Pomni Spreading Herself Emojis & Text

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⠀⡸⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⡴⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡇⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣹⣿⣵⡽⣏⠆⡭⣇⠀⠀⠀⠀⠀⠀⠀⠚⠙⠒⠲⠂⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⠵⡹⣷⣿⣷⣧⢿⣆⡩⢻⣵⢫⣽⣿⠀⠀⠀⠀⠀⠸⣸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀ ⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⡼⠋⢸⡘⣿⣿⣿⣿⢃⡒⣻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⣿⣿⠰⢡⠹⣿⣿⡿⣼⡋⠳⣦⡙⣷⣎⣿⡀⠀⠀⠀⠀⠀⠙⣧⠀⠀⠀⠀⠀⠀⠀⢀⠆⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀ ⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⣰⠃⠀⠸⣇⡿⣿⣾⣿⢠⡓⠼⣿⣷⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣅⢣⢃⠽⣿⠁⠟⠀⠀⠈⠻⣦⠻⣾⣇⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⣴⠅⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠂⠀⠀⠀ ⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⠐⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⢿⠁⠹⣿⢻⢦⡉⠞⣿⢿⣿⣿⣿⣿⠖⠒⠂⠤⣤⣤⣴⠞⣿⣿⣿⣿⣿⣿⡧⠼⣷⢊⡌⢎⢽⡄⠀⠀⠀⠀⠀⠈⢳⡿⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀ ⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠸⣄⠀⠀⠀⠀⠀⠀⠀⠀⠸⠛⠁⠀⠀⠀⠀⢀⠞⢧⡀⠀⠀⠈⣴⠞⢙⡿⢨⢿⡘⣿⠬⠿⢽⣿⣻⣆⠀⠀⠀⠀⠀⣀⣀⡿⠷⠛⠊⠁⠀⢀⠀⢻⣇⢺⣌⠚⣿⣆⠀⠀⠀⠀⢠⡟⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡁⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀ ⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠫⣓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠘⣷⠀⢀⡼⠁⠀⢼⡣⢃⣿⣜⣧⡶⠀⠀⠀⠀⠀⠉⠑⠴⠖⠉⠁⠀⠀⠀⠀⠀⠀⠀⠘⠻⢾⣿⡸⣧⠩⢽⡞⢇⠀⠀⢰⠏⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀ ⠀⠈⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠈⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⠀⠀⠀⠘⣷⣼⠁⠀⠀⢺⣥⣧⠯⠿⠓⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⢙⣛⣻⣷⣿⣇⠈⢆⣰⠏⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⣠⡞⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠻⣧⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠈⣷⣀⡞⠛⢻⡏⠑⠲⢦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⢟⠀⠈⣷⣼⠋⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠀⠀⠀⠀⡷⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⣤⡴⣖⠷⣦⡴⠞⠉⠀⠀⡩⠟⠁⠀⠀⠀⠻⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⢀⡇⡞⡄⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠉⠲⣄⡀⠀⠀⠘⣶⠶⠲⠷⣦⣀⠀⠀⠀ ⠀⠀⠀⣷⣹⢬⣿⠏⠀⠀⠀⡴⠋⠁⠀⠀⠀⠀⠀⠀⠘⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⣄⠀⠀⣿⢹⡅⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠸⡗⡇⠒⣨⣽⠄⠀⠀ ⠀⠀⠀⣿⣿⢣⡏⠀⠀⠀⢴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⡿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠇⠀⠸⡾⠇⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀⠀⢰⡗⡣⢉⣿⣿⠂⠀⠀ ⣀⣀⡤⣟⢯⢳⡇⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⣀⠞⠉⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠙⢦⣄⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⢸⡅⠇⡌⠛⠿⢤⣀⡀ ⣿⣳⣹⣬⢞⣣⢷⠀⠀⠀⠀⠘⠢⣀⡀⢀⣀⣠⣶⡏⠀⠀⠀⠀⠈⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⢸⠉⠳⢤⡄⠤⠔⠋⠀⠀⠀⢀⡞⡈⠤⢠⠁⠤⢆⢸⡿ ⠘⠳⠿⠼⠾⣧⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠈⢁⠜⠀⠀⠀⠀⠀⠀⠈⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣏⡶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⣧⡀⠀⠀⠀⠀⠀⠀⠀⣠⣏⡐⣌⣘⣤⣯⠶⠾⠿⠃ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠢⠤⣀⣀⣀⣠⠤⠒⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠾⠁⠀⠀⠀⠀⠀⠀⠀⠈⠳⠤⣀⣀⣀⠤⠖⠋⠉⠉⠉⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⡄⠀⠤⠄⠀⣀⠀⠀⠀⠀⠀⠀⢀⣀⡤⣤⢤⠤⡤⠄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣻⣽⢻⡾⣽⡄⠀⡀⠄⠀⠈⠉⠒⣴⠯⣝⡳⢮⡵⣫⢞⣻⠃⠀⠐⠌⠐⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣾⣻⣼⣳⢯⡿⣽⣳⢿⡀⢀⠂⢁⠂⠐⡀⣿⡝⣮⢽⡳⣝⣳⢯⡟⠀⢁⠂⠠⠑⡀⠈⠢⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡾⡽⣶⣻⢾⡽⣯⣟⡷⣯⣟⣧⠀⡐⢀⠊⣀⣄⣳⢯⣟⡾⣝⣯⢟⣾⠁⡈⠄⠠⢁⡐⠀⠡⢄⠑⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⡿⣽⣻⡵⣯⢿⣽⣳⢯⣟⣷⡻⠞⠓⠊⢉⣩⣤⣄⡀⠀⣠⣿⣏⠉⠙⠚⠤⢔⡊⢔⠂⠤⢁⠂⠘⢀⡐⡀⠀⠀⠀⠀ ⠀⠀⠀⣰⡿⡽⣣⠸⣿⣽⣻⢾⣽⠻⠊⠁⠀⢀⠠⢠⣿⣿⣿⣿⣿⡖⢻⣿⣿⣧⡀⡀⠀⠀⠈⠓⢎⡳⣄⢂⢡⡟⣧⢡⠀⠀⠀⠀ ⠀⠀⣰⡿⣿⡑⡯⡄⠹⣾⣽⠟⠁⠀⡠⠐⠈⠀⠀⠘⠛⠛⠛⠿⠿⠗⠀⢹⠉⠁⠰⡄⠁⠢⣀⠀⠀⡙⢮⢅⣿⣽⣯⠂⡇⠀⠀⠀ ⠀⠀⢿⣽⠧⣱⣍⣧⡀⡹⠁⠀⠀⠈⠀⡠⠔⠒⠒⠒⠢⢄⡀⠀⠀⠀⠀⡨⠖⠈⠉⠉⠑⠲⢅⠑⢄⠀⠀⢫⣷⣾⡿⣧⢸⠀⠀⠀ ⠀⡔⠀⠈⠙⠏⠀⠀⠐⠁⣠⡆⠀⡰⠉⢀⣴⠾⡟⣶⣦⡀⠙⣄⠀⢀⠎⢀⣴⢟⣻⣿⡷⣆⠀⢷⠀⣲⡀⠀⡷⠻⣿⠟⠋⠂⠄⠀ ⠀⠁⢄⣀⡠⠂⠀⠀⠀⣠⣿⣧⢀⠁⢠⡟⠯⣝⣇⣹⣔⣿⡄⢹⢠⡘⠀⣾⣿⢶⣼⣿⠗⢺⣇⠈⡇⣿⣿⢀⠁⠀⢇⠀⠄⣀⠆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡸⠀⢸⣄⣠⡴⣿⠓⠾⣽⠇⢸⠀⢼⠀⢻⡿⠚⣽⣷⣶⣬⡟⠀⣿⣿⣿⠈⠀⠀⠀⠈⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣧⢣⠀⠹⢧⣟⣗⣠⡴⠋⢀⠎⠀⠈⢣⡀⠙⠷⣾⣿⡾⠟⠀⡸⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡆⠑⡤⣀⠈⠉⢁⣠⡜⠋⠀⠀⠀⠀⠉⠳⠤⣀⣀⣠⡴⣎⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣷⠨⡁⠄⢉⡏⡇⠀⠙⠀⠀⣀⣀⠀⠀⠀⠀⠿⣹⣶⣹⠝⣸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⠆⠈⠉⠉⠉⠀⠀⠀⢠⡋⠁⠀⢳⡄⠀⠀⠀⠀⠀⠀⢰⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣩⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⣽⣳⠯⠿⢿⠍⡉⠀⠒⠒⠀⢤⡄⠀⠀⠐⠒⠒⣲⣿⣟⣯⡟⡴⢝⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⣀⣀⡀⢀⠀⠀⢠⠈⡟⡉⠠⢈⠰⣸⠠⠘⢆⠀⢀⠔⠛⠛⣦⠀⠀⢀⣼⣿⣟⡿⣯⢿⣿⡎⡌⠀⠀⡀⢀⣄⡀⣀⠀⠀⠀ ⠀⢾⡿⣽⢯⡿⡄⠡⠀⠀⡆⢹⢀⡁⢢⣰⡗⢌⡡⢊⡕⣫⡀⠀⢀⣾⡷⣦⡿⣟⡿⣾⣽⢯⣟⡾⡇⠃⠀⡘⢀⡎⡤⠰⠤⢇⠀⠀ ⠀⣰⡿⣽⢯⣟⣿⣄⠡⠄⠓⠈⠛⣲⣷⠏⠐⢌⡒⣣⠜⣄⡺⠿⠿⣯⣟⣷⣻⢯⣿⣽⣻⢿⢾⠛⠃⠐⠂⠇⣞⡱⣽⢻⣿⢣⠑⢄ ⠰⡿⣽⢯⣟⣾⡳⠉⠀⠀⠀⠀⢀⣿⡧⣉⠒⠦⡑⢮⡙⢶⠀⠀⠀⢸⣿⢾⣽⣻⣞⣷⣻⢿⡏⡄⠀⠀⠀⠀⠀⠑⠡⢋⣞⢣⣛⡾ ⠀⠙⠯⠟⠛⠈⠀⠀⠀⠀⠀⠀⢸⣾⣷⣤⣛⠶⡙⢆⠻⡜⡳⣶⣶⡿⣯⣟⡾⣷⣻⢾⣯⣿⠿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⠤⠶⠋⣀⣀⣀⠙⠻⣽⣎⡳⣽⠱⣽⣷⣻⢷⣯⢿⣳⣿⠿⡙⣌⠳⣹⡿⣶⢤⣔⣦⣤⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠎⠁⡄⠂⠌⡐⠢⠙⠄⠈⠙⠳⣾⣿⣟⡼⣫⢽⣾⢯⣟⣾⣿⢿⣥⣛⠔⡊⠉⣩⢿⣽⣻⣞⡷⣯⣟⡷⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⡎⢀⠢⠄⢁⠂⠠⠐⠀⠄⢱⡠⠀⡹⣾⡟⣿⣧⢿⣟⣯⢿⣾⣸⣟⡿⠃⢊⠂⡼⣏⡿⣞⡷⣯⣟⡷⣯⣟⣷⠀⠀⠀ ⠀⠀⠀⠀⠀⢇⠌⡂⠌⠀⠄⡁⠠⢁⠈⠄⡇⡇⣇⣿⡿⠿⠿⠿⠿⠾⠯⠿⢼⣽⣃⠀⢈⢸⣽⢯⡿⣽⣻⢷⣯⢿⣽⢾⡝⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢆⠀⡌⡐⠂⠄⢁⠠⡘⣸⢃⣴⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠈⠳⣿⣮⡈⠀⢿⣯⣟⣷⣻⣟⡾⣟⣾⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠑⠶⠤⠵⠬⠦⠶⠖⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠒⠛⠾⠽⠷⠯⠿⠟⠁⠀⠀⠀⠀⠀

⠀⠀⠀⣠⠔⠒⣂⣠⠄⠀⠂⠀⠀⠀⠀⠀⠀⠀⠒⠒⠒⡀⠀⠀⠀ ⠀⢀⣾⠏⠀⣰⡏⠉⠉⠙⠓⠒⠢⠤⣀⣀⠀⠀⠀⠀⠀⢇⠀⠀⠀ ⣰⣽⣿⣆⣜⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠶⣄⡀⠸⠀⠀⠀ ⢻⣼⡍⠃⠛⠤⢤⣀⣈⣶⣶⣶⣦⣤⣤⣤⣄⣀⠀⠀⠉⠗⠂⠄⠀ ⠀⢃⠈⢓⣄⠀⠀⠀⠀⠀⠀⠉⠐⠀⠀⠀⠢⠍⠙⣷⢦⡀⠀⢼⣦ ⠀⠘⡀⠀⠐⠂⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢝⣤⣾⠎ ⠀⢠⡇⠀⠀⠀⠀⠀⠐⠒⠀⠒⠚⠛⠓⠒⠂⠠⠤⠀⠀⠉⢛⡿⠁ ⠀⣸⠧⠀⠀⠤⠀⠀⠠⠤⠤⣀⣀⣀⣀⡠⠤⠀⠀⠀⠒⡶⠉⠀⠀ ⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⠁⠀⠀⠀⠀⢠⠇⠀⠀⠀ ⠀⢸⠃⠀⠀⠠⠤⠤⢈⣉⡁⠀⠀⠉⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀ ⠀⠘⣶⡯⠔⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⡀⢹⡄⠀⠀⠀⠀ ⠀⢸⠁⠀⠀⠀⠀⠈⠉⠉⠑⠒⠂⠐⠴⠂⠀⠀⠙⢶⠇⠀⠀⠀⠀ ⠀⠸⣶⣶⣤⣀⡐⠒⢛⣓⣬⣭⣭⣥⣀⡀⠀⠀⠀⣴⠀⠀⠀⠀⠀ ⠀⠀⢻⣆⠉⠛⠛⠋⢉⡔⠁⠀⢆⠉⠉⠛⠲⠶⢖⠃⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⡿⠶⠒⠒⠁⠀⡄⠀⢎⠳⣤⣀⣀⡠⠊⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠏⠀⠀⡜⠀⠀⠀⡇⠀⠀⢆⠈⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡆⠀⠰⠁⠀⠀⠀⡇⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠑⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡾⠃⠀⠀⠀⠀⠐⠃⠀⠀⠈⠄⠀⠀⠀⠈⢦⠀⠀⠀⠀ ⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀⠀⠀⠀⠈⢧⠀⠀⠀ ⠀⠀⠀⡇⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⢀⡴⠛⡆⠀⠀ ⠀⠀⠀⡁⠀⠀⠘⣦⠀⠀⠀⠀⠀⠀⠀⠈⣀⣤⠖⠋⠀⠀⡇⠀⠀ ⠀⠀⠀⡏⠉⠓⠲⠿⠷⠤⣤⣤⣤⣴⣶⠟⠉⠀⠀⠀⠀⢰⡇⠀⠀ ⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⠋⠀⠀⠀⠀⠀⠀⣾⠇⠀⠀ ⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠘⡧⠀⠀⠀⠀⠀⠀⢸⡿⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⢶⣿⣛⢟⡻⣛⠶⣲⢦⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣶⢶⣿⢻⠿⣽⢟⡻⣳⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠿⣏⣟⣮⠷⣯⢿⣖⡭⣚⠵⣊⠶⣩⠞⡽⣳⢦⣤⣤⠤⢤⣤⣤⣶⢿⡻⣽⡳⡽⣞⣞⣯⢿⡙⢮⡱⢣⢞⣳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡟⣯⣻⢽⣚⡾⣽⢳⣻⢞⣷⡭⣚⢭⡚⣥⢛⡴⢣⠞⡼⣩⣿⣟⢯⣟⣼⡳⣟⣵⡻⣝⡷⣾⡙⢦⣋⠧⣝⡣⡞⡴⢫⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣾⢯⣽⢳⣭⢯⣻⣼⢳⣯⡳⣟⠾⣽⣞⢦⣹⠶⠟⠚⢛⣩⣍⡉⠉⠉⠉⠉⠓⠛⠛⠶⣿⣹⡾⢥⡛⡼⣌⢻⡔⣳⠹⣜⢣⠞⡽⣦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡿⡽⣞⣧⡟⣾⣹⣳⢞⣯⢶⣻⣭⣟⡷⠛⠉⠀⠀⢀⣼⣿⣿⣻⣿⣦⢴⣿⣿⣦⣀⠀⠀⠀⠈⠛⢶⣙⠶⣩⢖⡹⣒⠯⣜⣣⢛⡼⣙⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡿⣽⢻⣼⡶⣛⣧⠿⣼⡻⣼⡳⢷⡞⠋⢀⡠⠄⢒⡉⣹⣿⣻⣾⣟⣷⣿⠾⠿⠽⠿⠄⣀⣩⣗⣠⢄⠀⠈⢻⣆⡏⢶⡙⢮⡱⢎⡳⣜⡱⣚⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡿⣽⡳⢯⠲⡝⣿⡾⣹⠷⣽⢳⡿⠋⣠⡦⠕⠈⠁⠀⠀⠉⠉⠙⠫⡉⠉⠉⠀⠀⠧⠂⠁⠀⠀⠀⠀⠈⠙⢶⡁⠙⣼⢣⡝⣣⢝⣮⡿⣶⣇⡳⣜⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⣟⣟⡹⢎⣳⠽⢦⡝⣯⡿⣭⡿⢁⣴⠏⠀⢀⣴⢶⣻⢏⠶⠢⡀⠀⠈⣄⠀⢠⠊⠀⢀⣴⢺⡙⣿⠓⠒⢄⠀⠙⡄⠘⣧⣚⣵⣿⠯⣞⣷⢫⣷⣎⠽⡆⠀⠀⠀ ⠀⠀⠀⢰⣿⣋⢶⡽⠋⠁⠀⣼⠙⣶⡹⢷⡃⣼⡏⠀⢰⡛⢯⣾⢽⣚⣦⢠⡿⣆⠀⠘⠀⡎⠀⢀⣿⢦⣧⣙⣯⢧⢤⠼⡆⠀⠘⣆⢹⣼⡿⠁⠀⠹⡍⠻⣮⣟⣯⢷⠀⠀⠀ ⠀⠀⠀⣼⢳⡼⠋⠀⠀⠀⣰⠃⠀⠈⢷⣻⣽⣿⡃⠀⢸⡙⠶⣬⣿⢻⢾⣭⢷⣻⠀⠀⠁⡇⠀⢸⣯⢗⣯⡽⣿⣥⣏⠞⡇⠀⢠⣿⡀⡟⠁⠀⠀⠀⢿⠀⠈⢿⣞⣿⡇⠀⠀ ⠀⡠⠤⢯⡏⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⢻⣿⣟⣧⠀⠘⢯⣿⣳⢻⡜⡲⢎⡻⠃⠀⡸⠀⠸⡀⠀⠻⣞⠷⡱⣟⣞⢾⡻⠁⠀⣰⣿⣧⠃⠀⠀⠀⠀⠘⡇⠀⠀⠹⣾⣇⠀⠀ ⡎⠀⠀⠀⢱⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⣿⡿⣿⣇⠀⠀⠉⠹⠷⠾⠷⠉⠀⠀⡰⠀⠀⠀⠹⡀⠀⠈⠹⠷⠿⠾⠉⠀⠀⣰⣿⡿⣏⠀⠀⠀⠀⠀⠀⣿⠀⠀⠰⠁⠀⠈⢇ ⠱⢄⣀⡠⠞⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⢀⣿⣿⣽⡟⠑⠦⢀⣀⣀⣀⡀⠠⢴⡈⠀⠀⠀⠀⠀⠈⠒⠄⣀⡀⢀⣀⣀⠤⢚⣿⣿⣽⡧⠀⠀⠀⠀⠀⠀⣿⠀⠀⢣⠀⠀⠀⡸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⢸⣿⣷⣻⡇⢂⠐⠠⠸⠇⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠍⠉⡀⠀⠄⣸⣿⡷⣟⣷⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠉⠀⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⢸⣿⡾⣟⣷⣄⠈⠁⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠂⠓⠈⢸⣿⣻⣟⣿⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⣸⣿⣟⣿⣟⡾⣳⣄⠀⠀⠀⠀⠀⠀⠀⡠⠊⠉⠁⢆⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣽⣯⣿⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⢀⣴⣟⡿⣾⣯⣿⣋⠷⣩⣿⡒⠤⣀⠀⠀⠀⠁⠀⠀⠀⠈⠀⠀⠀⢀⣠⣴⣚⢧⢣⢿⣟⣾⣽⣏⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⣿⣳⣞⠿⣍⢟⣿⢬⣓⣿⡽⣻⢦⡀⠈⠉⠑⠒⣶⡒⠒⠒⠒⠈⢉⣵⢫⠽⣾⡌⢧⣻⠿⣭⢳⣟⣧⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣵⣏⠳⡜⢮⡜⢦⣽⣯⠷⣏⡿⡽⣶⣄⢠⡾⢯⡟⣦⡀⣠⣴⢛⢦⣋⠞⣽⡞⣥⢋⠷⣌⢻⡾⣽⡇⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣮⠝⣎⠳⣜⠳⣾⣽⢫⣟⣼⣻⡼⢯⣟⡽⢯⡷⣸⡙⢧⢎⡝⣦⡙⢮⣽⡟⡴⣋⠗⣎⢧⢻⣽⣧⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣼⣹⡼⣟⣿⣯⡟⣼⢧⢷⡻⣽⢮⠛⠋⠉⠓⣽⢎⡞⡜⡦⣝⢣⣾⢿⣳⣭⣞⣜⢮⣹⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣽⡯⠾⢷⣻⠽⣞⣯⢽⣞⠃⠀⠀⠀⠀⠈⡗⢮⡱⢳⢬⢣⡿⠯⢷⣽⣾⡽⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⢼⣯⣟⣳⡞⣯⣞⣧⡀⠀⠀⢀⡴⣏⢧⡙⢧⢎⣻⣇⣠⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⠷⠾⣭⣿⣷⣯⣿⣼⡼⠶⠿⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⬛🟦🟦🟦🟨🟨🟨🟨🟨🟨🟨🟥🟥🟥⬛ 🟦🟦🟦🟨🟨🟨🟨🟨🟨🟨🟨🟨🟥🟥🟥 🟦🟦🟨🟨🟨🟫🟫🟫🟫🟫🟨🟨🟨🟥🟥 🟦🟨🟨🟫⬜🟫🟫🟫🟫🟫⬜🟫🟨🟨🟥 🟦🟨🟫🟫⬜🟫🟫🟫🟫🟫⬜🟫🟫🟨🟥 🟥🟫🟫🟫⬜🟫🟫🟫🟫🟫⬛🟫🟫🟫🟦 🟥🟫🟫⬛⬛⬛⬛🟫⬛⬛⬛⬛🟫🟫🟦 <-----> +*Pomni*+ 🟥🟫🟫⬛⬜🟥⬛⬜⬛🟦⬜⬛⬛🟫🟦 🟥🟫🟫⬛⬜🟦⬛⬜⬛🟥⬜⬛🟫🟫🟦 (TADC) 🟦🟫⬛⬛⬜🟥⬛⬜⬛🟦⬜⬛🟫🟫🟥 🟦🟫🟫⬛⬛⬛⬛⬜⬛⬛⬛⬛🟫🟫🟥 <3 🟦🟫🩷🩷⬛🩷⬜⬜⬜🩷🩷🩷🩷🟫🟥 🟡🟫🟫🟫🟫⬛⬛⬛⬛⬛🟫🟫🟫🟫🟡 ⬛🟥🟫🟫🟨🟨🟨🟨🟨🟨🟨🟫🟫🟦⬛ ⬛🟥🟦🟥🟦🟨🟦🟡🟥🟨🟥🟦🟥🟦⬛

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⣄⠀⠀⠀⣀⣤⣶⣀⣀⣶⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢺⣿⣶⠿⠛⠋⠉⠉⠉⠉⠉⠛⠾⡟⢷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠛⠀⣠⣤⣤⢤⣮⠿⣧⣤⣀⡐⠳⢤⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⡿⠀⢠⡟⠉⠻⣄⠀⣻⡀⢠⣯⠈⣹⣷⣄⠿⣿⣿⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡴ ⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⢸⠃⠀⣾⠳⣄⣀⣿⣷⣿⣿⠟⢿⣿⣿⣿⣿⣷⣬⣉⣛⣛⣛⣷⡶⣶⡆⠀⠀⠀⠀⠀⠀⠀⣠⣴⣻⡟⣼⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢲⣿⠀⣦⣿⣀⣼⡿⣿⢽⣾⣧⣴⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣽⠟⠁⠀⠀⠀⠀⢀⣴⡾⠉⢀⡿⢠⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠈⣿⣇⣀⣽⠏⠨⣬⣬⠽⠙⠘⠋⠁⠈⠁⢸⣿⣿⣿⣿⣿⣿⣏⡀⠀⠀⠀⣀⣴⣿⡿⠀⠀⢸⠁⢸⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡆⡿⡅⢙⣿⣴⣲⣶⠀⠊⢁⠀⠀⠀⡎⢀⡀⣸⣿⣿⣷⣿⣿⣿⣷⣿⣿⡿⢿⢵⡟⠀⠀⠀⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⢷⣿⣿⣿⣇⡹⠃⠀⠀⠈⠀⠀⠀⠙⠾⣿⢿⣿⠿⠛⠛⠻⢷⡿⢡⠟⣰⠃⡾⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠘⣿⣏⢿⣯⣷⠒⠀⠀⠀⠀⠰⡟⠉⡇⢠⡿⠋⠀⠀⠀⠀⠀⣼⠀⡏⢠⡇⠀⢻⡀⠀⠀⠀⣿⡀⠀⠀⢦ ⠀⠀⠀⠀⠀⠀⠀⠈⢹⡀⠀⠀⠙⢿⣼⣿⡿⣷⣄⣠⠆⢀⣀⡈⢂⣀⡞⠀⠀⠀⠀⠀⠀⠀⢹⡆⢷⡀⢧⡀⠀⠳⣄⠀⠀⠈⠻⣄⡀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⢸⣿⣿⣧⣴⣿⣿⣿⢟⣻⣿⣿⣿⡇⠀⠀⢀⣀⠀⠀⣀⣸⣧⣈⣷⣌⠛⢦⣀⡙⠀⠀⠀⠀⠈⠙⢶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⢸⢿⣿⣛⡿⠟⠛⠉⠉⠛⠫⣟⠋⠀⡐⢚⡛⠓⠛⠛⠋⠉⠉⢻⣿⡿⢷⣀⠈⣿⣷⣶⣦⣤⡤⠖⠚ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠈⠉⢀⡾⠃⠀⠀⠀⠀⣠⣾⣥⣶⠟⠙⣋⠁⠀⠀⠀⠀⠁⠀⢐⣿⣷⣤⡼⠓⠾⠟⠛⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⢀⡜⠁⠀⠀⠀⣀⡾⢋⣭⡞⠁⠒⠚⠛⢉⣉⣀⣀⠀⠄⠀⢀⣺⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⢠⢿⠀⠀⠀⠀⣴⡿⢋⣻⠅⣠⣴⠦⠚⠋⠉⠉⠉⠉⠉⠉⢛⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠿⠿⣄⠀⠀⣸⣗⡴⠟⣡⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣀⣠⡤⣤⣞⡛⠒⠶⢿⣷⣴⣿⡿⣫⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠙⢿⡛⠿⣍⠛⠯⣄⡉⢍⡐⠨⣍⠙⡲⣿⣿⣾⣿⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣷⡀⠉⠲⡈⠳⣄⠀⠙⢲⠀⢀⠀⣽⣿⣾⣿⡿⠋⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠙⣿⠀⠀⠙⠀⠙⢦⠀⠀⣧⢺⡇⡿⣿⡿⠃⠀⠀⠀⠀⡇⣳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡄⠀⠀⠀⠀⢸⣇⣼⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⢰⡃⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠃⢠⠀⠀⠐⢠⣿⡿⣋⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⡇⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡾⢠⣟⡀⣠⡴⠿⠿⠾⠋⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣀⣀⣳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⡷⠿⠟⠋⠉⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣏⢱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⢻⡝⠓⠿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣻⡇⠘⡆⠸⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠘⣿⠀⠹⡦⡘⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⢧⣼⡄⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠈⢧⣧⠾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣠⡫⠼⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⣾⡆⠰⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⠀⢤⡀⠀⠀⠀⠀⠀⠀⣶⣿⡗⠾⠀⢀⠀⠀⣀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠠⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠊⡀⠀⠀⢀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡏⢠⣧⡀⣿⣷⡆⢯⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢧⢿⣿⡿⠟⠻⢻⢹⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣤⢘⣧⢣⡀⠀⠀⣸⣴⡏⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣽⣼⢿⣆⣋⠕⢉⡜⡈⠧⠉⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⠹⠩⡿⠉⡏⡆⠚⠇⣆⠂⡄⢀⠇⠀⠀⠀⣠⠖⠈⠑⢆ ⠀⠀⠀⠀⠀⠀⠈⡄⢡⡁⣳⡿⠁⠀⠈⠛⠀⠛⠎⡆⢀⡠⠊⠀⠀⠀⠀⠸ ⢀⠤⠤⢀⡀⠀⠀⢡⠀⢣⡁⠀⢀⠀⠀⠀⠠⠴⠗⡩⠊⠀⢀⠎⠀⠀⠀⠇ ⡇⠀⠀⠀⡀⠉⠐⠠⢄⡀⢱⡀⠁⠀⠀⠁⠀⡠⠋⠀⠀⢠⠂⠀⠀⠀⢠⠀ ⠡⡀⠀⠀⠈⠂⢄⠀⠀⠈⠙⠠⡀⢀⣤⢀⡔⠁⠀⠀⠀⡆⠀⠀⠀⠀⠎⠀ ⠀⠈⢄⠀⠀⠀⠀⠠⡀⠀⠀⠀⠈⣉⣳⠀⠀⠀⠀⠀⠀⡇⠀⠀⢀⠊⠀⠀ ⠀⠀⠀⠁⢀⠀⠀⠀⠡⡀⠀⠀⠀⠀⠘⠔⠀⠀⠀⠀⢠⠩⠦⢠⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠐⠄⡀⠠⠈⠢⢀⠀⠀⠀⡸⠄⣀⣀⣠⡇⠀⢀⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠈⡗⠖⠊⠀⠀⠀⠀⢦⠘⡶⢻⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣍⡆⣸⠀⠀⠀⠀⠀⠈⠳⣸⠫⠑⠙⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠅⠐⠀⡇⠀⠀⠀⠀⠀⠀⠀⠙⠶⠦⠞⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠦⠶⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠟⢉⣕⡞⣼⣿⣿⣿⣿⣿⡟⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣳⡀⢻⣤⣴⣴⣶⣶⣶⣿⣿⣷⣤⣼⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⣼⢧⣿⣦⠬⡜⣼⡝⣿⢹⣿⣿⡟⣁⡀⣴⣿⡟⣹⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣗⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⢰⣿⢀⣿⢀⠨⢳⣷⢴⣧⣸⣟⡟⠉⢁⡾⠋⣀⡴⢃⡠⣠⣿⣻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡝⠋⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⣾⣧⢸⣻⠀⢩⡏⠀⣸⣯⣿⡿⠒⣲⠟⠘⣩⠿⣠⠏⣴⣿⢯⣟⣹⣄⡿⣿⣿⣿⠏⣿⣿⣿⣧⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠘⢸⡇⣰⣿⠏⣿⣀⡼⠧⢶⣶⣳⡞⢳⠞⣿⣣⠏⠀⢠⣞⣀⣸⣿⣿⠀⢻⣿⣿⣿⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡦⣿⣷⣿⢹⠀⣯⣞⣧⣔⣯⣿⣯⡾⢃⣾⠟⠁⢀⣴⡟⢀⣼⡟⣾⡿⣐⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⣸⣿⣧⢹⣾⣴⣿⠋⡇⢸⣸⣿⣿⣿⣿⣿⣿⣯⣶⠟⠋⢀⣴⣫⢏⣴⠟⣽⣿⡟⠀⠈⢹⣿⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢳⠇⣿⣿⣿⣿⢹⡀⠃⢸⡜⣿⢹⣿⣷⣿⣿⡿⣷⠶⠚⠛⢛⡿⠋⣠⣾⣿⣿⣤⣦⣀⢸⡟⣠⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⢠⡞⣸⢻⣿⣿⣿⣾⣗⠄⠘⡇⣿⠚⠻⠿⠯⠿⠅⠀⠠⢄⠍⢨⡙⠊⠑⣿⣿⣯⣿⡿⠻⣿⢡⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⣾⢣⡟⢸⠀⣿⣿⣷⣿⣦⠀⣷⣹⣣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠛⠿⠿⡿⣁⣼⣿⡟⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⢠⣇⣼⣿⣾⠀⣿⣿⣮⡛⢿⣧⣽⡿⣿⣷⡤⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠶⠆⣰⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⡼⣼⣿⡏⡟⣼⣿⣿⣿⡻⣿⠃⣸⡟⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢰⢳⢻⡿⣠⡷⣿⣿⣿⣿⡏⢻⣴⠏⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⣼⣿⡛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⡞⡞⣼⣷⢻⡇⣸⣿⣿⣿⡿⡟⠅⣴⣿⡟⢤⣀⠀⠀⠀⠀⠈⢿⡟⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢠⢻⢁⡿⠇⣸⠇⣿⣿⣿⣿⣇⣿⠞⣡⣿⣧⣤⣽⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⡞⣸⠃⢀⣿⢀⣿⣿⣿⣿⣿⢥⣾⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠒⠺⠷⣏⡀⣼⡿⢸⣿⣿⣿⣏⣥⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣯⠀⠀⠀⠀⣀⠀⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠻⣿⣿ ⠀⠀⠀⠀⠈⠙⠳⢿⣿⣿⡟⢉⣰⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⢿⣿⣿⣷⣤⠖⠛⠉⠉⠀⠀⢸⡏⠁⠀⠀⠀⠀⠀⠀⣿⣿ ⠀⠀⠀⠀⠤⢄⣀⠀⣨⡿⠟⢋⣿⡿⢯⣶⣝⣛⣛⣿⠿⢿⣿⢥⣠⠼⠻⣿⣟⣿⣿⣿⢿⣿⣿⡋⢤⡀⠀⠻⣌⣉⣻⣦⣀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⠀⠀⠀⠀⠀⠀⢀⣼⡟⠛⣛⣿⡿⠀⠉⢛⣻⣿⠿⠋⠀⢸⢹⠀⠀⠀⠀⠘⣾⣦⠉⠛⠷⢿⣿⣻⣦⡌⠢⡀⠘⣧⣙⡛⣿⣗⡚⠉⠉⠉⡇⠀⠀⢀⣀⣀⣠⣴⣿⣿ ⠀⠀⠀⢀⡤⡶⣿⠋⣽⠛⣿⡿⢁⣤⢶⡋⠉⠁⠀⠀⠀⢸⠾⠆⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠈⠙⠛⣿⣦⡙⣏⠁⠈⣯⣙⠛⢿⣆⠀⣼⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢠⡟⢸⣷⣿⠉⡇⢀⣯⣴⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠻⢿⣟⢧⡤⠶⠛⠋⠉⠻⣿⣽⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⣶⣿⣧⣿⢃⠏⠀⡇⣼⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⠤⣀⠀⠀⠀⢻⡝⢿⣾⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣟⢿⣯⣎⠤⠔⡇⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⢴⣿⣿⣆⢻⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣿⣿⡄⢿⠦⠀⢠⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢄⡉⢿⣻⡄⢻⣿⣿⣿⣿⣿⣿⣿ ⠀⢸⣿⣿⣾⣇⠀⠋⡏⠀⠀⠀⠀⣀⡤⠴⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣭⣻⣎⠀⠹⣵⡟⠙⠛⢿⣿⣿⣿⣿ ⣴⣿⣿⣿⣻⣿⣆⢰⠁⠀⠀⠀⠘⠁⣶⠿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠋⠀⠀⢻⣠⣴⠀⣼⡟⠛⠛⠛ ⣿⣟⠙⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠙⠻⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣾⣿⠁⠀⠀⠀ ⡏⠁⠀⠘⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠃⠀⠀⠀⠀ ⣄⠀⢀⡀⠈⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠃⠀⠀⠈⠻⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣷⣤⣀⠀⠀⠀ ⣿⣷⣌⢿⣷⣍⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀⠀⠈⠊⣙⠷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⡟⣎⣻⣼⣷⡆⠀ ⣿⣿⣿⣷⣽⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⠊⠉⠛⠷⢶⣤⣄⠀⠀⠀⢀⣠⣼⣿⣿⣿⣿⣷⣿⣿⡿⠿⠃⠀ ⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⡦⢶⣄⠀⠀⠀⠀⠀⠀⢀⣀⡤⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⢿⣿⣿⣿⠿⠟⠛⠉⠁⠀⠙⣄⠀⠀ ⣸⣷⣿⣿⣿⢿⣿⣿⣿⣿⣿⡄⠈⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀ ⠿⠿⢿⣿⣿⣾⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳ ⠀⠀⠀⠁⠚⠉⠛⠙⠛⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⢹⡟⣿⣿⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠉⢹⣏⠀⠉⠓⠤⣄⣀⡠⠖⠋⢳⣀⣀⣀⣀⣀⣀⣾⣐⣈⣦⣀⣀⡤⠤⠖⠒⠒⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⢸⠇⠸⣿⡄⡇⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠷⠶⠾⡊⠦⣄⣀⡤⠖⠉⠀⣀⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⢧⠟⠀⠀⠙⢧⡵⠀⢀⣀⠠⠤⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠢⣤⣤⡴⠛⠉⠙⡆⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠒⠚⠛⠛⠛⠛⠒⠒⠒⠒⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡨⠋⠀⢀⣴⡾⠃⢀⠇⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀⣜⠁⢀⣼⠛⠛⠤⣰⣫⠖⠀⡄⢸⡦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⡀⠀⠀⠀⠘⢄⢸⢑⡷⢿⡿⢶⣄⠀⢈⠳⡄⣴⡧⢸⡏⠉⠳⡖⠲⠤⠤⢤⣄⣀⣠⡤⠴⠚⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡠⠤⠖⣚⣿⠀⠀⢄⡀⠙⠲⣍⣠⠋⠐⣠⣾⣿⢧⣴⣣⠏⣰⡿⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠴⠒⠉⠁⠀⠀⠀⠀⠀⠈⢷⡀⠐⠭⣗⡀⡴⢁⢀⣼⣿⠂⠉⠢⣴⣁⡾⠋⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠑⠦⢄⣀⠀⠀⠀⠀⠀⢀⣠⡤⢒⠯⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠦⢄⡀⠙⠧⣴⡋⣠⠟⠒⣤⣠⢀⠝⣄⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠉⠉⠉⠉⠉⢉⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⣜⡽⠡⣤⣼⡯⣍⡉⢲⠊⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⡰⠟⠋⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀ ⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⣀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠛⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⢀⡇⡀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⣤⢞⡞⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡉⡏⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡍⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀

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

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⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠊⠉⠉⠀⠀⠉⠉⠑⠲⢶⣫⣵⣲⣿⡛⠉⠁⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⢸ ⣇⡤⠔⠒⠤⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⢤⣀⣠⠤⠒⠚⠉⠀⢀⣀⢼ ⡏⠀⠀⠀⠀⠀⠈⢳⣄⠀⠀⠀⠀⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣷⡀⠀⠀⠀⠀⠀⠙⢦⣀⠤⠴⠒⠉⢁⣀⣸ ⡿⢗⣲⣦⣤⡀⠀⠈⠻⣧⡀⠀⠀⠀⠀⣤⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠃⠀⡄⠀⠀⠀⠀⠀⠀⢣⡤⠤⠒⠋⣩⣤⣾ ⣇⢴⣿⢹⠻⣿⣿⣦⡀⠈⢷⣄⣦⣶⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⡇⡀⡆⢳⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⣾⠁⢸ ⣇⡆⣇⡸⠖⠋⠉⠉⠉⠉⠘⠛⠯⢭⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠀⡸⢡⡧⡇⠘⠄⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⢿⠀⢸ ⣿⢠⠋⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎⢀⡴⢡⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⣼⠀⢸ ⡿⡆⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠊⢁⠴⠋⠀⣾⡟⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⢿⠀⢸ ⡇⢀⠀⠀⠀⠀⡇⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠋⢀⡜⠁⠀⠀⠘⠛⠁⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠀⣾⣤⣼ ⣗⣾⠀⠀⠀⠀⡅⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠁⢀⡞⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⢸ ⡇⠸⠀⠀⠀⢸⡇⢀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠁⠀⣜⣀⣀⢀⡴⢒⡤⠖⠊⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢸ ⡇⡀⠀⢸⡄⢸⢷⣌⠀⠼⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⡼⠁⠀⠰⢋⡴⢯⠀⠀⠀⠸⡀⠀⠰⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⢸ ⡇⡇⠀⠀⠀⠸⢸⠀⢉⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⢠⣾⣁⡤⠒⠊⠁⢀⡀⠑⠦⡀⠀⢣⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⢸ ⡇⠇⠀⠀⠀⠀⢸⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⢀⡼⡏⠀⠈⠲⣄⠀⠀⠙⢆⠀⠈⠑⢬⡦⠀⠈⠂⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⢸ ⡇⠘⠀⠀⠀⠐⡞⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢾⣼⢷⣤⣤⣤⣬⣷⣤⡄⠀⠃⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢸

⠈⠀⠀⠀⠉⠉⠣⡀⠀⡰⠁⠐⡇⠀⠘⠀⠈⢂⠀⢀⡼⠋⠏⠁⠐⠛⠛⢅⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠑⠃⠤⢴⣀⠀⣀⡀⠤⠒⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀ ⠀⠀⠀⠀⠀⢀⠒⠠⠀⠀⠘⠀⠀⢠⠄⠀⠀⠀⠒⣒⠖⢦⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⡝⠀⠀⠑⣄⠠⠀⠀⠒⠀⠀⠤⣠⠞⠁⠀⠀⢣⢣⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣱⣧⡀⢀⠔⡁⠄⠶⠿⢿⣷⡄⠀⠈⠱⡄⠀⠀⣠⣧⢃⠀⠀⠀⠀⠀ ⠀⠀⠀⢨⣿⣿⣷⢦⡾⢊⣉⡐⡄⠈⠝⢉⣉⠂⣳⠘⣄⣾⣿⣿⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⣸⣿⡿⠟⣿⡇⢾⣾⣛⠠⢸⠰⡧⣯⡁⢸⣧⠙⠻⣿⣿⡹⡆⠀⠀⠀⠀ ⠀⠀⠀⢿⠉⠀⠀⣿⢷⣌⣉⡡⠃⠀⠢⣉⣉⣠⡇⣿⡄⠀⠇⠨⠟⢶⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⠣⡉⠁⠀⠀⠀⠀⠀⠉⠉⡸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣟⣦⢟⣶⣄⣀⡀⠀⢀⢤⡞⣷⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⣿⣿⡿⣡⣇⡠⣇⣀⡎⡜⠀⣿⠛⢣⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⡟⠉⠙⡄⢿⣧⣀⡏⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠄⠀⠀⢿⣦⣀⣠⡃⠈⣿⠿⠿⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢸⣿⠿⠿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠲⢤⣀⡀⠀⠀⠀⠀⠀⠀⢠⣾⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⢦⣄⡀⠀⢀⣾⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠾⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣄⠿⣦⣶⣦⣤⣄⡀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠶⠿⠿⣿⣿⣿⣒⣦⣴⠛⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⡇⣷⠈⠉⠀⠀⠙⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⡂⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠛⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣤⠶⠖⠛⠉⠉⠉⠉⠉⠉⢉⣉⡙⠒⠶⠤⣤⣀⠀⠈⢿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣤⡶⠞⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠴⠾⢿⣾⣤⣤⡤⣭⣛⠶⣾⣟⡿⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠠⠤⠤⠄⠚⠛⠛⠶⠶⠦⢤⣭⣟⣿⣿⣿⡿⣶⣭⣛⠇⣷⡍⢉⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠉⣙⡛⠿⣿⣿⣿⣷⣾⣁⣾⣿⣿⡟⠻⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠚⠹⣿⣿⣿⣿⣿⣿⡟⠸⠀⠾⢻⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠙⠿⢿⣿⣷⣆⣀⣰⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⡤⡒⠒⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣆⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠴⠶⠖⠚⠛⠛⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠛⠲⠦⢤⣀⣀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠶⢤⣈⠻⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠀⣨ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣾⡟⠷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⢀⣴⣿⠿⠂⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣌⠙⠶⣤⣀⠀⠀⠀⠀⢀⣠⣶⣟⣭⠴⠀⢀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⠀⠈⠙⠷⣤⣠⣴⡿⢟⣫⣭⣴⣾⣿⣥⠄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⠿⣿⣿⣿⣿⣿⡿⠿⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠻⣿⣿⣷⣶⣦⡤⠤⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⣿⣿⣿⣿⡷⠄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣶⠀⠀ ⠀⠂⠀⠀⠀⠂⠀⠀⠰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀⠀

⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀ ⢀⣾⡿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣷⡀ ⢸⣿⡁⠀⢠⣦⠀⠀⣤⣤⠀⠀⣴⡄⠀⢈⣿⡇ ⠈⢿⣷⣀⠈⠁⠀⣀⣿⣿⣀⠀⠈⠁⣀⣾⡿⠁ ⠀⠀⣿⣿⣿⣿⣿⠿⠋⠙⠿⣿⣿⣿⣿⣿⠁⠀ ⠀⠀⢻⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡟⠀⠀ ⠀⠀⠈⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠃⠀⠀ ⠀⠀⢀⣿⡇⠀⠀⠀⢀⡀⠀⠀⠀⢸⣿⡀⠀⠀ ⠀⠀⣼⣿⠁⠀⠀⠀⠻⠟⠀⠀⠀⠈⣿⣧⠀⠀ ⠀⣼⣿⠃⠀⠀⣀⡀⠀⠀⢀⣀⠀⠀⠘⣿⣧⠀ ⢠⣿⡇⠀⠀⠀⠻⣿⣦⣴⣿⠟⠀⠀⠀⢸⣿⡄ ⢸⣿⠁⠀⠀⠀⠀⠈⣿⣿⠁⠀⠀⠀⠀⠈⣿⡇ ⠸⣿⡇⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⢸⣿⠇ ⠀⢻⣿⡀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⢀⣿⡟⠀ ⠀⠈⢿⣿⣶⣶⣶⣶⣿⣿⣶⣶⣶⣶⣿⡿⠁⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠤⠤⣼⣿⠂⠀⠀⠠⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠉⠀⣰⣺⣿⠟⠛⢢⡀⠀⢣⣦⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⣾⠃⠀⠀⣽⣿⠃⠀⡞⢁⣿⢶⠋⠚⣿⣠⡀ ⠀⠀⠀⠀⢆⠀⢰⠀⠀⠀⢰⣿⣀⡀⣐⣿⡏⠀⣸⣷⣿⣿⢬⠀⠀⣸⠋⠀ ⠀⠀⠀⠑⠌⢧⢨⣇⡄⠀⣎⣈⡌⠛⢻⢿⣀⢀⡿⣿⣿⡏⣼⠀⢸⠁⠀⠀ ⠀⠀⠀⠱⡄⢢⡷⡆⠷⣾⣼⣯⣿⣧⣼⣏⠻⢾⣷⠀⢻⣷⢸⠀⠈⣆⠀⠀ ⠀⠀⠀⠀⠘⡏⢀⠔⠉⠉⢉⣻⡧⢌⣿⣎⠾⠜⠻⢴⣿⣿⣸⠀⠀⢹⠀⠀ ⠀⠀⠀⠀⠀⠘⡎⠀⠀⠀⠿⣽⠓⢄⠈⠀⠀⠀⠀⠀⠉⠻⣛⠒⢤⢸⡇⠀ ⠀⠀⠀⠀⠀⠀⡟⡆⠀⠀⠸⠘⠄⠘⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡀⣹⡇⠀ ⠀⠀⠀⠀⠀⢀⠀⡟⠆⠀⡐⠃⡄⠁⡆⠀⠀⠀⠀⠐⣶⠒⠒⠒⠋⠋⠀⠀ ⠀⠀⠀⠀⠀⠸⡀⠘⡀⠀⠃⠀⡇⠀⠁⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢷⠀⣡⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⢿⣄⠀⠀⠈⠆⠀⠀⠀⠀⠀⠀⠀⣠⠛⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠸⡀⠀⠀⠀⠈⣦⡖⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡠⢇⠀⠀⠀⠀⠇⠀⠀⢀⠔⠹⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣀⠀⢀⡾⠃⠙⡀⠀⠀⠀⠀⠀⣠⠃⠀⠀⠙⠲⣤⣠⣄⣀⠀⠀ ⠐⠉⠀⠀⠀⠀⡿⠀⠀⠀⠱⠀⠀⠀⠀⡐⠁⠀⠀⠀⠀⠑⠣⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡌⠁⠀⠀⠀⠀⠆⠀⠀⡰⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⣶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡷⢄⣄⠀⠀⠀⠀⠀⠀⠀⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠴⡆ ⠀⠀⠰⠀⠀⠑⢑⣄⠀⠀⠀⠀⠀⣨⣿⣇⢀⡀⠀⠀⢀⡀⠄⠂⠋⠀⠀⠀ ⠀⢀⠀⠀⠀⠀⠀⣈⡩⠤⠤⠤⠴⠿⠟⠛⠷⠶⢶⣒⠶⠤⣀⡀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⡿⠛⢻⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⠇⢀⣸⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡟⠉⠀⠀⠀⢻⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⠿⠣⡀⠀⠒⣶⣿⣿⣿⡏⢿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⠏⠀⠀⠀⢸⣶⣶⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⣀⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡟⠀⠀⠀⠀⠀⠛⢿⣿⣿⣿⣿⣿⠂⠀⠀⠀⢀⡞⠁⠀⠀⠙⣆⠀⣀⡴⠾⠛⠛⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⢀⠀⠀⠉⠛⠿⢿⣿⣧⡀⠀⠀⡾⠀⠀⠀⠀⠀⣸⡾⠋⠀⠀⠀⠀⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠰⣽⣿⣿⠀⣸⠇⠀⠀⠀⢀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠈⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠚⠉⣿⣿⣇⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⢠⣿⡟⠁⢠⡟⠀⠀⠀⢠⡾⠁⠀⠀⠀⠀⣼⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠻⠟⢿⠀⠀⠀⣼⠀⠀⠀⠀⠐⠒⣿⡏⠀⠀⣼⠃⠀⠀⣰⡟⠀⠀⠀⠀⠀⣸⣿⡄⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⣽⣧⠀⠀⣿⠀⠀⣼⠏⠀⠀⠀⠀⠀⢠⣿⢿⡿⡄⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢀⣴⣷⠀⠀⠀⠀⠀⠀⢿⣿⡄⢸⡇⠀⣼⠃⠀⠀⠀⠀⠀⠀⣾⡏⠀⢻⡹⣦⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⢸⡟⣿⡄⠀⠀⠀⠀⠀⠘⣿⣷⣾⣧⡞⠁⠀⠀⠀⠀⠀⠀⣸⠛⢧⠀⠀⢷⡘⢷⡄⠀⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⣾⠀⠘⣷⡀⠀⠀⠀⠀⠀⠈⠉⠙⠋⠀⠀⠀⠀⠀⠀⠀⣰⡏⠀⠈⢳⡄⠈⢳⡌⢻⡄⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⢀⡇⠀⠀⠈⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠀⠀⠀⣾⡅⠀⠀⠙⢿⣿⠀⠀⠘⢧⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⣸⠀⠀⠀⠀⢸⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⠀⠸⣿⣧⣀⣀⡀⠀⣿⠀⠀⠀⠀⠹⣦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢠⡏⠀⠀⣀⣀⣸⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⠀⠀⠀⠀⠘⢿⣏⠻⢿⣾⣿⣦⣄⠀⠀⠀⠘⢧⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⣼⠁⠀⠛⠛⠿⠿⠿⠿⠃⠻⣿⣶⣄⡀⠀⠀⢀⣠⣶⡿⠃⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠙⢿⣿⡟⠻⣷⣦⡀⠀⣿⣦⣄⡀⠀ ⢀⣠⡤⠴⠒⠒⠒⠒⢋⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⠿⣿⣿⡿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⢻⣿⡀⠀⠙⢿⣦⣽⣿⣿⡿⠆ ⠀⠀⠉⠉⠉⠒⠚⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠉⠉⠉⠁⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡻⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡈⢿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄ ⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⠸⣿⣿⡿⣿⣿⣿⣿⣿⣿⣷ ⣿⣿⣿⡇⡿⣿⣿⣿⣿⣿⣿⣿⢿⠀⢠⣿⡿⢟⣯⣤⣿⣿⣇⣛⢿⣿⣿⣿⣿⣿ ⣿⣿⣿⡧⢳⢻⣿⣿⣿⣿⡿⠛⡘⠀⠘⣩⣶⣿⢿⡛⠻⣿⠙⢿⣾⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣶⣿⣿⣏⡁⠀⢱⡀⠀⠀⠀⠯⠚⠓⠚⠉⠐⠛⠓⠉⢸⣿⣿⣿⣿⣿ ⣿⣿⣿⠟⢻⣟⣿⠯⠙⢄⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⢻⣿⣿⣿⣿ ⣟⠉⣿⠔⠊⠑⠁⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠔⡹⠃⣾⡏⣿⣿⣿ ⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⠀⢀⡿⠀⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⣿⣿⣿ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠤⠤⣀⡀⢀⡄⠀⠀⠉⠀⠀⢸⠟⣿⣿ ⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⣪⣴⣶⣾⣿⣶⠟⠋⠀⠀⠀⠀⠀⠀⢸⣴⣿⣿ ⣣⣧⠀⠀⠀⠀⠀⠀⠀⠐⠛⠛⢿⣿⠛⣲⡟⠊⠁⠀⠀⡠⢲⠆⠀⢠⣿⣿⣿⣿ ⣄⠩⠷⡄⠀⠀⠀⠀⠀⠀⠀⠀⢠⡋⢳⠁⢣⠀⠀⠀⡜⠀⢸⠀⣠⡿⠛⣻⣿⣿ ⣿⣿⣦⣼⣦⡀⠀⠀⠀⠀⠀⠀⠀⢣⡈⡆⠀⢣⠀⠀⡇⠀⢠⣼⡟⠁⣰⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠱⡼⡄⠀⢣⡀⡇⠀⢸⡏⠀⢰⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠶⣶⣤⣤⣄⣈⣷⡀⠀⠹⡇⠀⢸⠁⠀⢸⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣀⠀⠉⠉⠛⠛⠛⠳⡄⠀⡇⠀⢸⠀⢠⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠉⠑⠢⠤⣀⡀⢀⣸⡥⡇⠀⠀⡇⣸⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡿⣿⣿⡏⠀⡴⠒⢤⡀⠀⢀⡜⡛⢶⣹⠀⠀⠀⢱⡏⢹⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠸⡀⠀⠑⣤⣎⠘⠜⡸⡍⠀⠀⠀⠀⡇⠘⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠱⡤⢂⠿⢿⣿⡾⢣⠃⠀⠀⠀⠀⡇⠀⢹⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⡴⠊⠉⠉⢳⠀⠀⠉⠁⠒⢦⡖⠒⠉⠉⠁⠀⣹⠋⠉⠑⠦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠈⢦⡀⠀⠀⠀⠀ ⠀⠀⠀⢀⡼⠋⠀⠀⠀⠀⠀⠀⠀⣹⡦⠤⠔⣲⠚⠓⠒⣶⡶⠦⢾⣀⠀⠀⠀⠀⠀⠀⠱⡄⠀⠀⠀ ⠀⠀⢀⡞⣴⠛⣦⠀⠀⢀⡤⠖⠋⠁⠀⢰⣾⣿⣿⣶⢸⣿⣷⡀⠀⠈⠙⠲⣄⡀⠀⢸⠀⣷⠀⠀⠀ ⠀⠀⣾⣼⠋⣆⠸⣦⡴⠋⢀⠄⠀⠀⠀⠘⠛⠛⠛⠿⠀⢉⣉⣁⣆⡀⢠⠀⠀⠹⣄⡿⣸⣏⣇⠀⠀ ⠀⣠⠿⢯⡤⠞⠲⡟⢀⠀⢁⡤⢾⣭⣅⣉⠑⢦⠀⠀⢠⠞⣉⣤⣤⣈⠙⢄⠀⡀⠘⣧⣿⣿⣿⡀⠀ ⠀⢧⣀⣀⠇⠀⠀⢻⣿⡀⡎⢠⣿⣍⣇⣿⢷⡀⢣⠠⠃⡼⠯⣬⣿⡿⢧⠈⣦⣿⣦⠉⠩⣿⣀⣽⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⡄⢸⣄⠼⠿⠳⣴⠇⠸⠐⡄⢷⡶⠛⡟⢦⡼⠀⣿⣿⡟⠀⠀⠈⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡷⣄⠛⠶⠿⠶⠋⡠⠃⠀⠘⢄⡙⠒⠛⠛⣁⠼⣿⣿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣧⠸⠛⢲⣶⡒⠻⠀⠀⠀⠀⠀⠉⢱⡒⠋⣹⢾⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⡄⠐⠚⠋⠀⠀⢠⠞⠉⣳⡀⠀⠀⠉⠉⢡⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠽⠧⣤⡀⣀⣀⡀⠀⠀⠀⠀⠀⠀⢀⣀⣠⡾⢯⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢾⡥⠖⠛⠉⠓⢦⡀⠉⢉⠿⣏⠉⠉⢉⣽⠿⠷⣶⣤⡽⠓⠠⢄⡀⠀⠀⠀⠀ ⠀⣴⠖⠒⢶⡡⡀⠀⠈⣇⠀⠀⡀⠀⠀⠑⢶⡁⠀⢈⣷⣤⡞⠋⣀⠀⠀⢸⡇⠀⠀⢀⡾⠛⠳⣄⠀ ⠀⡼⠀⠀⠈⣳⡥⠔⠚⠛⢻⣾⠃⠀⠀⠀⠀⡽⠶⢿⡁⠀⠀⠀⠙⢷⣶⠚⠓⠒⠠⢾⡀⠀⠶⠛⢦ ⠘⣧⣀⣀⡴⠋⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠘⣅⣀⣠⡿⠀⠀⠀⢀⣸⣿⡇⠀⠀⠀⠀⠈⠓⠦⠴⠟ ⠀⠈⠉⠁⠀⠀⠀⣀⣀⡴⡟⠛⠓⠦⠀⠀⠀⠈⣿⠁⠀⠀⢀⣠⡾⠟⠋⢻⡦⣄⣀⣀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠖⠉⠁⠀⠀⠹⣌⠙⠲⡾⢷⡄⠀⣿⠀⠀⣠⢾⣿⣀⠔⠊⢩⡗⠀⠀⠀⠉⠳⡄⠀⠀ ⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠈⢇⠀⣹⣿⣷⡄⣿⡀⢀⣏⡀⣼⠃⠀⡴⠋⠀⠀⠀⠀⠠⣶⣿⠀⠀ ⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⡼⢀⣹⣿⠋⠉⠉⠉⠉⠉⠻⣿⣄⠀⢷⡀⠀⠀⠀⠀⠀⣿⠏⠀⠀ ⠀⠀⠀⠀⠀⠙⠦⠤⠀⠠⠤⠔⠓⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠒⠚⠓⠶⠦⠤⠴⠞⠁⠀⠀⠀

⠀⠀⠀⠀⠀⢀⣴⣖⠤⠤⣀⡀⠀⠀⠀⠀⣀⣀⣤⣤⣶⠶⠖⠒⠀⠐⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣾⣿⣿⣿⣧⠀⢀⣈⡑⠶⣶⣿⣿⠿⠛⠋⠂⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⣿⣿⣿⣿⣿⠟⣫⣽⣶⠦⣴⣤⡀⠉⠐⠮⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⣿⠟⠹⣿⡿⡣⣾⣿⣿⣿⠸⢿⠿⣧⡁⣢⣀⠈⢢⠂⠀⢀⣠⣤⣶⣶⣄⡠⠈⢆⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⡏⠀⠀⢹⣿⠚⢉⣉⣿⡁⠀⢠⠟⢡⢴⣦⣝⢷⡀⢳⣾⣿⣿⣿⣿⣿⣿⣿⣆⠈⡆⠀⠀⠀⠀⠀⠀ ⠀⣿⠀⠀⠀⣼⠃⢠⣾⣼⡿⡇⠀⢸⠀⣟⣺⣷⣿⣮⣿⠈⣿⣿⠟⠋⠛⠿⣿⣿⣿⣷⡸⡀⠀⠀⠀⠀⠀ ⠀⡏⠀⢠⢎⣿⣆⠀⠻⢾⣿⠃⠀⠘⢦⡙⠻⠗⢋⣾⣿⣧⠋⠁⠀⠀⠀⠀⠈⠙⢿⣿⣷⣇⠀⠀⠀⠀⠀ ⠀⡇⡰⠃⣼⣿⠹⡓⠒⡎⠁⠀⠀⠀⠀⡟⠛⠟⢫⢹⣿⣟⠉⠛⠳⣶⡤⣄⠀⠀⠀⠈⢻⣿⠠⠀⠀⠀⠀ ⡎⠙⢹⢀⣿⣿⠀⠘⣍⠁⠀⣀⣀⣀⣀⡈⠁⠈⡡⣾⣿⣷⣦⣤⡴⢉⠈⢆⡉⢦⡀⠀⠠⡀⣠⠀⠀⠀⠀ ⠈⠉⠁⢸⣿⡏⠀⢰⡿⠋⠒⢠⠌⠯⢡⡄⠒⠉⢀⣿⣿⣿⣿⣿⣧⠘⢀⢄⣤⡈⠘⢷⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡿⠋⠀⠀⠸⡟⠀⣠⣾⣦⣀⡼⠿⢦⣴⣿⣿⣿⣭⣉⣉⠶⠛⠉⠁⠀⠀⣧⢠⢾⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⡾⣉⡟⡿⠿⠟⠻⡀⠀⢀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠄⠗⠓⠂⢄⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⡮⠊⣰⠃⠀⠀⠀⠀⠀⣈⣯⠝⢿⣿⣿⣿⣿⡿⡇⠀⠀⣠⣾⣿⣾⣾⣿⣿⣦⣼⠀⠀⠀⠀ ⠀⠀⠀⠋⡔⢀⡞⠀⠀⠀⠀⢀⣴⣾⠁⣇⠀⣠⣿⡿⠟⠛⠓⢣⠀⢼⣿⡟⠉⢹⣿⣿⣿⣿⣿⣤⣀⣀⠀ ⠀⠀⣎⠘⠄⠞⡄⠀⠀⠀⠀⣾⣿⣿⣆⡆⣿⢟⡥⠖⣿⣿⣿⡞⡆⠀⠀⠀⠀⣼⣿⣿⣿⣿⠛⠛⣿⣿⡄ ⢀⠾⣾⣿⠉⠉⢣⡀⠀⠀⢠⢿⣿⠋⠈⠻⣿⣇⠀⠀⣿⣿⣿⠇⡇⠀⢠⣶⣿⣿⡟⠀⢹⣿⣷⠀⠙⠿⠟ ⠸⡗⢈⠉⢠⢄⠈⡇⠀⠀⢈⡶⢨⣖⡖⠛⠉⠻⣦⠔⠛⠛⢫⠴⠃⠀⠘⠛⠋⠁⠀⢠⣾⣿⠟⠀⠀⠀⠀ ⠀⣵⠅⢰⣷⡜⠴⠇⠀⢠⡾⣱⠃⠀⠀⠀⠀⠀⠘⡿⠀⠰⡾⠁⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠀⠀⠀⠀⠀ ⠀⠈⢆⢈⡇⠀⠀⠀⢠⠏⣱⠃⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠛⠁⠀⡔⢴⠃⣰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⡀⢸⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡈⠀⠀⠙⢌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⠚⡗⠠⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣮⠄⣀⠀⠠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠮⡀⠁⠀⠀⠐⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠔⠙⠀⠀⠀⢉⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣿⣷⣶⣦⣵⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⠛⠒⠒⠒⠂⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠿⢿⣿⣿⡿⠿⠓⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠀⠀⣇⢹⣿⣿⣿⣿⣿⣿⣿⡷⢿⣟⠻⣿⢻⢹⡈⣿⣆⢧⠙⣆⢳⡀⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⢸⠀⢠⢸⣿⣿⣿⠿⣿⠿⠛⠁⠀⠀⠙⣆⠈⢧⢧⣇⣿⣿⣆⣇⠘⡌⣇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⢸⡄⡞⢸⣿⣿⠃⠀⣿⠀⠀⢠⠄⠀⣀⣈⣇⣈⣆⠸⣼⣿⣿⣿⣆⠀⢻⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢰⢿⡇⠁⣼⣿⢻⠀⢀⣿⠀⠀⠈⠉⠉⢉⣿⠷⠿⣿⣭⣿⣿⣿⢿⣿⣧⠈⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢏⣾⠃⣼⣿⣧⣼⣿⣭⡼⢢⠀⠢⡄⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣸⡏⠹⣷⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⡽⣧⣿⡟⣼⣿⣿⡿⠋⠉⢀⡅⠛⠃⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⡇⠀⠈⢳⣜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢏⣼⠏⠀⣿⣿⣿⠈⠠⠞⠉⠀⠀⣰⣺⣭⣬⣧⡀⠀⠀⠀⠀⠀⠀⣰⣿⢿⣧⠀⠀⠀⠙⠋⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋ ⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢡⣾⢃⠀⠀⠹⣿⣇⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⡄⠀⠀⠀⢀⣴⠟⢡⣿⣷⠀⠀⠀⠀⠀⣀⣀⣀⣉⣛⣿⣿⣿⢿⡿⠋⠀⠀ ⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣤⣿⠇⠈⠀⠀⢰⡿⢿⡄⠀⠀⠀⠀⠀⢹⣿⣿⢿⣟⣿⡟⠀⠀⠉⠁⢀⣴⡿⢛⣿⣠⡤⠶⠚⠋⠉⠉⠀⠀⢬⣤⢤⣤⠞⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠹⣄⣉⠉⠀⠘⠛⠛⠉⢁⡽⠛⠛⠛⠛⠻⠾⢧⣾⣿⡄⠀⠀⠀⠀⠀⠻⡄⠀⢀⣽⢁⣀⣀⠀⠋⠉⠀⣠⠿⠋⠁⠀⠀⠀⠀⠄⢒⣀⡴⠶⣻⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠑⢤⡀⣒⣦⠖⠚⠉⠀⠠⣄⣀⡀⠀⠀⠀⠈⠙⢿⣶⣶⠦⢤⣤⠴⠛⠛⠋⠵⠶⠦⠤⢖⣀⡴⠋⠁⠀⠀⠐⠀⠀⠀⠀⠀⠈⠳⣤⠞⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢄⡀⠀⢀⣀⢤⠀⢀⣨⠥⠖⠚⠉⠓⠺⠤⣤⣀⡐⠊⠉⠀⠐⠂⠀⠀⠀⣐⠒⣢⡌⠉⠙⠒⠢⠤⣄⡀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣍⣠⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠲⣾⠁⠀⠀⣉⣡⠤⣤⣦⣧⠀⠀⠀⠀⠀⠀⠈⠙⢲⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣶⡀⣤⢖⣂⣤⠤⠀⠉⣡⣶⣟⣉⡬⠏⠀⠀⠀⠀⠀⠀⣀⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣾⢤⡀⠀⠀⠀⠀⠀⠀⠉⠉⢹⠟⢳⣿⡄⠀⣚⣫⣭⣭⡦⠖⠂⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠹⣆⠀⠀⠀⠀⠀⠴⣿⣉⣉⣾⢻⣳⠀⠾⠛⠉⠁⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠘⡇⠀⠀⠀⠀⠀⠀⠉⢉⡿⢸⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⣷⠀⠀⠀⠀⠀⠀⠀⣾⡇⣸⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠈⠀⠀⠀⠀⠀⠀⢠⢿⣵⣿⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⠲⠦⢄⣀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⣼⣾⣿⣿⡆⢸⡀⠀⠀⠀⠀⠀⠀⠀⡆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⡌⢷⡀⠀⠀⠀⠀⠀⠀⡿⣿⣿⣿⠇⣾⠀⠀⠀⠀⠀⠀⠀⣸⣽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⠛⠀⠀⠀⠀⠀⠀⡇⡇⣿⣿⠀⡿⡄⠀⠀⠀⠀⠀⢰⢣⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⣄⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⢠⡇⣧⢹⡿⢰⣇⡇⠀⠀⠀⠀⡰⢋⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢄⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠘⣦⢻⠀⡇⣼⢻⡀⠀⠀⠀⠘⢁⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠀⠀⠀⠀⠈⢳⣄⠀⠀⠀⠹⡎⣧⣿⠏⣾⠁⠀⠀⠀⣠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠔⡆⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⠀⠀⠈⠀⠀⠁⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣼⡆⡄⢀⠃⠀⢸⠀⡀⡇⠂⠤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠊⠁⠀⣼⠡⠇⢻⠀⢠⠸⡄⡇⢹⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠀⢀⢢⡇⢦⠀⣸⡀⢰⠀⣷⣷⠈⣇⠀⠀⢸⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣆⣼⡿⠤⣼⣠⣏⣇⣼⣶⣹⣾⠧⠼⢦⣀⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⠞⠁⠀⠀⠀⠀⠙⠹⢿⠋⠁⠀⠀⠀⠀⠉⠣⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠎⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡀⠀⠀⠀⠀⠀⠀⠀⠈⢢⢄⠀⠀⠀ ⠀⠀⢀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⢸⠈⢢⠀⠀ ⠀⢠⠃⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠉⣁⠀⠀⠀⠀⠀⠀⠀⠀⢸⠄⠀⢡⠀ ⠀⣼⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⣼⠐⣦⢹⣆⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⡄ ⠀⣿⠀⠀⢷⠀⠀⠀⠀⠀⢀⡀⢀⡏⠀⣿⠀⡏⠑⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠃ ⠀⢹⡆⠀⠸⡄⠀⠀⠀⠀⠀⠀⠙⣷⠀⣗⢠⡿⠛⠁⠀⠀⠀⠀⢈⡇⠀⠀⢀⠀ ⠀⠀⢿⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠙⣷⣿⡿⠁⠀⠀⠀⠀⠀⠀⢸⡇⠀⢀⡎⠀ ⠀⠀⠘⣇⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⣿⣽⡇⠀⠀⠀⠀⠀⠀⢰⡿⠀⢀⡞⠀⠀ ⠀⠀⠀⠹⡇⠀⠸⣆⡀⠀⠀⠀⠀⠀⣿⣿⡆⠀⠀⠀⠀⠀⢰⣿⠃⠀⣼⠃⠀⠀ ⠀⠀⠀⠀⢿⣦⠀⠹⣆⠀⠀⠀⣀⣤⣿⣿⣷⣄⠀⠀⣀⣴⣿⡧⣀⣼⡏⠀⠀⠀ ⠀⠀⠀⠀⠸⣿⣷⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⡿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⢁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⢻⣿⣿⣿⠏⣿⣿⣿⡟⠻⣿⣻⣿⡇⢰⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣷⣼⣿⣿⣿⠀⣿⣿⣿⡇⠀⢹⣿⣿⣠⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⠀⢿⣿⣿⣇⣀⢸⣿⣿⣯⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢻⣿⠇⣿⣿⣿⣿⣿⣿⡇⠀⠸⣿⣿⣿⣯⢸⣿⡷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡾⡏⠀⣿⣿⣿⣿⣿⣿⠁⠀⠀⢻⣿⠿⠃⠐⢻⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠀⠁⠀⢸⡏⠁⠀⠹⣿⠀⠀⠀⠘⡇⠀⠀⠀⢨⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠻⠀⠀⠀⠀⢷⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀ ⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠚⠓⠒⠒⣒⣒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢢⣀⡀⠀⠀⢠⣾⣙⣷⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⡶⣶⣤⢿⣿⣿⣿⡿⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣿⣿⡿⣰⡾⢭⡝⣿⣾⣿⣻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⠿⣿⣟⡓⠋⠀⠹⣿⡿⣿⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⣇⣀⠠⠞⠛⠛⠛⠓⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⠁⠀⢀⠀⠀⠀⣀⠀⡘⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢧⠀⢢⣸⡵⣁⠽⠐⠒⠚⠓⠳⡤⠀⠀⠠⠄⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣧⢀⡨⠋⠁⠀⠀⠀⠀⠀⠀⠘⢆⠀⠀⠀⠀⠉⠢⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⢡⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡧⡀⠀⠀⠀⠀⠘⠄⠀ ⠀⠀⠀⠀⠀⠀⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠈⡄ ⠀⠀⠀⠀⠀⣰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⡅ ⠀⠀⠀⠀⠀⠸⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⢹⡀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠡⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢹⠍⠉⠒⠀⠀⠀⠀⠀⠰⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⢄⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⢀⠐⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢢⠀⠀⢀⣀⢀⣌⡀⠀⠀⠀⣀⠠⠒⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠊⠀⠀⠈⠸⣽⡏⠁⠀⠙⠧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠄⠒⠠⠀⢠⠛⡔⡤⠐⠀⠙⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⡘⠁⠀⠈⠣⡀⠀⠀⢰⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⡐⠁⠀⠀⠀⠀⠐⠄⠀⠘⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣁⣄⠜⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀⢡⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣄⢽⠀⠀⠀⠀⠀⠀⠀⠀⢀⣎⠜⣣⣼⠄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠇⠠⢾⠀⠀⠀⠀⠀⠀⠀⠴⡭⢤⡞⢻⠿⠀⠀⠀⠀

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brush I'm in China stoptelling me to use a porn site it doesn't work :(

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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣻⣿⠏⠀⠀⢠⡾⠋⡰⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠁⠀⣿⡟⠀⠀⣰⣿⠁⠀⡃⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠁⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⢋⡟⢿⣿⡟⠂⠀⢰⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣯⣿⣿⢿⠛⠉⠻⢯⠙⠓⠢⣄⣀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡿⠋⠀⠀⠀⣠⣿⣿⣿⠀⢀⡅⠀⠀⠀⠀⠀ ⣿⣿⡟⠁⣎⠀⠀⠀⠈⡇⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⣠⠤⡴⠚⠉⠉⠙⢿⣆⣹⡇⠀⠀⠀⠀⠀ ⣿⡟⠀⢠⠻⡆⣇⠀⠀⢸⠀⠀⠀⠀⢹⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⢟⣿⡿⢁⣤⣞⣉⣿⠃⠀⠀⠀⠀⠀⢹⠟⠀⠀⠀⠀⠀⠀ ⣿⠀⢰⡟⠀⢡⢹⡄⢀⣾⠀⠀⠀⠀⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢩⢿⣯⡿⠛⠁⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀ ⣿⣦⡜⠙⠟⣿⡴⣡⡾⡿⣄⠐⡄⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⣾⣼⠋⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡉⠀⠀⠐⣿⡴⢿⡗⢣⠈⠢⣙⠒⢀⣙⣛⡿⢿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⢸⢹⠇⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⣷⡤⠀⠈⠁⡇⢨⢱⣤⡤⠤⠒⠉⠁⠈⠻⡍⠛⠂⣿⠋⠉⠔⡏⠀⠀⠀⠀⠘⣼⠒⠛⠓⠒⠦⢤⣀⠔⠊⡿⣿⢀⡀⠀⠀⠀⠀⠀⠀ ⣶⣿⣷⣶⣶⣿⡇⢸⠏⠀⠀⠀⢤⣀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠰⠋⠉⠉⠉⠓⠲⢼⣿⣷⣾⠀⠛⠎⠉⠀⢠⠂⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣸⡀⠀⠀⠀⠀⢠⣿⣷⣦⣀⣡⡀⠀⠀⠀⠀⣸⡦⢀⠀⠀⡗⠒⠒⠒⠤⢄⣀⠀⠈⢻⣿⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⢠⣿⣿⣯⠟⠈⠑⢄⡉⠀⠺⠉⠉⢣⠀⠀⡸⠉⠉⠙⠒⠢⢮⣉⠿⣶⣞⠉⠀⠀⠀⠀⠀⠀⡠⠂⠀⠠ ⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠋⣳⢸⣿⣿⠃⠀⠀⠀⠀⠈⠢⣄⠀⠀⠀⢳⣾⡷⠒⠒⢤⣤⣄⡊⠙⣹⣿⣇⠀⠀⠀⠀⠀⣠⣾⡷⠋⠀⠀ ⣿⣿⣿⣿⣿⣿⠏⡏⠀⠀⠀⠛⠓⠀⠉⠓⠢⡄⠀⠀⠀⠀⠈⠣⣤⡠⠤⣿⠗⠋⠉⣹⣾⠋⠉⡜⢻⠏⠀⣸⠿⡷⠒⢻⣿⣥⠀⠀⣀⣾ ⣿⣿⣿⣿⣿⣿⣄⣷⡀⠀⢀⣀⠀⠀⠀⠀⠀⠈⠓⠤⢄⣀⠀⠀⡟⠀⠀⠸⡀⠀⡴⢹⠇⠀⢸⠀⡎⠀⠀⡇⢸⠁⠀⣏⢸⡇⠀⢸⣿⠁ ⡩⠀⠀⠀⠀⠐⠀⠀⠀⠈⠙⢧⡈⠉⠉⠉⠛⠓⠀⠒⠒⠒⠒⠉⠉⠀⠀⢀⡱⠼⣥⣼⣄⣀⢸⣄⣣⣀⡀⣇⣸⣀⡀⣿⣸⣇⣀⣸⣀⣀ ⠷⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠒⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠉⠛⠛⣤⣤⣈⣈⣉⠉⠁⠀⠀⠀⠉

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⢂⠀⢉⣐⣦⡖⠲⢦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⢋⢤⠖⠈⠉⠑⡈⠑⢄⠙⢦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⠁⣰⠅⠄⠀⠀⠘⠀⠸⠀⡈⡄⠈⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⡇⢀⡍⣸⠀⠀⣀⡆⠠⠀⡀⢠⣸⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⡇⢸⣷⣽⡄⣠⣟⡇⡄⠁⡇⢸⣿⣾⠇⠀⠀⠀⠀ ⠀⠀⢀⡤⠐⠁⢀⣿⣧⢇⠻⠃⠛⠿⣽⣽⣴⠀⣸⣟⢏⠃⠀⠀⠀⠀ ⠀⣠⣿⡀⣤⠊⢀⡵⣿⣏⠁⠀⠀⠀⢨⠅⣁⡴⠻⣸⡾⠀⠀⠀⠀⠀ ⢠⠃⢿⣿⣿⡴⢉⢀⣿⣿⣷⣄⡀⠤⠐⠁⠑⣔⠒⠁⠀⠀⠀⠀⠀⠀ ⢸⢀⠔⢉⣿⣌⣻⡿⣿⣿⡏⠀⢡⣤⠀⠀⠀⣸⣷⣤⡀⠀⠀⠀⠀⠀ ⠘⠓⠒⠛⠉⠉⢁⠴⠿⣿⠀⠀⠀⠀⠀⣠⣾⣿⠃⠀⢹⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠏⠀⠀⢿⣦⡴⠶⠛⠛⢿⣿⣿⠶⣲⢿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣆⠀⠀⢸⠏⠀⠀⠀⠀⠈⣿⠇⠚⢁⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠳⢾⣿⣇⠀⠀⠀⠀⣰⣧⠖⢁⣎⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣙⣿⣿⣾⣿⡿⠋⢀⣴⣿⡟⢌⠳⣦⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣵⣿⡟⠀⠀⣠⡟⡵⢹⢸⠀⢸⣽⣦⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣷⣶⣿⠟⠉⢀⣿⣾⣤⣾⣿⣿⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣯⣍⣁⣤⣔⣫⣾⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣼⣿⡏⠉⠉⣹⣿⣿⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣏⢻⣿⣿⣿⣿⣿⡧⢀⣾⣿⣿⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀

⠀⠀⠀⠀⠀⢀⡀⠠⠤⠀⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⠊⠁⠀⠀⠀⠀⠀⠁⠢⠀⠀⠀⠀⠀ ⠀⢠⢪⠀⠀⡠⣂⠄⠒⣄⠀⠀⠀⢡⠀⠀⠀⠀ ⠀⡏⡄⢀⣼⠊⢀⣤⠄⡿⣆⠀⣦⣸⠀⠀⠀⠀ ⠀⠃⢡⣿⢭⡁⠀⠰⢖⣿⡞⡀⡟⡼⡄⠀⠀⠀ ⠀⠸⡈⢏⠹⠧⡀⠀⠘⠛⠀⢰⠿⡀⢣⠀⠀⠀ ⠀⠀⠡⠈⡆⡀⠣⠤⠀⠀⡀⢸⢰⢃⠈⣇⠀⠀ ⠀⠀⠀⢑⢧⡟⡆⢤⠔⠈⠀⣼⡸⡈⡀⡜⡆⠀ ⠀⠀⠀⠎⣌⠠⠗⠘⠀⠀⠀⡇⠑⠄⣷⡧⠃⠀ ⠀⡐⠈⠉⠁⠀⠒⠂⠀⠀⠒⢳⡒⠀⠈⠁⠢⡀ ⠀⡇⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠓⡀⠀⠀⠀⣹ ⠀⡣⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⢀⠃ ⡈⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠸⠀⠀⡌⠀ ⡏⠃⠄⠀⠀⠀⠀⡇⠀⠀⠀⠀⠒⢀⠀⢸⠀⠀ ⠈⠢⣀⣀⡀⠔⠀⠐⢄⠀⠀⠀⣀⠌⠀⡆⠀⠀ ⠀⠀⢰⠀⠀⠀⠀⠠⡀⠀⠉⠁⡈⠀⢰⠀⠀⠀ ⠀⠀⢸⡆⠀⠠⠀⠀⠈⠠⠀⠀⠃⠀⡆⠀⠀⠀ ⠀⠀⠀⣇⠀⢠⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⠀⢸⠀⠀⠀⠀⠀⠸⠀⢰⠀⠀⠀⠀ ⠀⠀⢀⠃⠀⢸⡄⠀⠀⠀⠀⠀⠑⡃⠀⠀⠀⠀ ⠀⠀⡌⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠂⠀⠤⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⢂⣤⣴⠖⠉⠉⠲⣶⣤⠀⠀⢀⠐⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣢⡤⢇⣾⣏⣿⠀⢠⠀⠄⣿⣿⣿⡄⠘⠃⠀⠆⠀⠀ ⠀⠀⠀⠀⠀⠀⠐⢡⣀⠉⠀⠚⣿⣿⣿⣴⣿⢸⣿⣿⣿⡿⠀⠖⠀⡔⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠏⠀⠀⣨⠃⣿⣿⣿⣿⣾⣹⣿⣿⠃⣄⣴⡞⠑⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣈⣬⣤⣴⣶⣾⣿⣿⣯⣽⣿⣿⣷⣧⡎⠈⣿⠐⠐⠇⢴⠖ ⠀⠀⠀⠀⢀⠴⠋⠁⠀⠀⠀⠈⢙⠉⡹⠋⠉⠀⠀⠉⠙⠻⣦⡃⠒⣲⢀⠿⠄ ⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⡀⢠⠁⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⣾⠀⠀⠀ ⠀⠠⠂⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⠀⠀⠀ ⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢦⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣶⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀ ⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠁⠀⠀ ⠀⠈⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣮⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀ ⠀⠀⠈⣷⣦⣀⣀⣀⠀⣀⣠⣾⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀ ⠀⠀⠀⠘⢿⣿⣿⣿⡽⢿⣿⣿⡟⠹⣿⣷⣦⣤⣤⣤⣤⣶⣿⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣽⣿⣿⢿⡟⣿⡟⠡⣄⣽⣉⣻⣿⣟⣟⢟⡿⡭⣤⠀⠀⠀⠀⠀

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

seek jesus ☦︎ ⠀⠀⠀⠀⠀⠀⠀⡏⠉⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠉⠉⠀⠀⠉⠉⢹⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠒⠒⡆⠀⡖⠒⠃⠀⠀⠀⠀ ⠀⡿⡀⠀⠀⠀⠀⡇⠀⡇⠀⠀⠀⠀⡜⡇ ⠀⡇⡇⠀⠀⠀⠀⡇⠀⡇⠀⠀⠀⢀⠇⡇ ⠀⢧⠘⢴⠲⣄⠈⠉⠉⠀⢀⡴⢲⠞⢰⠀ ⠀⠈⠳⡄⠳⠌⠳⡀⠀⡴⠋⠴⢁⡴⠁⠀ ⠀⠀⠀⢸⠀⠀⠀⡱⢸⠁⠀⠀⢸⠀⠀⠀ ⠀⠀⠀⡞⠀⠀⠀⡇⠀⡇⠀⠀⠸⠀⠀⠀

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣿⣶⣶⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠘⢿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠈⠻⣿⣿⣿⣿⣆⠀⠀⠀⢀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣀⣤⣶⣶⣌⠻⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⠁⣰⣿⣿⣿⣿⣿⣦⣙⢿⣿⣿⣿⠄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣦⣹⣟⣫⣼⣿⣿⣶⣿⣿⣿⣿⣿⣿⣯⡉⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⢻⣿⣿⣿⣿⣿⡇⠀⠀⠈⠉⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣴⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⡇⠀⠸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⢿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣶⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣧⣄⣐⣀⣀⣀⣀⣀⡀ ⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠁⠛⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡫⠡⠀⡨⠭⡙⠦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⡡⠒⡠⠥⠆⡐⢌⢢⠘⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⡿⢃⠞⣠⠊⠐⠀⡀⡸⡄⠲⣄⢹⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣻⢁⠎⣠⣿⣰⡷⣾⠱⣴⣹⡄⠈⡆⢧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡇⣼⢠⣿⣿⣿⠿⢃⠀⠈⣿⠟⢹⣿⣾⢂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⡧⣿⣿⠁⠉⠁⠀⠉⠿⢒⠏⣙⣾⣿⡧⠊⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠙⣿⣿⣦⡀⠀⠀⠀⠀⢁⡴⣿⣿⣁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣌⡦⢤⡴⢊⠗⢁⣻⣿⣤⣀⠀⠀⠀⠀⠀ ⠀⢀⠐⣈⣾⣿⣿⣿⣿⣿⣿⣬⣹⣄⣿⣿⣿⣿⣿⣿⣿⣿⣦⡄⠀⠀ ⢰⣾⣶⣿⣿⣿⣿⣿⣿⣯⣭⣍⢛⠛⣛⠻⣿⣿⣿⣏⠹⢟⠻⣿⠀⠀ ⣸⣿⣿⣿⣿⣿⡫⠿⢟⡿⠿⣿⣿⣾⣿⣿⣥⣾⣿⣯⣠⠊⣸⣿⡇⠀ ⠹⣿⣿⣿⣿⡏⠀⠀⠀⠀⠑⠶⠤⠄⠈⠉⠩⢝⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠘⣿⣿⣿⣄⠀⠀⠀⠀⡄⠐⡀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣿⣿⡀ ⠀⠀⠈⠛⠛⠛⠑⠒⠒⠉⠀⠀⠱⣄⡀⠀⣀⠴⢙⢿⣿⣿⣿⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⡆⠀⠹⣿⣿⣿⠟⠀ ⠀⠀⠀⠀⢀⣴⡷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣧⠀⠀⠈⠉⠁⠀⠀ ⠀⠀⠀⢀⣾⢱⠡⠂⠁⠂⠠⠤⠤⠤⠤⠐⡚⢳⠑⣧⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⡇⡌⠀⢀⠀⠉⠑⠐⠂⠰⠂⠉⠰⠀⡆⠸⡷⡀⠀⠀⠀⠀ ⠀⠀⢸⢣⢃⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⣴⠀⡆⠸⡀⢱⡰⡀⠀⠀⠀ ⠀⢀⡏⣸⠸⠀⣈⠀⡄⠀⠄⠀⠀⢰⠀⠘⡄⢰⠀⢡⠀⢧⢱⠀⠀⠀ ⠀⢸⣤⡟⡄⠀⣿⠀⡄⠀⠀⠀⠀⠈⠀⠀⡇⠀⡇⠈⣆⣸⡟⠃⠀⠀ ⠀⠀⠀⢿⣗⣦⣇⠀⠀⠀⡀⠀⠀⠀⡇⠀⢷⠀⣽⣶⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠸⣯⠙⠿⣵⣷⣦⣇⢀⣆⠄⣷⣄⣾⠿⠋⠀⣼⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⡄⠀⠀⠀⢈⣻⣿⣙⣻⣉⡉⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀

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

I know yall are tired of NSFW on non-NSFW tags, but I've been here all of about 3 minutes, both of yall are YAPPING so hard right now. NSFW people, just keep to 18+ tags, anti-NSFW people, just don't look at NSFW. There, I fixed your problems 💀💀💀

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

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠤⠤⠤⠤⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠀⠀⠀⢀⠠⠋⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡠⡢⠒⠀⢀⠇⠒⠒⢄⡀⠀⠠⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣌⠄⠠⠈⠑⠚⠚⠣⠀⠀⣯⢳⣦⡀⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⢻⠀⡇⠀⠀⠀⠀⣠⣶⣇⢿⣾⡇⢣⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣟⠸⡆⢻⣶⣤⣄⠈⠯⠿⡟⠀⠙⢩⡿⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⡀⢡⠀⢋⠁⠀⠀⠀⠠⠀⠀⠀⢸⡇⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠒⢇⡌⠢⣈⣶⠅⢤⠀⠀⡠⢁⢧⠀⣳⠤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣹⡁⢀⢨⠾⣉⢁⣠⢾⢞⠁⢀⠹⠁⢀⠬⡦⠤⠀⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠊⠀⠀⠀⠀⠀⠉⠐⠇⠐⠈⣲⠁⠀⠀⡯⠭⠤⠄⠀⠝⠣⠀⠀ ⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢀⣀⣤⠴⠞⠋⠢⠤⠶⠙⢖⡤⠀⣀⡀⠀⢑⡄ ⠀⠀⠀⢠⢤⠾⠁⠘⡚⣶⣦⣞⠋⠉⠀⠀⠀⠀⠀⠀⠀⣀⡌⢀⠒⠄⣀⠀⠀⡋ ⠀⠀⢀⠁⠐⣂⣀⡐⠖⠁⠀⢀⠀⠀⠀⢈⠁⢲⣁⣀⡀⠀⠀⠀⢡⠀⠀⠁⠀⠙ ⠀⠀⢸⡠⠒⠉⠀⠀⠀⠀⠀⠀⢂⢀⠜⠁⠀⠈⠒⢠⠄⠀⣀⠀⠈⢣⠀⠀⠀⠀ ⠀⢠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠁⠀⠀⠀⠀⠀⠀⠉⠒⠀⡀⠀⠀⠁⠀⠀⠀ ⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣄⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠂⠀⠑⠄⠀⢸⠁⠀⠀⠀⠀ ⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢇⠀⠀⠀⠀⠀⠠⡀⠀⠀⠄⠀⡸⠀⠀⠀⠀⠀ ⠀⠈⢦⡀⠀⠀⠀⠀⠀⢀⠔⠁⠈⠄⠀⠀⠀⠀⠀⠈⠀⠀⠀⡠⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠀⠐⠒⠐⡎⠀⠀⠀⠀⠀⠑⠤⣀⡀⠀⣀⣀⠤⡞⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠈⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠉⢠⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡀⢃⢸⠀⠀⠀ ⠀⠀⠀⣀⣤⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠀⣼⣿⠿⠧ ⠀⢠⣾⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣿⠏⠀⢀ ⠹⣿⣿⣿⡏⢀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⢆⠀⠀⣸⠃⢀⡔⠁ ⠀⠘⢿⣿⣧⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡿⠏⠀⢀⣿⡶⡡⢀⠀ ⢠⠐⡀⢻⣿⣦⡀⠀⠀⠀⣀⠀⠀⠀⠀⠰⡄⠀⠀⠀⠀⠀⠀⢀⢼⣿⠡⠁⡎⠀ ⡀⠇⢱⡀⣿⣿⣿⣦⣤⣀⡤⠞⠀⠀⠀⠀⠙⢦⣀⣀⠀⣀⡤⠋⣾⣿⣅⢼⠁⠨ ⡇⠘⢠⢇⢹⣿⣿⣿⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠉⠁⠀⢸⣿⣿⣷⡘⠀⠀ ⢃⢀⠌⠀⠼⢻⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢿⣿⣿⣿⠛⠚⠀

⠀⠤⠤⢠⠒⡒⠉⠉⡇⠀⡄⠀⠀⢰⡄⠀⠀⡱⣃⠠⡀⠀⠱⡀⢣⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠀⠃⠀⢠⣷⠀⡇⡀⠀⠘⣿⠀⠀⠸⣿⠀⡷⠀⠘⣧⠀⢃⠀⠀⢠⠀ ⠀⠀⠀⡾⡀⠀⠀⢸⠈⢆⢹⡇⠀⠀⣣⡷⠖⠂⢟⣄⠋⠷⢲⠟⡆⠈⡆⠀⠀⠤ ⠀⠀⢀⠻⣧⡇⠀⢸⠒⠸⣾⡹⠔⠒⠛⢠⡰⣞⣨⣯⣤⣀⠈⡎⠑⠀⢰⠀⠀⠀ ⠀⠀⣟⠋⠉⠳⠂⠙⡆⠀⢳⡉⠉⠉⠉⣯⡾⠟⡹⠀⠀⠉⡷⠇⡀⠀⠀⣇⠀⠀ ⠔⢲⣾⣅⣴⠾⡿⣿⣿⠆⠐⠁⠀⠀⠀⠋⠈⣉⣤⡤⠤⢔⢅⢀⡇⠸⠀⢹⡄⠀ ⠀⣸⡟⢿⡇⠀⣈⣒⣂⢀⠴⡀⠀⠀⠀⣠⡿⢫⠎⢔⠔⣽⣫⠞⢳⡆⠀⢸⢱⡀ ⠀⠃⣧⠈⢃⣏⣝⢔⡧⠒⠀⠀⠀⠀⠈⠁⠀⠀⠐⢁⠝⠉⠧⠀⡰⢠⠀⠈⠀⣷ ⠀⢸⣾⣧⢐⢫⠊⠟⠀⠀⠀⢀⣀⠠⠄⣀⠀⠀⡠⠁⠀⠀⣀⡴⠑⡿⠀⠀⠀⠼ ⢇⠘⣿⡏⠲⠅⠈⠀⠠⣄⣔⣥⣶⣾⣿⣶⣿⣿⠃⠀⠀⠉⠀⠀⠀⡇⠀⠀⠀⠀ ⢸⠢⡘⢿⡄⠀⣸⠀⠀⠈⣿⡟⠛⣿⠟⠉⢹⠏⠀⠀⠀⠀⠀⢀⣼⣿⡇⢠⠀⢀ ⡽⠀⣸⣷⣾⣶⡒⠁⠀⠀⢘⠁⠀⡏⠀⠀⣾⠀⠀⠀⠀⢀⣠⣿⣿⣏⡳⣸⢄⠈ ⠑⠚⠿⣿⣯⣿⢈⣷⣄⡀⠰⠀⠠⠇⠀⡠⠓⠃⠀⣀⣴⣿⣿⣽⣿⣿⢧⣿⣜⠦ ⠀⠀⠀⠈⠙⠷⡾⣿⣿⣿⣶⣇⠀⢠⠎⠀⢀⡤⣚⣻⠿⠟⠛⠉⠉⠁⣾⡗⠙⢆ ⠀⠀⠀⠀⠀⠀⠈⠢⡈⠉⠉⠉⠹⠉⡶⠾⠓⠉⠀⠀⠀⠀⠀⠀⠀⢰⣿⠁⠁⠀

⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠈⠉⠙⢿⣛⠭⢗⣒⠲⠋⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⢤⡀⠈⠑⢄⡀⠉⠲⢄⠈⠻⡲⢄⣀⡞⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣦⡀⠀⠙⢦⡀⠀⠑⢄⠈⠓⢍⠲⢄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠙⢿⣷⡄⠀⠀⠁⠀⠀⠀⠱⡄⠀⣁⠀⠑⢄⠀⠀⠀⠀⠀ ⡶⠋⠀⠀⣀⠔⡿⢡⠆⠀⢀⠆⢸⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⢣⡀⠀⠀⠀⠈⢦⠹⣿⡄⠀⠀⠀⠀⠀⠀⠘⣄⠈⠑⢴⠀⠳⡄⠀⠀⠀ ⠀⠰⠶⠈⣠⠞⡰⠁⠀⠀⡎⠀⢸⡄⠀⠀⢤⡀⢀⡀⠀⠸⠀⠀⠑⢄⠀⠀⠀⣀⣑⡘⢿⡄⠀⠀⠀⠀⠀⠀⠘⣦⣀⠈⠃⠀⡿⢆⠀⠀ ⠀⠀⠀⢀⠎⡜⠁⠀⠀⢸⠁⠀⡏⢧⠀⠀⠀⠙⢿⡷⢦⡶⠤⠤⠒⠚⠻⣿⠯⣁⠀⠉⠻⣷⠂⠀⠀⠀⠀⠀⠀⢻⣿⠗⠦⡀⠑⢌⢧⠀ ⠀⠀⠀⠎⡼⠀⠀⡰⠀⡌⠀⢰⢃⡿⡄⠀⠀⠀⠀⡇⢠⠗⠀⢤⠤⠤⢤⠼⢧⡤⠷⠦⣄⠙⣇⠀⠀⠀⠀⠀⠀⠈⣿⡀⠀⠙⠀⠀⠈⢣ ⠀⠀⠀⠀⠁⠀⢠⠇⠀⡇⠀⢸⣸⠠⢼⡄⢠⡀⠀⢱⡘⠀⠀⢀⣤⣶⣿⠶⡿⣻⠟⠛⠿⣿⣿⡀⠀⠀⠀⠀⠀⠀⢹⣧⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡸⠀⣰⢷⣰⣾⠃⠀⠀⠙⣜⡗⢄⠀⢧⠀⠀⠘⣻⠛⠒⠒⠚⣁⢠⣠⣴⢿⣋⡇⠀⡄⠀⡀⠀⠀⠈⣿⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠁⠀⣿⡴⢿⣾⣠⠞⠂⠀⠈⢻⡀⠙⠺⢦⡀⡀⠀⣠⣤⣶⠭⢚⣹⢿⡧⠴⠛⡇⠀⠁⠀⠀⠀⠀⠀⢿⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡄⠀⡟⠀⢈⢿⣧⣤⣶⣦⡀⢸⡃⣠⡾⡞⠉⠁⣹⣻⣽⠟⠉⠁⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⢸⡿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡇⢸⠃⣴⣿⣿⡯⠵⠋⢀⣠⡾⠋⠩⠊⠀⠐⠉⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⡇⠀⠀⠀⠀⠀⢸⣶⠚⠃⠀⠀⢀ ⠀⠀⠀⠀⠀⢸⣿⣘⡄⢿⡇⢀⣤⣴⣞⣹⡿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⡇⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠘⡄ ⠀⠀⠀⢀⢧⠈⣿⡷⣇⡛⠿⢟⡩⠞⠉⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⠿⣷⠀⠀⠀⠀⠀⠀⠸⠦⠀⠀⠀⠁ ⠀⠀⠀⠘⢈⣆⢹⢷⠸⣥⡴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡜⠀⢿⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⡔⠀ ⠀⠀⠀⠘⠈⢾⣼⡌⢇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠴⠚⣉⣉⣹⣷⣦⣄⠀⠀⠀⠀⠀⢠⡿⠁⠀⣾⠀⠀⠀⠀⠀⠀⣼⡧⠃⣼⠀⠀ ⠀⠀⠀⠀⡀⠘⡟⢷⠸⡄⠀⠀⠀⠀⠀⠀⠀⣾⣤⢶⣾⣿⣿⣿⣿⣿⣿⣿⡷⣄⠀⠀⠀⠚⠀⠀⠀⣿⠀⠀⠀⠀⡇⠀⣏⣠⣾⣿⡶⠀ ⠀⠀⠀⠀⡇⠀⢱⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⠿⣿⠋⠀⠞⢣⠀⠀⠀⠀⣀⣼⡇⠀⡀⠀⢸⠀⢰⣿⣿⣿⡟⠁⠀ ⠀⠀⠀⠀⢳⠀⠸⡄⠀⢘⣇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡟⠁⠀⢰⡏⠀⠀⢇⢈⣆⠀⠀⠀⠀⢸⡇⢰⠀⠀⡎⠀⣸⣿⣿⡏⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⢇⠀⠀⡟⣆⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⡀⠀⠀⠀⢧⠀⠀⠹⣿⠛⠷⣦⣀⣀⣾⠃⡆⠀⢰⠁⢠⣿⡿⡹⠋⠁⠀⠀ ⠀⠀⠀⠀⠸⡄⠀⠸⡄⡆⢣⠘⣦⡀⠀⠀⠀⠀⠈⢿⣿⣿⣷⣄⠀⠀⣀⠑⠦⡀⢳⠀⠀⠀⣹⣿⡟⢰⠁⠀⡏⢀⣾⠜⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢧⠀⠀⢱⠸⠸⣧⠹⡝⠢⡀⠀⠀⠀⠀⠙⠯⢄⡠⠭⠔⠚⠳⠦⣄⡴⠂⣠⣾⣿⣿⢃⡆⠀⣼⣧⠞⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⠀⠘⡤⡀⠀⠱⣇⢣⠣⡙⣄⠈⠑⠴⣀⠀⠀⠀⠀⠀⢠⣤⠖⠀⠀⠀⣠⣾⣿⣿⣿⡏⡘⠀⣰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢦⠀⢱⢱⡀⠀⠻⡌⢧⠘⢎⢦⡀⠀⡈⠉⠲⢤⣀⠀⠀⠀⠀⣀⣠⣾⣿⣿⣿⠟⡽⠐⠀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠐⠢⣄⣀⠀⠀⣀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢄⠋⢀⣤⡟⢿⣪⣭⠟⣿⣶⡀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠀⠀⠄⢆⣞⣿⡿⣿⣷⣿⣦⣻⣯⣻⡦⣀⠤⠊⠀⠀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠑⢄⡈⡈⣿⡿⠃⠘⣿⣿⠃⣽⣿⣿⣿⡅⠀⢀⡤⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢌⡷⣿⣿⠇⠂⠁⣾⢿⣴⣿⣿⣽⣿⢿⢂⡽⠀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢁⠋⠻⣶⠀⠀⢠⣿⣿⢿⣿⣿⣿⣴⠟⣥⡯⠤⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⠀⠀⠀⠈⡄⠂⠀⠉⠉⠘⠉⠋⠘⠛⠉⠙⠁⠀⡸⠒⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢛⠛⠻⣣⠀⠡⠀⠀⢀⠀⠀⠀⠀⠀⠀⢀⢰⡧⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠠⢀⡑⢢⣧⠀⠃⠀⠀⠃⠀⢀⠂⠠⡀⠀⡎⡼⠁⠠⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢙⡏⢰⠀⠀⠀⠀⢀⠎⠀⠀⠀⢠⢡⡇⠐⠤⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡀⠀⠀⢸⠀⠘⡇⠀⠀⠀⠚⠀⠀⠀⢀⢎⠻⠂⠰⣄⡀⠀⠀⠀⠀ ⠀⢢⣄⡯⠀⠀⠀⣀⠔⢣⠔⠀⠀⠀⠀⠀⠀⠀⢀⡏⢊⠎⣁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⠒⠬⠥⢤⢞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⡯⢐⠄⠀⠉⠂⠄⠀⠀⠀ ⠀⣖⠭⠀⠀⡠⣲⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣵⣤⣁⠢⡀⠀⠀⠀⠀⠀ ⠀⠈⢣⠧⠊⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢎⠉⠳⡈⠢⡀⠀⠀⠀ ⠀⡔⢡⠎⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠐⡄⠐⡀⢀⣤ ⠜⠀⢋⢾⠙⢦⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⡔⡄⡟⠣⣄⠈⢲⣾⣿⣿ ⠀⠀⣾⠚⠛⢷⡢⠀⠀⠀⠄⢠⣎⡉⡀⠀⠀⠀⠀⠈⠀⡰⣹⡀⢹⠧⠀⠻⣿⣿ ⠀⠐⠀⠀⠀⠐⢯⣕⠀⠤⣤⣞⠉⢳⡥⣀⠀⠀⢀⡠⣾⠟⠁⠀⠹⡇⠀⠀⠙⣿ ⠀⠀⠀⠀⠀⠀⠠⠥⠷⡶⠿⠉⠉⠙⠓⠤⠈⠯⠵⠺⠄⠀⠀⠀⠀⢸⠀⠀⠀⠘

⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣈⢁⢀⡌⠉⡥⡆⠈⠝⠄⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠀⢧⢹⡀⢧⢹⣀⣦⣿⡀⠀⠀ ⠀⠘⣿⣿⠹⣿⣿⠧⣆⣿⣿⡿⠟⠿⢳⣿⣇⣿⣧⣾⣿⣷⢾⣿⣟⣿⣹⡇⠀⠀ ⠀⠀⣿⡟⢀⡺⠡⠤⢀⢹⡏⠀⠀⢀⠜⡿⡏⠈⢻⣿⡟⢷⢀⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⠹⢱⠁⠀⠀⠀⠀⠙⢧⣀⣴⠋⠀⠆⠀⠀⠀⠀⠁⠈⠁⢻⣿⣿⠿⠀⠀⠀ ⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠑⢄⠑⠢⣘⡆⠀⠀⣀⠠⠂⠀⠀⢿⠟⠀⠀⠀⠀ ⠀⠀⠀⡇⠀⠀⠀⠐⠤⡀⠀⠀⠀⠁⠢⢀⣡⣶⣿⠟⣀⣀⣀⡀⠊⠘⠣⣀⠰⠀ ⠀⠀⠀⣇⠀⠀⠀⠀⠀⠈⠐⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣶⣿⣤⡀ ⡇⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠢⣄⣠⣤⠔⢂⣼⣿⣿⣿⣿⣿⣿⣿⣿⣧ ⠰⠀⢀⣧⠀⠀⠀⠀⠀⠐⡀⠀⠀⠀⢀⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⠀⣽⡄⠀⠀⠀⠀⠀⠈⠐⢤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⢀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠠⠃⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⣿⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛ ⣿⠟⡯⠋⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀ ⣏⡸⠁⠀⠐⠀⠀⠀⠀⠀⠀⣰⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⡏⠀⠀⠀⠀⠀⠀⠀⠳⠄⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠬⠂⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣿⣿⠲⢄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⡀⠀⢡⠀⠀⠀⠀ ⠈⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⡟⠀⠀⡸⠂⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠀⠂⠤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⡞⠂⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⡿⠗⠂⠈⠉⠁⠉⠁⠀⠀⠂⠀⠑⡄⠀⠀⠀⠀

⠀⠀⠀⠀⣀⢀⣠⣤⠴⠶⠚⠛⠉⣹⡇⠀⢸⠀⠀⠀⠀⠀⢰⣄⠀⠀⠀⠀⠈⢦⢰⠀⠀⠀⠀⠀⠈⢳⡀⠈⢧⠀⠀⠀⠀⢸⠀⠀⠀⠀ ⠀⠀⠉⠀⠀⠀⡏⠀⢰⠃⠀⠀⠀⣿⡇⠀⢸⡀⠀⠀⠀⠀⢸⣸⡆⠀⠀⠀⠰⣌⣧⡆⠀⢷⡀⠀⠀⣄⢳⠀⠀⢣⠀⠀⠀⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠘⠀⠀⠀⢀⣿⣇⠀⠸⡇⣆⠀⠀⠀⠀⣿⣿⡀⠀⠀⠀⢹⣾⡇⠀⢸⢣⠀⠀⠘⣿⣇⠀⠈⢧⠀⠀⠘⠀⢠⠀⠀ ⠀⠀⠀⠀⠀⢀⡇⠀⡀⠀⠀⠀⢸⠈⢻⡄⠀⢷⣿⠀⠀⠀⠀⢹⡏⣇⠀⣀⣀⠀⣿⣧⠀⢸⠾⣇⣠⣄⣸⣿⡄⠀⠘⡆⠀⠀⠀⠀⠆⠀ ⠀⠀⠀⠀⠀⣾⢿⠀⠇⠀⠀⠀⢸⠀⠀⢳⡀⢸⣿⡆⠀⠀⠀⣬⣿⡿⠟⠋⠉⠙⠻⣽⣀⡏⠀⠙⠃⢹⡙⡿⣷⠀⠀⢹⠀⠀⠀⠀⠰⠒ ⠀⠀⠀⠀⢸⣿⣿⣇⢸⠀⠀⠀⢸⣦⣤⡀⣷⣸⡟⢧⣀⡴⠶⠿⠻⡄⣀⣤⣴⡾⠖⠚⠿⡀⠀⠀⠀⠈⣧⠁⠹⠆⠀⠀⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⢸⣀⣼⣿⣼⡆⠀⢀⡘⡇⠀⠀⠹⡟⢷⡜⢉⣠⣠⣠⣀⣤⡿⣛⣥⣶⣾⡿⠛⠿⠿⣶⣦⡤⢹⠀⢀⠀⠀⠀⢹⡄⠀⠀⠀⠀ ⠀⠀⠀⢸⢸⡛⠁⠀⠙⢿⠋⠉⠉⠻⠀⠀⠀⢿⣄⠈⠁⠀⠀⠀⢉⢟⣴⡿⠿⠟⢁⠇⠀⠀⠀⠀⠹⣿⠻⡇⢸⠀⠀⠀⠈⣷⠀⠀⠀⠀ ⠀⣀⣀⣘⣿⡇⠀⢀⣠⣤⣶⣶⣶⣾⣦⡀⠀⠈⡿⠀⠀⠀⠀⠀⠀⣿⠟⠳⠦⡤⠊⠀⠀⠀⠀⠀⣸⠇⠀⡇⣼⠀⢰⠀⠀⢹⣇⠀⠀⠀ ⠛⠁⠈⣿⣷⣧⣴⣿⠿⠛⣿⠿⣿⣿⡿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⣠⣴⣶⠿⠿⠿⡷⢛⠕⠷⡄⣧⣿⠀⢸⠀⠀⠸⣿⡄⠀⠀ ⠀⠀⢠⣿⢿⣿⣿⠁⠀⠀⠈⠳⠤⠶⠃⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⠟⣱⠒⡠⢆⡴⣣⣯⢞⣴⡟⢿⡄⡏⠀⠀⠀⡏⢷⡀⠀ ⠀⠀⡌⣿⠀⠙⣿⡦⢀⣤⡴⣶⠖⣲⠆⢀⠞⠁⠱⠀⠀⠀⠀⠀⠠⣾⠟⠛⡡⠞⠁⢀⡴⢋⢎⣽⡿⣫⠋⠀⠘⢷⠃⡄⠀⠀⡇⠈⣿⡀ ⠀⠀⣇⢹⣦⠀⠼⢃⡾⢋⣶⢃⡼⣹⡳⠃⠊⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠈⠠⠋⠀⡰⠋⠀⢘⣇⡇⠀⢠⠟⠀⡇⠀⠀⠀⠀⢹⡵ ⠀⠀⢻⣌⢿⡆⠀⡝⣼⠟⣩⢏⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀⠀⠀⠀⠈⠀⣠⠏⣠⣾⡇⠀⠀⠀⠀⠘⣷ ⡀⠀⢸⣿⣿⣷⠆⢠⠏⡴⠃⡡⠋⠀⠀⠀⠀⠀⠀⣀⣠⠤⠔⠒⠤⣄⣀⠀⠀⢀⣰⠏⠀⠀⠀⠀⢀⣠⡾⠗⠋⢰⠏⡇⠀⠀⠘⠀⠰⢻ ⣇⠀⠘⣿⣿⣟⠻⣄⡞⠀⠐⠁⠀⠀⠀⠀⠀⣠⠞⣩⣤⣶⣶⣾⣷⣶⣬⣿⣿⣿⡏⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⢸⡆⡇⠀⠀⠀⠀⠀⠀ ⠹⡄⠀⠹⣿⣿⡄⠀⠉⠉⠀⡀⠀⠀⠈⢻⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣇⣧⠀⠀⠀⠀⠀⠀ ⠀⣿⢦⣀⠘⢿⣷⡀⠀⠀⡀⢦⠀⠀⠀⠀⠹⣿⣿⠏⠙⢻⣿⡿⠛⠉⠀⠸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⠀⠀⡆⠀⠀⡀ ⢼⣿⠀⠈⢳⣤⣉⣻⣤⣀⣉⣩⠆⠀⠀⠀⠀⠹⡿⠀⠀⠈⡿⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠓⠂⠀⣠⣾⣿⣿⡿⢿⡄⠀⣧⠀⠀⠹ ⣾⠃⠀⣠⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢸⡇⠀⠀⢠⠴⣿⡄⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⡿⣧⣀⠧⣰⣻⢄⠀⠀ ⠛⠶⢾⣿⣽⣭⣽⣭⢹⣷⠀⢹⣦⣀⠀⠀⠀⠀⡄⠀⠀⣸⡀⠀⠀⠁⣰⣧⣽⠀⠀⠀⠀⢀⣴⣾⣿⣿⡟⣻⣿⣿⣿⣿⢠⣿⣧⡸⣷⣄ ⠀⠀⠀⠈⠙⠿⣿⣿⣿⠏⠀⣾⣿⣿⣷⣦⣀⠀⢇⠀⠀⠈⠁⠀⣠⠔⠁⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏⣼⣿⠏⣷⡈⠉ ⠀⠀⠀⠀⠀⠀⠀⠙⠻⣶⣾⣿⣿⣿⣿⣿⣿⣷⣾⡆⠀⠀⠀⡾⠁⠀⠀⠀⣀⡴⠞⠛⣛⣿⡿⠿⠛⠛⠉⠉⠀⠀⠀⢰⣿⡿⠂⠈⠻⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢎⠉⠛⠻⠿⠿⠿⠿⠿⣇⠠⠸⣇⣀⣤⣴⣾⡭⠶⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠇⠀⠀⠀⠘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣤⡀⠀⠀⠀⠀⠀⠈⣳⠀⣿⠛⠻⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡯⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⠀⠀⠀⠲⢄⡀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⢀⣼⣿⠟⠛⠉⠉⠉⠀⠀⠀⠀⠈⠉⠉⠈⠉⠀⠀⠀⠉⠛⢦ ⠀⠀⠀⠀⠀⠀⠀⠈⠹⢷⣄⡀⣀⣀⣀⣈⣀⣀⣤⣄⠀⠀⣀⣾⣾⣷⣾⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣤⣴⣿⠿⠛⠋⠉⠉⠉⠙⠻⢿⣿⣷⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⡾⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣹⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠋⠁⠉⠛⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⢹⠀⢰⣷⡄⠈⠉⠙⠳⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⢿⠋⠀⠻⣿⣷⡄⠀⠀⠀⠀⠻⣿⣦⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡄⠀⠀⠀⠀⣿⣿⣿⡄⠀⠀⠀⠀⠈⠀⠙⢿⣿⣷⣦⣤⠀⠀⠀⠀⠀⢿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⡽⠀⠀⠀⠀⢀⣿⠘⣯⢿⣦⠀⠀⠀⠀⠀⠀⢯⠻⣿⣿⣿⠀⠀⠀⠀⠀⠈⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠈⢿⣇⠙⢿⣿⡀⠀⠀⠀⠀⠀⢸⣗⣾⣿⣿⣧⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠻⣆⢀⣿⣧⣀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢰⡀⠀⠀⠀⠀⠀⠀⠀⢻⣾⣧⣿⣿⡆⠀⠀⠘⣹⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀ ⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣁⠀⠀⠀⠀⠀⠀⠀⢈⣻⣿⣿⣿⣿⣶⡾⠟⠛⣿⣿⣿⣿⣿⠿⠋⠉⠁⠀⠀ ⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠘⣸⣏⣣⠀⠀⠀⠀⢀⠀⢨⣿⠟⠻⡉⠉⠀⠀⠀⢸⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀ ⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣇⣤⣾⣿⣿⣿⣿⣿⡷⢤⣤⡴⢾⢋⠇⠀⡆⣇⠀⠀⠀⠀⢸⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠡⠽⠟⠉⢻⣿⣿⣧⠀⠀⢀⣼⡾⠀⠀⠁⠋⠀⠀⠀⠀⠸⣿⣿⠈⠇⠀⠀⠀⠀⠀⠀⠀ ⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠛⠀⠀⠀⠀⠀⠈⠻⣿⣿⠄⠀⠈⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡏⠀⠀⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⢿⣶⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣦⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⣒⠀⣠⣲⢿⣿⣷⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⣰⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⣅⡾⠿⣿⣀⠀⠹⣷⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣨⡾⠃⠒⠒⠒⠒⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠚⠛⠛⠻⡗⢛⡟⠒⠒⠈⢿⣶⣤

no lube, no protection, all night, all day from the kitchen floor to the toilet seat, from the dining table to the bedroom, from the bathroom sink to the shower, from the front porch to the balcony, vertically, horizontally, quadratic, exponential, logarithmic, while I gasp for air, scream, and see the light, missionary, cowgirl, reverse cowgirl, doggy, backwards, sideways, upside down, on the floor, in the bed, on the couch, on a chair, being carried against the wall, outside, in a train, on a plane, in the car, on a motorcycle, the bed of a truck, on a trampoline, in a bounce house, in the pool, bent over, in the basement against the window, have the most toe curling, back arching, leg shaking, dick throbbing, first clenching, ear ringing, mouth drooling, ass clenching, nose sniffling, eye watering, eye rolling, hip thrusting, earthquaking, sheet gripping, pulling, teeth jitterbug, mind bloging, soul snatching, overstimulating, vile, sloppy, moan inducing, heart wrenching, spine ting, thirsty, thursting all day without stopping, till nothing left, satisfied, non-stop, every single sec, crawling, back hurt, cramp legs, can't walk for 5 years, don't care, still non-stop, him oiled up makes me turned on even more, screaming without s, him whimpers makes my inside giggling, in heat, everyday, till the neighbors hear us, till the neighbors can remember his name perfectly, even earthquake, thunderstorm, heavy rain, typhoon, we still keep going, broke bed, everyday buy a new bed, hole floor, gasping for air, crying, gripping his back, leave a bite marks and red marks on his neck and every spot, scratching his back, leaves a scars on his back, phenomenal, month foaming, heavenly awakening, id still bounce on it, body numbling, back worthy, hair drenced, flabbergasting, down break, whimpering our names, till the neighbors decide to move, legs spread automatically, DOWN BAD, ON MY KNEES, WOF WOOF WOOF WOOF WOOF WOOF WOOF WOOOF εつ▄█▀█●8=✊🏻=D💦👅ूाीू(╥﹏╥)𝐒𝐭✰𝐫𝐠𝐢𝐫𝐥fYͧoͨku𓀐𓂸𓀐𓂸Ohio bussin :>𓁹‿𓁹

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⠀⠀⠀⠀⠀⠀⠠⣢⣀⣤⡶⠧⠬⠷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡜⢋⣠⡤⢤⠶⣤⣀⠫⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠒⠺⠀⡯⣀⣷⣼⣶⢷⣼⣿⣯⣛⢷⣦⣤⣤⠀⠀⠀⠀⢀⣠⡶⡏ ⠀⠀⠀⠀⠀⠑⡇⣴⠣⣿⠻⠿⠧⠿⠿⠿⢿⣿⣿⣿⣷⠋⠀⠀⢀⡴⠋⡸⢱⠀ ⠀⠀⠀⠀⠀⠀⢧⢿⣙⣧⣶⡍⠃⡀⠀⡆⣈⣿⣿⣿⣿⣶⣶⢾⣽⠁⠀⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣶⣿⣿⡎⠀⠀⢠⠤⡌⡿⠛⠉⠉⢹⢣⢣⠃⡇⠀⠀⣇⠀⢀ ⠀⠀⠀⠀⠈⢃⠀⠙⣿⣿⢷⣤⣠⣤⣡⣼⠁⠀⠀⠀⠸⡜⡌⢆⠘⠆⠀⠈⠢⣈ ⠀⠀⠀⠀⠀⠈⡄⠀⣿⣿⡿⠟⠛⠛⢿⠋⣐⡒⠖⠒⠛⠛⣿⠦⣉⣲⣦⣤⠤⠼ ⠀⠀⠀⠀⠀⠀⢱⠀⠀⡜⠁⠀⢀⡴⣳⠏⠬⠦⠀⠀⠀⠀⢻⡷⠋⠉⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢃⣼⠀⠀⣰⢟⠾⣡⠖⠂⠉⠉⠉⠉⡿⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣀⣀⣀⣀⢠⣞⠭⢷⣴⡷⡫⠊⠁⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡌⠫⡓⣍⠒⢔⠀⢂⣽⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠹⠀⠈⠈⢢⠀⣷⣧⣿⠋⠀⠀⢸⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠆⡄⠀⢸⡿⣻⡿⠁⠀⠀⠀⢰⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⣼⡧⠔⠋⠉⠉⠃⠀⠀⠀⠀⠀⣶⡼⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡏⠚⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠘⣌⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠳⣣⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⠭⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⡀⠀⠀⠀⢀⣾⠤⠀⠀⢀

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠀⠀⠀⠀⠀⠀⣀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠴⢦⡀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣞⣋⣉⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⡴⣶⣿⣇⣀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠻⣿⣿⣿⠿⢟⠛⠛⠿⠿⢯⣝⣛⠻⢿⣛⡛⠋⠉⠁⠙⣯⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠖⠋⢿⣿⣿⣿⢳⣶⣦⣤⣀⡀⠉⢍⡙⠛⠿⠷⣶⣤⠀⠈⠹⣧⠀⠀⣄⠀⣀⡤⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠖⠉⠀⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣌⡁⠀⠀⠀⠻⢽⣲⣼⣿⣷⣄⠈⠻⣅⡀⠀⢀⡠⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⠚⠉⠀⠀⠀⠀⠀⢀⣾⢿⣿⡏⠉⠉⣿⡿⠿⣿⣿⣿⣿⣿⣷⣤⣀⠀⠀⠙⢷⡮⠙⢿⣷⣤⣨⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⢾⣿⣵⠀⠀⠙⣧⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣦⣀⠈⠻⣦⠠⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⣿⣿⣿⡏⢻⣿⣶⡀⠀⢿⣷⣄⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⣷⣄⣹⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⠄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⢾⡁⠀⣿⣿⣿⣷⡀⠙⢿⣷⣦⣘⡟⢿⣿⣶⣤⣤⣄⣀⣼⡿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⠿⠛⠁⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⠴⠞⠉⠀⠈⣇⠀⣿⢻⣿⡿⣿⡀⠀⠁⠻⣿⣷⣤⣉⣛⣿⣿⣿⠿⢛⣃⡉⠹⣿⡟⠀⠀⠀⠀⠀⠀⣠⣶⣿⡿⠋⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⠒⠉⠁⠀⠀⠀⠀⠀⣸⡆⢻⣼⣿⡇⠙⣷⣤⡀⠀⠈⠙⠿⢿⣯⡍⣙⡓⠐⠻⠿⠿⣿⣿⡀⠀⠀⠀⢀⣴⣾⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠁⠀⠀⠀⠀⠀⠀⠀⢀⣴⣻⠃⠀⠹⣿⢱⡄⠀⠙⠿⡄⠀⠀⠀⠀⠀⠀⠀⠈⠻⡄⢀⣤⡤⠴⣷⡀⢀⡴⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡤⠛⠉⣿⠀⠀⠀⣿⠀⠙⢦⣀⠀⠀⠰⠄⠀⠀⠀⠒⠦⣄⣀⢁⡏⠀⠒⠂⠘⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⠞⠉⠀⠀⢀⡟⠀⠀⣴⢃⡇⠀⠀⠿⠑⠦⣄⡀⠀⠀⠀⠓⠒⢶⠾⢻⡷⢾⣶⣶⣦⣾⣧⡀⠀⠀⠀⠀⢀⣀⣠⣴⣶⣶⡿⠉⠀⠀⠀⠀ ⠀⠀⣠⡶⠋⠀⠀⠀⠀⢀⡞⠀⠀⢰⡧⠞⣅⠀⠀⠀⠀⠀⠀⠀⣼⠃⠰⠶⠤⠤⡤⡿⠄⠀⠨⡍⢹⣿⣿⣿⠷⠿⠟⠛⠛⠉⠉⠀⣴⢟⠁⠀⠀⠀⠀⠀ ⠀⠘⠉⠀⠀⠀⠀⠀⢠⡎⠀⠀⢀⡾⠁⠀⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⢀⣠⠤⠖⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⢀⣠⠞⠁⣼⠀⠀⠀⠀⢀⡆ ⠀⠀⠀⠀⠀⠀⠀⣠⠟⠀⢠⡀⡼⠁⢀⡔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠖⠋⠀⢀⣼⠃⠀⠀⠀⠀⡼⠀ ⠀⠀⠀⠀⢀⣴⠞⠁⠀⠀⢸⢰⠁⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⣸⠁⠀ ⠀⠀⣀⠀⠋⠁⠀⠀⠀⠀⣾⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠃⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣞⣋⡉⠙⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣞⣅⣀⣀⠈⠓⠀⠑⢿⣦⣀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⡯⠷⠶⢶⣶⣝⣶⣶⣶⢿⣿⡿⣋⠙⠲⢾⡿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢏⣠⠀⠀⠈⣴⡞⠛⢉⣿⣿⡻⣞⠿⣿⡦⣦⠘⢿⣳⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⣎⣤⡄⠀⠠⣿⠤⠶⠋⠀⢻⣏⠉⠓⢄⠀⠙⡄⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⢸⣄⣸⣥⣤⣀⠀⠀⠀⠀⠀⠀⢸⡜⡵⡀⠀⠃⠀⢷⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣼⣳⢻⠈⠛⡾⠤⣀⡀⠀⠀⠀⠈⣷⢇⢳⡄⠀⠀⢸⣿⡁⠀⠀⠀⠀⠀⣀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿⣆⠀⢧⡻⢸⠇⠀⠀⠀⠀⣼⣿⣾⠹⣄⣷⡘⣮⠻⣦⣤⡾⣗⣻⠟⢀⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠻⣧⣿⣷⣄⠙⠉⠀⠀⠀⣠⡾⣿⢿⢿⣦⡘⠿⣿⣛⢷⣬⣉⡉⣉⡠⣴⡋⠀⠀ ⠀⠀⢀⡀⠀⠀⣀⣤⠞⠳⢭⡈⠙⣿⣿⢶⣤⣤⣾⡿⠟⠁⢸⣖⣿⣾⣷⣶⣿⣿⣾⡺⢿⣏⠉⠁⠀⠀⠀ ⠀⠀⠈⠑⠛⠓⣲⠆⠀⢀⡠⠖⠫⣽⣿⣿⣿⡖⡾⡇⠀⠀⠘⡞⣮⠙⠒⠒⠛⠉⠓⣷⢈⢷⣍⠓⢤⡀⠀ ⣤⣖⣤⢤⣤⠊⠁⡠⠔⠋⣀⣤⠖⢯⠟⠒⠛⢥⡃⣇⠀⠀⠀⢷⣞⠉⠉⠉⠒⢤⠀⢈⣿⡀⣿⣷⣬⣻⠀ ⠉⠉⠻⢟⣫⠵⠖⠤⠔⠋⢁⣿⡆⠈⢧⠀⠀⠀⠉⣧⠀⡀⠀⠀⠉⠣⣄⠀⡀⢨⡷⠞⣛⣿⠈⡿⣟⣾⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢟⠕⣹⡀⠈⢆⠀⠀⠀⢸⡀⠈⢢⠀⠀⠀⠈⠻⣵⡾⠁⠀⡇⢸⣷⢿⣿⡎⠀ ⠀⠀⠀⠀⠙⣶⣖⣊⠩⣖⢏⠔⠁⡇⠀⠈⣦⠀⠀⣼⡇⠀⠀⠲⣄⠀⠀⠀⠈⠳⣦⡄⠣⠋⢠⡟⠁⠀⠀ ⠀⠀⠀⠀⢰⡀⠉⠿⠟⠚⠁⣠⠊⢹⡀⠀⠀⢧⠀⠸⣧⣄⡀⠀⠀⠙⢆⠀⠀⣠⡾⠿⣷⡄⠹⣵⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⢶⣖⣒⡒⠋⣠⠀⢾⣇⠀⠀⠀⠣⡀⢻⡄⠿⢵⣲⣤⣈⢣⣴⡷⡍⠀⠘⣧⢠⢻⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡭⣍⠉⠉⢀⣠⣮⣿⡀⠀⠀⠀⠱⡈⣿⡀⠀⠈⠉⢿⣿⣿⠆⠀⠀⢰⡟⠹⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠱⡻⣕⠒⢒⡾⣹⣿⣇⠀⠀⠀⠀⢳⠸⣇⠀⠀⠀⠀⢸⠇⠀⣀⣴⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠚⠭⠭⠜⣙⣛⢿⣦⠀⠀⠀⠈⣇⣿⢤⣀⣠⡴⠯⢺⡿⡏⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠋⠙⣷⡀⠀⠀⠹⣿⠀⠀⠀⠀⣰⠏⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠉⠳⢦⡤⠞⢀⠜⢀⡴⠱⡀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡴⠖⠒⠛⠟⠁⠀⠀⠀⢀⡴⠋⣠⠊⠀⠀⢣⡀⠀⢻⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠛⠱⢦⡀⠀⠀⠀⠀⠀⠀⠀⠛⠁⣼⣹⡄⠀⠀⠀⢳⡀⠀⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⠋⠀⠀⠀⠈⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠳⡀⠸⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⠏⠀⠀⠀⠀⠀⠈⢏⢦⠀⠀⠀⠀⠀⠀⠀⣜⣾⡇⠀⠀⠀⠀⠀⠑⡄⢇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⡟⠀⠀⠀⠀⠀⠀⠀⠘⡎⢷⡀⠀⠀⠀⠀⢰⠙⣼⡇⠀⠀⠀⠀⠀⠀⠘⡾⠀⠤⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⢹⠀⠀⠀⠀⠀⠀⠀⢀⢣⠀⠹⡖⠦⢄⣰⣃⣸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠈⠑⠶⠤⣵⡄ ⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⢀⣤⠚⠀⠀⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠶⠚⠁⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢠⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⢠⢏⡿⣹⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⣠⣏⣾⢧⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠚⢯⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⢌⠠⢠⠄⢀⢰⠷⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠈⠻⣿⣿⣦⡀⠘⢤⡢⣄⠙⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠁⠀⠀⠀⠀ ⣦⣀⠘⢿⡿⢿⣆⡀⠙⢦⡉⠒⢤⡙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠁⠀⠀⠀⠀⠀ ⠉⠙⠻⠾⣿⣄⠙⠷⣤⡀⠈⠲⢄⡈⠂⢌⠻⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⢿⠃⠀⠀⠀⠀⠀⠀ ⣇⠀⠀⠀⠀⠉⠀⠀⠈⠙⠲⢤⣀⠈⠑⠢⣄⠈⠻⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⢁⡇⠘⠀⠀⠀⠀⠀⠀⠀ ⡏⠳⢤⡀⠀⠀⠀⠠⢒⡤⠀⠀⠀⠹⢷⣆⠀⠁⠀⠈⢻⣿⣿⣿⡟⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⡤⠖⠋⠀⢀⣾⠀⠠⠀⠀⠀⠀⠀⠀⠀ ⣿⡄⡰⣏⠙⠲⢤⣄⣀⠉⠀⠀⠀⠀⠀⠉⠻⢦⣄⠀⠀⠙⢿⣿⣇⣹⣤⠴⠒⠒⠒⣒⡒⠲⠤⢤⣀⠀⢀⡞⢸⠀⠆⠀⠀⣀⣀⡄⠀⠀ ⣿⣿⣦⢈⠙⠲⣤⡀⠈⠙⠓⠦⣄⡀⠀⠀⠀⠀⠈⣹⣶⣶⡿⠟⠛⢿⡗⢤⡀⠶⠿⡫⢚⣽⣙⠖⠒⠭⢿⣦⡦⠤⢲⠯⠕⣳⠎⠀⠀⠀ ⣿⣿⣿⣿⣇⠀⠀⠉⠓⠦⣄⡀⠀⠉⠓⢦⣀⢀⣾⣿⡟⠉⠀⠀⠳⣌⢻⣿⣿⣦⣴⠀⠛⢟⣁⠀⠀⠀⠀⠈⠙⠲⠅⠀⣰⡏⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠈⠛⠷⣆⠀⠀⠉⣿⠟⢸⠀⠀⠀⠀⠀⣠⣿⣿⣍⣳⣿⢧⡀⢸⢏⣄⡄⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⠀⠈ ⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣀⡀⠈⠙⠀⣸⣿⣶⣿⣿⠿⢿⡯⣿⣿⣭⠭⠭⠭⢥⣈⣻⣦⡀⢻⣿⡆⠀⠀⠀⠀⠀⡞⠀⠀⢀⡔⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⡿⠋⠁⠀⣰⣾⣿⣏⣼⣾⡼⣵⣤⣾⣀⡌⣩⣏⣸⠷⠆⠀⠀⠀⠀⢰⠁⠀⡰⠋⠀⠀⠀ ⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⣀⡤⠀⠘⢹⡇⠀⠛⠉⠋⣹⠿⠉⣽⡿⣿⠻⠟⠙⠂⠀⠀⠀⠀⠀⣆⡤⠚⠁⡰⠂⠀⠀ ⠿⠿⠿⠧⠤⠿⠛⠛⠿⠿⠿⠿⠿⢿⣷⣖⡻⠋⠀⠀⠀⠀⢣⡀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠜⠉⠀⠀⡜⡁⠀⠀⠀ ⠀⠀⠀⣀⡠⠄⠒⠂⠀⠀⠀⠀⠉⠉⠒⠂⠭⣉⡙⠒⠢⢤⣀⠙⠢⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠊⠀⣀⠔⢀⣼⠞⠁⠀⠀⠀ ⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠔⠒⠋⠀⠀⠀⠈⠙⠻⢶⣦⡉⠲⢄⠀⠀⠀⡀⠀⣰⠟⠁⠀⠒⡁⠀⠀⡜⠁⠀⠀⠀⠀⠀

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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣝⢿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣝⢿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡙⢿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡔⠻⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠈⠿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆ ⣿⣿⣿⣿⣿⣿⢻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡹⠀⠀⢸⣿⣿⣿⣿⣿⣿⡟⠀⣿⣿⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⢸⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣟⣿⠃⠀⢿⡿⣿⣿⡏⣜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠀⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⡇⠀⠀⢻⣿⡿⠟⣫⣤⣾⣾⣿⣿⣿⣿⣿⣷⣶⣤⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠤⢿⡺⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠏⢠⠇⠀⠀⠿⠋⣠⣾⣿⣿⡿⡿⡟⠻⣿⣿⡏⠛⠿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡆⠈⢧⣿⣿⡿⠿⠿⠛⠋⠙⣧⠀⠐⠋⠀⠀⠀⠀⣾⠟⣿⣿⣇⣀⣿⣿⣄⣈⣿⣶⣀⣠⠟⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⣧⣄⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠨⠗⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢻⣿⣿⣿⣿⣿⡿⠿⡿⠿⣿⣿⣍⡙⢷⡆⠀⠀⢼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠟⣿⣿⠃⠀⣾⣿⠶⣛⠋⠉⠀⠀⠙⠲⢤⡸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢾⣿⠇⣿⣿⢿⣿⣿⣿⣿⣿ ⣿⠃⠀⢿⣿⡶⠚⠉⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠖⢁⣾⠏⠀⣿⣿⢸⣿⣿⣿⣿⣿ ⠋⠙⠓⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠛⠁⠀⢰⣿⡇⠀⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠀⢠⡿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠁⠀⢸⡷⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠋⠀⠀⠀⢸⡷⣿⣿⣿⣿ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠤⠤⠤⣤⣀⡀⠀⠀⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠏⢹⣿⣿⣿ ⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠴⠋⣉⣠⣤⣴⣶⣶⣾⣬⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣀⣼⣿⣿⣿ ⡟⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣜⢡⣴⣿⣿⣿⣿⠿⢿⣛⡿⢟⡫⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿ ⢷⣜⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠻⠿⣿⣿⣷⠶⠶⢛⣿⡿⠞⠉⠀⠀⠀⠀⠀⢀⡴⢶⣾⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿ ⠓⠺⠿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠟⢷⢰⡏⠹⣆⠀⠀⠀⠀⠀⠀⣴⠋⠀⢸⡇⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿ ⣷⣍⠓⠒⠻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠈⢻⡀⠀⠹⡄⠀⠀⠀⠀⢸⠃⠀⠀⣸⠁⠀⣠⣾⡿⠋⠀⣰⣿⣿⣿⣿ ⣿⣿⣿⣦⣄⣈⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠘⣇⠀⠀⢱⡄⠀⠀⠀⢸⠀⠀⠀⣿⢀⣼⣿⠟⠀⠀⣸⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡀⢹⡄⠀⠀⠻⡄⠀⠀⢸⠀⠀⠀⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⢳⠀⠀⠀⠙⣆⠀⢸⡀⠀⠀⢹⣿⠃⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣄⣀⡀⠀⠀⠀⠀⠀⠈⢯⣷⠀⠀⠀⠘⣿⣿⠂⠀⠀⢸⡟⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡉⠙⠿⣿⣿⣿⣷⣶⣶⣶⣤⣿⣇⠀⠀⠀⠘⢿⠀⠀⠀⢸⡃⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⠿⣷⡀⠀⠀⢸⠀⠀⠀⢸⡇⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠓⠶⢤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡴⠤⢸⠂⠀⠀⠀⣧⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠈⠉⠛⠲⠤⣄⣀⠀⠀⢀⣠⣿⠦⡾⠀⠀⠀⠀⢹⠀⢸⣻⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⡇⠀⠀⣠⡤⢤⡀⠀⠀⠀⠀⠈⠉⢙⡿⢿⣅⣸⢀⡇⠀⠀⠀⠀⠘⣇⡿⠛⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⠁⠀⠀⣿⠀⠀⠙⢳⣄⠀⠀⠀⡴⣫⡤⣄⠙⣿⣸⠁⠀⠀⠀⠀⠀⢹⣇⠀⢹⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⣼⣿⣿⣿⡏⠀⠀⠀⠹⡆⠀⠀⠀⠙⣆⢠⡞⠁⠻⠦⠞⢠⡏⡿⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠹⣄⠀⠀⣀⣬⣿⣿⣷⣶⡒⢲⡾⢸⠁⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢸⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠹⣧⠞⣡⠜⠛⢻⣿⣿⣿⡟⠁⡞⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀⠀⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⣸⢸⢸⢸⡏⠂⠀⣾⠥⡇⠥⡄⣹⠀⠀⢸⣿⡤⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⢸⢸⠔⡇⣾⡄⣿⢀⠀⠀⠑⢾⠀⢀⢸⡿⢡⢁⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡇⠈⡼⣇⠇⡿⠯⡟⠂⢴⣶⣶⡷⡄⠸⣸⡇⡏⡾⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⢵⢣⢳⣞⣶⣿⢠⡏⠂⠘⠛⢉⢱⠀⣧⡏⡇⡗⣷⡆⠀⠀⠀ ⠀⠀⠀⠀⡈⣸⢣⢆⣫⠛⠋⠀⠀⠀⠀⠀⢸⡆⣼⢁⣇⡇⡇⡁⡇⠀⠀⠀ ⠀⠀⠀⠀⡇⡏⡎⣌⣎⡳⠄⠀⠀⠀⠀⠠⢻⣶⣿⣾⢸⢰⡁⡇⡟⠀⠀⠀ ⠀⠀⠀⠀⠇⣧⣿⣿⣼⣿⣦⣄⡀⠀⢀⢔⠟⣿⣻⡇⢸⡾⣇⠁⡇⠀⠀⠀ ⠀⠀⠀⠀⢀⢸⣿⢹⣿⣿⣿⣿⠈⠉⠀⠁⠀⢷⡟⠃⣾⢳⡟⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⢘⠸⠿⠻⠿⠛⠋⠁⠀⠁⠀⠁⠔⢀⠉⠓⠛⠛⠧⣰⠇⠀⠀⠀ ⠀⠀⢠⠊⠀⠀⠀⠀⠀⠀⠀⠉⠁⠢⠤⠊⠁⠀⠀⠀⠀⠀⠀⠈⠉⢆⠀⠀ ⠀⠀⠈⠀⢀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⢸⠀⠀ ⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣸⠀⠀ ⠀⡐⠁⡠⠔⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠄⠀ ⢰⠀⡌⢤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠈⠄ ⢸⠀⠃⠀⠀⠑⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠸⡀⠘ ⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠇⠀⢆⠀⠀⠀⠀⠀⠀⠀⠁⠁⢸⠃⢰ ⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⡠⢼⠋⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠒⠁⢠⠂ ⠀⠀⠋⠑⢶⢠⠤⠀⢒⠨⠒⠁⠀⠀⠀⠀⠐⢕⠤⣀⠀⠀⠀⠀⣀⢴⠁⠀ ⠀⠀⠀⠀⠀⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⢹⠩⠋⠀⠈⡄⠀

⠀⠀⣠⣾⠿⢋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢦⠀⠀⠙⢆⠀⠀⠀ ⠀⡰⠟⢥⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⡀⠀⠀⠡⡀⠀ ⡰⢁⠔⠁⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠈⠛⠓⠂⠀⠀⠀⠀⣡⠀⠀⠀⠐⡀ ⠁⠂⠀⠀⠀⠀⣀⠴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠀⠀⠀⠀⠀⡆⠀⠀⠀⠐ ⠀⠀⠀⢀⠔⠁⠀⠀⠉⠀⢡⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⢤⣤⣄⠀⠀⠀⠀⠀⠰⠿⡿⠻⠛⠛⠻⡴⢶⠀⠀⡰⣿ ⠀⠀⠀⠀⠀⣀⣤⠶⢟⠛⠋⠉⠋⠀⠀⠀⠈⠀⠀⠀⠉⠀⠀⠀⠀⢘⠄⣸⣟⣏ ⠀⠀⠀⢐⣶⠟⠁⠠⠂⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠘⣿⣜⣼ ⢀⣀⠤⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⠄⣷⣿⣻⣿ ⡈⠳⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠐⣠⡀⠀⠀⠈⢂⠀⠀⡇⠀⠀⠀ ⠈⢢⠀⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⡄⠀⠀⠀⢳⢤⠁⠀⠀⠀ ⠀⢌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⣿⠿⢿⣧⠀⠀⠀⢠⠃⢀⠄⠀⠀ ⡀⠀⠺⠇⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠘⡆⠈⢻⠀⠀⠠⠃⣠⠎⠀⠀⠀ ⠈⠑⠂⠠⣤⠽⣄⡀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠐⠀⢸⠀⡰⢁⡾⠁⠀⠀⠀⢀ ⣤⠀⠀⠀⠈⠀⠈⠢⡁⠢⢄⠀⠀⠀⠀⠀⠙⢦⠀⠀⠈⠰⠑⠁⠀⠀⠀⠀⠀⠀ ⠘⠀⠀⢀⡀⠀⠀⠀⠑⠄⠈⠻⣶⡀⣤⣤⡀⣀⣆⢠⠧⠁⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⢀⡤⡺⣫⠤⠤⠤⠤⠤⣀⠉⠓⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡴⣩⣴⣻⠁⠀⠀⠀⠀⠠⡀⠑⡢⣀⠀⠉⢢⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣺⣿⣿⣧⡇⢀⣀⠀⠀⠀⠀⠐⠦⠙⢦⡑⢄⠈⠉⠻⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠟⠉⠀⠀⠿⠀⣿⣴⠟⠒⠦⣀⠀⢰⡀⠀⠙⢷⣿⣄⠠⣝⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⢾⣶⣦⣤⡿⠛⠋⠉⠉⠛⠳⢤⡙⢦⡀⠈⢳⢙⢆⢻⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠈⢿⠋⡍⠀⠀⠀⠐⠒⡒⠒⠒⣙⣾⣿⣷⣄⢟⢸⣾⣮⡙⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡄⠀⠀⠈⢧⡇⠀⣸⡀⠀⠀⠀⢸⢿⣿⠿⠛⢿⢿⣿⣿⣿⠿⢟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⣄⠀⡀⠈⢧⢠⠃⣅⣀⠀⠀⠀⠈⠀⠀⠀⠈⠈⣿⣏⣿⡀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢻⢿⡆⠙⢦⡘⢷⡻⣵⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠙⡏⠀⠀⠀⠀⠀⠀⠙⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠆⠳⣄⠀⠙⢦⡹⣄⠀⠀⠀⠐⣚⣡⣞⣿⠀⣸⢹⠀⠀⠀⠀⢀⠜⠀⠀⠀⠀⠙⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠳⢄⡀⠈⠻⣷⣤⡀⠀⠛⡗⠋⣡⣾⠇⠀⠀⠀⢀⡴⠋⠀⠀⠀⢦⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⢓⡦⣝⣮⠉⣉⣉⣋⣩⡷⠃⠀⠀⢀⣔⡟⠁⠀⠀⠀⠀⢺⢳⡀⠈⡆⠀⠀⠀⠀⠀⢀⠔⠒⠂⠀⠀⠂⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠖⠉⠀⠀⠈⢉⣀⡀⠀⣀⡤⢄⡀⠀⠊⠈⠀⠀⠀⠀⠀⠀⠘⠻⣧⠀⢧⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣧⠀⠀⢠⡀⠀⠀⠐⠒⠒⠒⠒⠂⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠘⡆⢸⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⡾⠀⠀⠀⠱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠁⠀⠀⢰⣶⡄⠀⣿⠈⣆⠀⠀⡎⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠙⣿⣾⡀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠹⣟⠤⣤⣄⣩⡤⣾⠛⡀⠘⡄⣼⠀⠀⠀⠀⠃⠳⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠈⢿⠁⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠈⠛⠶⠶⠒⠋⠉⡇⠙⡄⢀⠏⠀⠀⠀⠴⡄⠀⠹⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠱⡄⠀⠀⠀⠀⢣⡀⠀⠻⠧⢀⠀⣠⡞⠀⠀⠀⠀⠀⠀⠀⠀⠠⠧⠤⣙⡺⠀⠀⠀⠀⠀⠘⣆⠀⠈⠑⢄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠙⠢⢤⣤⡤⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠑⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⣄⠀⠀⠀⠀⠉⠢⣅⣀⠀⠀⠀⠀⠀⠀⠀⣠⠎⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⠲⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠱⣄⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⢀⣰⠃⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢆⢀⠀⠀⠀⠀⠙⣝⠀⠀⠈⠁⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⣣⡀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠙⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⠤⠤⠶⠶⠦⠤⠽⡷⡀⠀⠀⠀⠈⢇⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡠⠔⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣦⡀⠀⠀⠈⢷⢤⡀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀ ⠀⠀⠀⣠⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣝⢦⡀⠀⠀⢿⠻⣆⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⣀⡤⠞⠡⠴⠶⠖⠂ ⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⣠⡤⠀⡀⠀⡀⠀⢀⣀⣀⡤⠤⠔⠈⠳⡵⡄⠀⠈⢣⡈⢓⢤⣀⠀⣤⡼⣂⣦⡖⠋⠹⣷⠒⠒⠲⢚⡆⠀ ⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⣼⣿⣷⣶⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠘⣞⡆⠀⠀⠙⢮⣸⣶⣤⣿⣯⣤⣽⣦⣤⣤⣿⠉⠉⠺⠀⢷⠀ ⠀⠀⡇⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⢤⣀⡀⠀⢸⠘⡆⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣸⣷ ⠀⠀⢹⣄⠄⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⢙⣷⣿⢀⡇⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠙⣳⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢋⠊⢀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻ ⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠓⠂⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣷⣿⣿ ⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿ ⠺⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⠿⣿⣿⣿⣿⣿⣽⠆⠹⡛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⢀⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠉⠲⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⡰⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣖⣄⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⢠⠊⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠉⠒⢄⠀⠀ ⡀⣐⠍⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠰⢂⠀⠀⠀⠀⠀⠀⠑⠄ ⡟⡍⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠎⠀⣤⠈⡆⠀⠀⠀⠀⠀⠀⠈ ⡰⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⠁⠀⢠⡏⠀⡀⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⠉⠀⢀⡤⠊⠀⡠⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠉⠣⠀⠀⠀⡀⠴⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠀⠀⠀⠀⠀⢀⣠⠴⢎⡀⣀⠤⡊⠁⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣶⠛⢀⠄⢤⡎⠀⢰⠋⠀⠉⠁⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⠟⠁⢠⡏⢰⣭⣇⣠⢾⠀⡀⢀⠀⠀⠈⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡄⢀⣼⡟⠀⣠⢃⠇⠀⣦⢹⠁⠀⡆⠉⠙⠄⠀⠀⢸⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣠⣿⡟⠀⢠⠃⢸⣤⣄⡌⠑⠁⠀⠃⠀⢀⡤⠀⠀⢸⠘⢧⠀⠀⠀⠀⠀⠀⠀ ⣾⠟⣹⠁⢀⠓⠀⢘⣛⡿⠁⠀⠀⠀⡇⢀⡞⠁⠀⠀⡜⠀⠘⣷⡀⠀⠀⠀⠀⠀ ⠀⢠⠇⠀⣼⣧⠀⠈⠀⠀⠀⠀⡇⠀⢷⡾⠀⣠⣄⣶⠃⠀⠀⣿⢷⡀⠀⠀⠀⠀ ⠀⠈⠀⢰⣿⡿⠀⢲⠤⠤⠤⠐⠇⠀⠸⠏⠙⠋⠛⡏⠀⠀⠀⣿⠀⣷⡀⠀⠀⠀ ⠀⠀⠀⣾⣮⡇⠀⢸⣦⣄⠀⢼⠀⠀⠀⡷⠂⠉⣹⠀⠀⠀⢠⡿⠀⠸⣷⡀⠂⠀

⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⣀⣀⣀⡀⠈⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠊⠉⠀⠀⠈⠉⠉⠉⠙⠒⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠎⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠼⠊⠘⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⢁⣠⠆⠀⠀⢰⠀⣀⣀⣀⠀⠉⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠔⠣⠚⠉⠀⠀⠐⠄⡗⠉⠀⠀⠀⠙⢢⡤⣀⠀⠈⠒⠾⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⡀⠀⢀⡖⢛⡋⢦⢾⡞⣿⠿⡄⠀⠀⠐⢹⡩⣳⢦⣠⠀⠈⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣼⣇⠃⢠⣿⠁⠀⠀⠀⠀⠀⠀⠀⢸⠀⢆⠰⡞⣧⢸⣿⡟⢧⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⠟⢸⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⣿⡆⢣⣟⣾⣿⡇⢸⡄⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⡇⢸⣿⣤⣄⣀⠀⠀⠀⢲⣿⠞⣷⣿⡷⠈⠈⠺⠇⠓⣾⡇⠀⡤⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢧⠀⠘⣇⠈⠘⢷⣞⣫⣹⠦⠀⠈⠛⠚⢉⢫⠁⠀⠀⠀⠰⣿⢿⠃⠀⡿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣄⠀⠘⡄⠠⠘⡆⠀⠀⠀⠀⠀⡀⠀⠸⡀⠀⠀⠀⠀⠀⣼⣿⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣀⠱⡀⠀⠱⡀⠀⠀⣇⣀⠤⠜⠀⠣⡀⠀⠀⠀⣠⠏⢿⠀⠀⣾⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢷⢸⠀⠙⢦⡀⣸⣿⠤⠴⢶⡞⠁⠀⢀⡴⠃⣠⠟⣆⠀⢉⣿⠶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠸⡇⠀⠀⠙⢮⣳⠒⠒⠉⠀⠀⣠⣮⡶⠛⠁⠀⠊⢲⡟⠀⠀⠈⢑⣲⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠾⠖⠒⠒⠒⠻⣍⠉⡢⣤⣤⢤⠞⢁⡞⢰⠀⢀⣠⠖⠚⠒⠤⣠⣚⣉⡺⠟⠀⠙⠒⠒⡶⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠐⢲⡁⢠⠆⠁⠙⣏⠀⠀⠀⠀⠀⣱⠤⠤⣤⠤⣦⡂⠀⠭⠿⠯⣤⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢀⣠⣼⣟⣄⠀⠀⠀⣠⣿⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⣔⣒⠭⠗⠋⠁⠀⠉⠛⠋⠙⠋⠀⠈⢪⣝⠒⠤⠤⠤⠤⠤⠀⠠⣌⣣⡀ ⠀⠀⠀⠀⠀⠀⢀⣀⣀⠼⠆⠉⠅⠇⢾⣆⡤⢤⣖⡺⠭⠗⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠈⠊⡓⠤⣀⠀⠀⠀⠀⠀⠀⡼⠉ ⠀⠀⠀⠀⠀⣰⠫⠴⠒⠉⠀⠀⠀⠒⢂⣾⠯⠟⠒⠒⠂⠒⠒⠀⠀⠠⣤⣀⠀⢠⡄⠀⠀⠀⠐⠒⠚⠦⠀⢳⡀⠀⠉⠓⠢⢤⠀⠀⢙⣤ ⠀⠀⠀⠀⢠⠇⠠⠐⢉⣁⡈⣉⣁⡲⠊⠁⠀⠀⠀⢄⠀⠀⠀⠀⠀⠀⢀⡈⠙⢧⡁⠀⠀⠀⠀⠀⠐⠠⠄⠀⠙⣄⠀⠀⠀⠀⠀⠀⠈⠋ ⠀⠀⠀⠀⣸⠀⠀⣀⡬⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠸⡅⠀⠀⢀⣤⠎⠁⠀⠀⠸⣍⡉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢣⡴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⣠⠚⠁⠀⠀⠀⠀⠀⠀⠈⠹⡓⠒⠢⠤⠤⣀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⢤⣀⠀⠀⠀⠀⠀⠈⠆⠀⠀⠀⠀⠀ ⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠂⠐⠢⢄⠀⠀⠀⠸⡙⠆⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠀⠀⠀⠀⠈⣧⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⡟⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠳⠘⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⠄⠀⠀⠊⠀⠀⡀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⢮⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠊⠁⠀⠀⠘⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠒⠤⠤⠤⠤⠤⠤⢴⠒⠉⠀⠀⠀⠀⠀⠀⠀⠑⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠶⠤⣄⣀⣤⣤⠶⠶⠋⣹⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣧⢰⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠻⣇⠘⡞⣿⣌⣧⣹⣷⠸⣇⠀⢧⣹⡄⠈⢿⢳⠈⠻⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⡿⣿⡌⢆⠀⠘⡆⠹⣿⣇⠉⡟⣿⡟⢻⣹⣏⣿⣷⠒⠚⢿⡧⠀⠹⣿⡆⢿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣆⡄⠱⠹⣿⡜⣆⠀⢹⡄⢻⡟⠀⠰⠹⠛⠉⢁⣴⣿⣿⣿⣿⣿⣿⣶⣶⣿⣧⣸⡯⠋⣹⣿⣿⣿⣿⣿⣷⡄ ⣿⣿⣿⣿⣿⠛⠁⠸⣷⣼⣿⣷⣀⠀⠀⢻⣌⡦⠜⠛⠊⠁⠀⠀⠀⠀⠀⣩⠏⠉⠀⢀⣈⣉⠉⠙⠛⢿⣿⣿⣧⣄⣿⣿⣿⣿⣿⣿⣿⣾ ⣿⣿⣿⡟⠁⠀⠀⠀⠹⣽⣷⡘⢿⣦⠔⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡀⢼⣷⣾⡿⣿⣻⣦⡀⠀⠈⢹⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿ ⣿⣿⣿⡇⠀⠀⠀⢠⣼⣷⡈⠳⡄⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠋⠉⠀⢈⣿⣿⡇⠀⠀⢹⣇⢻⣿⣿⣿⣿⣿⣿⣮⣿ ⣿⣏⠈⢻⡄⢀⣷⣋⠔⢒⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣦⡤⠤⣞⣉⣉⣠⣤⣄⢚⡏⠲⢿⣿⣿⣿⣿⣎⢿⣿ ⣷⢻⡆⠀⣹⣿⠟⣡⣶⣿⣶⣾⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠋⠉⠉⠉⢹⠛⠓⠠⠭⠭⠽⠶⠴⢿⣿⣿⣿⣿⣿⣝ ⡜⣧⠱⣾⠏⣠⣾⣿⡿⠋⢁⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢿⣷⣶⣦⣤⣤⣤⣤⣬⡿⢿⣿⣿⣿ ⣿⡌⢧⡈⣴⣿⣿⢋⣶⣶⣿⠿⣟⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢯⣿⣟⣿⣟⣉⣀⣠⣤⣾⠿⣿ ⣿⠿⣄⣹⣿⡿⢁⡾⣿⠟⠿⠀⣸⣿⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠿⣿⣿⣿⠏⠋⣻⣶ ⣾⠟⠋⣿⣿⠇⠈⣿⣷⣄⣀⡴⣻⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠟⢁⣴⣿⣿⣿ ⣿⡤⢺⣿⣿⠀⠀⠹⣿⡿⣏⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠔⢚⣷⣶⣄⠀⠀⠀⠀⠀⠀⠸⣿⣿⣷⣿⣿⣿⣿⣿ ⣇⢳⣾⣿⡿⣦⠀⠀⢠⡟⠉⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠄⠀⠀⣠⣴⣿⣍⣻⣿⣆⠀⠀⠀⠀⠀⠀⠈⡟⢿⡿⣿⡭⠭⢤ ⣿⣿⣿⣷⣄⠀⠀⣄⡻⠤⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣧⠴⢲⣾⠿⠟⠉⠀⠀⠈⠙⡿⠀⠀⠀⠀⠀⠀⡸⠀⠈⢷⠀⢀⣦⠞ ⣿⣿⣿⣿⡙⠛⠒⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣡⠞⠉⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⣰⣥⣤⣤⣼⣛⣽⠋⠀ ⠻⣿⣿⣿⣿⣶⣄⠀⠀⢀⡾⣻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠏⠀⠀⠀⠀⠀⠀⠀⢀⡴⠁⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⠃⠀⠀ ⣀⡈⠙⢿⣽⣿⣿⣷⠶⠿⣷⣿⠇⠀⠀⢠⣾⢿⣷⠀⠀⠀⠀⠈⠓⠢⠤⠤⣀⣀⣀⠠⠋⠀⠀⠀⠀⠀⠀⣰⠏⠉⠉⠙⠻⢿⠃⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡏⠀⠀⣠⣾⠧⣀⣀⡴⠛⠉⠚⣿⣛⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⡄⠀⠀⠀⠀⢀⠞⢹⠗⣄⡀⠀⣀⠜⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣷⡿⠻⠿⣷⣾⠛⠀⠀⣠⡾⠙⢹⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣣⠔⣹⠾⢿⡿⢯⣁⠀⠀⠀⠀⠀ ⣿⡿⠟⢿⣿⣿⣿⣿⠁⠀⣠⣾⣿⣤⣤⡼⣿⠁⠀⣸⠓⣶⣶⡤⠀⢀⣀⣀⣀⣀⣀⣀⣀⣠⣤⣾⣿⣿⣿⠏⢀⣼⢸⠉⢫⢣⠀⠀⠀⠀ ⠏⠀⠀⠘⣿⣿⣿⣿⣆⣰⣿⣿⣿⣿⠟⣸⣿⡀⣀⡟⢠⣿⣽⣇⢀⣀⣀⣀⣀⣀⣀⣤⣶⣿⣿⣿⣿⣿⣣⡶⡿⠒⠉⠀⢘⡀⡆⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⡟⠵⡚⠀⢈⢻⡿⠋⣴⣿⣿⣿⠿⠓⠚⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠛⠛⠛⠓⠷⠖⠛⠛⠛⠓⠁⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⠤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⠴⠚⠉⠁⠀⠀⠀⠀⠀⠈⠉⠳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡞⡥⠀⠀⠀⠀⣠⠴⢀⣠⠤⢦⡀⠀⠀⠀⠀⠀⠈⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡞⢸⠁⠀⠀⣠⢚⡥⠚⠉⠀⠀⠘⣗⡄⠀⠀⢰⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢾⠇⡎⠀⠀⣰⡳⠋⠀⠀⣠⣤⠶⠢⡿⣸⣆⠀⠈⣧⣄⢸⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⡄⢳⣠⣾⡟⠓⠆⠀⠘⠙⢀⣤⣶⢿⣤⣹⡅⠀⣿⠈⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠸⡇⣾⡛⣶⡦⠀⠀⠀⠛⢱⢼⣷⠸⠋⢣⠀⡇⣹⠛⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢱⠀⠹⣏⠉⢟⣻⣀⠀⠀⠀⠐⠛⠛⠐⠀⠘⣴⡽⣇⠀⢸⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢇⠀⠘⡄⠀⠀⢸⡁⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⢹⡀⠈⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢦⠀⢻⢦⡀⠈⠰⠶⠒⠂⠀⠀⢀⡤⠀⡇⢘⡆⢇⠀⠸⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠳⡼⡀⣟⡶⢄⡀⠀⢀⡠⠖⠁⠀⢀⡇⢸⢻⠸⡀⠀⣿⢇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠏⢳⠟⢀⠷⠈⣹⡇⠀⠀⠀⠀⣼⢣⡞⢸⠀⡇⢰⣼⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠎⣠⠋⢀⡼⠟⠊⠟⠀⠀⠀⠀⠀⣿⠀⠑⢯⣀⣇⣎⢏⡞⠀⠀⠀ ⠀⠀⠀⢀⡠⠾⠔⠓⢞⣁⣀⣀⠀⠀⠀⠀⠀⠀⠀⢻⣀⣀⣀⡈⠛⠿⠯⣀⠀⠀⠀ ⠀⠀⢠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠐⠉⠉⠉⠉⠉⣧⡀⠀⠀⠀⠀⠀⠀⠑⡄⠀ ⠀⠀⢻⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠧⠀⠀⠀⠀⠀⠀⠀⢹⡆ ⠀⠀⢸⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⡼⠃ ⠀⠀⠘⡤⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⢠⠇⠀ ⠀⣠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⡎⠀⠀ ⢠⠇⣠⡂⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠘⡄⠀⠀⡸⠀⠀⠀ ⢸⡀⠛⠄⢀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⢀⠵⠀⠀⡇⠀⢀⠇⠀⠀⠀ ⠀⢷⡀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠂⠀⠀⠀⣰⠁⠀⣾⠀⠀⠀⠀ ⠀⠀⠑⢤⣀⠀⠀⢀⣠⠴⠋⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⣀⡴⠁⠀⢠⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⢻⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠒⠒⠉⡽⠀⠀⠀⡼⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣾⠀⠐⠀⠀⠀⠀⠀⠑⢤⡀⠀⠀⠀⠀⠀⡇⠀⠀⢠⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⡄⠀⠀⢠⡀⠀⠀⠀⠀⠙⣄⠀⠀⠀⢰⠁⠀⠀⣼⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢿⣇⠀⠀⢸⠀⠀⠀⠀⠀⠀⠈⠁⠀⢀⡜⠀⠀⠀⡗⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⢸⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣿⡆⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠐⡇⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣻⠁⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠃⠀⠀⠸⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡼⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠏⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⣀⣀⢀⡀⠀⠀⠀⠀⠠⣀⠈⣇⣀⠀⠀⠜⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠶⣋⠕⢦⠾⡯⢻⣵⣦⡀⠀⠈⠙⡏⠁⠠⠋⢹⡄⠀⠀⠀⠀⠀ ⠀⠀⢀⡞⢑⣾⣋⣼⣧⡾⣧⢾⣿⣿⣿⣦⡀⠀⠈⡶⠁⠀⠀⡃⠀⠀⠀⠀⠀ ⠀⠀⢸⢀⡎⠈⢻⣇⣹⢶⣿⣸⣽⢿⣿⣿⣿⡄⢠⠁⠀⠀⠀⡇⠀⠀⠀⠀⠀ ⠀⢸⣧⣸⠀⠀⠀⠻⣿⣮⠿⠙⠏⠴⠿⣿⣿⣿⠃⠀⠀⠀⣰⠀⠀⠀⠀⠀⠀ ⠀⣸⢃⣗⠀⠀⠀⠀⠱⡈⠀⠀⠀⠀⠀⢾⣿⡯⠂⠀⠀⣸⠏⠀⠀⠀⠀⠀⠀ ⠀⣹⢢⣿⣆⠀⠀⠀⠀⠹⣦⣀⣤⣤⣤⣿⡟⠀⠀⠀⠰⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣠⣹⣿⠓⠀⠐⠢⣿⣻⣅⡸⠙⠈⠊⢓⢦⣤⣀⣼⣷⣲⣄⠀⠀⠀⠀⠀ ⢀⡟⢱⣏⣿⡇⠀⠀⠀⠠⢬⣍⣈⣀⡀⠀⠀⠳⢶⣿⣿⣿⣿⣼⡀⠀⠀⠀⠀ ⢰⢃⠘⣿⣿⢿⣦⠤⠐⠒⠒⠛⣿⠧⠀⠀⠀⠀⠠⠽⠿⣿⣿⣿⣷⡀⠀⠀⠀ ⠈⢌⢦⣘⣿⡘⣿⣆⠀⠀⠀⠀⠀⠱⢄⠀⠀⠀⠀⠀⠀⡸⠀⠉⢙⠇⠀⠀⠀ ⠀⠀⠨⡙⢿⣿⣾⣿⢧⣄⠀⠀⠀⠀⠀⠁⠢⠤⠀⠤⠒⠇⠐⠒⢻⡀⠀⠀⠀ ⠀⠀⠀⠀⠐⠈⢿⣿⣽⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣷⣀⠀⠀ ⠀⠀⠀⠀⠀⠠⢼⣻⣿⣿⣿⣿⢿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠄⠀ ⠀⠀⠀⠀⠀⠀⢸⠻⢿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⢈⠁⣹⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⡄⠀⠿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣴⣿⣿⣿⠃⠈⠛⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠘⠹⡀ ⠀⠀⠀⠀⠀⠀⠀⠐⠉⠙⠛⠋⠁⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠦⠤⠤⠤⣀⠀⠀⠀⠀⠀⠀⠀⡜⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠃⠀⠀⠀⠀⠀⠈⠑⢦⣄⣀⣠⡴⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡿⠁⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⢀⡠⠤⠒⠒⠒⠙⠒⠒⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠊⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢷⡦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡼⠅⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣌⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⢣⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⡄⢹⡄⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣀⣀⣀⣀⠿⠀⠀⠀⠈⠷⠤⣄⣀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⡇⠐⡇⠀⠀⠀⣠⠊⢠⡀⠉⠲⡄⠀⠀⠀⠀⠀⠀ ⠘⢯⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣉⣒⣦⣄⠀⠈⢦⡀⠀⠀⠀⠀⣇⢰⠇⠀⠀⡜⠁⣴⣿⣿⣶⡄⠘⢦⠀⠀⠀⠀⠀ ⠀⠀⠉⠲⢄⣀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣟⠛⣿⣿⣿⣿⣦⡀⠳⡀⠀⠀⠀⣿⡟⠀⠀⠀⠸⡀⠙⢻⣿⡿⠀⠀⣸⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣿⡷⠖⠀⠀⠀⠀⠀⢚⠻⣿⣿⡿⣿⠏⠘⢷⣶⣷⡄⠀⢸⡟⠁⠀⠀⠀⠀⠱⡀⠈⠛⠀⠀⡠⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠾⣏⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠂⠀⠀⠀⠈⠙⣏⢀⣤⣾⡴⢻⠂⠀⠀⠀⠈⠉⠒⠤⠤⠊⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣻⡉⠉⣽⠃⠀⠀⠀⠲⠀⣀⣠⡄⠀⠤⠤⠄⠈⣡⣾⠟⠁⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣿⠹⣤⡧⠤⠶⢾⣍⣉⠍⠀⣰⠧⣤⣤⡤⣶⠿⢋⣡⣄⡞⢁⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠣⣌⠑⢢⣤⡤⠤⣖⣠⡜⠁⠀⢻⣧⣍⣉⣉⣭⣶⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⡟⠁⠀⠀⠀⠀⠉⠉⠁⠺⢿⣿⣁⣴⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣷⣼⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⠟⠉⠉⠁⠒⣒⠤⢄⣀⠀⠀⠀⠀⠀⣠⣴⡶⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢯⡀⠀⠀⠀⠀⠀⠀⢠⡀⠈⠑⠢⢄⠀⠀⠋⣹⣆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⢹⣆⠀⠙⣿⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⡞⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠙⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⢿⣧⡀⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡒⠤⣷⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠈⠶⠼⢿⣷⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡄⠐⡇⠀⠀⠐⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⢹⠀⠀⠀⠀⠀⠀⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡈⢣⡀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠑⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⢀⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠙⠲⣤⣀⣀⣀⣀⣀⣀⣤⣾⣿⠛⣧⡉⠓⢶⣤⣤⢤⡴⣶⡎⠁⠀⢴⠟⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠘⢦⡈⠙⠛⢻⠉⠀⣼⠟⠀⡇⠈⠓⠤⣀⠀⠀⢣⣼⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠒⠀⠉⠉⢁⣧⠀⠀⠀⠀⠀⠙⢦⡀⠸⠀⣸⣇⠈⠀⡇⠀⠀⠀⠈⠑⠦⣈⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡴⠊⠁⠀⠀⠀⢀⠞⠁⠘⡆⠀⠀⠀⠀⠀⠀⠈⠓⠚⠁⠈⢳⠀⡇⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⠔⠁⠀⠀⠀⠀⠀⠰⠁⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⢁⣴⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⣠⣿⣿⣿⡿⣩⣿⣿⣧⡀⠐⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃⣠⣾⠟⣿⣿⡁⠀⠃⢿⣧⢻⠱⡄⠀⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠋⠀⣼⠟⢁⢰⣿⣿⡇⠄⠀⣼⠟⠈⡄⢹⡀⠀⠹⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠖⠚⠙⠲⣴⠇⣴⢃⠞⣿⣿⢀⣠⣤⡇⠀⢧⠀⠀⢣⡖⠋⠉⠑⠒⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠚⠉⠀⡆⠀⠀⠀⢀⣷⢰⠃⣷⠰⣿⣿⡈⠉⢉⡇⠀⣿⠆⠀⠀⡇⠀⠢⣄⣘⡆⠀⠉⠲⢄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡠⠔⠋⠀⠀⠀⠀⢳⡀⢤⣠⣿⡿⠘⣆⢻⢆⢻⣼⣯⢀⡿⣹⢀⡏⠀⠃⠀⠸⣦⣄⠀⠝⠁⠀⠀⠀⠀⠑⠦⣄⡀⠀⠀ ⣀⣀⡤⠔⠊⠁⠀⠀⠀⠀⠀⠀⠀⢀⣽⡿⠏⠑⠈⠀⠹⡄⠘⣮⢿⣿⠏⣰⢃⣾⡇⠀⠀⠀⠀⠀⠙⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠵⠢ ⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢾⣿⢧⠁⠀⠀⠀⠀⢻⣦⠙⣿⣿⣦⢧⣿⡿⠁⠀⡰⠀⠀⠀⠀⢼⡿⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠞⠁⠀⢻⡌⠀⠀⠀⠀⠐⣄⢹⣦⣿⣽⣿⣿⡿⢡⠃⡎⠀⠀⠀⠀⠀⣼⠇⠀⠈⠓⠤⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡴⠚⠁⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠘⣧⠈⣿⡅⠉⣿⣧⠏⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠈⠓⢄⡀⠀⠀⠀ ⠀⠀⠀⠀⢀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠘⣦⠹⡇⠀⣿⠁⡴⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠙⢢⡀⠀ ⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠘⣇⡇⢀⣿⡼⠁⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄ ⣠⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣀⠀⠀⠀⠀⠀⠀⠀⠸⡇⢸⣿⠁⠀⠀⠀⠀⠀⠀⠃⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⢠⣷⣸⡟⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠛⠋⠛⠁⠀⠀⠀⠀⠀⠀⢀⡀⠈⣻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣺⣿⣿⣿⣶⣶⣤⣴⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣦⣶⣶⣾⣶⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡿⠛⡉⠉⢻⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠁⠀⠙⣀⡀⢀⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢃⠀⢴⠕⠁⣶⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢸⣿⣾⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠉⠐⠀⠀⠈⠸⠿⠟⠻⠿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⢀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠀⠀⢸⠘⠶⠤⠖⠁⠀⠀⠀⠀⠀⠀⠠⣤⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠙⠿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠘⢆⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠚⠀⠀⠀⠂⢰⠀⠀⠀⠀ ⠀⠀⠀⠐⠀⠀⠑⠄⠂⠐⡀⠀⠉⠀⣀⡀⣀⣠⣤⣤⣶⣤⣶⣾⣾⡉⠀⠀⠀ ⠐⡀⠀⠀⠀⠐⠀⠀⠄⠱⣃⣙⣥⡀⠶⠿⠟⠛⠛⠛⠉⠁⠉⠉⠛⢏⠀⠀⠀ ⠀⠈⠂⢄⡀⠠⢤⡐⣤⣶⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠱⢡⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠆⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⡀⠀⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠒⡒⠂⠀⠂⡄⢀⠠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠚⠀⢀⠊⠰⠁⢠⡄⢰⠈⡄⢯⠉⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠐⠔⠁⡰⠃⣲⠿⡇⣸⠀⣷⡘⣧⣻⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠈⡎⠀⡿⣴⣿⡿⢠⣷⣏⣼⣿⡇⡏⣿⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢸⡇⢠⣷⠸⠿⠃⠘⠿⢿⣿⣷⡱⢁⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣯⡾⣱⣼⣿⠀⠀⠀⢀⠀⠘⢣⡿⢀⣏⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠄⣛⠛⢳⣟⣿⣧⡑⠤⡀⢉⣀⣠⣾⣷⠟⠙⠁⠀⠀⠀⠀⠀ ⢀⣀⣬⠥⡶⠊⠀⠀⠪⣥⠬⠦⠀⠉⠑⠄⠜⠛⠛⠛⢚⠻⢧⠔⢀⣂⡀⠀⠀⠀ ⣪⣴⢊⣹⠁⠀⡠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃⢔⡒⠒⠈⠄⠀⠀ ⢊⠃⣿⡟⠀⢠⠃⣇⠀⠀⠀⠀⠀⢀⡠⠐⠒⢄⡀⠀⠀⠀⠀⠀⣹⡆⠀⠈⣶⣦ ⠚⠾⠿⣁⠀⠘⡀⣧⣱⡂⠤⠒⠊⠁⠀⠀⠀⠀⠉⠒⠤⣀⣀⠴⣿⡿⠋⠀⣷⡝ ⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⡀⡴⡇⢘⠃⠀⠀⣷⠹ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢼⡂⠀⠀⢰⢿⣆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⠤⠃⠚⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣎⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⢀⣾⡿⠋⠉⠁⢠⣿⠏⢁⣿⣿⣿⠏⠉⢸⣿⡏⠉⢻⣿⣿⡇⠈⠙⢿⣿⣿⣿⣷⡆⠀⠀⢇⠢⣈⡒⡤ ⣿⣿⣿⣿⣿⣏⣴⡇⠀⠀⠀⢠⡿⠋⠀⠀⠀⣰⣿⠋⠀⣼⣿⣿⠏⠀⠀⡾⣿⠁⠀⠀⣿⣿⣷⠀⠀⠀⠹⣿⣿⣿⣿⣄⢀⣿⣷⣿⣶⣶ ⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⢠⡟⠁⠀⠀⠀⢰⣿⠇⠀⢰⣿⣿⡷⠀⣀⣜⣁⣻⣀⣀⣀⣸⢻⣿⡇⠀⠀⠀⠘⣿⣿⣷⠹⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠃⠀⠀⣠⣿⠀⠀⠀⠀⢠⣿⡏⠀⢀⣿⣿⡿⠛⣩⣿⠿⠛⢻⡏⠉⠉⢹⠉⢿⣿⡀⠀⠀⠀⠹⣿⣿⡆⠙⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡏⠀⠀⣰⣿⡟⠀⠀⠀⢀⣾⣿⠀⠀⣸⣿⡿⢥⣶⠝⠁⠀⠀⠀⡇⠀⠀⡜⠰⡀⢻⡇⠀⠀⠀⠀⢿⣿⣿⠀⠸⣿⣿⣿⡿ ⣿⣿⢿⣿⣿⡃⠀⣼⣿⣿⡇⣀⣀⣤⣾⣿⡇⠀⠰⣼⡟⣠⠎⠁⠀⢀⣠⠔⠁⢹⣀⣠⣧⣶⣦⣤⣷⣤⣤⣠⣤⠼⣿⣿⡆⠀⢹⣿⣿⣿ ⣿⣿⣿⣿⣿⠀⣼⣿⣿⣿⣏⣁⣼⣿⣿⣿⠀⢠⣾⣟⡔⠁⠀⠀⠀⢸⠁⠀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⣿⣿⣇⠀⠀⣿⣿⣿ ⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣟⣹⣿⣿⣿⡿⣴⣿⡿⠋⠀⠀⠀⠀⠀⠀⢰⣾⢟⣻⡿⠛⢻⢋⣻⣏⣱⠞⠙⣄⡀⠀⣿⡽⣿⠀⠀⢸⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠉⢘⡅⠚⠋⠉⠁⠀⠀⠀⠀⣔⣾⢏⢦⢄⣿⣧⣿⡆⠀⠈⣿⣿ ⣿⣿⣿⣿⣿⡿⢸⣿⣿⣿⡿⢻⣿⣿⡿⠋⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠟⠉⠀⢂⢻⣿⣿⣿⡇⠀⠀⢽⣿ ⣿⣿⣿⣿⣿⢃⣿⣿⣿⣿⣷⣿⣿⣿⣿⡷⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠀⢀⣠⣾⣟⡖⢻⣿⣿⠃⠀⠀⣿⣿ ⣿⣿⣿⣿⣟⣼⣿⣿⣿⣿⣿⣿⠟⣻⠿⠓⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠾⠿⠛⠉⠁⢰⢸⣿⡿⠀⠀⠀⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠋⠰⢟⣿⠌⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠇⠀⠀⢠⡇⣿ ⣿⣿⣿⣿⣿⣿⣏⠓⠓⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⠿⠿⢾⣿⡟⠀⠀⠀⣼⠃⣿ ⣿⣿⣿⣿⣿⣿⣿⣷⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠤⠤⠤⠤⠤⠄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿⠀⠀⠀⣰⠏⢰⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⢚⣡⣴⣾⣿⣿⣿⣿⡿⠿⢿⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠁⠀⠀⣰⠏⣠⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣴⡾⠋⠀⠀⠀⠀⠀⠀⠀⣃⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⣼⣿⣃⠤⠚⠚⠉⠉⠉⠙⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠉⠀⢀⡄⠀⠀⠀⠀⠀⠀⠙⢽⣿⠿⠋⠉⠁⠀⢠⡆⢰⠃⠀⠀⠀⠀⠀⠀⣼⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⡿⠁⠀⠀⠀⠀⠀⠀⠀⠈⢯⠀⠀⠀⠀⢀⡞⢠⠋⠀⠀⠀⠀⠀⢀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⣸⢠⠃⠀⠀⠀⠀⠀⢠⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡆⢠⠉⢿⣿⣿⡟⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠳⡀⠀⠀⡇⠇⠀⠀⠀⠀⠀⣠⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣼⠀⠈⢿⣿⡇⢹⣿⣿⣿⣿⣿⣿⣿⡗⠤⣀⠀⠀⠀⠀⠀⠑⢄⣀⡞⠀⠀⠀⠀⢀⣴⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣷⠀⠀⠹⢇⠀⢻⣿⣿⣿⣿⣿⣿⣧⠀⠈⠻⣷⣦⣤⣀⡀⠀⠉⠀⠀⠀⣀⡴⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠟⠀⠀⠀⠈⠳⣄⢻⣿⣿⣿⣿⣿⣿⣆⠀⠀⠈⠻⢿⣿⣿⣿⣷⣶⣴⣾⣿⣿⣿⣿⡿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣄⠀⠀⠀⠀⠀⠈⠳⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠉⡿⢿⣿⣿⣿⣿⣿⣿⣿⡿⢱⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠤⠤⠒⠒⠒⠒⠒⠐⠠⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠠⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⠉⠉⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠒⠒⠒⠒⠒⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⡖⠉⠀⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⡀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠀⠀⠀⠀ ⠉⠻⠧⣀⣀⡀⢹⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠁⠀⣴⠞⡟⢣⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠎⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠟⠒⢂⣤⣼⣠⣇⠈⠳⣌⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠔⠁⢠⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⡎⠁⠘⠀⠹⡗⢦⠈⢻⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀ ⠒⠂⠉⠀⠀⠀⠈⣇⣀⡀⠀⠀⠀⠀⠀⢀⣾⠁⠀⠀⣀⠾⠀⠀⠆⠠⢠⢇⣼⠀⠈⠻⡈⠂⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⡜⠋⠀⠈⠳⣄⠀⠀⠀⠛⣸⠀⡠⠊⠁⠀⣠⠾⣶⣤⣤⣎⠈⣦⡀⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠤⢤⣶⡲⠚⠣⣌⠢⡀⠀⢀⢿⠇⠀⠀⢸⠇⠸⠀⠀⠀⠀⠙⣀⢰⣋⣀⣾⠂⠈⣿⠦⠀⢸⡀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⢮⡆⠀⠈⠀⠈⠓⢀⠎⠀⠀⠀⠘⢧⠀⢀⣶⡀⠀⢠⣟⣤⣭⡿⡇⠀⠀⢸⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠻⡄⠀⠀⠀⣰⣏⠀⠀⠀⠀⠀⠺⣧⠀⠈⢳⡀⢻⢹⣿⣿⣙⣧⠀⠀⠀⠳⡀⠀⢹⡇⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⣀⡴⠊⠀⠈⠳⢄⠀⠀⠀⠀⠘⡆⠀⠀⠈⠚⠾⢿⣻⣅⡿⠤⢤⡀⠀⠈⠀⠀⣇⢀⣠⡄⣀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠑⠢⣀⠀⠀⠈⠢⠄⠀⠀⢤⡄⠀⠙⣆⠀⠀⠈⠑⠂⣀⣴⣿⡥⠀⠀⢄⠈⠲⣄⠀⠀⠀⠀⠀⠀⠀ ⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠦⣀⠀⠀⠀⠀⠀⢸⠀⣄⠘⣃⠠⠒⠈⠉⠁⠸⣇⠀⠀⠀⠀⠂⠀⠈⢢⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡶⠋⠉⠁⠀⠀⠀⠀⡀⠔⠛⢦⡀⠀⠀⠀⠀⠀⠀⠣⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠉⠀⠀⠀⠀⠱⡄⠀⠀⠀⠀⠀⠀⠑⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠤⠤⠄⠀⠀⠀⠀⠀⠀⠀⢱⠀⢀⣴⡶⠋⠀⠀⠀⠈⠢ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠔⡺⢻⣷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⡽⠩⠂⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⡀⠀⠀⠀⠀⠀⠀⠀ ⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠉⠒⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⢴⠃⠐⠢⣝⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢆⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀

⠀⠀⠀⠀⠐⠿⣟⡫⢂⠝⣆⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠛⠛⠛⠛ ⠀⠀⠀⠀⠀⠀⠈⠻⡿⢶⣶⣤⣄⣈⡒⠄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⡄⠉⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⢂⠈⠲⡍⠙⠛⠻⠶⢶⣤⣀⡀⠀⢀⡀⠠⡈⠀⠀⢦⡜ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡀⠀⢠⡀⠁⡀⠀⠀⠈⠙⠟⠻⢶⣶⣬⣁⡀⠛⠈⣇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠈⣇⠆⠌⣷⠶⠀⡰⣨⠕⠊⢉⠝⠉⠉⠀⢀⠨ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠎⠌⢰⡟⠠⡵⠊⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠀⠀⡝⠁⠸⠁⠀⠰⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠁⠀⠰⠀⠀⡞⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠘⠀⠀⠇⠀⡠⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⢀⣾⡇⡼⢀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⣠⣴⣥⠴⠋⢸⣿⣧⠏⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⢿⣿⣿⣯⣽⣿⣿⣿⠓⣒⠻⠿⢧⣀⣬⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⢰⣿⠋⣟⣡⣴⣵⣿⢹⡿⠘⣿⣟⣍⢣⠳⡲⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣿⣿⣾⡹⣿⣿⣏⣿⣿⠇⠀⣿⢿⡟⡟⡗⣷⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⣿⣿⡇⡟⣿⢿⣥⡏⢗⠰⠀⠙⣻⣧⣇⣷⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⣿⢸⡇⠁⠑⠾⠿⠃⠀⠀⠀⣾⣿⢻⢟⣿⠟⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⣿⣿⣾⣇⡄⡄⠀⠀⠀⠀⡄⠀⠈⠉⢁⣠⣿⠀⢹⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⣿⣿⣿⣿⣿⣷⣴⡀⠀⠀⣤⡥⠀⠀⢀⣼⣿⣿⡄⡏⡀⠀⠀⠀⠀⠀ ⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡇⠙⢆⠀⠈⠀⣠⣴⣿⣿⣿⣿⡇⢃⡇⠀⠀⠀⠀⠀ ⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠁⠠⡀⠉⠒⠁⢸⣿⣿⣿⣿⣿⣧⠸⢠⠀⠀⠀⠀⠀ ⢠⡿⠟⠛⠛⠛⢻⡿⠛⠁⠀⠀⠥⡀⠀⢰⠀⣙⣻⡿⡿⠿⠿⠤⠿⣆⠀⠀⠀⠀ ⡟⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠈⠉⠁⠁⠀⠀⠀⣇⠀⠀⠀⠀⠈⢷⠀⠀⠀ ⠃⠀⠀⠀⠀⣤⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⡀⢢⠄⠀⠈⡇⠀⠀ ⠀⠀⠀⠀⢰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠻⢿⣄⠀⣇⠀⠀ ⡇⠀⠀⠀⡺⠁⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠦⣯⡆⠀ ⡇⠀⠁⢸⠁⠀⢁⣴⡒⢄⠀⠀⠀⠀⠀⢠⠅⠂⠄⢀⠀⠀⠀⢀⢰⣂⣶⠹⡜⡀ ⣿⠀⠀⣼⠀⠀⠘⠬⡧⠊⠀⠀⠀⠀⠀⢸⢌⡀⠀⠀⠀⠉⠁⠀⠈⠳⠾⠄⣿⡅ ⣿⡆⠀⡟⡀⠀⠀⠀⠀⠈⠒⠄⠀⠠⠒⠇⠈⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠿⢷ ⣿⣧⢰⠃⠡⣀⠀⠀⠀⠀⠀⠀⠀⢀⠎⢠⠐⢈⠢⡀⠀⠀⠀⠀⠀⠀⢀⣼⡀⠈ ⡿⠋⠸⡀⠀⠀⠵⠤⠤⠤⠤⢀⢊⠀⡠⢂⡀⠠⣅⠘⠒⠲⠦⣴⠚⣻⣿⣿⡇⠀

⠀⠀⠀⠀⠀⠀⠀⣀⣤⢤⣤⣄⣀⣀⣀⣀⣠⣤⡀⠀⠀⠤⠤⠄⠀⠀⠀⠀⠀⠀⠤⠤⠤⠤⢤⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡴⣪⠃⠀⠀⣠⣶⣶⣦⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣾⡽⠁⠀⠀⣰⣿⠃⠀⠀⠈⠉⠙⠛⠛⠛⠶⠤⢤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀ ⠀⢠⡾⣟⣿⠇⡀⢀⣾⢫⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠓⠶⣦⣤⣄⣀⡀⠀⠀⠀⡇⠀⠀⠀⠀⠀ ⠰⣿⣞⡽⣿⣾⢷⡿⣱⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⠦⣄⣀⠀⠱⠀⠀⠀⠀⠀ ⠐⣿⣡⣾⡋⠹⡆⠿⣧⡄⣀⣀⣀⡀⠘⢶⣤⣤⣤⣤⣤⣄⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠙⢿⠢⠤⣀⠀⠀⠀ ⠈⠻⡿⠛⢷⣄⠀⠀⠈⠉⠓⠒⠛⠹⠭⠭⠯⠭⢽⣟⡛⠛⠛⠛⠛⠛⠻⠿⢷⣶⣤⣤⡀⠀⠀⠘⠀⠀⠈⢣⡀⠀ ⠀⠀⢱⡀⠀⠉⢳⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⠀⠀⠀⠀⠙⠒⠦⢄⣉⣓⠿⢕⣦⣀⠀⠀⠰⣾⣿⡦ ⠀⠀⠘⣇⠀⠀⠈⠳⣝⣂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣌⠻⢦⠀⠀⣹⡙⡟ ⠀⠀⠀⢸⠀⠀⠀⠀⠈⠉⠉⠒⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢬⣟⣖⣿⡘⠂ ⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⢀⣀⣀⣤⣴⣶⡾⠿⠥⠤⠤⢄⣀⣀⣀⡀⠀⠀⠀⠈⠉⠷⢿⣿⠗⠀ ⠀⠀⠀⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠀⠀⠀⢀⣀⡼⠏⠀⠀ ⠀⠀⢸⡟⣿⠀⠀⠀⢀⡤⠴⠒⠒⠲⠦⠤⣤⣤⣄⣀⡀⠀⠀⠀⠀⡀⣀⡤⠴⠂⠀⠀⠀⠖⠒⢻⡟⠉⠀⠀⠀⠀ ⠀⠀⣿⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠛⠛⠿⠷⠖⠒⠀⠉⠁⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀ ⠀⠀⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠄⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⡿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠑⠒⠒⠀⠒⠒⠊⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⡇⠀⢀⣀⡠⠆⠀⠉⡉⠉⠉⠙⠒⠶⠶⠤⠤⠤⠤⠄⠀⠀⠀⠀⢀⡀⠀⠀⢀⣤⣾⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢳⣾⣫⡥⠴⠚⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣶⣄⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣾⠟⠉⠀⠀⠀⠀⠀⣤⠤⠴⠶⠶⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠪⡷⡀⢹⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠙⠛⠯⠉⠀⠀⠀⠀⠈⢻⡾⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣷⣶⣤⣤⣀⠀⠀⠀⠤⠤⠤⠿⠷⠶⠒⢛⣋⣉⣉⠓⠀⠀⠀⠀⠀⠀⠀⠀⢀⡐⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣿⡟⢿⣿⣿⣶⣤⣤⣤⣤⣴⡶⠖⡿⠛⠛⠛⠿⣿⣿⣶⣶⣄⠀⠀⠀⠀⠈⡧⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⣷⡄⠀⠉⠉⠛⠋⠉⠉⠀⢀⠞⠁⠀⠀⠸⡀⠀⠀⠉⠉⠛⠿⠿⠶⠶⢚⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣿⣿⣦⣄⣀⣀⣀⣀⡤⠞⠋⠀⢀⠀⠀⢀⢻⣦⡀⠀⠀⠀⠀⠀⠀⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⡿⠟⠛⠛⠉⠉⠀⠀⠀⠀⡜⠀⠀⠘⣆⠙⢿⣶⣤⣄⣀⣤⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠋⠀⠀⠀⢀⡾⠀⠀⠀⠀⢸⡇⠀⠀⠀⠈⢆⠀⠈⠹⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠘⣧⠀⠀⠘⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢳⡀⠀⠀⢀⠏⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠈⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣇⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⡇⠀⠀⠀⠀⠀⠀⠀⢀⣤⡄⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠈⢦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⢈⣿⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢀⣴⠟⢹⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠈⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⣠⡶⠟⠁⠀⠘⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣇⡀⠀⠀⠀⠀⠘⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡶⠟⠋⠀⠀⠀⠀⢰⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠉⠛⠷⠶⣶⣦⣽⣿⣷⣄⣀⣀⣀⣀⣀⣀⣀⣤⣶⣶⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⡛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣻⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣛⠋⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⡐⡉⠉⠁⠺⡹⢢⣀⠀⠀⠀⢀⠤⠤⠄⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠻⠇⠀⣧⡦⣦⣠⡐⠒⠲⡥⠀⠀⠀⠈⠁⠂⠀⠀⠙⠲⢂⠀⠀⠀⠀ ⠀⠀⠘⢃⠂⠁⠠⠊⠀⠀⠉⠃⢌⠁⠀⠀⠀⠀⠀⠀⠈⢆⠀⠐⢸⡆⠀⠀⠀ ⠀⠀⢠⠇⠀⠀⠦⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⣰⠃⠀⠀⠀ ⠀⠀⢸⢠⣺⠎⠲⠵⣶⠔⢠⠐⠤⠎⠀⠀⠀⡠⡰⠂⢉⢇⠠⠐⠚⣒⠢⢄⠀ ⠀⢠⠂⣿⣳⠀⢀⣾⠛⡷⠸⠇⠀⢌⣄⠀⢌⡞⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠡ ⠀⡇⠀⢸⠟⠗⠈⢛⠓⠁⡏⠀⢆⠈⣿⣰⠊⢄⡀⠀⢀⡠⠪⠁⠀⠀⠀⠀⠀ ⡄⢻⡀⡏⣲⣆⣂⡉⢱⢰⠄⠂⠨⢠⠃⠤⡙⠂⠒⠬⡀⠀⠃⠀⢰⠂⠀⠀⠀ ⠻⡂⠈⢩⠁⠈⠉⣽⣷⠖⢣⠠⢥⠗⠀⠀⠀⠁⠀⠀⠐⠄⡠⣔⠁⠀⠀⠀⠀ ⠢⡘⠦⡘⠀⣠⣾⠋⢙⡎⠃⠈⡆⠀⠀⠀⠀⠀⢀⡠⠂⠃⠀⡇⠉⠁⠀⠀⠀ ⠀⠈⢑⠒⠊⠉⢨⡆⠀⠀⢂⠀⠀⠀⠀⠀⢰⠔⠁⠀⢸⣀⡀⠅⠀⠀⠀⠀⠀ ⠀⠀⡎⠀⠀⢀⢧⠀⠀⠀⠈⠀⡄⠀⠀⠠⠛⠂⠄⡄⠓⠠⠄⣸⠀⠀⠀⠀⠀ ⠀⠰⠀⠀⠀⡘⠌⢄⣀⡀⣰⢀⠀⠀⠀⠸⢄⠀⠀⠀⠀⠐⠀⠺⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⢕⠠⣀⠑⣯⣡⡏⠀⠀⠀⣦⣀⠉⠑⠦⡀⠀⠀⠀⠈⠁⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠄⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡀⣤⠄⢀⠔⢀⠀⠀⠀⠸⠈⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠂⠁⠌⠀⢀⠂⠀⢸⢀⠀⢀⣰⠀⠀⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠀⠀⠤⢀⢼⠀⣀⢀⣪⠗⣪⠦⠠⢀⣸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢆⠀⡀⠄⠒⠒⠉⢀⠦⠬⠙⠃⠒⠠⡄⠀⠀⠡⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡀⠔⠋⠀⠀⠀⠀⣰⣕⡀⠀⠀⠀⢀⣐⣴⠀⠀⠀⠈⠒⠢⢄⡀⠀⠀⠀ ⠈⠁⠀⠀⠀⠀⢀⠠⠄⢲⠁⢟⢟⡇⠀⠀⣿⣿⠃⢳⠤⠀⡀⠀⠀⠀⠈⠁⠂⠤ ⠀⠀⠀⠀⠀⢊⡣⠂⢒⠊⠐⢠⠵⠃⠊⠑⠷⢃⠔⠛⠒⠢⢔⠅⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⡣⠐⠒⢪⡄⠀⢄⢱⠤⣅⡠⢤⡡⠂⠀⡰⠀⣀⠧⡀⠀⠀⠀⠀⠀ ⠀⠀⢀⠔⡙⠀⠀⠀⠀⠉⠂⢄⠹⡟⠈⠑⣼⠁⠀⣔⠕⠊⠀⠀⠑⡀⠀⠀⠀⠀ ⡠⠔⠁⢰⠀⠀⠀⠀⠀⠀⠀⠀⢹⠃⣀⣀⡹⡒⠈⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀ ⠀⠀⠀⢀⠀⠀⠀⠀⠀⢀⠠⠒⠁⠽⠻⠛⠻⠘⠑⠀⡀⠀⠀⠀⠀⠀⠀⡈⠢⡀ ⠀⠀⠀⠘⡄⠀⠀⡠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⡰⠁⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣏⠻⡝⡆⠘⣇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠽⣜⢦⠱⡘⠀⠟⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⢇⣉⠽⠿⠟⠛⠻⣾⣧⣃⠳⠎⠀⢻⣳⣿⣿⣿⣿⣿⣿⣿⣿ ⣸⣿⣿⣿⣿⣿⠟⡩⠒⠉⠀⠀⠠⠀⠀⠙⠻⢶⣇⠡⡿⣿⣿⣿⢿⣿⣿⣿⣿⣿ ⠈⢿⣿⣿⡿⠡⠊⠀⠀⠀⠀⠰⠁⠀⠀⠀⠀⠀⠉⢿⣿⣿⠿⠚⠛⠻⣿⣿⣿⣿ ⣰⠖⠛⠉⠁⠉⠉⠒⠢⢤⡀⢳⠀⠀⠀⠀⠀⠀⢀⣾⠉⠈⠀⠀⠀⠀⠀⠹⣿⣿ ⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡀⠀⠀⠀⢤⣴⣄⡀⠀⠀⠀⠀⠀⠀⢀⣿⣿ ⣿⣄⠀⠀⠀⠀⠀⠀⠀⣀⠄⠀⠀⠈⢢⡠⠃⢸⣹⠊⠸⠀⠀⠀⠀⠀⠀⢸⣿⣿ ⢼⣿⣶⣶⡶⣂⡴⠖⠋⠀⠀⠀⠀⡠⡲⠃⠑⢸⠣⠀⣀⠤⠒⢊⠁⠀⠀⠘⣿⣿ ⣰⣿⣿⠿⡿⠋⠀⠀⠀⠀⠀⡠⣪⠞⠀⠀⠀⠀⠁⠈⢃⠀⠀⠀⠀⠀⠀⠀⠈⢿ ⣿⣿⠟⠘⠀⠀⠀⠀⠀⣀⡴⣾⣇⠀⠀⠀⠀⠀⠀⠀⢘⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⣯⣥⣴⣶⣶⣶⢶⡾⠛⢻⣏⢻⡾⠀⠀⠀⡖⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⣿⣿⡿⠋⢿⣧⠈⢱⡀⠘⣿⢏⠀⠀⠀⠀⠀⠀⣶⣶⣻⡀⠀⠀⠀⠀⠀⠀⠀⢸ ⣿⣿⣫⣦⣄⣿⡞⠙⡇⢰⠏⠀⠑⠢⢄⡂⠤⠚⠙⢯⢿⣧⠀⠀⠀⠀⠀⠀⠀⣸ ⣿⣿⣿⡯⠟⣿⣿⣿⠀⢸⠀⠀⠀⠀⠈⠁⠀⠀⠀⠈⣾⣾⣧⡀⠀⠀⠀⠀⢀⣿ ⣿⣿⣿⢇⣾⣿⢃⣬⡇⢸⣆⢀⠀⡀⡸⡀⠀⢀⡀⣼⢿⣿⣿⣿⣄⠀⢀⣠⣾⣿ ⣿⠟⠋⠻⠉⠱⠻⣿⢧⡏⣿⡑⠙⣁⠀⠀⠑⢙⡿⠋⣾⣿⣿⣿⣿⣷⣽⣿⣿⣿ ⣇⠀⢀⣀⠀⠀⠈⢸⠛⠡⣿⣷⣴⣷⣦⣤⣤⣾⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣦⣄⡀⠐⠂⠀⣈⡇⠠⣿⣿⣿⣿⣿⣿⣿⣿⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⣿⣿⣿⣿⣿⣿⣿⣿⡇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣗⣿⣻⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⣦⡤⢀⡈⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈ ⠀⠀⠀⠀⠀⢀⢤⡾⠋⢠⣶⣧⢳⡤⣈⠵⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀ ⡀⠀⠀⠀⣴⢟⣟⠒⠉⠉⡙⠿⣿⣿⡦⡉⠲⡦⠵⣄⠀⠀⠀⠀⠀⡀⠆⡏⠀⠀ ⡄⠀⠙⡿⣁⡘⣧⣣⡀⢀⠈⢢⣬⣟⠀⠉⢤⡈⢾⢮⡛⢤⡀⠀⢘⡎⠀⡇⠀⠀ ⠑⢄⠀⡏⢮⣟⣿⣧⡐⡀⠢⠀⠹⣾⡆⠈⢙⣹⣄⣄⣿⡦⢭⣷⡾⢄⠀⡇⠀⠀ ⠀⠈⠳⢹⠘⣿⠿⠿⠃⢱⡀⢁⢆⠇⠱⠿⠛⠉⢱⣫⠫⡛⠆⠋⠹⣤⡏⣇⠀⠀ ⠀⢀⢴⡆⡆⠱⡑⣀⡐⠹⣵⣟⠢⠠⠀⠠⠂⠀⡸⢕⠱⠘⠀⣤⡀⢹⡄⠡⠦⢄ ⢰⣏⠟⡱⠐⡀⠹⡚⠱⣶⡿⠋⠀⠀⣠⣴⣶⣦⡅⠀⠃⠀⠀⢸⣿⡯⣦⣶⣬⡄ ⣌⠛⣸⠁⠱⡐⡀⠱⣾⣃⠀⠀⠀⠀⣿⣿⠏⠀⣹⠀⠀⠀⠀⠠⡏⠙⣼⠐⡤⢶ ⠈⠺⣿⠀⣶⠇⠘⡄⢹⡣⠱⣫⠢⠀⠘⠻⣴⣶⠟⠄⠀⡄⠀⠀⠓⣼⠶⠷⢒⡃ ⠀⠀⠙⣀⡏⠘⡨⢻⡌⣡⢑⠌⠀⠑⠠⠄⡀⠀⠡⢀⢰⣿⣦⣀⠀⠀⠉⠐⠩⢀ ⠀⠀⠀⠘⣷⢄⠹⣁⢹⢆⠙⢶⣄⡀⠀⠀⠀⠐⡞⠛⠛⠉⠉⡇⠑⢠⡀⠀⠀⠀ ⠀⠀⠀⠀⠈⠃⠥⡀⠈⢫⢢⠈⢖⣒⡷⠦⠀⠀⠰⠠⠄⠀⠀⠀⠀⠂⠀⠁⠢⠄ ⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠉⠱⡀⠡⡼⠀⠀⠀⠀⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢄⠀⢸⢄⠈⢢⣠⠀⠀⠘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠠⡀⠀⠀⠀⠀⠑⡇⠀⠑⠚⠚⠀⠀⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠉⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠋⡉⠛⠿⡷⣦⣤⣴⣶⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⠈⢱⠀⢠⡀⢠⣬⡟⢙⣻⢁⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⠣⢽⡇⢠⡿⣌⠻⣿⣃⣸⠟⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣤⣼⠃⢸⢻⠈⢳⠃⢙⣹⣴⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣇⢸⡀⠀⡄⠀⠈⠓⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠛⠛⡫⠛⠓⠶⣶⡒⣚⣛⣿⡀⢀⠀⠀⠀ ⠀⠀⠀⠀⢀⡖⠑⣄⠀⡇⠀⣸⠀⠀⠀⣄⠀⡇⠀⠀⠀⠻⣽⠃⠀⠀ ⠀⠀⠀⠀⠀⠳⠚⠁⡆⠑⠦⣹⡄⠀⢠⡏⠣⢹⣄⠀⠀⠀⡟⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⠧⠔⠧⠄⣀⠀⡇⠐⠛⠛⠓⠾⠿⣷⠔⢈⠀⠀⠀⠀ ⠀⠀⠀⣰⣡⣇⣀⣀⣀⣰⡁⠉⣳⣄⣀⣀⣀⣀⣀⡍⣇⣠⠇⠀⠀⠀ ⠀⠀⢀⠹⠋⠉⠀⠀⠀⠀⡩⠛⠉⠁⠀⠀⠀⠉⠙⠛⠿⢀⠀⠀⠀⠀ ⠀⠔⠁⠀⠀⠀⠀⠀⢠⠎⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀ ⡌⠀⠀⠀⠀⠀⠀⣰⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀ ⡇⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠆ ⢡⠀⠀⠀⠀⠀⠀⠻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠶⠶⠶⡇ ⠸⡓⠤⣀⠀⠀⢀⣀⣹⡂⠄⠀⠀⠀⠀⠀⢀⣀⠤⠊⠀⠀⠀⠀⠙⡇ ⠀⢣⣠⣤⠼⠟⠛⠛⠉⢹⠛⠓⠒⠒⠚⠛⠷⠤⠤⣤⣀⡀⠀⠀⠰⠁ ⠀⢀⠁⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢳⠁⠀ ⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠁⠀⠀ ⠀⠀⢃⠀⠀⠀⠀⠀⠀⠀⡨⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀ ⠀⠀⠈⠢⢀⣀⣀⣀⡀⠔⠁⠈⠢⠀⣀⠀⢀⣀⠀⠤⠊⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠋⢉⠉⠀⠁⠀⠀⠀⠀⢉⣉⣃⣈⣹⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣯⠿⠛⠛⠓⠶⣭⡀⠀⠀⠀⠀⠀⢀⣴⠛⠉⠀⠀⠀⡈⠙⠻⣿⣿⣿ ⣿⣿⡿⠋⡠⠀⠀⠀⠀⠀⠀⠙⣦⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠰⢹⠄⡘⢿⢻ ⢫⢟⠀⠁⠀⠀⣠⠤⠐⠠⢄⠀⣸⠀⠀⠀⢀⣷⣀⠔⡨⠭⠥⡢⠉⡏⠉⠈⠺⡇ ⣼⠁⠀⠀⠀⡼⠁⡴⢉⣦⡴⢞⠉⠓⠀⠀⠈⠀⢮⣛⠲⠦⣄⣸⢀⠤⠀⠀⢠⡇ ⠸⣆⠀⠀⣀⣧⠶⠛⠉⠀⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⠶⠶⢻⣀ ⣰⠟⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾ ⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠿⠛⠋⠉⠁⠉⠚⠃⠀⠀⠀⠀⠀⢀⣠⣴⣿⠟

⠀⠀⠀⠀⠀⠈⠂⢵⢮⡯⣼⡿⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡌⡸⣜⣿⣟⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠃⠇⠈⡔⠤⠠⠟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡟⣸⠀⠱⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠼⠠⢄⡁⣠⠑⣢⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⢀⣆⡇⠀⠢⡋⠛⠠⡀⠀⠀ ⠀⠀⠀⠀⠰⠁⢀⣞⢻⠀⠠⠆⠈⣄⠀⢸⠆⠀ ⠀⠀⠀⢠⠃⠀⡎⠰⡈⢳⠥⠤⠛⢹⡖⠉⠀⠀ ⠀⠀⠀⠘⣅⠀⠁⠂⢧⣀⠀⠀⠂⡇⢃⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⡩⠟⢺⡄⠓⡦⢠⣇⠘⡆⠀⠀ ⢸⡑⠂⠤⢄⠎⠀⠀⠸⣸⣿⡿⣸⠘⢆⠘⡀⠀ ⢯⠉⢒⡒⡯⠅⠀⠀⠀⠉⠉⠁⠛⠢⢀⣣⢡⠀ ⠀⠚⠁⠴⢿⡈⠁⠒⠂⠀⠀⠀⠀⠀⢀⡈⠙⢤ ⠀⠀⠀⠀⠀⠙⠠⠤⠤⢤⣤⠖⠉⠉⠈⠀⡠⠏ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⢔⠃⠀⣀⣀⣴⠊⢡⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢳⡞⢹⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡼⠃⠀⠀⠀⠳⡀⠀⠣⣀⣠⡤⠴⠶⠶⠶⠦⠤⠀⠀⠀⠄⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠀⠀⠀⠀⡀⠀⠀⠙⢦⡠⢿⣁⠤⠒⠒⠈⠉⣉⣉⣉⣉⣉⣉⣀⠀⠒⠒⠠⢌⣑⠢⣀⠀⠀⠀⣰⢻⠀⢸⠀⢰⠀⠀⠀⠀ ⡀⠀⠀⠀⠘⡆⠀⠀⠀⢇⠀⣠⠖⣩⠴⣫⣷⣪⣿⡛⠋⠉⠀⠀⢀⣴⡀⠀⠀⠉⠛⠺⣷⡢⠄⡑⠢⢝⠢⣜⠁⠈⠀⡼⠀⡏⠀⠰⠀⠀ ⡅⠀⠀⠀⠀⠹⡄⠀⠀⢸⠞⣡⠞⣡⢞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣀⡻⣷⣌⠙⠢⡉⠢⡙⣆⢠⠃⢸⠀⢀⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⡀⠀⣾⢠⡇⣸⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣪⣷⡄⠈⢂⠹⢸⡎⠀⡇⠀⡜⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠉⢹⣼⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡄⢸⢸⢸⡇⣠⣁⢸⠁⠀⠀⠀ ⡆⠀⠀⠀⠀⢀⡞⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣾⣼⣏⠀⠀⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣿⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠈⡆⠀⠀⠀ ⢀⣴⣠⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠻⣿⣿⣿⣎⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣇⠀⠀⠀ ⣿⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣧⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⠟⠲⣄ ⡈⠓⢦⡀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠘⢇⡠⠴⠒⠉ ⠙⢦⡀⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢿⣿⣿⣿⡟⣿⣿⣿⣿⢿⣿⣇⣯⡟⢸⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠈⢧⠀⠀⠀ ⡀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⠿⣿⣿⡏⢻⣿⣿⣿⣼⡟⢈⡿⢳⡿⠃⠺⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⢧⢀⣠ ⣿⣦⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣄⣖⣻⣇⠀⠹⣿⣇⡾⠁⠘⠁⣏⣤⣠⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⢻⣿⣿⣟⢙⣮⣽⡿⠛⠇⠀⠘⢿⠁⠀⠀⠟⠿⣿⡯⣋⠙⢹⣿⣿⡏⢹⣿⣿⣿⣿⡿⠛⣁⣤⣾⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠙⣏⠛⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠞⡟⡿⠋⢹⣿⣿⠟⣁⡴⢛⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⣼⣿⣟⣴⠋⠛⠾⣿⣿⣿⣿⣿ ⣿⣿⡿⠿⡿⣿⣿⡈⢿⣿⣿⣿⣿⣄⠀⠘⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⠀⠀⣸⣿⣿⣯⣧⡀⠀⠀⠀⠙⢿⣿⣿ ⠟⠁⠀⠀⠃⢿⡾⣧⠈⢿⣿⣿⣿⣿⣦⠔⠉⠻⣦⠀⠀⢀⣴⣶⣤⣶⣄⠀⠀⠀⠀⣠⡾⠃⠀⣀⡼⣿⣿⣿⣿⠁⠙⢦⡀⠀⠀⠀⠙⢿ ⠀⠀⠀⠀⠀⠘⣷⢻⡀⠀⢻⣿⣿⣿⣿⣦⠤⠤⢬⢷⣦⣀⡛⠭⣉⡭⠟⠀⣀⣤⣾⣽⣥⢴⢾⠋⢀⣿⣿⣿⣿⠀⠀⠀⠙⠶⡄⠀⠀⠀

⠀⠀⢀⠚⠁⢀⣬⣴⣿⣶⣟⠯⠷⠶⢵⣀⡼⣍⠁⠈⣿⣼⣄⠀⠀⠀⠀⠀ ⠀⠀⡄⣠⣶⠟⠋⠉⠉⢐⣀⠈⠁⢰⣾⣟⠢⠄⣀⠉⠙⠻⢆⠱⠀⠀⠀⠀ ⠀⠀⢝⣿⠍⣠⢊⠉⠁⠀⠀⠀⠈⠉⠀⠉⠉⠁⠉⠉⠐⠒⠉⠷⢧⠀⠀⠀ ⠀⠸⢸⣇⢸⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠢⡄ ⠀⢀⠸⠹⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱ ⠀⠸⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸ ⠀⢰⠀⠀⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃ ⠀⠀⠀⠀⠈⣯⣀⣀⣀⣀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⠠⢄⣀⣔⡾⠁⠀ ⠀⠀⠀⠀⠀⠘⣿⡰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡹⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⡇⠀⠀ ⠠⠀⠀⠀⠀⠀⡈⠈⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⢇⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣸⠀⠀ ⠀⠀⠀⠀⠀⢀⠁⠼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡇⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠤⠄⠀⠤⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡖⡁⠀⠀⡀⠀⠀⠀⠈⠐⢄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⣿⣿⠀⢠⡎⠀⠀⠀⠀⠀⠀⠈⣷⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⣿⣿⣿⣄⣾⣥⠎⠀⢀⣸⣀⠀⣤⣼⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⣽⣿⣿⣿⣷⣦⣼⠁⣿⣶⡿⣿⢿⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠿⠘⡟⠻⠛⠐⠿⠿⣃⡟⣘⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠉⣿⣿⡇⡔⠛⡓⠀⠀⠀⡠⢤⡀⢹⡟⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣷⣿⣿⡇⠈⠊⠀⠤⣤⣀⠦⠂⢀⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⢻⣿⣿⣿⣄⠀⠀⠀⠈⠀⠈⠁⢀⣾⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡸⣟⣿⣿⣿⡌⠲⣄⠀⠀⠀⣀⠤⠞⢿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣡⠼⠛⠉⢻⡧⠀⠙⠷⢶⠈⠁⠀⡠⠐⡏⠀⢡⡀⠀⠀⠀ ⠀⡰⠊⠁⠀⠀⠐⠠⠼⣇⠱⠀⠀⠈⡠⠒⠈⠀⢰⠃⠀⢸⡇⠀⠀⠀ ⠰⣇⠀⠀⠀⠀⠀⠀⠀⠹⠈⠉⠀⠀⠀⠀⠀⠀⠁⠀⢀⣾⢸⠀⠀⠀ ⠀⡟⣷⣦⡀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠨⠀⠀⠀⠀⠀⠈⢿⣿⢄⠀⠀ ⠀⢸⠰⡪⣻⣆⠀⠀⠀⠀⠀⠀⡠⠊⠀⠀⢀⠀⠀⠀⠀⠀⠙⢤⡄⠀ ⠀⠀⡇⡐⡙⣾⡆⠀⠀⠀⡠⠮⠤⡀⢀⠁⠀⠀⠀⠀⠀⠀⠀⠄⠑⡀ ⠀⠀⠸⠘⣈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠑⡧⠀⠀⠀⠀⠀⠀⠀⠈⠀⠡ ⠀⠀⠀⢻⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠈⡄⢃⠀⠀⠀⠀⠈⠀⠀⠀⠀⢸⢆⣀⠀⠀⠀⠀⠀⠀⠀⠌ ⠀⠀⠀⠀⠘⡈⡄⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠑⠀⠄⡀⠄⠂⠀ ⠀⠀⠀⠀⠀⠡⠈⠢⣀⠀⠀⠀⠀⡀⠔⠁⠀⢀⠤⠆⠡⠔⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢣⠀⠀⠉⠀⠀⢈⡀⠤⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠒⠀⠒⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⡟⠛⠛⠛⢻ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠒⠀⠀⠉⠓⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠈⠄⡠⢀⣀⢠⣆⢄⠀⠀⠀⠀⠀⣤⡄⠀⠀⢸ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣠⡞⣤⣧⣿⢹⣎⣿⣿⡼⣼⠀⠀⠀⣿⡇⠀⠀⢸ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⣸⢠⣿⡇⣿⣿⡟⠀⠙⣷⣿⢀⣿⠀⠀⠀⣿⡇⠀⠀⢸ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⢹⠁⠻⢷⣼⡌⠀⠀⠀⠁⣾⣼⣿⠀⠀⠀⣿⡇⠀⠀⢸ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⣼⢀⣠⣯⣿⣧⣀⡀⢁⣴⣿⣿⣿⣄⠐⠀⣿⡇⠀⠀⢸ ⣿⠀⠀⠀⠀⢀⡀⠀⢀⣿⢀⠼⢻⣿⡛⢿⣙⢧⡿⢙⠭⢿⣍⠑⣷⢛⣇⠀⠀⢸ ⣿⠀⠀⡇⢸⠠⠒⠉⢰⣿⡏⡠⠋⠀⠈⠂⠝⣫⠖⠁⠀⠀⠈⠚⣻⠀⠙⣆⠀⣺ ⣿⠀⠀⡇⢸⣆⠐⣚⣿⡟⢠⡇⠀⠀⢀⠠⠖⡏⠒⠤⠄⡀⢀⡜⡼⡈⠀⢻⣀⣾ ⣿⠀⠀⡇⣼⣧⠀⣾⣿⡧⢻⣿⡖⠒⠡⠂⠀⠀⠈⠢⡀⠈⢨⡇⢾⡿⠀⡼⣿⣿ ⣿⠀⡀⡇⣿⣿⣿⣿⡿⠁⡼⡘⣧⠎⠀⠀⠀⠀⠀⠀⠈⠂⣸⡇⡞⡈⣄⣾⣿⣿ ⣿⡀⠂⣧⣼⣟⣻⡏⠔⠀⣷⡷⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣸⠇⠈⢈⣿⣿⣿ ⣿⠙⠛⠻⠿⢿⣿⣷⣶⣶⣿⣤⣤⣤⣤⣤⠴⣦⣤⣤⢤⣀⣈⣿⣦⣴⣾⠿⠟⢻ ⣿⠀⠀⠀⠀⠀⠈⠉⠻⣿⡿⢿⣶⣿⣟⣛⣛⣳⣿⣼⣟⣿⣿⣻⣿⠟⠁⠀⠀⢸ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⢴⣿⠫⠕⠒⠦⢬⣷⠮⣭⣿⠟⠁⠀⠀⠀⠀⢸ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⠀⠀⠀⠀⣸⠉⠉⠁⠀⠀⠀⠀⠀⠀⢸ ⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⡀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⣿⣿⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⡄⠀⡽⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸ ⣿⣿⣿⣿⣿⣷⣶⣶⣤⣄⣀⠀⠀⠀⠀⣇⣀⡜⠀⠀⠀⠀⠀⢀⣀⣤⣴⣶⣿⣿ ⣿⣿⣿⣿⣟⢻⡿⠿⣿⠿⢿⣿⣶⣶⣾⣿⣿⣷⣤⣤⣤⣴⣶⣿⣿⣿⡿⣿⣿⣿ ⣿⣿⣿⣿⣿⣎⣀⣀⣎⣀⣀⣃⣀⣸⣃⣉⣻⣉⣛⣿⣹⣟⣯⣈⣉⣧⣼⣿⣿⣿