⠨⠜⠜⠌⠇⠸⠜⠜⠼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠗⠕⠃⠑⠗⠞⠀⠨⠎⠉⠓⠥⠍⠁⠝⠝
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠅⠊⠝⠙⠑⠗⠎⠵⠑⠝⠑⠝
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠕⠏⠥⠎⠀⠼⠁⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠼⠂⠁⠀⠨⠑⠙⠊⠉⠊⠬⠝⠀⠨⠃⠗⠁⠊⠇⠇⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠕⠄⠨⠝⠄⠨⠉⠄⠨⠑⠄
⠀⠀⠀⠀⠀⠀⠀⠨⠎⠑⠗⠧⠊⠉⠊⠕⠀⠨⠃⠊⠃⠇⠊⠕⠛⠗⠷⠋⠊⠉⠕
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠉⠄⠀⠨⠇⠁⠀⠨⠉⠕⠗⠥⠻⠁⠂⠀⠼⠁⠓
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠃⠓⠚⠃⠚⠀⠨⠍⠁⠙⠗⠊⠙
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠞⠑⠇⠋⠄⠒⠀⠼⠊⠁⠑⠓⠊⠙⠃⠚⠚
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠃⠚⠚⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠧⠕⠇⠥⠍⠑⠝⠀⠾⠝⠊⠉⠕
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠀⠀⠀⠀⠀⠀⠀⠼⠃⠄⠀⠨⠅⠥⠗⠊⠕⠎⠑⠀⠨⠛⠑⠎⠉⠓⠊⠉⠓⠞⠑
⠀⠀⠀⠀⠨⠍⠄⠨⠍⠄⠀⠹⠶⠼⠁⠁⠃⠀⠩⠩⠼⠉⠲
⠀⠀⠨⠜⠄⠜⠍⠋311024129⠐⠻⠃⠉⠬⠀34⠢⠾⠉33⠢⠮⠉32512281⠓⠔256⠍312561281⠿⠃⠼321024281⠳⠔341024281⠺⠉⠒
⠀⠀⠸⠜⠄⠣⠉22102426⠸⠱⠂⠉⠔⠀⠀2351226⠋⠼256⠍22256126⠩⠵⠔23102426⠫⠼25102426⠳⠉⠌
⠨⠜33204829⠐⠎⠂⠔36102433⠨⠱⠅⠉⠼⠃⠀⠀⠀⠀35512132⠙⠼256⠍34256311⠾⠅⠼⠃33102430⠪⠼3910243332⠨⠦⠨⠳⠉⠒⠤
⠸⠜24512126⠸⠛⠬256⠍23256126⠩⠯⠼241024126⠻⠬241024126⠻⠃⠉⠬⠀23512026⠡⠋⠼256⠍2225626⠵⠔211024126⠹⠴19102426⠪⠉⠤
⠨⠜38512136311⠨⠛⠂⠬⠤256⠍3725635132⠯⠬⠴36102433⠱⠂⠼⠃311024129⠐⠻⠃⠉⠬
⠸⠜2251226⠸⠑⠂⠔256⠍2325626⠯⠼241024126⠻⠬22102426⠱⠉⠔
⠨⠜⠄34⠢⠐⠾⠉33⠢⠮⠉32512281⠓⠔256⠍312561281⠿⠼321024281⠳⠔341024281⠺⠉⠒
⠸⠜2351226⠸⠋⠼256⠍22256126⠩⠵⠔23102426⠫⠼25102426⠳⠉⠌
⠨⠜33204829⠐⠎⠔⠨⠅36768⠨⠑⠄⠅⠉352561⠽⠇⠐⠂331024⠐⠪⠁
⠸⠜24512126⠸⠛⠬256⠍23256126⠩⠯⠼241024126⠻⠬⠨⠅2410241⠸⠻⠉⠐⠂26512⠸⠊⠃27512⠚
⠨⠜⠄⠜⠉355121⠰⠃⠨⠙⠃36512⠑37512⠋385121⠛387681⠛⠄⠃392561⠩⠷⠣⠜332048⠐⠎⠁361024⠨⠱⠁⠈⠉
⠸⠜⠄235120281⠡⠸⠋⠴⠃29512⠐⠑30512⠋⠇315121⠛⠨⠅301024⠐⠫⠇⠈⠉⠐⠂317681⠐⠛⠄⠃322561⠩⠷
⠨⠜⠄391024136⠩⠨⠳⠂⠼401024351⠪⠴⠘⠆⠣⠆⠐
⠸⠜301024321⠐⠫⠩⠬⠃26102433⠸⠪⠤⠣⠆⠐
⠀⠀⠼⠊⠀⠨⠜⠄⠣⠶⠄⠜⠏37512⠰⠃⠨⠋⠃385121⠛⠣⠜3510240⠡⠨⠹⠁
⠀⠀⠀⠀⠀⠸⠜⠄⠣⠶261024⠰⠃⠸⠪⠣⠜30512⠐⠋⠃315121⠛⠁
⠨⠜⠄⠜⠉⠄395120⠡⠨⠓40512⠊39512⠓385121⠛39512⠓⠅385121⠛⠂⠣⠜342048⠐⠞3610241⠩⠱⠃
⠸⠜272048⠸⠞271024⠺⠣⠜325120⠡⠐⠓⠃33512⠊32512⠓315121⠛32512⠓⠁315121⠛
⠨⠜372048⠨⠏⠜⠙⠄365120⠡⠨⠑⠅355120⠡⠙⠣⠜3520480⠡⠨⠝331024⠪⠃
⠸⠜⠄285120⠡⠐⠙⠂27512⠚⠇26512⠊25512⠓25512⠓⠇245121⠛⠣⠜302048⠐⠏⠁2910240⠡⠱⠈⠉
⠨⠜341024⠐⠺3510240⠡⠹⠅341024⠺⠂⠣⠜321024⠐⠳32512⠓⠁33512⠊⠃3351229⠊⠇⠔32512⠓
⠸⠜25512⠸⠓245121⠛23512⠋245121⠛⠇25512⠓22512⠑⠂⠣⠜2910240⠐⠱2810240⠡⠹271024⠺
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠚⠁⠁⠑⠓⠙⠛
⠨⠜332048⠐⠎⠅⠘⠆⠜⠉3110241⠐⠻⠇⠉⠣⠜3251229⠐⠓⠂⠼315121⠛30512⠋29512⠑29512⠑⠃275121⠩⠚
⠸⠜22204826⠸⠕⠅⠔⠁22512⠑⠅225121⠩⠑⠣⠜25512⠸⠓245121⠛23512⠋225121⠑261024⠪
⠨⠜⠄⠜⠏⠄34⠢⠐⠾⠉33⠢⠮⠉32512281⠓⠔256⠍312561281⠿⠼321024281⠳⠔341024281⠺⠉⠒
⠸⠜2351226⠸⠋⠼256⠍22256126⠩⠵⠔23102426⠫⠼25102426⠳⠉⠌
⠨⠜33204829⠐⠎⠔36102433⠨⠱⠉⠼⠀⠀⠀⠀⠀⠀35512132⠙⠼256⠍34256311⠾⠼33102430⠪⠼3910243332⠨⠦⠨⠳⠉⠒⠤
⠸⠜24512126⠸⠛⠬256⠍23256126⠩⠯⠼241024126⠻⠬241024126⠻⠉⠬⠀23512026⠡⠋⠼256⠍2225626⠵⠔211024126⠹⠴1951226⠊⠉⠤215121⠙⠇⠉
⠨⠜38512136311⠨⠛⠬⠤256⠍3725635132⠯⠬⠴36102433⠱⠼⠜⠍⠋311024129⠐⠻⠉⠬
⠸⠜2251226⠸⠑⠃⠔256⠍2325626⠯⠇⠼241024126⠻⠬22102426⠱⠉⠔
⠼⠁⠛⠀⠨⠜⠄34⠢⠐⠾⠉33⠢⠮⠉32512281⠓⠔256⠍312561281⠿⠼321024281⠳⠔34768281⠚⠄⠉⠒33256⠮
⠀⠀⠀⠀⠸⠜2351226⠸⠋⠼256⠍22256126⠩⠵⠔23102426⠫⠼25102426⠳⠇⠉⠌⠁
⠨⠜⠄⠜⠉3351229⠰⠃⠐⠊⠃⠔34512⠚355121⠙36512⠑⠨⠅36512⠨⠑⠇37512⠋⠜⠒⠐⠂341024⠐⠺⠃
⠸⠜2420481⠸⠟⠂251024⠳⠣⠜26512⠰⠃⠸⠊⠃27512⠚285121⠙⠃29512⠑29512⠑⠃30512⠋
⠨⠜⠄⠜⠗⠊⠞⠁⠗⠙⠄3820481⠨⠟371024⠫⠈⠉⠣⠜331024⠐⠪2048⠐⠥
⠸⠜262048⠸⠎3072⠸⠅⠄321024⠐⠳⠈⠉⠣⠜315121⠐⠛⠃32512⠓⠨⠜33512⠐⠊34512⠚34512⠚⠁⠘⠆355121⠙⠇
⠨⠜⠄⠜⠙371024351⠨⠫⠬⠃36102436⠱⠨⠤⠘⠆⠣⠆
⠸⠜292048⠐⠕⠣⠜321024⠐⠳3110241⠻⠣⠆⠀