⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡤⣴⡤⣤⣄⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⢤⠀⠀⠀⠀⠀⣤⣾⠻⣜⡵⣣⣛⠶⣍⡟⡷⣄⠀⠀
⠀⠀⣠⠖⠲⢄⠀⠀⠀⣸⠁⠀⠀⢳⡀⠀⢀⣾⣓⢮⡝⡞⣴⢣⡝⣞⡱⣞⡱⣏⣷⠀
⠀⢀⡇⠀⠀⠈⢣⠀⠀⡇⠀⠀⠀⠀⢷⠀⣼⢳⡜⣣⢞⡽⣜⣣⠟⣬⢳⢎⢷⡱⣞⡇
⠀⢸⡇⠀⠀⠀⠈⡇⠀⡇⠀⠀⠀⠀⢸⠀⣯⢧⣛⣥⡛⣖⣣⢧⢻⠼⡭⢞⣣⠽⣜⣿
⠀⠈⡇⠀⠀⠀⠀⢹⠀⣇⠀⠀⠀⠀⢸⠀⣟⢶⣩⠶⣙⢮⠵⣎⡏⡷⣹⡹⣬⣛⡼⡇
⠀⠀⢳⡀⠀⠀⠀⠈⡇⢸⠀⠀⠀⢀⡟⠀⢹⡮⡵⢫⡝⣮⢛⡴⣫⢵⢣⡗⣣⢮⡽⠁
⠀⠀⠀⢳⡀⠀⠀⠀⠙⠉⠁⠀⠀⠈⠙⠲⣄⠹⣽⣣⢻⢴⢫⢞⣥⡛⣮⠵⣫⡾⠁⠀
⠀⠀⠀⢠⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡈⠛⢷⣮⣛⣮⢶⣹⡾⠟⠉⠀⠀⠀
⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⣹⠿⠉⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠄⠀⢀⡇⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠘⣆⠀⠀⠀⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠘⢦⡀⠀⠀⠀⠀⠀⠷⠚⠃⠀⠀⣠⣾⣷⣶⣤⠤⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢀⣤⣾⣿⣿⣷⣦⣤⣤⣤⣤⣤⣴⣶⣿⣿⣿⢿⣻⣿⠀⢘⡆⠀⠀⠀⠀⠀⠀⠀⠀
⢠⢿⣿⣿⡿⣽⣿⣻⣿⢿⣿⡿⣿⢿⣻⣿⣽⣾⣿⢿⣿⣤⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣯⠀⣹⣿⣿⢿⣽⡿⣯⣿⡿⣽⣿⡿⣿⣽⣿⣽⣾⡟⠁⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠈⠓⣿⣿⣯⣿⣟⣿⣿⣽⣿⢿⣷⣿⣟⣿⣾⣟⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠉⠻⢿⣽⣿⣻⣾⢿⣾⡿⣟⣾⣿⢯⣷⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠉⡟⠉⠛⠛⠛⡟⠉⠉⠉⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠳⠦⠤⠤⠴⠓⠤⠤⠶⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀