⠨⠜⠸⠜
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠉⠊⠁⠊⠅⠕⠧⠎⠅⠊⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠨⠁⠇⠃⠥⠍⠀⠏⠑⠗⠀⠇⠁⠀⠛⠊⠕⠧⠑⠝⠞⠾⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠕⠏⠄⠀⠼⠉⠊⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠑⠗⠀⠏⠊⠁⠝⠕⠋⠕⠗⠞⠑⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠗⠊⠎⠞⠁⠍⠏⠁⠀⠼⠁⠊⠓⠊
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠗⠊⠉⠕⠗⠙⠊
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠑⠄⠀⠨⠗⠄⠀⠼⠑⠃⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒
⠀⠀⠀⠀⠀⠀⠀⠀⠨⠧⠕⠇⠥⠍⠑⠀⠨⠃⠗⠁⠊⠇⠇⠑⠀⠥⠝⠊⠉⠕
⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒
⠀⠀⠀⠀⠀⠀⠀⠨⠞⠗⠁⠎⠉⠗⠊⠞⠞⠕⠀⠊⠝⠀⠨⠃⠗⠁⠊⠇⠇⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠉⠥⠗⠁⠀⠙⠑⠇⠇⠁
⠀⠨⠃⠊⠃⠇⠊⠕⠞⠑⠉⠁⠀⠨⠊⠞⠁⠇⠊⠁⠝⠁⠀⠏⠑⠗⠀⠊⠀⠨⠉⠊⠑⠉⠓⠊
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠨⠍⠕⠝⠵⠁⠀⠤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠁⠊⠊⠊
⠀⠀⠀⠀⠀⠤⠼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠼⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠏⠑⠞⠑⠗⠀⠨⠉⠊⠁⠊⠅⠕⠧⠎⠅⠊⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠼⠁⠓⠙⠚⠤⠼⠁⠓⠊⠉⠶⠀
⠀⠀⠀⠀⠨⠁⠇⠃⠥⠍⠀⠏⠑⠗⠀⠇⠁⠀⠛⠊⠕⠧⠑⠝⠞⠾⠀⠕⠏⠄⠀⠼⠉⠊⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠑⠗⠀⠏⠊⠁⠝⠕⠋⠕⠗⠞⠑⠀
⠀⠀⠼⠁⠙⠲⠀⠨⠁⠝⠞⠊⠉⠁⠀⠉⠁⠝⠵⠕⠝⠑⠀⠋⠗⠁⠝⠉⠑⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠍⠕⠙⠑⠗⠁⠞⠕⠀⠣⠣⠼⠆⠙⠀
⠀⠀⠼⠂⠀⠨⠜⠀⠜⠌⠇⠀⠜⠏29512⠐⠑⠁⠉⠉⠀32512⠓⠃33512⠊34512-1⠚35512⠙⠁⠉⠀361536⠱⠄⠃36512⠑⠃⠉⠉⠀
35512⠙36512⠑37512-1⠋35512⠙⠉⠀361536⠱⠄36512⠑⠃⠉⠉⠀35512⠙36512⠑37512-1⠋35512⠙⠀36512⠑37256-1⠯36256⠵35512⠙34512-1⠚⠇⠀
⠀⠀⠸⠜⠀⠜⠼⠇⠀512⠭⠀252048⠸⠗⠅⠈⠉⠣⠜27512-1⠸⠚⠇⠉⠉28512⠙29512⠑28512⠙⠉⠀251024⠸⠳251024⠳⠈⠉⠣⠜272048-1⠸⠞⠀
252048⠸⠗⠈⠉⠣⠜301024-1⠐⠫⠁⠉281024⠹⠃⠉⠀251024⠸⠳251024⠳⠈⠉⠣⠜271024-1⠸⠺⠇251024⠳⠉⠀252048⠸⠗⠈⠉⠣⠜301024-1⠐⠫⠉281024⠹⠉
251024⠸⠳251024⠳⠣⠜271024-1⠸⠺251024⠳⠃⠉⠀
⠀⠀⠼⠆⠀⠨⠜⠀331792⠨⠦⠐⠪⠄⠄⠃32256⠷⠉⠀321536⠳⠄⠃⠜⠏⠏29512⠐⠑⠁⠉⠉⠀32512⠓⠃33512⠊34512-1⠚35512⠙⠁⠉⠀
361536⠱⠄⠃36512⠑⠃⠉⠉⠀35512⠙36512⠑37512-1⠋35512⠙⠉⠀361536⠱⠄36512⠑⠃⠉⠉⠀35512⠙36512⠑37512-1⠋35512⠙⠀
⠀⠀⠸⠜⠀2410241⠩⠸⠻⠇221024⠱⠅⠣⠜282048⠐⠝⠁⠉⠀25102427-1⠸⠳⠃⠬⠁181024⠦⠘⠳⠀
252048⠸⠗⠅⠈⠉⠣⠜27512-1⠸⠚⠇⠉⠉28512⠙29512⠑28512⠙⠉⠀251024⠸⠳251024⠳⠈⠉⠣⠜272048-1⠸⠞⠀
252048⠸⠗⠈⠉⠣⠜301024-1⠐⠫⠁⠉281024⠹⠃⠉⠀251024⠸⠳251024⠳⠈⠉⠣⠜271024-1⠸⠺⠇251024⠳⠉⠀252048⠸⠗⠈⠉⠣⠜301024-1⠐⠫⠉281024⠹⠉
⠀⠀⠼⠒⠀⠨⠜⠀36512⠨⠑37256-1⠯36256⠵35512⠙34512-1⠚⠇⠀331792⠨⠦⠪⠄⠄⠃32256⠷⠉⠀322048⠗⠀⠜⠏321024⠐⠳⠃⠉32512⠓⠁⠉33512⠊⠉
341536-1⠺⠄34512-1⠚⠉⠀351024⠹351024⠹⠉⠀
⠀⠀⠸⠜⠀251024⠸⠳251024⠳⠣⠜271024-1⠸⠺251024⠳⠃⠉⠀2410241⠩⠸⠻⠇221024⠱⠅⠣⠜282048⠐⠝⠁⠉⠀25204827-1⠸⠗⠃⠬⠁
⠣⠉21512⠦⠦⠙⠅25512⠓⠃28512⠐⠙⠁30512-1⠋⠃⠀⠣⠉18512⠘⠓⠅25512⠸⠓⠁27512-1⠚⠃29512⠑⠁⠀
⠣⠉21512⠸⠙⠅25512⠓⠃28512⠐⠙⠁30512-1⠋⠃⠀
⠀⠀⠼⠲⠀⠨⠜⠀⠜⠉331536⠐⠪⠄33512⠊⠉⠀361536⠨⠱⠄36512⠑⠃⠉⠉⠀⠜⠍⠋37512-1⠨⠋⠇38256⠿37256-1⠯36512⠑35512⠙⠀
341024-1⠺⠇⠜⠙33512⠐⠊32512⠓⠉⠀331536311⠪⠄⠅⠩⠬⠇⠜⠏29512⠐⠑⠁⠉⠉⠀32512⠓⠃33512⠊34512-1⠚35512⠙⠁⠉⠀
⠀⠀⠸⠜⠀⠣⠉22512⠦⠦⠸⠑⠅26512⠊⠃28512⠙⠁315121⠦⠩⠛⠃⠀2551227-1⠸⠓⠅⠉⠬⠂29512⠐⠑⠃⠉32512⠓⠁512⠭⠡⠉⠀
28204830-132⠝⠉⠬⠔⠀29102432⠱⠼1024⠧⠀291024⠱⠉221024⠸⠱⠀252048⠸⠗⠅⠈⠉⠣⠜27512-1⠸⠚⠇⠉⠉28512⠙29512⠑28512⠙⠉⠀
⠀⠀⠼⠢⠀⠨⠜⠀361536⠨⠱⠄⠃36512⠑⠃⠉⠉⠀35512⠙36512⠑37512-1⠋35512⠙⠉⠀361536⠱⠄36512⠑⠃⠉⠉⠀35512⠙36512⠑37512-1⠋35512⠙⠀
36512⠑37256-1⠯36256⠵35512⠙34512-1⠚⠂⠀331792⠨⠦⠐⠪⠄⠄⠅32256⠷⠉⠣⠜301024-1⠐⠫⠃⠉291024⠱⠀32204827-1⠐⠗⠅⠴⠃⠣⠅
⠀⠀⠸⠜⠀251024⠸⠳251024⠳⠈⠉⠣⠜272048-1⠸⠞⠀252048⠸⠗⠈⠉⠣⠜301024-1⠐⠫⠁⠉281024⠹⠃⠉⠀
251024⠸⠳251024⠳⠈⠉⠣⠜271024-1⠸⠺⠇251024⠳⠉⠀252048⠸⠗⠈⠉⠣⠜301024-1⠐⠫⠉281024⠹⠉⠀251024⠸⠳251024⠳⠉⠣⠜271024-1⠸⠺251024⠳⠃⠉⠀
⠣⠉21102425⠹⠅⠉⠔⠁⠉⠣⠉221024241⠱⠃⠉⠩⠬⠃⠉⠀⠣⠉18204822⠘⠗⠅⠔⠁⠡⠉⠣⠅⠀⠐⠒
⠀