˚₊•𓂅𓏲ʚ🥞ɞ𓂅𓏲•₊˚
⠀⠀⠀⠀⠀⠀⠀⣶⣄⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣴⣿⡄⠀⠀⠀⠀⠀⢀⡀⠀ ⠀⠀⠀⠀⠰⣶⣾⣿⣿⣿⣿⣿⡇⠀⢠⣷⣤⣶⣿⡇⠀ ⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣀⣿⣿⣿⣿⣿⣧⣀ ⠀⠀⠀⣷⣦⣀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃ ⢲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀ ⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀ ⠀⠚⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠂⠀⠀ ⠀⠀⠀⠀⠀⠉⠙⢻⣿⣿⡿⠛⠉⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠋⠁⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⣠⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣾⣿⣿⣿⣷⡀⣷⡄⠀⣰⡿⠁⠀⠀ ⠒⠲⠶⢲⣟⣿⣻⣟⣿⢿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣇⣼⠏⠁⠀⠀⠀ ⠀⠀⠀⠀⠉⠺⣷⣻⣯⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡀⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀ ⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀ ⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⢹⣿⣿⣿⣿⣿⡏⠙⠻⣿⣿⡀ ⠀⠀⣠⣶⣿⣿⣿⡿⠿⠿⠿⠛⠋⠀⠀⠀⢸⣿⣿⣿⣿⣿⠇⠀⠀⠀⠙⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠒⠠⢂⠐⠀⠐⠀⠆⠐⠀⠐⠠⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣯⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣻⢷⢻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣟⣾⡽⣿⢯⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣟⣾⣽⣻⣽⢿⣞⣻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣟⣾⣻⣾⡽⣯⣟⣿⣯⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣶⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣟⣾⡽⣷⣻⣽⣟⣾⡽⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀ ⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡿⣿⣶⣄⡀⠀⠀⠠⣴⣿⣿⣟⣾⢯⣿⣽⣻⡾⣽⣾⣻⣽⢯⣷⢿⣷⠀⠀⠀⠀⣠⣶⣾⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣯⣟⣷⡾⣿⢿⣶⣦⣴⣿⣿⣟⣾⢯⣿⢷⣯⣷⢿⣻⣾⡽⣯⡿⣿⣟⣿⣧⣤⣶⣾⣿⣿⢿⡿⣯⣷⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣞⣯⣿⣽⣿⣾⣿⣿⣿⣻⢾⣯⣟⣯⣿⢾⣽⣻⣽⣾⣻⡷⣿⣳⡿⣿⣿⣿⣷⣿⣻⢾⣻⣽⣟⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣽⣾⣳⣟⣾⢯⡿⣽⣾⣻⣟⣾⡽⣷⢯⣿⣽⣻⣞⣷⢿⣽⡷⣿⣽⣻⣽⣟⡿⣾⡽⣟⣯⣷⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⢾⣽⣻⢾⡿⣽⣟⡾⣷⢯⣿⣽⣻⣯⣷⢿⣳⡿⣽⣯⣷⢿⡷⣯⣟⣾⣽⣻⢷⣟⡿⣽⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣯⣷⢿⣯⣟⡿⣞⣿⡽⣟⣷⣯⡷⣿⡾⣿⣻⣽⡿⣾⣽⣯⢿⣯⣟⣾⢷⣻⣯⢿⣽⢿⣽⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣷⢯⣿⣞⣿⣽⢿⣯⣟⣿⣳⣯⢿⡷⣿⣻⣽⡷⣿⣻⣾⡽⣿⣞⣯⣿⣻⣽⡾⣿⣽⣻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣯⣷⣻⣽⣾⣟⣷⣻⣽⣷⣻⣯⢿⣻⣽⡷⣿⣻⢷⡿⣽⡷⣿⣽⢾⣯⣷⢿⣳⣿⣻⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⣼⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡿⣿⣦⡀⠀⠀⠀⠀⠀⠸⣿⣿⣷⢯⣟⣷⡿⣾⢯⣟⣾⢷⡿⣽⣻⣯⣷⢿⣻⣽⢿⣻⣯⢿⣷⣻⣯⣷⢿⣻⣽⣾⣿⣿⡏⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣟⣮⢿⣿⣦⠀⠀⠀⠀⠀⢹⣿⣿⢯⣿⣞⣿⡽⣟⣯⡿⣯⣿⣻⢷⡿⣾⣟⣯⣿⣻⣯⢿⣻⣾⢯⣷⢿⣻⣯⢷⣿⣿⡿⠀⠀⠀⠀⠀⣠⣾⣿⣿⣟⡿⣼⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤ ⣿⣿⣿⣛⣿⣿⣷⣷⣦⣤⣤⣀⣀⣀⠀⠀⣼⣿⣿⢷⣯⢿⣻⣮⣻⣷⡄⠀⠀⠀⠸⣿⣿⡿⣾⡽⣯⣿⣻⣽⣟⣷⣯⣟⣯⣿⢷⣯⣟⣾⡷⣿⣻⣯⣟⣯⣿⣻⣽⡾⣿⣿⣿⡇⠀⠀⠀⢀⣼⣿⣿⣟⣾⣽⣻⣷⣻⣿⣆⠀⠀⣀⣀⣠⣤⣤⣴⣾⣿⣿⣿⣿⣿⣿ ⢹⣿⣿⡿⣽⣻⡾⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⢯⣿⢾⣟⣯⢿⣿⣟⣿⣧⡀⠀⠀⣿⣿⣿⡷⣟⣿⣳⣿⣳⣿⣳⣯⢿⣽⡾⣟⣷⢿⣯⢿⣽⣷⣻⣽⣻⣾⣽⣳⣿⣿⣿⣿⠁⠀⠀⣰⣾⣿⣿⣻⣞⡿⣞⣷⣻⣷⣽⣿⣿⣿⣿⣿⣿⣿⢿⡿⣿⢿⣽⡾⣿⣿⡟ ⠈⢿⣿⣿⢯⣷⢿⣻⡾⣽⢯⣿⣻⢿⣽⡾⣯⣟⡿⣾⣟⣯⣿⣻⣞⡿⣿⣿⢿⣧⡄⢻⣿⣿⣿⢯⣷⣟⣷⢿⣳⣿⡽⣟⣯⣿⣻⣽⢿⡾⣟⣿⣞⣯⣷⣟⣷⢯⣟⣾⣿⣿⣿⠀⣠⣾⣿⣿⣟⡾⣷⣻⣟⡿⣽⣳⣯⢿⣻⣽⣟⣯⡿⣽⢯⣟⣿⡽⣿⣳⡿⣿⣿⠁ ⠀⠘⣿⣿⡿⣽⣻⣿⣽⡿⣯⣷⢿⣯⡷⣿⣽⡾⣟⣷⢿⣻⡾⣷⣻⢿⣽⣻⣿⣿⢿⣿⣿⣿⣿⣟⡷⣯⣿⣻⣟⣾⣟⣿⣽⡾⣟⣾⣟⣿⣻⣷⣻⣽⣾⣻⡾⣟⣯⣿⣿⣿⣿⣾⣿⣿⣟⡷⣯⣿⢿⡽⣯⣿⢿⣽⣯⣿⢯⣷⣯⣷⢿⣻⣯⢿⣞⣿⣽⡿⣽⣿⠃⠀ ⠀⠀⢸⣿⣿⣟⣷⣯⣿⣽⢿⣽⣯⣷⢿⣻⢷⣿⣻⣽⣟⣯⡿⣿⣽⣯⡷⣿⡽⣿⣿⣿⣿⣿⣟⣾⢿⣽⣾⣻⡾⣟⣾⣽⡾⣟⣯⣷⢿⣳⣿⣳⡿⣽⡾⣷⣿⣻⣽⡾⣿⣿⣿⣿⣟⡷⣯⣿⣻⣽⣯⢿⣟⣾⣟⣷⣻⡾⣟⣷⣟⣾⣟⣯⣟⣯⡿⣞⣿⣟⣿⡏⠀⠀ ⠀⠀⠀⢿⣿⣿⣞⣷⢿⡾⣟⣷⣻⡾⣟⣿⣻⣾⢯⣷⣯⣷⢿⣷⣻⡾⣟⣷⢿⣯⢷⣟⡿⣽⡾⣯⣿⣞⡷⣿⣽⢿⣽⡾⣟⣿⣽⡾⣟⣿⣞⣿⣽⢿⣽⣷⣻⣽⣾⣻⣽⢯⣷⣟⣾⣟⣿⣳⣿⣳⣯⣿⢾⣻⣾⡽⣷⢿⣻⣽⣾⣻⢾⡿⣽⣳⣿⣻⣿⣽⣿⠀⠀⠀ ⠀⠀⠀⠘⣿⣿⣿⢾⣟⣿⢿⡽⣷⢿⣻⣽⣷⣻⣯⣷⣟⣾⣟⡷⣿⣽⢿⡽⣿⢾⣻⣽⣟⣯⢿⣷⣻⢾⡿⣽⡾⣟⣯⣿⣻⣽⣾⣻⣟⣷⣻⣽⡾⣟⡿⣞⣯⣷⢿⣽⡾⣟⡿⣾⣻⢾⣯⡷⣿⣽⣳⣿⣻⣟⣾⣽⢿⣻⣯⣷⢿⣽⣻⣟⡿⣽⣞⣿⣿⣿⠇⠀⠀⠀ ⠀⠀⠀⡀⢸⣿⣿⣯⣿⢯⣿⢿⣽⡿⣯⣷⣟⣷⢿⣞⡿⣞⣯⡿⣷⣻⣯⢿⣟⡿⣯⣷⢿⣯⢿⣞⡿⣯⣿⣻⣽⡿⣽⡾⣟⣷⣯⡷⣿⢯⣟⣷⢿⣻⣟⣿⣽⡾⣟⣷⢿⣻⣽⡷⣿⣻⡷⣿⣻⣞⣿⣳⡿⣽⡾⣯⡿⣯⣷⢿⣯⣟⡷⣿⣻⣽⣻⣾⣿⣧⠀⠀⠀⠀ ⣀⣠⣴⣿⣿⣿⣿⣳⣿⣻⣽⡿⣞⣿⣽⢾⣻⣾⣟⣯⣿⣻⣽⢿⣽⣟⣾⣟⣯⣿⣽⡾⣟⣾⣟⣯⡿⣟⣾⣽⡷⣿⢯⣿⣻⢷⣯⢿⣯⡿⣯⣿⣻⣯⢿⡾⣷⢿⣻⣽⢿⣯⣷⢿⣻⡷⣿⣻⡷⣿⣳⣿⡽⣿⣽⡷⣿⣻⣾⣟⣾⢯⣿⣻⣽⢷⣻⣽⣟⡿⣿⣦⣄⡀ ⣿⣿⣿⣿⢿⣟⣷⡿⣷⣿⣻⢿⣻⣷⣟⣿⡿⣾⣹⢿⣾⣻⣟⣿⡾⣟⣷⣿⣻⣾⣧⡿⣿⣻⣾⣟⡿⣿⣹⣼⢿⣹⣿⢧⣿⣏⡿⣏⣧⣿⣏⣧⣿⣻⣿⣻⡿⣏⣿⣻⡿⣾⣹⣿⢧⣿⣏⣧⣿⣏⣧⣏⣿⣧⣏⣿⣧⢿⣧⢿⣹⣿⢧⣿⣹⢿⣏⣧⣿⣿⣿⣹⢿⣿ ⣿⣿⣿⡽⣯⣟⡷⣿⣟⣾⣟⡿⣽⡾⣯⣷⢿⣻⣽⣟⣯⣷⢿⣯⢿⣻⣽⡾⣯⣷⢿⣽⢿⣽⣳⣿⣻⣽⣟⣾⢿⣯⣟⣿⣳⢿⣻⢿⣽⡾⣯⢿⣞⣯⣷⣟⣿⣻⣽⡷⣿⣻⣽⡾⣿⣽⡾⣯⣷⢿⣽⣻⣾⣽⣻⣾⡽⣯⣟⣿⣻⢾⡿⣽⣯⣿⢾⣻⣞⣷⣻⢿⣿⣿ ⠛⠿⣿⣿⣯⡿⣽⡷⣿⣻⢾⣟⣯⣿⢷⣻⣟⣯⡿⣞⣿⢾⣟⣾⣟⣯⣷⢿⣻⡾⣟⣯⡿⣯⣷⢿⣽⡾⣯⣟⣿⣞⡿⣞⣿⣻⣯⢿⣳⣿⣻⣯⣟⣿⣞⡿⣾⣻⢷⣿⣻⣽⢷⣿⣻⢾⡿⣽⣾⣟⣯⣷⢿⣞⣯⣷⢿⣻⣽⣾⣻⣯⢿⣟⣾⡽⣟⣯⣿⣞⣿⣿⡿⠛ ⠀⠀⠈⠻⢿⣿⣯⣿⣳⣿⣻⣽⣻⡾⣟⣯⣿⣞⣿⢯⣟⡿⣾⣻⣾⣻⡾⣟⣯⣿⣻⣽⣟⣷⣯⣿⣳⡿⣯⢿⣞⣯⣿⣟⡷⣿⡽⣟⣿⣞⣷⢿⣾⣻⡾⣿⣽⣟⣿⡾⣽⣯⣿⢾⣻⡿⣽⡿⣞⣯⣷⢿⣯⡿⣽⡾⣟⣯⣷⢯⣷⢿⣯⣿⣽⣻⣯⢿⣳⣽⡿⠋⠀⠀ ⠀⠀⠀⠀⠈⠙⠻⣿⣿⣾⡽⣷⢿⣽⢿⣽⡾⣯⣟⣯⡿⣽⣟⣷⣯⣷⢿⣻⣽⡾⣟⣷⣯⣷⣟⣾⢯⣟⣿⢯⣿⣽⡾⣽⣻⣽⣟⣯⣷⢿⣽⡿⣞⣷⢿⣻⣾⣽⡾⣿⣽⣳⣯⣿⢯⣿⣻⣽⡿⣽⣾⣟⣷⢿⣯⣟⡿⣽⣾⣟⣯⣿⣞⣷⣯⢿⣽⣿⠟⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣯⣿⢾⣟⣷⣿⣻⣽⣯⣟⣿⢾⣻⡾⣽⣟⣯⣷⢿⣻⣷⣻⡾⣯⣟⣯⣿⣽⣻⡷⣯⣟⣿⣽⣳⣯⢿⣾⣻⢷⣟⡿⣽⣟⣿⣞⣷⢿⣻⣞⣿⣳⣿⣻⢷⣟⣷⢿⣻⣾⣽⢾⣟⡷⣿⣻⣯⣷⢯⣿⣾⡽⣾⣿⠿⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢿⣿⣿⣾⣻⢾⣽⡷⣯⢿⣾⣟⣯⡿⣟⣾⣟⣾⣟⡿⣞⣿⣽⢿⣽⣻⣾⡽⣷⢿⣯⢿⣾⡽⣯⣟⣯⣷⢿⣻⣯⢿⣟⣾⣟⣾⢯⣿⢯⣟⣷⣟⡷⣿⢯⣿⢾⣟⣯⣷⣟⣿⢾⡿⣽⣷⣻⣾⢿⣿⣿⣾⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣯⣷⢿⣻⣟⣾⡽⣷⢿⣻⡷⣯⣷⣟⣿⣻⣽⡾⣟⣯⣷⢿⣽⣟⡿⣾⢿⣞⣿⣽⢯⣿⢾⣻⣟⣾⣟⡿⣾⣽⡾⣟⣯⣿⣻⡾⣯⣿⣻⢿⣽⣻⣾⣻⣾⣽⡾⣟⣿⣽⡾⣷⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣽⡾⣯⢿⣻⣟⣯⣿⡽⣷⣻⣾⢯⣷⢿⣻⣽⡾⣟⣷⣯⣿⢯⣿⣻⡾⣯⣿⢾⣟⣯⣿⣳⣿⣻⣽⡾⣟⣿⣽⡾⣷⢿⣻⣞⡿⣯⣷⣟⣷⢿⣳⣯⢿⣻⣷⣻⣽⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⣿⣿⣟⣿⣽⢾⣟⡾⣟⣿⣳⡿⣯⣿⣻⢯⣷⢿⣻⣽⣾⣽⣻⡷⣿⣽⣟⣾⢿⡽⣷⢯⣿⢾⣽⡷⣿⣻⣽⡾⣿⣽⣟⣯⣿⣽⣟⣾⣽⡾⣿⢯⣿⡟⣯⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣾⣿⣽⣻⢿⡽⣷⣟⡿⣞⣿⣻⢯⣿⣻⢷⣻⣾⢯⣿⢷⣻⣾⢯⣿⣻⣽⡿⣯⣿⣳⣿⡽⣯⣷⢿⣻⡾⣽⣻⣞⡷⣿⣽⢾⣻⣽⣟⣯⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣽⣻⡿⣽⡾⣟⣿⣳⣿⣻⢷⣿⣻⢯⣟⣯⣿⣻⢯⣟⣿⣳⡿⣽⣻⣷⣻⣽⡾⣟⣯⣿⣻⢯⣟⣿⡽⣯⢿⡷⣯⡿⣯⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣟⣾⣻⣽⡿⣽⡿⣯⢿⣞⡿⣟⣾⣟⡿⣯⣟⣾⣟⡿⣯⣷⢿⣻⣟⣷⢯⣟⡷⣿⣻⣽⡾⣟⣿⢯⣿⣽⢿⣻⢿⣽⣻⣽⡿⡿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣳⣯⣷⣟⡷⣿⢯⣿⡽⣟⣯⣿⣻⢷⣯⣿⢷⣿⣽⣾⣿⣽⢾⣟⣿⣾⣯⣿⣯⡿⣷⣻⢷⣟⡿⣽⣻⢷⣯⡿⣯⣿⣳⢿⣳⡿⣟⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⢯⣷⣟⣾⣽⣻⣽⣿⣞⣿⣯⣷⣿⣿⣿⣿⣿⠿⠿⠿⠻⣿⣯⣿⢾⣽⣿⠟⠻⠿⢿⣿⣿⣿⣾⣿⣿⣽⣿⣾⣽⣷⣯⣟⡿⣽⣻⣽⡾⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣽⣟⣯⣷⣿⣽⣾⣿⡿⢿⠿⠟⠛⠋⠉⠉⠉⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠉⠈⠉⠉⠉⠛⠛⠿⠿⠿⣿⢿⣿⣿⣽⣷⣿⣧⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⢾⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣯⢿⣞⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣯⢿⣻⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⢿⣿⣿⣯⡿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⢾⣿⣿⡷⣿⢿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⣸⣿⣿⡿⣽⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⢿⣽⣿⢿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣟⡿⣾⣿⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣻⣽⣿⣽⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠀⠀⠁⠀⠈⠁⠀⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣽⣻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣯⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⢯⣟⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⢠⣾⣟⢣⣾⣻⣾⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣾⡟⣼⣳⣯⣷⡿⣷⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣶⣻⣽⣷⣿⣻⣿⣿⣿⣿⢹⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣾⣟⣲⣦⣤⣤⣶⣶⣼⣿⣿⣟⣿⣾⣿⢿⣻⣽⣿⣿⣾⣤⣀⡀⠀⣀⣀⣠⣀ ⠀⠘⢿⣿⣽⣫⣽⣱⢯⡿⣿⣿⣯⢿⣿⣿⣿⣿⣿⣿⢿⡻⣽⣻⣿⣿⣿⣿⣧⠇ ⠀⠀⢈⣻⣿⣿⣿⣿⣿⣿⣽⣿⣾⣿⣿⣿⣟⣿⣿⣿⣯⣿⣷⣿⣿⣿⣿⡟⠁⠀ ⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⠀⠀⠀⣉⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀ ⠀⢀⣠⣾⣯⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀ ⠲⣽⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣷⡄⠀ ⠀⠀⠈⠀⠈⠙⠛⠛⣿⣿⣿⣿⡿⢿⣿⣿⠻⣿⣿⣿⣿⠿⠿⠿⠟⠛⠛⠛⠚⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⣿⡿⠋⠁⠀⣾⣿⣿⠀⠈⠛⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⣙⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣄⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣴⣿⡄⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠰⣶⣾⣿⣿⣿⣿⣿⡇⠀⢠⣷⣤⣶⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣀⣿⣿⣿⣿⣿⣧⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣷⣦⣀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠚⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢻⣿⣿⡿⠛⠉⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠁⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣤⣀⡀⣠⣿⣿⣄⢀⣀⣠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣄⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⣠⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⣷⣄⣿⣿⣿⣿⣿⣿⣿⣿⣠⣾⣿⡆⠀⠀⠀⠀ ⠀⢶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡶⠀ ⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀ ⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄ ⠀⠉⠛⠿⣿⣿⣿⣿⣿⡿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠀ ⠀⠀⠀⠀⠀⠉⠛⢿⣿⡇⠀⣿⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢻⣿⣿⣿⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡇⢻⣿⣿⣿⡄⠀⢠⣿⣿⣿⡟⢸⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣷⠀⢻⣿⣿⣷⢠⣿⣿⣿⡿⠁⢸⣿⠇⠀⠀⠀⠀ ⠀⠀⣤⣤⣤⣤⣤⣄⣀⡀⠸⣿⣇⠀⢻⣿⣿⣾⣿⣿⡿⠁⢀⣿⡟⠀⠀⠀⠀⠀ ⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣆⠀⢻⣿⣿⣿⠟⠀⢠⣾⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠹⣿⣿⣌⠙⠻⠿⣿⣿⣿⣿⣆⠀⠹⠟⠁⠀⣰⣿⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⢿⣿⣦⣤⣄⣈⣉⣉⣁⠀⠀⠀⠀⠈⠉⣙⣛⣿⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠿⣿⣿⣿⣿⠀⣰⣆⠀⠻⢿⣏⠉⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡇⣰⣿⠻⣷⡀⠀⠉⠛⠶⠶⣤⣤⣤⠄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣴⠟⠁⠀⠈⠻⢦⣄⠀⠀⠀⣼⠏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠁⠀⠀⠀⠀⠀⠀⠉⠛⠶⣶⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀
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