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⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
doro doro chan!
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
评论区的某位兄弟，我鼠标点太快不小心点到那个旗帜了（就是那个隐藏并举报），我不是有意的！！！十分抱歉！！！
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⢀⡴⢁⡜⠉⠋⠉⠹⠉⠱⡄⠙⢦⣼⣾⣿⣿⣧⠀⠀⠀⠀
⠀⢀⡞⢀⡞⢀⡄⠀⠀⢀⢸⠀⠹⡀⠈⣟⠿⣿⣿⣟⣉⡇⠀⠀
⣴⣫⠀⢸⢠⣾⡇⢠⠀⢸⢰⢆⠀⡇⠀⢹⣿⣿⣿⣿⣌⡇⠀⠀
⠀⠀⢀⡼⢻⠛⢿⡾⠦⣿⣿⣿⣷⡇⠀⢸⠁⣯⣿⠛⡹⠛⣦⠀
⠀⢰⢨⠀⠈⢓⢺⢁⣀⠀⢿⢀⣼⠃⠀⣸⣠⠃⣇⡴⠁⠀⢸⡇
⠀⠘⣎⢓⢤⣄⣀⣉⡉⣁⣀⣠⣿⡆⢠⠟⠁⠀⠘⠁⠀⠀⢸⡇
⠀⠀⠈⢺⡿⠇⡀⠉⠉⠉⠉⢉⣼⡡⠋⠀⠀⢀⣴⠀⠀⣠⠟⠀
⠀⠀⠀⠀⢷⡀⢻⡶⣤⣤⠀⠀⠀⠀⣀⣤⡴⠛⡇⠀⠀⡏⠀⠀
⠀⠀⠀⠀⠈⠳⠼⠃⠀⠈⢧⡀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⠾⠁⠀⠀⠀⠀⠈⠉⠀