Krusty Krab Emojis & Text

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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⣛⣛⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⢀⣤⣶⣾⣿⣿⠁⠀⠀⣾⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠘⠿⣿⣶⡿⣿⠄⠳⢄⣈⣙⣛⣫⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠇⢀⠦⣤⣄⣤⣤⣾⡇⠀⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⢿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠛⠻⠿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠘⣿⣿⣿⣿⣿⡿⠦⠴⠛⠛⠛⠛⠻⢿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⢈⣿⠟⠋⣁⣤⠤⡔⠒⡖⠢⢤⣄⡀⢹⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣿⡏⠀⡴⠚⣽⡀⢰⣧⣰⣧⢀⣮⢠⣫⣿⡁⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠘⠹⠀⣼⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⡇⠀⠀⠀⣷⡀⢀⣴⣇⠀⣠⡟⠀⢀⡀⠀⠀⢸⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⡇⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⠿⠿⣟⠻⣿⣿⣿⢿⣿⣿⡀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⡇⠀⠀⣼⣿ ⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⣇⠀⠀⠀⠀⠀⣿⣿⣿⣿⠁⠐⣦⣌⣁⣽⡿⠿⣌⠿⣿⣿⣶⣿⣿⣿⡿⣿⠟⣿⠟⢻⡟⠛⠃⠀⢸⣿⣿ ⣿⣿⣿⣿⣿⡿⠁⠀⠀⢀⠀⢷⠀⠀⢰⠗⠋⠉⢉⣿⠟⢲⡴⠛⢿⠋⢻⣀⡤⠼⠖⠶⠉⢹⣿⣿⣿⡀⠉⠀⠈⠀⠀⠀⢀⡄⢠⣿⣿⣿ ⣿⣿⣿⣿⠏⠀⢀⡇⠀⠸⡄⠘⣇⢀⡏⠀⢠⢶⡟⠿⢄⣠⠧⠖⠚⣉⣁⣀⡤⠤⠤⢤⣤⣿⣿⣿⣿⣷⣄⡀⠀⠀⢀⡴⢋⣰⣿⣿⣿⣿ ⣿⣿⣿⠃⠀⠀⣸⡄⠀⠀⢳⡀⠘⢾⡇⠀⠠⠟⠓⢲⣶⣶⠖⠚⠉⠉⠀⠀⠀⠀⠀⢸⠿⢿⣿⣿⣿⣿⣿⣿⣿⠿⢋⣤⣾⣿⣿⣿⣿⣿ ⣿⡿⡅⠀⠀⠀⠻⣉⡏⢹⡲⠃⠀⠀⢷⠀⡀⠀⠀⠿⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠄⡧⠽⠿⠿⠿⠛⢉⣡⣶⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡄⠙⣄⠀⠀⠀⠀⢇⠸⡄⠀⠀⠀⣠⠗⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋⠳⣽⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣦⣌⠓⢦⣀⠀⠘⢦⣙⡒⣚⣉⡤⠞⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢞⠅⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣦⣌⡙⠒⠦⢤⣉⣁⣀⡀⠀⠀⠀⢈⣙⣦⣄⣀⣀⣀⣤⣴⣋⣡⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡟⠻⢿⣿⣿⣿⡇⠀⢰⣤⣤⣄⣉⣉⣉⣭⣭⣥⣤⡴⣲⣿⣿⣶⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡅⠀⠀⠉⠻⠏⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣿⣿⡿⠿⠟⣹⢉⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠁⠈⠧⠤⠤⠒⠒⢋⡱⠋⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⣠⣾⠴⠫⠀⢀⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣦⣤⣀⣀⡀⠀⢠⣤⣄⣀⣀⣀⣀⣀⣀⣀⣬⣷⣾⣿⣷⣶⣖⠋⠉⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣧⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠈⠉⠒⠦⠤⠤⠤⠤⠤⠄⣒⣒⡚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣠⠴⠒⠓⠲⣄⢀⡴⠋⠉⠁⠉⠳⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⡆⢀⣾⡁⠀⠀⠀⠀⢨⡟⠀⠀⠀⠀⠀⣀⣾⡽⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⣇⡆⠀⠀⠀⢻⡸⢷⣹⡆⠀⠀⠀⢸⡇⠀⠀⢀⣰⣾⠉⠀⡇⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡟⢠⠏⠀⠀⠀⠀⠀⣿⣄⣀⡉⣿⣶⢤⣼⡧⡤⠞⣉⣿⣿⠤⠤⣷⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡁⣾⣴⡂⠀⠀⠀⣰⣿⣿⡋⠉⠙⠛⠖⢻⣿⡯⠉⠉⠀⠛⠋⢨⡏⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠉⢲⣦⣴⣿⣿⣿⣷⣄⠀⢀⡴⠋⠘⣧⡀⠀⠀⠀⣠⠟⢀⡀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⢠⣼⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⢸⠙⠓⠓⠛⠁⠀⢸⣿⣿⡿⠟⠋⠉⠉⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⡽⠛⠛⠛⠛⠿⣿⠋⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⣾⠿⢋⡤⠔⠒⠓⣶⣶⣦⡘⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⣸⣱⣿⡟⠉⠉⠒⢾⠀⠀⠀⠀⠀⠀⣧⠀⠀⢀⣐⣫⠤⠞⠉⠀⠀⠀⠀⣸⣿⣿⣿⡘⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡷⢿⣿⠉⠓⠒⡦⢾⠀⠀⠀⠀⠀⠀⢸⡍⠉⠉⠀⠀⠤⠤⠶⠒⠚⠉⠉⠁⠀⠸⣿⠇⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠘⢯⣀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢷⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡟⢀⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣬⣍⣉⡙⠘⣆⠀⠀⠀⠀⠀⠀⠘⣏⠉⠉⢍⠉⠉⠉⠉⢩⠉⠉⠉⠉⢀⣠⣾⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡟⡿⢿⣻⣆⠀⠀⠀⠀⠀⠀⡾⢉⣿⠷⣶⣶⣷⣾⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣳⣛⣿⣦⣄⣀⣀⣠⣴⣿⢻⣭⣻⣿⡿⣿⢿⣛⢯⡻⠽⣭⢏⣽⣷⡿⠛⠉⠈⠉⠁ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⡼⣏⡿⣿⣿⣿⡗⣮⣟⣿⡻⢵⣛⣬⢳⢎⡷⣹⢛⣬⣿⡿⠋⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⢶⣻⣷⢎⣿⡝⣞⢦⡝⣎⢯⠶⡭⢿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡹⢾⣿⣣⢏⡿⣟⡻⣝⢮⢳⣚⡝⣮⢳⣽⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢳⢞⣿⡹⣺⡰⢇⡷⣸⣞⣆⢟⡰⣇⣞⣸⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢛⢮⠶⣹⡱⣝⣫⡜⣧⢻⣮⢏⡳⣵⢚⡶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡿⣿⡿⣿⢿⡿⢿⠿⡿⢿⠿⣿⠿⣿⣿⣿⣿⣿⣎⠟⡮⡽⢥⡳⣭⠶⣹⢎⡷⣹⢿⣳⡱⢯⡜⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡏⡰⢁⠦⡙⠤⡑⡌⢢⠘⡌⡌⠥⣉⠚⡄⢻⣼⣿⣿⢨⣿⢎⡿⣱⢫⢷⡹⣖⠯⢧⣛⡼⢣⣟⣿⣏⣧⢻⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢡⠱⡈⢆⡡⢃⡒⢌⢡⠊⠴⡘⠤⡑⠬⡐⢡⣯⣿⣿⣧⡿⣹⢲⣍⢯⡞⣵⢫⡝⣧⣛⡼⣓⢾⣿⣞⢿⣗⡿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⢢⠑⡌⢢⠔⢣⠘⠤⢂⡍⢆⠱⡈⠆⣅⠣⢂⢶⣻⣿⣷⡿⣱⠯⣜⠾⣜⣣⠟⣼⢳⡬⣳⡹⢮⣿⣿⡌⠿⣿⣻⣿⣶⣄⠀⠀⠀⠀⠀⠀ ⢢⢉⠴⡁⢎⠢⢩⠌⡅⠒⡌⢢⠑⡬⢠⠓⡌⢼⣹⣿⣿⢻⣱⠻⣜⡻⡼⣱⢻⡜⣧⢳⡵⢭⡳⢽⣿⣧⠌⡩⢿⣿⣿⣿⣧⡄⠀⠀⠀⠀ ⡄⠌⡠⢁⠌⡠⢇⠸⡀⠏⡠⢁⡌⢠⠁⡌⡠⢌⣸⣿⡿⣇⣉⢿⡸⢧⣹⢡⡏⣼⢡⣏⡸⣇⠿⣡⠿⣿⡄⠡⢼⣿⣿⣿⣿⣿⣇⠀⠀⠀ ⣟⣾⣱⣏⣾⣱⣮⣷⣽⣯⣵⣯⣼⣧⣿⣾⣵⣯⣾⣿⣳⡹⢎⡳⣝⢧⡳⣫⡜⣮⢳⢎⡷⣩⠟⣥⢻⣽⣇⡣⠌⣿⣿⣿⣿⣿⣿⣷⣄⠀ ⣿⠿⠿⠿⠿⠟⡛⢛⡙⠫⢍⠩⢋⣿⣿⣿⢉⠩⢹⡿⣥⠻⣍⢷⡹⣎⢷⣱⣛⡼⣹⢎⡷⣭⠻⣜⠧⣾⣿⣆⠭⢻⣿⣿⣷⡈⡍⠭⡉⠷ ⣷⡨⢑⡘⢢⠉⡜⠰⢌⠱⣈⠑⡂⢾⣿⣿⡦⠑⣾⡿⣜⠻⣬⢳⡳⣝⡺⢦⡳⣭⢳⣫⡼⣲⠻⣜⣫⢖⣻⣿⡄⡋⢿⣿⣿⡥⠘⠤⡑⢊
THE DAȲ̴̧̱̭̯̹̗̥̬̬̭̠̉͆́̋͌̐̈̈ ̷̹͕̘͖̽͂̃͒̂́̊͗͂̔͝T̸͛̊HA̸͎͉̺͇͛̅̉̈́̈̎͝͝ͅͅT ̸̡͎̣̙͔͉͕̙͉̩̦͈̘͈̊͑͆͊̏͒̀̉̽̕͝͝Ķ̶̧̨̡̘͚̘͖̭͓͇̬̲̹̩̂́̆͂̎̌̅͒Ȓ̶̡̲͚͈͓̪̘̗̬̪̪͚̹͈Â̸̔BS ̴̢̨̰͓͍̝̯̥̤͈̖̪̹̏̏͂͛̈́̃̾͊̉̓̅̋̏F̴̻̳͚͖̞̤͍̥̫̤̀̃̀́͒̽͆̕R̸̃̀̎̈̌̏̕IẸ̸̡̦̹̤̼͉͕͙̗̠̤̼̖̬̈́͋̋̆S̴̨͍͉͙̻͉̼̩̯͕̽ͅ
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠚⣿⠛⠲⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⣀⡴⠃⠀⠀⠀⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⡾⠁⠈⠁⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⡞⠋⠉⠉⠉⠉⠙⠛⠲⢦⣤⣀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⣠⡴⠛⠉⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠷⢦⣤⣀⣀⣀⣀⠀⠀⣀⣀⣸⣤⡤⠶⠛⡁⠀⠀⠈⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠈⠉⢉⣉⣉⣉⣉⣉⡉⡁⠀⠀⡀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⣦⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠖⠛⠋⠉⠉⠉⠀⠈⠉⠉⠙⢻⡶⠀⠀⠀⢀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠳⢤⣀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⠀⠀⣀⣤⠀⠀⠀⠀⠀⢠⣬⣧⣀⣤⠶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⠦⣤⣁⣀⣼⡇⠀⠀⠀⠘⠟⢛⡩⠤⠤⢄⡀⣀⠼⠛⠻⢥⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢹⠁⠀⠀⠀⠀⡰⠃⠀⠀⢀⣄⠙⣇⠀⢀⡀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⢰⠃⠀⠀⠀⠸⠿⠀⢸⠀⠻⠟⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠘⢧⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢿⡍⠛⠒⠦⣄⠀⢸⠀⠀⠀⠀⠀⠀⠈⠓⠤⠄⠠⠤⠊⠉⠒⠂⠐⠒⠁⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣈⣻⣦⣄⣀⣼⣷⣎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⣰⠂⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣶⣟⣉⠁⣀⣈⣽⣁⣏⠈⠛⠦⣄⡀⠀⠀⠀⠀⠀⠀⠈⠳⣄⣠⠞⠁⠀⠀⠀⠀⠀⣹⣾⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣩⣟⡋⠁⠀⠉⠙⢦⡀⠀⠀⠉⠙⠒⠦⢤⣄⣀⣀⣀⣀⣀⣀⣀⣀⣠⡤⠶⢚⣥⣾⠉⠙⣏⠓⠲⢤⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠖⠋⠁⠀⠉⠓⣄⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠁⠀⠀⠘⠉⠀⡿⠀⠀⠈⢧⠀⠀⠙⢦⡀⠀⠀ ⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠙⠲⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠈⢧⠀⠀⠀⠱⡄⠀ ⠀⢀⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠙⠶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠹⡄ ⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠳⢦⣀⠀⠀⠀⠀⠀⠀⠀⢠⠾⡇⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⢳ ⣸⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣸⣁⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣸⣀⣀⣈⣙⣲⣤⣀⣀⣀⣴⣋⣀⣧⣀⣀⣀⣀⣀⣀⣀⣧⣀⣀⣀⣈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⠾⠿⠷⢶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠿⠁⠈⠀⠀⠀⠀⣭⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⢾⠏⠀⠀⠀⠀⠀⠀⠀⣠⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣾⠟⠉⠁⠀⢀⣠⣴⡶⠶⠶⢶⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠓⢖⣶⣾⡏⢉⣀⣤⣤⠤⣾⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣤⣾⣭⣿⢿⡿⠋⠁⠀⠀⠀⠀⠈⠳⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠻⢉⣹⠟⠁⡼⠀⠠⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠤⠬⠤⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠛⠦⣖⣠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠸⣄⣰⠚⠉⢙⣶⣄⠀⢸⣿⣷⡄⠀⠙⢗⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠰⡼⠠⡽⢶⠇⠀⠀⠿⢾⣿⣷⣼⣿⣿⣷⣷⠀⢘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⢼⡆⠀⢰⣶⣿⣿⣿⣿⣿⣿⣿⣿⠀⢨⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢠⣇⠀⠀⢿⡙⢿⣿⣿⠈⢿⡯⠎⡰⠋⠉⢹⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⡞⠀⠀⠀⣀⠼⠖⠒⠲⢽⠛⣻⠇⠀⠀⠉⣹⣧⣀⠀⠙⢿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢶⠇⠀⠀⠀⠀⣀⠀⢀⣀⡼⢿⣥⠤⠶⠚⢻⠁⠀⠀⠀⠀⠈⠳⣤⠤⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠈⠘⢦⣀⣠⠟⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡞⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⡀⠀⠀⠀ ⠀⠀⠀⠀⢀⡞⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀⠀ ⠀⠀⠀⢀⡞⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡁⠀⠀ ⠀⠀⢎⡞⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⢦⠀ ⠀⠀⡾⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠟⢀⣜⠀ ⠰⡏⠳⣄⠄⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡦⢤⣀⣀⣤⠴⠚⠉⣀⠔⠋⡇⠀ ⠀⠱⣤⣈⠙⠲⢼⡆⠀⠀⠀⠀⠀⠀⣰⠁⠀⠀⠀⠀⢀⣀⣠⣤⡤⠶⠒⡿⠀⠀⠙⣇⠀⠀⠒⠉⠀⠀⢰⠃⠀ ⠀⠀⢧⠀⠉⠀⠀⢳⡈⠀⠀⠀⠀⢠⠏⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⣰⣇⣴⡾⠷⣿⣿⣵⠄⠀⠀⢀⡏⠀⠀ ⠀⠀⠈⢧⡀⠀⠀⠀⠙⢄⣀⣀⡴⠋⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⢠⣾⢷⣿⣡⣤⣶⠿⠛⡏⠀⠀⣠⠟⠓⢶⡂ ⠀⠀⠀⠀⠱⣄⠀⠀⠀⠀⠀⡤⠖⠋⠉⠀⠀⠈⠉⠙⠒⠦⣄⡀⠈⢻⠿⠟⠋⠁⠀⠀⢰⠃⣠⠞⠁⠀⠀⢰⡇ ⠀⠀⠀⠀⠀⠈⠙⠦⣄⣠⠎⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⣇⠀⠀⠀⠀⠀⣠⡾⠯⠥⠤⠤⠖⠚⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠘⡦⠤⠤⠖⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠓⠒⠢⠤⠤⠤⠤⠤⠤⠞⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⡀ ⣿⡋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢙⣿ ⣿⡇⠀⠀⠀⣠⣴⠾⠿⠷⣦⡀⢀⣴⠾⠿⠷⣦⣄⠀⠀⠀⢸⣿ ⢸⡇⠀⠀⢰⡟⠁⠀⣀⣀⠈⢿⡿⠁⣀⣀⠀⠈⢻⡆⠀⠀⢸⡇ ⢸⣷⠀⠀⢸⡇⠀⠀⠿⠿⠁⣸⣇⠈⠿⠿⠀⠀⢸⡇⠀⠀⣾⡇ ⠘⣿⠀⠀⠈⠻⣦⣄⣀⣤⣾⠛⠛⣷⣤⣀⣠⣴⠟⠁⠀⠀⣿⠃ ⠀⣿⠀⠘⢷⣄⠀⠉⠉⠙⢿⠄⠠⡿⠋⠉⠉⠀⣠⡾⠃⠀⣿⠀ ⠀⣿⠀⠀⠀⠙⠻⢶⣦⣤⣤⣤⣤⣤⣤⣴⡶⠟⠋⠀⠀⠀⣿⠀ ⠀⣿⡄⠀⠀⠀⠀⠀⣿⣀⣹⡇⢸⣏⣀⣿⠀⠀⠀⠀⠀⢠⣿⠀ ⠀⢿⡇⠀⠀⠀⠀⠀⠉⠉⠉⠁⠈⠉⠉⠉⠀⠀⠀⠀⠀⢸⡿⠀ ⠀⢸⣿⣿⣿⣿⣟⠛⠛⠛⣻⡿⢿⣟⠛⠛⠛⣻⣿⣿⣿⣿⡇⠀ ⠀⢸⣿⣿⣿⣿⣿⣷⣤⣾⣿⣶⣶⣿⣷⣤⣾⣿⣿⣿⣿⣿⡇⠀ ⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀ ⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠻⣧⣼⠟⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
┏━┳━━━━━━━━┓╲╲ ╲┃◯┃╭┻┻╮╭┻┻╮┃╲╲ ╲┃╮┃┃╭╮┃┃╭╮┃┃╲╲ ╲┃╯┃┗┻┻┛┗┻┻┻┻╮╲ ╲┃◯┃╭╮╰╯┏━━━┳╯╲ ╲┃╭┃╰┏┳┳┳┳┓◯┃╲╲ ╲┃╰┃◯╰┗┛┗┛╯╭┃╲╲ 🧽🧽
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ง ( ⌓̈ )ง
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡶⢒⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣴⠟⠀⠈⠙⡆⠀⠀⠀⠀⠀⠀⠀⡟⢠⣠⣤⣶⣦⠀⠀⠀⣴⣶⣦⣤⣀⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠋⠀⠀⠀⠀⣥⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡿⠛⠀⠀⠀⠻⢿⣿⣿⠿⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠦⠤⣠⡤⠾⠃⠀⠀⠀⠀⠀⠀⣸⢉⡿⠿⠻⢤⣀⠀⢀⡤⠖⠒⠲⢥⡀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠏⠀⠀⠀⠀⠙⣶⠏⠀⠀⠀⠀⠀⠱⡄⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⢱⠀⠈⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠷⣄⣤⡾⠀⠀⠀⠀⠀⠀⠀⡼⢸⠁⢰⣾⣿⣿⠀⡇⣼⣿⣻⡄⠀⠀⠀⠀⡇⠀⢃⠈⠳⡀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣷⢸⡀⠘⢿⣿⡿⠀⣷⠹⣿⣿⠇⠀⠀⠀⢰⠇⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠻⡌⣇⠀⠀⠀⠀⢀⣿⡆⠀⠀⠀⠀⠀⢀⡾⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠹⢾⣁⣀⣀⣤⠾⠛⢿⣤⣀⣀⣠⡴⠋⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⢠⣤⠶⠖⠛⠉⠉⠉⠙⠒⠒⠦⢤⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⣀⡀⠠⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⢄⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣳⣄⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⠀⠀⣠⠔⠉⠀⠀⠀⠀⠀⠀⠀⣀⡤⠴⠖⠒⠦⣄⢀⡴⠒⠒⠒⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⣄⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠞⠃⠀⠀⠀⠀⠀⠀⣀⡴⠚⠁⠠⠀⠀⠀⣀⠈⣷⠀⠀⠀⠀⠲⣄⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢧⠀⠀⠀⠀ ⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⢀⡠⢾⡋⠀⠀⠀⠀⠀⣤⠶⠿⠧⠿⠶⠒⠲⣄⠀⠈⠳⠀⠙⠢⢄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡄⠀⠀ ⠀⡀⣠⠏⠀⠀⠀⢀⡠⠖⠊⠁⠀⠁⠀⠀⠀⠀⠀⠰⣿⡄⡀⠀⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⢤⣀⠀⠀⠀⠀⠀⠀⠘⣄⠀ ⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡲⣤⢀⣴⠏⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⠄⠀⠀⠀⠘⣆ ⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⠟⠋⠉⠀⠈⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠸ ⢸⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠀⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⠀⢤⣾⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⣠⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⢉⠏⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠇⠘⠁⠀⠀⠈⢆⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⠋⠀⠀⠀⠈⠙⠒⠼⣀⣀⠀⠀⠀⠀⢸⣀⡠⠔⠋⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⠠⠀⣈⣉⡩⠭⠭⢍⣅⡀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⠢⣀⠀⠀⠀⠀⡖⠉⠀⠀⣀⠀⠀⠀⢀⣏⣀⠴⠊⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠒⠒⠴⡇⠀⠀⢉⠕⠒⠒⡄⠊⠉⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⡆⠀⠀⠟⢘⠐⠇⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠰⡖⠤⢄⠀⡘⠀⠀⠀⠑⢄⣀⡀⠎⠄⠀⠔⢣⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡠⠭⠦⢤⢷⢧⡀⠀⠀⠀⠀⠰⡀⠀⡠⠂⠀⠀⢆⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢁⣲⡊⠉⠛⢄⠈⠑⠂⠤⢀⣀⣈⣉⣀⣀⡠⢔⡪⡏⠲⡂⢄⡀⠀⠀ ⠀⠀⡠⠒⠁⠀⠈⢣⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢠⠁⠀⠱⠀⠈⢆⠀ ⠀⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠢⢄⡀⠀⠀⠀⠀⠀⢀⡎⠀⠀⠀⢣⠀⠀⢃ ⡜⢀⣀⣀⣀⣀⣀⣸⣀⣀⣀⣀⣀⣀⣸⢈⡓⢤⣀⣀⣀⣎⣇⣀⣀⣀⣈⡆⣀⣈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠀⠀⠀⠙⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠃⠀⠀⠀⠀⠀⠘⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠸⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀⣄⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⣰⡄⠀⠀⣤⠉⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡿⠇⠀⠐⠿⣿⣶⡆⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡼⠧⠤⢤⣄⠀⣀⡤⠤⣄⣀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠉⠀⠀⠀⣀⣽⣟⢁⡀⠀⠀⢙⣧⡀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⡵⠶⢶⣶⡖⠛⣿⠛⣿⡿⠋⠉⠒⣾⡇⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⠦⣄⣀⣠⠴⠋⠳⢤⣀⣀⣠⠴⠋⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣀⣾⠁⠀⢀⡤⠴⠶⠶⠶⣤⠄⠀⠀⠀⠀⠀⠀⠘⣿⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⠏⠁⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⠈⠉⠻⢷⣄⣀⣀⣤⡶⠾⠛⠋⠉⠁⠀ ⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⢠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠙⢯⡉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠟⠁⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⡾⠃⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡄⠀⠀⠀⠀⠀ ⠀⣴⠏⠀⠀⠀⢠⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀ ⢸⡟⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⢤⡀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀ ⢸⡇⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀ ⠈⢿⣄⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀⣠⣿⠶⢤ ⠀⠈⠻⣧⣀⣸⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠇⠀⠀⠀⢀⣼⡿⠃⠀⠀ ⠀⠀⠀⠀⢸⡏⠓⠿⣶⢦⣀⡀⠀⠀⠀⠀⠘⢮⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡴⢾⣿⣀⣀⣤⣾⠟⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡇⠀⠀⠀⠉⠓⠻⢭⢷⣒⣲⣤⠤⠤⠤⠤⢤⣤⣤⣤⣤⣤⣤⣤⣴⣶⡶⠶⠭⠛⠒⠉⠁⢸⡏⠛⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⡟⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠩⠉⡏⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠻⣀⡴⠞⢻⠃⠀⠀⠀⡟⠳⣄⡀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀⠈⠀⣰⠋⠀⠀⠀⠀⠙⡄⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠚⣹⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠄⠈⠓⠲⠤⠤⠤⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠶⠚⣿⡄⠀⠀⠀⠀⠈⠓⠦⣄⣀⣀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⣀⣀⣘⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠛⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡟⠙⠋⠉⠉⢹⡇⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠳⡶⠤⠤⣤⣤⠤⠤⠤⣤⠾⠃⠀⢀⠀⠀⠘⢧⣤⣄⣀⣀⣀⣀⣀⣽⢤⡶⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣄⠀⠀⠀⠀⠀⣰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⡀⠀⠀⠀⠀⠀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢦⣄⣀⣤⠾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠷⣤⣀⣀⣤⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⣿⣿⣦⣉⡓⠒⡖⠒⠲⠶⠶⠤⠤⠤⢤⠤⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⣤⣤⣤⡤⠤⠤⠤⠶⠶⠶⠖⠂⠒⠒⠲⠶⠒⠒⠒⠒⠒⡖⠛⣛⣴⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣟⢿⣦⢺⣿⣿⣷⣶⣶⣶⣶⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣾⡆⢶⣀⡀⠀⠀⠀⠀⠀⢀⣸⠆⢺⣿⣿⣿⣿⡿⣳⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢠⣿⣿⣿⣿⢀⣿⢨⣿⣿⣿⣿⣿⣿⣿⣤⣉⠓⠲⠶⠤⠴⠖⠒⣊⣩⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⠉⡉⣉⠛⣟⢉⢭⣄⣦⣿⣿⣿⣿⣿⡇⣿⡛⣿⣿⣿⣿⡄⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣾⣿⣿⣿⣧⡘⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡀⣧⣴⣆⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⢇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢿⣧⣹⣿⣿⣿⣿⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⠘⣿⣿⣷⢸⡘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢹⣿⣿⡈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣿⣿⡿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡘⢻⣿⣿⣿⣹⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢿⣿⣧⡹⠿⢟⣘⠿⣦⡙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⣿⣿⣇⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢸⣿⣿⡇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣵⣷⠸⣿⣿⢣⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡌⢿⣿⣿⣦⣸⢿⣷⡈⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠻⠿⠿⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠘⠛⠛⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢿⢏⣿⣷⣌⣵⣵⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣛⠿⣿⣿⡇⢹⡇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢐⠂⠲⠄⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠠⠴⠛⠆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⣿⡟⣽⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣾⣻⣳⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣶⣴⣦⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢸⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣬⢣⣘⣻⢿⣫⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢈⡙⠛⢉⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣄⣬⣩⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣷⣶⣶⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣷⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⢿⣿⣿⣿⠿⠃⢿⣿⣿⣿⠇⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⢻⣿⣿⣿⠀⠙⠻⣿⣿⠿⠛⠛⠛⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠈⠛⠁⠀⠀⠈⠛⠿⠛⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠈⠉⠉⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣂⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⡀⢀⣢⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣥⣤⣿⣷⣦⣤⣴⣀⡀⣤⡄⣀⣂⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡤⡀⠃⢲⣸⠰⣖⡬⢭⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠖⠚⠳⢥⡀⠀⣿⣴⢏⡻⣥⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⣀⠀⠀⠀⠻⣎⣹⣸⢟⠿⢎⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠯⣷⡄⣀⣤⣀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⡀⠙⣯⠁⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⣶⣺⣿⣷⣿⣻⣿⣽⣾⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠁⡀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⠿⠽⣯⣿⣷⣿⣿⡿⣿⣄⠀⠀⣿⠁⠰⡾⠃⠀⠀⠀⠈⠛⠋⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⣻⣁⣿⡏⠻⠿⡿⠟⠀⢰⡏⠀⢀⡴⠋⠉⠲⣄⡞⡉⠙⡄⢹⡄⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⢰⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠤⠽⠿⠯⠤⠤⠤⠤⠤⠤⢾⠇⠀⢸⠀⠀⢶⠆⣿⡀⠷⠀⢸⠘⣷⠄⠀⠀⠀⠂⠈⠀⠀⠈⠉⠈⠁⠀⠀⠀⠀ ⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠣⣀⢀⣰⠋⠳⣀⣀⡞⠀⢹⡦⠄⠀⠀⠤⠤⠤⠄⠀⠀⠀⠀⠤⠤⠤⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠂⠀⠀⠀⠈⡏⠀⠀⠀⠀⣴⡤⠤⢀⡀⠤⢖⡇⠀⠈⣿⠒⠒⠒⠒⠒⠒⠒⠂⠤⠐⠒⠂⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠈⠛⠿⠾⠾⢟⠋⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣶⣶⣦⣄⡀⠀⠀⢀⡤⠒⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣸⠿⣽⡿⣿⣿⣶⠾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⠟⠁⠀⠈⠙⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⣀⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⠃⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⣠⣾⣟⣛⣛⣻⣾⣙⣣⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣄⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⠇⠀⠀⠀⠀⢸⠋⠀⠀⠀⠀⠀⠀⣀⡼⠋⠀⠀⠀⠀⣿⠈⣯⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡀⠘⢦⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠲⠶⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡴⠛⠁⠀⠀⠀⡻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠰⣏⣉⣀⠴⠖⠒⢲⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⢿⠖⠉⠉⠉⠑⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⣘⣁⠆⠈⠀⠀⠀⠀⠈⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⢀⠀⡀⢀⡀⠀⣴⡚⠲⣴⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠾⡟⠀⠾⣿⣦⣿⣿⡆⢰⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠀⠀⢃⠀⢿⢿⣿⠻⣿⢇⠔⠳⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡘⠀⠀⠜⠒⠚⣗⠟⢀⣈⠽⠤⠈⢧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠃⠀⠀⠀⠒⠈⠙⠫⣀⡜⠀⠀⠀⠀⠙⢄⠀⠀⠀⠀ ⠀⠀⢀⠎⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀ ⠀⢀⠆⢠⠁⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢇⠀ ⢀⠏⠀⠸⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢊⡇ ⢋⠓⢄⣰⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⢀⡠⡖⠲⡔⠒⡩⠔⢀⠇ ⠘⠍⠀⠈⢆⠀⠀⢠⠋⠈⠉⠉⠉⠁⢀⣰⡤⠶⣾⣷⠀⠀⣜⠀ ⠀⠈⢆⡀⠀⠑⡂⠅⠒⠒⠒⠠⠄⡀⢸⠿⠗⠋⠉⡅⡠⠊⠀⣱ ⠀⠀⠀⠉⠂⠼⡀⠀⠀⠀⠀⠀⠀⠌⠙⡄⢀⣀⠔⠛⠒⠒⠈⠁ ⠀⠀⠀⠀⠀⠀⠀⠉⠐⠒⠂⠀⠀⠀⠐⠃⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣷⣿⣿⣿⣿⣿⣿⡇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧ ⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⠀⠃⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⣠⣴⠶⠚⢫⡉⠉⠉⠉⢳⡆⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⢻⣾⣿⣿⣿⣿⣿⣿⣿⣤⢰⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⣀⣴⠾⠋⠉⠀⠀⠀⠈⠁⠀⠀⢠⡿⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⣐⣴⣾⣿⣿⣿⣿⣿⣿⣿⡟⠉⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⢀⣿⣦⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⣠⡾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣶⠟⠁⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⣼⠁⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⣸⣿⣶⣶⣷⣀⣤⣤⣴⣿⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢀⣰⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠈⠁⠀⠉⢻⡏⠉⠉⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⢀⣴⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠐⣼⢰⡏⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⣴⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡸⣧⡀⠀⠀⢸⣿⣶⡇⠀⣶⣄⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣴⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⡙⢷⣦⣀⣠⡿⢿⣄⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠛⠉⠁⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⡀⠀⠀⠀⠸⠇⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⡀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⠻⠿⣿⣏⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣃⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⣼⣷⣦⣤⣤⣤⣤⣄⣠⣄⣀⣠⣤⣤⣤⣤⣤⣴⣶⣶⣿⣿⡿⢟⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠛⠛⠻⠛⠿⢿⣿⣿⣿⣿⣆⣠⣄⣸⣦⠀⠀⠀⠀⢸⣾⠏⠉⠉⠉⠉⠉⠉⠉⠛⣿⡛⠛⣛⣻⠟⣿⠛⠋⠉⣿⠻⣦⣠⣾⠏⠀⠀⠉⠉⠉⠉⠉⠙⠛⠛⠛⠋⠀⠈⠋⠛⠙⠋⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⢈⣿⠻⣆⠀⠀⢀⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠾⢋⣥⡾⠋⠀⠀⣀⣽⠀⣼⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⡟⠁⠀⣈⣛⠒⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣘⣿⠶⠖⠛⠋⠉⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣸⡏⠛⠋⠉⠉⣹⡆⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣶⡶⠞⠛⠋⠉⠀⠀⠀⠀⠀⠀⣀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣝⠻⠷⣶⣤⣤⣟⣀⠀⠀⠀⠀⠀⠀⠀⣀⣿⢃⠈⢻⡿⠶⠶⠶⠶⠶⠶⣿⡿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠻⣍⠉⠛⠛⠛⠛⡛⢛⡟⠛⠋⠁⠀⠀⠀⠻⣦⣀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⣀⣀⣘⣫⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⢉⢉⢉⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡿⠟⠛⠿⣽⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠱⠀⠀⠀⠀⠈⠜⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠘⢺⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠋⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡄⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⣯⡀⠀⠀⣤⣀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣭⣿⣿⣶⣶⣿⡿⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣷⢦⡄⠁⠈⢛⣧⣞⡀⠀⠀⠀⠀⠐⠘⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣴⣾⠉⠁⠀⠀⠈⠙⠲⠶⢤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⣼⡿⠁⠀⠻⣶⠖⠋⠀⠘⣧⠀⠀⠀⠀⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠳⠶⠶⢦⣄⣀⣿⠁⠀⣴⣾⠁⣤⡄⠀⠀⣿⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠃⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠷⣄⠉⢹⡆⠛⠁⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀ ⢹⡄⠀⠀⠻⢾⠃⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣍⠻⣿⠿⣤⣄⣤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠐⠈⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠛⢿⣦⣤⣼⠀⠀⠈⡿⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⠀⠀⠀⠈⣵⠶⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⣼⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣄⠀⣼⠁⠀⠈⠛⠶⣄⠀⠀⠀⠀⠀⠀⠀⡠⣾⣿⡿⠀⠀⠀⢸⡇⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠘⠾⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠈⠑⠦⣄⡀⠀⠀⣼⣿⣿⠟⠁⠀⠀⠀⠈⣷⠀⠀⠀⠸⡇⠀⠀⣠⡶⠀⠀⠀⠀⠘⢷⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣄⠻⣅⡤⠒⠂⠀⠀⠀⠀⠸⡇⠀⠀⠀⣇⢠⡾⠋⠀⠀⠀⠀⠀⠀⠂⢻⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠸⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠙⠳⣦⠀⠀⠀⠀⣠⠀⠀⠀⢠⢷⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠈⠀⠀⠀⣰⠏⠀⠀⠀⠀⠈⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠈⢷⣄⠀⠀⠀⠀⢀⡾⠃⠀⠀⠀⠀⠀⠀⠀⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠷⣤⣄⡀⠀⠀⠀⣾⣩⡥⠀⠀⠀⠀⠀⠙⠳⠶⠶⠾⠋⠀⠀⠀⠀⠀⠀⢀⣠⢿⠹ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡏⠐⠤⣭⣛⠲⢦⣤⣌⣉⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⡤⠶⠛⣫⠥⠚⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⡄⠀⢠⡌⠉⢙⠛⠲⠦⠌⠉⠉⣉⣉⡛⠛⠛⠋⠉⠉⠉⢁⠤⠒⠀⠊⠉⠀⠀⠀⢈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣯⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣽⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠲⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣴⡄⢸⣿⣿⣇⡀⠘⠁⢀⣠⣴⡾⠛⢻⣿⣶⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣸⣇⣸⣿⣿⢻⠉⣷⣾⢟⠋⠉⠀⠀⠀⠈⢻⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣽⣽⣿⣿⣸⣦⠟⠁⠀⠀⠀⠀⠀⠀⠀⣼⣿⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⠏⠀⠀⠀⠀⠀⣤⠀⠀⠀⣰⣿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⣩⣿⣿⡄⠀⠀⢀⠀⠀⠀⠀⠀⣼⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠛⠉⠀⠀⠐⣿⣷⠀⠀⠀⢸⢻⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠶⣤⡀⠀⠀⠀⠻⠟⠁⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⣸⠟⠋⠙⢳⣆⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⢤⣄⡀⠀⠀⠀⣾⣿⠄⠀⠀⣼⠋⠀⠀⠀⠀⢹⠀⠀⠀⠀⣾⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⠀⠈⣷⣤⣄⠀⢸⡛⠳⠶⢿⣿⣶⠀⠀⢀⣠⣾⠆⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡼⠁⡜⠁⠀⠀⠀⣿⠀⢹⣇⡘⢧⣀⠀⣸⣇⠉⠙⠛⠛⣻⠋⠀⠀⠀⠀⢻⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠇⢸⠀⠀⠀⢠⠀⣻⠀⢸⠟⠋⠉⠉⠉⠉⠙⠶⠤⠤⠞⠃⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡟⢠⠏⢀⠀⠀⣸⠀⡿⢠⠈⠀⣟⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡸⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⣳⠾⢤⣾⠀⠀⡇⢰⠇⣼⣄⠀⠙⠳⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⢹⠀⠀⠀⠀⠀ ⠀⢠⣶⠋⠀⠀⠀⠀⠙⢳⠾⠷⣾⣾⠟⠛⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡼⡆⠀⠀⠀⠀ ⢰⣿⠃⠀⠀⠀⠀⠀⣴⠃⠀⠀⣷⠟⠀⠀⠀⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢹⠀⠀⠀⠀ ⢸⣿⠀⠀⠀⠀⠀⠀⢿⣀⣠⢇⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡈⣇⠀⠀⠀ ⠀⠻⣷⣄⠀⠀⢀⣰⣿⢿⣷⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⡹⣄⠀⠀ ⢠⡞⠹⣏⠙⠿⠟⠛⣡⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡈⢧⠀ ⣾⡇⠀⠈⠓⠶⠶⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡄⠂ ⢿⡇⠀⠀⠀⢀⣠⣤⣤⣤⣐⣢⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛
⠀⠀⣠⣤⣤⣶⣶⣶⣶⣾⣶⣶⣶⣦⣦⣦⣶⣶⣶⣶⣶⣶⣶⣦⣦⣦⣦⣦⣤⣤⣤⣴⣤⣤⣤⣤⣤⣤⣦⣤⣶⣾⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠙⠻⣿⣿⣿⣿⣿⢿⠟⡻⠿⣝⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠟⠀⠉⠉⠻⢳⠉⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣀⠀⣶⣆⠈⢻⣿⣟⠳⠂⠂⠀⢃⡨⢟⣻⣿⣿⣿⣿⡖⠁⠀⠀⠀⠀⠚⠠⠘⣗⢰⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢹⣧⣄⣿⣷⡀⠹⣿⣿⣷⣴⣾⣤⣼⣿⣿⣿⣿⣼⣿⣷⣇⣚⠿⣿⣿⢆⡄⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣷⠟⠛⠻⣷⡀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢩⣿⣟⣅⠈⠁⣀⣶⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣿⠀⠀⠀⣻⣿⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⣾⣯⣄⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⣿⣤⣈⣵⣶⣿⡇⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣨⣷⣿⣿⣿⣿⣰⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢄⣽⣷⠿⢿⣿⣿⣇⣀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣼⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣾⢛⣿⣿⣿⣿⣿⣞⣆⡈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣧⢈⠙⠻⣿⣾⣿⣿⣿⡿⣌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠉⠉⢳⡌⢿⣿⣿⣿⣿⠒⠈⠉⠙⢫⡝⠛⠋⢉⣻⣶⣋⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢀⣀⠈⣿⣿⣿⣄⢺⣿⣇⣤⡟⢮⣽⣿⣿⣿⣆⠄⠀⠀⠈⠄⠀⠀⢈⣡⠉⠉⢡⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣿⣿⣶⣿⠃⠈⢻⣿⣿⣿⣿⣷⢪⡿⣮⣿⣿⡗⠄⠀⠀⠀⠀⣶⣾⣿⣿⣮⣤⣽⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠰⣦⠉⡟⠻⣏⣹⣴⡿⣮⡻⢿⣿⣶⣤⡀⢀⢒⣼⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣟⣿⣿⢻⣧⣤⣤⣴⣿⣷⣿⣶⣿⣿⡟⢷⡜⣧⡐⢿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡙⣿⣎⢿⣎⢿⣆⢿⢻⠻⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⢿⢻⡿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣜⣿⣆⣿⣶⣘⢿⣿⡆⠈⢹⡄⠈⠉⠛⠻⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⢸⢸⣇⣿⣿⣿⣿⣿⣽⡿⣿⡿⣟⠿⣿⣎⠻⣯⡙⢿⠸⣿⣧⣄⣀⡇⠀⠀⠀⣰⡏⠀⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⠟⣽⣇⢸⣿⣾⣿⡿⢻⡏⣿⡉⠀⢀⠸⡇⠹⣧⠹⣿⣧⡙⣷⡘⣷⣿⣿⣿⣿⣷⣤⣀⣼⠋⠈⠛⠦⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⣿⡿⠋⢠⣶⡿⣿⣾⣸⢻⣿⢃⠟⢸⣿⠃⠀⠘⠀⣿⡀⠹⣿⣾⣿⣷⣸⣷⣿⣿⡟⡿⠈⢻⣾⣟⢯⡀⠀⠠⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⠿⣋⣠⣴⣿⣿⣿⣿⣿⣿⢸⣯⠠⢀⡈⣿⠁⣀⣤⣼⣿⣧⣘⣿⣿⣿⣿⣯⣿⣿⣯⣼⣿⣿⣿⣿⡿⣿⣿⣷⣶⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢘⣵⡿⣿⣿⣿⡿⠛⣹⣿⣿⣿⡾⣿⣝⣻⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⠿⠛⠿⠿⠿⠿⠷⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⢤⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⠁⠲⠒⠲⠲⡶⠒⡖⠒⡒⠒⠀⢹⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⣀⠀⠊⠀⠈⠁⠒⠁⢒⡋⠂⣀⡾⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⠒⠒⠒⠶⠶⠶⠶⠶⠶⠶⠶⠶⠒⠲⠶⠮⠭⠍⠍⠉⠉⠉⠉⠭⠉⠉⢯⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢠⠶⠒⠒⠒⠒⠒⢲⠒⠑⡒⠒⡄⣦⢐⠲⠒⠀⡄⠐⠒⢲⡆⠒⠖⢒⠂⠀⠀⢸⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⣀⣐⣒⣂⣀⣂⣈⣐⣒⣀⣀⣁⣈⣈⣒⣈⣁⣀⣀⣉⣈⣀⣀⣀⣈⣁⣁⣁⣨⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡤⠤⠄⣀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡅⠠⠀⠀⠉⠒⢤⡀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠑⠥⡀⠀⠀⠀⠀⢽⣴⡄⠀⡰⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⡐⡀⢰⡿⣃⡈⡵⣒⠳⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⡎⢠⣾⣼⣿⣷⢈⠗⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣣⢰⠓⢜⠻⠋⡨⣁⢼⣤⠎⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡀⣀⣀⢀⠔⠊⠉⠔⠁⠑⢌⢖⣊⢁⠰⣽⢏⠀⢀⠡⡀⠀⠀⠀⠀⠀⢸ ⠀⠌⠇⠘⠀⡔⢡⠐⢆⠎⡍⡅⠀⡌⡈⠛⠿⠿⠃⢸⠀⠀⠀⡈⣢⠀⠀⠀⠀⠸ ⠀⢸⠀⠀⣼⢁⠇⡈⡌⢌⠌⠀⠀⠀⡇⠀⠀⠀⠀⠘⡆⠀⠀⠰⡱⡑⡀⠀⠀⠀ ⠀⠈⣠⡾⠃⢸⠀⢁⢌⠎⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠑⠈⢰⠀⠀⠀ ⠀⣜⠁⢁⠀⠀⢸⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⢸⡳⢄⣀⣀⣠⣜⣛⣒⣒ ⣀⣇⠃⣜⣀⣀⠀⡧⠶⠶⠶⡾⠟⠻⠓⠚⠛⠉⠉⢉⢉⡉⠉⠈⠀⠀⠀⠀⠀⠀ ⡐⣨⣉⢉⠡⠤⠤⠀⢀⡐⠒⡒⢒⡂⢠⣀⣉⢁⣉⣬⣀⣶⣤⣠⣀⣀⡀⠀⡀⠀ ⣄⣐⡂⠊⢋⡓⠊⢱⣯⣿⣿⣿⠷⠿⠶⠲⢶⣶⣶⣿⣿⣿⣯⣭⣭⣭⣹⠤⣔⡕
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⠟⢷⠀⠀⢀⣀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⣸⣿⡖⣤⡴⠚⠋⠈⢻⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠾⢿⣿⡷⠋⠀⠀⠀⠀⣸⡏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣼⠏⠀⠀⠀⠄⠀⣰⠏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠟⠂⠀⣶⡀⠀⠸⡏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠓⢦⠤⢄⠛⠁⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⠤⢤⡀⠀⢰⣧⢀⣰⠃⠀⠀⡇⠀⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⢀⠔⡕⠀⠀⡟⢳⡸⣌⠉⣟⠓⠤⢶⠏⠀⠀⢿⠀⠀⠀⠀ ⠀⠀⠀⡸⢰⠀⠀⡆⡇⠸⢩⣁⠉⠉⠒⠒⠁⠀⠀⠀⠀⡄⠀⠀⠀ ⠀⠀⡰⠷⠧⣆⢰⢡⢣⣆⠘⠢⠀⠀⠀⠀⠀⠀⠀⠀⠸⢁⠀⠀⠀ ⢠⡟⠀⠀⠀⡰⠉⢩⠏⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⡄⠀⠀ ⠸⣇⠀⠀⠀⡣⣜⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣱⠀⠀ ⢠⠚⣕⠲⢛⡷⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡱⡀ ⢸⠀⠀⢉⣁⣀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠥
三三ᕕ( ⌓̈ )ᕗ
ᕕ( ⌓̈ )ᕗ
( ⌓̈ ).。oO
(⌓̈_)⌒)_ ))
ε٩(๑⌓̈๑)۶з
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠊⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠘⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠄⠀⠀⠤⠤⠄⣳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠟⠀⠘⠳⢶⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⢀⠀⣀⣀⣀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⣏⣀⣀⣠⣎⣀⡀⣀⣵⡀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⡧⠌⠉⠄⠃⠍⠀⠠⠊⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⣀⣀⣀⡀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠇⠉⠒⠄⡀⠀⠀⠀⠀⢀⡀⠤⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠔⠒⠈⠀⠀⠀⠀⠈⢆⠠⠒⠉⠀⠀⠀⠙⠒⠠⢄⠀⣀⣀⠤⠔ ⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠙⢅⠀⠀⠀ ⠀⡔⠁⠀⠠⠃⠀⠀⠀⠀⠀⠀⠀⠀⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡄⠀ ⡘⠀⠀⡐⠁⠀⠀⠀⠀⠀⠀⠀⠀⡇⠷⠆⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⢄ ⡥⢀⣀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⣶⠆⠀⠀⠀⠀⠀⠀⠁⠢⡀⠀⠀⠀⠀ ⠱⢄⣈⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠤⠄⡀⠔
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠲⠉⣦⡷⠝⠳⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⢁⠀⠑⢄⡟⢿⣟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣠⣿⣽⣤⣶⡆⠀⣸⠀⠀⠀⠰⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⢿⡿⠿⣿⣿⡅⢠⡇⠰⠃⠀⠀⠓⠚⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠷⠇⠈⠉⠁⣼⠀⠈⠀⡌⡊⠦⢀⢱⠀⠀⠠⠐⠀⠐⠐⠀⠀ ⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠐⠠⠄⠈⠠⡄⠈⣗⠀⠐⠒⠀⠀⠀⠒⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡃⠀⠀⠘⠓⢶⡟⠃⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢘⣿⣷⢦⣄⡔⠉⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠡⡀⠀⠀⠀⠀⠀⠀ ⠀⡰⠋⠀⢹⠟⠁⠀⠀⠀⢀⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⡈⠀⠀⠀⠀⠀⠀ ⢰⠁⠀⠀⠎⠀⠀⠀⢀⡴⠉⠉⢹⠹⡞⠀⠀⠀⠀⠀⠀⠈⢆⠑⡄⠀⠀⠀
⢀⣤⣶⣶⣶⣶⣷⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⠶⠶⣶⡶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⠋⠁⣀⠙⢿⣿⡿⡟⠋⠉⠙⣿⣿⣿⣿⣿⡻⠉⠋⠁⠀⠀⢩⡇⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⠐⣦⣙⣷⡄⢻⣷⣶⣤⣤⣠⣴⣾⣿⣿⣿⣷⠀⠶⣶⡦⣀⠀⠁⢩⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⠛⠛⢿⡄⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⣿⣟⡀⠁⣠⠆⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⢾⠀⠠⣘⣻⡀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣇⣾⣷⡆⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣇⣸⣿⣿⣿⣿⡇⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢛⣿⣿⣿⣿⣧⡈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣻⣷⣬⣈⣿⣿⣿⡿⠿⡾⢿⣿⣿⣿⣿⠿⠿⢿⢿⣿⡿⣿⣿⡟⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⢻⣿⣿⠁⣤⣄⣘⣮⣿⣿⣿⣇⠀⠀⠘⠃⠁⠀⠎⠛⠆⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣧⣸⣿⣼⡏⠙⢿⣿⣿⣿⡦⣿⣿⣿⣿⠀⠀⠀⠀⣴⣶⣿⣤⣤⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠐⣦⣹⣛⣯⣷⣿⢾⡛⣿⣷⣦⣀⣰⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣼⣷⣿⣿⣿⣿⣿⣿⢿⣜⣮⢷⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣹⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣮⢿⣜⣷⣝⢿⣿⠉⢻⡉⠛⠻⠿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⡿⣏⡏⣷⣿⣿⣿⣿⠿⢿⡿⣿⢿⣧⡻⣯⢻⣘⣿⣤⣠⡇⠀⠀⣴⢃⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⡿⢛⣹⣷⣸⣿⣿⠟⡿⣽⡄⠀⠄⢧⠘⣧⣻⣷⡙⣧⣻⣿⣿⠿⣿⣶⣾⠁⠀⠉⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣋⣠⣾⣿⣿⣿⡇⣿⠈⠁⢿⡀⣀⣠⣾⣆⣼⣿⣿⣿⣿⣿⣏⣿⣦⣼⣿⣿⣷⣤⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢘⣽⣿⣿⣿⡟⢛⣿⣿⣷⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠉⡀⣤⣄⣤⡀⢤⠍⠙⢦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⣀⣒⣀⣘⣀⣑⣘⣐⣀⡾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⢖⣒⣒⣒⣒⠒⣒⣒⣒⢒⢒⡒⠒⠂⢀⡀⠀⠀⠀⣀⠈⠳⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣅⠈⠉⠩⠉⠉⠙⠠⠀⠀⠊⠖⠌⠠⠐⠀⠀⠝⠀⠁⠠⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⣺⠥⠤⠤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣼⠃⠀⠀⠀⠀⠈⠙⠻⠦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⢧⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠉⠓⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢎⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣛⢦⣄⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣌⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣹⣨⣳⡦⠀⠀⠀⠀⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⠹⡄⠀⠀⠀⠀⠀⠀⣠⡄⠀⠠⣻⣿⣿⣿⣷⠀⣀⣀⡤⠄⠙⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠹⡀⠀⠀⢠⣴⣾⣿⣷⠆⠀⠈⠉⢠⣤⠤⠤⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠐⠒⠲⣄⠙⡆⠀⢸⣿⡿⠋⣀⣤⣤⣄⣰⠏⢁⣤⣀⠀⠈⢧⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣄⠀⠀⠀⠀⢠⡞⠉⠀⣠⣉⡻⢰⣿⣿⣿⣷⣄⠀⢹⣿⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠂⠀⠀⡏⠀⠀⣾⣿⡿⣿⣾⣿⣿⣿⣿⣿⠀⢠⣿⠁⠍⡙⢦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠂⣘⡇⡀⠀⢻⣿⣿⣿⣿⠈⠙⠛⠛⠃⠀⣸⠀⠀⠀⡿⠦⠉⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠊⣹⠟⠛⢶⡌⠛⠿⠟⠋⠀⣼⣄⣀⣀⣴⢿⣦⢠⡾⠃⠀⡇⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⡶⠖⠚⢻⡼⠳⣤⡀⠀⠹⣆⠀⠀⢀⣴⠏⠈⠉⢩⡥⣸⡏⡿⠀⠀⠋⠁⠀⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣠⠶⠋⠁⠀⠀⠀⣰⠋⠀⠀⠈⠙⢦⡀⢿⣍⠉⠉⠀⠀⢀⡰⣋⣴⣿⠰⡇⠀⠀⠀⢠⡀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠀⢀⡤⠶⠛⠶⣤⠾⠛⠛⠷⣴⠟⠁⠀⠀⠀⠀⢀⡼⢄⣀⣀⠀⠀⠀⡈⢻⡌⠻⣿⣷⣶⣤⣾⣃⣤⣿⡏⠀⣿⠀⠀⠀⠀⠣⡀⠘⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸ ⠀⠀⢠⡟⢠⠟⠀⠰⠏⠠⠀⢠⡞⠁⢀⡠⠖⢰⠆⢠⡞⠀⣸⠁⣹⠀⠀⠀⣁⠈⣧⠀⠙⠿⣿⣿⣿⣿⣿⡿⠁⠀⢹⡆⠀⠀⠀⠀⠐⢀⠀⢙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠈⠀⡟⠀⠀⠀⠀⠀⣰⡏⢀⢀⡾⠁⢀⡏⢠⡏⠀⣰⠃⣠⠏⠀⠀⠀⠘⠀⣿⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠘⣦⠈⣆⠻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘ ⠀⠀⠀⢠⡇⠀⠀⠀⠀⣰⢿⠇⡌⡼⠀⠀⡾⢀⡞⠀⣰⠃⣰⠋⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠀⠀⠀⠀⠀⠀⠘⣇⠈⣦⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠇⠀⠀⠀⣰⣏⡏⠀⣇⠃⠀⢸⠇⡸⠁⡸⠃⣴⠃⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀⠀⠀⠀⠀⠀⠘⣆⠘⢧⠀⢻⡀⠀⠀⠀⠀⠀⠀⠠ ⠀⠀⠀⣾⠀⠀⣠⣾⣟⡼⠀⠀⣿⠀⠀⡜⠀⣇⡼⠁⡸⠋⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠀⠀⠀⠀⠀⠀⠀⠘⣆⠈⠳⡄⢷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢀⣴⢟⣽⠋⠃⠀⠀⢿⠀⠀⡇⣠⠞⠁⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⠀⠀⠀⠀⠀⠀⠀⠈⠳⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⡞⠁⠚⣿⠀⠀⠀⠀⠘⡆⢠⠃⠁⢀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡶⣒⣀⠒⣀⡀ ⠀⠀⢰⢟⡀⠁⠁⢸⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠃⣎⣷⣄⡀⠀⠀⠀⠀⠀⣠⡾⠛⠋⠉⠉⠉⣉⣉⣉ ⠀⠀⢸⠘⣧⠀⠀⢸⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣼⣿⠤⢤⡄⣀⣠⣖⣦⣀⣠⣤⣤⣤⣶⣶⣶⣾⢾⣿⠶⠾⠿⠿⠿⠛⠛⠛⠛⠛⠉⠉⠙⠉⠉⠉⠉⠉ ⠀⠶⣾⡀⠈⠳⠤⡾⠀⠀⠀⠀⠀⣀⣀⣸⣦⣐⣿⣿⣿⣭⣭⣿⣷⣿⢿⡟⡛⢻⠿⠛⠻⠛⠛⠋⠉⠀⠀⠠⠀⠀⠀⠀⠠⠀⠀⠀⠀⡀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢒⣛⠛⣿⣤⡤⢶⢶⣖⣒⠚⠛⠛⠉⠉⠭⠍⠉⠉⠉⠈⠈⠈⠘⠃⠀⠀⠁⠀⠈⢀⠈⠀⠀⣀⣀⣀⡤⢤⡤⠤⠄⢶⠖⠶⠒⠒⠈⠈⠁⠂⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠊⠐⠃⢈⣃⠚⠉⠙⠉⠁⠀⢒⣀⣀⣀⣀⢠⡄⡀⠀⠀⠒⠒⠒⠒⠚⠓⠚⠋⠁⠉⠉⡁⠀⠈⠀⠀⠀⠀⠈⠉⢩⣤⠀⠀⠘⣛⣒⣀⡀⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣤⣤⠶⠦⠴⠒⠒⠛⢛⠋⡉⠉⠙⠉⠀⠀⠀⢰⣶⣆⠀⠀⣈⣥⣤⣀⠺⢖⣋⣁⣼⣿⣷⣤⣶⣤⠤⠴⠦⢼⣿⣿⣷⣴⣿⣿⣿⣿⣧⣤⣿⣷⣾⣿⣷⣤⣤⡀⠀⠲⣤⠀⠀⠀ ⣀⣀⡈⠠⠴⠀⢰⣊⣩⣟⠳⠭⠤⠾⠛⠛⢀⣤⡍⠛⣿⣿⣿⣯⣽⣿⣭⣥⣭⣭⣥⣴⣤⣤⣴⢶⣶⣤⣶⣾⣶⣿⠿⠿⣿⠿⢿⣿⣿⠛⠛⠛⠛⠻⢛⡋⠉⠛⣧⣀⣤⣀⣜⣣⣤ ⠿⣭⣴⣬⣤⣤⠨⣀⣀⡉⣤⣤⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠛⠛⠛⠋⢀⡰⠿⢿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣷⣿⣿⣶⣶⠟⠛⢿⣿⢤⣭⣀
⢠⣶⣶⣶⣷⣶⠶⠶⣶⣶⠶⠶⣶⣶⣶⣶⠶⠖⠒⢗⢦⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣇⣦⣳⡙⣿⣤⣔⣽⣿⣿⣧⣰⣦⠀⠁⢻⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⢹⢀⢷⡸⣿⣿⣿⣿⣿⣿⣾⣷⣠⣇⣸⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣼⣟⣿⡇⠹⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣟⣧⣝⣿⡿⠷⡽⣿⣿⡿⠿⡿⡿⢿⡟⢿⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⢡⣍⡿⣴⣷⣜⣿⣿⡆⠀⠀⣀⣥⣉⣾⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣟⣀⣮⣯⣿⣟⢟⣿⣦⣤⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣸⡿⣿⣿⣿⣿⣯⣿⣫⡻⣿⠻⡛⠿⢿⣿⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⡿⣿⣻⣷⢿⣟⢋⢋⢯⢷⡷⡱⣿⣶⣅⣠⠃⢤⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣫⣾⣿⣿⣎⣁⣏⣠⣼⣬⣿⣿⣿⣯⣧⣽⣿⣦⣼⠀⠀⠀⠀⠀⠀⠀ ⠐⠛⠛⠓⠚⠛⠛⠚⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠒⠒⠒⢲⠂⣡ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣒⣒⢒⡒⠒⠒⠒⠚⠉⢉⠉⠉⠙⢅ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠀⠀⠀⠀⠀⠁⠉⠈⠀⠉⠀⠈⠁⠘
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢴⣰⣶⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢡⠋⠀⠀⠀⠈⠙⠓⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣞⣆⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⣤⡀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠪⡑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠘⣟⣲⣄⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠎⢆⠀⠀⠀⠀⢀⣤⠀⠘⣿⡿⠿⠇⢀⡠⠤⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡈⢦⠀⢀⣾⣿⠟⠃⠀⠀⣠⠖⠂⠘⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠁⠀⠙⢡⠖⠋⢙⣳⠇⣴⣿⣶⣄⠘⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⢀⡏⠀⢰⣿⣿⣷⣿⣿⣿⣿⠀⣼⠉⠋⡳⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⢀⢼⣧⣄⠸⣿⣿⣿⠃⡈⠉⠁⢀⣇⠀⣰⠟⢂⠙⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠼⣦⢾⣀⠈⠳⡄⠉⠀⣠⠟⠓⠒⣋⣽⣿⠃⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤ ⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⣠⠴⠋⠉⠀⠀⡴⠁⠀⠈⠳⣄⢿⣟⠋⠁⠀⡀⢎⣼⡿⣿⠀⠀⠠⡀⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹ ⠀⠀⢠⢖⡏⠙⡶⠋⠉⢙⠞⠁⢀⢀⠀⢀⠞⢢⢤⡀⠀⠀⠘⡆⠻⣿⣿⣾⣧⣶⣿⠃⢹⡀⠀⠀⠁⢀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠃⡾⠀⠀⠁⠀⣰⠃⢀⡞⠁⡜⢠⠃⢠⠎⡰⠃⠀⠀⠀⣧⠀⠈⠙⠻⠿⠛⠁⠀⢸⡇⠀⠀⠀⠀⢦⠀⡻⣆⠀⠀⠀⠀⠀⠀⠀⠸ ⠀⠀⢠⡇⠀⠀⠀⣼⡏⢀⡜⠀⣸⢁⠎⢠⠋⡴⠁⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠈⢇⠹⡌⠳⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⠃⠀⢀⣼⡿⠁⣮⠁⠀⠇⡜⣠⠃⡼⠁⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠈⢇⠘⣄⠹⡀⠀⠀⠀⠀⠀ ⠀⠀⠈⠀⣰⣿⡿⠃⠀⢿⠀⢸⢀⡷⢃⡞⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠈⠢⠈⠁⢣⠀⠀⠀⠀⠀ ⠀⠀⢀⡞⠉⢿⠀⠀⠀⠘⡄⡜⠈⢀⠞⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⣸⣶⣖⣐⣂⣀ ⠀⠀⣿⡀⠀⢸⡀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⣨⣿⣦⣀⣀⣀⣀⣠⣞⣉⣉⣉⣩⣥⡤ ⠀⣠⠆⠳⣄⣠⠇⠀⠀⠀⠀⠘⣆⢠⢤⣤⣤⣶⣶⣶⣾⡿⢿⣿⢶⡶⠿⠷⠖⠛⠛⠛⠛⠛⠋⠙⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠶⠞⢷⣤⣤⣭⣴⡶⠒⠒⠛⠛⠏⠙⠉⠉⠉⠉⠛⠉⠘⠀⠀⠀⠀⠀⢀⣀⣀⢀⣀⣀⠠⠄⠴⠆⠐⠘⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠁⠠⠅⠉⠉⣉⣁⣠⣤⣤⠤⠀⠄⠀⠀⠒⠀⠉⠉⠉⡙⣁⡉⣡⣀⠀⠀⠀⠀⠀⢀⣶⡀⢀⣻⣭⣤⠀⢀⡀⣀⣀⠀⠀⠀⢀⠀⠀⠀ ⠛⠚⠋⣉⠉⡁⢡⣤⡠⣀⣠⣤⠄⠀⠼⣷⣤⣤⣾⣷⣦⣩⣷⣖⣛⡛⢛⣛⣃⣈⣻⣻⣿⣿⣿⣿⣿⣿⣿⣿⠿⡿⠿⠿⢷⠀⢈⠃⣤⠀ ⣿⣥⣬⣤⡄⢈⣉⠁⣤⠀⠀⠀⢸⣿⣷⣾⣿⣿⣿⡿⠿⠟⠻⠿⠋⣉⠿⢿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣷⣶⣶⣶⣶⣷⣤⡼⠛⢿⣿⣽⣉
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⠀⠀⠀⣠⠤⠞⠒⠛⠉⠁⢀⡉⠓⠒⠤⠤⠤⢄⣀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⠁⠀⠙⠲⠤⠄⠠⣄⣉⠓⠀⠀⠐⠦⣄⠀⠀⠀⠈⠓⠦⢄⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠂⠓⠢⣄⡉⠉⠙⠒⢤⣀⠀⠀⢀⡙⠢⠤⠤⠤⠤⢤⣀⠀⠀⠀⠀⠀ ⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠑⠦⣌⡉⠉⣁⣈⡙⠲⢤⣀⣀⠀⠈⠉⠓⠒⢤⡀ ⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠉⠒⠦⠤⣈⡙⠦⡖⢉⡤⠄⡇ ⠀⠀⣹⠄⠀⠀⠀⠀⡤⠚⠉⠁⠀⠀⠙⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⡟⠁⠀⣰⠃ ⠀⢰⠃⠀⠀⠀⢀⡞⠀⢠⣴⣶⣦⡀⠀⠘⢦⣠⠴⠒⠒⠒⠒⢤⡀⠀⠀⠀⠀⠀⠀⠀⣰⠃⡼⠃⠀⢸⠁⠀ ⠀⢸⡀⠀⠀⠀⡼⠀⠀⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⣀⣤⣀⠀⠀⠙⣆⠀⠀⠀⠀⠀⢰⠃⡼⠃⠀⠀⢹⠀⠀ ⠀⠀⡇⠀⠀⠀⢳⣀⠀⠙⢿⣿⡿⠏⠀⠀⠀⠀⢰⣿⡿⣿⣷⡄⠀⠘⡄⠀⠀⠀⠀⢸⠀⡇⠀⠀⠀⡞⠀⠀ ⠀⣸⠁⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⢀⠴⢦⡀⠹⣿⣿⣿⣿⠃⠀⢀⡇⠀⠀⠀⠀⡾⢀⡇⠀⢀⡞⠀⠀⠀ ⢀⡇⠀⠀⠀⠀⢰⣄⠀⠙⠒⠒⠤⠴⠋⠀⠀⣇⠀⠈⠙⠋⠁⠀⣀⠜⠀⠀⠀⠀⡼⢁⡾⠀⠀⢸⠀⠀⠀⠀ ⠈⢧⠀⠀⠀⠀⠀⡿⢧⡀⠀⠀⠀⠀⠀⠀⠀⠘⠦⢄⣀⡀⢀⡞⠁⠀⠀⠀⠀⢰⠁⣾⠀⠀⠀⣸⠀⠀⠀⠀ ⠀⢸⡄⠀⠀⠀⠀⣿⣈⠻⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⢸⠀⣹⠀⠀⡴⠃⠀⠀⠀⠀ ⠀⡜⠀⠀⠀⠀⠀⢹⡇⢀⣼⡏⠉⠒⣦⠤⠄⣀⣀⣀⣀⣤⣴⡿⠀⠀⠀⠀⢠⠎⣰⠋⠀⢸⠁⠀⠀⠀⠀⠀ ⢸⡁⠀⠀⠀⠀⠀⠈⣿⣤⠽⠦⣤⣴⣿⠀⠀⢸⡏⡉⣤⣼⡿⠀⠀⠀⠀⢀⡏⢰⠃⠀⠀⢸⠀⠀⠀⠀⠀⠀ ⠈⡇⠀⠀⠀⠀⠀⠀⠈⢿⣶⣇⣤⣤⣙⣓⡒⠾⣁⣥⣿⡟⠁⠀⠀⠀⠀⢸⠁⡿⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀ ⠀⣿⣄⠀⠀⠀⠀⠀⠀⠀⠙⠻⢶⣾⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⡞⢀⡇⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀ ⢠⡇⠀⠉⠒⠢⠤⢄⣀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⣸⢁⡞⠀⠀⣰⠇⠀⠀⠀⠀⠀⠀⠀ ⢸⡃⠀⠀⠀⠀⠀⠀⠀⠉⠱⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⣸⠁⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⣿⡓⠶⣤⣀⡀⠀⠀⠀⠀⣻⣼⡟⠉⠉⠒⠒⠤⠤⣀⡀⠀⠀⢀⡞⠰⣃⡤⢶⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⣿⣿⣿⣶⣮⣝⣛⣶⣦⡾⣿⣹⣆⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠚⠶⠚⠁⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠉⠛⠻⠿⣯⣿⣿⣛⣿⣷⣿⣯⣽⠶⠦⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠙⠛⣿⠛⠿⢿⣿⣿⠿⢶⣦⣍⣟⡳⠶⣤⣄⢠⡴⠛⣡⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠈⠙⠒⠀⣿⡷⠦⣿⣏⣛⣿⣿⣾⡏⢸⣷⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⢰⣿⠁⠀⠀⠉⠙⠛⠶⠮⠷⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⡁⠀⠀⠀⠰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⢨⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡙⠦⠤⠴⢟⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
🟨🟨🟨🟨🟨 🟨🧿🟨🧿🟨 👋🟨👅🟨👍 🟨🟨🟨🟨🟨 🟨🟨🟨🟨🟨 🦶 🦶
⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣧ ⠀⠀⠀⣄⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⢀⣠⡴⠚⠋⠉⠆⠀⠀⢨⣇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⣀⣼⣿⣿⣿⣿⣿⡿⢇⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣤⠾⠋⠁⠀⠀⠀⠀⠀⠀⣠⠟⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣨⣿⣿⣿⣿⣿⣿⣿⣇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢀⡴⠟⠁⠀⠀⠀⠀⠀⠀⢀⣤⠞⠁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡏⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢰⠀⣠⠖⠋⠀⠀⠀⠀⠀⣤⣄⣰⡀⣀⣀⣰⡇⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣰⣿⠟⠁⠀⠀⠀⠀⠀⠀⣴⠋⠉⠉⠻⡟⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⢠⣼⠃⠀⠀⢀⠀⣿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣧⡀⠀⢸⣿⡇⠘⢿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠙⠛⠋⠉⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠛⠉⠁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⢠⡀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠟⠡⡄⠀⠀⠈⠁⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠏⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡏⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣧⣀⡀⢸⡇⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠛⠿⢶⡇⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣇⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⢧⠀⠀⠀⠀⣀⣼⠷⠶⢶⣦⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣾⡿⠿⣻⠿⠿⠿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿ ⠉⠉⠁⠉⠙⠛⠛⢻⡖⠲⣾⣆⠀⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⢿⣄⡴⢟⣹⠇⠀⠈⡏⢛⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣧⡴⠋⠙⠦⠤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡥⠤⠶⠚⠁⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣄⣿⠛⠋⠉⢹⡆⠀⠀⠀⠀⠀⠀⣰⠶⣶⠒⠚⠉⠁⠀⠀⠀⣀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⢍⠛⠳⡶⠾⣤⣤⣤⣤⣤⣤⣤⠿⠀⠙⣟⠛⠛⠛⠛⣻⡏⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⡀⠀⠀⣦⣼⠂⠀⠀⠀⠀⠈⠳⠦⠤⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⣼⣿⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⣀⠀⠀⠀⠀⠈⠉⠙⠻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣡⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢋⣷⠀⠀⠀⠀⠀⠀⢀⣀⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠖⠒⣦⣄⠀⡴⠋⠀⠀⠀⠈⠝⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠎⠀⠀⠀⠀⠉⣿⠁⠀⠀⠀⠀⠀⠀⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡽⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠀⠠⣾⡀⣰⣦⠀⠀⣀⡀⣇⠀⠰⣶⣀⢀⢰⣿⡀⣸⡷⢳⠀⢀⣤⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣦⢻⣿⣧⣿⣿⣸⣾⣿⣧⣿⣷⣰⣿⣿⣿⣾⣿⣿⣿⣣⢿⣶⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠉⡟⠈⠉⠛⣟⠙⠿⠟⠉⠋⠉⠛⡏⠻⠿⠋⠉⠀⠈⠉⠉⠉⢩⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡤⠤⢤⡀⢠⡞⠁⢀⡾⠁⠀⠀⠀⠈⢦⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡤⠖⠒⢿⡀⠀⠀⠙⢿⠆⠀⠈⡇⠀⠀⠀⠀⠀⠀⠱⢄⡀⠀⠀⣠⠞⠈⠳⢄⡀⠀⠀⠀⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣼⡇⠀⠀⠀⢻⡄⠀⠀⠈⠆⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⢸⣉⠽⠍⠠⠤⠤⠶⠤⣉⠉⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀ ⠀⠀⠘⣿⣀⡀⠀⠀⢻⣆⣴⠶⡀⡄⠀⢸⡀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⢿⣇⠀⠀⠀⢻⣿⡀⠺⡇⠀⠀⢧⠀⠀⠀⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢳⣆⠀⠀⢈⢿⣆⢀⣄⣀⣿⣧⡀⠘⠆⠀⢸⠀⠀⠀⡼⠀⠀⠀⠀⣀⣶⡤⠤⢤⠶⢤⣀⠀⠀⠀⠀⢌⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠻⣷⠀⢠⣸⣿⣿⢯⠀⠈⢻⣷⡜⢮⠀⢸⠀⠀⢰⣳⣀⣠⡶⠚⠋⠉⠙⠛⠛⠂⠘⠛⠛⠀⠀⣀⠀⢱⣵⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡽⣄⠙⣷⣻⣧⠈⢻⣿⣆⠀⢦⠉⠻⠦⠖⢸⠀⠀⠈⢇⡩⠏⠀⠀⠀⢀⠄⢤⠀⠀⠀⠀⠀⠀⠀⠀⣉⠍⡹⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣦⡘⣿⣿⣦⠈⢿⣿⣟⠈⢣⠀⠀⠀⢸⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⢙⡚⠁⠀⠀⠀⠀⢀⠴⣚⠵⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠙⠛⠿⢿⣾⣿⣿⣦⠀⠘⣿⣆⠀⠧⠤⠤⢼⡄⠀⠀⠀⡏⠈⠒⠀⠈⠉⠉⠉⠉⠉⠐⠛⠛⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠛⠛⠛⠷⠀⠀⠙⠗⠂⠀⠀⠀⢹⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⢰⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠣⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⣴⡄⠀⠀⠀⠈⠛⠃⠀⠀⠀⠀⠀⠀⠀⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠧⠒⢤⣀⠖⠉⠉⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⡌⠀⠀⠀⠀⠀⣣⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⡠⣺⣤⣇⣠⡤⣧⣀⣦⣄⣾⣤⣟⣆⣴⠆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⢀⠀⡔⠁⡜⠀⠀⠣⠉⠀⠀⠈⢎⠁⠀⠀⠀⢀⠆⠀⠀⠀⠀⠀⠀ ⠀⢠⠒⠘⢆⠀⠙⡇⠀⡇⠀⠀⠀⠑⡤⢤⠔⢁⣑⠤⠀⠤⠊⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⣆⡀⠈⢆⡴⢄⠀⢁⠀⠀⠀⡠⠋⠀⠀⠀⠀⠉⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⢤⠀⠘⣧⢀⣘⣷⡈⢆⠈⠀⠀⡜⠀⠀⣠⡀⢀⢄⡀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀ ⢌⢳⣠⡼⢿⡇⢈⠷⣝⡀⡇⠀⡥⡴⠋⠉⠉⠉⠀⠉⠁⠀⠤⠾⠄⠀⠀⠀⠀⠀ ⣿⣦⣻⣷⡘⢿⡇⢣⠀⠀⡇⠀⢹⢀⠀⢀⣑⣃⡀⣀⣈⣔⠞⠊⠀⠀⠀⠀⠀⠀ ⠀⠉⠙⠿⠷⠄⠙⠦⠉⠁⠃⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
/ ________________O_==================== / OH |=================<=> \ GIANT SQUID |=================<=> \ ————————–0– ====================
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠐⢾⣿⣻⣿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⣀⡀⠀⠀⠀⠀⠀⠐⠈⠉⠛⠿⢿⣷⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢀⣴⣿⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⡿⠟⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣧⠶⠒⠲⢤⡀⠀⢀⡼⠋⠀⠀⠀⠀⠈⣝⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠁⠀⠀⠀⠑⠛⣦⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢀⠀⠀⠀⠀⠀⣀⡀⠀⠀⣾⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⡀⠀⠀⢸⣾⡄⢀⣿⡇⠀⠀⡀⣀⡀⡇⠀⠀⢸⣷⣠⡀⡀⢠⣿⣇⠀⣸⣿⠟⣇⠀⢀⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⢿⣿⣄⠺⣼⣿⣧⣸⣿⣷⢰⣶⣿⣿⡀⣿⣿⡄⣠⢻⣿⣿⡇⣿⣿⣿⣾⣿⢟⡴⣿⣴⡿⣿⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡾⣿⣿⣧⣹⣿⣿⣿⣿⣟⣼⣿⣿⣷⣿⣿⣿⣿⣼⣷⣿⣿⣷⣿⣿⣿⣿⣯⣾⣱⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡼⡇⣝⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⢿⣿⣿⠿⢿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠃⠀⢠⡟⠀⠀⠈⠉⢿⡀⠹⠿⠟⠀⠈⠁⠀⠉⢹⡀⠻⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⢤⣄⠀⠀⣰⠟⠀⠀⢸⡾⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀ ⠀⠀⠀⠀⢀⣠⡤⢤⣿⡁⠀⠀⠈⠹⢶⣯⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠙⢆⠀⠀⠀⠀⠀⠀⣠⡞⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀ ⠀⠀⠀⣴⡏⠁⠀⠀⠘⢷⡀⠀⠀⠀⠈⢿⡀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡷⠶⠦⠶⠞⠉⠀⠀⠀⠉⣓⡶⣤⣀⣠⠴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀ ⠀⠀⠰⣿⡇⠀⠀⠀⠀⠈⢿⡄⠀⠀⠀⠈⢃⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣧⠶⠚⠐⠒⠒⠒⠛⠉⠛⠲⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⢿⣆⣠⠀⠀⠀⠘⣿⣀⢴⡿⢧⡈⡄⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⣿⡀⠀⠀⠀⠘⣿⣿⡄⠐⢽⡅⠀⠀⠘⣧⠀⠀⠀⠀⠀⢠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣦⣄⠀⠀⠀⠈⣿⣿⡀⠀⠀⠀⠙⣿⣷⡀⠀⠳⡄⠀⠀⢹⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⢀⣀⡀⢀⣀⣀⣄⣀⠀⠀⠀⠀⠀⠀⠈⠹⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⣿⣆⡄⠀⠐⠊⢿⣿⣤⣿⡖⠒⠿⣿⣷⡄⢦⡹⡄⠀⢸⡆⠀⠀⢀⡟⠀⠀⠀⢀⣀⣴⣶⣿⣿⣉⣉⣿⡉⠙⣷⣦⣤⡀⠀⠀⠀⠑⢮⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⠘⢿⣿⡀⢠⣆⣼⣿⣿⡛⣇⠀⢦⠈⣿⣿⣎⠳⣆⠀⢸⡇⠀⠀⢸⣹⣄⣤⠶⡫⠉⠁⠀⠀⠀⠀⠀⠈⠁⠀⠀⠉⠉⠀⠀⠠⣤⣀⣀⣷⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡹⣦⡀⠻⣿⢸⣿⡄⠀⠹⣿⣿⡄⡀⠳⡀⠉⠻⣷⡬⠖⢸⡇⠀⠀⠈⢧⢀⡴⠋⠀⠀⠀⠀⢀⡤⢤⡄⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢀⣨⠉⣱⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣾⣷⣄⠸⣿⣿⣿⡄⡀⢿⣿⣿⡼⡄⠹⣄⠀⠀⠀⠀⢸⡇⠀⠀⠀⠈⢷⡀⠀⠀⠀⠐⠰⠈⢳⣆⠾⠃⠀⠀⠀⠀⠀⠈⢀⣠⠴⣛⡵⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⣿⣿⣿⣷⣝⣿⣿⣷⣄⠀⠃⢿⣿⣄⠀⠙⡄⠀⠀⠀⢸⡇⠀⠀⠀⠀⣸⠃⠤⣀⡀⠀⠤⠴⠴⠶⠤⠤⠤⠤⠤⢄⣤⣠⡭⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⠙⠛⠿⣿⣿⣿⣿⣦⡀⠈⠿⢿⣆⠀⡟⠛⠛⠛⠚⢧⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠋⠉⠙⠻⠷⠀⠀⠀⠙⠛⠃⠀⠀⠀⠀⢸⡀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠲⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⢀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣣⡄⠀⣬⣀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠉⠁⠀⠈⠛⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠋⠀⢢⠔⠒⠒⢄⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⠒⠶⠚⣻⠳⠇⠀⣻⠂⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠉⠀⠉⠀⠉⠀⠈⠁⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠐⠒⢲⠏⠀⠒⠀⠀⠒⠀⠀⠀⠀⠈⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠴⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⢄⣀⠀⠀⠀⠀⣀⣠⠤ ⠀⠀⠀⣠⠎⠁⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠈⠳⡖⠊⠉⠀⠀⠀ ⠀⢠⠞⠁⢀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀ ⣰⠋⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠘⢄⠀⠀ ⡇⠀⢀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠢⡀⠀⠀⠀⠈⡆⠀ ⠳⣄⠘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⣠⡟⠲ ⠀⠈⢳⠻⢦⣄⣀⠀⠀⠸⠷⠆⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣾⣀⣠⠶⠋⠀⠀ ⠀⠀⢸⠀⠀⠈⠉⠟⠛⠲⠤⠶⠶⠶⠶⡶⠖⠚⠛⠉⠈⠁⢀⠏⠀⠀⠀⠀⠀ ⠀⠀⢘⡄⠀⠀⠀⠢⠔⡰⠀⠀⢖⠢⠤⠃⠀⠀⠀⠀⠀⣀⣸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢹⡀⠀⠀⠀⠀⠢⠤⠤⠜⠀⠀⠀⠀⠀⠀⠀⢎⢠⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⠈⡇⠀⠀⠀⠁⠒⠤⡤⠤⠤⢴⠂⠀⠀⠀⠰⠂⢻⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠓⡦⠤⠤⠤⢤⡶⠁⠀⠀⠸⢤⠤⠤⠤⠼⢴⠚⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⢄⣀⣠⠞⠁⠀⠀⠀⠀⠀⠧⣀⣀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢄⡦⣄⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠋⠀⠀⡆⠀⠀⠀⢠⣷⣶⡿⠆⠀⠾⣿⣶⠂⠇⠀⠀⠀⠀⠀⠀⠇⠀⠀ ⠀⠀⠀⠒⠐⠚⠁⠀⠀⠀⣈⠝⠋⠒⣄⡔⠂⠐⠢⡀⢸⠀⠀⠀⠀⠀⠀⡃⠀⠀ ⠀⠀⠀⡀⠉⡆⠀⠀⠀⠀⢇⠀⢀⡀⠸⢀⡀⠀⠀⢡⠀⡆⡀⠀⠀⠀⠀⡇⠀⠀ ⠀⠀⠀⠉⠈⠁⠀⠀⠀⢸⢸⠀⣿⡿⢠⢿⣿⠀⠀⢸⠀⢃⠈⠀⠀⠀⠀⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⢟⠤⠀⢀⡼⡆⠀⠀⣠⠎⠀⢸⠀⠀⠀⠀⠀⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⠀⠉⠉⣉⣀⣈⠉⠉⠁⠀⠀⠀⢇⠀⠀⠀⠀⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠈⠉⠀⠀⠀⠀⠉⠑⠀⠀⠀⠘⡄⠐⠂⢁⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢄⠀⠀⡇⠀⠀ ⠀⠀⠀⠀⡠⠊⠀⠀⠀⠀⡠⠄⠒⠢⣀⠔⠒⠂⢄⠀⠀⠀⠀⠀⠈⠱⢤⡇⠀⠀ ⠀⠀⣠⠊⠀⠀⠀⣀⢔⠋⠀⠀⣠⠶⣸⠤⢤⡈⠢⡑⠄⡀⡀⠀⠀⠀⠀⠑⡀⠀ ⢠⡔⠁⠀⠀⠂⠁⠀⠀⠀⠀⠀⢷⡠⡀⠀⡰⠃⠀⠀⠀⠀⠉⠐⠠⢀⡀⠀⠘⠄ ⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢾⡾⠛⠉⠙⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘ ⠀⢀⣴⣶⣦⡀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣠⣤⣄⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⠶⠶⠟⠛⠛⠉⠉⠁⠀⠀⠀⠛⢿⣿⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡴⠞⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠶⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢻⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣀⣀⠀⠀⠀⠀⢠⣴⢶⣾⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⠀ ⠀⠀⢀⣴⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣍⠹⡻⢶⣦⣿⣿⣿⣿⣿⣿⣿⣷⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⡆ ⠀⢠⡞⠉⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠷⠁⢤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⡀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣶⣶⣤⣀⣀⣠⣿⣿⣿⣿⣿⣿⣿⡇ ⢠⡟⠀⠀⠘⣿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢸⠁⠀⠀⠀⠈⠻⢿⣿⣿⣷⣶⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⠘⣿⣿⣿⣿⣿⣿⠟⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣼⠀⠀⢲⡄⠀⠀⠀⠉⠛⠻⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⡍⠀⠈⠉⠉⠉⣩⠏⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢹⡄⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣦⡀⠀⠀⣰⡏⠀⠀⢿⣿⣿⣿⣿⣿⣿⡿⠁⠀⣿⡆⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠸⣇⠀⠀⠀⠀⠙⠳⣄⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⠘⠿⣿⣿⣿⣿⣦⣴⣿⠀⠀⠀⠈⠛⠿⠿⠿⠿⠋⠀⠀⢠⣿⣷⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠀⢻⣄⣦⠀⠀⠀⠀⠀⠁⢠⡀⠀⠰⣦⡘⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣾⣃⣀⠀⠀⠀⠀⠙⠿⠛⢿⣿⣷⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⠀⠀⢶⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠀⠀⢻⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣯⠹⣿⣿⣿⣷⣄⣀⣀⣶⣿⣿⣿⣿⣿⣿⡿⠛⠀⠀⠶⢀⣀⣠⡀⠀⠙⣿⣿⣷⣤⣀⣀⠀⠀⢀⣠⣴⣿⣿⣿⡁⣀⣀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⡇ ⠀⠀⠀⠹⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠧⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠘⠟⢀⣠⣶⣿⣿⠷⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡟⣿⣿⡿⢷⣶⣄⡀⠈⠻⢿⣿⣿⣿⣿⡇ ⠀⠀⠀⠀⠀⠙⠿⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⠙⢿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣴⣿⣿⣿⣿⢋⡀⠀⠀⢀⣀⠀⢀⣼⣿⣿⣿⣿⣿⠟⢁⡀⣽⡿⠋⠉⠑⠳⠾⣿⣿⣿⣿⣦⡙⠻⢿⣿⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠶⠶⠶⠤⠴⠶⠒⠀⠀⠀⠀⠉⠉⠁⠀⠙⠻⢿⣿⣿⣿⣿⣿⡿⠁⠈⠁⣀⣴⣿⣿⣇⣸⣿⣿⣿⣿⠟⠁⠰⣻⡿⠛⠁⠀⠀⠀⠀⠀⠀⠈⠉⠛⠙⠿⣷⡾⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣷⣶⣶⣾⣿⣿⣿⡟⢹⣿⣿⣿⣿⠃⢀⣴⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⢿⣿⣿⣿⣿⡿⣿⡿⣸⣿⡿⠻⣿⣤⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣶⣤⣶⣿⣿⣥⣾⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠛⠿⣿⣟⡛⠛⠛⠛⠛⠛⠛⠻⣿⣶⣦⣤⣀⠀⠀⠀⠉⠛⠛⠛⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⣽⡿⣻⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣦⣀⣀⣀⣀⡀⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣶⣬⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠛⢛⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⢿⣿⣿⣿⣿⣿⣧⣤⣴⠶⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢰⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠰⠀⢣⠀⠀⢀⡀⠤⡄⠀⠄⣰⣿⣿⣿⣿⣷ ⠀⣤⣿⣿⣿⡿⠳⠀⠀⠀⠀⠀⠀⢠⠀⢘⡤⠒⠉⠀⠀⠀⡠⣳⣿⣿⣿⣿⣿⣿ ⣰⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢀⠔⠉⠀⠀⠀⠀⠐⡏⣰⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣤⠀⠀⠀⢀⣇⠔⠁⠀⠀⢠⠦⠤⣤⢴⣠⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣿⣿⣿⣿⣿⠀⢀⣴⠟⠁⠀⠀⠀⢠⡇⠀⣀⡁⣀⢹⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣿⣿⣿⣿⣿⣴⠟⠁⠀⠀⠀⠀⠀⠈⠙⠦⠝⢣⣽⣿⣿⣿⣿⣿⣿⣿⣿⣧ ⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⠃⠀⠀⠁⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠂⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠠⢻⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠀⠀⡀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡛⠶⡇⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⣾⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿ ⠛⠛⠻⠿⢷⠤⣧⠀⠀⡶⠉⠉⠛⠛⣟⡻⣻⠛⢻⢫⡝⠉⠉⠉⠙⠛⠋⠙⠛⠛ ⠀⠀⠀⠀⠘⣖⠁⢵⠚⠀⠀⠀⢀⣀⡀⠼⠓⠒⠉⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⠓⢲⠾⠤⠤⢤⠤⠇⠑⣖⠒⢒⡖⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠑⠠⠜⠋⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠤⠤⠤⠤⠤⠤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠢⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠈⢦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠁⠀⠀⠀⠀⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠰⡜⢠⠂⠀⠀⠀⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⡰⠋⠀⠀⠀⠀⠀⠀⠀⡇⣎⠀⠀⠀⠀⠈⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠹⡄⠀⢠⡤⠴⠚⢧⡀⠀⣮⣴⣦⣀⡀⢠⠟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⣀⡏⠶⢸⡻⠿⠿⢟⡇⠀⢿⡻⢿⣿⣷⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀⡞⠁⠀⠀⠀⠈⠉⠩⠟⠀⠀⠀⡿⠮⠉⠀⠙⡎⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣀⠀⢧⡀⠀⠀⠀⠀⠀⢀⡤⠀⠀⠀⡇⠀⠀⢀⡼⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠉⢹⠒⠢⢤⠀⢀⣾⢶⣆⠀⠀⣿⣀⡴⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⢸⠀⠀⢼⡀⡜⠀⠀⣠⣍⣭⡉⡆⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡤⢤⠏⠀⠀⣸⠀⠀⠀⠓⠃⠰⣯⠴⠧⢾⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣤⠴⠒⠋⠉⠁⢰⠋⠀⠋⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠈⠒⠒⠚⠁⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⡴⠟⠉⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⢧⡀⠀⠀⠀⠀⠀⠀⠀⠤⢤⡀⠀⠙⣆⠀⠀⠀⠀⠀⠀ ⣞⣁⣤⣄⣀⣀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠙⠲⠤⣀⠀⠀⠀⠀⠀⠀⣱⢀⣀⡼⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⢦⡀⠀⠀⠸⡄⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⡶⣄⡴⠞⢹⠍⠀⠀⠈⠋⠳⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⣆⠄⠀⠙⢆⢓⡇⡠⡀⠀⠀⠀⠀⠀⠀⢚⡁⠀⠀⣠⣎⠀⠀⠀⠀⠀⠀⠹⢷⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⡿⠀⢻⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⠀⣰⠃⠀⠈⣇⠀⠙⠲⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⠀⢠⠇⠀⠀⠀⠸⡄⠀⠀⠈⢳⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⠀⣸⠁⠀⠀⠀⠀⠀⠘⡆⠀⠀⣠⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢲⡏⠀⠀⠀⠀⠀⠀⠀⢻⠖⠊⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠶⡄⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡀⡇⠀⠀⠀⠀⠀⠀⢸⣶⣿⣦⡀⠀⢀⣠⣤⣼⠁⠀⠀⠀⠀⠀⠀⢀⠀ ⠀⠀⡇⣇⠀⠀⠀⠀⠀⠀⠸⣿⣿⣡⠗⠒⣾⣿⣿⢹⡆⠀⠀⠀⠀⠀⣴⠉⡇ ⠀⠀⣇⠹⣄⠀⠀⠀⠀⠀⣸⠉⠉⠀⠀⠀⠈⠛⣷⠋⠀⠀⠀⠀⠀⢀⡏⡼⠁ ⠀⠀⠘⣦⠈⠳⠤⣤⣀⣠⠇⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⣠⠞⢠⠇⠀ ⠀⠀⠀⠈⠙⠲⣤⣤⠴⠋⠀⠀⠀⠀⠀⠀⠀⢠⡗⠒⠶⠶⠖⠚⢁⡴⠋⠀⠀ ⠀⠀⢀⡴⠚⢉⣁⣀⡀⠀⠀⠀⠀⠀⡀⠀⡀⢸⠛⣖⠒⠒⠒⠚⠉⠀⠀⠀⠀ ⢴⣶⡯⠔⠚⠉⣠⠞⢁⣴⠂⣠⡏⢰⣇⠀⢿⠀⢧⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠞⢁⡴⣻⠃⡴⣿⠀⡏⣹⠀⢸⣧⠘⣷⣄⠳⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⡥⠖⠉⢰⢃⡞⢡⠇⣼⡇⡟⣇⠘⡏⢦⠸⡌⠓⠾⠶⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠀⠀⢠⣷⠋⠀⡾⣰⠋⣇⣧⠸⡆⣷⠈⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢚⡁⠀⢀⣷⠃⠀⠸⣿⠀⠙⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
((└(⌓̈」┌)┘))
⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿ ⣟⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⢾ ⣿⣞⣷⣻⣞⣷⣻⣞⣷⡻⠞⠋⠉⠀⠀⠈⠉⠑⠛⢾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⢾⣽⣻ ⣷⣻⣞⣷⣻⣞⣷⣻⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣽⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⡾⣷⣿⣛⣩⣭⣭⣽⣿⣽⣾⣷⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⡾⣽⣻⢾⣽ ⣟⣷⣻⣞⣷⣻⢾⠁⠀⠀⠀⢀⣴⡿⣿⢿⡶⣄⣠⣿⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣯⣽⣟⣛⠿⢾⣷⣿⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⡷⣯⣟⡷⣯⢿⣾ ⣿⣞⣷⣻⢾⣽⡇⠀⠀⠀⠀⢾⣯⢿⡽⣯⢿⡽⣯⢷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣾⡷⣿⠿⠛⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠖⠉⠉⠙⠻⢷⣿⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⡷⣯⣟⡷⣯⢿⣽⣻⢾ ⣷⣻⢾⣽⣻⣞⡇⠀⠀⠀⠀⠈⠙⠫⢿⣽⢯⡿⣽⢯⣷⠟⠚⠓⠛⢺⣷⣻⣞⣷⡻⠚⠓⠛⠚⣷⡿⠚⠓⠛⠚⣷⣿⡾⠛⢩⠞⣥⣶⣦⣤⣤⣿⣿⣿⣿⣿⣿⣿⠿⣟⡿⣿⡿⠿⠟⠋⠀⠀⠀⠀⢀⣠⣆⠈⠛⣿⣷⡟⠚⠓⠛⢚⡷⠛⠉⠉⠉⠙⠳⣟⣾⠗⠛⠉⠉⠉⠙⠳⣟⣾⣳⣟⣾⡳⠟⠚⠉⠉⠉⠉⠙⠻⣽⣻⢾⣽⣻ ⣿⣽⣻⣞⡷⣯⢿⡄⠀⠀⠀⠀⠀⠀⠀⠈⠛⢽⣯⣟⣾⠀⠀⠀⠀⢸⣷⣻⣞⣷⠇⠀⠀⠀⢠⣿⠇⠀⢀⣠⣾⣋⣥⠼⣿⣿⣆⠈⠉⠛⢻⣿⣿⡿⣿⢿⣿⣿⣷⡋⠉⣉⣥⣤⣶⣶⣶⣶⣶⡶⢶⣏⢷⣻⠎⠁⠀⢈⡳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⢹⣷⣻⡞⠉⠀⠀⠀⢀⣀⣀⠀⠀⠀⠈⢻⣻⢾⣽ ⣷⢯⡷⣯⢿⡽⣯⢿⡷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠹⣞⡟⠀⠀⠀⠀⣿⣳⣟⡾⣽⠀⠀⠀⠀⣸⣿⢀⣰⣿⣿⣧⢿⣀⣀⣉⠛⠿⢷⣦⣴⣾⣿⣏⢾⡱⢯⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣜⡧⣏⢿⣻⡅⠀⢸⠙⣷⡀⢠⣾⢿⡿⡄⠀⠀⠀⠀⣠⣾⡿⣷⠀⠀⠀⠀⢸⣿⠏⠀⠀⠀⢀⣴⣿⣻⡽⣷⠀⠀⠀⠀⣿⣻⢾ ⡿⣯⢿⡽⣯⢿⡽⣯⣟⣷⣻⢿⣶⣄⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⢠⣿⣳⢯⣟⡏⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠈⠙⠋⠙⢺⣧⣛⢧⡻⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⣽⣞⣉⣙⡄⠀⣀⠼⣿⣿⡽⣯⣟⠇⠀⠀⠀⢠⣿⣳⢿⣽⠂⠀⠀⠀⢸⡏⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠁⠀⠀⠀⣿⣽⣻ ⣿⡽⣯⢿⡽⣯⡿⣷⣻⢾⣽⣻⢾⣽⠆⠀⠀⠀⠀⣿⠀⠀⠀⠀⣸⣯⣟⡿⣞⡇⠀⠀⠀⢘⣾⣿⣿⣿⣿⣿⣿⠿⠿⣯⣿⣿⣿⣶⣤⣤⣤⣤⣼⣷⣽⣮⣷⣿⣁⣠⣆⠀⢠⣤⠀⢡⣄⠀⠘⣿⠻⠿⡏⠰⣿⣿⣿⣿⣆⠰⢀⠹⣿⣿⣳⢿⠀⠀⠀⠀⣸⢷⣯⢿⡝⠀⠀⠀⠀⣿⠇⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣿⢾⣽ ⣯⢿⡽⣯⠟⠋⠀⠱⣿⣻⢾⣽⣻⠞⠀⠀⠀⠀⣸⣟⠀⠀⠀⠀⢿⣳⢯⡿⡽⠀⠀⠀⢠⣿⣟⡻⢿⣻⣿⢿⡇⠀⠀⠀⠉⠉⣉⠀⠀⠀⠈⠉⠛⠛⠋⠉⠉⠈⠉⠙⠳⠶⣤⣥⣤⣶⣷⣾⠾⢯⣏⣀⣿⠀⡾⣝⣏⣻⣻⡀⠁⠈⣿⣟⣽⡏⠀⠀⠀⠀⣿⣻⣞⣯⡇⠀⠀⠀⢠⣿⡄⠀⠀⠀⠐⣿⣻⣟⡿⣽⠿⠿⠟⣯⣟⣾⣻⢾ ⡿⣯⣟⣷⡀⠀⠀⠀⠈⠙⠛⠊⠁⠀⠀⠀⠀⣴⡿⣯⠀⠀⠀⠀⠈⠛⠛⠋⠀⠀⠀⢀⣿⣯⡞⡽⣣⡿⠁⠈⣧⠀⠀⠀⢠⠏⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠛⠋⠉⠉⠉⠓⠦⢼⣿⡿⡷⢶⣄⡀⢰⣟⣷⣻⢾⠁⠀⠀⠀⢸⡷⣇⠀⠀⠀⠀⠙⠳⠯⠟⠉⠀⠀⠀⣠⣿⣳⢯⣿ ⣿⣳⣟⡾⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⢯⡿⣽⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⡿⠟⠋⠀⠀⠀⠈⡇⠀⠀⣸⠀⠀⠀⣇⢠⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣼⡿⣾⡽⡿⠀⠀⠀⠀⣾⣽⣻⣦⣀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣟⡷⣯⢿⣾ ⣟⡷⣯⣟⣷⣻⢿⣶⢦⣤⣤⣴⣶⡾⣿⣻⡽⣯⣟⡷⣯⣟⣷⣶⢶⡴⣶⢶⡾⣿⣟⣿⣾⠏⠀⠀⠀⠀⠀⠀⠀⣽⠀⠀⠸⡄⠀⢤⡏⠀⠀⠀⠀⠀⠀⠀⠀⢂⣉⣳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⢧⠀⠀⠀⣸⣿⣟⣷⣻⣟⣿⣻⣟⡿⣽⣞⡷⣯⣟⡿⣶⢶⡴⣶⢶⡾⣟⣷⣻⢾⡽⣯⣟⣾ ⣿⣽⣳⣟⡾⣽⣻⣞⣯⢿⡽⣞⣷⣻⢷⣯⣟⡷⣯⣟⣷⣻⢾⡽⣯⢿⡽⣯⣟⣷⢿⡿⠃⠀⠀⣴⡶⢶⣄⠀⠀⡟⠀⠀⠀⠘⠒⠋⠀⠀⠀⠀⠀⢀⣤⠶⢛⠏⠉⠉⠙⠿⣤⣀⠀⠀⣀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡿⠋⠀⠀⣰⣿⣿⣻⣞⣷⣻⣞⡷⣯⣟⡷⣯⣟⡷⣯⢿⡽⣯⢿⡽⣯⢿⡽⣾⡽⣯⣟⣷⣻⢾ ⣟⣾⣳⢯⣟⣷⣻⢾⡽⣯⢿⡽⣾⣽⣻⢾⣽⣻⢷⣻⢾⡽⣯⢿⡽⣯⣟⣷⣿⠟⠋⠀⠀⠀⠀⣿⠐⡆⠜⣆⠀⣇⠀⠀⠀⣸⢳⠀⠀⠀⠀⠀⣴⠏⢀⡜⠁⠀⠀⠀⠀⠀⠈⠉⠻⣏⠁⣀⢀⣀⣀⣀⣀⣠⣤⡤⠤⠶⣶⠒⠉⠁⠀⠀⠀⠀⠀⢿⣿⣷⣻⣞⣷⣻⢾⣽⣳⢯⣟⡷⣯⢿⡽⣯⢿⡽⣯⢿⡽⣯⣟⣷⣻⢷⣻⢾⣽⣻ ⣿⢾⣽⣻⣞⡷⣯⢿⡽⣯⢿⣽⣳⢯⣟⡿⣾⡽⣯⣟⣯⢿⡽⣯⣟⡷⣯⣿⡇⠀⠀⠀⠀⠀⠀⢿⡜⡨⠜⣻⠀⢹⡄⠀⠀⠘⠛⠀⠀⠀⢀⣸⣁⠤⠼⠄⠀⠀⠀⠀⠀⠀⠀⠐⡀⠹⣤⠟⢉⠍⠉⠀⠀⠀⠀⠀⠀⢂⠘⣦⠀⠀⠀⠀⠀⡄⠀⠸⣿⣷⣻⣞⡷⣯⣟⣾⣽⣻⢾⡽⣯⢿⡽⣯⢿⡽⣯⢿⣽⣳⣟⡾⣽⢯⣟⡿⣾⣽ ⣯⣟⣾⣳⢯⡿⣽⢯⡿⣽⣻⢾⣽⣻⢾⣽⣳⣟⣷⣻⣞⣯⣟⡷⣯⢿⡽⣿⣷⡀⠀⠀⠀⠀⠀⠀⠹⢧⡵⠏⠀⠀⢻⡄⠀⠀⠀⠀⠀⠸⣯⡴⠶⡶⢶⣶⣶⣶⠶⣦⠤⢤⣀⣀⠉⠓⢿⣄⠊⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢘⡇⠀⠀⠀⠀⢡⠀⢸⣿⣷⣻⢾⣽⣳⣟⣾⣳⢯⡿⣽⢯⡿⣽⢯⡿⣽⢯⣟⣾⣳⢯⡿⣽⣻⢾⣽⣳⢯ ⣿⣞⡷⣯⢿⡽⣯⢿⣽⣳⣯⢿⡾⣽⣻⣞⣷⣻⣞⣷⣻⢾⣽⣻⡽⣯⣟⡿⡟⢿⣄⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⢀⣀⣀⣷⣀⣹⣄⣛⣿⣛⡴⠋⠀⠀⠀⠈⠉⠛⡾⠏⢀⠤⠔⠒⠒⣉⣀⣀⣀⣀⣁⡉⠙⣦⠀⠀⠰⠁⠀⣾⣿⢷⣯⣟⣾⣳⣟⡾⣽⢯⡿⣽⢯⡿⣽⢯⡿⣽⣻⣞⡷⣯⢿⣽⣳⣟⡿⣾⣽⣻ ⠁⠉⠉⠉⠉⠉⠉⠉⠈⠁⠉⠉⠉⠁⠉⠌⠡⠍⠬⠥⠭⠭⠬⠥⠭⠥⣭⣟⣵⣟⣿⡇⠀⢠⣤⣄⠀⠀⠀⠀⠀⠀⣾⠀⠀⢀⣤⢾⣯⠉⣀⠛⠂⠈⢳⡉⠉⠁⠀⠀⠀⠀⠀⠀⢀⣼⣁⣤⡴⠶⠟⠛⠛⠋⠉⠉⠉⠉⠉⢙⡟⠁⠀⠀⡇⠀⢸⡟⠯⠭⠬⠍⠬⠥⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠡⠉⠈⠉⠉⠉⠈⠡⠉⠉⠁⠉⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣮⣾⣿⣿⣿⣿⣿⠀⠰⡇⣸⡇⠀⠀⠀⠀⠀⣹⡄⠀⣾⡟⠀⠀⢀⣷⡴⠄⠀⣼⠁⠀⠀⠀⠀⠀⠀⢀⣠⠞⠉⢿⡀⠑⢄⠀⠀⠀⢀⣀⣤⠤⠶⠶⠿⣄⡀⠀⠀⠀⠀⢸⡇⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣾⡿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠻⠼⠙⠀⢀⢀⡀⠀⠩⢷⡀⠙⢼⡄⠀⠀⢸⣧⠀⠀⠈⠙⠶⠦⢤⡤⠶⠞⠋⠁⠀⠀⢀⣙⣦⡤⠵⠖⠛⠉⠀⠀⠀⢀⡠⠔⣺⡇⠀⠀⠀⠀⢈⡇⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⢻⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⣺⡟⡉⢧⡀⠈⣧⠀⠀⠀⠀⠀⠀⠛⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⡀⠀⠀⠀⠀⠔⠒⣉⣀⣤⠾⠋⠀⠀⠀⡘⠀⣸⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠙⠊⠭⠻⢍⠙⠛⢿⡆⠀⠀⠀⣻⣤⣱⣮⣷⣤⣿⣤⣀⡀⠀⠀⠀⠀⠈⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡈⡙⠛⠻⠿⠛⠛⠛⠋⠉⠀⠀⠀⠀⠀⠐⠁⣰⡟⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⣀⣨⣿⣶⣿⡿⣟⡿⣯⣟⡽⣏⡿⣝⣏⣽⡇⠀⠀⠀⠀⠀⣨⡷⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣻⢿⣶⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣹⣿⣿⣿⣿⣿⣿⢿⡿⣿⢿⡿⣿⠟⡟⢾⣧⠀⠀⠀⢠⣾⠋⠀⠀⠈⣹⠶⢦⣄⣀⡀⠀⠀⠀⣀⣀⠴⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣻⢿⡟⠿⣧⠑⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣿⣿⣿⠿⣿⠷⣯⣿⣭⣟⣳⢯⣿⡘⠦⣿⣿⠀⠀⢄⠙⠳⣦⣀⣰⠏⠀⣼⠃⠀⠈⣿⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡷⣯⢯⣿⡒⣿⣿⡿⠷⣮⣒⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⢛⠻⣿⣶⡿⠋⠘⣏⢹⣾⡽⣏⡿⣌⣷⣿⠏⠀⠀⠘⢗⣤⡀⠙⠃⠀⠰⣧⣄⣀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⣘⣿⣿⣽⣳⢯⣿⣿⣁⣤⠄⢷⡍⢷⣌⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣽⡟⣴⡿⢫⡏⢀⣤⠔⢷⡄⢀⣿⣿⣝⣯⢩⢛⣿⡄⠀⣀⡀⠀⠙⠷⣧⣴⣢⣄⠀⠉⠉⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡅⠀⣿⣿⣿⢯⣯⣗⠛⣿⣧⠻⣿⡾⠏⢠⣽⣆⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⣿⢿⣷⠆⢿⡏⠙⣧⠻⣿⠿⠋⢠⣿⣿⡞⣿⡌⢣⢻⣷⠊⠁⢹⠀⠀⠀⠀⠀⠈⠛⢷⣤⡤⠖⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢋⣿⣿⣿⣻⢶⣻⡍⣿⣏⣷⣶⡶⠂⣶⡈⣿⣟⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣼⡟⣿⠿⠿⢾⣿⣛⣯⣤⣤⣀⢀⣾⠿⣿⣿⢿⡟⠿⠷⣿⠀⢠⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⢿⣷⢿⣧⣿⣿⣟⠻⡶⠟⠂⣙⠣⣿⡿⣧⣡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠂⢁⠂⠄⢈⠐⢀⠐⡀⠂⠄⠡⠀⢂⠐⠠⢀⠡⠐⠀⠌⡀⠌⠐⢈⠀⠂⡁⠠⠐⢈⠀⠂⠄⡈⠄⠐⢈⠀⡐⠠⠈⠐⡀⠁⠄⡈⠄⠠⠁⡀⠂⢁⠠⠐⠈⢸⣿⡏⠀⠀⣿⣟⣐⠶⠶⣦⣤⣌⣀⡄⠡⢈⢳⡀⢻⣆⠠⠁⢻⣇⠹⡇⠀⢂⣤⠾⠛⠁⠀⠀⠀⠀⠉⠑⣄⠁⡀⠂⠌⠐⡀⠂⢁⠂⡀⢁⠂⢈⠀⠂⡐⠀⠂⡁⠄⢁⠠⠁ ⠖⠁⡀⢂⠈⠠⣐⠦⡴⣄⠂⡈⠄⢈⠠⠐⢀⠂⢀⠂⠡⠀⠄⠂⠁⠄⡈⠐⢀⠁⡐⠠⠈⠐⠠⢀⠂⠁⠄⠂⡀⠂⢁⠂⠠⠁⡐⠀⠄⡁⠐⡀⠁⢂⠀⢂⣿⣿⣿⣟⠀⠀⣿⠍⢻⣧⠀⠀⠈⠉⠉⠙⠛⠦⢀⣡⡀⢻⣆⠐⠈⣿⡄⠐⠛⠉⣀⣤⠴⠒⠀⠄⠂⠠⢀⠀⣼⡆⠀⠡⠐⠠⢀⠁⠂⠠⠐⢀⠐⠠⠈⠐⡀⠌⠐⢀⠐⠠⢀⠂ ⠀⢂⠐⢀⠈⠴⣉⠊⠐⢨⡄⠂⠐⠠⣠⢌⡤⠲⣄⡂⠁⡐⠈⠠⠁⢂⠀⡁⠂⠠⠐⢀⠡⠈⠄⡀⠂⠡⠐⠠⢀⠁⠂⠠⠁⡐⠀⠌⠀⠄⡁⠠⠁⣠⣨⣾⣿⡇⢻⣿⣴⣾⣿⠀⣨⣿⣦⡀⠄⠠⢀⠐⠂⢀⡀⠀⠀⢸⣿⣄⣁⡘⠿⠦⠶⠾⠋⠀⠄⠂⣁⣐⣈⣤⡶⠶⣿⡇⠀⠡⢀⠡⠀⠂⢁⠂⠁⠄⡈⠄⢈⠐⢀⠐⠈⠠⢀⠡⠀⠄ ⠀⣦⡴⢂⣈⠰⡁⠠⠁⢂⠳⣈⡰⣇⠓⠊⠌⢁⢠⡃⠐⢀⠁⠂⡁⠄⠂⠐⢈⠀⠂⠄⡐⠀⢂⠀⠡⠐⡀⠡⠀⠌⢀⠡⠐⠀⠌⢀⣡⣦⣴⣾⠿⠟⣻⠿⣿⣿⣿⣿⣿⣿⣿⣷⡿⠉⠙⠛⠿⢷⣦⣤⣁⡂⢀⠉⠠⣼⠛⠉⠉⢻⡀⠠⣀⣴⣴⣷⠾⠟⠛⠋⠉⢁⣠⣴⡿⠁⠈⠄⠂⠠⢈⠐⠠⢀⠁⢂⠠⠐⡀⢈⠠⢀⠁⠂⠄⡐⠈⡀ ⠘⢱⠈⠁⠚⣶⠑⠀⢢⡄⠈⢡⠃⠀⡄⠁⠂⢠⡞⡅⠀⠂⠈⡄⢠⣴⣿⣿⡟⢻⣧⡄⠐⠈⢠⠈⠐⢠⠐⠀⢡⠐⠀⡄⠂⢡⣶⣿⠛⠉⠁⠀⠀⣼⣧⠀⠉⠛⠛⣿⣿⣯⠀⠉⠀⠀⠀⣴⠀⠀⠀⠉⠙⢻⣷⣤⠑⡏⠀⠀⠀⠘⠛⣴⡟⠉⠀⠀⠀⣤⣶⣶⣿⡟⠛⠁⢠⠀⠁⠂⡌⠐⠀⠐⠀⠂⠈⠀⡄⠂⡄⠂⡄⠂⠈⠐⢠⠀⠂⡄ ⠀⠑⠮⣤⠀⡀⠡⡙⡎⠑⡎⠀⠄⡢⢄⣡⢎⠳⠌⠀⠌⡀⠂⢄⣾⣿⢏⡶⠙⢺⡿⣿⣷⡀⠂⢉⠠⢀⡂⢈⣀⣤⣶⣾⠿⢿⣿⡷⠀⠀⠀⠀⣠⣿⣿⡄⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⣠⣿⣧⡀⠀⠀⠀⠀⢹⡟⠿⠷⣦⣤⣄⣠⠀⠛⠀⠀⠀⠰⢶⣯⣄⡀⠀⡀⠄⡐⠠⠈⠐⠠⢀⠂⠁⠄⡁⠂⠌⡐⠀⠆⡐⠤⡐⠤⡑⢄⠢⢌⠀⠄ ⠠⠈⡐⢀⡗⠀⡐⠈⠱⢎⠑⠈⠸⣱⠈⡐⠈⡐⠈⡐⠠⢀⠡⠸⢿⣿⣿⡏⠠⠀⠻⣽⣿⡇⣐⣠⣴⣶⠿⠟⠛⠉⠁⠀⠀⣨⣿⣷⡲⢶⣺⣿⣿⣿⣿⡁⢂⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⣿⣿⣶⣄⣤⠶⣶⣾⣇⡀⠀⠀⠉⠉⠛⠻⠷⣶⣄⣀⡀⠀⢀⠙⢿⣆⠠⠐⡀⠄⠡⠈⠄⡀⢂⠡⠐⠠⢁⠆⠤⡑⢂⠌⡰⢈⠆⡘⡄⠣⠄⠌⡀ ⠀⠂⢄⡏⠆⠐⡀⢌⡲⢄⠈⡐⠀⠄⠛⢶⣂⠀⠂⠄⠡⠠⢀⠐⣸⣿⣿⡇⢀⠡⠀⢿⣿⣷⣿⣟⠉⠀⠀⢀⣀⣤⣴⡶⠿⠛⠋⠛⠻⣿⠟⠋⢁⣿⣿⠌⡅⠂⠀⠀⠀⣀⣤⡴⡾⠃⢸⣿⡏⣉⡛⠛⣻⡿⠻⠛⣿⣿⠷⣶⣤⣄⣀⠀⠀⢉⣿⡯⢀⠸⣷⣼⣿⡆⠐⡈⢆⠡⢂⢆⠰⣀⠆⠱⣈⠰⣈⠒⢤⢂⡌⢄⠲⢤⠱⢌⡱⢌⡐⠠ ⠠⠁⠺⠄⠂⢁⡰⠎⠁⠩⣄⠠⠁⢂⠈⡀⠸⡄⠈⠄⠂⠡⠀⠂⣿⢿⣿⣿⠀⠠⠁⡀⣿⣿⡟⣿⣄⠘⠛⠻⣿⣟⠁⠠⢀⠂⠄⣡⠞⡭⠀⠌⢠⣿⣿⠈⡇⠀⠀⠀⠺⠏⠉⠀⠀⠀⢸⣿⡇⣿⠀⣰⡿⠁⢀⢃⣼⠏⠀⣠⣿⡿⠛⠃⣠⣿⠿⣥⡀⢄⣿⡇⢹⣷⠀⡐⢎⠱⢌⠲⣄⠲⡘⢆⡰⢰⠨⢍⠲⣈⠲⢌⡓⢄⡓⢆⡱⢠⡌⢡ ⠀⠡⡙⠲⣌⢲⡑⠊⢀⠁⡺⣄⠢⢄⡂⢤⡱⠽⠀⠂⠡⡀⢁⠂⠈⢾⣿⣿⣧⠀⡁⡄⠘⣿⣿⣌⣿⣿⣆⡀⠈⠻⢷⣇⡴⣢⢟⡱⠋⢀⡘⠠⢸⣿⣿⠡⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⣯⠰⣿⠠⠑⣠⡿⠋⢠⣾⠿⠋⠀⢀⣶⣿⣷⣆⡈⠙⠛⠛⠃⣾⡗⢠⠑⣎⠱⢊⠖⣠⠓⣘⠦⢨⠡⡚⢤⢓⢡⢚⠰⡘⢦⠱⢆⡹⢄⡜⢠ ⣆⠡⢌⠑⡊⠦⡁⢆⠀⢂⠄⡈⠳⠊⠙⢢⢁⠁⡘⠌⠢⢁⠆⡈⠐⡈⠏⡖⣿⡀⠄⠁⠄⠙⠟⠛⢿⣟⠿⣷⣄⠀⠀⠙⠿⣷⣚⡄⠐⡀⠌⡁⣈⣿⣿⢐⡇⢂⢤⡄⢀⡀⣀⠀⠀⠀⢘⣿⡇⢿⡄⠙⠳⠿⢛⣥⣴⠟⠁⠀⣠⣴⣿⠟⠡⢀⠘⠻⠷⣶⣶⡾⠟⡁⢂⡱⢂⠇⢎⠲⢠⠛⠤⠋⡴⠱⡘⠥⢎⠢⠘⠢⢉⠤⡃⠆⡅⠆⡌⠄ ⡞⡱⢊⠖⡠⠓⣌⢢⠘⢄⠣⢰⡁⢢⠡⢎⢢⠡⠀⣌⣰⣤⢢⣄⠡⡀⣄⠯⣽⠁⠠⣃⢈⡤⣈⠄⡀⠉⠻⣮⡿⣷⣦⡀⠀⠈⠻⢿⣧⣄⡐⢀⠐⣿⡏⣸⡇⠈⠀⠉⠙⠛⠉⠀⠀⠀⢸⣿⡇⠀⠛⣠⣠⣴⠾⠋⠁⢀⣠⣾⡿⢛⡁⢂⡔⢢⠆⣰⠠⡐⡠⡐⡰⢄⢣⠒⠌⠸⣀⠓⠤⡙⢢⠑⠸⠐⠌⢂⠄⣂⣡⣆⡡⠠⠁⠎⣌⠢⢅⢊ ⡽⣑⠫⢔⡡⢋⡴⢊⡱⢊⡕⢢⡙⢤⢋⡜⢠⢂⡵⡞⡵⢎⡷⡤⢶⡱⢎⡯⠏⠨⣅⠼⡙⠶⣩⢧⡐⠠⢁⢸⣿⣏⠻⢿⣦⡀⠀⠀⠉⠻⢿⣮⣹⣿⡇⠄⡗⠀⠀⠀⠀⠀⡀⢀⠄⠠⠙⣿⣷⣨⣷⠿⠛⠁⠀⣠⣤⣾⡿⢋⠆⣁⡐⠦⠘⠢⠜⡄⠣⡅⠱⡌⡑⠎⠤⡋⢄⠳⢠⠋⠴⡈⠔⡠⢁⠊⡐⣠⡾⠛⠋⠛⠳⣧⠑⣂⠦⣉⠆⢢ ⡟⣬⠓⣌⠲⣍⠲⣍⠲⡑⢮⢱⢚⡬⡓⡌⢳⣎⠷⣩⠝⣩⢚⡹⢣⠛⡉⢆⠌⣑⢺⢭⡓⣰⡘⢦⣿⠀⢆⡊⢿⣿⠷⣤⣙⣿⣶⣄⠀⠀⠀⠉⢻⣿⡇⡘⠟⡀⠆⠂⢹⠠⠙⠀⠊⠀⠀⢻⡿⠋⠁⠀⠀⣴⣿⣿⠿⣋⠄⣡⠒⠴⡠⣘⠠⡍⢒⡌⢅⡂⠇⡔⡡⠚⠤⡱⢈⠣⢣⠙⢄⢒⣾⠿⠛⠻⠷⠋⠀⢀⣤⡶⠀⢻⡁⢆⡣⢌⡎⢄ ⣟⡲⡙⢆⡳⣌⠳⣌⠳⣙⠎⡵⣊⠶⡹⣔⢩⢻⡜⣵⢪⠗⡶⡱⣆⡳⣵⢪⡼⣄⡉⠞⡹⢧⡝⢫⠃⣌⠰⡈⠤⡙⠟⡙⠻⢿⣾⣿⣷⣤⣀⠀⣿⣿⠃⡜⠣⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠀⠀⣤⣼⣿⣟⡡⠘⡀⠎⢤⠫⣔⢡⠒⣥⢊⢥⣊⠦⡑⣍⠲⢡⠛⡔⣣⠎⡴⢣⠙⡄⢺⣿⢸⣶⣶⣄⠀⠰⢫⠌⠁⠀⢠⠜⣠⠞⡴⢊⠆ ⣧⢳⡍⢦⡑⢮⡑⢮⡱⢎⡜⡱⢎⠼⣑⢮⡑⢂⠻⣎⠷⣛⡼⡱⢧⠻⢬⠷⡝⡞⣜⠣⣁⠣⣘⡡⢛⣌⢳⡉⠆⡉⣮⣑⡎⢤⠉⣿⣿⣿⡿⢶⣿⣿⠐⢢⠁⠂⠙⠷⠾⠶⠦⠀⠀⠀⠀⢸⣿⡄⠰⢿⣏⠇⡘⢠⡷⣜⣬⠄⢣⠘⣮⢱⢢⡍⠦⣜⢢⡓⠦⣋⢇⡛⠼⣡⢚⡱⢃⡛⠤⢛⣿⡎⠉⠙⣏⠀⠀⠨⠄⠀⠀⠉⢚⡄⡺⢌⡇⡚ ⢛⢣⢛⢣⠛⣣⠛⡥⢓⡩⠜⡱⢉⡜⡘⢢⠑⣎⠱⠠⢎⠘⡱⣉⢣⣋⠥⠬⠱⣜⡃⢆⠡⢓⠦⡻⠭⢎⠷⣹⢆⣑⣿⢛⡻⣷⣧⣽⣿⠏⠀⢈⣿⡇⢹⣀⠃⠀⡀⢀⠀⠀⠀⠀⠀⡀⠄⢠⣿⡇⠀⠈⣿⣷⣈⣽⡿⠟⣿⣏⡆⣩⢐⠂⢆⠸⣐⠢⢅⡊⠵⠰⡨⠜⣑⠢⡱⣈⠇⣩⢒⡞⠁⠀⣀⣴⡿⡄⠀⠠⢉⡓⢦⠀⠈⢲⢡⢋⠖⣡
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⠀⠀⠀⠀⠀⠀⠀⣠⡖⠒⠒⠶⠦⠔⠒⠛⠛⠲⠶⠤⠖⠒⠛⠓⠶⣦⣤⣤⣤⠤⠶⢶⣤⣄⣠⡤⠤⢤⣤⣀⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⠋⠀⡆⠀⠀⠀⠀⣀⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⡼⠃⠀⠀⣷⠀⠀⠀⢠⠀⠀⠀⢹⠀⣤⠀⠀⢺⡇⠀⢠⡤⠀⠀⠀⢠⣄⠀⠀⣷⠆⠀⢀⡀⠀⠈⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡾⠋⢀⡴⠛⡆⠘⣆⠀⠀⠈⠳⠄⠚⠁⠀⢹⣦⠴⠚⠓⠒⠾⣇⡀⠀⠀⢀⡿⠤⠒⠛⠤⢤⡿⠋⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⡼⠃⠀⢸⠁⠀⡇⠀⠘⣆⠀⠀⠰⡆⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠹⣦⠞⠉⠀⠀⠀⠀⠀⠀⠙⢆⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀ ⢠⡏⠀⠀⠀⠸⣷⡼⠃⠀⠀⣿⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⣠⣴⣶⢦⡀⢸⡀⠀⣠⣶⡤⣄⠀⠀⠀⠀⣇⠀⠀⠀⢈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠻⣿⡿ ⠈⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⢀⠇⢸⣿⣿⣿⣾⡆⠀⠀⠀⢸⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⢀⡼⠃⠀ ⠀⠈⢿⡆⠀⠀⠀⢀⣀⠀⠀⠘⡄⠀⠀⠀⠀⠸⣄⣀⣀⡀⠀⠙⠯⠿⠿⠋⣼⠀⠘⠿⠿⠿⠞⠁⠀⢀⣀⣏⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⢠⡴⡷⢾⠛⣻⣳⡀⠀ ⠀⠀⠀⣇⠀⠀⢠⣋⣝⡄⠀⠀⡇⠀⠀⠀⠀⣟⠉⠁⣌⠉⠳⣄⠀⢀⣠⠞⠉⠳⣄⠀⢀⣀⡤⠴⠒⠋⠁⠈⣷⠀⠀⢹⡄⠀⠀⠀⠀⠀⣟⠑⢤⣬⡏⠁⣼⡽⠀ ⠀⠀⠀⠹⣆⠀⢸⣿⡿⠀⠀⠀⡇⠀⠀⠀⠀⠈⠙⢻⡶⠤⢠⠞⠛⠉⠀⠀⠀⠀⠙⠉⠉⠁⠀⠀⢀⣠⡴⠚⠁⠀⠀⢸⡇⠀⠀⠀⠀⠀⠹⣄⠘⠋⠳⢞⡿⠁⠀ ⠀⠀⠀⠀⠈⡆⠀⠈⠀⣶⠋⢳⣴⡀⠀⠀⠀⠀⠀⠀⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠻⢯⣉⠉⠁⠀⠀⠀⠀⢀⡿⠁⠀⠀⠀⠀⠀⠀⣸⠃⡴⠿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⣧⠀⠀⠀⣿⡀⢸⠋⢣⠀⠀⠀⠀⠀⠀⣿⠈⠉⠛⠻⣶⠒⠒⠒⣶⣶⠒⠒⠚⡟⠋⠁⠀⠀⢀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⢠⠏⣸⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢦⠀⠀⠘⣧⠟⠀⢸⠀⠀⠀⠀⠀⠀⣿⠨⢸⣴⡆⣿⣄⣀⣀⣿⣿⣄⣀⣐⠇⠀⠀⢀⡌⠉⠙⡆⠈⡇⠀⠀⠀⠀⠀⢠⠏⢰⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⣿⣶⣾⣧⣤⠉⣉⣙⠉⣿⣿⠇⠀⠀⠀⠀⠀⠘⢧⠴⠚⠁⢠⣇⣤⣄⠀⠀⣰⠏⣰⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢙⣧⣄⠀⠛⡇⠈⡇⠀⠀⠀⠀⠀⠻⣍⠉⠙⠻⣟⠛⠻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣠⣄⠀⠀⡾⠁⢰⣦⠷⠚⢁⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡞⠁⠈⢧⠉⠀⠀⢱⠀⠀⠀⠀⡀⠀⠉⠳⠶⠤⣤⣤⣤⣬⠿⠏⠀⠀⠀⠀⠀⠀⢠⣴⠎⠀⢸⡇⠀⠸⣿⡖⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠸⡄⠀⠀⠸⠀⠠⣆⠠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡗⠲⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣀⣀⣀⣀⡿⠒⠒⠦⣤⠤⠤⠤⠤⣄⣠⠤⠤⠴⠦⢤⣀⣀⣀⣤⡤⠤⠤⢤⣀⡤⠤⠤⠤⣴⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⡟⠹⣯⣀⠀⠀⠀⡇⠀⠀⠀⠀⠈⠉⠓⠦⣤⡴⠋⠙⣿⣿⠁⠙⢦⡴⠊⠁⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⢀⡿⣿⣿⣿⣿⡟⠚⣿⣶⣾⣯⣵⠶⢿⣯⣿⣬⣾⠏⠻⣿⣭⣭⣿⡿⣿⣭⣭⣿⣽⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠨⣿⣄⠀⢹⢹⣇⠀⠉⠉⠉⠉⠛⠀⠘⠛⠉⠙⢿⣄⣼⠟⠉⠉⠉⠀⠙⠉⠉⠉⠉⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠹⣿⢦⣤⣿⣿⡀⠀⠀⠀⡀⣀⡀⡀⠀⢀⣀⣠⣽⣯⣀⣀⣀⣀⣀⣀⣀⣀⣠⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⢻⡄⢸⣟⡟⠛⠛⠛⠛⠛⣿⠉⠉⠉⠉⠉⠉⣿⣏⣉⣉⣛⣹⣿⠏⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡆⡀⢶⣤⡽⠀⠙⠻⡶⢴⡤⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠉⡏⣿⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣸⣆⠀⠀⠀⠀⡇⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⣇⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡧⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡦⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣆⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣾⣷⣄⣠⣀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣷⣴⢿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣟⣿⣷⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣾⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⡀⢠⡴⠛⠉⠀⠀⠀⠀⣠⣾⠖⠛⠉⠀⠀⠀⢀⣤⣴⠾⠛⣉⢀⣀⣀⣀⣀⠀⠀⠀⠈⠉⠛⠛⠳⠶⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡴⠶⠖⠒⠓⠚⠛⠁⠀⠀⠈⠉⠙⠳⠶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣤⣄⠀⠉⠛⠳⢦⣤⠤⢤⢠⡄⣀⠀⠀⠀⠀⠆⠄⠀⠀⠀⠀ ⠀⠈⠄⡀⠄⠈⡀⠁⡈⢀⠁⠠⠀⠁⠄⣰⡏⠀⠀⠀⢀⡤⠆⠈⠁⠀⠀⠀⣀⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⡀⠀⠀⠀⠀⠙⠻⢿⣦⣄⠀⠀⠀⠀⢀⣠⣴⡿⠟⠋⠁⠀⠀⣀⣤⣤⣶⣶⣶⣶⣿⣿⣿⣿⣷⣶⣿⣿⣿⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠈⠻⠷⣆⠀⠀⠀⠙⣷⡄⠀⠀⠉⡖⠀⠉⠀⠀⠀⠤⢀⠄⠀ ⠀⢁⠠⠀⢀⠂⢀⠐⠀⠠⠀⡁⠄⢁⠀⢾⣄⠀⠀⠐⠉⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠿⡭⣝⣯⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠙⢿⣷⡄⢀⣴⣿⠟⠉⠀⠀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠈⠀⠀⠀⢀⣼⡿⠀⣠⠎⡑⠀⠀⠐⠠⢀⠀⠀⠀⠀ ⠀⠄⠠⠐⠀⡀⠂⠠⢈⠀⡐⠀⢀⠂⠀⠀⡘⢀⣤⡶⡶⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠉⠀⠁⠀⢙⣾⣿⣿⣷⣯⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠈⣿⣿⣿⣿⠃⠀⠀⢀⣾⣿⣿⣿⣿⣿⢿⡿⣾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣯⣽⣿⣿⣿⣿⣿⡛⠳⠶⣶⣤⣤⣀⣸⠟⠀⠀⢣⡓⠀⠀⢀⠈⠄⠀⠀⠄⠀⠀ ⠀⠂⠐⠀⡁⠠⠀⢁⠀⠠⠀⠐⠀⠀⢀⠐⣠⡟⠁⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⢟⡿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⣼⣿⡿⠁⠀⠀⠀⣾⣿⣿⣿⣿⣿⡿⣷⣾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠉⠛⠻⣾⣿⣿⣿⣷⣄⠀⠉⢻⣍⢻⡆⠀⠂⠈⢱⡆⠀⠀⠀⠐⡀⠀⣆⠀⠄ ⠀⢀⠁⠄⠀⡐⠀⢀⠠⠐⠀⠁⢀⠈⢠⡾⠋⢀⣼⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⣸⣿⣿⠇⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⡱⢣⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⢻⣷⣿⣿⣿⣷⡄⠀⠘⢶⣿⠀⠁⠄⠀⠘⢣⢆⣈⠤⣼⠀⠸⠀⠀ ⠀⠀⡀⠀⠂⠀⢀⠀⠀⠠⠀⠂⠀⢠⡿⠁⢠⣿⣿⡿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⣷⣻⣿⣿⣿⡿⠃⠀⠀⠀⠀⣴⣿⣿⣿⣧⠄⠀⠀⠀⠀⢻⣿⣿⣿⣷⡿⢧⡙⢞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠻⣿⣿⣦⠀⠀⢻⣧⠀⠠⠁⡀⠀⠈⠈⠓⢈⠀⠄⠀⠁ ⠀⠀⢀⠐⠀⠠⠀⢀⠈⠀⠄⠐⢠⣿⠁⠀⣿⣿⡿⠓⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣼⣿⣿⣿⠟⠀⠀⠀⢀⣤⣾⣿⣿⡿⢿⣿⣧⡀⠀⠀⠀⠀⠹⢿⣿⣿⣿⣷⡛⠮⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⡆⠀⠀⢻⡆⠀⡐⠀⠁⠂⠐⢀⠠⠀⠠⠈⠀ ⠀⠈⠀⠀⠰⠀⡀⠆⠀⠆⠀⠆⣾⡇⠀⢸⣿⣿⢁⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⢱⢈⣉⡿⣿⣿⣿⠏⠁⠀⠀⠀⣰⣾⣿⣿⣿⠁⠀⠈⣿⣿⣿⣶⣀⠀⠀⠀⠀⠉⢿⣿⣿⣿⣿⡉⡆⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣾⣿⣿⣷⠀⠀⢸⡇⠀⢀⠀⠁⠈⡀⠆⠀⡀⠁⢀⠁ ⠀⢀⠂⠁⠠⠐⠀⠠⠀⠂⠈⠀⣿⡇⠀⠈⣿⣿⣿⣃⡌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⢻⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⣠⣴⣿⣿⢿⣿⣿⠇⠀⠀⠀⠸⣿⣿⡿⣿⣷⣄⡀⠀⠀⠀⠉⠻⣿⣿⣿⣾⣿⠿⣍⣛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣛⣿⣿⣿⠏⠀⠀⢸⡟⠀⢀⠐⠈⢀⠀⠄⠂⠀⠌⠀⡀ ⠀⡀⠄⠈⡀⠐⠈⠀⠄⠁⠌⡀⢿⣇⠀⠀⠙⣿⣿⣿⣿⡏⠁⢈⡿⢛⣿⠿⠟⢻⠛⣿⣟⡩⣶⣦⣴⣶⣿⣾⠿⠛⠉⠀⠀⢀⣤⣶⣿⠿⠻⣍⢰⣻⣿⡿⠀⠀⠀⠀⠐⣿⣿⡇⠠⠙⢿⣿⣦⣄⡀⠀⠀⠀⠉⠻⠿⣿⣿⣿⣿⣦⣤⡀⡙⣿⣿⠿⠿⣿⠿⡿⣿⣿⡿⢿⣿⡁⢰⣿⣿⣿⠟⠀⠀⢠⣿⠏⠠⠀⠠⠈⢀⠀⠂⢈⠀⠄⠁⡀ ⠀⠄⡀⠂⢀⠂⡁⠌⠠⢁⠂⠄⡙⣿⣧⡀⠀⠠⣙⢿⣿⣿⣿⣾⣴⣿⣿⣶⣾⣿⣿⣾⣿⣿⡿⠿⠟⠛⠉⠀⠀⣀⣠⣴⣾⡿⢟⡋⠦⡙⠧⡌⢣⣿⣿⡟⠀⠀⠀⠀⠀⢿⣿⠇⠀⠁⠂⠈⠏⠻⢿⣷⣦⣤⣀⡀⠐⠀⠉⠛⠻⠿⣿⣿⣷⣿⣿⣶⣿⣦⣤⣤⣠⣽⣿⣮⣿⣷⣾⣿⠟⠁⠀⠀⣠⣿⠟⡀⢁⠂⠁⡀⠂⠀⠌⠀⡀⠂⠐⠀ ⠌⡐⠠⡁⠢⡐⠄⡈⢅⠢⠌⡰⠁⡌⢻⣿⣦⣄⡀⠈⠳⠄⠉⠋⠛⠙⠋⠛⠉⠉⠉⠉⠀⠀⠀⠀⣀⣠⣤⣶⡾⠟⡛⣡⠒⠂⠀⠀⠀⢡⠒⡌⣱⣿⣿⡏⠀⠀⠀⠀⠀⣾⣿⡄⠀⠀⠀⠀⠀⠀⠀⠈⠙⡙⠻⢿⣷⣶⣤⣄⣀⠀⠈⠀⠁⠉⠛⠛⠻⠿⠿⠿⠿⠿⠿⠿⠛⠛⠉⠀⠀⣀⣤⣾⢿⣯⠐⡄⠂⠌⠐⡀⠄⢁⠂⠄⠠⢀⠁⡀ ⢢⠡⡑⢠⠑⡰⢈⠔⡈⢆⠱⣀⠣⠌⢳⣿⣯⠙⠻⠿⣷⣶⣦⣤⣤⣤⣤⣦⣴⣦⣶⡶⣶⠶⠿⢟⣟⠫⠍⢆⠑⠚⠉⠁⠀⠀⠀⠀⠈⢁⠂⠐⣼⣿⣿⡇⠀⠀⠀⠀⠀⢹⣿⡆⠀⠀⠀⠀⠀⠀⠈⠁⠀⠰⣁⢂⡐⡈⠛⢿⠻⢿⣿⢶⣶⣤⣤⣤⣤⣀⠀⣠⣀⣀⣀⣀⣠⣤⣴⣶⠿⠟⠋⠁⣼⡷⠐⢨⠡⠌⡐⠄⡨⢀⠌⠠⢁⠠⠀⠀ ⡃⠦⡑⢢⠑⠤⢃⠜⣈⠆⡡⢂⠆⠱⢘⣿⣿⠰⠖⠒⠠⠀⠀⠄⠈⠈⠁⠄⠂⠀⠀⠀⠶⠛⠛⠋⠉⠁⠬⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢨⡑⣞⣿⣿⡁⠀⠀⠀⠀⠀⣸⣷⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠂⠀⠀⠓⠀⠂⠈⠉⠉⠉⠛⢻⣟⠛⠛⠛⠛⠛⠋⠉⠉⠀⠀⠀⠀⣰⣿⠇⢡⠂⡅⢒⠨⡐⣁⠢⡘⡀⠂⠐⡈⢀ ⡱⢃⡜⠤⣉⠲⡁⢎⠰⡘⢄⠣⠌⡱⢨⣿⣿⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡁⢦⣜⣯⣿⡿⠀⠀⠀⠀⠀⠀⢠⣿⡷⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⢠⣧⡘⠉⠁⠀⠀⠀⠀⠠⣄⠀⠐⣿⣯⠏⡠⢒⡈⢄⠣⡐⠆⡱⢀⠁⢂⠡⠒⡄ ⡕⢪⡐⠥⢢⠱⡘⣄⠣⠜⣠⢃⡜⢠⢹⣿⡇⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⡾⠀⠀⣽⣷⣄⠀⠀⠀⠀⠀⠀⠠⠀⠈⣿⡏⡔⢡⠒⡌⢢⠑⡌⠒⠠⢀⠌⢠⠊⠥⠐ ⡞⡥⢎⡕⣣⢣⡓⣌⢣⡝⡤⢣⡜⢢⢹⣿⡄⠀⠀⠀⠀⠻⠿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⡿⠟⠛⠍⣯⣽⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⣼⡽⣿⠻⠿⢿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠀⢀⣾⠛⣹⣿⣦⠀⠀⠀⢀⣤⡇⠀⢠⣿⡷⢉⠆⡱⠌⣆⠱⠈⣁⠂⡌⢢⠁⢎⡐⠡ ⡽⣘⢧⡚⣥⢣⡝⣬⠳⣜⡱⢣⠞⣥⢺⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠟⠉⠀⢠⠴⠟⠟⢻⠹⣏⣿⡏⠀⠀⠀⠀⠀⠀⢙⣿⣿⣷⡄⠀⠈⠙⠻⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠏⠀⢠⡿⢉⡶⠁⠸⣿⣧⠀⢸⣿⣿⠃⢀⣾⣿⠣⣇⢎⡱⡘⢄⢃⠒⣠⠘⣄⠣⡘⢤⣈⠱ ⢷⡩⢖⡹⢆⢯⡜⣲⡙⢦⡝⣣⢛⡴⢣⢭⣹⣿⡄⠀⠀⠀⣀⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⡟⠁⠀⠀⠀⠀⠀⠈⡜⢠⠳⣜⣿⡃⠀⠀⠀⠀⠀⠀⢸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠻⢿⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠇⠀⠀⠎⠐⣻⡷⠀⠀⢘⣿⠀⠀⠙⠁⢠⣾⣿⣧⣛⢬⡚⡴⢡⢊⠤⣃⢦⡙⣤⠣⡍⢆⠦⡑ ⣧⣛⣬⢓⡏⡶⣙⠦⣝⢣⠞⣥⢋⡞⢥⣿⠟⢹⣧⠀⠀⠀⠻⣿⣱⡍⢻⢷⣦⡀⠀⠀⠀⠀⠀⢀⡀⠀⢾⣿⠋⠀⠀⠀⠀⠀⠀⠀⠐⡈⢆⣱⣞⡿⡅⠀⠀⠀⠀⠀⠀⠸⡼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⠄⠀⢀⡄⠀⠀⠀⢰⡿⡟⠀⠀⠀⣀⢡⣿⣷⣤⣴⣾⠟⠀⠀⠀⠀⢺⡇⠙⣿⡟⣦⠙⢦⠡⢎⡣⣝⢢⡝⡴⣣⣞⠈⢆⠱ ⣷⢳⣎⢯⣜⡳⣝⣎⢧⣛⢮⢇⢯⡘⣿⠏⠀⠘⠿⣆⠀⠀⠀⠀⠙⠛⠈⠘⠛⠉⠀⠀⠀⠀⠀⢾⣷⡀⠐⠛⠀⢀⣀⠀⠀⠀⠀⠀⠀⠜⣠⠫⣽⡇⠃⠀⠀⠀⠀⠀⠀⠀⢃⠏⡇⠀⠀⠀⠀⢀⣀⡀⠀⠀⠛⠀⢀⣾⡟⠀⠀⠀⠈⠙⣷⡀⠀⠀⠈⠛⡿⠿⠿⠛⠁⠀⠀⠀⠀⢀⣿⠃⠀⣿⣿⡐⣋⢦⡛⣬⠳⣬⠳⣼⢱⣿⣇⠞⣠⠣ ⣯⢳⢮⡳⣎⢷⡹⣜⢧⣛⣮⢛⢦⡙⣿⣄⣀⣀⣀⣙⡿⠳⠶⠖⠶⠖⠶⢦⣤⣄⣀⠀⠀⠀⠀⠈⠛⢷⣶⣤⣾⡿⠋⠀⠀⠀⠀⠀⠀⠘⡠⣙⣿⣯⠁⠀⠀⠀⠀⠀⠀⠀⢀⡁⣧⠀⠀⠀⠀⠘⢿⣿⣄⣀⣤⣶⡿⠟⠁⠀⠀⠀⠀⠀⠁⠀⠙⡶⠖⠂⠀⢀⣀⣠⣤⣄⣀⣀⣠⡾⠋⠀⠀⣿⡗⣼⡰⢧⡝⡶⣛⡴⣛⣴⣷⡾⣽⣊⠶⣩ ⢷⣫⢾⡱⣏⣞⡳⣝⢮⡝⣮⣙⢦⡻⣽⣛⣿⣿⣿⠿⣿⡀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠛⠷⢶⣾⣶⡞⠛⠛⠿⠷⠶⠶⣶⣤⣤⣄⣀⣢⣡⣽⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⢤⣁⣘⠀⠀⠀⠀⠀⠀⠀⠉⠉⣉⣀⣤⣤⡶⠶⣶⣿⡷⠾⠿⠻⠿⠶⠶⠶⠾⠟⠋⠉⠉⠉⠉⣿⣿⣷⣶⣿⠿⣻⣹⢶⣹⢧⡻⣕⢏⡞⡥⣿⢿⣽⡷⢭⣞⡵ ⠁⠈⠀⠉⠘⠈⠳⠙⠮⢝⡦⣝⣮⣗⣳⢯⣿⣿⣿⡄⢻⣷⣶⣶⣤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠓⠶⣤⣀⡀⠀⠀⠉⠉⠛⠛⣿⣿⣿⣿⣗⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⡿⠿⣿⡶⠶⠷⠾⠷⠿⠟⠛⠋⠉⣡⣤⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⢉⣿⡿⣬⢻⣵⣻⢾⣭⢷⡻⣜⢎⢖⡣⣿⡿⣾⣙⣧⣟⡾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⠿⠿⣿⣿⣾⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣆⣰⣀⡀⠀⠀⠀⠉⠹⢷⣆⣀⣀⣀⡾⠁⠈⣾⣹⡿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠈⢿⣷⣆⠀⠀⠀⣀⣶⠶⠏⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣰⣶⣶⣾⣿⣿⣿⡇⢸⣿⡹⣾⢿⣾⣹⢷⣎⢷⣹⠸⡎⡸⢶⡿⡿⠇⠉⠈⠹⠹ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢫⠙⢿⣷⠘⣿⣿⣻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⢿⣿⣿⣿⣿⣷⣶⣶⣤⣬⣍⣉⣠⣀⣤⣀⣻⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⠀⠀⠀⠈⣙⣻⣛⣋⣉⣀⣤⣤⣤⣤⣴⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⠃⣼⣿⡽⣯⢿⡾⡽⠷⠾⠛⠃⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢺⣿⢘⢿⣿⣿⣟⣾⣷⢯⣟⣯⣟⣿⣻⢿⣽⣻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣟⣯⢷⣿⣿⡟⢈⣿⠉⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⡟⢦⡀⢹⣿⡟⠛⠻⣿⣿⣾⣿⣾⣿⣻⣽⣳⣟⣾⣳⢯⡿⣽⣿⣻⣟⣿⡿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣟⣿⢾⣻⣟⣾⣽⣻⣽⣯⢿⡽⣾⣽⣟⣾⣽⣾⣿⣿⡿⠃⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⣌⢷⡀⢻⣇⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣷⣯⣿⣽⣷⣿⣯⣿⣻⣿⣿⣿⣿⣷⣶⣤⣤⣤⣤⣴⣾⣿⣿⣻⣞⣷⣻⣞⣷⡿⣞⣷⣻⣟⣾⣯⣿⣻⣾⣿⣾⣿⣿⣾⣿⣿⣿⣛⠛⠉⠁⠀⣲⡟⢀⣤⢽⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣎⢻⣮⣿⡀⠀⠀⠉⠙⠛⠿⠿⣿⣿⣿⣿⣻⣿⡿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠻⠿⠿⠿⠿⢿⠿⣿⢿⡿⣿⢿⣿⣾⣷⢿⡾⢿⠿⠿⠿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣻⣿⣿⣿⡿⠋⠀⠀⠀⢸⡿⢀⣾⢏⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣷⣿⡯⠁⠀⠀⠀⠀⠀⠀⠀⠈⢿⣟⡉⠛⠛⢿⠿⠿⠷⢿⣿⣽⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢾⡿⢿⠿⠿⠿⢿⣿⠿⠿⠿⣿⠛⠉⠉⠀⠀⠀⠀⠀⠀⠿⣿⡿⢣⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣟⡶⠦⢾⣷⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣯⣤⡴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⡿⠟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣝⠛⢳⣾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡷⠶⢾⡃⠀⠀⠀⠀⠀⠀⠀⢀⣐⠊⣁⣤⣤⠶⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
🦈🐋🌊*ੈ✩‧₊˚✩°。⋆⸜ 🎧✮🐙⚓🐋🥽⭒sharks, waves, whales, stars
🟨🟨🟨🟨🟨 🟨🧿🟨🧿🟨 👋🟨👅🟨👍 🟫🟥🟥🟥🟫 🟫🟫🟥🟥🟫 🟫⬛🟥⬛🟫 🦶 🦶
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🟪🟪⬜🟪🟪⬜⬜⬜⬜⬜⬛⬛⬛🟨🟧🟧🟧🟧🟧⬛⬜ 🟪⬜⬜🟪⬜🟪⬜⬜⬜⬛🟨🟨🟨🟧🟧🟧🟧🟧🟧🟧⬛ 🟪🟪⬜🟪🟪⬜⬜⬛⬛🌫️🌫️🌫️🟨🟨🟨🟧🟧🟧🟧⬛⬜ 🟪⬜⬜🟪⬜🟪⬛🟨🟫🟫🟫🟫🌫️🌫️🌫️🌫️🟨🟨🟨⬛⬜ ⬜⬜⬜⬜⬜⬛🟨🟫🟫🟫🟫🟫🟫🟫🟫🟫🌫️🟨🟨🟨⬛ 🟪⬜🟪⬜⬛🟨🟫🟫🟫🟫🟫🟫🟫🟨🟫🟫🟫🟨🟨🟨🟨 ⬜🟪⬜⬜⬛🟨🟫🟫🟨🟫🟫🟫🟫🟧🟧🟫🟫🟨🟨🟨🟨 ⬜🟪⬜⬜⬛🟨🟫🟧🟧🟫🟫🟫🟫⬛⬛⬛⬛🟫🟨🟨🟨 ⬜🟪⬜⬜⬛🟫⬛⬛⬛🟫🟫🟫🟨🟨🟧🟧🟥⬛🟨🟨🟨 ⬜⬜⬜⬜⬛⬛🟧🟧🟨🟫🟫🟫⬛🌫️🟧🟫⬛🟥⬛🟨🟨 ⬜⬜⬜⬛🟥🟥⬛🌫️🟥🟫🟫🟫⬛⬜🟥🟥⬛🟫🟥🟥⬛ ⬜⬜⬛🟫🟫🟫⬛⬜🟧⬛⬛🟫⬛⬜🟨🟨⬛⬛🌫️🌫️🟨 ⬛⬛🟧🟫🟫⬛⬛⬛⬛🟫🟫⬛⬛⬛⬛⬛⬛⬛🟫🌫️🟨 ⬜🟥🟥🟧🟫⬛🟫🟫🟫🟫🟫🟫🟫⬛🟫🟫🟫🟫⬛🌫️🟨 ⬜⬜🌫️⬜🌫️🌫️⬛🟫🟫⬛⬛⬛⬛🟫🟫🟫🟫⬛🌫️⬛⬛ ⬜⬜⬜⬜⬜⬜⬜⬛🟫⬜🟫🟫⬜🟫🟫⬛⬛⬛🌫️🟪🟪 ⬜⬜🟪⬜🟪⬜🟪🟪⬛⬛⬛⬛⬛⬛⬛⬛⬜⬛🌫️🟪🟪 ⬜⬜⬜🟪⬜⬜🟪⬜⬜⬜⬜⬛⬜⬛🟫⬛⬜⬜⬛⬛⬛ ⬜⬜⬜🟪⬜⬜🟪🟪⬜⬜⬛🟫⬛⬛🟨⬛⬛⬛⬛⬜🟪 ⬜⬜⬜🟪⬜⬜🟪⬜⬜⬜⬛⬛🟨🟨🟨🟨⬛🟫🟫⬛⬛ ⬜⬜⬜🟪⬜⬜🟪🟪⬜⬜⬛🟧🟧🟧🟧🟧🟧⬛🟫⬛🟪
▔▔▔▔▔╲ ▕╮╭┻┻╮╭┻┻╮╭▕╮╲ ▕╯┃╭╮┃┃╭╮┃╰▕╯╭▏ ▕╭┻┻┻┛┗┻┻┛ ▕ ╰▏ ▕╰━━━┓┈┈┈╭╮▕╭╮▏ ▕╭╮╰┳┳┳┳╯╰╯▕╰╯▏ ▕╰╯┈┗┛┗┛┈╭╮▕╮┈▏
⠀⠀⠀⠀⠀⠀⣀⣴⠶⠶⢶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡾⠃⠀⠀⠀⠀⠀⠈⠙⠳⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡦⢿⣿⣿⣧⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠀⠀⠀⣀⠀⠀⠀⣠⣤⣶⣦⣤⣄⡀⣴⡟⠁⠀⠀⠈⠙⢿⣍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠀⠀⣀⠻⣷⣤⣼⡟⠉⠀⠀⠈⠙⢿⣿⠀⢰⣿⣿⣷⣄⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠀⠀⢻⣿⣿⣿⡟⠀⠀⣤⣶⣶⣄⠀⢻⣇⢸⣿⣿⣿⣿⡄⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠀⠀⠛⠛⠛⢿⠀⠀⠀⣿⣿⣿⣿⣧⠀⢿⡌⣿⣿⣿⣿⡇⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⢸⣇⠀⠀⠹⣿⣿⣿⣿⠀⢸⣧⠈⠻⠿⠛⠀⣸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠈⢿⣄⠀⠀⠹⣿⣿⡿⠀⣸⡿⠷⣶⣤⣤⡾⠟⠙⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠈⠻⢷⣤⣀⣀⣀⣠⣶⠟⠁⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⣠⣤⡶⠿⠗⠲⢶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠿⠋⠁⠀⠀⠀⠀⠀⠹⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⡀⠀⠀⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀ ⠀⣿⣷⡀⣰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣇⠀⠀⠀⠀⠀⠀ ⢸⡇⠹⣷⣿⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡟⢿⣶⣶⣶⣤⣄⡀ ⣿⠁⠀⢸⡇⠀⠀⠀⠀⠀⢀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡶⣦⣀⣾⠏⠀⣼⠁⠀⠀⠀⠈⢿ ⣿⠀⠀⢸⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⢠⣿⣿⣇⠀⠀⣿⠀⠀⠀⠀⢀⣾ ⣿⡀⠀⠸⣧⠀⠀⠀⢀⡾⠷⣦⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣷⣿⣿⣿⣿⡆⢠⡟⠀⠀⢀⣠⡿⠃ ⠸⣇⠀⠀⠈⠻⠶⠞⠛⠁⠀⠀⠈⠉⠉⠛⠛⠓⠲⠶⠶⠦⠤⠤⠴⠶⢿⣿⣿⣿⣿⣿⣿⡿⠃⣼⠃⣀⣴⡿⠋⠀⠀ ⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠟⢁⣼⠏⠉⠉⠀⠀⠀⠀⠀ ⠀⠀⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡶⠷⠒⠶⢦⣄⡀⠀⠀⠈⠻⡿⠟⠁⢀⣴⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠻⣦⣄⡀⠀⠀⠀⠀⠀⣠⡿⠋⠀⠀⠀⠀⠀⠀⠉⠛⢷⣄⠀⠀⢀⣠⣶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠛⠷⣦⣤⣀⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⣾⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢷⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⢶⣤⣀⡀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠳⠶⠦⢤⣶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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