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

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⠀⠀⠀⠀⢀⣸⣷⣼⠿⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⣯⠹⠟⠁⢀⣴⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠋⠉⣻⠶⠚⠿⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣸⣷⡋⠀⠺⠷⣆⡀⠈⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⠶⠛⠋⠉⠉⠉⠓⠒⠦⣄⡀⠀⠀⠀⠀⠀ ⠀⠘⠋⢙⠏⠀⢰⠖⠋⣹⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀ ⠀⠀⠀⢯⡀⠀⢸⠦⡴⠃⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⣰⡟⠁⠀⠀⠀⠀⠀⠀⣀⡤⠤⠒⠒⠦⢤⡀⠀⠙⣆⠀⠀ ⠀⠀⠀⣠⠟⠶⠞⠀⠀⠈⢣⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⣠⣞⣭⡤⠤⣄⡀⠀⠀⠙⢷⡀⠘⡆⠀ ⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⡇⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⢠⠞⠋⠁⢀⣀⣀⣀⡈⠑⢦⡀⠀⢻⡄⢹⠀ ⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⣧⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠴⠚⠛⠒⠢⢄⡉⠳⣆⠹⣄⠀⢷⢸⡇ ⠀⡿⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃⠀⠀⢿⣦⣀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⢀⣀⡠⠤⣤⣀⠑⡄⠘⢷⣿⡄⢸⣾⡇ ⢸⡇⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠉⠛⠛⠲⠶⠤⠬⣄⡀⠀⠀⠀⠀⢀⣈⡉⠙⠢⡀⠈⠻⣿⡀⠈⣿⡇⠀⣿⠃ ⢸⡇⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠐⢶⣤⣉⢿⠓⢦⣸⡆⠀⢹⡇⠀⢸⡇⢀⡟⠀ ⠈⣷⠀⠀⠀⠀⢰⠁⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠙⣄⠈⣷⡙⢧⡇⠀⢿⠇⠀⠘⠀⠀⠀⠁⠈⠀⠀ ⠀⢹⣆⠀⠀⠀⠘⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡄⠀⠀⠀⠀⠸⣄⢧⡇⠈⣿⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠻⣦⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⡀⠀⠀⠀⡟⣸⠃⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⢷⣄⡀⣀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠶⣤⣀⠠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠳⣤⡑⢦⡈⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣹⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣦⠀⠙⣦⠈⠙⠓⠶⠦⠤⠤⠤⠄⠠⠤⣴⡶⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠘⢷⠀⠀⠀⢀⣴⠶⠒⠒⠒⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⠘⣧⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠶⢒⠺⣧⡤⢾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢸⠀⠀⠆⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⡤⠏⢸⣦⠀⣸⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠚⠛⠛⠛⢛⣫⣴⣿⣶⣶⠋⣸⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠉⠉⠉⠉⡿⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠦⢤⣄⠀⠀⠀ ⠀⠀⠀⠀⠐⠃⠀⠀⠀⠀⠈⢂⡠⣾⣿⠀⠀⠀ ⠀⢠⠀⠀⠃⢣⠠⢀⡢⡀⠀⠀⢠⠈⡍⣠⠀⠀ ⡄⢈⢗⣒⣈⠃⡠⠀⢌⠷⠀⠀⠀⡀⠑⠈⠢⡀ ⠘⡫⠬⢒⣲⠌⡠⠀⠄⠰⡇⠀⣴⣤⣴⢆⣦⣾ ⠀⢀⠍⡩⢋⠝⢀⠤⠌⣾⡷⠋⠁⢸⠀⠀⠀⡄ ⠲⡀⠔⢕⠋⡔⠁⡠⠂⣯⢀⡄⢀⣸⠀⢀⠜⠀ ⠀⠀⡜⠆⠰⡇⡜⠀⠼⠍⢁⡓⢡⡋⡠⠁⠀⠀ ⠀⠀⠃⠀⠆⣼⡀⢺⠢⠜⠬⣇⢹⠊⠀⣀⠀⠀ ⠀⠀⠴⠌⠀⠸⠡⣀⠀⠀⠸⡌⠛⠒⠈⠖⢿⢶ ⠀⠀⠀⠀⠀⠀⠀⠙⠆⠀⠀⢣⠀⠀⠀⠀⠘⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠚⠒⠛⠂⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠁⠋⠛⠛⠛⠛⠛⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠟⡷⣯⣷⣟⣾⣻⢿⣷⣞⣻⣷⠿⠛⠈⠀⠉⠟⠿⣽⣿⣟⡷⣽⢿⣯⣽⣿⢾⠛⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠃⣿⣞⣿⣿⣽⢿⣯⣽⡿⣿⣿⣿⣷⢯⣿⣯⡿⣟⣯⢿⣷⣟⡿⣿⣿⡾⣽⡿⣷⣽⣿⣷⠙⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣾⣽⣾⣿⣯⡷⢿⣯⢷⣻⣽⡾⣽⣻⢷⣾⣟⣿⢾⣻⣿⢯⣽⣻⢾⣽⣾⣟⣿⡷⣻⣷⣿⠸⠀⠀⠀⠀⠀⠀ ⠃⠚⣿⣿⣟⣯⢾⣽⣾⡿⣟⣿⡿⣞⣿⣯⣞⣿⣷⣿⣷⣿⣻⢿⣻⣽⢾⣿⣯⣟⣽⣿⣾⡿⣳⣿⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⣇⣿⣼⣦⣿⣟⣯⢷⣾⣿⡷⣯⢷⣻⣿⣳⣿⣾⣿⣿⣟⣻⢿⣷⣯⢷⣻⢾⣽⣻⣿⣳⣿⣿⢩⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⣦⢿⠙⡈⣄⣦⣷⣷⣟⣯⣳⣿⢯⣻⣽⢿⣯⣷⣞⣿⣽⡿⣯⣞⣿⡽⣾⣻⢷⣻⣿⣾⢠⠀⡀⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⡄⣶⣿⠛⠉⡅⣿⣽⣾⣿⢳⣿⣿⣽⣿⣯⣷⣿⣯⡟⣽⣿⣯⢻⣽⣿⣿⣿⣾⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣤⣷⣿⡿⣿⣟⣻⣷⢿⣷⡽⣿⣯⡷⣽⡾⣿⣿⣟⡿⣾⣷⣤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⠞⡤⣀⠀⠉⡀⣄⣦⣿⡿⣳⣽⢾⣿⣯⡽⣾⣻⣿⣼⢀⠀⠀⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⢈⠀⠁⡼⣀⠀⠀⠻⡀⣷⣽⣻⣷⢿⣯⣳⣿⣞⣿⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣆⣸⣀⢺⠛⠛⠍⣦⣼⡏⣾⣻⣿⡿⣿⣿⡿⣟⣯⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣆⣹⣿⣿⣿⣿⢻⣿⣾⣟⣿⣼⢀⠛⡀⣿⡿⣞⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠃⠿⣿⣿⣿⣴⣧⣿⢯⣷⣟⣿⠛⠟⢿⠿⣿⣻⣽⣿⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠇⣿⣿⣿⣼⢀⠀⡇⣿⣯⣳⣿⣿⣿⣿⣿⣿⣿⣽⡿⣯⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡿⣿⣿⣾⠀⠀⠀⡇⣿⣯⣿⣿⣿⣯⣷⣟⣯⣷⣿⢿⣯⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣇⣿⣿⣿⠿⠿⡿⣿⣿⢯⣿⣿⣾⣷⣿⡿⣿⣶⢿⣻⣷⣿⠿⠻⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⣦⣷⣿⣿⣿⣿⣿⢷⣿⣿⣿⢿⠀⣇⣿⣿⠹⡀⣷⣿⣿⣿⣿⣿⣿⣿⠻⠙⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣯⣿⣿⣿⣹⠀⡁⣿⣿⣬⠈⡇⣿⢸⡀⣄⣤⣶⣿⣿⣴⣯⠶⠓⠛⠈⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣾⣟⣿⣿⣿⣴⠀⡟⣿⣿⢲⡠⡟⣿⢠⠀⠀⠀⠀⡀⣧⡼⢂⡝⣀⣉⣈⣧⠸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣷⣟⢯⣿⣿⠿⡻⣽⣿⣻⠛⡿⣿⣸⠀⠀⠀⠀⠀⠀⡆⢿⠁⡼⣀⣀⣀⣄⢧⠘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣾⣽⡿⣳⣿⣽⣾⣿⣯⣷⣿⣾⣿⣾⠀⠀⠀⠀⠀⠀⠀⡇⣸⠃⣼⡠⣀⣄⠦⣿⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⣽⣿⣷⣯⣿⡿⣞⣿⣯⣟⣷⡾⣟⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⣧⣌⢦⠛⠟⡿⠿⣴⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠟⣿⣼⣟⡼⢿⣧⡟⣧⣿⢿⣿⡿⣿⣿⣿⢠⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⢸⠀⡄⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠃⣽⡾⡽⢾⣟⣳⡽⣳⣻⣷⣽⣟⣯⢯⣟⣧⢾⠙⠀⠁⠋⣿⠙⠉⠀⠀⠀⢹⠀⠀⣏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⣻⢷⣳⣟⢳⣻⣳⣽⡟⣳⣿⡽⢯⢷⣫⣽⣞⣿⡀⣀⣦⣿⣠⣇⠸⠀⠀⣄⠤⡤⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⡿⣻⣿⡟⣳⡽⢾⣳⡽⣳⣿⡼⣻⡾⣝⡾⣟⣼⠀⠀⠁⢢⠋⡿⣿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣹⠀⡄⣿⡟⣭⣻⣳⣿⣳⣼⢻⣾⣛⣿⣰⠀⠀⠀⡀⣄⣶⣿⣿⣾⣤⢠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡄⣷⠙⠀⡀⢦⣷⡟⣯⣻⢷⣮⢻⣿⣴⢀⠀⠀⠀⠀⠀⠀⠀⣇⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⢿⠛⠉⠉⣻⣝⡿⣟⣾⣤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣀⠀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⢠⣖⠒⠛⠉⣻⣿⣶⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣀⣠⢾⢿⣿⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠇⠸⡀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⢸⠈⠙⢺⠉⠳⡀⠀⠀⠀⠀ ⠀⠀⢸⣆⠀⠀⠀⢰⡀⡳⠒⠀⠒⢬⡻⣦⡀⠀⠀⠀⠀⡇⠀⢸⠀⣷⡽⠀⠀⠀⠀ ⡀⠀⠈⣯⠶⠒⠀⠉⣹⠀⢀⡴⠲⢄⠙⢿⢳⡀⠀⠀⠀⢸⠀⠈⠓⠁⠈⠢⡀⠀⠀ ⠸⣤⠞⠓⠲⢭⣉⣉⡇⡰⠋⠀⠀⠈⢣⠈⡆⡇⠀⠀⢀⡞⢀⡀⡀⣠⠀⡄⢼⣦⠀ ⠀⠹⢍⡙⠉⠉⣥⡤⡿⢁⣴⠊⠉⢳⠈⢇⢸⡄⠀⣠⣿⣿⣿⣷⢷⠟⢦⡟⢾⣿⡆ ⠀⠀⠀⡸⠋⠀⢉⠟⢋⠟⠁⠀⣀⡀⢧⠸⣸⣗⡾⠛⠉⠀⢸⠀⠀⠀⠀⠀⠀⡇⠀ ⠀⢀⡜⠁⢀⡴⢃⣴⠋⢀⠖⠉⠀⠀⢙⣷⡿⠁⠀⠀⠀⠀⢸⠀⠀⠀⠀⢀⡼⠀⠀ ⠙⢯⣀⠴⣹⢡⣾⠃⢰⠃⠀⢀⡴⠊⢁⣾⣴⠀⣠⡆⢀⣤⢸⠀⠀⠀⢀⠞⠀⠀⠀ ⠀⠀⠀⢠⣷⢃⠇⠀⣿⠀⢠⠋⠀⢀⡞⢋⡓⠋⠸⠴⠋⠹⡞⠀⢀⠔⠁⠀⠀⠀⠀ ⠀⠀⠀⣼⠃⡸⠀⢸⢹⢠⡇⠀⣠⠎⡉⠉⢤⠤⣶⢀⣰⡷⣣⠞⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠋⠀⡇⠀⡆⢸⣸⡇⠀⢳⣞⡡⣴⣟⣤⢿⡋⠘⡖⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡼⢀⡼⠀⠈⣿⢱⠀⠈⠀⠀⠀⠀⠘⡆⡿⣦⣟⣂⠰⠾⣭⣩⣷⣤⣀⠀ ⠀⠀⠀⠾⠓⠋⠀⠀⠀⠙⠀⢣⣠⠀⠀⠀⠀⠀⡿⠀⠀⠁⠀⠀⠘⠋⠁⢹⡏⢻⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡆⠀⠀⠀⠀⡇⡆⠀⠀⠀⠀⠀⠀⠀⠘⠃⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠇⠘⢢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀
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