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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⠛⠉⠁⠀⠀⠀⠈⠉⠻⢿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣼⣿⡟⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣈⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣸⣿⣿⠀⠀⠀⠀⠀⢀⣴⣿⣿⡿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⡿⠿⠿⠿⠿⢿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣾⣿⣿⣿⠀⠀⠀⠀⢀⣿⣿⠟⠁⠀⠀⠀⡀⠀⠀⠀⠀⠈⢻⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣴⣿⣿⠟⢹⣿⣿⠀⠀⠀⠀⢸⣿⣇⢀⠀⠀⠀⠀⠀⠐⠒⠒⠀⠀⢀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀
⣸⣿⡟⠁⠀⢸⣿⣿⠀⠀⠀⠀⠀⢿⣿⣿⣳⠦⠤⠤⠤⠄⠀⠀⠀⣀⣾⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣤⣤⣤⣤⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠘⣿⣿⡄⠀⠀⠀⠀⠀⠀
⣿⣿⡇⠀⠀⢸⣿⡏⣤⡀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⠿⠟⠛⠛⠛⠛⠛⠻⠿⣿⣿⣦⡀⠀⠀⠀⠀⢻⣿⣧⠀⠀⠀⠀⠀⠀
⣿⣿⡇⠀⠀⢸⣿⡇⢹⣧⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠁⢹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⡿⢿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡟⠁⢀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣻⣿⣧⠀⠀⠀⠀⢸⣿⣿⣿⣷⣦⡀⠀⠀
⣿⣿⡇⠀⠀⢸⣿⡇⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡿⠛⠉⠁⠀⠀⠀⠀⠉⠛⢿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣆⠀⠈⠋⠉⠁⠀⠀⠀⠀⠀⣤⣿⣿⣿⠀⠀⠀⠀⣼⣿⡏⠉⠻⣿⣿⣄⠀
⣿⣿⡇⠀⠀⢸⣿⡇⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣿⡇⠀⠀⠀⠀⠀⠀⢀⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣷⣤⣀⣀⣀⣤⣤⣶⣶⣿⣿⣿⡿⠃⠀⠀⠀⢀⣿⣿⡇⠀⠀⠸⣿⣿⡀
⢿⣿⣇⠀⠀⢸⣿⡇⠀⠀⠈⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⢹⣿⡇⠀⠀⠀⠀⠀⠀⣼⣿⣿⣥⣤⣤⣤⣤⣤⣤⣤⣄⡀⠀⠀⠀⠀⠈⢿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠋⠀⠀⠀⠀⠀⣸⢿⣿⡇⠀⠀⠀⣿⣿⡇
⠸⣿⣿⣶⣤⣾⣿⡇⠀⠀⠀⠀⠙⠿⣶⣤⡄⠀⠀⣤⣤⠿⠋⠀⠀⢸⣿⡇⠀⠀⠀⠀⢠⣾⣿⣿⠿⠛⠛⠛⠛⠛⠛⠻⢿⣿⣿⣆⠀⠀⠀⠀⠈⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠈⣿⡇⠀⠀⠀⣿⣿⡇
⠀⠈⠛⠻⠿⢿⣿⣷⠀⠀⠀⠀⠀⢀⣿⣦⣤⣴⣶⣿⣿⡿⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⣿⣿⡏⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣧⠀⠀⠀⠀⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⣿⡇⠀⠀⠀⣿⣿⡇
⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⢸⣿⣿⠛⢻⣿⡟⠉⠀⠀⠀⠀⣿⣿⠁⠀⠀⠀⠀⣿⣿⡄⠀⠙⠛⠃⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠀⠀⠀⢀⣿⣿⡟⠛⢿⣿⣷⡀⠀⠀⠀⠀⢸⣿⣿⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠃⠀⠀⣿⡇⠀⠀⠀⣿⣿⡇
⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣇⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⢻⣿⣿⣦⣀⠀⠀⠲⠶⠶⠶⢶⣦⣾⣿⣿⠃⠀⠀⠀⣼⣿⣿⡇⠀⠈⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⠈⠹⣷⣄⡀⠀⠀⠀⠀⠀⠀⢀⣴⡟⠁⠀⠀⢸⣿⡇⠀⠀⣰⣿⣿⠇
⠀⠀⣀⣴⣶⢾⣿⣿⡀⠀⠀⠀⠀⢸⣿⣿⠀⠸⣿⣿⣶⣤⣤⣤⣾⣿⡿⢦⣤⡀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠁⠀⠀⠀⢰⣿⣿⣿⡇⠀⠀⢸⣿⣷⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⢉⣿⣄⡀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⢸⣿⣿⣶⣾⣿⡿⠋⠀
⠀⠰⣿⣍⡀⠈⢿⣿⣿⣶⣶⣶⣶⣿⣿⠏⠀⠀⠈⠛⠻⠿⠿⠿⠟⠋⠀⢀⣿⣿⠀⠀⠀⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡟⢹⣿⡇⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠘⠿⣿⣿⣶⣶⣾⣿⡆⠀⠀⠀⠀⠀⢸⣿⡟⠛⠛⠉⠀⠀⠀
⠀⠀⠙⠻⠿⢷⣶⣽⣿⣿⣛⣛⣛⠋⠁⠀⠀⠀⢀⣀⣀⣀⣤⣤⣤⡶⠿⠟⠋⠁⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠁⢸⣿⡇⠀⠀⢸⣿⣧⠀⠀⠀⠀⠀⣿⣿⡆⠀⠀⠀⠀⠈⣿⣿⠉⢻⣿⡇⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠃⠀⢸⣿⡇⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⣿⣿⣇⠀⠀⠀⠀⣠⣿⣿⠀⣾⣿⡇⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⠹⣿⣷⣤⡀⠀⠀⠀⠀⠀⢀⣠⣾⡿⠃⠀⠀⢸⣿⣇⠀⢀⣾⣿⣿⠀⠀⢀⣴⡆⠻⣿⣿⣷⣶⣶⣾⣿⣿⠏⠀⢿⣿⣷⣀⠀⠀⠀⢀⣿⣿⡇⠀⠶⣶⡄⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠙⣿⣿⣿⣷⣶⣶⣾⡿⠟⠋⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠸⣿⣧⣀⡈⠉⠛⠛⠛⠛⠉⠁⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⠿⠁⣀⣠⣾⡇⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣿⣿⡟⠉⠉⠉⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⢶⣶⣶⣶⣦⣤⣤⣤⣤⣤⣌⡉⠉⠉⠉⠉⠰⠾⠟⠛⠉⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡇⠀⠀⠀⠈⣿⣿⡏⠙⣿⣿⡇⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣇⠀⠀⠀⢀⣿⣿⡇⠀⣿⣿⡇⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⠄⢻⣿⣿⣷⣶⣶⣿⣿⡿⠁⠀⣿⣿⣧⣀⠀⠀⢀⣠⣿⣿⡇⠺⢷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣄⣀⠉⠛⠛⠛⠛⠛⠋⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⠟⠁⣀⣨⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠿⢿⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣬⣭⣭⣭⣿⣿⡶⠿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
₊˚ʚ ᗢ₊˚✧ ゚.
{\__/}
( • w •)
/ >❤️🔥You want it?? {\__/}
( • ^ •)
❤️🔥< \ Just kidding,it’s too sensitive!! {\__/}
( • w •)?
❤️🔥< \ You promise you wont break it again?? {\__/}
( • - •)
/ >❤️🔥 -Gives heart- {\__/}
( • > •)
/ v v/-fixes it-
-
{\__/}
( • - •)
/ v v/ -Gives it back- {\__/}
( ^w^)
/ >❤️/ thanks!
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠶⡿⢶⣦⣀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢀⣀⣤⡤⠠⠴⣶⠖⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣽⣎⢷⣛⡷⣄⠀⠀⠀⠐⣀⣮⣴⠚⠉⢛⣯⣁⣀⣴⣾⡿⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⣷⣿⣷⣶⠛⣍⠹⢻⣷⣶⠚⢛⡿⠋⠀⠈⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⣒⢩⡉⠉⠁⠀⠀⣀⣚⣿⣦⣝⣋⣵⣿⡥⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠷⣮⠷⠷⠶⠒⠛⠛⠋⠉⠁⠈⢸⣿⠋⠯⢗⣧⡙⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡨⢹⠠⣹⡮⣧⡄⢀⠘⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡿⠃⠀⠀⠀⠀⠘⠻⣧⣄⠀⠀⠀⠀⠀⠀⠠⠃⢸⠀⢻⡿⣤⢻⡼⣿⣸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣋⣤⠞⣢⢞⡩⠍⠉⠙⢙⢿⣷⡀⠀⠀⠀⠴⠁⠀⠘⡀⠀⠙⢿⡄⠁⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠒⠒⠒⠦⢄⡀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡿⣫⣶⣻⠗⣩⣴⣾⠟⠛⠉⠻⢛⣿⡦⣀⠀⠠⢖⠒⢄⠆⠀⠀⠀⠉⠘⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠂⠀⠀⡀⠀⠀⠀⠀⢈⠙⠦⣄⠀⠀⢀⣼⣿⣿⠟⣷⣾⣷⣿⣿⣛⣤⣄⣠⣴⣾⡟⣯⢲⣸⣇⠀⠪⡃⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⡄⢀⡀⠀⠀⠉⠳⠤⢽⣲⣏⡙⢿⣇⣼⢿⣷⣿⣿⣿⣿⣿⣿⣿⣿⠟⣠⣿⣯⡿⣚⠀⠀⠈⠲⡷⠋⢁⠤⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢣⠀⠀⢨⠣⣄⣀⣀⣠⣤⣾⡿⠿⢿⢛⣯⡟⢶⣶⣿⣿⣿⣿⠋⣰⣿⣷⣯⠾⣿⣿⣿⣧⠇⠀⠀⠀⠀⡃⠀⠀⠠⡦⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠡⡀⠀⢑⢠⠁⢠⠤⠤⠤⠶⣶⣶⣿⣿⣿⣶⡿⢟⣷⣿⣷⣾⠿⢿⣉⠶⡐⣸⣽⣷⠏⠀⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠁⠈⠻⣦⣤⠞⢶⠻⣶⣿⢿⣿⠿⣛⣉⣴⣿⣿⣽⢞⣿⠿⢩⡙⢃⠈⠙⣘⡿⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠘⠒⠤⠄⢉⢻⣏⠉⠉⠉⢷⣤⣡⣴⣿⣿⣿⢫⡅⢎⡈⡄⣤⠉⠁⢀⣼⣿⠃⠀⠀⠀⠀⠸⡷⠋⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠠⣄⡀⠈⣈⣿⠿⢶⣺⡷⠿⠿⠟⡿⣶⣯⠾⡵⢦⣤⢼⣶⡿⣿⣿⡀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠱⡄⢀⣠⣼⣿⣶⣾⣆⢻⡒⠆⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⢆⠀⠀⠀⠀⠀⠀⠀⠀⠉⠭⠐⠃⠋⠉⠁⢤⡀⠀⠀⠁⠓⣾⡷⠆⠀⣸⣟⠷⢷⢹⣿⢧⠀⠀⢀⠀⣎⠀⠀⡄⠀⠀⠀⠀⣻⢶⣍⡛⢿⣭⣻⢿⣿⣷⣝⣦⣌⡳⣗⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠉⠒⠤⣄⣀⣀⣀⣀⢀⡀⠀⠀⢀⣢⣠⢤⣟⡾⣧⣤⠄⠀⠹⡄⠀⠃⠈⢦⡈⠀⠙⠲⠀⠀⠘⣿⣿⡄⠀⠛⢶⣶⣶⣿⣿⣷⣾⣿⣿⣾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢏⠉⢛⣩⢟⣿⣹⡀⠀⠀⡑⢾⡀⠀⠀⠙⢦⡀⠀⠀⠀⢀⠏⢧⢇⠐⢤⣲⣶⣾⠟⣿⠄⡫⠿⣿⣿⣿⣿⣿⣿⣿⢿⡍⢿⡄⢿⡜⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⡖⠋⡱⢚⡿⡻⢿⣶⣶⣷⣾⢨⣢⢄⠀⠀⠙⠳⣴⣒⣾⡤⠀⠻⡄⠀⠈⢻⣅⠀⢀⠄⠳⣑⠆⡍⣛⢛⣿⣿⠏⠆⣿⢠⣿⢸⣿⣽⠆⠀⠀⠀⢀⣠⠤⠐⠀⠀⠀⢀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡼⢏⡴⠋⠠⠃⢸⠟⣿⣿⣿⠃⠈⢉⣭⠒⠶⠯⣍⡭⣝⠙⠀⠀⠹⣆⠀⠈⢧⠀⠈⠁⠀⢙⣾⢠⢛⣼⡿⣛⢨⢧⣿⣼⣻⣿⣿⣿⠀⢀⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⢱
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠞⠋⠀⠈⢠⡿⣟⣀⡟⡆⢣⠀⣩⠝⢢⣤⠞⠀⠀⠀⡸⠑⠀⠀⠀⠀⠀⠈⠿⣄⡈⠦⡐⠃⣀⡙⠉⢆⣹⣿⣱⣷⣿⣿⣧⣿⣿⣿⣿⡟⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼
⠀⠀⠀⢸⡓⠄⣴⣳⢤⡤⠒⠓⠈⠀⠀⠀⠀⠀⠀⠀⢀⡏⠁⠳⠸⠿⠟⠂⠁⠋⠀⠀⠀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠘⠪⢦⣙⢲⣽⣏⡟⣮⣿⣵⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠔⠁⠀
⠀⠀⢠⡟⣠⡞⢫⠴⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⣔⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡛⣏⣩⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠏⠠⠀⠀⠀⠀⠀⢀⡀⠄⠐⠈⠀⠀⠀⠀
⠀⠀⣾⡿⣅⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢔⠣⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠙⠉⢻⣽⣏⣛⠻⠟⠋⣭⢧⣀⡄⠀⠀⠄⠒⠂⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢻⡻⡹⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡖⠃⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠤⠀⠈⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣀⠒⡿⠃⢛⣬⣉⣲⡿⢮⡴⣌⣁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠉⠁⢠⢴⠢⣄⣠⣤⠰⠒⠉⣠⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢄⠀⠀⠀⢈⡖⠀⠀⠀⠀⠀⠀⠀⠀⢠⢄⡀⠀⠀⢏⣌⣠⠴⢺⣿⣿⣿⣛⠷⢸⣼⠋⢉⠑⠉⠓⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠸⣜⠀⢿⡸⡧⢤⢒⠏⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠭⠳⢤⡰⠁⠘⠦⢀⢀⣀⠀⠀⠀⣀⣏⠈⣙⠞⡡⢿⣶⣦⣾⢿⣭⣽⢭⣍⣛⢳⡇⠀⠀⠉⠑⠒⠦⠴⠢⠤⠤⠤⠤⠤⠄⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠉⠓⠙⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⢹⡟⠒⢠⣤⣤⣬⡞⢡⣾⡖⠚⢻⣿⣿⣧⢹⣧⢢⡌⣼⣿⡅⠀⠀⠀⠀⠀⠀⢠⡖⠀⢠⣤⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠉⢷⠶⠫⣴⣟⡋⠴⢶⡞⣉⣾⡏⡄⢋⡳⡴⢻⠋⠈⠁⠑⠒⠂⣄⠀⠈⣉⣿⣥⣄⠀⢀⡀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢮⣙⣶⣻⣔⣼⠋⣭⣿⠞⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠯⢀⠊⢻⣆⠀⢱⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠒⠙⠋⠹⡂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠙⣷⡀⢇⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡕⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⣀⣼⣷⢸⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣯⣿⡣⠎⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⡑⠤⣀⠀⠀⠀⠀⠀⢀⣤⠲⣤⠀⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⡁⠂⠀⠐⠈⢉⣿⢰⢯⠂⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⠏⠉⠉⠓⠶⠦⠼⠿⠛⠋⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠅⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣴⣶⣶⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡶⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⣋⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⡟⣿⣽⣿⣿⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢻⡌⣿⣿⣿⡟⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⢖⣲⠶⠶⣶⣤⣄⣀⠀⠀⠀⠐⠂⠀⡌⢿⣹⣿⣿⠃⠀⠙⢿⣿⣿⣿⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢳⠇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣫⣾⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣦⡀⠀⠈⠁⠈⣿⣿⣿⠀⣀⡀⠀⠉⠻⣿⣿⣷⣽⡿⣿⣿⣿⣿⣿⡟⠛⠻⣿⣿⣿⣿⡟⣾⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡝⣷⡀⠀⠀⠛⠹⣿⠈⢯⢃⣰⣉⣶⠾⠿⢿⠿⣿⣿⣿⣿⣿⠏⣷⣾⣷⣿⣿⣿⣿⣧⡏⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⢿⣇⡀⠈⠻⣿⢤⣄⡀⠈⠑⢌⡙⢼⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀
⢀⣾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢉⠻⣷⡄⠀⠀⠀⠀⣽⣿⡄⠀⡏⠯⡁⣱⠀⠐⠏⠉⠢⣝⣏⢸⡟⢿⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀
⢸⡧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⡿⣻⣿⡇⠉⣧⠙⣿⡆⠀⠰⣄⣿⠀⡰⢵⠓⢦⡉⠏⣰⠖⠀⠂⠀⠀⠙⢻⣵⣾⣿⢋⣿⡿⠙⣧⠀⠀⠀⠀⠀⠀⠀⠀
⢸⣷⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⢷⣿⡿⢹⣤⢿⣀⣿⣧⣹⠀⠊⣿⠞⢀⢲⡖⠢⣽⣍⡧⠄⠛⠀⠀⠀⠀⠀⣾⣿⣿⣾⡿⢀⡀⠈⣷⣄⠀⠀⠀⠀⠀⠀
⣸⣿⣿⣿⣿⣿⢏⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣃⡼⣧⣴⣯⠔⠋⡟⢷⡄⠘⡻⣏⣉⡵⣄⡱⣤⡀⠀⠄⠀⠀⠀⢀⣀⣿⣿⣿⣿⢴⠙⢇⣾⣿⡟⣧⡀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⡟⡡⠏⠸⠓⠲⣇⢰⣿⡇⠬⠀⢻⣿⡓⢣⢀⡀⠀⠀⠀⠂⠀⠀⠈⢹⣿⣿⣿⣄⢼⣠⣿⣿⣿⣿⣿⠻⣦⣀⠀⠀
⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠷⡁⢠⠇⠀⠀⣀⣱⢠⣿⠁⠀⣤⢹⡧⠺⡠⠠⢄⣠⡀⣠⣤⣴⣿⣿⣿⣿⠱⠋⣹⣿⣿⣿⣿⣿⣿⣆⡀⠉⠳⡄
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⡄⠈⢯⡿⢶⡖⠚⢧⣤⡟⢽⣧⠀⣀⠈⣧⣈⣉⣭⣴⣾⣿⣿⣿⣿⣿⣿⣿⣁⣫⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡇
⢸⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠁⠀⠀⠀⠈⠁⠀⠀⣹⡇⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠻⣿⣿⣿⢣⢇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⠘⣿⣿⣿⣿⣿⣿⣿⣯⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⠀⠀⢀⠠⢄⠀⠀⣠⡶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡧⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣙⠿⣿⣿⣿⣿⣿⣿⡿⠽⣿⣆⠎⠁⠀⡴⣣⡾⠋⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢸⣷⢋⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⡷⣤⡌⠻⣿⡂⢸⣸⡟⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⢿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⠀⠀⠻⣷⣝⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⡱⢰⡃⠀⠈⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣸⡗⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃
⠀⠀⠀⠀⠉⠛⠿⠶⠿⠿⠿⣿⣿⣙⢻⣿⣿⣿⣿⣿⣾⣿⣾⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⢡⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢿⣽⣿⡿⠛⠻⠛⠋⢙⡟⢹⠋⣿⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢣⣾⠟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⡏⠁⠀⠀⠀⠀⠘⠟⠚⠀⠀⠈⠻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⢸⣿⣭⣥⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡶⠶⠶⠶⠶⠶⠶⢶⠶⠶⠶⠶⠶⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⠿⠿⠿⠛⠿⠿⠿⠁