Let's Fuck Emojis & Text

Copy & Paste Let's Fuck Emojis & Symbols ⢠⠒⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢸⠀⠀⣀⣀⣀⣀⢀⣼⠉⢹⣄⡀⢀⣀⣀⣀⡀

⢠⠒⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⢸⠀⠀⣀⣀⣀⣀⢀⣼⠉⢹⣄⡀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⢸⢠⠏⢀⣤⣄⠈⢿⣄⠀⢠⣤⣿⠉⢠⣤⣤⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⢸⢸⠀⢠⣭⣭⣤⣼⣿⠀⢸⡆⠘⢦⣀⠈⠑⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⢸⣸⣆⡈⠛⠛⢋⡿⠹⡄⠈⠛⣿⡉⠛⠋⣀⣿⡀⠀⠀⠀⢀⣀⣀⣀⡀⠀ ⠈⡏⠁⢠⠤⠏⠉⠉⠉⠀⠀⠉⠉⠉⠉⠉⠛⢻⡇⠀⡇⠀⠀⠀⣏⣀⣀⡀⠙⢦ ⢮⠁⠀⠈⢹⣿⠉⢳⠀⡞⠉⣧⣠⠞⠉⠉⠙⣾⡇⠀⣧⠞⢉⡽⠀⢀⣠⠇⠀⡼ ⠀⢹⠀⢸⠉⣿⠀⢸⠀⡇⠀⣿⡇⠀⣾⠉⠙⢻⡇⠀⠁⠠⡏⠀⠀⢸⠀⣴⠚⠁ ⠀⢸⠀⢸⠀⢿⠀⠘⠶⠃⠀⡿⣧⠀⠙⠦⠖⣾⡇⠀⣷⡀⠘⢆⠀⢸⠛⢿⠀⠀ ⠀⠘⠒⠚⠀⠈⠓⠒⠒⠚⠒⠛⠈⠓⠒⠒⠒⠛⠓⠒⠃⠙⠒⠚⠀⠘⠒⠚⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣿⣶⣶⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠘⢿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠈⠻⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣀⣤⣶⣶⣌⠻⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⠁⣰⣿⣿⣿⣿⣿⣦⡙⢿⣿⣿⣿⠄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣦⣙⣛⣋⣼⣿⣿⣶⣿⣿⣿⣿⣿⣿⣯⡉⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⢻⣿⣿⣿⣿⣿⡇⠀⠀⠈⠉⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣴⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⡇⠀⠸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⢿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣶⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣧⣄⣀⣀⣀⣀⣀⣀⡀ ⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠁⠛⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁
⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠚⣁⡀⠀⢀⡤⢴⣒⣭⣵⡶⣶⢷⡶⣾⡶⠆⠀⠄⠁⠡⠁⠁⠄⣠⣀⣄⠠⠉⠉⡉⠝⢦⡑⠆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣠⠴⠋⢡⡶⢋⣩⣩⡶⣳⡿⢻⣙⣎⣶⣩⣜⣻⣿⢟⡟⠀⠡⠈⠄⠡⢈⠐⡈⣹⣿⢿⡡⣃⠌⡄⢡⠀⠌⢂⠀⠀⠀⠀⠀ ⠀⠈⠀⠔⠋⠀⣠⢞⡵⠞⣫⢟⡵⣚⣧⠝⡋⢉⡶⠶⠾⢛⣛⠵⠋⢀⠈⠄⡁⠈⠀⠄⠠⡐⢭⣿⣣⡟⣬⣓⡌⢆⡈⠤⡀⢀⠉⠠⢀⠀ ⠀⠀⠀⠀⠀⣰⣿⣿⡰⢿⣷⣋⣶⣿⠵⠒⢲⣵⣻⢀⠀⣄⠠⣀⡐⣀⠈⣄⣠⢆⡵⣼⣣⠽⡶⣭⡿⣼⣣⢟⣼⢣⡜⢢⢁⠢⢀⠁⢂⠱ ⠀⠀⠀⠀⠀⣷⠏⣿⡾⠋⣹⡿⠁⣯⣥⣴⡿⢥⣛⣮⣽⣾⣷⣷⣽⣞⡿⡼⢭⠻⣜⣣⣭⣷⢿⡟⠛⠉⠙⢾⣽⣣⣏⠷⣌⢢⠡⢈⠄⠀ ⠀⠀⠀⠀⠀⢹⣀⣿⠀⢀⣿⠁⠀⢹⣿⢷⣾⣷⡿⠉⠀⠀⣉⣹⠿⠿⠿⣿⣿⡿⢏⡉⢁⠸⣇⣷⠀⠀⠀⠀⢷⡹⣾⢹⡎⣶⢱⠈⢰⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⠀⣼⡿⠀⣰⠟⠁⣠⠖⠉⠀⢀⣴⠟⠋⡀⠀⠀⠀⢸⣿⡚⡴⣈⣅⢊⣽⣾⡆⠀⠀⠀⠀⠹⣧⢻⡞⡵⣎⡍⢆⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠿⢥⡼⠁⢀⡴⠁⠀⢀⣴⠟⠁⣠⠞⠁⢀⠜⢡⠏⣿⣿⠉⠉⣏⠉⠸⣿⣷⠀⠀⠀⠀⠀⠹⡕⣯⢳⣝⡞⢦⡐ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡐⡾⣱⢠⡞⠀⠀⣠⡿⠁⢀⡴⠁⠀⡴⠃⢠⠏⣰⠇⢸⣆⠀⢹⣸⠀⠹⣿⠀⠀⠀⠀⠀⠀⠹⣌⠷⣺⡝⣧⣙ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣼⣳⣧⡏⠀⠀⣰⡟⢀⣴⠏⠀⢠⠎⠀⣠⡏⢰⡟⠀⠀⢿⡄⠀⣿⡇⠀⢻⡄⠀⠀⠀⠀⠀⠀⠘⣎⡕⣻⢼⣣ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⣿⠱⢤⠀⡰⡏⢠⣾⠋⠀⡰⠃⢀⡴⡿⢠⡿⠁⠀⠀⠈⣿⣆⠸⣷⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠈⢆⢣⢛⡼ ⠀⠀⠀⠀⠀⠀⠀⠀⣻⣾⣇⠻⣤⠫⡔⣡⣿⡿⠀⡼⡱⢠⡞⢰⠇⣾⠃⠀⠀⠀⠀⠙⣝⢧⣿⡇⠀⢿⡣⡀⠀⠀⠀⠀⠀⠀⠈⠣⣊⠜ ⠀⠀⠀⠀⠀⠀⢰⣋⣯⣿⢬⠳⣌⡳⢭⣿⣿⠃⠐⣰⣿⢯⠃⣼⣸⠏⠀⠀⠀⠀⠀⠀⠈⠳⣹⣿⠍⣽⣿⢳⠀⠀⠀⠀⠀⠀⠀⠀⠙⢮ ⠀⠀⠀⠀⠀⠀⣿⣿⢻⡗⢮⡙⢦⡙⢾⡟⡍⠀⢰⣿⠳⠁⠀⣿⣿⣄⣀⣀⣀⣀⣤⣤⣶⣶⡤⣼⡏⣼⡜⣺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣾⣿⡘⢣⣼⣷⣿⣿⣿⣷⣶⣿⣷⠟⠋⠀⣿⠀⠈⠛⣻⣿⠿⣿⠙⠛⢟⣿⣿⡧⣽⣷⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡇⠌⡡⠘⢻⣟⣟⠀⢿⣯⣿⠷⣆⠀⢰⡇⠀⠀⢰⣏⣻⣿⡿⠥⠴⢿⣵⡾⣿⢸⣷⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠁⠆⢿⣷⣀⣸⡿⢉⣹⡿⣷⣾⣆⣶⣷⡿⠉⠁⠀⠀⠀⠀⠀⠈⣿⣿⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⡄⣼⠀⠈⠀⢸⡁⠈⣽⠋⠉⠀⠀⠀⢿⡟⠯⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⢸⠁⠀⠀⡀⠠⠐⠐⠈⠁⠀⠠⠀ ⠀⠀⠀⠀⠠⢀⠀⠈⣇⣿⡄⠀⠀⣾⠀⢰⡏⠀⠀⠀⠀⢀⡿⠁⠀⠀⠻⣦⡀⠀⠀⠀⠀⢀⣴⠟⡷⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠄⡀⢒⣼⣿⣧⠀⠀⣿⣦⣼⣁⣀⣀⣠⠴⢛⠀⠀⠀⠀⢀⡰⠉⠛⠛⠚⠛⢫⣷⣾⣣⠧⠤⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠔⠉⠀⠣⣿⡀⠀⣻⠱⣿⠉⠀⠁⠀⠀⠈⠒⠶⡤⠶⠋⠀⠀⠀⠀⠀⡰⠋⠃⣼⡿⢀⠀⠀⠈⠙⢦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⢸⣧⠀⢹⡄⣯⢓⢤⡀⢠⣤⢤⣤⣤⣔⣲⠾⢿⣿⠛⣷⡞⠁⢀⣰⡿⠋⠀⠀⠀⠀⠀⠀⠑⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⢿⡆⠘⣇⡟⢳⠔⣵⣞⠏⠞⠆⠀⡇⣹⠀⢸⣿⠀⣿⣄⡶⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀ ⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⢿⣇⠈⠳⡏⣏⢷⡸⠀⠀⡇⣯⠀⠞⠹⣀⣿⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀ ⣷⣄⠀⢼⠀⠀⠀⠀⢇⠀⠀⠀⠈⢿⣜⣿⠀⠀⠉⡟⢧⡹⡄⠀⡇⣽⣈⡇⠱⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢸⠀⠀⠀⠀ ⡳⣏⡿⣯⡀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠳⣽⡄⠀⢸⠇⠘⣹⣞⣆⣷⡿⠀⠳⠀⣆⣿⠀⠀⠀⠀⠀⠀⠀⢀⣰⠁⠀⠀⠀⠀⡞⠀⠀⠀⠁ ⠳⡹⡞⣽⢻⡶⣄⠀⠀⣽⠀⠀⠀⠀⠀⠘⠳⡀⣺⠇⡈⣼⣟⠿⡧⣇⠀⠠⢁⢸⡿⠀⠀⠀⠀⠀⠀⠀⣰⡇⠀⠀⠀⠀⠀⣧⡀⠀⠀⠀ ⠰⢇⡹⡎⣷⢹⣏⣷⡸⡏⠀⠀⠀⠀⠀⠀⠀⠈⣹⠎⣸⣇⡿⢸⡷⡏⠀⠁⡎⢶⡇⠀⠀⠀⠀⠀⠀⠀⢹⠇⠀⠀⠀⠀⢀⠇⡇⠀⠀⠀ ⠀⠘⠴⡙⣬⢳⣎⢷⡿⣧⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢫⣞⡁⢰⣟⡇⢀⠳⣸⢸⡇⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⢠⠋⠀⣧⣠⣴⢾ ⢸⡟⣷⣛⣧⣟⡬⢷⡹⣝⢿⣦⡀⠀⠀⠀⠀⠀⢻⣿⡟⢤⠓⣾⢏⡟⣌⠳⢤⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⢀⣔⣡⣴⣾⢻⡽⣙⢮ ⢸⠻⢷⣭⣾⠼⡇⣣⢝⡞⣧⢟⡿⣦⡀⠀⠀⠀⣿⠯⡜⣡⢏⡼⢭⡗⢬⠓⠦⣿⠀⠀⠀⠀⠀⠀⠀⠀⢄⣸⣴⣿⡟⣭⢗⢮⠳⡜⡱⢊ ⢸⣤⣽⡤⣤⢴⡇⡘⢎⢞⡱⢯⡽⣳⢿⣄⠆⠀⢹⣗⡼⣡⢞⣜⣣⡛⣬⡙⢶⣹⡀⠀⠀⠀⠀⢀⣠⣶⢿⣛⣧⢷⡹⢞⡺⢌⠓⡌⢁⠂ ⢸⣷⣫⡽⣞⢯⡇⠰⡉⢎⡹⢣⡟⣵⢫⣾⣦⣤⣾⣧⢯⣝⡻⣚⢧⡻⢵⣫⢗⣻⣇⣀⣀⣦⣶⣿⣯⢽⡺⡵⣎⢧⠛⡆⠱⠈⡐⠀⠂⠀
⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣴⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⣿⣿⣿⡿⣿⣿⣆⠀⠀⠀⠀⠀⠀⣠⣴⣶⣤⡀⠀ ⠀⠀⠀⢰⣿⣿⣿⣿⠃⠈⢻⣿⣦⠀⠀⠀⠀⣸⣿⣿⣿⣿⣷⠀ ⠀⠀⠀⠘⣿⣿⣿⡏⣴⣿⣷⣝⢿⣷⢀⠀⢀⣿⣿⣿⣿⡿⠋⠀ ⠀⠀⠀⠀⢿⣿⣿⡇⢻⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣿⣇⢸⣿⣿⡟⠙⠛⠻⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⣴⣿⣿⣿⣿⣿⣿⣿⣠⣿⣿⡇⠀⠀⠀⠉⠛⣽⣿⣇⣀⣀⣀⠀ ⠙⠻⠿⠿⠿⠿⠿⠟⠿⠿⠿⠇⠀⠀⠀⠀⠀⠻⠿⠿⠛⠛⠛⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⢀⣠⣤⣤⡸⣿⣿⣿⣿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢣⣴⣿⣿⣿⣿⣷⠈⠙⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣯⢿⣿⣿⡿⢿⣿⣇⠀⠀⠀⠀⣀⣀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡏⣿⣿⣿⣞⣋⣁⣀⣿⣿⣿⣦⡀⠀⣾⣿⣿⣿⡆ ⠀⣀⣀⣀⣀⣀⣀⣴⣾⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⣿⣿⣿⣿⡏ ⠐⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠻⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⣿⣿⣿⠿⠿⠛⠀ ⠀⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠈⢻⣿⣿⣷⣶⣦⣀⠀⠀⠀⠀⣼⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⣿⣿⣿⣿⣿⣿⣿⣶⣶⣾⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⠿⠛⠋⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣧⣤⣴⣿⣿⣦⣄⡀ ⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⠿⠟⠛⠉⠉⠉⠀ ⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⣠⣶⡟⣥⡤⠤⠤⠤⠤⣀⣀⠈⠉⠳⠦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⠋⣁⣷⠞⠉⠀⠀⠀⠀⠀⠀⠉⠳⢤⡀⠐⠈⠛⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⣟⣷⣿⡿⣾⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠰⣬⡓⢄⡀⠀⠨⠷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣼⣽⣿⣿⣿⣴⠟⠀⣤⣤⣀⠀⠀⠀⠀⠀⠙⠂⠀⠙⢦⡘⢦⡀⠀⠈⠻⣿⢷⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡼⠋⠉⠀⠀⠀⣿⠀⣼⣿⣾⡿⠛⠳⢄⡀⠀⠀⢦⡀⠀⠀⠻⣶⣿⣧⣀⢠⣘⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡇⠀⠀⢰⣦⣤⣄⣀⣻⣿⠿⠖⠒⠒⠒⠿⢷⣄⡈⠳⣄⠀⠀⠘⢧⡙⢿⡀⣿⣾⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡇⠀⠀⠈⢿⣿⣿⣿⠛⠁⠀⠀⠀⣀⣀⣀⣀⣈⣻⣷⣜⣷⣦⡀⠘⣧⡗⣿⡸⣟⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡇⠀⠀⠀⠈⣯⠀⡟⠀⠀⣀⠀⠀⠉⠹⠍⠉⡁⣀⣤⣟⣿⣿⣿⣦⣸⡅⣿⣿⣿⣦⣙⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⡀⠀⠀⠀⠈⣧⡇⠀⠀⣿⡀⠀⠀⠀⠀⢈⡿⣿⣿⡿⠋⠻⣿⢿⣿⣿⣿⣿⡿⠻⡏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢿⣧⡀⠀⠀⠀⠈⣷⠀⣸⠃⡁⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠈⠈⢿⣿⡟⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣾⣿⣄⠀⢦⡀⠘⣷⣣⣴⢶⣳⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⢿⡟⠃⠐⠊⠉⠉⠉⠑⠒⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢻⠙⣾⡀⠈⠙⢦⡉⠿⣌⠛⠉⠀⠀⠀⠀⠀⣀⠀⢀⣠⡄⠀⠀⡾⣿⠈⠓⠀⠀⠀⠀⢀⡄⠀⠀⠀⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⠃⠈⠳⣄⠀⠀⠙⢦⣙⣦⡀⠀⠀⠀⠀⢙⣡⡴⣿⣽⡇⢀⣼⠃⡿⠀⠀⠀⠀⠀⢀⠞⠁⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠳⣤⡀⠀⠉⢻⣿⣤⣀⠀⠀⠘⠻⠗⠚⠃⣠⣾⡏⠀⠀⠀⠀⠀⣀⡴⠋⠀⠀⠀⠀⢰⡀⠀⠀⢱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⢤⣄⠙⣿⡙⠛⠛⠒⠲⠖⠒⢛⡽⠋⠀⠀⠀⠀⣠⣾⡿⠁⠀⠀⠀⠀⠀⢸⣷⡄⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠤⠀⠀⠠⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠋⠛⠻⠿⣄⡰⠶⠶⠶⠾⠋⠁⠀⠀⠀⠀⣴⢫⠟⠀⠀⠀⠀⠀⠀⠀⠈⣧⣷⡀⠀⢱⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⠀⠀⠀⠀⠀⠠⠤⠤⠄⠀⠤⠶⠖⠦⠄⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣇⠀⢸⡆⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡏⠁⠀⠀⠀⡀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⠸⡇⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠀⠀⠀⠀⢠⣤⡄⠀⠀⣷⠀⢳⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠘⢿⣦⣄⡄⠀⠀⠀⠀⠀⠀⠀⠀⠦⡀⠀⠀⠘⣿⣦⡀⠀⠀⠘⠛⠋⢀⣼⣿⡀⠈⢧⠀⢠⡟⠀⠀⠀⠀⢰⠟⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠈⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠙⢧⣙⠻⠟⠒⠾⢟⣻⢿⡀⢧⡀⠈⠇⣸⠀⠀⠀⠀⠀⠀⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠹⣇⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠉⠹⠶⠖⠚⠋⠁⠸⡇⠀⢣⡀⢠⡟⠀⠀⠀⠀⠶⢿⡀⠀⠈⠳⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠹⣄⠀⠁⠸⢿⡆⠀⠀⠀⣠⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣇⣀⣈⡳⣼⠁⠀⠀⠀⠀⠀⠀⠻⣄⠀⠀⠈⠳⢄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠘⠁⣰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⡇⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠑⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠈⠙⠻⣷⡛⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣆⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠙⠳⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠢⡀⠀⠀⠀⠀⠀⠀⠈⠙⢷⣄⠀⠀⠀⠀⠀⠀⣴⡏⠀⠀⠀⠀⠀⠘⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣄⡀⠀⠀⠀⠀⠀⠀⠹⣝⠶⠀⠀⠀⠛⠉⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡔⣆⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣼⣆⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⠤⠤⠔⠒⠒⠒⠠⠤⠼⣿⢧⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠶⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⢻⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣮⡳⣄⠀⠀⠀⠀⠻⡮⣷⣄⠀⠀⠀⠀⠀⠀⠀⠘⢧⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⢀⣀⣀⣀⡀ ⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣬⠳⣄⠀⠀⠀⠳⡌⠻⣦⡀⠀⠀⠀⠀⠀⢀⡘⠦⠀⠀⣀⣠⣶⣛⣁⠀⠈⠉⣭⡉⠁⠀ ⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⠦⠤⣤⠀⢀⡀⠀⢀⣀⣠⣤⡴⠶⠒⠂⠀⠈⢳⡝⣦⠀⠀⠀⠹⣄⠈⣹⠶⣄⡀⢠⣶⣾⠯⣴⣷⡟⠉⠀⠙⣿⠛⠛⠛⠻⢛⢻⠀⠀ ⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣷⣶⣾⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠙⣮⣦⠀⠀⠀⠘⢳⣍⣘⢷⣄⣸⣿⣯⣧⣬⣿⣦⣀⣀⣠⣿⠛⠛⠃⠾⠀⢸⡇⠀ ⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⣢⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣀⠀⠀⠀⠀⠙⡎⢷⡀⠀⠀⠀⠘⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡤⠀⠀⠀⣿⣆ ⠀⠀⠀⢧⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⠉⠛⠶⣤⡀⣴⡇⢘⡇⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿ ⠀⠀⠀⠸⢧⡐⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡤⣀⣼⣿⣟⡆⡼⠃⠀⠀⣀⣀⣀⣀⣀⣈⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠙⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠋⠜⠁⢀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫ ⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠦⠴⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣻⣿⣿⣿ ⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣾⣿⣿⣿⣿⣿ ⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠚⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠉⠻⢿⣿⣿⣿⣿⣿⣿⣾⡷⠀⠻⣏⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⣴⣾⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣉⣩⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣼⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣾⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣾⣿⣿⠉⣿⣿⣿⣿⣿⡄⠀⢀⣠⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⣿⣿⣧⣿⣿⣿⣿⣿⡇⢠⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣷⠸⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠿⢿⣿⣿⣿⣿⡄⠙⠻⠿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡟⣩⣝⢿⠀⠀⣠⣶⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣷⡝⣿⣦⣠⣾⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣮⢻⣿⠟⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠻⠿⠻⣿⣿⣿⣿⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⠇⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⡿⠀⠀⠀⢀⣴⣿⣿⣿⣿⣟⣋⣁⣀⣀⠀ ⠀⠀⠀⠀⠀⠀⠹⣿⣿⠇⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇
N   O     O      o      o       o      o      。     。    .    .     .     .
⠀ ⠀ (\__/) (•ㅅ•) Don’t talk to _ノヽ ノ\_ me or my son `/ `/ ⌒Y⌒ Y ヽ ever again. (  (三ヽ人  /  | | ノ⌒\  ̄ ̄ヽ ノ ヽ___>、__/ |( 王 ノ〈 (\__/) /ミ`ー―彡\ (•ㅅ•) / ╰ ╯ \ / \>
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⠤⠶⠶⠶⠤⠤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⠚⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡼⢣⡶⠀⠀⠀⠀⠀⣠⠖⠉⣀⡴⠶⠊⢷⡆⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣼⠃⡼⠁⠀⠀⠀⣠⠞⣡⡴⠋⠁⠀⠀⠀⠘⣿⣧⡀⠀⠀⠀⣇⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣼⡏⢠⡇⠀⠀⠀⣼⣣⠞⠃⠀⠀⠀⣀⣠⣤⣄⣿⡇⢧⡀⠀⠀⢻⣄⡀⠀⡗⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⡇⢸⡇⠀⢠⣼⣿⣏⡀⠀⠀⢠⢾⠛⠉⠁⢀⣿⡉⠛⣷⣄⠀⢸⣿⠻⣶⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⡇⠀⣇⡴⢿⣿⡉⠉⠉⠁⠀⠀⠀⣀⣶⠾⢿⡛⠟⢶⣼⡇⠀⢸⢻⡀⣹⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣧⠀⢸⡆⣿⣛⠩⣿⣷⠀⠀⠀⠀⠙⠉⣷⢾⣿⡇⠾⠀⢻⠀⢸⠇⣽⠛⢹⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⡄⠀⠻⣏⠛⠳⡿⢿⡞⠀⠀⠀⠀⠀⠾⠿⠿⠇⠆⠀⠀⣆⣼⣱⡇⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢳⠀⠀⠙⡄⠀⠙⠉⢹⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡿⠁⢿⡀⠀⢸⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢧⠀⠀⢻⡄⠀⠀⠈⡷⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⢰⠘⡇⠀⠈⢿⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢷⡀⠘⡟⠦⣀⠀⠀⠒⠒⠋⠉⠁⠀⠀⢀⣠⠆⠀⣹⠀⣈⡇⢹⡄⠀⠸⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠱⣄⣷⠀⢹⡳⣄⡀⠀⠀⠀⠀⣀⡴⠚⠁⠀⠀⣿⠀⣟⢿⠈⡇⠀⠀⣹⣻⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⠻⣧⣿⠇⢰⡍⠳⠤⣴⠛⠁⠀⠀⠀⠀⢰⣿⠀⡿⢸⠀⢸⡀⢀⣿⡇⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠇⢀⡼⠋⢀⣮⡇⣀⠴⡟⠀⠀⠀⠀⠀⠀⣿⠃⠻⣅⣼⠀⢸⡇⢸⣹⠀⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠏⢀⡞⢀⣀⡸⠟⠋⠁⠘⠁⠀⠀⠀⠀⠀⠀⣿⠀⠀⠉⠳⢄⣸⣧⣧⣟⡼⠉⠀⠀⠀ ⠀⠀⠀⠀⢀⡤⠿⠤⠚⢲⣟⣁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⡀⠀⢀⣀⠙⠛⠿⢾⣄⠀⠀⠀⠀ ⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠓⠀⠴⠒⠒⠚⠒⠛⠛⣿⡉⠉⠉⠀⠀⠀⠀⠀⠀⠙⢢⡀⠀ ⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣄ ⠀⢸⢹⠀⠀⠀⢀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⠀⠀⢸⠀⠀⢀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡄⠀⠀⠀⠀⠀⠀⠀⣼⠛ ⠀⠀⠸⣇⣰⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⢀⡏⠀ ⠀⠀⣰⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠀⠀⠀⠀⠀⠀⣼⠀⠀ ⠀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⣰⠃⠀⠀ ⣼⢃⣴⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⢳⠀⠀⠀⢠⠏⠀⠀⠀ ⣿⠈⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣶⠀⠀⢸⠀⠀⠀⣾⠀⠀⠀⠀ ⢹⡆⠀⠀⠐⠊⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠉⠈⠀⠀⡼⠀⠀⢰⡇⠀⠀⠀⠀ ⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⣸⠃⠀⠀⣼⠀⠀⠀⠀⠀ ⠀⠀⠈⠳⢤⣀⣀⣀⣀⣀⡴⠖⠋⠀⠀⠀⠀⠙⠦⣀⠀⠀⠀⠀⠀⠀⢀⣠⠾⠁⠀⠀⢰⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣇⢻⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠒⠒⠒⠋⠉⣿⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢽⣼⠀⠀⠄⠀⠀⠀⠀⠀⠀⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⡿⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⣿⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⢹⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⢼⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡼⣇⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣧⣿⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣹⠃⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣄⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀⣽⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠈⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⣀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣤⣄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣶⣦⡀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀ ⠀⠀⠀⣰⣾⣿⣿⣿⣷⣆⠀⠀⢀⣿⣿⣿⣷⡀⠀⢸⣿⣿⣇⣀⣽⣿⣿⡇⠀⠀ ⠀⠀⢸⣿⣿⡿⠛⣿⣿⣿⠆⠀⣸⣿⡟⠻⣿⣷⡀⠘⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀ ⠀⠀⢸⣿⣿⣇⠀⠀⠉⠁⠀⠀⣿⣿⣷⣶⣿⣿⣷⡀⢿⣿⣿⡟⠉⠀⠀⠀⠀⠀ ⠀⠀⠸⣿⣿⣿⠀⠀⣤⣦⣄⢸⣿⣿⣿⣿⣿⣿⣿⣷⣸⣿⣿⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⣿⣿⣷⣾⣿⣿⡿⣿⣿⣿⠇⠀⠀⠻⢿⠿⠁⠛⢟⣃⣀⡀⣀⣀⠀⡀ ⠀⠀⠀⠈⠻⢿⣿⣿⠿⠟⠁⣈⣉⣭⣤⣤⣶⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⣀⣀⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠿⠿⠛ ⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠛⠋⠉⠉⠀⠀⠀⠀⡀⡀⠀⠀⠀ ⠸⣿⣿⣿⣿⣿⠿⠟⠛⠋⠉⠁⠀⠀⣀⣀⣠⣤⣴⣶⣶⣾⣿⣿⣿⣿⣿⣷⠀⠀ ⠀⠈⠉⠉⠀⠀⠀⠀⣠⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⠋⠉⠉⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠻⠿⠟⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⠤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⠴⠚⠉⠁⠀⠀⠀⠀⠀⠈⠉⠳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡞⡥⠀⠀⠀⠀⣠⠴⢀⣠⠤⢦⡀⠀⠀⠀⠀⠀⠈⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡞⢸⠁⠀⠀⣠⢚⡥⠚⠉⠀⠀⠘⣗⡄⠀⠀⢰⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢾⠇⡎⠀⠀⣰⡳⠋⠀⠀⣠⣤⠶⠢⡿⣸⣆⠀⠈⣧⣄⢸⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⡄⢳⣠⣾⡟⠓⠆⠀⠘⠙⢀⣤⣶⢿⣤⣹⡅⠀⣿⠈⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠸⡇⣾⡛⣶⡦⠀⠀⠀⠛⢱⢼⣷⠸⠋⢣⠀⡇⣹⠛⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢱⠀⠹⣏⠉⢟⣻⣀⠀⠀⠀⠐⠛⠛⠐⠀⠘⣴⡽⣇⠀⢸⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢇⠀⠘⡄⠀⠀⢸⡁⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⢹⡀⠈⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢦⠀⢻⢦⡀⠈⠰⠶⠒⠂⠀⠀⢀⡤⠀⡇⢘⡆⢇⠀⠸⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠳⡼⡀⣟⡶⢄⡀⠀⢀⡠⠖⠁⠀⢀⡇⢸⢻⠸⡀⠀⣿⢇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠏⢳⠟⢀⠷⠈⣹⡇⠀⠀⠀⠀⣼⢣⡞⢸⠀⡇⢰⣼⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠎⣠⠋⢀⡼⠟⠊⠟⠀⠀⠀⠀⠀⣿⠀⠑⢯⣀⣇⣎⢏⡞⠀⠀⠀ ⠀⠀⠀⢀⡠⠾⠔⠓⢞⣁⣀⣀⠀⠀⠀⠀⠀⠀⠀⢻⣀⣀⣀⡈⠛⠿⠯⣀⠀⠀⠀ ⠀⠀⢠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠐⠉⠉⠉⠉⠉⣧⡀⠀⠀⠀⠀⠀⠀⠑⡄⠀ ⠀⠀⢻⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠧⠀⠀⠀⠀⠀⠀⠀⢹⡆ ⠀⠀⢸⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⡼⠃ ⠀⠀⠘⡤⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⢠⠇⠀ ⠀⣠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⡎⠀⠀ ⢠⠇⣠⡂⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠘⡄⠀⠀⡸⠀⠀⠀ ⢸⡀⠛⠄⢀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⢀⠵⠀⠀⡇⠀⢀⠇⠀⠀⠀ ⠀⢷⡀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠂⠀⠀⠀⣰⠁⠀⣾⠀⠀⠀⠀ ⠀⠀⠑⢤⣀⠀⠀⢀⣠⠴⠋⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⣀⡴⠁⠀⢠⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⢻⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠒⠒⠉⡽⠀⠀⠀⡼⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣾⠀⠐⠀⠀⠀⠀⠀⠑⢤⡀⠀⠀⠀⠀⠀⡇⠀⠀⢠⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⡄⠀⠀⢠⡀⠀⠀⠀⠀⠙⣄⠀⠀⠀⢰⠁⠀⠀⣼⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢿⣇⠀⠀⢸⠀⠀⠀⠀⠀⠀⠈⠁⠀⢀⡜⠀⠀⠀⡗⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⢸⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣿⡆⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠐⡇⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣻⠁⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠃⠀⠀⠸⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡼⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠏⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡀⠀⠀⠀⠀
⠀⠀⠀⢠⣾⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄⣀⣀⣤⣤⣶⣾⣿⣿⣿⡷ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀ ⣿⣿⣿⡇⠀⡾⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀ ⣿⣿⣿⣧⡀⠁⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⢹⠉⠙⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⠀⣀⣼⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠀⠤⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⠿⠋⢃⠈⠢⡁⠒⠄⡀⠈⠁⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠟⠁⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠈⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢠⡄⠀⠀⠀⡶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡏⠘⢾⣷⡤⡇⠀⠓⠤⡀⠀⠀⠀⠀⢀⠠⠤⠀⠀⠤⠀⡀⠀⠀⠀⠀⠀⠀ ⠑⢤⣎⡁⢀⣼⣶⣤⢀⣼⡶⠀⠀⡰⠁⢀⡀⠤⠤⢄⡀⠈⢢⠀⠀⠀⠀⠀ ⠴⣋⣇⠈⡥⣤⣩⡇⠈⠃⠇⠀⠸⠀⢀⠋⠀⢀⡠⠚⠀⠀⠀⡄⠀⠀⠀⠀ ⠀⡌⠈⢧⡉⠉⠐⠒⡧⢇⠎⠀⡆⠀⠈⠢⣀⠀⠀⠀⠀⠀⣠⠇⠀⠀⠀⠀ ⠀⢠⡀⡤⠀⢙⢄⣸⠔⠁⠀⠀⢃⠀⠀⠀⠀⠀⠉⠁⠚⠯⢀⠀⠀⠀⠀⠀ ⠀⠈⠀⠰⠤⠇⠀⠈⠉⠢⡀⠀⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⡆⠀⠞⣦⠀⠀⠀⠉⠐⠂⠤⣀⠀⠀⠀⠀⠀⡇⠀⠀ ⠀⠀⠀⠀⠀⡼⡄⠀⢸⠀⠀⠘⢆⡀⠀⠀⠀⣀⡀⠀⢱⠀⠀⠀⢠⠇⠀⠀ ⠀⠀⠀⠀⠀⠑⠳⠀⠈⡆⠀⠀⠀⢀⠝⠉⠀⠀⠀⠉⢇⠀⣀⣔⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢣⠀⢱⢀⡀⠀⡎⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠱⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⠀⠈⠇⠈⡝⠀⠀⠀⠀⠀⠀⢀⣦⡇⠀⠀⠀⢱⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢸⡜⠀⠀⠀⠀⠀⠀⠀⣾⠿⠇⠀⠀⠀⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠈⠃⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⢀⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢀⠀⠀⠀⠀⠀⣠⠞⡜⠀⠀⠀⠀⠠⠂⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⢀⠜⠱⡤⡇⠀⠀⠀⡔⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀⡰⠁⠀⠀⣇⠀⢀⣀⡜⠀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠟⠁⠀⢸⠁⠠⠀⡀⢻⠀⠀⠈⢆⠀⠉⢢⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠠⡎⠀⠀⠀⣌⠀⢀⠀⠣⠀⡇⠀⠀⠀⢳⠲⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⣠⡋⠐⠒⠃⠀⠉⢰⡀⠀⠀⠀⡆⠀⣀⣀⡀
⠁⠀⠂⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠂⠀⠁⡀⠐⠈⠀⠐⠈⠀⠐⠀⠐⠀⡀⠂⠀⠐⠀⠠⠐⠀⠀⠄⠀⠠⠀⠀⠄⠀⠀⠄⠀⠀⢸⡿⠀⠀⠀⠀⠀⡀⠀⢀⠀⠀⡀⠀⢀⠀⠀⡀⠀⢀⠀⠀⡀⠀⠀ ⠀⠁⠈⢀⠀⠄⠈⠀⠁⠈⠀⠁⠈⠀⠄⠀⢀⠈⠀⠠⠀⠀⠀⠂⠀⠀⣄⣠⣤⣤⠴⠶⢶⡶⠶⠬⠿⢤⣀⣀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀ ⠄⠈⢀⠀⠠⠀⠂⠁⢀⠈⠀⠄⠁⢀⠠⠀⠀⡀⠐⠀⢀⠈⢀⣤⠶⠛⠉⠁⣠⠀⠀⡠⠀⣤⢋⠁⠐⠠⡀⢈⠙⠒⢤⣀⠀⠂⠀⠀⠂⠀⠀⠂⠀⠀⠂⠀⠀⠄⠀⠀ ⠐⠀⡀⠠⠀⠠⠐⠀⠀⡀⠂⠀⠠⠀⠀⠠⠀⠀⡀⠄⣠⣴⡿⠋⠀⢀⣴⠞⠁⢀⠜⣠⠞⢡⠃⠀⢠⠀⠑⡄⠑⢄⠀⠈⠓⢤⡀⠀⠀⠀⠄⠀⠀⢀⠀⠀⠀⠀⠀⠀ ⡁⠀⠄⠀⠐⠀⡀⠄⠁⠀⡀⠄⠁⠀⠐⠀⡀⠁⣠⣾⡿⠟⠀⠀⣰⡿⠃⠀⠠⢁⡴⠁⢀⡇⢠⠃⢸⠀⠀⢸⡄⠀⢣⠈⠠⡀⠑⢆⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀ ⡀⠂⢀⠈⠀⠄⠀⠀⠄⠂⠀⢀⠠⠈⠀⡀⢀⡼⣿⠏⡁⣠⠃⣼⠟⡀⠀⠀⣿⡾⡅⠀⣼⠀⡼⠀⠈⡇⠀⢸⢣⠀⠀⠃⢠⠑⢤⡈⠳⡀⠀⠀⠁⣀⣠⣤⠤⠄⠒⠒ ⠄⠀⡀⠀⠂⢀⠈⠀⡀⠄⠂⠀⢀⠠⠀⢠⡿⣽⢫⠖⢰⠃⣸⣏⡞⠀⢀⣾⣿⠇⠀⡄⡇⢸⡇⠀⠀⢳⠀⢸⡼⡄⠀⠀⠀⡇⠀⠱⡀⢳⣀⡴⠛⠉⠀⠀⠀⠀⠀⠀ ⠄⠐⠀⠀⠂⠀⠠⠀⢀⠀⠀⠂⠀⠀⣴⡿⣻⠃⡞⢀⠃⢀⣏⡞⠀⠀⣾⣿⣿⣀⢰⠃⣇⠀⢧⠀⡃⠈⣇⢸⣷⡇⠀⠀⠀⢸⠀⠀⢱⣀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠂⠁⢀⠈⠀⠠⠀⠀⠂⠀⢁⣾⣿⣱⠏⢸⠇⠀⡤⢾⣿⠓⠛⢻⣿⠋⣟⠀⣸⠃⣷⠀⠘⢦⡇⠀⠸⣟⣿⡆⠀⠀⠀⠘⡆⠀⠀⣿⣳⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠁⠀⠄⠂⠀⠐⠀⠀⠁⡀⢨⣾⣿⢃⡿⢀⣹⡤⢁⠀⣿⣟⠀⠀⣿⡿⠀⣯⠀⣿⣷⠸⣇⢤⡈⢷⡀⠀⢸⢿⣷⠦⣀⠀⢈⡇⠀⠀⠸⡇⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠐⠈⠀⠀⠐⠀⠈⠀⠄⢠⣿⢣⡏⣼⣏⠀⢿⣷⠀⢢⣿⣯⡀⢸⢿⣇⠀⢹⡆⣿⣿⣤⡻⣦⣿⣦⣽⣶⣾⣈⣻⣤⠈⠙⢺⡇⠰⠀⠀⣷⢸⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠀⠂⠁⠀⢀⣿⠇⣾⡐⣿⣿⠈⢾⣿⡆⣹⣇⣹⣷⣾⣬⣿⡀⠈⣿⣯⢻⣿⣧⠉⢻⡟⣷⡄⢹⠀⢸⡇⠀⠀⣼⡇⠀⠀⠀⢹⠈⡟⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⠀⠠⠈⢸⡿⢸⣷⡚⣿⣿⡡⢘⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⡄⠈⠎⠢⢽⣿⣷⣄⡇⠈⣿⣿⣄⣀⣿⠀⢠⣿⠃⠀⡀⠀⣽⠀⣷⣿⡄⢠⠀⡄⡀⠆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⡧⣿⣿⡔⣿⣿⣇⠄⣿⡇⠈⢧⠈⢿⣿⣾⡶⠋⠁⠀⠀⠀⠀⠙⠙⠻⣷⣾⡿⣿⣿⣿⣿⣤⣿⡿⠠⠀⡄⢠⣿⠀⣿⣽⡇⠢⠑⠈⡜⢦ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠘⣿⣿⣿⢧⣿⣿⣿⣖⡸⣷⠀⠀⠑⠤⠭⠏⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣯⡍⠸⣿⣿⣧⠀⢨⣇⣾⣿⠀⣟⢸⡇⠀⠀⠀⡜⠸ ⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠘⣿⣿⡿⣿⣿⣿⣿⢿⣻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠒⢤⠀⠀⠀⠀⠤⣛⣛⣋⠀⠈⢁⣿⠇⡀⣾⣽⢿⡁⢠⡟⣼⡇⠀⢀⠒⡌⠱ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢨⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⠳⣄⡀⠀⠀⠀⠀⠀⠀⢧⢀⡠⠃⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡟⡰⣰⣿⡟⣾⢠⣾⣧⣿⠀⢀⠌⡓⣌⢣ ⠀⠀⠀⠀⣀⣤⡴⠶⢶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⢿⣟⣵⣿⡟⢧⣿⣿⣿⡿⠃⠀⡌⢎⡱⢌⡖ ⠀⢀⣴⠟⠉⣠⣴⣾⣿⣿⣿⠿⠻⢿⣿⣿⣿⣿⠿⢿⣷⡀⠀⠀⠀⠀⠠⣤⠤⠤⠄⣀⣀⠀⠀⠀⠀⠀⠀⠤⢞⣻⣿⣿⣿⣿⣿⣷⣿⣿⡿⠋⠀⣀⠣⡜⢢⡙⢮⡜ ⢠⡟⠁⣠⢞⠿⣩⣾⡽⠋⣠⡷⠻⠀⠀⠙⣿⢻⡀⠀⠉⠛⣤⠀⠀⠀⠀⠈⠑⠒⠠⠤⠞⠛⠀⠀⠀⠀⠀⠀⠛⣽⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠰⣀⠳⡌⢧⡹⢣⢞ ⢸⢀⡞⡵⠋⣴⡿⢋⠀⣰⠟⠠⢁⠂⠄⠀⢹⡆⢹⡀⠀⠀⠈⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠟⣿⣿⣿⣿⣿⣿⣿⡿⢿⡿⣤⣇⣌⠳⣜⣣⠽⣍⢾ ⢀⡟⡞⢀⣾⠟⡵⠃⣰⠏⠀⠀⣼⠀⡙⣂⡏⢹⣀⡧⠀⠀⠀⠀⣿⣷⣦⡀⠀⠀⠀⠀⠀⢀⣠⣤⡶⠋⠁⠀⣼⣯⢿⡟⣻⠇⢨⡉⢤⡀⠙⢶⣍⠻⣟⠶⣭⢞⣭⠏ ⢸⢹⠁⡼⢥⡾⠁⣰⠏⠀⠀⣰⡟⠀⣇⣼⠁⣸⣸⠇⠈⠀⠤⠀⣿⣿⣿⡿⣷⣤⣴⣶⣿⣿⣿⠿⡇⠀⠀⢠⣿⣣⡟⠡⡿⢠⠀⢿⠀⠘⢳⡈⢿⣳⣌⠳⣬⣻⡎⠀ ⠸⣿⣰⠏⣾⠃⢀⡿⠀⠀⢠⡿⠁⢨⡼⠃⢠⣯⠏⠀⠀⠀⠀⠀⣿⣋⢿⣽⣳⢯⣞⣼⡿⠋⠈⠘⡇⠀⠀⣾⢳⣿⠁⣸⡇⢸⠀⢸⢀⠀⠸⣷⡄⢻⡽⡆⢿⠟⢟⠂ ⠀⠙⣿⣼⡏⣄⣸⡇⠀⠀⡞⠁⠄⣾⠃⢀⣿⠋⠀⠀⠀⠀⠀⠀⣿⠐⣈⠹⠷⣫⣾⠏⠀⠀⠀⠀⡇⠀⣸⣿⣿⣿⠀⡼⡇⢸⠀⠘⡌⣆⠀⠘⣧⡌⢿⡇⣸⠀⠈⢳ ⠀⣼⣯⣿⣸⡇⣿⠀⠀⣸⠇⠀⣼⠁⣀⣾⠃⠀⠀⠀⠀⠀⠀⢀⡯⠰⡏⠁⠀⠜⠁⠀⠀⠀⠀⠀⣇⢠⣏⢿⣿⣿⡀⣇⣧⣾⡀⠀⠀⣿⢠⡀⢹⣷⠘⡷⠃⠀⠀⠀ ⣸⠿⣿⡟⣼⡇⣿⠀⠀⣿⣰⢽⡇⠀⢿⡇⠀⠀⠀⠀⢀⣠⢴⣿⠄⠁⢧⠀⠀⠀⠀⠀⣰⠀⠀⠀⢘⡿⢧⣾⣿⣿⣷⣿⠈⣿⣇⠀⠀⣻⢸⡇⠰⣿⣇⢳⠀⠀⠀⠀ ⡏⠀⣿⡿⣼⡇⣿⡡⠀⣿⣿⣿⠀⢀⠘⣄⣀⣠⠤⠒⠍⠂⠘⢿⡀⠂⠸⡄⠀⠀⠀⣰⡏⠀⠀⠀⣼⠃⠀⠈⠙⠻⢿⣿⣇⣿⣿⣆⡀⢹⢾⣇⠰⡏⢹⠘⡇⠀⠀⠀ ⠀⠀⠘⣿⢲⣷⣿⣽⣇⡿⠟⠋⠉⠉⠀⠀⠒⠶⢬⣝⣒⣦⣄⣸⣇⠀⢀⣃⠀⠀⢠⠋⢁⣀⣀⣠⡿⠤⠞⠒⠒⠃⠀⠀⠀⠈⠄⠁⠉⠉⠛⠻⢌⡇⢸⡀⡇⠀⠀⡰ ⠀⠀⠀⠹⣧⣻⣾⠟⠉⠀⠀⠀⠀⠀⠘⢆⠀⠀⠀⠀⠀⠀⠉⠉⢻⡏⠉⠉⠑⠀⠘⠋⠁⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢾⣱⠇⠀⠈⠀ ⠀⠀⠀⠀⢙⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡄⠀⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣟⠀⠀⠀⠀ ⡀⠀⠀⠀⡾⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⡆⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀ ⢧⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⠀⠀⠀⠀⢀⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀ ⠀⢳⣀⢸⢁⠀⠀⠀⠀⠀⠀⠀⠈⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣦⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠁⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀ ⠀⠀⠙⢿⢂⡐⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣦⣤⣼⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢻⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⢸⡇⡐⠀⠀⠀⠀⠀⠀⡀⢸⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣯⣭⣯⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣾⠀⠀⠀⠀⠀⠀⠀⠀⢨⡇⠀⠀ ⠀⠀⠀⠘⡷⣈⠐⠀⠀⠀⢀⠐⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⡾⣿⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣅⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀ ⠀⠀⠀⠀⣷⡱⢊⠐⡀⠂⠌⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣇⣀⣀⣀⣸⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⢸⡀⠢⠀ ⠀⠀⢠⡴⢻⣕⠣⠄⡡⢁⢲⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⣹⠟⢄⠁ ⠀⢰⣿⠟⢩⣯⠓⡌⠐⣠⡟⠀⠀⠀⠀⣠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⢀⣀⣠⣖⣦⡀⠀⠀⢹⡀⠀⠀⠀⠀⣿⡇⠈⣧ ⠀⣿⡃⠀⣼⣹⡗⡌⠡⢼⠃⠀⠀⠀⡼⣿⣿⡗⢠⠄⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡌⣿⣾⡇⡷⠀⠀⠀⣧⠀⠀⠀⠀⡿⠁⢠⡟ ⠀⠹⠷⠦⢹⣟⡷⣌⠡⣿⠀⠀⠀⠀⠙⠬⠽⠽⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⠿⠛⠁⠀⠀⠀⣿⠀⠀⠀⠀⡷⢤⡿⠞ ⠀⠀⠀⠀⠀⠛⣿⠰⢦⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⡍⡆⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣋⢿⡔⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠀⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⣯⠄⠻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠋⠙⢯⣟⡶⣆⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠏⠀⠀⠀⠀⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡗⡼⡎⡑⢌⠻⣦⣀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⡿⠛⠁⠀⠀⢸⠀⠈⠙⠻⢽⣷⢦⣄⣀⡀⢀⠀⢀⠀⣀⣠⣴⡿⠁⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⢰⢻⡔⣈⠒⣿⢩⢛⣟⠾⣳⣛⣾⡿⠟⠋⠁⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⠛⠛⠛⠉⠁⣼⠁⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⡪⡕⣣⠤⣉⣿⠀⢊⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠀⠀⠀⣿⠀⠂⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣇⠳⢆⡱⠠⢿⠀⠂⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⡁⠀⠀⠀⠀⠀⢸⡃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣇⡻⢜⡰⡉⢾⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠠⠐⠀⠀⠀⡀⠌⢸⠄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣷⢩⠖⣡⠇⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣄⠩⠄⢂⠁⡰⠈⣼⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⡎⢽⢠⢋⠴⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⢿⣆⡘⠤⢂⡱⢈⣾⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣟⡜⢢⠉⠆⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡐⠠⢉⠻⢶⠡⢆⢃⡿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡘⠤⡉⠆⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠸⣇⠑⣈⠒⠤⢋⠴⣩⡇⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⢂⠱⢨⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⢻⣄⠂⢍⣸⣡⣾⠟⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡟⡦⢑⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀⠀⠀⠈⢿⡞⣎⡷⠋⠀⠀⠀⠀⠀⠀⣼ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢱⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠋⠀⠀⠀⠀⠀⠈⢻⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡿⡱⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⢠⣟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⢥⠃⡌⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡄⠀⠀⠀⠀⠀⢰⣞ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⢏⡼⠁⠐⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣄⠀⠀⠀⢀⡿⣜ ⠀⠀⠀⠀⠀⠀⠀⣼⣫⠞⡀⢡⠂⠀⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⢰⡟⣼ ⠀⠀⠀⠀⠀⠀⣼⡷⢋⡐⢈⠄⢂⠁⠄⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⣸⣽⡳ ⠀⠀⠀⠀⠀⣼⠟⡡⢂⠔⢂⠈⠄⠂⠌⠠⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡀⣿⡞⣽ ⠀⠀⠀⠀⣰⢏⠦⡑⢌⡐⠢⡈⠤⠁⠌⡐⢀⠂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⣯⢿⡼ ⠀⠀⠀⢀⡿⣈⠖⡈⠆⡌⠱⡐⢢⢁⠂⡐⠀⠆⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⢧⣟ ⠀⠀⠀⣸⡓⠴⡈⠴⠡⢌⠱⡈⠆⡌⡐⠠⠁⠂⠌⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣟⡾ ⠀⠀⢀⡟⡬⢱⠘⡄⢃⠎⡰⢁⠎⡐⠀⠑⣆⠁⢂⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⣳ ⠀⠀⢸⢏⡔⡃⢎⠰⡁⠎⡐⠂⠄⠠⠀⠀⠈⢶⡀⠂⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠁⠀⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⡵ ⠀⠀⣾⢡⠚⣌⠢⡑⠄⡃⠄⠁⡘⠀⠀⠀⠀⠀⠹⣄⠂⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠐⢠⢈⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣻ ⠀⠀⣟⡌⢳⠠⣃⠌⠒⡀⠂⠈⠀⠀⠀⠀⠀⠀⠀⠙⣦⠉⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⣀⡾⢀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡷ ⠀⠀⡯⡜⣡⠒⡡⠘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢆⡴⠏⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡿ ⠀⠈⡷⣑⠢⡱⠡⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⡁⠂⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿ ⠀⠀⡷⢡⢓⡰⢁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⢀⠀⠀⠀⠀⢀⣾⠣⡘⠠⢡⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣷ ⠀⠀⢽⡡⢆⡱⠈⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⣄⣹⣯⣀⣀⣤⣿⠡⠆⡁⢂⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡷ ⠀⠀⣾⢰⢃⠦⡉⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡟⠋⠹⠟⢻⡿⣡⠃⠜⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⡽ ⠀⠀⢽⡎⡜⢢⠑⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡦⠀⠀⣾⡱⡂⠥⠈⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡽ ⠀⠀⢸⡧⡙⢆⠣⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠔⢸⢧⡓⣁⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⢻ ⠀⠀⠸⣗⠭⣊⠕⡨⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠀⣿⢎⡱⠠⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣯⣟ ⠀⠀⠀⣿⡜⢢⢍⠰⡁⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⡁⣯⢛⠴⡁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣳⢾ ⠀⠀⠀⢹⣎⠇⣎⠒⡄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⡇⣏⢎⡒⠄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣽⣻ ⠀⠀⠀⠈⣯⢚⠤⡃⠔⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⡃⣏⠖⡨⠄⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⣿⢾⣽ ⠀⠀⠀⠀⢻⣍⠖⣩⠘⡄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣼⣟⡯⠜⡰⠠⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⢻⣟⣾ ⠀⠀⠀⠀⠘⣯⢚⠤⡃⠤⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢹⣿⡧⢋⠤⠁⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠐⠸⣿⣽ ⠀⠀⠀⠀⢀⢻⡍⡖⢱⡈⠂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢀⢻⣿⡧⢩⢀⠃⠄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⢀⠀⢿⣿ ⠀⠀⢈⣄⣠⠸⣏⡼⠡⡌⡑⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢌⢺⣿⣇⠃⠆⡘⠠⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⣰⣲⠤⠘⣿ ⠀⠐⠀⠀⠀⡀⢿⡜⡱⢂⡑⠂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢌⢺⣿⡧⢉⠰⢀⠃⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠀⠀⢀⡀⠄⢹
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⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬛🟪⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬛🟪🟪⬛⬛⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛ ⬜⬜⬜⬜⬛🟪🟪🟪⬛⬜⬛🟪⬛⬜⬛⬛⬜⬜⬜⬛⬛🟪🟪⬛ ⬜⬜⬜⬜⬛🟪🟪🟪🟪⬛🟪🟪⬛⬛🟪⬛⬜⬛⬛🟪🟪🟪⬛⬜ ⬜⬜⬜⬜⬛🟪🟪🟪⬛🟪🟪🟪⬛🟪🟪⬛⬛🟪🟪🟪🟪🟪⬛⬜ ⬜⬜⬜⬜⬜⬛⬛🟪🟪🟪🟪🟪🟪🟪⬛⬛🟪🟪🟪🟪🟪⬛⬜⬜ ⬜⬜⬜⬜⬜⬛🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪⬛⬜⬜ ⬜⬜⬜⬜⬛🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪⬛⬜⬜⬜ ⬜⬜⬛⬛🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪⬛🟪⬛⬛⬜ ⬜⬛🟪⬛🟥🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪⬛⬜ ⬛🟪🟪⬛🟥⬛🟪🟪🟪🟪🟪🟪🟥🟥🟪🟪🟪🟪⬛🟪🟪⬛⬜⬜ ⬛🟪🟪⬛🟪🟪🟪🟪🟪🟥⬛🟥🟥🟪🟪🟪🟪🟪🟪⬛🟪🟪⬛⬜ ⬜⬛⬛⬛⬛🟪🟪🟪🟪🟪🟥🟥🟪🟪🟪🟪🟪🟪🟪🟪⬛🟪🟪⬛ ⬜⬜⬜⬛⬜⬛⬛🟪🟪🟪🟪🟪🟪⬛⬛🟪🟪🟪🟪🟪🟪⬛⬛⬜ ⬜⬜⬜⬜⬛⬜⬜⬛⬛⬛⬛⬛⬛⬜🟪🟪🟪🟪🟪🟪⬛🟪⬛⬜ ⬜⬜⬜⬜⬛🟪⬜⬜⬜⬜⬜⬜⬜🟪🟪🟪⬛⬛🟪🟪🟪⬛⬜⬜ ⬜⬜⬜⬜⬜⬛🟪⬜⬜⬜⬜🟪🟪🟪🟪🟪🟪🟪⬛⬛⬛⬛⬜⬜ ⬜⬜⬜⬜⬜⬛⬛🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪⬛🟪⬛⬜ ⬜⬜⬜⬜⬜⬛🟪⬛⬛🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪⬛🟪🟪⬛ ⬜⬜⬜⬜⬜⬜⬛🟪🟪⬛⬛🟪🟪🟪🟪🟪🟪🟪🟪⬛🟪⬛⬛⬜ ⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬛⬛⬛🟪🟪🟪🟪🟪⬛⬛⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟪🟪🟪⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠟⠉⠉⢠⡞⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⣠⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠋⢠⠀⠀⣸⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡀⠀⡇⢠⣻⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡄⠈⠘⣿⣶⣶⣶⣖⡀ ⠀⠀⠀⠀⢀⡤⣲⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⢰⣿⣿⡿⠋⠉⠙ ⠀⠀⠀⣴⣯⣏⣽⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⣼⢿⢻⠀⠀⠀⢀ ⣦⣤⣾⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣁⣿⡊⠀⠀⠀⣠⠞ ⠈⠿⣿⣿⣿⣿⣿⣿⠀⣰⣳⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢈⣷⡏⢇⠀⠀⠀⠀⣿⡇⠁⠀⣠⠟⠁⠀ ⠀⠀⠙⣿⣿⣿⣿⣿⠀⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣼⣿⣿⡟⠀⠀⠀⢰⣿⣷⣶⠊⡅⠀⠀⠀ ⡀⠀⢀⠈⢻⣿⣿⣿⣆⠈⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⣾⣿⣿⠃⡼⠁⣰⠆⠀ ⠹⣄⠀⢧⠀⢻⣿⣿⣿⣷⡀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⣿⣿⠃⡰⠁⢀⡏⠀⢀ ⠀⢻⡄⠘⣆⠀⢻⣿⣿⣿⣯⣦⣀⠀⠀⠀⠀⠀⣠⡴⠀⠀⠀⠀⠀⠀⠈⢿⣔⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⣸⣿⣿⢠⠃⢀⣾⠁⠀⢈ ⡇⠀⢿⠀⢹⡆⠘⣿⣿⣿⣿⣿⣿⣿⣿⡶⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⣶⣴⣶⣤⣤⣤⡶⠛⠁⢀⣿⣿⣿⣞⡆⢻⣿⠀⠀⠏ ⣷⠀⢨⠃⢠⣧⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⢠⠀⣸⣿⣿⣿⣧⣿⠚⠻⠀⢸⠀ ⡏⠀⡸⠀⡾⠈⢧⣈⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣷⣂⣀⡇⠀ ⢱⡀⢁⡰⠁⠀⠀⢛⡛⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠸⣿⣿⣿⣿⣿⡿⠉⠉⢉⠁⠀
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⣿⣿⣿⣿⣿⣿⡿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿name 1⡄⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⠟⢰⣾⢛⣃⣾⣿⣿⣿⣿⠟⠋⠙⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠡⣶⡾⢿⡄⠻⣿⣿⣿⣿⡟name 2⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠄⢸⣇⢸⡇⠱⣌⣛⣛⡛⣉⣤⣤⡤⠤⠭⠭⠉⠻⠿⠿⠿⢿⣿⣿⣿ ⣿⣿⣿⣿⡆⡄⢻⡀⠳⣷⣶⣷⠂⣰⣿⣿⡀⣶⠄⠄⠄⠄⠄⠄⠄⠄⠄⢸⣿⣿ ⣿⣿⣿⡿⣡⣿⣦⣌⠢⡙⠋⠄⢺⡿⠿⣩⣴⣿⠠⣤⣤⣤⣤⣤⣤⣤⣤⢀⣿⣿ ⣿⣿⣿⡇⢿⣿⣿⡏⢠⣄⣙⠂⢈⣴⣾⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿ ⣿⣿⣿⣿⣦⠻⣿⣷⠈⢿⣿⡐⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿ ⣿⣿⣿⣿⣿⣆⠹⣿⡇⠈⢻⣧⢻⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿ ⣿⣿⣿⣿⣿⠟⣠⡿⢁⣾⠄⣿⢸⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿ ⣿⣿⣿⣿⡏⢸⡿⢁⣾⣿⣶⡇⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿ ⣿⣿⣿⣿⡇⡾⠄⠬⠍⡙⠄⠑⠿⠿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿ ⣿⣿⣿⣿⡐⠧⣜⡻⢿⣏⡘⠂⠄⠐⣿⣿⣿⣿⠸⢛⣛⣛⣛⣛⣛⣛⠻⢸⣿⣿ ⣿⣿⣿⣿⣿⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣷⣾⣿

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⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣤⣄⠀⠀⠀⠀⠀⢀⣤⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀ ⢴⣾⣿⣿⣿⣏⣉⣉⣉⣛⣛⣻⣿⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠙⢷⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣾⣿⣛⣛⣋⣉⣉⣉⣿⣿⣿⣿⣶⠄ ⠀⠙⢿⣿⣿⣿⡁⠀⠀⣉⡿⠋⠉⠉⠙⠛⠻⢿⣦⣄⠀⠀⠀⠀⠘⣇⠀⢀⡟⠀⠀⠀⠀⢀⣤⣾⠿⠛⠋⠉⠉⠉⠻⣏⡉⠀⠈⣹⣿⣿⣿⠟⠁⠀ ⠀⠀⠀⠙⣿⣿⣟⠉⠉⣙⡇⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣦⡀⠀⠀⢹⠀⣸⠃⠀⠀⣠⣾⠟⠋⠀⠀⠀⠀⠀⠀⠀⢀⣿⡉⠉⠹⣿⣿⡟⠉⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⣿⣟⠉⢉⣿⣦⣄⣀⣀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠸⡇⡿⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⢀⣀⣀⣤⣾⣍⠉⠙⣿⣿⡯⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣿⣿⣿⠉⠀⠀⣀⣨⡟⠛⠛⠒⠒⠤⢄⣀⠀⠙⢿⣆⣷⣧⣾⠟⠁⠀⣀⠤⠄⠒⠚⠛⠛⣯⣀⡀⠀⠉⢹⣿⣿⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⡟⠉⣀⡤⢷⡦⠄⠀⠀⠀⠀⠈⠙⠢⣌⣻⣿⣿⢋⠤⠚⠉⠀⠀⠀⠀⠀⠠⣶⠷⣄⡈⠙⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⠿⣿⣿⣿⣁⡤⠾⣷⣤⣴⠶⢶⣒⡻⠿⠿⢛⣿⣿⣿⣟⠛⠽⠿⢓⣲⠶⢶⣦⣴⡟⠦⣄⣹⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⣿⣿⣿⢛⣉⠥⠒⠉⠁⠀⣀⠔⢈⠔⣽⣿⣿⡝⢌⠒⢄⡀⠀⠉⠑⠢⢍⣙⢻⣿⣿⡟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠋⠀⠀⠀⢀⡤⠊⠀⡴⠋⣼⡟⣿⡟⢿⡄⠳⡄⠈⠢⣀⠀⠀⠀⠈⢻⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣯⢽⣀⠀⣀⣴⡏⠀⢀⡞⠁⣸⡿⠀⠉⠀⠘⣿⡀⠙⣆⠀⠘⣷⣄⡀⢀⡸⢯⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⣿⣿⡶⠋⡿⠋⣽⠷⣶⡟⠀⢰⣿⠃⠀⠀⠀⠀⢹⣧⠀⠘⣷⡖⢿⡍⠻⡏⠳⣶⣿⡟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣷⡞⠀⢠⡇⢰⡟⠀⠀⣾⡏⠀⠀⠀⠀⠀⠈⣿⡆⠀⠘⣧⠀⣷⠀⠹⣶⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣶⡟⠙⣿⡀⠀⣰⡿⠀⠀⠀⠀⠀⠀⠀⠸⣷⡀⠀⣹⣟⠙⣷⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢿⣿⣿⣿⡿⠿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠿⣿⣿⣿⣿⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠋⠉⠙⠻⣦⢀⣠⣴⣾⡿⠿⠿⣿⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⡟⠉⠉⠉⠙⠛⠿⣷⣦⣤⣤⣶⣶⣶⣶⣶⣶⣶⣾⠋⠀⠀⠀⠀⠀⠹⣿⠛⠉⠀⠀⠀⠀⠘⣿⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠋⠉⠉⠉⠉⠉⠉⣽⠃⠀⠀⠀⣠⣤⣤⣀⣹⣇⣀⠀⠀⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⣼⡏⢀⣿⠟⠉⠉⠙⠻⣦⣶⠶⠶⠿⠿⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⣇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠘⢷⣾⡇⠀⠀⠀⠀⠀⢻⣧⣀⠀⠀⠀⠈⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣦⣀⣀⣀⣀⣽⣧⠀⠀⠀⠀⢀⣾⠏⢹⡇⠀⠀⢠⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠉⠁⠙⠷⣦⣤⣶⡿⠻⠶⠟⠁⠀⢀⣾⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣄⠀⠀⠀⣠⣾⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣿⠇⢀⣀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⣀⣙⣻⣿⣟⡋⢹⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⡀⠀⠀⠀⠀ ⣀⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠛⠃ ⠈⠉⠀⠀⠘⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⡿⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡟⠁⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣃⣤⣤⣜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⡀⠀ ⠀⠀⠰⠾⠟⠛⣿⣿⣿⡿⣋⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⢿⣄⣠⡿⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠈⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣯⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⡶⠟⠛⢿⣦⣌⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠀⣠⣾⡿⠋⠉⠛⠿⢶⠀⠀⠀ ⠀⠀⠀⠀⠛⠋⠀⠀⠀⠀⠉⠻⢿⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⠿⣷⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⡿⠿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜ ⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜ ⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜ ⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜ ⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜ ⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜ ⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜ ⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜ ⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜ ⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜ ⬜⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜ ⬜⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜ ⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜ ⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜ ⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜ ⬜⬜⬛⬜⬜⬜⬛⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬛⬜⬜⬜⬛⬜⬜⬜ ⬜⬜⬜⬛⬜⬜⬛⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬛⬜⬜⬜⬛⬜⬜⬜ ⬜⬜⬜⬛⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬛⬜⬜ ⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜ ⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜ ⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡫⠡⠀⡨⠭⡙⠦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⡡⠒⡠⠥⠆⡐⢌⢢⠘⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⡿⢃⠞⣠⠊⠐⠀⡀⡸⡄⠲⣄⢹⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣻⢁⠎⣠⣿⣰⡷⣾⠱⣴⣹⡄⠈⡆⢧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡇⣼⢠⣿⣿⣿⠿⢃⠀⠈⣿⠟⢹⣿⣾⢂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⡧⣿⣿⠁⠉⠁⠀⠉⠿⢒⠏⣙⣾⣿⡧⠊⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠙⣿⣿⣦⡀⠀⠀⠀⠀⢁⡴⣿⣿⣁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣌⡦⢤⡴⢊⠗⢁⣻⣿⣤⣀⠀⠀⠀⠀⠀ ⠀⢀⠐⣈⣾⣿⣿⣿⣿⣿⣿⣬⣹⣄⣿⣿⣿⣿⣿⣿⣿⣿⣦⡄⠀⠀ ⢰⣾⣶⣿⣿⣿⣿⣿⣿⣯⣭⣍⢛⠛⣛⠻⣿⣿⣿⣏⠹⢟⠻⣿⠀⠀ ⣸⣿⣿⣿⣿⣿⡫⠿⢟⡿⠿⣿⣿⣾⣿⣿⣥⣾⣿⣯⣠⠊⣸⣿⡇⠀ ⠹⣿⣿⣿⣿⡏⠀⠀⠀⠀⠑⠶⠤⠄⠈⠉⠩⢝⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠘⣿⣿⣿⣄⠀⠀⠀⠀⡄⠐⡀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣿⣿⡀ ⠀⠀⠈⠛⠛⠛⠑⠒⠒⠉⠀⠀⠱⣄⡀⠀⣀⠴⢙⢿⣿⣿⣿⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⡆⠀⠹⣿⣿⣿⠟⠀ ⠀⠀⠀⠀⢀⣴⡷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣧⠀⠀⠈⠉⠁⠀⠀ ⠀⠀⠀⢀⣾⢱⠡⠂⠁⠂⠠⠤⠤⠤⠤⠐⡚⢳⠑⣧⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⡇⡌⠀⢀⠀⠉⠑⠐⠂⠰⠂⠉⠰⠀⡆⠸⡷⡀⠀⠀⠀⠀ ⠀⠀⢸⢣⢃⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⣴⠀⡆⠸⡀⢱⡰⡀⠀⠀⠀ ⠀⢀⡏⣸⠸⠀⣈⠀⡄⠀⠄⠀⠀⢰⠀⠘⡄⢰⠀⢡⠀⢧⢱⠀⠀⠀ ⠀⢸⣤⡟⡄⠀⣿⠀⡄⠀⠀⠀⠀⠈⠀⠀⡇⠀⡇⠈⣆⣸⡟⠃⠀⠀ ⠀⠀⠀⢿⣗⣦⣇⠀⠀⠀⡀⠀⠀⠀⡇⠀⢷⠀⣽⣶⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠸⣯⠙⠿⣵⣷⣦⣇⢀⣆⠄⣷⣄⣾⠿⠋⠀⣼⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⡄⠀⠀⠀⢈⣻⣿⣙⣻⣉⡉⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⠖⠚⢉⣩⣭⡭⠛⠓⠲⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⠃⢀⡴⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀ ⠀⠀⠀⠀⡾⠁⣠⠋⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀ ⠀⠀⠀⣸⠁⢰⠃⠀⠀⠀⠈⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀ ⠀⠀⠀⡇⠀⡾⡀⠀⠀⠀⠀⣀⣹⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀ ⠀⠀⢸⠃⢀⣇⡈⠀⠀⠀⠀⠀⠀⢀⡑⢄⡀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⢸⠀⢻⡟⡻⢶⡆⠀⠀⠀⠀⡼⠟⡳⢿⣦⡑⢄⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⣸⠀⢸⠃⡇⢀⠇⠀⠀⠀⠀⠀⡼⠀⠀⠈⣿⡗⠂⠀⠀⠀⠀⠀⠀⠀⢸⠁ ⠀⠀⡏⠀⣼⠀⢳⠊⠀⠀⠀⠀⠀⠀⠱⣀⣀⠔⣸⠁⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀ ⠀⠀⡇⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀ ⠀⢸⠃⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⢀⠀⠀⠀⠀⠀⣾⠀⠀ ⠀⣸⠀⠀⠹⡄⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠸⠀⠀⠀⠀⠀⡇⠀⠀ ⠀⡏⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⢀⣠⢶⡇⠀⠀⢰⡀⠀⠀⠀⠀⠀⡇⠀⠀ ⢰⠇⡄⠀⠀⠀⡿⢣⣀⣀⣀⡤⠴⡞⠉⠀⢸⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⣧⠀⠀ ⣸⠀⡇⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⢹⠀⠀⢸⠀⠀⢀⣿⠇⠀⠀⠀⠁⠀⢸⠀⠀ ⣿⠀⡇⠀⠀⠀⠀⠀⢀⡤⠤⠶⠶⠾⠤⠄⢸⠀⡀⠸⣿⣀⠀⠀⠀⠀⠀⠈⣇⠀ ⡇⠀⡇⠀⠀⡀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠸⡌⣵⡀⢳⡇⠀⠀⠀⠀⠀⠀⢹⡀ ⡇⠀⠇⠀⠀⡇⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠮⢧⣀⣻⢂⠀⠀⠀⠀⠀⠀⢧ ⣇⠀⢠⠀⠀⢳⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡎⣆⠀⠀⠀⠀⠀⠘ ⢻⠀⠈⠰⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠘⢮⣧⡀⠀⠀⠀⠀ ⠸⡆⠀⠀⠇⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠆⠀⠀⠀⠀⠀⠀⠀⠙⠳⣄⡀⢢⡀
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⢻⣕⢯⢿⣯⡷⣹⣿⣿⣦⠹⣿⡆⢿⣿⡄⡆⢿⣿⣷⣿⣇⣿⣿⣿⣿⣸⣿⣿⣿⣿⡟⣰⠟⠛⠻⢿⣴⣿⠏⣴⣿⣟⣾⠟⢀⣵⣿⣿⣿ ⢷⣝⢷⣱⣟⣿⠋⣌⢿⣿⣷⡹⣿⣬⣿⠿⠿⣛⣛⣉⣭⣭⣭⣭⣭⣭⣝⣛⡻⠿⢿⣴⡟⠀⠀⠀⢸⡿⢣⣾⣿⠟⠛⠙⠛⠛⢷⣿⣿⣿ ⠙⠻⣷⣏⣿⢣⠁⢻⣷⡙⡿⢟⣫⣥⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣬⡇⠀⠀⠀⣾⣵⣿⡟⠀⠀⣴⣶⣦⠀⠀⠙⣯⣵ ⣿⣿⣍⣿⢣⠉⠀⠶⣿⣷⠐⣿⣿⣿⡿⣿⣿⣿⣿⣿⣻⣿⣿⠿⢿⣛⣛⣭⣭⣭⣶⣶⡇⠀⠀⣸⣧⣭⣽⣇⠀⠀⢸⣿⣿⠁⠀⠀⣿⣿ ⡙⠿⣿⠇⠆⠀⢀⣾⣾⡝⠇⢿⣿⡿⣕⣪⣿⡿⢟⣛⣭⣵⣶⣿⣿⣿⣿⣿⡿⠿⠿⢻⡇⠀⢠⡟⠀⠀⠀⠈⡳⠶⣳⠞⠁⠀⠀⣰⣿⡿ ⣿⣷⡿⠀⠀⠀⢸⣿⣿⣿⢮⣿⣷⡿⢟⣫⣵⣾⣿⣿⣿⣿⠿⠟⠛⠉⠁⠀⠀⠀⠀⢸⡇⠀⣾⡀⠀⠀⠀⠀⡀⡼⠁⠀⣀⣴⡾⣟⡭⠖ ⠿⣿⡇⠀⠀⠀⣿⣿⡿⢏⡾⢟⣥⣶⣿⡯⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠤⠶⠂⠘⣴⠞⠂⠸⣯⢈⠄⡀⠎⡐⣸⠇⠀⣼⣵⡟⢻⣡⣴⣾ ⣬⣿⢰⣀⣀⣤⣾⠶⠞⣭⣾⣿⣿⣿⠟⠋⠁⠀⠀⢀⠀⠀⠀⠩⠁⠀⠞⣈⣷⠐⣯⠀⠀⠀⣽⠂⣾⣿⣦⣴⠛⠁⠘⣯⠻⣿⣿⣿⣿⣿ ⢾⡇⣾⣿⠟⢩⣾⣿⣿⠇⢬⠛⠋⠀⠀⠀⢠⣤⠄⠀⠀⠀⣿⡶⡤⠀⢀⠻⢿⠀⢸⠳⠶⠞⣷⡀⠛⠿⠿⣯⡀⠀⠀⡼⢷⡹⣿⣟⣛⣩ ⣿⢸⣿⠟⠀⠀⠨⣶⠷⠀⡈⠃⢀⡀⠠⠚⣿⣿⠁⡀⢠⠀⠨⠁⠄⠀⠨⠈⠂⠀⢸⡌⠀⡀⣿⣧⠀⠁⠀⢎⡛⠛⠛⠡⠀⢳⠹⣿⣿⣟ ⣿⠘⣡⣾⡀⡀⠀⣁⣀⣤⣑⠀⠈⠁⠈⠊⠂⠀⠀⣇⣿⠀⠀⣀⣀⣀⣤⣤⣤⣤⣼⣥⣤⣥⠿⢿⠆⠀⠁⠁⠈⠀⠀⠀⠀⠀⠃⢻⣿⣿ ⢣⣾⣿⡿⠋⢀⡘⠻⠟⠛⠁⠀⠀⣀⡤⣀⣤⣶⣶⣬⣙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣫⣾⣿⣿⣿⣿⣮⡻⣶⡆⠀⠀⢠⣇⠀⢸⣿⣿ ⣿⠿⢁⠀⠀⢸⠀⣀⡀⠠⢰⢰⣿⣟⣾⣿⣿⣿⣿⣿⡿⠷⡽⣿⣿⣿⣿⣿⣿⣿⡏⣼⣿⣿⣿⣿⣿⡟⠋⠙⢸⡇⠀⢰⢸⣿⠀⢸⡿⠾ ⠁⠀⢸⠀⠀⣸⠀⠃⠀⠀⣿⡎⣿⢸⣿⣿⣿⣿⣿⣟⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇⢿⣿⣿⣿⣿⣿⣇⠀⠀⣠⡇⠀⠘⣇⢿⠀⢸⡿⣿ ⠀⠀⠸⡀⠀⣿⠓⡇⢘⠿⠹⡿⡸⡼⣿⣿⣿⣿⣿⣿⣶⣤⣖⣿⣿⣿⣿⣿⣿⣿⣿⡘⢿⣿⣿⣿⣿⣿⣿⣟⣼⣇⠀⠀⠈⠪⡠⣿⣿⣿ ⠀⠈⠀⢇⠀⢻⠀⡀⠈⢇⠀⠐⠱⡑⣌⡻⣿⣿⣿⣿⠿⣫⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣝⣛⣛⣛⣻⣵⣿⣿⣿⣶⠲⠂⣆⢦⣤⣉⣻ ⠁⠀⠀⠘⡄⢸⠀⠠⠀⡐⠘⢀⣀⣌⣌⣿⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⡘⣿⣿⣿ ⠀⠀⠀⠀⠐⠘⡄⠀⠀⠠⠅⡈⠉⢩⠉⠉⣤⣙⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠈⡇⣿⠛⠿ ⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⡀⠀⠀⢡⠁⢌⢻⣿⣿⣿⣿⢏⣦⣭⣭⣮⣭⡁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⡇⢸⡷⢦ ⠀⢀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠁⢀⠀⠀⠂⠔⢡⠹⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⠿⢛⠁⠀⠀⠀⠀⠀⠀⡇⣼⣛⠷ ⢀⠄⠀⣼⣄⣀⣀⡀⠰⡄⠀⠀⠀⡠⠀⠀⣁⠡⠂⢻⣿⣿⣦⣍⡻⠿⠿⢟⣡⣿⡿⠿⠿⢛⣛⣭⣶⣾⠃⠀⠀⠀⠀⠀⠀⠀⡇⣿⢿⣿ ⠘⠀⢰⣿⣿⣿⣿⣿⣄⣿⡄⠀⠀⢃⠀⠀⠸⢤⠈⡀⢭⣩⣭⣭⣭⣉⠭⣶⢠⣶⢶⢄⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡶⢰⣿⣷⣎ ⣶⣤⣼⡿⣟⣽⣿⣿⣿⣿⣧⣤⣤⣤⡤⠀⣀⡁⠐⠀⢠⣙⠛⠛⠟⠛⠫⢦⠞⣩⣽⣮⡻⣿⣶⣮⣭⣛⣛⣛⢿⣿⣿⢋⣶⣶⣎⢿⣿⣿ ⣾⣛⢇⣫⣿⣿⢫⣶⣶⡝⣿⢟⣋⣥⣶⣿⣿⣿⣿⣿⣿⡟⢸⣿⣿⢟⣧⣬⢱⣮⣝⣿⣿⡸⣿⣿⣿⣿⣿⣿⡎⣛⠟⡨⢹⠻⣋⣾⣿⣯ ⠀⣱⣾⣿⣿⡿⡘⠿⠿⡣⠁⠿⢻⣿⣿⣿⣿⣿⣿⣿⠏⡀⢺⣿⢱⣿⣿⡟⣄⠻⣿⣷⡹⣧⠹⣿⣿⣿⣿⣿⡇⣿⠺⣥⡰⣵⣟⣮⠻⣿
⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡇⢀⢀⠍⠙⢿⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⠹⣿⣿⣿⣿⣿⣿⣿⠁⠈⢀⡤⢲⣾⣗⠲⣿⣿⣿⣿⣿⣿⣟⠻ ⡀⢙⣿⣿⣿⣿⣿⣿⢀⠰⠁⢰⣾⣿⣿⡇⢀⣿⣿⣿⣿⣿⣿⡄ ⣇⢀⢀⠙⠷⣍⠛⠛⢀⢀⢀⢀⠙⠋⠉⢀⢀⢸⣿⣿⣿⣿⣿⣷ ⡙⠆⢀⣀⠤⢀⢀⢀⢀⢀⢀⢀⢀⢀⢀⢀⢀⢸⣿⣿⣿⣿⣿⣿ ⣷⣖⠋⠁⢀⢀⢀⢀⢀⢀⣀⣀⣄⢀⢀⢀⢀⢸⠏⣿⣿⣿⢿⣿ ⣿⣷⡀⢀⢀⢀⢀⢀⡒⠉⠉⢀⢀⢀⢀⢀⢀⢈⣴⣿⣿⡿⢀⡿ ⣿⣿⣷⣄⢀⢀⢀⢀⠐⠄⢀⢀⢀⠈⢀⣀⣴⣿⣿⣿⡿⠁⢀⣡ ⠻⣿⣿⣿⣿⣆⠢⣤⣄⢀⢀⣀⠠⢴⣾⣿⣿⡿⢋⠟⢡⣿⣿⣿ ⢀⠘⠿⣿⣿⣿⣦⣹⣿⣀⣀⣀⣀⠘⠛⠋⠁⡀⣄⣴⣿⣿⣿⣿ ⢀⢀⢀⠈⠛⣽⣿⣿⣿⣿⣿⣿⠁⢀⢀⢀⣡⣾⣿⣿⣿⡟⣹⣿ ⢀⢀⢀⢀⢰⣿⣿⣿⣿⣿⣿⣿⣦⣤⣶⣿⡿⢛⢿⡇⠟⠰⣿⣿ ⢀⢀⢀⢀⣿⣿⣿⡿⢉⣭⢭⠏⣿⡿⢸⡏⣼⣿⢴⡇⢸⣿⣶⣿ ⢀⢀⢀⢰⣿⣿⣿⢃⣶⣶⡏⠸⠟⣱⣿⣧⣛⣣⢾⣿⣿⣿⣿⣿ ⢀⢀⢀⣾⣿⣿⣿⣾⣿⣿⠟⢻⡿⡉⣷⣬⡛⣵⣿⣿⣿⣿⣿⣿ ⢀⢀⣸⣿⣿⣿⣿⣿⣿⡿⢰⠘⣰⣇⣿⣿⣰⣿⣿⣿⣿⣿⣿⣿ ⢀⢀⠘⢿⣿⣿⣿⣿⣿⡷⢺⣿⠟⣩⣭⣽⣇⠲⠶⣿⣿⣿⣿⣿ ⢀⠐⢀⣾⣿⣿⣿⣿⠟⢐⡈⣿⣷⣶⠎⣹⡟⠟⣛⣸⣿⣿⣿⣿ ⠠⢀⣼⣿⣿⣿⣿⣯⣼⣿⣷⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠄⠄⠄⣰⣿⠄⠄⠄⠄⠄⢠⠄⠄⢀⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⢰⣿⠿⠄⡀⠄⠄⠄⠘⣷⡀⠄⠢⣄⠄⠄⠄⠄⠄⠄⠄⣠⠖⠁⠄⠄⠄⠄ ⠄⣤⢸⣿⣿⣆⠣⠄⠄⠄⠄⠸⣿⣦⡀⠙⢶⣦⣄⡀⠄⡠⠞⠁⢀⡴⠄⠄⠄⠄ ⢰⣿⣎⣿⣿⣿⣦⣀⠄⠄⠄⠄⠹⣿⣿⣦⢄⡙⠻⠿⠷⠶⠤⢐⣋⣀⠄⠄⠄⠄ ⢸⣿⠛⠛⠻⠿⢿⣿⣧⢤⣤⣄⣠⡘⣿⣿⣿⡟⠿⠛⠂⠈⠉⠛⢿⣿⠄⠄⠄⠄ ⠄⡇⢰⣿⣇⡀⠄⠄⣝⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⡄⠄⠈⠄⣷⢠⡆⠄⠄⠄⠄ ⢹⣿⣼⣿⣯⢁⣤⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⣴⠶⣲⣵⠟⠄⠄⠄⠄⠸ ⠄⢿⣿⣿⣿⣷⣮⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣟⣡⡴⠄⠄⠄⠄⠁ ⠄⠰⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⡀⠄⠄⠄⠄ ⠄⠄⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣶⡞⠄⠄⠄⠄⠄ ⠄⠄⠐⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠈⠻⣿⣿⣿⣿⣿⣿⣯⣿⣯⣿⣾⣿⣿⣿⣿⣿⡿⠋⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⢀⣿⣯⣟⣿⣿⣿⡿⣟⣯⣷⣿⣿⡏⣤⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⣞⢸⣿⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⣇⣿⡆⠄⠄⠄⠄⠄⠄⠄
⣿⣿⣿⣿⣿⠟⠋⠄⠄⠄⠄⠄⠄⠄⢁⠈⢻⢿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⠃⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠈⡀⠭⢿⣿⣿⣿⣿ ⣿⣿⣿⣿⡟⠄⢀⣾⣿⣿⣿⣷⣶⣿⣷⣶⣶⡆⠄⠄⠄⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠄⠄⢸⣿⣿⣿⣿ ⣿⣿⣿⣿⣇⣼⣿⣿⠿⠶⠙⣿⡟⠡⣴⣿⣽⣿⣧⠄⢸⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣾⣿⣿⣟⣭⣾⣿⣷⣶⣶⣴⣶⣿⣿⢄⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡟⣩⣿⣿⣿⡏⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣹⡋⠘⠷⣦⣀⣠⡶⠁⠈⠁⠄⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣍⠃⣴⣶⡔⠒⠄⣠⢀⠄⠄⠄⡨⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣦⡘⠿⣷⣿⠿⠟⠃⠄⠄⣠⡇⠈⠻⣿⣿⣿⣿ ⣿⣿⣿⣿⡿⠟⠋⢁⣷⣠⠄⠄⠄⠄⣀⣠⣾⡟⠄⠄⠄⠄⠉⠙⠻ ⡿⠟⠋⠁⠄⠄⠄⢸⣿⣿⡯⢓⣴⣾⣿⣿⡟⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⣿⡟⣷⠄⠹⣿⣿⣿⡿⠁⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⣸⣿⡷⡇⠄⣴⣾⣿⣿⠃⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⣿⣿⠃⣦⣄⣿⣿⣿⠇⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⢸⣿⠗⢈⡶⣷⣿⣿⡏⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
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▒▒▒▒▒▒▒▒▒▒ 0% █▒▒▒▒▒▒▒▒▒ 10% ██▒▒▒▒▒▒▒▒ 20% ███▒▒▒▒▒▒▒ 30% ████▒▒▒▒▒▒ 40% █████▒▒▒▒▒ 50% ██████▒▒▒▒ 60% ███████▒▒▒ 70% ████████▒▒ 80% █████████▒ 90% ██████████ 100%
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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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⣿⣿⣿⣿⣿⣿⠟⠋⠁⣀⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿ ⣿⣿⣿⣿⠋⠁⠀⠀⠺⠿⢿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⣿ ⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣤⠀⠀⠀⠀⠀⣤⣦⣄⠀⠀ ⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⠏⣿⣿⣿⣿⣿⣁⠀⠀⠀⠛⠙⠛⠋⠀⠀ ⡿⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣰⣿⣿⣿⣿⡄⠘⣿⣿⣿⣿⣷⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠸⠇⣼⣿⣿⣿⣿⣿⣷⣄⠘⢿⣿⣿⣿⣅⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⣴⣿⠀⣐⣣⣸⣿⣿⣿⣿⣿⠟⠛⠛⠀⠌⠻⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣶⣮⣽⣰⣿⡿⢿⣿⣿⣿⣿⣿⡀⢿⣤⠄⢠⣄⢹⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⣿⡘⣿⣿⣿⣿⣿⣿⠿⣶⣶⣾⣿⣿⡆⢻⣿⣿⠃⢠⠖⠛⣛⣷⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣮⣝⡻⠿⠿⢃⣄⣭⡟⢀⡎⣰⡶⣪⣿⠀ ⠀⠀⠘⣿⣿⣿⠟⣛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⡿⢁⣾⣿⢿⣿⣿⠏⠀ ⠀⠀⠀⣻⣿⡟⠘⠿⠿⠎⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣿⣿⠧⣷⠟⠁⠀⠀ ⡇⠀⠀⢹⣿⡧⠀⡀⠀⣀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⢰⣿⠀⠀⠀⠀ ⡇⠀⠀⠀⢻⢰⣿⣶⣿⡿⠿⢂⣿⣿⣿⣿⣿⣿⣿⢿⣻⣿⣿⣿⡏⠀⠀⠁⠀⠀⠀⠀ ⣷⠀⠀⠀⠀⠈⠿⠟⣁⣴⣾⣿⣿⠿⠿⣛⣋⣥⣶⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡀

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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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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠟⠉⠉⠀⣴⠏⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⢀⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠁⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⡾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡿⠀⠀⢳⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣄⠀⠘⡇⢠⣿⣇⣀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣆⠀⠁⠘⢿⣷⣶⣶⣴⡦⠄⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣤⢴⣲⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⢀⣿⣿⣿⣿⡿⠛⠛⢷ ⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⢸⣿⣿⡿⠋⠀⠀⠀⠁ ⠀⠀⠀⢠⣾⣽⣿⣧⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⣾⠿⡏⠇⠀⠀⠀⠀⢀ ⣷⣤⣴⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣄⣿⡷⠀⠀⠀⠀⠀⣠⠟ ⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⢠⣾⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢲⣤⡖⣦⠀⠀⠀⠀⠀⢰⣿⡏⠁⠀⠀⢀⣴⠟⠁⠀ ⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⡄⢠⣿⣲⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣇⠀⣿⣿⣷⣼⠀⠀⠀⠀⠀⣸⣿⣧⡀⢀⡴⠟⠁⠀⠀⠀ ⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⡇⠈⢿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⣿⣿⣿⣿⠏⢀⡆⠀⠀⠀⠀ ⠀⠀⠀⣀⠀⠹⣿⣿⣿⣿⣷⡀⠀⠙⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⣸⣿⣿⣿⠏⢠⡏⠀⢠⡾⠀⠀ ⠹⣆⠀⠘⣧⠀⠸⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠏⠀⡞⠀⠀⣿⠁⠀⠀ ⠀⢻⡆⠀⢹⡄⠀⠹⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠐⠒⠒⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⢋⣿⣿⡏⠀⡼⠁⠀⣸⡇⠀⠀⠰ ⡀⠀⢿⡄⠀⢿⡄⠀⢹⣿⣿⣿⣿⣿⣿⣗⣦⣄⣀⠀⠀⠀⣀⣤⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠟⠁⣼⣿⣿⣿⠀⡃⠀⣼⣿⠀⠀⢀⢳ ⣇⠀⠈⣗⠀⠈⣿⠀⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⠶⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣷⣶⣶⣶⣦⣤⣤⣴⣾⠛⠁⠀⢠⣿⣿⣿⣿⣆⣧⠚⢹⣿⠀⠀⠠⠋ ⣿⠀⠀⢸⠆⠀⣹⡆⠀⢸⣿⣿⣿⣿⣿⣿⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠛⠋⠁⠀⠀⡀⠀⣺⣿⣿⣿⣿⣯⣽⡦⠾⢿⠀⠀⡆⠀ ⣿⠀⠀⡼⠀⢠⡟⢻⡀⠀⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢠⣿⣿⣿⣿⣿⣿⣿⣷⡀⡌⠀⢠⠉⠀ ⢻⠀⠀⠁⠀⣼⠁⠀⠹⡦⣼⣿⣿⣿⣿⣿⣿⣿⡷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣶⣶⣾⠀⠀ ⠘⣇⠀⢀⡼⠃⠀⠀⠀⣛⣋⠙⣿⣿⣿⣿⣿⣿⣿⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠐⠻⣿⣿⣿⣿⣿⣿⣿⠏⠁⠈⠀⠀⠀⠀
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