Brassiere Emoji Combos

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⣀⡀⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠋⠟⠿⣿⢿⠿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠟⣿⣿⣿⠿⠛⡿⣿⠿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣿⣿⣿⣿⣿⣿⣿⣿⢼⠀⠀⠀⠀⠀⠀⠋⡿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣿⣿⣷⣹⣾⠽⣻⣷⣿⣿⢸⠀⠀⠀⠀⠀⠇⣿⣧⡞⣳⣽⣯⣷⣿⣽⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣻⢷⣫⢶⣽⡞⣿⣿⣿⠀⠀⠀⠀⠀⠀⡇⣿⣹⣿⣞⡷⣏⡼⣿⣿⣿⣿⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⡶⣛⣽⣮⣟⣞⣿⣿⣿⠀⠀⠀⠀⠀⠀⡇⣿⣏⠾⣟⣭⡾⣞⢯⣷⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣻⣽⣞⡽⣮⢟⣯⣿⣿⣿⢸⠀⠀⠀⠀⠀⡿⣻⢷⢯⣳⣟⣞⣞⣟⣯⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⡽⣮⣛⣽⢯⢷⣯⣿⣿⣿⠈⠀⠀⠀⠀⣿⣾⡽⣹⣽⠾⣯⣞⢯⣷⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡷⣞⢯⡼⣻⡾⣞⣿⣿⣿⢻⠀⠀⠀⡇⣾⣽⡷⣏⡾⣏⢷⣭⣞⣿⣿⣿⠰⠀⠀⠉⠛⠷⠴⣤⣤⣤⢦⠛⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣻⢷⣯⣏⢻⣶⣟⣯⣿⣷⣿⢹⠀⠀⡿⣽⡽⣻⢷⣭⣻⢶⣻⣞⣿⣿⣾⠁⠟⣯⣛⠖⠶⠤⠶⠻⠉⠀⡄⢿⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⢯⣳⢯⡼⣻⢷⢯⣯⣿⣯⣿⠘⡇⣿⣏⡶⡽⡿⣏⡼⣻⢷⣯⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⣆⠸⠀⣇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⣻⣹⢽⣻⣯⡵⢻⣷⣯⣻⣯⢻⣿⢯⣱⣾⣝⠾⣹⣷⣞⡽⣿⣿⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣻⣝⡼⡿⢗⣮⡳⢽⣮⢿⣿⣿⣹⢷⣮⣗⡮⢟⣭⣹⡾⣟⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⠀⡿⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⡵⣞⡹⢿⣏⢧⡻⣜⣿⣿⣿⡻⢿⣞⢯⣟⠿⣜⡻⣟⣿⣿⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⣸⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡝⣿⣄⣷⣿⣸⣿⣿⣿⣿⣿⡃⣿⣴⢀⣇⣿⠿⣿⢸⣄⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢸⣿⢀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣾⣿⣾⠀⡀⣦⣾⣠⠀⣿⢲⣤⣤⢀⠀⠀⡇⣿⣖⣷⢻⠀⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣷⢰⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣿⡶⣴⢠⠀⠀⠀⠀⠀⡇⣼⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⣿⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣼⡾⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⢘⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢃⢸⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⢸⠀⠀⠀⠀⠀⠀⠀⠅⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⡟⢀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢸⡿⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠛⠛⠈⠀⠀⡆⢸⠀⠀⠀⠀⠀⠀⠀⡀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢿⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⣿⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡟⣽⣿⡿⣿⣿⢿⠉⠀⣿⠀⠀⠀⠀⠀⠀⠉⠛⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣼⠀⣿⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⣴⣁⠟⣿⣿⣿⣿⣿⣿⣿⣿⢹⠀⠀⠀⠁⠟⣶⣶⣷⢿⠈⠀⠀⠀⠀⠀⠀⠀⠀⡟⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠀⣿⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠇⣼⠟⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠹⠀⠋⣴⢀⠀⠀⠀⡀⢧⠙⠀⠀⠀⠀⠀⠋⡴⢀⠿⠙⠀⠆⠻⠈⠀⠀⠀⠀⠀⡄⢸⠀⡆⠸⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣸⠀⠀⠀⠀⠀⠀⠀⣀⢦⠳⠛⠛⡾⢦⠻⠂⣿⣷⠻⠀⡀⣦⠹⠀⠀⠀⠀⠀⣧⠈⠀⡄⠳⠋⠘⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣤⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠈⠀⠀⠀⠁⠀⠀⠀⠀⠀⠇⣸⠀⡇⣿⣿⣿⡿⣿⢿⠙⠀⡀⢷⠙⠀⠀⠀⠀⣦⠙⠃⡻⣿⣿⠙⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣿⣿⣿⣴⣠⣀⣄⣷⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠁⡿⣿⣿⣴⣀⠀⠀⣄⠻⠈⠀⣍⢿⠈⠀⠀⠢⡙⣿⢿⡸⣬⣶⢳⠙
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣷⣸⠀⠀⠀⠀⡀⣧⠸⠀⠀⠀⠀⠀⠀⠀⠀⡀⢳⡟⣿⣿⣠⠀⠀⠀⠀⠀⣧⢿⠿⣿⣾⢻⠀⠀⠀⣇⣾⣿⢿⢹⠀⡀⣴
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣽⢷⠈⠀⠋⠶⡤⢠⠀⠀⠀⠛⡴⣠⣀⣀⣀⣤⣷⣿⢠⠀⡆⢸⠀⠁⠉⠛⣿⣿⣿⢼⣧⢸⠃⠀⡏⠘⡀⣄⣴⣤⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⠻⣿⡼⢀⠀⠀⠀⠀⠃⡾⢀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⢾⡇⠏⣿⠠⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⠈⣧⣿⣿⠙⠉⠈⠁⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠋⠾⣥⠠⠀⠀⣇⣿⣿⣿⣿⣿⣿⣿⣿⢂⠇⣿⣿⣾⠀⠀⠀⠀⠀⠀⠀
⠀⡲⡒⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠻⠈⡂⣿⠈⣇⣿⣿⣈⣀⣀⣀⣀⣀⣀⣠⣄⣤⣤⣷⣿⣸⠀⠀⠀⠀⠏⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣾⢀⠀⠀⠀⠀⠀⠀⠀
⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣿⢈⣷⢩⡏⣿⣿⣿⢿⠛⠙⠉⠉⠿⠙⠀⠀⠀⡇⣿⠁⠘⠉⠛⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⢿⡍⣋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣃⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠿⣿⣿⣿⣿⣿⣶⣤⣀⢀⠀⠀⠈⠀⣀⣀⣀⣀⣀⠀⠀⣀⣀⣦⣿⣿⣿⣿⣿⣿⣴⣧⣿⣾⣷⣿⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣿⣿⣿⣿⣿⣾⢀⠀⠀⠀⠀⣤⣤⣄⣤⣦⢺⠀⠀⠀⠀⠀⠀⠀⠀⣷⣿⣿⣿⣿⣿⢿⣤⢀⠁⡿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢒⠉⢀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡿⣿⣿⣿⣿⣿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣀⣧⢿⣿⣿⣇⢼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠄⠤⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣷⣿⣿⣿⠀⠀⡿⣿⣦⠹⠀⠁⠿⠀⠀⠁⠿⠴⠧⠿⡿⠀⠀⠀⡏⣿⣿⣿⣿⣿⠸⠀⣿⣿⣿⠃⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⠞⣦⠟⣿⢰⠁⠟⣿⣿⠛⡟⣾⣤⢀⠉⡟⣿⣿⣿⣿⣟⣿⣿⡿⣿⣿⣿⠆⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣇⠄⠠⠀⠀⠀⠀⠀⠀⠀⣿⠘⡇⣿⣿⡿⣿⣿⣿⣿⢿⡿⣿⢿⡿⣿⣿⠃⡿⣿⣿⣿⣿⣿⣿⡾⣿⣿⣿⣟⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⡇⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⠘⣷⣿⣿⣿⣿⣿⢻⠈⠀⠁⣿⣿⣿⣿⣿⣿⣿⣿⢀⠀⠀⠉⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⡿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠐⠋⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⣾⣼⣿⣮⣿⣿⣿⣽⣮⣭⣶⣝⣯⣯⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣿⣯⢿⣎⠳⣭⡟⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣳⣽⣾⣿⣿⣿⣿⣿⣿⣿⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⢿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡟⣭⣻⢶⣯⣟⣿⣿⣿⣿⣾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣝⡿⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣯⡳⣽⢯⣿⣿⣿⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⣽⡾⠷⣟⣾⣤⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣾⣤⣤⢤⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣟⣿⣴⠀⠀⠀⠀⠀⡀⣀⣀⣀⣁⣟⣿⣿⣽⣿⣿⣾⣾⠶⠶⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣶⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⣾⣴⣀⣧⡿⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⡄⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

Warning: This item may contain sensitive themes such as nudity.

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⢀⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠓⣠⠅⠒⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠔⢁⡐⠌⢀⠉⣖⠃⠈⠉⠉⠈⠂⠐⠁⠊⠕⠦⠤⠉⠂⠒⠁⠈⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠁⡠⠌⠀⠜⢀⠋⠔⢣⠉⠒⠔⠤⡀⣀⠀⠤⣉⢈⠒⠤⠁⡉⡞⠼⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠂⠐⠀⠀⠀⠀⠊⠠⠀⠁⡰⠁⡔⢀⠉⡖⠝⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠤⣠⠀⠂⠔⡞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠒⠀⠅⠭⠩⠊⠒⠒⠒⠖⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠀⠂⠒⠒⠒⠒⠐⠉⠉⠉⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠤⠤⠤⠤⠤⠤⠤⠀⣀⣀⠀⠀⠁⠉⠈⠒⠓⠴⡀⠀⠀⡀⠀⠂⡠⠁⡔⢀⠁⡴⠀⠀⠀⠀⠀⠐⠤⠀⡀⠀⠀⠉⠋⠖⣠⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠀⠒⠐⠀⠥⠩⠉⠒⠒⠄⠤⡠⣀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣄⣀⣀⣀⢀⠁⠒⡠⢀⠀⠀⠀⠀⠀⠀⠀⠖⡠⠀⠊⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠘⡔⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠡⢚⠤⠤⡠⣀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠐⡠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡁⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⡠⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠁⠜⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠑⠠⢡⡈⠒⢈⠔⡠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡀⡌⠀⠀⠀⠀⠀⠀⠀⠁⠐⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠁⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡌⢂⢡⡘⡍⠒⠤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⢀⠀⠁⠈⠂⠀⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠌⠃⡠⠕⢊⣒⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠏⢂⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠐⠀⠠⠀⠈⠀⠐⠀⠄⠩⠊⢒⠄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠐⡴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⡀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠂⠓⠄⠤⠠⠐⢀⠐⠀⠡⠉⢂⠒⠄⠤⡀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠠⠁⠐⡠⠊⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠉⠋⠒⠜⠼⡢⣄⡉⠉⢈⠒⠒⠐⠤⠤⠤⡀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠊⡠⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢡⠀⠀⠀⠀⠀⠀⠀⠁⠉⠒⠓⠚⠙⠉⠉⠈⠀⠊⠑⠜⠭⠦⣈⣱⢃⡩⠒⢒⠤⠤⡀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠡⡐⠒⠐⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢄⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⡈⡱⠖⣋⣴⢞⠯⠾⠶⢤⡠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠂⠀⠀⠀⠀⠀⠀⠉⣪⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⠢⠑⠈⠀⠀⠁⠀⡁⠂⢈⡱⠮⢒⣤⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠠⠂⠠⢀⠀⠀⠀⠀⠀⠀⠁⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠠⠒⠉⠒⠔⡠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠤⡠⣀⠄⡀⣠⢐⠧⠤⠓⠒⠙⠤⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠒⠄⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⡂⠔⢎⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠁⠊⠄⡠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠔⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠂⣀⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠁⠔⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠃⠬⢱⢨⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡌⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠁⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠛⡯⣙⢯⡍⠳⢌⡹⠆⠃⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⡠⣔⠀⢠⡀⣀⣀⣠⣄⣀⣤⣤⡦⠖⠱⠿⠋⠛⠒⠴⠭⠬⠤⠂⠒⠉⠀⠀⠀⠀⠀⠀⡈⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠊⠔⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣤⠲⠉⡀⣀⢀⠤⠂⣑⠢⠙⠀⠀⠀⢸⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠊⠔⡠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢂⠉⠀⠤⠤⠀⠒⢍⠑⠘⢶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡄⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠉⠉⠉⠉⠀⠀⠀⠀⠁⠉⠉⠉⠉⠉⠚⠒⠄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⡀⡤⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠄⠄⠑⠀⠀⠀⠀⠀⠀⠀⠀⠒⠄⠠⣀⣀⢀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠢⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠄⠐⠊⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡀⠄⢀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠠⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢀⠠⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⢀⠠⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠤⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⡀⢀⠠⠐⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⡎⣀⠄⠠⠐⠉⠠⠐⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠀⠀⠀⠀⠀⠀⠀⠀⡇⠁⠐⠀⠊⠫⡱⣼⠀⠀⠀⠀⠀⡁⢜⠠⠂⢁⠌⠀⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠘⠀⠀⠀⠀⠀⠀⠀⡀⡸⠀⠏⢟⢣⡼⠀⠀⠀⠀⠀⠁⡴⠀⠀⠀⠀⠀⣀⠄⠠⠒⢁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠏⣿⢿⣿⢠⠀⠀⠀⠀⠃⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣀⠄⠠⠒⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠀⠀⠀⠀⠀⠀⠀⠀⣃⣿⣿⣾⣠⠀⠀⠀⠀⠂⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠢⢌⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠁⠔⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠰⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⢀⠀⠀⠀⠀⠃⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠦⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠐⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢠⠿⠀⠀⠀⠀⠀⠀⠀⠀⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠂⠟⡈⠀⠀⢄⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠘⠸⠀⠀⠀⠀⠀⠀⢘⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠚⠒⠒⠘⠽⠠⢀⡀⠱⡄⣿⠘⠀⠀⡆⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⢹⢀⠀⠀⠀⠀⠃⠀⣝⢾⢠⠀⠀⠀⠁⠋⠶⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⡶⣤⣀⢀⠀⠀⣇⣏⢻⠀⠀⡄⠹⣧⣿⠘⠀⠀⣆⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⣿⠀⠃⠃⢠⠙⢹⠟⣱⠀⠻⠀⠀⠀⡼⢀⠁⠈⠙⡏⠘⠻⣟⣛⣷⣿⠿⠛⠈⠀⠀⠀⠀⠀⠀⠋⡾⣤⢀⠀⠀⠀⠀⠀⠀⠀⢷⣿⢻⠈⠀⡄⡘⣿⣿⠈⠀⠀⣧⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⣼⢫⠶⣤⢠⣀⣀⣀⣤⢶⡻⢯⠙⠇⢛⠇⡏⢿⣼⣀⢀⠀⠀⠀⠀⡀⣄⣦⣷⠿⠈⠀⠀⠁⡟⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡆⣿⢻⠀⠀⡇⡇⣿⢸⠀⠀⡆⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢻⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢧⣿⣿⢿⣿⣰⢠⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣧⠹⠁⡟⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⢱⣿⣿⢳⠀⠀⡿⣿⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡅⣾⢀⢀⠀⠰⢀⠉⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⡿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⡏⡄⣿⣿⡸⢿⠀⣇⣿⣿⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢠⠀⠀⠀⠀⡎⣼⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣮⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣯⢸⣷⣿⢸⡄⠸⡇⣯⣿⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⡆⣉⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⡀⠇⢤⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⡋⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡐⣸⢸⡇⣿⢸⠀⢧⡏⣟⢸⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠠⡇⢻⢹⡟⣿⢸⠀⡄⣾⣿⢠⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠁⠔⠀⠀⣿⣿⣻⣿⣿⢸⠀⡇⣿⣸⠀⠀⠀⠇⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣸⠀⠁⠰⠀⠀⠀⠀⠀⠀⠔⢀⠀⠀⡇⣿⣿⣿⣿⣿⢠⠁⡿⣾⠀⠀⠀⠀⡟⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠸⠢⢌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⢄⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⡸⠀⠀⠀⠀⠀⠃⡠⠀⠀⠀⠀⣿⣿⡿⣿⣿⣿⠀⡟⣿⢸⠀⠀⠀⠃⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢀⠀⡀⠢⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⡈⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢰⠀⠏⠀⠀⠀⠀⠀⠊⢀⠀⠀⠀⠀⢇⣿⣿⣿⣿⣿⢸⡟⣿⢰⢸⠀⠀⠁⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡆⠀⠀⠀⠀⢏⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠒⡛⠈⢀⠀⠀⠀⠀⠀⠀⠀⠀⠎⣬⠀⠃⢠⠀⠀⠀⠀⠎⢀⠀⠀⠀⠀⠀⡇⡽⣿⣿⣿⣿⣟⣿⣼⠃⠀⠀⠀⡿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡉⢠⠀⠀⠀⠃⢠⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⢸⠀⠀⠀⠀⠀⠀⠂⠖⡤⠃⢠⠃⢠⠀⠀⠀⠀⠎⢀⠀⠀⠀⠀⠀⠂⡇⣽⣿⣿⣿⣿⣿⣾⠀⡏⠀⠀⡟⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⡸⠀⡄⠈⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⡟⢠⠀⠁⠉⠉⠉⠒⠄⠤⡀⣄⠀⠠⠀⠀⠀⠀⠜⢀⠀⠀⠀⠀⠀⠀⠀⣿⣽⡿⣿⣿⣿⣿⢠⠁⢸⠀⡟⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢀⠀⠀⢆⠈⠀⠀⠀⠀⠀⠀⡘⠀⡏⣸⡜⢍⠛⠔⡠⠁⠂⠄⠀⠀⣀⢀⠀⠀⠀⠀⠞⠈⢠⠀⠀⠀⠀⠀⠀⠀⣿⣺⣿⣿⣾⡷⣹⠀⡏⢠⡟⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⡕⣿⡄⡈⣀⡄⠘⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡐⠀⢿⠀⠀⠀⠀⠀⠀⠀⣇⣿⢿⣿⣿⡌⣿⣿⠁⣼⡟⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡸⡀⣿⢼⣅⡤⠤⡖⠈⠀⠀⠀⠀⠀⠀⠀⠁⠊⡿⣞⠂⠀⡇⠀⠀⠀⠀⠀⠀⠁⣿⣿⣿⣿⣽⢦⢸⡇⣿⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠐⠉⠉⠀⠂⠐⠤⠠⡀⣀⠀⢸⡇⣿⢸⠁⣼⠤⠰⢒⠑⠀⠀⠀⠀⠊⡠⣇⣿⣿⠃⢜⢀⠀⠀⠀⠀⠀⠀⠅⡿⣿⣿⣿⣿⣿⠇⠀⡇⣷⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⣷⢿⠿⠻⠛⠙⠋⢸⣿⣿⢺⡟⣰⠠⠷⠿⠷⠾⠀⠃⡴⠥⠀⡀⢿⣯⡿⢸⠀⠀⠀⠀⠀⠀⠛⡿⣿⣿⣿⣿⣿⢸⠸⠀⣻⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⣸⣃⠂⡍⣧⣴⠀⠊⣶⣶⡷⠿⣿⡿⣿⣿⣿⠛⠉⠉⠛⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⡏⣷⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⡀⣿⣿⣿⣿⣿⣿⣿⣾⣿⡿⢸⡀⠤⠚⣄⠉⠔⠀⠀⠀⠀⠀⠀⡀⣀⣤⣷⣿⣿⣿⣿⣿⣿⣿⢿⣻⣧⣿⣿⣿⣿⠇⣸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠸⠀⣿⣿⣿⣿⣿⣿⣿⢙⣿⣷⢀⠓⣰⠀⠀⠀⠄⣷⢾⠀⠀⠀⠀⠀⠀⠀⠀⣄⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣾⠁⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⣇⣿⣿⣿⣿⣿⣿⣧⣿⡟⡞⢀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⡈⣥⣷⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⢠⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢸⡇⣿⣾⣿⣿⣿⣿⡷⣿⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢱⠀⠀⠀⠀⠉⡒⠒⠈⣄⣷⣿⣿⣻⣿⣿⣿⣿⣿⣼⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⡈⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠉⡨⠫⡀⠢⠉⣯⣿⣿⣿⣿⣿⣷⣿⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⣿⣿⣻⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠓⠉⠄⠝⢇⠙⠀⡅⣈⣿⣿⢻⠀⣿⣨⣿⣿⣿⣿⣿⡽⣿⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣟⣿⣿⣿⣿⣾⢨⠁⠖⠤⠄⠢⠈⡄⠖⣎⠽⡟⢻⣮⢿⡙⣧⣾⣶⣶⣷⣸⢧⣏⣿⣿⣿⣿⣿⣿⠇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⡿⣼⣿⣿⣻⢿⢸⠸⢹⡏⣽⠻⡿⠘⠃⣼⣷⣿⣿⣿⡿⣿⠹⣇⠘⠀⠉⣯⡏⣿⣻⣿⣿⣿⣿⣿⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⣿⣿⢀⣿⣿⣿⡿⢻⢹⠂⠋⣿⣿⣿⢿⣵⣔⡀⣵⣿⣿⣿⣿⣿⢻⣧⣘⠀⡆⢻⣿⣿⢾⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠘⡗⣿⣿⣿⣯⣝⣮⡾⣶⣶⣹⢌⢛⠀⠁⡔⣿⣯⣽⣿⣯⣿⡘⣿⠙⠀⣿⣿⣷⣿⣿⡿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣿⣽⣿⡿⣿⣿⣾⢿⣷⣿⢿⠺⠉⡀⣧⡻⣿⣻⠈⡇⣻⣿⡿⣿⣽⣿⣿⣿⠃⣻⣿⣿⣿⢾⣽⣿⣿⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣻⣽⣿⣿⣿⣿⣻⣷⣿⣿⣿⣿⣾⢛⣌⣿⣿⣿⠸⣷⣹⣽⣹⣦⣆⣎⣼⢻⣿⣿⣧⢽⣮⡟⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⣿⣳⣿⣿⣿⣿⣞⣻⣽⣿⣯⣿⣿⡯⣿⡿⣿⣿⣾⣯⡝⠸⡀⠰⠁⢣⢹⡆⣿⣇⡟⣳⢿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣿⣻⣿⣯⢿⣿⣯⢷⣻⣿⣿⣿⣾⣿⣾⢿⣗⣿⡔⠱⣧⡘⠑⡇⡞⣻⣿⠏⣿⢻⣿⣷⡿⣿⣿⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⢾⣿⣯⣿⣟⣿⢿⣾⣿⣿⣻⡻⣺⡳⠢⡙⢦⠻⠫⣏⡿⡹⢿⣯⣳⣿⣿⢯⣿⣿⣿⣿⣿⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⢾⣿⣯⣟⣿⣻⣮⣪⣮⣿⢦⢝⠂⢌⡢⢵⣻⣯⣿⣿⣿⣿⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣿⣿⣻⣷⣿⣾⣿⣻⡠⠢⡉⣄⣑⣽⣿⣿⢵⣾⣟⣣⣿⡽⣿⣿⣻⡿⣿⣿⣿⣿⣿⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⢯⣳⣯⣱⢥⠗⡙⢝⠿⡛⣯⡿⣿⣷⣾⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣷⣿⡿⣻⢾⢿⢯⡺⣿⣿⡟⢯⣳⡽⣿⣯⣷⡿⣿⣿⣿⣿⣿⣿⣿⣿⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣶⣿⣿⣿⢿⣽⢿⣯⣟⣯⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣦⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣴⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣀⣤⣀⣀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀