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