Petting Boy Kisser Emojis & Text

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⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣄⠀⠀⠀⠀⢹⡛⠉⠛⠓⠲⢤⣄⡀⠀⠀⠀⠀⠀⢀⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣏ ⠀⠀⠀⣸⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⡀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠈⠛⢦⣀⠀⠀⢀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡏ ⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⡀⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀⠙⠳⣤⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡇ ⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⠶⠚⠛⠏⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡇ ⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⢯⣭⣤⣤⡤⠤⠤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡇ ⠀⠀⠀⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡗ ⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀ ⠀⠀⠀⠘⣧⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣴⣶⠶⠶⠲⣶⠶⠶⠀⠀⠀⠀⠀⠀⣼⠃⠀ ⠀⠀⠀⠀⠹⡄⠀⠀⠀⠈⠉⡟⠉⠁⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡀⠀⠀⠹⡧⠀⠀⠀⠀⢀⣠⠾⠉⠀⠀ ⢀⣀⣀⠀⠀⠻⣦⠀⠀⠀⢸⠃⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠄⠀⠀⠀⢹⠀⠀⠠⡦⠿⠟⠲⠶⢶⡄ ⠀⢻⡍⠛⠙⠛⠛⠻⠀⠀⣾⠁⠀⠀⠀⢸⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⣰⠞⠁ ⠀⠀⠹⢦⡄⠀⠀⠀⠀⠀⣻⡄⠀⠀⠀⠈⠻⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠟⠛⠁⠀⠀⠀⠀⠼⠀⠀⠀⠀⠀⣠⡞⠉⠀⠀ ⠀⠀⠀⠀⠙⣷⠄⠀⣠⣤⡈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡆⢀⡤⠀⠀⠀⢺⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⠇⠀⠘⠃⢸⡧⠶⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠛⠹⠷⠋⠀⠀⠀⠀⠀⠙⣦⠀⠀⠀ ⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⣄⡤⠾⠋⠙⠛⠓⠲⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠉⣿⠀⠀ ⠀⠀⠀⠸⠷⠤⠤⠴⠶⠾⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠞⠃⠶⠶⠶⠞⠛⠛⠉⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢻⣶⣶⣴⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠗⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡄⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣁⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⡏⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠘⣯⣼⣿⠟⣿⣿⠟⠁⣸⠁⠒⠠⢀⡀⠀⠠⠈⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⡧⠖⠒⠒⠁⠉⠁⠀⠀⢻⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣧⠀⣴⡇⠀⢰⠀⠀⠀⢀⠀⡜⠀⠀⠹⡏⢁⣴⠛⠁⠀⢠⠇⠀⠀⠀⠀⠀⠜⠁⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣧⢹⣒⣒⠶⠶⢦⡤⠝⠛⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⠞⢠⡁⠀⢷⠀⠀⢀⠎⠸⠀⠀⠀⢀⣴⠋⠁⠀⠀⢀⠏⠈⠉⠀⠀⢀⣀⠀⠤⠐⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠸⡇⠀⠈⠆⢀⠇⠀⠁⠀⣼⢠⡞⡁⠀⠀⠀⢀⠏⠀⠀⠀⠚⠛⠂⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣀⠀⠀⢀⣀⣀⣀⣀⠠⠄⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠹⡄⠀⠈⠚⠂⠀⠀⣴⣿⡎⠀⠀⠀⠀⠀⡞⠀⠀⠐⠒⠐⠀⠀⠀⠀⠈⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⡂⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢄⠀⠀⠀⠀⠀⡇⠈⠀⠀⠀⠀⠀⠈⢳⠀⠀⠀⠀⢀⠀⠀⠤⠄⠒⠂⠨⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠢⢤⣀⡀⢳⢀⣀⣠⠤⠤⠤⠤⠬⡇⠒⠈⠉⠀⠀⠀⠀⠀⠀⢀⠀⠘⣆⢀⣀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠤⠂⠈⠙⠁⡀⠄⢂⠐⡀⠆⠐⣻⠀⠀⢀⡀⠄⠐⠂⠉⢀⣀⣀⣠⣼⣦⣤⣂⠐⠐⡈⠐⢂⠁⠒⠠⢁⠂⠌⢉⠑⢦⠀⣠⠤⠴⠾⢲⠶⠶⠤⠤⢤⣀⣀⠒⠀⠤⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠳⠤⣌⣌⣠⠁⡐⠈⠄⢂⠐⡈⠄⣹⡖⠀⣀⣠⣦⣶⣿⣿⣭⣽⣶⣷⣽⣶⣬⣭⡳⣥⠀⠡⠀⠌⠠⢁⠂⠌⡀⠂⠌⢀⣾⣥⣶⣶⣿⣿⢿⡿⣿⣿⣿⣿⣮⣽⣿⣶⣄⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠌⠐⡀⢂⠐⠠⢈⣷⣿⣿⣿⣟⡿⣽⣻⣿⣟⡷⣯⣟⣿⣿⣟⣿⣿⠇⠠⢁⠈⡐⠠⠈⠄⠠⢁⠂⣼⣿⣯⣷⣻⣿⣽⢯⣟⣷⣿⣟⣾⣽⣻⣟⡿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠦⣌⡐⢀⠂⡈⠐⡀⠻⣿⣿⣿⣾⣿⣿⣽⣯⣿⣟⣷⣿⣾⣿⣿⣿⡿⠀⡁⠂⡐⠠⠁⠌⠠⠁⠂⠄⡈⢿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣾⣷⣿⣾⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠃⠐⠤⠀⠙⠛⠿⠿⣿⣿⣿⣿⠿⠿⠟⠛⢋⠉⡀⠄⢂⠐⠠⠐⠠⠁⠌⠠⠁⠌⠠⠐⡀⠈⠉⠛⠛⠟⠻⠟⠟⠻⠛⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠒⠐⠒⠂⠂⠂⠑⠀⠃⠈⠀⠃⠈⠀⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⢸⠂⠀⠀⠀⠘⣧⠀⠀⣟⠛⠲⢤⡀⠀⠀⣰⠏⠀⠀⠀⠀⠀⢹⡀ ⠀⡿⠀⠀⠀⠀⠀⠈⢷⡀⢻⡀⠀⠀⠙⢦⣰⠏⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⡇⠀⠀⠀⠀⠀⠀⢀⣻⠞⠛⠀⠀⠀⠀⠻⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⡇⠀⠀⠀⠀⠀⠀⠛⠓⠒⠓⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀ ⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⢀⡟⠀ ⠀⠘⣇⠀⠘⣿⠋⢹⠛⣿⡇⠀⠀⠀⠀⣿⣿⡇⠀⢳⠉⠀⣠⡾⠁⠀ ⣦⣤⣽⣆⢀⡇⠀⢸⡇⣾⡇⠀⠀⠀⠀⣿⣿⡷⠀⢸⡇⠐⠛⠛⣿⠀ ⠹⣦⠀⠀⠸⡇⠀⠸⣿⡿⠁⢀⡀⠀⠀⠿⠿⠃⠀⢸⠇⠀⢀⡾⠁⠀ ⠀⠈⡿⢠⢶⣡⡄⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⣴⣧⠆⠀⢻⡄⠀⠀ ⠀⢸⠃⠀⠘⠉⠀⠀⠀⠠⣄⡴⠲⠶⠴⠃⠀⠀⠀⠉⡀⠀⠀⢻⡄⠀ ⠀⠘⠒⠒⠻⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠞⠛⠒⠛⠋⠁⠀ ⠀⠀⠀⠀⠀⠀⠸⣟⠓⠒⠂⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⣹⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣶⡆ ⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⠟⠛⠛⠿⢿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡿⠁ ⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠈⠉⠻⠿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡆ ⠀⠀⠀⠀⠀⣾⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣧⣤⡀⠀⠀⠀⠀⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⣷⣀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠇ ⠀⠀⠀⠀⠀⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣇⠀⠀⠀⠀⢹⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣷⣄⠀⠀⠀⣰⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⠀ ⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣧⠀⠀⠀⠀⢿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣷⣶⢠⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀ ⠀⠀⠀⠀⢸⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣷⣄⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀ ⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⡆⠀⣠⣿⣿⣿⣷⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀ ⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀ ⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⠿⠛⠉⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀ ⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀ ⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀ ⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠛⠛⠛⠛⠛⠛⠛⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠀ ⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀ ⠀⠀⠀⠀⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀ ⠀⠀⠀⠀⢸⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀ ⠀⠀⠀⠀⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡇⠀ ⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠇⠀ ⠀⠀⠀⠀⠀⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡿⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠃⠀⠀ ⠀⠀⠀⠀⠀⢻⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢰⣶⣶⣶⣶⣦⣤⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠛⠛⢿⣿⣿⡟⠻⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⡄⠀⠀⠀⠀⠀⠀⠸⠿⠿⢿⣿⣿⣿⣿⡟⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠘⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⣿⣿⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡆⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠹⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⣄⣀⠀⠀⠀⠀⠀⢰⣿⣿⡏⠛⠁⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢀⣿⣿⣿⡀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣏⣀⡀⠀⠀⠀⠀⠀ ⣀⣀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⡀⠀⠀⠀⠀⣾⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠈⣿⣿⣿⡇⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⣿⣿⣷⣶⣤⣤⣤⣤⣼⣿⣿⣿⣿⣆⠀⠀⢀⣿⣿⡇⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠈⣿⣿⡇⠀⠀⠀⢿⣿⣿⠟⠛⠛⠋⠉⠉⠉⢉⣿⣿⣿⠀ ⠻⣿⣿⣿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⠏⠀ ⠀⢿⣿⣿⣧⠀⠀⠈⠉⠉⠉⠙⢿⣿⡿⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⠏⠀⠀ ⠀⠈⢿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡄⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⡿⠁⠀⠀⠀ ⠀⠀⠈⠻⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢿⣿⣿⣿⣤⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⠟⠁⠀⠀⢀⣤⣶⣶⣶⣿⣿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⢠⣤⡼⠿⢿⣧⡀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠻⢿⣿⣿⣿⣦⣄⡀⠀⢀⣀⣀⣘⢿⣿⠏⣀⡀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡇⢀⣼⣿⣧⠀⠀⠀⠀⢠⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠛⠛⣻⣾⣿⣿⣿⣿⡆⠀⣾⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣾⣿⣿⣿⣣⣾⣿⣿⡿⠀⠀⠀⠀⠸⠿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡏⠀⢸⣿⣿⡟⣹⣿⣿⣧⣾⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⣿⡿⠀⠀⠀⠙⠛⠃⣿⣿⣿⣿⣿⡿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣿⣿⣿⣿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣶⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⣿⣿⠁⠀⠀⠀⠀⠀⠀⢻⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣦⡀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣶⣶⣤⣄⣠⣶⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣧⣤⣴⣿⣿⣿⡿⠛⠛⠻⢿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡄⠀⠀⠀⠀⠀⢀⣶⣄⣀⣤⣼⣿⣿⣧⡄⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣦⣄⣀⣀⣿⣷⣶⣤⣿⣿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣷⣶⣦⣤⣤⣤⣾⣿⣿⣿⣿⣿⡿⠿⠟⠃⠀⠀ ⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣾⣿⣿⣿⠿⠋⣿⣿⠿⠿⠿⠿⠿⠟⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⣿⣶⣶⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⣶⣿⣿⣿⣿⡿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡿⠿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠿⢿⣿⣿⣿⣿⣶⣶⣶⣶⣾⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠋⢩⣶⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣦⠀⠈⠙⠛⠻⠿⠛⠻⠿⠿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡟⠁⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣶⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⠛⠛⠛⠛⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⢀⣤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⢤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡼⠋⠀⣀⠄⡂⠍⣀⣒⣒⠂⠀⠬⠤⠤⠬⠍⠉⠝⠲⣄⡀⠀⠀ ⠀⠀⠀⢀⡾⠁⠀⠊⢔⠕⠈⣀⣀⡀⠈⠆⠀⠀⠀⡍⠁⠀⠁⢂⠀⠈⣷⠀⠀ ⠀⠀⣠⣾⠥⠀⠀⣠⢠⣞⣿⣿⣿⣉⠳⣄⠀⠀⣀⣤⣶⣶⣶⡄⠀⠀⣘⢦⡀ ⢀⡞⡍⣠⠞⢋⡛⠶⠤⣤⠴⠚⠀⠈⠙⠁⠀⠀⢹⡏⠁⠀⣀⣠⠤⢤⡕⠱⣷ ⠘⡇⠇⣯⠤⢾⡙⠲⢤⣀⡀⠤⠀⢲⡖⣂⣀⠀⠀⢙⣶⣄⠈⠉⣸⡄⠠⣠⡿ ⠀⠹⣜⡪⠀⠈⢷⣦⣬⣏⠉⠛⠲⣮⣧⣁⣀⣀⠶⠞⢁⣀⣨⢶⢿⣧⠉⡼⠁ ⠀⠀⠈⢷⡀⠀⠀⠳⣌⡟⠻⠷⣶⣧⣀⣀⣹⣉⣉⣿⣉⣉⣇⣼⣾⣿⠀⡇⠀ ⠀⠀⠀⠈⢳⡄⠀⠀⠘⠳⣄⡀⡼⠈⠉⠛⡿⠿⠿⡿⠿⣿⢿⣿⣿⡇⠀⡇⠀ ⠀⠀⠀⠀⠀⠙⢦⣕⠠⣒⠌⡙⠓⠶⠤⣤⣧⣀⣸⣇⣴⣧⠾⠾⠋⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣭⣒⠩⠖⢠⣤⠄⠀⠀⠀⠀⠀⠠⠔⠁⡰⠀⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⢤⣀⣀⠉⠉⠀⠀⠀⠀⠀⠁⠀⣠⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠒⠲⠶⠤⠴⠒⠚⠁⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣀⢀⣾⠿⠻⢶⣄⠀⠀⣠⣶⡿⠶⣄⣠⣾⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢻⣿⣿⡿⣿⠿⣿⡿⢼⣿⣿⡿⣿⣎⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠉⠛⢛⣛⡉⠀⠀⠙⠛⠻⠛⠑⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣧⣤⣴⠿⠿⣷⣤⡤⠴⠖⠳⣄⣀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣀⣟⠻⢦⣀⡀⠀⠀⠀⠀⣀⡈⠻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠉⡇⠀⠀⠛⠛⠛⠋⠉⠉⠀⠀⠀⠹⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠀⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠈⠑⠪⠷⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣦⣼⠛⢦⣤⣄⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠢⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠲⠖⠛⠻⣿⡿⠛⠉⠉⠻⠷⣦⣽⠿⠿⠒⠚⠋⠉⠁⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⠛⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀ ⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀ ⠀⠀⠀⣰⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣧⣄⠀⠀⠀⠀⠀⠀⢳⡀⠀ ⠀⠀⠀⣿⡾⢿⣀⢀⣀⣦⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣫⣿⡿⠟⠻⠶⠀⠀⠀⠀⠀⢳⠀ ⠀⠀⢀⣿⣧⡾⣿⣿⣿⣿⣿⡷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢿⣿⣧⠀⡀⠀⢀⣀⣀⢒⣤⣶⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⡾⠁⠙⣿⡈⠉⠙⣿⣿⣷⣬⡛⢿⣶⣶⣴⣶⣶⣶⣤⣤⠤⠾⣿⣿⣿⡿⠿⣿⠿⢿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣸⠃⠀⠀⢸⠃⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⠟⡉⠀⠀⠀⠈⠙⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣿⠀⠀⢀⡏⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠉⠠⠿⠟⠻⠟⠋⠉⢿⣿⣦⡀⢰⡀⠀⠀⠀⠀⠀⠀⠁ ⢀⣿⡆⢀⡾⠀⠀⠀⠀⣾⠏⢿⣿⣿⣿⣯⣙⢷⡄⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣻⢿⣷⣀⣷⣄⠀⠀⠀⠀⢸⠀ ⢸⠃⠠⣼⠃⠀⠀⣠⣾⡟⠀⠈⢿⣿⡿⠿⣿⣿⡿⠿⠿⠿⠷⣄⠈⠿⠛⠻⠶⢶⣄⣀⣀⡠⠈⢛⡿⠃⠈⢿⣿⣿⡿⠀⠀⠀⠀⠀⡀ ⠟⠀⠀⢻⣶⣶⣾⣿⡟⠁⠀⠀⢸⣿⢅⠀⠈⣿⡇⠀⠀⠀⠀⠀⣷⠂⠀⠀⠀⠀⠐⠋⠉⠉⠀⢸⠁⠀⠀⠀⢻⣿⠛⠀⠀⠀⠀⢀⠇ ⠀⠀⠀⠀⠹⣿⣿⠋⠀⠀⠀⠀⢸⣧⠀⠰⡀⢸⣷⣤⣤⡄⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⢼⡇ ⠀⠀⠀⠀⠀⠙⢻⠄⠀⠀⠀⠀⣿⠉⠀⠀⠈⠓⢯⡉⠉⠉⢱⣶⠏⠙⠛⠚⠁⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠻⠄⠀⠀⠀⢀⣿⠀⢠⡄⠀⠀⠀⣁⠁⡀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⡟⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢠⡇

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⢰⠙⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⢹⠰⡀⠀⠀⡃⠑⢾⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣀⡀⠀⡆⠇⠀⠛⣄⠀⣇⣰⡿⣧⣤⣤⣬⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢹⠀⠸⠐⣧⣈⢸⣄⢈⣷⣿⣿⢃⣿⣫⣴⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⡄⠐⡁⠈⢆⠈⠉⠻⣿⡿⡛⠉⣀⣤⣤⣤⣭⣿⡓⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠀⠐⡆⠈⢳⣶⣶⢯⠊⣠⣾⣿⣿⣿⣿⡍⠉⠳⢄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢆⠀⠑⠀⡀⠙⡿⠁⣾⣿⣿⣿⣿⠝⠒⠢⢄⠀⠀⠑⢤⡀⠀⠀⠀ ⠀⠀⠀⠐⣤⣈⣦⣀⣀⠀⢀⡧⢤⣿⣿⣿⣿⣀⠄⠀⠀⠀⣣⣷⣦⡀⠈⠢⡀⠀ ⠀⠀⠀⠀⢣⡈⠙⢣⡀⢨⠃⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣶⣶⣿⡆ ⠀⠀⢀⣐⣶⣛⠯⠖⠳⢼⠀⠀⠀⠀⡜⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀ ⠀⠀⠹⣁⠀⠀⣈⣩⠥⠀⠳⣦⠀⠀⣳⡿⢿⣿⣿⣿⣮⡻⢿⣿⣿⣿⣿⡫⣺⠀ ⠀⠀⠀⢈⣻⢛⡳⠤⠤⡾⣟⣒⠛⠯⡽⣍⠐⢌⡉⠙⠛⠛⠳⠬⠟⠋⠐⢊⠍⠀ ⠀⠀⡠⢐⡗⢁⡾⠋⣉⣬⠖⠒⠲⡤⠌⣂⠥⢀⡈⢣⡈⠀⠀⠀⠐⠪⢽⣋⠒⢄ ⡠⠊⠀⠛⠲⣿⡃⠜⡯⣴⢺⡛⠲⣵⢄⡀⠨⠁⠒⠒⠈⠀⠀⠀⠀⣀⣀⣉⡹⠂ ⠀⠀⠀⠀⠀⠘⡿⠀⢀⢿⢸⡇⠀⠀⠑⠪⡍⠒⠂⠀⠀⠀⠀⣠⠤⠐⠒⢾⡿⡂

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢶⣿⢃⣠⣴⣶⣶⣿⣛⢯⣹⣾⠁⠀⠀⠀⠀⠀⢀⣀⣤⣴⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣻⣾⣿⣞⣯⣷⣽⣾⣿⣁⣀⣠⢤⡶⣶⠿⣻⣶⣟⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣟⣯⣿⣶⣯⣿⣿⣿⡁⠀⣴⠿⣟⣿⣟⣿⣻⢷⢯⣞⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⢒⣖⣲⡶⢶⡖⣶⣒⢶⡲⣞⣫⠭⣭⣭⣽⣭⣯⣽⣿⣿⣿⣿⣿⣿⣿⠿⢿⡿⠿⠿⠿⣌⠿⢿⣿⣿⣿⣿⡾⣽⢯⣟⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣯⣛⢧⣛⢧⣛⡶⣹⣎⢷⣝⡮⣟⢷⡾⣹⢯⡟⠉⠉⠛⢿⣿⣿⣯⣟⣿⣫⣽⡿⣃⣔⣬⣿⣷⣯⣿⣿⣿⣿⣽⣻⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣟⡾⣭⡟⣾⣹⢗⣾⣫⢾⡽⣽⢾⡽⢯⡟⠀⠀⠀⢀⢈⣿⣿⣿⣿⣿⠿⢻⣷⣼⣿⣿⣟⣿⣟⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣷⣿⣷⣯⣟⡾⣽⣳⢿⡽⣾⡽⡟⠀⠀⢀⣰⠞⠟⠙⢻⣷⣿⣸⣷⣾⣟⣺⣽⣟⣻⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣷⣯⣿⣽⣳⢿⠃⠀⠀⢀⠀⢠⣤⣦⣄⣇⠉⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⣿⣿⣿⣿⣿⣉⠉⠉⠻⠀⠀⠠⢀⣾⢿⠋⢁⣿⣿⠀⠀⠀⠀⣿⣧⠙⢿⣹⣏⢠⣛⠟⠁⠀⠀⢀⣴⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⣓⣈⣰⣦⣤⣀⣼⠋⠀⠀⢭⣽⣿⡇⠀⣀⣀⣿⣿⡇⡸⣿⣿⡤⠉⠒⠤⣀⠀⠠⡄⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢹⠏⠀⠛⣞⣧⣾⠍⠢⣀⠀⠈⠻⠟⣇⢉⣡⡶⣭⠯⡀⠐⠛⠙⢇⠀⠐⢲⠏⠀⠀⠈⠲⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠁⢀⠄⠂⢸⠛⠁⣠⣲⡆⢔⠾⠋⠀⠈⠢⣉⠀⢀⣀⣈⡆⠀⠀⢸⣀⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠤⣌⡁⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⡿⠀⠀⣜⣩⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⣛⡉⠀⠀⠓⢄⡀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⡹⠋⠀⣠⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠐⠒⠚⣿⣶⠦⣄⣀⡀⠘⠿⠽⠶⢾⣷⣀⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣀⡀⣀⣀⣠⡿⠍⣛⠻⡿⠿⣟⣲⣶⣶⡶⠿⣿⣖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠼⠛⢻⠿⠻⢿⣿⣷⣿⣶⣆⠬⡯⣑⣿⣿⣿⣿⣹⣍⣧⣾⠈⠉⠉⠒⠒⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠁⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠋⠀⠀⠐⠒⠠⣔⠁⠀⠉⣿⣿⣿⢛⡖⠾⠿⢿⡿⠿⣾⠟⠁⠀⠀⠀⠀⠀⠸⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡅⠀⠀⠀⠀⠀⠀⠀⠉⠒⠄⠘⢿⣿⠇⠈⠁⠒⠺⣤⣢⡼⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠦⣌⡐⢀⠂⡈⠐⡀⠻⣿⣿⣿⣾⣿⣿⣽⣯⣿⣟⣷⣿⣾⣿⣿⣿⡿⠀⡁⠂⡐⠠⠁⠌⠠⠁⠂⠄⡈⢿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣾⣷⣿⣾⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠃⠐⠤⠀⠙⠛⠿⠿⣿⣿⣿⣿⠿⠿⠟⠛⢋⠉⡀⠄⢂⠐⠠⠐⠠⠁⠌⠠⠁⠌⠠⠐⡀⠈⠉⠛⠛⠟⠻⠟⠟⠻⠛⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠒⠐⠒⠂⠂⠂⠑⠀⠃⠈⠀⠃⠈⠀⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠈⢶⡀⠀⠉⠓⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⢀⡴⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠲⣤⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢳⠀⠀⠀⠀⠈⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠉⡿⢀⡔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⠖⠛⠋⠉⠉⠉⠉⠙⠒⠦⣄⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣦⠀⠀⠀⠀⠀⠘⣿⠶⣄⡀⠀⠀⠀⣰⠏⠀⢸⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⠀⠀⠀⢀⣀⡤⠤⣄⣀⣀⠀⣀⡈⠙⠶⣄⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠈⠳⣄⡉⠓⠦⣄⣇⠀⠀⠸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠪⣝⡛⠛⢦⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠛⢦⡀⠀⠉⠙⠲⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠈⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⢳⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⠀⠀⠀⠀⠀⠀⠀⠀ ⠳⡀⠀⠀⠀⠀⠈⢧⠀⠙⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣦⣄⣀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⠀⠀⠰⡼⠀⠀⠀⠀⠀⠀⠀⠀ ⠦⣝⢦⡀⠀⠀⠀⠈⣷⣄⠈⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠿⠟⠋⠉⠁⠀⠀⠀⠙⢷⣤⣄⡘⢧⠀⠀⠐⣆⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠸⡇⠀⠀⣴⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⢦⡀⠉⠛⠒⠀⠀⠀⢻⡈⠳⣄⠀⠀⠀⠀⠀⠀⠀⣰⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠈⠙⢮⣇⠀⠀⢹⣄⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⢻⡀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠻⣦⣄⡀⠀⠀⠀⠀⠹⣄⠈⠳⢦⠀⠀⠀⠀⠘⠁⠀⣀⣤⣶⣶⣶⣶⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⡸⠙⢦⡀⠀⠀⢷⡀⠀⠀⠀⠀⠀⢳⡄⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠳⢭⣗⣲⠀⠀⠀⠘⢧⣀⠀⣀⣀⣀⠀⠀⣠⣾⣿⡿⠿⠛⠛⠿⢿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⣇⣠⠇⠀⠀⠙⠦⣀⠈⠳⡄⠀⠀⠀⠀⠀⠹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢦⡀⠀⣀⡼⠷⣬⣙⣀⣀⣠⠴⠛⠉⠉⠀⢸⣿⣿⣿⣿⡟⠀⠀⠀⠀⢀⣸⡏⠻⣿⡿⡄⠀⠀⠀⠀⠘⠋⠁⠀⠀⠀⠀⠀⠈⠙⠒⠿⢦⡀⠀⠀⠀⠀⠈⠧⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⣽⠛⢁⣠⣀⡈⢻⡽⠋⠀⣀⡤⠀⠀⠀⢤⡷⣿⡏⢸⠀⠀⠀⠀⠀⡟⠁⠙⠢⣿⡷⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⢠⡍⠲⢤⣀⠀⠀⠀⠈⢑⣶⠆⠀⠀⠀⠀ ⢼⠁⢠⠟⠀⠀⢩⠏⢀⡴⠋⠁⠀⠀⠀⠀⠀⠀⢻⡇⠸⡄⠀⠀⠀⠀⠳⣄⣠⠀⠁⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⣿⣿⣷⣴⡿⠁⠀⢦⡈⢻⡍⠉⠉⠉⠀⠀⠀⠀⠀⠀ ⣾⠀⢸⣄⡀⠀⣇⣰⠋⠀⠀⠀⠀⢀⠀⠀⠀⠀⠈⠿⣆⣙⣦⣄⣀⣀⡠⠞⠁⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠿⠛⠉⠙⠿⠯⠼⠀⠀⠀⠙⢦⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⠀⠘⣄⠉⠛⢻⠃⠀⠀⢀⡤⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠓⠦⠤⣀⡀⣰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠰⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠸⠦⣀⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢳⣄⠈⠓⠒⡇⠀⢀⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡀⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠓⠢⠤⣇⣠⠎⠀⢠⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡖⠲⠦⢤⣤⣤⡤⠞⠙⢧⠀⡄⠀⠀⠀⠀⠀⠀⠀⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢺⡏⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡄⠀⠀⠀⠀⠀⠀⢳⣄⣰⠶⣄⠀⠀⡇⢠⢶⡾⠀⠈⢦⡀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⢀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠾⣇⣀⣏⡿⠋⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢣⣸⡇⠀⢰⠏⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⠀⢀⣀⡤⡴⠧⢤⣀⣀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠔⠚⠛⠚⢿⡇⠀⣼⠀⠀⠀⠀⠀⣰⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡼⣧⠔⣲⠒⠛⠓⠛⠳⠤⣀⡀⠉⠓⠢⢤⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⠊⣡⠤⠤⠤⢤⠀⢳⠀⡇⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠙⢷⡶⢤⣤⣤⡤⠶⠚⢉⣻⣽⡿⠯⠤⣤⣄⡀⠀⠀⠈⠙⠲⠀⠀⠀⠉⠲⣄⠀⠀⠀⠀⠀⠀ ⣰⠷⠋⠀⠀⠀⠀⠀⢀⣈⣷⣇⠀⠀⠀⢀⡏⣠⠶⠚⠉⠓⠲⢤⡀⠀⢀⡼⢳⡀⠀⠀⠙⢷⣠⠟⢷⠀⠸⣍⣨⡟⠀⠀⠀⠀⠀⠈⠙⠶⣄⡀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀⠀⠀⠀ ⠋⠀⠀⠀⠀⢀⡤⠞⠉⠁⠈⠹⣆⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⡭⠷⠊⠁⢈⡇⠀⠀⠀⠀⠉⠳⠦⣇⣀⣸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠘⢄⠀⠀⠀ ⠀⠀⠀⠀⣠⡟⠁⠀⠀⠀⡀⠀⠈⠧⣀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⢧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠿⠳⣿⠛⠓⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠀⠀ ⠀⠀⠀⠀⣿⠀⣠⠴⠒⡶⠃⠀⠀⠀⠈⠙⠒⠚⠃⠀⠀⠀⠀⠀⠀⠀⠐⠋⠀⠀⠈⠑⠲⢤⣀⡀⠀⠀⠀⢀⣸⣷⠒⠛⠀⠀⠀⠀⠉⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀ ⠀⠀⠀⠀⣿⡾⠁⢀⡾⠁⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠒⠚⢉⣥⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⡠⠀⠉⠁⠀⣼⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠶⠤⠶⠖⠉⡽⠀⠀⠈⠙⠲⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠇⠀⠀⠀⠀⢻⡀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠤⣀⣀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠈⠛⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⡆⠀⠀⠀⠀⠀⠙⢦⡀⠈⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠠⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡴⠒⠒⠒⠒⠒⠶⠦⠄⢹⣄⠀⠀⠑⠄⣀⡠⠤⠴⠒⠒⠒⠀⠀ ⢇⠀⠀⠀⠀⠀⠀⠐⠋⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀ ⠈⢆⠀⠀⠀⠀⡤⠤⣄⠀⠀⠀⠀⡤⠤⢄⠀⠀⠀⠀⠀⣠⠃⠀ ⠀⡀⠑⢄⡀⡜⠀⡜⠉⡆⠀⠀⠀⡎⠙⡄⠳⡀⢀⣀⣜⠁⠀⠀ ⠀⠹⣍⠑⠀⡇⠀⢣⣰⠁⠀⠀⠀⠱⣠⠃⠀⡇⠁⣠⠞⠀⠀⠀ ⠀⠀⠀⡇⠔⣦⠀⠀⠀⠈⣉⣀⡀⠀⠀⠰⠶⠖⠘⢧⠀⠀⠀⠀ ⠀⠀⠰⠤⠐⠤⣀⡀⠀⠈⠑⣄⡁⠀⡀⣀⠴⠒⠀⠒⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢯⡉⠁⠀⠀⠀⠀⠉⢆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣞⡄⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠆⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠋⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠐⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⡼⠇⠀⠀⠀⠘⡆⠀⠀⠐⠀⠀⠀⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠓⠢⢼⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⣠⠎⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠈⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⢀⡼⡇⠀⠀⠀⠀⠀⠀⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⢠⠞⠀⢹⡄⠀⠀⠀⠀⠀⠘⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⣰⠁⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⢹⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⢰⠋⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⢸⡁⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⡿⣯⡷⡴⢦⣤⡠⣶⡶⠀⢷⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⡾⠀ ⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⣼⣥⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⠀⠈⢧⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢀⡇⠀ ⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠉⠙⠻⢿⣿⣿⣿⣿⣿⣿⠛⢦⠀⠀⢸⡇⠀⠀⠀⠀⠀⢸⡇⠀ ⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⠳⠀⢳⡀⢹⡇⠀⠀⠀⠀⠀⡾⡇⠀ ⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡿⠘⠀⠀⠹⣼⡇⠀⠀⠀⠀⢠⠇⠀⠀ ⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡿⠁⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⡾⠀⠀⠀ ⠀⠀⢠⡏⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠁⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⢸⠁⠀⠀⠀ ⠀⠀⡾⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⡟⠀⠀⠀⠀ ⠀⣴⠓⣾⣳⣀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠃⠀⠀⠀⠀⠀⠀⢸⡇⢀⠇⠀⠀⠀⠀ ⣾⠃⠀⠀⠀⠑⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠈⡇⢸⠀⠀⠀⠀⠀ ⠹⡀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣾⠀⠀⠀⠀⠀ ⠀⢳⡄⠀⠀⠀⠀⠘⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⣿⠀⠀⠀⠀⠀ ⠀⠀⣷⡄⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⡏⠀⠀⠀⠀⠀ ⠀⢀⡇⢹⣄⠀⠀⠀⠀⣀⠉⠓⠶⢄⡀⠀⠀⠀⠀⠀⢀⣠⠴⠋⠣⣄⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⣸⣧⠀⠀⠀⠀⠀ ⠀⣴⣿⠋⠘⣆⠀⢰⠶⠤⢍⣛⣶⠤⠿⣷⣦⡀⠒⠚⡟⠀⠀⠀⠀⠈⠛⠢⠤⡄⠀⠀⢀⡴⢯⠴⣳⠇⠀⠀⠀⠀⠀ ⠀⠀⠉⠀⠀⠘⢦⡈⠻⣖⠤⣤⣉⣉⣹⣯⣭⠉⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠛⣫⣼⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠑⣄⠉⢦⡀⠀⠀⠈⠉⠁⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢿⣷⢚⡝⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢶⣷⠇⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠷⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⢰⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢞⡀⠀⣄⠀⠀⠀⣀⠀⢷⠀⠀⠀⠀⠀⠀ ⢸⡇⠉⠳⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠒⠲⣄⠀⠙⠦⣀⠀⠀⠀⠀⢰⠾⣵⣋⢰⠇⡏⠓⣄⠀⠘⡄⣸⡄⠀⠀⠀⠀⠀ ⠈⣧⠀⠀⠀⠈⠙⠶⣄⣀⠀⠀⠀⠀⠰⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⡄⠀⠈⠳⣄⠀⣴⠣⠼⠉⢁⡏⠀⣃⠀⣀⠱⣄⢱⣿⣧⠀⠀⠀⠀⠀ ⠀⠸⡆⠀⠈⢷⣄⠀⠀⠉⠛⠶⢤⣀⠠⠌⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⡄⠀⢨⣿⠁⠀⠀⢠⠞⠀⢸⢻⠀⠈⠙⢻⣟⣸⣿⡆⠀⠀⠀⠀ ⠀⢸⢻⡀⠀⠀⠙⣇⠀⠀⠀⠀⠀⠈⠙⣓⣦⣌⢳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠊⠁⣠⢿⡇⠀⠀⣠⡿⠋⠀⠸⣿⠀⠀⢀⡞⠉⠀⠛⢷⠀⠀⠀⠀ ⠀⠀⡇⢧⠀⠀⠀⠘⢧⡀⠀⢀⣠⠶⠛⠉⠁⠀⠉⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣼⠋⣸⠁⠀⢴⠟⠁⠀⠀⠀⣏⠃⢀⡞⠀⠀⢰⠀⠸⡄⠀⠀⠀ ⠀⠀⠁⠘⣆⠀⠀⠀⠀⣡⡶⠋⠁⣀⣐⡤⠷⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣹⠃⠀⣿⠀⠠⠋⡿⢯⠁⠀⠉⠙⢀⡾⠀⠀⠀⢸⡇⠐⣇⠀⠀⠀ ⠀⠀⠀⠀⠙⡆⠀⠀⢘⡥⠶⠚⣹⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⣿⠀⠀⡼⠁⠸⡆⠀⠀⠋⠿⢧⣀⣀⡀⢸⠀⠀⢸⡀⠀⠀ ⠀⠀⠀⡄⠀⠹⡆⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⢻⡀⠾⠁⠀⠸⢿⡀⠀⢀⡟⠓⠒⢶⠀⡏⠀⠀⠘⡇⠀⠀ ⠀⠀⠀⢱⠀⠀⢹⡄⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠈⠛⢦⣄⢄⠀⠀⠁⢀⣸⡇⠀⠀⢻⠸⠁⠀⠀⠀⣷⠀⠀ ⠀⠀⠀⠘⡄⢀⠀⢻⣠⡞⠁⢀⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠈⠛⠳⣤⠀⠈⣿⡇⠀⠀⣿⠀⠀⠀⠀⠀⢹⠀⠀ ⠀⠀⠀⠀⢻⠀⠃⢨⡟⠀⠰⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⣠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⢿⣇⠀⠀⣿⠀⠀⠀⠀⠀⢸⣾⠀ ⠀⠀⠀⠀⠀⣇⢠⠏⠀⠀⠀⠀⠀⣀⠀⠀⠴⠶⣦⠀⠀⠀⠀⠀⢀⣠⠞⣁⣴⠞⠉⠀⢀⣠⣤⣶⣶⣶⣶⣦⣤⣀⠀⠀⠀⠀⠘⣾⠝⠆⠀⣇⠀⠀⠀⠀⠀⢸⡏⠀ ⠀⠀⠀⠀⠀⣸⡇⠤⠤⠐⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣻⠵⠞⠉⠀⠀⢠⣾⡿⠟⠋⠁⠀⠀⠀⠓⠚⢿⣇⠀⠀⠀⠀⠙⣆⠀⠀⣿⠀⠀⠀⠀⠀⢸⢃⡄ ⠀⠀⠀⠀⠘⠻⣦⣤⣤⣤⣀⣀⣰⡶⢶⣦⢢⣤⣶⠾⡿⠋⠉⠀⠀⠀⠀⠀⠀⢀⡟⣥⣴⣲⣾⣽⣷⣶⣶⣶⣦⣤⣽⢀⣤⣀⣀⠀⠘⠀⠀⠘⢷⡀⠀⠀⠀⢼⣿⠁ ⠀⠀⠀⠀⠀⢠⣿⣯⠽⠒⠃⠺⣿⣷⠀⠀⣘⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⢶⣾⣿⠟⢙⣯⣿⣿⣿⣿⢿⣿⢃⡟⠀⠀⠈⠉⠉⠒⠶⣤⣄⣙⢆⡀⠀⣼⠃⠀ ⠀⠀⠀⠀⠀⠈⢿⠀⠀⠀⠀⢰⠋⣿⣆⢰⡟⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⣸⠛⠃⠀⢿⣿⠙⢿⣿⣸⠟⣱⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⢻⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⢀⣿⠀⠈⢻⣷⣷⣜⠇⣸⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡇⠀⠀⠀⠈⣻⣤⠴⠛⣥⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢴⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠐⣜⣆⠀⠸⣟⠀⠀⠀⠙⠻⠽⣿⡿⠄⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡶⠒⢿⣉⣩⠭⠝⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣚⣤⣀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⣟⣆⢀⠙⣆⠀⠀⠀⢠⠔⢁⡴⠁⣠⠆⠀⠀⠀⠀⠀⢀⡼⠚⠉⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⣠⡴⢞⣿⠛⠉⡽⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣦⠓⠚⣧⡴⠛⢁⡴⢋⣠⣾⡏⠀⠀⠀⠀⠀⣰⠎⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠚⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡿⠁⢀⡼⡕⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⡽⣏⣥⠞⠉⢀⣴⣿⣶⣿⣿⣿⣇⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⣴⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣡⠟⠁⢀⣾⠟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣀⣀⣷⣴⠃⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⣜⡽⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠃⢀⣠⡾⠃⠤⢤⡄⠀⠀ ⠀⠀⠀⠀⠀⠈⢿⡋⠉⠉⢻⡇⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡽⠃⠀⠀⠀⠀⠀⠀⢀⣠⠞⣡⡴⠚⠁⠀⢀⡴⠋⠀⠀⣠⠏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⣄⠀⠀⢻⡀⠀⠈⠻⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⣀⡤⠖⠊⢙⣵⠞⠁⠀⠀⣠⢶⡟⠁⠀⣀⡾⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⣯⡃⠀⢳⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠖⢁⡴⠋⠀⢀⣤⠖⠋⠁⢀⣠⠴⠋⠀⠀⣀⣀⡴⢞⠉⠀⣀⣾⡿⠏⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠐⢶⣶⣾⠷⠀⠈⠻⣶⣶⣿⣿⣿⠿⣶⣦⣄⣒⣀⣀⣊⣉⣠⠶⠋⣀⡴⠞⠉⠀⢀⡠⠖⠋⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⢀⡼⢋⡒⠲⢦⣤⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⢷⣄⣀⡀⠀⠸⣿⣆⣹⠻⣃⣶⡿⠿⠋⠁⠀⠀⠀⣠⠴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠉⠛⠛⠛⡹⠋⠀⣠⡾⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⢺⣯⡄⠀⢀⠈⠹⣟⡟⠋⠉⠀⠀⠀⣀⣠⠴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⠄⠀⠚⠓⠲⣾⣉⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣄⡀⠙⣯⣻⠆⠀⠀⠀⠀⠀⠙⢻⣷⣒⠒⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠞⠁⠀⠀⠀⠀⠀⢀⣈⣿⠿⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⣍⠑⠺⢿⣆⠀⠀⠀⢠⣀⣀⣈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢻⣷⡚⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠱⣿⣆⠀⠈⡏⢦⢀⠀⠀⢧⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠓⠀⠀ ⠀⠀⠀⠀⠀⠀⢈⠝⠻⡟⠂⢦⠘⠌⢣⠑⠄⠸⣧⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⣿⠿⣟⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣏⡏⠀⠀⠀⢣⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣟⠧⠤⠤⠔⠋⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⡀⢀⣶⠤⠒⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠈⢿⣆⣠⣤⣤⣤⣤⣴⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⢿⢿⠀⠀⠀⢀⣀⣀⠘⣿⠋⠁⠀⠙⢇⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⢇⡞⠘⣧⠀⢖⡭⠞⢛⡄⠘⣆⠀⠀⠀⠈⢧⠀⠀⠀⠙⢿⣄⠀⠀⠀⠀ ⠀⠀⣠⣿⣛⣥⠤⠤⢿⡄⠀⠀⠈⠉⠀⠀⠹⡄⠀⠀⠀⠈⢧⠀⠀⠀⠈⠻⣦⠀⠀⠀ ⠀⣼⡟⡱⠛⠙⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠹⣧⡀⠀ ⢸⡏⢠⠃⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠸⣷⡀ ⠸⣧⠘⡇⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⣿⠇ ⠀⣿⡄⢳⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠈⠆⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀ ⠀⢹⡇⠘⣇⠀⠀⠀⠀⠀⠀⠰⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⣼⡟⠀⠀ ⠀⢸⡇⠀⢹⡆⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢳⣼⠟⠀⠀⠀ ⠀⠸⣧⣀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⢃⠀⢀⣴⡿⠁⠀⠀⠀⠀ ⠀⠀⠈⠙⢷⣄⢳⡀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⣠⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⢿⣷⣦⣄⣀⣀⣠⣤⠾⠷⣦⣤⣤⡶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

-⃝⃤ 𓃦⨺⃝𖦹𓍊𓋼𓍊𓋼𓍊⋆˚🐾˖°𓃥☪︎ ִ ࣪𖤐 𐦍 ☾𖤓𓃠༺☆༻-⃝⃤🐈‍⬛🐾𓃢𖡼𖤣𖥧𖡼𓋼𖤣𖥧𓋼𓍊✩°｡⋆⸜ 🎧✮/ᐠ - ˕ -マ𓆣𓃮★彡𓃦 ⋆｡° ✮𖤐:3꒰ᐢ. ̫ .ᐢ꒱☆⋆｡𖦹°‧★꒰✿´ ꒳ ` ꒱♡ʕ•ᴥ•ʔﾉ♡₍ᐢ._.ᐢ₎♡ ༘(𓁹 𓁹)✰𓃠: -⃝⃤ :𓃠✰𓍊𓋼𓍊𓋼𓍊 𓍊𓋼𓍊𓋼𓍊☆ ★ ✮ ★ ☆🐾 -⃝⃤🐾-⃝⃤🐈‍⬛🐾*ੈ♡⸝⸝🪐༘⋆⨺⃝ NAME ⨺⃝𓆏‧˚꒰🐾꒱༘⋆˗ˏˋ 𓅰 ˎˊ˗⨺⃝ 🪶🌿🍃❦therian☽𖠄𓃦꒷꒦꒷꒦꒷꒦꒷꒦꒷꒦꒷𓆝𓆟𓆞𓆝𓆟૮꒰ ˶• ༝ •˶꒱ა ♡☆ ★ ✮ ★ ☆꩜≽ ^ • ⩊ • ^ ≼✩₊˚.⋆☾⋆⁺₊✧🍃⃝⃤🦊🐾『𝐫𝐚𝐰𝐫』 🐾☪︎ ִ ࣪𖤐 𐦍 ☾𖤓𓃢⛥╶⃝⃤-⃝⃤╺⃝⃤⨺⃝𓍊𓋼𓍊𓋼𓍊✮🦋⃤♡⃤🌈⃤🐾🕸🍂🍄🪶𖡼𖤣𖥧𖡼𓋼𖤣𖥧𓋼𓍊🅜🅔🅞🅦⚝𖤐⨺⃝☾⋆｡𖦹 °✩✩₊˚.⋆☾⋆⁺₊✧✿𑁍𓆩♡𓆪𓆑•ﻌ•☘️🌱☘🍂🍁🍂✨✮🐾🪴̤̮ㅤᵕ̈〰⟡🌳❦₊˚ʚ ᗢ₊˚✧ ﾟ.✧𖡼𖤣𖥧𖡼𓋼𖤣𖥧𓋼𓍊𓍊𓋼𓍊𓋼𓍊🪶🌿🍃🌿๋࣭ ⭑♪°❀⋆.ೃ࿔*:･🪶↟🦋𓇢𓆸₊ ⊹૮₍˶Ó﹏Ò ⑅₎ა꩜૮ ˙Ⱉ˙ ა rawr!/ᐠ. ｡.ᐟ\ᵐᵉᵒʷˎˊ˗°❀⋆.ೃ࿔*:･⋆˖⁺‧₊☽◯☾₊‧⁺˖⋆☾🐺☪︎ ִ ࣪𖤐 𐦍 ☾𖤓𓆈༄₊˚ʚ ᗢ₊˚✧ ﾟ.⋆˚🐾˖°‧˚꒰🐾꒱༘⋆★✮⋆˙𓍢ִ໋🌷͙֒₊˚*ੈ♡⸝⸝🪐༘⋆𓆲⭒‧₊˚🖇️✩ ₊˚🎧⊹♡☆⋆｡𖦹°‧★ﮩ٨ـﮩﮩ٨ـ♡ﮩ٨ـﮩﮩ٨ـ⚝🪼⋆.ೃ࿔*:･☆⋆｡𖦹°‧★-⃝⃤

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠴⠒⠒⠒⢒⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠁⠀⢀⣀⣀⣀⡀⠀⠀⢧⠀⠀⠀⠀⠀⡴⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣰⠿⠒⠋⠉⠉⠀⠀⠀⠈⠉⠓⠾⢄⣀⠀⠀⢠⡇⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣩⠏⠉⠒⢒⣲⡤⠤⣀⣀⠀⠀⠀⠀⠀⠈⠑⢤⡘⡄⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀ ⠀⠀⠀⠀⠀⢰⠾⣣⠴⠚⠉⠉⠀⠀⠀⠀⠀⠉⠓⠀⠀⠀⠀⠀⠀⠙⣧⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⣔⡿⡍⡇ ⠀⠀⠀⠀⠀⢸⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠆⠀⠀⢳⡀⠀⠀⠀⠀⠀⣀⡤⠞⠋⣡⠞⠉⠀⣇⡇ ⠀⠀⠀⠀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠴⠒⠛⠓⠚⠉⠉⠉⠁⠀⣴⡟⠁⠀⠀⠀⣿⠁ ⠀⠀⠀⣼⣁⣠⡤⢴⠖⠒⠒⠦⠤⢴⣶⣢⠤⠤⠔⠚⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣞⡞⠀⠀⠀⠀⢰⢿⠀ ⠀⠀⠀⠉⠉⢙⣦⠞⠀⡠⠞⠉⢉⡷⡄⠉⢙⡶⠃⠀⠀⠀⢀⣠⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡎⡼⠀⠀⠀⠀⠀⡜⡞⠀ ⠀⠀⠀⣤⡖⠛⠀⠀⡜⠁⠀⡴⢋⣀⣹⣠⠋⠀⠀⠀⠀⣰⣿⠿⠛⠛⠿⣿⣷⣄⡀⠀⠀⠀⠀⠀⡼⢰⠃⠀⠀⠀⠀⡼⢱⠃⠀ ⠀⢀⣴⠛⠀⠀⠀⢼⠁⠀⣼⢁⣿⡬⣿⠃⠀⠀⠀⠀⠐⠋⠁⠀⠀⠀⠀⠀⠙⢿⣷⣄⠀⠀⠀⣸⢃⡏⠀⠀⠀⢀⡜⢡⠏⠀⠀ ⠀⠸⡿⠀⠀⠀⠀⢻⡀⠀⠀⠀⠉⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⠁⣀⡜⠁⡼⠀⠀⠀⡠⠋⣰⠋⠀⠀⠀ ⠀⠀⣧⠀⠀⠀⠀⠈⢳⣀⣙⣦⡤⠋⠀⠀⠀⠀⠀⠀⠀⣰⠄⠀⠀⠀⠀⠀⠀⢤⠀⣹⠌⢩⠏⢠⣇⣠⠴⠊⢀⡼⠁⠀⠀⠀⠀ ⠀⠀⠘⡆⢀⡴⠖⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠘⢧⣤⣾⣷⣿⣿⣿⣷⣦⡀⠀⢸⠀⠻⣾⠉⠀⠀⠀⠀⢀⣠⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡟⣥⠤⠦⠤⠤⢤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠉⠛⠿⣿⣿⣄⣸⠀⠈⠻⣇⠀⢀⣀⠤⠟⠓⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⡆⢧⡀⠀⠀⠀⠀⠀⠈⠙⠲⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⣸⡍⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢳⡄⠙⢦⡀⠀⠀⠀⣀⡤⠞⠁⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢦⣀⣉⣷⡚⠉⠀⠀⠀⠀⠀⠀⠀⢀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣦⣴⠚⢁⡾⠋⠉⠳⢤⣀⢀⣀⣀⣠⠔⠋⠀⠀⠀⠀⠀⠀⣀⣠⠤⠖⠋⠁⢀⣺⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⣷⡇⠀⡞⠀⠀⠀⠀⠀⡼⠋⠉⠁⠀⠀⣀⣀⠤⠴⠒⠊⠉⠉⠀⠀⠀⠀⠀⣼⣿⠻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢯⡛⢦⡀⠀⠀⠀⢀⡾⠥⠤⠔⠒⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡆⣸⣹⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡿⠀⢹⣶⣶⣖⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡿⠿⠉⠉⠋⠀⠀⠉⠙⠶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠹⢤⣀⣀⣀⣀⣀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠢⣄⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠙⠋⠩⠿⢿⣁⠀⠀⠀⠀⠀⠀ ⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀⠉⠑⠶⢤⣀⣀⣠⣴⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣅⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠂⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀⠀⠀⠀ ⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣤⣤⣶⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠛⠉⠙⠛⠛⠛⠛⠻⢿⣿⣷⣤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠋⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠈⢻⣿⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⣿⡏⠀⠀⠀⣠⣶⣾⣿⣿⣿⠿⠿⠿⢿⣿⣿⣿⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠁⠀⠀⢰⣿⣿⣯⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣷⡄⠀ ⠀⠀⣀⣤⣴⣶⣶⣿⡟⠀⠀⠀⢸⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⠀ ⠀⢰⣿⡟⠋⠉⣹⣿⡇⠀⠀⠀⠘⣿⣿⣿⣿⣷⣦⣤⣤⣤⣶⣶⣶⣶⣿⣿⣿⠀ ⠀⢸⣿⡇⠀⠀⣿⣿⡇⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀ ⠀⣸⣿⡇⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠉⠻⠿⣿⣿⣿⣿⡿⠿⠿⠛⢻⣿⡇⠀⠀ ⠀⣿⣿⠁⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⠀⠀ ⠀⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀ ⠀⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀ ⠀⢿⣿⡆⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀ ⠀⠸⣿⣧⡀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠃⠀⠀ ⠀⠀⠛⢿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⣰⣿⣿⣷⣶⣶⣶⣶⠶⠀⢠⣿⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⣿⣿⡇⠀⣽⣿⡏⠁⠀⠀⢸⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⣿⣿⡇⠀⢹⣿⡆⠀⠀⠀⣸⣿⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⣿⣦⣄⣀⣠⣴⣿⣿⠁⠀⠈⠻⣿⣿⣿⣿⡿⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠿⠿⠿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⢤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠁⡘⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠏⠀⢘⡷⣝⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣧⡀⠀⠀⠀⠀⢀⡏⠀⢠⡟⠁⠙⣆⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡈⠛⠶⢤⣀⠀⣼⠁⠀⡞⠀⠀⠀⠸⡆⠀⠙⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣷⣄⡀⠀⠈⠉⡟⠀⣼⠁⠀⠀⠀⠀⢿⠀⠀⠈⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠛⠉⠀⠈⠙⠳⠄⠀⡇⠀⡏⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⢻⡻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⣿⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⣧⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⢀⣤⠄⠀⠀⠀⠀⠈⣧⠹⣦⡀⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⣠⡾⠉⠀⠀⠀⠀⠀⠀⠀⢸⠀⠈⠛⠶⢄⣀⠀⠻⣄⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⡶⠚⣩⠿⠿⣹⠷⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣸⢀⣠⢾⣿⠇⠀⠀⠀⠀⠀⡄⠀⠀⡾⠀⠀⠀⠀⠀⠈⠙⠛⠛⠃⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠶⠛⠁⠀⠀⠰⣏⢀⣴⢏⣤⣹⣦⠀ ⠛⠛⠛⠛⠛⠛⠉⠉⠛⠋⢠⡏⠘⣆⠀⠀⠀⠀⠀⣧⢀⡼⠁⢀⣄⡀⠀⠀⠀⠀⠀⢀⡶⢧⠀⠀⢀⣾⣷⠆⠀⠀⠀⠀⠀⠀⢀⣠⠶⠛⠁⠀⠀⠀⠀⣠⡤⣍⣹⡿⠋⠀⣻⣾⠀ ⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠙⢷⣄⡀⠀⠀⢸⡟⠁⢰⠏⠉⣿⠀⠀⠀⠀⠀⠘⢤⡾⠒⣫⣉⣏⢙⡇⠀⠀⣀⣠⡴⠒⠉⠀⠀⠀⠀⠀⠀⠀⢸⡋⠀⠉⢻⢹⡶⠾⣯⣿⠀ ⡀⠀⠉⠙⠓⠶⣤⣀⡀⠀⡇⠀⠀⠀⠀⠈⣽⠒⢦⣾⠁⠀⠘⢶⡼⠃⣤⣶⡿⠛⠀⠀⣴⡷⠛⠉⣉⣹⣿⣗⠚⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⡆⢀⣼⣿⣁⣴⡿⠃⠀ ⣷⡀⠀⠀⠀⠀⠀⠀⠉⠙⣇⠀⠀⠀⠀⠀⢳⣔⣆⣽⠇⠀⠀⠀⢰⣿⣿⠏⠀⢀⣠⠞⠁⠀⠀⠘⠛⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠁⢈⣽⠟⠀⠀⠀ ⢳⡻⣄⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⢀⣀⣄⣀⠀⠀⠀⢀⣀⣀⣉⣅⡤⠖⠛⠁⠀⠀⠀⠀⠀⠀⠀⢀⣠⣽⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠋⠁⠀⠀⠀⠀ ⠀⠻⣮⡛⠦⣄⡀⠀⠀⠀⢠⣿⡀⠀⠾⠿⠿⣿⣿⡇⠀⣾⡯⠼⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠋⠁⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠛⢦⣌⡉⠓⠲⠤⠼⣿⣭⣄⠀⠀⠀⢈⣽⠿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴ ⠀⠀⠀⠀⠀⠀⠉⠉⠉⠙⡿⠋⠁⠀⠀⠀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠉⠀⠀⠀⣀⣠⠴⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡆⢀⡴⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣇⣰⠖⠒⠀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠞⠹⣧⠴⠶⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⣿⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⢹⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠟⠉⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⣀⡿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠴⠒⠉⠁⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠈⠳⣤⣤⣀⣠⣤⡤⠖⠒⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣶⠦⠶⠒⠲⠦⢤⠤⠤⠖⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⠖⠛⣫⠿⠲⢤⣄⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣯⠴⢶⣟⠳⣄⠀⠈⠳⣦⡀⠀⠀⠀⢀⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⣼⣄⠀⣿⢦⠿⠀⠀⠀⠀⠙⢆⠀⢠⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣇⣙⣿⡟⠛⢳⡆⠀⠀⠀⠀⠈⠓⣞⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⢀⣤⠞⣣⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣰⣆⣀⡀⠳⡄⠀⠀⢤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⢧⠀⠀ ⠀⠀⢀⣤⠖⢋⣡⣾⣯⡀⠀⢀⣀⣤⡾⠗⠒⠚⠉⠉⠉⠁⠀⠀⠀⠉⠉⠉⠓⠲⢤⡛⣎⠙⠲⣄⡀⠀⠀⢠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠘⣇⠀ ⣠⡾⢋⣤⠾⠋⠁⠘⣯⡉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣉⡙⠷⠀⠀⠙⢶⣤⢿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⡄⢹⠀ ⣿⣶⠟⠀⠀⠀⠀⠀⣈⣿⣦⣄⣀⣀⡀⠀⠀⢣⡀⠀⠀⠀⠀⣀⡤⠖⠛⠉⠀⠀⠀⠀⠉⠓⠤⣄⡀⣰⠃⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⣧⢸⡇ ⠻⣿⣷⣶⣶⣶⣿⣟⣿⣿⣿⣿⠽⠛⠁⠀⠀⣀⠳⠄⠀⡠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠃⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠶⠿⢰⣿ ⠀⠈⠉⠙⠛⠛⠛⠋⢉⡿⠋⠁⠀⠀⣠⠖⠋⡁⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠋⣵⠋⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⢀⣶⢦⢹ ⠀⠀⠀⠀⠀⠀⠀⣠⡏⠀⠀⠀⢠⠞⠁⢀⡞⠁⢠⠏⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⣀⠀⢀⣾⠁⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠀⠸⣿⡾⢸ ⠀⠀⠀⠀⠀⠀⢰⠏⠀⠀⠀⣰⠏⠀⠀⢼⠆⠀⡟⠀⠀⠀⣀⣠⡴⠶⠂⠀⢀⣴⠾⠋⣠⣾⣿⢿⣿⣷⣦⡌⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⣾⡷⠶⠂⠀⢠⣿ ⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⣸⠋⠀⠀⢠⡏⠀⠀⠃⣠⢴⣻⠟⠉⠀⠀⣀⣴⠟⠉⣠⡾⢋⣿⠀⠀⠀⠈⠙⢿⣆⠈⠻⣄⠀⠀⠀⠀⢀⣾⠟⠀⠀⠀⢀⣾⡏ ⠀⠀⠀⠀⠀⢸⡟⠀⠀⣰⡏⠀⠀⠀⡞⠀⠀⢰⠟⣡⠟⠁⠀⠀⣠⣾⠟⢁⣤⠞⠋⠀⣼⣿⣴⣶⣤⣤⡀⠀⠻⡆⠀⠈⢣⡀⠀⣠⠟⠉⠀⠀⠀⣠⠟⣹⠁ ⠀⠀⠀⠀⠀⠈⢷⠀⢠⡿⠀⠀⡄⠀⠇⠀⢰⣏⡼⠃⠀⢀⣤⣾⣿⠷⠚⠉⠁⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣆⠀⢹⡀⠀⠈⢳⡼⠋⠀⠀⠀⣠⠾⠁⣰⠇⠀ ⠀⠀⠀⠀⠀⣀⠘⣆⢸⡇⠀⠀⡇⠀⠀⢰⣿⡿⠀⢀⣶⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡟⠛⢿⠈⢿⣆⠈⢷⡀⠀⠀⢻⠀⠀⠀⠀⠁⢀⣴⠃⠀⠀ ⠀⠀⠀⠀⠀⠻⠯⢽⣾⣿⡀⠀⢱⠀⢀⣾⡿⠁⣠⢿⡉⠿⠭⢾⠇⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣶⣦⠀⠘⣿⡀⠈⢷⡀⠀⢸⠀⠀⠀⢀⣠⠿⠵⣻⠇⠀ ⠀⠀⠀⠀⠀⠀⣠⡴⠛⢿⣷⡀⠈⣆⢸⡟⠁⢰⠋⠀⠙⣲⣶⣿⠶⣦⣤⣤⣀⡀⠠⣏⠮⣭⠿⠛⢿⡇⠀⠀⢻⡇⠀⠈⣷⡄⠘⡇⠀⠠⠛⢀⣠⡴⣋⣠⠀ ⠀⠀⠀⠀⣠⠞⠋⠀⠀⠀⢿⣷⣤⡈⢸⣧⢰⣏⣤⠴⠋⣿⣿⣿⣿⣿⣿⣿⣿⡟⠳⣽⡢⣤⣤⡴⠋⠀⠀⠀⣾⣧⠀⠀⢹⠀⢰⠇⠀⢀⣠⠾⠛⠛⢉⡟⠀ ⠀⠀⠀⡼⠋⠀⠀⠀⠀⢀⡟⠁⠈⠛⢮⣿⢿⡿⠉⠀⠀⠈⠻⣿⣿⣿⣿⡿⠛⠁⠀⠀⠙⠄⠀⠀⠀⠀⠀⠶⢿⣍⠀⠀⢸⠆⣼⣴⠞⠉⠀⣀⣤⣾⠟⠀⠀ ⠀⢀⣾⠤⢤⣴⠶⠆⠀⢸⢡⣤⣿⣷⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⢋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⢻⣶⣦⠀⠀⠙⠿⣄⣼⠛⠵⠯⢄⣀⠈⠙⣛⣓⡾⠃⠀ ⠀⢨⣤⡴⠋⠀⠀⠀⠀⢸⡈⠏⢿⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠃⣨⣿⣿⡆⠀⢹⣧⡀⠈⠛⢟⠉⠛⢿⡟⠋⠀⠀⠀ ⠀⠈⠛⢧⣄⡀⠀⠀⠀⠈⣧⣀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡈⠉⠉⣀⣰⣿⢣⣿⠀⠀⠀⠙⣦⣀⢳⡄⠀⠀⠀ ⠀⠀⠀⠀⠉⠛⢦⣔⡒⠂⠘⣷⠚⠋⣤⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠀⢸⣿⣿⢯⣿⠏⠀⠀⠀⠀⠘⣿⣄⢷⠀⠀⠀ ⠀⠀⠀⠀⠀⠺⢯⣥⣀⠀⠀⠈⠳⣄⣴⣄⠀⠀⠀⠀⠀⠈⠻⣿⡿⠛⠛⠛⣿⡿⠃⠀⠀⠀⠀⠀⠙⠟⠁⠀⢠⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⢸⠘⢿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠶⢦⣌⡻⣍⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣻⣿⡿⠛⣄⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⡟⠀⠀⠘⣿⡷⣄⠀⠀⢀⡞⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢲⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡤⠴⠺⣿⠟⠛⠯⠤⣄⣀⠀⠈⢷⢮⣷⣀⡾⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣟⠛⠳⣶⠤⣴⣶⠶⠶⡾⠟⠛⠉⠁⠀⠀⣸⣿⣄⠀⠀⠀⠀⠉⠙⠲⢼⠄⠉⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠶⠛⠹⣄⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠈⣳⣄⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣠⠴⢶⣾⠉⠉⠀⢘⠀⠈⢿⣶⣾⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠈⠹⢿⠿⣛⣿⣿⢷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡤⠞⣫⠵⣒⣿⠟⠁⠀⠀⠸⡇⠉⢙⣿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⢀⠿⠛⠉⠀⠀⠈⣽⣳⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣴⠋⠀⠺⠗⠋⠉⠄⠒⣶⠀⢀⣀⡼⣖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠛⠟⠁⠉⠳⢦⡀⠀⠀⠀⠀⠀ ⠀⢸⠃⠀⠀⠀⢀⠀⠈⠁⢩⠗⠒⠉⠁⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣭⣳⣄⠀⠀⠀ ⠀⢸⠆⠀⠀⠀⠀⠀⢀⣠⣎⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⡙⢿⣧⡀⠀ ⠀⢸⠀⠀⢀⡠⠤⢐⣫⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⣄⠀⠂⣿⡇⠀ ⠀⢸⡠⠜⣋⣤⡴⠀⣉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠄⠀⠈⣷⡀⢸⡇⠀

⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⡿⠗⠀⠠⠄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⡜⠁⠀⠀⠀⠀⠀⠈⠑⢶⣶⡄ ⢀⣶⣦⣸⠀⢼⣟⡇⠀⠀⢀⣀⠀⠘⡿⠃ ⠀⢿⣿⣿⣄⠒⠀⠠⢶⡂⢫⣿⢇⢀⠃⠀ ⠀⠈⠻⣿⣿⣿⣶⣤⣀⣀⣀⣂⡠⠊⠀⠀ ⠀⠀⠀⠃⠀⠀⠉⠙⠛⠿⣿⣿⣧⠀⠀⠀ ⠀⠀⠘⡀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡇⠀⠀ ⠀⠀⠀⣷⣄⡀⠀⠀⠀⢀⣴⡟⠿⠃⠀⠀ ⠀⠀⠀⢻⣿⣿⠉⠉⢹⣿⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠁⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣻⠟⠛⠛⠳⣯⡓⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣞⡿⠋⠀⠀⠀⠀⠀⠻⣮⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⢴⣿⣭⣭⣟⠶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡿⠁⠀⠀⠀⠀⡀⠀⠀⠘⢷⡹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⣻⠟⠁⠀⠀⠈⠻⢦⡑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣞⡾⠁⠀⠀⠀⠀⢠⡿⠀⠠⠀⠈⢷⡹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣸⣳⠏⠀⠀⠀⠀⠀⠀⠈⠹⣦⡓⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣞⣾⠁⠀⠀⠀⠀⢀⣿⠃⢀⠁⠠⡀⠈⣷⣹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣯⡟⠀⠀⠀⣤⠀⠀⠀⠀⠀⠈⠻⣮⡣⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⣼⠃⠀⠀⠀⠀⠀⣼⡟⢀⠠⠐⠀⢡⠀⠘⣷⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⣿⠃⠀⣴⠀⠹⣷⡀⠀⠀⠀⠀⠀⠈⢷⣜⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠏⠀⠀⠀⠀⠀⢰⣿⠀⠄⠂⠐⡈⠀⢃⠀⢹⣎⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡟⣿⠀⠀⠏⠀⡀⠻⣷⡀⠀⠀⠀⠀⠀⠈⢻⣌⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣏⡿⠀⠀⠀⠀⠀⠀⣸⡟⠀⠰⠀⠂⠡⢀⠸⡀⠈⣿⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣟⡏⠀⣠⠂⠐⠀⡀⠙⣿⡄⠀⠀⠀⠀⠀⠀⠙⣧⡳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠃⠀⠀⠀⠀⠀⠀⣿⠇⡂⠁⠄⡁⠐⠠⠀⢡⠀⠸⣏⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⡇⠀⣟⠀⠠⠁⠀⠄⡈⢿⣆⠐⠀⠀⠀⠀⠀⠈⢿⡜⢦⣀⣤⢴⣖⣶⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣿⠀⡇⠈⡐⠀⠌⠐⠠⠘⡆⠀⢿⣼⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⡇⠀⡯⠀⢂⠠⠁⠠⠀⠌⢿⣆⠀⠀⠀⠀⠀⠀⣀⣿⣾⡿⠛⠋⠉⠉⢹⡄⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⣠⣐⡀⠁⠌⠠⢁⠀⢣⠀⠸⣏⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⡇⠀⢃⠐⠀⠄⠠⠁⡐⠈⡈⣿⡆⠀⠀⢀⣴⠿⠛⠉⢸⡇⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⢟⠛⢻⡧⠐⠈⡐⠠⢀⠂⠆⠀⣿⣽⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⡇⠀⠀⠂⢈⠀⢂⠐⠀⢂⠐⢸⣧⠀⠀⠀⠀⠀⠐⠀⢸⡁⠀⠀⠀⠀⠈⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣧⣴⣤⡀⠂⢂⠀⡃⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⡇⠀⠀⠡⠀⠂⠄⠂⢡⣾⠿⠿⠿⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠋⠉⠉⣿⡇⠀⠡⠀⢸⠀⠈⣧⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡿⣿⠀⠠⠁⠐⠠⠐⠠⡘⢿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⢈⠐⠠⠈⠀⠀⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⠀⠀⡃⢀⠂⠀⣿⡿⠛⠿⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⢀⠈⠄⠐⡀⠀⢼⡾⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢿⣿⡇⠀⡇⠀⡀⠂⢹⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠈⠳⣄⡀⠀⢀⣾⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠈⢿⡄⠢⠐⠠⠀⠀⢸⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣧⠀⠰⠀⠠⠐⠀⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣾⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠘⢿⣄⠂⠐⠀⠀⣼⢧⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⣿⣿⠀⠘⠄⠐⠀⠌⢠⡿⠀⠀⠀⠀⣀⣤⣦⣶⣤⣴⠏⠀⣀⣤⣴⣶⣶⣶⣦⣤⡀⠀⠀⠙⢿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠜⣿⡀⠈⠀⢠⣿⣿⠁⢀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣿⣇⠀⠻⡀⠈⠀⣿⠃⠀⠀⢠⣾⣿⣿⡿⢿⣿⠏⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠉⢿⡛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠐⠘⣿⣀⣴⣿⣿⣿⣿⣿⣭⣟⢦⣀⣀⣀⠀⠀ ⠀⠀⠀⢻⣻⣆⠀⠱⣀⢩⣿⠀⠀⠀⠠⠟⠋⠁⠀⣰⠃⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⡟⠙⣿⣿⠁⠀⢹⣿⡿⠿⣯⡻⡆ ⠀⠀⠀⠈⢻⣻⣦⠀⠉⢸⡗⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠈⠛⠿⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀⣀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡶⠀⣿⣿⡀⠐⠈⢁⠠⠀⣼⣇⡇ ⠀⠀⠀⠀⠀⠙⢽⡷⣦⣽⡇⠀⠀⠀⠀⠀⠀⠀⢰⡇⢀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣝⣿⡼⣿⣧⡐⠈⣠⣤⢾⣫⠟⠁ ⠀⠀⠀⠀⠀⠀⠀⠙⢻⣿⠇⠀⠀⠀⠀⠀⠀⠀⢸⠇⠘⣧⠀⠀⠀⠀⠀⢀⣾⣧⣄⣀⢀⣀⣠⣾⠋⠀⠀⠀⠀⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣻⡇⠀⠘⢿⣿⣛⡿⠷⠋⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡾⣿⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠈⠳⣶⣤⡴⣾⢿⡹⢮⡝⣯⢻⣽⣿⣿⣄⠀⠀⠀⠀⠀⠀⠉⠓⠦⣤⣄⣀⣀⣠⣤⠿⢻⡞⣷⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⣷⣿⠀⠀⠀⠀⠀⣀⡴⠋⠀⠀⠀⠀⠀⠹⣷⡹⣎⢷⡹⢧⣻⣼⠿⣿⣄⠉⠙⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣽⣧⣤⣀⣀⣠⡴⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⣯⣞⣭⣻⣟⣷⡀⢀⠛⢿⡄⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣶⣶⣶⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢿⣿⡿⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠛⠻⣧⡈⠐⢈⣡⣾⠏⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣯⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⢿⣓⣶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠛⠋⠁⠀⠀⠀⠀⠀⠀⠶⠛⠉⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣺⣿⣿⣻⢦⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣧⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣾⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠛⣯⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣷⡿⠀⠘⠻⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⢿⣸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡇⠀⠀⠖⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢶⠀⠀⢸⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠒⠒⠒⠖⠶⠦⠤⠤⢤⡤⣤⠤⣤⢤⡤⣤⢤⡤⠤⠤⠤⠴⠶⠒⠒⠒⠒⠊⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⢿⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⡿⣽⣻⡽⢯⡿⣽⣫⡟⣽⣫⢟⣽⢫⡟⣽⢫⡟⣭⡻⣭⢻⡭⢯⡽⣭⢯⡽⣭⠻⣜⡣⢟⣜⡣⢟⡜⣣⢛⡜⣣⢛⡜⣣⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⡱ ⣿⣷⣻⣟⣾⣳⢿⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⡷⣯⣟⡷⣯⡽⣯⢷⣏⡷⣽⣣⢯⣟⢮⣯⢽⣚⡷⣹⢧⣻⡜⣧⣛⢧⡻⣜⢮⡳⣭⢻⡔⣏⡳⢎⡝⢮⠼⣱⢫⠼⣱⢫⡜⡱⢎⠶⡱⢎⠶⡱⢎⠶⡱⢎⠶⣙ ⣿⢿⣽⡾⣷⣟⣯⢿⡾⣽⣻⢾⣽⣻⢾⣽⣻⢾⣽⣻⣞⣯⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣽⣻⢾⣽⣻⢾⣽⢾⣯⢷⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⢯⣟⡷⢯⣟⡷⣻⣵⡻⣾⣱⢷⣫⠷⣞⢯⡞⣧⢟⡼⣏⢷⣣⢟⡵⣫⢞⡽⣎⢷⡹⣞⢣⡞⣱⢭⡛⡼⣙⡞⣥⣋⢗⣣⠳⣜⡹⢎⡳⣙⢎⡳⣙⢎⡳⣙⢮⡹⣒ ⣿⣯⣷⢿⣳⣯⣟⣯⡿⣽⢯⣿⢾⣽⣻⢾⣽⣻⣞⡷⣯⢷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⢯⣷⣟⡿⣞⡿⣞⣯⡿⣞⣷⣻⣞⣷⣻⣞⣷⣻⣾⣽⣿⣾⣿⣿⣾⣿⣷⣿⣷⣯⣟⣾⣭⢿⡹⣾⣹⢮⣏⢷⣫⢞⡵⣫⢷⡹⣎⢷⡹⣎⠷⡭⢮⡕⣏⠶⣹⢱⢣⠞⡴⣩⠞⡴⣋⠶⣙⢮⡱⣍⢮⡱⣍⢮⡱⡍⢶⣑⢣ ⣿⡾⣽⡿⣽⡾⣽⣳⡿⣯⣟⣾⣻⢾⣽⣻⣞⡷⣯⢿⡽⣯⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⢾⡽⣟⣾⣽⣻⡽⣟⣯⣷⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣧⣛⡾⣼⢣⡟⣮⢳⡝⣮⢳⡝⣮⠳⣭⢛⡼⢣⢞⡬⡳⣍⢎⢧⡛⡴⢣⡛⡴⣍⢞⡱⢎⡵⣊⠶⡱⢎⡖⣱⡙⢦⡍⡖ ⣿⣻⣽⣟⡷⣟⣯⡷⣟⡷⣯⢷⣻⣟⣾⣳⢯⡿⣽⢯⣟⡷⣯⢷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⢾⡽⣯⣟⣯⡷⣯⣷⣟⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣵⣫⢞⡵⣏⢾⡱⢯⡞⡵⣛⢦⣛⡼⣍⠾⣰⠳⡜⣎⠶⡹⣜⢣⡝⡲⣍⢮⡱⢫⠴⣩⠞⣡⠳⡜⡥⣚⢥⡚⡜ ⣿⣽⣳⣯⣟⣯⡷⣟⣯⢿⡽⣯⢷⣻⢾⡽⣯⢿⣽⣻⢾⣽⣻⢯⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⢾⡽⣯⢿⡽⣞⣯⢿⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⡽⢮⡝⣧⡛⣵⡩⢖⣣⠞⣬⠳⣥⢛⡼⣌⢳⡱⢎⢧⡚⡵⣊⠶⣉⢧⢛⡤⣛⠴⣋⠼⡱⡜⣆⢧⡙ ⣿⢾⣽⡾⣽⣳⣟⣯⣟⣯⢿⡽⣯⣟⣯⢿⣽⣻⢾⣽⣻⢾⣽⣻⡞⣷⣻⣞⣷⣻⣞⣷⣻⢾⡽⣯⢿⡽⣯⣟⣯⣟⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣣⢟⠶⣙⢦⡛⡵⢪⡝⢦⡛⡴⣋⠶⣩⢖⡹⢎⠶⡹⠴⣩⠞⡱⢎⡣⠞⡴⢋⡼⣡⠣⡵⣈⠦⣙ ⣿⢯⣷⣟⣯⡷⣯⣷⣻⣞⣯⣟⣷⣻⣞⡿⣾⣽⣻⢾⡽⣻⡞⣷⡻⢷⣛⣾⣳⣟⣾⣳⣯⡿⣽⢯⡿⣽⣳⣟⡾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣟⣿⢻⡽⢺⡝⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⢯⡹⣆⠻⣜⢣⠞⣥⢛⡴⣩⢞⡱⢎⡵⢋⡞⣱⢋⠶⣉⠷⡩⢞⡱⣘⠣⢖⡡⢓⡴⣉⠖⣡ ⣿⣻⢷⣻⡾⣽⢷⣯⢷⣻⢾⡽⣞⡷⣯⣟⣷⣳⢯⣟⢾⣳⢟⣳⣟⣯⣟⣾⣳⡽⣞⡷⣯⢿⡽⣯⣟⣷⣻⣞⣿⣿⣿⡟⢥⠲⡝⣾⣟⣿⣿⣻⣿⣟⣿⣯⢿⣞⣷⣻⣽⣚⠷⣘⢧⡚⡕⢦⢫⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣲⢣⡭⢳⢬⢣⡛⡴⣋⠶⡱⢎⡵⢋⡜⣣⠞⡥⢫⡜⡱⢎⡱⢎⠴⢣⡙⢦⡙⢦⠱⣌⠚⡤ ⣿⣽⣻⢷⣻⢯⣟⡾⣯⣟⣯⢿⣽⣻⢷⣻⢮⣽⣳⢯⣻⣭⡟⣷⣞⣳⣞⡷⣯⢿⡽⣽⣏⣯⣟⣷⣻⣞⣷⣻⣿⣿⠫⠄⣉⣳⣽⣼⣿⣿⣿⢿⣟⣿⢯⣟⡿⣞⣷⡳⢞⡜⢢⠏⡖⡩⢞⡥⣛⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢣⢞⡱⢎⢧⡙⢶⡩⢞⡱⣋⠶⣩⠞⣡⠞⣱⠣⡜⡱⢊⠖⡩⢎⡱⡘⠦⡑⢎⡱⢌⡓⡔ ⣿⢾⣽⣻⣯⢿⣽⣻⢷⣻⣞⣯⢷⡯⣟⣞⡿⣼⢏⣯⢷⣳⣻⣳⣞⢷⣫⣟⡷⣯⣟⢷⣻⢮⡽⣞⣷⡻⣞⣿⣿⠁⠳⢾⣧⣽⣞⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⡿⣿⡝⣮⢞⡳⣎⠳⡵⢊⡴⢻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢮⠳⣍⠶⣙⢦⡙⣎⠵⣊⠗⡱⢎⡱⣊⠥⡓⣬⢱⡉⢎⡱⢊⠴⣡⠣⣙⠢⡑⠦⡱⢌ ⣿⢯⣟⡷⣯⣟⣾⡽⣯⢷⣻⣞⣯⣽⣻⣼⣛⣾⣛⡾⣏⡷⣏⡷⣞⣯⢷⢯⡽⣶⢯⣛⣧⢿⡽⣳⢾⣽⣻⣿⠃⢉⡷⣿⣹⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣯⡿⣯⢟⡞⣞⡳⣜⣫⡑⠳⠾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢌⡳⢬⢳⡩⢖⡹⡸⡜⡡⢏⡕⢎⡱⣉⠖⡱⢢⠱⡘⠦⡑⣍⠲⢄⠳⣄⢣⡙⢆⡱⢊ ⣿⣯⢿⡽⣷⣻⣞⡿⣽⢯⣷⣻⢮⢷⣳⣳⠿⣜⣯⢷⣏⡿⣽⣹⢯⣞⣯⢯⣟⡾⣽⣛⣾⣫⡽⢯⣷⣫⣿⡟⢠⣯⣄⢿⣿⣿⣿⡧⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡱⢦⡝⢳⡒⠦⡄⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⡱⣋⠶⣙⢎⡵⢱⠱⣙⠲⡘⢎⡱⢌⢎⡑⢣⠱⣡⢣⡑⠦⡙⣌⢃⢆⠣⡜⠢⣅⠣ ⣿⣞⣿⡽⣷⢯⡿⣽⣻⣟⡶⣯⢟⣯⣗⡯⣿⠽⣞⣯⢾⣝⡧⣟⡧⢿⣜⡯⢾⡽⣞⡽⣶⢏⣿⣛⡶⣯⣿⠇⠿⢱⣿⢸⣿⣿⣡⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣎⠧⡝⢲⠱⣌⡠⢘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠳⣍⢞⡱⢎⠴⣋⢜⣢⡙⡱⢣⠜⡌⠦⣙⢂⠳⡐⠦⣑⢣⠱⡌⠎⡜⢢⡑⢣⠆⢣ ⣿⡾⣽⣻⡽⣯⣟⣷⣻⠾⣝⣳⣟⣞⡾⣽⢞⡿⣽⣺⣝⣮⡽⣞⡽⣏⡾⣝⣯⠾⣽⣹⢞⣟⣮⢿⣱⢯⣿⠀⣐⡊⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣜⢣⠷⢤⡡⠉⠆⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡎⡵⣊⢮⡱⢍⡲⢩⡒⢤⢣⡑⢣⠚⢬⡑⢢⢍⠲⣉⠖⡡⢎⠱⡘⡜⣠⠣⣘⢂⢎⡡ ⣿⡽⣷⢯⣟⣷⣻⢾⣽⣻⡽⣳⢾⣝⡾⣭⢿⣹⢧⢷⢾⣱⡟⡾⣵⢏⣷⢻⡼⣻⡵⢯⣾⣹⢮⣯⣻⣿⣧⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣶⣭⡞⢣⢏⣬⡱⡌⢒⡠⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡜⢲⠍⣦⠱⡎⡜⣡⠚⡔⢢⡙⢢⡙⢦⡘⢥⢊⠵⡨⠜⡐⢎⠱⡐⢆⡡⢒⡡⢊⠴⡐ ⣿⣳⣟⡾⣽⢯⣟⡾⣽⣫⢷⣻⣞⣽⣳⣛⣞⢯⣞⠾⣼⢏⣷⡳⡽⣞⡽⣞⢧⡿⣱⠾⣭⡟⡾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠾⢞⡩⣇⠣⠌⡑⢺⣿⣿⣿⣿⣿⣿⣿⣿⢟⣿⣿⣿⡑⢎⡴⢩⡒⢥⠣⣍⠲⣑⠪⡑⢎⡱⢨⠱⡌⢚⠤⢃⠲⡑⡌⢆⠓⡌⢃⠎⡱⠘⡄⢣ ⣿⡽⣞⡿⣽⣻⢾⣽⣳⢯⣟⡵⣞⣧⢷⡻⣼⢏⣾⢻⡽⣺⢧⢿⣹⢾⣹⡞⣯⠾⣝⡯⣗⢿⡿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣖⣿⢯⢀⢒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡶⡷⣎⠷⣤⢓⡒⣩⢒⣿⣿⣿⣿⡟⡹⠋⢴⣆⡘⣿⣷⣏⢲⡘⢥⡙⢆⠳⣨⠱⠌⡥⣙⠢⣅⠣⢃⠍⡆⠣⠍⠦⡑⠌⡌⠱⡈⠆⡜⢠⠃⡜⢠ ⣿⡽⣯⣟⡷⣯⣟⡾⣵⣻⠾⣽⣻⡼⣳⢏⣷⢻⢮⣏⡷⣏⢿⡺⣽⣚⣧⢟⣧⢿⣹⢾⣹⢾⣹⢟⡿⢥⣼⣿⣿⣿⣿⣿⣿⣿⣿⢳⠚⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣭⡛⠿⡵⣉⠞⣩⠳⢦⡀⢎⣽⣿⣿⣿⣇⢠⣅⠮⠿⢿⠿⣿⣗⠦⣙⢢⡙⣌⠳⣄⠫⡜⡰⢡⠣⡔⢩⢊⠜⡰⢩⠘⡰⢁⠞⡄⢣⠑⡌⠔⡡⢊⠔⡡ ⣿⣽⣳⣯⣟⡷⣯⣟⣳⣽⢻⣳⣭⠷⣏⣟⡮⣟⡽⢮⣗⢯⡯⢷⡳⣏⣾⢫⣞⣳⢯⢾⣹⡞⣽⡞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡭⣇⡋⡔⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⢮⡓⢦⡙⣷⡳⣬⣦⢥⡛⣤⡙⣦⣿⣿⣿⣿⣏⣿⢸⣿⣿⣿⣿⣾⣿⡜⣌⠣⣜⠰⢣⢌⡱⢢⢙⣂⠳⢌⡡⠎⢆⡑⢢⠡⡑⢊⠴⡈⢆⠱⣈⠒⡡⠎⡰⢁ ⣿⣞⣷⣻⢾⣽⣳⢯⣷⢫⣯⢷⣚⣯⡽⣞⡵⣯⢽⡻⣼⣛⠾⣯⢽⡳⣽⢻⡼⣽⡺⣏⡷⣽⢣⣟⡞⣿⣾⣥⣿⣿⣿⣯⣿⡳⢷⡈⡑⠌⢠⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣶⣍⢏⡞⣴⣙⣦⡹⢆⣿⣴⣽⣾⣿⣿⣿⣿⠐⡻⢷⢩⣿⣿⣿⣿⣿⡗⣨⠱⣌⠹⣂⠎⡔⢣⢌⠢⢃⠆⢢⠍⢢⠘⡄⢣⠘⣐⠢⡑⢌⠢⡁⢎⠰⡁⢆⠡ ⣿⢾⣳⣯⢿⡾⣽⣻⣼⣻⢞⣽⣹⢶⣻⢼⣻⢼⣳⡻⣵⣫⢟⡮⣗⣻⡼⣳⡽⣖⣻⡝⣾⡱⣟⢮⣽⡟⢻⣿⣿⣿⣟⣿⣯⢳⣦⣷⣶⣿⣿⢿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣼⣆⢳⣎⠿⣖⣾⣿⣾⣿⣿⣿⣿⣿⡀⣟⢈⣦⣹⣿⣿⢿⣿⠓⡤⢓⣌⢣⠱⡊⢜⡂⢎⡱⢊⡜⢄⠚⡄⢣⠘⡄⢃⠆⡱⢈⠆⡱⢈⠆⡱⢈⠄⡃ ⣿⢯⣟⡾⣯⣟⡷⣯⢶⣏⣟⡮⣗⣻⡼⣏⡾⡽⢶⡻⣵⢫⣾⡹⣞⡵⣫⢷⣹⢞⡵⣻⢖⣻⡝⣾⣿⠁⠰⠟⣿⣯⢸⣿⣯⡧⣴⣠⣴⣶⣦⣄⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⢿⣿⣿⣮⣷⣾⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣟⠃⢿⣿⠟⣽⣿⣿⠣⡙⡔⢣⠜⣢⠣⢍⠢⡙⢄⢢⠡⡘⢄⠣⡘⢄⠣⡘⢄⠊⡄⠣⡐⢄⠃⡔⢠⠃⡌⡐ ⣿⢯⡿⣽⣻⢾⡽⢯⡷⣞⢧⣟⣭⠷⣝⡾⣱⠿⣭⢗⣯⢳⡞⣵⡻⣼⣛⢮⡗⣯⡝⣧⡟⣧⢻⡞⣿⠀⠀⣦⣿⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣹⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣛⣷⠿⣫⣾⢃⠧⡱⡘⢥⠚⣄⠳⣈⠱⡈⢆⠢⡑⢌⠢⡑⢌⠢⡑⠰⡈⢆⠡⢃⠌⡂⠜⡠⢂⠅⢢⠁ ⣿⢯⣿⣳⣟⣯⣟⣯⠷⣏⡿⡼⣞⢯⣻⠼⣏⣟⢮⣻⡜⣯⢞⣳⡽⣣⢯⣳⢻⡼⣽⢲⡟⣼⡳⣏⢿⣆⠀⢿⣿⣿⣿⣯⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠶⢟⣿⢅⠺⡰⢡⡙⠤⢋⠤⠓⡄⢣⠘⡄⢣⠘⡄⢣⠘⠤⡑⢨⠑⠌⡄⢃⠢⡘⠄⡃⠔⣁⠊⡄⢃ ⣿⣻⣞⡷⣿⢮⡽⣞⣿⡹⣞⡽⣞⢯⣳⢻⡝⣮⢟⡶⣻⡝⣞⣧⢻⡵⣫⣗⢯⣳⡭⢷⣫⢷⡹⣎⡯⢿⣆⠘⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⢀⢻⡯⢌⢣⡑⢧⠘⡥⢋⠌⡓⢌⠢⡑⢌⠢⡑⢌⠢⢉⠆⢡⠂⡜⡐⢌⠂⡅⠢⡑⠌⢒⡀⠣⠌⡄ ⣿⣳⢯⡿⣽⣏⡿⣽⣲⢟⡽⣞⣭⢷⣫⢟⡼⣏⡾⣳⢧⣛⢷⡺⣝⡾⡵⣞⢯⡖⣯⡳⣝⡮⢷⡹⣞⣻⣿⡄⣿⣿⣿⡟⢛⣫⣿⣿⣿⣿⣿⣿⠟⣿⠛⢿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠸⣹⡟⣌⠲⣡⠊⡕⢢⠡⢚⠰⡈⠖⡡⢊⠔⠡⢂⠱⡈⢌⠂⡅⢒⡈⢄⠣⡐⢡⠂⢍⠂⡌⢡⠒⠠ ⣿⡽⣯⣟⡷⣯⢷⣳⡽⢾⣹⡞⡽⣎⡷⣫⡽⣞⡵⣛⣮⢟⣮⢽⣣⢟⣵⢫⡾⣹⢖⣯⢳⡝⣧⢻⡜⣷⣿⣿⣿⣿⣿⣴⣿⡿⡏⢻⣿⣟⣤⣽⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠠⢚⡯⣐⠣⢆⠹⣠⢃⠣⢌⠢⡑⠌⠴⢁⢊⠱⡈⢆⠘⡠⢃⡘⢄⡘⢄⠢⢑⢂⠩⢄⠊⡔⠡⠌⡡ ⣿⣽⣳⣯⣟⣷⣛⣶⢻⡝⣧⡻⣝⢾⣱⣏⢷⣹⢞⡽⣎⢿⡜⣧⣛⠾⣜⢯⣳⣛⠾⣜⢧⡻⣜⢧⡻⣜⣿⣿⣿⣿⣿⣿⡟⠳⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠌⡐⢫⢄⠫⡜⢠⢃⠌⡒⢌⠢⢑⠊⡄⠣⢌⠰⡐⡈⢆⠡⢂⠔⡂⠔⡈⢆⠡⢊⠰⡈⠒⢄⠣⡘⠠ ⣿⣞⣷⣻⣞⡾⣝⡾⢯⣽⢺⡵⣏⡟⣶⡹⣞⡽⣚⡷⣹⢮⡻⣵⢫⡟⡽⣎⠷⣭⣛⢮⡳⣝⢮⡳⣝⡞⡶⣿⣿⣿⣿⡿⠈⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠬⣙⠆⢳⠘⠤⣉⠆⡱⢈⢆⠡⢊⠰⡁⢆⠡⢂⠱⣀⠣⠌⢒⡈⢆⠡⢂⠱⡈⠤⢡⠉⡂⢆⠡⡁ ⣿⢾⣽⣳⢯⣟⡽⣞⡿⣜⣳⡽⣺⡝⣶⢫⢷⡹⣝⠾⣭⣳⢻⣜⡳⣽⢳⣭⣛⢶⣭⢳⡝⣮⢳⡝⣮⣝⡳⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⡈⠴⣈⢏⠰⣉⠒⡡⢊⠔⡡⢈⠆⡡⢒⠈⡔⡈⢆⠡⡐⢂⡑⠢⡐⢂⠅⡊⠔⡠⢃⠢⡑⠨⠄⡃⠔ ⣿⣻⢾⣽⣳⢾⣹⣳⢽⡺⣵⢫⢷⡹⣞⡽⢮⣽⣚⢯⣳⢭⣳⢭⣳⢭⣳⢮⡝⡾⣜⢧⡻⣜⢧⡻⢶⣭⢳⢧⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⡐⢈⠲⢡⢎⡱⢄⡩⢐⠡⢊⠄⣃⠰⢁⠢⡑⠰⡈⢄⠃⡔⣁⠢⡑⢄⠃⡌⠰⣁⠒⡄⢃⠌⡑⢌⠰⢁ ⣿⣽⣻⢾⡽⣞⣧⢟⣞⣳⡭⣟⢮⢷⡹⣞⣳⢮⡝⣾⣱⢻⡜⣧⣛⢮⡳⣏⢾⣱⢏⡾⣱⢏⡾⣹⢳⣎⡟⡾⣴⢛⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠭⡀⢡⠌⡡⢂⡅⢺⡔⡨⢔⡡⢊⡅⢒⠠⡑⣈⠒⡈⢅⠒⣈⠒⡐⢄⠒⡨⠐⡌⠰⣁⢂⠒⡈⢆⡘⠰⢈⠢⢁ ⣿⢾⡽⣯⢷⣻⢮⣛⣮⢳⣝⣮⣛⢮⢷⡹⣎⢷⣹⠶⣭⣳⣛⠶⣭⡳⣝⡞⣧⣛⢮⣳⡝⣮⢳⣝⡳⢮⣝⡳⣯⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⡁⠞⡌⠐⡤⠂⠤⢡⠘⣐⠣⣏⡐⠆⡔⣡⠈⡆⡑⠰⣀⠃⡜⢠⢊⡐⢌⠰⣈⠂⡅⢃⠌⡡⢐⢂⠱⢈⠆⢌⠡⢊⠄⠡ ⡿⣯⣟⡷⢯⢷⣫⠷⣭⢷⣚⢶⡹⢮⡳⣝⢮⣳⢭⣛⢶⣣⢏⡟⡶⣝⢮⣝⠶⣭⡳⢧⣻⣜⡳⢮⣝⡳⢮⣽⣟⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣍⡳⢍⢦⣹⡰⢬⠑⡠⠨⠰⢀⣋⠄⠳⣼⡄⣙⠰⢠⡘⠤⣁⠣⡐⢌⡐⢢⠐⡰⢈⠢⠄⡃⠔⣈⠢⠑⡂⢌⠢⡁⢎⠠⠃⡄⢊⠐ ⣿⢷⣯⣟⢯⢷⣫⣟⢮⣳⡝⣮⣛⢧⣛⢮⡳⣝⡮⣝⣮⢳⣏⣞⡳⣝⠾⣜⡻⢶⣹⢳⡳⢮⣝⡳⢮⣝⡳⣞⢿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣭⢻⣌⠳⣭⢖⣦⠳⣌⢌⠡⢁⠒⢡⠈⢎⠡⠜⣷⡈⠜⣠⠘⡰⢀⢣⠘⡄⠒⡄⢣⠐⡡⢂⠱⢈⠒⡠⢁⠣⢘⠠⢂⠅⢊⠐⠡⠐⠂⠌ ⣿⣻⢶⢯⣛⡾⡵⣞⢯⢶⡹⣖⢯⡞⣭⣳⢻⣜⡳⣝⢮⡳⣞⡼⣳⢭⣛⣮⡝⣧⢏⡷⣹⢳⢮⣝⡳⣎⠷⣭⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢯⣽⣳⢮⡳⣎⡳⡼⡞⡴⢫⡜⠌⢦⠉⠈⠄⡐⠂⡜⢨⢽⣿⡔⢂⠱⣀⠃⢆⠱⣈⠱⡈⢆⠱⣀⠣⡘⢄⠣⡐⢡⠊⡄⠣⢌⠘⡀⢊⠡⠌⠡⢈ ⣟⡷⢯⣟⡽⣺⣝⢾⡹⣎⢷⡹⢮⣝⠶⣭⡳⢮⣝⢮⡳⣝⢮⡳⣝⢮⣳⢮⣝⢮⡻⡼⣭⣛⠾⣜⡳⣭⣛⠶⣭⢿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣏⣟⡳⢞⡥⢯⡽⣭⢳⢧⡹⢜⣣⡙⢾⡀⠎⠡⠀⢄⠡⡀⠣⢎⢿⣿⣧⣖⡠⢉⠆⡒⠤⡑⡈⢆⠱⣀⠣⡘⢄⠣⡘⢄⠣⡘⠰⡈⠆⡁⠢⠐⡈⢂⠁ ⣯⣟⣟⣮⡽⣳⢞⣯⢳⡝⣮⢽⡳⣎⡟⡶⣝⢯⡞⣧⣛⢮⢷⡹⣞⢧⣛⠾⣜⢧⡻⣵⢣⣏⠿⣜⡳⢧⣏⠿⣜⡧⣏⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⢾⡸⣹⡍⣞⣱⠞⣥⢻⢦⡙⣦⠧⡙⢦⡑⢎⠡⡀⠆⠰⢀⢣⠘⡼⣷⣏⡿⣿⣶⣾⣤⣵⣠⡑⣈⠒⠤⢑⠰⡈⢆⠱⡈⢆⠡⢃⠜⡠⠑⣂⠑⡠⠁⠌ ⣷⣻⡼⢶⣻⢵⣫⢞⣧⢻⡜⣧⢻⡼⣹⢳⡝⣮⡝⡶⣭⣛⢮⣳⡝⣮⣝⡻⣜⢧⡻⣜⡳⣞⡽⢮⣝⡳⣎⠿⣜⡳⣝⠾⣭⣛⠿⡿⢿⠿⣿⢿⣿⠋⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣞⡧⢷⡩⡜⠶⣥⢯⡙⣧⣾⠵⣣⠝⣌⠣⡜⢢⠡⡁⠂⠅⣂⠢⠘⢤⢫⡝⣻⣷⣻⢞⣽⣻⣟⣿⡿⣿⣶⣮⣴⣡⣈⠆⡑⠌⢢⠁⢎⡐⠡⡀⠎⢠⢁⠂ ⣷⣳⢻⣏⣞⢧⣛⡾⣜⢧⡻⣜⣧⢻⡵⣫⢾⡱⣏⢷⣣⢟⣮⢳⡝⡶⣭⢳⡝⣮⢳⣭⢳⡝⣞⡳⢮⡝⣾⡹⢧⡻⣜⡻⢶⡍⡷⣍⣛⠮⡵⢎⣽⠀⠀⠀⠀⢮⣿⣿⣿⣿⣿⣿⡿⡞⣥⢳⡉⢳⡜⣦⢿⡻⣌⠷⣢⠝⣠⠒⡌⢠⠃⡔⢁⠂⠴⢈⡑⢎⡳⢼⢯⡷⣯⣟⣮⢷⣻⣾⣟⡿⣽⣿⣻⣿⣿⣿⣷⣾⣤⣉⡤⠘⢠⠁⡌⠂⡄⢂ ⡷⢯⣛⣞⢮⡻⣜⡳⣝⢮⢷⡹⣎⢷⡹⢧⣏⢷⡹⣎⢷⣫⢞⣧⢻⡵⣫⢷⡹⣎⢷⡺⣝⠾⣱⢏⡳⣝⢶⣹⢳⡝⣧⣛⢧⠞⡵⢎⢧⡛⣜⢣⢾⡃⠀⠀⠀⠠⣼⣿⣿⣿⣿⣟⣷⡻⣬⢓⣌⠶⣹⣯⣗⣳⣭⠳⡆⣍⠲⠠⠄⠃⡜⠐⡌⡀⢂⠬⠑⡎⡵⢋⡞⣹⢳⣻⣾⣿⢿⣟⣾⣟⣷⣿⣿⣽⣷⡿⣯⣿⣿⣿⣿⣿⣦⣴⣀⠡⠐⠂ ⣟⢯⡽⣎⣯⢳⡭⣗⢯⡞⣧⢻⡜⣯⣝⡳⢮⣏⢷⡹⣎⢷⣫⢞⣧⢻⡵⣫⢷⡹⣎⠷⣭⢻⡥⣏⢷⡹⣎⢷⣫⢞⡵⣭⠺⡭⣝⢮⢣⡝⣬⠓⡾⡇⠀⠀⠀⠐⢼⣽⣿⣿⣿⣿⣷⣿⠶⣏⢬⣛⣷⣻⣞⡷⣊⠷⣉⠦⣁⠣⣘⠐⡈⠱⣀⠖⠡⠀⡝⡘⡔⠫⡔⢣⡞⣿⣿⣿⣿⣿⣿⣾⣿⣿⣾⣿⣾⢿⣟⣷⡿⣯⣿⣿⢿⣿⣿⣿⣾⣤ ⣯⣛⢾⡱⣏⢷⡹⣎⢷⡹⣎⢷⣛⠶⣭⣛⠷⣎⢯⡳⡽⣎⢷⣫⢞⣧⢻⡵⣫⠷⣭⢻⡜⣧⢳⡝⣎⢷⡹⣎⢷⣋⠾⣜⢫⡵⣚⡬⢳⡜⢦⡛⡴⣧⠀⠀⠀⠀⠀⢙⣿⣿⣿⣿⣿⣯⡿⣜⡶⣹⣾⢯⣟⣳⡽⢎⡕⢢⠰⣁⠣⡜⢀⠡⡘⢠⠁⢆⠐⡤⢩⠓⣬⢓⡞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣻⣿⣿ ⡷⣭⡗⣯⠽⣎⢷⣫⢞⡵⣫⡞⣭⣛⠶⣭⢻⡼⣣⢟⡵⣫⢞⡵⣫⢞⣧⢻⡵⣻⡜⣧⢻⣜⡳⢞⡭⡞⣵⢫⡞⣭⢻⢬⡳⣜⡱⢺⡱⢎⢧⡙⡖⣿⠀⠐⠄⢀⠀⠀⠉⣿⣿⣿⣿⣿⣟⡷⣏⣷⣿⣿⢿⣻⡝⢮⡜⣡⠓⠬⣑⠜⣨⠂⡁⢃⡚⢤⡈⢠⢃⡝⢦⣛⡾⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣽⣿⣽⣿ ⣟⡵⣻⣜⡻⣜⢧⣛⢮⡳⢧⡻⣵⢫⡟⡼⢧⡻⣵⢫⡞⣵⢫⡞⣵⢫⡞⣧⣛⢶⡹⣎⢷⣪⠽⣹⢼⣙⢮⣳⢹⡜⣣⢳⣙⠦⣝⢣⡝⢎⢶⣭⡿⠛⠀⠀⠀⢹⠆⣄⣀⠿⣿⣿⣿⣿⣯⣿⡽⣾⣿⣯⡿⣧⣛⢧⡚⡥⢊⠶⣩⢎⡡⢚⠄⢃⠜⡢⣄⠣⡘⣬⢣⠿⣽⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣯⢞⡵⣎⡷⣹⢎⣯⢳⡽⣳⡝⣮⢳⡽⣹⢧⡻⣜⢧⡻⣜⢧⣻⡜⣧⣛⢶⡹⣎⢷⡹⢶⣩⢏⠷⡮⣝⡞⣬⡓⣞⣱⢫⡜⣹⢬⣳⡾⠟⠋⠁⠀⢀⠀⠀⠀⢸⡅⣦⢉⡉⢿⣿⣿⣿⣿⣽⣿⣿⣿⣿⡿⣖⡻⢦⡛⣌⢏⡾⡵⢪⡕⢯⣌⢣⣌⡱⢎⡧⣙⣤⢏⡿⣵⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢷⣫⢞⡵⣫⢗⡯⣞⢧⡻⣵⢻⡜⣧⢻⡵⣫⢷⡹⣎⢷⡹⣎⢷⡹⢶⡹⣎⢷⡹⢎⡗⣯⣜⢫⢷⡹⡖⣽⠲⣝⡼⢲⣍⣾⠟⠋⡁⢀⠀⠀⠀⢰⣿⠀⠀⠀⠈⡇⠸⣧⣌⣻⣟⣿⣿⣿⣿⣿⣿⣿⣿⡿⣥⣋⢷⡙⣞⣮⡽⣽⢳⣚⠷⣜⡲⣬⡳⢯⣶⢻⣼⣻⣞⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣟⡼⣫⢞⡵⣫⢞⡽⣎⠷⣭⢳⡝⣮⢷⡹⢧⣏⢷⡹⣎⢷⡹⢮⡝⣧⢳⡝⡮⡝⣏⡞⢶⢎⡿⢬⡳⣝⠮⣝⣲⣽⠟⠋⠀⠠⠀⢀⡀⢀⡈⢷⣾⣿⠀⠀⢠⠀⢻⡄⢽⣷⣎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢧⡍⣎⢿⣼⣳⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣾⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡾⣱⣏⣞⡳⣝⢮⣳⢭⡟⣼⢫⡞⣵⢫⣝⡳⣎⢷⡹⣞⢧⣛⢧⢻⡜⣳⠞⡵⣋⢶⡹⣚⢮⡜⢧⣛⡼⣹⣶⠟⢡⣀⠈⢒⠠⣇⢢⣽⣦⣿⣿⣿⣿⠃⠀⠈⢣⠀⢳⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣟⡼⣣⢟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⣻⢯⣟⡳⡽⣎⢷⣛⣾⣳⣿⣿⣿⣿⣿⣿⣿ ⣳⢯⡽⣹⢧⡻⣜⢯⡞⣵⢫⡞⣵⢫⡞⣽⢣⡟⡼⢧⡻⣜⡻⣜⢮⣓⢏⡖⢧⠻⣜⡣⢟⣬⢓⡮⢫⣵⡿⠋⠀⠈⢻⣤⣚⡤⢿⡞⣿⣻⣿⣿⣿⠏⠀⠀⠀⠈⡆⠸⡄⠘⣿⣿⣿⣿⣿⣿⣿⣿⡵⣿⣿⣿⣧⣻⣾⣿⣿⣿⣿⣿⣿⣿⢿⡿⣿⣿⡿⣟⣿⣯⣿⣟⡿⣿⣻⣿⣽⣟⣷⣿⢾⣟⡾⣽⣳⢧⣻⣼⣻⣽⣿⣿⣿⣿⣿⣿⣿⣿ ⢯⡞⣵⢏⡾⣱⢯⡞⡽⣎⢷⡹⣎⢷⡹⣎⢷⡹⣝⢧⡟⣼⡱⢏⡶⢭⡺⣜⢫⣝⡲⢭⣓⢮⡹⣼⡟⠃⠀⠀⠀⣐⡠⠞⣿⡽⢎⡽⣶⢿⣾⢏⡆⠀⠀⠀⠀⠀⠑⠀⣧⠀⢺⣿⣿⣿⣿⣿⣿⡿⠀⣿⣿⣿⣿⣿⣿⣿⡿⣿⣻⣝⡮⣝⡾⣿⣳⣿⣟⣿⣿⣽⣷⣿⣿⣿⣿⣷⣿⣿⣿⣯⣿⣾⣟⣷⣿⣻⣷⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣟⡼⣣⡟⣼⢣⡟⣼⢳⡝⣮⢳⡝⣮⢳⡝⣾⡱⣏⠾⣜⢧⡝⡞⣜⡣⢗⣎⠳⣎⣵⣫⣼⣶⠟⣉⣠⠀⠀⠀⢀⡿⣷⢍⣙⣧⣿⣾⣿⣫⣝⣾⣤⣄⣲⣤⣹⣦⠲⠤⣄⠀⠈⢿⣿⣿⣿⣿⣿⠃⢤⣿⣿⡿⢫⣙⢮⣳⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣷⣿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡷⢯ ⣞⡳⣝⢾⡱⣏⣞⢧⡻⣜⢧⡻⣜⢧⡟⣼⢣⡝⣮⣛⡼⢎⣞⡹⡲⣍⣷⡾⠟⢋⢉⣥⣶⣾⣿⣿⣿⣿⠿⡩⢞⣷⠟⠉⡐⢎⠛⡍⢯⡽⣻⣿⡻⢿⣿⣿⣿⣿⣷⣦⣜⣦⡀⠹⣿⣿⣿⣿⠏⢀⣿⡿⠉⢁⠣⣞⣯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⣟⣿⣟⣿⡾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠾⣝⢯ ⣯⣝⢾⣣⢟⡼⣎⡷⣹⢎⣯⢳⡝⣮⡝⣮⢳⡝⢶⡹⣜⣫⣖⣽⠿⢋⡡⢴⠶⣞⡾⣞⣷⣿⣾⣿⣿⣟⡶⣡⣿⠋⠀⠀⢁⠢⠕⡚⢡⢎⡱⠭⣽⠿⣟⢿⡻⣝⣮⣿⣿⣿⣷⡧⣿⣿⣿⡋⢥⣿⡏⣠⣄⣠⣔⣫⢿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣟⡿⣿⣾⣿⣿⡿⣟⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣽⣯⢿⡽⣞ ⡷⢮⣳⡝⣮⢳⡝⣾⡱⣏⡞⣧⣛⢶⣽⣮⡷⠿⢛⠛⡫⢍⠋⡅⣎⢱⡙⣎⠿⣜⣻⡽⣿⣾⣿⣿⣿⣿⣿⣿⠏⢀⢠⡐⣠⠉⠒⠬⡁⢎⡰⢿⣬⡻⣜⣯⢷⣻⣿⣿⣿⣿⣿⣷⣉⡟⢦⡑⣮⢯⣴⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⣻⡾⣿⣟⣯⡿⣿⣿⣯⣟⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⡷⣯⡿⣽⢯ ⣽⢳⢧⡻⣜⢧⡻⢶⣹⢮⣽⡶⠿⠛⠉⠀⠐⠤⠣⡘⠐⢊⠒⡌⢂⠧⣜⡎⣷⣹⡾⣽⣷⡿⣿⣿⣿⣿⠿⣡⠲⣌⢶⡹⢿⣆⣙⣲⠱⣮⢙⠶⣣⢿⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡦⠥⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⢷⣯⣟⣷⣿⣳⣯⢿⡽⣷⣿⣾⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣿⣿⡷⣟⣯⣿ ⣳⢯⡞⣵⣫⢞⣽⣳⠟⠋⠁⠀⠀⠀⠀⠐⠠⠂⢀⠈⠄⢡⠘⡰⣍⡞⣴⢯⡷⣯⣟⣿⡾⣟⡿⡹⣍⢆⡳⢣⡽⣘⣮⡟⣽⣿⣿⢣⠷⣌⣯⣛⣷⣻⢾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⣶⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⣯⢷⡿⣜⢯⢾⣭⢿⡿⣿⡿⣿⣾⢿⣿⡿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣾⣿⣻⣿⣾ ⣟⢮⣽⢺⣵⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣀⠢⡜⢢⡝⢲⣟⡾⣽⣯⣿⣿⣻⡽⣛⢥⢳⡱⢎⢎⣝⢣⡻⣵⣳⡿⣟⣿⣞⣯⢿⣝⡶⣛⡾⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣟⡾⣞⡯⣝⢿⣫⡗⣾⣯⣿⡽⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣟⣿⣷⣿ ⣻⢞⣼⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣂⠔⣠⠒⣭⠳⡜⣧⣿⣟⣷⣯⢷⣫⢇⡧⣙⢎⢣⠳⡞⡼⣌⢷⣻⢽⣯⢿⡽⣯⣟⡞⡿⣮⣽⢳⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠘⢦⡈⢿⣞⣿⣿⣿⣿⣷⡿⣿⣟⡾⣽⣟⡾⣽⢣⡟⣽⣺⢷⣻⢽⣳⣯⣿⢿⣻⣿⣻⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿ ⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢬⡸⣔⢫⢖⣻⣾⣿⠿⣝⡾⣡⠧⣍⠞⣰⠙⢎⡲⢥⣛⣼⣻⡼⢯⡟⣞⢯⣿⣱⢿⡜⣷⡝⣾⢻⣶⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢳⣄⡆⣹⣜⣿⣿⣿⣿⣿⣿⣿⢿⣟⣿⣳⢏⡷⣭⢗⣯⣛⣷⢻⣾⢯⣿⣻⣽⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢆⡞⠶⣱⣮⣾⣿⣿⢿⡽⣛⡮⢱⡡⣚⡜⡸⢣⢛⣤⡝⣫⣼⠶⡽⢾⡹⡞⡭⢞⠶⢭⢞⡹⣞⡽⣮⢿⣟⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡦⠀⣻⣽⢻⡼⣾⢿⣿⣿⢿⣻⣿⣿⣾⣳⢯⡻⣼⢛⡾⢧⣻⣼⣻⣾⢿⣽⣿⣻⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡒⡌⣞⣬⣿⣿⣿⣿⣿⣯⣿⡟⢧⠘⡅⣶⢩⠞⣱⢛⣼⢲⡝⣣⢟⡽⢞⡹⢻⡱⣛⢮⣙⣧⢫⡷⣭⢷⣯⣟⣾⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣰⣿⣿⣻⣿⣯⣿⣿⣿⣿⣿⣟⣮⢷⡏⣯⢳⣭⢻⡼⣟⣧⣿⣹⣽⣻⣯⣿⢿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠄⠈⠀⠀⠀⡜⣰⣿⣿⣿⣻⣽⣯⢿⣿⣯⠳⡜⢠⢛⡘⢤⡃⣞⡥⢏⡞⡶⣙⢮⣟⡼⡳⣍⣳⣫⡝⣮⣝⣮⣻⡽⢯⣿⣾⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⡷⢧⣿⣿⣿⣿⢯⣟⡾⣽⢻⡯⣟⣳⡛⢾⣳⣽⡽⣞⡿⣿⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⡘⡼⣼⣿⣻⣷⢿⣽⣿⣽⣿⣿⣦⠃⡄⠙⠦⠸⠀⡗⡌⢲⡛⣜⠶⣙⡞⣼⣱⢯⣝⣣⢿⣝⣯⣟⣾⣳⣿⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡿⣼⣿⣋⢿⡟⣞⣻⣞⡷⣹⢏⡷⣫⢷⣹⣛⣷⣻⣽⣿⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⢠⡉⣥⢻⣽⣷⢿⣷⣯⣿⣿⣿⣿⣿⣿⠂⠄⠡⠒⠐⠈⠳⢐⡚⡡⢜⡭⢻⡴⣛⢶⣭⡞⣧⣟⣯⢿⣭⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡛⢿⠙⣇⣿⢫⡝⣭⣓⣮⠷⣳⢾⣱⢟⣯⣟⣯⣷⣻⣾⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣷⣟⡷⣯⣿⣿ ⠀⠀⣀⣄⣠⠌⢦⡱⣯⣿⣻⣾⡿⣯⣿⣿⣿⣿⣿⣿⡏⠙⠀⠀⠀⡰⣃⡤⢋⣜⣍⣫⣜⣣⣷⣻⣟⣶⡿⣟⣾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⡉⠁⡫⢜⠣⢯⣜⣦⠳⣬⠷⣽⣚⣷⣞⣳⣾⣷⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣿⣹⣿⣽⣯⣿

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✋🤢🤮zoophiles r gross🤮🤢✋ ˗ˏˋ ✞ ˎˊ˗

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠸⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠱⣄⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⠤⠖⠛⠀⠀⠀⠀⡇⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠈⠉⠉⠙⠙⠛⠛⣿⠚⠛⠛⠋⢻⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⣄⠀⠀⠀⠈⠙⠢⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠈⠳⣄⠀⠀⠀⠀⠀⠉⠑⠢⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠙⠲⢤⣀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠑⠒⠒⠢⠤⢤⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⢸⡆⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠠⡇⠀⠀⠀⠀⠀⠀⢈⠉⠓⠒⠦⠤⠤⣄⣀⣀⠀⢀⠀⠀⠀⠀⠀⠙⢦⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠙⢢⠄⠀⠀⠀⠙⡤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⢸⡄⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠸⠀⠀⠀⢠⠏ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠒⠉⠉⠉⠑⠒⠒⠲⠤⠤⠚⠁⠀⠀⠀⣠⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠈⢳⡄⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠀⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢆⠠⠀⠀⠀⠀⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠢⠤⢄⣀⣀⣀⣀⣀⡠⠤⠖⠚⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠷⣄⡀⠀⠀⣀⡴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠶⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

𖣂🐻✨🌻♡ cute, ,,bear this so funny ngl like ur all fighting over this shitt hahahahehehe≽´ܫ´≼

never seen a bad thing on here only "dont post bad stuff theres kids" like omd 🗝𖦹 ׂ 𓈒 🐇 ／ ⋆ ۪

─── ⋆⋅☆⋅⋆ ───── ⋆⋅☆⋅⋆ ───── ⋆⋅☆⋅⋆ ──– No way y'all beefing on "emojicombos.com"😭🙏 ⋆｡‧₊°♱༺𓆩❦︎𓆪༻♱༉‧₊˚. ╱|、 (˚ˎ 。7 |、˜〵 じしˍ,)ノ

/\__/\ ( OwO ) | v v| \/-----\/

へ ♡ ╱|、 ૮ > <) (˚ˎ 。7 / ⁻ ៸| |、˜〵 乀(ˍ, ل ل じしˍ,)ノ

i didnt think there would be so much lore on an emoji website 😨

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣤⡶⠁⣠⣴⣾⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⣿⣿⣴⣿⠿⠋⣁⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣾⣿⡿⠟⠋⠉⠀⣀⣀⣀⣨⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣤⣤⣴⠂ ⠈⠉⠁⠀⠀⣀⣴⣾⣿⣿⡿⠟⠛⠉⠉⠉⠉⠉⠛⠻⠿⠿⠿⠿⠿⠿⠟⠋⠁⠀ ⠀⠀⠀⢀⣴⣿⣿⣿⡿⠁⠀⢀⣀⣤⣤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣿⣿⣿⡿⠁⢀⣴⣿⠋⠉⠉⠉⠉⠛⣿⣿⣶⣤⣤⣤⣤⣶⠖⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⡇⢀⣿⣿⣇⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀ ⠀⠀⠸⣿⣿⣿⣿⡇⠈⢿⣿⣿⠇⠀⠀⠀⠀⠀⢠⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⣿⣿⣿⣷⡀⠀⠉⠉⠀⠀⠀⠀⠀⢀⣾⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢿⣿⣿⣷⣄⡀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣋⣠⡤⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠿⠿⠿⠿⠿⠿⠟⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⡆⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⠋⠀⠀⠈⡆⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠈⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢺⡟⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀ ⠀⡇⠀⠀⠀⠀⠈⢾⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎⢀⡏⢀⣠⡄⠀⠀⠀⢸⠀⠀⠀⠀ ⢠⠃⠀⠀⠀⠀⢀⠈⠞⡌⢢⡀⠀⠀⠀⣀⣤⣄⠤⠤⠒⠒⠒⠒⠚⠓⠒⠈⠉⢀⡜⠀⠀⡇⠀⠘⡄⠀⠀⠀ ⢸⠀⠀⠀⢰⠀⠀⠱⡄⢡⠀⠙⢄⣠⢞⡵⢋⡠⠔⠂⣀⣶⢶⡴⠶⠶⣶⣶⠞⠋⠀⠀⢠⠇⠀⢰⡇⠀⠀⠀ ⢸⠀⠀⠀⢸⠈⢦⠀⠘⡌⣄⠀⠈⢷⣾⣴⡋⠤⠒⠉⠁⠈⠉⠁⠒⢄⡀⠈⠑⢦⡀⠴⡣⠀⠀⢸⠁⠀⠀⠀ ⢸⠀⠀⠀⠀⣇⠀⠱⡄⢠⣇⠀⠀⠀⠙⢿⠒⠒⠤⠤⢤⡄⠒⠶⣒⣶⣛⠒⠒⠤⣱⡊⠀⠀⢠⡏⠀⠀⠀⠀ ⠘⡀⠀⠀⠀⠘⢦⣀⠘⢆⣿⠀⡀⠀⠀⠘⣦⡀⠀⠀⠀⠙⣆⠀⢈⣿⣿⣿⣦⣄⠈⡇⠀⡠⢺⠁⠀⠀⠀⠀ ⠀⢧⠀⠀⠀⠀⠫⡻⣄⠀⣹⠎⠀⣠⣶⣿⣿⣷⣤⡀⠀⠀⢻⣧⠘⠋⣿⣿⠛⣿⣦⡷⠋⢀⣾⠀⠀⠀⠀⠀ ⠀⠘⣷⣄⠀⠀⠀⠈⠑⢲⠃⢀⣾⣿⣋⣭⣟⡛⠉⢿⣦⣄⠈⢿⣧⣴⣿⡿⢷⡆⠋⠀⠰⠋⣸⡃⠀⠀⠀⠀ ⠀⠀⠹⡌⠓⢤⣀⡀⢀⡎⠀⠜⣹⣿⣿⡿⡟⢿⣦⠀⠈⠻⣷⣾⣿⣿⣯⠄⠀⢻⠇⣰⡆⢴⣿⠏⠀⠀⠀⠀ ⠀⠀⠀⢿⡆⠀⠀⠉⠹⡇⠀⠀⣿⣿⣿⣃⠀⡀⠙⡆⠀⠀⠀⠉⠹⣿⡟⠀⠀⢸⣃⣀⠀⠉⠛⠛⠀⡆⠀⠀ ⠀⠀⠀⣄⣳⢦⡀⣤⠴⣷⠀⢸⡏⣿⣿⡟⢠⠁⠀⢱⠀⠀⠀⠀⠀⠘⠳⢅⣠⠎⠉⠉⢣⠀⠀⢀⡼⠁⠀⠀ ⠀⠀⠀⠈⢹⣿⠃⠉⠁⠈⡠⠞⠻⣌⣒⡡⠊⠀⢀⡼⠀⠀⠀⠀⠀⠀⠀⢀⣈⣉⠂⠤⣸⣄⡤⠾⡴⠀⠀⠀ ⠀⠀⠀⣰⡿⠁⠀⠀⠀⣷⠃⣠⠖⠛⠛⠻⣶⣎⠉⠀⠀⠀⠀⠀⢀⡤⠚⠉⢀⣀⠍⡆⠈⡇⠀⡰⠁⠀⠀⠀ ⠀⠀⠘⢧⡀⠀⠀⠀⠀⢱⠀⠇⠀⠀⠀⠀⠈⠻⣄⠀⠀⠀⠀⠀⠸⣤⣀⣩⠀⢠⡴⠃⠀⣷⠞⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠛⣶⣤⣤⣤⣳⡁⠀⠀⠀⠀⠀⠀⠈⢦⡀⠀⠀⠀⠀⠀⠈⠉⢹⠏⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠲⢬⣉⣙⢦⣄⠀⠀⠀⠀⠀⠀⠙⢶⣤⣤⣤⡤⢤⣶⣿⣶⣶⠞⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⣿⣶⣤⣀⠀⠀⠀⠀⠻⣥⣤⣙⣦⣹⣿⢿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠙⠊⠹⢿⣷⣶⣤⣄⣀⡉⠛⠛⣉⡡⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⣠⣿⠇⠀⠀⠀⠈⠹⠿⠯⣉⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⢿⣟⣷⠆⢀⡄⠀⠀⠀⠀⠀⠐⠀⠸⣿⣧⣤⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⡤⠒⠉⠁⠀⢠⠤⠟⢛⠷⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⢿⢤⡈⠁⠒⠤⢄⣀⠀⠀⠀⠀⠀ ⠀⣠⠔⠊⠁⠀⠀⠀⢀⡴⠂⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠈⠓⢤⠄⠀⠀⠉⠒⠤⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠈⠢

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⢁⢙⢧⡀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡏⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠃⢸⠘⡆⠻⣄⠀⠀⠀⠀⠀⣰⠏⢸⡇⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⢠⣿⡄⣿⠀⠙⣆⠀⠀⠀⡼⠃⠀⢸⡇⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⢸⠱⠆⣿⠀⠀⢻⣤⣴⣾⣅⣀⡀⠈⣇⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⡿⠀⢠⡇⣠⡴⠿⠇⠀⠈⠸⠟⢛⢿⣾⣯⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⣸⣿⣿⣥⣤⣤⡀⠀⠀⠀⢰⣾⠛⢻⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⣠⣿⣿⡟⠙⠀⣠⣭⣳⡄⠀⢸⣿⣿⣤⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡟⠀⢻⣇⠀⠬⣿⣿⡿⠁⣼⠃⢸⣿⡇⠩⠶⠳⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀⣿⣷⡀⣙⣏⠀⠀⠉⠛⣿⣭⡾⠀⠀⣀⣼⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡄⠀⠀⠀⠀⠀⠀⠙⠓⠤⠔⠋⠀⠀⠀⢀⣼⠛⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠉⣳⡦⠀⠀⠀⠀⠀⠀⠐⠋⣏⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡴⠒⣼⠁⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⢹⣏⠁⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡾⠋⠀⢀⡟⠀⠀⠀⠀⢀⣀⣤⡶⣼⡷⢦⣀⠀⠀⠀⠀⠀⢈⣿⡆⠀⠀⢀⣞⣯⣽⡟⢶⣆⡀ ⠀⠀⠀⢰⡟⠀⠀⠀⣾⠁⠀⠀⠀⣰⠞⠉⠙⢷⣮⣷⡆⠙⣽⡲⠶⠤⠴⠼⠻⣿⡀⠀⢩⡛⠓⠾⠋⠀⣹⡇ ⠀⠀⢰⡏⠀⠀⠀⢠⣿⣦⠀⠀⢰⣏⣀⠀⠀⠀⠉⢬⡗⠀⠙⠉⣷⠄⠀⠀⠈⢯⣧⠀⢉⡟⠂⢀⣠⠿⠟⠁ ⠀⢀⡿⠀⠀⠀⠀⠈⠟⢹⣰⡀⠀⠉⠙⢷⡶⠄⢠⠴⠃⠀⠀⣷⡇⠀⠀⠀⠀⠸⡿⡄⡾⠀⠀⣿⠁⠀⠀⠀ ⢀⣸⡇⠀⠀⠀⠀⠀⠀⠞⣿⢧⠀⠀⠀⠀⢃⠀⠀⢷⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⣷⡿⠁⠀⢠⠏⠀⠀⠀⠀ ⢸⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⢸⠀⠀⠈⣧⠀⣸⠁⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⣿⠀⠀⠀⠀⠀ ⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⢸⠀⠀⠀⢸⣦⡟⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⢰⡇⠀⠀⠀⠀⠀ ⠀⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠸⣷⠀⣠⠾⠟⠁⠀⠀⠀⠀⠀⠀⢸⠳⢤⣤⣾⠀⠀⠀⠀⠀⠀ ⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠉⠛⣿⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⡀⢠⡾⠇⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠟⠀⢦⡀⠀⠀⠀⠀⢀⣠⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢦⣀⠀⠀⠀⠀⠀⠀⢀⡼⢷⡀⠀⠀⠙⠾⡟⠛⠋⠉⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠳⣤⣀⠀⠀⢠⡜⠁⠀⠙⢦⣀⠀⠀⠀⠀⠀⢀⣤⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢲⡞⠀⠀⠀⠀⠀⠈⠉⢛⣻⣿⡯⠅⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⠄⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⣿⠛⠋⠉⠁⠀⠀⣀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⣤⠟⠋⠀⢻⡀⠀⠠⠤⠖⠛⠁⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣜⣿⣄⠀⠀⠀⢠⣞⡁⠀⠀⠀⠀⣧⠀⠀⠀⠀⣠⠞⠁⢀⣀⡤⢶⣲⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡽⣿⠟⢉⡟⠳⢶⣤⣾⣿⣿⣶⣶⣶⣶⣿⡦⠴⠶⠾⠓⠖⠋⠉⠀⠀⠀⠀⠉⢻⣦⡀ ⠀⠀⠀⠀⠀⠀⢠⣟⠆⣿⣶⣿⡆⢀⣀⣰⣿⣿⣿⡿⠿⠛⠛⠛⠓⠶⠶⠶⠶⠶⠶⠶⠒⠒⠒⠒⠒⠛⠛⠁ ⠀⠀⠀⠀⠀⠀⠈⠛⠷⠿⠧⠿⠿⠛⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣴⣶⣶⣶⣾⣿⣿⣶⠀ ⠀⠀⢠⣿⣿⣷⣶⣶⣤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣶⣾⣿⣿⠿⠟⠛⠛⠉⠉⠁⠀⠀⢹⣿⡆ ⠀⠀⣾⣿⠁⠀⠈⠉⠙⠛⠛⠿⠿⣿⣿⣶⣴⣶⣶⣶⣶⣤⣤⣤⣀⢀⣠⣴⣾⣿⡿⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇ ⠀⠀⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣟⡉⠉⠉⠉⠉⠉⠛⠿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷ ⠀⢰⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣶⣄⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⠀⢸⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿ ⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣯⣤⣶⣾⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡇ ⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠃ ⠀⢸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿⠀ ⠀⠈⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠇⠀ ⠀⠀⢿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⢠⣿⡟⠀⠀ ⠀⢀⣼⣿⣷⢰⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⣿⣿⣥⣤⠀ ⠀⣿⣿⣿⣿⣧⡉⠉⣿⡿⠉⠉⢹⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢻⣿⠀⠀⣠⣾⣿⣿⢿⣿⡄ ⠀⣿⣇⠈⠻⣿⣿⡆⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣸⣿⠀⠀⠻⠿⠋⠀⣸⣿⠁ ⠀⣿⣿⡄⠀⠈⠉⠀⢿⣿⡀⠀⠸⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⢀⣿⡿⠀ ⠀⠈⣿⣿⣄⠀⠀⠀⠘⠛⠁⠀⠀⠹⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⡿⠏⠀⠀⠀⣼⣿⡏⠀⠀⠀⠀⢀⣾⣿⠃⠀ ⠀⠀⠈⢻⣿⣦⣠⣶⡄⢀⣴⣦⠀⠀⠀⠉⠉⠀⣶⣶⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣉⣤⣀⣠⣄⣠⣿⣿⠃⠀⠀ ⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⣤⣄⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀ ⢀⣾⣿⠋⠈⠛⠃⠙⠿⠁⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⡏⠀⠀⠀⠀⠀⠈⠛⠉⠛⠛⠁⠻⣿⣷⣄⠀⠀⠀ ⣿⣿⣃⣀⣀⣠⣤⣀⠀⠀⠀⠀⠀⠀⣿⣷⣤⣤⣤⣶⣿⣿⣿⣿⡿⠿⠿⠿⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣄⠀⠀ ⠙⠿⠿⠿⠿⠿⠿⣿⣷⣦⣄⣀⡀⠀⠈⠉⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠈⢿⣿⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⢙⣻⣿⣿⣷⣶⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣠⣤⣴⣶⣶⣿⡿⠿⢿⣿⣶⣶⣶⣾⣿⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠿⠿⢿⣿⡟⠛⠛⠉⠁⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣃⣤⣶⣾⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣹⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

guys i got a gf⸜(｡˃ ᵕ ˂ )⸝♡

⠀⠀⠀⠔⠢⠀⡄⠢⡀⠀⠀ ⡠⢄⡰⠀⠀⣦⠁⠀⡇⡠⢄ ⢇⠀⠱⠣⡴⠥⢦⡔⡎⠀⢸ ⠈⠒⡸⠎⠀⠀⠀⠱⢕⠐⠁ ⠀⠠⡀⠀⠀⠀⠀⠀⢀⠆⠀ ⠀⠀⠑⠠⠔⠒⠢⠤⠊⠀⠀

⠀⠀⣀⣀⣀⠀⣀⣀⡀⠀⢀⣀⣀⡀⠀⢀⣀⣀⣀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⣀⣀⠀⠀⠀⣀⣀⣀⣀⣀⡀⠀⠀⣀⣀⡀⠀⠀⠀ ⠀⠀⢿⣿⡿⠛⣿⣿⣿⣶⣿⠿⢿⣿⣷⠈⣿⣿⣿⡇⠀⠀⢀⣿⣿⣷⠀⠀⠀⠀⠀⣴⣿⣿⡿⣿⣿⡆⠀⢰⣿⣿⣧⠀⠰⣿⣿⣿⡿⢿⣷⣶⣿⢿⣿⣿⣶⣀⠀ ⠀⠀⢸⣿⣿⡿⣿⣿⡾⣿⣿⣆⠈⣿⣿⡇⣿⣿⡿⠀⣀⢀⣼⣿⣿⣿⣷⡀⠀⠀⠀⣿⣿⡏⣰⣾⣿⡇⢀⣾⣿⣿⣿⣧⡀⠉⢹⣿⣿⡄⠹⣿⣿⣏⠀⣿⣿⢿⠀ ⠀⠀⣾⣿⣿⠴⣿⣿⣇⠙⢿⣿⣶⣿⡿⢧⣿⣿⣿⣶⣿⣿⣿⣿⢿⣿⣿⣷⡄⠀⠀⠹⢿⣿⣾⣿⣿⢯⣾⣿⡿⣿⣿⣿⣶⡀⣾⣿⣿⣧⡀⠸⣿⣿⣾⣿⣿⠟⠀ ⠀⠀⠀⠉⠉⠀⠉⠉⠉⠀⠀⠉⠉⠉⠀⠀⠀⠀⠉⠉⠉⠈⠉⠉⠀⠉⠉⠉⠁⠀⠀⠀⠀⠉⠉⠁⠀⠀⠈⠉⠁⠈⠉⠉⠉⠀⠈⠉⠉⠉⠀⠀⠀⠈⠉⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠞⠛⠛⠛⠛⠛⠳⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡟⢂⣄⠀⠀⠀⠀⢶⣦⠀⠀⠀⠀⢠⣄⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢣⣾⣿⣧⡀⠀⣠⣿⣿⣷⡄⠀⣠⣿⣿⢳⣄⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣾⣿⣿⣻⣾⣯⣿⣿⣿⡻⣶⢯⣿⣿⣷⣿⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣽⣿⣿⣿⣿⣟⣿⣿⣯⣿⣶⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡟⠻⣿⣿⣿⣿⡿⠛⣿⣿⣿⣿⡟⠋⠻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣯⣤⣤⣬⣿⣿⣯⣤⣤⣼⣿⣿⣿⣤⣤⣤⣼⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⢠⣇⠀⢀⣄⠀⠀⢀⣤⣤⢤⡀⠧⣄⠼⢏⡡⣼⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠟⠛⠛⠛⠚⠓⠛⠓⠿⠛⠛⠓⠻⠒⠛⠓⠛⠳⢺⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣷⣶⣶⣤⣴⣴⣶⣷⣶⣶⣶⣿⣶⣦⣤⣦⣤⣤⣼⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤ ⠸⣟⣿⡛⣿⣹⣿⢿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⢻⣿⣽⣿⣿⣯⣿⣭⣿⣽⣿⣿⣯⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⡟ ⠀⠻⣿⣁⡉⠈⠅⠈⠁⠉⠉⠉⠈⠉⠈⠉⠉⠁⠉⠁⠉⠈⠉⠈⠁⠈⠁⠉⠀⠉⠈⠁⠈⠁⠉⠉⠉⠉⠉⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠉⠀⠉⠈⠉⡉⣿⣿⠃ ⠀⠀⠙⢿⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣴⣿⠟⠁⠀ ⠀⠀⠀⠀⠉⠛⠷⢦⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣄⣀⣀⣀⣀⣤⣴⡿⠟⠉⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢉⣹⡟⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢻⣿⡉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠶⠶⠶⢾⣿⣧⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⡷⠶⠶⠶⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣠⣤⣄⠀⠀⣿⡇⠈⠉⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠈⠁⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣟⣁⣴⣿⣷⣶⣿⡷⠒⠀⠀⠀⠀⠸⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⠟⠀⠀⠀⠀⠒⢾⣿⢶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢿⠛⠉⠀⢳⡀⠸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠛⠛⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣇⠀⠀⠘⣧⣤⣿⣿⣿⠁⠀⠀⠀⣰⡟⠁⠀⣀⣴⣾⣿⣿⣿⣾⣿⣿⣿⣷⣤⡀⠀⠘⢷⠀⠀⠀⠈⣻⣿⣿⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠹⡄⠀⠘⢿⡆⠀⠈⠻⣿⣦⣀⠀⠹⣷⣶⣿⣿⣿⣿⣿⣿⠿⠻⣿⣿⣿⣿⣿⣿⣷⣾⡿⠀⣀⣤⣾⠟⠉⠀⠀⠈⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣳⡄⠀⠀⠙⠛⢦⡀⠀⠉⠛⣿⣷⣮⣿⣿⣟⣛⣋⣉⣀⣀⣀⣀⣈⣙⣛⣻⣿⣿⣿⣿⣿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡼⠋⠀⠀⠀⠀⠀⠨⣷⣴⣿⠟⢻⡟⡟⢹⠛⠛⢻⣿⣿⡛⠛⠛⠛⣻⡿⠛⣿⠋⠛⢻⣿⣿⠻⢿⣦⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⡀⠀⣀⣠⠤⠞⠋⠙⣇⠀⠀⢸⡇⡷⢸⠀⠀⢀⣿⠁⠻⣦⣤⣾⠋⠀⢠⣿⠀⠀⢸⣿⣿⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣟⠉⠁⠀⡀⠀⠀⣠⣹⡀⠀⣸⣷⣿⢸⠀⠀⣸⣿⣧⣄⠈⡏⠃⢀⣴⣿⣿⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣧⡴⡦⡾⠑⢁⠀⠀⣷⢀⣿⣿⣿⣯⣠⣾⣿⣿⣿⣿⣦⣇⣴⣿⣿⣿⣿⣧⣄⣸⣿⣿⡀⠀⠀⠀⣠⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⡍⠁⢙⣁⣤⠴⠛⢛⣿⣿⣿⣻⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠶⡶⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠉⠉⠀⠀⠀⠀⠀⣿⠁⡎⣿⣿⣿⣿⠟⣻⡉⣿⣿⣿⣿⡿⠋⢸⣿⣿⣿⣿⡿⠋⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀⠀⢀⣀⣿⠶⠷⠷⠾⠿⠷⠶⠾⠷⠿⠿⠿⠿⠶⠶⠾⡿⠾⠿⠿⠷⠶⢾⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠳⠦⠶⢖⣿⣯⣥⣤⣤⣦⣠⣤⣤⣤⣴⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣽⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⢿⣿⣿⣿⢶⣿⡿⣿⣿⣿⡿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠋⢿⣿⣉⠉⠉⠙⠙⠋⠛⠋⠉⣻⣿⠉⠉⠋⠙⠉⠉⠋⡋⣟⣼⡿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⢿⣶⣤⣤⣀⣀⣤⣴⣿⣿⣦⣤⣀⣀⣠⣤⣶⡾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠞⠉⠀⡀⠄⡒⠈⠭⠭⠥⠈⠐⣚⣛⠛⠛⠛⡲⢦⣀⠀⠀⠀ ⠀⠀⠀⣰⠃⠀⠔⡨⡢⠑⠈⠉⠁⠉⠄⠀⠀⠀⡲⠀⠀⠐⢄⠀⠈⢷⠀⠀ ⠠⣤⣿⣛⡛⠛⣻⢿⣛⣟⡻⣿⣿⣿⣿⣿⣿⣿⣟⣿⣛⢿⣿⣿⣿⡟⢦⡀ ⡴⠛⢡⡶⠒⡖⠦⢭⣿⣮⣱⣎⣿⣿⡿⠏⠀⠙⡿⠷⠿⣾⢿⣿⢭⡞⡐⣷ ⡇⠀⢺⠠⢾⡟⠲⢤⣀⡀⠠⠤⠄⡖⢂⣀⠀⠀⠙⣦⣄⠉⠉⢰⡄⠠⢃⣿ ⠹⣎⡪⠀⠀⢷⡦⣄⣯⡉⠓⠲⣤⣵⣉⣀⡀⠶⠞⠁⣀⣨⣴⢿⣷⠈⣰⠃ ⠀⠈⢳⡀⠀⠀⠻⣌⡟⠛⠷⣶⣧⣄⣀⣹⣏⣉⣻⣉⣉⣧⣸⣷⣿⠀⣿⠀ ⠀⠀⠀⠳⣄⠀⠀⠈⠳⢤⡀⣸⠉⠉⠛⡿⠻⠿⡿⠿⣿⢿⡿⣿⡟⠀⣿⠀ ⠀⠀⠀⠀⠈⠳⣅⡪⢔⡠⢉⡛⠲⠦⠤⠧⣤⣤⣧⡴⠧⠾⠖⠛⠀⠀⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⣅⡒⠡⠶⠀⣠⡤⠤⠤⠤⠤⠤⠐⢁⠠⠀⢸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⣤⣄⣀⡀⠀⠉⠉⠉⠉⠀⢀⣠⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠓⠒⠒⠒⠚⠉⠁⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣶⣾⣿⣿⣿⣿⣿⣷⣦⣼⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢀⣀⠀⠀⠀ ⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡾⢻⣇⠀⠀ ⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⡿⠟⠋⠀⢸⣿⠀⠀ ⠀⠚⠛⠛⣿⡿⠛⠛⠉⠀⠘⠿⠿⠛⠋⣁⣠⣾⠗⠀⣸⡟⠀⠀ ⠀⠀⠀⠀⣿⣇⣀⣀⡀⠀⠀⠀⠰⠾⠟⠛⠉⢀⡀⢠⣿⣿⣤⠀ ⠀⣀⣤⣾⣿⣿⡍⠉⢻⣦⣀⡀⠀⠀⠀⠀⠀⠙⡷⠻⣿⣿⣿⠀ ⣿⣿⡟⠉⠀⠘⠁⠀⠐⠋⠉⠁⠀⠀⠀⠰⠶⠟⠃⢠⣿⣿⡿⠀ ⠸⣿⣆⠀⣀⣀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿ ⠀⠻⣿⣟⡛⣉⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⠇ ⠀⠀⠙⠿⠿⠿⠿⠛⣿⣷⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣟⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡟ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣤⣤⣤⣤⣤⣽⣿⣿⣿⣿⣿⣿⠟⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠀⠀⠀⠀⠀ ⠀⠠⠀⠀⠄⠀⠀⠀⠀⡀⠀⠀⠀⠀⠊⠀⠔⠀⠡⠀⠀⠀ ⠀⢀⠐⠀⠀⠀⠀⠀⠀⠐⠄⠀⡀⠀⠀⢀⠀⠀⠀⠀⠀⠀ ⠀⠈⡈⠀⠀⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠇⠀⠀⠇⠀⠀ ⠀⠀⠡⡀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠐⠀⠈⢍⣢⠀⠀⠀⠀⢀⡨⠐⠀⠀⠀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⠈⠋⢀⠠⠄⢀⢉⠉⠌⠁⠀⣀⠁⠀⠀ ⠀⠔⠀⠁⠠⢀⠖⠈⠀⠐⠄⠠⠒⠀⢄⡒⠈⠀⠊⠀⠁⠀ ⠀⠀⠀⡀⠀⢠⢠⡈⣤⣤⡀⣨⣄⢠⡀⣍⡀⣀⠀⠀⠀⡀ ⠈⠂⠀⠴⠐⣶⣼⡇⣿⣿⡗⡏⢹⣿⡇⣿⣿⢉⡇⠀⠈⠀ ⠀⠀⠀⠀⠀⠿⠀⡀⠿⢈⢇⣻⣟⡈⢻⣏⣻⠟⣃⠀⣀⡀ ⠀⠀⢰⣿⠿⠿⢿⣿⠀⣿⣿⣿⣻⣿⢻⣟⣻⡧⣿⣄⣿⡇ ⠀⠀⢸⣿⣿⠀⢸⣿⠀⣿⣿⣿⢿⣿⢸⡿⢿⣧⠘⢿⡟⠁ ⠀⠀⢸⡟⠀⠀⠈⢿⣿⠟⠸⡟⠀⠿⠸⠇⠘⠿⠀⠸⠇⠀ ⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⡄⠈⠀⠀⠀⣼⠋⠀⢀⡞⢳⠦⠤⢤⣤⣄⣾⣛⣒⣊⣀⡾⠀⣸⣃⣀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢇⡾⢹⡇⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⡆⠀⠀⣸⠃⠀⢠⠏⣠⠃⠀⠀⢀⣴⠟⠁⠈⠉⠉⢙⡗⠛⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣼⠁⠀⡇⢸⠀⠀⠀⠀⠀⠹⣧⠀⠀⠀⠀ ⠀⠀⣰⣿⡷⠖⢠⡏⠀⣰⠃⡴⠃⠀⠀⣰⡿⠃⠀⠀⠠⠀⠀⣸⠁⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣻⠇⠀⠀⣷⢸⡄⠀⠀⠀⠀⠀⠈⠡⡀⠀⠀ ⠀⠾⠋⣿⠀⣴⣞⣁⠴⢃⡜⠁⠀⢀⣼⠟⠁⠀⠀⠀⠄⠀⠀⣿⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣯⠏⠀⠀⠀⢿⠘⡇⠀⠀⠀⠀⠀⠀⠀⠈⢄⠀ ⠀⢀⠸⠃⠾⣿⡿⠃⢠⡟⠀⠀⣠⡿⢧⣄⣀⠀⠀⠀⠀⠀⠀⡇⠀⣿⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⠀⠀⡰⠀⢸⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳ ⠂⠘⠀⠀⠀⢃⡴⣠⠏⠀⢀⣼⣿⣦⣤⣿⡉⠑⠦⣄⠀⠀⠀⡇⢠⣿⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⢰⠂⠀⢰⡿⠀⠀⠀⠡⠀⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡈⠀⠀⠀⢀⡞⣰⠏⢀⣴⠿⢿⣿⣿⣿⣿⣿⣦⣀⠈⠱⢦⡀⠇⠈⣿⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⣿⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⣇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⢀⡞⣴⠇⢰⡿⠋⠀⠀⣴⣬⣝⠻⢿⣿⣿⣷⣾⠀⠹⡄⢸⣿⠀⠀⠀⠀⠀⣇⠂⠀⠀⠀⠀⠀⢠⣿⠀⠀⡏⠈⣹⣿⢄⡀⠀⠀⠀⠀⠀⢸⡀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡿⣼⢃⡴⠛⠀⠀⠀⣼⣿⡟⠁⠀⢀⣌⡻⢿⣿⣷⣄⡇⠸⣿⡇⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⡞⡏⠀⠀⠀⠀⡟⠀⠙⠛⠓⠦⠤⣄⣀⣘⡇⢱⡀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⢠⡾⣴⣿⢿⠁⠀⠀⠀⣸⣿⣟⠀⠀⢠⣿⠋⢹⣶⣽⣿⣿⡇⠀⡇⣧⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⣸⢻⠁⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠈⠉⢿⠈⡗⠒⠒⠤⠤⣀⡀⠀⣿ ⠀⣾⣽⣿⡇⠘⠀⠀⠀⠀⢹⣦⡭⢥⣔⣛⣿⣆⠀⠀⣠⣄⣿⣿⠀⡇⢸⡆⠀⠀⠀⡇⠀⠀⠀⠀⢀⣇⣿⠀⠀⠀⢠⠏⠀⣠⣤⠤⠤⠤⠤⠠⠤⠄⠸⡄⢸⡀⠀⠀⠀⠀⠀⠈⡿ ⠀⣹⣿⣿⡇⢘⡥⣤⡀⠀⠀⢻⣧⠀⠀⠸⣯⠙⣾⣯⣝⠀⣿⢿⡄⡇⠈⢧⠀⠀⠀⢷⠀⠀⠀⠀⢸⢸⢿⠀⠀⠀⡼⠀⠈⠉⢀⣀⣀⣀⣤⣤⣤⣷⣄⣷⠀⣇⠀⠀⠀⠀⠀⠀⡇ ⢀⣿⣿⣿⠷⣄⠋⣉⢈⣷⣀⠀⠻⣷⣄⠀⠉⠙⠛⠋⠁⠀⠀⠀⢷⣇⠀⠸⡄⠀⠀⢸⠀⠀⠀⠀⡏⡏⢸⡀⠀⢠⡇⠀⠀⠘⣳⣾⣿⣿⣿⣿⣿⣿⣿⣿⣇⠘⠀⠀⠀⠀⠀⠀⠇ ⣼⣿⣿⣿⠀⠈⠉⠉⠉⠀⠀⠉⠛⢾⣿⣤⣄⣀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⢳⡀⠀⠘⡇⠀⠀⠈⢹⠃⠀⡇⠀⣼⠀⠀⠀⣺⣿⣿⠿⠿⠟⣛⠛⠛⠛⠻⢿⡀⠀⠀⠀⠀⠀⠀⣄ ⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠐⠚⠉⠉⠛⠛⠓⠒⠂⠀⠀⠀⠀⠘⣇⠀⠈⢳⡀⠀⢿⠀⠀⡄⡞⠀⠀⣧⠀⡟⠀⢠⠾⠛⠉⠀⠀⢠⣾⡿⠁⠀⢀⣶⣤⣧⠀⠀⠀⠀⠀⠀⢹ ⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠈⢳⡀⠸⡆⢠⢿⠃⠀⠀⢻⣸⠁⠀⠀⠀⠀⠀⢀⣠⡛⠻⠁⠀⢀⣾⠏⠉⢿⣧⠀⠀⠀⠀⠀⢨ ⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⣀⣷⣾⡾⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⠋⠓⠒⣾⣯⣄⠀⠀⠙⣆⠀⠀⠀⠀⢺ ⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠒⠛⠁⠻⣜⣿⡇⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⢸⣿⡆⠀⠀⢿⣷⣻⣆⣴⣾⣾⣧⠀⠀⠀⠘ ⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡎⠀⠀⠀⠀⠀⠙⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠀⠀⠀⠉⠛⠿⠿⠟⠋⠈⢷⡂⠀⠀ ⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣦⡀⠀⠀⠀⠀⠀⠀⣀⣴⣾⡷⣄⠀ ⣿⣿⣷⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠉⠻⠶⠦⣤⣤⡶⠾⠛⠉⠀⠀⠈⣶ ⣿⣿⣶⡀⠈⠙⠲⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠁ ⣿⣿⣿⣷⠀⠀⠀⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣶⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠓⠒⠒⠒⠰⣤⠄⠀⠄⡜⣡⠟ ⣩⣾⣿⣿⣆⠀⠀⠀⠈⢳⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣄⣳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢠⣾⠟⠁⠀ ⣿⣿⣿⣿⣿⣆⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⢀⣴ ⣿⣿⣿⣿⣿⣿⣧⡀⢠⡏⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⡿⠟⠋⠉⠛⠶⣶⣤⣤⣤⡤⠶⠶⠒⠋⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠁⠀⢀⡴⠛⠁ ⣿⣿⣿⣿⣿⡿⠟⢳⡋⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡿⠁⠀⠀⠀⠀⠀⠀⢀⠿⠿⠛⠋⠛⠛⠷⣶⣄⣀⡘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠋⠀⢀⣤⠾⠋⠀⠀⠀ ⣍⣛⣛⣛⣯⣶⣷⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⢀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⢁⣀⣤⡾⠛⠁⠀⠀⠀⠀⠀ ⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⠗⢒⣽⣻⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠋⠒⠓⣽⡿⠿⢿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠐⠚⠉⠁⠀⣠⢞⠕⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⠀⠈⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⢳⡄⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⡭⠉⠳⣖⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⠿⠿⠿⢦⣤⣤⣴⣚⣉⣀⣀⣀⣀⣀⣀⣀⣠⠤⠔⠒⠂⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⣣⠚⠀⠀⠀⢈⡷⠎⠀⠀⠀⠀⠀⢀⣴ ⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠿⣤⣰⣶⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⣰⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⠞⣫⡞⠉⠀⢀⣠⠞⠋⠀⠈⢢⡀⢀⢀⣠⡿⠁

⡤⢤⠤⢤⣄⣤⡀⠤⣤⣤⢤⣤⠤⢤⠤⣤⡤⠤⠤⠤⠤⢤⣤⣤⣤⣤⣀⣠⣤⡤⠤⠤⠤⢤⣤⣤⠤⠤⠤⠤⠤⣤⣤⣤⣤⣤⣤⣤⣤⢤⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⢈⡷⣶⣰⠿⠟⠠⣄⠉⠘⠋⠀⠀⠀⠀⠀⠙⠶⣶⡦⢤⣄⣀⣹⣿⠿⣮⣅⢀⠀⠀⠀⠀⠀⠀⠉⠙⠶⢦⣀⢒⣽⡞⠛⠻⠷⣦⣤⣉⠛⠾⣭⣉⢙⡻⢿⣷⣤⡀⠀⠀⠀⠀⠀⠀ ⢸⢉⣳⣝⡠⢷⣶⣿⣷⡤⠂⠀⠀⠀⠀⠤⠠⢤⣶⡝⠢⣄⠸⠋⠙⠛⠻⠿⣷⣴⣦⠀⠀⠀⢀⣠⣴⣃⣤⡼⠿⣯⣟⡶⣦⣀⠀⠙⠛⠿⣶⣦⣍⣻⣮⣷⣦⣉⠛⠷⢦⣀⠀⠀⠀ ⣼⣜⡿⣷⣤⣀⣤⣽⣸⡇⠀⠀⠀⠀⠀⠁⠀⠀⠈⠻⣦⡬⣿⣄⠀⠀⡤⠚⠀⠙⠻⣷⣤⣶⠟⠋⠉⣹⠟⠀⠀⠀⠙⠿⣿⣝⡳⣤⣀⠀⠀⠉⠙⠻⢿⣿⣿⣮⣟⢦⣀⠉⠑⠤⠀ ⣻⣾⣕⡈⣿⠟⠁⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢮⣿⣷⣄⡇⠀⠀⣴⣠⡾⠟⢀⣤⠴⠋⠁⠀⠀⠀⠀⠀⠀⠈⠙⢿⣷⣭⡳⢦⣄⠀⠀⠀⠈⠙⠻⣿⣿⣯⣷⣄⡀⠀ ⠃⣰⡿⠋⢙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣧⡀⡞⣽⠟⠋⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣷⣮⣑⢦⣄⣀⡀⠀⠀⠉⠻⢿⣿⣿⣦ ⢀⡿⠁⠀⢈⣇⠀⠀⠀⠀⠀⠀⠀⡄⣶⠶⠶⠦⣤⣤⣀⣀⣀⡀⠈⠻⣿⣿⣮⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣷⣮⣙⠿⣷⣦⣀⡀⠀⠉⠻⣿ ⣿⠁⠀⠀⠘⠿⣟⠛⠓⠒⠦⠤⢤⣥⣤⣤⣴⣶⣶⣿⣿⡿⡿⠿⠿⠿⠿⢿⠿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣷⣮⣙⠿⣿⣶⣤⣀⠈ ⡟⠀⠀⠀⠀⠀⠈⠓⣤⡀⠀⠀⣼⠃⠀⢠⢀⣠⠤⠀⠀⠀⠠⡀⠀⠀⣴⠛⠂⠈⠉⠙⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣷⣮⣛⠯⣿⠿ ⡄⠀⠀⢰⡆⠀⠀⠀⠈⠙⢶⣴⡃⠀⣠⠛⠉⠀⠀⢀⣠⣴⣿⠁⢀⡴⠃⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣝⠳⣮⣄ ⡇⠀⠀⠀⠻⣶⣧⣀⣀⠀⣼⡟⠻⣷⣧⣀⣀⡰⣊⡽⠞⣽⠃⠀⣰⠁⠀⠀⠀⠀⠀⠀⣀⡴⠚⠉⢉⠓⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣷⡀⠉ ⣧⠀⠘⠀⡆⡙⣇⠀⠈⢙⡟⠛⣿⠿⠿⠿⣿⡿⡟⢠⡞⠁⠀⣴⠃⠀⠀⠀⠀⠀⢀⡞⠁⢀⣰⣿⣿⣷⣄⠘⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣦ ⣯⠀⢶⡀⠄⠉⠽⣧⠀⢸⠀⠀⠃⠀⠀⣢⡿⣿⠣⠏⠀⠠⡺⠋⠀⠀⠀⠀⠀⢠⠋⠀⣠⣿⣿⣝⡿⣿⣿⣶⣿⣿⣿⣿⣧⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣀⠈⢳⣄⠀⠘⣿⣧⠘⠀⠀⠀⣰⣷⣿⠟⠁⢀⠄⠀⢀⠃⠀⠀⠀⠀⠀⢠⡾⠀⣼⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⡿⠹⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡏⢿⠀⠠⢹⣦⡀⠘⣿⣧⠀⠀⢠⢷⡟⠁⣀⠀⡜⠀⠀⢀⠇⠀⠀⠀⠀⠀⢘⡇⣸⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⠟⠉⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⢷⣯ ⣿⠘⢧⢠⠈⢿⡻⣶⣿⣿⣦⠀⣸⣿⢀⡼⠁⢸⠃⠀⠀⡼⠀⠀⠀⠀⠀⠀⢸⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⢳⣄⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣧⠉ ⣻⣇⢘⢘⢾⣦⡙⠬⡻⣿⣿⣧⡁⡿⠋⠀⠀⠀⠀⠀⠸⠁⠀⠀⠀⠀⠀⠀⠈⢇⠹⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠠⠚⠃⠀⠀⢀⣄⣼⣮⣳⡄⠀⠀⠀⢸⢿⣿⣿⣿⣿⣿⣿⣷ ⡋⢿⡜⢬⡢⡙⢻⣦⡻⣮⣛⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣶⣿⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠽⠋⠀⠀⠙⢦⠀⠀⢸⡞⣿⣿⣿⡿⠿⣟⣿ ⣧⠀⣿⡈⢷⣅⣦⡉⠻⣮⡻⣷⣿⡿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⢋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠋⠁⡠⠀⠀⠀⠀⠀⠈⢣⠀⢸⡤⠸⣿⣵⣶⣿⣿⣿ ⠇⠰⠈⣿⡼⢿⣯⡀⠀⠈⠙⢮⣝⢿⣿⣿⢷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠐⠒⠲⠶⠶⠶⠖⠉⠁⣠⠴⠊⠁⠀⠀⠀⠀⠀⠀⠈⣆⡞⢰⠀⢻⣿⣿⣿⣿⣿ ⠶⣀⣼⣿⣿⣄⢻⣿⣦⠀⡀⠀⠉⠳⢽⡻⣷⣌⡙⠻⠿⣶⣦⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⠟⠀⢸⠀⠀⠹⣿⣿⣿⣿ ⣾⣿⣿⣿⣿⣿⣧⡙⢿⣆⠻⢤⡀⠀⠀⠙⠦⠛⠿⣦⣄⠀⠈⠙⠛⠛⠿⠶⠦⣤⣤⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠞⠁⠀⠀⠈⠀⠀⠀⠈⢿⣿⣿ ⣿⣽⣿⠟⣽⣿⣿⣿⣦⣻⣄⠀⠛⠲⣤⡀⠀⠀⠀⠈⠙⠷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿ ⣿⣿⢩⣧⣿⣿⣿⣿⣿⣿⣿⣦⡀⢠⣌⣓⣦⣄⡀⠄⣀⠀⠀⠉⠓⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠄⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘ ⣿⠃⠈⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣀⡈⠻⢶⡾⠙⣻⠶⣤⣄⣈⡙⠳⢶⣶⡶⠦⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡏⠐⠄⠀⢹⣿⣸⣿⣿⡿⣿⡿⣿⣿⣿⣦⣍⡉⠛⠻⢿⣷⣦⣈⠁⠀⠍⢛⡻⠿⣿⣿⣷⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠄⠐⠚⠀⠘⣿⡟⣿⣿⠃⠙⣧⢻⣿⣿⣿⣿⣿⣷⣤⣄⠀⠈⠙⠟⢷⣦⣄⣉⡙⠓⠂⠭⠛⠛⠿⠿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢄⠄⠀⠀⠀⠻⣿⡿⣿⠀⠀⠘⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣈⡙⠿⣭⣛⠳⢶⣤⣄⡀⠈⠁⠂⠉⠉⢛⠲⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠁⠀⠀⠀⢻⣷⣿⡀⠀⠀⢹⢸⣿⣿⣝⢿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⢻⣷⣄⡀⢍⠻⣿⡷⢶⣤⣤⣀⠀⠀⠈⠉⠓⡶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠀⠀⠀⠀⠀⠀⠹⣿⣇⠀⠀⠀⠻⣿⣿⣿⣯⡻⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠘⢿⣿⣮⡻⣮⠻⣶⡄⠈⠙⢿⣿⣶⣦⣤⣥⣀⡈⠙⠳⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠶⠆⠁⠀⠲⠒⠶⠶⠿⠿⠷⠶⠶⠶⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠻⠿⠿⠂⠀⠀⠀⠈⠛⠿⠿⠾⠷⠾⠿⠶⠶⠶⠿⠿⠿⠿⠆⠈⠉⠛⠿⠛⠛⠛⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠄

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠊⠁⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⢇⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⡞⢀⣉⠁⠀⠈⠁⠘⠠⡀⢸⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠰⣞⠄⠒⠈⠉⠉⠐⠂⠀⠀⠈⠙⡀⠰⡀⠀⠀⠀⠀⠀⢀⣠⡴⣞ ⠀⠀⢀⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣀⠼⠤⠤⠀⠐⢊⡴⠊⠀⣼ ⠀⠀⠮⢤⢒⠒⣒⠒⡲⠖⣒⡒⠁⠀⢀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀⡿ ⠀⠀⣤⠚⠁⡜⢁⢞⣙⡠⠊⠀⠀⡴⠟⠻⢷⣦⡀⠀⠀⢀⢧⠁⠀⠀⡜⠇ ⠀⢼⠁⠀⢸⠀⠈⠸⣺⠁⠀⠀⠈⠀⠀⠀⠀⠙⢻⡆⢀⠌⠎⠀⢀⢎⠎⠀ ⠀⢸⠀⠀⣀⠣⠼⠤⠁⠀⠀⡀⢀⣆⣀⣀⠀⠀⡄⣇⡝⠹⠤⠒⡡⠂⠀⠀ ⠀⠀⢷⠭⠤⠀⣀⡀⠀⠀⠀⠉⠋⠉⠛⠿⣷⣄⠃⠹⣄⣀⡠⠾⠃⠀⠀⠀ ⠀⠀⢎⢦⡀⠀⠀⢈⡱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣢⢬⡶⡉⠀⠀⠀⠀⡰⠋⠀⠀⠀⠀⢀⠠⢺⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⠁⠊⠀⠈⠱⠒⠂⠉⣀⠠⠤⠐⠒⠉⠁⢀⣶⠗⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢫⠗⢄⣀⠔⠁⠀⠈⠁⠀⠀⠀⠀⠀⠀⠰⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠟⠉⠙⠀⠉⠒⠤⡀⠀⠀⠀⠀⠀⠀⠀⣤⠑⠤⠤⢤⣤⣀⡀⠀⠀⠀ ⡰⠁⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠒⠤⢀⣀⣠⠏⠀⠀⠀⠀⠀⠉⢶⡀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠑⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡴⠳⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠖⢿⡋⠁⠀⠀⠀ ⠀⠀⠀⠀⣸⠃⣼⠒⢮⡳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⡭⠟⢳⠈⢧⠀⠀⠀⠀ ⠀⠀⠀⢠⡇⠀⡇⠀⠀⠑⣌⠑⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⣡⠞⠁⠀⢸⡆⢸⡄⠀⠀⠀ ⠀⠀⠀⢸⡇⠘⡇⠀⠀⠀⠈⢧⠀⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⡼⠁⠀⠀⠀⢠⡇⢸⡇⠀⠀⠀ ⠀⠀⠀⠸⡇⠀⡇⠀⠀⠀⠀⠈⢧⡀⠹⣄⣀⡤⠤⠤⠒⠒⠒⠦⠤⢤⣀⣀⡏⠀⡼⠃⠀⠀⠀⠀⢸⠃⢸⠇⠀⠀⠀ ⠀⠀⠀⠀⢻⡀⠹⡄⠀⠀⠀⠀⠀⣀⡼⠋⠀⣠⡶⠀⢀⡄⠀⠀⠀⠀⠀⠉⢻⣦⡀⠀⠀⠀⠀⢀⡟⠀⡼⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣧⠀⠻⠄⠀⠰⣶⣾⠥⠖⠚⢉⡽⣁⡴⢻⠁⢠⡇⠀⡿⢤⣀⠘⡟⠿⠶⠦⠀⠀⠾⠀⣸⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢧⠀⠀⠀⠀⠘⠁⢀⣴⣶⣿⠋⠁⢠⡟⣰⠋⢹⢰⠃⢠⣾⣽⣇⠀⠀⠀⠀⠀⠀⣶⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡁⠀⠸⡿⠁⠀⢸⡟⠀⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⣤⡀⠀⠸⣿⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣼⡇⠀⢀⣠⡀⠀ ⠀⠀⠈⢿⠲⡤⠁⠀⠀⠀⠀⠀⠀⠈⢿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡿⠃⠀⠀⠀⠀⠀⠀⠈⠤⠴⣻⠃⠀⠀ ⠘⣦⣄⣈⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⢃⣠⣴⠖ ⠀⠈⠙⠯⣅⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⡋⠉⠰⣿⣿⣿⡆⠉⢙⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⠿⠊⠁⠀ ⠀⠀⠀⠀⠀⠀⠹⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠈⣿⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⣤⣄⡀⠀⠀⠀⠀⠙⠳⠶⠛⠶⠶⠋⠀⠀⠀⠀⠀⣠⣤⡴⠚⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠦⠄⣶⠦⠤⠦⠤⠤⠤⠤⢶⠠⠴⠒⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⣰⡄⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣤⣴⣿⣠⠤⠤⠴⠶⠲⠶⠤⠤⡟⠀⠀⣸⠉⣧⡀⠀⠀⠀⠸⡦⠤⠴⠖⠲⠦⠤⠤⣄⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⢹⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢹⣄⠈⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⣉⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀ ⠀⠀⠀⡀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⢠⣿⡯⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⡐⢡⣿⡟⠁⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⢀⠌⢀⣿⣿⠎⠀⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠒⠐⠅⡀⣼⣿⠏⠀⠸⠀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠋⠃⠀⠀⡆⠜⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡀⠀⠀⢰⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡇⠀⠀⡆⠀⠀⠀⠊ ⠀⠀⠀⠀⠀⠀⠀⢾⣿⠄⠀⠀⣾⣿⣇⣰⣶⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣼⣿⣿⡇⡟⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡆⠵⠀⣾⠆⠀⠀⠀ ⠐⠀⠤⠄⣰⢀⠀⠀⠀⢀⢠⣿⣿⡟⠇⠇⠀⠀⠀⡀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠁⠐⠚⣿⣟⣿⣋⡙⠀⠀⡠⠊⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⢿⣿⠧⠄⠊⠀⠀⠀⠀⠀ ⠀⠄⣀⢌⣑⣂⣄⣀⣠⣶⡟⠁⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀

⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢂⣴⣿⣟⣦⠀⢀⣄⣤⡀⠀⠀⢀⢠⢀⠀⠀⢸ ⡇⠀⠀⠀⠀⠀⠀⠀⢀⠐⣀⣴⣿⡏⠉⠫⣃⡱⢄⠁⠿⠗⠯⠿⠏⠸⠫⠀⠀⢸ ⡇⠀⠀⠀⠀⠀⠀⣔⡥⠚⠁⢸⠁⠀⠐⠑⠁⡸⢾⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⡇⠀⠀⠀⣀⡤⠕⠁⠀⠀⠀⢀⠄⠀⠀⠀⢀⠢⠇⡼⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⡇⠠⣤⠞⠋⠀⠀⠀⠀⠀⠀⢸⠈⣆⠀⠀⠀⡄⢠⣳⠇⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⡇⠈⠉⠀⠀⠀⠀⠀⠀⠠⠴⢾⣠⡿⠒⠀⣀⣿⠞⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣝⡡⠋⠁⠉⡆⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠠⠤⠤⠀⠤⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡠⠔⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠑⠶⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠴⠋⠀⠀⠀⠀⠀⠀⠀⢀⢴⣶⣶⣶⣦⣄⣄⠙⢶⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⡿⠁⠀⠀⠀⠀⠀⠀⠀⡐⣾⣿⣿⣿⣿⣿⣿⣷⣿⣮⡙⣦⡀⠀⠀⠤ ⠀⠀⣠⠋⠀⠀⠀⡇⠀⠀⠀⠀⣞⣾⣿⣿⠁⢸⣿⡏⣿⢿⣿⣿⣿⣾⡿⣄⢮⠊ ⢀⠔⠁⠀⠀⠀⢠⠀⡘⠀⠀⣰⣿⣿⢸⣹⡀⠘⡟⢹⣹⣣⣿⢿⣿⣿⣿⣯⣿⡿ ⠂⠀⠀⠀⠀⠀⡜⡔⠀⠀⢰⣿⢯⣿⢸⢿⣇⣸⡇⢸⣿⢿⣿⣇⢿⣿⣿⣿⣿⢁ ⠀⠀⠀⠀⠀⢠⡟⠀⠀⢠⣻⡟⣿⢹⡼⠊⣿⠀⠁⢸⢾⠈⣼⣟⡏⣿⣿⣿⢃⠇ ⠀⠀⠀⠀⠀⣾⠁⠀⢠⣣⡿⣿⢿⠘⡇⠀⠏⡄⡆⢸⢈⣤⣽⣿⣷⣿⣿⡿⢸⠀ ⠀⠀⠀⠀⡼⡁⠀⡰⣿⡿⣵⢷⡿⢿⣿⣷⡮⣷⣧⡁⠟⡟⣿⡷⣿⡿⢿⣿⢈⢇ ⠀⠀⠀⡰⢡⠁⣜⡝⠹⡀⡷⡊⠀⣇⠈⢻⡇⠀⠀⠁⠀⢳⡿⠰⡹⢣⢤⣿⢸⡄ ⠀⣠⠴⠁⢇⣸⡿⢿⣄⠨⠇⠀⠐⠈⠉⠋⠀⣀⠀⢀⠀⠀⣶⠏⣰⡃⢰⡟⢸⡇ ⠹⠷⣄⠀⠀⢺⣷⣷⡎⡟⢿⣷⣦⣄⣀⣀⠀⠁⢀⣁⠤⠾⠿⠾⠏⣠⣾⣇⡼⠁ ⠀⠀⢋⠑⠢⢄⡻⠻⢿⣛⠋⣩⣭⣽⡿⠿⢿⣽⡿⣳⣶⠾⢿⠚⠉⠛⠉⠉⢳⡂ ⠀⠀⠀⢆⠀⠀⠈⡽⢻⠙⠋⠁⠀⠬⠿⡋⠒⢿⡿⣴⣝⢢⣈⣹⢢⣀⠀⢀⠆⠱

⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⠁⢃⠱⣿⣿⣿⣿⣿⡇⠀⢠ ⠀⠀⢸⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡿⠀⠈⣆⢹⣿⣿⣿⣿⣧⠀⢸ ⣀⠀⣾⣿⣿⣿⣿⣿⣼⣿⣿⡟⣾⣿⡿⢃⣾⣿⣧⣒⣉⡈⢾⣿⣿⣿⣿⣿⠀⡿ ⣰⢾⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⡻⠋⠀⠪⠓⢉⡷⣶⣶⠶⣭⣿⣿⣿⣿⣿⣧⠃ ⠀⣼⣿⣿⣿⣿⣿⣏⠙⠠⢪⠿⠉⠈⠆⠀⠀⠀⠀⠛⠋⠘⠁⣿⣿⣿⣿⣿⣯⠀ ⡀⣿⣿⣿⣿⣿⣿⣻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡿⠿⣰ ⢜⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣇⣿⣿⣿⡗⠒⣿ ⣿⢻⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠤⠤⠤⠄⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⣹ ⣿⣾⣼⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿ ⣟⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣦⣤⣴⠞⠁⢂⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣟⣿⣿⣿⣿⣿⣿⣼⡿⣿⣿⠟⠛⠿⠾⣿⣿⣶⡾⠟⠋⢻⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣏⣿⣿⣿⣿⢿⣧⡟⠁⠀⠀⠀⠘⡀⠈⠀⠀⠀⠀⢸⣿⡿⣿⣿⣿⣿⣿⣿ ⠋⠉⠉⠁⡈⢠⡉⡾⣿⡇⠠⠤⠤⠤⢀⠁⢀⡀⠀⠀⢀⣿⣿⣀⣀⡏⢹⣿⣿⣿

⠀⠀⠀⡴⠉⠉⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡜⠀⣴⠀⢰⠀⢠⢤⠀⠀⢠⢄⣠⠆⠀⠀⠀⠀⠀⡴⠀⢀⣠⠀⠀⠀⠀⠀ ⢀⠞⠀⡜⢹⠀⢸⠀⠸⡆⡛⠇⠸⠼⠻⠁⠀⠀⠀⠀⡜⠁⠠⠋⠁⠀⠀⠀⠀⠀ ⡎⠀⠼⠤⠞⠀⠸⢄⢸⡉⠳⡖⡆⢠⢲⢰⢢⢒⢢⠀⡴⡶⣀⣤⡖⣾⣿⠀⠀⠀ ⠧⠤⠤⠤⠤⠀⢠⠼⠀⡇⠀⡇⡇⢸⢸⢸⢸⠈⢆⢻⠜⠻⡧⣈⡉⢴⣼⠀⠀⠀ ⠀⠀⠀⠀⢃⠀⣸⢔⡒⢃⠇⢇⠘⣊⣸⢸⡀⠓⣼⠭⣛⢰⡦⣈⠁⣲⡼⠀⠀⠀ ⠀⠀⠀⠀⠈⠁⠁⠀⠉⠁⠀⠀⠉⠀⠉⠈⠉⢩⣏⡉⠉⠙⠢⢟⡱⡦⠇⣠⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠿⠇⠀⢶⡆⢸⡆⠀⠀⣠⠃⠀⢀⣀⡉⠉⠁⡿⠾⠀⢈⣣⡴ ⠀⠀⠀⠀⠀⠀⠀⡀⠀⡤⠀⠀⢸⠀⠀⡰⠁⠤⠤⠤⢀⣀⠉⡝⠀⢀⠴⠛⣁⠀ ⠀⠀⠀⠀⠀⠀⠸⠿⠀⢰⡇⢷⠈⠀⡜⠓⠒⠒⠀⠤⠄⣀⠞⠻⣏⣁⠀⠈⠟⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠘⢀⡎⠉⠉⠁⠒⠒⠠⢤⠃⠀⠛⣉⣉⣁⡀⠀⠀ ⠀⠀⠀⠀⢀⣀⠀⢶⡀⠈⠀⢠⠏⣀⣀⣀⠉⠁⠐⡲⠁⠀⠒⠉⠉⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠋⠀⠀⢇⠀⡰⠥⠤⠄⢀⣀⡀⠉⡝⠐⡽⠀⣠⠶⠛⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⣒⠒⠀⠤⠄⠀⣀⠏⠀⢀⣀⠈⠀⠰⠷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡐⠒⢉⠖⠛⢷⡶⡀⢤⠋⠀⠈⣉⣉⣤⣤⣤⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢤⡒⠉⢠⡇⠀⠀⣀⡗⡞⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡜⠁⠼⢺⡶⢷⠋⢱⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡜⣀⡔⢀⠀⢀⠀⣄⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠐⠋⠀⡷⠻⡴⠁⡟⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡰⠡⢀⣟⡧⠿⠓⠛⠛⠥⢖⣤⣩⢳⠤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢔⠡⡤⠄⠀⠀⠀⠀⠀⠀⠀⡠⡀⠈⠻⣿⠀⠘⠄⠀⠀⠀⠀ ⠀⠀⠀⠘⢡⡊⢀⠐⣿⣛⣢⣀⠠⢰⠩⠒⢙⣦⣆⢡⢣⠀⠘⡄⠀⠀⠀ ⠀⠀⠀⠀⢰⠋⠀⡘⠀⢰⣹⠇⠀⡎⠀⢠⢡⣿⡿⢸⢸⠀⠀⢡⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⢀⠇⠀⠘⡟⠀⠐⡄⠀⠸⡘⡿⢀⢸⡎⠀⠀⠘⡀⠀⠀ ⠀⠀⠠⠦⡎⢰⢃⠎⢁⠩⢈⠃⠀⠈⠒⣒⣊⠀⠈⢛⠟⣵⠀⠀⠈⢢⠀ ⠀⠀⠀⠠⢁⢘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠣⠞⠀⡀⢒⠆⡹⠀⠀⠀⠀⠆ ⠀⢀⣴⣥⣾⡛⠫⡑⠤⢀⡀⠀⠀⠀⠀⢀⡠⠔⠉⠒⠈⠀⠀⠀⠀⠀⠀ ⠀⣿⡟⠋⢙⣻⡆⠈⡆⢀⠔⣟⣫⠝⡹⠂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢆⠹⣧⣦⣬⣿⢃⠔⠉⣭⣿⠊⡆⡐⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠁⠪⢵⣾⣓⡨⠒⠈⠏⠗⠠⠳⡝⢔⡺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⢡⠀⡌⡆⠀⠘⣀⣎⡔⠑⠂⡜⠀⡐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⠂⢠⠋⠕⣲⣆⡤⢀⣀⡀⠈⠀⡐⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠿⠷⠶⣤⣀⡀⠀⠀⠀⣀⣠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⣠⣶⠀⣉⣿⣶⣶⣿⠟⠁⢀⣀⣤⣤⣤⣴⣶⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣾⣿⡾⠛⢋⣠⣾⣿⠿⠟⠟⠛⣋⣩⣴⣿⣯⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡇⠀⠀⣴⢿⡿⠋⢁⣠⠶⠛⠉⠀⢀⣀⣴⣶⠾⠟⠩⠝⠿⢿⢿⢿⣿⣟⣉⡉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⢸⣿⣠⡾⠁⠈⢀⣴⣾⠯⢶⣰⣾⣿⣿⣿⣿⣿⣿⣷⣶⣶⠈⠈⠛⢿⣦⣿⣿⣿⣷⣶⣤⣀⣀⣀⣀⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣼⣿⡟⢀⣴⣾⠟⠁⠀⠛⠛⢉⣉⣁⣤⣤⣤⣬⣭⣭⣽⠿⠛⠀⠐⢊⣇⣐⣠⣤⣮⣭⣽⣉⣯⣿⣿⠟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣀⢸⣿⣿⢘⣿⡿⠟⣁⣠⣤⣶⣾⣿⠿⠛⠛⠛⠯⠍⣩⠉⠉⠉⠀⠀⠶⠶⢾⣼⢾⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣶⣿⣿⣟⠻⢶⣶⣿⣦⠴⢦⣦⣄⣀⣉⠀⠀⢠⣄⣀⠀⠀⠐⠒⣒⣭⣭⣽⣿⣛⣿⣿⣿⣿⣿⡶⠖⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠖⠛⠉⠙⣿⣿⣿⣿⣿⠿⠿⣷⡦⢯⣭⣀⠀⠀⣶⣭⣍⡀⠀⠀⠈⠙⠷⠶⣦⣄⡀⠉⠻⣿⣿⣿⣿⣿⣿⣋⡁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠞⠋⠀⠀⠀⠀⠀⢸⣿⣿⡿⠉⣧⠀⠀⠹⣿⣆⣬⡛⢣⡄⠀⠈⠻⣿⡻⢷⣦⣤⣀⠀⠈⠛⠿⣷⣾⣍⠉⢻⣿⣿⣟⠛⠛⠛⠒⠀ ⢠⣤⣤⣤⣤⣴⣶⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡇⢸⣿⠀⠀⣀⣿⣟⠿⣿⣶⣄⡀⣄⡀⠈⢿⣦⣄⣈⠙⠛⠷⢶⣤⣀⣈⣛⣿⣿⣟⣿⣿⣟⠦⠀⠀⠀ ⠀⠹⢿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⠇⢸⣿⡀⠀⣿⣿⣿⣤⣈⣛⣿⣿⣾⣅⣠⠀⠙⣿⣿⡿⢶⣦⣄⣉⠻⢿⣿⣿⣿⣿⡿⢿⣿⣷⡀⠀⠀ ⠀⠀⠈⠙⢿⣿⣿⣦⡀⠀⠀⠀⠀⠀⣀⣤⡶⠛⣹⣿⣿⡆⣾⣿⡇⠀⣿⣿⡿⠟⠋⠉⠉⠉⠛⠿⣿⣮⣀⠈⢿⡇⢰⣿⣿⣿⣿⣶⣍⡻⣿⣿⣿⣦⡈⠉⠻⣄⠀ ⠀⠀⠀⠀⠀⠈⠛⠿⣭⣛⠛⠛⠉⢉⣭⣀⣤⡾⢿⡿⣿⡇⠋⠸⣿⠀⣿⣿⠀⠀⠀⢠⣤⣾⣿⣿⣶⡌⠙⠻⣿⣷⡀⢻⣿⡟⠁⢿⣿⣿⣿⣿⡎⠙⠻⢷⣤⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢛⣿⣿⣿⣿⣥⣶⣾⣇⣿⢷⡇⠀⣿⣷⣿⣿⣇⣤⣾⣿⣿⣿⣿⡿⢿⣷⡤⠘⠁⠉⠛⠂⠉⠛⠶⣼⣿⣿⣿⣿⣟⠃⠀⠀⠀⠉⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣷⠀⣸⣿⣿⣿⣿⠙⠻⠿⠿⠯⠾⠷⠚⡹⠃⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢀⣴⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⡟⢸⣿⡟⣿⣧⠀⠀⠀⠀⢀⡤⠞⠁⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣇⠈⠻⣧⡀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⣿⣿⣿⢻⣿⣿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠿⠋⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⢡⣿⣿⣿⣄⡀⠈⠓⠀⠀⠀⠀⠀⢀⡠⠄⠀⠀⠀⢀⠀⠀⢀⣹⣦⣾⣿⣿⡜⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠺⣶⣶⣶⣦⣾⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣶⣦⣄⣀⣀⣀⠀⠘⠿⣦⣖⣀⣀⣁⣠⠴⠋⢹⣿⣿⣿⢿⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣈⠉⠉⠉⠁⠀⢀⣼⣿⣿⣿⠈⢻⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣤⣤⠼⣿⣿⣿⣿⣿⠀⠀⠙⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⠛⠿⠛⠛⠛⠿⠿⠿⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠈⢿⣿⡁⠙⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⡅⠀⠀⠀⠈⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠛⠻⠿⢿⣿⣿⣿⣿⡿⠟⠻⠉⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠙⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⢿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣾⣿⡿⢉⣾⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡞⣿⠁⣿⠃⢠⣴⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⢰⣿⡀⠰⠿⠀⠀⠀⠀⠀⠻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⠻⠿⠿⠿⠿⠿⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣷⢸⣿⣧⢠⠀⠀⠀⠀⠀⠀⠀⣿⣿⣦⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡟⠛⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣏⠳⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⠀⢻⣿⣄⠂⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⢿⣿⣿⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⠄⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⡆⠙⠻⣿⣿⣿⣿⣷⣶⣦⣴⣶⣾⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⡄⠈⢿⣿⣆⡀⠀⠀⠀⠀⠀⢈⣿⣿⣿⣷⡀⠀⠀⠉⠻⠿⢿⣿⣿⣿⣿⣿⣿⣽⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣍⡄⠈⠻⣿⣅⡤⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢠⣤⣍⠉⠉⣛⣉⠉⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣦⠀⠀⠙⣿⣧⣤⣤⣶⣶⣾⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⣿⣿⣿⣧⠀⣿⣿⣧⢸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢿⣇⠀⢰⡞⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠘⢿⡟⢿⠀⠻⣿⣿⡎⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⢀⠀⢀⣀⣠⣤⣤⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣠⣤⣤⣤⣤⣀⠲⢦⣄⡀⠀⠀ ⡶⢟⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠰⣷⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣬⡛⢷⣔ ⣾⡿⠟⠋⠉⠁⠀⡀⠀⠀⠀⠀⠈⠉⠉⠙⠛⢻⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠈⠙⢛⣛⣛⣛⣛⣉⢉⣉⡀⠀⠀⠀⠀⠀⠈⠉⠛⢿⣷⣝ ⠃⠀⠀⠀⠀⠀⠀⣛⣛⣛⣛⣛⣛⢛⡛⠛⠛⠛⣰⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣌⠛⠛⢛⣛⣛⣛⣛⣛⣛⣛⣓⣀⠀⠀⠀⠀⠀⠈⢻ ⠀⠀⠀⢀⣤⡾⠛⢻⣿⣿⣿⡿⣿⡟⢻⣿⠳⠆⠘⣿⣦⠀⠀⠀⠀⠀⠀⠀⣰⣿⠁⠐⠛⣿⡟⢻⣿⣿⣿⣿⢿⣟⠛⠻⣦⣀⠀⠀⠀⠀ ⠀⠀⢴⠿⣧⣄⣀⣘⣿⣿⣿⣿⣿⡿⣀⡙⢷⠀⢀⡿⠁⠀⠀⠀⠀⠀⠀⠀⠈⢻⡖⠀⣾⣋⣀⣺⣿⣿⣿⣿⣿⣏⣀⣤⣴⠿⢷⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠙⠉⠉⠉⠉⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠆⠀⠀⢀⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⠟⠁⠀⠀⠀⣾⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣤⣤⣴⣶⣾⠿⠛⠋⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠛⠛⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠀⠀⠀⠀⠀⠀⠀

⠴⠿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⢿⡟⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡷ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⠋⢿⣿⣿⣿⣿⣿⣘⣷⠸⣿⣿⣿⣿⣿⣿⣗⣹⣿⣿⠁ ⠀⠀⡿⢸⣿⣿⣿⣿⣿⣒⣘⣏⢿⣿⣿⣿⡇⠽⣶⠟⠿⡛⢿⣿⢿⡇⢹⣿⡟⠅ ⠀⠀⠃⠈⢿⡌⢿⣿⣯⠏⠉⠉⠃⠙⠻⡿⢿⡀⠈⠂⠀⠀⠊⠇⠈⣡⣎⡿⠁⠀ ⠀⠀⠀⠀⠀⠃⠀⠡⣳⠁⠀⠀⠀⠈⠀⠀⠀⠉⠂⠀⠀⠀⠀⡌⣿⣿⡏⠡⡀⠀ ⠀⠀⠀⠀⠀⠐⡤⢄⠀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⢁⢿⣿⡣⡀⠈⠢ ⠀⠀⠀⠀⢠⠸⠾⡏⠐⠀⠁⡀⠄⡻⠴⠐⠶⠂⠁⠀⣠⠞⠀⠀⡸⢹⠓⠀⠀⠀ ⠀⠀⠀⠀⠇⠀⠀⠈⠀⠀⠈⠀⢁⢤⡀⠀⠀⢀⣠⠞⠉⠀⠀⠀⠀⠘⢆⠀⠀⠀

⠀⡔⠹⡆⠀⢀⠊⠀⠀⠀⠀⠀⡀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠈⡀⠰⠈⢟⠻ ⡜⠀⠀⢻⡴⠁⠀⠀⠀⠀⠠⠊⠀⢀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⢂ ⠃⠀⠀⢠⠃⠀⠀⢀⠀⣰⠁⢀⡔⠁⠀⢀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⡌⠀⠀⠀⡈⠠⡇⢱⠎⡀⠀⠀⠸⠀⠀⠀⠀⠄⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠔⠃⠀⡇⠀⠀⠀⣇⣿⡴⣇⣀⠈⢂⢄⠀⠆⠀⠀⡘⡘⠀⠀⠀⡀⠀⢠⢃⠀⠀ ⢀⠀⠀⡇⠀⠀⠀⢿⣿⠒⣲⢬⡙⢦⣢⠙⠲⡀⡔⡔⠀⠀⢀⠔⠇⡠⠃⢸⡠⠀ ⠃⠀⡰⢱⠀⠀⠈⡜⡈⠁⠐⠊⠀⠈⠛⠀⠀⢡⢩⠀⣀⠜⠓⠐⠮⡤⠀⠈⠁⠀ ⢠⡞⠇⠀⢣⠀⠀⠈⠺⣆⠀⠢⠀⠀⠀⠀⠴⠥⠻⡟⣿⠀⣠⢀⣴⠀⠀⠠⠀⠀ ⣹⢹⠀⣶⡀⢱⠤⣀⠢⡠⠭⠔⠃⠀⠀⠀⠀⠀⠀⠈⠘⠛⠿⠿⡗⢀⠄⡆⠂⠀ ⠇⠈⡄⡇⠑⢌⡄⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠵⡆⢀⣷⢇⠜⡄⣄⠔ ⠀⣰⠑⣄⣵⡀⣷⣄⠀⢓⠁⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠁⡸⢳⠃⢀⢣⡇⠀ ⣴⠣⠴⠿⢿⣷⣿⣿⠢⡇⠑⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠈⢦⠌⠘⠁⠀ ⠀⠀⠀⠀⠀⠈⢻⣿⣽⡇⠀⠈⢣⡀⠀⠀⠀⣀⡠⢐⡬⠒⠊⡇⢄⠈⠢⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⡿⠇⢸⣷⣤⡙⢷⡖⡋⢥⠜⠁⣀⣀⢰⠃⠀⠑⡠⠀⠁⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⢫⢺⢘⣿⣿⣿⣮⡯⢻⣧⣶⣿⣿⣏⣏⡀⠀⠀⠈⠐⢄⡀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠢⠄⠀⠀⠀⠀⠀⠀⢀⠀⠂⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠒⠂⠉⠀⠂⠀⢦⠀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⡤⠔⠈⠀⠈⠂⠀⠀⠀⠀ ⠠⣀⣀⣀⡀⠉⡴⠉⣀⡎⢀⡀⣀⣀⠀⠀⢆⣀⣠⡆ ⠀⠀⠈⠁⢰⡞⠠⠂⠈⠀⠨⠐⠢⢄⠀⠀⠀⠹⠟⠀ ⠀⠀⠀⠀⢢⠀⠀⡆⠀⠀⠀⡆⠀⠀⠂⠀⠠⠀⠐⡨ ⠀⠀⠀⠀⠀⢀⡆⢀⢀⠀⠀⠀⠀⠀⠀⠀⢀⠁⣈⠀ ⠀⠀⠀⢄⣶⣏⠀⠈⠀⠀⠀⣀⣤⣴⣾⣿⣿⣾⠁⠀ ⠀⠀⠀⠀⠿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⢐⣿⡿⢿⠛⠁⠀⠀⠀⢀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠐⠍⠀⠀⢁⠀⠀⠀⠀⠀⠉⠀⠀⠀ ⠀⠀⠀⠀⠈⠀⠀⠂⠄⠊⠄⠤⠐⠒⠒⠀⠀⠐⠈⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⡁⠶⠂⠀⠀⠀⠀⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠛⠡⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡏⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣯⠭⠙⠋⠀⠀⠀⠀⠀⠀⡀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡿⢭⠓⠀⠀⠀⠀⢰⡉⡽⣿⡁⡀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣧⣽⣇⣀⡀⠀⠀⠈⠉⠀⠀⠈⠁⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣯⣥⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠒⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡦⢄⣀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⡏⢻⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⢿⡛⢫⣸⡗⢧⣀⠀⠀⠀⢀⡹⢆⠱⣷⣧⡬⢛⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠷⠶⣛⠻⢿⣏⠼⡀⠈⢹⠛⢻⢀⡠⠓⠻⠯⠖⠉⢿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡟⢠⠄⠀⢩⣳⠒⠒⠈⠉⢻⣀⣨⢿⠀⠀⠀⠀⢠⡀⢸⣿⣿⣿⣿

⠀⣠⣶⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⢿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡏⢀⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⣠⣤⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣟⣋⣼⣽⣾⣽⣦⡀⠀⠀⠀ ⢀⣼⣿⣷⣾⡽⡄⠀⠀⠀⠀⠀⠀⠀⣴⣶⣶⣿⣿⣿⡿⢿⣟⣽⣾⣿⣿⣦⠀⠀ ⣸⣿⣿⣾⣿⣿⣮⣤⣤⣤⣤⡀⠀⠀⠻⣿⡯⠽⠿⠛⠛⠉⠉⢿⣿⣿⣿⣿⣷⡀ ⣿⣿⢻⣿⣿⣿⣛⡿⠿⠟⠛⠁⣀⣠⣤⣤⣶⣶⣶⣶⣷⣶⠀⠀⠻⣿⣿⣿⣿⣇ ⢻⣿⡆⢿⣿⣿⣿⣿⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠀⣠⣶⣿⣿⣿⣿⡟ ⠈⠛⠃⠈⢿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠋⠉⠁⠀⠀⠀⠀⣠⣾⣿⣿⣿⠟⠋⠁⠀ ⠀⠀⠀⠀⠀⠙⢿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠻⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠶⠊⢉⠉⠁⠀⠉⠓⠠⠤⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡀⠀⠔⠉⠁⣢⠮⢤⠔⡡⡔⠉⢆⠀⠀⠀⠀⠀⠀⠒⠦⡁⠀⠀ ⠀⠀⠀⠀⢀⣀⠬⠐⠊⢹⢀⠔⠁⢈⠞⠁⢀⡌⠐⢄⡀⠀⠀⠀⠀⠀⠀⠑⠀ ⠀⠀⣲⠉⠀⢘⠤⠤⠔⡟⠃⠀⢀⠊⣠⢾⠟⠳⣆⡀⠉⠢⣔⠤⠀⠀⠀⠀⠀ ⠀⠀⡇⠇⠀⠛⠈⠋⠞⠀⠀⢀⡎⣸⣡⠷⣶⣦⣌⠛⢶⣦⣄⣵⠢⣀⠀⠀⠀ ⠀⠠⠧⣄⡀⡀⠀⣸⠀⠀⢠⢸⠀⢸⠧⢘⡹⢋⡇⠀⠀⢸⡿⣯⢱⣄⣧⠀⠀ ⠀⣀⡴⢫⢁⣷⢧⣿⠀⠀⠘⠘⡰⣿⡀⠀⠈⠉⠑⢄⢀⣀⡙⢄⠀⡹⠁⡞⠀ ⠐⠩⠄⣒⣛⠃⢳⢟⢆⠀⠀⠀⠡⠡⠣⠀⠈⠢⡀⠀⠈⠛⠃⠜⡠⠁⡜⣇⡄ ⠀⠀⠀⠨⠢⡠⠄⢸⠋⠣⣀⠀⠀⠀⠐⢵⣄⡀⠘⢷⣿⣿⢃⠎⠀⠠⣋⣹⠁ ⠀⠀⠀⠀⠀⠈⢰⠃⢀⠎⠀⠙⡦⡀⠀⠀⠻⢍⠑⠂⠀⣰⠁⠀⠀⠀⠈⠊⢧ ⠀⠀⠀⠀⠀⣰⠃⠀⡎⠀⠀⠀⠘⠇⠀⠀⠀⢉⠿⠿⠿⢓⠤⢀⣀⣀⣠⠀⠈ ⠀⠀⠀⠀⠰⡏⡰⠎⠑⢦⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠁⠂⠨⠢⡀⠀⠀⠀ ⠀⠀⠀⠀⠁⣸⠁⠀⠀⢸⡀⠀⠀⠀⠀⠀⢀⠆⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⡀⡀⠀⠀⠀⡀⡀⠀ ⠄⠒⠄⢠⢤⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢄⠐⢦⠀⠱⠇⡎⠁⠀⢀⠄⠀ ⢀⠤⠃⡇⡌⠀⠀⠀⠀⡀⠀⠄⠀⠲⢄⡀⠀⡀⠀⢳⡈⣆⠀⣇⡇⠀⠓⢲⠀⡄ ⠈⢈⠀⣷⠁⠀⠀⠀⢠⠁⠐⠀⢰⠀⠀⠹⣂⠐⠌⢆⢳⢹⠀⢸⠀⢠⣖⠭⢤⠁ ⡮⠑⠉⡏⡆⠀⡆⡆⠘⠀⡆⣸⢼⠤⠀⢀⣘⣵⡌⢾⣎⣺⡀⢸⠀⠀⢀⣀⡜⠀ ⢀⠠⠘⡇⡃⠀⡇⢇⢠⢸⢀⠃⣘⣦⢔⠰⢤⡈⢿⢦⣫⣍⢃⠸⠒⠈⠁⠀⠀⠒ ⠀⠀⠀⢳⡇⢐⡁⣸⡘⣸⢸⣸⠃⠁⢻⣧⠀⠃⢘⡇⢫⡟⣸⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⡷⡈⣇⣿⣿⡝⣿⢫⠀⠀⠈⠟⣠⣶⠈⢁⣾⡕⡇⡇⠀⠀⠀⠀⢀⢀ ⠀⠀⠀⠀⠘⠔⠿⣼⠳⠘⡋⠀⡀⠀⠀⠉⠉⠁⠀⣼⢭⢡⡇⣇⠀⠀⠀⠀⢸⡈ ⠀⠀⠀⠀⢀⡜⣼⣟⡧⡑⢄⠁⠒⠂⠦⢀⠀⣠⣞⠌⢸⢸⡇⢿⡄⠀⠀⠀⠈⠀ ⠀⠀⠀⠀⢨⣇⠿⡿⣥⣿⣆⠁⠀⠀⠀⠀⠙⢥⡀⠐⠋⡾⢽⡬⡛⡀⠄⠀⠀⠀ ⠀⠀⠀⠀⢯⠞⢺⡒⡮⡼⣎⣙⢆⠄⡀⠀⠀⠀⢹⣦⡺⠿⠀⠈⣩⣟⡁⠁⠀⠀ ⠀⠀⠀⢀⡃⠀⠀⠈⠩⡃⢹⢖⢲⢗⣲⣿⠂⠀⠀⣿⣿⣦⠀⢀⠀⠂⠥⠣⠀⠀ ⠟⠀⠀⠣⣠⠀⠀⠀⠀⠀⠩⢁⡪⣍⠉⣿⠀⠀⠀⢹⣿⣿⣧⢌⡳⣮⠍⠘⠀⠀ ⣀⠀⠀⠀⢾⢢⠀⠀⠀⠀⠀⠙⡧⠏⠀⢸⠀⠀⠀⢸⣿⣿⣿⣇⠉⢿⡌⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣄⣀⣀⠀⠀⠀⠀ ⠀⠀⣀⠀⠤⠂⢐⣒⣀⣉⣥⣤⣤⡤⡴⠶⠟⡶⣖⠒⠒⠒⠲⠾⣿⣭⣕⣄⠀⠀ ⠀⣾⡟⠋⠉⡏⠉⢸⠀⠀⣿⢿⢹⠁⠀⠀⠀⢡⣿⠀⠀⠀⠀⠀⢻⠀⠀⢠⢨⣷ ⢀⣧⣀⣦⣠⣧⣤⡦⠤⢴⣿⢿⣿⠼⠶⣶⣶⣾⣻⣲⣶⣦⣶⣦⣼⣢⣤⣤⣾⠛ ⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠸⢸⠁⠀⠺⢿⠻⠀⢸⠉⠉⠉⠂⡀⢀⣸⡟⠃⠀ ⢸⠒⠒⠒⣂⡄⠤⡄⠤⠤⡇⠀⢸⡠⠀⠲⣖⠀⠀⡘⠒⣦⣶⡉⠦⠤⢻⣧⣄⠀ ⢸⠒⠒⢺⣿⣮⣦⣇⡀⠀⣇⣀⠸⠇⣾⣭⣽⡀⠀⣛⣀⣓⣉⣅⣁⣀⢹⣩⡏⠀ ⠀⠀⠀⠠⡋⢣⡸⡸⠉⠉⠹⠽⠷⠿⢹⣿⡿⡋⠻⠭⣔⣠⣭⢽⡏⣏⠊⠁⠀⠀ ⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠪⢉⣁⡡⠃⠀⠀⠈⠈⠉⠜⠊⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢠⢇⢔⣵⣶⣾⣥⣩⣿⣿⣔⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⣷⠋⣿⣿⣿⣿⣿⣿⣏⠇⢯⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣻⣾⣤⡿⣿⣿⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⢿⡟⢹⣿⣿⣿⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢢⠀⠀⠀⠀⠀⢰⣿⣿⣟⣎⣿⣿⡇⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀ ⠜⠀⠀⠀⠀⠀⠸⣿⠻⣿⣿⣿⣿⡇⣿⣿⠋⠈⣿⢹⠀⠀⠀⠀⠀⣀⢤⢶⣅⣀ ⠀⠀⠀⠀⠀⠀⠀⠉⠂⣤⢿⣷⣿⢳⣿⡇⠀⢀⠸⠊⢀⡀⣤⠒⢉⡁⠤⠒⢌⡫ ⠀⣠⣤⣤⣶⣶⣾⣶⣶⣼⣿⣿⣿⣼⣿⣓⣚⣧⡄⠚⢿⠷⠷⠆⠴⠶⢯⣽⠭⢭ ⣿⣿⣿⣿⣯⣛⣻⣿⣿⣿⣿⣿⣿⣿⣷⣾⣯⣹⡟⠃⠚⢧⡖⡒⠒⠒⠉⠀⠇⢾ ⣵⣿⣿⣿⣿⠿⠚⠳⠬⠭⠍⢉⣹⡟⢻⡻⠛⠛⠛⢶⣤⣬⡆⢎⠦⡀⠤⡔⢮⣻ ⣷⣿⣿⣿⣿⠇⢀⣝⠕⠀⠀⠀⠀⡬⢞⠁⠀⠀⠀⠀⣀⣸⣿⠘⣴⡙⣎⣉⠽⣟ ⣿⣿⣿⣿⣿⣷⣶⣷⡀⠀⠀⠀⢸⡖⣿⣧⣤⣶⣶⣿⣿⣿⣿⡆⣯⡇⡼⡀⡄⢻ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣶⣞⣷⣿⢿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣜⣆⣅⢠⢀ ⣿⠟⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣌⢌⠀ ⣧⡞⣿⣿⣿⣿⣿⣿⣿⣫⣶⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣊⠄

⠉⡁⠀⢀⣀⣀⣈⠉⠙⠿⠏⢣⠀⣷⠟⣵⣧⡿⢰⠟⣱⠇⠀⠀⠀⢀⣤⣤⠄⠠ ⠀⠻⡆⡈⢿⢿⣿⠠⣴⣶⣤⣴⣀⢿⠸⣨⡟⣀⣇⡾⣛⣜⣾⠀⠠⢾⣻⠃⠀⣠ ⣇⠀⠙⢻⣁⣿⠋⢠⠇⠈⢿⣿⣿⡋⠠⣿⣧⡞⢿⡿⣫⢉⣏⡄⢀⣾⠏⠀⣰⣿ ⣿⣧⡀⠈⢻⡹⠄⣷⠷⣾⡖⠣⢻⡻⣜⠿⢼⣿⣾⣿⣷⣿⣿⢀⠊⠏⠀⣴⣿⣿ ⡿⢿⠇⢠⣁⣄⠞⣇⠌⣬⣿⣦⣎⣧⡈⡙⢉⣿⡿⣿⣏⣟⣴⠃⢰⡇⢠⣿⣿⣿ ⣄⢈⣴⡋⠐⢺⡶⠥⠠⣘⣿⣿⣿⣟⠉⠳⢽⠛⢾⣿⣿⠛⠛⠀⢀⣤⣶⣿⣿⣿ ⣿⣿⣹⣿⢟⣅⡁⢈⣦⡩⢿⣿⣿⣷⣠⣀⣴⣼⣷⣿⣿⣿⡟⣷⢾⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡗⠩⡍⠉⣻⡟⣴⢻⣿⣿⣣⣽⣾⣿⣏⡻⢿⣿⣿⠥⣼⣋⣿⣿⣿⢛ ⣿⣯⡙⣿⣿⣿⣿⣯⣿⢿⣿⠈⡟⢿⣿⣟⠻⢻⡾⣗⠚⣿⣿⣿⣟⣿⣿⣿⡿⣿

⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣀⣼⣴⣾⣿⣯⣤⣄⠀⣠⠀⠀⠀ ⠀⠀⠀⣼⡿⣿⢏⡵⢃⠞⢩⠛⡻⢿⣤⡀⠀⠀ ⠀⢀⣼⣟⣼⣷⣿⣴⣷⣶⣿⣶⣿⣷⣿⣏⠉⠀ ⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⡏⠻⣟⣿⣿⣿⡦⠦ ⠠⢾⣿⣿⠿⢿⣿⣟⠷⠖⠀⠀⢠⠙⣿⣿⠟⠒ ⠀⠉⢿⣿⣷⣖⣙⣿⠃⠀⠀⠀⠀⢋⣻⡟⠀⠀ ⠀⠀⢀⣠⣿⠗⠛⠗⠠⣤⣄⣀⣀⣼⣋⠘⠀⠀ ⠀⠀⠹⣿⣾⣄⣀⠀⠀⢠⣌⣻⣿⣿⣿⠏⠀⠀ ⠀⠀⠄⠿⣿⣿⣿⣿⣷⣿⣟⣈⣿⣿⣷⣶⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠣⢽⣿⣿⣯⣿⣿⣿⣯⠠⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠀⠀

⠀⠋⢀⢀⣿⣇⠹⢷⢤⣈⣣⣇⣾⡏⡹⣤⠚⠁⠀⠒⠀⣀⣠⢔⡚⡠ ⠀⠀⠀⢸⡞⠘⣿⠀⠉⠁⠉⡟⡃⠉⣧⠿⠏⠹⠿⢿⡿⣟⣷⣿⠟⢠ ⠀⠀⠀⡄⡇⠀⠸⠣⡀⠀⠈⠀⠀⢌⡞⠀⡴⠄⠀⠀⠩⠻⠋⢃⣠⡾ ⠀⠀⠀⢰⡷⠀⠀⡀⠀⠀⠀⢰⡴⠞⠀⠀⠠⠀⠀⠀⠀⣀⡰⡆⣷⡷ ⠀⠀⠀⠀⠃⠀⠀⠰⡀⠀⠀⢽⡀⠀⠀⠀⠀⡖⢄⠂⣄⠀⡇⣧⣿⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠈⠀⠀⠀⢀⡇⣘⠀⡟⢠⡷⠃⢿⣿ ⠀⠀⠀⠀⠀⠀⣠⣤⣤⣶⡈⠁⠐⠂⠀⠠⢼⠶⣿⣿⣣⠞⠁⠀⣨⣿ ⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⢸⠠⡩⠙⢁⣤⣶⣾⣿⣿ ⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⢸⠁⢀⣴⣿⡿⡟⠓⣹⣿

⠀⠀⠀⣼⣦⡄⡄⠀⣀⡞⠙⣷⡀⡾⠋⠁⠴⠈⠿⠀⠀⠀⠈⠯⢢⡀⠀⠀⠀⠀ ⠀⢠⡄⣿⠋⢡⡄⠀⣭⠂⠃⣿⣿⡑⠀⠁⠀⢁⡀⠈⠂⠀⠀⢀⠀⠱⠀⠀⠀⠀ ⠀⢸⡗⠋⡆⠈⠣⡠⠃⣄⣀⡾⠛⢥⡆⠢⠠⠁⠀⠑⢠⠔⠄⠱⠂⠀⡇⠀⠀⠀ ⢠⢸⠧⢰⠁⢸⢠⡇⣁⠀⠀⠈⠀⠣⣈⠷⠀⠀⠀⠀⡔⠁⠔⠁⠀⢰⠁⠀⠀⠀ ⣾⠈⠀⣸⡴⠚⠉⠀⠀⠁⠂⢼⡤⠒⠞⡷⣀⠀⠀⠈⠀⠀⠀⠔⡀⡄⡗⠀⠀⠀ ⠀⢠⡞⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⡀⠀⢣⡇⣷⣤⡀⢀⣠⣾⡾⠚⣰⠤⠀⢀⣀ ⠀⠊⠈⠀⠠⠄⣀⡀⠀⣀⣀⡠⠋⠈⠢⢲⡹⢽⢠⡿⣹⡳⡟⢁⡊⣠⣋⠑⣔⣿ ⡰⠊⠀⠀⠀⠀⠀⠉⠛⠁⢍⠈⢱⣄⠀⠘⣗⠒⠼⠥⣱⠊⢀⢌⡀⣖⣤⣪⣾⠿ ⣶⡿⠋⠋⠹⣶⣤⣀⣠⣴⣦⣄⣾⢸⢲⢳⠾⣷⣶⣶⡏⢤⡂⠬⣶⣿⣿⣯⣉⠈ ⣿⣷⡾⡋⠂⠬⡙⣿⣿⣿⠟⣱⣿⢸⡄⠈⣧⢀⣭⢞⣪⣿⣶⠛⣏⣿⣿⣿⣥⣴ ⢻⣚⣏⣁⡀⡀⠈⡏⣯⢻⠁⣼⠁⢨⢉⣶⣿⣿⡿⠛⠛⠒⢛⣦⣿⣿⣿⣿⣿⡿ ⣸⡿⠏⠉⠛⠷⣦⡇⡟⢙⢓⣿⣰⣿⣾⣿⠋⠿⡀⢀⣴⣿⣾⢿⣿⣭⠻⣿⣿⣱ ⠋⠀⠀⠀⠀⠀⠉⡇⢹⣮⣾⣿⣿⢿⠁⠀⠉⠋⢹⢸⣿⡟⠛⠘⠙⠻⠷⣟⢣⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⢹⡏⣸⡆⣀⣀⣶⠟⣾⣿⠠⣒⣭⣶⣾⣿⡟⣾⣿ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⡮⣠⢯⡿⢛⣽⢖⢝⣭⣴⣾⣿⣿⣿⣿⡟⢰⣿⣿

⡸⠃⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⢀⠔⠱⡂⠄⠀⠀⠠⠐⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠔⠁⢀⢆⡓⡄⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠀⠀⠁⠀⠁⠠⠀⠀⠀⠀⠀ ⠀⠀⠈⢒⠐⠁⠐⠫⢄⠀⠀⠀⠀⠀⢀⠄⠀⠀⠀⠀⠀⠄⠀⠀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠣⢆⡀⠀⠀⠚⠂⠀⢀⠊⠀⠀⠀⠀⠀⠠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⠔⢁⠔⠰⠀⠀⠠⠃⠀⠀⠀⠀⡠⠊⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠠⠴⡥⢐⡇⣀⢔⣁⣤⠦⢤⣒⡋⢠⠔⠀⠀⠀⠀⢀⢞⠀⠀⠀⠀⠀ ⠠⠤⠄⢀⠀⣠⣡⠇⢣⣧⠀⢰⢾⣔⡠⠞⠊⠀⠀⡀⠀⠀⢀⡎⢸⠀⠀⡀⠀⠀ ⢆⠙⢆⠀⠙⢦⠀⣧⡀⠙⢆⠀⠪⣉⠿⢒⡈⠝⣋⠀⠤⠂⡑⡠⡚⠑⣄⠘⡀⠀ ⠀⠱⡈⠄⠀⠈⣷⣼⣴⢆⠈⠳⠀⠀⠀⠀⠀⠀⢀⣶⣶⣾⣊⡗⠀⢀⣸⠉⠘⠂ ⠀⠀⢱⡀⠀⠀⠘⣿⣿⡊⢄⠀⠀⠀⠀⠀⠀⠀⠈⠢⠯⡰⢋⡠⠀⠁⠀⠁⠀⠀ ⠀⠀⠀⢣⡀⠀⠀⢛⡿⣿⡄⠢⡀⠀⠀⠀⠀⠀⠀⢀⠝⡝⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠑⢄⠂⠘⢳⠸⣿⡀⢈⣢⣀⡀⠤⠐⠊⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⡀⢑⣄⡃⠧⠿⠿⢟⡀⠳⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠰⣟⣽⡞⡏⠙⠄⡀⠀⠀⠀⠐⠬⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠈⡹⠋⡆⢀⣠⣴⣾⡿⣓⠴⠒⣠⢜⡣⠤⢤⡠⣿⠷⠥⢠⣶⠾⠋⠀⠀ ⠶⠲⠶⡶⠞⣨⣿⣿⣿⣿⣿⣿⣇⣴⣾⡃⠀⣎⢲⡀⢹⠏⢻⣶⣿⡡⠁⠀⠀⠀ ⠒⠊⢁⣠⠊⢿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣶⣿⣾⣾⡔⢶⡟⠁⠀⠃⠀⠀⠀⠀ ⣶⢺⡿⣿⠔⣿⣷⣿⡿⢓⡞⡲⢿⡿⣿⣿⣿⣿⣿⣿⣷⢠⣧⣤⡜⠀⠀⠀⠀⠀ ⣟⢉⢷⣧⣼⣿⣿⣿⠃⠀⠉⠚⠁⠁⠈⢹⣿⡿⡿⣿⣿⢻⣿⣿⠇⠀⠀⠀⠀⠀ ⢹⢋⣴⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠘⢷⡽⣦⣧⣏⡆⠈⢻⠀⠀⠀⠀⠀⠀ ⠘⣿⡿⠿⣻⣋⡂⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢰⣿⣿⣣⣀⡴⣟⡀⠀⠀⠀⠀⠀ ⠀⡆⠀⠀⠸⣿⣗⢄⠀⠀⠀⠈⠐⠒⠀⠀⠠⣿⣿⢸⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀ ⠀⡅⣠⠄⠁⠹⠿⢗⣓⡠⣀⠀⠀⢀⡠⠖⣵⣿⣿⣟⣽⣿⣿⣿⣿⣆⠀⠀⠀⠀ ⠀⢹⠇⠀⠀⠘⣸⣻⣷⢿⠏⡉⠈⢊⠔⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠦⠀⠀⠀ ⠀⣿⡀⠠⣒⠨⢒⣡⠞⡈⠑⣗⣕⠁⠐⣿⣿⣿⣿⣿⣿⣿⠉⠉⠁⠀⠀⢰⠀⠀ ⠀⢃⠎⠊⡎⠁⠂⠁⢸⢀⠞⣹⠄⢦⣼⣷⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣄⣠ ⢰⠂⣀⠜⠋⠁⢂⠔⡇⣼⠀⣿⣦⣼⣷⣭⡛⠿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠇⣁⠎⠀⠀⢀⠎⠁⣼⣿⣦⣻⣿⣿⣿⣿⣿⡿⢛⣸⣿⡅⠀⠀⠀⠀⠀⠀⠀⢸ ⡞⢀⡔⠁⠀⡌⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠂⠈

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠔⢂⠖⠒⠢⡀ ⠀⠀⠀⠀⠀⠀⡠⣢⠾⡻⡇⠐⢻⠧⣔⢄⠀⠀⠀⠀⡰⠏⠂⠐⠊⠠⣒⡇ ⠀⠀⠀⡀⠀⠀⢱⣃⣪⣞⡇⢆⣡⠾⢹⡎⠀⠀⠀⠀⠣⣀⣒⡐⣀⡀⠰⠞ ⠀⡠⠒⡆⠀⠀⠨⠤⠒⠀⡂⠀⠀⠀⠀⠀⣤⣤⠀⠀⠀⠈⠉⣷⣗⢧⡠⠔ ⣰⣟⠀⠀⠀⣀⢀⢀⣀⠠⠄⠀⣀⣀⣀⠀⠉⣹⡤⢦⢴⣶⠿⠛⠁⠀⠀⠀ ⠐⠀⠛⠛⢯⣴⣿⡍⠾⠒⠒⢮⣾⣿⡷⠝⠛⠛⠓⠊⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠒⠖⠒⠛⠛⠓⠾⠖⠖⠒⠚⠛⠟⠓⠒⠒⠒⠒⠒⠒⠂⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣏⢹⡝⡿⢾⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡖⣿⢿⣟⣿⡏⣿⣽⣷⢼⣽⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣷⡽⠏⡘⢸⠈⠙⢩⡏⢿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⡗⡇⣤⣧⣾⡆⣀⣏⢿⣾⢧⠻⣿⣾⣿⡿⣿⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡳⣿⡇⣧⣿⡟⣿⣷⣿⣿⣯⣻⣼⠀⢙⣿⣿⣷⣿⣿⣷⢄⠀⠀⠀ ⠀⠀⠀⣠⡿⢠⣿⡇⣿⡝⣿⡟⣿⢿⣻⣿⡇⣻⢚⣁⣸⣌⣻⠸⣿⠻⣧⡑⡀⠀ ⠀⠀⡰⢹⢇⣾⣿⣧⡏⢿⣿⣇⣻⣏⢿⣿⡚⠉⢿⡩⠷⠒⠈⠀⢫⠀⣿⣧⢜⠀ ⠀⠰⠁⣿⣾⣿⣿⣿⡞⣿⡟⢓⣶⢿⡏⠁⠁⠀⠀⠀⠀⠀⠀⠀⡄⢢⣿⣯⡆⡆ ⢀⠁⢰⣿⣿⡟⢛⣩⣻⣌⣧⠛⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣏⠇⠃ ⠘⠀⣿⣿⣿⣗⠻⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⢀⠠⡤⠀⠀⠀⡰⡏⠿⣿⡇⠀⠀ ⠀⢸⡏⣿⣿⣟⡅⠀⠉⠛⠻⠿⣷⣄⠀⠀⠀⠉⠁⠊⠀⢀⠜⠀⡿⣦⡿⠁⠀⠀ ⠀⠸⡇⠸⡻⣟⢆⠀⠀⠀⠀⠀⠈⠻⣹⣶⣤⣀⡀⠀⢠⠊⠀⠀⡱⠻⠁⠀⠀⠀ ⠀⠀⠉⠀⠀⠈⠛⠐⠒⢠⠀⠀⠀⠀⣽⡿⡇⠛⠴⠖⠁⠀⠀⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⠄⠒⠂⠠⠌⠀⠀⠀⡐⠈⢃⠇⠀⠀⠀⠀⠀⠀⠀⠘⢄⠀⠀⠀⠀ ⠀⠀⠀⠈⡀⠠⠤⢀⣀⠃⠀⠀⠀⠷⣚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠒⢀⠄

⠀⠀⠀⠀⠀⠀⣀⣠⢔⡂⡉⣭⣯⣉⢑⠢⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣊⢬⣥⣯⣵⣿⣿⣿⣿⠗⠻⣽⡟⡄⠀⠀⠀⠀⠀ ⠀⠀⢀⢿⣿⠟⣉⡉⠁⠁⠁⠉⢙⠛⠾⡿⢿⣿⣿⠀⠀⠀⠀⠀ ⠀⢠⣲⡟⠑⠉⠀⠀⠀⠀⠀⠀⠀⠈⠑⢌⢯⣢⣧⣢⠀⠀⠀⠀ ⠀⢀⢽⢀⢔⣭⣴⡄⠀⠀⠀⢀⣤⣒⠠⡀⠸⣾⣿⡟⠀⠀⠀⠀ ⠀⣸⡞⠄⢧⣿⣿⠇⠀⠀⠀⣼⣿⣿⢱⢰⠀⣿⣿⡇⠀⠀⠀⠀ ⠀⣽⡇⠈⠊⠙⠋⢀⡀⠀⡀⠙⢞⣇⡊⠎⢀⣿⣿⡃⠀⠀⠀⠀ ⡘⠀⢣⠀⠀⠀⠀⠈⠁⠈⠁⠀⠀⠀⠀⠀⣸⣿⢿⣇⠀⠀⠀⠀ ⠣⡈⠠⠢⠀⠀⠀⠀⣀⣤⣄⠀⠀⠀⠀⣠⢿⡀⠜⠀⠀⠀⠀⠀ ⠀⠐⠁⠀⠈⢢⣄⡀⠛⠛⠋⢀⣀⣤⣾⣧⢀⠬⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⡡⡂⠀⠀⠀⠀⠈⠙⠙⢄⠀⠈⠀⠀⢀⠀⣀⣠⠤⠀ ⠀⠀⢀⡴⠁⣸⢄⠀⠀⠀⠀⣎⢆⠈⢢⣀⠀⠀⠀⠉⠛⠻⢿⣶ ⠀⠰⢀⡇⢸⠇⢻⣄⣀⣀⣾⣿⣿⡷⡀⢱⠈⠑⠢⢀⠀⠀⠀⣿ ⠀⠀⢀⠇⣸⠀⢸⣿⣿⣿⣿⣿⣿⠿⠁⠈⣧⣴⣶⣴⣇⠀⡴⠟ ⠀⠁⠸⠀⠇⡀⢹⣿⣿⣿⣿⣿⣿⡧⠀⠀⠟⡛⠛⡛⣋⡡⠖⠁

⣿⣿⠀⢸⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣻⢿⣿⢼⣿⠀⠀⠀⠀ ⣿⣿⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢀⡔⠾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⣿⣿⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⢀⠤⢊⠁⠀⠀⠀⢙⣿⣿⣿⣿⣿⢿⠀⡇⠀⠀ ⢿⣿⠀⢸⣿⣿⣿⣿⡇⢀⠔⢊⠔⠒⣊⠈⠂⠄⣀⠼⣉⢿⣿⣿⣺⣸⠀⡇⠀⠀ ⣀⣀⠀⠀⠀⠈⠉⠉⣧⠂⡠⠁⠐⠉⠀⠀⠀⠀⠀⠠⠀⠊⣿⣿⡏⡿⡆⡇⠀⠀ ⣿⣿⠀⢸⣿⣿⣿⣿⡇⢰⢅⣀⣔⡂⠲⠀⠀⠀⠀⣀⣉⢠⣿⣿⡇⡇⠃⡇⠀⠀ ⣿⣿⠀⢸⣿⣿⣿⠟⠃⠢⡄⠘⠏⠀⠙⠃⢠⢂⡴⢶⣪⡾⣿⣿⣧⡇⠀⠇⠀⠀ ⣿⣿⠀⢸⣿⣿⡇⠆⠀⠀⠘⡀⠀⠀⠀⠘⢢⣴⠇⠀⠀⢸⠀⠈⣿⡿⠀⢠⣴⣶ ⣿⣿⠀⢸⣿⣿⣧⣣⣀⣀⠰⠤⡀⠀⠀⠀⠀⠙⡠⠤⠔⡁⢀⣴⢿⡇⠀⣿⣿⣿ ⣿⣿⠀⢸⣿⡿⠋⠀⠀⡹⠛⡇⢨⣀⡠⠔⠀⠟⠀⠀⠀⠈⢿⣿⣸⢃⣠⣿⣿⣿ ⠿⣿⠀⠸⣿⣇⠀⠀⣰⠁⠀⠑⣈⢷⡸⠓⡝⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⢱⠦⢼⠀⠀⠀⠀⠀⠀⠀⢣⣠⠴⠶⢏⣴⣿⣿⣿⣿⣿⣿⣿⣿ ⠠⠔⠂⠉⠉⠁⠐⠢⢄⣇⠀⠀⠀⠀⠀⠀⠀⡝⠀⢀⠼⠿⠿⠿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⣽⢷⠒⢦⣠⢤⣖⡻⠉⠉⠁⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿ ⠀⠀⣀⠠⣤⣶⡿⠛⢉⡠⢚⠦⠤⡏⠓⢄⠉⠒⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣏⣀⣀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⣿⣿⣟⣻⣷⣿⣶⣦⣤⠂⢍⢹⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⢻⣻⠿⡿⠛⢿⣿⣿⣿⣿⣿⣿⡇⠈⡊⠀⠀ ⠀⠀⡀⠀⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⢻⡧⠀⠔⢄⢘⣾⣿⣿⣿⣿⣕⣦⠃⠀⠀ ⣴⣾⠁⠀⠀⠀⣠⣿⣿⡏⢸⠀⠀⢀⠔⢉⣳⡨⢦⡑⢿⣿⣿⣿⡿⢻⣿⠀⠀⠀ ⡿⠇⠀⠀⠀⣰⢹⣿⣿⣷⣸⡆⠐⠙⢾⡛⢢⠀⠎⢛⠓⡿⡟⣹⣷⣆⢹⠀⠀⠀ ⠀⠀⠀⠠⠊⢸⢯⡏⣉⢿⣯⡻⢄⠀⠈⠆⠋⠁⡀⢹⡄⣿⣵⣿⣿⣿⣾⠀⠀⠀ ⠀⠀⠀⠀⢀⣼⡜⣿⣝⠄⠿⠃⠀⡠⢀⠀⠀⢀⣡⢿⣵⢟⠿⠟⠀⣿⣏⠀⠀⠀ ⠀⠀⠠⠐⠛⢟⡇⡉⢻⡄⠀⠀⠸⠀⠀⠡⠀⠀⣏⣾⡟⠹⠣⢝⠀⠐⡹⡆⠀⠀ ⠀⠀⠀⠀⢀⣾⣟⢁⣸⣷⡀⠀⠀⠠⡀⢠⠀⢰⡾⢋⣇⣾⣿⣿⣦⡀⣐⢴⠀⠀ ⠀⠀⠀⠀⡈⢙⠟⢸⣿⣿⣧⠁⠂⠠⠀⠠⣴⡛⣡⣾⣿⣿⠟⠋⠀⠀⠀⠈⢃⠀ ⠀⠀⠀⠀⠈⢸⠀⡈⢿⢺⣿⣧⠀⠀⣤⣿⣿⣷⣿⠟⠛⢁⣄⣢⣀⣀⣀⠀⠈⢂ ⠀⠀⠀⠀⠤⠊⢀⣣⠜⢝⢿⠻⠀⢰⢿⠟⡨⣡⡺⠙⠙⠛⢄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠞⠤⠇⠀⢈⣼⣶⣶⣷⣢⣤⡾⠋⠀⠀⠀⠀⠀⠆⠀⠀⠀⣾⣶⣶ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣦⣍⣉⠉⣞⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⣿⣿⣿

⠀⠀⠀⣠⡤⠤⢄⠀⠀⠀⠀⠀⠀⠀⢀⡀⡀⠀⢸⠤⠤⢄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⡞⠁⢃⢀⡸⠖⠂⠀⠀⠀⠀⠀⡏⠀⢘⠀⠈⠁⠂⢼⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢣⢷⠖⡌⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠉⠀⠀⠀⠀⠸⡀⠀⠀⠀⡠⠠⡀⠀ ⠀⡇⡿⣦⡇⠀⣀⣤⠴⠖⠒⠋⠉⠉⠉⠉⠉⠉⠉⠛⢶⢢⠃⠀⠀⡔⠀⢀⠌⠀ ⠀⠰⢰⢉⣴⡿⠉⢀⡠⠤⣤⠒⠠⢤⠤⠤⠤⠤⠤⣤⣄⡏⠀⠀⠀⠂⠐⠁⠀⠀ ⠀⠀⢲⣿⡇⠀⠀⡎⠀⠘⢿⣦⣤⡼⠃⠀⠀⠀⠱⣿⣿⢧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣹⠣⡀⠀⢃⠀⠀⠀⢉⠥⠤⠤⠤⠤⠤⠴⠠⢅⠘⢴⠒⠠⢄⠀⠀⠀⠀ ⠀⠀⣼⠂⠉⠃⠀⢠⠀⠀⢀⠁⠀⠀⠀⠀⠀⠀⠀⢀⠀⢡⢸⠉⠒⢄⠹⠀⠀⠀ ⠀⠀⢫⡀⠀⢸⠀⠰⠀⠀⠸⠀⠀⠀⠸⠁⠀⠀⠀⠉⡄⠀⡌⡆⠀⠈⢲⠶⠀⠀ ⠀⠀⢀⡛⠲⠾⡄⠀⠣⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⢰⠀⠀⢣⠀⡠⠚⠳⣄⠀ ⠐⠈⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⢀⠁⠀⠀⠀⠀⠀⠆⠀⠘⣤⣧⠀⡠⠟⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⡀⠀⠀⣠⠎⠀⠀⠀⠀⠀⠀⢸⠀⣠⠙⣿⡄⠀⠀⠀ ⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠛⠿⠷⣤⣀⠀⢀⣀⣀⣀⢼⣿⣿⡶⢿⡿⡆⠀⠀ ⠋⠙⠂⠄⡀⠀⠀⠀⠀⣰⣇⣀⠀⠀⠀⠉⠑⠦⣀⡀⠀⠀⢻⣿⣧⠀⠈⢳⠀⠀ ⠀⠀⠀⠤⢀⠑⢠⣴⡶⠁⠀⠈⠉⠓⠲⢤⣀⣰⣿⣿⣶⣤⣀⣿⣿⡄⠀⠀⠣⡀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⣄⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⠓⠉⠙⠳⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⠚⡥⡄⠀⠀⣺⣦⠀⠀⠀⠉⠳⢤⡀⠀⠀⠀⠀ ⠀⠀⢀⡴⠋⠀⠈⠋⢈⣀⣀⡤⣅⣀⣀⠐⠿⠇⠀⠙⢦⠀⠀⠀ ⠀⢠⢎⠀⡤⣤⡖⠚⠃⠀⠉⣀⣈⠁⠀⠓⠒⢦⣀⣀⠀⠳⡀⠀ ⢠⠇⢿⣥⣇⣿⠟⠒⠚⠉⠉⡏⡏⠉⠉⠓⠖⣿⡟⣿⠰⣶⢳⠀ ⡼⠀⣯⢠⠇⠀⠀⠀⠀⠀⢰⠃⣇⠀⠀⠀⠀⠀⠳⡇⢙⡄⠈⡇ ⣧⢨⠀⡏⠀⠀⡰⠶⠀⣠⠏⠀⠘⣤⠀⠶⠆⠀⠀⠹⡀⢹⢄⡇ ⠘⡎⢱⣁⡖⣶⣶⣶⡞⡇⠀⠀⠀⡜⣶⣶⣶⡖⣆⣀⡇⠈⡞⠀ ⠀⠈⡏⡏⠙⠪⠽⠭⠚⠁⠀⢲⠀⠙⠪⠭⠽⠚⠁⢠⠁⢪⠀⠀ ⠀⠀⠉⠻⣄⠀⠀⠀⠀⠀⠀⠼⠄⠀⠀⠀⠀⠀⣠⡗⠒⠃⠀⠀ ⠀⠀⠀⠀⠙⣕⠢⠄⣀⣀⡀⠀⠀⠀⣀⣀⠠⢚⡝⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡜⣀⠙⠒⠶⢀⡞⣹⡙⣦⠤⠴⠒⣉⠹⡀⠀⠀⠀⠀ ⠀⠀⠀⡸⠻⠋⠁⠀⠀⠘⠚⣁⡙⠚⠀⠀⠀⠷⠇⢳⠀⠀⠀⠀ ⠀⠀⢠⠇⣀⢸⣀⣀⣀⣀⡦⠛⢴⣀⣀⣀⡀⢰⢀⠈⡇⠀⠀⠀

⠀⠀⠀⠘⢇⢣⠙⠐⠀⣬⢰⣎⡜⡆⢷⡏⢹⣿⡿⠉⡏⠀⠀⢀⠄⠀⠀⠀⠀ ⠀⠀⠀⠰⡸⠈⡧⠀⢀⡏⢸⠀⠃⢹⡘⡇⠈⣿⡇⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣧⣡⠀⠀⣸⡀⡟⠀⡼⠈⣧⣇⣀⣿⣷⡀⣀⣸⠀⢈⠥⡀⠀⣰⣶ ⠀⠀⠀⠀⠈⠢⣿⡉⠋⡇⣧⡀⠢⣔⡟⠠⢽⠀⢀⡏⡔⠈⠀⡅⣄⣠⣾⣿⣿ ⠀⠀⠀⠀⢀⡜⠉⢑⠀⢧⠤⡃⢸⠥⢷⣶⠿⣶⣿⠉⠀⢠⣥⡯⠁⠀⢿⣿⣿ ⠀⠀⢀⠴⣿⣷⣄⠀⠈⡐⢢⡆⠸⠀⠸⣿⠀⢹⣿⠀⠀⠀⡏⠇⡀⣠⣹⣿⣿ ⢀⠔⠁⠀⣿⣿⣿⠀⠒⠸⠆⢇⢀⠄⠀⡇⠀⢸⣿⠀⢀⢼⡇⣀⣧⣷⣿⣿⣿ ⠀⠀⠀⣸⣿⣿⡟⢐⢠⠤⠀⢀⠅⠀⡀⡇⠀⢸⣿⣴⡟⢸⠀⡏⢻⣿⣿⣿⣿ ⠀⠀⠼⢿⣿⣿⣿⣦⣍⠀⠗⡄⠀⠉⠁⣷⢀⠜⠉⣿⠇⣿⠀⠀⠘⣿⠟⠋⠉ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣆⠈⢣⡀⠀⢀⢿⡏⠀⠀⡟⠀⢸⠀⠆⢰⡇⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⣾⣿⡉⠑⠼⣿⡀⠀⡇⠀⢸⡀⢠⢻⡇⠀⠀⠀ ⠀⠀⢠⠾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⠀⠈⢷⠀⢠⠀⠈⠗⠁⢸⡅⠀⠀⠀ ⠀⠀⠀⠀⠈⣻⣿⣿⣿⣿⣿⡿⠛⠉⢻⠀⠀⢸⣆⠈⡄⡈⠀⠀⢸⡿⢦⡀⠀ ⠀⠀⠀⠀⢀⣿⣿⠿⠛⠁⠀⠀⠀⠀⢸⠒⠈⠉⢿⠒⠘⢁⡴⠂⢹⡇⠀⠙⢦ ⠀⠀⠀⢀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠠⢸⡖⠊⠁⠀⠀⢸⡇⠀⠀⠸

⠀⠀⣀⡀⠀⠀⠀⠀⢀⡀⠀⠀⠀ ⠀⠂⠀⠈⠀⠀⠀⠉⠀⠀⠀⠀⠀ ⠠⡶⠋⠢⠀⠀⠀⢠⠖⠒⢤⣄⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀ ⠀⠀⠀⢀⠀⠀⠀⠀⡏⠀⠀⠀⠐ ⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠃⡀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⢰⣧⠀⠙⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢦⡀⠀⠀⠀⠀⡏⠀⢸⣿⠀⠀⠘⡷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠙⢦⡀⠀⠀⡇⠀⠘⣿⠀⠀⠀⢻⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠙⢦⣀⣷⠀⠀⢘⣦⠀⠀⢸⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⢀⣿⢿⠷⣄⠈⡟⢸⢷⡾⠀⠀⠀⠈⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⢀⡴⠊⠀⠈⣳⣤⡈⠙⢻⡄⠁⠀⠀⠀⠀⠸⡷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⠖⠁⠀⠀⠀⠀⠉⠓⠛⠁⠘⠯⠤⠤⠤⢤⡤⠀⣷⠈⠳⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠛⠻⢤⣀⡟⠀⠀⠀⠈⠉⠓⠒⢒⣲⠶⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⢹⡀⠀⢀⣴⠶⠒⡾⠁⠀⠀⠀⠀⠉⠉⠳⡀⠀⠀⢤⣍⣳⡄⠀⠀⠀⠉⠓⠛⠻⢄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⠃⠀⠹⠽⠗⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣄⠉⠐⠢⠀⣀⠀⠀⠀⠀⠙⢦⡀⠀ ⠀⠀⠀⠀⢀⣠⡴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢹⡄⠀⠀⠀⠙⢄⠀⠀⠀⢀⠀⠻⡄ ⠀⢀⣠⠶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⢾⡇⠀⠀⠀⠀⠀⠱⡀⠀⠈⠳⣄⣳ ⢠⠸⣗⢂⡴⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡾⠀⠀⠀⠀⠀⠀⠀⠰⣧⠀⠀⠀⢸⠿ ⠀⠀⠘⠻⣆⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⡤⠤⠔⠂⠀⣠⡤⢾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠟⠀⠀⠀⣸⠀ ⠀⠀⠀⠀⠈⠳⣄⡀⠀⠀⠀⢀⣀⡤⠴⠒⠛⠉⠁⠉⠓⣄⠀⠀⠈⠁⠀⢀⣶⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣞⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⣇⣴⠁⠀⠀⠀⠀⠀⠀⢀⠀⢀⣞⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠉⢸⡀⠀⠀⠀⠀⠀⠀⡆⢠⣿⠏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⡳⠀⠀⠀⠀⠀⠳⡀⠀⠀⠀⠀⣸⣰⠛⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠾⢷⡟⠁⠀⠀⠀⠀⠀⠀⠙⠂⠀⠀⢠⡿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⢀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡷⢻⠁⢠⠇⠀⠀⢀⡴⠀⣠⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⡎⠀⣠⣔⣩⠴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠗⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

╱|、 (˚ˎ 。7 |、˜〵 じしˍ,)ノ

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⡥⠶⢫⣿⣿⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣀⣈⡉⠁⣀⣀⢿⣿⡗⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⢖⢻⣗⢰⡋⡆⠑⠊⠀⢉⡇⠀⠀⠀⠀⠀ ⠀⠀⣀⢀⣰⣧⢻⡟⠚⠁⠸⣦⠤⠂⢀⣨⠞⣢⣀⠀⠀⠀ ⠐⡚⠖⢲⠋⢛⣟⡆⢴⡶⠈⢂⢦⣴⠏⡡⠘⢽⡪⠷⡀⠀ ⠀⢱⣄⣈⣴⣩⣿⡿⢀⠀⠐⠛⣹⣧⡮⢂⡀⠘⡿⠄⢁⠀ ⢀⣇⡨⣹⣿⣿⣥⡾⣾⠚⠉⠙⣺⠋⠀⠀⣀⣑⢌⡦⢘⡄ ⠀⠀⣿⣦⠟⠨⢔⠪⡥⠤⢖⣾⠷⠒⠂⠈⠀⡰⣸⠇⢠⠁ ⠀⠀⠻⣿⠀⠀⢕⣨⣄⣀⡿⠃⠀⠀⠀⠀⡀⣰⠏⠇⣼⠀ ⠀⠀⠀⠻⣷⡂⠉⠉⡍⡎⢣⠀⠀⠀⡴⠊⣴⠻⠃⢰⡍⠀ ⠀⠀⠀⠀⢹⡟⢷⣦⣳⣣⡸⢀⡴⠋⣢⣾⣿⡶⠒⢡⠃⠀ ⠀⠀⠀⠀⠈⠁⠀⠒⠛⠛⠓⠚⠚⠛⠛⠛⠒⠒⠒⠊⠀⠀

⠀⠀⣀⣠⡤⠔⠒⢲⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⡇⢠⠳⡀⠠⠃⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠤⠷⠛⢳⣊⠽⣆⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⡎⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢘⡇⠤⠚⢹⠋⢤⢀⣀⠀⠀⠀⠀⠡⢤⠭⠍⣑⡆ ⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⢸⠀⣾⡄⠀⠈⠁⠒⠠⢼⢸⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⡜⢹⠀⠀⠀⠸⡀⠘⠁⠀⠀⠀⠀⠀⣸⢾⡦⠀⠀⡇ ⠀⠀⠀⠀⢸⡀⣿⡄⠀⠀⠐⡑⠤⠤⠤⠤⠐⠒⠉⠈⠉⠁⠒⠒⡇ ⠀⠀⠀⠀⠀⢱⣌⡳⡀⠀⠀⠑⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⣠⠤⠤⣀⣠⠃⡇⠈⠙⠦⣀⠀⠈⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁ ⠈⢓⡶⠒⢪⢠⣇⣀⣠⣴⣾⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⡋⠀⠀ ⠀⠈⣇⠀⠽⢸⢹⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣷⠀⠀ ⠀⠀⠘⠤⠴⠋⠋⠉⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣇⠈⢫⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠉⠀⠀⠀⠀⠀⠀⠈⣧⠊⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡷⠠⣤⡤⠤⣤⠴⣞⠁⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⠤⠀⠤⠤⠄⣀⠀⠀⠀⠀⠀⠀⠀⡪⠀⠀⠀⠀⠈⠢⢀⠀ ⠀⠀⠀⡠⠋⠀⠀⡦⠄⢀⢠⠜⠀⠀⠀⠀⠀⠀⠀⢑⣆⣀⣀⠀⠠⡄⠀⡇ ⠀⣴⠀⣃⣀⠠⠚⡅⠀⢸⠀⠏⢆⠀⠀⠀⠀⠀⠀⠃⣏⡁⠀⠠⣀⡇⢠⠃ ⢸⡀⠀⠻⢇⠀⠀⠀⠠⠆⠀⣀⡞⠀⠀⠀⠀⠀⢸⠀⠘⠀⠀⠛⠀⣼⡷⠀ ⠘⢦⠀⠀⢠⠣⢀⠘⠑⣁⢴⠛⠉⠉⠁⠂⡀⠀⠈⠢⣘⠊⠀⢠⡂⠉⠁⠀ ⠀⠀⠁⠉⡡⢲⠸⠴⠟⣠⡇⠶⠤⠠⠤⠚⡘⠀⢀⠰⢛⡉⣷⣊⡏⠐⢄⠀ ⠀⠀⡔⠚⡒⠀⢱⢚⣿⠀⢟⠀⠈⠀⡄⠃⢸⣶⠁⠂⠀⠀⢸⡊⠀⢰⠈⡀ ⠀⢰⠷⠆⠓⢊⠡⠊⠀⠀⠃⠃⡌⡑⢊⣥⣋⠠⢲⠀⠀⠀⠈⠀⠀⠸⠀⡅ ⠀⠀⠓⠐⠊⠁⠀⠀⠀⠀⡀⠪⡎⠓⠚⠱⡀⠀⠈⠀⠀⠀⠀⠀⠀⠈⡇⠇ ⠀⠀⠀⠀⡱⠶⠶⠶⠶⢾⠀⣄⡇⠀⠀⢸⡇⠀⡆⠀⠀⠀⠀⠀⠀⠀⡏⠀ ⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠆⠘⡇⠀⠀⠀⡃⠀⠘⠒⠀⠤⠤⠤⠐⡒⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠋⠙⠝⠹⠀⠀⠀⠇⠀⠰⠀⠁⠀⠇⠀⠀

⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⣋⡁⠀⠀⠀ ⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣭⣄⡀⠀ ⠀⢠⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡈⠢⡀ ⠀⣼⣿⣿⣿⣿⣟⡿⠋⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡼⡗⠀ ⢰⣏⣿⣿⣿⣿⣿⠘⠒⠂⠐⢻⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⣂⠄ ⠘⣼⣿⣿⣿⣿⡹⡱⡐⠐⠀⠌⢿⠺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡟⠂⠀ ⠀⠀⠙⣿⣿⣹⣷⣷⠒⠒⢲⡶⣿⣿⣿⠻⣿⣿⢿⣿⣿⣿⡟⡇⠀⠀⠀ ⠀⠀⠀⠹⡏⠂⠀⠚⠀⠀⠀⠁⠈⠉⠁⠀⠓⣿⣿⣿⣿⡟⣿⠇⠀⠀⠀ ⠀⠀⠀⠀⠘⡀⠀⠪⡂⠀⠀⠀⠀⠀⠀⠀⣜⠙⠋⣿⠉⠀⡟⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠐⠄⠐⡂⠤⠤⠄⠀⠀⣠⣾⣏⠜⣰⡟⠀⣰⡟⢄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠨⢂⠀⠁⢀⢠⡐⢿⣷⣿⠿⠋⠁⠀⡰⠁⠈⠈⢆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⣹⣧⡾⠿⣿⣿⣿⣦⣀⠀⡠⠁⠀⠀⠈⠂⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣾⢟⠼⢛⣿⣻⡿⠿⣿⣿⣷⣻⣷⣄⢀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⢠⣴⢟⢵⣛⢩⣾⡿⠂⢑⣾⣿⣿⣿⣿⣿⣏⠷⣄⠀⠀⣸ ⠀⠀⠀⣠⡾⢋⡴⠋⣡⡴⠙⢁⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⣼⣗⣄⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⡁⠶⠂⠀⠀⠀⠀⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠛⠡⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡏⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣯⠭⠙⠋⠀⠀⠀⠀⠀⠀⡀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡿⢭⠓⠀⠀⠀⠀⢰⡉⡽⣾⡁⡀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣧⣽⣇⣀⡀⠀⠀⠈⠉⠀⠀⠈⠁⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣯⣥⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠒⠂⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡦⢅⣀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⡏⢻⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⢿⡛⢫⣸⡗⢧⣀⠀⠀⠀⢀⡹⢆⠱⣷⣧⡬⢛⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠷⠶⣚⠻⢿⣏⠼⡀⠈⢹⠛⢻⢀⡠⠓⠻⠿⠖⠉⢿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡟⢠⠄⠀⢩⣳⠒⠒⠈⠉⢻⣀⣨⢿⠀⠀⠀⠀⢠⡀⢸⣿⣿⣿⣿

⠀⠀⡠⣾⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⠏⠀⠀⠀ ⠀⡘⠀⢹⠿⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠄⡀⠀⠀⣶⣿⠟⠛⠉⣀⠀⠀⠀ ⠀⢡⢎⠁⢀⡈⣵⡤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣦⡴⠋⠀⠀⠀⠀ ⢸⠁⣠⡂⣿⠂⠛⡈⠣⡙⢖⠲⢤⠤⠤⢤⣤⣤⠒⠛⢝⣿⣿⣿⣿⣄⠀⠀⠀⠀ ⢸⠰⢩⠋⠙⡰⣀⠘⢦⣌⠒⣬⠃⢀⣴⣿⢿⠛⡳⢲⢣⣿⣿⣿⣿⣿⣷⣶⣤⣄ ⢸⣿⢩⠰⡄⢲⡝⢍⣂⡽⠋⠀⠀⠻⠏⠓⠁⠀⠃⠹⣾⣿⣿⣿⣇⠽⠿⠿⠿⠟ ⠘⡏⣸⢆⠙⢎⢺⢜⠚⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⠃⠀⠀⠀⠀⠀ ⠀⢳⠸⣀⠢⣢⡑⢿⠎⠀⢠⡦⠀⠀⠀⢀⡴⠒⠀⠀⢀⢻⣿⡃⢄⡀⠀⠀⠀⠀ ⠀⠈⡅⠸⣦⡈⠻⣾⣄⢸⠏⠀⠀⠀⠀⠾⠧⠬⠀⠀⡸⣲⠋⣟⢢⡈⠉⠀⠠⠀ ⠀⠀⠰⡀⠈⢿⡆⠑⡙⢯⡐⠄⡀⠀⠀⠀⢀⣀⢤⣴⣱⠃⠄⢘⡞⠈⣦⡀⠀⠀ ⠀⠀⠀⠱⡀⠀⠱⢰⡸⣄⢃⠰⡌⢹⢾⣉⢼⡋⠟⠈⢉⠌⡳⢿⡇⣰⣿⠈⠀⠀ ⠀⠀⠀⠀⢋⢂⠀⢀⠹⣟⢝⣷⣫⣘⠹⡳⠉⠀⠀⢀⡴⢚⢵⡟⢠⡿⢿⠀⠈⢄ ⠀⠀⠀⠀⠀⢢⢱⡄⡑⠘⢄⠱⡠⠔⠉⠀⠀⢀⡔⠁⠱⢧⡞⢇⣾⣅⣸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢙⠥⠤⢁⢢⠍⣢⡁⣤⣴⠾⠯⠄⠉⠶⡞⠒⢹⠃⡟⠋⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠒⠒⢶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠐⠁⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⡤⠄⠀⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠄⠀⠀⣇⠏⣆⢄⠀⠀⠀⠀⠈⢩⣭⡄⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡿⠒⢲⡸⣄⠈⠋⡉⠢⣀⠀⣠⣝⣇⣡⡴⢶⠲⡦⣄⡀⢀⡀⠀ ⠀⠀⢀⠂⠌⠀⡠⢀⢦⠗⠩⠻⡄⠀⠀⠀⣙⣾⣃⡎⠃⠘⡈⠠⠀⠀⠻⡄⢻⠀ ⠀⠀⠜⠸⠀⢀⣹⣿⣿⠗⠀⣈⡋⠄⠀⡀⡄⠀⠀⠀⠀⠈⠙⣿⡶⠀⣈⡱⡞⠁ ⠀⠀⠰⠘⡁⠀⠝⠿⢋⠪⠐⢠⠃⠂⠀⢀⣟⢫⠹⡉⠝⡹⡛⠿⠉⠀⠠⢁⠁⠀ ⠀⠀⠀⠀⠁⠦⢐⣀⣀⡆⠔⡡⠊⠀⠀⠉⠉⠀⠡⣑⠪⢠⢁⣇⡡⠐⣀⣂⠀⠀ ⠉⠉⠉⠉⠉⠁⠒⠀⠀⠂⠈⠉⠁⠀⠀⠀⠀⠀⠀⠉⠁⠒⠀⠀⠒⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠐⠂⠀⠒⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢄⠀⠀⠀⠀ ⣤⠤⠤⠖⣊⢹⡦⣤⡆⠀⢀⣀⡠⢖⡻⣶⡷⡀⢀⠀⠀⣈⡂⠀⠀⠀ ⠈⠒⠄⣀⣀⢹⠀⢻⠛⠧⠽⠚⡞⠁⠀⠈⢃⣲⡉⠣⠴⠠⠙⠢⣀⠀ ⠀⠀⠀⠰⠀⠼⣿⡄⡆⠀⠀⡸⠀⣴⣿⢷⠼⡱⠎⠁⠐⠓⠒⠒⠚⠃ ⠀⠀⠀⠀⠀⠀⢻⠿⢰⠀⠀⡇⢰⠿⠟⣸⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠻⠾⢀⡀⠘⠮⠒⢲⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠚⠓⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠠⡟⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⠁⠆⠀⢀⠋⣇⡀⢄⣀⡠⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⡀⢘⡤⣾⠀⠸⣀⣤⣦⣴⣶⣶⣷⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣔⣯⢴⣿⡀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣀⣾⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠬⠀⠉⢸⡞⢦⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣧⠀⢀⡀⠠⠂⣹⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣦⣤⣤⢴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⡍⠉⡟⠿⡿⢿⣿⣿⠿⠛⠹⢙⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⠆⠀⡆⠀⡆⠈⢻⡡⠂⠀⠒⠒⠨⢆⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡾⠂⠀⢀⡞⠠⠀⡯⠀⠐⠒⠂⠄⣀⠀⠈⠐⠄⡀⠀ ⠀⠀⠀⠀⣠⠿⠃⡀⠀⠈⣄⡠⠼⠄⠒⠈⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄ ⠀⠀⣰⢿⠓⠒⢢⡇⠀⠠⠻⡦⠤⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠚⠁ ⠀⢸⠛⠉⠉⢱⣼⣣⠀⠀⠀⡜⡆⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⢰⠀⠀ ⢀⡿⢄⣠⠖⠉⠀⢩⣧⣀⠄⠳⠇⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠒⠒⠚⠛⠛⠂⠚⠋⠀⠤⠤⠤⠈⠁⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣷⣶⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠀⠀⠀⠀⡆⠀⠀⠀⠡⡈⣿⣿⣾⣿ ⠻⣿⡟⠁⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠠⠃⠀⠀⠀⠀⠀⠀⠀⠡⠘⢻⠿⠿ ⡾⠻⢀⠎⠀⠀⠀⠀⠀⠀⠃⡀⡠⠊⠇⢀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠁⢢⠀ ⢤⠁⠆⠀⠀⠔⠀⠀⠀⢰⡨⡊⠉⠹⢦⡄⠸⠀⠀⠠⠀⠀⠀⡀⠔⣆⡇⢸⠀⠱ ⠼⠸⠀⢀⠊⠀⠀⠀⠒⢼⠷⡷⢶⣦⣦⡙⠀⡆⡠⠁⣀⢤⠺⣷⠀⡿⡃⢸⠀⠀ ⠤⡆⢀⠂⠀⠀⠀⠀⠀⢸⠘⠞⠅⡻⠙⠏⠴⠏⣖⠏⠀⡎⠀⢉⠀⠁⢱⢸⠀⠀ ⠤⡇⡈⢀⠀⠄⠀⠀⠘⣄⢆⠀⠀⠀⠀⠀⠀⠀⠙⡳⣦⡇⢠⡌⠀⡄⢸⡈⢒⠰ ⠀⢹⡃⢸⠀⡜⡄⠀⠠⢃⠑⠢⠀⠀⠀⠀⠀⠀⠀⣃⠉⠆⠸⠥⣤⠁⢈⡟⠐⠓ ⠀⠀⡇⠎⣆⣧⠈⣦⠀⣙⡤⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢀⠀⢀⣿⠀⠀⠃⠠⢀ ⠀⠘⠸⢀⠃⡡⢢⡎⢆⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡄⠀⠈⠀⢸⣿⠀⢸⠀⠀⠉ ⠀⠀⠀⢸⡴⠁⢩⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠁⢃⠀⠀⠀⣿⣿⡄⡇⢠⡄⠀ ⠀⡐⠀⠃⠀⡰⢋⡄⣀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⣂⠀⣸⡿⢹⣷⣽⣼⣷⣶ ⠊⠀⡜⠀⠀⠀⢄⡁⢁⣚⣕⡢⡀⠑⠠⣀⣠⣤⣶⡏⣠⣿⠿⠁⠀⢿⠓⠻⣷⣿ ⠀⡐⠀⠀⠀⠜⢸⣴⣶⣤⣾⣿⣾⡦⠑⢾⣿⣿⣿⣷⣿⡇⠀⠀⠀⢸⠀⠀⠈⣿ ⠋⠀⠀⠀⢈⢂⠜⠙⣿⣿⡿⠟⣻⣅⢻⣠⣧⣼⣿⠇⠹⡇⠀⠀⠀⠈⠀⠀⠀⢸

⠀⠀⠀⣀⡠⡉⢦⡀⠀⠀⠀⠀⠀⠀⠘⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡸⠁⠀⢳⡀⢳⡀⠀⠀⠀⠀⢀⠆⣞⣀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⠁⠀⠀⠀⠱⡆⢳⠀⡲⡶⠚⠉⠁⠀⠀⠀⠈⠁⠲⢤⡤⠠⠤⠗⡄⠀ ⢀⠃⠀⠢⠣⠠⠐⠚⣕⣶⠏⠀⠀⢠⠀⠠⡀⠀⠀⠑⡀⠐⣳⢄⢀⡠⠁⠀ ⠆⠀⠸⣄⠉⠒⠒⣨⣯⡟⠀⠀⢀⠘⠣⡀⠄⠀⣠⡡⠑⠀⠘⣇⠀⠀⠀⠀ ⠀⠀⣀⡀⠀⠉⠈⠻⣿⠃⡆⢠⢈⣮⠤⣿⠒⠭⠪⣌⡁⢰⠀⢤⠃⠀⠀⠀ ⠀⠀⢣⡈⢆⠀⠀⣤⣜⢠⢳⠀⠻⣇⢪⣿⠇⠀⠀⠙⠻⠿⡄⡸⡀⠀⠀⠀ ⡤⢄⡀⠱⢠⠇⢗⡓⣟⣾⣼⡗⢦⠌⢦⠀⠀⠤⠤⠀⠀⢀⠧⠧⠃⠀⠀⠀ ⠈⢒⠄⠙⢷⣦⣰⠉⠣⢽⣭⡟⠦⠓⠬⠀⣀⣀⣀⣤⠂⢃⠋⠀⣀⠤⡦⠀ ⠀⠀⠉⠶⢾⢽⣿⣟⠚⠓⢺⡁⠀⠀⣀⣍⠱⣼⣽⣯⣼⠦⠦⠜⠥⢿⡇⠀ ⠀⠀⠀⡔⣁⠔⠒⢉⠷⢿⣼⣧⣄⠀⣿⣺⣿⣿⣿⣻⣿⠢⠤⠔⢊⡉⠢⡀ ⠀⠀⠀⠛⠀⢰⣿⠁⢠⠛⠟⠋⠈⢤⢻⢿⣯⣿⣿⣿⣿⣷⣄⡠⠐⠀⠑⠃ ⠀⠀⠀⠀⠀⠸⢾⣇⣿⣷⠠⣄⣰⠛⠓⢞⡏⡿⢿⢿⡿⢛⣿⣧⣀⠀⠀⠀ ⡆⢀⠄⠀⠀⠘⣼⣿⣿⣿⣶⡿⠒⠻⠶⣾⣛⣥⠇⠛⢶⠶⠾⣾⠃⠀⠀⠀

⠀⠀⠀⠀⠀⠀⡔⠡⠀⠀⠠⢁⠀⠀⠀⢀⢰⡹⠛⠻⣆⠀⢀⠀⠀⢃⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⡘⠠⠁⠀⠄⠆⠎⠀⠀⠐⠈⡘⠀⠀⠀⠹⡀⠀⡀⠀⠘⠀⠀⠀⢸ ⠀⠀⠀⠀⢰⠀⠆⠀⠆⠀⢸⠀⠀⠀⠆⢆⡁⠀⠀⠀⠀⢗⠀⠳⠀⠀⡇⠀⠀⢸ ⣖⡠⢄⡀⠚⢸⠀⢠⠀⢀⡞⢀⠈⠀⣟⠎⣤⣉⠅⣂⢄⢸⠀⡄⠀⠀⡇⠀⠀⢸ ⡏⠋⣿⠺⣷⢸⡀⢸⣤⠘⣣⢸⡾⢠⡟⠘⠋⣫⣿⡦⣁⣸⢠⣵⠀⢠⠀⠀⠀⢸ ⣿⣶⣸⣴⣹⣾⣷⡈⡏⢂⠿⠄⠿⢧⣁⠀⠀⠸⡻⠀⠈⣨⣪⣤⠀⡈⠀⠀⠀⢸ ⣷⢹⣿⣻⣻⣿⣿⠫⡃⠀⠉⠈⠘⡁⣀⠀⠀⠂⠀⠀⠀⢋⡿⠻⠀⠃⠀⠀⠀⢸ ⣻⣿⣿⣿⣿⣿⡿⠀⠰⡀⠀⠀⠀⢈⣀⠀⠀⠀⠀⠀⣰⡡⡔⠀⢸⠀⠀⠀⠀⢸ ⣯⠗⣟⣿⣿⣿⠇⠀⢰⡀⢠⡀⠀⠀⠂⠀⠀⠀⣠⢾⢼⡇⠇⡇⠀⠀⠀⠀⠀⢸ ⡇⢠⠉⢿⣿⡟⠀⠀⡸⠁⠸⡏⣖⣄⠠⣤⠒⡹⡞⢸⠀⢀⠀⡇⡆⠀⠀⠀⠀⢸ ⣿⣯⣶⣾⡟⠀⢀⠔⢁⠠⣔⣉⢊⠈⠖⠀⠛⢀⠧⡈⡀⠀⡆⠹⢡⠀⠀⠀⠀⢸ ⡿⠛⠋⠉⠀⢍⡉⠀⠀⠀⠀⠰⠤⠚⢄⢀⠞⢥⠁⠊⠑⠠⢰⣀⠁⠆⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠈⠑⠠⠄⢀⠀⢠⠀⠀⠀⠀⠀⠀⠀⢀⠴⠃⠀⠀⠉⠁⠒⠄⢸ ⠉⠐⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠣⠀⠀⡤⠔⠂⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠘⡒⢠⠉⠉⠁⢢⠤⠀⠀⠤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸