var data = data || {}; data["April 2020"] = 
[[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,0,0,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,0,0,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,0,0,0,0,0,0,0,null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,3,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,2,2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,3,3,3,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,null,null,null,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,1,1,1,0,null,null,null,null,null,null,null,null,null,null,3,3,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,null,null,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,1,0.449408125466786,0.449408125466786,0,0,0,null,null,null,null,null,null,null,null,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,1,1,1,1,0.467494830570414,0.467494830570414,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0.721196582205093,1,1,1,0.99999999999992,1,1,null,null,null,null,null,null,null,null,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.721196582205093,1,1,1,0.00200486296246595,1,1,null,null,null,null,null,null,3,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.338757082509817,0.338757082509817,1,1,0.449408125466786,0.449408125466786,0,1,1,null,null,null,null,null,null,3,3,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.338757082509817,0.338757082509817,1,0.874933593834982,0,0,0,1,1,null,null,null,null,null,null,3,3,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.338757082509817,0.338757082509817,0.278803417794907,0,0,0,0.997995137037534,1,1,null,null,null,null,null,null,2,2,2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.338757082509817,0.338757082509817,0.278803417794907,0,0,0,0,1,1,null,null,null,null,null,null,1,1,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.51438207028864,5.51438207028864,5.51438207028864,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.338757082509817,0.338757082509817,0.278803417794907,0,0,0,0,1.93498966114075,1.93498966114075,null,null,null,null,3,3,1,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.5,5.5,5.5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2.71992564106041e-14,2.71992564106041e-14,2.23854969837766e-14,0,0,0,0.997995137037454,1.99999999999999,1.99999999999999,null,null,null,null,2.57068737389,2.57068737389,1.99999999999992,1.99999999999992,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.550591874533214,0.550591874533214,1,2,2,null,null,null,3,3,3,2,2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5.79058321571158e-14,1.0041747981864e-14,0.550591874533295,0.550591874533295,1.99799513703761,2.00000000000008,2.00000000000008,null,3,3,3,3,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2.71992564106041e-14,2.71992564106041e-14,0.721196582205116,0.125066406165089,1.55059187453321,1.55059187453321,2.99799513703753,3,3,null,3.00000000000012,3.00000000000012,3.00000000000016,3,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.338757082509817,0.338757082509817,1,1,1.55059187453321,1.55059187453321,2.99799513703753,3,3,1,4.47363834360306,4.47363834360306,4.97860280290478,3,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.33875708250982,1.33875708250982,2,1.12506640616502,2.55059187453321,2.55059187453321,3,4,4,4,4,4,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.977519745384575,1.33875708250982,1.33875708250982,2,1.12506640616502,2.55059187453321,2.55059187453321,3,4,4,4,3.4736383436031,3.4736383436031,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.637253883065484,1,1.33875708250982,1.33875708250982,2,1.12506640616502,2,2,2.99799513703753,3.53250516942959,3.53250516942959,3,2.47363834360306,2.47363834360306,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.5,5.5,5.5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.637253883065484,1,1.33875708250982,1.33875708250982,2,1.12506640616502,2,2,2,3,3,2.0406942769286,2.47363834360306,2.47363834360306,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5.50670420031286,5.50670420031286,5.50670420031286,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.317726584013978,0.317726584013978,1,1,1,1,1,1.12506640616502,2,2,1.00200486296247,2,2,2,2.94727668720611,2.94727668720611,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0187030022488372,1,1,1,1,1,1,1,1,2.10118374906643,2.10118374906643,1.00400972592493,1.46749483057041,1.46749483057041,1.0406942769286,2,2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0187030022488372,1,1,0.362746116934567,8.0291329140886e-14,1,1,1,0.125066406165089,1.55059187453326,1.55059187453326,1.99999999999992,1.00000000000004,1.00000000000004,0.0406942769286806,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999992,5.99999999999992,5.99999999999992,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,0,null,null,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0187030022488372,1,1,0.362746116934516,0,8.02913291408924e-14,8.02913291408924e-14,0.721196582205116,0.125066406165018,1.00000000000004,1.00000000000004,2.99599027407499,1.06501033885917,1.06501033885917,3.26739758302487e-15,null,null,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0187030022488372,1,1,0.362746116934516,0,0,0,0,0,0.550591874533214,0.550591874533214,2.99599027407491,1,1,1,null,null,3.99999999999992,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0187030022488372,1,1,0.362746116934516,0,0,0,0,0,0.550591874533214,0.550591874533214,1,null,null,null,3,3,2.99999999999992,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0187030022488372,0.999999999999975,0.999999999999975,0.362746116934487,0,0,0,0,0,0.55059187453317,0.55059187453317,null,null,null,null,3.00000000000004,3.00000000000004,2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0187030022488357,0.682273415985968,0.682273415985968,0,0,0,0,0,1.0041747981864e-14,8.02913291408924e-14,8.02913291408924e-14,null,null,null,null,3.52636165639694,3.52636165639694,2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.125066406165008,null,null,null,null,null,4,3.52636165639698,3.52636165639698,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.00417479818632e-14,null,null,null,null,null,null,3.99999999999996,3.99999999999996,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.981296997751084,0,0,0,0,0,0,0.721196582205035,null,null,null,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.739946633953519,0.981296997751163,0,0,0.637253883065433,0.99999999999992,0.338757082509789,0.338757082509789,0.999999999999978,null,3,3,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.739946633953579,0.981296997751163,0,0,0,0.977519745384653,1,1,1,null,1,1,2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.95503949076931,2,2,null,3.87493359383498,1.89881625093357,1.89881625093357,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.637253883065484,1.97751974538465,2,2,2,3.74986718766996,0.898816250933571,0.898816250933571,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.637253883065484,2.95503949076931,3,3,3,1.74986718766996,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0228963661991861,1,0.518780418378736,0.518780418378736,0,0,0,0,0.637253883065484,1.97751974538465,2.33875708250982,2.33875708250982,2.27880341779491,0.874933593834982,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0228963661991861,1,0.518780418378736,0.518780418378736,0,0,0,0,0,0,1.99999999999984,1.99999999999984,1.2788034177948,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0228963661991843,0.999999999999939,0.518780418378736,0.518780418378736,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.242282806010267,0.518780418378736,0.518780418378736,0,0,0,0,0,0,0,0,0,7.02495811590284e-14,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.242282806010267,0.518780418378736,0.518780418378736,0,0,0,0,0,0,0,0,0,0.874933593835072,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.242282806010267,0.518780418378736,0.518780418378736,0,0,0,0,0,0,0,0,0,2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.242282806010267,0.518780418378736,0.518780418378736,0,0,0,0,0,0,0,0,1.44239316441007,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.242282806010267,0.518780418378736,0.518780418378736,0,0,0,0,0,0,0,0,1.44239316441019,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.44239316441019,4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.721196582205151,4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.661242917490183,0.661242917490183,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.375199218495045,2.99999999999992,2.99999999999992,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.250132812330037,2,2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.125066406165018,1,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.125066406165018,1,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.125066406165018,1,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.317726584013978,0.317726584013978,0.362746116934516,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.317726584013978,0.317726584013978,0.362746116934516,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.637253883065484,0.0224802546153465,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.637253883065484,0.0224802546153465,0,0,0,0,0,0,2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.550591874533214,0.550591874533214,2.99599027407507,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.99599027407507,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.00000000000008,1.00000000000008,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.9186114461428,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.40248449171124,1.40248449171124,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5.3092072730284e-14,5.3092072730284e-14,0,0,0,0,0,0.467494830570495,0.467494830570495,1.00000000000016,3,3,4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.661242917490183,0.661242917490183,0,0,0,0,0,1.46749483057041,1.46749483057041,2.9593057230714,3,3,4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.934989661140753,0.934989661140753,1.99999999999992,3,3,null,3.00000000000008,3.00000000000008,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9593057230714,3,3,null,4,4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2.4736383436031,2.4736383436031,null,4.42931262611008,4.42931262611008,4.00000000000008,4.00000000000008,4.00000000000008,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.473638343603216,0.473638343603216,2.02139719709546,4.00000000000003,4.00000000000003,4.99999999999992,4.99999999999992,4.99999999999992,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3.802905213998e-14,3.802905213998e-14,1.6230066767645e-13,4,4,5.99999999999992,5.99999999999992,5.23977355583904,null,null,null,null,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0106985985476115,1,1,5,5,5,5,5,null,null,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.570687373889966,0.570687373889966,4,4,5,5,5,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.570687373889966,0.570687373889966,3.15380012359845,3.15380012359845,null,5,5,null,null,null,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.473638343603017,0.473638343603017,0,0,0,1.15380012359838,1.15380012359838,4.28067933248277,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.15380012359838,1.15380012359838,3.52045288832189,4.5,4.5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.15380012359838,0.15380012359838,1.76022644416094,4.39014963538707,4.39014963538707,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.52045288832189,3.78029927077417,3.78029927077417,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.52045288832189,2,2,4.99999999999976,4.99999999999976,4.99999999999996,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.52045288832189,2,2,2.04374624764041,2.04374624764041,4.44237123145741,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.52045288832189,1.60985036461296,1.60985036461296,1.04374624764049,1.04374624764049,2.72118561572884,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.55059187453317,0.55059187453317,0.00200486296246579,0,0,0,0,0,0,0,0,1.15380012359829,1.15380012359829,1.99999999999996,1.39014963538709,1.39014963538709,1.99999999999992,1.99999999999992,2.72118561572871,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.550591874533214,0.550591874533214,0.00200486296246595,0,0,0,0,0,0,0,0,1,1,1.76022644416094,1,1,2,2,2.72118561572871,4,4,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.15380012359838,0.15380012359838,1,0.390149635387075,0.390149635387075,2,2,2,2,2,5.14823099319091,5.14823099319091,6,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.550591874533214,0.550591874533214,0.00200486296246595,0,0,0,0,0,0,0,0,0,0,1.52045288832189,1.60985036461292,1.60985036461292,0,0,0,0.422629379740889,0.422629379740889,4.14823099319091,4.14823099319091,5,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2.28067933248277,1.6098503646129,1.6098503646129,0,0,0,0.422629379740872,0.422629379740872,2.29646198638173,2.29646198638173,4.89813521890059,5,5,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.760226444160944,0.99999999999996,0.99999999999996,4.01456645704446e-14,4.01456645704446e-14,1.11931887483704e-14,0,0,0.296461986381847,0.296461986381847,1.99999999999996,4.99999999999996,4.99999999999996,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.760226444160944,0,0,1,1,0.278814384271295,0,0,1.14823099319091,1.14823099319091,1.1018647810993,4,4,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.760226444160944,1,1,1,1,0.278814384271295,0,0,0.148230993190906,0.148230993190906,0.101864781099296,1.67247761313223,1.67247761313223,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.760226444160944,1,1,1.0437462476404,1.0437462476404,0.557628768542578,0,0,5.95083173158623e-15,5.95083173158623e-15,4.08942933355426e-15,0.672477613132265,0.672477613132265,4.47138399856126,4.47138399856126,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3.05197958248683e-14,1,1,1.04374624764041,1.04374624764041,1.27881438427127,0.422629379740872,0.422629379740872,0,0,0,2.69970606879406e-14,2.69970606879406e-14,3.00000000000006,3.00000000000006,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.04374624764041,1.04374624764041,2.72118561572871,1.42262937974089,1.42262937974089,0,0,0,0,0,1.94276799712247,1.94276799712247,5,5,4.14334013103525,4.14334013103525,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.390149635387075,0.390149635387075,1,1,2.44237123145741,1,1,0,0,0,0,0,1.94276799712247,1.94276799712247,6,6,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4.00651780144453e-14,0,0,0,0,0,0,0,0,0,0,0,0.390149635387075,0.390149635387075,1.04374624764045,1.04374624764045,2.72118561572871,1.57737062025911,1.57737062025911,5.95083173158623e-15,5.95083173158623e-15,0.898135218900744,0,0,0.471383998561216,0.471383998561216,5.99999999999996,5.99999999999996,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,0,0,0,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2.21038767102236e-14,2.21038767102236e-14,0.997995137037534,2.13777739139488e-14,2.13777739139488e-14,0,0,0,0,0,0,0,0,0,0.390149635387075,0.390149635387075,2,2,2.72118561572872,1.57737062025913,1.57737062025913,0.148230993190906,0.148230993190906,1.89813521890074,1.31486038825056e-14,1.31486038825056e-14,0,0,4.99999999999994,4.99999999999994,5.00000000000004,5.00000000000004,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,5.00000000000003,5.00000000000003,5.00000000000004,5.00000000000004,null,null,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,null,null,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.550591874533214,0.550591874533214,1,0.532505169429586,0.532505169429586,0,0,0,0,0,0,0,0,0,0.390149635387075,0.390149635387075,2.04374624764041,2.04374624764041,3,2,2,0.148230993190906,0.148230993190906,2.79627043780141,0.327522386867775,0.327522386867775,0,0,3.5899398535423,3.5899398535423,6,6,4.98341202974852,4.98341202974852,4.91479486498983,4.91479486498983,5,5,5,5.5,5.5,5,5,5,5,5,6,6,5.90516308762876,5.90516308762876,5.9956493775646,5.9956493775646,6,6,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.55059187453317,0.55059187453317,1,0.532505169429623,0.532505169429623,3.26739758302474e-15,0,0,0,0,0,0,0,0,0.609850364612907,0.609850364612907,2.04374624764041,2.04374624764041,2.27881438427135,2.42262937974093,2.42262937974093,1.99999999999993,1.99999999999993,3.79627043780141,0.655044773735576,0.655044773735576,0,0,1.58993985354222,1.58993985354222,5,5,5.99999999999992,5.99999999999992,5.99999999999992,5.99999999999992,4.99999999999999,4.99999999999999,5.00000000000006,5.24020701152488,5.24020701152488,5.00000000000006,5.00000000000006,5,5,5,5.83108685594486,5.83108685594486,5.09483691237123,5.09483691237123,5.9956493775646,5.9956493775646,5.8714026325568,5.8714026325568,5.00000000000008,5.00000000000008,5.45197093658714,5.45197093658714,5.00000000000003,5.00000000000003,5.00000000000003,5.00000000000001,5.00000000000001,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.997995137037534,1,1,0.0406942769286388,0,0,0,0,0,0,0,0,0.390149635387059,0.390149635387059,2.04374624764041,2.04374624764041,3,3,3,1.14823099319094,1.14823099319094,3.79627043780137,0.982567160603324,0.982567160603324,0,0,0.589939853542317,0.589939853542317,null,null,5,5,5,5,4.83802972671549,4.83802972671549,5.78634838135422,5.75979298847516,5.75979298847516,5.75839145747185,5.75839145747185,5.00000000000004,5.00000000000004,5.00000000000004,5.16891314405508,5.16891314405508,5,5,5.99564937756456,5.99564937756456,6,6,6,6,5.5480290634129,5.5480290634129,5.34909726313129,5.34909726313129,5.34909726313129,5.1254973754001,5.1254973754001,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.997995137037534,1,1,1,0,0,0,0,0,0,0,0,0,0,2.04374624764041,2.04374624764041,3,3,3,2,2,2.8981352189007,0.982567160603324,0.982567160603324,0,0,1,1,6,6,5,5,5,5,6,6,5,5.75979298847516,5.75979298847516,5.24160854252813,5.24160854252813,6,6,6,5,5,5,5,5.0043506224354,5.0043506224354,6,6,6,6,6.54802906341286,6.54802906341286,5.34909726313129,5.34909726313129,5.34909726313129,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.997995137037534,1.46749483057041,1.46749483057041,2,0,0,0,0,0,0,0,0,0,0,2,2,2.72118561572871,2.42262937974089,2.42262937974089,2,2,2.8981352189007,0.982567160603324,0.982567160603324,0,0,1,1,4.2866802620705,4.2866802620705,5,5,5.91479486498983,5.91479486498983,5.16197027328456,5.16197027328456,5,5.24020701152484,5.24020701152484,5.24160854252813,5.24160854252813,5.21784313776145,5.21784313776145,5.21784313776145,5,5,5.90516308762876,5.90516308762876,5,5,6,6,6.27783350512363,6.27783350512363,7,7,6.34909726313129,6.34909726313129,6.34909726313129,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.46749483057041,1.46749483057041,2,1,1,0,0.570687373889966,0.570687373889966,0.84619987640162,0.84619987640162,0,0,0,0.0874924952808136,0.0874924952808136,2,1.42262937974089,1.42262937974089,3,3,3.8981352189007,1.98256716060332,1.98256716060332,0.471383998561235,0.471383998561235,0.29496992677115,0.29496992677115,4.14334013103525,4.14334013103525,5,5,5.91479486498983,5.91479486498983,5,5,5.21365161864575,5.75979298847516,5.75979298847516,5.24160854252813,5.24160854252813,5,5,5,5,5,4.09483691237124,4.09483691237124,5,5,6,6,6.27783350512363,6.27783350512363,7.45197093658714,7.45197093658714,8.34909726313129,8.34909726313129,8.34909726313129,7.87450262459994,7.87450262459994,5.8773755514953,5.8773755514953,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.934989661140828,0.934989661140828,2,1,1,1,1,1,1,1,0.239773555839056,0,0,0.0437462476404068,0.0437462476404068,1,0.422629379740889,0.422629379740889,2.14823099319091,2.14823099319091,3.8981352189007,2.65504477373555,2.65504477373555,2,2,0.29496992677115,0.29496992677115,4.14334013103525,4.14334013103525,5,5,5.91479486498983,5.91479486498983,6,6,5,5,5,5.24160854252813,5.24160854252813,5,5,5,5,5,4.09483691237124,4.09483691237124,5,5,5.87140263255679,5.87140263255679,6.27783350512363,6.27783350512363,7.90394187317427,7.90394187317427,9,9,9,8.12549737540006,8.12549737540006,5.8773755514953,5.8773755514953,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.467494830570433,0.467494830570433,1.9593057230714,1.52636165639692,1.52636165639692,1,1,1,1.99999999999996,1.99999999999996,0.479547111678101,0,0,1.75622218398744e-15,1.75622218398744e-15,0.721185615728717,1.69667373166935e-14,1.69667373166935e-14,1.14823099319095,1.14823099319095,2.89813521890074,2.99999999999999,2.99999999999999,2.47138399856122,2.47138399856122,0.29496992677115,0.29496992677115,4.14334013103525,4.14334013103525,4.01658797025152,4.01658797025152,5.00000000000004,5.00000000000004,5.16197027328459,5.16197027328459,4.21365161864578,5,5,5.24160854252813,5.24160854252813,5.99999999999996,5.99999999999996,5.99999999999996,5,5,4.99999999999996,4.99999999999996,5.99999999999996,5.99999999999996,5.87140263255679,5.87140263255679,6.00000000000001,6.00000000000001,7.00000000000004,7.00000000000004,8.00000000000004,8.00000000000004,8.00000000000004,8.87450262459991,8.87450262459991,6,6,5.60489830676503,5.60489830676503,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.467494830570414,0.467494830570414,1.9593057230714,2,2,1,1,1,2,2,0.479547111678111,0,0,0,0,0,0,0,0.148230993190906,0.148230993190906,1.8981352189007,2.67247761313223,2.67247761313223,3.94276799712247,3.94276799712247,3.70503007322885,3.70503007322885,2,2,1.01658797025148,1.01658797025148,2,2,3,3,3.21365161864575,5.51958597695033,5.51958597695033,6,6,6.78215686223855,6.78215686223855,6.78215686223855,6,6,6,6,6,6,7,7,6.72216649487637,6.72216649487637,6,6,6,6,6,6.87450262459994,6.87450262459994,7,7,6.2097966135301,6.2097966135301,5.6917470071351,5.6917470071351,5.6917470071351,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.467494830570414,0.467494830570414,1.95930572307144,1.52636165639697,1.52636165639697,1.00000000000004,1,1,1.15380012359839,1.15380012359839,0.47954711167809,-2.44828481759148e-14,-2.44828481759148e-14,0,0,0,0,0,0.148230993190912,0.148230993190912,1.00000000000004,2.67247761313226,2.67247761313226,4.47138399856122,4.47138399856122,3.70503007322881,3.70503007322881,2.71331973792949,2.71331973792949,1.00000000000004,1.00000000000004,1,1,2.83802972671532,2.83802972671532,4.99999999999993,5.99999999999999,5.99999999999999,6.75839145747187,6.75839145747187,6.78215686223857,6.78215686223857,6.78215686223857,6.00000000000001,6.00000000000001,5.90516308762875,5.90516308762875,4.99999999999996,4.99999999999996,6.12859736744321,6.12859736744321,5.72216649487639,5.72216649487639,4.99999999999998,4.99999999999998,6.00000000000004,6.00000000000004,6.00000000000004,6.00000000000004,6.00000000000004,6.1226244485047,6.1226244485047,6.60489830676502,6.60489830676502,5.99999999999996,5.99999999999996,5.99999999999996,4.99999999999996,4.99999999999996,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,0,0,0,0,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.467494830570414,0.467494830570414,1,0.999999999999981,0.999999999999981,0.0106985985476111,0.999999999999983,0.999999999999983,1,1,1,0.609850364612941,0.609850364612941,0,0,0,0,0,0,0,0,1.67247761313225,1.67247761313225,4.94276799712247,4.94276799712247,4.70503007322885,4.70503007322885,2.85665986896475,2.85665986896475,0.0165879702514819,0.0165879702514819,1.00000000000012,1.00000000000012,6,6,6.78634838135425,6.24020701152491,6.24020701152491,6.75839145747189,6.75839145747189,6.21784313776144,6.21784313776144,6.21784313776144,5.83108685594492,5.83108685594492,6.09483691237124,6.09483691237124,6,6,5.99999999999996,5.99999999999996,5.27783350512363,5.27783350512363,5.5480290634129,5.5480290634129,4.99999999999997,4.99999999999997,4.99999999999997,4.99999999999996,4.99999999999996,6.1226244485047,6.1226244485047,7.39510169323495,7.39510169323495,7.00000000000003,7.00000000000003,7.00000000000003,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.467494830570414,0.467494830570414,1,0.526361656396923,0.526361656396923,0,0.570687373889944,0.570687373889944,1,1,1,1,1,0,0,0,0,0,0,0,0,2.34495522626448,2.34495522626448,4.94276799712247,4.94276799712247,4.70503007322882,4.70503007322882,3.00000000000003,3.00000000000003,0.049763910754443,0.049763910754443,3.91479486498987,3.91479486498987,6,6,6.7863483813543,8,8,7.24160854252814,7.24160854252814,6,6,6,6,6,6.09483691237127,6.09483691237127,5.9956493775646,5.9956493775646,5,5,5.27783350512366,5.27783350512366,6.54802906341286,6.54802906341286,4.34909726313133,4.34909726313133,4.34909726313133,3.99999999999996,3.99999999999996,5.99999999999997,5.99999999999997,7.39510169323491,7.39510169323491,7.69174700713512,7.69174700713512,7.69174700713512,6.00000000000004,6.00000000000004,6.00000000000001,6.00000000000001,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.467494830570395,0.467494830570395,0.999999999999998,0,0,0,0,0,1,1,1,1.00000000000002,1.00000000000002,0,0,0,0,0,0,0,0,3.01743283939668,3.01743283939668,4.94276799712249,4.94276799712249,4.00000000000005,4.00000000000005,3.8566598689648,3.8566598689648,0.0829398512576404,0.0829398512576404,5.00000000000008,5.00000000000008,6.00000000000007,6.00000000000007,8.00000000000003,8.00000000000003,8.00000000000003,7.48321708505623,7.48321708505623,6,6,6,5.99999999999997,5.99999999999997,6.99999999999996,6.99999999999996,6,6,5,5,6.00000000000001,6.00000000000001,6.54802906341288,6.54802906341288,5.34909726313133,5.34909726313133,5.34909726313133,3.12549737540018,3.12549737540018,5.12262444850452,5.12262444850452,6.39510169323492,6.39510169323492,7.99999999999999,7.99999999999999,7.99999999999999,6.98764824541445,6.98764824541445,6.28662880875221,6.28662880875221,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.9593057230714,0,0,0,0,0,1,1,1,1.39014963538708,1.39014963538708,0,0,0,0,0,0,0,0,3.01743283939668,3.01743283939668,5.47138399856123,5.47138399856123,5.29496992677115,5.29496992677115,5.14334013103525,5.14334013103525,6,6,6.91479486498983,6.91479486498983,7.83802972671544,7.83802972671544,8.78634838135425,8.75979298847516,8.75979298847516,6.48321708505627,6.48321708505627,6,6,6,5.16891314405509,5.16891314405509,6.09483691237124,6.09483691237124,6,6,5.12859736744321,5.12859736744321,6.27783350512363,6.27783350512363,7,7,6.34909726313129,6.34909726313129,6.34909726313129,6,6,0.613122242523506,0.613122242523506,5.7902033864699,5.7902033864699,7.6917470071351,7.6917470071351,7.6917470071351,6.98764824541445,6.98764824541445,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3.85119657789322e-14,0,0,0,0,0,1,1,1,1.39014963538708,1.39014963538708,0,0,0,0,0,0,0,0,1.67247761313228,1.67247761313228,5.47138399856123,5.47138399856123,5.99999999999997,5.99999999999997,5.00000000000001,5.00000000000001,6,6,6.00000000000004,6.00000000000004,7.00000000000003,7.00000000000003,8.78634838135425,8.24020701152486,8.24020701152486,6.48321708505627,6.48321708505627,5.78215686223856,5.78215686223856,5.78215686223856,4.16891314405513,4.16891314405513,6.09483691237124,6.09483691237124,6,6,5,5,6.27783350512363,6.27783350512363,7.54802906341284,7.54802906341284,6.99999999999997,6.99999999999997,6.99999999999997,6.12549737540006,6.12549737540006,1.12262444850468,1.12262444850468,5.00000000000003,5.00000000000003,6.00000000000007,6.00000000000007,6.00000000000007,7,7,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.15380012359838,0.15380012359838,1,1.39014963538708,1.39014963538708,0.956253752359593,0.956253752359593,0,0,0,0,0,0,0.672477613132225,0.672477613132225,3.47138399856123,3.47138399856123,3.4100601464577,3.4100601464577,3.14334013103525,3.14334013103525,5.98341202974852,5.98341202974852,5.91479486498983,5.91479486498983,7.83802972671544,7.83802972671544,8,8,8,5.48321708505627,5.48321708505627,5,5,5,4.66217371188982,4.66217371188982,6.90516308762876,6.90516308762876,6,6,6,6,8,8,8,8,8,8,8,7.12549737540006,7.12549737540006,4.6321266544859,4.6321266544859,0.790203386469897,0.790203386469897,5,5,5,6,6,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,0,null,null,null,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.15380012359838,0.15380012359838,1,1.39014963538708,1.39014963538708,0.956253752359593,0.956253752359593,0,0,0,0,0,0,0.672477613132225,0.672477613132225,1.52861600143877,1.52861600143877,2.4100601464577,2.4100601464577,4.14334013103525,4.14334013103525,6,6,6,6,6.83802972671544,6.83802972671544,8,7.24020701152483,7.24020701152483,5.24160854252813,5.24160854252813,2.21784313776145,2.21784313776145,2.21784313776145,5.49326056783474,5.49326056783474,6,6,6.0043506224354,6.0043506224354,6.12859736744321,6.12859736744321,8,8,7.90394187317427,7.90394187317427,8,8,8,7.12549737540006,7.12549737540006,5,5,2.60489830676505,2.60489830676505,3.07524102140531,3.07524102140531,3.07524102140531,6,6,6.64331440437611,6.64331440437611,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.15380012359838,0.15380012359838,1,1.39014963538708,1.39014963538708,0.956253752359593,0.956253752359593,0,0,0,0,0,0,0,0,0.528616001438765,0.528616001438765,2,2,4.14334013103525,4.14334013103525,5.98341202974852,5.98341202974852,5.91479486498983,5.91479486498983,7,7,7.78634838135425,6.24020701152484,6.24020701152484,5.24160854252813,5.24160854252813,3,3,3,5,5,6,6,6,6,6.12859736744321,6.12859736744321,8,8,8,8,7.69819452626258,7.69819452626258,7.69819452626258,7.12549737540006,7.12549737540006,5.8773755514953,5.8773755514953,5.2097966135301,5.2097966135301,3,3,3,6.01235175458555,6.01235175458555,6.64331440437611,6.64331440437611,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0106985985476115,1,1,0.153800123598374,0.153800123598374,0.99999999999999,1,1,0.956253752359593,0.956253752359593,0,0,0,0,0,0,0,0,0.471383998561216,0.471383998561216,2.70503007322878,2.70503007322878,3.14334013103529,3.14334013103529,5.01658797025148,5.01658797025148,6,6,6.00000000000003,6.00000000000003,6.78634838135423,5.24020701152484,5.24020701152484,4.99999999999995,4.99999999999995,5.78215686223855,5.78215686223855,5.78215686223855,6.83108685594495,6.83108685594495,6.09483691237127,6.09483691237127,6.00000000000004,6.00000000000004,6.1285973674432,6.1285973674432,7,7,7.45197093658714,7.45197093658714,7.34909726313125,7.34909726313125,7.34909726313125,6.12549737540006,6.12549737540006,7.7547511029906,7.7547511029906,7.39510169323496,7.39510169323496,6.30825299286498,6.30825299286498,6.30825299286498,7.01235175458559,7.01235175458559,6.64331440437611,6.64331440437611,5.27550390441898,5.27550390441898,5.27550390441898,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0106985985476508,0.99999999999996,0.99999999999996,0,0,0.760226444160944,1,1,0.956253752359595,0.956253752359595,1.11931887483704e-14,2.31789272537518e-14,2.31789272537518e-14,0,0,0,0,0,0,0,0.99999999999996,0.99999999999996,4.14334013103516,4.14334013103516,5.01658797025136,5.01658797025136,5.99999999999996,5.99999999999996,6.8380297267154,6.8380297267154,6.21365161864574,5.24020701152484,5.24020701152484,3.72482562758436,3.72482562758436,5.78215686223854,5.78215686223854,5.78215686223854,7.83108685594491,7.83108685594491,6.99999999999996,6.99999999999996,6.99564937756456,6.99564937756456,6,6,7.00000000000001,7.00000000000001,7.45197093658712,7.45197093658712,6.34909726313132,6.34909726313132,6.34909726313132,6,6,7.87737555149531,7.87737555149531,7.79020338646995,7.79020338646995,8.30825299286498,8.30825299286498,8.30825299286498,8,8,6.64331440437615,6.64331440437615,5.275503904419,5.275503904419,5.275503904419,5.50000000000002,5.50000000000002,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,null,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.989301401452388,0,0,0,0,0.760226444160944,1,1,1,1,0.278814384271295,0.577370620259111,0.577370620259111,0,0,0,0,0,0,0,0,0,2,2,2.04976391075444,2.04976391075444,5,5,5.83802972671544,5.83802972671544,6,5.24020701152484,5.24020701152484,2.7248256275844,2.7248256275844,5.5643137244771,5.5643137244771,5.5643137244771,7.83108685594491,7.83108685594491,6.09483691237124,6.09483691237124,6,6,6,6,7.27783350512363,7.27783350512363,7,7,7,7,7,6.12549737540006,6.12549737540006,8.1226244485047,8.1226244485047,9.18530507970484,9.18530507970484,10.3082529928649,10.3082529928649,10.3082529928649,8,8,7.64331440437611,7.64331440437611,5.72449609558102,5.72449609558102,5.72449609558102,5.8844916325098,5.8844916325098,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.760226444160914,0.999999999999984,0.999999999999984,0.99999999999996,0.99999999999996,0.278814384271313,1,1,0,0,0,0,0,0,0,0,0,0.286680262070502,0.286680262070502,4.01658797025152,4.01658797025152,5.00000000000004,5.00000000000004,5.99999999999996,5.99999999999996,5.99999999999996,5.99999999999997,5.99999999999997,4.48321708505623,4.48321708505623,5.56431372447699,5.56431372447699,5.56431372447699,7.66217371188976,7.66217371188976,7,7,6,6,6.87140263255675,6.87140263255675,6.99999999999996,6.99999999999996,6.99999999999998,6.99999999999998,6.34909726313129,6.34909726313129,6.34909726313129,6.12549737540006,6.12549737540006,7.1226244485047,7.1226244485047,8.39510169323491,8.39510169323491,9.99999999999996,9.99999999999996,9.99999999999996,8.98764824541445,8.98764824541445,7.64331440437617,7.64331440437617,6.27550390441908,6.27550390441908,6.27550390441908,5.88449163250984,5.88449163250984,5.00000000000006,5.00000000000006,5.00000000000006,5.49999999999998,5.49999999999998,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.609850364612925,0.609850364612925,0,0,0.721185615728705,1,1,0,0,0,0,0,0,0,4.01456645704462e-14,4.01456645704462e-14,0.286680262070565,0.286680262070565,4.99999999999992,4.99999999999992,5.91479486498976,5.91479486498976,5,5,4.99999999999999,5.24020701152486,5.24020701152486,3.48321708505624,3.48321708505624,2.78215686223851,2.78215686223851,2.78215686223851,5.99999999999995,5.99999999999995,7.00000000000004,7.00000000000004,6.00000000000004,6.00000000000004,5.99999999999992,5.99999999999992,6,6,6.54802906341288,6.54802906341288,6.34909726313128,6.34909726313128,6.34909726313128,6,6,7,7,7.39510169323496,7.39510169323496,8.99999999999999,8.99999999999999,8.99999999999999,8.99999999999996,8.99999999999996,9.00000000000003,9.00000000000003,8.72449609558104,8.72449609558104,8.72449609558104,6.88449163250992,6.88449163250992,6.52942475003531,6.52942475003531,6.52942475003531,5.0340754762064,5.0340754762064,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.6098503646129,0.6098503646129,0,0,0.721185615728705,1,1,3.419483283886e-14,3.419483283886e-14,0,0,0,0,0,1.00000000000004,1.00000000000004,1.85665986896482,1.85665986896482,3.03317594050288,3.03317594050288,4.08520513501017,4.08520513501017,5,5,4.78634838135425,5.75979298847514,5.75979298847514,2.72482562758435,2.72482562758435,1.78215686223852,1.78215686223852,1.78215686223852,4.83108685594483,4.83108685594483,7.90516308762868,7.90516308762868,6.9956493775646,6.9956493775646,3.99999999999997,3.99999999999997,5.99999999999997,5.99999999999997,6.99999999999994,6.99999999999994,6.00000000000004,6.00000000000004,6.00000000000004,6.12549737540009,6.12549737540009,6.99999999999997,6.99999999999997,7.7902033864699,7.7902033864699,8.69174700713504,8.69174700713504,8.69174700713504,8.02470350917114,8.02470350917114,9.64331440437612,9.64331440437612,9.27550390441898,9.27550390441898,9.27550390441898,9.88449163250981,9.88449163250981,7.47057524996479,7.47057524996479,7.47057524996479,6.00000000000004,6.00000000000004,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.75622218398737e-15,1.75622218398737e-15,0.721185615728717,1,1,0.8517690068091,0.8517690068091,4.0894293335541e-15,0,0,0,0,1.99999999999992,1.99999999999992,3.71331973792943,3.71331973792943,1.04976391075452,1.04976391075452,4,4,4.99999999999996,4.99999999999996,4.78634838135417,5.24020701152475,5.24020701152475,1.48321708505626,1.48321708505626,0.999999999999969,0.999999999999969,0.999999999999969,2.8310868559448,2.8310868559448,5.90516308762872,5.90516308762872,6.9956493775646,6.9956493775646,3.25719473488643,3.25719473488643,5.27783350512366,5.27783350512366,5.45197093658716,5.45197093658716,6.99999999999996,6.99999999999996,6.99999999999996,6.8745026245999,6.8745026245999,6.12262444850474,6.12262444850474,8,8,7.00000000000008,7.00000000000008,7.00000000000008,8.99999999999996,8.99999999999996,10,10,9.27550390441905,9.27550390441905,9.27550390441905,10,10,8.94115049992954,8.94115049992954,8.94115049992954,7.00000000000008,7.00000000000008,6.00000000000006,6.00000000000006,5.00000000000004,5.00000000000004,5.00000000000004,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0437462476404068,0.0437462476404068,1,1,1,1,1,0.101864781099296,0,0,0,0,0,0,2.14334013103525,2.14334013103525,3.01658797025148,3.01658797025148,4,4,4,4,2.78634838135425,3,3,1.24160854252813,1.24160854252813,0.21784313776145,0.21784313776145,0.21784313776145,0,0,4.71548926288629,4.71548926288629,6.9956493775646,6.9956493775646,3.38579210232963,3.38579210232963,6,6,6,6,6,6,6,5.87450262459994,5.87450262459994,7.1226244485047,7.1226244485047,8,8,9,9,9,8.0247035091711,8.0247035091711,10.3566855956239,10.3566855956239,11,11,11,10.1155083674902,10.1155083674902,11,11,11,9.03407547620636,9.03407547620636,7.57533633149674,7.57533633149674,6.09472533596498,6.09472533596498,6.09472533596498,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,0,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.04374624764037,1.04374624764037,1.99999999999996,1,1,1,1,0.101864781099296,0,0,0,0,0,0,0.286680262070577,0.286680262070577,3,3,3.91479486498983,3.91479486498983,4,4,2.21365161864577,2.00000000000004,2.00000000000004,1.24160854252813,1.24160854252813,0.21784313776145,0.21784313776145,0.21784313776145,0,0,4.71548926288629,4.71548926288629,7,7,4.99999999999993,4.99999999999993,6,6,5.54802906341288,5.54802906341288,5.65090273686872,5.65090273686872,5.65090273686872,5.87450262459994,5.87450262459994,7.00000000000001,7.00000000000001,8,8,10.691747007135,10.691747007135,10.691747007135,9.02470350917106,9.02470350917106,10.3566855956239,10.3566855956239,11,11,11,10.8844916325098,10.8844916325098,11,11,11,9,9,8.57533633149671,8.57533633149671,6.09472533596498,6.09472533596498,6.09472533596498,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,null,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.390149635387075,0.390149635387075,2,2,2,1,1,0.148230993190906,0.148230993190906,1,0,0,0.528616001438765,0.528616001438765,0,0,0,0,0.0497639107544417,0.0497639107544417,3.91479486498983,3.91479486498983,5,5,2.4273032372915,1,1,1,1,0,0,0,0,0,5.71548926288629,5.71548926288629,6.9956493775646,6.9956493775646,5.87140263255679,5.87140263255679,6,6,6,6,6,6,6,6,6,6.8773755514953,6.8773755514953,8.7902033864699,8.7902033864699,10,10,10,10.0123517545856,10.0123517545856,11.3566855956239,11.3566855956239,11.724496095581,11.724496095581,11.724496095581,11,11,10,10,10,null,null,null,null,8,8,8,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.390149635387075,0.390149635387075,1.95625375235959,1.95625375235959,1.00000000000004,1,1,5.95083173158599e-15,5.95083173158599e-15,0.898135218900708,0.99999999999996,0.99999999999996,1.99999999999994,1.99999999999994,0,0,0,0,0.0331759405029618,0.0331759405029618,3.82958972997966,3.82958972997966,5.83802972671541,5.83802972671541,3.21365161864572,1.24020701152483,1.24020701152483,1,1,0,0,0,0,0,5.81032617525752,5.81032617525752,6.9956493775646,6.9956493775646,5.99999999999999,5.99999999999999,6.99999999999996,6.99999999999996,6.54802906341284,6.54802906341284,5.34909726313132,5.34909726313132,5.34909726313132,5.87450262459994,5.87450262459994,7,7,9.39510169323492,9.39510169323492,10,10,10,9.01235175458559,9.01235175458559,11.3566855956239,11.3566855956239,11,11,11,11,11,10.4705752499647,10.4705752499647,10.4705752499647,null,null,null,null,7.00000000000004,7.00000000000004,7.00000000000004,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,0,0,0,0,0,0,null,null,null,null,0,0,0,0,0,0,null,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.390149635387075,0.390149635387075,1,1,1,1,1,1,1,1,1.67247761313223,1.67247761313223,2,2,0,0,0.856659868964749,0.856659868964749,0.0331759405029611,0.0331759405029611,2.91479486498983,2.91479486498983,4,4,5.78634838135425,1.96082804609934,1.96082804609934,1,1,1,1,1,0,0,5.71548926288629,5.71548926288629,6.9956493775646,6.9956493775646,6,6,7,7,7,7,7,7,7,7,7,6.1226244485047,6.1226244485047,8.39510169323495,8.39510169323495,9.3082529928649,9.3082529928649,9.3082529928649,8,8,10.3566855956239,10.3566855956239,12,12,12,11,11,10,10,10,null,null,null,null,8,8,8,6.59263366231278,6.59263366231278,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0.999999999999983,0.999999999999983,1,1,1,2,2,2.47138399856126,2.47138399856126,3,3,3.00000000000003,3.00000000000003,7.89594589616483e-14,7.89594589616483e-14,0,0,0,0,3.99999999999992,0.240207011524826,0.240207011524826,0,0,0,0,0,3.33645341476699e-14,3.33645341476699e-14,6.71548926288626,6.71548926288626,6.9956493775646,6.9956493775646,6.12859736744321,6.12859736744321,7.00000000000001,7.00000000000001,8,8,8,8,8,7.1254973754001,7.1254973754001,6.12262444850473,6.12262444850473,7.99999999999998,7.99999999999998,7.69174700713511,7.69174700713511,7.69174700713511,8,8,9.35668559562385,9.35668559562385,11,11,11,11.8844916325098,11.8844916325098,10,10,10,9,9,null,null,null,null,null,8.1852673246256,8.1852673246256,7,7,7,7.99999999999996,7.99999999999996,7.99999999999996,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.99999999999996,0.99999999999996,0.99999999999996,0.577370620259088,0.577370620259088,0.99999999999996,0.99999999999996,0.999999999999996,2,2,2.99999999999998,2.99999999999998,3.00000000000001,3.00000000000001,3.85665986896475,3.85665986896475,1.96682405949704,1.96682405949704,4.69868981100419e-14,4.69868981100419e-14,0,0,1.99999999999992,9.64327011214534e-15,9.64327011214534e-15,3.04461290647574e-14,3.04461290647574e-14,8.74545753754467e-15,8.74545753754467e-15,8.74545753754467e-15,0.831086855945052,0.831086855945052,6,6,6.99564937756452,6.99564937756452,6.12859736744324,6.12859736744324,7.27783350512362,7.27783350512362,7.99999999999996,7.99999999999996,8.00000000000003,8.00000000000003,8.00000000000003,8,8,6.87737555149525,6.87737555149525,7.60489830676502,7.60489830676502,7.69174700713509,7.69174700713509,7.69174700713509,7.98764824541441,7.98764824541441,8.35668559562385,8.35668559562385,9.99999999999999,9.99999999999999,9.99999999999999,11.8844916325098,11.8844916325098,10.4705752499647,10.4705752499647,10.4705752499647,9.00000000000004,9.00000000000004,7.5,7.5,null,null,null,null,null,7.06947623966945,7.06947623966945,7.06947623966945,7.00000000000004,7.00000000000004,7.00000000000004,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.898135218900704,2,2,2.47138399856123,2.47138399856123,3.29496992677115,3.29496992677115,3.85665986896475,3.85665986896475,2.01658797025148,2.01658797025148,1.17041027002034,1.17041027002034,0,0,0,0.240207011524835,0.240207011524835,0.758391457471867,0.758391457471867,0.21784313776145,0.21784313776145,0.21784313776145,4.32434742377965,4.32434742377965,6.09483691237124,6.09483691237124,5,5,7,7,7,7,7,7,8.65090273686871,8.65090273686871,8.65090273686871,8,8,5.6321266544859,5.6321266544859,6.7902033864699,6.7902033864699,7.3082529928649,7.3082529928649,7.3082529928649,7.01235175458555,7.01235175458555,7.35668559562389,7.35668559562389,9.72449609558102,9.72449609558102,9.72449609558102,11.8844916325098,11.8844916325098,10,10,10,10,10,7.57533633149674,7.57533633149674,8,8,8,null,null,null,null,null,8.05138361234986,8.05138361234986,8.05138361234986,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.898135218900704,2,2,2.47138399856126,2.47138399856126,3.29496992677115,3.29496992677115,3.85665986896475,3.85665986896475,2.01658797025152,2.01658797025152,3.00000000000004,3.00000000000004,2.00000000000011,2.00000000000011,0.786348381354347,0.240207011524906,0.240207011524906,1.51678291494371,1.51678291494371,0.217843137761441,0.217843137761441,0.217843137761441,5.49326056783474,5.49326056783474,5.99999999999996,5.99999999999996,5.0043506224354,5.0043506224354,6.99999999999996,6.99999999999996,6.72216649487634,6.72216649487634,6.99999999999996,6.99999999999996,7.99999999999992,7.99999999999992,7.99999999999992,7.12549737539998,7.12549737539998,4.00000000000001,4.00000000000001,6.39510169323497,6.39510169323497,7.30825299286488,7.30825299286488,7.30825299286488,7,7,7.35668559562392,7.35668559562392,9.99999999999999,9.99999999999999,9.99999999999999,11.7689832650196,11.7689832650196,10.4705752499648,10.4705752499648,10.4705752499648,10,10,10,10,7.18945067193007,7.18945067193007,7.18945067193007,null,null,null,null,null,9,9,9,6.50000000000002,6.50000000000002,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,0,0,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.898135218900704,2,2,3,3,3.29496992677115,3.29496992677115,3.85665986896475,3.85665986896475,3.01658797025148,3.01658797025148,4,4,4.83802972671544,4.83802972671544,3.21365161864575,2,2,1,1,0,0,0,5.49326056783474,5.49326056783474,5.09483691237124,5.09483691237124,5,5,6,6,6,6,6,6,6,6,6,5.12549737540006,5.12549737540006,4.2452488970094,4.2452488970094,7,7,7,7,7,6.98764824541445,6.98764824541445,8,8,9.72449609558102,9.72449609558102,9.72449609558102,11.8844916325098,11.8844916325098,11,11,11,10,10,11,11,10,10,10,6,6,null,null,null,9,9,9,6.9617429080004,6.9617429080004,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,0,0,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.898135218900704,2,2,3,3,3.29496992677115,3.29496992677115,3.85665986896475,3.85665986896475,3.01658797025148,3.01658797025148,4.91479486498983,4.91479486498983,5,5,2.4273032372915,4.27937896542549,4.27937896542549,0.724825627584399,0.724825627584399,0,0,0,4.49326056783474,4.49326056783474,4.18967382474247,4.18967382474247,4,4,4.87140263255679,4.87140263255679,5.27783350512363,5.27783350512363,5.45197093658714,5.45197093658714,5,5,5,5.12549737540006,5.12549737540006,2.73574669102821,2.73574669102821,7.39510169323495,7.39510169323495,7.6917470071351,7.6917470071351,7.6917470071351,6.01235175458555,6.01235175458555,7,7,9.72449609558102,9.72449609558102,9.72449609558102,12,12,10.4705752499647,10.4705752499647,10.4705752499647,9,9,11,11,11,11,11,8,8,null,null,null,null,null,null,8.92348581600081,8.92348581600081,6.37811584266707,6.37811584266707,6.37811584266707,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.79627043780141,2,2,2.47138399856123,2.47138399856123,3.29496992677115,3.29496992677115,3.85665986896475,3.85665986896475,3.01658797025148,3.01658797025148,4.91479486498983,4.91479486498983,5,5,1.21365161864575,4.03917195390066,4.03917195390066,0.966434170112532,0.966434170112532,0,0,0,3.66217371188982,3.66217371188982,3,3,2,2,2,2,2.72216649487637,2.72216649487637,3.80788374634855,3.80788374634855,4,4,4,4.87450262459994,4.87450262459994,5.3678733455141,5.3678733455141,8.39510169323495,8.39510169323495,8.6917470071351,8.6917470071351,8.6917470071351,7.98764824541445,7.98764824541445,6.35668559562389,6.35668559562389,9.72449609558102,9.72449609558102,9.72449609558102,11.1155083674902,11.1155083674902,10.9411504999295,10.9411504999295,10.9411504999295,9.03407547620636,9.03407547620636,10.5753363314967,10.5753363314967,11,11,11,10,10,6,6,6,null,null,null,8.9617429080004,8.9617429080004,8,8,8,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.79627043780141,2,2,2.47138399856123,2.47138399856123,3.29496992677115,3.29496992677115,3,3,3.03317594050296,3.03317594050296,5.91479486498983,5.91479486498983,5.16197027328456,5.16197027328456,0,1,1,0.241608542528133,0.241608542528133,0,0,0,0,0,0.905163087628764,0.905163087628764,1,1,3,3,1.44433298975274,1.44433298975274,0.903941873174274,0.903941873174274,4.95270821060612,4.95270821060612,4.95270821060612,7.74900524919987,7.74900524919987,7.2452488970094,7.2452488970094,9.2097966135301,9.2097966135301,8.3082529928649,8.3082529928649,8.3082529928649,8.98764824541445,8.98764824541445,7.64331440437611,7.64331440437611,8.44899219116203,8.44899219116203,8.44899219116203,10.8844916325098,10.8844916325098,10.4705752499647,10.4705752499647,10.4705752499647,9.03407547620636,9.03407547620636,9,9,10.905274664035,10.905274664035,10.905274664035,10.5926336623128,10.5926336623128,8,8,8,null,null,null,null,null,10,10,10,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.79627043780141,2,2,2.47138399856123,2.47138399856123,3,3,3,3,3.03317594050296,3.03317594050296,5.91479486498983,5.91479486498983,5.16197027328456,5.16197027328456,0,0,0,0.241608542528133,0.241608542528133,0,0,0,0,0,0,0,0,0,3.12859736744321,3.12859736744321,0.72216649487637,0.72216649487637,2.90394187317427,2.90394187317427,6.95270821060612,6.95270821060612,6.95270821060612,8,8,8.2452488970094,8.2452488970094,9.2097966135301,9.2097966135301,8,8,8,8.01235175458555,8.01235175458555,7.64331440437611,7.64331440437611,8.44899219116203,8.44899219116203,8.44899219116203,9.8844916325098,9.8844916325098,10,10,10,8.03407547620636,8.03407547620636,8.42466366850326,8.42466366850326,9,9,9,10.5926336623128,10.5926336623128,9,9,9,null,null,null,null,null,null,null,null,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,0,0,null,null,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.79627043780141,2,2,3,3,3,3,1.14334013103525,1.14334013103525,3.03317594050296,3.03317594050296,5,5,5.16197027328456,5.16197027328456,0.21365161864575,0.240207011524835,0.240207011524835,0,0,0,0,0,0,0,0,0,0.00435062243540287,0.00435062243540287,5,5,0,0,4.90394187317427,4.90394187317427,7.30180547373741,7.30180547373741,7.30180547373741,8.87450262459994,8.87450262459994,9,9,9,9,8,8,8,8,8,8,8,8,8,8,10,10,10,10,10,8.03407547620636,8.03407547620636,9,9,9,9,9,9.59263366231278,9.59263366231278,9.06947623966943,9.06947623966943,9.06947623966943,null,null,null,null,null,null,null,null,8.77532054469875,8.77532054469875,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,0,0,null,null,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.898135218900704,2,2,3,3,3,3,0.286680262070502,0.286680262070502,3.03317594050296,3.03317594050296,5,5,5.16197027328456,5.16197027328456,1.4273032372915,1.48041402304967,1.48041402304967,0.483217085056266,0.483217085056266,0,0,0,0,0,0,0,2,2,5.12859736744321,5.12859736744321,1,1,6.35591280976141,6.35591280976141,7.65090273686871,7.65090273686871,7.65090273686871,9.87450262459994,9.87450262459994,8.8773755514953,8.8773755514953,9,9,7.3082529928649,7.3082529928649,7.3082529928649,7.01235175458555,7.01235175458555,8.35668559562389,8.35668559562389,7,7,7,10.8844916325098,10.8844916325098,10,10,10,9.03407547620636,9.03407547620636,9,9,8.09472533596498,8.09472533596498,8.09472533596498,9.40736633768722,9.40736633768722,9,9,9,7,7,7,null,null,null,null,null,9,9,6.30778082368003,6.30778082368003,6.30778082368003,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,0,0,null,null,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.898135218900704,2,2,2.47138399856123,2.47138399856123,3,3,0.286680262070502,0.286680262070502,3.03317594050296,3.03317594050296,3.17041027002034,3.17041027002034,5,5,1.4273032372915,3.24020701152484,3.24020701152484,0.966434170112532,0.966434170112532,0,0,0,0,0,0,0,2.0043506224354,2.0043506224354,5.12859736744321,5.12859736744321,2,2,6.90394187317427,6.90394187317427,7,7,7,9,9,8.1226244485047,8.1226244485047,9.60489830676505,9.60489830676505,9,9,9,8,8,8.35668559562389,8.35668559562389,6.27550390441898,6.27550390441898,6.27550390441898,10,10,10,10,10,10,10,9,9,8.90527466403502,8.90527466403502,8.90527466403502,9,9,9,9,9,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.898135218900704,1.67247761313223,1.67247761313223,2.47138399856122,2.47138399856122,2.99999999999999,2.99999999999999,1.14334013103525,1.14334013103525,3.01658797025144,3.01658797025144,3.08520513501017,3.08520513501017,5,5,1.42730323729157,4.75979298847517,4.75979298847517,1.96643417011263,1.96643417011263,0.782156862238639,0.782156862238639,0.782156862238639,6.78113042277474e-15,6.78113042277474e-15,4.01456645704446e-14,4.01456645704446e-14,0.00870124487080556,0.00870124487080556,4.12859736744321,4.12859736744321,5.00000000000001,5.00000000000001,6.35591280976141,6.35591280976141,7.65090273686872,7.65090273686872,7.65090273686872,8.12549737540002,8.12549737540002,7.24524889700943,7.24524889700943,9.99999999999996,9.99999999999996,7.99999999999997,7.99999999999997,7.99999999999997,7,7,8,8,6.27550390441898,6.27550390441898,6.27550390441898,10.1155083674902,10.1155083674902,10,10,10,10,10,8.42466366850324,8.42466366850324,8.99999999999996,8.99999999999996,8.99999999999996,8.40736633768719,8.40736633768719,9,9,9,7.52569180617495,7.52569180617495,7.52569180617495,6.00000000000008,6.00000000000008,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.898135218900668,1.67247761313223,1.67247761313223,2,2,2.70503007322882,2.70503007322882,1.14334013103525,1.14334013103525,2.03317594050296,2.03317594050296,3.08520513501021,3.08520513501021,5.00000000000003,5.00000000000003,3.21365161864585,5.00000000000001,5.00000000000001,4.48321708505626,4.48321708505626,3.00000000000011,3.00000000000011,3.00000000000011,0.168913144055282,0.168913144055282,1.00000000000012,1.00000000000012,0.00435062243548281,0.00435062243548281,4,4,5.27783350512363,5.27783350512363,6.45197093658712,6.45197093658712,7.95270821060607,7.95270821060607,7.95270821060607,7.12549737540002,7.12549737540002,7.99999999999992,7.99999999999992,8.99999999999995,8.99999999999995,7.30825299286496,7.30825299286496,7.30825299286496,7.00000000000004,7.00000000000004,7.99999999999996,7.99999999999996,6.27550390441901,6.27550390441901,6.27550390441901,10.1155083674901,10.1155083674901,10.5294247500353,10.5294247500353,10.5294247500353,9.96592452379364,9.96592452379364,7.99999999999998,7.99999999999998,7.99999999999996,7.99999999999996,7.99999999999996,7.59263366231278,7.59263366231278,8.93052376033049,8.93052376033049,8.93052376033049,8.05138361234984,8.05138361234984,8.05138361234984,8.00000000000004,8.00000000000004,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.67247761313223,1.67247761313223,2,2,2,2,1.14334013103525,1.14334013103525,2.03317594050296,2.03317594050296,4,4,5.83802972671544,5.83802972671544,5.78634838135422,5.24020701152487,5.24020701152487,4.24160854252808,4.24160854252808,5.78215686223853,5.78215686223853,5.78215686223853,5.00000000000004,5.00000000000004,4,4,1.99564937756464,1.99564937756464,4,4,5.27783350512365,5.27783350512365,6,6,6.65090273686867,6.65090273686867,6.65090273686867,6.12549737540006,6.12549737540006,5.99999999999996,5.99999999999996,7.79020338646987,7.79020338646987,9,9,9,7.98764824541441,7.98764824541441,7.00000000000001,7.00000000000001,7.00000000000004,7.00000000000004,7.00000000000004,8.2310167349804,8.2310167349804,10.4705752499648,10.4705752499648,10.4705752499648,10,10,7.57533633149679,7.57533633149679,7,7,7,7.4073663376872,7.4073663376872,7,7,7,7.52569180617491,7.52569180617491,7.52569180617491,8.92348581600081,8.92348581600081,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,0,0,0,0,null,0,0,0,0,0,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.67247761313222,1.67247761313222,2,2,2,2,1.14334013103525,1.14334013103525,2.03317594050296,2.03317594050296,4,4,5.83802972671544,5.83802972671544,5,6,6,2.96643417011253,2.96643417011253,5.34647058671565,5.34647058671565,5.34647058671565,6,6,4,4,2.9956493775646,2.9956493775646,4,4,5.72216649487637,5.72216649487637,6,6,5.65090273686871,5.65090273686871,5.65090273686871,6,6,4.8773755514953,4.8773755514953,7.18530507970484,7.18530507970484,9,9,9,7,7,7.35668559562389,7.35668559562389,8,8,8,8.2310167349804,8.2310167349804,11,11,11,10.0340754762064,10.0340754762064,8.57533633149675,8.57533633149675,7,7,7,7,7,7,7,7,7,7,7,8.9617429080004,8.9617429080004,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.00000000000003,1.00000000000003,1.47138399856126,1.47138399856126,1.70503007322886,1.70503007322886,1.99999999999997,1.99999999999997,2.03317594050296,2.03317594050296,4,4,5.99999999999999,5.99999999999999,5.78634838135422,6,6,3.72482562758437,3.72482562758437,2.14637614810035e-13,2.14637614810035e-13,2.14637614810035e-13,5.83108685594492,5.83108685594492,2.90516308762881,2.90516308762881,2.00000000000004,2.00000000000004,4,4,5.00000000000003,5.00000000000003,4.0960581268258,4.0960581268258,2.65090273686883,2.65090273686883,2.65090273686883,5.74900524919988,5.74900524919988,0.122624448504892,0.122624448504892,7.18530507970484,7.18530507970484,9,9,9,7.98764824541441,7.98764824541441,7.99999999999998,7.99999999999998,8,8,8,8.2310167349804,8.2310167349804,11,11,11,11,11,9.99999999999994,9.99999999999994,7.09472533596497,7.09472533596497,7.09472533596497,6.5926336623128,6.5926336623128,6.06947623966947,6.06947623966947,6.06947623966947,7.52569180617491,7.52569180617491,7.52569180617491,8.00000000000004,8.00000000000004,7.37811584266701,7.37811584266701,7.37811584266701,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.898135218900704,1,1,1,1,1,1,2,2,2.03317594050296,2.03317594050296,4.91479486498983,4.91479486498983,6,6,5.21365161864575,6,6,5,5,0.21784313776145,0.21784313776145,0.21784313776145,3.66217371188982,3.66217371188982,1.90516308762876,1.90516308762876,2,2,3,3,4,4,2.64408719023859,2.64408719023859,1.65090273686871,1.65090273686871,1.65090273686871,3,3,0.122624448504701,0.122624448504701,6.7902033864699,6.7902033864699,8,8,8,8.01235175458555,8.01235175458555,8,8,8,8,8,9.2310167349804,9.2310167349804,11.5294247500353,11.5294247500353,11.5294247500353,12,12,10,10,8,8,8,7,7,6.93052376033057,6.93052376033057,6.93052376033057,7,7,7,8,8,8,8,8,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.898135218900704,1,1,1,1,1.29496992677115,1.29496992677115,2,2,2.03317594050296,2.03317594050296,4.91479486498983,4.91479486498983,6,6,5.21365161864575,6,6,5.24160854252813,5.24160854252813,0.653529413284349,0.653529413284349,0.653529413284349,0,0,0.905163087628763,0.905163087628763,2,2,2.87140263255679,2.87140263255679,1.27783350512363,1.27783350512363,1.64408719023859,1.64408719023859,1.65090273686871,1.65090273686871,1.65090273686871,1,1,0.122624448504701,0.122624448504701,5.7902033864699,5.7902033864699,8,8,8,8.01235175458555,8.01235175458555,9.64331440437611,9.64331440437611,9,9,9,11,11,11,11,11,11.9659245237936,11.9659245237936,11.5753363314967,11.5753363314967,8.09472533596498,8.09472533596498,8.09472533596498,7.59263366231278,7.59263366231278,7,7,7,6,6,6,7.0382570919996,7.0382570919996,8.37811584266707,8.37811584266707,8.37811584266707,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3.60562352368905e-14,1,1,1,1,1.99999999999997,1.99999999999997,1.85665986896475,1.85665986896475,2.01658797025148,2.01658797025148,4.82958972997966,4.82958972997966,6,6,5.99999999999997,6,6,5.24160854252813,5.24160854252813,4.99999999999983,4.99999999999983,4.99999999999983,0.99999999999996,0.99999999999996,2.90516308762868,2.90516308762868,2,2,2.74280526511358,2.74280526511358,5.12994752735687e-14,5.12994752735687e-14,1.00000000000003,1.00000000000003,0.349097263131345,0.349097263131345,0.349097263131345,4.01456645704446e-14,4.01456645704446e-14,4.92283997780549e-15,4.92283997780549e-15,2.58040677293992,2.58040677293992,6.30825299286496,6.30825299286496,6.30825299286496,8.01235175458555,8.01235175458555,9.99999999999999,9.99999999999999,9.99999999999996,9.99999999999996,9.99999999999996,11.1155083674902,11.1155083674902,11,11,11,11,11,11,11,9.09472533596494,9.09472533596494,9.09472533596494,8.40736633768719,8.40736633768719,7.99999999999996,7.99999999999996,7.99999999999996,6.99999999999996,6.99999999999996,6.99999999999996,6.03825709199964,6.03825709199964,8.62188415733292,8.62188415733292,8.62188415733292,7.55064108939748,7.55064108939748,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.999999999999987,0.999999999999987,1,1,1.99999999999996,1.99999999999996,1.85665986896475,1.85665986896475,2.01658797025148,2.01658797025148,3.91479486498983,3.91479486498983,5.83802972671541,5.83802972671541,5.99999999999996,5.99999999999997,5.99999999999997,5.24160854252813,5.24160854252813,5.00000000000003,5.00000000000003,5.00000000000003,5.00000000000004,5.00000000000004,3.09483691237124,3.09483691237124,1.99564937756452,1.99564937756452,1.87140263255679,1.87140263255679,0,0,0.451970936587119,0.451970936587119,0,0,0,3.51074890331639e-14,3.51074890331639e-14,2.00000000000017,2.00000000000017,2.58040677293996,2.58040677293996,6.30825299286494,6.30825299286494,6.30825299286494,8.98764824541441,8.98764824541441,8.35668559562385,8.35668559562385,9.99999999999996,9.99999999999996,9.99999999999996,10.9999999999999,10.9999999999999,11,11,11,11,11,11.5753363314967,11.5753363314967,9.09472533596509,9.09472533596509,9.09472533596509,9.40736633768728,9.40736633768728,8.06947623966951,8.06947623966951,8.06947623966951,7.52569180617497,7.52569180617497,7.52569180617497,7.00000000000004,7.00000000000004,7.62188415733289,7.62188415733289,7.62188415733289,8,8,6.00000000000005,6.00000000000005,6.00000000000005,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.672477613132225,0.672477613132225,1,1,1,1,2,2,2.01658797025148,2.01658797025148,3.91479486498983,3.91479486498983,5,5,5,5.24020701152484,5.24020701152484,5.24160854252813,5.24160854252813,5.78215686223855,5.78215686223855,5.78215686223855,6,6,3.09483691237124,3.09483691237124,0,0,1.87140263255679,1.87140263255679,0,0,0,0,0,0,0,0.874502624599937,0.874502624599937,6.1226244485047,6.1226244485047,6.60489830676505,6.60489830676505,7.38349401427021,7.38349401427021,7.38349401427021,8,8,7.35668559562389,7.35668559562389,9,9,9,9.2310167349804,9.2310167349804,10,10,10,11,11,11.5753363314967,11.5753363314967,11.905274664035,11.905274664035,11.905274664035,11,11,10,10,10,8.52569180617493,8.52569180617493,8.52569180617493,7.9617429080004,7.9617429080004,6.62188415733293,6.62188415733293,6.62188415733293,8,8,7.15389041184002,7.15389041184002,7.15389041184002,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.672477613132225,0.672477613132225,1,1,1,1,2,2,2.01658797025148,2.01658797025148,3.91479486498983,3.91479486498983,4.99999999999996,4.99999999999996,5.78634838135425,6,6,5.00000000000004,5.00000000000004,5.78215686223855,5.78215686223855,5.78215686223855,5.16891314405509,5.16891314405509,4,4,0.995649377564677,0.995649377564677,2,2,0.72216649487641,0.72216649487641,0,0,0,0,0,1.74900524919991,1.74900524919991,4.36787334551406,4.36787334551406,6.60489830676501,6.60489830676501,6.30825299286487,6.30825299286487,6.30825299286487,7,7,8,8,8.99999999999997,8.99999999999997,8.99999999999997,8.23101673498039,8.23101673498039,9.99999999999998,9.99999999999998,9.99999999999998,10.9659245237936,10.9659245237936,11,11,12,12,12,11.5926336623128,11.5926336623128,11.0694762396694,11.0694762396694,11.0694762396694,9.00000000000002,9.00000000000002,9.00000000000002,8.92348581600085,8.92348581600085,7.37811584266707,7.37811584266707,7.37811584266707,7.99999999999999,7.99999999999999,7.15389041184004,7.15389041184004,7.15389041184004,6.00000000000004,6.00000000000004,6.00000000000004,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,0,0,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.672477613132225,0.672477613132225,1,1,1.00000000000004,1.00000000000004,2,2,2.01658797025148,2.01658797025148,3.91479486498983,3.91479486498983,4,4,5.78634838135422,5.99999999999996,5.99999999999996,5.99999999999997,5.99999999999997,5.78215686223852,5.78215686223852,5.78215686223852,5.16891314405508,5.16891314405508,4.09483691237131,4.09483691237131,2.99129875512928,2.99129875512928,2.00000000000012,2.00000000000012,1.7221664948765,1.7221664948765,2.00728322852231e-13,2.00728322852231e-13,1.62481218595728e-13,1.62481218595728e-13,1.62481218595728e-13,2.62350787379989,2.62350787379989,3.36787334551421,3.36787334551421,5.604898306765,5.604898306765,5.69174700713513,5.69174700713513,5.69174700713513,7.00000000000004,7.00000000000004,8,8,8.27550390441901,8.27550390441901,8.27550390441901,8.11550836749027,8.11550836749027,9.47057524996473,9.47057524996473,9.47057524996473,11,11,11.5753363314968,11.5753363314968,11,11,11,11,11,11,11,11,9.52569180617503,9.52569180617503,9.52569180617503,9.9617429080004,9.9617429080004,7.37811584266715,7.37811584266715,7.37811584266715,7.77532054469876,7.77532054469876,7.84610958815998,7.84610958815998,7.84610958815998,7.00000000000004,7.00000000000004,7.00000000000004,7.49999999999999,7.49999999999999,6.00000000000008,6.00000000000008,6.00000000000008,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,0,0,null,null,null,null,null,null,null,null,null,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.672477613132198,0.672477613132198,1,1,1.99999999999997,1.99999999999997,2,2,2.01658797025148,2.01658797025148,3.91479486498983,3.91479486498983,4,4,5,5,5,5.24160854252812,5.24160854252812,4.99999999999997,4.99999999999997,4.99999999999997,4.99999999999999,4.99999999999999,6,6,5.0043506224354,5.0043506224354,4.8714026325568,4.8714026325568,5.00000000000004,5.00000000000004,5.00000000000004,5.00000000000004,4.04729178939394,4.04729178939394,4.04729178939394,4.62350787379986,4.62350787379986,5.87737555149534,5.87737555149534,4.39510169323501,4.39510169323501,6.38349401427023,6.38349401427023,6.38349401427023,7.99999999999996,7.99999999999996,8.00000000000004,8.00000000000004,9.00000000000001,9.00000000000001,9.00000000000001,9.88449163250984,9.88449163250984,9.52942475003527,9.52942475003527,9.52942475003527,10,10,12,12,11.9052746640351,11.9052746640351,11.9052746640351,12,12,12,12,12,12,12,12,10.0000000000001,10.0000000000001,9.37811584266711,9.37811584266711,9.37811584266711,8.00000000000003,8.00000000000003,7.84610958815999,7.84610958815999,7.84610958815999,8.00000000000004,8.00000000000004,8.00000000000004,7.14262492236845,7.14262492236845,8,8,8,6.00000000000004,6.00000000000004,6.00000000000004,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1.29496992677115,1.29496992677115,2,2,2.01658797025148,2.01658797025148,3.91479486498983,3.91479486498983,4,4,5,5,5,5,5,4.21784313776145,4.21784313776145,4.21784313776145,4.83108685594491,4.83108685594491,6,6,5.0043506224354,5.0043506224354,5.12859736744321,5.12859736744321,6,6,6,6,5.69819452626258,5.69819452626258,5.69819452626258,5.87450262459994,5.87450262459994,6.8773755514953,6.8773755514953,6,6,7,7,7,7.01235175458555,7.01235175458555,9,9,9.27550390441898,9.27550390441898,9.27550390441898,10.8844916325098,10.8844916325098,9.52942475003527,9.52942475003527,9.52942475003527,10.9659245237936,10.9659245237936,12,12,13,13,13,11.5926336623128,11.5926336623128,12,12,12,11.4743081938251,11.4743081938251,11.4743081938251,12,12,10.3781158426671,10.3781158426671,10.3781158426671,8.77532054469875,8.77532054469875,8,8,8,9,9,9,7.14262492236845,7.14262492236845,8,8,8,6.98659159937429,6.98659159937429,6.98659159937429,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.471383998561235,0.471383998561235,1.29496992677115,1.29496992677115,2,2,2.01658797025148,2.01658797025148,3.91479486498983,3.91479486498983,4,4,4,4,4,4.75839145747187,4.75839145747187,4.21784313776145,4.21784313776145,4.21784313776145,2.83108685594491,2.83108685594491,6,6,6,6,6,6,6,6,7,7,6,6,6,7,7,7.8773755514953,7.8773755514953,6.60489830676505,6.60489830676505,7,7,7,8,8,9,9,9.72449609558102,9.72449609558102,9.72449609558102,10,10,10,10,10,10,10,10.5753363314967,10.5753363314967,12.81054932807,12.81054932807,12.81054932807,11.5926336623128,11.5926336623128,12,12,12,12.4743081938251,12.4743081938251,12.4743081938251,12,12,11.3781158426671,11.3781158426671,11.3781158426671,10,10,9,9,9,8.48561792971136,8.48561792971136,8.48561792971136,9.85737507763155,9.85737507763155,9,9,9,7.49329579968714,7.49329579968714,7.49329579968714,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.471383998561235,0.471383998561235,1,1,2,2,2.01658797025152,2.01658797025152,3,3,4,4,4,4.75979298847513,4.75979298847513,4.75839145747188,4.75839145747188,5.00000000000001,5.00000000000001,5.00000000000001,1.00000000000005,1.00000000000005,5.99999999999999,5.99999999999999,6,6,6,6,6.00000000000004,6.00000000000004,7,7,6.34909726313132,6.34909726313132,6.34909726313132,6.00000000000007,6.00000000000007,8,8,7,7,7.38349401427019,7.38349401427019,7.38349401427019,8,8,8,8,9,9,9,9,9,10.5294247500352,10.5294247500352,10.5294247500352,11,11,9.99999999999998,9.99999999999998,11.905274664035,11.905274664035,11.905274664035,11,11,12,12,12,12.5256918061749,12.5256918061749,12.5256918061749,13,13,12,12,12,10.7753205446988,10.7753205446988,9.00000000000004,9.00000000000004,9.00000000000004,8.5143820702887,8.5143820702887,8.5143820702887,9.85737507763156,9.85737507763156,9.81652843756884,9.81652843756884,9.81652843756884,8.49329579968713,8.49329579968713,8.49329579968713,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.471383998561235,0.471383998561235,1,1,2,2,2.99999999999996,2.99999999999996,3,3,4,4,4,4.00000000000003,4.00000000000003,4.99999999999999,4.99999999999999,5.21784313776144,5.21784313776144,5.21784313776144,2.16891314405504,2.16891314405504,5.90516308762877,5.90516308762877,6,6,6,6,6.99999999999996,6.99999999999996,7,7,6.99999999999997,6.99999999999997,6.99999999999997,7.87450262459986,7.87450262459986,8,8,7,7,7.00000000000002,7.00000000000002,7.00000000000002,8,8,8,8,9,9,9,9,9,9.52942475003531,9.52942475003531,9.52942475003531,11.9659245237936,11.9659245237936,9.57533633149676,9.57533633149676,11,11,11,12,12,11.9305237603306,11.9305237603306,11.9305237603306,12,12,12,13,13,12.3781158426671,12.3781158426671,12.3781158426671,10.7753205446988,10.7753205446988,9.99999999999996,9.99999999999996,9.99999999999996,9.99999999999994,9.99999999999994,9.99999999999994,10.1426249223684,10.1426249223684,9.99999999999999,9.99999999999999,9.99999999999999,8.01340840062573,8.01340840062573,8.01340840062573,8,8,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2.01658797025148,2.01658797025148,3,3,4,4,4,4.00000000000003,4.00000000000003,5,5,6,6,6,5,5,5.90516308762877,5.90516308762877,6,6,6.87140263255676,6.87140263255676,6.99999999999997,6.99999999999997,7,7,6.34909726313132,6.34909726313132,6.34909726313132,7,7,8,8,7.39510169323496,7.39510169323496,7.30825299286488,7.30825299286488,7.30825299286488,8,8,7.64331440437611,7.64331440437611,8.72449609558099,8.72449609558099,8.72449609558099,8.99999999999996,8.99999999999996,9.52942475003527,9.52942475003527,9.52942475003527,11,11,9.99999999999996,9.99999999999996,11,11,11,11.5926336623128,11.5926336623128,11.9305237603305,11.9305237603305,11.9305237603305,12,12,12,13,13,13,13,13,11.7753205446987,11.7753205446987,10.15389041184,10.15389041184,10.15389041184,10.5143820702886,10.5143820702886,10.5143820702886,11,11,9.36694312486232,9.36694312486232,9.36694312486232,8.50670420031293,8.50670420031293,8.50670420031293,8.99999999999996,8.99999999999996,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1.99999999999997,1.99999999999997,2.01658797025148,2.01658797025148,3,3,4,4,4,4.75979298847516,4.75979298847516,5,5,5.99999999999999,5.99999999999999,5.99999999999999,5,5,6,6,5.99999999999996,5.99999999999996,6.12859736744321,6.12859736744321,6.27783350512363,6.27783350512363,7,7,7,7,7,7,7,8,8,7.60489830676503,7.60489830676503,7.00000000000003,7.00000000000003,7.00000000000003,8,8,7.64331440437609,7.64331440437609,7.99999999999999,7.99999999999999,7.99999999999999,8.11550836749019,8.11550836749019,9.52942475003523,9.52942475003523,9.52942475003523,9.99999999999996,9.99999999999996,9,9,10.905274664035,10.905274664035,10.905274664035,11.1852673246255,11.1852673246255,11,11,11,11.474308193825,11.474308193825,11.474308193825,12.0382570919996,12.0382570919996,12,12,12,11,11,10.1538904118401,10.1538904118401,10.1538904118401,10.5143820702886,10.5143820702886,10.5143820702886,11,11,9.18347156243119,9.18347156243119,9.18347156243119,10.5067042003128,10.5067042003128,10.5067042003128,7.99999999999996,7.99999999999996,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,0,0,0,null,null,null,null,null,null,0,0,null,null,null,null,null,0,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1.14334013103525,1.14334013103525,2.01658797025148,2.01658797025148,3,3,4,4,4,4.75979298847516,4.75979298847516,5,5,5.78215686223855,5.78215686223855,5.78215686223855,5,5,6,6,5.0043506224354,5.0043506224354,6.12859736744321,6.12859736744321,6.27783350512363,6.27783350512363,7,7,7,7,7,7,7,7.8773755514953,7.8773755514953,7,7,7.6917470071351,7.6917470071351,7.6917470071351,8,8,7,7,7.72449609558102,7.72449609558102,7.72449609558102,8,8,8.52942475003527,8.52942475003527,8.52942475003527,9,9,9,9,10,10,10,9.59263366231278,9.59263366231278,10,10,10,10.4743081938251,10.4743081938251,10.4743081938251,12,12,12,12,12,11,11,11,11,11,10.4856179297114,10.4856179297114,10.4856179297114,11.8573750776316,11.8573750776316,10,10,10,10.0134084006257,10.0134084006257,10.0134084006257,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,0,0,0,null,null,null,null,null,null,0,0,null,null,null,null,null,null,0,0,0,null,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1.14334013103525,1.14334013103525,2.01658797025148,2.01658797025148,3,3,4,4,4,4.75979298847516,4.75979298847516,5,5,5.78215686223855,5.78215686223855,5.78215686223855,5.83108685594491,5.83108685594491,5.09483691237124,5.09483691237124,5,5,6,6,6,6,6.54802906341286,6.54802906341286,7,7,7,7,7,7.8773755514953,7.8773755514953,7,7,7.6917470071351,7.6917470071351,7.6917470071351,8,8,7,7,7.72449609558102,7.72449609558102,7.72449609558102,8,8,8.52942475003527,8.52942475003527,8.52942475003527,8.03407547620636,8.03407547620636,9,9,10,10,10,8.59263366231278,8.59263366231278,8.06947623966943,8.06947623966943,8.06947623966943,10.4743081938251,10.4743081938251,10.4743081938251,11,11,12,12,12,11.2246794553012,11.2246794553012,11,11,11,11,11,11,11,11,10.8165284375688,10.8165284375688,10.8165284375688,8.01340840062571,8.01340840062571,8.01340840062571,7.78749372169478,7.78749372169478,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,0,null,null,null,null,null,null,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2.01658797025148,2.01658797025148,3,3,3.83802972671544,3.83802972671544,4,5,5,5,5,5.21784313776145,5.21784313776145,5.21784313776145,6,6,5.09483691237124,5.09483691237124,5,5,6,6,6,6,6.54802906341286,6.54802906341286,6.65090273686871,6.65090273686871,6.65090273686871,7,7,7.1226244485047,7.1226244485047,7,7,7,7,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8.42466366850326,8.42466366850326,9,9,9,8,8,8,8,8,9,9,9,9.9617429080004,9.9617429080004,10.6218841573329,10.6218841573329,10.6218841573329,10.7753205446988,10.7753205446988,10.15389041184,10.15389041184,10.15389041184,10,10,10,11.1426249223684,11.1426249223684,10.1834715624312,10.1834715624312,10.1834715624312,7.50670420031285,7.50670420031285,7.50670420031285,9.36248116508433,9.36248116508433,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,0,null,null,null,null,null,null,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0.143340131035251,0.143340131035251,2.01658797025148,2.01658797025148,3,3,3.83802972671544,3.83802972671544,4,5,5,5,5,5.21784313776145,5.21784313776145,5.21784313776145,6,6,5.09483691237124,5.09483691237124,5,5,6,6,6,6,6.54802906341286,6.54802906341286,6.65090273686871,6.65090273686871,6.65090273686871,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,8,8.09472533596498,8.09472533596498,8.09472533596498,8.40736633768722,8.40736633768722,8,8,8,9,9,9,8.0382570919996,8.0382570919996,9.62188415733293,9.62188415733293,9.62188415733293,10,10,9.15389041184002,9.15389041184002,9.15389041184002,10,10,10,10.1426249223684,10.1426249223684,9.36694312486232,9.36694312486232,9.36694312486232,7.50670420031286,7.50670420031286,7.50670420031286,9.57498744338955,9.57498744338955,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1.03317594050296,1.03317594050296,3,3,3.83802972671544,3.83802972671544,4.78634838135425,5,5,5.75839145747187,5.75839145747187,5.21784313776145,5.21784313776145,5.21784313776145,6,6,5.09483691237124,5.09483691237124,6,6,6,6,6,6,6,6,6.65090273686871,6.65090273686871,6.65090273686871,7,7,7,7,7,7,7,7,7,6.01235175458555,6.01235175458555,7,7,7,7,7,7.1155083674902,7.1155083674902,7.47057524996473,7.47057524996473,7.47057524996473,8,8,7.42466366850326,7.42466366850326,8,8,8,8,8,8,8,8,9,9,9,8,8,8.62188415733293,8.62188415733293,8.62188415733293,10,10,9.84610958815998,9.84610958815998,9.84610958815998,9.51438207028864,9.51438207028864,9.51438207028864,10.1426249223684,10.1426249223684,10.1834715624312,10.1834715624312,10.1834715624312,8.50670420031286,8.50670420031286,8.50670420031286,10.3624811650843,10.3624811650843,6.06673236413109,6.06673236413109,6.06673236413109,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,0,0,null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.999999999999972,0.999999999999972,0.143340131035245,0.143340131035245,1.03317594050296,1.03317594050296,3,3,4,4,4.78634838135422,5,5,5.75839145747184,5.75839145747184,5.78215686223855,5.78215686223855,5.78215686223855,5.83108685594491,5.83108685594491,5.99999999999999,5.99999999999999,6,6,5.12859736744324,5.12859736744324,5.99999999999997,5.99999999999997,6,6,7,7,7,6.12549737540006,6.12549737540006,6.8773755514953,6.8773755514953,7,7,6.99999999999997,6.99999999999997,6.99999999999997,6,6,7,7,7,7,7,7.11550836749023,7.11550836749023,7,7,7,7.03407547620636,7.03407547620636,7.00000000000002,7.00000000000002,7,7,7,7.99999999999998,7.99999999999998,8,8,8,7.99999999999996,7.99999999999996,7.99999999999996,7.99999999999996,7.99999999999996,7.62188415733293,7.62188415733293,7.62188415733293,8.77532054469875,8.77532054469875,8,8,8,8,8,8,10,10,9.18347156243115,9.18347156243115,9.18347156243115,10.0268168012514,10.0268168012514,10.0268168012514,13.1499748867791,13.1499748867791,7.00000000000001,7.00000000000001,7.00000000000001,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,0,0,null,null,0,null,null,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.29496992677115,0.29496992677115,0,0,1.03317594050296,1.03317594050296,3,3,4,4,4,5,5,5,5,5.78215686223855,5.78215686223855,5.78215686223855,5.83108685594491,5.83108685594491,5.90516308762876,5.90516308762876,6,6,6,6,5.27783350512363,5.27783350512363,6,6,7,7,7,6,6,6.8773755514953,6.8773755514953,7,7,6.3082529928649,6.3082529928649,6.3082529928649,6.01235175458555,6.01235175458555,7,7,7,7,7,8,8,7,7,7,7,7,7.57533633149674,7.57533633149674,6.90527466403502,6.90527466403502,6.90527466403502,7.59263366231278,7.59263366231278,7.93052376033057,7.93052376033057,7.93052376033057,7,7,7,6.9617429080004,6.9617429080004,7.62188415733293,7.62188415733293,7.62188415733293,8.77532054469875,8.77532054469875,8,8,8,8,8,8,10,10,9,9,9,9.52011260093857,9.52011260093857,9.52011260093857,13.5749874433895,13.5749874433895,7.13346472826217,7.13346472826217,7.13346472826217,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,0,null,null,null,0,0,0,null,null,0,0,null,null,0,null,null,null,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1.01658797025148,1.01658797025148,2.91479486498983,2.91479486498983,4,4,4,4.75979298847516,4.75979298847516,5.75839145747187,5.75839145747187,5,5,5,5,5,5.90516308762876,5.90516308762876,5.9956493775646,5.9956493775646,6,6,5.27783350512363,5.27783350512363,6,6,6.34909726313129,6.34909726313129,6.34909726313129,6.87450262459994,6.87450262459994,6,6,6.60489830676505,6.60489830676505,6,6,6,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7.59263366231278,7.59263366231278,8,8,8,7.52569180617493,7.52569180617493,7.52569180617493,6.9617429080004,6.9617429080004,6,6,6,7.22467945530125,7.22467945530125,7,7,7,7.51438207028864,7.51438207028864,7.51438207028864,8.14262492236845,8.14262492236845,8.18347156243116,8.18347156243116,8.18347156243116,7,7,7,10.4250125566104,10.4250125566104,7.13346472826217,7.13346472826217,7.13346472826217,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.528616001438803,0.528616001438803,0.294969926771207,0.294969926771207,1,1,1.01658797025148,1.01658797025148,2.91479486498983,2.91479486498983,3.99999999999999,3.99999999999999,4,4.7597929884751,4.7597929884751,5.00000000000006,5.00000000000006,5.21784313776143,5.21784313776143,5.21784313776143,5.16891314405509,5.16891314405509,5.90516308762869,5.90516308762869,5,5,5.99999999999999,5.99999999999999,6,6,6.00000000000004,6.00000000000004,6.34909726313132,6.34909726313132,6.34909726313132,6.99999999999993,6.99999999999993,6.00000000000001,6.00000000000001,6.99999999999995,6.99999999999995,6.00000000000008,6.00000000000008,6.00000000000008,6,6,6.99999999999997,6.99999999999997,7,7,7,7,7,7,7,7,7,7,7,7,6.99999999999999,6.99999999999999,6.99999999999999,7.59263366231273,7.59263366231273,7.99999999999999,7.99999999999999,7.99999999999999,7.99999999999996,7.99999999999996,7.99999999999996,6.00000000000016,6.00000000000016,6.00000000000008,6.00000000000008,6.00000000000008,6.22467945530123,6.22467945530123,6.84610958815998,6.84610958815998,6.84610958815998,6.99999999999996,6.99999999999996,6.99999999999996,7.14262492236836,7.14262492236836,8.18347156243113,8.18347156243113,8.18347156243113,6.00000000000008,6.00000000000008,6.00000000000008,10.2125062783053,10.2125062783053,7.13346472826225,7.13346472826225,7.13346472826225,6.00000000000008,6.00000000000008,6.00000000000008,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,0,null,null,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,null,null,null,null,null,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1.01658797025148,1.01658797025148,2.91479486498983,2.91479486498983,3.83802972671544,3.83802972671544,4,4,4,5.75839145747187,5.75839145747187,5,5,5,5.16891314405509,5.16891314405509,5,5,5,5,5.87140263255679,5.87140263255679,6,6,6.45197093658714,6.45197093658714,6.65090273686871,6.65090273686871,6.65090273686871,6.12549737540006,6.12549737540006,6.1226244485047,6.1226244485047,6.39510169323495,6.39510169323495,7,7,7,6,6,6.64331440437611,6.64331440437611,7,7,7,7,7,7,7,7,7,7,7,7,6.90527466403502,6.90527466403502,6.90527466403502,7,7,7.93052376033057,7.93052376033057,7.93052376033057,7.52569180617493,7.52569180617493,7.52569180617493,7.9617429080004,7.9617429080004,7,7,7,6,6,6.84610958815998,6.84610958815998,6.84610958815998,6.48561792971136,6.48561792971136,6.48561792971136,6,6,7.81652843756884,7.81652843756884,7.81652843756884,6.98659159937429,6.98659159937429,6.98659159937429,11.5749874433895,11.5749874433895,8.06673236413109,8.06673236413109,8.06673236413109,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.29496992677115,1.29496992677115,1,1,1.01658797025148,1.01658797025148,2.91479486498983,2.91479486498983,3,3,4,4.75979298847516,4.75979298847516,5,5,5.78215686223855,5.78215686223855,5.78215686223855,5.16891314405509,5.16891314405509,5,5,5.0043506224354,5.0043506224354,5.87140263255679,5.87140263255679,6,6,6,6,6.65090273686871,6.65090273686871,6.65090273686871,6,6,7,7,6.39510169323495,6.39510169323495,6,6,6,6.98764824541445,6.98764824541445,6.64331440437611,6.64331440437611,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,8,8,8,7.52569180617493,7.52569180617493,7.52569180617493,7.92348581600081,7.92348581600081,6.37811584266707,6.37811584266707,6.37811584266707,7,7,7.84610958815998,7.84610958815998,7.84610958815998,7.48561792971136,7.48561792971136,7.48561792971136,5,5,7.81652843756884,7.81652843756884,7.81652843756884,7.98659159937429,7.98659159937429,7.98659159937429,10.7874937216948,10.7874937216948,8.06673236413109,8.06673236413109,8.06673236413109,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,null,null,null,null,null,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,1,1.01658797025148,1.01658797025148,2,2,3,3,4,4.75979298847516,4.75979298847516,5,5,6,6,6,5,5,5.90516308762876,5.90516308762876,6,6,6,6,6,6,6,6,6,6,6,6.87450262459994,6.87450262459994,6.8773755514953,6.8773755514953,6,6,6,6,6,6,6,6,6,6.27550390441898,6.27550390441898,6.27550390441898,7,7,7,7,7,7,7,6.42466366850326,6.42466366850326,6.09472533596498,6.09472533596498,6.09472533596498,6.40736633768722,6.40736633768722,7,7,7,7,7,7,7.92348581600081,7.92348581600081,6.37811584266707,6.37811584266707,6.37811584266707,6,6,7,7,7,7,7,7,5.85737507763155,5.85737507763155,6.81652843756884,6.81652843756884,6.81652843756884,6.49329579968714,6.49329579968714,6.49329579968714,10.7874937216948,10.7874937216948,8.13346472826217,8.13346472826217,8.13346472826217,8,8,8,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.528616001438765,0.528616001438765,0.29496992677115,0.29496992677115,2,2,1.01658797025148,1.01658797025148,2,2,3,3,4,4.75979298847516,4.75979298847516,5.24160854252813,5.24160854252813,5.78215686223855,5.78215686223855,5.78215686223855,5,5,6,6,6,6,5.12859736744321,5.12859736744321,6,6,6,6,6,6,6,7,7,6,6,6.60489830676505,6.60489830676505,6.6917470071351,6.6917470071351,6.6917470071351,6,6,6,6,6.27550390441898,6.27550390441898,6.27550390441898,7,7,6.47057524996473,6.47057524996473,6.47057524996473,6.96592452379364,6.96592452379364,7,7,6.90527466403502,6.90527466403502,6.90527466403502,7,7,7,7,7,7.52569180617493,7.52569180617493,7.52569180617493,6,6,6.62188415733293,6.62188415733293,6.62188415733293,6,6,6.84610958815998,6.84610958815998,6.84610958815998,6.48561792971136,6.48561792971136,6.48561792971136,6.85737507763155,6.85737507763155,5,5,5,7.50670420031286,7.50670420031286,7.50670420031286,10,10,8.06673236413109,8.06673236413109,8.06673236413109,6.99509774257648,6.99509774257648,6.99509774257648,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,0,0,0,null,null,null,null,0,0,0,0,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.672477613132225,0.672477613132225,0.528616001438784,0.528616001438784,1.29496992677115,1.29496992677115,2.00000000000001,2.00000000000001,2.00000000000004,2.00000000000004,2.91479486498983,2.91479486498983,3.00000000000004,3.00000000000004,4.00000000000003,4.75979298847517,4.75979298847517,5,5,5,5,5,5.00000000000003,5.00000000000003,5.99999999999999,5.99999999999999,5.0043506224354,5.0043506224354,5.12859736744324,5.12859736744324,6,6,6.00000000000002,6.00000000000002,6,6,6,6.99999999999999,6.99999999999999,6,6,6.60489830676503,6.60489830676503,6,6,6,6.98764824541441,6.98764824541441,6,6,6.27550390441898,6.27550390441898,6.27550390441898,6.8844916325098,6.8844916325098,6,6,6,6.99999999999996,6.99999999999996,6.99999999999996,6.99999999999996,6,6,6,6.99999999999998,6.99999999999998,6.99999999999996,6.99999999999996,6.99999999999996,6.47430819382507,6.47430819382507,6.47430819382507,6,6,6,6,6,6,6,6.84610958815997,6.84610958815997,6.84610958815997,6,6,6,5.99999999999996,5.99999999999996,5.81652843756881,5.81652843756881,5.81652843756881,7,7,7,8.99999999999992,8.99999999999992,7.99999999999996,7.99999999999996,7.99999999999996,6.99509774257648,6.99509774257648,6.99509774257648,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.672477613132198,0.672477613132198,0.99999999999996,0.99999999999996,1.29496992677115,1.29496992677115,2.14334013103525,2.14334013103525,3,3,3,3,4,4,4.78634838135426,5,5,5,5,5,5,5,5.83108685594491,5.83108685594491,5.90516308762876,5.90516308762876,5,5,6,6,6,6,6.54802906341284,6.54802906341284,6,6,6,6.8745026245999,6.8745026245999,6,6,6,6,6,6,6,6,6,6,6,6.27550390441898,6.27550390441898,6.27550390441898,6.88449163250977,6.88449163250977,6,6,6,6,6,6,6,6.00000000000004,6.00000000000004,6.00000000000004,6.59263366231278,6.59263366231278,6.06947623966943,6.06947623966943,6.06947623966943,null,null,null,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,5.18347156243115,5.18347156243115,5.18347156243115,6.99999999999996,6.99999999999996,6.99999999999996,6.99999999999997,6.99999999999997,6.93326763586892,6.93326763586892,6.93326763586892,6.99999999999996,6.99999999999996,6.99999999999996,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,0,0,null,0,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.29496992677115,1.29496992677115,2,2,2.99999999999996,2.99999999999996,3,3,4,4,5,5,5,5,5,5.00000000000004,5.00000000000004,5.00000000000004,5.83108685594491,5.83108685594491,5.90516308762876,5.90516308762876,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6.27550390441897,6.27550390441897,6.27550390441897,6,6,6.00000000000002,6.00000000000002,6.00000000000002,6.00000000000004,6.00000000000004,6.00000000000002,6.00000000000002,6.90527466403502,6.90527466403502,6.90527466403502,6.59263366231278,6.59263366231278,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5.99999999999998,5.99999999999998,5.99999999999998,6.21250627830522,6.21250627830522,7,7,7,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,0,null,null,null,null,null,0,null,0,0,0,null,null,null,null,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.29496992677115,1.29496992677115,2,2,2.01658797025148,2.01658797025148,3,3,4,4,5,5,5,5,5,6,6,6,5.83108685594491,5.83108685594491,5.90516308762876,5.90516308762876,5.0043506224354,5.0043506224354,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6.52942475003527,6.52942475003527,6.52942475003527,6.96592452379364,6.96592452379364,6.42466366850326,6.42466366850326,6.90527466403502,6.90527466403502,6.90527466403502,6.59263366231278,6.59263366231278,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5.49329579968714,5.49329579968714,5.49329579968714,6,6,7,7,7,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,0,0,null,0,0,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.29496992677115,1.29496992677115,2,2,2.01658797025148,2.01658797025148,3,3,4,4,4,5,5,5.24160854252813,5.24160854252813,5,5,5,5.83108685594491,5.83108685594491,5.90516308762876,5.90516308762876,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,5.52942475003527,5.52942475003527,5.52942475003527,6,6,6.57533633149674,6.57533633149674,6.90527466403502,6.90527466403502,6.90527466403502,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,7,6.57498744338955,6.57498744338955,5.06673236413109,5.06673236413109,5.06673236413109,6.66339849505099,6.66339849505099,6.66339849505099,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,0,null,null,0,0,0,0,null,null,0,0,null,null,0,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.99999999999997,1.99999999999997,2,2,2.01658797025148,2.01658797025148,3,3,4,4,4,4.75979298847517,4.75979298847517,5.24160854252813,5.24160854252813,5.78215686223852,5.78215686223852,5.78215686223852,5.83108685594491,5.83108685594491,5.90516308762876,5.90516308762876,5.9956493775646,5.9956493775646,6,6,6,6,6,6,6,6,6,6,6,5.12262444850474,5.12262444850474,6,6,6,6,6,6,6,6,6,6,6,6,6,6,5.52942475003527,5.52942475003527,5.52942475003527,6,6,6.57533633149674,6.57533633149674,6.09472533596501,6.09472533596501,6.09472533596501,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,7,6.78749372169477,6.78749372169477,5.99999999999996,5.99999999999996,5.99999999999996,6.66339849505099,6.66339849505099,6.66339849505099,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,0,0,0,null,0,0,0,0,null,null,0,0,null,null,0,0,0,null,0,0,0,0,0,null,null,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.99999999999996,0.99999999999996,1.29496992677111,1.29496992677111,2,2,2.01658797025148,2.01658797025148,3,3,3,3,3.78634838135425,4.75979298847516,4.75979298847516,5,5,6,6,6,5.99999999999999,5.99999999999999,5.90516308762876,5.90516308762876,6,6,5.99999999999996,5.99999999999996,6,6,6,6,6,6,6,6,6,6.1226244485047,6.1226244485047,6,6,6,6,6,6,6,5.99999999999997,5.99999999999997,6,6,6,5.1155083674902,5.1155083674902,5.47057524996473,5.47057524996473,5.47057524996473,6,6,6,6,6.09472533596498,6.09472533596498,6.09472533596498,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.21250627830522,7.21250627830522,7,7,7,7.33169924752548,7.33169924752548,7.33169924752548,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,0,0,0,0,0,null,0,0,0,null,null,null,0,0,null,null,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.294969926771138,0.294969926771138,1.99999999999992,1.99999999999992,2.0165879702514,2.0165879702514,2.99999999999996,2.99999999999996,2.99999999999999,2.99999999999999,3.78634838135425,4.75979298847516,4.75979298847516,5,5,5.99999999999999,5.99999999999999,5.99999999999999,5.83108685594488,5.83108685594488,5.90516308762877,5.90516308762877,6,6,5.12859736744321,5.12859736744321,5.99999999999999,5.99999999999999,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,5.35668559562391,5.35668559562391,5.99999999999999,5.99999999999999,5.99999999999999,5.1155083674902,5.1155083674902,5.47057524996473,5.47057524996473,5.47057524996473,5.99999999999996,5.99999999999996,6,6,6.09472533596498,6.09472533596498,6.09472533596498,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.21250627830518,7.21250627830518,7,7,7,6.99999999999997,6.99999999999997,6.99999999999997,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,0,0,0,null,null,0,null,null,null,null,0,0,null,null,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0497639107544417,0.0497639107544417,2.08520513501017,2.08520513501017,2.83802972671544,2.83802972671544,3.78634838135425,4.75979298847516,4.75979298847516,5,5,5.78215686223855,5.78215686223855,5.78215686223855,5,5,6,6,6,6,5.12859736744321,5.12859736744321,5.72216649487637,5.72216649487637,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,5.72449609558102,5.72449609558102,5.72449609558102,5.1155083674902,5.1155083674902,5.47057524996473,5.47057524996473,5.47057524996473,5.03407547620636,5.03407547620636,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.21250627830522,6.21250627830522,7,7,7,6.33169924752549,6.33169924752549,6.33169924752549,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,null,null,null,0,0,null,null,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0497639107544417,0.0497639107544417,1.17041027002034,1.17041027002034,2.83802972671544,2.83802972671544,3.78634838135425,4.75979298847516,4.75979298847516,5.75839145747187,5.75839145747187,5.78215686223855,5.78215686223855,5.78215686223855,5,5,6,6,6,6,5,5,6,6,5.45197093658714,5.45197093658714,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,5.72449609558102,5.72449609558102,5.72449609558102,6,6,5.47057524996473,5.47057524996473,5.47057524996473,5.03407547620636,5.03407547620636,6,6,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,7,7,7,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,null,null,null,0,0,null,null,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.143340131035251,0.143340131035251,0.0497639107544417,0.0497639107544417,3,3,2.16197027328456,2.16197027328456,3.78634838135425,4.75979298847516,4.75979298847516,5.24160854252813,5.24160854252813,5.78215686223855,5.78215686223855,5.78215686223855,5,5,6,6,6,6,6,6,6,6,5.45197093658714,5.45197093658714,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,5.47057524996473,5.47057524996473,5.47057524996473,6,6,6,6,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,6.06673236413109,6.06673236413109,6.06673236413109,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,null,null,0,0,null,null,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2.01658797025148,2.01658797025148,3,3,3,3,3,4.51958597695033,4.51958597695033,5.24160854252813,5.24160854252813,5.78215686223855,5.78215686223855,5.78215686223855,5,5,6,6,6,6,6,6,6,6,5.45197093658714,5.45197093658714,6,6,6,6,6,6,6,6,6,5.3082529928649,5.3082529928649,5.3082529928649,6,6,6,6,5.72449609558102,5.72449609558102,5.72449609558102,6,6,5.52942475003527,5.52942475003527,5.52942475003527,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,6.06673236413109,6.06673236413109,6.06673236413109,6.33169924752549,6.33169924752549,6.33169924752549,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,null,null,0,0,null,null,null,0,null,0,0,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.471383998561216,0.471383998561216,1.18417637385237e-14,1.18417637385237e-14,0.143340131035286,0.143340131035286,1.03317594050296,1.03317594050296,3,3,2.16197027328459,2.16197027328459,4,4.51958597695034,4.51958597695034,5.24160854252813,5.24160854252813,6,6,6,5.00000000000004,5.00000000000004,5.99999999999999,5.99999999999999,5.99999999999996,5.99999999999996,6,6,6,6,6,6,6,6,6,6,6,6,6,5.99999999999998,5.99999999999998,6,6,6,6,6,6,6,5.72449609558103,5.72449609558103,5.72449609558103,6,6,5.52942475003527,5.52942475003527,5.52942475003527,5.96592452379364,5.96592452379364,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.00000000000004,7.00000000000004,6.06673236413109,6.06673236413109,6.06673236413109,6.33169924752552,6.33169924752552,6.33169924752552,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,null,null,0,0,null,null,null,null,null,0,0,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.29496992677115,0.29496992677115,1,1,1.03317594050296,1.03317594050296,3,3,3,3,4,4.7597929884752,4.7597929884752,5.24160854252812,5.24160854252812,6,6,6,5.99999999999999,5.99999999999999,5.90516308762876,5.90516308762876,5.0043506224354,5.0043506224354,5.99999999999996,5.99999999999996,6,6,5.99999999999998,5.99999999999998,6,6,6,6,6,5.99999999999999,5.99999999999999,5.39510169323497,5.39510169323497,5.99999999999996,5.99999999999996,5.99999999999996,6,6,6,6,6,6,6,6,6,5.52942475003529,5.52942475003529,5.52942475003529,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.99999999999996,7.99999999999996,6.06673236413112,6.06673236413112,6.06673236413112,7.00000000000003,7.00000000000003,7.00000000000003,6.99999999999998,6.99999999999998,6.99999999999998,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,null,null,0,0,null,null,null,null,null,null,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.29496992677115,0.29496992677115,1,1,1.01658797025148,1.01658797025148,2.91479486498983,2.91479486498983,3,3,4,5.51958597695033,5.51958597695033,5,5,6,6,6,5.83108685594491,5.83108685594491,5.90516308762876,5.90516308762876,5.0043506224354,5.0043506224354,5.12859736744321,5.12859736744321,6,6,5.54802906341286,5.54802906341286,6,6,6,6,6,5.8773755514953,5.8773755514953,6,6,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,7,7,7,7.6683007524745,7.6683007524745,7.6683007524745,6.58310169460759,6.58310169460759,6.58310169460759,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,null,null,null,0,0,0,0,null,null,null,null,0,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.29496992677115,0.29496992677115,1,1,1,1,2.82958972997966,2.82958972997966,3,3,4,5.51958597695033,5.51958597695033,5,5,5.78215686223855,5.78215686223855,5.78215686223855,5,5,5,5,5.0043506224354,5.0043506224354,5.12859736744321,5.12859736744321,6,6,5.54802906341286,5.54802906341286,6,6,6,6,6,5.1226244485047,5.1226244485047,6,6,5.69174700713511,5.69174700713511,5.69174700713511,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,6.13346472826217,6.13346472826217,6.13346472826217,7.33660150494901,7.33660150494901,7.33660150494901,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,null,null,null,0,0,0,0,0,null,null,null,null,null,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.999999999999994,0.999999999999994,0.99999999999996,0.99999999999996,1.91479486498979,1.91479486498979,2.83802972671541,2.83802972671541,2.78634838135422,4.75979298847516,4.75979298847516,6,6,5,5,5,5.16891314405509,5.16891314405509,5.09483691237123,5.09483691237123,5.0043506224354,5.0043506224354,5.87140263255679,5.87140263255679,6,6,6,6,6,6,6,6,6,5.12262444850474,5.12262444850474,6,6,5.6917470071351,5.6917470071351,5.6917470071351,5.01235175458559,5.01235175458559,6,6,6,6,6,6,6,6,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.78749372169478,7.78749372169478,7.06673236413116,7.06673236413116,7.06673236413116,7.336601504949,7.336601504949,7.336601504949,7.33240677843038,7.33240677843038,7.33240677843038,6.00000000000004,6.00000000000004,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,null,0,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.856659868964749,0.856659868964749,0.0165879702514806,0.0165879702514806,1,1,2,2,2,4.75979298847516,4.75979298847516,6,6,5,5,5,5.16891314405509,5.16891314405509,5,5,5.0043506224354,5.0043506224354,5.87140263255679,5.87140263255679,6,6,6,6,6,6,6,6,6,6,6,6,6,5.69174700713511,5.69174700713511,5.69174700713511,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8,8,8.93326763586891,8.93326763586891,8.93326763586891,7,7,7,7.74930508382278,7.74930508382278,7.74930508382278,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,null,0,0,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,null,0,0,0,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0165879702514806,0.0165879702514806,1,1,1.83802972671544,1.83802972671544,2,4.75979298847516,4.75979298847516,5.75839145747187,5.75839145747187,5,5,5,6,6,5,5,5.9956493775646,5.9956493775646,5,5,6,6,5.45197093658714,5.45197093658714,6,6,6,6,6,6,6,6,6,5.69174700713511,5.69174700713511,5.69174700713511,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6.57533633149675,6.57533633149675,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8.21250627830522,8.21250627830522,10,10,10,7.33169924752549,7.33169924752549,7.33169924752549,6.41689830539241,6.41689830539241,6.41689830539241,6.1783339156289,6.1783339156289,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,0,null,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0165879702514806,0.0165879702514806,0.999999999999963,0.999999999999963,1,1,2.78634838135422,4,4,5.75839145747184,5.75839145747184,5.00000000000004,5.00000000000004,5.00000000000004,5.16891314405512,5.16891314405512,5.90516308762876,5.90516308762876,5.99564937756456,5.99564937756456,5,5,6,6,5.45197093658716,5.45197093658716,6,6,6,6,6,6,6,5.39510169323497,5.39510169323497,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6.57533633149672,6.57533633149672,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,7,9.21250627830522,9.21250627830522,10,10,10,7.33169924752558,7.33169924752558,7.33169924752558,6.99999999999998,6.99999999999998,6.99999999999998,6.1783339156289,6.1783339156289,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999996,5.99999999999996,5.99999999999996,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0165879702514806,0.0165879702514806,0.0852051350101697,0.0852051350101697,1,1,2,4,4,5,5,6,6,6,6,6,5.90516308762876,5.90516308762876,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6.09472533596498,6.09472533596498,6.09472533596498,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,7,7,7,7,9.21250627830522,9.21250627830522,10.0667323641311,10.0667323641311,10.0667323641311,9.33169924752549,9.33169924752549,9.33169924752549,6.58310169460759,6.58310169460759,6.58310169460759,6.1783339156289,6.1783339156289,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,null,null,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6.65935089620479e-16,6.65935089620479e-16,3.42061676979786e-15,3.42061676979786e-15,1,1,1.99999999999999,3.99999999999996,3.99999999999996,4.75839145747187,4.75839145747187,5,5,5,5.99999999999999,5.99999999999999,5.90516308762876,5.90516308762876,5,5,5,5,6,6,5.99999999999998,5.99999999999998,5.34909726313129,5.34909726313129,5.34909726313129,6,6,6,6,6,6,6,6,6,6,6,6,6,6.00000000000001,6.00000000000001,6.00000000000001,6,6,6,6,6,6,6,7,7,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.00000000000003,7.00000000000003,7.00000000000003,9,9,9,9.99999999999996,9.99999999999996,9.99999999999996,9.99999999999996,9.99999999999996,8.66339849505102,8.66339849505102,8.66339849505102,6.99999999999998,6.99999999999998,6.99999999999998,6.8216660843711,6.8216660843711,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,0,null,0,null,0,0,0,0,0,0,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.01658797025152,0.01658797025152,0.0852051350102064,0.0852051350102064,1,1,1.78634838135426,2.99999999999996,2.99999999999996,4.75839145747183,4.75839145747183,5,5,5,5.83108685594488,5.83108685594488,5.90516308762873,5.90516308762873,5,5,5,5,6,6,5.45197093658714,5.45197093658714,5.34909726313132,5.34909726313132,5.34909726313132,6,6,6,6,6,6,6,6,6,6,6,6,6,6.27550390441897,6.27550390441897,6.27550390441897,6,6,6,6,6,6,6,6.99999999999998,6.99999999999998,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.00000000000004,6.00000000000004,7.81652843756884,7.81652843756884,7.81652843756884,8.99999999999998,8.99999999999998,8.99999999999998,8.99999999999999,8.99999999999999,8.99999999999996,8.99999999999996,8.99999999999996,9.33169924752547,9.33169924752547,9.33169924752547,6.58310169460761,6.58310169460761,6.58310169460761,6.82166608437114,6.82166608437114,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,null,null,0,0,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,0,0,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3.75839145747187,3.75839145747187,5,5,5,5,5,5,5,5,5,5,5,6,6,5.45197093658714,5.45197093658714,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6.57533633149675,6.57533633149675,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,8,8,8,8.49329579968714,8.49329579968714,8.49329579968714,8.78749372169477,8.78749372169477,8,8,8,8.66339849505099,8.66339849505099,8.66339849505099,7,7,7,8,8,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,0,0,null,0,0,0,0,null,null,null,null,0,0,0,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.856659868964749,0.856659868964749,1,1,1.91479486498983,1.91479486498983,1,1,2,2,2,3.75839145747187,3.75839145747187,5,5,5,5.16891314405509,5.16891314405509,5.09483691237124,5.09483691237124,5,5,5.87140263255679,5.87140263255679,6,6,5.45197093658714,5.45197093658714,6,6,6,6,6,6,6,6,6,6.6917470071351,6.6917470071351,6.6917470071351,6,6,6,6,6,6,6,6,6,6,6,6,6.96592452379364,6.96592452379364,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.85737507763155,7.85737507763155,8.81652843756884,8.81652843756884,8.81652843756884,8,8,8,8,8,8,8,8,8.33169924752549,8.33169924752549,8.33169924752549,6,6,6,8,8,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,null,0,0,0,0,0,0,null,null,null,0,0,null,null,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.00000000000003,1.00000000000003,1,1,1,1,1,1,2.78634838135428,2,2,3.75839145747187,3.75839145747187,4.78215686223854,4.78215686223854,4.78215686223854,5,5,5.09483691237124,5.09483691237124,5.9956493775646,5.9956493775646,5.87140263255679,5.87140263255679,6,6,6,6,5.34909726313127,5.34909726313127,5.34909726313127,6,6,6,6,6,6,6.69174700713513,6.69174700713513,6.69174700713513,6,6,6,6,6,6,6,6,6,6.52942475003527,6.52942475003527,6.52942475003527,7,7,5.99999999999996,5.99999999999996,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8,8,8.00000000000004,8.00000000000004,8.00000000000004,8,8,8,7,7,6.06673236413109,6.06673236413109,6.06673236413109,6.33169924752547,6.33169924752547,6.33169924752547,5.99999999999996,5.99999999999996,5.99999999999996,6.17833391562886,6.17833391562886,6.048137044043,6.048137044043,6.048137044043,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,0,0,null,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.143340131035251,0.143340131035251,1,1,1,1,1,1,2,2,2,3.75839145747187,3.75839145747187,5,5,5,5,5,5.09483691237124,5.09483691237124,5.9956493775646,5.9956493775646,5.87140263255679,5.87140263255679,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6.52942475003527,6.52942475003527,6.52942475003527,7,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8,8,7,7,7,8,8,8,7,7,6,6,6,7,7,7,7,7,7,7.17833391562891,7.17833391562891,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,0,0,null,null,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.143340131035245,0.143340131035245,0.99999999999996,0.99999999999996,1,1,1,1,1.78634838135422,2.00000000000002,2.00000000000002,3.75839145747187,3.75839145747187,5,5,5,5.00000000000001,5.00000000000001,5,5,5.99999999999996,5.99999999999996,5.87140263255676,5.87140263255676,6,6,6,6,5.34909726313129,5.34909726313129,5.34909726313129,6,6,6,6,6,6,6,6,6,6,6,6.6433144043761,6.6433144043761,6,6,6,6.00000000000004,6.00000000000004,6.99999999999998,6.99999999999998,6.99999999999998,6.99999999999996,6.99999999999996,6.99999999999996,6.99999999999996,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8,8,7.99999999999996,7.99999999999996,7.99999999999996,7,7,7,6,6,6,6,6,null,null,null,5.83379661078483,5.83379661078483,5.83379661078483,7.00000000000007,7.00000000000007,7.04813704404307,7.04813704404307,7.04813704404307,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0165879702514806,0.0165879702514806,1,1,1,1,1,2.51958597695033,2.51958597695033,3.75839145747187,3.75839145747187,5,5,5,5.16891314405509,5.16891314405509,5,5,5,5,5.12859736744321,5.12859736744321,6,6,6,6,5.34909726313129,5.34909726313129,5.34909726313129,6,6,6,6,6,6,6,6,6,6,6,6.35668559562389,6.35668559562389,6,6,6,6.8844916325098,6.8844916325098,6.47057524996473,6.47057524996473,6.47057524996473,6.03407547620636,6.03407547620636,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.85737507763155,7.85737507763155,7,7,7,7,7,7,6,6,null,null,null,null,null,null,6.25069491617722,6.25069491617722,6.25069491617722,8.64333216874219,8.64333216874219,7.95186295595697,7.95186295595697,7.95186295595697,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0165879702514806,0.0165879702514806,1,1,1,1,1,2.51958597695033,2.51958597695033,3.75839145747187,3.75839145747187,4,4,4,5,5,3.09483691237124,3.09483691237124,4.0043506224354,4.0043506224354,6,6,5.27783350512363,5.27783350512363,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,6.18347156243116,6.18347156243116,6.18347156243116,6,6,6,null,null,null,null,null,null,null,null,6,6,6,7.17833391562891,7.17833391562891,7.04813704404303,7.04813704404303,7.04813704404303,7.5,7.5,7.5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,null,0,null,0,0,0,0,0,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.91479486498983,0.91479486498983,1,1,1,2.51958597695033,2.51958597695033,2,2,3,3,3,3,3,3,3,4,4,5,5,5.27783350512363,5.27783350512363,5.54802906341286,5.54802906341286,5.34909726313129,5.34909726313129,5.34909726313129,6,6,6,6,6,6,6,6,6,6,6,6.64331440437611,6.64331440437611,6,6,6,6,6,6.47057524996473,6.47057524996473,6.47057524996473,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.83379661078482,6.83379661078482,6.83379661078482,9.8216660843711,9.8216660843711,8,8,8,7.26327658050407,7.26327658050407,7.26327658050407,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,null,null,0,0,0,0,0,null,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.914794864989867,0.914794864989867,1,1,1,2.51958597695033,2.51958597695033,2,2,2.78215686223855,2.78215686223855,2.78215686223855,2.99999999999996,2.99999999999996,2.99999999999992,2.99999999999992,4,4,5,5,5.27783350512363,5.27783350512363,5.54802906341284,5.54802906341284,5.65090273686871,5.65090273686871,5.65090273686871,5.87450262459994,5.87450262459994,6,6,6,6,6,6,6,6,6,6.35668559562391,6.35668559562391,5.99999999999999,5.99999999999999,5.99999999999999,6,6,7,7,7,7,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.25069491617724,7.25069491617724,7.25069491617724,9.82166608437113,9.82166608437113,7.99999999999996,7.99999999999996,7.99999999999996,7.52655316100808,7.52655316100808,7.52655316100808,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,null,null,null,0,0,0,0,0,0,null,0,null,0,0,0,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2.51958597695031,2.51958597695031,2,2,2.78215686223855,2.78215686223855,2.78215686223855,4.00000000000004,4.00000000000004,5,5,4.00435062243544,4.00435062243544,5,5,5.27783350512363,5.27783350512363,6,6,5.65090273686871,5.65090273686871,5.65090273686871,5.87450262459994,5.87450262459994,6,6,6,6,6,6,6,6,6,6,6,6.27550390441898,6.27550390441898,6.27550390441898,6,6,7,7,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.83379661078484,6.83379661078484,6.83379661078484,8.99999999999999,8.99999999999999,8.99999999999996,8.99999999999996,8.99999999999996,9.26327658050403,9.26327658050403,9.26327658050403,7.99999999999996,7.99999999999996,7.99999999999996,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2.78215686223859,2.78215686223859,2.78215686223859,5,5,5.09483691237124,5.09483691237124,5.00000000000004,5.00000000000004,5,5,5.27783350512363,5.27783350512363,5.99999999999998,5.99999999999998,5.65090273686872,5.65090273686872,5.65090273686872,5.87450262459994,5.87450262459994,6,6,6,6,6,6,6,6,6,6,6,6.27550390441897,6.27550390441897,6.27550390441897,6.1155083674902,6.1155083674902,7,7,7,7,7,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.41689830539241,7.41689830539241,7.41689830539241,8.82166608437106,8.82166608437106,7.99999999999996,7.99999999999996,7.99999999999996,8.26327658050406,8.26327658050406,8.26327658050406,6.99999999999998,6.99999999999998,6.99999999999998,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,null,null,0,0,0,0,0,0,null,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3.78215686223855,3.78215686223855,3.78215686223855,5,5,5.09483691237124,5.09483691237124,5.9956493775646,5.9956493775646,5,5,5.27783350512363,5.27783350512363,5.54802906341286,5.54802906341286,6,6,6,5.87450262459994,5.87450262459994,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6.1155083674902,6.1155083674902,7,7,7,7,7,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.41689830539241,7.41689830539241,7.41689830539241,7.8216660843711,7.8216660843711,7.04813704404303,7.04813704404303,7.04813704404303,8,8,8,6.46786315306116,6.46786315306116,6.46786315306116,7.5,7.5,7.5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.838029726715444,0.838029726715444,1,2,2,2,2,3.78215686223855,3.78215686223855,3.78215686223855,5,5,5.09483691237124,5.09483691237124,5,5,5.87140263255679,5.87140263255679,5.72216649487637,5.72216649487637,6,6,5.65090273686871,5.65090273686871,5.65090273686871,5.87450262459994,5.87450262459994,5.1226244485047,5.1226244485047,6,6,5.69174700713511,5.69174700713511,5.69174700713511,6,6,6.64331440437611,6.64331440437611,7,7,7,6,6,7,7,7,7,7,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.16620338921518,7.16620338921518,7.16620338921518,7,7,7,7,7,7,7,7,6,6,6,7.33730931017422,7.33730931017422,7.33730931017422,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,null,null,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2.75839145747187,2.75839145747187,4.78215686223855,4.78215686223855,4.78215686223855,5.83108685594491,5.83108685594491,5.09483691237124,5.09483691237124,5,5,5.87140263255679,5.87140263255679,5.72216649487637,5.72216649487637,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6.01235175458555,6.01235175458555,6,6,7,7,7,6,6,7,7,7,7,7,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.41689830539241,6.41689830539241,6.41689830539241,7,7,7,7,7,7,7,7,6,6,6,6.67461862034844,6.67461862034844,6.67461862034844,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1.75979298847516,1.75979298847516,3.75839145747187,3.75839145747187,4,4,4,5,5,6,6,5,5,5.87140263255679,5.87140263255679,5.72216649487637,5.72216649487637,6,6,6,6,6,5,5,6,6,6,6,6,6,6,6.98764824541445,6.98764824541445,6,6,6.72449609558102,6.72449609558102,6.72449609558102,7,7,7,7,7,7,7,6.42466366850326,6.42466366850326,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6.8216660843711,6.8216660843711,7,7,7,6.73672341949593,6.73672341949593,6.73672341949593,6,6,6,5.33730931017422,5.33730931017422,5.33730931017422,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3.75839145747187,3.75839145747187,4,4,4,5,5,6,6,5,5,5.87140263255679,5.87140263255679,5,5,6,6,6,6,6,5,5,6,6,5.39510169323495,5.39510169323495,6,6,6,6.98764824541445,6.98764824541445,6.35668559562389,6.35668559562389,6.72449609558102,6.72449609558102,6.72449609558102,7,7,7,7,7,7,7,6.42466366850326,6.42466366850326,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,7,6.8216660843711,6.8216660843711,6.95186295595697,6.95186295595697,6.95186295595697,6,6,6,6.53213684693884,6.53213684693884,6.53213684693884,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.78634838135425,2,2,3.51678291494369,3.51678291494369,4.00000000000003,4.00000000000003,4.00000000000003,5.00000000000001,5.00000000000001,5.09483691237127,5.09483691237127,5,5,5.87140263255675,5.87140263255675,5.72216649487637,5.72216649487637,5.45197093658714,5.45197093658714,5.6509027368687,5.6509027368687,5.6509027368687,5.12549737540006,5.12549737540006,6,6,5.99999999999998,5.99999999999998,5.69174700713512,5.69174700713512,5.69174700713512,6,6,6.00000000000004,6.00000000000004,6,6,6,7,7,7,7,7,7,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6.8216660843711,6.8216660843711,7,7,7,5.99999999999997,5.99999999999997,5.99999999999997,6,6,6,5.66269068982575,5.66269068982575,5.66269068982575,5.00000000000003,5.00000000000003,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,0,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.78634838135425,2,2,2.51678291494373,2.51678291494373,4.78215686223855,4.78215686223855,4.78215686223855,5.16891314405509,5.16891314405509,5.90516308762876,5.90516308762876,5,5,5,5,5.72216649487637,5.72216649487637,5.45197093658714,5.45197093658714,5.34909726313129,5.34909726313129,5.34909726313129,5.12549737540006,5.12549737540006,6,6,5.39510169323495,5.39510169323495,6,6,6,6,6,7,7,6,6,6,7,7,7,7,7,7,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,7,7,7,7,7,5.26327658050407,5.26327658050407,5.26327658050407,null,null,null,5,5,5,5.84856755029933,5.84856755029933,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,null,null,0,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,0,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.78634838135425,1.75979298847516,1.75979298847516,1.75839145747187,1.75839145747187,3.78215686223855,3.78215686223855,3.78215686223855,5,5,5.90516308762876,5.90516308762876,5,5,5,5,6,6,5.45197093658714,5.45197093658714,5.34909726313129,5.34909726313129,5.34909726313129,5.12549737540006,5.12549737540006,6,6,6,6,6,6,6,6,6,6.35668559562389,6.35668559562389,6.72449609558102,6.72449609558102,6.72449609558102,7,7,7,7,7,7.96592452379364,7.96592452379364,6.57533633149675,6.57533633149675,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.1783339156289,6.1783339156289,null,null,null,null,null,null,null,null,null,null,null,null,5.15143244970067,5.15143244970067,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,0,0,0,0,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.75979298847516,1.75979298847516,1.00000000000001,1.00000000000001,1,1,1,4.4932605678347,4.4932605678347,5.90516308762873,5.90516308762873,5,5,5,5,5.99999999999997,5.99999999999997,6,6,5.65090273686872,5.65090273686872,5.65090273686872,5.1254973754001,5.1254973754001,6,6,6,6,5.99999999999999,5.99999999999999,5.99999999999999,5.02470350917114,5.02470350917114,7,7,6.275503904419,6.275503904419,6.275503904419,6.11550836749023,6.11550836749023,6.99999999999998,6.99999999999998,6.99999999999998,6.0340754762064,6.0340754762064,7.57533633149672,7.57533633149672,6.09472533596501,6.09472533596501,6.09472533596501,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000003,5.00000000000003,5.02631543710439,5.02631543710439,5.02631543710439,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,0,0,0,0,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.75979298847516,1.75979298847516,1.24160854252813,1.24160854252813,1,1,1,3.66217371188982,3.66217371188982,5,5,5,5,5,5,5.27783350512363,5.27783350512363,6,6,6,6,6,6,6,6,6,6,6,5.69174700713511,5.69174700713511,5.69174700713511,6.01235175458555,6.01235175458555,7,7,6.72449609558102,6.72449609558102,6.72449609558102,7,7,6.52942475003527,6.52942475003527,6.52942475003527,7,7,7,7,7,7,7,6,6,7,7,7,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.84856755029933,5.84856755029933,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,null,null,null,null,0,0,0,0,null,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.78634838135425,2,2,1.24160854252813,1.24160854252813,1.78215686223855,1.78215686223855,1.78215686223855,2,2,3.90516308762876,3.90516308762876,5,5,5,5,5.27783350512363,5.27783350512363,6,6,6,6,6,5.87450262459994,5.87450262459994,6,6,5.39510169323495,5.39510169323495,6,6,6,6.01235175458555,6.01235175458555,6.35668559562389,6.35668559562389,7,7,7,6.1155083674902,6.1155083674902,7,7,7,6.96592452379364,6.96592452379364,7,7,6.09472533596498,6.09472533596498,6.09472533596498,7,7,7,7,7,7,7,7,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.78634838135425,2,2,2.24160854252813,2.24160854252813,2,2,2,2,2,3.90516308762876,3.90516308762876,5,5,5,5,5.27783350512363,5.27783350512363,5.45197093658714,5.45197093658714,6,6,6,5.87450262459994,5.87450262459994,6,6,6,6,6,6,6,6.01235175458555,6.01235175458555,7,7,7,7,7,6,6,7,7,7,6.96592452379364,6.96592452379364,7,7,6.09472533596498,6.09472533596498,6.09472533596498,6.40736633768722,6.40736633768722,6.06947623966943,6.06947623966943,6.06947623966943,7,7,7,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,null,null,0,0,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.78634838135425,2.24020701152484,2.24020701152484,2.24160854252813,2.24160854252813,2,2,2,3,3,4.90516308762876,4.90516308762876,4.9956493775646,4.9956493775646,5,5,5.27783350512363,5.27783350512363,5.45197093658714,5.45197093658714,6,6,6,6,6,5.1226244485047,5.1226244485047,5.60489830676505,5.60489830676505,6,6,6,6.98764824541445,6.98764824541445,7,7,7,7,7,6.8844916325098,6.8844916325098,6.52942475003527,6.52942475003527,6.52942475003527,6.96592452379364,6.96592452379364,7,7,6,6,6,6.40736633768722,6.40736633768722,7,7,7,7,7,7,6,6,null,null,null,null,null,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.78634838135425,2.24020701152484,2.24020701152484,2,2,3,3,3,5,5,5,5,4,4,5,5,5.27783350512363,5.27783350512363,6,6,6,6,6,6,6,5.1226244485047,5.1226244485047,6,6,6.6917470071351,6.6917470071351,6.6917470071351,6.01235175458555,6.01235175458555,6.64331440437611,6.64331440437611,7,7,7,6.8844916325098,6.8844916325098,6.52942475003527,6.52942475003527,6.52942475003527,null,null,null,null,6,6,6,6.40736633768722,6.40736633768722,6.93052376033057,6.93052376033057,6.93052376033057,7.47430819382507,7.47430819382507,7.47430819382507,6.9617429080004,6.9617429080004,6,6,6,null,null,6,6,6,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.78634838135425,2.24020701152483,2.24020701152483,2,2,3.78215686223855,3.78215686223855,3.78215686223855,5,5,5,5,4,4,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6.98764824541445,6.98764824541445,6.64331440437611,6.64331440437611,7,7,7,7,7,null,null,null,null,null,null,null,null,null,null,6.40736633768722,6.40736633768722,7,7,7,7.47430819382507,7.47430819382507,7.47430819382507,7,7,null,null,null,null,null,7,7,7,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.5,5.5,5.5,5.5,5.5,5.5,null,null,null,6,6,6,7,7,5.28547587873929,5.28547587873929,5.28547587873929,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,null,0,0,0,null,null,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0.161970273284556,0.161970273284556,1.78634838135425,3.75979298847516,3.75979298847516,2.24160854252813,2.24160854252813,2,2,2,4,4,5,5,4,4,5,5,5.27783350512363,5.27783350512363,6,6,5.34909726313129,5.34909726313129,5.34909726313129,5.12549737540006,5.12549737540006,5.8773755514953,5.8773755514953,6,6,6,6,6,6.98764824541445,6.98764824541445,6.64331440437611,6.64331440437611,6.27550390441898,6.27550390441898,6.27550390441898,7,7,null,null,null,null,null,null,null,null,null,null,null,null,7,7,7,7.47430819382507,7.47430819382507,7.47430819382507,7,7,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.97368456289561,5.97368456289561,5.97368456289561,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.5991020456264,5.5991020456264,5.5991020456264,5.45537649651058,5.45537649651058,5.45537649651058,6,6,6,6,6,6,8,8,7.14273793936965,7.14273793936965,7.14273793936965,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1.78634838135425,3.75979298847516,3.75979298847516,3.24160854252813,3.24160854252813,3,3,3,4,4,5.90516308762876,5.90516308762876,4.0043506224354,4.0043506224354,5.87140263255679,5.87140263255679,5.27783350512363,5.27783350512363,6,6,5.34909726313129,5.34909726313129,5.34909726313129,5.12549737540006,5.12549737540006,6,6,6,6,6.3082529928649,6.3082529928649,6.3082529928649,7,7,6.64331440437611,6.64331440437611,6.27550390441898,6.27550390441898,6.27550390441898,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.47430819382507,6.47430819382507,6.47430819382507,6,6,null,null,null,null,null,null,null,null,6.51438207028864,6.51438207028864,6.51438207028864,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.97368456289561,5.97368456289561,5.97368456289561,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,6,6,6,5.45537649651058,5.45537649651058,5.45537649651058,5,5,5,6,6,6,8,8,8,8,8,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0.91479486498983,0.91479486498983,1,1,1.78634838135425,3.75979298847516,3.75979298847516,3.24160854252813,3.24160854252813,4,4,4,4,4,5,5,4.0043506224354,4.0043506224354,5,5,6,6,6,6,6,6,6,5,5,6,6,6.39510169323495,6.39510169323495,6,6,6,7,7,6.64331440437611,6.64331440437611,6.27550390441898,6.27550390441898,6.27550390441898,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.48561792971136,6.48561792971136,6.48561792971136,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5.5991020456264,5.5991020456264,5.5991020456264,6,6,6,5,5,5,5.83727668034768,5.83727668034768,5.83727668034768,6,6,7,7,7,6.30245506294887,6.30245506294887,6.30245506294887,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1.78634838135425,3,3,3.7583914574719,3.7583914574719,4,4,4,5,5,5.9051630876288,5.9051630876288,5,5,5.12859736744321,5.12859736744321,5.72216649487637,5.72216649487637,6.00000000000004,6.00000000000004,5,5,5,5.12549737540003,5.12549737540003,6.12262444850471,6.12262444850471,6.60489830676504,6.60489830676504,7,7,7,7.00000000000004,7.00000000000004,7,7,6.27550390441898,6.27550390441898,6.27550390441898,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.00000000000004,7.00000000000004,7.00000000000004,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.15143244970067,5.15143244970067,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,6.00000000000004,6.00000000000004,6.00000000000004,5.54462350348945,5.54462350348945,5.54462350348945,5,5,5,5,5,5,5.01203189590649,5.01203189590649,5,5,5,5.69754493705113,5.69754493705113,5.69754493705113,4.99999999999996,4.99999999999996,4.99999999999996,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0.99999999999996,0.99999999999996,1.78634838135425,3,3,2.99999999999999,2.99999999999999,3.99999999999999,3.99999999999999,3.99999999999999,5,5,5,5,5,5,5.12859736744324,5.12859736744324,5.72216649487634,5.72216649487634,5.00000000000002,5.00000000000002,5.00000000000004,5.00000000000004,5.00000000000004,5.99999999999996,5.99999999999996,6.00000000000001,6.00000000000001,6.99999999999998,6.99999999999998,6.99999999999996,6.99999999999996,6.99999999999996,6.01235175458555,6.01235175458555,6.99999999999999,6.99999999999999,6.27550390441901,6.27550390441901,6.27550390441901,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.00000000000002,6.00000000000002,6.00000000000002,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.15143244970066,5.15143244970066,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.49999999999998,5.49999999999998,5.49999999999998,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5.6975449370511,5.6975449370511,5.6975449370511,5.99999999999998,5.99999999999998,5.99999999999998,5.50000000000001,5.50000000000001,5.50000000000001,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.78634838135425,3,3,2.75839145747187,2.75839145747187,3.78215686223855,3.78215686223855,3.78215686223855,5,5,5,5,5,5,5.87140263255679,5.87140263255679,5,5,5.45197093658714,5.45197093658714,6,6,6,5.12549737540006,5.12549737540006,6.1226244485047,6.1226244485047,6.39510169323495,6.39510169323495,6,6,6,6.01235175458555,6.01235175458555,6.64331440437611,6.64331440437611,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.48561792971136,6.48561792971136,6.48561792971136,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5.11422067291187,5.11422067291187,5.11422067291187,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5.46798076537576,5.46798076537576,5.46798076537576,5.64016747071252,5.64016747071252,5.64016747071252,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.78634838135428,2,2,2.75839145747187,2.75839145747187,3.78215686223855,3.78215686223855,3.78215686223855,5,5,5.90516308762876,5.90516308762876,5,5,5,5,5,5,5.45197093658714,5.45197093658714,6,6,6,5.87450262459993,5.87450262459993,6,6,6.39510169323495,6.39510169323495,6,6,6,6.01235175458555,6.01235175458555,6.64331440437611,6.64331440437611,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.48561792971138,6.48561792971138,6.48561792971138,5.99999999999996,5.99999999999996,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6,6,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,5,5,5,4.45537649651055,4.45537649651055,4.45537649651055,5,5,5,5,5,5,5,5,6.00000000000004,6.00000000000004,6.00000000000004,5,5,5,5,5,5,6.00000000000002,6.00000000000002,6.00000000000002,4.99999999999999,4.99999999999999,4.99999999999999,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,0,null,null,0,0,0,0,0,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2.75839145747187,2.75839145747187,3.78215686223855,3.78215686223855,3.78215686223855,5,5,5.90516308762876,5.90516308762876,5,5,5,5,5,5,5.45197093658714,5.45197093658714,6,6,6,6,6,6,6,6.39510169323495,6.39510169323495,6,6,6,6.01235175458555,6.01235175458555,6.64331440437611,6.64331440437611,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,7,7,null,null,null,null,null,null,6.5,6.5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5.35983252928748,5.35983252928748,5.35983252928748,5.18014251096194,5.18014251096194,5.18014251096194,5.5,5.5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2.75979298847516,2.75979298847516,3,3,4,4,4,5,5,4.90516308762876,4.90516308762876,5,5,5,5,5,5,6,6,6,6,6,6,6,6.8773755514953,6.8773755514953,6.39510169323495,6.39510169323495,6.6917470071351,6.6917470071351,6.6917470071351,6,6,6.64331440437611,6.64331440437611,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,null,null,null,null,null,null,7,7,null,null,null,null,null,null,6.21250627830522,6.21250627830522,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5.8032317398746,5.8032317398746,5.8032317398746,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,4.5991020456264,4.5991020456264,4.5991020456264,6,6,6,6,6,6,5,5,5,6,6,5,5,5,5.30245506294887,5.30245506294887,5.30245506294887,5,5,5,5,5,5,5,5,5,5.99211819398118,5.99211819398118,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,0,null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.00000000000003,2.75979298847516,2.75979298847516,3.24160854252816,3.24160854252816,4,4,4,5.16891314405509,5.16891314405509,5.81032617525749,5.81032617525749,5,5,5.87140263255676,5.87140263255676,5.72216649487635,5.72216649487635,6,6,6,6,6,6.00000000000003,6.00000000000003,6.87737555149526,6.87737555149526,6,6,6.69174700713508,6.69174700713508,6.69174700713508,6.00000000000004,6.00000000000004,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,7,7,7,null,null,null,6.00000000000004,6.00000000000004,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5.80323173987458,5.80323173987458,5.80323173987458,5.00000000000001,5.00000000000001,5.00000000000001,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5.00000000000003,5.00000000000003,5.00000000000003,5,5,5,5.4553764965106,5.4553764965106,5.4553764965106,6,6,6,5.16272331965231,5.16272331965231,5.16272331965231,5,5,5.00000000000001,5.00000000000001,5.00000000000001,5.69754493705111,5.69754493705111,5.69754493705111,5.00000000000002,5.00000000000002,5.00000000000002,4.99999999999997,4.99999999999997,4.99999999999997,5,5,5,5,5,5.99999999999999,5.99999999999999,5.99999999999999,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,null,null,null,null,null,0,0,0,0,0,null,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.78634838135422,2.75979298847516,2.75979298847516,4,4,4.00000000000003,4.00000000000003,4.00000000000003,5.16891314405509,5.16891314405509,4.90516308762877,4.90516308762877,5,5,5.1285973674432,5.1285973674432,5.27783350512366,5.27783350512366,5.99999999999998,5.99999999999998,5.99999999999999,5.99999999999999,5.99999999999999,6.8745026245999,6.8745026245999,6,6,6.00000000000004,6.00000000000004,6,6,6,6.99999999999996,6.99999999999996,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.99999999999997,6.99999999999997,7.00000000000001,7.00000000000001,7.00000000000001,null,null,null,6.99999999999996,6.99999999999996,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.19676826012543,5.19676826012543,5.19676826012543,5.36077095663234,5.36077095663234,5.36077095663234,5,5,5,5,5,5,5,5,5,5,5,4.99999999999997,4.99999999999997,4.99999999999997,5.74227406062202,5.74227406062202,5.74227406062202,5.00000000000002,5.00000000000002,5.00000000000002,6,6,6,6,6,6,5,5,5,5,5,5.14273793936965,5.14273793936965,5.14273793936965,5.30245506294886,5.30245506294886,5.30245506294886,5.53201923462424,5.53201923462424,5.53201923462424,4.35983252928747,4.35983252928747,4.35983252928747,5,5,5,5,5,5.79494108638231,5.79494108638231,5.79494108638231,4.99999999999998,4.99999999999998,4.99999999999998,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.00000000000003,2.75979298847517,2.75979298847517,4.00000000000003,4.00000000000003,4.78215686223856,4.78215686223856,4.78215686223856,5.16891314405508,5.16891314405508,5,5,5.00000000000004,5.00000000000004,5.00000000000004,5.00000000000004,5.99999999999999,5.99999999999999,5.45197093658716,5.45197093658716,5.6509027368687,5.6509027368687,5.6509027368687,6,6,6,6,7,7,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.14262492236844,6.14262492236844,7.18347156243115,7.18347156243115,7.18347156243115,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000004,5.00000000000004,5.00000000000004,5.99999999999997,5.99999999999997,5.99999999999997,5,5,5,5,5,5,5,5,5,5,5,5,5,5,4.22844134582378,4.22844134582378,4.22844134582378,5.25772593937795,5.25772593937795,5.25772593937795,5.59910204562638,5.59910204562638,5.59910204562638,5.99999999999998,5.99999999999998,5.99999999999998,6,6,6,5,5,5,5,5,5.14273793936964,5.14273793936964,5.14273793936964,5.00000000000001,5.00000000000001,5.00000000000001,5.46798076537574,5.46798076537574,5.46798076537574,4.00000000000007,4.00000000000007,4.00000000000007,5,5,5,5,5,4.99999999999997,4.99999999999997,4.99999999999997,4.41219368573636,4.41219368573636,4.41219368573636,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.78634838135425,3,3,4.75839145747187,4.75839145747187,5,5,5,5,5,5,5,5.99564937756464,5.99564937756464,6,6,5.72216649487637,5.72216649487637,6.00000000000002,6.00000000000002,5.34909726313127,5.34909726313127,5.34909726313127,6,6,null,null,7.00000000000004,7.00000000000004,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999996,5.99999999999996,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4.99999999999996,4.99999999999996,5.99999999999996,5.99999999999996,5.99999999999996,5.19676826012537,5.19676826012537,5.19676826012537,4.99999999999999,4.99999999999999,4.99999999999999,5,5,5,5,5,5,4.99999999999997,4.99999999999997,4.99999999999997,5,5,5,5,5,5,5,5,5,5,5,5.45537649651058,5.45537649651058,5.45537649651058,6,6,6,5,5,5,5,5,5,5,5,5.30245506294887,5.30245506294887,5.30245506294887,5,5,5,5.64016747071252,5.64016747071252,5.64016747071252,5,5,5,5,5,4.20505891361763,4.20505891361763,4.20505891361763,4.99999999999998,4.99999999999998,4.99999999999998,4.99999999999996,4.99999999999996,4.99999999999996,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,0,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.78634838135425,3.00000000000003,3.00000000000003,4.75839145747188,4.75839145747188,5,5,5,4.99999999999999,4.99999999999999,5,5,5,5,5.87140263255679,5.87140263255679,5.7221664948764,5.7221664948764,5.45197093658714,5.45197093658714,6,6,6,5.99999999999996,5.99999999999996,6,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.00000000000004,7.00000000000004,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6.97368456289561,6.97368456289561,6.97368456289561,6,6,6,5.36077095663234,5.36077095663234,5.36077095663234,4.99999999999998,4.99999999999998,4.99999999999998,5,5,5,5.82266720216917,5.82266720216917,5.82266720216917,5.03050411358181,5.03050411358181,5,5,5,5,5,5,5,5,5,5.45537649651058,5.45537649651058,5.45537649651058,6,6,6,4.99999999999997,4.99999999999997,4.99999999999997,5.01203189590649,5.01203189590649,5,5,5,5.30245506294888,5.30245506294888,5.30245506294888,5,5,5,5.64016747071252,5.64016747071252,5.64016747071252,5,5,5,5,5,5.00000000000003,5.00000000000003,5.00000000000003,5.58780631426372,5.58780631426372,5.58780631426372,6,6,6,4.99999999999997,4.99999999999997,4.99999999999997,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.78634838135425,2.24020701152483,2.24020701152483,4.51678291494374,4.51678291494374,5,5,5,5.16891314405508,5.16891314405508,5.00000000000003,5.00000000000003,5,5,5.87140263255676,5.87140263255676,5.00000000000004,5.00000000000004,5.45197093658716,5.45197093658716,6,6,6,6.8745026245999,6.8745026245999,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.99999999999999,6.99999999999999,6.99999999999999,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.49999999999999,6.49999999999999,6.49999999999999,6,6,7,7,7,6.00000000000001,6.00000000000001,6.00000000000001,5.63922904336762,5.63922904336762,5.63922904336762,5.51917827125169,5.51917827125169,5.51917827125169,5.00000000000004,5.00000000000004,5.00000000000004,5.8226672021693,5.8226672021693,5.8226672021693,5.96949588641812,5.96949588641812,5.00000000000004,5.00000000000004,5.00000000000004,5,5,5,5,5,5,5.45537649651056,5.45537649651056,5.45537649651056,6,6,6,5.83727668034765,5.83727668034765,5.83727668034765,5.01203189590648,5.01203189590648,5,5,5,5,5,5,5,5,5,5.64016747071253,5.64016747071253,5.64016747071253,5.00000000000004,5.00000000000004,5.00000000000004,5,5,4.20505891361769,4.20505891361769,4.20505891361769,4.17561262852735,4.17561262852735,4.17561262852735,5.99999999999996,5.99999999999996,5.99999999999996,5.85948122488563,5.85948122488563,5.85948122488563,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,null,null,null,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,null,0,null,null,null,null,null,null,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.78634838135425,2,2,4.75839145747187,4.75839145747187,5,5,5,5,5,5.90516308762876,5.90516308762876,5.0043506224354,5.0043506224354,5.12859736744321,5.12859736744321,6,6,6,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.81652843756884,6.81652843756884,6.81652843756884,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.33730931017422,6.33730931017422,6.33730931017422,6,6,6.97368456289561,6.97368456289561,6.97368456289561,6.1967682601254,6.1967682601254,6.1967682601254,5,5,5,5,5,5,6,6,6,9,9,9,5.03050411358184,5.03050411358184,6,6,6,5,5,5,5,5,5,5,5,5,6,6,6,5,5,5,5.01203189590649,5.01203189590649,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,5,5,5,5,5,4.41219368573633,4.41219368573633,4.41219368573633,5,5,5,6,6,6,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,null,null,null,5,5,5,5,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.99999999999996,2.75979298847511,2.75979298847511,4.75839145747184,4.75839145747184,5,5,5,3.99999999999996,3.99999999999996,4.90516308762876,4.90516308762876,5,5,5.00000000000004,5.00000000000004,5.27783350512363,5.27783350512363,6,6,5.34909726313132,5.34909726313132,5.34909726313132,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,5.81652843756885,5.81652843756885,5.81652843756885,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.33730931017421,6.33730931017421,6.33730931017421,6.8485675502993,6.8485675502993,6.97368456289557,6.97368456289557,6.97368456289557,5.99999999999996,5.99999999999996,5.99999999999996,5.63922904336768,5.63922904336768,5.63922904336768,7.00000000000002,7.00000000000002,7.00000000000002,6.32714650008388,6.32714650008388,6.32714650008388,6.99999999999993,6.99999999999993,6.99999999999993,5.06100822716373,5.06100822716373,5.99999999999996,5.99999999999996,5.99999999999996,5,5,5,5.59910204562638,5.59910204562638,5.59910204562638,5.00000000000002,5.00000000000002,5.00000000000002,6,6,6,5,5,5,5.00000000000004,5.00000000000004,5.00000000000003,5.00000000000003,5.00000000000003,5.00000000000003,5.00000000000003,5.00000000000003,5.00000000000002,5.00000000000002,5.00000000000002,5,5,5,5,5,5,5.99211819398114,5.99211819398114,4.20505891361772,4.20505891361772,4.20505891361772,4.41219368573636,4.41219368573636,4.41219368573636,4.36992369771197,4.36992369771197,4.36992369771197,6.14051877511433,6.14051877511433,6.14051877511433,5.10116622700077,5.10116622700077,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,null,5,5,4.00000000000004,4.00000000000004,5,5,5,5,5,5,null,null,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,0,0,null,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.5195859769503,1.5195859769503,4.00000000000002,4.00000000000002,4.99999999999997,4.99999999999997,4.99999999999997,3,3,4.90516308762876,4.90516308762876,4.99564937756464,4.99564937756464,5.99999999999996,5.99999999999996,5.27783350512366,5.27783350512366,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,5.99999999999996,5.99999999999996,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.00000000000001,6.00000000000001,6.00000000000001,6.00000000000003,6.00000000000003,5.99999999999996,5.99999999999996,5.99999999999996,5,5,5,6.63922904336762,6.63922904336762,6.63922904336762,7.51917827125165,7.51917827125165,7.51917827125165,5.67285349991607,5.67285349991607,5.67285349991607,5.17733279783082,5.17733279783082,5.17733279783082,5.99999999999996,5.99999999999996,5.11422067291191,5.11422067291191,5.11422067291191,5.00000000000004,5.00000000000004,5.00000000000004,5,5,5,5.54462350348944,5.54462350348944,5.54462350348944,5.99999999999996,5.99999999999996,5.99999999999996,5.00000000000003,5.00000000000003,5.00000000000003,5.98796810409347,5.98796810409347,5.85726206063036,5.85726206063036,5.85726206063036,5.69754493705113,5.69754493705113,5.69754493705113,5.53201923462424,5.53201923462424,5.53201923462424,5,5,5,5,5,5,5.00788180601882,5.00788180601882,5.79494108638231,5.79494108638231,5.79494108638231,5,5,5,5.36992369771192,5.36992369771192,5.36992369771192,5,5,5,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,null,null,null,null,null,4.99999999999996,4.99999999999996,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,null,0,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.759792988475165,0.759792988475165,4.51678291494373,4.51678291494373,4.21784313776145,4.21784313776145,4.21784313776145,3,3,4.90516308762876,4.90516308762876,5.9956493775646,5.9956493775646,5.12859736744321,5.12859736744321,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.33730931017422,6.33730931017422,6.33730931017422,6.69713510059867,6.69713510059867,5,5,5,5,5,5,6,6,6,6,6,6,5,5,5,5,5,5,5.03050411358184,5.03050411358184,5.88577932708812,5.88577932708812,5.88577932708812,6,6,6,5,5,5,6,6,6,5,5,5,5.83727668034768,5.83727668034768,5.83727668034768,5,5,6,6,6,5.69754493705113,5.69754493705113,5.69754493705113,5.53201923462424,5.53201923462424,5.53201923462424,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,null,null,4,4,null,null,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,null,0,null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.5195859769504,1.5195859769504,4.75839145747188,4.75839145747188,4.21784313776148,4.21784313776148,4.21784313776148,3.00000000000008,3.00000000000008,5.90516308762877,5.90516308762877,5.00435062243544,5.00435062243544,5.99999999999996,5.99999999999996,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.00000000000004,6.00000000000004,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.67461862034841,6.67461862034841,6.67461862034841,6.84856755029934,6.84856755029934,6.00000000000004,6.00000000000004,6.00000000000004,6,6,6,6.6392290433676,6.6392290433676,6.6392290433676,5.00000000000002,5.00000000000002,5.00000000000002,5.00000000000003,5.00000000000003,5.00000000000003,6,6,6,6,6,6,6,6,5.99999999999996,5.99999999999996,5.99999999999996,5.99999999999998,5.99999999999998,5.99999999999998,5.99999999999998,5.99999999999998,5.99999999999998,5,5,5,5,5,5,5,5,5.00000000000003,5.00000000000003,5.00000000000003,5.00000000000004,5.00000000000004,5.00000000000004,5,5,5,5.64016747071249,5.64016747071249,5.64016747071249,5,5,5,6,6,5.00000000000004,5.00000000000004,5.00000000000004,5,5,5,5,5,5,5,5,5,5.89883377299923,5.89883377299923,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.50000000000002,5.50000000000002,5,5,5,null,null,5,5,5,5,5,5,5,5,5,5,5,null,null,5,5,5,5,4.00000000000004,4.00000000000004,4.99999999999986,4.99999999999986,4.99999999999991,4.99999999999994,4.99999999999994,4.9999999999998,4.9999999999998,4.9999999999998,4.9999999999998,3.99999999999988,3.99999999999988,4.9999999999999,4.9999999999999,4.99999999999998,4.99999999999998,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,0,0,null,null,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3.15684783533598e-14,3.2793789654255,3.2793789654255,5,5,5,5,5,5.00000000000004,5.00000000000004,5.99999999999996,5.99999999999996,5.99999999999996,5.99999999999996,5.12859736744324,5.12859736744324,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,null,null,null,null,null,null,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.01192793052267,6.01192793052267,6.01192793052267,7,7,6.97368456289557,6.97368456289557,6.97368456289557,5.99999999999997,5.99999999999997,5.99999999999997,5.63922904336762,5.63922904336762,5.63922904336762,5.48082172874829,5.48082172874829,5.48082172874829,5.65429300016786,5.65429300016786,5.65429300016786,6,6,6,5.99999999999996,5.99999999999996,5.99999999999996,5.99999999999996,5.99999999999996,5,5,5,5.40089795437358,5.40089795437358,5.40089795437358,5.54462350348942,5.54462350348942,5.54462350348942,5,5,5,5,5,5,5,5,5.85726206063035,5.85726206063035,5.85726206063035,6,6,6,5,5,5,5,5,5,5,5,5,5.99211819398118,5.99211819398118,6,6,6,5.00000000000002,5.00000000000002,5.00000000000002,5,5,5,4.99999999999999,4.99999999999999,4.99999999999999,5,5,5.00000000000004,5.00000000000004,5.00000000000004,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5.93017499464014,5.93017499464014,5,5,5,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,5,5,5,5,1.66831708548927,1.66831708548927,2.82129613239321,3.42767000969148,3.42767000969148,0,0,3.81317641314576e-14,3.81317641314576e-14,1.00000000000003,1.00000000000003,2.60948333907472,2.60948333907472,4.59772404889946,4.59772404889946,4.99999999999999,4.50000000000002,4.50000000000002,null,null,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.78634838135425,3.51958597695033,3.51958597695033,5,5,5,5,5,6,6,5.09483691237124,5.09483691237124,5,5,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.5,6.5,6.5,6.33730931017422,6.33730931017422,6.33730931017422,7,7,6,6,6,5.1967682601254,5.1967682601254,5.1967682601254,5,5,5,5.51917827125171,5.51917827125171,5.51917827125171,7,7,7,6,6,6,5.03050411358184,5.03050411358184,5,5,5,5,5,5,5,5,5,5.54462350348942,5.54462350348942,5.54462350348942,5,5,5,5,5,5,5.01203189590649,5.01203189590649,5.85726206063035,5.85726206063035,5.85726206063035,6,6,6,5,5,5,5,5,5,5,5,5,5.99211819398118,5.99211819398118,6,6,6,5.58780631426367,5.58780631426367,5.58780631426367,5,5,5,4.85948122488562,4.85948122488562,4.85948122488562,5,5,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.5,5.5,5,5,5.93017499464015,5.93017499464015,5,5,5,5,5,5,5,5,5,5,5,5,5,4.5,4.5,4.5,4.5,4.5,5,5,5,5,5,5,2,2,4.27376537746438,4.23689334625526,4.23689334625526,0,0,0.949835169985712,0.949835169985712,1.79203890287482,1.79203890287482,1.60948333907476,1.60948333907476,4.40227595110053,4.40227595110053,4.82946510703269,4.91438845530882,4.91438845530882,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,null,0,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4.75979298847516,4.75979298847516,5,5,4,4,4,4,4,4.90516308762876,4.90516308762876,5.0043506224354,5.0043506224354,6,6,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.53213684693884,6.53213684693884,6.53213684693884,6,6,6,7,7,6.02631543710439,6.02631543710439,6.02631543710439,5.1967682601254,5.1967682601254,5.1967682601254,6,6,6,5,5,5,6.6728534999161,6.6728534999161,6.6728534999161,6,6,6,5.03050411358184,5.03050411358184,5,5,5,5,5,5,5,5,5,5.45537649651058,5.45537649651058,5.45537649651058,5,5,5,5,5,5,5.98796810409351,5.98796810409351,5.85726206063035,5.85726206063035,5.85726206063035,6,6,6,6,6,6,5.64016747071252,5.64016747071252,5.64016747071252,5,5,5,5,5,5,5,5,5.41219368573633,5.41219368573633,5.41219368573633,5,5,5,4.57844367465687,4.57844367465687,4.57844367465687,4.89883377299927,4.89883377299927,5.35587148110993,5.35587148110993,5.35587148110993,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.51272210718563,5.51272210718563,6,6,5,5,5.31186944588578,5.31186944588578,5.31186944588578,5,5,5,5,5,5,5,5,5,5,4.75588741664776,4.75588741664776,4.75588741664776,4.68805580613408,4.68805580613408,5,5,5,5,4.36448366538046,4.36448366538046,5,5,4.45246924507123,3.19077666343618,3.19077666343618,4.83444819330787,4.83444819330787,4.89967033997142,4.89967033997142,5,5,5,5,5,5,5,5,5,4.63397453040641,4.63397453040641,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3.67250478006469e-14,3.67250478006469e-14,0.99999999999996,0.99999999999996,2.78634838135422,4.75979298847513,4.75979298847513,4.24160854252812,4.24160854252812,4,4,4,4.00000000000001,4.00000000000001,5,5,5.99564937756456,5.99564937756456,5.1285973674432,5.1285973674432,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.99999999999996,6.99999999999996,6.99999999999996,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.53213684693882,7.53213684693882,7.53213684693882,6.00000000000004,6.00000000000004,6.00000000000004,6.8485675502993,6.8485675502993,6,6,6,6.39353652025078,6.39353652025078,6.39353652025078,5,5,5,5.48082172874835,5.48082172874835,5.48082172874835,6.6728534999161,6.6728534999161,6.6728534999161,5.82266720216915,5.82266720216915,5.82266720216915,6,6,5,5,5,5,5,5,5.00000000000002,5.00000000000002,5.00000000000002,5.45537649651058,5.45537649651058,5.45537649651058,5.00000000000001,5.00000000000001,5.00000000000001,5,5,5,5,5,5.99999999999996,5.99999999999996,5.99999999999996,5.3024550629489,5.3024550629489,5.3024550629489,6,6,6,5,5,5,5.00000000000004,5.00000000000004,5.00000000000004,5.99211819398118,5.99211819398118,5.79494108638234,5.79494108638234,5.79494108638234,5,5,5,5.00000000000003,5.00000000000003,5.00000000000003,3.71896244977129,3.71896244977129,3.71896244977129,3.8988337729993,3.8988337729993,6.35587148110996,6.35587148110996,6.35587148110996,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.50000000000002,5.50000000000002,6,6,6,5.99999999999998,5.99999999999998,6,6,5.06982500535985,5.06982500535985,5.99999999999999,5.99999999999999,5.99999999999999,5,5,5,5,5,5,5,5,4.99999999999999,4.99999999999999,5,5,5,5,5,4.35462348157331,4.35462348157331,4.37213612581214,4.37213612581214,4.36448366538048,4.36448366538048,4.99999999999995,4.99999999999995,4.17870386760685,2.99999999999999,2.99999999999999,4.99999999999985,4.99999999999985,5.00000000000004,5.00000000000004,5,5,4.60948333907476,4.60948333907476,5,5,4.99999999999999,4.99999999999996,4.99999999999996,5,5,4.49999999999999,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,0,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.91479486498983,0.91479486498983,0,0,2,4,4,4,4,4,4,4,4.16891314405509,4.16891314405509,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,7,7,7,7,null,null,6,6,6,6,6,6,5,5,5,7,7,7,6.6728534999161,6.6728534999161,6.6728534999161,5.17733279783083,5.17733279783083,5.17733279783083,6,6,5,5,5,5,5,5,5.5991020456264,5.5991020456264,5.5991020456264,5.45537649651058,5.45537649651058,5.45537649651058,5.31021148640252,5.31021148640252,5.31021148640252,5,5,5,5,5,5,5,5,6,6,6,6,6,6,5,5,5,6,6,6,6,6,5.79494108638234,5.79494108638234,5.79494108638234,5,5,5,5.63007630228807,5.63007630228807,5.63007630228807,5,5,5,4.79766754599853,4.79766754599853,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5.85958770538594,5.85958770538594,6,6,6,5.48727789281437,5.48727789281437,6,6,5.06982500535985,5.06982500535985,5.68813055411422,5.68813055411422,5.68813055411422,5,5,5,5,5,5,4.96686754617886,4.96686754617886,4.84884058900208,4.84884058900208,5,5,5,5,5,5,5,5,5,5,5,3.66831708548926,3.66831708548926,4.17870386760685,2.80922333656382,2.80922333656382,1.33110361338427,1.33110361338427,5.94983516998571,5.94983516998571,5,5,4.60948333907476,4.60948333907476,5,5,4.82946510703269,4,4,null,null,4.32944008787516,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0165879702514806,0.0165879702514806,0.0852051350101697,0.0852051350101697,0,0,1,3.24020701152484,3.24020701152484,3.75839145747187,3.75839145747187,3,3,3,3.83108685594491,3.83108685594491,5,5,5.0043506224354,5.0043506224354,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.50670420031286,6.50670420031286,6.50670420031286,6.78749372169477,6.78749372169477,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,7,null,null,6,6,6,6.1967682601254,6.1967682601254,6.1967682601254,7.63922904336764,7.63922904336764,7.63922904336764,7,7,7,6,6,6,6,6,6,6,6,5,5,5,5,5,5,5,5,5,5.45537649651058,5.45537649651058,5.45537649651058,5.31021148640252,5.31021148640252,5.31021148640252,5,5,5,5,5,5.85726206063035,5.85726206063035,5.85726206063035,6,6,6,6,6,6,5,5,5,6,6,6,6,6,6,6,6,5.41219368573633,5.41219368573633,5.41219368573633,5.36992369771193,5.36992369771193,5.36992369771193,5.85948122488562,5.85948122488562,5.85948122488562,4.89883377299927,4.89883377299927,6.64412851889007,6.64412851889007,6.64412851889007,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,4.99516973149881,4.99516973149881,4.99516973149881,6,6,6,6,6,6,6,6,6,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,4.31194419386592,4.31194419386592,5,5,5,5,5,5,4.33663417097851,4.33663417097851,4.72623462253562,3.80922333656382,3.80922333656382,3.16555180669213,3.16555180669213,5,5,5.20796109712518,5.20796109712518,4.60948333907476,4.60948333907476,5,5,5,5,5,null,null,4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0165879702514799,0.0165879702514799,0.0852051350101663,0.0852051350101663,0,0,2.57269676270848,2.99999999999999,2.99999999999999,2.99999999999997,2.99999999999997,2.78215686223851,2.78215686223851,2.78215686223851,3.00000000000007,3.00000000000007,5.09483691237124,5.09483691237124,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.99999999999998,6.99999999999998,6.99999999999998,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.00000000000005,7.00000000000005,7.00000000000005,5.50000000000001,5.50000000000001,5.99999999999996,5.99999999999996,5.99999999999996,7.1967682601254,7.1967682601254,7.1967682601254,7,7,7,6.99999999999998,6.99999999999998,6.99999999999998,6,6,6,6,6,6,5.96949588641816,5.96949588641816,5,5,5,5,5,5,5,5,5,5.99999999999996,5.99999999999996,5.99999999999996,5.3102114864025,5.3102114864025,5.3102114864025,5.00000000000003,5.00000000000003,5.00000000000003,5,5,6,6,6,6,6,6,5.99999999999998,5.99999999999998,5.99999999999998,5,5,5,5,5,5,6,6,5.79494108638235,5.79494108638235,5.79494108638235,5.00000000000002,5.00000000000002,5.00000000000002,4.99999999999994,4.99999999999994,4.99999999999994,5.85948122488559,5.85948122488559,5.85948122488559,4.99999999999996,4.99999999999996,5.64412851889003,5.64412851889003,5.64412851889003,6.00000000000002,6.00000000000002,6.00000000000002,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.49999999999999,5.49999999999999,5.49999999999999,6,6,5.00000000000004,5.00000000000004,5.00000000000004,5.00000000000007,5.00000000000007,5.00000000000008,5.00000000000008,5.00000000000008,5.00000000000008,5.00000000000008,5.00000000000004,5.00000000000004,5.49758486574942,5.49758486574942,5.49758486574942,6.14041229461406,6.14041229461406,6,6,6,5.51272210718563,5.51272210718563,6,6,5.06982500535985,5.06982500535985,5,5,5,5.52935375871438,5.52935375871438,5.00000000000004,5.00000000000004,5.00000000000003,5.00000000000003,5,5,5.15115941099791,5.15115941099791,5.00000000000001,5.00000000000001,5.00000000000001,5.00000000000003,5.00000000000003,5.00000000000001,5.00000000000001,5,5,5.63551633461953,5.63551633461953,4.66831708548927,4.66831708548927,5.72623462253563,5,5,5,5,5,5,5.20796109712518,5.20796109712518,5,5,5,5,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2.75979298847516,2.75979298847516,2.24160854252813,2.24160854252813,1.78215686223855,1.78215686223855,1.78215686223855,4.66217371188982,4.66217371188982,5.09483691237124,5.09483691237124,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.49329579968714,6.49329579968714,6.49329579968714,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8.32538137965156,8.32538137965156,8.32538137965156,5.84856755029933,5.84856755029933,5,5,5,7.1967682601254,7.1967682601254,7.1967682601254,7,7,7,6.48082172874829,6.48082172874829,6.48082172874829,6,6,6,6,6,6,5.96949588641816,5.96949588641816,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5.83727668034768,5.83727668034768,5.83727668034768,5.01203189590649,5.01203189590649,6,6,6,6,6,6,5.46798076537576,5.46798076537576,5.46798076537576,5,5,5,5,5,5,6,6,6,6,6,5.58780631426367,5.58780631426367,5.58780631426367,3.63007630228807,3.63007630228807,3.63007630228807,5,5,5,4,4,4.64412851889007,4.64412851889007,4.64412851889007,6.62431870499361,6.62431870499361,6.62431870499361,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5.32991696690543,5.32991696690543,5.32991696690543,6,6,6,6,6,6.81988669003999,6.81988669003999,7,7,7,7,7,6.11230984808641,6.11230984808641,6,6,6,6,6,6,6,6,5.51272210718563,5.51272210718563,6,6,5,5,5,5,5,5.47064624128562,5.47064624128562,6,6,5.89009707352663,5.89009707352663,5,5,5,5,5.24411258335224,5.24411258335224,5.24411258335224,5.68805580613408,5.68805580613408,5.35462348157328,5.35462348157328,5,5,5.36448366538046,5.36448366538046,5,5,6,5,5,5.08277590334607,5.08277590334607,5.05016483001429,5.05016483001429,5.20796109712518,5.20796109712518,5,5,5,5,5,5,5,null,null,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.78634838135425,2.51958597695033,2.51958597695033,2,2,1.78215686223855,1.78215686223855,1.78215686223855,4.83108685594491,4.83108685594491,5.90516308762876,5.90516308762876,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8.32538137965156,8.32538137965156,8.32538137965156,5.84856755029933,5.84856755029933,5.97368456289561,5.97368456289561,5.97368456289561,7,7,7,7,7,7,6.48082172874829,6.48082172874829,6.48082172874829,6,6,6,6,6,6,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5.83727668034768,5.83727668034768,5.83727668034768,5.01203189590649,5.01203189590649,6,6,6,6,6,6,5.46798076537576,5.46798076537576,5.46798076537576,5,5,5,5,5,5,6,6,6,6,6,5,5,5,4.63007630228807,4.63007630228807,4.63007630228807,5,5,5,4.10116622700073,4.10116622700073,4.64412851889007,4.64412851889007,4.64412851889007,7,7,7,6.5,6.5,6.5,5.5,5.5,5,5,5,null,null,null,5.5,5.5,6.5,6.5,6.5,7.5,7.5,8.5,8.5,8.5,5,5,5,5,5,6,6,6,6,6,7,7,7,6.18011330996,6.18011330996,6.72686582868486,6.72686582868486,6.72686582868486,6.70405462772165,6.70405462772165,7,7,7,7,7,6,6,6,6,6,5.51272210718563,5.51272210718563,6,6,6,6,6,6,6,5,5,6,6,5,5,5,5,6,6,5,5,5,5,5,5,5,5,5,5,5,5.66831708548925,5.66831708548925,5.72623462253562,5.19077666343618,5.19077666343618,5.91722409665393,5.91722409665393,5.94983516998571,5.94983516998571,5,5,5.39051666092524,5.39051666092524,5.40227595110053,5.40227595110053,5,5.91438845530882,5.91438845530882,null,null,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3.78215686223855,3.78215686223855,3.78215686223855,5.83108685594491,5.83108685594491,null,null,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.50670420031286,5.50670420031286,5.50670420031286,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,8.33730931017422,8.33730931017422,8.33730931017422,6.84856755029933,6.84856755029933,7.97368456289561,7.97368456289561,7.97368456289561,8,8,8,7,7,7,6.48082172874829,6.48082172874829,6.48082172874829,6,6,6,5,5,5,6,6,5,5,5,5,5,5,5.4008979543736,5.4008979543736,5.4008979543736,5.45537649651058,5.45537649651058,5.45537649651058,5,5,5,5.83727668034768,5.83727668034768,5.83727668034768,5,5,5.85726206063035,5.85726206063035,5.85726206063035,6,6,6,5,5,5,5,5,5,5,5,5,6,6,6,6,6,5.58780631426367,5.58780631426367,5.58780631426367,5,5,5,5,5,5,5.89883377299927,5.89883377299927,3.35587148110993,3.35587148110993,3.35587148110993,6.37568129500639,6.37568129500639,6.37568129500639,6.90721036900171,6.90721036900171,6.90721036900171,5.20522896574201,5.20522896574201,5,5,5,6,6,6,5.80344193986653,5.80344193986653,6.43851222614495,6.43851222614495,6.43851222614495,7.05536386436041,7.05536386436041,8.34655402619604,8.34655402619604,8.34655402619604,7.76776903368617,7.76776903368617,7.76776903368617,7.7912147657597,7.7912147657597,8.32991696690543,8.32991696690543,8.32991696690543,7.15211906474306,7.15211906474306,4.65532615028533,4.65532615028533,4.65532615028533,5,5,2.45373165736972,2.45373165736972,2.45373165736972,2,2,4.11230984808641,4.11230984808641,5.5024151342506,5.5024151342506,5.5024151342506,5,5,5,5,5,5.51272210718563,5.51272210718563,6.60676369666906,6.60676369666906,6.06982500535985,6.06982500535985,6.68813055411422,6.68813055411422,6.68813055411422,6,6,6,6,6,6,5.03313245382114,5.03313245382114,6,6,5,5,5,5.31194419386592,5.31194419386592,6,6,6,6,5.63551633461954,5.63551633461954,6,6,5.27376537746438,5.80922333656382,5.80922333656382,6,6,6,6,5.79203890287482,5.79203890287482,6,6,6,6,5.82946510703269,5,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.99999999999996,1.99999999999996,1,1,1,2.51678291494373,2.51678291494373,3.78215686223859,3.78215686223859,3.78215686223859,5.99999999999997,5.99999999999997,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000004,5.00000000000004,5.00000000000004,5.99999999999996,5.99999999999996,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8.33730931017418,8.33730931017418,8.33730931017418,7,7,8.02631543710443,8.02631543710443,8.02631543710443,8,8,8,7,7,7,6.48082172874829,6.48082172874829,6.48082172874829,5.6728534999161,5.6728534999161,5.6728534999161,5,5,5,5.99999999999996,5.99999999999996,5,5,5,5,5,5,5.59910204562638,5.59910204562638,5.59910204562638,5.45537649651056,5.45537649651056,5.45537649651056,5,5,5,5.16272331965235,5.16272331965235,5.16272331965235,5.01203189590648,5.01203189590648,6,6,6,6,6,6,5.46798076537574,5.46798076537574,5.46798076537574,5,5,5,5,5,5,5,5,6,6,6,5,5,5,5,5,5,5,5,5,5.89883377299927,5.89883377299927,4.35587148110995,4.35587148110995,4.35587148110995,5.12704388501913,5.12704388501913,5.12704388501913,7.09278963099825,7.09278963099825,7.09278963099825,7.79477103425803,7.79477103425803,6.48096365670655,6.48096365670655,6.48096365670655,6.00000000000001,6.00000000000001,6.00000000000001,7.80344193986657,7.80344193986657,8,8,8,8.05536386436041,8.05536386436041,9.34655402619604,9.34655402619604,9.34655402619604,8.23223096631387,8.23223096631387,8.23223096631387,9.99999999999996,9.99999999999996,8.32991696690538,8.32991696690538,8.32991696690538,6.3042381294859,6.3042381294859,0.655326150285361,0.655326150285361,0.655326150285361,0.180113309959998,0.180113309959998,2.72686582868499,2.72686582868499,2.72686582868499,1.59189074455686,1.59189074455686,7.12738221624229e-14,7.12738221624229e-14,0.99999999999996,0.99999999999996,0.99999999999996,1.00000000000007,1.00000000000007,5.3960981789603,5.3960981789603,5.3960981789603,6.48727789281437,6.48727789281437,6.00000000000004,6.00000000000004,7,7,6.68813055411423,6.68813055411423,6.68813055411423,6.00000000000002,6.00000000000002,6.00000000000001,6.00000000000001,5.1099029264734,5.1099029264734,6,6,6,6,6,6,6,6,6,6,6,6.62786387418786,6.62786387418786,6,6,5.33168291451076,5.33168291451076,5,5.99999999999997,5.99999999999997,6,6,6.94983516998567,6.94983516998567,6,6,5.99999999999998,5.99999999999998,5.99999999999998,5.99999999999998,5,5.00000000000004,5.00000000000004,5.6339745304064,5.6339745304064,4.32944008787519,4,4,4.00000000000001,4.00000000000001,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,0,null,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,1,1,1,1,1,2.51678291494373,2.51678291494373,4.78215686223855,4.78215686223855,4.78215686223855,5.16891314405509,5.16891314405509,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.33730931017422,7.33730931017422,7.33730931017422,7.15143244970067,7.15143244970067,9,9,9,8,8,8,7,7,7,6.48082172874829,6.48082172874829,6.48082172874829,5.6728534999161,5.6728534999161,5.6728534999161,5,5,5,5.03050411358184,5.03050411358184,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,5.01203189590649,5.01203189590649,6,6,6,6,6,6,5,5,5,5,5,5,5,5,5,5,5,6,6,6,5,5,5,5,5,5,5,5,5,5.89883377299927,5.89883377299927,5,5,5,4.12704388501917,4.12704388501917,4.12704388501917,6.09278963099829,6.09278963099829,6.09278963099829,8.79477103425799,8.79477103425799,8,8,8,6.15072689730248,6.15072689730248,6.15072689730248,8.80344193986653,8.80344193986653,8,8,8,8.05536386436041,8.05536386436041,9.34655402619604,9.34655402619604,9.34655402619604,9.23223096631383,9.23223096631383,9.23223096631383,9,9,7,7,7,1.0648334532014,1.0648334532014,1.31065230057067,1.31065230057067,1.31065230057067,0,0,6,6,6,5.5918907445567,5.5918907445567,1.77538030382718,1.77538030382718,0,0,0,2.71917541077188,2.71917541077188,5.80195091051985,5.80195091051985,5.80195091051985,6.51272210718563,6.51272210718563,7,7,7,7,7,7,7,6.47064624128562,6.47064624128562,6.27786322410294,6.27786322410294,5.89009707352663,5.89009707352663,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,5.66831708548925,5.66831708548925,5,5.19077666343618,5.19077666343618,6,6,6,6,6,6,5.39051666092524,5.39051666092524,5.40227595110053,5.40227595110053,5,5.91438845530882,5.91438845530882,5.36602546959358,5.36602546959358,5,3.99905933833669,3.99905933833669,4.29727969787275,4.29727969787275,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,1,1,1,1,1,3.2751743724156,3.2751743724156,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,7,7,7,8.30286489940133,8.30286489940133,9,9,9,8.1967682601254,8.1967682601254,8.1967682601254,7.36077095663235,7.36077095663235,7.36077095663235,6.48082172874829,6.48082172874829,6.48082172874829,5.6728534999161,5.6728534999161,5.6728534999161,5,5,5,5.03050411358184,5.03050411358184,6,6,6,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,5,5,5,4.85948122488562,4.85948122488562,4.85948122488562,5.89883377299927,5.89883377299927,5.64412851889007,5.64412851889007,5.64412851889007,5.37568129500639,5.37568129500639,5.37568129500639,3.18557926199658,3.18557926199658,3.18557926199658,6,6,8.48096365670649,8.48096365670649,8.48096365670649,9.15072689730248,9.15072689730248,9.15072689730248,11,11,10.561487773855,10.561487773855,10.561487773855,9,9,7.34655402619604,7.34655402619604,7.34655402619604,7,7,7,5.2087852342403,5.2087852342403,2,2,2,1,1,6,6,6,6,6,6,6,6,6,6,6,6,5.4975848657494,5.4975848657494,5.4975848657494,5.14041229461406,5.14041229461406,6,6,6,6,6,6.80338184833453,6.80338184833453,7,7,7,7,7,7,7,6,6,6,6,5.03313245382114,5.03313245382114,6.84884058900208,6.84884058900208,6,6,6,6,6,6,6,6,6,6,6,5.66831708548926,5.66831708548926,5.27376537746438,6,6,6.91722409665393,6.91722409665393,6.94983516998571,6.94983516998571,6,6,null,null,6,6,6,6,6,5.36602546959359,5.36602546959359,5,3,3,3,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3.2751743724156,3.2751743724156,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,7,9.15143244970067,9.15143244970067,9.02631543710439,9.02631543710439,9.02631543710439,8.1967682601254,8.1967682601254,8.1967682601254,8,8,8,7,7,7,5.6728534999161,5.6728534999161,5.6728534999161,5,5,5,5.03050411358184,5.03050411358184,6,6,6,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,5.30245506294887,5.30245506294887,5.30245506294887,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,5.36992369771193,5.36992369771193,5.36992369771193,5,5,5,5.89883377299927,5.89883377299927,5.64412851889007,5.64412851889007,5.64412851889007,5.62431870499361,5.62431870499361,5.62431870499361,5.09278963099829,5.09278963099829,5.09278963099829,5.79477103425799,5.79477103425799,6,6,6,8,8,8,9,9,9,9,9,8,8,6.69310805239208,6.69310805239208,6.69310805239208,5.23223096631383,5.23223096631383,5.23223096631383,4.2087852342403,4.2087852342403,0,0,0,3.54364280577083,3.54364280577083,6,6,6,6.18011330996,6.18011330996,6,6,6,5.29594537227835,5.29594537227835,5.11230984808641,5.11230984808641,6,6,6,5.85958770538594,5.85958770538594,6.19804908948014,6.19804908948014,6.19804908948014,6.48727789281437,6.48727789281437,6.80338184833453,6.80338184833453,7,7,7,7,7,6.47064624128562,6.47064624128562,6,6,6.89009707352663,6.89009707352663,5.03313245382114,5.03313245382114,6.15115941099792,6.15115941099792,7,7,7,6,6,6,6,6.37213612581211,6.37213612581211,6,6,5.66831708548925,5.66831708548925,5.27376537746438,6,6,6.91722409665393,6.91722409665393,6.94983516998571,6.94983516998571,6.20796109712517,6.20796109712517,null,null,null,null,5.82946510703269,5,5,5,5,5,4.99905933833669,4.99905933833669,4.64863984893638,4.64863984893638,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,0,null,null,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0.0852051350101697,0.0852051350101697,1,1,1.78634838135425,2.75979298847516,2.75979298847516,4.75839145747187,4.75839145747187,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,9.15143244970067,9.15143244970067,9.02631543710439,9.02631543710439,9.02631543710439,9,9,9,8,8,8,6,6,6,5.6728534999161,5.6728534999161,5.6728534999161,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5.54462350348942,5.54462350348942,5.54462350348942,5.68978851359748,5.68978851359748,5.68978851359748,5,5,5,5,5,6,6,6,5.30245506294887,5.30245506294887,5.30245506294887,5.46798076537576,5.46798076537576,5.46798076537576,5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,5.85948122488562,5.85948122488562,5.85948122488562,5,5,5.64412851889007,5.64412851889007,5.64412851889007,6,6,6,7,7,7,7,7,6,6,6,4.30145379460496,4.30145379460496,4.30145379460496,8.80344193986653,8.80344193986653,9,9,9,7.94463613563959,7.94463613563959,4,4,4,3.30330710105851,3.30330710105851,3.30330710105851,0,0,0.329916966905431,0.329916966905431,0.329916966905431,6,6,6.65532615028533,6.65532615028533,6.65532615028533,7,7,7,7,7,6.29594537227835,6.29594537227835,7,7,7,7,7,6.14041229461406,6.14041229461406,6.80195091051985,6.80195091051985,6.80195091051985,6.51272210718563,6.51272210718563,6.19661815166547,6.19661815166547,7,7,7,7,7,7,7,6.27786322410294,6.27786322410294,6.10990292647336,6.10990292647336,5.96686754617886,5.96686754617886,6,6,7,7,7,6.68805580613408,6.68805580613408,6.35462348157329,6.35462348157329,6,6,6.36448366538045,6.36448366538045,6,6,7,6,6,6.91722409665393,6.91722409665393,6.94983516998571,6.94983516998571,7,7,null,null,null,null,null,null,null,null,null,5.32944008787516,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,0,0,0,null,null,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0.0852051350101697,0.0852051350101697,1,1,2,2.7597929884752,2.7597929884752,4,4,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,10,10,10,10,10,8.80323173987461,8.80323173987461,8.80323173987461,8,8,8,6,6,6,5.67285349991611,5.67285349991611,5.67285349991611,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5.68978851359745,5.68978851359745,5.68978851359745,5,5,5,5,5,5.99999999999996,5.99999999999996,5.99999999999996,5,5,5,5.46798076537578,5.46798076537578,5.46798076537578,5,5,5,5,5,5,5,5,5.00000000000003,5.00000000000003,5.00000000000003,6,6,6,6,6,6,5.00000000000003,5.00000000000003,5.00000000000003,5.10116622700077,5.10116622700077,5.99999999999996,5.99999999999996,5.99999999999996,6.00000000000002,6.00000000000002,6.00000000000002,7,7,7,7.20522896574203,7.20522896574203,7,7,7,6.00000000000003,6.00000000000003,6.00000000000003,6.80344193986633,6.80344193986633,10.4385122261447,10.4385122261447,10.4385122261447,8.88927227127903,8.88927227127903,5.34655402619615,5.34655402619615,5.34655402619615,4.53553806737248,4.53553806737248,4.53553806737248,1.2087852342405,1.2087852342405,3.65983393381098,3.65983393381098,3.65983393381098,5.99999999999999,5.99999999999999,6.34467384971462,6.34467384971462,6.34467384971462,6.81988669003996,6.81988669003996,6.99999999999999,6.99999999999999,6.99999999999999,6.29594537227838,6.29594537227838,7,7,6.00000000000004,6.00000000000004,6.00000000000004,7,7,6.8019509105199,6.8019509105199,6.8019509105199,7.00000000000002,7.00000000000002,7,7,7,7,7,7,7,6.47064624128564,6.47064624128564,6.00000000000004,6.00000000000004,6,6,6,6,6.15115941099795,6.15115941099795,7,7,7,7.00000000000003,7.00000000000003,6.3546234815733,6.3546234815733,6.99999999999999,6.99999999999999,6.63551633461954,6.63551633461954,6.33168291451073,6.33168291451073,6.27376537746441,6.00000000000003,6.00000000000003,6.99999999999996,6.99999999999996,6.99999999999996,6.99999999999996,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,0,0,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,null,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,0,0,null,0,0,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.99999999999996,0.99999999999996,0.0852051350101663,0.0852051350101663,1,1,2,3.75979298847516,3.75979298847516,4.00000000000003,4.00000000000003,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,9.99999999999997,9.99999999999997,10,10,10,9.00000000000004,9.00000000000004,9.00000000000004,8.00000000000001,8.00000000000001,8.00000000000001,6.03835654250339,6.03835654250339,6.03835654250339,5.99999999999999,5.99999999999999,5.99999999999999,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5.99999999999998,5.99999999999998,5.99999999999998,5.00000000000001,5.00000000000001,5.00000000000001,5,5,5,5,5,5.79494108638234,5.79494108638234,5.79494108638234,6,6,6,5.99999999999997,5.99999999999997,5.99999999999997,5.85948122488562,5.85948122488562,5.85948122488562,6,6,5,5,5,6.37568129500639,6.37568129500639,6.37568129500639,7,7,7,7.79477103425796,7.79477103425796,7,7,7,6.69854620539505,6.69854620539505,6.69854620539505,2.00000000000001,2.00000000000001,4.87702445228979,4.87702445228979,4.87702445228979,5.11072772872079,5.11072772872079,8,8,8,7.99999999999999,7.99999999999999,7.99999999999999,6.20878523424035,6.20878523424035,6.67008303309454,6.67008303309454,6.67008303309454,5.84788093525695,5.84788093525695,5.34467384971467,5.34467384971467,5.34467384971467,6,6,6.72686582868483,6.72686582868483,6.72686582868483,7,7,7,7,7,7,7,7,7,7.80195091051985,7.80195091051985,7.80195091051985,7.48727789281436,7.48727789281436,7,7,7,7,7,7,7,7,7,7,7,6,6,6,6,6.99999999999996,6.99999999999996,7,7,7,7.68805580613405,7.68805580613405,6.64537651842673,6.64537651842673,6.62786387418786,6.62786387418786,6.63551633461954,6.63551633461954,6,6,6.99999999999997,6.80922333656382,6.80922333656382,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4.99999999999996,4.99999999999996,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,0,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3.51958597695033,3.51958597695033,4.75839145747187,4.75839145747187,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,9.15143244970067,9.15143244970067,10,10,10,10,10,10,8.36077095663235,8.36077095663235,8.36077095663235,5.51917827125171,5.51917827125171,5.51917827125171,5.6728534999161,5.6728534999161,5.6728534999161,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5.53201923462424,5.53201923462424,5.53201923462424,5.35983252928748,5.35983252928748,5.35983252928748,5,5,5,5,5,5.79494108638234,5.79494108638234,5.79494108638234,6,6,6,5.36992369771193,5.36992369771193,5.36992369771193,5.85948122488562,5.85948122488562,5.85948122488562,5.89883377299927,5.89883377299927,5,5,5,6.37568129500639,6.37568129500639,6.37568129500639,7,7,7,7,7,7,7,7,6.84927310269752,6.84927310269752,6.84927310269752,2.19655806013347,2.19655806013347,2,2,2,4.22145545744165,4.22145545744165,8,8,8,7.69669289894149,7.69669289894149,7.69669289894149,7.4175704684806,7.4175704684806,6,6,6,6,6,5.34467384971467,5.34467384971467,5.34467384971467,6,6,6,6,6,7,7,7,7,7,7,7,7,7,7.80195091051985,7.80195091051985,7.80195091051985,7.48727789281437,7.48727789281437,7,7,7,7,7,7,7,7,7,7,7,6.10990292647336,6.10990292647336,6,6,6.15115941099792,6.15115941099792,7,7,7,7,7,7,7,6,6,null,null,6,6,6.27376537746438,6.80922333656382,6.80922333656382,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4.00094066166331,4.00094066166331,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,null,null,null,0,0,null,0,0,0,0,0,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,0,0,0,0,0,0,null,null,0,0,0,0,0,0,0,null,null,0,0,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0.91479486498983,0.91479486498983,1,1,1,3.27937896542549,3.27937896542549,4.75839145747187,4.75839145747187,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8,8,8,9.84856755029933,9.84856755029933,9.97368456289561,9.97368456289561,9.97368456289561,9.8032317398746,9.8032317398746,9.8032317398746,8,8,8,5.51917827125171,5.51917827125171,5.51917827125171,5.3271465000839,5.3271465000839,5.3271465000839,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,5,5,5,5,5,5.79494108638234,5.79494108638234,5.79494108638234,6,6,6,5.36992369771193,5.36992369771193,5.36992369771193,6,6,6,6,6,5,5,5,5.75136259001278,5.75136259001278,5.75136259001278,7,7,7,7.79477103425799,7.79477103425799,7,7,7,8,8,8,4,4,3.43851222614495,3.43851222614495,3.43851222614495,6.05536386436041,6.05536386436041,7.65344597380396,7.65344597380396,7.65344597380396,5.69669289894149,5.69669289894149,5.69669289894149,6.4175704684806,6.4175704684806,6.65983393381086,6.65983393381086,6.65983393381086,6.30423812948611,6.30423812948611,6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,7,8,8,8,7.51272210718563,7.51272210718563,7.19661815166547,7.19661815166547,7,7,7,7,7,7,7,7,7,7,7,6,6,7,7,7.75588741664776,7.75588741664776,7.75588741664776,7,7,7,7,7,7,null,null,null,null,6.27376537746438,7,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,null,null,0,0,null,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,0,0,0,0,0,0,null,null,0,0,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,0,0,0,0,0.161970273284556,0.161970273284556,0.786348381354241,3.27937896542548,3.27937896542548,4,4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.00000000000004,7.00000000000004,7.00000000000004,9,9,9.97368456289565,9.97368456289565,9.97368456289565,10,10,10,7.36077095663237,7.36077095663237,7.36077095663237,5.48082172874825,5.48082172874825,5.48082172874825,6,6,6,5.82266720216921,5.82266720216921,5.82266720216921,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6.00000000000004,6.00000000000004,6.00000000000004,5.81985748903805,5.81985748903805,5.81985748903805,5,5,6.00000000000001,6.00000000000001,6.00000000000001,6,6,6,6,6,6,5.14051877511438,5.14051877511438,5.14051877511438,6,6,6.00000000000004,6.00000000000004,6.00000000000004,5.62431870499359,5.62431870499359,5.62431870499359,6.00000000000004,6.00000000000004,6.00000000000004,6.00000000000003,6.00000000000003,6.48096365670649,6.48096365670649,6.48096365670649,7,7,7,3.99999999999991,3.99999999999991,3.87702445228985,3.87702445228985,3.87702445228985,4.99999999999996,4.99999999999996,5.6931080523921,5.6931080523921,5.6931080523921,3.99999999999994,3.99999999999994,3.99999999999994,6.79121476575974,6.79121476575974,7.00000000000001,7.00000000000001,7.00000000000001,7.15211906474306,7.15211906474306,6.34467384971464,6.34467384971464,6.34467384971464,7,7,6.54626834263029,6.54626834263029,6.54626834263029,6.29594537227832,6.29594537227832,6.11230984808641,6.11230984808641,7.49758486574942,7.49758486574942,7.49758486574942,7.00000000000001,7.00000000000001,8.00000000000001,8.00000000000001,8.00000000000001,7.48727789281438,7.48727789281438,7,7,7,7,7,7,7,7,7,7,7,7,7,6.06626490764224,6.06626490764224,6.99999999999999,6.99999999999999,7.75588741664779,7.75588741664779,7.75588741664779,7,7,7.00000000000003,7.00000000000003,6,6,null,null,null,null,6.27376537746438,7.00000000000004,7.00000000000004,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,null,null,0,0,null,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,0,0,0,0,0,0,null,null,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,0,0,0,0,0.161970273284589,0.161970273284589,1.00000000000007,3.51958597695034,3.51958597695034,4,4,null,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999996,5.99999999999996,5.99999999999996,8.99999999999999,8.99999999999999,9,9,9,9.99999999999996,9.99999999999996,9.99999999999996,7.00000000000005,7.00000000000005,7.00000000000005,6.48082172874829,6.48082172874829,6.48082172874829,6,6,6,5,5,5,5,5,5,5,5,5.00000000000003,5.00000000000003,5.00000000000003,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5.99999999999999,5.99999999999999,5.99999999999999,5.00788180601882,5.00788180601882,5.79494108638235,5.79494108638235,5.79494108638235,6,6,6,6,6,6,5.14051877511437,5.14051877511437,5.14051877511437,6,6,5.00000000000001,5.00000000000001,5.00000000000001,5.99999999999997,5.99999999999997,5.99999999999997,5.09278963099832,5.09278963099832,5.09278963099832,5.20522896574203,5.20522896574203,6.48096365670649,6.48096365670649,6.48096365670649,6.84927310269753,6.84927310269753,6.84927310269753,6.19655806013351,6.19655806013351,5.31553667843493,5.31553667843493,5.31553667843493,5.94463613563963,5.94463613563963,5.34655402619604,5.34655402619604,5.34655402619604,5.53553806737236,5.53553806737236,5.53553806737236,5.79121476575974,5.79121476575974,6.65983393381081,6.65983393381081,6.65983393381081,6.99999999999992,6.99999999999992,7.00000000000003,7.00000000000003,7.00000000000003,7.00000000000003,7.00000000000003,6.27313417131517,6.27313417131517,6.27313417131517,7,7,6.11230984808641,6.11230984808641,6.99999999999996,6.99999999999996,6.99999999999996,6.85958770538594,6.85958770538594,7.80195091051982,7.80195091051982,7.80195091051982,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7.15115941099795,7.15115941099795,7.00000000000003,7.00000000000003,7.00000000000003,7,7,6.3546234815733,6.3546234815733,null,null,null,null,null,null,6.27376537746437,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,0,0,0,1.00000000000004,1.00000000000004,2.78634838135426,3.75979298847516,3.75979298847516,4,4,null,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8.84856755029933,8.84856755029933,9,9,9,9.1967682601254,9.1967682601254,9.1967682601254,8.36077095663234,8.36077095663234,8.36077095663234,6.51917827125171,6.51917827125171,6.51917827125171,5.99999999999999,5.99999999999999,5.99999999999999,5,5,5,5,5,5,5,5,5.74227406062201,5.74227406062201,5.74227406062201,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5.81985748903803,5.81985748903803,5.81985748903803,5.00788180601882,5.00788180601882,6,6,6,5.99999999999998,5.99999999999998,5.99999999999998,6,6,6,5.00000000000004,5.00000000000004,5.00000000000004,6,6,5.35587148110996,5.35587148110996,5.35587148110996,5.37568129500639,5.37568129500639,5.37568129500639,5.90721036900171,5.90721036900171,5.90721036900171,5.79477103425796,5.79477103425796,6.51903634329351,6.51903634329351,6.51903634329351,6.99999999999997,6.99999999999997,6.99999999999997,6.99999999999996,6.99999999999996,7,7,7,6.99999999999992,6.99999999999992,5.34655402619603,5.34655402619603,5.34655402619603,5.99999999999999,5.99999999999999,5.99999999999999,6.79121476575963,6.79121476575963,5.32991696690542,5.32991696690542,5.32991696690542,5.00000000000001,5.00000000000001,7.65532615028531,7.65532615028531,7.65532615028531,7.81988669003996,7.81988669003996,7.00000000000003,7.00000000000003,7.00000000000003,6.99999999999997,6.99999999999997,6.11230984808637,6.11230984808637,6,6,6,7,7,7,7,7,6.99999999999998,6.99999999999998,6.99999999999997,6.99999999999997,7,7,7,7,7,7,7,7,7,7,7,7.03313245382114,7.03313245382114,7.84884058900205,7.84884058900205,7.75588741664776,7.75588741664776,7.75588741664776,6.99999999999999,6.99999999999999,6.64537651842671,6.64537651842671,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,0,0,0,2,2,3,3.75979298847516,3.75979298847516,4,4,null,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8.84856755029933,8.84856755029933,9,9,9,9.1967682601254,9.1967682601254,9.1967682601254,8,8,8,6.51917827125171,6.51917827125171,6.51917827125171,5.6728534999161,5.6728534999161,5.6728534999161,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,5.58780631426367,5.58780631426367,5.58780631426367,6,6,6,6,6,6,6,6,6,6,6,5.37568129500639,5.37568129500639,5.37568129500639,6,6,6,5,5,6.48096365670649,6.48096365670649,6.48096365670649,6.15072689730248,6.15072689730248,6.15072689730248,6,6,7,7,7,5,5,5,5,5,5.76776903368617,5.76776903368617,5.76776903368617,5,5,5,5,5,5.15211906474306,5.15211906474306,7,7,7,7,7,7.72686582868486,7.72686582868486,7.72686582868486,6.29594537227835,6.29594537227835,5,5,6,6,6,7,7,7,7,7,6.51272210718563,6.51272210718563,6.19661815166547,6.19661815166547,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7.75588741664776,7.75588741664776,7.75588741664776,6.68805580613408,6.68805580613408,6.64537651842672,6.64537651842672,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,0,0,0,0,0,0,0,null,null,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,0,0,0,1.83802972671541,1.83802972671541,2.99999999999996,3.75979298847513,3.75979298847513,3,3,3.99999999999999,3.99999999999999,3.99999999999999,4.83108685594492,4.83108685594492,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8.1514324497007,8.1514324497007,9.97368456289561,9.97368456289561,9.97368456289561,9.99999999999996,9.99999999999996,9.99999999999996,7.36077095663238,7.36077095663238,7.36077095663238,5.51917827125173,5.51917827125173,5.51917827125173,5.99999999999999,5.99999999999999,5.99999999999999,5.82266720216917,5.82266720216917,5.82266720216917,5.03050411358184,5.03050411358184,5,5,5,5.99999999999999,5.99999999999999,5.99999999999999,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5.58780631426367,5.58780631426367,5.58780631426367,6,6,6,5.99999999999999,5.99999999999999,5.99999999999999,6,6,6,6,6,5.00000000000002,5.00000000000002,5.00000000000002,6.90721036900167,6.90721036900167,6.90721036900167,5.794771034258,5.794771034258,6.48096365670645,6.48096365670645,6.48096365670645,6,6,6,6.19655806013343,6.19655806013343,5.99999999999996,5.99999999999996,5.99999999999996,5,5,5.00000000000004,5.00000000000004,5.00000000000004,5.00000000000004,5.00000000000004,5.00000000000004,5.00000000000004,5.00000000000004,6.00000000000001,6.00000000000001,6.00000000000001,5.84788093525698,5.84788093525698,7.34467384971465,7.34467384971465,7.34467384971465,7.99999999999996,7.99999999999996,6.99999999999996,6.99999999999996,6.99999999999996,6.29594537227834,6.29594537227834,6,6,6.00000000000002,6.00000000000002,6.00000000000002,6.85958770538594,6.85958770538594,6.19804908948014,6.19804908948014,6.19804908948014,6.51272210718563,6.51272210718563,6.00000000000003,6.00000000000003,6.00000000000004,6.00000000000004,6.3118694458858,6.3118694458858,6.3118694458858,7,7,7,7,7,7,7.03313245382116,7.03313245382116,7,7,7,7,7,7,7,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,null,0,null,0,0,null,null,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,0,0,0,0,null,null,2,3,3,3,3,3.78215686223855,3.78215686223855,3.78215686223855,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,9,9,9.97368456289561,9.97368456289561,9.97368456289561,9,9,9,8,8,8,6,6,6,5.6728534999161,5.6728534999161,5.6728534999161,5.82266720216917,5.82266720216917,5.82266720216917,5,5,5,5,5,5.74227406062204,5.74227406062204,5.74227406062204,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5.58780631426367,5.58780631426367,5.58780631426367,6,6,6,5.85948122488562,5.85948122488562,5.85948122488562,6,6,6,6,6,5.37568129500639,5.37568129500639,5.37568129500639,6,6,6,6,6,5.51903634329351,5.51903634329351,5.51903634329351,6,6,6,5,5,5,5,5,5.05536386436041,5.05536386436041,6,6,6,6,6,6,6,6,6.32991696690543,6.32991696690543,6.32991696690543,6.84788093525694,6.84788093525694,7,7,7,7,7,6,6,6,6,6,6,6,6.4975848657494,6.4975848657494,6.4975848657494,7,7,6,6,6,6.51272210718563,6.51272210718563,6.80338184833453,6.80338184833453,7,7,7,7,7,7,7,7,7,7,7,null,null,7,7,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,0,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,0,0,null,null,null,null,1.49999999999999,2.99999999999998,2.99999999999998,1.99999999999998,1.99999999999998,4,4,4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4.99999999999996,4.99999999999996,4.99999999999996,9.84856755029937,9.84856755029937,9.97368456289565,9.97368456289565,9.97368456289565,8.19676826012537,8.19676826012537,8.19676826012537,7.36077095663233,7.36077095663233,7.36077095663233,5.99999999999996,5.99999999999996,5.99999999999996,4.99999999999997,4.99999999999997,4.99999999999997,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5.99211819398122,5.99211819398122,4.99999999999996,4.99999999999996,4.99999999999996,5,5,5,5.36992369771191,5.36992369771191,5.36992369771191,6,6,6,5.1011662270007,5.1011662270007,6,6,6,5.62431870499358,5.62431870499358,5.62431870499358,6.09278963099833,6.09278963099833,6.09278963099833,6.00000000000004,6.00000000000004,5.51903634329351,5.51903634329351,5.51903634329351,5,5,5,4.99999999999996,4.99999999999996,4.99999999999996,4.99999999999996,4.99999999999996,5.05536386436034,5.05536386436034,5.34655402619599,5.34655402619599,5.34655402619599,5.76776903368611,5.76776903368611,5.76776903368611,5.79121476575961,5.79121476575961,7,7,7,7,7,7,7,7,7.81988669004007,7.81988669004007,5.72686582868485,5.72686582868485,5.72686582868485,6,6,5.11230984808637,5.11230984808637,6,6,6,6.14041229461406,6.14041229461406,6,6,6,6.48727789281438,6.48727789281438,6,6,6.06982500535985,6.06982500535985,7.00000000000004,7.00000000000004,7.00000000000004,7,7,7,7,5.99999999999999,5.99999999999999,null,null,7.00000000000004,7.00000000000004,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,1.78634838135424,3.5195859769503,3.5195859769503,2.48321708505629,2.48321708505629,4,4,4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,8.99999999999996,8.99999999999996,9,9,9,8.80323173987461,8.80323173987461,8.80323173987461,8,8,8,6.99999999999998,6.99999999999998,6.99999999999998,5.6728534999161,5.6728534999161,5.6728534999161,5.00000000000004,5.00000000000004,5.00000000000004,5.00000000000004,5.00000000000004,5.11422067291187,5.11422067291187,5.11422067291187,5,5,5,5,5,5,5,5,5,5.00000000000004,5.00000000000004,5.00000000000004,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5.00000000000004,5.00000000000004,6,6,6,5,5,5,5.99999999999998,5.99999999999998,5.99999999999998,6,6,6,6,6,6,6,6,6.24863740998722,6.24863740998722,6.24863740998722,5.09278963099829,5.09278963099829,5.09278963099829,5.00000000000003,5.00000000000003,5.51903634329351,5.51903634329351,5.51903634329351,5.00000000000003,5.00000000000003,5.00000000000003,6,6,6.00000000000002,6.00000000000002,6.00000000000002,6.94463613563959,6.94463613563959,6.653445973804,6.653445973804,6.653445973804,7.23223096631383,7.23223096631383,7.23223096631383,7.99999999999996,7.99999999999996,7,7,7,7,7,6.99999999999998,6.99999999999998,6.99999999999998,6,6,6,6,6,6.00000000000003,6.00000000000003,6.11230984808641,6.11230984808641,6,6,6,6.14041229461406,6.14041229461406,5.99999999999999,5.99999999999999,5.99999999999999,6,6,6,6,6.06982500535985,6.06982500535985,6,6,6,7,7,7,7,6.10990292647336,6.10990292647336,null,null,6.00000000000003,6.00000000000003,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,2.75979298847513,2.75979298847513,3.00000000000003,3.00000000000003,4,4,4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999996,5.99999999999996,5.99999999999996,7.99999999999996,7.99999999999996,8.97368456289561,8.97368456289561,8.97368456289561,9,9,9,8.00000000000004,8.00000000000004,8.00000000000004,6.48082172874829,6.48082172874829,6.48082172874829,5.6728534999161,5.6728534999161,5.6728534999161,5.99999999999996,5.99999999999996,5.99999999999996,5.96949588641816,5.96949588641816,5.11422067291187,5.11422067291187,5.11422067291187,5,5,5,5,5,5,5.00000000000002,5.00000000000002,5.00000000000002,5.99999999999996,5.99999999999996,5.99999999999996,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5.00000000000003,5.00000000000003,5.00000000000003,5,5,5,5.99211819398118,5.99211819398118,5.99999999999996,5.99999999999996,5.99999999999996,5,5,5,5.63007630228804,5.63007630228804,5.63007630228804,6,6,6,5.99999999999996,5.99999999999996,6.00000000000003,6.00000000000003,6.00000000000003,6.24863740998723,6.24863740998723,6.24863740998723,5.00000000000004,5.00000000000004,5.00000000000004,5.79477103425804,5.79477103425804,5.48096365670655,5.48096365670655,5.48096365670655,5.84927310269757,5.84927310269757,5.84927310269757,6.00000000000004,6.00000000000004,6.43851222614502,6.43851222614502,6.43851222614502,7.00000000000004,7.00000000000004,7.65344597380397,7.65344597380397,7.65344597380397,7.23223096631382,7.23223096631382,7.23223096631382,7.00000000000003,7.00000000000003,7,7,7,7,7,6.65532615028531,6.65532615028531,6.65532615028531,6.00000000000003,6.00000000000003,6.00000000000001,6.00000000000001,6.00000000000001,6.70405462772162,6.70405462772162,6,6,6,6,6,6,6,5.80195091051985,5.80195091051985,5.80195091051985,6,6,6,6,6,6,6,6,6,7,7,7,7,6.10990292647336,6.10990292647336,null,null,6.84884058900207,6.84884058900207,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,null,null,null,null,null,null,null,null,null,3.75839145747187,3.75839145747187,4,4,4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,7,7,8.97368456289561,8.97368456289561,8.97368456289561,9,9,9,9,9,9,6.48082172874829,6.48082172874829,6.48082172874829,5.6728534999161,5.6728534999161,5.6728534999161,5,5,5,5.96949588641816,5.96949588641816,5,5,5,5,5,5,5,5,5,5.45537649651058,5.45537649651058,5.45537649651058,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5.64016747071252,5.64016747071252,5.64016747071252,5,5,5,5.99211819398118,5.99211819398118,5,5,5,5,5,5,5,5,5,6,6,6,5,5,6.64412851889007,6.64412851889007,6.64412851889007,6.62431870499361,6.62431870499361,6.62431870499361,6.09278963099829,6.09278963099829,6.09278963099829,7,7,7,7,7,7,7,7,7,7,8,8,8,7.94463613563959,7.94463613563959,8,8,8,7,7,7,7.7912147657597,7.7912147657597,7,7,7,7,7,6,6,6,6.81988669003999,6.81988669003999,6.27313417131514,6.27313417131514,6.27313417131514,6,6,6,6,6,6,6,6,6,5.80195091051985,5.80195091051985,5.80195091051985,6,6,6,6,6,6,6,6,6,7,7,7,7,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,0,0,0,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,null,null,null,null,null,null,null,null,null,3.75839145747188,3.75839145747188,4,4,4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,7.15143244970067,7.15143244970067,8,8,8,7.19676826012541,7.19676826012541,7.19676826012541,8,8,8,6.51917827125172,6.51917827125172,6.51917827125172,6,6,6,6,6,6,5.96949588641817,5.96949588641817,5,5,5,5.74227406062204,5.74227406062204,5.74227406062204,5,5,5,5.45537649651058,5.45537649651058,5.45537649651058,5,5,5,5,5,5,5,5,5,5,5,5,5,5,4.99999999999999,4.99999999999999,4.99999999999999,5.35983252928749,5.35983252928749,5.35983252928749,5,5,5,4.99999999999998,4.99999999999998,5.79494108638233,5.79494108638233,5.79494108638233,5,5,5,5.36992369771193,5.36992369771193,5.36992369771193,5,5,5,5.89883377299926,5.89883377299926,6,6,6,6.37568129500638,6.37568129500638,6.37568129500638,8,8,8,7.20522896574198,7.20522896574198,6.99999999999998,6.99999999999998,6.99999999999998,8,8,8,8,8,8,8,8,8,8,8,8,8,7.23223096631382,7.23223096631382,7.23223096631382,8.00000000000002,8.00000000000002,7,7,7,6.15211906474304,6.15211906474304,5.99999999999999,5.99999999999999,5.99999999999999,5.99999999999998,5.99999999999998,5.99999999999998,5.99999999999998,5.99999999999998,6,6,6,6,5.50241513425058,5.50241513425058,5.50241513425058,6,6,6,6,6,6,6,5.19661815166547,5.19661815166547,6,6,6,6,6,7.00000000000001,7.00000000000001,6.27786322410294,6.27786322410294,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,null,null,null,null,null,null,null,null,null,3,3,3.99999999999998,3.99999999999998,3.99999999999998,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.15143244970066,7.15143244970066,8,8,8,6.80323173987462,6.80323173987462,6.80323173987462,7.99999999999999,7.99999999999999,7.99999999999999,6,6,6,6,6,6,5.99999999999998,5.99999999999998,5.99999999999998,5.00000000000002,5.00000000000002,5,5,5,5.74227406062204,5.74227406062204,5.74227406062204,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5.53201923462423,5.53201923462423,5.53201923462423,5,5,5,5,5,5,5.99211819398116,5.99211819398116,6,6,6,5.00000000000002,5.00000000000002,5.00000000000002,5.36992369771194,5.36992369771194,5.36992369771194,5.14051877511438,5.14051877511438,5.14051877511438,5.99999999999998,5.99999999999998,6.00000000000001,6.00000000000001,6.00000000000001,7,7,7,8.09278963099829,8.09278963099829,8.09278963099829,8.20522896574201,8.20522896574201,8.00000000000001,8.00000000000001,8.00000000000001,7.84927310269751,7.84927310269751,7.84927310269751,7.80344193986655,7.80344193986655,8.00000000000001,8.00000000000001,8.00000000000001,7.94463613563959,7.94463613563959,7.99999999999999,7.99999999999999,7.99999999999999,7.76776903368616,7.76776903368616,7.76776903368616,6.99999999999998,6.99999999999998,6.99999999999998,6.99999999999998,6.99999999999998,6.84788093525694,6.84788093525694,6.65532615028532,6.65532615028532,6.65532615028532,6.81988669003998,6.81988669003998,6.72686582868486,6.72686582868486,6.72686582868486,6.00000000000001,6.00000000000001,6,6,6,6,6,6,6,5.80195091051984,5.80195091051984,5.80195091051984,5.99999999999999,5.99999999999999,5,5,6,6,6,6,6,6.47064624128561,6.47064624128561,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,null,null,null,null,null,null,null,1.99999999999998,1.99999999999998,3,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,7.99999999999996,7.99999999999996,7.99999999999996,8,8,8,7.36077095663235,7.36077095663235,7.36077095663235,5.99999999999999,5.99999999999999,5.99999999999999,6,6,6,5.17733279783084,5.17733279783084,5.17733279783084,5.99999999999998,5.99999999999998,5.11422067291187,5.11422067291187,5.11422067291187,6,6,6,5,5,5,5.00000000000001,5.00000000000001,5.00000000000001,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5.99999999999998,5.99999999999998,5.99999999999998,5.99999999999999,5.99999999999999,5.99999999999999,5.99999999999999,5.99999999999999,5.99999999999999,5.14051877511438,5.14051877511438,5.14051877511438,5.10116622700073,5.10116622700073,6.64412851889006,6.64412851889006,6.64412851889006,7,7,7,7.99999999999998,7.99999999999998,7.99999999999998,8.20522896574201,8.20522896574201,8.48096365670648,8.48096365670648,8.48096365670648,7.15072689730249,7.15072689730249,7.15072689730249,8.80344193986653,8.80344193986653,8.56148777385504,8.56148777385504,8.56148777385504,8,8,7.34655402619603,7.34655402619603,7.34655402619603,6.99999999999999,6.99999999999999,6.99999999999999,6.20878523424029,6.20878523424029,6.00000000000002,6.00000000000002,6.00000000000002,7,7,6,6,6,6.18011330996,6.18011330996,6.72686582868485,6.72686582868485,6.72686582868485,6.29594537227836,6.29594537227836,6,6,6,6,6,6,6,5,5,5,5.48727789281437,5.48727789281437,5.00000000000002,5.00000000000002,6,6,6,6,6,6,6,5.99999999999998,5.99999999999998,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,2.75839145747187,2.75839145747187,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,7,7,6.02631543710439,6.02631543710439,6.02631543710439,8,8,8,7,7,7,5.51917827125171,5.51917827125171,5.51917827125171,6,6,6,6,6,6,5,5,5.11422067291187,5.11422067291187,5.11422067291187,6,6,6,5,5,5,5.54462350348942,5.54462350348942,5.54462350348942,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5.58780631426367,5.58780631426367,5.58780631426367,5.63007630228807,5.63007630228807,5.63007630228807,5.14051877511438,5.14051877511438,5.14051877511438,5.10116622700073,5.10116622700073,6,6,6,7,7,7,7.09278963099829,7.09278963099829,7.09278963099829,8.20522896574201,8.20522896574201,8,8,8,7.84927310269752,7.84927310269752,7.84927310269752,8.80344193986653,8.80344193986653,8.56148777385505,8.56148777385505,8.56148777385505,8,8,7,7,7,6.76776903368617,6.76776903368617,6.76776903368617,6,6,7,7,7,7,7,6,6,6,6,6,6,6,6,7,7,6,6,6,6,6,6,6,5,5,5,5.48727789281437,5.48727789281437,6,6,6,6,6,6,6,6,6,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,3,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999997,5.99999999999997,5.99999999999997,6,6,6,6,6,7.00000000000002,7.00000000000002,7.00000000000002,7.36077095663238,7.36077095663238,7.36077095663238,5.99999999999998,5.99999999999998,5.99999999999998,6,6,6,6.00000000000003,6.00000000000003,6.00000000000003,6,6,6,6,6,6,6,6,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5.00000000000004,5.00000000000004,5,5,5,5.58780631426367,5.58780631426367,5.58780631426367,6,6,6,5,5,5,6,6,6,6,6,7.37568129500638,7.37568129500638,7.37568129500638,8.09278963099829,8.09278963099829,8.09278963099829,9,9,8.51903634329351,8.51903634329351,8.51903634329351,8,8,8,9,9,8,8,8,8,8,7,7,7,6.99999999999999,6.99999999999999,6.99999999999999,6,6,7,7,7,6.15211906474309,6.15211906474309,6.34467384971465,6.34467384971465,6.34467384971465,6,6,6,6,6,6,6,6,6,6,6,6,6,6,5.19804908948018,5.19804908948018,5.19804908948018,5.48727789281437,5.48727789281437,6,6,5.06982500535989,5.06982500535989,5.68813055411421,5.68813055411421,5.68813055411421,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,2,2,3,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.33730931017422,5.33730931017422,5.33730931017422,6,6,6,6,6,7.6064634797492,7.6064634797492,7.6064634797492,8,8,8,5.48082172874829,5.48082172874829,5.48082172874829,6,6,6,6.82266720216917,6.82266720216917,6.82266720216917,6,6,6,6,6,6,6,6,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,5,5,5,5.58780631426367,5.58780631426367,5.58780631426367,6,6,6,5,5,5,6,6,6,6,6,7,7,7,8.09278963099829,8.09278963099829,8.09278963099829,9,9,8.51903634329351,8.51903634329351,8.51903634329351,8,8,8,9,9,8,8,8,8,8,7,7,7,6.76776903368617,6.76776903368617,6.76776903368617,6,6,7,7,7,7,7,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,5.48727789281437,5.48727789281437,6,6,6,6,5.31186944588578,5.31186944588578,5.31186944588578,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,1,2,2,3,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6,6,6,6,6,7,7,7,7,7,7,6,6,6,6.3271465000839,6.3271465000839,6.3271465000839,7,7,7,6,6,5,5,5,5.25772593937796,5.25772593937796,5.25772593937796,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5.41219368573633,5.41219368573633,5.41219368573633,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7.09278963099829,7.09278963099829,7.09278963099829,8.79477103425799,8.79477103425799,9,9,9,8,8,8,8.19655806013347,8.19655806013347,8,8,8,8,8,7,7,7,7,7,7,6,6,7,7,7,7,7,6,6,6,6,6,6,6,6,6,6,6,6,6.5024151342506,6.5024151342506,6.5024151342506,6,6,6,6,6,6,6,5.19661815166547,5.19661815166547,6,6,5.31186944588578,5.31186944588578,5.31186944588578,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,1,1.51958597695036,1.51958597695036,2.99999999999994,2.99999999999994,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6.8032317398746,6.8032317398746,6.8032317398746,6,6,6,6.51917827125165,6.51917827125165,6.51917827125165,7.3271465000839,7.3271465000839,7.3271465000839,8,8,8,6.00000000000006,6.00000000000006,6,6,6,5,5,5,4.40089795437363,4.40089795437363,4.40089795437363,5,5,5,5.3102114864025,5.3102114864025,5.3102114864025,5,5,5,5,5,5.8572620606303,5.8572620606303,5.8572620606303,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5.00000000000001,5.00000000000001,5.00000000000001,5.00000000000004,5.00000000000004,5.00000000000004,5.99999999999998,5.99999999999998,5.99999999999998,6,6,6,6.89883377299927,6.89883377299927,6.00000000000002,6.00000000000002,6.00000000000002,7,7,7,6.99999999999994,6.99999999999994,6.99999999999994,8.58954206851599,8.58954206851599,9.00000000000003,9.00000000000003,9.00000000000003,8,8,8,8.19655806013347,8.19655806013347,8,8,8,8,8,7,7,7,7,7,7,6.20878523424035,6.20878523424035,6.67008303309457,6.67008303309457,6.67008303309457,6.15211906474305,6.15211906474305,6,6,6,6,6,5.99999999999996,5.99999999999996,5.99999999999996,6,6,6.00000000000005,6.00000000000005,6,6,6,6,6,6,6,6,5.51272210718563,5.51272210718563,5,5,5.93017499464014,5.93017499464014,5.31186944588582,5.31186944588582,5.31186944588582,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,1,2,2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6.80323173987458,6.80323173987458,6.80323173987458,6,6,6,5.51917827125172,5.51917827125172,5.51917827125172,7.3271465000839,7.3271465000839,7.3271465000839,8,8,8,6.96949588641816,6.96949588641816,5.99999999999998,5.99999999999998,5.99999999999998,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5.00000000000002,5.00000000000002,5,5,5,5,5,5,5.00000000000001,5.00000000000001,5.00000000000001,5,5,5,5,5,5,5.00000000000002,5.00000000000002,5.20505891361766,5.20505891361766,5.20505891361766,5.58780631426366,5.58780631426366,5.58780631426366,5.63007630228806,5.63007630228806,5.63007630228806,5.99999999999998,5.99999999999998,5.99999999999998,6.89883377299925,6.89883377299925,6.35587148110994,6.35587148110994,6.35587148110994,7,7,7,6.09278963099829,6.09278963099829,6.09278963099829,8.58954206851598,8.58954206851598,9.51903634329351,9.51903634329351,9.51903634329351,8.00000000000002,8.00000000000002,8.00000000000002,8.19655806013347,8.19655806013347,7.99999999999998,7.99999999999998,7.99999999999998,7.94463613563959,7.94463613563959,7,7,7,7,7,7,6.99999999999998,6.99999999999998,6.67008303309457,6.67008303309457,6.67008303309457,6,6,6.00000000000002,6.00000000000002,6.00000000000002,6,6,5.27313417131515,5.27313417131515,5.27313417131515,6,6,6.88769015191357,6.88769015191357,6,6,6,6,6,6,6,6,5.51272210718563,5.51272210718563,5,5,5.93017499464015,5.93017499464015,5.99999999999999,5.99999999999999,5.99999999999999,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,2,2,null,null,null,null,null,4,4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6,6,6,5.99999999999999,5.99999999999999,5.99999999999999,7.32714650008388,7.32714650008388,7.32714650008388,7.82266720216915,7.82266720216915,7.82266720216915,6.96949588641816,6.96949588641816,5.00000000000002,5.00000000000002,5.00000000000002,5.00000000000001,5.00000000000001,5.00000000000001,5,5,5,5,5,5,5,5,5,5,5,5,5.98796810409351,5.98796810409351,5,5,5,5,5,5,5.46798076537577,5.46798076537577,5.46798076537577,5,5,5,5,5,5,5.99211819398118,5.99211819398118,5,5,5,5.41219368573634,5.41219368573634,5.41219368573634,5.36992369771194,5.36992369771194,5.36992369771194,5.1405187751144,5.1405187751144,5.1405187751144,6,6,6.99999999999999,6.99999999999999,6.99999999999999,6.99999999999999,6.99999999999999,6.99999999999999,6.09278963099831,6.09278963099831,6.09278963099831,8,8,9.48096365670647,9.48096365670647,9.48096365670647,8.8492731026975,8.8492731026975,8.8492731026975,8,8,7.00000000000001,7.00000000000001,7.00000000000001,7.94463613563957,7.94463613563957,7,7,7,7,7,7,6.20878523424029,6.20878523424029,6.67008303309457,6.67008303309457,6.67008303309457,6,6,6.99999999999999,6.99999999999999,6.99999999999999,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,5.51272210718563,5.51272210718563,5,5,5.93017499464015,5.93017499464015,5.68813055411422,5.68813055411422,5.68813055411422,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6,6,6,5.48082172874829,5.48082172874829,5.48082172874829,6.3271465000839,6.3271465000839,6.3271465000839,6.82266720216917,6.82266720216917,6.82266720216917,6.96949588641816,6.96949588641816,6,6,6,5.74227406062204,5.74227406062204,5.74227406062204,5,5,5,5,5,5,5,5,5,5.16272331965232,5.16272331965232,5.16272331965232,5.98796810409351,5.98796810409351,5,5,5,5,5,5,6,6,6,5,5,5,5,5,5,6,6,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6.64412851889007,6.64412851889007,6.64412851889007,6.37568129500639,6.37568129500639,6.37568129500639,7.09278963099829,7.09278963099829,7.09278963099829,8,8,8.48096365670649,8.48096365670649,8.48096365670649,8,8,8,8,8,7.43851222614495,7.43851222614495,7.43851222614495,7,7,7,7,7,7,7,7,6,6,6.67008303309457,6.67008303309457,6.67008303309457,6,6,6.34467384971467,6.34467384971467,6.34467384971467,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,5.51272210718563,5.51272210718563,5,5,5.93017499464015,5.93017499464015,5.68813055411422,5.68813055411422,5.68813055411422,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,1,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6,6,6,5.48082172874829,5.48082172874829,5.48082172874829,6.3271465000839,6.3271465000839,6.3271465000839,6.82266720216917,6.82266720216917,6.82266720216917,6,6,5.11422067291187,5.11422067291187,5.11422067291187,5.25772593937796,5.25772593937796,5.25772593937796,5,5,5,5,5,5,5,5,5,6,6,6,5,5,5,5,5,5,5,5,5.46798076537576,5.46798076537576,5.46798076537576,5.64016747071252,5.64016747071252,5.64016747071252,5,5,5,5.00788180601882,5.00788180601882,5,5,5,5,5,5,5.36992369771193,5.36992369771193,5.36992369771193,5,5,5,6,6,6.35587148110993,6.35587148110993,6.35587148110993,6.62431870499361,6.62431870499361,6.62431870499361,8,8,8,8,8,8.48096365670649,8.48096365670649,8.48096365670649,8,8,8,8,8,7,7,7,7,7,6,6,6,6.76776903368617,6.76776903368617,6.76776903368617,6,6,6.67008303309457,6.67008303309457,6.67008303309457,6,6,6.34467384971467,6.34467384971467,6.34467384971467,6.18011330996,6.18011330996,6,6,6,6,6,6,6,5.5024151342506,5.5024151342506,5.5024151342506,6,6,5.19804908948014,5.19804908948014,5.19804908948014,5,5,5.19661815166547,5.19661815166547,5.93017499464015,5.93017499464015,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,1,1,0.99999999999998,0.99999999999998,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6,6,6,5.99999999999999,5.99999999999999,5.99999999999999,6,6,6,6,6,6,6,6,5.11422067291187,5.11422067291187,5.11422067291187,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5.3598325292875,5.3598325292875,5.3598325292875,5,5,5,5.00788180601882,5.00788180601882,5,5,5,5.41219368573633,5.41219368573633,5.41219368573633,5.36992369771193,5.36992369771193,5.36992369771193,6,6,6,5.89883377299927,5.89883377299927,6.64412851889008,6.64412851889008,6.64412851889008,7.00000000000001,7.00000000000001,7.00000000000001,7.18557926199658,7.18557926199658,7.18557926199658,8,8,7.99999999999999,7.99999999999999,7.99999999999999,8.8492731026975,8.8492731026975,8.8492731026975,7.19655806013349,7.19655806013349,7,7,7,7,7,6.34655402619606,6.34655402619606,6.34655402619606,6.76776903368618,6.76776903368618,6.76776903368618,6,6,6.32991696690543,6.32991696690543,6.32991696690543,6.15211906474306,6.15211906474306,6.34467384971468,6.34467384971468,6.34467384971468,6,6,6.72686582868486,6.72686582868486,6.72686582868486,6,6,6,6,5.50241513425061,5.50241513425061,5.50241513425061,6,6,5.19804908948015,5.19804908948015,5.19804908948015,5.48727789281437,5.48727789281437,5.19661815166547,5.19661815166547,5.93017499464013,5.93017499464013,5.99999999999998,5.99999999999998,5.99999999999998,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,0.49999999999999,0.49999999999999,0.999999999999982,0.999999999999982,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6,6,6,5.51917827125171,5.51917827125171,5.51917827125171,6,6,6,6,6,6,6,6,5.11422067291187,5.11422067291187,5.11422067291187,5,5,5,5,5,5,5,5,5,5,5,5,5.16272331965231,5.16272331965231,5.16272331965231,5,5,5,5,5,5,5,5,5,5,5,5.99999999999998,5.99999999999998,5.99999999999998,5.18014251096194,5.18014251096194,5.18014251096194,5.00788180601882,5.00788180601882,5.00000000000002,5.00000000000002,5.00000000000002,5.41219368573634,5.41219368573634,5.41219368573634,5.36992369771194,5.36992369771194,5.36992369771194,5.99999999999998,5.99999999999998,5.99999999999998,6,6,6.99999999999999,6.99999999999999,6.99999999999999,7.37568129500638,7.37568129500638,7.37568129500638,7.09278963099829,7.09278963099829,7.09278963099829,8.205228965742,8.205228965742,7.48096365670649,7.48096365670649,7.48096365670649,8,8,8,7.99999999999998,7.99999999999998,7,7,7,7,7,7,7,7,6.99999999999998,6.99999999999998,6.99999999999998,6.00000000000002,6.00000000000002,6.32991696690543,6.32991696690543,6.32991696690543,6.15211906474306,6.15211906474306,6.99999999999999,6.99999999999999,6.99999999999999,6,6,6.72686582868485,6.72686582868485,6.72686582868485,6,6,6,6,6,6,6,5.85958770538593,5.85958770538593,5.19804908948014,5.19804908948014,5.19804908948014,5.48727789281437,5.48727789281437,5.19661815166547,5.19661815166547,5.06982500535985,5.06982500535985,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,null,null,null,null,0,0,0.0165879702514802,0.0165879702514802,0.085205135010168,0.085205135010168,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5.48082172874829,5.48082172874829,5.48082172874829,6,6,6,6,6,6,6,6,5.00000000000002,5.00000000000002,5.00000000000002,5,5,5,5,5,5,5,5,5,5.00000000000001,5.00000000000001,5.00000000000001,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5.00000000000002,5.00000000000002,5.00000000000002,5.00000000000002,5.00000000000002,6,6,6,5.99999999999999,5.99999999999999,5.99999999999999,5.99999999999999,5.99999999999999,5.99999999999999,5.00000000000002,5.00000000000002,5.00000000000002,6,6,6.64412851889008,6.64412851889008,6.64412851889008,7,7,7,7,7,7,7.99999999999998,7.99999999999998,7.48096365670651,7.48096365670651,7.48096365670651,7.8492731026975,7.8492731026975,7.8492731026975,7.19655806013349,7.19655806013349,7,7,7,7,7,7,7,7,6.23223096631383,6.23223096631383,6.23223096631383,7,7,6.32991696690543,6.32991696690543,6.32991696690543,6.15211906474306,6.15211906474306,6.65532615028533,6.65532615028533,6.65532615028533,6,6,6,6,6,6,6,6,6,6,6,6,null,null,5.00000000000002,5.00000000000002,5.00000000000002,5.48727789281436,5.48727789281436,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,0,0,0,0,0,2.00728322852231e-14,2.00728322852231e-14,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5.4808217287483,5.4808217287483,5.4808217287483,6,6,6,5.99999999999998,5.99999999999998,5.99999999999998,6,6,5.88577932708811,5.88577932708811,5.88577932708811,5.25772593937796,5.25772593937796,5.25772593937796,5,5,5,5,5,5,5.31021148640251,5.31021148640251,5.31021148640251,5,5,5,5,5,5,5,5,5,5,5,5.00000000000001,5.00000000000001,5.00000000000001,5,5,5,5.99999999999998,5.99999999999998,5.99999999999998,6,6,5.99999999999998,5.99999999999998,5.99999999999998,5.41219368573634,5.41219368573634,5.41219368573634,5.63007630228808,5.63007630228808,5.63007630228808,6,6,6,6,6,7.3558714811099,7.3558714811099,7.3558714811099,6.99999999999999,6.99999999999999,6.99999999999999,7,7,7,7,7,8.48096365670647,8.48096365670647,8.48096365670647,7,7,7,8,8,7,7,7,7,7,7,7,7,6.23223096631384,6.23223096631384,6.23223096631384,7,7,6.32991696690543,6.32991696690543,6.32991696690543,6.15211906474307,6.15211906474307,6.65532615028534,6.65532615028534,6.65532615028534,6,6,6.00000000000001,6.00000000000001,6.00000000000001,6,6,6,6,5.99999999999999,5.99999999999999,5.99999999999999,5.99999999999998,5.99999999999998,5.80195091051986,5.80195091051986,5.80195091051986,5.00000000000002,5.00000000000002,5,5,5.00000000000002,5.00000000000002,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,0,0,0,0,0,0,0,0,1,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6,6,6,5.17733279783083,5.17733279783083,5.17733279783083,6,6,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5.46798076537576,5.46798076537576,5.46798076537576,5,5,5,5.18014251096194,5.18014251096194,5.18014251096194,6,6,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6.62431870499361,6.62431870499361,6.62431870499361,7,7,7,7,7,7.48096365670649,7.48096365670649,7.48096365670649,7,7,7,8,8,7,7,7,7,7,7,7,7,7,7,7,7,7,6.32991696690543,6.32991696690543,6.32991696690543,7,7,7,7,7,6.18011330996,6.18011330996,6.27313417131514,6.27313417131514,6.27313417131514,6,6,6,6,5.4975848657494,5.4975848657494,5.4975848657494,5,5,6,6,6,6,6,5.19661815166547,5.19661815166547,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5.99999999999999,5.99999999999999,5.99999999999999,5.17733279783084,5.17733279783084,5.17733279783084,6,6,5,5,5,5,5,5,5,5,5,4.99999999999999,4.99999999999999,4.99999999999999,5.00000000000001,5.00000000000001,5.00000000000001,5,5,5,5,5,5,5,5,5.69754493705112,5.69754493705112,5.69754493705112,5,5,5,5.64016747071251,5.64016747071251,5.64016747071251,6,6,6,6,6,5.20505891361768,5.20505891361768,5.20505891361768,6,6,6,5.36992369771194,5.36992369771194,5.36992369771194,6.14051877511437,6.14051877511437,6.14051877511437,6,6,7,7,7,6.99999999999999,6.99999999999999,6.99999999999999,7.09278963099829,7.09278963099829,7.09278963099829,7,7,7.51903634329349,7.51903634329349,7.51903634329349,7.8492731026975,7.8492731026975,7.8492731026975,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,6,6,6,7,7,6.99999999999999,6.99999999999999,6.99999999999999,6.18011330996,6.18011330996,6.72686582868486,6.72686582868486,6.72686582868486,6,6,5.88769015191359,5.88769015191359,5.4975848657494,5.4975848657494,5.4975848657494,5.85958770538594,5.85958770538594,null,null,null,5,5,5.99999999999998,5.99999999999998,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.99999999999996,0.99999999999996,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5.32714650008393,5.32714650008393,5.32714650008393,6,6,6,5.96949588641812,5.96949588641812,5,5,5,5,5,5,5,5,5,4.4553764965106,4.4553764965106,4.4553764965106,5.3102114864025,5.3102114864025,5.3102114864025,5,5,5,5,5,5.00000000000003,5.00000000000003,5.00000000000003,5,5,5,5,5,5,5.3598325292875,5.3598325292875,5.3598325292875,6,6,6,5.99999999999996,5.99999999999996,5.99999999999996,5.99999999999996,5.99999999999996,6,6,6,6,6,6,6,6,6,6.00000000000004,6.00000000000004,7,7,7,6.37568129500642,6.37568129500642,6.37568129500642,7.09278963099829,7.09278963099829,7.09278963099829,7.205228965742,7.205228965742,6.51903634329351,6.51903634329351,6.51903634329351,7,7,7,7.00000000000004,7.00000000000004,7,7,7,6.99999999999996,6.99999999999996,7,7,7,7,7,7,7,7,6.00000000000004,6.00000000000004,6.00000000000004,6.99999999999996,6.99999999999996,6.34467384971467,6.34467384971467,6.34467384971467,6.18011330996,6.18011330996,6.72686582868483,6.72686582868483,6.72686582868483,6,6,6,6,5.49758486574938,5.49758486574938,5.49758486574938,5.8595877053859,5.8595877053859,null,null,null,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5.99999999999999,5.99999999999999,5.99999999999999,5.99999999999998,5.99999999999998,5.99999999999998,5.00000000000002,5.00000000000002,5.11422067291187,5.11422067291187,5.11422067291187,5,5,5,5,5,5,4.99999999999999,4.99999999999999,4.99999999999999,5,5,5,5,5,5,5,5,5.85726206063033,5.85726206063033,5.85726206063033,5,5,5,5,5,5,5.6401674707125,5.6401674707125,5.6401674707125,6,6,6,5,5,5.00000000000002,5.00000000000002,5.00000000000002,6,6,6,6,6,6,6,6,6,6.99999999999998,6.99999999999998,6.99999999999999,6.99999999999999,6.99999999999999,7,7,7,7,7,7,7.20522896574202,7.20522896574202,6.51903634329352,6.51903634329352,6.51903634329352,7,7,7,7.99999999999998,7.99999999999998,6.99999999999999,6.99999999999999,6.99999999999999,6,6,7,7,7,7,7,7,7,7,6.99999999999998,6.99999999999998,6.99999999999998,6,6,6.34467384971466,6.34467384971466,6.34467384971466,6,6,6,6,6,5.99999999999999,5.99999999999999,5.88769015191357,5.88769015191357,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5.6728534999161,5.6728534999161,5.6728534999161,5,5,5,5.96949588641816,5.96949588641816,5.11422067291187,5.11422067291187,5.11422067291187,5,5,5,5,5,5,4.45537649651058,4.45537649651058,4.45537649651058,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,5,5,5.79494108638234,5.79494108638234,5.79494108638234,6,6,6,6,6,6,6.14051877511438,6.14051877511438,6.14051877511438,6,6,6.35587148110993,6.35587148110993,6.35587148110993,7,7,7,7,7,7,8,8,7,7,7,7,7,7,7,7,6.56148777385505,6.56148777385505,6.56148777385505,6,6,7,7,7,7,7,7,7,7,6,6,6,6,6,6.34467384971467,6.34467384971467,6.34467384971467,6,6,6,6,6,5.70405462772165,5.70405462772165,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,1,1,1,1,1,1,1,2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5,5,5,6,6,6,5,5,5,5,5,6,6,6,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,5.63007630228807,5.63007630228807,5.63007630228807,6,6,6,6,6,7,7,7,7.37568129500639,7.37568129500639,7.37568129500639,7,7,7,8,8,7,7,7,7,7,7,6,6,7,7,7,6.05536386436041,6.05536386436041,6,6,6,6,6,6,6.7912147657597,6.7912147657597,6.67008303309457,6.67008303309457,6.67008303309457,6,6,7,7,7,6.18011330996,6.18011330996,6,6,6,6,6,5.88769015191359,5.88769015191359,5,5,5,5.85958770538594,5.85958770538594,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,0.143340131035268,0.143340131035268,1,1,1,1,1,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5,5,5,6,6,6,5.96949588641816,5.96949588641816,5.00000000000002,5.00000000000002,5.00000000000002,5.99999999999998,5.99999999999998,5.99999999999998,5,5,5,5,5,5,5.00000000000001,5.00000000000001,5.00000000000001,5.00000000000002,5.00000000000002,5.00000000000002,5,5,5,5,5,5,5,5,5,5,5,5.6401674707125,5.6401674707125,5.6401674707125,5.00000000000002,5.00000000000002,5.00000000000002,5.99999999999998,5.99999999999998,5.99999999999998,5.99999999999998,5.99999999999998,6,6,6,5.63007630228806,5.63007630228806,5.63007630228806,6.14051877511437,6.14051877511437,6.14051877511437,6,6,7,7,7,7.37568129500638,7.37568129500638,7.37568129500638,7,7,7,7.99999999999998,7.99999999999998,7,7,7,7,7,7,6.99999999999998,6.99999999999998,7,7,7,6,6,6,6,6,6.99999999999998,6.99999999999998,6.99999999999998,6,6,6,6,6,6.00000000000002,6.00000000000002,6.99999999999999,6.99999999999999,6.99999999999999,6.18011330996002,6.18011330996002,6,6,6,6,6,5.88769015191357,5.88769015191357,5.4975848657494,5.4975848657494,5.4975848657494,5.00000000000002,5.00000000000002,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,1,1,1,1,1,1,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999999,5.99999999999999,5.99999999999999,5,5,5,6,6,6,6,6,6,6,6,5,5,5,5,5,5,5,5,5,5.68978851359747,5.68978851359747,5.68978851359747,5.83727668034767,5.83727668034767,5.83727668034767,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5.81985748903806,5.81985748903806,5.81985748903806,5.00788180601882,5.00788180601882,5,5,5,6,6,6,5.36992369771192,5.36992369771192,5.36992369771192,6,6,6,6,6,6.99999999999999,6.99999999999999,6.99999999999999,7,7,7,7,7,7,6.99999999999998,6.99999999999998,7,7,7,7,7,7,6.00000000000002,6.00000000000002,7,7,7,6,6,6,6,6,6,6,6,6,6,6.00000000000001,6.00000000000001,6.00000000000001,6.84788093525694,6.84788093525694,6.34467384971468,6.34467384971468,6.34467384971468,7,7,6,6,6,6,6,5,5,5.49758486574939,5.49758486574939,5.49758486574939,5.99999999999998,5.99999999999998,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,1,1,1,1,1,1,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.51917827125171,5.51917827125171,5.51917827125171,5,5,5,6,6,6,5.99999999999998,5.99999999999998,5.88577932708811,5.88577932708811,5.88577932708811,5,5,5,5,5,5,5,5,5,5,5,5,5.16272331965233,5.16272331965233,5.16272331965233,5,5,5,5,5,5.00000000000001,5.00000000000001,5.00000000000001,5,5,5,5,5,5,5.81985748903805,5.81985748903805,5.81985748903805,5,5,5,5,5,6,6,6,5,5,5,6,6,6,6,6,6.64412851889007,6.64412851889007,6.64412851889007,6.99999999999999,6.99999999999999,6.99999999999999,6.90721036900171,6.90721036900171,6.90721036900171,6.20522896574202,6.20522896574202,7,7,7,7,7,7,7,7,7,7,7,6.00000000000002,6.00000000000002,6.00000000000001,6.00000000000001,6.00000000000001,6,6,6,6,6,6.32991696690543,6.32991696690543,6.32991696690543,6.99999999999998,6.99999999999998,7,7,7,7,7,6,6,6,6,6,5.11230984808641,5.11230984808641,5.00000000000002,5.00000000000002,5.00000000000002,5.14041229461408,5.14041229461408,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,1,1,1,1,1,1,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.51917827125169,5.51917827125169,5.51917827125169,5,5,5,5.99999999999999,5.99999999999999,5.99999999999999,5.00000000000004,5.00000000000004,5,5,5,5.25772593937796,5.25772593937796,5.25772593937796,5,5,5,5,5,5,5,5,5,5.83727668034765,5.83727668034765,5.83727668034765,5,5,5,5,5,5.30245506294886,5.30245506294886,5.30245506294886,5,5,5,5,5,5,5.18014251096193,5.18014251096193,5.18014251096193,5,5,5,5,5,6,6,6,5.00000000000004,5.00000000000004,5.00000000000004,6,6,6,5.89883377299927,5.89883377299927,6.64412851889007,6.64412851889007,6.64412851889007,6.37568129500638,6.37568129500638,6.37568129500638,7,7,7,7.00000000000004,7.00000000000004,7.00000000000002,7.00000000000002,7.00000000000002,7,7,7,7,7,6.99999999999996,6.99999999999996,6.99999999999996,7,7,6.34655402619605,6.34655402619605,6.34655402619605,6.00000000000003,6.00000000000003,6.00000000000003,6,6,6.32991696690545,6.32991696690545,6.32991696690545,6.15211906474305,6.15211906474305,7,7,7,7.00000000000001,7.00000000000001,6,6,6,6,6,5.11230984808641,5.11230984808641,5.99999999999998,5.99999999999998,5.99999999999998,5.8595877053859,5.8595877053859,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,0,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,1,1,1,1,1,1,1,0.99999999999998,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5.82266720216917,5.82266720216917,5.82266720216917,5.96949588641817,5.96949588641817,5,5,5,5.25772593937797,5.25772593937797,5.25772593937797,5,5,5,5,5,5,5,5,5,5,5,5,4.99999999999998,4.99999999999998,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5.00788180601882,5.00788180601882,5,5,5,6.00000000000001,6.00000000000001,6.00000000000001,6,6,6,6,6,6,6,6,6.64412851889008,6.64412851889008,6.64412851889008,5.99999999999999,5.99999999999999,5.99999999999999,7,7,7,8.00000000000002,8.00000000000002,7.4809636567065,7.4809636567065,7.4809636567065,7,7,7,6.99999999999999,6.99999999999999,5.99999999999998,5.99999999999998,5.99999999999998,6.99999999999998,6.99999999999998,6.65344597380397,6.65344597380397,6.65344597380397,6.76776903368617,6.76776903368617,6.76776903368617,6,6,6.67008303309458,6.67008303309458,6.67008303309458,5.99999999999998,5.99999999999998,7.00000000000001,7.00000000000001,7.00000000000001,7.18011330996001,7.18011330996001,6,6,6,6,6,5.11230984808639,5.11230984808639,5.5024151342506,5.5024151342506,5.5024151342506,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,1,1,1,1,1,2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5.82266720216917,5.82266720216917,5.82266720216917,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5.41219368573633,5.41219368573633,5.41219368573633,6,6,6,6,6,6,6,6,6,6,6,6.37568129500639,6.37568129500639,6.37568129500639,7,7,7,6.79477103425799,6.79477103425799,7,7,7,7,7,7,7.19655806013347,7.19655806013347,7,7,7,7.94463613563959,7.94463613563959,6,6,6,7,7,7,6,6,6,6,6,6.84788093525694,6.84788093525694,6.34467384971467,6.34467384971467,6.34467384971467,7,7,6,6,6,6,6,6,6,5.5024151342506,5.5024151342506,5.5024151342506,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,0,0,0,null,null,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,1,1.78634838135424,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5.3271465000839,5.3271465000839,5.3271465000839,5.17733279783086,5.17733279783086,5.17733279783086,5.96949588641812,5.96949588641812,5,5,5,5,5,5,5.59910204562638,5.59910204562638,5.59910204562638,5.5446235034894,5.5446235034894,5.5446235034894,5.00000000000003,5.00000000000003,5.00000000000003,5.99999999999999,5.99999999999999,5.99999999999999,6,6,5.00000000000004,5.00000000000004,5.00000000000004,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6.09278963099829,6.09278963099829,6.09278963099829,6.99999999999999,6.99999999999999,7.00000000000002,7.00000000000002,7.00000000000002,7,7,7,7,7,6.99999999999998,6.99999999999998,6.99999999999998,7,7,6.65344597380393,6.65344597380393,6.65344597380393,6.00000000000003,6.00000000000003,6.00000000000003,6.00000000000003,6.00000000000003,6,6,6,6,6,7,7,7,7,7,6.4537316573697,6.4537316573697,6.4537316573697,6,6,5.00000000000004,5.00000000000004,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.3271465000839,5.3271465000839,5.3271465000839,5.99999999999998,5.99999999999998,5.99999999999998,5.03050411358184,5.03050411358184,5,5,5,5,5,5,5.00000000000001,5.00000000000001,5.00000000000001,5,5,5,5.68978851359747,5.68978851359747,5.68978851359747,5.83727668034768,5.83727668034768,5.83727668034768,5.9879681040935,5.9879681040935,5.99999999999998,5.99999999999998,5.99999999999998,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5.99999999999998,5.99999999999998,5.99999999999998,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6.79477103425799,6.79477103425799,7.51903634329351,7.51903634329351,7.51903634329351,6.99999999999998,6.99999999999998,6.99999999999998,7,7,6.43851222614497,6.43851222614497,6.43851222614497,7,7,6,6,6,6.76776903368617,6.76776903368617,6.76776903368617,6.7912147657597,6.7912147657597,6,6,6,6,6,6.99999999999999,6.99999999999999,6.99999999999999,7,7,5.72686582868487,5.72686582868487,5.72686582868487,5.99999999999999,5.99999999999999,5.88769015191359,5.88769015191359,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,5.11422067291187,5.11422067291187,5.11422067291187,5,5,5,5.59910204562639,5.59910204562639,5.59910204562639,5.00000000000001,5.00000000000001,5.00000000000001,5.31021148640251,5.31021148640251,5.31021148640251,5.83727668034767,5.83727668034767,5.83727668034767,5.00000000000002,5.00000000000002,5.14273793936965,5.14273793936965,5.14273793936965,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5.00000000000001,5.00000000000001,5.00000000000001,6,6,6,5.99999999999998,5.99999999999998,5.99999999999998,6,6,6.00000000000002,6.00000000000002,6.00000000000002,6,6,6,6,6,6,6.79477103425799,6.79477103425799,7.51903634329351,7.51903634329351,7.51903634329351,6.15072689730248,6.15072689730248,6.15072689730248,7.00000000000002,7.00000000000002,7,7,7,7,7,6,6,6,6.76776903368617,6.76776903368617,6.76776903368617,6.79121476575969,6.79121476575969,6,6,6,6,6,6.34467384971466,6.34467384971466,6.34467384971466,7,7,6,6,6,5.29594537227835,5.29594537227835,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,5,5,5,5.25772593937796,5.25772593937796,5.25772593937796,5,5,5,5.45537649651058,5.45537649651058,5.45537649651058,5.00000000000001,5.00000000000001,5.00000000000001,5,5,5,5.9879681040935,5.9879681040935,5.14273793936965,5.14273793936965,5.14273793936965,5,5,5,5,5,5,5.00000000000001,5.00000000000001,5.00000000000001,5.18014251096194,5.18014251096194,5.18014251096194,5.00788180601882,5.00788180601882,5,5,5,5.41219368573634,5.41219368573634,5.41219368573634,6,6,6,5.14051877511438,5.14051877511438,5.14051877511438,6,6,6.99999999999999,6.99999999999999,6.99999999999999,6,6,6,6,6,6,6.79477103425801,6.79477103425801,7.5190363432935,7.5190363432935,7.5190363432935,6.15072689730249,6.15072689730249,6.15072689730249,8,8,7,7,7,6.94463613563957,6.94463613563957,6,6,6,6.76776903368616,6.76776903368616,6.76776903368616,6,6,6,6,6,6,6,6,6,6,6.99999999999998,6.99999999999998,5.99999999999998,5.99999999999998,5.99999999999998,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000002,5.00000000000002,5.00000000000002,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5.54462350348943,5.54462350348943,5.54462350348943,5.68978851359747,5.68978851359747,5.68978851359747,5,5,5,5,5,5.14273793936966,5.14273793936966,5.14273793936966,5.00000000000001,5.00000000000001,5.00000000000001,5,5,5,5.6401674707125,5.6401674707125,5.6401674707125,5.00000000000002,5.00000000000002,5.00000000000002,5.00000000000002,5.00000000000002,5.20505891361766,5.20505891361766,5.20505891361766,5.99999999999999,5.99999999999999,5.99999999999999,6,6,6,5.00000000000002,5.00000000000002,5.00000000000002,6,6,6.35587148110992,6.35587148110992,6.35587148110992,6,6,6,6,6,6,7.58954206851597,7.58954206851597,6.99999999999999,6.99999999999999,6.99999999999999,7,7,7,7.99999999999998,7.99999999999998,6.99999999999999,6.99999999999999,6.99999999999999,6.05536386436043,6.05536386436043,6.00000000000001,6.00000000000001,6.00000000000001,6,6,6,5.7912147657597,5.7912147657597,6,6,6,5.99999999999998,5.99999999999998,5.99999999999999,5.99999999999999,5.99999999999999,6,6,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,5,5,5,5,5,5,5,5,5.85726206063035,5.85726206063035,5.85726206063035,5.69754493705113,5.69754493705113,5.69754493705113,5,5,5,5,5,5,5.81985748903806,5.81985748903806,5.81985748903806,5.99211819398118,5.99211819398118,5.20505891361766,5.20505891361766,5.20505891361766,5.41219368573633,5.41219368573633,5.41219368573633,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6.79477103425799,6.79477103425799,6.51903634329351,6.51903634329351,6.51903634329351,7.15072689730248,7.15072689730248,7.15072689730248,7,7,6.56148777385505,6.56148777385505,6.56148777385505,7,7,6.34655402619604,6.34655402619604,6.34655402619604,6,6,6,6,6,6,6,6,5.15211906474306,5.15211906474306,5.34467384971467,5.34467384971467,5.34467384971467,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,5,5,5,6,6,6,5.45537649651057,5.45537649651057,5.45537649651057,5.00000000000002,5.00000000000002,5.00000000000002,5,5,5,5.00000000000002,5.00000000000002,5.85726206063034,5.85726206063034,5.85726206063034,5.69754493705112,5.69754493705112,5.69754493705112,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6.00000000000002,6.00000000000002,6.35587148110993,6.35587148110993,6.35587148110993,6,6,6,6,6,6,6.79477103425798,6.79477103425798,6.48096365670649,6.48096365670649,6.48096365670649,7.15072689730247,7.15072689730247,7.15072689730247,7,7,6.00000000000004,6.00000000000004,6.00000000000004,6.99999999999998,6.99999999999998,6.00000000000001,6.00000000000001,6.00000000000001,6,6,6,6,6,5.99999999999999,5.99999999999999,5.99999999999999,5.99999999999998,5.99999999999998,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,6,6,6,5,5,5,6,6,6,5,5,5,6,6,5.14273793936965,5.14273793936965,5.14273793936965,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6.89883377299927,6.89883377299927,6.35587148110993,6.35587148110993,6.35587148110993,6,6,6,6.09278963099829,6.09278963099829,6.09278963099829,6.20522896574201,6.20522896574201,6.48096365670649,6.48096365670649,6.48096365670649,7,7,7,7,7,8,8,8,6,6,6.65344597380396,6.65344597380396,6.65344597380396,6,6,6,5.7912147657597,5.7912147657597,5.67008303309457,5.67008303309457,5.67008303309457,5,5,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5.00000000000002,5.00000000000002,5.00000000000002,5.40089795437359,5.40089795437359,5.40089795437359,5,5,5,5.31021148640252,5.31021148640252,5.31021148640252,5,5,5,5.01203189590649,5.01203189590649,6,6,6,5.30245506294888,5.30245506294888,5.30245506294888,5.00000000000001,5.00000000000001,5.00000000000001,5.99999999999998,5.99999999999998,5.99999999999998,5.00000000000002,5.00000000000002,5.00000000000002,6,6,6,6,6,6,6,6,5.99999999999999,5.99999999999999,5.99999999999999,5.85948122488562,5.85948122488562,5.85948122488562,6,6,6,6,6,6.37568129500638,6.37568129500638,6.37568129500638,6.00000000000002,6.00000000000002,6.00000000000002,6.205228965742,6.205228965742,6.96192731341297,6.96192731341297,6.96192731341297,6.99999999999998,6.99999999999998,6.99999999999998,7,7,7,7,7,6.00000000000002,6.00000000000002,6.99999999999998,6.99999999999998,6.99999999999998,6,6,6,6,6,5.67008303309456,5.67008303309456,5.67008303309456,5.00000000000002,5.00000000000002,5.34467384971467,5.34467384971467,5.34467384971467,5.18011330996002,5.18011330996002,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,6,6,6,5,5,5,5,5,5,5.31021148640253,5.31021148640253,5.31021148640253,5,5,5,5.0120318959065,5.0120318959065,5.99999999999998,5.99999999999998,5.99999999999998,6,6,6,5.53201923462423,5.53201923462423,5.53201923462423,5.00000000000002,5.00000000000002,5.00000000000002,6,6,6,6,6,6,6,6,6,6,6,5.36992369771194,5.36992369771194,5.36992369771194,6,6,6,6,6,6,6,6,6.00000000000002,6.00000000000002,6.00000000000002,6.90721036900171,6.90721036900171,6.90721036900171,6.20522896574202,6.20522896574202,6.48096365670649,6.48096365670649,6.48096365670649,6.15072689730249,6.15072689730249,6.15072689730249,7,7,6.99999999999999,6.99999999999999,6.99999999999999,6.94463613563957,6.94463613563957,5.99999999999999,5.99999999999999,5.99999999999999,6,6,6,5.99999999999998,5.99999999999998,5.32991696690544,5.32991696690544,5.32991696690544,6,6,5.34467384971468,5.34467384971468,5.34467384971468,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,6,6,6,5.16272331965237,5.16272331965237,5.16272331965237,5.98796810409352,5.98796810409352,5,5,5,5.99999999999994,5.99999999999994,5.99999999999994,5.00000000000003,5.00000000000003,5.00000000000003,6,6,6,6,6,6,6,6,6,6,6,5.99999999999994,5.99999999999994,5.99999999999994,6,6,6,5.99999999999995,5.99999999999995,5.99999999999995,5.99999999999999,5.99999999999999,6,6,6,6.99999999999994,6.99999999999994,6.99999999999994,6.99999999999999,6.99999999999999,6.99999999999999,6.79477103425799,6.79477103425799,6.48096365670652,6.48096365670652,6.48096365670652,6.99999999999995,6.99999999999995,6.99999999999995,6.99999999999995,6.99999999999995,6.56148777385501,6.56148777385501,6.56148777385501,6.00000000000006,6.00000000000006,5.65344597380392,5.65344597380392,5.65344597380392,5.99999999999995,5.99999999999995,5.99999999999995,5.20878523424029,5.20878523424029,6,6,6,5.8478809352569,5.8478809352569,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,6,6,6,6,6,6,6,6,5,5,5,5,5,5,5.53201923462424,5.53201923462424,5.53201923462424,6,6,6,6,6,6,6,6,6,6,6,5,5,5,6,6,6,5.14051877511438,5.14051877511438,5.14051877511438,5.89883377299927,5.89883377299927,6,6,6,6,6,6,6.90721036900171,6.90721036900171,6.90721036900171,6.79477103425799,6.79477103425799,7,7,7,6.15072689730248,6.15072689730248,6.15072689730248,6.19655806013347,6.19655806013347,6,6,6,6.94463613563959,6.94463613563959,5,5,5,5.23223096631383,5.23223096631383,5.23223096631383,5,5,6,6,6,5.15211906474306,5.15211906474306,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5.14273793936965,5.14273793936965,5.14273793936965,5,5,5,5.53201923462424,5.53201923462424,5.53201923462424,6,6,6,5,5,5,5,5,5,5,5,5.58780631426367,5.58780631426367,5.58780631426367,5.63007630228807,5.63007630228807,5.63007630228807,6,6,6,6,6,5.35587148110993,5.35587148110993,5.35587148110993,7,7,7,7,7,7,6.79477103425799,6.79477103425799,7,7,7,7.15072689730248,7.15072689730248,7.15072689730248,6.80344193986653,6.80344193986653,6.56148777385505,6.56148777385505,6.56148777385505,6.94463613563959,6.94463613563959,5.65344597380396,5.65344597380396,5.65344597380396,5.76776903368617,5.76776903368617,5.76776903368617,5.2087852342403,5.2087852342403,6,6,6,6.15211906474306,6.15211906474306,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,5,5,5,5,5.00000000000002,5.00000000000002,6,6,6,5,5,5,5,5,5,5.99999999999999,5.99999999999999,5.99999999999999,5.00000000000002,5.00000000000002,5.00000000000002,5.00000000000002,5.00000000000002,5.20505891361768,5.20505891361768,5.20505891361768,5.58780631426367,5.58780631426367,5.58780631426367,6,6,6,6,6,6,6,6,6,6,6,6.37568129500639,6.37568129500639,6.37568129500639,6.90721036900169,6.90721036900169,6.90721036900169,6,6,6.99999999999999,6.99999999999999,6.99999999999999,6.15072689730248,6.15072689730248,6.15072689730248,7,7,6.43851222614494,6.43851222614494,6.43851222614494,6,6,5.34655402619605,5.34655402619605,5.34655402619605,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,5,5.98796810409351,5.98796810409351,6,6,6,5,5,5,5,5,5,5.64016747071252,5.64016747071252,5.64016747071252,5.81985748903806,5.81985748903806,5.81985748903806,6,6,6,6,6,5.58780631426367,5.58780631426367,5.58780631426367,6,6,6,6,6,6,6,6,6,6,6,6.37568129500639,6.37568129500639,6.37568129500639,6,6,6,6.20522896574201,6.20522896574201,6.48096365670649,6.48096365670649,6.48096365670649,6.15072689730248,6.15072689730248,6.15072689730248,6.80344193986653,6.80344193986653,6,6,6,5.94463613563959,5.94463613563959,5.65344597380396,5.65344597380396,5.65344597380396,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,5,5,5,5,5.99999999999998,5.99999999999998,6,6,6,5.69754493705113,5.69754493705113,5.69754493705113,5.00000000000001,5.00000000000001,5.00000000000001,5.99999999999999,5.99999999999999,5.99999999999999,5.18014251096194,5.18014251096194,5.18014251096194,6,6,5.00000000000002,5.00000000000002,5.00000000000002,5.99999999999999,5.99999999999999,5.99999999999999,5.36992369771193,5.36992369771193,5.36992369771193,6,6,6,5.10116622700075,5.10116622700075,5.64412851889007,5.64412851889007,5.64412851889007,6,6,6,6.90721036900169,6.90721036900169,6.90721036900169,6,6,6.4809636567065,6.4809636567065,6.4809636567065,6.8492731026975,6.8492731026975,6.8492731026975,6,6,6.56148777385505,6.56148777385505,6.56148777385505,5.00000000000002,5.00000000000002,5.65344597380397,5.65344597380397,5.65344597380397,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5.00000000000006,5.00000000000006,5.00000000000006,5,5,5,5.01203189590654,5.01203189590654,5.85726206063031,5.85726206063031,5.85726206063031,5.6975449370511,5.6975449370511,5.6975449370511,5.53201923462424,5.53201923462424,5.53201923462424,5.64016747071254,5.64016747071254,5.64016747071254,5.00000000000001,5.00000000000001,5.00000000000001,6,6,6,6,6,5.58780631426369,5.58780631426369,5.58780631426369,5.36992369771197,5.36992369771197,5.36992369771197,6,6,6,5.99999999999999,5.99999999999999,5.64412851889003,5.64412851889003,5.64412851889003,5.99999999999996,5.99999999999996,5.99999999999996,6.00000000000006,6.00000000000006,6.00000000000006,5.79477103425801,5.79477103425801,6.99999999999997,6.99999999999997,6.99999999999997,6.00000000000001,6.00000000000001,6.00000000000001,6,6,6.99999999999997,6.99999999999997,6.99999999999997,5.94463613563959,5.94463613563959,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,6.00000000000002,6.00000000000002,6.00000000000002,5,5,5,6,6,5.14273793936963,5.14273793936963,5.14273793936963,5.30245506294886,5.30245506294886,5.30245506294886,5.53201923462423,5.53201923462423,5.53201923462423,6,6,6,5.18014251096192,5.18014251096192,5.18014251096192,6,6,6.00000000000002,6.00000000000002,6.00000000000002,6,6,6,6,6,6,6,6,6,5.89883377299927,5.89883377299927,4.99999999999998,4.99999999999998,4.99999999999998,5.37568129500638,5.37568129500638,5.37568129500638,6.90721036900173,6.90721036900173,6.90721036900173,6,6,6.4809636567065,6.4809636567065,6.4809636567065,6.15072689730248,6.15072689730248,6.15072689730248,6,6,6.43851222614495,6.43851222614495,6.43851222614495,5.94463613563961,5.94463613563961,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,5,6,6,6,6,6,5.69754493705113,5.69754493705113,5.69754493705113,6,6,6,6,6,6,6,6,6,6,6,5,5,5,6,6,6,6,6,6,6,6,6,5.89883377299927,5.89883377299927,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6.15072689730248,6.15072689730248,6.15072689730248,6,6,6.56148777385505,6.56148777385505,6.56148777385505,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5.16272331965232,5.16272331965232,5.16272331965232,5.98796810409351,5.98796810409351,5,5,5,5.69754493705113,5.69754493705113,5.69754493705113,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,5,5,5,5.85948122488562,5.85948122488562,5.85948122488562,6,6,5.64412851889007,5.64412851889007,5.64412851889007,6,6,6,6,6,6,5.79477103425799,5.79477103425799,6,6,6,6,6,6,6,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,5,5.98796810409351,5.98796810409351,5.14273793936965,5.14273793936965,5.14273793936965,5.69754493705113,5.69754493705113,5.69754493705113,6,6,6,5.35983252928748,5.35983252928748,5.35983252928748,6,6,6,5,5,5.20505891361766,5.20505891361766,5.20505891361766,6,6,6,5.36992369771193,5.36992369771193,5.36992369771193,5,5,5,5.10116622700073,5.10116622700073,6,6,6,6,6,6,6,6,6,5.20522896574201,5.20522896574201,6,6,6,5.84927310269752,5.84927310269752,5.84927310269752,5.19655806013347,5.19655806013347,5.56148777385505,5.56148777385505,5.56148777385505,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5.00000000000005,5.00000000000005,5.00000000000005,5.99999999999994,5.99999999999994,5,5,5,6,6,6,5.99999999999997,5.99999999999997,5.99999999999997,6,6,6,6,6,6,5.99211819398118,5.99211819398118,5.99999999999999,5.99999999999999,5.99999999999999,5.58780631426369,5.58780631426369,5.58780631426369,5.00000000000002,5.00000000000002,5.00000000000002,5.85948122488563,5.85948122488563,5.85948122488563,5.99999999999995,5.99999999999995,6,6,6,6,6,6,6,6,6,5.79477103425801,5.79477103425801,5.99999999999997,5.99999999999997,5.99999999999997,6,6,6,5.19655806013352,5.19655806013352,5.43851222614495,5.43851222614495,5.43851222614495,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5.83727668034763,5.83727668034763,5.83727668034763,5.00000000000006,5.00000000000006,5,5,5,6,6,6,5.53201923462427,5.53201923462427,5.53201923462427,6,6,6,5.99999999999995,5.99999999999995,5.99999999999995,5.99211819398118,5.99211819398118,5.79494108638229,5.79494108638229,5.79494108638229,6,6,6,5.36992369771191,5.36992369771191,5.36992369771191,5.99999999999995,5.99999999999995,5.99999999999995,5.10116622700078,5.10116622700078,6,6,6,6,6,6,6,6,6,5.99999999999999,5.99999999999999,5.51903634329354,5.51903634329354,5.51903634329354,6,6,6,5.99999999999995,5.99999999999995,5.43851222614499,5.43851222614499,5.43851222614499,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,4.99999999999998,4.99999999999998,4.99999999999998,5,5,5,5.98796810409351,5.98796810409351,5,5,5,6.00000000000001,6.00000000000001,6.00000000000001,6.00000000000001,6.00000000000001,6.00000000000001,6.00000000000001,6.00000000000001,6.00000000000001,5.18014251096192,5.18014251096192,5.18014251096192,6,6,4.99999999999998,4.99999999999998,4.99999999999998,6.00000000000001,6.00000000000001,6.00000000000001,4.99999999999998,4.99999999999998,4.99999999999998,5.14051877511436,5.14051877511436,5.14051877511436,5.89883377299926,5.89883377299926,6,6,6,6,6,6,6.00000000000002,6.00000000000002,6.00000000000002,5.794771034258,5.794771034258,6,6,6,6,6,6,5.19655806013347,5.19655806013347,6.00000000000002,6.00000000000002,6.00000000000002,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5,5,5,6,6,5.14273793936965,5.14273793936965,5.14273793936965,5.69754493705112,5.69754493705112,5.69754493705112,5.53201923462423,5.53201923462423,5.53201923462423,5.64016747071251,5.64016747071251,5.64016747071251,6,6,6,6.00000000000002,6.00000000000002,6,6,6,5.41219368573633,5.41219368573633,5.41219368573633,6.00000000000001,6.00000000000001,6.00000000000001,5.85948122488562,5.85948122488562,5.85948122488562,6,6,6,6,6,6,6,6,5.09278963099827,5.09278963099827,5.09278963099827,5.20522896574199,5.20522896574199,6.00000000000001,6.00000000000001,6.00000000000001,5.84927310269752,5.84927310269752,5.84927310269752,5.19655806013347,5.19655806013347,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5,5,5,6,6,5.14273793936965,5.14273793936965,5.14273793936965,6,6,6,6,6,6,6,6,6,6,6,6,5.00788180601882,5.00788180601882,6,6,6,5.41219368573633,5.41219368573633,5.41219368573633,5.36992369771193,5.36992369771193,5.36992369771193,6,6,6,6,6,6,6,6,6,6,6,6,6,6,5.79477103425799,5.79477103425799,5.51903634329351,5.51903634329351,5.51903634329351,5.84927310269752,5.84927310269752,5.84927310269752,5.19655806013347,5.19655806013347,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5,5,5,6,6,5,5,5,5.3024550629489,5.3024550629489,5.3024550629489,5.46798076537576,5.46798076537576,5.46798076537576,5.3598325292875,5.3598325292875,5.3598325292875,5.00000000000004,5.00000000000004,5.00000000000004,6,6,6,6,6,6,6,6,6,6,6,6.00000000000001,6.00000000000001,6.00000000000001,6,6,6,6,6,5.99999999999996,5.99999999999996,5.99999999999996,6,6,6,5.99999999999999,5.99999999999999,5.99999999999998,5.99999999999998,5.99999999999998,5.00000000000004,5.00000000000004,5.00000000000004,5.8034419398665,5.8034419398665,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5,5,5,5.99999999999996,5.99999999999996,5,5,5,6,6,6,5.53201923462426,5.53201923462426,5.53201923462426,5.64016747071253,5.64016747071253,5.64016747071253,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6.14051877511438,6.14051877511438,6.14051877511438,6,6,6,6,6,5.00000000000004,5.00000000000004,5.00000000000004,5.99999999999996,5.99999999999996,5.99999999999996,5.79477103425797,5.79477103425797,5.51903634329351,5.51903634329351,5.51903634329351,5.99999999999997,5.99999999999997,5.99999999999997,5.19655806013351,5.19655806013351,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5.00000000000006,5.00000000000006,5.00000000000006,5.01203189590649,5.01203189590649,5.00000000000006,5.00000000000006,5.00000000000006,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6.00000000000001,6.00000000000001,6.00000000000001,6,6,6,6,6,6,6.14051877511437,6.14051877511437,6.14051877511437,6,6,5.99999999999998,5.99999999999998,5.99999999999998,5.99999999999998,5.99999999999998,5.99999999999998,5.00000000000005,5.00000000000005,5.00000000000005,5.205228965742,5.205228965742,5.51903634329351,5.51903634329351,5.51903634329351,5.15072689730252,5.15072689730252,5.15072689730252,5.99999999999995,5.99999999999995,5.00000000000006,5.00000000000006,5.00000000000006,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.00000000000002,6.00000000000002,6.00000000000002,6.00000000000002,6.00000000000002,6.00000000000002,5.01203189590648,5.01203189590648,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6.20505891361766,6.20505891361766,6.20505891361766,6,6,6,6.00000000000001,6.00000000000001,6.00000000000001,6,6,6,6.00000000000002,6.00000000000002,5.64412851889006,5.64412851889006,5.64412851889006,5.62431870499362,5.62431870499362,5.62431870499362,5.90721036900171,5.90721036900171,5.90721036900171,5.20522896574199,5.20522896574199,5.51903634329351,5.51903634329351,5.51903634329351,5.84927310269752,5.84927310269752,5.84927310269752,5.19655806013348,5.19655806013348,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5.85726206063037,5.85726206063037,5.85726206063037,6,6,6,6,6,6,5.99999999999999,5.99999999999999,5.99999999999999,6,6,6,5.99999999999998,5.99999999999998,5.99999999999999,5.99999999999999,5.99999999999999,6.00000000000001,6.00000000000001,6.00000000000001,5.63007630228806,5.63007630228806,5.63007630228806,6.00000000000002,6.00000000000002,6.00000000000002,5,5,6.00000000000002,6.00000000000002,6.00000000000002,5,5,5,5.90721036900172,5.90721036900172,5.90721036900172,6,6,5.5190363432935,5.5190363432935,5.5190363432935,6.00000000000002,6.00000000000002,6.00000000000002,4.99999999999998,4.99999999999998,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5.00000000000001,5.00000000000001,5.00000000000001,6,6,6,6,6,6,6.35983252928748,6.35983252928748,6.35983252928748,6,6,6,7,7,6.20505891361765,6.20505891361765,6.20505891361765,5.58780631426367,5.58780631426367,5.58780631426367,6,6,6,5.14051877511441,5.14051877511441,5.14051877511441,5,5,5.00000000000004,5.00000000000004,5.00000000000004,5.00000000000002,5.00000000000002,5.00000000000002,5.09278963099833,5.09278963099833,5.09278963099833,6.00000000000001,6.00000000000001,5.99999999999998,5.99999999999998,5.99999999999998,5.15072689730251,5.15072689730251,5.15072689730251,5.99999999999999,5.99999999999999,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000003,5.00000000000003,5.00000000000003,5.01203189590652,5.01203189590652,5.14273793936968,5.14273793936968,5.14273793936968,6,6,6,6,6,6,6.35983252928747,6.35983252928747,6.35983252928747,6.00000000000001,6.00000000000001,6.00000000000001,6.99211819398114,6.99211819398114,6,6,6,5.58780631426364,5.58780631426364,5.58780631426364,5.99999999999996,5.99999999999996,5.99999999999996,5.99999999999999,5.99999999999999,5.99999999999999,5,5,6,6,6,5.6243187049936,5.6243187049936,5.6243187049936,6,6,6,6.20522896574201,6.20522896574201,5.51903634329351,5.51903634329351,5.51903634329351,6,6,6,5.80344193986653,5.80344193986653,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.83727668034765,5.83727668034765,5.83727668034765,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6.18014251096196,6.18014251096196,6.18014251096196,5.99999999999996,5.99999999999996,5.99999999999996,5.99999999999996,5.99999999999996,5.00000000000004,5.00000000000004,5.00000000000004,5.00000000000004,5.00000000000004,5.00000000000004,5.85948122488563,5.85948122488563,5.85948122488563,5,5,6,6,6,5.37568129500642,5.37568129500642,5.37568129500642,6.09278963099829,6.09278963099829,6.09278963099829,6.205228965742,6.205228965742,5.48096365670647,5.48096365670647,5.48096365670647,5.99999999999997,5.99999999999997,5.99999999999997,5.80344193986653,5.80344193986653,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000004,5.00000000000004,5.00000000000004,5.98796810409352,5.98796810409352,5.99999999999999,5.99999999999999,5.99999999999999,5.99999999999997,5.99999999999997,5.99999999999997,6,6,6,6,6,6,6.81985748903806,6.81985748903806,6.81985748903806,5.00788180601886,5.00788180601886,5,5,5,5.99999999999996,5.99999999999996,5.99999999999996,5.99999999999998,5.99999999999998,5.99999999999998,6,6,6,5,5,5.99999999999996,5.99999999999996,5.99999999999996,6,6,6,5.99999999999996,5.99999999999996,5.99999999999996,6,6,5.00000000000002,5.00000000000002,5.00000000000002,5.15072689730249,5.15072689730249,5.15072689730249,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6.00000000000002,6.00000000000002,5.85726206063037,5.85726206063037,5.85726206063037,5.30245506294886,5.30245506294886,5.30245506294886,6.00000000000001,6.00000000000001,6.00000000000001,6,6,6,6.81985748903806,6.81985748903806,6.81985748903806,6,6,4.99999999999998,4.99999999999998,4.99999999999998,4.99999999999999,4.99999999999999,4.99999999999999,5.63007630228806,5.63007630228806,5.63007630228806,6,6,6,5,5,4.99999999999999,4.99999999999999,4.99999999999999,6,6,6,5.09278963099827,5.09278963099827,5.09278963099827,6,6,5.51903634329351,5.51903634329351,5.51903634329351,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999998,5.99999999999998,5.99999999999998,5.01203189590649,5.01203189590649,5.00000000000002,5.00000000000002,5.00000000000002,5.99999999999999,5.99999999999999,5.99999999999999,5.46798076537577,5.46798076537577,5.46798076537577,6,6,6,7,7,7,6,6,5.79494108638233,5.79494108638233,5.79494108638233,5.58780631426368,5.58780631426368,5.58780631426368,5.99999999999998,5.99999999999998,5.99999999999998,5.8594812248856,5.8594812248856,5.8594812248856,5,5,5.35587148110994,5.35587148110994,5.35587148110994,5.99999999999999,5.99999999999999,5.99999999999999,5.99999999999998,5.99999999999998,5.99999999999998,6,6,5.48096365670649,5.48096365670649,5.48096365670649,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.16272331965233,5.16272331965233,5.16272331965233,5.00000000000002,5.00000000000002,5.99999999999998,5.99999999999998,5.99999999999998,5.30245506294888,5.30245506294888,5.30245506294888,6,6,6,6.00000000000002,6.00000000000002,6.00000000000002,7,7,7,6,6,5.20505891361768,5.20505891361768,5.20505891361768,5.99999999999999,5.99999999999999,5.99999999999999,5,5,5,5,5,5,5.00000000000002,5.00000000000002,5.99999999999999,5.99999999999999,5.99999999999999,5.62431870499362,5.62431870499362,5.62431870499362,5.09278963099831,5.09278963099831,5.09278963099831,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999996,5.99999999999996,5.99999999999996,5.98796810409352,5.98796810409352,5.00000000000001,5.00000000000001,5.00000000000001,6,6,6,6,6,6,7,7,7,7,7,7,6,6,6,6,6,5.58780631426367,5.58780631426367,5.58780631426367,5,5,5,5,5,5,6,6,5.35587148110996,5.35587148110996,5.35587148110996,6,6,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000002,5.00000000000002,5.00000000000002,5.99999999999998,5.99999999999998,5.14273793936966,5.14273793936966,5.14273793936966,6,6,6,5.99999999999999,5.99999999999999,5.99999999999999,7,7,7,7,7,7,6.00788180601884,6.00788180601884,6,6,6,5.58780631426366,5.58780631426366,5.58780631426366,5.00000000000001,5.00000000000001,5.00000000000001,5.00000000000002,5.00000000000002,5.00000000000002,5.89883377299927,5.89883377299927,5.99999999999998,5.99999999999998,5.99999999999998,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5,5,6,6,6,6,6,6,5.53201923462424,5.53201923462424,5.53201923462424,6.99999999999996,6.99999999999996,6.99999999999996,6.99999999999999,6.99999999999999,6.99999999999999,6.99211819398114,6.99211819398114,6.00000000000001,6.00000000000001,6.00000000000001,5,5,5,5.36992369771194,5.36992369771194,5.36992369771194,5.85948122488561,5.85948122488561,5.85948122488561,6,6,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5.01203189590648,5.01203189590648,6,6,6,6,6,6,5.46798076537576,5.46798076537576,5.46798076537576,6.00000000000004,6.00000000000004,6.00000000000004,6.81985748903807,6.81985748903807,6.81985748903807,6.00000000000004,6.00000000000004,6.20505891361765,6.20505891361765,6.20505891361765,5,5,5,5.49999999999999,5.49999999999999,5.49999999999999,5.50000000000001,5.50000000000001,5.50000000000001,6,6,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6,6,6,6,6,6,6,6,6.64016747071252,6.64016747071252,6.64016747071252,6.81985748903806,6.81985748903806,6.81985748903806,6,6,6.20505891361766,6.20505891361766,6.20505891361766,5.41219368573633,5.41219368573633,5.41219368573633,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,6,6,6,6,6,6,6.46798076537576,6.46798076537576,6.46798076537576,6.00000000000001,6.00000000000001,6.00000000000001,6.81985748903804,6.81985748903804,6.81985748903804,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000002,5.00000000000002,5.85726206063036,5.85726206063036,5.85726206063036,6.00000000000001,6.00000000000001,6.00000000000001,6.46798076537575,6.46798076537575,6.46798076537575,6.35983252928748,6.35983252928748,6.35983252928748,6,6,6,6,6,5.79494108638234,5.79494108638234,5.79494108638234,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999996,5.99999999999996,6,6,6,6.30245506294886,6.30245506294886,6.30245506294886,6,6,6,6,6,6,6,6,6,5.99999999999996,5.99999999999996,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6.00000000000001,6.00000000000001,6.00000000000001,6,6,6,6,6,6,6,6,6,5.00788180601884,5.00788180601884,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6.69754493705113,6.69754493705113,6.69754493705113,6,6,6,6,6,6,5.81985748903806,5.81985748903806,5.81985748903806,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5.69754493705114,5.69754493705114,5.69754493705114,6,6,6,5.99999999999998,5.99999999999998,5.99999999999998,5.81985748903804,5.81985748903804,5.81985748903804,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.85726206063035,5.85726206063035,5.85726206063035,6,6,6,6,6,6,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.85726206063035,5.85726206063035,5.85726206063035,5.30245506294888,5.30245506294888,5.30245506294888,5.53201923462424,5.53201923462424,5.53201923462424,5.00000000000001,5.00000000000001,5.00000000000001,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5.46798076537577,5.46798076537577,5.46798076537577,5.35983252928749,5.35983252928749,5.35983252928749,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,null,null,null,null,null,null,null,null,null,1,1.99999999999999,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,null,null,null,null,null,null,null,null,null,null,1,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,0.99999999999998,0.99999999999998,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,1,1,1,3.01092484278346e-14,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,1,0.999999999999981,null,1.99999999999997,null,4,4,4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,0,0,0,null,0,null,null,null,null,null,null,null,null,null,null,null,0.358188418688243,4.0145664570443e-14,1.04579273239837,2.99999999999996,3.99999999999994,3.99999999999994,3.99999999999996,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,0.999999999999974,0.99999999999996,1.02289636619919,2.00000000000004,2.48121958162132,2.48121958162132,3.00000000000004,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,1,2.00000000000003,2.00000000000003,2,2,1.99999999999997,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,0,0,0,null,null,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.999999999999998,0.99999999999993,1.96243916324249,1.96243916324249,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,0,0,0,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,0.977103633800814,0,1.44365874486379,1.44365874486379,3.00000000000005,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,0,0,0,0,null,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,0.977103633800745,0,1.44365874486372,1.44365874486372,3.73994663395344,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,0,0,0,0,0,0,0,0,0,null,null,0,0,0,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1.00000000000001,0,0,0.481219581621269,0.481219581621269,1.7399466339536,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,0,0,0,null,null,null,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,0,0,0,null,null,0,0,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,0.177180351960873,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,0,null,0,0,0,0,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.716376837376428,0,0,0,0,0,7.42641234168278e-15,2.00000000000001,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3.59492802741893e-15,0,0,0,4.82971997712443e-15,4.82971997712443e-15,0.739946633953596,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.358188418688211,0,0,0,0.481219581621264,0.481219581621264,2.47989326790717,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,-6.02184968556693e-14,-1.06695344674422e-14,0,0,0.481219581621264,0.481219581621264,3.21983990186087,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.99999999999995,0.177180351960864,0,0,0.481219581621264,0.481219581621264,1.00000000000011,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1.3581884186882,0.177180351960873,0,0,0.481219581621264,0.481219581621264,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.50000000000002,6.50000000000002,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,1.00000000000002,0.177180351960873,0,0,0.481219581621235,0.481219581621235,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000009,5.00000000000009,5.00000000000009,6.00000000000013,6.00000000000013,null,null,null,null,null,null,null,null,null,null,null,6.50000000000001,6.50000000000001,6.50000000000001,6.00000000000009,6.00000000000009,6.00000000000009,6.82166608437134,6.82166608437134,8.49999999999997,8.49999999999997,8.49999999999997,8.49999999999998,8.49999999999998,8.49999999999998,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,2,2,1.35818841868818,0.177180351960862,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.48561792971142,6.48561792971142,6.48561792971142,8.14262492236851,8.14262492236851,8,8,8,7.00000000000009,7.00000000000009,7.00000000000009,null,null,null,null,null,6.6683007524746,6.6683007524746,6.6683007524746,7.41689830539253,7.41689830539253,7.41689830539253,10.8216660843711,10.8216660843711,8.04813704404309,8.04813704404309,8.04813704404309,8.26327658050418,8.26327658050418,8.26327658050418,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,0.716376837376435,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.49999999999998,5.49999999999998,6.00000000000006,6.00000000000006,6.00000000000006,7.51438207028874,7.51438207028874,7.51438207028874,9.14262492236851,9.14262492236851,8.00000000000018,8.00000000000018,8.00000000000018,8.49329579968731,8.49329579968731,8.49329579968731,10.5,10.5,11,11,11,8.33660150494923,8.33660150494923,8.33660150494923,9.41689830539254,9.41689830539254,9.41689830539254,10.178333915629,10.178333915629,9.0481370440431,9.0481370440431,9.0481370440431,10,10,10,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.71637683737645,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.22467945530123,5.22467945530123,6.84610958815998,6.84610958815998,6.84610958815998,9,9,9,10.1426249223684,10.1426249223684,10.8165284375688,10.8165284375688,10.8165284375688,11,11,11,10.7874937216948,10.7874937216948,11,11,11,11.6683007524745,11.6683007524745,11.6683007524745,11.4168983053924,11.4168983053924,11.4168983053924,12,12,9.99999999999998,9.99999999999998,9.99999999999998,10.2632765805041,10.2632765805041,10.2632765805041,7.5,7.5,7.5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,-1.50546242139173e-14,-2.66738361686055e-15,0,-3.647476597978e-15,-1.50546242139173e-14,-1.50546242139173e-14,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999999,5.99999999999999,6.99999999999999,6.99999999999999,6.99999999999999,8.99999999999999,8.99999999999999,8.99999999999999,11,11,11.1834715624311,11.1834715624311,11.1834715624311,12,12,12,11,11,11.9332676358689,11.9332676358689,11.9332676358689,12.6683007524745,12.6683007524745,12.6683007524745,12,12,12,12.1783339156289,12.1783339156289,11,11,11,9.99999999999998,9.99999999999998,9.99999999999998,7.46786315306114,7.46786315306114,7.46786315306114,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,0.177180351960875,0,0.242282806010269,1,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999999,5.99999999999999,5.99999999999999,6.99999999999999,6.99999999999999,7.84610958815997,7.84610958815997,7.84610958815997,9.48561792971135,9.48561792971135,9.48561792971135,11.1426249223684,11.1426249223684,12,12,12,13,13,13,12,12,13,13,13,14,14,14,13.4168983053924,13.4168983053924,13.4168983053924,13.8216660843711,13.8216660843711,13,13,13,11,11,11,8.46786315306115,8.46786315306115,8.46786315306115,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,-5.01820807130577e-15,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,7,7,7,8.00000000000001,8.00000000000001,8.84610958815998,8.84610958815998,8.84610958815998,10,10,10,12,12,12,12,12,13.4932957996871,13.4932957996871,13.4932957996871,13,13,13,13,13,14.6683007524745,14.6683007524745,14.6683007524745,14,14,14,14.8216660843711,14.8216660843711,14,14,14,11.2632765805041,11.2632765805041,11.2632765805041,9.46786315306116,9.46786315306116,9.46786315306116,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,5.01820807130577e-15,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.00000000000001,6.00000000000001,7,7,7,7.00000000000001,7.00000000000001,8.84610958815999,8.84610958815999,8.84610958815999,10.4856179297114,10.4856179297114,10.4856179297114,12,12,12.8165284375688,12.8165284375688,12.8165284375688,13.4932957996871,13.4932957996871,13.4932957996871,13,13,13.9332676358689,13.9332676358689,13.9332676358689,15,15,15,14.4168983053924,14.4168983053924,14.4168983053924,14,14,14,14,14,10.5265531610082,10.5265531610082,10.5265531610082,9.46786315306116,9.46786315306116,9.46786315306116,6.32538137965157,6.32538137965157,6.32538137965157,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,null,null,null,6.00000000000001,6.00000000000001,6.00000000000001,7,7,7.62188415733293,7.62188415733293,7.62188415733293,9,9,9.84610958815998,9.84610958815998,9.84610958815998,11,11,11,12,12,13,13,13,14.5067042003129,14.5067042003129,14.5067042003129,14,14,14.9332676358689,14.9332676358689,14.9332676358689,15,15,15,15.4168983053924,15.4168983053924,15.4168983053924,15,15,14.048137044043,14.048137044043,14.048137044043,11.2632765805041,11.2632765805041,11.2632765805041,9.46786315306116,9.46786315306116,9.46786315306116,7.66269068982577,7.66269068982577,7.66269068982577,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.99999999999998,6.99999999999998,6.99999999999998,7,7,7.62188415733294,7.62188415733294,7.62188415733294,8.99999999999998,8.99999999999998,9.84610958815998,9.84610958815998,9.84610958815998,11,11,11,12,12,12.8165284375689,12.8165284375689,12.8165284375689,15,15,15,14,14,14.9332676358689,14.9332676358689,14.9332676358689,15,15,15,16,16,16,15,15,14,14,14,11.2632765805041,11.2632765805041,11.2632765805041,9.46786315306115,9.46786315306115,9.46786315306115,7.00000000000002,7.00000000000002,7.00000000000002,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000003,5.00000000000003,5.00000000000003,6.47430819382509,6.47430819382509,6.47430819382509,7.0382570919996,7.0382570919996,8,8,8,8.22467945530128,8.22467945530128,9.84610958815998,9.84610958815998,9.84610958815998,11,11,11,12.1426249223684,12.1426249223684,13.8165284375688,13.8165284375688,13.8165284375688,14.4932957996872,14.4932957996872,14.4932957996872,14.2125062783053,14.2125062783053,15.9332676358689,15.9332676358689,15.9332676358689,16,16,16,16,16,16,16,16,15,15,15,12,12,12,9.46786315306112,9.46786315306112,9.46786315306112,7.66269068982576,7.66269068982576,7.66269068982576,6,6,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.00000000000004,6.00000000000004,6.00000000000004,7,7,7,7.0382570919996,7.0382570919996,8,8,8,9.00000000000001,9.00000000000001,9.84610958816002,9.84610958816002,9.84610958816002,11,11,11,12,12,13.8165284375688,13.8165284375688,13.8165284375688,15,15,15,15,15,15.0667323641311,15.0667323641311,15.0667323641311,16.3316992475255,16.3316992475255,16.3316992475255,16.4168983053924,16.4168983053924,16.4168983053924,16,16,15,15,15,12,12,12,8.46786315306119,8.46786315306119,8.46786315306119,7,7,7,6,6,5.02631543710439,5.02631543710439,5.02631543710439,5.50000000000001,5.50000000000001,5.50000000000001,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.99999999999996,6.99999999999996,6.99999999999996,7,7,7,7.03825709199964,7.03825709199964,8.00000000000002,8.00000000000002,8.00000000000002,9.22467945530128,9.22467945530128,10.84610958816,10.84610958816,10.84610958816,12,12,12,12,12,13,13,13,16,16,16,15,15,16,16,16,16.3316992475255,16.3316992475255,16.3316992475255,17,17,17,16,16,15,15,15,13,13,13,9.46786315306114,9.46786315306114,9.46786315306114,7,7,7,6.00000000000003,6.00000000000003,5.02631543710439,5.02631543710439,5.02631543710439,5.80323173987458,5.80323173987458,5.80323173987458,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,7,7,7,8,8,8.62188415733293,8.62188415733293,8.62188415733293,10,10,10.84610958816,10.84610958816,10.84610958816,12,12,12,12.1426249223684,12.1426249223684,12.1834715624312,12.1834715624312,12.1834715624312,15,15,15,15.2125062783052,15.2125062783052,16,16,16,17,17,17,17,17,17,16,16,15,15,15,12,12,12,9.00000000000004,9.00000000000004,9.00000000000004,7.00000000000003,7.00000000000003,7.00000000000003,6.84856755029934,6.84856755029934,5.02631543710443,5.02631543710443,5.02631543710443,5.19676826012544,5.19676826012544,5.19676826012544,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,7,7,7,8,8,8.62188415733298,8.62188415733298,8.62188415733298,10,10,10.84610958816,10.84610958816,10.84610958816,11.4856179297113,11.4856179297113,11.4856179297113,12.1426249223685,12.1426249223685,13,13,13,14.9999999999999,14.9999999999999,14.9999999999999,15.2125062783052,15.2125062783052,16,16,16,16.3316992475255,16.3316992475255,16.3316992475255,17,17,17,17,17,15.048137044043,15.048137044043,15.048137044043,12.2632765805041,12.2632765805041,12.2632765805041,10,10,10,7.6626906898258,7.6626906898258,7.6626906898258,6.99999999999995,6.99999999999995,6,6,6,5.99999999999995,5.99999999999995,5.99999999999995,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,5.99999999999997,5.99999999999997,5.99999999999997,6.99999999999999,6.99999999999999,6.99999999999999,8,8,9.62188415733293,9.62188415733293,9.62188415733293,11,11,11,11,11,11,11,11,13,13,13,13,13,14,14,14,15,15,15.9332676358689,15.9332676358689,15.9332676358689,17,17,17,17,17,17,16,16,15.0481370440431,15.0481370440431,15.0481370440431,13,13,13,10.4678631530611,10.4678631530611,10.4678631530611,7.99999999999998,7.99999999999998,7.99999999999998,5.99999999999999,5.99999999999999,6,6,6,5,5,5,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,7.00000000000002,7.00000000000002,7.00000000000002,7.47430819382506,7.47430819382506,7.47430819382506,8,8,9.62188415733292,9.62188415733292,9.62188415733292,11,11,11.84610958816,11.84610958816,11.84610958816,11,11,11,13,13,13,13,13,14,14,14,14.2125062783052,14.2125062783052,15.9332676358689,15.9332676358689,15.9332676358689,16.3316992475255,16.3316992475255,16.3316992475255,17,17,17,16.6433321687422,16.6433321687422,14.096274088086,14.096274088086,14.096274088086,13.2632765805041,13.2632765805041,13.2632765805041,11.4678631530612,11.4678631530612,11.4678631530612,8.66269068982578,8.66269068982578,8.66269068982578,6.15143244970065,6.15143244970065,6,6,6,5,5,5,6.00000000000001,6.00000000000001,6.00000000000001,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,5.99999999999999,5.99999999999999,5.99999999999999,8,8,8,8.03825709199958,8.03825709199958,10,10,10,11,11,11.84610958816,11.84610958816,11.84610958816,11.5143820702886,11.5143820702886,11.5143820702886,12.1426249223684,12.1426249223684,12.8165284375688,12.8165284375688,12.8165284375688,13.5067042003129,13.5067042003129,13.5067042003129,15,15,15.9332676358689,15.9332676358689,15.9332676358689,17,17,17,16.4168983053924,16.4168983053924,16.4168983053924,16,16,15,15,15,13,13,13,11,11,11,8.66269068982578,8.66269068982578,8.66269068982578,6.84856755029933,6.84856755029933,5.97368456289559,5.97368456289559,5.97368456289559,5.1967682601254,5.1967682601254,5.1967682601254,5.63922904336765,5.63922904336765,5.63922904336765,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6.93052376033057,6.93052376033057,6.93052376033057,7.99999999999999,7.99999999999999,7.99999999999999,9,9,10,10,10,11,11,11.84610958816,11.84610958816,11.84610958816,12,12,12,12.1426249223684,12.1426249223684,12.8165284375688,12.8165284375688,12.8165284375688,13,13,13,14.4250125566104,14.4250125566104,15.9332676358689,15.9332676358689,15.9332676358689,16.6683007524745,16.6683007524745,16.6683007524745,17,17,17,16,16,15.048137044043,15.048137044043,15.048137044043,13,13,13,11,11,11,8.66269068982578,8.66269068982578,8.66269068982578,6.84856755029934,6.84856755029934,6.97368456289562,6.97368456289562,6.97368456289562,5.1967682601254,5.1967682601254,5.1967682601254,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.5,5.5,5.5,5.5,4.99999999999999,4.99999999999999,4.99999999999999,6.40736633768722,6.40736633768722,6.99999999999999,6.99999999999999,6.99999999999999,9,9,9,9.0382570919996,9.0382570919996,9.99999999999999,9.99999999999999,9.99999999999999,11,11,12,12,12,12,12,12,12.1426249223684,12.1426249223684,13,13,13,13.5067042003129,13.5067042003129,13.5067042003129,14.4250125566104,14.4250125566104,15,15,15,16.6683007524745,16.6683007524745,16.6683007524745,16.5831016946076,16.5831016946076,16.5831016946076,16,16,15.048137044043,15.048137044043,15.048137044043,13,13,13,10.4678631530612,10.4678631530612,10.4678631530612,8.66269068982578,8.66269068982578,8.66269068982578,6.15143244970067,6.15143244970067,6.02631543710439,6.02631543710439,6.02631543710439,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5.00000000000006,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.03407547620644,5.03407547620644,5.57533633149678,5.57533633149678,5.90527466403503,5.90527466403503,5.90527466403503,7.00000000000004,7.00000000000004,7.93052376033058,7.93052376033058,7.93052376033058,8.47430819382516,8.47430819382516,8.47430819382516,9.03825709199969,9.03825709199969,11,11,11,11.2246794553012,11.2246794553012,12.84610958816,12.84610958816,12.84610958816,12,12,12,12.1426249223684,12.1426249223684,13,13,13,14,14,14,15,15,15,15,15,16.6683007524744,16.6683007524744,16.6683007524744,16.5831016946076,16.5831016946076,16.5831016946076,16,16,15.9999999999999,15.9999999999999,15.9999999999999,12.2632765805041,12.2632765805041,12.2632765805041,10,10,10,8.66269068982578,8.66269068982578,8.66269068982578,6.00000000000008,6.00000000000008,6,6,6,6,6,6,5.36077095663241,5.36077095663241,5.36077095663241,5.00000000000004,5.00000000000004,5.00000000000004,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5.72118561572869,5,5,5,5,5,5.99999999999998,5.99999999999998,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000002,5.00000000000002,5.00000000000002,5.96592452379364,5.96592452379364,6.00000000000002,6.00000000000002,6.00000000000001,6.00000000000001,6.00000000000001,7.40736633768724,7.40736633768724,8.00000000000001,8.00000000000001,8.00000000000001,9.47430819382508,9.47430819382508,9.47430819382508,10.0382570919996,10.0382570919996,11,11,11,11.2246794553013,11.2246794553013,12.84610958816,12.84610958816,12.84610958816,12,12,12,12.1426249223685,12.1426249223685,13,13,13,14,14,14,15,15,15.0667323641311,15.0667323641311,15.0667323641311,16,16,16,16.1662033892152,16.1662033892152,16.1662033892152,15.8216660843711,15.8216660843711,15.048137044043,15.048137044043,15.048137044043,12.2632765805041,12.2632765805041,12.2632765805041,10.4678631530611,10.4678631530611,10.4678631530611,8.66269068982578,8.66269068982578,8.66269068982578,6.84856755029933,6.84856755029933,6,6,6,6,6,6,6,6,6,5.48082172874829,5.48082172874829,5.48082172874829,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,6,6,5.00000000000001,5.00000000000001,5,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,6,6,6,6,6,6,6,7.00000000000001,7.00000000000001,7.00000000000003,7.00000000000003,7.00000000000003,8.59263366231282,8.59263366231282,8.93052376033057,8.93052376033057,8.93052376033057,10,10,10,10.0382570919996,10.0382570919996,11.6218841573329,11.6218841573329,11.6218841573329,12,12,13,13,13,12.5143820702887,12.5143820702887,12.5143820702887,13,13,13.1834715624312,13.1834715624312,13.1834715624312,14,14,14,15,15,15,15,15,16.3316992475255,16.3316992475255,16.3316992475255,16.5831016946076,16.5831016946076,16.5831016946076,15,15,15,15,15,12,12,12,9.46786315306117,9.46786315306117,9.46786315306117,8.66269068982578,8.66269068982578,8.66269068982578,6.84856755029933,6.84856755029933,6.02631543710439,6.02631543710439,6.02631543710439,5.99999999999998,5.99999999999998,5.99999999999998,6,6,6,5.51917827125171,5.51917827125171,5.51917827125171,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000002,5.00000000000002,5.00000000000001,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5.99999999999998,5.99999999999998,5.54802906341285,5.54802906341285,5.00000000000002,5.00000000000002,5.00000000000002,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,6,6,6,6,6,5.99999999999998,5.99999999999998,7.57533633149675,7.57533633149675,8.81054932807007,8.81054932807007,8.81054932807007,10.1852673246256,10.1852673246256,9.00000000000002,9.00000000000002,9.00000000000002,10,10,10,10.0382570919996,10.0382570919996,11.6218841573329,11.6218841573329,11.6218841573329,12,12,13,13,13,13,13,13,13,13,13.1834715624312,13.1834715624312,13.1834715624312,14,14,14,14.2125062783052,14.2125062783052,15.9332676358689,15.9332676358689,15.9332676358689,16,16,16,16,16,16,15,15,15,15,15,12.2632765805041,12.2632765805041,12.2632765805041,10,10,10,8.66269068982578,8.66269068982578,8.66269068982578,6.84856755029936,6.84856755029936,6.02631543710439,6.02631543710439,6.02631543710439,5.19676826012539,5.19676826012539,5.19676826012539,6,6,6,5.51917827125169,5.51917827125169,5.51917827125169,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5.99999999999997,5.99999999999997,5.27881438427129,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,5,5,5.65090273686871,5.65090273686871,5.65090273686871,5,5,5,5,5.00000000000003,5.00000000000003,null,null,null,null,null,null,null,null,null,null,5.99999999999997,5.99999999999997,6,6,6,5.06815095241274,5.06815095241274,7.57533633149673,7.57533633149673,9.90527466403508,9.90527466403508,9.90527466403508,10.5926336623128,10.5926336623128,10,10,10,10.4743081938251,10.4743081938251,10.4743081938251,10.0382570919996,10.0382570919996,11.6218841573329,11.6218841573329,11.6218841573329,12,12,13,13,13,13,13,13,13.1426249223685,13.1426249223685,13.1834715624312,13.1834715624312,13.1834715624312,14,14,14,14.2125062783052,14.2125062783052,15.9332676358689,15.9332676358689,15.9332676358689,16,16,16,16,16,16,15.1783339156289,15.1783339156289,14.048137044043,14.048137044043,14.048137044043,12.2632765805041,12.2632765805041,12.2632765805041,10,10,10,8.66269068982579,8.66269068982579,8.66269068982579,7.84856755029931,7.84856755029931,6.02631543710439,6.02631543710439,6.02631543710439,5.00000000000003,5.00000000000003,5.00000000000003,6,6,6,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5.00000000000003,5.00000000000003,5,5,5,5,5,5,5.65090273686869,5.65090273686869,5.65090273686869,5.12549737540006,5.12549737540006,5,5,5.99999999999997,5.99999999999997,null,null,null,null,null,null,null,null,null,null,5.11550836749023,5.11550836749023,6.00000000000001,6.00000000000001,6.00000000000001,5.99999999999997,5.99999999999997,7.00000000000002,7.00000000000002,11.905274664035,11.905274664035,11.905274664035,11.1852673246256,11.1852673246256,11,11,11,10.4743081938251,10.4743081938251,10.4743081938251,11,11,11.6218841573329,11.6218841573329,11.6218841573329,12.7753205446988,12.7753205446988,13.84610958816,13.84610958816,13.84610958816,13,13,13,14,14,14,14,14,14,14,14,15,15,15.9332676358689,15.9332676358689,15.9332676358689,16.6683007524745,16.6683007524745,16.6683007524745,15.4168983053924,15.4168983053924,15.4168983053924,15,15,13.0962740880861,13.0962740880861,13.0962740880861,12.2632765805041,12.2632765805041,12.2632765805041,10,10,10,9,9,9,7,7,6.02631543710442,6.02631543710442,6.02631543710442,6,6,6,6,6,6,5.00000000000002,5.00000000000002,5.00000000000002,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5.00000000000002,5,5,5,5,5.00000000000003,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5.99564937756456,5.99564937756456,5,5,5.00000000000002,5.00000000000002,5,5,5,5,5,5.00000000000003,5.00000000000003,5.00000000000003,5.00000000000003,5,5,null,null,null,null,null,null,null,null,null,null,6.1155083674902,6.1155083674902,6.47057524996473,6.47057524996473,6.47057524996473,5.03407547620639,5.03407547620639,7.57533633149681,7.57533633149681,11.9052746640351,11.9052746640351,11.9052746640351,11.5926336623128,11.5926336623128,11,11,11,10,10,10,11,11,11.6218841573329,11.6218841573329,11.6218841573329,13,13,13.84610958816,13.84610958816,13.84610958816,14,14,14,14,14,14.8165284375688,14.8165284375688,14.8165284375688,14,14,14,14.2125062783052,14.2125062783052,15.9332676358689,15.9332676358689,15.9332676358689,16,16,16,15,15,15,15,15,13.0481370440431,13.0481370440431,13.0481370440431,12,12,12,10,10,10,9,9,9,7,7,7,7,7,6,6,6,6,6,6,5.51917827125171,5.51917827125171,5.51917827125171,5.00000000000004,5.00000000000004,5.00000000000004,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5.72118561572871,5,5,5.14823099319087,5.14823099319087,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4.99999999999997,4.99999999999997,5,5,5.12859736744318,5.12859736744318,5.7221664948764,5.7221664948764,4.99999999999998,4.99999999999998,4.99999999999999,4.99999999999999,4.99999999999999,5.87450262459993,5.87450262459993,6.00000000000003,6.00000000000003,null,null,null,null,null,null,null,null,null,4.99999999999997,4.99999999999997,4.99999999999997,6.1155083674902,6.1155083674902,6.47057524996473,6.47057524996473,6.47057524996473,5.99999999999996,5.99999999999996,9.42466366850322,9.42466366850322,13,13,13,12,12,11.0694762396694,11.0694762396694,11.0694762396694,11,11,11,11,11,11.6218841573329,11.6218841573329,11.6218841573329,13,13,13,13,13,14,14,14,14,14,15,15,15,14,14,14,14.2125062783052,14.2125062783052,15.9332676358689,15.9332676358689,15.9332676358689,16.6683007524745,16.6683007524745,16.6683007524745,15.5831016946076,15.5831016946076,15.5831016946076,15,15,14.048137044043,14.048137044043,14.048137044043,13,13,13,10.4678631530612,10.4678631530612,10.4678631530612,9,9,9,7,7,7,7,7,6,6,6,6,6,6,5.51917827125171,5.51917827125171,5.51917827125171,6.00000000000004,6.00000000000004,6.00000000000004,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5.72118561572871,5,5,6.00000000000003,6.00000000000003,6.00000000000003,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.90516308762879,5.90516308762879,5,5,6.00000000000003,6.00000000000003,4.99999999999999,4.99999999999999,5.54802906341288,5.54802906341288,5.34909726313127,5.34909726313127,5.34909726313127,6,6,5.1226244485047,5.1226244485047,6,6,null,null,null,null,null,5,5,5.72449609558101,5.72449609558101,5.72449609558101,6.1155083674902,6.1155083674902,6.47057524996473,6.47057524996473,6.47057524996473,6.96592452379361,6.96592452379361,10.4246636685033,10.4246636685033,13.905274664035,13.905274664035,13.905274664035,12,12,12,12,12,11,11,11,11,11,12,12,12,13,13,13,13,13,14,14,14,15,15,15,15,15,14.4932957996871,14.4932957996871,14.4932957996871,14.2125062783052,14.2125062783052,15,15,15,16.6683007524746,16.6683007524746,16.6683007524746,15.5831016946076,15.5831016946076,15.5831016946076,15,15,14.048137044043,14.048137044043,14.048137044043,13,13,13,9.99999999999997,9.99999999999997,9.99999999999997,8.99999999999998,8.99999999999998,8.99999999999998,7,7,7,7,7,6,6,6,6,6,6,5.51917827125172,5.51917827125172,5.51917827125172,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,null,null,5,null,null,null,null,null,5,5,5,5,5.72118561572873,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,4.99999999999997,4.99999999999997,5.27783350512364,5.27783350512364,5,5,6.00000000000002,6.00000000000002,6.00000000000002,6,6,5.12262444850468,5.12262444850468,6,6,null,null,null,null,null,4.99999999999997,4.99999999999997,6,6,6,5.99999999999999,5.99999999999999,6.47057524996476,6.47057524996476,6.47057524996476,7.93184904758728,7.93184904758728,10.4246636685032,10.4246636685032,13.094725335965,13.094725335965,13.094725335965,12.5926336623128,12.5926336623128,12,12,12,12,12,12,11.0382570919996,11.0382570919996,12.6218841573329,12.6218841573329,12.6218841573329,14,14,13.84610958816,13.84610958816,13.84610958816,15,15,15,15,15,15,15,15,14.5067042003129,14.5067042003129,14.5067042003129,14,14,15.9332676358689,15.9332676358689,15.9332676358689,15,15,15,15.5831016946076,15.5831016946076,15.5831016946076,15,15,14.048137044043,14.048137044043,14.048137044043,13,13,13,11,11,11,9.6626906898258,9.6626906898258,9.6626906898258,7,7,7,7,7,6,6,6,6.00000000000003,6.00000000000003,6.00000000000003,4.99999999999998,4.99999999999998,4.99999999999998,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5.87140263255673,5.87140263255673,5,5,5,5,5.34909726313131,5.34909726313131,5.34909726313131,6,6,5.99999999999994,5.99999999999994,6,6,5,5,5,5,5,5.99999999999996,5.99999999999996,6,6,6,6.11550836749019,6.11550836749019,5.4705752499647,5.4705752499647,5.4705752499647,7.93184904758729,7.93184904758729,11.0000000000001,11.0000000000001,13.094725335965,13.094725335965,13.094725335965,13,13,12,12,12,12,12,12,12,12,12.621884157333,12.621884157333,12.621884157333,14,14,13.84610958816,13.84610958816,13.84610958816,15,15,15,15,15,15,15,15,14.5067042003129,14.5067042003129,14.5067042003129,14.2125062783052,14.2125062783052,15,15,15,15.6683007524745,15.6683007524745,15.6683007524745,15.5831016946076,15.5831016946076,15.5831016946076,15.0000000000001,15.0000000000001,14,14,14,13,13,13,10.4678631530612,10.4678631530612,10.4678631530612,9,9,9,7.00000000000006,7.00000000000006,7,7,7,6,6,6,5.00000000000003,5.00000000000003,5.00000000000003,5.51917827125171,5.51917827125171,5.51917827125171,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5.00000000000003,5.00000000000003,5,5,null,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5.00000000000005,5.00000000000005,5.00000000000003,5.00000000000003,5.65090273686866,5.65090273686866,5.65090273686866,6,6,5.12262444850477,5.12262444850477,5.99999999999997,5.99999999999997,5.00000000000005,5.00000000000005,5.00000000000005,5,5,5.35668559562394,5.35668559562394,5.99999999999994,5.99999999999994,5.99999999999994,6,6,5.00000000000008,5.00000000000008,5.00000000000008,7.96592452379379,7.96592452379379,12,12,13,13,13,13,13,12,12,12,12,12,12,12.0000000000001,12.0000000000001,13,13,13,13.7753205446987,13.7753205446987,13.8461095881601,13.8461095881601,13.8461095881601,15,15,15,15,15,15,15,15,14.5067042003129,14.5067042003129,14.5067042003129,14.2125062783053,14.2125062783053,15.0000000000001,15.0000000000001,15.0000000000001,15.6683007524745,15.6683007524745,15.6683007524745,15.5831016946076,15.5831016946076,15.5831016946076,15.8216660843712,15.8216660843712,14,14,14,13,13,13,10.4678631530612,10.4678631530612,10.4678631530612,9,9,9,7.84856755029934,7.84856755029934,7,7,7,6,6,6,5.3607709566324,5.3607709566324,5.3607709566324,5.51917827125171,5.51917827125171,5.51917827125171,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5.01069859854761,5.42931262611,5.42931262611,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5.72216649487637,5.72216649487637,5.45197093658714,5.45197093658714,5,5,5,6,6,6,6,5.60489830676505,5.60489830676505,5.69174700713513,5.69174700713513,5.69174700713513,5,5,5.99999999999992,5.99999999999992,5.27550390441904,5.27550390441904,5.27550390441904,5.99999999999992,5.99999999999992,6.00000000000004,6.00000000000004,6.00000000000004,9.96592452379364,9.96592452379364,12.4246636685033,12.4246636685033,13,13,13,12.5926336623128,12.5926336623128,11.9999999999999,11.9999999999999,11.9999999999999,12.4743081938251,12.4743081938251,12.4743081938251,13,13,13.6218841573329,13.6218841573329,13.6218841573329,13,13,14.84610958816,14.84610958816,14.84610958816,15.4856179297114,15.4856179297114,15.4856179297114,15,15,15,15,15,15,15,15,15.0000000000001,15.0000000000001,15.9332676358689,15.9332676358689,15.9332676358689,16,16,16,16,16,16,16.8216660843711,16.8216660843711,14.0481370440431,14.0481370440431,14.0481370440431,13,13,13,10.4678631530612,10.4678631530612,10.4678631530612,8.99999999999992,8.99999999999992,8.99999999999992,7.99999999999999,7.99999999999999,7,7,7,6,6,6,6,6,6,5.5191782712517,5.5191782712517,5.5191782712517,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,4,4,null,null,null,null,null,null,null,5,null,null,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5.0043506224354,5.0043506224354,5,5,5.72216649487637,5.72216649487637,5.45197093658714,5.45197093658714,5,5,5,6,6,6,6,5.60489830676505,5.60489830676505,null,null,null,5,5,5,5,6,6,6,5,5,6.52942475003527,6.52942475003527,6.52942475003527,10,10,12.4246636685033,12.4246636685033,13,13,13,12.5926336623128,12.5926336623128,11,11,11,13,13,13,13,13,13.6218841573329,13.6218841573329,13.6218841573329,13,13,14.84610958816,14.84610958816,14.84610958816,15.4856179297114,15.4856179297114,15.4856179297114,15,15,15,15,15,15,15,15,15.7874937216948,15.7874937216948,15.9332676358689,15.9332676358689,15.9332676358689,16,16,16,16,16,16,16.8216660843711,16.8216660843711,15.048137044043,15.048137044043,15.048137044043,13,13,13,10.4678631530612,10.4678631530612,10.4678631530612,8,8,8,7.84856755029933,7.84856755029933,7,7,7,6,6,6,6,6,6,5.48082172874829,5.48082172874829,5.48082172874829,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,5,null,null,5,5,null,null,null,null,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5.0043506224354,5.0043506224354,5.00000000000001,5.00000000000001,5.72216649487637,5.72216649487637,5.45197093658714,5.45197093658714,5.6509027368687,5.6509027368687,5.6509027368687,6,6,6,6,5.99999999999999,5.99999999999999,null,null,null,5,5,5.35668559562389,5.35668559562389,5.72449609558101,5.72449609558101,5.72449609558101,6.8844916325098,6.8844916325098,8.05884950007054,8.05884950007054,8.05884950007054,11.9659245237936,11.9659245237936,12.5753363314967,12.5753363314967,13,13,13,12,12,12,12,12,13,13,13,13.9617429080004,13.9617429080004,14,14,14,13.2246794553013,13.2246794553013,14.84610958816,14.84610958816,14.84610958816,16,16,16,15,15,15,15,15,15,15,15,15.7874937216948,15.7874937216948,15.9332676358689,15.9332676358689,15.9332676358689,16.6683007524745,16.6683007524745,16.6683007524745,16.5831016946076,16.5831016946076,16.5831016946076,16,16,14.048137044043,14.048137044043,14.048137044043,12.2632765805041,12.2632765805041,12.2632765805041,10.4678631530612,10.4678631530612,10.4678631530612,9,9,9,8,8,7,7,7,7,7,7,6.36077095663236,6.36077095663236,6.36077095663236,5.99999999999999,5.99999999999999,5.99999999999999,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,4.99999999999999,4.99999999999999,5,5,5,5,5,null,null,null,5.00000000000001,5.00000000000001,null,null,5.00000000000001,5.5,5.5,5.52861600143876,5.52861600143876,null,null,null,null,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5.0043506224354,5.0043506224354,5.87140263255679,5.87140263255679,6,6,5.45197093658714,5.45197093658714,5,5,5,5.99999999999999,5.99999999999999,6,6,5,5,null,null,null,5,5,5.99999999999999,5.99999999999999,5.27550390441899,5.27550390441899,5.27550390441899,6.8844916325098,6.8844916325098,8.05884950007054,8.05884950007054,8.05884950007054,11.9659245237936,11.9659245237936,12,12,13,13,13,12,12,12,12,12,13,13,13,13.9617429080004,13.9617429080004,14,14,14,13.2246794553013,13.2246794553013,14.84610958816,14.84610958816,14.84610958816,16,16,16,15.1426249223685,15.1426249223685,15,15,15,15,15,15,15.7874937216948,15.7874937216948,16,16,16,16.6683007524745,16.6683007524745,16.6683007524745,16.5831016946076,16.5831016946076,16.5831016946076,16,16,14.048137044043,14.048137044043,14.048137044043,12.2632765805041,12.2632765805041,12.2632765805041,10.4678631530612,10.4678631530612,10.4678631530612,8.99999999999999,8.99999999999999,8.99999999999999,7.84856755029932,7.84856755029932,7.02631543710439,7.02631543710439,7.02631543710439,7,7,7,6.36077095663235,6.36077095663235,6.36077095663235,5.00000000000001,5.00000000000001,5.00000000000001,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,4.42931262611004,4.42931262611004,5,5,5,5.39014963538707,5.39014963538707,null,null,null,5.99999999999999,5.99999999999999,5.49999999999999,5.49999999999999,6,5.32752238686777,5.32752238686777,5.00000000000002,5.00000000000002,null,null,null,null,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5.0043506224354,5.0043506224354,6,6,5.72216649487636,5.72216649487636,5.45197093658714,5.45197093658714,5,5,5,5.12549737540008,5.12549737540008,6,6,5.00000000000002,5.00000000000002,null,null,null,5,5,5.35668559562389,5.35668559562389,5.99999999999999,5.99999999999999,5.99999999999999,7.00000000000001,7.00000000000001,8.52942475003528,8.52942475003528,8.52942475003528,11,11,12.4246636685033,12.4246636685033,13,13,13,12.5926336623128,12.5926336623128,12,12,12,13,13,13,13.0382570919996,13.0382570919996,14,14,14,14,14,14.84610958816,14.84610958816,14.84610958816,16,16,16,16,16,15,15,15,15,15,15,16,16,16,16,16,16.6683007524745,16.6683007524745,16.6683007524745,16.5831016946076,16.5831016946076,16.5831016946076,16,16,14,14,14,13,13,13,11,11,11,8.66269068982579,8.66269068982579,8.66269068982579,7.00000000000001,7.00000000000001,7,7,7,6.8032317398746,6.8032317398746,6.8032317398746,6,6,6,5.51917827125171,5.51917827125171,5.51917827125171,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000002,null,null,5,5,5,5,5,5.00000000000001,5,5,null,null,null,5,5,5.1482309931909,5.1482309931909,5.99999999999998,5,5,5.99999999999999,5.99999999999999,null,null,null,null,5.00000000000002,5.00000000000002,5,5,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5.87140263255679,5.87140263255679,5,5,5.45197093658714,5.45197093658714,5.00000000000001,5.00000000000001,5.00000000000001,6,6,5.8773755514953,5.8773755514953,5.99999999999998,5.99999999999998,null,null,null,5,5,5.35668559562389,5.35668559562389,5.275503904419,5.275503904419,5.275503904419,7.88449163250978,7.88449163250978,9.52942475003527,9.52942475003527,9.52942475003527,10.9659245237936,10.9659245237936,12,12,13,13,13,12.5926336623128,12.5926336623128,12,12,12,13,13,13,13.0382570919996,13.0382570919996,14,14,14,14,14,14.84610958816,14.84610958816,14.84610958816,16,16,16,16,16,16,16,16,16,16,16,16,16,16.9332676358689,16.9332676358689,16.9332676358689,17,17,17,16.5831016946076,16.5831016946076,16.5831016946076,16,16,14,14,14,14,14,14,11,11,11,9.32538137965157,9.32538137965157,9.32538137965157,7.84856755029934,7.84856755029934,7,7,7,6.8032317398746,6.8032317398746,6.8032317398746,6,6,6,5.48082172874829,5.48082172874829,5.48082172874829,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.95930572307139,5.99999999999998,5.99999999999998,5,5,5,5.15380012359838,5.15380012359838,5.23977355583905,5,5,5,5,null,5,5,5.00000000000002,5.00000000000002,5,5,5,5.52861600143875,5.52861600143875,null,null,null,null,5.99999999999998,5.99999999999998,5.08520513501017,5.08520513501017,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000002,5.00000000000002,5,5,5.87140263255677,5.87140263255677,5.00000000000001,5.00000000000001,5.54802906341286,5.54802906341286,5.65090273686872,5.65090273686872,5.65090273686872,6,6,5.8773755514953,5.8773755514953,5,5,null,null,null,5.00000000000002,5.00000000000002,5.35668559562391,5.35668559562391,5.99999999999998,5.99999999999998,5.99999999999998,6.99999999999998,6.99999999999998,9.52942475003527,9.52942475003527,9.52942475003527,10.9659245237936,10.9659245237936,12,12,12.905274664035,12.905274664035,12.905274664035,12,12,12,12,12,13.4743081938251,13.4743081938251,13.4743081938251,14,14,14.3781158426671,14.3781158426671,14.3781158426671,14.7753205446987,14.7753205446987,14.84610958816,14.84610958816,14.84610958816,16.4856179297113,16.4856179297113,16.4856179297113,16,16,16,16,16,16,16,16,16.7874937216948,16.7874937216948,16.9332676358689,16.9332676358689,16.9332676358689,17,17,17,17,17,17,16,16,14,14,14,14,14,14,11.4678631530612,11.4678631530612,11.4678631530612,9.66269068982578,9.66269068982578,9.66269068982578,8,8,7,7,7,6.80323173987461,6.80323173987461,6.80323173987461,6,6,6,5.48082172874829,5.48082172874829,5.48082172874829,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,4.99999999999996,5,5,5,5,6.00000000000005,4.99999999999998,4.99999999999998,5.85176900680913,5.85176900680913,5,4.99999999999998,4.99999999999998,5,5,null,null,null,null,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,6,6,5,5,5,5,5.27783350512361,5.27783350512361,5.45197093658716,5.45197093658716,6.00000000000005,6.00000000000005,6.00000000000005,6.00000000000004,6.00000000000004,6.00000000000005,6.00000000000005,4.99999999999995,4.99999999999995,null,null,null,6,6,6.35668559562394,6.35668559562394,4.99999999999995,4.99999999999995,4.99999999999995,6.23101673498035,6.23101673498035,9.52942475003527,9.52942475003527,9.52942475003527,11,11,12,12,12,12,12,12,12,11.9999999999999,11.9999999999999,11.9999999999999,13,13,13,14,14,14.6218841573329,14.6218841573329,14.6218841573329,14.2246794553013,14.2246794553013,14.84610958816,14.84610958816,14.84610958816,16,16,16,16,16,16,16,16,16,16,16,16.7874937216948,16.7874937216948,17,17,17,17.6683007524745,17.6683007524745,17.6683007524745,17,17,17,16,16,15,15,15,12.2632765805041,12.2632765805041,12.2632765805041,11.4678631530612,11.4678631530612,11.4678631530612,9.66269068982578,9.66269068982578,9.66269068982578,8,8,7,7,7,7.00000000000005,7.00000000000005,7.00000000000005,6,6,6,5.48082172874829,5.48082172874829,5.48082172874829,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5.76022644416091,5,5,5,5,5.00000000000004,5.42262937974087,5.42262937974087,5.00000000000004,5.00000000000004,5,5.32752238686776,5.32752238686776,5,5,null,null,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,6,6,5,5,5,5,5.72216649487635,5.72216649487635,5.00000000000002,5.00000000000002,5.00000000000004,5.00000000000004,5.00000000000004,5.1254973754001,5.1254973754001,5.12262444850474,5.12262444850474,5.99999999999995,5.99999999999995,null,null,null,6,6,5.35668559562393,5.35668559562393,5.99999999999995,5.99999999999995,5.99999999999995,7.11550836749016,7.11550836749016,9.52942475003527,9.52942475003527,9.52942475003527,11.9659245237936,11.9659245237936,12,12,12,12,12,12,12,13,13,13,13,13,13,14,14,14.6218841573329,14.6218841573329,14.6218841573329,14,14,15,15,15,16,16,16,16,16,16,16,16,16.5067042003128,16.5067042003128,16.5067042003128,17,17,17,17,17,17.6683007524745,17.6683007524745,17.6683007524745,17.1662033892152,17.1662033892152,17.1662033892152,16,16,14.0481370440431,14.0481370440431,14.0481370440431,12.2632765805041,12.2632765805041,12.2632765805041,11.4678631530612,11.4678631530612,11.4678631530612,9.66269068982578,9.66269068982578,9.66269068982578,8,8,7.02631543710439,7.02631543710439,7.02631543710439,6.00000000000004,6.00000000000004,6.00000000000004,6,6,6,5.48082172874829,5.48082172874829,5.48082172874829,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,null,null,null,null,5,5,5,5,5,5,5.57737062025908,5.57737062025908,5,5,5.8981352189007,5.32752238686777,5.32752238686777,5,5,null,null,null,null,5.99999999999995,5.99999999999995,5.99999999999995,5.99999999999995,5.83802972671545,5.83802972671545,5,null,null,null,null,null,null,null,null,null,5.00000000000006,5.00000000000006,5.99564937756454,5.99564937756454,5,5,5.72216649487637,5.72216649487637,5.54802906341286,5.54802906341286,5.99999999999996,5.99999999999996,5.99999999999996,5.99999999999995,5.99999999999995,5.00000000000005,5.00000000000005,6,6,null,null,null,6,6,5.35668559562389,5.35668559562389,6.00000000000004,6.00000000000004,6.00000000000004,7.1155083674902,7.1155083674902,9.00000000000003,9.00000000000003,9.00000000000003,10.9999999999999,10.9999999999999,11.4246636685032,11.4246636685032,11,11,11,12,12,13,13,13,13,13,13,14,14,14.6218841573329,14.6218841573329,14.6218841573329,15,15,15,15,15,16,16,16,17,17,16,16,16,17,17,17,17,17,17.9332676358689,17.9332676358689,17.9332676358689,17.6683007524745,17.6683007524745,17.6683007524745,17.1662033892152,17.1662033892152,17.1662033892152,16,16,14.048137044043,14.048137044043,14.048137044043,12.7367234194959,12.7367234194959,12.7367234194959,10.4678631530612,10.4678631530612,10.4678631530612,9.99999999999998,9.99999999999998,9.99999999999998,8.00000000000004,8.00000000000004,7.00000000000005,7.00000000000005,7.00000000000005,6.19676826012539,6.19676826012539,6.19676826012539,6,6,6,5.51917827125168,5.51917827125168,5.51917827125168,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,null,null,null,null,5,5,5,5,5,5,5,5,5,5,5.8981352189007,5.32752238686778,5.32752238686778,5,5,null,null,null,null,5,5,5,5,6,6,5.00000000000005,null,null,null,null,null,null,null,null,null,5.99999999999994,5.99999999999994,5.00435062243546,5.00435062243546,5,5,5.72216649487633,5.72216649487633,5.45197093658711,5.45197093658711,5.34909726313127,5.34909726313127,5.34909726313127,5.12549737540011,5.12549737540011,5.87737555149526,5.87737555149526,6,6,null,null,null,5.99999999999994,5.99999999999994,5.35668559562393,5.35668559562393,6.72449609558103,6.72449609558103,6.72449609558103,7.1155083674902,7.1155083674902,9.52942475003521,9.52942475003521,9.52942475003521,10,10,11,11,11,11,11,12,12,13,13,13,13,13,13,14,14,14.6218841573329,14.6218841573329,14.6218841573329,15,15,15,15,15,16,16,16,17,17,16.0000000000001,16.0000000000001,16.0000000000001,17,17,17,17,17,18,18,18,18,18,18,17.5831016946076,17.5831016946076,17.5831016946076,16.0000000000001,16.0000000000001,14.048137044043,14.048137044043,14.048137044043,13,13,13,10.4678631530612,10.4678631530612,10.4678631530612,9.66269068982578,9.66269068982578,9.66269068982578,8.84856755029928,8.84856755029928,7.97368456289561,7.97368456289561,7.97368456289561,6,6,6,6,6,6,5.00000000000006,5.00000000000006,5.00000000000006,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5.00000000000006,5.00000000000006,5,5,5.8981352189007,5.32752238686777,5.32752238686777,5.00000000000003,5.00000000000003,null,null,5.00000000000006,5.00000000000006,5.00000000000006,5.00000000000006,5.00000000000006,5.00000000000006,6,6,5.78634838135426,null,null,6,6,null,null,null,5,5,5.00000000000006,5.00000000000006,5.9956493775646,5.9956493775646,5.00000000000001,5.00000000000001,5,5,5,5,5,5,5,5.99999999999994,5.99999999999994,5.12262444850476,5.12262444850476,null,null,null,null,null,5,5,5.99999999999998,5.99999999999998,6.99999999999998,6.99999999999998,6.99999999999998,7.1155083674902,7.1155083674902,8.5294247500353,8.5294247500353,8.5294247500353,10,10,10.4246636685032,10.4246636685032,11.094725335965,11.094725335965,11.094725335965,12,12,13,13,13,13,13,13,14,14,14.6218841573329,14.6218841573329,14.6218841573329,15,15,15,15,15,16,16,16,17,17,17,17,17,17,17,17,17.2125062783052,17.2125062783052,18,18,18,18,18,18,17.5831016946077,17.5831016946077,17.5831016946077,17,17,14.048137044043,14.048137044043,14.048137044043,13,13,13,10.9357263061223,10.9357263061223,10.9357263061223,9.6626906898258,9.6626906898258,9.6626906898258,8.00000000000005,8.00000000000005,7.99999999999994,7.99999999999994,7.99999999999994,6.00000000000001,6.00000000000001,6.00000000000001,6,6,6,5.99999999999997,5.99999999999997,5.99999999999997,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000006,5.00000000000006,5,5.99999999999993,5.99999999999993,5,5,5.8981352189007,5.32752238686777,5.32752238686777,5.4713839985612,5.4713839985612,null,null,5.99999999999993,5.99999999999993,5.98341202974852,5.98341202974852,5.91479486498977,5.91479486498977,6,6,6,5.00000000000005,5.00000000000005,5.99999999999995,5.99999999999995,5.99999999999993,5.99999999999993,5.99999999999993,5.00000000000007,5.00000000000007,5.9051630876287,5.9051630876287,5.99999999999993,5.99999999999993,5.12859736744326,5.12859736744326,5,5,5,5,5.00000000000004,5.00000000000004,5.00000000000004,5.00000000000007,5.00000000000007,6,6,null,null,null,null,null,5.01235175458562,5.01235175458562,5.64331440437613,5.64331440437613,6.72449609558102,6.72449609558102,6.72449609558102,7.11550836749026,7.11550836749026,9,9,9,9.99999999999993,9.99999999999993,10,10,11,11,11,12.4073663376872,12.4073663376872,13,13,13,13.4743081938251,13.4743081938251,13.4743081938251,14,14,14.3781158426671,14.3781158426671,14.3781158426671,15,15,15,15,15,16,16,16,17,17,17.0000000000001,17.0000000000001,17.0000000000001,17.5067042003129,17.5067042003129,17.5067042003129,17.2125062783053,17.2125062783053,18.0000000000001,18.0000000000001,18.0000000000001,18,18,18,18.5831016946076,18.5831016946076,18.5831016946076,17,17,14.048137044043,14.048137044043,14.048137044043,13,13,13,10.4678631530612,10.4678631530612,10.4678631530612,9.99999999999995,9.99999999999995,9.99999999999995,8.84856755029928,8.84856755029928,7.02631543710439,7.02631543710439,7.02631543710439,6.1967682601254,6.1967682601254,6.1967682601254,6,6,6,5.51917827125171,5.51917827125171,5.51917827125171,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.9562537523596,5.9562537523596,4.99999999999999,5,5,5,5,5.8981352189007,5.32752238686778,5.32752238686778,5,5,null,null,4.99999999999999,4.99999999999999,5.98341202974852,5.98341202974852,5,5,6,6,6,5.75979298847516,5.75979298847516,5.24160854252813,5.24160854252813,5,5,5,6,6,4.99999999999999,4.99999999999999,5,5,5.87140263255679,5.87140263255679,4.99999999999999,4.99999999999999,5,5,5.65090273686871,5.65090273686871,5.65090273686871,6.00000000000001,6.00000000000001,6,6,null,null,null,null,null,6,6,6.00000000000001,6.00000000000001,6.72449609558102,6.72449609558102,6.72449609558102,8.00000000000002,8.00000000000002,9,9,9,9.03407547620635,9.03407547620635,10,10,11,11,11,12.4073663376872,12.4073663376872,13,13,13,14,14,14,14.0382570919996,14.0382570919996,14.3781158426671,14.3781158426671,14.3781158426671,15,15,15,15,15,16,16,16,17,17,17.8165284375688,17.8165284375688,17.8165284375688,18,18,18,18,18,18.9332676358689,18.9332676358689,18.9332676358689,18.6683007524745,18.6683007524745,18.6683007524745,18.5831016946076,18.5831016946076,18.5831016946076,17,17,14.048137044043,14.048137044043,14.048137044043,13.2632765805041,13.2632765805041,13.2632765805041,11,11,11,9.33730931017422,9.33730931017422,9.33730931017422,8,8,7.0263154371044,7.0263154371044,7.0263154371044,6.1967682601254,6.1967682601254,6.1967682601254,6,6,6,5.5191782712517,5.5191782712517,5.5191782712517,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.72118561572871,5,5,5,5,5.8981352189007,5.32752238686777,5.32752238686777,5,5,null,null,6,6,6,6,5.08520513501017,5.08520513501017,6,6,6,6,6,6,6,5.21784313776145,5.21784313776145,5.21784313776145,5.83108685594491,5.83108685594491,5.90516308762876,5.90516308762876,5,5,6,6,6,6,5.45197093658714,5.45197093658714,5.65090273686871,5.65090273686871,5.65090273686871,5.12549737540006,5.12549737540006,null,null,null,null,null,null,null,6,6,5.35668559562389,5.35668559562389,6.72449609558102,6.72449609558102,6.72449609558102,6.23101673498039,6.23101673498039,8.52942475003527,8.52942475003527,8.52942475003527,10,10,10.4246636685033,10.4246636685033,11.905274664035,11.905274664035,11.905274664035,13.4073663376872,13.4073663376872,14,14,14,14.4743081938251,14.4743081938251,14.4743081938251,15,15,15,15,15,15,15,15.84610958816,15.84610958816,15.84610958816,16,16,16,17,17,18,18,18,18.5067042003128,18.5067042003128,18.5067042003128,18.2125062783052,18.2125062783052,19,19,19,18.6683007524745,18.6683007524745,18.6683007524745,19,19,19,16.8216660843711,16.8216660843711,15.048137044043,15.048137044043,15.048137044043,12.5265531610081,12.5265531610081,12.5265531610081,11,11,11,9,9,9,7.84856755029934,7.84856755029934,6.02631543710438,6.02631543710438,6.02631543710438,6.19676826012539,6.19676826012539,6.19676826012539,5.72154191326471,5.72154191326471,5.72154191326471,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5.14823099319091,5.14823099319091,6,5.32752238686777,5.32752238686777,5,5,null,null,6,6,6,6,5.08520513501017,5.08520513501017,6,6,6,5.24020701152484,5.24020701152484,6,6,6,6,6,6,6,5.90516308762876,5.90516308762876,5,5,6,6,5.72216649487637,5.72216649487637,5,5,null,null,null,5,5,null,null,null,null,null,null,null,6,6,6,6,7,7,7,7.2310167349804,7.2310167349804,9,9,9,10,10,10.4246636685033,10.4246636685033,11,11,11,13.4073663376872,13.4073663376872,14,14,14,14,14,14,15,15,15,15,15,15,15,15.84610958816,15.84610958816,15.84610958816,16.4856179297114,16.4856179297114,16.4856179297114,17,17,18,18,18,18.5067042003129,18.5067042003129,18.5067042003129,18.2125062783052,18.2125062783052,19,19,19,18.6683007524745,18.6683007524745,18.6683007524745,19,19,19,16.8216660843711,16.8216660843711,15.048137044043,15.048137044043,15.048137044043,13.2632765805041,13.2632765805041,13.2632765805041,11,11,11,9,9,9,7,7,7,7,7,7,7,7,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,5.99999999999999,5.99999999999999,6,6,6,5,5,null,null,5,5,6,6,5.08520513501017,5.08520513501017,6,6,6,5.24020701152484,5.24020701152484,6,6,6,6,6,5.16891314405509,5.16891314405509,6,6,5.0043506224354,5.0043506224354,6,6,5.72216649487637,5.72216649487637,5,5,null,null,null,5,5,null,null,null,null,null,null,null,6,6,6,6,7,7,7,7.1155083674902,7.1155083674902,9,9,9,10,10,10.4246636685033,10.4246636685033,11.094725335965,11.094725335965,11.094725335965,14,14,14,14,14,14,14,14,14.9617429080004,14.9617429080004,15,15,15,15,15,16,16,16,16.4856179297114,16.4856179297114,16.4856179297114,17,17,18,18,18,18,18,18,18.2125062783052,18.2125062783052,20,20,20,19,19,19,18.4168983053924,18.4168983053924,18.4168983053924,17,17,15,15,15,12.7367234194959,12.7367234194959,12.7367234194959,11,11,11,8.33730931017422,8.33730931017422,8.33730931017422,7,7,6.02631543710439,6.02631543710439,6.02631543710439,6.19676826012539,6.19676826012539,6.19676826012539,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5.67247761313222,5.67247761313222,5,5,null,null,6,6,6,6,5.08520513501018,5.08520513501018,6,6,6,6,6,6,6,6,6,6,6,6,5.99999999999999,5.99999999999999,5,5,6,6,5,5,null,null,null,null,null,null,null,null,null,null,null,5.99999999999999,5.99999999999999,5.99999999999999,6,6,6,6,7,7,7,7.99999999999999,7.99999999999999,9,9,9,9.96592452379364,9.96592452379364,10.4246636685033,10.4246636685033,12,12,12,14,14,14,14,14,15,15,15,15,15,15,15,15,16,16,16,16,16,17,17,17,17,17,18,18,18,19,19,19,19,19,19.9332676358689,19.9332676358689,19.9332676358689,20,20,20,18.5831016946076,18.5831016946076,18.5831016946076,17.8216660843711,17.8216660843711,15,15,15,12,12,12,10.4678631530612,10.4678631530612,10.4678631530612,8.66269068982578,8.66269068982578,8.66269068982578,7,7,6,6,6,5.1967682601254,5.1967682601254,5.1967682601254,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000001,5.00000000000001,5.00000000000001,5.67247761313222,5.67247761313222,5,5,null,null,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,5.09483691237124,5.09483691237124,5,5,5.99999999999999,5.99999999999999,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000001,5.00000000000001,5.00000000000001,5.99999999999999,5.99999999999999,6,6,6.99999999999999,6.99999999999999,6.99999999999999,7.11550836749021,7.11550836749021,9.00000000000001,9.00000000000001,9.00000000000001,9.96592452379364,9.96592452379364,10.4246636685033,10.4246636685033,12,12,12,13.4073663376872,13.4073663376872,14,14,14,15,15,15,15,15,15,15,15,16,16,16,16,16,17,17,17,17,17,18,18,18,19,19,19,19.2125062783052,19.2125062783052,20,20,20,20,20,20,18.5831016946076,18.5831016946076,18.5831016946076,17,17,15.048137044043,15.048137044043,15.048137044043,13,13,13,10,10,10,8.66269068982578,8.66269068982578,8.66269068982578,6.84856755029933,6.84856755029933,6.0263154371044,6.0263154371044,6.0263154371044,5.00000000000002,5.00000000000002,5.00000000000002,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999997,5.99999999999997,5.99999999999997,5,5,null,null,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,5.09483691237124,5.09483691237124,4.99999999999997,4.99999999999997,5.12859736744321,5.12859736744321,null,null,null,null,null,null,null,null,null,null,null,null,null,5.6917470071351,5.6917470071351,5.6917470071351,5.01235175458558,5.01235175458558,6,6,6.27550390441897,6.27550390441897,6.27550390441897,8,8,9.52942475003527,9.52942475003527,9.52942475003527,9.96592452379364,9.96592452379364,10.4246636685033,10.4246636685033,12,12,12,13.4073663376872,13.4073663376872,14,14,14,15,15,15,16,16,16,16,16,16,16,16,16,16,17,17,17,17.1426249223685,17.1426249223685,18,18,18,19,19,19,19.2125062783052,19.2125062783052,20,20,20,19.6683007524745,19.6683007524745,19.6683007524745,18.5831016946076,18.5831016946076,18.5831016946076,16.8216660843711,16.8216660843711,14.048137044043,14.048137044043,14.048137044043,13,13,13,10,10,10,8.32538137965154,8.32538137965154,8.32538137965154,6.84856755029934,6.84856755029934,7,7,7,6.99999999999998,6.99999999999998,6.99999999999998,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,null,null,null,5.00000000000004,5.00000000000004,5.99999999999999,5.99999999999999,5.99999999999997,5.99999999999997,6,6,5.99999999999997,5.99999999999997,6,6,6,6,6,6,6,6,6,6,6,6,5.09483691237126,5.09483691237126,4.0043506224354,4.0043506224354,5.12859736744321,5.12859736744321,null,null,null,null,null,null,null,null,null,null,null,null,null,5.69174700713508,5.69174700713508,5.69174700713508,6,6,6,6,6,6,6,8,8,9.52942475003527,9.52942475003527,9.52942475003527,9.96592452379361,9.96592452379361,10.4246636685033,10.4246636685033,12,12,12,13,13,13,13,13,15.4743081938251,15.4743081938251,15.4743081938251,16,16,16,16,16,16,16,16,16,16,17,17,17,18,18,18,18,18,19,19,19,19.2125062783052,19.2125062783052,20,20,20,19.6683007524745,19.6683007524745,19.6683007524745,19,19,19,17,17,14.048137044043,14.048137044043,14.048137044043,13,13,13,10,10,10,7.66269068982578,7.66269068982578,7.66269068982578,7,7,7,7,7,6.1967682601254,6.1967682601254,6.1967682601254,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,5.70503007322886,5.70503007322886,5.14334013103529,5.14334013103529,6.00000000000004,6.00000000000004,5.08520513501021,5.08520513501021,6,6,6,5.99999999999997,5.99999999999997,5.99999999999997,5.99999999999997,6,6,6,6,6,5.90516308762873,5.90516308762873,4.00435062243544,4.00435062243544,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000004,5.00000000000004,5.00000000000004,6,6,6.00000000000003,6.00000000000003,6.00000000000003,6.00000000000003,6.00000000000003,8.1155083674902,8.1155083674902,9.52942475003527,9.52942475003527,9.52942475003527,9,9,10.4246636685033,10.4246636685033,12,12,12,13.4073663376872,13.4073663376872,13.0694762396695,13.0694762396695,13.0694762396695,15.4743081938251,15.4743081938251,15.4743081938251,16.0382570919996,16.0382570919996,16.3781158426671,16.3781158426671,16.3781158426671,16,16,17,17,17,17,17,17,18,18,18,18,18,18.5067042003129,18.5067042003129,18.5067042003129,19.2125062783052,19.2125062783052,19.0667323641311,19.0667323641311,19.0667323641311,19.6683007524745,19.6683007524745,19.6683007524745,19,19,19,17,17,14.048137044043,14.048137044043,14.048137044043,12.2632765805041,12.2632765805041,12.2632765805041,10.4678631530612,10.4678631530612,10.4678631530612,7.66269068982582,7.66269068982582,7.66269068982582,7,7,6.99999999999996,6.99999999999996,6.99999999999996,6.19676826012539,6.19676826012539,6.19676826012539,5.99999999999997,5.99999999999997,5.99999999999997,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6,6,6,6.98341202974847,6.98341202974847,6,6,6,6,6,5.24020701152487,5.24020701152487,5.24160854252816,5.24160854252816,6,6,6,6,6,5.09483691237124,5.09483691237124,5.0043506224354,5.0043506224354,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999999,5.99999999999999,5.99999999999999,6,6,6.64331440437613,6.64331440437613,6.72449609558103,6.72449609558103,6.72449609558103,8.1155083674902,8.1155083674902,9.52942475003526,9.52942475003526,9.52942475003526,9.0340754762064,9.0340754762064,11,11,12.905274664035,12.905274664035,12.905274664035,13,13,13.9305237603306,13.9305237603306,13.9305237603306,15.4743081938251,15.4743081938251,15.4743081938251,16.0382570919996,16.0382570919996,17,17,17,17,17,17.84610958816,17.84610958816,17.84610958816,17.5143820702887,17.5143820702887,17.5143820702887,18,18,19,19,19,19,19,19,19,19,19,19,19,19,19,19,18.1662033892152,18.1662033892152,18.1662033892152,17,17,14.048137044043,14.048137044043,14.048137044043,12.5265531610082,12.5265531610082,12.5265531610082,11,11,11,8.66269068982577,8.66269068982577,8.66269068982577,7.00000000000004,7.00000000000004,6.02631543710443,6.02631543710443,6.02631543710443,6,6,6,5.36077095663236,5.36077095663236,5.36077095663236,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,5.99999999999998,5.99999999999998,6,6,6.00000000000005,6.00000000000005,6,6,6,6,6,6,6,5.75839145747188,5.75839145747188,5.99999999999999,5.99999999999999,5.99999999999999,6,6,5.09483691237123,5.09483691237123,5,5,5,5,null,null,null,null,5.00000000000005,5.00000000000005,5.00000000000005,null,null,null,null,null,null,5.69174700713508,5.69174700713508,5.69174700713508,6,6,6.99999999999995,6.99999999999995,7.00000000000004,7.00000000000004,7.00000000000004,8.1155083674902,8.1155083674902,9.47057524996471,9.47057524996471,9.47057524996471,10,10,11.0000000000001,11.0000000000001,12.905274664035,12.905274664035,12.905274664035,13,13,13.9305237603306,13.9305237603306,13.9305237603306,15.4743081938251,15.4743081938251,15.4743081938251,16.0382570919996,16.0382570919996,17,17,17,17.2246794553012,17.2246794553012,18,18,18,18,18,18,18.1426249223684,18.1426249223684,18.9999999999999,18.9999999999999,18.9999999999999,19,19,19,19,19,19,19,19,19,19,19,18.5831016946076,18.5831016946076,18.5831016946076,16.8216660843711,16.8216660843711,14.0481370440431,14.0481370440431,14.0481370440431,13,13,13,11,11,11,8.32538137965158,8.32538137965158,8.32538137965158,7.84856755029929,7.84856755029929,7,7,7,6.00000000000005,6.00000000000005,6.00000000000005,5.36077095663234,5.36077095663234,5.36077095663234,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999994,5.99999999999994,6,6,5.70503007322887,5.70503007322887,6,6,6.98341202974852,6.98341202974852,6,6,6,6,6,6,6,6,6,5.78215686223852,5.78215686223852,5.78215686223852,5.99999999999995,5.99999999999995,5,5,5,5,null,null,null,null,null,null,5.99999999999994,5.99999999999994,5.99999999999994,null,null,null,null,5.00000000000006,5.00000000000006,5.3082529928649,5.3082529928649,5.3082529928649,6,6,6,6,7.72449609558099,7.72449609558099,7.72449609558099,8.1155083674902,8.1155083674902,9,9,9,10,10,12,12,12.905274664035,12.905274664035,12.905274664035,13,13,13.9305237603306,13.9305237603306,13.9305237603306,15.4743081938251,15.4743081938251,15.4743081938251,16,16,16.6218841573329,16.6218841573329,16.6218841573329,17,17,17.84610958816,17.84610958816,17.84610958816,18,18,18,18,18,18,18,18,19,19,19,18.2125062783052,18.2125062783052,19,19,19,19,19,19,18.1662033892152,18.1662033892152,18.1662033892152,16,16,15,15,15,13,13,13,11.4678631530612,11.4678631530612,11.4678631530612,8.66269068982582,8.66269068982582,8.66269068982582,7,7,7,7,7,6.99999999999996,6.99999999999996,6.99999999999996,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4.99999999999998,4.99999999999998,6,6,6,6,6,6,6.98341202974852,6.98341202974852,6,6,5.99999999999998,5.99999999999998,6,6,6,6,6,5.21784313776143,5.21784313776143,5.21784313776143,5.16891314405507,5.16891314405507,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.00000000000002,6.00000000000002,5.30825299286488,5.30825299286488,5.30825299286488,6,6,6,6,7.27550390441897,7.27550390441897,7.27550390441897,8.11550836749018,8.11550836749018,8.99999999999998,8.99999999999998,8.99999999999998,9.99999999999998,9.99999999999998,12,12,12,12,12,13,13,13.9305237603306,13.9305237603306,13.9305237603306,15.4743081938251,15.4743081938251,15.4743081938251,16.0382570919996,16.0382570919996,17,17,17,17,17,17.84610958816,17.84610958816,17.84610958816,18,18,18,18,18,18,18,18,19,19,19,18.2125062783052,18.2125062783052,19,19,19,19,19,19,18.5831016946076,18.5831016946076,18.5831016946076,16.8216660843711,16.8216660843711,15,15,15,13,13,13,11.4678631530611,11.4678631530611,11.4678631530611,9.32538137965155,9.32538137965155,9.32538137965155,6.99999999999998,6.99999999999998,7,7,7,6.1967682601254,6.1967682601254,6.1967682601254,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6,6,6,6,6,6.98341202974852,6.98341202974852,6,6,6.83802972671544,6.83802972671544,5.99999999999999,6,6,6,6,6.00000000000001,6.00000000000001,6.00000000000001,6,6,null,null,null,null,null,null,null,null,5,5,null,null,null,null,null,null,null,5,5,6.00000000000002,6.00000000000002,6.00000000000002,6,6,6,6,7.72449609558101,7.72449609558101,7.72449609558101,9.1155083674902,9.1155083674902,9.99999999999999,9.99999999999999,9.99999999999999,11,11,11,11,12,12,12,12.4073663376872,12.4073663376872,13,13,13,16,16,16,16,16,16,16,16,17,17,17,17,17,18,18,18,18,18,18.1834715624312,18.1834715624312,18.1834715624312,19,19,19,19.2125062783052,19.2125062783052,19.0667323641311,19.0667323641311,19.0667323641311,19,19,19,18.5831016946076,18.5831016946076,18.5831016946076,16.8216660843711,16.8216660843711,15,15,15,14,14,14,12,12,12,9.66269068982578,9.66269068982578,9.66269068982578,8,8,7.00000000000001,7.00000000000001,7.00000000000001,6,6,6,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4.99999999999999,6,6,6,6,6,6,6,6,6.98341202974852,6.98341202974852,5.99999999999999,5.99999999999999,7.00000000000001,7.00000000000001,6.78634838135425,6,6,6.24160854252814,6.24160854252814,5.21784313776144,5.21784313776144,5.21784313776144,5.83108685594491,5.83108685594491,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5.99999999999999,5.99999999999999,6.35668559562389,6.35668559562389,8,8,8,9.1155083674902,9.1155083674902,10.5294247500353,10.5294247500353,10.5294247500353,10.9659245237936,10.9659245237936,11,11,12,12,12,12,12,13,13,13,15.4743081938251,15.4743081938251,15.4743081938251,16,16,16,16,16,17,17,17.84610958816,17.84610958816,17.84610958816,18,18,18,18,18,18.1834715624312,18.1834715624312,18.1834715624312,19,19,19,19.2125062783052,19.2125062783052,19.0667323641311,19.0667323641311,19.0667323641311,18.3316992475255,18.3316992475255,18.3316992475255,18.1662033892152,18.1662033892152,18.1662033892152,16.8216660843711,16.8216660843711,15,15,15,14,14,14,12,12,12,9.66269068982578,9.66269068982578,9.66269068982578,8,8,6.02631543710438,6.02631543710438,6.02631543710438,6,6,6,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.5,5.5,6,6,6,6,6,6,6,6,6,6.98341202974852,6.98341202974852,6.91479486498983,6.91479486498983,6,6,6.78634838135425,6,6,6,6,5.78215686223855,5.78215686223855,5.78215686223855,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5.30825299286489,5.30825299286489,5.30825299286489,6.98764824541445,6.98764824541445,6.6433144043761,6.6433144043761,7.99999999999999,7.99999999999999,7.99999999999999,9.1155083674902,9.1155083674902,10,10,10,11,11,11.4246636685033,11.4246636685033,12,12,12,12.4073663376872,12.4073663376872,13.9305237603306,13.9305237603306,13.9305237603306,15.4743081938251,15.4743081938251,15.4743081938251,15.9617429080004,15.9617429080004,15.6218841573329,15.6218841573329,15.6218841573329,17,17,17.84610958816,17.84610958816,17.84610958816,18,18,18,18,18,18.1834715624312,18.1834715624312,18.1834715624312,19,19,19,19.2125062783052,19.2125062783052,19.0667323641311,19.0667323641311,19.0667323641311,18.3316992475255,18.3316992475255,18.3316992475255,18,18,18,16,16,15,15,15,13.2632765805041,13.2632765805041,13.2632765805041,11,11,11,10,10,10,7.99999999999999,7.99999999999999,7.02631543710439,7.02631543710439,7.02631543710439,6,6,6,5.36077095663235,5.36077095663235,5.36077095663235,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.85176900680902,5.85176900680902,5.8981352189007,5.67247761313222,5.67247761313222,6,6,6,6,6,6,6.99999999999991,6.99999999999991,6.99999999999992,6.99999999999992,6,6,6.21365161864573,6.00000000000002,6.00000000000002,6,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,7,7,8,8,8.99999999999997,8.99999999999997,8.99999999999997,9.11550836749028,9.11550836749028,10.5294247500353,10.5294247500353,10.5294247500353,11,11,12,12,12,12,12,13,13,13,13,13,15.474308193825,15.474308193825,15.474308193825,14.9617429080004,14.9617429080004,15.6218841573329,15.6218841573329,15.6218841573329,16.9999999999999,16.9999999999999,17.9999999999999,17.9999999999999,17.9999999999999,18,18,18,18.1426249223684,18.1426249223684,18,18,18,19.5067042003129,19.5067042003129,19.5067042003129,19.2125062783052,19.2125062783052,19.0667323641311,19.0667323641311,19.0667323641311,18.3316992475256,18.3316992475256,18.3316992475256,18.1662033892152,18.1662033892152,18.1662033892152,16.8216660843711,16.8216660843711,15.0000000000001,15.0000000000001,15.0000000000001,13.5265531610082,13.5265531610082,13.5265531610082,11,11,11,9.00000000000003,9.00000000000003,9.00000000000003,8.84856755029927,8.84856755029927,7.02631543710439,7.02631543710439,7.02631543710439,6,6,6,5.63922904336759,5.63922904336759,5.63922904336759,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,4.99999999999987,4.99999999999987,5,5.00000000000001,5.00000000000004,5.00000000000004,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000001,5.00000000000001,5.89813521890071,5.67247761313226,5.67247761313226,6,6,6,6,6.00000000000001,6.00000000000001,6.01658797025157,6.01658797025157,6.08520513501016,6.08520513501016,6.00000000000008,6.00000000000008,6,6.24020701152481,6.24020701152481,6,6,5.99999999999992,5.99999999999992,5.99999999999992,6,6,5.49999999999996,5.49999999999996,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999997,5.99999999999997,5.99999999999997,6.99999999999991,6.99999999999991,8.0000000000001,8.0000000000001,8.72449609558114,8.72449609558114,8.72449609558114,10,10,11,11,11,11,11,11.9999999999999,11.9999999999999,12,12,12,13,13,13.0000000000001,13.0000000000001,13.0000000000001,15,15,15,15,15,15,15,15,16.2246794553012,16.2246794553012,16.9999999999998,16.9999999999998,16.9999999999998,18,18,18,18.1426249223685,18.1426249223685,18.0000000000001,18.0000000000001,18.0000000000001,20,20,20,19.2125062783052,19.2125062783052,19.0667323641312,19.0667323641312,19.0667323641312,19,19,19,18,18,18,16.8216660843712,16.8216660843712,16,16,16,14,14,14,10.9357263061223,10.9357263061223,10.9357263061223,9.3253813796515,9.3253813796515,9.3253813796515,8.15143244970075,8.15143244970075,7.02631543710439,7.02631543710439,7.02631543710439,6,6,6,5.00000000000003,5.00000000000003,5.00000000000003,5.00000000000005,5.00000000000005,5.00000000000005,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4.99999999999998,4.99999999999998,3.67751416501963,3.67751416501963,4.99999999999998,5.125066406165,5.44940812546678,5.44940812546678,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000002,5.00000000000002,5.14823099319091,5.14823099319091,6,6,6,6,6,6,6,6.14334013103525,6.14334013103525,6.98341202974852,6.98341202974852,6.00000000000002,6.00000000000002,6.83802972671544,6.83802972671544,6,6,6,5.99999999999998,5.99999999999998,5.21784313776145,5.21784313776145,5.21784313776145,6,6,5.09483691237125,5.09483691237125,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,5.69174700713509,5.69174700713509,5.69174700713509,6.0247035091711,6.0247035091711,9,9,9.99999999999998,9.99999999999998,9.99999999999998,10.1155083674902,10.1155083674902,11,11,11,11,11,11,11,12,12,12,13,13,14,14,14,15,15,15,15,15,15,15,15,15.2246794553012,15.2246794553012,15,15,15,18,18,18,19,19,18.8165284375688,18.8165284375688,18.8165284375688,20,20,20,19.2125062783052,19.2125062783052,20,20,20,19,19,19,18,18,18,17.8216660843711,17.8216660843711,16,16,16,14,14,14,10.4678631530612,10.4678631530612,10.4678631530612,8.66269068982579,8.66269068982579,8.66269068982579,9,9,7.05263087420878,7.05263087420878,7.05263087420878,6,6,6,5.36077095663235,5.36077095663235,5.36077095663235,5.51917827125171,5.51917827125171,5.51917827125171,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,4,3.33875708250979,3.33875708250979,3.99999999999996,4.125066406165,5,5,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,5.14823099319091,5.14823099319091,6,6,6,6,6,6,6,6,6,6.99999999999997,6.99999999999997,7,7,6.83802972671544,6.83802972671544,6,6,6,5.24160854252813,5.24160854252813,5,5,5,5.83108685594492,5.83108685594492,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999997,5.99999999999997,5.00000000000002,5.00000000000002,5.00000000000002,6.0247035091711,6.0247035091711,9,9,9,9,9,10.1155083674902,10.1155083674902,11,11,11,11,11,11.4246636685033,11.4246636685033,12,12,12,13.4073663376872,13.4073663376872,14,14,14,15,15,15,15,15,15,15,15,15,15,13.84610958816,13.84610958816,13.84610958816,18,18,18,19,19,18.8165284375688,18.8165284375688,18.8165284375688,19.4932957996871,19.4932957996871,19.4932957996871,20,20,20,20,20,19,19,19,18,18,18,17,17,15.048137044043,15.048137044043,15.048137044043,14,14,14,11.4678631530612,11.4678631530612,11.4678631530612,9,9,9,9,9,7.0526308742088,7.0526308742088,7.0526308742088,6,6,6,5.00000000000001,5.00000000000001,5.00000000000001,5.48082172874829,5.48082172874829,5.48082172874829,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3.99999999999997,3.99999999999994,2.33875708250979,2.33875708250979,2.2788034177949,3.25013281233,4.99999999999988,4.99999999999988,4.99999999999991,4.99999999999992,4.99999999999992,5,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999998,5.99999999999998,5.14823099319091,5.14823099319091,6,6,6,6,6,5.99999999999998,5.99999999999998,6.14334013103525,6.14334013103525,6,6,6.91479486498983,6.91479486498983,6.83802972671542,6.83802972671542,6,5.99999999999999,5.99999999999999,5.24160854252808,5.24160854252808,4.99999999999988,4.99999999999988,4.99999999999988,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000003,5.00000000000003,5.69174700713511,5.69174700713511,5.69174700713511,6.01235175458555,6.01235175458555,8.99999999999998,8.99999999999998,9,9,9,10.1155083674902,10.1155083674902,11,11,11,11,11,11.4246636685033,11.4246636685033,12,12,12,13.4073663376872,13.4073663376872,14,14,14,15,15,15,15,15,15,15,15,15.7753205446987,15.7753205446987,14.69221917632,14.69221917632,14.69221917632,18,18,18,19,19,19,19,19,19.4932957996872,19.4932957996872,19.4932957996872,20,20,20,20,20,19,19,19,17.5831016946076,17.5831016946076,17.5831016946076,17,17,14.0962740880861,14.0962740880861,14.0962740880861,14,14,14,11.4678631530611,11.4678631530611,11.4678631530611,9.00000000000002,9.00000000000002,9.00000000000002,8.99999999999997,8.99999999999997,8.02631543710442,8.02631543710442,8.02631543710442,6.00000000000003,6.00000000000003,6.00000000000003,5.36077095663239,5.36077095663239,5.36077095663239,5.48082172874831,5.48082172874831,5.48082172874831,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.99999999999997,2.02248025461535,1.33875708250977,1.33875708250977,2,1.87493359383495,0.999999999999967,0.999999999999967,1.99799513703747,2.46749483057036,2.46749483057036,4.91861144614277,null,null,null,null,null,null,null,null,null,null,null,null,null,5.42262937974091,5.42262937974091,5.14823099319091,5.14823099319091,6.00000000000003,6,6,6,6,5.29496992677117,5.29496992677117,6.14334013103525,6.14334013103525,6.00000000000003,6.00000000000003,6.9147948649898,6.9147948649898,6.00000000000003,6.00000000000003,6,5.75979298847515,5.75979298847515,3.4832170850562,3.4832170850562,1,1,1,5.83108685594487,5.83108685594487,5.99999999999997,5.99999999999997,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999997,5.99999999999997,5.69174700713511,5.69174700713511,5.69174700713511,5.99999999999997,5.99999999999997,8.35668559562388,8.35668559562388,9,9,9,9.99999999999997,9.99999999999997,10.5294247500353,10.5294247500353,10.5294247500353,11,11,12,12,12.905274664035,12.905274664035,12.905274664035,13.4073663376872,13.4073663376872,14,14,14,14.4743081938251,14.4743081938251,14.4743081938251,15,15,15,15,15,14.7753205446988,14.7753205446988,15.69221917632,15.69221917632,15.69221917632,18,18,18,18.8573750776316,18.8573750776316,19,19,19,20,20,20,20,20,20,20,20,18.3316992475255,18.3316992475255,18.3316992475255,18,18,18,16.8216660843711,16.8216660843711,15,15,15,13.2632765805041,13.2632765805041,13.2632765805041,10.9357263061223,10.9357263061223,10.9357263061223,9.66269068982575,9.66269068982575,9.66269068982575,8,8,8.99999999999997,8.99999999999997,8.99999999999997,6.99999999999997,6.99999999999997,6.99999999999997,6.36077095663236,6.36077095663236,6.36077095663236,5.99999999999998,5.99999999999998,5.99999999999998,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1.99999999999996,1.99999999999993,0,0,1.99999999999996,0.874933593834949,0,0,0,0.934989661140846,0.934989661140846,3.9186114461428,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999998,5.99999999999998,5.14823099319091,5.14823099319091,6.89813521890067,6.00000000000002,6.00000000000002,6,6,6,6,6.14334013103525,6.14334013103525,6.98341202974852,6.98341202974852,6,6,6.83802972671542,6.83802972671542,5.99999999999999,5.24020701152475,5.24020701152475,1.48321708505637,1.48321708505637,1.00000000000018,1.00000000000018,1.00000000000018,4.49326056783479,4.49326056783479,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000004,5.00000000000004,5.69174700713512,5.69174700713512,5.69174700713512,5.01235175458555,5.01235175458555,7.99999999999999,7.99999999999999,8.99999999999997,8.99999999999997,8.99999999999997,9.1155083674902,9.1155083674902,10.5294247500352,10.5294247500352,10.5294247500352,11,11,12,12,12,12,12,13.4073663376872,13.4073663376872,13.9305237603305,13.9305237603305,13.9305237603305,14.4743081938251,14.4743081938251,14.4743081938251,14.9617429080004,14.9617429080004,14.6218841573329,14.6218841573329,14.6218841573329,15,15,16.69221917632,16.69221917632,16.69221917632,18,18,18,18.8573750776316,18.8573750776316,19,19,19,20,20,20,20,20,20.0667323641311,20.0667323641311,20.0667323641311,18.3316992475255,18.3316992475255,18.3316992475255,18,18,18,16,16,15,15,15,13.7367234194959,13.7367234194959,13.7367234194959,11,11,11,8.6626906898258,8.6626906898258,8.6626906898258,7.99999999999999,7.99999999999999,8,8,8,6.1967682601254,6.1967682601254,6.1967682601254,6.36077095663234,6.36077095663234,6.36077095663234,5.51917827125169,5.51917827125169,5.51917827125169,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,4.99999999999998,4.99999999999998,1.00000000000002,0.0224802546153455,1.52995817309636e-14,1.52995817309636e-14,0.999999999999967,0,0,0,0,1.40248449171124,1.40248449171124,3.95930572307144,null,null,null,null,null,null,null,null,null,null,null,null,6,5.42262937974089,5.42262937974089,5.14823099319091,5.14823099319091,6,6.67247761313221,6.67247761313221,6,6,6,6,6.14334013103524,6.14334013103524,6.98341202974852,6.98341202974852,6.00000000000004,6.00000000000004,6.16197027328455,6.16197027328455,5.78634838135422,2.96082804609927,2.96082804609927,4.2751743724156,4.2751743724156,5.78215686223856,5.78215686223856,5.78215686223856,5.83108685594487,5.83108685594487,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999995,5.99999999999995,6,6,6,5.01235175458555,5.01235175458555,7.71337119124776,7.71337119124776,8.27550390441897,8.27550390441897,8.27550390441897,9.1155083674902,9.1155083674902,10,10,10,11,11,12,12,12,12,12,13,13,13,13,13,14.4743081938251,14.4743081938251,14.4743081938251,14,14,14,14,14,16,16,17.6922191763199,17.6922191763199,17.6922191763199,18,18,18,18.8573750776316,18.8573750776316,19,19,19,20,20,20,20,20,20.0667323641311,20.0667323641311,20.0667323641311,18.3316992475255,18.3316992475255,18.3316992475255,17.4168983053924,17.4168983053924,17.4168983053924,16.8216660843711,16.8216660843711,14.048137044043,14.048137044043,14.048137044043,12.5265531610082,12.5265531610082,12.5265531610082,10.4678631530612,10.4678631530612,10.4678631530612,9.32538137965156,9.32538137965156,9.32538137965156,7.8485675502993,7.8485675502993,7.97368456289561,7.97368456289561,7.97368456289561,6.1967682601254,6.1967682601254,6.1967682601254,6,6,6,5.00000000000002,5.00000000000002,5.00000000000002,5.99999999999995,5.99999999999995,5.99999999999995,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,4.68227341598607,4.68227341598607,1.45098446773807,0,0.338757082509827,0.338757082509827,0.278803417794915,0,0,0,-6.0097767021668e-14,1.40248449171118,1.40248449171118,4.9186114461428,null,null,null,null,null,null,null,null,null,null,null,null,6,5.42262937974089,5.42262937974089,5.14823099319088,5.14823099319088,6,6.32752238686778,6.32752238686778,6,6,6,6,6,6,6.98341202974855,6.98341202974855,6.91479486498983,6.91479486498983,6,6,5.21365161864575,1.441242069149,1.441242069149,4.27517437241556,4.27517437241556,6,6,6,4.99999999999997,4.99999999999997,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,6.00000000000001,6.00000000000001,6.00000000000001,5.01235175458552,5.01235175458552,7.35668559562392,7.35668559562392,7.99999999999997,7.99999999999997,7.99999999999997,9.1155083674902,9.1155083674902,10,10,10,11,11,11.4246636685033,11.4246636685033,12,12,12,13,13,13,13,13,14.4743081938251,14.4743081938251,14.4743081938251,14,14,14.621884157333,14.621884157333,14.621884157333,16,16,17,17,17,18,18,18,18.8573750776316,18.8573750776316,18.8165284375688,18.8165284375688,18.8165284375688,20.5067042003129,20.5067042003129,20.5067042003129,20,20,20.0667323641311,20.0667323641311,20.0667323641311,19,19,19,17.4168983053924,17.4168983053924,17.4168983053924,16.8216660843711,16.8216660843711,14.048137044043,14.048137044043,14.048137044043,14,14,14,12,12,12,9.32538137965155,9.32538137965155,9.32538137965155,7,7,7.97368456289564,7.97368456289564,7.97368456289564,6.19676826012537,6.19676826012537,6.19676826012537,6,6,6,5.51917827125169,5.51917827125169,5.51917827125169,4.99999999999997,4.99999999999997,4.99999999999997,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,3.00000000000003,3.00000000000003,1.08823835080356,0,0,0,0,0,0,0,1.99599027407507,3.4674948305704,3.4674948305704,4.9593057230714,null,null,null,null,null,null,null,null,null,null,null,null,null,5.42262937974089,5.42262937974089,6,6,6,6,6,6,6,5.99999999999998,5.99999999999998,5.99999999999997,5.99999999999997,6,6,6.91479486498986,6.91479486498986,6,6,5.21365161864578,1.75979298847508,1.75979298847508,5.75839145747186,5.75839145747186,6,6,6,5.83108685594491,5.83108685594491,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5.69174700713512,5.69174700713512,5.69174700713512,6,6,6.35668559562389,6.35668559562389,9.00000000000001,9.00000000000001,9.00000000000001,9.1155083674902,9.1155083674902,10,10,10,11,11,11,11,12,12,12,13,13,13,13,13,14.4743081938251,14.4743081938251,14.4743081938251,14,14,13.6218841573329,13.6218841573329,13.6218841573329,16,16,16,16,16,18,18,18,18.1426249223685,18.1426249223685,19,19,19,19.5067042003129,19.5067042003129,19.5067042003129,19,19,20,20,20,18.3316992475255,18.3316992475255,18.3316992475255,17,17,17,17,17,15,15,15,13,13,13,11,11,11,9.66269068982578,9.66269068982578,9.66269068982578,7.15143244970067,7.15143244970067,7.02631543710436,7.02631543710436,7.02631543710436,7.1967682601254,7.1967682601254,7.1967682601254,6,6,6,6.00000000000001,6.00000000000001,6.00000000000001,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1.99999999999997,1.99999999999997,0.725492233869032,0,0,0,0,0,-1.38149229438898e-14,-1.38149229438898e-14,1.99599027407507,3.93498966114083,3.93498966114083,5,null,null,4.99999999999998,4.99999999999998,4.99999999999998,4.99999999999998,4.99999999999998,4.99999999999997,null,null,null,null,null,5.42262937974089,5.42262937974089,6,6,6,6,6,6,6,6.70503007322887,6.70503007322887,6.85665986896475,6.85665986896475,6,6,6,6,6,6,4.21365161864577,4.55875793085098,4.55875793085098,6,6,6,6,6,null,null,null,null,null,null,null,null,6,6,5.5,5.5,6,6,6,null,null,null,null,5,5,5.30825299286489,5.30825299286489,5.30825299286489,5.98764824541445,5.98764824541445,6.35668559562387,6.35668559562387,8.72449609558102,8.72449609558102,8.72449609558102,9.1155083674902,9.1155083674902,10,10,10,11,11,11,11,12,12,12,13,13,13.9305237603306,13.9305237603306,13.9305237603306,14.4743081938251,14.4743081938251,14.4743081938251,14,14,13.6218841573329,13.6218841573329,13.6218841573329,16,16,16.84610958816,16.84610958816,16.84610958816,17.4856179297114,17.4856179297114,17.4856179297114,18,18,18.1834715624312,18.1834715624312,18.1834715624312,18.5067042003129,18.5067042003129,18.5067042003129,19,19,19,19,19,18.3316992475255,18.3316992475255,18.3316992475255,17.5831016946076,17.5831016946076,17.5831016946076,17,17,15,15,15,13,13,13,11.5321368469388,11.5321368469388,11.5321368469388,9.66269068982576,9.66269068982576,9.66269068982576,7.15143244970067,7.15143244970067,8,8,8,7.1967682601254,7.1967682601254,7.1967682601254,6,6,6,5.51917827125172,5.51917827125172,5.51917827125172,null,null,null,5.50000000000001,5.50000000000001,5.50000000000001,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3.99999999999985,3.36454683197189,3.36454683197189,0.725492233868977,0,0,0,5.42867176472961e-14,7.52731210695866e-14,0.550591874533331,0.550591874533331,1.99799513703768,3.93498966114091,3.93498966114091,5,null,null,null,null,null,5.99999999999993,5.99999999999993,5.99999999999992,5,5,5.49999999999997,5.49999999999997,5.00000000000002,5.42262937974093,5.42262937974093,5.99999999999994,5.99999999999994,6,5.99999999999998,5.99999999999998,6,6,6,6,6.8566598689647,6.8566598689647,6.00000000000007,6.00000000000007,6,6,6,6,3.4273032372915,4.79896494237584,4.79896494237584,6.00000000000008,6.00000000000008,6.00000000000002,6.00000000000002,6.00000000000002,null,null,null,null,6,6,5.50000000000003,5.50000000000003,5.99999999999992,5.99999999999992,5.45197093658714,5.45197093658714,6,6,6,null,null,null,null,5.00000000000008,5.00000000000008,5.69174700713513,5.69174700713513,5.69174700713513,6,6,6.99999999999995,6.99999999999995,8.72449609558089,8.72449609558089,8.72449609558089,9.11550836749019,9.11550836749019,9.99999999999996,9.99999999999996,9.99999999999996,10.9999999999999,10.9999999999999,11,11,12,12,12,12.4073663376873,12.4073663376873,13.9305237603305,13.9305237603305,13.9305237603305,15,15,15,13.9617429080005,13.9617429080005,14,14,14,15.9999999999999,15.9999999999999,16.15389041184,16.15389041184,16.15389041184,17,17,17,18,18,18.1834715624311,18.1834715624311,18.1834715624311,18.493295799687,18.493295799687,18.493295799687,18.7874937216946,18.7874937216946,17.9332676358689,17.9332676358689,17.9332676358689,17.3316992475255,17.3316992475255,17.3316992475255,17.5831016946075,17.5831016946075,17.5831016946075,16.8216660843711,16.8216660843711,15.951862955957,15.951862955957,15.951862955957,13.0000000000001,13.0000000000001,13.0000000000001,12.0000000000001,12.0000000000001,12.0000000000001,10.3253813796516,10.3253813796516,10.3253813796516,7.00000000000006,7.00000000000006,8.00000000000007,8.00000000000007,8.00000000000007,7.1967682601254,7.1967682601254,7.1967682601254,6.00000000000003,6.00000000000003,6.00000000000003,5.00000000000004,5.00000000000004,5.00000000000004,5,5,5,5.17733279783085,5.17733279783085,5.17733279783085,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.00000000000016,1.36454683197204,1.36454683197204,0,0,0,0,0.721196582205093,1.00000000000001,2.10118374906651,2.10118374906651,3.99799513703761,5.00000000000008,5.00000000000008,null,null,null,null,5,5,5,5,5,5,5,5.04374624764041,5.04374624764041,5.2788143842713,6,6,5.14823099319091,5.14823099319091,6,5.67247761313223,5.67247761313223,6,6,6.00000000000006,6.00000000000006,6.14334013103531,6.14334013103531,6.98341202974844,6.98341202974844,6,6,5.99999999999993,5.99999999999993,3.42730323729156,5.03917195390068,5.03917195390068,6.99999999999998,6.99999999999998,6.21784313776143,6.21784313776143,6.21784313776143,null,null,null,null,6,6,5.8714026325568,5.8714026325568,5,5,5.5480290634129,5.5480290634129,5.99999999999995,5.99999999999995,5.99999999999995,null,null,null,null,5.99999999999997,5.99999999999997,5.99999999999998,5.99999999999998,5.99999999999998,6,6,6.35668559562394,6.35668559562394,7.00000000000006,7.00000000000006,7.00000000000006,9,9,9.52942475003523,9.52942475003523,9.52942475003523,10,10,11,11,12,12,12,13,13,13,13,13,15,15,15,14.9617429080003,14.9617429080003,13.621884157333,13.621884157333,13.621884157333,15.2246794553012,15.2246794553012,16,16,16,17,17,17,18,18,17.1834715624311,17.1834715624311,17.1834715624311,17,17,17,17,17,17.9332676358689,17.9332676358689,17.9332676358689,17,17,17,17,17,17,17,17,16.0000000000001,16.0000000000001,16.0000000000001,14.2632765805041,14.2632765805041,14.2632765805041,12.9357263061224,12.9357263061224,12.9357263061224,10.6626906898258,10.6626906898258,10.6626906898258,7.84856755029934,7.84856755029934,8.94736912579122,8.94736912579122,8.94736912579122,7.19676826012546,7.19676826012546,7.19676826012546,6.36077095663233,6.36077095663233,6.36077095663233,5.48082172874825,5.48082172874825,5.48082172874825,5,5,5,null,null,null,null,null,null,null,null,null,null,null,5.99999999999992,5.99999999999992,5.99999999999992,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3.96259399550233,1.36454683197204,1.36454683197204,0,0,0,0,0.721196582205151,1.12506640616518,3.10118374906655,3.10118374906655,4.99799513703761,5.99999999999992,5.99999999999992,null,null,null,5,5.00000000000008,5.00000000000008,5.00000000000008,5.00000000000008,5.00000000000002,5.00000000000008,5.00000000000008,5.04374624764048,5.04374624764048,5.27881438427129,6,6,5.14823099319097,5.14823099319097,6,5.67247761313225,5.67247761313225,6,6,6.70503007322879,6.70503007322879,6.85665986896468,6.85665986896468,6,6,6,6,5.16197027328462,5.16197027328462,4.21365161864569,5.27937896542539,5.27937896542539,6.75839145747187,6.75839145747187,6,6,6,null,null,null,null,5.99564937756456,5.99564937756456,6,6,5,5,6,6,5.3490972631313,5.3490972631313,5.3490972631313,null,null,null,null,5.60489830676508,5.60489830676508,5.69174700713507,5.69174700713507,5.69174700713507,6.00000000000008,6.00000000000008,6.99999999999997,6.99999999999997,7.72449609558096,7.72449609558096,7.72449609558096,8.99999999999992,8.99999999999992,9,9,9,10,10,11,11,12,12,12,13,13,13,13,13,15,15,15,14.0382570919996,14.0382570919996,14,14,14,15.0000000000001,15.0000000000001,16,16,16,17,17,17,18,18,17.0000000000001,17.0000000000001,17.0000000000001,17,17,17,17.0000000000001,17.0000000000001,17.9999999999999,17.9999999999999,17.9999999999999,16.9999999999999,16.9999999999999,16.9999999999999,17,17,17,17,17,17,17,17,14.5265531610081,14.5265531610081,14.5265531610081,13.4678631530612,13.4678631530612,13.4678631530612,11.3253813796517,11.3253813796517,11.3253813796517,8.00000000000016,8.00000000000016,8.97368456289569,8.97368456289569,8.97368456289569,8,8,8,5.99999999999995,5.99999999999995,5.99999999999995,5,5,5,5.00000000000003,5.00000000000003,5.00000000000003,null,null,null,6,6,5,5,5,5,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,3.96259399550233,1.36454683197204,1.36454683197204,0,0,1.69995352566276e-15,1.69995352566276e-15,1.44239316441019,3.12506640616502,4.55059187453322,4.55059187453322,5.99799513703753,5.00000000000001,5.00000000000001,null,null,null,5.01069859854762,6,6,6,6,5.23977355583906,5.99999999999999,5.99999999999999,6,6,5.27881438427129,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,3.4273032372915,4.03917195390066,4.03917195390066,6.75839145747187,6.75839145747187,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,5.3082529928649,5.3082529928649,5.3082529928649,6.98764824541445,6.98764824541445,6.64331440437611,6.64331440437611,6.99999999999999,6.99999999999999,6.99999999999999,8,8,9,9,9,10,10,11,11,11.905274664035,11.905274664035,11.905274664035,12.4073663376872,12.4073663376872,13,13,13,14.4743081938251,14.4743081938251,14.4743081938251,14,14,14.3781158426671,14.3781158426671,14.3781158426671,16,16,16,16,16,17,17,17,18,18,18,18,18,16.4932957996871,16.4932957996871,16.4932957996871,17.7874937216948,17.7874937216948,17,17,17,16,16,16,17,17,17,17.1783339156289,17.1783339156289,17,17,17,14.5265531610081,14.5265531610081,14.5265531610081,14,14,14,12.6626906898258,12.6626906898258,12.6626906898258,10,10,10,10,10,8,8,8,5.36077095663236,5.36077095663236,5.36077095663236,5,5,5,5.3271465000839,5.3271465000839,5.3271465000839,5.99999999999999,5.99999999999999,5.99999999999999,6,6,5,5,5,5,5,5,5,5,5,5,5,5,5.5,5.5,5.5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,4,4,3.96259399550233,1.36454683197204,1.36454683197204,0,0,0.338757082509817,0.338757082509817,1.7211965822051,4.12506640616502,5,5,5.00000000000001,6,6,null,null,null,5.99999999999999,6,6,6,6,5.23977355583905,5,5,6,6,5.27881438427129,6,6,6,6,6,6,6,6,6,6.70503007322884,6.70503007322884,6,6,6,6,6,6,5.16197027328456,5.16197027328456,2.64095485593724,4.03917195390066,4.03917195390066,6.75839145747187,6.75839145747187,6.21784313776146,6.21784313776146,6.21784313776146,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.39510169323495,5.39510169323495,5.3082529928649,5.3082529928649,5.3082529928649,7,7,6.35668559562389,6.35668559562389,6,6,6,8.1155083674902,8.1155083674902,9,9,9,9.96592452379364,9.96592452379364,11,11,11.905274664035,11.905274664035,11.905274664035,12.4073663376872,12.4073663376872,13,13,13,14,14,14,14.0382570919996,14.0382570919996,14.3781158426671,14.3781158426671,14.3781158426671,15.2246794553012,15.2246794553012,16,16,16,17,17,17,17.8573750776315,17.8573750776315,17.1834715624312,17.1834715624312,17.1834715624312,16,16,16,17,17,17,17,17,16,16,16,17,17,17,17.1783339156289,17.1783339156289,17,17,17,15,15,15,14,14,14,12.3253813796516,12.3253813796516,12.3253813796516,10.8485675502993,10.8485675502993,9.02631543710439,9.02631543710439,9.02631543710439,8.1967682601254,8.1967682601254,8.1967682601254,5.36077095663236,5.36077095663236,5.36077095663236,5,5,5,5.00000000000001,5.00000000000001,5.00000000000001,5,5,5,5.96949588641816,5.96949588641816,5.88577932708812,5.88577932708812,5.88577932708812,5.74227406062203,5.74227406062203,5.74227406062203,5.00000000000001,5.00000000000001,5.00000000000001,5.00000000000001,5.00000000000001,5.00000000000001,5.31021148640251,5.31021148640251,5.31021148640251,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3.99999999999999,3.99999999999999,3.99999999999998,3.96259399550233,1.36454683197203,1.36454683197203,0,0,0.338757082509832,0.338757082509832,2.44239316441019,4.12506640616503,5,5,6,null,null,null,null,null,5,null,null,null,null,5,5,5,6,6,5.27881438427129,6,6,6.00000000000001,6.00000000000001,6,5.99999999999999,5.99999999999999,6,6,6,6,6,6,6,6,6,6,5.16197027328457,5.16197027328457,1.64095485593723,3.79896494237584,3.79896494237584,6.75839145747187,6.75839145747187,6.99999999999999,6.99999999999999,6.99999999999999,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6,6,6.99999999999998,6.99999999999998,6.35668559562389,6.35668559562389,null,null,null,8,8,8.99999999999999,8.99999999999999,8.99999999999999,10,10,11,11,12,12,12,12.4073663376872,12.4073663376872,13,13,13,14,14,14,15,15,15,15,15,15,15,16,16,16,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,16,16,16,17,17,17,17,17,17,17,17,15,15,15,14,14,14,12.6626906898258,12.6626906898258,12.6626906898258,10.8485675502993,10.8485675502993,9.0263154371044,9.0263154371044,9.0263154371044,8.19676826012537,8.19676826012537,8.19676826012537,5.99999999999999,5.99999999999999,5.99999999999999,5.00000000000002,5.00000000000002,5.00000000000002,5.67285349991609,5.67285349991609,5.67285349991609,5.17733279783083,5.17733279783083,5.17733279783083,5.96949588641814,5.96949588641814,5.00000000000001,5.00000000000001,5.00000000000001,5,5,5,5.5991020456264,5.5991020456264,5.5991020456264,5.99999999999999,5.99999999999999,5.99999999999999,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,3.51878041837875,3.51878041837875,3.00000000000002,3.94389099325347,0.682273415986022,0.682273415986022,0,0,1.33875708250982,1.33875708250982,2.72119658220509,5,5.00000000000002,5.00000000000002,5.99799513703751,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999998,5.99999999999998,5.27881438427129,5.99999999999999,5.99999999999999,6.8517690068091,6.8517690068091,6,5.67247761313222,5.67247761313222,6,6,6,6,6,6,6,6,6,6,5.99999999999998,5.99999999999998,0.427303237291532,5.03917195390068,5.03917195390068,6.75839145747187,6.75839145747187,6.21784313776146,6.21784313776146,6.21784313776146,5.99999999999998,5.99999999999998,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,null,null,6,6,6,8,8,8.52942475003527,8.52942475003527,8.52942475003527,9.96592452379362,9.96592452379362,11,11,11,11,11,12,12,12.0694762396694,12.0694762396694,12.0694762396694,14,14,14,14,14,14,14,14,15,15,16,16,16,17,17,17,17,17,17,17,17,17,17,17,16.7874937216948,16.7874937216948,16,16,16,16,16,16,17,17,17,17,17,16.048137044043,16.048137044043,16.048137044043,16,16,16,13.5321368469388,13.5321368469388,13.5321368469388,12,12,12,10.8485675502993,10.8485675502993,10.0263154371044,10.0263154371044,10.0263154371044,6.39353652025081,6.39353652025081,6.39353652025081,5.36077095663236,5.36077095663236,5.36077095663236,6,6,6,5.00000000000002,5.00000000000002,5.00000000000002,5.82266720216917,5.82266720216917,5.82266720216917,5,5,5.88577932708813,5.88577932708813,5.88577932708813,5.00000000000002,5.00000000000002,5.00000000000002,5.40089795437359,5.40089795437359,5.40089795437359,5.45537649651059,5.45537649651059,5.45537649651059,5.31021148640251,5.31021148640251,5.31021148640251,5.00000000000002,5.00000000000002,5.00000000000002,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,4,4,3.99999999999998,2.9625939955023,0.682273415986005,0.682273415986005,0,0,1.33875708250983,1.33875708250983,2.72119658220512,5.12506640616504,5.99999999999999,5.99999999999999,5.00200486296249,5.99999999999999,5.99999999999999,null,null,null,null,null,null,null,null,5,null,null,5,5,5,5.42262937974089,5.42262937974089,6.99999999999997,6.99999999999997,6.10186478109929,5.67247761313223,5.67247761313223,6,6,6,6,6,6,6,6,6,6,5.16197027328456,5.16197027328456,2.00000000000006,5.99999999999998,5.99999999999998,6.75839145747185,6.75839145747185,7,7,7,5.16891314405511,5.16891314405511,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.99999999999998,7.99999999999998,8.52942475003528,8.52942475003528,8.52942475003528,9,9,10.4246636685032,10.4246636685032,11,11,11,12,12,13,13,13,14,14,14,14,14,14,14,14,15,15,15,15,15,17,17,17,17,17,17,17,17,17,17,17,16.7874937216948,16.7874937216948,16,16,16,16.6683007524745,16.6683007524745,16.6683007524745,17,17,17,17,17,16,16,16,16,16,16,13,13,13,12,12,12,11,11,9.05263087420876,9.05263087420876,9.05263087420876,7.1967682601254,7.1967682601254,7.1967682601254,5.63922904336765,5.63922904336765,5.63922904336765,6,6,6,6.00000000000002,6.00000000000002,6.00000000000002,5.82266720216918,5.82266720216918,5.82266720216918,5,5,6,6,6,5.99999999999998,5.99999999999998,5.99999999999998,5.00000000000002,5.00000000000002,5.00000000000002,5.99999999999999,5.99999999999999,5.99999999999999,5.00000000000002,5.00000000000002,5.00000000000002,5.83727668034766,5.83727668034766,5.83727668034766,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3.99999999999997,3.99999999999998,3.99999999999999,3.99999999999999,3.26005336604639,1.9625939955023,0,0,0,0,1.67751416501963,1.67751416501963,3.72119658220511,5.87493359383498,5.5505918745332,5.5505918745332,5.99999999999997,5.53250516942958,5.53250516942958,5,5,5,null,null,null,null,null,5,5.5,5.5,null,null,5.00000000000003,5.42262937974089,5.42262937974089,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,5.16197027328456,5.16197027328456,4.35904514406272,5.00000000000001,5.00000000000001,6.00000000000002,6.00000000000002,7,7,7,6.16891314405508,6.16891314405508,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.1155083674902,7.1155083674902,9,9,9,9,9,10,10,11,11,11,12,12,12.9305237603306,12.9305237603306,12.9305237603306,13,13,13,14,14,14,14,14,14.7753205446987,14.7753205446987,15,15,15,17,17,17,18,18,18,18,18,18,18,18,16.7874937216948,16.7874937216948,16,16,16,16.6683007524745,16.6683007524745,16.6683007524745,16,16,16,17,17,16,16,16,16,16,16,14.4678631530612,14.4678631530612,14.4678631530612,13,13,13,11,11,8.05263087420875,8.05263087420875,8.05263087420875,7.19676826012538,7.19676826012538,7.19676826012538,6,6,6,6,6,6,6.67285349991608,6.67285349991608,6.67285349991608,6,6,6,5,5,5.8857793270881,5.8857793270881,5.8857793270881,5.25772593937798,5.25772593937798,5.25772593937798,5.99999999999998,5.99999999999998,5.99999999999998,5.54462350348941,5.54462350348941,5.54462350348941,6,6,6,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5.5,5.5,5.5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,3.24228280601032,3.5187804183788,3.5187804183788,2.26005336604647,0.981296997751163,0,0,0,-4.41485772853503e-14,1.67751416501965,1.67751416501965,4.44239316441023,5.87493359383502,4.99999999999998,4.99999999999998,5,5.53250516942959,5.53250516942959,5,5,5,5,null,null,null,null,5,5.39014963538707,5.39014963538707,null,null,6,5.42262937974091,5.42262937974091,6,6,6,6,6,6,6,6.00000000000001,6.00000000000001,6,6,6,6,6,6,5.16197027328456,5.16197027328456,3.57269676270854,5.24020701152482,5.24020701152482,6.7583914574719,6.7583914574719,7.00000000000004,7.00000000000004,7.00000000000004,5.99999999999999,5.99999999999999,5.90516308762876,5.90516308762876,5.9956493775646,5.9956493775646,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.11550836749011,7.11550836749011,9.00000000000002,9.00000000000002,9.00000000000002,9,9,10,10,10.905274664035,10.905274664035,10.905274664035,11.4073663376872,11.4073663376872,12.9305237603306,12.9305237603306,12.9305237603306,13,13,13,14,14,13.3781158426671,13.3781158426671,13.3781158426671,13.2246794553013,13.2246794553013,15,15,15,17,17,17,18,18,18,18,18,17,17,17,16.7874937216948,16.7874937216948,16,16,16,16,16,16,16.5831016946076,16.5831016946076,16.5831016946076,17,17,16,16,16,16,16,16,14.5321368469389,14.5321368469389,14.5321368469389,13,13,13,11,11,7.07894631131308,7.07894631131308,7.07894631131308,6.39353652025073,6.39353652025073,6.39353652025073,6,6,6,6,6,6,6.00000000000001,6.00000000000001,6.00000000000001,6.00000000000004,6.00000000000004,6.00000000000004,5,5,4.99999999999996,4.99999999999996,4.99999999999996,6,6,6,5.40089795437357,5.40089795437357,5.40089795437357,4.99999999999998,4.99999999999998,4.99999999999998,6.00000000000004,6.00000000000004,6.00000000000004,4.99999999999999,4.99999999999999,4.99999999999999,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.50000000000002,6.50000000000002,6.50000000000002,7.49999999999998,7.49999999999998,5.99999999999988,5.99999999999988,5.99999999999988,5.62431870499341,5.62431870499341,5.62431870499341,6.49999999999994,6.49999999999994,6.49999999999994,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.99999999999994,2.9771036338007,1.99999999999996,1.99999999999997,1.99999999999997,1.26005336604637,0.981296997751163,0,0,0,0.977519745384654,1.33875708250982,1.33875708250982,3.44239316441019,5.12506640616502,5.44940812546679,5.44940812546679,5,5.46749483057039,5.46749483057039,5.0406942769286,5.00000000000003,5.00000000000003,5,5,5,5,5,null,null,null,6,6,6,5.00000000000003,5.00000000000003,6,6,6,6,6,6,6,5.70503007322887,5.70503007322887,6,6,6,6,6.00000000000001,6.00000000000001,5.16197027328456,5.16197027328456,2.5726967627085,5.51958597695034,5.51958597695034,6,6,null,null,null,6.16891314405508,6.16891314405508,6,6,6,6,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8.99999999999994,8.99999999999994,8.47057524996473,8.47057524996473,8.47057524996473,8.96592452379364,8.96592452379364,10,10,10.905274664035,10.905274664035,10.905274664035,12,12,12.9305237603305,12.9305237603305,12.9305237603305,12.4743081938251,12.4743081938251,12.4743081938251,13.9617429080004,13.9617429080004,13,13,13,13,13,14.84610958816,14.84610958816,14.84610958816,16.4856179297114,16.4856179297114,16.4856179297114,17.1426249223684,17.1426249223684,18,18,18,16.4932957996872,16.4932957996872,16.4932957996872,16.7874937216948,16.7874937216948,16,16,16,16,16,16,16,16,16,17,17,16.0000000000001,16.0000000000001,16.0000000000001,16.2632765805041,16.2632765805041,16.2632765805041,14,14,14,13.6626906898258,13.6626906898258,13.6626906898258,11.8485675502994,11.8485675502994,9.05263087420883,9.05263087420883,9.05263087420883,7.99999999999994,7.99999999999994,7.99999999999994,6,6,6,6,6,6,5.67285349991611,5.67285349991611,5.67285349991611,5,5,5,5.03050411358184,5.03050411358184,5.88577932708813,5.88577932708813,5.88577932708813,6,6,6,6,6,6,5.54462350348939,5.54462350348939,5.54462350348939,5,5,5,5.16272331965231,5.16272331965231,5.16272331965231,5,5,5.00000000000005,5.00000000000005,5.00000000000005,5.99999999999994,5.99999999999994,5.99999999999994,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.50000000000001,6.50000000000001,6.50000000000001,6.14051877511443,6.14051877511443,6.14051877511443,7.89883377299938,7.89883377299938,8.64412851889018,8.64412851889018,8.64412851889018,10,10,10,7.72163110700518,7.72163110700518,7.72163110700518,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,1.00000000000006,1.24228280601025,1.51878041837868,1.51878041837868,0.26005336604645,0.981296997751163,0,0,0,0.977519745384654,1.33875708250986,1.33875708250986,3.44239316441014,5.12506640616502,5.44940812546679,5.44940812546679,5,5.00000000000006,5.00000000000006,5,5.47363834360309,5.47363834360309,5.00000000000006,5.00000000000004,5.00000000000004,5.00000000000001,5.00000000000001,5.49999999999998,null,null,6,6,6,5.57737062025911,5.57737062025911,6,6,6,6,6,6.00000000000003,6.00000000000003,6,6,6,6,6.01658797025148,6.01658797025148,6.08520513501017,6.08520513501017,5.16197027328456,5.16197027328456,2.57269676270855,5.75979298847523,5.75979298847523,6.00000000000006,6.00000000000006,null,null,null,6,6,5.99999999999999,5.99999999999999,5.9956493775646,5.9956493775646,5,5,null,null,null,null,null,null,null,null,null,6,6,null,null,null,null,null,null,null,null,null,null,null,null,8,8,8.52942475003526,8.52942475003526,8.52942475003526,8.96592452379364,8.96592452379364,10,10,10,10,10,12,12,12,12,12,12.4743081938251,12.4743081938251,12.4743081938251,13.0000000000001,13.0000000000001,13,13,13,13,13,14.8461095881599,14.8461095881599,14.8461095881599,16.4856179297113,16.4856179297113,16.4856179297113,17.1426249223685,17.1426249223685,17.9999999999999,17.9999999999999,17.9999999999999,17,17,17,16.7874937216948,16.7874937216948,16,16,16,16,16,16,16,16,16,17,17,16.951862955957,16.951862955957,16.951862955957,16.2632765805041,16.2632765805041,16.2632765805041,14,14,14,14.3253813796516,14.3253813796516,14.3253813796516,12.8485675502993,12.8485675502993,10.0263154371045,10.0263154371045,10.0263154371045,7.00000000000001,7.00000000000001,7.00000000000001,6,6,6,5.99999999999997,5.99999999999997,5.99999999999997,5.99999999999998,5.99999999999998,5.99999999999998,5,5,5,5,5,6,6,6,6,6,6,5.99999999999998,5.99999999999998,5.99999999999998,5.00000000000006,5.00000000000006,5.00000000000006,5.00000000000004,5.00000000000004,5.00000000000004,5.00000000000005,5.00000000000005,5.00000000000005,5,5,5.85726206063036,5.85726206063036,5.85726206063036,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.63007630228811,6.63007630228811,6.63007630228811,7.14051877511449,7.14051877511449,7.14051877511449,9.89883377299927,9.89883377299927,10.6441285188901,10.6441285188901,10.6441285188901,10.6243187049935,10.6243187049935,10.6243187049935,8.7216311070052,8.7216311070052,8.7216311070052,5.00000000000004,5.00000000000004,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,null,null,2.99999999999993,2.99999999999993,2.99999999999993,1.99999999999996,1.99999999999988,1.97710363380068,0.999999999999935,0.518780418378702,0.518780418378702,0.739946633953579,0.981296997751163,0,0,4.15723435331121e-14,0.977519745384655,2.00000000000002,2.00000000000002,2.72119658220511,5.12506640616501,5.44940812546676,5.44940812546676,5.00000000000007,5.99999999999997,5.99999999999997,5.04069427692866,5.99999999999993,5.99999999999993,5.98930140145239,5.57068737388993,5.57068737388993,5.15380012359837,5.15380012359837,5.23977355583909,null,null,5.99999999999994,5.99999999999994,6,5.57737062025911,5.57737062025911,6.00000000000001,6.00000000000001,6.00000000000001,6,6,6.52861600143873,6.52861600143873,6,6,5.99999999999999,5.99999999999999,6.01658797025148,6.01658797025148,6.08520513501017,6.08520513501017,5.16197027328461,5.16197027328461,3.35904514406283,6.75979298847511,6.75979298847511,null,null,null,null,null,null,null,5.90516308762878,5.90516308762878,5.99564937756453,5.99564937756453,5.00000000000001,5.00000000000001,null,null,null,null,null,null,null,null,null,5.99999999999994,5.99999999999994,null,null,null,null,null,null,null,null,null,null,null,null,8,8,8.4705752499647,8.4705752499647,8.4705752499647,8.96592452379364,8.96592452379364,10,10,10,10,10,12,12,12,12,12,12.4743081938251,12.4743081938251,12.4743081938251,13.9617429080003,13.9617429080003,13,13,13,13.2246794553013,13.2246794553013,14.0000000000001,14.0000000000001,14.0000000000001,16,16,16,17.1426249223684,17.1426249223684,17,17,17,17,17,17,16.7874937216947,16.7874937216947,16,16,16,16,16,16,16.4168983053924,16.4168983053924,16.4168983053924,17,17,16.951862955957,16.951862955957,16.951862955957,16.263276580504,16.263276580504,16.263276580504,14.5321368469388,14.5321368469388,14.5321368469388,14.3253813796515,14.3253813796515,14.3253813796515,12.8485675502993,12.8485675502993,11.0263154371043,11.0263154371043,11.0263154371043,7.19676826012545,7.19676826012545,7.19676826012545,6,6,6,5.51917827125171,5.51917827125171,5.51917827125171,5.6728534999161,5.6728534999161,5.6728534999161,5,5,5,5,5,6,6,6,6,6,6,5.59910204562643,5.59910204562643,5.59910204562643,6,6,6,5.68978851359744,5.68978851359744,5.68978851359744,5.83727668034768,5.83727668034768,5.83727668034768,5,5,5.99999999999994,5.99999999999994,5.99999999999994,5.00000000000002,5.00000000000002,5.00000000000002,5.99999999999993,5.99999999999993,5.99999999999993,null,null,null,6,6,6,null,null,null,null,null,null,null,null,7.36992369771184,7.36992369771184,7.36992369771184,8.99999999999992,8.99999999999992,8.99999999999992,9.99999999999992,9.99999999999992,10.9999999999998,10.9999999999998,10.9999999999998,9.37568129500637,9.37568129500637,9.37568129500637,9.90721036900172,9.90721036900172,9.90721036900172,5.6156868972263,5.6156868972263,5.5,5.5,5.5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.00000000000002,2.00000000000002,1.99999999999993,1.35818841868819,0.177180351960873,0,0,0,0,0.739946633953579,0.981296997751227,2.07274354087756e-14,2.07274354087756e-14,0.637253883065508,1,2.33875708250982,2.33875708250982,3.00000000000005,5,5,5,5.99799513703753,5.53250516942955,5.53250516942955,5.95930572307134,5,5,5.98930140145232,5,5,5,5,5.76022644416094,null,null,5.04374624764044,5.04374624764044,6,5.57737062025914,5.57737062025914,6.1482309931909,6.1482309931909,6.10186478109929,6,6,6,6,6,6,5.85665986896475,5.85665986896475,6.01658797025148,6.01658797025148,6.08520513501022,6.08520513501022,5.99999999999993,5.99999999999993,4.57269676270857,6,6,null,null,null,null,null,null,null,6.09483691237129,6.09483691237129,5,5,5.1285973674432,5.1285973674432,null,null,null,null,null,null,null,null,null,5.12262444850469,5.12262444850469,null,null,null,null,null,null,null,null,null,null,null,null,8,8,8,8,8,8.96592452379364,8.96592452379364,9.99999999999994,9.99999999999994,10,10,10,11.4073663376872,11.4073663376872,12,12,12,12.4743081938251,12.4743081938251,12.4743081938251,13,13,13,13,13,14,14,14.84610958816,14.84610958816,14.84610958816,16,16,16,16,16,17,17,17,17,17,17,16,16,16,16,16,16,16,16,16.4168983053924,16.4168983053924,16.4168983053924,17.0000000000001,17.0000000000001,17.0481370440431,17.0481370440431,17.0481370440431,15.2632765805041,15.2632765805041,15.2632765805041,14.5321368469389,14.5321368469389,14.5321368469389,13.3253813796515,13.3253813796515,13.3253813796515,12.8485675502993,12.8485675502993,10.0526308742088,10.0526308742088,10.0526308742088,7.99999999999996,7.99999999999996,7.99999999999996,6,6,6,5.51917827125171,5.51917827125171,5.51917827125171,5.67285349991607,5.67285349991607,5.67285349991607,5.00000000000005,5.00000000000005,5.00000000000005,5.03050411358191,5.03050411358191,5.99999999999994,5.99999999999994,5.99999999999994,6,6,6,6,6,6,5.99999999999997,5.99999999999997,5.99999999999997,5,5,5,5.83727668034764,5.83727668034764,5.83727668034764,5,5,5.14273793936965,5.14273793936965,5.14273793936965,5.3024550629489,5.3024550629489,5.3024550629489,5.00000000000004,5.00000000000004,5.00000000000004,5,5,5,6,6,6,6,6,null,null,null,6,6,6,6.00000000000002,6.00000000000002,6.00000000000002,7.71896244977113,7.71896244977113,7.71896244977113,8.79766754599846,8.79766754599846,7.99999999999993,7.99999999999993,7.99999999999993,9.00000000000004,9.00000000000004,9.00000000000004,9.99999999999999,9.99999999999999,9.99999999999999,10,10,5.51903634329367,5.51903634329367,5.51903634329367,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,null,null,2.99999999999993,2.32792786532791,2.32792786532791,0.99999999999993,0.99999999999993,0.17718035196086,0,0,0,0,0.739946633953579,1.96259399550233,0.317726584014096,0.317726584014096,1.00000000000003,1.00000000000007,2.33875708250977,2.33875708250977,3.72119658220509,5,5.00000000000004,5.00000000000004,5.99799513703746,5,5,5.00000000000007,5,5,5,5,5,5,5,5.76022644416089,null,null,null,null,5.99999999999993,6,6,6,6,6,6.00000000000005,6.00000000000005,6,6,6.00000000000005,6.00000000000005,5.85665986896476,5.85665986896476,5.99999999999993,5.99999999999993,6.91479486498983,6.91479486498983,5,5,5.57269676270853,6,6,6,6,null,null,null,null,null,6.90516308762874,6.90516308762874,5.00435062243547,5.00435062243547,5,5,null,null,null,null,null,null,null,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,7.99999999999993,7.99999999999993,7.99999999999993,7.99999999999993,7.99999999999993,9,9,9.00000000000004,9.00000000000004,10,10,10,11.4073663376872,11.4073663376872,12,12,12,12.4743081938251,12.4743081938251,12.4743081938251,13,13,13,13,13,13.2246794553013,13.2246794553013,14.84610958816,14.84610958816,14.84610958816,16,16,16,16.0000000000001,16.0000000000001,17,17,17,16.4932957996871,16.4932957996871,16.4932957996871,16,16,16,16,16,16,16,16,16.4168983053924,16.4168983053924,16.4168983053924,17.821666084371,17.821666084371,18,18,18,16,16,16,15,15,15,11.662690689826,11.662690689826,11.662690689826,12.8485675502993,12.8485675502993,11.0263154371045,11.0263154371045,11.0263154371045,7.39353652025084,7.39353652025084,7.39353652025084,6.00000000000002,6.00000000000002,6.00000000000002,5.51917827125174,5.51917827125174,5.51917827125174,5.32714650008395,5.32714650008395,5.32714650008395,5.82266720216912,5.82266720216912,5.82266720216912,6,6,5.11422067291194,5.11422067291194,5.11422067291194,6,6,6,5.99999999999993,5.99999999999993,5.99999999999993,5.54462350348946,5.54462350348946,5.54462350348946,5,5,5,5.16272331965232,5.16272331965232,5.16272331965232,5.00000000000007,5.00000000000007,5.14273793936971,5.14273793936971,5.14273793936971,5.69754493705108,5.69754493705108,5.69754493705108,5.53201923462421,5.53201923462421,5.53201923462421,5.00000000000002,5.00000000000002,5.00000000000002,5.99999999999994,5.99999999999994,5.99999999999994,6,6,5,5,5,5.99999999999993,5.99999999999993,5.99999999999993,6.36992369771186,6.36992369771186,6.36992369771186,6,6,6,7.79766754599847,7.79766754599847,7.00000000000005,7.00000000000005,7.00000000000005,9.62431870499361,9.62431870499361,9.62431870499361,9.90721036900164,9.90721036900164,9.90721036900164,10,10,8.03807268658715,8.03807268658715,8.03807268658715,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,1.32792786532798,1.32792786532798,0,0,0,0,0,0,0,0.739946633953579,2,2,2,1.36274611693451,1.97751974538465,1.67751416501963,1.67751416501963,3.72119658220509,5,5.55059187453322,5.55059187453322,5.00200486296247,5,5,5.95930572307141,5,5,5,5,5,5,5,5,null,null,null,null,5,6,6,6,6,6,6.67247761313223,6.67247761313223,6,6,6.70503007322885,6.70503007322885,6,6,5.01658797025148,5.01658797025148,6.91479486498983,6.91479486498983,5,5,6,6,6,6,6,null,null,null,null,null,null,null,6,6,5,5,5,5,null,null,null,null,null,null,null,5,5,5,5,null,null,null,null,null,null,null,null,null,null,7,7,7,7,7,9,9,9.57533633149674,9.57533633149674,10,10,10,11,11,12,12,12,12.4743081938251,12.4743081938251,12.4743081938251,13,13,13,13,13,14.2246794553012,14.2246794553012,15,15,15,15.4856179297114,15.4856179297114,15.4856179297114,17,17,17,17,17,16.4932957996871,16.4932957996871,16.4932957996871,16,16,16,16,16,16,16,16,16.4168983053924,16.4168983053924,16.4168983053924,17.1783339156289,17.1783339156289,17.951862955957,17.951862955957,17.951862955957,16,16,16,15,15,15,15,15,15,12.8485675502993,12.8485675502993,11.9736845628956,11.9736845628956,11.9736845628956,8,8,8,6.36077095663236,6.36077095663236,6.36077095663236,6,6,6,6,6,6,5,5,5,6,6,6,6,6,6,6,6,5,5,5,6,6,6,5,5,5,5.16272331965231,5.16272331965231,5.16272331965231,6,6,6,6,6,5,5,5,5,5,5,5.35983252928749,5.35983252928749,5.35983252928749,5.18014251096194,5.18014251096194,5.18014251096194,5.99211819398119,5.99211819398119,5,5,5,5,5,5,5.36992369771193,5.36992369771193,5.36992369771193,6,6,6,6.89883377299927,6.89883377299927,7.64412851889007,7.64412851889007,7.64412851889007,9.62431870499361,9.62431870499361,9.62431870499361,9,9,9,10,10,10,10,10,6.99999999999999,6.99999999999999,6.99999999999999,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,1.78921399808218,0.663963932663986,0.663963932663986,0,0,0,0,0,2.41485998856222e-15,2.41485998856222e-15,0.73994663395358,2,2,2,2,2,2.01627124752945,2.01627124752945,4,5,5,5,5,5,5,5,5,5,5.01069859854761,5.42931262611003,5.42931262611003,5,5,null,null,null,null,null,5,5.57737062025911,5.57737062025911,6,6,6,6,6,6,6,6.70503007322885,6.70503007322885,6,6,6,6,6.91479486498983,6.91479486498983,5,5,5.78634838135425,6,6,6,6,6,6,6,null,null,null,null,6,6,5,5,6,6,null,null,null,null,null,null,null,5,5,5,5,null,null,null,null,null,null,null,null,null,null,7,7,7.52942475003527,7.52942475003527,7.52942475003527,9,9,10,10,10,10,10,11,11,12,12,12,12.4743081938251,12.4743081938251,12.4743081938251,13,13,13,13,13,15,15,15,15,15,16,16,16,17,17,17,17,17,16.4932957996871,16.4932957996871,16.4932957996871,16,16,16.9332676358689,16.9332676358689,16.9332676358689,16,16,16,16.4168983053924,16.4168983053924,16.4168983053924,17,17,17,17,17,15.7367234194959,15.7367234194959,15.7367234194959,15.9357263061223,15.9357263061223,15.9357263061223,14.6626906898258,14.6626906898258,14.6626906898258,13.6971351005987,13.6971351005987,11.0263154371044,11.0263154371044,11.0263154371044,8.00000000000001,8.00000000000001,8.00000000000001,6.36077095663235,6.36077095663235,6.36077095663235,6,6,6,6,6,6,5.17733279783083,5.17733279783083,5.17733279783083,6,6,6,6,6,6,6,6,5,5,5,6,6,6,5.68978851359748,5.68978851359748,5.68978851359748,6,6,6,6,6,5.14273793936965,5.14273793936965,5.14273793936965,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5.41219368573633,5.41219368573633,5.41219368573633,5.63007630228807,5.63007630228807,5.63007630228807,6,6,6,6.89883377299927,6.89883377299927,8,8,8,8.62431870499361,8.62431870499361,8.62431870499361,9,9,9,10,10,10,10,10,8.84927310269753,8.84927310269753,8.84927310269753,5.00000000000001,5.00000000000001,5.5,5.5,5.5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.99999999999999,2.99999999999999,null,2,1.57842799616437,0,0,0,0,0,0,0,0.481219581621264,0.481219581621264,1.00000000000001,2.01870300224884,2.68227341598602,2.68227341598602,2.00000000000001,2.00000000000001,2.67751416501964,2.67751416501964,4.72119658220509,5,5,5,5.99799513703752,5,5,5,5,5,5.01069859854761,5.42931262611003,5.42931262611003,5,5,null,null,null,null,null,6,5.57737062025912,5.57737062025912,6,6,6.00000000000001,6,6,6,6,6.70503007322885,6.70503007322885,6,6,6,6,6.91479486498982,6.91479486498982,5.16197027328456,5.16197027328456,6,6,6,6,6,6,6,6,null,null,null,null,null,null,5.00000000000001,5.00000000000001,5.99999999999999,5.99999999999999,null,null,null,null,null,null,null,5.87737555149529,5.87737555149529,5.00000000000001,5.00000000000001,null,null,null,null,null,null,null,null,null,null,null,null,7.52942475003526,7.52942475003526,7.52942475003526,9,9,9.99999999999999,9.99999999999999,10,10,10,11,11,12,12,12,12.4743081938251,12.4743081938251,12.4743081938251,13,13,13.6218841573329,13.6218841573329,13.6218841573329,15,15,15.84610958816,15.84610958816,15.84610958816,16,16,16,17,17,17,17,17,16.4932957996871,16.4932957996871,16.4932957996871,16,16,16.0667323641311,16.0667323641311,16.0667323641311,16,16,16,16.4168983053924,16.4168983053924,16.4168983053924,16.1783339156289,16.1783339156289,17.048137044043,17.048137044043,17.048137044043,16.7367234194959,16.7367234194959,16.7367234194959,16.4678631530612,16.4678631530612,16.4678631530612,15.3253813796516,15.3253813796516,15.3253813796516,13,13,11,11,11,9.1967682601254,9.1967682601254,9.1967682601254,6,6,6,6,6,6,6,6,6,5.17733279783083,5.17733279783083,5.17733279783083,6,6,5.88577932708812,5.88577932708812,5.88577932708812,5.99999999999999,5.99999999999999,5.99999999999999,5.00000000000001,5.00000000000001,5.00000000000001,6,6,6,5.68978851359747,5.68978851359747,5.68978851359747,5.99999999999999,5.99999999999999,5.99999999999999,5.98796810409351,5.98796810409351,6,6,6,5,5,5,5.46798076537575,5.46798076537575,5.46798076537575,5,5,5,5.00000000000001,5.00000000000001,5.00000000000001,5,5,5.79494108638234,5.79494108638234,5.79494108638234,5.58780631426367,5.58780631426367,5.58780631426367,6,6,6,6,6,6,6.89883377299926,6.89883377299926,7.99999999999999,7.99999999999999,7.99999999999999,8.37568129500639,8.37568129500639,8.37568129500639,9.09278963099829,9.09278963099829,9.09278963099829,9.79477103425798,9.79477103425798,9.99999999999999,9.99999999999999,9.99999999999999,9.84927310269752,9.84927310269752,9.84927310269752,6.1965580601335,6.1965580601335,5.43851222614498,5.43851222614498,5.43851222614498,5.00000000000003,5.00000000000003,8,8,8,6.5,6.5,6.5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,2,null,null,2,1.57842799616436,0,0,0,0,0,0,3.647476597978e-15,0.481219581621272,0.481219581621272,1.73994663395358,2.01870300224884,2.68227341598602,2.68227341598602,2.63725388306549,3.00000000000002,3.33875708250983,3.33875708250983,4.7211965822051,5,5.55059187453321,5.55059187453321,5.00200486296247,5.00000000000001,5.00000000000001,5,5,5,5.01069859854763,5.42931262611003,5.42931262611003,5,5,null,null,null,null,null,5.99999999999999,6,6,6,6,6.8981352189007,6.32752238686777,6.32752238686777,6,6,6.99999999999999,6.99999999999999,6,6,5.98341202974852,5.98341202974852,5.91479486498983,5.91479486498983,6,6,6,6,6,6,6,6,6,6,5.00000000000003,5.00000000000003,null,null,null,null,6,6,5.27783350512364,5.27783350512364,5.00000000000002,5.00000000000002,null,null,null,null,null,5,5,5.60489830676505,5.60489830676505,null,null,null,null,null,null,null,null,null,null,null,null,7,7,7,8.96592452379362,8.96592452379362,9.42466366850325,9.42466366850325,10,10,10,11.4073663376872,11.4073663376872,11.0694762396694,11.0694762396694,11.0694762396694,12,12,12,13.0382570919996,13.0382570919996,14,14,14,15,15,15,15,15,15.4856179297114,15.4856179297114,15.4856179297114,17,17,17,17,17,16,16,16,16.2125062783052,16.2125062783052,16.9332676358689,16.9332676358689,16.9332676358689,16.3316992475255,16.3316992475255,16.3316992475255,17,17,17,16.1783339156289,16.1783339156289,17.048137044043,17.048137044043,17.048137044043,18,18,18,17,17,17,15,15,15,13,13,12,12,12,9.1967682601254,9.1967682601254,9.1967682601254,6.00000000000001,6.00000000000001,6.00000000000001,6,6,6,6,6,6,5.99999999999999,5.99999999999999,5.99999999999999,5.99999999999998,5.99999999999998,5.11422067291187,5.11422067291187,5.11422067291187,5,5,5,5.59910204562641,5.59910204562641,5.59910204562641,5.54462350348942,5.54462350348942,5.54462350348942,5,5,5,5,5,5,6,6,6,6,6,5.30245506294888,5.30245506294888,5.30245506294888,5,5,5,5.00000000000002,5.00000000000002,5.00000000000002,5.81985748903805,5.81985748903805,5.81985748903805,5.00788180601882,5.00788180601882,6,6,6,5.58780631426366,5.58780631426366,5.58780631426366,6,6,6,5.99999999999999,5.99999999999999,5.99999999999999,6.00000000000001,6.00000000000001,6.99999999999999,6.99999999999999,6.99999999999999,8,8,8,9,9,9,8.20522896574202,8.20522896574202,9.5190363432935,9.5190363432935,9.5190363432935,9.84927310269751,9.84927310269751,9.84927310269751,9.00000000000001,9.00000000000001,8.00000000000002,8.00000000000002,8.00000000000002,8.00000000000002,8.00000000000002,8.00000000000001,8.00000000000001,8.00000000000001,6.7677690336862,6.7677690336862,6.7677690336862,5.00000000000003,5.00000000000003,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1.99999999999998,1.8963602880597,0.789213998082168,0,0,0,0,0,0,0.242282806010267,1.00000000000001,1.00000000000001,1.73994663395358,2,2.31772658401397,2.31772658401397,2.99999999999999,3.97751974538465,4.33875708250981,4.33875708250981,4.99999999999998,5,5.55059187453321,5.55059187453321,5.00200486296249,5.53250516942959,5.53250516942959,5.00000000000002,5.00000000000001,5.00000000000001,6,5.42931262611003,5.42931262611003,5,5,null,null,null,null,null,5,5.99999999999999,5.99999999999999,6,6,6.8981352189007,6.32752238686777,6.32752238686777,6,6,6.70503007322884,6.70503007322884,6,6,6,6,6,6,5.99999999999998,5.99999999999998,6,6.00000000000002,6.00000000000002,6.24160854252813,6.24160854252813,6,6,6,6.83108685594491,6.83108685594491,null,null,null,null,6.00000000000002,6.00000000000002,6,6,5.99999999999999,5.99999999999999,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.96592452379362,7.96592452379362,9.00000000000002,9.00000000000002,10,10,10,11.4073663376872,11.4073663376872,12,12,12,12.5256918061749,12.5256918061749,12.5256918061749,13,13,13,13,13,15,15,14,14,14,15.4856179297113,15.4856179297113,15.4856179297113,17,17,17,17,17,16,16,16,16.7874937216948,16.7874937216948,17,17,17,17,17,17,17,17,17,17,17,17.951862955957,17.951862955957,17.951862955957,18,18,18,16.4678631530612,16.4678631530612,16.4678631530612,15,15,15,13,13,12,12,12,9.19676826012542,9.19676826012542,9.19676826012542,6.36077095663237,6.36077095663237,6.36077095663237,6.00000000000002,6.00000000000002,6.00000000000002,6.32714650008391,6.32714650008391,6.32714650008391,5.17733279783084,5.17733279783084,5.17733279783084,5.03050411358186,5.03050411358186,5.00000000000002,5.00000000000002,5.00000000000002,5.00000000000002,5.00000000000002,5.00000000000002,6,6,6,5.54462350348943,5.54462350348943,5.54462350348943,5.00000000000002,5.00000000000002,5.00000000000002,5,5,5,5.99999999999998,5.99999999999998,5.99999999999998,5.99999999999998,5.99999999999998,5.99999999999999,5.99999999999999,5.99999999999999,5,5,5,5.99999999999999,5.99999999999999,5.99999999999999,5.00000000000002,5.00000000000002,5.00000000000002,5.00788180601884,5.00788180601884,6,6,6,5,5,5,6,6,6,5.1405187751144,5.1405187751144,5.1405187751144,6.89883377299927,6.89883377299927,6.64412851889008,6.64412851889008,6.64412851889008,7.99999999999998,7.99999999999998,7.99999999999998,8.99999999999998,8.99999999999998,8.99999999999998,9,9,9,9,9,9.00000000000002,9.00000000000002,9.00000000000002,9.80344193986651,9.80344193986651,9.43851222614496,9.43851222614496,9.43851222614496,9.00000000000002,9.00000000000002,9.00000000000002,9.00000000000002,9.00000000000002,8.53553806737235,8.53553806737235,8.53553806737235,6.79121476575975,6.79121476575975,6.00000000000001,6.00000000000001,6.00000000000001,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,2.99999999999996,null,0.985643268853111,0,0,0,0,0,0,0,3.44696188992958e-16,0.242282806010278,1.48121958162126,1.48121958162126,2,2,2,2,2.63725388306548,3.97751974538465,4.00000000000001,4.00000000000001,4,5.12506640616502,5.44940812546679,5.44940812546679,5.99799513703753,6,6,5.99999999999998,5.47363834360306,5.47363834360306,5.98930140145237,5.00000000000001,5.00000000000001,5,5,null,null,null,5,5,5,5.42262937974089,5.42262937974089,5.99999999999999,5.99999999999999,6.8981352189007,6.32752238686777,6.32752238686777,5.99999999999999,5.99999999999999,6,6,6,6,6.00000000000002,6.00000000000002,6,6,5.00000000000001,5.00000000000001,6,6.75979298847516,6.75979298847516,6.24160854252813,6.24160854252813,6,6,6,6.8310868559449,6.8310868559449,null,null,null,null,7,7,6,6,5.54802906341286,5.54802906341286,5.00000000000001,5.00000000000001,5.00000000000001,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.99999999999998,6.99999999999998,9.99999999999999,9.99999999999999,11,11,11,11,11,11.9305237603306,11.9305237603306,11.9305237603306,12.5256918061749,12.5256918061749,12.5256918061749,13,13,13,13,13,14,14,13.84610958816,13.84610958816,13.84610958816,14,14,14,16.1426249223684,16.1426249223684,16.1834715624312,16.1834715624312,16.1834715624312,16,16,16,16.2125062783052,16.2125062783052,17.9332676358689,17.9332676358689,17.9332676358689,17,17,17,17,17,17,18,18,17.951862955957,17.951862955957,17.951862955957,17.7367234194959,17.7367234194959,17.7367234194959,17,17,17,15.6626906898258,15.6626906898258,15.6626906898258,13,13,11.0263154371044,11.0263154371044,11.0263154371044,10,10,10,7.36077095663236,7.36077095663236,7.36077095663236,6.99999999999999,6.99999999999999,6.99999999999999,6.67285349991609,6.67285349991609,6.67285349991609,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,5.16272331965232,5.16272331965232,5.16272331965232,5.01203189590649,5.01203189590649,5,5,5,5.30245506294888,5.30245506294888,5.30245506294888,5.00000000000001,5.00000000000001,5.00000000000001,5.35983252928749,5.35983252928749,5.35983252928749,6,6,6,6,6,5.79494108638233,5.79494108638233,5.79494108638233,5.00000000000001,5.00000000000001,5.00000000000001,6,6,6,6,6,6,7,7,7,7,7,7.00000000000001,7.00000000000001,7.00000000000001,8.09278963099829,8.09278963099829,8.09278963099829,9,9,8.96192731341298,8.96192731341298,8.96192731341298,9.84927310269751,9.84927310269751,9.84927310269751,9.00000000000001,9.00000000000001,10,10,10,10,10,10,10,10,9.00000000000002,9.00000000000002,9.00000000000002,9,9,6.34016606618914,6.34016606618914,6.34016606618914,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0.0228963661991861,1,1.48121958162126,1.48121958162126,2,2.00000000000004,2.00000000000004,2.00000000000004,2.6372538830655,3.97751974538465,4.33875708250984,4.33875708250984,4.27880341779494,5.12506640616505,5.44940812546677,5.44940812546677,5.99799513703753,6,6,5.04069427692864,5.99999999999996,5.99999999999996,5.00000000000004,5.57068737388994,5.57068737388994,null,null,null,null,null,5.00000000000004,5.00000000000004,5.00000000000004,5.42262937974089,5.42262937974089,5.14823099319094,5.14823099319094,6.89813521890067,6.32752238686777,6.32752238686777,5.52861600143878,5.52861600143878,5.99999999999999,5.99999999999999,6,6,6.98341202974848,6.98341202974848,6,6,6.00000000000004,6.00000000000004,6,6.75979298847516,6.75979298847516,6.24160854252815,6.24160854252815,6.21784313776144,6.21784313776144,6.21784313776144,6,6,null,null,null,null,null,null,6,6,5.54802906341292,5.54802906341292,5.65090273686872,5.65090273686872,5.65090273686872,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.00000000000004,6.00000000000004,9.42466366850324,9.42466366850324,10.9052746640349,10.9052746640349,10.9052746640349,11,11,11,11,11,12,12,12,12.0382570919996,12.0382570919996,13,13,13,13,13,13,13,13,14,14,14,16.1426249223684,16.1426249223684,16.1834715624312,16.1834715624312,16.1834715624312,16.5067042003129,16.5067042003129,16.5067042003129,17,17,17.9332676358689,17.9332676358689,17.9332676358689,17.3316992475255,17.3316992475255,17.3316992475255,17,17,17,18,18,18,18,18,18,18,18,17,17,17,15,15,15,13.6971351005986,13.6971351005986,11,11,11,10,10,10,7.36077095663235,7.36077095663235,7.36077095663235,6.51917827125169,6.51917827125169,6.51917827125169,6,6,6,5.82266720216918,5.82266720216918,5.82266720216918,6,6,6,6,6,6,6,6,5.99999999999998,5.99999999999998,5.99999999999998,5.99999999999998,5.99999999999998,5.99999999999998,5.6897885135975,5.6897885135975,5.6897885135975,5.00000000000001,5.00000000000001,5.00000000000001,5.01203189590652,5.01203189590652,5.14273793936967,5.14273793936967,5.14273793936967,5.99999999999997,5.99999999999997,5.99999999999997,5.53201923462426,5.53201923462426,5.53201923462426,5.64016747071252,5.64016747071252,5.64016747071252,5.99999999999997,5.99999999999997,5.99999999999997,5.99999999999996,5.99999999999996,5,5,5,5.41219368573632,5.41219368573632,5.41219368573632,6,6,6,6,6,6,6.89883377299927,6.89883377299927,7,7,7,7.37568129500642,7.37568129500642,7.37568129500642,8,8,8,8.79477103425796,8.79477103425796,8.48096365670647,8.48096365670647,8.48096365670647,9,9,9,9.80344193986653,9.80344193986653,9.99999999999994,9.99999999999994,9.99999999999994,9.99999999999996,9.99999999999996,9.99999999999996,9.99999999999996,9.99999999999996,9.99999999999992,9.99999999999992,9.99999999999992,9.20878523424026,9.20878523424026,6.67008303309461,6.67008303309461,6.67008303309461,5.00000000000004,5.00000000000004,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0.0228963661991861,1,1.48121958162126,1.48121958162126,2.00000000000003,3,3,3,3.00000000000003,3.97751974538465,5,5,5,5.87493359383498,5,5,5.99799513703753,5.99999999999996,5.99999999999996,5.99999999999996,5,5,5.99999999999996,5,5,null,null,null,null,null,6,6,6,5.4226293797409,5.4226293797409,6,6,6,6.3275223868678,6.3275223868678,6,6,5.70503007322886,5.70503007322886,6,6,6.01658797025148,6.01658797025148,6.08520513501021,6.08520513501021,6.99999999999996,6.99999999999996,6,6.75979298847517,6.75979298847517,6.75839145747188,6.75839145747188,6,6,6,6,6,5.00000000000004,5.00000000000004,null,null,null,null,6,6,6.99999999999996,6.99999999999996,6,6,6,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,9,9,9,9,9,11,11,11.9305237603305,11.9305237603305,11.9305237603305,12.4743081938251,12.4743081938251,12.4743081938251,13,13,13,13,13,13,13,13.84610958816,13.84610958816,13.84610958816,14,14,14,13.8573750776316,13.8573750776316,16,16,16,16.5067042003129,16.5067042003129,16.5067042003129,17.2125062783052,17.2125062783052,18,18,18,17.3316992475255,17.3316992475255,17.3316992475255,18,18,18,18.1783339156289,18.1783339156289,18,18,18,18,18,18,17,17,17,15,15,15,12.8485675502993,12.8485675502993,11.0263154371044,11.0263154371044,11.0263154371044,10.1967682601254,10.1967682601254,10.1967682601254,7.36077095663238,7.36077095663238,7.36077095663238,6.00000000000002,6.00000000000002,6.00000000000002,6.00000000000003,6.00000000000003,6.00000000000003,6,6,6,6,6,6,6,6,6,6,6,5.40089795437359,5.40089795437359,5.40089795437359,5.45537649651058,5.45537649651058,5.45537649651058,6,6,6,5.16272331965231,5.16272331965231,5.16272331965231,5.98796810409352,5.98796810409352,5.85726206063032,5.85726206063032,5.85726206063032,5.30245506294889,5.30245506294889,5.30245506294889,5.99999999999998,5.99999999999998,5.99999999999998,5.64016747071252,5.64016747071252,5.64016747071252,5.18014251096194,5.18014251096194,5.18014251096194,5.00788180601886,5.00788180601886,5.00000000000004,5.00000000000004,5.00000000000004,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7.99999999999998,7.99999999999998,7.99999999999998,8,8,8,8,8,8,8,8,8.99999999999997,8.99999999999997,8.99999999999997,9.80344193986649,9.80344193986649,8.43851222614496,8.43851222614496,8.43851222614496,9.00000000000004,9.00000000000004,9,9,9,8,8,8,8.20878523424032,8.20878523424032,7.67008303309458,7.67008303309458,7.67008303309458,6.00000000000001,6.00000000000001,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0.0228963661991861,1,1.48121958162126,1.48121958162126,2.73994663395354,3,3,3,3.63725388306548,4.00000000000005,5,5,5.00000000000004,5.87493359383494,5,5,5.99799513703753,5,5,null,null,null,null,null,null,null,null,null,null,null,5.99999999999995,5.99999999999995,5.99999999999999,5.57737062025911,5.57737062025911,6,6,6,6.99999999999998,6.99999999999998,6,6,6,6,6.00000000000001,6.00000000000001,6.01658797025148,6.01658797025148,7,7,6.1619702732846,6.1619702732846,6.00000000000004,7,7,7,7,6.00000000000005,6.00000000000005,6.00000000000005,6,6,6,6,null,null,null,null,6,6,6,6,5.99999999999995,5.99999999999995,5.99999999999995,5.00000000000005,5.00000000000005,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8.99999999999997,8.99999999999997,9,9,9,11,11,11,11,11,12.4743081938251,12.4743081938251,12.4743081938251,13,13,13,13,13,13,13,13.84610958816,13.84610958816,13.84610958816,14,14,14,14,14,16,16,16,16.5067042003129,16.5067042003129,16.5067042003129,17.2125062783052,17.2125062783052,18,18,18,17.3316992475255,17.3316992475255,17.3316992475255,18,18,18,19,19,18,18,18,18,18,18,16.4678631530612,16.4678631530612,16.4678631530612,15,15,15,12.8485675502993,12.8485675502993,11.0263154371044,11.0263154371044,11.0263154371044,10,10,10,8.00000000000002,8.00000000000002,8.00000000000002,6.51917827125168,6.51917827125168,6.51917827125168,6.6728534999161,6.6728534999161,6.6728534999161,6,6,6,6,6,6,6,6,6,6,6,5.40089795437359,5.40089795437359,5.40089795437359,5.54462350348942,5.54462350348942,5.54462350348942,6,6,6,5.00000000000005,5.00000000000005,5.00000000000005,5.99999999999995,5.99999999999995,5.00000000000004,5.00000000000004,5.00000000000004,5.69754493705111,5.69754493705111,5.69754493705111,5.46798076537576,5.46798076537576,5.46798076537576,5.64016747071253,5.64016747071253,5.64016747071253,5.18014251096194,5.18014251096194,5.18014251096194,6,6,5.99999999999999,5.99999999999999,5.99999999999999,5.00000000000003,5.00000000000003,5.00000000000003,6,6,6,6,6,6,7,7,6.99999999999995,6.99999999999995,6.99999999999995,7.37568129500637,7.37568129500637,7.37568129500637,8,8,8,8,8,7.99999999999997,7.99999999999997,7.99999999999997,8.15072689730248,8.15072689730248,8.15072689730248,9,9,8.56148777385504,8.56148777385504,8.56148777385504,9.99999999999995,9.99999999999995,9.00000000000005,9.00000000000005,9.00000000000005,8.00000000000005,8.00000000000005,8.00000000000005,8.79121476575976,8.79121476575976,8.00000000000003,8.00000000000003,8.00000000000003,6.15211906474311,6.15211906474311,5.00000000000005,5.00000000000005,5.00000000000005,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.01820807130578e-14,0,0,0,0,0,0,0,0,0,0,0.022896366199234,0.999999999999962,1.48121958162124,1.48121958162124,1.99999999999999,3,3,3,3.63725388306545,4.97751974538463,5,5,5.72119658220508,5,5,5,5.99799513703748,5,5,null,null,null,null,null,null,null,null,null,null,null,5,5,5.72118561572871,5.57737062025911,5.57737062025911,6,6,6,6.67247761313219,6.67247761313219,6.00000000000005,6.00000000000005,6,6,6.14334013103525,6.14334013103525,6.01658797025153,6.01658797025153,7,7,6.99999999999996,6.99999999999996,6.78634838135425,6.99999999999999,6.99999999999999,6.99999999999999,6.99999999999999,6.99999999999996,6.99999999999996,6.99999999999996,6,6,6,6,null,null,null,null,6,6,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8.42466366850324,8.42466366850324,9.00000000000004,9.00000000000004,9.00000000000004,11.4073663376872,11.4073663376872,11.0694762396694,11.0694762396694,11.0694762396694,12.474308193825,12.474308193825,12.474308193825,12.0382570919996,12.0382570919996,13,13,13,13.2246794553013,13.2246794553013,14,14,14,14,14,14,13.8573750776315,13.8573750776315,16.8165284375687,16.8165284375687,16.8165284375687,17,17,17,17.2125062783052,17.2125062783052,18.9332676358689,18.9332676358689,18.9332676358689,17.3316992475255,17.3316992475255,17.3316992475255,17.4168983053924,17.4168983053924,17.4168983053924,19,19,18,18,18,18,18,18,16.4678631530612,16.4678631530612,16.4678631530612,14.6626906898257,14.6626906898257,14.6626906898257,12,12,11,11,11,9.99999999999999,9.99999999999999,9.99999999999999,8.36077095663234,8.36077095663234,8.36077095663234,6.00000000000002,6.00000000000002,6.00000000000002,6.6728534999161,6.6728534999161,6.6728534999161,6,6,6,6,6,6,6,6,6,6,6,5.40089795437357,5.40089795437357,5.40089795437357,5.4553764965106,5.4553764965106,5.4553764965106,6,6,6,5.99999999999996,5.99999999999996,5.99999999999996,5.01203189590648,5.01203189590648,5.85726206063035,5.85726206063035,5.85726206063035,5.30245506294887,5.30245506294887,5.30245506294887,5.46798076537578,5.46798076537578,5.46798076537578,6,6,6,5.18014251096198,5.18014251096198,5.18014251096198,6,6,5.79494108638235,5.79494108638235,5.79494108638235,5.58780631426369,5.58780631426369,5.58780631426369,5.99999999999998,5.99999999999998,5.99999999999998,6,6,6,6.99999999999999,6.99999999999999,6,6,6,7,7,7,7.99999999999995,7.99999999999995,7.99999999999995,8,8,7.48096365670649,7.48096365670649,7.48096365670649,8.15072689730247,8.15072689730247,8.15072689730247,8.9999999999999,8.9999999999999,8.43851222614498,8.43851222614498,8.43851222614498,9.00000000000005,9.00000000000005,10,10,10,9.00000000000005,9.00000000000005,9.00000000000005,9.99999999999996,9.99999999999996,8.67008303309458,8.67008303309458,8.67008303309458,7.15211906474315,7.15211906474315,6.00000000000005,6.00000000000005,6.00000000000005,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,0.999999999999949,0,0,0,0,0,0,0,0,0,0,0.977103633800815,0.242282806010313,1,1,1.73994663395358,2.99999999999994,3.00000000000006,3.00000000000006,3.00000000000006,null,null,null,null,5.00000000000005,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,5,5,5.72118561572871,5.57737062025911,5.57737062025911,6,6,6.00000000000005,6,6,7,7,6,6,6.14334013103524,6.14334013103524,6.98341202974846,6.98341202974846,6.91479486498983,6.91479486498983,6.16197027328461,6.16197027328461,6.7863483813542,6.75979298847512,6.75979298847512,6.75839145747187,6.75839145747187,6.21784313776145,6.21784313776145,6.21784313776145,5.99999999999999,5.99999999999999,6,6,null,null,null,null,null,null,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8,8,9.90527466403496,9.90527466403496,9.90527466403496,11,11,11.0694762396694,11.0694762396694,11.0694762396694,11.9486163876501,11.9486163876501,11.9486163876501,12.0382570919996,12.0382570919996,13,13,13,14,14,14.84610958816,14.84610958816,14.84610958816,15,15,15,13.7147501552631,13.7147501552631,15,15,15,17,17,17,17.2125062783052,17.2125062783052,18.9332676358689,18.9332676358689,18.9332676358689,18,18,18,17.4168983053924,17.4168983053924,17.4168983053924,19,19,18,18,18,17.7367234194959,17.7367234194959,17.7367234194959,16.4678631530612,16.4678631530612,16.4678631530612,14,14,14,11.8485675502993,11.8485675502993,10.9999999999999,10.9999999999999,10.9999999999999,9.80323173987455,9.80323173987455,9.80323173987455,8,8,8,6.48082172874832,6.48082172874832,6.48082172874832,6.67285349991606,6.67285349991606,6.67285349991606,6,6,6,6,6,6,6,6,6,6,6,5.00000000000004,5.00000000000004,5.00000000000004,6,6,6,5.99999999999994,5.99999999999994,5.99999999999994,5.16272331965232,5.16272331965232,5.16272331965232,5.01203189590654,5.01203189590654,5.85726206063031,5.85726206063031,5.85726206063031,5.30245506294887,5.30245506294887,5.30245506294887,5.99999999999997,5.99999999999997,5.99999999999997,6,6,6,5.99999999999995,5.99999999999995,5.99999999999995,6,6,5.99999999999995,5.99999999999995,5.99999999999995,5.99999999999998,5.99999999999998,5.99999999999998,5.63007630228807,5.63007630228807,5.63007630228807,6,6,6,6.89883377299927,6.89883377299927,6,6,6,6.99999999999996,6.99999999999996,6.99999999999996,7.09278963099828,7.09278963099828,7.09278963099828,7.99999999999989,7.99999999999989,7.48096365670652,7.48096365670652,7.48096365670652,8,8,8,7.00000000000005,7.00000000000005,9,9,9,10,10,10.0000000000001,10.0000000000001,10.0000000000001,10,10,10,9.20878523424035,9.20878523424035,9,9,9,9,9,7.00000000000006,7.00000000000006,7.00000000000006,7.00000000000001,7.00000000000001,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,0.148706731146761,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1.73994663395358,2,4,4,null,null,null,null,null,5.87493359383499,5.00000000000003,5.00000000000003,5,5,5,null,null,null,null,null,null,null,null,null,null,null,5,5,5.7211856157287,5.57737062025911,5.57737062025911,6,6,6.8981352189007,6.00000000000002,6.00000000000002,7,7,6,6,6,6,6,6,6.91479486498983,6.91479486498983,7,7,6,6.00000000000001,6.00000000000001,6.75839145747188,6.75839145747188,6.21784313776145,6.21784313776145,6.21784313776145,5.83108685594492,5.83108685594492,6,6,null,null,null,null,null,null,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8,8,8.90527466403503,8.90527466403503,8.90527466403503,11,11,11,11,11,11.9486163876501,11.9486163876501,11.9486163876501,12,12,13,13,13,14,14,14.84610958816,14.84610958816,14.84610958816,15,15,15,13.8573750776315,13.8573750776315,15.8165284375687,15.8165284375687,15.8165284375687,17,17,17,17,17,18,18,18,18,18,18,17.4168983053925,17.4168983053925,17.4168983053925,19,19,18.0000000000001,18.0000000000001,18.0000000000001,18,18,18,16.4678631530611,16.4678631530611,16.4678631530611,14,14,14,11.8485675502993,11.8485675502993,10.0263154371044,10.0263154371044,10.0263154371044,9.00000000000005,9.00000000000005,9.00000000000005,7.99999999999996,7.99999999999996,7.99999999999996,7,7,7,6.00000000000006,6.00000000000006,6.00000000000006,6,6,6,6,6,6,6,6,5.99999999999994,5.99999999999994,5.99999999999994,5.59910204562643,5.59910204562643,5.59910204562643,6,6,6,5.00000000000004,5.00000000000004,5.00000000000004,5.16272331965237,5.16272331965237,5.16272331965237,5.99999999999994,5.99999999999994,5.14273793936969,5.14273793936969,5.14273793936969,5.30245506294887,5.30245506294887,5.30245506294887,5.53201923462421,5.53201923462421,5.53201923462421,6,6,6,5.18014251096199,5.18014251096199,5.18014251096199,5.99211819398118,5.99211819398118,5.20505891361771,5.20505891361771,5.20505891361771,5.58780631426369,5.58780631426369,5.58780631426369,5.63007630228809,5.63007630228809,5.63007630228809,6,6,6,6.89883377299921,6.89883377299921,6,6,6,6.37568129500637,6.37568129500637,6.37568129500637,7.00000000000001,7.00000000000001,7.00000000000001,6.20522896574207,6.20522896574207,7.99999999999997,7.99999999999997,7.99999999999997,7.99999999999993,7.99999999999993,7.99999999999993,7.80344193986648,7.80344193986648,9,9,9,10,10,10.9999999999999,10.9999999999999,10.9999999999999,10.7677690336861,10.7677690336861,10.7677690336861,10,10,9,9,9,9,9,8.00000000000004,8.00000000000004,8.00000000000004,7.18011330996001,7.18011330996001,6.00000000000004,6.00000000000004,6.00000000000004,6,6,6,6,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1.00000000000001,1.00000000000001,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1.73994663395358,2.03740600449767,4,4,null,null,null,null,null,null,5.44940812546679,5.44940812546679,5,5,5,null,5,5,4.99999999999999,null,null,null,null,null,null,null,4.99999999999999,4.99999999999999,5.7211856157287,5.57737062025912,5.57737062025912,6,6,6.89813521890071,6.32752238686777,6.32752238686777,7.00000000000001,7.00000000000001,6,6,6,6,6,6,6.91479486498983,6.91479486498983,7.00000000000001,7.00000000000001,6,6.24020701152483,6.24020701152483,7,7,6.21784313776145,6.21784313776145,6.21784313776145,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8,8,9.00000000000001,9.00000000000001,9.00000000000001,10.4073663376872,10.4073663376872,11,11,11,12,12,12,12,12,12.6218841573329,12.6218841573329,12.6218841573329,14,14,15,15,15,15,15,15,13,13,13.8165284375689,13.8165284375689,13.8165284375689,17.5067042003129,17.5067042003129,17.5067042003129,17,17,18,18,18,18,18,18,18.4168983053924,18.4168983053924,18.4168983053924,19,19,18.951862955957,18.951862955957,18.951862955957,18,18,18,15.4678631530612,15.4678631530612,15.4678631530612,14,14,14,11.8485675502993,11.8485675502993,10.0263154371044,10.0263154371044,10.0263154371044,9.80323173987461,9.80323173987461,9.80323173987461,7.36077095663235,7.36077095663235,7.36077095663235,7,7,7,7,7,7,6,6,6,6,6,6,6,6,4.99999999999999,4.99999999999999,4.99999999999999,6.00000000000001,6.00000000000001,6.00000000000001,6,6,6,5.68978851359748,5.68978851359748,5.68978851359748,6,6,6,5,5,5.85726206063036,5.85726206063036,5.85726206063036,5.30245506294887,5.30245506294887,5.30245506294887,5,5,5,6.00000000000001,6.00000000000001,6.00000000000001,6.00000000000001,6.00000000000001,6.00000000000001,5.99211819398119,5.99211819398119,6.00000000000001,6.00000000000001,6.00000000000001,6,6,6,6,6,6,5.99999999999999,5.99999999999999,5.99999999999999,6,6,5.99999999999999,5.99999999999999,5.99999999999999,6,6,6,7.09278963099828,7.09278963099828,7.09278963099828,7.20522896574201,7.20522896574201,7.4809636567065,7.4809636567065,7.4809636567065,6.84927310269752,6.84927310269752,6.84927310269752,6.99999999999999,6.99999999999999,9.00000000000001,9.00000000000001,9.00000000000001,10,10,10,10,10,10,10,10,10,10,9.00000000000001,9.00000000000001,9.00000000000001,9,9,8.65532615028533,8.65532615028533,8.65532615028533,7.18011330996,7.18011330996,6.72686582868486,6.72686582868486,6.72686582868486,5.99999999999999,5.99999999999999,5.99999999999999,5.99999999999999,4.99999999999999,4.99999999999999,4.99999999999999,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,1.00000000000001,1,1,1,1.73994663395358,2,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,6.00000000000001,null,null,null,null,null,null,null,6,6,6,4.99999999999999,4.99999999999999,6,6,6,6.32752238686777,6.32752238686777,6,6,6,6,6,6,6,6,6.91479486498983,6.91479486498983,6.16197027328455,6.16197027328455,5.99999999999999,6.24020701152483,6.24020701152483,7,7,6.21784313776145,6.21784313776145,6.21784313776145,6.00000000000001,6.00000000000001,6.00000000000001,6.00000000000001,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8,8,7.99999999999999,7.99999999999999,7.99999999999999,9.40736633768721,9.40736633768721,10.9305237603306,10.9305237603306,10.9305237603306,12,12,12,12.0382570919996,12.0382570919996,12,12,12,14,14,15,15,15,14.5143820702886,14.5143820702886,14.5143820702886,12,12,12.1834715624312,12.1834715624312,12.1834715624312,16.5067042003129,16.5067042003129,16.5067042003129,17,17,18,18,18,18,18,18,18.4168983053924,18.4168983053924,18.4168983053924,19,19,18.951862955957,18.951862955957,18.951862955957,18,18,18,15.4678631530612,15.4678631530612,15.4678631530612,13.6626906898258,13.6626906898258,13.6626906898258,11,11,10.0263154371044,10.0263154371044,10.0263154371044,9,9,9,8,8,8,7,7,7,6.67285349991609,6.67285349991609,6.67285349991609,5.99999999999999,5.99999999999999,5.99999999999999,6,6,6.00000000000001,6.00000000000001,6.00000000000001,6.00000000000001,6.00000000000001,6.00000000000001,5.40089795437359,5.40089795437359,5.40089795437359,6,6,6,6.00000000000001,6.00000000000001,6.00000000000001,6,6,6,5.01203189590649,5.01203189590649,5.14273793936965,5.14273793936965,5.14273793936965,5.30245506294887,5.30245506294887,5.30245506294887,4.99999999999999,4.99999999999999,4.99999999999999,4.99999999999999,4.99999999999999,4.99999999999999,5.18014251096193,5.18014251096193,5.18014251096193,5.00788180601881,5.00788180601881,5,5,5,6,6,6,6,6,6,6.85948122488563,6.85948122488563,6.85948122488563,5.99999999999999,5.99999999999999,7,7,7,5.99999999999999,5.99999999999999,5.99999999999999,7.90721036900172,7.90721036900172,7.90721036900172,7,7,7,7,7,6.84927310269752,6.84927310269752,6.84927310269752,7.80344193986653,7.80344193986653,8,8,8,9,9,10,10,10,10,10,10,10,10,8.32991696690543,8.32991696690543,8.32991696690543,9,9,8.65532615028533,8.65532615028533,8.65532615028533,8,8,7,7,7,6.99999999999999,6.99999999999999,6.88769015191359,6.88769015191359,5.99999999999999,5.99999999999999,5.99999999999999,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.5,0,0,0,0,0,0,0,0,0,0,0,0,0.0228963661991861,1,1,1,1.73994663395358,2,null,null,null,null,null,null,null,null,null,null,5,null,null,null,null,null,5,null,null,null,null,null,null,null,6,6,6,5.57737062025911,5.57737062025911,6,6,6,6.32752238686778,6.32752238686778,6,6,6,6,6,6,6,6,6.91479486498983,6.91479486498983,6.83802972671544,6.83802972671544,6.78634838135425,6.75979298847516,6.75979298847516,7,7,6.21784313776145,6.21784313776145,6.21784313776145,5.16891314405509,5.16891314405509,5.09483691237124,5.09483691237124,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8,8,8.90527466403502,8.90527466403502,8.90527466403502,10,10,10,10,10,12,12,12,12.0382570919996,12.0382570919996,12.3781158426671,12.3781158426671,12.3781158426671,14,14,14,14,14,14.5143820702886,14.5143820702886,14.5143820702886,12.1426249223684,12.1426249223684,13,13,13,16.5067042003129,16.5067042003129,16.5067042003129,17,17,18,18,18,18.6683007524745,18.6683007524745,18.6683007524745,18.4168983053924,18.4168983053924,18.4168983053924,19,19,18.951862955957,18.951862955957,18.951862955957,18,18,18,15.4678631530612,15.4678631530612,15.4678631530612,13.6626906898258,13.6626906898258,13.6626906898258,11,11,10.0263154371044,10.0263154371044,10.0263154371044,9.1967682601254,9.1967682601254,9.1967682601254,8,8,8,7,7,7,7,7,7,7,7,7,6,6,5.11422067291187,5.11422067291187,5.11422067291187,5.25772593937796,5.25772593937796,5.25772593937796,5.4008979543736,5.4008979543736,5.4008979543736,5.54462350348942,5.54462350348942,5.54462350348942,5,5,5,6,6,6,5.01203189590649,5.01203189590649,5.14273793936965,5.14273793936965,5.14273793936965,5.30245506294887,5.30245506294887,5.30245506294887,6,6,6,6,6,6,5.81985748903806,5.81985748903806,5.81985748903806,6,6,5,5,5,6,6,6,6,6,6,6,6,6,6.89883377299927,6.89883377299927,7,7,7,6.62431870499361,6.62431870499361,6.62431870499361,7,7,7,7,7,7,7,7,7,7,7,7.80344193986653,7.80344193986653,8,8,8,9,9,10,10,10,10,10,10,10,10,9,9,9,9,9,8.65532615028533,8.65532615028533,8.65532615028533,8,8,7,7,7,7.70405462772165,7.70405462772165,7,7,6.5024151342506,6.5024151342506,6.5024151342506,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,0.172472927568854,0,0,0,0,0,0,0,0,0,0,0,0,0.0228963661991861,1,1.48121958162126,1.48121958162126,2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6,6,6,6,6,6.67247761313222,6.67247761313222,7,7,6.70503007322885,6.70503007322885,6,6,6,6,6,6,7,7,7,7,7,7.75839145747187,7.75839145747187,7.21784313776145,7.21784313776145,7.21784313776145,5.16891314405509,5.16891314405509,5.09483691237124,5.09483691237124,6,6,5,5,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,9,9,9,10,10,10,10,10,11.4743081938251,11.4743081938251,11.4743081938251,12,12,12,12,12,13,13,13,13,13,12,12,12,14,14,14,14,14,16,16,16,17.2125062783052,17.2125062783052,17.9332676358689,17.9332676358689,17.9332676358689,18,18,18,18.4168983053924,18.4168983053924,18.4168983053924,19,19,18.951862955957,18.951862955957,18.951862955957,18,18,18,15.4678631530612,15.4678631530612,15.4678631530612,13.6626906898258,13.6626906898258,13.6626906898258,11.8485675502993,11.8485675502993,11,11,11,9.1967682601254,9.1967682601254,9.1967682601254,8,8,8,7.51917827125171,7.51917827125171,7.51917827125171,6.6728534999161,6.6728534999161,6.6728534999161,7,7,7,6,6,6,6,6,5,5,5,6,6,6,5,5,5,5,5,5,5,5,5,5.98796810409351,5.98796810409351,6,6,6,5.69754493705113,5.69754493705113,5.69754493705113,5.53201923462424,5.53201923462424,5.53201923462424,5,5,5,6,6,6,6,6,6,6,6,5.41219368573633,5.41219368573633,5.41219368573633,6,6,6,6.14051877511438,6.14051877511438,6.14051877511438,7,7,7,7,7,7,7,7,7,7,7,7,7,6.48096365670649,6.48096365670649,6.48096365670649,7.84927310269752,7.84927310269752,7.84927310269752,7,7,8,8,8,8,8,9,9,9,10,10,10,9,9,9.32991696690543,9.32991696690543,9.32991696690543,9.15211906474306,9.15211906474306,8.65532615028533,8.65532615028533,8.65532615028533,8,8,7.72686582868486,7.72686582868486,7.72686582868486,7.70405462772165,7.70405462772165,7.11230984808641,7.11230984808641,6.5024151342506,6.5024151342506,6.5024151342506,5.14041229461406,5.14041229461406,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0228963661991861,1,1.48121958162126,1.48121958162126,2.00000000000007,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.0437462476404,5.0437462476404,5.27881438427127,5.99999999999995,5.99999999999995,5.14823099319091,5.14823099319091,6,6.67247761313216,6.67247761313216,7,7,6,6,5.85665986896476,5.85665986896476,5.01658797025157,5.01658797025157,6,6,7,7,7,6.24020701152488,6.24020701152488,7.75839145747187,7.75839145747187,7.21784313776145,7.21784313776145,7.21784313776145,6.00000000000001,6.00000000000001,5.09483691237132,5.09483691237132,5.0043506224354,5.0043506224354,5.00000000000009,5.00000000000009,6,6,5.99999999999995,5.99999999999995,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,7.00000000000013,7.00000000000013,9.00000000000009,9.00000000000009,9.00000000000009,10,10,10,10,10,11.474308193825,11.474308193825,11.474308193825,11.9999999999999,11.9999999999999,12,12,12,13,13,13.15389041184,13.15389041184,13.15389041184,13,13,13,14,14,14,14,14,16,16,16,17.2125062783052,17.2125062783052,18,18,18,18.6683007524745,18.6683007524745,18.6683007524745,18.4168983053924,18.4168983053924,18.4168983053924,19,19,18.9518629559569,18.9518629559569,18.9518629559569,18.263276580504,18.263276580504,18.263276580504,15.4678631530612,15.4678631530612,15.4678631530612,13.6626906898258,13.6626906898258,13.6626906898258,11.8485675502994,11.8485675502994,10.9999999999999,10.9999999999999,10.9999999999999,9.19676826012538,9.19676826012538,9.19676826012538,8,8,8,7.00000000000005,7.00000000000005,7.00000000000005,6.67285349991613,6.67285349991613,6.67285349991613,6.8226672021691,6.8226672021691,6.8226672021691,6,6,5.88577932708814,5.88577932708814,5.88577932708814,5,5,5,6,6,6,5.00000000000005,5.00000000000005,5.00000000000005,5,5,5,5.00000000000002,5.00000000000002,5.00000000000002,5.98796810409343,5.98796810409343,5.99999999999991,5.99999999999991,5.99999999999991,5.30245506294891,5.30245506294891,5.30245506294891,5.53201923462424,5.53201923462424,5.53201923462424,5.00000000000003,5.00000000000003,5.00000000000003,5.00000000000009,5.00000000000009,5.00000000000009,5.00788180601891,5.00788180601891,6,6,6,6,6,6,6,6,6,6.00000000000001,6.00000000000001,6.00000000000001,7,7,7,7,7,6.62431870499364,6.62431870499364,6.62431870499364,6.90721036900171,6.90721036900171,6.90721036900171,6.99999999999991,6.99999999999991,6.48096365670645,6.48096365670645,6.48096365670645,7.15072689730254,7.15072689730254,7.15072689730254,7.00000000000009,7.00000000000009,7.99999999999995,7.99999999999995,7.99999999999995,8.05536386436041,8.05536386436041,8.99999999999997,8.99999999999997,8.99999999999997,9,9,9,9,9,9,9,9,9,9,8.65532615028537,8.65532615028537,8.65532615028537,8,8,7.27313417131518,7.27313417131518,7.27313417131518,8.40810925544332,8.40810925544332,7.88769015191359,7.88769015191359,7,7,7,6.00000000000001,6.00000000000001,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,0,0,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0228963661992842,1,1.48121958162126,1.48121958162126,2.7399466339535,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5.42262937974089,5.42262937974089,5.14823099319099,5.14823099319099,6,6,6,6.99999999999995,6.99999999999995,6.00000000000007,6.00000000000007,5.9999999999999,5.9999999999999,6,6,6,6,7,7,6.9999999999999,6.75979298847516,6.75979298847516,7.75839145747187,7.75839145747187,7.21784313776143,7.21784313776143,7.21784313776143,6.16891314405507,6.16891314405507,5.99999999999999,5.99999999999999,5.0043506224355,5.0043506224355,5.99999999999991,5.99999999999991,5.99999999999997,5.99999999999997,5.45197093658714,5.45197093658714,5.0000000000001,5.0000000000001,5.0000000000001,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.00000000000011,6.00000000000011,6.00000000000011,7.0000000000001,7.0000000000001,8.42466366850331,8.42466366850331,10,10,10,10,10,10,10,10,11,11,11,11,11,11.6218841573329,11.6218841573329,11.6218841573329,13,13,13,13,13,13.4856179297113,13.4856179297113,13.4856179297113,14,14,14,14,14,16,16,16,17,17,17.9332676358688,17.9332676358688,17.9332676358688,18.6683007524745,18.6683007524745,18.6683007524745,18.4168983053925,18.4168983053925,18.4168983053925,19,19,18.0481370440431,18.0481370440431,18.0481370440431,18.0000000000001,18.0000000000001,18.0000000000001,16,16,16,13.6626906898258,13.6626906898258,13.6626906898258,12.6971351005987,12.6971351005987,10.0263154371044,10.0263154371044,10.0263154371044,8.99999999999992,8.99999999999992,8.99999999999992,8,8,8,7.5191782712517,7.5191782712517,7.5191782712517,7,7,7,6,6,6,6,6,5.99999999999991,5.99999999999991,5.99999999999991,5,5,5,6,6,6,5.54462350348942,5.54462350348942,5.54462350348942,5,5,5,5.16272331965232,5.16272331965232,5.16272331965232,5.01203189590658,5.01203189590658,5.00000000000001,5.00000000000001,5.00000000000001,5.69754493705116,5.69754493705116,5.69754493705116,5.53201923462424,5.53201923462424,5.53201923462424,5.35983252928745,5.35983252928745,5.35983252928745,6,6,6,6,6,5.9999999999999,5.9999999999999,5.9999999999999,6,6,6,6,6,6,6.14051877511436,6.14051877511436,6.14051877511436,7,7,7,7,7,7,7,7,6.90721036900171,6.90721036900171,6.90721036900171,6,6,6.00000000000005,6.00000000000005,6.00000000000005,7.84927310269752,7.84927310269752,7.84927310269752,7.99999999999998,7.99999999999998,7.43851222614505,7.43851222614505,7.43851222614505,8,8,8.65344597380389,8.65344597380389,8.65344597380389,9,9,9,9,9,9,9,9,9,9,8.99999999999993,8.99999999999993,8.99999999999993,8,8,7.72686582868486,7.72686582868486,7.72686582868486,8.70405462772158,8.70405462772158,7.88769015191359,7.88769015191359,7,7,7,6.14041229461405,6.14041229461405,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,0,0,0,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,1.28829762303852e-14,2.00728322852231e-14,1,1.00000000000002,1.48121958162127,1.48121958162127,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5.4226293797409,5.4226293797409,5.99999999999998,5.99999999999998,6,6,6,6.47138399856123,6.47138399856123,6.70503007322884,6.70503007322884,5.00000000000002,5.00000000000002,6,6,6,6,7,7,6.00000000000002,6.75979298847515,6.75979298847515,7.75839145747185,7.75839145747185,6.99999999999998,6.99999999999998,6.99999999999998,6,6,5.90516308762877,5.90516308762877,6.00000000000002,6.00000000000002,5.12859736744321,5.12859736744321,5.72216649487637,5.72216649487637,5.45197093658713,5.45197093658713,5.99999999999999,5.99999999999999,5.99999999999999,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.05884950007055,7.05884950007055,7.05884950007055,8,8,9,9,10,10,10,10,10,10,10,10,11,11,11,11,11,11.6218841573329,11.6218841573329,11.6218841573329,13,13,13,13,13,13,13,13,14,14,14,14,14,15.5067042003129,15.5067042003129,15.5067042003129,17,17,17,17,17,18.6683007524745,18.6683007524745,18.6683007524745,19,19,19,19,19,19,19,19,18.7367234194959,18.7367234194959,18.7367234194959,16,16,16,14,14,14,12.6971351005987,12.6971351005987,10.0263154371044,10.0263154371044,10.0263154371044,8.1967682601254,8.1967682601254,8.1967682601254,8,8,8,7.48082172874829,7.48082172874829,7.48082172874829,7,7,7,6,6,6,5.99999999999998,5.99999999999998,5.11422067291187,5.11422067291187,5.11422067291187,5,5,5,6,6,6,5.54462350348942,5.54462350348942,5.54462350348942,5,5,5,5.16272331965232,5.16272331965232,5.16272331965232,6,6,5.14273793936964,5.14273793936964,5.14273793936964,5.99999999999998,5.99999999999998,5.99999999999998,5.53201923462424,5.53201923462424,5.53201923462424,5.00000000000002,5.00000000000002,5.00000000000002,6,6,6,5.99211819398116,5.99211819398116,5.00000000000002,5.00000000000002,5.00000000000002,5.99999999999999,5.99999999999999,5.99999999999999,6,6,6,6.00000000000002,6.00000000000002,6.00000000000002,6.99999999999998,6.99999999999998,7,7,7,7,7,7,6.90721036900171,6.90721036900171,6.90721036900171,6.00000000000002,6.00000000000002,6.48096365670651,6.48096365670651,6.48096365670651,7.84927310269752,7.84927310269752,7.84927310269752,7.80344193986653,7.80344193986653,8.43851222614495,8.43851222614495,8.43851222614495,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,8.34467384971467,8.34467384971467,8.34467384971467,8.00000000000002,8.00000000000002,7.72686582868487,7.72686582868487,7.72686582868487,7.99999999999999,7.99999999999999,7.88769015191359,7.88769015191359,7,7,7,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0.641811581311782,1,1.02289636619919,2,2,2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.49999999999999,5.49999999999999,null,null,null,5,5,5,6,6,5.14823099319091,5.14823099319091,6,6,6,6,6,6,6,5.99999999999997,5.99999999999997,6.01658797025148,6.01658797025148,6.0852051350102,6.0852051350102,6.99999999999997,6.99999999999997,7,6.24020701152483,6.24020701152483,7,7,6.21784313776147,6.21784313776147,6.21784313776147,6.00000000000001,6.00000000000001,6,6,6.99564937756457,6.99564937756457,5.12859736744321,5.12859736744321,5.72216649487635,5.72216649487635,5,5,5.65090273686872,5.65090273686872,5.65090273686872,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.99999999999997,6.99999999999997,7.52942475003527,7.52942475003527,7.52942475003527,8.03407547620636,8.03407547620636,9,9,10,10,10,10.4073663376872,10.4073663376872,11,11,11,11.4743081938251,11.4743081938251,11.4743081938251,11.9617429080004,11.9617429080004,11.6218841573329,11.6218841573329,11.6218841573329,12.2246794553012,12.2246794553012,12.15389041184,12.15389041184,12.15389041184,14,14,14,14,14,14,14,14,15.5067042003129,15.5067042003129,15.5067042003129,17,17,17.9332676358689,17.9332676358689,17.9332676358689,18.6683007524745,18.6683007524745,18.6683007524745,19,19,19,19,19,19,19,19,18,18,18,16.4678631530612,16.4678631530612,16.4678631530612,14.6626906898258,14.6626906898258,14.6626906898258,12,12,11,11,11,8.19676826012539,8.19676826012539,8.19676826012539,7.99999999999998,7.99999999999998,7.99999999999998,7.51917827125171,7.51917827125171,7.51917827125171,6.99999999999999,6.99999999999999,6.99999999999999,5.99999999999997,5.99999999999997,5.99999999999997,5.03050411358184,5.03050411358184,5,5,5,5.25772593937798,5.25772593937798,5.25772593937798,6,6,6,5.54462350348942,5.54462350348942,5.54462350348942,5.00000000000001,5.00000000000001,5.00000000000001,5.16272331965232,5.16272331965232,5.16272331965232,5.98796810409352,5.98796810409352,5,5,5,5,5,5,5.46798076537576,5.46798076537576,5.46798076537576,6,6,6,6,6,6,5.00788180601882,5.00788180601882,6,6,6,5.41219368573635,5.41219368573635,5.41219368573635,6.00000000000001,6.00000000000001,6.00000000000001,7,7,7,6.00000000000003,6.00000000000003,6.99999999999998,6.99999999999998,6.99999999999998,7,7,7,7,7,7,7,7,7.48096365670648,7.48096365670648,7.48096365670648,7.84927310269752,7.84927310269752,7.84927310269752,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,8.65532615028533,8.65532615028533,8.65532615028533,8.99999999999999,8.99999999999999,8,8,8,7.70405462772163,7.70405462772163,8,8,7.00483026850119,7.00483026850119,7.00483026850119,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0.641811581311782,1,1.02289636619922,2.00000000000003,2.00000000000003,2.00000000000003,null,null,3,3,3.00000000000002,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5.15380012359838,5.15380012359838,5.99999999999997,5,5,5,5,5,6,6,5.14823099319091,5.14823099319091,6,6,6,6,6,6,6,5.14334013103527,5.14334013103527,6.01658797025148,6.01658797025148,7,7,6.16197027328458,6.16197027328458,7,6,6,7,7,6.78215686223856,6.78215686223856,6.78215686223856,6.16891314405508,6.16891314405508,6,6,6,6,5.12859736744324,5.12859736744324,5.00000000000003,5.00000000000003,5.00000000000003,5.00000000000003,5.99999999999998,5.99999999999998,5.99999999999998,5.00000000000003,5.00000000000003,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.00000000000003,6.00000000000003,7.52942475003527,7.52942475003527,7.52942475003527,8.03407547620636,8.03407547620636,9,9,10,10,10,10.4073663376872,10.4073663376872,11,11,11,12,12,12,12,12,12,12,12,12,12,12,12,12,14,14,14,15,15,14,14,14,15.5067042003129,15.5067042003129,15.5067042003129,17,17,17.9332676358689,17.9332676358689,17.9332676358689,18.6683007524745,18.6683007524745,18.6683007524745,19,19,19,19,19,18.9518629559569,18.9518629559569,18.9518629559569,18,18,18,16.4678631530612,16.4678631530612,16.4678631530612,15,15,15,12.8485675502994,12.8485675502994,10.0526308742088,10.0526308742088,10.0526308742088,8.00000000000003,8.00000000000003,8.00000000000003,7.36077095663236,7.36077095663236,7.36077095663236,7.51917827125171,7.51917827125171,7.51917827125171,6.6728534999161,6.6728534999161,6.6728534999161,5,5,5,5.03050411358184,5.03050411358184,5,5,5,5.99999999999997,5.99999999999997,5.99999999999997,6,6,6,5.54462350348942,5.54462350348942,5.54462350348942,5.31021148640252,5.31021148640252,5.31021148640252,5.16272331965232,5.16272331965232,5.16272331965232,6,6,5,5,5,5.00000000000003,5.00000000000003,5.00000000000003,5.46798076537576,5.46798076537576,5.46798076537576,6,6,6,6,6,6,5.00788180601882,5.00788180601882,5.99999999999998,5.99999999999998,5.99999999999998,6,6,6,6.36992369771192,6.36992369771192,6.36992369771192,6.99999999999997,6.99999999999997,6.99999999999997,6.89883377299927,6.89883377299927,6.35587148110992,6.35587148110992,6.35587148110992,7,7,7,7,7,7,7,7,7.00000000000003,7.00000000000003,7.00000000000003,7.84927310269752,7.84927310269752,7.84927310269752,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,8.99999999999997,8.99999999999997,8.99999999999997,9,9,8.65532615028533,8.65532615028533,8.65532615028533,8.81988669003999,8.81988669003999,7.99999999999998,7.99999999999998,7.99999999999998,7.00000000000001,7.00000000000001,7.88769015191356,7.88769015191356,7.00483026850121,7.00483026850121,7.00483026850121,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0.641811581311782,1,2,null,3,3,null,null,3,3,3.63725388306546,4,4,4,4,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5.00000000000003,5,5,5,5,5,6,6,5.14823099319093,5.14823099319093,6,6,6,6,6,6.00000000000001,6.00000000000001,5.85665986896475,5.85665986896475,6.01658797025148,6.01658797025148,7,7,7.00000000000001,7.00000000000001,7,6,6,6.99999999999996,6.99999999999996,6.99999999999996,6.99999999999996,6.99999999999996,6,6,5.90516308762881,5.90516308762881,6,6,6,6,6,6,6,6,5.34909726313129,5.34909726313129,5.34909726313129,5.99999999999999,5.99999999999999,6,6,null,null,null,null,null,null,null,null,null,null,null,null,7,7,7.52942475003525,7.52942475003525,7.52942475003525,8.03407547620639,8.03407547620639,9,9,9.90527466403498,9.90527466403498,9.90527466403498,10.4073663376872,10.4073663376872,11,11,11,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14.1426249223685,14.1426249223685,14.8165284375688,14.8165284375688,14.8165284375688,15.5067042003129,15.5067042003129,15.5067042003129,17.2125062783052,17.2125062783052,18,18,18,18.6683007524745,18.6683007524745,18.6683007524745,19,19,19,18.821666084371,18.821666084371,18.048137044043,18.048137044043,18.048137044043,18,18,18,16.4678631530612,16.4678631530612,16.4678631530612,15.6626906898258,15.6626906898258,15.6626906898258,13.6971351005986,13.6971351005986,10.0526308742088,10.0526308742088,10.0526308742088,9,9,9,7.36077095663234,7.36077095663234,7.36077095663234,7.51917827125169,7.51917827125169,7.51917827125169,6.67285349991607,6.67285349991607,6.67285349991607,5.00000000000001,5.00000000000001,5.00000000000001,5,5,5.11422067291187,5.11422067291187,5.11422067291187,5,5,5,6,6,6,5.54462350348944,5.54462350348944,5.54462350348944,5.31021148640254,5.31021148640254,5.31021148640254,5.16272331965232,5.16272331965232,5.16272331965232,5.99999999999996,5.99999999999996,5.14273793936965,5.14273793936965,5.14273793936965,5.99999999999997,5.99999999999997,5.99999999999997,5.46798076537576,5.46798076537576,5.46798076537576,6,6,6,6,6,6,5.00788180601886,5.00788180601886,5.20505891361768,5.20505891361768,5.20505891361768,6,6,6,6,6,6,6.14051877511437,6.14051877511437,6.14051877511437,6.99999999999996,6.99999999999996,6.00000000000004,6.00000000000004,6.00000000000004,6.99999999999998,6.99999999999998,6.99999999999998,7,7,7,7.00000000000001,7.00000000000001,8,8,8,7.84927310269753,7.84927310269753,7.84927310269753,8.00000000000001,8.00000000000001,8.00000000000002,8.00000000000002,8.00000000000002,8,8,8,8,8,8.99999999999999,8.99999999999999,8.99999999999999,9,9,8,8,8,8.99999999999997,8.99999999999997,8.65532615028531,8.65532615028531,8.65532615028531,8.81988669003996,8.81988669003996,7.27313417131514,7.27313417131514,7.27313417131514,7.29594537227837,7.29594537227837,7.00000000000007,7.00000000000007,7.50241513425055,7.50241513425055,7.50241513425055,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0.641811581311782,1,null,null,null,null,null,3,3,3,3,3.97751974538461,4,4,4,4,null,null,null,null,null,null,null,null,5,5,5,5,5,5.76022644416091,5,5,5,5,5,6,6,5.8517690068091,5.8517690068091,5.89813521890071,6,6,6,6,6.29496992677115,6.29496992677115,5.99999999999996,5.99999999999996,6,6,6.91479486498983,6.91479486498983,7.16197027328456,7.16197027328456,6.99999999999996,6.00000000000003,6.00000000000003,6.00000000000001,6.00000000000001,6,6,6,6,6,6.99999999999996,6.99999999999996,6,6,6,6,6,6,6,6,5.34909726313132,5.34909726313132,5.34909726313132,5.87450262459994,5.87450262459994,5.8773755514953,5.8773755514953,6,6,null,null,null,null,null,null,null,null,null,null,6.99999999999996,6.99999999999996,7,7,7,8.96592452379364,8.96592452379364,9,9,9,9,9,10.4073663376872,10.4073663376872,11,11,11,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,15,15,14.8165284375689,14.8165284375689,14.8165284375689,16,16,16,17,17,17.9332676358689,17.9332676358689,17.9332676358689,18,18,18,18,18,18,17.1783339156289,17.1783339156289,18,18,18,18,18,18,16.5321368469388,16.5321368469388,16.5321368469388,15,15,15,13,13,11.0526308742088,11.0526308742088,11.0526308742088,9,9,9,7,7,7,7,7,7,6,6,6,5.17733279783086,5.17733279783086,5.17733279783086,5.03050411358184,5.03050411358184,5,5,5,5,5,5,5.99999999999998,5.99999999999998,5.99999999999998,5.99999999999998,5.99999999999998,5.99999999999998,6,6,6,5.16272331965232,5.16272331965232,5.16272331965232,5.00000000000004,5.00000000000004,5.14273793936968,5.14273793936968,5.14273793936968,5.30245506294886,5.30245506294886,5.30245506294886,5.53201923462424,5.53201923462424,5.53201923462424,5.99999999999999,5.99999999999999,5.99999999999999,6,6,6,6,6,5.79494108638231,5.79494108638231,5.79494108638231,6,6,6,6,6,6,6.00000000000004,6.00000000000004,6.00000000000004,6.00000000000004,6.00000000000004,7,7,7,6.62431870499361,6.62431870499361,6.62431870499361,7,7,7,7.205228965742,7.205228965742,8,8,8,8,8,8,8.19655806013351,8.19655806013351,8.56148777385506,8.56148777385506,8.56148777385506,8,8,8,8,8,8.76776903368614,8.76776903368614,8.76776903368614,8.99999999999996,8.99999999999996,8,8,8,8.15211906474306,8.15211906474306,8,8,8,8,8,7.27313417131515,7.27313417131515,7.27313417131515,7.70405462772165,7.70405462772165,8.88769015191359,8.88769015191359,6.50241513425059,6.50241513425059,6.50241513425059,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,0,0,0,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0.641811581311782,1,null,null,null,null,null,2.99999999999995,3,3,3,3,3.99999999999997,3.99999999999997,4,4.49999999999998,null,null,null,null,null,5,null,null,5,5.00000000000002,5.00000000000002,5,5,5,5.00000000000003,5.00000000000003,5.00000000000005,5.00000000000005,5.00000000000001,5.99999999999997,5.99999999999997,6,6,6,6,6,6,6,6.29496992677119,6.29496992677119,5.00000000000004,5.00000000000004,6.01658797025143,6.01658797025143,7,7,7.16197027328455,7.16197027328455,5.99999999999996,6.75979298847512,6.75979298847512,6.24160854252804,6.24160854252804,5.99999999999999,5.99999999999999,5.99999999999999,6.00000000000005,6.00000000000005,6,6,5.99999999999995,5.99999999999995,5.99999999999996,5.99999999999996,5.99999999999996,5.99999999999996,5.99999999999995,5.99999999999995,6,6,6,5.87450262459989,5.87450262459989,5.8773755514953,5.8773755514953,6,6,null,null,null,null,null,null,null,null,null,null,6.00000000000005,6.00000000000005,7.00000000000002,7.00000000000002,7.00000000000002,8.96592452379364,8.96592452379364,9,9,9.00000000000005,9.00000000000005,9.00000000000005,10,10,10.9999999999999,10.9999999999999,10.9999999999999,11,11,11,12,12,12,12,12,12,12,12.84610958816,12.84610958816,12.84610958816,14,14,14,15,15,15.8165284375688,15.8165284375688,15.8165284375688,15.4932957996872,15.4932957996872,15.4932957996872,16.2125062783052,16.2125062783052,17,17,17,17.6683007524744,17.6683007524744,17.6683007524744,17.5831016946075,17.5831016946075,17.5831016946075,17,17,18,18,18,18,18,18,16.4678631530612,16.4678631530612,16.4678631530612,15.3373093101743,15.3373093101743,15.3373093101743,13.8485675502993,13.8485675502993,11.0263154371044,11.0263154371044,11.0263154371044,9,9,9,7.00000000000007,7.00000000000007,7.00000000000007,7,7,7,6,6,6,6,6,6,5.03050411358184,5.03050411358184,5,5,5,5.00000000000005,5.00000000000005,5.00000000000005,5.5991020456264,5.5991020456264,5.5991020456264,5.5446235034894,5.5446235034894,5.5446235034894,5.99999999999998,5.99999999999998,5.99999999999998,5.16272331965235,5.16272331965235,5.16272331965235,5.98796810409346,5.98796810409346,5.99999999999995,5.99999999999995,5.99999999999995,5.00000000000002,5.00000000000002,5.00000000000002,5.53201923462427,5.53201923462427,5.53201923462427,5.64016747071248,5.64016747071248,5.64016747071248,6,6,6,6,6,5.00000000000005,5.00000000000005,5.00000000000005,6,6,6,6.00000000000005,6.00000000000005,6.00000000000005,7,7,7,7,7,7,7,7,6.62431870499363,6.62431870499363,6.62431870499363,7,7,7,7.00000000000001,7.00000000000001,8.00000000000002,8.00000000000002,8.00000000000002,7.99999999999996,7.99999999999996,7.99999999999996,8.99999999999999,8.99999999999999,9,9,9,8.00000000000005,8.00000000000005,8,8,8,8,8,8,8,8,7.99999999999995,7.99999999999995,7.99999999999995,8.152119064743,8.152119064743,8,8,8,7.99999999999999,7.99999999999999,7.72686582868484,7.72686582868484,7.72686582868484,7.70405462772165,7.70405462772165,8.88769015191355,8.88769015191355,6.5024151342506,6.5024151342506,6.5024151342506,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,0,0,0,0,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.500000000000011,0,0,0,0,0,0,0,0,0,0,0,0,0.641811581311802,1.00000000000003,null,null,null,null,2,2.01870300224884,3.00000000000002,3.00000000000002,3,3,3.33875708250982,3.33875708250982,4,4.12506640616502,null,null,null,null,null,5,null,null,5.01069859854761,5.42931262611005,5.42931262611005,5,5,5,5.60985036461292,5.60985036461292,6,6,5.2788143842713,5.42262937974089,5.42262937974089,6,6,6,6,6,6,6,7.00000000000001,7.00000000000001,5.85665986896477,5.85665986896477,5.03317594050293,5.03317594050293,7.00000000000003,7.00000000000003,7,7,5.21365161864573,5.75979298847513,5.75979298847513,4.48321708505624,4.48321708505624,5.78215686223855,5.78215686223855,5.78215686223855,7.00000000000002,7.00000000000002,6.00000000000003,6.00000000000003,5,5,5.12859736744321,5.12859736744321,5.27783350512361,5.27783350512361,5,5,6.00000000000003,6.00000000000003,6.00000000000003,4.99999999999997,4.99999999999997,6,6,6,6,null,null,null,null,null,null,null,null,null,null,7,7,7.47057524996474,7.47057524996474,7.47057524996474,8.96592452379364,8.96592452379364,9,9,9.90527466403502,9.90527466403502,9.90527466403502,10,10,9.99999999999997,9.99999999999997,9.99999999999997,11,11,11,11.0382570919996,11.0382570919996,12,12,12,12,12,13,13,13,13.4856179297114,13.4856179297114,13.4856179297114,14,14,15,15,15,16,16,16,16,16,16.9332676358689,16.9332676358689,16.9332676358689,16,16,16,16,16,16,16,16,17.951862955957,17.951862955957,17.951862955957,17.2632765805041,17.2632765805041,17.2632765805041,17,17,17,16,16,16,13.8485675502993,13.8485675502993,11.0526308742088,11.0526308742088,11.0526308742088,9,9,9,8.36077095663237,8.36077095663237,8.36077095663237,7.00000000000001,7.00000000000001,7.00000000000001,6,6,6,6,6,6,5.03050411358184,5.03050411358184,4.99999999999997,4.99999999999997,4.99999999999997,6,6,6,5.59910204562639,5.59910204562639,5.59910204562639,5,5,5,5.68978851359747,5.68978851359747,5.68978851359747,5.83727668034768,5.83727668034768,5.83727668034768,5,5,5,5,5,5.30245506294886,5.30245506294886,5.30245506294886,6,6,6,4.99999999999999,4.99999999999999,4.99999999999999,6.00000000000003,6.00000000000003,6.00000000000003,6,6,6,6,6,5.99999999999999,5.99999999999999,5.99999999999999,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7.20522896574198,7.20522896574198,8.48096365670651,8.48096365670651,8.48096365670651,7.15072689730245,7.15072689730245,7.15072689730245,8.80344193986653,8.80344193986653,9.00000000000002,9.00000000000002,9.00000000000002,9,9,8,8,8,8,8,8,8,8,7,7,7,6.99999999999997,6.99999999999997,8,8,8,7.81988669004001,7.81988669004001,7.27313417131512,7.27313417131512,7.27313417131512,7.70405462772165,7.70405462772165,8,8,6.50241513425059,6.50241513425059,6.50241513425059,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,0,0,0,0,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1.00000000000002,0.130483574518867,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,2,2,2.31772658401398,2.31772658401398,3.00000000000001,3,3.33875708250982,3.33875708250982,4,4,null,null,null,null,null,5,null,null,5,5,5,5,5,5,5.60985036461292,5.60985036461292,6,6,5.27881438427129,5.42262937974089,5.42262937974089,6,6,5.99999999999998,6,6,6,6,6.70503007322886,6.70503007322886,5.14334013103524,5.14334013103524,6.00000000000002,6.00000000000002,6,6,7,7,6,6.75979298847516,6.75979298847516,5.24160854252812,5.24160854252812,5.78215686223855,5.78215686223855,5.78215686223855,6.16891314405507,6.16891314405507,4.99999999999998,4.99999999999998,5,5,5.12859736744321,5.12859736744321,6,6,5,5,null,null,null,6.00000000000002,6.00000000000002,null,null,6,6,null,null,null,null,null,null,null,null,null,null,7,7,7,7,7,8.96592452379366,8.96592452379366,8.99999999999999,8.99999999999999,9.90527466403502,9.90527466403502,9.90527466403502,10,10,11,11,11,10.4743081938251,10.4743081938251,10.4743081938251,11.0382570919996,11.0382570919996,12,12,12,12.2246794553012,12.2246794553012,13,13,13,13.4856179297114,13.4856179297114,13.4856179297114,14,14,14.8165284375688,14.8165284375688,14.8165284375688,15,15,15,16,16,16,16,16,15.6683007524745,15.6683007524745,15.6683007524745,16,16,16,17,17,17,17,17,18,18,18,17,17,17,16,16,16,13.8485675502993,13.8485675502993,10.0526308742088,10.0526308742088,10.0526308742088,9,9,9,8,8,8,6.5191782712517,6.5191782712517,6.5191782712517,5.99999999999999,5.99999999999999,5.99999999999999,6,6,6,5.03050411358183,5.03050411358183,6.00000000000002,6.00000000000002,6.00000000000002,6,6,6,6.00000000000001,6.00000000000001,6.00000000000001,5,5,5,6,6,6,5.83727668034768,5.83727668034768,5.83727668034768,4.99999999999998,4.99999999999998,5,5,5,5.69754493705114,5.69754493705114,5.69754493705114,6.00000000000001,6.00000000000001,6.00000000000001,5.35983252928747,5.35983252928747,5.35983252928747,4.99999999999998,4.99999999999998,4.99999999999998,5.99211819398118,5.99211819398118,6,6,6,6.41219368573634,6.41219368573634,6.41219368573634,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,8.80344193986653,8.80344193986653,8.43851222614494,8.43851222614494,8.43851222614494,9.00000000000002,9.00000000000002,8,8,8,8,8,8,8.00000000000002,8.00000000000002,7,7,7,7.84788093525696,7.84788093525696,8.00000000000001,8.00000000000001,8.00000000000001,7.18011330996,7.18011330996,7.72686582868488,7.72686582868488,7.72686582868488,7.70405462772165,7.70405462772165,7.88769015191359,7.88769015191359,6.50241513425059,6.50241513425059,6.50241513425059,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,2,2,2,2,2.6372538830655,3,3.33875708250982,3.33875708250982,4,4,4,4,null,5,5,null,null,null,5,5,5,5,5,5,5.60985036461292,5.60985036461292,6.00000000000002,6.00000000000002,5.2788143842713,5.42262937974089,5.42262937974089,6,6,6.89813521890072,6,6,6,6,6.29496992677115,6.29496992677115,5.85665986896475,5.85665986896475,5,5,5.91479486498983,5.91479486498983,6.83802972671546,6.83802972671546,6.00000000000002,6.75979298847518,6.75979298847518,6,6,5.78215686223854,5.78215686223854,5.78215686223854,7.16891314405509,7.16891314405509,6,6,5.0043506224354,5.0043506224354,5,5,6.00000000000001,6.00000000000001,4.99999999999999,4.99999999999999,null,null,null,5,5,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,7,8,8,9.42466366850326,9.42466366850326,10,10,10,10,10,10.9305237603306,10.9305237603306,10.9305237603306,11,11,11,11.0382570919996,11.0382570919996,12,12,12,13,13,13,13,13,13.4856179297114,13.4856179297114,13.4856179297114,14,14,14.8165284375689,14.8165284375689,14.8165284375689,14.5067042003129,14.5067042003129,14.5067042003129,16,16,15.0667323641311,15.0667323641311,15.0667323641311,15,15,15,16,16,16,17.1783339156289,17.1783339156289,17,17,17,17,17,17,17,17,17,16,16,16,14,14,10.0526308742088,10.0526308742088,10.0526308742088,9,9,9,7.99999999999999,7.99999999999999,7.99999999999999,6.99999999999999,6.99999999999999,6.99999999999999,6.32714650008389,6.32714650008389,6.32714650008389,6,6,6,5.96949588641817,5.96949588641817,5.11422067291186,5.11422067291186,5.11422067291186,6,6,6,5.59910204562642,5.59910204562642,5.59910204562642,4.99999999999999,4.99999999999999,4.99999999999999,6,6,6,5.83727668034768,5.83727668034768,5.83727668034768,5.98796810409353,5.98796810409353,5,5,5,5.30245506294886,5.30245506294886,5.30245506294886,5.46798076537576,5.46798076537576,5.46798076537576,6,6,6,5.81985748903806,5.81985748903806,5.81985748903806,5.99211819398118,5.99211819398118,6,6,6,6,6,6,7.00000000000001,7.00000000000001,7.00000000000001,7,7,7,7,7,6.99999999999999,6.99999999999999,6.99999999999999,7,7,7,7,7,7,8.00000000000001,8.00000000000001,8,8,8,8,8,8,8.80344193986653,8.80344193986653,9.00000000000001,9.00000000000001,9.00000000000001,8.05536386436041,8.05536386436041,8,8,8,8.00000000000002,8.00000000000002,8.00000000000002,7,7,7.00000000000002,7.00000000000002,7.00000000000002,7,7,7.65532615028535,7.65532615028535,7.65532615028535,7.18011330996001,7.18011330996001,7,7,7,7.70405462772166,7.70405462772166,7.88769015191361,7.88769015191361,6.50241513425059,6.50241513425059,6.50241513425059,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,2,2,2,2,2,2,2,2.97751974538465,3.33875708250982,3.33875708250982,4,4,4,4,null,5,5,5,null,null,5,5,5,5.00000000000001,5.00000000000001,5.00000000000008,5.60985036461292,5.60985036461292,5,5,5,5.57737062025907,5.57737062025907,6,6,6,6,6,6,6,6,6,6,6,5,5,5.91479486498983,5.91479486498983,5.99999999999999,5.99999999999999,5.21365161864581,6.00000000000008,6.00000000000008,5.99999999999992,5.99999999999992,6.00000000000006,6.00000000000006,6.00000000000006,7.16891314405509,7.16891314405509,6,6,5.00000000000008,5.00000000000008,5.12859736744321,5.12859736744321,5.27783350512369,5.27783350512369,5.54802906341286,5.54802906341286,6,6,6,5,5,null,null,null,null,null,null,null,5.00000000000008,5.00000000000008,null,null,null,null,null,null,null,7,7,7,7.96592452379364,7.96592452379364,9,9,10,10,10,10,10,10.9305237603306,10.9305237603306,10.9305237603306,11.4743081938251,11.4743081938251,11.4743081938251,11.9999999999999,11.9999999999999,12,12,12,12.7753205446987,12.7753205446987,13,13,13,13,13,13,13.9999999999999,13.9999999999999,14,14,14,14,14,14,14.2125062783052,14.2125062783052,14.9332676358689,14.9332676358689,14.9332676358689,14.6683007524745,14.6683007524745,14.6683007524745,15.4168983053924,15.4168983053924,15.4168983053924,17.1783339156289,17.1783339156289,17.0481370440431,17.0481370440431,17.0481370440431,17,17,17,18,18,18,17,17,17,14.8485675502993,14.8485675502993,10.0526308742089,10.0526308742089,10.0526308742089,9,9,9,8.36077095663236,8.36077095663236,8.36077095663236,7.51917827125167,7.51917827125167,7.51917827125167,7,7,7,5.99999999999998,5.99999999999998,5.99999999999998,5.03050411358192,5.03050411358192,5.99999999999999,5.99999999999999,5.99999999999999,5.99999999999994,5.99999999999994,5.99999999999994,5,5,5,5.45537649651058,5.45537649651058,5.45537649651058,6,6,6,6,6,6,5.01203189590649,5.01203189590649,5,5,5,5.69754493705115,5.69754493705115,5.69754493705115,5.46798076537572,5.46798076537572,5.46798076537572,6,6,6,5.81985748903806,5.81985748903806,5.81985748903806,6,6,6,6,6,6,6,6,6.36992369771193,6.36992369771193,6.36992369771193,7,7,7,7,7,7.64412851889002,7.64412851889002,7.64412851889002,7,7,7,7.09278963099836,7.09278963099836,7.09278963099836,7.20522896574207,7.20522896574207,8,8,8,8,8,8,8.80344193986653,8.80344193986653,8.561487773855,8.561487773855,8.561487773855,8,8,8,8,8,7,7,7,7,7,6,6,6,6.84788093525694,6.84788093525694,7,7,7,7,7,7,7,7,7,7,7.00000000000007,7.00000000000007,6.5024151342506,6.5024151342506,6.5024151342506,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,1.99999999999992,1.99999999999992,1.99999999999992,1.99999999999992,1.99999999999992,1.99999999999992,1.99999999999997,2.97751974538457,3.33875708250979,3.33875708250979,3.99999999999998,4,4,4,null,5,5,5,5,5,5,5,5,5.15380012359838,5.15380012359838,6,5.60985036461296,5.60985036461296,5.00000000000008,5.00000000000008,5.00000000000002,5,5,5.99999999999993,5.99999999999993,6,6,6,6,6,6,6,6,6,5.00000000000008,5.00000000000008,5.91479486498976,5.91479486498976,5.83802972671544,5.83802972671544,6,7,7,5,5,6.78215686223849,6.78215686223849,6.78215686223849,7.16891314405514,7.16891314405514,6,6,5.99564937756452,5.99564937756452,5.12859736744321,5.12859736744321,6,6,null,null,null,null,null,null,null,6,6,null,null,null,null,null,6,6,null,null,null,null,null,null,null,6.99999999999992,6.99999999999992,6.99999999999992,7.96592452379356,7.96592452379356,9,9,9.99999999999992,9.99999999999992,9.99999999999992,10,10,10.9305237603306,10.9305237603306,10.9305237603306,11.4743081938251,11.4743081938251,11.4743081938251,11.0382570919997,11.0382570919997,12,12,12,12,12,13,13,13,13,13,13,13.1426249223685,13.1426249223685,13.9999999999999,13.9999999999999,13.9999999999999,13.9999999999999,13.9999999999999,13.9999999999999,14,14,14.9999999999999,14.9999999999999,14.9999999999999,14.6683007524745,14.6683007524745,14.6683007524745,15.4168983053924,15.4168983053924,15.4168983053924,16.9999999999999,16.9999999999999,17.9999999999998,17.9999999999998,17.9999999999998,17,17,17,18,18,18,17,17,17,14.8485675502994,14.8485675502994,11.0526308742088,11.0526308742088,11.0526308742088,9.00000000000002,9.00000000000002,9.00000000000002,8.36077095663233,8.36077095663233,8.36077095663233,7.00000000000004,7.00000000000004,7.00000000000004,7,7,7,5.82266720216919,5.82266720216919,5.82266720216919,6,6,5.88577932708806,5.88577932708806,5.88577932708806,5.25772593937802,5.25772593937802,5.25772593937802,5,5,5,5.45537649651062,5.45537649651062,5.45537649651062,6,6,6,6,6,6,5.01203189590656,5.01203189590656,5.00000000000007,5.00000000000007,5.00000000000007,6,6,6,5,5,5,5.99999999999997,5.99999999999997,5.99999999999997,5.81985748903807,5.81985748903807,5.81985748903807,6,6,6,6,6,6,6,6,6.36992369771198,6.36992369771198,6.36992369771198,6.99999999999999,6.99999999999999,6.99999999999999,7,7,7,7,7,7.00000000000003,7.00000000000003,7.00000000000003,8,8,8,8,8,8,8,8,8.00000000000007,8.00000000000007,8.00000000000007,8.80344193986654,8.80344193986654,8,8,8,8.00000000000007,8.00000000000007,8,8,8,7,7,7,6.99999999999998,6.99999999999998,6,6,6,6.84788093525694,6.84788093525694,7,7,7,7,7,6.99999999999998,6.99999999999998,6.99999999999998,6.99999999999998,6.99999999999998,7.88769015191352,7.88769015191352,6.5024151342506,6.5024151342506,6.5024151342506,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0.999999999999992,1,1,1,1,1,1,1.63725388306548,2,3,3,3.72119658220509,4,4,4,5,5,5,5,5,5,5,5,5,5.15380012359838,5.15380012359838,6,6,6,6,6,5.2788143842713,5,5,5.14823099319091,5.14823099319091,6,5.99999999999999,5.99999999999999,6,6,6,6,6,6,5.98341202974852,5.98341202974852,5,5,5.83802972671544,5.83802972671544,6,6.99999999999999,6.99999999999999,5,5,6,6,6,7.8310868559449,7.8310868559449,6,6,5.0043506224354,5.0043506224354,5.12859736744321,5.12859736744321,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,7,7,8.99999999999999,8.99999999999999,9,9,9,10,10,10.9305237603306,10.9305237603306,10.9305237603306,11.4743081938251,11.4743081938251,11.4743081938251,12,12,12,12,12,12.2246794553013,12.2246794553013,13,13,13,13,13,13,13.8573750776316,13.8573750776316,13,13,13,13,13,13,14,14,14.0667323641311,14.0667323641311,14.0667323641311,14.6683007524745,14.6683007524745,14.6683007524745,15,15,15,16,16,15.048137044043,15.048137044043,15.048137044043,17.2101702584878,17.2101702584878,17.2101702584878,18.4678631530612,18.4678631530612,18.4678631530612,17.3373093101742,17.3373093101742,17.3373093101742,15.8485675502993,15.8485675502993,11.0526308742088,11.0526308742088,11.0526308742088,9.19676826012541,9.19676826012541,9.19676826012541,8,8,8,7.51917827125171,7.51917827125171,7.51917827125171,7,7,7,6,6,6,6,6,5.11422067291188,5.11422067291188,5.11422067291188,5.99999999999999,5.99999999999999,5.99999999999999,5,5,5,6,6,6,6,6,6,6,6,6,5.98796810409351,5.98796810409351,5.85726206063035,5.85726206063035,5.85726206063035,6,6,6,5.00000000000001,5.00000000000001,5.00000000000001,5.64016747071252,5.64016747071252,5.64016747071252,6,6,6,6,6,6,6,6,6,6,6,7,7,7,6.85948122488562,6.85948122488562,6.85948122488562,7,7,7,7,7,7.37568129500639,7.37568129500639,7.37568129500639,8,8,8,8,8,8,8,8,8.84927310269751,8.84927310269751,8.84927310269751,9,9,8,8,8,8.94463613563958,8.94463613563958,7.99999999999999,7.99999999999999,7.99999999999999,6.99999999999999,6.99999999999999,6.99999999999999,6.7912147657597,6.7912147657597,6,6,6,6.84788093525693,6.84788093525693,6.99999999999999,6.99999999999999,6.99999999999999,7,7,6.72686582868485,6.72686582868485,6.72686582868485,6.70405462772165,6.70405462772165,7,7,6.5024151342506,6.5024151342506,6.5024151342506,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.00364161426115e-14,0.242282806010275,1,1,1,1,1,1,1.63725388306548,2,3,3,3.72119658220509,4,null,null,5,5,5,5,5,5,5,5,5,5.15380012359838,5.15380012359838,5.99999999999999,5.99999999999999,5.99999999999999,6,6,6,5.00000000000001,5.00000000000001,5.14823099319091,5.14823099319091,6,5.32752238686778,5.32752238686778,6,6,6,6,6,6,6,6,5.08520513501017,5.08520513501017,5,5,6,6.24020701152484,6.24020701152484,5.00000000000001,5.00000000000001,6,6,6,7,7,6,6,5.00435062243541,5.00435062243541,5,5,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,7,7,8.42466366850325,8.42466366850325,9,9,9,9.99999999999999,9.99999999999999,10.9305237603306,10.9305237603306,10.9305237603306,11,11,11,11,11,12,12,12,13,13,13.84610958816,13.84610958816,13.84610958816,13.4856179297114,13.4856179297114,13.4856179297114,13.8573750776315,13.8573750776315,14,14,14,13.5067042003129,13.5067042003129,13.5067042003129,14,14,14,14,14,14.6683007524745,14.6683007524745,14.6683007524745,15,15,15,16,16,16,16,16,17,17,17,19,19,19,18,18,18,15.8485675502993,15.8485675502993,12.0526308742088,12.0526308742088,12.0526308742088,9.99999999999999,9.99999999999999,9.99999999999999,8.36077095663235,8.36077095663235,8.36077095663235,7.51917827125171,7.51917827125171,7.51917827125171,7,7,7,6,6,6,5.99999999999999,5.99999999999999,5.99999999999999,5.99999999999999,5.99999999999999,5,5,5,5.4008979543736,5.4008979543736,5.4008979543736,5.99999999999999,5.99999999999999,5.99999999999999,5.99999999999999,5.99999999999999,5.99999999999999,5.83727668034768,5.83727668034768,5.83727668034768,6,6,5.85726206063034,5.85726206063034,5.85726206063034,6,6,6,5.46798076537576,5.46798076537576,5.46798076537576,5.64016747071252,5.64016747071252,5.64016747071252,5.81985748903806,5.81985748903806,5.81985748903806,5.99999999999999,5.99999999999999,5.99999999999999,5.99999999999999,5.99999999999999,6,6,6,6.63007630228807,6.63007630228807,6.63007630228807,7,7,7,7,7,7.00000000000001,7.00000000000001,7.00000000000001,7.3756812950064,7.3756812950064,7.3756812950064,8,8,8,8,8,8.5190363432935,8.5190363432935,8.5190363432935,8.00000000000001,8.00000000000001,8.00000000000001,8.99999999999999,8.99999999999999,8,8,8,8,8,7.34655402619605,7.34655402619605,7.34655402619605,6.00000000000001,6.00000000000001,6.00000000000001,6.99999999999999,6.99999999999999,6.32991696690543,6.32991696690543,6.32991696690543,6.15211906474305,6.15211906474305,6.34467384971467,6.34467384971467,6.34467384971467,6.81988669004,6.81988669004,6.00000000000001,6.00000000000001,6.00000000000001,6.70405462772164,6.70405462772164,7,7,6.50241513425059,6.50241513425059,6.50241513425059,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.99999999999998,1,1,1,1,1,1,1,1.63725388306548,2,3,3,3,4,null,null,5,4.99999999999999,4.99999999999999,5,5,5,5,5,5,5,5,5,5,5,5.99999999999998,5.99999999999998,6,6,6,5,5,5.8981352189007,6,6,6,6,6,6,6,6,6.00000000000002,6.00000000000002,5.08520513501019,5.08520513501019,4.83802972671543,4.83802972671543,5.99999999999998,6.75979298847515,6.75979298847515,5.75839145747187,5.75839145747187,6.00000000000002,6.00000000000002,6.00000000000002,7,7,6,6,6,6,5,5,null,null,5,5,null,null,null,null,null,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.96592452379364,6.96592452379364,8,8,9,9,9,9.40736633768722,9.40736633768722,10,10,10,11,11,11,11.0382570919996,11.0382570919996,12.6218841573329,12.6218841573329,12.6218841573329,13,13,12.15389041184,12.15389041184,12.15389041184,13.5143820702886,13.5143820702886,13.5143820702886,13.1426249223685,13.1426249223685,13.8165284375688,13.8165284375688,13.8165284375688,14,14,14,14,14,14,14,14,14.6683007524745,14.6683007524745,14.6683007524745,15,15,15,15.8216660843711,15.8216660843711,16.951862955957,16.951862955957,16.951862955957,17,17,17,18,18,18,18,18,18,16,16,12.0526308742088,12.0526308742088,12.0526308742088,9.39353652025081,9.39353652025081,9.39353652025081,8.00000000000001,8.00000000000001,8.00000000000001,7.5191782712517,7.5191782712517,7.5191782712517,6.6728534999161,6.6728534999161,6.6728534999161,6,6,6,5.03050411358186,5.03050411358186,5.11422067291187,5.11422067291187,5.11422067291187,5,5,5,5.99999999999999,5.99999999999999,5.99999999999999,5.00000000000001,5.00000000000001,5.00000000000001,5,5,5,5.16272331965233,5.16272331965233,5.16272331965233,6,6,5,5,5,6,6,6,6,6,6,5.99999999999999,5.99999999999999,5.99999999999999,6,6,6,5.00788180601884,5.00788180601884,5.20505891361768,5.20505891361768,5.20505891361768,6.00000000000001,6.00000000000001,6.00000000000001,6.63007630228807,6.63007630228807,6.63007630228807,7,7,7,7,7,7.99999999999998,7.99999999999998,7.99999999999998,8,8,8,7.99999999999998,7.99999999999998,7.99999999999998,8,8,8.03807268658702,8.03807268658702,8.03807268658702,8.84927310269752,8.84927310269752,8.84927310269752,8,8,8,8,8,8,8,7.99999999999998,7.99999999999998,7.99999999999998,6.76776903368618,6.76776903368618,6.76776903368618,6.20878523424029,6.20878523424029,6.32991696690542,6.32991696690542,6.32991696690542,6,6,6.34467384971466,6.34467384971466,6.34467384971466,6.99999999999998,6.99999999999998,6.72686582868486,6.72686582868486,6.72686582868486,6,6,7,7,6.00000000000001,6.00000000000001,6.00000000000001,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0228963661991861,1,1,1,1,1,1,1,1.63725388306548,2,2.99999999999999,2.99999999999999,3,4,null,null,4.99999999999998,4.46749483057041,4.46749483057041,5,5,5,5,5,5,5,5,5,5,5,5.04374624764041,5.04374624764041,6,6,6,5,5,5.8981352189007,6,6,6,6,6,6,6,6,6.98341202974852,6.98341202974852,6,6,4.16197027328457,4.16197027328457,4.78634838135425,6,6,5.75839145747187,5.75839145747187,6.78215686223855,6.78215686223855,6.78215686223855,7,7,6,6,5.99564937756458,5.99564937756458,5.00000000000002,5.00000000000002,5.00000000000002,5.00000000000002,5.00000000000002,5.00000000000002,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.96592452379364,6.96592452379364,8,8,9,9,9,9.40736633768722,9.40736633768722,10,10,10,10.5256918061749,10.5256918061749,10.5256918061749,11,11,12,12,12,12.2246794553012,12.2246794553012,12.15389041184,12.15389041184,12.15389041184,13,13,13,14,14,13.1834715624312,13.1834715624312,13.1834715624312,14,14,14,14,14,14,14,14,14.6683007524745,14.6683007524745,14.6683007524745,15.4168983053924,15.4168983053924,15.4168983053924,15.8216660843711,15.8216660843711,17,17,17,17.7367234194959,17.7367234194959,17.7367234194959,18.4678631530611,18.4678631530611,18.4678631530611,18,18,18,16,16,13.0526308742088,13.0526308742088,13.0526308742088,10.1967682601254,10.1967682601254,10.1967682601254,8.36077095663237,8.36077095663237,8.36077095663237,7,7,7,6.99999999999998,6.99999999999998,6.99999999999998,6,6,6,6,6,5,5,5,5,5,5,5.59910204562639,5.59910204562639,5.59910204562639,5.54462350348942,5.54462350348942,5.54462350348942,5,5,5,6,6,6,6,6,5,5,5,6,6,6,6,6,6,5.64016747071251,5.64016747071251,5.64016747071251,6,6,6,6,6,6,6,6,6.41219368573633,6.41219368573633,6.41219368573633,6.99999999999998,6.99999999999998,6.99999999999998,7,7,7,7,7,7.00000000000001,7.00000000000001,7.00000000000001,7.99999999999998,7.99999999999998,7.99999999999998,7.09278963099831,7.09278963099831,7.09278963099831,8,8,8.03807268658702,8.03807268658702,8.03807268658702,8.84927310269752,8.84927310269752,8.84927310269752,8,8,7.99999999999999,7.99999999999999,7.99999999999999,7.94463613563959,7.94463613563959,7,7,7,6.99999999999998,6.99999999999998,6.99999999999998,6,6,6,6,6,6,6,6,6,6,6.00000000000002,6.00000000000002,6.72686582868485,6.72686582868485,6.72686582868485,5.99999999999999,5.99999999999999,6.99999999999998,6.99999999999998,6.50241513425058,6.50241513425058,6.50241513425058,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0228963661991861,1,1,1,1,1,1,1,1.63725388306548,2,2.33875708250982,2.33875708250982,3,4,null,null,4,4.46749483057041,4.46749483057041,5,5,5,5,5,5,5,5,5,5,5,5,5,5.72118561572871,6,6,5,5,5.8981352189007,6,6,6,6,6,6,6,6,6.98341202974852,6.98341202974852,6,6,5.00000000000003,5.00000000000003,4.78634838135426,5.75979298847516,5.75979298847516,5.99999999999999,5.99999999999999,6.78215686223855,6.78215686223855,6.78215686223855,7,7,6,6,5.0043506224354,5.0043506224354,6,6,5.99999999999997,5.99999999999997,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.96592452379364,6.96592452379364,7.99999999999998,7.99999999999998,9,9,9,9.40736633768724,9.40736633768724,10,10,10,10,10,10,10.0382570919996,10.0382570919996,11,11,11,12,12,12.84610958816,12.84610958816,12.84610958816,13,13,13,13.1426249223684,13.1426249223684,13.1834715624312,13.1834715624312,13.1834715624312,14,14,14,14,14,14,14,14,14.6683007524745,14.6683007524745,14.6683007524745,15.4168983053924,15.4168983053924,15.4168983053924,15.1783339156289,15.1783339156289,17,17,17,17.7367234194959,17.7367234194959,17.7367234194959,18,18,18,18,18,18,16,16,13.0526308742088,13.0526308742088,13.0526308742088,10.1967682601254,10.1967682601254,10.1967682601254,9,9,9,7,7,7,6.32714650008392,6.32714650008392,6.32714650008392,6,6,6,5.99999999999997,5.99999999999997,5.00000000000003,5.00000000000003,5.00000000000003,5.00000000000003,5.00000000000003,5.00000000000003,5.00000000000003,5.00000000000003,5.00000000000003,5.45537649651056,5.45537649651056,5.45537649651056,5.00000000000002,5.00000000000002,5.00000000000002,6,6,6,6,6,5.14273793936967,5.14273793936967,5.14273793936967,6,6,6,6,6,6,5.3598325292875,5.3598325292875,5.3598325292875,6.18014251096194,6.18014251096194,6.18014251096194,6,6,6,6,6,6.41219368573634,6.41219368573634,6.41219368573634,6.00000000000001,6.00000000000001,6.00000000000001,7,7,7,7,7,7.35587148110992,7.35587148110992,7.35587148110992,6.99999999999998,6.99999999999998,6.99999999999998,8.09278963099828,8.09278963099828,8.09278963099828,7.79477103425799,7.79477103425799,8.03807268658701,8.03807268658701,8.03807268658701,8.8492731026975,8.8492731026975,8.8492731026975,8,8,7.43851222614496,7.43851222614496,7.43851222614496,7.94463613563959,7.94463613563959,7,7,7,6,6,6,6.00000000000001,6.00000000000001,6,6,6,5.84788093525695,5.84788093525695,6,6,6,6.99999999999997,6.99999999999997,6,6,6,5.29594537227836,5.29594537227836,6.11230984808644,6.11230984808644,6.00483026850119,6.00483026850119,6.00483026850119,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0228963661991854,0.999999999999977,0.999999999999985,0.999999999999985,0.999999999999992,1,1,1,1.63725388306548,2,2.33875708250982,2.33875708250982,3,4,null,null,4,4.46749483057041,4.46749483057041,5,5,5,5,5,5,5,5,5,5,5,5,5,5.72118561572871,6,6,5,5,5.8981352189007,6,6,6,6,6,6,6,6,7,7,6.0852051350102,6.0852051350102,6,6,5.00000000000002,5.75979298847517,5.75979298847517,5.75839145747189,5.75839145747189,6.78215686223856,6.78215686223856,6.78215686223856,7,7,6,6,5.0043506224354,5.0043506224354,6,6,5.00000000000003,5.00000000000003,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.99999999999997,6.99999999999997,7.42466366850325,7.42466366850325,8.90527466403502,8.90527466403502,8.90527466403502,10,10,10,10,10,10,10,10,10,10,10.6218841573329,10.6218841573329,10.6218841573329,11,11,12,12,12,13,13,13,13.1426249223684,13.1426249223684,13.1834715624312,13.1834715624312,13.1834715624312,14,14,14,15,15,15,15,15,14.6683007524745,14.6683007524745,14.6683007524745,15,15,15,16,16,17,17,17,18,18,18,18,18,18,17.6626906898258,17.6626906898258,17.6626906898258,16.8485675502993,16.8485675502993,14.0526308742088,14.0526308742088,14.0526308742088,11,11,11,9.00000000000001,9.00000000000001,9.00000000000001,7,7,7,7,7,7,5.99999999999999,5.99999999999999,5.99999999999999,5.03050411358184,5.03050411358184,5.88577932708812,5.88577932708812,5.88577932708812,6,6,6,6,6,6,5.00000000000002,5.00000000000002,5.00000000000002,5.68978851359746,5.68978851359746,5.68978851359746,5.99999999999997,5.99999999999997,5.99999999999997,6,6,6,6,6,6,6,6,5.99999999999997,5.99999999999997,5.99999999999997,6,6,6,6,6,6,6,6,6,6,6,6.58780631426367,6.58780631426367,6.58780631426367,6.36992369771195,6.36992369771195,6.36992369771195,7,7,7,7.00000000000003,7.00000000000003,7.00000000000002,7.00000000000002,7.00000000000002,6.37568129500641,6.37568129500641,6.37568129500641,7.90721036900171,7.90721036900171,7.90721036900171,7.794771034258,7.794771034258,8.03807268658703,8.03807268658703,8.03807268658703,8.15072689730247,8.15072689730247,8.15072689730247,7.99999999999999,7.99999999999999,7.56148777385505,7.56148777385505,7.56148777385505,7.94463613563956,7.94463613563956,7.00000000000001,7.00000000000001,7.00000000000001,6,6,6,6.20878523424029,6.20878523424029,6,6,6,6,6,6,6,6,6,6,6,6,6,5.70405462772165,5.70405462772165,6.99999999999997,6.99999999999997,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.242282806010277,0.518780418378757,0.518780418378757,0.739946633953609,1,1,1,1.63725388306548,2,2.33875708250982,2.33875708250982,3,4,null,null,4,4.46749483057041,4.46749483057041,5,5,5,5,5,5,4.99999999999997,4.99999999999997,5,5,5,5,5,5.72118561572873,6.00000000000002,6.00000000000002,5,5,5.8981352189007,5.99999999999997,5.99999999999997,5.99999999999998,5.99999999999998,6,6,6,6,7.00000000000004,7.00000000000004,7,7,6.16197027328452,6.16197027328452,5.78634838135424,6,6,6.51678291494372,6.51678291494372,6.99999999999999,6.99999999999999,6.99999999999999,7.00000000000003,7.00000000000003,6,6,4.99999999999996,4.99999999999996,5.99999999999999,5.99999999999999,5.99999999999997,5.99999999999997,6,6,6.00000000000001,6.00000000000001,6.00000000000001,5.50000000000001,5.50000000000001,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,7.42466366850326,7.42466366850326,8.90527466403502,8.90527466403502,8.90527466403502,10,10,10,10,10,10,10,10,10,10,11,11,11,11,11,11.84610958816,11.84610958816,11.84610958816,13,13,13,13,13,13.1834715624311,13.1834715624311,13.1834715624311,14,14,14,15,15,15,15,15,14.6683007524745,14.6683007524745,14.6683007524745,15,15,15,16.1783339156289,16.1783339156289,17,17,17,18,18,18,18,18,18,18,18,18,16.8485675502994,16.8485675502994,14.0526308742088,14.0526308742088,14.0526308742088,11.1967682601254,11.1967682601254,11.1967682601254,9.36077095663233,9.36077095663233,9.36077095663233,6.99999999999998,6.99999999999998,6.99999999999998,7,7,7,5.82266720216917,5.82266720216917,5.82266720216917,5.03050411358184,5.03050411358184,5.88577932708812,5.88577932708812,5.88577932708812,6.00000000000004,6.00000000000004,6.00000000000004,6.00000000000004,6.00000000000004,6.00000000000004,5.54462350348945,5.54462350348945,5.54462350348945,5,5,5,4.99999999999997,4.99999999999997,4.99999999999997,6,6,6.00000000000004,6.00000000000004,6.00000000000004,6.00000000000003,6.00000000000003,6.00000000000003,4.99999999999996,4.99999999999996,4.99999999999996,6,6,6,6,6,6,6,6,6,6,6,6.58780631426367,6.58780631426367,6.58780631426367,7,7,7,7,7,7,7.8988337729993,7.8988337729993,7.6441285188901,7.6441285188901,7.6441285188901,7.00000000000004,7.00000000000004,7.00000000000004,7.90721036900171,7.90721036900171,7.90721036900171,8.00000000000001,8.00000000000001,8.51903634329349,8.51903634329349,8.51903634329349,7.99999999999997,7.99999999999997,7.99999999999997,7.80344193986653,7.80344193986653,7.56148777385507,7.56148777385507,7.56148777385507,6.99999999999996,6.99999999999996,7.34655402619605,7.34655402619605,7.34655402619605,5.99999999999997,5.99999999999997,5.99999999999997,6,6,6.00000000000003,6.00000000000003,6.00000000000003,6,6,6,6,6,6,6,6.00000000000003,6.00000000000003,6.00000000000003,5.70405462772165,5.70405462772165,6.00000000000003,6.00000000000003,6.00000000000004,6.00000000000004,6.00000000000004,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1.63725388306548,2,2.33875708250982,2.33875708250982,3,null,null,null,4,4.46749483057041,4.46749483057041,5,5.00000000000002,5.00000000000002,5,5,5,5.84619987640165,5.84619987640165,4.99999999999999,5,5,5,5,5,5.42262937974089,5.42262937974089,5,5,5.8981352189007,6.67247761313222,6.67247761313222,6.52861600143876,6.52861600143876,6,6,6,6,6.01658797025148,6.01658797025148,7,7,7,7,5.99999999999996,5.99999999999999,5.99999999999999,6.75839145747184,6.75839145747184,7.21784313776146,7.21784313776146,7.21784313776146,6.16891314405505,6.16891314405505,6.00000000000004,6.00000000000004,6,6,6.12859736744321,6.12859736744321,6.7221664948764,6.7221664948764,6,6,5.65090273686869,5.65090273686869,5.65090273686869,5.12549737540003,5.12549737540003,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,7.42466366850326,7.42466366850326,9,9,9,9.40736633768722,9.40736633768722,10,10,10,10,10,10,10,10,11,11,11,11.7753205446988,11.7753205446988,12,12,12,13,13,13,13,13,13.8165284375689,13.8165284375689,13.8165284375689,14,14,14,14.2125062783052,14.2125062783052,15,15,15,14,14,14,15,15,15,16.1783339156289,16.1783339156289,17,17,17,18,18,18,18,18,18,18,18,18,16,16,14.0526308742087,14.0526308742087,14.0526308742087,12,12,12,9.99999999999999,9.99999999999999,9.99999999999999,7.51917827125171,7.51917827125171,7.51917827125171,6.99999999999997,6.99999999999997,6.99999999999997,6,6,6,5.03050411358181,5.03050411358181,6,6,6,5,5,5,4.99999999999998,4.99999999999998,4.99999999999998,5,5,5,5,5,5,5.83727668034772,5.83727668034772,5.83727668034772,6.00000000000004,6.00000000000004,4.99999999999996,4.99999999999996,4.99999999999996,5.30245506294884,5.30245506294884,5.30245506294884,6,6,6,6.00000000000004,6.00000000000004,6.00000000000004,6,6,6,6,6,5.99999999999997,5.99999999999997,5.99999999999997,6.58780631426369,6.58780631426369,6.58780631426369,7.00000000000001,7.00000000000001,7.00000000000001,7.00000000000001,7.00000000000001,7.00000000000001,7.10116622700074,7.10116622700074,7,7,7,5.99999999999998,5.99999999999998,5.99999999999998,7.90721036900171,7.90721036900171,7.90721036900171,7.79477103425799,7.79477103425799,9.00000000000002,9.00000000000002,9.00000000000002,8.84927310269755,8.84927310269755,8.84927310269755,7.80344193986656,7.80344193986656,6.99999999999998,6.99999999999998,6.99999999999998,8,8,7.00000000000003,7.00000000000003,7.00000000000003,6.76776903368617,6.76776903368617,6.76776903368617,6,6,5.3299169669054,5.3299169669054,5.3299169669054,6,6,6.00000000000001,6.00000000000001,6.00000000000001,6.00000000000001,6.00000000000001,5.27313417131515,5.27313417131515,5.27313417131515,5.70405462772165,5.70405462772165,5.11230984808637,5.11230984808637,4.99999999999996,4.99999999999996,4.99999999999996,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1.63725388306548,2,2.33875708250982,2.33875708250982,3,null,null,null,4,4.46749483057041,4.46749483057041,5,4.52636165639697,4.52636165639697,5,5,5,5.15380012359838,5.15380012359838,5.23977355583906,5,5,5,5,5,5.42262937974089,5.42262937974089,5,5,5.8981352189007,6.67247761313222,6.67247761313222,6.52861600143876,6.52861600143876,6,6,6,6,6,6,6.91479486498983,6.91479486498983,7.00000000000005,7.00000000000005,7,6.24020701152484,6.24020701152484,7.51678291494375,7.51678291494375,7.00000000000001,7.00000000000001,7.00000000000001,6.99999999999999,6.99999999999999,5,5,6,6,6,6,6,6,6,6,5.99999999999998,5.99999999999998,5.99999999999998,5.87450262459994,5.87450262459994,5.50000000000002,5.50000000000002,null,null,null,null,null,5,5,null,null,null,null,null,null,null,null,null,null,6,6,7.42466366850323,7.42466366850323,9,9,9,9.40736633768722,9.40736633768722,9.99999999999995,9.99999999999995,9.99999999999995,10,10,10,10,10,10.6218841573329,10.6218841573329,10.6218841573329,11.2246794553013,11.2246794553013,12.84610958816,12.84610958816,12.84610958816,13,13,13,13,13,13,13,13,14,14,14,14.2125062783052,14.2125062783052,15,15,15,14,14,14,15.4168983053924,15.4168983053924,15.4168983053924,16,16,16.951862955957,16.951862955957,16.951862955957,18,18,18,18,18,18,18,18,18,16,16,14.9999999999999,14.9999999999999,14.9999999999999,12.1967682601254,12.1967682601254,12.1967682601254,10.3607709566324,10.3607709566324,10.3607709566324,7.51917827125173,7.51917827125173,7.51917827125173,7.67285349991606,7.67285349991606,7.67285349991606,6,6,6,5.96949588641816,5.96949588641816,6,6,6,5.00000000000001,5.00000000000001,5.00000000000001,5.40089795437357,5.40089795437357,5.40089795437357,5.00000000000002,5.00000000000002,5.00000000000002,5,5,5,5,5,5,5.01203189590648,5.01203189590648,6,6,6,6,6,6,6,6,6,5.00000000000005,5.00000000000005,5.00000000000005,5.99999999999999,5.99999999999999,5.99999999999999,6.00000000000005,6.00000000000005,6.7949410863823,6.7949410863823,6.7949410863823,6.00000000000005,6.00000000000005,6.00000000000005,6.63007630228809,6.63007630228809,6.63007630228809,6.85948122488562,6.85948122488562,6.85948122488562,7,7,6.99999999999997,6.99999999999997,6.99999999999997,6.37568129500639,6.37568129500639,6.37568129500639,7.90721036900166,7.90721036900166,7.90721036900166,7.79477103425795,7.79477103425795,8.51903634329348,8.51903634329348,8.51903634329348,8,8,8,7.00000000000001,7.00000000000001,7.43851222614498,7.43851222614498,7.43851222614498,8,8,6.34655402619606,6.34655402619606,6.34655402619606,6.76776903368613,6.76776903368613,6.76776903368613,6.00000000000004,6.00000000000004,5.99999999999998,5.99999999999998,5.99999999999998,6,6,5.65532615028532,5.65532615028532,5.65532615028532,5.81988669004,5.81988669004,5.00000000000004,5.00000000000004,5.00000000000004,5.70405462772163,5.70405462772163,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.999999999999941,1,1,1.63725388306548,2,2.33875708250982,2.33875708250982,3,null,null,null,4,4.46749483057041,4.46749483057041,5,5,5,5,5,5,5.15380012359838,5.15380012359838,5.23977355583906,5,5,5,5,5,5.42262937974092,5.42262937974092,5.00000000000001,5.00000000000001,5.89813521890071,6.67247761313222,6.67247761313222,6.52861600143876,6.52861600143876,6,6,6,6,6,6,6.91479486498978,6.91479486498978,7.99999999999994,7.99999999999994,7,6.24020701152488,6.24020701152488,7.75839145747182,7.75839145747182,7.21784313776139,7.21784313776139,7.21784313776139,6.83108685594487,6.83108685594487,5.00000000000001,5.00000000000001,6,6,6,6,6,6,5.99999999999997,5.99999999999997,5.65090273686871,5.65090273686871,5.65090273686871,6.00000000000005,6.00000000000005,5.87737555149536,5.87737555149536,5.00000000000006,5.00000000000006,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,6,6,7.00000000000003,7.00000000000003,9,9,9,9.4073663376872,9.4073663376872,9,9,9,10.474308193825,10.474308193825,10.474308193825,10.9617429080003,10.9617429080003,10.0000000000001,10.0000000000001,10.0000000000001,12,12,12.8461095881599,12.8461095881599,12.8461095881599,12.9999999999999,12.9999999999999,12.9999999999999,13,13,13,13,13,13.5067042003129,13.5067042003129,13.5067042003129,14.2125062783052,14.2125062783052,15,15,15,14.3316992475255,14.3316992475255,14.3316992475255,15,15,15,16.1783339156289,16.1783339156289,17,17,17,18.7367234194959,18.7367234194959,18.7367234194959,18.5321368469388,18.5321368469388,18.5321368469388,18,18,18,16,16,14.0263154371044,14.0263154371044,14.0263154371044,12,12,12,10.3607709566324,10.3607709566324,10.3607709566324,8.03835654250348,8.03835654250348,8.03835654250348,7,7,7,6,6,6,6,6,5.99999999999994,5.99999999999994,5.99999999999994,5.25772593937801,5.25772593937801,5.25772593937801,5,5,5,5.45537649651058,5.45537649651058,5.45537649651058,5.00000000000006,5.00000000000006,5.00000000000006,5,5,5,5.01203189590648,5.01203189590648,5.99999999999999,5.99999999999999,5.99999999999999,5.99999999999994,5.99999999999994,5.99999999999994,6,6,6,5.99999999999998,5.99999999999998,5.99999999999998,5.81985748903806,5.81985748903806,5.81985748903806,6.99211819398112,6.99211819398112,6,6,6,6.99999999999996,6.99999999999996,6.99999999999996,7,7,7,6.85948122488563,6.85948122488563,6.85948122488563,7.10116622700073,7.10116622700073,6.35587148110997,6.35587148110997,6.35587148110997,6.37568129500643,6.37568129500643,6.37568129500643,6.99999999999994,6.99999999999994,6.99999999999994,7.00000000000006,7.00000000000006,8,8,8,7.99999999999994,7.99999999999994,7.99999999999994,7.19655806013351,7.19655806013351,7.99999999999994,7.99999999999994,7.99999999999994,7.94463613563953,7.94463613563953,6.65344597380392,6.65344597380392,6.65344597380392,5.99999999999998,5.99999999999998,5.99999999999998,6.79121476575965,6.79121476575965,5.67008303309455,5.67008303309455,5.67008303309455,5.99999999999995,5.99999999999995,5.34467384971468,5.34467384971468,5.34467384971468,5.99999999999995,5.99999999999995,5.72686582868482,5.72686582868482,5.72686582868482,5.29594537227837,5.29594537227837,5.99999999999994,5.99999999999994,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0187030022488372,1,1,1.63725388306548,2,2.3387570825098,2.3387570825098,2.99999999999998,null,null,null,4,4.46749483057039,4.46749483057039,5,5,5,5,5,5,5.15380012359843,5.15380012359843,5.23977355583906,5,5,5,5,5,6,6,5.14823099319091,5.14823099319091,6,6.67247761313222,6.67247761313222,6.52861600143876,6.52861600143876,6,6,6,6,6.01658797025148,6.01658797025148,6.08520513501017,6.08520513501017,7,7,7,7,7,7,7,6.2178431377615,6.2178431377615,6.2178431377615,6.16891314405508,6.16891314405508,5.09483691237129,5.09483691237129,null,null,6,6,null,null,5.45197093658711,5.45197093658711,5.65090273686867,5.65090273686867,5.65090273686867,6.87450262459988,6.87450262459988,6.87737555149525,6.87737555149525,5.99999999999994,5.99999999999994,5.00000000000006,5.00000000000006,5.00000000000006,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.42466366850326,7.42466366850326,9,9,9,8.99999999999996,8.99999999999996,9,9,9,10,10,10,10.0382570919997,10.0382570919997,11,11,11,12,12,12,12,12,12,12,12,12.1426249223684,12.1426249223684,13,13,13,14,14,14,14.2125062783052,14.2125062783052,15,15,15,15,15,15,15,15,15,16.178333915629,16.178333915629,17,17,17,18.7367234194959,18.7367234194959,18.7367234194959,18.5321368469388,18.5321368469388,18.5321368469388,17.9999999999999,17.9999999999999,17.9999999999999,16,16,14.0263154371044,14.0263154371044,14.0263154371044,12,12,12,11,11,11,9.03835654250338,9.03835654250338,9.03835654250338,7,7,7,6,6,6,6,6,5.00000000000001,5.00000000000001,5.00000000000001,6,6,6,5.00000000000006,5.00000000000006,5.00000000000006,5.45537649651055,5.45537649651055,5.45537649651055,5.99999999999994,5.99999999999994,5.99999999999994,5,5,5,5,5,5.85726206063035,5.85726206063035,5.85726206063035,5.00000000000006,5.00000000000006,5.00000000000006,5.99999999999997,5.99999999999997,5.99999999999997,5.64016747071254,5.64016747071254,5.64016747071254,5.81985748903807,5.81985748903807,5.81985748903807,6,6,6,6,6,6.41219368573633,6.41219368573633,6.41219368573633,7,7,7,7,7,7,7.10116622700073,7.10116622700073,6.99999999999998,6.99999999999998,6.99999999999998,7,7,7,6.09278963099835,6.09278963099835,6.09278963099835,7.99999999999999,7.99999999999999,7.99999999999997,7.99999999999997,7.99999999999997,7,7,7,7.80344193986648,7.80344193986648,7,7,7,6.99999999999994,6.99999999999994,6,6,6,5.76776903368617,5.76776903368617,5.76776903368617,6,6,5.32991696690547,5.32991696690547,5.32991696690547,5.1521190647431,5.1521190647431,5.65532615028533,5.65532615028533,5.65532615028533,5.18011330996001,5.18011330996001,5.00000000000006,5.00000000000006,5.00000000000006,5.70405462772167,5.70405462772167,5.00000000000006,5.00000000000006,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0187030022488372,1,1,1.63725388306548,2,2.00000000000002,2.00000000000002,2.72119658220511,null,4,4,4,4,4,4.95930572307133,5,5,5,5,5,5.99999999999994,5.99999999999994,5.23977355583906,5,5,5,5,5,6,6,5.14823099319091,5.14823099319091,6,6.67247761313225,6.67247761313225,6.52861600143873,6.52861600143873,6,6,6,6,6.01658797025148,6.01658797025148,6.08520513501017,6.08520513501017,7,7,7,7,7,6.99999999999995,6.99999999999995,6.99999999999994,6.99999999999994,6.99999999999994,6,6,null,null,null,null,null,null,null,null,5,5,5.00000000000005,5.00000000000005,5.00000000000005,6.00000000000007,6.00000000000007,6.00000000000006,6.00000000000006,5,5,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.42466366850326,7.42466366850326,8.99999999999993,8.99999999999993,8.99999999999993,8.40736633768722,8.40736633768722,9,9,9,10.474308193825,10.474308193825,10.474308193825,10.9999999999999,10.9999999999999,11.0000000000001,11.0000000000001,11.0000000000001,11.7753205446988,11.7753205446988,12.0000000000001,12.0000000000001,12.0000000000001,12.4856179297114,12.4856179297114,12.4856179297114,12.1426249223685,12.1426249223685,13.1834715624312,13.1834715624312,13.1834715624312,14.0000000000001,14.0000000000001,14.0000000000001,14.2125062783053,14.2125062783053,15.0000000000001,15.0000000000001,15.0000000000001,15.3316992475255,15.3316992475255,15.3316992475255,15.0000000000001,15.0000000000001,15.0000000000001,16.9999999999999,16.9999999999999,17,17,17,18.7367234194959,18.7367234194959,18.7367234194959,18.5321368469388,18.5321368469388,18.5321368469388,17,17,17,16.8485675502993,16.8485675502993,14.0263154371044,14.0263154371044,14.0263154371044,12,12,12,11,11,11,8.51917827125174,8.51917827125174,8.51917827125174,7,7,7,6.00000000000006,6.00000000000006,6.00000000000006,6,6,5.11422067291193,5.11422067291193,5.11422067291193,5.99999999999995,5.99999999999995,5.99999999999995,5.99999999999993,5.99999999999993,5.99999999999993,5.00000000000007,5.00000000000007,5.00000000000007,5.00000000000002,5.00000000000002,5.00000000000002,5,5,5,5,5,5.85726206063036,5.85726206063036,5.85726206063036,5.99999999999995,5.99999999999995,5.99999999999995,5.46798076537576,5.46798076537576,5.46798076537576,5.99999999999995,5.99999999999995,5.99999999999995,6.00000000000006,6.00000000000006,6.00000000000006,6,6,6,6,6,6.4121936857363,6.4121936857363,6.4121936857363,6.99999999999993,6.99999999999993,6.99999999999993,6.99999999999994,6.99999999999994,6.99999999999994,6.99999999999994,6.99999999999994,6.6441285188901,6.6441285188901,6.6441285188901,7,7,7,7,7,7,7.79477103425794,7.79477103425794,7.51903634329347,7.51903634329347,7.51903634329347,7,7,7,7.00000000000007,7.00000000000007,7.00000000000004,7.00000000000004,7.00000000000004,6.00000000000007,6.00000000000007,6.00000000000002,6.00000000000002,6.00000000000002,5.76776903368617,5.76776903368617,5.76776903368617,5.99999999999993,5.99999999999993,6,6,6,5.84788093525695,5.84788093525695,5.65532615028536,5.65532615028536,5.65532615028536,5.18011330996005,5.18011330996005,5.99999999999995,5.99999999999995,5.99999999999995,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-7.42641234168278e-15,0.0187030022488372,1,1,1.63725388306548,2,2.33875708250982,2.33875708250982,3,3,4,4,4,4,4,4,5.00000000000001,5.00000000000001,5,5,5,5.15380012359838,5.15380012359838,5.23977355583906,5,5,5,5,5,6,6,5.14823099319091,5.14823099319091,6,7.00000000000001,7.00000000000001,6,6,6,6,6,6,6.01658797025148,6.01658797025148,6.08520513501016,6.08520513501016,7,7,7,6.99999999999999,6.99999999999999,6.24160854252813,6.24160854252813,6.21784313776145,6.21784313776145,6.21784313776145,6,6,null,null,null,null,null,null,null,null,5,5,5.65090273686871,5.65090273686871,5.65090273686871,7,7,6.8773755514953,6.8773755514953,4.99999999999999,4.99999999999999,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.42466366850326,7.42466366850326,8,8,8,8.40736633768722,8.40736633768722,9,9,9,10,10,10,10.0765141839992,10.0765141839992,12,12,12,12,12,12.84610958816,12.84610958816,12.84610958816,13,13,13,13,13,13.8165284375688,13.8165284375688,13.8165284375688,15,15,15,15.2125062783052,15.2125062783052,16,16,16,16,16,16,16,16,16,16,16,17,17,17,18.7367234194959,18.7367234194959,18.7367234194959,18.5321368469388,18.5321368469388,18.5321368469388,17.6626906898258,17.6626906898258,17.6626906898258,16.8485675502993,16.8485675502993,14.0263154371044,14.0263154371044,14.0263154371044,12.1967682601254,12.1967682601254,12.1967682601254,11,11,11,9.03835654250342,9.03835654250342,9.03835654250342,7,7,7,6.82266720216917,6.82266720216917,6.82266720216917,6,6,5.88577932708813,5.88577932708813,5.88577932708813,5.25772593937795,5.25772593937795,5.25772593937795,5,5,5,6.00000000000001,6.00000000000001,6.00000000000001,5.31021148640252,5.31021148640252,5.31021148640252,5,5,5,5,5,6.00000000000001,6.00000000000001,6.00000000000001,5.30245506294887,5.30245506294887,5.30245506294887,5.46798076537576,5.46798076537576,5.46798076537576,5.35983252928748,5.35983252928748,5.35983252928748,6.81985748903807,6.81985748903807,6.81985748903807,6,6,6,6,6,6,6,6,6,6,6,6.14051877511437,6.14051877511437,6.14051877511437,6.10116622700072,6.10116622700072,6.99999999999999,6.99999999999999,6.99999999999999,7,7,7,7,7,7,6.99999999999999,6.99999999999999,7,7,7,7,7,7,8.00000000000001,8.00000000000001,7.56148777385505,7.56148777385505,7.56148777385505,7,7,6.34655402619604,6.34655402619604,6.34655402619604,5.76776903368617,5.76776903368617,5.76776903368617,5,5,6,6,6,6.00000000000001,6.00000000000001,6.00000000000001,6.00000000000001,6.00000000000001,5.81988669003999,5.81988669003999,5.27313417131514,5.27313417131514,5.27313417131514,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.739946633953579,0.0187030022488372,1,1,1.63725388306548,2,2.33875708250982,2.33875708250982,3,3,3.99999999999999,3.99999999999999,3.99999999999999,3.99999999999999,3.99999999999999,4,4.47363834360306,4.47363834360306,5,5,5,5,5,5.00000000000001,5,5,5,5,5,6,6,5.14823099319091,5.14823099319091,6,6,6,6,6,6,6,6,6,6,6,6.91479486498983,6.91479486498983,7,7,7,7.75979298847516,7.75979298847516,6.24160854252813,6.24160854252813,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5.6509027368687,5.6509027368687,5.6509027368687,6.87450262459994,6.87450262459994,6.8773755514953,6.8773755514953,5.99999999999999,5.99999999999999,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,8,8,8,8.40736633768722,8.40736633768722,9,9,9,10,10,10,10.0382570919996,10.0382570919996,11.6218841573329,11.6218841573329,11.6218841573329,12,12,13,13,13,13,13,13,13,13,13.8165284375688,13.8165284375688,13.8165284375688,15,15,15,15.2125062783052,15.2125062783052,15.0667323641311,15.0667323641311,15.0667323641311,15,15,15,16.4168983053924,16.4168983053924,16.4168983053924,17,17,17,17,17,18,18,18,18.4678631530612,18.4678631530612,18.4678631530612,17.6626906898258,17.6626906898258,17.6626906898258,16.8485675502993,16.8485675502993,14.0263154371044,14.0263154371044,14.0263154371044,12.1967682601254,12.1967682601254,12.1967682601254,11,11,11,8.51917827125171,8.51917827125171,8.51917827125171,7.00000000000001,7.00000000000001,7.00000000000001,6.82266720216918,6.82266720216918,6.82266720216918,5.96949588641816,5.96949588641816,5.88577932708813,5.88577932708813,5.88577932708813,6.00000000000001,6.00000000000001,6.00000000000001,5.4008979543736,5.4008979543736,5.4008979543736,5,5,5,5,5,5,5.00000000000001,5.00000000000001,5.00000000000001,5.0120318959065,5.0120318959065,5,5,5,5,5,5,5.46798076537575,5.46798076537575,5.46798076537575,5.35983252928748,5.35983252928748,5.35983252928748,6,6,6,5.99999999999999,5.99999999999999,6,6,6,6.00000000000001,6.00000000000001,6.00000000000001,6.00000000000001,6.00000000000001,6.00000000000001,6.85948122488562,6.85948122488562,6.85948122488562,6.99999999999999,6.99999999999999,7.71174296221985,7.71174296221985,7.71174296221985,7,7,7,7.00000000000001,7.00000000000001,7.00000000000001,7.79477103425799,7.79477103425799,7,7,7,7,7,7,7.19655806013348,7.19655806013348,7,7,7,6.99999999999999,6.99999999999999,7,7,7,5.76776903368617,5.76776903368617,5.76776903368617,5.2087852342403,5.2087852342403,5.67008303309457,5.67008303309457,5.67008303309457,5.15211906474306,5.15211906474306,5.34467384971467,5.34467384971467,5.34467384971467,6,6,5.00000000000001,5.00000000000001,5.00000000000001,5.70405462772165,5.70405462772165,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.739946633953579,0.0187030022488372,1,1,1.63725388306548,2,2.33875708250982,2.33875708250982,3,3,3,3,3,3.46749483057041,3.46749483057041,4,4.47363834360306,4.47363834360306,5,5,5,5,5,5.76022644416094,5,5,5,5,5,5.42262937974089,5.42262937974089,5.14823099319091,5.14823099319091,6,6.32752238686778,6.32752238686778,6,6,6,6,6,6,6,6,6.91479486498983,6.91479486498983,6.83802972671544,6.83802972671544,7,7,7,6,6,6,6,6,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,6.87450262459994,6.87450262459994,7,7,5.39510169323495,5.39510169323495,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.42466366850326,6.42466366850326,7.90527466403502,7.90527466403502,7.90527466403502,9,9,9,9,9,10,10,10,10.0382570919996,10.0382570919996,12,12,12,12.2246794553013,12.2246794553013,13,13,13,13,13,13,13,13,14.8165284375688,14.8165284375688,14.8165284375688,15.4932957996871,15.4932957996871,15.4932957996871,15.2125062783052,15.2125062783052,15.0667323641311,15.0667323641311,15.0667323641311,16,16,16,16.5831016946076,16.5831016946076,16.5831016946076,17,17,17,17,17,18,18,18,18,18,18,17.6626906898258,17.6626906898258,17.6626906898258,15.8485675502993,15.8485675502993,14.0263154371044,14.0263154371044,14.0263154371044,13,13,13,10.3607709566324,10.3607709566324,10.3607709566324,9.03835654250341,9.03835654250341,9.03835654250341,7.6728534999161,7.6728534999161,7.6728534999161,7,7,7,6,6,6,6,6,7,7,7,6.19820409125281,6.19820409125281,6.19820409125281,5,5,5,5,5,5,6,6,6,6,6,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,5.00788180601882,5.00788180601882,6,6,6,7,7,7,6.63007630228807,6.63007630228807,6.63007630228807,7,7,7,6,6,7.35587148110993,7.35587148110993,7.35587148110993,7.37568129500639,7.37568129500639,7.37568129500639,7.90721036900171,7.90721036900171,7.90721036900171,7,7,7,7,7,7,7,7,8,8,7,7,7,6,6,7,7,7,6,6,6,5,5,6,6,6,5.15211906474306,5.15211906474306,6,6,6,5.81988669003999,5.81988669003999,5.72686582868486,5.72686582868486,5.72686582868486,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.739946633953579,0.0187030022488569,1,1,1.63725388306548,2,2.33875708250982,2.33875708250982,3,3,3,3,3,3.46749483057041,3.46749483057041,4,5,5,4.01069859854763,5,5,5,5,5,5.00000000000002,5.00000000000002,5.95625375235959,5.95625375235959,5,5.42262937974089,5.42262937974089,5.14823099319091,5.14823099319091,6,6.00000000000001,6.00000000000001,6,6,6,6,6,6,6,6,6.91479486498983,6.91479486498983,6.83802972671543,6.83802972671543,7,7,7,6,6,null,null,null,null,null,null,null,null,null,null,null,5,5,5.45197093658715,5.45197093658715,6.00000000000001,6.00000000000001,6.00000000000001,6.00000000000002,6.00000000000002,7,7,6.00000000000001,6.00000000000001,5.00000000000002,5.00000000000002,5.00000000000002,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.42466366850326,6.42466366850326,7.90527466403502,7.90527466403502,7.90527466403502,9.40736633768721,9.40736633768721,10,10,10,10,10,10,10.0382570919996,10.0382570919996,11.6218841573329,11.6218841573329,11.6218841573329,13,13,13.84610958816,13.84610958816,13.84610958816,14,14,14,14,14,14.8165284375688,14.8165284375688,14.8165284375688,15,15,15,15.2125062783052,15.2125062783052,15.9332676358689,15.9332676358689,15.9332676358689,16,16,16,16,16,16,17,17,17,17,17,18,18,18,18,18,18,17.6626906898258,17.6626906898258,17.6626906898258,15,15,14.0263154371044,14.0263154371044,14.0263154371044,13,13,13,10.3607709566324,10.3607709566324,10.3607709566324,9.03835654250343,9.03835654250343,9.03835654250343,7.00000000000001,7.00000000000001,7.00000000000001,6.17733279783084,6.17733279783084,6.17733279783084,5.03050411358186,5.03050411358186,6,6,6,6.25772593937794,6.25772593937794,6.25772593937794,5.99999999999999,5.99999999999999,5.99999999999999,5,5,5,5,5,5,5.83727668034767,5.83727668034767,5.83727668034767,5.01203189590649,5.01203189590649,5.14273793936966,5.14273793936966,5.14273793936966,5.99999999999999,5.99999999999999,5.99999999999999,5.53201923462423,5.53201923462423,5.53201923462423,6.00000000000001,6.00000000000001,6.00000000000001,6,6,6,5.00788180601884,5.00788180601884,6,6,6,6.58780631426367,6.58780631426367,6.58780631426367,6,6,6,7.14051877511438,7.14051877511438,7.14051877511438,7,7,7,7,7,8,8,8,7.99999999999998,7.99999999999998,7.99999999999998,7,7,6.99999999999999,6.99999999999999,6.99999999999999,7,7,7,7.99999999999998,7.99999999999998,6.56148777385504,6.56148777385504,6.56148777385504,6.05536386436041,6.05536386436041,6.34655402619604,6.34655402619604,6.34655402619604,5.76776903368618,5.76776903368618,5.76776903368618,6,6,6,6,6,5.84788093525694,5.84788093525694,5.34467384971468,5.34467384971468,5.34467384971468,5,5,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.739946633953571,1,1,1,1.63725388306548,2,2.33875708250981,2.33875708250981,2.99999999999999,3,3,3,3,3.46749483057041,3.46749483057041,4,4.99999999999999,4.99999999999999,5,5,5,5,5,5,5.99999999999999,5.99999999999999,5.95625375235959,5.95625375235959,5,5.42262937974089,5.42262937974089,5.14823099319091,5.14823099319091,6,6.32752238686777,6.32752238686777,6,6,6,6,6,6,6,6,6.91479486498983,6.91479486498983,6,6,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000001,5.00000000000001,6,6,6.6509027368687,6.6509027368687,6.6509027368687,6.99999999999999,6.99999999999999,6.87737555149529,6.87737555149529,6.60489830676504,6.60489830676504,5.99999999999999,5.99999999999999,5.99999999999999,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6.42466366850326,6.42466366850326,7.90527466403502,7.90527466403502,7.90527466403502,8.99999999999999,8.99999999999999,9.93052376033057,9.93052376033057,9.93052376033057,10,10,10,10,10,12,12,12,12.7753205446987,12.7753205446987,12.84610958816,12.84610958816,12.84610958816,14,14,14,14,14,15,15,15,15,15,15,15,15,15.9332676358689,15.9332676358689,15.9332676358689,16,16,16,16,16,16,17,17,17,17,17,18,18,18,18,18,18,17.3253813796516,17.3253813796516,17.3253813796516,15,15,14.0263154371044,14.0263154371044,14.0263154371044,13,13,13,11,11,11,9.5191782712517,9.5191782712517,9.5191782712517,7.6728534999161,7.6728534999161,7.6728534999161,6.99999999999999,6.99999999999999,6.99999999999999,6,6,6,6,6,5.25772593937796,5.25772593937796,5.25772593937796,5.40089795437359,5.40089795437359,5.40089795437359,5.00000000000001,5.00000000000001,5.00000000000001,5.00000000000001,5.00000000000001,5.00000000000001,5.00000000000001,5.00000000000001,5.00000000000001,5.00000000000001,5.00000000000001,5.99999999999999,5.99999999999999,5.99999999999999,5.69754493705113,5.69754493705113,5.69754493705113,5.00000000000001,5.00000000000001,5.00000000000001,6.35983252928748,6.35983252928748,6.35983252928748,6,6,6,5.99999999999999,5.99999999999999,6.00000000000001,6.00000000000001,6.00000000000001,6.58780631426366,6.58780631426366,6.58780631426366,6,6,6,7.14051877511438,7.14051877511438,7.14051877511438,6.89883377299928,6.89883377299928,7,7,7,7.99999999999999,7.99999999999999,7.99999999999999,7.09278963099829,7.09278963099829,7.09278963099829,7,7,6.48096365670649,6.48096365670649,6.48096365670649,7,7,7,7.19655806013348,7.19655806013348,6.43851222614495,6.43851222614495,6.43851222614495,6.05536386436041,6.05536386436041,6.34655402619604,6.34655402619604,6.34655402619604,5.99999999999999,5.99999999999999,5.99999999999999,5.99999999999999,5.99999999999999,6,6,6,5.84788093525694,5.84788093525694,5.99999999999999,5.99999999999999,5.99999999999999,5.18011330996,5.18011330996,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1.97751974538465,2,2,2,3,3,3,3,3.46749483057041,3.46749483057041,4,4,4,4.99999999999997,5,5,5,5,5,5.39014963538707,5.39014963538707,5.95625375235959,5.95625375235959,5,5.42262937974089,5.42262937974089,5.14823099319091,5.14823099319091,6,6,6,6,6,6,6,6,6,6.01658797025148,6.01658797025148,7,7,6,6,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999997,5.99999999999997,5.99999999999998,5.99999999999998,6,6,6,6.12549737540009,6.12549737540009,5.99999999999997,5.99999999999997,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,7,7,8,8,8,8.40736633768724,8.40736633768724,10,10,10,10,10,10,10.0382570919996,10.0382570919996,11.6218841573329,11.6218841573329,11.6218841573329,12.2246794553012,12.2246794553012,13,13,13,14,14,14,14.1426249223685,14.1426249223685,15,15,15,16,16,16,16,16,16,16,16,16,16,16,16,16,16,17.8216660843711,17.8216660843711,18,18,18,17.2632765805041,17.2632765805041,17.2632765805041,18,18,18,16.6626906898258,16.6626906898258,16.6626906898258,15,15,14,14,14,12.9999999999999,12.9999999999999,12.9999999999999,11,11,11,9.00000000000002,9.00000000000002,9.00000000000002,7.67285349991612,7.67285349991612,7.67285349991612,6.17733279783084,6.17733279783084,6.17733279783084,5.96949588641816,5.96949588641816,5.88577932708815,5.88577932708815,5.88577932708815,5.00000000000003,5.00000000000003,5.00000000000003,5.00000000000002,5.00000000000002,5.00000000000002,6,6,6,5.99999999999997,5.99999999999997,5.99999999999997,5.83727668034766,5.83727668034766,5.83727668034766,5.99999999999997,5.99999999999997,5,5,5,5.69754493705113,5.69754493705113,5.69754493705113,6,6,6,6,6,6,5.99999999999999,5.99999999999999,5.99999999999999,5.00788180601885,5.00788180601885,6.79494108638234,6.79494108638234,6.79494108638234,6.00000000000003,6.00000000000003,6.00000000000003,6,6,6,7.14051877511437,7.14051877511437,7.14051877511437,7.89883377299924,7.89883377299924,7.35587148110995,7.35587148110995,7.35587148110995,6.99999999999998,6.99999999999998,6.99999999999998,7.00000000000003,7.00000000000003,7.00000000000003,7.205228965742,7.205228965742,6,6,6,7,7,7,7.8034419398665,7.8034419398665,6,6,6,6,6,5.99999999999998,5.99999999999998,5.99999999999998,5.00000000000003,5.00000000000003,5.00000000000003,5.20878523424032,5.20878523424032,6,6,6,5.99999999999999,5.99999999999999,5.34467384971468,5.34467384971468,5.34467384971468,5.18011330996003,5.18011330996003,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.00000000000006,1,1,1,1.97751974538465,2.00000000000002,2.00000000000002,2.00000000000002,3,3,3,3,3.46749483057041,3.46749483057041,4,4,4,4.01069859854761,5,5,5,5,5,5.3901496353871,5.3901496353871,5.95625375235959,5.95625375235959,4.99999999999998,5.42262937974089,5.42262937974089,5.14823099319091,5.14823099319091,6,6,6,6,6,6,6,6,6,6.01658797025148,6.01658797025148,7.00000000000001,7.00000000000001,5.99999999999995,5.99999999999995,7.00000000000005,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5.45197093658711,5.45197093658711,5.99999999999998,5.99999999999998,5.99999999999998,6.87450262459998,6.87450262459998,4.99999999999999,4.99999999999999,6.00000000000006,6.00000000000006,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999994,5.99999999999994,6.99999999999994,6.99999999999994,7.99999999999995,7.99999999999995,7.99999999999995,8.99999999999997,8.99999999999997,10,10,10,10,10,10,10.0382570919996,10.0382570919996,12,12,12,11.9999999999999,11.9999999999999,12.84610958816,12.84610958816,12.84610958816,13.5143820702887,13.5143820702887,13.5143820702887,14.8573750776316,14.8573750776316,15,15,15,16,16,16,16.7874937216948,16.7874937216948,16,16,16,16,16,16,16.4168983053924,16.4168983053924,16.4168983053924,18.0000000000001,18.0000000000001,18.0000000000001,18.0000000000001,18.0000000000001,17.263276580504,17.263276580504,17.263276580504,18,18,18,16.6626906898258,16.6626906898258,16.6626906898258,14.8485675502993,14.8485675502993,14,14,14,11,11,11,11,11,11,9.51917827125165,9.51917827125165,9.51917827125165,8.34570699983217,8.34570699983217,8.34570699983217,6.82266720216916,6.82266720216916,6.82266720216916,5.96949588641815,5.96949588641815,6.88577932708817,6.88577932708817,6.88577932708817,6,6,6,5.5991020456264,5.5991020456264,5.5991020456264,6.00000000000006,6.00000000000006,6.00000000000006,4.99999999999996,4.99999999999996,4.99999999999996,5.16272331965228,5.16272331965228,5.16272331965228,5,5,4.99999999999999,4.99999999999999,4.99999999999999,5.69754493705113,5.69754493705113,5.69754493705113,6.00000000000003,6.00000000000003,6.00000000000003,6,6,6,5.81985748903805,5.81985748903805,5.81985748903805,6,6,6.79494108638234,6.79494108638234,6.79494108638234,7.00000000000006,7.00000000000006,7.00000000000006,5.99999999999998,5.99999999999998,5.99999999999998,6.99999999999995,6.99999999999995,6.99999999999995,7.10116622700074,7.10116622700074,7.99999999999998,7.99999999999998,7.99999999999998,6.37568129500638,6.37568129500638,6.37568129500638,7.90721036900182,7.90721036900182,7.90721036900182,7.00000000000011,7.00000000000011,6,6,6,6.84927310269751,6.84927310269751,6.84927310269751,7,7,5.99999999999994,5.99999999999994,5.99999999999994,5.99999999999994,5.99999999999994,5.34655402619604,5.34655402619604,5.34655402619604,6.00000000000006,6.00000000000006,6.00000000000006,6,6,6.00000000000004,6.00000000000004,6.00000000000004,5.84788093525694,5.84788093525694,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0187030022488372,1,1,1,1.9775197453846,1.66124291749018,1.66124291749018,1.72119658220509,2.99999999999996,3,3,3,3.46749483057044,3.46749483057044,4,4,4,4.01069859854761,4.99999999999997,4.99999999999997,5,5,5,5,5,6,6,5.2788143842713,5.42262937974089,5.42262937974089,5.14823099319091,5.14823099319091,6,6,6,6,6,6,6,6,6,6,6,6.91479486498983,6.91479486498983,6.83802972671544,6.83802972671544,6.21365161864574,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5.90394187317425,5.90394187317425,6.34909726313132,6.34909726313132,6.34909726313132,6.12549737540006,6.12549737540006,5.12262444850474,5.12262444850474,5.00000000000005,5.00000000000005,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.96592452379364,6.96592452379364,8,8,8.90527466403502,8.90527466403502,8.90527466403502,9.59263366231275,9.59263366231275,9.99999999999995,9.99999999999995,9.99999999999995,10,10,10,10.0382570919996,10.0382570919996,11.6218841573329,11.6218841573329,11.6218841573329,13,13,12,12,12,13,13,13,14,14,15,15,15,16,16,16,17,17,16.0667323641311,16.0667323641311,16.0667323641311,16,16,16,16.4168983053924,16.4168983053924,16.4168983053924,17,17,17,17,17,18,18,18,17.4678631530612,17.4678631530612,17.4678631530612,16.3253813796515,16.3253813796515,16.3253813796515,14.8485675502993,14.8485675502993,14,14,14,11.1967682601254,11.1967682601254,11.1967682601254,11,11,11,10.5191782712517,10.5191782712517,10.5191782712517,8.6728534999161,8.6728534999161,8.6728534999161,7,7,7,6.00000000000005,6.00000000000005,6.11422067291182,6.11422067291182,6.11422067291182,5.99999999999999,5.99999999999999,5.99999999999999,5.59910204562642,5.59910204562642,5.59910204562642,5.00000000000003,5.00000000000003,5.00000000000003,5.6897885135975,5.6897885135975,5.6897885135975,5.83727668034764,5.83727668034764,5.83727668034764,5.00000000000005,5.00000000000005,5.14273793936968,5.14273793936968,5.14273793936968,5.69754493705113,5.69754493705113,5.69754493705113,5.53201923462422,5.53201923462422,5.53201923462422,5.99999999999997,5.99999999999997,5.99999999999997,5.99999999999996,5.99999999999996,5.99999999999996,6,6,6.7949410863823,6.7949410863823,6.7949410863823,6,6,6,6.36992369771198,6.36992369771198,6.36992369771198,7.85948122488558,7.85948122488558,7.85948122488558,7,7,8.35587148110989,8.35587148110989,8.35587148110989,6.62431870499363,6.62431870499363,6.62431870499363,6.09278963099829,6.09278963099829,6.09278963099829,5.20522896574205,5.20522896574205,5.99999999999995,5.99999999999995,5.99999999999995,7,7,7,7,7,7,7,7,6.99999999999995,6.99999999999995,5.34655402619607,5.34655402619607,5.34655402619607,5.00000000000001,5.00000000000001,5.00000000000001,5.99999999999995,5.99999999999995,5.32991696690545,5.32991696690545,5.32991696690545,5.8478809352569,5.8478809352569,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0187030022488372,1,1,0.999999999999974,0.999999999999999,1.66124291749018,1.66124291749018,1.72119658220506,2.12506640616502,3,3,3,4,4,4,4.00000000000002,4.00000000000002,4.01069859854765,4.42931262611002,4.42931262611002,5,5,5,5,5,5.99999999999996,5.99999999999996,5.2788143842713,5.42262937974089,5.42262937974089,5.1482309931909,5.1482309931909,6,6,6,6,6,6,6,6,6,6,6,6.91479486498979,6.91479486498979,6.83802972671542,6.83802972671542,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000003,5.00000000000003,5.45197093658715,5.45197093658715,7,7,7,6.00000000000003,6.00000000000003,5.8773755514953,5.8773755514953,5.99999999999998,5.99999999999998,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.96592452379364,6.96592452379364,8,8,8.99999999999999,8.99999999999999,8.99999999999999,9.00000000000002,9.00000000000002,9.00000000000004,9.00000000000004,9.00000000000004,10.4743081938251,10.4743081938251,10.4743081938251,10,10,11,11,11,12.2246794553012,12.2246794553012,12.1538904118401,12.1538904118401,12.1538904118401,13,13,13,14,14,15,15,15,15.5067042003129,15.5067042003129,15.5067042003129,16.2125062783052,16.2125062783052,17,17,17,17,17,17,17,17,17,18,18,18,18,18,18,18,18,18,18,18,16,16,16,14.8485675502993,14.8485675502993,14,14,14,11,11,11,11,11,11,10,10,10,8.6728534999161,8.6728534999161,8.6728534999161,6.99999999999999,6.99999999999999,6.99999999999999,6.99999999999996,6.99999999999996,5.11422067291191,5.11422067291191,5.11422067291191,5.74227406062205,5.74227406062205,5.74227406062205,5.99999999999996,5.99999999999996,5.99999999999996,5.5446235034894,5.5446235034894,5.5446235034894,5.99999999999999,5.99999999999999,5.99999999999999,5,5,5,5.98796810409351,5.98796810409351,5.85726206063036,5.85726206063036,5.85726206063036,5.6975449370511,5.6975449370511,5.6975449370511,5.00000000000002,5.00000000000002,5.00000000000002,5.35983252928751,5.35983252928751,5.35983252928751,5.18014251096194,5.18014251096194,5.18014251096194,6,6,6,6,6,6.00000000000002,6.00000000000002,6.00000000000002,7.36992369771192,7.36992369771192,7.36992369771192,7,7,7,6.99999999999996,6.99999999999996,7.71174296221986,7.71174296221986,7.71174296221986,6.99999999999998,6.99999999999998,6.99999999999998,6.09278963099829,6.09278963099829,6.09278963099829,6,6,5.00000000000004,5.00000000000004,5.00000000000004,7,7,7,7,7,7,7,7,6.05536386436045,6.05536386436045,6.00000000000004,6.00000000000004,6.00000000000004,5.23223096631385,5.23223096631385,5.23223096631385,5.00000000000001,5.00000000000001,5.67008303309458,5.67008303309458,5.67008303309458,5.00000000000003,5.00000000000003,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0187030022488361,0.99999999999994,0.99999999999994,0.362746116934532,0.977519745384655,1.6612429174902,1.6612429174902,1.00000000000002,2.12506640616502,3,3,3,4,4,4,4.47363834360303,4.47363834360303,4.98930140145233,4,4,5,5,5,5,5,5.04374624764041,5.04374624764041,5.2788143842713,5.42262937974089,5.42262937974089,5,5,5.8981352189007,6,6,6,6,6,6,6.00000000000006,6.00000000000006,6,6,6,6,6.16197027328461,6.16197027328461,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.72216649487637,5.72216649487637,5.90394187317431,5.90394187317431,7,7,7,6.87450262459988,6.87450262459988,6,6,5.39510169323495,5.39510169323495,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,7.99999999999998,7.99999999999998,8.90527466403497,8.90527466403497,8.90527466403497,9.4073663376872,9.4073663376872,9.99999999999999,9.99999999999999,9.99999999999999,10.4743081938251,10.4743081938251,10.4743081938251,10.9617429080004,10.9617429080004,11,11,11,12,12,13,13,13,13,13,13,14,14,14.8165284375688,14.8165284375688,14.8165284375688,15.5067042003129,15.5067042003129,15.5067042003129,16.2125062783053,16.2125062783053,17,17,17,17,17,17,17.9999999999999,17.9999999999999,17.9999999999999,18,18,18,18,18,18,18,18,17.5321368469389,17.5321368469389,17.5321368469389,16.6626906898258,16.6626906898258,16.6626906898258,14,14,13.0263154371044,13.0263154371044,13.0263154371044,11,11,11,10.3607709566323,10.3607709566323,10.3607709566323,10,10,10,8.67285349991609,8.67285349991609,8.67285349991609,6.82266720216918,6.82266720216918,6.82266720216918,6,6,6,6,6,5.99999999999994,5.99999999999994,5.99999999999994,5.00000000000002,5.00000000000002,5.00000000000002,5.00000000000003,5.00000000000003,5.00000000000003,5.68978851359746,5.68978851359746,5.68978851359746,5,5,5,5.98796810409352,5.98796810409352,6,6,6,5.00000000000002,5.00000000000002,5.00000000000002,5.46798076537579,5.46798076537579,5.46798076537579,6,6,6,5.18014251096194,5.18014251096194,5.18014251096194,5.99211819398118,5.99211819398118,6,6,6,6.58780631426367,6.58780631426367,6.58780631426367,7,7,7,7,7,7,6.10116622700079,6.10116622700079,7.71174296221987,7.71174296221987,7.71174296221987,6.62431870499363,6.62431870499363,6.62431870499363,6.00000000000001,6.00000000000001,6.00000000000001,6.00000000000001,6.00000000000001,6,6,6,7.15072689730247,7.15072689730247,7.15072689730247,6.99999999999999,6.99999999999999,6.99999999999997,6.99999999999997,6.99999999999997,6.94463613563953,6.94463613563953,6.99999999999994,6.99999999999994,6.99999999999994,5.76776903368614,5.76776903368614,5.76776903368614,5.20878523424035,5.20878523424035,5.99999999999998,5.99999999999998,5.99999999999998,5.84788093525695,5.84788093525695,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.637253883065484,1,2,2,1.27880341779495,2.12506640616501,2.99999999999997,2.99999999999997,3,3.99999999999997,3.99999999999997,4,4,4,4,4,4,4.99999999999995,4.99999999999995,5,5,5,5.04374624764041,5.04374624764041,5.2788143842713,5.42262937974089,5.42262937974089,5.00000000000005,5.00000000000005,5.8981352189007,6,6,6.00000000000003,6.00000000000003,6,6,7,7,6,6,6,6,7,7,6,5.00000000000006,5.00000000000006,null,null,null,null,null,null,null,null,null,null,null,5,5,5.72216649487633,5.72216649487633,6.45197093658714,6.45197093658714,6.99999999999994,6.99999999999994,6.99999999999994,6.00000000000006,6.00000000000006,6,6,5.39510169323495,5.39510169323495,5.50000000000001,5.50000000000001,5.50000000000001,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.57533633149671,7.57533633149671,8,8,8,8.99999999999996,8.99999999999996,9.93052376033057,9.93052376033057,9.93052376033057,10.4743081938251,10.4743081938251,10.4743081938251,11,11,11.0000000000001,11.0000000000001,11.0000000000001,12.2246794553013,12.2246794553013,13,13,13,13,13,13,14,14,14.1834715624312,14.1834715624312,14.1834715624312,15.5067042003129,15.5067042003129,15.5067042003129,17,17,17,17,17,17,17,17,17,17,17,18,18,18,18,18,18.2632765805041,18.2632765805041,18.2632765805041,18.4678631530612,18.4678631530612,18.4678631530612,16.6626906898258,16.6626906898258,16.6626906898258,14,14,13.0263154371044,13.0263154371044,13.0263154371044,11,11,11,10,10,10,10,10,10,8.67285349991609,8.67285349991609,8.67285349991609,7,7,7,6,6,6,6,6,5,5,5,5.40089795437357,5.40089795437357,5.40089795437357,5.54462350348939,5.54462350348939,5.54462350348939,5.3102114864025,5.3102114864025,5.3102114864025,5,5,5,6,6,6,6,6,5.30245506294891,5.30245506294891,5.30245506294891,5.99999999999997,5.99999999999997,5.99999999999997,6,6,6,5.18014251096199,5.18014251096199,5.18014251096199,6,6,6,6,6,6.58780631426367,6.58780631426367,6.58780631426367,6.99999999999998,6.99999999999998,6.99999999999998,7,7,7,6.99999999999999,6.99999999999999,7.99999999999996,7.99999999999996,7.99999999999996,7,7,7,6.09278963099829,6.09278963099829,6.09278963099829,6.205228965742,6.205228965742,6,6,6,7,7,7,6.80344193986654,6.80344193986654,6.56148777385507,6.56148777385507,6.56148777385507,6.05536386436041,6.05536386436041,6,6,6,5.23223096631387,5.23223096631387,5.23223096631387,5.99999999999994,5.99999999999994,5.67008303309455,5.67008303309455,5.67008303309455,5.99999999999994,5.99999999999994,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.637253883065484,1,2,2,2,2.00000000000001,2.55059187453324,2.55059187453324,3,3.46749483057039,3.46749483057039,3.99999999999994,4,4,4,4,4,4.15380012359838,4.15380012359838,5,5,5,5.0437462476404,5.0437462476404,5.27881438427128,5.42262937974089,5.42262937974089,5.85176900680909,5.85176900680909,5.8981352189007,6,6,6.47138399856121,6.47138399856121,6,6,6.99999999999999,6.99999999999999,6,6,6,6,7,7,6,6,6,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,6.45197093658714,6.45197093658714,6.00000000000002,6.00000000000002,6.00000000000002,6.99999999999999,6.99999999999999,6.00000000000001,6.00000000000001,5.39510169323502,5.39510169323502,5.6917470071351,5.6917470071351,5.6917470071351,5.00000000000006,5.00000000000006,null,null,null,null,null,null,null,null,null,null,6,6,7,7,8,8,8,8.40736633768726,8.40736633768726,9.93052376033057,9.93052376033057,9.93052376033057,10.4743081938251,10.4743081938251,10.4743081938251,11,11,12.0000000000001,12.0000000000001,12.0000000000001,12.7753205446988,12.7753205446988,12.9999999999999,12.9999999999999,12.9999999999999,13.5143820702886,13.5143820702886,13.5143820702886,14,14,15,15,15,15.5067042003129,15.5067042003129,15.5067042003129,17,17,16.9999999999999,16.9999999999999,16.9999999999999,16.3316992475255,16.3316992475255,16.3316992475255,17.0000000000001,17.0000000000001,17.0000000000001,18,18,18.0000000000001,18.0000000000001,18.0000000000001,18.7367234194959,18.7367234194959,18.7367234194959,18.4678631530611,18.4678631530611,18.4678631530611,16.6626906898257,16.6626906898257,16.6626906898257,14,14,13.0263154371043,13.0263154371043,13.0263154371043,11,11,11,9.99999999999998,9.99999999999998,9.99999999999998,9.99999999999994,9.99999999999994,9.99999999999994,8.6728534999161,8.6728534999161,8.6728534999161,6.99999999999994,6.99999999999994,6.99999999999994,6,6,5.99999999999999,5.99999999999999,5.99999999999999,5,5,5,5.00000000000006,5.00000000000006,5.00000000000006,5.00000000000003,5.00000000000003,5.00000000000003,5.00000000000006,5.00000000000006,5.00000000000006,5.00000000000006,5.00000000000006,5.00000000000006,6,6,5.99999999999995,5.99999999999995,5.99999999999995,6,6,6,5.46798076537573,5.46798076537573,5.46798076537573,6,6,6,5.99999999999999,5.99999999999999,5.99999999999999,6,6,6,6,6,6.58780631426366,6.58780631426366,6.58780631426366,6.63007630228807,6.63007630228807,6.63007630228807,7,7,7,6.89883377299933,6.89883377299933,7.35587148110997,7.35587148110997,7.35587148110997,7,7,7,5.99999999999994,5.99999999999994,5.99999999999994,6.20522896574198,6.20522896574198,5.99999999999997,5.99999999999997,5.99999999999997,6.99999999999995,6.99999999999995,6.99999999999995,7,7,7,7,7,6,6,6.00000000000002,6.00000000000002,6.00000000000002,6,6,6,5,5,5.32991696690544,5.32991696690544,5.32991696690544,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.637253883065484,1,2,2,2,2.12506640616502,3,3,3,3,3,3,4.00000000000002,4.00000000000002,4.00000000000002,4,4,4.15380012359838,4.15380012359838,5,5,5,5,5,4.99999999999998,5.4226293797409,5.4226293797409,5.85176900680909,5.85176900680909,5.8981352189007,6,6,6,6,5.99999999999998,5.99999999999998,6.85665986896477,6.85665986896477,6,6,6,6,7,7,6,6,6,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,6.45197093658716,6.45197093658716,6.3490972631313,6.3490972631313,6.3490972631313,6.87450262459994,6.87450262459994,6.12262444850468,6.12262444850468,6.60489830676505,6.60489830676505,5.69174700713509,5.69174700713509,5.69174700713509,6,6,6,6,null,null,null,null,null,null,null,null,null,null,7.00000000000001,7.00000000000001,8,8,8,9.00000000000002,9.00000000000002,9.93052376033059,9.93052376033059,9.93052376033059,11,11,11,11.0382570919996,11.0382570919996,13,13,13,13,13,11.15389041184,11.15389041184,11.15389041184,13,13,13,14,14,15,15,15,16,16,16,16.2125062783052,16.2125062783052,16,16,16,16.6683007524745,16.6683007524745,16.6683007524745,18.4168983053924,18.4168983053924,18.4168983053924,18.1783339156289,18.1783339156289,19,19,19,19,19,19,18,18,18,15.6626906898258,15.6626906898258,15.6626906898258,13.8485675502994,13.8485675502994,11.0263154371044,11.0263154371044,11.0263154371044,10.1967682601254,10.1967682601254,10.1967682601254,9.63922904336766,9.63922904336766,9.63922904336766,9,9,9,8.67285349991609,8.67285349991609,8.67285349991609,5.99999999999998,5.99999999999998,5.99999999999998,6,6,5.88577932708814,5.88577932708814,5.88577932708814,4.99999999999999,4.99999999999999,4.99999999999999,6,6,6,5.45537649651056,5.45537649651056,5.45537649651056,6.00000000000001,6.00000000000001,6.00000000000001,6,6,6,6,6,5.14273793936965,5.14273793936965,5.14273793936965,6,6,6,5,5,5,6,6,6,5.81985748903808,5.81985748903808,5.81985748903808,6.00000000000002,6.00000000000002,6,6,6,6.41219368573633,6.41219368573633,6.41219368573633,6.63007630228807,6.63007630228807,6.63007630228807,7.00000000000002,7.00000000000002,7.00000000000002,8,8,7.99999999999999,7.99999999999999,7.99999999999999,7.00000000000001,7.00000000000001,7.00000000000001,4.99999999999998,4.99999999999998,4.99999999999998,5.794771034258,5.794771034258,5.4809636567065,5.4809636567065,5.4809636567065,6.15072689730248,6.15072689730248,6.15072689730248,7,7,7,7,7,6,6,6.34655402619605,6.34655402619605,6.34655402619605,null,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.637253883065484,1,2,2,2,2.12506640616502,3,3,3,3,3,3,3,3,3.01069859854761,4,4,4,4,4.76022644416094,5,5,5,5,5.72118561572871,5,5,5.85176900680909,5.85176900680909,5.8981352189007,6,6,6,6,6.70503007322885,6.70503007322885,6,6,6,6,6,6,7,7,6,6,6,6,6,6,6,6,null,null,null,null,null,null,5.12859736744321,5.12859736744321,5,5,5.45197093658714,5.45197093658714,6,6,6,6.87450262459994,6.87450262459994,7,7,6.39510169323495,6.39510169323495,6.6917470071351,6.6917470071351,6.6917470071351,6,6,6,6,null,null,null,null,null,null,null,null,null,null,6.42466366850326,6.42466366850326,7.90527466403502,7.90527466403502,7.90527466403502,8,8,9,9,9,11.4743081938251,11.4743081938251,11.4743081938251,11.0382570919996,11.0382570919996,13,13,13,12.7753205446988,12.7753205446988,12,12,12,14,14,14,14.1426249223684,14.1426249223684,15,15,15,16,16,16,16,16,16,16,16,17,17,17,18.4168983053924,18.4168983053924,18.4168983053924,19,19,19,19,19,19.2632765805041,19.2632765805041,19.2632765805041,18,18,18,15.6626906898258,15.6626906898258,15.6626906898258,12.8485675502993,12.8485675502993,11.0263154371044,11.0263154371044,11.0263154371044,10.1967682601254,10.1967682601254,10.1967682601254,9,9,9,9,9,9,9,9,9,6.82266720216917,6.82266720216917,6.82266720216917,6,6,5,5,5,5.25772593937796,5.25772593937796,5.25772593937796,6,6,6,6,6,6,5.31021148640252,5.31021148640252,5.31021148640252,6,6,6,5.98796810409351,5.98796810409351,5,5,5,6,6,6,5,5,5,6,6,6,5,5,5,5,5,6,6,6,6.41219368573633,6.41219368573633,6.41219368573633,6.36992369771193,6.36992369771193,6.36992369771193,6.14051877511438,6.14051877511438,6.14051877511438,8,8,8.35587148110993,8.35587148110993,8.35587148110993,6.62431870499361,6.62431870499361,6.62431870499361,5.90721036900171,5.90721036900171,5.90721036900171,5.20522896574201,5.20522896574201,5,5,5,6.15072689730248,6.15072689730248,6.15072689730248,7,7,7,7,7,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.637253883065484,1.97751974538465,2,2,2,3,3,3,3,3,3,3,3,3,3,3.57068737388997,3.57068737388997,4,4,4.76022644416094,5,5,5,5,5.72118561572871,5,5,5.85176900680909,5.85176900680909,5.8981352189007,6,6,6,6,6,6,6,6,6,6,6,6,6.83802972671544,6.83802972671544,6,6,6,6,6,6,6,6,null,null,null,null,null,null,5.12859736744321,5.12859736744321,6,6,6.54802906341286,6.54802906341286,6.34909726313129,6.34909726313129,6.34909726313129,6,6,7,7,6.60489830676505,6.60489830676505,5.3082529928649,5.3082529928649,5.3082529928649,7,7,null,null,null,null,null,null,null,null,null,null,null,null,6.84932733700651,6.84932733700651,7.90527466403502,7.90527466403502,7.90527466403502,8.18526732462556,8.18526732462556,null,null,null,10.4743081938251,10.4743081938251,10.4743081938251,12.0382570919996,12.0382570919996,13.6218841573329,13.6218841573329,13.6218841573329,13.7753205446988,13.7753205446988,13.84610958816,13.84610958816,13.84610958816,14,14,14,15,15,16,16,16,15,15,15,16,16,16,16,16,17,17,17,18,18,18,19,19,19,19,19,20,20,20,17.4678631530612,17.4678631530612,17.4678631530612,15.3253813796516,15.3253813796516,15.3253813796516,12,12,11.0263154371044,11.0263154371044,11.0263154371044,10,10,10,9,9,9,9,9,9,8.34570699983219,8.34570699983219,8.34570699983219,6,6,6,6,6,6,6,6,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,5,5,5,5,5,6,6,6,6,6,6,5,5,5,5,5,5,5,5,6,6,6,5.58780631426367,5.58780631426367,5.58780631426367,7,7,7,6,6,6,7,7,8,8,8,6.62431870499361,6.62431870499361,6.62431870499361,6.90721036900171,6.90721036900171,6.90721036900171,5,5,6,6,6,6.15072689730248,6.15072689730248,6.15072689730248,7,7,7,7,7,7,7,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.317726584013978,0.317726584013978,1.63725388306548,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3.57068737388997,3.57068737388997,4,4,4.76022644416094,5,5,5,5,5,5,5,5.85176900680909,5.85176900680909,5,5.67247761313223,5.67247761313223,6,6,6.70503007322885,6.70503007322885,6,6,6,6,6,6,6.83802972671544,6.83802972671544,6,6,6,6,6,5.78215686223855,5.78215686223855,5.78215686223855,null,null,null,null,null,null,6,6,6,6,7,7,7,7,7,6,6,7,7,6,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,6.42466366850326,6.42466366850326,8,8,8,9,9,7,7,7,9.94861638765014,9.94861638765014,9.94861638765014,12,12,13.6218841573329,13.6218841573329,13.6218841573329,13.7753205446988,13.7753205446988,13,13,13,14.4856179297114,14.4856179297114,14.4856179297114,14.1426249223684,14.1426249223684,15,15,15,15.5067042003129,15.5067042003129,15.5067042003129,16,16,16.9332676358689,16.9332676358689,16.9332676358689,17,17,17,18,18,18,19,19,19.951862955957,19.951862955957,19.951862955957,19.2632765805041,19.2632765805041,19.2632765805041,16.9357263061223,16.9357263061223,16.9357263061223,14.3253813796516,14.3253813796516,14.3253813796516,12,12,10,10,10,10,10,10,9,9,9,9,9,9,8.6728534999161,8.6728534999161,8.6728534999161,6.17733279783083,6.17733279783083,6.17733279783083,6,6,5.11422067291187,5.11422067291187,5.11422067291187,6,6,6,6,6,6,6,6,6,5.68978851359748,5.68978851359748,5.68978851359748,6,6,6,6,6,5.85726206063035,5.85726206063035,5.85726206063035,5.30245506294887,5.30245506294887,5.30245506294887,5,5,5,6,6,6,5,5,5,5.99211819398118,5.99211819398118,5.79494108638234,5.79494108638234,5.79494108638234,5.58780631426367,5.58780631426367,5.58780631426367,6,6,6,6,6,6,6.89883377299927,6.89883377299927,8.35587148110993,8.35587148110993,8.35587148110993,7.62431870499361,7.62431870499361,7.62431870499361,6.90721036900171,6.90721036900171,6.90721036900171,6,6,6,6,6,7,7,7,6.80344193986653,6.80344193986653,7,7,7,6.94463613563959,6.94463613563959,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0.317726584013978,0.317726584013978,1.63725388306548,2,2,2,2,2,2,2,2,2.46749483057041,2.46749483057041,3,3,3,3,3.57068737388997,3.57068737388997,4,4,4,5,5,5,5,5.72118561572871,5,5,6,6,5.1018647810993,5.67247761313223,5.67247761313223,6,6,6.29496992677115,6.29496992677115,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,null,null,null,null,null,null,5,5,6,6,7,7,6.34909726313129,6.34909726313129,6.34909726313129,6,6,6,6,5.39510169323495,5.39510169323495,null,null,null,5,5,null,null,null,null,null,null,null,null,null,null,6,6,7,7,8,8,8,8.81473267537444,8.81473267537444,null,null,null,null,null,null,10.0382570919996,10.0382570919996,12.6218841573329,12.6218841573329,12.6218841573329,13.2246794553012,13.2246794553012,13,13,13,14,14,14,15,15,15,15,15,16,16,16,16.2125062783052,16.2125062783052,16,16,16,17.336601504949,17.336601504949,17.336601504949,18,18,18,19,19,20,20,20,19,19,19,16.4678631530612,16.4678631530612,16.4678631530612,13.3253813796516,13.3253813796516,13.3253813796516,10,10,10,10,10,9.1967682601254,9.1967682601254,9.1967682601254,9,9,9,9,9,9,7.6728534999161,7.6728534999161,7.6728534999161,6,6,6,6.96949588641816,6.96949588641816,6,6,6,6,6,6,6,6,6,6,6,6,5.31021148640252,5.31021148640252,5.31021148640252,6,6,6,6,6,6,6,6,5,5,5,5.46798076537576,5.46798076537576,5.46798076537576,6.64016747071252,6.64016747071252,6.64016747071252,6,6,6,6,6,5,5,5,6,6,6,6.36992369771193,6.36992369771193,6.36992369771193,6.14051877511438,6.14051877511438,6.14051877511438,6,6,8,8,8,7,7,7,6.90721036900171,6.90721036900171,6.90721036900171,6,6,6,6,6,7,7,7,6,6,7,7,7,6,6,6.34655402619604,6.34655402619604,6.34655402619604,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,0,null,0,0,0,0,0,0,0.317726584013946,0.317726584013946,1.63725388306538,1.9999999999999,1.33875708250982,1.33875708250982,2,2,2,2,2,2.46749483057041,2.46749483057041,3,3,3,4,4,4,4,4,4.76022644416094,5,5,5,5,5.7211856157287,5,5,5.99999999999991,5.99999999999991,6,5.67247761313222,5.67247761313222,6,6,6.29496992677115,6.29496992677115,6,6,6,6,6,6,6.00000000000008,6.00000000000008,6.21365161864575,6,6,6,6,5.0000000000001,5.0000000000001,5.0000000000001,null,null,null,null,null,null,5.12859736744321,5.12859736744321,6,6,6.45197093658705,6.45197093658705,6.34909726313126,6.34909726313126,6.34909726313126,6,6,5.8773755514953,5.8773755514953,5,5,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6,6,7.00000000000004,7.00000000000004,7.90527466403503,7.90527466403503,7.90527466403503,8.49999999999997,8.49999999999997,null,null,null,null,null,null,null,null,11.2437683146657,11.2437683146657,11.2437683146657,12,12,12.9999999999999,12.9999999999999,12.9999999999999,13,13,13,14.1426249223684,14.1426249223684,15,15,15,15.4932957996871,15.4932957996871,15.4932957996871,15.2125062783053,15.2125062783053,16,16,16,16.9999999999999,16.9999999999999,16.9999999999999,17,17,17,18.9999999999999,18.9999999999999,19,19,19,19,19,19,17,17,17,12.6507627593032,12.6507627593032,12.6507627593032,8.84856755029925,8.84856755029925,7.97368456289551,7.97368456289551,7.97368456289551,8.00000000000006,8.00000000000006,8.00000000000006,7.36077095663238,7.36077095663238,7.36077095663238,8.48082172874819,8.48082172874819,8.48082172874819,8,8,8,7.82266720216917,7.82266720216917,7.82266720216917,6.9999999999999,6.9999999999999,7,7,7,6,6,6,5.40089795437365,5.40089795437365,5.40089795437365,5.54462350348942,5.54462350348942,5.54462350348942,5.31021148640256,5.31021148640256,5.31021148640256,5.8372766803476,5.8372766803476,5.8372766803476,5,5,5.00000000000001,5.00000000000001,5.00000000000001,5,5,5,5.0000000000001,5.0000000000001,5.0000000000001,6,6,6,5,5,5,5.99211819398108,5.99211819398108,5.99999999999998,5.99999999999998,5.99999999999998,6,6,6,6.36992369771199,6.36992369771199,6.36992369771199,6.85948122488564,6.85948122488564,6.85948122488564,6.00000000000001,6.00000000000001,7.00000000000006,7.00000000000006,7.00000000000006,7.00000000000002,7.00000000000002,7.00000000000002,6.90721036900162,6.90721036900162,6.90721036900162,5.99999999999992,5.99999999999992,6,6,6,6,6,6,6,6,6,6,6,6.94463613563959,6.94463613563959,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0.637253883065484,1,1.33875708250982,1.33875708250982,2,1.99999999999998,1.99999999999999,1.99999999999999,2,2.46749483057041,2.46749483057041,3,3,3,3.99999999999998,4,4,4,4,4.76022644416093,5,5,5,5,5.72118561572871,5,5,5.14823099319091,5.14823099319091,6,5.67247761313222,5.67247761313222,6,6,6.29496992677114,6.29496992677114,6.00000000000002,6.00000000000002,6,6,6,6,6.83802972671541,6.83802972671541,6.21365161864575,6,6,6,6,null,null,null,null,null,null,null,null,null,5.12859736744323,5.12859736744323,5.99999999999999,5.99999999999999,5.54802906341287,5.54802906341287,6.00000000000001,6.00000000000001,6.00000000000001,6,6,5.8773755514953,5.8773755514953,5.00000000000002,5.00000000000002,null,null,null,null,null,null,null,null,null,null,5.49999999999999,5.49999999999999,6,6,6,6.00000000000002,6.00000000000002,7.42466366850327,7.42466366850327,8,8,8,8.22209901306169,8.22209901306169,null,null,null,null,null,null,null,null,10,10,10,11.9999999999999,11.9999999999999,12,12,12,13,13,13,14.1426249223684,14.1426249223684,14.8165284375688,14.8165284375688,14.8165284375688,15,15,15,16,16,16,16,16,16,16,16,17,17,17,18,18,19,19,19,19,19,19,17,17,17,13.3253813796516,13.3253813796516,13.3253813796516,8.00000000000002,8.00000000000002,7.00000000000002,7.00000000000002,7.00000000000002,8.60646347974913,8.60646347974913,8.60646347974913,7.63922904336761,7.63922904336761,7.63922904336761,7.48082172874829,7.48082172874829,7.48082172874829,7.99999999999999,7.99999999999999,7.99999999999999,7.82266720216916,7.82266720216916,7.82266720216916,6.00000000000004,6.00000000000004,7,7,7,6,6,6,5.99999999999999,5.99999999999999,5.99999999999999,5.45537649651057,5.45537649651057,5.45537649651057,5.68978851359749,5.68978851359749,5.68978851359749,5.00000000000002,5.00000000000002,5.00000000000002,5,5,5.14273793936964,5.14273793936964,5.14273793936964,5.00000000000001,5.00000000000001,5.00000000000001,6,6,6,5.99999999999998,5.99999999999998,5.99999999999998,5,5,5,5.00788180601882,5.00788180601882,5.79494108638233,5.79494108638233,5.79494108638233,6.00000000000001,6.00000000000001,6.00000000000001,6.99999999999999,6.99999999999999,6.99999999999999,6.99999999999998,6.99999999999998,6.99999999999998,6.10116622700075,6.10116622700075,7.64412851889005,7.64412851889005,7.64412851889005,7.24863740998721,7.24863740998721,7.24863740998721,6,6,6,5.20522896574202,5.20522896574202,null,null,null,6,6,6,6,6,6,6,6,6.94463613563957,6.94463613563957,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0.637253883065484,0.999999999999961,1.33875708250982,1.33875708250982,2,1,1.55059187453321,1.55059187453321,2,2.46749483057041,2.46749483057041,3,3,3,3.01069859854761,4,4,4,4,4,5,5,5,5,5.72118561572871,5.00000000000002,5.00000000000002,5.14823099319091,5.14823099319091,6,5.67247761313221,5.67247761313221,6,6,6,6,6.85665986896475,6.85665986896475,6,6,6,6,5.00000000000004,5.00000000000004,6,null,null,6,6,null,null,null,null,null,null,null,null,null,5.87140263255675,5.87140263255675,5.72216649487634,5.72216649487634,6,6,6.65090273686868,6.65090273686868,6.65090273686868,5.99999999999996,5.99999999999996,6,6,6,6,null,null,null,null,null,null,null,5.49999999999999,5.49999999999999,5.49999999999999,5.11550836749023,5.11550836749023,6.00000000000002,6.00000000000002,6.00000000000002,6.96592452379368,6.96592452379368,8,8,8,8,8,9.81473267537442,9.81473267537442,8.99999999999996,8.99999999999996,8.99999999999996,null,null,null,null,null,null,null,null,9.2246794553012,9.2246794553012,9.99999999999996,9.99999999999996,9.99999999999996,11.4856179297113,11.4856179297113,11.4856179297113,13,13,14,14,14,15,15,15,16,16,15,15,15,16,16,16,16,16,16,17.1783339156289,17.1783339156289,18.951862955957,18.951862955957,18.951862955957,19,19,19,16,16,16,14.6626906898258,14.6626906898258,14.6626906898258,8.84856755029933,8.84856755029933,8.02631543710439,8.02631543710439,8.02631543710439,5.19676826012543,5.19676826012543,5.19676826012543,5.99999999999999,5.99999999999999,5.99999999999999,7.48082172874829,7.48082172874829,7.48082172874829,7.32714650008389,7.32714650008389,7.32714650008389,7.17733279783086,7.17733279783086,7.17733279783086,7.96949588641816,7.96949588641816,6.99999999999996,6.99999999999996,6.99999999999996,6,6,6,5.40089795437359,5.40089795437359,5.40089795437359,5.00000000000002,5.00000000000002,5.00000000000002,5.99999999999997,5.99999999999997,5.99999999999997,5.99999999999996,5.99999999999996,5.99999999999996,5.01203189590648,5.01203189590648,5.00000000000001,5.00000000000001,5.00000000000001,5.30245506294889,5.30245506294889,5.30245506294889,6,6,6,5.00000000000001,5.00000000000001,5.00000000000001,5.00000000000004,5.00000000000004,5.00000000000004,5.00000000000004,5.00000000000004,5.20505891361769,5.20505891361769,5.20505891361769,6.41219368573632,6.41219368573632,6.41219368573632,6.36992369771192,6.36992369771192,6.36992369771192,6.14051877511437,6.14051877511437,6.14051877511437,6.89883377299927,6.89883377299927,6.64412851889004,6.64412851889004,6.64412851889004,6.99999999999998,6.99999999999998,6.99999999999998,6,6,6,6,6,null,null,null,null,null,null,null,null,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,null,null,null,null,2.00728322852231e-14,2.00728322852231e-14,5.22000760185754e-15,0,0,0,0.637253883065484,0.0224802546153661,1.33875708250981,1.33875708250981,1.99999999999999,1,1.55059187453321,1.55059187453321,2,2.46749483057041,2.46749483057041,3,3,3,3.01069859854761,4,4,4,4,4,5,5,5,5,5.72118561572871,5.57737062025911,5.57737062025911,5.14823099319091,5.14823099319091,6,5.32752238686777,5.32752238686777,5.99999999999999,5.99999999999999,6,6,6.85665986896475,6.85665986896475,6,6,6,6,6,6,6,null,null,5.99999999999998,5.99999999999998,null,null,null,null,null,null,null,null,null,5,5,5.00000000000001,5.00000000000001,6,6,6,6,6,5.12549737540008,5.12549737540008,5.87737555149528,5.87737555149528,6,6,null,null,null,null,null,null,null,5.27550390441899,5.27550390441899,5.27550390441899,5.99999999999998,5.99999999999998,6.52942475003528,6.52942475003528,6.52942475003528,7.96592452379364,7.96592452379364,7.99999999999999,7.99999999999999,8,8,8,9.40736633768722,9.40736633768722,8.1389524793389,8.1389524793389,8.1389524793389,null,null,null,null,null,null,null,null,8,8,9,9,9,11,11,11,12.1426249223684,12.1426249223684,13,13,13,14.5067042003128,14.5067042003128,14.5067042003128,15,15,15,15,15,15,15,15,15.8337966107848,15.8337966107848,15.8337966107848,17.1783339156289,17.1783339156289,18.9518629559569,18.9518629559569,18.9518629559569,18.7367234194959,18.7367234194959,18.7367234194959,16,16,16,14,14,14,8.84856755029935,8.84856755029935,7.99999999999998,7.99999999999998,7.99999999999998,6,6,6,5.63922904336765,5.63922904336765,5.63922904336765,7.48082172874829,7.48082172874829,7.48082172874829,7.00000000000001,7.00000000000001,7.00000000000001,7.99999999999998,7.99999999999998,7.99999999999998,7.99999999999998,7.99999999999998,6.11422067291191,6.11422067291191,6.11422067291191,6.00000000000002,6.00000000000002,6.00000000000002,5.40089795437359,5.40089795437359,5.40089795437359,5.54462350348942,5.54462350348942,5.54462350348942,5.31021148640253,5.31021148640253,5.31021148640253,5,5,5,5,5,5.14273793936966,5.14273793936966,5.14273793936966,5.69754493705115,5.69754493705115,5.69754493705115,6.00000000000001,6.00000000000001,6.00000000000001,5.35983252928748,5.35983252928748,5.35983252928748,5.99999999999998,5.99999999999998,5.99999999999998,5.99211819398118,5.99211819398118,6,6,6,6,6,6,6,6,6,6.00000000000002,6.00000000000002,6.00000000000002,6.99999999999998,6.99999999999998,6,6,6,6.6243187049936,6.6243187049936,6.6243187049936,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,null,null,null,null,1,1,0.260053366046421,0,0,0,0.637253883065458,0.999999999999999,1,1,1.72119658220509,1,1.55059187453323,1.55059187453323,2,2.46749483057041,2.46749483057041,3,3,3,3.01069859854761,4,4,4,4,4,5,5,5,5,5.72118561572871,5.57737062025911,5.57737062025911,5.1482309931909,5.1482309931909,6,5.3275223868678,5.3275223868678,5.47138399856123,5.47138399856123,6,6,7,7,6,6,6,6,6,6,6,null,null,5.00000000000004,5.00000000000004,null,null,null,null,null,null,null,null,null,5,5,5.72216649487634,5.72216649487634,5.99999999999996,5.99999999999996,5.99999999999997,5.99999999999997,5.99999999999997,5.87450262459994,5.87450262459994,5.1226244485047,5.1226244485047,5.99999999999998,5.99999999999998,5.00000000000003,5.00000000000003,5.00000000000003,5.49999999999998,5.49999999999998,5.00000000000004,5.00000000000004,5.72449609558102,5.72449609558102,5.72449609558102,5.11550836749023,5.11550836749023,6.99999999999998,6.99999999999998,6.99999999999998,7.96592452379364,7.96592452379364,7.57533633149678,7.57533633149678,8.09472533596501,8.09472533596501,8.09472533596501,9.40736633768724,9.40736633768724,10,10,10,8.5,8.5,8.5,null,null,null,null,null,null,null,null,null,null,10.4856179297113,10.4856179297113,10.4856179297113,12.1426249223684,12.1426249223684,13,13,13,13,13,13,13.9999999999999,13.9999999999999,14.9999999999999,14.9999999999999,14.9999999999999,14.6683007524744,14.6683007524744,14.6683007524744,15.4168983053924,15.4168983053924,15.4168983053924,17.1783339156289,17.1783339156289,18,18,18,17,17,17,15.4678631530611,15.4678631530611,15.4678631530611,12.6626906898258,12.6626906898258,12.6626906898258,9.84856755029934,9.84856755029934,7,7,7,5.99999999999996,5.99999999999996,5.99999999999996,5.99999999999999,5.99999999999999,5.99999999999999,7.48082172874825,7.48082172874825,7.48082172874825,7.67285349991608,7.67285349991608,7.67285349991608,7,7,7,7.00000000000004,7.00000000000004,7.88577932708813,7.88577932708813,7.88577932708813,6.99999999999996,6.99999999999996,6.99999999999996,5.40089795437362,5.40089795437362,5.40089795437362,5.54462350348942,5.54462350348942,5.54462350348942,5.68978851359747,5.68978851359747,5.68978851359747,5.16272331965231,5.16272331965231,5.16272331965231,5,5,5.85726206063035,5.85726206063035,5.85726206063035,6.69754493705107,6.69754493705107,6.69754493705107,6.46798076537572,6.46798076537572,6.46798076537572,5.00000000000001,5.00000000000001,5.00000000000001,5.18014251096193,5.18014251096193,5.18014251096193,6,6,6,6,6,6.00000000000004,6.00000000000004,6.00000000000004,6.00000000000004,6.00000000000004,6.00000000000004,6.85948122488559,6.85948122488559,6.85948122488559,6.10116622700073,6.10116622700073,6.00000000000003,6.00000000000003,6.00000000000003,6.00000000000002,6.00000000000002,6.00000000000002,5.90721036900171,5.90721036900171,5.90721036900171,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,null,null,null,null,1,1,0.260053366046421,0,0,0,0,0.977519745384654,1,1,1.72119658220509,1.12506640616505,2,2,2,2.46749483057041,2.46749483057041,2.99999999999996,3,3,3.01069859854761,4,4,4,4,4,5,5,5,5,5.72118561572871,5.57737062025913,5.57737062025913,5,5,5.8981352189007,6,6,5.47138399856123,5.47138399856123,6,6,7,7,6.00000000000004,6.00000000000004,6,6,6,6,6,null,null,6,6,null,null,null,null,null,null,null,null,null,null,null,5.00000000000001,5.00000000000001,5.00000000000002,5.00000000000002,5.34909726313128,5.34909726313128,5.34909726313128,5.99999999999996,5.99999999999996,5,5,5.60489830676507,5.60489830676507,5.69174700713512,5.69174700713512,5.69174700713512,5.01235175458559,5.01235175458559,6,6,5.72449609558106,5.72449609558106,5.72449609558106,6.00000000000004,6.00000000000004,6.47057524996475,6.47057524996475,6.47057524996475,7.96592452379364,7.96592452379364,8.42466366850326,8.42466366850326,9,9,9,10,10,9.99999999999996,9.99999999999996,9.99999999999996,8.57707541852485,8.57707541852485,8.57707541852485,null,null,null,null,null,null,null,null,null,null,8.48561792971136,8.48561792971136,8.48561792971136,11.1426249223684,11.1426249223684,12.8165284375688,12.8165284375688,12.8165284375688,11.9999999999999,11.9999999999999,11.9999999999999,12.4250125566104,12.4250125566104,13.0667323641311,13.0667323641311,13.0667323641311,13,13,13,14.4168983053924,14.4168983053924,14.4168983053924,17,17,17.951862955957,17.951862955957,17.951862955957,17,17,17,14.4678631530611,14.4678631530611,14.4678631530611,12.3373093101742,12.3373093101742,12.3373093101742,9.99999999999999,9.99999999999999,7.05263087420878,7.05263087420878,7.05263087420878,5,5,5,5.63922904336766,5.63922904336766,5.63922904336766,6.51917827125167,6.51917827125167,6.51917827125167,7.32714650008393,7.32714650008393,7.32714650008393,7.00000000000001,7.00000000000001,7.00000000000001,8,8,7.99999999999996,7.99999999999996,7.99999999999996,5.99999999999997,5.99999999999997,5.99999999999997,5.99999999999996,5.99999999999996,5.99999999999996,5.4553764965106,5.4553764965106,5.4553764965106,5.31021148640253,5.31021148640253,5.31021148640253,5.00000000000003,5.00000000000003,5.00000000000003,5,5,5.85726206063032,5.85726206063032,5.85726206063032,5.30245506294887,5.30245506294887,5.30245506294887,5.46798076537574,5.46798076537574,5.46798076537574,5.35983252928748,5.35983252928748,5.35983252928748,5,5,5,5.99211819398118,5.99211819398118,6,6,6,6.99999999999998,6.99999999999998,6.99999999999998,6.99999999999998,6.99999999999998,6.99999999999998,6.14051877511441,6.14051877511441,6.14051877511441,6.10116622700073,6.10116622700073,6.64412851889007,6.64412851889007,6.64412851889007,6.62431870499361,6.62431870499361,6.62431870499361,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,null,null,null,0,0.99999999999994,0.99999999999994,0.260053366046466,0,0,0,0,0.977519745384654,1,1,1.72119658220505,2,2,2,2,2.46749483057041,2.46749483057041,2.0406942769286,3,3,3.01069859854761,4,4,4,4,4,4.99999999999996,4.99999999999996,5,5,5.72118561572866,5.99999999999997,5.99999999999997,5,5,5.8981352189007,6,6,5.47138399856127,5.47138399856127,6,6,7,7,6.98341202974852,6.98341202974852,6.00000000000006,6.00000000000006,6.00000000000001,6.00000000000001,6,null,null,5.99999999999994,5.99999999999994,null,null,null,null,null,null,null,null,null,null,null,5.27783350512361,5.27783350512361,5.45197093658714,5.45197093658714,5.00000000000002,5.00000000000002,5.00000000000002,5.00000000000001,5.00000000000001,5.12262444850475,5.12262444850475,6.00000000000002,6.00000000000002,6.00000000000006,6.00000000000006,6.00000000000006,6.00000000000012,6.00000000000012,6.00000000000006,6.00000000000006,6.72449609558108,6.72449609558108,6.72449609558108,6.88449163250986,6.88449163250986,7.00000000000003,7.00000000000003,7.00000000000003,7.9659245237937,7.9659245237937,8.42466366850329,8.42466366850329,9,9,9,11,11,9.06947623966948,9.06947623966948,9.06947623966948,10.0513836123499,10.0513836123499,10.0513836123499,9.00000000000006,9.00000000000006,null,null,null,null,null,null,null,null,8.48561792971136,8.48561792971136,8.48561792971136,10.1426249223684,10.1426249223684,10.9999999999999,10.9999999999999,10.9999999999999,10.4932957996871,10.4932957996871,10.4932957996871,12.212506278305,12.212506278305,12.9999999999999,12.9999999999999,12.9999999999999,12.6683007524744,12.6683007524744,12.6683007524744,14.4168983053923,14.4168983053923,14.4168983053923,16.9999999999999,16.9999999999999,17.9518629559568,17.9518629559568,17.9518629559568,16.7367234194957,16.7367234194957,16.7367234194957,12.467863153061,12.467863153061,12.467863153061,11.3373093101741,11.3373093101741,11.3373093101741,9.69713510059857,9.69713510059857,7.00000000000006,7.00000000000006,7.00000000000006,5.00000000000001,5.00000000000001,5.00000000000001,6.00000000000004,6.00000000000004,6.00000000000004,5.48082172874835,5.48082172874835,5.48082172874835,7.99999999999994,7.99999999999994,7.99999999999994,7.17733279783089,7.17733279783089,7.17733279783089,8,8,6.99999999999994,6.99999999999994,6.99999999999994,5.25772593937799,5.25772593937799,5.25772593937799,5,5,5,5.99999999999994,5.99999999999994,5.99999999999994,5.68978851359746,5.68978851359746,5.68978851359746,5.83727668034764,5.83727668034764,5.83727668034764,5,5,5,5,5,5.30245506294885,5.30245506294885,5.30245506294885,5,5,5,5.35983252928746,5.35983252928746,5.35983252928746,5.00000000000001,5.00000000000001,5.00000000000001,6,6,6.00000000000006,6.00000000000006,6.00000000000006,6.58780631426367,6.58780631426367,6.58780631426367,6.63007630228809,6.63007630228809,6.63007630228809,7,7,7,6.10116622700073,6.10116622700073,6.64412851889003,6.64412851889003,6.64412851889003,6.62431870499357,6.62431870499357,6.62431870499357,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,0,0,0,0,1,0,0,0,0,0.977519745384654,1,1,1,2.00000000000001,2.00000000000002,2.00000000000002,2,2.46749483057041,2.46749483057041,2.04069427692856,3,3,3.01069859854761,4,4,4,4,4,4.39014963538708,4.39014963538708,5,5,5,5.42262937974089,5.42262937974089,4.99999999999999,4.99999999999999,5.8981352189007,6,6,6.00000000000004,6.00000000000004,6,6,7,7,7,7,7.00000000000004,7.00000000000004,6.16197027328456,6.16197027328456,6,null,null,4.99999999999996,4.99999999999996,null,null,null,null,null,null,null,null,null,null,null,5,5,5.45197093658714,5.45197093658714,5.34909726313129,5.34909726313129,5.34909726313129,5.12549737540007,5.12549737540007,6,6,6.39510169323495,6.39510169323495,7,7,7,7.98764824541445,7.98764824541445,7,7,7.72449609558102,7.72449609558102,7.72449609558102,7.8844916325098,7.8844916325098,7.52942475003523,7.52942475003523,7.52942475003523,9,9,9.00000000000002,9.00000000000002,9,9,9,10.4073663376872,10.4073663376872,9.99999999999996,9.99999999999996,9.99999999999996,10,10,10,9.92348581600077,9.92348581600077,7.00000000000001,7.00000000000001,7.00000000000001,null,null,null,null,null,null,null,null,null,null,9,9,9,9,9,9,9.21250627830526,9.21250627830526,11,11,11,11.6683007524745,11.6683007524745,11.6683007524745,12.8337966107848,12.8337966107848,12.8337966107848,16,16,15.0000000000001,15.0000000000001,15.0000000000001,12.2632765805041,12.2632765805041,12.2632765805041,10.5321368469389,10.5321368469389,10.5321368469389,9.67461862034845,9.67461862034845,9.67461862034845,8.00000000000004,8.00000000000004,7.97368456289561,7.97368456289561,7.97368456289561,5.19676826012537,5.19676826012537,5.19676826012537,6.63922904336767,6.63922904336767,6.63922904336767,6.51917827125169,6.51917827125169,6.51917827125169,7.00000000000003,7.00000000000003,7.00000000000003,8.17733279783083,8.17733279783083,8.17733279783083,7.96949588641815,7.96949588641815,5.99999999999996,5.99999999999996,5.99999999999996,5.742274060622,5.742274060622,5.742274060622,4.99999999999998,4.99999999999998,4.99999999999998,5,5,5,5.3102114864025,5.3102114864025,5.3102114864025,5.16272331965232,5.16272331965232,5.16272331965232,5,5,5,5,5,5,5,5,5,5,5,4.99999999999996,4.99999999999996,4.99999999999996,5.18014251096191,5.18014251096191,5.18014251096191,6,6,7.00000000000001,7.00000000000001,7.00000000000001,6.58780631426365,6.58780631426365,6.58780631426365,7.00000000000002,7.00000000000002,7.00000000000002,7,7,7,6,6,5.99999999999998,5.99999999999998,5.99999999999998,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,0,0,0,0,1.00000000000001,0,0,0,-1.27914903178806e-14,0.977519745384653,1,1,1,1.874933593835,1.55059187453321,1.55059187453321,2,2.46749483057041,2.46749483057041,3,3,3,3.01069859854761,4,4,4,4,4,4.39014963538706,4.39014963538706,5,5,5,5.42262937974089,5.42262937974089,5.14823099319091,5.14823099319091,6,6.00000000000001,6.00000000000001,4.99999999999999,4.99999999999999,6,6,6.85665986896475,6.85665986896475,7.00000000000002,7.00000000000002,6.08520513501017,6.08520513501017,6.00000000000002,6.00000000000002,null,null,null,6,6,6.00000000000002,6.00000000000002,6.00000000000002,null,null,null,null,null,null,null,null,5,5,5.45197093658714,5.45197093658714,5.34909726313129,5.34909726313129,5.34909726313129,4.99999999999998,4.99999999999998,6,6,6.39510169323493,6.39510169323493,6.99999999999999,6.99999999999999,6.99999999999999,7.98764824541445,7.98764824541445,7,7,7.72449609558102,7.72449609558102,7.72449609558102,7.99999999999998,7.99999999999998,8.47057524996472,8.47057524996472,8.47057524996472,9,9,8.42466366850323,8.42466366850323,8.99999999999998,8.99999999999998,8.99999999999998,11,11,11,11,11,9.99999999999998,9.99999999999998,9.99999999999998,10.9234858160008,10.9234858160008,6.75623168533405,6.75623168533405,6.75623168533405,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8.42501255661048,8.42501255661048,9.93326763586892,9.93326763586892,9.93326763586892,11.336601504949,11.336601504949,11.336601504949,13.4168983053924,13.4168983053924,13.4168983053924,16,16,12.1444111321291,12.1444111321291,12.1444111321291,10.5265531610082,10.5265531610082,10.5265531610082,9.53213684693885,9.53213684693885,9.53213684693885,9.33730931017427,9.33730931017427,9.33730931017427,6.99999999999996,6.99999999999996,7.94736912579124,7.94736912579124,7.94736912579124,6,6,6,5.99999999999999,5.99999999999999,5.99999999999999,7.00000000000001,7.00000000000001,7.00000000000001,6.3271465000839,6.3271465000839,6.3271465000839,8.00000000000004,8.00000000000004,8.00000000000004,7.96949588641818,7.96949588641818,6.88577932708812,6.88577932708812,6.88577932708812,6.74227406062205,6.74227406062205,6.74227406062205,5.5991020456264,5.5991020456264,5.5991020456264,5,5,5,5.68978851359749,5.68978851359749,5.68978851359749,4.99999999999998,4.99999999999998,4.99999999999998,4.99999999999998,4.99999999999998,5,5,5,4.99999999999999,4.99999999999999,4.99999999999999,5,5,5,6.00000000000001,6.00000000000001,6.00000000000001,6,6,6,6,6,6.79494108638233,6.79494108638233,6.79494108638233,6.99999999999999,6.99999999999999,6.99999999999999,6.36992369771192,6.36992369771192,6.36992369771192,7,7,7,5.99999999999998,5.99999999999998,6.35587148110992,6.35587148110992,6.35587148110992,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,0,0,0,0,0.739946633953579,0,0,0,0.637253883065484,1,1,1,1,1,1.55059187453321,1.55059187453321,2,2.46749483057041,2.46749483057041,3,3,3,3.01069859854761,4.00000000000001,4.00000000000001,4,4,4,5,5,5,5,5,5.42262937974089,5.42262937974089,5.14823099319091,5.14823099319091,6,5.32752238686777,5.32752238686777,5.47138399856122,5.47138399856122,6,6,7,7,6,6,6,6,5.16197027328454,5.16197027328454,null,6,6,5.75839145747186,5.75839145747186,4.99999999999998,4.99999999999998,4.99999999999998,null,null,null,null,null,null,null,null,5.00000000000001,5.00000000000001,5,5,5.65090273686871,5.65090273686871,5.65090273686871,5.87450262459994,5.87450262459994,6,6,7.00000000000001,7.00000000000001,7.30825299286488,7.30825299286488,7.30825299286488,7.98764824541445,7.98764824541445,6.99999999999998,6.99999999999998,7.72449609558103,7.72449609558103,7.72449609558103,9,9,9.00000000000001,9.00000000000001,9.00000000000001,8.96592452379364,8.96592452379364,9.42466366850324,9.42466366850324,9.99999999999998,9.99999999999998,9.99999999999998,11,11,11,11,11,11,11,11,11,11,11,11,11,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,9.86653527173781,9.86653527173781,9.86653527173781,12,12,12,13.4168983053924,13.4168983053924,13.4168983053924,14.1783339156289,14.1783339156289,14.0481370440431,14.0481370440431,14.0481370440431,8.99999999999996,8.99999999999996,8.99999999999996,9.00000000000002,9.00000000000002,9.00000000000002,7.00000000000001,7.00000000000001,7.00000000000001,8.84856755029937,8.84856755029937,6.97368456289561,6.97368456289561,6.97368456289561,5.80323173987459,5.80323173987459,5.80323173987459,6.63922904336765,6.63922904336765,6.63922904336765,6.51917827125173,6.51917827125173,6.51917827125173,6.32714650008391,6.32714650008391,6.32714650008391,6.17733279783083,6.17733279783083,6.17733279783083,7.00000000000002,7.00000000000002,7,7,7,6.25772593937797,6.25772593937797,6.25772593937797,6.00000000000001,6.00000000000001,6.00000000000001,4.99999999999999,4.99999999999999,4.99999999999999,5.31021148640252,5.31021148640252,5.31021148640252,5.8372766803477,5.8372766803477,5.8372766803477,6.00000000000002,6.00000000000002,5.14273793936965,5.14273793936965,5.14273793936965,5.30245506294888,5.30245506294888,5.30245506294888,5,5,5,5.35983252928749,5.35983252928749,5.35983252928749,6,6,6,6,6,7,7,7,7.58780631426366,7.58780631426366,7.58780631426366,7,7,7,7,7,7,7.00000000000002,7.00000000000002,6.64412851889008,6.64412851889008,6.64412851889008,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,0,0,0,0,0.739946633953579,7.87896402314082e-14,0,0,0.637253883065484,1,1,1,1,1,1.55059187453321,1.55059187453321,2,2.46749483057038,2.46749483057038,3,3,3,3,3.57068737388992,3.57068737388992,4,4,4.00000000000006,5,5,5,5,5,5.42262937974089,5.42262937974089,5.14823099319089,5.14823099319089,5.99999999999999,5.32752238686783,5.32752238686783,6,6,6,6,7,7,6,6,6,6,6,6,5,6,6,6,6,6,6,6,null,null,null,null,null,null,null,null,4.72216649487639,4.72216649487639,4.99999999999996,4.99999999999996,5.34909726313132,5.34909726313132,5.34909726313132,5.87450262459994,5.87450262459994,6,6,6.39510169323495,6.39510169323495,7.99999999999998,7.99999999999998,7.99999999999998,7.98764824541445,7.98764824541445,8,8,7.27550390441904,7.27550390441904,7.27550390441904,9,9,8.47057524996477,8.47057524996477,8.47057524996477,9,9,10,10,10.905274664035,10.905274664035,10.905274664035,11,11,11.0000000000001,11.0000000000001,11.0000000000001,10.9486163876502,10.9486163876502,10.9486163876502,12,12,11.0000000000001,11.0000000000001,11.0000000000001,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,10.7998029076066,10.7998029076066,10.7998029076066,12.3316992475253,12.3316992475253,12.3316992475253,13.8337966107847,13.8337966107847,13.8337966107847,13.9999999999998,13.9999999999998,12.0962740880858,12.0962740880858,12.0962740880858,11,11,11,7.99999999999992,7.99999999999992,7.99999999999992,6.67461862034854,6.67461862034854,6.67461862034854,6.84856755029933,6.84856755029933,6.97368456289553,6.97368456289553,6.97368456289553,6.00000000000006,6.00000000000006,6.00000000000006,6.36077095663233,6.36077095663233,6.36077095663233,5.48082172874829,5.48082172874829,5.48082172874829,5.99999999999994,5.99999999999994,5.99999999999994,6.00000000000001,6.00000000000001,6.00000000000001,6.03050411358192,6.03050411358192,7,7,7,6.00000000000008,6.00000000000008,6.00000000000008,5.40089795437368,5.40089795437368,5.40089795437368,5.54462350348946,5.54462350348946,5.54462350348946,5.00000000000008,5.00000000000008,5.00000000000008,5.00000000000001,5.00000000000001,5.00000000000001,5,5,5.14273793936965,5.14273793936965,5.14273793936965,5.00000000000006,5.00000000000006,5.00000000000006,5.00000000000008,5.00000000000008,5.00000000000008,5.00000000000005,5.00000000000005,5.00000000000005,5.99999999999999,5.99999999999999,5.99999999999999,5.99999999999992,5.99999999999992,7,7,7,7.99999999999992,7.99999999999992,7.99999999999992,7,7,7,7,7,7,6.10116622700073,6.10116622700073,6.35587148110993,6.35587148110993,6.35587148110993,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,0,0,0,0,0.739946633953519,0.981296997751163,2.55106897338777e-14,2.55106897338777e-14,0.637253883065513,1,1,1,1,1.00000000000008,1.55059187453325,1.55059187453325,2,2,2,2.95930572307132,3,3,3,3,3,4,4,4.76022644416094,5,5,5,5,5,5.42262937974089,5.42262937974089,5,5,5.8981352189007,6,6,6,6,6,6,7,7,6.00000000000008,6.00000000000008,6,6,6.00000000000001,6.00000000000001,5.50000000000002,6,6,6,6,6,6,6,null,null,null,null,null,null,null,null,5.00000000000006,5.00000000000006,4.45197093658718,4.45197093658718,5.65090273686868,5.65090273686868,5.65090273686868,5.87450262459995,5.87450262459995,6,6,6.39510169323498,6.39510169323498,7.6917470071351,7.6917470071351,7.6917470071351,8.00000000000008,8.00000000000008,8.00000000000003,8.00000000000003,8.00000000000002,8.00000000000002,8.00000000000002,9,9,9,9,9,9,9,10,10,10,10,10,11,11,12,12,12,11.474308193825,11.474308193825,11.474308193825,12,12,12,12,12,8.00000000000022,8.00000000000022,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8.93326763586876,8.93326763586876,8.93326763586876,10.3316992475253,10.3316992475253,10.3316992475253,12.8337966107844,12.8337966107844,12.8337966107844,11.9999999999999,11.9999999999999,9.1925481761722,9.1925481761722,9.1925481761722,10.9999999999999,10.9999999999999,10.9999999999999,7.00000000000004,7.00000000000004,7.00000000000004,7.99999999999997,7.99999999999997,7.99999999999997,6.84856755029926,6.84856755029926,6.02631543710454,6.02631543710454,6.02631543710454,6.80323173987455,6.80323173987455,6.80323173987455,5.99999999999995,5.99999999999995,5.99999999999995,5.48082172874834,5.48082172874834,5.48082172874834,5.32714650008396,5.32714650008396,5.32714650008396,6.17733279783081,6.17733279783081,6.17733279783081,7,7,7.00000000000007,7.00000000000007,7.00000000000007,7,7,7,6.4008979543736,6.4008979543736,6.4008979543736,6,6,6,6.00000000000005,6.00000000000005,6.00000000000005,5.16272331965237,5.16272331965237,5.16272331965237,5,5,5.14273793936965,5.14273793936965,5.14273793936965,5.69754493705107,5.69754493705107,5.69754493705107,5.99999999999992,5.99999999999992,5.99999999999992,5.64016747071246,5.64016747071246,5.64016747071246,5.81985748903801,5.81985748903801,5.81985748903801,5.0078818060189,5.0078818060189,7,7,7,7,7,7,7,7,7,7,7,7,6.00000000000001,6.00000000000001,6.3558714811099,6.3558714811099,6.3558714811099,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0.981296997751165,0.317726584014046,0.317726584014046,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4.76022644416094,5,5,5,5,5,5.42262937974089,5.42262937974089,5,5,5.8981352189007,5.99999999999997,5.99999999999997,6,6,6,6,6.99999999999991,6.99999999999991,6.98341202974852,6.98341202974852,6.00000000000001,6.00000000000001,6.16197027328454,6.16197027328454,5.78634838135419,5.99999999999992,5.99999999999992,6,6,6,6,6,5,5,null,null,null,null,null,null,5.72216649487637,5.72216649487637,5.00000000000005,5.00000000000005,5.34909726313126,5.34909726313126,5.34909726313126,6,6,6,6,6.79020338646986,6.79020338646986,7.69174700713521,7.69174700713521,7.69174700713521,8.98764824541435,8.98764824541435,8.35668559562395,8.35668559562395,8.27550390441905,8.27550390441905,8.27550390441905,9,9,9,9,9,9.0000000000001,9.0000000000001,10,10,10.0000000000001,10.0000000000001,10.0000000000001,11,11,11.9305237603305,11.9305237603305,11.9305237603305,11,11,11,12.0382570919996,12.0382570919996,12.3781158426671,12.3781158426671,12.3781158426671,10.7753205446989,10.7753205446989,8.00000000000013,8.00000000000013,8.00000000000013,7,7,7,null,null,null,null,null,null,null,null,null,null,7,7,7,8,8,8,7.99999999999986,7.99999999999986,7.99999999999986,10.8216660843711,10.8216660843711,9.95186295595687,9.95186295595687,9.95186295595687,9.26327658050397,9.26327658050397,9.26327658050397,7.53213684693879,7.53213684693879,7.53213684693879,7.67461862034844,7.67461862034844,7.67461862034844,6,6,7.94736912579122,7.94736912579122,7.94736912579122,6.19676826012538,6.19676826012538,6.19676826012538,5.36077095663232,5.36077095663232,5.36077095663232,5.99999999999995,5.99999999999995,5.99999999999995,5.99999999999997,5.99999999999997,5.99999999999997,6,6,6,7,7,7.88577932708812,7.88577932708812,7.88577932708812,7,7,7,6.40089795437366,6.40089795437366,6.40089795437366,6,6,6,6.68978851359741,6.68978851359741,6.68978851359741,5.8372766803477,5.8372766803477,5.8372766803477,5,5,5.14273793936968,5.14273793936968,5.14273793936968,5,5,5,5,5,5,5.00000000000006,5.00000000000006,5.00000000000006,5.18014251096202,5.18014251096202,5.18014251096202,5.99211819398118,5.99211819398118,6.99999999999998,6.99999999999998,6.99999999999998,7,7,7,7,7,7,7,7,7,6.10116622700081,6.10116622700081,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4.76022644416094,5,5,5,5,5,5.42262937974089,5.42262937974089,5,5,5.8981352189007,5.67247761313223,5.67247761313223,6,6,6,6,6.14334013103525,6.14334013103525,7,7,6.08520513501017,6.08520513501017,6,6,5.21365161864575,5.24020701152484,5.24020701152484,6,6,6,6,6,5,5,null,null,null,null,null,null,5.72216649487637,5.72216649487637,5.45197093658714,5.45197093658714,5,5,5,6,6,6,6,6.39510169323495,6.39510169323495,8.6917470071351,8.6917470071351,8.6917470071351,8,8,9,9,9,9,9,9,9,9,9,9,9.96592452379364,9.96592452379364,10,10,10.905274664035,10.905274664035,10.905274664035,11.4073663376872,11.4073663376872,11.0694762396694,11.0694762396694,11.0694762396694,11,11,11,12.0382570919996,12.0382570919996,12.3781158426671,12.3781158426671,12.3781158426671,12,12,9.30778082368003,9.30778082368003,9.30778082368003,7,7,7,9.5,9.5,null,null,null,null,null,null,null,null,null,null,null,8,8,8,6.58310169460759,6.58310169460759,6.58310169460759,10.8216660843711,10.8216660843711,9.04813704404303,9.04813704404303,9.04813704404303,8.26327658050407,8.26327658050407,8.26327658050407,7,7,7,7.67461862034844,7.67461862034844,7.67461862034844,6,6,7.94736912579122,7.94736912579122,7.94736912579122,6,6,6,5,5,5,5.48082172874829,5.48082172874829,5.48082172874829,5.6728534999161,5.6728534999161,5.6728534999161,6,6,6,7,7,7.88577932708812,7.88577932708812,7.88577932708812,7,7,7,7,7,7,6,6,6,6,6,6,6,6,6,5.01203189590649,5.01203189590649,null,null,null,5,5,5,5,5,5,5.64016747071252,5.64016747071252,5.64016747071252,6,6,6,6,6,6.79494108638234,6.79494108638234,6.79494108638234,7,7,7,7,7,7,7,7,7,6.89883377299927,6.89883377299927,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,0,0,0,0.739946633953579,1,1,1,1,1,0.99999999999998,0.99999999999998,0.278803417794901,1.12506640616502,1.99999999999999,1.99999999999999,2,2,2,2,2.47363834360307,2.47363834360307,3,3,3,4,4,4.76022644416094,5,5,5,5,5,5.42262937974089,5.42262937974089,5.14823099319091,5.14823099319091,6,5.67247761313223,5.67247761313223,6,6,6,6,6,6,7,7,6.08520513501017,6.08520513501017,6,6,6,6,6,6.00000000000001,6.00000000000001,6,6,6,5,5,null,null,null,null,null,null,5,5,4.90394187317426,4.90394187317426,5,5,5,5.99999999999998,5.99999999999998,6,6,7,7,7.69174700713509,7.69174700713509,7.69174700713509,8.01235175458557,8.01235175458557,9,9,8.72449609558101,8.72449609558101,8.72449609558101,9,9,9,9,9,9.03407547620636,9.03407547620636,10,10,10,10,10,11,11,11,11,11,11,11,11,12.9617429080004,12.9617429080004,12.6218841573329,12.6218841573329,12.6218841573329,11,11,11.15389041184,11.15389041184,11.15389041184,10.5143820702887,10.5143820702887,10.5143820702887,9.85737507763159,9.85737507763159,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.00000000000002,7.00000000000002,7.00000000000002,7,7,7.00000000000002,7.00000000000002,7.00000000000002,7.00000000000003,7.00000000000003,7.00000000000003,6.53213684693886,6.53213684693886,6.53213684693886,6.00000000000001,6.00000000000001,6.00000000000001,6.00000000000002,6.00000000000002,7.02631543710441,7.02631543710441,7.02631543710441,6.00000000000002,6.00000000000002,6.00000000000002,5.36077095663236,5.36077095663236,5.36077095663236,6.03835654250341,6.03835654250341,6.03835654250341,5.6728534999161,5.6728534999161,5.6728534999161,6,6,6,6.03050411358184,6.03050411358184,7,7,7,7.25772593937796,7.25772593937796,7.25772593937796,7.00000000000001,7.00000000000001,7.00000000000001,6.99999999999998,6.99999999999998,6.99999999999998,5.99999999999999,5.99999999999999,5.99999999999999,5.99999999999998,5.99999999999998,5.99999999999998,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.81985748903805,5.81985748903805,5.81985748903805,5.00788180601884,5.00788180601884,5.20505891361767,5.20505891361767,5.20505891361767,6.41219368573632,6.41219368573632,6.41219368573632,6.36992369771195,6.36992369771195,6.36992369771195,6.00000000000002,6.00000000000002,6.00000000000002,6.10116622700073,6.10116622700073,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,0,0,4.86330213063733e-15,2.00728322852231e-14,2.00728322852231e-14,0.739946633953584,1,1,1,1,1,0,0,0,0.999999999999982,1.55059187453321,1.55059187453321,2,2,2,2,3,3,3,3,3,4,4,4.76022644416094,5,5,5,5,5,5.4226293797409,5.4226293797409,5.14823099319091,5.14823099319091,6,6,6,6,6,6,6,6,6,6.99999999999998,6.99999999999998,6.08520513501017,6.08520513501017,6,6,6,6,6,6.24160854252813,6.24160854252813,6,6,6,5.16891314405508,5.16891314405508,null,null,null,null,null,null,5,5,4.45197093658714,4.45197093658714,5.00000000000001,5.00000000000001,5.00000000000001,5.12549737540006,5.12549737540006,6,6,6.99999999999999,6.99999999999999,7,7,7,9,9,9,9,8.275503904419,8.275503904419,8.275503904419,9,9,9,9,9,9.03407547620635,9.03407547620635,10,10,10,10,10,10.4073663376872,10.4073663376872,10.9305237603306,10.9305237603306,10.9305237603306,11.5256918061749,11.5256918061749,11.5256918061749,12,12,12.6218841573329,12.6218841573329,12.6218841573329,11.7753205446988,11.7753205446988,11.15389041184,11.15389041184,11.15389041184,11.5143820702887,11.5143820702887,11.5143820702887,11.8573750776315,11.8573750776315,9.00000000000004,9.00000000000004,9.00000000000004,null,null,null,null,null,null,null,null,null,null,null,7.99999999999996,7.99999999999996,7.99999999999996,7.00000000000004,7.00000000000004,7.95186295595699,7.95186295595699,7.95186295595699,8.47344683899188,8.47344683899188,8.47344683899188,7.46786315306119,7.46786315306119,7.46786315306119,6.66269068982581,6.66269068982581,6.66269068982581,7.15143244970071,7.15143244970071,8.05263087420876,8.05263087420876,8.05263087420876,6.8032317398746,6.8032317398746,6.8032317398746,5.63922904336765,5.63922904336765,5.63922904336765,6,6,6,5.99999999999999,5.99999999999999,5.99999999999999,6.00000000000002,6.00000000000002,6.00000000000002,6.03050411358184,6.03050411358184,7.00000000000002,7.00000000000002,7.00000000000002,7,7,7,7.40089795437357,7.40089795437357,7.40089795437357,6,6,6,5.68978851359748,5.68978851359748,5.68978851359748,5,5,5,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,5.99999999999998,5.99999999999998,5.79494108638234,5.79494108638234,5.79494108638234,6,6,6,6.99999999999999,6.99999999999999,6.99999999999999,6.99999999999998,6.99999999999998,6.99999999999998,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,0,0,0.242282806010262,0.99999999999999,0.99999999999999,1,1,1,1,1,1,0,0,0,0.125066406165018,1.55059187453321,1.55059187453321,2,2,2,2,3,3,3,3,3,4,4,4.76022644416094,5,5,5,5,5,6,6,5.14823099319091,5.14823099319091,6,5.99999999999999,5.99999999999999,6,6,6,6,6,6,6.01658797025148,6.01658797025148,6.08520513501019,6.08520513501019,6,6,6,6,6,6.24160854252813,6.24160854252813,6,6,6,4.99999999999997,4.99999999999997,5.00000000000001,5.00000000000001,null,null,null,null,5,5,4.45197093658714,4.45197093658714,5.34909726313129,5.34909726313129,5.34909726313129,5.00000000000002,5.00000000000002,5.99999999999998,5.99999999999998,6.60489830676504,6.60489830676504,6.99999999999999,6.99999999999999,6.99999999999999,9.01235175458555,9.01235175458555,9.00000000000002,9.00000000000002,9.00000000000001,9.00000000000001,9.00000000000001,9.11550836749021,9.11550836749021,9.00000000000001,9.00000000000001,9.00000000000001,9.00000000000002,9.00000000000002,10.4246636685032,10.4246636685032,10,10,10,10,10,11,11,11,12,12,12,12,12,13,13,13,13,13,11,11,11,12,12,12,11.1426249223684,11.1426249223684,11,11,11,null,null,null,null,null,null,null,null,null,null,null,6,6,6,9.00000000000001,9.00000000000001,9.00000000000006,9.00000000000006,9.00000000000006,10,10,10,8.99999999999999,8.99999999999999,8.99999999999999,8.00000000000002,8.00000000000002,8.00000000000002,9.15143244970064,9.15143244970064,7.05263087420878,7.05263087420878,7.05263087420878,6.80323173987459,6.80323173987459,6.80323173987459,6.00000000000001,6.00000000000001,6.00000000000001,6.00000000000001,6.00000000000001,6.00000000000001,5.6728534999161,5.6728534999161,5.6728534999161,6.82266720216916,6.82266720216916,6.82266720216916,6.03050411358186,6.03050411358186,7.88577932708811,7.88577932708811,7.88577932708811,7,7,7,6.40089795437359,6.40089795437359,6.40089795437359,6,6,6,5.68978851359749,5.68978851359749,5.68978851359749,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00788180601883,5.00788180601883,6,6,6,6,6,6,6.63007630228806,6.63007630228806,6.63007630228806,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,0,0,0,0,0.481219581621264,0.481219581621264,1,1,1,1,0.999999999999987,0.99999999999998,0,0,0,0.125066406165018,1.55059187453321,1.55059187453321,2,2,2,2,3,3,3,3,3,4,4,4.76022644416093,5,5,5,5,5,6,6,5.14823099319091,5.14823099319091,6,5.32752238686779,5.32752238686779,6,6,6,6,6,6,6.01658797025148,6.01658797025148,7,7,6.16197027328456,6.16197027328456,6,6,6,6.24160854252813,6.24160854252813,6,6,6,3.33782628811019,3.33782628811019,5.71548926288629,5.71548926288629,null,null,null,null,4.99999999999999,4.99999999999999,4.35591280976139,4.35591280976139,5,5,5,5.87450262459992,5.87450262459992,5.1226244485047,5.1226244485047,6.00000000000001,6.00000000000001,6.69174700713511,6.69174700713511,6.69174700713511,9,9,9.99999999999998,9.99999999999998,9.724496095581,9.724496095581,9.724496095581,9.8844916325098,9.8844916325098,9.52942475003528,9.52942475003528,9.52942475003528,10,10,10,10,10,10,10,11,11,11,11,11,11.4743081938251,11.4743081938251,11.4743081938251,12.0382570919996,12.0382570919996,13.6218841573329,13.6218841573329,13.6218841573329,13.7753205446988,13.7753205446988,12.84610958816,12.84610958816,12.84610958816,11.5143820702886,11.5143820702886,11.5143820702886,9.14262492236846,9.14262492236846,10.1834715624312,10.1834715624312,10.1834715624312,null,null,null,null,null,null,null,null,null,null,null,null,null,null,9.17833391562891,9.17833391562891,12,12,12,10,10,10,8.46786315306117,8.46786315306117,8.46786315306117,9,9,9,8,8,7,7,7,6.19676826012541,6.19676826012541,6.19676826012541,6.63922904336763,6.63922904336763,6.63922904336763,6.51917827125171,6.51917827125171,6.51917827125171,6.00000000000001,6.00000000000001,6.00000000000001,6,6,6,7,7,7,7,7,7.00000000000002,7.00000000000002,7.00000000000002,6.40089795437359,6.40089795437359,6.40089795437359,5.99999999999999,5.99999999999999,5.99999999999999,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,0,0,0,0,0.481219581621264,0.481219581621264,1,1,1,1,0.362746116934516,0,0,0,0,0.125066406165018,1.55059187453321,1.55059187453321,2,2,2,2,3,3,3,3.00000000000002,3.00000000000002,4,4,4,5,5,5,5,5,6,6,5.1482309931909,5.1482309931909,6,6,6,6,6,6,6,6,6,6,6,6.91479486498979,6.91479486498979,6.16197027328456,6.16197027328456,6,6.00000000000003,6.00000000000003,6.24160854252816,6.24160854252816,6.00000000000003,6.00000000000003,6.00000000000003,4.33782628811021,4.33782628811021,5.62065235051494,5.62065235051494,null,null,null,null,4.72216649487635,4.72216649487635,3.35591280976141,3.35591280976141,5.00000000000001,5.00000000000001,5.00000000000001,5.1254973754001,5.1254973754001,5.12262444850474,5.12262444850474,6.39510169323495,6.39510169323495,7.00000000000003,7.00000000000003,7.00000000000003,9,9,9.00000000000002,9.00000000000002,9.00000000000001,9.00000000000001,9.00000000000001,10,10,10,10,10,10,10,10,10,10.094725335965,10.094725335965,10.094725335965,10,10,10.9305237603306,10.9305237603306,10.9305237603306,11.4743081938251,11.4743081938251,11.4743081938251,12.0382570919996,12.0382570919996,13.6218841573329,13.6218841573329,13.6218841573329,13.7753205446987,13.7753205446987,13,13,13,11.5143820702887,11.5143820702887,11.5143820702887,9.85737507763159,9.85737507763159,9.99999999999993,9.99999999999993,9.99999999999993,9,9,9,null,null,null,null,null,null,null,null,null,null,null,9.17833391562886,9.17833391562886,12,12,12,9.99999999999998,9.99999999999998,9.99999999999998,9,9,9,8.99999999999996,8.99999999999996,8.99999999999996,7.84856755029929,7.84856755029929,7,7,7,6.80323173987458,6.80323173987458,6.80323173987458,6.00000000000001,6.00000000000001,6.00000000000001,6.51917827125173,6.51917827125173,6.51917827125173,6.3271465000839,6.3271465000839,6.3271465000839,6.17733279783082,6.17733279783082,6.17733279783082,6.96949588641812,6.96949588641812,7.11422067291187,7.11422067291187,7.11422067291187,7.99999999999997,7.99999999999997,7.99999999999997,6.4008979543736,6.4008979543736,6.4008979543736,5.54462350348942,5.54462350348942,5.54462350348942,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0.481219581621264,0.481219581621264,1,1,1,1,0.362746116934516,0,0,0,0,0.125066406165018,1.55059187453321,1.55059187453321,2,2,2,2,3.00000000000004,3.00000000000004,3,3.57068737388997,3.57068737388997,4,4,4,5,5,5,5,5,6,6,5,5,5.8981352189007,6,6,6,6,6,6,6,6,6,6,6,6,6.16197027328456,6.16197027328456,6,6.75979298847516,6.75979298847516,7.00000000000003,7.00000000000003,6.78215686223854,6.78215686223854,6.78215686223854,5.16891314405505,5.16891314405505,2.7154892628864,2.7154892628864,null,null,null,null,4.16649948462915,4.16649948462915,3.45197093658707,3.45197093658707,5.30180547373744,5.30180547373744,5.30180547373744,6.00000000000004,6.00000000000004,6,6,6.39510169323497,6.39510169323497,7.69174700713513,7.69174700713513,7.69174700713513,9,9,9.3566855956239,9.3566855956239,9.27550390441895,9.27550390441895,9.27550390441895,10,10,10,10,10,10.9659245237937,10.9659245237937,11,11,11,11,11,10.4073663376872,10.4073663376872,11,11,11,11.4743081938251,11.4743081938251,11.4743081938251,13,13,13,13,13,13,13,13,13,13,12,12,12,10.8573750776315,10.8573750776315,8.3669431248623,8.3669431248623,8.3669431248623,8.98659159937429,8.98659159937429,8.98659159937429,null,null,null,null,null,null,null,null,null,null,null,null,null,10.951862955957,10.951862955957,10.951862955957,9.52655316100816,9.52655316100816,9.52655316100816,9,9,9,8.00000000000001,8.00000000000001,8.00000000000001,6.84856755029933,6.84856755029933,6.97368456289561,6.97368456289561,6.97368456289561,6.19676826012537,6.19676826012537,6.19676826012537,6.36077095663233,6.36077095663233,6.36077095663233,7,7,7,6.32714650008388,6.32714650008388,6.32714650008388,6.1773327978308,6.1773327978308,6.1773327978308,6.03050411358184,6.03050411358184,7,7,7,7.25772593937797,7.25772593937797,7.25772593937797,6.40089795437361,6.40089795437361,6.40089795437361,5.5446235034894,5.5446235034894,5.5446235034894,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0.481219581621283,0.481219581621283,1.00000000000001,1,1,1,0.362746116934516,0,0,0,-2.89529160785579e-14,0.125066406165018,1.55059187453321,1.55059187453321,2,2,2,2,1.99999999999998,1.99999999999998,3,3.57068737388997,3.57068737388997,4,4,4,5,5,5,5,5,6.00000000000002,6.00000000000002,5,5,5.8981352189007,6,6,6,6,6,6,6,6,6,6,6,6,6.16197027328456,6.16197027328456,6,6.75979298847516,6.75979298847516,6.2416085425281,6.2416085425281,7,7,7,6,6,0,0,4.99999999999996,4.99999999999996,5,5,3.27783350512356,3.27783350512356,5,5,4.65090273686869,4.65090273686869,4.65090273686869,5,5,6,6,5.79020338646989,5.79020338646989,6.99999999999997,6.99999999999997,6.99999999999997,9,9,9,9,10,10,10,10,10,9.99999999999998,9.99999999999998,9.99999999999998,9.99999999999996,9.99999999999996,11,11,11.9052746640351,11.9052746640351,11.9052746640351,11,11,11,11,11,11.474308193825,11.474308193825,11.474308193825,13,13,13,13,13,13,13,13,13,13,13,13,13,11.8573750776315,11.8573750776315,8.99999999999999,8.99999999999999,8.99999999999999,9,9,9,6.99999999999993,6.99999999999993,null,null,null,null,null,null,null,null,null,null,null,8.95186295595697,8.95186295595697,8.95186295595697,9.26327658050407,9.26327658050407,9.26327658050407,9.00000000000004,9.00000000000004,9.00000000000004,7.66269068982578,7.66269068982578,7.66269068982578,6.84856755029937,6.84856755029937,6.97368456289561,6.97368456289561,6.97368456289561,7,7,7,7,7,7,6.99999999999998,6.99999999999998,6.99999999999998,6.99999999999999,6.99999999999999,6.99999999999999,6.82266720216917,6.82266720216917,6.82266720216917,6.03050411358181,6.03050411358181,7,7,7,7,7,7,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0.739946633953534,0.999999999999941,1,1,0.362746116934554,6.02184968556693e-14,6.02184968556693e-14,6.02184968556693e-14,0.72119658220511,0.125066406165064,1.55059187453319,1.55059187453319,2,2,2,2,2.47363834360306,2.47363834360306,3,3.57068737388997,3.57068737388997,4,4,4.00000000000005,5,5,5,5,5,5.57737062025914,5.57737062025914,5,5,5.8981352189007,6,6,6,6,6,6,6,6,6,6,6,6,6.16197027328455,6.16197027328455,5.99999999999995,6.75979298847516,6.75979298847516,6.99999999999995,6.99999999999995,6.99999999999994,6.99999999999994,6.99999999999994,6,6,0,0,5.99999999999994,5.99999999999994,4.99999999999998,4.99999999999998,5,5,5,5,4.99999999999996,4.99999999999996,4.99999999999996,5,5,6,6,6,6,7.69174700713506,7.69174700713506,7.69174700713506,8.99999999999994,8.99999999999994,8.99999999999998,8.99999999999998,9.72449609558102,9.72449609558102,9.72449609558102,10,10,10.4705752499647,10.4705752499647,10.4705752499647,11,11,11,11,11,11,11,10.9999999999999,10.9999999999999,10.0694762396695,10.0694762396695,10.0694762396695,12,12,12,12.0382570919997,12.0382570919997,13,13,13,13,13,13.84610958816,13.84610958816,13.84610958816,13,13,13,12.7147501552631,12.7147501552631,9.18347156243128,9.18347156243128,9.18347156243128,8.99999999999994,8.99999999999994,8.99999999999994,8.78749372169469,8.78749372169469,7.49999999999997,7.49999999999997,7.49999999999997,null,null,null,null,null,null,null,null,8.95186295595694,8.95186295595694,8.95186295595694,9.263276580504,9.263276580504,9.263276580504,7.99999999999994,7.99999999999994,7.99999999999994,7.66269068982572,7.66269068982572,7.66269068982572,6,6,6.97368456289555,6.97368456289555,6.97368456289555,7,7,7,7.00000000000004,7.00000000000004,7.00000000000004,7.48082172874826,7.48082172874826,7.48082172874826,7.32714650008394,7.32714650008394,7.32714650008394,6.82266720216924,6.82266720216924,6.82266720216924,7,7,6.88577932708813,6.88577932708813,6.88577932708813,7,7,7,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0.0187030022488361,0.999999999999959,0.999999999999959,1.00000000000004,1.00000000000006,1,1,1,0.874933593834989,1.10118374906646,1.10118374906646,2,2,2,2,2.47363834360306,2.47363834360306,3,3.57068737388997,3.57068737388997,4,4,4.76022644416094,5,5,5,5,5,6,6,5,5,5.8981352189007,6,6,6,6,6,6,6,6,6,6,6,6,6,6,5.2136516186458,6.75979298847516,6.75979298847516,6.24160854252818,6.24160854252818,6.00000000000001,6.00000000000001,6.00000000000001,6,6,0,0,5.0043506224354,5.0043506224354,4.74280526511347,4.74280526511347,4.99999999999988,4.99999999999988,4.90394187317421,4.90394187317421,4.30180547373741,4.30180547373741,4.30180547373741,5,5,5.99999999999995,5.99999999999995,6.00000000000006,6.00000000000006,6.99999999999998,6.99999999999998,6.99999999999998,8,8,8.64331440437613,8.64331440437613,9.72449609558102,9.72449609558102,9.72449609558102,10,10,10,10,10,11,11,11,11,11,11,11,10,10,11,11,11,11.4743081938251,11.4743081938251,11.4743081938251,13,13,13,13,13,13,13,13.8461095881599,13.8461095881599,13.8461095881599,13,13,13,12.0000000000001,12.0000000000001,11.1834715624312,11.1834715624312,11.1834715624312,8.00000000000006,8.00000000000006,8.00000000000006,7.42501255661043,7.42501255661043,7.06673236413114,7.06673236413114,7.06673236413114,null,null,null,null,null,null,null,null,null,null,null,8,8,8,7,7,7,6.67461862034848,6.67461862034848,6.67461862034848,6.00000000000005,6.00000000000005,6.00000000000006,6.00000000000006,6.00000000000006,7.00000000000006,7.00000000000006,7.00000000000006,7.63922904336764,7.63922904336764,7.63922904336764,7,7,7,8,8,8,8,8,8,7,7,6.99999999999999,6.99999999999999,6.99999999999999,6.99999999999994,6.99999999999994,6.99999999999994,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0.317726584013978,0.317726584013978,1.63725388306548,2,1,1,1,1,1.55059187453321,1.55059187453321,2,2,2,2,2.47363834360309,2.47363834360309,3,3.57068737388997,3.57068737388997,4,4,4.7602264441609,4.99999999999996,4.99999999999996,5,5,5,5.99999999999997,5.99999999999997,5,5,5.89813521890065,6,6,6,6,5.99999999999998,5.99999999999998,6,6,6.00000000000006,6.00000000000006,6,6,6,6,6,6.75979298847516,6.75979298847516,7,7,6.21784313776145,6.21784313776145,6.21784313776145,6.00000000000001,6.00000000000001,0,0,5.0043506224354,5.0043506224354,2.87140263255686,2.87140263255686,3.00000000000002,3.00000000000002,3.90394187317431,3.90394187317431,4.30180547373746,4.30180547373746,4.30180547373746,5,5,5.12262444850459,5.12262444850459,6.99999999999994,6.99999999999994,6.6917470071351,6.6917470071351,6.6917470071351,8.01235175458555,8.01235175458555,9.00000000000002,9.00000000000002,9.724496095581,9.724496095581,9.724496095581,10,10,10.5294247500353,10.5294247500353,10.5294247500353,10.9999999999999,10.9999999999999,11,11,11,11,11,10.0000000000001,10.0000000000001,11,11,11,11.474308193825,11.474308193825,11.474308193825,13,13,13,13,13,13,13,13,13,13,13.4856179297113,13.4856179297113,13.4856179297113,13.0000000000001,13.0000000000001,11.1834715624312,11.1834715624312,11.1834715624312,9.00000000000009,9.00000000000009,9.00000000000009,7.21250627830526,7.21250627830526,7.99999999999994,7.99999999999994,7.99999999999994,7.49999999999999,7.49999999999999,7.49999999999999,6.00000000000009,6.00000000000009,6.00000000000009,6,6,null,null,null,7.99999999999988,7.99999999999988,7.99999999999988,6.99999999999988,6.99999999999988,6.99999999999988,7.33730931017414,7.33730931017414,7.33730931017414,6.84856755029933,6.84856755029933,7,7,7,7.99999999999994,7.99999999999994,7.99999999999994,7.6392290433676,7.6392290433676,7.6392290433676,7.00000000000003,7.00000000000003,7.00000000000003,7.99999999999998,7.99999999999998,7.99999999999998,7.99999999999994,7.99999999999994,7.99999999999994,6.99999999999994,6.99999999999994,6.88577932708807,6.88577932708807,6.88577932708807,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0.317726584013978,0.317726584013978,1.63725388306548,2,1,1,1,1,1.55059187453317,1.55059187453317,1.99999999999992,2,2,2,3,3,3,3.57068737388997,3.57068737388997,4,4,4,4.39014963538707,4.39014963538707,5,5,5,5.42262937974085,5.42262937974085,5.00000000000007,5.00000000000007,5,6,6,6,6,5.70503007322885,5.70503007322885,6,6,6.98341202974844,6.98341202974844,6,6,6,6,6,6.75979298847516,6.75979298847516,7,7,6.21784313776151,6.21784313776151,6.21784313776151,6.16891314405507,6.16891314405507,2.28437452377129e-14,2.28437452377129e-14,5.0043506224354,5.0043506224354,4.00000000000007,4.00000000000007,3.27783350512369,3.27783350512369,4.45197093658722,4.45197093658722,4.99999999999995,4.99999999999995,4.99999999999995,5,5,3.2452488970094,3.2452488970094,5.99999999999998,5.99999999999998,6.6917470071351,6.6917470071351,6.6917470071351,8.01235175458555,8.01235175458555,9.35668559562386,9.35668559562386,9.4489921911619,9.4489921911619,9.4489921911619,9.99999999999993,9.99999999999993,10.5294247500352,10.5294247500352,10.5294247500352,10.0340754762064,10.0340754762064,10.5753363314968,10.5753363314968,11,11,11,11,11,11,11,11,11,11,11,13,13,12.3781158426671,12.3781158426671,12.3781158426671,13,13,13,13,13,13,13,13,13.8573750776315,13.8573750776315,12,12,12,10.4932957996873,10.4932957996873,10.4932957996873,7.78749372169486,7.78749372169486,7,7,7,7.33169924752541,7.33169924752541,7.33169924752541,7.41689830539237,7.41689830539237,7.41689830539237,6.00000000000016,6.00000000000016,8,8,8,6,6,6,5,5,5,5.99999999999997,5.99999999999997,5.99999999999997,6.84856755029926,6.84856755029926,6.97368456289561,6.97368456289561,6.97368456289561,7,7,7,7.00000000000003,7.00000000000003,7.00000000000003,7.51917827125171,7.51917827125171,7.51917827125171,7.67285349991612,7.67285349991612,7.67285349991612,7,7,7,6.03050411358192,6.03050411358192,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.50000000000002,7.50000000000002,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0.317726584013978,0.317726584013978,1.63725388306548,2,1,1,1,1,1,1,1,2,2,2,3,3,3,3.57068737388997,3.57068737388997,4,4,4,4.39014963538707,4.39014963538707,5,5,5,5,5,5.85176900680909,5.85176900680909,5,6,6,6,6,5.70503007322885,5.70503007322885,6,6,6,6,6,6,6,6,6,6.75979298847516,6.75979298847516,7,7,7,7,7,6,6,0.284510737113709,0.284510737113709,5.0043506224354,5.0043506224354,4.87140263255679,4.87140263255679,4,4,5.45197093658714,5.45197093658714,4.34909726313129,4.34909726313129,4.34909726313129,5,5,3.2452488970094,3.2452488970094,5.7902033864699,5.7902033864699,6.6917470071351,6.6917470071351,6.6917470071351,8,8,9,9,7.72449609558102,7.72449609558102,7.72449609558102,9.1155083674902,9.1155083674902,10,10,10,10,10,11,11,11,11,11,11,11,11,11,11,11.4743081938251,11.4743081938251,11.4743081938251,13,13,12.3781158426671,12.3781158426671,12.3781158426671,13,13,13,13,13,13.5143820702886,13.5143820702886,13.5143820702886,13,13,12,12,12,12,12,12,8.78749372169477,8.78749372169477,7,7,7,6.33169924752549,6.33169924752549,6.33169924752549,7,7,7,8,8,8,8,8,null,null,null,null,null,null,5.66269068982578,5.66269068982578,5.66269068982578,6,6,7,7,7,7,7,7,7.36077095663235,7.36077095663235,7.36077095663235,7.51917827125171,7.51917827125171,7.51917827125171,8,8,8,7,7,7,7,7,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,7,7.80344193986653,7.80344193986653,7.5,7.5,7.5,7.5,7.5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,1.27450776613097,2,1,1,1,1,1,1,1.99799513703753,2,2,2,3,3,3,3.57068737388997,3.57068737388997,4,4,4,4.39014963538707,4.39014963538707,5,5,5,5,5,6,6,5.1018647810993,5.67247761313223,5.67247761313223,6,6,6,6,6,6,6,6,6,6,6,6,6,6.75979298847516,6.75979298847516,7,7,6.21784313776145,6.21784313776145,6.21784313776145,6,6,5,5,1.01740248974161,1.01740248974161,2.87140263255679,2.87140263255679,3.27783350512363,3.27783350512363,5,5,3.69819452626258,3.69819452626258,3.69819452626258,5.12549737540006,5.12549737540006,2.2452488970094,2.2452488970094,5.39510169323495,5.39510169323495,7,7,7,8,8,9,9,9,9,9,9.8844916325098,9.8844916325098,10.5294247500353,10.5294247500353,10.5294247500353,10,10,11,11,11,11,11,11,11,11.0694762396694,11.0694762396694,11.0694762396694,11,11,11,12,12,13,13,13,12,12,12,12,12,12.4856179297114,12.4856179297114,12.4856179297114,13.8573750776316,13.8573750776316,13,13,13,12.4932957996871,12.4932957996871,12.4932957996871,9.78749372169478,9.78749372169478,8.06673236413109,8.06673236413109,8.06673236413109,7,7,7,6,6,6,7,7,7.95186295595697,7.95186295595697,7.95186295595697,7,7,7,null,null,null,6,6,6,7,7,7,7,7,7,7,7,7.63922904336764,7.63922904336764,7.63922904336764,7,7,7,7.6728534999161,7.6728534999161,7.6728534999161,6,6,6,7,7,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,7,7,7,8,8,7.43851222614495,7.43851222614495,7.43851222614495,7.94463613563959,7.94463613563959,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,1.27450776613097,2,1,1,1,1,1,1,1.99799513703753,2,2,2,3,3,3,3.57068737388997,3.57068737388997,4,4,4,4,4,5,5,5,5,5,6,6,5.1018647810993,5.67247761313223,5.67247761313223,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6.24160854252813,6.24160854252813,6.21784313776145,6.21784313776145,6.21784313776145,7,7,5,5,0.0261037346124172,0.0261037346124172,2.87140263255679,2.87140263255679,2.55566701024726,2.55566701024726,5.45197093658714,5.45197093658714,4.34909726313129,4.34909726313129,4.34909726313129,4.87450262459994,4.87450262459994,2.2452488970094,2.2452488970094,5.7902033864699,5.7902033864699,6.6917470071351,6.6917470071351,6.6917470071351,8,8,9,9,9,9,9,10,10,10.5294247500353,10.5294247500353,10.5294247500353,11,11,11,11,11,11,11,12,12,12,12,12,11.4743081938251,11.4743081938251,11.4743081938251,12,12,12,12,12,12,12,12,12,12,12,12,12,13.8573750776316,13.8573750776316,13,13,13,12,12,12,11,11,9.06673236413109,9.06673236413109,9.06673236413109,7.33169924752549,7.33169924752549,7.33169924752549,6.41689830539241,6.41689830539241,6.41689830539241,6.1783339156289,6.1783339156289,7,7,7,7,7,7,null,null,null,6,6,6,7,7,7,7,7,7.1967682601254,7.1967682601254,7.1967682601254,7.63922904336764,7.63922904336764,7.63922904336764,8,8,8,7,7,7,6,6,6,6.96949588641816,6.96949588641816,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6,6,6,null,null,null,null,null,7.15072689730248,7.15072689730248,7.15072689730248,8,8,7,7,7,7,7,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.27450776613096,2,1.00000000000002,1.00000000000002,1.00000000000001,1,1,1,1.99799513703753,2,2,2.9593057230714,3,3,3,3.57068737388997,3.57068737388997,4,4,4,4,4,5,5,5,5,5,5.99999999999998,5.99999999999998,6,5.00000000000001,5.00000000000001,6,6,6,6,6,6,6,6,6.00000000000002,6.00000000000002,6,6,6,6,6,6.99999999999998,6.99999999999998,6.21784313776145,6.21784313776145,6.21784313776145,6.99999999999998,6.99999999999998,5.99999999999998,5.99999999999998,0.0217531121770142,0.0217531121770142,5,5,2.7221664948764,2.7221664948764,4.45197093658712,4.45197093658712,5.00000000000001,5.00000000000001,5.00000000000001,4.00000000000002,4.00000000000002,4.00000000000002,4.00000000000002,5.39510169323494,5.39510169323494,6,6,6,8.01235175458553,8.01235175458553,8.99999999999999,8.99999999999999,9,9,9,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,11.4743081938251,11.4743081938251,11.4743081938251,11.0382570919996,11.0382570919996,12,12,12,11,11,12,12,12,13,13,13,12.1426249223685,12.1426249223685,13.1834715624312,13.1834715624312,13.1834715624312,12,12,12,11,11,10.1334647282622,10.1334647282622,10.1334647282622,8.00000000000004,8.00000000000004,8.00000000000004,7.00000000000003,7.00000000000003,7.00000000000003,6.00000000000002,6.00000000000002,7,7,7,7,7,7,null,null,null,5,5,5,7,7,7,7,7,7,7,7,7.36077095663236,7.36077095663236,7.36077095663236,7.99999999999999,7.99999999999999,7.99999999999999,7.3271465000839,7.3271465000839,7.3271465000839,7,7,7,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.5,6.5,6.5,6.00000000000002,6.00000000000002,6.00000000000002,6,6,6,6.00000000000002,6.00000000000002,6.00000000000002,6.00000000000002,6.00000000000002,8,8,8,8.19655806013347,8.19655806013347,7.43851222614494,7.43851222614494,7.43851222614494,7.94463613563957,7.94463613563957,6.34655402619606,6.34655402619606,6.34655402619606,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.637253883065484,1.97751974538465,2,2,1.27880341779492,1.00000000000002,1.00000000000002,1.00000000000002,1.99799513703753,2,2,2.9593057230714,3,3,3,3.57068737388997,3.57068737388997,4,4,4,4,4,5,5,5,5,5,5.1482309931909,5.1482309931909,6,5.32752238686777,5.32752238686777,5.99999999999998,5.99999999999998,6,6,6,6,6.01658797025148,6.01658797025148,6.99999999999998,6.99999999999998,6,6,6,6.00000000000001,6.00000000000001,6,6,6,6,6,6.16891314405509,6.16891314405509,5.09483691237125,5.09483691237125,0.0130518673062085,0.0130518673062085,5,5,4.44433298975275,4.44433298975275,3.80788374634852,3.80788374634852,5.3490972631313,5.3490972631313,5.3490972631313,5,5,5.00000000000002,5.00000000000002,5.00000000000001,5.00000000000001,6,6,6,7.01235175458555,7.01235175458555,8.35668559562389,8.35668559562389,9,9,9,10.1155083674902,10.1155083674902,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11.6218841573329,11.6218841573329,11.6218841573329,11,11,12,12,12,13,13,13,13,13,13,13,13,12,12,12,11,11,11,11,11,10,10,10,8.58310169460762,8.58310169460762,8.58310169460762,6.82166608437112,6.82166608437112,6.95186295595697,6.95186295595697,6.95186295595697,null,null,null,null,null,null,5,5,5,7,7,7.02631543710439,7.02631543710439,7.02631543710439,7,7,7,7.63922904336763,7.63922904336763,7.63922904336763,7.51917827125171,7.51917827125171,7.51917827125171,7.00000000000001,7.00000000000001,7.00000000000001,7,7,7,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.64412851889008,6.64412851889008,6.64412851889008,6.99999999999998,6.99999999999998,6.99999999999998,6,6,6,6.79477103425798,6.79477103425798,6.99999999999999,6.99999999999999,6.99999999999999,7.99999999999998,7.99999999999998,7.99999999999998,8,8,6.99999999999999,6.99999999999999,6.99999999999999,7,7,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.637253883065471,1.97751974538465,1.99999999999999,1.99999999999999,1.99999999999999,2,2,2,2,2,2,2.9593057230714,3,3,3,3.57068737388997,3.57068737388997,4,4,4,4,4,5,5,5,5,5,5,5,5.8981352189007,5.32752238686777,5.32752238686777,5,5,6,6,6,6,6,6,6.00000000000002,6.00000000000002,6,6,6,6.24020701152484,6.24020701152484,6,6,6,6,6,6.16891314405509,6.16891314405509,5.99999999999998,5.99999999999998,0.00870124487080556,0.00870124487080556,5.12859736744321,5.12859736744321,4.72216649487638,4.72216649487638,2.45197093658713,2.45197093658713,5.6509027368687,5.6509027368687,5.6509027368687,5.1254973754001,5.1254973754001,6,6,5.60489830676505,5.60489830676505,5.69174700713509,5.69174700713509,5.69174700713509,7.01235175458553,7.01235175458553,8.35668559562387,8.35668559562387,8.99999999999999,8.99999999999999,8.99999999999999,10.1155083674902,10.1155083674902,11,11,11,11.0340754762064,11.0340754762064,10,10,11,11,11,11,11,11,11,11,11,11,11,11,11,11.6218841573329,11.6218841573329,11.6218841573329,12,12,12.84610958816,12.84610958816,12.84610958816,12,12,12,13,13,12.1834715624312,12.1834715624312,12.1834715624312,12,12,12,12,12,11.0667323641311,11.0667323641311,11.0667323641311,11,11,11,10,10,10,8,8,7,7,7,null,null,null,null,null,null,5.00000000000001,5.00000000000001,5.00000000000001,7,7,7.00000000000002,7.00000000000002,7.00000000000002,7,7,7,7.00000000000002,7.00000000000002,7.00000000000002,7.5191782712517,7.5191782712517,7.5191782712517,7.6728534999161,7.6728534999161,7.6728534999161,7,7,7,6.00000000000002,6.00000000000002,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,7,7,7,6,6,6,6,6,6,6,6,6.48096365670649,6.48096365670649,6.48096365670649,7.1507268973025,7.1507268973025,7.1507268973025,7.99999999999998,7.99999999999998,6.43851222614497,6.43851222614497,6.43851222614497,7,7,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.95503949076927,1.6612429174902,1.6612429174902,1.7211965822051,2,2,2,2,2,2,2.9593057230714,3,3,3.01069859854761,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5.8981352189007,5.32752238686776,5.32752238686776,5.00000000000004,5.00000000000004,6,6,6,6,6,6,6.9147948649898,6.9147948649898,6,6,6.00000000000003,6.24020701152483,6.24020701152483,6,6,6,6,6,6.16891314405509,6.16891314405509,5.09483691237127,5.09483691237127,0,0,5,5,5,5,2.09605812682573,2.09605812682573,5.30180547373735,5.30180547373735,5.30180547373735,6.8745026245999,6.8745026245999,5.8773755514953,5.8773755514953,5.60489830676505,5.60489830676505,5,5,5,6,6,7.35668559562386,7.35668559562386,8.72449609558099,8.72449609558099,8.72449609558099,10.1155083674902,10.1155083674902,10,10,10,12,12,11,11,11,11,11,11,11,11,11,11,11,11,11,11.0382570919996,11.0382570919996,12,12,12,12,12,12,12,12,13,13,13,13,13,13,13,13,12,12,12,12,12,12,12,12,10.3316992475255,10.3316992475255,10.3316992475255,10.4168983053924,10.4168983053924,10.4168983053924,7.8216660843711,7.8216660843711,6.95186295595697,6.95186295595697,6.95186295595697,null,null,null,null,null,null,5.33730931017426,5.33730931017426,5.33730931017426,7,7,7.97368456289557,7.97368456289557,7.97368456289557,7.1967682601254,7.1967682601254,7.1967682601254,7.99999999999997,7.99999999999997,7.99999999999997,7.00000000000004,7.00000000000004,7.00000000000004,7.6728534999161,7.6728534999161,7.6728534999161,7,7,7,6.96949588641812,6.96949588641812,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,7,6.00000000000002,6.00000000000002,6.00000000000002,6,6,6,5.99999999999999,5.99999999999999,6.48096365670651,6.48096365670651,6.48096365670651,7.99999999999996,7.99999999999996,7.99999999999996,6.99999999999997,6.99999999999997,6.99999999999998,6.99999999999998,6.99999999999998,7,7,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.977519745384654,2,2,2,2,2,2,2,2,2,2.9593057230714,3,3,3.01069859854761,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5.8981352189007,5.00000000000003,5.00000000000003,6,6,6,6,6,6,6.01658797025148,6.01658797025148,6.08520513501017,6.08520513501017,6,6,6.78634838135426,6.24020701152483,6.24020701152483,6,6,6,6,6,6.16891314405508,6.16891314405508,5.90516308762873,5.90516308762873,0,0,5.00000000000004,5.00000000000004,5.00000000000003,5.00000000000003,2.19211625365145,2.19211625365145,3.60361094747476,3.60361094747476,3.60361094747476,5.99999999999999,5.99999999999999,5.8773755514953,5.8773755514953,5.60489830676505,5.60489830676505,5.00000000000001,5.00000000000001,5.00000000000001,6.01235175458555,6.01235175458555,6.64331440437608,6.64331440437608,7.99999999999995,7.99999999999995,7.99999999999995,9.8844916325098,9.8844916325098,10,10,10,11.0340754762064,11.0340754762064,11,11,11,11,11,11,11,11,11,11,11,11,11,11.0382570919996,11.0382570919996,11.3781158426671,11.3781158426671,11.3781158426671,12,12,12.15389041184,12.15389041184,12.15389041184,13,13,13,13,13,13,13,13,12,12,12,11.7874937216947,11.7874937216947,11,11,11,11,11,11,10.4168983053924,10.4168983053924,10.4168983053924,7.82166608437113,7.82166608437113,6.99999999999996,6.99999999999996,6.99999999999996,null,null,null,null,null,null,6.33730931017422,6.33730931017422,6.33730931017422,7.00000000000004,7.00000000000004,7,7,7,7.1967682601254,7.1967682601254,7.1967682601254,7.36077095663234,7.36077095663234,7.36077095663234,7.99999999999998,7.99999999999998,7.99999999999998,7.67285349991607,7.67285349991607,7.67285349991607,6.99999999999999,6.99999999999999,6.99999999999999,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.00000000000001,7.00000000000001,7.00000000000001,6.3756812950064,6.3756812950064,6.3756812950064,5.90721036900171,5.90721036900171,5.90721036900171,5.794771034258,5.794771034258,6.99999999999996,6.99999999999996,6.99999999999996,6.99999999999996,6.99999999999996,6.99999999999996,6.19655806013347,6.19655806013347,6.43851222614491,6.43851222614491,6.43851222614491,6.94463613563955,6.94463613563955,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.977519745384654,1.99999999999996,1.99999999999996,2,2,2,2,1.99999999999994,1.99999999999997,1.99999999999997,2.9593057230714,3,3,3.01069859854761,3.99999999999998,3.99999999999998,4,4,4,4.00000000000006,4.00000000000006,5,5,5,5,5,5,5,5.89813521890065,5.67247761313225,5.67247761313225,5.99999999999997,5.99999999999997,6,6,6,6,6.01658797025148,6.01658797025148,6.08520513501017,6.08520513501017,6.00000000000005,6.00000000000005,7,6.24020701152483,6.24020701152483,6,6,6,6,6,6,6,5.09483691237124,5.09483691237124,5.99565089122228e-14,5.99565089122228e-14,5.99999999999995,5.99999999999995,5.72216649487639,5.72216649487639,2.19211625365159,2.19211625365159,1.95270821060628,1.95270821060628,1.95270821060628,5.87450262459988,5.87450262459988,5.99999999999999,5.99999999999999,5.60489830676504,5.60489830676504,5.3082529928649,5.3082529928649,5.3082529928649,5.99999999999994,5.99999999999994,5.99999999999994,5.99999999999994,6.72449609558096,6.72449609558096,6.72449609558096,9.88449163250975,9.88449163250975,9.99999999999997,9.99999999999997,9.99999999999997,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11.0382570919997,11.0382570919997,12,12,12,12.2246794553012,12.2246794553012,12.15389041184,12.15389041184,12.15389041184,12.0000000000001,12.0000000000001,12.0000000000001,13,13,13,13,13,12,12,12,11.0000000000001,11.0000000000001,11.0000000000001,11.0000000000001,11.0000000000001,10.3316992475255,10.3316992475255,10.3316992475255,11,11,11,8.64333216874219,8.64333216874219,6.04813704404304,6.04813704404304,6.04813704404304,null,null,null,null,null,null,6.33730931017422,6.33730931017422,6.33730931017422,7.99999999999995,7.99999999999995,7,7,7,7.1967682601254,7.1967682601254,7.1967682601254,7,7,7,7.51917827125171,7.51917827125171,7.51917827125171,7,7,7,6.82266720216913,6.82266720216913,6.82266720216913,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.35587148110997,7.35587148110997,7.35587148110997,6.62431870499365,6.62431870499365,6.62431870499365,6,6,6,6,6,6,6,6,6.15072689730247,6.15072689730247,6.15072689730247,5.99999999999995,5.99999999999995,5.43851222614493,5.43851222614493,5.43851222614493,6.00000000000006,6.00000000000006,6.99999999999994,6.99999999999994,6.99999999999994,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.977519745384595,1.33875708250982,1.33875708250982,2,2,2,2,1.00200486296247,1.46749483057041,1.46749483057041,2.95930572307134,3,3,3,3.57068737388997,3.57068737388997,4,4,4,5,5,5,5,5,5,5,5,5,5,6,6,5.52861600143879,5.52861600143879,6,6,6,6,6.01658797025148,6.01658797025148,6.08520513501017,6.08520513501017,6.83802972671544,6.83802972671544,7,6.24020701152482,6.24020701152482,6,6,6,6,6,6,6,5.09483691237129,5.09483691237129,0.995649377564657,0.995649377564657,5.12859736744294,5.12859736744294,6,6,4.54802906341289,4.54802906341289,4.65090273686877,4.65090273686877,4.65090273686877,5.00000000000001,5.00000000000001,5.87737555149525,5.87737555149525,5.39510169323498,5.39510169323498,5.3082529928649,5.3082529928649,5.3082529928649,5.01235175458555,5.01235175458555,5.00000000000002,5.00000000000002,5.72449609558103,5.72449609558103,5.72449609558103,8.99999999999995,8.99999999999995,9.52942475003524,9.52942475003524,9.52942475003524,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,12,12,12,12,12,12,12,11.84610958816,11.84610958816,11.84610958816,13,13,13,12.8573750776315,12.8573750776315,13,13,13,12.0000000000001,12.0000000000001,12.0000000000001,12,12,12,12,12,11,11,11,11,11,11,8.64333216874214,8.64333216874214,6.09627408808612,6.09627408808612,6.09627408808612,null,null,null,null,null,null,6.33730931017418,6.33730931017418,6.33730931017418,7.15143244970067,7.15143244970067,7,7,7,7.19676826012539,7.19676826012539,7.19676826012539,7,7,7,7.51917827125167,7.51917827125167,7.51917827125167,7,7,7,6.17733279783087,6.17733279783087,6.17733279783087,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.00000000000006,7.00000000000006,7.99999999999994,7.99999999999994,7.99999999999994,7.24863740998718,7.24863740998718,7.24863740998718,6,6,6,5.99999999999995,5.99999999999995,5.99999999999997,5.99999999999997,5.99999999999997,6,6,6,5.19655806013351,5.19655806013351,5,5,5,6.99999999999988,6.99999999999988,5.99999999999998,5.99999999999998,5.99999999999998,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.33875708250976,1.33875708250976,1.99999999999994,2,2,2,1.00200486296247,1.46749483057041,1.46749483057041,2,3,3,3,3.57068737388993,3.57068737388993,4,4,4,5,5,5,5,5.00000000000004,5.00000000000006,5.00000000000006,5.00000000000005,5.00000000000005,5.00000000000006,6,6,5.99999999999997,5.99999999999997,6,6,6,6,6.01658797025148,6.01658797025148,6.08520513501017,6.08520513501017,6.83802972671544,6.83802972671544,6.99999999999994,6,6,6,6,null,null,null,5.99999999999994,5.99999999999994,5.99999999999994,5.99999999999994,1.99129875512931,1.99129875512931,0.642986837216014,0.642986837216014,5.99999999999994,5.99999999999994,5.00000000000006,5.00000000000006,5.65090273686867,5.65090273686867,5.65090273686867,5.12549737540006,5.12549737540006,5.12262444850469,5.12262444850469,5.99999999999994,5.99999999999994,5.30825299286488,5.30825299286488,5.30825299286488,5.00000000000006,5.00000000000006,5.35668559562393,5.35668559562393,6,6,6,8.11550836749009,8.11550836749009,9,9,9,11,11,11.4246636685032,11.4246636685032,11,11,11,11,11,10.9305237603306,10.9305237603306,10.9305237603306,11,11,11,11.9999999999999,11.9999999999999,11.6218841573329,11.6218841573329,11.6218841573329,11.2246794553013,11.2246794553013,12.8461095881599,12.8461095881599,12.8461095881599,13,13,13,12.0000000000001,12.0000000000001,13,13,13,13,13,13,12,12,12,12,12,11,11,11,10.5831016946076,10.5831016946076,10.5831016946076,7.82166608437105,7.82166608437105,7,7,7,null,null,null,null,null,null,5.67461862034848,5.67461862034848,5.67461862034848,7.15143244970072,7.15143244970072,7.02631543710439,7.02631543710439,7.02631543710439,7,7,7,7,7,7,7,7,7,6.99999999999998,6.99999999999998,6.99999999999998,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.99999999999999,7.99999999999999,7,7,7,6.62431870499359,6.62431870499359,6.62431870499359,5.99999999999994,5.99999999999994,5.99999999999994,5.20522896574201,5.20522896574201,5.48096365670649,5.48096365670649,5.48096365670649,5.99999999999994,5.99999999999994,5.99999999999994,5.80344193986648,5.80344193986648,5,5,5,5,5,5.65344597380395,5.65344597380395,5.65344597380395,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.338757082509837,0.338757082509837,1.00000000000002,2,2,2,1.00200486296247,1.46749483057041,1.46749483057041,2,3,3,3,3,3,4,4,4,5,5,5,5,5.72118561572872,5.99999999999997,5.99999999999997,5.85176900680909,5.85176900680909,5.8981352189007,5.99999999999998,5.99999999999998,5.52861600143873,5.52861600143873,6,6,6,6,6,6,6,6,6.83802972671544,6.83802972671544,6,6,6,null,null,null,null,null,5,5,5,5,3.98694813269385,3.98694813269385,0,0,5,5,6,6,5.00000000000002,5.00000000000002,5.00000000000002,5,5,5.00000000000001,5.00000000000001,5.00000000000002,5.00000000000002,5.00000000000004,5.00000000000004,5.00000000000004,5.98764824541445,5.98764824541445,5.99999999999996,5.99999999999996,5.99999999999998,5.99999999999998,5.99999999999998,6.34652510247065,6.34652510247065,8.99999999999997,8.99999999999997,8.99999999999997,11,11,11,11,10.9999999999999,10.9999999999999,10.9999999999999,11,11,11,11,11,11,11,11,11,11,11.6218841573329,11.6218841573329,11.6218841573329,12,12,12,12,12,12.5143820702887,12.5143820702887,12.5143820702887,13,13,13,13,13,12.9999999999999,12.9999999999999,12.9999999999999,12,12,12.0667323641311,12.0667323641311,12.0667323641311,11.3316992475255,11.3316992475255,11.3316992475255,10.5831016946075,10.5831016946075,10.5831016946075,6.99999999999999,6.99999999999999,null,null,null,null,null,null,null,null,null,6.33730931017422,6.33730931017422,6.33730931017422,7.99999999999999,7.99999999999999,7.02631543710445,7.02631543710445,7.02631543710445,7,7,7,7,7,7,7,7,7,6.6728534999161,6.6728534999161,6.6728534999161,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.89883377299921,7.89883377299921,7,7,7,6.37568129500637,6.37568129500637,6.37568129500637,5,5,5,5.205228965742,5.205228965742,5.51903634329348,5.51903634329348,5.51903634329348,5,5,5,5,5,5.00000000000006,5.00000000000006,5.00000000000006,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.67751416501962,0.67751416501962,1.27880341779489,2,2.00000000000001,2.00000000000001,1.00200486296247,1.46749483057041,1.46749483057041,2,3,3,3,3,3,4,4,3.99999999999998,5,5,5.04374624764041,5.04374624764041,6.00000000000001,5.57737062025911,5.57737062025911,5.85176900680911,5.85176900680911,5.89813521890072,5.67247761313222,5.67247761313222,5,5,6,6,6,6,6,6,6,6,6.83802972671544,6.83802972671544,6,6,6,null,null,null,null,null,null,null,null,null,4.99129875512919,4.99129875512919,-9.5201534648098e-14,-9.5201534648098e-14,5.00000000000003,5.00000000000003,6,6,5.34909726313129,5.34909726313129,5.34909726313129,5,5,5.1226244485047,5.1226244485047,5.39510169323494,5.39510169323494,5.6917470071351,5.6917470071351,5.6917470071351,6,6,5.35668559562388,5.35668559562388,5.72449609558102,5.72449609558102,5.72449609558102,7.11550836749022,7.11550836749022,8.52942475003526,8.52942475003526,8.52942475003526,11,11,11,11,10,10,10,11,11,11,11,11,11,11,11,11,11,11.6218841573329,11.6218841573329,11.6218841573329,12.2246794553013,12.2246794553013,12.15389041184,12.15389041184,12.15389041184,13,13,13,13,13,13,13,13,12,12,12,12.2125062783052,12.2125062783052,13,13,13,12,12,12,9.74930508382277,9.74930508382277,9.74930508382277,6.8216660843711,6.8216660843711,null,null,null,null,null,null,null,null,null,6.3373093101742,6.3373093101742,6.3373093101742,7.84856755029935,7.84856755029935,8.00000000000002,8.00000000000002,8.00000000000002,7,7,7,7.00000000000001,7.00000000000001,7.00000000000001,7.00000000000001,7.00000000000001,7.00000000000001,6.6728534999161,6.6728534999161,6.6728534999161,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.50000000000001,6.50000000000001,6.50000000000001,7,7,7.00000000000001,7.00000000000001,7.00000000000001,6,6,6,4.99999999999998,4.99999999999998,4.99999999999998,5.20522896574201,5.20522896574201,5,5,5,4.99999999999998,4.99999999999998,4.99999999999998,5,5,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.33875708250982,1.33875708250982,2,2,1.44940812546679,1.44940812546679,1,1.46749483057041,1.46749483057041,2,3,3,3,3,3,4,4,4.76022644416094,5,5,5,5,5.72118561572871,5.57737062025911,5.57737062025911,5,5,5,5.67247761313223,5.67247761313223,5,5,6,6,6,6,6,6,6,6,7,7,6,6,6,null,null,null,null,null,null,null,null,null,null,null,4.74280526511358,4.74280526511358,3.55566701024726,3.55566701024726,6,6,5.34909726313129,5.34909726313129,5.34909726313129,5,5,5.1226244485047,5.1226244485047,5.60489830676505,5.60489830676505,6,6,6,6,6,5.64331440437611,5.64331440437611,5.72449609558102,5.72449609558102,5.72449609558102,6.2310167349804,6.2310167349804,9,9,9,10,10,10.5753363314967,10.5753363314967,null,null,null,11,11,11,11,11,11,11,11,12,12,12,12,12,12.2246794553013,12.2246794553013,13,13,13,13,13,13,14,14,12.1834715624312,12.1834715624312,12.1834715624312,12,12,12,12,12,12.9332676358689,12.9332676358689,12.9332676358689,11.3316992475255,11.3316992475255,11.3316992475255,10.1662033892152,10.1662033892152,10.1662033892152,6.8216660843711,6.8216660843711,null,null,null,null,null,null,null,null,null,7,7,7,7,7,7,7,7,7,7,7,6.36077095663236,6.36077095663236,6.36077095663236,6.51917827125171,6.51917827125171,6.51917827125171,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,6.14051877511438,6.14051877511438,6.14051877511438,7,7,6.35587148110993,6.35587148110993,6.35587148110993,6,6,6,5.90721036900171,5.90721036900171,5.90721036900171,5,5,5,5,5,5.84927310269752,5.84927310269752,5.84927310269752,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.977519745384653,1.33875708250982,1.33875708250982,2,1.874933593835,1,1,1,1.46749483057041,1.46749483057041,2,3,3,3,3,3,4,4,4.76022644416094,5.39014963538707,5.39014963538707,5,5,5,4.99999999999999,4.99999999999999,6,6,5.1018647810993,5,5,5.47138399856123,5.47138399856123,6,6,6,6,6,6,6,6,7,7,6,6,6,null,null,null,null,null,null,null,null,null,null,null,5,5,1.83350051537087,1.83350051537087,5.45197093658714,5.45197093658714,6.00000000000001,6.00000000000001,6.00000000000001,5.00000000000002,5.00000000000002,5,5,5,5,5.69174700713511,5.69174700713511,5.69174700713511,6,6,6,6,5.27550390441898,5.27550390441898,5.27550390441898,6.2310167349804,6.2310167349804,9.00000000000001,9.00000000000001,9.00000000000001,11,11,9.99999999999999,9.99999999999999,null,null,null,9.40736633768722,9.40736633768722,10,10,10,11.4743081938251,11.4743081938251,11.4743081938251,12,12,12,12,12,12.2246794553013,12.2246794553013,13,13,13,12.4856179297114,12.4856179297114,12.4856179297114,13,13,12,12,12,12,12,12,12.2125062783052,12.2125062783052,13,13,13,11.3316992475255,11.3316992475255,11.3316992475255,10.5831016946076,10.5831016946076,10.5831016946076,7.82166608437111,7.82166608437111,null,null,null,null,null,null,null,null,null,6.33730931017422,6.33730931017422,6.33730931017422,7,7,7.02631543710439,7.02631543710439,7.02631543710439,7,7,7,5.99999999999999,5.99999999999999,5.99999999999999,6.51917827125172,6.51917827125172,6.51917827125172,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4.99999999999999,4.99999999999999,4.99999999999999,6,6,6,7,7,6,6,6,5.3756812950064,5.3756812950064,5.3756812950064,5,5,5,5,5,5,5,5,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.977519745384653,1.33875708250982,1.33875708250982,2,1,1,1,1,1.46749483057041,1.46749483057041,2,3,3,3,3,3,4,4,4.76022644416094,5.39014963538708,5.39014963538708,5,5,5,5.42262937974089,5.42262937974089,5.85176900680909,5.85176900680909,5,5,5,5.47138399856123,5.47138399856123,6,6,6.14334013103525,6.14334013103525,6,6,6,6,7,7,6,6,6,null,null,null,null,null,null,null,null,null,null,null,5,5,2.83350051537089,2.83350051537089,5.45197093658714,5.45197093658714,5.34909726313129,5.34909726313129,5.34909726313129,4.12549737540006,4.12549737540006,5,5,5,5,5.3082529928649,5.3082529928649,5.3082529928649,6,6,6,6,5.27550390441898,5.27550390441898,5.27550390441898,6.1155083674902,6.1155083674902,8.52942475003527,8.52942475003527,8.52942475003527,11,11,10.5753363314967,10.5753363314967,null,null,null,null,null,10,10,10,11,11,11,12,12,12.6218841573329,12.6218841573329,12.6218841573329,12.2246794553013,12.2246794553013,13,13,13,12.4856179297114,12.4856179297114,12.4856179297114,13,13,12,12,12,12,12,12,13,13,13,13,13,11.3316992475255,11.3316992475255,11.3316992475255,10,10,10,7,7,null,null,null,null,null,null,null,null,null,6.33730931017422,6.33730931017422,6.33730931017422,7,7,7.02631543710439,7.02631543710439,7.02631543710439,7,7,7,6.63922904336764,6.63922904336764,6.63922904336764,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.63007630228807,5.63007630228807,5.63007630228807,6,6,6,7,7,6,6,6,5,5,5,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.977519745384653,1,1,1,1,1,1,1,1.46749483057041,1.46749483057041,2,2.47363834360306,2.47363834360306,3,3,3,4,4,4.76022644416094,5.39014963538708,5.39014963538708,5,5,5,5.42262937974089,5.42262937974089,6,6,5.1018647810993,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,6,6,6,6,6,null,null,5,5,5,5,5.69174700713511,5.69174700713511,5.69174700713511,6,6,6,6,5.72449609558102,5.72449609558102,5.72449609558102,6.1155083674902,6.1155083674902,8,8,8,10.9659245237936,10.9659245237936,9,9,null,null,null,null,null,null,null,null,10.4743081938251,10.4743081938251,10.4743081938251,12,12,12,12,12,13,13,13,13,13,12.4856179297114,12.4856179297114,12.4856179297114,13,13,12.1834715624312,12.1834715624312,12.1834715624312,13,13,13,13,13,13,13,13,10,10,10,8.16620338921518,8.16620338921518,8.16620338921518,null,null,null,null,null,null,null,null,null,null,null,7,7,7,7,7,6.97368456289561,6.97368456289561,6.97368456289561,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,7,5.63007630228807,5.63007630228807,5.63007630228807,5,5,5,6,6,5,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.977519745384556,1,1,1,1,1,1,1,1.46749483057041,1.46749483057041,2,2,2,3,3,3,4,4,4.76022644416094,4.99999999999994,4.99999999999994,5,5,5,5.99999999999994,5.99999999999994,6,6,5.1018647810993,5.00000000000003,5.00000000000003,6,6,6,6,6,6,6,6,6.00000000000009,6.00000000000009,6,6,6.00000000000002,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.9999999999999,5.9999999999999,null,null,null,null,null,5,5,4.39510169323505,4.39510169323505,5.9999999999999,5.9999999999999,5.9999999999999,5.0000000000001,5.0000000000001,6.00000000000004,6.00000000000004,6,6,6,6.1155083674901,6.1155083674901,7.47057524996464,7.47057524996464,7.47057524996464,9.96592452379364,9.96592452379364,9.15067266299359,9.15067266299359,null,null,null,null,null,null,null,null,10.474308193825,10.474308193825,10.474308193825,11.9617429080002,11.9617429080002,11,11,11,12.9999999999999,12.9999999999999,12.15389041184,12.15389041184,12.15389041184,12.4856179297114,12.4856179297114,12.4856179297114,13,13,12.1834715624312,12.1834715624312,12.1834715624312,13,13,13,12.9999999999999,12.9999999999999,12.9999999999999,12.9999999999999,12.9999999999999,10.9999999999998,10.9999999999998,10.9999999999998,8.16620338921524,8.16620338921524,8.16620338921524,null,null,null,null,null,null,null,null,null,null,null,7.66269068982571,7.66269068982571,7.66269068982571,6.84856755029933,6.84856755029933,6.97368456289551,6.97368456289551,6.97368456289551,6.19676826012543,6.19676826012543,6.19676826012543,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6,6,6,5,5,5,5,5,5,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.999999999999973,0.999999999999973,1,1,1,1,1,1.46749483057041,1.46749483057041,2,2,2,3,3.00000000000004,3.00000000000004,4.00000000000001,4.00000000000001,4.76022644416095,4.3901496353871,4.3901496353871,5,5,5,5.42262937974089,5.42262937974089,6,6,5.1018647810993,5.32752238686777,5.32752238686777,6,6,5.99999999999999,5.99999999999999,6,6,6,6,6.91479486498983,6.91479486498983,6.00000000000003,6.00000000000003,6.21365161864578,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,null,null,null,null,null,null,null,5.39510169323493,5.39510169323493,5.00000000000003,5.00000000000003,5.00000000000003,6,6,6.35668559562385,6.35668559562385,5.99999999999997,5.99999999999997,5.99999999999997,5.11550836749019,5.11550836749019,6.52942475003525,6.52942475003525,6.52942475003525,9.9318490475872,9.9318490475872,10.1506726629935,10.1506726629935,null,null,null,null,null,null,null,null,null,null,null,10.0382570919996,10.0382570919996,11,11,11,12.2246794553012,12.2246794553012,12.15389041184,12.15389041184,12.15389041184,13,13,13,13,13,13,13,13,13,13,13,12,12,12.0667323641311,12.0667323641311,12.0667323641311,9.33169924752549,9.33169924752549,9.33169924752549,8.74930508382278,8.74930508382278,8.74930508382278,null,null,null,null,null,null,null,null,null,null,null,6.99999999999997,6.99999999999997,6.99999999999997,6.8485675502993,6.8485675502993,6.00000000000004,6.00000000000004,6.00000000000004,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5.00000000000004,5.00000000000004,5.00000000000004,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.338757082509817,0.338757082509817,1,1,1,1,1,1.46749483057041,1.46749483057041,2,2.00000000000002,2.00000000000002,3.01069859854761,4,4,4.15380012359838,4.15380012359838,5,5.00000000000004,5.00000000000004,5,5,5,5.42262937974091,5.42262937974091,6,6,5.1018647810993,5.32752238686776,5.32752238686776,6,6,5.70503007322886,5.70503007322886,6,6,6,6,6.91479486498983,6.91479486498983,6.83802972671541,6.83802972671541,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,null,null,null,null,null,null,null,5,5,5.69174700713511,5.69174700713511,5.69174700713511,6,6,5.35668559562389,5.35668559562389,5.275503904419,5.275503904419,5.275503904419,4.8844916325098,4.8844916325098,5.99999999999996,5.99999999999996,5.99999999999996,7.9659245237936,7.9659245237936,10.4246636685032,10.4246636685032,null,null,null,null,null,null,null,null,null,null,null,10,10,11,11,11,12,12,12.15389041184,12.15389041184,12.15389041184,13,13,13,13,13,13,13,13,13,13,13,12,12,11.9332676358689,11.9332676358689,11.9332676358689,9.33169924752547,9.33169924752547,9.33169924752547,8.74930508382274,8.74930508382274,8.74930508382274,null,null,null,null,null,null,null,null,7,7,7,6.33730931017422,6.33730931017422,6.33730931017422,6.00000000000004,6.00000000000004,6.97368456289557,6.97368456289557,6.97368456289557,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.338757082509817,0.338757082509817,1,1,1,1,1,1.46749483057041,1.46749483057041,2,2.47363834360306,2.47363834360306,3.01069859854761,4,4,4.15380012359841,4.15380012359841,5,6,6,5,5,5,6,6,6,6,5.10186478109933,5.00000000000003,5.00000000000003,6,6,6,6,6,6,6.01658797025148,6.01658797025148,7,7,6.00000000000004,6.00000000000004,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5.69174700713506,5.69174700713506,5.69174700713506,6.01235175458555,6.01235175458555,5.35668559562396,5.35668559562396,5.72449609558104,5.72449609558104,5.72449609558104,4.76898326501965,4.76898326501965,5.00000000000002,5.00000000000002,5.00000000000002,6.9659245237936,6.9659245237936,9.42466366850318,9.42466366850318,7.00000000000004,7.00000000000004,7.00000000000004,null,null,null,null,null,null,null,null,9.99999999999988,9.99999999999988,10.6218841573329,10.6218841573329,10.6218841573329,12,12,12,12,12,13,13,13,13,13,12,12,12,13,13,13,11.7874937216948,11.7874937216948,11.066732364131,11.066732364131,11.066732364131,8.66830075247448,8.66830075247448,8.66830075247448,7.74930508382275,7.74930508382275,7.74930508382275,null,null,null,null,null,null,null,null,6.99999999999998,6.99999999999998,6.99999999999998,6.33730931017422,6.33730931017422,6.33730931017422,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.338757082509843,0.338757082509843,1,1,1,1,1,1.46749483057041,1.46749483057041,2,2.47363834360306,2.47363834360306,3.01069859854761,4,4,5,5,5.00000000000003,6,6,5,5,5,6,6,6,6,6,5.67247761313222,5.67247761313222,6,6,6.00000000000001,6.00000000000001,6,6,6.01658797025148,6.01658797025148,7,7,7,7,null,null,null,null,null,null,null,null,5.00000000000001,5.00000000000001,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,4.69174700713503,4.69174700713503,4.69174700713503,6.01235175458555,6.01235175458555,7,7,6.27550390441897,6.27550390441897,6.27550390441897,6.00000000000004,6.00000000000004,5.47057524996477,5.47057524996477,5.47057524996477,5.99999999999996,5.99999999999996,7.42466366850326,7.42466366850326,8.09472533596505,8.09472533596505,8.09472533596505,null,null,null,null,null,null,null,null,7,7,9.86565247199884,9.86565247199884,9.86565247199884,11,11,11.84610958816,11.84610958816,11.84610958816,13,13,13,13,13,12,12,12,13,13,13,12,12,9.13346472826221,9.13346472826221,9.13346472826221,8,8,8,7.16620338921518,7.16620338921518,7.16620338921518,null,null,null,null,null,null,null,null,6.53213684693882,6.53213684693882,6.53213684693882,6.33730931017424,6.33730931017424,6.33730931017424,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1.46749483057045,1.46749483057045,2,2.47363834360306,2.47363834360306,3.01069859854767,4,4,5,5,5.76022644416094,6,6,5,5,5,6,6,6,6,6,5.67247761313223,5.67247761313223,6,6,6.29496992677111,6.29496992677111,6,6,6.01658797025148,6.01658797025148,6.99999999999994,6.99999999999994,6.99999999999994,6.99999999999994,null,null,null,null,null,5.00000000000006,5.00000000000006,5.00000000000006,5.16891314405514,5.16891314405514,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.92475897859477,2.92475897859477,2.92475897859477,6.01235175458561,6.01235175458561,7,7,6.00000000000002,6.00000000000002,6.00000000000002,7.00000000000006,7.00000000000006,6.47057524996476,6.47057524996476,6.47057524996476,5.03407547620636,5.03407547620636,7.42466366850317,7.42466366850317,9.90527466403496,9.90527466403496,9.90527466403496,7.00000000000016,7.00000000000016,null,null,null,null,null,null,7.07651418399925,7.07651418399925,11,11,11,11,11,12,12,12,13,13,13,13.0000000000001,13.0000000000001,12.8165284375688,12.8165284375688,12.8165284375688,13,13,13,12.7874937216948,12.7874937216948,10,10,10,7.99999999999996,7.99999999999996,7.99999999999996,7.16620338921511,7.16620338921511,7.16620338921511,null,null,null,null,null,null,null,null,6,6,6,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5.88647697137957e-14,1,1,1,1,1,1,1.00000000000006,2,2,2,2.47363834360306,2.47363834360306,4,4,4,5,5,5.76022644416094,6,6,5.00000000000006,5.00000000000006,5.00000000000002,6,6,6,6,5.99999999999994,5.67247761313225,5.67247761313225,6,6,5.70503007322887,5.70503007322887,6,6,6.01658797025148,6.01658797025148,6.08520513501017,6.08520513501017,6,6,null,null,null,6,6,6,6,6,6.00000000000001,6.00000000000001,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4.3082529928649,4.3082529928649,4.3082529928649,6.99999999999994,6.99999999999994,7,7,6.275503904419,6.275503904419,6.275503904419,8,8,7.00000000000006,7.00000000000006,7.00000000000006,5.03407547620636,5.03407547620636,5.99999999999997,5.99999999999997,8.81054932806999,8.81054932806999,8.81054932806999,9.59263366231277,9.59263366231277,8.00000000000006,8.00000000000006,8.00000000000006,null,null,null,null,null,null,null,null,10.2246794553012,10.2246794553012,12,12,12,13,13,13,14,14,13,13,13,13,13,13,12.5749874433895,12.5749874433895,10,10,10,7.33169924752547,7.33169924752547,7.33169924752547,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1.27914903178806e-14,0.977519745384653,1,1,1,1,1,1,1.99799513703753,2,2,2,2.47363834360304,2.47363834360304,4,3.99999999999999,3.99999999999999,5,5,5.76022644416094,6,6,6.00000000000002,6.00000000000002,5.2788143842713,6,6,6.00000000000002,6.00000000000002,5.1018647810993,6.00000000000001,6.00000000000001,6,6,6,6,6,6,6.01658797025148,6.01658797025148,6.08520513501017,6.08520513501017,5.99999999999998,5.99999999999998,null,null,null,6,6,6,6,6,6.16891314405509,6.16891314405509,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4.30825299286488,4.30825299286488,4.30825299286488,6.01235175458557,6.01235175458557,7,7,6.55100780883796,6.55100780883796,6.55100780883796,8.00000000000003,8.00000000000003,7.94115049992945,7.94115049992945,7.94115049992945,5.03407547620634,5.03407547620634,5.42466366850324,5.42466366850324,7.90527466403506,7.90527466403506,7.90527466403506,9.40736633768724,9.40736633768724,9.00000000000004,9.00000000000004,9.00000000000004,null,null,null,null,null,null,null,null,8.67403836590374,8.67403836590374,12,12,12,13,13,13,14,14,13,13,13,13,13,13,12.5749874433895,12.5749874433895,10,10,10,7,7,7,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.637253883065484,1,1,1,1,1,0.999999999999989,0.999999999999989,1.99799513703753,2,2,2,3,3,4.00000000000002,4.57068737388997,4.57068737388997,5,5,5.76022644416094,6,6,5,5,5,6,6,5,5,4.99999999999998,5.67247761313222,5.67247761313222,6.00000000000001,6.00000000000001,6,6,6,6,6,6,6,6,6.83802972671546,6.83802972671546,null,null,null,6,6,6,6,6,6.16891314405509,6.16891314405509,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4.99999999999999,4.99999999999999,4.99999999999999,5.0247035091711,5.0247035091711,6.99999999999998,6.99999999999998,6.99999999999998,6.99999999999998,6.99999999999998,6.34652510247058,6.34652510247058,8.47057524996474,8.47057524996474,8.47057524996474,6.03407547620634,6.03407547620634,6,6,6,6,6,8.40736633768723,8.40736633768723,7.13895247933882,7.13895247933882,7.13895247933882,null,null,null,null,null,null,null,null,8.67403836590371,8.67403836590371,12.84610958816,12.84610958816,12.84610958816,13,13,13,14,14,13,13,13,13,13,13,12.5749874433895,12.5749874433895,9.99999999999998,9.99999999999998,9.99999999999998,7.00000000000002,7.00000000000002,7.00000000000002,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.637253883065484,1,1,1,1,1,1.55059187453321,1.55059187453321,2,2,2,2,3,3,3.01069859854761,4.57068737388997,4.57068737388997,5.15380012359838,5.15380012359838,6.00000000000001,6,6,5,5,5,6,6,4.99999999999998,4.99999999999998,5.8981352189007,5.67247761313222,5.67247761313222,5.47138399856124,5.47138399856124,6,6,6,6,6,6,6,6,6,6,null,null,null,6,6,5.99999999999998,5.99999999999998,5.99999999999998,5.99999999999998,5.99999999999998,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,5,5,5.3082529928649,5.3082529928649,5.3082529928649,5.0247035091711,5.0247035091711,8.00000000000001,8.00000000000001,7.72449609558101,7.72449609558101,7.72449609558101,7.23101673498042,7.23101673498042,7.99999999999999,7.99999999999999,7.99999999999999,7.03407547620634,7.03407547620634,6,6,5.99999999999998,5.99999999999998,5.99999999999998,7.81473267537445,7.81473267537445,8.99999999999998,8.99999999999998,8.99999999999998,null,null,null,null,null,null,null,null,10.2246794553012,10.2246794553012,12.84610958816,12.84610958816,12.84610958816,13.4856179297114,13.4856179297114,13.4856179297114,14,14,13,13,13,13,13,13,12.7874937216948,12.7874937216948,11,11,11,5.99999999999996,5.99999999999996,5.99999999999996,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.637253883065484,1,1,1,1,1,1.55059187453317,1.55059187453317,1.99999999999992,1.99999999999996,1.99999999999996,2,3.00000000000004,3.00000000000004,3.01069859854761,4.57068737388997,4.57068737388997,5.15380012359838,5.15380012359838,5.23977355583906,6,6,5,5,5.00000000000002,5.99999999999995,5.99999999999995,6,6,6,5.67247761313223,5.67247761313223,5,5,6,6,6,6,6,6,6,6,6,6,6,5.50000000000002,5.50000000000002,5.75839145747189,5.75839145747189,6.7821568622385,6.7821568622385,6.7821568622385,6.83108685594485,6.83108685594485,6,6,6.00000000000008,6.00000000000008,6,6,5.00000000000008,5.00000000000008,6,6,null,null,null,null,null,null,null,5,5,5,5,5,5.03705526375681,5.03705526375681,7.35668559562394,7.35668559562394,8,8,8,6.23101673498055,6.23101673498055,8.52942475003522,8.52942475003522,8.52942475003522,8.00000000000008,8.00000000000008,6.00000000000008,6.00000000000008,7,7,7,7.22209901306167,7.22209901306167,9.9305237603305,9.9305237603305,9.9305237603305,null,null,null,null,null,null,null,null,10.2246794553012,10.2246794553012,12.8461095881599,12.8461095881599,12.8461095881599,13.4856179297114,13.4856179297114,13.4856179297114,13.8573750776315,13.8573750776315,13,13,13,13,13,13,11.9999999999999,11.9999999999999,10.0667323641311,10.0667323641311,10.0667323641311,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.63725388306542,0.999999999999998,1,1,1,1,1,1,1,1.46749483057041,1.46749483057041,2,3.47363834360306,3.47363834360306,3.01069859854761,4.57068737388997,4.57068737388997,5.15380012359838,5.15380012359838,5.23977355583906,6,6,5.0437462476405,5.0437462476405,5.27881438427134,5.42262937974091,5.42262937974091,6,6,6,5.67247761313222,5.67247761313222,5.00000000000005,5.00000000000005,6,6,6,6,6,6,6,6,6,6,6,5.75979298847519,5.75979298847519,6.00000000000002,6.00000000000002,6.21784313776143,6.21784313776143,6.21784313776143,6,6,6.00000000000001,6.00000000000001,6.9956493775645,6.9956493775645,null,null,6,6,6,6,5.49999999999998,5.49999999999998,5.49999999999998,null,null,null,null,5,5,5,5,5,7,7,8,8,8.0000000000001,8.0000000000001,8.0000000000001,8.11550836749029,8.11550836749029,7.94115049992947,7.94115049992947,7.94115049992947,9,9,6.99999999999996,6.99999999999996,7,7,7,7.40736633768728,7.40736633768728,9.00000000000008,9.00000000000008,9.00000000000008,null,null,null,null,null,null,null,null,10.2246794553012,10.2246794553012,12.0000000000001,12.0000000000001,12.0000000000001,14,14,14,13,13,13,13,13,13,13,13,11,11,10.0667323641311,10.0667323641311,10.0667323641311,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.977519745384654,1,1,1,1,1,1,1.00000000000008,1.46749483057046,1.46749483057046,2.00000000000008,3.47363834360306,3.47363834360306,3.01069859854769,4.57068737388997,4.57068737388997,5.15380012359843,5.15380012359843,5.23977355583904,6,6,5.95625375235952,5.95625375235952,5.72118561572865,5.57737062025906,5.57737062025906,5.99999999999993,5.99999999999993,6,5.67247761313225,5.67247761313225,5.52861600143876,5.52861600143876,5.99999999999994,5.99999999999994,5.99999999999993,5.99999999999993,6,6,6,6,6,6,6,6.00000000000006,6.00000000000006,6.24160854252807,6.24160854252807,6,6,6,6.00000000000008,6.00000000000008,6.09483691237131,6.09483691237131,6.00000000000008,6.00000000000008,null,null,6,6,6.00000000000004,6.00000000000004,5.34909726313137,5.34909726313137,5.34909726313137,6,6,6,6,5.00000000000005,5.00000000000005,5,5,5,7,7,8.00000000000008,8.00000000000008,9.00000000000006,9.00000000000006,9.00000000000006,9.00000000000001,9.00000000000001,8.00000000000004,8.00000000000004,8.00000000000004,8.99999999999991,8.99999999999991,6.57533633149682,6.57533633149682,7,7,7,7.99999999999992,7.99999999999992,9.861047520661,9.861047520661,9.861047520661,9.99999999999992,9.99999999999992,9.99999999999992,null,null,null,null,null,10.2246794553013,10.2246794553013,12.84610958816,12.84610958816,12.84610958816,14,14,14,13,13,13,13,13,12.4932957996871,12.4932957996871,12.4932957996871,11,11,10.0667323641309,10.0667323641309,10.0667323641309,null,null,null,null,null,null,null,null,null,null,null,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.27914903178806e-14,0.977519745384654,1,1,1,1,1.00000000000001,1.00000000000001,1.99799513703753,2.00000000000001,2.00000000000001,2.9593057230714,3.47363834360307,3.47363834360307,4,4.57068737388998,4.57068737388998,5.84619987640162,5.84619987640162,5,6,6,5,5,5,5.00000000000001,5.00000000000001,5.1482309931909,5.1482309931909,5.99999999999998,6,6,5.52861600143877,5.52861600143877,5.29496992677115,5.29496992677115,5.14334013103525,5.14334013103525,6,6,6,6,6,6,6,6.75979298847516,6.75979298847516,5.48321708505628,5.48321708505628,6,6,6,6.99999999999998,6.99999999999998,7,7,7,7,6,6,6,6,6.45197093658714,6.45197093658714,6.3490972631313,6.3490972631313,6.3490972631313,6,6,6,6,5.60489830676504,5.60489830676504,5.00000000000001,5.00000000000001,5.00000000000001,6.99999999999998,6.99999999999998,8.99999999999999,8.99999999999999,9.72449609558098,9.72449609558098,9.72449609558098,9.11550836749022,9.11550836749022,8.47057524996474,8.47057524996474,8.47057524996474,7.93184904758727,7.93184904758727,7.57533633149677,7.57533633149677,7,7,7,7,7,8.06947623966945,8.06947623966945,8.06947623966945,9.00000000000002,9.00000000000002,9.00000000000002,null,null,null,null,null,11.2246794553012,11.2246794553012,12.84610958816,12.84610958816,12.84610958816,14,14,14,13,13,13,13,13,11.4932957996871,11.4932957996871,11.4932957996871,10.7874937216948,10.7874937216948,8.06673236413109,8.06673236413109,8.06673236413109,null,null,null,null,null,null,null,null,null,null,null,6.99999999999998,6.99999999999998,6.99999999999998,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.637253883065484,1,1,1,1,1,1.55059187453321,1.55059187453321,2,2.46749483057041,2.46749483057041,3,4,4,4.01069859854761,5,5,5.84619987640161,5.84619987640161,5.00000000000001,6,6,5,5,5,5.42262937974088,5.42262937974088,5,5,5,5.99999999999999,5.99999999999999,5.52861600143877,5.52861600143877,5.29496992677115,5.29496992677115,5.14334013103525,5.14334013103525,6.01658797025148,6.01658797025148,6.08520513501017,6.08520513501017,6,6,6.21365161864575,6.75979298847516,6.75979298847516,6.24160854252813,6.24160854252813,6,6,6,6,6,7,7,7,7,6,6,6,6,6.45197093658713,6.45197093658713,6.99999999999998,6.99999999999998,6.99999999999998,6,6,6,6,5.00000000000001,5.00000000000001,5.69174700713511,5.69174700713511,5.69174700713511,6.02470350917112,6.02470350917112,8.64331440437611,8.64331440437611,8.00000000000001,8.00000000000001,8.00000000000001,10,10,8.94115049992946,8.94115049992946,8.94115049992946,7.03407547620638,7.03407547620638,8.57533633149676,8.57533633149676,7.09472533596499,7.09472533596499,7.09472533596499,7,7,8.93052376033057,8.93052376033057,8.93052376033057,10,10,10,null,null,null,null,null,11.2246794553012,11.2246794553012,12.84610958816,12.84610958816,12.84610958816,14,14,14,13,13,13,13,13,11,11,11,10.7874937216948,10.7874937216948,8.06673236413109,8.06673236413109,8.06673236413109,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.637253883065484,1,1,1,1,1,1.55059187453321,1.55059187453321,2,2.46749483057041,2.46749483057041,3,4,4,4.01069859854765,5,5,5.15380012359838,5.15380012359838,5.23977355583906,5.99999999999996,5.99999999999996,5,5,5,5,5,5,5,5.00000000000004,5.32752238686776,5.32752238686776,5.99999999999998,5.99999999999998,5.29496992677118,5.29496992677118,5.14334013103525,5.14334013103525,6,6,6,6,5.99999999999999,5.99999999999999,6.21365161864575,6.75979298847513,6.75979298847513,6.24160854252813,6.24160854252813,6,6,6,6.00000000000003,6.00000000000003,7,7,7,7,6.12859736744324,6.12859736744324,6,6,6,6,6,6,6,6,6,6,6,5.60489830676505,5.60489830676505,5.69174700713513,5.69174700713513,5.69174700713513,7.0247035091711,7.0247035091711,8.35668559562392,8.35668559562392,8.72449609558103,8.72449609558103,8.72449609558103,9.88449163250976,9.88449163250976,9,9,9,8.00000000000008,8.00000000000008,8.99999999999992,8.99999999999992,7.90527466403499,7.90527466403499,7.90527466403499,6.99999999999999,6.99999999999999,8.93052376033057,8.93052376033057,8.93052376033057,9.99999999999996,9.99999999999996,9.99999999999996,null,null,null,null,null,11.2246794553013,11.2246794553013,13,13,13,14,14,14,13,13,13,13,13,11,11,11,9.99999999999996,9.99999999999996,8.06673236413112,8.06673236413112,8.06673236413112,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,0,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.637253883065484,1,1,1,1,1,1.55059187453321,1.55059187453321,2,2.46749483057041,2.46749483057041,3,4,4,4.99999999999998,5,5,5.15380012359838,5.15380012359838,5.23977355583905,5,5,5,5,5,5,5,5,5,5.8981352189007,5,5,5.47138399856123,5.47138399856123,6,6,5.14334013103525,5.14334013103525,6,6,6,6,5.83802972671543,5.83802972671543,6.21365161864575,6,6,6.24160854252813,6.24160854252813,6,6,6,6.83108685594491,6.83108685594491,7,7,7,7,7,7,6,6,6.00000000000001,6.00000000000001,6.00000000000001,6.00000000000001,6.00000000000001,6.00000000000002,6.00000000000002,6,6,5.60489830676506,5.60489830676506,6.3834940142702,6.3834940142702,6.3834940142702,7.02470350917112,7.02470350917112,9,9,9,9,9,8.8844916325098,8.8844916325098,9.00000000000002,9.00000000000002,9.00000000000002,9.96592452379364,9.96592452379364,7,7,7,7,7,6.81473267537444,6.81473267537444,9,9,9,9,9,9,null,null,10,10,10,12.2246794553013,12.2246794553013,13,13,13,14,14,14,13,13,12,12,12,10.4932957996871,10.4932957996871,10.4932957996871,8.99999999999999,8.99999999999999,8.99999999999998,8.99999999999998,8.99999999999998,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.637253883065484,1,1,1,1,1,1.55059187453321,1.55059187453321,2,2.46749483057041,2.46749483057041,3,4,4,4.01069859854761,4.99999999999996,4.99999999999996,5,5,5,5.00000000000002,5.00000000000002,5,5,5,5,5,5,5,5.8981352189007,5,5,5.47138399856122,5.47138399856122,6,6,5.14334013103528,5.14334013103528,5.99999999999996,5.99999999999996,6,6,5.16197027328459,5.16197027328459,6.00000000000003,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,6.00000000000004,6.00000000000004,6.45197093658716,6.45197093658716,6.34909726313132,6.34909726313132,6.34909726313132,6.99999999999996,6.99999999999996,6,6,5.99999999999998,5.99999999999998,5.69174700713512,5.69174700713512,5.69174700713512,8,8,9,9,9.00000000000004,9.00000000000004,9.00000000000004,9,9,9.99999999999992,9.99999999999992,9.99999999999992,9.99999999999996,9.99999999999996,7.00000000000006,7.00000000000006,6.99999999999999,6.99999999999999,6.99999999999999,6.81473267537448,6.81473267537448,9,9,9,9,9,9,null,null,10.8656524719988,10.8656524719988,10.8656524719988,12.2246794553013,12.2246794553013,13.84610958816,13.84610958816,13.84610958816,13.5143820702887,13.5143820702887,13.5143820702887,13,13,11.1834715624312,11.1834715624312,11.1834715624312,9.99999999999998,9.99999999999998,9.99999999999998,8.57498744338948,8.57498744338948,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,0,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.637253883065484,1,1,1,1,1,1.55059187453321,1.55059187453321,2,2.46749483057039,2.46749483057039,3,4,4,4,4,4,5,5,5,5.6098503646129,5.6098503646129,5,5,5,5,5,5,5,5.8981352189007,5,5,5,5,6,6,5.85665986896475,5.85665986896475,5.01658797025148,5.01658797025148,6,6,6,6,6.78634838135425,6,6,6,6,6,6,6,7,7,7,7,7.00000000000004,7.00000000000004,7,7,7,7,6.99999999999998,6.99999999999998,7,7,7,6.12549737540009,6.12549737540009,6,6,5.39510169323495,5.39510169323495,6,6,6,8.00000000000004,8.00000000000004,9,9,10,10,10,9.00000000000004,9.00000000000004,8.00000000000004,8.00000000000004,8.00000000000004,9,9,8.57533633149677,8.57533633149677,6.90527466403503,6.90527466403503,6.90527466403503,7.81473267537444,7.81473267537444,9,9,9,null,null,null,9.00000000000001,9.00000000000001,11.2437683146659,11.2437683146659,11.2437683146659,12.2246794553013,12.2246794553013,13.84610958816,13.84610958816,13.84610958816,14,14,14,12.8573750776316,12.8573750776316,11,11,11,9.49329579968714,9.49329579968714,9.49329579968714,6.78749372169478,6.78749372169478,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,null,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-6.37767243346942e-15,-6.37767243346942e-15,0.637253883065477,1,1,1,1,0.999999999999998,1.55059187453321,1.55059187453321,2,2,2,2.9593057230714,4,4,4,4,4,5.00000000000002,5.00000000000002,5.00000000000002,5,5,5,5,5,5.00000000000001,5.00000000000001,5,5,5.89813521890072,4.99999999999999,4.99999999999999,4.99999999999999,4.99999999999999,6.00000000000001,6.00000000000001,5.85665986896475,5.85665986896475,5.01658797025148,5.01658797025148,6,6,6,6,6.78634838135426,6,6,6,6,6,6,6,7,7,7,7,7.99564937756462,7.99564937756462,7,7,7,7,6.45197093658712,6.45197093658712,6.99999999999999,6.99999999999999,6.99999999999999,6.87450262459993,6.87450262459993,6,6,5.39510169323495,5.39510169323495,5.99999999999999,5.99999999999999,5.99999999999999,8.98764824541447,8.98764824541447,9,9,10,10,10,10,10,8.94115049992944,8.94115049992944,8.94115049992944,8.96592452379364,8.96592452379364,9.15067266299352,9.15067266299352,7.00000000000002,7.00000000000002,7.00000000000002,7.81473267537444,7.81473267537444,8.93052376033059,8.93052376033059,8.93052376033059,9,9,9,9.07651418399917,9.07651418399917,11.2437683146659,11.2437683146659,11.2437683146659,13,13,13.84610958816,13.84610958816,13.84610958816,13.4856179297114,13.4856179297114,13.4856179297114,12.8573750776316,12.8573750776316,10.1834715624312,10.1834715624312,10.1834715624312,9.49329579968716,9.49329579968716,9.49329579968716,6.78749372169477,6.78749372169477,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,null,null,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.317726584013978,0.317726584013978,1,1,1,1,1,1.12506640616502,2.00000000000002,2.00000000000002,2,2,2,2.9593057230714,4,4,4,4,4,4,4,4,5.00000000000002,5.00000000000002,4.99999999999996,4.99999999999996,5.00000000000003,4.57737062025913,4.57737062025913,5,5,5,5.67247761313222,5.67247761313222,5.52861600143879,5.52861600143879,5.29496992677116,5.29496992677116,5.85665986896474,5.85665986896474,5.01658797025148,5.01658797025148,6.00000000000001,6.00000000000001,5.83802972671544,5.83802972671544,6,6,6,6,6,6,6,6,7,7,6.90516308762876,6.90516308762876,7,7,6.99999999999999,6.99999999999999,7,7,7,7,7.34909726313127,7.34909726313127,7.34909726313127,7.00000000000003,7.00000000000003,5.8773755514953,5.8773755514953,5.39510169323495,5.39510169323495,6.6917470071351,6.6917470071351,6.6917470071351,8.00000000000008,8.00000000000008,9,9,9.72449609558105,9.72449609558105,9.72449609558105,9.1155083674902,9.1155083674902,10,10,10,8.96592452379364,8.96592452379364,7.57533633149677,7.57533633149677,6,6,6,7.81473267537445,7.81473267537445,7.93052376033057,7.93052376033057,7.93052376033057,null,null,null,null,null,null,null,null,12.2246794553013,12.2246794553013,13,13,13,13,13,13,12.8573750776316,12.8573750776316,10.1834715624312,10.1834715624312,10.1834715624312,8.49329579968718,8.49329579968718,8.49329579968718,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.317726584013978,0.317726584013978,1,1,1,1,1,1,1.55059187453321,1.55059187453321,2,2,2,2.9593057230714,4,4,4.00000000000008,4,4,4,4,4,4.39014963538708,4.39014963538708,5.95625375235952,5.95625375235952,4.27881438427124,3.99999999999992,3.99999999999992,4.99999999999992,4.99999999999992,4.99999999999999,5.67247761313217,5.67247761313217,5,5,5,5,6,6,5,5,5.91479486498983,5.91479486498983,5.83802972671546,5.83802972671546,6.00000000000002,6,6,6.00000000000008,6.00000000000008,6,6,6,6.99999999999993,6.99999999999993,7,7,7.0043506224354,7.0043506224354,7.1285973674432,7.1285973674432,7,7,7.00000000000004,7.00000000000004,7.99999999999997,7.99999999999997,7.99999999999997,6.12549737540006,6.12549737540006,5.8773755514953,5.8773755514953,5.39510169323492,5.39510169323492,6.6917470071351,6.6917470071351,6.6917470071351,6.0247035091711,6.0247035091711,8.99999999999995,8.99999999999995,9,9,9,9.00000000000007,9.00000000000007,10,10,10,9.03407547620644,9.03407547620644,7.00000000000003,7.00000000000003,6,6,6,7.40736633768717,7.40736633768717,7.93052376033058,7.93052376033058,7.93052376033058,7,7,7,null,null,null,null,null,11.2246794553011,11.2246794553011,13,13,13,13,13,13,12.8573750776316,12.8573750776316,10.1834715624312,10.1834715624312,10.1834715624312,7.4932957996871,7.4932957996871,7.4932957996871,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.317726584013958,0.317726584013958,0.999999999999978,1,1,1,1,1,1.55059187453321,1.55059187453321,2,2,2,2.95930572307134,3.99999999999994,3.99999999999994,4.98930140145233,4,4,4,4,3.99999999999995,4.39014963538705,4.39014963538705,4.99999999999988,4.99999999999988,3.55762876854256,3,3,4,4,4.89813521890065,5,5,5,5,5,5,6,6,5,5,5.91479486498984,5.91479486498984,6,6,6.21365161864578,6.00000000000005,6.00000000000005,7,7,6,6,6,6.16891314405509,6.16891314405509,7.00000000000005,7.00000000000005,7.0043506224354,7.0043506224354,6.99999999999995,6.99999999999995,7.00000000000006,7.00000000000006,7.54802906341283,7.54802906341283,7.65090273686871,7.65090273686871,7.65090273686871,6.12549737540006,6.12549737540006,5.87737555149525,5.87737555149525,5,5,6.69174700713506,6.69174700713506,6.69174700713506,6.02470350917116,6.02470350917116,8.35668559562387,8.35668559562387,8.99999999999996,8.99999999999996,8.99999999999996,9.8844916325098,9.8844916325098,10.5294247500353,10.5294247500353,10.5294247500353,10.0340754762065,10.0340754762065,7.42466366850336,7.42466366850336,6.00000000000006,6.00000000000006,6.00000000000006,6.81473267537452,6.81473267537452,8,8,8,7.05138361235004,7.05138361235004,7.05138361235004,null,null,null,null,null,9.67403836590377,9.67403836590377,12.84610958816,12.84610958816,12.84610958816,13,13,13,12.8573750776315,12.8573750776315,10.1834715624312,10.1834715624312,10.1834715624312,7.00000000000003,7.00000000000003,7.00000000000003,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.637253883065446,0.999999999999999,1,1,1,1,1.55059187453318,1.55059187453318,1.99999999999994,1.99999999999997,1.99999999999997,2,3,3,4,4,4,4,4,3.2397735558391,4,4,3,3,2.99999999999998,3,3,4,4,4.00000000000005,5,5,5,5,5,5,6,6,5.01658797025148,5.01658797025148,6,6,6,6,6.7863483813542,6.75979298847518,6.75979298847518,7,7,6,6,6,6.16891314405509,6.16891314405509,7.90516308762871,7.90516308762871,6.9956493775646,6.9956493775646,6.12859736744326,6.12859736744326,7.99999999999994,7.99999999999994,7.00000000000003,7.00000000000003,7.65090273686867,7.65090273686867,7.65090273686867,6.12549737540011,6.12549737540011,5.12262444850469,5.12262444850469,5,5,6,6,6,6.99999999999994,6.99999999999994,7.99999999999994,7.99999999999994,8.27550390441903,8.27550390441903,8.27550390441903,9.88449163250975,9.88449163250975,11.0588495000706,11.0588495000706,11.0588495000706,12.9659245237936,12.9659245237936,9.15067266299361,9.15067266299361,7,7,7,8.22209901306169,8.22209901306169,8.06947623966948,8.06947623966948,8.06947623966948,9.99999999999994,9.99999999999994,9.99999999999994,10.0000000000001,10.0000000000001,null,null,null,9.99999999999982,9.99999999999982,12.69221917632,12.69221917632,12.69221917632,12.4856179297114,12.4856179297114,12.4856179297114,12,12,10.1834715624311,10.1834715624311,10.1834715624311,7.49329579968714,7.49329579968714,7.49329579968714,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,null,0,0,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.977519745384556,0.999999999999966,0.999999999999966,0.999999999999972,0.999999999999987,0.999999999999955,0.999999999999955,1,1.46749483057037,1.46749483057037,2,3,3,3.9999999999999,4,4,4.00000000000002,4.00000000000002,4.0000000000001,4.00000000000006,4.00000000000006,2.95625375235949,2.95625375235949,2.7211856157286,3,3,4.00000000000001,4.00000000000001,4.89813521890071,5.00000000000007,5.00000000000007,5.0000000000001,5.0000000000001,5,5,6,6,5.01658797025148,5.01658797025148,5.99999999999999,5.99999999999999,6,6,6.00000000000008,6.9999999999999,6.9999999999999,6.99999999999982,6.99999999999982,6,6,6,6.16891314405515,6.16891314405515,7.09483691237123,7.09483691237123,7.0000000000001,7.0000000000001,7.0000000000001,7.0000000000001,7,7,7.45197093658714,7.45197093658714,7,7,7,7,7,5.00000000000009,5.00000000000009,5.00000000000006,5.00000000000006,5.99999999999997,5.99999999999997,5.99999999999997,6.01235175458555,6.01235175458555,7,7,8.9999999999998,8.9999999999998,8.9999999999998,9.1155083674902,9.1155083674902,11.5294247500353,11.5294247500353,11.5294247500353,12.9659245237936,12.9659245237936,11.1506726629938,11.1506726629938,7.00000000000041,7.00000000000041,7.00000000000041,8.81473267537444,8.81473267537444,8.93052376033077,8.93052376033077,8.93052376033077,9.0000000000001,9.0000000000001,9.0000000000001,11,11,null,null,null,null,null,12.6922191763199,12.6922191763199,12.6922191763199,12.4856179297113,12.4856179297113,12.4856179297113,11.8573750776313,11.8573750776313,8.9999999999998,8.9999999999998,8.9999999999998,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.66124291749017,0.66124291749017,0.721196582205079,0.874933593834964,0.550591874533203,0.550591874533203,0.99999999999998,1,1,1.9593057230714,3,3,3.01069859854761,3.99999999999998,3.99999999999998,4.15380012359838,4.15380012359838,5,4.60985036461291,4.60985036461291,1.95625375235959,1.95625375235959,1.72118561572871,3.00000000000001,3.00000000000001,4.14823099319092,4.14823099319092,5,5.67247761313222,5.67247761313222,5.99999999999998,5.99999999999998,5.00000000000001,5.00000000000001,6,6,5.00000000000002,5.00000000000002,5.91479486498983,5.91479486498983,6,6,6.78634838135425,6,6,5.24160854252813,5.24160854252813,5.99999999999998,5.99999999999998,5.99999999999998,6.83108685594491,6.83108685594491,7,7,7.9956493775646,7.9956493775646,8,8,7,7,7.45197093658713,7.45197093658713,7,7,7,7,7,5.8773755514953,5.8773755514953,5.60489830676504,5.60489830676504,5.69174700713511,5.69174700713511,5.69174700713511,6.01235175458555,6.01235175458555,7,7,7,7,7,9.11550836749018,9.11550836749018,11.5294247500352,11.5294247500352,11.5294247500352,13,13,14,14,11.094725335965,11.094725335965,11.094725335965,8.81473267537444,8.81473267537444,10.9305237603306,10.9305237603306,10.9305237603306,10,10,10,11,11,null,null,null,null,null,11.84610958816,11.84610958816,11.84610958816,11.5143820702886,11.5143820702886,11.5143820702886,9,9,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1.9593057230714,3,3,3,3,3,4,4,4.76022644416094,4,4,1.95625375235959,1.95625375235959,1.72118561572871,3.42262937974089,3.42262937974089,5,5,5,5.32752238686777,5.32752238686777,5,5,5.29496992677115,5.29496992677115,6,6,5.98341202974852,5.98341202974852,5.91479486498983,5.91479486498983,6,6,6.78634838135425,6,6,5.24160854252813,5.24160854252813,5,5,5,7,7,7,7,7.9956493775646,7.9956493775646,8,8,7,7,7,7,7,7,7,7,7,5.8773755514953,5.8773755514953,5,5,5.69174700713511,5.69174700713511,5.69174700713511,6.01235175458555,6.01235175458555,7,7,7,7,7,8.1155083674902,8.1155083674902,10.5294247500353,10.5294247500353,10.5294247500353,12.9659245237936,12.9659245237936,14,14,13.094725335965,13.094725335965,13.094725335965,9,9,11,11,11,11,11,11,11,11,null,null,null,null,null,10.84610958816,10.84610958816,10.84610958816,11,11,11,9,9,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1.9593057230714,3,3,3,3,3,4,4,4,3.60985036461292,3.60985036461292,2,2,2.72118561572871,4.42262937974089,4.42262937974089,5.85176900680909,5.85176900680909,5.8981352189007,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,5.75839145747187,5.75839145747187,5.78215686223855,5.78215686223855,5.78215686223855,6,6,7,7,7.9956493775646,7.9956493775646,8,8,7,7,7,7,7,7,7,7,7,6.8773755514953,6.8773755514953,5,5,5.69174700713511,5.69174700713511,5.69174700713511,6.01235175458555,6.01235175458555,6.64331440437611,6.64331440437611,6,6,6,8,8,9.52942475003527,9.52942475003527,9.52942475003527,11.9659245237936,11.9659245237936,14.4246636685033,14.4246636685033,14,14,14,11.7779009869383,11.7779009869383,10.9305237603306,10.9305237603306,10.9305237603306,11,11,11,11,11,null,null,null,null,null,12,12,12,11.0287641405773,11.0287641405773,11.0287641405773,8,8,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2.21038767102236e-14,2.21038767102236e-14,0.997995137037574,1.46749483057045,1.46749483057045,2.00000000000004,3,3,3,3.00000000000002,3.00000000000002,3.15380012359838,3.15380012359838,4,3.6098503646129,3.6098503646129,3.04374624764045,3.04374624764045,4.72118561572872,5.57737062025911,5.57737062025911,5,5,5.8981352189007,5.67247761313222,5.67247761313222,6,6,5,5,5.00000000000001,5.00000000000001,6,6,6,6,6,6,6.21365161864577,5.99999999999997,5.99999999999997,6.5167829149437,6.5167829149437,5,5,5,6.00000000000003,6.00000000000003,7,7,7,7,7.87140263255679,7.87140263255679,7.27783350512363,7.27783350512363,7.54802906341286,7.54802906341286,7.34909726313129,7.34909726313129,7.34909726313129,7,7,6.00000000000004,6.00000000000004,6,6,5.30825299286491,5.30825299286491,5.30825299286491,5.01235175458555,5.01235175458555,6.35668559562392,6.35668559562392,6.72449609558103,6.72449609558103,6.72449609558103,6,6,7.47057524996471,7.47057524996471,7.47057524996471,10.9318490475873,10.9318490475873,12.4246636685032,12.4246636685032,13.094725335965,13.094725335965,13.094725335965,12.1852673246255,12.1852673246255,11.8610475206611,11.8610475206611,11.8610475206611,11.5256918061749,11.5256918061749,11.5256918061749,10.8852287240012,10.8852287240012,null,null,null,null,null,null,null,null,10.0287641405772,10.0287641405772,10.0287641405772,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6.79981410265103e-15,6.79981410265103e-15,2.00728322852231e-14,4.01456645704462e-14,0.550591874533255,0.550591874533255,1.99799513703757,2.46749483057044,2.46749483057044,3.00000000000002,3.00000000000002,3.00000000000002,3.01069859854763,3.42931262611005,3.42931262611005,3.15380012359838,3.15380012359838,3.99999999999998,3.00000000000003,3.00000000000003,4.04374624764045,4.04374624764045,5.00000000000001,5.5773706202591,5.5773706202591,5,5,5.8981352189007,5.67247761313221,5.67247761313221,5.99999999999999,5.99999999999999,5.00000000000001,5.00000000000001,5.14334013103527,5.14334013103527,6,6,6,6,6,6,6.78634838135424,5.24020701152485,5.24020701152485,5.75839145747186,5.75839145747186,5.00000000000002,5.00000000000002,5.00000000000002,6.83108685594491,6.83108685594491,7,7,7,7,7.87140263255679,7.87140263255679,7.27783350512364,7.27783350512364,7.54802906341287,7.54802906341287,7.3490972631313,7.3490972631313,7.3490972631313,7,7,6.8773755514953,6.8773755514953,6,6,5.69174700713509,5.69174700713509,5.69174700713509,5.0247035091711,5.0247035091711,6.99999999999999,6.99999999999999,7,7,7,6.00000000000002,6.00000000000002,7,7,7,10.9318490475872,10.9318490475872,11,11,12.9052746640349,12.9052746640349,12.9052746640349,11.5926336623128,11.5926336623128,11,11,11,11,11,11,10.8469716320016,10.8469716320016,null,null,null,null,null,null,null,null,8.51438207028864,8.51438207028864,8.51438207028864,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.27914903178796e-14,2.00728322852215e-14,0.33875708250983,0.33875708250983,1,2,2.55059187453323,2.55059187453323,3.99799513703753,4.00000000000001,4.00000000000001,4.00000000000002,4.00000000000002,4.00000000000002,4,4,4,3.00000000000002,3.00000000000002,3.00000000000002,4.39014963538707,4.39014963538707,6,6,5.27881438427129,5,5,5.00000000000002,5.00000000000002,5.89813521890071,5,5,5.47138399856125,5.47138399856125,5.29496992677116,5.29496992677116,6,6,6,6,6,6,6,6,6.21365161864575,6,6,5.24160854252813,5.24160854252813,5.78215686223855,5.78215686223855,5.78215686223855,6.8310868559449,6.8310868559449,7,7,7.0043506224354,7.0043506224354,7.87140263255679,7.87140263255679,8,8,8,8,8,8,8,7.12549737540008,7.12549737540008,6.8773755514953,6.8773755514953,6,6,5.00000000000001,5.00000000000001,5.00000000000001,5,5,6.35668559562389,6.35668559562389,7,7,7,7,7,7.00000000000001,7.00000000000001,7.00000000000001,8.00000000000002,8.00000000000002,9.57533633149671,9.57533633149671,9.09472533596496,9.09472533596496,9.09472533596496,11,11,9.93052376033057,9.93052376033057,9.93052376033057,11,11,11,10.8852287240012,10.8852287240012,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7.5084445474212e-16,4.01456645704462e-14,4.01456645704462e-14,0.637253883065524,1.00000000000004,1.00000000000004,1.00000000000004,1.00000000000004,2.12506640616506,3.55059187453323,3.55059187453323,4.00000000000004,4.46749483057043,4.46749483057043,5,5,5,4.00000000000004,4.00000000000004,4.00000000000004,4.00000000000004,4.00000000000004,4.00000000000004,4.39014963538712,4.39014963538712,5.95625375235956,5.95625375235956,5.00000000000004,5.00000000000004,5.00000000000004,5.99999999999996,5.99999999999996,5.99999999999996,5,5,6,6,6,6,5.85665986896472,5.85665986896472,6,6,6.00000000000004,6.00000000000004,6,6,6,6.00000000000002,6.00000000000002,5.24160854252817,5.24160854252817,5.7821568622386,5.7821568622386,5.7821568622386,6,6,7,7,7,7,7.87140263255676,7.87140263255676,8,8,7.99999999999998,7.99999999999998,8,8,8,8,8,6.87737555149526,6.87737555149526,6,6,5.69174700713512,5.69174700713512,5.69174700713512,5.01235175458555,5.01235175458555,6.35668559562389,6.35668559562389,7,7,7,7.00000000000004,7.00000000000004,7.47057524996475,7.47057524996475,7.47057524996475,8.96592452379368,8.96592452379368,8.00000000000008,8.00000000000008,8.09472533596501,8.09472533596501,8.09472533596501,9.59263366231273,9.59263366231273,9.99999999999996,9.99999999999996,9.99999999999996,11.0513836123499,11.0513836123499,11.0513836123499,10.8852287240012,10.8852287240012,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0187030022488766,1,1,1.63725388306548,2,2,2,2,3.12506640616502,4,4,4.99799513703753,5,5,5,5,5,5,5,5,5,5,5,5.6098503646129,5.6098503646129,5.04374624764044,5.04374624764044,6,5.99999999999996,5.99999999999996,5,5,5,5.00000000000003,5.00000000000003,6,6,6,6,5.14334013103529,5.14334013103529,6,6,6.91479486498979,6.91479486498979,6,6,6.00000000000003,6.51958597695034,6.51958597695034,6.24160854252816,6.24160854252816,7,7,7,6.00000000000003,6.00000000000003,7,7,7.00000000000004,7.00000000000004,7.12859736744324,7.12859736744324,7.99999999999996,7.99999999999996,7.45197093658716,7.45197093658716,8,8,8,8,8,6.00000000000004,6.00000000000004,6.00000000000002,6.00000000000002,6,6,6,5.01235175458559,5.01235175458559,6.35668559562392,6.35668559562392,7,7,7,7.99999999999997,7.99999999999997,8.00000000000002,8.00000000000002,8.00000000000002,9.9659245237936,9.9659245237936,10,10,9,9,9,8.4073663376872,8.4073663376872,9.06947623966943,9.06947623966943,9.06947623966943,11,11,11,10.8852287240012,10.8852287240012,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1.00000000000001,1.00000000000001,1.63725388306552,2.00000000000004,2.00000000000003,2.00000000000003,2.00000000000003,3.12506640616502,4.00000000000002,4.00000000000002,4.99799513703753,5,5,5,5,5,5,5,5,5.00000000000001,5.00000000000001,5.00000000000001,5.00000000000002,5.00000000000002,6,6,5.99999999999997,5,5,5,5,5,5.67247761313224,5.67247761313224,5.99999999999998,5.99999999999998,6,6,6,6,6,6,6,6,6,6,6.78634838135422,6.75979298847516,6.75979298847516,7,7,7,7,7,6.83108685594492,6.83108685594492,7,7,7.99999999999996,7.99999999999996,8,8,7.00000000000004,7.00000000000004,8,8,8,8,8,8,8,6.87737555149531,6.87737555149531,6.39510169323497,6.39510169323497,6.00000000000001,6.00000000000001,6.00000000000001,6.01235175458555,6.01235175458555,6.99999999999999,6.99999999999999,7,7,7,7.23101673498043,7.23101673498043,8.52942475003529,8.52942475003529,8.52942475003529,9.03407547620635,9.03407547620635,10.4246636685033,10.4246636685033,9.00000000000004,9.00000000000004,9.00000000000004,8.00000000000004,8.00000000000004,9.06947623966943,9.06947623966943,9.06947623966943,11,11,11,10.8852287240012,10.8852287240012,6.00000000000008,6.00000000000008,6.00000000000008,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5.94112987334622e-14,1,1.31772658401403,1.31772658401403,2.63725388306548,3,2.66124291749021,2.66124291749021,2.72119658220512,3.12506640616509,4.55059187453322,4.55059187453322,5,5.00000000000004,5.00000000000004,5.00000000000008,5.00000000000008,5.00000000000008,5.00000000000008,5.00000000000008,5.00000000000008,5.15380012359837,5.15380012359837,5.23977355583904,5.39014963538712,5.39014963538712,6,6,5.27881438427127,5,5,5,5,5.00000000000007,6,6,5.52861600143876,5.52861600143876,5.99999999999998,5.99999999999998,6,6,6,6,6,6,6.00000000000008,6.00000000000008,6.00000000000002,6.75979298847516,6.75979298847516,6.99999999999994,6.99999999999994,6.99999999999998,6.99999999999998,6.99999999999998,7,7,6.90516308762877,6.90516308762877,7,7,8,8,8,8,8,8,8,8,8,8,8,6.99999999999999,6.99999999999999,7,7,6.30825299286487,6.30825299286487,6.30825299286487,6,6,6.64331440437609,6.64331440437609,6.99999999999994,6.99999999999994,6.99999999999994,8.11550836749013,8.11550836749013,9.00000000000004,9.00000000000004,9.00000000000004,9.00000000000008,9.00000000000008,10.9999999999999,10.9999999999999,10.094725335965,10.094725335965,10.094725335965,9.0000000000001,9.0000000000001,9.0694762396695,9.0694762396695,9.0694762396695,10,10,10,10.9234858160007,10.9234858160007,8,8,8,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.739946633953579,1.01870300224884,2,2,2.63725388306548,3,3,3,3,4,4.55059187453321,4.55059187453321,5,5.46749483057041,5.46749483057041,6,5.99999999999994,5.99999999999994,6,5.99999999999997,5.99999999999997,5,5,5.00000000000005,6,6,5.95625375235953,5.95625375235953,5,5,5,5,5,5.8981352189007,5.99999999999996,5.99999999999996,5.47138399856124,5.47138399856124,5.70503007322887,5.70503007322887,6.00000000000001,6.00000000000001,6,6,6,6,7,7,6.21365161864574,6.75979298847516,6.75979298847516,6.24160854252818,6.24160854252818,6.78215686223856,6.78215686223856,6.78215686223856,6.99999999999995,6.99999999999995,7,7,7,7,8,8,8,8,8,8,8,8,8,8,8,6.8773755514953,6.8773755514953,6.99999999999994,6.99999999999994,6,6,6,6,6,6.35668559562385,6.35668559562385,6.27550390441901,6.27550390441901,6.27550390441901,7.2310167349804,7.2310167349804,9.5294247500353,9.5294247500353,9.5294247500353,9.96592452379365,9.96592452379365,10,10,11,11,11,10.1852673246256,10.1852673246256,10,10,10,10.4743081938251,10.4743081938251,10.4743081938251,9.9617429080004,9.9617429080004,7.99999999999988,7.99999999999988,7.99999999999988,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.739946633953579,1.01870300224884,2,2,2.63725388306545,2.99999999999994,3,3,3.00000000000004,4,4.55059187453321,4.55059187453321,5.00000000000006,5.46749483057042,5.46749483057042,5.99999999999994,5,5,5.99999999999994,5.42931262611001,5.42931262611001,5.00000000000006,5.00000000000006,5.76022644416096,5.99999999999998,5.99999999999998,5,5,5,5,5,5,5,5.8981352189007,5.32752238686781,5.32752238686781,5.47138399856123,5.47138399856123,5.99999999999996,5.99999999999996,6.14334013103524,6.14334013103524,6,6,6,6,7,7,6,6.75979298847517,6.75979298847517,7,7,7,7,7,6.16891314405509,6.16891314405509,7,7,7,7,7.99999999999999,7.99999999999999,8,8,8,8,8,8,8,8,8,6.87737555149531,6.87737555149531,6.00000000000004,6.00000000000004,6,6,6,6,6,5.71337119124776,5.71337119124776,6.72449609558097,6.72449609558097,6.72449609558097,7.2310167349804,7.2310167349804,9.99999999999997,9.99999999999997,9.99999999999997,10,10,10.0000000000001,10.0000000000001,11,11,11,11.5926336623129,11.5926336623129,10.0000000000001,10.0000000000001,10.0000000000001,10.5256918061749,10.5256918061749,10.5256918061749,9.92348581600081,9.92348581600081,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.739946633953579,1.01870300224884,2,2,2,2,3,3,3.72119658220509,4,4.5505918745332,4.5505918745332,5.99799513703753,5.53250516942959,5.53250516942959,5,5,5,5,5,5,6,6,6,5.60985036461292,5.60985036461292,5,5,5,5,5,5,5,5.8981352189007,6.00000000000001,6.00000000000001,5.47138399856123,5.47138399856123,5.29496992677114,5.29496992677114,6,6,6,6,6,6,7.00000000000002,7.00000000000002,5.99999999999999,6.75979298847516,6.75979298847516,7,7,7,7,7,6.16891314405507,6.16891314405507,7,7,7,7,7.87140263255681,7.87140263255681,8,8,8,8,8,8,8,8,8,7.00000000000002,7.00000000000002,6.60489830676505,6.60489830676505,5.99999999999998,5.99999999999998,5.99999999999998,6,6,5.35668559562389,5.35668559562389,6,6,6,7.23101673498038,7.23101673498038,9.52942475003527,9.52942475003527,9.52942475003527,10,10,11,11,11,11,11,13,13,12,12,12,10.4743081938251,10.4743081938251,10.4743081938251,9.9617429080004,9.9617429080004,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.739946633953579,1.01870300224884,2,2,2,2,3,3,3.72119658220509,4.12506640616504,5,5,5.99799513703753,5.53250516942959,5.53250516942959,5,5,5,5,5.00000000000001,5.00000000000001,6,6,5.99999999999998,5.60985036461291,5.60985036461291,5,5,5,5,5,5,5,5.8981352189007,5.32752238686777,5.32752238686777,5.47138399856123,5.47138399856123,6,6,6,6,6,6,6,6,6.16197027328455,6.16197027328455,6.21365161864577,6.75979298847517,6.75979298847517,7,7,7,7,7,6.83108685594491,6.83108685594491,7,7,7.0043506224354,7.0043506224354,7,7,8,8,8,8,8,8,8,8,8,6.12262444850472,6.12262444850472,6.60489830676505,6.60489830676505,6.99999999999998,6.99999999999998,6.99999999999998,5.98764824541445,5.98764824541445,5.3566855956239,5.3566855956239,5.72449609558102,5.72449609558102,5.72449609558102,7.99999999999998,7.99999999999998,9.52942475003526,9.52942475003526,9.52942475003526,10,10,11.4246636685033,11.4246636685033,11,11,11,12.4073663376872,12.4073663376872,12.1389524793389,12.1389524793389,12.1389524793389,10,10,10,9.96174290800042,9.96174290800042,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.739946633953579,1.01870300224884,2,2,2,2,3,3,3.72119658220509,5,5,5,5.99799513703753,5.53250516942959,5.53250516942959,5,5,5,5,5.57068737388997,5.57068737388997,6,6,5.23977355583906,5,5,5,5,5,5,5,5,5,5.8981352189007,5.32752238686777,5.32752238686777,5.47138399856123,5.47138399856123,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,7,7.0043506224354,7.0043506224354,7.12859736744321,7.12859736744321,8,8,8,8,8,8,8,8,8,7,7,6.39510169323495,6.39510169323495,6,6,6,5.98764824541445,5.98764824541445,6,6,6,6,6,7.1155083674902,7.1155083674902,9,9,9,10.9659245237936,10.9659245237936,11.4246636685033,11.4246636685033,10.094725335965,10.094725335965,10.094725335965,13.4073663376872,13.4073663376872,13,13,13,11,11,11,10.9234858160008,10.9234858160008,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.739946633953579,1.01870300224884,2,2,2.63725388306548,3,3,3,3.72119658220509,5,5,5,5.99799513703753,5,5,5,5.47363834360305,5.47363834360305,5.01069859854761,6,6,5.84619987640162,5.84619987640162,5,5,5,5,5,5,5,5,5,5,5.8981352189007,6,6,6,6,6,6,5.14334013103525,5.14334013103525,6,6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,7.90516308762876,7.90516308762876,7,7,8,8,7.27783350512363,7.27783350512363,8,8,7.34909726313129,7.34909726313129,7.34909726313129,7,7,6.8773755514953,6.8773755514953,6.60489830676505,6.60489830676505,5.69174700713511,5.69174700713511,5.69174700713511,6,6,5,5,5.27550390441898,5.27550390441898,5.27550390441898,7,7,8.52942475003527,8.52942475003527,8.52942475003527,10,10,11,11,10,10,10,13,13,13,13,13,11,11,11,10.8852287240012,10.8852287240012,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.739946633953579,1.01870300224884,2,2,2.63725388306548,3,3,3,3.72119658220509,5,5,5,5.99799513703753,5,5,5,5.47363834360305,5.47363834360305,6,6,6,5.84619987640162,5.84619987640162,5,5,5,5,5,5,5,5,5,5,5.8981352189007,5.67247761313223,5.67247761313223,6,6,6,6,6,6,6,6,6,6,6.16197027328456,6.16197027328456,7,7,7,7,7,7.78215686223855,7.78215686223855,7.78215686223855,7,7,8,8,7,7,8,8,7.72216649487637,7.72216649487637,7.45197093658714,7.45197093658714,7.34909726313129,7.34909726313129,7.34909726313129,7,7,7,7,6.60489830676505,6.60489830676505,6,6,6,6,6,5.64331440437611,5.64331440437611,5.27550390441898,5.27550390441898,5.27550390441898,6.2310167349804,6.2310167349804,9,9,9,10,10,11.5753363314967,11.5753363314967,9.09472533596498,9.09472533596498,9.09472533596498,12.8147326753744,12.8147326753744,13.0694762396694,13.0694762396694,13.0694762396694,11,11,11,10.8852287240012,10.8852287240012,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.481219581621264,0.481219581621264,1,1.01870300224896,2.00000000000004,2.00000000000004,2.63725388306553,3,3,3,3.72119658220509,5,5,5,5,5.53250516942952,5.53250516942952,5,5.47363834360306,5.47363834360306,6,6,6,5,5,5,5,5,5,5,5,5,5,6,6,6,5.32752238686777,5.32752238686777,5.4713839985613,5.4713839985613,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7.00000000000009,7.00000000000009,7.00000000000009,7.83108685594493,7.83108685594493,7,7,7,7,7.87140263255679,7.87140263255679,7,7,7,7,7,7,7,7,7,7,7,6.00000000000007,6.00000000000007,5.30825299286498,5.30825299286498,5.30825299286498,5,5,5,5,5,5,5,5.11550836749032,5.11550836749032,8.05884950007053,8.05884950007053,8.05884950007053,10.9659245237935,10.9659245237935,11,11,10,10,10,12.4073663376872,12.4073663376872,13.0694762396694,13.0694762396694,13.0694762396694,11,11,11,10.8852287240012,10.8852287240012,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.481219581621264,0.481219581621264,1,2,2.31772658401398,2.31772658401398,3,3,3,3,3.72119658220509,5,5,5,5,5,5,5,5.47363834360305,5.47363834360305,6,6,6,5,5,5,5,5,5,5,5,5,5,6,6,6,5.32752238686777,5.32752238686777,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7.78215686223855,7.78215686223855,7.78215686223855,8,8,7,7,7,7,7.87140263255679,7.87140263255679,7,7,7,7,7,7,7,7,7,7,7,6.60489830676505,6.60489830676505,6,6,6,5.01235175458555,5.01235175458555,5,5,5,5,5,6.1155083674902,6.1155083674902,8,8,8,10,10,11,11,10.094725335965,10.094725335965,10.094725335965,12.4073663376872,12.4073663376872,13,13,13,11,11,11,10.8852287240012,10.8852287240012,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0.481219581621264,0.481219581621264,1,2,2,2,2.63725388306548,3,3,3,3.72119658220509,4.12506640616502,5,5,5,5.46749483057039,5.46749483057039,5.0406942769286,5,5,5.98930140145239,5,5,5,5,5,5,5,5,5,5.00000000000003,5.99999999999998,5.99999999999998,5.8517690068091,5.8517690068091,5.89813521890067,6,6,5.99999999999998,5.99999999999998,6,6,6,6,6,6,6,6,6,6,6.21365161864578,7,7,7.00000000000003,7.00000000000003,7.00000000000001,7.00000000000001,7.00000000000001,7.16891314405509,7.16891314405509,7,7,7.00000000000004,7.00000000000004,7.87140263255679,7.87140263255679,7,7,6.54802906341288,6.54802906341288,6.99999999999998,6.99999999999998,6.99999999999998,7,7,7,7,6.99999999999998,6.99999999999998,6,6,6,4.9752964908289,4.9752964908289,3.71337119124775,3.71337119124775,5.72449609558098,5.72449609558098,5.72449609558098,6.11550836749019,6.11550836749019,7.52942475003523,7.52942475003523,7.52942475003523,9.96592452379364,9.96592452379364,10.4246636685033,10.4246636685033,11.905274664035,11.905274664035,11.905274664035,12.4073663376872,12.4073663376872,12.0694762396694,12.0694762396694,12.0694762396694,11.4743081938251,11.4743081938251,11.4743081938251,10.8852287240012,10.8852287240012,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0.481219581621264,0.481219581621264,1,2,2,2,2.63725388306548,3,3.00000000000001,3.00000000000001,3.7211965822051,4.12506640616505,5,5,5,5,5,5.00000000000004,5,5,5.98930140145239,5,5,5,5,5,5,5,5,5,5.72118561572871,5.57737062025909,5.57737062025909,6,6,5.1018647810993,5.99999999999999,5.99999999999999,5.47138399856123,5.47138399856123,5.99999999999999,5.99999999999999,5.99999999999997,5.99999999999997,6,6,6,6,6.00000000000001,6.00000000000001,7,6.99999999999999,6.99999999999999,7.75839145747187,7.75839145747187,7.21784313776144,7.21784313776144,7.21784313776144,7.16891314405509,7.16891314405509,7.00000000000004,7.00000000000004,8,8,8,8,6.99999999999999,6.99999999999999,6.99999999999996,6.99999999999996,6.65090273686868,6.65090273686868,6.65090273686868,6.99999999999996,6.99999999999996,6.99999999999997,6.99999999999997,6.60489830676508,6.60489830676508,5.99999999999997,5.99999999999997,5.99999999999997,4.97529649082886,4.97529649082886,3,3,4.72449609558102,4.72449609558102,4.72449609558102,6,6,6.52942475003527,6.52942475003527,6.52942475003527,9.96592452379364,9.96592452379364,10.4246636685033,10.4246636685033,11.905274664035,11.905274664035,11.905274664035,12.4073663376872,12.4073663376872,11.0694762396694,11.0694762396694,11.0694762396694,11.9486163876502,11.9486163876502,11.9486163876502,11.8469716320016,11.8469716320016,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0.481219581621264,0.481219581621264,1.00000000000003,2,2,2,2.63725388306548,3,3.33875708250982,3.33875708250982,4,4.99999999999996,5,5,5,5,5,5.95930572307136,5.00000000000002,5.00000000000002,5.98930140145239,5,5,5,5,5,5,5,5,5,5.72118561572869,5,5,6,6,5.10186478109933,5.67247761313224,5.67247761313224,5.47138399856123,5.47138399856123,5.70503007322886,5.70503007322886,5.14334013103529,5.14334013103529,5.99999999999996,5.99999999999996,6,6,6.16197027328455,6.16197027328455,6.99999999999999,6.75979298847517,6.75979298847517,7.75839145747184,7.75839145747184,7,7,7,7.16891314405508,7.16891314405508,7.90516308762877,7.90516308762877,7.9956493775646,7.9956493775646,7.99999999999996,7.99999999999996,6.72216649487634,6.72216649487634,5.99999999999998,5.99999999999998,6,6,6,6,6,6.24524889700943,6.24524889700943,7.20979661353009,7.20979661353009,5.30825299286492,5.30825299286492,5.30825299286492,3.97529649082874,3.97529649082874,2.99999999999988,2.99999999999988,4.72449609558099,4.72449609558099,4.72449609558099,6.00000000000004,6.00000000000004,6.52942475003527,6.52942475003527,6.52942475003527,9.93184904758724,9.93184904758724,11,11,11.905274664035,11.905274664035,11.905274664035,11.9999999999999,11.9999999999999,10.0694762396694,10.0694762396694,10.0694762396694,12.474308193825,12.474308193825,12.474308193825,10.9234858160008,10.9234858160008,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0.481219581621264,0.481219581621264,1.73994663395358,2,2,2,2.63725388306548,3,3.33875708250982,3.33875708250982,4,4.12506640616502,5,5,5,5,5,5.00000000000004,5.47363834360306,5.47363834360306,5.98930140145239,5.00000000000002,5.00000000000002,5,5,5,5,5,5.04374624764044,5.04374624764044,5.2788143842713,5.00000000000002,5.00000000000002,6,6,6,6,6,5.47138399856123,5.47138399856123,6,6,6,6,5.01658797025152,5.01658797025152,6,6,6,6,6.78634838135425,6.99999999999997,6.99999999999997,7,7,7,7,7,7,7,8,8,8,8,7,7,6,6,5.45197093658716,5.45197093658716,6,6,6,5.99999999999996,5.99999999999996,6.99999999999993,6.99999999999993,7.00000000000002,7.00000000000002,6.00000000000001,6.00000000000001,6.00000000000001,0,0,0,0,4.17348828674306,4.17348828674306,4.17348828674306,6.88449163250976,6.88449163250976,6.52942475003529,6.52942475003529,6.52942475003529,8.96592452379364,8.96592452379364,10.9999999999999,10.9999999999999,11,11,11,9.59263366231273,9.59263366231273,10,10,10,12,12,12,11.8852287240011,11.8852287240011,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,1.94532085225478e-14,0.481219581621306,0.481219581621306,1.73994663395358,2,2.00000000000003,2.00000000000003,2.63725388306551,3,3.33875708250987,3.33875708250987,4,4.12506640616509,5,5,5,5.00000000000004,5.00000000000004,5.95930572307133,5.47363834360305,5.47363834360305,5.98930140145231,5.57068737388992,5.57068737388992,5,5,5,5.00000000000008,5.00000000000008,6,6,5.27881438427133,5.42262937974093,5.42262937974093,6,6,5.99999999999993,5.99999999999997,5.99999999999997,5.47138399856123,5.47138399856123,6,6,6,6,6,6,5.99999999999992,5.99999999999992,6,6,6.78634838135425,6.2402070115249,6.2402070115249,7.00000000000002,7.00000000000002,7.00000000000006,7.00000000000006,7.00000000000006,7.00000000000001,7.00000000000001,7.99999999999999,7.99999999999999,8,8,7.12859736744321,7.12859736744321,6,6,5.99999999999996,5.99999999999996,5.99999999999997,5.99999999999997,5.99999999999997,5.12549737540005,5.12549737540005,5.24524889700947,5.24524889700947,7.604898306765,7.604898306765,6.30825299286481,6.30825299286481,6.30825299286481,1.5859918069598e-13,1.5859918069598e-13,0,0,4.44899219116198,4.44899219116198,4.44899219116198,5.99999999999986,5.99999999999986,6.99999999999996,6.99999999999996,6.99999999999996,8.96592452379356,8.96592452379356,9.42466366850318,9.42466366850318,9.99999999999992,9.99999999999992,9.99999999999992,8.4073663376873,8.4073663376873,10.0000000000001,10.0000000000001,10.0000000000001,11.474308193825,11.474308193825,11.474308193825,9.88522872400113,9.88522872400113,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0.242282806010267,1,1,1.73994663395358,2,2.31772658401398,2.31772658401398,3,3,4,4,4,5,5,5,5,5.46749483057041,5.46749483057041,5.0406942769286,5.47363834360305,5.47363834360305,5,5,5,5,5,5,6,6,5.95625375235959,5.95625375235959,5.72118561572871,6,6,6,6,5.1018647810993,5.67247761313223,5.67247761313223,5.47138399856123,5.47138399856123,6,6,6,6,5.98341202974852,5.98341202974852,5,5,6,6,6.78634838135425,7,7,7.24160854252813,7.24160854252813,7.78215686223855,7.78215686223855,7.78215686223855,7.16891314405509,7.16891314405509,7.90516308762876,7.90516308762876,8,8,7.12859736744321,7.12859736744321,6,6,5.54802906341286,5.54802906341286,5.65090273686871,5.65090273686871,5.65090273686871,5,5,6.1226244485047,6.1226244485047,7,7,5.3082529928649,5.3082529928649,5.3082529928649,1.9752964908289,1.9752964908289,0,0,3.72449609558102,3.72449609558102,3.72449609558102,4.2310167349804,4.2310167349804,6.52942475003527,6.52942475003527,6.52942475003527,7.96592452379364,7.96592452379364,8.42466366850326,8.42466366850326,9,9,9,9.40736633768722,9.40736633768722,11,11,11,10.5256918061749,10.5256918061749,10.5256918061749,8.9617429080004,8.9617429080004,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0.242282806010267,1,1,1.73994663395358,2,2.31772658401398,2.31772658401398,3,3,4,4,4.72119658220509,5,5,5,5,5,5,5,5.47363834360305,5.47363834360305,5,5,5,5,5,5,6,6,5,5,5.72118561572871,6,6,6,6,5.1018647810993,5.67247761313223,5.67247761313223,5,5,5.29496992677115,5.29496992677115,5.14334013103525,5.14334013103525,6,6,6,6,6,6,6.78634838135425,7,7,7.24160854252813,7.24160854252813,8,8,8,7.16891314405509,7.16891314405509,7.90516308762876,7.90516308762876,8,8,7.12859736744321,7.12859736744321,6,6,5.45197093658714,5.45197093658714,6,6,6,5.12549737540006,5.12549737540006,6.2452488970094,6.2452488970094,6.60489830676505,6.60489830676505,5.3082529928649,5.3082529928649,5.3082529928649,1.9752964908289,1.9752964908289,0,0,3,3,3,4.1155083674902,4.1155083674902,6,6,6,7,7,7.57533633149674,7.57533633149674,8,8,8,8.81473267537444,8.81473267537444,10,10,10,11.5256918061749,11.5256918061749,11.5256918061749,9.92348581600081,9.92348581600081,8,8,8,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,-9.19189837314627e-16,0.242282806010237,1,1,1.73994663395358,2,2.31772658401395,2.31772658401395,3,3,4,4,4.72119658220512,5,5,5,5,5,5,5,6,6,5,5,5,4.99999999999999,4.99999999999999,5.76022644416093,5.60985036461293,5.60985036461293,5.04374624764037,5.04374624764037,6,6,6,4.99999999999996,4.99999999999996,5,5.67247761313222,5.67247761313222,5,5,4.99999999999997,4.99999999999997,6.00000000000001,6.00000000000001,6,6,5.08520513501013,5.08520513501013,5.99999999999997,5.99999999999997,6.78634838135425,7.00000000000001,7.00000000000001,7.24160854252814,7.24160854252814,7.21784313776146,7.21784313776146,7.21784313776146,7.00000000000001,7.00000000000001,7.09483691237124,7.09483691237124,8,8,7.12859736744318,7.12859736744318,5.99999999999996,5.99999999999996,6,6,5.34909726313133,5.34909726313133,5.34909726313133,3.25099475080007,3.25099475080007,7.12262444850471,7.12262444850471,6.60489830676505,6.60489830676505,5.30825299286491,5.30825299286491,5.30825299286491,1.97529649082878,1.97529649082878,0,0,3.00000000000012,3.00000000000012,3.00000000000012,5.1155083674902,5.1155083674902,6,6,6,6.03407547620636,6.03407547620636,7.00000000000002,7.00000000000002,6.99999999999988,6.99999999999988,6.99999999999988,7.9999999999999,7.9999999999999,9.99999999999996,9.99999999999996,9.99999999999996,11.4743081938251,11.4743081938251,11.4743081938251,10.9234858160008,10.9234858160008,6.75623168533406,6.75623168533406,6.75623168533406,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0.0228963661991861,1,1,1,1.73994663395358,2.01870300224884,3,3,3,3.00000000000008,4,4,4,5,5,5,5,5.00000000000004,5.00000000000004,5,6,6,5,5,5,5.15380012359838,5.15380012359838,5.99999999999994,5.39014963538708,5.39014963538708,6,6,6,6,6,6,6,5.1018647810993,5.67247761313223,5.67247761313223,5,5,5.70503007322885,5.70503007322885,5.85665986896476,5.85665986896476,6,6,6,6,6.83802972671538,6.83802972671538,6.78634838135425,6.75979298847516,6.75979298847516,7,7,7,7,7,6.83108685594491,6.83108685594491,7,7,8,8,7.87140263255672,7.87140263255672,7,7,5.99999999999996,5.99999999999996,4.34909726313119,4.34909726313119,4.34909726313119,4.49801049839975,4.49801049839975,6.99999999999994,6.99999999999994,6.60489830676508,6.60489830676508,5.00000000000008,5.00000000000008,5.00000000000008,4.96294473624335,4.96294473624335,0,0,1.16341508943174e-13,1.16341508943174e-13,1.16341508943174e-13,5.11550836749027,5.11550836749027,6,6,6,6.03407547620643,6.03407547620643,6.42466366850326,6.42466366850326,10,10,10,10.5926336623128,10.5926336623128,10.9999999999999,10.9999999999999,10.9999999999999,10.9486163876501,10.9486163876501,10.9486163876501,11.9617429080004,11.9617429080004,8.75623168533414,8.75623168533414,8.75623168533414,7.00000000000005,7.00000000000005,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0.0228963661991861,1,1,1,1.73994663395358,2.01870300224884,3,3,3.00000000000005,3.97751974538466,4,4,4.00000000000006,5,5,5,5,5.53250516942959,5.53250516942959,5,5.99999999999996,5.99999999999996,5,5,5,5.15380012359845,5.15380012359845,5.23977355583906,5.39014963538712,5.39014963538712,6,6,6,6,6,5.99999999999992,5.99999999999992,5.10186478109929,5.67247761313225,5.67247761313225,5.00000000000008,5.00000000000008,5.70503007322879,5.70503007322879,6,6,5.99999999999992,5.99999999999992,6,6,6.00000000000001,6.00000000000001,6.7863483813542,6.75979298847518,6.75979298847518,7,7,7,7,7,6.83108685594486,6.83108685594486,6.99999999999999,6.99999999999999,8,8,7,7,7,7,5.54802906341294,5.54802906341294,3.04729178939377,3.04729178939377,3.04729178939377,4.49801049839981,4.49801049839981,6.24524889700939,6.24524889700939,7,7,6,6,6,4.98764824541453,4.98764824541453,2.86387605580529e-14,2.86387605580529e-14,1.4489921911623,1.4489921911623,1.4489921911623,5.99999999999999,5.99999999999999,6,6,6,6.99999999999992,6.99999999999992,6.4246636685033,6.4246636685033,9.99999999999999,9.99999999999999,9.99999999999999,10.5926336623128,10.5926336623128,10.0000000000001,10.0000000000001,10.0000000000001,10.525691806175,10.525691806175,10.525691806175,11.9999999999999,11.9999999999999,8.75623168533424,8.75623168533424,8.75623168533424,7.5506410893976,7.5506410893976,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0.0228963661991861,1,1.00000000000006,1.00000000000006,1.73994663395361,2.01870300224884,3,3,3.63725388306548,4,4,4,4.72119658220509,5,5,5,5,5.53250516942958,5.53250516942958,5,5.52636165639694,5.52636165639694,5,5.00000000000007,5.00000000000007,5.99999999999998,5.99999999999998,5.23977355583903,6,6,5.99999999999999,5.99999999999999,5.99999999999997,6,6,5.0000000000001,5.0000000000001,5,6,6,6,6,5,5,5.99999999999998,5.99999999999998,5.0165879702516,5.0165879702516,6,6,6.16197027328454,6.16197027328454,6.21365161864575,7,7,7,7,7,7,7,6.16891314405509,6.16891314405509,6.90516308762876,6.90516308762876,7.99999999999988,7.99999999999988,7,7,6.99999999999991,6.99999999999991,6.54802906341286,6.54802906341286,1.74548631565646,1.74548631565646,1.74548631565646,5.24701574759955,5.24701574759955,6.1226244485047,6.1226244485047,7,7,6,6,6,5.95059298165768,5.95059298165768,0.356685595624251,0.356685595624251,4.72449609558108,4.72449609558108,4.72449609558108,5.88449163250981,5.88449163250981,6,6,6,6.03407547620636,6.03407547620636,7.00000000000005,7.00000000000005,9.90527466403479,9.90527466403479,9.90527466403479,10.5926336623127,10.5926336623127,10.9999999999999,10.9999999999999,10.9999999999999,11.4743081938252,11.4743081938252,11.4743081938252,10.9617429080004,10.9617429080004,10,10,10,8.77532054469875,8.77532054469875,6.00000000000012,6.00000000000012,6.00000000000012,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0228963661991861,1,1.48121958162126,1.48121958162126,2,2.01870300224884,3,3,3.63725388306546,4,4,4,4.72119658220509,5,5,5,5,5.53250516942959,5.53250516942959,5.00000000000004,5.52636165639692,5.52636165639692,5,5.57068737388998,5.57068737388998,5.84619987640159,5.84619987640159,5.00000000000003,6,6,5.95625375235959,5.95625375235959,5.72118561572872,6,6,5.85176900680909,5.85176900680909,5,5.99999999999997,5.99999999999997,6,6,5.00000000000001,5.00000000000001,5.85665986896472,5.85665986896472,6,6,6,6,6,6,6.21365161864575,7,7,7.00000000000001,7.00000000000001,7.00000000000003,7.00000000000003,7.00000000000003,6.16891314405512,6.16891314405512,6.90516308762876,6.90516308762876,6.99999999999996,6.99999999999996,6.99999999999996,6.99999999999996,6.27783350512362,6.27783350512362,6.54802906341284,6.54802906341284,1.74548631565646,1.74548631565646,1.74548631565646,4.62350787379981,4.62350787379981,6.1226244485047,6.1226244485047,6.99999999999998,6.99999999999998,6,6,6,4.96294473624323,4.96294473624323,3.35668559562397,3.35668559562397,5.27550390441897,5.27550390441897,5.27550390441897,6,6,6.00000000000002,6.00000000000002,6.00000000000002,6.03407547620636,6.03407547620636,7.42466366850326,7.42466366850326,8,8,8,9.99999999999998,9.99999999999998,10,10,10,12.4743081938251,12.4743081938251,12.4743081938251,10.9617429080004,10.9617429080004,10,10,10,8.7753205446988,8.7753205446988,7.00000000000001,7.00000000000001,7.00000000000001,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3.99999999999996,3.99999999999996,4,4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0228963661991861,1,1.48121958162126,1.48121958162126,2,2.01870300224884,3,3,3,3.97751974538465,4,4,4.72119658220509,5,5,5,5,5.53250516942959,5.53250516942959,5.9593057230714,5,5,5.01069859854761,6,6,5,5,5.76022644416094,6,6,6,6,6,6,6,5.85176900680909,5.85176900680909,5,5.32752238686777,5.32752238686777,6,6,5.29496992677115,5.29496992677115,5.14334013103525,5.14334013103525,6,6,6,6,6,6,6.21365161864575,7,7,7.24160854252813,7.24160854252813,7.78215686223855,7.78215686223855,7.78215686223855,7,7,6.90516308762876,6.90516308762876,6.0043506224354,6.0043506224354,6,6,6,6,6.09605812682573,6.09605812682573,1.74548631565646,1.74548631565646,1.74548631565646,4.49801049839975,4.49801049839975,6,6,6.60489830676505,6.60489830676505,6,6,6,2.03705526375665,2.03705526375665,5.35668559562389,5.35668559562389,5,5,5,6,6,6.52942475003527,6.52942475003527,6.52942475003527,6.03407547620636,6.03407547620636,7.42466366850326,7.42466366850326,7.90527466403502,7.90527466403502,7.90527466403502,9.59263366231278,9.59263366231278,10,10,10,13,13,13,10.9617429080004,10.9617429080004,10.6218841573329,10.6218841573329,10.6218841573329,10,10,7.30778082368003,7.30778082368003,7.30778082368003,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,3,3.94983516998571,3.94983516998571,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0228963661991861,1,1.48121958162126,1.48121958162126,2,3,3,3,3.63725388306548,4,4,4,4.72119658220509,5,5,5,5.99799513703753,5,5,5.9593057230714,5,5,6,6,6,5,5,5.76022644416094,6,6,5.04374624764041,5.04374624764041,6,5.57737062025911,5.57737062025911,5.14823099319091,5.14823099319091,6,5,5,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7.75839145747187,7.75839145747187,7.78215686223855,7.78215686223855,7.78215686223855,7,7,6,6,6,6,5.12859736744321,5.12859736744321,6,6,6.54802906341286,6.54802906341286,1.74548631565646,1.74548631565646,1.74548631565646,5.37251312299969,5.37251312299969,6,6,6,6,5.3082529928649,5.3082529928649,5.3082529928649,0.0741105275133076,0.0741105275133076,6.64331440437611,6.64331440437611,5,5,5,5.1155083674902,5.1155083674902,6.47057524996473,6.47057524996473,6.47057524996473,7,7,7.42466366850326,7.42466366850326,8,8,8,9.59263366231278,9.59263366231278,10.9305237603306,10.9305237603306,10.9305237603306,13,13,13,12.8852287240012,12.8852287240012,10.6218841573329,10.6218841573329,10.6218841573329,10,10,8.30778082368004,8.30778082368004,8.30778082368004,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0228963661991861,1,1.48121958162124,1.48121958162124,1.99999999999999,2.01870300224884,2.99999999999997,2.99999999999997,3.63725388306548,4,4.00000000000001,4.00000000000001,4.7211965822051,5,5.00000000000002,5.00000000000002,5.99799513703749,5.00000000000002,5.00000000000002,5.9593057230714,5,5,5.99999999999996,5.99999999999998,5.99999999999998,5,5,5.76022644416094,6,6,6,6,6,5.57737062025911,5.57737062025911,5.14823099319093,5.14823099319093,6,5.32752238686777,5.32752238686777,5.47138399856123,5.47138399856123,5.99999999999996,5.99999999999996,6,6,6,6,6,6,6,6,7,6.75979298847517,6.75979298847517,7.75839145747187,7.75839145747187,7,7,7,7.00000000000004,7.00000000000004,6,6,5.00435062243544,5.00435062243544,5.87140263255671,5.87140263255671,5.72216649487635,5.72216649487635,5.54802906341288,5.54802906341288,1.74548631565645,1.74548631565645,1.74548631565645,4.62350787379983,4.62350787379983,5.24524889700943,5.24524889700943,5.99999999999998,5.99999999999998,4.99999999999981,4.99999999999981,4.99999999999981,0.0741105275133071,0.0741105275133071,6.64331440437614,6.64331440437614,5.72449609558099,5.72449609558099,5.72449609558099,6.00000000000004,6.00000000000004,7.00000000000002,7.00000000000002,7.00000000000002,7,7,6.99999999999998,6.99999999999998,8.00000000000008,8.00000000000008,8.00000000000008,9.59263366231276,9.59263366231276,10.9305237603306,10.9305237603306,10.9305237603306,13,13,13,12.9234858160008,12.9234858160008,11.621884157333,11.621884157333,11.621884157333,10,10,9.15389041184002,9.15389041184002,9.15389041184002,7.51438207028868,7.51438207028868,7.51438207028868,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0228963661991861,1,1,1,1.73994663395358,2,2.31772658401396,2.31772658401396,3.63725388306547,4,4.33875708250982,4.33875708250982,5,5.00000000000004,5.55059187453321,5.55059187453321,5.00200486296247,5.46749483057041,5.46749483057041,6,5,5,5.01069859854761,5.42931262611003,5.42931262611003,5,5,5.76022644416094,6,6,6,6,6,5.57737062025913,5.57737062025913,5.85176900680906,5.85176900680906,5.8981352189007,5.32752238686777,5.32752238686777,5.47138399856123,5.47138399856123,5,5,6,6,6,6,6,6,6.00000000000001,6.00000000000001,6.99999999999999,7,7,7.75839145747187,7.75839145747187,7,7,7,8,8,6.00000000000004,6.00000000000004,5.9956493775646,5.9956493775646,3.99999999999995,3.99999999999995,5.27783350512363,5.27783350512363,6.09605812682574,6.09605812682574,1.34909726313132,1.34909726313132,1.34909726313132,5.12549737540002,5.12549737540002,5.87737555149523,5.87737555149523,5.60489830676504,5.60489830676504,0.308252992864883,0.308252992864883,0.308252992864883,0.0617587729277563,0.0617587729277563,7.35668559562389,7.35668559562389,5.00000000000004,5.00000000000004,5.00000000000004,7,7,7.47057524996475,7.47057524996475,7.47057524996475,6.96592452379365,6.96592452379365,6.42466366850332,6.42466366850332,9.90527466403499,9.90527466403499,9.90527466403499,8.99999999999999,8.99999999999999,11.9305237603305,11.9305237603305,11.9305237603305,12.4743081938251,12.4743081938251,12.4743081938251,13,13,12.3781158426671,12.3781158426671,12.3781158426671,11.0000000000001,11.0000000000001,9.30778082368011,9.30778082368011,9.30778082368011,8.4856179297114,8.4856179297114,8.4856179297114,7.00000000000007,7.00000000000007,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0228963661991861,1,1,1,1.73994663395358,2,2,2,3.27450776613099,4,4.33875708250982,4.33875708250982,5,6.00000000000004,5.4494081254668,5.4494081254668,5,5.46749483057041,5.46749483057041,6.00000000000004,5,5,5.01069859854757,5.42931262611001,5.42931262611001,5,5,5.76022644416094,6,6,6,6,6,6,6,4.99999999999996,4.99999999999996,5.89813521890073,5.32752238686779,5.32752238686779,5.47138399856125,5.47138399856125,4.99999999999999,4.99999999999999,6,6,6,6,6,6,6.16197027328456,6.16197027328456,6.78634838135428,7,7,7.75839145747186,7.75839145747186,6.99999999999997,6.99999999999997,6.99999999999997,8,8,7,7,5.99129875512924,5.99129875512924,2.74280526511361,2.74280526511361,5.27783350512356,5.27783350512356,6.54802906341284,6.54802906341284,1.99999999999991,1.99999999999991,1.99999999999991,4.12549737540022,4.12549737540022,4.12262444850487,4.12262444850487,5.20979661353027,5.20979661353027,0,0,0,0.0617587729277563,0.0617587729277563,7.35668559562392,7.35668559562392,6,6,6,6.99999999999996,6.99999999999996,8.00000000000002,8.00000000000002,8.00000000000002,7.03407547620636,7.03407547620636,7.99999999999998,7.99999999999998,9.09472533596494,9.09472533596494,9.09472533596494,8.8147326753744,8.8147326753744,10.9999999999999,10.9999999999999,10.9999999999999,12.5256918061749,12.5256918061749,12.5256918061749,13,13,12.378115842667,12.378115842667,12.378115842667,12.7753205446987,12.7753205446987,11.15389041184,11.15389041184,11.15389041184,9.48561792971134,9.48561792971134,9.48561792971134,8.71475015526302,8.71475015526302,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0228963661991861,1,1,1,1.73994663395358,2,2,2,2.63725388306548,3.97751974538465,4.33875708250982,4.33875708250982,5,5,5,5,5,5.46749483057041,5.46749483057041,5.0406942769286,5,5,6,6,6,5,5,5.76022644416094,6,6,6,6,6,6,6,6,6,5.10186478109926,5,5,4.99999999999998,4.99999999999998,5.29496992677112,5.29496992677112,6,6,6,6,6,6,6,6,5.99999999999997,7,7,8,8,7.78215686223855,7.78215686223855,7.78215686223855,8,8,7,7,4.97824688782299,4.97824688782299,1.87140263255677,1.87140263255677,6.99999999999999,6.99999999999999,7.09605812682573,7.09605812682573,4.30180547373748,4.30180547373748,4.30180547373748,0.250994750800135,0.250994750800135,0,0,1.00000000000004,1.00000000000004,0,0,0,0.0617587729277558,0.0617587729277558,6.71337119124777,6.71337119124777,5.99999999999996,5.99999999999996,5.99999999999996,7.8844916325098,7.8844916325098,7.52942475003525,7.52942475003525,7.52942475003525,6.99999999999996,6.99999999999996,8.42466366850322,8.42466366850322,10,10,10,9.81473267537437,9.81473267537437,12.8610475206611,12.8610475206611,12.8610475206611,13,13,13,13,13,13,13,13,13,13,10.46167123552,10.46167123552,10.46167123552,9.99999999999996,9.99999999999996,9.99999999999996,11,11,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0228963661991861,1,1,1,1.73994663395358,2,2,2,2.63725388306548,3.97751974538465,4.33875708250982,4.33875708250982,5,5,5,5,5,5.46749483057041,5.46749483057041,5.0406942769286,5,5,6,6,6,5,5,5.76022644416094,6,6,6,6,6,6,6,5.85176900680909,5.85176900680909,5.8981352189007,5,5,5.52861600143877,5.52861600143877,6,6,6,6,6,6,6,6,6,6,6.78634838135425,7,7,8,8,7.78215686223855,7.78215686223855,7.78215686223855,8,8,7,7,4.97824688782299,4.97824688782299,2.25719473488642,2.25719473488642,7.27783350512363,7.27783350512363,7.09605812682573,7.09605812682573,2.60361094747483,2.60361094747483,2.60361094747483,0,0,0,0,0,0,0,0,0,0.0741105275133076,0.0741105275133076,7,7,7,7,7,7.8844916325098,7.8844916325098,8,8,8,8,8,9.42466366850326,9.42466366850326,10,10,10,11.4073663376872,11.4073663376872,12.9305237603306,12.9305237603306,12.9305237603306,13,13,13,13,13,13,13,13,13,13,11.30778082368,11.30778082368,11.30778082368,11,11,11,10.8573750776316,10.8573750776316,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,0.0228963661991861,1,1,1,1.00000000000006,2,2.00000000000006,2.00000000000006,2.63725388306548,3.00000000000008,4.33875708250982,4.33875708250982,5.00000000000006,5,5,5,5,5,5,5,5,5,6,5.99999999999992,5.99999999999992,5.84619987640163,5.84619987640163,5.76022644416096,6,6,6,6,6.7211856157287,6.57737062025911,6.57737062025911,6,6,6,5.32752238686783,5.32752238686783,6,6,6,6,6,6,5.99999999999992,5.99999999999992,6,6,6,6,6.21365161864575,7,7,8,8,7.78215686223849,7.78215686223849,7.78215686223849,7.83108685594491,7.83108685594491,6.09483691237124,6.09483691237124,4.98694813269379,4.98694813269379,2.38579210232985,2.38579210232985,7.00000000000002,7.00000000000002,6.64408719023855,6.64408719023855,1.95270821060597,1.95270821060597,1.95270821060597,0,0,0,0,0,0,0,0,0,2.04940701834213,2.04940701834213,6.35668559562389,6.35668559562389,7,7,7,7.00000000000001,7.00000000000001,8.00000000000004,8.00000000000004,8.00000000000004,8,8,9.99999999999992,9.99999999999992,9.09472533596505,9.09472533596505,9.09472533596505,11.4073663376872,11.4073663376872,13,13,13,13,13,13,13,13,13.9999999999999,13.9999999999999,13.9999999999999,12.9999999999998,12.9999999999998,11.30778082368,11.30778082368,11.30778082368,12.0000000000001,12.0000000000001,12.0000000000001,12,12,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,0,0,0,0.0228963661991861,1,1,1,1.73994663395358,2.01870300224884,2.68227341598605,2.68227341598605,2.63725388306551,3.97751974538465,4.33875708250982,4.33875708250982,5.72119658220509,5,5,5,5,5,5,5,5.00000000000004,5.00000000000004,5.98930140145239,5,5,5.99999999999992,5.99999999999992,5.99999999999998,5.99999999999997,5.99999999999997,6,6,6.72118561572865,6.57737062025911,6.57737062025911,6,6,6,5.99999999999995,5.99999999999995,6,6,6,6,6.00000000000007,6.00000000000007,5.01658797025156,5.01658797025156,6,6,6,6,6.21365161864575,7,7,7.99999999999992,7.99999999999992,7,7,7,7.83108685594484,7.83108685594484,6.09483691237124,6.09483691237124,4.9912987551292,4.9912987551292,5.1285973674432,5.1285973674432,7.27783350512355,7.27783350512355,6.09605812682557,6.09605812682557,0,0,0,0,0,0,0,0,0,0,0,0,1.06175877292768,1.06175877292768,6.35668559562389,6.35668559562389,7,7,7,7.11550836749019,7.11550836749019,8.47057524996466,8.47057524996466,8.47057524996466,7.99999999999992,7.99999999999992,9,9,10,10,10,11.4073663376872,11.4073663376872,12.9305237603305,12.9305237603305,12.9305237603305,13,13,13,13,13,12.3781158426671,12.3781158426671,12.3781158426671,11,11,11.15389041184,11.15389041184,11.15389041184,13,13,13,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,null,null,null,0,0,0,0.0228963661991861,1,1,1,1.73994663395358,2.01870300224884,2.99999999999994,2.99999999999994,3,3.97751974538457,4.33875708250982,4.33875708250982,5.72119658220504,5,5,5,5,5,5,5,5.52636165639698,5.52636165639698,5.98930140145239,5,5,5,5,5.76022644416094,5.60985036461296,5.60985036461296,6,6,6,6.57737062025906,6.57737062025906,6.00000000000007,6.00000000000007,6,5.32752238686783,5.32752238686783,6,6,6,6,6.85665986896475,6.85665986896475,6,6,6,6,6,6,6.21365161864581,7,7,7,7,7.00000000000002,7.00000000000002,7.00000000000002,7,7,6.09483691237123,6.09483691237123,4.99129875512895,4.99129875512895,4.99999999999999,4.99999999999999,6.27783350512361,6.27783350512361,4.19211625365138,4.19211625365138,0,0,0,0,0,0,0,0,0,0,0,0,0.0741105275133076,0.0741105275133076,6.35668559562391,6.35668559562391,7,7,7,7.00000000000001,7.00000000000001,7.52942475003523,7.52942475003523,7.52942475003523,7.03407547620644,7.03407547620644,8.99999999999995,8.99999999999995,9.99999999999992,9.99999999999992,9.99999999999992,11.4073663376872,11.4073663376872,12,12,12,13,13,13,13,13,12.378115842667,12.378115842667,12.378115842667,11,11,11,11,11,10.5,10.5,10.5,null,null,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,0,0,0,0,0,0.0228963661991861,1,1,1,1.73994663395358,2,2.31772658401398,2.31772658401398,3,3,4.33875708250982,4.33875708250982,5,5,5,5,5,5,5,5,6,6,5.98930140145239,5,5,5,5,5.76022644416094,6,6,6,6,6,6,6,6.85176900680909,6.85176900680909,6,6,6,6,6,6,6,6.85665986896475,6.85665986896475,6,6,6,6,6,6,7,7,7,7,7,7.21784313776145,7.21784313776145,7.21784313776145,7,7,6,6,1.9956493775646,1.9956493775646,4.87140263255679,4.87140263255679,6,6,3.28817438047718,3.28817438047718,0,0,0,0,0,0,0,0,0,0,0,0,0.0741105275133076,0.0741105275133076,6.64331440437611,6.64331440437611,7,7,7,7.1155083674902,7.1155083674902,7,7,7,8,8,8.42466366850326,8.42466366850326,9,9,9,11.4073663376872,11.4073663376872,12,12,12,12.4743081938251,12.4743081938251,12.4743081938251,12.9617429080004,12.9617429080004,12,12,12,10.7753205446988,10.7753205446988,10.84610958816,10.84610958816,10.84610958816,10.4856179297114,10.4856179297114,10.4856179297114,7,7,6,6,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,0,0,0,null,null,0,0,0,0,0,0.0228963661991861,1,1,1,1.73994663395355,2.01870300224884,2.99999999999999,2.99999999999999,3.00000000000001,3.00000000000004,4.33875708250982,4.33875708250982,5.72119658220509,5,5,5,5,5.53250516942959,5.53250516942959,5,6,6,5.98930140145239,5,5,5.00000000000001,5.00000000000001,5.76022644416095,5.99999999999998,5.99999999999998,6,6,6,5.99999999999998,5.99999999999998,6.99999999999996,6.99999999999996,6.10186478109929,5.3275223868678,5.3275223868678,5.47138399856124,5.47138399856124,6,6,6,6,6,6,6,6,6.83802972671542,6.83802972671542,7,7,7,6.99999999999998,6.99999999999998,7.78215686223852,7.78215686223852,7.78215686223852,7,7,6,6,1.99129875512915,1.99129875512915,4.99999999999999,4.99999999999999,5.99999999999996,5.99999999999996,3.19211625365143,3.19211625365143,0,0,0,0,0,0,0,0,0,0,0,0,0.0617587729279521,0.0617587729279521,6.35668559562378,6.35668559562378,6,6,6,7,7,7.52942475003527,7.52942475003527,7.52942475003527,8,8,8,8,8.99999999999999,8.99999999999999,8.99999999999999,11.4073663376872,11.4073663376872,12,12,12,12.474308193825,12.474308193825,12.474308193825,13,13,11.7562316853341,11.7562316853341,11.7562316853341,11,11,10.84610958816,10.84610958816,10.84610958816,10.5143820702886,10.5143820702886,10.5143820702886,9.85737507763155,9.85737507763155,6.81652843756892,6.81652843756892,6.81652843756892,6.4932957996872,6.4932957996872,6.4932957996872,6.00000000000004,6.00000000000004,5.00000000000008,5.00000000000008,5.00000000000008,6.49999999999999,6.49999999999999,6.49999999999999,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,0,0,null,null,null,null,null,0,0,0,0,0,0,0.0228963661991861,1,1,1,1,2.01870300224884,2.68227341598601,2.68227341598601,3.27450776613098,4,4.33875708250984,4.33875708250984,5.72119658220509,5,5,5,5,5.53250516942959,5.53250516942959,5,6,6,5.98930140145239,5,5,5.15380012359838,5.15380012359838,6,5.60985036461292,5.60985036461292,6,6,6,5.57737062025913,5.57737062025913,6,6,6,6,6,5.52861600143878,5.52861600143878,6,6,6,6,6,6,6,6,6.16197027328458,6.16197027328458,7.00000000000001,6.99999999999997,6.99999999999997,6.5167829149437,6.5167829149437,7.00000000000001,7.00000000000001,7.00000000000001,7,7,6,6,0.995649377564597,0.995649377564597,4.87140263255679,4.87140263255679,5,5,2.74014531706432,2.74014531706432,0,0,0,0,0,0,0,0,0,0,0,0,4.93824122707228,4.93824122707228,3.71337119124773,3.71337119124773,6,6,6,7,7,7.52942475003525,7.52942475003525,7.52942475003525,8,8,8,8,8.90527466403499,8.90527466403499,8.90527466403499,11.4073663376872,11.4073663376872,11.0694762396694,11.0694762396694,11.0694762396694,12,12,12,13,13,10.7562316853341,10.7562316853341,10.7562316853341,12,12,11.15389041184,11.15389041184,11.15389041184,10,10,10,9.85737507763156,9.85737507763156,9,9,9,8,8,8,7.00000000000004,7.00000000000004,7,7,7,6.33169924752549,6.33169924752549,6.33169924752549,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0.0228963661991861,1,1,1,1,2,2.31772658401398,2.31772658401398,3.63725388306548,4,5,5,5.72119658220509,5,5,5,5,5.53250516942959,5.53250516942959,5,6,6,5.98930140145239,5,5,5.15380012359838,5.15380012359838,6,5.60985036461292,5.60985036461292,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6.83802972671544,6.83802972671544,7.21365161864575,6.24020701152484,6.24020701152484,5.75839145747187,5.75839145747187,7.21784313776145,7.21784313776145,7.21784313776145,7,7,6,6,0.995649377564597,0.995649377564597,5,5,5,5,2.74014531706432,2.74014531706432,0,0,0,0,0,0,0,0,0,0,0,0,5.92588947248669,5.92588947248669,2.42674238249556,2.42674238249556,6,6,6,7,7,7,7,7,8,8,8,8,8,8,8,11,11,11,11,11,11.4743081938251,11.4743081938251,11.4743081938251,12.9617429080004,12.9617429080004,11,11,11,11.2246794553012,11.2246794553012,11.15389041184,11.15389041184,11.15389041184,11,11,11,10,10,9,9,9,8,8,8,8,8,7,7,7,6.33169924752549,6.33169924752549,6.33169924752549,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0.0228963661991861,1,1,1,1.73994663395358,2.01870300224884,3,3,3.63725388306548,4,5,5,5.72119658220509,5,5,5,5,5.53250516942959,5.53250516942959,5,6,6,5.98930140145239,5,5,5.15380012359838,5.15380012359838,6,6,6,6,6,6,6,6,6,6,6.8981352189007,6,6,6,6,6,6,6,6,5.01658797025148,5.01658797025148,6,6,6,6,7,6.24020701152484,6.24020701152484,6.51678291494373,6.51678291494373,7,7,7,6.83108685594491,6.83108685594491,6,6,1.99129875512919,1.99129875512919,5,5,4.44433298975274,4.44433298975274,1.09605812682573,1.09605812682573,0,0,0,0,0,0,0,0,0,0,0,0,4.93824122707224,4.93824122707224,2.42674238249556,2.42674238249556,5.72449609558102,5.72449609558102,5.72449609558102,7,7,7,7,7,8,8,8.57533633149675,8.57533633149675,9,9,9,11,11,11,11,11,11.4743081938251,11.4743081938251,11.4743081938251,12,12,10.7562316853341,10.7562316853341,10.7562316853341,11,11,11.69221917632,11.69221917632,11.69221917632,11,11,11,10.8573750776316,10.8573750776316,10.8165284375688,10.8165284375688,10.8165284375688,9,9,9,9,9,8,8,8,7,7,7,6.58310169460759,6.58310169460759,6.58310169460759,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0228963661991861,1,1,1,1.73994663395358,2.01870300224884,3,3,3.63725388306548,4,5,5,5,5,5,5,5,5.53250516942959,5.53250516942959,5,6,6,6,5.42931262611003,5.42931262611003,6,6,6,6,6,6,6,6,6,6,6,6,6,6.32752238686778,6.32752238686778,6.47138399856123,6.47138399856123,6,6,6,6,6,6,6,6,6.16197027328456,6.16197027328456,7,6.51958597695033,6.51958597695033,7,7,7,7,7,6.83108685594491,6.83108685594491,6,6,0,0,3.38579210232963,3.38579210232963,1.44433298975274,1.44433298975274,0.451970936587137,0.451970936587137,1.74548631565646,1.74548631565646,1.74548631565646,0,0,0,0,0,0,0,0,0,0,0,2.78342797811945,2.78342797811945,5,5,5,7.8844916325098,7.8844916325098,7,7,7,7.96592452379364,7.96592452379364,9,9,9.90527466403502,9.90527466403502,9.90527466403502,11,11,11,11,11,12,12,12,12,12,10.3781158426671,10.3781158426671,10.3781158426671,11,11,11.15389041184,11.15389041184,11.15389041184,12,12,12,12,12,12,12,12,12,12,12,11,11,9.06673236413109,9.06673236413109,9.06673236413109,8.33169924752549,8.33169924752549,8.33169924752549,6.58310169460759,6.58310169460759,6.58310169460759,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0228963661991861,1,0.99999999999998,0.99999999999998,1.73994663395357,2.0187030022488,3,3,3.63725388306548,4,5.33875708250983,5.33875708250983,5.27880341779492,5,5,5,5,5.53250516942959,5.53250516942959,5,6,6,6,6,6,5.15380012359839,5.15380012359839,6.00000000000001,5.60985036461291,5.60985036461291,6,6,6,5.99999999999998,5.99999999999998,6,6,6,6.67247761313225,6.67247761313225,6.52861600143879,6.52861600143879,6,6,6,6,6,6,6,6,5.99999999999996,5.99999999999996,5.99999999999995,6.51958597695028,6.51958597695028,7.24160854252814,7.24160854252814,7,7,7,6.16891314405509,6.16891314405509,5.90516308762879,5.90516308762879,-1.2008767645341e-13,-1.2008767645341e-13,2.51438946977288,2.51438946977288,1.44433298975277,1.44433298975277,-1.81446736158176e-14,-1.81446736158176e-14,2.0945835787876,2.0945835787876,2.0945835787876,-5.03817553728228e-15,-5.03817553728228e-15,0,0,0,0,0,0,0,0,0,2.14011357374342,2.14011357374342,5.00000000000001,5.00000000000001,5.00000000000001,7.00000000000003,7.00000000000003,7,7,7,7.96592452379368,7.96592452379368,8.99999999999998,8.99999999999998,9.90527466403502,9.90527466403502,9.90527466403502,11,11,11,11,11,12,12,12,11.9617429080004,11.9617429080004,10.6218841573329,10.6218841573329,10.6218841573329,12,12,11.30778082368,11.30778082368,11.30778082368,12,12,12,12,12,13.0000000000001,13.0000000000001,13.0000000000001,12,12,12,12,12,11,11,11,8.33169924752541,8.33169924752541,8.33169924752541,7.58310169460755,7.58310169460755,7.58310169460755,6.82166608437109,6.82166608437109,6.00000000000004,6.00000000000004,6.00000000000004,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0228963661991861,1,1.48121958162126,1.48121958162126,2,3,3,3,3.63725388306548,4,5,5,5,5,5,5,5,5.53250516942959,5.53250516942959,5,6,6,6,6,6,5,5,5.76022644416094,6,6,6,6,6,6.42262937974086,6.42262937974086,6.00000000000007,6.00000000000007,6,6.00000000000008,6.00000000000008,6.00000000000004,6.00000000000004,6,6,6,6,6,6,6,6,6.99999999999999,6.99999999999999,7.21365161864575,7.75979298847516,7.75979298847516,7,7,7,7,7,6,6,5.09483691237131,5.09483691237131,2.99129875512936,2.99129875512936,1.64298683721605,1.64298683721605,0.722166494876312,0.722166494876312,0.451970936587282,0.451970936587282,6.00000000000013,6.00000000000013,6.00000000000013,0.125497375400113,0.125497375400113,0,0,0,0,0,0,0,0,0,0,0,4.72449609558064,4.72449609558064,4.72449609558064,6.11550836749014,6.11550836749014,7,7,7,7,7,9.42466366850322,9.42466366850322,9.90527466403495,9.90527466403495,9.90527466403495,10.9999999999999,10.9999999999999,11,11,11,11.5256918061749,11.5256918061749,11.5256918061749,11.9617429080003,11.9617429080003,11,11,11,12,12,12,12,12,12.5143820702886,12.5143820702886,12.5143820702886,12.1426249223684,12.1426249223684,11.1834715624312,11.1834715624312,11.1834715624312,11.5067042003129,11.5067042003129,11.5067042003129,12,12,12,12,12,10.3316992475255,10.3316992475255,10.3316992475255,8.58310169460759,8.58310169460759,8.58310169460759,7,7,5.04813704404319,5.04813704404319,5.04813704404319,5.99999999999994,5.99999999999994,5.99999999999994,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0228963661991861,1,1.48121958162126,1.48121958162126,2,3,3,3,3.63725388306548,4,5,5,5,5,5,5,5.00000000000008,5.53250516942959,5.53250516942959,5,6,6,6,6,6,5,5,5.76022644416094,6,6,6,6,6,6,6,6.85176900680909,6.85176900680909,6.00000000000007,7,7,6.5286160014388,6.5286160014388,6,6,6,6,6,6,6.00000000000007,6.00000000000007,6.83802972671552,6.83802972671552,7.21365161864567,7.75979298847516,7.75979298847516,7,7,7,7,7,6,6,5.99999999999993,5.99999999999993,4.9956493775646,4.9956493775646,1.64298683721605,1.64298683721605,0,0,2.25985468293572,2.25985468293572,7.65090273686876,7.65090273686876,7.65090273686876,0.752984252400736,0.752984252400736,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5.3465251024706,5.3465251024706,7.00000000000004,7.00000000000004,7.00000000000004,7,7,8.99999999999995,8.99999999999995,9,9,9,10,10,11,11,11,11,11,11,11,11,10.3781158426671,10.3781158426671,10.3781158426671,12,12,12,12,12,12.5143820702886,12.5143820702886,12.5143820702886,11.1426249223685,11.1426249223685,12,12,12,11.5067042003129,11.5067042003129,11.5067042003129,11.9999999999999,11.9999999999999,12,12,12,10.3316992475256,10.3316992475256,10.3316992475256,8.58310169460763,8.58310169460763,8.58310169460763,7.00000000000006,7.00000000000006,7,7,7,5.26327658050413,5.26327658050413,5.26327658050413,5.99999999999996,5.99999999999996,5.99999999999996,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0228963661991861,1,1.48121958162126,1.48121958162126,2,3,3,3,3.63725388306548,4,5,5,5,4.99999999999999,4.99999999999996,4.99999999999996,5.99799513703753,5.53250516942959,5.53250516942959,4.99999999999996,6,6,6,6,6,5,5,5.76022644416094,6,6,6,6,6,6,6,6.85176900680909,6.85176900680909,6.8981352189007,7,7,7,7,5.99999999999997,5.99999999999997,5.99999999999997,5.99999999999997,6,6,6.91479486498987,6.91479486498987,7.83802972671548,7.83802972671548,6.21365161864572,7.7597929884752,7.7597929884752,7,7,7,7,7,5.99999999999997,5.99999999999997,5.0948369123712,5.0948369123712,5,5,1.6429868372161,1.6429868372161,0,0,2.7118256195228,2.7118256195228,8.30180547373737,8.30180547373737,8.30180547373737,5.25099475080001,5.25099475080001,-2.1133694755586e-13,-2.1133694755586e-13,0,0,0,0,0,0,0,0,0,0,0,0,5.34652510247079,5.34652510247079,7.47057524996477,7.47057524996477,7.47057524996477,6.99999999999996,6.99999999999996,8.42466366850327,8.42466366850327,9.00000000000004,9.00000000000004,9.00000000000004,10,10,11,11,11,11.525691806175,11.525691806175,11.525691806175,11.0382570919996,11.0382570919996,10.7562316853341,10.7562316853341,10.7562316853341,12,12,12,12,12,12.5143820702886,12.5143820702886,12.5143820702886,12,12,12,12,12,11.5067042003128,11.5067042003128,11.5067042003128,11.2125062783052,11.2125062783052,12.0667323641311,12.0667323641311,12.0667323641311,11.3316992475255,11.3316992475255,11.3316992475255,8.99999999999998,8.99999999999998,8.99999999999998,7.82166608437105,7.82166608437105,6.99999999999996,6.99999999999996,6.99999999999996,5.99999999999992,5.99999999999992,5.99999999999992,5.53213684693882,5.53213684693882,5.53213684693882,6.49999999999999,6.49999999999999,6.49999999999999,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0228963661991861,1,1.48121958162126,1.48121958162126,2,3,3,3,3.63725388306548,4,5,5,5,5.12506640616502,6,6,6,5.53250516942959,5.53250516942959,5.9593057230714,6,6,6,6,6,5,5,5.76022644416094,6,6,6,6,6,6,6,6.85176900680909,6.85176900680909,6.8981352189007,7,7,7,7,6.70503007322886,6.70503007322886,6.85665986896475,6.85665986896475,6,6,6,6,7,7,7.00000000000001,7,7,7,7,7,7,7,6.83108685594488,6.83108685594488,6,6,5,5,0.385792102329616,0.385792102329616,0,0,3.16379655610998,3.16379655610998,9.34909726313128,9.34909726313128,9.34909726313128,8.1254973754001,8.1254973754001,5.26425330897185,5.26425330897185,4.85680890452373e-14,4.85680890452373e-14,0,0,0,0,0,0,0,0,0,0,0.693050204941173,0.693050204941173,6.52942475003525,6.52942475003525,6.52942475003525,7.99999999999996,7.99999999999996,8,8,8,8,8,9.40736633768722,9.40736633768722,10.9305237603305,10.9305237603305,10.9305237603305,11,11,11,11,11,11.6218841573329,11.6218841573329,11.6218841573329,12,12,12,12,12,12.4856179297114,12.4856179297114,12.4856179297114,11.1426249223685,11.1426249223685,12,12,12,12,12,12,11,11,11,11,11,11,11,11,9.58310169460763,9.58310169460763,9.58310169460763,9.00000000000001,9.00000000000001,8.00000000000004,8.00000000000004,8.00000000000004,8,8,8,6.00000000000002,6.00000000000002,6.00000000000002,6.66269068982578,6.66269068982578,6.66269068982578,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0228963661991861,1,1.48121958162126,1.48121958162126,2,3,3,3,3.63725388306548,4,5,5,5,5.12506640616502,6,6,6,5.53250516942959,5.53250516942959,5.9593057230714,6,6,6,6,6,5,5,5.76022644416094,6,6,6,6,6,6,6,6.85176900680909,6.85176900680909,6.8981352189007,7,7,7,7,7,7,6.85665986896475,6.85665986896475,6,6,6,6,7,7,7.21365161864575,7,7,7,7,7,7,7,6,6,6,6,5,5,0,0,0,0,3.61576749269709,3.61576749269709,9,9,9,9.12549737540006,9.12549737540006,6.6321266544859,6.6321266544859,1.2097966135301,1.2097966135301,0,0,0,0,0,0,0,0,0,0,0.115508367490199,0.115508367490199,6.05884950007054,6.05884950007054,6.05884950007054,6.96592452379364,6.96592452379364,8,8,8.09472533596498,8.09472533596498,8.09472533596498,9.40736633768722,9.40736633768722,10,10,10,10.5256918061749,10.5256918061749,10.5256918061749,11,11,11.6218841573329,11.6218841573329,11.6218841573329,12,12,12,12,12,12.4856179297114,12.4856179297114,12.4856179297114,11.8573750776316,11.8573750776316,11.8165284375688,11.8165284375688,11.8165284375688,11.5067042003129,11.5067042003129,11.5067042003129,10,10,11,11,11,11,11,11,10.5831016946076,10.5831016946076,10.5831016946076,9.1783339156289,9.1783339156289,9.04813704404303,9.04813704404303,9.04813704404303,8,8,8,6.46786315306116,6.46786315306116,6.46786315306116,6.66269068982578,6.66269068982578,6.66269068982578,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0.0228963661992646,1,1.48121958162126,1.48121958162126,2,3,3,3,3.63725388306548,4.97751974538465,5,5,5.72119658220504,6,6,6,6,5,5,5.00000000000008,6,6,5.98930140145239,5.57068737388997,5.57068737388997,5.84619987640162,5.84619987640162,5.76022644416094,5.60985036461292,5.60985036461292,6,6,6,6,6,6.85176900680909,6.85176900680909,6.8981352189007,7,7,7,7,7,7,6,6,6,6,6.91479486498976,6.91479486498976,6.83802972671544,6.83802972671544,7.99999999999994,7,7,7,7,6.99999999999994,6.99999999999994,6.99999999999994,6.00000000000001,6.00000000000001,5.09483691237124,5.09483691237124,5.9956493775646,5.9956493775646,0,0,0,0,6.25985468293573,6.25985468293573,9.65090273686871,9.65090273686871,9.65090273686871,10,10,8.7547511029906,8.7547511029906,3.62938984059031,3.62938984059031,0,0,0,0,0,0,0,0,0,0,0,0,3.17654850021153,3.17654850021153,3.17654850021153,6.96592452379356,6.96592452379356,9.15067266299341,9.15067266299341,8.00000000000008,8.00000000000008,8.00000000000008,8.40736633768722,8.40736633768722,9.93052376033057,9.93052376033057,9.93052376033057,11,11,11,11,11,11.6218841573329,11.6218841573329,11.6218841573329,11.2246794553012,11.2246794553012,11.15389041184,11.15389041184,11.15389041184,12,12,12,11,11,11,11,11,11.5067042003129,11.5067042003129,11.5067042003129,10.7874937216948,10.7874937216948,10.9332676358688,10.9332676358688,10.9332676358688,9.6683007524745,9.6683007524745,9.6683007524745,10.5831016946076,10.5831016946076,10.5831016946076,10.0000000000001,10.0000000000001,9.04813704404303,9.04813704404303,9.04813704404303,8.99999999999998,8.99999999999998,8.99999999999998,8,8,8,7.32538137965161,7.32538137965161,7.32538137965161,6.00000000000008,6.00000000000008,5.05263087420886,5.05263087420886,5.05263087420886,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1.48121958162126,1.48121958162126,2,3,3,3,3.63725388306548,4.97751974538465,5,5,5,6,6,6,6,5,5,5.9593057230714,6,6,5.98930140145239,5.57068737388997,5.57068737388997,5.84619987640162,5.84619987640162,5.76022644416094,5.60985036461292,5.60985036461292,6,6,6,6,6,6.85176900680909,6.85176900680909,6.8981352189007,7,7,7,7,7,7,6,6,6,6,6,6,6.83802972671544,6.83802972671544,7.21365161864575,7,7,7,7,6.21784313776145,6.21784313776145,6.21784313776145,6.16891314405509,6.16891314405509,5.09483691237124,5.09483691237124,5.9956493775646,5.9956493775646,0,0,0,0,6.80788374634855,6.80788374634855,9.65090273686871,9.65090273686871,9.65090273686871,10,10,8.7547511029906,8.7547511029906,3.62938984059031,3.62938984059031,0,0,0,0,0,0,0,0,0,0,0,0,2.11769900014108,2.11769900014108,2.11769900014108,6,6,8.15067266299349,8.15067266299349,9,9,9,8.40736633768722,8.40736633768722,9.93052376033057,9.93052376033057,9.93052376033057,11,11,11,10.9617429080004,10.9617429080004,10.6218841573329,10.6218841573329,10.6218841573329,11,11,11.15389041184,11.15389041184,11.15389041184,11.5143820702886,11.5143820702886,11.5143820702886,11,11,11.1834715624312,11.1834715624312,11.1834715624312,11.4932957996871,11.4932957996871,11.4932957996871,10.7874937216948,10.7874937216948,10,10,10,9.66830075247451,9.66830075247451,9.66830075247451,11,11,11,10.8216660843711,10.8216660843711,9.04813704404303,9.04813704404303,9.04813704404303,8.73672341949593,8.73672341949593,8.73672341949593,8,8,8,7.98807206947734,7.98807206947734,7.98807206947734,7,7,6.02631543710439,6.02631543710439,6.02631543710439,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6.60652831842975e-14,1,1.00000000000002,1.48121958162131,1.48121958162131,2.00000000000006,3,3,3,3.63725388306548,4.97751974538465,5.33875708250982,5.33875708250982,5.27880341779491,5.12506640616502,5.44940812546679,5.44940812546679,5,5.46749483057041,5.46749483057041,6,6,6,5.98930140145239,5.57068737388992,5.57068737388992,5.84619987640163,5.84619987640163,5.76022644416096,5.60985036461296,5.60985036461296,5.08749249528081,5.08749249528081,6.27881438427129,6,6,6.85176900680911,6.85176900680911,6.89813521890071,7,7,7,7,7,7,6.85665986896469,6.85665986896469,6.01658797025148,6.01658797025148,6.99999999999999,6.99999999999999,6.99999999999999,6.99999999999999,7.21365161864575,6.75979298847515,6.75979298847515,6.99999999999992,6.99999999999992,6,6,6,6.83108685594491,6.83108685594491,4.09483691237132,4.09483691237132,6,6,0,0,0.833500515371072,0.833500515371072,7.35591280976141,7.35591280976141,9.00000000000003,9.00000000000003,9.00000000000003,9.00000000000007,9.00000000000007,9.75475110299053,9.75475110299053,3.62938984059031,3.62938984059031,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5.93184904758712,5.93184904758712,6.99999999999995,6.99999999999995,8.00000000000007,8.00000000000007,8.00000000000007,8.40736633768722,8.40736633768722,9,9,9,10,10,10,10.9617429080004,10.9617429080004,11,11,11,11,11,11,11,11,10.4856179297113,10.4856179297113,10.4856179297113,11.8573750776315,11.8573750776315,12,12,12,11.5067042003127,11.5067042003127,11.5067042003127,10.5749874433896,10.5749874433896,9.99999999999999,9.99999999999999,9.99999999999999,10,10,10,10.5831016946076,10.5831016946076,10.5831016946076,11,11,8.99999999999992,8.99999999999992,8.99999999999992,7.52655316100824,7.52655316100824,7.52655316100824,8.53213684693888,8.53213684693888,8.53213684693888,8.98807206947737,8.98807206947737,8.98807206947737,8.99999999999999,8.99999999999999,7.99999999999984,7.99999999999984,7.99999999999984,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.822819648039127,1,1.24228280601027,2,2,2.73994663395355,3,3,3,3.63725388306548,4.97751974538465,5.33875708250982,5.33875708250982,5.27880341779491,5.12506640616502,5.44940812546679,5.44940812546679,5,5.46749483057041,5.46749483057041,6,6,6,5.98930140145239,5.00000000000004,5.00000000000004,6,6,6,5.99999999999998,5.99999999999998,5.08749249528085,5.08749249528085,6.27881438427128,6.00000000000002,6.00000000000002,7,7,6.99999999999996,7,7,7,7,6.99999999999997,6.99999999999997,6.14334013103528,6.14334013103528,6,6,6.91479486498983,6.91479486498983,6.83802972671545,6.83802972671545,7.21365161864575,6.51958597695033,6.51958597695033,6.00000000000003,6.00000000000003,6,6,6,6.83108685594491,6.83108685594491,5.09483691237124,5.09483691237124,5.99129875512915,5.99129875512915,0,0,3.11133402049456,3.11133402049456,7.35591280976141,7.35591280976141,9.34909726313132,9.34909726313132,9.34909726313132,9.87450262459994,9.87450262459994,8.8773755514953,8.8773755514953,3.62938984059033,3.62938984059033,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3.86369809517441,3.86369809517441,6.42466366850326,6.42466366850326,8.90527466403499,8.90527466403499,8.90527466403499,8.40736633768722,8.40736633768722,9.00000000000004,9.00000000000004,9.00000000000004,10,10,10,11,11,11,11,11,11,11,11,11,11,10,10,10,11,11,12,12,12,10,10,10,10.5749874433895,10.5749874433895,9.93326763586888,9.93326763586888,9.93326763586888,10,10,10,10.4168983053924,10.4168983053924,10.4168983053924,11,11,8.04813704404307,8.04813704404307,8.04813704404307,8.73672341949591,8.73672341949591,8.73672341949591,8.99999999999998,8.99999999999998,8.99999999999998,9.32538137965151,9.32538137965151,9.32538137965151,8.8485675502993,8.8485675502993,6.05263087420882,6.05263087420882,6.05263087420882,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.822819648039127,1,1.24228280601028,2.00000000000002,2.00000000000002,2,3,3,3,3.63725388306548,4.97751974538465,5.33875708250982,5.33875708250982,5.27880341779491,5.12506640616502,5.44940812546676,5.44940812546676,5,5.46749483057041,5.46749483057041,6,6,6,6,6,6,6,6,6,5.60985036461293,5.60985036461293,6,6,6,6.42262937974091,6.42262937974091,7,7,6.1018647810993,7.00000000000004,7.00000000000004,7,7,6.29496992677116,6.29496992677116,6.85665986896474,6.85665986896474,6,6,6.91479486498983,6.91479486498983,7,7,7.21365161864579,6.51958597695033,6.51958597695033,6.75839145747193,6.75839145747193,6.00000000000001,6.00000000000001,6.00000000000001,6.83108685594491,6.83108685594491,5.0948369123712,5.0948369123712,4.98259751025855,4.98259751025855,0,0,4.27783350512355,4.27783350512355,7.4519709365871,7.4519709365871,10,10,10,10,10,9,9,4.23428814735534,4.23428814735534,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6.42466366850326,6.42466366850326,8,8,8,8.40736633768723,8.40736633768723,9.93052376033061,9.93052376033061,9.93052376033061,9.99999999999998,9.99999999999998,9.99999999999998,9.99999999999996,9.99999999999996,9.99999999999998,9.99999999999998,9.99999999999998,11,11,11.15389041184,11.15389041184,11.15389041184,10,10,10,11,11,11.1834715624312,11.1834715624312,11.1834715624312,10,10,10,8.99999999999997,8.99999999999997,9.06673236413109,9.06673236413109,9.06673236413109,10,10,10,10.0000000000001,10.0000000000001,10.0000000000001,10.8216660843711,10.8216660843711,9.00000000000004,9.00000000000004,9.00000000000004,8.26327658050412,8.26327658050412,8.26327658050412,8.5321368469389,8.5321368469389,8.5321368469389,8.00000000000001,8.00000000000001,8.00000000000001,8.00000000000004,8.00000000000004,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.822819648039127,1,1,1.48121958162126,1.48121958162126,2,3,3,3,3.63725388306548,4.97751974538465,5.33875708250977,5.33875708250977,5.27880341779496,5.12506640616502,6,6,5.00200486296247,5.46749483057041,5.46749483057041,6,6,6,6,6,6,5.9999999999999,5.9999999999999,6,5.6098503646129,5.6098503646129,6,6,6,6,6,7,7,6.1018647810993,6,6,6.99999999999994,6.99999999999994,6,6,7,7,6.00000000000012,6.00000000000012,6.91479486498972,6.91479486498972,7,7,6.21365161864587,6.51958597695036,6.51958597695036,5.24160854252822,5.24160854252822,5.78215686223846,5.78215686223846,5.78215686223846,6.83108685594503,6.83108685594503,6.09483691237122,6.09483691237122,0.995649377564477,0.995649377564477,3.09757606681028e-14,3.09757606681028e-14,6.2778335051236,6.2778335051236,8.35591280976148,8.35591280976148,10,10,10,10,10,9.1226244485047,9.1226244485047,4.83918645412067,4.83918645412067,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6.4246636685032,6.4246636685032,7.90527466403502,7.90527466403502,7.90527466403502,7.99999999999993,7.99999999999993,9,9,9,10.4743081938249,10.4743081938249,10.4743081938249,10.9617429080004,10.9617429080004,10.6218841573329,10.6218841573329,10.6218841573329,11,11,11.15389041184,11.15389041184,11.15389041184,10,10,10,10.1426249223685,10.1426249223685,11,11,11,10,10,10,9.78749372169468,9.78749372169468,8.99999999999999,8.99999999999999,8.99999999999999,8.99999999999992,8.99999999999992,8.99999999999992,8.41689830539243,8.41689830539243,8.41689830539243,10.6433321687421,10.6433321687421,8.04813704404291,8.04813704404291,8.04813704404291,7.00000000000003,7.00000000000003,7.00000000000003,7.00000000000006,7.00000000000006,7.00000000000006,7.6626906898257,7.6626906898257,7.6626906898257,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.822819648039127,1,1,1.48121958162126,1.48121958162126,2.00000000000003,3,3,3,3.63725388306548,4.97751974538465,5,5,5.72119658220509,5.12506640616501,5.99999999999998,5.99999999999998,5.00200486296251,5.46749483057041,5.46749483057041,6,6,6,6,5.99999999999998,5.99999999999998,5.15380012359838,5.15380012359838,6,5.3901496353871,5.3901496353871,5.99999999999996,5.99999999999996,5.99999999999999,6.00000000000002,6.00000000000002,6.99999999999997,6.99999999999997,6.1018647810993,6,6,6.47138399856123,6.47138399856123,6.00000000000004,6.00000000000004,6.99999999999999,6.99999999999999,6.98341202974848,6.98341202974848,6,6,7,7,7.21365161864578,6.75979298847515,6.75979298847515,5.99999999999998,5.99999999999998,4.99999999999982,4.99999999999982,4.99999999999982,7.83108685594487,7.83108685594487,6,6,0,0,0.257194734886552,0.257194734886552,6.00000000000001,6.00000000000001,8.9039418731743,8.9039418731743,10,10,10,10,10,9.12262444850477,9.12262444850477,7.02449153382529,7.02449153382529,3.71250637631737e-14,3.71250637631737e-14,3.71250637631737e-14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5.99999999999998,5.99999999999998,7.90527466403498,7.90527466403498,7.90527466403498,7.40736633768722,7.40736633768722,9,9,9,9.47430819382507,9.47430819382507,9.47430819382507,11,11,10.3781158426671,10.3781158426671,10.3781158426671,11,11,11.15389041184,11.15389041184,11.15389041184,10,10,10,11,11,11,11,11,9.99999999999996,9.99999999999996,9.99999999999996,8.99999999999999,8.99999999999999,8.93326763586888,8.93326763586888,8.93326763586888,8.33169924752548,8.33169924752548,8.33169924752548,8.58310169460753,8.58310169460753,8.58310169460753,9.82166608437098,9.82166608437098,7.04813704404303,7.04813704404303,7.04813704404303,7.26327658050403,7.26327658050403,7.26327658050403,7.4678631530611,7.4678631530611,7.4678631530611,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.822819648039127,1,1.00000000000012,1.48121958162133,1.48121958162133,2.73994663395358,3,3,3,3.63725388306548,4.97751974538465,5,5,5.72119658220509,5,5.55059187453321,5.55059187453321,6,5.46749483057041,5.46749483057041,6,6,6,6,5.42931262611003,5.42931262611003,5.15380012359836,5.15380012359836,5.99999999999988,6,6,5.00000000000012,5.00000000000012,5.72118561572865,6.42262937974084,6.42262937974084,6.14823099319091,6.14823099319091,6.1018647810993,6.00000000000008,6.00000000000008,6.47138399856123,6.47138399856123,7,7,6.85665986896475,6.85665986896475,6,6,6,6,7,7,7.99999999999997,6.48041402304973,6.48041402304973,5.48321708505636,5.48321708505636,0.435686275522873,0.435686275522873,0.435686275522873,6.83108685594491,6.83108685594491,6.09483691237112,6.09483691237112,0,0,3.51438946977274,3.51438946977274,6.27783350512363,6.27783350512363,9.45197093658714,9.45197093658714,10.6509027368686,10.6509027368686,10.6509027368686,10.0000000000001,10.0000000000001,10.8773755514953,10.8773755514953,7.81469492029515,7.81469492029515,0.924758978594724,0.924758978594724,0.924758978594724,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5.42466366850275,5.42466366850275,6.90527466403491,6.90527466403491,6.90527466403491,7.40736633768722,7.40736633768722,8.93052376033057,8.93052376033057,8.93052376033057,9.47430819382507,9.47430819382507,9.47430819382507,10.9999999999999,10.9999999999999,11,11,11,11.5506410893975,11.5506410893975,10.15389041184,10.15389041184,10.15389041184,10.5143820702886,10.5143820702886,10.5143820702886,10.8573750776314,10.8573750776314,10.9999999999999,10.9999999999999,10.9999999999999,9.00000000000012,9.00000000000012,9.00000000000012,8.7874937216948,8.7874937216948,8,8,8,7.99999999999992,7.99999999999992,7.99999999999992,7,7,7,7,7,7,7,7,6.26327658050404,6.26327658050404,6.26327658050404,6,6,6,7,7,7,null,null,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2.57659524607684e-14,0.822819648039134,1.02289636619919,2,2,2,2.73994663395358,3,3,3,3.63725388306548,4.97751974538465,5,5,5.72119658220509,5,5.55059187453321,5.55059187453321,6,5.46749483057041,5.46749483057041,6,6,6,6,5.42931262611002,5.42931262611002,5,5,5,6,6,6,6,5.2788143842713,6,6,6.14823099319094,6.14823099319094,6.10186478109933,6.67247761313223,6.67247761313223,6.47138399856126,6.47138399856126,6.99999999999997,6.99999999999997,6.85665986896475,6.85665986896475,6,6,6.00000000000004,6.00000000000004,7,7,7.78634838135425,7,7,6.24160854252809,6.24160854252809,0.217843137761441,0.217843137761441,0.217843137761441,6.83108685594492,6.83108685594492,5.09483691237124,5.09483691237124,0,0,2.64298683721598,2.64298683721598,6.27783350512367,6.27783350512367,9.45197093658714,9.45197093658714,10,10,10,10.8745026245999,10.8745026245999,10.8773755514953,10.8773755514953,7.81469492029519,7.81469492029519,1.23301197145963,1.23301197145963,1.23301197145963,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.27399100550971,1.27399100550971,6,6,6,7.40736633768723,7.40736633768723,8.93052376033057,8.93052376033057,8.93052376033057,9.47430819382507,9.47430819382507,9.47430819382507,10.0382570919996,10.0382570919996,11,11,11,11.2246794553013,11.2246794553013,10,10,10,10,10,10,9.99999999999996,9.99999999999996,10.1834715624312,10.1834715624312,10.1834715624312,10,10,10,9.00000000000003,9.00000000000003,8,8,8,7.33169924752549,7.33169924752549,7.33169924752549,6.99999999999996,6.99999999999996,6.99999999999996,6.99999999999999,6.99999999999999,6.99999999999996,6.99999999999996,6.99999999999996,5.99999999999997,5.99999999999997,5.99999999999997,null,null,null,null,null,null,null,null,6,6,6,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.641811581311782,1,1.02289636619919,2,2,2,2.73994663395358,3,3,3,3.63725388306548,4.97751974538465,5,5,5.72119658220509,5,5.55059187453322,5.55059187453322,6,5.46749483057041,5.46749483057041,6,6,6,5.98930140145239,5,5,5,5,5,6,6,6,6,5.2788143842713,6,6,7,7,7,6.67247761313223,6.67247761313223,7,7,6.29496992677115,6.29496992677115,6.85665986896475,6.85665986896475,6,6,6.91479486498983,6.91479486498983,7,7,7.78634838135425,7,7,5.24160854252813,5.24160854252813,0,0,0,7,7,5.09483691237124,5.09483691237124,0,0,0.900181572102474,0.900181572102474,7.27783350512363,7.27783350512363,9.45197093658714,9.45197093658714,10,10,10,11,11,10.8773755514953,10.8773755514953,8.81469492029516,8.81469492029516,2.54126496432448,2.54126496432448,2.54126496432448,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,6,6,7.81473267537444,7.81473267537444,9,9,9,9.47430819382507,9.47430819382507,9.47430819382507,10.0382570919996,10.0382570919996,11,11,11,11.7753205446988,11.7753205446988,10.15389041184,10.15389041184,10.15389041184,10,10,10,9.14262492236845,9.14262492236845,10,10,10,10,10,10,9.78749372169478,9.78749372169478,8.06673236413109,8.06673236413109,8.06673236413109,7.3316992475255,7.3316992475255,7.3316992475255,6,6,6,6.8216660843711,6.8216660843711,6,6,6,5.26327658050407,5.26327658050407,5.26327658050407,null,null,null,null,null,null,6,6,6.02631543710439,6.02631543710439,6.02631543710439,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.641811581311782,1,1.02289636619919,2,2,2,2.73994663395358,3,3.31772658401398,3.31772658401398,4,4.97751974538465,5,5,5.72119658220509,5.00000000000003,5,5,5.99799513703753,5.53250516942956,5.53250516942956,5.9593057230714,6,6,5.98930140145239,5,5,5,5,5.76022644416091,6,6,6,6,6,6,6,6,6,6.8981352189007,6.67247761313223,6.67247761313223,7,7,6,6,6.85665986896475,6.85665986896475,6,6,6,6,6.00000000000003,6.00000000000003,7.21365161864574,6.24020701152483,6.24020701152483,2.20804271264072,2.20804271264072,0,0,0,7.83108685594491,7.83108685594491,5.09483691237124,5.09483691237124,0,0,3.51438946977291,3.51438946977291,8.00000000000001,8.00000000000001,8.90394187317429,8.90394187317429,10.6509027368687,10.6509027368687,10.6509027368687,11.1254973754001,11.1254973754001,11,11,9.81469492029517,9.81469492029517,2.5412649643246,2.5412649643246,2.5412649643246,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6.09472533596498,6.09472533596498,6.09472533596498,7.40736633768724,7.40736633768724,9,9,9,9,9,9,10,10,11,11,11,11,11,11,11,11,9.00000000000002,9.00000000000002,9.00000000000002,10,10,9.99999999999997,9.99999999999997,9.99999999999997,9.49329579968713,9.49329579968713,9.49329579968713,9,9,8.99999999999996,8.99999999999996,8.99999999999996,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.641811581311782,1,1.02289636619919,2,1.99999999999998,1.99999999999998,2.73994663395357,3,3.31772658401398,3.31772658401398,4,4.97751974538465,5,5,5.72119658220509,5.87493359383498,4.99999999999998,4.99999999999998,5.99799513703757,5,5,5.9593057230714,6,6,5.98930140145239,5,5,5,5,4.99999999999997,6,6,6.00000000000004,6.00000000000004,6.00000000000001,6,6,6,6,6.89813521890074,6.67247761313221,6.67247761313221,7.00000000000002,7.00000000000002,5.99999999999996,5.99999999999996,6.85665986896478,6.85665986896478,6,6,6,6,6.83802972671547,6.83802972671547,7,6.24020701152485,6.24020701152485,3.48321708505627,3.48321708505627,-2.32128529885151e-13,-2.32128529885151e-13,-2.32128529885151e-13,7.66217371188986,7.66217371188986,5.09483691237124,5.09483691237124,0,0,5.25719473488638,5.25719473488638,8.27783350512357,8.27783350512357,9.45197093658712,9.45197093658712,11.6509027368687,11.6509027368687,11.6509027368687,11,11,11.8773755514953,11.8773755514953,10.2097966135301,10.2097966135301,5.61650598572974,5.61650598572974,5.61650598572974,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6.00000000000002,6.00000000000002,6.00000000000002,8.00000000000002,8.00000000000002,9,9,9,9,9,9,10,10,11,11,11,10.7753205446988,10.7753205446988,10.1538904118401,10.1538904118401,10.1538904118401,9.48561792971138,9.48561792971138,9.48561792971138,10,10,9.18347156243116,9.18347156243116,9.18347156243116,9.00000000000004,9.00000000000004,9.00000000000004,9.00000000000004,9.00000000000004,8.06673236413109,8.06673236413109,8.06673236413109,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5.99999999999999,5.99999999999999,5.99999999999999,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.641811581311782,1,1.02289636619919,2,2.48121958162126,2.48121958162126,3,3,3.31772658401401,3.31772658401401,4,4.97751974538465,5,5,5.72119658220506,6,5.44940812546679,5.44940812546679,5,5.00000000000002,5.00000000000002,5.9593057230714,6,6,5.98930140145239,5,5,5,5,5.76022644416094,5.99999999999998,5.99999999999998,5.00000000000004,5.00000000000004,5.72118561572871,6.00000000000002,6.00000000000002,6,6,6,6.99999999999997,6.99999999999997,6.52861600143874,6.52861600143874,6.99999999999997,6.99999999999997,6.14334013103525,6.14334013103525,6,6,6.00000000000004,6.00000000000004,6.16197027328452,6.16197027328452,7,6.00000000000001,6.00000000000001,3.48321708505633,3.48321708505633,5.78215686223856,5.78215686223856,5.78215686223856,6.83108685594491,6.83108685594491,5.09483691237123,5.09483691237123,0,0,6.25719473488649,6.25719473488649,9.72216649487637,9.72216649487637,9.90394187317425,9.90394187317425,10.6509027368687,10.6509027368687,10.6509027368687,11.8745026245999,11.8745026245999,11.8773755514953,11.8773755514953,10.2097966135301,10.2097966135301,6.92475897859465,6.92475897859465,6.92475897859465,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5.52637332017507,5.52637332017507,5.52637332017507,7.40736633768723,7.40736633768723,9,9,9,9,9,9,10,10,10,10,10,10,10,9.00000000000001,9.00000000000001,9.00000000000001,9,9,9,10,10,9.18347156243116,9.18347156243116,9.18347156243116,8,8,8,8.00000000000001,8.00000000000001,8,8,8,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.19676826012539,6.19676826012539,6.19676826012539,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.641811581311782,1,1.02289636619919,2,2.48121958162126,2.48121958162126,3,3.01870300224884,4,4,4,4.97751974538465,5,5,5,6,5.44940812546679,5.44940812546679,5,5.53250516942959,5.53250516942959,5.9593057230714,6,6,5.98930140145239,5,5,5,5,5.76022644416094,5.60985036461292,5.60985036461292,5.95625375235959,5.95625375235959,5.72118561572871,6.42262937974089,6.42262937974089,6,6,6,6.32752238686778,6.32752238686778,6,6,6.29496992677115,6.29496992677115,6,6,6.01658797025148,6.01658797025148,7,7,5.16197027328456,5.16197027328456,7,6.24020701152484,6.24020701152484,5,5,6,6,6,6.66217371188983,6.66217371188983,5,5,0,0,8,8,9.72216649487637,9.72216649487637,9.45197093658714,9.45197093658714,11,11,11,11.8745026245999,11.8745026245999,11.8773755514953,11.8773755514953,10.2097966135301,10.2097966135301,5.92475897859469,5.92475897859469,5.92475897859469,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4.52637332017511,4.52637332017511,4.52637332017511,7.81473267537444,7.81473267537444,9,9,9,9,9,9,10,10,10.3781158426671,10.3781158426671,10.3781158426671,10.7753205446988,10.7753205446988,9.15389041184002,9.15389041184002,9.15389041184002,9,9,9,10,10,9.18347156243116,9.18347156243116,9.18347156243116,8,8,8,8.21250627830523,8.21250627830523,8,8,8,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.641811581311782,1,1.02289636619919,2,2.48121958162126,2.48121958162126,3.00000000000006,4,4,4,4,4.97751974538465,5,5,5,5.99999999999992,5.44940812546675,5.44940812546675,5,5.53250516942958,5.53250516942958,5,6,6,5.98930140145239,5.00000000000005,5.00000000000005,5.15380012359845,5.15380012359845,5.99999999999994,5.39014963538712,5.39014963538712,6,6,6,6,6,6.14823099319097,6.14823099319097,7,6.32752238686777,6.32752238686777,6,6,6,6,6.00000000000007,6.00000000000007,6,6,6.00000000000001,6.00000000000001,5.99999999999993,5.99999999999993,7.57269676270845,6.24020701152492,6.24020701152492,6.00000000000002,6.00000000000002,6.00000000000016,6.00000000000016,6.00000000000016,5.83108685594491,5.83108685594491,5.9051630876287,5.9051630876287,1.39726903171462e-15,1.39726903171462e-15,7.99999999999994,7.99999999999994,10,10,10,10,11,11,11,11,11,11.8773755514952,11.8773755514952,10.2097966135301,10.2097966135301,3.15777095005407,3.15777095005407,3.15777095005407,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5.71582399210483,5.71582399210483,5.71582399210483,6.8147326753744,6.8147326753744,8.0694762396695,8.0694762396695,8.0694762396695,8.99999999999992,8.99999999999992,8.99999999999992,9.99999999999992,9.99999999999992,10,10,10,10.7753205446988,10.7753205446988,8.15389041184002,8.15389041184002,8.15389041184002,8.48561792971136,8.48561792971136,8.48561792971136,9.14262492236852,9.14262492236852,9.18347156243115,9.18347156243115,9.18347156243115,8,8,8,8.7874937216947,8.7874937216947,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0.641811581311782,1,1.02289636619919,2,2.48121958162126,2.48121958162126,3.73994663395358,4,4,4,4,4.97751974538465,5,5,5,5,5,5,5,5.46749483057041,5.46749483057041,5.0406942769286,6,6,5.98930140145239,5.57068737388997,5.57068737388997,6,6,5.23977355583906,6,6,6,6,6,6,6,7,7,7,6.32752238686778,6.32752238686778,6,6,6,6,6.85665986896475,6.85665986896475,6.01658797025148,6.01658797025148,6.08520513501017,6.08520513501017,5.16197027328456,5.16197027328456,7,7.24020701152483,7.24020701152483,6.24160854252813,6.24160854252813,8,8,8,5.83108685594491,5.83108685594491,5.09483691237124,5.09483691237124,0.0174024897416115,0.0174024897416115,7.25719473488642,7.25719473488642,10,10,10,10,11,11,11,11,11,11.1226244485047,11.1226244485047,10.2097966135301,10.2097966135301,0.616505985729791,0.616505985729791,0.616505985729791,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2.81054932807004,2.81054932807004,2.81054932807004,6.40736633768722,6.40736633768722,8.93052376033057,8.93052376033057,8.93052376033057,8,8,8,9,9,10,10,10,10.7753205446988,10.7753205446988,8.15389041184002,8.15389041184002,8.15389041184002,8.48561792971136,8.48561792971136,8.48561792971136,10,10,9,9,9,8,8,8,7.78749372169478,7.78749372169478,6.93326763586891,6.93326763586891,6.93326763586891,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.641811581311782,1,1.02289636619919,2,2.48121958162126,2.48121958162126,3,4,4,4,4,4,5,5,5,5,5,5,5,5.46749483057041,5.46749483057041,5.0406942769286,6,6,6,6,6,6,6,5.23977355583906,6,6,6,6,6,6,6,7,7,7,6,6,5,5,6,6,6,6,6,6,6.91479486498983,6.91479486498983,6.16197027328456,6.16197027328456,7.78634838135425,7.24020701152484,7.24020701152484,7.75839145747187,7.75839145747187,7.4356862755229,7.4356862755229,7.4356862755229,6,6,6,6,0.0261037346124172,0.0261037346124172,8.12859736744321,8.12859736744321,9.27783350512363,9.27783350512363,10,10,11,11,11,11,11,11.1226244485047,11.1226244485047,9.81469492029515,9.81469492029515,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5.81473267537444,5.81473267537444,8,8,8,9,9,9,9,9,9.62188415733293,9.62188415733293,9.62188415733293,9.77532054469875,9.77532054469875,8.15389041184002,8.15389041184002,8.15389041184002,8.48561792971136,8.48561792971136,8.48561792971136,10,10,8.18347156243116,8.18347156243116,8.18347156243116,8,8,8,6.78749372169478,6.78749372169478,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.822819648039127,1.02289636619918,1.99999999999994,2.48121958162126,2.48121958162126,3,4,4,4,4,4,5,5,5,5.12506640616502,6,6,5.00200486296247,5.46749483057041,5.46749483057041,5.0406942769286,6,6,6,6,6,6,6,6,5.60985036461296,5.60985036461296,6,6,6,6,6,6.85176900680909,6.85176900680909,6,5.65504477373558,5.65504477373558,5.00000000000004,5.00000000000004,5.99999999999994,5.99999999999994,6,6,7,7,6.08520513501017,6.08520513501017,6.16197027328464,6.16197027328464,6.78634838135425,6.48041402304967,6.48041402304967,7.27517437241562,7.27517437241562,8.21784313776147,8.21784313776147,8.21784313776147,4.16891314405479,4.16891314405479,5.99999999999993,5.99999999999993,0.0261037346124168,0.0261037346124168,9,9,9.27783350512369,9.27783350512369,11,11,11,11,11,11,11,11.8773755514952,11.8773755514952,8.8146949202952,8.8146949202952,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2.44419802612328,2.44419802612328,7.86104752066107,7.86104752066107,7.86104752066107,8.47430819382511,8.47430819382511,8.47430819382511,9,9,9.37811584266704,9.37811584266704,9.37811584266704,9.99999999999998,9.99999999999998,8.15389041184007,8.15389041184007,8.15389041184007,8.4856179297114,8.4856179297114,8.4856179297114,9.00000000000006,9.00000000000006,8.81652843756884,8.81652843756884,8.81652843756884,8.49329579968702,8.49329579968702,8.49329579968702,6.00000000000008,6.00000000000008,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.822819648039127,1,1.24228280601027,2.48121958162126,2.48121958162126,3,4,4,4,4,4,5,5,5,5.12506640616502,6,6,5.00200486296247,5.46749483057041,5.46749483057041,5.0406942769286,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6.85176900680909,6.85176900680909,6,6,6,5.47138399856123,5.47138399856123,5.29496992677115,5.29496992677115,6,6,7,7,6.08520513501017,6.08520513501017,7.16197027328456,7.16197027328456,6.78634838135425,6.48041402304967,6.48041402304967,7.51678291494373,7.51678291494373,8.4356862755229,8.4356862755229,8.4356862755229,0.506739432165263,0.506739432165263,5.09483691237124,5.09483691237124,0.0217531121770143,0.0217531121770143,9,9,10,10,11,11,11,11,11,11,11,11,11,9.41959322706021,9.41959322706021,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2.03683168843609,2.03683168843609,6.93052376033057,6.93052376033057,6.93052376033057,9,9,9,9,9,9,9,9,9.77532054469875,9.77532054469875,8.84610958815998,8.84610958815998,8.84610958815998,9,9,9,9.71475015526311,9.71475015526311,8.81652843756884,8.81652843756884,8.81652843756884,6.98659159937429,6.98659159937429,6.98659159937429,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.822819648039127,1,1.24228280601027,2.48121958162126,2.48121958162126,3,4,4,4,4,4,5,5,5,5.12506640616502,6,6,5.00200486296247,5,5,5.9593057230714,6,6,6,6,6,6,6,6,5.60985036461297,5.60985036461297,5.00000000000011,5.00000000000011,5.7211856157287,5.57737062025916,5.57737062025916,6.85176900680909,6.85176900680909,6.8981352189006,5.32752238686777,5.32752238686777,3.47138399856118,3.47138399856118,4.29496992677123,4.29496992677123,6,6,6.03317594050308,6.03317594050308,6.17041027002055,6.17041027002055,7,7,6.78634838135425,6.24020701152493,6.24020701152493,7.75839145747196,7.75839145747196,9.99999999999991,9.99999999999991,9.99999999999991,0.844565720275459,0.844565720275459,3.18967382474258,3.18967382474258,1.01305186730633,1.01305186730633,10,10,10.2778335051237,10.2778335051237,11.4519709365871,11.4519709365871,11,11,11,11.8745026245998,11.8745026245998,11,11,7.23428814735522,7.23428814735522,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2.44419802612326,2.44419802612326,6,6,6,9,9,9,9,9,9,9,9,9.77532054469866,9.77532054469866,8,8,8,9,9,9,9,9,8.81652843756876,8.81652843756876,8.81652843756876,7,7,7,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.822819648039127,1,1.24228280601027,2.48121958162126,2.48121958162126,3,4,4,4,4,4,5,5,5,5.12506640616502,6,6,5.00200486296251,5,5,5.9593057230714,6,6,6,6,6,6,6,6,6,6,5.95625375235959,5.95625375235959,5.72118561572871,6,6,6.8517690068091,6.8517690068091,6,5.32752238686777,5.32752238686777,3,3,4.99999999999997,4.99999999999997,6,6,6.99999999999996,6.99999999999996,7.91479486498983,7.91479486498983,6.99999999999999,6.99999999999999,6.78634838135425,6.99999999999999,6.99999999999999,8.51678291494376,8.51678291494376,9.21784313776148,9.21784313776148,9.21784313776148,1.01347886433059,1.01347886433059,4.09483691237126,4.09483691237126,2.01305186730625,2.01305186730625,10,10,11,11,11.4519709365871,11.4519709365871,11,11,11,11,11,11,11,6.04898306765051,6.04898306765051,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2.03683168843609,2.03683168843609,6.00000000000004,6.00000000000004,6.00000000000004,9,9,9,9,9,9,9,9,9,9,7.99999999999997,7.99999999999997,7.99999999999997,8.99999999999998,8.99999999999998,8.99999999999998,9,9,8.18347156243111,8.18347156243111,8.18347156243111,6.99999999999996,6.99999999999996,6.99999999999996,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2.57659524607725e-14,0.82281964803912,0.999999999999999,1.24228280601024,2.48121958162126,2.48121958162126,3,4,4,4,4,4,5,5,5,5.12506640616502,6.00000000000004,6.00000000000004,6,5,5,5.9593057230714,6,6,6,6,6,6,6,6.00000000000003,5.99999999999998,5.99999999999998,5.95625375235963,5.95625375235963,5.72118561572867,6,6,7.00000000000004,7.00000000000004,6.10186478109934,5.32752238686777,5.32752238686777,2.99999999999992,2.99999999999992,4.29496992677114,4.29496992677114,6.00000000000003,6.00000000000003,6.03317594050296,6.03317594050296,8.00000000000001,8.00000000000001,6.83802972671543,6.83802972671543,6.78634838135428,6.75979298847506,6.75979298847506,9.27517437241551,9.27517437241551,10,10,10,2.67565257622024,2.67565257622024,4.81032617525765,4.81032617525765,3.00870124487089,3.00870124487089,9.99999999999996,9.99999999999996,10.2778335051236,10.2778335051236,11.4519709365871,11.4519709365871,11,11,11,11.1254973754001,11.1254973754001,10.8773755514953,10.8773755514953,6.04898306765059,6.04898306765059,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2.03683168843609,2.03683168843609,6.93052376033061,6.93052376033061,6.93052376033061,9,9,9,9,9,9,9,9,9,9,7.15389041183999,7.15389041183999,7.15389041183999,8.48561792971142,8.48561792971142,8.48561792971142,8.85737507763163,8.85737507763163,7.00000000000003,7.00000000000003,7.00000000000003,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.641811581311782,1,1.02289636619919,2,2.48121958162126,2.48121958162126,3,4,4,4,4,4,5,5,5,5,5,5,5.99799513703753,5,5,5.9593057230714,6,6,6,6,6,6,6,5.23977355583909,6.39014963538707,6.39014963538707,5.04374624764044,5.04374624764044,6.72118561572868,6,6,6,6,5.10186478109933,5.3275223868678,5.3275223868678,5.05723200287755,5.05723200287755,4.58993985354226,4.58993985354226,5.14334013103525,5.14334013103525,6.01658797025136,6.01658797025136,7.91479486498983,7.91479486498983,7.1619702732846,7.1619702732846,5.99999999999998,9.27937896542551,9.27937896542551,11.5167829149437,11.5167829149437,9.21784313776149,9.21784313776149,9.21784313776149,5.33782628811021,5.33782628811021,1.81032617525749,1.81032617525749,1.01740248974157,1.01740248974157,11,11,12,12,11.4519709365871,11.4519709365871,11,11,11,11.1254973754001,11.1254973754001,10.8773755514953,10.8773755514953,4.23428814735534,4.23428814735534,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2.03683168843609,2.03683168843609,6.06947623966943,6.06947623966943,6.06947623966943,9,9,9,9,9,9,9,9,8.99999999999996,8.99999999999996,7.84610958815995,7.84610958815995,7.84610958815995,7.00000000000004,7.00000000000004,7.00000000000004,6.99999999999997,6.99999999999997,6.18347156243119,6.18347156243119,6.18347156243119,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.641811581311782,0.999999999999967,1.02289636619915,2,2.48121958162126,2.48121958162126,3,4,4,4,4,4,5,5,5,5,5,5,5.99799513703753,4.99999999999998,4.99999999999998,5.9593057230714,6,6,6.00000000000004,6,6,6,6,6,6.39014963538708,6.39014963538708,5.99999999999996,5.99999999999996,6,6,6,6,6,6,6.00000000000004,6.00000000000004,5.52861600143879,5.52861600143879,3.70503007322882,3.70503007322882,5.14334013103529,5.14334013103529,3.06635188100596,3.06635188100596,7.91479486498983,7.91479486498983,8.16197027328459,8.16197027328459,5.57269676270847,9.75979298847512,9.75979298847512,11.7583914574718,11.7583914574718,10.2178431377614,10.2178431377614,10.2178431377614,6.16891314405512,6.16891314405512,0.9051630876288,0.9051630876288,0.0261037346124172,0.0261037346124172,11,11,11,11,11.4519709365871,11.4519709365871,11.6509027368687,11.6509027368687,11.6509027368687,11.1254973754001,11.1254973754001,10.8773755514953,10.8773755514953,3.62938984059045,3.62938984059045,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2.03683168843617,2.03683168843617,6,6,6,9,9,9,9,9,9,9,9,8.00000000000003,8.00000000000003,7.15389041183999,7.15389041183999,7.15389041183999,8.00000000000002,8.00000000000002,8.00000000000002,6.14262492236841,6.14262492236841,7.00000000000004,7.00000000000004,7.00000000000004,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.641811581311782,1.82281964803913,2,2,2.48121958162124,2.48121958162124,2.99999999999999,4,4,4,4,4.00000000000004,5,5,5,5,5,5,5.99799513703753,5.46749483057041,5.46749483057041,5.99999999999996,6,6,5.01069859854765,5.99999999999998,5.99999999999998,6,6,6,6.39014963538707,6.39014963538707,6.9562537523596,6.9562537523596,6.00000000000001,6,6,6,6,6,5,5,5,5,4.4100601464577,4.4100601464577,4.14334013103521,4.14334013103521,2.06635188100592,2.06635188100592,7.82958972997966,7.82958972997966,7.32394054656914,7.32394054656914,6.35904514406279,10.7597929884752,10.7597929884752,12.7583914574719,12.7583914574719,11,11,11,5.50673943216533,5.50673943216533,0,0,0.0261037346125773,0.0261037346125773,10.1285973674432,10.1285973674432,12,12,12,12,11.6509027368687,11.6509027368687,11.6509027368687,11.1254973754001,11.1254973754001,9.75475110299059,9.75475110299059,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,6,6,9,9,9,9,9,8.99999999999998,8.99999999999998,8.99999999999998,7.22467945530124,7.22467945530124,7.84610958815999,7.84610958815999,7.84610958815999,7.51438207028864,7.51438207028864,7.51438207028864,7,7,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1.92550990573975e-14,0.641811581311768,1.82281964803913,2,2,1.99999999999998,1.99999999999998,2.73994663395357,4,4,4,3.99999999999997,4.97751974538465,5,5,5,5,5,5,5.99799513703753,5.46749483057041,5.46749483057041,5.0406942769286,6,6,6,5.42931262611001,5.42931262611001,6,6,6.00000000000003,6.39014963538709,6.39014963538709,7.00000000000004,7.00000000000004,6.2788143842713,6,6,6.00000000000004,6.00000000000004,6,4.99999999999999,4.99999999999999,5.05723200287753,5.05723200287753,4.41006014645771,4.41006014645771,3.14334013103529,3.14334013103529,2.06635188100592,2.06635188100592,7.82958972997966,7.82958972997966,8.16197027328456,8.16197027328456,7.35904514406274,11.5195859769503,11.5195859769503,12.7583914574719,12.7583914574719,11.2178431377615,11.2178431377615,11.2178431377615,7.16891314405509,7.16891314405509,0,0,4.01305186730613,4.01305186730613,9.25719473488642,9.25719473488642,12,12,12,12,12,12,12,11.1254973754001,11.1254973754001,9.63212665448592,9.63212665448592,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5.93052376033057,5.93052376033057,5.93052376033057,9.00000000000002,9.00000000000002,9.00000000000002,8.9617429080004,8.9617429080004,8.37811584266711,8.37811584266711,8.37811584266711,6.99999999999996,6.99999999999996,8,8,8,7.51438207028864,7.51438207028864,7.51438207028864,7.00000000000004,7.00000000000004,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5.39615649713691e-14,5.39615649713691e-14,0.479630845906441,1,1.82281964803913,2,2,2.48121958162126,2.48121958162126,3,4,4,4,4.63725388306548,5,5,5,5,5,5,5,5.99799513703753,5.46749483057041,5.46749483057041,5.0406942769286,6,6,6,6,6,6,6,5.23977355583905,6,6,6.0437462476404,6.0437462476404,6.27881438427125,6,6,5.00000000000016,5.00000000000016,5.89813521890058,5.32752238686751,5.32752238686751,5,5,4.11509021968627,4.11509021968627,2.14334013103509,2.14334013103509,2.06635188100592,2.06635188100592,7.82958972997949,7.82958972997949,8.16197027328471,8.16197027328471,7.57269676270857,11.5195859769505,11.5195859769505,12.7583914574719,12.7583914574719,11.2178431377616,11.2178431377616,11.2178431377616,7.16891314405514,7.16891314405514,4.56874904754258e-14,4.56874904754258e-14,6.0043506224354,6.0043506224354,9.25719473488642,9.25719473488642,12,12,12,12,12,12,12,11.1254973754002,11.1254973754002,9.01900441196207,9.01900441196207,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5.8610475206605,5.8610475206605,5.8610475206605,8.47430819382498,8.47430819382498,8.47430819382498,8.96174290800025,8.96174290800025,7.37811584266701,7.37811584266701,7.37811584266701,7.99999999999984,7.99999999999984,8,8,8,7.51438207028856,7.51438207028856,7.51438207028856,6.00000000000014,6.00000000000014,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.336036067336011,0.336036067336011,1,1,1.82281964803913,2,2,2.48121958162126,2.48121958162126,3,4,4.00000000000003,4.00000000000003,4.63725388306546,5,5,5,5,5,5,5,5.99799513703753,5.46749483057046,5.46749483057046,5.04069427692868,6,6,6,6,6,6.00000000000007,6.00000000000007,5.23977355583912,5.99999999999995,5.99999999999995,6.00000000000008,6.00000000000008,6,5.99999999999995,5.99999999999995,6,6,5.1018647810993,3.6550447737355,3.6550447737355,4.99999999999991,4.99999999999991,2.41006014645767,2.41006014645767,1.14334013103516,1.14334013103516,2.03317594050288,2.03317594050288,6.74438459496948,6.74438459496948,9.16197027328462,9.16197027328462,8.00000000000008,12.2793789654254,12.2793789654254,12.7583914574718,12.7583914574718,12,12,12,7.50673943216534,7.50673943216534,0.28451073711387,0.28451073711387,6.00870124487072,6.00870124487072,9.25719473488649,9.25719473488649,12,12,12,12,12,12,12,11.9999999999999,11.9999999999999,7.01900441196218,7.01900441196218,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.86104752066099,1.86104752066099,1.86104752066099,7.94861638765014,7.94861638765014,7.94861638765014,8,8,7,7,7,7,7,8.00000000000007,8.00000000000007,8.00000000000007,7.02876414057728,7.02876414057728,7.02876414057728,6.85737507763157,6.85737507763157,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.336036067336011,0.336036067336011,1,1,1.82281964803913,2,2,2.48121958162126,2.48121958162126,3,4,4.31772658401398,4.31772658401398,4.36274611693452,4.97751974538465,5,5,5,5,5,5,5.99799513703753,6,6,6,6,6,6,6,6,6.84619987640162,6.84619987640162,6,5.39014963538708,5.39014963538708,6.95625375235959,6.95625375235959,6,5.42262937974089,5.42262937974089,6,6,5.1018647810993,2.98256716060332,2.98256716060332,3.94276799712247,3.94276799712247,2.11509021968655,2.11509021968655,0,0,1.03317594050296,1.03317594050296,6.65917945995932,6.65917945995932,10,10,9,11.5195859769503,11.5195859769503,12.2416085425281,12.2416085425281,12,12,12,8.50673943216526,8.50673943216526,2.28451073711371,2.28451073711371,5.01305186730621,5.01305186730621,10.1285973674432,10.1285973674432,12,12,12,12,12,12,12,11.1254973754001,11.1254973754001,4.38687775747649,4.38687775747649,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7.94861638765014,7.94861638765014,7.94861638765014,8,8,7,7,7,7,7,8.84610958815998,8.84610958815998,8.84610958815998,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.336036067336011,0.336036067336011,1,1.64181158131178,2,2,2,2.48121958162126,2.48121958162126,3,3.01870300224884,4,4,4,4,4.33875708250987,4.33875708250987,5,5,5,5,5.99799513703745,6,6,6,5.47363834360305,5.47363834360305,6,6.57068737388997,6.57068737388997,6.99999999999992,6.99999999999992,6.23977355583903,5.39014963538709,5.39014963538709,5.04374624764048,5.04374624764048,6,5.42262937974093,5.42262937974093,5.14823099319097,5.14823099319097,5.1018647810993,3.31008954747113,3.31008954747113,2.99999999999996,2.99999999999996,0.705030073228793,0.705030073228793,0,0,0.0497639107544404,0.0497639107544404,5.74438459496941,5.74438459496941,8,8,9.78634838135427,11.5195859769503,11.5195859769503,12.7583914574718,12.7583914574718,12.2178431377614,12.2178431377614,12.2178431377614,10.1689131440551,10.1689131440551,3.28451073711379,3.28451073711379,5.01305186730629,5.01305186730629,9.99999999999999,9.99999999999999,12,12,12,12,12.3490972631313,12.3490972631313,12.3490972631313,11.1254973754001,11.1254973754001,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6.94861638765013,6.94861638765013,6.94861638765013,7.00000000000008,7.00000000000008,6.37811584266704,6.37811584266704,6.37811584266704,7.77532054469871,7.77532054469871,7.99999999999993,7.99999999999993,7.99999999999993,7.51438207028852,7.51438207028852,7.51438207028852,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.336036067336011,0.336036067336011,1,1.64181158131178,2,2,2,2.48121958162126,2.48121958162126,3,3.01870300224884,4,4,4,4,5,5,5,5,5,5,5,6,6,6,5.47363834360306,5.47363834360306,6,6.57068737388997,6.57068737388997,6,6,6,5.60985036461292,5.60985036461292,6,6,6,6,6,6,6,5.1018647810993,3.65504477373555,3.65504477373555,2.52861600143877,2.52861600143877,0,0,0,0,0.0331759405029611,0.0331759405029611,4.74438459496949,4.74438459496949,8,8,10,11.5195859769503,11.5195859769503,12.2416085425281,12.2416085425281,12.2178431377614,12.2178431377614,12.2178431377614,10.1689131440551,10.1689131440551,4.28451073711371,4.28451073711371,6.01305186730621,6.01305186730621,9.87140263255679,9.87140263255679,12,12,12,12,12.3490972631313,12.3490972631313,12.3490972631313,12,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6.94861638765014,6.94861638765014,6.94861638765014,7.9617429080004,7.9617429080004,6,6,6,7.22467945530125,7.22467945530125,7.15389041184002,7.15389041184002,7.15389041184002,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.336036067336011,0.336036067336011,1,1.64181158131173,1.99999999999999,2,2,2.48121958162123,2.48121958162123,2.99999999999992,3.01870300224884,4,4,4.00000000000005,4,5,5,5.00000000000006,6,6,6,6,6,6,6,5.47363834360305,5.47363834360305,6,6,6,6.15380012359837,6.15380012359837,6.23977355583897,5.39014963538709,5.39014963538709,5,5,5.00000000000006,5.00000000000008,5.00000000000008,5.00000000000001,5.00000000000001,5.00000000000001,3.32752238686764,3.32752238686764,2.99999999999996,2.99999999999996,8.02913291408859e-14,8.02913291408859e-14,0,0,0,0,0,0,8.00000000000005,8.00000000000005,10.7863483813542,11.7597929884751,11.7597929884751,11.7583914574719,11.7583914574719,12.2178431377614,12.2178431377614,12.2178431377614,9.50673943216512,9.50673943216512,8.90516308762876,8.90516308762876,9.00435062243549,9.00435062243549,9.87140263255679,9.87140263255679,12.2778335051236,12.2778335051236,13,13,13,13,13,10.2509947508001,10.2509947508001,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.905274664035022,0.905274664035022,0.905274664035022,0.407366337687251,0.407366337687251,0,0,0,6.9486163876501,6.9486163876501,6.9486163876501,6.96174290800041,6.96174290800041,6.62188415733293,6.62188415733293,6.62188415733293,7,7,7.15389041183994,7.15389041183994,7.15389041183994,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.336036067336011,0.336036067336011,1,1,1.82281964803913,2,2,2,2,2,3.01870300224884,4,4,4.63725388306548,4.02248025461535,5,5,5.72119658220509,6,6,6,6,6,6,6,5.47363834360305,5.47363834360305,6,6,6,6,6,5.23977355583906,5.60985036461292,5.60985036461292,5,5,5.72118561572871,6,6,5.14823099319091,5.14823099319091,5.1018647810993,1.65504477373555,1.65504477373555,2.47138399856123,2.47138399856123,1,1,0,0,0,0,0,0,8.67605945343089,8.67605945343089,10.7863483813542,11,11,11.7583914574719,11.7583914574719,12,12,12,7.67565257622035,7.67565257622035,8.90516308762876,8.90516308762876,10,10,9.87140263255679,9.87140263255679,11.5556670102473,11.5556670102473,13,13,13,13,13,9.37649212620019,9.37649212620019,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.905274664035022,0.905274664035022,0.905274664035022,0.814732675374436,0.814732675374436,0,0,0,6.47430819382507,6.47430819382507,6.47430819382507,7,7,6.62188415733293,6.62188415733293,6.62188415733293,7,7,6.15389041184002,6.15389041184002,6.15389041184002,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.336036067336024,0.336036067336024,1.00000000000004,1.00000000000001,1.82281964803916,2.00000000000004,2.00000000000003,2,2,2,2.03740600449768,4.00000000000003,4.00000000000003,4.63725388306548,5,4.99999999999999,4.99999999999999,5.72119658220511,6.00000000000004,6.00000000000004,6.00000000000004,6.00000000000004,5.46749483057041,5.46749483057041,6,5.47363834360306,5.47363834360306,6,6,6,7.00000000000004,7.00000000000004,6.23977355583907,5.60985036461291,5.60985036461291,3.99999999999996,3.99999999999996,4.72118561572873,5,5,5.14823099319088,5.14823099319088,4.20372956219863,0.655044773735576,0.655044773735576,1.94276799712255,1.94276799712255,1.58993985354234,1.58993985354234,-9.18002987809498e-14,-9.18002987809498e-14,-1.97398647404144e-13,-1.97398647404144e-13,0,0,7.67605945343094,7.67605945343094,10,11,11,11.7583914574719,11.7583914574719,12,12,12,7.67565257622029,7.67565257622029,9.71548926288634,9.71548926288634,10.9999999999999,10.9999999999999,9.99999999999996,9.99999999999996,12.2778335051237,12.2778335051237,13,13,13,13,13,7.37649212620026,7.37649212620026,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.905274664034949,0.905274664034949,0.905274664034949,0,0,0,0,0,6.47430819382507,6.47430819382507,6.47430819382507,7,7,5.99999999999998,5.99999999999998,5.99999999999998,7.00000000000003,7.00000000000003,6.15389041184002,6.15389041184002,6.15389041184002,6.00000000000002,6.00000000000002,6.00000000000002,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8.46214412913738e-15,2.66552733276007e-14,2.66552733276007e-14,0,0.641811581311756,0.999999999999993,1,1.24228280601026,1.99999999999996,1.99999999999996,1.99999999999999,2.01870300224884,3.31772658401397,3.31772658401397,4.63725388306547,5,5.33875708250982,5.33875708250982,5.27880341779491,5,5,5,5,5.46749483057041,5.46749483057041,6,5.47363834360306,5.47363834360306,6,6,6,6,6,6,6,6,4.95625375235963,4.95625375235963,4,5.00000000000002,5.00000000000002,5.8517690068091,5.8517690068091,3.2037295621986,0,0,0,0,0.589939853542289,0.589939853542289,2.28668026207054,2.28668026207054,4.91706014874264,4.91706014874264,0,0,6.35211890686174,6.35211890686174,9.78634838135424,10,10,10.7583914574719,10.7583914574719,12.7821568622385,12.7821568622385,12.7821568622385,9.33782628811017,9.33782628811017,8.52581543814378,8.52581543814378,12.9912987551292,12.9912987551292,10.8714026325568,10.8714026325568,11.2778335051237,11.2778335051237,13,13,12.3490972631313,12.3490972631313,12.3490972631313,5.50198950160017,5.50198950160017,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2.71582399210507,2.71582399210507,2.71582399210507,0,0,0,0,0,6.47430819382505,6.47430819382505,6.47430819382505,7,7,6.37811584266707,6.37811584266707,6.37811584266707,6.22467945530125,6.22467945530125,6.15389041184002,6.15389041184002,6.15389041184002,5.48561792971136,5.48561792971136,5.48561792971136,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.210786001917824,0.663963932664016,0.663963932664016,0,0,0.822819648039127,1,1,1,1,1.73994663395358,2.01870300224884,3.00000000000003,3.00000000000003,4.27450776613099,5.00000000000004,5.33875708250982,5.33875708250982,5.27880341779488,5,4.99999999999998,4.99999999999998,4.99999999999996,5.46749483057039,5.46749483057039,6,5.47363834360303,5.47363834360303,6,6,6,6,6,5.99999999999997,5.99999999999998,5.99999999999998,5.91250750471922,5.91250750471922,3.99999999999996,5.42262937974088,5.42262937974088,6,6,3.30559434329789,-5.39941213758855e-14,-5.39941213758855e-14,0,0,0.29496992677115,0.29496992677115,3.28668026207047,3.28668026207047,5.90047217849108,5.90047217849108,-1.02618503093944e-14,-1.02618503093944e-14,5.35211890686196,5.35211890686196,9.57269676270857,10.7597929884752,10.7597929884752,11,11,12.7821568622386,12.7821568622386,12.7821568622386,9.16891314405508,9.16891314405508,7.62065235051505,7.62065235051505,12.9956493775646,12.9956493775646,10.8714026325568,10.8714026325568,12,12,13,13,11.6981945262626,11.6981945262626,11.6981945262626,3.62748687700039,3.62748687700039,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2.71582399210518,2.71582399210518,2.71582399210518,0,0,-1.12069484271193e-13,-1.12069484271193e-13,-1.12069484271193e-13,5.94861638765014,5.94861638765014,5.94861638765014,7,7,6.37811584266708,6.37811584266708,6.37811584266708,6.22467945530125,6.22467945530125,6.15389041184002,6.15389041184002,6.15389041184002,5.48561792971136,5.48561792971136,5.48561792971136,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.822819648039127,0.999999999999999,0.99999999999996,0.999999999999979,0.999999999999979,1.73994663395358,2,2.31772658401398,2.31772658401398,3.63725388306548,4,5.33875708250978,5.33875708250978,5.99999999999999,5,5.55059187453321,5.55059187453321,6,6,6,5.99999999999996,6,6,6,6,6,6,6,6.76022644416094,6.39014963538706,6.39014963538706,5.00000000000004,5.00000000000004,5.00000000000001,5.57737062025911,5.57737062025911,5.99999999999999,5.99999999999999,3.30559434329785,1.34495522626452,1.34495522626452,8.25889459311019e-14,8.25889459311019e-14,0.294969926771174,0.294969926771174,4.14334013103533,4.14334013103533,6.93364811899408,6.93364811899408,0.255615405030509,0.255615405030509,0.838029726715411,0.838029726715411,7.78634838135423,9.75979298847516,9.75979298847516,10.7583914574718,10.7583914574718,11.7821568622385,11.7821568622385,11.7821568622385,9.33782628811021,9.33782628811021,7.71548926288629,7.71548926288629,13.9912987551292,13.9912987551292,11,11,12,12,13,13,11.3490972631312,11.3490972631312,11.3490972631312,1.7529842524004,1.7529842524004,3.52228245926377e-14,3.52228245926377e-14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2.79157128099179,2.79157128099179,2.79157128099179,5.94861638765014,5.94861638765014,5.94861638765014,6.96174290800041,6.96174290800041,6.00000000000002,6.00000000000002,6.00000000000002,6.22467945530125,6.22467945530125,6.15389041184002,6.15389041184002,6.15389041184002,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.822819648039127,0.977103633800815,4.01456645704494e-14,0.481219581621285,0.481219581621285,1.73994663395358,1.99999999999996,2.31772658401397,2.31772658401397,3.63725388306544,4,4.33875708250982,4.33875708250982,5.72119658220506,5.00000000000004,5.55059187453323,5.55059187453323,6,6,6,5.0406942769286,6,6,6,5.99999999999998,5.99999999999998,6,6,6.76022644416091,6,6,6,6,5.2788143842713,5.57737062025915,5.57737062025915,5.85176900680906,5.85176900680906,2.30559434329785,3.01743283939673,3.01743283939673,2.05723200287761,2.05723200287761,0.884909780313503,0.884909780313503,6.00000000000004,6.00000000000004,6.93364811899408,6.93364811899408,0.255615405030506,0.255615405030506,0,0,7.35904514406266,9.75979298847516,9.75979298847516,10,10,11.7821568622385,11.7821568622385,11.7821568622385,10.1689131440551,10.1689131440551,7.71548926288633,7.71548926288633,13.9912987551292,13.9912987551292,11.8714026325568,11.8714026325568,12,12,12.4519709365871,12.4519709365871,10.0472917893939,10.0472917893939,10.0472917893939,2.37649212620018,2.37649212620018,0.877375551495334,0.877375551495334,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4.65261880165267,4.65261880165267,4.65261880165267,5.94861638765016,5.94861638765016,5.94861638765016,7,7,6.37811584266705,6.37811584266705,6.37811584266705,6.22467945530124,6.22467945530124,6.15389041184001,6.15389041184001,6.15389041184001,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.822819648039028,0.999999999999882,1,1,1,1.73994663395349,1.01870300224884,2,2,2.63725388306548,3.97751974538465,4.33875708250982,4.33875708250982,5,5.99999999999988,5.99999999999988,5.99999999999988,6,5.99999999999994,5.99999999999994,5.04069427692859,6,6,5.98930140145239,5.57068737388995,5.57068737388995,6,6,6,6.00000000000012,6.00000000000012,6.00000000000011,6.00000000000011,5.27881438427147,6.42262937974096,6.42262937974096,5.0000000000001,5.0000000000001,1.40745912439729,4.36238806566121,4.36238806566121,4.11446400575506,4.11446400575506,2.17987970708489,2.17987970708489,7,7,6.91706014874248,6.91706014874248,0.17041027002057,0.17041027002057,1.95072127849943e-14,1.95072127849943e-14,5.14539352541647,9.51958597695018,9.51958597695018,9.99999999999991,9.99999999999991,11.7821568622385,11.7821568622385,11.7821568622385,10.1689131440552,10.1689131440552,8.71548926288642,8.71548926288642,13,13,11.0000000000001,11.0000000000001,12.9999999999999,12.9999999999999,12.0000000000001,12.0000000000001,9.39638905252521,9.39638905252521,9.39638905252521,2.12549737539994,2.12549737539994,1.7547511029907,1.7547511029907,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6.474308193825,6.474308193825,6.474308193825,6.9617429080004,6.9617429080004,6,6,6,6,6,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5.15319049215368e-14,1.42260459565885e-14,0.0228963661991861,1,1,1,1,1.01870300224884,2,2,2.63725388306554,3.97751974538466,4.33875708250987,4.33875708250987,4.99999999999994,4.99999999999992,4.99999999999996,4.99999999999996,5.99799513703753,5.53250516942959,5.53250516942959,5,6,6,6,5.42931262611008,5.42931262611008,6,6,6,7,7,6.95625375235952,6.95625375235952,6.72118561572867,6.99999999999995,6.99999999999995,5.85176900680909,5.85176900680909,2.30559434329782,5.03486567879341,5.03486567879341,4.11446400575506,4.11446400575506,4.58993985354231,4.58993985354231,6.99999999999993,6.99999999999993,5.95023608924564,5.95023608924564,2.08520513501025,2.08520513501025,0.161970273284569,0.161970273284569,0.78634838135425,8.27937896542545,8.27937896542545,9.24160854252807,9.24160854252807,11.3464705867157,11.3464705867157,11.3464705867157,10.9999999999999,10.9999999999999,9.81032617525761,9.81032617525761,12.9956493775646,12.9956493775646,11.8714026325567,11.8714026325567,12,12,12.4519709365872,12.4519709365872,9.74548631565643,9.74548631565643,9.74548631565643,1.12549737540014,1.12549737540014,2.63212665448597,2.63212665448597,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.45371412025882e-13,1.45371412025882e-13,1.45371412025882e-13,0,0,1.49425979028233e-13,1.49425979028233e-13,1.49425979028233e-13,5.94861638765018,5.94861638765018,5.94861638765018,6.9617429080004,6.9617429080004,6,6,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.641811581311782,0.177180351960873,0.0228963661991861,1,1,1,1,1.01870300224884,2,2,3.27450776613097,4,5,5,4.27880341779491,4,4.55059187453321,4.55059187453321,5.99799513703753,5.53250516942959,5.53250516942959,5,6,6,6,6,6,6,6,6,7,7,6.04374624764041,6.04374624764041,6.2788143842713,6.42262937974089,6.42262937974089,5.85176900680909,5.85176900680909,1.40745912439718,5.6899104525289,5.6899104525289,4.11446400575506,4.11446400575506,4.70503007322885,4.70503007322885,6.14334013103525,6.14334013103525,6.95023608924556,6.95023608924556,3.08520513501017,3.08520513501017,0.323940546569111,0.323940546569111,0.78634838135425,7.79896494237582,7.79896494237582,8.48321708505627,8.48321708505627,11.5643137244771,11.5643137244771,11.5643137244771,10.3378262881102,10.3378262881102,10.8103261752575,10.8103261752575,12.9956493775646,12.9956493775646,11.1285973674432,11.1285973674432,12.2778335051236,12.2778335051236,13,13,9.39638905252517,9.39638905252517,9.39638905252517,2.12549737540006,2.12549737540006,3.5095022059812,3.5095022059812,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.81054932807004,1.81054932807004,1.81054932807004,0,0,1.86104752066114,1.86104752066114,1.86104752066114,6.47430819382507,6.47430819382507,6.47430819382507,6.9617429080004,6.9617429080004,6,6,6,6,6,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0228963661991843,0.999999999999939,1,1,1,2,2,2,3.27450776613097,4,4.33875708250979,4.33875708250979,4.27880341779488,3.99999999999999,4.55059187453318,4.55059187453318,5.99799513703745,5.99999999999996,5.99999999999996,6,6,6,6,6,6,6,6,6,6.60985036461288,6.60985036461288,6,6,6.00000000000006,6.00000000000005,6.00000000000005,5.85176900680901,5.85176900680901,2.30559434329802,6.67247761313223,6.67247761313223,4.05723200287744,4.05723200287744,5.41006014645775,5.41006014645775,2.573360524141,2.573360524141,6.99999999999992,6.99999999999992,7,7,1.48591081985389,1.48591081985389,0,7.31855091932607,7.31855091932607,10,10,11.0000000000001,11.0000000000001,11.0000000000001,10.1689131440549,10.1689131440549,11.8103261752575,11.8103261752575,12.9956493775646,12.9956493775646,11.1285973674432,11.1285973674432,13,13,13.5480290634128,13.5480290634128,9.39638905252509,9.39638905252509,9.39638905252509,3.87450262459994,3.87450262459994,4.38687775747658,4.38687775747658,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3.72209504132198,3.72209504132198,3.72209504132198,5.94861638765017,5.94861638765017,5.94861638765017,6.00000000000007,6.00000000000007,5.99999999999997,5.99999999999997,5.99999999999997,6,6,5.99999999999999,5.99999999999999,5.99999999999999,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.242282806010267,1,1,1,2,2,2,3.27450776613097,4,4,4,4,3.87493359383498,4.10118374906643,4.10118374906643,5,5.46749483057041,5.46749483057041,6,6,6,6,6,6,6,6,6,6,6,6,6,6.72118561572871,6.57737062025911,6.57737062025911,4.85176900680909,4.85176900680909,4,6.67247761313223,6.67247761313223,3,3,6,6,2.573360524141,2.573360524141,6.01658797025148,6.01658797025148,7,7,4.32394054656911,4.32394054656911,0,6.31855091932615,6.31855091932615,10,10,11.7821568622385,11.7821568622385,11.7821568622385,8.16891314405509,8.16891314405509,11.8103261752575,11.8103261752575,13,13,11.1285973674432,11.1285973674432,13,13,12.5480290634129,12.5480290634129,8.39638905252517,8.39638905252517,8.39638905252517,3.87450262459994,3.87450262459994,5.5095022059812,5.5095022059812,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6.4229245814752,6.4229245814752,6.4229245814752,6.92348581600081,6.92348581600081,5.62188415733293,5.62188415733293,5.62188415733293,6,6,5.84610958815998,5.84610958815998,5.84610958815998,5,5,5,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0228963661991861,1,1.00000000000004,1.00000000000004,1.00000000000002,1.01870300224884,2,2,3.27450776613092,3.99999999999992,4,4,4.72119658220509,4,4,4,4.99799513703745,5.46749483057041,5.46749483057041,6,5.52636165639694,5.52636165639694,5.01069859854761,6,6,5.15380012359845,5.15380012359845,6,5.60985036461296,5.60985036461296,6,6,6.72118561572865,6,6,4.99999999999993,4.99999999999993,5.8981352189007,6,6,3.35691999280618,3.35691999280618,5.29496992677096,5.29496992677096,6.00000000000001,6.00000000000001,7.01658797025156,7.01658797025156,8,8,7,7,0.640954855937411,5.55875793085101,5.55875793085101,9,9,11.5643137244771,11.5643137244771,11.5643137244771,8.33782628811016,8.33782628811016,10.7154892628862,10.7154892628862,13.9956493775645,13.9956493775645,11,11,12,12,12,12,8.39638905252522,8.39638905252522,8.39638905252522,4.00000000000008,4.00000000000008,6.00000000000008,6.00000000000008,2.81469492029528,2.81469492029528,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6.47430819382507,6.47430819382507,6.47430819382507,6.92348581600073,6.92348581600073,6.62188415733293,6.62188415733293,6.62188415733293,6.99999999999994,6.99999999999994,6.15389041184008,6.15389041184008,6.15389041184008,6.00000000000008,6.00000000000008,6.00000000000008,6.00000000000008,6.00000000000008,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0228963661991861,1,1.48121958162126,1.48121958162126,1.26005336604642,1.01870300224884,2,2,2.63725388306548,3,4,4,4.72119658220509,4,4,4,4,5.46749483057041,5.46749483057041,6,5.52636165639694,5.52636165639694,5.01069859854761,6,6,6,6,6,6,6,6,6,6,6,6,4.14823099319091,4.14823099319091,5.8981352189007,6,6,3.35691999280618,3.35691999280618,2.88490978031345,2.88490978031345,6.14334013103525,6.14334013103525,8,8,8,8,7,7,2.64095485593725,5.79896494237582,5.79896494237582,9,9,11.7821568622385,11.7821568622385,11.7821568622385,8.16891314405509,8.16891314405509,9.71548926288629,9.71548926288629,13,13,11.1285973674432,11.1285973674432,12,12,12,12,9.04729178939388,9.04729178939388,9.04729178939388,5,5,7,7,4.41959322706021,4.41959322706021,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6.47430819382507,6.47430819382507,6.47430819382507,6,6,6.62188415733293,6.62188415733293,6.62188415733293,6.22467945530125,6.22467945530125,7,7,7,7,7,7,7,7,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.5,6.5,6.5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0228963661991861,1,1.48121958162126,1.48121958162126,1.26005336604636,1,1.31772658401398,1.31772658401398,2.63725388306554,3,3.33875708250984,3.33875708250984,4.72119658220517,4,4.00000000000004,4.00000000000004,4,4.99999999999996,4.99999999999996,5.95930572307147,5.52636165639699,5.52636165639699,5.01069859854761,5.99999999999995,5.99999999999995,7.00000000000008,7.00000000000008,6.23977355583908,5.60985036461293,5.60985036461293,6.00000000000008,6.00000000000008,6.00000000000008,5.57737062025908,5.57737062025908,4.14823099319099,4.14823099319099,4.99999999999994,6,6,3.35691999280613,3.35691999280613,2.88490978031326,2.88490978031326,6.14334013103525,6.14334013103525,8.01658797025156,8.01658797025156,8.08520513501018,8.08520513501018,7.16197027328454,7.16197027328454,4.42730323729137,6.0391719539008,6.0391719539008,9.00000000000004,9.00000000000004,12.5643137244772,12.5643137244772,12.5643137244772,9.16891314405507,9.16891314405507,8.71548926288638,8.71548926288638,13,13,12,12,11.2778335051235,11.2778335051235,12.5480290634129,12.5480290634129,7.39638905252535,7.39638905252535,7.39638905252535,4.87450262459994,4.87450262459994,6.12262444850469,6.12262444850469,5.81469492029504,5.81469492029504,-2.47500425087825e-14,-2.47500425087825e-14,-2.47500425087825e-14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1.30831938800668e-13,-1.30831938800668e-13,4.6526188016529,4.6526188016529,4.6526188016529,6,6,6,6,6,7.00000000000008,7.00000000000008,7.00000000000008,5.99999999999998,5.99999999999998,6.84610958816004,6.84610958816004,6.84610958816004,8.00000000000008,8.00000000000008,8.00000000000008,6.99999999999985,6.99999999999985,5.99999999999992,5.99999999999992,5.99999999999992,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.73672341949595,6.73672341949595,6.73672341949595,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0228963661991861,1,1.48121958162126,1.48121958162126,2,1,1.31772658401398,1.31772658401398,2,2.97751974538465,3,3,3.72119658220509,4,3.44940812546679,3.44940812546679,3.99799513703753,5.46749483057041,5.46749483057041,5.0406942769286,5,5,5.01069859854761,6.57068737388997,6.57068737388997,6,6,6,5.60985036461292,5.60985036461292,5,5,5,6,6,3.14823099319091,3.14823099319091,5.79627043780141,6,6,3.88553599424494,3.88553599424494,5.29496992677115,5.29496992677115,6.14334013103525,6.14334013103525,7.01658797025148,7.01658797025148,8,8,7.32394054656911,7.32394054656911,6,4.24020701152484,4.24020701152484,8.51678291494373,8.51678291494373,11.5643137244771,11.5643137244771,11.5643137244771,9.33782628811018,9.33782628811018,7.62065235051505,7.62065235051505,13,13,12,12,12.2778335051236,12.2778335051236,12.0960581268257,12.0960581268257,5.14187536818163,5.14187536818163,5.14187536818163,4.87450262459994,4.87450262459994,6.2452488970094,6.2452488970094,7.2097966135301,7.2097966135301,0.308252992864896,0.308252992864896,0.308252992864896,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.62946535074887,1.62946535074887,4.06947623966943,4.06947623966943,4.06947623966943,6,6,6,6,6,6,6,6,6.22467945530125,6.22467945530125,6.15389041184002,6.15389041184002,6.15389041184002,7,7,7,8.85737507763156,8.85737507763156,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0228963661991861,1,1.48121958162126,1.48121958162126,2,1.98129699775116,1.31772658401401,1.31772658401401,2.00000000000003,2.97751974538465,3,3,3.72119658220509,4.00000000000003,4,4,4.00000000000004,5.46749483057039,5.46749483057039,5.04069427692864,5.52636165639694,5.52636165639694,5.01069859854765,5.99999999999998,5.99999999999998,6.15380012359837,6.15380012359837,6.23977355583905,5.60985036461288,5.60985036461288,5.04374624764033,5.04374624764033,5.99999999999996,5.99999999999996,5.99999999999996,2.99999999999997,2.99999999999997,5.69440565670212,5.3275223868678,5.3275223868678,4.41415199568372,4.41415199568372,5.99999999999997,5.99999999999997,5.14334013103528,5.14334013103528,7.01658797025152,7.01658797025152,8,8,8.83802972671542,8.83802972671542,6.21365161864579,4.24020701152488,4.24020701152488,7.75839145747182,7.75839145747182,11.3464705867156,11.3464705867156,11.3464705867156,9.50673943216533,9.50673943216533,7.62065235051488,7.62065235051488,13,13,11.8714026325568,11.8714026325568,11,11,11.5480290634128,11.5480290634128,3.84006989444423,3.84006989444423,3.84006989444423,4.62350787379978,4.62350787379978,7.00000000000004,7.00000000000004,7.00000000000004,7.00000000000004,0.924758978594736,0.924758978594736,0.924758978594736,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2.03683168843611,2.03683168843611,5,5,5,6.00000000000002,6.00000000000002,6.00000000000002,5.9617429080004,5.9617429080004,5.99999999999998,5.99999999999998,5.99999999999998,6.77532054469876,6.77532054469876,7.00000000000001,7.00000000000001,7.00000000000001,7,7,7,8.14262492236841,8.14262492236841,7.18347156243116,7.18347156243116,7.18347156243116,5.00000000000004,5.00000000000004,5.00000000000004,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0228963661991861,1,1.48121958162126,1.48121958162126,2,2,2,2,2.63725388306548,3,3,3,3.72119658220509,4.87493359383498,4,4,4.99799513703753,5,5,5.9593057230714,5.526361656397,5.526361656397,5.98930140145239,5.57068737388995,5.57068737388995,6,6,6,4.60985036461292,4.60985036461292,3.08749249528081,3.08749249528081,4.99999999999997,4.99999999999993,4.99999999999993,2.29646198638192,2.29646198638192,5.79627043780141,6,6,4.88553599424495,4.88553599424495,5.2949699267712,5.2949699267712,5.85665986896464,5.85665986896464,7.99999999999988,7.99999999999988,8,8,8.16197027328454,8.16197027328454,7.21365161864587,5.24020701152505,5.24020701152505,6.5167829149438,6.5167829149438,10.5643137244771,10.5643137244771,10.5643137244771,11.1689131440553,11.1689131440553,3.37934764948516,3.37934764948516,12.9956493775646,12.9956493775646,11,11,11.2778335051236,11.2778335051236,11,11,4.14187536818179,4.14187536818179,4.14187536818179,3.74900524919978,3.74900524919978,7.87737555149519,7.87737555149519,7.99999999999995,7.99999999999995,2.15777095005435,2.15777095005435,2.15777095005435,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2.62946535074909,2.62946535074909,5,5,5,6.52569180617499,6.52569180617499,6.52569180617499,5.9617429080004,5.9617429080004,5.62188415733293,5.62188415733293,5.62188415733293,7,7,7.1538904118401,7.1538904118401,7.1538904118401,7.00000000000024,7.00000000000024,7.00000000000024,7.14262492236858,7.14262492236858,7.18347156243126,7.18347156243126,7.18347156243126,6.00000000000006,6.00000000000006,6.00000000000006,null,null,null,null,null,6.50000000000002,6.50000000000002,6.50000000000002,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0228963661991852,0.99999999999997,1.48121958162124,1.48121958162124,1.99999999999996,1.99999999999996,2,2,2.63725388306546,3,3.00000000000001,3.00000000000001,3.7211965822051,4.87493359383498,4,4,4.99799513703753,5,5,5.9593057230714,6,6,6,5.42931262611002,5.42931262611002,6,6,6.00000000000003,4.60985036461295,4.60985036461295,3.04374624764037,3.04374624764037,4.72118561572869,4.42262937974085,4.42262937974085,3.14823099319094,3.14823099319094,5.79627043780141,6,6,4.94276799712247,4.94276799712247,5.70503007322883,5.70503007322883,4.99999999999999,4.99999999999999,7.01658797025144,7.01658797025144,7.99999999999996,7.99999999999996,8,8,8.21365161864578,7,7,7.03356582988754,7.03356582988754,10.7821568622385,10.7821568622385,10.7821568622385,12.8310868559449,12.8310868559449,5.18967382474244,5.18967382474244,13,13,11,11,11,11,11,11,5.44368084191902,5.44368084191902,5.44368084191902,3,3,6.99999999999997,6.99999999999997,7.60489830676507,7.60489830676507,2.84951795718947,2.84951795718947,2.84951795718947,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4.40736633768724,4.40736633768724,5.00000000000004,5.00000000000004,5.00000000000004,6.99999999999996,6.99999999999996,6.99999999999996,5.96174290800037,5.96174290800037,5.62188415733295,5.62188415733295,5.62188415733295,7.00000000000003,7.00000000000003,7.84610958815999,7.84610958815999,7.84610958815999,9.00000000000002,9.00000000000002,9.00000000000002,8.28524984473693,8.28524984473693,8.00000000000001,8.00000000000001,8.00000000000001,6.50670420031287,6.50670420031287,6.50670420031287,6,6,5.49999999999998,5.49999999999998,5.49999999999998,6.6683007524745,6.6683007524745,6.6683007524745,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.242282806010267,1,1,1,1.01870300224884,2.00000000000004,2.00000000000004,2.00000000000004,2.97751974538454,3.33875708250978,3.33875708250978,3.99999999999997,4.87493359383489,4.00000000000005,4.00000000000005,4.99799513703753,5.00000000000006,5.00000000000006,5.9593057230714,5.99999999999988,5.99999999999988,5.98930140145239,5.00000000000012,5.00000000000012,6.00000000000002,6.00000000000002,6.76022644416097,5.2197007292259,5.2197007292259,2.04374624764029,2.04374624764029,4.44237123145729,3.42262937974077,3.42262937974077,4.0000000000001,4.0000000000001,5.79627043780119,6,6,5.00000000000001,5.00000000000001,5.29496992677123,5.29496992677123,4.85665986896452,4.85665986896452,6.01658797025136,6.01658797025136,6.99999999999999,6.99999999999999,7.99999999999998,7.99999999999998,8.99999999999988,7.00000000000024,7.00000000000024,8.79195728735921,8.79195728735921,10.7821568622381,10.7821568622381,10.7821568622381,12.8310868559449,12.8310868559449,4.37934764948554,4.37934764948554,11.9999999999999,11.9999999999999,10.8714026325566,10.8714026325566,10.2778335051236,10.2778335051236,10.5480290634129,10.5480290634129,4.79277810505014,4.79277810505014,4.79277810505014,2.99999999999976,2.99999999999976,6.24524889700906,6.24524889700906,8,8,5.23301197145955,5.23301197145955,5.23301197145955,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5.00000000000005,5.00000000000005,5.99999999999989,5.99999999999989,5.99999999999989,5.99999999999994,5.99999999999994,5.99999999999994,5.03825709199971,5.03825709199971,6.00000000000012,6.00000000000012,6.00000000000012,7.77532054469869,7.77532054469869,8.00000000000012,8.00000000000012,8.00000000000012,9.48561792971142,9.48561792971142,9.48561792971142,9.14262492236845,9.14262492236845,8.18347156243136,8.18347156243136,8.18347156243136,7.00000000000024,7.00000000000024,7.00000000000024,6.00000000000021,6.00000000000021,5.06673236413132,5.06673236413132,5.06673236413132,6.66830075247454,6.66830075247454,6.66830075247454,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.242282806010257,0.999999999999998,0.999999999999998,1.00000000000004,1.01870300224884,2.31772658401401,2.31772658401401,2.36274611693452,2,3,3,3.72119658220509,4.12506640616501,4.44940812546677,4.44940812546677,4.99799513703753,5.46749483057041,5.46749483057041,6,5,5,5.99999999999996,5.99999999999998,5.99999999999998,6.15380012359838,6.15380012359838,7,5.60985036461294,5.60985036461294,1.0437462476404,1.0437462476404,3.44237123145737,2.42262937974089,2.42262937974089,4.85176900680913,4.85176900680913,3.99999999999997,5.99999999999999,5.99999999999999,5.05723200287753,5.05723200287753,6,6,3.00000000000001,3.00000000000001,5.01658797025148,5.01658797025148,6.91479486498983,6.91479486498983,7.83802972671542,7.83802972671542,8,9,9,7.75839145747187,7.75839145747187,7.21784313776137,7.21784313776137,7.21784313776137,13,13,9.28451073711378,9.28451073711378,11,11,9,9,10.2778335051236,10.2778335051236,11.0960581268257,11.0960581268257,3.1418753681816,3.1418753681816,3.1418753681816,0.99999999999996,0.99999999999996,3.36787334551399,3.36787334551399,8,8,4.92475897859466,4.92475897859466,4.92475897859466,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.9312269972427e-13,1.9312269972427e-13,1.9312269972427e-13,5.40736633768722,5.40736633768722,5.06947623966947,5.06947623966947,5.06947623966947,5.52569180617495,5.52569180617495,5.52569180617495,6,6,7.00000000000003,7.00000000000003,7.00000000000003,7.22467945530125,7.22467945530125,9.00000000000003,9.00000000000003,9.00000000000003,10,10,10,9.14262492236844,9.14262492236844,9.8165284375688,9.8165284375688,9.8165284375688,9,9,9,7.78749372169482,7.78749372169482,7,7,7,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.962439163242528,0.962439163242528,2,1.03740600449763,3,3,2.36274611693452,2,3.00000000000003,3.00000000000003,3.72119658220509,4,4,4,4.99799513703753,5.46749483057043,5.46749483057043,6.00000000000004,4.99999999999998,4.99999999999998,5,5.57068737388995,5.57068737388995,6.15380012359835,6.15380012359835,7,6,6,0.999999999999963,0.999999999999963,2.44237123145751,2.42262937974091,2.42262937974091,5.85176900680909,5.85176900680909,3.20372956219863,5.67247761313224,5.67247761313224,5.05723200287757,5.05723200287757,6.00000000000011,6.00000000000011,3.14334013103518,3.14334013103518,5.01658797025152,5.01658797025152,6.91479486498987,6.91479486498987,7.16197027328457,7.16197027328457,8.0000000000001,9.00000000000005,9.00000000000005,7.75839145747187,7.75839145747187,5.21784313776134,5.21784313776134,5.21784313776134,12.831086855945,12.831086855945,11.0948369123712,11.0948369123712,10,10,9.00000000000004,9.00000000000004,10.2778335051237,10.2778335051237,10.0960581268257,10.0960581268257,2.44368084191909,2.44368084191909,2.44368084191909,0,0,0.613122242523516,0.613122242523516,8.00000000000005,8.00000000000005,4.23301197145958,4.23301197145958,4.23301197145958,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4.81054932807024,4.81054932807024,4.81054932807024,5.40736633768722,5.40736633768722,6,6,6,6.00000000000002,6.00000000000002,6.00000000000002,6.0382570919996,6.0382570919996,7.62188415733296,7.62188415733296,7.62188415733296,7.22467945530122,7.22467945530122,9.84610958816002,9.84610958816002,9.84610958816002,10,10,10,8.99999999999996,8.99999999999996,8.99999999999996,8.99999999999996,8.99999999999996,8.99999999999996,8.99999999999996,8.99999999999996,8.78749372169474,8.78749372169474,7.06673236413105,7.06673236413105,7.06673236413105,6.99999999999996,6.99999999999996,6.99999999999996,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.00000000000004,6.00000000000004,6.00000000000004,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.962439163242528,0.962439163242528,2,2.01870300224876,2.99999999999992,2.99999999999992,2.36274611693449,2,2.33875708250982,2.33875708250982,3.72119658220509,4,4,4,4.99799513703753,5,5,5,5.52636165639694,5.52636165639694,5.01069859854761,6,6,7,7,7,5.99999999999997,5.99999999999997,1.91250750471919,1.91250750471919,0,1.84525875948174,1.84525875948174,5.85176900680904,5.85176900680904,2.30559434329797,5.34495522626442,5.34495522626442,4.05723200287753,4.05723200287753,3.29496992677107,3.29496992677107,4.85665986896475,4.85665986896475,4.03317594050296,4.03317594050296,5.99999999999984,5.99999999999984,6.83802972671544,6.83802972671544,5.42730323729144,7.75979298847507,7.75979298847507,7.75839145747185,7.75839145747185,8.00000000000008,8.00000000000008,8.00000000000008,11.6621737118897,11.6621737118897,12,12,9.99999999999992,9.99999999999992,7.99999999999999,7.99999999999999,9.27783350512369,9.27783350512369,10.0960581268257,10.0960581268257,1.3963890525252,1.3963890525252,1.3963890525252,0,0,0.367873345514094,0.367873345514094,6.79020338646985,6.79020338646985,4.23301197145958,4.23301197145958,4.23301197145958,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5.40736633768719,5.40736633768719,6.06947623966943,6.06947623966943,6.06947623966943,5.47430819382511,5.47430819382511,5.47430819382511,6.0382570919996,6.0382570919996,7.00000000000005,7.00000000000005,7.00000000000005,8,8,8.99999999999999,8.99999999999999,8.99999999999999,9.99999999999988,9.99999999999988,9.99999999999988,10,10,10,10,10,9.99999999999992,9.99999999999992,9.99999999999992,9.57498744338955,9.57498744338955,8,8,8,8,8,8,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,null,null,null,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.962439163242528,0.962439163242528,2,1.01870300224884,2,2,2,2,2.33875708250982,2.33875708250982,3.72119658220509,4,4,4,4.99799513703753,5,5,5,5.52636165639694,5.52636165639694,5.01069859854761,6,6,7,7,7,5.60985036461292,5.60985036461292,1.91250750471919,1.91250750471919,0,1.42262937974089,1.42262937974089,5.14823099319091,5.14823099319091,3.30559434329789,5.01743283939668,5.01743283939668,4.11446400575506,4.11446400575506,2.29496992677115,2.29496992677115,4.85665986896475,4.85665986896475,4,4,4,4,6.83802972671544,6.83802972671544,4.64095485593725,6.51958597695033,6.51958597695033,7.51678291494373,7.51678291494373,9,9,9,10.6621737118898,10.6621737118898,12,12,9,9,7.87140263255679,7.87140263255679,10,10,9.54802906341286,9.54802906341286,1.74548631565646,1.74548631565646,1.74548631565646,0,0,0.245248897009402,0.245248897009402,6.18530507970485,6.18530507970485,4.23301197145958,4.23301197145958,4.23301197145958,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,5,6.06947623966943,6.06947623966943,6.06947623966943,5.94861638765014,5.94861638765014,5.94861638765014,6.0382570919996,6.0382570919996,7.62188415733293,7.62188415733293,7.62188415733293,8,8,8.84610958815998,8.84610958815998,8.84610958815998,8.48561792971136,8.48561792971136,8.48561792971136,10,10,10,10,10,9,9,9,9.57498744338955,9.57498744338955,8,8,8,8,8,8,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.739946633953579,1.99999999999992,2,2,2,2,2.67751416501963,2.67751416501963,4,5,5,5,5,5.00000000000004,5.00000000000004,5.9593057230714,5.00000000000004,5.00000000000004,5.01069859854761,5.42931262611003,5.42931262611003,6,6,5.99999999999994,5.60985036461292,5.60985036461292,1.91250750471919,1.91250750471919,0,0,0,5.14823099319089,5.14823099319089,4.20372956219858,4.34495522626448,4.34495522626448,3.11446400575506,3.11446400575506,0.29496992677115,0.29496992677115,3.99999999999993,3.99999999999993,3.98341202974852,3.98341202974852,2.99999999999993,2.99999999999993,5.83802972671536,5.83802972671536,6.78634838135423,6.75979298847518,6.75979298847518,6.51678291494367,6.51678291494367,9,9,9,10,10,9.99999999999993,9.99999999999993,9.99129875512919,9.99129875512919,8,8,9.27783350512355,9.27783350512355,9.64408719023854,9.64408719023854,1.39638905252517,1.39638905252517,1.39638905252517,0,0,0.245248897009402,0.245248897009402,6.18530507970489,6.18530507970489,4.92475897859477,4.92475897859477,4.92475897859477,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2.03683168843606,2.03683168843606,5.99999999999992,5.99999999999992,5.99999999999992,6.47430819382507,6.47430819382507,6.47430819382507,6.03825709199967,6.03825709199967,7.24376831466592,7.24376831466592,7.24376831466592,8,8,7.99999999999993,7.99999999999993,7.99999999999993,7.48561792971136,7.48561792971136,7.48561792971136,7.99999999999993,7.99999999999993,7.18347156243115,7.18347156243115,7.18347156243115,8,8,8,8.78749372169471,8.78749372169471,7.99999999999992,7.99999999999992,7.99999999999992,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.739946633953579,1.01870300224884,2,2,2,2,2.67751416501965,2.67751416501965,4.00000000000001,5,5,5,5,5.46749483057039,5.46749483057039,6,5.52636165639694,5.52636165639694,5.01069859854761,5.42931262611003,5.42931262611003,6,6,5.23977355583903,5.60985036461291,5.60985036461291,1.91250750471915,1.91250750471915,0,0,0,5.00000000000004,5.00000000000004,4.1018647810993,4.68991045252895,4.68991045252895,3.11446400575504,3.11446400575504,0.294969926771162,0.294969926771162,3.14334013103526,3.14334013103526,3.98341202974852,3.98341202974852,2.08520513501017,2.08520513501017,4.83802972671556,4.83802972671556,6.57269676270854,7,7,5.75839145747188,5.75839145747188,9.00000000000001,9.00000000000001,9.00000000000001,10,10,9.09483691237124,9.09483691237124,9.99129875512923,9.99129875512923,8,8,8.27783350512359,8.27783350512359,9.09605812682573,9.09605812682573,1.39638905252514,1.39638905252514,1.39638905252514,0,0,0.245248897009407,0.245248897009407,6.7902033864699,6.7902033864699,5.92475897859466,5.92475897859466,5.92475897859466,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.62946535074889,1.62946535074889,5.00000000000004,5.00000000000004,5.00000000000004,6.47430819382507,6.47430819382507,6.47430819382507,7,7,8.00000000000001,8.00000000000001,8.00000000000001,7.99999999999997,7.99999999999997,7.15389041184002,7.15389041184002,7.15389041184002,7.48561792971134,7.48561792971134,7.48561792971134,7.14262492236845,7.14262492236845,6.99999999999997,6.99999999999997,6.99999999999997,8,8,8,8.00000000000004,8.00000000000004,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.739946633953579,1.01870300224884,2,2,2,2,2.33875708250976,2.33875708250976,3.72119658220509,5,5,5,4.99999999999992,6.00000000000004,6.00000000000004,6,5.52636165639691,5.52636165639691,5.01069859854753,5.42931262611003,5.42931262611003,6,6,6,6,6,2.86876125707862,2.86876125707862,-6.71591324902308e-14,0,0,4.00000000000009,4.00000000000009,4.00000000000016,3.34495522626464,3.34495522626464,3.52861600143893,3.52861600143893,0,0,3,3,3.9834120297486,3.9834120297486,2.08520513501024,2.08520513501024,1.83802972671559,1.83802972671559,5.57269676270864,7,7,5.48321708505637,5.48321708505637,8.78215686223865,8.78215686223865,8.78215686223865,10,10,9.09483691237116,9.09483691237116,8.99999999999992,8.99999999999992,7.99999999999993,7.99999999999993,9.27783350512365,9.27783350512365,9.09605812682573,9.09605812682573,2.09458357878781,2.09458357878781,2.09458357878781,0,0,0.122624448504711,0.122624448504711,6.79020338647003,6.79020338647003,6.61650598572976,6.61650598572976,6.61650598572976,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.22209901306175,1.22209901306175,4.06947623966929,4.06947623966929,4.06947623966929,6.42292458147532,6.42292458147532,6.42292458147532,7.00000000000007,7.00000000000007,7.6218841573329,7.6218841573329,7.6218841573329,8.7753205446989,8.7753205446989,7.15389041184004,7.15389041184004,7.15389041184004,7.99999999999996,7.99999999999996,7.99999999999996,7.14262492236845,7.14262492236845,7.81652843756876,7.81652843756876,7.81652843756876,7.99999999999996,7.99999999999996,7.99999999999996,6.99999999999992,6.99999999999992,6.93326763586891,6.93326763586891,6.93326763586891,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4.99999999999997,4.99999999999997,4.99999999999997,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5.79566397254885e-14,5.79566397254885e-14,0.73994663395361,1.01870300224896,2,2,2,2.00000000000012,3,3,3.72119658220509,5,5,5,5.99799513703753,5.46749483057048,5.46749483057048,6,6,6,6,5.42931262611003,5.42931262611003,6,6,6,5.99999999999988,5.99999999999988,4.91250750471919,4.91250750471919,0.836443152813918,0,0,2.85176900680906,2.85176900680906,1.99999999999976,0.99999999999996,0.99999999999996,1.47138399856111,1.47138399856111,0,0,3.00000000000002,3.00000000000002,3,3,1.17041027002023,1.17041027002023,0,0,3.78634838135425,7,7,4.20804271264076,4.20804271264076,7.56431372447707,7.56431372447707,7.56431372447707,9.83108685594491,9.83108685594491,10.0948369123712,10.0948369123712,10,10,8.8714026325568,8.8714026325568,9.00000000000003,9.00000000000003,9.09605812682585,9.09605812682585,1.39638905252525,1.39638905252525,1.39638905252525,0,0,0,0,5.18530507970472,5.18530507970472,6.99999999999992,6.99999999999992,6.99999999999992,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5.86104752066104,5.86104752066104,5.86104752066104,5.00000000000012,5.00000000000012,5.00000000000012,6.07651418399931,6.07651418399931,7.99999999999992,7.99999999999992,7.99999999999992,6.99999999999997,6.99999999999997,6.8461095881601,6.8461095881601,6.8461095881601,8.51438207028858,8.51438207028858,8.51438207028858,7.14262492236845,7.14262492236845,8.81652843756884,8.81652843756884,8.81652843756884,8.50670420031298,8.50670420031298,8.50670420031298,8,8,7.00000000000012,7.00000000000012,7.00000000000012,7,7,7,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.32714650008394,5.32714650008394,5.32714650008394,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.481219581621264,0.481219581621264,1,2,2,2,2,2.97751974538461,3,3,3.72119658220509,5,5,5,5.99799513703749,6,6,6,6,6,6,5.42931262611006,5.42931262611006,5.99999999999997,5.99999999999997,6,5.00000000000004,5.00000000000004,4.95625375235959,4.95625375235959,1.11525753708524,0,0,2.55530702042718,2.55530702042718,0,0.672477613132198,0.672477613132198,0.471383998561216,0.471383998561216,8.02913291408988e-14,8.02913291408988e-14,3.14334013103529,3.14334013103529,3,3,0.255615405030506,0.255615405030506,0,0,3.78634838135421,7.00000000000002,7.00000000000002,4.96643417011256,4.96643417011256,7.34647058671561,7.34647058671561,7.34647058671561,9.83108685594491,9.83108685594491,10.0948369123712,10.0948369123712,10,10,9,9,9.27783350512363,9.27783350512363,10.0960581268257,10.0960581268257,2.09458357878778,2.09458357878778,2.09458357878778,0,0,0,0,4.18530507970474,4.18530507970474,6.30825299286474,6.30825299286474,6.30825299286474,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4.99999999999999,4.99999999999999,4.99999999999999,5.99999999999996,5.99999999999996,5.99999999999996,7.03825709199956,7.03825709199956,7.378115842667,7.378115842667,7.378115842667,6.77532054469875,6.77532054469875,7.84610958815998,7.84610958815998,7.84610958815998,8,8,8,7.14262492236849,7.14262492236849,8.81652843756884,8.81652843756884,8.81652843756884,9.50670420031281,9.50670420031281,9.50670420031281,7.99999999999999,7.99999999999999,7.99999999999996,7.99999999999996,7.99999999999996,7.00000000000001,7.00000000000001,7.00000000000001,6.00000000000004,6.00000000000004,6.00000000000004,6.50000000000001,6.50000000000001,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,5.67285349991609,5.67285349991609,5.67285349991609,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.481219581621264,0.481219581621264,1,2,2,2,2,2,3,3,3.72119658220509,5,5,5,5,6,6,6,6,6,6,6,6,5.15380012359848,5.15380012359848,6,6,6,4.95625375235959,4.95625375235959,2.55762876854268,0,0,0,0,0,0,0,0,0,1.99999999999995,1.99999999999995,4,4,2.98341202974852,2.98341202974852,0.170410270020339,0.170410270020339,0,0,2.78634838135425,7.5195859769503,7.5195859769503,5.7248256275844,5.7248256275844,6.34647058671565,6.34647058671565,6.34647058671565,9.83108685594483,9.83108685594483,10,10,9.9956493775646,9.9956493775646,9,9,9.2778335051236,9.2778335051236,10.0960581268257,10.0960581268257,2.79277810505038,2.79277810505038,2.79277810505038,0,0,0,0,1.5804067729397,1.5804067729397,2.30825299286465,2.30825299286465,2.30825299286465,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.20436993711329e-13,1.20436993711329e-13,1.20436993711329e-13,4.90619770502426e-14,4.90619770502426e-14,4.86104752066113,4.86104752066113,4.86104752066113,5,5,5,5.99999999999988,5.99999999999988,5.62188415733293,5.62188415733293,5.62188415733293,6.77532054469878,6.77532054469878,7.84610958815998,7.84610958815998,7.84610958815998,7.99999999999994,7.99999999999994,7.99999999999994,8.14262492236855,8.14262492236855,9,9,9,8.49329579968721,8.49329579968721,8.49329579968721,7.7874937216948,7.7874937216948,7,7,7,7.33169924752549,7.33169924752549,7.33169924752549,7.00000000000007,7.00000000000007,7.00000000000007,6.821666084371,6.821666084371,6,6,6,6,6,6,null,null,null,6,6,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,5.0000000000001,5.0000000000001,5.0000000000001,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.481219581621245,0.481219581621245,0.99999999999999,2,2,2,2,2,3,3,3.72119658220506,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,4.95625375235959,4.95625375235959,3.27881438427131,0,0,0,0,0,0,0,0,0,1.58993985354233,1.58993985354233,3.99999999999999,3.99999999999999,2.98341202974852,2.98341202974852,0.170410270020343,0.170410270020343,0,0,2.78634838135429,7.27937896542548,7.27937896542548,5.72482562758443,5.72482562758443,6.34647058671563,6.34647058671563,6.34647058671563,9.16891314405508,9.16891314405508,10,10,10,10,9.00000000000004,9.00000000000004,9,9,9.99999999999998,9.99999999999998,3.14187536818163,3.14187536818163,3.14187536818163,0,0,0,0,0.790203386469881,0.790203386469881,0.308252992864883,0.308252992864883,0.308252992864883,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.00000000000004,1.00000000000004,1.00000000000004,0.407366337687202,0.407366337687202,4.79157128099171,4.79157128099171,4.79157128099171,5,5,5,5,5,5.62188415733293,5.62188415733293,5.62188415733293,7,7,7.84610958816002,7.84610958816002,7.84610958816002,7.48561792971138,7.48561792971138,7.48561792971138,9,9,8.99999999999999,8.99999999999999,8.99999999999999,8.99999999999996,8.99999999999996,8.99999999999996,8.00000000000003,8.00000000000003,7.00000000000004,7.00000000000004,7.00000000000004,7.33169924752552,7.33169924752552,7.33169924752552,7.58310169460758,7.58310169460758,7.58310169460758,6.00000000000007,6.00000000000007,6,6,6,6,6,6,6.99999999999996,6.99999999999996,6.99999999999996,6,6,6,6,6,6.02631543710439,6.02631543710439,6.02631543710439,null,null,null,null,null,null,null,null,null,null,null,null,5.82266720216917,5.82266720216917,5.82266720216917,5,5,5.50000000000002,5.50000000000002,5.50000000000002,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.739946633953579,1.99999999999988,2,2,2,2,3,3,3,4.99999999999989,5,5,5.00000000000012,5.99999999999994,5.99999999999994,5.99999999999999,6,6,6,5.99999999999988,5.99999999999988,6,6,6,6,6,5.00000000000012,5.00000000000012,3.55762876854254,0,0,0,0,0,0,0,0,0,2.29496992677115,2.29496992677115,3.85665986896487,3.85665986896487,3,3,0.255615405030729,0.255615405030729,1.39944206496323e-13,1.39944206496323e-13,3.78634838135437,7.03917195390069,7.03917195390069,6.48321708505636,6.48321708505636,5.78215686223879,5.78215686223879,5.78215686223879,9.0000000000001,9.0000000000001,11,11,10.0000000000001,10.0000000000001,10,10,9.00000000000003,9.00000000000003,9.54802906341298,9.54802906341298,3.14187536818222,3.14187536818222,3.14187536818222,0,0,0,0,0.395101693234996,0.395101693234996,3.71250637631678e-14,3.71250637631678e-14,3.71250637631678e-14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.9052746640349,1.9052746640349,1.9052746640349,2.40873987422658e-13,2.40873987422658e-13,4.79157128099161,4.79157128099161,4.79157128099161,5,5,5,5.0382570919996,5.0382570919996,5.62188415733313,5.62188415733313,5.62188415733313,7,7,8.84610958815988,8.84610958815988,8.84610958815988,8,8,8,8.99999999999998,8.99999999999998,8.81652843756884,8.81652843756884,8.81652843756884,8,8,8,8.78749372169477,8.78749372169477,8.00000000000001,8.00000000000001,8.00000000000001,7.99999999999992,7.99999999999992,7.99999999999992,7.16620338921516,7.16620338921516,7.16620338921516,7.82166608437102,7.82166608437102,6.00000000000001,6.00000000000001,6.00000000000001,5.99999999999988,5.99999999999988,5.99999999999988,5.99999999999994,5.99999999999994,5.99999999999994,6,6,6,6,6,6.00000000000012,6.00000000000012,6.00000000000012,6,6,6,null,null,null,null,null,null,null,null,null,5.8226672021692,5.8226672021692,5.8226672021692,5,5,5.88577932708802,5.88577932708802,5.88577932708802,5,5,5,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.93188799084962e-14,1.93188799084962e-14,0.739946633953589,1.01870300224884,2,2,2,2,3,3,3,4.12506640616502,5,5,5.99799513703753,5.5325051694296,5.5325051694296,5.9593057230714,6,6,5.98930140145239,5.00000000000002,5.00000000000002,6,6,6,6,6,6,6,3.1152575370852,0,0,0,0,0,2.69970606879384e-14,2.69970606879384e-14,4.24432813606589e-14,4.24432813606589e-14,2.29496992677115,2.29496992677115,4.85665986896475,4.85665986896475,3.00000000000004,3.00000000000004,2.08520513501021,2.08520513501021,1.16197027328456,1.16197027328456,4.78634838135424,7.27937896542549,7.27937896542549,7.24160854252816,7.24160854252816,7.78215686223856,7.78215686223856,7.78215686223856,9.83108685594491,9.83108685594491,11,11,11,11,10,10,9.27783350512366,9.27783350512366,10.5480290634129,10.5480290634129,8.0472917893939,8.0472917893939,8.0472917893939,1.00763510745637e-14,1.00763510745637e-14,0,0,0.790203386469881,0.790203386469881,0.30825299286492,0.30825299286492,0.30825299286492,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.905274664034986,0.905274664034986,0.905274664034986,2.00000000000006,2.00000000000006,3.93052376033057,3.93052376033057,3.93052376033057,5.00000000000004,5.00000000000004,5.00000000000004,5.03825709199964,5.03825709199964,7.24376831466585,7.24376831466585,7.24376831466585,7.00000000000001,7.00000000000001,7.99999999999996,7.99999999999996,7.99999999999996,8,8,8,8.85737507763152,8.85737507763152,8.8165284375688,8.8165284375688,8.8165284375688,8.00000000000002,8.00000000000002,8.00000000000002,8.78749372169478,8.78749372169478,8.06673236413112,8.06673236413112,8.06673236413112,7.33169924752551,7.33169924752551,7.33169924752551,7.00000000000006,7.00000000000006,7.00000000000006,7.1783339156289,7.1783339156289,6.04813704404307,6.04813704404307,6.04813704404307,5.00000000000004,5.00000000000004,5.00000000000004,5.46786315306114,5.46786315306114,5.46786315306114,6,6,6,null,null,7,7,7,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,0,0,null,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-9.72660426127545e-15,0.481219581621243,0.481219581621243,1,1.01870300224884,2,2,2,2,3,3,3,4.12506640616502,4.99999999999998,4.99999999999998,5.99799513703753,6,6,6,6,6,5.98930140145239,5.57068737388995,5.57068737388995,6.00000000000004,6.00000000000004,6,6,6,5.95625375235959,5.95625375235959,3.55762876854255,-2.31789272537546e-14,-2.31789272537546e-14,0,0,0,0.672477613132252,0.672477613132252,1.05723200287757,1.05723200287757,2.29496992677111,2.29496992677111,4.85665986896471,4.85665986896471,3.98341202974848,3.98341202974848,2.99999999999996,2.99999999999996,1.16197027328456,1.16197027328456,4.57269676270855,7.2793789654255,7.2793789654255,7.99999999999999,7.99999999999999,8.00000000000003,8.00000000000003,8.00000000000003,9.66217371188986,9.66217371188986,10.0948369123712,10.0948369123712,10.0043506224354,10.0043506224354,11,11,9.99999999999996,9.99999999999996,10.5480290634128,10.5480290634128,8.69819452626256,8.69819452626256,8.69819452626256,0.250994750799954,0.250994750799954,0,0,0.395101693234964,0.395101693234964,0.924758978594616,0.924758978594616,0.924758978594616,-7.92995903480027e-14,-7.92995903480027e-14,0,0,0,0,0,0,0,-2.12541084302099e-14,-2.12541084302099e-14,-2.12541084302099e-14,0,0,0,0,0,0,0,3.40736633768734,3.40736633768734,3.99999999999997,3.99999999999997,3.99999999999997,6,6,6,6,6,7,7,7,7.22467945530126,7.22467945530126,7,7,7,8,8,8,8.00000000000004,8.00000000000004,7.99999999999998,7.99999999999998,7.99999999999998,8.49329579968713,8.49329579968713,8.49329579968713,8.78749372169481,8.78749372169481,8.93326763586895,8.93326763586895,8.93326763586895,7.66339849505094,7.66339849505094,7.66339849505094,8.58310169460757,8.58310169460757,8.58310169460757,7.17833391562887,7.17833391562887,7.00000000000004,7.00000000000004,7.00000000000004,6,6,6,5,5,5,null,null,null,null,null,6.97368456289563,6.97368456289563,6.97368456289563,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.242282806010267,1,1,1,1.01870300224884,2,2,2,2,2.99999999999997,2.99999999999997,3,4.12506640616502,5.55059187453319,5.55059187453319,6,6,6,6,6,6,6,6,6,5.15380012359838,5.15380012359838,6,6,6,6,6,4.55762876854262,0.577370620259134,0.577370620259134,0,0,0,0,0,0,0,3.29496992677115,3.29496992677115,5.85665986896475,5.85665986896475,4.98341202974856,4.98341202974856,4.00000000000004,4.00000000000004,1.1619702732846,1.1619702732846,3.35904514406272,7.03917195390063,7.03917195390063,8.24160854252812,8.24160854252812,7.21784313776148,7.21784313776148,7.21784313776148,8.83108685594495,8.83108685594495,9.99999999999996,9.99999999999996,11,11,11,11,11,11,11,11,9.34909726313129,9.34909726313129,9.34909726313129,4.50198950160032,4.50198950160032,0,0,0,0,2.69174700713509,2.69174700713509,2.69174700713509,1.97529649082894,1.97529649082894,0,0,0,0,0,0,0,0.529424750035248,0.529424750035248,0.529424750035248,1.36798263785855e-15,1.36798263785855e-15,4.6194518758915e-14,4.6194518758915e-14,0,0,0,0.407366337687275,0.407366337687275,4.79157128099176,4.79157128099176,4.79157128099176,6.00000000000002,6.00000000000002,6.00000000000002,6.03825709199967,6.03825709199967,7,7,7,7,7,7.00000000000003,7.00000000000003,7.00000000000003,8,8,8,7.00000000000001,7.00000000000001,8.63305687513764,8.63305687513764,8.63305687513764,8.99999999999998,8.99999999999998,8.99999999999998,7.99999999999999,7.99999999999999,8,8,8,9,9,9,9,9,9,8,8,6.04813704404303,6.04813704404303,6.04813704404303,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6.00000000000001,6.00000000000001,6.00000000000001,null,null,null,null,null,null,null,null,null,5.03050411358184,5.03050411358184,5,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.242282806010267,1,1,1,1.01870300224884,2.00000000000003,2.00000000000003,2,2,2.33875708250982,2.33875708250982,3,4.12506640616502,5,5,5.99799513703757,6,6,6,6.00000000000004,6.00000000000004,6.00000000000004,6,6,5.15380012359835,5.15380012359835,6,6,6,6,6,5.27881438427129,1.15474124051812,1.15474124051812,0,0,0,0,0,-1.89240238901166e-14,-1.89240238901166e-14,3.29496992677115,3.29496992677115,6,6,5.966824059497,5.966824059497,4.91479486498983,4.91479486498983,2.16197027328448,2.16197027328448,2.57269676270857,6.27937896542551,6.27937896542551,7.99999999999998,7.99999999999998,8.00000000000003,8.00000000000003,8.00000000000003,9.83108685594495,9.83108685594495,9.00000000000008,9.00000000000008,10.0043506224354,10.0043506224354,10.8714026325568,10.8714026325568,11,11,11,11,9.34909726313129,9.34909726313129,9.34909726313129,6.25099475080006,6.25099475080006,0,0,0,0,2.38349401427019,2.38349401427019,2.38349401427019,2.96294473624339,2.96294473624339,0,0,0,0,0,0,0,0,0,0,0.0340754762063577,0.0340754762063577,1.15067266299346,1.15067266299346,-4.39484761344226e-14,-4.39484761344226e-14,-4.39484761344226e-14,1.81473267537433,1.81473267537433,5.93052376033057,5.93052376033057,5.93052376033057,6.47430819382505,6.47430819382505,6.47430819382505,7.9617429080004,7.9617429080004,7,7,7,6.99999999999996,6.99999999999996,7.84610958815994,7.84610958815994,7.84610958815994,8,8,8,7.14262492236842,7.14262492236842,7.81652843756884,7.81652843756884,7.81652843756884,8.5067042003129,8.5067042003129,8.5067042003129,7.78749372169481,7.78749372169481,8.00000000000004,8.00000000000004,8.00000000000004,9.00000000000005,9.00000000000005,9.00000000000005,9.00000000000006,9.00000000000006,9.00000000000006,8.00000000000004,8.00000000000004,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.36077095663234,6.36077095663234,6.36077095663234,5,5,5,5.49999999999999,5.49999999999999,5.49999999999999,null,null,null,5,5,4.99999999999996,4.99999999999996,4.99999999999996,5,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.242282806010248,0.999999999999958,0.999999999999958,1,1,1.31772658401398,1.31772658401398,2,2,2.33875708250982,2.33875708250982,3,4.12506640616495,5,5,5,5.99999999999996,5.99999999999996,6,5.00000000000008,5.00000000000008,5.01069859854769,6,6,6,6,6,6,6,6,6,5.27881438427135,3.73211186077745,3.73211186077745,0,0,0,0,0,0.471383998561273,0.471383998561273,3.29496992677121,3.29496992677121,6,6,6.96682405949696,6.96682405949696,5,5,4.00000000000008,4.00000000000008,0.786348381354204,5.79896494237576,5.79896494237576,8.51678291494375,8.51678291494375,7.21784313776151,7.21784313776151,7.21784313776151,9.00000000000008,9.00000000000008,7.09483691237131,7.09483691237131,10.0043506224355,10.0043506224355,11,11,11,11,10.5480290634129,10.5480290634129,9.34909726313129,9.34909726313129,9.34909726313129,8,8,0,0,3.17232400956486e-14,3.17232400956486e-14,2.76698802854036,2.76698802854036,2.76698802854036,1.9752964908289,1.9752964908289,0,0,0,0,0,0,0,0,0,0,0.034075476206355,0.034075476206355,1.84932733700651,1.84932733700651,1.09472533596505,1.09472533596505,1.09472533596505,4.40736633768722,4.40736633768722,5.99999999999993,5.99999999999993,5.99999999999993,7.00000000000004,7.00000000000004,7.00000000000004,7.99999999999992,7.99999999999992,7,7,7,8,8,8.84610958815992,8.84610958815992,8.84610958815992,7.99999999999992,7.99999999999992,7.99999999999992,7.85737507763149,7.85737507763149,7.81652843756877,7.81652843756877,7.81652843756877,7.50670420031281,7.50670420031281,7.50670420031281,7,7,6.99999999999993,6.99999999999993,6.99999999999993,7.66830075247442,7.66830075247442,7.66830075247442,7.58310169460759,7.58310169460759,7.58310169460759,7,7,6.04813704404303,6.04813704404303,6.04813704404303,6.00000000000008,6.00000000000008,6.00000000000008,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.63922904336767,6.63922904336767,6.63922904336767,5,5,5,5.67285349991612,5.67285349991612,5.67285349991612,null,null,null,null,null,5.88577932708805,5.88577932708805,5.88577932708805,5.00000000000002,5.00000000000002,5.00000000000002,5.00000000000005,5.00000000000005,5.00000000000005,5.00000000000004,5.00000000000004,5.00000000000004,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.481219581621264,0.481219581621264,1,0.999999999999921,1.31772658401398,1.31772658401398,2,2,2.33875708250982,2.33875708250982,3,3.25013281233003,4.99999999999996,4.99999999999996,5,5.53250516942958,5.53250516942958,5.9593057230714,6,6,6,6,6,5.99999999999992,5.99999999999992,5.99999999999998,6,6,6,6,6,5.15474124051821,5.15474124051821,0,0,0,0,0,0.94276799712247,0.94276799712247,4.00000000000008,4.00000000000008,6.00000000000001,6.00000000000001,5.98341202974852,5.98341202974852,5.00000000000008,5.00000000000008,5.00000000000001,5.00000000000001,0.21365161864575,5.03917195390058,5.03917195390058,8.75839145747178,8.75839145747178,7.99999999999995,7.99999999999995,7.99999999999995,9.99999999999999,9.99999999999999,8.00000000000007,8.00000000000007,10.9999999999999,10.9999999999999,10.8714026325567,10.8714026325567,11,11,10.5480290634129,10.5480290634129,9.34909726313132,9.34909726313132,9.34909726313132,8,8,0,0,0.39510169323498,0.39510169323498,2.07524102140528,2.07524102140528,2.07524102140528,1.97529649082874,1.97529649082874,0,0,0,0,0,0,0,0,0,0,0,0,1.84932733700648,1.84932733700648,1.99999999999985,1.99999999999985,1.99999999999985,4.40736633768722,4.40736633768722,5.0694762396695,5.0694762396695,5.0694762396695,7.47430819382511,7.47430819382511,7.47430819382511,7.03825709199959,7.03825709199959,7.00000000000008,7.00000000000008,7.00000000000008,7.99999999999992,7.99999999999992,7.99999999999992,7.99999999999992,7.99999999999992,7,7,7,6.99999999999992,6.99999999999992,6.99999999999999,6.99999999999999,6.99999999999999,6.99999999999992,6.99999999999992,6.99999999999992,6.99999999999994,6.99999999999994,6.06673236413116,6.06673236413116,6.06673236413116,6.66830075247448,6.66830075247448,6.66830075247448,7.58310169460758,7.58310169460758,7.58310169460758,6.99999999999993,6.99999999999993,6.04813704404311,6.04813704404311,6.04813704404311,6.99999999999992,6.99999999999992,6.99999999999992,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.99999999999997,6.99999999999997,6.99999999999997,5.00000000000008,5.00000000000008,5.00000000000008,5.99999999999992,5.99999999999992,5.99999999999992,6.00000000000007,6.00000000000007,6.00000000000007,null,null,5,5,5,5.25772593937796,5.25772593937796,5.25772593937796,5.59910204562636,5.59910204562636,5.59910204562636,5.45537649651058,5.45537649651058,5.45537649651058,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.481219581621264,0.481219581621264,1,0.0187030022488372,1.31772658401398,1.31772658401398,2,2,2.33875708250982,2.33875708250982,3,3.12506640616502,4.55059187453321,4.55059187453321,5,5.46749483057041,5.46749483057041,6,6,6,6,6,6,5,5,5.76022644416094,6,6,6,6,6,5,5,0,0,0,0,0,0.94276799712247,0.94276799712247,5,5,6.14334013103525,6.14334013103525,6,6,6,6,5.16197027328456,5.16197027328456,0.21365161864575,4.03917195390066,4.03917195390066,7.75839145747187,7.75839145747187,7.4356862755229,7.4356862755229,7.4356862755229,9.83108685594491,9.83108685594491,8.90516308762876,8.90516308762876,10,10,10.1285973674432,10.1285973674432,11,11,11,11,9.69819452626258,9.69819452626258,9.69819452626258,8,8,0,0,0.790203386469897,0.790203386469897,1.6917470071351,1.6917470071351,1.6917470071351,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.42466366850326,1.42466366850326,0.094725335964978,0.094725335964978,0.094725335964978,4.40736633768722,4.40736633768722,6,6,6,7.94861638765014,7.94861638765014,7.94861638765014,7,7,8,8,8,7,7,7,7,7,7,7,7,6,6,6.81652843756884,6.81652843756884,6.81652843756884,6,6,6,6.21250627830522,6.21250627830522,7,7,7,6.33169924752549,6.33169924752549,6.33169924752549,7.41689830539241,7.41689830539241,7.41689830539241,6.1783339156289,6.1783339156289,6.95186295595697,6.95186295595697,6.95186295595697,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.63922904336764,6.63922904336764,6.63922904336764,6,6,6,5,5,5,6.82266720216917,6.82266720216917,6.82266720216917,null,null,5,5,5,5.25772593937796,5.25772593937796,5.25772593937796,5,5,5,5.54462350348942,5.54462350348942,5.54462350348942,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.739946633953579,1,1,1,1.63725388306548,2,2,2,2.72119658220504,3.12506640616502,4.55059187453322,4.55059187453322,5,5.46749483057033,5.46749483057033,6,6,6,5.98930140145239,5,5,3.84619987640163,3.84619987640163,5.28067933248279,6,6,6,6,5.27881438427135,6,6,3.70353801361834,3.70353801361834,0.2037295621986,0,0,1.41415199568363,1.41415199568363,5.00000000000002,5.00000000000002,6.14334013103525,6.14334013103525,6.01658797025148,6.01658797025148,6.08520513501017,6.08520513501017,7,7,3.21365161864583,3.51958597695039,3.51958597695039,7.51678291494373,7.51678291494373,6.43568627552303,6.43568627552303,6.43568627552303,9,9,8,8,10,10,11,11,10.7221664948764,10.7221664948764,10.4519709365872,10.4519709365872,10.3490972631312,10.3490972631312,10.3490972631312,8.12549737540013,8.12549737540013,0.87737555149551,0.87737555149551,2.37061015940966,2.37061015940966,4.00000000000016,4.00000000000016,4.00000000000016,0,0,0,0,5.81707544715822e-14,5.81707544715822e-14,5.81707544715822e-14,0,0,8.02913291408859e-14,8.02913291408859e-14,8.02913291408859e-14,2.35402056871224e-13,2.35402056871224e-13,0,0,7.26857060129409e-14,7.26857060129409e-14,7.26857060129409e-14,3.22209901306178,3.22209901306178,6,6,6,8.47430819382507,8.47430819382507,8.47430819382507,9,9,8.62188415733288,8.62188415733288,8.62188415733288,7.77532054469869,7.77532054469869,6.99999999999992,6.99999999999992,6.99999999999992,5.99999999999996,5.99999999999996,5.99999999999996,6,6,6.18347156243115,6.18347156243115,6.18347156243115,6.49329579968711,6.49329579968711,6.49329579968711,7.21250627830521,7.21250627830521,7.00000000000001,7.00000000000001,7.00000000000001,6.00000000000008,6.00000000000008,6.00000000000008,7.58310169460758,7.58310169460758,7.58310169460758,6,6,6,6,6,5.99999999999998,5.99999999999998,5.99999999999998,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5.32714650008396,5.32714650008396,5.32714650008396,5.17733279783089,5.17733279783089,5.17733279783089,6,6,5.00000000000008,5.00000000000008,5.00000000000008,5.742274060622,5.742274060622,5.742274060622,5,5,5,5.00000000000004,5.00000000000004,5.00000000000004,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.739946633953579,1,1,1,1.63725388306548,2,2,2,2,3.12506640616502,4.55059187453321,4.55059187453321,5,4.46749483057041,4.46749483057041,5.9593057230714,6,6,5.98930140145239,5,5,4,4,4.76022644416094,6,6,6,6,6,6,6,5.55530702042728,5.55530702042728,0.305594343297888,0,0,0.471383998561235,0.471383998561235,5.29496992677115,5.29496992677115,6.14334013103525,6.14334013103525,6.01658797025148,6.01658797025148,6.08520513501017,6.08520513501017,7,7,4.21365161864575,4.27937896542549,4.27937896542549,7.51678291494373,7.51678291494373,8,8,8,9,9,8,8,10,10,11,11,11,11,11,11,9.69819452626258,9.69819452626258,9.69819452626258,9,9,3.5095022059812,3.5095022059812,1.97550846617474,1.97550846617474,6,6,6,0,0,0,0,0.724496095581017,0.724496095581017,0.724496095581017,0,0,1,1,1,2.93184904758728,2.93184904758728,0,0,0.905274664035022,0.905274664035022,0.905274664035022,4.81473267537444,4.81473267537444,6,6,6,8.47430819382507,8.47430819382507,8.47430819382507,8.9617429080004,8.9617429080004,8,8,8,7,7,6,6,6,5.48561792971136,5.48561792971136,5.48561792971136,6,6,6,6,6,6,6,6,7,7,7.06673236413109,7.06673236413109,7.06673236413109,7,7,7,7.41689830539241,7.41689830539241,7.41689830539241,6,6,6.04813704404303,6.04813704404303,6.04813704404303,5.73672341949593,5.73672341949593,5.73672341949593,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6,6,6,6,6,6,6,6,6,6,6,5.25772593937796,5.25772593937796,5.25772593937796,5,5,5,5.45537649651058,5.45537649651058,5.45537649651058,5,5,5,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.739946633953579,1,1,1,1.63725388306548,2,2,2,2,3.12506640616502,4,4,4,4.46749483057036,4.46749483057036,5.95930572307128,4.52636165639694,4.52636165639694,4.01069859854761,5.00000000000012,5.00000000000012,5,5,5,5.39014963538707,5.39014963538707,5.99999999999988,5.99999999999988,6.72118561572862,6,6,5.99999999999988,5.99999999999988,3.30559434329798,1.3100895474711,1.3100895474711,5.67720716703405e-14,5.67720716703405e-14,4.58993985354239,4.58993985354239,6.14334013103525,6.14334013103525,6.99999999999988,6.99999999999988,7,7,7,7,5.21365161864575,5.51958597695045,5.51958597695045,7.75839145747187,7.75839145747187,8.78215686223855,8.78215686223855,8.78215686223855,8.16891314405497,8.16891314405497,7.09483691237122,7.09483691237122,9.99564937756448,9.99564937756448,10.1285973674432,10.1285973674432,10,10,9.99999999999993,9.99999999999993,9.99999999999992,9.99999999999992,9.99999999999992,10,10,6.26425330897194,6.26425330897194,1.18530507970492,1.18530507970492,5.00000000000012,5.00000000000012,5.00000000000012,0.0123517545856717,0.0123517545856717,0.643314404376154,0.643314404376154,1.72449609558102,1.72449609558102,1.72449609558102,1.06525513182306e-13,1.06525513182306e-13,0,0,0,0,0,2.27399100551009,2.27399100551009,5,5,5,5.40736633768722,5.40736633768722,5.99999999999989,5.99999999999989,5.99999999999989,6.94861638765014,6.94861638765014,6.94861638765014,6.07651418399919,6.07651418399919,6.99999999999992,6.99999999999992,6.99999999999992,6.22467945530122,6.22467945530122,6,6,6,5.99999999999988,5.99999999999988,5.99999999999988,5.85737507763157,5.85737507763157,5.99999999999998,5.99999999999998,5.99999999999998,5.49329579968714,5.49329579968714,5.49329579968714,7,7,7,7,7,7.66830075247455,7.66830075247455,7.66830075247455,7.99999999999988,7.99999999999988,7.99999999999988,6.82166608437122,6.82166608437122,6.99999999999989,6.99999999999989,6.99999999999989,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5.99999999999988,5.99999999999988,5.99999999999988,6,6,6,5.96949588641804,5.96949588641804,null,null,null,5.99999999999988,5.99999999999988,5.99999999999988,5,5,5,5.00000000000005,5.00000000000005,5.00000000000005,5.6897885135974,5.6897885135974,5.6897885135974,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.93188799084993e-14,1.93188799084993e-14,0.739946633953589,1,1,1,1.63725388306548,2,2,2,2,3.12506640616501,3.99999999999998,3.99999999999998,4,4,4,4.9593057230714,4.52636165639692,4.52636165639692,4.02139719709522,6,6,5.00000000000003,5.00000000000003,5.00000000000003,5.39014963538708,5.39014963538708,5.0437462476404,5.0437462476404,5.99999999999999,6.00000000000002,6.00000000000002,5.00000000000004,5.00000000000004,4.10186478109934,1.3100895474711,1.3100895474711,0.471383998561273,0.471383998561273,5.29496992677111,5.29496992677111,6.14334013103525,6.14334013103525,6.01658797025148,6.01658797025148,7,7,7,7,5.21365161864575,6.51958597695033,6.51958597695033,7.75839145747188,7.75839145747188,8.78215686223852,8.78215686223852,8.78215686223852,7.16891314405509,7.16891314405509,7.00000000000004,7.00000000000004,9.00435062243545,9.00435062243545,10,10,9.99999999999999,9.99999999999999,9.45197093658714,9.45197093658714,9.34909726313128,9.34909726313128,9.34909726313128,10,10,7.50950220598124,7.50950220598124,1.79020338646995,1.79020338646995,6.00000000000004,6.00000000000004,6.00000000000004,1.01235175458571,1.01235175458571,1.00000000000004,1.00000000000004,1.724496095581,1.724496095581,1.724496095581,0.884491632509801,0.884491632509801,0,0,0,0,0,5,5,5,5,5,5.4073663376872,5.4073663376872,5.06947623966946,5.06947623966946,5.06947623966946,7.00000000000002,7.00000000000002,7.00000000000002,6.0382570919996,6.0382570919996,6.37811584266709,6.37811584266709,6.37811584266709,6.00000000000003,6.00000000000003,6,6,6,5,5,5,6,6,5.81652843756884,5.81652843756884,5.81652843756884,5.49329579968714,5.49329579968714,5.49329579968714,6.99999999999996,6.99999999999996,7,7,7,8,8,8,7,7,7,7.82166608437106,7.82166608437106,6.04813704404307,6.04813704404307,6.04813704404307,5.00000000000004,5.00000000000004,5.00000000000004,5.5,5.5,5.5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,6,6,6,5,5,null,null,null,5,5,5,5,5,5,5.45537649651058,5.45537649651058,5.45537649651058,5.00000000000004,5.00000000000004,5.00000000000004,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.481219581621264,0.481219581621264,1,1,1.00000000000004,1.00000000000004,1.63725388306553,2,2,2,2,3,3.55059187453321,3.55059187453321,4,4,4,4.95930572307128,3.99999999999994,3.99999999999994,4.02139719709534,6,6,5.84619987640152,5.84619987640152,5.76022644416094,5.39014963538715,5.39014963538715,5.00000000000012,5.00000000000012,5.72118561572874,6.42262937974084,6.42262937974084,6,6,5.1018647810994,1.3100895474711,1.3100895474711,1.41415199568376,1.41415199568376,4.29496992677108,4.29496992677108,6,6,6.0165879702516,6.0165879702516,6.99999999999999,6.99999999999999,7,7,5.21365161864575,6.51958597695033,6.51958597695033,8,8,8.00000000000012,8.00000000000012,8.00000000000012,7.16891314405521,7.16891314405521,7.90516308762876,7.90516308762876,9.99999999999988,9.99999999999988,9.99999999999989,9.99999999999989,9.72216649487628,9.72216649487628,9.54802906341279,9.54802906341279,9,9,9,9.87450262459994,9.87450262459994,8.63212665448593,8.63212665448593,3.18530507970511,3.18530507970511,7.00000000000012,7.00000000000012,7.00000000000012,4.96294473624346,4.96294473624346,2.00000000000008,2.00000000000008,1.27550390441907,1.27550390441907,1.27550390441907,0.884491632509694,0.884491632509694,1.84199319001949e-13,1.84199319001949e-13,1.84199319001949e-13,5.98081020643069e-13,5.98081020643069e-13,5.00000000000012,5.00000000000012,5.00000000000001,5.00000000000001,5.00000000000001,5.00000000000007,5.00000000000007,5.93052376033057,5.93052376033057,5.93052376033057,7.52569180617475,7.52569180617475,7.52569180617475,6.00000000000012,6.00000000000012,6.99999999999988,6.99999999999988,6.99999999999988,6.77532054469878,6.77532054469878,6,6,6,5.00000000000006,5.00000000000006,5.00000000000006,5.99999999999988,5.99999999999988,5.81652843756874,5.81652843756874,5.81652843756874,5.49329579968708,5.49329579968708,5.49329579968708,6.00000000000012,6.00000000000012,7,7,7,7.99999999999996,7.99999999999996,7.99999999999996,7.00000000000007,7.00000000000007,7.00000000000007,6.99999999999992,6.99999999999992,7.00000000000012,7.00000000000012,7.00000000000012,6.00000000000021,6.00000000000021,6.00000000000021,5.53213684693884,5.53213684693884,5.53213684693884,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,6,6,6,5.03050411358184,5.03050411358184,5.00000000000001,5.00000000000001,5.00000000000001,null,null,null,5,5,5,5.45537649651058,5.45537649651058,5.45537649651058,6,6,6,5.00000000000002,5.00000000000002,5.00000000000002,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.481219581621264,0.481219581621264,1,1,1.31772658401398,1.31772658401398,2,2,2,2,2,3,3.55059187453321,3.55059187453321,4,4,4,4,3.47363834360306,3.47363834360306,5.01069859854761,6,6,5,5,5.76022644416094,6,6,6,6,6,6,6,6,6,6,1.3100895474711,1.3100895474711,1.88553599424494,1.88553599424494,3.70503007322885,3.70503007322885,6,6,6.98341202974852,6.98341202974852,6.91479486498983,6.91479486498983,7,7,5.21365161864575,6.51958597695033,6.51958597695033,8,8,9,9,9,8.16891314405509,8.16891314405509,7.90516308762876,7.90516308762876,9,9,9.12859736744321,9.12859736744321,9,9,9,9,9,9,9,9.87450262459994,9.87450262459994,8.8773755514953,8.8773755514953,5.39510169323495,5.39510169323495,8,8,8,5.95059298165779,5.95059298165779,2.64331440437611,2.64331440437611,2,2,2,0,0,1.52942475003527,1.52942475003527,1.52942475003527,4.96592452379364,4.96592452379364,6,6,5.09472533596498,5.09472533596498,5.09472533596498,5.59263366231278,5.59263366231278,5.93052376033057,5.93052376033057,5.93052376033057,6,6,6,6.9617429080004,6.9617429080004,6,6,6,7,7,6,6,6,5.48561792971136,5.48561792971136,5.48561792971136,5,5,5,5,5,5,5,5,7,7,7,7,7,7.6683007524745,7.6683007524745,7.6683007524745,7.58310169460759,7.58310169460759,7.58310169460759,6.35666783125781,6.35666783125781,8,8,8,7.73672341949593,7.73672341949593,7.73672341949593,5.53213684693884,5.53213684693884,5.53213684693884,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5.11422067291187,5.11422067291187,5.11422067291187,null,null,null,null,null,null,5.45537649651058,5.45537649651058,5.45537649651058,6,6,6,5.16272331965232,5.16272331965232,5.16272331965232,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.739946633953579,0.999999999999999,1.31772658401395,1.31772658401395,1.36274611693452,1,2,2,2,2.12506640616502,3.55059187453324,3.55059187453324,4,3.53250516942961,3.53250516942961,3,3.47363834360306,3.47363834360306,5,5.57068737388999,5.57068737388999,5,5,5,6.00000000000004,6.00000000000004,6,6,5.27881438427127,5.84525875948177,5.84525875948177,6,6,5.1018647810993,1.31008954747104,1.31008954747104,1.41415199568364,1.41415199568364,4.7050300732288,4.7050300732288,6.14334013103526,6.14334013103526,6,6,5.99999999999992,5.99999999999992,7.16197027328456,7.16197027328456,5.21365161864572,7.51958597695033,7.51958597695033,8.00000000000001,8.00000000000001,8.78215686223854,8.78215686223854,8.78215686223854,8.16891314405509,8.16891314405509,7.9051630876288,7.9051630876288,9,9,9.12859736744318,9.12859736744318,9.72216649487637,9.72216649487637,7.99999999999998,7.99999999999998,9.65090273686871,9.65090273686871,9.65090273686871,9.87450262459997,9.87450262459997,9.7547511029906,9.7547511029906,6.99999999999994,6.99999999999994,7.69174700713512,7.69174700713512,7.69174700713512,5.9752964908289,5.9752964908289,3.28662880875219,3.28662880875219,2.99999999999992,2.99999999999992,2.99999999999992,-2.00728322852247e-13,-2.00728322852247e-13,2.58827425010571,2.58827425010571,2.58827425010571,4.99999999999992,4.99999999999992,6.57533633149675,6.57533633149675,6,6,6,4.99999999999996,4.99999999999996,5,5,5,6.47430819382511,6.47430819382511,6.47430819382511,6,6,6,6,6,6,6,5.15389041184002,5.15389041184002,5.15389041184002,5.48561792971136,5.48561792971136,5.48561792971136,5.85737507763155,5.85737507763155,5,5,5,5.49329579968714,5.49329579968714,5.49329579968714,7.00000000000003,7.00000000000003,7,7,7,7,7,7,7.58310169460759,7.58310169460759,7.58310169460759,7.17833391562894,7.17833391562894,7,7,7,7,7,7,5.99999999999998,5.99999999999998,5.99999999999998,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.88577932708814,5.88577932708814,5.88577932708814,null,null,null,null,null,null,4.99999999999998,4.99999999999998,4.99999999999998,4.99999999999996,4.99999999999996,4.99999999999996,4.99999999999999,4.99999999999999,4.99999999999999,5.01203189590649,5.01203189590649,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.739946633953579,1.01870300224884,2,2,1.36274611693452,1,2,2,2,2.12506640616501,2.99999999999998,2.99999999999998,3.99799513703749,2.99999999999998,2.99999999999998,2.99999999999996,3.47363834360306,3.47363834360306,5,5,5,5,5,5,5,5,6,6,5.99999999999999,6,6,6,6,5.10186478109926,2.65504477373555,2.65504477373555,2.94276799712247,2.94276799712247,6,6,6,6,6.01658797025152,6.01658797025152,7.91479486498979,7.91479486498979,7.16197027328456,7.16197027328456,6,7.5195859769503,7.5195859769503,7.75839145747187,7.75839145747187,8.99999999999996,8.99999999999996,8.99999999999996,8.00000000000001,8.00000000000001,7,7,8.99564937756456,8.99564937756456,10,10,9.72216649487634,9.72216649487634,8.45197093658714,8.45197093658714,9.65090273686871,9.65090273686871,9.65090273686871,9,9,9.7547511029906,9.7547511029906,8.60489830676507,8.60489830676507,7.30825299286491,7.30825299286491,7.30825299286491,5.98764824541445,5.98764824541445,4.00000000000003,4.00000000000003,5,5,5,5,5,5.00000000000002,5.00000000000002,5.00000000000002,6.96592452379364,6.96592452379364,6.57533633149674,6.57533633149674,6,6,6,5.99999999999998,5.99999999999998,5,5,5,5.47430819382507,5.47430819382507,5.47430819382507,6,6,6.00000000000003,6.00000000000003,6.00000000000003,6,6,5.15389041184002,5.15389041184002,5.15389041184002,5.51438207028866,5.51438207028866,5.51438207028866,5.85737507763152,5.85737507763152,5,5,5,5.49329579968712,5.49329579968712,5.49329579968712,6.21250627830519,6.21250627830519,7,7,7,7,7,7,7.58310169460757,7.58310169460757,7.58310169460757,6.1783339156289,6.1783339156289,6.95186295595697,6.95186295595697,6.95186295595697,7,7,7,6.53213684693886,6.53213684693886,6.53213684693886,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.54462350348942,5.54462350348942,5.54462350348942,6,6,6,5.16272331965232,5.16272331965232,5.16272331965232,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.739946633953609,1.01870300224884,2,2,1.36274611693449,0.99999999999996,2,2,2,2,2.55059187453322,2.55059187453322,3,2.53250516942959,2.53250516942959,2,3.47363834360306,3.47363834360306,5.00000000000004,5,5,5.00000000000004,5.00000000000004,5.00000000000004,5.00000000000002,5.00000000000002,5.95625375235959,5.95625375235959,5.72118561572873,6,6,6,6,4.20372956219859,2.65504477373558,2.65504477373558,2.94276799712241,2.94276799712241,6,6,5.99999999999999,5.99999999999999,7,7,7,7,7.16197027328456,7.16197027328456,5.99999999999996,6.75979298847517,6.75979298847517,7.75839145747187,7.75839145747187,7.99999999999997,7.99999999999997,7.99999999999997,8.16891314405509,8.16891314405509,7.09483691237124,7.09483691237124,8.00435062243536,8.00435062243536,10,10,9,9,8.54802906341286,8.54802906341286,9.65090273686871,9.65090273686871,9.65090273686871,9.12549737540007,9.12549737540007,9.8773755514953,9.8773755514953,9.00000000000006,9.00000000000006,7.6165059857298,7.6165059857298,7.6165059857298,5.98764824541445,5.98764824541445,4.64331440437607,4.64331440437607,4.99999999999997,4.99999999999997,4.99999999999997,4.99999999999996,4.99999999999996,5.47057524996471,5.47057524996471,5.47057524996471,6.96592452379364,6.96592452379364,6.57533633149673,6.57533633149673,6.09472533596498,6.09472533596498,6.09472533596498,5.40736633768719,5.40736633768719,4.99999999999996,4.99999999999996,4.99999999999996,5.47430819382505,5.47430819382505,5.47430819382505,6,6,6.62188415733293,6.62188415733293,6.62188415733293,6,6,5.15389041184002,5.15389041184002,5.15389041184002,6.00000000000002,6.00000000000002,6.00000000000002,4.99999999999999,4.99999999999999,5,5,5,4.99999999999996,4.99999999999996,4.99999999999996,5.42501255661046,5.42501255661046,6.93326763586891,6.93326763586891,6.93326763586891,7,7,7,7,7,7,6.17833391562887,6.17833391562887,6.95186295595696,6.95186295595696,6.95186295595696,6.99999999999999,6.99999999999999,6.99999999999999,7,7,7,5.99999999999997,5.99999999999997,5.99999999999997,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.00000000000001,6.00000000000001,6.00000000000001,5.16272331965232,5.16272331965232,5.16272331965232,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.01870300224884,2,2,2,2,2,2,2,2,2.55059187453321,2.55059187453321,3,2.53250516942959,2.53250516942959,2,3.47363834360306,3.47363834360306,4.01069859854761,5,5,4,4,4,4.39014963538707,4.39014963538707,5.95625375235944,5.95625375235944,5,5.99999999999991,5.99999999999991,5.99999999999986,5.99999999999986,4.20372956219859,2.00000000000011,2.00000000000011,4.41415199568386,4.41415199568386,6.00000000000005,6.00000000000005,6.14334013103539,6.14334013103539,7.01658797025148,7.01658797025148,7.08520513501017,7.08520513501017,7,7,7,6.75979298847529,6.75979298847529,7.75839145747187,7.75839145747187,8.78215686223855,8.78215686223855,8.78215686223855,8.16891314405509,8.16891314405509,7.09483691237138,7.09483691237138,9,9,9.99999999999986,9.99999999999986,9,9,8.54802906341285,8.54802906341285,9.65090273686871,9.65090273686871,9.65090273686871,9.00000000000002,9.00000000000002,9.87737555149516,9.87737555149516,7.60489830676505,7.60489830676505,7.30825299286485,7.30825299286485,7.30825299286485,6,6,5.64331440437617,5.64331440437617,5.7244960955809,5.7244960955809,5.7244960955809,5.99999999999986,5.99999999999986,6,6,6,6.96592452379364,6.96592452379364,7,7,6,6,6,6,6,5.93052376033058,5.93052376033058,5.93052376033058,5.99999999999984,5.99999999999984,5.99999999999984,6,6,6.62188415733293,6.62188415733293,6.62188415733293,5.99999999999996,5.99999999999996,5.00000000000014,5.00000000000014,5.00000000000014,5.51438207028864,5.51438207028864,5.51438207028864,5.14262492236845,5.14262492236845,5.00000000000013,5.00000000000013,5.00000000000013,5.99999999999984,5.99999999999984,5.99999999999984,5.21250627830519,5.21250627830519,6.93326763586876,6.93326763586876,6.93326763586876,7,7,7,7,7,7,6.99999999999997,6.99999999999997,7,7,7,7.26327658050415,7.26327658050415,7.26327658050415,7,7,7,6.66269068982578,6.66269068982578,6.66269068982578,6,6,6.99999999999984,6.99999999999984,6.99999999999984,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.68978851359748,5.68978851359748,5.68978851359748,5,5,5,5,5,5.00000000000014,5.00000000000014,5.00000000000014,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.01870300224884,2,2,2,2,2,2,2,2,2.55059187453321,2.55059187453321,3,2.53250516942959,2.53250516942959,2,3.47363834360306,3.47363834360306,4.01069859854761,4.99999999999997,4.99999999999997,4,4,4,4.39014963538707,4.39014963538707,5,5,5,5.42262937974089,5.42262937974089,5.14823099319097,5.14823099319097,4.20372956219852,2.67247761313223,2.67247761313223,5.41415199568371,5.41415199568371,6.29496992677118,6.29496992677118,6.99999999999993,6.99999999999993,7.01658797025148,7.01658797025148,7.08520513501016,7.08520513501016,6.99999999999992,6.99999999999992,7,7.51958597695033,7.51958597695033,7.75839145747187,7.75839145747187,8.78215686223849,8.78215686223849,8.78215686223849,8.16891314405507,8.16891314405507,7.99999999999999,7.99999999999999,8.99999999999992,8.99999999999992,9.1285973674432,9.1285973674432,8.99999999999998,8.99999999999998,8.45197093658714,8.45197093658714,9.65090273686866,9.65090273686866,9.65090273686866,9.12549737540005,9.12549737540005,9,9,7.60489830676513,7.60489830676513,7,7,7,6.00000000000008,6.00000000000008,5.99999999999997,5.99999999999997,5.00000000000002,5.00000000000002,5.00000000000002,5.11550836749027,5.11550836749027,5.99999999999996,5.99999999999996,5.99999999999996,6.96592452379356,6.96592452379356,6.99999999999992,6.99999999999992,5.99999999999992,5.99999999999992,5.99999999999992,5.99999999999997,5.99999999999997,5.99999999999993,5.99999999999993,5.99999999999993,5.00000000000004,5.00000000000004,5.00000000000004,6,6,6.62188415733288,6.62188415733288,6.62188415733288,5.77532054469877,5.77532054469877,5.84610958815999,5.84610958815999,5.84610958815999,5.48561792971132,5.48561792971132,5.48561792971132,5.14262492236844,5.14262492236844,5.81652843756877,5.81652843756877,5.81652843756877,5.00000000000004,5.00000000000004,5.00000000000004,5,5,6,6,6,7,7,7,6.99999999999997,6.99999999999997,6.99999999999997,6.82166608437104,6.82166608437104,7,7,7,7.73672341949587,7.73672341949587,7.73672341949587,7,7,7,6.66269068982573,6.66269068982573,6.66269068982573,6.00000000000007,6.00000000000007,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.68978851359743,5.68978851359743,5.68978851359743,5,5,5,5.01203189590656,5.01203189590656,5.85726206063029,5.85726206063029,5.85726206063029,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.01870300224884,2,2,2.00000000000003,2.00000000000004,2,2,2,2,2.5505918745332,2.5505918745332,3,2.53250516942957,2.53250516942957,1.99999999999996,3.47363834360303,3.47363834360303,4,4.57068737388999,4.57068737388999,4,4,4.00000000000003,4.39014963538712,4.39014963538712,5.00000000000004,5.00000000000004,4.99999999999997,5.42262937974087,5.42262937974087,6.00000000000001,6.00000000000001,3.30559434329793,2.67247761313213,2.67247761313213,5.47138399856117,5.47138399856117,6.70503007322885,6.70503007322885,6.14334013103522,6.14334013103522,7,7,7.00000000000004,7.00000000000004,5.99999999999996,5.99999999999996,7,7.51958597695036,7.51958597695036,7.75839145747186,7.75839145747186,8,8,8,8,8,7.90516308762876,7.90516308762876,8.00435062243536,8.00435062243536,9,9,8.72216649487637,8.72216649487637,8.45197093658714,8.45197093658714,8.99999999999998,8.99999999999998,8.99999999999998,9.00000000000004,9.00000000000004,8.99999999999997,8.99999999999997,8.60489830676505,8.60489830676505,7.00000000000003,7.00000000000003,7.00000000000003,6.98764824541449,6.98764824541449,5.64331440437607,5.64331440437607,5.27550390441898,5.27550390441898,5.27550390441898,6,6,5.52942475003529,5.52942475003529,5.52942475003529,6,6,6.00000000000002,6.00000000000002,4.99999999999996,4.99999999999996,4.99999999999996,5.59263366231278,5.59263366231278,5.06947623966939,5.06947623966939,5.06947623966939,5.52569180617495,5.52569180617495,5.52569180617495,6,6,6,6,6,6.00000000000003,6.00000000000003,6.00000000000004,6.00000000000004,6.00000000000004,4.99999999999998,4.99999999999998,4.99999999999998,5,5,5,5,5,5.49329579968714,5.49329579968714,5.49329579968714,4.99999999999996,4.99999999999996,6,6,6,7.00000000000003,7.00000000000003,7.00000000000003,6.58310169460758,6.58310169460758,6.58310169460758,6.1783339156289,6.1783339156289,7,7,7,6.99999999999999,6.99999999999999,6.99999999999999,7,7,7,6,6,6,6.84856755029937,6.84856755029937,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5.98796810409353,5.98796810409353,5.14273793936963,5.14273793936963,5.14273793936963,6.00000000000003,6.00000000000003,6.00000000000003,null,null,null,null,null,null,null,null,null,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.01870300224884,2,2,1.36274611693452,1,2,2,2,2.12506640616502,3,3,3,3,3,3,4,4,4,4,4,3.99999999999999,3.99999999999999,3.23977355583897,3.39014963538708,3.39014963538708,4.04374624764041,4.04374624764041,5.7211856157287,5.99999999999997,5.99999999999997,5.70353801361809,5.70353801361809,2.20372956219865,5.01743283939673,5.01743283939673,7,7,6.70503007322885,6.70503007322885,7,7,6.99999999999992,6.99999999999992,6.08520513501017,6.08520513501017,6.99999999999992,6.99999999999992,6.99999999999992,6.75979298847518,6.75979298847518,7.99999999999998,7.99999999999998,8,8,8,8.00000000000001,8.00000000000001,7.90516308762877,7.90516308762877,9.0043506224354,9.0043506224354,8.99999999999999,8.99999999999999,8.72216649487625,8.72216649487625,8.45197093658718,8.45197093658718,9.34909726313126,9.34909726313126,9.34909726313126,8,8,9.87737555149523,9.87737555149523,8.60489830676497,8.60489830676497,6.30825299286495,6.30825299286495,6.30825299286495,6.01235175458555,6.01235175458555,6.64331440437603,6.64331440437603,5.27550390441902,5.27550390441902,5.27550390441902,5.88449163250973,5.88449163250973,5,5,5,6,6,5.57533633149673,5.57533633149673,5.90527466403503,5.90527466403503,5.90527466403503,5.59263366231281,5.59263366231281,5.93052376033057,5.93052376033057,5.93052376033057,5.00000000000008,5.00000000000008,5.00000000000008,6,6,6,6,6,5.22467945530129,5.22467945530129,5.00000000000001,5.00000000000001,5.00000000000001,5.48561792971132,5.48561792971132,5.48561792971132,5,5,5,5,5,null,null,null,5.99999999999992,5.99999999999992,5.93326763586884,5.93326763586884,5.93326763586884,6.33169924752549,6.33169924752549,6.33169924752549,6.99999999999997,6.99999999999997,6.99999999999997,6.17833391562897,6.17833391562897,7,7,7,7.26327658050413,7.26327658050413,7.26327658050413,7,7,7,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,5.30245506294885,5.30245506294885,5.30245506294885,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.01870300224884,2,2,1.36274611693452,1,2,2,2,2.12506640616502,3,3,3,3,3,3,4,4,4,4,4,3.84619987640162,3.84619987640162,2.23977355583906,3.39014963538708,3.39014963538708,4.04374624764041,4.04374624764041,5.72118561572871,5.57737062025911,5.57737062025911,4.55530702042728,4.55530702042728,2.8981352189007,5.67247761313223,5.67247761313223,7,7,6.70503007322885,6.70503007322885,7,7,6.01658797025148,6.01658797025148,6.08520513501017,6.08520513501017,6,6,6,7,7,7.75839145747187,7.75839145747187,8,8,8,8.16891314405509,8.16891314405509,8,8,9,9,8.87140263255679,8.87140263255679,7.27783350512363,7.27783350512363,9,9,9,9,9,8,8,9,9,7.60489830676505,7.60489830676505,7,7,7,6,6,5.64331440437611,5.64331440437611,5.72449609558102,5.72449609558102,5.72449609558102,5,5,5,5,5,6,6,5.42466366850326,5.42466366850326,6,6,6,6,6,5.93052376033057,5.93052376033057,5.93052376033057,6,6,6,6,6,6,6,6,5.77532054469875,5.77532054469875,5.15389041184002,5.15389041184002,5.15389041184002,5,5,5,5,5,5,5,5,null,null,null,null,null,5.06673236413109,5.06673236413109,5.06673236413109,6.33169924752549,6.33169924752549,6.33169924752549,6.58310169460759,6.58310169460759,6.58310169460759,7,7,7,7,7,8,8,8,7,7,7,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.01870300224884,2,2,1.36274611693457,1.97751974538466,2,2,2,2,2.55059187453321,2.55059187453321,3,3,3,3,3.99999999999996,3.99999999999996,4,4,4,3.84619987640163,3.84619987640163,3.00000000000008,4.00000000000005,4.00000000000005,4.0437462476404,4.0437462476404,4.99999999999992,3.57737062025911,3.57737062025911,1.00000000000002,1.00000000000002,4.5925408756029,5.67247761313231,5.67247761313231,7,7,6.99999999999998,6.99999999999998,6,6,6,6,5.08520513501008,5.08520513501008,5,5,6,7,7,7.75839145747189,7.75839145747189,8,8,8,8,8,8.99999999999992,8.99999999999992,9.99564937756452,9.99564937756452,8.87140263255671,8.87140263255671,7.27783350512369,7.27783350512369,9.4519709365871,9.4519709365871,9.34909726313126,9.34909726313126,9.34909726313126,8.99999999999993,8.99999999999993,8.99999999999992,8.99999999999992,7.60489830676505,7.60489830676505,7.00000000000006,7.00000000000006,7.00000000000006,6.00000000000016,6.00000000000016,6.64331440437616,6.64331440437616,6,6,6,5.88449163250973,5.88449163250973,6,6,6,5.03407547620636,5.03407547620636,5.57533633149678,5.57533633149678,5.09472533596504,5.09472533596504,5.09472533596504,5.59263366231273,5.59263366231273,5,5,5,6,6,6,5.03825709199967,5.03825709199967,5.99999999999995,5.99999999999995,5.99999999999995,5.99999999999994,5.99999999999994,5.99999999999993,5.99999999999993,5.99999999999993,5.48561792971132,5.48561792971132,5.48561792971132,5.00000000000008,5.00000000000008,null,null,null,null,null,null,null,null,null,null,null,5.66830075247445,5.66830075247445,5.66830075247445,6.41689830539241,6.41689830539241,6.41689830539241,6.99999999999993,6.99999999999993,7.00000000000008,7.00000000000008,7.00000000000008,6.99999999999996,6.99999999999996,6.99999999999996,6,6,6,6.99999999999992,6.99999999999992,6.99999999999992,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.69754493705113,5.69754493705113,5.69754493705113,5.99999999999992,5.99999999999992,5.99999999999992,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.01870300224884,2,2,2,2,2,2,2,2,2.55059187453321,2.55059187453321,3,3,3,3,3.47363834360306,3.47363834360306,4,4,4,4,4,4,4.60985036461293,4.60985036461293,4,4,4,3.57737062025911,3.57737062025911,1.29646198638181,1.29646198638181,5.69440565670211,6.67247761313223,6.67247761313223,7,7,6.70503007322885,6.70503007322885,6,6,5.96682405949704,5.96682405949704,4,4,5,5,6,7,7,8,8,8,8,8,8,8,8,8,9,9,7.87140263255679,7.87140263255679,8,8,9,9,9,9,9,8.12549737540006,8.12549737540006,8,8,7.60489830676505,7.60489830676505,7.69174700713511,7.69174700713511,7.69174700713511,8,8,7.28662880875222,7.28662880875222,6,6,6,5,5,6,6,6,5.03407547620636,5.03407547620636,6,6,5.90527466403502,5.90527466403502,5.90527466403502,5,5,5,5,5,6,6,6,6,6,5.37811584266707,5.37811584266707,5.37811584266707,5.22467945530125,5.22467945530125,5.15389041184002,5.15389041184002,5.15389041184002,5,5,5,6,6,null,null,null,null,null,null,null,null,null,null,null,5,5,5,6.41689830539241,6.41689830539241,6.41689830539241,6.1783339156289,6.1783339156289,8,8,8,6.52655316100815,6.52655316100815,6.52655316100815,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.69754493705113,5.69754493705113,5.69754493705113,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.999999999999882,1,1,1.63725388306548,2,2,2,2,2,2.55059187453315,2.55059187453315,2.99999999999988,2.99999999999994,2.99999999999994,3,4,4,4,4,4,4,4,4,4,4,3.99999999999976,3.99999999999976,3.27881438427114,2.57737062025894,2.57737062025894,1.44469297957282,1.44469297957282,5.79627043780141,6,6,6.47138399856124,6.47138399856124,6.29496992677111,6.29496992677111,5.99999999999974,5.99999999999974,4.95023608924532,4.95023608924532,2.91479486498971,2.91479486498971,4.83802972671544,4.83802972671544,6,6.24020701152493,6.24020701152493,8,8,8,8,8,8,8,9,9,8.99999999999988,8.99999999999988,8,8,8.00000000000003,8.00000000000003,9.00000000000007,9.00000000000007,8.9999999999998,8.9999999999998,8.9999999999998,8,8,7.99999999999999,7.99999999999999,7.60489830676498,7.60489830676498,7.3082529928649,7.3082529928649,7.3082529928649,8,8,7.64331440437611,7.64331440437611,5.99999999999991,5.99999999999991,5.99999999999991,5.11550836749029,5.11550836749029,5.00000000000006,5.00000000000006,5.00000000000006,5.03407547620647,5.03407547620647,6,6,5.90527466403502,5.90527466403502,5.90527466403502,5.40736633768717,5.40736633768717,5.00000000000001,5.00000000000001,5.00000000000001,5.52569180617499,5.52569180617499,5.52569180617499,5.99999999999988,5.99999999999988,5.37811584266714,5.37811584266714,5.37811584266714,5.99999999999991,5.99999999999991,5.15389041184012,5.15389041184012,5.15389041184012,5.4856179297113,5.4856179297113,5.4856179297113,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000012,5.00000000000012,5.00000000000012,5.99999999999995,5.99999999999995,5.99999999999995,6.1783339156289,6.1783339156289,8,8,8,7.00000000000003,7.00000000000003,7.00000000000003,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.30245506294883,5.30245506294883,5.30245506294883,5.00000000000012,5.00000000000012,5.00000000000012,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0187030022488372,1,1,1.63725388306548,2,2,2,2,2,2,2,2,2.46749483057041,2.46749483057041,3,4,4,3.99999999999996,3.99999999999996,3.99999999999996,3.99999999999996,3.99999999999996,3.99999999999999,3.99999999999996,3.99999999999996,2,2,1.99999999999997,1.1547412405182,1.1547412405182,2.29646198638184,2.29646198638184,5.79627043780137,6,6,6.52861600143876,6.52861600143876,5.99999999999997,5.99999999999997,3.85665986896471,3.85665986896471,2.96682405949704,2.96682405949704,1.91479486498983,1.91479486498983,4.83802972671544,4.83802972671544,6,7,7,7.99999999999999,7.99999999999999,8,8,8,8,8,9,9,8.0043506224354,8.0043506224354,8,8,8.27783350512363,8.27783350512363,9.54802906341282,9.54802906341282,7.34909726313128,7.34909726313128,7.34909726313128,8,8,7.8773755514953,7.8773755514953,7,7,7.30825299286489,7.30825299286489,7.30825299286489,7.98764824541445,7.98764824541445,7.64331440437612,7.64331440437612,5.27550390441898,5.27550390441898,5.27550390441898,5.88449163250981,5.88449163250981,5.47057524996473,5.47057524996473,5.47057524996473,6,6,5.99999999999998,5.99999999999998,5.90527466403502,5.90527466403502,5.90527466403502,5.00000000000002,5.00000000000002,5.06947623966947,5.06947623966947,5.06947623966947,5.99999999999996,5.99999999999996,5.99999999999996,5.00000000000004,5.00000000000004,6,6,6,5.22467945530124,5.22467945530124,5.99999999999997,5.99999999999997,5.99999999999997,5.00000000000004,5.00000000000004,5.00000000000004,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5.58310169460761,5.58310169460761,5.58310169460761,6.1783339156289,6.1783339156289,8,8,8,7.26327658050407,7.26327658050407,7.26327658050407,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,5,5,5,5.99999999999998,5.99999999999998,5.99999999999998,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0187030022488372,1,1,1.63725388306548,2,2,2,2,2,2,2,2,2.46749483057041,2.46749483057041,3,4,4,3.00000000000008,3.00000000000008,3.00000000000008,3.00000000000008,3.00000000000008,3.76022644416096,3.00000000000008,3.00000000000008,2,2,1.27881438427135,0.577370620259158,0.577370620259158,2.99999999999994,2.99999999999994,4.79627043780149,6,6,6.47138399856124,6.47138399856124,5.29496992677121,5.29496992677121,2.85665986896483,2.85665986896483,2.96682405949704,2.96682405949704,1.91479486498983,1.91479486498983,4.83802972671544,4.83802972671544,6,7,7,7.75839145747189,7.75839145747189,8,8,8,8,8,9,9,8,8,8,8,8.27783350512363,8.27783350512363,8.54802906341294,8.54802906341294,7.00000000000003,7.00000000000003,7.00000000000003,8,8,7.99999999999999,7.99999999999999,7,7,7.3082529928649,7.3082529928649,7.3082529928649,8,8,7.99999999999997,7.99999999999997,5.27550390441898,5.27550390441898,5.27550390441898,5.99999999999999,5.99999999999999,5.47057524996473,5.47057524996473,5.47057524996473,6,6,5.57533633149678,5.57533633149678,5.90527466403502,5.90527466403502,5.90527466403502,5.40736633768719,5.40736633768719,5.99999999999993,5.99999999999993,5.99999999999993,5.00000000000008,5.00000000000008,5.00000000000008,5.99999999999992,5.99999999999992,6,6,6,5.00000000000002,5.00000000000002,5.15389041184009,5.15389041184009,5.15389041184009,5.99999999999992,5.99999999999992,5.99999999999992,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999997,5.99999999999997,5.99999999999997,6.00000000000001,6.00000000000001,7.95186295595697,7.95186295595697,7.95186295595697,7.26327658050407,7.26327658050407,7.26327658050407,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,5,5,5,5.53201923462428,5.53201923462428,5.53201923462428,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.018703002248835,0.999999999999918,0.999999999999918,1.63725388306541,2,2,2,2,2,2,2,2,2,2,2.9593057230714,3,3,2,1.42931262610986,1.42931262610986,0,0,0,0.390149635387028,0.390149635387028,1.95625375235948,1.95625375235948,0.278814384271295,0.422629379740991,0.422629379740991,1.99999999999991,1.99999999999991,4.69440565670223,6,6,6,6,4.99999999999996,4.99999999999996,4,4,2.98341202974852,2.98341202974852,2.91479486498983,2.91479486498983,4.99999999999998,4.99999999999998,6,6.75979298847526,6.75979298847526,7.75839145747187,7.75839145747187,8,8,8,8.99999999999998,8.99999999999998,8.09483691237133,8.09483691237133,8,8,7.99999999999989,7.99999999999989,8,8,8.54802906341286,8.54802906341286,8,8,8,8.0000000000001,8.0000000000001,8.00000000000009,8.00000000000009,7.00000000000007,7.00000000000007,7.69174700713506,7.69174700713506,7.69174700713506,7.99999999999988,7.99999999999988,8.00000000000004,8.00000000000004,5.27550390441907,5.27550390441907,5.27550390441907,5.11550836749029,5.11550836749029,5.52942475003521,5.52942475003521,5.52942475003521,5.99999999999999,5.99999999999999,5,5,5.00000000000011,5.00000000000011,5.00000000000011,5.40736633768724,5.40736633768724,5.06947623966943,5.06947623966943,5.06947623966943,5,5,5,5.9617429080004,5.9617429080004,5.00000000000005,5.00000000000005,5.00000000000005,5.22467945530122,5.22467945530122,5.99999999999998,5.99999999999998,5.99999999999998,5.48561792971136,5.48561792971136,5.48561792971136,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,6,6,6,5.99999999999988,5.99999999999988,6.99999999999988,6.99999999999988,6.99999999999988,6,6,6,6.00000000000012,6.00000000000012,6.00000000000012,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.317726584013978,0.317726584013978,1,1.97751974538465,2,2,2,1.99999999999999,1.99999999999998,1.99999999999998,2,2,2,2.95930572307136,2.99999999999996,2.99999999999996,1.97860280290474,0,0,0,0,3.05197958248708e-14,4.01456645704494e-14,4.01456645704494e-14,1,1,0.278814384271324,1.26788813922272,1.26788813922272,1.29646198638185,1.29646198638185,5.69440565670208,5.99999999999996,5.99999999999996,5.99999999999994,5.99999999999994,4.70503007322882,4.70503007322882,3.99999999999995,3.99999999999995,2.98341202974844,2.98341202974844,2.91479486498983,2.91479486498983,4.83802972671544,4.83802972671544,6.00000000000004,7.5195859769503,7.5195859769503,7.75839145747187,7.75839145747187,8,8,8,8.83108685594488,8.83108685594488,8.90516308762873,8.90516308762873,8,8,7.12859736744317,7.12859736744317,7.99999999999997,7.99999999999997,8.54802906341284,8.54802906341284,8,8,8,8.8745026245999,8.8745026245999,8.75475110299056,8.75475110299056,7.60489830676507,7.60489830676507,7.30825299286492,7.30825299286492,7.30825299286492,7.01235175458559,7.01235175458559,8.3566855956239,8.3566855956239,6,6,6,5.8844916325098,5.8844916325098,5,5,5,5.96592452379364,5.96592452379364,5.00000000000004,5.00000000000004,5.90527466403499,5.90527466403499,5.90527466403499,5.59263366231278,5.59263366231278,5.06947623966943,5.06947623966943,5.06947623966943,5,5,5,5.96174290800037,5.96174290800037,5.37811584266708,5.37811584266708,5.37811584266708,5.00000000000004,5.00000000000004,5.84610958815999,5.84610958815999,5.84610958815999,5.48561792971136,5.48561792971136,5.48561792971136,null,null,null,null,null,5.00000000000002,5.00000000000002,5.00000000000002,6,6,null,null,null,null,null,null,null,null,null,5,5,6,6,6,6,6,6,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5.5,5.5,5.5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000004,5.00000000000004,5.00000000000004,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.317726584013939,0.317726584013939,0.999999999999956,1.97751974538465,2,2,2,1.87493359383498,1.55059187453321,1.55059187453321,2,1.99999999999994,1.99999999999994,2,2,2,0.989301401452388,0,0,0,0,0.760226444161036,1,1,1.00000000000012,1.00000000000012,1.00000000000009,2.57737062025911,2.57737062025911,2.14823099319091,2.14823099319091,4.79627043780141,5,5,4.5286160014387,4.5286160014387,3.99999999999996,3.99999999999996,2.85665986896452,2.85665986896452,1.0165879702516,1.0165879702516,2.91479486498995,2.91479486498995,4.83802972671546,4.83802972671546,7,6.75979298847516,6.75979298847516,7.75839145747177,7.75839145747177,8,8,8,7.99999999999988,7.99999999999988,8,8,8,8,6.12859736744319,6.12859736744319,7.27783350512372,7.27783350512372,8,8,8,8,8,8.0000000000001,8.0000000000001,7.87737555149531,7.87737555149531,8,8,8,8,8,7.99999999999988,7.99999999999988,8.64331440437611,8.64331440437611,6,6,6,5.8844916325098,5.8844916325098,5.00000000000006,5.00000000000006,5.00000000000006,5.96592452379353,5.96592452379353,5.99999999999988,5.99999999999988,5.09472533596507,5.09472533596507,5.09472533596507,5.59263366231283,5.59263366231283,5.06947623966942,5.06947623966942,5.06947623966942,5.00000000000012,5.00000000000012,5.00000000000012,5,5,5.62188415733286,5.62188415733286,5.62188415733286,6,6,5.9999999999999,5.9999999999999,5.9999999999999,5.51438207028858,5.51438207028858,5.51438207028858,null,null,null,null,null,5.49329579968708,5.49329579968708,5.49329579968708,5.99999999999988,5.99999999999988,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5.00000000000009,5.00000000000009,5.00000000000009,5.5991020456264,5.5991020456264,5.5991020456264,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999994,5.99999999999994,5.99999999999994,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.637253883065484,1.97751974538465,2,2,2,1.87493359383491,1.55059187453321,1.55059187453321,2,1.46749483057041,1.46749483057041,2,2,2,0.989301401452309,0,0,0,0,1.52045288832183,1,1,1.95625375235951,1.95625375235951,1.72118561572868,2.57737062025908,2.57737062025908,2.14823099319091,2.14823099319091,4.79627043780141,5,5,4,4,3.70503007322879,3.70503007322879,0.999999999999931,0.999999999999931,2.01658797025156,2.01658797025156,3.91479486498984,3.91479486498984,5.00000000000007,5.00000000000007,7,6.75979298847516,6.75979298847516,7,7,7.99999999999998,7.99999999999998,7.99999999999998,7.00000000000007,7.00000000000007,8,8,8,8,6,6,8,8,8,8,8,8,8,8.87450262459994,8.87450262459994,8.00000000000001,8.00000000000001,7.99999999999997,7.99999999999997,8,8,8,7.02470350917118,7.02470350917118,8.64331440437603,8.64331440437603,6,6,6,5.88449163250973,5.88449163250973,5.47057524996477,5.47057524996477,5.47057524996477,5.03407547620643,5.03407547620643,5,5,5.90527466403503,5.90527466403503,5.90527466403503,5.99999999999995,5.99999999999995,5.00000000000008,5.00000000000008,5.00000000000008,5.99999999999992,5.99999999999992,5.99999999999992,5,5,5.00000000000005,5.00000000000005,5.00000000000005,5.99999999999992,5.99999999999992,5.15389041184002,5.15389041184002,5.15389041184002,5,5,5,5.50000000000003,5.50000000000003,null,null,null,5.00000000000004,5.00000000000004,5.00000000000004,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5.74227406062198,5.74227406062198,5.74227406062198,5.59910204562636,5.59910204562636,5.59910204562636,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.5320192346242,5.5320192346242,5.5320192346242,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.637253883065484,1.97751974538465,2,2,2,1,1.55059187453321,1.55059187453321,2,1.46749483057041,1.46749483057041,2,2,2,0,0,0,0,0,0.760226444160944,1,1,0.956253752359593,0.956253752359593,1.44237123145741,2.15474124051822,2.15474124051822,2.14823099319091,2.14823099319091,4.79627043780141,5,5,4,4,3,3,0.143340131035251,0.143340131035251,3.01658797025148,3.01658797025148,4,4,5.83802972671544,5.83802972671544,7,6.75979298847516,6.75979298847516,7,7,7.78215686223855,7.78215686223855,7.78215686223855,7.83108685594491,7.83108685594491,8,8,8,8,6,6,8,8,8,8,8,8,8,8.87450262459994,8.87450262459994,8.1226244485047,8.1226244485047,7.60489830676505,7.60489830676505,8,8,8,8.01235175458555,8.01235175458555,7.64331440437611,7.64331440437611,6,6,6,5,5,6,6,6,5.96592452379364,5.96592452379364,5,5,6,6,6,5.40736633768722,5.40736633768722,6,6,6,5,5,5,5.0382570919996,5.0382570919996,5.62188415733293,5.62188415733293,5.62188415733293,5,5,5.15389041184002,5.15389041184002,5.15389041184002,5,5,5,5.85737507763155,5.85737507763155,null,null,null,5.49329579968714,5.49329579968714,5.49329579968714,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,5,5,5,5,5.5,5.5,5.5,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.317726584013978,0.317726584013978,1,1,1,1,1,1,1.55059187453323,1.55059187453323,2,2,2,2,1.5263616563969,1.5263616563969,0,0,0,0,0,0,0,0,0.0874924952808555,0.0874924952808555,2.7211856157287,1.15474124051818,1.15474124051818,3.14823099319091,3.14823099319091,4.8981352189007,4.99999999999997,4.99999999999997,3.52861600143877,3.52861600143877,2.70503007322885,2.70503007322885,0.286680262070502,0.286680262070502,4.01658797025148,4.01658797025148,5,5,5.83802972671545,5.83802972671545,6.21365161864574,6.75979298847516,6.75979298847516,7,7,7,7,7,7.99999999999997,7.99999999999997,7,7,8,8,6.8714026325568,6.8714026325568,6.99999999999997,6.99999999999997,8.45197093658711,8.45197093658711,8.65090273686869,8.65090273686869,8.65090273686869,8.99999999999996,8.99999999999996,8.8773755514953,8.8773755514953,7.99999999999998,7.99999999999998,7.30825299286488,7.30825299286488,7.30825299286488,7.02470350917114,7.02470350917114,7.64331440437611,7.64331440437611,6.72449609558099,6.72449609558099,6.72449609558099,6,6,6,6,6,5.99999999999996,5.99999999999996,5.99999999999998,5.99999999999998,5.90527466403503,5.90527466403503,5.90527466403503,5.00000000000004,5.00000000000004,5.06947623966946,5.06947623966946,5.06947623966946,5.99999999999998,5.99999999999998,5.99999999999998,5.0382570919996,5.0382570919996,5.99999999999996,5.99999999999996,5.99999999999996,5.99999999999996,5.99999999999996,5.84610958815995,5.84610958815995,5.84610958815995,5.51438207028864,5.51438207028864,5.51438207028864,6,6,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,5,5.00000000000004,5.00000000000004,5.00000000000004,5.3102114864025,5.3102114864025,5.3102114864025,null,null,null,null,null,null,null,null,null,null,null,5.53201923462424,5.53201923462424,5.53201923462424,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.317726584013978,0.317726584013978,1,1,1,1,1,1.12506640616502,2,2,1.99999999999996,2,2,2,0.526361656396945,0.526361656396945,0,0,0,0,0,0,0,0,1.13123874292119,1.13123874292119,2.55762876854267,-1.69667373166948e-14,-1.69667373166948e-14,3.14823099319091,3.14823099319091,4.89813521890074,4.32752238686779,4.32752238686779,3.52861600143876,3.52861600143876,2.70503007322886,2.70503007322886,0.286680262070456,0.286680262070456,4.01658797025144,4.01658797025144,5,5,6,6,6,6.75979298847517,6.75979298847517,7,7,7,7,7,7.16891314405505,7.16891314405505,7,7,8,8,7.00000000000001,7.00000000000001,6.27783350512363,6.27783350512363,7.90394187317429,7.90394187317429,8.34909726313132,8.34909726313132,8.34909726313132,8.12549737540007,8.12549737540007,8.87737555149533,8.87737555149533,7.60489830676508,7.60489830676508,7.00000000000003,7.00000000000003,7.00000000000003,8.01235175458555,8.01235175458555,7.64331440437614,7.64331440437614,5.99999999999996,5.99999999999996,5.99999999999996,6,6,6,6,6,5.03407547620636,5.03407547620636,5.42466366850323,5.42466366850323,6,6,6,6,6,5.93052376033057,5.93052376033057,5.93052376033057,5.52569180617493,5.52569180617493,5.52569180617493,5.0382570919996,5.0382570919996,4.99999999999996,4.99999999999996,4.99999999999996,4.99999999999999,4.99999999999999,4.99999999999999,4.99999999999999,4.99999999999999,5.51438207028864,5.51438207028864,5.51438207028864,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,5,6.00000000000004,6.00000000000004,6.00000000000004,5,5,5,null,null,null,null,null,null,null,null,6,6,6,5.53201923462425,5.53201923462425,5.53201923462425,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.317726584013952,0.317726584013952,0.999999999999971,1,1,1,1,1.12506640616502,2,2,2.99799513703753,2,2,2,0.526361656396945,0.526361656396945,0,0,0,1.23488163457464e-14,1.23488163457464e-14,1.92517374911542e-14,0,0,1.99999999999992,1.99999999999992,0.557628768542545,0.422629379740969,0.422629379740969,3.14823099319091,3.14823099319091,4,4,4,3.52861600143876,3.52861600143876,2.41006014645764,2.41006014645764,1.4300203931059,1.4300203931059,5,5,5,5,6,6,6,6.75979298847516,6.75979298847516,7,7,7,7,7,7.99999999999993,7.99999999999993,7,7,8,8,6.87140263255679,6.87140263255679,6.27783350512363,6.27783350512363,7.45197093658718,7.45197093658718,7.65090273686874,7.65090273686874,7.65090273686874,8,8,7.99999999999992,7.99999999999992,7,7,6.30825299286495,6.30825299286495,6.30825299286495,8,8,7,7,6.99999999999992,6.99999999999992,6.99999999999992,6.00000000000007,6.00000000000007,6,6,6,5.03407547620643,5.03407547620643,6,6,5.90527466403503,5.90527466403503,5.90527466403503,5.99999999999997,5.99999999999997,6,6,6,5.52569180617493,5.52569180617493,5.52569180617493,5.00000000000008,5.00000000000008,5.99999999999995,5.99999999999995,5.99999999999995,5.22467945530125,5.22467945530125,5.15389041184001,5.15389041184001,5.15389041184001,5.5143820702886,5.5143820702886,5.5143820702886,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,5.11422067291187,5.11422067291187,5.11422067291187,5,5,5,5,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,6,6,6,5.46798076537576,5.46798076537576,5.46798076537576,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.637253883065484,1,1,1,1,1.12506640616502,2,2,2.99799513703753,2,2,2,0.526361656396945,0.526361656396945,0,0,0,0.15380012359838,0.15380012359838,0.239773555839056,0,0,0.956253752359593,0.956253752359593,0,1.42262937974089,1.42262937974089,3.14823099319091,3.14823099319091,4,4,4,3.52861600143877,3.52861600143877,1.70503007322885,1.70503007322885,3.2866802620705,3.2866802620705,5,5,5,5,6,6,6,6.75979298847516,6.75979298847516,7,7,7,7,7,7.16891314405509,7.16891314405509,7,7,7.9956493775646,7.9956493775646,6.87140263255679,6.87140263255679,6.27783350512363,6.27783350512363,8,8,8,8,8,8,8,7,7,7,7,7,7,7,7.98764824541445,7.98764824541445,7,7,6,6,6,6.8844916325098,6.8844916325098,6,6,6,5.96592452379364,5.96592452379364,6,6,6,6,6,5.59263366231278,5.59263366231278,6,6,6,5.52569180617493,5.52569180617493,5.52569180617493,6,6,5.37811584266707,5.37811584266707,5.37811584266707,5.22467945530125,5.22467945530125,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,5.11422067291188,5.11422067291188,5.11422067291188,5,5,5,5,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,6,6,6,5.46798076537576,5.46798076537576,5.46798076537576,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.637253883065433,0.999999999999998,1,1,1,1.12506640616502,2,2,2.99799513703745,1.99999999999996,1.99999999999996,1.99999999999992,0.526361656396902,0.526361656396902,0,0,0,0.307600247196815,0.307600247196815,0.479547111678092,0,0,0,0,1.15809903288292e-13,2.00000000000003,2.00000000000003,3.14823099319089,3.14823099319089,3.99999999999999,4,4,3.52861600143876,3.52861600143876,2.00000000000008,2.00000000000008,5,5,5,5,5.00000000000007,5.00000000000007,6,6,6,6.75979298847516,6.75979298847516,7,7,7,7,7,7.16891314405514,7.16891314405514,7,7,7.00435062243548,7.00435062243548,6.87140263255671,6.87140263255671,7,7,7.99999999999992,7.99999999999992,7.99999999999984,7.99999999999984,7.99999999999984,6.99999999999992,6.99999999999992,6.00000000000001,6.00000000000001,7.00000000000005,7.00000000000005,7,7,7,7.01235175458555,7.01235175458555,6.64331440437614,6.64331440437614,6.27550390441902,6.27550390441902,6.27550390441902,6.88449163250974,6.88449163250974,6.00000000000004,6.00000000000004,6.00000000000004,6,6,6.00000000000008,6.00000000000008,6,6,6,5.59263366231281,5.59263366231281,5.0694762396695,5.0694762396695,5.0694762396695,5.99999999999996,5.99999999999996,5.99999999999996,6,6,5.99999999999997,5.99999999999997,5.99999999999997,5.00000000000002,5.00000000000002,5.99999999999999,5.99999999999999,5.99999999999999,5.00000000000008,5.00000000000008,5.00000000000008,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.03050411358184,5.03050411358184,5.00000000000007,5.00000000000007,5.00000000000007,5.00000000000002,5.00000000000002,5.00000000000002,5,5,5,5.45537649651058,5.45537649651058,5.45537649651058,5,5,5,null,null,null,null,null,null,null,null,6,6,6,5.4679807653758,5.4679807653758,5.4679807653758,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.977519745384654,1,1,1,1.12506640616501,1.99999999999996,1.99999999999996,2,1.53250516942959,1.53250516942959,0.999999999999923,0,0,0,0,0,0.99999999999992,0.99999999999992,0.239773555839036,0,0,0,0,1.44237123145741,2.42262937974089,2.42262937974089,3,3,3.8981352189007,4,4,3.52861600143876,3.52861600143876,3,3,5,5,5,5,5.91479486498983,5.91479486498983,6,6,6,6.75979298847516,6.75979298847516,7,7,7,7,7,7.83108685594484,7.83108685594484,7,7,7.9956493775646,7.9956493775646,5.87140263255679,5.87140263255679,6.99999999999994,6.99999999999994,7,7,6,6,6,6,6,6.1226244485047,6.1226244485047,7.60489830676497,7.60489830676497,7,7,7,7.01235175458555,7.01235175458555,7.00000000000005,7.00000000000005,6.72449609558098,6.72449609558098,6.72449609558098,6.1155083674902,6.1155083674902,6.47057524996477,6.47057524996477,6.47057524996477,6,6,6.99999999999992,6.99999999999992,6,6,6,6,6,5.93052376033058,5.93052376033058,5.93052376033058,5.47430819382511,5.47430819382511,5.47430819382511,5.99999999999992,5.99999999999992,5.62188415733291,5.62188415733291,5.62188415733291,5.22467945530131,5.22467945530131,5.84610958815991,5.84610958815991,5.84610958815991,5.99999999999992,5.99999999999992,5.99999999999992,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5.88577932708805,5.88577932708805,5.88577932708805,5.25772593937794,5.25772593937794,5.25772593937794,5,5,5,5.45537649651054,5.45537649651054,5.45537649651054,5.00000000000008,5.00000000000008,5.00000000000008,null,null,null,null,null,null,null,null,null,null,null,5.99999999999992,5.99999999999992,5.99999999999992,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.977519745384654,1,1,1,1,1.55059187453321,1.55059187453321,2,1.53250516942959,1.53250516942959,0.0406942769286003,0,0,0,0,0,0,0,0,0,0,0,0,1.44237123145741,2.42262937974089,2.42262937974089,3,3,3.8981352189007,4,4,3.52861600143877,3.52861600143877,3,3,5,5,5,5,5.91479486498983,5.91479486498983,6,6,6,6.75979298847516,6.75979298847516,7,7,7,7,7,7,7,7,7,7.9956493775646,7.9956493775646,5.87140263255679,5.87140263255679,6.27783350512363,6.27783350512363,7,7,6,6,6,6,6,6.1226244485047,6.1226244485047,6.60489830676505,6.60489830676505,7,7,7,7,7,7.64331440437611,7.64331440437611,6.27550390441898,6.27550390441898,6.27550390441898,6.1155083674902,6.1155083674902,7,7,7,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,5.0382570919996,5.0382570919996,5.37811584266707,5.37811584266707,5.37811584266707,6,6,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.977519745384654,1,1,1,1,1.55059187453321,1.55059187453321,1.00200486296247,0.532505169429543,0.532505169429543,0,0,0,0,0,0,0,0,0,3.13256327890603e-14,3.13256327890603e-14,0.999999999999923,0.999999999999923,1.72118561572871,3,3,3,3,3.89813521890078,4.32752238686777,4.32752238686777,3.00000000000008,3.00000000000008,4.00000000000008,4.00000000000008,5,5,5.01658797025148,5.01658797025148,6,6,5.99999999999993,5.99999999999993,6,6,6,5.99999999999998,5.99999999999998,6,6,6,7,7,7.90516308762869,7.90516308762869,7.9956493775646,7.9956493775646,6.87140263255672,6.87140263255672,6.27783350512363,6.27783350512363,6.54802906341286,6.54802906341286,6.34909726313129,6.34909726313129,6.34909726313129,6,6,7.12262444850462,7.12262444850462,6.99999999999992,6.99999999999992,7,7,7,7,7,7.35668559562391,7.35668559562391,7,7,7,6.11550836749026,6.11550836749026,6.99999999999992,6.99999999999992,6.99999999999992,6.03407547620643,6.03407547620643,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,5.37811584266707,5.37811584266707,5.37811584266707,5.00000000000002,5.00000000000002,5.99999999999999,5.99999999999999,5.99999999999999,5.5143820702886,5.5143820702886,5.5143820702886,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5.99999999999992,5.99999999999992,5.99999999999992,5,5,5,5.00000000000004,5.00000000000004,5.00000000000004,6,6,6,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.977519745384614,1,1,1,1,1.55059187453319,1.55059187453319,1.00200486296243,0,0,0,0,0,0,0,0,0,0,0,0.390149635387059,0.390149635387059,0.0437462476404469,0.0437462476404469,1.72118561572875,3,3,3,3,4.79627043780137,4.32752238686778,4.32752238686778,4,4,5,5,5.00000000000001,5.00000000000001,5.01658797025148,5.01658797025148,6,6,5.16197027328459,5.16197027328459,6,5.99999999999997,5.99999999999997,5.75839145747184,5.75839145747184,5.99999999999996,5.99999999999996,5.99999999999996,7,7,7,7,7.9956493775646,7.9956493775646,6,6,6.27783350512366,6.27783350512366,6.45197093658716,6.45197093658716,6.34909726313128,6.34909726313128,6.34909726313128,6,6,6.1226244485047,6.1226244485047,6.00000000000002,6.00000000000002,7,7,7,7.01235175458555,7.01235175458555,7.6433144043761,7.6433144043761,7.00000000000004,7.00000000000004,7.00000000000004,6.88449163250981,6.88449163250981,6.00000000000004,6.00000000000004,6.00000000000004,6.96592452379361,6.96592452379361,6.00000000000002,6.00000000000002,6,6,6,6,6,6,6,6,6,6,6,5.96174290800037,5.96174290800037,5.37811584266705,5.37811584266705,5.37811584266705,5.22467945530125,5.22467945530125,5.84610958815995,5.84610958815995,5.84610958815995,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999999,5.99999999999999,5.99999999999999,5,5,5,5,5,5,5,5,5,5,5,5.45537649651056,5.45537649651056,5.45537649651056,6,6,6,null,null,null,null,null,null,null,null,null,null,null,5.00000000000004,5.00000000000004,5.00000000000004,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.50000000000002,6.50000000000002,6.00000000000004,6.00000000000004,6.00000000000004,null,null,null,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7.67489419072776e-14,1.20436993711329e-13,0.99999999999992,0.99999999999992,1,1,1,1,0.00200486296246595,0,0,0,0,0,0,0,0,0,0,0,0,0,1.04374624764053,1.04374624764053,2.72118561572874,3,3,3,3,3.8981352189007,4.32752238686774,4.32752238686774,4.00000000000006,4.00000000000006,5,5,5.14334013103535,5.14334013103535,5.0165879702516,5.0165879702516,6,6,6,6,6,5.24020701152483,5.24020701152483,4.99999999999991,4.99999999999991,4.99999999999997,4.99999999999997,4.99999999999997,7,7,7,7,7.99564937756448,7.99564937756448,6.00000000000001,6.00000000000001,7,7,7,7,6,6,6,6,6,6.12262444850481,6.12262444850481,6.39510169323502,6.39510169323502,7,7,7,7.01235175458567,7.01235175458567,7.35668559562392,7.35668559562392,7.99999999999991,7.99999999999991,7.99999999999991,7,7,6.99999999999994,6.99999999999994,6.99999999999994,6.03407547620635,6.03407547620635,6.42466366850327,6.42466366850327,6,6,6,6,6,6,6,6,6,6,6,5.03825709199971,5.03825709199971,5.00000000000007,5.00000000000007,5.00000000000007,5.22467945530131,5.22467945530131,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.82266720216908,5.82266720216908,5.82266720216908,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5.99999999999988,5.99999999999988,5.99999999999988,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.50000000000001,6.50000000000001,6.50000000000001,6.94463613563972,6.94463613563972,7.00000000000004,7.00000000000004,7.00000000000004,null,null,null,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.637253883065484,1,0.338757082509817,0.338757082509817,1,1,0.999999999999978,0.999999999999978,0.00200486296246587,0,0,0,0,0,0,0,0,0,0,0,0,0,2.04374624764041,2.04374624764041,3,3,3,3,3,3.8981352189007,4.00000000000003,4.00000000000003,4.47138399856126,4.47138399856126,5,5,6,6,6,6,6,6,6,6,6,5.24020701152483,5.24020701152483,4.24160854252813,4.24160854252813,4.78215686223855,4.78215686223855,4.78215686223855,6.99999999999999,6.99999999999999,7,7,7,7,6.12859736744321,6.12859736744321,7.00000000000003,7.00000000000003,7,7,6,6,6,6.00000000000004,6.00000000000004,7,7,6.99999999999999,6.99999999999999,7,7,7,7.99999999999996,7.99999999999996,7.64331440437612,7.64331440437612,7.27550390441901,7.27550390441901,7.27550390441901,6.99999999999996,6.99999999999996,6.47057524996471,6.47057524996471,6.47057524996471,6.00000000000004,6.00000000000004,6.57533633149672,6.57533633149672,6,6,6,6,6,6.00000000000004,6.00000000000004,6.00000000000004,5.99999999999998,5.99999999999998,5.99999999999998,5.96174290800036,5.96174290800036,5.62188415733292,5.62188415733292,5.62188415733292,5.77532054469873,5.77532054469873,5.00000000000004,5.00000000000004,5.00000000000004,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,5.99999999999996,5.99999999999996,5.99999999999996,5.00000000000004,5.00000000000004,5.00000000000004,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,6.56148777385514,6.56148777385514,6.56148777385514,8.05536386436045,8.05536386436045,7.34655402619608,7.34655402619608,7.34655402619608,null,null,null,6.00000000000007,6.00000000000007,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.637253883065484,1,0.338757082509817,0.338757082509817,1,1,0.449408125466786,0.449408125466786,0,0,0,0,0,0,0,0,0,0,0,0,-1.56628163945327e-14,-1.56628163945327e-14,2.04374624764041,2.04374624764041,3,3.00000000000004,3.00000000000004,3.00000000000003,3.00000000000003,3.8981352189007,4.67247761313223,4.67247761313223,5,5,4.99999999999999,4.99999999999999,6,6,6,6,6,6,6,6,6,4.99999999999999,4.99999999999999,4.24160854252813,4.24160854252813,4.78215686223855,4.78215686223855,4.78215686223855,6.83108685594495,6.83108685594495,7,7,7,7,6.12859736744321,6.12859736744321,7.72216649487639,7.72216649487639,7,7,5.99999999999996,5.99999999999996,5.99999999999996,6.99999999999996,6.99999999999996,6.99999999999996,6.99999999999996,6.79020338646985,6.79020338646985,6.99999999999996,6.99999999999996,6.99999999999996,7,7,8.00000000000002,8.00000000000002,8,8,8,6,6,6,6,6,6.96592452379368,6.96592452379368,6,6,6,6,6,6,6,6.93052376033061,6.93052376033061,6.93052376033061,5.52569180617493,5.52569180617493,5.52569180617493,4.99999999999996,4.99999999999996,5.37811584266707,5.37811584266707,5.37811584266707,5.22467945530122,5.22467945530122,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4.99999999999999,4.99999999999999,4.99999999999999,5,5,5,5,5,5,5,5,4.99999999999997,4.99999999999997,4.99999999999997,5,5,5,5,5,5,4.99999999999996,4.99999999999996,4.99999999999996,5.50000000000001,5.50000000000001,5.50000000000001,null,null,null,null,null,null,null,null,5,5,5,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8,8,8.99999999999992,8.99999999999992,8.99999999999992,9.05536386436033,9.05536386436033,8.346554026196,8.346554026196,8.346554026196,9.49999999999999,9.49999999999999,9.49999999999999,7.79121476575965,7.79121476575965,5.99999999999993,5.99999999999993,5.99999999999993,6.50000000000001,6.50000000000001,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2.55106897338756e-14,2.55106897338756e-14,0.637253883065513,1,0.338757082509817,0.338757082509817,1,0.99999999999999,0.44940812546675,0.44940812546675,0,0,0,0,0,0,0,0,0,0,0,0,0.390149635387075,0.390149635387075,2.04374624764041,2.04374624764041,3,2,2,2.14823099319097,2.14823099319097,3.8981352189007,4.67247761313222,4.67247761313222,5,5,5.29496992677115,5.29496992677115,6,6,6,6,6,6,6,6,6.00000000000006,5.24020701152483,5.24020701152483,4.24160854252807,4.24160854252807,4.78215686223855,4.78215686223855,4.78215686223855,6,6,6.99999999999992,6.99999999999992,6.9956493775646,6.9956493775646,6.1285973674432,6.1285973674432,7.27783350512361,7.27783350512361,7.00000000000004,7.00000000000004,6.99999999999997,6.99999999999997,6.99999999999997,7.99999999999999,7.99999999999999,8,8,8,8,8,8,8,7,7,7.35668559562386,7.35668559562386,7.99999999999998,7.99999999999998,7.99999999999998,6,6,6,6,6,6,6,6,6,6.00000000000007,6.00000000000007,6.00000000000007,6,6,6,6,6,5.52569180617497,5.52569180617497,5.52569180617497,5.96174290800041,5.96174290800041,5.37811584266712,5.37811584266712,5.37811584266712,5.99999999999994,5.99999999999994,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.32714650008393,5.32714650008393,5.32714650008393,5,5,5,5.03050411358184,5.03050411358184,5,5,5,5.74227406062198,5.74227406062198,5.74227406062198,5,5,5,5.00000000000004,5.00000000000004,5.00000000000004,6,6,6,5.1627233196523,5.1627233196523,5.1627233196523,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8.00000000000016,8.00000000000016,11,11,11,10.9446361356396,10.9446361356396,9.34655402619609,9.34655402619609,9.34655402619609,9.76776903368617,9.76776903368617,9.76776903368617,9.2087852342403,9.2087852342403,7.67008303309465,7.67008303309465,7.67008303309465,6.15211906474321,6.15211906474321,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.317726584013978,0.317726584013978,1,1,0.338757082509817,0.338757082509817,1,0.874933593835017,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.390149635387075,0.390149635387075,2.04374624764041,2.04374624764041,3.00000000000004,2,2,3,3,3.8981352189007,4.67247761313223,4.67247761313223,5,5,5.29496992677112,5.29496992677112,6,6,6,6,6,6,6,6,6.78634838135428,5.24020701152484,5.24020701152484,3.48321708505624,3.48321708505624,4.78215686223851,4.78215686223851,4.78215686223851,6,6,6,6,6.99564937756464,6.99564937756464,6,6,7.00000000000003,7.00000000000003,7.5480290634129,7.5480290634129,6.65090273686868,6.65090273686868,6.65090273686868,7.8745026245999,7.8745026245999,8,8,8,8,8,8,8,7,7,7,7,7.72449609558105,7.72449609558105,7.72449609558105,6,6,5.99999999999998,5.99999999999998,5.99999999999998,6,6,6,6,6.90527466403506,6.90527466403506,6.90527466403506,6,6,6,6,6,6,6,6,6.00000000000004,6.00000000000004,6.00000000000002,6.00000000000002,6.00000000000002,5.22467945530125,5.22467945530125,6.00000000000001,6.00000000000001,6.00000000000001,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.67285349991612,5.67285349991612,5.67285349991612,5,5,5,5,5,4.99999999999996,4.99999999999996,4.99999999999996,5,5,5,5,5,5,5.45537649651059,5.45537649651059,5.45537649651059,6.00000000000004,6.00000000000004,6.00000000000004,4.99999999999997,4.99999999999997,4.99999999999997,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,9.99999999999996,9.99999999999996,11,11,11,11,11,9.99999999999996,9.99999999999996,9.99999999999996,9.76776903368612,9.76776903368612,9.76776903368612,9.20878523424027,9.20878523424027,8.67008303309457,8.67008303309457,8.67008303309457,8,8,7.49999999999999,7.49999999999999,7.49999999999999,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.317726584013978,0.317726584013978,1,1,0.338757082509843,0.338757082509843,0.999999999999971,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.390149635387075,0.390149635387075,2,2,2,2.00000000000002,2.00000000000002,3.00000000000003,3.00000000000003,3.8981352189007,4.67247761313222,4.67247761313222,5,5,5.99999999999997,5.99999999999997,6,6,6,6,6,6,6.00000000000004,6.00000000000004,6,5.24020701152484,5.24020701152484,4.24160854252816,4.24160854252816,5.78215686223855,5.78215686223855,5.78215686223855,6,6,6,6,6,6,6,6,6.27783350512362,6.27783350512362,6.54802906341288,6.54802906341288,7.30180547373743,7.30180547373743,7.30180547373743,8.87450262459994,8.87450262459994,8,8,8,8,8,8,8,7.00000000000004,7.00000000000004,7,7,7,7,7,6,6,6.52942475003525,6.52942475003525,6.52942475003525,6,6,6,6,6,6,6,6.00000000000002,6.00000000000002,6,6,6,6,6,6,5.03825709199964,5.03825709199964,5.37811584266708,5.37811584266708,5.37811584266708,5.22467945530128,5.22467945530128,5.84610958815999,5.84610958815999,5.84610958815999,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,5.88577932708809,5.88577932708809,5.88577932708809,5,5,5,5,5,5,5.00000000000004,5.00000000000004,5.00000000000004,5.00000000000003,5.00000000000003,5.00000000000003,5.83727668034765,5.83727668034765,5.83727668034765,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,11,11,11.5614877738551,11.5614877738551,11.5614877738551,11,11,11,11,11,11,11,11,10,10,8.67008303309461,8.67008303309461,8.67008303309461,8.00000000000004,8.00000000000004,7.65532615028533,7.65532615028533,7.65532615028533,7.00000000000004,7.00000000000004,6.99999999999997,6.99999999999997,6.99999999999997,null,null,null,null,5.00000000000004,5.00000000000004,5.00000000000004,5.99999999999999,5.99999999999999,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.317726584013978,0.317726584013978,1,1,1.00000000000001,1.00000000000001,0.278803417794918,-3.51247905795114e-14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.390149635387075,0.390149635387075,2,2,2,2.42262937974089,2.42262937974089,3.85176900680909,3.85176900680909,3.8981352189007,4.67247761313223,4.67247761313223,5,5,5.29496992677116,5.29496992677116,6,6,6,6,6,6,7,7,5.99999999999997,5.24020701152484,5.24020701152484,5,5,5.78215686223854,5.78215686223854,5.78215686223854,6,6,6.00000000000003,6.00000000000003,6,6,6,6,6,6,7.00000000000002,7.00000000000002,7.65090273686871,7.65090273686871,7.65090273686871,9.00000000000003,9.00000000000003,8,8,8.00000000000002,8.00000000000002,8.00000000000001,8.00000000000001,8.00000000000001,7.98764824541445,7.98764824541445,7,7,7,7,7,6,6,6,6,6,6,6,5.99999999999998,5.99999999999998,6.09472533596498,6.09472533596498,6.09472533596498,6.59263366231281,6.59263366231281,6,6,6,6,6,6,6,6,5.62188415733294,5.62188415733294,5.62188415733294,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5,5,5,4.99999999999997,4.99999999999997,4.99999999999997,5.03050411358184,5.03050411358184,5,5,5,5,5,5,4.99999999999998,4.99999999999998,4.99999999999998,6.00000000000004,6.00000000000004,6.00000000000004,5.68978851359751,5.68978851359751,5.68978851359751,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.99999999999999,7.99999999999999,7.99999999999999,11,11,12,12,12,11,11,12,12,12,11,11,11,10,10,9.67008303309457,9.67008303309457,9.67008303309457,9,9,7.65532615028532,7.65532615028532,7.65532615028532,8.00000000000003,8.00000000000003,6.27313417131512,6.27313417131512,6.27313417131512,6,6,6,6,6,6,6,5.85958770538597,5.85958770538597,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7.5084445474218e-16,0.317726584014005,0.317726584014005,1,1.00000000000004,0.661242917490183,0.661242917490183,0,0.874933593834986,1.8041787860224e-14,1.8041787860224e-14,0,0,0,0,0,0,0,0,0,0,0,0,0.390149635387075,0.390149635387075,2,2,2,2.42262937974089,2.42262937974089,3.99999999999997,3.99999999999997,4,4.6724776131322,4.6724776131322,4.99999999999996,4.99999999999996,5,5,6,6,6,6,6.00000000000004,6.00000000000004,7,7,6.78634838135423,5.24020701152487,5.24020701152487,5.00000000000003,5.00000000000003,6,6,6,6,6,5.09483691237123,5.09483691237123,5.99999999999996,5.99999999999996,5.87140263255679,5.87140263255679,6.00000000000004,6.00000000000004,6.54802906341292,6.54802906341292,7.65090273686875,7.65090273686875,7.65090273686875,8.1254973754001,8.1254973754001,8.00000000000004,8.00000000000004,7.60489830676503,7.60489830676503,7.69174700713508,7.69174700713508,7.69174700713508,7.98764824541441,7.98764824541441,7,7,7,7,7,6,6,6,6,6,6,6,6.57533633149675,6.57533633149675,6,6,6,6,6,6,6,6,6,6,6,6,6,5.37811584266709,5.37811584266709,5.37811584266709,5.99999999999997,5.99999999999997,6.00000000000001,6.00000000000001,6.00000000000001,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.00000000000002,6.00000000000002,6.00000000000002,5.00000000000001,5.00000000000001,5.00000000000001,5.82266720216914,5.82266720216914,5.82266720216914,5.03050411358184,5.03050411358184,5.00000000000004,5.00000000000004,5.00000000000004,5.00000000000003,5.00000000000003,5.00000000000003,5.40089795437358,5.40089795437358,5.40089795437358,5.00000000000004,5.00000000000004,5.00000000000004,5,5,5,5.00000000000004,5.00000000000004,5.00000000000004,null,null,null,null,null,null,null,null,null,null,null,5.99999999999997,5.99999999999997,5.99999999999997,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8.15072689730252,8.15072689730252,8.15072689730252,11,11,12,12,12,11.0553638643604,11.0553638643604,12,12,12,11,11,11,10,10,9.67008303309457,9.67008303309457,9.67008303309457,9.00000000000001,9.00000000000001,8,8,8,7.18011330996001,7.18011330996001,6.7268658286849,6.7268658286849,6.7268658286849,6.00000000000001,6.00000000000001,6.00000000000004,6.00000000000004,6,6,6,5.14041229461406,5.14041229461406,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0187030022488372,1,1,1,1.97751974538465,0.661242917490224,0.661242917490224,1.20436993711329e-13,1,0.449408125466786,0.449408125466786,0,0,0,0,0,0,0,0,0,0,0,0,0.390149635387075,0.390149635387075,1.99999999999988,1.99999999999988,2,2.42262937974089,2.42262937974089,3.14823099319091,3.14823099319091,4,4,4,4,4,5,5,6,6,6.01658797025148,6.01658797025148,7,7,7,7,6.21365161864575,5.99999999999991,5.99999999999991,5.75839145747187,5.75839145747187,6,6,6,5.99999999999988,5.99999999999988,5,5,5.0043506224354,5.0043506224354,5.8714026325568,5.8714026325568,7,7,7.90394187317427,7.90394187317427,8.65090273686875,8.65090273686875,8.65090273686875,9,9,8.8773755514952,8.8773755514952,7.00000000000007,7.00000000000007,7,7,7,7,7,7.00000000000008,7.00000000000008,7,7,7,6,6,6,6,6,6.03407547620635,6.03407547620635,6.57533633149668,6.57533633149668,6,6,6,6.00000000000007,6.00000000000007,6,6,6,6,6,6,6,6,6,6,6,5.22467945530134,5.22467945530134,6.15389041184012,6.15389041184012,6.15389041184012,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.48082172874823,6.48082172874823,6.48082172874823,5.32714650008386,5.32714650008386,5.32714650008386,5.00000000000012,5.00000000000012,5.00000000000012,5,5,5.88577932708802,5.88577932708802,5.88577932708802,5.74227406062207,5.74227406062207,5.74227406062207,5,5,5,5.99999999999988,5.99999999999988,5.99999999999988,5,5,5,6,6,6,null,null,null,null,null,null,null,null,null,null,null,5.35983252928756,5.35983252928756,5.35983252928756,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,9.15072689730258,9.15072689730258,9.15072689730258,10.9999999999999,10.9999999999999,12.0000000000001,12.0000000000001,12.0000000000001,12,12,11.346554026196,11.346554026196,11.346554026196,11.7677690336861,11.7677690336861,11.7677690336861,10,10,9.67008303309461,9.67008303309461,9.67008303309461,9.15211906474306,9.15211906474306,8.00000000000008,8.00000000000008,8.00000000000008,7.18011330996,7.18011330996,7.72686582868477,7.72686582868477,7.72686582868477,6.29594537227843,6.29594537227843,6.88769015191359,6.88769015191359,5.99999999999994,5.99999999999994,5.99999999999994,5.14041229461406,5.14041229461406,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0187030022488372,1,1,1,1.97751974538465,1.00000000000003,1.00000000000003,1,1,0.449408125466848,0.449408125466848,1.60973112001751e-16,0,0,0,0,0,0,0,0,0,0,0,0.390149635387059,0.390149635387059,1.0437462476404,1.0437462476404,1.99999999999995,2.42262937974087,2.42262937974087,3.14823099319091,3.14823099319091,4,3.99999999999997,3.99999999999997,3.99999999999996,3.99999999999996,5,5,6,6,6.01658797025148,6.01658797025148,7,7,6.99999999999996,6.99999999999996,6.21365161864575,5.24020701152484,5.24020701152484,5.75839145747184,5.75839145747184,5.99999999999996,5.99999999999996,5.99999999999996,4.99999999999996,4.99999999999996,5,5,5.0043506224354,5.0043506224354,6.00000000000004,6.00000000000004,7.00000000000001,7.00000000000001,7.9039418731743,7.9039418731743,9,9,9,9,9,8,8,7.60489830676505,7.60489830676505,6.99999999999999,6.99999999999999,6.99999999999999,6.98764824541441,6.98764824541441,7.64331440437609,7.64331440437609,7,7,7,6,6,6,6,6,6,6,6,6,6.00000000000004,6.00000000000004,6.00000000000004,6.59263366231276,6.59263366231276,6,6,6,6,6,6,6,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5.99999999999998,5.99999999999998,5.99999999999998,5,5,5,5.99999999999999,5.99999999999999,5.99999999999999,5.03050411358184,5.03050411358184,5,5,5,5.99999999999999,5.99999999999999,5.99999999999999,5.00000000000004,5.00000000000004,5.00000000000004,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999999,5.99999999999999,5.99999999999999,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,10,10,10,10,10,12.438512226145,12.438512226145,12.438512226145,12,12,11,11,11,11,11,11,10,10,10,10,10,9.15211906474309,9.15211906474309,8.65532615028535,8.65532615028535,8.65532615028535,7.18011330996004,7.18011330996004,7.00000000000004,7.00000000000004,7.00000000000004,7,7,6.88769015191359,6.88769015191359,5.5024151342506,5.5024151342506,5.5024151342506,5.14041229461406,5.14041229461406,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0187030022488372,1,1,1,1.97751974538457,1.6612429174901,1.6612429174901,0.99999999999992,1.12506640616502,2,2,0.00400972592501203,0,0,0,0,0,0,0,0,0,0,0,0,0,0.956253752359516,0.956253752359516,0.721185615728647,1.99999999999995,1.99999999999995,3.14823099319091,3.14823099319091,4,3.32752238686777,3.32752238686777,3,3,5,5,5.99999999999999,5.99999999999999,6.0165879702514,6.0165879702514,6.99999999999999,6.99999999999999,6.00000000000001,6.00000000000001,6.21365161864575,5.24020701152482,5.24020701152482,5,5,5,5,5,4,4,4.99999999999999,4.99999999999999,4.99999999999992,4.99999999999992,6.99999999999993,6.99999999999993,7.27783350512361,7.27783350512361,8.45197093658714,8.45197093658714,8.99999999999997,8.99999999999997,8.99999999999997,8.99999999999992,8.99999999999992,8,8,7.60489830676505,7.60489830676505,6.69174700713507,6.69174700713507,6.69174700713507,6.01235175458563,6.01235175458563,7,7,6.99999999999998,6.99999999999998,6.99999999999998,6.00000000000007,6.00000000000007,6,6,6,6.03407547620643,6.03407547620643,6,6,6.90527466403502,6.90527466403502,6.90527466403502,6,6,6.06947623966942,6.06947623966942,6.06947623966942,6,6,6,5.96174290800041,5.96174290800041,6,6,6,6.00000000000006,6.00000000000006,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5.48082172874829,5.48082172874829,5.48082172874829,5,5,5,5.82266720216915,5.82266720216915,5.82266720216915,5,5,5,5,5,5.74227406062198,5.74227406062198,5.74227406062198,5.99999999999995,5.99999999999995,5.99999999999995,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.64016747071252,5.64016747071252,5.64016747071252,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,11,11,11,10.8034419398665,10.8034419398665,12.438512226145,12.438512226145,12.438512226145,12,12,11,11,11,11,11,11,11,11,10,10,10,10,10,9,9,9,8,8,8,8,8,7,7,6.88769015191359,6.88769015191359,5.50241513425064,5.50241513425064,5.50241513425064,5.14041229461406,5.14041229461406,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0187030022488372,1,1,1,1,0.661242917490183,0.661242917490183,0,1.12506640616502,2,2,1.00200486296247,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.42262937974089,1.42262937974089,3.14823099319091,3.14823099319091,4,3.32752238686777,3.32752238686777,3,3,5,5,5.85665986896475,5.85665986896475,5.01658797025148,5.01658797025148,6.91479486498983,6.91479486498983,6.16197027328456,6.16197027328456,6.21365161864575,5,5,5,5,5,5,5,4,4,4.90516308762876,4.90516308762876,4.0043506224354,4.0043506224354,6.12859736744321,6.12859736744321,7,7,8.45197093658714,8.45197093658714,8.65090273686871,8.65090273686871,8.65090273686871,8,8,8,8,7.60489830676505,7.60489830676505,6.3082529928649,6.3082529928649,6.3082529928649,7,7,7,7,6.72449609558102,6.72449609558102,6.72449609558102,6.8844916325098,6.8844916325098,6,6,6,7,7,6,6,6.90527466403502,6.90527466403502,6.90527466403502,6,6,6,6,6,6,6,6,6,6,6,6,6,6.77532054469875,6.77532054469875,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,7,null,null,null,6,6,6,5.48082172874829,5.48082172874829,5.48082172874829,5,5,5,null,null,null,5,5,5,5,5,5,5,5,5.4008979543736,5.4008979543736,5.4008979543736,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.64016747071252,5.64016747071252,5.64016747071252,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,11.1507268973025,11.1507268973025,11.1507268973025,10,10,12.438512226145,12.438512226145,12.438512226145,12,12,11.653445973804,11.653445973804,11.653445973804,11,11,11,11,11,10,10,10,10,10,9,9,9,8,8,8,8,8,7,7,6.88769015191359,6.88769015191359,6,6,6,5.14041229461406,5.14041229461406,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.317726584013952,0.317726584013952,0.999999999999971,1,0.661242917490183,0.661242917490183,0,1.12506640616501,1.99999999999996,1.99999999999996,1.00200486296247,0.467494830570457,0.467494830570457,0.0406942769286774,0,0,0,0,0,0,0,0,0,0,0,0,0,1.42262937974092,1.42262937974092,3,3,3,3,3,3,3,5,5,6,6,5.03317594050304,5.03317594050304,7,7,6.67605945343085,6.67605945343085,5.21365161864575,5,5,5,5,4.21784313776145,4.21784313776145,4.21784313776145,4.00000000000007,4.00000000000007,4.90516308762885,4.90516308762885,3.00870124487097,3.00870124487097,6.1285973674432,6.1285973674432,7,7,7.45197093658714,7.45197093658714,8.34909726313121,8.34909726313121,8.34909726313121,null,null,8,8,7.60489830676508,7.60489830676508,6.69174700713513,6.69174700713513,6.69174700713513,6.99999999999992,6.99999999999992,6.35668559562389,6.35668559562389,6.72449609558096,6.72449609558096,6.72449609558096,7,7,6.47057524996477,6.47057524996477,6.47057524996477,6.96592452379364,6.96592452379364,6.00000000000003,6.00000000000003,6.90527466403495,6.90527466403495,6.90527466403495,6.00000000000005,6.00000000000005,5.93052376033058,5.93052376033058,5.93052376033058,6.52569180617489,6.52569180617489,6.52569180617489,5.03825709199967,5.03825709199967,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.48082172874833,5.48082172874833,5.48082172874833,5.00000000000008,5.00000000000008,5.00000000000008,6,6,6,5.03050411358188,5.03050411358188,5.11422067291195,5.11422067291195,5.11422067291195,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,11.1507268973025,11.1507268973025,11.1507268973025,10.1965580601335,10.1965580601335,11.438512226145,11.438512226145,11.438512226145,12.9446361356396,12.9446361356396,12,12,12,11,11,11,10.2087852342403,10.2087852342403,10.0000000000001,10.0000000000001,10.0000000000001,10,10,9.65532615028533,9.65532615028533,9.65532615028533,8.18011330996,8.18011330996,8,8,8,7.29594537227835,7.29594537227835,6.88769015191359,6.88769015191359,6,6,6,5.14041229461412,5.14041229461412,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.637253883065484,1,0.661242917490183,0.661242917490183,0,1,1.55059187453321,1.55059187453321,1.00200486296247,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1.84525875948178,1.84525875948178,3,3,3,3,3,3,3,5,5,6,6,6.01658797025148,6.01658797025148,7,7,6.16197027328456,6.16197027328456,5.21365161864575,5,5,5,5,4.21784313776145,4.21784313776145,4.21784313776145,4.83108685594491,4.83108685594491,6,6,5.0043506224354,5.0043506224354,6,6,7,7,7.45197093658714,7.45197093658714,7.34909726313129,7.34909726313129,7.34909726313129,null,null,8,8,8,8,7,7,7,6.01235175458555,6.01235175458555,6.35668559562389,6.35668559562389,6,6,6,7,7,7,7,7,6.96592452379364,6.96592452379364,6.42466366850326,6.42466366850326,6,6,6,6.59263366231278,6.59263366231278,6,6,6,6,6,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,null,null,null,null,null,null,null,null,null,6,6,6,6,6,6,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8,8,8,11.1507268973025,11.1507268973025,11.1507268973025,11,11,11.438512226145,11.438512226145,11.438512226145,12.9446361356396,12.9446361356396,12,12,12,11,11,11,10.2087852342403,10.2087852342403,10.6700830330946,10.6700830330946,10.6700830330946,10,10,9.65532615028533,9.65532615028533,9.65532615028533,8.18011330996001,8.18011330996001,8,8,8,7.29594537227835,7.29594537227835,6.88769015191359,6.88769015191359,6,6,6,5.85958770538594,5.85958770538594,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1.55059187453326,1.55059187453326,2.00000000000008,1,1,1.00000000000008,0,0,0,0,0,0,0,0,0,0,0,0,0.721185615728705,2.42262937974089,2.42262937974089,3,3,3,3,3,3.47138399856123,3.47138399856123,5,5,6,6,6,6,6,6,6.00000000000007,6.00000000000007,5.00000000000006,4.24020701152485,4.24020701152485,5,5,4.00000000000006,4.00000000000006,4.00000000000006,4.83108685594483,4.83108685594483,6.99999999999993,6.99999999999993,5.99999999999984,5.99999999999984,7,7,7,7,7.45197093658717,7.45197093658717,7.34909726313124,7.34909726313124,7.34909726313124,null,null,7.87737555149537,7.87737555149537,8.00000000000005,8.00000000000005,6.99999999999998,6.99999999999998,6.99999999999998,7,7,6.35668559562384,6.35668559562384,5.99999999999998,5.99999999999998,5.99999999999998,6.88449163250987,6.88449163250987,6.52942475003527,6.52942475003527,6.52942475003527,6.96592452379372,6.96592452379372,6.42466366850326,6.42466366850326,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.15143244970064,6.15143244970064,null,null,null,null,null,null,null,null,null,6.00000000000008,6.00000000000008,6.00000000000008,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.00000000000008,6.00000000000008,6.00000000000008,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.99999999999984,7.99999999999984,7.99999999999984,11.1507268973024,11.1507268973024,11.1507268973024,11.1965580601334,11.1965580601334,11.438512226145,11.438512226145,11.438512226145,12,12,12.0000000000001,12.0000000000001,12.0000000000001,11,11,11,10.2087852342403,10.2087852342403,10.6700830330946,10.6700830330946,10.6700830330946,9.15211906474299,9.15211906474299,9.65532615028539,9.65532615028539,9.65532615028539,8.81988669003998,8.81988669003998,8.00000000000002,8.00000000000002,8.00000000000002,6.99999999999992,6.99999999999992,6.88769015191358,6.88769015191358,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0.0406942769286003,0,0,0,0,0,0,0,0,0,0,0,0,0.721185615728705,2.42262937974089,2.42262937974089,3,3,3,3,3,3.47138399856128,3.47138399856128,5,5,6,6,5.99999999999992,5.99999999999992,6,6,5.16197027328454,5.16197027328454,4.21365161864573,4,4,4.99999999999994,4.99999999999994,3.21784313776151,3.21784313776151,3.21784313776151,5.83108685594499,5.83108685594499,7.90516308762869,7.90516308762869,7.99564937756452,7.99564937756452,7.00000000000001,7.00000000000001,7,7,7.00000000000004,7.00000000000004,7.99999999999992,7.99999999999992,7.99999999999992,null,null,7,7,7.39510169323492,7.39510169323492,7.30825299286495,7.30825299286495,7.30825299286495,6.98764824541445,6.98764824541445,7,7,6.27550390441904,6.27550390441904,6.27550390441904,6,6,6.52942475003523,6.52942475003523,6.52942475003523,6,6,6.42466366850327,6.42466366850327,6,6,6,6,6,6.00000000000007,6.00000000000007,6.00000000000007,6,6,6,5.99999999999992,5.99999999999992,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000008,5.00000000000008,5.00000000000008,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,10,10,10,12,12,12,12,12,11.438512226145,11.438512226145,11.438512226145,12.0000000000001,12.0000000000001,11,11,11,11,11,11,10.0000000000001,10.0000000000001,10,10,10,10,10,9,9,9,8.99999999999993,8.99999999999993,7.72686582868486,7.72686582868486,7.72686582868486,7.99999999999994,7.99999999999994,7,7,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0.0406942769286003,0,0,0,0,0,0,0,0,0,0,0,0,0.721185615728705,2.42262937974089,2.42262937974089,3,3,3,3,3,4,4,5,5,6,6,5.01658797025148,5.01658797025148,6,6,5,5,4,4,4,4.24160854252813,4.24160854252813,4,4,4,6.83108685594491,6.83108685594491,7,7,7.0043506224354,7.0043506224354,7.12859736744321,7.12859736744321,7,7,7.45197093658714,7.45197093658714,null,null,null,null,null,null,null,7,7,8,8,8,6.98764824541445,6.98764824541445,7,7,7,7,7,6,6,6,6,6,6,6,6.57533633149675,6.57533633149675,6,6,6,6,6,6.93052376033057,6.93052376033057,6.93052376033057,6,6,6,5.0382570919996,5.0382570919996,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,6,6,6,6,6,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,10,10,10,12,12,12,12,12,12,12,12,12.9446361356396,12.9446361356396,11,11,11,10.7677690336862,10.7677690336862,10.7677690336862,10.7912147657597,10.7912147657597,10,10,10,10,10,9,9,9,8.18011330996001,8.18011330996001,7.72686582868486,7.72686582868486,7.72686582868486,7.29594537227835,7.29594537227835,7,7,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.125066406165124,1,1,1,1,1,0.0406942769286003,0,0,0,0,0,0,0,0,0,0,0,0,0.721185615728792,2.42262937974084,2.42262937974084,3,3,3,3.67247761313222,3.67247761313222,4,4,5,5,5,5,5,5,4.99999999999989,4.99999999999989,3.99999999999988,3.99999999999988,3.21365161864572,3.75979298847516,3.75979298847516,4,4,5.78215686223864,5.78215686223864,5.78215686223864,6.83108685594493,6.83108685594493,7.90516308762867,7.90516308762867,8,8,7.99999999999998,7.99999999999998,7.72216649487628,7.72216649487628,7,7,null,null,null,null,null,null,null,7.99999999999985,7.99999999999985,8,8,8,null,null,6.99999999999988,6.99999999999988,6,6,6,6.00000000000011,6.00000000000011,6,6,6,6,6,6.4246636685032,6.4246636685032,6,6,6,6,6,6,6,6,6,6,6,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5,5,5,5.6897885135974,5.6897885135974,5.6897885135974,6,6,6,5.99999999999988,5.99999999999988,5.99999999999998,5.99999999999998,5.99999999999998,null,null,null,null,null,null,6,6,6,5.18014251096204,5.18014251096204,5.18014251096204,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,10.9999999999999,10.9999999999999,10.9999999999999,12.1507268973025,12.1507268973025,12.1507268973025,12.0000000000001,12.0000000000001,12.0000000000001,12.0000000000001,12.0000000000001,12,12,12,12,12,10.7677690336862,10.7677690336862,10.7677690336862,10.2087852342403,10.2087852342403,10,10,10,10,10,9.00000000000004,9.00000000000004,9.00000000000004,9,9,8.72686582868486,8.72686582868486,8.72686582868486,7,7,6.88769015191359,6.88769015191359,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0.0406942769286003,0,0,0,0,0,0,0,0,0,0,0,0,1.44237123145741,2,2,3,3,3,3.67247761313223,3.67247761313223,4,4,5,5,5,5,5,5,4.08520513501017,4.08520513501017,3,3,2.99999999999999,3.7597929884752,3.7597929884752,4.00000000000004,4.00000000000004,6.56431372447708,6.56431372447708,6.56431372447708,7,7,7.09483691237127,7.09483691237127,7.9956493775646,7.9956493775646,7.87140263255679,7.87140263255679,7.00000000000001,7.00000000000001,7,7,null,null,null,null,null,null,null,6.7902033864699,6.7902033864699,8,8,8,null,null,null,null,6.00000000000001,6.00000000000001,6.00000000000001,6.8844916325098,6.8844916325098,6,6,6,6,6,6,6,6.00000000000004,6.00000000000004,6.00000000000004,6.00000000000002,6.00000000000002,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6,6,6,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.49999999999999,5.49999999999999,5.49999999999999,6,6,6,5,5,5,5,5,5,5.99999999999996,5.99999999999996,5.99999999999996,5.01203189590648,5.01203189590648,5.85726206063032,5.85726206063032,5.85726206063032,null,null,null,null,null,null,5.99999999999997,5.99999999999997,5.99999999999997,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,9.96192731341299,9.96192731341299,9.96192731341299,12.1507268973025,12.1507268973025,12.1507268973025,12.8034419398665,12.8034419398665,12.438512226145,12.438512226145,12.438512226145,11.9446361356396,11.9446361356396,12,12,12,10.7677690336862,10.7677690336862,10.7677690336862,10.2087852342403,10.2087852342403,10,10,10,10.1521190647431,10.1521190647431,9.31065230057064,9.31065230057064,9.31065230057064,9,9,8.72686582868482,8.72686582868482,8.72686582868482,7,7,6.88769015191359,6.88769015191359,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1.00000000000002,1.00000000000002,1.00000000000004,1.00000000000004,1.00000000000004,0.040694276928602,0,0,0,0,0,0,0,0,0,0,0,0,1.44237123145741,1.99999999999996,1.99999999999996,3,3,3,3.67247761313225,3.67247761313225,4.00000000000002,4.00000000000002,5.00000000000004,5.00000000000004,5.00000000000004,5.00000000000004,4.98341202974856,4.98341202974856,4.00000000000004,4.00000000000004,3.00000000000004,3.00000000000004,2.78634838135421,4.75979298847512,4.75979298847512,4.99999999999993,4.99999999999993,5.99999999999997,5.99999999999997,5.99999999999997,6.99999999999996,6.99999999999996,7.90516308762876,7.90516308762876,7.9956493775646,7.9956493775646,8,8,7.27783350512361,7.27783350512361,7,7,null,null,null,null,null,5.99999999999996,5.99999999999996,7,7,8.00000000000007,8.00000000000007,8.00000000000007,null,null,null,null,6.27550390441897,6.27550390441897,6.27550390441897,6.88449163250984,6.88449163250984,6,6,6,6,6,6,6,6.90527466403506,6.90527466403506,6.90527466403506,6.59263366231282,6.59263366231282,6.00000000000004,6.00000000000004,6.00000000000004,6,6,6,null,null,null,null,null,5.49999999999999,5.49999999999999,6,6,6,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6,6,5.49999999999999,5.49999999999999,5.49999999999999,5.99999999999998,5.99999999999998,5.99999999999998,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.25772593937793,5.25772593937793,5.25772593937793,6,6,6,4.99999999999996,4.99999999999996,4.99999999999996,5,5,5,5,5,5,5.01203189590646,5.01203189590646,5,5,5,null,null,null,null,null,null,5.35983252928746,5.35983252928746,5.35983252928746,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,9.96192731341296,9.96192731341296,9.96192731341296,12,12,12,12,12,12.561487773855,12.561487773855,12.561487773855,11.9446361356396,11.9446361356396,11.346554026196,11.346554026196,11.346554026196,11,11,11,11,11,10,10,10,9.99999999999999,9.99999999999999,8.65532615028532,8.65532615028532,8.65532615028532,9.00000000000001,9.00000000000001,7.72686582868485,7.72686582868485,7.72686582868485,7,7,6.88769015191359,6.88769015191359,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.99999999999996,0.449408125466768,0.449408125466768,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.44237123145741,3,3,3,3,3,3,3,3.47138399856122,3.47138399856122,4,4,4,4,3.98341202974852,3.98341202974852,3,3,2,2,3.78634838135426,5.75979298847516,5.75979298847516,6.75839145747185,6.75839145747185,6.78215686223856,6.78215686223856,6.78215686223856,7.99999999999996,7.99999999999996,8,8,8,8,7.87140263255675,7.87140263255675,7.72216649487634,7.72216649487634,null,null,null,null,null,null,null,7,7,7,7,6.30825299286488,6.30825299286488,6.30825299286488,null,null,null,null,null,null,null,6,6,6,6,6,6.03407547620636,6.03407547620636,6,6,6,6,6,5.5926336623128,5.5926336623128,5.06947623966945,5.06947623966945,5.06947623966945,null,null,null,null,null,null,null,null,5.77532054469875,5.77532054469875,5.99999999999997,5.99999999999997,5.99999999999997,null,null,null,null,null,null,null,null,null,null,null,6,6,5.99999999999996,5.99999999999996,5.99999999999996,5.66830075247451,5.66830075247451,5.66830075247451,6.58310169460761,6.58310169460761,6.58310169460761,7,7,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999996,5.99999999999996,5.99999999999996,null,null,null,5.99999999999996,5.99999999999996,5.99999999999996,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999996,5.99999999999996,5.99999999999996,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,10.4809636567065,10.4809636567065,10.4809636567065,12.8492731026975,12.8492731026975,12.8492731026975,13,13,12.561487773855,12.561487773855,12.561487773855,11.9446361356396,11.9446361356396,11.346554026196,11.346554026196,11.346554026196,11,11,11,11,11,10,10,10,10.1521190647431,10.1521190647431,9.00000000000003,9.00000000000003,9.00000000000003,8.81988669004,8.81988669004,7.99999999999999,7.99999999999999,7.99999999999999,7,7,6.88769015191359,6.88769015191359,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.44237123145744,3,3,2.99999999999996,2.99999999999996,2.99999999999996,2.99999999999997,2.99999999999997,2.99999999999998,2.99999999999998,3.99999999999996,3.99999999999996,4,4,3.98341202974852,3.98341202974852,3,3,2.00000000000008,2.00000000000008,4.00000000000004,5.7597929884752,5.7597929884752,6.24160854252816,6.24160854252816,7.00000000000004,7.00000000000004,7.00000000000004,7.00000000000004,7.00000000000004,7.99999999999996,7.99999999999996,7.9956493775646,7.9956493775646,7,7,7,7,null,null,null,null,null,null,null,6.99999999999996,6.99999999999996,7,7,null,null,null,null,null,null,null,null,null,null,6,6,5.99999999999998,5.99999999999998,5.99999999999998,6,6,6,6,6,6,6,6.00000000000004,6.00000000000004,null,null,null,null,null,null,null,null,6,6,6,5.77532054469872,5.77532054469872,5.15389041184001,5.15389041184001,5.15389041184001,6,6,6,null,null,null,null,null,null,null,null,5.99999999999996,5.99999999999996,5.06673236413109,5.06673236413109,5.06673236413109,5.66830075247452,5.66830075247452,5.66830075247452,6.99999999999994,6.99999999999994,6.99999999999994,6.99999999999996,6.99999999999996,6,6,6,6.99999999999999,6.99999999999999,6.99999999999999,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000003,5.00000000000003,5.00000000000003,null,null,null,5,5,5,5,5,5,5.99999999999997,5.99999999999997,5.99999999999997,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,10.961927313413,10.961927313413,10.961927313413,12.8492731026975,12.8492731026975,12.8492731026975,13,13,12.438512226145,12.438512226145,12.438512226145,11.9446361356396,11.9446361356396,11.346554026196,11.346554026196,11.346554026196,11,11,11,11,11,10,10,10,10.8478809352569,10.8478809352569,9.65532615028533,9.65532615028533,9.65532615028533,8.81988669003997,8.81988669003997,7.7268658286849,7.7268658286849,7.7268658286849,7.00000000000001,7.00000000000001,6.99999999999996,6.99999999999996,6.00000000000004,6.00000000000004,6.00000000000004,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2.16355684718612,3,3,2,2,2,2.32752238686774,2.32752238686774,2.47138399856123,2.47138399856123,3,3,3.99999999999988,3.99999999999988,3.98341202974852,3.98341202974852,3,3,4,4,5.00000000000009,6.75979298847507,6.75979298847507,7.00000000000009,7.00000000000009,7.9999999999999,7.9999999999999,7.9999999999999,7.99999999999988,7.99999999999988,7,7,7.99564937756448,7.99564937756448,7,7,6.99999999999988,6.99999999999988,null,null,6,6,6,null,null,null,null,7,7,null,null,null,null,null,null,null,null,null,null,null,null,5.47057524996479,5.47057524996479,5.47057524996479,6,6,null,null,6,6,6,7,7,null,null,null,null,null,null,null,null,5.99999999999992,5.99999999999992,5.99999999999992,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000012,5.00000000000012,5.0667323641312,5.0667323641312,5.0667323641312,5.99999999999992,5.99999999999992,5.99999999999992,5.58310169460752,5.58310169460752,5.58310169460752,6,6,null,null,null,6.7367234194959,6.7367234194959,6.7367234194959,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.74227406062195,5.74227406062195,5.74227406062195,null,null,null,5.00000000000005,5.00000000000005,5.00000000000005,5.00000000000004,5.00000000000004,5.00000000000004,5.16272331965232,5.16272331965232,5.16272331965232,null,null,null,null,null,null,null,null,null,null,null,5.00000000000012,5.00000000000012,5.00000000000012,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8.00000000000017,8.00000000000017,10.4809636567065,10.4809636567065,10.4809636567065,12.9999999999999,12.9999999999999,12.9999999999999,13,13,12.438512226145,12.438512226145,12.438512226145,12,12,11.3465540261961,11.3465540261961,11.3465540261961,10.7677690336862,10.7677690336862,10.7677690336862,11,11,10,10,10,10,10,9.65532615028533,9.65532615028533,9.65532615028533,8.18011330996,8.18011330996,8.72686582868486,8.72686582868486,8.72686582868486,7.29594537227835,7.29594537227835,6.00000000000001,6.00000000000001,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2.16355684718612,3,3,2,2,2,2,2,2.47138399856123,2.47138399856123,3,3,3,3,3.98341202974852,3.98341202974852,3,3,4,4,5.78634838135425,6,6,7.75839145747187,7.75839145747187,7.21784313776145,7.21784313776145,7.21784313776145,7,7,7,7,7,7,7,7,6,6,null,null,6,6,6,null,null,null,null,7,7,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6,6,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,5.37811584266707,5.37811584266707,5.37811584266707,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6,6,5.3316992475255,5.3316992475255,5.3316992475255,5,5,5,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,5.45537649651058,5.45537649651058,5.45537649651058,5.31021148640252,5.31021148640252,5.31021148640252,5.16272331965232,5.16272331965232,5.16272331965232,6,6,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,7,9.38431310277398,9.38431310277398,10.4809636567065,10.4809636567065,10.4809636567065,12,12,12,13,13,12.438512226145,12.438512226145,12.438512226145,12,12,11.653445973804,11.653445973804,11.653445973804,10.7677690336862,10.7677690336862,10.7677690336862,11,11,10,10,10,10,10,9.65532615028534,9.65532615028534,9.65532615028534,8.18011330996001,8.18011330996001,8.72686582868486,8.72686582868486,8.72686582868486,7.29594537227835,7.29594537227835,6.11230984808641,6.11230984808641,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7.02488873594921e-15,7.02488873594921e-15,2.16355684718616,3,3,2.00000000000014,2.00000000000014,2,1.99999999999995,1.99999999999995,2.47138399856116,2.47138399856116,3,3,3.00000000000002,3.00000000000002,3.01658797025164,3.01658797025164,4.00000000000015,4.00000000000015,4.83802972671563,4.83802972671563,6.00000000000013,6.7597929884752,6.7597929884752,7.75839145747187,7.75839145747187,7.21784313776157,7.21784313776157,7.21784313776157,7,7,7,7,7,7,6.12859736744335,6.12859736744335,7,7,5.00000000000016,5.00000000000016,6.00000000000006,6.00000000000006,6.00000000000006,null,null,null,null,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5.3316992475256,5.3316992475256,5.3316992475256,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000012,5.00000000000012,5.00000000000012,null,null,null,5,5,5,5,5,5,5,5,5,6,6,5.99999999999984,5.99999999999984,5.99999999999984,null,null,null,null,null,null,5.99999999999984,5.99999999999984,5.99999999999984,null,null,null,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,7,8.00000000000001,8.00000000000001,8.00000000000001,9.58954206851602,9.58954206851602,11.4809636567066,11.4809636567066,11.4809636567066,13,13,13,13,13,12.0000000000001,12.0000000000001,12.0000000000001,12,12,12,12,12,10.7677690336862,10.7677690336862,10.7677690336862,11,11,10,10,10,9.84788093525697,9.84788093525697,9.65532615028523,9.65532615028523,9.65532615028523,8.18011330995997,8.18011330995997,7.7268658286849,7.7268658286849,7.7268658286849,7.29594537227835,7.29594537227835,6.11230984808653,6.11230984808653,6.99999999999984,6.99999999999984,6.99999999999984,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0437462476404068,0.0437462476404068,2.44237123145741,3,3,2.85176900680909,2.85176900680909,2,1.67247761313223,1.67247761313223,2,2,3,3,3.14334013103525,3.14334013103525,4,4,4.91479486498983,4.91479486498983,6,6,6.78634838135425,7,7,7.75839145747187,7.75839145747187,8,8,8,7,7,7,7,7,7,7,7,7,7,6,6,6.34909726313129,6.34909726313129,6.34909726313129,null,null,null,null,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,7,7,7,null,null,null,null,null,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.74227406062204,5.74227406062204,5.74227406062204,null,null,null,5,5,5,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,7,8.09278963099829,8.09278963099829,8.09278963099829,9.79477103425799,9.79477103425799,12,12,12,13,13,13,13,13,12.561487773855,12.561487773855,12.561487773855,12,12,12,12,12,10.7677690336862,10.7677690336862,10.7677690336862,10.7912147657597,10.7912147657597,10,10,10,10,10,9,9,9,8,8,8,8,8,7.29594537227835,7.29594537227835,6.88769015191359,6.88769015191359,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0437462476404103,0.0437462476404103,2.44237123145743,3,3,2.85176900680903,2.85176900680903,1.1018647810993,1.67247761313222,1.67247761313222,2.47138399856128,2.47138399856128,3.00000000000002,3.00000000000002,4,4,4.01658797025156,4.01658797025156,5.00000000000007,5.00000000000007,6,6,7,7,7,7,7,7,7,7,7,7,6,6,6.9956493775646,6.9956493775646,7,7,6.00000000000008,6.00000000000008,6.54802906341286,6.54802906341286,6.00000000000008,6.00000000000008,6.00000000000008,null,null,null,null,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5.00000000000008,5.00000000000008,5.00000000000008,7,7,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.25772593937794,5.25772593937794,5.25772593937794,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999992,5.99999999999992,6,6,6,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.37568129500647,7.37568129500647,7.37568129500647,8.09278963099837,8.09278963099837,8.09278963099837,10.0000000000001,10.0000000000001,12,12,12,12.1507268973025,12.1507268973025,12.1507268973025,12.9999999999999,12.9999999999999,12.5614877738551,12.5614877738551,12.5614877738551,12.0000000000001,12.0000000000001,12,12,12,10.7677690336862,10.7677690336862,10.7677690336862,10.7912147657597,10.7912147657597,9.99999999999997,9.99999999999997,9.99999999999997,9.99999999999992,9.99999999999992,8.99999999999995,8.99999999999995,8.99999999999995,8.00000000000001,8.00000000000001,8.00000000000006,8.00000000000006,8.00000000000006,7.29594537227833,7.29594537227833,6.99999999999992,6.99999999999992,6.00000000000008,6.00000000000008,6.00000000000008,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0874924952808136,0.0874924952808136,2.72118561572871,3,3,2,2,1.1018647810993,1.67247761313223,1.67247761313223,3,3,3.29496992677115,3.29496992677115,4,4,5,5,5.91479486498983,5.91479486498983,6,6,7,7,7,7,7,7,7,7,7,7,6,6,6.9956493775646,6.9956493775646,7,7,7,7,6.45197093658714,6.45197093658714,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,6,6,6,7,7,7,7,7,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,6,6,6,6,6,6,null,null,null,null,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8.37568129500639,8.37568129500639,8.37568129500639,9.09278963099829,9.09278963099829,9.09278963099829,10.794771034258,10.794771034258,11.4809636567065,11.4809636567065,11.4809636567065,12,12,12,11.6068838797331,11.6068838797331,13,13,13,12.9446361356396,12.9446361356396,12.346554026196,12.346554026196,12.346554026196,11,11,11,10.7912147657597,10.7912147657597,9.67008303309457,9.67008303309457,9.67008303309457,9,9,8.34467384971467,8.34467384971467,8.34467384971467,8.18011330996001,8.18011330996001,8.72686582868486,8.72686582868486,8.72686582868486,7,7,6,6,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.04374624764041,1.04374624764041,2.72118561572872,3.00000000000002,3.00000000000002,2.00000000000003,2.00000000000003,2,2.00000000000003,2.00000000000003,3,3,4,4,4.14334013103529,4.14334013103529,5.01658797025148,5.01658797025148,6,6,6,6,6.99999999999996,6.75979298847517,6.75979298847517,6.99999999999997,6.99999999999997,6.99999999999997,6.99999999999997,6.99999999999997,7,7,6,6,6.9956493775646,6.9956493775646,7,7,6.99999999999996,6.99999999999996,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.9037259119139,6.9037259119139,6.9037259119139,5.99999999999996,5.99999999999996,5.99999999999996,null,null,null,5.00000000000004,5.00000000000004,5.00000000000004,6,6,5,5,5,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.74227406062201,5.74227406062201,5.74227406062201,5,5,5,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5.50000000000001,5.50000000000001,5.50000000000001,5.99999999999996,5.99999999999996,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8.99999999999999,8.99999999999999,8.99999999999999,10,10,10,10.794771034258,10.794771034258,11.4809636567065,11.4809636567065,11.4809636567065,12,12,12,12,12,13,13,13,12.9446361356396,12.9446361356396,12,12,12,11,11,11,10.7912147657597,10.7912147657597,9.99999999999997,9.99999999999997,9.99999999999997,9,9,8.99999999999996,8.99999999999996,8.99999999999996,8.18011330996,8.18011330996,8.72686582868482,8.72686582868482,8.72686582868482,7.00000000000001,7.00000000000001,6.00000000000004,6.00000000000004,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.08749249528081,1.08749249528081,2.99999999999998,3.57737062025906,3.57737062025906,2.85176900680911,2.85176900680911,2.00000000000001,2.67247761313223,2.67247761313223,3.00000000000004,3.00000000000004,4.00000000000002,4.00000000000002,5,5,5.01658797025148,5.01658797025148,6,6,6,6,5.99999999999994,6.99999999999994,6.99999999999994,6.24160854252811,6.24160854252811,6.21784313776143,6.21784313776143,6.21784313776143,6.99999999999992,6.99999999999992,6.09483691237131,6.09483691237131,6.99999999999992,6.99999999999992,6.87140263255673,6.87140263255673,6,6,5.99999999999996,5.99999999999996,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000008,5.00000000000008,5.00000000000008,null,null,null,6,6,6,null,null,null,null,null,6,6,6,5.50000000000001,5.50000000000001,5.50000000000001,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000008,5.00000000000008,5.00000000000008,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.81985748903807,5.81985748903807,5.81985748903807,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,8.75136259001275,8.75136259001275,8.75136259001275,10,10,10,10.7947710342579,10.7947710342579,11.4809636567065,11.4809636567065,11.4809636567065,12,12,12,12.1965580601335,12.1965580601335,13,13,13,12.9446361356396,12.9446361356396,12,12,12,11.2322309663138,11.2322309663138,11.2322309663138,11,11,9.32991696690546,9.32991696690546,9.32991696690546,9,9,8,8,8,8,8,7.72686582868486,7.72686582868486,7.72686582868486,7.29594537227835,7.29594537227835,6.8876901519136,6.8876901519136,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.04374624764041,1.04374624764041,2.72118561572871,3.00000000000002,3.00000000000002,3,3,2.10186478109933,2.67247761313222,2.67247761313222,3.47138399856123,3.47138399856123,4.29496992677115,4.29496992677115,5,5,5.01658797025148,5.01658797025148,6,6,6,6,5.21365161864575,6.24020701152483,6.24020701152483,6,6,6,6,6,6,6,7,7,6,6,6.12859736744324,6.12859736744324,6,6,5.45197093658716,5.45197093658716,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5.99999999999996,5.99999999999996,5.99999999999996,null,null,null,null,null,null,null,null,null,null,null,5.99999999999996,5.99999999999996,5.99999999999996,5.63922904336763,5.63922904336763,5.63922904336763,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5.99999999999997,5.99999999999997,5.99999999999997,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.00000000000004,6.00000000000004,6.00000000000004,8.37568129500639,8.37568129500639,8.37568129500639,10,10,10,10,10,11,11,11,12,12,12,12.1965580601335,12.1965580601335,13,13,13,12.9446361356396,12.9446361356396,12.346554026196,12.346554026196,12.346554026196,11,11,11,11,11,9.67008303309457,9.67008303309457,9.67008303309457,9.00000000000001,9.00000000000001,8,8,8,8,8,7.72686582868486,7.72686582868486,7.72686582868486,7.29594537227835,7.29594537227835,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.04374624764052,1.04374624764052,2.72118561572871,3.42262937974082,3.42262937974082,3,3,3,2.67247761313219,2.67247761313219,3.47138399856117,3.47138399856117,4.29496992677107,4.29496992677107,5,5,5.01658797025136,5.01658797025136,6,6,6,6,5.21365161864566,6.24020701152477,6.24020701152477,5.99999999999997,5.99999999999997,6,6,6,6,6,7.00000000000012,7.00000000000012,6,6,6.87140263255689,6.87140263255689,6,6,6.00000000000006,6.00000000000006,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4.99999999999988,4.99999999999988,4.99999999999988,6,6,6,6.00000000000004,6.00000000000004,6.00000000000004,null,null,4.99999999999988,4.99999999999988,4.99999999999988,4.99999999999966,4.99999999999966,4.99999999999966,5.36077095663196,5.36077095663196,5.36077095663196,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.18014251096184,5.18014251096184,5.18014251096184,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,7,7,7,8.37568129500644,8.37568129500644,8.37568129500644,9.99999999999999,9.99999999999999,9.99999999999999,10.205228965742,10.205228965742,11,11,11,12,12,12,13,13,13,13,13,12.9446361356396,12.9446361356396,12.346554026196,12.346554026196,12.346554026196,11.7677690336862,11.7677690336862,11.7677690336862,11,11,9.67008303309465,9.67008303309465,9.67008303309465,9.15211906474306,9.15211906474306,7.99999999999992,7.99999999999992,7.99999999999992,8,8,7.72686582868486,7.72686582868486,7.72686582868486,7.29594537227835,7.29594537227835,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0874924952808118,0.0874924952808118,2.72118561572869,3.99999999999998,3.99999999999998,3.00000000000004,3.00000000000004,3,3,3,4,4,5,5,5,5,6,6,6,6,6,6,6,6.75979298847516,6.75979298847516,6.24160854252812,6.24160854252812,6,6,6,6,6,6,6,5.99999999999996,5.99999999999996,6,6,6,6,5.54802906341286,5.54802906341286,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999996,5.99999999999996,5.99999999999996,6,6,6,5.67461862034849,5.67461862034849,5.67461862034849,null,null,6,6,6,7.8032317398746,7.8032317398746,7.8032317398746,8.6392290433676,8.6392290433676,8.6392290433676,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.00000000000004,6.00000000000004,7,7,7,8.00000000000001,8.00000000000001,8.00000000000001,10.0927896309983,10.0927896309983,10.0927896309983,10.205228965742,10.205228965742,11,11,11,12,12,12,13,13,13,13,13,13,13,13,13,13,11.7677690336862,11.7677690336862,11.7677690336862,11.2087852342403,11.2087852342403,9.00000000000003,9.00000000000003,9.00000000000003,9.15211906474306,9.15211906474306,8.65532615028535,8.65532615028535,8.65532615028535,8.00000000000001,8.00000000000001,7.72686582868486,7.72686582868486,7.72686582868486,7.29594537227835,7.29594537227835,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0437462476404015,0.0437462476404015,2.44237123145738,3.42262937974089,3.42262937974089,4,4,3.1018647810994,3.00000000000012,3.00000000000012,4,4,4.99999999999991,4.99999999999991,5.00000000000002,5.00000000000002,6,6,6,6,6,6,6,6.75979298847516,6.75979298847516,6,6,6,6,6,6,6,5.99999999999999,5.99999999999999,5.0043506224354,5.0043506224354,6,6,6,6,5.4519709365872,5.4519709365872,6,6,6,6,6,5.00000000000012,5.00000000000012,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,6,6,6,6.99999999999988,6.99999999999988,6.99999999999988,6,6,6,6,6,7.80323173987436,7.80323173987436,7.80323173987436,7.63922904336763,7.63922904336763,7.63922904336763,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999988,5.99999999999988,5.99999999999988,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6.99999999999988,6.99999999999988,7,7,7,8.37568129500639,8.37568129500639,8.37568129500639,10.9072103690016,10.9072103690016,10.9072103690016,10.2052289657422,10.2052289657422,11.0000000000001,11.0000000000001,11.0000000000001,12.0000000000001,12.0000000000001,12.0000000000001,13,13,13.0000000000001,13.0000000000001,13.0000000000001,13,13,13,13,13,11.7677690336862,11.7677690336862,11.7677690336862,11,11,9.67008303309457,9.67008303309457,9.67008303309457,9.15211906474314,9.15211906474314,8.99999999999988,8.99999999999988,8.99999999999988,8.18011330996001,8.18011330996001,7.72686582868478,7.72686582868478,7.72686582868478,7.29594537227835,7.29594537227835,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2.16355684718612,3.42262937974096,3.42262937974096,4,4,4,4,4,4,4,4.29496992677111,4.29496992677111,5.14334013103525,5.14334013103525,6,6,6,6,5.99999999999998,5.99999999999998,6,6.75979298847507,6.75979298847507,6,6,6,6,6,5.9999999999999,5.9999999999999,5.90516308762877,5.90516308762877,5.00435062243552,5.00435062243552,5.99999999999989,5.99999999999989,6,6,5.99999999999993,5.99999999999993,6,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6,6,5.80323173987474,5.80323173987474,5.80323173987474,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000008,5.00000000000008,5.00000000000008,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6.00000000000012,6.00000000000012,7.00000000000012,7.00000000000012,7.00000000000012,8.37568129500647,8.37568129500647,8.37568129500647,10.0927896309983,10.0927896309983,10.0927896309983,12,12,12.0000000000001,12.0000000000001,12.0000000000001,13,13,13,13.0000000000001,13.0000000000001,14,14,14,13,13,13,13,13,11.7677690336862,11.7677690336862,11.7677690336862,11,11,9.67008303309457,9.67008303309457,9.67008303309457,9.84788093525684,9.84788093525684,8,8,8,8.18011330996,8.18011330996,7,7,7,7.29594537227826,7.29594537227826,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3.51244436797517e-15,3.51244436797517e-15,2.1635568471862,4,4,4,4,4,4,4,4,4,4,4,5.14334013103524,5.14334013103524,5.99999999999992,5.99999999999992,6,6,5.83802972671544,5.83802972671544,6,6.00000000000006,6.00000000000006,6,6,6,6,6,5.16891314405508,5.16891314405508,6,6,6,6,5.1285973674432,5.1285973674432,5.99999999999994,5.99999999999994,5.45197093658714,5.45197093658714,6,6,6,6,6,5.99999999999992,5.99999999999992,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,5.97368456289561,5.97368456289561,5.97368456289561,6.99999999999992,6.99999999999992,6.99999999999992,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.64016747071255,5.64016747071255,5.64016747071255,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.00000000000001,6.00000000000001,6.00000000000001,7.00000000000007,7.00000000000007,8,8,8,9.00000000000008,9.00000000000008,9.00000000000008,10.1855792619967,10.1855792619967,10.1855792619967,12.0000000000001,12.0000000000001,12.4809636567065,12.4809636567065,12.4809636567065,13,13,13,13.8034419398665,13.8034419398665,14,14,14,12.9446361356396,12.9446361356396,13,13,13,11.7677690336862,11.7677690336862,11.7677690336862,10.9999999999999,10.9999999999999,9.67008303309457,9.67008303309457,9.67008303309457,9,9,8.00000000000005,8.00000000000005,8.00000000000005,8.18011330996,8.18011330996,7,7,7,6.59189074455668,6.59189074455668,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3.13256327890603e-14,3.13256327890603e-14,0.0437462476404836,0.0437462476404836,3.16355684718612,4,4,4,4,4,4,4,4,4,3.99999999999994,3.99999999999994,4.99999999999993,4.99999999999993,5.01658797025148,5.01658797025148,6,6,5.83802972671544,5.83802972671544,6,6.7597929884751,6.7597929884751,6,6,6,6,6,5.00000000000008,5.00000000000008,5.99999999999999,5.99999999999999,5.99999999999992,5.99999999999992,5.00000000000008,5.00000000000008,5.27783350512363,5.27783350512363,5.45197093658718,5.45197093658718,5.99999999999997,5.99999999999997,5.99999999999997,6,6,5.00000000000007,5.00000000000007,null,null,5.49999999999998,5.49999999999998,5.49999999999998,5.49999999999996,5.49999999999996,5.50000000000001,5.50000000000001,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.97368456289557,5.97368456289557,5.97368456289557,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,6,6,6,5.99999999999997,5.99999999999997,5.99999999999997,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.14051877511445,6.14051877511445,6.14051877511445,7.89883377299935,7.89883377299935,8.00000000000013,8.00000000000013,8.00000000000013,10.0000000000001,10.0000000000001,10.0000000000001,11.0927896309984,11.0927896309984,11.0927896309984,12.7947710342579,12.7947710342579,12.4809636567065,12.4809636567065,12.4809636567065,13,13,13,13.8034419398665,13.8034419398665,13.5614877738551,13.5614877738551,13.5614877738551,12.9446361356396,12.9446361356396,13,13,13,11.7677690336861,11.7677690336861,11.7677690336861,10.2087852342403,10.2087852342403,9.67008303309454,9.67008303309454,9.67008303309454,9,9,8.65532615028531,8.65532615028531,8.65532615028531,8.18011330995999,8.18011330995999,7,7,7,6.29594537227835,6.29594537227835,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.390149635387075,0.390149635387075,1,1,3.16355684718612,4,4,4,4,4,4.00000000000005,4.00000000000005,4,4,3.29496992677121,3.29496992677121,4.14334013103525,4.14334013103525,5.01658797025148,5.01658797025148,6,6,5.83802972671544,5.83802972671544,6,6,6,6,6,6,6,6,6,6,5.90516308762877,5.90516308762877,5.00000000000008,5.00000000000008,6,6,5.27783350512361,5.27783350512361,5.99999999999988,5.99999999999988,5.65090273686868,5.65090273686868,5.65090273686868,6,6,5.87737555149531,5.87737555149531,5.99999999999995,5.99999999999995,5.30825299286495,5.30825299286495,5.30825299286495,5.01235175458563,5.01235175458563,5.64331440437614,5.64331440437614,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,6,6,6,5.64016747071246,5.64016747071246,5.64016747071246,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.00000000000008,7.00000000000008,7.00000000000008,8.89883377299927,8.89883377299927,9.64412851889007,9.64412851889007,9.64412851889007,11.3756812950064,11.3756812950064,11.3756812950064,11.9999999999999,11.9999999999999,11.9999999999999,12,12,12.4809636567065,12.4809636567065,12.4809636567065,13.1507268973025,13.1507268973025,13.1507268973025,14,14,14,14,14,13,13,12.346554026196,12.346554026196,12.346554026196,11,11,11,10.2087852342403,10.2087852342403,9.32991696690543,9.32991696690543,9.32991696690543,9,9,8.34467384971464,8.34467384971464,8.34467384971464,8,8,7,7,7,6.29594537227835,6.29594537227835,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.390149635387075,0.390149635387075,1,1,3.16355684718623,4,4,4,4,4,4.67247761313223,4.67247761313223,3.99999999999992,3.99999999999992,3.99999999999992,3.99999999999992,4.14334013103518,4.14334013103518,5.01658797025148,5.01658797025148,6.00000000000008,6.00000000000008,5.8380297267155,5.8380297267155,6,6,6,6.00000000000006,6.00000000000006,6,6,6,6.00000000000008,6.00000000000008,6.00000000000001,6.00000000000001,5.99564937756468,5.99564937756468,6.00000000000008,6.00000000000008,5.00000000000021,5.00000000000021,4.45197093658723,4.45197093658723,5.34909726313124,5.34909726313124,5.34909726313124,6.00000000000008,6.00000000000008,6,6,5.3951016932349,5.3951016932349,6,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8,8,8,8.89883377299927,8.89883377299927,9.64412851889004,9.64412851889004,9.64412851889004,11.3756812950065,11.3756812950065,11.3756812950065,11.0927896309982,11.0927896309982,11.0927896309982,11.9999999999999,11.9999999999999,12.4809636567065,12.4809636567065,12.4809636567065,13.1507268973024,13.1507268973024,13.1507268973024,14.0000000000001,14.0000000000001,14.0000000000001,14.0000000000001,14.0000000000001,13,13,12.346554026196,12.346554026196,12.346554026196,11,11,11,10.2087852342403,10.2087852342403,9.32991696690546,9.32991696690546,9.32991696690546,9,9,7.99999999999995,7.99999999999995,7.99999999999995,8,8,7,7,7,6.29594537227835,6.29594537227835,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.390149635387075,0.390149635387075,1,1,1.72118561572865,4,4,4,4,4,4.67247761313222,4.67247761313222,5,5,5,5,5,5,5,5,5,5,5.16197027328462,5.16197027328462,5.99999999999998,6,6,5.24160854252811,5.24160854252811,5.99999999999998,5.99999999999998,5.99999999999998,5.00000000000001,5.00000000000001,5.90516308762869,5.90516308762869,5,5,4.99999999999992,4.99999999999992,2.44433298975266,2.44433298975266,3.25985468293568,3.25985468293568,6,6,6,5,5,5.99999999999993,5.99999999999993,6.00000000000005,6.00000000000005,6,6,6,5.99999999999992,5.99999999999992,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5.50000000000002,5.50000000000002,5.50000000000002,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.99999999999993,7.99999999999993,7.99999999999993,8.89883377299934,8.89883377299934,10.0000000000001,10.0000000000001,10.0000000000001,10.3756812950064,10.3756812950064,10.3756812950064,12,12,12,13,13,13,13,13,14,14,14,13.1965580601335,13.1965580601335,13,13,13,13,13,12.346554026196,12.346554026196,12.346554026196,10.7677690336862,10.7677690336862,10.7677690336862,10.2087852342404,10.2087852342404,9.00000000000003,9.00000000000003,9.00000000000003,9,9,8.65532615028528,8.65532615028528,8.65532615028528,8,8,7,7,7,6.29594537227841,6.29594537227841,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.390149635387075,0.390149635387075,1,1,1.00000000000006,4,4,4,4,4,4.67247761313222,4.67247761313222,5,5,5,5,5,5,5,5,5,5,5.99999999999993,5.99999999999993,5.78634838135427,6,6,5.00000000000002,5.00000000000002,5.78215686223857,5.78215686223857,5.78215686223857,5.16891314405507,5.16891314405507,5.00000000000007,5.00000000000007,5,5,4.00000000000008,4.00000000000008,1.44433298975282,1.44433298975282,3.25985468293568,3.25985468293568,6,6,6,5,5,5.12262444850477,5.12262444850477,6.604898306765,6.604898306765,6,6,6,5.01235175458563,5.01235175458563,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5.74227406062202,5.74227406062202,5.74227406062202,6,6,6,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.14051877511445,7.14051877511445,7.14051877511445,9.89883377299919,9.89883377299919,10.64412851889,10.64412851889,10.64412851889,10.7513625900128,10.7513625900128,10.7513625900128,12.0927896309983,12.0927896309983,12.0927896309983,13,13,13,13,13,14,14,14,13,13,13,13,13,13,13,12.346554026196,12.346554026196,12.346554026196,10.7677690336862,10.7677690336862,10.7677690336862,10.9999999999999,10.9999999999999,9.3299169669054,9.3299169669054,9.3299169669054,9,9,8.00000000000005,8.00000000000005,8.00000000000005,8,8,7,7,7,6.99999999999994,6.99999999999994,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.390149635387075,0.390149635387075,7.02488873594921e-15,7.02488873594921e-15,0.72118561572875,3,3,4,4,4,4.67247761313223,4.67247761313223,4.47138399856132,4.47138399856132,5.29496992677115,5.29496992677115,5,5,4.99999999999984,4.99999999999984,5,5,5.83802972671531,5.83802972671531,5.21365161864588,6,6,5.00000000000004,5.00000000000004,5,5,5,3.83108685594475,3.83108685594475,4.09483691237138,4.09483691237138,3.9956493775646,3.9956493775646,0.385792102329611,0.385792102329611,1.00000000000032,1.00000000000032,4.00000000000016,4.00000000000016,null,null,null,6,6,5.87737555149516,5.87737555149516,6,6,6.99999999999995,6.99999999999995,6.99999999999995,6.98764824541445,6.98764824541445,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,null,null,null,5.00000000000016,5.00000000000016,5.00000000000016,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8.89883377299941,8.89883377299941,10.6441285188901,10.6441285188901,10.6441285188901,11.3756812950065,11.3756812950065,11.3756812950065,12.0927896309983,12.0927896309983,12.0927896309983,13,13,12.4809636567066,12.4809636567066,12.4809636567066,13.9999999999998,13.9999999999998,13.9999999999998,13,13,13.561487773855,13.561487773855,13.561487773855,13,13,11.9999999999999,11.9999999999999,11.9999999999999,11.767769033686,11.767769033686,11.767769033686,10.2087852342403,10.2087852342403,9,9,9,9,9,7.99999999999994,7.99999999999994,7.99999999999994,7.18011330995998,7.18011330995998,7,7,7,6.99999999999984,6.99999999999984,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.390149635387075,0.390149635387075,0.04374624764033,0.04374624764033,1,3,3,4,4,4,4.67247761313223,4.67247761313223,5,5,5.29496992677115,5.29496992677115,5,5,4.0165879702514,4.0165879702514,5.00000000000001,5.00000000000001,5,5,6.00000000000008,6.00000000000002,6.00000000000002,5.24160854252813,5.24160854252813,5.00000000000005,5.00000000000005,5.00000000000005,2.83108685594483,2.83108685594483,5,5,3.99129875512927,3.99129875512927,0.257194734886362,0.257194734886362,3.00000000000004,3.00000000000004,5,5,null,null,null,null,null,4.99999999999993,4.99999999999993,6.00000000000002,6.00000000000002,6.69174700713508,6.69174700713508,6.69174700713508,6.98764824541445,6.98764824541445,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.00000000000008,6.00000000000008,6.00000000000008,6.00000000000008,6.00000000000008,6.00000000000008,6.00000000000008,6.00000000000008,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,9.7976675459986,9.7976675459986,10.6441285188901,10.6441285188901,10.6441285188901,12,12,12,12.0927896309983,12.0927896309983,12.0927896309983,13,13,13.4809636567065,13.4809636567065,13.4809636567065,13,13,13,13,13,13.561487773855,13.561487773855,13.561487773855,13,13,11.346554026196,11.346554026196,11.346554026196,11,11,11,10,10,9,9,9,9,9,7.65532615028533,7.65532615028533,7.65532615028533,7,7,7,7,7,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.390149635387075,0.390149635387075,1,1,1,3,3,4,4,4,4.67247761313223,4.67247761313223,5,5,5.29496992677115,5.29496992677115,5,5,4.98341202974852,4.98341202974852,4.91479486498983,4.91479486498983,5,5,5,5.75979298847516,5.75979298847516,5.24160854252813,5.24160854252813,4.4356862755229,4.4356862755229,4.4356862755229,3.83108685594491,3.83108685594491,5,5,3,3,1,1,2.55566701024726,2.55566701024726,5,5,null,null,null,null,null,5.8773755514953,5.8773755514953,5.7902033864699,5.7902033864699,7,7,7,6.98764824541445,6.98764824541445,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8.89883377299927,8.89883377299927,10,10,10,12,12,12,12.0927896309983,12.0927896309983,12.0927896309983,13,13,13,13,13,13,13,13,13,13,13.561487773855,13.561487773855,13.561487773855,13,13,12,12,12,11,11,11,10,10,9,9,9,9,9,7.65532615028533,7.65532615028533,7.65532615028533,7,7,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4.67247761313222,4.67247761313222,5,5,5,5,5.85665986896475,5.85665986896475,4.98341202974852,4.98341202974852,4.91479486498983,4.91479486498983,4.16197027328462,4.16197027328462,4.21365161864581,5.7597929884751,5.7597929884751,4.24160854252813,4.24160854252813,4.78215686223857,4.78215686223857,4.78215686223857,5.16891314405509,5.16891314405509,4.00000000000007,4.00000000000007,4.00000000000008,4.00000000000008,0.87140263255689,0.87140263255689,3.83350051537098,3.83350051537098,null,null,null,null,null,null,null,null,null,6.00000000000008,6.00000000000008,6.30825299286493,6.30825299286493,6.30825299286493,6,6,null,null,null,null,null,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8.00000000000007,8.00000000000007,10.6441285188902,10.6441285188902,10.6441285188902,12,12,12,12.9072103690016,12.9072103690016,12.9072103690016,12.794771034258,12.794771034258,13,13,13,13,13,13,13,13,13.561487773855,13.561487773855,13.561487773855,12,12,11.346554026196,11.346554026196,11.346554026196,10.7677690336861,10.7677690336861,10.7677690336861,10,10,8.6700830330946,8.6700830330946,8.6700830330946,9,9,8,8,8,7,7,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4.67247761313223,4.67247761313223,5,5,5,5,5.85665986896475,5.85665986896475,4.98341202974852,4.98341202974852,4.91479486498983,4.91479486498983,5,5,5,5,5,4.24160854252813,4.24160854252813,5,5,5,5.16891314405509,5.16891314405509,4.90516308762876,4.90516308762876,4.9956493775646,4.9956493775646,2.12859736744321,2.12859736744321,5,5,null,null,null,null,null,null,null,null,null,null,null,6.6917470071351,6.6917470071351,6.6917470071351,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6.5,6.5,6.5,8.89883377299927,8.89883377299927,11.6441285188901,11.6441285188901,11.6441285188901,11.6243187049936,11.6243187049936,11.6243187049936,12,12,12,12.794771034258,12.794771034258,13,13,13,13,13,13,13,13,13,13,13,12,12,11.346554026196,11.346554026196,11.346554026196,10,10,10,10,10,9,9,9,9,9,8,8,8,7,7,7,7,7,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.956253752359593,0.956253752359593,0,1.99999999999991,1.99999999999991,3,3,3.8981352189007,4.67247761313223,4.67247761313223,5,5,5,5,6,6,5.98341202974852,5.98341202974852,5,5,4.83802972671547,4.83802972671547,5.78634838135416,5,5,5,5,5.78215686223855,5.78215686223855,5.78215686223855,4.16891314405506,4.16891314405506,5.90516308762862,5.90516308762862,5.00000000000016,5.00000000000016,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6.85948122488564,6.85948122488564,6.85948122488564,8.89883377299941,8.89883377299941,10.64412851889,10.64412851889,10.64412851889,11.3756812950062,11.3756812950062,11.3756812950062,12,12,12,13,13,13,13,13,13,13,13,14,14,13,13,13,12,12,11.346554026196,11.346554026196,11.346554026196,10.0000000000001,10.0000000000001,10.0000000000001,9.79121476575973,9.79121476575973,9,9,9,8,8,7.65532615028539,7.65532615028539,7.65532615028539,7,7,6.99999999999996,6.99999999999996,6.99999999999996,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.956253752359593,0.956253752359593,0,1.42262937974094,1.42262937974094,3,3,3.8981352189007,4.67247761313222,4.67247761313222,5,5,5,5,6,6,5.98341202974852,5.98341202974852,5,5,4.99999999999999,4.99999999999999,5.2136516186458,5,5,5,5,5.78215686223855,5.78215686223855,5.78215686223855,4.00000000000001,4.00000000000001,5.00000000000007,5.00000000000007,5.99564937756452,5.99564937756452,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6.99999999999999,6.99999999999999,6.99999999999999,9.79766754599846,9.79766754599846,10.0000000000001,10.0000000000001,10.0000000000001,10.3756812950065,10.3756812950065,10.3756812950065,12.0927896309983,12.0927896309983,12.0927896309983,13,13,13,13,13,13,13,13,14,14,13,13,13,12,12,11,11,11,10.7677690336861,10.7677690336861,10.7677690336861,9.99999999999998,9.99999999999998,9,9,9,8,8,7.99999999999997,7.99999999999997,7.99999999999997,7,7,6.72686582868488,6.72686582868488,6.72686582868488,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.95625375235944,0.95625375235944,0,1.42262937974073,1.42262937974073,3,3,3.8981352189007,4.67247761313212,4.67247761313212,4.99999999999968,4.99999999999968,5,5,5.99999999999984,5.99999999999984,5.98341202974836,5.98341202974836,5,5,5.83802972671534,5.83802972671534,5,5,5,5.00000000000012,5.00000000000012,4.99999999999987,4.99999999999987,4.99999999999987,4.00000000000016,4.00000000000016,4,4,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999998,5.99999999999998,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.79494108638237,5.79494108638237,5.79494108638237,6,6,6,6.63007630228809,6.63007630228809,6.63007630228809,7.14051877511454,7.14051877511454,7.14051877511454,9.00000000000016,9.00000000000016,9.0000000000001,9.0000000000001,9.0000000000001,10.3756812950063,10.3756812950063,10.3756812950063,12.0927896309983,12.0927896309983,12.0927896309983,12.2052289657421,12.2052289657421,12.4809636567066,12.4809636567066,12.4809636567066,13,13,13,12.9999999999999,12.9999999999999,12.561487773855,12.561487773855,12.561487773855,12,12,11,11,11,10.0000000000001,10.0000000000001,10.0000000000001,10,10,9,9,9,8,8,8,8,8,7,7,6.72686582868486,6.72686582868486,6.72686582868486,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.422629379740889,0.422629379740889,3,3,3.8981352189007,4,4,3,3,5,5,5,5,5,5,5,5,5.16197027328456,5.16197027328456,5,5,5,5.75839145747187,5.75839145747187,4.21784313776145,4.21784313776145,4.21784313776145,5,5,4,4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5.8844916325098,5.8844916325098,6,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6,6,6,6.73984739542386,6.73984739542386,6.73984739542386,8.14051877511438,8.14051877511438,8.14051877511438,10,10,9.64412851889007,9.64412851889007,9.64412851889007,10,10,10,12,12,12,12.794771034258,12.794771034258,13,13,13,13,13,13,12.1965580601335,12.1965580601335,12.438512226145,12.438512226145,12.438512226145,12,12,11,11,11,10.7677690336862,10.7677690336862,10.7677690336862,10,10,9,9,9,8,8,8,8,8,7,7,6.72686582868486,6.72686582868486,6.72686582868486,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.422629379740889,0.422629379740889,2.14823099319091,2.14823099319091,3.8981352189007,3,3,3,3,5,5,5,5,5,5,5,5,5,5,5,5.75979298847516,5.75979298847516,5.75839145747187,5.75839145747187,4.21784313776145,4.21784313776145,4.21784313776145,5.83108685594491,5.83108685594491,4.90516308762876,4.90516308762876,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.1155083674902,5.1155083674902,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6.41219368573633,6.41219368573633,6.41219368573633,7.36992369771193,7.36992369771193,7.36992369771193,8,8,8,9.89883377299927,9.89883377299927,9.64412851889007,9.64412851889007,9.64412851889007,10.3756812950064,10.3756812950064,10.3756812950064,12,12,12,12.794771034258,12.794771034258,13,13,13,13,13,13,12,12,12.438512226145,12.438512226145,12.438512226145,11.0553638643604,11.0553638643604,10.346554026196,10.346554026196,10.346554026196,10,10,10,10,10,9,9,9,8,8,7.65532615028533,7.65532615028533,7.65532615028533,7,7,6.72686582868486,6.72686582868486,6.72686582868486,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2.8981352189007,1.32752238686777,1.32752238686777,3,3,4,4,4,4,5,5,5.91479486498983,5.91479486498983,5,5,5,5.24020701152484,5.24020701152484,5.24160854252813,5.24160854252813,5.78215686223855,5.78215686223855,5.78215686223855,5.83108685594491,5.83108685594491,5.09483691237124,5.09483691237124,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,null,null,null,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,7,7.63007630228807,7.63007630228807,7.63007630228807,8.14051877511438,8.14051877511438,8.14051877511438,9,9,9.64412851889007,9.64412851889007,9.64412851889007,11,11,11,12.9072103690017,12.9072103690017,12.9072103690017,12.794771034258,12.794771034258,12.5190363432935,12.5190363432935,12.5190363432935,13,13,13,12.8034419398665,12.8034419398665,12,12,12,11.9446361356396,11.9446361356396,11,11,11,9.76776903368617,9.76776903368617,9.76776903368617,9,9,9,9,9,8,8,8,8,8,7.81988669003999,7.81988669003999,6.72686582868486,6.72686582868486,6.72686582868486,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.14823099319091,1.14823099319091,2,1,1,3.47138399856123,3.47138399856123,4,4,4,4,5.01658797025148,5.01658797025148,5.08520513501017,5.08520513501017,5,5,5,5.24020701152484,5.24020701152484,5.24160854252813,5.24160854252813,5,5,5,5.83108685594491,5.83108685594491,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.35668559562389,5.35668559562389,null,null,null,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,6.58780631426367,6.58780631426367,6.58780631426367,7.63007630228807,7.63007630228807,7.63007630228807,8,8,8,9,9,9,9,9,11,11,11,12.9072103690017,12.9072103690017,12.9072103690017,12.794771034258,12.794771034258,12,12,12,12.8492731026975,12.8492731026975,12.8492731026975,13,13,12,12,12,12,12,11,11,11,9.76776903368617,9.76776903368617,9.76776903368617,9.7912147657597,9.7912147657597,9,9,9,8,8,8,8,8,8,8,6.72686582868486,6.72686582868486,6.72686582868486,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.721185615728705,0,0,0,0,0.898135218900704,2.34495522626445,2.34495522626445,3.52861600143877,3.52861600143877,4,4,3,3,5,5,5,5,5,5,5,5,5,4.48321708505627,4.48321708505627,3.78215686223855,3.78215686223855,3.78215686223855,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,7,7,7,7.63007630228807,7.63007630228807,7.63007630228807,9,9,9,9,9,9,9,9,11,11,11,12,12,12,12.794771034258,12.794771034258,12.4809636567065,12.4809636567065,12.4809636567065,12,12,12,12,12,12,12,12,10.9446361356396,10.9446361356396,10,10,10,9.76776903368617,9.76776903368617,9.76776903368617,9,9,8.67008303309457,8.67008303309457,8.67008303309457,8,8,8,8,8,8,8,6.72686582868486,6.72686582868486,6.72686582868486,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3.51244436797461e-15,3.51244436797461e-15,0.721185615728728,0,0,0,0,0.898135218900632,3.34495522626445,3.34495522626445,3.52861600143876,3.52861600143876,3.29496992677113,3.29496992677113,3.00000000000001,3.00000000000001,5.01658797025148,5.01658797025148,5.08520513501024,5.08520513501024,5.00000000000001,5.00000000000001,5,5.00000000000008,5.00000000000008,3.72482562758444,3.72482562758444,3.56431372447718,3.56431372447718,3.56431372447718,5.16891314405507,5.16891314405507,4.0948369123713,4.0948369123713,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999992,5.99999999999992,6,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5.99999999999992,5.99999999999992,5.99999999999992,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,7,7,7,7.36992369771198,7.36992369771198,7.36992369771198,8.14051877511445,8.14051877511445,8.14051877511445,9,9,8.99999999999995,8.99999999999995,8.99999999999995,10.9999999999999,10.9999999999999,10.9999999999999,12.9072103690017,12.9072103690017,12.9072103690017,12.794771034258,12.794771034258,12.4809636567065,12.4809636567065,12.4809636567065,12,12,12,12,12,11.561487773855,11.561487773855,11.561487773855,10.9446361356396,10.9446361356396,10,10,10,9.76776903368617,9.76776903368617,9.76776903368617,9,9,8.67008303309457,8.67008303309457,8.67008303309457,8,8,7.65532615028536,7.65532615028536,7.65532615028536,7.18011330996007,7.18011330996007,7,7,7,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0437462476404068,0.0437462476404068,0.999999999999942,0,0,0,0,0,3.34495522626437,3.34495522626437,3.52861600143856,3.52861600143856,3,3,3.14334013103533,3.14334013103533,5.01658797025156,5.01658797025156,5.99999999999992,5.99999999999992,5.16197027328462,5.16197027328462,5.00000000000002,5.99999999999992,5.99999999999992,4.24160854252819,4.24160854252819,4.56431372447715,4.56431372447715,4.56431372447715,4.99999999999993,4.99999999999993,4.90516308762869,4.90516308762869,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000008,5.00000000000008,6,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,7,7,7,7.99999999999992,7.99999999999992,7.99999999999992,8.99999999999993,8.99999999999993,8.99999999999993,9,9,8.35587148110998,8.35587148110998,8.35587148110998,10.3756812950064,10.3756812950064,10.3756812950064,12.9072103690017,12.9072103690017,12.9072103690017,12.794771034258,12.794771034258,12.4809636567065,12.4809636567065,12.4809636567065,11.8492731026975,11.8492731026975,11.8492731026975,11.9999999999999,11.9999999999999,11.561487773855,11.561487773855,11.561487773855,10.9446361356396,10.9446361356396,10,10,10,9.76776903368619,9.76776903368619,9.76776903368619,9.00000000000002,9.00000000000002,8.6700830330946,8.6700830330946,8.6700830330946,8.00000000000008,8.00000000000008,8,8,8,8,8,6.99999999999998,6.99999999999998,6.99999999999998,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0437462476404068,0.0437462476404068,0.278814384271295,0,0,0,0,0,2.34495522626426,2.34495522626426,0.99999999999992,0.99999999999992,2.99999999999994,2.99999999999994,4.14334013103525,4.14334013103525,5.98341202974852,5.98341202974852,5.00000000000007,5.00000000000007,6,6,5.21365161864573,5,5,5.00000000000006,5.00000000000006,5.21784313776143,5.21784313776143,5.21784313776143,4.16891314405509,4.16891314405509,3.99999999999999,3.99999999999999,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6,5.99999999999998,5.99999999999998,5.99999999999998,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5.00000000000008,5.00000000000008,5.00000000000008,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,7,7,7,7,8.14051877511437,8.14051877511437,8.14051877511437,8.99999999999993,8.99999999999993,9,9,9,10,10,10,12.9072103690016,12.9072103690016,12.9072103690016,12.794771034258,12.794771034258,12.4809636567065,12.4809636567065,12.4809636567065,11,11,11,11,11,11,11,11,10.9446361356395,10.9446361356395,10,10,10,10,10,10,9.20878523424036,9.20878523424036,9,9,9,9,9,8,8,8,7.99999999999998,7.99999999999998,6.72686582868488,6.72686582868488,6.72686582868488,6.00000000000008,6.00000000000008,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.0437462476404033,0.0437462476404033,0.278814384271272,0,0,0,0,0,0,0,0,0,2.29496992677099,2.29496992677099,4.14334013103525,4.14334013103525,5.98341202974852,5.98341202974852,5.91479486498976,5.91479486498976,6,6,5,5.00000000000008,5.00000000000008,5.75839145747181,5.75839145747181,5,5,5,4.16891314405501,4.16891314405501,3.90516308762877,3.90516308762877,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999992,5.99999999999992,6,6,5.72449609558098,5.72449609558098,5.72449609558098,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5.99999999999992,5.99999999999992,5.99999999999992,5,5,5,5,5,5,null,null,null,null,null,5.50000000000002,5.50000000000002,5.50000000000002,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.99999999999997,6.99999999999997,6.99999999999997,7,7,7,8.00000000000007,8.00000000000007,8.00000000000007,8.1011662270008,8.1011662270008,8.99999999999992,8.99999999999992,8.99999999999992,10.3756812950064,10.3756812950064,10.3756812950064,11.9999999999999,11.9999999999999,11.9999999999999,13,13,12.4809636567065,12.4809636567065,12.4809636567065,11.1507268973025,11.1507268973025,11.1507268973025,11,11,11.561487773855,11.561487773855,11.561487773855,10.0553638643605,10.0553638643605,10,10,10,9.99999999999998,9.99999999999998,9.99999999999998,9.99999999999992,9.99999999999992,8.99999999999997,8.99999999999997,8.99999999999997,8.99999999999992,8.99999999999992,8,8,8,7.81988669004001,7.81988669004001,7,7,7,6.99999999999994,6.99999999999994,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.29496992677115,0.29496992677115,4.14334013103525,4.14334013103525,5.98341202974844,5.98341202974844,5.00000000000008,5.00000000000008,6,6,5,5.99999999999992,5.99999999999992,5,5,4.99999999999994,4.99999999999994,4.99999999999994,3.16891314405507,3.16891314405507,4,4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,6,6,5.27550390441904,5.27550390441904,5.27550390441904,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5.00000000000001,5.00000000000001,5.00000000000001,null,null,null,null,null,5.69754493705107,5.69754493705107,5.69754493705107,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.58780631426362,6.58780631426362,6.58780631426362,7,7,7,8.85948122488556,8.85948122488556,8.85948122488556,8.89883377299927,8.89883377299927,8.00000000000003,8.00000000000003,8.00000000000003,10,10,10,11,11,11,12.9999999999999,12.9999999999999,12.4809636567065,12.4809636567065,12.4809636567065,11.8492731026975,11.8492731026975,11.8492731026975,11,11,10.561487773855,10.561487773855,10.561487773855,11,11,10,10,10,9.76776903368611,9.76776903368611,9.76776903368611,9,9,8.67008303309451,8.67008303309451,8.67008303309451,8,8,8,8,8,8,8,7,7,7,6.29594537227841,6.29594537227841,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.29496992677115,0.29496992677115,4.14334013103525,4.14334013103525,5.01658797025148,5.01658797025148,6,6,6,6,5,5,5,5,5,4.21784313776145,4.21784313776145,4.21784313776145,3,3,4,4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5.16272331965232,5.16272331965232,5.16272331965232,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,7,7,7,8.14051877511438,8.14051877511438,8.14051877511438,8.89883377299927,8.89883377299927,8.35587148110993,8.35587148110993,8.35587148110993,10,10,10,11,11,11,12.205228965742,12.205228965742,12.4809636567065,12.4809636567065,12.4809636567065,12,12,12,11,11,10.561487773855,10.561487773855,10.561487773855,10.9446361356396,10.9446361356396,10,10,10,9,9,9,9,9,8,8,8,8,8,8,8,8,8,8,7,7,7,7,7,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.528616001438765,0.528616001438765,0.589939853542301,0.589939853542301,4.14334013103525,4.14334013103525,5.01658797025148,5.01658797025148,5.08520513501017,5.08520513501017,5.16197027328456,5.16197027328456,5,5,5,4.24160854252813,4.24160854252813,4,4,4,3,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,7,7,7,8,8,8,8.89883377299927,8.89883377299927,8.35587148110993,8.35587148110993,8.35587148110993,10,10,10,11,11,11,12.794771034258,12.794771034258,12,12,12,12,12,12,11,11,10.561487773855,10.561487773855,10.561487773855,10.9446361356396,10.9446361356396,10,10,10,9,9,9,9.2087852342403,9.2087852342403,8,8,8,8,8,8,8,8,8,8,7,7,7,7,7,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1.3449552262644,1.3449552262644,0,0,1.58993985354238,1.58993985354238,5,5,5,5,5,5,5,5,4.78634838135425,4.99999999999994,4.99999999999994,3.24160854252813,3.24160854252813,2.99999999999992,2.99999999999992,2.99999999999992,4,4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,5.00000000000008,5.00000000000008,5.00000000000008,5.00000000000008,5.00000000000008,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000008,5.00000000000008,5.00000000000008,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.99999999999997,6.99999999999997,6.99999999999997,6,6,6,6.99999999999992,6.99999999999992,6.99999999999992,7.89883377299919,7.89883377299919,8.64412851889002,8.64412851889002,8.64412851889002,10,10,10,11,11,11,11.7947710342581,11.7947710342581,12,12,12,12,12,12,11,11,10.5614877738551,10.5614877738551,10.5614877738551,10,10,10,10,10,9.76776903368617,9.76776903368617,9.76776903368617,9,9,8.67008303309457,8.67008303309457,8.67008303309457,8,8,7.68934769942936,7.68934769942936,7.68934769942936,8,8,6.72686582868488,6.72686582868488,6.72686582868488,6.99999999999994,6.99999999999994,6,6,6.00000000000004,6.00000000000004,6.00000000000004,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-9.21929926040723e-14,-9.21929926040723e-14,-1.60582658281798e-13,0.672477613132173,0.672477613132173,-8.02913291408988e-14,-8.02913291408988e-14,2.58993985354238,2.58993985354238,5,5,5,5,5,5,5.00000000000007,5.00000000000007,4.78634838135431,4.24020701152493,4.24020701152493,3.24160854252821,3.24160854252821,2,2,2,4,4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.00000000000008,6.00000000000008,6,6,6.00000000000002,6.00000000000002,6.00000000000002,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.00000000000008,6.00000000000008,6.00000000000008,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.58780631426371,6.58780631426371,6.58780631426371,6,6,6,6,6,6,7.00000000000001,7.00000000000001,8.00000000000008,8.00000000000008,8.00000000000008,10,10,10,11,11,11,12.589542068516,12.589542068516,12,12,12,12.0000000000001,12.0000000000001,12.0000000000001,11,11,11,11,11,10,10,10,10,10,9.76776903368617,9.76776903368617,9.76776903368617,9,9,8.67008303309457,8.67008303309457,8.67008303309457,8,8,8,8,8,8,8,7,7,7,6.29594537227837,6.29594537227837,5.99999999999992,5.99999999999992,6.50241513425064,6.50241513425064,6.50241513425064,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,3.39334746333842e-14,3.39334746333842e-14,1.14823099319097,1.14823099319097,2.00000000000007,1.32752238686785,1.32752238686785,1.00000000000004,1.00000000000004,1.5899398535423,1.5899398535423,5,5,5,5,5,5,4.16197027328454,4.16197027328454,3.99999999999992,2.99999999999986,2.99999999999986,2.24160854252811,2.24160854252811,2.00000000000006,2.00000000000006,2.00000000000006,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.01235175458555,5.01235175458555,5.99999999999997,5.99999999999997,5.72449609558104,5.72449609558104,5.72449609558104,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,null,null,null,5,5,5,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6,6,6,null,null,null,6.89883377299928,6.89883377299928,7.00000000000005,7.00000000000005,7.00000000000005,9.99999999999995,9.99999999999995,9.99999999999995,11,11,11,12.5895420685159,12.5895420685159,12,12,12,11.1507268973025,11.1507268973025,11.1507268973025,11,11,10.5614877738551,10.5614877738551,10.5614877738551,10.0553638643605,10.0553638643605,10,10,10,9.76776903368617,9.76776903368617,9.76776903368617,9,9,8.67008303309457,8.67008303309457,8.67008303309457,8,8,8,8,8,8,8,6.99999999999998,6.99999999999998,6.99999999999998,6.00000000000006,6.00000000000006,7,7,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,0.422629379740855,0.422629379740855,2.00000000000001,2.00000000000001,2.89813521890071,2.32752238686783,2.32752238686783,1.52861600143876,1.52861600143876,1.58993985354244,1.58993985354244,5,5,5,5,4.99999999999992,4.99999999999992,3.99999999999985,3.99999999999985,2.99999999999982,1.24020701152477,1.24020701152477,2.00000000000004,2.00000000000004,2.78215686223853,2.78215686223853,2.78215686223853,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5.01235175458563,5.01235175458563,5.64331440437614,5.64331440437614,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,5,5.99999999999992,5.99999999999992,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6,6,6,null,null,null,7,7,7.6441285188901,7.6441285188901,7.6441285188901,9.37568129500639,9.37568129500639,9.37568129500639,11.0000000000001,11.0000000000001,11.0000000000001,11.7947710342579,11.7947710342579,12.4809636567065,12.4809636567065,12.4809636567065,11.8492731026975,11.8492731026975,11.8492731026975,11,11,11,11,11,11,11,10,10,10,9.76776903368617,9.76776903368617,9.76776903368617,9,9,8.67008303309449,8.67008303309449,8.67008303309449,7.99999999999999,7.99999999999999,8,8,8,8,8,6.72686582868486,6.72686582868486,6.72686582868486,6.70405462772167,6.70405462772167,7,7,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,0,0,2.14823099319089,2.14823099319089,2.99999999999999,3,3,1.5286160014388,1.5286160014388,3.29496992677121,3.29496992677121,5,5,4.98341202974844,4.98341202974844,3.99999999999992,3.99999999999992,2.16197027328448,2.16197027328448,0.78634838135425,0.48041402304967,0.48041402304967,2.51678291494361,2.51678291494361,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5.99999999999997,5.99999999999997,5.99999999999997,5.99999999999992,5.99999999999992,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,7.99999999999992,7.99999999999992,7.99999999999992,9.37568129500639,9.37568129500639,9.37568129500639,11.9072103690017,11.9072103690017,11.9072103690017,11.2052289657421,11.2052289657421,12,12,12,11.8492731026975,11.8492731026975,11.8492731026975,11.1965580601335,11.1965580601335,11,11,11,11,11,10,10,10,9.76776903368617,9.76776903368617,9.76776903368617,9,9,7.67008303309457,7.67008303309457,7.67008303309457,7.84788093525687,7.84788093525687,8,8,8,8,8,6.72686582868486,6.72686582868486,6.72686582868486,7,7,6.99999999999999,6.99999999999999,6,6,6,null,null,5.50000000000002,5.50000000000002,5.50000000000002,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,0,0,0,1.99999999999986,1.99999999999986,2.8981352189007,3,3,2.00000000000016,2.00000000000016,4,4,5,5,3.98341202974836,3.98341202974836,2.99999999999984,2.99999999999984,1.16197027328439,1.16197027328439,0.78634838135425,0.48041402304967,0.48041402304967,1,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5.69174700713515,5.69174700713515,5.69174700713515,5.02470350917126,5.02470350917126,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,7,9.37568129500639,9.37568129500639,9.37568129500639,11.9072103690017,11.9072103690017,11.9072103690017,12,12,11.4809636567065,11.4809636567065,11.4809636567065,11,11,11,11.9999999999998,11.9999999999998,11,11,11,11,11,10.0000000000001,10.0000000000001,10.0000000000001,9.76776903368605,9.76776903368605,9.76776903368605,8.99999999999987,8.99999999999987,7.67008303309457,7.67008303309457,7.67008303309457,7,7,7.99999999999989,7.99999999999989,7.99999999999989,8,8,6.72686582868491,6.72686582868491,6.72686582868491,7.00000000000005,7.00000000000005,6.88769015191347,6.88769015191347,6,6,6,null,null,5.80195091051989,5.80195091051989,5.80195091051989,5.99999999999984,5.99999999999984,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,null,null,0,0,0,1.14823099319099,1.14823099319099,2.89813521890078,3.00000000000005,3.00000000000005,3.00000000000004,3.00000000000004,4,4,5.00000000000009,5.00000000000009,2.98341202974868,2.98341202974868,2.00000000000016,2.00000000000016,0.161970273284569,0.161970273284569,0.786348381354313,0.480414023049587,0.480414023049587,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,6.00000000000022,6.00000000000022,6.00000000000022,6.01235175458555,6.01235175458555,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,4.99999999999993,4.99999999999993,4.99999999999993,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,7,9.37568129500642,9.37568129500642,9.37568129500642,12,12,12,12,12,11.4809636567065,11.4809636567065,11.4809636567065,11,11,11,11,11,11,11,11,11,11,10.346554026196,10.346554026196,10.346554026196,9,9,9,8.2087852342403,8.2087852342403,7.67008303309462,7.67008303309462,7.67008303309462,7.00000000000008,7.00000000000008,7.34467384971464,7.34467384971464,7.34467384971464,8.00000000000007,8.00000000000007,7.00000000000006,7.00000000000006,7.00000000000006,7.29594537227837,7.29594537227837,6.11230984808634,6.11230984808634,6.00000000000008,6.00000000000008,6.00000000000008,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,null,null,null,0,0,0.148230993190883,0.148230993190883,1.89813521890054,2.32752238686772,2.32752238686772,2.47138399856123,2.47138399856123,3.99999999999984,3.99999999999984,3.85665986896445,3.85665986896445,0.983412029748519,0.983412029748519,0,0,2.6009617046659e-14,2.6009617046659e-14,0,1.51958597695009,1.51958597695009,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4.99999999999984,4.99999999999984,3.30825299286469,3.30825299286469,3.30825299286469,5.99999999999984,5.99999999999984,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999984,5.99999999999984,5.99999999999984,5,5,5,5.83727668034755,5.83727668034755,5.83727668034755,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.99999999999984,6.99999999999984,6.99999999999984,9.00000000000006,9.00000000000006,9.00000000000006,12,12,12,12,12,11.0000000000001,11.0000000000001,11.0000000000001,11,11,11,11,11,11,11,11,11,11,10.3465540261961,10.3465540261961,10.3465540261961,9,9,9,8.2087852342403,8.2087852342403,7.00000000000027,7.00000000000027,7.00000000000027,6.00000000000016,6.00000000000016,7.68934769942938,7.68934769942938,7.68934769942938,7.18011330996014,7.18011330996014,6.27313417131525,6.27313417131525,6.27313417131525,7,7,6.99999999999998,6.99999999999998,5.00000000000016,5.00000000000016,5.00000000000016,5.99999999999998,5.99999999999998,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,0,0,0,0,0.898135218900704,2,2,2.47138399856123,2.47138399856123,3,3,2,2,0.983412029748519,0.983412029748519,0,0,0.161970273284556,0.161970273284556,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,4,2,2,2,5.0247035091711,5.0247035091711,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,5,5,5,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,9.37568129500639,9.37568129500639,9.37568129500639,12,12,12,12,12,11.4809636567065,11.4809636567065,11.4809636567065,11,11,11,11,11,11,11,11,11,11,11,11,11,9,9,9,8.2087852342403,8.2087852342403,8.67008303309457,8.67008303309457,8.67008303309457,7,7,8,8,8,8,8,7,7,7,7,7,6.88769015191359,6.88769015191359,6,6,6,5.85958770538594,5.85958770538594,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,0,0,0.999999999999839,0.999999999999839,0.10186478109928,1.3449552262645,1.3449552262645,1.5286160014386,1.5286160014386,1.99999999999984,1.99999999999984,0,0,0,0,0,0,2,2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5.00000000000005,5.00000000000005,5.00000000000005,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.68978851359742,5.68978851359742,5.68978851359742,5,5,5,6,6,5.00000000000014,5.00000000000014,5.00000000000014,6,6,6,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,9.37568129500639,9.37568129500639,9.37568129500639,11.0927896309983,11.0927896309983,11.0927896309983,12.205228965742,12.205228965742,12,12,12,12,12,12,11,11,10.9999999999998,10.9999999999998,10.9999999999998,11,11,11,11,11,9.76776903368617,9.76776903368617,9.76776903368617,8.20878523424043,8.20878523424043,8.00000000000016,8.00000000000016,8.00000000000016,8,8,8,8,8,8.00000000000013,8.00000000000013,7.72686582868479,7.72686582868479,7.72686582868479,7,7,6.88769015191345,6.88769015191345,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,1.67247761313223,1.67247761313223,0.528616001438765,0.528616001438765,1,1,0,0,0,0,0,0,2,2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5.3082529928649,5.3082529928649,5.3082529928649,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.31021148640252,5.31021148640252,5.31021148640252,5,5,5,5.98796810409351,5.98796810409351,5.85726206063035,5.85726206063035,5.85726206063035,6,6,6,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,9.37568129500639,9.37568129500639,9.37568129500639,11.0927896309983,11.0927896309983,11.0927896309983,12,12,12,12,12,12,12,12,11,11,10,10,10,11,11,11,11,11,9.76776903368617,9.76776903368617,9.76776903368617,9,9,9,9,9,8,8,8,8,8,8.81988669004,8.81988669004,7.27313417131514,7.27313417131514,7.27313417131514,7,7,6,6,6,6,6,6,6,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,0,0,0,3.39334746333842e-14,3.39334746333842e-14,8.02913291408859e-14,8.02913291408859e-14,1.52403799614664e-13,2.00000000000003,2.00000000000003,0,0,0,0,0,0,1.33187017924085e-15,1.33187017924085e-15,1.53741424742177e-13,1.53741424742177e-13,1.83802972671542,1.83802972671542,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000007,5.00000000000007,5,5,5.6917470071351,5.6917470071351,5.6917470071351,5.01235175458563,5.01235175458563,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000006,5.00000000000006,5.00000000000006,5.00000000000001,5.00000000000001,5.00000000000001,5,5,5.85726206063028,5.85726206063028,5.85726206063028,5.69754493705107,5.69754493705107,5.69754493705107,5.46798076537576,5.46798076537576,5.46798076537576,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8.37568129500636,8.37568129500636,8.37568129500636,11.0927896309982,11.0927896309982,11.0927896309982,11.9999999999999,11.9999999999999,12.4809636567065,12.4809636567065,12.4809636567065,12,12,12,11,11,10,10,10,11,11,10.9999999999999,10.9999999999999,10.9999999999999,9.76776903368611,9.76776903368611,9.76776903368611,9.00000000000002,9.00000000000002,8.32991696690548,8.32991696690548,8.32991696690548,8,8,8.65532615028528,8.65532615028528,8.65532615028528,8.00000000000001,8.00000000000001,8,8,8,7.00000000000002,7.00000000000002,6.00000000000008,6.00000000000008,6.00000000000004,6.00000000000004,6.00000000000004,6,6,5.00000000000008,5.00000000000008,5.00000000000008,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,0,0,0,0.422629379740889,0.422629379740889,0.99999999999992,0.99999999999992,1.89813521890062,2.32752238686783,2.32752238686783,0,0,0,0,-1.15089696400491e-14,-1.15089696400491e-14,0.0165879702514806,0.0165879702514806,1.91479486498983,1.91479486498983,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.8773755514953,5.8773755514953,5,5,5.6917470071351,5.6917470071351,5.6917470071351,6,6,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.68978851359754,5.68978851359754,5.68978851359754,5.16272331965233,5.16272331965233,5.16272331965233,4.99999999999992,4.99999999999992,4.99999999999993,4.99999999999993,4.99999999999993,5,5,5,5.46798076537576,5.46798076537576,5.46798076537576,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,7,8,8,8,10.1855792619965,10.1855792619965,10.1855792619965,10.9999999999999,10.9999999999999,12,12,12,11.8492731026975,11.8492731026975,11.8492731026975,11,11,10.561487773855,10.561487773855,10.561487773855,11.0000000000001,11.0000000000001,10.3465540261961,10.3465540261961,10.3465540261961,9,9,9,9.20878523424031,9.20878523424031,9.00000000000008,9.00000000000008,9.00000000000008,8,8,8,8,8,8.18011330996002,8.18011330996002,8,8,8,7.29594537227835,7.29594537227835,7.00000000000007,7.00000000000007,6.4975848657494,6.4975848657494,6.4975848657494,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,0,0.422629379740889,0.422629379740889,2,2,2.8981352189007,1.65504477373555,1.65504477373555,0,0,0,0,0.143340131035251,0.143340131035251,0.0165879702514806,0.0165879702514806,1.91479486498983,1.91479486498983,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,null,null,5,5,5.5,5.5,5.5,5.5,5.5,5.8773755514953,5.8773755514953,5,5,5.69174700713511,5.69174700713511,5.69174700713511,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,6,6,5.85726206063035,5.85726206063035,5.85726206063035,5,5,5,5.46798076537576,5.46798076537576,5.46798076537576,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,7,8,8,8,11.0927896309983,11.0927896309983,11.0927896309983,11.794771034258,11.794771034258,12,12,12,11.8492731026975,11.8492731026975,11.8492731026975,11.1965580601335,11.1965580601335,11,11,11,10,10,10,10,10,9,9,9,9,9,8,8,8,8,8,8,8,8,8,8,8,8,8,7.29594537227835,7.29594537227835,6.11230984808641,6.11230984808641,6.5024151342506,6.5024151342506,6.5024151342506,6,6,6,6,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,0,0,0,1.14823099319075,1.14823099319075,2.89813521890069,1.6550447737355,1.6550447737355,7.56960955604541e-14,7.56960955604541e-14,1.29496992677122,1.29496992677122,1.99999999999984,1.99999999999984,2,2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5.00000000000016,5.00000000000016,5,5,5,5,5.6509027368686,5.6509027368686,5.6509027368686,5.12549737540006,5.12549737540006,5.12262444850468,5.12262444850468,5.99999999999984,5.99999999999984,5.99999999999995,5.99999999999995,5.99999999999995,5.99999999999984,5.99999999999984,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.68978851359737,5.68978851359737,5.68978851359737,5,5,5,5,5,5,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,7,10.0927896309983,10.0927896309983,10.0927896309983,11.2052289657421,11.2052289657421,12,12,12,11,11,11,11.1965580601335,11.1965580601335,10,10,10,10,10,10,10,10,9.76776903368617,9.76776903368617,9.76776903368617,9,9,8.00000000000011,8.00000000000011,8.00000000000011,8,8,7.65532615028555,7.65532615028555,7.65532615028555,8,8,7.00000000000016,7.00000000000016,7.00000000000016,7.29594537227835,7.29594537227835,7,7,7,7,7,6,6,6,6,6,6,6,5.99999999999987,5.99999999999987,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,0,0,0,0.148230993190906,0.148230993190906,2.79627043780141,1.32752238686777,1.32752238686777,0.471383998561235,0.471383998561235,1.70503007322885,1.70503007322885,1,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,null,null,6,6,5,5,5,5,5,5,5,5.12549737540006,5.12549737540006,5,5,5,5,5.69174700713511,5.69174700713511,5.69174700713511,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,7,10.1855792619966,10.1855792619966,10.1855792619966,12,12,12,12,12,11,11,11,11.1965580601335,11.1965580601335,10,10,10,10,10,10,10,10,9.76776903368617,9.76776903368617,9.76776903368617,9,9,8.67008303309457,8.67008303309457,8.67008303309457,8,8,9,9,9,8,8,8,8,8,7.29594537227835,7.29594537227835,7,7,7,7,7,6,6,6,6,6,6,6,5.19661815166547,5.19661815166547,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0.89813521890056,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,null,null,5,5,5,5,5,5,5,5,5,5.99999999999984,5.99999999999984,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000016,5.00000000000016,5.00000000000016,5.00000000000003,5.00000000000003,5.00000000000003,5,5,5.85726206063022,5.85726206063022,5.85726206063022,5,5,5,5,5,5,5.99999999999994,5.99999999999994,5.99999999999994,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8,8,8,10.0927896309983,10.0927896309983,10.0927896309983,11.9999999999998,11.9999999999998,12,12,12,11.0000000000001,11.0000000000001,11.0000000000001,11,11,10.0000000000001,10.0000000000001,10.0000000000001,9.00000000000016,9.00000000000016,9.65344597380396,9.65344597380396,9.65344597380396,9.76776903368617,9.76776903368617,9.76776903368617,9,9,8.67008303309457,8.67008303309457,8.67008303309457,8,8,8.34467384971467,8.34467384971467,8.34467384971467,8.00000000000003,8.00000000000003,8,8,8,7.29594537227846,7.29594537227846,7,7,7,7,7,6.00000000000002,6.00000000000002,6,6,6,5.99999999999992,5.99999999999992,5.00000000000016,5.00000000000016,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,null,null,5,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5.16272331965232,5.16272331965232,5.16272331965232,5,5,5,5,5,5,5,5,5,5,5,5.64016747071252,5.64016747071252,5.64016747071252,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.5,7.5,7.5,8,8,8,10.0927896309983,10.0927896309983,10.0927896309983,11,11,12,12,12,11.8492731026975,11.8492731026975,11.8492731026975,11,11,10.561487773855,10.561487773855,10.561487773855,10,10,9.65344597380396,9.65344597380396,9.65344597380396,9.76776903368617,9.76776903368617,9.76776903368617,9,9,8.67008303309457,8.67008303309457,8.67008303309457,8,8,8.34467384971467,8.34467384971467,8.34467384971467,8.18011330996001,8.18011330996001,8,8,8,8,8,7,7,7,7,7,6.14041229461406,6.14041229461406,6,6,6,5.48727789281437,5.48727789281437,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,null,null,null,null,5,5,5,5,5,5,5,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5.64016747071247,5.64016747071247,5.64016747071247,null,null,null,null,null,null,null,null,6,6,6,6.49999999999999,6.49999999999999,6.49999999999999,7.49999999999997,7.49999999999997,7.49999999999997,8,8,7.64412851889012,7.64412851889012,7.64412851889012,9.37568129500642,9.37568129500642,9.37568129500642,10.0927896309984,10.0927896309984,10.0927896309984,11.0000000000001,11.0000000000001,11.5190363432935,11.5190363432935,11.5190363432935,12,12,12,11.0000000000001,11.0000000000001,11,11,11,10,10,10.3465540261961,10.3465540261961,10.3465540261961,10,10,10,9.2087852342403,9.2087852342403,8.32991696690548,8.32991696690548,8.32991696690548,8,8,8.99999999999992,8.99999999999992,8.99999999999992,8,8,7.99999999999998,7.99999999999998,7.99999999999998,7,7,6.99999999999999,6.99999999999999,6.49758486574945,6.49758486574945,6.49758486574945,6,6,6,6,6,5.51272210718567,5.51272210718567,6,6,5.93017499464007,5.93017499464007,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,null,1,1,1,1,null,null,2,2,3,3,3,5,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,6,6,6,6.36992369771193,6.36992369771193,6.36992369771193,7.14051877511438,7.14051877511438,7.14051877511438,8,8,8.28825703778014,8.28825703778014,8.28825703778014,9.75136259001278,9.75136259001278,9.75136259001278,11,11,11,11.794771034258,11.794771034258,11.5190363432935,11.5190363432935,11.5190363432935,11.8492731026975,11.8492731026975,11.8492731026975,12,12,11,11,11,10,10,11,11,11,10,10,10,9.2087852342403,9.2087852342403,9,9,9,8,8,8,8,8,8,8,7.72686582868486,7.72686582868486,7.72686582868486,7,7,6.88769015191359,6.88769015191359,7,7,7,6,6,6,6,6,6,6,6,6,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,8.02913291408988e-14,8.02913291408988e-14,4.24432813606657e-14,4.24432813606657e-14,0,0,0.99999999999992,0.99999999999992,0.99999999999992,0.99999999999992,0.99999999999992,0.99999999999992,1.99999999999992,1.99999999999992,1.99999999999992,null,null,4,4,4.21784313776135,4.21784313776135,4.21784313776135,4.83108685594483,4.83108685594483,4.09483691237116,4.09483691237116,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000008,5.00000000000008,5.00000000000008,4.98796810409352,4.98796810409352,5,5,5,5,5,5,5,5,5,5,5,5,null,null,null,null,null,6,6,6,6.99999999999992,6.99999999999992,6.99999999999992,6.99999999999992,6.99999999999992,6.99999999999992,7,7,7,8,8,8.00000000000008,8.00000000000008,8.00000000000008,9.75136259001283,9.75136259001283,9.75136259001283,10.9999999999999,10.9999999999999,10.9999999999999,11.7947710342579,11.7947710342579,11,11,11,11.8492731026975,11.8492731026975,11.8492731026975,12,12,11,11,11,10,10,10.9999999999999,10.9999999999999,10.9999999999999,10,10,10,9.20878523424028,9.20878523424028,9,9,9,8,8,8,8,8,8,8,7.72686582868486,7.72686582868486,7.72686582868486,7,7,6.88769015191359,6.88769015191359,6.5024151342506,6.5024151342506,6.5024151342506,6,6,6,6,6,5.99999999999996,5.99999999999996,5.19661815166554,5.19661815166554,5.00000000000008,5.00000000000008,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0.999999999999946,0.999999999999946,0.528616001438722,0.528616001438722,0,0,0,0,0,0,null,null,1,1,1.00000000000006,null,null,null,null,3,3,3,3.83108685594478,3.83108685594478,3.09483691237121,3.09483691237121,2.99999999999992,2.99999999999992,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999999,5.99999999999999,5.99999999999999,5.00000000000008,5.00000000000008,5,5,5,5,5,5,5,5,5,5,5,5,null,null,null,null,null,6,6,6,6,6,6,6,6,6,6.99999999999993,6.99999999999993,6.99999999999993,7.99999999999999,7.99999999999999,8.99999999999992,8.99999999999992,8.99999999999992,10.3756812950063,10.3756812950063,10.3756812950063,10.0927896309983,10.0927896309983,10.0927896309983,11,11,11,11,11,11,11,11,11.8034419398665,11.8034419398665,11,11,11,10,10,10,10,10,9.99999999999994,9.99999999999994,9.99999999999994,9,9,9,9,9,8,8,8,8,8,8,8,7.72686582868488,7.72686582868488,7.72686582868488,7,7,6.88769015191352,6.88769015191352,6.5024151342506,6.5024151342506,6.5024151342506,6,6,6,6,6,5.51272210718563,5.51272210718563,5.99999999999994,5.99999999999994,5.99999999999992,5.99999999999992,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0.327522386867748,0.327522386867748,0,0,0,0,8.02913291408988e-14,8.02913291408988e-14,0,0,null,null,null,null,1.78634838135419,null,null,null,null,null,null,null,2.16891314405502,2.16891314405502,2.81032617525752,2.81032617525752,2.00870124487081,2.00870124487081,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.83727668034768,5.83727668034768,5.83727668034768,5.98796810409344,5.98796810409344,5,5,5,5,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,6,6,6,6.00000000000003,6.00000000000003,6.00000000000003,6.14051877511445,6.14051877511445,6.14051877511445,7.89883377299919,7.89883377299919,8,8,8,9,9,9,9.99999999999993,9.99999999999993,9.99999999999993,10.794771034258,10.794771034258,10.4809636567065,10.4809636567065,10.4809636567065,11,11,11,11.8034419398664,11.8034419398664,11.561487773855,11.561487773855,11.561487773855,10,10,10,10,10,9.23223096631383,9.23223096631383,9.23223096631383,9,9,9,9,9,8,8,8,8,8,8,8,7.99999999999992,7.99999999999992,7.99999999999992,7.00000000000002,7.00000000000002,6.00000000000001,6.00000000000001,6.5024151342506,6.5024151342506,6.5024151342506,5.99999999999993,5.99999999999993,6,6,6,5.51272210718563,5.51272210718563,5.19661815166552,5.19661815166552,5,5,5.00000000000008,5.00000000000008,5.00000000000008,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,1,1,null,null,null,null,null,null,1,null,null,null,null,null,null,null,1.33782628811031,1.33782628811031,2.71548926288631,2.71548926288631,2.00870124487089,2.00870124487089,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.83727668034761,5.83727668034761,5.83727668034761,5,5,5,5,5,5,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,6,6,6,6.36992369771194,6.36992369771194,6.36992369771194,7,7,7,7,7,8.00000000000008,8.00000000000008,8.00000000000008,8.99999999999995,8.99999999999995,8.99999999999995,9.09278963099821,9.09278963099821,9.09278963099821,10.7947710342578,10.7947710342578,10.4809636567065,10.4809636567065,10.4809636567065,11,11,11,10.8034419398665,10.8034419398665,11.561487773855,11.561487773855,11.561487773855,10.0553638643605,10.0553638643605,10,10,10,9.23223096631389,9.23223096631389,9.23223096631389,9,9,8.99999999999997,8.99999999999997,8.99999999999997,8,8,8,8,8,8,8,7,7,7,7.29594537227833,7.29594537227833,6.1123098480864,6.1123098480864,6.50241513425056,6.50241513425056,6.50241513425056,5.14041229461406,5.14041229461406,6,6,6,5.51272210718567,5.51272210718567,5.80338184833447,5.80338184833447,5,5,5.99999999999992,5.99999999999992,5.99999999999992,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,1,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,3,2.90516308762876,2.90516308762876,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,7,7,7,9,9,9,8.37568129500639,8.37568129500639,8.37568129500639,8.09278963099829,8.09278963099829,8.09278963099829,9,9,10,10,10,11,11,11,10,10,11,11,11,11,11,10,10,10,10,10,10,9,9,8.67008303309457,8.67008303309457,8.67008303309457,8,8,8,8,8,8,8,7,7,7,7,7,6,6,6,6,6,5.14041229461406,5.14041229461406,6,6,6,6,6,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3.99999999999992,3.99999999999992,3.90516308762876,3.90516308762876,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,4.85726206063035,4.85726206063035,4.85726206063035,5,5,5,5.00000000000008,5.00000000000008,5.00000000000008,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.99999999999993,6.99999999999993,6.99999999999993,6.8988337729992,6.8988337729992,7.99999999999992,7.99999999999992,7.99999999999992,7.99999999999997,7.99999999999997,7.99999999999997,7.99999999999992,7.99999999999992,7.99999999999992,8.79477103425786,8.79477103425786,9.48096365670641,9.48096365670641,9.48096365670641,10.8492731026975,10.8492731026975,10.8492731026975,10,10,10.9999999999999,10.9999999999999,10.9999999999999,11,11,10.346554026196,10.346554026196,10.346554026196,10,10,10,9,9,8.32991696690548,8.32991696690548,8.32991696690548,8,8,7.99999999999992,7.99999999999992,7.99999999999992,8,8,6.99999999999998,6.99999999999998,6.99999999999998,6.70405462772162,6.70405462772162,6,6,6,6,6,5.14041229461406,5.14041229461406,6,6,6,6,6,5.80338184833447,5.80338184833447,5.00000000000008,5.00000000000008,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,3,3.90516308762876,3.90516308762876,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,4.85726206063035,4.85726206063035,4.85726206063035,5,5,5,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.14051877511438,6.14051877511438,6.14051877511438,6.10116622700073,6.10116622700073,7,7,7,7.62431870499361,7.62431870499361,7.62431870499361,7,7,7,7.20522896574201,7.20522896574201,8.48096365670649,8.48096365670649,8.48096365670649,11,11,11,10,10,10,10,10,11,11,9.34655402619604,9.34655402619604,9.34655402619604,10,10,10,9,9,9,9,9,8,8,7,7,7,8,8,6.72686582868486,6.72686582868486,6.72686582868486,6.29594537227835,6.29594537227835,6,6,6,6,6,5.14041229461406,5.14041229461406,6,6,6,6,6,5,5,5.93017499464015,5.93017499464015,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3.90516308762877,3.90516308762877,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.8988337729992,6.8988337729992,6.64412851889002,6.64412851889002,6.64412851889002,6.99999999999992,6.99999999999992,6.99999999999992,7,7,7,7,7,7.96192731341291,7.96192731341291,7.96192731341291,9.99999999999992,9.99999999999992,9.99999999999992,10,10,10,10,10,11,11,9.99999999999995,9.99999999999995,9.99999999999995,9.76776903368611,9.76776903368611,9.76776903368611,8.99999999999992,8.99999999999992,8.3299169669054,8.3299169669054,8.3299169669054,7.99999999999993,7.99999999999993,7,7,7,7.99999999999993,7.99999999999993,7,7,7,6.29594537227833,6.29594537227833,5.99999999999993,5.99999999999993,6,6,6,5.14041229461413,5.14041229461413,5.99999999999994,5.99999999999994,5.99999999999994,5.99999999999996,5.99999999999996,5.00000000000002,5.00000000000002,5.06982500535985,5.06982500535985,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,2,4,4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000008,5.00000000000008,5,5,5,5,5,5,5.00000000000004,5.00000000000004,5.00000000000004,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6,6,6,6,6,6.99999999999993,6.99999999999993,6.99999999999993,7,7,7,7,7,9,9,9,10,10,10,10,10,10.9999999999999,10.9999999999999,9.34655402619604,9.34655402619604,9.34655402619604,8.99999999999992,8.99999999999992,8.99999999999992,8,8,7.99999999999997,7.99999999999997,7.99999999999997,7.15211906474305,7.15211906474305,7,7,7,7.18011330996001,7.18011330996001,6.99999999999992,6.99999999999992,6.99999999999992,6,6,5.11230984808648,5.11230984808648,6,6,6,6,6,5.19804908948014,5.19804908948014,5.19804908948014,5.48727789281437,5.48727789281437,5.19661815166553,5.19661815166553,5,5,null,null,null,null,null,null,null,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.98796810409344,5.98796810409344,5,5,5,5,5,5,5.46798076537572,5.46798076537572,5.46798076537572,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6,6,6,6.09278963099821,6.09278963099821,6.09278963099821,7,7,7.00000000000004,7.00000000000004,7.00000000000004,9,9,9,9.99999999999992,9.99999999999992,10,10,10,10.0553638643603,10.0553638643603,9.34655402619604,9.34655402619604,9.34655402619604,8,8,8,8,8,7.67008303309457,7.67008303309457,7.67008303309457,7.00000000000008,7.00000000000008,7,7,7,7.18011330996001,7.18011330996001,6.00000000000006,6.00000000000006,6.00000000000006,6,6,6,6,6,6,6,6,6,5.19804908948014,5.19804908948014,5.19804908948014,5.48727789281437,5.48727789281437,5.99999999999992,5.99999999999992,5.06982500535985,5.06982500535985,null,null,null,null,null,null,null,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5.0927896309983,5.0927896309983,5.0927896309983,7.0000000000001,7.0000000000001,7.48096365670649,7.48096365670649,7.48096365670649,9.00000000000001,9.00000000000001,9.00000000000001,9,9,10.0000000000001,10.0000000000001,10.0000000000001,9.05536386436049,9.05536386436049,9.3465540261961,9.3465540261961,9.3465540261961,8,8,8,8,8,7.6700830330946,7.6700830330946,7.6700830330946,8,8,7,7,7,7.18011330996002,7.18011330996002,6.72686582868492,6.72686582868492,6.72686582868492,6,6,6,6,6,6,6,6,6,5.19804908948008,5.19804908948008,5.19804908948008,5.48727789281432,5.48727789281432,5,5,5,5,6.00000000000003,6.00000000000003,6.00000000000003,null,null,null,null,5,5,5,5,5,5,4.99999999999998,4.99999999999998,4.99999999999998,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.79477103425801,5.79477103425801,7.48096365670645,7.48096365670645,7.48096365670645,8.84927310269753,8.84927310269753,8.84927310269753,9,9,9,9,9,8.05536386436049,8.05536386436049,8.65344597380399,8.65344597380399,8.65344597380399,8,8,8,8,8,7.32991696690543,7.32991696690543,7.32991696690543,7.99999999999993,7.99999999999993,7,7,7,7,7,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,5.99999999999996,5.99999999999996,5,5,5,5,5.68813055411417,5.68813055411417,5.68813055411417,null,null,null,null,null,null,4.96686754617886,4.96686754617886,5,5,5.24411258335222,5.24411258335222,5.24411258335222,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6.99999999999996,6.99999999999996,6.99999999999996,9,9,9,9,9,9,9,9,9,9,9.00000000000008,9.00000000000008,9.00000000000008,7.99999999999994,7.99999999999994,7.99999999999994,8,8,7.32991696690546,7.32991696690546,7.32991696690546,7.15211906474307,7.15211906474307,7.00000000000008,7.00000000000008,7.00000000000008,7,7,6,6,6,6,6,6,6,6,6,6,6,6,6.00000000000006,6.00000000000006,6.00000000000006,5.4872778928144,5.4872778928144,5,5,4.99999999999999,4.99999999999999,5,5,5,null,null,null,null,null,null,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4.99999999999984,4.99999999999984,4.99999999999984,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,7.48096365670641,7.48096365670641,7.48096365670641,9,9,9,9.00000000000003,9.00000000000003,9.00000000000007,9.00000000000007,9.00000000000007,8.94463613563959,8.94463613563959,8,8,8,8.76776903368605,8.76776903368605,8.76776903368605,7.99999999999984,7.99999999999984,7,7,7,7.00000000000002,7.00000000000002,6,6,6,6.99999999999997,6.99999999999997,6,6,6,6,6,6,6,5.99999999999992,5.99999999999992,5.99999999999992,5.99999999999984,5.99999999999984,5.19804908948024,5.19804908948024,5.19804908948024,5,5,5,5,5.06982500535984,5.06982500535984,5,5,5,null,null,null,null,null,null,4.99999999999999,4.99999999999999,5.00000000000016,5.00000000000016,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4.00000000000008,4.00000000000008,4.00000000000008,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,7.00000000000004,7.00000000000004,7.00000000000004,9,9,9,9.19655806013346,9.19655806013346,9.43851222614492,9.43851222614492,9.43851222614492,8.94463613563959,8.94463613563959,8,8,8,8.00000000000006,8.00000000000006,8.00000000000006,7.00000000000008,7.00000000000008,7,7,7,7.15211906474305,7.15211906474305,6,6,6,6.81988669004001,6.81988669004001,6,6,6,6,6,6,6,5.50241513425063,5.50241513425063,5.50241513425063,5.00000000000008,5.00000000000008,5.80195091051981,5.80195091051981,5.80195091051981,5,5,5,5,5.00000000000001,5.00000000000001,null,null,null,null,null,null,null,null,null,4.96686754617886,4.96686754617886,5.99999999999992,5.99999999999992,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.6975449370511,5.6975449370511,5.6975449370511,5,5,5,5,5,5,5.99999999999997,5.99999999999997,5.99999999999997,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6.48096365670649,6.48096365670649,6.48096365670649,8.99999999999986,8.99999999999986,8.99999999999986,9.19655806013344,9.19655806013344,9,9,9,8.00000000000015,8.00000000000015,8,8,8,7.99999999999988,7.99999999999988,7.99999999999988,7.00000000000003,7.00000000000003,7.00000000000005,7.00000000000005,7.00000000000005,7.15211906474303,7.15211906474303,6.65532615028539,6.65532615028539,6.65532615028539,6.81988669003999,6.81988669003999,6,6,6,5.29594537227835,5.29594537227835,6,6,5.50241513425059,5.50241513425059,5.50241513425059,5.99999999999998,5.99999999999998,5.80195091051985,5.80195091051985,5.80195091051985,5,5,5,5,5.99999999999984,5.99999999999984,null,null,null,null,null,null,null,null,null,5.96686754617871,5.96686754617871,5.15115941099792,5.15115941099792,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000003,5.00000000000003,5.00000000000003,5.81985748903799,5.81985748903799,5.81985748903799,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.48096365670649,6.48096365670649,6.48096365670649,8.15072689730246,8.15072689730246,8.15072689730246,8.99999999999992,8.99999999999992,8.99999999999996,8.99999999999996,8.99999999999996,8.94463613563959,8.94463613563959,7.99999999999992,7.99999999999992,7.99999999999992,7.23223096631387,7.23223096631387,7.23223096631387,7.20878523424028,7.20878523424028,7.32991696690543,7.32991696690543,7.32991696690543,7,7,6.99999999999995,6.99999999999995,6.99999999999995,6.81988669004001,6.81988669004001,6,6,6,5.29594537227835,5.29594537227835,6,6,5.50241513425064,5.50241513425064,5.50241513425064,5.85958770538588,5.85958770538588,5.80195091051979,5.80195091051979,5.80195091051979,5.00000000000004,5.00000000000004,5,5,5.00000000000008,5.00000000000008,null,null,null,null,null,5,5,5.99999999999992,5.99999999999992,5,5,5.15115941099795,5.15115941099795,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.35983252928745,5.35983252928745,5.35983252928745,5.00000000000007,5.00000000000007,5.00000000000007,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.48096365670649,6.48096365670649,6.48096365670649,8.00000000000001,8.00000000000001,8.00000000000001,8.00000000000008,8.00000000000008,8.438512226145,8.438512226145,8.438512226145,8.94463613563959,8.94463613563959,7.00000000000008,7.00000000000008,7.00000000000008,7.76776903368613,7.76776903368613,7.76776903368613,7.00000000000002,7.00000000000002,7.32991696690543,7.32991696690543,7.32991696690543,7,7,6.34467384971472,6.34467384971472,6.34467384971472,6.99999999999999,6.99999999999999,6,6,6,5.29594537227835,5.29594537227835,6,6,5.99999999999996,5.99999999999996,5.99999999999996,5.14041229461412,5.14041229461412,5.00000000000006,5.00000000000006,5.00000000000006,5.48727789281433,5.48727789281433,5,5,5.99999999999992,5.99999999999992,null,null,null,null,null,5,5,5.00000000000008,5.00000000000008,5,5,5.49999999999997,5.49999999999997,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6.15072689730245,6.15072689730245,6.15072689730245,7,7,8.00000000000016,8.00000000000016,8.00000000000016,8.05536386436041,8.05536386436041,7.34655402619609,7.34655402619609,7.34655402619609,7,7,7,7.00000000000013,7.00000000000013,7.00000000000016,7.00000000000016,7.00000000000016,8,8,6.65532615028523,6.65532615028523,6.65532615028523,6.18011330996,6.18011330996,6.00000000000012,6.00000000000012,6.00000000000012,5.99999999999995,5.99999999999995,5.11230984808641,5.11230984808641,5,5,5,5.85958770538594,5.85958770538594,5,5,5,5.51272210718563,5.51272210718563,5.00000000000016,5.00000000000016,5.99999999999984,5.99999999999984,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,7.00000000000008,7.00000000000008,9.00000000000008,9.00000000000008,9.00000000000008,8.05536386436042,8.05536386436042,7.65344597380393,7.65344597380393,7.65344597380393,6.99999999999998,6.99999999999998,6.99999999999998,7.79121476575968,7.79121476575968,8.00000000000008,8.00000000000008,8.00000000000008,8.00000000000008,8.00000000000008,5.99999999999995,5.99999999999995,5.99999999999995,6.18011330996002,6.18011330996002,6.72686582868492,6.72686582868492,6.72686582868492,5.70405462772163,5.70405462772163,5.11230984808642,5.11230984808642,5,5,5,5.85958770538594,5.85958770538594,5,5,5,5.48727789281432,5.48727789281432,6.00000000000008,6.00000000000008,4.99999999999992,4.99999999999992,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000016,5.00000000000016,5.00000000000016,5.00000000000016,5.00000000000016,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,7.99999999999991,7.99999999999991,7.99999999999991,8,8,8,8,8,7.23223096631395,7.23223096631395,7.23223096631395,8,8,7.00000000000005,7.00000000000005,7.00000000000005,7,7,6.65532615028533,6.65532615028533,6.65532615028533,6,6,6,6,6,6,6,5.00000000000016,5.00000000000016,5,5,5,5.8595877053858,5.8595877053858,5.00000000000013,5.00000000000013,5.00000000000013,6,6,5,5,5.99999999999984,5.99999999999984,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.43851222614495,7.43851222614495,7.43851222614495,8,8,8,8,8,8,8,8,8,8,7.32991696690543,7.32991696690543,7.32991696690543,7,7,6.65532615028533,6.65532615028533,6.65532615028533,6,6,6,6,6,6,6,6,6,5,5,5,5,5,5.80195091051985,5.80195091051985,5.80195091051985,6,6,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,7,7,8.05536386436041,8.05536386436041,8,8,8,7.76776903368617,7.76776903368617,7.76776903368617,8,8,7.32991696690543,7.32991696690543,7.32991696690543,7.15211906474306,7.15211906474306,6,6,6,6,6,6,6,6,6,6,5.11230984808641,5.11230984808641,5,5,5,5.85958770538594,5.85958770538594,5.19804908948015,5.19804908948015,5.19804908948015,5.51272210718563,5.51272210718563,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99211819398118,5.99211819398118,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.43851222614495,6.43851222614495,6.43851222614495,7.05536386436041,7.05536386436041,8,8,8,7.76776903368617,7.76776903368617,7.76776903368617,8,8,7.67008303309457,7.67008303309457,7.67008303309457,7.15211906474306,7.15211906474306,6,6,6,5,5,6,6,6,5.70405462772165,5.70405462772165,5,5,5.4975848657494,5.4975848657494,5.4975848657494,5,5,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,7,7,7.34655402619604,7.34655402619604,7.34655402619604,7.76776903368617,7.76776903368617,7.76776903368617,8,8,7,7,7,7,7,6,6,6,5.18011330996001,5.18011330996001,5.72686582868486,5.72686582868486,5.72686582868486,6,6,6,6,6,6,6,5.85958770538594,5.85958770538594,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.00000000000023,6.00000000000023,6.65344597380396,6.65344597380396,6.65344597380396,7,7,7,7,7,7,7,7,7,7,6,6,6,5.81988669003999,5.81988669003999,5.27313417131531,5.27313417131531,5.27313417131531,6.40810925544313,6.40810925544313,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,4.99999999999999,4.99999999999999,4.99999999999999,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.94463613563951,6.94463613563951,6.65344597380391,6.65344597380391,6.65344597380391,7,7,7,6.99999999999994,6.99999999999994,7,7,7,6.99999999999993,6.99999999999993,6,6,6,5.81988669003993,5.81988669003993,5.99999999999992,5.99999999999992,5.99999999999992,5.70405462772165,5.70405462772165,6,6,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.98796810409335,5.98796810409335,4.85726206063029,4.85726206063029,4.85726206063029,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.0000000000001,6.0000000000001,6.0000000000001,6.99999999999988,6.99999999999988,6.99999999999988,6.2087852342403,6.2087852342403,6.99999999999989,6.99999999999989,6.99999999999989,6.15211906474306,6.15211906474306,5.99999999999994,5.99999999999994,5.99999999999994,5.00000000000003,5.00000000000003,5.00000000000004,5.00000000000004,5.00000000000004,5.7040546277217,5.7040546277217,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.6534459738039,6.6534459738039,6.6534459738039,6.23223096631387,6.23223096631387,6.23223096631387,6.2087852342403,6.2087852342403,6.32991696690546,6.32991696690546,6.32991696690546,6.15211906474306,6.15211906474306,5.65532615028533,5.65532615028533,5.65532615028533,5.18011330996007,5.18011330996007,5.27313417131512,5.27313417131512,5.27313417131512,5.99999999999998,5.99999999999998,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,6.76776903368617,6.76776903368617,6.76776903368617,6.2087852342403,6.2087852342403,6.67008303309457,6.67008303309457,6.67008303309457,6.15211906474306,6.15211906474306,5.65532615028533,5.65532615028533,5.65532615028533,6,6,5,5,5,5.70405462772165,5.70405462772165,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,5.7912147657597,5.7912147657597,6,6,6,6,6,5.65532615028533,5.65532615028533,5.65532615028533,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,6,6,6,6,6,5.65532615028533,5.65532615028533,5.65532615028533,5.81988669003999,5.81988669003999,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000016,5.00000000000016,5.00000000000016,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0.499999999999972,0.499999999999972,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0.148230993190906,0.148230993190906,0.999999999999856,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0.148230993190906,0.148230993190906,0.101864781099296,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,1.60582658281772e-13,1.60582658281772e-13,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0.760226444160944,0.609850364612827,0.609850364612827,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0.760226444160944,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.5,5.5,5.5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.3598325292875,5.3598325292875,5.3598325292875,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000008,5.00000000000008,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,null,null,0,0,0,0,0,0,null,null,null,null,null,null,null,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,null,0,0,0,0,0,0,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,null,0,0,0,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999984,5.99999999999984,5.99999999999984,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,0,0,null,0,0,0,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,4.99999999999997,4.99999999999997,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,0,0,0,null,0,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5.3644836653804,5.3644836653804,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5.00000000000003,5.00000000000003,null,null,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,4.35462348157329,4.35462348157329,5,5,5.63551633461954,5.63551633461954,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,4,5,5,4.37213612581212,4.37213612581212,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4.68805580613408,4.68805580613408,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,4.99999999999989,4.99999999999989,5.35462348157323,5.35462348157323,5.0000000000001,5.0000000000001,5.3644836653804,5.3644836653804,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,4.31194419386592,4.31194419386592,5,5,5.62786387418788,5.62786387418788,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,4.62388838773189,4.62388838773189,5,5,5.37213612581206,5.37213612581206,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5.68805580613408,5.68805580613408,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5.24411258335224,5.24411258335224,5.24411258335224,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5,5,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4.10990292647344,4.10990292647344,4.96686754617886,4.96686754617886,5.00000000000008,5.00000000000008,5,5,5,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,6.00000000000014,6.00000000000014,5,5,5,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999998,5.99999999999998,5.99999999999998,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5.15115941099795,5.15115941099795,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.80195091051987,5.80195091051987,5.80195091051987,null,null,null,null,null,null,null,null,null,5.5,5.5,null,null,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.99999999999992,5.99999999999992,5.99999999999992,5.99999999999992,5.99999999999992,null,null,null,null,null,null,null,5.47064624128558,5.47064624128558,null,null,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.00000000000008,5.00000000000008,5,5,null,null,null,null,null,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,5,5,5,5,5,5,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5,5,5.99999999999992,5.99999999999992,5.99999999999992,5.99999999999992,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.06982500535979,5.06982500535979,4.99999999999994,4.99999999999994,4.99999999999994,5,5,5,5,4.99999999999993,4.99999999999993,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,5.93017499464008,5.93017499464008,5.68813055411422,5.68813055411422,5.68813055411422,5,5,5,5,5.89009707352663,5.89009707352663,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.06982500535992,5.06982500535992,5.68813055411422,5.68813055411422,5.68813055411422,5,5,5,5,5.89009707352663,5.89009707352663,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,5,5,5.52935375871438,5.52935375871438,5.72213677589701,5.72213677589701,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5.00000000000011,5.00000000000011,5.00000000000011,5.47064624128562,5.47064624128562,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5.68813055411422,5.68813055411422,5.68813055411422,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5.00000000000005,5.00000000000005,5.00000000000005,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,6,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5.31186944588578,5.31186944588578,5.31186944588578,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,null,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,5,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]];