⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠓⠒⠒⠶⠦⠤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⠚⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠳⢦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠘⣧⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⣴⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡆⠀⠀⠀⢠⡄⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢸⡀⠀⢿⡀⠀⠀⠀⠀⠀⠘⣇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠀⠀⠀⠀⣀⠀⢰⡇⠀⠀⣿⠀⠀⠀⠀⢸⡇⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⣿⠀⠀⣿⣧⠀⠸⣇⠀⠀⣧⠀⠸⡆⢹⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⣼⠏⠀⢸⠇⠀⠀⣿⠀⠀⠀⠀⣾⡇⠀⠀⣼⡇⠀⠀⠀⠀⠀⢰⡇⠀⢸⡇⢹⡄⠀⣿⡀⠀⢹⡆⠀⢻⡀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⡿⠀⢠⡆⠀⠀⠀⣰⡏⠀⢀⣿⣤⣴⣾⡿⠶⠶⢶⣴⣿⡇⠀⢀⣿⠁⠀⠀⠀⠀⢠⡿⠀⢠⡟⣀⣈⣷⠀⢹⡇⠀⠸⡇⠀⠘⡇⣇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢸⡇⠀⣼⠁⠀⠀⠀⣿⠀⠀⣼⡏⠀⣠⣿⠁⠀⠀⣰⠏⢹⡇⠀⣾⣿⠀⠀⠀⠀⣠⣾⡇⣠⡟⠋⠉⠉⢻⡷⣾⡇⠀⢀⡇⠀⠀⡇⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢸⡇⠀⣿⠀⠀⠀⢸⡇⠀⢰⣿⠃⣠⣏⡟⠀⢠⡾⠃⠀⢸⠃⣼⢃⡿⠀⠀⢀⡼⠋⣾⡷⠋⠀⠀⠀⠀⢸⣇⡿⣿⠀⣸⠇⠀⠀⢁⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢸⡇⠀⣿⠀⠀⠀⣾⡇⠀⣿⣿⣴⣿⣿⣣⣶⣿⣶⣦⣤⣿⣾⠁⣼⣃⣤⠾⠋⠀⠸⠏⠀⠀⠀⣀⣀⣠⣴⣿⣧⣿⢠⡟⠀⠀⢰⡞⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠈⣷⢠⣿⠀⠀⢰⣿⣿⣸⣿⣿⡿⠋⠛⠉⠛⠉⠉⣻⠛⠻⣿⢿⣿⠉⠀⠀⠀⠀⠀⠀⠀⣴⡿⠿⢿⣿⣿⠿⢿⣿⣿⡇⠀⢀⣿⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢹⣾⡿⣇⠀⢸⣿⡿⣿⣿⣿⡇⠀⠀⣧⣀⣤⠖⠋⠀⠀⢸⡆⠈⠃⠀⠀⠀⠀⠀⠀⠐⠃⠀⢀⣰⠏⢸⡆⠀⢹⣿⡇⢀⡾⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⢠⡶⠾⣷⣼⣿⡇⢻⣄⢸⢿⡇⠉⠘⢿⣇⠀⠀⣿⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠉⠀⠀⠸⡇⠀⢸⣿⡴⠟⢠⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⣿⢡⡶⢧⢻⡇⠀⠀⠻⣿⣸⠇⠀⠀⠀⠙⢆⠀⢻⣆⠀⠀⠀⠐⠒⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠼⠇⢀⡿⢻⡇⠀⢸⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⢹⣆⠳⡄⢻⣧⠀⠀⠀⠈⢻⠀⠀⠀⠀⠀⠈⠳⢀⣙⣷⣄⣀⣼⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⢠⡞⠀⠋⠀⣼⠀⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠻⣦⡘⠶⣿⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⠿⠂⠀⠀⢀⡿⠀⠀⣸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠈⠻⠶⣿⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⢀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⣦⠀⠀⠀⠀⣿⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⠞⠃⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⣿⠁⠀⠀⡜⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⡄⠀⠀⠀⢻⡌⠙⠛⠶⢦⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⡶⠞⠋⣸⠇⠀⠀⢰⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠸⡇⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠉⠙⡿⠻⠿⠷⠶⠶⢶⣶⠶⠶⠶⠒⠒⠒⠛⠛⠋⠉⠁⠀⠀⢰⠏⠀⠀⣴⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⣿⠀⠀⠀⠀⡇⠀⠀⠀⣀⡤⠶⠚⠻⠶⠾⢧⠀⠉⠾⠛⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⣿⡆⠀⠀⠀⡇⠀⢠⡾⠋⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣶⡄⠙⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢠⡟⢰⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡞⠁⠀⢠⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡏⣷⠀⠀⢠⡇⣰⠟⠁⠀⠀⠀⢠⡶⠀⠀⠀⢻⣄⠙⣶⡇⠀⠘⣿⣆⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⣾⠁⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡟⠀⠀⢠⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢰⡇⢹⡀⠀⢸⣿⡃⠀⠀⠀⠀⢰⡟⠀⠀⠀⠀⠀⡿⣿⣯⢧⠀⠀⢿⣘⣷⣄⠀⠀⠀⠀⠀⢸⡇⢰⡏⢼⠇⠀⠀⠀⠀⠀⠀ ⠀⢀⡿⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣟⡾⠀⢸⡇⠀⣿⡀⠉⠛⠶⠦⢤⡟⠀⢀⣀⣀⣀⣼⠃⣸⠿⣌⠷⢤⣜⣿⣉⣹⡦⠀⠀⠀⠀⠀⣿⢸⣷⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⣸⠃⠀⢀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠟⠁⠀⠀⣧⣸⣿⠙⠳⠦⣤⣄⣾⠛⣯⣉⠉⢉⡽⢤⠼⠃⠀⠈⠓⠛⢧⡴⠟⣯⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⡏⠀⠀⣼⡇⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠃⠀⠀⠀⣴⡟⠓⢻⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠸⣇⠀⠀⠀⠀⠀⠀⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠠⠀⠀⢸⢿⠁⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⢀⣿⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⢻⣆⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀ ⢠⠀⠀⡟⣾⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⡿⠀⠀⠀⠀⣸⡇⠀⣰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣻⡄⠀⢻⡄⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⢰⠃⣿⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⣼⠃⠀⠀⠀⢀⡿⠀⢸⠋⠛⠛⠓⠓⠒⠒⠒⠛⠛⠛⠛⠋⠉⠉⠉⠀⣿⡀⠈⢿⡄⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀ ⠸⡇⢸⠀⣿⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣳⡟⠀⠀⠀⠀⢸⡇⣼⣿⠶⠶⠤⣤⣤⣤⣤⣤⣤⡤⠴⠶⠶⠶⠖⠛⢛⡉⠻⣦⡈⢿⣆⠀⠀⠀⠸⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⣷⢾⠀⢻⡀⠀⠀⠀⡇⢿⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⠀⠀⠀⠀⠀⣿⣟⡟⠉⠀⠀⢠⡆⠀⠀⠀⢰⠀⠀⠀⠀⠀⢷⠀⠀⠀⠳⣄⣈⣻⣦⠹⣦⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢿⡄⠸⡇⠀⠀⢸⡇⢸⡄⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀⢿⡏⠉⠉⠓⢲⡿⠤⣄⣀⡠⢼⠶⠒⠒⣛⠓⢚⡶⠦⠴⣒⣋⣷⠤⢬⣏⣿⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⣧⠀⢻⡄⠀⢸⡇⠈⣷⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⣾⣦⣼⡟⠉⠙⠛⢛⡗⠒⠲⠶⠴⢾⠓⠒⠋⠉⠉⠙⣏⠉⠉⠉⠀⢹⣦⠬⢿⣾⠇⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠀⠘⣷⠀⢸⡇⠀⠹⣆⠀⠀⠀⠀⠀⠀⡟⠷⣦⠴⢾⣟⡿⠋⠉⠉⠙⣲⠿⠤⢤⣀⣠⡤⢼⠖⠚⠋⣉⠉⠙⢻⡒⠒⠖⠚⠉⣈⡷⠦⣾⣁⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢷⡈⣧⠀⠀⠹⣦⠀⠀⠀⠀⠀⣿⠀⢹⡄⣰⣿⣟⣋⣉⡓⠒⠛⢲⠦⠴⠲⠤⠤⢾⠓⠒⠚⣉⣉⣉⣽⡏⠙⠉⠉⠉⢁⣹⣶⠚⠿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠀⠀⠀⠙⢷⡀⠀⠀⠀⢿⠀⠀⣿⣻⠋⠁⠀⠈⠉⠉⣲⠿⠤⣤⣀⣠⠤⢾⠖⠋⠉⢉⡉⠉⠉⣻⡓⠒⠒⡋⠉⡀⠸⠶⠶⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢦⡀⠀⢸⡇⠀⠉⠙⢷⣞⠉⠓⣶⠚⠛⠦⠤⠴⠦⢤⠤⠞⡷⠲⠶⣏⠉⠙⠋⠉⠉⠓⠋⠉⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⣄⣿⡀⠀⠀⠀⠙⠷⣄⣻⡆⠀⠀⠀⠀⠀⠀⠀⢸⣷⠁⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⢀⣹⣇⢀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠳⠶⢦⡤⢦⣄⣀⣰⢧⠀⠀⠀⠀⠀⠸⣯⣝⢯⡛⠛⠟⠷⡶⠞⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⣿⣵⡶⣥⣬⣄⣈⣄⣠⡾⠀⠀⠀⠀⠀⠈⡟⢻⣿⠟⣷⠿⠶⠿⠶⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣤⣾⣏⣠⡇⠀⠈⠉⠈⣿⠁⠀⠀⠀⠀⠀⠀⢻⣾⣷⣄⣿⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢻⡏⠛⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢀⣀⣹⡿⣧⠀⠀⠀⠀⠀⠈⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣼⣧⠀⠀⠀⠀⠀⠀⢹⡏⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⠷⣦⣤⣤⣤⣤⣾⣿⡄⠀⠀⠀⠀⠀⠉⠙⠛⠛⠛⠛⠛⠛⠲⠶⠾⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀