⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⢨⣽⠟⠋⢁⣤⡭⣍⡛⠧⣤⣄⣀⠀⠀⠀⠉⠉⠉⠋⠭⠭⠉⠉⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⡀⠀⢿⣧⣀⣼⠗⠀⠸⠟⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠒⠢⠤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣶⣦⣤⡀⠀⠀⠀⠀⢀⣀⣉⣿⣷⡶⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠦⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠦⣄⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢦⡀⠀⠀ ⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣴⣶⣶⣤⣤⣤⣤⣤⣄⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠴⠖⠒⠒⠒⠒⠶⢤⣄⣀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣤⣤⣿⣆⠀ ⣿⡿⠟⢛⣿⠃⠀⠀⠀⠀⠀⠀⢠⣶⠿⠿⠛⠛⠛⠛⣛⣛⣛⣛⣛⣛⣿⣿⡿⠿⠿⠋⢀⣠⠶⢒⣶⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣿⣟⣛⣛⣛⣛⣛⣛⠉⠻⡆ ⡟⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠖⢲⣿⣿⣿⣿⣿⠛⠳⣖⠂⠐⡇⣰⠿⣡⠶⠋⠀⠀⠀⣠⣶⣿⣿⣷⡀⠀⠀⢀⣤⣶⣤⡀⠀⠉⢧⡤⠟⣿⣿⣶⣾⢷⡶⢤⣷ ⣿⣦⣴⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠒⠒⠛⠛⠛⠛⠛⠒⠒⠛⠃⠀⠁⠟⢰⡏⠀⠀⠀⠀⠸⣿⣿⣿⣻⡿⠁⠀⠀⠸⣿⣿⣿⡿⠀⠀⢸⡷⠒⠚⠛⠛⠛⠛⠓⠊⢹ ⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⣄⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⣠⠟⠀⢀⣀⠀⠀⠀⠀⠀⠀⡾ ⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠶⠦⠤⠤⠤⠤⠤⠤⠤⢤⣤⣤⠴⠶⠾⠿⠷⣶⣶⡿⠧⢤⣀⡀⠀⠀⣸⠃ ⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣠⣶⣿⣥⡤⠤⣄⡀⠀⠀⠀⠀⠉⠓⠲⣄⡉⠳⣾⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⠟⢉⢹⡹⠿⠃⣴⣦⠹⣶⣤⣤⣤⣀⣀⠀⣨⡗⠀⠈⢷⠀ ⠈⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢿⡹⣧⣎⠀⠉⠛⠒⠦⠴⠾⠋⠁⠹⢿⣟⡿⠛⠁⠀⠀⠀⠘⡇ ⠀⠀⠀⠀⠀⠈⠉⠛⠻⠿⠿⢿⣿⣿⣿⣿⣿⣷⣶⣤⣤⣤⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠈⠓⠮⣙⠳⠦⣤⣀⣀⠀⠀⣀⣠⠶⠋⠁⠀⠀⠀⠀⠀⢀⣼⠃ ⠀⠀⠀⢀⠀⣠⡄⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢻⣿⣿⣧⠻⣄⡀⠀⠈⠙⠲⠤⣌⣉⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠛⠁ ⠀⠀⠀⠈⠀⡿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣷⣄⣙⠳⠤⣀⡀⠀⠀⠈⠉⠓⠒⠲⠤⢤⣤⣤⣶⣟⠋⠁⠀⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⢀⣀⡀⠈⠉⠉⠋⠛⠒⠒⠿⠿⠶⠤⠤⠤⠶⠒⠛⠋⠉⠁⣺⣿⣿⣿⣿⣿⣷ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⣩⡟⣉⣛⣍⣿⠟⠋⡀⠉⠻⠈⢐⣉⣈⡙⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣟

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