⠨⠜⠜⠌⠇⠸⠜⠜⠼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠇⠑⠕⠝⠁⠗⠙⠀⠨⠃⠑⠗⠝⠎⠞⠑⠊⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠨⠞⠓⠊⠗⠞⠑⠑⠝⠀⠨⠁⠝⠝⠊⠧⠑⠗⠎⠁⠗⠊⠑⠎⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠋⠕⠗⠀⠞⠓⠑⠀⠨⠏⠊⠁⠝⠕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠨⠑⠙⠊⠞⠊⠕⠝⠀⠨⠇⠑⠕⠝⠁⠗⠙⠀⠨⠃⠑⠗⠝⠎⠞⠑⠊⠝⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠼⠉⠲⠀⠨⠋⠕⠗⠀⠨⠎⠞⠑⠏⠓⠑⠝⠀⠨⠎⠕⠝⠙⠓⠑⠊⠍
⠀⠀⠀⠀⠀⠀⠀⠀⠶⠨⠃⠄⠀⠨⠍⠁⠗⠉⠓⠀⠼⠃⠃⠀⠼⠁⠊⠉⠚⠶
⠀⠀⠀⠀⠀⠀⠀⠀⠁⠝⠙⠁⠝⠞⠊⠝⠕⠀⠢⠹⠶⠼⠊⠋⠔⠀⠩⠼⠉⠲⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠼⠂⠀⠨⠜⠀512⠭⠀512⠭29512⠐⠑⠉⠉34512⠐⠚36512⠑34512-1⠣⠚29512⠐⠑⠉⠈⠉⠀331024⠪32512⠓⠉29512⠑⠉301024⠫⠉⠐
⠣⠜291536⠐⠱⠄291536⠱⠄⠈⠉⠀313072029⠡⠟⠄⠬⠀512⠭29512⠑⠉⠉34512⠐⠚36512⠑34512-1⠣⠚29512⠐⠑
⠀⠀⠸⠜⠀⠜⠏22512⠸⠑⠉⠈⠉⠀222048⠕285121⠩⠐⠙22512⠸⠑⠈⠉⠣⠜27512⠸⠚⠉29512⠑⠉⠈⠉291024⠱2810241⠩⠹⠉⠉⠀
291024⠱27512⠸⠚22512⠸⠑⠈⠉221024⠱⠈⠉⠣⠜2810240⠡⠐⠹271024⠺271024-1⠣⠺⠈⠉⠀292048⠕512⠭⠜⠍⠋22512⠸⠑⠉⠈⠉⠣⠜271024-1⠸⠺⠉262048⠎⠀
222048⠕⠜⠙⠊⠍⠄285121⠩⠐⠙22512⠸⠑⠈⠉⠣⠜275120⠸⠡⠸⠚⠉29512⠑⠉⠈⠉291024⠱2810241⠩⠹⠉⠉
⠀⠀⠼⠆⠀⠨⠜⠀30512⠐⠋33512⠊32512⠓29512⠑⠈⠉311024029⠡⠻⠉⠬⠈⠉⠀⠜⠙30307229⠐⠏⠄⠌⠀
512⠭⠜⠍⠏⠜⠇⠑⠛⠁⠞⠕28512⠐⠙⠉⠉315120⠡⠛35512⠨⠙34768⠚⠄32256⠷⠉⠀3351232⠊⠌28512⠐⠙⠉⠉315120⠡⠛36512⠨⠑34768⠚⠄32256⠷
⠀⠀⠸⠜⠀221024⠸⠱27512⠸⠚22512⠸⠑⠉⠈⠉221024⠱⠉⠈⠉⠣⠜2810240⠡⠐⠹271024⠺271024-1⠣⠺⠉⠈⠉⠀291536⠱⠄⠉281536⠹⠄⠐
⠣⠜273072-1⠸⠞⠄⠀172048019⠡⠘⠟⠉⠬18102420⠳⠉⠬⠀19204821⠎⠉⠬20102422⠺⠬
⠀⠀⠼⠒⠀⠨⠜⠀33512⠐⠊37512⠨⠋⠉⠈⠉372048⠏⠀512⠭⠜⠉⠗⠄30512⠐⠋⠉⠉33512⠊37512⠨⠋367681⠩⠑⠄34256⠾⠉⠀
3510241⠩⠹⠢⠜⠍⠋385121⠸⠩⠨⠛⠉⠉3610241⠩⠱34512⠚⠀⠜⠙⠜⠍⠕⠇⠞⠕⠄3515361⠩⠨⠹⠄⠉3915361⠩⠳⠄⠀
⠀⠀⠀⠤⠼⠉⠤⠼⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠋
⠜⠍⠑⠝⠕⠀⠍⠕⠎⠎⠕⠢⠜⠟⠥⠁⠎⠊⠀⠇⠑⠝⠞⠕⠜⠏385121⠨⠛⠉⠉355121⠩⠙34768⠚⠄30256⠯⠉3110241⠻
⠀⠀⠸⠜⠀211536123⠩⠸⠹⠄⠬⠉201536221⠺⠄⠩⠬⠀192048211⠎⠩⠬⠉⠉201024221⠺⠩⠬⠀211536123⠩⠹⠄⠬2215361241⠩⠱⠄⠬⠉⠀
2330721251⠩⠏⠄⠩⠬⠀2410241261⠻⠩⠬⠉251024127⠩⠳⠬⠉2610241281⠩⠪⠩⠬
⠀⠀⠼⠲⠀⠨⠜⠀385121⠸⠦⠸⠦⠨⠛⠉⠉355121⠩⠙34512⠚30512⠋⠉3110241⠸⠦⠻⠀1024⠧⠜⠞⠑⠝⠙⠑⠗⠇⠽⠄⠐
385120⠡⠨⠛⠉⠉34512-1⠣⠐⠚37768-1⠣⠨⠋⠄362560⠸⠡⠵⠉⠀341024-154⠣⠺⠠⠌385120⠡⠨⠛⠉⠉34512-1⠣⠐⠚37768-1⠣⠨⠋⠄36256⠵⠀
34512-1310⠣⠚⠡⠼3551232⠙⠼⠨⠉35153632⠹⠄⠼33512311⠊⠩⠬⠉⠨⠉
⠀⠀⠸⠜⠀⠜⠉2410241261⠸⠻⠩⠬⠉251024127⠩⠳⠬⠉⠜⠍⠋⠄2610241281⠩⠸⠪⠩⠬⠀⠜⠏⠏⠜⠎⠥⠃⠄⠐
2420480290⠡⠸⠟⠡⠴⠉251024030-1⠡⠳⠣⠴⠀242048029⠡⠟⠴⠉25102430-1⠳⠣⠴⠀2430720⠡⠟⠄⠈⠉⠣⠜29512⠐⠑305120⠡⠋⠈⠉301536⠫⠄29512⠑⠈⠉
⠀⠀⠼⠢⠀⠨⠜⠀333072311⠐⠎⠄⠸⠩⠬⠀⠜⠞⠑⠍⠏⠕⠀⠏⠗⠊⠍⠕⠄⠐
512⠭36512⠨⠑⠉⠉41512⠨⠚43512⠑41512-1⠣⠚36512⠨⠑⠉⠈⠉⠀401024⠪39512⠓⠉36512⠑⠉371024⠫⠉⠣⠜361536⠨⠱⠄361536⠱⠄⠈⠉⠀383072036⠡⠟⠄⠬⠀
⠜⠎⠞⠑⠝⠞⠁⠞⠕⠜⠟⠥⠁⠎⠊⠜⠋⠜⠎⠥⠃⠄512⠭315120⠡⠐⠛⠉⠉36512⠨⠑385120⠡⠛⠜⠋⠐
36512-1⠸⠦⠣⠨⠑⠉31512⠐⠛
⠀⠀⠸⠜⠀242048029⠸⠡⠸⠟⠴512⠭⠜⠏⠏22512⠸⠑⠉⠈⠉⠀222048⠕285121⠩⠐⠙22512⠸⠑⠈⠉⠐
⠣⠜27512⠸⠚⠉29512⠑⠉⠈⠉291024⠱2810241⠩⠹⠉⠉⠀291024⠱27512⠸⠚22512⠸⠑⠈⠉221024⠱⠈⠉⠣⠜2810240⠡⠐⠹271024⠺271024-1⠣⠺⠉⠈⠉⠀
29192⠕⠄512⠭175120⠸⠦⠡⠘⠛⠉⠈⠉⠣⠜271024-1⠸⠺⠉262048⠎⠀2420481⠟2410240⠸⠦⠡⠻⠈⠉⠣⠜22512⠸⠑⠉245120⠡⠛⠉⠈⠉241024⠻⠐
2310240⠸⠡⠫⠉⠉
⠀⠀⠼⠖⠀⠨⠜⠀⠜⠗⠊⠞⠄⠜⠙32512⠐⠓⠉⠉35512⠨⠙34512-1⠣⠚315120⠡⠛⠜⠏⠄331024-1⠣⠐⠪⠉⠈⠉⠀
33512-153⠊⠠⠌⠜⠁⠀⠞⠑⠍⠏⠕⠜⠏⠏⠄335120310⠡⠐⠊⠡⠬⠨⠉33204831⠎⠬⠨⠉⠀335123153⠊⠬⠠⠌36512310⠨⠑⠡⠴⠨⠉⠐
36204831⠕⠴⠨⠉⠀365123149⠑⠴⠠⠌⠜⠗⠁⠇⠇⠄38512136⠩⠨⠛⠬⠨⠉382048136⠟⠬⠨⠉⠀
3851213651⠛⠬⠠⠌⠜⠏⠏⠏45512140⠰⠛⠴⠨⠉452048140⠟⠴⠣⠇⠣⠅
⠀⠀⠸⠜⠀1730720⠸⠡⠘⠟⠄⠈⠉⠣⠜231024-1⠣⠸⠫221024⠱221024-1⠣⠱⠉⠈⠉⠀2451212953⠛⠴⠠⠌28512⠐⠙⠈⠉282048⠝⠈⠉⠀
2851250⠙⠠⠌27512-1⠣⠚⠈⠉272048-1⠞⠈⠉⠀27512-149⠚⠠⠌19512⠘⠊⠈⠉192048⠎⠈⠉⠀1951255⠊⠠⠌8512⠈⠑⠈⠉82048⠕⠣⠇⠣⠅⠀
⠀⠀⠀⠀⠀⠼⠃⠚⠀⠨⠍⠁⠗⠉⠓⠀⠼⠁⠊⠋⠑⠀⠐⠒⠀