⠀⠀⠀⠀⠀⠀⠀⠛⠿⠛⢹⣿⣷⠠⣾⡮⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣿⡿⠛⠿⣿⣶⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠘⢿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿
⠀⠀⠀⠀⠀⠀⠀⠴⣾⡿⢿⣶⣄
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣼⣿⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣶
⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣾⣿⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⠀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⣿⠋⠘⢿⢫⣦⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣷⠐⢿⠋⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿
⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⢿⣿⣶⣄
⠀⠀⠀⠀⠀⠀⠀⠘⠿⣧⣼⣿⡿⠀⠙⢿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠈⠿
⠀⠀⢠⣴⣾⣤⣤⣤⣤⣤⣤⣤⡀
⠀⠀⠀⠙⠛⠋⠉⠉⠁⠀⢹⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⡿⠀⣠⣦
⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⣿⣿⣆⠀⣨⣏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⠀⠙⠋
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣼⣿⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⣿⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⣿⣿⣏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣤⣤⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⢿⠟⠁⠀⢹⣿⣦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠷⠶⡿⠿⠋
⠀⠀⠀⠀⠀⠀⣀⠀⠀⣠⣴⣶⡶⣶⣶⣄⡀
⠀⠀⠀⠀⠀⠘⠿⠇⠀⠉⠛⠉⠀⠈⠻⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⡄
⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⠿⣿⣦⠀⢠⣿⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⡟⠀⠀⣀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠹⣿⣿⠀⠘⠿⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿
⠀⠀⠀⠶⣶⣶⣶⣶⣶⣶⣿⡿⠿
⠀⠀⠀⠀⠉⣉
⠀⠀⠀⠀⠙⠿⠃⢀⣤⣤⣤⣤⣀
⠀⠀⠀⠀⠺⡿⠂⠀⠛⠛⠉⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣀⣀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⢿⡿⠋⠙⢻⣿⣶
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠉
⠀⠀⠀⠀⠀⠀⠀⢠⣴⣶⣶⣦⣄⠀⠈⣿⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠀⣿⣿⠀⠘⠿⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣤⣤⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⢿⡿⠛⠁⠙⣿⣷
⠀⠀⠀⠀⠀⠀⠀⣠⣶⡄⠀⠀⠀⠀⠀⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⣀⠀⠀⢀⣿⣿⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⠶⠿⠿⠋
⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⣦⡄
⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⣿⣧
⠀⠀⠀⠀⠀⠀⠀⠻⣷⣤⣾⣿⣿⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠋⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣿⣿⠇
⠀⠀⠀⠀⠀⠀⣀⠀⠀⠘⠛⣿⣷⡄
⠀⠀⠀⠀⣴⣞⠟⠃⠀⢠⣴⣿⣟⠁
⠀⠀⠀⠀⠈⠑⠿⠂⠀⠀⠈⣿⣿⠆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠿⣿⣯⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇
⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⣀⣿⣿⣧⣤⡀
⠀⠀⠀⠀⠀⠘⠿⠂⢠⣿⡟⢻⣿⡏⠹⣿⣦
⠀⠀⠀⠀⠀⠰⣿⠆⠈⠛⠷⣿⡿⠃⠀⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⢶⣶⣾⣿⠛
⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡆
⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⠀⠀⠴⣿⠆
⠀⠀⠀⠀⠀⠀⠀⣿⣿⠋⢿⣷⡀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠙⢿⡆⢸⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⣀⣀
⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣈⣛⢿⣾⣿⡟⠁
⠀⠀⠀⠀⠀⠀⠺⣿⣿⣏⣹⣿⣴⣿⠟⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢻⣿⡏
⠀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣼⣿⡇
⠀⠀⠀⠘⠛⠛⠛⠛⠉⠉⠉⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⡶⠶⣶⣄
⠀⠀⠀⠀⠀⠀⠀⢀⡈⠉⠛⠉⠀⠀⢿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠿⡷⠀⠀⠀⠀⠀⢸⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣀⣠⣾⣿⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠁
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