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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⣀⣀⣴⣿⣿⣿⣿⣿⣿⡿⠛⠛⠿⠿⣿⣿⣿⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠠⣾⣷⣶⣦⣤⣬⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢡⣤⣤⣉⡉⠛⠛⠛⠋⡉⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⣈⠙⠻⢿⣿⣿⣿⣿⣿⠿⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠺⢿⣿⣶⣤⣀⣀⣤⣤⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠁⠻⣿⣿⣿⡟⢁⣴⣤⣈⡉⠛⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠶⣤⣈⡉⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡿⠿⠿⠿⠋⠀⠀⠀⠀⠀⠀⢀⣤⣤⣀⣀⠀⠀⠀⠙⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣟⠁⠈⠉⠙⠛⠓⠀⠀⢸⣿⣿⣿⣿ ⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠛⠛⠶⢶⣤⣤⣤⣴⢶⣿⣿⣿⣿⣿ ⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠷⣦⣄⡀⠀⠀⠀⠀⠀⣀⣿⣿⣿⣿⣿ ⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣅⡀⠀⠉⠛⠿⠿⠛⠛⢻⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣷⣾⣄⠀⠀⠀⢠⡾⠋⠛⠷⢶⣤⣤⣤⣤⣴⣾⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⣉⠛⠷⢶⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣥⣶⡶⣶⣩⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢱⣿⣿⣿⣸⣿⣿⣷⣄⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⠡⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⢛⣛⣛⠛⠃⢼⣿⣿⣿⣿⣿⣿⣿⣿⣵⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡿⢛⣁⣤⣶⣾⣿⣿⣿⣾⣿⣷⣦⣝⠻⢿⣿⣿⣿⡿⢋⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠟⣡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⣄⢙⠛⣋⣴⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡿⢃⣾⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣕⠜⠿⢟⣫⣭⣶⡾⠟⠁⠈⠀⠙⣛⡿⢶⣭⣝⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⢡⣿⣿⣿⣿⣿⣿⣿⣿⠙⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⠌⢿⣫⣵⣾⣏⣤⣶⣿⣿⣿⣿⣿⣿⣶⣯⡛⠓⠉⡻⣿⣿⣿⣿⣿⣿ ⣇⣾⣿⣿⣿⣿⣿⣿⡿⣫⣿⣿⣿⣷⣦⣍⠛⠿⣿⣿⣿⣿⣿⣿⡌⢸⣿⣿⣿⣿⠿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣥⣤⡀⠘⣮⡻⣿⣿⣿⣿ ⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣌⠙⠿⣯⣻⢿⡗⢀⣿⣿⡿⡡⢊⣥⣬⣁⠹⣿⣿⣿⣿⠿⠿⢿⣿⣆⡹⣿⣜⢿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣔⢈⢿⣷⠞⣜⡿⣿⡑⣰⠿⠛⠻⢿⣧⢹⣿⡟⠕⣉⣉⣁⠪⡻⣷⡹⣿⣎⢻⣿ ⡽⣿⣿⣿⣿⣿⣿⣿⢇⣛⡻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢢⢡⣾⣛⣻⠾⡇⡏⡌⠃⠘⣼⣿⠈⣿⠛⡼⠋⠛⢿⣷⣌⢿⣧⣿⣿⡎⢿ ⣇⢻⣿⣿⣿⣿⣟⣟⣾⣿⣿⣧⣄⡉⡻⢿⣿⣿⣿⣿⣿⣿⡇⢸⣟⣭⣭⣛⢦⡁⡐⠐⢂⣼⡟⢠⣿⡆⠀⠋⠀⠄⢿⣿⠘⣿⣿⣿⣿⣸ ⣿⣎⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⡙⢿⣿⣿⣻⣟⠕⣼⣩⣭⣭⢙⠻⢿⠯⠘⠿⠟⢁⣾⣿⣿⣄⠐⣈⣠⣿⣿⢠⣿⣿⣿⣿⡏ ⣿⣿⣦⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⠎⠿⠿⢛⣡⣾⣿⣿⣿⣿⣧⡻⣿⣿⣿⢰⣾⣿⣿⣿⣿⣿⣧⡝⢛⣁⣤⣶⣮⣿⣿⣿⡷ ⣿⣿⣿⣿⣦⣝⠻⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⠄⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠈⣝⠻⣿⣿⣿⣿⣿⣿⣿⣯⣶⣿⣒⠛⡳⢽⣿⣿⣿⣧ ⣿⣿⣿⣿⣿⣿⣿⣶⣬⣛⡛⠻⠿⠿⠟⣛⣁⠸⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠘⢿⣶⣬⣽⣟⣛⣛⡛⠛⢛⣫⣥⣾⣿⣿⣿⣿⣿⢹ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠹⣿⣎⢿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠈⠛⠿⠿⠿⠟⠁⣰⣿⣿⣿⣿⣿⣿⣿⣿⢇⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡔⠽⣿⣧⡹⣿⣿⣿⣿⣿⣿⣿⣎⠷⠄⣀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⢏⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⢘⢿⣿⣮⡻⣿⣿⣿⣿⣿⣿⣷⣅⠸⠷⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⡿⢣⣾⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠝⠿⣿⣾⣿⣿⣿⣿⣿⣿⣾⣭⣶⣶⣿⣿⣿⣿⣿⣿⣿⡿⢟⣴⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣬⣈⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣫⣶⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣤⣋⣽⠿⠿⠿⠿⠿⠿⣿⣛⣫⣭⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿

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

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ദ്ദി(◕_◕)✧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⠶⠶⠶⠶⠶⢦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⡶⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⢦⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣄⠀⠀⠀⠀ ⠀⠀⢠⡾⠁⠀⠀⢀⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⡙⢷⡀⠀⠀ ⠀⢠⡟⠀⠀⠀⣰⣿⣿⡇⠀⠀⠙⢷⡀⠀⠀⠀⠀⢠⣾⣿⣿⠀⠀⠹⣮⢿⡀⠀ ⠀⣾⠀⠀⠀⢰⡏⠙⠛⠁⠀⠀⠀⠘⡇⠀⠀⠀⠀⣸⠋⠛⠋⠀⠀⠀⢹⠈⣧⠀ ⢸⡇⠀⠀⠀⠘⣧⣤⣤⣤⣤⣤⣤⣤⡇⠀⠀⠀⠀⢸⣧⣤⣤⣤⣤⣤⣾⠀⢹⡆ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⢸⡇⠀⠀⠀⠀⣰⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡶⠀⠀⣸⠇ ⠀⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⢀⡟⠀ ⠀⠘⣧⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⣾⠁⠀ ⠀⠀⠘⢷⡀⠀⠀⢻⣿⡻⠋⠁⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⡿⠃⠀⢠⡾⠁⠀⠀ ⠀⠀⠀⠀⠻⣦⡀⠀⠙⠷⣤⣀⠀⠀⠀⠀⠀⠈⣿⣿⡿⠋⠀⣀⡴⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠷⣤⣀⠀⠉⠛⠓⠒⠒⠒⠚⠋⠁⣠⣤⠾⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠶⠶⠶⠶⠶⠶⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠤⠤⡤⠤⣀⣀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⢔⠲⠈⠉⠀⠀⠀⠀⡸⠀⠀⠈⣿⣿⣦⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠂⡡⠄⠀⠀⠀⠀⠀⠈⠀⠀⢇⠀⠀⠀⣿⣿⣿⣷⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⢁⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠎⢀⣡⠴⠒⠈⠉⠉⢉⣩⣿⣶⣦⣄⡀⠀⡆⠀⠀⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣴⠉⠀⢀⠖⠉⠉⠙⠿⣿⣿⣿⣿⣿⣿⣷⣼⡀⠀⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⣿⣄⣴⠏⠀⠀⠀⠀⠀⠙⣿⣿⣿⡿⠿⠛⠁⡇⠀⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡹⠛⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⡇⠀⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⢀⡔⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⣿⣿⣿⣿⠀ ⠀⠀⢀⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⣿⣿⣿⣿⠀ ⠀⠠⡃⢠⡤⠤⣀⣀⣀⡀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⣿⣿⣿⣿⠀ ⠀⠀⠑⢼⣧⣀⣴⣿⣿⣿⣿⣷⣦⣄⠇⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⣿⣿⣿⣿⡇ ⠀⠀⠀⣼⢠⠀⠈⠍⠉⠛⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⢀⡇⢠⠀⠀⣿⣿⣿⣿⢇ ⠀⠀⠀⡏⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣶⣤⣷⣶⣿⣿⣿⠏⠀ ⠀⠀⢸⠇⢀⠀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⡟⠉⠃⠀⠀ ⠀⠀⢸⠀⡇⠮⣀⣀⣤⣤⣭⣽⣿⣄⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⡇⠰⠐⠲⠾⠿⠿⠿⠿⠟⠛⠛⠋⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⢸⢁⠇⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀ ⠀⠏⠸⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⢸⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀ ⠀⠑⠢⠤⠀⠀⠀⠀⠀⠒⣄⣀⠠⠶⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡜⢠⠃⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⠿⠟⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠐⠒⠒⠂⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠄⠒⠒⠉⠉⠉⠉⠉⠓⠂⠤⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠄⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⢄⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀ ⠀⠀⡰⠁⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠢⠀⠀ ⠀⡐⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣦⠀⠀⣰⣾⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠱⠀ ⡰⠀⠀⢀⣴⣿⠟⠉⢈⠟⠁⢹⣿⣿⡇⢀⣿⠟⠁⠀⡬⠛⣿⣿⣿⣷⣄⠀⠀⢡ ⡇⠀⣠⣿⡿⠁⠀⠀⢎⠀⢀⣼⣿⣿⡇⢸⠏⠀⠀⠘⠀⣰⣿⣿⣿⣿⣿⣦⠀⢸ ⡇⢠⠃⡿⠁⠀⠀⠀⠀⣷⣿⣿⣿⣿⡿⢸⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡆⢧⢸ ⡇⡞⠀⡇⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡇⢸⣆⡀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⢸⢸ ⡇⢧⠀⢷⣄⣀⣀⣴⣿⣿⣿⣿⣿⣿⡇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢸⢸ ⢰⠸⡄⠘⣿⡟⠻⣿⣿⣿⣿⣿⣿⡿⠁⠀⢻⣿⡉⠙⣿⣿⣿⣿⣿⣿⡏⠀⡞⡸ ⠀⢂⠹⣄⠘⣧⣠⣾⣿⡿⢿⣣⡿⠁⠀⠀⠀⠻⣿⣿⢿⡿⢟⣾⣿⠏⢀⠜⠠⠁ ⠀⠀⠢⡈⠑⠚⠿⠷⠶⠿⠟⠋⠀⠀⠀⠀⠀⠀⠈⠛⠿⠾⠿⠿⠕⠛⠁⡰⠁⠀ ⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⠀⠀ ⠀⠀⠀⠀⠀⠑⠠⡀⠀⠀⠀⠀⠀⠠⠞⠙⠦⠀⠀⠀⠀⠀⢀⡠⠊⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠂⠤⢀⣀⣀⣀⣀⣀⣀⣀⡠⠔⠂⠁⠀⠀⠀⠀⠀⠀⠀
⡐⢂⡒⡌⢆⡱⢂⡑⢢⡑⣌⠒⣌⠒⣌⢢⡑⢢⡑⢢⡑⣌⠒⣌⠒⡤⢃⡜⡰⢌⠒⣌⢢⡑⢢⡑⢢⡑⣌⠒⣌⠒⣌⢢⡑⢢⡑⢢⡑⣌⠒⣌⠒⡤⢃⡜⡰⢌⠒⣌⢢⡑⢢⡑⢢⡑⣌⠒⣌⠒⣌⢢⡑⢢⡑⢢⠜⣠⢃⠦⡑⢢⡑⣌⠒⣌⠒⣌⢢⡑⢢⡑⢢⡑⣌⠒⡌⢆⡱⢌⠂ ⢨⢁⠦⡙⢤⠒⡥⢊⡕⡰⠢⡍⢤⡉⢖⡰⠌⡥⢌⠥⡒⢤⠩⢤⠩⡔⢣⠰⡡⢎⡱⠌⡆⢬⠡⣌⠱⣂⠦⢩⠤⡩⢔⠢⡌⠥⡌⢥⠒⡤⢩⠤⡩⢔⢣⠰⡡⢎⡱⠌⡆⢬⠡⣌⠱⣂⠦⢩⠤⡩⢔⠢⡌⠥⡌⢥⠚⡄⢎⠴⣉⠦⢱⠠⡍⢤⡉⢖⡰⠌⡥⢌⠥⡒⢤⠩⡜⠢⡜⣨⠁ ⢂⠎⣒⢩⢢⡙⢤⠃⡴⢁⠳⣘⠢⠜⡠⢎⡱⣘⠢⠜⡘⢤⢋⠦⡑⢌⢆⢣⡑⢆⠢⢍⡘⢆⠳⡀⢇⢢⡙⢢⡑⠢⡅⠳⢌⡓⢌⠢⢍⠲⡡⢎⠱⣈⢆⢣⡑⢆⢂⡓⡘⢆⠳⡀⢇⢢⡙⢢⡑⠢⡅⡓⣌⠓⣌⠢⡱⡘⣌⠲⡐⠬⣁⠳⡘⢆⠸⡐⣌⠓⣌⠒⢬⠘⡆⡓⠬⡑⢆⡱⠂ ⢈⡒⠌⡆⢦⢉⢆⢣⠒⣍⠲⢡⠓⡬⡑⠦⣑⠢⣅⢋⡜⢢⢃⠖⡩⢌⢎⠢⡍⠦⣉⠦⣉⢎⡱⡘⡌⠦⣑⠣⢜⡡⢎⡱⢊⡜⠢⣍⢊⠥⢓⡌⣒⠡⢎⠢⡍⢆⠣⡜⣑⠪⣅⠓⡌⢦⢑⠣⡜⡡⢜⡡⢜⡸⢠⠣⢅⡓⠬⡑⢬⠱⡌⡱⣉⢆⢣⠱⢌⡚⠤⣋⠴⣉⠒⣍⢒⡩⢢⠱⡁ ⠰⣈⠵⣘⠢⡍⡌⢆⠹⣠⢋⠦⡙⢄⢣⠓⡬⣑⠢⢡⠎⡑⢎⠬⡑⢊⢆⠳⢌⡑⢢⠱⡌⢲⠰⡑⢌⡓⠬⣑⢊⠔⢪⠔⢣⢌⢣⠰⣉⠚⡴⠘⣄⠫⢌⡓⡸⣈⠱⢢⠅⡳⢠⠋⡜⠤⢋⡒⠥⡑⠪⡔⢃⠲⡡⣉⠦⣉⠖⣉⠆⡓⢬⠑⡆⢎⠢⣙⠢⢍⡒⡡⢒⡡⢋⠤⢣⢘⡡⢓⠄ ⢢⢡⠒⡬⢑⡜⠌⡆⢣⠔⣊⠖⣉⠦⡘⡸⡐⠦⣉⠦⣘⠱⣊⠦⡑⣉⠦⣉⠦⣉⠆⡱⢌⢣⠱⢌⠒⡬⠱⣌⢊⠜⣂⢎⡱⢊⠤⢃⠬⠱⢌⡓⢌⠲⣁⢎⡱⢌⡱⢂⡹⣐⠣⢍⢢⢙⠢⣍⢒⠡⡓⢌⢣⠣⡑⠤⣒⢡⠚⡤⢃⡜⠤⣋⠜⡤⠓⢤⡙⢢⠥⡑⢢⢡⢋⡜⠤⢣⠌⣣⠂ ⢐⠢⡑⢆⠣⣌⠓⡌⢦⢙⡰⢊⡔⢢⠱⣡⢃⠳⡐⢦⢡⠓⡔⢢⠱⡌⡒⢥⠚⡄⢎⡱⢊⠦⣙⠢⢍⠲⣑⠢⡍⠲⢌⡒⢬⡑⢪⡑⢎⡱⢊⡜⢂⠳⢌⡒⠌⢦⢡⢃⠖⣡⠚⡤⢃⢎⡱⢢⡉⢖⠩⡜⢂⠧⣉⠖⡡⢎⡱⢂⠧⡘⠦⡑⢎⠴⣉⠲⢌⡃⢖⡉⢆⠣⢎⡰⣉⠖⡘⢤⠃ ⢈⡒⢩⢌⠓⡤⢋⠜⣠⠣⢜⡡⢌⠣⡑⠦⣉⠖⡉⢆⠎⡱⢌⢣⡑⠬⡑⢎⡜⡘⠤⢃⢣⠚⡤⢉⠎⡱⢌⡱⢌⠓⢬⡘⢆⡜⡡⡘⠆⡥⢣⢌⠣⠍⠀⢀⠀⠊⢦⠩⠜⠀⠁⡀⠈⠐⠬⣡⠚⡌⡱⢌⢣⠚⡄⢎⠱⢢⢅⡋⡔⣡⠣⡙⣌⠒⡌⡱⢊⡜⢢⡉⣌⠳⢌⡒⣡⢊⡕⢪⠄ ⢢⠉⠖⡨⢓⡌⢣⠜⣠⢃⠎⡔⠣⣌⠱⡘⢤⢋⠜⡠⢎⡑⠎⡆⠜⡰⣉⠖⢬⢘⠢⢍⢢⡙⡔⢣⡘⠔⡣⠜⢢⡉⢆⡜⢢⠜⡰⢡⢚⡐⢣⢌⡁⢀⡜⡌⢆⠈⠦⠁⠠⣐⠣⢜⡑⠂⡑⢆⡓⡘⡔⣊⠦⣙⠰⢊⠥⣃⠎⡔⠒⣄⢣⠱⡌⢎⠰⣁⠧⢌⠣⠔⢢⡑⠎⡔⢢⠜⣠⢃⠆ ⢠⠙⡌⢱⢦⡜⢡⡎⡔⢪⡜⡌⠓⣤⢣⠙⢢⡎⡜⢡⡎⡜⢱⡌⢣⠑⡆⠚⣤⠃⡞⡌⣦⢱⠘⡆⡜⢡⢣⠙⡆⡜⢢⡜⢡⡎⠑⡆⢣⡜⢡⡎⠀⢰⡌⡜⢢⠘⡄⠀⠓⣬⠁⢠⡎⠀⡜⢢⢱⢡⡜⢰⠊⣴⠉⡆⢳⡄⢫⡌⠓⡌⡆⢳⠘⣬⢱⡌⢲⠉⡎⡍⣦⢱⢩⡜⢡⠚⡄⡎⡄ ⢈⢆⡙⢆⠎⡔⢣⠰⡑⢪⠔⣩⠒⡡⠎⡜⢢⠜⣐⠣⡘⡔⠣⡜⢨⠱⢌⡓⢬⡘⢄⠳⣠⠃⢧⡈⠥⢋⡌⢲⢡⡑⠎⡔⢣⡘⡱⡘⠦⣡⢃⠖⡀⠆⡱⡘⡄⠐⠄⠘⠦⠁⠀⡰⠀⢌⡒⣩⠂⢧⠘⡥⠚⡤⢩⠘⡴⢘⠢⡍⢒⠱⡘⢆⠳⡠⢃⡜⢢⡙⠴⡁⢆⠣⠎⡴⢉⠦⡱⢌⡁ ⢌⠒⡌⠎⡜⣌⢃⠖⡉⢦⡉⢦⡑⢡⠚⣌⠱⣊⠤⢃⡱⢌⡓⠬⣁⠎⠆⣍⠒⠬⢌⠒⣡⠙⡢⢌⡱⠡⢎⡱⠢⠜⡡⢎⡱⠌⣅⢣⡑⠦⣉⠖⡡⠐⢡⠱⠀⠜⡀⠸⡁⠠⠰⠁⢐⢢⡑⢆⡹⢀⠧⣘⠱⡌⠥⠚⢤⡉⢖⡩⢌⢒⡩⠜⣢⠑⢆⡘⢆⠥⡓⠬⡘⣌⠱⢢⠍⣒⠡⢎⠄ ⠠⢍⡰⢩⠔⡌⢎⠴⡉⢖⡸⠰⡌⣃⠞⣠⠓⣌⠲⡡⢎⠒⣌⠓⡤⢊⡕⠢⣍⠚⡤⢋⠴⣉⠖⣡⠒⡍⠦⣑⠣⡙⠔⠃⠆⠙⠀⠂⠁⠁⣀⢀⠤⣀⠆⠦⣄⠢⣀⠱⡀⢅⠃⠐⡌⢦⡑⠎⡴⢉⠦⣡⠓⣌⢣⡙⢢⢍⠲⣐⢃⠎⡴⠩⡔⡩⠆⡍⢎⡒⢍⡒⠥⣌⢣⢃⠞⣠⠓⡌⠆ ⠘⡤⡘⢥⠚⡘⡌⢆⠹⡰⢌⡓⡰⣁⠞⣠⠙⡤⢣⡑⢪⠱⢌⠣⡜⡡⢜⡡⢆⡙⡰⣉⠦⡑⠎⠔⠉⠈⠁⠀⢀⢀⡀⠄⠄⢦⠰⡡⢎⡱⠌⠊⠐⠂⠙⠢⢆⢃⢆⡓⡌⠆⠀⠉⡜⢢⠜⡱⡘⢌⡒⢅⡚⡔⢢⢡⢃⢎⡱⠌⣌⠚⡰⠣⡜⢡⠚⡘⢤⡉⢖⡨⢑⠢⢎⠜⡘⢤⡙⡸⠄ ⠱⡐⣉⠦⡙⠴⡉⢆⡱⢂⠧⣘⢡⠒⡌⢦⢙⡰⢡⢊⠥⣉⢎⡱⢄⠓⠢⠘⠂⠁⠁⠀⡀⢀⢠⢠⡐⠦⣌⠳⠌⡆⢀⠀⠀⡀⠀⠑⢢⢄⡀⠀⡀⣀⠀⢀⠀⢈⡒⢬⡘⡜⢤⠀⠨⣑⢊⡱⡘⠤⢊⠦⠱⡌⠥⠒⣌⠲⢌⡃⢆⡱⢡⠓⣌⠣⣘⠡⢆⡙⢆⢒⡉⢦⡉⢎⡑⢢⠅⢳⡀ ⠰⣁⠒⢦⢙⢢⡙⡔⢢⢍⠲⢌⠦⡩⠜⡂⠃⠈⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⢡⠓⣌⠣⢎⠢⡜⡡⢆⢣⡙⢤⠃⢠⡄⠀⠈⠀⠪⡔⠀⢀⡄⠀⠈⠀⠩⢆⢍⠲⡰⣘⠢⣃⠀⢆⢣⢒⡩⠜⡡⢎⡱⢌⢣⡙⢤⠋⡆⣍⠲⠌⡥⢋⠤⡓⠬⡑⢎⡜⢌⠦⣉⠖⡘⢆⡍⠲⢌⠣⠄ ⠰⣈⢍⠲⢌⠦⡑⡌⢲⢈⠇⣎⠒⡥⣙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠣⢍⢢⠓⣌⠓⡴⢑⡊⢖⡘⠆⡭⠘⠷⠀⠀⡠⢓⠬⣡⠘⡇⠀⠀⢆⡘⢌⢪⡑⠦⢡⠓⡬⠀⢠⢃⠎⡴⣉⠲⢡⠚⡌⠆⡜⢢⡙⡔⢢⠅⣋⠴⡉⢖⡡⢃⢍⠲⢌⠎⡔⢌⡊⡕⣊⠬⡑⢎⡱⠁ ⠑⡌⢢⠍⠲⣌⠱⢌⡒⡌⢚⡄⢫⠔⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡩⠜⡢⢍⢢⡙⢤⠣⢜⢢⣉⢚⡰⣉⠖⣌⢣⡑⡍⠦⡑⢎⠴⢡⢚⡰⡘⣌⠲⢌⡱⢣⡉⢖⡡⠐⢪⠜⡰⢂⠥⠣⡍⡜⡘⢤⢃⠴⣉⠖⠬⡐⢦⢙⢢⠒⣉⠦⣉⠦⣉⢒⠢⡱⡘⠤⢓⡘⠢⣅⠃ ⠘⠤⢃⢎⡱⢌⡚⠴⡘⢬⠡⢎⠥⣊⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⢣⡑⢎⢢⡑⠎⡜⡌⢆⡒⠦⣑⢢⠚⢤⢢⠱⢌⡱⢉⠲⣌⠣⢆⡱⡘⢤⠓⡌⠦⡡⢜⢢⡑⠀⢣⠎⡱⣉⠖⡱⡘⠴⣉⠲⢌⠲⡡⢎⠱⣉⠖⡌⢦⡙⡰⡘⢤⠓⡌⢎⡡⢱⡉⢎⡱⢌⠓⡤⠃ ⢨⠑⡎⢢⡑⠎⡔⢣⢘⠢⣙⢢⠣⣌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠦⡑⢎⢢⠱⣉⠖⡘⠦⣑⠣⠜⣢⢙⢢⢃⠞⢤⠣⢍⠲⣄⢋⠦⣑⠩⢆⡹⢨⠱⡘⢆⠣⠜⠀⢡⢎⡑⠆⢎⡡⡙⢆⠥⠚⡌⡱⣑⢊⡱⠐⢎⠜⣂⠖⡡⢉⠦⡙⡌⢆⡡⠣⢜⠢⡱⢈⡓⢬⠁ ⠢⣉⠔⡣⣘⠱⣘⠢⣡⠃⠦⡑⠎⡔⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢌⡒⠭⣘⠢⢓⠬⡘⠥⡓⡌⢎⡱⢢⡉⠖⣌⠚⡤⢋⡌⢣⠔⡩⢆⠥⢋⠦⢡⢃⠧⣉⢆⡹⢌⠀⠲⡌⣌⠓⡤⢃⡕⣊⠆⡓⢬⡑⢤⢃⠦⡙⣌⠚⡔⣊⠴⣉⠲⡑⡜⠢⡔⡩⢆⢣⠱⢡⢊⢆⠃ ⠰⡁⢎⡱⢄⠳⡌⡑⠦⡙⠦⡙⢜⡨⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⣍⠲⣡⠙⣌⠲⣉⠖⡱⣘⢢⡑⠦⣉⠞⣠⢋⡔⢣⡘⢥⢊⠵⣈⠖⡡⠎⡅⠎⡔⢢⠎⡔⣊⠀⡓⡌⠦⡙⢤⠣⠜⡤⡙⢸⠰⡘⢆⡍⠦⢱⣈⠓⡜⡰⠢⣅⢣⠱⡌⢓⠬⡑⢎⢢⡙⢢⢃⢎⠂ ⠰⣉⠒⡌⢎⡱⢌⠱⢌⡡⢣⢍⠲⡘⣌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣑⢢⠓⡤⢋⡔⠣⡜⣨⠱⣄⠣⡜⣑⠢⢓⠤⢣⡘⠆⣍⠲⢌⢒⡡⢎⠱⡘⠌⡜⠰⣃⠜⡰⢡⠀⡱⢌⠣⢍⠢⡙⡜⡰⢡⠃⡥⢙⠢⡜⡐⢣⠰⣉⠖⡡⢃⡔⢣⠱⡌⢃⡒⢩⠜⢢⠱⢡⠎⡜⠂ ⠑⠤⢋⡜⠤⣃⠎⡜⣠⢓⡰⢊⡱⠘⡤⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⢣⡙⡔⠣⡌⡓⠴⡡⢒⠬⣑⠢⣅⠫⠜⠬⡑⣌⠓⣌⠲⢌⠦⣑⠪⡑⠬⡑⢌⡱⢠⠋⡔⠣⢐⠱⣊⠕⣊⠱⡘⠴⣡⢃⡜⡰⣉⠖⣡⢑⡊⠵⣈⢎⡑⠦⡘⢆⡓⢬⡁⢎⠥⣊⠕⣊⠲⠌⡜⡁ ⢨⠑⢦⡘⠦⡑⢎⠴⠡⢆⡱⢃⡜⡱⢌⢣⠣⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⡌⢦⠱⣈⠳⢌⡱⢃⡱⡉⠖⡬⣑⢢⡙⣌⢣⡑⠦⢩⠔⣩⠒⡌⠀⠁⠉⡒⢍⢢⠒⡥⢩⠜⡡⢈⠲⣡⠚⠤⢣⡙⢆⠥⡒⢌⡱⠢⢍⠆⠣⡜⠱⣌⠲⢌⡱⢉⠖⡘⢆⡩⠜⢢⡑⢎⠴⣉⠚⡴⠁ ⢄⠫⠔⡬⢑⡩⢒⡌⠱⢊⡔⠣⡔⢡⠎⢢⡙⢢⢃⠆⡄⡀⠀⠀⠀⢀⠠⡐⡜⡰⣉⢆⠳⡌⣃⠎⡔⢣⢆⠹⡘⠴⣈⠖⡰⢌⠢⣌⠱⠃⠚⠀⠁⠀⡄⢂⠆⡍⢎⠦⣙⠰⣃⠚⡄⠠⡓⢤⢋⠬⢡⠜⣌⠲⣁⠎⡰⣉⠎⡜⡡⠜⡡⢆⡍⡒⠤⢋⠬⡑⢎⡰⢉⠆⣍⠲⣈⠦⡙⡰⡁ ⢈⠦⣉⠔⡣⢜⡡⢌⡃⢧⡘⡱⣘⠢⡜⡡⠜⡡⢎⡸⢰⡑⢢⠄⣀⠀⠁⠑⠘⠰⠡⢊⠵⡘⠤⢣⡘⢥⢊⡱⢌⠣⢜⡨⡑⠈⢁⠀⡀⢄⠠⢂⠬⢱⡈⢇⡚⢌⡒⢆⡡⢓⠤⣋⠄⠣⢍⠲⢌⠲⣡⠚⢤⠓⡰⢌⡱⠢⢍⡒⡡⢎⠱⢢⠜⡡⢎⠱⣊⠱⣊⠴⢡⠚⡤⢓⡰⣘⠰⡱⠀ ⢈⡒⢌⢎⠱⢢⡑⡊⢜⡰⢌⡱⢄⠓⡬⡑⣍⠲⢡⠎⢥⡘⠥⠚⢤⡉⠖⡤⢂⠤⣀⠄⣀⢠⠠⠀⢘⠢⣃⠦⣉⠞⣠⠱⣡⢙⠢⠱⠈⠆⠉⠈⠜⡢⡑⢎⡘⠦⣉⠦⠱⣉⠦⠁⠂⡘⣌⠣⢎⡱⢂⡝⢢⡙⠔⣃⠲⣉⠦⠱⡑⡊⡕⣃⢎⠱⡈⠧⢌⡓⢤⢃⠣⣍⠲⣡⢒⢡⢣⡑⠃ ⢢⠘⡬⢌⢃⢇⡒⡉⢆⠜⣢⠑⡎⡘⢤⡑⢢⡙⠤⠚⡤⢙⠬⡙⢤⡘⡜⡰⣉⠦⣡⠚⠤⢣⠍⡄⠀⠑⠦⡑⣌⠲⣁⠇⣆⠣⢎⡰⢄⡂⢦⡉⢖⡡⠍⣆⠹⡄⠣⠜⠁⠀⠀⠀⠀⠀⠢⢙⡰⢨⠱⠌⢦⡉⢖⠨⣑⠢⡍⣓⠰⢡⠜⡰⢊⡱⢌⡑⣊⠜⣂⠎⡱⢠⠓⡤⢣⢘⠢⡜⡁ ⢈⡒⢡⠜⡘⣌⢣⢃⡜⡰⣉⠖⣡⠓⣌⠱⣊⠕⣂⠦⡑⢎⡰⢃⡌⢣⢅⢣⡙⠤⣉⠖⡰⢊⠴⠁⠀⠀⠀⠃⠙⠤⠋⠴⣉⠲⠌⡥⢊⠵⣈⠓⠬⠑⠂⠉⠂⠁⠀⡀⠀⠀⣠⢖⡶⣆⣂⠈⠑⡎⡒⠴⣈⠣⠜⢢⠍⢦⠱⣉⠆⢎⡔⣃⠎⡥⢌⢣⡙⠴⣩⠰⢡⠎⡒⡅⢎⡜⣠⢣⠁ ⠰⣈⠥⣊⠕⣢⠣⢌⢒⡑⠦⣉⠦⠱⣈⠧⡘⡜⢄⠣⡍⠦⣑⠣⢌⠣⡜⢢⠜⡱⠌⡎⣅⠫⠜⠀⢘⡖⡦⣄⠈⠀⠢⠄⠠⠤⢠⠤⡄⢠⠠⣔⣢⠠⠆⠓⠂⠈⣁⡤⣖⢾⡱⣏⠾⣵⢫⣆⠀⠡⡙⢦⢡⢋⡜⢡⠚⡤⢓⠬⡘⠦⡘⢤⢋⡔⢊⠦⣑⠣⢆⡙⢢⠱⡱⡘⠦⡘⡔⢢⠃ ⠰⠌⠦⣑⠪⡔⡱⢊⠤⣉⠖⡡⢎⠱⠰⡌⡱⡘⡌⢆⡱⠱⡌⡚⢄⡓⠬⡑⢎⠴⡉⢖⡨⡑⠀⡶⢈⢾⡱⣎⠿⣱⠖⣦⢤⠤⣄⡤⣠⡄⣤⢄⡤⣤⢲⡴⣺⡝⣧⣻⢼⠋⡗⠉⢻⡜⣯⠞⣥⡀⠘⢆⡑⢎⡰⢃⠍⡴⡉⢦⠑⡬⠑⣎⠢⠜⢢⡑⢌⡚⠤⢃⠥⢃⡱⢌⢓⡘⡌⡱⠂ ⠘⡌⡑⢆⡱⡘⠴⡡⢚⠤⡙⡔⢣⡘⡱⢌⠥⡱⢌⡒⡔⢣⠜⣡⠒⡬⣑⠩⡌⢆⡍⠦⣑⠁⡼⡱⠘⢦⠳⣜⢫⢧⠻⣜⢮⢻⣜⡳⡵⣻⡜⣯⢞⡵⣻⠼⣧⢻⢶⡹⠎⡅⡀⢞⡲⣝⠶⣛⢶⡱⡈⠢⢍⢢⠱⡌⡚⢤⡙⢤⢣⡘⡱⢢⡙⡜⡰⡘⢆⡍⢎⠥⣊⠵⡘⣌⠲⡘⣄⠣⠅ ⠘⠤⣙⠢⢥⢙⢢⡑⢩⢒⡱⢌⠣⠔⡱⢊⠲⡑⡌⢆⡙⢢⠍⣆⠱⠢⣅⠳⡘⢦⠘⢦⠡⢠⢱⡃⠀⣎⠳⣬⢇⣯⡹⣜⣎⡳⢎⡵⢳⣥⢻⢬⡻⣜⢧⡻⣜⠯⣞⡱⣏⠆⢉⠞⣵⢫⡽⣹⢎⠷⣥⠐⢊⢆⡓⠬⡑⠦⣉⠖⡄⢣⠱⣡⢒⡡⠱⡘⢦⡘⣌⠒⣡⢒⡱⢌⠲⡑⠬⡑⠆ ⢌⠱⡂⡝⢰⢊⠆⡬⢡⠒⡌⢎⡑⡊⢥⡉⢖⡱⢈⢆⠩⢆⠭⡄⣃⠣⠔⡣⣉⠦⡙⢢⡁⢘⠂⠃⢹⢞⡝⣧⣛⢶⡹⢶⣩⠗⡯⣜⡳⢎⣏⢾⡱⢏⣮⢳⡝⡾⣱⢻⡜⣆⠈⠘⠧⠛⠘⣑⢯⡝⡶⡀⠥⣊⠔⡣⢉⠖⡡⢎⡘⠤⢓⠤⢣⠌⠥⣑⠢⡜⢤⠩⣐⠢⣑⠪⡑⣌⠣⡙⡄ ⢈⢆⠱⣌⠱⣊⠜⡤⢃⡝⣘⢢⠱⣘⠢⡜⢢⠜⣡⢊⡕⣊⠦⣑⢢⡙⢬⡑⡔⢢⠍⡲⢀⢘⢧⠆⠘⣮⠽⣖⡻⢮⣝⠾⣜⢯⣳⢎⡷⣻⡜⣧⢻⡭⣞⢧⡻⣵⢫⢷⡹⠦⠁⢠⡝⠀⠺⣝⡮⣝⡞⡅⠒⡥⢊⡕⡌⢎⡱⠢⣅⠫⠜⣌⢃⢎⡱⢌⡱⣘⢢⡑⢆⠳⡨⢅⠣⡔⣡⠓⡄ ⢈⠆⡱⢌⠲⣡⠚⡄⢣⠜⠤⣃⢣⢂⠳⢌⡃⢞⠠⠎⡔⢢⠓⣌⠢⠜⡢⠜⣌⢃⢎⡑⢣⠈⢎⣇⠀⠺⡝⢮⡝⣏⠾⣹⢎⡷⡹⣎⢷⢣⡟⣼⢣⢷⡹⣞⣳⣭⢻⣎⠗⠁⢐⡽⢺⡵⣛⢮⣳⡹⢬⠁⡘⣐⠣⡰⡘⠦⣑⢣⠰⡉⢞⡠⢋⡔⢂⢣⢒⡡⢆⠱⢊⠥⢓⡌⡓⢬⠰⡩⠄ ⢌⠸⣁⠎⡱⢂⡓⢌⡡⢎⡱⢌⡒⠌⣆⠣⡜⠬⣑⡘⠬⣡⢋⠤⢃⠥⣃⠍⣆⠪⠤⣙⠢⡅⠈⡜⡂⠀⠙⠢⠙⠔⠫⠖⡭⢲⠹⡜⢪⠳⡜⣥⢛⡬⢳⡍⠶⣌⠳⠜⠂⠸⣼⡹⢧⡻⣭⠳⢦⡙⠄⢠⠰⡡⢎⠱⣨⠑⣆⠣⢒⡉⢦⡘⢥⡘⢌⠢⢎⠴⡉⠦⣉⢆⠣⡜⡰⢌⠣⣑⠂ ⢈⡒⠤⣋⠔⡣⢜⠢⡑⠦⣑⠪⡔⡩⢄⠳⢌⡓⢤⢊⡕⢢⠎⡜⣌⠲⢌⡚⠤⢣⡑⢆⠣⡜⢢⠀⠁⠀⣦⣀⠀⠐⠀⢄⠀⡀⠀⠈⠁⠉⠈⠀⠉⠈⠁⠈⠁⠀⠀⢀⠀⠀⠡⢛⢧⡛⡴⣋⠖⠁⣀⢣⠣⡑⢎⡒⡡⢍⠴⣉⠦⣉⠖⡘⢦⡘⠬⡑⢎⡒⢍⠲⡐⢎⡱⢰⠱⢌⡒⢥⠂ ⠰⣈⠖⡡⢎⡑⢎⡡⢙⠢⣅⠳⢨⠔⡩⠚⡴⢘⠢⠜⡰⢃⡚⠴⡀⢏⢢⠱⣉⠆⠭⢌⡓⣌⠣⡍⡀⠸⡱⣎⡟⡆⠂⠄⠀⠈⠁⠈⠀⠁⠀⠀⣀⢀⡀⡤⣄⡲⣜⢧⡟⣄⠀⠀⠁⠛⠐⠋⡀⠰⡌⢦⠱⣉⠖⡨⡑⠎⢦⡑⠢⢅⢎⡱⢢⠜⡡⢙⠢⡜⠬⡡⠍⠦⣑⠣⢎⠢⡍⢦⠁ ⠱⡐⡊⡕⢬⡘⠆⡜⢢⡑⠦⣙⠢⢌⡅⠳⢌⢣⡑⢊⡱⢌⡜⢢⢉⠲⢌⡱⢌⠚⡌⢆⡱⢂⡓⠬⡱⠀⢨⢵⣫⡝⡶⠠⠁⡒⠂⠀⠀⡠⢉⣍⣌⣡⣉⢥⣉⡥⣍⢾⡹⢎⣇⠖⠴⣢⠆⢹⠀⡑⡜⣂⠳⠌⣆⠱⢌⡹⠰⢌⢃⢎⡰⢌⡱⢌⢒⡡⢓⡌⡓⠤⣙⠰⣡⠚⠤⢓⠌⣆⠃ ⠰⡁⢖⡡⢒⡌⠳⡘⢤⢃⠳⣄⠫⡔⣌⠳⢌⠲⢌⠣⡜⢢⠜⡡⢎⠱⣊⠴⡉⢖⡡⠎⡴⠡⢎⢅⢣⢃⠨⣳⢧⡻⣝⡳⣖⣤⣈⣀⡀⠀⠀⠀⠈⠁⣉⢠⣏⢾⡹⢮⣗⢦⡌⡙⠲⣜⡃⢘⡆⠰⣑⢢⡙⡜⡠⢍⠦⢱⡉⢎⠲⠌⣆⠣⡜⢢⠎⡔⢣⠜⠬⡑⢆⠳⣄⠫⡜⢌⠎⡴⠁ ⠰⡉⢦⡘⠥⣊⠕⡡⠎⣌⠣⡔⢣⠰⢌⠚⡬⣑⢊⠱⢌⡃⢎⡱⢨⢑⠢⣃⠍⡆⢒⡩⢔⡩⢎⠒⣌⠲⠀⢳⣏⢷⣭⡳⣝⢶⣙⢮⣳⠐⠀⣯⣹⢹⣎⠷⣎⡷⣻⡝⣮⡳⣽⡹⣝⢮⠇⠸⡄⠁⣆⠣⣒⢡⡑⢊⡌⢣⠜⣌⠒⡩⠔⢣⠜⡡⢊⠜⡡⢎⡱⢡⠊⠵⣠⢓⠸⣈⠞⡰⡁ ⢑⠸⠄⡎⡱⢌⡚⢄⡓⠤⡓⢬⡑⠌⢦⡙⡰⢌⠢⢍⠢⡜⢢⡑⢆⡊⠵⣈⠞⣈⠖⢤⢃⠲⢌⠣⣌⠣⠅⢸⡼⢯⣶⢻⣝⣮⢏⣷⣫⠇⠃⢱⢯⣳⡞⣯⣳⢽⣣⣟⣵⢻⣖⡯⣝⣯⠃⠸⡄⠃⣌⠓⡌⢦⠘⡡⢜⠢⣍⠢⠍⡴⢉⠦⣙⠰⠡⢎⡱⢌⡒⡡⢎⡱⡐⢎⡱⢐⡊⡕⡀ ⢈⠦⣉⠖⡱⢌⠲⡡⢎⡱⡘⢦⢘⡩⢒⠬⣑⠪⡑⢎⡱⢌⠣⡜⢢⡉⢖⡡⢚⠔⣊⠦⣉⠞⣨⠱⣄⠫⠜⠀⣽⢳⡌⠋⠺⢜⡿⣜⣳⢟⠨⠈⣿⣱⣟⡳⢽⣫⠷⣞⡾⣝⣮⢗⡯⣞⡅⢸⠀⡅⢎⡱⡘⠦⡙⡔⣃⠣⢆⡹⠘⡴⢉⠲⡡⢍⠓⡌⢆⠣⡜⢡⢆⡱⡘⠦⡑⢎⡰⢡⠅ ⣈⠲⢄⠫⢔⡩⢒⠡⠆⣅⠳⢌⡒⠰⡉⢦⢡⢣⠱⡈⠦⣉⠖⡡⢆⡉⠦⡱⣉⠲⣈⠒⢥⠚⡄⢣⠆⡙⡜⡀⢰⢻⡜⣧⢄⢂⣬⡱⢯⣞⡇⠂⢡⡿⣜⣇⠢⡉⠻⣝⡾⣹⢎⡿⣜⡳⠆⢸⠀⡘⠆⡥⢃⠧⡑⡰⢡⡙⢢⢅⠋⡔⢩⢒⡱⢊⠜⡘⡌⡓⢬⡁⠲⡐⣍⠲⡉⠦⡑⢣⠂ ⢠⠃⢎⡑⢪⠔⡩⠆⠭⣄⠳⢌⡜⢡⡑⢎⢢⡑⠦⣑⠱⡌⢎⡑⢢⠜⡑⢦⢡⢣⠰⣉⠦⡙⡌⠆⢎⡱⢌⡱⠈⢮⡝⡾⣭⣛⡶⣛⡷⣺⢵⡈⡈⣵⣛⣮⢗⣌⣣⡄⣯⢳⣏⢾⣱⢟⡄⢸⠀⢌⡓⢜⡈⢖⢡⠒⡥⡘⢥⢊⡜⢨⡑⠎⡔⠣⣌⠱⣌⠱⢢⢡⠣⣑⠢⡱⡘⠴⡉⢦⠁ ⠠⢍⢢⡙⢢⡙⠴⡉⠖⣌⠚⡴⢈⠣⡜⢌⠦⡑⠎⡔⢣⠜⣢⠙⣂⢎⡱⢊⡔⢢⠓⣌⠲⡑⢬⡙⢢⠜⡢⠄⢠⣄⡉⠓⠃⠛⠼⠹⠞⠵⠫⠇⠁⠀⠛⠬⠛⠶⣣⢟⡼⣳⢎⡷⣫⢾⠄⠘⠀⠢⣉⠦⣉⠎⢆⡹⡐⡍⢆⠣⡌⢣⠜⡱⢌⡓⠤⡓⣌⠱⡃⢆⠳⣨⠱⣁⠇⣓⡘⠦⡁ ⠰⢠⠄⡛⣄⠣⢇⡘⢇⡘⠧⣘⢃⠇⡸⡘⢤⠛⠤⠛⡄⢧⡀⠟⡠⢄⢃⢇⡸⢃⠜⡠⢇⠛⡤⢘⠣⠜⡣⠄⠀⣼⣿⣿⣿⣧⣤⣤⣤⣤⣤⣿⣇⠸⣧⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡄⣤⢀⢣⠸⣀⠟⡄⣠⠣⢸⡘⢇⡘⡃⡜⢣⡘⣄⠣⢸⢀⢇⡛⢄⠣⢄⢣⡘⠼⣀⠣⢇⠄ ⢡⠃⢎⡱⢠⢋⡒⢌⡒⣌⠲⡡⢎⡘⡔⡩⢆⡹⡈⠵⣘⠰⡌⣓⠰⢊⡌⢦⠑⡎⡘⡔⢊⡱⢌⠣⡑⢎⠥⣋⠄⢹⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢙⠀⣎⠱⢌⠲⣁⠦⡑⢣⠜⢢⡑⠴⣉⠦⣑⠢⣉⠖⣌⠲⡘⡌⢜⠢⡱⣈⢇⡰⢉⠎⡄ ⠠⢍⠒⡔⠣⢎⠜⡢⠜⡤⢣⡑⠦⠱⣌⠱⢢⢅⠣⢓⠬⡱⡘⢤⢋⠲⣘⢢⡙⠴⡑⣌⠣⡜⠬⡑⢭⠘⠒⠈⠊⠀⠀⠁⠀⠀⠉⠉⠙⠉⠛⠟⠻⢇⢸⡿⠿⣿⠿⠿⢻⠿⠿⠿⢟⡛⠫⠍⠈⠀⢤⢋⢆⠳⡐⠦⣙⢢⡙⢆⡜⢢⡑⢦⢡⠓⡔⢪⠔⢣⠱⡘⠬⡑⢦⠑⢦⡘⣡⠚⡄ ⡘⠤⡋⡜⢱⢊⡜⢄⡓⠬⣡⠚⣌⠱⢠⢋⠖⠬⡑⢊⠦⣑⠩⢆⢊⡑⠦⢱⡘⢢⠑⡌⡱⢌⠣⠍⢀⣤⣶⣿⣿⣿⣶⣄⠀⠘⡄⠀⠀⠀⠀⠀⡀⡀⠀⠈⠁⠀⠀⠀⠀⠀⠈⠀⠀⠀⢀⠠⠀⡚⣄⠫⣄⢣⠱⡘⠤⢃⡜⢢⡘⢄⠳⣈⠦⢩⡐⢃⠎⡥⢣⢡⠃⡍⠦⡙⢢⠜⡄⢫⠄ ⢘⠰⡑⠬⣑⠪⢔⠊⡴⢑⠢⡍⢤⢃⠣⢎⡜⢱⠨⣅⠲⢌⡓⣌⠒⡬⡘⢥⡘⡅⡚⠤⠓⣌⢣⠁⣖⣿⣿⣿⢿⡟⡟⣿⣷⡄⠹⠀⠀⢆⠘⡐⠐⠈⢀⣀⣀⣀⠀⠀⠀⠀⠀⠄⠀⠄⡀⢂⠄⡑⠬⡑⢆⠣⢎⠰⣉⠖⣌⢣⠘⣌⠲⢡⠎⢥⡘⣌⠚⡔⣃⠦⣉⠖⣡⠙⢦⠘⣌⠱⠂ ⢈⠦⡑⢣⢌⡓⡌⡓⢌⢎⡱⡘⠆⢎⡱⢊⡔⣃⠣⢆⡙⠦⡘⢤⠋⡴⢉⠖⣌⢒⠩⡜⡱⠌⢦⠁⢸⣿⣿⣿⣼⣶⣽⣿⣿⣿⡄⠀⠌⠄⠠⠁⢠⣴⣿⣯⣿⣿⣿⣧⣤⠀⠀⠈⠄⠐⡐⠠⠀⠄⢣⡙⣌⠓⡌⡓⢬⡘⡔⣊⠱⠌⣎⡑⢎⡒⠴⣈⠳⡘⡔⢢⡑⢎⠴⣉⠦⡙⢤⢋⡄ ⡈⢆⡙⠆⢎⠴⡑⡌⢊⡔⢢⡙⠜⡰⡈⡕⡒⠬⡑⡌⠜⣢⢙⠢⡱⢈⢣⢚⡐⣊⠱⠰⣡⢋⡒⢆⡀⠉⠛⠛⠻⠿⠿⠿⠟⠛⠃⢀⣈⠄⠀⠁⣿⣿⣿⣿⡏⡣⢤⣿⣿⣷⣄⠀⠠⠂⠀⠀⠀⢎⡅⡚⢤⠋⡔⡑⢢⠱⡘⢤⠃⠭⡐⡜⢢⠱⢌⢂⠧⠱⡌⠥⡘⢌⠲⣁⠞⡘⠤⢣⠄ ⠘⠤⣡⢋⡌⠦⡱⣈⠥⣊⠥⣘⠱⡰⢑⠬⣘⡑⡒⢌⡓⢤⡉⢖⠡⡍⢆⠎⠴⣁⢎⡱⠄⡎⡔⠣⡜⣠⢀⡀⢀⠀⡀⢀⠈⡁⣀⠠⣀⠠⣀⠆⠨⣙⠛⠿⠿⠿⠿⠿⠿⠛⢋⣠⡤⡴⠁⢀⠞⡰⢌⡱⢊⡜⡰⢉⢆⢣⢙⢢⡉⢖⠱⡌⡱⢊⠴⡉⢆⠳⢌⡱⢘⠬⠱⢌⡒⡩⢌⢣⠂ ⢨⠑⡤⢒⠬⡱⡑⣌⠲⢡⠚⡤⢣⠱⣉⠖⡡⢜⡑⢎⡸⠤⡙⠬⡱⡘⡌⢎⡱⢌⠲⢌⡓⢬⡘⡱⡘⢤⠣⡜⣡⢋⠴⣉⠖⡱⣈⠓⡬⠱⣌⠲⢄⠈⠙⠛⠛⠶⠿⠾⠿⠿⠟⠛⠉⣀⠲⢩⠜⡡⢎⡔⠣⡜⡰⢩⠜⢢⢍⢢⡑⢎⡱⢌⡱⣉⠦⡙⢬⡑⠎⡴⢉⢎⡱⢊⠴⣑⢊⠦⡁ ⠢⠍⠴⠉⠒⠱⠘⠤⠃⠇⠳⠘⠆⠳⠌⠲⠑⠎⠔⠪⠔⠣⠜⠱⠢⠱⠘⠦⠑⠎⠲⠡⠚⠔⠸⠐⠍⠆⠓⠸⠐⠎⠲⠐⠎⠱⠄⠫⠔⠃⠦⠉⠎⠜⠂⠒⠤⠠⠀⠄⠠⠄⠰⠐⠢⠅⠣⠃⠎⠱⠢⠜⠑⠦⠑⠃⠎⠥⠊⠖⠘⠆⠲⠌⠲⠐⠦⠙⠴⠈⠳⠰⠉⠖⠰⠉⠖⠌⠲⡘⠄
⢀⡴⠑⡄⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⡇⠀⠿⡀⠀⠀⠀⣀⡴⢿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠑⢄⣠⠾⠁⣀⣄⡈⠙⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡀⠁⠀⠀⠈⠙⠛⠂⠈⣿⣿⣿⣿⣿⠿⡿⢿⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡾⣁⣀⠀⠴⠂⠙⣗⡀⠀⢻⣿⣿⠭⢤⣴⣦⣤⣹⠀⠀⠀⢀⢴⣶⣆ ⠀⠀⢀⣾⣿⣿⣿⣷⣮⣽⣾⣿⣥⣴⣿⣿⡿⢂⠔⢚⡿⢿⣿⣦⣴⣾⠁⠸⣼⡿ ⠀⢀⡞⠁⠙⠻⠿⠟⠉⠀⠛⢹⣿⣿⣿⣿⣿⣌⢤⣼⣿⣾⣿⡟⠉⠀⠀⠀⠀⠀ ⠀⣾⣷⣶⠇⠀⠀⣤⣄⣀⡀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠉⠈⠉⠀⠀⢦⡈⢻⣿⣿⣿⣶⣶⣶⣶⣤⣽⡹⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠲⣽⡻⢿⣿⣿⣿⣿⣿⣿⣷⣜⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣶⣮⣭⣽⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣀⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⠿⠿⠿⠛⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠈⠀⠀⠀⠠⠀⠀⠀⠀⠠⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⢾⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠃⠀⠀⣀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⢀⠀⠋⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠈⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⡟⠀⠀⢀⡀⠀⠀⠀⠀⠀⣀⣀⣂⣀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⠷⠛⣫⣭⡉⠉⠲⣾⡿⢋⠉⣩⣭⣍⠛⢶⣄⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⠁⠀⠟⠧⠀⠸⣿⣿⣿⠀⠈⠛⠐⠀⠀⠈⠀⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠉⠋⠁⣠⣆⣀⣀⣠⣄⠉⠉⠅⠀⠀⠀⠀⠀⠂⠀⠀⠀⡁⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢈⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⡀⠠⠀⠀⠁⠁⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⡀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀ ⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠈⠙⠛⠻⠿⢿⣿⡿⠟⠛⠛⠉⠁⠀⠀⠀⠀⠀⠄⠀⡐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⢆⠀⠀⠂⠠⠀⠀⠀⡀⠀⢀⠀⠀⢄⠐⡁⠐⠀⠀⠀⠀⠀⠄⠀⠀⠀⢠⠀⠀⠀⠀ ⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠐⠀⠀⠀⠀⠙⠠⡀⣆⠀⠀⡂⡢⠐⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀ ⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠄⢀⠐⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠀⠀⠠⢸⡇⡇⠀⠀⠀ ⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⢀⣀⣀⣂⣀⣀⣠⣀⣀⣀⣀⣀⣀⡀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⠁⢃⠀⠀⠀ ⠀⠀⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⡇⢸⠀⠀⠀ ⠀⢸⣿⣿⡇⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣾⣦⣤⣄⣀⡀⠀⠀⠀⠀⠈⠀⣀⣤⡄⠀⠀⠀⠁⠀⣹⣿⣿⣿⣿⢿⣷⢸⡀⠀⠀ ⠀⣼⣿⣿⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⣠⣿⣿⣿⣿⠃⠀⣿⡏⡇⠀⠀ ⠀⣿⣿⡇⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣀⣤⣶⣿⣿⣿⠟⠁⠀⠀⠉⠁⡇⠀⠀ ⠀⡿⠛⠃⠀⠀⠀⠀⠀⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⡇⠀⠀ ⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⡀⠀⡇⠀⠀ ⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⡇⠀⠀ ⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠁⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⣷⠀⠀ ⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⣿⠀⠀ ⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢹⡄⠀ ⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡀ ⢸⣿⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣣ ⣾⣿⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢀⣿ ⢿⢿⡄⠀⠀⠳⡀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠁⠀⣾⡟ ⠸⡈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁ ⠀⠑⢌⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠞⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣤⡴⠋⠀⢀⣠⢿⡇⠀⣀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢸⣿⠀⠀⠀⠻⣀⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⠀⠸⠛⠓⠢⠄⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⣠⣴⣶⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⡿⣿⢿⣶⣄⣴⣿⠟⠋⠁⠀⠈⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣾⣿⢳⡽⣎⡟⣾⣻⣯⠀⠀⠀⠀⠀⠀⠈⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣶⣿⡿⢿⣿⣶⣶⣦⣤⣠⣤⣶⣾⣿⠿⠿⠟⢻⡿⣧⢟⣳⣿⣾⣷⣿⣿⡿⣷⣶⣄⣤⣶⣿⢿⡿⣿⣦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⡟⠀⠀⠀⠀⠀⠈⠉⠛⠛⠋⠁⠀⠀⠀⠀⠀⣿⡿⣵⣫⢿⣿⢧⣿⣟⡳⣟⣧⣛⣿⣿⣿⣼⢏⣾⢳⣿⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣟⣶⢫⣟⣻⣿⣿⣯⢳⣛⡶⣛⣾⣿⣟⣿⡿⣎⣯⣿⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣼⡿⣼⣣⣿⣿⣿⣟⣿⣣⣿⣿⣿⣿⣿⢿⣸⣻⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⣧⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠋⠉⠀⠀⠙⠛⠛⠉⢿⣾⣳⢭⣯⣷⣿⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠉⠀⢻⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣼⣿⡷⠶⠿⠛⠓ ⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠙⠉⠉⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⡆⠀⠀⠀⠀⢠⣤⣿⣷⣤⣦⣤⡄ ⠀⠀⠀⠀⢿⣧⠀⢀⡀⠀⠀⠀⠀⢠⣴⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡿⠁⠀⠀⠀⠀⠀⢁⣿⡇⠀⠀⠀⠀ ⢠⣴⣶⡾⢿⣿⡟⠛⠛⠀⠀⠀⠀⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⢠⣴⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣼⣿⣀⡀⠀⠀⠀ ⠈⠁⠀⠀⠀⢻⣧⡀⢀⡀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⢻⣧⣮⣼⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠋⠙⠛⡿⠷⠀ ⠀⠀⠀⢀⣤⣶⢿⣿⡋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⢿⣿⣤⣀⡀⠀⠀⠀⠀ ⠀⠀⠀⠙⠋⠀⠀⠙⢿⣦⣴⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⡿⠁⠀⠈⠉⠙⢿⣦⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⡿⠛⠿⣿⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣴⣾⡿⠿⠛⠉⢿⣧⠀⠀⠀⠀⠀⠈⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠰⠟⠋⠀⠀⠀⢀⣬⣽⣿⣿⣿⣿⣿⣿⣾⡾⢿⠿⠿⠿⠟⠛⠛⣿⡿⢯⢿⣿⣄⠀⠀⠈⢻⣷⡄⠀⠀⠀⣸⣿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣾⣟⠋⠁⣠⣿⣿⡹⡽⣿⣇⠀⠀⠀⠀⠀⠀⠀⣸⣿⣻⢽⡺⣟⣿⣆⠀⠀⠀⠻⣿⣄⣠⣾⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣾⠟⠉⠉⠘⢿⣷⣰⣿⣿⣼⣷⣟⣾⣻⣷⣤⣤⣀⣤⣤⣾⣿⢏⣷⣯⣷⣭⣿⣿⣧⣠⣤⣶⡿⠟⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢈⣿⠇⠀⠀⠀⣠⣿⠿⠛⠉⠉⠉⠛⢿⣷⡽⣏⣿⣛⣯⢿⣹⣺⣿⠿⠛⠉⠉⠉⠙⠻⣿⣏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠙⣿⣯⣶⢻⣼⢳⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠈⢻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣷⣄⣸⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣞⣳⡽⣺⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠛⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣷⢻⣜⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢯⣻⢼⣻⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿⣏⡾⣭⠷⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣷⣿⣿⣿⣿⣾⣿⣿⣄⡀⠀⠀⠀⠀⠀⣠⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣶⣤⣤⣤⣶⡿⠟⠋⠉⠁⠀⠀⠀⠀⠉⠉⠙⠻⠿⣷⣶⣤⣶⡾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣤⠶⠶⢖⣦⠀⠀⣴⠀⠀⠀⢠⡀⠀⠀⠀⢀⣶⠟⠛⠒⢦⡀⠀⠀⠀⣿⡇⠀⠀⣠⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣯⡹⡄⠀⠀⠘⡾⠀⢠⡿⠀⠀⠀⢸⣷⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⣠⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⠿⠿⣷⡄⠀⢸⡇⠀⠀⠀⣾⡏⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣤⡀⠀⠀⠀⣼⠁⠀⢸⣧⠀⠀⠀⣿⡇⠀⠀⠱⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⡇⠙⣷⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⠉⠻⠭⠋⠁⠀⠀⠀⠻⠿⣿⠏⠁⠀⠀⠀⠀⠱⣟⣦⣀⡠⣖⡇⠀⠀⠀⣿⡇⠀⠀⠀⠙⠯⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡆⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡠⠤⠤⠤⠤⣀⡀⠀⠀⠀⠀⠀⢠⣿⢹⡇⠀⠀⠀⡟⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠔⠋⠉⠉⠉⢦⣠⠎⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢦⠀⠀⠀⢸⣿⠀⠹⡆⡠⡏⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⡐⠁⠀⠀⠀⢀⡖⠊⠉⠉⠉⠉⠉⠉⠉⠓⣧⠀⠀⣿⣿⠀⠀⣳⡏⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠇⠀⠀⠀⠀⠀⡜⠁⠀⠀⠀⠀⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠸⣿⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡜⠀⠀⠀⠀⠀⢠⠁⠀⠀⠀⠀⠀⠀⠓⢤⡀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢇⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠒⠋⠉⠀⡇⠀⠀⠀⢻⣆⠀⠀⠀⠀⣴⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠳⣄⡀⠀⣠⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠉⢿⡆⣖⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢀⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⡰⠋⢹⡀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⣠⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⡞⠀⠀⠀⢧⡀⠀⠀⠀⠀⢀⡏⠀⠀⠾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⡖⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡟⡏⠻⢷⣄⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⣷⣇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⣼⡏⠁⠉⠉⠻⣷⡄⠀⠀⠀⠀ ⠀⠀⠀⡿⡇⠀⠀⣸⡇⠀⠀⠀⣞⡏⠈⣿⡄⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠈⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⡷⠾⠯⣏⠀⠀⠀⣼⡟⠀⠀⠈⣇⠀⠀⠀⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠈⠯⣓⣶⡶⠶⣶⡦⡀⠀⠀⠀ ⠀⠀⠀⡟⡇⠀⠀⠈⢻⠀⣼⡿⠿⠿⠿⠿⢿⡆⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⡾⡇⠀⠀⠀ ⠀⠀⠀⠿⢤⣤⣄⡴⠃⠀⡟⠀⠀⠀⠀⠀⠀⠿⠀⠀⠸⠿⠷⣶⣶⣶⣶⡦⠀⠀⠿⣶⣷⣶⣖⣟⠷⠀⠀⠈⠷⣤⣤⣤⣴⡟⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⣤⣴⣶⣶⣶⣶⣶⣤⣤⣄⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣀⣀⣀⣤⣤⣤⣶⣶⣶⣶⣶⣶⣤⣄⡙⠢⣄⡀⠀⠀ ⢀⣤⡠⠖⣡⣾⣿⠿⠿⠛⠛⠛⠛⠛⠛⠛⠿⠿⠿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠛⠛⠛⠛⠛⠛⠻⢿⣷⣦⡙⢾⣷ ⠸⠿⠃⡾⠟⠉⠀⠀⠀⠀⠀⠀⣀⢀⡀⣀⢀⣀⣀⢀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⠀⡀⢀⠀⡀⢀⡀⢀⡀⠀⠀⠀⠀⠀⠀⠙⠻⣾⢹ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⢠⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠀⠀⣀⣀⣀⣀⣀⣄⣠⣄⣤⣤⣀⣀⠀⠀⠀⠀⠀⠈⠈ ⠀⠀⠀⠀⠀⠀⢀⣤⠞⠋⠁⢹⣿⣿⣿⣿⣿⣏⠹⣿⡉⠀⠀⢻⠄⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⢩⡿⠋⢹⣿⣿⣿⣟⣻⡇⠈⠙⠳⢦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠿⣳⢦⣤⣤⣼⣿⣿⣿⣿⣿⣋⣄⣈⣻⣆⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣔⣏⣄⣤⣼⣿⣿⣿⣿⣿⣥⣶⣶⡾⠟⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠛⠁⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠋⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⡟⠉⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⡶⠶⠶⠶⠿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
not funny i didn't laugh. your joke is so bad i would have preferred the joke went over my head and you gave up re-telling me the joke. to be honest this is a horrid attempt at trying to get a laugh out of me. not a chuckle, not a hehe, not even a subtle burst of air out of my esophagus. science says before you laugh your brain preps your face muscles but i didn't even feel the slightest twitch. 0/10 this joke is so bad i cannot believe anyone legally allowed you to be creative at all. the amount of brain power you must have put into that joke has the potential to power every house on earth. get a personality and learn how to make jokes, read a book. i'm not saying this to be funny i genuinely mean it on how this is just bottom barrel embarrassment at comedy. you've single handedly killed humor and every comedic act on the planet. i'm so disappointed that society has failed as a whole in being able to teach you how to be funny. honestly if put in all my power and time to try and make your joke funny it would require einstein himself to build a device to strap me into so i can be connected to the energy of a billion stars to do it, and even then all that joke would get from people is a subtle scuff. you're lucky i still have the slightest of empathy for you after telling that joke otherwise i would have committed every war crime in the book just to prevent you from attempting any humor ever again. we should put that joke in text books so future generations can be wary of becoming such an absolute comedic failure. i'm disappointed, hurt, and outright offended that my precious time has been wasted in my brain understanding that joke. in the time that took i was planning on helping kids who have been orphaned, but because of that you've wasted my time explaining the obscene integrity of your terrible attempt at comedy. now those kids are suffering without meals and there's nobody to blame but you. i hope you're happy with what you have done and i truly hope you can move on and learn from this piss poor attempt 🫵😂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢟⣙⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡟⠘⣟⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣟⡞⠀⠀⠘⡿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⡀⠀⠀⠀⠀ ⠀⠀⠀⢠⡟⠋⠈⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⡝⠁⠀⠀⢀⠸⣜⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡁⠹⢻⡆⠀⠀⠀ ⠀⠀⠀⠘⣧⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⣾⠁⠀⠀⠀⠈⣃⣹⡹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⣸⠇⠀⠀⠀ ⣰⠾⢛⣛⡛⠇⠀⠈⢿⡄⠀⠀⣀⣀⣀⣤⡤⠤⠶⢖⣾⣿⣿⣿⣿⣏⡀⠀⠀⣠⣽⡿⣿⣟⣿⣿⣷⣶⣦⣤⣤⣤⣀⣀⡀⠀⢀⣾⠟⠀⠸⠟⢛⡛⠷⣆ ⣿⠀⠀⠉⠙⣧⠀⠀⢸⡇⠀⣿⠋⢩⠤⢒⣒⡛⠉⠉⠁⢰⡿⢋⣤⣬⡻⣦⢰⣟⣥⡤⣤⠙⡗⠀⠠⠉⠭⣽⣛⣚⢻⡝⣻⡆⢸⡇⠀⠀⢰⠛⠉⠁⠀⣹ ⢸⡷⣤⣤⡴⢻⡄⠰⣿⣷⠀⠙⢷⣌⠻⣌⠁⠀⠀⠀⠀⢸⣅⣿⣿⣿⣇⣿⠹⣿⣿⣿⣾⣇⣟⠀⠀⠀⠀⠀⢀⡴⢋⣴⠟⠁⢸⡿⠆⢀⣾⢧⣤⣤⢴⡏ ⠈⢿⣄⣄⣠⡾⢷⣘⣼⡟⠀⠀⠀⠹⣷⣌⠳⣄⠀⠀⠀⠈⢿⣿⣿⣿⡿⠁⠀⠙⢿⡿⣿⣇⠋⠀⠀⠀⢀⡴⢋⣴⡿⠃⠀⠀⢸⣯⣳⣼⢿⣄⣠⣄⣾⠃ ⠀⠀⢿⣏⣅⣀⣾⠿⠋⠀⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⢀⣠⣾⣏⣈⣠⣤⣤⣀⣀⣰⣶⣭⡷⠀⠀⠀⢈⣴⡿⠋⠀⠀⠀⠀⠀⠙⠿⣷⣀⣨⣩⡿⠀⠀ ⠀⠀⠀⠉⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⡄⠀⠈⠹⣿⣷⣌⣉⣉⣉⣉⣡⣾⣿⠏⠃⠀⠀⣴⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠙⢿⣿⣟⠛⣿⢛⣿⣿⠟⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠉⢛⠻⠟⠛⠋⠁⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⢀⣤⡴⢶⣦⣄⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⣀⣴⡾⠛⠉⠀⠀⠈⠙⠿⣶⣄⡀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣀⣠⡴⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢷⣤⣀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⢔⣒⠂⣀⣀⣤⣄⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⣿⠋⢠⣟⡼⣷⠼⣆⣼⢇⣿⣄⠱⣄ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⡀⣆⠙⠢⠐⠉⠉⣴⣾⣽⢟⡰⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣦⠀⠤⢴⣿⠿⢋⣴⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡙⠻⣿⣶⣦⣭⣉⠁⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠈⠉⠉⠉⠉⠇⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣘⣦⣀⠀⠀⣀⡴⠊⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⢻⣿⣿⣿⣿⠻⣧⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠫⣿⠉⠻⣇⠘⠓⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢶⣾⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣧⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠙⠻⢿⣿⣿⠿⠛⣄⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢶⣤⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣵⣿⣯⣽⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣷⣦⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠙⠉⠌⠉⠀⠁⠀⠀⠘⠉⠉⠉⠉⠈⠀⠤⠐⠀⠁⢀⠀⢸⢿⣿⣷⣌⠛⠶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⠟⠋⠉⠁⠀⠀⡀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠄⠂⠀⠸⢄⠈⢿⣿⣿⣧⡄⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⠟⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠈⠛⠦⢻⢿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⣀⡀⠀⡇⠀⠠⠁⠂⡔⣿⣿⣿⣿⣿⣿⣏⡛⠻⣆⠀⢂⠌⣑⠢⠄⠀⠀⠐⠀⠉⠋⠉⠁⠀⠀⠀⠄⢂⠡⠒⠄⡡⢨⣿⠟⠉⢰⣿⣿⣿⣿⣿⣿⠐⠀⡀⠄⠀⠀⠀⠀⠀⠀⣤⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠋⢿⣇⠀⠃⠈⠄⡁⠆⢤⣿⣿⣿⣿⣿⣿⡗⢨⢱⣬⡗⢈⡘⠄⢂⠌⡒⠤⠀⠆⠀⡀⡤⠂⠀⠒⠙⠤⢂⠄⡉⠐⢰⣿⣿⠀⣴⣠⣿⣿⣿⣿⣿⣿⡀⡀⠒⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠜⣿⣆⠀⡌⠠⠡⠌⠤⠿⣿⣿⣿⣿⣿⡇⢀⠂⡹⣷⡠⠌⠰⣉⢄⡐⠀⢊⠀⠁⠐⠀⠂⠸⠦⠀⢀⠂⠄⠃⣼⢂⣿⣯⣼⣉⣼⢻⣿⣿⣿⣿⣿⣄⡝⠀⢀⠀⢀⡜⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⡄⠀⠀⠈⣿⣤⣇⠄⠱⣈⠲⣉⣿⣿⣿⣿⣿⡗⡤⠈⢀⠹⣿⣎⣴⣌⠀⠀⠐⠠⠤⢠⠀⠀⢀⠀⠀⣆⠀⠠⢈⢼⣣⣿⣿⣿⣿⣹⣾⢹⣿⣿⣿⣿⡿⡜⢀⢠⡞⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠀⠁⠀⣹⣷⠻⢷⣆⡀⠣⣿⣿⣿⣿⣿⣿⣟⠰⣧⠈⠌⣿⣿⣧⡝⡃⠌⡀⠀⠀⠀⠠⠔⠂⠀⠈⠙⠀⢤⣮⣿⣿⣿⣿⣿⡟⣹⣰⣯⣿⣿⣿⣿⡗⣠⡷⢈⠡⣠⣿⣅⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣾⣾⣿⣿⣧⠈⡝⢿⣴⣉⡿⣿⣿⣿⣿⣯⠘⡹⢧⠄⠪⠟⢛⠻⠷⢶⣄⠠⠀⠀⠀⠀⠀⢀⡀⢤⣔⣴⡾⠷⠶⠆⠨⠋⢡⠉⢻⢹⣿⣿⣿⣿⡖⢉⣰⣾⣿⣿⣿⡿⢻⡿⢶⣄⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡾⠿⣿⡏⠡⢘⢭⣿⣾⢿⣷⣶⣤⣽⣦⣼⣿⣿⣿⣿⣿⡃⢄⠃⡘⠄⡐⠠⠐⠈⡀⠈⠛⠿⠶⠶⠾⠿⠿⠿⠿⠛⠡⠐⠀⠀⢂⡐⢀⠂⠌⣸⣿⣿⣿⣿⠗⠚⠻⣿⣿⣿⡯⢿⣿⣦⡝⡠⠌⠙⣿⡻⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣾⠋⢀⠠⣿⡆⢰⢋⢞⣿⣧⣻⣿⡇⠀⠈⠛⠾⢉⣿⣿⣿⣿⣗⡂⠡⢘⠀⠂⠥⢢⠀⠄⠐⠀⡀⠀⠀⠀⠀⠀⠀⢠⠀⠡⠄⠠⢈⠶⢀⠃⠄⠂⣼⣿⣿⣿⠏⠀⠀⠘⣿⣿⢿⣳⢍⣿⣿⣷⣵⠨⡐⠘⣷⣤⠬⣙⡻⢶⣤⣀⠀⠀⠀⠀ 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