⠨⠜⠸⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠉⠵⠑⠗⠝⠽⠁⠝⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠗⠁⠉⠉⠕⠇⠞⠁⠀⠙⠊⠀⠎⠞⠥⠙⠊
⠀⠎⠑⠇⠑⠵⠊⠕⠝⠁⠞⠊⠀⠞⠗⠁⠀⠇⠑⠀⠕⠏⠑⠗⠑⠀⠙⠊⠙⠁⠞⠞⠊⠉⠓⠑
⠀⠀⠏⠊⠾⠀⠊⠍⠏⠕⠗⠞⠁⠝⠞⠊⠀⠙⠊⠀⠨⠉⠁⠗⠇⠕⠀⠨⠉⠵⠑⠗⠝⠽⠂
⠀⠀⠗⠊⠧⠑⠙⠥⠞⠊⠂⠀⠙⠊⠞⠑⠛⠛⠊⠁⠞⠊⠀⠑⠀⠙⠊⠎⠞⠗⠊⠃⠥⠊⠞⠊
⠀⠀⠏⠗⠕⠛⠗⠑⠎⠎⠊⠧⠁⠍⠑⠝⠞⠑⠀⠊⠝⠀⠼⠁⠚⠀⠋⠁⠎⠉⠊⠉⠕⠇⠊
⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠀⠨⠁⠇⠑⠎⠎⠁⠝⠙⠗⠕⠀⠨⠇⠕⠝⠛⠕
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠋⠁⠎⠉⠊⠉⠕⠇⠕⠀⠨⠊
⠀⠀⠀⠀⠀⠀⠼⠋⠚⠀⠨⠎⠞⠥⠙⠊⠑⠞⠞⠊⠀⠑⠇⠑⠍⠑⠝⠞⠁⠗⠊
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠨⠏⠗⠊⠍⠕⠀⠏⠑⠗⠊⠕⠙⠕⠀
⠀⠀⠀⠀⠀⠀⠀⠙⠑⠇⠀⠨⠉⠕⠗⠎⠕⠀⠏⠗⠑⠏⠁⠗⠁⠞⠕⠗⠊⠕⠶
⠀⠀⠀⠀⠀⠀⠨⠑⠙⠊⠵⠊⠕⠝⠊⠀⠨⠉⠥⠗⠉⠊⠀⠤⠀⠨⠍⠊⠇⠁⠝⠕
⠀⠀⠀⠀⠀⠀⠀⠨⠍⠊⠇⠁⠝⠕⠀⠤⠀⠨⠕⠞⠞⠕⠃⠗⠑⠀⠼⠁⠊⠊⠛
⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠼⠑⠛⠲⠀⠨⠁⠇⠇⠑⠛⠗⠕⠀⠛⠊⠥⠎⠞⠕⠀⠨⠉
⠀⠀⠼⠂⠀⠨⠜⠀⠜⠌⠇⠀⠜⠍⠋⠄385121⠩⠨⠛⠃⠉⠉39512⠓40512⠊39512⠓3810240⠡⠻⠃⠉371024⠫⠀
365121⠩⠑⠃⠉⠉37512⠋38512⠛37512⠋3610240⠡⠱⠃⠉351024⠹⠀⠜⠙⠄3510241⠩⠨⠹⠃⠉361024⠱⠇3510241⠹⠃⠉361024⠱⠇⠀
⠜⠙⠄3610241⠩⠨⠱⠃⠉371024⠫⠇372048⠏⠁⠀
⠀⠀⠸⠜⠀⠜⠼⠇⠀21512⠸⠙⠂⠉⠉25512⠓23512⠋25512⠓21512⠙25512⠓23512⠋⠉25512⠓⠀21512⠙⠉⠉25512⠓23512⠋25512⠓21512⠙25512⠓23512⠋⠉25512⠓⠀
20512⠘⠚⠅⠉⠉25512⠸⠓24512⠛25512⠓20512⠘⠚25512⠸⠓24512⠛⠉25512⠓⠀21512⠙⠅⠉⠉25512⠓23512⠋25512⠓21512⠙25512⠓23512⠋⠉25512⠓⠀
⠀⠀⠼⠆⠀⠨⠜⠀⠜⠍⠋40512⠨⠊⠂⠉⠉39512⠓⠇385121⠩⠛⠃39512⠓⠇421024⠰⠹⠅⠉391024⠨⠳⠇⠀
385120⠡⠛⠃⠉⠉37512⠋⠁365121⠩⠑⠃37512⠋⠇391024⠳⠅⠉371024⠫⠇⠀3610240⠡⠱⠁⠉⠉411024⠨⠺⠅401024⠪⠂3810241⠩⠻⠃⠀
401024⠪⠂⠉391024⠳⠇392048⠗⠃⠣⠅⠄⠀
⠀⠀⠸⠜⠀21512⠸⠙⠉⠉25512⠓23512⠋25512⠓21512⠙25512⠓23512⠋⠉25512⠓⠀2151225512235122551221512255122351225512⠶⠀22512⠑⠅⠉⠉27512⠸⠚25512⠓27512⠚22512⠸⠑⠅28512⠐⠙26512⠊⠃28512⠙⠀
25512⠸⠓⠂29512⠐⠑27512⠚29512⠑⠉252048⠸⠗⠂⠣⠅⠄⠀
⠀⠀⠼⠒⠀⠨⠜⠀⠜⠍⠋⠄3820480⠡⠨⠟⠂⠉⠉355121⠩⠙⠃36512⠑⠁39512⠓⠂38512⠛⠇⠀371024⠫⠁421024⠰⠹⠅⠉392048⠨⠗⠃⠀
⠜⠏39512⠨⠓⠂⠉⠉38512⠛⠇37512⠋⠁38512⠛⠂355121⠩⠙⠃36512⠑⠁39512⠓⠂38512⠛⠇⠀371024⠫⠁421024⠰⠹⠅⠉392048⠨⠗⠃⠀
⠀⠀⠸⠜⠀25512⠸⠓⠅⠉⠉29512⠐⠑⠁27512⠚⠇29512⠑25512⠸⠓29512⠐⠑27512⠚29512⠑⠀
25512⠸⠓⠅30512⠐⠋⠁28512⠙⠃30512⠋25512⠸⠓30512⠐⠋28512⠙⠉30512⠋⠀25512⠸⠓⠉⠉29512⠐⠑27512⠚29512⠑25512⠸⠓29512⠐⠑27512⠚⠉29512⠑⠀
21512⠸⠙⠅⠉⠉25512⠓23512⠋25512⠓21512⠙25512⠓23512⠋⠉25512⠓⠀
⠀⠀⠼⠲⠀⠨⠜⠀⠜⠋⠄411024-1⠦⠦⠣⠨⠺⠂⠉411024-1⠺⠂⠉411024-1⠺⠂411024-1⠦⠺⠂⠀
401024⠪⠇⠉⠉421024⠹⠅415120⠡⠚⠂42512⠙⠅40512⠊⠇38512⠛⠁⠀371024⠫⠃391024⠳⠂385121⠩⠛⠇39512⠓⠂385120⠡⠛⠇⠉36512⠑⠁⠀
361024⠱⠇⠉351024⠹⠃352048⠝⠁⠣⠅⠀
⠀⠀⠸⠜⠀23512⠸⠋⠅⠉⠉28512⠐⠙⠁25512⠸⠓⠇28512⠐⠙23512⠸⠋28512⠐⠙25512⠸⠓28512⠐⠙⠀
24512⠸⠛⠂28512⠐⠙26512⠊28512⠙24512⠸⠛28512⠐⠙26512⠊⠉28512⠙⠀25512⠸⠓⠅⠉⠉30512⠐⠋28512⠙30512⠋25512⠸⠓⠅315120⠡⠐⠛⠁27512⠸⠚⠇31512⠐⠛⠀
28512⠙⠂32512⠓30512⠋32512⠓⠉282048⠝⠂⠣⠅⠀
⠀⠀⠀⠀⠀⠤⠼⠃⠓⠤⠼⠃⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠼⠙⠃⠀