⠨⠜⠸⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠉⠵⠑⠗⠝⠽⠁⠝⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠗⠁⠉⠉⠕⠇⠞⠁⠀⠙⠊⠀⠎⠞⠥⠙⠊
⠀⠎⠑⠇⠑⠵⠊⠕⠝⠁⠞⠊⠀⠞⠗⠁⠀⠇⠑⠀⠕⠏⠑⠗⠑⠀⠙⠊⠙⠁⠞⠞⠊⠉⠓⠑
⠀⠀⠏⠊⠾⠀⠊⠍⠏⠕⠗⠞⠁⠝⠞⠊⠀⠙⠊⠀⠨⠉⠁⠗⠇⠕⠀⠨⠉⠵⠑⠗⠝⠽⠂
⠀⠀⠗⠊⠧⠑⠙⠥⠞⠊⠂⠀⠙⠊⠞⠑⠛⠛⠊⠁⠞⠊⠀⠑⠀⠙⠊⠎⠞⠗⠊⠃⠥⠊⠞⠊
⠀⠀⠏⠗⠕⠛⠗⠑⠎⠎⠊⠧⠁⠍⠑⠝⠞⠑⠀⠊⠝⠀⠼⠁⠚⠀⠋⠁⠎⠉⠊⠉⠕⠇⠊
⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠀⠨⠁⠇⠑⠎⠎⠁⠝⠙⠗⠕⠀⠨⠇⠕⠝⠛⠕
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠋⠁⠎⠉⠊⠉⠕⠇⠕⠀⠨⠊
⠀⠀⠀⠀⠀⠀⠼⠋⠚⠀⠨⠎⠞⠥⠙⠊⠑⠞⠞⠊⠀⠑⠇⠑⠍⠑⠝⠞⠁⠗⠊
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠨⠏⠗⠊⠍⠕⠀⠏⠑⠗⠊⠕⠙⠕⠀
⠀⠀⠀⠀⠀⠀⠀⠙⠑⠇⠀⠨⠉⠕⠗⠎⠕⠀⠏⠗⠑⠏⠁⠗⠁⠞⠕⠗⠊⠕⠶
⠀⠀⠀⠀⠀⠀⠨⠑⠙⠊⠵⠊⠕⠝⠊⠀⠨⠉⠥⠗⠉⠊⠀⠤⠀⠨⠍⠊⠇⠁⠝⠕
⠀⠀⠀⠀⠀⠀⠀⠨⠍⠊⠇⠁⠝⠕⠀⠤⠀⠨⠕⠞⠞⠕⠃⠗⠑⠀⠼⠁⠊⠊⠛
⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠑⠃⠲⠀⠨⠁⠇⠇⠑⠛⠗⠑⠞⠞⠕⠀⠼⠒⠙
⠀⠀⠼⠢⠀⠨⠜⠀⠜⠌⠇⠀⠜⠍⠋371536⠨⠫⠄⠇⠉36512⠑⠉351024⠹⠀371536⠫⠄⠇⠉36512⠑⠉351024⠹⠀
⠜⠙353072⠨⠝⠄⠃⠉⠀343072⠞⠄⠁⠀⠜⠍⠋381536⠨⠻⠄⠇⠉⠉37512⠋361024⠱⠀401536⠪⠄⠅39512⠓⠉381024⠻⠇⠀
⠀⠀⠸⠜⠀⠜⠌⠇⠀281024⠐⠹⠅⠉⠉301024⠫321024⠳⠀281024⠹301024⠫321024⠳⠀291024⠱⠂311024⠻321024⠳⠀291024⠱311024⠻⠉321024⠳⠀
271024⠸⠺⠅⠉⠉291024⠱⠇321024⠳⠀271024⠸⠺291024⠱321024⠳⠀
⠀⠀⠼⠖⠀⠨⠜⠀⠜⠙383072⠨⠟⠄⠃⠉⠀373072⠏⠄⠁⠀⠜⠋⠄381024133⠦⠦⠩⠨⠻⠂⠴⠴⠁381024133⠻381024133⠻⠀
381024133⠦⠩⠻⠴36512⠑⠁⠉⠉385121⠛⠇40512⠊⠅385121⠛⠇⠀39102436⠦⠦⠳⠂⠼⠼⠁39102436⠳39102436⠳⠀39102436⠦⠳⠼39512⠓⠁⠉⠉41512⠚⠃43512⠑⠂41512⠚⠃
⠀⠀⠸⠜⠀271024⠸⠺291024⠱321024⠳⠀281024⠹⠂301024⠫⠉321024⠳⠀⠜⠼⠇⠄28102429⠦⠐⠹⠇⠌⠌⠃28102429⠦⠹28102429⠦⠹⠀28307229⠝⠄⠌⠀
27102429⠦⠦⠺⠂⠬⠬⠃27102429⠺27102429⠺⠀27102429⠦⠺⠬1024⠧1024⠧⠀
⠀⠀⠼⠂⠀⠨⠜⠀44512⠰⠋⠅43512⠑42512⠙41512⠚40512⠊39512⠓⠂⠀385121⠩⠛37512⠋36512⠑35512⠙⠂34512⠚33512⠊⠉⠀
32512⠓⠁39512⠨⠓⠇⠉⠉385121⠩⠛39512⠓385121⠛39512⠓⠉⠀323072⠐⠗⠄⠁⠣⠅⠄⠀⠜⠍⠋361536⠨⠱⠄⠃⠉37512⠋⠇⠉381024⠻⠂⠀
381536⠻⠄⠃⠉39512⠓⠉381024⠻⠃⠉⠀
⠀⠀⠸⠜⠀2130722326⠸⠝⠄⠅⠬⠇⠴⠀22307224128⠕⠄⠅⠩⠬⠇⠒⠀25307227⠗⠄⠃⠬⠁⠨⠉⠀25307227⠗⠄⠬⠣⠅⠄⠀
⠜⠌⠇271024⠸⠺⠅⠉⠉291024⠱321024⠳⠀271024⠸⠺291024⠱321024⠳⠀
⠀⠀⠼⠆⠀⠨⠜⠀371024⠨⠫⠁44512⠰⠋⠅⠉⠉42512⠙⠇44512⠋42512⠙⠉⠀393072⠨⠗⠄⠁⠀
⠜⠋391536⠨⠳⠄⠃⠉40512⠊⠇⠉411024-1⠣⠺⠂⠀411536-1⠣⠺⠄⠃⠉42512⠙⠉411024-1⠺⠃⠉⠀
401024⠪⠁47512⠰⠊⠅⠉⠉45512⠛⠇47512⠊45512⠛⠉⠀423072⠝⠄⠁⠀
⠀⠀⠸⠜⠀281024⠐⠹⠂301024⠫321024⠳⠀281024⠹301024⠫⠉321024⠳⠀301024⠫⠅⠉⠉321024⠳351024⠨⠹⠀301024⠐⠫321024⠳351024⠨⠹⠀
311024⠐⠻⠂331024⠪351024⠹⠀311024⠐⠻331024⠪⠉351024⠹⠀
⠀⠀⠼⠒⠀⠨⠜⠀⠜⠋⠄411024036⠦⠦⠡⠨⠺⠂⠴⠴⠁41102436⠺41102436⠺⠀41102436⠦⠺⠴39512⠓⠁⠉⠉41512⠚⠇43512⠑⠅41512⠚⠇⠀
42102439⠦⠦⠹⠂⠼⠼⠁42102439⠹42102439⠹⠀42102439⠦⠹⠼42512⠙⠁⠉⠉44512⠋⠃46512⠓⠂44512⠋⠃⠀47512⠊⠅46512⠓45512⠛44512⠋43512⠑42512⠙⠂⠀
41512⠚40512⠊39512⠓38512⠛⠂37512⠋36512⠑⠉⠀35512⠙⠁42512⠰⠙⠅⠉⠉41512⠚42512⠙41512⠚42512⠙⠉⠀351024⠦⠨⠹⠁1024⠧1024⠧⠣⠅⠀
⠀⠀⠸⠜⠀31102432⠦⠐⠻⠇⠌⠌⠃31102432⠦⠻31102432⠦⠻⠀31307232⠟⠄⠌⠀30102432⠦⠦⠫⠂⠬⠬⠃30102432⠫30102432⠫⠀30102432⠦⠫⠬1024⠧1024⠧⠀
⠜⠼⠇2430722629⠸⠟⠄⠅⠬⠇⠴⠀2530722731⠗⠄⠅⠬⠇⠒⠀28307230⠐⠝⠄⠃⠬⠨⠉⠀28102430⠹⠬1024⠧1024⠧⠣⠅⠀