博弈 Emoji Combos

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣷⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣏⣽⣿⣿⣿⣿⣿⣿⠿⢛⣟⣉⣀⣀⠀⠀⠀⠀⣘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠰⠛⢉⣩⣽⣿⣓⠀⢀⣾⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠘⠿⣿⣿⣿⠏⠀⠈⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⠉⠉⣿⢻⣿⠀⠀⠀⠀⠀⠀⠈⠀⠀⣀⠀⠀⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣦⠐⠺⠈⣿⢷⠀⠀⠀⠀⠀⠀⠀⠀⠻⣞⣻⡏⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⡶⠚⠃⠀⠀⠀⠀⠀⠀⠀⣀⣐⣥⣼⣿⣿⢺⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⠇⠀⠀⢾⡄⠀⠀⠀⠀⠀⠈⠁⠀⠐⠚⣻⠏⣉⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⣿⠏⠀⠀⠀⠀⠙⢦⣤⣀⠀⡀⠀⠀⠀⠀⠐⣻⡾⢁⡆⣨⣷⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⢹⣾⣇⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⢶⣿⣿⣦⠶⢾⣿⣁⣾⣴⡿⠀⣹⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⠤⠖⠋⠀⠀⠀⢻⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⣠⢾⣿⡇⠀⠀⠀⠈⠉⠉⠀⢀⣴⠿⠃⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣠⠴⠒⠉⠉⠁⢀⠉⠢⠶⠀⠀⠀⠀⠀⢹⣿⡄⠀⠀⠀⠀⠀⠐⠋⢁⣾⣿⠿⡆⠀⠀⠀⠀⠀⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⣶⣄⣀⡀⣀⣀⡴⠞⢻⣷⡀⠀⠀⠀⠀⠀⣴⣿⣿⠃⠀⢹⡀⠀⠀⠀⠀⢹⡗⠲⢄⡀⠀⠀⠀⠀⠀
⠀⢰⠇⠐⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⣇⠙⠉⠁⠀⠀⢲⣿⣷⠀⠀⠀⠀⠀⣽⣿⠃⠀⠀⠀⢧⠀⠀⠀⠀⠀⣿⡀⠀⠙⢦⠀⠀⠀⠀
⠀⡞⠀⠀⠀⠈⠑⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⢀⠀⡀⢿⣿⡏⠻⠶⣤⣼⣿⡏⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠸⣇⠀⠀⠀⢷⠀⠀⠀
⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⢸⠀⠘⢾⣿⣿⠀⠀⢸⣿⣿⠃⠀⠀⠀⡀⠀⢹⡀⠀⠀⠀⠀⢻⡄⠀⠀⢀⣇⠀⠀
⢸⠁⠀⠀⠀⠀⠐⢤⣀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢻⠀⠀⢸⣿⣿⠀⠀⣾⣿⡟⠀⠀⢀⡜⠁⠀⠋⡇⠀⠀⠀⠀⠀⢳⠀⠀⠁⢹⠀⠀
⢸⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⢸⣧⣿⠀⢰⣧⣽⠃⠀⢠⠎⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠈⣧⠀⠀⢸⠀⠀
⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣭⣿⢠⣾⣿⡏⠀⣠⠏⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠘⣇⠀⢸⠀⠀
⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣸⣿⣿⣷⣴⠃⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠘⡆⠈⣇⠀
⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⠟⣻⡋⠙⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠘⡄

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⚽🏉🏟🏑🤸🏒🏃🏾🥍🏋🏈🏓🤼🤾‍♀️🚴🏿🥎🏏🤺👟🏅🎽🛹⛷🎿⛸🤽🏀🎯🏹🏸

🎽⚽🏉🏈🏆🏏🏀🏟🏑🏒🥍🏅🤽🥇🥈🥉

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

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