League of Legends Emojis & Text

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