⠨⠜⠜⠌⠇⠸⠜⠜⠼⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠉⠵⠑⠗⠝⠽⠁⠝⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠗⠁⠉⠉⠕⠇⠞⠁⠀⠙⠊⠀⠎⠞⠥⠙⠊
⠀⠎⠑⠇⠑⠵⠊⠕⠝⠁⠞⠊⠀⠞⠗⠁⠀⠇⠑⠀⠕⠏⠑⠗⠑⠀⠙⠊⠙⠁⠞⠞⠊⠉⠓⠑
⠀⠀⠏⠊⠾⠀⠊⠍⠏⠕⠗⠞⠁⠝⠞⠊⠀⠙⠊⠀⠨⠉⠁⠗⠇⠕⠀⠨⠉⠵⠑⠗⠝⠽⠂
⠀⠀⠗⠊⠧⠑⠙⠥⠞⠊⠂⠀⠙⠊⠞⠑⠛⠛⠊⠁⠞⠊⠀⠑⠀⠙⠊⠎⠞⠗⠊⠃⠥⠊⠞⠊
⠀⠀⠏⠗⠕⠛⠗⠑⠎⠎⠊⠧⠁⠍⠑⠝⠞⠑⠀⠊⠝⠀⠼⠁⠚⠀⠋⠁⠎⠉⠊⠉⠕⠇⠊
⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠀⠨⠁⠇⠑⠎⠎⠁⠝⠙⠗⠕⠀⠨⠇⠕⠝⠛⠕
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠋⠁⠎⠉⠊⠉⠕⠇⠕⠀⠨⠊⠧
⠀⠀⠀⠀⠀⠀⠀⠀⠼⠃⠑⠀⠨⠎⠞⠥⠙⠊⠀⠏⠗⠕⠛⠗⠑⠎⠎⠊⠧⠊
⠀⠶⠨⠎⠑⠉⠕⠝⠙⠕⠀⠏⠑⠗⠊⠕⠙⠕⠀⠙⠑⠇⠀⠨⠏⠗⠊⠍⠕⠀⠨⠉⠕⠗⠎⠕⠶
⠀⠀⠀⠀⠀⠀⠨⠑⠙⠊⠵⠊⠕⠝⠊⠀⠨⠉⠥⠗⠉⠊⠀⠤⠀⠨⠍⠊⠇⠁⠝⠕
⠀⠀⠀⠀⠀⠀⠨⠍⠊⠇⠁⠝⠕⠀⠤⠀⠎⠑⠞⠞⠑⠍⠃⠗⠑⠀⠼⠁⠊⠊⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒
⠀⠀⠀⠀⠀⠀⠀⠀⠨⠧⠕⠇⠥⠍⠑⠀⠨⠃⠗⠁⠊⠇⠇⠑⠀⠥⠝⠊⠉⠕
⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒
⠀⠀⠀⠀⠀⠀⠀⠨⠞⠗⠁⠎⠉⠗⠊⠞⠞⠕⠀⠊⠝⠀⠨⠃⠗⠁⠊⠇⠇⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠉⠥⠗⠁⠀⠙⠑⠇⠇⠁
⠀⠨⠃⠊⠃⠇⠊⠕⠞⠑⠉⠁⠀⠨⠊⠞⠁⠇⠊⠁⠝⠁⠀⠏⠑⠗⠀⠊⠀⠨⠉⠊⠑⠉⠓⠊
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠨⠍⠕⠝⠵⠁⠀⠤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠃⠚⠚⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠼⠁⠛⠲⠀⠨⠍⠕⠙⠑⠗⠁⠞⠕⠀⠩⠩⠩⠼⠒⠙
⠀⠀⠼⠂⠀⠨⠜⠀⠜⠌⠇⠀⠜⠏372048351⠨⠏⠅⠉⠬⠇351024133⠹⠇⠉⠬⠁⠀353072133⠝⠄⠃⠬⠁⠀
402048351⠨⠎⠅⠉⠴⠃371024351⠫⠇⠉⠬⠃⠀373072351⠏⠄⠂⠬⠃
⠀⠀⠸⠜⠀⠜⠼⠇⠀19256start⠘⠮⠅⠉⠉212561continue⠙⠇23256continue⠋⠃26256stop⠊⠁282561start⠽⠃30256continue⠋⠁26256continue⠸⠊⠇282561stop⠙⠃⠐
23256start⠸⠯⠅26256continue⠊⠁212561continue⠸⠙⠇⠉23256stop⠋⠃⠀19256start212561continue23256continue26256stop282561start30256continue26256continue282561stop23256start26256continue212561continue23256stop19256start212561continue23256continue26256stop282561start30256continue26256continue282561stop23256start26256continue212561continue23256stop19256start212561continue23256continue26256stop282561start30256continue26256continue282561stop23256start26256continue212561continue23256stop⠶⠼⠉⠀
⠀⠀⠼⠆⠀⠨⠜⠀⠜⠉⠗⠑⠎⠉⠄422048137⠰⠝⠂⠉⠉⠴421024137⠹⠅⠴⠁⠀
41153636⠺⠄⠂⠴⠁42512137⠙⠅⠴⠁41102436⠺⠂⠉⠴⠁⠀⠜⠋403072351⠨⠎⠄⠅⠴⠃⠀
⠼⠂⠄512⠭30512⠐⠋⠁⠉33512⠊⠇⠜⠙⠄34512321⠦⠐⠚⠂⠬⠃35512133⠦⠙⠇⠬⠁3651234⠦⠑⠂⠬⠃⠣⠆⠀
⠀⠀⠀⠀⠀⠤⠼⠃⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠼⠉⠓
⠼⠆⠄512⠭⠜⠙37512351⠨⠋⠂⠉⠉⠬⠃365121341⠩⠑⠇⠩⠬⠁37512351⠋⠂⠬⠃385121360⠛⠅⠡⠬⠁37512351⠋⠂⠉⠬⠃⠣⠅⠄
⠀⠀⠸⠜⠀19256start⠘⠮⠉⠉212561continue⠙23256continue⠋26256stop⠊282561start⠽⠃26256continue⠊⠂30256continue⠐⠋⠁282561stop⠙⠃26256start⠮⠂23256continue⠋⠁212561continue⠙⠃⠉19256stop⠊⠇⠀
16256start⠯⠅⠉⠉182561continue⠓20256continue⠚23256stop⠸⠋252561start⠷⠇27256continue⠚30256continue⠐⠋27256stop⠸⠚252561start⠷⠇23256continue⠋⠁20256continue⠘⠚⠃⠉182561stop⠓⠇⠀
12256start⠈⠮⠅⠉⠉142561continue⠙16256continue⠋19256stop⠊212561start⠽⠇23256continue⠋26256continue⠊23256stop⠋212561start⠽⠇19256continue⠊⠁16256continue⠋⠃142561stop⠙⠇⠉⠀⠼⠂⠄12512⠦⠈⠊⠅512⠭1024⠧1024⠧⠣⠆⠀
⠼⠆⠄12512⠦⠈⠊⠅512⠭1024⠧1024⠧⠣⠅⠄
⠀⠀⠼⠒⠀⠨⠜⠀⠣⠶⠄⠜⠏36102434⠨⠱⠇⠬⠁41102436⠦⠨⠺⠅⠉⠴⠁41102436⠦⠺⠉⠴⠀41204836⠞⠴36102434⠨⠱⠂⠉⠬⠃
351024133⠹⠇⠬⠁401024351⠦⠨⠪⠅⠉⠴⠃401024351⠦⠪⠉⠴⠀402048351⠎⠴371024351⠫⠂⠉⠬⠃
⠀⠀⠸⠜⠀⠣⠶16256start⠘⠯⠅⠉⠉182561continue⠓⠇20256continue⠚⠃23256stop⠸⠋⠁⠐
252561start⠷⠃27256continue⠚⠁23256continue⠋⠇252561stop⠓⠃20256start⠘⠾⠅23256continue⠸⠋⠁182561continue⠘⠓⠇⠉20256stop⠚⠃⠀16256start182561continue20256continue23256stop252561start27256continue23256continue252561stop20256start23256continue182561continue20256stop⠶⠀
16256start⠯⠅⠉⠉19256continue⠊⠇212561continue⠙⠃23256stop⠋⠁26256start⠮⠇282561continue⠙⠃23256continue⠸⠋⠅26256stop⠊⠁212561start⠸⠽⠂23256continue⠋⠁19256continue⠘⠊⠇⠉212561stop⠙⠃⠀16256start19256continue212561continue23256stop26256start282561continue23256continue26256stop212561start23256continue19256continue212561stop⠶
⠀⠀⠼⠲⠀⠨⠜⠀36204834⠨⠕⠬36102434⠱⠂⠉⠬⠃⠀352048133⠝⠬351024133⠹⠂⠉⠬⠁⠀343072321⠞⠄⠇⠬⠃⠀
512⠭⠜⠙32512130⠐⠓⠇⠉⠬⠁31512129⠛⠂⠬⠇34512321⠦⠚⠅⠬⠇35512133⠦⠙⠇⠬⠁3651234⠦⠑⠂⠬⠃
⠀⠀⠸⠜⠀16256start⠘⠯⠅⠉⠉182561continue⠓⠇20256continue⠚⠃23256stop⠸⠋⠁252561start⠷⠇23256continue⠋⠅27256continue⠚⠃252561stop⠓⠇30256start⠐⠯⠁27256continue⠸⠚⠅322561continue⠐⠓⠃30256stop⠋⠇⠀
33256start⠮⠁30256continue⠋⠃282561continue⠙⠇26256stop⠊⠁23256start⠯⠃26256continue⠊⠁212561continue⠸⠙⠇23256stop⠋⠃19256start⠘⠮⠅23256continue⠸⠋⠁212561continue⠙⠃19256stop⠊⠇⠀
16256start⠠⠉⠉⠯⠅182561continue⠓20256continue⠚23256stop⠸⠋252561start⠷⠇27256continue⠚30256continue⠐⠋27256stop⠸⠚252561start⠷23256continue⠋⠁20256continue⠘⠚182561stop⠓⠉⠀16512⠦⠋⠅512⠭1024⠧1024⠧
⠀⠀⠼⠢⠀⠨⠜⠀⠜⠍⠋372048351⠨⠏⠅⠉⠬⠇351024133⠹⠇⠉⠬⠁⠀352048133⠝⠃⠬⠁401024351⠨⠪⠅⠴⠃⠀
⠜⠉⠗⠑⠎⠉⠄40204838133⠨⠎⠅⠉⠬⠇⠤381024136⠻⠂⠉⠬⠃⠀382048136⠟⠇⠬⠁381024136⠻⠂⠉⠬⠁
⠀⠀⠸⠜⠀19256start⠘⠮⠅⠉⠉212561continue⠙⠇23256continue⠋⠃26256stop⠊⠁282561start⠽⠃30256continue⠋⠁26256continue⠸⠊⠇282561stop⠙⠃23256start⠸⠯⠅26256continue⠊⠁212561continue⠸⠙⠂23256stop⠋⠁⠀
19256start⠘⠮⠇212561continue⠙⠃16256continue⠘⠋⠅19256stop⠊⠁142561start⠘⠽⠇16256continue⠋⠃12256continue⠈⠊⠅142561stop⠙⠇16256start⠯⠃19256continue⠊⠁12256continue⠈⠊⠅19256stop⠘⠊⠁⠀
15256start⠠⠉⠉⠵⠅172561continue⠛⠇19256continue⠊⠃172561stop⠛⠇22256start⠸⠵⠁19256continue⠘⠊⠅242561continue⠸⠛⠃22256stop⠑⠇26256start⠮⠁242561continue⠛⠂29256continue⠐⠑⠁26256stop⠸⠊⠅⠀
312561start⠐⠿⠃29256continue⠑⠇33256continue⠊⠁312561stop⠛⠃29256start⠵⠁26256continue⠸⠊⠃242561continue⠛⠇22256stop⠑⠁19256start⠘⠮⠃172561continue⠛⠇15256continue⠑⠅22256stop⠸⠑⠁
⠀⠀⠼⠖⠀⠨⠜⠀⠜⠋372048351⠨⠏⠇⠬⠃42102414037⠰⠹⠂⠉⠬⠴⠀4320484139137⠕⠅⠬⠇⠔⠒4110243736⠺⠅⠉⠔⠃⠴⠁⠀
40307237351⠎⠄⠂⠼⠴⠀⠼⠂⠄512⠭⠜⠙37512351⠨⠋⠂⠉⠉⠬⠃365121341⠩⠑⠇⠩⠬⠁37512351⠋⠂⠬⠃⠐
385121360⠛⠅⠉⠡⠬⠁37512351⠋⠂⠬⠃⠣⠆⠀⠼⠆⠄⠜⠋⠄1024⠧3351230281⠦⠐⠊⠅⠼⠃⠴⠁512⠭1024⠧⠣⠅
⠀⠀⠸⠜⠀16256start⠠⠉⠉⠘⠯⠅19256continue⠊⠇212561continue⠙23256stop⠋26256start⠮⠇282561continue⠙30256continue⠋282561stop⠙26256start⠮⠇23256continue⠋⠁212561continue⠙19256stop⠊⠀
16256start⠯⠅182561continue⠓20256continue⠚23256stop⠸⠋252561start⠷⠇27256continue⠚30256continue⠐⠋27256stop⠸⠚252561start⠷⠇23256continue⠋⠁20256continue⠘⠚⠃⠉182561stop⠓⠇⠀
12256start⠈⠮⠅⠉⠉142561continue⠙16256continue⠋19256stop⠊212561start⠽⠇23256continue⠋26256continue⠊23256stop⠋212561start⠽⠇19256continue⠊⠁16256continue⠋142561stop⠙⠀⠼⠂⠄12512⠦⠈⠊⠅512⠭1024⠧1024⠧⠣⠆⠀
⠼⠆⠄12512⠦⠈⠊⠅512⠭195122326⠦⠘⠊⠔⠤512⠭1024⠧⠣⠅⠀⠐⠒
⠀