⠨⠜⠜⠌⠇⠸⠜⠜⠼⠇
⠀⠀⠀⠀⠀⠀⠀⠨⠚⠕⠓⠁⠝⠝⠀⠨⠎⠑⠃⠁⠎⠞⠊⠁⠝⠀⠨⠃⠁⠉⠓
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠕⠗⠛⠑⠇⠺⠑⠗⠅⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠃⠁⠝⠙⠀⠨⠧⠊⠊
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠥⠗⠞⠑⠭⠞
⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠓⠑⠗⠁⠥⠎⠛⠑⠛⠑⠃⠑⠝⠀⠧⠕⠝
⠀⠀⠀⠨⠋⠗⠊⠑⠙⠗⠊⠉⠓⠀⠨⠉⠕⠝⠗⠁⠙⠀⠨⠛⠗⠊⠑⠏⠑⠝⠅⠑⠗⠇⠀
⠀⠀⠀⠀⠀⠀⠀⠥⠝⠙⠀⠨⠋⠑⠗⠙⠊⠝⠁⠝⠙⠀⠨⠗⠕⠊⠞⠵⠎⠉⠓
⠀⠀⠀⠀⠀⠀⠀⠀⠨⠝⠑⠥⠀⠙⠥⠗⠉⠓⠛⠑⠎⠑⠓⠑⠝⠀⠧⠕⠝
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠓⠑⠗⠍⠁⠝⠝⠀⠨⠅⠑⠇⠇⠑⠗
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠝⠗⠄⠀⠼⠃⠙⠋⠸⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠑⠙⠊⠞⠊⠕⠝⠀⠨⠏⠑⠞⠑⠗⠎
⠀⠀⠨⠇⠕⠝⠙⠕⠝⠀⠤⠀⠨⠋⠗⠁⠝⠅⠋⠥⠗⠞⠀⠤⠀⠨⠝⠑⠺⠀⠨⠽⠕⠗⠅
⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒
⠀⠀⠀⠀⠀⠀⠀⠀⠨⠧⠕⠇⠥⠍⠑⠀⠨⠃⠗⠁⠊⠇⠇⠑⠀⠥⠝⠊⠉⠕
⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒
⠀⠀⠀⠀⠀⠀⠀⠨⠞⠗⠁⠎⠉⠗⠊⠞⠞⠕⠀⠊⠝⠀⠨⠃⠗⠁⠊⠇⠇⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠉⠥⠗⠁⠀⠙⠑⠇⠇⠁
⠀⠨⠃⠊⠃⠇⠊⠕⠞⠑⠉⠁⠀⠨⠊⠞⠁⠇⠊⠁⠝⠁⠀⠏⠑⠗⠀⠊⠀⠨⠉⠊⠑⠉⠓⠊
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠨⠍⠕⠝⠵⠁⠀⠤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠃⠚⠚⠚
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠙⠚⠸⠁⠲⠀
⠀⠀⠨⠅⠽⠗⠊⠑⠂⠀⠨⠛⠕⠞⠞⠀⠨⠧⠁⠞⠑⠗⠀⠊⠝⠀⠨⠑⠺⠊⠛⠅⠑⠊⠞⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠨⠁⠇⠊⠕⠀⠍⠕⠙⠕⠶
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠍⠁⠝⠥⠁⠇⠊⠞⠑⠗
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠒⠙
⠀⠀⠼⠂⠀⠨⠜⠀⠜⠌⠇⠀3072⠍⠣⠜⠄3072⠍⠣⠜323072⠐⠗⠄⠈⠉⠀3072⠍⠣⠜333072⠐⠎⠄⠣⠜322048⠐⠗3110241⠩⠻⠀
363072⠨⠕⠄⠣⠜34512⠐⠚315121⠩⠛32512⠓33512⠊34512⠚33512⠊⠣⠜32512⠐⠓29512⠑30512⠋315121⠩⠛32512⠓315121⠛⠀
373072⠨⠏⠄⠣⠜⠄512⠭32512⠐⠓33512⠊34512⠚35512⠙34512⠚⠣⠜⠄512⠭30512⠐⠋315121⠩⠛32512⠓33512⠊32512⠓⠀
3810241⠩⠨⠻39512⠓385121⠛371024⠫⠈⠉⠣⠜331024⠐⠪34512⠚33512⠊321024⠳⠣⠜⠄315121⠩⠐⠛30512⠋291024⠱⠈⠉291024⠱⠀
371024⠨⠫361536⠱⠄35512⠙⠣⠜331536⠐⠪⠄32512⠓3110241⠩⠻⠀34512⠐⠖⠐⠚33512⠊322048⠗⠈⠉⠣⠜321024⠐⠳512⠭27512⠸⠚30512⠐⠋29512⠑
⠀⠀⠸⠜⠀⠜⠼⠇⠀512⠭25512⠸⠓26512⠊27512⠚28512⠙27512⠚⠀512⠭26512⠊27512⠚28512⠙29512⠑28512⠙⠀273072⠞⠄⠀283072⠝⠄⠀29512⠑28512⠙271024⠺28512⠙27512⠚⠀
26512⠸⠊25512⠓245121⠩⠛23512⠋221024⠱⠣⠜28512⠐⠙27512⠚262048⠎⠀183072⠘⠗⠄⠣⠜⠄512⠭22512⠸⠑23512⠋245121⠩⠛25512⠓245121⠛
⠀⠀⠼⠆⠀⠨⠜⠀32512⠐⠓34512⠚33512⠊32512⠓315121⠩⠛30512⠋⠣⠜⠄2810241⠩⠐⠹2820480⠡⠝⠈⠉⠀
2910241⠩⠐⠱2910240⠡⠱341024⠐⠺⠈⠉⠣⠜285120⠐⠙28512⠙⠜⠼⠅27512⠸⠚26512⠊2510241⠩⠳⠈⠉⠀
34512⠐⠚33512⠊325121⠩⠓33512⠊34512⠚35512⠙⠣⠜2510241⠸⠳⠜⠌⠅301024⠐⠫331024⠪⠈⠉⠀361024⠨⠱351024⠹341024⠺⠣⠜331024⠐⠪331024⠪3210241⠩⠳⠀
371024⠨⠫361024⠱351024⠹⠣⠜351024⠨⠹341024⠺331024⠪⠈⠉⠀38512⠨⠛34512⠐⠚35512⠙36512⠑371024⠫⠈⠉⠣⠜331024⠐⠪325121⠩⠓315121⠩⠛3210241⠳⠀
37512⠨⠋36512⠑35512⠙34512⠚33512⠊32512⠓⠣⠜331536⠐⠪⠄325120⠡⠓315121⠩⠛30512⠋⠀3110241⠩⠐⠻32512⠓33512⠊341024⠺⠣⠜⠄2910241⠩⠐⠱30512⠋315121⠩⠛321024⠳⠈⠉
⠀⠀⠸⠜⠀193072⠘⠎⠄⠣⠜⠄512⠭23512⠸⠋245121⠩⠛25512⠓26512⠊25512⠓⠀203072⠘⠞⠄⠣⠜⠄245121⠩⠸⠛26512⠊255121⠩⠓245121⠛23512⠋22512⠑⠀
213072⠸⠝⠄⠣⠜231024⠸⠫1024⠧1024⠧⠀512⠭20512⠘⠚21512⠙22512⠑23512⠋22512⠑⠣⠜⠄3072⠍⠀512⠭21512⠸⠙22512⠑23512⠋24512⠛23512⠋⠣⠜263072⠸⠎⠄⠀
221024⠸⠱231536⠫⠄22512⠑⠣⠜273072⠸⠞⠄⠀211024⠸⠹231024⠫261024⠪⠈⠉⠣⠜283072⠐⠝⠄⠈⠉⠀
26512⠸⠊26512⠊25512⠓245121⠩⠛23512⠋225120⠡⠑⠣⠜28512⠐⠙28512⠙27512⠚26512⠊25512⠓245121⠩⠛
⠀⠀⠼⠒⠀⠨⠜⠀373072⠨⠏⠄⠣⠜32512⠐⠓30512⠋315121⠩⠛32512⠓33512⠊32512⠓⠀3830721⠩⠨⠟⠄⠣⠜⠄512⠭315121⠩⠐⠛32512⠓33512⠊34512⠚33512⠊⠀
391024⠨⠳3810240⠡⠻3510241⠩⠹⠣⠜32512⠐⠓33256⠮34256-1⠣⠾332048⠎⠀363072⠨⠕⠄⠈⠉⠣⠜⠄512⠭33512⠐⠊32512⠓31512⠛30512⠋32512⠓⠀
362048⠨⠕3510241⠩⠹⠣⠜31512⠐⠛29512⠑30512⠋31512⠛32512⠓30512⠋⠀361536⠨⠱⠄355120⠡⠙345120⠡⠚33512⠊⠣⠜313072⠐⠟⠄⠀
3210241⠩⠐⠳332048⠎⠣⠜303072⠐⠏⠄⠈⠉⠀343072⠐⠞⠄⠈⠉⠣⠜302048⠐⠏271024⠸⠺
⠀⠀⠸⠜⠀213072⠸⠝⠄⠣⠜23512⠸⠋25512⠓26512⠊27512⠚28512⠙27512⠚⠀223072⠸⠕⠄⠣⠜⠄512⠭26512⠸⠊27512⠚28512⠙29512⠑28512⠙⠀
512⠭23512⠸⠋245120⠡⠛25512⠓26512⠊25512⠓⠣⠜27512⠸⠚285121⠩⠙29512⠑30512⠋31512⠛30512⠋⠀241024⠸⠻271024-1⠣⠺251024⠳⠣⠜292048⠐⠕1024⠧⠀261024⠸⠪192048⠘⠎⠣⠜⠄3072⠍
223072⠸⠕⠄⠈⠉⠣⠜⠄512⠭26512⠸⠊275120⠡⠚285120⠡⠙29512⠑28512⠙⠀22512⠸⠑22512⠑21512⠙20512⠚19512⠊20512⠚⠣⠜271024⠸⠺282048⠝⠀
⠀⠀⠀⠀⠀⠤⠼⠃⠋⠤⠼⠃⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠼⠙⠊
1830721⠩⠘⠗⠄⠣⠜⠄512⠭20512⠘⠚21512⠙22512⠑23512⠋22512⠑
⠀⠀⠼⠲⠀⠨⠜⠀341024⠐⠺33512⠊325121⠩⠓331024⠪⠈⠉⠣⠜283072⠐⠝⠄⠀331024⠐⠪3210241⠩⠳3210240⠡⠳⠈⠉⠣⠜272048⠸⠞271024-1⠣⠺⠀
325120⠐⠓32512⠓31512⠛30512⠋29512⠑31512⠛⠀302048⠏⠈⠉30512⠋30512⠋⠀333072⠎⠄⠈⠉⠀33512⠐⠊322561⠩⠷312561⠩⠿325121⠓33512⠊341024⠺⠣⠜281024⠐⠹27512⠚28512⠙291024⠱⠀
303072⠐⠏⠄⠈⠉⠀302048⠏2910241⠩⠱⠀303072⠏⠄⠣⠅
⠀⠀⠸⠜⠀193072⠘⠎⠄⠣⠜⠄512⠭21512⠸⠙22512⠑23512⠋24512⠛23512⠋⠀512⠭20512⠘⠚21512⠙22512⠑23512⠋22512⠑⠣⠜221024⠸⠱23512⠋24512⠛25512⠓24512⠛⠀
2110241⠩⠸⠹222048⠕⠈⠉⠣⠜231024⠸⠫1024⠧1024⠧⠣⠜261536⠸⠪⠄285120⠡⠙275120⠡⠚26512⠊⠀22512⠸⠑22512⠑21512⠙20512⠚19512⠊21512⠙⠣⠜
3072⠍⠣⠜⠄2510241⠩⠸⠳26512⠊27512⠚281024⠹⠈⠉⠀173072⠘⠟⠄⠣⠜⠄512⠭24512⠸⠛23512⠋22512⠑21512⠙22512⠑⠣⠜
28512⠐⠙27512⠚28512⠙⠜⠌⠅29512⠐⠑30512⠋29512⠑⠀163072⠘⠏⠄⠈⠉⠣⠜⠄512⠭23512⠸⠋22512⠑21512⠙20512⠚21512⠙⠀
163072⠘⠏⠄⠈⠉⠣⠜22512⠸⠑20512⠚21512⠙22512⠑23512⠋22512⠑⠣⠜⠄2530721⠩⠸⠗⠄⠈⠉⠀
163072⠘⠏⠄⠈⠉⠣⠜⠄2110241⠩⠸⠹215120⠡⠙20512⠚211024⠹⠣⠜255121⠸⠓27512⠚26512⠊255121⠩⠓245121⠩⠛26512⠊⠀16307220251⠘⠏⠄⠔⠩⠬⠣⠅⠀⠐⠒
⠀