Sad Face Emojis & Text

Copy & Paste Sad Face Emojis & Symbols ૮・ᵔ・ა

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡶⠶⠶⠶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠋⠀⠀⠀⠀⠀⠀⠉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣴⢿⠀⠀⠀⠀⠀⠀⢀⣀⠤⠴⠒⠒⣤⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⡶⠛⠉⠀⠀⠇⠘⠀⠀⠀⣀⠴⠚⠉⠀⠀⠀⠀⠀⣈⣳⣄⠀⠀⣠⣴⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⠋⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⠀⠀⢀⣠⠤⠒⠊⠉⠁⠉⠉⢹⡿⠋⢀⠙⣧⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⡰⠋⠀⠀⣠⡴⠚⠉⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⢀⣼⠀⢹⣶⡟⠉⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣸⣧⡀⠀⠀⠀⠀⠀⢸⡃⠀⣤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠁⠀⢠⠞⠀⢧⠀⡿⠀⢠⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡞⠁⠈⠛⣶⠶⠶⠶⢶⡞⢷⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⣠⠔⠋⠀⠀⢸⡄⠧⠀⣾⡄⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡟⢀⡄⠀⡼⠁⠀⠀⠀⣾⣷⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠚⠁⠀⠀⠀⠀⠀⡇⠀⣸⠁⠹⣄⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣷⠋⡇⢸⠃⠀⠀⠀⠀⣧⡛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⠏⠀⠀⠀⠀⠀⠀⠀⠀⡇⢀⡏⠀⠀⠘⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠃⠀⢳⣾⠀⠀⢠⣴⢯⣽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠁⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⣆⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⢿⡇⠀⠀⠀⠀⠀⠀⠀⢸⠁⣮⣄⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⠇⠀⠀⠀⠀⠀⠀⠀⡾⢀⣏⣿⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠶⠊⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢸⠃⢸⣿⡟⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠋⣍⡉⠓⠦⣀⠀⠀⠀⠀⠀⣿⣿⠇⠀⠀⠀⠀⠀⠀⢀⣏⡠⢼⣿⠃⢠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣤⡤⢿⠦⣤⣑⠢⡀⠀⠙⠒⠤⣀⠀⠸⡟⠀⠀⠀⠀⠀⠀⣠⡿⠋⠀⠈⢧⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣶⡟⠋⠁⠀⠈⠢⣹⡟⠳⣮⡳⣄⠀⠀⠀⠉⠐⠳⠤⠤⠤⠤⠖⠛⠁⠀⢄⠀⠀⠀⠙⠳⢦⣄⣀⡀⣀⣠⡤⠶⠶⢦⡀ ⠀⠀⠀⣴⠟⠉⠉⠉⠓⠦⡀⠀⠙⣇⠀⠀⠙⢶⣝⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠧⠀⠀⠀⠀⠀⢀⣩⠟⠋⠁⠀⢀⣀⡼⠃ ⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⢨⡞⠉⠻⣦⠀⠀⠀⢨⡷⣬⡳⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠋⠀⠀⣠⠴⢚⣩⡿⠃⠀ ⠀⡞⢁⣠⠶⠒⠛⠛⠒⠦⣼⡇⠀⠀⢨⣇⠀⢠⡾⠓⠛⢿⠷⣿⣖⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠁⠀⣠⠴⠊⣡⠶⠋⠁⠀⠀⠀ ⢰⡷⠋⠀⠀⠀⠀⠀⠀⠀⠈⢿⡀⠀⠀⠟⠉⢿⠁⠀⢀⡟⠀⠀⠹⣿⢮⣑⠦⢄⣀⣀⣀⣀⣀⣀⣤⠖⠋⣁⡴⠞⠁⠀⠀⠀⠀⠀⠀ ⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣰⠞⠳⠀⠀⡆⠀⡜⠀⠰⡟⠒⠲⢦⣄⣻⡀⠉⠛⢦⣤⣈⣉⣉⣉⣡⣤⠶⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⠀⠀⠀⡸⠋⠸⡅⠀⠀⡿⠀⠀⠀⠉⢻⡇⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⠖⠋⠀⠀⠀⠳⣤⠴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡤⠤⠖⠒⠒⠛⠋⠉⠉⠉⠙⠛⠓⠒⠲⠤⢤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠶⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠶⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠀⠀⠀⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡿⠀⠀⠀⢿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⡿⠹⣿⠀⠀⠀⣾⠏⢿⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀ ⠀⠀⠀⢰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣿⣿⣿⣿⠟⠋⠀⠀⢻⡇⠀⢸⡟⠀⠀⠙⠻⣿⣿⣿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀ ⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⣿⣿⣿⣿⣿⠿⠟⠋⠀⠀⠀⠀⠀⢸⡇⠀⢸⡇⠀⠀⠀⠀⠀⠉⠻⠿⣿⣿⣿⣿⣿⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀ ⠀⠀⣸⠇⠀⠀⠀⠀⠀⣀⣴⣶⣿⣿⣿⣿⠿⠟⣻⣽⣿⣶⣶⣤⡀⠀⠀⠀⠀⠀⢸⡇⠀⢸⡇⠀⠀⠀⠀⠀⠀⢀⣤⣤⣬⣉⠛⠻⠿⣿⣿⣿⣿⣶⣦⣀⠀⠀⠀⠀⠀⠘⣇⠀⠀ ⠀⠀⣿⠀⠀⠀⢀⣴⡾⠿⠟⢿⡏⠉⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⣼⡇⠀⢸⣷⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠉⢹⣿⠻⠿⠿⣦⡀⠀⠀⠀⣿⠀⠀ ⠀⠀⣿⠀⠀⠀⠁⠀⠀⠀⠀⠘⣿⡀⠀⠀⠀⣿⣿⣿⣿⠛⣿⣿⣿⣿⠀⠀⠀⣸⡿⠀⠀⠀⢿⣇⠀⠀⠀⠀⣿⣿⣿⠛⣿⣿⣿⡇⠀⠀⠀⢀⣿⠃⠀⠀⠀⠀⠈⠁⠀⠀⣿⠀⠀ ⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⣄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⣰⡿⠁⠀⠀⠀⠈⢿⣦⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⢠⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀ ⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠟⠶⣤⡈⢿⣿⣿⣿⣿⣿⠟⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠈⠻⣷⣄⠀⠈⠿⣿⣿⣿⡿⠋⢀⣤⠶⠻⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀ ⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⣹⣶⣌⣉⣉⣉⣥⣶⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣶⣤⣀⣀⣀⣤⣴⣏⡀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀ ⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠁⠈⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠀⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣶⠶⠿⠿⠿⠿⠿⠟⠛⠛⠛⠛⠛⠛⠛⠿⠿⠿⠷⠶⠶⢦⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣳ ⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⡴⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⠶⢤⣀⣀⠀⠀⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⡏ ⠸⡄⠀⠀⠀⠀⠀⣀⡤⣾⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⡤⠤⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⢤⣈⠳⣤⡀⠀⠀⠀⠀⢠⠇ ⠀⢷⡄⠀⠀⣠⡿⠋⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠊⢿⣆⠀⠀⠀⡾⠀ ⠀⠈⢻⡄⠀⠿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠟⠀⢠⡞⠁⠀ ⠀⠀⠀⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠀⠀⠀ ⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠲⠤⢤⣄⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣠⡤⠤⠶⠚⠋⠁⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢀⠁⠂⢰⠀⠉⠀⢸⡀⢳⡀⠻⣆⠙⡵⡈⢂⠀⠀⢂⠑⡀⠙⢄⠀⠀⠀ ⠀⠆⠀⠀⢸⠀⠞⡀⠈⡗⡀⢯⣄⢈⣧⠸⡡⠀⡆⠀⢛⣇⠘⠐⢋⣆⠀⠀ ⢸⡆⠀⠀⢸⡆⡛⣧⠀⠇⠐⡸⣿⣶⣤⡥⣷⣃⢨⡄⠘⠻⣂⠀⢻⢹⡄⠀ ⢸⠁⢀⡆⣾⣼⣿⠙⠕⣸⡀⠘⠏⠡⠀⠉⡁⢹⡜⢰⢠⡄⢯⠀⠈⢼⠇⠀ ⠘⠈⣼⣧⡙⢭⡆⠀⣆⠘⠁⠀⠀⠀⠄⠀⠃⠈⠃⣸⢸⣆⠸⡆⠀⠀⢃⠀ ⠀⠀⠘⣿⣿⠀⠡⠀⠀⠀⠀⠀⠀⠤⣄⢀⠰⠰⠆⡿⠙⡟⠇⠘⠀⠠⡀⣆ ⠀⠀⠀⠁⠏⡇⠀⠄⣆⢶⣿⣿⣿⣿⣶⣾⠘⢀⠘⡐⠼⠇⠀⠀⣶⠀⢱⠘ ⠀⠀⠐⠃⠐⡐⢄⠀⢸⣿⠟⠋⠉⢁⡈⢹⠀⢨⠀⡅⠀⡄⠀⠀⣤⠀⠰⡆ ⠀⠀⠀⢰⠀⠑⠢⢓⠄⠓⠀⠀⠀⠀⠉⣄⢠⠎⠀⠇⢠⠁⠐⠀⡍⠀⣴⠀ ⠀⠀⠀⠀⠐⢀⠀⠀⠈⠙⠆⢄⢀⠠⠶⠀⠀⠀⠀⠀⠆⠀⠃⡜⠀⣼⠇⠀ ⠀⠀⠀⠀⠀⠀⣠⡄⣀⡀⠀⠀⣦⠀⠃⠀⠀⠀⠀⠈⣠⠆⠜⣠⣮⠚⡠⣐ ⠀⠀⠀⠀⠀⠘⠈⠁⣀⠹⠄⢲⠄⠬⢄⠀⠀⠀⣀⠈⡿⣢⠾⢪⡧⠔⡵⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⠛⠛⠛⠛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⡿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⢿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣾⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⡆⠀⠀⠀⠀ ⠀⠀⠀⣠⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⣠⣶⣾⣿⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣶⣿⣷⣶⣄⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣆⠀⠀⠀ ⠀⠀⢠⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠙⣿⣿⣿⡆⠀⠀ ⠀⢀⣾⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡄⠀ ⠀⣸⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣷⠀ ⠀⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡀ ⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇ ⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿ ⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡏ ⠘⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠇ ⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⠿⠛⠛⠉⠉⠉⠉⠙⠛⠻⢿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀ ⠀⢸⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⡏⠀ ⠀⠀⢻⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡟⠀⠀ ⠀⠀⠈⢿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⠁⠀⠀ ⠀⠀⠀⠀⢿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡆⠀⠀⠀⠀⢀⣾⣿⣿⡿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⣿⣿⣿⣦⠀⠀⠀⠀⠀⠻⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡿⠃⠀⠀⠀⣴⣿⣿⣿⡟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣷⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣾⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣿⣷⣶⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣴⣾⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣆⣀⣀⣤⣄⣀⣀⣀⣠⣀⣀⣀⣤⡀⢀⣀⣀⣀⣀⡀⣀⠀⣤⢤⡦⢶⢤⡦⣤⠴⣦⡤⣄⡤⢴⣄⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⡓⢓⠓⠛⠘⡛⠛⠚⠛⠛⠓⡚⠚⠓⠛⠃⠃⠀⠀⠚⠒⠓⠋⠐⠚⠓⢒⠉⠓⠉⠛⠓⠛⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠖⠒⠚⠉⠉⠉⠉⠉⠉⠓⠒⠲⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠲⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡇⠀⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⣿⡇⠀⠀⢸⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀ ⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⡿⠛⣷⠀⠀⣾⠙⢿⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀ ⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣾⣿⣿⡿⠟⠉⠀⠀⢸⡆⢰⡇⠀⠀⠉⠻⢿⣿⣿⣷⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀ ⠀⠀⡏⠀⠀⠀⠀⢀⣤⣶⣿⣿⡿⠿⣿⣿⣯⣤⡀⠀⠀⠀⠀⢸⡇⢸⡇⠀⠀⠀⠀⠀⣀⣉⣛⠛⠿⢿⣿⣿⣶⣤⡀⠀⠀⠀⠀⢸⠀⠀ ⠀⢸⠃⠀⠀⡤⠾⠛⠻⣿⠉⠀⠀⣰⣿⣿⣿⣿⣿⣆⠀⠀⠀⣼⠁⠈⣷⠀⠀⠀⢀⣾⣿⣿⣿⣷⡄⠀⠀⠉⣹⡟⠛⠷⢦⡀⠀⠈⡇⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⢻⣆⠀⠀⣿⣿⣿⣭⣿⣿⣿⠀⠀⣰⠏⠀⠀⠹⣆⠀⠀⢸⣿⣿⣭⣿⣿⡇⠀⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⣻⢦⣀⠹⣿⣿⣿⣿⣿⠃⢀⣼⠏⠀⠀⠀⠀⠹⣧⡀⠈⢻⣿⣿⣿⡿⠁⣀⡴⣟⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⠀⡞⠀⠀⠀⠀⠀⠀⠀⠸⣅⠀⢈⣹⣮⣽⣛⣫⣥⠶⠛⠁⠀⠀⠀⠀⠀⠀⠈⠛⠷⣤⣌⣉⣡⣤⣎⡁⠀⢨⡇⠀⠀⠀⠀⠀⠀⠀⢳⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⠟⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠓⠦⢤⣀⡀⠀⠀⣀⠀⠀⠀⠀⠀⠀⢸ ⢸⡀⠀⠀⠀⣠⢴⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠤⠤⠤⠤⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠲⢬⡑⣤⡀⠀⠀⢀⡇ ⠀⢳⡀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣷⠀⠀⡜⠀ ⠀⠀⠳⣄⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠀⠀ ⠀⠀⠀⠘⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠳⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠞⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⠤⢤⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡤⠤⠖⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⡸⠁⠀⡎⠀⠘⠀⢾⠂⠀⠀⢾⡇⠈⢿⡄⠀⠹⣿⣦⠀⠙⣆⢣⠀⠙⡄⠀⠀⠀⠹⡄⠘⢆⠀⠀⠙⣦⡀⠀⠀⠀⠀⠀ ⠀⣰⠁⠀⢸⠀⠀⠀⠀⢨⠀⠀⠀⠸⣷⡀⠘⣿⢄⠀⢱⡙⣧⡀⠹⣆⢣⠀⠸⡄⠀⠀⢦⢣⡀⠈⢧⡄⠱⠸⠱⡀⠀⠀⠀⠀ ⢀⡧⠀⠀⠀⠀⡆⣀⠀⣸⡸⡀⠀⠀⣿⢱⠀⠸⣬⣧⡀⢣⣈⣷⡀⢹⡌⢇⠀⢱⠀⠀⠈⡞⣿⡀⠀⢻⡄⢣⢣⢱⡀⠀⠀⠀ ⣼⡇⠀⠀⡇⠀⣷⡿⡀⣿⣇⢣⠀⠀⢹⠀⢣⡀⢿⣭⣵⣄⢩⣉⡝⡄⢿⡜⡄⠘⣧⠀⠀⢡⢹⣷⡀⠀⠳⡈⣾⠸⣧⠀⠀⠀ ⣏⡇⢰⠀⡇⠀⣿⡷⢇⢹⣙⣾⣧⠀⢸⡆⠀⠱⡘⡟⣿⣿⣾⣿⣟⠛⣾⣾⣷⡀⡇⢇⠀⠸⡌⢿⢳⡀⠀⠱⣿⠀⣿⡄⠀⠀ ⣿⣧⠘⠀⣧⠀⢸⣇⣸⣿⣿⠛⢯⠳⡀⣧⠀⠀⠱⣷⠍⢉⣀⠀⠈⠁⡜⢃⣿⣇⡃⢸⡀⢠⣧⠈⣧⠳⡄⠀⠘⣆⣿⡇⠀⠀ ⡇⢸⡀⡇⡟⡄⢸⣟⣻⠿⢛⠀⠈⡇⠱⣻⠆⠀⠀⠹⠴⠊⠹⠂⢀⠤⢟⠁⣸⣿⡇⢸⡇⢸⢻⠀⢹⣇⠘⡄⠀⠈⢿⣿⠀⠀ ⢣⠀⢣⢳⣿⣿⡜⠿⣤⡴⠃⠀⠀⣇⠀⡸⠂⠀⠀⠀⠀⠀⠀⢇⠀⠀⢸⠀⠀⠱⠃⢸⡇⣼⣿⡄⠘⣿⡆⠈⢆⠀⠀⢳⠀⠀ ⠈⠀⠈⢾⣿⣿⣷⣧⠘⠳⡆⠀⠀⠉⠂⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⡆⢀⡀⢀⣿⣷⣹⣇⡿⡄⡇⢿⡀⠈⢆⠀⠀⣣⠀ ⠀⠀⠀⠀⣿⡿⣝⢿⠀⠀⢰⠀⠀⠀⣀⡠⠤⠐⠒⠉⠉⠙⠳⣦⠀⢠⠛⡇⠸⠘⡞⣿⠃⠀⣏⡰⢷⡇⠸⢧⠀⠈⢻⡀⠹⡆ ⠀⠀⠀⢠⣿⠁⣿⠸⡇⠀⠀⡇⢰⣉⣠⣤⣶⣾⣿⣿⣿⣷⣶⣬⣧⡈⠀⠅⢠⠀⢳⠘⢶⢴⣿⠀⢸⠃⠀⠘⣧⠀⠀⢳⠀⢻ ⠀⠀⠀⢸⡟⡜⠙⣄⢧⠀⠀⠀⠘⣷⣀⣻⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⠀⠀⠸⠀⠈⠇⠈⢪⠑⢄⠸⠀⠀⠀⣿⡇⠀⠈⡇⠈ ⠀⠀⠀⢸⡏⢇⠀⠹⡜⣦⠀⠀⠀⢹⣿⣿⠿⠟⠋⠉⠉⠀⠀⠀⠉⣳⠀⠀⠀⡇⠀⣰⠀⠀⣧⠀⠙⡄⠀⠀⡇⠃⠀⠀⢿⠀ ⠀⠀⠀⠈⡇⢸⠀⢄⣱⡸⠑⢄⡀⠀⢻⡉⢉⣀⡀⠠⠄⠒⠒⠶⠾⡏⠀⢀⣼⠀⠀⡟⠀⢀⡟⠀⢀⠃⠀⢸⡽⠀⠀⠀⡞⡄ ⠀⠀⠀⠀⢡⠘⡄⠀⠀⠉⠲⢏⡛⠦⡈⠉⠀⠀⠀⠀⠳⠆⠀⠀⢠⣧⠄⢼⠃⠀⢸⠃⠀⣸⠀⠀⡜⠀⠀⣾⠃⠀⢀⣿⠁⠁ ⠀⠀⠀⠀⠈⠀⠑⢄⠀⠀⠀⠀⠀⠉⠛⢶⣄⡀⠀⠀⠀⠀⢠⣤⡞⠀⠀⠀⠀⠀⠘⠀⢀⡇⠀⢠⡇⠀⣼⠏⠀⢀⣾⡟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠳⡄⠀⠀⠀⠀⠀⠀⠡⠈⠲⡤⠤⠒⠉⣰⠁⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⡘⠀⣰⠏⠀⣠⡟⡱⠁⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣢⣄⣀⡀⠀⠀⠀⠀⠀⢱⠀⠤⢊⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⢀⡼⠋⢀⡴⢋⠜⠑⢤⠀⡌ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠹⠻⠋⠉⠳⣦⣤⣤⣠⠎⢃⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⢀⢔⡿⢡⠊⣠⡶⣻⣴⡟⠀⣠⢃⡼⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠃⠀⠸⠛⠸⡴⠓⢤⣀⠀⠀⠀⠀⣀⡴⠃⣸⡿⣡⣾⠛⠋⣡⣮⡷⡾⢁⡞⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠖⠉⠁⠀⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⠤⡴⡇⠀⠀⢀⡀⠤⠐⠢⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡴⠋⠀⠀⠁⠀⡠⠒⠁⢀⡠⠤⠐⠚⢢⡴⠛⢦⠀⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠰⡁⠀⠀⠀⢠⠊⢀⡤⠊⠁⠀⠀⠀⢠⠎⢀⢤⠘⡞⠉⡇⠀⠀⠀⠀⠀ ⠀⢠⠞⠑⡦⠤⠤⡜⡴⠃⠀⠀⠀⠀⠀⠐⠁⡠⠊⠀⡇⠇⣸⢸⠀⠀⠀⠀⠀ ⠀⣏⢴⠰⠀⠀⢸⠿⠁⠀⠀⠀⠀⠀⠠⡖⠉⠀⠀⠀⠀⢰⠁⠱⡇⠀⠀⠀⠀ ⠀⠇⠸⡇⠀⠴⢮⠃⠀⠀⠀⠀⠀⠀⣜⠀⠀⠀⠀⠀⡀⡈⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠙⠀⠀⢸⠀⠀⠀⠀⠀⠀⢰⣹⠇⠀⠀⠀⠀⠇⣷⠀⢠⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⠖⢁⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⡸⢠⣿⠀⡜⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣀⠧⣕⠠⡉⠂⠄⡀⢸⠃⠀⠀⠀⣰⠗⠉⣧⠞⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⠾⠭⣀⠈⢺⠉⠪⣦⡀⠀⠁⠑⠒⠒⠈⠀⢢⡀⠈⠑⠢⢤⡤⠒⠚⢲ ⠀⡜⠁⠀⠀⠀⢱⠒⢣⠀⠈⡽⢕⢄⠀⠀⠀⠀⠀⠀⠀⠀⡠⠔⠁⡠⢔⡺⠇ ⢸⠔⠊⠉⠉⠉⢺⡀⠐⡧⠴⠋⢩⠋⠺⣖⡄⣀⠀⠀⠀⢀⡠⠔⣩⠔⠁⠀⠀ ⠏⠀⠀⠀⠀⠀⡔⠃⢀⣇⡀⠀⡗⠒⢤⣧⠉⠲⠬⠭⠭⠥⠖⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠣⠤⠊⠀⢣⡠⠃⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⡿⠿⠿⠿⠿⢿⣷⣶⣤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣾⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣷⣄⠀⠀⠀⠀ ⠀⠀⢠⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⣷⡄⠀⠀ ⠀⢠⣿⠏⠀⠀⢀⣤⣤⣄⠀⠀⠀⠀⠀⠀⢀⣤⣤⣄⠀⠀⠹⣿⣆⠀ ⢠⣿⠏⠀⠀⠀⣾⣿⣿⣿⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠹⣿⡄ ⣼⣿⠀⠀⠀⠀⠘⠿⠿⠟⠁⠀⠀⠀⠀⠀⠙⠿⠿⠟⠀⠀⠀⠀⢿⣷ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⢹⣿⠀⠀⠀⠀⠀⠀⣠⣾⠿⠛⠛⠛⠛⠻⢿⣶⣄⠀⠀⠀⠀⠀⣾⡟ ⠈⣿⣧⠀⠀⠀⠀⣼⡿⠁⠀⠀⠀⠀⠀⠀⠀⠹⣿⡆⠀⠀⠀⣸⣿⠁ ⠀⠘⣿⣧⠀⠀⠰⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠀⠀⣴⣿⠃⠀ ⠀⠀⠈⢻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡟⠁⠀⠀ ⠀⠀⠀⠀⠉⠻⣿⣦⣄⣀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣿⠟⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠿⣿⣷⣿⣿⠿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⠤⠶⠤⠴⠶⠴⠤⠤⠤⠀⠖⠶⠲⠶⠶⠶⠶⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⡿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⢠⣾⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣷⡄⠀⠀⠀ ⠀⠀⢠⣿⣿⡟⠀⠀⠀⠀⠀⣠⣶⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣷⣶⣄⠀⠀⠀⠀⢻⣿⣿⣆⠀⠀ ⠀⢠⣿⣿⡟⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⢻⣿⣿⡄⠀ ⠀⣾⣿⡿⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⢿⣿⣷⠀ ⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⠿⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⠿⠿⠟⠁⠀⠀⠀⠀⠀⠀⠸⣿⣿⡇ ⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣇ ⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿ ⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡏ ⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡇ ⠀⢿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠀ ⠀⠘⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣆⠀⠀⠀⠀⠀⠀⣰⣿⣿⠇⠀ ⠀⠀⠹⣿⣿⣦⠀⠀⠀⠀⠀⢀⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⡄⠀⠀⠀⠀⣰⣿⣿⠏⠀⠀ ⠀⠀⠀⠙⣿⣿⣧⡀⠀⠀⠀⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⢀⣴⣿⣿⠏⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⣿⣿⣦⡀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⢀⣰⣿⣿⡿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣷⣶⣶⣶⣤⣤⣶⣶⣶⣾⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠻⠿⠿⠿⠿⠿⠿⠟⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⡀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⢀⣀⡀⣀⡀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠟⠛⠿⠟⠻⠻⠟⠻⠛⠐⠛⠛⠛⠃⠀⠘⠜⠓⠋⠟⠛⠚⠛⠛⠓⠛⠟⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⠿⠛⠋⠉⠀⠉⠙⠻⢿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⠤⠴⢦⡿⢻⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠴⠚⠛⠉⠉⠙⢷⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⠟⠉⠀⠀⠀⢸⡇⠘⠁⠀⠀⠀⣀⡤⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⡀⠀⠀⣀⣤⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠉⠀⠀⠀⠀⠀⣀⣠⠴⠖⠋⠉⠉⠉⠉⠛⠻⣿⠟⠉⠀⠹⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠏⠀⠀⠀⠀⣠⡤⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠃⠀⠀⡇⠀⢹⣇⣀⣾⠛⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠁⠀⠀⣀⣴⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠀⠀⠀⣴⢳⡀⠀⣿⣿⠃⠀⠈⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⡿⣦⡀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⣠⡶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠁⠀⠀⣠⡾⠁⠈⢳⠀⢸⡇⠀⢰⡄⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡾⠋⠀⠈⠻⣷⣦⣤⣤⣤⣤⣶⠞⢿⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠋⠀⠀⣠⡴⠋⠀⠀⠀⢸⡆⠸⡇⠀⣸⣇⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⡿⠁⠀⠀⠀⣰⠏⠀⠀⠀⠀⢠⣿⣠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠞⠋⠀⠀⠀⠀⠀⠈⡇⠀⠀⢠⡟⠙⣦⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⢃⡴⣿⠁⢰⠇⠀⠀⠀⠀⠀⣼⢻⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⣿⠀⠀⠘⢧⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣯⡞⠀⢿⠀⣿⠀⠀⠀⠀⠀⢀⣽⣧⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⠇⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡟⠀⠀⠸⡆⣟⠀⠀⢀⣤⣾⡯⣭⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⣼⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠁⠀⠀⠀⠹⣿⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⢠⣇⡀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠳⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⢸⡿⣿⠀⠀⠀⣸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⣾⣧⣿⠀⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡷⢟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⣿⣿⡟⠀⠀⣸⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠿⣋⡉⠉⠓⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⢀⣀⣿⣿⠁⠀⣰⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣄⡈⠛⢦⣄⠀⠀⠙⠢⢤⣀⠀⠀⠀⠀⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠁⠀⢿⡇⣀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⡶⠾⠛⠩⡉⠛⣷⣦⣌⠳⣄⡀⠀⠀⠉⠑⠲⢤⣀⠘⣇⠀⠀⠀⠀⠀⠀⠀⣠⡴⠟⠁⠀⠀⠀⠈⢻⣯⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣶⣿⣋⠁⠀⠀⠀⠀⠙⢦⣿⡄⠙⠻⣶⣙⢶⣄⠀⠀⠀⠀⠈⠉⠙⠒⠲⠶⠶⠶⠞⠋⠉⠀⠀⠰⣄⠀⠀⠀⠀⠈⠙⠷⢶⣤⣀⣀⣀⣀⣴⡶⠾⠛⠻⠿⣦ ⠀⠀⠀⠀⣴⡿⠋⠉⠉⠉⠛⠲⢤⡀⠀⠀⠹⣇⠀⠀⠈⠙⢷⣬⡳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠧⡄⠀⠀⠀⠀⠀⠀⠀⣨⡽⠛⠋⠀⠀⠀⢀⡀⣰⡿ ⠀⠀⢀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⠖⠚⢿⣆⠀⠀⠀⠀⠉⢻⣦⣙⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠉⠀⠀⠀⣠⡤⠖⢛⣿⡏⠀ ⠀⢀⡿⠃⠀⠀⢀⣀⣀⣀⣀⡀⠀⠀⡟⠀⠀⠀⠹⣧⠀⠀⠀⢀⣿⣃⣝⣷⣌⣛⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⣀⡴⠟⢁⣠⡾⠟⠋⠀⠀ ⠀⣾⠁⣠⡶⠛⠋⠁⠀⠀⠈⠉⠛⢦⣿⡀⠀⠀⠰⣾⣄⣀⠀⣾⠟⠁⠀⢹⡿⠛⠷⣮⣛⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠚⠁⣀⡴⠟⠁⠀⠀⠀⠀⠀ ⢰⣯⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣇⠀⠀⠀⠸⡏⠉⢻⠃⠀⠀⢀⣾⠃⠀⠀⠈⣿⡷⣮⣍⠲⢦⣄⣀⡀⠀⠀⠀⠀⣀⣀⣤⠶⠋⠉⣀⣴⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⣆⠀⠀⢠⡇⠀⢸⠀⠀⣠⡾⠧⠤⢤⣄⡀⠘⣧⠀⠙⠻⢶⣄⣈⠉⠛⠛⠛⠛⠋⣁⣀⣤⡴⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⠀⠉⠀⠠⣾⣧⣤⡞⠀⠀⠁⣷⠀⠀⠀⠉⠻⢷⣿⡆⠀⠀⠀⠉⠙⠛⠛⠓⠖⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⣠⡴⠋⠀⠘⣧⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠉⡀⠀⠀⠀⠘⠷⠤⠾⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣷⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⠟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠻⣿⣷⣶⣦⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⡿⢿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⢿⣿⣿⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⡿⠛⢉⣴⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠟⠋⠀⣀⣾⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⢀⣾⣿⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠈⢻⣿⣆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢻⣿⣆⠀ ⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣿⣧⠀⠀⠀⠀⠀⠈⣿⣿⡆ ⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣷⡀⠀⠀⠀⠀⢻⣿⣿ ⠀⠀⠀⠀⣸⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣷⣄⠀⠀⠀⠈⣿⣿ ⠀⠀⠀⣰⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⠟⠀⠀⠀⠀⢹⣿ ⠀⠀⢰⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⠀⢀⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿ ⠀⣸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠀ ⠈⢻⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠇⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡟⠀⠀ ⠀⠈⢻⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⠃⠀⠀ ⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠃⠀⠀⠀ ⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⣶⣶⣶⣶⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⢿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡿⠟⠋⠉⠉⠙⠻⣿⠗⠀⠀⠀⠀⠀⠀⠀⣠⣤⣾⣿⡿⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣾⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣾⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⢿⣿⣿⣷⣦⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠻⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⡿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠉⠀⠀⠀⠀⣽⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⢻⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠃⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠏⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⠋⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣷⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠀⠀⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠃⠀⠀⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣇⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⣶⣶⣶⣾⣿⣿⣿⣿⢿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠁⠀⠀⠀⣿⣿⡶⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠛⠛⠛⣿⠛⠀⠘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡇⠀⠀⠀⠀⣿⣿⣇⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⡇⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢸⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⠀⠀⠀⠀⠀⢹⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⠟⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣦⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢿⠇⠀⠀⠀⠀⠀⠀⢸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⢿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⠟⠀⠀⠀⠀⠀⠀⠀⢿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⡠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣶⡶⠶⠶⠶⠶⢦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣤⡾⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠉⠛⠳⣶⣤⡀⠀⠀⠀⠀ ⠀⠀⠀⠠⠞⢋⣵⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣦⡀⠀⠀ ⠀⠀⠀⠀⣠⡾⠃⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠐⢶⣦⡀⠀⠀⠙⢷⡀⠀ ⠀⠀⠀⣴⣿⠁⠀⠀⠀⢀⣴⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣧⡀⠀⠈⣷⠀ ⠀⠀⣼⣿⡏⠀⠀⠀⢠⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀⢹⡇ ⠀⣸⣿⣿⡇⠀⠀⠀⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠈⡇ ⢰⣿⣿⣿⠀⠀⠀⠠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⡇ ⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢰⣶⡄⠀⠀⠀⠀⠐⣿⣷⠀⠀⠀⠀⠀⠀⢰⠀ ⣸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠘⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀ ⠸⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡏⠀ ⠀⠹⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⣰⡟⠀⠀ ⠀⠀⠙⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠋⠉⠙⠃⠀⠀⣀⣴⡾⠋⠀⠀⠀ ⠀⠀⠀⠀⠉⠻⢷⣄⣀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣶⣾⣿⠿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠿⠿⠿⠿⠿⠿⠛⠛⠙⡁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢿⡇⠀⠀⠀⠀⠀⢿⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⢸⡇⠀⠀⠀⠀⠀⢸⣿⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢸⡇⠀⠀⠀⠀⠀⢈⣷⣿⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⣼⠇⠀⠀⠀⢀⣀⣠⣿⣿⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⣿⡶⠿⠟⠛⠛⠛⠛⡟⠁⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⢻⠗⠀⠀⠀⠀⠀⠀⣇⠀⠛⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣏⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣇⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⢿⠆⠀⠀⠀⣾⠏⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠐⠂⠈⠉⠉⠉⠉⠁⠐⠂⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠔⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠢⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀ ⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠀⠀⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀ ⠀⢀⠃⠀⠀⠀⠀⠀⢀⣀⣤⣾⠿⠛⡆⢰⠛⠿⣷⣤⣀⡀⠀⠀⠀⠀⠀⠘⡄⠀ ⠀⡌⠀⠀⣀⣤⣶⠿⢟⣿⣭⡁⠀⠀⡇⢸⠀⠀⠀⣉⣛⡻⠿⣶⣤⣀⠀⠀⢡⠀ ⠀⠇⠀⠉⠁⢹⡀⠀⣿⣟⣿⣷⠀⢰⠃⠘⣆⠀⢸⣿⣻⣷⠀⢀⡏⠈⠉⠂⢸⠀ ⢀⠀⠀⠀⠀⢀⠗⠢⡻⠿⠿⣋⡴⠃⠀⠀⠘⢦⣈⠻⠿⢋⠔⠺⡀⠀⠀⠀⠈⡀ ⡌⠀⠀⠀⠀⠀⠁⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠈⠀⠀⠀⠀⠀⢡ ⡇⠀⠀⠀⠀⣀⠤⠔⠒⠒⠋⠉⠉⠉⠉⠉⠉⠉⠒⠒⠒⠤⠄⣀⠀⢀⠀⠀⠀⢸ ⠱⡀⢠⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠀⠀⠀⠀⠀⠀⠈⠐⠑⡄⠀⠌ ⠀⠑⣌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣡⠊⠀ ⠀⠀⠈⠢⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠖⠁⠀⠀ ⠀⠀⠀⠀⠀⠁⠂⠤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠤⠐⠈⠀⠀⠀⠀⠀
⠀⠀⠀⣼⠉⠀⢠⠟⢀⠠⠃⠀⢾⢺⠀⠀⠀⢼⣧⠀⠘⣿⣆⠀⠈⢻⣿⣷⡀⠀⠙⣷⡘⣆⠀⠈⢦⡀⠀⠀⠀⠀⢱⡀⠀⠳⡄⠀⠀⠈⢻⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣸⠃⠀⠀⡼⠀⢸⢸⠀⠀⢸⠐⠀⠀⠀⠘⣿⣄⠀⠘⣯⢆⠀⠀⢳⡙⢿⣆⠀⠘⣷⡘⣆⠀⠀⢷⠀⠀⠀⠰⡄⢷⠀⠀⠘⣆⢄⠐⡄⢻⡳⡄⠀⠀⠀⠀⠀⠀ ⠀⢠⠏⠀⠀⠀⡇⠀⡌⢸⠀⠀⢸⡀⡆⠀⠀⠀⣿⡿⡄⠀⠹⡏⢧⡀⠀⢳⠈⢻⣆⠀⠸⣧⠘⣆⠀⠈⣇⠀⠀⠀⢱⠸⣷⡆⠀⠘⣞⡄⠹⡌⢇⠱⡄⠀⠀⠀⠀⠀ ⠀⣞⡆⠀⠀⢀⠃⠀⡇⣸⡄⠀⣸⣇⢳⠀⠀⠀⢸⣇⠹⡄⠀⢻⣖⣳⣄⠈⢧⣤⣿⣧⠀⢹⣆⠹⡄⠀⢸⡄⠀⠀⠈⣧⢹⣿⡀⠀⠘⣷⠀⢻⡘⡄⣱⡀⠀⠀⠀⠀ ⢸⢹⠀⠀⠀⢸⠀⠀⣇⣿⣇⠀⣿⣼⡘⣆⠀⠀⠸⣧⠀⠹⡄⠘⣯⡤⠬⢦⡈⣄⣀⣁⢳⡀⢿⣦⢻⠀⠀⣿⡄⠀⠀⢹⡄⣿⣳⡀⠀⠈⢧⠈⢧⡇⢹⢧⠀⠀⠀⠀ ⡞⢸⠀⠀⡆⢸⠀⠀⣿⣿⣸⡄⢻⢋⢧⢿⣄⠀⠀⣿⠀⠀⠹⡄⢹⠿⣿⣿⣷⣌⣷⣶⠶⢿⣼⣜⣎⣧⠀⢳⢳⠀⠀⠀⡇⢻⣧⢷⡀⠀⠈⢣⣸⣸⠀⣟⡄⠀⠀⠀ ⡇⣾⠀⠀⡇⢸⡀⠀⢻⣿⠉⣷⣸⣵⣾⣿⡞⣆⠀⢻⡇⠀⠀⠹⣌⡇⠺⠿⠿⠿⠿⠿⠷⠤⠹⡿⢻⣿⡆⢸⠀⣇⠀⠀⢹⠀⢻⡎⣷⡀⠀⠀⠹⣿⠀⣾⣇⠀⠀⠀ ⣿⠹⡇⠀⡇⢸⢇⠀⢸⣿⣤⣾⣿⣿⠏⠈⢳⡘⣆⠘⣷⠀⠀⠀⠛⣯⠉⠀⣢⣤⠀⠀⠀⠀⣎⣁⠴⢿⣷⢸⠀⢸⡀⠀⡟⣾⠀⢿⡌⠱⡄⠀⠀⠙⣆⣿⢸⠀⠀⠀ ⣿⠀⢧⠀⣧⢸⠸⡄⢸⣿⣋⣻⠿⢛⡉⠁⠀⢻⠈⢧⣫⡇⠀⠀⠀⠹⠶⠚⠁⠘⡖⠀⣀⠴⢿⠁⠀⣼⣟⣾⠀⢸⡇⢠⡏⡇⠀⢸⣿⡄⠙⣄⠀⠀⠈⢿⢸⠀⠀⠀ ⢹⠀⠘⣧⢸⣼⣇⢷⠈⣿⣏⣀⣀⡟⠁⠀⠀⡏⠀⠀⢻⠆⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⢸⠀⠀⠉⠙⡏⠀⣾⡇⢸⣷⣧⡀⠀⣿⣳⠀⠈⢆⠀⠀⠈⢻⡀⠀⠀ ⠈⡇⠀⠸⣎⣿⣿⣿⣷⣡⠘⢿⢧⡇⠀⠀⠀⠻⣦⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⣇⠀⠀⠀⠀⢠⡿⣇⡟⣿⣥⣷⠀⡇⢻⣇⠀⠈⢧⠀⠀⠀⢣⠀⠀ ⠀⠀⠀⠀⠘⢿⣿⣿⣿⡿⣆⠈⠘⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡀⠀⡇⠀⠀⣀⣿⠀⢰⢦⠀⣜⣿⡟⠜⢻⡤⠃⣇⡇⠈⣿⡆⠀⠈⢧⢀⠀⢫⢇⠀ ⠀⠀⠀⠀⠀⢨⢫⠿⣼⢹⣇⠀⠀⠀⡇⠀⠀⠀⣀⣀⠤⠖⠒⠋⠉⢀⡀⠈⠉⠛⢵⡦⠀⢰⠋⣿⠀⡟⠀⣏⢻⡿⠀⠀⢻⣅⡜⢻⡇⠀⠹⢱⡀⠀⠀⢫⣆⠀⢿⡆ ⠀⠀⠀⠀⠀⣼⡼⠀⣿⠈⣿⡄⠀⠀⢸⠀⢰⡋⠉⣀⣠⣴⣶⣾⣿⣿⣿⣿⣶⣴⣀⣱⡄⡸⠀⢹⠀⡇⠀⠸⡀⠹⣦⣠⣾⡏⠀⢸⡇⠀⠀⠘⡟⣀⠀⠀⢻⡀⠈⣷ ⠀⠀⠀⠀⠀⣿⡇⡰⠙⡆⢹⡇⠀⠀⠈⠄⠸⣿⠉⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⢸⠀⠀⢣⠀⠙⣌⠻⣅⠀⢸⠀⠀⠀⠀⡇⣿⠀⠀⠈⢧⠀⠘ ⠀⠀⠀⠀⠀⡇⣇⡇⠀⢻⡏⢳⠀⠀⠀⠀⠀⢻⣿⣦⣾⣿⣿⣿⣿⣿⣿⠿⠛⠛⠛⢿⣿⠇⠀⠀⠀⠘⡄⠀⠘⡆⠀⠈⢦⠈⠳⣼⠀⠀⠀⠀⢿⢹⠀⠀⠀⡸⡄⠀ ⠀⠀⠀⠀⠀⣇⠈⣇⠀⠈⢧⡬⢳⡄⠀⠀⠀⠘⣿⣿⡿⠟⠟⢉⠀⠀⠀⠄⠀⠀⠀⠂⢈⡧⠀⠀⠀⢀⡇⠀⢠⡷⠀⠀⢸⡆⠀⠀⢳⠀⠀⠀⡎⣸⠀⠀⠀⡇⣇⠀ ⠀⠀⠀⠀⠀⢹⠀⢸⠀⣀⣈⣷⢸⠈⢣⡀⠀⠀⠹⣿⠉⠉⠀⣀⣀⠠⠤⠔⠒⠻⠿⠶⠯⡇⠀⠀⣆⡼⠀⠀⢸⠇⠀⠀⣸⠇⠀⠀⡎⠀⠀⢰⣧⡇⠀⠀⢀⢰⢹⠀ ⠀⠀⠀⠀⠀⠸⡄⢸⡀⠀⠀⠉⠓⠦⣤⠮⠷⣄⠀⠚⠓⠋⠉⠀⠀⠀⠲⣄⠀⠀⠀⠀⢸⠀⡀⢠⣿⠃⠀⠀⣿⠀⠀⢀⡟⠀⠀⢰⠃⠀⠀⡾⡼⠀⠀⠀⣜⡏⢸⠃ ⠀⠀⠀⠀⠀⠀⢳⠈⣇⠀⠀⠀⠀⠀⠀⠉⠲⢬⣑⣦⡀⠀⠀⠈⠀⠀⠀⠈⠁⠀⠀⢀⡾⠚⠁⠈⠃⠀⠀⠀⡇⠀⠀⣼⠁⠀⠀⡏⠀⠀⣰⣷⠃⠀⠀⡸⣿⠇⠠⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⡗⢤⡀⠀⠀⠀⠀⠀⣰⡷⢻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⢰⠇⠀⢠⣿⠃⠀⠀⣰⡿⡹⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠈⢳⡤⠤⠖⠋⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⡜⠀⢠⣿⠃⠀⢀⣼⠟⣰⠃⢀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⣠⠞⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⣠⡞⠀⣰⡿⠁⠀⣰⡿⢋⡜⠧⣀⠈⠀⡜ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⣿⣿⡛⠳⣦⣄⠀⠀⠀⠀⠀⡼⢧⠈⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⢀⡴⠋⢀⣴⡾⢋⣴⡏⠀⠀⣼⠁⡼⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠺⠃⠀⠋⠉⠁⠀⠀⣹⣷⣖⠒⠶⣾⣁⠸⡄⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⢩⣿⢡⠞⢀⣴⣟⣫⡶⢻⣿⠀⣠⡜⢁⣾⠁⠀ ⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⢀⠀⡀⢀⠠⠤⠀⠈⠛⠁⠀⠀⡼⠋⠀⢷⠞⠙⠲⣤⣀⠀⠀⠀⠀⢀⣀⡴⠋⠀⣾⡷⢃⣴⣿⡋⠉⣁⣴⣫⡾⣪⠏⡰⡛⠃⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⡿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠻⣿⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⠿⢛⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⡾⠟⠋⣡⣶⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣷⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠋⠀⢠⣾⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⣴⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣦⣄⠀⠀⠀⠀⠀⠙⢿⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣾⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣿⣦⡀⠀⠀⠀⠈⢿⣧⠀⠀ ⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣷⡀⠀⠀⠀⠘⣿⣇⠀ ⠀⠀⠀⣰⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣰⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣷⡄⠀⠀⠀⢻⣿⡄ ⠀⠀⣠⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⣼⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⡄⠀⠀⠀⣿⡇ ⠀⢠⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⢀⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⣿⡇ ⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇ ⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠛⠿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀ ⣼⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀ ⠸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡿⠀⠀ ⠀⢿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠃⠀⠀ ⠀⠀⢿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠋⠀⠀⠀ ⠀⠀⠀⢻⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⠿⢿⣿⣷⡆⠀⠀⠀⠀⠀⠀⢀⣠⣾⡿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⢿⣿⣿⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠁⠀⠀⠀⠀⠋⠁⠀⠀⠀⣀⣤⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣴⣾⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣶⣦⣤⣀⣀⣀⣀⣀⣀⣀⣤⣤⣴⣶⣶⣾⣿⣿⣿⣿⣿⡿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠛⠋⢹⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⢹⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣹⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠁⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣏⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠀⢠⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣹⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠃⠀⢸⣿⡇⣀⣀⣀⣀⣤⣤⣤⣶⣶⣾⣿⣿⡿⢿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠀⠀⢸⣿⡏⠻⠿⠿⠛⠛⠛⠉⠉⠉⠉⠉⡏⠁⠀⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⠀⢸⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⢹⣿⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣟⠀⠀⠀⠈⢹⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡋⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠛⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⢿⣿⣿⠄⠀⠀⠀⠀⢠⣾⣿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠈⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
😔 😭
🖤🥺👾💄🐾🍃🎮📷🎶👽😴

Related Text & Emojis

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠛⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠀⠀⣸⠛⢲⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⢸⠀⠀⡏⠀⢠⣧⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⢸⡄⠀⡇⠀⢸⠁⢹⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣸⡇⢸⡇⠀⣇⠀⢸⠀⢸⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⢻⡇⢠⡇⠀⣸⠀⢸⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢸⡇⠀⠁⠀⠘⠃⣸⡄⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⢸⡇⠀⠀⠀⠀⠀⠀⠃⢸⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⡤⠤⠶⠶⠤⣤⣀⡀⠀⣀⠀⠀⢠⠀⢀⣹⣶⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢯⣝⢲⣾⣿⡿⠏⠉⣍⠛⠿⣦⡀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡁⠘⠿⠛⢻⡏⠀⠀⠈⢿⡄⠀⠀⠀⠀⢻⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⢀⣾⠀⠀⠀⠀⢘⣧⠀⣀⣠⣴⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠘⠛⠳⢶⣄⣠⡾⠋⠉⠉⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⣰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣙⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⢀⣀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⠀⢻⡟⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡦⣄⡀⠀⢻⣇⠀⠀⠀⣴⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⠉⠛⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⣘⣷⠾⠛⠳⠮⣿⣿⣶⣶⣇⣀⢀⣀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡶⠟⠛⣋⣭⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⢠⡼⢻⣍⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠞⠋⣀⣤⡶⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠉⠓⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⢿⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠾⠋⣠⡴⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠜⠋⠀⠀⣿⠛⠛⠛⠶⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⡾⣁⡴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠛⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⣰⡟⠀⠀⠀⠀⠀⠈⠙⢳⣶⠶⠒⠚⠛⠛⠛⠓⠒⡖⠒⠒ ⠀⠀⢀⣴⢫⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣞⠉⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⣀⣾⠏⠀⠀⠀⠀⠀⠀⠀⢈⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀ ⠀⢀⡾⢱⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠉⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠀⢀⣤⡾⠟⠁⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡾⠁⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⢿⣅⡀⠀⠀⠘⣷⡀⠀⠀⠀⠀⢀⣠⣴⣿⣭⡴⠾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠞⠁⠀⠀⠙⢷⣄⠀⠀⠈⠙⠓⠶⠶⠟⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠞⠋⠀⠀⠀⠀⠀⠀⠈⣻⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
🤦‍♂️
(^~^)
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠒⠋⠉⠉⠙⠒⠦⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡇⡕⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⡇⡇⢸⢦⠤⠤⠤⠄⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢺⠘⠁⠇⢸⠀⡆⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡽⠀⠀⠀⠘⠀⡇⠀⠀⠀⠀⠀⠀⣼⡁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠼⣇⠀⠀⠀⠀⠀⡏⠉⠑⠀⠀⣠⠞⡇⠙⢦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠊⠁⠀⠀⠙⢦⠀⠀⢀⡇⠀⣀⡠⠞⣁⠜⠁⠀⠀⠙⢦⠀⠀ ⠀⠀⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠈⡗⠚⠉⠉⠛⠓⠒⠉⠁⠀⠀⠀⠀⠀⠀⠳⡄ ⠀⠀⢀⡴⠁⠀⠀⠀⠀⠀⠀⢀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⢠⠎⠀⠀⠀⠀⠀⠀⢀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⢠⠏⠀⠀⠀⠀⠀⢀⣴⠃⠀⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠀⠀⠀⠀⠀⠘ ⡞⠀⠀⠀⠀⠀⠔⠁⣀⣠⠴⠒⠚⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⢀ ⠹⢤⣀⣀⠤⠴⠒⠋⠁⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠒⠈⠉⠉⠉⠑⠢⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⢼⣦⣀⠀⠀⠀⠀⠀⠀⠀⢀⠖⠁⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠧⣾⠛⢿⣓⠺⠶⠆⠀⢀⣠⡏⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣦⡈⠑⢦⡈⠙⢝⣠⣾⠿⣿⣴⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣶⣶⣶⣦⣤⣤⣤⣀⣼⣆⡙⠶⢄⢉⠒⠢⠻⡇⡎⠁⣼⣷⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⠉⠉⡝⠙⠻⢿⣿⣿⣿⣿⣿⣿⣦⡉⠒⠐⠊⠀⠀⠀⠀⠳⣼⣏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠉⠀⠀⢰⠁⠀⠀⠀⠈⠙⠻⢿⣿⣿⡿⠱⣆⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠖⠉⠛⠒⠒⠒⠒⠂⡎⠀⠉⠉⠉⠉⠉⠉⠐⠛⠯⢷⡦⠼⣆⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀ ⠀⢀⣀⠤⢒⣉⠀⠀⠀⣀⣀⣠⠄⠀⢀⡇⠀⠀⠀⠠⠤⢤⣀⣀⣀⣀⣀⣀⣀⣀⣑⣄⡀⠀⠀⠀⣸⢧⡉⠉⠛⠛⠿⠿⣿⣿⣶⡀⠀ ⠰⣏⢳⡀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⢠⡼⣇⣀⠴⠊⠁⠀⢣⠀⢀⠀⠀⠀⠈⠻⣿⣿⣄ ⠀⠈⠳⣹⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠄⠚⠁⠀⠸⡍⠉⠀⠀⠀⠀⠀⠈⢦⠎⠀⠀⠀⠀⠀⠈⢿⡿ ⠀⠀⠀⠹⣷⠀⠀⠀⢠⠤⢀⣀⣤⠏⠀⠀⠀⠀⠀⠀⠀⠀⠤⠒⠉⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⢸⡄⠤⡤⠤⠤⠤⠄⠈⡇ ⠀⠀⠀⠀⠈⢁⡠⠤⠞⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠳⡄⠉⠉⠉⠀⠀⢠⢿ ⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠖⠀⣠⠞⠀⢀⡖⠀⣰⠂⠀⠀⠀⠀⢀⡴⠗⠀⡴⠂⣰⠂⠐⡶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⡴⠃⠀⢠⡞⠀⢠⠃⠀⠀⠀⠀⡠⠋⠁⢠⠞⠁⡴⠁⠀⣰⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⢀⠞⠀⠀⢠⠎⠀⢠⠃⠀⠀⢀⡤⠊⠀⣀⠔⠁⢀⠞⠀⠀⡰⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⢀⠎⠀⠀⣰⠋⠀⡰⠃⠀⢀⡴⠋⠀⡠⠞⠁⠀⡰⠋⠀⢀⠜⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⡞⠀⢀⡼⠁⢀⡜⠁⢀⡴⠋⢀⡴⠋⠀⠀⣠⠞⠁⠀⡰⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡏⠀⢰⠀⣠⠎⠀⣠⠊⠀⣠⠋⢀⡴⠋⠀⢀⡠⠚⠁⢀⡰⠊⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⢀⣮⡴⠁⢀⣴⢡⣠⣴⣿⠒⢾⣤⡤⢶⣏⠀⣀⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⣾⠏⠀⠀⡾⠻⠟⡏⠉⠻⡄⠀⠻⡇⠀⠈⢯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠟⠃⠀⠀⠈⠁⠀⠀⢳⡀⠀⠙⡄⠀⢱⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⢠⡤⢤⣀⠀⠀⠀⠀⢣⠀⠀⠸⡄⠀⣧⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⢸⡄⢰⣄⠁⠀⠀⠀⢸⠀⠀⠀⠁⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⢳⡎⠀⠳⡀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⢸⡷⠤⣀⣙⢦⡀⠈⣇⠀⠀⠀⠰⣄⣶⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡰⠗⠉⠉⠉⠉⠙⠓⠤⣄⡈⠙⣯⣿⣛⣦⣀⣠⢶⡿⠿⠓⠾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⢴⣿⣿⣿⣇⢈⣻⣧⡀⠀⠀⠈⠲⣀⠀⠀⠀⠀⠀⠀⠀ ⣀⡀⠤⢤⣯⣤⠤⠤⠤⠤⠤⡤⣄⣀⣀⠀⠀⠀⠀⠙⠫⠟⠉⠁⠀⠀⠱⣄⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⣿⣧⡤⠖⠒⢲⡶⣷⠒⣺⣿⣿⣿⣧⡀⣀⣤⣄⣤⣤⡤⠤⠤⣨⣦⡀⠀⠀⠀⠘⢆⠀⠀⠀⠀ ⠈⠉⠁⠀⠉⣽⣿⣤⠄⠻⠿⠿⣁⣿⣀⣀⣸⠀⠀⣹⠉⡏⢉⡿⢯⡍⠒⠢⢌⣯⡉⠑⠒⠠⢬⣧⡀⠀⠀ ⠀⢀⡤⠐⠊⠉⠁⠈⠳⢄⡀⣀⣀⡀⠀⠀⠙⢤⡀⣀⣸⠓⠻⠤⢄⣹⠶⣄⣠⠿⠛⠦⣀⠀⢀⠟⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠀⠀⠈⠳⣤⠤⢀⣉⣀⣀⣀⣀⣀⡠⠤⠒⠋⠳⣄⠀⠀⣈⠷⢅⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠈⣆⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⣀⠷⠎⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢸⡀⢻⡀⠀⢀⡀⠀⠘⡄⢀⣠⠴⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⢸⡇⢸⠁⠀⠀⡇⠀⠀⣏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢸⡇⢸⠀⠀⠀⡇⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢸⠁⢸⠀⠀⢰⡇⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢸⠀⢸⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣷⠀⠀⠀⠀⠀⣾⠀⣼⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠛⠛⠛⠓⠶⣴⠟⠉⠛⢷⠀⠀⠀ ⠀⣠⡶⠖⠲⣦⣤⠴⠖⠚⠛⠛⢿⡗⠶⢤⣄⡀⠀⢻⣄⡀⢀⣾⠃⠀⠀ ⡾⠁⠀⡠⠚⠉⠀⠀⠀⠀⠀⠀⠘⢷⠀⠀⠈⠙⠳⣄⡉⠉⠉⠀⠀⠀⠀ ⡇⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣏⠛⠷⣤⠀⠀ ⢹⠇⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠶⠶⠶⢤⡀⠀⠀⠀⠀⠘⡆⠀⠘⣷⠀ ⢸⠀⠀⢀⣀⣀⡀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠙⢳⡄⠀⠀⠀⠀⠀⠀⢸⡇ ⢸⡄⠀⠈⠁⠀⠙⢷⡄⠀⢻⣄⠀⠀⠀⠀⠀⠀⠙⣦⠀⠀⠀⡆⣠⡟⠀ ⠈⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⣶⠀⠀⠀⠀⠀⠸⡆⠀⣸⠟⠋⠀⠀ ⠀⠈⢷⣄⠀⠀⠀⠠⢤⣄⣀⠀⠀⠘⡇⠀⠀⠀⠀⠀⣿⣰⡟⠀⠀⠀⠀ ⠀⠀⠀⠙⠷⣦⣀⠀⠀⠀⠈⠉⠉⠁⢹⡀⠀⠀⠀⢠⡿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠛⠶⠦⢤⣤⣤⣤⡬⠿⠶⣤⡴⠟⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣤⣤⣤⣤⣤⣄⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⠿⠿⠛⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠉⠉⠉⠉⠛⠻⠿⢿⣿⣿⣿⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⡿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣷⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣷⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣷⡄⠀⠀ ⠀⠀⠀⠀⠀⢀⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣧⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⡿⠋⠻⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡇⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⠃⠀⠀⠀⠀⠀⢀⣼⣿⣿⡿⠁⠀⠀⠙⢿⣿⣿⣷⣶⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⢀⣾⣿⣿⠏⠀⠀⠀⠀⠀⠀⠉⠻⠿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣦⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀ ⠀⠀⠀⠀⢰⣿⣿⣿⠀⠀⠀⠀⠀⣼⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠛⠻⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀ ⠀⠀⠀⠀⠈⣿⣿⣿⡀⠀⠀⠀⢸⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠿⢿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀ ⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣷⣾⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣧⡀⠀⠀⠀⠀⢸⣿⣿⡇⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⡿⠛⠿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣷⡀⠀⠀⠀⣼⣿⣿⡇⠀ ⠀⠀⠀⠀⠀⠈⣿⣿⣷⠀⠀⠘⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⡇⠀⠀⢀⣿⣿⣿⠁⠀ ⠀⠀⠀⠀⠀⠀⢻⣿⣿⡇⠀⠀⢸⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣴⣾⣿⣿⣿⣿⣆⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⢀⣀⣴⣶⣾⣿⣿⣿⣿⡿⠿⠿⠛⠋⠉⠉⠉⠀⠈⣹⣿⣿⣧⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⠟⠋⢿⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⢸⣿⣿⡄⠀⢀⣠⣶⣾⣿⣿⣿⡿⠿⠛⠉⠉⠀⠀⠀⠀⣀⣀⣠⣴⣶⣶⣾⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⢸⣿⣿⡟⠁⠀⠀⢸⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⢸⣿⣿⣷⣾⣿⣿⡿⠿⠛⠉⠁⠀⠀⠀⢀⣀⣠⣴⣶⣿⣿⣿⣿⣿⠿⠿⠿⠛⠛⠛⠛⠻⣿⣿⣿⠀⠀⠸⣿⣿⠇⠀⠀⠀⢸⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠈⣿⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⣴⣾⣿⣿⣿⣿⠿⠿⠛⠉⠉⠀⠀⠀⠀⠀⠀⣀⣀⣠⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⠃ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠟⠋⠉⠀⠀⠀⠀⠀⣀⣀⣤⣶⣶⣾⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣶⣿⣿⣿⣿⣿⠿⠿⠛⠋⠉⠛⣿⣿⣿⠀⠀⠀⠀⢀⣠⣴⣿⣿⡿⠏⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⣿⣿⣿⡿⠿⠛⠉⠉⠀⠀⠀⠀⠀⣀⣴⣿⣿⡟⠀⠀⠀⠀⢸⣿⣿⡿⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠿⠛⠉⠁⠀⠀⠀⠀⠀⣀⣠⣴⣶⣾⣿⣿⣿⡟⠁⠀⠀⠀⢀⣿⣿⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣶⣿⣿⣿⣿⠿⠿⠻⢿⣿⣿⡆⠀⠀⠀⣸⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⡿⠟⠋⠉⠀⠀⠀⣀⣼⣿⣿⡇⠀⠀⢰⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠉⠁⠀⠀⠀⣀⣤⣶⣿⣿⣿⡿⠟⠀⠀⣠⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⠿⠛⠉⠀⠀⠀⣰⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀⣠⣾⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣸⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣶⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣶⣿⣿⡿⠋⠀⠀⠀⠀⢀⣀⣠⣴⣶⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢶⣄⠀⠀⠀⠀⢀⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡶⠶⣤⣀⠀⠀⠀⣿⠀⠙⢷⡄⠀⠀⣼⠃⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣄⠀⠉⠛⠶⣤⣿⣆⠀⠀⠙⢦⣤⣿⠀⠀⠈⢷⡀⠀⢤⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⠲⠶⠦⣄⣀⠀⠈⠿⣷⣤⠀⠀⠀⠙⠛⠂⠀⠀⠀⠙⢿⡀⠀⠀⠈⢧⡀⠘⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠀⠘⠦⡴⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠲⠶⠶⠶⣶⡤⠤⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢬⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⠤⢾⡇⠀⢀⡴⠖⠲⣦⣀⣠⠤⠤⠤⢤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢸⠁⠀⠀⠈⠉⠀⠀⠀⠀⠀⠈⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣤⣼⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠯⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠋⠉⢿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣷⣄⠀⣠⣶⠶⠖⠒⠚⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀ ⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡆⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣀⡴⠃⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡿⠟⠁⠙⠲⠤⣤⡤⠄⠀⠀⠀⠀⣀⡤⠒⣶⢦⡀⠀⢠⠟⠉⠉⠉⠁⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⠋⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣤⢶⣟⢉⣣⡀⣸⣼⠃⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣦⣀⠹⢧⣸⣥⣽⣯⠽⠿⠟⠛⠋⠉⠉⠉⠉⠁⠀⢠⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣶⣶⣤⣤⣄⣀⣀⣀⣀⣀⣀⣠⡤⠀⠀⠀⠉⠙⠻⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠹⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣧⣀⣤⣄⠀⠀⠀⠀⣀⣴⣾⣿⣦⣸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠻⢦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠋⠉⠀⠀⠀⠀⠀⠀⠉⠳⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢺⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠰⢿⡳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠉⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡧⣴⡗⠮⣝⡓⠲⠿⣟⡲⠆⠀⠀⣀⣼⠁⠀⣴⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣆⡈⠛⢦⣀⠩⠓⢾⡲⠄⣠⣶⣿⣯⣇⣤⣞⣻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠍⠳⣄⡀⠈⠳⣄⡀⠙⢾⣿⠋⣩⠿⠛⣿⠋⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣦⣤⣿⡷⣄⡘⠛⠲⠄⣀⠉⠙⠉⠙⡆⡏⠀⢴⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋⠉⠀⣸⠉⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠙⠶⠶⠆⠁⠀⠀⠀⠀⠘⠻⣼⣿⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠛⠁⠀⠀⢠⠏⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⣿⣿⣷⡝⣢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⣺⠏⣁⣀⣀⣀⣀⡀⣾⠀⣠⠤⠤⠤⠤⠤⠤⠤⣉⣛⣿⠿⢏⠁⠙⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣤⠚⠁⠀⠈⠉⠉⠉⠉⠉⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠚⠿⠒⠚⠷⣄⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀ ⠀⠀⢀⣠⣤⠶⠋⠁⠀⠀⠀⠀⠀⠀⣀⣠⡄⠀⠀⢰⠇⠀⠀⠀⠀⢀⣤⣤⣤⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⢈⣷⣤⡤⠬⠽⠟⠛⠿⢿⢿⣿⣿⣿⣦⠀⠀ ⢠⣶⠟⢷⡄⠀⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⢉⡉⣉⣹⡇⠀⢀⣠⠖⠋⠀⠘⡆⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣧⠀ ⠀⠈⠳⣎⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠞⠋⠀⣿⠥⠷⠚⠁⠀⠀⠀⠀⠀⠹⡀⢠⡖⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿ ⠀⠀⠀⠘⣦⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠊⠁⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡏⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡟ ⠀⠀⠀⠀⠈⢿⣧⠀⠀⠀⠀⣴⠤⣤⣀⣠⣤⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣤⠤⠴⠶⠤⠤⠤⠄⠀⢸⠁ ⠀⠀⠀⠀⠀⠈⠹⠂⠀⣀⣠⡿⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠈⠉⠉⠙⠒⠀⠀⠀⢸⣦ ⠀⠀⠀⠀⠀⠀⠀⠸⠏⠀⠀⠀⠀⠀⠀⠺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠇⠀⠀⠀⠀⠀⠀⠐⠋⠐
⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⡀⠀⠀⠀⠀ ⠀⠀⠀⣰⢻⢸⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⢰⢩⢦⠀⠀⠀ ⠀⠀⢠⢹⢸⢸⢸⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡇⡄⡘⠸⠀⠀⠀ ⠀⠀⢸⠸⠘⠈⢼⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⠀⠁⠀⠀⠀⠀ ⠀⠀⢸⠀⠀⣠⢾⣟⡶⣴⠶⠚⠉⠉⠉⠉⠛⢷⠾⢭⠑⣆⠀⢀⡄⠀⠀ ⠀⠀⠘⠢⠤⣇⣀⠧⡴⠁⠀⠀⠀⠀⠀⠀⠀⠈⠃⠚⣤⡼⠒⠊⠁⠀⠀ ⠀⠀⠀⠀⠀⢨⣟⡺⡇⠀⡰⠀⢀⠲⡄⠈⡇⣀⢀⢨⠿⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⣟⡿⠦⠷⢴⣏⢔⡾⡛⠋⠙⠻⢿⡦⢄⡀⠀⠀⠀⠀ ⠀⠀⢀⠴⣪⠕⠊⠁⠀⠀⠀⡏⠙⠀⠀⣱⡀⠀⠀⠀⠈⠑⠪⣷⣄⠀⠀ ⠀⣴⡕⠉⠀⠀⠀⠀⢀⣴⠊⠁⠀⠀⢠⠏⢸⡷⢄⡀⠀⠀⠀⠈⢻⢦⠀ ⡼⠙⠀⠀⠀⢀⡠⠚⢅⠘⠤⡤⠤⠒⠁⠀⠈⠀⠀⠙⢦⣄⠀⠀⠀⠈⡆ ⠣⢄⣀⣀⠔⠋⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠈⠓⠂⠀⠚⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠆⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣶⣄⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⢸⡏⠈⠻⣷⡄⠀⠀⠀⠀⣿⡏⠙⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡀⠉⠛⠷⣦⣀⡀⠀⢸⣧⠀⠀⠈⠻⣦⡀⠀⢸⣿⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣄⠀⠀⠀⠉⠻⢷⣾⣿⣇⠀⠀⠀⠘⢿⣦⣼⣿⠀⠀⠀⠈⢿⡄⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠻⠿⠶⣤⣤⣀⡀⠀⠀⠹⣿⣷⣄⡀⠀⠀⠀⠈⠛⠻⠇⠀⠀⠀⠀⠙⠿⣿⠀⠀⠀⠀⠈⢿⡀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠒⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠻⡄⠀⠹⣄⣀⣀⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⠦⠤⢤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠉⠀⣠⣤⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠛⠛⣿⠷⠶⠶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣏⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣼⡇⠀⠀⢀⣠⣤⢤⣄⡀⠀⠀⠀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠘⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠋⠉⢹⠇⠀⠀⣾⠋⠁⠀⠙⠿⡷⠞⠋⠉⠁⠈⠉⠙⢻⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣇⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⡀⣀⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⠟⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠾⠟⠛⠛⣷⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣦⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣠⣴⣿⡛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⡇⠀⠀ ⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣷⡄⠀⣼⡿⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀ ⢀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠁⠀⠀⠀ ⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠙⢦⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⢀⡤⢤⣤⣄⡀⠀⠀⠀⣰⠟⠛⠛⠛⠋⠀⠀⠀⠀⠀ ⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠈⠉⠛⠉⠁⠀⠀⠀⢀⣠⡴⠞⣿⠁⠀⢻⠈⣿⠀⠀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⡏⠀⠀⢠⣴⡶⢶⣤⢤⣤⣤⣤⣤⣤⣴⣾⣛⣻⣧⣠⣼⣧⣤⣼⠿⠃⠀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣦⣄⠈⠿⣦⣠⣧⣤⣽⣯⡽⠿⠓⠚⠋⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⣼⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣶⣦⣤⣈⣉⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠘⠉⠛⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠛⠛⠛⠋⠉⠉⠀⠀⠀⠀⣀⣤⣤⡀⠙⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣶⣴⣿⣷⣤⣀⡀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣶⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⠻⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⡴⠶⠶⠶⠖⠒⠒⠒⠶⠶⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣴⣾⣿⣛⣉⣉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⡿⠟⠛⠛⠛⠉⠉⠉⠉⠉⠉⠙⠛⠛⠛⠻⠶⠶⣦⣤⣤⣤⣤⣤⣶⣿⣿⣿⣾⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠛⢻⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣍⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠛⠛⠛⠉⢻⣿⡿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣅⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⠶⠶⣮⣤⣄⠀⠀⠀⢻⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⡿⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠿⠛⠁⠀⠈⠻⣦⡀⠀⠀⢟⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⠘⣧⠻⣿⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣴⣿⣛⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⡄⠘⢷⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣿⣿⢿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣻⣆⠈⢻⣿⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣿⠃⠛⠁⠀⠀⠀⠀⣠⡶⠿⠛⠋⠉⠙⠻⠶⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⣀⣀⣤⣤⣶⣶⣶⣶⣶⣾⣿⣿⠿⠛⢿⣆⠀⠸⣿⡀⠀⠀⠀⠀⠀ ⠀⠀⢠⣾⡟⠀⠀⠀⠀⠀⣰⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠈⣷⣶⠿⠛⠋⠉⠉⠉⠀⠀⠀⠀⠀⠈⠻⠿⣶⣾⣿⡄⠀⢻⣷⡄⠀⠀⠀⠀ ⠀⠀⣿⣿⡇⠀⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⣀⣀⣴⣿⠟⠁⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠈⢻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⡇⠀⠀⢿⠻⣆⠀⠀⠀ ⢰⡇⠀⣿⠃⠀⠀⠀⠀⡏⠀⠀⠀⣀⣤⣤⣶⣿⣿⡟⠉⠀⠀⠀⠀⣿⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠇⠀⠀⢸⡇⢻⣆⠀⠀ ⢸⡇⣼⠇⠀⠀⠀⠀⠀⣷⣶⣿⣿⣟⣉⣉⣠⣾⠟⠁⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⢦⣀⣀⣀⣀⣀⣀⣀⣀⣀⣴⠿⠉⠀⠀⠀⠘⣿⡄⢿⡆⠀ ⢸⣷⣿⠀⠀⠀⠀⠀⠀⢸⡇⠈⠉⠉⠛⠛⠋⠁⠀⠀⠀⠀⢀⣾⠋⠀⠀⠀⢀⣠⣤⣤⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠘⣿⡼⡇⠀ ⢸⣿⣿⠀⠀⠀⠀⠀⠀⢰⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⢀⣤⣶⣟⠉⠀⠀⠀⣿⡉⠉⠉⠛⠳⢶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡁⠀ ⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠻⣷⣄⠀⠀⠀⠀⠀⢀⣴⡿⠃⠀⠀⢠⡿⠋⠀⠹⣷⡀⠀⠀⣿⠿⠶⣤⡾⠂⠀⠈⠛⠷⣦⣄⣠⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀ ⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠶⠶⠶⠶⠿⠋⠀⠀⠀⣴⣿⣇⠀⠀⠀⠙⣿⠶⣤⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠷⡍⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀ ⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⢠⣽⣧⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⢸⡇⠀ ⢸⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⣩⡿⠙⠿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⠀⠀⠀⠀⠀⢸⣷⠀ ⢸⣧⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠠⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡄⠀⠀⠀⠀⠀⣿⠀ ⠸⣿⠙⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠉⠁⠙⢷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⣿⠀ ⠀⢻⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠛⠷⠦⠼⠃⠀⠀⠀⠀⠀⠙⣷⡀⢸⡿⠛⠳⣦⡀⠀⣿⠀⠀⠀⠀⠀⣿⠀ ⠀⢸⡄⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠉⠻⣿⡇⠀⠀⠈⠻⢀⣿⠀⠀⠀⠀⠀⢿⠀ ⠀⠸⣷⡀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⠀⠀⠀⠀⠀⣠⣤⠶⢶⣄⣸⡏⠀⠀⠀⣸⠁⠀⠀⠀⣀⣼⡇⠀⠀⠀⠀⠀⢸⡀ ⠀⠀⠹⣷⣼⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⣸⡟⠁⠀⠀⠻⠋⢀⣠⠴⠾⠿⠷⠖⠚⠛⠋⠉⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠈⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⠤⣤⡄⢀⣿⠀⠀⠀⢀⣤⡾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠀ ⠀⠀⠀⠀⠈⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠀⠀⠀⠀⠀⠀⠀⠀⣰⡾⠋⠀⠀⠈⢿⣼⠏⠀⣀⣴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠏⠀ ⠀⠀⠀⠀⠀⢿⡟⢻⣦⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠃⠀⢀⣤⠶⢶⣄⠀⢠⡿⠁⠀⠀⠀⠀⠀⣹⣷⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠇⠀⠀ ⠀⠀⠀⠀⠀⠘⣷⠀⠹⣧⣀⠀⠀⠀⠀⠀⠀⣾⡀⠀⡴⠟⠁⠀⠀⠙⢷⣿⠁⠀⢀⣤⣴⡶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⣇⠀⠈⠛⠿⢶⣄⡀⠀⠀⠈⠙⠛⠷⠶⠦⢤⣤⣤⣤⣤⣤⡾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢿⣄⠀⠀⠀⠀⠈⠛⠷⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣶⣶⣤⣤⣀⡀⠀⣠⣶⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠉⠀⠀⠀⠈⠉⠙⠻⣿⣿⠋⠀⠀⠀⠙⣿⡆⠀⠀⠀⠀ ⠀⠀⠀⣠⣴⣶⣶⣶⣦⣄⣀⣀⣀⣤⣤⣶⠶⠶⠶⠶⢾⣿⣷⣶⣦⣄⣀⠀⠀⠀⠀⠀⢿⣧⠀⠀⠀⠀⠀⣼⡿⠀⠀⠀⠀ ⠀⣠⣾⠟⠋⠁⠀⢀⣨⣿⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠈⣿⣧⠀⠉⠙⠛⠿⣶⣤⣀⠀⠈⠻⣿⣦⣤⣴⣾⠟⠁⠀⠀⠀⠀ ⣰⡿⠁⠀⠀⢀⣴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣇⠀⠀⠀⠀⠀⠉⠻⢷⣤⡀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀ ⣿⠁⠀⠀⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣶⣶⣶⣦⣄⡀⠀⠀⠀⠀ ⢿⡆⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡄⠀⠉⠛⢿⣶⡀⠀⠀ ⠈⣿⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣶⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡄⠀⠀⠀⠻⣿⡄⠀ ⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠟⠉⠀⠀⠀⠉⠙⠻⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⢻⣿⠀ ⠀⣿⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⢰⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⢈⣿⠇ ⠀⣿⡀⠀⠀⠐⠿⠛⠛⠛⠻⢷⣦⡀⠀⠀⠘⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡄⠀⠀⠀⠀⠀⢸⠀⠀⠀⣼⡿⠀ ⠀⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡄⠀⠀⠹⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣆⠀⠀⠀⠀⣸⠀⢀⣼⡿⠁⠀ ⠀⠸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢷⣦⡤⡀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⢀⣿⣷⠿⠋⠀⠀⠀ ⠀⠀⠹⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⢀⣾⡿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⣿⣦⡀⠀⠀⠀⠀⠀⠀⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣀⣾⣿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⣿⣶⣀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠷⠶⠶⠦⠤⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀⠀⢀⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⣷⣶⣤⣄⣀⣀⣀⣀⣀⣀⣀⣈⣿⣷⣤⣄⣀⣀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠙⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⡾⠶⠶⠶⠛⠛⠲⠶⠶⢶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣥⣼⠟⠷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠏⡏⠀⣴⡟⠛⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢿⠀⡇⠀⣿⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⢸⠀⡇⠀⡇⠀⠀⠀⣿⣦⣤⣄⣀⣀⣀⣀⣀⣤⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠸⡄⣧⠀⡇⠀⠀⢸⡟⠀⣿⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⢿⣿⠀⢷⠚⠀⢇⠀⠀⢸⠁⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡀⣿⠀⠀⠀⠀⠘⠀⠀⢸⡀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⢱⣿⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠉⠉⠉⠛⢦⡀⠀⠀⠀⠀⠀⢀⣴⡟⣿⡍⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠿⠻⠿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠙⠀⠀⠀⢀⣴⡿⠋⢠⣿⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠋⠁⠀⠀⠀⠈⠙⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠀⢠⣾⠁⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣧⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⣀⣤⣶⠟⠉⠀⣀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⣀⣠⣤⣶⡾⣿⣶⣶⣶⡾⢟⣋⣉⣀⣤⡶⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡏⠉⠁⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣦⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣇ ⠀⠀⠀⠀⠀⠀⢠⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠀⠀⠀⣤⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿ ⠀⠀⠀⢀⣼⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⢠⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⢠⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡟⠁⠀⠀⠈⢳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⢹⠁⠀⠀⠀⠀⠀⠉⠻⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣾⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠛⠁⠀⠀⠀⠀⣀⣠⣤⣶⠾⠿⠿⠛⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⢀⣠⣤⡾⠿⠛⠋⠁⠀⠀⠀⠀⠀⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠸⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣶⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⢙⠻⠷⣶⣤⣤⠶⠶⠾⠛⠛⠋⢉⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣀⡀⠀⣠⡄⠀⡀⣠⠄⠀⣤⡄⠀⠀⠀⠀⠀⠀⠀⢀⣤⣄⡀⢠⣤⠀⣤⠀⢀⣠⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⢀⡼⠋⠀⠀⣰⠏⠀⢀⡟⠁⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⣸⠏⠀⣼⠃⠀⠀⣿⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠀⠀⢠⡞⠁⠀⠀⣴⠏⠀⢀⡞⠀⠀⠀⠀⠀⢀⣰⠚⠀⠀⢠⠞⠁⢀⡞⠁⠀⠀⣴⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⣰⠋⠀⠀⠀⣴⠃⠀⢀⡞⠀⠀⠀⠀⢀⡤⠊⠀⠀⣀⡴⠋⠀⣠⠟⠀⠀⠀⣴⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠏⠀⠀⣴⠃⠀⠀⢀⡼⠁⠀⢠⡞⠀⠀⠀⢀⡴⠋⠀⠀⣠⠞⠋⠀⢀⡴⠋⠀⠀⢀⡞⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⣰⠃⠀⠀⢠⡞⠁⠀⣠⠎⠀⠀⢀⡴⠋⠀⢀⡤⠞⠁⠀⠀⣠⠞⠁⠀⠀⣰⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⢰⠇⠀⠀⣰⠏⠀⠀⣴⠋⠀⢀⡴⠋⠀⢀⡴⠋⠀⠀⠀⣠⡾⠉⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⡞⠀⢀⡾⠁⠀⢀⡞⠁⠀⣠⠞⠁⢀⡴⠋⠀⠀⠀⣠⠞⠋⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⢸⠇⣰⠏⠀⠀⡰⠋⠀⠀⣼⣷⡤⣤⡟⢁⣀⣠⣴⠛⠁⠀⢀⡤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⣠⣾⡼⠃⠀⢀⣾⣷⣼⣿⠿⢿⣽⡀⠈⠻⣽⡏⠉⠙⢶⡴⠚⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⣿⠿⠀⠀⢀⣿⠋⠉⠁⢿⠀⠀⠻⣧⠀⠀⠹⡇⠀⠀⠀⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠛⣆⠀⠀⠈⢷⠀⠀⠸⡄⠀⠀⠀⢱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠈⣧⠀⠀⣳⡀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⢠⡏⠁⣬⠙⠲⡄⠀⠀⠀⠀⣷⠀⠀⠀⠘⡆⠀⠙⠋⠀⠀⠐⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠘⢿⡀⣻⠳⣦⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠘⣷⡇⠀⠈⢦⡀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⢹⣧⣀⠀⠀⠳⣆⠀⠀⢸⡆⠀⠀⠀⠀⠰⡄⢰⣄⡷⣻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣇⠤⠶⠶⠶⠶⠦⢼⣇⡈⠉⠙⠲⠮⣟⠶⣾⣷⣄⠀⠀⢀⣠⣼⠞⣿⣯⣙⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠦⣄⡀⠘⢷⣿⡦⢿⣷⠶⣿⣱⣿⠋⠉⠀⠉⠳⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣿⣿⣹⣿⣿⣆⣀⣼⠿⢦⠀⠀⠀⠀⠀⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⣀⣀⣀⣀⣾⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠙⢮⡿⠟⠉⠁⠀⠀⠈⢳⡀⠀⠀⠀⠀⠈⠱⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠉⠉⠀⠀⢸⣧⣶⣂⣀⣀⣀⣀⣀⣠⣦⣌⢭⢽⣯⣷⣖⣶⣆⠀⠀⠀⢀⡀⠀⣀⣀⣀⣀⡀⠀⠙⣆⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀ ⠀⣠⣤⠤⠔⠚⣿⢿⣿⣇⠀⠀⢀⣿⣁⣼⣥⠤⣼⠗⠛⠛⢻⠟⠲⠤⣶⠯⣵⣾⣿⣓⠦⣤⣉⠙⠛⠛⢷⢤⣤⣀⡀⠀⠀⠹⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⣿⣽⣦⡔⠛⠛⠻⠿⠦⠤⠷⠤⠦⣤⡾⠀⠀⠀⡿⢀⡆⢀⣴⠛⠻⣦⡀⠉⠓⠦⢬⣧⡀⠀⠉⠙⠒⠦⢽⣤⠀⠀⠀⠀ ⠀⠀⠀⢀⡤⠶⠚⠉⠉⠀⠈⠳⢦⡀⠀⠀⣀⡀⠀⠀⠀⠀⠳⣄⠀⠀⢁⣹⠿⠾⠧⣄⣀⣈⣻⠦⡀⢀⣠⠿⠛⢦⡀⠀⠀⢀⣼⠉⠑⠀⠀⠀ ⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⡿⠉⠉⠉⠙⢦⣄⠀⠀⠈⠛⠋⠉⠉⠀⠀⠀⠀⠈⠉⣁⣠⠿⢻⣅⠀⠀⠀⠉⠳⣤⠞⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠁⠀⠀⠀⠀⠀⠙⣏⠉⠛⠛⠓⠒⠒⠒⣶⠒⠒⠛⠉⠁⠀⠀⠀⠈⠳⣄⣀⡴⠚⠁⠙⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⢀⠀⠘⡇⠀⠀⠀⠀⠀⠀⢿⣄⠀⠀⠀⠀⠀⠀⢀⣠⠴⠛⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⢈⣇⢸⢹⡀⠀⠀⢀⠀⠀⠀⢻⠀⠀⢀⣤⠖⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡟⠀⠀⠀⠀⠀⠀⢸⣿⢸⢸⠃⠀⠀⢸⡆⠀⠀⢘⡟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢸⣿⠸⢸⠀⠀⠀⢸⡇⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠸⣿⠀⢸⠀⠀⠀⢸⡇⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⢸⠀⠀⠀⣿⡁⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢸⠀⠀⠀⠉⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⣠⠇⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠃⠀⠀⠀⠀⠀⠀⠿⠓⠐⠟⠀⠀⠀⠀⠀⠀⠀⠀⠻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⣤⣤⣤⣀⡀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠟⠋⠉⠉⠉⠙⠛⠻⠿⣿⣶⣾⣿⡿⠋⠉⠉⠉⠻⣿⣿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣼⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡿⠀⠀⠀⠀⠀⠀⠈⣿⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣶⣤⣀⣀⣀⣤⣶⣶⡿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣷⣶⣤⣀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡀⠀⠀⠀⠀⠀⣰⣿⡿⠀⠀⠀⠀⠀ ⠀⢀⣴⣿⡿⠛⠉⠀⠀⠀⢀⣬⣿⡿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡄⠀⠈⠙⠛⠻⢿⣷⣦⣄⡀⠀⠀⠈⢿⣿⣷⣤⣤⣤⣾⣿⠟⠁⠀⠀⠀⠀⠀ ⢠⣿⡿⠋⠀⠀⠀⠀⣀⣴⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡄⠀⠀⠀⠀⠀⠈⠙⠻⣿⣶⣄⠀⠀⠉⠛⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀ ⣾⡿⠁⠀⠀⠀⢠⡾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣷⣦⣄⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⠿⠿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀ ⢿⣇⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡀⠀⠀⠙⠻⣿⣷⣄⠀⠀⠀ ⠘⣿⣤⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀⠈⢻⣿⣧⠀⠀ ⠀⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⡿⠟⠛⠛⠛⠿⢿⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⠀⠀⠀⠀⠀⢹⣿⣧⠀ ⠀⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀⣿⣿⡄ ⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⢸⣿⡇ ⠀⣿⡇⠀⠀⠀⠀⢰⣾⡿⠿⠿⠿⢿⣷⣤⣀⠀⠀⠀⠀⠸⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⣿⣿⠀ ⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣷⣀⠀⠀⠀⢿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣦⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⣼⣿⠏⠀ ⠀⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠏⠀⠀⠀⠈⠻⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣧⠀⠀⠀⠀⠀⢸⣿⠀⣠⣾⣿⠋⠀⠀ ⠀⠀⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣷⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣆⠀⠀⠀⠀⣾⣿⣿⡿⠛⠁⠀⠀⠀ ⠀⠀⠘⢿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡀⠀⠀⣴⣿⡿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⢿⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⣰⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠶⢶⣶⣦⣤⣀⣀⠀⠀⠀⠀⠀⠀⠸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⣼⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠻⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠿⠷⠶⢶⡶⠖⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣷⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⣄⠀⠀⠀⠀⠀⠀⣀⣾⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠿⣿⣷⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣶⣦⣤⣶⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠉⠉⠉⠁⠉⠉⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣴⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⡿⠿⠛⠛⠛⠉⠉⠉⠉⠛⠛⠛⠻⢿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣷⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣾⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣧⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⣿⣿⠋⠀⠀⠀⠀⠀⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣷⡀⠀⠀ ⠀⠀⠀⠀⢰⣿⣿⠃⠀⠀⠀⠀⠀⠀⣼⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣷⡀⠀ ⠀⠀⠀⠀⣿⣿⠇⠀⠀⠀⠀⠀⢠⣾⣿⡿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣧⠀ ⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⣠⣿⣿⠏⠀⠙⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⠀ ⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⣰⣿⣿⠃⠀⠀⠀⠈⠙⠿⣿⣿⣿⣷⣶⣶⣶⣶⣤⣤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡆ ⠀⠀⠀⣾⣿⡇⠀⠀⠀⢰⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠛⠛⠛⠿⠿⠿⠿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⣿⣿⠀ ⠀⠀⠀⢸⣿⣷⣤⣤⣀⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣦⡀⠀⠀⠀⢀⣿⣿⠀ ⠀⠀⠀⢸⣿⣿⡿⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣷⡀⠀⠀⢸⣿⣿⠀ ⠀⠀⠀⠀⣿⣿⡆⠀⠹⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣀⡀⠀⠀⠀⠀⠀⢹⣿⣧⠀⠀⣸⣿⡏⠀ ⠀⠀⠀⠀⢹⣿⡇⠀⠀⢿⣿⣷⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣴⣶⣾⣿⣿⣿⠿⠿⠿⣿⣿⡆⠀⠀⠀⠀⠈⣿⣿⣶⣿⣿⣿⣷⡄ ⠀⠀⠀⠀⢸⣿⣿⠀⠀⢸⣿⣿⠀⠀⠀⣀⣴⣶⣿⣿⣿⠿⠟⠛⠉⠉⠀⠀⢀⣀⣠⣼⣿⣿⣤⣄⡀⠀⠀⣿⣿⣿⠋⠀⢹⣿⣿ ⠀⠀⠀⠀⢸⣿⣿⠀⠀⠘⣿⣿⣦⣶⣿⣿⠿⠛⠋⠁⠀⠀⣀⣠⣤⣶⣾⣿⣿⣿⠿⠿⠿⠿⠿⣿⣿⡄⠀⢿⣿⡇⠀⠀⢸⣿⣿ ⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⢿⣿⡿⠛⠉⠀⠀⠀⠀⢠⣶⣿⣿⡿⠿⠛⠋⠉⠀⠀⠀⢀⣀⣀⣴⣿⣿⠃⠀⠀⠀⠀⠀⢀⣿⣿⡇ ⠀⠀⠀⠀⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠁⠀⠀⠀⣀⣠⣤⣾⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⢀⣾⣿⡟⠀ ⠀⠀⠀⠀⢠⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣾⣿⣿⡿⠟⠛⠋⠉⠀⠀⣨⣿⣿⠇⠀⠀⢀⣾⣿⡿⠏⠀⠀ ⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠟⠛⠉⠀⠀⠀⢀⣠⣤⣶⣾⣿⣿⠋⠀⠀⠀⣸⣿⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⠿⠟⠛⢻⣿⣷⠀⠀⢠⣿⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⢰⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡿⠟⠛⠉⠀⢀⣠⣴⣾⣿⡟⠀⢀⣾⣿⠇⠀⠀⠀⠀⠀ ⠀⠀⢀⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⡿⠛⠉⠀⢠⣾⣿⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⣾⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⡿⠟⠋⠁⠀⠀⢀⣴⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠟⠋⠁⠀⠀⠀⠀⢀⣴⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠋⠀⠀⠀⠀⠀⣀⣤⣾⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣯⣤⣤⣤⣶⣶⣾⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⡿⠟⠿⠿⠿⠿⠟⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡌⢱⢄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⢸⢢⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢦⠀⢰⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡘⠀⠀⠘⢰⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⠂⠉⠉⠉⠐⠲⣢⢶⣞⡗⢦⡀⠀⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀⢰⡁⠀⣇⡀⠴⠂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢬⡋⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⢠⠃⠀⡠⠄⠀⠀⠀⠀⠀⢠⢐⡖⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⡠⣤⠼⠛⠚⠷⢶⡥⠤⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡠⢔⡩⠖⠋⠁⠀⠀⠀⠀⠁⠈⠀⠀⠀⢀⠔⢧⠄⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣮⠔⠁⠀⠀⠀⠀⠀⢀⡠⠊⠣⠀⠀⠀⡐⠁⢀⠎⠀⠀⠉⠖⠒⠀⠀⠐⠐ ⢠⠳⠁⠀⠀⠀⠀⠀⣠⡔⠁⢧⠀⠀⠀⣠⣜⡤⠖⠁⠀⠀⢀⠎⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⣀⠴⠊⠀⠘⢦⠀⠉⠈⠉⠉⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠤⣀⠀⠀⡏⠣⡀⠀⡴⠲⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢄⣀⣀⠀⠘⣦⡈⠙⠲⢷⠀⠘⢦⡇⠀⠹⡄⢠⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠈⠉⢀⣀⣀⡀⠀⠀⠈⠀⠀⠘⠀⠢⠔⣀ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⢹⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢛ ⠀⠀⠀⠀⠀⠀⠀⠐⠒⢺⠀⡔⠋⠲⠔⠒⠒⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⡰⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡇⠀⠀⠀⠀⠀⠀⢸⣀⠀⠀⠀⠀⠀⠀⣰⣅⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣷⣿⣆⠀⣠⠤⠤⠴⠟⠁⠀⠀⠀⠀⠀⠀⠀⢨⠇ ⢀⠁⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⠇⢅⡀⢀⠀⠀⠀⢀⣀⡀⠀⢀⠤⠤⠎⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡟⢁⡤⡄⣈⣁⣠⣤⣖⣹⣨⠼⢠⠂⠀⠀⠀⠀ ⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢦⣵⣗⣛⣉⣉⣀⣀⣀⠀⠀⠛⢦⡀⠀⠀⠀ ⠀⠘⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣦⣶⣤⣀⣤⣶⣿⣦⠇⠀⠀⠀ ⠀⠀⠀⠈⠑⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢲⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⢸⢸⢢⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠸⠘⠘⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⡀⡀⠀⢐⣽⡀⠀⠀⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠁⠀⠀⠀⠀⠈⠙⠏⠓⡂⠙⡄⠀⢘⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡦⠋⠉⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⡄⠀⢀⠄⠀⠀⠀⠀⠀⣀⡔⠓⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡀⢤⡤⠟⠒⠓⢒⠥⠄⠀⠀⠀⢀⠜⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠔⡪⠔⠊⠁⠀⠀⠀⢀⡇⠀⠀⠀⢀⡠⢛⠦⠤⣀⠀⠀⠀⠀⠀⠀ ⠀⡰⡕⠉⠀⠀⠀⠀⠀⡠⠖⠉⠀⠀⠀⢠⠎⣀⠎⠀⠀⠀⠈⠉⠉⠁⠈⠈ ⢰⠁⠀⠀⠀⠀⣀⠔⠙⢄⠘⠢⠤⠔⠚⠓⠉⠀⠀⠀⠀⡂⠀⠀⠀⠀⠀⠀ ⠐⠤⠄⠀⠤⠊⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⡤⠤⠤⠤⠤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠿⠛⠛⠋⠉⠉⠛⠛⠛⠻⢽⣦⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⡾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠻⣖⣄⠀⠀⠀⠀ ⠀⠀⢀⣼⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠈⠻⣷⡄⠀⠀ ⠀⢠⣾⠋⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣁⠀⠉⠉⠑⠲⣄⡀⠀⠀⠀⠀⠈⢾⣆⠀ ⣰⣿⠃⠀⠀⠀⣰⣶⣶⣶⣿⣁⣀⠀⠉⠉⠓⠦⣄⡀⠀⠙⢶⡒⠲⢦⡀⠈⢯⣦ ⣿⡇⠀⠀⢀⣴⠃⠀⠀⢹⣏⠉⠉⠉⠙⠲⢤⡀⠈⠱⠆⠀⠀⠙⠂⠀⢳⡀⠘⡿ ⣻⠀⠀⣠⡿⠁⡀⠀⠄⣸⢿⡟⠲⠦⣄⡀⠀⠙⠂⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⢷ ⣿⠀⣴⡟⡠⢡⢐⢉⣼⣇⡈⠳⣤⣀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⢺ ⣿⣼⠏⡴⡑⢆⣪⣾⣁⠉⠙⠛⠶⢯⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡥⣻ ⣿⣏⡜⣲⡙⣶⠟⣿⣿⣿⣶⣦⣤⣀⡈⠉⠻⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠻ ⠹⣿⡜⢦⣽⠏⠀⠘⢿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣙⣲⣤⡄⠀⠀⠀⠀⠀⠀⢘⠀ ⠀⠘⢿⣿⠃⠐⠠⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠀⠀⠀⠀⠀⠀⢨⠀ ⠀⠀⠈⠻⣿⣤⠁⠂⠄⡀⠀⠀⠈⠉⠙⠛⠋⠉⠉⢸⣯⢽⣇⠀⠀⠀⠀⠀⡂⢸ ⠀⠀⠀⠀⠈⠻⢿⣦⣔⡠⠁⠂⢄⠠⠀⠄⠠⠐⡀⢸⣯⢎⣿⣆⣀⡀⣀⣴⡱⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠛⡽⣷⣾⣦⣤⣥⣬⡤⣵⣶⣾⡿⣟⠊⡙⣒⠛⠓⠉⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⢰⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠗⠀⠀⠀⠀⠀⢀⠀⣠⣿⣿⣿⣆⣴⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⢠⡿⣼⣟⡴⠋⠉⠙⠛⠻⠿⣿⡀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⢸⠇⠀⠀⣾⠃⣿⣿⣁⡤⣶⡶⠒⠀⠀⣿⠁⣠⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⣿⣿⠀⣼⠀⠀⢰⣿⣀⣿⠐⠯⢭⣭⠟⠒⠒⠲⣿⣿⠇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢞⣵⣿⣿⣿⢠⡿⠀⢀⣼⠛⢻⠿⢿⣶⣦⣤⣤⣄⣀⡀⣿⡏⠀⢸⠀⠀⠀⠀⠀⣰⢀⣼⢦⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣷⣿⣿⣿⣿⣿⢸⡇⠀⣿⡟⠛⠺⣄⠀⠈⠙⠛⠛⠛⠻⢿⣿⣷⣶⣿⠀⠀⠀⠀⢰⡟⠛⣿⣯⡛⣦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣾⣧⢸⣿⡷⢤⠀⠈⠛⢦⡄⠀⠀⠐⢒⣾⠏⠀⣠⠟⢻⡆⠀⠀⣾⠀⠀⣼⣿⣿⣮ ⠀⠀⠀⠀⠀⠀⠀⠠⢒⣋⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠉⠈⠳⣄⠀⠀⠈⠳⠄⠀⠀⠙⢶⡜⠁⢰⡿⠁⢀⣴⡟⠀⣰⣿⣿⣿⣿ ⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠷⢤⡀⠀⠙⠶⡄⠀⠀⠀⠀⠀⠀⠉⠀⢸⡇⠀⣼⡿⣠⣾⣿⣿⣿⣿⣿ ⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢄⠀⠙⠦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⠏⢻⣿⣿⣷⠀⠳⣄⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡿⠀⠈⣿⣿⡟⢷⠀⠸⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣧⠀⠀⢸⡟⡇⠀⠣⣄⡀⠙⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡀⠀⠈⣿⡼⢤⣀⣨⣭⡉⠉⢛⣲⣤⣀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡄⠈⠉⠂⠈⠛⠋⢉⣬⠉⠉⠷⣭⠓⣄⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠈⠛⠷⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣾⡆⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠈⢉⣽⠀⣼⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⠈⢿⡄⠀⠀⠀⠀⠀⠀⢰⣿⡏⢠⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⡿⠀⠀⢳⣄⠀⠀⠀⠀⠀⢸⡟⢁⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿ ⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⡇⠀⠀⠀⠻⣆⠀⠀⠀⢀⣼⢁⣼⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿ ⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⣿⡇⠀⠀⠀⠀⠘⠳⣤⠶⣿⣯⣼⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿
🤦🏾
🤦🏻‍♀️🙎🏻
( ➖ー➖)
(●、●)
🤦‍♀️
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⡿⠿⠛⠛⠛⠛⠛⠛⠻⠿⣶⣦⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣷⣦⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⡄⠀⠀ ⠀⠀⢀⣾⠏⠀⠀⠀⢠⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡄⠀ ⠀⠀⢸⡿⠀⠀⠀⣰⣿⠛⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⠀ ⠀⠀⣿⡇⠀⠀⣸⡿⠁⠀⠈⠙⠿⠿⣶⣶⣶⣶⣦⣤⣄⣀⠀⠀⠀⠀⢸⣿⠀ ⠀⠀⣿⣧⣤⣰⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠻⣷⣄⠀⠀⢸⣿⠀ ⠀⠀⢸⣿⠙⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠈⣿⡆⠀⣼⡟⠀ ⠀⠀⠈⣿⡀⠘⣿⡆⠀⠀⢀⣀⣤⣶⣶⠿⠿⠛⠛⣿⡆⠀⠀⢸⣿⣾⠿⣷⡄ ⠀⠀⠀⣿⡇⠀⣿⣧⣴⡾⠟⠛⠉⣁⣠⣤⣶⣶⠿⠿⠿⣷⡆⠸⣿⠁⠀⣿⡇ ⠀⠀⠀⣿⡇⠀⠘⠛⠁⠀⠀⠀⠿⠟⠛⠉⢀⣀⣤⣤⣶⣿⡃⠀⠀⠀⣼⡿⠀ ⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⡿⠿⠛⠉⠁⣀⣿⡇⠀⢰⣿⠟⠁⠀ ⠀⠀⢠⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢀⣠⣴⣾⠿⠿⣿⡄⠀⣾⡏⠀⠀⠀ ⠀⠀⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠋⢁⣠⣴⣾⠟⠁⣼⡟⠀⠀⠀⠀ ⠀⣸⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⠿⠛⠉⠀⢠⣾⠟⠀⠀⠀⠀⠀ ⣰⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀⣀⣠⣾⠟⠋⠀⠀⠀⠀⠀⠀ ⠛⠃⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣶⣶⡾⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠻⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠒⠂⠀⠀⠉⠉⠁⠒⠂⠤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⢀⠀⠠⠤⠤⠤⢀⡀⡀⢀⣀⠀⠀⢡⠀⠀ ⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⢀⡀⣀⣠⠄⡖⠦⡐⠂⠤⠤⠤⠤⠈⠀⠈⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣷⠊⢳⠻⡀⠑⢄⠀⠀⠀⠒⠒⢠⠖⠹⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣝⠹⣆⠀⠣⡙⢄⠠⠓⡄⠸⠀⠀⣸⠈⣇⡆ ⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠱⡀⠹⣆⠐⠙⢮⢧⠀⠘⠢⡾⠹⡟⠀⡿⡀ ⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⡄⠀⠀⣵⡀⠙⢧⡀⠀⠑⠃⠀⠀⠉⠢⠃⠀⠀⢡ ⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠸⡀⠀⢸⠃⢗⡄⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢧⠀⠈⢆⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢠⠳⣀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⡸⠀⠈⠓⢄⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⡈⠲⣄⠀⠀⠀⠀⠀⠀⠀⡆⠀ ⠀⠀⠀⠀⠀⢀⠜⠀⠀⢀⠔⠉⠀⠀⠀⠀⠀⠀⠈⡉⠀⠱⠀⠀⠀⠀⠀⠀⠐⠀ ⣀⣀⠤⠒⠈⠉⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⡇⠀⠀⠀⠀⠀⠀⠦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠐⠉⠁⠀⠀⡇⠀⠀⠀⠀⠀⠀⠘
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣴⣶⣶⣶⣶⣶⣶⣶⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⡿⠟⠛⠉⠉⠁⠀⠀⠀⠀⠉⠉⠛⠿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠿⠿⣿⣶⣦⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠈⠙⠻⣿⣦⡀⠀⠀ ⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠋⠀⠀⠀⠀⠈⢿⣷⡄⠀ ⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⡄⠀⠀⠀⠀⠀⠀⢻⣿⡄ ⠠⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠁⠀⠀⠀⠀⠀⠀⠀⣿⣷ ⠀⠀⠉⢻⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⢹⣿ ⠀⠀⠀⠀⠹⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⡿⠋⠛⢿⣿⣦⡀⠀⠀⠀⠀⢸⣿ ⠀⠀⠀⠀⠀⢹⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣠⣤⣤⣤⣤⣤⣶⣿⡿⠿⠋⠁⠀⠀⠀⠀⠈⢿⣿⡄⠀⠀⠀⢸⣿ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⣠⣴⣾⣿⠿⠿⠛⠛⠛⠛⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡀⠀⠀⣿⣿ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⢀⣴⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⢿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣇⠀⢀⣿⡏ ⠀⠀⠀⠀⠀⠘⣿⡇⠀⢀⣾⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠋⠀⠀⢹⣿⣧⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⢸⣿⠇ ⠀⠀⠀⠀⠀⠀⣿⣿⠀⣼⣿⠃⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠋⠀⠀⠀⣠⣾⡿⠋⠉⢻⣿⡆⠀⠀⠀⠀⠀⠀⣿⣿⠀⣾⣿⠀ ⠀⠀⢀⣠⣤⣤⣾⣿⣶⣿⣿⠀⠀⠀⠀⠀⠀⣠⣾⡿⠋⠀⠀⠀⣠⣾⡿⠋⠀⠀⢀⣴⣿⡇⠀⠀⠀⠀⠀⠀⣿⣿⣶⣿⣧⣄ ⠀⣾⣿⠟⠛⠻⢿⣿⣍⠛⠿⠄⠀⠀⠀⣠⣾⣿⠟⠀⠀⠀⣠⣾⡿⠋⠀⠀⢀⣴⣿⡿⠿⣿⣷⡀⠀⠀⠀⠀⠟⠋⠉⠉⢻⣿ ⠀⠙⣿⣷⡀⠀⠀⠙⣿⣷⣄⠀⠀⣠⣾⡿⠏⠁⠀⠀⣠⣾⡿⠋⠀⠀⢀⣴⣿⡿⠋⠀⠀⢸⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿ ⠀⠀⠈⢿⣿⡄⠀⠀⠈⠻⣿⣷⣾⣿⠛⠀⠀⠀⠀⠈⠻⠏⠀⠀⢀⣴⣿⡿⠋⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⡀⠀⠀⣰⣿⡇ ⠀⠀⠀⠈⣿⣿⠀⠀⠀⠀⠈⠻⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⡿⠋⠀⠀⢀⣴⣿⡿⢿⣿⣦⠀⠀⠀⠀⣿⣿⠿⠿⠛⠀ ⠀⠀⠀⠀⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠀⠀⢀⣴⣿⠟⠁⠀⠀⣹⣿⡇⠀⠀⠀⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⠟⠁⠀⠀⢀⣾⣿⠟⠀⠀⠀⢸⣿⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⣾⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣾⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⣼⣿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⢀⣼⣿⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⢀⣴⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⢀⣠⣶⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣟⡁⠀⢀⣠⣤⣶⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣶⣶⣿⠟⠙⠻⠿⠿⠿⠟⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡶⠟⠛⠉⠉⠉⠉⠛⠻⣦⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣴⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣤⣄⡀⠀⠀⠀ ⠀⠀⠀⣠⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠉⠻⣶⡀⠀ ⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠈⢿⡄ ⠐⠻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣉⠀⠀⠀⠀⠸⣷ ⠀⠀⠈⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⠟⠛⢷⣆⠀⠀⠀⣿ ⠀⠀⠀⢸⡇⠀⠀⠀⣀⣤⣴⠶⠶⠿⠿⠟⠛⠛⠉⠀⠀⠀⠀⠹⣧⠀⢠⣿ ⠀⠀⠀⢸⣇⠀⣠⡾⠋⠁⠀⠀⠀⢀⣴⠿⢿⣆⠀⠀⠀⠀⠀⠀⣿⡄⢸⡇ ⠀⠀⠀⠘⣿⢀⣿⠁⠀⠀⠀⢀⣴⠟⠁⢀⣴⠟⠛⢷⡄⠀⠀⠀⣿⡇⣿⠃ ⠀⣴⡶⢶⣿⡿⢿⠀⠀⢀⣴⠟⠁⢀⣴⡿⠁⢀⣴⣿⣤⡀⠀⠀⡿⠿⠻⣦ ⠀⠻⣦⠀⠙⢷⣄⢀⣴⡿⠉⠀⣴⡿⠋⠀⣠⡾⠋⠀⣸⡇⠀⠀⠀⠀⢰⡟ ⠀⠀⢹⣇⠀⠀⠙⠿⠋⠀⠀⠀⠈⠀⣠⡾⠋⠀⣠⡾⣿⣄⠀⠀⣶⡶⠿⠃ ⠀⠀⠈⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⣠⡾⠋⠀⣠⡿⠀⠀⣿⠇⠀⠀ ⠀⠀⠀⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⣠⡾⠏⠀⠀⢰⡿⠀⠀⠀ ⠀⠀⠐⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠀⠀⠀⢠⡿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⠁⠀⠀⣀⣴⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣟⠁⣠⣤⣴⠾⠛⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡾⠛⠛⠉⠙⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⢲⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⢻⠀⢸⠉⢳⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢸⠀⠀⠀⢸⠳⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡇⢸⠀⢠⠀⢾⠀⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠉⡇⠸⠀⢸⡀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢀⡇⠀⠀⠀⠀⠚⠀⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⠤⠤⠤⢄⣀⠀⢀⠀⠀⡀⠀⣻⣼⡃⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠖⠊⠉⠀⠀⠀⠀⠀⠀⠀⠉⠻⣯⣲⢿⣟⣋⣹⠙⠳⣦⡀⠀⠀⠀⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⠀⠉⠉⡟⠀⠀⠘⣇⠀⠀⢀⣼⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⠀⠾⠧⣤⣀⣠⠟⠒⠚⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣬⡿⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣄⡀⠀⢸⡇⠀⠀⢠⠖⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠤⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⢘⣧⠿⠲⠬⣿⣦⣤⣏⡀⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠞⢛⣩⡽⠟⠉⠀⠀⠀⠀⠀⢀⠜⠻⣍⠀⠀⠀⠀⠀⠀⠀⠀⣠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡴⠋⣡⡴⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠁⠀⠀⠀⠀⠀⡠⠚⠹⣦⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡴⣫⠴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠾⣄⠀⠀⠀⠀⠀⠀⢠⠊⠀⠀⢠⡇⠀⠀⠈⠙⠲⢦⣤⠤⠤⠤⠤⠤⢤⠤⠤ ⠀⠀⣰⣫⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠋⠀⠀⠈⠀⠀⠀⠀⠀⣰⠃⠀⢀⣴⠏⠀⠀⠀⠀⠀⢀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡼⠁⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⠸⣇⠀⠀⠀⠀⠀⠀⣠⡞⢁⣠⡶⠛⠁⠀⠀⠀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠞⠉⠻⣦⠀⠀⠙⠦⢄⣠⣤⠶⠿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⣴⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⢀⣠⠶⠋⠀⠀⠀⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠈⠉⠉⠉⠂⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡁⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⡿⡦⢤⡤⠀⣀⠂⡘⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⡗⢍⠢⢉⣱⢛⠿⣞⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡰⠊⡝⠛⠿⣿⣿⣿⣯⠒⠀⠀⠀⠙⣼⡋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠔⠦⠥⠤⢠⠠⠀⠒⠂⠩⠿⢫⣑⡀⠀⠀⠀⣿⣿⣷⣦⣄⡀⠀⠀ ⡠⡐⠨⠤⠤⠤⠐⠀⠘⠀⠀⠐⠒⠀⠀⠠⠤⠬⢦⠀⣀⠜⢂⠉⠉⠛⢿⣷⡀ ⠈⢷⡀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⡀⠄⠊⠀⠇⠉⠀⠀⠈⠶⠀⠀⠀⠘⡿ ⠀⠈⠃⣀⠸⠁⢒⠃⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠘⡀⠀⠀⠀⠸⡈⠋⠉⠁⡠ ⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠤⠤⠤⠤⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠴⠒⠚⠛⠒⠒⣂⣤⢤⣤⣤⣬⣶⣤⣤⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠋⠉⠉⠙⠛⠛⠛⢻⡦⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣶⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠃⠙⢦⡀⢿⣆⠀⠀⠀⠀ ⠀⢀⣾⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠙⡌⢿⡀⠀⠀⠀ ⠀⣰⠃⠀⢀⠔⠋⠉⠉⠑⣦⡀⠀⠀⠀⢸⡤⠖⠒⠒⠚⠛⠯⣽⡆⢳⡀⠀⠀ ⡀⡻⠀⠀⡎⢀⣀⡤⣶⠚⠁⢸⠀⠀⠀⠀⠙⣄⠀⠀⠀⠀⠀⢀⡇⠈⡟⡄⠀ ⣷⠃⠀⠀⢹⠙⠓⠚⠁⠀⡰⠃⢀⡠⠤⣤⢄⣀⠉⠐⠒⠒⠒⠉⠀⠀⠹⡽⠀ ⣿⠀⠀⠀⠘⢦⣀⣀⣠⠞⢀⡔⠉⢦⣀⡟⠢⠂⠉⠒⠤⣤⢤⡀⠀⠀⠀⢷⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠹⡦⡼⠀⠁⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⢸⠀ ⢧⡄⠀⠀⠀⠀⠀⠀⠀⠀⡇⠉⠀⠀⠀⠀⠀⢀⠤⠢⡀⠀⠀⠀⠑⡄⠀⢸⠀ ⢸⢸⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⣰⠋⠉⠁⠀⢀⠜⢶⠏⠑⢄⠇⠀⠸⠀ ⠈⢦⣇⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠐⠃⠀⢠⠎⠙⢚⡠⠴⠦⠒⠚⠀⠀⢀⠆ ⠀⠀⢻⣄⠀⠀⠀⠀⣰⠁⢀⡀⠀⡔⠉⠙⢞⡠⠖⠉⠀⠀⠀⠀⠀⠀⢀⡞⠀ ⠀⠀⠸⡈⠢⣀⠀⠀⠧⣐⣁⣉⠚⣀⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠁⠀ ⠀⠀⠀⠓⠀⠀⠉⠒⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠃⠀⠀
⠀⠀⢀⢤⠀⠀⠀⠀⠀⠀⠀⠀⣠⢢⡀⠀ ⠀⢠⢿⠸⡇⠀⠀⠀⠀⠀⠀⢠⡇⢸⠁⠀ ⠀⢠⠀⢠⣿⣄⡤⠐⠂⠂⢦⣼⠧⡀⢀⠀ ⠀⠈⠒⢣⣤⠊⢀⠀⡀⢀⠀⠈⣶⠂⠁⠀ ⠀⠀⠀⣈⣹⠖⠤⣮⠴⡞⠘⠻⢣⢄⠀⠀ ⢀⡴⠋⠈⠀⣀⠔⠀⠀⠐⡦⡀⠀⠀⠑⡄ ⢀⠁⠀⠠⠘⢀⠂⠐⠊⠀⠀⠈⠑⠄⠀⠰ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢸⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢀⠀⡀⢀⠀⠀⠀⠀⣀⢀⡀⡀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⡰⠁⠠⠁⡌⠀⠀⡠⠊⡠⢊⠜⠀⡌ ⠀⠀⠀⠀⠀⠀⠀⡰⠁⡜⠀⡰⠁⠌⠀⡠⠊⡠⠊⢠⠊⢀⠌⠀ ⠀⠀⠀⠀⠀⠀⢀⠁⡐⢀⠜⢀⠎⡠⠊⡠⠊⢀⠔⠁⡠⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢀⡣⠊⡠⣁⣰⠤⡎⠠⡔⢁⠤⠊⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢂⠞⠁⠸⠙⢩⠈⢇⠘⡄⠈⢆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠃⢠⢤⢄⠀⠀⠆⠀⠆⠰⠀⠈⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡌⠀⠘⡼⠢⡀⠀⡆⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡁⠀⠀⣗⠠⠜⣤⣸⡀⠀⣢⣶⣾⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⠊⠀⠀⠀⠀⠉⠐⠬⣿⣿⣘⡻⡁⠈⠀⠀⠀⠀⠀⠀ ⠐⠒⠒⣷⣒⣒⣒⣖⠲⣤⣤⡀⠈⡊⣀⣀⡘⢄⠀⠀⠢⡀⠀⠀ ⠀⠊⠉⢩⡷⡄⠻⠾⠼⠭⡼⠉⠍⡏⡟⢥⡂⠬⣇⠒⠀⢴⡄⠀ ⠀⠐⠉⠀⠀⠈⣰⠒⠒⢄⣈⣒⠒⠉⠁⢐⠩⠲⡁⠑⡢⡊⠀⠀ ⠀⠀⠀⠀⠀⢀⠃⠀⠀⠀⢃⠀⠀⠘⡄⠀⢀⡀⠜⠊⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠀⠀⠀⢸⢸⠀⢰⠀⢐⠊⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⠀⠀⠀⠸⢸⠀⢸⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠀⠀⠀⡀⢸⠀⠈⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠀⠀⠀⠃⠈⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡴⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠓⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⠴⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠉⠑⠒⠒⠒⠒⠒⠒⠒⠒⠲⢤⣀⠀⠀⠀⠈⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣼⠶⣶⡛⠛⠓⠢⣤⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⢹⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠖⠒⠒⣶⠾⣿⣭⠀⢸⣧⣈⡆⠙⣦⡀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠛⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⣠⠟⠙⣷⡾⢿⣯⠴⠀⠈⢳⣄⠀⠀⠀⠀⠀⠀⠀⣀⣠⠤⠤⠶⣄⡀⢀⣤⣤⠙⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣰⡿⡇⠆⠀⠘⢷⡀⠻⣄⠀⠀⠀⠙⢧⡀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⢹⡏⢽⢸⠀⢻⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⢸⠈⣿⣻⡀⠀⠀⠈⢷⡀⠙⢷⡄⠀⠀⠀⠙⣷⣄⠀⠀⠀⢸⠁⠀⠀⠀⠀⢸⠀⠘⢺⡆⢺⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣟⣛⡀⠈⢿⣿⡀⠀⠀⠈⢻⣄⠀⠻⣆⠠⠤⠚⠁⠹⣦⠀⠀⠾⠀⠀⠀⠀⢠⣾⡄⠀⢀⣿⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣌⠀⠀⠘⣿⢳⡀⠀⠀⢀⣻⣶⣤⣘⢷⡄⠀⠀⠀⠙⣷⡀⠀⢠⡶⣶⢶⣿⣿⠇⠀⠉⣿⢸⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣆⠀⠀⠘⣿⢷⡄⠊⠉⠁⠈⠛⢦⡈⢷⡄⠀⠀⠀⠈⠙⢦⡼⣧⣬⣼⣿⡟⠀⠀⠀⣿⢻⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣆⠀⠀⢸⣧⡻⡄⠀⠀⠀⠀⠈⢻⣄⠹⣆⠀⠀⠀⠀⠀⠻⢦⡀⠀⢹⡇⠀⠀⠀⢻⠈⢷⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⠀⠀⠀⠀⠀⣀⣿⡆⠋⠁⠈⠻⣟⣦⠀⠀⠀⠀⠀⠈⠛⠿⠀⠀⠀⠀⠀⠀⠀⠙⢶⠟⠀⠀⠀⠀⢸⠀⠸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⢀⣏⡏⣿⣆⠀⠀⠀⠘⢯⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⢸⡛⠀⢻⣍⢧⡀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠹⣧⠀⠀⠀⠀⢸⡇⠀⠀⠹⣾⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀⡞⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⣹⡀⠀⠀⠀⠈⣿⠃⠀⠀⠀⠹⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠘⢷⡀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠠⡄⠻⣆⠀⠀⠀⠀⠈⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⣿⠀⠈⠳⣄⠀⠀⠀⠀⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠈⠳⣄⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⠀⠀⠀⣰⠿⠃⠀⠀⠀⠀⠈⠛⢦⣀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢲⣄⠀⠀⠈⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠷⣤⡀⠀⠀⠙⢦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠀⠀⠀⠀⠀⠀⢀⣠⣴⠷⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⠶⢤⣀⣙⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠏⠀⠀⠀⠀⠀⠀⣰⡾⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡆⠀⠀⠀⠀⠉⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣋⡅⠀⠀⠀⠀⢀⣀⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡀⠀ ⠀⠀⠀⠀⢀⣤⡴⠖⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠋⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⣤ ⠐⠒⠒⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⣀⡀⠀⠀⠀⠀⣀⣀⣀⡄⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⣀⣀⣼⠋⠁⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡏⠀⣽⠶⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⡇⠀⡏⠀⣽⣄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⡇⠀⡇⠀⡏⠈⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣼⠀⡇⠀⠑⠀⡇⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⣽⠀⠛⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⣿⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⡤⠤⢤⣤⣤⣄⡀⣀⡀⠀⠀⢀⣸⣷⣇⣀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠖⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⡷⠻⣏⣀⣠⠌⠙⢷⡀⠀⠀⠀⠀⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠉⠀⡼⠀⠀⠈⢿⡀⠀⠀⢀⣼⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠸⠷⠤⣄⣀⣼⠗⠚⠛⠋⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣈⣙⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣄⠀⠀⠀⣼⠀⠀⠀⢀⡴⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡦⢤⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣯⣻⡶⣤⣹⣤⣄⣠⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡴⠶⢖⣲⣶⠞⠋⠁⠀⠀⠈⠉⢉⣬⢿⡋⠉⠁⠀⠀⠀⠀⠀⠀⠀⣠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⡴⠚⢉⣠⡴⠞⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⡞⠁⠀⠉⠀⠀⠀⠀⠀⠀⠀⢀⡼⢯⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⠞⢁⣴⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡇⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠋⠀⢸⡏⠉⠙⠓⠶⣤⣀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀ ⠀⠀⠀⣠⡞⣡⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠞⠉⠉⠂⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⢠⠟⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠛⠉⠉⠉⠉⠋⠉⠉ ⠀⠀⣰⠏⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃⠀⣠⡴⠋⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⠏⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠾⣯⡀⠀⠘⢧⣀⠀⠀⠀⢀⣀⣤⣾⣯⡤⠶⠛⠉⠀⠀⠀⠀⠀⠀⢀⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⠋⠁⠀⠈⠻⣄⠀⠀⠈⠙⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣧⡀⠀⠀⠀⠀⠀⠀⣀⡴⠟⠁⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠙⠓⠶⠶⠶⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠚⣿⠛⠛⠛⠛⠛⠛⠛⠛⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠶⠾⠛⠛⠉⠉⠉⠉⠉⠉⠛⠶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⠖⠚⠛⠛⠛⠒⠒⠒⠒⠶⠦⠤⣤⣤⣤⣤⣤⣼⣿⣶⣴⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠻⣿⠶⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣈⠉⠉⠉⠈⢿⣟⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⠾⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿⠉⠛⢷⡀⠀⠈⢿⣧⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣾⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⠀⠀⠀⠀⠹⣦⡀⠸⣝⣷⡄⠀⠀⠀⠀⠀ ⠀⠀⢰⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣆⠹⣿⣇⠀⠀⠀⠀⠀ ⠀⠀⢸⡿⠹⠋⠀⠀⠀⢀⣤⡤⠤⠤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⢀⣀⣀⣀⣀⣤⣤⣴⣿⣆⠈⢿⡄⠀⠀⠀⠀ ⠀⢠⣿⠃⠀⠀⠀⢠⠞⠋⠁⠀⠀⠀⠀⠈⢻⣷⣄⠀⠀⠀⠀⠀⠀⢸⣦⡶⠟⠛⠋⠉⠉⠉⠉⠉⠻⢷⣤⣿⡆⠈⢿⣄⠀⠀⠀ ⠀⢻⣿⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⣀⣤⣶⠟⠉⠈⣷⠀⠀⠀⠀⠀⠀⠙⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡿⠀⠘⡟⣦⠀⠀ ⡇⢰⠏⠀⠀⠀⢸⣀⣠⣤⡶⠾⢛⣿⠏⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⣀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠃⠀⠀⢿⡸⣇⠀ ⣷⡿⠀⠀⠀⠀⠘⡟⠙⠛⠻⠾⠛⠁⠀⠀⠀⣰⠟⠀⠀⠀⣀⣀⣀⣀⣀⡀⠀⠀⠉⠙⠒⠒⠶⠶⠖⠚⠉⠀⠀⠀⠀⠘⣧⡻⠀ ⣿⡇⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⣠⡾⠁⠀⣠⡴⣟⠉⠁⠈⣿⠉⠉⠓⠲⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣏⠀ ⣿⡇⠀⠀⠀⠀⠀⠙⢷⣄⣀⡀⠀⣠⡾⠋⠀⠀⣰⠋⠀⠸⣧⣀⠀⣿⠛⠒⠛⠀⠀⠉⠛⠶⣴⣶⠶⣤⡀⠀⠀⠀⠀⠀⠀⣿⠀ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠀⠀⠀⡾⢻⣦⠀⠀⢸⠋⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠈⢳⡄⠀⠀⠀⠀⠀⢹⠀ ⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠈⣻⠓⠶⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⢸⡆ ⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠐⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠤⣄⠀⠀⠀⠀⠀⠀⠀⠻⡄⠀⠀⠀⢸⡇ ⢻⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⣀⣰⠟⠁⠀⠈⠳⣄⠀⣠⣤⣀⡀⠀⣿⠀⠀⠀⢸⡇ ⠘⡄⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⢠⡟⠁⠀⠉⠁⠀⠀⠀⢀⡴⠛⢶⣿⠀⠈⠻⠄⡿⠀⠀⠀⠸⡇ ⠀⣧⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⢀⣤⠶⠶⣄⡾⠁⠀⢀⣇⠀⢀⣀⣼⠇⠀⠀⠀⠀⣇ ⠀⠘⢿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠉⣡⡴⠊⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⢀⡟ ⠀⠀⠈⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⢠⡶⠋⠉⠻⣤⡟⠀⢀⡴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃ ⠀⠀⠀⠸⡟⢷⡄⠀⠀⠀⠀⠀⠀⡼⠃⠀⣠⡴⢦⡀⢀⡟⠀⠀⠀⠀⢈⣷⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀ ⠀⠀⠀⠀⢿⠀⠻⣦⣀⠀⠀⠀⠰⢧⣀⣞⡁⠀⠀⠙⠛⠁⣀⡤⠶⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠏⠀⠀ ⠀⠀⠀⠀⠘⣧⠀⠀⠉⠙⠢⣤⡀⠀⠈⠉⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠖⠒⠒⠒⠒⠒⠚⠛⠒⠲⠤⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠐⠒⠉⠉⠉⠉⠉⠉⠉⠒⠂⠀⠀⠀⠒⠒⠠⣀⠀⠀⠀⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡤⠤⣶⠛⡾⣍⠙⠒⠢⠤⠤⠤⠤⠤⠤⣀⠀⠀⠀⠀⢸⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⢸⡏⣹⠳⣄⣿⣷⠃⠘⢦⡀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⢀⡘⢷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣸⣿⠁⠀⠹⣇⠻⣄⠀⠀⠹⣄⠀⠀⠀⠀⠈⠁⠀⠀⠉⣶⢻⢹⠘⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣹⠈⢿⣆⠀⠀⠸⣄⠙⢦⡀⠀⠈⡳⣦⠀⠀⢸⠀⠀⠀⠀⡇⠈⠻⡄⢧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡶⠂⠈⢿⣆⠀⠀⠈⢧⣀⠳⣌⠉⠀⠈⢧⡀⠈⠀⣀⣀⣴⣷⠀⠠⣧⡼⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠘⣿⣦⠀⠒⠉⠛⢯⠹⣆⠀⠀⠈⠻⣄⣿⣉⣹⣿⡇⠀⠀⡿⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡄⠀⠸⢿⣧⡀⠀⠀⠈⠳⣌⣷⠀⠀⠀⠈⠻⣄⠀⣹⠀⠀⠀⢷⠹⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⣶⠀⠀⠀⠀⣴⣿⡌⠀⠀⠹⣷⣄⠀⠀⠀⠈⠙⠀⠀⠀⠀⠀⠈⠛⠃⠀⠀⠀⢸⠀⡧ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⠀⠀⠀⠀⠀⡇⠀⠀⠀⢰⠿⠉⣟⣆⠀⠀⠈⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠈⢷⡀⠀⠀⢸⡇⠀⠙⢾⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣰⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠸⣇⠀⠀⠈⢿⡁⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠙⣦⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢳⠈⠳⣄⠀⠀⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⣸⠀⠀⠈⠳⢄⡀⠀⠙⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠠⠛⠀⠀⠀⠀⠀⠙⠦⣀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⣀⡤⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠤⠬⠽⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠁⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀ ⠀⠀⠀⠀⣀⡤⠴⠒⠛⠛⠀⠀⠀⠀⠒⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀ ⠐⠒⠒⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢄⡀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠧⠠⠾⠁⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡶⠿⠛⠛⠛⠛⠛⠳⠶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠉⣷⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡿⡇⢸⠇⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡙⡇⡇⢸⠀⠀⢸⡶⣤⣤⣤⣤⣤⣤⠤⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣼⡇⣇⡧⢸⠀⠀⣿⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⢹⡇⠘⠀⠀⠆⠀⣿⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣹⡇⠀⠀⠀⠀⠀⢻⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣏⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⣤⣄⣀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠈⠳⠀⠀⠀⢀⣴⠟⢹⡇⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠉⠀⠈⠙⠳⣦⡀⠀⠀⠀⠀⠀⢈⡇⠀⠀⠀⠀⠀⢀⣠⠞⠁⢠⡟⠀⠀⠀⠙⠻⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠈⢻⣆⠀⠀⠀⠀⣸⠃⠀⠀⣀⣤⡶⠛⠁⣀⡴⠋⠀⠀⠀⠀⠀⠀⠈⢻⣦⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣦⠶⠶⠛⠛⠛⠿⠿⠭⠥⠴⠖⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆ ⠀⠀⠀⠀⠀⣰⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿ ⠀⠀⠀⢀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⢠⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠟⠟⠀⠀⠀⠀⠈⢻⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢾⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠠⠋⠀⠀⠀⣀⣤⡶⠾⠛⠛⠉⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⢐ ⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡴⠾⠛⠉⠁⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠈⠻⢶⣤⣤⣤⡴⠶⠞⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⢾⠙⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠁⡟⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⢰⢿⢸⠀⡏⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⠀⡇⡏⣷⠀⠀⠀ ⠀⠀⠀⠀⡿⣸⢸⠀⡏⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠸⡇⡇⡇⢹⠀⠀⠀ ⠀⠀⠀⠀⡇⠛⠘⠀⠱⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⢸⠀⠀⠀ ⠀⠀⠀⢀⣇⠀⠀⠀⣠⣿⠷⣤⣀⣤⡤⠖⠚⠉⠉⠉⠙⠓⢶⣦⣶⣿⣟⠲⡄⠀⠀⢸⡀⠀⠀ ⠀⠀⠀⠸⣯⡀⠀⡾⠁⠹⡟⢋⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡌⢩⣇⠀⢹⣄⣤⠾⠃⠀⠀ ⠀⠀⠀⠀⠀⠉⠉⠷⣶⣞⢋⡞⠀⠀⢀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⢼⡿⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠠⠾⢭⣙⣇⠀⢀⡏⠀⢀⡌⠓⣄⠀⣸⣀⣤⣠⣤⣶⠛⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣘⣟⣿⠷⠾⣷⣴⣏⣀⣒⣾⡛⠋⠉⠙⠻⢶⣿⠤⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⢖⣫⠽⠛⠋⠁⠀⠀⢀⡞⠙⠆⠀⠀⢹⡀⠀⠀⠀⠀⠈⠙⠲⢭⣳⣤⡀⠀⠀ ⠀⠀⢀⡴⣫⠞⠋⠀⠀⠀⠀⠀⠀⣀⡼⠇⠀⠀⠀⠀⣿⠟⢦⣄⠀⠀⠀⠀⠀⠀⠉⠻⣿⣄⠀ ⠀⢠⢿⠟⠀⠀⠀⠀⠀⠀⢀⡤⠾⡏⠀⠀⠀⠀⢀⡼⠃⠀⠼⠉⠳⢤⡀⠀⠀⠀⠀⠀⠘⠟⡆ ⢀⡏⠘⠀⠀⠀⠀⠀⣠⠞⠙⢧⡀⠛⠦⠤⠖⠚⠉⠀⠀⠀⠀⠀⠀⠀⠙⡷⣄⡀⠀⠀⠀⠀⢹ ⠘⢧⣀⠀⠀⣀⡴⠋⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠙⠲⠤⠤⠖⠋ ⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⠃⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠿⢿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⠿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣷⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠻⠿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣄⠀⠀⠀⠀⠙⠻⣿⣿⣦⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠿⠟⠑⠀⠀⠀⠀⠀⠈⢿⣿⣷⡀⠀⠀ ⠀⠀⢀⣴⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣷⡀⠀ ⠀⣰⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣧⠀ ⠘⠿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡆ ⠀⠀⠈⠙⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡇ ⠀⠀⠀⠀⠈⢿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⠿⠿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇ ⠀⠀⠀⠀⠀⠀⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣾⣿⡿⠟⠁⠀⠀⠈⠙⢿⣿⣷⡀⠀⠀⠀⠀⠀⢸⣿⡇ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⣶⣴⣶⣶⣶⣶⣶⣿⣿⣿⣿⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣄⠀⠀⠀⠀⣸⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⠿⠟⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⠀⠀⠀⠀⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⢀⣴⣿⣿⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣶⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⢰⣿⣿⠃ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⡄⠀⠀⠀⣴⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠟⠋⠻⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⠀⠀⣼⣿⡿⠀ ⠀⠀⠀⠀⠀⠀⠐⣿⣿⡇⠀⠀⣼⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠟⠁⠀⠀⠀⢸⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⣿⣿⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⠀⢠⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠟⠁⠀⠀⠀⢀⣴⣿⣿⠟⠉⠙⢻⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⢰⣿⣿⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣆⣸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⣿⠟⠁⠀⠀⠀⢀⣴⣿⣿⠟⠁⠀⠀⠀⢠⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣀⣿⣿⣏⡀⠀ ⠀⢠⣴⣾⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠟⠁⠀⠀⠀⢀⣴⣿⣿⠟⠁⠀⠀⠀⢀⣴⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠿⠿⢿⣿⣷⡄ ⠰⣿⣿⣿⠉⠉⠉⠙⢿⣿⣶⡀⠉⠛⠂⠀⠀⠀⠀⣠⣾⣿⡟⠃⠀⠀⠀⢀⣴⣿⣿⠟⠁⠀⠀⠀⢀⣴⣿⣿⠟⠉⠻⣿⣿⣦⠀⠀⠀⠀⠀⠘⠉⠀⠀⠀⠀⢹⣿⡇ ⠀⠘⢿⣿⣧⡀⠀⠀⠀⠹⣿⣿⣦⡀⠀⠀⠀⣠⣾⣿⡿⠋⠀⠀⠀⢀⣴⣿⣿⠟⠁⠀⠀⠀⢀⣴⣿⣿⠟⠁⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡇ ⠀⠀⠈⠻⣿⣷⡄⠀⠀⠀⠈⠻⣿⣿⣦⣤⣾⣿⡿⠋⠀⠀⠀⠀⠀⠻⣿⡟⠁⠀⠀⠀⢀⣴⣿⣿⠟⠁⠀⠀⠀⢀⣴⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⠀ ⠀⠀⠀⠀⢹⣿⣿⠀⠀⠀⠀⠀⠈⠻⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⢀⣴⣿⣿⠿⠁⠀⠀⠀⢀⣴⣿⣿⣿⣥⡀⠀⠀⠀⠀⠀⢰⣶⣶⣶⣶⣿⣿⠃⠀ ⠀⠀⠀⠀⠀⣿⣿⡆⠀⠀⠀⠀⠀⠀⠈⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⡿⠁⠀⠀⠀⢀⣴⣿⣿⠟⠛⠻⣿⣿⣆⠀⠀⠀⠀⢸⣿⣿⠛⠛⠋⠁⠀⠀ ⠀⠀⠀⠀⠀⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠀⠀⠀⢀⣴⣿⣿⠟⠁⠀⠀⠀⣸⣿⣿⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠟⠁⠀⠀⠀⢀⣴⣿⣿⠋⠀⠀⠀⠀⣾⣿⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠃⠀⠀⠀⢀⣴⣿⣿⠟⠁⠀⠀⠀⠀⢀⣿⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⣼⣿⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⣾⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡟⠁⠀⠀⠀⣀⣠⣤⣴⣾⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣄⣀⣴⣿⣿⢿⣿⣿⣶⣦⣶⣾⣿⡿⠿⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⠿⠿⠿⠟⠋⠀⠈⠙⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⣤⣀⣀⡤⠵⠛⠋⠉⠉⠉⠉⠉⠉⠉⠛⠳⠶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡴⠚⢉⣠⣴⡖⡟⠻⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠫⢟⠶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡶⠋⠐⠀⠀⠀⠀⠀⠀⠀⠸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢈⡤⠂⠀⠀⠀⠀⠀⠀⣼⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⣀⡤⠴⠚⠋⠉⠉⠉⠹⣦⡀⠀⠀⠙⢦⣤⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡁⠀⠀⠀⠀⠀⠀⢰⡿⠀⢠⡏⠀⠀⠀⠀⠀⣀⠴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⠄⠀⠤⠬⠿⣆⠉⠳⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⣰⠟⢁⣴⠏⠀⠀⠀⢀⡴⠚⠁⠀⠀⠀⠀⠀⠀⢀⣠⣞⣿⠿⠗⠊⠣⠀⠀⠀⠀⠹⡄⠀⠘⢦⡀⠀⠀ ⣼⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⣰⣏⣴⣿⠃⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠻⣿⡄⢻⠀⠀⠀⢳⡀⠀ ⠘⢦⣠⡤⠞⠀⢠⠃⠀⠀⣰⡟⢏⣾⠃⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⢀⡤⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠈⢧⠘⡇⠀⠀⡀⢳⡀ ⠀⠀⠙⡷⠀⠀⣸⠀⠀⣰⣿⢉⣾⠃⠀⣠⠋⠀⠀⠀⠀⣀⡤⠴⠚⣹⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡇⠀⡀⠀⢸⠀⣇⠀⠀⠰⡀⣗ ⠀⠀⠀⡇⠀⠀⡯⡄⡴⠛⣿⡛⠳⠦⠾⠥⠤⠶⠖⠚⠙⢿⡟⠷⣦⣿⡀⢻⣧⠀⠀⠀⠀⠀⢀⣴⡾⢿⡇⢰⡇⠀⢸⡃⣿⠀⠀⠀⢇⣿ ⠀⠀⠀⡇⠀⠀⣷⡟⣡⡾⠏⠙⢦⣄⡀⠀⠀⠀⠀⠀⠀⠈⢿⣆⣾⠋⠛⢷⣿⣇⣀⣤⠴⠞⠛⠉⢀⣾⣱⢿⡇⠀⠘⡇⡿⠀⠀⠀⠨⡿ ⠀⠀⠀⣽⣄⠀⢻⡄⠉⠀⠀⠀⡾⠈⠙⠛⠶⣶⡶⠦⠤⠤⠤⠿⠷⠶⠒⠚⠉⠉⠀⠀⠀⠀⠀⠰⠛⠋⠁⠸⣿⠀⠀⣧⡇⠀⠀⠀⠐⡇ ⠀⠀⣼⢡⠍⠳⢬⣳⣄⡀⠀⣼⠁⠀⠀⠀⢀⡞⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⣿⣷⡤⡀⠀⠀⡇ ⠀⢸⡇⣾⠀⠀⠀⢠⠅⠀⣼⡇⠀⠀⠀⠀⣼⠁⠀⠀⠈⠛⢷⣶⣤⠄⠀⠀⠀⠀⠀⣴⠾⠳⣴⠳⡄⠀⠀⠀⢸⣧⢚⣿⣷⡹⠇⠀⢠⠇ ⠀⢸⢣⣿⡀⠀⠀⣾⠀⢰⣿⠀⡀⠀⠀⢀⡏⢲⣄⡀⠠⢤⣀⣀⠀⠀⠀⠀⠀⠀⡟⢿⠀⣆⢹⡇⢳⣖⠊⢉⡾⠗⠋⣿⠇⣻⡄⢀⡼⠀ ⠀⢸⡘⣿⢱⢆⢰⣏⠆⣽⡇⢠⠇⠀⠀⢸⠁⠀⠻⡿⣷⣶⣦⣼⠀⠀⠀⠀⠀⠀⢷⠀⠁⠀⠀⠀⠸⢯⡇⣼⠇⠀⠀⡏⢀⣟⣠⠞⠀⠀ ⠀⠈⠳⡟⢧⡘⢼⣯⠾⣸⡇⢸⡀⠀⠀⣸⠀⠀⠀⠀⠀⠉⠙⠁⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⣀⣀⢀⡞⢸⢧⡃⠀⢸⡇⠘⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢦⡿⣷⣹⢣⣸⡇⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣪⣭⠤⠬⣿⡀⣾⢒⣳⠀⢸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⡄⢿⣿⡀⠀⢺⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⡄⠢⢅⠐⣿⠷⣩⠾⡆⢸⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢾⢳⡱⢄⢸⡍⠓⢤⣀⠀⠀⠐⠯⠭⠭⣔⣒⠢⡄⠀⢸⡔⢨⠑⡄⠢⢿⣙⢦⡹⡇⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣙⣧⡀⢀⣠⠟⠓⠲⠦⣤⣤⣀⣀⣬⣥⣤⣼⡇⠢⠡⢌⡑⢺⣏⠶⣱⡇⡾⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣷⢷⡟⠷⣄⠀⢀⣴⢾⣷⣼⣴⣦⡀⣿⣿⡇⢡⠃⡔⢨⠀⣿⡾⢿⡾⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠛⡙⢳⡿⣄⣈⣳⣬⣿⣾⣿⣻⣿⣿⢧⢿⣿⣇⠂⡃⠔⢂⠅⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠃⢆⠡⠂⣿⠈⠻⣧⣠⢈⣿⣿⣥⣿⣿⣤⡾⢹⣿⡄⠱⡈⠆⡌⢸⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠌⡠⢁⠂⣿⡈⠐⠠⢉⣛⣏⣘⣻⣣⡞⠃⠄⠂⣿⣿⣦⣁⣌⣐⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
🤦‍♂️🤦‍♂️
( ➖ー➖)っ
If you'd like to report a bug or suggest a feature, you can provide feedback here. Here's our privacy policy. Thanks!