• 1/26/25 6:16 pm
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Update #1 : by Bubblez705 01/26/2025 8:13:56 pmJanuary 27, 2025 @ 1:13 am UTC
Added hoodie strings. (I knew something was missing 😭😭)
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠄⠠⠁⠠⠀⠐⠡⡍⠤⠓⡌⡔⠣⢼⣻⡼⣳⢽⣎⣯⢳⣿⣿⣿⣿⣿⣿⣿⣿⢣⢿⡱⣟⢮⣻⠼⣇⠱⠨⡅⢎⡑⠦⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠂⠀⠐⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠐⠀⠀⠂⠀⠄⡀⠂⠄⠐⠠⠀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠄⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⠂⠄⠐⡀⠐⠠⠁⠌⡐⠠⠁⢂⠈⠀⠌⠠
⠀⠀⡀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠄⠀⠄⠀⠐⠀⠁⠀⠀⠀⠀⠐⠀⠠⠀⠀⠄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠠⠀⠄⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢩⢯⡽⣭⢫⣍⠻⠿⠟⠋⠓⠛⠊⠃⠙⠋⠀⠃⠓⠈⠒⠘⠂⠃⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠐⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠂⠀⡀⠐⡀⠐⡈⢀⠂⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠠⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠀⠄⡈⠄⠐⡈⠡⢈⠐⢀⠃⡘⢀⠠⢁⠈⡐
⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠄⠀⠠⠀⠀⠂⠀⠠⠀⢀⠀⠁⠀⠠⠀⠀⠂⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠄⠂⢁⠈⠄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠀⠀⠄⠀⠡⢈⠠⠁⠠⠈⡀⢰⡻⣼⢳⣏⠾⡽⡆⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠐⠀⠀⡑⠈⡄⢊⠡⠘⠠⠁⠀⠀⠄⠀⠠⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⡀⠠⠀⠂⠀⠄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠐⠀⠂⠠⠐⠠⢀⠁⢂⠀⠂⠐⢀⠠⠀⠂⢠⠀
⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠠⠀⠀⠂⠀⠐⠀⢀⠀⠀⠐⠈⠀⠀⠐⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠐⠈⢀⠀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⠀⠂⠀⠀⠡⠀⠄⡈⠄⠁⠀⡶⣝⡧⣟⡼⣻⠵⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠁⠀⠈⠀⡀⢀⠌⡐⡀⠂⠄⢃⠡⠂⠀⠠⠀⠂⠀⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠁⠀⠀⠈⠀⠀⢀⠀⠄⠀⠠⠀⠀⠠⠐⠀⠠⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠂⢁⠂⠄⠀⠀⠀⠀⠀⠀⠀⠐⠠⠈⡀⢀⠂⢁⠀⠂⠄⡈⠄⠂
⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠠⠀⠀⠐⠀⠈⠀⡀⠀⠀⠄⠀⠠⠀⠁⠀⠄⠂⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠄⠂⢈⠀⡐⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠠⠀⠌⠐⠀⠂⠀⠀⠀⠀⠿⠱⠻⠜⠳⠭⡟⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠈⠀⡀⠀⠰⢀⠂⠔⠡⢈⠄⠒⠀⠀⡀⠄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠂⠁⠀⡀⠁⠀⠀⡀⠐⠀⠀⠐⠀⠀⡀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠐⠈⠐⡀⠄⠂⠀⠀⠀⠀⠀⠀⠀⡁⠂⠁⡀⠠⠀⠂⢈⠀⠠⠐⡈⢁
⠀⠀⠠⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠂⠀⠄⠈⠀⠀⠀⢀⠀⠀⠂⠀⡀⠀⠀⠐⠀⠀⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡐⠈⠀⠠⠐⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠠⠐⠀⠀⠂⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠨⠐⡈⠤⢁⠂⠌⠂⠀⢀⠀⠀⡀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠠⠀⠐⠀⠀⠀⠂⠁⠀⢀⠀⠈⠀⠠⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠠⠁⢂⠠⠀⠀⠀⠀⠀⠀⠀⠀⢐⠠⠁⡐⠀⡁⠠⠁⢂⠀⠀⠂⢁⠂
⠀⠀⡁⠄⠀⠀⠄⠂⠀⠐⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⢀⠀⡀⠐⠤⠐⡠⠁⠆⠰⡀⠂⠀⠀⠀⠀⠀⠀⠀⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠄⠂⠈⠀⠀⠄⠂⠀⢀⠀⠁⠀⡀⠈⠀⡀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠠⠐⠀⠂⠄⠠⠁⠀⠀⠀⠀⠀⠀⠀⢎⠐⠠⠄⠡⢀⠡⢈⠄⠂⠀⠌⡀⢂
⠀⠐⢀⠐⠀⠠⠀⠀⠐⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠠⠐⠀⠄⠀⡈⠤⠁⠄⠡⠘⠠⠄⠀⠀⠀⠐⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠂⠀⠀⠀⠄⠂⠁⠀⠀⠄⠀⠀⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠀⠐⠀⠀⠀⠀⠀⠀⠀⠨⢄⠂⠡⢈⠐⡀⠆⢠⠈⠄⡁⢂⠐⠀
⠀⠡⠀⡈⠀⠀⡀⠈⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠁⡐⠀⠡⠀⠀⡁⢂⠡⠈⠄⢃⡐⠂⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢀⠰⢈⡐⠌⡐⢁⠂⠀⠀⠀⢀⠀⠀⠄⢓⠠⢈⠐⡀⠆⠀⠠⠀⢈⠐⠠⠀⢌⠂
⠀⠂⢁⠀⠀⠄⠀⠀⠂⠁⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⠀⠀⠁⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠠⠀⠌⢀⠀⠀⡐⢂⠡⠘⡀⠂⠄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠈⠀⠀⢀⠢⠄⡐⠐⡈⠄⠀⠀⠀⠀⡀⠀⠀⢌⠂⡐⠂⠌⡀⠄⢈⠀⡐⢀⠂⢀⠁⢎⡘
⠀⠡⠀⠂⠀⠠⠀⠁⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠂⢈⠀⡀⠀⠔⠂⠄⢃⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⡀⠀⠀⠂⡔⠐⡈⠰⠐⠀⠀⠀⠀⢀⠀⠀⢀⠊⠔⠠⢁⠂⠄⡐⠀⡐⠀⠂⠠⢈⡘⠔⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠀⡀⠄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⢁⡀⢂⠠⢀⠀⣌⠠⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠄⠃⠄⡡⠐⠡⠘⠀⠀⠀⠠⠀⠀⠀⢌⠒⡈⠐⠠⢈⠀⠄⡐⠠⠈⠀⡐⢂⠔⠀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⢀⠀⠀⠀⠠⠀⠂⠄⠐⠀⠂⠀⠀⠀⠀⠄⠀⠀⠀⠠⠌⠠⠐⠠⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠌⠐⠀⠁⠈⠀⠀⠀⠀⠀⠠⠀⠐⡌⠐⠠⢁⠂⢄⡉⢂⠠⠁⡀⠂⢄⠣⠈⢀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⡀⠀⠀⠀⠂⠁⠄⠂⠈⠄⠁⠀⠀⠀⠂⠀⠠⠀⠀⠐⠈⠄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⡰⣉⢚⠰⢃⡚⡘⠀⠀⠀⢂⠁⠄⠠⠘⠤⢁⠢⠄⠌⢠⠘⠠⠐⢀⠀⠌⢠⠃⢈⠀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠡⠈⠠⢀⠡⠐⠀⠀⠀⠠⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣁⠒⠌⢢⠑⠤⠃⠀⠀⠐⠠⠀⠌⠀⠋⠀⠂⠄⠂⢌⠂⡌⠐⠀⠂⠠⠘⠤⠁⠂⡀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠈⠀⠀⠀⠈⠄⠂⢁⠠⠀⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠲⢄⠩⠄⡁⢎⠂⠁⠀⠀⠌⠀⠌⠀⠌⡠⢁⠂⠠⢀⠂⡐⠀⠡⠐⠀⠠⢁⠆⠁⢂⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠁⠀⠀⠀⢀⡐⡈⢀⡀⢀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠎⡘⠴⠡⢌⠂⠀⠀⢈⠠⠈⠠⢈⠐⡀⠆⠠⠁⠄⠂⠄⠁⡀⠀⠀⡁⠢⢈⠐⠀⠀⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠂⠀⠐⠀⠀⠂⠁⠀⠀⠈⠀⠐⠀⠀⠐⢢⠍⠂⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⢌⡑⢊⡕⠊⠀⠀⢀⠂⠠⠈⠄⠀⠃⠐⠈⠄⠡⠈⠄⠐⡐⠠⠁⠂⠄⢁⠂⠈⠀⠠⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠐⠀⠀⠁⠀⠠⠀⠀⠁⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠄⠊⠄⠡⠀⢂⡑⠠⠁⠌⡐⠠⢈⠀⠂⠐⠠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⡀⠈⠀⠐⠀⠀⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⡐⠀⢂⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠁⢀⠂⠄⠀⡁⠦⠐⠠⢉⠐⡠⠁⡀⠀⠠⢁⢢
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⡀⠀⠀⠂⠀⠀⠁⠀⠠⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠐⠈⡀⠀⠀⠀⠈⠀⡀⠀⠀⠀⠀⠀⠂⠈⠀⡐⠰⣈⠁⠂⢄⠈⡔⢁⠐⠈⣀⠣⢎
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠠⠀⠄⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⡀⠀⠀⠀⠀⠂⠁⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⡐⠠⢈⡁⠂⡌⡐⢀⠂⠐⡠⡙⠄
⠀⠀⠀⠀⡀⠁⠀⠈⠀⠐⠀⠌⠀⠌⢀⠂⠄⠀⠀⢈⠥⢋⠜⡡⢍⠀⠠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⡀⠂⠀⠄⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠀⢁⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠡⠑⠠⡀⢁⠒⡀⢂⠀⡘⢤⡙⠄
⠀⠀⠀⠀⢀⠀⠈⠀⠐⠀⠀⠂⢁⠐⠠⠀⠂⠀⠀⡌⢢⠉⢆⡱⢊⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⢀⠀⠄⠀⠄⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⢀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠀⠂⠁⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠁⠀⠂⠄⠃⠄⠡⢈⠆⡐⠀⡐⢈⠖⢌⡐
⠀⠀⠀⠀⡀⠀⠐⠈⠀⢀⠠⠁⠂⢀⠂⠁⠄⠀⠀⡜⢠⡘⡐⢆⡁⠀⢼⡂⠀⠀⠀⠀⡀⠀⡀⠀⡀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠈⠀⢀⠀⠄⠀⠈⢀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠐⠈⠀⠀⠄⠐⠈⠀⡀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡔⠈⠌⡐⠈⢆⠐⡀⠂⠈⠈⠁⠀⡀
⠀⠀⠀⠀⢀⠀⠂⠀⠄⠀⠀⠂⢁⠀⠂⢁⠀⠀⠀⢬⡁⠖⡉⢆⡀⠐⣫⠄⠀⠀⠀⠀⠀⠄⠀⢀⠀⠄⠀⠈⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡀⠀⠄⠀⠀⠀⠀⠐⠀⠁⠀⡀⠀⠈⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠈⠀⡀⠐⠈⢀⠠⠀⠂⢀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡔⠠⢁⠒⡈⠜⡀⠆⠄⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠁⠈⠀⠈⠀⠂⠀⠀⠀⠀⠈⠈⠑⠂⠀⠈⠵⢂⠀⠀⠀⠀⠂⠀⠐⠀⢀⠀⠈⠀⠄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡀⠁⠀⠁⠀⡀⠀⠄⠀⠂⠀⠀⠀⠂⠈⠀⠄⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⢀⠀⠄⢂⠡⢀⠃⠀⠀⠀⡁⠀⠄⠂⠀⡀⠄⠐⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠈⠀⠐⡠⢁⠂⡐⢠⠊⡐⠈⡄⠀⠀⠀⠀⠀⠀
⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⠀⠀⠀⠀⠀⠁⡀⠈⠀⠀⠂⠁⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠁⡀⠁⠀⠠⠀⠂⢀⠐⠀⠀⡈⠐⠠⠐⢀⠂⡐⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⢀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠠⢁⠂⠌⡐⠀⠆⠂⠄⠀⠀⠀⠄⠠⠀⡀⠁⢀⠠⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠐⠀⠁⠂⢂⠑⠠⢃⠀⠀⠀⠀⠀⠀⠀
⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⠐⠈⠀⢀⠂⠀⠄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠈⠀⠀⠄⠂⠀⡀⠄⠀⠠⠀⠀⠠⠁⠂⠌⢀⠐⠠⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠄⠂⢀⠁⢀⠐⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢈⡐⢈⠁⠂⠌⡐⠠⠉⠄⡁⠂⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⡀⢄⠒⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠄⠈⠀⠀⠄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠐⠈⠀⡀⠄⠀⢀⠀⠐⠀⡀⠀⠄⠡⢈⠀⠂⡀⠂⢁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⢀⠠⠀⠀⠂⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠀⡁⢂⠐⠠⡈⠄⠡⡀⠡⠌⡐⠠⠁⠀⠀⠀⠁⠀⠠⠄⡄⠀⢠⠐⢢⠁⢎⠰⠀⠀⠀⠀⡀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠄⡠⠠⢀⠀⡀⢀⠂⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠂⠀⠄⠀⢀⠈⠀⠀⠂⢀⠀⠀⠈⠄⡀⠂⢁⠠⠈⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠠⠀⡀⠀⠁⠠⠀⠠⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠁⠀⡀⠀⠀⠂⠌⠡⠐⡈⠐⠠⢁⠂⠄⡁⠂⠀⠀⢀⠠⢌⠱⡈⠤⠑⢢⢉⠂⡍⢄⠣⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠈⠀⠀⠀⠄⠀⠈⠐⠠⢁⠂⡐⢀⠂⠌⡐⠠⠁⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢀⠀⠠⠀⠀⠀⠁⠀⡀⠀⠂⠀⢂⠠⠁⠂⡀⠂⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠐⠀⡀⠁⠄⠂⠁⡀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⢈⠀⢀⠀⠀⠡⡈⠄⠡⣀⠉⡐⠠⠈⠐⠀⠀⠀⠀⢄⠣⠌⣂⠑⢢⠐⡡⠊⡔⡈⠆⡱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢣⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠐⠀⠁⠀⡀⠀⠀⠁⠂⠄⢂⠐⠠⢈⠐⠠⠁⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠠⠈⠄⡈⠐⡀⠂⠔⡀⠂⠄⠀⠀⠀⠂⠀⠄⠁⠐⠈⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠐⠀⡀⠂⢀⠂⠁⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠠⠀⠀⠀⠡⠐⠈⠁⠀⠀⠀⠁⢀⡀⣤⢒⡀⠀⠈⢆⠱⢠⠉⠆⡱⢀⠣⠐⡁⢎⠰⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠠⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠐⠀⠀⠀⠀⢈⠐⡈⠄⡈⠐⠠⠈⠄⠡⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠁⠌⡐⠠⠁⠄⡁⠂⠄⠡⠈⠄⡁⢂⡙⠬⢌⠣⠄⢆⡡⠆⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠠⠀⠀⠐⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢀⠀⠀⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⠀⠐⠀⠀⠀⠀⡀⡄⠀⠀⢠⠔⢦⡙⣤⠣⠆⠀⠈⢆⡑⠢⡁⠎⠤⡁⠎⡡⠘⡄⢣⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠂⠀⡀⠈⠀⠀⠂⠀⠀⢂⠐⡀⠂⠄⡁⢂⠡⢈⠐⡀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢁⠂⠄⠡⢈⠐⠠⠁⠌⠠⢁⠂⠄⠀⡘⠴⡈⢆⡉⠆⡔⢡⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢁⠢⠑⡈⠄⠃⢌⠂⡡⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠂⠀⠁⡀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠁⠀⠀⡠⠖⡱⠙⢠⠀⢰⡃⡞⣡⠞⡤⢋⠀⠀⠈⠤⣈⠱⢈⠜⢠⠑⡌⠰⠡⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠄⠁⠀⡀⠀⠂⡐⠠⢁⠂⡐⢀⠂⠄⢂⠐⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠠⠈⠄⡁⠂⠌⠠⠁⠌⡐⠠⢈⠐⠀⠘⠤⡑⢢⠘⡰⢈⢆⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢁⠂⠅⡈⠔⡉⠄⢂⡁⠂⡄⠀⠀⠀⢀⠀⠀⡀⠀⠠⠀⠀⠀⠀⠀⠀⠀⢀⠐⠀⠁⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⡐⢡⠒⢌⠰⢉⠢⠁⠸⠴⡙⡤⢋⡴⣉⠞⠀⠀⠐⠀⠠⣌⠲⡇⠈⠄⠁⢀⡠⢦⡹⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠢⢔⠢⢒⠤⠢⡄⠀⠀⠀⠀⠀⢀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠂⠐⠀⠂⢈⠐⠠⢈⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠄⡁⠂⠄⠡⠈⠄⡁⠂⠄⡁⠂⠌⡐⠀⢆⡑⢢⠑⠤⢃⠆⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⢉⡐⠠⠒⡀⠎⢠⠐⠡⠀⠀⠀⠀⠀⡀⠀⢀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠂⢀⠀⠠⠈⠀⠀⠀⠀⠀⠀⠀⠠⠘⡄⢣⠘⡄⠣⢌⠢⡁⠎⠁⢸⠱⣉⠶⣉⠖⣡⠊⠀⠀⢦⡚⡽⣌⠳⣍⡳⣌⢏⢧⡙⣦⢓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠁⢀⠈⠀⠄⢘⠱⣈⠒⡉⢆⠓⡄⠀⠀⠀⠀⠀⠠⠐⡈⠄⠡⢈⠂⠡⠌⠀⠀⡴⢤⢢⠤⡤⢄⡀⣀⢀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠠⠁⠌⠠⢁⠂⠄⡁⠂⠄⡁⢂⠐⠀⠆⡜⡠⢉⠆⠥⢊⠔⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢌⠠⠄⡁⠆⠡⡈⠤⢈⡁⠆⠀⠀⠀⠁⠀⢀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⢀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡑⢌⠂⡅⢂⡑⠢⢡⠘⡰⠀⠈⠧⣍⢲⣉⠮⡑⠀⠀⠠⣳⡙⢶⢡⢋⠶⡱⢎⢞⡢⡝⢦⣋⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠈⠀⠀⢀⠠⠀⢈⠖⡡⢊⠜⡨⠜⡀⠀⠀⠀⠀⠀⠠⢁⡐⠈⠄⠡⢈⠐⡈⠀⠀⠳⡌⡖⢣⢚⠦⣱⢊⠦⡓⡬⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⣄⠠⣀⢁⡀⢄⡀⠀⠁⠂⠀⠀⡀⠀⣍⠰⣁⠎⡘⡰⢉⢒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠄⠒⡠⠐⣈⠡⠐⡠⢁⠰⢈⠀⠀⠀⠀⠂⠀⠀⡀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢀⠰⣈⠀⠀⠀⠀⠰⣈⠒⢌⠂⡌⡑⠢⡑⢄⢃⠀⠸⡰⠣⠜⠐⠀⠀⠀⠀⢡⡛⡬⢆⡭⢲⡙⣎⠖⡱⣍⠶⣡⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠐⠀⠁⠀⠀⠀⢨⠒⡡⢎⠰⡑⠬⠄⠀⠀⠀⠀⠀⠐⠠⡀⠡⢈⠐⠠⢁⡐⠀⠀⡛⡴⣉⠧⡩⢖⡡⢎⡱⡱⢱⢃⠀⠀⠀⠀⠀⠁⠀⠀⠂⠀⠀⢀⠳⣌⠳⡌⣎⠼⣡⡙⢦⢓⡒⣎⠠⠁⠆⢠⠁⠄⢂⠁⠰⢉⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠡⠄⡑⢀⠢⠁⡔⢈⡐⢂⠀⠀⠀⠠⠐⠀⠁⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⢀⠂⠄⠑⠢⡑⢌⠢⡑⠤⠀⠀⠀⠀⠱⢠⢉⠢⡘⠠⢌⡑⠰⡈⠆⠀⠀⠁⠀⣀⡴⣶⡲⣤⠀⠠⡝⣜⢣⠞⣥⢋⠶⣩⢓⡬⢳⢥⣚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠂⠀⠈⠀⠀⠰⡉⠔⣈⠒⡉⢆⡁⠀⠀⠀⠀⠀⠀⠡⠀⠅⠂⠌⡐⠠⠐⠀⠀⢱⠒⣥⢚⡱⢊⠴⣉⢖⡩⣃⠎⠀⠀⠀⠀⠂⠀⠀⠄⠀⠀⠀⠀⠳⣌⠳⣘⠤⠓⢦⡙⢆⡣⠞⡤⠀⢈⢂⠡⢈⠌⡐⡈⣁⠢⠐⡀⠀⠀⠀⡀⠀⢀⠀⠀⡀⠀⠀⠀⢌⠰⢠⠐⡄⢂⠡⠐⠠⠐⡠⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⢀⠣⡘⠤⡑⢄⠣⠀⠀⠀⠀⡑⠢⢌⠂⡅⢃⠆⠌⠁⠀⠁⠀⣠⢶⣟⣯⣟⢷⡻⢼⠀⠀⡽⣌⢧⡛⡴⣋⠞⣥⢫⡜⣣⠞⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢸⢁⠣⣉⠎⣑⠣⢹⣛⡯⣝⢯⣛⡾⡅⠀⠀⠐⡀⠀⠀⠠⢉⠐⡈⠐⠠⠁⡌⠄⠀⢈⡹⢤⠓⣬⢃⠞⣡⢎⢲⠡⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠘⡤⢛⠤⣋⡙⢦⡉⢦⠱⡍⡆⠀⠀⠆⠨⠄⠒⠠⢐⢀⠂⠅⡀⠀⠀⠀⢀⠠⠀⠀⠄⠀⠀⠀⠀⠢⡁⢆⠡⡘⠄⣃⠉⢆⠱⡐⡀⠀⠀⠁⡈⢀⠁⠀⠄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠆⡑⢢⠘⡄⢃⠆⠀⠀⠀⢈⡅⠶⡼⣀⠈⠀⢀⡠⣔⢲⢂⣿⡻⣞⣳⢞⣯⡟⡽⠀⠀⢷⣘⠦⢉⠡⢀⡻⣔⢣⠞⡡⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢸⡀⠣⠔⡘⠤⢃⣹⢧⡟⣬⠳⣏⠾⠁⠀⠀⠐⡀⠀⠀⠀⠂⠐⠈⠄⢃⠐⠠⢈⠀⢠⢓⡬⣙⠤⣋⠼⣡⠚⣌⡓⢆⠀⠀⠀⠀⠂⠁⠀⠀⠄⠀⠀⠀⠀⡜⢣⠓⡤⡙⢦⡙⢆⢏⠴⣃⠀⠘⡈⢡⠈⢂⠅⠂⡄⢊⠐⠄⠀⠀⠀⠀⠀⡀⠄⠀⡀⠁⠀⠀⢡⠘⡠⠑⡄⢣⠠⡉⠔⢢⠐⡡⠀⠀⠀⠄⠀⡐⠈⢀⠐⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠂⡜⢠⠃⠰⡈⢆⠂⠀⠀⠀⠀⣏⢳⡱⢣⡄⢶⡩⢖⡭⣚⠄⠻⣽⢯⡗⣯⣞⣧⡽⠀⠈⠃⡄⢊⠄⣃⠂⠵⠊⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢀⠦⣁⠓⠬⢌⡑⢢⡼⣳⣝⠲⣯⡝⡧⠀⠀⠀⠐⠀⠄⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⢀⡌⠰⢡⠋⡔⠓⡈⠹⠤⢙⠦⡂⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⡜⣡⠏⡴⡙⢦⡙⡌⢎⠶⣡⠄⠀⡐⠡⢈⠂⠌⢂⠔⡈⠰⢈⠀⠀⠀⠈⠀⠀⠀⢀⠀⠀⠀⠀⠀⢣⠐⡡⢘⠠⢂⠱⢈⢂⠱⡐⠀⠀⠀⠠⠁⠀⠠⠀⢀⠂⠀⠄⠀⠀⠀⠀⠀⠀⠀⠈⡔⠡⢊⡑⠰⡈⠆⠀⠀⠀⠀⡝⢦⡙⡇⠞⣥⠛⣜⠲⣍⠲⠈⣿⢯⡽⢶⣻⢮⣽⠀⠀⠒⡈⠆⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢈⠖⡨⠜⣈⠒⡌⢰⣏⠷⣎⡟⡶⣝⡇⠀⠀⠀⠀⠁⠐⠀⠀⠀⠀⠀⠀⠀⠀⠩⣍⠃⣹⢿⣞⣧⢷⣞⡶⣷⣤⣀⣤⣎⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢀⡜⠦⠙⡴⣉⠦⣱⡘⢬⠲⣡⠎⢀⠠⢁⠂⡈⠀⠈⠐⠠⢁⠂⠀⠀⠀⠀⠂⠁⠀⠀⢀⠈⠀⠀⠀⢂⠱⡀⢣⠘⠄⡃⢌⠂⡅⠒⠀⠀⠀⠐⠀⠁⡀⠄⠀⠠⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⢌⡑⠢⠈⠁⠐⡡⠀⠀⠀⠀⡞⣥⢛⡜⡸⢤⢛⡴⢫⡜⣡⠀⣿⢯⣻⣭⣟⣻⢞⡇⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠤⢸⣦⡵⠶⣦⢳⡴⣦⢏⡟⣼⢚⡽⣎⡷⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⠄⠠⠀⠀⠘⡤⢃⠈⢻⡾⣭⡟⣾⡹⢧⢿⡽⣾⡱⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠓⠦⡙⠆⠛⣤⠋⡔⢃⠎⡜⢡⠒⡤⠰⡐⠦⢌⠀⠀⠀⠀⠠⠐⠀⠈⠀⠀⠀⠀⠀⢈⠆⡑⢄⠊⡔⢁⠊⡔⣈⠱⠀⠀⠀⢈⠀⠁⠀⡀⠈⠀⠄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠁⡀⢤⡛⡥⠀⠀⠀⠀⢞⡴⢋⡴⣙⢮⡑⢮⠱⣎⠥⠀⣿⣛⠶⠙⡾⠌⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢂⠹⣶⣹⢻⡜⣯⢳⡝⣮⢻⡜⣧⢻⣜⣳⢳⡞⣶⢳⡞⣶⣹⠀⠀⠀⠌⢀⠀⠀⠀⢇⢣⠀⢯⢷⣏⣟⢶⣛⢯⣻⣞⢷⡽⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⢢⠱⢌⠣⠄⡍⢢⢉⠒⡌⣡⠚⡄⢣⠑⢎⠢⠆⠀⠀⠀⠀⠀⠀⠀⠂⠈⠀⠀⠀⠢⢘⠠⠊⡔⢈⠆⠱⡀⠆⢒⡀⠀⠀⠀⠄⠁⡐⠀⠠⠁⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⣤⢒⢮⡙⢦⡹⣜⡃⠀⠀⠀⠸⣜⢣⠞⡱⢎⡹⢆⢻⡰⣋⠔⣣⠿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢂⢹⡶⣭⢳⡝⣮⡳⡽⣎⢷⡻⣬⢷⡹⣎⡷⣻⡜⣧⠿⣜⣳⠀⠀⠀⡈⠀⠄⠀⠀⠘⠦⠀⢾⣛⡾⡽⢮⡽⣎⡷⢯⣟⡾⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠦⡑⡌⠢⢍⡰⢡⠊⡔⠒⣄⠣⡘⠤⣉⠆⡓⠬⡑⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠣⢌⠡⡔⢨⡐⠡⢄⡉⠢⠄⠀⠀⠀⠂⢀⠀⠐⠀⠐⠀⠠⠀⠀⠀⠀⡐⠀⠀⠀⣮⡙⢦⡙⢶⡱⢎⡅⠀⠀⠀⠸⢌⠓⠀⠈⣧⡙⣎⠶⡱⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢂⢺⣵⢫⣗⡻⣖⣻⢵⣫⢷⡹⣎⢷⡹⣞⣵⢳⣻⡜⣯⢽⠚⠀⠀⠀⠄⢁⠐⠀⠀⠈⠑⠀⣿⠾⣽⡽⣣⢟⡼⣹⢷⣫⢷⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⠜⡰⢉⠆⠦⡑⣊⠴⡉⢤⢃⡱⢊⠔⡸⢈⡕⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠒⡌⠱⡈⢆⠬⡑⢢⠘⡡⠎⠀⠀⢂⠁⢂⠐⡀⠂⢄⠈⠄⠀⠀⠀⠄⠀⡐⠀⠀⢲⡙⢦⡙⢦⡙⣎⠆⠀⠀⠀⠀⢆⡘⠄⠠⢧⡙⠂⠁⠁⢀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠈⠜⠺⠙⠎⠳⠛⠜⠣⣛⢮⢷⡹⣎⢿⡜⠚⠙⠂⠉⠙⠊⠁⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠚⣿⣳⣻⡽⢯⣝⡧⣿⣹⢯⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⢉⠆⣃⠎⡑⢆⡡⠆⣍⠢⢆⠱⢌⡊⡔⠣⢌⡱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⢌⠱⡈⠆⢆⡱⢈⡱⢐⡡⠀⠈⠄⡈⠄⠂⠄⡁⠂⠌⡐⠀⠀⠀⠂⠀⠄⠀⠀⠰⣙⢦⡙⢦⡝⣬⠃⠀⠀⠀⠈⢆⡘⠤⣉⠂⠤⡐⠰⡈⢆⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣄⣀⣠⣀⣄⣀⣄⣀⣀⣄⣀
⠀⠀⠄⠂⠠⠀⠄⡀⠐⣯⣛⣮⠳⣝⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⠟⣟⡾⣽⡳⠟⠎⠈⠀⠀⠠⢁⠂⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⣀⣀⣀⣀⣀⣀⠀⠁⠀⠁⠈⠈⠀⠢⠑⠉⠆⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡑⡊⡔⢡⡉⠆⡔⢣⢐⡡⢂⠀⠀⢂⠐⡈⠌⡐⠠⢁⠂⡐⠀⠀⠀⠈⡀⠐⠀⠀⠀⡜⢦⡙⢦⡙⢦⢳⠀⠀⠀⠈⡔⢠⠃⠤⡉⢆⠡⢃⠜⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⢂⠈⠄⠁⠄⡀⢈⡷⣝⡖⡻⣼⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢄⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢁⠂⠌⡐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡿⣟⣿⣻⢿⡿⣾⣿⣾⣶⣷⣶⣶⣤⣤⣤⣠⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣐⠸⠠⠜⡨⠔⡡⢂⠦⢡⠂⠀⢀⠂⡐⠄⠠⢁⠂⡐⠠⢁⠀⠀⠀⠄⠐⠀⠀⠀⢸⢣⡝⣲⡙⠎⠃⠀⠀⠀⠀⢈⠆⡉⠔⡡⠌⢢⠁⢆⠡⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣻⣿⣿⢿⣿⣿⢿⣿⣿⢿⣿⡿⣿⣿⢿⣿⡿⣿
⠀⠀⠄⠂⠐⠈⡀⠀⣤⢟⡮⣝⡱⢧⡳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠄⠂⠤⢈⠐⡀⠀⠀⠀⠐⡀⠆⡈⠔⠠⡈⠐⠄⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣟⣯⢷⣛⣯⣟⢷⣻⢞⣯⢿⣽⣻⣾⢯⣟⡿⣽⡻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣀⠣⣉⠒⡡⠚⡄⢣⠘⡄⠃⠀⠀⢂⠐⡈⠡⢀⠂⠄⡁⢂⠀⠀⠀⠄⠂⠀⠀⠀⢩⠖⠙⠀⢀⠠⡐⠀⠀⠀⠀⢈⠆⠱⠈⠐⠩⢄⡉⠆⡱⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢭⡿⣾⣿⢿⡿⢿⢯⡿⢯⠛⠉⠁⠟⠛⠛⢿⡛
⠀⠀⠂⠌⡀⠁⠄⡀⣟⣮⡽⣮⣝⡳⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠄⠡⠂⠄⠂⠄⠡⠀⠀⠀⠰⠐⢠⠘⠠⠐⡉⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣻⣎⡿⣞⣾⢻⣞⣯⣞⣟⡾⣷⢯⡿⣾⡽⣷⣃⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡄⢣⡐⢩⠰⡑⢌⡂⢣⠌⡁⠀⠈⠄⠂⠄⡁⠂⠌⡐⢀⠂⠀⠀⠀⠄⠂⠁⠀⠀⠀⢀⠠⡐⢌⠢⡑⠀⠀⠀⠀⠰⡈⠁⠀⢀⠃⢆⡘⠤⣁⠣⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠉⠀⠀⠀⠀⠈⠁⠀⢀⣴⣿⣶⣶⣷⣶
⠀⠀⠀⠀⠀⠀⠀⠀⠤⣀⠒⠤⢠⠰⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢠⠀⠀⠀⠈⠄⢡⠈⡐⡈⢁⠂⠀⠀⠁⠌⠠⠈⠐⠡⢀⡉⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣳⣯⢿⣽⣞⡿⣞⣷⣻⣞⣽⣯⢯⣟⣷⣻⣽⣏⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠂⠉⠀⠈⠁⠎⠁⠀⠈⠄⠉⡐⠠⢁⠂⡐⠠⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⢎⠰⢁⠊⡔⢡⠀⠀⠀⠀⠀⠀⠀⠀⢈⠜⡠⢂⠱⠀⠂⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠠⠀⠄⡀⠀⠐⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⢎⠰⡉⢆⠡⡃⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠄⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣀⣀⣀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠗⡿⣽⣿⣳⣿⣻⢿⣽⣷⣻⣟⣾⢿⣯⣷⢿⣳⣯⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠑⣈⠰⢁⠘⠠⢁⢂⠐⡀⠀⠀⠠⢀⠀⠁⡀⠀⢀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠣⠌⠒⡈⢄⠃⠀⠀⠀⠀⠀⠂⠀⠀⠘⠀⠁⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠠⠑⠀⠂⠁⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⡌⢆⠱⡈⢆⠱⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠰⠀⠀⠀⠀⠀⡀⠄⠀⠀⠄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⣰⣶⣶⣶⢶⣆⣀⡀⠀⠀⣶⣼⣗⣯⣵⣩⣝⣏⣞⡳⢛⡝⠋⠛⠓⠛⠛⠿⠞⠶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⠄⠂⠄⡈⢁⠂⠄⢊⠐⠀⠀⠠⠀⠠⠁⢀⠐⠀⡈⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⡌⠱⡈⠔⡈⢆⡉⠀⠀⠀⠀⠀⠐⠀⡀⠀⠀⢀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣄⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟
⠀⠀⠀⠀⠀⠀⠀⠀⡜⣈⠒⡅⠪⠔⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡐⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢼⣿⣞⣯⣿⣻⡿⣝⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣷⣶⣶⣶⣤⣀⡀⠀⡄⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⢠⠁⢂⠐⠠⣈⠐⠂⠌⠀⠀⠀⠂⠁⠠⠀⠀⠂⢀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⢌⡑⢌⠢⡑⢂⡐⠀⠀⠀⠀⠀⢈⠀⠀⠐⠀⠀⠀⢀⣠⣴⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠈⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠄⡀⠠⢀⠀⠠⠐⠀⠀⠀⠀⠀⠈⠀⠐⠀⢀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢺⣯⣿⢯⣷⣿⣻⣽⠄⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⢘⣿⣶⣷⣶⡶⣶⣷⣤⠀⠀⠈⢄⠈⠤⢈⠐⠠⠈⠄⢃⠀⠀⠀⡁⠈⡀⠄⠁⢀⠠⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠂⠌⠂⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⢀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠌⡐⠠⣁⠂⠌⠡⠈⠀⠐⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠘⣿⣽⣿⣻⡾⣿⣽⡂⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡄⠀⣿⣽⣾⢯⣿⣟⣾⢯⡇⠀⠈⠄⡨⠐⠠⢈⠂⠡⠌⢠⠀⠀⠀⠠⠐⠀⠀⠄⠀⠠⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⠿⠿⣿⠟⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠠⠁⠄⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢿⣳⣯⣷⡿⣯⣷⡃⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠘⣿⣾⢿⣳⡿⣯⣿⠆⠀⠀⠌⠠⢁⠡⠂⠌⠡⢈⠄⢂⠀⠀⠀⠂⢈⠀⠄⠈⡀⠐⠠⠀⠀⠀⠀⠀⠀⢀⡠⡞⣭⢳⡚⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⠟⣹⣿⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⢀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣷⣴⣦⣴⣦⣤⣀⣉⠉⠉⠉⠉⠉⠉⠛⠿⣿⠇⠀⠀⠉⠙⠚⠛⠛⠓⠃⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⣿⣯⣿⢿⣽⡿⣽⠇⠀⠀⠀⠀⠀⠀⠉⠀⠁⠀⠈⠀⠀⠀⠀⠁⠀⠀⠐⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⣏⡳⢽⡘⠃⠁⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠠⠀⠄⠠⠀⠄⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣾⢷⣯⣟⣾⢿⣽⡗⠻⣿⣿⣿⣿⣿⣿⣷⣦⣤⣤⣤⣿⣿⣷⣤⣤⣤⣄⡀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢿⣻⣾⣟⣯⣿⢯⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⣀⢠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠄⠂⠀⠀⠂⢁⠠⠁⡐⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣟⣯⢷⢮⣝⣻⢾⣟⠄⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣀⠀⡀⠀⠉⠙⠈⠋⠘⠀⠀⠀⠀⠈⠀⠀⠂⠀⠐⠀⠀⠀⠀⠁⠀⠈⠀⠀⠂⠀⠄⠀⠀⠀⠀⠀⠀⢀⣠⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢈⠐⡀⠀⠘⠛⠛⠛⠛⠛⠋⠀⣠⢄⡤⣠⢄⣤⢠⣄⢤⣠⢄⡤⣀⠄⠀⠀
⠀⠀⠠⠀⢀⠀⠁⢈⠀⠄⠐⢀⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣾⢯⣟⣾⡽⣿⣞⠀⢸⣿⣿⣿⣽⣿⣿⣿⣿⣯⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⡆⠀⠀⠀⠂⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢆⣸⣿⣿⣿⣿⣿⣿⣩⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠛⠋⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡀⠆⡐⠀⠀⠀⣖⣲⣒⢶⢲⢏⡳⣏⢾⡱⣏⢮⡳⣎⠷⣭⠞⡵⠋⠀⣴⣾
⠀⠀⢀⠠⠀⠀⠀⠂⢈⠠⠈⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣽⣻⣽⡾⣟⣿⡎⠀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⠀⠀⠀⠄⠀⠈⠀⢀⠀⠀⠀⣿⣿⣴⣦⣶⣦⣶⣤⣄⡀⢶⡹⡭⢎⠧⢘⣿⣿⣿⣿⣿⣿⣿⣿⠄⠉⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠂⠀⠀⠀⢈⡀⡱⢎⡭⢞⣭⢳⡝⣮⢳⡝⠎⠓⠉⠛⠂⠉⠁⢀⣾⣿⣿
⠀⡀⢀⠀⢠⠂⠔⡰⠄⠦⡐⠦⠰⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠐⠛⠯⠻⣟⡷⠏⠀⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⢾⣯⣷⣟⣳⢿⣞⣿⣻⠌⢑⡳⡭⢏⡳⡄⢸⣿⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠉⠈⠁⠉⠈⠉⠑⠂⠖⠀⣀⣾⣿⣿⣿⣿
⠠⢁⠌⡈⠄⣈⠐⠬⡘⢢⠑⡌⠣⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠁⠀⠈⠉⠛⠛⠛⠛⠛⠋⠻⣿⣿⣿⠿⡿⣿⣿⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⢀⡀⣀⢀⡀⠀⠀⠀⠀⠀⠀⢸⣟⣾⢿⣜⣣⢿⣯⢿⡿⠀⣝⠞⣭⢳⡁⢺⣿⣿⣿⣿⣟⠻⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⡿⢻
⠐⡈⡐⠠⠌⡀⠂⡜⢡⠂⠥⣨⠑⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠛⠙⠛⠻⢿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣴⣶⡦⠀⢻⣯⣿⢮⣽⣳⡾⣟⣿⠀⣸⢛⣬⠳⠄⢸⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡿⠉⣠⣿
⠠⢁⠤⢁⠂⠔⡁⡘⢆⡩⢒⠤⡙⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠠⡄⢄⡀⡀⠀⠀⠀⡀⠀⠀⠀⠀⠁⠀⠉⠉⠛⠛⠛⠋⠙⠛⠻⠿⡿⠟⠻⣿⣿⣿⣿⠿⠿⢿⡿⠿⢿⣿⣿⣇⠀⣼⡿⣾⣟⣷⣿⣻⣟⣿⠰⣌⡏⡶⢩⠀⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣾⣷⣿⣾
⠐⠂⠐⠂⠌⠂⠰⠉⠀⠁⠉⡀⢁⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⢡⠜⢢⠑⡌⡱⢈⡒⢡⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠀⠉⠛⠳⠻⠽⢞⣯⣟⡿⣐⠘⠌⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡿⣿
⠀⠀⠀⡀⠀⠀⢀⠂⠁⠌⢀⠀⠂⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠢⠜⣂⠱⣈⠔⢣⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠱⢂⠤⢠⠄⢤⠠⢄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣟⣯⢷⣿
⠀⠀⠀⠀⡀⠁⠠⠀⠡⢀⠂⠌⠁⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢬⠑⣊⠤⢃⡔⢊⠆⢣⠔⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠩⢌⠒⡡⠊⢆⠱⢊⠱⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿
⣄⡀⠀⠀⠀⠀⠀⢁⡐⠠⠈⢐⡰⢉⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢎⡘⠄⠚⠤⡘⠂⢍⢂⠎⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡙⠤⢃⠤⡑⢌⠢⢡⠍⡒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿
⣾⣽⣀⠀⠀⠀⠀⠀⠀⠀⡀⠇⠈⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡻⡴⢮⡳⣖⢦⠷⣦⢎⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡑⡊⠥⢒⡉⢆⠩⢆⡘⣡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠛⠿⢿⡿⣿⢿⡿
⠿⢿⣿⣆⠀⠀⠐⠳⠀⠀⢀⣀⠰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣯⢝⡧⢳⣙⣎⠿⣜⣫⡝⢦⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣡⣑⠌⢂⠘⡈⠒⢈⠰⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠙⠛⢶⠀⠀⠀⢠⣶⣿⡿⠋⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⣧⢻⡜⣣⢳⢬⡳⣝⠶⣭⢻⣿⡇⠀⠈⠄⡁⢂⠌⡐⠠⠌⠠⢀⠄⠠⠀⠄⠠⢀⠀⠀⠀⠀⢴⣣⢏⡷⣞⣳⢳⣛⢮⡗⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿
⠉⠻⣶⢤⣀⣴⣦⣄⠘⡿⣟⢧⣴⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣧⢻⡜⡥⢏⠶⣙⢮⣛⠶⣹⣿⡇⠀⠐⠠⠈⠄⠂⠄⠡⢈⠐⠠⠈⠄⠃⠌⡁⠂⠌⡐⠀⠀⢞⡵⣫⠞⣬⢓⡏⣞⢧⣛⢶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿
⠀⠀⢤⡀⠘⢿⣿⣿⣆⠀⠀⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡞⣧⣛⡜⣯⣚⠽⣮⡝⣮⢹⣿⡇⠀⠠⢁⢁⠂⠌⢠⠁⠂⠌⠠⠡⢈⠐⠠⢀⠁⠢⠐⠀⠀⣜⡳⣭⡛⡴⣫⢼⣙⢮⡝⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠠⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠘⢿⣿⣿⣷⣤⠘⣻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⢟⠲⣝⠾⣱⢭⣛⢶⡹⢎⢽⣿⡇⠀⢀⠂⠤⢈⠐⠂⠌⡐⢈⠁⢂⠂⠌⡁⠂⠌⢠⠁⠀⠀⢸⡳⢧⡝⣲⣝⡲⡝⣮⣝⣲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿
⠀⡠⢎⡳⢠⡀⠀⠈⠻⢿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠝⣣⣛⣜⣣⣛⣍⢺⣿⡇⠀⠀⠌⡐⠠⢈⠂⠔⠠⠈⠄⠡⢈⠐⠠⠁⡌⠠⠈⠄⠀⡳⣝⢧⡻⣵⢪⡵⣹⠶⣭⢶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⣽
⢦⡙⣎⠵⣣⠹⣍⠖⡀⠀⠉⠻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠄⠈⠀⢁⠀⠂⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠙⠁⠀⢀⠂⠄⡁⠠⢈⠀⠡⠈⠌⠐⠂⠌⠠⠁⠄⠡⠌⡀⠀⢻⡜⣧⢛⢶⣫⢞⡵⣻⣜⣳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣯⡿
⢦⡙⢦⢫⡔⠋⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠐⠀⢈⠀⡀⠀⠂⠁⠠⠀⠃⠌⡐⢀⠂⠄⡠⠀⠄⡀⠠⡘⢌⠩⡘⢌⡡⢍⡘⢡⢃⠒⡌⠒⡌⢢⠱⣈⡐⢄⡠⠀⠀⠘⠒⠻⠶⣭⣮⣵⣧⣮⣵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⡆
⡲⣙⠮⡑⠀⠀⠀⠀⢀⠐⡈⡐⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠐⠈⠀⢀⠀⠐⠀⡈⠀⠠⢉⠐⠠⢈⠐⠂⠄⡁⢂⠄⠡⡑⢌⠢⡑⢢⠐⠆⡌⢡⠊⠴⣈⠱⡈⢆⠱⢠⠘⡄⡒⢩⠄⡀⢀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠠⠀⠀⡀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⣿
⡱⢣⢃⠀⠀⠀⠀⡐⠠⢂⠐⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠐⠀⠁⡀⠠⠈⢀⠀⠐⠀⠂⠌⡐⠠⢈⠐⡈⠐⠠⢈⠐⡅⡊⠔⡡⢂⠍⡒⢌⠢⣉⠒⡄⢣⠘⡄⠣⢌⠢⡑⢌⠒⡄⠐⡈⠐⠠⠁⠌⡐⠠⢂⠰⠀⠀⠠⠁⠀⠄⠀⠁⠀⠄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣟⠙⣻
⡱⣋⠎⡁⠀⢀⠂⠄⠁⠂⠀⢀⡰⡴⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠐⠈⠀⡀⠄⠐⠀⠀⠂⠈⡄⠡⠠⢁⠂⡐⠈⠄⠃⠄⡈⢆⠱⣈⠴⢁⠎⣐⠊⡔⢄⠣⡘⢄⠣⢌⠱⣈⠒⡰⢈⠜⡀⠡⢀⠉⠄⡉⠐⠠⢁⠂⠤⠁⠀⠂⠀⠌⠀⠈⢀⠂⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠥⣏⣤⣬
⠡⠁⠀⠀⠀⠀⠈⠀⠀⢀⠤⢫⣵⣷⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠁⢀⠠⠀⢈⠀⠐⠀⠤⢁⠒⠠⠈⠄⣁⠊⡐⠐⡈⢆⠱⢠⠊⡔⡘⢄⠣⡘⢄⠣⡘⢄⠣⢌⠒⡄⢣⠘⡐⢊⠄⡁⠂⠌⡐⠠⢁⠂⡐⢈⠐⡀⠠⠁⠠⠀⢈⠀⠄⠀⠂⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠙⣌⡉
⠀⠀⠀⠀⠀⠀⣀⠤⣾⣏⠂⠘⣷⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠁⡀⠈⠀⠡⠈⠄⠂⠄⠃⠐⢊⡜⡠⢣⠰⣁⠎⡰⢁⠎⡰⢁⠎⡰⢊⠔⡘⡄⢣⠑⡊⠔⠠⢁⠂⠄⣁⠂⠤⢁⠂⠌⡀⠀⠐⠀⠐⠀⠠⠀⠂⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠍⡀⠁⣠
⠀⠀⠀⠀⣰⢒⣬⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠄⠁⡀⠄⠀⠄⠀⠄⠠⠁⠄⡐⠠⠁⠄⡐⢀⠃⠌⠑⡈⢂⠑⠈⠦⠑⠌⠆⠱⠘⠂⣁⠂⠌⡐⠠⢈⡐⠠⢈⠐⡀⠀⠁⠠⠈⠀⠄⠐⠀⠁⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⠁⢠⠄
⠀⠀⢀⡞⣥⣿⠿⠃⠀⠀⠀⢀⢒⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠁⡀⠄⠀⡀⠂⠀⠌⠀⢀⠃⡐⠠⠁⡌⠐⣀⠂⠌⠠⢁⡐⠠⢈⠐⠠⠁⠌⡐⠠⢈⠄⠀⠈⠀⠀⠁⠀⠀⠁⠂⠁⠀⠀⠁⠀⠂⠁⠀⠂⠈⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠠⡜⢂
⠀⠀⣿⣾⠿⠉⠁⠀⠀⠀⠄⠀⡎⠰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢀⠀⠠⠐⠀⠀⡁⠠⠀⢀⠒⠠⢁⠒⠠⠁⠄⡈⠤⢁⠂⠄⡁⠂⠌⠄⢃⠐⠠⢁⠂⠄⠀⠂⠁⠠⠈⠀⠌⠀⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡰⢃⠜
⠀⠈⠹⠏⠀⠀⢀⠠⠈⠠⠀⠠⢍⡱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡀⠠⠀⠄⠂⠁⢀⠀⠐⠀⡌⠐⡠⠈⢄⠡⠒⡀⠂⠤⢈⠐⠠⢉⠐⡈⠄⠌⢂⠐⡈⠄⠐⠀⢈⠀⠐⠀⠠⠈⢀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢌⠇⡘⠀
⠀⠀⠀⠀⠀⠀⠂⠀⠄⠁⠀⠀⠇⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠄⠠⠀⠐⠀⠠⠀⠂⠐⠠⠁⡄⢁⠂⠄⠡⢀⠁⢂⡐⢈⠁⢂⠐⠠⠌⡐⢀⠂⠰⠀⠠⠈⠀⢀⠂⠈⠀⠄⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣺⠀⠧⣤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠂⠀⠠⠐⠈⠀⠄⠐⠀⢈⢁⢂⠐⡠⠌⡈⢐⠠⢁⠂⡐⢀⠊⠄⠨⠐⢠⠐⡈⠄⡑⠀⠠⠀⠁⡀⠀⠂⠁⡀⠈⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⡤⢦⣬
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠂⠀⡀⠐⠀⠂⠐⠂⠄⠁⠌⠂⠡⠈⠄⢂⠰⢀⠰⠁⠀⠄⠁⠀⡐⠀⠄⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡖⣠⡌⣉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠐⠀⠁⠀⠄⠂⠀⠄⠠⠀⠂⢀⠠⠀⠐⠀⡀⠀⡀⢀⠀⠈⠀⠀⠁⠀⠀⠀⠂⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠷⢾⣶
⠀⠀⠀⠀⠀⠀⢀⠀⢀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠐⠈⠀⠂⢀⠐⠈⠀⠠⠐⠀⡀⠀⠐⠀⠂⢀⠐⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡿⢶⣦⣌
⠀⠀⠀⠀⠀⠠⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠂⠁⠠⠀⠀⠂⠁⡀⠄⠂⠀⢈⠀⠐⠀⡀⠀⠂⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢰⣧⣤⣍⣉
⠀⠀⠀⠀⠀⠀⠄⠀⢀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠐⠀⢈⠀⡀⠁⡀⠂⠀⡀⠐⠈⠀⡀⠈⢀⠀⠄⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢬⢹⡍⣾⡽⣏⣿⠉
⠀⠀⠀⠀⢠⣀⢠⣀⣀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠐⠈⠀⢀⠀⠄⠀⡀⠁⠀⠄⠂⠁⠀⠐⠀⠠⠀⠂⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⡌⣶⢫⡅⢙⡎⣱
⠀⠀⠠⠀⠰⢌⠢⠔⢢⡁⠖⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠂⠀⠄⠁⠠⠀⠂⠁⠠⠈⢀⠐⠀⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⠁⠾⠟⢦⡦⢣⠜
⠀⠀⠄⠀⢘⠆⡩⠜⡡⢌⠁⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠓⢾⢧⣬⣤⡜⢠
⠀⠀⡀⠀⡘⣌⡐⢣⠘⣌⠀⠀⠁⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢾⡶⣤⣬⠀⢁⡘
⢩⢡⢃⠣⣹⢳⣛⡯⣟⢾⠀⠁⠌⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡴⢤⣈⡍⠉⠿⠀
⢢⠡⢎⠰⢩⣏⡷⣝⢾⣹⠀⠈⠄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⣾⡕⠂⠦
⢂⡱⣈⠆⣹⢮⣳⢯⡞⣽⠀⣈⢀⣈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠯⢀⠛
⣟⢶⣛⠾⣭⢳⡝⣮⢽⡺⡝⣯⢯⡝⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⠀⣻⠃
⣻⢮⣝⡻⣜⢧⡻⣝⡮⣕⢻⡼⣣⢿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
This is really good
(I never saw this coming)