Nene Kusanagi Project Sekai Wonderlands X Showtime Emojis & Text

Copy & Paste Nene Kusanagi Project Sekai Wonderlands X Showtime Emojis & Symbols ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⢄⡀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⡿⢿⣷⣦⣤⡀⠀⣀⣤⣶⣾⣿⠿⠿⠛⠛⠛⠛⠛⠻⠿⢿⣿⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣾⣿⠿⣿⣇⠀⠀⠉⠻⣿⣿⡿⠛⠉⠁⠀⠀⢀⣀⣀⣤⣠⣤⣀⣀⣀⠀⠈⠛⠿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀ ⠀⢠⣿⣷⣦⣹⣿⡀⠀⠀⠀⠈⣿⣷⢀⣠⣴⣶⣿⠿⠿⠛⠛⠛⠛⠛⠛⠿⢿⣷⣦⣤⡈⠻⣿⣿⡛⠿⢿⣿⣶⣤⡄ ⠀⢼⣿⣿⡿⢈⣿⣿⡎⠇⢀⣴⣿⣿⣿⠟⠛⠁⠀⣷⡇⠀⠀⠀⠀⠀⠀⠀⢼⣿⠉⠻⢿⣷⡜⢿⣷⡀⠀⠈⢉⣿⡇ ⠀⠘⣿⣿⣵⣿⠟⠛⢁⢀⣾⣿⣿⠟⠁⠀⠀⠀⠀⢻⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⠇⠀⠀⠻⣿⣜⣿⣇⠀⠀⣾⣿⠃ ⠀⠀⢸⣿⣿⣏⣤⣴⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⣾⣿⠀⠀⠀⠀⠀⠀⠀⣸⣿⠀⠀⢸⣿⡿⣿⣿⣿⣇⣾⡿⠃⠀ ⠀⠀⣠⣿⡿⠛⠛⣿⣷⣿⡏⠀⢠⣤⡄⠀⠀⢀⣾⣿⣿⠀⠀⠀⠀⠀⠀⣠⣿⣿⣦⠀⢸⣿⣿⣻⣿⣿⣿⣿⠁⠀⠀ ⣾⣿⡿⠋⠀⠀⠀⣿⣿⣿⠀⠀⠈⣿⣷⡄⣠⣾⣿⣿⠇⠀⢀⣼⣶⢀⣴⣿⠟⠸⣿⣧⣸⣿⣿⡟⣿⣿⠙⢿⣷⣄⠀ ⠈⠛⠿⣿⣶⡆⠀⠹⣿⡿⠀⠀⠀⣿⡿⣿⡿⣿⣿⡟⣀⣴⣿⣿⣿⣿⡿⠋⠀⠀⠘⣿⣿⣯⣿⡧⣿⣿⣴⣶⣿⡿⠀ ⠀⠀⠀⢰⣿⣇⣤⡄⠉⠁⠀⠀⠀⣿⣧⠀⣴⣿⣿⣾⠿⠛⠹⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠃⠉⣿⣿⡏⠀⠀⠀ ⠀⠀⢠⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢹⣿⣴⣭⡍⠉⠁⠀⠀⢀⣀⠀⠀⠀⠀⠀⣤⣤⣄⠀⣿⣟⠀⢠⣿⣿⣷⠀⠀⠀ ⠀⠀⠈⠉⣹⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⠿⠿⢇⡀⠀⠀⢠⣿⣿⣷⡀⠀⠀⠀⠿⣿⡟⠉⠻⣿⡇⢸⣿⣏⣿⣧⡀⠀ ⠀⠀⠀⣰⣿⣿⣿⣧⣀⣀⣀⣀⣴⣿⠟⠀⠀⠀⠹⡄⣴⣿⣟⣉⣿⣿⡆⠠⠄⠀⠀⠀⣀⣼⣿⣧⣿⣿⣿⣿⣿⣧⠀ ⠀⠀⢰⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣷⣶⣶⣦⣤⣽⣭⣿⣿⣿⣿⣿⣥⣤⣶⣶⣿⣿⣿⣿⣛⣿⣏⣼⣿⣿⣿⣿⠀ ⠀⠀⢸⣿⣿⣾⣿⣿⡟⠛⢻⣿⣿⠟⠁⠀⢹⣿⣫⣭⣿⣿⣿⣿⣿⣿⣯⣙⣿⣇⠀⠙⠿⣿⣟⠻⣿⣿⢿⣿⡿⠁⠀ ⠀⠀⠀⢻⣿⡟⠉⣿⣧⡀⣿⣟⠁⠀⠀⠀⣾⣿⣿⣏⣡⣿⣿⣿⣿⣿⣟⣿⣿⣿⠀⠀⠀⢹⣿⢀⣿⡿⠸⣿⣧⣀⣀ ⢀⣤⣤⣾⡿⠀⠀⢈⣿⣷⣹⣿⣶⣄⣀⡀⢿⣿⠟⢿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⣀⣀⣴⣿⣿⣿⡿⠁⢠⣈⣻⣿⡿ ⠸⣿⣿⣿⣶⠀⠀⠘⠻⠿⠟⠋⠙⠛⣿⡇⠀⠀⠀⢸⣿⣾⡿⢸⣿⣻⣿⠀⠀⠀⣿⡟⠛⠻⠿⠿⠇⠀⠸⣿⣿⠋⠁ ⠀⠀⢀⣿⡇⢴⣶⣶⣶⣶⣶⣶⣶⣾⣿⡇⠀⠀⠀⠘⠿⠟⠀⠈⠻⠿⠿⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠘⣿⣷⠀ ⠀⠀⠀⢿⣿⡼⣿⣦⣤⣄⣠⣤⣤⣤⣿⡇⠀⠀⠀⠀⠀⣾⡿⣿⡆⠀⠀⠀⠀⠀⣿⡇⠀⠀⢀⣴⣷⣶⢀⣴⣿⡟⠀ ⠀⢠⣤⣼⣿⢇⣬⣿⣿⣿⣿⣿⣯⣭⣿⣇⠀⠀⠀⠀⢸⣿⡇⣿⣇⠀⠀⠀⠀⢸⣿⣇⣀⣴⣿⠟⠻⣿⣿⣿⣃⠀⠀ ⠀⠈⠛⠿⠿⠿⠟⠛⠁⠙⢿⣿⠉⠛⠻⣿⣆⠀⢀⣴⣿⡟⠀⠹⣿⣦⡀⠀⢀⣿⡿⠛⠛⠛⠁⠀⠀⠈⠻⠿⠿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠿⠿⠋⠀⠀⠀⠙⠻⠿⠿⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠐⣒⣾⣯⡯⠤⠤⠬⣼⣿⣖⣢⢤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣖⣿⠗⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠶⣭⣶⢆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⣌⠢⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠟⠁⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡱⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣾⡿⠁⠀⠀⠀⣠⡞⠀⢠⠄⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣾⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⡟⠀⠀⠀⠀⣴⣿⠁⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠠⡆⠀⠀⠀⠀⠀⠀⢹⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣼⡿⠃⠀⠀⠀⣰⠏⣿⢀⣿⣧⣀⠀⠀⠀⠀⡄⢀⡇⢀⡿⡇⠀⣿⠀⠀⠀⠀⠀⠀⠀⢿⣷⠀⠀⠀⠀ ⢀⡖⣲⣶⡿⠛⢁⠀⠀⢀⣴⡇⠀⠟⠚⢹⡇⠀⠀⠀⠀⣰⠇⣸⣧⣾⠀⢱⠀⣿⠀⠀⠀⠀⠀⠀⠀⠸⣿⡆⠀⠀⠀ ⠀⠻⢿⣷⣤⣴⡏⠀⠀⢸⣿⣁⣰⣾⣿⣾⣤⡀⠀⠀⠀⠿⠾⢿⡟⠁⠀⠸⠶⠟⣇⠀⠀⠀⠀⠀⠀⢤⣿⣇⠀⠀⠀ ⠀⠀⠀⠉⣿⣿⠀⠀⠀⢸⣿⡿⠛⣟⢙⡿⢿⡛⠀⠀⠀⠀⠀⣤⣷⣿⡶⣦⡄⠀⣿⠀⠀⠀⠀⠠⡄⠈⠻⣿⣧⣄⡀ ⠀⠀⠀⠀⣿⣿⠀⠀⠀⢸⣿⡇⠀⣿⠛⠻⣾⠇⠀⠀⠀⠀⠀⣾⢉⣿⠿⣾⢻⣦⣿⠀⠀⠀⠀⠀⣿⢦⣤⣈⣙⣿⣿ ⠀⠀⠀⠀⠹⣿⡆⣧⠀⠈⣿⡅⠀⠙⠓⠚⠋⠀⠀⠀⠀⠀⠀⢿⡘⠛⢣⡏⢸⠿⡟⠀⠀⣿⠀⠀⣿⠀⣿⡏⠙⠋⠁ ⠀⠀⠀⠀⠀⢻⣿⣜⣆⠀⢹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠶⠛⠁⠀⢰⠃⠀⢰⡟⠀⢀⣏⣼⣿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⣿⣦⡈⢿⣿⣷⣤⣀⡀⠀⠠⣄⣀⠀⠀⠀⠀⠀⠀⢀⣴⡟⠀⢠⡟⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠛⢮⣟⣶⣿⣻⣷⣿⣿⠓⣶⣶⡶⠶⣶⣶⣶⣶⣾⣿⡟⢀⣴⡟⢁⣠⣾⣿⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⣿⣿⣿⣰⣟⠙⠳⠖⣿⠇⢿⣧⣿⣯⣴⣿⣿⣾⣿⡽⠋⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢿⡿⢿⣿⡿⠶⠲⢶⣿⣇⣼⡿⠿⣿⡏⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠋⢸⡇⢈⣿⠁⠀⠀⠀⣿⣿⣏⠀⠀⠹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡁⠀⣿⠁⢀⣿⠦⢤⣤⣤⣿⡇⠹⣦⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⡉⢛⣿⡇⠀⢸⣿⠛⢻⡷⠶⢿⣇⠀⠻⣦⠀⠀⢙⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣈⣿⠿⣿⡗⠀⢸⠿⠀⢸⡇⠀⠘⣿⠀⠀⠹⣧⡶⠛⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠠⣿⡏⠁⣾⣦⣀⣸⣷⣦⡀⣿⡇⠀⠀⢿⣿⡶⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠷⠶⣿⠉⠛⠋⠹⣿⠛⢿⣧⣤⣤⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⢸⣿⠀⠀⠉⣹⡟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⢀⣸⣿⡀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠉⠉⣿⣿⡗⠒⠲⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⢏⣸⡷⡴⣶⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⡄⠰⠶⠖⠛⠛⠻⠶⠶⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣴⡆⠀⠀⠀⠀⠀⠚⠃⢹⣿⣇⣀⡑⠦⠀⢀⣀⣀⠀⠀⠀⢰⣿⡶⢠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⣤⡀⠀⣤⣤⢸⣿⣿⠀⣰⣾⡿⣿⣿⡀⢸⣿⡿⣿⣿⡆⢰⣿⡿⢿⣿⡿⢀⣿⣿⣧⣌⠙⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠻⣿⣿⣦⣿⣿⣿⣿⣿⠀⢿⣿⣤⣿⣿⣧⢸⣿⡇⠸⣿⣷⠼⣿⣷⣾⣿⣇⣸⣿⡟⢻⣿⡇⢠⣴⣶⣶⣄⣀⠀⢀⣤⣄⠀ ⠀⠘⢻⣿⣿⣿⢻⣿⠿⢀⢈⡙⠛⠋⠉⠋⢈⡉⠁⣀⢌⡁⠀⢌⡉⠉⠛⠁⠛⠻⠃⠸⣿⡧⢿⣿⡋⣽⣿⡟⠀⣼⣿⡿⠀ ⠀⠀⠀⠙⠛⠋⢀⣤⡶⡋⠀⠀⠀⠀⢀⣾⡟⢀⣼⠃⠀⠀⠀⠀⠀⠀⠀⣸⡀⢆⠀⡢⠀⠀⡈⠻⠿⣿⣿⢀⣼⡿⠟⠀⠀ ⠀⠀⣀⣀⣀⣤⡾⢋⡴⠃⠀⠀⠀⣠⡿⣿⠀⣾⠇⠀⠀⠀⠀⠀⠀⢰⢀⡿⣇⢸⡆⠈⠀⠀⠈⢷⠀⢤⣅⠙⠿⠏⠀⠀⠀ ⠀⠀⠻⢿⣿⣿⣶⡾⠁⠀⠀⠀⣰⠏⢰⣇⣼⡏⠀⠀⠀⠀⠀⢀⣴⢟⡞⠀⣿⢸⣧⠀⠀⠀⠀⠘⣆⢸⣿⡄⡀⠀⠀⠀⡄ ⠀⠀⠀⠀⣾⣿⡿⠁⠀⢠⡆⢠⣏⣠⣬⣾⣿⣧⣠⣀⣀⣤⢖⣿⣫⣾⡅⠀⣿⢸⣿⠀⠀⢀⡀⠀⠹⣾⣿⡇⠙⠈⠉⠀⠀ ⠀⠀⠀⠀⣿⣿⣷⠀⠀⣸⡷⣾⣿⢋⡽⢿⣿⣿⡗⠀⠈⠀⢨⣭⣿⣿⣶⣶⣌⠈⢹⡆⠀⠀⢻⣦⣀⠙⢿⣇⠀⠦⠅⠰⠀ ⠀⠀⠀⠀⣿⣿⡿⠀⠀⣟⢹⡿⣇⢸⣿⠿⢿⣿⠇⠀⠀⠀⠀⠛⡕⢻⣿⣿⣿⣿⣺⡇⠀⠀⣦⣿⣿⣿⣶⣿⠿⠆⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⣷⠀⢠⣿⣿⠀⢈⠈⠳⠦⠾⠋⠀⠀⠀⠀⠀⠰⣿⠿⠿⣛⣇⣿⢿⡏⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣿⡆⠸⣿⣧⠀⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠦⠤⠟⠛⠁⢸⠁⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠦⠀⠐⠀⠀⠈⢻⣦⣿⣿⣧⣀⠀⠀⠀⣿⠏⠙⠛⠒⠒⠶⣶⠀⠋⠚⠀⠀⠀⡟⠁⠀⢰⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡀⠀⠙⠻⠇⠈⠛⠷⣦⣤⣘⣧⣀⠀⠀⠀⣀⡾⠀⠀⣀⣠⣤⣾⠃⠀⣠⣾⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⢆⠴⠊⠀⠀⠀⠀⠀⠀⠀⠀⢀⣭⣿⣿⣿⣿⣟⣻⣿⣿⠛⠛⠛⢿⣿⣃⣤⡶⢿⣿⣿⠟⠸⡿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠀⢢⠀⠀⠀⠀⣠⡾⠛⣩⣿⣿⣿⣿⣿⣿⡿⠿⣷⡀⠀⠛⠛⠋⠁⠀⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠓⠀⠁⠀⠀⠀⠀⣿⡀⣾⣿⣿⣿⣿⣿⣿⣽⣷⡄⠈⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⢿⣿⣿⢻⣟⣿⠿⣻⣿⣅⣀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠉⠉⠈⠉⠉⠈⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡤⠤⠤⢤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡤⠖⠛⠉⡁⠀⠀⠀⠀⠀⠀⠈⠉⠙⠲⢦⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⡞⠋⠀⠀⢀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣤⡀⠀⠀⠀⠀ ⠀⠀⠀⢀⡾⠃⠀⠀⠀⠀⢸⡅⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠈⢳⣄⠀⠀⠀ ⠀⠀⠀⡾⠁⢀⡴⠂⠀⣠⠈⣇⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡀⠹⡆⠀⠀ ⠀⠀⣸⡇⢀⡞⠁⢀⡼⣻⠀⠘⢆⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡄⣻⠀⠀ ⠀⠀⣿⡛⡱⠀⣠⡟⠋⢻⠂⠀⠀⠓⠕⣄⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⢸⡺⡇⠀ ⠀⠀⣿⡇⡇⣴⡿⠁⢄⡘⣆⠀⠀⠀⢸⢮⠁⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⣇⡇⠀ ⠀⠀⢿⡿⣁⣏⣤⣤⣀⠹⢿⣆⢰⡀⢸⣏⡷⣄⣀⠰⡀⠀⡇⠀⠀⠀⠀⠀⠀⢸⡇⠀ ⠀⢀⣾⣠⣿⣿⢹⣟⢿⡿⣯⡛⢿⣷⡜⡟⠯⣍⣳⣦⡱⣀⢸⠀⠀⡄⠀⠈⡄⠘⣇⠀ ⠰⠿⠟⢻⣽⡇⠘⣧⣈⣱⡏⠁⠀⠉⠙⠷⢿⢻⣿⡿⣿⢯⢸⠀⣸⣷⠀⢰⣿⣄⣻⣀ ⠀⠀⠀⠀⣿⡇⠀⠀⠉⠋⠀⠀⠀⠀⠀⠀⠘⣿⣉⣵⡿⢘⣯⣶⡟⢹⢧⣼⠋⠈⠉⠙ ⠀⠀⠀⠀⠚⠻⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⢠⡿⢟⠿⣡⣼⡼⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢻⣷⣦⣄⣘⣓⠦⠴⠂⠀⠀⣀⣀⣤⣾⣿⣿⡟⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠉⠁⣹⡟⣟⣻⣿⠛⣽⡿⣿⡟⠁⠛⠏⠛⠷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⢣⢻⣿⣿⡿⣷⡁⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡟⠀⡇⠈⢯⡿⣫⠞⠀⢳⡀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡼⣇⢀⣼⡇⠀⢰⢻⠇⠀⠀⠀⣳⡨⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡟⠳⣬⡟⣼⣳⠄⢸⢸⠀⠀⢠⠤⠞⣿⡄⢘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠳⠞⠛⢠⡿⢤⣀⡼⡸⡄⠀⠘⢈⡠⢽⣻⣅⠼⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣦⣼⣽⣷⣱⣀⣀⣠⣤⣾⠛⠓⠦⠿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⡄⠀⠙⣿⠋⠉⠀⠙⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⣿⣆⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⡇⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣶⣶⣶⡟⢷⣤⣠⣤⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠘⠻⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠢⣍⠲⣍⢣⡝⡲⡄⢀⠀⠣⢘⢯⣿⣻⡽⣏⣿⣽⣻⣽⣿⣭⡹⣎⢿⡿⣝⢮⣓⢻⡜⣩⣞⣏⢧⡹⡆⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡹⢯⡝⡾⣩⠷⣭⢫⡽⣹⢏⣿⣹⢯⣟⡿⣽⢻⣟⡿⣿⣻⠿⣽⢏⡿⣽⣻⢽⣻⠇⠰⠠⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠧⢃⢠⡗⠃⢸⡜⡐⢤ ⠱⢌⠳⣌⠳⣜⢣⠓⡄⠀⠀⢃⠎⣼⣷⣻⣽⡶⣧⣻⢼⣎⢷⣳⡽⣎⢿⣻⡮⣽⣎⠶⡿⢤⡛⣶⡱⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⢱⡹⣞⡽⣳⢛⣼⡹⣞⣵⣻⢮⢷⣛⣾⢳⡯⡿⣼⣛⡷⢯⡿⣽⣫⡽⣶⢯⠷⣭⠐⡇⢃⠁⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠂⣱⠳⣆⠠⡙⢂⣽⢺ ⠀⠂⠀⠀⠁⠂⠂⠡⠄⠐⠀⠀⢘⡖⣻⣷⣳⢿⢧⣯⢻⡼⣏⡾⣵⢯⣏⡽⣟⠶⣭⢻⡕⡮⣕⢫⢷⡩⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢣⢝⡶⣭⣛⠶⣳⠹⣦⣛⢮⣻⡼⢧⡿⣜⣳⣝⣮⡽⣯⣻⣵⣣⣟⣼⢯⣟⡦⢘⣐⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡱⣛⡌⢓⢈⣞⢧⣏ ⠀⠄⡀⢀⠀⠀⠀⠀⠀⢀⠀⢀⢀⢾⡹⣿⣧⢿⡾⣼⢧⡿⣼⣳⣭⢞⡮⣝⣻⣿⢜⣧⢻⡼⢬⣓⢎⡷⣭⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠈⠁⠀⠈⠁⠀⠈⠉⠛⠛⠛⠻⠷⢿⢷⣧⣿⣦⣝⢧⣳⣛⢯⡽⣏⠿⣜⣳⢿⣹⢻⡞⣧⢟⣮⣛⠾⡅⢫⠄⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠲⡝⡶⢃⡴⢯⠙⣺⡼ ⣟⣳⡽⣶⢻⣼⣳⣼⡲⢦⡞⣼⣮⣳⣷⣹⣿⣯⢟⣮⢿⣽⣳⣯⢿⡸⣷⡩⢗⣯⣟⡼⣣⡝⡶⣉⣞⣶⣧⣿⠶⠟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡈⠠⢌⡉⠛⠳⠷⣮⣗⡳⣭⢟⢾⡱⣏⡞⣧⢻⡜⣯⢖⣭⢛⡅⠲⡈⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡟⢠⠳⡙⢡⡼⡹⡉⢧⢈⢿ ⣟⣷⣻⣽⣻⣞⡷⣯⢿⣿⣿⢻⣜⣧⢿⣧⢿⣯⣟⢾⣹⣞⡷⢯⣟⡿⣇⠿⣩⢞⣿⡜⣧⣻⣶⡿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠦⣉⠲⢶⣄⣈⠙⠻⢶⣯⡞⣽⡹⣞⡵⣫⡞⡵⣎⠷⣫⠆⠱⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠋⠀⢘⠆⢡⣾⡑⠡⡅⠈⣇⢚ ⡽⢶⣹⢮⣗⣯⣻⡝⣿⠿⣞⣧⡟⣼⣫⢿⣎⣿⣞⣯⢧⣻⣽⢻⡽⡾⣭⢏⡕⠮⣷⣿⠿⠋⠁⠀⠀⢀⣤⠖⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠐⢤⡀⠉⠑⢦⣀⠉⠻⢷⣷⢬⡓⢷⡻⣕⠯⢾⣱⡋⢄⠃⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠃⠀⠀⣨⣴⣯⠳⡇⢂⢧⣡⣘⣆ ⠩⢇⡙⢪⡙⠲⣍⣻⣍⣻⣽⣾⣿⢷⡽⣞⣷⣾⣿⣎⡟⣖⣻⢯⡽⣳⡻⣮⣼⠟⠋⠁⠀⠀⠀⣠⠞⠋⠁⠀⠀⠀⠀⠀⣠⠆⠀⠀⠀⣰⠏⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠙⣆⠀⠀⠈⠳⣤⡀⠈⠻⢾⣥⣛⡼⢫⣓⢧⡓⡈⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⢁⡄⢀⢜⣿⡟⡼⣇⠣⡘⢞⡶⣼⡼ ⠀⠀⠀⠀⠀⠀⠀⣈⣈⣉⣉⣉⡉⠉⠛⠛⣎⠿⣹⣿⡞⣵⢫⣿⣺⣵⣿⠛⠁⠀⠀⠀⠀⢠⡾⠋⠀⢀⠀⢀⠂⠀⣀⣴⣿⠀⠐⢂⡾⠁⠈⠀⠀⠀⠈⡄⠀⠀⠀⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⠀⠈⢧⠀⠀⠀⠈⢻⣦⡀⠀⠙⠻⣾⣇⡻⢎⢷⠁⡄⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠋⠀⠀⢳⣨⣾⣟⡼⣓⠿⣧⢈⢿⣱⢿⡼ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⣿⢷⡀⠹⣆⢣⢿⣿⣜⡳⣾⡿⠋⠀⠀⠀⠀⠀⢀⡴⠋⢀⠀⢂⠄⣁⣦⡼⠶⣿⠏⠀⠀⣠⡿⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠈⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠈⣧⠀⠀⠀⠀⠙⣿⣆⠀⠀⠀⠻⡛⢿⣾⡄⠈⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠁⠀⠀⣴⣻⣿⡉⢾⣱⢯⣻⡽⣆⠎⠙⠛⠚ ⠛⠲⣤⣀⡐⠀⠠⠁⡘⠤⡁⢃⠆⡘⢻⣷⠀⢻⡈⠞⣿⣷⠟⠋⠀⠀⠀⠀⠀⠀⠠⠟⠀⠀⣀⣤⠶⢰⡟⠁⠀⢠⡏⠀⠀⣴⣿⠁⠀⠄⠀⠀⠀⠀⠀⠺⣇⠀⠀⠀⠀⢱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢇⠀⠹⣧⠀⠀⢳⡀⠈⠻⣷⡄⠀⠀⠙⢦⡈⠹⢦⣐⠀⠀⠀⠀⠀⠀⠀⢀⣼⠟⠠⡀⠀⢾⣽⡿⠙⢧⢹⣯⢞⡵⡇⢽⡆⠈⠀⠀ ⠶⣤⡀⠈⠙⠶⣄⡀⠰⠁⠜⡠⢌⡐⠈⠟⣇⠘⣧⣛⡾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢼⠋⠁⢰⡿⠀⠀⣠⡟⠀⠀⣼⣿⡇⠀⣼⠃⢠⣤⣤⣤⣤⡜⢿⣤⠄⢄⡀⠄⢷⣤⣤⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⢿⣧⠀⠀⢳⡀⠀⠹⣿⣦⠀⠀⠀⠙⢦⡀⠙⠳⣄⡀⠀⠀⠀⢠⣾⠃⠀⠀⢓⣨⣿⠏⠀⠀⠸⣏⢿⣟⡾⣇⢣⡙⡄⠀⠀ ⠀⠀⠙⠳⣤⡀⠈⠙⢦⡀⠂⡐⢂⠔⠡⠈⣽⡄⢸⠟⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢠⡏⠀⢀⣿⠇⠀⣀⣿⠁⣠⢶⣿⣿⢂⣾⢃⡜⢠⢀⠢⢄⢼⡇⢾⣷⢌⠦⡘⡌⠶⡐⡎⣝⣻⣿⡛⢯⢟⡻⢻⢶⣶⢾⣿⢦⣄⣀⣳⡀⠀⠻⣿⣷⡀⠀⠀⠀⠙⢦⡤⣈⠛⣦⡀⣰⠟⠀⠀⠀⣴⣼⣿⡍⠀⠀⠀⠀⣿⡎⢿⣞⡇⡜⠄⠑⡀⠀ ⠀⠀⠀⠀⠀⠙⢦⡀⠀⠙⢦⡀⠂⠌⡑⢀⣺⡿⠋⠀⠀⠀⠀⠀⠀⠀⠆⠀⣼⠈⠀⢀⣿⠁⣀⣾⣿⢀⡾⣽⡯⣁⣲⡿⣿⣿⢸⡏⠴⣌⠢⢬⢑⠺⣜⣯⢸⣿⣞⠰⣍⡜⢧⡱⡝⣦⢽⣿⡜⢧⢮⢵⣋⠾⣿⣫⣿⡯⡼⣿⣹⢛⣓⠶⣿⣿⣷⡄⠀⠀⠀⠈⠳⣌⠲⣄⠹⣟⡠⣆⠀⢈⣶⠟⠀⢷⠀⠀⠀⡀⣿⢿⡜⣯⡇⡜⢧⣤⣱⡀ ⠀⠀⠀⠂⠁⠀⠌⢹⡄⠀⠈⢷⡄⠐⢸⡾⠋⠀⠀⠀⡀⠀⠀⠀⠀⡀⠀⣼⡟⠀⢠⣿⣷⠚⡭⣹⣏⢲⢰⣿⠓⣤⡿⣹⢻⣿⢸⡏⡔⢢⡑⣊⠆⡳⢸⣿⡸⢽⣯⢳⡜⣜⢣⢳⣙⢦⡻⢾⣹⣚⠮⣖⣭⡛⣽⡗⣿⣿⣱⢻⣧⡻⣌⡳⡜⣿⣿⡟⢲⢦⣤⣀⠀⠙⣦⡚⠳⡄⠹⣼⣤⡿⠋⠀⠀⠘⣧⠀⠠⠀⣿⢯⣿⡜⣧⢊⣿⢶⡶⣯ ⠀⢀⠂⠠⢀⠁⠀⢂⠻⣆⠀⠉⢻⣷⠟⠀⠀⠀⠀⢠⠁⠀⠀⠀⣠⠇⢠⡟⠀⢀⣿⣿⢣⠘⣥⣿⠰⡚⣼⡯⢡⣿⣷⠡⣻⣿⢸⡧⣍⠣⠴⡑⢎⡱⢭⣿⢖⣹⣿⡇⢾⡬⢳⡭⢞⣣⢟⣽⣣⢞⡽⣚⡴⣹⢞⣿⢼⣿⣭⣛⣿⡷⣭⢳⡼⣹⢿⣿⡆⠤⢠⡉⠻⣆⠈⢷⡀⠀⢲⣌⢻⡄⠀⠀⠀⠀⠘⣧⠀⠐⣿⣳⢞⣷⡝⣜⣺⢯⡿⣽ ⠀⢀⠂⡐⢠⠈⠠⠀⣃⠝⡻⢷⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠟⡆⠀⣼⣿⡿⡀⠯⣴⡏⠔⢣⣿⢇⣿⣿⠇⠀⣿⣿⣽⡗⡬⢓⡹⣘⢣⢣⡹⣿⢎⣸⣿⣟⢦⣙⡳⢎⡽⣚⠼⣺⡵⢎⡷⣋⢾⡱⢯⣿⢺⣿⡷⣭⢿⣿⡗⣯⢽⣧⠿⣿⣿⡘⣄⢻⡄⠈⢧⠀⢳⣄⣾⠟⠀⠹⣆⠀⠀⠀⠀⠸⣆⠀⣿⡽⣞⡿⣿⡐⡉⠉⠛⠛ ⠄⠂⠔⠀⢢⠀⠄⠃⠄⠈⣰⡟⠁⡰⠀⠀⠀⠀⠀⠂⠀⠀⠀⣾⠁⠀⠀⠀⠠⢼⣻⡧⣁⠗⣿⢡⢋⣼⣿⣿⣿⠃⠀⠀⢻⣿⣿⣿⢘⠥⡓⣌⢣⢃⡗⣿⡇⣼⣿⡿⢬⢧⣙⠮⡜⣥⢻⣽⣓⢯⠖⡭⢾⡝⣎⣿⣹⣿⣿⡜⣿⣿⣿⢮⣳⢿⣛⣿⣿⡷⣌⢂⢿⡄⠈⢳⡀⠹⡇⠀⠀⠀⢸⡆⠀⠀⠈⠀⢹⡄⣿⡿⣽⣻⡇⣷⡀⠀⠀⣠ ⡊⣁⠂⡈⠔⡈⢠⠁⠂⣼⠏⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⢱⡏⠀⠀⡘⠀⠀⣏⣿⠅⣏⢸⡟⡠⢃⣿⣿⣿⠃⠀⠀⣀⣨⣿⣿⣿⣮⣶⣽⣤⣧⣭⡘⣿⡗⣾⣷⣿⢣⡗⣜⢫⡜⣥⡿⣿⢮⣙⡏⣜⣿⡹⢦⣿⢸⣿⣷⡹⢿⣿⣿⣟⡼⣻⣿⢼⣿⣿⡜⣌⢻⣷⡀⠌⢳⡄⢻⡄⠀⠀⠈⢷⡀⠀⠁⠀⠀⢻⡼⣿⣿⣽⡧⣹⢷⠀⣴⣳ ⠔⡀⠆⡐⢌⠐⠀⠐⣸⠃⠀⣰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠁⠠⢁⣮⣿⠈⡵⣺⡏⢔⣻⣿⣿⣃⡤⠶⠛⠉⠉⠹⣿⣿⣇⢦⢣⢭⡙⢻⢿⣿⣿⡟⣻⣽⡆⡿⡌⢷⡸⠴⣻⣿⢣⢚⡴⢋⡿⡜⣱⣿⣹⣿⣷⠹⣿⣿⣿⣿⣜⢧⢿⣏⣿⣿⣟⡴⢻⡎⢷⡐⡆⢹⡄⢻⡄⢀⠀⡈⣷⠀⠀⠀⠀⠰⣷⡿⣿⣾⡧⢽⣠⢻⣾⡟ ⠐⡐⠠⠌⡐⡈⠀⡌⠁⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠀⠀⠀⠀⢂⠌⣾⡷⠈⡵⣿⡃⣾⣽⣿⠋⠁⠀⠀⠀⠀⠀⠀⠹⣿⣿⡸⣂⠧⡙⣆⢣⣿⣿⡇⢸⣿⣧⣿⢘⢧⡚⣱⣿⡟⣢⢣⣹⢾⡗⣩⢼⣿⣿⣿⣏⠳⣿⠏⣿⣿⣏⢮⢿⣟⣾⣿⣿⣜⣻⡏⡜⣷⢹⡀⠹⡄⢻⡄⠂⠀⠘⣧⠀⠀⠀⠀⣿⣷⣻⣿⡗⡵⣱⣿⣧⣀ ⠀⠀⢃⠐⡀⠐⡰⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⢀⠈⠄⠢⣽⣇⠃⣶⣿⡱⢃⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣷⢯⡌⡱⢢⣾⣿⣾⠀⠘⣿⣷⣯⢘⡞⣌⣿⣿⠳⡰⢣⡜⣿⡓⢬⣾⣿⣷⣿⠿⡿⣿⢿⣿⣿⣟⢮⣽⣿⣼⣿⣿⡞⣼⣷⡹⢼⣏⣷⠀⠹⡎⢳⡄⠀⠀⠙⣧⠐⠀⢀⣿⣿⣧⠻⢮⣿⣿⣷⡻⣥ ⠀⠈⠄⠐⠀⡠⠁⠀⢀⡾⠀⠀⠀⠀⠀⣄⠀⠀⠀⡀⠀⣟⡅⠀⠀⠀⡌⢠⠁⣿⣇⠩⣇⣿⡱⢹⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡧⣑⣢⡿⠻⠏⠀⢘⣿⣿⡇⣇⢚⣼⣿⡟⡰⢥⠳⣽⡿⠸⣼⣿⡿⢁⣿⡓⣸⡏⠘⠘⣿⡿⣷⣾⣿⣞⣿⣿⡝⣶⣿⣱⣋⢿⣸⣇⠆⢻⡄⢻⣤⠀⠀⠹⣧⠀⣰⣿⣿⠫⣽⢿⡟⣿⢽⣱⣳ ⠀⠀⢈⠠⠐⠀⠀⠀⣼⢣⠀⠀⠀⠀⠀⣿⠀⠀⠀⠇⠀⡯⡆⠀⠀⠀⡐⠂⠌⣿⡇⡚⡥⣿⠡⣿⠃⠀⠀⠀⢀⣀⡤⢶⣒⣂⣀⣀⡀⢛⣿⣿⣿⠛⠀⠀⠀⠀⠰⣿⣿⣱⣼⣾⣿⡿⢂⢱⡌⣳⣿⢣⢫⣟⣿⠁⢸⡟⢠⡟⠀⠀⠀⣿⡯⢵⣿⣿⣿⣿⣾⡟⡼⣿⣲⣙⢾⣇⢿⡐⢢⡿⡄⢿⣳⠀⠀⠹⣆⢸⣟⢭⣾⣿⣧⡿⣩⢞⣼⠟ ⠀⠀⠀⢠⠁⠀⠀⢸⢇⡆⠀⠀⠀⠀⠀⢻⠀⠀⠀⢄⠀⡗⣿⠀⠈⠀⠔⡩⢈⣿⡧⡑⢣⣿⢡⡿⠀⠀⠀⣊⣽⣶⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠙⠳⠀⠀⠀⠀⠀⠛⠋⠉⠁⠙⠉⠛⠛⠛⠻⢿⣏⣖⡿⠹⠃⠀⠺⣿⠟⠁⠀⠀⠀⣿⡗⣸⠟⣿⣿⣿⣽⣯⢳⣿⡱⣏⢾⣿⢸⣯⡑⢷⡝⠈⣿⢧⠀⠀⢻⡎⢿⣿⣿⣿⡏⢶⣹⠞⠃⠤ ⢀⡀⢀⡀⢀⠀⠀⠁⢈⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⢸⡄⣟⣿⠀⠠⠀⣂⠱⢨⣿⡗⣩⢸⣿⢸⡷⠶⣶⣾⣿⡿⠟⠉⣉⣤⣬⣥⣬⣍⠙⠻⢿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⣀⣤⣤⠤⠀⠀⠀⠀⠿⣷⠿⢘⣿⣿⣿⣻⣷⣫⣿⡵⣫⢞⣿⡌⣿⡔⡈⣿⣄⠘⣯⣇⢀⢼⡷⠘⣿⡿⣓⣞⣿⣋⠤⣀⣴ ⠀⠀⠀⢀⠀⠀⠀⢀⡀⠀⠀⠀⠀⢠⠀⠀⣿⠀⠀⠈⣷⣯⢾⡄⢘⠀⢡⠂⠱⣿⣏⠴⣸⣿⣿⣧⣾⣿⡿⠉⡤⣴⣿⢿⣻⣟⣿⡟⠉⠻⣄⠒⢙⢿⣏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢏⣁⣤⣤⣤⣤⡒⠀⠀⠀⠀⢸⢿⢿⣿⣿⣷⣻⡿⡼⢧⣛⣿⡆⢽⣷⡡⠇⣿⣷⡈⠻⣿⣿⢿⣀⢹⣗⣳⣾⣿⣿⣿⣿⣾ ⡐⡼⠀⢠⡁⢎⠁⠠⠀⠀⠀⠀⢀⡟⠀⠰⢹⣇⠀⠀⢻⣿⣾⣇⠀⠂⠇⡘⠰⣿⣟⠲⠷⣿⣿⣿⣿⡟⠀⠘⣹⣿⢿⣯⢳⡻⢷⣷⣄⠀⢸⡇⠘⠐⠻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣾⣿⣿⣿⣛⠿⠿⣿⣷⣄⠀⠀⠊⠀⠸⣿⣿⡷⣿⣿⡹⣏⢾⣽⣏⢼⣿⣇⢳⡹⣿⣿⣧⡈⠳⣼⡀⠘⣿⣿⡽⣾⣯⣿⣟⣿ ⢠⠅⠀⠀⠐⡂⠀⡇⠀⠀⠀⠀⡼⠁⠀⠀⢿⣿⡆⠀⠸⣿⡷⣿⠀⠂⠇⡌⢳⣻⣿⡘⣘⣿⣿⡜⢿⣧⠀⠀⣿⣷⣴⣯⢷⣿⣗⣮⠽⣿⣿⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣷⣾⣿⡶⣦⡉⠈⢻⣿⣷⡀⠀⠀⠰⣿⣿⣿⣿⢧⡟⣼⢫⣾⡿⡌⣿⣯⢎⣷⢻⣿⣻⡽⣷⣼⡇⠀⡛⠓⢫⡟⠷⠿⣞⣿ ⠈⠀⠀⠁⠈⠀⠀⠄⠀⡀⠀⡼⠃⠀⠀⠀⠈⣿⣻⡄⠀⠘⣿⣻⡇⠐⣃⠜⣸⢹⣿⡇⢆⢿⣿⣇⠈⢻⣄⠀⣿⣷⣺⡷⠻⠿⠛⢿⣿⣹⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⡀⠀⠀⠀⠀⠀⢀⡿⣿⣿⣿⣿⣻⡀⠀⢹⡆⠈⠻⣿⣿⡀⠀⢀⣿⣿⣿⣿⢫⣞⣭⢳⣿⣿⡱⣿⣿⣎⠼⣧⢿⡻⣷⣧⣻⠇⢱⣄⠐⠋⠀⠀⡴⠋⠀ ⠄⠈⣄⡀⡖⠀⡴⠂⠀⣀⡾⠁⠀⠀⠀⠀⠀⢸⣏⢿⣆⠀⠹⣿⣧⠘⡤⡘⠤⢻⣿⡯⢜⢺⣿⣿⠀⠀⠉⠃⠘⢿⡇⠙⢧⣌⣠⡼⠻⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠄⠀⠀⠀⠀⠀⠀⣸⣿⣿⣼⣿⣯⣟⡷⣦⣤⣇⠀⠐⢻⣿⣿⠶⣾⣿⣿⣿⢯⠷⣞⠾⣭⣿⣿⡱⣿⣿⣯⡚⣽⡜⣷⠈⠙⣿⠈⣰⣿⡛⠒⠀⠀⠀⠀⠀ ⠀⢸⣳⢿⠁⣾⡳⠀⣴⠋⠀⠀⠀⣼⠁⠀⠀⠈⣿⢎⡿⣦⠀⠹⣿⢇⡰⢡⠊⡝⢿⣿⣌⠺⣿⣿⣧⠀⠀⠀⠀⠈⠳⣤⣄⣈⣁⣤⣴⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠐⠀⠀⠀⠉⣿⣯⡿⣿⣿⣾⣽⡻⣿⣿⠀⠀⢸⣿⣿⣴⣿⣿⣿⣟⢯⡟⣮⢻⣼⣿⣿⣱⣿⣟⣿⡗⡬⣿⢸⣷⣰⢏⢰⣟⠀⢉⣵⠊⠂⢰⡆⠂ ⠀⠸⣽⡏⢠⣷⡿⠋⠀⠀⠀⠀⡼⢹⠀⠀⠀⠀⠸⣧⣛⡽⣷⣄⠹⣧⠓⣌⢣⢘⠹⣿⣧⠣⢿⣾⠹⣦⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠠⠀⠀⠀⠀⠀⠀⠀⢿⡃⠷⣍⣥⣯⢷⣿⣿⠇⠀⠠⣼⣿⣿⣿⣿⣿⣿⣛⣮⢽⣚⣷⣿⣿⡟⣾⣯⣿⣻⣿⠴⣹⡄⣿⢿⣳⠏⠹⣴⠍⠀⠀⡴⠋⠀⢀ ⠀⠰⠿⠾⠟⠁⠀⠀⠀⠀⣠⠞⠁⠈⠀⠀⠀⠀⠀⢹⣮⢳⡿⣿⣦⡘⢷⣈⠖⡌⡓⢿⣿⡧⣹⣿⡁⠘⢧⡀⠀⠀⠀⠄⠂⠠⠀⠄⠁⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠠⠀⠀⠘⢿⣇⣈⢡⡤⢠⣿⡏⠀⣠⠾⠛⠀⣸⣿⣿⣿⣳⡝⣮⣳⣝⣾⣿⣿⣹⣟⠾⣽⡿⣿⣇⢓⣿⣿⣷⣿⣦⠀⠁⠆⣠⠘⠀⢀⡰⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠃⠀⠀⠀⢂⠀⠀⠀⠀⠀⢻⣧⡟⣿⣿⣷⣮⠻⣶⢌⡹⡘⣿⣷⡡⢿⡇⠀⠀⠛⣆⠀⠀⠀⠂⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⢀⡄⠀⠀⠂⠀⠀⠈⠙⠛⠶⠿⠋⠴⠚⠁⠀⠀⣰⣿⣿⣿⣛⡶⣫⢗⣳⣾⣿⣻⣧⣿⣝⣫⢿⣿⢿⣧⣿⣿⠛⣿⣷⣿⣳⡀⠀⢃⠀⠀⠞⠁⠀ ⠀⠀⠀⠀⠀⠀⢀⡞⠉⢸⡆⠀⠀⠀⠈⡆⠀⠀⠀⠀⢸⣷⢻⣽⣷⣯⢿⣿⣾⣻⣴⢭⡹⣿⣷⠩⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠐⠈⡀⠂⠄⠠⠀⠄⡀⠀⠐⠀⠀⣽⣿⣿⢧⡻⣼⢣⣿⣾⣿⣳⣿⣿⣿⢞⣬⢻⣿⣿⣿⡋⠔⡆⣿⢿⡿⣷⣝⠄⠀⠴⠁⠀⣠⠞ ⠰⢂⠀⠀⠐⠀⠈⡇⠀⠈⣇⠀⠀⠀⠀⣇⠀⠀⠀⠀⠈⢿⡆⠻⣿⣯⣟⣾⣿⣿⢿⣷⣧⣻⣿⣟⡼⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠌⠀⠂⠄⠐⢈⠀⠀⢱⣿⣿⢽⢺⡵⣫⣿⣿⣻⣷⣿⢿⣳⣿⣯⢾⢿⣿⣟⣿⡆⢹⡇⣸⡜⢿⡽⣿⡆⠀⠀⢀⠐⢅⡘ ⠐⢡⠢⠀⠀⡈⠀⡃⠀⠀⢽⡀⠀⠀⠀⣿⠀⠀⠀⢰⠀⢈⣿⡄⠙⢻⣿⣞⡳⣿⣿⣾⣹⠿⣿⣿⣶⣽⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣤⣦⣶⣶⣶⣶⣶⣦⣴⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠌⠀⠂⠁⠀⠈⠀⣼⡿⣝⢮⢷⣽⣿⡿⣿⣿⢿⡽⣯⡷⣿⣯⠝⡦⣿⣿⣽⡧⢈⡷⣽⡆⠘⣿⣿⣿⡀⠀⢋⠴⣸⣾ ⠈⠄⠒⠀⢀⠀⠀⡁⠀⠀⠘⣇⠀⠀⠀⢸⡄⠀⠀⠘⡇⠀⢹⣿⡄⠘⢻⣿⣷⡩⢙⠿⣿⣿⣞⣿⣿⣿⣻⣷⠒⠒⠠⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⢿⣿⢿⣿⣿⣿⣻⣿⣻⣿⣿⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⡿⣱⣯⣾⣿⡿⣽⣻⢿⣽⢯⣟⡷⣟⣿⡿⢬⡱⣿⣿⣞⣿⠀⣿⢸⣿⡀⠸⣿⣿⣷⠀⢈⡿⠉⠀ ⠈⠄⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⣧⠀⠀⠀⢹⡄⠀⢻⣿⡄⠌⢿⣿⣷⡃⢎⡱⢻⣟⡻⣿⣿⣷⣾⣧⡀⠀⠀⠀⠀⠀⠀⣿⣿⠿⣭⢷⣯⣾⠾⡟⢾⡛⢯⡛⢿⠻⢿⣷⣿⣾⡿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⣤⣾⣿⣷⣿⣿⣟⣯⡷⣟⣯⣟⡿⣾⣻⣽⣻⣽⢾⣟⠦⣹⣿⣿⣞⣿⢀⣿⢾⣿⣿⡄⢿⣿⡿⠗⠋⠀⠀⠀ ⠀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠰⡸⣧⠀⠀⠀⢸⡆⠀⠀⠀⢷⡀⠈⣻⣿⡄⡘⢿⣿⣿⡜⢲⡩⢿⣖⢥⢻⣷⡻⣯⣿⣄⠀⠀⠀⠀⠀⢻⣿⣿⠟⣏⠳⣌⢳⡙⢦⡙⢦⡙⣎⠇⣧⢪⠝⣷⣿⣯⢿⣿⡏⠀⠀⠀⠀⠀⠀⠶⣟⣭⣵⢾⣿⣿⣳⣯⢿⣽⣻⣽⢾⣻⢷⣯⢷⣯⣟⡿⣿⡘⣼⣿⣿⣞⣿⢨⣯⣿⣿⣿⡇⢸⠋⠀⠀⠀⠀⠀⣼ ⠀⠐⠀⠀⠀⠀⠀⠀⠄⠀⠀⠁⢿⣇⠀⠀⠀⢷⡄⠀⠀⠈⢧⠀⠸⣹⣿⣄⠙⣿⣿⣿⣥⠚⣬⢻⣮⢇⡻⣷⡍⢻⣯⢷⡀⠀⠀⠀⠀⢿⡱⣍⠮⣱⢪⠱⢎⢧⡙⡖⣩⠖⡭⣒⢥⡛⡴⢻⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⢷⣯⣟⡿⣞⣯⣟⣯⡿⣿⣞⡿⣾⣽⣻⡗⡥⣿⣿⡿⣽⣿⢾⣿⣿⣿⢿⣷⢸⠀⠀⠀⠀⢀⣼⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠈⣿⡄⠀⠀⠸⣿⡄⠀⠀⠘⣧⠀⢻⡻⣿⣆⠹⣿⣿⣿⣏⡆⢏⠽⣾⡱⠻⣷⡄⠈⠿⣿⣦⡀⠀⠀⠈⢿⣔⢣⢥⢣⡛⡜⢦⡹⢜⢢⢏⡲⡱⢪⡜⢥⣣⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣿⣿⣯⢿⡾⣽⣻⢯⣟⣾⢯⣿⣿⣯⣟⡷⣯⣿⢏⢴⣿⣿⣟⣳⣿⣻⣿⡿⠉⢸⣿⣸⠀⠀⠀⢠⣾⡿⣇ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⢻⣿⡀⠀⠀⢳⣻⡄⠀⠀⠘⣧⡀⢳⡻⣿⣧⡸⢿⣿⣿⣿⣜⠲⡙⣿⣵⢛⣿⡄⠀⠀⠛⢿⣆⡀⠀⠀⠻⣧⢎⢣⠞⣩⢖⡱⣋⡜⢦⢓⣍⠳⣌⢧⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣪⣾⣿⣟⡾⣿⡽⣿⣽⣻⢯⣟⡿⣾⣿⣿⣽⣻⣽⡟⢮⣾⣿⣿⢷⣳⣿⣿⡛⢄⠂⣼⣧⡏⠀⠄⣰⣿⡿⣽⣻ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠀⠈⢷⣿⡀⠀⠀⠋⢳⡀⠀⠀⠘⣷⡀⠳⡙⣿⣷⡎⢿⣿⣿⣿⣿⣑⢎⠿⣿⣚⣿⣄⠀⠀⠀⠈⠛⢦⣀⠀⠈⠻⢦⣏⡵⢪⡕⣣⠞⣱⢪⢜⣳⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣨⣾⣿⣿⣻⣾⣟⡷⣟⣿⡽⣯⡿⣯⣿⣿⣿⢷⣯⢷⣿⡩⣶⣿⣿⣿⢫⣿⡿⢣⡍⢖⣸⣾⣿⡇⣠⣾⣿⣻⣽⢿⣽ ⠀⠀⠀⠐⠀⠀⠀⠀⠀⢸⣧⠀⢠⠀⠀⠳⣿⡄⠀⠀⠈⢷⡄⠀⠀⠘⢧⠀⠀⠘⢻⣿⣧⢿⣿⣿⣿⣿⣯⣞⡹⢿⣮⣿⣆⠀⠀⠀⠀⠀⠈⠓⠦⠄⠀⠉⠛⠷⢾⣥⣿⡶⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣠⣾⣿⣿⣻⣞⣿⠹⣿⣟⣿⣳⢿⣯⣿⣿⣿⣿⣯⢿⡾⣿⠣⣵⣿⣿⣿⣏⣿⡿⣡⠗⡸⣦⣿⣿⢿⣳⣿⣟⡷⣯⣟⡿⣾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠈⢧⠀⡇⠀⠀⠹⡽⣆⠀⠀⠀⢻⣄⠀⠀⠈⢳⡀⠀⠀⠛⣿⣟⡾⣽⣿⣿⣿⢿⣷⣍⡿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⣵⣿⣿⡿⣽⣞⡷⣿⡏⠛⠸⣿⣿⣽⣿⣿⣿⣿⣿⡿⣽⢯⣿⢉⣿⣿⣿⣿⡿⣾⢯⡜⢧⢫⣵⣿⡿⣽⣻⢯⣷⣻⣽⢿⣽⣻⣽ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡧⠀⡈⢧⣹⡀⠀⠀⠉⠈⠳⣄⠀⠀⠛⣦⡀⠀⠀⠙⣆⠀⠀⠌⠻⣟⣷⣻⢿⣿⡮⡝⢿⣷⣝⣻⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⣦⣾⣿⡿⣯⡷⣟⣿⣞⣿⣟⣀⣤⣶⢿⢫⠳⣽⣿⣿⣿⡿⣽⣯⡟⢧⣾⣿⣟⣾⣿⣽⣯⣳⢭⣛⣾⣿⢯⣟⡿⣽⡿⣽⣻⢾⣯⡷⣿⣽ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢠⡇⠀⢻⣷⡀⠀⠸⢦⠀⠈⠳⣄⠀⠹⣷⣄⠀⠀⠈⠳⣄⠀⠀⠉⠳⣯⣟⣿⣿⣞⢢⣍⠿⢷⣯⣿⣿⣿⣟⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢀⣤⣾⣿⣿⣿⢿⣟⡷⣿⣿⣼⡿⣟⠿⣫⢳⢭⡞⣭⠻⣔⣻⣿⣿⣽⡷⢯⣽⣿⣿⣟⣾⣿⣿⣟⡶⣏⣷⣿⣟⣯⡿⣯⣟⣯⣿⡽⣯⣿⣞⣿⣳⣿ ⠀⠀⠠⠀⠀⠀⠀⠀⢸⡅⢸⣇⠀⣀⢉⣷⡄⠀⠈⢷⣀⣀⣈⣳⣄⣈⢾⡳⣄⡀⠀⠈⠳⣄⠀⠀⠈⠻⣾⡿⣿⣎⡴⣋⣎⡗⢯⢷⣿⣿⣾⡼⢏⡿⣶⣤⣄⣀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣯⣿⣿⡟⣯⡹⠼⣥⢻⡱⣏⠾⣜⢧⣛⣴⣿⣿⡷⢯⣽⣿⣿⣿⣻⣞⣯⣿⣿⣯⢿⣽⣿⣻⢾⣯⣟⣷⢿⣽⣞⣿⣽⡾⣽⣾⣻⢾ ⠀⠀⠂⠀⠀⠀⠀⠀⢸⠀⠸⠋⠉⠉⠉⠉⠙⢦⡀⠈⢻⣍⣀⣀⣀⣀⡈⠙⠮⣷⣦⡀⠀⠈⠳⣄⠀⠀⢈⠹⢿⣿⣶⡱⢮⡜⣏⡞⡼⣹⢟⣿⣿⣳⣏⣞⢞⡻⣟⡶⣶⢶⡾⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣭⣓⣎⢳⣣⣝⢮⣓⢮⣾⣿⡿⣫⣽⣿⣿⣿⣻⣞⣷⢿⣽⣻⣿⣟⣿⢿⣳⣿⣻⡾⣽⡾⣟⣷⣻⣾⣳⢿⣻⣾⡽⣿ ⠀⠀⡁⠀⠀⠀⠀⠀⣸⠀⣸⡶⠛⠛⠛⠓⠛⠺⠿⠦⣄⠈⠻⢭⡉⠙⠛⢷⣄⠀⠉⠙⢶⣤⣀⠈⠳⢤⣀⠀⠢⠙⠿⣿⣞⡼⡱⢞⡵⣋⠾⡼⣍⡟⡿⣾⢭⡻⣼⡹⣎⡷⣹⢎⡷⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣭⣶⣽⣾⢿⣹⢾⣿⠛⠙⣿⣷⢯⣿⢾⣯⣟⣿⣿⣽⡾⣟⡿⣞⣷⢿⣯⣟⣯⣟⣷⢯⣟⣿⣳⣯⣿⣽ ⠀⠐⠀⠀⠀⠀⠀⢠⡇⠀⡇⠁⠀⠀⠀⠀⠀⡀⠀⠀⠈⠙⠶⠦⣄⠀⠠⠀⠨⡟⢦⡀⠀⠹⣍⠛⠲⣤⣉⡳⣦⣌⡉⡔⡛⠿⣷⣫⡼⣍⢷⡹⣎⡽⡳⣝⢮⡳⢧⡻⣜⡳⣝⣮⢳⣹⣏⠜⣻⣿⢽⣿⣿⡿⠿⠿⠟⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣟⡋⠀⠐⠀⠈⢿⣿⣯⢿⡾⣽⣾⣿⣯⣟⡿⣽⡿⣽⣻⣾⣽⣻⢾⣯⢿⣻⣾⣽⣳⡿⣾ ⠀⠜⠀⠀⠀⠀⠀⠀⡇⢠⡇⠀⠀⠀⠄⢂⠡⢀⠉⡠⠡⠄⡠⠠⠀⡌⠄⠣⡐⢈⠌⢻⣆⠀⠈⠳⣄⣀⣹⠟⣷⣾⣿⣿⣯⣞⣥⣻⢛⣾⣮⣷⣙⢾⡱⣏⢾⣙⢧⡻⣜⡳⣝⢶⣫⡿⠋⠁⣱⡽⠚⠉⠀⣀⣠⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⣤⣾⣿⢯⣟⣿⣽⢾⣻⣯⡿⣽⣯⢿⣽⢷⣻⣞⣯⣿⢾⣟⡿⣞⣷⢿⣽⣻ ⠈⡆⠀⠀⠀⠀⠀⠀⠁⢸⠇⠀⠀⡈⠐⢀⠆⠢⠑⡄⢃⠆⡑⢈⠒⠄⢢⠑⡐⠢⢈⠡⢎⠷⣄⠀⣩⣿⣷⣾⣿⡎⢳⣿⣿⣹⢛⠿⢿⣶⡿⣿⢿⡿⣷⣿⡾⣝⢮⡳⣭⢳⢽⡾⠋⢀⣠⠞⠁⢀⣴⣶⣿⡿⣟⣯⢿⣽⣻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣣⣾⣿⢿⣽⣻⣟⣾⣽⣻⢯⣿⡽⣟⣾⢿⣽⣻⢯⣟⣷⣯⢿⣾⣻⢯⣟⣯⡿⣽ ⠠⠅⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠌⢌⠠⢊⠔⠡⠌⢢⠘⡄⠣⠘⠌⣂⠱⠈⢅⠊⠤⡈⢹⣸⠟⠉⣹⣿⣷⣿⣿⡄⢲⣍⠛⡛⠿⢷⡶⢷⠿⠶⠿⠶⠷⠿⠾⢾⠷⣾⣧⣿⣵⣿⠟⠁⣠⣾⣿⣿⣽⢾⣽⢯⣟⡿⣞⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣽⣻⣾⣻⢾⣽⣾⣻⢯⣷⢿⣻⡽⣟⣾⣟⣯⡿⣾⡽⣟⣾⣻⣯⢿⡽⣟⣿ ⢠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠄⡊⢆⡘⠤⣉⠆⡱⢨⢡⠋⡔⡠⢡⠉⢆⡘⠐⣠⡾⠋⠀⣰⣿⣿⡿⠟⢻⣿⣮⣽⣧⢌⠒⠉⠀⣀⣀⣀⣀⣠⣤⣴⣿⣿⣿⣿⣿⣯⣍⡉⢶⣾⣿⣿⣿⣿⣿⣿⣿⡿⣽⣻⡽⣞⣷⣻⢿⣿⣿⡛⢛⠛⠻⠿⠿⠿⠿⣯⣷⣿⣽⣯⣷⢯⣟⡿⣽⣻⢯⣟⣿⣳⣯⢿⣽⡷⣿⣻⡽⣷⣻⣯⢿⡿⣽ ⠂⠀⠀⠀⠀⠀⠀⠁⠀⠈⠉⠉⠀⠐⢌⠰⢂⠜⡐⠦⣉⠖⡡⢎⠲⢄⠱⢂⢍⣰⣤⠿⡿⠁⠀⢤⣿⣿⣿⡷⡀⠄⢿⣿⣿⡿⠗⠚⠛⠉⠁⠀⠠⠀⢀⢀⡀⣀⡉⢿⡌⢿⣿⣻⣧⠈⣿⣿⣿⣽⣷⣿⢿⣽⣻⢷⣯⢿⣽⣳⣯⢿⣿⣿⣿⣶⣉⣔⣂⠆⠤⢀⠀⡀⠈⠉⠙⠛⠻⠿⣽⣿⣽⣟⡿⣾⡽⣯⣿⢾⣽⡷⣟⣿⡽⣷⣻⣯⣿⢿ ⣀⣀⣠⣤⣤⡤⠴⠶⠶⡖⢶⢲⡖⡊⢄⢣⢊⡜⣡⢓⡌⡚⡕⢎⠳⡌⢣⡼⠞⠋⢀⡾⠁⢀⢀⣾⣿⢻⣿⡇⢙⣺⠖⠋⠀⢀⣠⣤⣴⣶⣾⡿⣿⣿⡿⣿⣿⣿⣿⣿⣷⡄⢻⣯⣿⣇⣸⠛⠛⠛⠛⠞⠿⠞⠿⠿⠾⠿⠾⢷⣯⣿⣻⣿⡝⢿⣅⡀⠀⠈⠈⠁⠉⠒⠳⠧⣤⣀⣀⠀⠀⠈⠉⠛⢿⣷⣿⣻⢾⣯⡷⣿⣻⣞⣿⡽⣷⢯⣿⣻ ⡻⣜⢲⡑⢢⠡⡉⢌⡑⢌⢂⠣⡔⡡⢎⡰⠢⡜⢤⢋⡔⠻⠸⢬⠷⠚⠉⠀⣀⢈⡟⠀⠀⢀⣼⣿⡞⣿⣿⣇⣾⢁⣀⣴⣾⣿⣟⣯⢿⡽⣾⣽⣳⣯⣿⣽⣻⣿⣿⢿⡿⣿⣤⣿⣿⣿⣹⣧⣤⣤⣤⣤⣄⣀⣀⣀⡀⡀⠀⠀⠀⠀⠙⣿⣦⡀⠌⢙⢿⣷⣶⣶⣶⣦⣤⣀⣀⢈⣉⡛⢳⢶⣀⠀⡈⣿⣷⣟⡿⣾⣽⢷⡿⣽⣾⣻⣽⢿⡿⣽
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣀⡴⠛⠉⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⠖⠋⠁⠀⠀⠀⠀⠀⠀⠬⣷⠄⠀⠀⠀⠀⢰⣆⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣄⠀⠀⠀⠐⢿⣬⠟⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠧⠀⠀⠀⠀⠀⠀⠀⢤⠀⠀⢠⣤⡀⠀⠙⣆⠀⠀⠀⠀⠙⠀⠀⠀⠀ ⠀⠀⣸⡄⠀⠀⠀⢀⡏⠀⠀⣀⡀⠀⠀⠀⠛⠀⠀⠈⣯⠀⠀⢞⣛⣯⡉⠀⠀⠀⣸⢦⣄⡀ ⠀⠺⢿⡿⠛⠀⠀⢸⡇⠀⡀⣿⠟⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠈⠉⢉⡏⠁⠀⠈⠛⡾⠋⠀ ⠀⢀⠈⠁⠀⠀⢀⣹⡷⣶⠂⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠀⠀⠀⠀⠀ ⢀⡾⢦⡄⠀⠰⠋⣹⡷⠛⠁⠀⠀⠀⠀⠀⣠⣤⡤⠤⣄⠀⠀⠀⠸⣧⡀⠀⣴⠛⣦⠀⠀⠀ ⠈⠻⠟⠁⠀⠀⠘⠋⠻⢶⣤⣀⠀⠀⠀⠾⠡⠸⣇⠀⠀⠀⠀⠀⠀⠈⠳⣆⡿⠀⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠐⠏⠃⠀⠀⠀⠀⠀⠀⠀⠙⣇⣸⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⣀⠴⠚⠛⠉⠉⠉⠉⠉⠙⠲⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⢤⣄⠈⢳⡀⠀⢇⠈⠉⡆ ⢰⠃⠀⠀⣠⠶⠚⠋⠙⠲⣄⠀⠀⡰⢁⣤⣄⡈⢳⡀⣧⠀⣀⡑⠊⠀ ⣼⠀⠀⡞⠁⢀⣤⢾⣿⣶⣬⣳⡄⣷⠛⢻⣿⣿⡄⣷⢸⡆⠣⠜⠀⠀ ⡿⡀⢸⠁⢠⣧⣀⡼⢿⣿⣿⡏⡿⣿⣷⣯⣿⣿⣷⡟⣼⡇⠀⠀⠀⠀ ⠰⢡⠈⢆⣿⣿⣿⣿⣿⣿⢿⡿⠃⢻⣿⣿⣿⣿⡟⠀⡙⠀⠀⠀⠀⠀ ⠀⠑⢄⠀⠛⠿⠿⣿⠿⠿⠛⠁⠀⠀⠙⠛⠛⡁⡠⠊⠀⠀⠀⠀⠀⠀ ⠀⡄⠒⠳⣴⡢⣄⣁⠀⠀⠀⠀⢀⣀⡤⣔⠏⠊⢁⡤⠒⢠⠀⠀⠀⠀ ⠀⠱⡄⠀⢿⣀⠉⣘⣛⣛⡛⠉⠋⢈⣁⣀⣀⣀⣸⠀⢀⡞⠀⠀⠀⠀ ⠀⣾⠁⠀⠀⠀⠀⠀⠀⠈⠙⣽⠛⠉⠀⠀⠈⠉⠁⠀⠈⢿⠀⠀⠀⠀ ⠸⣿⠀⠀⠀⠀⠀⠉⠛⣧⠈⠉⠐⢺⡟⠉⠁⠀⠀⠀⠀⣸⡄⠀⠀⠀ ⠀⠀⠑⢄⣀⠀⠀⠀⣸⠇⠀⠀⠀⠘⣇⡀⠀⠀⢀⣠⡾⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠈⠙⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠴⠒⠚⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⠓⠒⠒⠲⠤⣤⣀⠀⣀⣀⣠⣤⠤⠤⠖⠋⣉⠙⠿⠁⣀⣈⡉⢳⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠋⠉⠀⠀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⡤⠀⠀⠀⠀⠈⠉⣉⣤⠤⠤⠶⣶⠻⣯⠉⠳⣄⣸⠁⢸⠇⣺⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠞⠁⠀⢀⣠⣴⡾⠟⠛⠉⠉⠩⢥⣄⡀⠀⠀⠀⣰⠟⣡⡴⠖⠒⠚⠻⡄⢸⠋⢠⠖⢂⠀⢸⡄⠈⢷⡀⠉⠁⢀⡟⢀⡟⠀ ⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⠋⠀⢀⣴⣾⠟⠋⠁⠀⠀⠀⣠⡤⠤⠤⣄⡙⢧⡄⣸⠃⢰⡇⢠⡏⠙⡇⠀⡇⢹⡄⠸⢦⡼⠀⠀⣳⠀⠀⢹⡄⢀⡾⠁⡾⠀⠀ ⠀⡴⠋⣉⣉⠙⢶⡀⢀⣀⣀⡤⠤⠀⠚⠁⠀⣀⣴⡿⠋⠀⣤⠖⠛⡧⠀⡾⠁⡴⠒⢶⡈⢳⠈⣧⡇⢠⠈⢧⡀⠳⠴⠇⠀⢻⠀⠙⠲⠶⠶⠛⠛⠋⠀⢀⡞⢀⡾⠁⣼⠁⠀⠀ ⢸⡇⢸⡇⢈⡧⠰⠛⣉⣁⣠⠤⠶⠒⠲⢤⡘⢿⠉⠀⢀⡘⢧⡀⠐⢦⡀⢧⠀⠧⣤⡼⢃⡼⢠⡏⡇⠈⠳⣄⠙⠒⢚⡄⠀⡾⢀⡏⠀⠒⠚⠛⣿⣦⡀⠈⠛⠛⢁⡼⠁⠀⠀⠀ ⠀⢷⠀⢩⠭⢥⠀⢻⠉⢠⢤⡀⠰⡞⣦⠈⢧⡀⠀⣀⡾⠁⠀⡍⠀⣠⡗⠈⠳⠦⠤⠴⠛⣡⢼⡇⢷⠀⠀⠋⠀⣞⣉⣤⠞⢡⡞⠀⠀⠀⠀⠀⠘⣿⣷⡄⠀⠘⢯⠀⠀⠀⠀⠀ ⠀⠈⡇⠸⡇⠘⡇⠘⡇⠘⡇⢳⠀⢻⠘⣦⣈⡷⢀⡿⠁⠠⠀⠛⠛⣁⣴⠛⠓⠒⠐⠒⣿⡇⢸⡇⢸⡆⠀⠘⠤⣤⡤⠤⠒⢻⣿⣆⠀⠀⠀⠠⡄⠘⣿⣿⡄⠀⠈⢧⠀⠀⠀⠀ ⠀⠀⢳⠀⢳⡀⣻⡀⢻⣤⣽⠼⠷⠛⢁⣤⣉⣀⣾⠁⡄⠀⠈⠉⠉⢹⡏⠀⢠⡟⠀⢠⣿⡇⠈⣧⠀⣧⠀⠀⠀⢿⣇⠀⠀⠀⢻⣻⡄⠀⠀⠀⣷⢹⡘⣿⣿⡄⠀⠈⣧⠀⠀⠀ ⠀⠀⠈⣇⡈⠋⣉⣤⠆⠁⢠⣶⠛⡿⠉⢠⡟⢰⡇⢠⡇⠀⠀⠀⠀⣾⠁⣠⠟⠀⣰⡟⣰⣇⠀⢹⡀⢹⡆⠀⠀⢸⣿⣆⠀⠀⠘⣧⢻⡄⠀⠀⢸⡇⣧⠹⣿⣿⡀⠀⠘⣆⠀⠀ ⠀⠀⠀⠈⠉⠉⢙⡟⠀⢠⣿⢃⣼⠇⢀⣿⠀⣼⠀⢸⠇⠀⠀⠀⢸⣏⣰⠏⠀⣰⠟⣰⠏⢻⠀⠈⣧⠀⢷⡀⠀⢸⡿⣿⣧⡀⠀⢹⡞⣷⠀⠀⠘⡇⠸⡆⢻⣿⣷⠀⠀⢹⡀⠀ ⠀⠀⠀⠀⠀⢀⡼⠀⠀⣾⠇⣼⡟⠀⣼⢏⠀⣿⠀⢸⠀⠀⠀⠀⣿⣿⠋⢀⣴⣏⣼⠏⠀⠸⣇⠀⢻⡆⠈⣧⠀⠘⡇⠘⢿⣷⣄⠈⣷⣹⡆⠀⠀⡇⠀⢻⡸⣗⣿⡇⠀⠈⣧⠀ ⠀⠀⠀⠀⠀⡾⠃⠀⣸⡟⣸⣿⡇⢰⡏⣾⠀⣏⠀⢸⠀⠀⠀⠀⣿⡟⢻⡟⢛⣿⣿⠛⠓⢤⣿⡄⠘⣿⣆⠘⣇⠀⣷⣤⠴⠿⣿⣷⣾⡷⣿⠀⠀⡇⠀⠘⣧⣿⢸⣿⠀⠀⢻⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⣿⣷⣿⣿⡇⣸⣿⠇⠀⣿⠀⢸⡆⠀⠀⢰⣿⣿⠋⣴⠿⠟⠁⠀⠀⠀⠙⢿⡄⢹⠿⣦⠘⣦⢸⡄⠀⠀⠈⠻⣿⣷⣼⡇⠀⡇⠀⠀⢻⣿⡀⣿⡆⠀⠘⡇ ⠀⠀⠀⠀⠀⡷⠀⠀⣿⣽⡏⢻⡇⣻⠏⠀⠀⢻⡄⢸⡇⠀⠀⢸⡟⣡⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⢻⣌⣷⢿⣷⣌⢿⣷⠀⠀⠀⠀⠈⠻⣿⣷⢀⡇⠀⠀⢸⣿⡇⢹⡇⠀⠀⡇ ⠀⠀⠀⠀⠀⣇⡀⠀⢿⣿⡇⢸⣷⠏⠀⠀⠀⢈⣷⠈⣿⡀⠀⠸⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣝⣧⠙⠳⣿⣦⡀⠀⠀⠀⠀⢻⣿⢸⡇⠀⠀⠀⣿⣷⢸⡇⠀⠀⡇ ⠀⠀⠀⠀⢀⣨⠷⠀⠈⣿⣷⡿⠃⠀⢀⣠⡶⠛⢹⣷⡻⢷⣀⣠⣷⣤⣤⣶⣶⣶⣶⣶⣦⣤⣀⡀⠀⠀⠀⠙⢿⣧⡀⠘⣿⠻⢦⣀⠀⠀⠀⣿⣿⡇⠀⠀⠀⣿⣿⢸⡇⠀⠀⡇ ⠀⠀⠀⣴⠋⠁⠀⣠⣶⠿⣋⣤⣴⣾⣿⡟⠃⣠⡾⠉⢻⣾⣧⠈⢿⣟⠉⠛⣶⡄⠺⣬⡏⠉⠛⠿⠀⠀⠀⠀⠀⠈⢳⣄⠸⡆⠀⠀⠀⠀⢀⣿⡿⠀⠀⠀⢰⣿⣿⣸⡇⠀⠀⡇ ⠀⠀⠸⣿⠀⠰⠿⠿⠿⠿⠿⠛⠛⠛⣿⠀⣴⠟⠀⠀⠀⠙⢿⣧⣸⡝⢷⡀⠉⠉⢂⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠩⣷⣿⣆⣀⣀⣠⣾⣿⠁⠀⠀⠀⣼⣿⣿⣿⠇⠀⢸⠃ ⠀⠀⠀⠹⣄⣀⡀⢀⣀⣀⣀⡄⠀⠀⣿⣾⠟⢧⡀⠙⠲⠄⠀⡙⠻⣷⡈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠛⠁⣿⣿⠀⠀⠀⢰⣿⣿⣿⡟⠀⢀⡟⠀ ⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠉⢻⡀⠀⢻⣿⣧⠀⡿⢶⣄⡀⢾⡿⠀⠈⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⢠⣿⣽⣿⡟⠀⠀⣼⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⣀⠀⠀⢻⣷⡇⠀⠈⠙⡛⠛⠶⣤⡀⠀⠀⠀⠀⠀⢀⡐⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡏⠀⣠⣿⠋⠛⠛⠋⠀⢠⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⡟⠀⢠⣿⠀⠀⣠⣾⠃⠀⢠⣌⠛⢶⣄⡀⠀⠀⣿⢻⠀⠉⠛⠒⠒⠒⠒⠒⠂⠀⠀⠀⠀⣀⣴⢟⡿⢁⣴⡿⠁⠀⣤⠀⣠⠶⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠀⢀⣾⣯⣴⣾⣿⣁⣤⣶⠿⣿⠀⢀⣿⣿⣷⣶⣿⠸⣧⣀⠀⠀⠀⢀⣀⣀⣠⣤⣴⣾⡿⠛⣻⣿⣵⣿⣿⡆⠀⢸⡟⠉⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠈⠉⠉⠛⠛⠛⠛⠉⠁⠀⣿⣧⣾⣿⣿⣹⣿⣿⡀⠻⣿⠿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣷⣾⡿⠟⠉⠀⠀⠀⢀⡼⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣤⠀⢀⣀⣀⣀⣠⣤⠀⠀⠿⢿⣿⠁⠈⣯⡉⠻⣷⠆⣈⠳⣶⣿⣿⣯⣤⣤⣤⣿⣄⠀⠀⠀⠀⢠⡶⠒⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠓⠚⠃⠀⠀⠀⠈⢷⡄⠀⢸⣇⠀⠀⠈⣹⡟⣡⠞⣡⠄⠙⣿⣿⣿⣿⠿⠛⠻⢿⣦⡀⠀⠰⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠘⣿⣆⠀⡾⢫⡿⣧⣴⠋⣴⣆⡇⠈⠙⠓⠶⠤⣄⣀⢹⣷⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠘⢿⣿⢧⡿⠀⠀⢉⣿⠟⠻⢷⣄⡀⠀⠀⠀⠀⠉⠛⣿⡄⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠘⢿⣾⣧⣤⣤⡾⠁⠀⠀⠀⣨⣿⣷⣦⣤⣄⣀⣠⣿⠇⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣄⣀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢃⡴⠋⠀⠀⠀⣀⣠⡤⠔⠒⠋⠁⠀⠀⠀⠐⠒⠚⠛⠻⢭⣗⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡞⠀⣀⡴⠒⠉⠁⠀⠀⠀⠀⠀⠀⣰⠖⠒⠦⣄⡀⠀⠀⠀⠀⠉⠙⠢⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡴⠎⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠋⠀⠀⠀⠀⠉⠳⣄⠀⠀⠀⠀⠀⠀⠙⠲⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠳⣄⠀⠀⠀⠹⣎⠳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⣀⠀⠀⠀⠈⠳⣄⠀⠀⠈⠳⣄⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢤⠀⠀⠀⠀⠀⠀⠀⠸⡇⠈⢢⡀⠀⢦⠀⠈⠳⣄⡀⠀⠈⠳⢄⡹⣆⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀ ⠀⠐⢲⠗⢤⣄⡀⠀⠀⠀⠀⣀⣠⠤⣤⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠈⡇⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠳⡄⠈⢣⠀⠀⠀⠙⠢⣄⡀⠀⠙⠛⢷⡤⣄⣀⡀⠀⠀⣠⡷⠀⠀⠀ ⠀⢀⣼⠐⢻⣿⠟⢷⡀⠀⠚⠋⠉⠉⠳⡟⢷⡀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⢸⡄⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢹⡄⠈⢳⡀⠀⠀⠀⠀⢯⣓⠲⣤⣬⣷⡀⠈⠉⣩⡽⠋⠁⠀⠀⠀ ⣰⠊⡿⣠⢿⡿⣆⢀⢷⡀⠀⠀⠀⠀⣰⠇⠀⣧⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⠈⣇⠀⢀⠀⠀⠀⠀⢸⠀⠀⢀⣀⣻⡀⠀⢳⡄⠀⠀⠀⠀⢿⡆⣷⠀⠘⡏⠉⠉⠀⠀⠀⠀⠀⠀⠀ ⠁⢼⡿⠁⠀⠙⢿⢷⣹⡟⠲⠶⠖⠛⠁⠀⣰⠇⠀⠀⠀⠀⡶⠀⣸⠁⠀⠀⢀⣸⠀⠈⣇⠀⠀⠀⢸⠀⠀⠀⠀⠈⢧⠀⠀⠹⣄⠘⣄⠀⠈⣧⠸⡀⠀⢹⡄⠀⠀⠀⢀⡀⠀⠀⠀ ⠀⢸⡇⢷⠀⣴⢻⠂⡇⠙⠦⠤⣀⡤⠤⢾⡁⠀⠀⠀⠀⣼⠁⣰⣃⠤⠖⠛⠋⢸⡀⠀⢹⡀⠀⠀⢸⠀⠀⠀⠀⠀⠘⣆⠀⢸⣌⠢⡘⢆⠀⠸⣆⡇⠀⢸⡇⠀⣠⠔⠋⠀⠀⠀⠀ ⠀⢸⡇⠈⣷⠁⢸⡇⢻⡄⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⢰⠋⣰⠛⠁⠀⠀⠀⠀⠘⡇⠀⢸⡇⠀⠀⡾⠀⠀⠀⠀⠀⠀⢻⡀⢸⣽⡆⠘⣯⣧⠀⢻⡇⠀⢨⣧⠞⠁⠀⠀⠀⠀⠀⠀ ⠀⢸⢠⡞⠙⣆⢸⠃⠈⢷⠀⠀⠀⠀⠀⠀⣧⠀⠀⢠⣏⡼⠃⠀⠀⠀⠀⠀⠀⠀⣷⠀⡟⣧⠀⣸⠃⠀⠀⣀⣀⡀⠀⠀⣇⡸⣿⣿⠀⡏⠻⣇⠀⡇⢀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⢸⡀⠀⣨⣿⠂⠀⠈⢧⠀⠀⠀⠀⠀⢹⡀⣠⣿⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡼⠀⢿⣠⠃⢀⣾⣿⣷⡶⢷⡶⠀⣸⣧⡏⡏⡆⢸⠀⢸⡄⡵⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⠈⠳⡼⠁⢸⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⢟⠃⠁⠀⠀⠀⢀⡠⣤⣖⣺⣤⠄⠋⠀⠀⡟⠁⠀⠈⠙⠉⠉⠁⠀⠀⠀⠟⣿⠀⣇⡇⡸⠀⢾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠃⣴⠊⠳⣄⣸⠀⠀⠀⠀⠈⢳⡀⠀⢀⠀⠘⡇⠀⠀⣠⣶⣿⡿⠿⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠇⠀⣿⡴⠃⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄ ⡞⢀⡇⠀⠀⣨⢿⠀⠀⠀⠀⣠⡴⠋⠀⠈⠳⣄⠈⠢⣌⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡆⠀⣯⡤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠄⠊⠀⠈ ⠀⢸⡇⣤⠊⠀⣾⠀⠀⠀⠘⢻⣿⠑⠲⣆⠀⠘⠳⣄⠈⠓⢦⣄⠠⠄⢦⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⠤⠤⠼⠿⠗⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠖⠉⠀⠀⠀⠀⠀ ⠀⢸⡟⠀⠳⠄⡇⠀⠀⠀⠀⠈⢾⡆⢀⡸⣦⠀⠀⠈⠻⡗⠒⠚⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡖⠋⠀⠀⠀⣰⠋⠀⠀⠀ ⢠⢾⠁⠀⠀⠀⡇⠀⠀⠀⠀⠀⢠⠙⠲⠭⣍⡷⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢦⡀⣠⠞⠁⠀⠀⠀⠀ ⠁⠸⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⢀⣀⡀⠀⠀⠹⣆⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠛⠁⠀⠀⠀⠀⠀⠀ ⠀⠆⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⣿⠀⠀⢠⠶⠭⠥⠭⣧⠀⠀⢻⣆⠀⠉⠛⠛⠲⣶⣒⠒⡾⠁⠀⠀⢸⣓⡶⠀⠀⢰⡿⠳⣶⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⡏⠀⠀⡏⠀⠀⠀⠀⠈⢧⡀⠀⢿⣦⣄⡀⠀⠀⠙⣿⡠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠶⠾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡸⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⢸⠁⠀⢠⠇⠀⠀⠀⠀⠀⠀⢳⡀⢸⣿⠳⢟⡦⣄⠀⢳⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⢀⣴⡾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⣰⠃⠀⠀⠀⠀⠀⢀⣿⠀⢀⡾⠀⢄⣀⠀⠀⠀⠀⠀⢷⡀⡏⡇⠀⠻⣆⡙⡿⢼⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣧⣤⡄⠀⠀⠀⣾⣯⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⡾⢹⢀⡞⠀⠀⠀⠈⠉⠓⢤⣀⠀⠀⣿⣿⡇⠀⠀⠈⠛⢦⡜⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠷⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⡏⠀⠀⠀⠀⠀⢀⡼⠁⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢦⣿⣿⠇⠀⠀⠀⠀⢨⠃⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀ ⠠⠫⠁⠀⠀⠀⠀⢀⡞⠁⣸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢿⠿⢤⡀⠀⠀⠀⢸⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢀⠁⠀⠀ ⢁⠆⠀⠀⠀⠀⣠⠎⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣠⠶⠋⠉⠀⠀⠙⠦⡄⣀⡼⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠁⠀⠀⢀⠂⠀⠀⠀ ⡞⠀⠀⠀⣀⠜⠁⢀⡴⢉⡇⠀⠀⠀⠀⠀⠀⠀⠘⢇⡘⣧⣄⣀⣀⣀⡤⠴⠚⠛⠁⣀⠘⢦⡙⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣠⠂⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠾⠛⠋⠉⠉⠀⠀⠀⠉⠉⠉⠛⠻⠶⣤⣄⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢶⣤⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣴⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠰⣼⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠻⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡐⣴⠟⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣾⣷⡄⠀⠀⠀⠀⠀⠀ ⣬⣿⠃⠀⠀⢠⣤⡄⠀⠀⠀⠀⠉⠲⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢷⣤⣄⣀⣀⡀⠀ ⣿⣿⣄⠀⠀⣸⣿⡁⠀⠀⠀⠀⠀⣴⠀⠀⠈⠛⠻⠿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣤⡽⠇⠀ ⣿⣿⡛⠛⠛⠋⠈⠻⢦⣤⣠⣤⡾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣶⡄ ⠈⠛⠿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⡶⢾⠛⠇ ⠀⠀⠀⠀⢭⡛⣷⢶⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⢿⣄⣀⣤⣤⣴⣶⠟⠛⠋⢉⣤⣶⣮⠀⠀ ⠀⠀⠀⠀⠀⣶⣇⠀⢀⣽⠟⠛⠛⠛⠛⠿⠿⠷⠶⠶⠶⠶⠶⠶⠶⠶⠾⢷⣤⣀⠀⢀⣠⣾⠟⠉⠁⠀⠈⢿⡟⠶⣶⣿⣿⡿⠟⠀⠀ ⠀⠀⠀⠀⠀⠉⠛⢷⣾⠇⠀⢀⣤⣤⡀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠘⣷⠀⠸⣏⠹⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣼⡏⠀⠀⢺⣿⣿⡇⠀⠀⣟⠀⢰⣆⠀⠘⣷⠀⠀⠀⢰⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠻⣦⡿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⡇⢰⢤⡌⠉⠁⠀⠀⠀⠻⠶⠟⠙⠷⠾⠋⠀⠀⠀⠘⠿⠿⠿⠁⣀⢠⡄⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣿⣷⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠚⠋⠀⠀⠀⠀⢠⡟⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣄⠀⢿⣟⢷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣤⢀⣆⣤⣀⣿⠀⢸⡏⠙⠛⠿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣛⣿⡿⣿⡿⢛⡁⠸⢷⣀⠀⠀⠀⠈⠙⡛⠷⢶⣤⣤⣤⣀⣀⣀⣀⣀⣀⣠⣤⣤⡶⠾⣿⣋⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣾⡿⠛⢿⣿⡆⠀⠀⢰⣿⡿⠛⢿⣷⡄⠀⠀⠀ ⠀⠀⠀⢸⣿⡇⠀⠀⣿⡇⠀⠀⢸⣿⠀⠀⢸⣿⡇⠀⠀⠀ ⠀⠀⠀⢸⣿⡇⠀⠀⣿⡇⠀⠀⢸⣿⠀⠀⢸⣿⡇⠀⠀⠀ ⠀⠀⠀⠈⣿⣿⠀⠀⣿⡇⠀⠀⢸⣿⠀⠀⣿⣿⠁⠀⠀⠀ ⠀⠀⠀⠀⢿⣿⣀⣤⣿⣷⣶⣶⣾⣿⣤⣀⣿⡿⠀⠀⠀⠀ ⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀ ⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀ ⢠⣿⣿⣿⣿⣿⠟⠛⠻⣿⣿⣿⣿⠟⠛⠻⣿⣿⣿⣿⣿⡄ ⢸⣿⣿⣿⣿⣿⣤⣤⣤⣿⣿⣿⣿⣤⣤⣤⣿⣿⣿⣿⣿⡇ ⠘⣿⣿⣿⣿⣿⣿⣿⣿⡋⠉⠉⢙⣿⣿⣿⣿⣿⣿⣿⣿⠃ ⠀⠙⣿⣿⣿⣿⣿⣿⣿⣧⣀⣀⣼⣿⣿⣿⣿⣿⣿⣿⠋⠀ ⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠛⠛⠿⠿⠿⠿⠛⠛⠋⠁⠀⠀⠀⠀⠀
⠀⢀⡤⠖⠒⠒⠲⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠖⠒⠒⠲⢤⡀⠀ ⢀⡟⢠⡖⠋⠙⢳⣤⠽⠖⠛⠉⠉⠉⠉⠉⠉⠙⠓⠾⣤⡖⠋⠙⠲⡄⠹⡄ ⢸⡀⣿⠀⣠⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣄⠀⣹⠀⡇ ⠈⢧⣘⡶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣏⡴⠃ ⠀⠀⡽⠁⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⢹⡀⠀ ⠀⠀⡇⠀⠀⠀⠠⣯⣽⡇⠀⣠⠴⠚⠓⠲⣄⠀⢰⣯⣽⡇⠀⠀⠀⠀⡇⠀ ⠀⠀⡇⠀⠀⣀⣀⣉⠋⢁⡞⠁⠀⣤⣤⠀⠈⠳⡄⠉⣋⣁⣀⠀⠀⠀⡇⠀ ⠀⠀⣇⠀⠘⠻⠿⠟⠃⢸⠀⠦⣄⡼⢯⣄⡤⠆⣷⠘⠻⠿⠟⠃⠀⢰⠇⠀ ⠀⠀⠹⣄⠀⠀⠀⠀⠀⠈⠳⣤⣀⠀⠀⢀⣠⠞⠁⠀⠀⠀⠀⠀⣠⠟⠀⠀ ⠀⠀⠀⠈⠳⣤⣀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⢀⣠⠞⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠙⠒⠶⠤⠤⠤⣤⣤⡤⠤⠤⠶⠒⠋⠉⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣴⡾⠗⠛⢮⡑⢦⠄⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⢁⡞⠉⠁⠉⡇⠸⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢲⡏⠀⠀⠀⠀⠙⡏⠀⠀⠀⠀⠀⠀⠀⠀⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢏⣰⣟⡀⠀⠀⠀⢹⠀⣿⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⣠⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⣠⠂⠀⢀⢿⠏⠁⠀⠻⡶⡿⣅⣸⡖⢨⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⡽⢧⠤⠤⣄⡀⢆⠀⠀⢀⡴⣫⡀⠀⠀⠀⠀⢳⣤⣤⠤⡤⠞⠁⠀⠚⠁⡌⠀⠀⠀⠀⢹⡉⠉⠛⠦⣸⠸⡆⠀⠀⠀ ⠙⢶⣤⡀⠀⢠⡇⠀⠀⢧⠀⠀⠉⠠⠕⣦⡾⠋⠁⠈⠓⠒⠒⠒⠉⠀⠈⠉⢣⡀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⣇⠀⠀⠲⢾⣷⣷⠀⠀⠀ ⠉⠉⠉⠁⠀⢸⠀⠀⠀⢸⠀⠀⠀⠀⢀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⠦⣄⣀⡞⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢀⡼⢹⡀⠀⠀ ⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⣇⢀⣠⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠈⠉⠉⢻⡁⠀⠀⠀⢸⠀⠀⠀⠋⠁⠈⡇⠀⠀ ⠀⠀⠀⠀⠀⠞⢳⡀⠀⢠⡞⠁⠀⡔⠁⠀⠀⣴⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⢷⡦⠤⠤⢞⡄⠀⠀⢤⠀⠀⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⠃⣼⡴⢀⡞⠀⠀⠀⣰⢣⠃⠀⠀⠀⠀⠀⠘⣶⡀⠀⠀⡀⣆⢧⠀⠀⠀⢀⠘⣧⠀⠀⠀⠉⠛⣄⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⡽⠁⡜⠀⠀⠀⣰⡏⡸⡸⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⢹⠘⣼⠀⠀⠀⡼⡀⣎⠳⢄⡠⠖⠋⠹⣏⢹⡀⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⢫⢿⣿⢁⢶⠁⠀⠀⢠⢿⠀⠁⠁⠀⠀⠀⠀⢠⠀⠈⣧⠀⠀⠈⠀⠛⡇⠀⡔⠀⢧⠹⣇⠀⠸⡄⠀⠀⢹⡆⠃⠀⢧⠀ ⠀⠀⠀⠀⠀⠀⣿⣼⡇⣎⠊⠀⠀⠀⡎⡇⡄⠀⠀⠀⠀⠀⠀⠀⡇⠀⣼⠀⠀⠀⠀⠀⣧⠀⠀⠁⠘⠀⠿⠀⢠⠇⠀⠀⢸⣿⡀⣦⠘⡆ ⠀⠀⠀⠀⠀⠀⣸⣿⢰⡹⠀⠀⠀⣰⠃⣇⡇⠀⠀⠀⢀⡀⠀⠀⣿⠀⣿⠀⠀⠀⠀⠀⠏⠀⠀⠀⠀⠀⠈⣠⡿⣦⡤⣤⣼⣿⡛⠿⣦⢓ ⠀⠀⠀⠀⠀⣰⡟⡇⢸⡇⠀⠀⠸⣿⠀⣟⡆⠀⠀⠀⢸⡇⠀⠀⣿⣧⢻⠀⠀⠀⣠⣤⡇⠀⠀⠀⠀⠀⠀⢿⣾⠨⡇⣸⢻⡿⣿⡲⢈⡶ ⠀⠀⠀⠀⣠⣿⠃⣧⢸⣇⠀⠀⢀⡇⠙⠫⣇⣀⣀⣠⠬⠧⠶⠼⢹⡿⠾⢔⣒⣭⣁⣼⡇⠀⠀⠀⠀⠀⠀⣺⡟⢠⣇⢧⠸⣾⣿⡇⡫⢇ ⠀⠀⢀⣼⡿⠉⠀⣿⢞⡎⠋⠉⠉⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⣿⣇⡾⢿⠘⢳⡬⢿⣗⢂⣄ ⠀⢠⡾⣽⠁⠀⠀⠈⠈⣷⣤⣼⣶⣷⣷⣶⡖⠃⠀⠀⠀⠀⠀⠀⠐⢾⣿⣶⣾⣦⣖⣾⣤⠄⠀⠀⠀⠀⠀⢻⡜⢷⡘⢮⠙⢷⠤⣽⣿⠋ ⢠⡿⢡⡏⠀⠀⢀⠀⠀⣾⠉⠙⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠙⠻⣿⠭⠋⠀⠀⠀⠀⠀⠀⣧⠀⡷⡞⢿⢽⣖⠉⠀⠀ ⡞⠀⣾⠁⠀⠀⣸⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⠁⠀⠀⠀⢨⠀⠀⢸⣿⡼⢹⠁⠀⠈⣿⡄⠀⠀ ⡇⠀⣿⢠⠀⠀⣿⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⡼⠀⠀⢠⣧⠇⡾⠀⠀⠀⢻⡇⠀⠀ ⠁⠰⢿⣼⣄⠀⢻⠀⡟⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⢠⢏⡇⠀⠀⢸⣿⠠⠇⠀⠀⠀⠀⡇⠀⠀ ⠀⠀⠀⠙⣧⣰⡿⣆⣴⡎⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⣠⡞⣸⠀⠀⣰⢇⣿⠀⠀⠀⠀⠀⠀⠃⠀⠀ ⠀⠀⠀⠀⠘⢿⡶⢿⡧⣿⣻⣯⡷⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠐⠐⠛⢠⠃⠀⡰⠃⣸⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡆⠶⠤⣤⣍⡻⣿⠁⠀⠉⠓⠦⢄⣀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡴⡷⣀⡤⠶⣤⠏⠀⢛⣁⡴⣣⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠁⠀⠀⠀⣸⢀⡇⠀⠀⠀⠀⡼⠀⠈⠙⢲⣶⣶⠲⣿⣭⡤⠊⠀⡗⠛⢦⠤⣟⡋⣿⣽⠿⡏⠁⠘⡌⠹⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡞⠀⠀⠀⢠⣧⣼⡄⣀⡀⠀⣸⢃⣀⣀⣀⣸⢼⣏⣀⠼⠋⠀⠀⣸⠋⠉⠙⠒⠥⣟⠟⡁⠀⡆⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⠃⠀⣀⡀⣾⣿⡟⠉⣩⣹⠞⠉⠉⠉⠁⡝⣣⢾⠋⢀⣀⠤⣖⣪⠇⠀⠀⠀⠀⢰⡃⠀⢧⠀⢇⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀ ⠀⠀⠾⢷⢠⡤⣤⣹⣿⠉⡇⠀⠏⠀⠀⠀⠀⠀⡸⣷⣿⣿⣭⣵⡶⠿⢛⡏⠀⠀⠀⠀⢠⠃⠙⠦⣘⡄⠸⡄⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀ ⢀⠄⠀⠈⠁⠈⣹⢻⣯⠀⢣⠀⣷⠃⡀⠀⠀⠰⠥⠿⣻⠟⠉⠀⢀⣠⡾⠶⣒⡤⣀⢠⠏⠀⠀⠀⠈⠛⠦⡷⠤⠤⠤⢤⠈⢇⠀⠀⠀⠀ ⠀⠀⠠⠔⠒⢋⡏⠀⡟⠀⢸⠀⡿⢤⡈⣂⠀⠀⠀⠈⠀⠀⠀⠀⢻⣿⣽⡒⢲⢬⣙⣯⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡧⢸⡟⢻⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⡾⢀⡸⢷⠀⢸⠀⣷⠀⠙⠚⠲⡐⠤⠀⠀⠀⠀⣴⣏⠀⠀⠛⠛⠷⣧⡿⠀⠀⠀⠀⠀⠀⠀⣸⠄⢀⣠⠿⠁⢸⠁⠀⠀⠀ ⠀⠀⠀⠀⢰⢁⡞⠀⣼⡄⢸⡄⣿⠀⠀⠀⠀⠈⠒⣋⣧⣡⣶⠛⡌⢣⣀⣀⣠⢴⠧⠤⠴⠶⠒⠒⠒⣋⡭⠖⠚⠉⠀⠀⠀⣼⠀⠀⠀⠀ ⠀⠀⠀⢀⣣⠎⠀⠀⠈⡗⠀⡇⢸⠢⠠⠴⠒⠋⠉⢁⣀⣠⡇⠔⢚⠉⠀⠐⠂⣯⡤⠴⠖⠒⠚⠛⠉⢁⣀⣀⣀⢤⡄⡀⠲⠈⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢠⠀⠀⢠⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⢻⠊⠁⢾⠀⠀⠀⠀⠀⠀⠗⡆⢠⡄⠀⠀⠀⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡜⠸⠀⡘⢸⠀⠀⠀⢠⠆⠸⠀⡇⡌⠃⠀⠀⠂⢸⠀⠀⢰⠀ ⠀⠀⠀⣠⠀⠃⢰⢀⠇⠸⠀⠀⢠⢻⢠⠃⠀⣧⢁⣰⠀⣸⣀⡀⠄⠀⠘⠀ ⠀⠀⠀⢃⣷⡾⠿⣾⣝⠂⠆⢠⠃⣨⠂⠀⢀⠗⣡⡼⢿⣛⠒⠯⣕⣆⣀⠀ ⠀⠀⢠⣿⠏⢀⣴⣿⣿⣦⠘⠃⠀⠁⠀⠀⠈⠼⣩⣾⣿⣯⡿⣦⠀⢫⢷⠀ ⠀⠀⣼⣿⠀⣼⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢀⣿⣿⡹⣿⢷⣸⠀⢸⣸⠇ ⠀⠀⢹⠛⢦⠹⡻⢋⣭⠿⠃⠀⠀⠀⠀⠀⠀⠀⠻⢿⣈⠕⢀⠜⠀⢩⠃⠀ ⠀⠀⠀⡆⠀⠀⠈⠀⠀⠀⠀⡠⠤⠤⠢⢴⠶⣦⠀⠀⠀⠀⠀⠀⡠⠃⠀⠀ ⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠠⡇⢀⠠⠤⠐⠩⠭⣇⠀⠠⠔⠢⠭⡄⠂⠀⠀ ⢀⡈⢆⣇⠀⠀⠀⠀⠀⠀⠀⢋⠀⠀⠀⠀⠀⠀⠸⠀⠀⢀⠤⠊⠀⠀⠀⠀ ⠀⠈⠑⢭⡉⠒⠤⢂⣀⠀⠀⠈⠂⡀⠀⠀⠀⠀⠀⢀⡙⣧⠤⠄⣀⡀⠀⠀ ⠀⠀⠠⢉⠆⡰⠑⠤⣀⣟⣍⠁⣒⡒⣒⡂⠀⠀⠉⢀⣀⢇⢌⡅⠀⡀⠀⠀ ⠀⠀⠠⠁⠈⠀⠀⡐⣪⠗⠊⠋⠁⡟⠗⠤⣍⠭⠔⠊⠉⠉⠑⢜⣄⡛⠀⠀ ⠀⠀⠀⠀⠀⠀⡌⣰⠃⢀⣀⡤⠖⠳⠺⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⡿⠿⠻⢶⣍⠳⣤⡔⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠋⣠⠟⠉⠉⠈⢹⡇⢸⣦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⠋⠀⠀⠀⠀⠙⢳⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⢀⣼⠏⠀⠀⠀⠀⠘⡇⠀⢿⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣯⣶⠞⠛⢶⣀⢀⣀⡀⠀⣷⡀⠸⣿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣆⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠨⣧⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⢀⣠⠟⡿⠁⠀⠀⠀⢻⡏⣿⣳⣤⡿⠟⢰⡾⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣾⠿⣶⠶⠤⣄⣀⠘⣦⡀⠀⠀⢀⡴⢚⣦⡀⠀⠀⠀⠀⠀⢘⣆⣴⣶⠶⢶⠶⠋⠀⠀⠐⠋⠁⣰⠁⠀⠀⠀⠀⠀⢻⡈⠉⠘⠛⠦⢈⡇⢻⡆⠀⠀⠀⠀ ⠳⢶⣄⣀⠀⠀⠀⢸⡏⠀⠀⠘⣇⠀⠀⠉⠉⢈⡳⣤⣠⣾⠗⠋⠉⠙⠶⠦⠤⠤⠴⠞⠉⠉⠉⠉⢿⣀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⢴⣼⣿⣮⣷⠀⠀⠀⠀ ⠶⠶⠿⠿⠇⠀⠀⢸⠁⠀⠀⠀⢸⡄⠀⠀⠀⠈⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⡀⠀⠀⠀⣰⠁⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠈⠙⣻⢿⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⣠⡟⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡉⠓⠶⠶⠧⢤⣀⣀⡀⠀⠀⠀⠀⢸⡇⠀⠀⠀⢠⣾⠋⢸⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⢣⣀⣤⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠈⠀⠀⠀⢷⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠰⠏⢷⡀⠀⠀⢠⡾⠋⠀⢀⡴⠁⠀⠀⠀⣠⢆⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣧⠀⠀⠀⠀⠀⠀⢿⣦⢤⣀⣠⡞⡇⠀⠀⠀⢠⡀⠀⠀⠘⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡶⠀⣼⢁⡆⢀⡞⠀⠀⠀⠀⢀⡟⡾⠀⠀⠀⠀⠀⠀⠀⠀⢷⢠⠀⠀⠀⠀⠀⣜⢻⡀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⠛⠒⢦⡀⠀⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣧⣼⢯⡟⠀⡼⠁⠀⠀⠀⢠⡿⢀⠇⡴⠀⠀⠀⠀⠀⠀⠀⠘⣾⠀⠀⠀⠀⣦⠹⡌⣧⠀⠀⠀⠀⢷⠀⡹⢦⡀⠀⠀⢀⣠⠴⢿⣶⠶⡆⠀⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣸⣿⣯⡏⠀⣸⠃⠀⠀⠀⢠⣿⠁⡼⢰⠃⠀⠀⠀⠀⠀⠀⢀⠀⣷⡆⠀⠀⠀⢹⡀⢷⣿⠀⠀⠀⠀⡞⡆⢻⡄⠙⠶⢶⡉⠁⠀⠈⢿⡆⢹⡄⠈⢆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢫⡿⣿⡞⢀⣇⡇⠀⠀⠀⢀⡟⡏⠀⠀⠈⠀⠀⠀⡆⠀⠀⠰⡀⠀⠈⣷⠀⠀⠀⠈⠁⠘⢹⠀⠀⢠⢳⠀⢷⠘⣿⡀⠀⠘⡇⠀⠀⠀⢸⣿⡌⠃⠀⠸⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣰⣿⢃⣞⡜⠀⠀⠀⠀⣼⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⣿⠀⠀⠀⠀⠀⠀⠘⣄⠀⠀⠈⠀⠘⠀⢹⡇⠀⢀⡇⠀⠀⠀⠀⣿⣧⠀⢠⡀⢹⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡏⢸⢿⠀⠀⠀⠀⣠⡏⣸⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⣿⠀⠀⠀⠀⠀⠀⠄⡟⠀⠀⠀⠀⠀⠀⠀⠁⢀⣾⣁⣀⠀⠀⢠⣿⣿⣷⣾⣧⡈⢇ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠃⡎⡏⠀⠀⠀⢠⣾⠀⣿⣾⠀⠀⠀⠀⠀⠀⣶⠀⠀⠀⣼⣧⢠⣼⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⢰⣾⢯⠏⣿⠉⢛⣿⣿⣹⣆⣉⡙⢷⠐ ⠀⠀⠀⠀⠀⠀⢀⣾⡏⣿⠀⡇⡇⠀⠀⠀⠙⣿⣄⢻⣼⡀⠀⠀⠀⠀⢠⣟⠀⠀⠀⡿⣿⣾⣿⠀⠀⢀⣀⣤⢶⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡄⢺⢆⣼⢻⡿⠻⢿⡍⢃⣸⡟ ⠀⠀⠀⠀⠀⢀⣾⡿⠁⡇⡆⡇⣇⠀⠀⠀⢀⡇⠈⠛⠦⣇⣀⣀⣀⣠⠾⠿⠶⠷⠶⠇⣿⡧⠿⠶⣚⣩⣧⣀⣰⣿⠇⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠁⣾⡀⢧⠘⢿⣿⣿⣏⢉⡴⢆ ⠀⠀⠀⢀⣴⣿⡗⠃⠀⢳⣧⣹⡜⠖⠒⠋⠉⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣹⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡇⢠⣿⣿⠘⢷⣄⣸⣿⣷⠮⠀⠉ ⠀⠀⢀⣾⢿⡏⠀⠀⠀⠸⠏⠻⣇⠀⠠⣤⣠⣤⣤⣄⣀⣀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣄⣠⣤⡠⣄⣀⡿⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⠹⣿⡀⢿⡰⢦⣿⡍⠙⠳⣶⣽⠗ ⠀⢰⣿⢇⣿⠁⠀⠀⠀⠀⠀⢀⢿⣻⣿⣿⣿⡿⠿⠿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠿⠿⠿⣿⣿⣿⣾⣿⣟⣁⠀⠀⠀⠀⠀⠀⠀⣸⡇⠘⢷⣀⡻⣦⣬⣛⣉⣻⠿⠇⠀ ⢰⣿⠇⣸⡇⠀⠀⠀⢠⠀⠀⢈⣿⡄⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢹⡟⠶⠁⠀⠀⠀⠀⡀⠀⠀⣿⣿⠀⣸⢿⡏⠹⠿⢿⣯⡁⠀⠀⠀ ⡾⠁⠰⡿⠁⠀⠀⠀⣸⠀⠀⠘⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠞⠀⠀⠀⠀⠀⢀⠇⠀⠀⢹⣿⣴⡟⣼⠁⠀⠀⢸⣿⡇⠀⠀⠀ ⡇⠀⢸⡇⢀⠀⠀⠀⣿⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⢸⣯⡾⢀⡇⠀⠀⠀⠈⣷⢿⠀⠀⠀ ⡷⢀⣸⣇⢸⡀⠀⠀⣿⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⢀⡆⡟⠀⠀⠀⢸⣿⡇⢸⠇⠀⠀⠀⠀⠈⢸⠀⠀⠀ ⠀⠈⠙⠿⣾⡷⠄⠀⣹⡄⠸⠙⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⡾⢸⠃⠀⠀⢀⣾⣿⠁⠚⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⣄⣸⡿⣷⣠⣾⡏⠻⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⣠⡾⠁⡿⠀⠀⢠⡿⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣿⣿⡶⣿⣿⣸⣷⢻⣿⣹⡶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠆⠾⠿⠁⣼⠁⠀⢠⡞⠁⣼⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣹⣅⣈⣉⡘⠿⣿⡿⣿⠀⠈⠙⠶⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣏⠀⠀⣀⣀⠀⣸⠃⠠⠶⠟⠀⣸⢇⣾⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⠁⠉⠉⠙⠻⢷⡞⢹⡇⠀⠀⠀⠀⠀⣩⠙⠲⠦⣄⣀⣀⣀⣀⣀⣀⡤⠴⠶⣲⠿⢹⣝⣶⡞⠉⠙⣿⣃⣤⣤⠴⣶⣚⣵⠟⢹⡿⠤⢤⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⡾⠀⡼⠀⠀⠀⠀⠠⢠⡟⠀⠀⠀⠀⠉⡿⣽⣿⠙⠷⣿⣶⠶⠉⠀⢸⣍⣉⣙⡖⠻⡯⣅⣰⣿⣺⠟⡏⠀⠀⠀⠇⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⣸⣧⣶⣇⢀⣀⠀⠀⢀⡿⢀⡀⢀⣀⣀⣠⡵⣿⣏⣀⡤⠞⠉⠀⠀⢀⡿⠁⠉⠉⠉⠛⠦⣼⡽⢻⡁⠀⡇⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⢰⣿⣯⣿⠛⠋⣉⢻⡴⠟⠋⠉⠉⠉⠉⡽⢧⣴⣿⠋⠉⠀⣀⣀⡤⠶⣿⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀⣧⠀⢹⡀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣰⣏⠀⠀⠀⠛⠶⣾⣿⠻⡇⠀⢀⡿⠋⠀⠀⠀⠀⠀⠀⣴⣀⣾⣷⡧⠴⣖⣚⡭⣷⣾⣿⠃⠀⠀⠀⠀⠀⢀⡞⠳⣄⠀⠹⡄⠘⣇⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠁⢘⠤⠟⣛⣿⣾⣿⡏⠀⢹⠀⢸⡀⡠⠀⠀⠀⠀⠀⣰⠉⣿⣟⣿⣶⠿⠿⠚⠍⠉⣰⣏⠀⠀⠀⠀⠀⢀⡾⠀⠀⠈⠙⢦⣿⡀⢹⡆⠀⠀⠀⠀⠀⠘⢷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣼⢏⣿⡇⠀⢸⡄⢸⡏⠁⣀⠀⠀⠀⠀⠳⠒⠟⣿⠿⠹⠀⠀⠀⣀⣶⣛⠻⠿⢝⣶⣤⣀⡾⠁⠀⠀⠀⠀⠀⠈⠙⢶⡟⠶⠶⠶⠶⢶⣀⠸⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠴⠖⠛⢻⡏⠀⢸⡇⠀⢸⡇⢸⣟⣤⣀⢓⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠸⣻⣏⣹⡒⠲⣦⣉⣉⣻⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⢸⡆⢨⡟⠛⢿⡆⠀⠀⠀⠀ ⠐⠀⠀⠀⠀⠀⢀⡟⠀⢀⣾⡅⠀⠈⡇⠸⡇⠀⠛⠮⠿⢤⠀⣄⡀⠀⠀⠀⠀⠀⣀⣾⠉⠉⠉⠷⠶⢿⣤⣿⣹⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣀⠀⠀⣠⣾⠇⠀⢸⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡸⠁⣼⠃⠀⣧⠀⠀⡇⠀⡇⠀⠀⠀⠀⠈⠳⣌⣡⡴⣆⠰⢀⣀⣿⡙⢦⡀⠀⠀⠀⠈⢁⡟⠋⠁⢀⣀⣀⣀⣀⣀⣤⠴⠶⣛⣣⠶⠞⠋⠀⠀⠂⠸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⠇⣼⠃⠀⠰⣿⡆⠀⣧⠀⣧⠀⠀⠀⠀⠀⣀⣀⣀⡤⠽⠶⠾⡿⠁⠻⣀⣷⠤⠶⠶⠖⣿⠃⠉⠉⠉⠉⠉⣉⣉⣀⡤⠶⠋⠉⠀⠀⠀⠀⠀⠀⠰⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣈⡼⠃⠀⠀⠀⢸⡟⠀⢸⡄⣿⠠⠠⠶⠖⠛⠉⠉⠀⢀⣀⣀⣾⢁⠖⢋⡉⠀⢀⠂⠀⢀⣷⡴⠶⠶⠚⠛⠋⠉⠉⠁⢀⣀⣠⣠⣀⣆⣖⠆⡀⠘⠆⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠊⠉⠉⠉⠶⠤⠄⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡖⠒⠳⢄⡀⠀⠀⠀⠀⠀⠀⠀⠑⢦⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢧⠀⠀⠀⠈⡢⢀⣀⠀⠀⠀⠀⢀⡠⠗⠂⡝ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠳⡀⠀⠀⠀⠀⠀⠙⠢⣀⠀⢇⠀⢠⠎⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⡀⠀⢩⡀⠀⠀⠀⣀⣰⠀⠈⢦⠀⠑⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠙⡦⠤⠥⠀⠀⢸⣿⡏⠀⠀⠀⢣⢰⡅⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡴⡄⠹⡢⢰⡀⠀⣀⢆⡘⠟⠁⠀⠀⠀⠘⠇⢱⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⡄⠈⠒⠵⣄⢱⡀⠹⠚⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣂⡀⠀⠀⠑⠇⠀⠀⠈⢳⠠⢄⣀⣀⣀⠤⠋⠀⠀ ⠀⠀⠀⣀⠤⢤⠔⠩⢟⠳⡤⡤⠴⡤⠠⡶⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡜⠁⠀⡟⠀⠀⠀⢢⠃⠀⠠⠦⡄⠌⠑⣠⠤⠷⣖⠒⠢⡄⠀⠀⠀ ⠀⠀⣇⠀⠀⢧⠀⠀⠀⠀⢱⡀⠀⠀⠸⠀⠈⣀⡀⠀⠈⢧⠀⡷⠀⠀⠀ ⠀⠀⢸⠄⠀⡼⡧⠀⣀⣠⠴⢓⡶⠒⠒⠊⠉⠁⠘⣦⠤⢺⠽⠃⠀⠀⠀ ⠐⠶⠯⠴⠊⠀⢗⣂⣸⢤⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠔⠒⠢⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣶⣶⣏⡁⣄⣀⣀⠀⣀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⣀⠤⠴⠻⢗⠋⠁⠀⠀⠈⠉⠛⠦⢿⣾⡳⠾⣤⣄⡀⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⡠⠤⠤⠬⣿⡶⢤⣠⠖⠉⠀⢀⠀⠀⠀⢁⣀⡠⠤⠄⠀⠀⠀⠤⠬⣻⠿⢦⣙⡋⢼⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠶⠋⠀⠀⠀⠀⠀⢸⡅⠀⣧⠀⠀⢀⡤⠒⠋⠉⠁⠀⠀⠀⠀⠀⠀⠉⠂⠀⠀⠉⠒⠮⣷⣶⡞⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠏⠀⠀⠀⠀⠀⠀⢠⡄⠇⢠⠟⠀⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡏⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⢹⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠈⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢳⡄⠀⠀⠀⠀⠀⣰⣿⠇⣠⢿⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠙⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⣿⣤⣀⢀⣤⣼⣏⡟⠀⣇⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠛⣿⣶⠿⣿⣿⣿⣄⣴⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⢙⡿⣄⣀⣰⠇⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⡀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠀⠀⣼⢧⡀⢠⠃⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠸⡀⠀⠀⠰⡄⠀⠀⠀⠀⣰⠀⢇⠀⣴⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀ ⠀⠀⠀⠘⠀⣸⡏⠀⢃⡸⠀⡄⡄⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⣸⠤⠄⠱⣄⠀⠀⢳⡄⠀⢀⡼⠃⠀⣸⣴⣿⡆⠀⠀⠀⠀⣇⠀⠀⠀⠀ ⠀⠀⠀⢸⢀⣿⠀⠀⠘⡇⣸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣴⡿⠛⣛⡓⠊⠙⠒⠚⠉⠓⠋⠀⣠⡾⠿⠿⣿⠃⢀⡄⠀⡀⠸⡄⠀⠀⠀ ⠀⠀⠀⢸⣾⠃⠀⠀⠀⣿⣿⢰⠃⢀⡆⠀⠀⠀⠀⣀⣴⣿⠏⡐⠉⣠⣹⡆⠀⠀⠀⠀⠀⠀⠐⠁⠀⠀⢀⣿⣖⢩⠇⠀⢹⣆⢣⠀⠀⠀ ⠀⠀⠀⢸⡟⠀⠀⠀⠀⢸⡏⢿⠀⣼⠁⠀⠀⠀⠀⠉⢹⣯⠀⣏⣿⣿⢻⠇⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣟⣭⣿⣿⣤⣄⡄⠘⣾⠀⠀⠀ ⠀⠀⠀⣼⠇⠀⠀⠀⢀⣿⣷⣎⡜⢹⠀⠀⠀⠀⠀⢀⠀⠹⣇⠙⠻⠟⠁⠀⠀⠀⠀⠀⠀⠀⢀⣴⣋⡉⠀⠀⠀⠀⠀⠀⠉⠳⣿⣀⠀⢀ ⠀⠀⠀⢹⠀⠀⠀⠀⡼⡽⠋⣿⠀⠘⡀⠀⠀⠀⠀⠈⢿⣶⡼⠗⠀⠀⠀⠀⠀⠀⠐⠒⣡⢴⡟⠋⣉⣽⡆⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠈ ⠀⠀⠀⡏⠀⠀⠀⡼⢡⢧⢰⠋⢧⡀⡇⠀⠀⠀⠀⠀⠀⠻⣽⡯⠶⠶⠦⢤⡤⢤⣶⠛⠀⠼⠤⠯⠿⠛⠁⠀⣠⡤⢤⡀⠀⠀⠀⠻⠇⡀ ⠀⠀⢸⠁⠀⠀⡜⢠⠇⡸⠈⡇⠀⠉⠱⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⢤⡄⠙⢯⣿⣏⡀⠀⠀⠀⢀⡿⠃⠀⢠⡿⠀⠀⠙⢧⠀⠀⠀⠀⠉ ⠀⠀⡌⠀⢠⠎⣠⠃⢠⠇⠀⠘⢦⣀⠀⠀⠀⠀⠀⠀⠀⠙⢆⠒⠚⢽⣆⣰⠟⠉⠉⠻⣦⠀⠀⠿⠇⠀⠀⢸⡆⠀⠀⠀⣸⡇⠀⠀⠐⣶ ⠀⡰⢁⠔⢁⡴⠁⠀⡜⠀⠀⠀⠀⠈⠙⡄⠀⠀⠀⠀⠀⠀⠀⠑⢢⡄⠙⣷⡄⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠻⢦⡤⠴⠟⠁⠀⠀⠀⠉ ⡴⡥⠦⠔⠁⠀⠀⣰⠁⠀⠀⠀⢀⣠⣤⠬⢷⣄⡀⠀⠀⠙⠻⣍⠁⠀⠀⠈⠷⣶⣄⣀⣽⢷⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⣠⢟⣿⣋⣡⣿⣻⠛⠓⢾⣏⠉⠁⠀⠀⠀⠀⠀⠙⢿⠛⠛⣛⣷⣬⡝⣲⣄⡀⠀⠀⠀⠀⠀⠀⠀⣠⢤⣀ ⠀⠀⠀⠀⣀⡞⠀⡔⡶⠛⠉⠉⠉⣹⣧⣼⣿⠛⠀⣤⡴⢿⠷⣤⣀⠀⠀⠀⠀⠀⠀⢱⡾⠏⠁⠉⠉⠋⠉⠉⠉⠛⠻⣷⣶⣞⠁⠙⠢⢄
⠀⠀⠀⠀⠀⣀⣠⣤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⣀⡀⠀⠀⠀⠀ ⠀⠀⢀⣴⠟⠋⠉⠉⠉⠉⠙⠻⣷⣄⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⢀⣴⠿⠋⠉⠉⠉⠉⠙⠻⢷⣄⠀⠀ ⠀⣴⡟⠁⢀⣤⡶⠞⠛⠷⢶⣄⠀⣻⣧⣴⠶⠞⠛⠛⠋⠉⠉⠉⠉⠉⠛⠛⠛⠷⢶⣴⣿⡁⣠⣴⠾⠛⠛⠶⣦⣄⠀⠹⣧⠀ ⢰⡟⠀⢠⡿⠁⠀⠀⠀⢀⣠⡿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣦⣄⠀⠀⠀⠈⢻⣆⠀⢹⣇ ⢸⡇⠀⢸⡇⠀⠀⣠⣴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢷⣦⡀⠀⠀⣿⠀⢸⣿ ⠘⣿⡀⠘⣧⣀⣼⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⣸⡏⠀⣼⡇ ⠀⠘⢷⣄⣸⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣀⣼⠏⠀ ⠀⠀⠀⢹⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠁⠀⠀ ⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⢹⣇⠀⠀ ⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠠⣿⣇⣨⣿⣷⠀⠀⢀⣠⡶⠟⠛⠛⠛⠷⣦⣄⠀⠀⢰⣿⣅⣸⣿⡇⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀ ⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠻⢿⣿⡿⠏⠀⣴⡟⠋⠀⠀⠀⠀⠀⠀⠈⠹⣷⡀⠈⠻⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀ ⠀⠀⢸⣿⠀⠀⠀⢀⣀⣤⣤⣤⣄⡀⠀⠀⣾⠋⠀⠀⠀⢰⣶⣶⣶⠀⠀⠀⠈⢿⡄⠀⢀⣠⣤⣤⣤⣀⡀⠀⠀⠀⢀⣿⠀⠀ ⠀⠀⠘⣿⠀⠀⠀⠿⣿⣿⣿⣿⣿⠿⠀⣸⡇⢠⣦⣀⠀⠀⣹⣿⡃⠀⠀⣀⣤⠘⣿⠀⠿⣿⣿⣿⣿⣿⠿⠀⠀⠀⢸⡟⠀⠀ ⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⠀⠉⠛⠛⠛⠋⠉⠛⠻⠛⠋⠁⣰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⠀ ⠀⠀⠀⠈⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣤⣀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠶⠶⠶⠶⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠛⠷⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠾⠛⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠷⢶⣤⣤⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣤⣤⡶⠾⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡔⠋⠀⠀⠀⠀⠀⠀⠉⠉⠳⢶⣲⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠈⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡄⠉⠓⠲⢤⣄⠀⠀⠀⣀⣤⣤⣀⠀⢀⣠⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠾⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣧⣽⣆⠀⠀⠀⠈⠙⠲⢾⡏⠀⠀⠉⠙⠿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⠴⠚⠉⠁⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢟⣿⡏⢹⣿⣆⠀⠀⠀⠀⠀⡼⢹⡄⠀⠀⠀⠀⠀⠙⢷⡀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⡴⠚⠉⠉⠉⠳⣦⡀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⣰⠟⢻⡇⢸⡇⠿⣆⠀⠀⠀⠐⠃⠀⢧⠀⠀⠀⠀⣀⣀⡤⣷⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⡏⢣⠀⠀⠀⠀⠀⠀ ⠞⠁⠀⠀⠀⠀⠀⠀⠈⠻⣆⠀⠀⠸⣦⠀⠀⠀⠀⢠⡾⠛⠀⣼⠏⠀⢸⡇⢸⡇⠀⠹⣦⠀⠀⢀⠀⠀⠸⣤⠶⠛⠋⠙⣿⡆⢻⣧⡀⠀⠀⠀⠀⠀⠸⡆⠀⠇⠀⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣳⡀⠀⠈⢳⡄⣠⡾⠋⠀⠀⣼⡟⠀⠀⢸⣇⠸⣧⠀⠀⠹⣧⡐⠋⠀⠀⢀⡿⠀⠀⠀⠀⠀⢻⣼⠀⠙⢦⣄⠀⠀⠀⠀⠃⢰⠶⢤⣀⠀⠀⠀⠐⠀ ⢧⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⠟⠛⠶⢤⣤⡵⠋⠀⠀⢀⣾⣿⠀⠀⡀⠀⢿⡀⢹⡄⠀⠀⠫⠿⢶⣛⡛⠋⠁⠀⣿⡇⠀⠀⠀⢿⡆⠀⠀⠈⠻⣦⡉⠁⢀⡼⠀⠀⠉⡆⠀⡀⠠⠄ ⠈⢧⠀⠀⠀⠀⠀⣰⣻⡿⠁⠀⠀⠀⢀⣾⡃⠀⢀⣴⠟⢹⡏⠀⣸⠇⠀⠸⣇⠘⣷⠀⠀⠀⠀⢮⣿⡇⠀⠀⠀⢸⡇⠀⠀⠀⠘⣇⠐⣄⡀⠀⠈⠻⣞⣋⣀⣀⣀⣀⡇⠀⠀⠀⠀ ⠀⠀⠱⡄⠀⠀⣸⠋⠉⠀⠀⠀⠀⢀⣾⠋⠁⣠⠞⠁⠀⣿⠁⢀⣿⠀⠀⠀⢿⡆⢻⡇⠀⠀⠀⣾⣿⡿⠀⠀⠀⠈⣧⠀⠀⠀⠰⣿⡀⠈⠛⠒⠋⠉⠉⠉⠉⠉⣉⣭⡟⠒⠀⠀⠀ ⠀⠀⠀⠙⢦⣀⣿⢠⣀⡀⠀⠀⣀⣾⠋⢀⡶⠁⠀⠀⠀⡿⠀⣼⡇⠀⠀⠀⠸⣿⡄⢿⡄⠀⢠⣿⡟⢳⠀⠀⠀⠀⢹⡄⠀⠀⢸⣿⣷⣀⣀⣀⣀⣀⣀⣤⡴⠞⠉⠀⠙⣷⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⣾⠇⠀⠀⠀⢹⡟⣠⡞⠑⠒⠲⠦⢴⣧⠀⣿⠁⠀⠀⠀⢠⡏⢿⣌⢿⡄⣼⡟⠀⢸⡇⢀⠉⠁⠈⣷⠀⠀⠀⢻⠀⠒⢦⠀⢲⠀⠀⠙⠷⣧⣀⡀⣀⣨⣧⣤⠶ ⠳⢦⣀⠀⠀⠀⢸⣿⡀⠀⠀⠀⣿⢱⠟⠀⠀⠀⠀⠀⠀⣿⠀⣿⠀⠀⠀⠀⢸⡇⢀⠹⣷⣿⡿⠁⠀⣀⣿⡀⠈⠉⠀⢘⣧⠀⠀⢘⣆⠀⢸⣀⠘⡇⢀⣀⣀⣼⠷⠛⠛⠛⠻⠿⣦ ⠀⠀⠈⠳⣄⠀⢀⣿⡇⠀⠀⢸⣟⡟⠀⠀⠀⠀⠀⠀⠀⢿⠀⣿⠀⠀⠀⠀⣾⡇⣿⠀⠈⣻⣿⣆⠀⠀⠘⣿⠀⠀⠀⠘⣿⣧⠀⠀⢿⡄⣾⠀⠀⣷⡩⢭⣅⢀⠀⠀⠀⠀⠀⠀⠉ ⣆⠀⠀⠀⠈⠉⠀⢹⣿⡄⠀⣾⣿⠁⠀⢤⣤⣤⣭⣶⡤⣸⡧⣿⡀⠀⠀⠀⣸⣧⣿⠀⠀⣿⠀⠙⠧⡀⠀⠙⣦⠀⠀⠀⣿⠙⣷⡄⠘⣧⠟⠀⠀⣻⡄⠀⣿⢸⡞⣷⣄⠀⠀⠀⠀ ⠈⠳⠀⠀⠀⠀⠀⣼⣿⣷⠀⣿⣿⣄⣠⣾⠟⠉⣩⣿⣷⣌⢿⣿⡇⠀⠀⠀⣿⡟⣿⠀⠀⣿⠀⠀⣀⡀⠀⠀⠹⣦⠀⠀⢹⡆⢸⠷⣄⠙⣧⠀⠀⢸⡇⠀⢿⡌⢷⣻⡍⠛⢦⡀⠀ ⠀⠀⢀⠁⠀⢀⣼⣫⣿⣟⣇⢿⣿⡏⣿⡏⠀⣼⣁⢸⣿⣿⡎⢿⣿⡀⠀⠀⢸⣿⣿⡄⠀⣿⣀⣭⣽⣶⣦⣤⣄⠙⣦⠀⢸⣇⢸⡇⠈⣷⣿⣆⠀⠘⡇⠀⢸⣇⠸⣯⣷⠀⠈⠻⣦ ⠀⠈⠀⠀⣠⣾⣿⠏⣾⣿⣝⠻⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⡇⠈⠻⢿⣄⠀⣈⣿⣿⢻⣶⠟⢏⣇⠈⢻⣿⣿⣿⣿⣿⣷⡌⣿⢸⣧⠀⢹⠙⣿⠄⢀⡇⠀⢸⣿⡀⢻⣿⣆⠀⠀⠈ ⠀⠀⣠⡾⠟⠁⣿⠀⣿⣿⠿⣧⢻⣾⣮⡇⠀⢻⣿⡿⢿⣿⡇⠀⠀⠀⠈⠛⠛⠛⠙⠃⠀⢠⣿⣿⣷⣿⣿⣿⣿⢻⣿⣌⠻⢿⣿⣿⣆⢸⡄⠀⠀⢸⡇⠀⢸⣾⣧⠀⢿⡙⢳⣄⠀ ⠀⠉⠁⠀⠀⠀⡇⠀⣿⠏⣠⡾⠻⣿⡿⠚⠶⠾⠿⠿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⣿⡿⣿⣿⣿⠀⣿⣿⠟⢛⡿⠷⠙⢿⠁⠀⣠⣿⡇⠀⠘⡿⢹⣆⠘⣷⡀⠙⠧ ⠀⠀⠀⠀⠀⠀⣧⣼⢏⣴⡟⠀⢻⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣧⣄⣿⣿⣿⠇⠀⣿⣿⠀⢸⡇⠀⠀⠀⣠⣾⢙⣿⠁⠀⢰⡇⠀⢿⣆⠘⣷⡀⠀ ⠀⠀⠀⠀⠀⣠⣿⣿⣾⣿⠁⠐⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠤⢤⠤⠚⣻⣻⡆⣼⠃⠀⠀⣾⠏⢀⡾⠻⣦⡀⠘⡇⠀⠈⢻⣄⠘⣧⠀ ⠀⠀⣠⣶⠿⠿⠛⣿⡟⣿⠀⢸⣿⠟⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡿⠿⣇⡿⠀⠀⠀⠀⣰⠿⠽⠶⢤⣻⢦⡇⠀⠀⠀⠙⣧⡘⣷ ⠀⠀⠀⠀⠀⠀⠀⠸⡄⢻⡀⠀⣿⣆⠀⠈⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣞⣻⣤⠴⠟⠁⠀⠀⢠⡼⠋⠀⠀⠀⢀⣈⡻⠝⢲⣄⢀⣀⠈⠻⢌ ⠀⠀⠀⠀⠀⠀⠀⣠⣿⡌⢷⡀⠹⢿⣷⣄⠀⠙⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢉⣾⠃⠀⠀⠀⠀⣠⣿⣁⣒⣒⣲⣿⣭⣥⡴⠖⠚⠋⠉⠉⠛⣦⢠ ⠀⠀⠀⠀⠀⠀⣰⣿⠋⠹⣾⣷⣄⠿⣿⠻⣦⠀⠈⢻⡷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⣾⠇⠀⠀⠀⠄⣠⣿⡿⢿⡿⠋⢛⣳⠟⠁⠀⠀⠀⠀⠀⠀⠀⠸⠀ ⠀⠀⠀⠀⠀⣼⡿⣿⠀⠀⠀⢻⣿⢦⣿⠀⠋⣧⠀⠀⢻⡄⠉⠛⣶⡤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠔⠚⠉⠁⣰⠏⠀⢀⣤⠶⣿⠏⠁⠀⣸⢠⠟⣽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳ ⠀⠀⠀⠀⠈⠀⠀⣿⣤⡀⠀⣸⣿⠀⠹⣏⣸⡿⢂⣀⣈⣿⣶⣾⣁⠀⢀⣴⠟⠛⢿⡄⠀⠀⠀⠀⠀⢀⣴⠋⣀⡴⠏⢁⡼⠃⠀⠀⢠⡇⣾⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⡇⣇⠀⡿⣿⠀⠀⣹⠏⠀⠀⠀⠀⠀⠀⠀⠙⣷⡟⠁⠁⢠⢸⣿⠀⠀⠀⠀⣠⣾⣫⡾⠉⠀⣠⠟⠁⢀⣀⡤⣾⡴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠆ ⠀⠀⠀⠀⠀⠀⠀⠸⣷⢹⣰⡇⠻⢀⡴⠋⠀⠀⠠⠤⠤⣤⣤⣄⠀⠈⠳⣤⡀⢸⣿⣿⠀⠀⣤⢾⣿⢛⡟⠀⢀⡼⢫⢹⣰⠏⠀⣰⠋⠀⠀⠀⠀⠀⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠛⠧⠻⣷⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠢⢤⣈⡻⣾⣧⣿⠀⣠⡴⠋⠀⣼⠃⣰⠟⠁⢸⠈⡇⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣼⠃⠀⠀⠀⠀⠀⠀⣐⠒⢒⢲⣦⣄⡀⠀⠈⠙⢻⣿⣿⠜⠁⠀⢠⠔⣿⣿⠋⠀⠀⢀⣿⡇⢀⣟⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡀
⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠸⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡀⠀⠀⢻⡄⠀⠀ ⢀⠀⠀⠀⠀⡞⠀⡀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⠀⠈⢧⠀⠀ ⠀⠀⠀⠀⢰⢁⠀⣇⠀⠀⠀⠀⠀⠈⠀⠐⣄⡀⠀⠀⠤⢤⠊⢮⠢⡄⠀⠘⡇⠀ ⡀⠀⠀⠀⡎⡜⣄⣌⣆⠤⡂⡄⠀⠀⠆⢄⠙⡛⠲⡔⢳⢊⠁⢛⣾⠁⠀⠀⠁⠀ ⠁⠀⠀⠀⣧⣁⣈⡳⡀⠑⠜⠾⢔⡤⣘⡀⠉⠻⢍⡉⠉⠀⠺⡑⢼⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⠿⣽⣿⡀⠀⠒⠒⠂⠀⠉⠢⢴⣵⣶⣻⣷⣦⣬⢺⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣷⢃⠀⡿⡯⣻⠀⠀⠀⠀⠀⠀⠰⣿⣽⣻⣽⡍⠛⣿⢿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⡆⠐⠪⠽⠉⠀⠀⠀⠀⠀⠀⠀⠀⣻⡥⠚⣀⡀⠁⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠚⠉⢀⢜⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⠰⡲⣟⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢻⠏⠀⠀⠀⠀⠀⠀ ⢠⡀⡀⠱⣄⠹⢇⡑⠠⡀⠘⠏⠙⠽⠀⠀⠀⠀⠀⠀⡀⡴⠋⠀⠀⢀⠄⣀⠀⡆ ⠀⢳⣿⡦⣄⣁⣦⠤⡝⣫⣑⠤⣀⣀⡀⠠⠤⠐⠈⢡⡮⠀⠀⢀⣴⡫⠔⠉⠢⣱ ⠀⠀⠈⠉⠉⣁⠤⡰⠒⡩⡽⠋⢩⣿⠄⠠⠄⠄⢊⠩⠒⠒⢻⣍⣴⣤⡀⢀⣀⠀ ⠀⠀⠀⢠⠎⠀⢠⠁⡴⡱⠀⠀⠈⠅⠀⢀⠠⠂⠁⠀⠀⠀⡘⠘⠀⢀⠀⠁⠀⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⡀⠀⠀⠀⢀⣀⣀⣤⣀⣀⣾⣿⣟⣉⣛⣛⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⠤⠤⡀⠀⠀⠀⠀⠀⠻⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠋⠀⠀⠀⠘⡀⣄⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀ ⠇⠀⠀⠀⠀⠀⡇⢳⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀ ⠀⣀⣀⣀⣀⡀⡾⢛⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⡍⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀ ⠀⠉⢛⣋⡛⠁⢳⣾⣿⣿⣿⣿⣿⣿⡟⠀⠹⣿⣿⣿⣿⣿⣿⣧⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⡄⡀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣄⣀⠀ ⠇⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⠁⠴⠒⠉⠀⠘⣿⣿⣿⣿⡎⢷⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⠃⠀ ⠘⡄⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣧⠈⢧⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀ ⠀⠳⢄⣀⣀⣾⣿⣿⣿⣿⣿⣿⠀⠀⢀⣠⣤⣀⠀⠀⠀⠻⣿⣿⠀⣴⣢⡤⠀⠘⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⢻⣿⣿⣿⣿⡎⢀⣼⡿⠟⠋⠁⠀⠀⠀⠀⠈⠱⠀⠀⠉⠙⠛⢶⣼⣿⣹⣿⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⡇⢸⣿⣿⣿⣿⠓⢻⡽⠀⠀⠀⠀⠀⢀⡠⠤⠤⣀⠀⠀⠀⠀⠀⠀⠀⢸⡿⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠸⠸⣿⡿⣿⠀⠀⠀⠀⠀⠀⠀⡔⠁⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠇⠀⠳⣿⣷⣿⡇⠀⠀⠀⢀⡀⠀⡇⢀⡀⠀⠀⠀⢈⠀⠀⠀⠀⢀⣠⣾⡇⠀⠀⠀⠀⠀⠀⢠ ⠀⠀⠀⠀⠀⠀⡄⠀⠸⣏⠹⣷⡀⠀⢠⠋⡈⢠⠋⡱⠁⣀⡀⠀⡼⠀⠀⠀⠀⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠂ ⠀⠀⠀⠀⠀⠀⠘⡆⢠⠟⣷⢦⣿⠢⣬⠀⣧⠃⢸⡡⢊⡴⠃⠈⠀⠀⢀⣠⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣡⠎⠀⢩⣸⣿⡄⠹⠐⠀⠀⠀⡀⠺⠚⣡⣾⠶⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⡄⠐⠁⣻⣿⣄⠀⠀⠀⠀⠀⢠⡏⠉⠁⢰⢻⣿⣟⣻⣿⣿⣿⣿⣿⡄⠀⢰⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⠓⡏⢹⠀⠀⠀⠀⠀⢸⠁⠀⠀⠘⢿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣦⡏⢇⠀⠀ ⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣆⣸⡃⠀⠀⠀⠀⡠⠃⠀⠀⠀⠀⣿⣿⡇⢻⣿⣿⣿⣿⣿⣿⣿⣷⣾⠀⠀
can we all just hold hands 😞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⢟⣵⣶⣿⣿⠉⢍⢠⡈⠻⠶⣬⡙⢷⣮⠙⠿⣿⣷⣶⣄⠀⠀⢀⣠⢖⡡⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠒⠤⠄⣈⡑⠢⠤⢀⡴⠛⣵⣿⣿⠟⠉⢹⡶⠈⣌⢻⡄⠀⠘⣿⣷⣹⣷⣄⠹⣿⠛⢻⣷⣶⡯⠶⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣹⠟⢲⡞⠁⣼⣿⣿⠏⠀⢠⢸⣇⡀⣿⡎⢿⣆⠸⡌⠻⣿⣿⣿⣧⠈⢷⡀⡿⣝⣧⠀⠈⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡟⢀⡞⠀⣼⣿⡿⢃⠀⣠⠏⣼⣿⡇⢿⣧⢘⣿⣿⣧⠀⠙⠿⣿⣿⣷⡈⢷⡀⠘⣞⢧⡀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⣷⡾⢡⢤⣯⣿⢣⢎⣾⡟⢠⣿⡿⣿⢸⡏⢿⣿⣿⣿⣷⡀⠘⣿⣿⣿⣷⡈⢷⡀⠘⣯⣳⣦⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣧⡟⣟⣾⣯⡟⣼⢻⢃⣿⡿⠁⠸⡌⣿⡀⠻⣟⣿⣿⣿⣄⠈⢿⣿⣿⣿⣌⢿⣄⠘⢷⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⢹⣿⣿⢿⢱⡇⢸⣿⡿⠁⠀⣀⣷⣿⣧⠀⠙⢦⡙⠻⣿⣷⣦⣻⣿⣿⣿⣎⣿⣦⠀⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⢧⣿⣿⡿⠈⢸⢇⣿⣿⣡⠔⠊⠁⠀⢳⣿⡆⠀⠀⠙⢦⡈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣧⡀⠹⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣼⣿⣿⣯⢇⣿⣸⣿⠁⠀⢀⠀⣀⠀⠀⠻⣿⡄⠀⠀⠀⢛⣽⢧⣤⣌⡿⣿⣿⣿⣿⣿⣿⣆⠘⢿⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⣿⣿⣿⣿⢿⣿⡇⣸⠃⢀⣾⣿⣿⣦⡀⠀⠀⠙⢿⡄⠀⠀⢼⣅⣼⣿⣿⡿⣯⣽⣿⢻⣿⣿⣿⣷⡀⠙⢦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⢸⣿⡇⣿⢙⣿⣏⣠⣿⣿⡇⠀⠀⠀⠈⠻⣆⠀⠸⡿⢿⣿⣿⠇⢹⠿⣿⡈⣿⣿⣿⣿⣿⣷⣾⣷⣄⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⠸⣿⣷⣿⣿⡇⢿⠿⢿⡟⡋⠀⠀⠀⠀⠀⠈⠣⡀⠑⢤⣤⣶⠀⠀⠀⣿⡇⣿⣿⣿⣿⢹⡟⠿⣿⣿⣷⣤⡀⠀ ⠀⠀⢠⣿⣿⠏⣿⣿⣿⢀⣿⡏⣿⠉⠛⠊⠳⣤⣶⠇⠀⠀⠀⠀⠀⠀⠀⠈⠓⠀⠀⠀⠀⠀⠀⣿⣧⣿⣿⣿⣿⣷⣷⡀⠀⠈⠉⠉⠙⠓ ⢀⣴⣿⣿⠃⠀⣿⣿⣿⢸⣿⠐⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢻⣿⣿⣿⡏⠿⣿⣿⣧⡀⠀⠀⠀⠀⠀ ⠋⣸⡿⠁⠀⠀⣿⣿⣿⣿⣿⡄⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⢸⣿⣿⣿⣿⣦⣤⠟⠋⠉⠒⢦⡀⠀⠀ ⡴⠏⠀⠀⠀⠀⣿⡿⠋⢹⣿⣇⠘⣇⠙⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠋⠀⣿⣿⣿⣿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡴⠁⠀⠀⢸⣿⣿⡄⢹⡄⠀⠑⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠊⠀⠀⢰⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡼⠀⠀⠀⠀⠈⣿⠻⣿⣟⣿⣄⠀⠀⠀⠉⢲⡤⢄⡀⠀⠀⠀⡠⠞⡟⠀⣠⠀⠀⣾⡿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠘⡄⠈⠻⣿⣿⠓⠤⠀⠀⠀⠙⠦⣈⠉⠒⠉⢀⡞⢀⠜⠁⠀⣸⠟⣠⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠀⠀⢂⠀⠀⠀⠘⠆⠀⠀⠉⠓⣄⠀⠀⠀⠀⠀⠀⠉⢲⣤⣞⡊⠁⠀⠀⠚⠁⢰⢻⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⣿⣇⠀⠈⢆⢀⠀⠀⠀⠀⠀⠀⠀⠈⢢⡀⠀⠀⠀⠀⢠⠋⠘⡄⠈⠢⡀⠀⠀⢀⠇⢸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣿⡟⣆⠀⠀⢠⣧⠀⠀⠀⠀⠀⠀⠀⠀⠑⠢⡀⠀⢠⠃⠰⠲⡜⡆⠀⠈⠢⣠⠎⠀⣿⡟⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⡄⠀⠀ ⠀⠀⠀⣿⣿⠁⣿⣦⠀⠀⠙⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠃⠀⠘⠂⠃⠸⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⢠⠃⠀⠀⠈⣇⠀⠀ ⠀⠀⠀⣿⣿⠀⣿⣿⣷⡄⠀⠈⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⢠⣿⠀⠀ ⠀⠀⠀⣿⣿⠀⢻⣿⣿⣿⣦⣄⠀⡳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠀⠀⠀⠀⢀⡜⢁⠄⠀⠀⢸⣿⠀⠀
⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢘⡆⠀⠀⠀⣀⣤⣤⣤⣂⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣆⠀⢀⢔⣾⣯⣶⣿⣿⣿⣿⣿⠛⠉⢉⠞⢀⣾⠀⠀⠀ ⠀⠀⠀⠉⠉⢹⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣴⣿⡟⠀⠀⠀ ⢀⣄⣀⣠⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣄⡀⠀ ⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡄ ⠀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡉⠕⠀⠀ ⠘⠁⢸⣿⣿⣿⣿⣿⣿⡟⠏⠀⢰⣿⣿⣿⣿⣿⠈⢿⣿⣿⣷⡈⠂⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⡏⣀⣈⣥⣄⢻⣿⣿⣿⣿⣐⠈⣿⣿⣿⡧⠔⠀⠀ ⠀⠀⠈⠙⢿⡿⢿⣿⢧⠀⠁⢀⠠⠀⠟⠁⠈⠉⠛⠋⢿⡟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⢨⠐⡶⠝⢀⠤⠀⠀⠀⠀⠀⡀⠀⠀⠀⠢⣸⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠓⠤⠍⠡⢄⡀⠀⠀⠀⠀⠀⠀⢀⡠⠔⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢫⠀⠀⡖⠒⠋⠁⠀⠀⠀⠰⠆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠎⠐⠠⢇⡀⠘⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡴⠃⠀⠀⠀⠀⠈⠑⠂⠽⠮⠒⢄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠔⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠲⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⠁⠀⣠⡦⠀⢠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⣴⠋⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣣⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠎⡀⠀⠀⠀⡼⠁⠀⢠⠇⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠙⢿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⠃⡔⠀⠀⢀⣼⠃⠀⠀⡼⠀⠀⡄⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⢇⠞⠀⠀⢀⣾⠇⠀⠀⢠⠇⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠤⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀ ⠀⠀⠀⠀⢠⡟⠑⠀⠀⠀⣼⣿⠀⠀⠀⣼⡄⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠰⠣⢤⡴⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀ ⠀⠀⠀⢠⠏⡗⠀⡀⠀⢰⡟⣿⠀⠀⠀⢻⠁⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠘⡄⠀⢣⠀⠀⠀⠀⠀⢧⣠⠀⠀⠀⠀⢠⠀⠀⢿⡆⠀⠀ ⠀⠀⠀⡞⢸⠁⢠⠁⠀⣿⢁⣻⠀⠀⠀⢸⠀⠀⠀⡄⢸⠀⠀⠀⠘⡀⣸⡀⠀⢧⠀⠈⢣⢄⣀⠠⢴⠊⠙⡇⠀⠀⠀⠀⣇⠀⢸⣧⠀⠀ ⠀⠀⠀⡇⣸⠀⠐⠀⢸⡟⠉⣛⡇⠀⠀⠈⡄⠀⠀⢿⠈⡄⠀⠀⠀⢃⠈⠁⠁⠘⡆⠀⠈⡎⡇⠀⠘⡄⠀⢱⡀⠀⠀⠀⢸⠀⢸⣿⠀⠀ ⠀⠀⢸⡇⡟⡆⠀⠀⢸⠁⠀⢿⢸⠀⣦⠀⣇⠀⠀⠘⣇⠘⡀⡄⠀⠘⡆⡇⠀⠀⢹⠀⠀⠇⡇⠀⠀⡇⠀⠀⠑⢄⠀⠀⠀⡇⢸⢹⠀⠀ ⠀⠀⠈⣧⡗⡀⢰⠀⢈⢀⣤⣾⣿⢦⡽⠶⠼⣆⡘⣄⠘⢧⣀⠘⣤⢔⣺⣿⣶⣤⣄⣷⠀⠀⢇⠀⠀⡷⣄⠀⠢⡀⠑⠤⠄⣁⣇⣾⠀⠀ ⠀⢀⣤⣾⣷⡷⣸⣀⣾⣿⣿⣿⠿⢻⣿⡄⠀⠈⠉⠉⠁⠀⠉⠛⣿⣿⡿⠟⢿⣿⣿⣿⡄⠀⢸⠀⠀⡷⣌⠑⠢⣬⠶⣴⣾⣿⣿⣇⣀⣀ ⣰⡿⢻⠟⢻⡇⣿⣿⣿⣿⡿⠀⠀⠀⠰⢷⠀⠀⠀⠀⠀⠀⠀⠀⠈⡟⠁⠀⠈⠬⢿⣿⣿⣧⣸⠀⠀⡇⠈⠑⠲⠤⢀⣷⣿⡿⣿⣶⣋⠉ ⠱⠁⣎⣀⡜⢇⠙⠛⣿⡃⠀⠀⠀⠋⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠐⠂⠀⠀⣿⣿⠛⠻⠀⢸⣷⣏⠳⡄⠀⠘⣿⣇⣧⡏⠹⡉⠀ ⣳⣀⣽⠛⢁⣼⡆⠀⢸⣧⠀⠳⠤⠶⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠦⣤⣀⡖⠚⢹⣿⠀⡄⠀⣼⢯⣄⣁⣷⣀⣸⣿⣿⠃⢱⡀⠙⠦ ⠳⠭⢤⡒⢁⣼⣿⡀⡀⢼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⠃⢠⣏⣤⡀⢀⠟⠋⡱⠻⣯⠀⠈⢿⣠⣠ ⠀⠀⣄⣀⡠⡞⠏⢷⣧⣾⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡟⢀⣼⠋⠤⠔⠊⣠⠞⠀⠀⢿⣆⠀⠀⠉⠉ ⠀⠀⠈⠛⠋⠁⠰⡘⣿⡏⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⢀⣾⡏⠀⣀⡠⠚⠁⠀⠀⠀⠈⠛⠒⠶⠶⠀ ⠀⠀⠀⠀⠀⠀⠀⠑⠘⣷⠀⠉⠲⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⢋⣿⠇⣠⠏⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⣀⡀⠀⠉⠓⠤⣀⠀⠀⠀⣀⣀⣀⠤⡴⠖⠋⡱⢃⣾⣏⡔⠁⠀⠀⣀⣀⣀⠤⠤⠤⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠑⠲⢄⡀⠀⠀⠀⠀⠙⠛⠓⠀⠀⠀⣀⣈⣉⣉⣿⣅⣔⣁⣀⠒⠛⠓⠛⠉⠁⢉⠟⠉⠉⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠢⣄⠀⠀⠀⣠⠤⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠒⠢⠄⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠒⠤⠬⢣⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢱⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠒⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠳⡀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡶⠶⠶⠶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠀⠀⠀⠈⠛⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⡟⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠹⣧⠀⠀⠀⠀ ⠀⠀⣠⣾⡿⠀⠀⠀⠀⣴⣿⣏⣹⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣹⡆⠀⠀⠀⠀⢻⣷⣤⡀⠀ ⢀⡾⢡⣾⠃⠀⠀⠀⠀⠹⣿⣿⠿⠀⠀⣦⠀⠀⢠⡆⠘⢿⣿⡿⠃⠀⠀⠀⠀⠀⢻⣿⢿⡄ ⢸⣇⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠷⠶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣸⣧ ⣼⠿⣷⣟⣷⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡴⣿⣿⠟⣿ ⢿⡀⠈⠙⠻⢶⣭⣟⣿⠶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⡶⢾⣛⣯⡷⠿⠋⠁⠀⣿ ⢸⡇⠀⠀⠀⠀⠀⠉⠙⠛⠛⠓⠶⠶⠿⠶⠤⠴⠴⠾⠿⠟⠒⠛⠛⠋⠉⠁⠀⠀⠀⠀⢀⣿ ⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇ ⠀⠹⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⠀ ⠀⠀⠙⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⠀⠀ ⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡾⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣙⣿⡷⠶⣤⣤⣀⣀⣀⣀⣠⣤⠴⠶⣿⣏⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡶⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠷⠶⠶⠶⠶⠶⠶⠞⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢤⣀⣠⡾⢛⣦⣄⣰⠶⣆⣾⡙⣶⡤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡤⢤⣀⣿⡄⡟⠁⡇⢸⡅⠈⡿⠀⣿⡏⠹⡿⠀⢿⡏⠙⣆⠀⠀ ⠀⠀⢠⡖⢲⡸⡅⠈⣿⠇⢷⡇⢸⡇⠀⣇⠀⡇⠀⢻⣷⠀⢷⠀⣼⠀⢰⠇⠀⠀ ⠀⠀⠘⣧⠀⣇⢧⠀⢸⡄⠸⡇⢸⣷⠀⢿⠀⣷⠀⡿⢹⠀⢸⣤⡇⠀⣾⠓⢦⠀ ⢠⡞⠳⡿⣄⡸⣼⡆⢸⡇⠀⡇⠀⣿⡄⢸⠀⢹⢰⡇⢸⡆⠘⣿⠁⢀⡏⠀⣼⠀ ⠘⣧⠀⣟⠉⣧⢹⡇⠸⡇⠀⣷⠀⣿⡇⢸⡇⠸⣿⠀⣼⡇⢠⡏⠀⢸⠃⢰⠇⠀ ⠀⠘⡆⢹⡀⠸⡆⢷⠀⡇⠀⢻⠀⢸⣿⢸⡇⢀⡏⢰⣿⡇⣸⠁⠀⣾⠀⣿⣄⠀ ⢀⣴⢿⡄⢧⠀⢹⣼⡀⣻⣀⣘⣧⣀⣿⣼⣇⣼⣅⣾⣸⣧⡏⠀⠀⡏⢸⣧⠈⢳ ⣾⠁⣿⣷⡘⣦⡴⠿⠟⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠳⣤⣰⡇⣿⡟⠀⢸ ⢹⡄⠙⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⠟⠁⠀⣼ ⠀⢻⡄⠹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⢀⡏ ⠀⠀⢻⡄⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀⢸⠇ ⠀⠀⠀⢻⡘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀ ⠀⠀⠀⠈⣷⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⢀⡏⠀ ⠀⠀⠀⠀⢻⡄⢰⣿⡏⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣋⣱⡄⠀⠀⠀⢸⡇⠀ ⠀⠀⠀⠀⢸⡇⠘⠿⡿⠿⠁⠀⠀⣶⡀⢐⣶⠀⠀⠘⠿⠿⠟⠀⠀⠀⠀⣼⠁⠀ ⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠘⠷⠾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀ ⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀ ⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠀⠀ ⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠁⠀⠀ ⠀⠀⠀⠀⠀⣿⣤⣤⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⡾⠋⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡃⠀⣀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡗⠋⠁⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⢻⠀⢀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⢰⡇⠀⠀⣸⠀⡇⠀⠀⠀⠀⠀⠀⢀⠀⠀⡞⠀⢸⠀⢀⡟⡆⠀⠀⠀⢀⠀⠀⢃⠀⠀⠀⠀⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⢸⠃⠀⢀⡇⠘⡇⠀⠀⠀⠀⠀⢰⡟⠀⢰⠃⠀⢸⠀⡸⠀⣇⠀⠀⠀⢸⠀⠀⢸⠀⠀⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⢀⡀⠀⢸⠀⢸⡄⠀⣸⠀⠀⡇⠀⠀⠀⠀⢠⠛⠃⢀⡟⠀⠀⢸⢠⠃⠀⢸⠀⠀⠀⡇⠀⠀⠘⡆⠀⠀⠀⢸⠀ ⠀⠀⠀⠀⠀⣼⢳⠀⡆⢀⣀⡇⠠⣏⣀⠀⢱⠀⠀⠀⣰⠏⢰⠀⡜⠀⠀⠀⣸⡎⣠⠔⢻⢀⣠⣼⡷⠶⢤⣤⣁⠀⠀⠀⢸⠀ ⠀⠀⠀⠀⠀⠇⢀⣷⣿⣿⣿⣿⣾⣄⠙⠣⡘⡆⠀⢰⠏⠀⣼⡜⠀⠀⠀⢀⡿⠛⢁⣠⣾⣿⠿⠛⠓⠒⠿⢧⣝⢳⣦⠀⢸⠀ ⠀⠀⠀⠀⢸⣴⣿⣿⠟⠁⠀⣈⣽⣿⣷⡄⠀⢹⣤⠃⠀⠀⠟⠀⠀⠀⠀⠘⠃⣠⡿⢛⣡⣶⣾⣿⣷⣦⣄⠀⠉⢳⣝⣿⣩⠀ ⠀⠀⠀⠀⣼⣿⣿⠃⠀⢠⣾⣿⣿⣿⣿⣿⣆⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠛⢰⣿⣿⣿⣷⣿⣾⡟⢿⣷⠀⠀⢻⡜⣿⠀ ⠀⠀⠀⠀⣿⣿⡏⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣟⣿⣿⣟⣷⡀⢸⡆⠀⢸⡇⣹⡷ ⠀⠀⠀⢻⣿⣿⣧⠀⢸⣿⣿⣿⣿⣿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⠿⣯⣿⠟⡛⠓⣾⠁⠀⣼⣷⠟⠁ ⠀⠀⠀⠀⣇⠙⠿⣦⡈⢿⡛⢷⠁⢠⣼⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣟⣀⡀⠰⠂⠀⡠⠋⠀⠈⢁⡞⠀⠀ ⠀⠀⠀⠀⠸⡄⠀⠀⠁⠈⠛⠒⠚⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⣀⣀⣀⠀⠀⠀⠈⠉⠛⠒⠒⠋⠀⠀⠀⢀⡞⠀⠀⠀ ⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠶⠒⠶⠾⠍⠛⠛⣛⠻⣾⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⢀⣀⣠⣌⣙⣛⡏⢧⠀⠀⠀⠀⠀⢶⣖⣚⣉⣀⣠⠄⠀⠀⠀ ⠀⠀⢠⡀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣀⡴⠒⠉⠉⠀⠀⠀⠀⠀⠉⠻⡄⠀⠀⠙⠁⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⢳⣄⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⢀⡤⠞⠁⠀⠀⠀⠀⠀⠀ ⠀⠙⠲⢦⣬⠵⠟⠦⣄⡀⠀⠠⡀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠤⣴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⢳⣦⠀⠀⠉⠓⠲⠭⢅⣀⡀⠀⠀⠀⠀⠙⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠤⣿⡳⠒⠒⣀⣀⡤⠤⠀⠀⠀ ⠀⠀⠀⠀⢀⠏⢻⡀⠀⣠⠷⣦⡀⠀⠀⡿⣍⠙⠓⠒⠶⠦⠤⣤⡤⠤⠀⠀⠀⠀⠈⠁⠀⠀⠀⣿⠁⡴⢋⠀⠀⠀⡀⠀⠀⠀ ⠀⠀⠀⠀⠈⢠⠞⣧⡴⠁⠀⠀⠙⠒⣤⡷⠌⣳⣄⢀⡴⠳⣄⣴⡷⠤⢤⣤⣤⣤⠤⠤⠤⣤⣴⣿⣾⣤⠚⡄⠀⠀⡆⠀⠀⠀ ⠀⠀⠀⠀⠠⠃⠀⠈⠀⠀⠀⠀⡰⠋⣩⡾⠛⠉⠙⠉⠀⢠⠟⠽⠳⠤⣤⣀⣀⡤⠔⠒⠉⠉⠀⠀⠁⠉⠢⡙⠆⠀⢿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠃⣼⠟⠀⠀⠀⠀⠀⢀⣈⣧⣀⣤⠴⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠓⠲⠄⠀ ⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⣼⡏⠀⢀⣠⣤⡶⠾⠛⠉⢹⠋⠻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⢀⣴⠶⢦⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⡀⠤⡀⠀⠀⠘⢶⣶⣾⣿⣿⣿⣿⣿⣿⣾⣷⣄⠀⠀⠀⠀⠀ ⡎⠀⠀⢰⢔⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀ ⢠⣤⣤⣼⢻⣿⣿⣿⣿⠻⣿⣿⣿⣿⠹⣿⣿⣿⣿⣿⣿⣆⠀⠀ ⠀⠐⠀⢀⣿⣿⣿⣿⠇⠀⢹⣿⣿⣿⡇⡘⣿⣿⣿⣿⣿⣿⢄⡀ ⠆⠀⠀⢰⣿⣿⣿⡟⠐⠁⠀⠹⣿⣿⠸⡀⠙⣿⣿⣿⣿⣿⠔⠀ ⠘⠄⢀⣾⣿⣿⡿⠃⣀⣤⡄⠀⠘⢿⠇⢤⣄⡘⣿⢿⣿⠏⠀⠀ ⠀⠀⠘⡏⣿⣿⡿⢴⡏⠁⠀⠀⣀⣀⠁⠀⠀⠙⠛⣾⡏⠀⠀⠀ ⠀⠀⠀⡀⠿⡿⣇⠀⠀⠀⢠⠀⠀⠀⠰⠀⠀⠀⢀⡷⠀⠀⠀⠀ ⠀⠀⠀⠁⠈⢟⢻⡄⢀⢂⠨⠢⢀⡀⡰⠀⠀⢰⣿⡇⠀⠀⠀⠐ ⠀⠀⠀⠀⢃⠎⡏⣮⢲⠘⠃⠓⡔⢅⣄⣤⣶⣿⣿⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠢⢈⣸⣦⠀⠀⠀⠰⠉⢡⣻⣿⣿⣿⣿⣧⢀⡆⠀ ⠀⠀⠀⢀⣤⣾⣿⣏⡔⠀⠀⢀⠂⠀⠀⣿⡏⣿⣿⣿⣿⣿⣤⠀
⠀⠀⠀⠀⢀⡠⠴⠒⠒⠢⠤⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⠊⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⢄⡀⠀⠀⠀⠀⠀ ⠀⣼⡧⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠛⢦⡀⠀⠀⠀ ⡞⠉⢠⠀⠀⠀⠀⢿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⡀ ⣟⠒⠛⠢⠤⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣣ ⠀⠉⣲⠤⣄⣀⣀⣀⣀⠀⠀⠀⡀⠀⠀⣦⠤⢴⣖⢊⣽⡄ ⠀⠀⠙⡾⠁⣴⡄⢀⢀⠀⠀⠀⢈⣅⠈⠁⠀⠀⣇⢹⣻⠀ ⠀⠀⠀⡇⠶⠉⠀⠈⠊⠓⠊⠀⠘⠛⢠⠤⠀⠀⡏⠀⠁⠀ ⠀⠀⠀⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠁⠀⠀⠀ ⢦⣶⡶⠸⡈⠙⠢⠤⣀⣀⡀⠀⢀⣀⡠⡴⠊⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡿⠿⠿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⣀⡀⠀⢀⣠⣤⣶⣶⣶⣷⣶⣶⣿⣿⣷⣶⣶⣶⣶⣮⣝⡻⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⡤⠔⠒⢤⡀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡜⠉⠀⠀⠀⠀⢳⠀⢀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⠀⠀⠀⠀⠀⠀⠈⡇⣼⢁⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⣇⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀ ⡇⢀⣀⣀⣀⣀⣀⠀⡿⠛⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡻⡆⠀⠀⠀⠀⠀ ⡇⠘⠙⠻⠛⠛⠛⠃⢧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡽⡄⠀⠀⠀⠠ ⡇⠀⠀⠛⠛⠙⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠠⠁ ⡇⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢀⣠⠄⠻⣿⣿⣿⣿⣿⣿⠹⣷⠠⠤⣈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡉⠓⢤⠆⠀ ⢣⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⡿⢀⠴⠋⠁⠀⠀⠀⠹⣿⣿⣿⣿⣿⡇⠻⡇⠀⠀⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢠⠞⠀⠀ ⠈⡆⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⡿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⡼⣧⠀⠻⡄⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀ ⠀⢱⡀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⢿⠀⠀⢙⣀⠀⠀⠀⢿⣿⣿⢿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀ ⠀⠀⠙⠒⠦⠤⣼⣿⣿⣿⣿⣿⣿⣿⢻⡏⠀⢀⣤⣖⣲⣭⡶⠀⠀⠀⠀⠀⠙⢿⣞⠀⠼⠶⣾⣭⣤⣀⠈⢿⣿⡞⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⡿⣻⣿⣿⣿⣿⣿⢸⠀⣠⣾⡿⠿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠘⠆⠀⠀⠀⠈⠉⠛⣿⣦⣿⡇⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠃⢿⣿⣿⣿⣿⣿⠸⠴⢫⣱⠃⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣧⢿⣿⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⠀⢸⠙⣿⣿⣿⣿⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⡰⠊⠉⠀⠀⠈⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣂⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⠀⠘⡇⣿⣿⠟⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⡆⠀⠘⢾⣿⣸⢻⣷⡄⠀⠀⠀⠀⣀⣀⠀⣿⠀⣀⡀⠀⠀⠀⠀⠀⡽⠀⠀⠀⠀⠀⢀⣠⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠ ⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⢿⡟⢙⢿⣆⠀⠀⠀⣴⠁⡸⠀⡼⠋⣱⠃⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢠⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⢸⣷⣤⣘⡛⣦⣀⠠⠃⠀⡇⡼⠀⣼⢁⡴⠊⣹⠀⠴⠋⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠎⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⡾⠀⣿⠙⣿⣯⠈⢿⣇⠀⡿⠃⠀⠷⠟⢠⠞⢁⡠⢤⡄⢀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⡈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⢸⢠⡿⣿⡆⠀⠛⠈⠀⠀⠀⠀⡄⠛⠚⣡⣴⣾⠿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⢰⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢣⡀⠠⠊⠀⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⣾⠛⠋⠁⠀⡿⢿⣿⣿⠟⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⢠⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢀⣠⣤⣯⠽⠛⣇⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⢀⡿⢧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣇⠈⢧⢠⠏⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠈⣿⣿⡟⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⢸⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣆⣨⢋⠀⠀⠀⠀⠀⠀⡴⠁⠀⠀⠀⠀⠀⠘⣿⣿⡗⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠔⠒⠒⠒⠒⠲⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⢠⡴⠚⠛⠛⢦⡀⠀⠀⢸⠂⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⢀⣿⣤⠤⠤⣤⣼⣇⡀⢀⡞⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠼⠛⠉⠀⠀⠀⠀⠀⠀⠈⠙⠻⢤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⡀⠀⠀⠀⠀ ⠀⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀ ⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀ ⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⢠⢿⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀ ⠀⠀⡇⠀⠀⠀⠀⢠⣖⠀⠀⣿⢸⠀⠀⢸⠈⡇⠀⣤⠀⠀⠀⠀⠀⠘⡇⠀ ⠀⢀⡇⠀⡶⠶⠶⣼⣹⣦⠤⠗⠸⣤⣤⣼⠀⣧⣠⡿⣧⣤⣤⡀⠀⢠⡇⠀ ⢀⡾⠁⠀⣽⠀⣼⠋⠙⢻⣷⡀⠀⠀⠀⠀⠀⢠⣾⢿⣷⣦⠸⡇⠀⠈⢧⠀ ⢸⠁⠀⣼⠁⠀⣧⠀⣀⡾⢻⡇⠀⠀⠀⠀⠀⣿⠀⠀⡿⣿⠀⠳⡄⠀⠈⣇ ⠘⣇⠀⣿⢦⡤⠼⣿⠿⠿⠋⠀⢀⠀⠀⡀⠀⠙⠿⢿⠿⣯⠤⣤⢿⡇⢠⡏ ⠀⠈⢧⢸⡆⠳⣤⣸⠂⠀⠀⠀⠈⠛⠛⠁⠀⠀⠀⠀⢼⣁⡴⠋⡼⢰⠏⠀ ⠀⠀⠺⠞⠀⠀⠀⠙⠶⢤⣀⡀⠀⠀⠀⠀⠀⢀⣀⡤⠞⠉⠀⠀⠹⠿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⣀⣀⣀⣤⠤⢖⣒⣒⣒⣿⣭⣭⣭⣭⣝⣒⣒⣒⠢⠤⢄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣉⣉⠉⢉⣡⠶⠾⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠓⠦⢭⣗⡦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢴⣯⠿⠚⠉⠀⠀⠀⠀⠀⠀⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⢯⣳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣟⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣠⡤⠴⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡏⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣯⠳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠓⢻⣶⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠉⠓⢒⣶⠆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⢫⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣏⠉⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡾⢡⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠏⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⡜⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠇⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⡸⠁⣸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡏⣰⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠘⣧⠀⠀⠀⠀⠀⠀⢀⡴⣃⡜⠁⢀⡏⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⣿⣷⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠘⢦⡘⣦⠀⠀⠀⠠⠴⠿⢛⡟⠀⠀⣸⠀⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⡇⠀⠀⠀⠀⠙⠺⣧⡀⠀⠀⠀⢀⡞⠀⠀⢠⠇⠀⠀⠀⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣯⣤⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠏⣠⠎⢀⣏⣤⣤⣄⣀⣀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢠⠇⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⢋⣴⠏⣠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀ ⠀⠀⣠⠞⠁⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠀⢠⠏⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⣠⠞⣴⡿⢋⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠈⢷⣄⠀ ⠖⠯⠥⠴⣺⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠘⣆⡾⠀⠒⠒⠒⠒⢧⠀⠀⠀⢀⣠⣟⣵⣾⣿⣵⡿⠋⠀⠤⠒⠒⠒⠒⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⣿⡟⠲⠤⠼⠷ ⠀⠀⠀⢀⡇⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣶⣶⣿⣷⣶⣶⣶⣶⣶⣾⣧⣀⣴⡿⠗⣭⠟⣻⣧⠟⠀⠀⣠⣤⣶⣶⣾⣶⣶⣶⣶⣶⣶⣤⣀⠘⣇⠀⠀⠀⣶⡀⠀⢿⣿⠀⠀⠀⠀ ⠀⠀⠀⢸⣤⠇⢀⣾⡆⠀⠀⠀⠀⠀⠀⣿⢹⡿⠟⠛⢋⣙⡟⠉⠙⢯⠙⣏⠁⠀⢠⠏⠴⠋⠁⠀⠀⠐⠋⢹⡿⠛⠛⣉⣹⠋⠉⠙⣯⠙⢿⣷⣿⠀⡀⠀⣿⡿⣦⡈⣿⡀⠀⠀⠀ ⠀⠀⠀⠀⢿⠛⠉⢸⡇⢠⡄⠀⠀⠀⢀⣿⣾⡇⠀⠀⢿⣿⠷⣄⣠⡞⠀⠈⢧⣠⡏⠀⠀⠀⠀⠀⠀⠀⠀⢼⡇⠀⠘⢿⡿⠂⢀⣰⡟⠀⣼⠟⢿⢀⣧⠀⣼⢁⣤⣉⡿⠃⠀⠀⠀ ⠀⠀⠀⠀⠈⢳⡀⢸⠁⣼⢳⡀⠀⠀⣿⣿⣿⣷⡀⠀⠀⠀⠀⢀⣿⠃⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⣿⠇⠀⠉⠀⠿⠛⠸⡆⢹⡜⣷⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢈⡏⣰⢿⣆⠹⣆⠀⠙⣎⠛⢾⠿⠶⠶⠶⠶⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠷⠶⠶⠶⠾⠋⠀⠀⠀⠀⠀⠀⣰⣿⡴⡟⠉⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠼⠛⠁⠀⠙⣧⡈⠓⠦⣝⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⢻⠀⠙⠿⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣃⣙⣦⡀⠈⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⣯⣀⣘⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⣼⠟⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠤⠤⣄⣠⠤⠶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠿⡆⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢣⠶⠋⠉⠈⠑⠦⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠴⠚⠁⠉⠙⢦⣹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⢻⡏⠒⠶⠦⠤⢄⣀⣀⣀⣀⣀⣀⣀⡤⠤⠤⠶⠒⢺⡏⠁⠀⠀⠀⠀⠀⠀⠀⢱⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠤⣤⣄⣠⡤⠴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠦⣤⣄⣠⡤⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢀⣠⠴⠖⠉⠉⠓⠶⠖⠤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠖⢉⣳⡖⠋⠀⠀⠀⠀⠈⠀⠂⠀⠀⠀⢹⢦⣤⠾⢧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠊⢀⡴⣿⡟⠁⠀⢠⠄⠀⠀⠀⠀⠀⠱⡄⠀⠀⠙⡝⣶⣄⠈⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠔⢁⠔⠹⢰⡟⠀⠀⢠⠃⠀⡀⠀⡇⠀⠀⠀⢸⢱⡀⠀⠈⢿⡌⠓⢄⠛⢄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⠋⣠⠏⡜⣱⣿⠀⠀⢦⠇⠀⡴⠁⣸⠁⠀⠀⢠⠀⡇⢳⠀⠀⠸⣧⡀⡌⢣⡈⢳⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡾⡀⣏⡴⠁⣽⡇⠀⢸⡾⢀⡜⢠⡶⡇⡆⠀⠀⡜⢰⠁⣾⣴⠀⠀⣿⡇⢱⡈⣧⠈⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡞⢀⣴⣟⠁⠀⣿⡇⠀⣧⡷⠊⡴⠯⣽⣼⠃⠀⣤⣇⡾⠤⢼⡏⡔⠀⣿⣇⠀⠱⣾⠀⠙⡆⠀⠀⠀⠀ ⠀⠀⠀⢀⡾⢠⣿⡟⠈⠀⢸⣿⡇⠀⣿⣷⣯⣤⣤⠋⣼⠆⣸⣿⣾⣡⣤⣤⢻⡇⢀⣿⣿⠀⠀⢻⣷⡄⢹⡀⠀⠀⠀ ⠀⠀⠀⢸⡇⢸⣿⠇⠀⡄⢸⣿⢰⠀⡿⠑⣯⢿⡏⠠⠯⠚⠛⠉⢻⣿⣿⣿⣿⠇⢸⣿⣿⠀⠀⠀⣿⣯⠈⣧⠀⠀⠀ ⠀⠀⠀⠈⣿⣾⡏⠀⠀⡇⠸⣿⣿⠀⡇⠀⠙⠚⠁⠀⠀⠀⠀⠀⠈⠯⠜⠁⢸⠀⣮⣿⡟⢠⡄⠀⢸⣟⡀⡏⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⠇⠀⠀⣿⡄⢹⢿⡆⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⢰⣿⣏⠇⣸⠄⠀⠈⣷⣽⠃⠀⠀⠀ ⠀⠀⠀⢀⡞⢹⡷⣀⠀⣹⢃⡿⢸⣷⢸⢧⡀⠀⠀⠠⣄⣀⣀⠄⠀⠀⠀⣴⡇⢸⡿⢸⡐⣿⠀⢀⠀⡽⢆⠀⠀⠀⠀ ⠀⠀⢀⡏⢰⡿⡇⣿⠔⢁⡾⣿⢸⡿⡈⣏⢻⣦⡀⠀⠀⠀⠀⠀⢀⣴⣾⣽⡀⣿⡇⣻⣧⠘⢄⢸⢠⣷⡈⢳⡀⠀⠀ ⠀⠀⢸⡇⠀⣴⡿⠋⣠⡟⣷⣿⣸⠃⢡⣿⣷⣿⣏⠑⠢⠤⠖⠚⣏⣱⡇⣿⣇⢸⡇⣿⣿⣣⡈⠻⣼⡉⢧⠰⡇⠀⠀ ⠀⣰⣿⣿⣸⡿⠀⣰⢟⡜⣿⢿⡟⠀⢸⡿⠟⢩⠏⠀⠀⠀⠀⠀⢏⠙⡦⣿⣥⠘⣷⣹⣿⢴⣳⡄⠙⣿⡀⣴⣷⠀⠀ ⣼⣻⠁⣿⣹⠧⣄⣯⣾⡽⣣⠿⢡⠀⡿⠀⠀⢸⠀⠀⢀⣀⣀⣀⡸⠀⠀⠀⣿⠀⡸⡷⡿⣜⡶⣻⠀⢱⡗⣹⢻⣷⡀ ⣿⣽⡀⢿⣽⡆⠀⠹⣽⣾⡀⡀⠈⣻⡃⠀⠀⠀⢷⣿⣛⣦⠿⣾⠇⠀⠀⢀⣿⣷⠁⢁⠙⣍⣷⡿⠒⠉⣷⣻⠀⣷⣳ ⠘⢷⡛⠺⡻⣷⣄⠠⢽⣇⠙⢿⣶⣼⣿⣦⣠⡖⢯⠵⡢⠬⠉⠛⡄⠀⣠⣾⣿⣋⣠⣮⠾⢻⡿⠁⠀⣼⣟⡯⣰⣿⣿ ⠀⠀⠉⠷⣽⡌⢻⡷⣄⠙⢆⣼⢨⢿⠞⢽⡟⠒⢓⡯⣛⣓⠀⠀⢷⡾⣺⠟⢿⣟⠉⡏⢀⠼⠂⣀⣾⢛⣥⣿⣿⠟⠁ ⠀⠀⣴⣾⣏⣩⣾⣽⣯⣷⣾⡇⠸⣼⢶⡞⠁⠀⠈⣽⣷⣽⠀⠀⠈⣿⣇⠀⢀⣇⡇⢹⣎⣤⡾⣟⣇⠸⣿⣯⡀⠀⠀ ⠀⠀⠈⠉⠉⣿⡏⠙⠪⠹⣾⣇⡠⠋⠀⠑⠤⣄⣴⣿⣾⣿⠧⠤⠊⠁⠈⢲⡊⠋⠀⢸⣿⡽⠞⣿⡿⠶⠵⠿⠽⠀⠀ ⠀⠀⠀⠀⠀⡿⠀⠀⢀⣼⠟⠉⠀⠠⡀⠀⠀⣠⣿⣿⣿⢿⣧⠀⠀⢀⡠⠂⠈⠳⡀⠈⢿⡇⠀⢹⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⠇⠀⠀⣰⠋⠀⠀⠀⠀⠈⠉⠒⣿⣿⣿⡏⠈⣿⡗⠊⠁⠀⠀⠀⠀⠈⢦⠀⠉⠒⢲⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡿⠀⢀⡜⠁⠀⠀⠀⠀⠀⠀⢀⣼⣿⣻⠞⠁⠀⡽⣷⡀⠀⠀⠀⠀⠀⠀⠈⢣⡀⠀⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⠃⢠⠎⠀⠀⠀⠀⠀⠀⠀⢠⠏⢹⣿⡫⠃⠀⠀⠏⢫⢿⡆⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⢿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⡿⡴⠃⠀⠀⠀⠀⠀⠀⠀⡰⠋⠀⠘⠘⠀⠀⢰⢀⠀⠀⠓⠛⢆⠀⠀⠀⠀⠀⠀⠀⠙⡄⠸⡇⠀⠀⠀⠀⠀ ⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⢀⡜⠁⠀⠀⠀⠀⠀⠀⡼⢺⠀⠀⠀⠀⠈⢢⡀⠀⠀⠀⠀⠀⠀⠈⠦⣇⠀⠀⠀⠀⠀ ⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⣠⠎⠀⠀⠀⠀⢠⠀⠀⠀⡇⢸⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⢼⡄⠀⠀⠀⠀ ⠀⠀⠀⢳⡀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⢀⡏⠀⠀⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠙⡄⠀⠀⠀⠀⠀⢠⡞⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⠒⠶⠶⣿⠍⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⡅⡆⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⣄⣀⣀⡴⠛⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡯⠁⠀⠀⠀⠀⠰⠉⠀⠀⠀⢸⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣁⣀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠸⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⢟⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠈⢀⠒⠂⠀⠀⠒⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡏⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠜⠁⡈⠳⡀⠀⠀⠀⠀⠁⠁⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠈⠢⠄⠀⠀⠀⠀⠐⠤⣄⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣙⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⠟⠢⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀
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petition to make this an app!! . ݁₊ ⊹ . ݁˖ . ݁⋆.˚✮🎧✮˚.⋆. ݁₊ ⊹ . ݁˖ . ݁
⠀⠀⠀⠀⠀⢀⡤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢄⠙⣠⠇⠀⠀⣠⠠⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠳⠁⠀⠀⢰⠁⠀⠀⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠘⣆⢀⣀⠤⠖⠒⢢⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡮⠁⠉⠁⠒⠤⢀⡼⠖⠀⠐⣗⠢⡀⢸⣏⡁⠀⠀⢀⡠⠥⠒⠲⠤⢄ ⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⣀⣈⣍⣈⡿⡘⠁⣹⡚⠁⠀⠀⠀⠀⠀⣼ ⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⣇⣠⡶⣍⣀⣠⠴⠛⠻⢇⣜⡁⠺⠽⠀⠀⠀⢠⡞⠁ ⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⢷⡀⠀⠀⢀⡏⠀⠀ ⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡉⢳⡄⣸⠁⠀⠀ ⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠿⢻⡖⠒⠂ ⠈⠉⠸⡍⠈⠀⠀⠘⣶⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⣶⡄⠀⠀⠠⢸⠅⣀⠀ ⠀⠀⠔⢷⠈⠀⠀⠀⠘⠛⠁⠀⠀⠀⣤⢤⠀⠀⠀⠀⠸⠿⠁⠀⢀⣠⠟⠀⠀⠀ ⠀⠀⠀⣀⠷⢎⠁⠀⢀⡀⠀⠀⠀⠀⠙⠉⠀⠀⠀⠀⠀⠀⠀⣀⠴⠋⠈⠒⠀⠀ ⠀⠀⠀⠁⠀⠀⠉⡖⠀⠈⠑⡦⠤⠄⠄⠀⠤⠤⠤⡖⠉⠉⠹⡁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠒⠛⠊⠁⠀⠀⠀⠀⠀⠀⠀⠙⠒⠲⠞⠁⠀⠀⠀⠀⠀⠀
anyone else hear that ominous bell tolling???? 🤣🤣🤣 no?? just me?????? 😭😭😭😭😭😭😭
HEY💢‼️‼️GIRL🙋‍♀️‼️🚺My name is TSUKASA TENMA🦄I💆‍♂️🗣AM👍👍STAR‼️⭐️🌟✨I👁AM🌎FUTURE STAR🕔⭐🌟✨DANCE🗣🗣‼️‼️‼️💃🕺💃🕺AND‼️‼️🆒➕SING‼️🗣🗣🎙
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣍⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣶⣶⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣄⠀⠀⠀⠀⠀⣀⡀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⡟⠀⠹⣿⣿⣿⣦⠀⢀⣶⣿⣿⣿⣷⡀⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀ ⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⠁⠀⣀⣈⠻⣿⣿⣷⣿⣿⣿⣿⣿⡿⠁⠹⣿⣿⣿⣿⣿⣿⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⡏⢠⣾⣿⣿⣷⣜⢿⣿⣿⣦⠀⠀⠀⠀⢀⣀⣈⡙⠛⠛⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣧⣝⣛⣡⣶⣶⣾⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⠛⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀ ⠀⢀⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⡇⠀⢹⣿⣿⣿⣿⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀ ⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢠⣼⣿⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠉⢀⣿⣿⣿⣤⣤⣄⣀⣀⣀⡀ ⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣾⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠌ type vv4.mp for more!! ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
🎤 - Virtual singer 🩵🎵 - Miku 💛🍊 - Rin 💛🍌 - Len 🩷🐟 - Luka ❤️🍷 - Meiko 💙🍦 - Kaito 💫 - L/n 🎸/🎤 - Ichika 🎹 - Saki 🥁/🥧 - Honami 🍜/ 🎸 - Shiho 🍀 - Mmj! 🍣/🦦 - Minori 🐧 - Haruka 🍑/🐈 - Airi 💧/🐇 - Shizuku 💿 - Vbs 🐹 - Kohane 🎧 - An 🥞 - Akito ☕ - Toya 👑 - WxS 🌟 - Tsukasa 🍭/🍬 - Emu 🎮/🤖 - Nene 🎈/🍬 - Rui 💻 - N25 🎼/🍜 - Kanade ❄️/🍎 - Mafuyu 🎨 - Ena 🎀 - Mizuki Inspo: @melonipop on pin ♡
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⠴⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠷⠶⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣤⣤⣤⣄⣀⣀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢀⣠⣀⣤⣴⣶⣶⣾⣶⣶⣶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠿⠿⠟⠛⠛⠉⠉⠉⠙⠛⠛⠻⣧⡀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⢀⣠⣴⣾⠿⠟⠛⠛⠋⠉⠉⠙⠋⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠶⠶⢳⢒⣛⡶⣤⣄⡈⠷⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⢀⡾⠛⠉⠀⢤⢶⣶⣲⣖⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠄⣹⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣾⢣⣴⣶⣶⣿⣿⣿⣿⣿⠛⣿⣿⠳⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⢩⡿⠙⢿⣿⣿⣿⣿⣿⣟⢻⣿⡆⢿⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢺⣟⣿⣿⣿⣿⣿⣿⣁⣿⡿⠀⠈⣻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣤⣈⠻⢿⣿⣿⣿⣿⡿⢠⡇⠈⡇⠰⣚⣿⣿⣷ ⠀⣀⣀⠀⢸⣿⡟⢿⣿⣿⣿⣿⣿⠟⢁⣤⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠳⠾⠾⠭⠭⠴⠿⠁⠀⠙⠞⠁⠀⣼⠁ ⢸⡗⠮⣍⣻⡏⢿⣬⣛⣛⣿⣿⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀ ⠈⣧⠀⠀⠉⠁⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀ ⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀ ⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀ ⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠐⣻⡀⠀⠀ ⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠄⡀⠀⠀⠀⢀⣤⡀⠀⠀⠀⠀⠀⠀⢀⣨⡵⠛⣷⠀⠀ ⠀⠀⠀⢀⡼⡃⡂⠀⠀⠀⠀⠀⢰⣴⣶⡈⠀⠀⣀⡀⠒⠊⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣨⣵⡶⠟⠋⠀⠀⠀⠀⠀⠀⢀⡟⠉⠀⠠⣿⠀⠀ ⠀⠀⠀⣾⡏⡉⠋⠳⡆⠀⠀⠀⠈⠁⠉⠛⠿⢿⣷⣦⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⡾⠿⠟⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣷⣀⠀⠀⣿⠀⠀ ⠀⠀⠀⢿⡇⣇⠀⠀⣹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠂⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠁⠰⢦⣤⡿⠋⠀⠀ ⠀⠀⠀⠘⢷⣉⠃⢀⣿⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⣾⡳⣼⣆⠀⠀⢹⡄⠹⣷⣄⢠⠇⠻⣷⣶⢀⣸⣿⡾⡏⠀⠰⣿⣰⠏⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⣀⣀⣀⡹⣟⡪⢟⣷⠦⠬⣿⣦⣌⡙⠿⡆⠻⡌⠿⣦⣿⣿⣿⣿⣦⣿⡿⠟⠚⠉⠀⠉⠳⣄⡀⠀⠀⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⢀⣼⣟⠛⠛⠙⠛⠉⠻⢶⣮⢿⣯⡙⢶⡌⠲⢤⡑⠀⠈⠛⠟⢿⣿⠛⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⡸⠯⣙⠛⢉⣉⣙⣿⣿⡳⢶⣦⣝⢿⣆⠉⠻⣄⠈⢆⢵⡈⠀⠀⢰⡆⠀⣼⠓⠀⠀⠀ Nah ⠀⠀⠈⣷⠀⠀ ⠀⠀⠀⠖⠉⠻⣟⡿⣿⣭⢽⣽⣶⣈⢛⣾⣿⣧⠀⠙⠓⠀⠑⢦⡀⠹⣧⢂⠀⣿⡇⢀⣿⠺⠇⠀ ⠀I'd⠀ ⠀⣿⠀⠀ ⠀⠀⠀⠀⠐⠈⠉⢛⣿⣿⣶⣤⣈⠉⣰⣗⡈⢛⣇⠀⣵⡀⠀⠘⣿⡄⢻⣤⠀⢻⡇⣼⣧⣿⠀ Beef on this site⠀⡿⠀⠀ ⠀⠀⠀⠀⠀⣠⣾⣿⢍⡉⠛⠻⣷⡆⠨⣿⣭⣤⣍⠀⢹⣷⡀⠀⠹⣿⡄⠈⠀⢿⠁⣿⣿⠏⠀⠀⠀ ⠀⠀⠀⣇⠀⠀ ⠀⣿⣇⣠⣾⣿⣛⣲⣿⠛⠀⠀⢀⣸⣿⣿⣟⣮⡻⣷⣤⡙⢟⡀⠀⠙⢧⠀⠀⠎⠀⠉⠁⠰⣿⠀⠀ ⠀⢀⡿⠀⠀ ⠀⠈⢻⣿⣿⣽⣿⣿⣿⣴⡏⠚⢛⣈⣍⠛⠛⠿⢦⣌⢙⠻⡆⠁⠀⠀⠀⣴⣦⠀⠀⠀⠐⢳⢻⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠮⠀⠀⠀ ⠀⠀⠈⠙⣿⣧⣶⣿⠿⣧⣴⣿⢻⡉⠀⢀⣠⣴⣾⡟⠿⠃⠁⣠⣤⡶⣾⡟⠅⠀⣀⡄⠀⣾⢸⣿⣏⢻⢶⣦⣤⣤⣄⢶⣾⣿⣡⣤⡄⠀ ⠀⠀⣠⣞⣋⣿⣿⣾⣿⡿⡛⣹⡟⣤⢰⡿⠟⠉⣀⣀⣤⣤⡠⠙⢁⣾⡿⠂⠀⣿⠟⣁⠀⣹⠀⣹⣿⡟⣼⣿⣿⣌⣿⣞⣿⣿⠁⠀⠀⠀ ⠀⢠⡿⢛⢟⣿⣿⣿⣿⣿⣿⡟⣼⣿⣟⢓⠛⣿⣏⣿⣵⣗⣵⣴⣿⢟⡵⣣⣼⣿⢟⣵⣶⢻⣶⣿⠀⠀⣈⢻⣿⣿⣿⢿⣾⢿⣧⠀⠀⠀ ⠀⠘⠃⢸⣿⡾⣿⣿⣿⣿⣯⣿⣿⣿⣶⣿⣿⣟⣾⡿⣫⣿⣿⣿⣽⣿⣿⣿⣿⢫⣾⣿⣿⣿⣿⣿⣴⡆⣻⣿⡏⣿⢻⣧⣿⡿⣿⡆⠀⠀ ⠀⠀⠀⠜⣿⣾⢿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣭⣿⣖⣿⢿⣿⡿⣿⣿⣿⡿⢡⢯⣿⣿⣿⣿⣿⣿⣿⣧⡿⣾⣷⣿⣿⢿⣿⡇⠉⠁⠀⠀ ⠀⠀⠀⠀⣿⣥⣾⣿⣿⣿⣿⣿⣿⣿⡇⣭⣿⣿⣿⣿⠃⠞⠟⣸⣿⠏⣸⣧⣀⠿⢿⣿⣿⣟⣿⣿⣿⣿⣽⣿⢿⣿⣿⣿⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠈⠛⣹⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣟⣿⣿⡿⢶⣦⣄⣿⠏⠀⣿⣟⣿⣶⠾⣿⣟⣋⣛⣿⣿⣿⣿⡇⣻⣿⣿⣿⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠟⠛⠫⣿⣿⣿⣿⣿⡿⣧⠛⣿⠛⣿⣿⣿⣷⡌⠹⡟⠀⠀⠉⡟⠋⢠⣾⣿⣿⣿⡟⣿⣿⣿⣿⢀⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠋⣾⣷⣿⣿⣧⠙⠀⠙⢣⠝⠛⠋⣽⣷⢦⠇⠀⠀⠘⠁⣤⣾⣿⠝⠛⠉⠘⢻⣿⣿⢿⣼⣷⡟⢻⣷⠉⠀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠐⠟⢻⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠈⠛⠀⠀⠀⠀⠀⣾⠟⠀⢸⣷⣿⡇⠀⠛⠀⠀⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠁⠀⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⢻⡿⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠲⣄⠀⡄⠆⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⣀⠀⠀⣠⣾⣿⠁⠀⠀⠀⠀⠀⣀⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢻⣆⠀⠛⠁⠶⣶⣶⣶⣶⣶⣶⡶⠆⠘⠋⣠⡾⢫⣾⡟⠀⠀⠀⠀⠀⠐⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠛⠀⠙⣷⡀⠀⠀⠙⠛⠛⠛⠛⠋⠁⠀⢀⣴⠋⠀⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣰⣦⡀⠸⣿⣦⡀⠀⠀⠀⠀⠀⠀⢀⣴⡟⠁⠀⠐⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⡄⢺⣿⡄⠹⣿⠻⢦⣤⣤⣤⣤⣶⣿⡟⢀⣀⠀⠀⢸⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣮⣿⣿⡀⠹⡷⣦⣀⡀⡀⢸⣿⠏⢠⣾⣿⠀⠀⣾⣿⣿⣿⣿⣶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠘⣷⣻⡟⠀⡼⠁⣴⣿⣿⣯⣥⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣯⣿⣤⣤⣤⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 🤞🤞🏻
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⠟⠛⠛⠉⠉⠉⠁⠀⠀⠈⠉⠉⠙⠛⠿⢶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀ ⠀⠀⠀⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠹⣧⡀⠀⠀⠀⡏⠉⠙⠋⢹⡆ ⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠚⠉⠉⠛⠿⣦⡀⠀⠸⣷⡀⠀⠀⠹⣄⠀⠠⡹⠃ ⠀⢀⣿⠃⠀⠀⠀⠀⣠⣶⠾⠟⠛⠉⠉⠛⠿⣶⣄⠀⠀⠀⠀⣰⠃⢀⣠⣤⣄⠀⠈⢻⣦⠀⢻⣧⠀⠀⠀⠈⠓⠋⠀⠀ ⠀⢸⣿⠀⠀⠀⣠⣾⠋⠁⠀⠀⢀⣠⣤⣤⣤⣈⠙⣷⣄⠀⢠⣏⣶⣿⣿⣿⣿⣿⣦⠀⢻⣧⠘⣿⢀⢸⡛⠛⢲⠀⠀⠀ ⠀⣾⡇⠀⠀⢠⡿⠁⠀⠀⣠⣾⡿⢿⣿⣿⣿⣿⣷⣌⢿⣆⢸⣿⡋⠉⢉⣿⣿⣿⣿⣧⠈⣿⠀⣿⣿⠀⠹⠶⠋⠀⠀⠀ ⠈⡟⣿⠀⠀⢸⠇⠀⢀⣼⣄⠈⠀⣸⣿⣿⣿⣿⣿⣿⡎⣿⣿⣿⣿⣶⣿⣻⣿⣿⣿⣿⣤⣿⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⢷⢹⡆⠀⢸⡄⠀⣾⣿⣿⣿⣿⣿⣩⣿⣿⣿⣿⣿⣇⣿⢹⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⠏⣸⢧⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⣇⢳⡀⠈⢧⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢠⢁⡞⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢎⠃⠀⠈⠳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⠟⠁⠀⠀⠈⠻⣿⣿⣿⣿⡿⠟⠁⠀⣠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠳⣄⠀⠀⠈⠙⡻⠿⢿⣿⡿⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠃⣀⡀⣰⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⡤⠬⣷⣄⡲⣤⣈⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡴⢛⡵⠚⠁⠀⢀⣠⣤⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣇⠀⠀⠀⢻⣿⠒⠭⣟⣷⢶⣤⣤⣤⣤⣤⣤⣤⣤⣶⢾⣟⠯⠗⠊⠁⠀⠀⠀⣾⠟⠁⠀⢘⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢹⣧⠀⠀⠈⣿⡄⠀⠀⠈⠉⠛⠛⠛⠛⠛⠒⠋⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⢸⡿⠀⠀⢠⣿⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣿⠇⠀⠀⠙⠛⠛⠒⠒⠛⠛⠛⠻⠿⢷⡢⣤⣔⡶⠿⠟⠛⠛⠛⠻⠿⠽⠟⠁⠀⠀⢺⡿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠻⢿⣿⠒⠲⠛⠙⠲⠦⢼⣿⡿⠟⠛⠃⠀⠀⠀⠀⠀⠀⠀⢸⣇⡇⠀⠀⠀⠀⠀ ⠀⠀⠹⠿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠇⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⡻⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⢦⣀⠀⠀⠀⠀⠀⠀⢀⡾⡿⠀⠀⠀⠀⠀⠀⠘⣿⣆⠀⠀⠀⠀⠀⠀⢀⣠⣴⢯⠞⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠛⠳⠶⠶⠶⣖⡿⠚⠁⠀⠀⠀⠀⠀⠀⠀⠘⠮⣷⣶⡤⡤⠴⠾⠟⠋⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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🍜💧, 🎹⭐️/🎹🌟, and 🥞🎨 don't exist. those people are DELUSIONAL. and they will be MURDERED on sight via airstrike.
⣤⠀⣰⣿⠋⠀⡇⠀⠀⠀⠀⢸⠁⠀⠀⠈⠛⣗⠢⠤⠊⠉⠣⡀⡈⡇⠀⠀⠉⠣ ⢰⣾⣿⠟⠀⠀⠇⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠈⢅⠘⢄⠀⢀⡀ ⠀⠉⡍⡇⠀⠀⣴⠀⠀⠀⠁⡇⠀⠀⠀⠀⠀⢸⡀⢄⣒⡠⠤⠤⠀⣣⡀⡩⢝⢕ ⠀⠀⣿⠁⠀⠀⢿⡀⠀⠀⠀⡇⠀⢀⡠⢄⣒⠌⠟⠉⠀⠉⠉⠉⢹⣿⣵⣾⢿⣥ ⠀⠀⢸⡶⢄⣸⡽⠁⠀⠀⠀⡧⣲⢵⣮⠗⠁⠀⠀⠀⠀⠀⠀⠀⢸⢁⣢⣜⡼⠟ ⠀⠀⠈⡿⠵⠶⢭⣄⣒⣒⣚⣿⣿⣿⠁⡞⠁⠀⢀⠎⡅⠀⠀⢠⠋⠉⠀⠀⠀⠀ ⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡋⡧⠃⠈⠀⠊⠀⠧⣀⠀⡌⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⠀⠀⡤⡀⠀⢠⢤⠀⠀⢇⠀⠙⠁⠄⠘⠓⠀⠀⠹⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠇⠄⠃⣇⠀⢸⠉⠤⢜⢸⠀⠀⠀⠀⠀⠀⠀⢀⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠀⢠⠆⠀⠠⠶⠀⢸⢸⠀⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠌⡨⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⡇⡆⠀⠀⠀⠀⠀⢀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⠀⡇⠇⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⡆⣧⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡤⠤⠤⢤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⢀⡴⠋⡉⠀⠀⠀⠀⠀⠀⠉⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⣶⣶⠶⠾⠿⠿⢿⣦⣦⡙⢶⣶⢦⣄⠀⣦⠀⠀⠀⠹⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣄⠀⠀⠀⠀⠀⠀⣀⡤⠴⠒⠛⠛⢿⡁⠀⠀⠀⠀⠀⠠⢀⡈⠛⠲⠿⢿⣟⠛⠻⣶⡦⢄⡀⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣤⣈⣟⣳⣤⣄⣀⡤⠞⠁⠀⠀⠀⣀⠀⠀⠈⠂⠀⢀⣠⠤⠤⠤⠠⠤⠤⢄⣈⣻⠿⢿⣆⣙⠛⠃⣬⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⡴⠚⠉⠁⠀⠀⠀⠀⠙⡿⠀⠈⣏⠀⠀⠀⠒⠈⣉⡭⠶⠒⡒⠋⠉⠉⠀⠀⠀⠀⠀⠐⠤⡀⠈⠉⠓⠲⢬⣉⠻⣤⣩⣙⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢀⣻⡤⠀⠀⡠⠛⠁⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢾⣿⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⢰⣦⠙⠀⣾⠏⠀⢠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢹⠀⠈⣷⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣄⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡾⠀⢠⣿⣴⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀⠈⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢿⣄⠀⠀⠀⠀⠀⠀⣴⡟⣿⠁⣰⠋⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢈⣿⢷⡤⢄⣠⡶⣾⣿⣴⠏⠀⣿⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠈⣆⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⠘⠿⣷⣶⡶⣿⣺⣿⣿⣧⣀⣸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⠘⢇⠀⠀⠀⠀⠀⠀⠀⠸ ⠀⠀⠀⠀⠿⣿⡇⠈⠉⠀⡿⠉⠁⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡏⠙⠒⢒⣾⠃⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠋⣇⠀⠀⡀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡇⠀⢠⢿⠿⣤⠀⢸⠁⠀⠀⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⢹⡀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⣰⡞⠀⢹⡀⢠⣿⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⡇⢀⡾⡏⠀⢸⡆⡿⠀⣴⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⣰⠇⠤⠀⠹⣄⠀⠀⠀⢻⣆⠀⠀⢀⣸⡿⠁⠀⢸⣧⢿⡿⡇⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡇⡸⣻⠀⠀⠀⢳⠃⢠⣿⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⣰⣿⣶⡶⠿⠦⡌⠛⠶⠤⠼⠏⠓⠤⠾⠃⠀⣀⣴⣿⣿⣿⣇⡇⠀⢀⡄⠀⡀⠀⢷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡇⣷⠇⠀⠀⠀⢸⡇⡞⡟⢹⠁⠀⢀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⡿⠋⡠⠖⠛⢶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠛⠉⠉⠉⢸⣿⢀⣠⢾⠀⠀⢱⣄⠈⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⡏⠀⠀⠀⠀⠀⡟⣷⡇⡏⠀⢀⡏⠀⠀⠀⠀⠀⣤⣤⣾⣿⡟⠀⡞⢁⣠⣶⣸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⣠⣼⣿⣯⣄⡼⠀⠀⢸⡟⣆⢹⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⠁⠀⠀⠀⠀⠀⣻⡇⠻⡇⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠸⣿⡀⠀⣏⢹⣿⡟⢻⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠿⣙⣬⣿⣿⣷⣤⣄⣸⠁⠹⣼⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀⢠⣿⣷⣤⢃⡞⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⠻⢿⣿⡷⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠿⠛⠉⠉⠁⠉⠉⠀⠀⠉⠙⠳⣤⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠟⡇⠀⠀⠀⠀⠀⡼⣼⡿⣾⡜⠁⢸⡄⠀⠀⠀⠀⠀⠀⠹⣦⣄⡈⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⠆⢀⣴⣿⡿⠶⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⠃⠀⠶ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⣼⢃⢏⠁⣿⣇⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠹⣿⣭⣍⣉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⣠⠞⣹⡏⢁⣀⣤⣾⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀ ⠀⠀⠀⠀⡏⠀⠀⠀⠀⣰⠃⡼⢸⠀⡟⠘⢦⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠘⢯⣽⡭⠭⠽⣶⠶⢤⣤⠴⢶⣶⠟⠁⠀⠿⣦⣽⣵⠟⠛⠁⠀⠀⢠⣤⠶⣤⡀⠀⠀⠀⠀⠙⡿⢂⡀ ⠀⠀⠀⢼⠃⠀⠀⠀⡰⠃⡸⠃⡿⠀⣷⠀⠀⠉⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠶⣤⣀⡈⠓⢮⡙⣿⣿⠀⠀⠀⠀⠀⠀⢈⣾⡧⠀⠀⢠⡿⡃⠀⠈⠙⣧⡀⠀⠀⠀⢡⣀⠋ ⠀⠀⠀⡼⠀⠀⢀⡜⠁⣰⠃⢰⠇⠀⠙⣆⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠲⣤⢀⣀⣀⡴⢾⠁⠀⣠⡿⠿⠿⡷⣦⠀⠀⠀⢰⢻⡇⠀⠀⠀⣾⣋⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⣄⣀ ⠀⠀⢰⠃⠀⣠⠏⢀⡜⠁⠀⡼⠀⠀⠀⠈⠓⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡀⠀⠙⠾⣆⣾⠋⠀⠀⠀⠀⢹⣧⠀⠀⠈⠛⠃⠀⠀⠀⢻⣯⠀⠀⠀⠀⣸⣿⠀⠀⠀⠀⠈⣿ ⠀⢠⠏⢠⠞⠁⣠⠟⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠈⢣⡀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠈⠓⣢⠄⠙⢷⣶⠀⠀⠀⠀⠠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⣦⣤⠶⠛⠋⠀⠀⠀⠀⠀⠉ ⣠⢏⣴⣁⡤⠞⠁⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⢀⣠⣄⣙⣦⡀⠀⠀⠀⠀⠙⠳⣶⠒⠉⠁⠀⠀⠈⠻⣦⣤⢀⠀⢀⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠉⠁⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀⢠⣾⢿⣪⠿⠀⣿⡿⡷⢤⣄⣤⡤⠴⠴⠋⠀⠀⠀⠀⠀⠀⠘⢿⣿⣷⢾⡿⣿⣆⣉⠻⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⣀⣀⣰⣛⣱⣿⠶⠶⢾⣯⣼⡇⠀⠀⠙⢷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢄⠀⣠⣤⡼⢿⣿⣧⣨⣿⣶⣄⣀⣀⣀⣀⡀⠀⠀⣀⡀⣴⡙⠻⠶ ⠀⠀⠀⠀⢀⣀⣴⠇⠀⡴⣻⠟⠋⠉⠀⠀⢁⣰⣯⣖⢾⣶⠛⠁⢠⣴⡶⠿⣿⠿⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡻⠄⠀⠀⠀⠀⠉⠀⠀⠀⠀⠈⠉⢹⢿⡟⣿⣏⠀⠈⠙⠶⢄
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⢤⣦⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⡀ ⠀⢿⣿⢷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡾⢿⡿⠁ ⠀⢸⠀⠁⠈⠻⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⡿⡿⠃⠀⢸⡀⠀ ⠀⢸⠀⠀⠀⠈⣎⢻⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣟⡀⡇⠀⠀⠀⡇⠀ ⠀⢸⠀⠀⠀⠀⢸⣄⠹⣿⣿⣿⣦⡀⠀⢀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⢠⣾⣿⣿⣿⣿⣫⣾⡇⠀⠀⠀⣷⠀ ⠀⣾⠀⠀⠀⠀⠘⡜⣷⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⢽⠁⠀⠀⠀⣿⠀ ⠀⢸⠀⠀⠀⠀⠰⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠶⣄⡀⠀⠀⣿⠀ ⠀⢸⡆⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠄⠀⠀⢰⣿⠀ ⢳⡸⣿⣤⣄⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠤⢴⣿⣳⠀ ⠠⣽⣿⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣡⠏ ⠤⣬⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠥⠄ ⠀⠰⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠶⠄ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠻⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⡿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠒⠊⢻⠈⢿⣿⣿⣿⣿⣿⣿⡏⠙⢻⡇⠂⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⡏⠘⡇⠀⠀⠸⡄⠈⣿⣿⣿⣿⣿⡏⠀⠀⢸⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⡇⣠⣶⣶⣤⣀⠡⠀⠈⢻⣿⣿⣿⠀⢀⣤⣶⣶⣦⣄⣿⣿⣿⡟⠛⢻⣿⣿⣧⠀ ⠴⠛⠁⠈⣿⡀⠉⢻⣿⣿⣿⣿⢹⣾⣿⣿⣿⡆⠀⠀⠙⢿⡄⠀⢿⣽⣿⣿⡏⣿⣿⣿⡟⠀⢀⣾⠇⠀⠉⠛ ⠀⠀⠀⠀⠈⣷⡀⠈⢿⣿⣇⠘⠘⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡽⠛⣣⣿⣿⠃⢀⣾⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⠟⠙⢦⣌⡻⣿⡀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣥⡶⠋⠛⠧⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣿⠛⣿⡳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢟⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢀⣀⣼⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣧⣬⣁⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⡿⢓⢤⣀⠀⠀⠀⠶⠿⠷⠀⠀⠀⣀⣤⣾⣿⢿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀ ⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⢃⡞⣰⠈⠓⢦⢄⣀⠀⣀⣠⣴⠞⠁⢸⠇⣿⡀⣿⠿⣿⣿⣿⣿⣿⣷⡄⠀ ⠀⠀⠀⣿⣿⣿⠟⠋⠉⠉⠉⠣⣼⠃⣟⠂⣄⠈⠳⡍⠉⢉⡾⠁⠀⠀⡿⣸⡟⠋⠀⠀⠈⠉⠹⣿⣿⣿⡇⠀ ⠀⠀⠀⣿⡿⠁⠀⠀⠀⠀⠀⠀⢻⣦⠙⢇⠀⠉⣶⢿⠀⡿⣆⠈⠁⣰⣇⣿⣧⡀⠀⠀⠀⠀⠀⠈⣿⣿⠇⠀ ⠀⠀⠀⣿⣧⠀⠀⠀⠀⢠⠴⠶⢾⣿⠆⡌⠆⣰⣧⡄⣤⣠⣿⡀⣰⢻⣷⣮⣉⡀⠀⠀⠒⠲⠆⣰⣿⣿⠀⠀ ⠀⠀⠀⢻⣿⡈⠙⠛⠛⠛⣀⣐⣤⣶⣿⣯⠈⠀⠘⣿⣷⣿⠏⡟⠁⣸⣿⣿⣿⡟⠻⠥⠴⠶⠾⢻⣿⣿⣆⠀ ⠀⠀⠀⣸⣿⣟⠒⠠⠄⠂⣠⣿⣿⣿⣿⣿⡄⠀⠀⢻⣷⣿⠀⠀⠀⣿⣿⣿⣿⣿⣄⠀⠀⢀⣴⣿⣿⣿⡏⠀ ⠀⠀⢠⣿⣿⢿⣷⣦⣤⣾⣿⣿⠙⢿⣿⣿⣷⡀⠀⣸⣿⡿⡄⠀⢰⣿⣿⡿⢋⣿⣿⣷⣶⣿⣿⣿⣿⣿⠀⠀ ⠀⠀⠘⣿⣿⣻⣿⣿⣿⣿⣿⣿⣷⣄⠙⢿⣿⣷⠀⣟⣽⣾⣿⢠⣿⡿⠋⣰⣿⣿⣿⣿⣿⣿⡷⣿⣿⣿⡆⠀ ⠀⠀⢠⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣝⡿⣿⣿⣿⣿⣿⡿⢋⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡏⣿⣿⠇⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀
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⠄⡀⠠⢀⠀⢀⣴⣿⣾⠿⣙⠴⠌⠓⣮⡳⣍⢻⡷⣦⣀⢄⣪⠂⠁⠀⠀⠀⠀⠀ ⠀⠀⠈⡶⢲⠃⣾⡿⠁⡀⣇⢸⡼⣆⡎⢻⣿⣧⠱⡌⢟⢅⠘⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⣥⢇⣘⡿⣵⡶⢱⡿⡾⡧⣽⣿⣄⠩⣿⣷⡘⡄⢫⣦⡸⡀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⣮⣽⠻⡜⣧⡿⠁⢣⣧⠙⣝⢿⣦⡙⣿⣷⡝⣄⠻⣷⡇⠀⠀⠀⠀⠀ ⠀⠀⢸⡿⣽⡿⣆⢧⣿⠥⠒⠉⢻⡆⠈⠃⢉⡛⠿⣿⣿⣿⣧⡙⣧⠀⠀⠀⠀⠀ ⠀⠀⢰⣿⣿⣷⣼⢸⠁⣤⣦⡂⠀⠻⡄⠀⢰⣛⣷⣾⣻⡿⣿⣷⣌⠣⡀⠀⠀⠀ ⠀⠀⣼⣿⣿⣿⣿⣿⡝⣧⣿⠧⠀⠀⠘⢆⠘⡛⢛⠃⠛⣧⣿⣿⡿⣷⣿⣦⡀⠀ ⠀⣠⣿⢻⣿⡇⡿⣿⠓⠑⠮⠞⠀⠀⠀⠀⠁⠈⠉⠀⠀⣿⣿⣿⣷⣧⠈⠉⠙⠒ ⢘⡿⠁⢸⣿⣷⣇⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⣼⣿⣷⣙⡿⠃⠤⡀⠀ ⠚⠀⠀⡸⠛⢹⣿⡘⡌⠢⡀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠀⣿⣿⡏⠁⠀⠀⠀⠀⠀ ⠀⠀⢰⠀⠀⠈⡟⢷⣻⣄⠀⠁⢢⠄⣀⢀⠠⡚⢀⠀⣸⢿⣿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⠀⢀⠀⠘⠄⠙⠳⡅⠀⠀⠁⠂⢄⣴⠐⠁⠀⢃⢻⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⢆⠈⢐⡀⠀⠀⠀⠈⠢⡀⠀⠠⢁⢃⠑⢄⢀⠌⣾⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣿⢸⣦⠀⠳⡀⠀⠀⠀⠀⠈⠐⠁⠀⠂⠆⠀⠀⢰⡿⠀⠀⠀⠰⠁⠀⡇⠀ ⠀⠸⣿⠸⣿⣷⣄⠐⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⢀⢊⠀⠀⣿⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⠀⠀⠀⡴⠂⠀⠀⠀⠀⢦⠀⠀⠀⠀⠙⠢⡀⠀⢀⠈⠱⡀⠀⠀⠀⠘⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠀⠀⠀⠀⠀⡸⠁⠀⠀⢀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠘⢆⠀⠉⠂⡘⣦⠀⠀⠀⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠋⠀⠀⢠⠄⠀⢠⠇⠀⠀⠀⢸⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⢣⠀⠀⢙⣿⣇⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠏⠀⠀⠀⡏⠀⠀⢸⠀⠀⠀⠀⠘⡄⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⢣⠀⢄⠈⢿⡇⠀⠀⠀⠀⣸⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡞⡘⠀⠀⢰⠃⠀⠀⡞⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠈⡆⠀⠑⣾⣿⠀⠀⢀⣼⠟⣧⠀⠀⠀⠀⠀ ⠼⠀⠀⠀⠀⠀⢰⠃⡇⠀⠀⡾⡄⠀⠀⣷⠀⠀⠀⠀⠀⢸⢧⠀⠀⠀⣹⢿⠀⠀⠀⠀⠀⠀⢹⠈⠢⣼⣾⣇⣴⠛⠁⠀⢹⠀⠀⠀⠀⠀ ⠀⠀⢢⠀⠀⠀⢸⢸⠁⠀⠀⠃⡧⢄⣰⡿⡄⠀⠀⠀⠀⢨⣀⠷⣖⠉⢹⠀⣧⠀⠀⠀⠀⠀⠸⡆⠢⣀⣿⡟⢿⣤⣀⣀⣸⡆⠀⠀⠀⠀ ⠉⠒⢤⣧⠀⠀⢺⢸⠀⠀⢈⡆⢳⠀⢘⡟⢻⡂⠀⠀⠀⢹⠀⢀⣼⡷⣟⡛⠻⣶⣤⡀⠀⠀⠀⡿⣀⣸⠟⠷⡀⠙⠻⠿⣿⠃⠀⠀⠀⠀ ⠀⠀⠀⠉⠓⠀⢸⢸⡄⠀⠘⡇⢸⣷⣾⢟⣲⠷⣤⡀⠀⢸⡆⠉⢸⠃⠀⢻⡄⢯⡿⠀⠀⢠⣴⠃⢹⠁⢠⡄⠘⣆⠀⠀⢿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⡀⢸⣿⡇⠀⠀⢱⠈⣿⣁⡏⣈⣧⠈⠙⢤⡐⢇⠀⠸⣎⠛⣹⡇⢺⠁⠀⠀⣼⣿⢠⠃⢠⠟⡋⢠⠟⡅⠀⣼⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⠁⠀⣿⣿⣄⠀⠀⢧⢹⡈⢧⣉⡿⠀⠀⠀⠉⠺⠄⠀⠈⠛⠉⠀⠈⡇⠀⢀⣿⠏⢀⣀⣸⡞⢀⠇⠀⢡⠀⡇⠀⠀⠀⠀⠀ ⣤⠶⢻⡿⠿⠆⠀⠸⡇⢻⣧⠀⠈⣷⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢀⡾⠇⠀⠉⠀⢀⣠⠜⠀⠀⠸⡄⡇⠀⠀⠀⠀⠀ ⠀⢀⣸⠃⠀⠀⠀⠀⠘⠀⠻⣧⡀⢹⡇⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢹⠏⠀⠀⣨⢛⣿⣿⣿⠀⠀⠀⠸⣇⡀⠀⠀⠀⠀⠀ ⠾⢋⣥⣶⠟⠀⠀⠀⠀⠀⠀⠈⠋⠛⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠋⠀⢀⡴⠁⢸⣿⣿⣿⡄⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀ ⠀⠉⠡⡿⣶⣶⣶⠂⠀⠀⠀⠀⠀⠀⠀⠑⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⢸⣿⣿⢹⣇⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣱⣦⣶⠿⠛⠋⠉⠀⠀⠀⠀⢀⣴⡿⠁⠀⠀⠀⢸⣿⣿⣿⣿⡄⠀⠀⠘⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡤⠤⢤⣀⣔⣶⠤⠔⣚⠭⢻⠘⡏⢱⣦⣄⣀⣀⣠⣴⣾⣿⠏⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣧⠀⠀⠀⢻⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⠗⢀⣉⣉⠹⠿⣾⡍⠀⠀⠈⡖⣷⠈⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⢀⡴⠊⠁⠀⠀⠉⠙⢦⡀⠀⠈⢇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⢋⡠⠋⡁⠀⠀⡠⠟⠁⠀⠀⢀⣱⣿⣧⣸⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⢠⠋⠀⠀⠀⠀⢠⠀⠀⠀⠱⡄⠀⠸⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⠈⢀⠔⡏⠀⠀⡤⠊⠉⠀⠀⢸⠋⠉⢉⠹⡿⠋⢇⠀⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⣆⠀⠀⠀⠹⡀⠀⢣⠀⠀⠀ ⠀⠀⠀⠀⠀⠇⠀⠀⠀⢸⢰⠃⠀⡜⠀⠀⠀⢠⠀⠙⣤⠞⢡⠞⠀⢀⡼⠀⠀⣀⡠⢾⠀⠀⠀⠀⠀⠀⠀⡉⠀⠀⠀⠀⢣⠀⠘⡆⠀⠀ ⠀⠀⠀⠀⠀⢸⠀⠀⠀⢸⣿⠀⢸⠁⠑⢄⠀⢸⢀⠔⠁⣰⠁⠀⠀⠘⠃⠜⠁⠀⢀⡆⠀⠀⢀⡠⠒⠉⠁⠉⠑⢄⠀⠀⠈⡆⠀⢹⠀⠀ ⠀⠀⠀⠀⠀⣠⡆⠀⠀⠼⣿⣧⡇⠀⠀⠀⠑⡷⠋⢀⡜⠉⠦⣀⡀⠀⣀⡠⠔⠊⠉⡇⡠⠖⠁⠀⠀⠀⠀⠀⠀⠈⢢⠀⠀⢱⠀⠀⣇⠀ ⠀⠀⠀⠀⣼⣷⡇⠀⢀⠜⣡⣿⠃⠀⠀⢀⡜⠁⢠⠎⠀⠀⠀⠈⢉⡉⠁⠀⠀⠀⢸⡇⠀⢀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⢸⠀⢇⠸⡀ ⠀⠀⠀⠘⣧⡉⠓⠒⢁⠜⠩⣇⢀⠀⣠⠎⠀⣠⠃⠀⠀⠰⢀⠔⠁⠀⠀⠀⠀⠀⡟⡇⢀⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢸⠀⢸⠀⡇ ⠀⠀⠀⡴⣇⠈⠁⠀⠉⢀⠀⡼⠠⡶⠉⠉⠈⠉⠉⠑⠒⠒⠒⠒⠒⠒⠒⠒⠒⠚⠁⡇⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⣿⡄⠀⡇⢸ ⠀⠀⠀⢦⡈⣉⡡⠖⠊⠁⠀⣑⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⢠⢛⣷⠀⡇⠘
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡴⠚⠉⠀⠀⠉⠙⢦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀ ⠀⠀⣰⠃⠀⢀⣀⡀⠀⠀⠀⠀⢀⣀⡀⠀⠈⣧⠀⠀⠀ ⣠⢪⠏⠀⠀⢸⣿⡆⢀⡀⠀⡄⢿⣷⠇⠀⠀⠘⣿⣆⠀ ⣿⡻⣄⠀⠀⠀⠀⠀⠈⠛⠚⠁⠀⠀⠀⠀⠀⣀⣿⣼⠀ ⡇⠙⠻⠿⣷⣶⣤⠤⢤⠤⠤⢤⣤⢤⣶⣶⠿⠟⠋⢸⠂ ⢷⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⣸⠀ ⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃⠀ ⠀⠈⠻⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠁⠀⠀ ⠀⠀⠀⠀⠙⢲⣤⣄⣀⣀⣀⣀⣀⣤⡖⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠉⢣⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠦⣄⣀⠀⠀⠀⠀⣀⣠⠴⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⣀⡶⠄⠐⠂⢳⣤⠖⠋⠉⠙⠉⢦⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⡸⢷⠒⠤⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣾⣁⡤⠀⠀⣨⠚⢻⣖⣲⣶⣦⡄⢲⡷⠴⠒⡞⠛⣻⠛⠟⠳⡛⢿⠿⣷⣴⣀⠁⠀⠀⠀⠈⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣩⡏⠀⢀⣸⡷⢤⣼⣿⣿⢿⣿⣇⠀⠁⠀⠀⠘⡄⠀⠀⠀⠀⢱⠘⡄⠀⠈⢫⡚⢵⡤⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠟⠋⠀⠀⢸⣏⠛⠓⠻⢿⣿⠖⠋⣿⣿⣻⣾⣿⠅⠀⣤⣶⣾⣟⣁⣠⡿⠿⠿⢿⣅⣙⣶⣶⣔⠛⣄⣈⢻⣷⡀⠀⠀⠀⠀ ⠛⠛⢿⣿⠟⢦⣀⠀⢀⣿⠸⣆⠀⢀⠏⠀⢢⣰⣿⣿⣾⡿⢿⣶⠖⠋⠁⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠈⠉⢻⡛⠛⠿⣦⣹⡳⣤⣄⠀⠀ ⣶⣶⠋⠁⢠⡿⠛⣿⣿⣿⡀⠙⣦⣾⠖⢒⣶⢿⡿⠯⢭⣍⣿⣿⣀⣒⣢⣤⣤⣼⣧⡄⠀⠀⣀⣀⣀⠀⢀⣸⣇⠀⠀⢈⣏⡷⢻⣿⡇⠀ ⡟⠉⠠⣠⡿⠁⠀⣿⣿⣹⣇⠀⢸⡇⠀⢸⣿⣸⠀⠀⠀⢠⣿⡟⠀⠀⠀⠀⢉⣿⣿⡇⠀⠀⠐⠒⠒⠒⠀⣿⣿⠫⡤⢤⣧⣀⣀⣻⠇⠀ ⠓⠤⣀⡟⠣⣄⢠⣿⣿⡇⣿⣄⡾⠀⠀⣸⠀⠀⠀⠀⠀⣼⣿⣇⣀⣇⠀⠀⣸⣿⣿⡇⠀⠀⡄⠀⠀⠀⡄⣿⣿⠀⣧⠀⣿⠁⠈⣿⡆⠀ ⠀⢀⡞⠋⠑⠺⣿⣿⣿⣷⢸⣿⡇⠀⠀⣿⠀⠀⠀⠀⠘⣿⣿⠋⠉⣯⡙⠛⣿⣿⣿⣧⠀⠀⡇⠀⠀⢠⣇⣿⣿⣤⣿⣀⣿⠀⠀⢸⣷⠀ ⠆⠀⠀⠀⠀⠀⣿⣿⣿⣿⡆⣿⣧⢀⠀⣧⠀⠀⠀⠀⠀⣿⣿⡄⠀⣿⡇⠀⣿⡇⡟⣿⠀⢸⡇⠀⠀⣾⣿⣿⣿⢰⣿⣿⣿⠀⠀⢸⣿⣴ ⡶⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⡿⢸⠀⣼⠀⠀⠀⡀⢰⠛⠛⠛⠒⠓⠷⠤⣿⡇⠇⣿⡄⢸⡇⠀⢠⣿⣿⢿⣇⣾⣿⣷⡏⠀⠀⣼⣿⣿ ⠀⠠⠂⠀⣔⣼⣿⣿⣿⣿⣿⣿⡇⢸⣇⣿⠀⠀⠀⣧⢨⡇⡀⢀⠀⠀⠀⣀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢉⡟⠁⠀⠀⣿⣿⣿ ⠀⠀⠂⠚⢀⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⡄⠀⠉⣿⣿⡿⠿⠛⠛⠻⠷⢶⡀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡴⢶⣶⣖⣾⠇⠀⠀⢰⣿⣿⣿ ⠀⠀⠀⠀⣸⠟⣿⣿⣿⡿⡇⠘⣧⣼⣿⣿⡇⠀⠀⢸⣏⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣽⡿⣼⠀⢀⣸⣿⣿⣿ ⠀⠀⠀⢀⡿⢾⣿⣿⣿⡇⡇⠀⣿⣿⣿⣿⣷⠀⠀⠘⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡷⠚⠉⠉⠉⠉⠉ ⠀⠀⠀⣾⠃⣾⣿⣿⣿⠉⡇⠀⣿⣿⣿⣿⣿⡀⢰⢤⣿⠿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⡿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⣿⢀⣿⣿⣿⣿⣼⡇⠀⡇⣿⣿⣿⣿⣧⣸⡿⣿⡇⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⢚⢿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣿⠀⢸⣿⣿⣿⣿⣿⡇⠀⡇⢸⣿⣿⣿⣿⣿⣇⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣡⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⠉⠀⣿⣿⣿⣿⣿⣿⡇⠀⡇⠀⢿⣿⣿⣿⣿⣿⣾⣿⡀⠑⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⠃⠀⣼⣿⣿⣿⣿⣿⣿⡇⠀⡇⠀⠈⢿⣿⣿⣿⣿⣏⣿⣷⣤⣄⣈⣑⢲⣤⣀⣀⣀⣤⢶⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⢀⣀⡤⢴⣶⡿ ⡏⠀⣀⣿⣿⣿⣿⣿⠛⢻⠗⠐⠉⠉⠑⠚⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⠼⠟⠋⠋⠉⠉⣿⣿⡟⠀⠀⠀⠀⠀⡟⠀⠀⠀⣏⢷ ⠁⠀⣼⣿⣿⣿⣿⡇⢀⠇⠀⠀⠀⠀⠀⠀⠈⢺⡟⢿⣿⣿⣿⣿⣿⠿⢿⠿⢛⢻⡟⠲⣶⡲⠤⣤⠞⢻⠃⠀⠀⠀⠀⢰⡇⠀⠀⠀⢻⠨ ⠀⢰⣿⣿⣿⣿⣿⠁⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣄⠉⢻⣿⠛⠿⢷⣦⣲⡿⠿⡧⠤⠛⣷⠀⢻⣆⡎⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠸⠀ ⢀⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣆⠈⣿⠁⠀⠀⠈⡿⠋⠉⢻⡆⠀⠸⣧⠀⡟⠀⠀⠀⠀⠀⠀⢸⣿⡄⠀⠀⠀⣧ ⣾⣿⣿⣿⣿⣿⣃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⣸⣆⠀⠀⠀⢙⣿⠿⢿⣄⡀⠀⢻⡶⠁⠀⠀⠀⠀⠀⠀⢸⠻⣧⠀⠀⠀⢹
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⣿⣿⣿⣿⣿⣿⣇⠤⠂⠠⣱⣆⣁⡙⣑⡀⣠⡤⣤⣤⣤⣄⣄⡐⠇⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠿⠿⣏⣏⣀⡼⣤⣿⡿⣿⠌⠁⢀⡂⢁⣀⡰⢡⠉⠩⡒⢄⡀⠀⠀⠀ ⠿⢿⡿⣅⠀⢸⢣⠁⡙⠩⣰⣿⣾⢷⡤⠛⠛⠒⡞⠉⠉⠒⠛⢳⠹⢶⣻⣆⣀⠀ ⡿⠅⣰⠋⢹⣿⡀⢳⠃⢱⢻⠛⠚⡯⡇⠀⠲⢶⣶⠀⠀⣀⣀⢰⣧⠄⢹⠋⢽⠁ ⠣⢬⣣⢄⣾⣇⣧⡜⠀⡏⠁⠀⢠⣿⣀⣆⡀⣿⣿⠀⢀⠀⠀⢸⡇⠃⢹⠉⢻⠀ ⠀⠃⠀⢹⣿⣿⣸⣇⠀⡇⠀⠀⢸⣿⠀⣷⠈⡟⣿⠀⡌⠀⣸⣾⡇⣿⣾⠀⢸⣇ ⠂⡀⠀⣸⣿⣿⣿⡏⡇⡇⠀⢠⢨⠉⠁⠙⠚⠃⠻⠦⠿⠠⠿⠯⠷⢿⡏⠀⣾⣿ ⠀⠂⢊⣿⣿⣿⡿⡇⣿⣧⠀⢸⣾⠗⠓⠒⠯⠀⠀⠀⠀⠀⠤⠴⣶⡼⡀⠀⣿⣿ ⠀⠀⣸⣼⣿⡏⡇⣿⣿⣿⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠥⠐⠛⠛ ⠀⢠⡇⣿⣿⣇⡇⣿⣿⣿⡆⣧⣟⢧⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡼⠁⠀⠀⠀⠀ ⠀⣞⢱⣿⣿⣿⡇⡇⢿⣿⣿⣧⣿⢄⠁⠀⠀⠀⠀⠀⠀⠉⢀⣵⠀⠀⠀⠀⠀⠀ ⡼⢁⣾⣿⣿⣿⡇⡇⠘⣿⣿⣿⣿⣦⣈⡂⠄⣀⢀⣠⣴⣾⣿⡏⠀⠀⢀⣀⢠⡤ ⠃⢸⣿⣿⡟⠩⠁⠉⠉⠈⣻⣿⣿⣿⣿⣿⣿⢷⠞⣉⣉⣙⣿⠁⠀⠀⣸⠀⠈⡝ ⢀⣿⣿⣿⠇⠃⠀⠀⠀⠀⠈⢦⠙⣿⠻⠦⣳⣿⡤⠙⡄⢳⡄⠀⠀⠀⣿⠀⠀⠃ ⣼⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠈⢳⣹⠀⠀⢫⡤⣜⠀⢹⡜⠀⠀⠀⠀⡿⡆⠀⠸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠤⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠲⢤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠋⠁⠀⡀⠀⠀⠀⣠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⢠⣾⠕⠁⠀⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⢠⡿⠃⠀⢀⡞⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⢰⡟⠀⠀⠀⡜⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢮⣳⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠃⢰⠃⠀⠀⠀⢠⡏⠀⠀⠀⢰⠃⠀⠀⡀⢀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣷⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⣰⠃⠀⠀⠀⣰⡿⠀⠀⠀⠀⡟⠀⠀⠀⡇⠸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⠃⡴⠃⠀⠀⠀⣰⣻⠃⠀⠀⠀⢴⠃⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⡟⢜⡀⠀⠀⠀⢰⣫⡏⠀⠀⠀⠀⣾⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢊⠁⢀⡄⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⢿⡃⠈⠀⠀⠀⢀⣯⢏⡇⠀⠀⠀⢸⢻⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡇⠀⠀⢰⠁⠈⠛⠛⠂⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡀⠀⠀⠀ ⠀⠀⠀⠀⢠⠏⣼⠃⠀⡰⠀⠀⣾⡜⣼⡇⠀⠀⠀⡞⢸⠀⠀⠀⢀⠀⢀⠀⠀⠀⠀⠀⡀⠀⢸⠀⠀⢹⡀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠻⣦⣾⠀⠀⠀⠀⠀⠸⡆⠀⠀⢿⣧⠀⠀⠀ ⠀⠀⠀⠀⡿⠀⡏⠀⢠⡇⠀⢰⣳⠁⡿⡇⠀⠀⢀⠃⢸⠀⠀⠀⢸⡄⢸⡄⠀⠀⠀⠀⣧⠀⢸⡀⠀⠘⣇⠀⠀⠙⢦⣀⣀⣀⣀⣴⠚⠁⢻⠀⠀⠀⠀⠀⠀⢱⠀⠀⢸⣿⠀⠀⠀ ⠀⠀⠀⠀⡇⢀⣧⠀⢸⠀⠀⣸⡿⠖⡿⣿⠂⠀⢸⠀⢸⠀⠀⠀⠈⣷⠈⣇⠀⠀⠀⠀⢸⡈⠙⡏⠓⠀⢹⡄⠀⠀⢸⠈⡇⠀⠀⠸⡀⠀⠈⣇⠀⠀⠀⠀⠀⠸⡇⠀⢸⣼⠀⠀⠀ ⠀⠀⠀⢰⡇⣸⢹⠀⠘⠀⠀⣿⠀⠀⣷⡟⡆⠀⣸⠀⢸⡀⠀⠀⠀⢿⡆⠸⡀⠐⠀⠀⠀⢇⠀⡇⠀⠀⠀⣿⠀⠀⠈⡆⣇⠀⠀⠀⣇⠀⠀⠘⢦⠀⠀⠀⠀⠀⢳⠀⢸⢹⡀⠀⠀ ⠀⠀⠀⢸⡇⡟⣸⠀⣧⠀⢠⡏⠀⠀⠸⣧⢻⠀⢿⡄⠀⣧⠀⠸⡀⠈⣷⡄⢳⠀⣧⠀⠀⠘⣆⢣⠀⠀⠀⠘⡆⠀⠀⡇⢸⠀⠀⠀⣿⠀⠀⢀⠈⠳⣄⠀⠀⠀⢸⠀⡼⢸⡇⠀⠀ ⠀⠀⠀⠘⣇⡇⢇⠀⣿⠀⢸⡇⢀⡤⣶⣿⣿⢦⡜⠿⢶⣽⣇⣀⢳⡀⠈⠻⣄⡇⠘⣦⡴⣖⣿⣾⣷⣶⣦⣄⢹⣦⠀⠃⢸⡀⠀⠀⣿⢦⡀⠈⠳⡀⠈⠳⠦⠤⢸⢀⢇⣾⡇⠀⠀ ⠀⠀⠀⣀⣼⣯⣼⡄⢸⡆⢸⣷⣿⣿⣿⣿⣿⠿⢿⣆⠀⠀⠈⠛⠓⠛⠛⠀⠈⠛⠶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⡇⠀⠀⣿⡀⠑⠶⣄⣈⠳⢤⣀⣴⣾⣿⣿⡟⠀⠀⠀ ⠀⣠⣞⣻⣿⣿⣿⠃⡏⣧⣾⣿⣿⣿⡟⠋⠀⢸⠛⣻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⠃⠀⠀⠿⠿⣿⣿⣿⣦⣀⢸⡇⠀⠀⣿⠙⢦⣀⡀⠒⠉⢉⡽⣹⣿⣹⣿⠛⣲⡶⠶ ⡼⡽⠋⣰⠋⠀⣿⡀⡇⣿⣿⣷⡿⠟⠀⠀⢀⣀⠁⢹⣳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⠁⠀⠀⠀⠒⠒⠛⣻⣿⣿⣿⢸⡇⠀⠀⡏⢀⣀⠈⠉⠑⠂⢸⢣⡿⢹⠟⣿⣿⣯⣄⠀ ⢱⠁⢰⠃⢀⣴⢻⡇⠃⠋⢹⣯⠓⠀⠀⠀⠈⠉⠀⢾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⠀⠀⠀⠛⠀⠀⠀⣿⣿⡟⠚⢻⠃⠀⢸⣿⣯⡛⠱⡄⠀⠀⠸⣮⡇⢸⣤⡇⠘⣆⠈⠀ ⢸⠀⠉⣩⠿⠋⢀⣧⡇⠀⠘⡿⣆⠀⠳⣄⣀⣤⡶⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣄⡀⠀⢀⡤⠴⠋⣿⣿⠀⠘⠀⠀⣸⡿⡁⠙⠃⣿⠀⠀⣾⣿⢻⢿⠁⢧⠀⠈⠣⣀ ⣮⠽⠟⠋⣀⡴⠋⣿⢳⠀⠀⠛⣿⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠁⠀⠀⣿⣿⡆⡇⠀⠈⣿⢉⠋⢙⠓⣿⣶⠾⢻⡟⡇⡇⠀⠸⡧⡄⠀⠀ ⠉⠓⠒⠾⣍⡠⠞⣿⡸⣇⢠⠐⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣻⣧⠃⠀⣼⣧⡼⠴⠁⣰⠏⠁⣠⠎⠀⡇⡇⠀⠀⠙⢭⣲⣾ ⠀⠀⢠⣀⡀⣠⢼⡏⡇⢹⢾⢲⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣹⡟⠀⣰⣽⢡⡤⠤⠚⠁⢀⡴⠃⠀⠀⢻⣾⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⠿⠖⠋⠀⢹⡌⣾⣿⠏⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⡟⣷⠁⡰⣣⠇⠀⠀⠀⣠⠶⠉⠀⠀⠀⠀⠀⠳⠽⢦⣴⣶⣶⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠘⣟⡇⠈⠻⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡾⢹⣽⠇⠔⣱⠿⠶⠶⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠸⣿⡀⠀⠀⠙⠳⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⢖⡟⢀⣯⡿⢀⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣤⣀⡀⠀⠀⠉⠓⠦⣄⣀⠀⠀⠀⣀⣀⣠⣤⡤⢶⠖⠛⠉⣠⠎⢠⣾⣟⣤⠚⠀⠀⠀⢀⣀⣠⣤⣤⠤⠤⠤⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠒⠦⣄⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⠓⠂⠀⠀⠀⠀⠉⠉⠋⠙⠻⣯⡀⠴⠒⠀⠐⠒⠺⠷⠶⠛⠛⠋⠉⠓⡶⠒⠚⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠦⣄⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠶⠖⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⠒⠶⠦⢤⣀⡀⠀⠀⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠈⠳⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢄⡀⠀⢀⡤⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠲⢧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠚⠉⠀⠈⠉⠁⠛⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⠞⠋⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠂⠀⠀⠀⠀⠀⠤⠊⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀
⠀⢀⡠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⠃⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠈⠢⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠇⡇⠀⢰⢰⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⢏⠉⠁⠀⠀⠀⠀ ⠀⠀⢰⠀⡇⢀⠀⠡⣧⡀⠀⣧⠀⠀⡀⠇⠀⠀⠀⡆⠀⢀⠀⠀⠀ ⠀⠀⠘⠐⣷⢸⡀⠀⠀⡉⠀⣇⡱⠁⡀⢻⠀⠀⠀⢱⠈⠁⠀⠀⠀ ⠀⠀⡌⡰⠊⢋⣧⡀⠀⢧⠀⡇⢀⠈⠢⣸⠀⠀⠀⢸⠀⠀⣀⠄⠀ ⠀⠀⡗⣡⣶⣼⡟⠕⢄⣘⣂⡽⣿⣿⣿⣮⣤⡀⢠⢸⠀⠉⢸⠀⠀ ⠀⠸⡿⠍⠷⠿⡵⠀⠀⠀⠀⠀⢸⡙⣭⣛⠋⠀⡀⢸⢣⠀⢸⠀⠀ ⠀⠀⡏⡆⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠶⢼⠀⢠⠃⢸⡸⠀⠂⠀⠀ ⠀⠀⡇⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡜⠀⡟⠁⢠⠀⡄⠀ ⠀⠀⢃⠀⡅⠂⠄⡀⠀⠀⠀⢀⠀⠀⢐⠇⠈⠀⢀⠃⢠⠀⣴⣇⠂ ⠀⠀⢸⠀⣇⠀⠀⠀⡩⢙⡏⠀⠀⣀⣌⠀⠀⡰⣘⣰⠏⠷⠿⡁⠀ ⠘⠄⠀⢇⠏⠴⢊⢋⡔⠁⡀⠀⠀⣠⡂⠄⠊⢘⠡⢊⠂⢄⠐⠀⠑ ⠀⠈⡲⢤⠵⠥⠁⡮⠐⠠⢈⢢⡍⡲⡀⠀⡀⠀⠴⠁⠀⠀⠡⠀⠀ ⠀⠈⠀⠈⡢⠀⢠⠀⠀⠀⠀⠙⠃⠀⠈⠪⠠⠊⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣀⣀⣀⣀⢔⡊⠙⠟⢠⣄⠀⠀⣿⣉⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣮⣾⠿⠛⠀⣁⠠⠄⠒⠒⢒⠀⠄⣘⠿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣿⣧⣶⠞⠁⡐⢁⠀⠀⠀⠀⡑⡀⠀⠳⢄⠀⠀⣿⣧⠀⠀⠀⠀⠀ ⠀⠀⣰⣿⣿⠏⠀⡐⢀⠃⠀⠀⠀⠀⠀⢠⣰⣷⣶⢆⠀⣿⣿⣄⠀⠀⠀⠀ ⠀⣰⣿⣿⠿⠀⠀⠀⡈⢰⠀⠀⠀⡇⢀⡈⢿⣿⣿⠀⢻⣿⣿⣿⣣⡀⠀⠀ ⢰⣿⣿⠏⠀⠂⢰⠀⡇⣀⡀⠀⠠⢣⠀⡏⢂⠉⠀⠃⣼⣿⣿⣿⣷⡇⠀⠀ ⠈⢻⠣⠀⢠⠀⢸⠀⣇⠹⡇⠇⠸⠶⣦⣵⣸⠀⠀⠀⠸⣿⣿⣿⠃⠀⠀⠀ ⢀⡳⠀⡔⣼⢠⢈⡧⠿⠆⠘⠈⠀⠀⣾⡿⡙⠀⠀⡀⠀⠹⡿⠇⠀⠀⠀⢰ ⣼⡇⡞⠠⠏⡼⠜⠣⡀⠀⠀⠀⠀⠀⠀⠠⡇⠂⠀⡇⠀⣠⢧⠀⡀⠀⠀⠸ ⠘⠐⠧⣡⡎⠀⠀⠀⢰⣄⡀⠀⠀⢀⣠⠗⠃⢀⢰⡙⡄⣟⢸⡘⠀⠀⠀⠀ ⠀⠀⡜⡜⠀⠀⠀⠀⠈⢣⡾⣷⠘⠋⠀⢄⡀⡘⢆⠜⠈⣎⢤⡇⠀⠐⢄⠀ ⠀⠀⣿⣀⠀⠀⣀⠤⠀⣊⠌⠻⣒⠄⢒⡡⠔⠈⡱⢁⠜⠁⠘⡿⣄⠀⠀⠃ ⠀⢸⡸⠺⣉⠀⠀⢀⡠⠘⠀⠀⣞⡺⠀⠀⢠⢏⠔⢱⠀⠀⠀⡇⠘⠡⠀⠘ ⠀⠃⠋⠀⠀⠀⠈⡞⠀⠀⠀⠀⢸⠊⠀⠀⣜⠎⠀⠀⢂⠀⢀⠇⠀⠀⠀⠀
⠀⠀⠀⠀⣠⡶⢦⣄⠀⠀⠀⠀⠀⠀⠀⣠⡶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡟⢀⡀⠙⣷⡀⠀⠀⠀⢀⡾⢋⡤⡙⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⠃⠇⠙⣄⠘⠧⠤⠤⠤⣾⢡⠏⠀⢱⡈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡟⠘⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢄⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⡏⠀⢀⡖⠲⣄⠀⠀⠀⣀⠤⠊⠁⠀⢣⡀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣠⠤⠞⠀⠀⠈⠑⠦⠊⠁⠀⠀⠀⠀⠀⠙⠒⡂⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀ ⢀⡇⢱⠀⢱⣶⡄⠀⢠⣤⣤⡄⠀⠀⣴⣶⡆⠀⠰⠥⡀⠘⣧⠀⠀⠀⢀⣀⣀⡀ ⢸⡇⡞⠀⠈⠋⠁⠀⢈⣩⣭⣁⠀⠀⠉⠉⠀⠀⠀⢠⢇⣤⡿⠀⣠⡶⠛⠉⢸⠃ ⠘⠷⠿⣤⣄⣀⡀⠀⠹⣏⣠⠟⠁⠀⠀⣀⣀⣤⡶⠟⠋⠁⢀⡾⠋⠀⠀⠀⢸⡄ ⠀⠀⠀⠀⠀⠉⠉⡟⠛⠒⠒⠒⠚⠛⠋⠉⠁⠈⠻⣦⠀⠀⢸⢇⡠⡄⠀⠀⠈⡇ ⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⢸⡄⠀⠀⠀⣤⠀⠀⠀⠘⣧⠀⢸⠉⠀⠧⠴⠲⣸⡇ ⠀⠀⠀⠀⣾⠛⢷⣧⡀⢀⣸⡇⠀⣀⢤⣿⠞⠛⢻⡄⢹⣆⣿⠀⠀⠀⠀⣠⡟⠀ ⠀⠀⠀⠀⢹⡆⠀⢿⡈⠉⠸⡟⠊⠁⢸⡇⠀⠀⣸⡇⢈⡟⠁⠀⢀⣠⡾⠋⠀⠀ ⠀⠀⠀⠀⠀⠻⠶⠾⠷⠶⠶⠷⠶⠶⠾⠧⠤⠾⠿⠴⠾⠷⠶⠛⠋⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⡀⠀⠀⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠔⠁⠀⢀⠎⠀⠀⠀⢁⠀⠀⠈⠢⠀⠈⢢⡀⠀⠑⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠎⠀⠐⠀⠘⠀⠀⠀⠀⠀⢃⠀⠀⠀⠡⢀⠙⣶⠀⠀⠘⡄⠀⠀⠀ ⠀⠀⠀⠀⡌⠂⠀⡇⠀⡆⠀⠀⠘⡄⠀⢸⣄⠀⠀⠀⢃⠑⢴⡆⢀⡴⢳⠀⠀⠀ ⠀⢄⠀⠀⢻⠀⠸⣇⡀⢇⠀⠀⠀⡑⡤⠐⡙⡀⠀⠀⠸⡠⡙⡷⣏⣀⢀⠀⠀⠀ ⠉⠚⢆⠀⢸⠀⢰⢰⣈⣏⣇⠀⠈⡄⢼⠟⢍⢳⡦⠀⢀⠣⠜⠙⢌⠙⢻⠀⠀⠀ ⠀⠀⣀⠀⣾⡀⠘⡸⡏⣎⣇⠑⢄⢃⠘⣖⡺⠘⠁⠀⣿⠐⢰⡛⡘⠀⢸⠀⠀⠀ ⣠⢤⡿⠀⢹⢱⡄⠑⣧⡑⠃⠀⠀⠈⠀⠀⠀⠀⡆⡸⠃⠐⠚⡡⠁⢸⢸⠀⠀⠀ ⡠⢜⣠⠀⠀⠁⠙⠦⣷⠁⠀⠀⠀⠀⠀⠀⠀⠤⠜⠀⡐⣹⣿⡇⠀⠸⡄⠀⠀⠀ ⠀⠩⢧⣶⠆⠀⠀⠀⠀⠢⡀⠀⣀⣀⡀⠀⠀⠀⣠⠎⠀⣿⣿⣇⠀⠀⣧⠀⠀⠀ ⠀⠀⠀⠉⡀⢀⣀⣀⠠⡔⢾⢟⢭⣀⣀⣀⣤⡾⠁⠀⠀⢻⣿⣿⡆⠀⢸⠀⠀⠀ ⠀⠀⠀⣠⢋⠬⠉⢻⠇⠀⠈⣸⡘⣿⣿⡟⠋⠀⠀⢀⠔⠁⠀⠀⠙⢀⠀⠃⠀⠀ ⠀⠀⠀⡅⠁⢈⢰⠁⡠⠂⠈⢹⠋⡩⡻⠻⠀⠀⠀⠆⠀⠀⠀⢡⠀⠀⢂⠘⡀⠀ ⠀⠀⠀⠅⠀⢸⡆⠰⠢⡀⠸⠠⢋⠌⠀⠲⠠⠒⢨⠀⠀⡠⠄⠒⢄⠀⠀⡄⢡⠀ ⠀⠀⢀⣾⠀⢘⢿⠇⠀⠈⠗⢠⠂⠑⠤⠤⠐⠈⢹⠔⠡⠀⠀⠀⠀⠱⡀⠃⠀⡄ ⠀⠀⢪⣙⠐⡑⠹⠠⢀⡊⣠⡁⠀⠠⠂⠀⠀⢀⢿⢠⠁⠀⠀⠀⠀⠀⠐⡄⢰⢀ ⠀⠀⡙⣀⠠⠐⠘⢨⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠂⠀⠀⠀⠀⠀⠀⢎⢷⢸⠸
TO WHOEVER SAID “can we just hold hands 😞” I AGREE!♡⸝⸝
⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣶⡿⠟⠛⠛⠛⠛⠛⢿⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡿⠟⠛⠛⠛⠛⠛⠿⣷⣦⡀⠀⠀⠀ ⠀⠀⣰⣿⠟⠁⠀⠀⣀⣀⣀⣀⣀⠀⠈⠙⢿⣦⡀⠀⠀⢀⣀⣀⣤⣤⣴⣶⣶⣶⣶⣶⣶⣤⣤⣤⣀⣀⡀⠀⠀⣰⣾⠟⠁⠀⢀⣀⣀⣀⣀⡀⠀⠀⠙⢿⣦⡀⠀ ⠀⣼⡿⠁⠀⣠⣶⡿⠟⠋⠉⠙⠻⢿⣦⡀⣀⣿⣷⣾⠿⠟⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠿⠿⣾⣿⣅⣀⣴⣾⠿⠛⠉⠉⠛⠿⣷⣄⠀⠀⠹⣷⡀ ⢸⣿⠀⠀⢰⣿⠋⠀⠀⠀⠀⠀⢀⣠⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣧⣄⠀⠀⠀⠀⠀⠈⢻⣧⠀⠀⢻⣷ ⣿⡇⠀⠀⣿⠇⠀⠀⠀⠀⣠⣶⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣦⡀⠀⠀⠀⠈⣿⡇⠀⢸⣿ ⢻⣧⠀⠀⣿⡆⠀⠀⣠⣾⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣶⡀⠀⠀⣿⡇⠀⢸⣿ ⠈⣿⣆⠀⠸⣷⣄⣾⡿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⣼⡟⠀⢀⣿⠏ ⠀⠘⣿⣦⡀⣸⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡀⣠⣿⠏⠀ ⠀⠀⠈⠻⢿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡟⠁⠀⠀ ⠀⠀⠀⢀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⠀⠀⠀ ⠀⠀⠀⣸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠿⣷⣶⣄⠀⠀⠀⠀⠀⠀⠀⢀⣀⣄⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⠿⣷⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡆⠀⠀ ⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣧⣀⣼⣿⣿⠀⠀⠀⠀⣀⣴⡾⠿⠛⠋⠙⠻⠿⣷⣦⡀⠀⠀⠀⢸⣿⣇⣀⣽⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠀ ⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⡿⠀⠀⣠⣾⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠸⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀ ⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠋⠀⢀⣼⡿⠋⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠻⣿⡄⠀⠈⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀ ⠀⠀⠀⣿⡇⠀⠀⠀⢀⣤⣴⣶⣶⣶⣶⣶⣤⣄⠀⠀⣾⡟⠀⠀⠀⠀⠀⠘⣿⣿⣿⡿⠂⠀⠀⠀⠀⠸⣿⡄⠀⣠⣤⣶⣶⣶⣶⣶⣦⣤⡀⠀⠀⠀⠀⣾⡇⠀⠀ ⠀⠀⠀⢻⣧⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⠟⠀⢸⣿⠀⢠⣧⡀⠀⠀⠀⢘⣿⣟⠁⠀⠀⠀⣠⣶⡄⢻⣷⠀⠻⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⢀⣿⠇⠀⠀ ⠀⠀⠀⢸⣿⡀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⢸⣿⡀⠀⠙⠻⠿⣶⡾⠿⠋⠻⠿⣷⡶⠿⠟⠉⠀⣼⡿⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⣸⣿⠀⠀⠀ ⠀⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠇⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⢿⣦⣄⣀⠀⠀⠀⠀⠀⢀⣀⣤⣶⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠿⠷⠶⠶⠿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣶⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣶⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⠿⣶⣦⣤⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣤⣴⣶⠿⠿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠛⠛⠛⠛⠛⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠚⠉⠉⠉⠉⠉⠉⠓⠲⠤⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⠟⠁⢀⠴⠚⠃⠤⠄⠀⠲⡄⠀⠀⠀⠈⠛⢦⡀⠀⠀⠀ ⠀⠀⠀⣰⠋⠀⢀⠔⠁⠀⢀⠀⠀⣀⡀⠀⠘⡄⠀⠀⡀⠀⠀⠹⣆⠀⠀ ⠀⠀⡾⢡⠏⠀⠀⠀⣄⠀⢻⠀⠀⢀⡆⠀⠀⠹⡄⠀⠻⡄⠀⠀⠘⣆⠀ ⠀⢸⣵⡏⠀⠀⣀⡾⢻⡀⠈⡇⠀⣼⢻⡄⠀⠀⢷⠀⡆⣧⠀⠀⢳⠹⡄ ⠀⣿⡿⠀⡄⣠⡏⠀⠘⣷⠀⢳⢰⡇⣀⡙⣆⠀⢸⠀⡇⢸⠀⠀⢸⣧⣧ ⠀⢃⡇⢀⣇⣿⠛⡶⣦⣼⣆⠈⢿⠀⠀⠈⠉⠳⣾⣴⠃⢸⡇⠀⢸⣿⣾ ⣠⣞⣠⣼⣿⣿⠀⢧⣉⣻⠛⣷⢸⡄⢴⠿⣷⣶⣾⣿⠀⢸⡇⠀⢸⣙⡏ ⠉⠉⠘⣯⡇⢿⠃⠀⠀⠀⠀⠈⠻⣷⠈⠣⣬⠞⢹⠃⢀⣿⣇⠠⣤⣳⣀ ⠀⠀⠀⠘⢷⣼⡷⢤⡀⠀⠀⣀⣀⣈⠁⠀⠀⠀⡾⠀⣾⡟⠻⢦⣳⣌⠉ ⠀⠀⠀⠀⠀⠁⠀⠀⣿⢿⣶⣶⡤⢤⣤⣶⡶⣾⠃⡼⢿⣇⠀⠀⠈⠉⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⢾⢻⣿⣷⡷⢾⠀⢻⣧⠞⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⣶⣁⣾⠈⢿⠿⠉⠀⢷⡾⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠞⢳⡼⣇⠀⢸⡇⠀⠀⢀⣷⠖⣻⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠯⠴⠏⢸⢛⠀⢸⡇⠀⠐⠛⣻⣯⡁⢱⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⡦⢭⣿⣽⣆⣀⣠⢤⡏⠳⠤⠿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠛⠿⢿⡧⠤⠖⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⡟⢸⣧⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣶⣾⣿⣤⣤⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣛⠁⢀⣿⡛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠎⠀⠀⠀⠀⠀⠀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡄⠀⠀⠀⠀⢀⣙⣦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣄⠀⠀⠀⠀⠀⣿⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠘⣽⡆⠀⠀⠀⠀ ⢀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⢹⡟⠀⠀⠀⠀ ⢁⡀⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⢿⣦⠀⠀⠀ ⠈⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⠖⢢⣸⣆⣀⠀⠀⠀⠈⣿⠆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⠁⣰⠀⢸⠻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠘⣷⣦⣀⠀⠀⠀⣞⠉⢉⣦⣤⢬⣇⣀⣭⡿⠀⠀⠀⠸⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⢀⡟⢠⠟⡆⢸⡀⢱⣄⣠⣶⠀⢣⠀⠀⠀⠀⢸⡰⣄⠀⠘⣏⠛⠻⢶⡞⠙⢲⠏⡁⠀⠐⠛⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⢸⡇⠸⠀⠘⢿⣿⠛⠛⣄⠀⠳⣌⣧⠀⠀⠀⠀⣇⠢⠙⢶⣾⢧⡤⢾⡤⠶⠿⣤⣁⣤⠴⡎⠹⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣷⣇⢠⣦⣬⣙⠢⡀⠈⠑⠢⠿⠛⠳⢼⡗⠤⣸⣄⠀⠀⠈⠛⢳⣄⠄⠀⠀⠀⠀⠙⢦⡈⢶⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣻⣷⣌⠂⠀⠀⠠⠤⣤⠴⠆⠀⠈⠉⠹⡄⢀⡴⣋⣤⣶⣶⣶⣶⣶⣄⡀⠙⠲⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡟⣿⠟⠛⢻⠟⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢺⣾⣿⣿⣿⣷⣧⣽⣿⣿⣿⣷⣀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⡟⣆⠀⢸⣿⣿⣝⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣛⣿⣤⡾⢷⣤⣸⡇⠉⠛⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣿⣇⠈⠀⣀⡁⠾⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣏⣽⡿⠋⠈⣿⠃⠀⠀⣸⠋⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⣽⡀⠀⠉⠙⠳⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⣓⣒⣋⠁⣀⣠⡎⠁⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠳⠤⠼⠋⠉⠁⣆⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⠈⠻⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢏⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡄⠀⠸⡗⣶⣶⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⢛⣽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢳⡀⠀⠹⣦⢨⠙⢦⡀⠀⠀⠀⢸⣿⠗⠲⣖⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀ ⠀⣶⠀⣀⠀⠀⠳⣄⠀⠙⠿⢄⣀⠉⢲⣄⠀⠀⠙⠋⠉⠙⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⣾⠏⠀⠀⠀⠀⠀⢀⡖⠀⣠⡄⠀⢸⠀ ⠀⠘⣧⣹⣷⣤⣀⠀⠉⠲⢤⡀⠈⢉⣹⢿⠙⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠤⡒⠋⢁⡤⣞⠁⠀⠀⠀⠀⢀⣴⡟⣁⡔⠃⠳⡄⠈⣶ ⠀⠀⠈⠿⣿⣮⣽⣿⣦⠶⠿⠛⠛⠻⠬⣮⡳⣤⣌⣙⣶⡶⣶⡖⠒⠛⠉⠁⠀⠀⠀⣀⣬⠞⠉⠀⢀⣀⣀⣴⡿⠷⠚⠉⠀⠀⠀⠈⠓⠾ ⠀⠀⠀⠀⠀⠉⠉⠉⠀⣀⣤⠶⢶⠒⠒⢲⣯⣽⠟⠉⠀⡾⣯⣧⠀⠠⢤⣀⣠⠔⠋⠁⡠⠋⠉⠉⠉⠙⣷⠶⢶⡎⠤⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⠟⠉⠀⢰⠃⠀⣠⡏⡼⠁⠀⠀⠈⢿⠟⠁⠀⠀⠀⠀⠀⣠⠴⠋⠀⠀⠀⠀⠀⢠⠏⠙⠛⠉⠉⠉⠀⠴⠛⠛⠲⣄ ⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀⢠⠏⠀⢰⡏⠰⠃⠀⠀⠀⠀⠈⣦⠀⠀⠀⣠⠔⠋⠀⠀⠀⠀⠀⠀⠀⢀⡎⡠⠂⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡤⠤⣦⢴⠟⠋⠁⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣠⡶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⣿⣀⠀⠀⠀⠀⠀⠀⢠⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠉⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⡀⠀⠀⠀⠀⠀⢴⣾⡙⣻⡷⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣆⠀⠀⠀⠀⠀⠘⢿⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⠆⠀⠀⢰⣿⣦⠤⠔⠀⢹⣧⣀⣀⠀⠀⠀⠈⠀⡀⠀⠀⠀ ⠀⠀⣸⣆⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⣀⡀⠀⠀⠀⠀⠾⠂⠀⠀⠀⢻⡏⠀⠀⢾⡛⠻⣯⣉⠁⠀⠀⠀⢀⡿⣤⣀⡀ ⠠⣴⣟⣻⡷⢶⠀⠀⠀⣾⠀⠀⠀⢰⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠠⠀⠈⠛⠛⠛⣿⠛⠂⠀⠐⠻⣷⣼⠟⠉ ⠀⠀⠹⡿⠀⠀⠀⠀⠀⣿⣠⣀⣒⠀⢋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠔⠀⠀⠀⠀⠈⠋⠀⠀ ⠀⣠⠀⠀⠀⠀⠀⢀⣤⣿⠟⣿⡉⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⡿⢶⣤⡀⠀⠘⠟⢁⣿⡞⠛⠉⠀⠀⠀⠀⠀⠀⠀⣰⣤⣤⡶⠤⣤⣄⠀⠀⠀⠀⠺⣧⡀⠀⠀⣴⠟⢿⡆⠀⠀⠀ ⠛⢷⣾⠋⠀⠀⠀⠀⣾⠛⢷⣤⣀⡀⠀⠀⠀⠀⠀⣼⠋⡁⢻⡀⢀⠀⠉⠀⠀⠀⠀⠀⠈⢻⣤⠀⣿⠐⢸⡇⠀⠀⠀ ⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⣷⠄⠀⠀⠀⠁⠀⢀⣸⡷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⡏⠀⣾⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⣼⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣶⣶⣾⣾⣷⣶⣶⣶⣤⣤⣀⠀⠀⠀⠀⡋⠉⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣖⠷⠖⠒⠲⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀ ⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⣿⣮⡳⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⡀⢻⣿⣿⠙⣿⣿⣌⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠐⠄⠄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢿⣿⣿⣿⣿⣷⡘⣿⣿⣷⡜⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⡀⠘⡀⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⡇⠈⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣆⡀⠀⠀⠀⠀⠀⠀⠠⠜⠃⢡⠂⠀⠀⠀ ⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⡇⠀⢹⣿⣿⣿⣿⣿⣿⣿⢹⡿⣿⣿⣿⣿⣿⣿⣭⠀⠀⠀⠀⠀⠀⢠⢄⢠⠀⠀⠀⠀ ⡠⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⣼⢇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⠇⠈⣿⠘⢦⠈⣿⣿⣿⣿⣿⣿⣿⠀⡷⢻⡟⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠄⠄⠉⠀⠀⠀⠀ ⠀⢀⡴⠉⠀⠀⣤⣤⣤⣤⣴⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⣿⡿⠖⠛⠛⠳⢾⣷⣇⣹⡿⠿⠟⠛⢃⣼⠷⠶⢿⣼⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡴⠋⠀⠀⠀⣠⣿⣿⠿⢫⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡏⠀⠀⠀⠀⠀⣄⠹⣿⢷⣦⠀⠀⠀⢻⣏⡄⠀⠀⢸⢿⣿⣿⣯⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢ ⠞⣠⢞⣵⠞⣡⣿⡟⡀⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠘⣿⠀⠸⠇⠀⠀⠀⠀⠘⢽⡇⠀⠀⢸⢸⣿⣿⣿⡞⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡷⣋⡴⢟⡵⣿⡷⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⢸⣿⣿⣿⣿⢿⣿⡄⠀⠀⠀⠀⢀⠀⠀⣀⠷ ⣿⢟⣥⠞⠃⠀⣿⣃⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢳⡀⠀⢀⣀⣠⡴⠟⠀⠀⠀⠀⠀⠀⠀⠠⣤⡾⠃⣾⣿⣿⣿⣿⢸⣿⣇⠀⠀⠀⠀⠈⠑⢦⣿⡻ ⢿⣫⠄⣀⠄⠒⣿⢿⡷⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⣻⠋⢍⣏⣁⡄⠀⠀⠀⠀⠀⠀⠀⢰⠆⠀⠰⠘⣿⣿⣿⣿⣿⣸⣿⣿⡄⢀⣀⠀⠀⣀⠀⢫⡿ ⣫⠔⣊⡥⠂⠀⣿⣼⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠉⠁⠈⠋⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⢿⡇⢸⣟⠿⣶⣆⡀⠈⠁ ⢶⣫⠵⢂⣠⠴⣿⡟⣭⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⡇⠰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠸⠁⢸⣯⣻⣿⣬⣿⢷⣦ ⣯⠵⣛⣭⠤⠂⠛⠉⠛⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⠀⠀⠀⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠄⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⠀⠀⠸⠛⠋⠉⠉⠉⠛⠷ ⣚⣯⠥⢂⡀⠀⠀⠀⠀⠀⠸⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⠹⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐ ⠷⣒⣋⠉⠁⠀⠀⣀⣤⠄⠀⠘⣧⠹⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠙⢿⡦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣽⡆⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉ ⡭⠿⣶⣶⣿⣯⠥⠤⠀⠀⠀⠀⠈⠂⠀⢘⣫⠟⠋⠀⠀⠀⠀⠉⠙⠻⠿⠯⣿⠷⠤⢷⣄⡉⠉⠒⠶⣤⣤⣤⣤⣶⣿⣿⢿⡿⣋⣉⠑⠃⠀⠉⠳⣌⠁⠀⠀⠀⠀⠀⠀⠀⠀⠑⠲ ⣉⣭⠽⠿⠷⠖⠂⠀⠀⠀⠀⠀⠀⠀⣴⠏⠉⠑⠲⡀⠀⣠⠞⠙⠒⠦⢄⣀⠈⠙⠦⣄⠀⠈⠉⠑⠲⢬⣛⠮⣽⠛⠿⣾⠿⠭⣁⠈⠙⠳⣄⡀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠂⠤⢤⣉ ⣒⣛⣛⡻⠋⠠⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⢹⡈⠁⠀⠀⠀⠀⠀⠀⠉⠓⠦⢄⡙⢦⣤⠤⠤⠤⠬⣿⣻⠷⠞⢿⣿⢶⣭⡟⢦⣄⠀⠙⢦⠀⠀⢳⡄⠀⢀⣀⠀⠀⠒⠂⠠ ⣒⣒⣒⡒⠒⠒⠒⠒⠒⠒⠒⠀⢠⠇⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢿⣸⣿⣿⣿⣶⣯⣓⣦⣼⣿⣿⣿⣷⡄⠉⠓⢦⡈⢳⡀⠀⢳⠸⢵⢬⣭⣦⣤⢀⣀ ⠭⠭⠭⠥⢤⠤⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢻⡄⠀⠀⠙⢦⣹⣣⠈⣷⢄⠲⣶⡾⠶⠀⠠ ⢿⣍⣉⣀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣾⣿⡿⠀⠀⠹⡟⠿⣿⣧⠀⠀⠀⠐⠋⠻⣄⢻⣟⣛⣛⣛⣋⣉⣉ ⣿⣓⡒⠢⠄⠀⠉⠉⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠰⡀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠟⠉⠀⠀⠀⠀⠈⠳⣄⡈⠳⡄⠀⠀⠀⠦⡈⠻⣧⣬⣬⡤⠦⠤⠶ ⣿⡶⠬⣭⣀⡀⣀⣀⣀⢀⣀⠀⢻⣤⠀⠀⠀⠀⠀⢳⡀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡈⢦⡀⠀⠀⠘⢄⠈⢳⣶⠖⠒⣚⣉ ⡿⢭⣓⡲⠬⣭⣿⣟⠿⢿⣿⡄⠀⣏⣆⠀⠀⠀⠀⠀⢳⡀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡄⢳⡀⠀⠀⠀⠳⡀⠙⣦⣬⣽⣽ ⣭⣒⠮⢍⠓⠲⣿⣟⢿⣶⣿⠇⢀⡟⣟⡄⠀⠀⠀⠀⠀⠹⣼⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠀⢳⠀⠀⠀⠀⠹⡄⠈⣿⡻⣛ ⣷⢯⣝⠲⠄⠀⣿⢏⡀⡴⣿⣆⡟⠉⠙⠾⣄⠀⠀⠀⠀⠀⠹⣷⠚⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢺⡇⠈⡆⠀⠀⠀⠀⠀⠀⢈⣉⠽ ⢯⡓⢦⣙⡀⠀⣿⠄⢳⠛⣿⠻⢾⣛⠲⢄⡈⠳⢄⠀⠀⠀⠀⡿⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡜⡾⢰⠀⡇⠀⠀⠀⠀⠀⠀⢸⡦⠒ ⠳⣌⠻⢬⡙⠲⣿⣄⠀⠙⣿⠆⠀⠈⠳⣄⣙⡦⣄⠙⠒⠤⣄⣷⣤⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡸⢱⠁⠁⢸⠆⡇⠀⠀⠀⠀⠀⠀⠀⣗⣉
⠀⠀⠀⠀⠀⠀⢀⣴⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⡿⠉⠙⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠛⢻⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⡿⠁⣀⡀⠀⠙⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠋⢠⣤⡄⠙⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⠃⢰⠏⠻⣄⠀⠈⢿⣷⠀⠀⠀⠀⠀⠀⣼⡿⠁⣴⠏⠀⢻⣆⠈⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⡟⠀⡟⠀⠀⠹⣦⠀⠘⠿⠿⠿⠿⠟⠻⠿⠿⠅⢸⠃⠀⠀⠀⢹⡄⠸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡇⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⣿⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⢻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣾⡟⠀⠀⠀⢀⣠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠋⠈⢻⣄⠀⠀⠀⠀⠀⠘⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣸⣿⠁⠀⠀⢀⣾⠁⠈⠻⣦⡀⠀⠀⠀⠀⢀⣤⠶⠋⠁⠀⠀⠀⠀⠹⣦⠀⠀⠀⠀⠀⠹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⠇⠀⠀⢀⡾⠁⠀⠀⠀⠈⠙⢷⣄⣠⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⠷⠤⢤⣄⠀⠀⢻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣿⢰⡟⠉⠉⡁⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡏⠈⣷⠀⠀⣿⣿⣷⡄⠀⠀⠀⢠⣤⣤⣤⣤⠀⠀⠀⠀⢠⣾⣿⣿⠀⠀⠀⠰⢿⣤⣄⡀⠀⢿⣷⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀ ⣿⡇⠀⣸⡆⠀⠹⣿⣿⠇⠀⠀⠀⠸⠿⠿⠿⠿⠀⠀⠀⠀⠸⠿⠿⠋⠀⠀⠀⠀⠀⠀⢸⡇⠀⠘⣿⡆⠀⠀⠀⣠⣴⣾⠿⠛⢻⣿⠃ ⣿⠁⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣶⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣟⣠⣴⣿⠿⠃⠀⣴⣾⡿⠋⠁⠀⠀⢸⡇⠀ ⣿⣷⣬⣿⣄⣀⠀⠀⠀⠀⠀⠀⠘⢿⣏⠙⢀⣽⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⠿⠛⠉⠀⠀⣠⣾⡟⠋⠀⠀⠀⠀⠀⢸⡇⠀ ⠀⠈⠉⠛⠛⠻⠿⢷⣶⣦⣤⣀⣀⣘⠛⠿⠟⠋⠀⢀⣀⣀⣀⣤⣴⣶⣶⠿⢿⣿⣅⠀⠀⠀⠀⠀⢠⣿⠏⠀⠀⠀⠀⠀⠀⠀⠸⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢹⡟⠛⠛⠿⠿⠿⠿⠿⠛⠛⠛⠋⠉⠉⠀⠀⠀⠀⠙⣿⣧⡀⠀⠀⠀⢸⡿⠀⣠⣤⡆⠀⠀⠀⠀⠀⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⡇⠀⠀⠀⠀⢤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⡀⠀⠀⢸⣷⠞⠋⢰⡇⠀⢀⣀⡀⠀⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⣶⡆⠀⠀⠀⠀⠀⠈⢿⣧⠀⠀⢸⡇⠀⠀⠀⠷⠴⠟⠁⢷⣼⣿⠀ ⠀⠀⠀⠀⠀⠀⣾⡿⠿⣿⣾⣿⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⢠⣿⣥⣶⡿⠿⢿⣦⠀⠈⣿⡇⢀⣿⡇⠀⠀⠀⠀⠀⠀⠀⣸⣿⠃⠀ ⠀⠀⠀⠀⠀⠀⣿⡇⠀⠈⢿⣿⡶⣄⣀⡴⠿⣿⣄⠀⣠⠶⠛⢹⣿⠟⠁⠀⠀⠈⣿⡇⠀⢹⣷⣾⡿⠁⠀⠀⠀⠀⠀⣠⣾⡿⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⣷⡀⠀⠈⢿⣇⠈⠉⠀⠀⣿⠛⠛⠁⠀⠀⢸⡇⠀⠀⠀⠀⢀⣿⠇⠀⢸⣿⠉⠀⠀⠀⠀⢀⣠⣾⡿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢿⣷⣄⡀⣸⣿⡀⠀⠀⢀⣿⡄⠀⠀⠀⠀⣸⡇⠀⠀⢀⣠⣾⡟⠀⢀⣾⣟⠀⣀⣠⣴⣾⠿⠛⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⠿⠿⠟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣄⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⡿⠿⠛⠉⠉⠉⠛⠻⠿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⣿⠁⠀⠀⠀⠀⠀⣠⣴⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣦⣄⠀⠀⠀⠀⠀⠈⣿⣧⡀⠀⠀⠀⠀ ⠀⠀⢀⣴⠿⣻⡟⠀⠀⠀⠀⠀⢸⣿⣿⣦⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣦⣿⡇⠀⠀⠀⠀⠀⠹⣿⣿⣶⣄⠀⠀ ⠀⢰⣿⢃⣴⡟⠁⠀⠀⠀⠀⠀⠸⣿⣿⣿⡿⠃⠀⢠⣦⠀⠀⠀⢰⣆⠀⢻⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠹⣿⣎⢿⣆⠀ ⠀⣿⡇⢸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣦⣤⣤⣿⠇⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠈⣿⡆ ⢰⣿⣷⡜⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡟⣼⣿⡇ ⢸⣿⠙⢿⣶⣝⡻⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⡿⢛⣩⡿⠋⢹⡇ ⢸⣿⠀⠀⠉⠻⢿⣶⣾⣭⣛⡿⠿⣶⣶⣶⣦⣤⣤⣤⣄⣀⣤⣄⣤⣤⣤⣤⣤⣤⣶⣶⡾⠿⢿⣋⣭⣷⠿⠟⠉⠀⠀⢸⡿ ⢸⣿⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⠿⠿⢶⣦⣤⣤⣭⣭⣭⣍⣉⣉⣩⣭⣭⣭⣭⣤⠶⠶⠿⠟⠛⠋⠁⠀⠀⠀⠀⠀⠀⣿⡇ ⠀⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠇ ⠀⠸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡏⠀ ⠀⠀⠻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀ ⠀⠀⠀⠹⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠿⣷⣶⣤⣀⣀⡀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣴⣶⣟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠿⠛⠉⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠋⠉⠁⠈⠙⠻⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⢷⣶⣤⣀⣀⣀⣀⣀⣀⣀⣀⣠⣤⣶⡶⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠛⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⠂⠀⠀⠀⠀⠀⠀⠀⠀⠒⠠⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⠖⠁⡴⠀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠢⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠊⠀⠀⠜⠀⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⣄⠀⠀⠀ ⠀⠀⠀⢠⢃⠁⢀⡞⠀⢰⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀⠀⠀⠀⠀⠘⣆⠀⠀ ⠀⠀⢠⡇⠁⠀⣾⠁⠀⣦⠀⠀⠀⠀⠀⠀⠀⡄⢀⠪⠵⠑⡄⠀⠀⠀⠀⢹⡄⠀ ⠀⠀⢆⠁⡄⢸⠹⡀⢀⠀⠀⢀⠀⠀⠀⠀⡀⢁⠈⢆⣀⣀⠕⠆⠀⠀⢃⠈⡇⠀ ⠀⢸⢸⠀⠀⡏⢩⢇⢈⢰⠀⠸⡰⠀⠀⢃⡇⠈⡆⠈⠀⠀⡆⠘⠄⠀⠈⠀⢇⠀ ⠀⠘⡔⡀⡀⣁⣴⣿⣼⠪⢦⣂⡱⣅⣢⣼⣶⣤⣴⡄⢸⠀⡧⣀⠂⡐⢄⣷⡼⠀ ⣠⢾⢿⣳⣷⣿⡟⠉⠛⡄⠀⠀⠀⠀⠘⠟⠉⢛⣿⣧⣸⠀⡏⠢⠝⢨⣿⣿⣷⠒ ⡅⢦⡌⣏⠉⣏⢀⣈⣡⠇⠀⠀⠀⠀⠀⣄⠈⢀⡸⣿⠙⠀⡿⠍⡄⢸⣧⠿⠘⢀ ⠫⠭⠊⣿⡄⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⣿⡄⣸⠩⢉⠟⡙⢏⠀⠓⣤ ⠀⠐⠖⠋⡼⡞⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⣠⠇⢈⠠⠊⠀⠘⠧⠤⠄ ⠀⠀⠀⠀⠀⠹⡀⠑⠠⣀⠀⠀⠀⠀⠀⣀⠠⡰⣹⢃⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠂⢄⠀⠀⠙⠓⠂⣀⠉⠤⠼⠯⠇⢑⣚⠚⠋⢑⠒⠈⠉⠁⠀⠈⠐⢄⠀⠀ ⠀⠀⠀⠀⠈⢢⠤⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠃⠤⠀⠀⢀⠀⠉⠉⠁⢂⠀
⠀⣰⢦⠀⣠⢶⡀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠸⠭⠳⠭ ⣼⠷⢺⣴⡿⠾⣇⡀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣷⢾⢐ ⠧⠴⡶⠚⢸⠇⢸⡏⠀⡸⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⡇⠀⣿⠀⣘⡀⢀⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠀⠀⠀⣼⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⢿⣧⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⢻⣧⣹⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⠉⢰⠏⣸⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⢿⣿⡏⠀⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣽⣿⣿⣿⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⢣⣧⣾⢠⣿⣿⣿⣿⣿⣾⣽⣿⣿⣿⡏⣾⣿⢀⣎⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣇⣾⣿⣿⡟⣿⢻⣿⣿⣿⣿⣿⡇⢹⣷⠟⠋⠉⠀⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠁⣿⠸⣿⣿⣿⣿⡟⣄⢼⡏⠀⣠⡀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⣿⣿⣟⣹⡿⣄⣉⠛⠛⠙⠃⠀⠸⠇⠀⠸⣿⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠟⠋⠁⠀⠀⠙⠄⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⢀⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇ ⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣧⢹⡀⠀⠀⠀⠐⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠴⠒⠉⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢰⣾⣿⣿⣿⣿⣿⣿⣿⣷⣧⡀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠄⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⡀⠀⠀⢀⡤⠀⠀⠄⠀⠀⠀⢀⠔⠉⠀⠀⠀⢀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟ ⠀⣿⣿⡿⢡⣿⣿⣿⣿⣿⣿⣿⣿⣷⠈⠒⠐⠁⠀⠀⠀⠀⢀⡠⠐⠁⣀⣠⠤⠖⠊⣹⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃ ⣰⣿⣿⢁⡾⠛⠉⠁⠀⠀⠀⡉⢻⣿⣇⠀⠀⠀⠀⢠⠊⠉⡠⠔⣺⠉⠀⠀⠀⠀⠐⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀ ⣸⢏⡝⢸⡀⠀⠀⠀⠀⠀⠀⠃⢸⣿⣿⣆⠀⢠⠀⢸⠳⠾⠒⠉⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⢋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀ ⠡⠊⠉⠛⢏⠀⠀⠀⢀⡀⠀⠀⠀⣿⣿⣿⣆⠀⠁⠘⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠟⠁⣾⣿⣿⣿⣿⣿⣿⡿⢟⡿⠋⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠑⢄⡀⠈⠀⠀⡀⠀⢿⣿⣿⣿⣧⣄⡀⠈⠣⢄⣀⠀⠀⠀⢀⣀⠤⠛⢁⣠⣾⡿⠟⠽⣿⡿⠋⠁⣠⠊⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠒⠂⠤⣼⣿⡇⢻⣿⣿⣿⣷⣶⣤⣄⡉⠉⠉⠁⣀⣤⡶⠁⠊⠁⢀⡠⠒⠁⠀⢀⡜⠁⢠⠃⢠⣤⣴⣶⠀⠀ ⠀⠀⠀⠀⠀⠑⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣄⣙⣿⣿⣿⡝⠻⠿⠿⠿⠖⣻⢿⠋⠀⠀⢀⠔⠉⠀⠀⠀⢠⠎⠀⠀⣾⣰⣿⣿⣿⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢞⡏⠉⠁⠀⠀⠈⣩⠅⠀⠀⣴⡚⠁⢸⠀⠀⡰⠃⠀⠀⠀⠀⢀⣏⣤⣴⣾⣿⣿⣿⣿⣿⣿⠀⢠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⣉⠀⢸⣿⣶⣴⣶⣤⠚⣥⣠⣶⣾⡿⢱⡄⢇⡴⠊⢠⣴⣪⣉⣉⣉⣅⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣄⢱ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⠊⠁⠀⠀⠀⠑⣿⣿⣿⠟⠛⠃⣿⣿⣿⣿⣿⣿⣧⡄⢄⣴⣿⣿⣿⣿⣿⣿⣿⢇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠚⠹⣿⣿⠆⠀⠀⠀⠀⠀⠸⣿⡏⠉⣻⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠔⣒⣶⣶⣶⠖⢋⡤⠖⠉⠀⠀⠀⠀⠻⠿⠗⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⣡⣾⣿⡿⠛⠋⠉⠁⢀⣀⡠⠤⠒⠚⠛⠛⠓⡒⠂⠤⢀⡀⠻⢿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⡿⢃⣀⣠⣤⠔⠊⠉⡠⠄⠀⠀⠀⠀⠀⠀⠙⢄⠀⠀⠈⠑⣦⡈⠉⠉⠉⠉⢩⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⠁⠀⢀⠎⠀⡰⠁⠀⠀⠀⠀⠀⠐⡈⢣⠀⠀⠀⠙⠙⢦⠀⠀⠀⢸⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⣿⣿⣿⡟⠀⠀⢀⠎⠀⡼⠀⠀⠀⠀⠀⠀⢠⠀⢱⠀⢇⠀⣾⣷⣦⣤⣧⠀⠀⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⣿⣿⣿⡿⠀⠀⠀⠏⠀⢰⠁⢠⠀⠀⠀⠀⠀⡌⠀⠀⠀⢸⣿⣿⣿⣿⣿⡍⢣⠀⣿⣿⣿⣿⣷⣤⠂⠀⠀⠀⠀⠀ ⠀⠀⢠⣿⣿⣿⣿⡿⡇⠀⠀⠸⠀⠀⡆⠀⡘⠀⠀⠀⠐⠀⣧⠠⢀⣀⠈⢿⣿⣿⣿⣿⠃⠀⢻⣿⣿⣿⣿⣿⣏⢆⠀⠀⠀⠀⠀ ⠀⣰⣿⣿⣿⣿⡟⢠⠀⡄⠀⢀⠀⠐⠇⠀⡇⠀⠀⠀⠀⢀⡿⠀⠀⢹⠑⠈⠙⠛⠋⠙⡆⠀⣼⣿⣿⣿⣿⣿⣿⣼⣿⠀⠀⠀⠀ ⠀⣿⣿⣿⣿⠏⠀⠠⠀⢃⠀⣸⠀⢰⡀⢠⡇⠀⠀⡀⠀⣸⠀⡇⠀⢸⡄⠈⡄⠀⠀⠀⡇⠀⢿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀ ⠀⠘⢿⣿⢏⠄⠀⠀⡀⠀⠀⢸⠀⢸⣇⠀⢳⣴⠀⡇⠀⣇⣷⣾⣦⣀⡁⠀⣧⠀⠀⠀⡁⠀⠸⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀ ⠀⠀⣸⢃⠈⠀⢀⢠⡇⠀⠀⢸⡇⠈⠿⡄⠈⠻⡆⢹⡄⠃⠁⢘⣻⣿⣿⢿⡎⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⢀ ⠀⢠⣳⠇⠀⢠⠋⢸⡇⢰⠀⢸⣷⠼⠛⠻⠄⠀⠁⠀⠀⠀⠀⢸⣟⣿⡟⢸⠁⠀⠀⠀⡄⠀⠀⠀⠻⡷⢻⠀⠀⠀⠀⠀⠀⠀⣾ ⠀⣿⣿⠀⣶⠃⢀⣦⢿⠸⣆⣼⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⢠⠀⠀⠀⣧⠀⠀⠀⢀⡇⢸⠀⠀⠀⠀⠀⠀⠀⢿ ⢸⡟⢧⢀⡿⢠⠎⠸⣸⠖⠋⠀⠀⠑⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡎⣸⠀⠀⡀⢀⣿⡀⠀⢠⣾⠇⡏⣀⣠⠔⠀⠀⠀⠀⠈ ⠀⠛⠈⢦⣷⡎⢀⣴⠁⠀⠀⠀⠀⠀⢱⣄⡀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠞⠛⠀⠀⡁⢸⢻⢷⠀⣸⢟⠀⡇⠺⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠟⣽⠋⠀⠀⠀⠀⠀⠀⠘⢿⠉⣳⣦⣄⣀⣤⣶⠞⠉⡇⠀⠀⠀⢠⠁⣞⠎⡴⢣⡟⡟⢰⠃⠇⠀⠀⢀⡀⠀⠀⠀ ⠀⠀⠀⠀⡏⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣟⢻⣿⡇⠈⠃⠀⠀⠘⢀⣴⢀⡌⡜⢡⠞⠀⠀⣹⣡⠞⣤⠀⠀⠀⠀⠉⠢⡀⠀ ⠀⠀⠀⠰⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⡞⣨⠿⣯⣷⣄⣀⣀⡤⠖⠁⣀⠞⡸⠙⣅⠞⠀⡨⠋⠀⠈⢾⣷⡄⠀⠀⠀⠀⠹⡀ ⠀⠀⠀⢠⢿⡓⢦⣄⣀⠤⠤⠒⠛⠉⠀⠰⣿⠁⠀⠈⠓⣦⢤⣤⡤⠖⠚⠁⠀⣀⡔⠁⡠⢺⠁⠀⠀⠀⠈⡇⠻⢢⡀⠀⠀⠀⡅ ⠀⠀⠀⣯⠈⡻⢾⡉⠀⠀⠀⠀⠀⠀⣀⠤⠊⠀⠀⠀⢰⠋⢙⡇⠀⠀⠀⠀⣼⠋⢠⠞⠁⡎⠀⠀⠀⠀⠀⡇⠀⠈⠈⠄⠀⠀⠘ ⠀⠀⣰⠛⡦⠇⠀⠉⠁⠐⠒⢲⢒⡟⠁⠀⠀⠀⠀⠀⠈⣿⢫⠆⠀⠀⠀⢰⡏⡰⠃⠀⠀⠳⡀⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⢀⣏⣽⠁⠀⠀⠀⠀⢣⠀⠀⢀⣸⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣄⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠚⠀⠀⠀⠀⠀⣼⣿⡤⠤⢤⣤⣤⣤⣶⣾⣿⣿⣿⣷⣾⣿⣴⣂⠀⡖⠀⠠⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⣠⠴⣿⣿⣯⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠉⠉⢉⡿⠀⢰⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⢀⠤⠴⠒⠚⠛⣿⡿⣶⣶⣾⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣶⠋⢀⣴⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀ ⠀⣄⠀⠀⠀⠀⢀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀ ⠰⣿⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠂⠀ ⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤ ⠀⠀⢀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⣉⠉⠁ ⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⡧⣤⠔⠊⠁⠀⠀ ⠼⠛⠉⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⠇⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣿⣿⣿⣿⣿⣿⣧⠈⠳⡄⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠈⣀⡀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠘⣿⣿⣿⣿⣿⣿⡇⠀⠈⡀⠀⠀ ⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠈⢉⣀⣠⣤⣄⡘⣿⣿⣿⣿⣿⣿⣿⣏⠉⠒⠘⣿⣿⣿⣿⣿⣷⣦⡴⠃⠀⠀ ⠀⠀⠀⠀⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠛⠟⠛⠛⠉⠉⠀⠘⢿⣿⠟⠛⠻⠿⣿⣿⣷⢶⣿⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⣿⠿⢿⣿⡟⠻⣆⠀⠀⠀⠀⡠⠔⠀⠴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠰⢻⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡟⢡⠶⣤⣈⡿⠀⠀⢀⡀⠄⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣄⢸⡇⠓⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠧⣅⣀⡠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠈⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⢤⣄⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠷⣦⠄⠀⠀⠀⢀⣀⣠⣤⠴⠖⠛⠉⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠙⠢⣄⣀⡞⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠉⠓⠢⢤⣀⠀⠙⢷⣄⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠦⠬⣷⡎⠙⠲⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⢀⣼⣿⣿⠏⠏⠀⠀⢸⡇⠀⠀⠉⠀⠀⠀⠈⠁⠀⠀⣾⡇⠀⠀⠀⠀⠉⠁⠙⢿⣯⡽⣆⢤⣤⡀⠀⠀⢀⡩⠭⠍⡙⣦⠀⠀⠁⠀⠹⣿⡇⠀⠉⠉⠉⠉⠛⠾⣽⡂ ⣼⣿⠀⠀⢀⣾⣿⣿⡿⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⣿⡆⠉⠙⠒⠖⠋⠀⠀⠀⠀⠘⢷⡄⠐⡄⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠈⠻ ⠛⣉⣀⣼⣿⠛⣿⣿⡇⢠⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⠻⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢻⣿⣿⣻⣿⡟⢻⠀⠘⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡄⠀⠈⢿⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⣟⣷⡯⢿⠇⡾⠀⠀⠀⠀⠀⢰⣇⠀⠀⠀⠀⠀⠀⠠⢄⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠹⣦⠀⠀⠙⠳⠦⢴⣿⣿⡷⠂ ⠀⠀⠀⠀⠀⡟⢀⡇⠀⠀⠀⠀⠀⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⢀⣠⠴⠒⠊⢉⣉⣤⣤⣤⣤⣤⣀⣈⠘⣷⡄⠀⠀⠀⣠⠞⢉⣤⠞ ⠀⠀⠀⠀⢸⠀⣼⡇⠀⠀⠀⠀⠀⣿⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⢉⣠⣴⡾⠿⢓⣉⣁⣀⣀⣀⣠⣄⣌⣙⠻⣯⣦⠶⠋⣁⡴⣋⣭⡾ ⠀⠀⠀⠀⢸⣿⣿⠀⠀⠸⠀⠀⠀⡿⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⣀⣠⠴⠶⠊⢉⣁⣻⡿⠋⠁⠀⠀⠀⠈⠁⠀⠈⠉⠈⠀⣼⣿⣿⣏⣤⡶⣿⣽⣿⣟⢉⡀ ⠀⠀⠀⠀⡾⣿⣿⠀⠀⠀⠀⠀⢰⢇⣼⣧⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⣀⣤⠴⠛⣉⣤⠴⣚⡯⠅⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣦⡴⠾⠿⠛⣿⠛⣿⣘⣿ ⠀⠀⠀⠀⠓⣿⣿⣰⡆⠀⠀⠀⣿⠘⣿⡏⠀⠀⠀⠀⠀⠀⠀⢸⡇⢀⡤⠞⢉⣤⣶⢟⣋⣵⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣟⠁⠰⠀⢀⣴⡟⠀⣿⣿⡏ ⠀⠀⠀⠀⠀⠙⣿⣯⡙⠒⢦⣼⣿⡾⠛⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠉⣤⣾⢛⣽⣿⢿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⣉⢠⣶⣶⣿⠿⠶⠖⠛⠋⠁ ⠀⠀⠀⠀⠀⠐⣿⣯⡛⠷⣦⣼⣍⠙⠲⠦⠤⣀⣀⣀⣀⣀⣀⣹⣷⠟⣿⣿⣿⣿⣿⠋⠀⣴⡿⢳⠀⠀⠀⠀⠀⣴⡯⠹⡆⠀⠀⠀⠀⠀⠀⢀⡾⠿⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣷⡟⠲⠮⢹⠻⠿⣷⣶⣤⣤⣀⣀⣀⣀⣀⣉⣷⣿⣿⡿⣽⣿⣿⠀⠀⡟⠉⢹⡇⠀⠀⠀⢠⠿⠦⢭⡇⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠛⠛⠋⠛⠉⠀⠁⣿⡟⣿⠀⢸⡇⠀⠸⠧⠤⢄⣀⡸⠀⠀⢰⠃⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢻⡴⠛⠁⠀⠀⠀⠀⠀⠀⠁⠀⠀⠻⠦⣄⡀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⡇⡿⠀⠠⣴⣶⡆⠀⠀⠀⠀⣴⣖⣂⠀⠀⠈⠙⠲⣤⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⢠⣤⡀⠀⠀⠀⠀⠀⣴⣶⡄⠀⠀⠀⠀⡾⠀⡇⠀⠀⠉⠛⠀⠀⢤⣀⠀⠛⡟⠛⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⡼⠉⣽⠀⠀⠀⠀⠀⣿⣀⣷⠀⠀⠀⢨⡇⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡷⣤⣀⠀⡟⠛⢻⡆⠀⠀⠀⠀⡏⠀⠹⡄⢀⣠⠾⡅⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⠀⠉⠛⠃⠀⠸⢧⣤⣄⣠⣤⠧⠀⠀⠓⠋⠁⢰⠃⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⣀⣤⠄⠀⠀⠀⠀⣠⣤⣠⠀⠀⠀⢸⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⢿⠟⠋⠀⣀⣀⠀⠟⠟⠉⠀⠀⠀⢸⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠈⠁⠉⠀⠀⠀⠀⠀⠀⢀⡟⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢀⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠐⢞⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠐⡀⠀⠀⠀⣀⠠⠐⣒⣤⢼⣿⣿⣿⠶⢶⣶⣦⡀⠀⠀⠀⠀⡔⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠔⠈⢀⠴⠋⠁⠀⠀⠉⠁⠀⢀⠠⠈⠝⠋⠓⠦⣄⠘⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⢅⣀⠔⠁⠠⠀⠀⡌⠀⠀⠀⢆⠀⠙⠄⢸⡀⠀⠀⡈⠳⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡌⠀⠀⠇⠀⢰⠀⠀⠀⠀⠀⠑⡤⢨⠊⣧⠀⠀⠘⡄⠩⢆⠀⠘ ⡀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠐⠂⠉⠁⡇⠀⠑⡤⢷⢳⢧⢄⠀⠰⡀⢩⡆⠀ ⠑⣄⠀⠀⢠⢼⠀⠀⠀⠂⡄⠀⠀⢰⠀⢠⠀⠀⠀⠑⢠⠮⡘⡀⢠⠀⠇⡀⡼⠀ ⠀⡇⠉⠐⠒⠚⡀⠄⠸⢠⠁⡖⠀⡜⢀⠆⠀⠀⠀⠀⢸⡄⠔⢇⠈⠀⢸⡇⠁⢰ ⢀⡇⠀⠀⠀⠀⣷⠀⠁⠹⣾⣷⣾⣷⣿⠄⠀⠀⠀⠀⣐⣒⣤⣸⡀⡇⢸⠇⠀⣸ ⢏⡀⠀⠠⣒⡎⣺⠀⠀⠀⡇⢿⠛⢻⡏⠀⠀⠀⠀⠀⣿⣿⣿⣿⡻⢳⡾⠴⠃⢈ ⠈⡿⠁⠀⠀⣃⢻⠀⠀⠀⡇⠀⠛⠉⠀⠀⠀⠀⠀⠀⠘⠤⠞⠃⢀⠋⣿⠀⠀⢸ ⣼⠁⢰⠁⠀⡇⢹⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⣿⠀⠀⢸ ⠉⢆⠈⢆⠀⡇⢸⢂⠀⣸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠌⡂⡏⠀⡀⣿ ⠀⠀⠣⢈⠢⢹⢆⠎⢀⡏⠈⠒⠠⠀⣀⠀⠀⠀⢀⣀⣀⢤⢲⠇⢠⢁⠇⢰⡙⢸ ⠀⠀⠀⣴⣷⢪⡞⢠⠞⠣⢄⠀⠀⠀⠈⡏⠉⠁⠀⢀⣝⡾⢋⢔⢕⡟⢠⡿⠁⢸ ⠀⠀⢸⣿⣿⠿⠴⠋⠀⠀⠑⠪⢤⣒⠒⠓⢂⣒⠩⠔⠉⢲⣶⣧⠼⠔⠋⠀⡀⢹
⠐⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⡆ ⠀⡆⠀⢙⢦⣄⠀⠀⠀⠀⠀⠀⠀⢀⣴⡞⡍⠀⡆ ⠀⡇⠀⢸⣾⣿⣷⣶⣶⣶⣶⣶⣴⣿⣿⣿⠃⠀⡇ ⢀⢧⡀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣊⣠⡇ ⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡟ ⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃ ⠀⠀⣿⣿⣿⡿⡏⢹⢹⣿⣿⡿⢻⠉⣿⣿⣿⣿⠀ ⠀⡼⢿⢿⣿⣧⣥⣤⡄⠻⣿⢁⣬⣤⣼⡿⠛⡿⢆ ⠀⠀⢨⢆⡻⡏⠘⠿⠁⠀⠈⠈⠿⠛⣿⣃⢾⠀⠀ ⠀⠀⠀⠀⠛⣿⠀⠀⠀⠀⠀⠀⠀⢀⣟⡇⠀⠀⠀ ⠀⠀⣴⣾⣿⣿⢫⡂⢄⣈⣁⡠⢲⢻⡻⢿⣷⣦⡀ ⠀⠀⡿⠉⠀⠈⣧⢣⠂⠇⢸⠀⣘⣯⠀⠀⠈⣿⠇ ⠀⠀⣿⡐⠒⢥⣽⣿⠈⢿⡿⠖⣼⣷⡒⠤⢐⣿⡆ ⠀⢠⣿⣷⣴⣿⡛⢿⣆⣸⣿⢠⡿⣻⣿⣶⣿⣿⡁ ⠀⢰⣿⣿⣿⣿⣿⣷⣽⣿⣿⣫⣾⣿⣿⣿⣿⣿⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣏⢉⣿⣄⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⠿⣿⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡔⣹⣿⣤⣿⣿⣧⣤⡿⣹⣿⡇⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣯⢹⣷⣼⣿⣶⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡸⢠⣿⣿⣿⣿⢙⣿⣿⣧⡟⣿⣇⣿⣿⣿⣿⣿⡟⣿⠀⠈⣻⣿⣿⡟⢻⣿⣿⣿⣿⣿⣿⣿⡿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⣿⣏⣻⣿⣿⣭⣿⣿⣿⡀⠀⠀⢻⣿⣿⣾⣿⡟⢿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠤⢀⡀⠹⣿⣿⣿⣤⣾⣿⠁⢸⣿⠛⣿⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⠖⠊⢹⣿⣿⠿⣿⣿⡇⠈⢿⣿⡇⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣷⣿⣿⡆⠁⣿⢧⣄⣀⠀⠀⠀ ⠀⠀⠀⠀⣿⠻⣿⣿⣿⣿⣿⡟⠀⣀⠤⢾⡇⣧⠀⣿⣿⡁⠀⣼⣿⣡⣶⣾⣭⣅⣠⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⢉⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⡏⠀⣿⣿⣿⣿⡿⢡⣼⣿⣿⣿⣷⡿⢠⣿⠁⡇⣰⠃⠟⣹⣿⣿⣿⡿⠋⣿⣿⣿⣿⡿⣯⣿⣿⣿⣿⡿⣿⣦⡀⠀⠀⠀ ⠀⠀⠀⠸⣧⣸⣿⣿⣿⣿⣿⢯⣩⣿⣟⣭⠟⣷⠞⠁⠠⠟⠁⠀⠀⠀⠉⠓⠋⠁⠀⣸⣿⣿⣿⢙⣼⣿⣿⣿⣿⣿⣮⣳⠯⢶⡤⠀ ⠀⠀⣀⣠⢿⣿⣿⣿⣿⣿⢩⠞⢯⠏⠀⢀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣇⡾⠘⣿⣿⣿⣿⣏⠛⠛⠓⠉⠀⠀ ⠀⠀⠉⠉⣉⣽⣿⣿⣿⣿⡇⢰⠉⣀⡠⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⣿⡈⠛⢯⣿⠀⢻⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣧⡘⠁⡠⠜⠁⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣶⠈⢿⠀⢹⣿⣿⣿⢹⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣿⣿⣿⡟⢿⣿⣿⡿⣶⣷⣤⣾⣄⡀⠀⠈⠉⠁⠀⠀⠁⠀⠀⣼⣿⣿⣿⡟⠋⠁⢀⡼⠃⣸⣿⣿⣿⠈⣿⡆⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣌⠻⣿⣧⠀⠀⠉⠛⠿⣿⣦⡀⠀⠀⠀⠀⠀⠀⣸⣿⠃⣿⢻⡇⠀⡠⠋⢀⡜⢹⠃⣿⣿⣀⣿⡇⠀⠀⠀⠀ ⠀⠀⢸⡟⢿⣿⣿⢿⣿⣷⣝⢿⣷⡀⠀⠀⠀⠈⢻⣿⣆⠀⠀⢀⣀⣴⣿⡇⠀⣿⢸⣧⠀⠀⠰⠋⣠⢼⣿⠟⢻⣿⣿⣷⡀⠀⠀⠀ ⠀⠀⣿⡇⣸⣿⣿⣮⠻⣿⣿⣷⣮⣍⡉⠀⠀⣠⣴⣿⣿⡟⠋⢉⣿⠛⣿⠉⡆⢸⣸⣯⠣⣤⣴⣾⣿⣿⣃⣤⣾⣿⣿⠇⢹⡀⠀⠀ ⠀⠀⣿⠀⢷⣿⣿⣿⣧⣬⠛⢉⣿⣿⠉⢲⣾⣿⣿⣿⣿⡇⠀⣾⠃⠀⡿⡆⣧⢀⣿⣿⣿⠁⠹⣿⣿⣿⣿⣿⣿⢿⡟⠀⠀⡇⠀⠀ ⠀⠀⣿⡇⠈⢿⠛⢿⣟⠉⣿⣿⣿⣿⣡⣿⣿⣿⣿⣿⣿⡇⢸⣿⠀⠀⣇⢹⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⠿⣵⣿⣷⠀⢠⡇⠀⠀ ⠀⠀⣿⡻⣄⠸⢧⢴⣿⣷⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⡀⠴⠾⠀⢻⣿⣿⣿⣿⣿⣯⡉⠉⠻⣿⣾⣿⡟⢨⣷⡿⠁⠀⠀ ⠀⠀⠹⡝⢿⣿⣦⣤⣶⣿⣿⠟⠙⢡⣿⣿⣿⣿⣿⣿⠋⠀⠸⣿⣷⡄⠀⠀⠀⠻⣿⣿⣿⣿⣿⣷⣆⣸⡛⣛⣦⣀⣸⣿⡅⠀⠀⠀ ⠀⠀⠀⢙⣾⣿⡿⠿⣿⣿⢡⣐⣀⣾⣿⣿⣿⣿⣿⣿⠐⡶⣤⣿⣿⣿⣿⡂⠀⠀⠙⣿⣿⣿⣿⣿⣿⣯⠉⠹⢧⡞⢣⢻⣷⡀⠀⠀ ⠀⠀⣰⡿⢡⣿⠿⣟⣻⡟⠚⠛⣿⣿⣿⣿⠛⣿⣿⣿⣷⣖⠚⠃⠛⣿⣿⣿⣦⡀⠀⠪⢿⣿⣿⣿⣿⣿⣧⠀⠈⡗⠻⡄⣿⣧⡀⠀ ⠀⣰⡟⢀⣏⠟⢫⡁⠀⢙⠶⠦⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣦⡀⠀⠈⠛⣿⢿⣿⣆⠀⠀⠹⣿⣿⣿⣿⣿⡴⢀⡇⠀⢹⣿⡏⣷⠀ ⢀⣿⡇⣸⡁⠀⣾⡄⠼⡏⠀⢸⣿⣿⣿⢿⠀⠸⣿⣿⣿⠽⣿⡻⣖⠚⠓⢙⣏⠙⠙⢷⣀⠀⠘⣿⣿⣿⣿⡏⢹⣿⣿⣿⣟⠁⢻⡇
⠀⠀⠀⠀⣠⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠤⢔⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡜⠁⠀⠀⠀⡀⢀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⡀⠀⠙⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡜⠁⡎⠀⠀⢸⡀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠈⠙⡒⠒⠢⠤⠤⢤⣀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡆⠀⡇⠀⠀⠀⢧⠘⡇⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⠁⠀⡇⠀⠀⠀⠈⢦⣳⡀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⣧⠀⣆⠀⠀⠀⠙⢿⣄⡀⠀⢸⠹⡄⠀⡠⠔⠂⢸⡀⠀⠀⠀⠀⠀⣇⠀⣀⡠⠔⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⡎⠘⢦⣿⡀⣿⡄⠀⠀⠀⠀⡀⠈⠀⢸⠀⠘⠎⠀⠀⡀⠛⡇⠀⠀⠀⠀⠀⢹⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡧⣀⣀⣭⣧⢸⣧⠀⠀⠀⠀⣧⠀⠀⢻⠈⠉⠒⠶⣎⠀⠀⡇⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⡇⣸⠋⠀⠈⢆⣿⢧⡀⠀⠀⢻⣆⠀⢸⡀⢀⡀⣀⡈⠳⣄⡇⠀⠀⠀⠀⠀⢸⠀⠀⠀⢀⣠⡔⠋⠀⠀ ⠀⠀⠀⢸⡿⠃⢀⣤⣖⣞⣿⣦⠳⡄⠀⠈⣿⡄⣈⣿⣿⣿⣿⣶⣿⣬⣳⠀⠀⠀⠀⡀⢸⠀⠀⠉⠁⠀⡇⠀⠀⠀ ⠀⠀⢀⢸⣧⣾⣿⡿⢿⣿⣷⠀⠁⠘⠒⠒⠾⡟⠿⠉⢿⣿⣿⣿⣿⣿⣿⣿⡦⠀⢀⠇⢸⣄⠀⠀⠀⠀⡇⠀⠀⠀ ⠀⠀⠀⣿⣿⣇⢸⣾⢿⣿⣹⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⣋⠙⠫⣡⣏⣻⠉⠀⠀⢸⠀⢸⠉⣆⠀⠀⢰⠇⠀⠀⠀ ⠀⠀⠀⢸⢷⡀⠠⠅⠤⠴⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠃⢘⡉⠁⣿⠀⠀⢀⡎⠀⢸⠀⢸⠄⠀⡼⠀⠀⠀⠀ ⠸⠀⠀⢸⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠂⡿⠀⠀⢺⠃⠀⣸⢄⡿⠀⠈⠁⠀⠀⠀⠀ ⠀⠀⠀⢸⡄⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡇⠀⢀⡟⠀⢘⣿⡛⠀⠀⡀⠀⢀⡄⠀⠀ ⠀⠀⠀⢸⡇⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⢀⡞⠀⠀⠀⡇⠀⠀⠀⢳⠀⣸⠇⠀⠀ ⠀⠀⠀⠈⡇⠀⢰⡈⠓⠦⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡟⠀⠋⠀⠀⠀⣸⠁⠀⣰⠀⢸⣠⣿⢀⠆⠀ ⠀⠀⠀⠀⣧⠀⠀⡇⠀⠀⠀⠈⠙⠒⠦⠤⣤⡶⠒⠉⠁⠀⠀⠀⡼⠁⠀⠀⠀⢀⢀⡇⢀⣤⢿⡆⣸⣿⠿⠋⠀⠀ ⠀⠀⠀⠀⢸⡀⠀⣧⠀⠀⠀⠀⢀⣠⡴⢋⣵⠏⠀⠀⠀⠀⣠⣼⣥⠀⠀⠀⣠⢾⣼⠤⣸⡛⠂⠛⠛⠛⢀⣀⠀⠀ ⠀⢦⠀⠀⠀⣇⢸⡇⠁⣤⡴⢋⡽⢋⡔⠉⠀⠀⠀⠀⠀⠀⠀⡰⠃⢀⡠⠞⠃⠸⠃⣠⠞⢳⣄⠀⢀⡠⠄⠀⠙⢆ ⠀⠈⢢⠀⠀⠈⢦⡁⣨⠋⣠⠊⢠⠿⠒⠉⠒⠤⡀⠀⣠⣤⠾⡷⠚⠉⠀⠀⠀⡰⠊⢀⡴⠁⠈⠙⠫⡀⠀⠀⠀⠀ ⠀⠀⠀⢉⡵⠦⠤⢉⣧⣴⠁⢀⣯⠴⠒⠒⢤⣀⠈⠢⡄⠉⠻⣄⠀⠀⠀⡴⠋⠀⣰⠟⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀ ⠀⠀⢠⠊⠀⠀⢷⡄⠀⠀⠀⢸⠁⠀⠀⠀⠀⠈⠲⣾⠓⠚⠃⠈⠣⣀⠜⠀⢀⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠁⠀⠀⠀⠄⡙⠊⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠈⠓⠰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢀⣴⣆⠀⠀⣴⣶⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣤⣄⣐⡀⠀⠀⠀⠈⠁⠀⠒⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣩⠝⢸⡭ ⢀⣿⣡⣿⠀⣾⣣⣼⡆⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⢠⣆⢦ ⣾⠋⠉⠹⢿⠟⣩⡙⢷⣤⠀⠀⢸⠀⠀⠀⠀⠀⣀⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠁⠟⠹⢸ ⠇⠞⢻⠛⠛⢀⡟⠀⢸⡟⠀⠀⡿⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⠀⠀⣸⡃⢀⣚⠁⠀⢸⣥⢞⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⠀⠀⠛⠃⠈⠛⠁⢀⣟⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⡿⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠻⣿⣆⠙⢮⣧⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣳⢯⡟⣿⡟⣿⡿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡘⢿⣧⣸⣿⣷⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟⠉⢀⣿⠁⣿⢿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⠃⠀⣸⢻⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⢡⡀⣼⠃⢰⣿⣿⣿⣿⣿⣿⢸⢸⣿⣿⣿⣿⣿⡏⣼⣿⡟⢀⡼⢱⠸⣿⣿⣿⡽⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣿⣿⣿⣿⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢣⡾⣣⡟⠁⣿⣿⣿⣿⢻⣿⣿⢸⣾⣿⣿⣿⣿⣿⠇⣿⣿⢀⣮⣴⡾⡟⢻⣿⣿⢿⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣿⣷⣼⣿⣿⣿⡿⢸⣿⢹⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⡟⠋⠀⠀⠀⠀⠉⠙⠋⠻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⢹⣿⣿⣿⣿⡇⢸⣟⠸⣿⣿⣿⣿⣿⣿⢧⢀⣴⣿⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡿⠓⢌⣿⠀⠻⠻⠿⠿⠿⠿⠈⠉⠀⣧⠀⠀⢿⣹⡆⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠞⠛⠉⠓⢶⡆⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠈⠳⠇⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡿⣭⡿⠋⠁⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧ ⠀⠀⠀⠀⠀⠀⢀⣀⣴⣾⣿⣿⣿⣷⡈⣇⠀⠀⠀⠀⠀⠘⡿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠴⠖⠋⠁⠀⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢀⣠⣴⣾⣿⣏⣼⣿⣿⣿⣿⣿⣷⡼⣆⠀⠀⠀⠀⠀⠘⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⣰⣇⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿ ⠀⠀⠀⣼⣿⣿⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣟⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠖⠋⠁⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏ ⠀⢀⣴⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡜⢧⡀⠀⠀⣠⡴⠋⠀⠀⠑⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⣀⣤⣾⡿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠀⢺⣿⣿⡿⠃⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠙⠃⠉⠁⠀⠀⠀⠀⠀⠀⠀⣠⠖⠉⠀⢀⣠⣤⠶⠒⠋⢉⡿⢹⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀ ⢀⣿⣿⣿⠃⣼⡿⠿⠛⠉⠉⠉⠉⠉⠉⠻⣿⣿⣷⠀⠀⠀⠀⠀⠀⢀⠖⠒⠋⢉⣠⠴⡶⠏⠉⠀⠀⠀⠀⢠⠏⠀⢸⣿⣿⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀ ⠚⣿⠟⣿⢰⠋⠀⠀⠀⠀⠀⠀⠀⠀⢶⡄⣿⣿⣿⣇⠀⠀⠀⡀⠀⣼⣆⡠⢞⣡⠤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀ ⣤⠋⣴⣁⢸⡦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣆⠀⠀⣇⡀⢸⠈⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡿⢁⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀ ⢡⠎⠁⠈⠙⢿⡀⠀⠀⠀⢀⣄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣆⠀⠈⠁⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠟⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢋⡴⠛⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠀⠀⠀⠀⠙⢦⡀⠀⠈⠉⠁⠀⠀⠀⠀⣿⣿⡿⣿⣿⣧⣀⠀⠀⠈⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⠋⠀⣀⣼⣿⣿⠟⣡⣿⡿⡿⠛⠉⠀⣰⠟⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠲⠤⣄⣀⣛⠀⠀⢸⣿⣷⠸⣿⣿⣿⣿⣶⣤⣀⡈⠉⠓⠲⠶⠶⠶⠶⠚⠉⠁⣀⡴⢋⡽⠛⠉⠀⠈⢀⠽⠊⠀⠀⢀⡾⠁⢠⡆⠀⠀⠀⢀⡄⡈⠀⠀ ⠀⠀⠀⢀⠀⠀⢀⡀⠀⠀⠀⠉⠀⠀⠀⠉⠛⠺⠿⣿⡇⠙⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣀⠀⣀⣠⣴⡿⠋⠀⠀⠀⠀⣀⡤⠚⠁⠀⠀⠀⣠⠟⠀⠀⣼⠁⣀⣝⣷⣽⣿⡇⠀⠀ ⠀⠀⠀⠁⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣄⣈⣻⢿⣿⣿⣯⠙⣛⡛⠻⠿⠿⠯⢩⡿⡟⠁⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⣴⠋⠀⠀⢠⡇⣺⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢻⡏⠛⠂⠉⠈⠉⠉⠙⣋⠉⠁⠀⢀⣤⠖⠋⠀⡇⠀⠀⢀⡴⠃⠀⠀⠀⠀⠀⠀⣸⠁⢀⡠⣴⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢠ ⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠖⠉⠰⣿⣧⣄⡀⣀⡀⠀⣠⠞⠁⢀⣀⣀⣾⡝⢦⠀⢰⠃⢀⡴⠊⠀⣀⠤⠴⠶⠶⠶⠖⠋⠉⢹⣙⣟⣿⣿⣿⣿⣿⣿⣿⣿⡇⠠⣮ ⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡰⠋⡡⠖⢀⣀⢻⣿⣿⣿⣿⣿⣷⡄⡛⣷⣦⣴⣶⣮⣅⡸⢇⠘⠒⠛⡀⢘⣭⣶⣾⣶⣶⣶⣤⣿⣖⠀⣼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡤⣿ ⠉⠀⠀⠀⢀⠀⠀⠀⠀⢀⣀⠜⢉⡀⠀⠀⠀⠀⠐⢺⣿⣿⣿⡿⠋⠛⠃⢣⣿⣿⣿⣿⣿⣿⣿⣷⣤⢤⢤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣰⣿⢷⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣌⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣻⠀⠀⠐⣢⡤⠄⠒⠂⢹⡄⣠⡴⠛⠉⠉⢫⠉⢳⡀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢷⡶⠦⣄⠀⠢⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠛⢻⣠⡴⠛⠁⠀⠀⠀⠒⣠⣿⣧⣀⣀⣤⣄⡈⡄⣀⣳⡄⠤⣔⣒⣲⣾⣍⣵⣯⣵⣖⣒⣒⢦⡴⣆⡀⡰⠁⠜⠀⠀⠀⠑⠀⠆⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⢶⣶⠟⠀⠀⢠⡞⠁⠀⣿⣿⣤⣟⣮⣻⢯⠐⢾⠏⠙⠁⠘⡄⠀⠼⠀⠈⠃⠈⢦⠈⣏⠉⠶⠻⣷⢖⡄⣀⠀⠀⡀⠈⠀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⠿⠿⢵⣿⢃⣾⠇⢀⣀⣠⡿⠽⠳⢤⣿⣿⣿⠟⣿⣿⣼⠀⠉⠀⠀⠀⠀⢱⡀⠀⠀⠀⠀⠀⠈⣇⠸⡄⠀⠀⠈⢧⢍⠳⠿⡂⢀⠀⠀⠀⠄⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⢸⣏⠙⠿⠞⣻⡿⢟⣻⠴⠛⢻⣿⣿⡻⣦⣿⢞⣁⠀⢠⣤⣶⣾⣏⠛⢀⣀⣻⣿⣿⣿⣿⣜⣀⠹⣤⣤⣤⠬⠯⢦⡀⠘⢿⣷⡒⠂⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⢠⣾⠹⣆⠀⠀⠀⣴⠉⠙⡄⢀⣾⣿⣽⢩⣿⣿⣯⣢⣤⡴⠟⠛⠉⠉⠙⢉⣿⠋⠀⠀⠀⠀⠉⠙⠛⠛⠛⠻⣿⠶⣾⣿⣷⡀⢻⡽⣆⠀⠀⠀⠀⠀ ⣀⠀⣀⣿⠿⠑⢨⣿⣶⣤⣄⣼⣧⠀⠻⣆⠀⢰⠇⣀⣀⠙⢺⣾⣏⡿⠿⣯⣄⣽⣿⡇⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠉⠻⣶⣿⡸⣻⣿⣂⡀⠀ ⣿⣿⡏⠀⠀⢀⣿⡟⠈⢻⣿⣾⣿⡀⠀⠹⣷⡿⠞⠉⢨⣿⠇⡿⠚⠓⢶⠦⢴⣧⣽⣅⣉⣉⣛⣒⣲⣶⣾⡇⣷⠀⠀⠀⢠⣀⣀⣀⡀⣀⣠⡜⣿⣀⣀⣀⣀⣷⠨⠏⢳⡝⣷⠀⠀ ⣿⠁⠙⢤⣀⣿⠏⠀⠀⢸⣿⣿⢻⣇⠀⠀⢸⡇⠀⠀⣼⣿⢸⠃⠀⠀⠀⠀⣼⡇⣿⠀⠀⠀⠀⠀⠈⣉⣿⡟⣿⠀⠀⠀⠐⠒⠒⠒⠲⡤⢸⡇⣿⠭⢥⣤⣀⣸⣄⣀⣀⣻⡽⠀⠀ ⣧⣀⠀⠀⣻⣯⡀⠀⠀⣾⣿⣿⠘⣿⣆⠀⣿⠁⠀⠀⡟⠙⠉⠀⠀⠀⠀⢠⣿⣷⡇⠀⢰⡀⠀⠀⠀⣿⣿⡄⡏⡄⠀⠀⠀⠀⠀⠀⠀⢀⢸⡇⣿⠀⠘⡇⠀⢻⣿⠉⠙⣿⣧⠀⠀ ⠀⠉⠛⣶⣧⣌⡙⠶⣴⣿⣿⣿⡇⢹⣿⣾⡏⠀⠀⢠⡇⠀⠀⠀⠀⠀⢀⣼⣿⣿⡷⠶⣾⣧⣤⣤⣰⣏⣇⣿⣧⡁⠀⠀⣿⠀⠀⠀⠀⢸⢸⡇⣿⠀⠀⡇⠀⢸⣿⠀⠀⢸⣿⡀⠀ ⠀⠀⣼⠋⠁⠀⠉⠙⣿⣿⣿⣿⣿⠈⣿⣿⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⡀⢿⣿⣿⠁⠀⢸⣤⡄⠈⢹⣿⡷⣿⢸⡇⠀⠀⣿⠀⠀⠀⢀⣿⣼⣷⣿⠶⢶⡷⣤⣸⡟⠀⠀⠀⣿⡇⠀ ⡇⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⡇⢙⣿⣆⢀⠀⢸⡇⠀⠀⠀⠀⠀⠀⣾⡟⣿⡄⠀⣾⢧⡇⠀⢸⣿⡇⣿⢸⣇⠀⠀⣯⠀⠀⠀⣼⣿⡟⡿⣿⠀⣼⣿⡧⣿⡇⠀⠀⠀⣿⣷⣼ ⣦⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣼⣿⣿⢸⡀⠈⡇⠀⠀⠀⠀⠈⢀⡾⠷⢸⠿⠤⣼⣼⣧⣀⣾⣿⡇⣿⢸⣧⠀⢠⣿⠀⠀⢀⣿⣿⣻⣧⣟⢰⣿⣼⣆⣿⠃⠀⠀⣄⣿⣿⣿ ⠏⠀⠀⠂⢀⠀⡀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⡇⢸⡇⠀⠀⠀⢀⡆⠈⡇⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠃⠛⠸⠹⢧⣬⣿⣤⣤⣼⢻⣯⣿⣸⠥⠿⠿⢿⣿⡟⠀⠀⠀⣿⣿⣾⣿ ⠀⠀⠫⠃⢈⡖⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣷⡎⣷⠀⠀⠀⠀⣷⢀⣷⢤⣀⣠⣀⡀⠀⠠⢤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⣸⡏⠐⠀⠀⠀⣿⣿⣷⣿ ⠀⠀⠐⠊⠚⠁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣇⣿⠀⠀⠉⠉⣿⣿⣿⡿⠿⠛⠓⠻⠿⠿⣶⣖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣲⣷⣖⣢⣿⠃⠀⠀⠀⢸⣿⣿⣿⣼ ⠀⠀⠀⠀⠀⠀⣿⢿⣿⣿⣿⣿⣿⡟⠈⢿⡇⣸⣿⣿⣽⡆⠀⠀⠀⣿⡏⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠙⢋⣿⡏⣰⠇⠀⠀⢸⣟⣿⣿⣿ ⠀⠀⠀⠀⠀⣼⣏⣸⣿⣿⣿⣿⠁⣿⠀⢸⣿⣿⣿⣿⣿⣇⠀⠀⠀⢸⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣱⡟⣠⣤⠴⠿⠿⠯⠿⠿ ⠀⠀⠀⠀⢠⣿⠋⣽⣿⣿⣿⣿⢠⣿⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠈⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⡿⠛⠉⠁⠀⠠⠀⠐⠂⠀ ⠀⠀⠀⠀⣾⠏⣨⣿⣿⣿⣿⣿⠀⣿⠀⢸⣿⣿⣿⣿⣿⣿⡆⠀⣿⢴⣿⡟⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⣿⠁⢹⣿⣿⣿⣿⡟⣸⣿⠀⢸⡇⣿⣿⣿⣿⣿⣷⠀⣿⠾⣿⣧⠈⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⢾⡿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣿⠋⠀⣿⣿⣿⣿⣿⡟⣿⣿⠀⢸⠂⢻⣿⣿⣿⣿⣿⣧⣿⡀⣿⣿⡄⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠋⠁⠰⢋⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⠀⣼⢋⡄⢠⣿⣿⣿⣿⣿⣧⣿⣿⠀⢸⠀⠸⣿⣿⣿⣿⣿⣿⣿⣧⢸⣿⡟⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣸⡟⠈⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⢸⣿⣇⠀⠉⠲⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⡟⠁⢠⢰⣿⣿⣿⣿⣿⣿⣿⣽⣿⠀⢸⡀⠀⠀⢻⣿⣿⣿⣿⣿⣿⡏⢿⣿⣦⣄⡀⠀⠉⠳⢦⣄⡀⠀⠀⠀⢀⣠⣴⢾⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣶⣿ ⡿⠁⠀⠘⣾⣿⣿⣿⣿⣿⣿⣯⣭⣿⣀⡨⠧⠤⣄⣈⣻⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣾⠋⠓⣾⣿⣯⡾⠿⠿⢿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⢰⡟⠋⠁⠀⣿⢿⣄ ⡇⠀⢠⢢⣿⣿⣿⣿⣿⣿⠁⠀⡼⠃⠀⠀⠀⠀⠀⠀⠁⢽⠽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⣿⣿⣾⣛⡒⠂⠀⠀⠀⠒⠐⢿⣿⣿⠁⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢸⡆⢻ ⠀⠀⢀⣿⣿⣿⣿⣿⣿⡿⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣿⡙⢿⣿⣿⣿⡿⣿⣽⡛⠛⣿⠿⠟⣋⢿⡍⠉⢿⣷⡒⠒⡒⣖⠛⠛⡏⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠘⡇⠤ ⠀⠀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣵⡀⠙⢿⣿⣷⠿⣿⣿⣶⣌⠲⣶⣿⣾⣇⣠⡤⢿⣷⠀⠘⣞⡆⣸⠁⠀⠀⠀⠀⠀⠀⢠⣿⡆⠀⠀⠀⠀⢷⠀ ⠀⣸⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀⠀⣿⣿⠆⠈⠀⠉⠻⣿⣷⠶⠦⣽⡆⠀⠀⢷⢧⠀⠸⣾⠃⠀⠀⠀⠀⠀⠀⠀⢸⣿⣇⠀⠀⠀⠀⠸⡄ ⢠⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣂⠘⡿⡀⠀⠀⠀⠀⣿⣁⠀⠀⣠⡇⠀⠀⠈⡟⡆⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⢸⢿⣿⡀⠀⠀⠀⠀⡟ ⣾⣿⣿⣿⣿⣿⣿⣿⣁⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢛⣦⣱⣷⠀⠀⠀⠀⠈⣻⣿⠛⢿⡢⣀⡀⠀⢸⣾⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠘⢿⣇⠀⠀⠀⠀⢻
⠀⠀⠀⠀⢀⣴⣧⣽⣶⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⡐⣿⣽⣿⣥⣟⣿⢹⣿⣿⣿⡟⢿⣿⣿⣿⣟⣧⣿⣿⣆⠀⠀⠀⠀ ⠀⠀⢰⣸⣿⣿⣶⣿⠞⣸⣺⣿⣻⣿⣇⠀⢻⣿⣼⡿⣿⣿⣿⣿⡄⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣏⠠⣿⣿⣿⡟⢿⣿⠒⠠⢹⣿⣷⣾⣄⣿⠹⣧⡀⠀⠀ ⠀⠀⡟⣿⣿⣿⡟⣁⣴⣏⡅⣿⡇⠸⣯⣦⣤⣦⣿⣿⣿⣿⣿⣧⣰⡉⠁⠀ ⠀⠐⣇⣾⣿⣿⣜⣻⣟⡛⡵⠃⠷⠃⠁⠻⠽⠃⢻⣿⡟⣹⣿⣿⣿⡻⣢⡄ ⠠⠴⢿⣿⣿⣯⢚⠏⠀⠊⠀⠀⠀⠀⠀⠀⠀⢀⣾⢿⢷⠘⣿⣿⣯⠉⠉⠀ ⠀⢀⣽⣿⣿⣿⣜⠨⠙⡀⠀⢀⡀⠀⡀⠀⣠⣵⣿⡶⠙⡀⣿⣿⣹⡇⠀⠀ ⠀⣾⣿⣿⣞⢿⣏⠛⠻⢷⣤⡀⠀⠀⠀⢰⡟⡿⡏⢀⠌⡠⡟⣿⣿⡇⠀⠀ ⠀⣟⣿⣿⢿⣷⣟⠦⠀⠀⢙⣷⣄⠠⣴⣿⠄⡇⡷⡀⢊⣔⡿⢉⣿⣿⡄⠀ ⢰⡇⢾⣿⣧⢝⣻⣿⢑⣶⣿⣿⡇⣸⠃⡿⣲⣸⣷⣎⢻⣿⣿⣿⢿⠃⢸⠀ ⠈⡷⡈⣏⣽⣼⣿⣿⣾⣿⣿⣿⡇⣿⣀⠤⢹⣿⣿⣿⡟⠛⢿⣽⡟⣣⡞⠀ ⠀⠫⣻⣶⣶⡿⠋⢡⣿⣿⣿⡏⣀⢻⣷⡄⠀⠻⣿⣿⣿⣦⠯⢵⣢⢿⡄⠀ ⢀⡼⣽⣷⠺⡗⠛⣿⣿⠛⣿⣷⣕⠋⠻⣿⣦⡀⠸⢿⣿⣿⣧⠀⡓⢃⣿⡄ ⣼⢱⡊⢰⠠⠌⢹⣿⣿⠀⢿⣿⣻⡧⡤⠬⣯⠛⢆⡀⢻⣿⣿⡇⣧⣼⡟⢻
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣶⣶⣶⣿⣷⣶⣶⣦⣤⣀⡀⠀⢈⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⡈⣿⣿⡘⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡇⠸⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠂⠀⠀⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢿⣇⠀⢿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣷⣖⠀⠀⠀⠀⠀⣠⢈⠀⠀⠀ ⠀⠀⢀⠀⠀⠀⠀⠀⢸⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣸⡏⢢⣸⢿⣿⣿⣿⣿⢹⡟⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠠⠁⠀⠀⠀ ⣠⠜⠁⠀⢰⣶⣶⠶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠉⠉⠛⣿⣼⣛⠛⠉⣡⡞⠋⠛⢿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⢀ ⠅⣠⣖⠴⣻⣿⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⣷⠈⢿⠉⠀⠀⠸⢳⡇⠀⢸⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⣿⡷⣪⢽⣿⡾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⢻⣿⣿⣿⣿⣇⠀⠀⠀⢀⠀⢀⣲ ⣿⡵⠋⠀⢸⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⣦⣤⣤⠶⠊⠀⠀⠀⠀⠀⠀⠐⢚⢡⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠈⢿⣿ ⣿⠯⡖⠀⢸⣏⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠒⠈⠺⠾⠆⠀⠀⠀⠀⠀⠈⠀⠀⠀⢿⣿⣿⣿⣿⣿⡇⢰⣶⣦⡀⠀⠋ ⣗⡯⢀⡠⢼⣿⣯⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⡟⠃⣿⣻⣿⣽⣷⣦ ⣿⣿⡟⠂⠀⠉⠉⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠐⠒⠒⠒⠒⠒⠒⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⠁⠀⠉⠁⠀⠀⠉⠙ ⣻⠭⠔⠂⠀⠀⢀⠀⠘⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿⠽⠏⠀⠀⠀⠀⠀⠀⠀⠒ ⣿⣿⣶⣶⠇⠈⠀⠀⠀⠈⠀⠈⣿⡟⠋⠁⠀⠉⠙⠛⠿⠿⣷⠼⢦⣉⡒⠢⠤⣤⣤⣤⣾⣿⣿⣟⣙⡙⠉⠉⠣⡀⠀⠀⠀⠀⠀⠀⠀⡀ ⣿⣟⣛⡛⠋⠀⠀⠀⠀⠀⢠⠎⠀⠉⠲⣀⠔⠉⠉⠑⠢⠤⣈⠑⢤⡀⠀⠉⠒⠮⣿⣏⣙⣿⣓⣢⣄⠉⠒⢄⠀⠘⢦⠀⠀⠀⠀⠀⠐⠢ ⠞⠓⠂⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠉⠒⠜⢷⣯⣭⣭⣿⣯⣁⣹⣿⣿⣧⡙⠢⣄⠱⡄⠈⢇⣠⣰⣆⣀⡀⠈ ⠭⠭⠥⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⡿⣿⣿⣿⣧⠀⠈⠳⣜⣶⠸⡦⢰⣿⡿⠤⠨ ⣿⡭⠁⠀⠀⠀⠀⠀⠀⢏⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⠿⠀⠀⠻⡟⠿⢆⠀⠀⠈⠙⢦⣿⠭⠽⢿⠭⠩ ⣿⣓⡀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠰⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠈⠑⢤⡷⡀⠀⠈⠠⠙⢿⣻⣯⠥⠬ ⣿⣶⣭⠭⣺⣿⣷⣿⡇⠈⣿⡀⠀⠀⠀⠱⡀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡘⢄⠀⠀⠑⣄⠹⣄⣴⣿ ⡯⣝⡊⠉⢺⣿⠿⢾⡇⢠⣿⣧⡀⠀⠀⠀⠘⣿⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠘⡄⠀⠀⠈⠆⠘⣿⡿ ⣿⣗⠬⠀⢸⡇⠠⢼⣷⣇⡄⡈⠳⢄⠀⠀⠀⠘⡇⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⡆⢣⠀⠀⠀⠀⠀⣔⣊ ⠿⡛⢯⡒⢼⣇⠁⢺⡇⠈⠑⢦⡑⣦⡑⠢⠤⣘⣇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠏⠁⡃⢸⠀⠀⠀⠀⠀⢰⣒
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⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⠙⢞⢎⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⣤⣠⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⡠⠂⠀⠀⠀⠀⠀⠂⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠈⢣⡣⡳⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣄⡀⠀⠀⠀⠀⠀⠊⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡷⡄⠀⠀⠀⠀⠹⣕⠵⠄⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⡀⠀⠀⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠙⢌⠢⡀⠀⠀⠀⠈⢮⡀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡚⠀⠀⠀⢀⠄⢀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡏⠀⠀⠑⢝⠢⡀⠀⠀⠀⣡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠠ ⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠑⠅⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣄⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⡇⠑⠦⢀⣼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⣠⠴⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⣼⣟⣾⣯⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠣⣤⣿⣝⡿⣾⣿⣿⣿⣿⠇⢸⣿⣿⣿⣿⣿⣿⣿⢿⣿⡇⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣹⣿⠱⣷⣿⣿⣿⣟⠀⢸⣿⣿⣿⣿⣿⣿⣿⠸⣿⡇⠀⢀⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣤⡀⠀⠀⠀⠀⠀⣾⣿⣯⣏⣼⣿⣿⣿⣿⠏⢧⢸⣿⣿⣿⣿⣿⣿⣿⡆⢿⣧⣠⠞⠀⢻⣿⣷⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣷⢳⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⡇⠀⠀⠀⠀⠀⣿⣿⡿⣰⣿⣿⣿⣿⣿⠶⢦⣿⣿⣿⣿⣿⣿⣿⣿⣇⣸⢿⣤⠶⠞⠛⠛⣿⣿⣿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡌⡆⠀⠀⠀⠀⠀⠀⠀ ⠶⠋⠀⠀⠀⠀⠀⢸⣿⣿⣧⣿⣿⣿⣿⣿⣿⠀⠀⠈⠻⣟⢿⣿⣿⣿⣿⣟⣵⠟⠁⠀⠀⠀⠀⠀⠙⣿⣯⣿⣝⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⡿⣿⣿⡇⢳⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⠀⠀⢸⡟⣸⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⣤⡘⠆⠀⠉⠉⠁⢸⡏⠀⣤⡀⠀⠀⠀⠀⠀⢿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⠀⠀⠀⠀⠀⠀⠀ ⠞⠛⠀⢸⠃⠀⠀⣾⠁⣿⣽⣿⣿⣿⣿⣿⣷⡁⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠻⠇⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⠀⠀⠀⠀⠀⠀⠀ ⣀⣤⠀⣋⠀⠀⢠⣿⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡸⠀⠀⠀⠀⠀⠀⠀ ⠉⠀⠀⠁⠀⠀⢸⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠉⠛⠀⠀⠲⠤⠀⠀⠀⠀⠀⣠⠐⠖⠒⠚⠛⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢣⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⠀⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⡀⠀⠛⣷⠤⠤⠤⠤⠖⠒⠛⠛⠋⠉⣛⣦⣄⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⠀⢹⣿⣇⢿⣿⣿⣿⣿⣿⣿⣇⠀⠀⢫⠙⢶⣶⠢⢤⣤⣴⡶⠖⠛⠉⠀⠈⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠻⣿⠈⢿⣿⣿⣿⣿⣿⣿⣆⠀⠘⣄⠀⠐⠢⠖⠋⠁⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣻⠂⠀⠀⠈⠳⠈⠻⢿⣿⣿⣿⣿⣿⣿⣶⣝⣦⣼⠁⠀⠀⠀⠀⠀⠀⣀⡴⣫⣿⣿⣿⣿⡿⣟⡿⣫⡾⣿⣿⡿⠟⠋⠁⠀⣠⠟⠓⠒⠶⠖⠒⠒⠂⠀⠢⢀⠀ ⠀⠀⠀⠀⠀⠀⢰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⢿⡝⠻⢿⣿⣿⠿⣶⣭⣟⣓⠒⣚⣛⡯⠵⢿⣟⠛⠿⠛⠁⡼⠁⠀⣠⠞⠁⠀⠀⠀⠀⢀⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠟⠀⠀⠉⣹⡿⠃⢀⡴⠋⠈⠳⣶⣠⠞⠁⣠⠞⠁⠀⠀⠀⠀⠀⡰⠫⠤⠤⡤⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⢰⣿⠁⣠⣏⣈⣡⢶⡄⢽⢁⣤⠞⣡⣤⠀⠀⠀⠀⣠⠞⠁⠀⠀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠆⠀⣿⠇⢻⣿⣶⣶⣶⣝⣿⠉⢹⣵⣡⣴⣾⣆⠀⢀⠞⠁⠀⠀⣠⠞⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠀⠀⠀⠀⠀⣿⠀⠘⡄⢸⡏⠀⠈⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⡴⠋⠀⠀⠀⠐⠉⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠀⠀⠀⠀⠀⠀⠛⡄⠀⡇⢸⠁⠀⣰⣃⠀⢹⣿⣿⣿⣿⡟⢿⣿⢿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢃⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⣼⡾⠀⣰⠟⠁⠀⠀⠛⢿⣿⠋⢠⠊⠛⢷⣭⣛⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⣇⡎⠀⠀⠀⠀⠀⠀ ⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠋⠀⠀⠀⢠⠇⠀⠀⠀⠀⢹⠀⢸⣇⡴⠋⠀⠀⠀⠀⠀⠈⣇⠀⢸⡤⠂⠀⠻⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⣿⠁⠈⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠁⢀⠞⠁⠀⠀⠀⣠⠃⠀⠀⠀⠀⠀⠘⡆⢸⡿⠁⠀⠀⠀⠀⠀⠀⢰⠃⢠⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠈⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠞⠁⣠⠎⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⣸⣁⣼⠃⠀⠀⠀⠀⠀⠀⢀⠇⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⡇⡄⢀⠇⠀⠀⠀⠀ ⣀⠀⠀⠀⣀⣀⡀⠀⢀⡴⠁⠀⠀⡀⠀⠠⠃⠠⠀⠀⠀⠀⠀⠀⠁⣹⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⡈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣶⣾⣿⣶⣶⣦⣤⣨⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠄⠀⠀⠀⠀⠀⠀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣷⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⣬⣿⣼⣷⣄⠀⠀⠀⠠⠀⡠⠀ ⠀⠀⠀⠀⠀⡺⣿⣿⣿⣿⣿⣿⣿⣿⢸⢇⢹⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀ ⡠⠊⢀⣶⢶⣷⣿⣿⣿⣿⣿⣿⣿⠟⠈⢑⢯⣛⠛⢡⠓⠛⣿⣿⣇⠀⠀⠀⠀⠀ ⣵⡷⣹⣧⢼⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠈⠀⠁⠀⠈⠃⢀⢿⣿⣿⡆⠀⠀⠀⣠ ⡿⡉⠐⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡜⡶⣒⡌⠀⠀⠀⠌⠉⣿⣿⣿⣷⢀⣀⠈⠻ ⣷⣁⠴⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣇⠂⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡟⢸⡿⠷⣦ ⣇⠫⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣀⠀⠀⠀⠀⠀⣠⣾⣿⣿⠻⠁⠀⠀⠀⠠ ⣿⣷⠏⠀⠀⠀⢀⠽⢉⠀⠨⠉⡛⠳⡓⠨⠔⣲⣶⠾⣿⡍⠍⡈⠣⡀⠀⠀⠀⣀ ⣿⡿⠤⠀⠀⢀⠂⠀⠀⠆⠀⠀⠀⠉⠐⠱⣢⣤⣿⣍⣯⣿⡕⢌⡢⠘⡤⢶⣄⢀ ⡍⠁⠀⠀⠀⢸⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠈⠻⣿⡿⠙⢿⢷⡀⠈⠳⣹⣚⢿⠀ ⣇⣤⢄⣤⣠⠘⡄⠀⠈⠄⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠎⢄⠈⠪⠫⡛⣳ ⣿⢋⠚⡿⢿⢠⠿⡀⠀⠈⢧⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠄⠀⠑⠹⢿ ⢧⢇⢤⡂⢹⠑⠠⣪⡢⠄⣸⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⢳⠀⠀⠀⠀⡦
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