Face Dot Art

Copy & Paste Face Dot Art Emojis & Symbols

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

Related Text & Emojis

If you'd like to report a bug or suggest a feature, you can provide feedback here. Here's our privacy policy. Thanks!
AI Story Generator - AI Chat - AI Image Generator Free