Kirby Sitting Emojis & Text

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣤⠤⠤⠴⠤⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠲⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⢀⣄⠀⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⣾⣠⠎⠀⣸⠁⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⠃⣾⣿⡏⠀⢰⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⠷⠻⠟⠀⠀⠸⣿⠏⠀⠀⢠⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀ ⢠⡴⢦⣤⣄⠀⡇⠀⠀⠀⢰⣶⣶⡄⠀⠀⠀⠈⠛⠛⠯⠿⠃⠀⠀⠀⠀⠀⠀⢸⡘⠀⠀ ⢸⣹⢿⣾⣹⢿⣿⠀⠀⠀⠀⠹⠏⠀⠀⠀⠀⠀⠀⠀⣀⣶⣆⣀⠀⠀⠀⠀⠀⠀⣿⡀⠀ ⠘⣭⢷⣫⡽⣯⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢶⣻⠽⣶⣫⣟⣷⡄⠀⠀⠀⠀⠘⢖⡀ ⠀⠘⣯⢷⣻⣽⣻⣿⡄⠀⠀⠀⠀⠀⠀⢀⣼⣳⣻⢞⣟⣳⡽⣞⣳⢿⡀⠀⠀⠀⠀⠘⣡ ⠀⠀⠈⢯⢷⣞⣷⣻⣿⣄⠀⠀⠀⠀⢠⣿⣳⡽⣳⣟⣾⡳⣿⠽⣯⣟⣧⠀⠀⠀⠀⠀⠸ ⠀⠀⠀⠀⠙⢞⣾⣳⢿⣿⣷⢤⠀⠈⢿⣳⣳⢟⣳⡽⣶⣻⣽⡻⣗⣯⠷⡄⠀⠀⠀⠀⡬ ⠀⠀⠀⠀⠀⠀⠱⢏⣿⡿⠁⠀⠉⠶⣸⣷⢏⡿⣷⢿⢷⡿⣶⢿⣹⡎⠁⠈⠳⠶⠶⠊⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠫⣿⣝⡷⣯⠿⣝⣯⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠤⠠⢤⢤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠖⠊⠉⠉⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠒⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡖⠁⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠋⠀⡴⢋⣟⠄⠀⢠⣴⠟⠻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡈⠐⣀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃⠀⣼⢀⣼⠟⠀⠀⣼⡇⠀⣶⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠂⠄⡈⠄⡈⢳⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⢀⣺⣿⣿⠇⠁⠀⢳⣿⣿⣿⡿⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠌⠐⡈⡐⠠⠀⢳⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⠀⣾⣿⣿⡟⠀⠀⠀⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠂⢈⠐⠠⠠⢁⠌⠈⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠄⣠⠏⢿⡿⠀⠀⠀⠀⢻⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⢁⠂⡀⠌⡐⢁⢂⡐⠠⢹⡄⠀⠀⠀ ⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⢸⠉⠃⠘⠀⠉⢀⣀⣄⣐⡀⠁⠉⠀⠀⠀⠠⢀⠒⠢⢄⡀⠀⠀⢀⠀⠠⢈⠀⡐⢀⠢⠐⠢⢀⠄⠡⢈⡇⠀⠀⠀ ⢰⣿⢻⣯⣟⡿⣷⣶⣄⡀⢸⡀⠀⠀⠀⠀⠹⣿⣿⣿⡿⠂⠀⠀⠀⠀⠀⠈⠀⠑⠂⠀⠀⠀⠀⠈⡐⢀⠂⠌⡠⢂⢁⠣⠌⠠⠁⡌⡇⠀⠀⠀ ⢸⣏⡿⣶⣏⡿⣷⣏⣿⣿⣿⠀⠀⠀⠀⠀⠀⠹⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣰⣿⣶⣷⣆⡈⠀⠇⡰⠀⠆⠰⢀⠁⠆⡈⣷⠀⠀⠀ ⠸⣯⣟⡷⢯⣟⡷⣯⢿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣼⡾⣟⣯⢷⡯⢿⡽⣿⣯⡱⢀⠉⠄⡁⠂⠌⡐⢀⠘⢧⡀⠀ ⠀⢹⣾⣽⣻⢾⡽⣯⢿⡽⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠨⣠⣿⢿⡽⣽⣫⣞⣯⡽⣯⣟⣷⣻⢿⡄⡁⠂⠄⡁⢂⠐⡀⠂⡘⣧⠀ ⠀⠀⠻⣾⣽⣫⢿⡽⣯⣟⡿⣿⣷⠀⠀⠄⢀⠠⢀⠀⠄⠠⠐⢠⢈⣾⡿⣽⣳⣟⣳⣟⣾⣳⣟⣷⣻⢾⣽⣻⣿⡀⠌⡐⠠⠀⠂⠄⠐⠠⢸⡆ ⠀⠀⠀⠙⣾⡽⣯⣻⣗⣯⣟⣿⣿⣧⡌⠐⡂⠔⡠⠊⡄⢣⠉⢦⣿⠿⣽⣳⣟⣾⣳⣟⡾⣳⣟⡾⣽⣻⣞⣷⣻⡇⡐⠠⢁⠈⠄⠂⢁⠐⣘⣷ ⠀⠀⠀⠀⠈⢻⣷⣻⣞⣳⣟⡾⣿⣿⣷⣅⠘⢢⠁⣇⠸⣄⢫⣿⢯⣟⣷⡻⣾⣵⣻⢾⣽⣳⢯⣟⣷⣻⣞⡷⣯⡇⠰⢁⠂⠌⡐⢀⠂⠠⢐⣿ ⠀⠀⠀⠀⠀⠀⠙⢷⣯⢷⣯⢿⣽⣿⣿⣿⣾⣤⡉⢄⠓⡌⣾⣟⣿⡺⣗⣿⣳⡽⣯⣟⡾⣽⣻⣞⣷⣻⢾⣽⣳⡏⠱⢀⠌⠠⢀⠂⡈⠐⣺⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣞⡿⣞⣿⣿⣿⠏⠀⠻⢦⣌⡐⢻⣟⣶⣻⡽⣞⣷⣻⣗⣯⣟⣷⣻⣞⡷⣯⣟⣾⡟⠶⣁⡢⢈⠁⢂⠐⣀⣓⡿⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⢿⣿⠼⠛⠀⠀⠀⠀⠘⠻⠿⣿⡼⣧⢿⣻⡼⣧⢿⣜⡿⣼⢧⣟⡿⣧⣟⡿⠀⠀⠻⣧⣄⣸⣄⣘⡿⠛⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡽⣯⢷⣻⣽⣻⢾⡽⣯⣟⡾⣽⡷⠋⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢯⣷⣯⣟⣯⣟⣷⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠈⢉⠉⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⡶⠒⠒⠶⣄⣠⡴⠚⠉⠁⠀⠀⠀⠀⠀⠉⠙⠳⢦⡀⠀⠀⠀⠀⠀⠀ ⢠⡏⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⡀⠀⠀⠀⠀ ⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⢱⠀⠀⢠⠉⢡⠀⠀⠀⠀⠀⠻⡄⠀⠀⠀ ⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⣾⠄⠀⢸⣦⣾⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀ ⠀⠘⢧⡀⠀⠀⠀⠀⠀⠀⠈⣿⣿⠀⠀⠸⣿⡿⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀ ⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠈⠁⡴⠶⡆⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄ ⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷ ⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠇ ⠀⠀⠀⣀⡿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡽⣿⡛⠁⠀ ⠀⣠⢾⣭⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⢠⣝⣷⡀ ⢠⡏⠘⠋⠀⠀⠀⠈⠑⠦⣄⣀⠀⠀⠀⠀⠀⣀⡠⠔⠋⠀⠀⠀⠈⠛⠃⢻ ⠈⠷⣤⣀⣀⣀⣀⣀⣀⣀⣀⣤⡽⠟⠛⠿⣭⣄⣀⣀⣀⣀⣀⣀⣀⣀⣤⠞ ⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⠶⠿⠛⠛⠛⠛⠛⠛⠛⠿⠷⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⡾⠟⠛⠛⠛⠿⣦⣄⠀⣠⣴⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⡟⠀⠀⠀⠀⠀⠀⠈⢙⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡎⠉⢱⡀⠀⠀⠀⠀⡜⠁⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀ ⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢸⡇⠀⠀⠀⢰⡇⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀ ⠀⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣶⣿⡇⠀⠀⠀⢸⣿⣶⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀ ⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠸⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣆⠀⠀⠀⠀ ⠀⠀⠀⠹⣷⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⠁⠀⠀⠀⠀⢿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⡀⠀⠀ ⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠁⢠⣶⣶⣶⣦⠈⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⠀ ⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣏⠀⢈⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇⠀ ⠀⠀⠀⠀⠘⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀ ⠀⠀⠀⠀⠀⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀ ⠀⠀⠀⠀⠀⠀⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⣀⣴⡿⠁⠀ ⠀⠀⠀⠀⠀⠀⣸⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⣿⣿⡛⠛⠉⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⠋⠁⠙⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠏⠈⠙⠻⣶⣄⠀⠀⠀ ⠀⢀⣴⣿⣯⣴⡆⠀⠀⠀⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⢰⣶⣬⣻⣷⡀⠀ ⠀⣾⠏⢸⣿⠿⠃⠀⠀⠀⠀⠀⠙⠳⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠶⠋⠀⠀⠀⠀⠀⠈⠻⢿⡿⠹⣿⡀ ⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⢦⣤⣤⣀⣀⠀⢀⣀⣠⣤⣤⠶⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⡇ ⠀⠻⣷⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣬⣿⠟⠛⠻⣿⣯⣥⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⡿⠃ ⠀⠀⠀⠉⠛⠛⠿⠿⠶⠶⠶⠶⠶⠿⠿⠿⠟⠛⠛⠋⠉⠀⠀⠀⠀⠀⠉⠉⠛⠛⠻⠿⠿⠿⠶⠶⠶⠶⠶⠾⠿⠛⠛⠋⠁⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠶⠚⠋⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⠋⠀⣀⣀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⠞⠁⠀⠀⣴⠃⣼⠀⠀⣰⡇⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠒⠒⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠚⠉⠀⡄⠀⠀⠀⢸⣿⣿⡿⠀⠀⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠏⠁⠀⠀⡰⠁⠀⣀⡀⢸⣿⣿⠇⠀⠀⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣄⠀⠀⠱⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⣀⡀⡀⠀⢾⣯⣭⠟⠉⢋⣀⣀⣀⡨⠍⠁⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠲⠯⢭⣅⣈⡀⠀⠀⠱⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡾⠀⠀⠒⢺⢀⡇⠀⠀⠀⠀⠀⠀⠈⠻⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡄⠀⠀⠀⠀⠀⠀⠀⠱⡄⠀⠀ ⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠈⡎⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣶⡄⠀⠀⠀⠀⠀⠀⠙⣆⠀ ⠀⠀⢠⡞⠁⠀⢷⣄⠀⣴⣾⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠙⢶⣤⡀⠀⠀⠀⠀⠘⠀ ⠀⠀⣾⠃⠀⠀⣈⣻⣿⣿⠟⠁⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠏⠀⠀⠀⢹⡏⢦⠀⠀⠀⠀⠀ ⠀⢠⡏⠀⠀⣰⣿⢠⣾⠟⠀⠀⠀⠘⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡴⠋⠀⠀⠀⠀⠈⠻⣿⡄⠀⠀⠀⠀ ⠀⡼⠀⠀⢰⣿⠿⠛⠁⠀⠀⠀⠀⠀⠈⣿⠷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠖⠋⠉⠁⢸⡁⠀⠀⠀⠀⠀⠀⠀⣠⠃⠀⠀⠀⠀ ⢠⡇⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠉⠛⠶⣦⣤⣀⣀⣶⣤⠞⠋⠁⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⣸⣿⢦⣤⡀⠀⠀ ⢸⣴⠀⣤⢶⣿⠀⠀⠀⠀⠀⠀⠀⠀⢰⠿⡆⠀⠀⠀⠀⠀⠈⣽⡟⠛⣧⡀⠀⠸⡄⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠹⣧⣴⠟⢇⢀⣀ ⠘⣯⣜⠁⠘⠿⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⣿⣄⠀⠀⠀⠀⣠⡿⠀⠀⠘⣷⡄⠀⠹⡆⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣾⠟ ⠀⠹⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣟⣿⣧⡄⠀⢰⡿⠁⠀⠀⠀⠘⣷⣀⣠⢷⣽⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡛⠻⣿⣶⣿⠃⠀⠀⠀⠀⠀⠘⣿⣏⢀⣤⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⡶⣮⣽⡏⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡶⠟⢱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠿⠛⠛⠙⡄⠀⠀⠀⠀⠀⠀⣰⠿⣟⠉⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⢀⣵⠀⠀⠀⠀⠀⠀⢿⠀⢸⡀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣏⠀⠀⢠⣼⠏⠀⠀⠀⠀⠀⠀⠈⢿⣄⠃⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣷⣶⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡛⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣼⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣷⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

𓀻

⠀⠀⠀⠀⠀⢀⠴⠚⠉⠉⠑⠦⠴⠚⠋⠉⠒⢄⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠋⠀⠀⠀⠀⠀⠀⠀⠸⣄⠀⢘⡄⢷⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣏⠀⣼⠀⠀⠀ ⠀⠀⠀⠀⠈⢇⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢠⠏⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢣⡳⣄⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠢⣕⠢⢄⢀⡠⠖⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⡴⠒⠦⣄⠀⠀⠀⠉⠉⠁⠀⠀⣀⡤⠤⢄⡀⠀⠀ ⢀⡞⠁⠀⠀⠀⠈⠛⠉⠉⠉⠉⠉⠉⠲⠏⠀⠀⠀⠘⢦⠀ ⢸⡇⠀⠀⠀⠀⢀⡖⢳⠀⣠⠺⡄⠀⠀⠀⠀⠀⠀⠀⢘⡆ ⠀⢻⠇⠀⠀⢀⣾⣶⡏⢀⣿⣴⠇⠀⠀⠀⠀⠀⠠⢀⡾⠀ ⠀⡏⢠⠖⠓⡾⢿⡿⠀⠸⣿⣿⢠⠀⠢⣄⠀⠀⠀⢻⠀⠀ ⢸⠀⠈⠛⠚⠁⠀⠀⠺⠃⠈⠁⠐⠦⣴⠿⠀⠀⠀⢸⡆⠀ ⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀ ⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡄⠀ ⠀⠈⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⣧⠀ ⠀⠀⡯⠙⠲⣄⡀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠖⠋⠀⠀⡟⠀ ⠀⠀⢳⣤⢡⣤⠉⠛⣲⡶⠒⠲⣞⠛⢉⣀⠀⠀⠀⣼⠃⠀ ⠀⠀⠀⠙⠓⠧⠴⠚⠉⠀⠀⠀⠙⢦⣀⠈⠁⣀⡴⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⠿⠿⠛⠛⠋⢉⠉⠉⠉⠉⠉⠉⠉⠉⠙⠛⠛⠛⠿⢿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⠟⠋⠉⠀⠀⠀⠀⢰⣾⣂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠈⠀⠀⠀⠉⠛⠿⣶⣤⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠛⠉⠀⠀⠀⠄⠂⠀⢀⣶⡿⠛⢿⡿⠀⠀⠀⠈⠰⠁⡀⣤⣽⣶⡄⠂⠀⢀⠀⠀⠀⠀⠉⠛⢶⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⠿⠋⠐⢀⠂⠐⠀⢈⠰⢀⢢⣿⠏⠀⠀⣼⡇⡃⠄⠂⠐⠠⢢⣿⠏⠀⠙⣿⠀⠀⠀⡀⠂⠀⠄⠀⠀⠀⠘⠻⣦ ⠀⠀⠀⠀⠀⢀⣴⠿⠃⠐⠀⠈⠂⠀⠠⠁⠀⠢⢰⣿⡏⠀⠀⢠⣿⠃⠁⠄⠂⠱⣰⣿⠇⠀⠀⢰⣿⡇⠀⠀⠀⠀⠀⠄⠁⠀⠁⠠⠁⠈ ⠀⠀⠀⡀⣤⣿⠋⠠⠐⠀⡀⠂⠈⠀⠠⠀⢀⢡⣿⣿⣇⣀⣴⣿⡏⠀⢀⠂⠄⣧⣿⣿⠀⠀⢀⣾⣿⠁⠀⠀⡀⠂⠀⠠⠀⠂⠀⠀⠀⠀ ⠀⠀⢈⣼⡟⠁⠠⠁⠂⠀⠀⠐⠀⡁⠠⠂⡀⣾⣿⣿⣿⣿⣿⡟⣰⠀⠂⠀⢰⣻⣿⣷⣦⣤⣾⣿⡏⠀⠀⢀⠀⠀⡐⠀⠠⠐⠀⡀⠀⠀ ⣠⣄⣾⠃⡀⠀⠐⠀⢀⢠⣀⢄⡀⠀⠁⠀⢀⣿⣿⣿⣿⣿⡟⠀⠀⠀⠐⠀⡁⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠂⠀⠀⠄⠀⠄⠀⠀⠀ ⣿⣿⠃⠀⡀⠁⠈⠐⣬⢷⡹⢮⡝⣆⠀⠀⠀⣿⣿⣿⣿⠏⠀⠀⠀⠁⠀⠀⡡⣿⣿⣿⣿⣿⣿⠃⠀⠈⠠⠐⠀⠠⠀⠂⠀⠠⠀⠀⠀⠀ ⣾⣧⠀⠀⠐⠀⠀⠀⠈⠫⠝⠧⠛⠀⠀⠀⠀⠹⠿⠟⠁⡀⢤⣤⣤⣀⠠⠀⠑⢻⣿⣿⣿⡿⠁⠀⠀⠐⠀⡀⢀⡀⢀⠀⠀⠁⠠⠀⠀⠀ ⣿⡇⠀⠀⠀⠄⠂⠄⠀⡀⠀⠀⠠⠐⠀⡄⠀⠀⠀⠀⠀⠀⣺⣿⣿⣿⣷⠆⠀⠈⠛⠿⠋⠀⠀⢀⠀⢂⡷⣹⢧⣛⢧⣖⡠⠀⠀⢀⠀⠀ ⡏⠁⠠⠀⢀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⣹⣿⡿⢻⡏⠀⠀⠀⠀⠀⠀⠀⠄⢀⠀⠹⢜⡳⢮⡝⣾⢸⠓⡀⠁⠀⠀⠀ ⠃⠀⠐⠀⡀⣦⣬⣤⣤⣴⣄⣂⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⢼⣏⢻⡿⠃⠀⠀⠉⠀⠀⠀⠀⠄⠀⠀⠀⠀⠉⠂⠙⠀⠁⡀⠀⠀⠁⠀⠀ ⠀⠀⢀⣂⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣾⣿⣿⣧⣤⣤⣤⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢁⠀⠄⠀⠀⠀⠀ ⠀⠀⠉⠉⠉⠻⣿⣿⣳⣯⢿⣽⣻⡽⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣤⠀⠀⠀⡀⠀⠂⠀⠀⠀ ⠀⠀⠠⢀⠀⠀⠈⢿⣿⡾⣯⡷⣿⣽⣻⣾⡟⠁⢹⣿⡿⠻⢿⣿⣳⣯⢿⡽⣯⣟⣿⣻⣟⡿⣿⢿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠁⠀⠀ ⠀⠀⢀⠀⠠⠀⠀⠈⢿⣿⣷⣻⣷⣿⣿⣿⡇⠀⢸⣿⣷⣄⣰⣿⣿⡽⣯⣟⣷⣻⣞⡷⣯⣿⣿⠟⠋⠉⠉⠉⠉⠉⠙⠓⠤⣄⡀⠀⠀⠀ ⠀⠀⠀⡀⠄⠀⠀⠀⢹⣿⣿⠋⠁⣠⣀⡀⠀⠀⣿⣿⠋⠉⣿⣿⣿⠿⠟⠛⠿⢿⣾⣿⣿⠟⠁⠀⠀⡀⠐⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠀⠀⠡⠀⢿⣿⡏⠀⣸⣿⣿⣷⠀⢠⣿⣿⠀⠀⣿⡿⠁⢀⣤⡤⠀⠀⢿⣿⠏⠀⠀⠀⠂⠀⠀⠀⠂⠀⠁⡀⢀⠀⠐⠀⠀⠀ ⠀⠀⠄⠀⠠⠁⢀⢩⣾⣿⣇⠀⠹⢿⣿⠿⠀⢸⣿⡗⠀⢰⣿⡃⠀⠀⠀⣀⣤⣶⣿⣿⠀⠀⠂⠐⠀⠀⡀⠂⠀⡀⠁⠀⠀⠀⠈⠀⠀⠀ ⡀⢀⠀⠁⢠⡐⣮⣾⣿⡿⣿⣷⣄⣈⣉⣀⣀⣸⣿⣇⠀⢸⣿⣧⡀⠈⠛⠿⠟⠉⢿⣿⡆⠀⠀⠁⠀⠀⠀⡀⢀⠀⠄⠁⡀⠈⠀⢁⠀⠀ ⣼⡢⢎⣷⣣⣾⣿⣿⣯⣟⣷⣻⣿⣿⣿⣿⣿⢿⣿⣿⣿⡿⣟⣿⣿⣶⣦⣴⣴⣶⣿⣿⣿⡠⢀⠈⠀⠐⠀⠀⠀⠠⠀⢂⠀⠄⠁⢂⠀⣀ ⣿⣿⣿⣿⢟⠫⣍⢛⡹⢛⡛⡟⠿⠿⠿⡿⣿⣿⣿⣿⣷⣿⣯⣷⣯⣿⣽⣻⣟⣿⣻⣟⣿⣷⡍⡖⢤⣈⠐⡈⠠⢁⠂⠄⢠⢀⣂⢦⢳⠰ ⣿⢯⡿⣿⣯⡖⣡⠏⣔⠫⠴⡙⡬⢃⡳⣘⡔⠲⡤⡩⢍⡍⢏⡛⣛⢛⠻⠟⡿⢿⣿⣿⣾⣿⣿⣜⠦⣌⠳⢥⡓⢮⡜⣎⠳⡜⣬⢳⢣⡙ ⣿⢯⣟⡿⣿⣿⣇⣞⣌⢣⠏⣜⡡⢏⠴⣡⠚⡥⢣⡱⢣⠜⣪⠱⡌⡎⣝⢪⢱⣒⢦⣲⠱⣬⢽⡻⢿⣮⣝⢦⡙⢣⡚⢬⢓⣙⢒⡫⢆⡹

⠀⠀⠀⠀⠀⣀⡀⠀⢀⣀⠀⠀⠀ ⠀⠀⠀⡐⠁⠀⠀⠉⢡⡀⢈⢂⠀ ⠀⠀⠀⢇⡀⠀⠀⠀⠀⠀⠃⡜⠀ ⠀⠀⠀⠈⢒⢄⠀⠀⠀⢀⠔⠁⠀ ⠀⠀⡠⠄⡀⠈⠚⠒⠊⠀⣀⣀⠀ ⠠⡊⠀⠀⢈⠍⠀⣈⠉⠋⠀⠀⠱ ⠀⡳⠀⠀⣮⡎⣸⡼⠀⠀⠀⢀⡴ ⢠⠁⠧⠜⠙⢰⠙⠃⢅⡵⠀⠀⡇ ⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⢰⣄⠀⠀⠀⠀⠀⠀⠀⢀⠜⢵ ⠀⠸⡄⣑⠢⢤⡤⢤⠤⣚⠁⠀⡎ ⠀⠀⠈⠐⠂⠁⠀⠀⠓⠤⠥⠒⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠆⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠋⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠐⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⡼⠇⠀⠀⠀⠘⡆⠀⠀⠐⠀⠀⠀⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠓⠢⢼⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⣠⠎⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠈⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⢀⡼⡇⠀⠀⠀⠀⠀⠀⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⢠⠞⠀⢹⡄⠀⠀⠀⠀⠀⠘⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⣰⠁⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⢹⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⢰⠋⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⢸⡁⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⡿⣯⡷⡴⢦⣤⡠⣶⡶⠀⢷⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⡾⠀ ⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⣼⣥⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⠀⠈⢧⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢀⡇⠀ ⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠉⠙⠻⢿⣿⣿⣿⣿⣿⣿⠛⢦⠀⠀⢸⡇⠀⠀⠀⠀⠀⢸⡇⠀ ⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⠳⠀⢳⡀⢹⡇⠀⠀⠀⠀⠀⡾⡇⠀ ⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡿⠘⠀⠀⠹⣼⡇⠀⠀⠀⠀⢠⠇⠀⠀ ⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡿⠁⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⡾⠀⠀⠀ ⠀⠀⢠⡏⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠁⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⢸⠁⠀⠀⠀ ⠀⠀⡾⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⡟⠀⠀⠀⠀ ⠀⣴⠓⣾⣳⣀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠃⠀⠀⠀⠀⠀⠀⢸⡇⢀⠇⠀⠀⠀⠀ ⣾⠃⠀⠀⠀⠑⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠈⡇⢸⠀⠀⠀⠀⠀ ⠹⡀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣾⠀⠀⠀⠀⠀ ⠀⢳⡄⠀⠀⠀⠀⠘⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⣿⠀⠀⠀⠀⠀ ⠀⠀⣷⡄⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⡏⠀⠀⠀⠀⠀ ⠀⢀⡇⢹⣄⠀⠀⠀⠀⣀⠉⠓⠶⢄⡀⠀⠀⠀⠀⠀⢀⣠⠴⠋⠣⣄⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⣸⣧⠀⠀⠀⠀⠀ ⠀⣴⣿⠋⠘⣆⠀⢰⠶⠤⢍⣛⣶⠤⠿⣷⣦⡀⠒⠚⡟⠀⠀⠀⠀⠈⠛⠢⠤⡄⠀⠀⢀⡴⢯⠴⣳⠇⠀⠀⠀⠀⠀ ⠀⠀⠉⠀⠀⠘⢦⡈⠻⣖⠤⣤⣉⣉⣹⣯⣭⠉⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠛⣫⣼⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠑⣄⠉⢦⡀⠀⠀⠈⠉⠁⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢿⣷⢚⡝⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢶⣷⠇⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠷⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡶⠾⠛⠛⠋⠉⠉⠉⠉⠉⠛⠛⠻⠶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠷⣦⣄⣤⣤⣤⣤⣤⣤⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠈⠙⢿⣄⠀⠀⠀⠉⠙⠻⣦⡀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠉⠳⣄⠀⠀⠀⠀⢸⠁⠈⢣⠀⠀⠀⠙⢧⡀⠀⠀⠀⠀⠹⣧ ⠀⠀⠀⠀⠀⠀⢠⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠸⡆⠀⠀⠀⠸⣇⠀⠈⣧⠀⠀⠀⠀⠻⣄⠀⠀⠀⠀⣿ ⠀⠀⠀⠀⠀⣰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⣀⣠⣿⠀⠀⠀⠀⢻⣷⣾⣿⡆⠀⠀⠀⠀⠹⣆⠀⠀⢰⡿ ⠀⠀⠀⠀⢠⡿⢀⣠⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⡇⠀⠀⠀⠘⡿⠿⠟⣇⠀⠀⠀⠀⠀⢹⡆⢀⣿⠃ ⠀⠀⠀⢠⣾⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡌⠉⠀⡇⠀⠀⠀⠀⠹⡀⠀⡏⢀⣴⣿⣿⣿⠀⢿⡿⠁⠀ ⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣶⣶⣶⡄⠀⠳⣤⡼⠁⠀⠀⠀⠀⡀⠙⠚⠁⠈⠛⠟⠛⠉⠀⢸⣧⠀⠀ ⢀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠿⠿⠃⠀⠀⠀⠀⠀⠘⠓⠒⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀ ⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⢶⣿⣿⡛⠛⠛⠓⠶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀ ⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠞⠋⠁⠐⠛⠛⠋⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀ ⠈⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⠀ ⠀⠀⠉⠛⠷⢶⣶⠶⠶⠶⠖⠛⠋⠁⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣦⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⢠⣾⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣷⣀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⢀⣴⡿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣶⣄⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⢀⣤⣿⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⣠⡴⠋⣹⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣋⣠⡴⠶⠛⠁⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠟⠉⠉⠀⠀⠀⠀⠀⣴⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢷⣤⣄⣀⣀⣀⣤⡴⠞⠋⠀⠀⠀⠀⠀⠀⠀⢀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀⠀⠀⠀⠀⢀⣤⣶⠆⢀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣄⠀⠀⠀⠙⣛⣡⣶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⠿⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠿⠿⠿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣤⣤⣤⣀⡀⠀⢠⣾⠟⠁⠀⠀⠀⠈⠻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⠾⠛⠛⠉⠉⠉⠉⠉⠉⠉⠙⢻⡿⠿⣿⣄⡀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣠⣴⣶⣶⣦⣤⣄⡀⠀⢀⣠⣶⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⣰⢦⡄⠀⠀⠸⣏⢳⣄⠉⠙⢷⣦⡀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣿⠟⠁⠀⠀⠀⠈⠙⠻⣷⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣮⣿⣆⠀⠀⢿⣿⣿⣧⠀⠀⠈⠻⢶⣄⣰⣿⠀⠀⠀⠀⠀⠀⠀⢠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⡆⠀⠀⠙⢿⣿⠀⠀⠀⠀⠀⠙⣿⣏⠀⠀⠀⠀⠀⠀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⣠⡾⠀⠀⠀ ⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠇⠀⠀⠀⠀⠈⢀⣀⠀⠀⠀⠀⠈⢿⣧⠀⠀⠀⠀⠚⠁⠀⠀⠀⠀⠀⠀⢀⣤⡾⠋⠀⠀⠀⠀ ⠈⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠞⠉⠉⠉⠉⠲⣄⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⠿⠋⠀⠀⠀⠀⠀⠀ ⠀⠹⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋⠀⠀⠀⠀⠀⠀⠀⢹⣾⠃⠀⠀⢻⣦⠀⠀⠀⠀⢀⣤⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠘⣿⡆⠀⠀⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢘⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⡟⠛⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⡀⡀⠀⠀⠀⠀ ⠀⠀⠀⢸⡇⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠙⠛⠻⠿⠷⠦ ⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⢀⣀⣀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡟⠋⠉⠉⠉⠉⠉⠓⠶⣤⣘⣿⡀⠀⠀⢰⣿⣆⡀⠀⠀⠲⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣷⡄⠀⣾⡿⠿⢿⣦⡀⠀⠀⠈⠻⢷⣦⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠉⢠⡿⠀⠀⠀⠘⢿⣆⠀⠀⠀⠀⠙⠻⣷⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⣾⠁⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠙⠿⣦⡀⠀ ⠀⠀⠀⠀⠀⠈⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠙⠶⣄⡀⠀⠀⠀⣀⣴⠟⢀⣾⠃⠀⠀⠀⠀⠀⣰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦ ⠀⠀⠀⠀⠀⠀⠀⠻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠋⠁⠀⢠⣾⣇⣀⣀⣀⣤⣴⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠟⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡿⠁⠉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠈⠛⠷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⣶⣤⣤⣤⣄⣀⣀⣠⣤⣤⣴⡾⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠛⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⢿⣤⣀⣀⣠⣤⣤⣶⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⠈⣉⣉⣉⣉⡉⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣤⣤⣶⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠛⠉⠙⠛⠛⠛⠛⠻⢿⣿⣷⣤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠋⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠈⢻⣿⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⣿⡏⠀⠀⠀⣠⣶⣾⣿⣿⣿⠿⠿⠿⢿⣿⣿⣿⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠁⠀⠀⢰⣿⣿⣯⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣷⡄⠀ ⠀⠀⣀⣤⣴⣶⣶⣿⡟⠀⠀⠀⢸⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⠀ ⠀⢰⣿⡟⠋⠉⣹⣿⡇⠀⠀⠀⠘⣿⣿⣿⣿⣷⣦⣤⣤⣤⣶⣶⣶⣶⣿⣿⣿⠀ ⠀⢸⣿⡇⠀⠀⣿⣿⡇⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀ ⠀⣸⣿⡇⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠉⠻⠿⣿⣿⣿⣿⡿⠿⠿⠛⢻⣿⡇⠀⠀ ⠀⣿⣿⠁⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⠀⠀ ⠀⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀ ⠀⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀ ⠀⢿⣿⡆⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀ ⠀⠸⣿⣧⡀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠃⠀⠀ ⠀⠀⠛⢿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⣰⣿⣿⣷⣶⣶⣶⣶⠶⠀⢠⣿⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⣿⣿⡇⠀⣽⣿⡏⠁⠀⠀⢸⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⣿⣿⡇⠀⢹⣿⡆⠀⠀⠀⣸⣿⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⣿⣦⣄⣀⣠⣴⣿⣿⠁⠀⠈⠻⣿⣿⣿⣿⡿⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠿⠿⠿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⡠⠒⠉⢉⣑⠢⣄⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡜⠀⠀⠎⢦⠀⣨⠞⠁⠀⠀⠙⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⢀⡀⠀⠀ ⠀⢸⠀⠀⠀⢂⠈⡟⢡⠎⣀⣤⠀⠀⡇⠀⠀⠀⠀⠀⡀⠀⡠⠊⢠⠞⢁⡽⡄⠀ ⠀⡇⠀⠀⠀⠀⣜⣤⡷⠉⠘⡠⠱⡴⠀⠀⠀⠀⠀⡏⠈⠳⠁⠀⠁⠠⠃⢀⠇⠀ ⠀⡇⠀⠀⠀⡸⢸⠁⠔⠒⣄⠃⢸⠜⠊⠉⠑⡄⠀⠈⡆⠀⡀⡀⠀⠀⠀⠎⠒⢢ ⠀⡼⠀⠀⠀⡗⠉⠀⠃⠀⢿⠄⠉⠀⠀⠀⠀⡸⠀⠀⣥⠀⠁⠡⠂⠀⢀⠤⠴⠊ ⢸⠀⠀⠀⢀⠑⠤⠤⢄⠀⢉⠀⢀⣀⣀⣀⣴⡇⠀⠘⣄⠀⠀⠀⢀⡤⠃⠀⠀⠀ ⠀⠣⢄⡰⠊⣑⠢⠄⠴⠁⢸⣿⣿⣿⣟⡛⡟⠀⢀⠎⠀⠑⠢⡤⠴⠃⠀⠀⠀⠀ ⠀⠀⠀⢣⠀⠊⠑⠀⣀⠀⠀⠈⢟⠁⠲⡇⣧⡔⠁⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠒⠒⠊⢣⠙⠦⡀⠀⠐⠂⡰⢻⠀⠀⠀⢀⠜⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠤⡀⢸⣀⠦⢞⡖⠊⠹⠀⠸⡀⠀⠐⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⣎⠉⠉⠉⠐⠃⠀⢱⡀⡠⠔⢏⠱⡀⡇⠀⠀⠙⠦⣀⠀⡘⢦⠀⠀⠀⠀⠀⠀⠀ ⠀⢉⡯⠀⠠⠇⠈⡽⠋⠀⠀⠈⢢⠈⠁⠀⠀⠀⠀⠀⠉⠁⠀⢣⠀⠀⠀⠀⠀⠀ ⠀⡼⠂⠀⠈⠀⠈⣄⠀⢀⡤⠊⢉⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀ ⢸⣀⡠⢄⡀⠀⠀⠀⢉⠥⠓⠒⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠁⠈⠉⡇⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⠊⢇⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣇⠀⠸⡂⠀⠈⠑⠢⢤⣀⡀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢏⢆⠀⠑⠦⢀⣀⡀⠴⢻⠈⡇⠀⠀⠀⠀⢠⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠢⢕⡢⢤⣀⣀⣀⡠⡞⢠⠁⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠢⠔⠚⠁⡜⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣊⣁⣀⡀⠀⠀⢠⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡮⠤⢄⡀⠉⠲⡀⠘⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠉⠈⠑⢌⢢⠀⠈⢦⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⣀⣇⢣⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⢣⢣⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⡏⡆⡸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠄⣀⣴⠕⠉⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠁⠀⢻⡄⠀⠀⠀⠀⠀⣸⠋⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣄⣠⣾⡧⠀⠀⠀⠀⠀⣿⣦⣀⣼⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡧⠄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⣿⡻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⠖⠋⠉⠉⠓⢦⡀⠀⢿⣤⣴⡿⠀⠀⠀⠀⠀⠀⠸⣷⣤⣼⠇⠀⢀⣠⠤⠀⠠⠤⣄⡀ ⠷⣄⠘⠀⠀⣢⣠⠟⠀⠀⠉⠋⠀⠰⣦⣀⣀⣀⣶⠀⠉⠉⠉⠀⠀⠸⣄⠀⠠⠶⠤⣀⡷ ⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠒⠚⠋⠀

⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠈⠈⠉⠉⠈⠈⠈⠉⠉⠉⠉⠉⠉⠉⠉⠙⠻⣄⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⣄⠀⠀⢀⠀⢀⣀⣤⠄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣉⣩⣤⠴⠶⠶⠒⠛⠛⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠤⠶⠒⠚⠋⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⡍⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣫⣭⣷⠶⢶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠶⠶⠖⠚⠛⠛⣹⠏⠀⠀⠀⠀⠀⠀⠀⠀⠴⠛⠛⠉⡁⠀⠀⠙⠻⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡷⠷⢿⣦⣤⣈⡙⢿⣿⢆⣴⣤⡄⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣤⡀⣸⡄⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣟⣩⣤⣴⣤⣌⣿⣿⣿⣦⣹⣿⢁⣿⣿⣄⣀⡀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣿⠋⠻⢿⡁⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠿⠛⢦⣽⣿⣿⢻⣿⣿⣿⣿⠋⠁⠘⣿⣿⣿⣿⣿⣿⣼⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⠁⠀⠀⠙⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠿⣿⣯⣼⣿⡿⠟⠃⠀⠀⠀⣿⣿⣿⣿⣿⡛⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣧⣴⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣺⠟⠃⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⢁⣀⣀⣀⣀⣀⣠⣀⣀⢀⢀⢀ ⠀⠀⢿⠿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠙⠛⠛⠙⢻⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡇⠀⠘⠃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡟⢿⣿⣆⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⡼⠁⢀⣀⡀⠀⠀⠀⣦⣄⠀⣠⡄⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⣬⢻⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⣰⣿⡿⠿⠦⢤⣴⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠒⣿⣿⣿⡿⠟⠹⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡖⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⣾⣿⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣆⣀⣀⣤⣴⣶⣶⣾⣿⣷⣦⣴⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡇⣿⣿⡛⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢾⡟⠛⠛⠻⠛⠛⠛⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠓⢁⣬⣿⠇⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⢰⡿⣻⠇⠀⠀⠀⠀⠀⣠⣶⣶⣶⣶⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢐⣯⠞⠁⠀⠀⠀⠀⠀⠀⣄⠱⣄⠀⠀⠀⠀⠸⡧⠟⠆⠀⠀⠀⠀⠘⠿⢿⠿⠿⣿⡿⣿⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡈⠂⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢠⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⡄⠀⠀⠑⠄⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣦⣦⣼⡏⠳⣜⢿⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⢠⣷⣦⣤⣀⣀⣀⣴⣿⣿⣿⣿⣿⡿⠻⠆⠸⣎⣧⠀⠈⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣠⡄⠀⣿⢹⡇⢸⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿

╱|、 (˚ˎ 。7 |、˜〵 じしˍ,)ノ

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⠀⠀⠀⣀⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣤⡀⠀⠀⠀ ⠀⣠⣾⡿⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠻⣿⣷⡀⠀ ⢰⣿⡏⠀⠀⠀⣶⣶⣆⠀⠀⣶⣶⠀⢰⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⡄ ⣿⣿⠀⠀⠀⠀⣿⣿⢿⣧⡀⣿⣿⠀⢰⣶⡆⢰⣶⣦⠴⢶⣦⡄⠛⣿⣿⠛⢀⣤⡖⠒⣶⣄⠀⣴⣶⡦⠶⣶⣦⡀⢀⣴⡶⠶⣿⣿⠀⢠⣴⡖⠒⣦⡄⠀⠀⠸⣿⡇ ⣿⣿⠀⠀⠀⠀⣿⣿⠀⢻⣿⣿⣿⠀⢸⣿⡇⢸⣿⡏⠀⠈⣿⣿⠀⣿⣿⠀⢾⣿⡟⠛⠛⠛⠂⣿⣿⡇⠀⢸⣿⡇⢸⣿⡇⠀⣿⣿⠀⣿⣿⠀⠀⣿⣿⠀⠀⢠⣿⡇ ⠸⣿⣇⠀⠀⠀⠿⠿⠀⠀⠹⠿⠿⠀⠸⠿⠇⠸⠿⠇⠀⠠⠿⠿⠀⠿⠿⠀⠈⠻⠧⠤⠿⠟⠀⠿⠿⠇⠀⠸⠿⠇⠘⠿⣧⡤⠿⠿⠀⠘⠿⠧⠴⠿⠋⠀⢀⣾⣿⠃ ⠀⠙⢿⣷⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣿⡿⠁⠀ ⠀⠀⠀⠉⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠉⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⢀⣤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⢤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡼⠋⠀⣀⠄⡂⠍⣀⣒⣒⠂⠀⠬⠤⠤⠬⠍⠉⠝⠲⣄⡀⠀⠀ ⠀⠀⠀⢀⡾⠁⠀⠊⢔⠕⠈⣀⣀⡀⠈⠆⠀⠀⠀⡍⠁⠀⠁⢂⠀⠈⣷⠀⠀ ⠀⠀⣠⣾⠥⠀⠀⣠⢠⣞⣿⣿⣿⣉⠳⣄⠀⠀⣀⣤⣶⣶⣶⡄⠀⠀⣘⢦⡀ ⢀⡞⡍⣠⠞⢋⡛⠶⠤⣤⠴⠚⠀⠈⠙⠁⠀⠀⢹⡏⠁⠀⣀⣠⠤⢤⡕⠱⣷ ⠘⡇⠇⣯⠤⢾⡙⠲⢤⣀⡀⠤⠀⢲⡖⣂⣀⠀⠀⢙⣶⣄⠈⠉⣸⡄⠠⣠⡿ ⠀⠹⣜⡪⠀⠈⢷⣦⣬⣏⠉⠛⠲⣮⣧⣁⣀⣀⠶⠞⢁⣀⣨⢶⢿⣧⠉⡼⠁ ⠀⠀⠈⢷⡀⠀⠀⠳⣌⡟⠻⠷⣶⣧⣀⣀⣹⣉⣉⣿⣉⣉⣇⣼⣾⣿⠀⡇⠀ ⠀⠀⠀⠈⢳⡄⠀⠀⠘⠳⣄⡀⡼⠈⠉⠛⡿⠿⠿⡿⠿⣿⢿⣿⣿⡇⠀⡇⠀ ⠀⠀⠀⠀⠀⠙⢦⣕⠠⣒⠌⡙⠓⠶⠤⣤⣧⣀⣸⣇⣴⣧⠾⠾⠋⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣭⣒⠩⠖⢠⣤⠄⠀⠀⠀⠀⠀⠠⠔⠁⡰⠀⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⢤⣀⣀⠉⠉⠀⠀⠀⠀⠀⠁⠀⣠⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠒⠲⠶⠤⠴⠒⠚⠁⠀⠀

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⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜🟥🟥⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟥🟥⬜🟥⬜⬜🟥⬜🟥🟥⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛🟥🟥🟥⬜🟥🟥🟥🟥⬜🟥🟥🟥⬛⬜⬜⬜⬜ ⬜⬛⬛⬜⬛⬜⬜⬛🟥🟥⬛⬛⬛⬛⬛⬛🟥🟥🟥⬛⬜⬜⬜⬜ ⬛⬜⬜⬛⬛⬜⬜⬛⬛⬛🟥🟥🟥🟥🟥🟥⬛⬛🟥🟥⬛⬜⬜⬜ ⬛⬜⬜⬜⬛⬜⬜⬛🟥🟥⬛⬛⬛⬛⬛⬛🟥🟥⬛🟥⬛⬜⬜⬜ ⬜⬛⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜🏻🏻⬜⬜⬛⬛🟫⬛⬛⬜⬜⬜ ⬛⬜⬜⬜⬛⬜⬜⬜⬛⬜⬜⬛🏻🏻⬛⬜⬜🏻🟫🏻🏻⬛⬜⬜ ⬛⬜⬜⬜⬛⬜⬜⬜⬛⬜⬜⬛🏻🏻⬛⬜⬜🏻⬛🏻🏻⬛⬜⬜ ⬛⬜⬜⬜🟦⬛⬛⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛🏻⬛⬜⬜ ⬜⬛⬛🟦🟦🟦🟦⬛🏻🏻⬛🏻🏻🏻🏻⬛🏻🏻🏻⬛🏻⬛⬜⬜ ⬜⬜⬜⬛⬛⬛⬛🟥⬛⬛⬛⬛🏻🏻⬛⬛⬛⬛🏻⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬛🟥🟥🟥⬛⬛⬛⬛⬛⬛⬛⬛⬛🏻⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🟥🟥🟥🟥⬛🏻⬛⬛⬛⬛🏻🏻⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟥🟥🟥⬛⬛🏻🏻🏻🏻⬛⬛🟥🟥⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟥🟥🟥🟦🟦⬛⬛⬛⬛🟥🟦⬛🟥🟥🟥⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟥🟦🟦🟦🟦🟥🟥🟥🟥🟦⬛🟥🟥🟥🟥⬛⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟦🟦🟨🟨🟦🟥🟥🟦🟨🟨⬛🟥🟥🟥⬛⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟦🟦🟨🟨🟦🟦🟦🟦🟨🟨⬛🟥🟥🟥⬛⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛🟥🟥⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟦🟦🟦🟦🟦⬛⬛⬛⬛🟦🟦🟦🟦🟦⬛⬜⬜⬜ ⬜⬜⬜⬛⬛⬛🟦🟦🟦🟦⬛⬛⬛⬛⬛⬛🟦🟦🟦🟦⬛⬛⬛⬜ ⬜⬜⬛⬛🏻🏻🟫🟫🟧🟧🟫⬛⬜⬜⬛🟫🟧🟧🟫🟫🏻🏻⬛⬛ ⬜⬜⬜⬛🟧🟧🟧🟧🟧🟧🟧⬛⬜⬜⬛🟧🟧🟧🟧🟧🟧🟧⬛⬜ ⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬜⬜

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⠀⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣧⡀⢿⣿⣿⣿⡏⠀⠀⠀⠀⣺⣿⣻⣿⣿⣿⣿⣿⣿⣼⢾⣿⣿⣿⣿⣿⣿⣤⣄⣀⠀⠀⠀⠀⠀⠐⣀⠠⣀⣶⣼⣿⣿⣿⣿⣿⣿⣷⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢾⣿⣿⣟⣼⣿⣿⣿⣿⣿⣿⣿⣷⠈⣿⣿⣿⡇⠀⢠⣴⣿⣿⢛⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⢹⣿⣿⣯⣿⣿⣿⣿⣿⣿⣷⣿⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⣿⣿⣿⣿⡾⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⠇⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠈⠉⠁⠙⢿⣿⣯⢿⣽⣻⣟⡿⣿⢿⡿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣷⢯⣟⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢿⣿⣿⣿⣷⣙⠿⣿⣿⣿⣿⣟⣡⣿⣿⣿⣿⠃⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠋⠀⠀⠀⠀⠀⢘⣿⣿⣿⣾⣷⣯⣿⣽⣿⣿⣿⣿⣿⣿⣿⢿⢿⣿⣿⣿⣿⣿⣻⢾⡽⣿⣿⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢹⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠀⣰⣿⡟⠻⢻⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⡀⣾⣿⣿⣛⡟⣿⢻⣟⡿⣻⢟⡿⣽⣻⣿⣯⠀⠀⠀⠛⣿⣿⣿⣿⢯⣿⣳⢿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠻⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⠁⠀⣼⣿⠉⠀⠠⠘⠷⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢀⡁⣹⣿⣿⣳⡝⣾⡱⢯⣞⡽⣳⢯⣛⣷⣻⣿⣿⡀⠀⠀⠀⣸⣿⣿⣿⣿⣳⣿⣟⣾⣻⢿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣼⣿⣿⣿⣿⣿⣤⡉⠿⣿⣿⡇⠀⣾⣿⣧⡀⠀⠀⠀⠀⠀⢿⡟⣿⣿⡟⠁⠀⠀⠀⠀⣿⣿⣿⣿⣯⢳⡽⣲⡝⣯⢞⡵⣯⢏⡿⣞⣳⢿⣿⣿⣦⣤⣶⣿⣿⣿⣿⣿⣷⣻⢿⣿⡽⣯⡿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣷⣾⣿⡿⣹⣿⣿⣿⣷⣀⣀⣷⣼⣿⣿⣅⠀⠀⠀⠀⢸⣿⣿⢻⡵⣞⢯⡳⣇⠿⣜⡯⣽⢞⣯⣟⣭⣟⣻⣞⢿⣿⣿⣿⣿⢿⣟⣿⣿⣿⣿⣻⣞⣿⣽⣻⣽⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣽⣿⣿⣼⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣷⣿⠟⠻⠿⢿⣿⡿⠿⢛⣯⠻⣿⣦⡀⠀⢀⣿⣿⢏⡷⣽⢮⢷⡹⣎⣿⡹⣞⣧⣟⡾⣞⡵⣯⢷⣞⡿⣞⣷⣻⢾⣟⡾⣿⣿⣿⣿⣿⣻⣞⣷⢯⣷⣿⣾⣿⠿⢿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠨⢿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠈⠡⠁⠚⣿⣿⣿⣿⣿⣟⡯⣞⢧⡟⣧⢿⣱⡗⣯⡽⡶⣯⡽⣏⡿⣽⣻⢾⣽⣻⢾⣽⣻⣞⡿⣽⣿⣿⣿⣿⣳⣿⣾⣿⠿⠋⠁⠀⠀⠀⢹⣿⣧⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠃⣿⣿⣿⣯⣿⣟⣿⣿⣵⣿⣿⣿⡿⠋⠉⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣟⣞⡷⣭⣟⡾⡽⣏⡾⣽⣳⣻⣽⣳⠿⣽⣻⢷⣯⣟⣾⣽⣻⣞⣷⣻⢿⣷⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠐⡀⠄⡀⢀⠈⡑⢶⡄⠀⠀⠀⢀⣠⣿⡟⣿⣿⢷⣻⢾⣽⣳⢯⣽⣻⣽⣻⣗⣯⢷⣯⣟⣿⣳⢯⣟⣾⡽⣞⣷⡿⣽⣾⣟⣿⣾⣿⣿⢿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣄⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣵⣮⣴⣡⣒⣠⣀⣬⣤⣴⣾⡿⠛⠛⣷⣿⣿⡿⣽⣻⡾⣽⣯⢷⣟⣾⣳⣟⡾⣟⣾⣽⡾⣽⣟⣿⢾⣟⣿⣯⣿⢿⣳⣿⣿⣿⣿⡧⠀⢻⣿⣴⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣆⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠁⠀⠀⢸⣿⣿⣿⣹⡟⣷⣿⢻⣾⡟⣿⣾⣏⣿⣿⡟⣿⣾⣿⡟⣿⣾⣿⣿⢻⣾⣿⣿⣿⣷⣿⣿⣿⠁⠀⠀⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣆⠀ ⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣻⣽⣿⣻⣿⣯⣿⣿⢿⣾⣿⣾⣿⣟⣿⣾⣿⣿⣟⣿⣾⣿⣿⣯⣿⣾⣿⣿⣿⡟⠀⠀⢰⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡄ ⠀⠀⠀⠀⠹⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠰⡀⢆⠰⡀⠤⣠⠄⠀⠀⠀⠀⣴⣿⣿⡿⣾⣿⣟⣿⣿⣻⣽⣿⢿⣿⣿⣯⣷⣿⣿⣿⣿⣽⣾⣿⣿⣟⣿⣾⣿⣿⣽⣾⣿⣿⡇⠀⠀⢸⣿⠀⠀⠀⣰⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⣀⢹⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣯⣦⣷⣼⣦⣴⣿⣶⠄⠀⢀⣿⣿⡿⣽⣳⣟⡾⣿⣽⡿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣾⣿⣟⣿⣿⣷⠀⠀⢸⣧⠀⠀⢸⡿⠀⠀⠛⠀⠀⠀⠀⣠⣶⡶⢾⣿⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣍⠋⠙⠛⠛⠛⠛⠛⠙⠋⠉⠀⠀⣼⣿⣿⣿⡽⣳⡽⣺⣽⣳⢯⣟⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⡽⣾⢿⣿⣿⡄⠀⠘⢿⣄⡀⢸⣧⠀⠀⠀⠀⠀⣀⣼⣿⣿⣧⣿⣿⣿⠿⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣿⣿⣿⡟⢤⠐⢶⣶⣤⡀⠄⡀⠀⠀⠀⣼⣿⣿⣿⡿⣼⡳⢿⣳⢧⣟⣻⣞⣷⣻⣽⣾⣿⣿⣿⠻⣿⣿⣿⣿⣿⣿⡿⢿⣽⡺⢯⣷⣻⡽⣯⢿⣿⣷⠀⠀⠈⠻⢿⣿⣿⣷⣄⣀⣀⣰⣿⣿⣻⣿⣿⣿⠿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠙⢿⣿⣿⣶⣭⣾⣿⣿⣷⣠⣴⣷⣶⣿⠿⠋⣿⣿⣟⣶⣻⣏⣷⢻⣞⣷⣻⢾⣽⣻⣿⣿⣿⡇⠁⠸⣿⣿⣿⣟⢷⣻⡟⣶⡻⣟⣾⣳⢿⣽⣻⣿⣿⡀⠀⠀⠀⠀⠈⠉⠙⠛⠿⢿⣿⣿⡿⠿⠿⠛⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠻⠛⠿⠛⠛⠛⠋⠁⠀⠀⠀⣿⣿⣟⢶⣻⣼⡳⣟⣾⣳⢯⣿⡽⣿⣿⣿⣿⠃⠀⠀⢻⣿⣿⣞⣯⢷⣹⢷⡻⣽⢾⣽⣻⢾⡽⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡟⣮⢳⣞⣽⢻⡼⣯⣟⣾⣟⣿⣿⣿⣿⠀⠀⠀⠸⣿⣿⣞⣧⠿⣽⠾⣝⣷⡻⣾⡽⣯⣟⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣹⢎⡿⣼⢞⣯⣟⣷⣻⣞⣯⣿⣿⣿⡧⠀⠀⠀⠀⣿⣿⣟⣾⢻⣭⢿⡽⣶⣻⢗⣿⣳⣟⣾⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡞⣵⢯⡽⣞⣻⣞⣾⣳⣟⣾⣟⣿⣿⣿⠁⠀⠀⠀⠀⣻⣿⣿⡞⣟⡾⡽⣞⡷⢯⣟⣾⣳⢯⣷⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡽⣎⣷⣻⡽⣧⣟⣾⣳⣯⣿⣾⣿⣿⣿⠀⠀⠀⠀⠀⠸⣿⣿⡿⣭⢿⣽⡳⣟⣟⡾⣳⢯⣟⣷⣻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡿⣜⣳⡽⣶⣻⢷⣻⣞⡷⣯⣷⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣿⣿⡿⣝⣯⢶⣻⡽⡾⣝⣯⢿⡾⣽⢯⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣺⣿⣟⡷⣽⣲⢟⡵⣯⣟⣳⢯⣟⡿⣿⣻⣿⣿⠃⠀⠀⠀⠀⠀⠀⢹⣿⣿⡽⣞⣯⢷⣻⢽⣛⡾⣏⡿⣽⣻⢿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣯⡝⠳⣭⠿⣽⢳⢯⡟⡿⣾⡽⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡽⣾⢹⢻⢾⣭⢷⢹⠾⣽⢳⡟⣯⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣷⣿⣶⣿⣿⡾⣽⣳⢯⣷⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢷⣫⢯⣛⣮⢿⣼⣿⣶⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣶⣿⠟⢫⠱⡘⢦⢫⠽⣹⢻⠿⣿⣿⣿⣿⣿⣽⢿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⢸⣿⣯⡟⣭⣟⣷⣿⣿⠿⣟⠿⣫⠝⣍⡚⢴⠒⣌⠻⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠋⡜⢀⠃⠜⠂⣇⢛⡬⢣⣟⣳⢯⡿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⣺⣿⣷⣿⣿⣿⢿⣫⢞⡹⢎⠳⡡⠞⡰⣉⠦⡙⢤⣋⠜⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡧⣙⠤⢃⠌⡀⢂⠜⢮⡜⣳⢎⡷⢯⣟⣿⣽⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⣹⣿⣿⣛⠟⡼⣣⢳⡭⢞⣡⠃⡔⢁⠒⡤⢣⡙⠶⣌⡳⣼⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣷⢩⢎⡕⣪⡔⣡⢞⡱⣎⡵⣯⣞⣿⣾⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠸⣿⣷⣯⣛⢼⣱⢳⡚⣭⠲⣍⡔⣪⠜⡴⣣⡝⣧⣏⣷⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣿⣿⣎⡾⣜⣳⡿⣔⣫⢷⣭⢿⣷⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⣿⣿⣾⣶⣧⣝⡎⣷⢚⡼⣳⣯⡳⢷⣻⣷⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡉⠛⠛⢿⣿⣿⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡾⣻⣿⣿⣿⣿⣯⣍⠛⠻⢷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⢁⣾⠟⠋⣁⣀⣤⡉⠻⣷⡀⠀⠙⢿⣷⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⣰⣿⠏⠀⠀⢸⣿⠀⠼⢋⣉⣈⡳⢀⣿⠃⠀⠀⠀⠙⣿⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⡿⠿⣷⡀⠀⠀⠀⣼⣿⠃⠀⠀⣀⣤⡿⠟⠛⠋⠉⠉⠙⢛⣻⠶⣦⣄⡀⠀⠘⣿⣷⡀⠀⠀⠀ ⢠⣾⠟⠳⣦⣄⢸⡇⠀⠈⣷⡀⠀⣼⣿⡏⢀⣤⡾⢋⣵⠿⠻⢿⠋⠉⠉⢻⠟⠛⠻⣦⣝⠻⣷⣄⠸⣿⣿⠀⠀⠀ ⠘⣧⠀⠀⠀⠙⢿⣿⠀⠀⢸⣷⠀⣿⣿⣧⣾⣏⡴⠛⢡⠖⢛⣲⣅⠀⠀⣴⣋⡉⠳⡄⠈⠳⢬⣿⣿⣿⡿⠀⠀⠀ ⠀⠘⠷⣤⣀⣀⣀⣽⡶⠛⠛⠛⢷⣿⣿⣿⣿⣏⠀⠀⡏⢰⡿⢿⣿⠀⠀⣿⠻⣿⠀⡷⠀⣠⣾⣿⡿⠛⠷⣦⠀⠀ ⠀⠀⢀⣾⠟⠉⠙⣿⣤⣄⠀⢀⣾⠉⠀⢹⣿⣿⣷⠀⠹⡘⣷⠾⠛⠋⠉⠛⠻⢿⡴⢃⣄⣻⣿⣿⣷⠀⠀⢹⡇⠀ ⠀⠀⢸⡇⠈⠉⠛⢦⣿⡏⠀⢸⣧⠀⠈⠻⣿⡿⢣⣾⣦⣽⠃⠀⠀⠀⠀⠀⠀⠀⣷⣾⣿⡇⠉⢿⡇⠀⢀⣼⠇⠀ ⠀⠀⠘⣷⡠⣄⣀⣼⠇⠀⠀⠀⠻⣷⣤⣀⣸⡇⠀⠹⣿⣿⣦⣀⠀⠀⠀⠀⢀⣴⣿⣿⡟⠀⠀⢸⣷⣾⡿⠃⠀⠀ ⠀⠀⠀⠈⠻⢦⣍⣀⣀⣀⡄⠀⣰⣿⡿⠿⢿⣇⠀⠀⠉⠛⠻⣿⣿⡷⠾⣿⣿⡿⠉⠁⠀⠀⢀⣾⠋⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠿⢿⣿⣇⠀⠀⠈⢿⣧⣄⠀⠀⠀⢹⣷⣶⣶⣾⣿⡇⠀⠀⣀⣴⡿⣧⣄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⡀⠀⠀⠙⢿⣿⣶⣤⡀⠻⢤⣀⡤⠞⢀⣴⣿⣿⠟⢷⡀⠙⠻⣦⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣦⠀⢠⡟⠁⠙⢻⣿⠷⠶⣶⠶⠾⠛⠙⣿⠇⠀⠀⢻⡄⠀⠀⠙⢷⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡀⣿⠁⣤⣤⡄⢻⡶⠶⠛⠛⠛⠛⠛⣿⢠⣾⣷⣆⢻⡀⠀⠀⠈⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⢸⣿⣿⣿⡈⢿⡀⠀⠀⠀⠀⠀⡿⢸⣿⣿⣿⢸⡇⠀⠀⠀⡟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠈⠉⠉⠉⠁⠈⠁⠀⠀⠀⠀⠈⠁⠈⠉⠉⠉⠀⠁⠀⠀⠈⠁

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣀⢀⣾⠿⠻⢶⣄⠀⠀⣠⣶⡿⠶⣄⣠⣾⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢻⣿⣿⡿⣿⠿⣿⡿⢼⣿⣿⡿⣿⣎⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠉⠛⢛⣛⡉⠀⠀⠙⠛⠻⠛⠑⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣧⣤⣴⠿⠿⣷⣤⡤⠴⠖⠳⣄⣀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣀⣟⠻⢦⣀⡀⠀⠀⠀⠀⣀⡈⠻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠉⡇⠀⠀⠛⠛⠛⠋⠉⠉⠀⠀⠀⠹⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠀⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠈⠑⠪⠷⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣦⣼⠛⢦⣤⣄⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠢⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠲⠖⠛⠻⣿⡿⠛⠉⠉⠻⠷⣦⣽⠿⠿⠒⠚⠋⠉⠁⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⠛⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀ ⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀ ⠀⠀⠀⣰⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣧⣄⠀⠀⠀⠀⠀⠀⢳⡀⠀ ⠀⠀⠀⣿⡾⢿⣀⢀⣀⣦⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣫⣿⡿⠟⠻⠶⠀⠀⠀⠀⠀⢳⠀ ⠀⠀⢀⣿⣧⡾⣿⣿⣿⣿⣿⡷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢿⣿⣧⠀⡀⠀⢀⣀⣀⢒⣤⣶⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⡾⠁⠙⣿⡈⠉⠙⣿⣿⣷⣬⡛⢿⣶⣶⣴⣶⣶⣶⣤⣤⠤⠾⣿⣿⣿⡿⠿⣿⠿⢿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣸⠃⠀⠀⢸⠃⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⠟⡉⠀⠀⠀⠈⠙⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣿⠀⠀⢀⡏⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠉⠠⠿⠟⠻⠟⠋⠉⢿⣿⣦⡀⢰⡀⠀⠀⠀⠀⠀⠀⠁ ⢀⣿⡆⢀⡾⠀⠀⠀⠀⣾⠏⢿⣿⣿⣿⣯⣙⢷⡄⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣻⢿⣷⣀⣷⣄⠀⠀⠀⠀⢸⠀ ⢸⠃⠠⣼⠃⠀⠀⣠⣾⡟⠀⠈⢿⣿⡿⠿⣿⣿⡿⠿⠿⠿⠷⣄⠈⠿⠛⠻⠶⢶⣄⣀⣀⡠⠈⢛⡿⠃⠈⢿⣿⣿⡿⠀⠀⠀⠀⠀⡀ ⠟⠀⠀⢻⣶⣶⣾⣿⡟⠁⠀⠀⢸⣿⢅⠀⠈⣿⡇⠀⠀⠀⠀⠀⣷⠂⠀⠀⠀⠀⠐⠋⠉⠉⠀⢸⠁⠀⠀⠀⢻⣿⠛⠀⠀⠀⠀⢀⠇ ⠀⠀⠀⠀⠹⣿⣿⠋⠀⠀⠀⠀⢸⣧⠀⠰⡀⢸⣷⣤⣤⡄⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⢼⡇ ⠀⠀⠀⠀⠀⠙⢻⠄⠀⠀⠀⠀⣿⠉⠀⠀⠈⠓⢯⡉⠉⠉⢱⣶⠏⠙⠛⠚⠁⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠻⠄⠀⠀⠀⢀⣿⠀⢠⡄⠀⠀⠀⣁⠁⡀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⡟⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢠⡇

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣿⣶⣶⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠘⢿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠈⠻⣿⣿⣿⣿⣆⠀⠀⠀⢀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣀⣤⣶⣶⣌⠻⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⠁⣰⣿⣿⣿⣿⣿⣦⣙⢿⣿⣿⣿⠄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣦⣹⣟⣫⣼⣿⣿⣶⣿⣿⣿⣿⣿⣿⣯⡉⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⢻⣿⣿⣿⣿⣿⡇⠀⠀⠈⠉⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣴⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⡇⠀⠸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⢿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣶⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣧⣄⣐⣀⣀⣀⣀⣀⡀ ⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠁⠛⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁

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⠀⠀⠀⠀⠀⠀⠀⢀⣤⠖⠛⠉⠉⠛⠶⣄⡤⠞⠻⠫⠙⠳⢤⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠟⠁⠀⠀⠀⠀⠀⠀⠈⠀⢰⡆⠀⠀⠐⡄⠻⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠦⠤⣤⣇⢀⢷⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⢈⡼⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣆⢰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣼⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⣎⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣝⠳⣄⡀⠀⠀⠀⠀⠀⢀⡴⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢮⣉⣒⣖⣠⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣴⠶⠶⢦⣀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⢀⣠⣤⣤⣀⠀⠀⠀ ⠀⢀⡾⠋⠀⠀⠀⠀⠉⠧⠶⠒⠛⠛⠛⠛⠓⠲⢤⣴⡟⠅⠀⠀⠈⠙⣦⠀ ⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⣠⡄⠀⠀⠀⣀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠸⣇ ⠀⣿⡀⠀⠀⠀⠀⠀⢀⡟⢁⣿⠀⢠⠎⢙⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽ ⠀⠈⢻⡇⠀⠀⠀⠀⣾⣧⣾⡃⠀⣾⣦⣾⠇⠀⠀⠀⠀⠀⠀⠀⠰⠀⣼⠇ ⠀⢰⡟⠀⡤⠴⠦⣬⣿⣿⡏⠀⢰⣿⣿⡿⢀⡄⠤⣀⡀⠀⠀⠀⠰⢿⡁⠀ ⠀⡞⠀⢸⣇⣄⣤⡏⠙⠛⢁⣴⡈⠻⠿⠃⢚⡀⠀⣨⣿⠀⠀⠀⠀⢸⡇⠀ ⢰⡇⠀⠀⠈⠉⠁⠀⠀⠀⠀⠙⠁⠀⠀⠀⠈⠓⠲⠟⠋⠀⠀⠀⠀⢀⡇⠀ ⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀ ⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡄⠀ ⠀⠀⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⠋⣷⠀ ⠀⠀⢰⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠃⠀⣿⡇ ⠀⠀⢸⡯⠈⠛⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠾⠋⠂⠀⠀⣿⠃ ⠀⠀⠈⣷⣄⡛⢠⣈⠉⠛⠶⢶⣶⠶⠶⢶⡶⠾⠛⠉⠀⠀⠀⠁⢠⣠⡏⠀ ⠀⠀⠀⠈⠳⣅⡺⠟⠀⣀⡶⠟⠁⠀⠀⠘⢷⡄⠀⠛⠻⠦⡄⢀⣒⡿⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠉⠛⠁⠀⠀⠀⠀⠒⠂⠀⠙⠶⢬⣀⣀⣤⡶⠟⠁⠀⠀

⬜⬜⬜🟥🟥🟥🟥🟥⬜⬜⬜⬜ ⬜⬜🟥🟥🟥🟥🟥🟥🟥🟥🟥⬜ ⬜⬜🟩🟩🟩🟨🟨🟩🟨⬜⬜⬜ ⬜🟩🟨🟩🟨🟨🟨🟩🟨🟨🟨⬜ ⬜🟩🟨🟩🟩🟨🟨🟨🟩🟨🟨🟨 ⬜🟩🟩🟨🟨🟨🟨🟩🟩🟩🟩⬜ ⬜⬜⬜🟨🟨🟨🟨🟨🟨🟨⬜⬜ ⬜⬜🟩🟩🟥🟩🟩🟩⬜⬜⬜⬜ ⬜🟩🟩🟩🟥🟩🟩🟥🟩🟩🟩⬜ 🟩🟩🟩🟩🟥🟥🟥🟥🟩🟩🟩🟩 🟨🟨🟩🟥🟨🟥🟥🟨🟥🟩🟨🟨 🟨🟨🟨🟥🟥🟥🟥🟥🟥🟨🟨🟨 🟨🟨🟥🟥🟥🟥🟥🟥🟥🟥🟨🟨 ⬜⬜🟥🟥🟥⬜⬜🟥🟥🟥⬜⬜ ⬜🟩🟩🟩⬜⬜⬜⬜🟩🟩🟩⬜ 🟩🟩🟩🟩⬜⬜⬜⬜🟩🟩🟩🟩

⡏⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿ ⣿⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠁⠀⣿ ⣿⣧⡀⠀⠀⠀⠀⠙⠿⠿⠿⠻⠿⠿⠟⠿⠛⠉⠀⠀⠀⠀⠀⣸⣿ ⣿⣿⣷⣄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿ ⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣴⣿⣿⣿⣿ ⣿⣿⣿⡟⠀⠀⢰⣹⡆⠀⠀⠀⠀⠀⠀⣭⣷⠀⠀⠀⠸⣿⣿⣿⣿ ⣿⣿⣿⠃⠀⠀⠈⠉⠀⠀⠤⠄⠀⠀⠀⠉⠁⠀⠀⠀⠀⢿⣿⣿⣿ ⣿⣿⣿⢾⣿⣷⠀⠀⠀⠀⡠⠤⢄⠀⠀⠀⠠⣿⣿⣷⠀⢸⣿⣿⣿ ⣿⣿⣿⡀⠉⠀⠀⠀⠀⠀⢄⠀⢀⠀⠀⠀⠀⠉⠉⠁⠀⠀⣿⣿⣿ ⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿ ⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿𝐏𝐈𝐂𝐊𝐀𝐂𝐇𝐔𝐏𝐈𝐂𝐊𝐀𝐂𝐇𝐔𝐏𝐈𝐂𝐊𝐀𝐂𝐇𝐔𝐏𝐈𝐂𝐊𝐀𝐂𝐇𝐔𝐏𝐈𝐂𝐊𝐀𝐂𝐇𝐔𝐏𝐈𝐂𝐊𝐀𝐂𝐇𝐔

⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⣿⠿⣟⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣏⡏⠀⠀⠀⢣⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣟⠧⠤⠤⠔⠋⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⡀⢀⣶⠤⠒⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠈⢿⣆⣠⣤⣤⣤⣤⣴⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⢿⢿⠀⠀⠀⢀⣀⣀⠘⣿⠋⠁⠀⠙⢇⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⢇⡞⠘⣧⠀⢖⡭⠞⢛⡄⠘⣆⠀⠀⠀⠈⢧⠀⠀⠀⠙⢿⣄⠀⠀⠀⠀ ⠀⠀⣠⣿⣛⣥⠤⠤⢿⡄⠀⠀⠈⠉⠀⠀⠹⡄⠀⠀⠀⠈⢧⠀⠀⠀⠈⠻⣦⠀⠀⠀ ⠀⣼⡟⡱⠛⠙⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠹⣧⡀⠀ ⢸⡏⢠⠃⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠸⣷⡀ ⠸⣧⠘⡇⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⣿⠇ ⠀⣿⡄⢳⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠈⠆⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀ ⠀⢹⡇⠘⣇⠀⠀⠀⠀⠀⠀⠰⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⣼⡟⠀⠀ ⠀⢸⡇⠀⢹⡆⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢳⣼⠟⠀⠀⠀ ⠀⠸⣧⣀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⢃⠀⢀⣴⡿⠁⠀⠀⠀⠀ ⠀⠀⠈⠙⢷⣄⢳⡀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⣠⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⢿⣷⣦⣄⣀⣀⣠⣤⠾⠷⣦⣤⣤⡶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⢦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡤ ⠘⣿⣿⣿⣷⣦⣄⣀⠀⢠⠔⠀⢀⡼⠿⠿⢆⠀⠀⠲⣄⠀⣀⣠⣴⣾⣿⣿⣿⠇ ⠀⠈⠉⠉⠛⠛⠻⠿⢿⣿⠀⢀⣾⣷⡀⢀⣾⣷⡀⠀⣿⡿⠿⠿⠛⠛⠉⠉⠁⠀ ⠀⠀⣤⣤⣶⣶⣶⣶⣶⣿⣆⠈⠉⠉⠉⠉⠉⠉⠉⢠⣿⣶⣶⣶⣶⣶⣤⣤⠀⠀ ⠀⠀⠘⣿⡿⠟⠛⠉⣡⣿⣿⣷⣤⠀⢠⣆⠀⣤⣶⣿⣿⣬⡉⠛⠻⠿⣿⠇⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⣿⡿⢋⣿⣿⠛⢠⣿⣿⡄⠛⢿⣿⡘⢿⣿⣦⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠻⠏⠀⣸⣿⡇⢀⠻⣿⣿⠟⣀⠸⣿⣇⠀⠙⠟⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢠⡟⠁⣿⣿⠀⠻⣆⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⢟⠉⠙⠓⠀⠘⠏⠀⠘⠟⠉⡻⠋⠀⠀⠀⠀⠀⠀⠀⠀

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖🟫🟫🟫🟫🟫🟫🟫 ➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖🟫🟫🟫🟫🟫🟫🟫🟫🟫 ➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖🟫🟫🟨🟨🟫🟫🟫🟨🟨🟫🟫 ➖➖➖➖➖➖➖➖➖➖➖➖➖➖🟫🟫🟨🟨🟨🟨🟫🟨🟨🟨🟨🟫🟫 ➖➖➖➖➖➖➖➖➖➖➖🟨🟨🟫🟫🟨🟨🟨⬜️⬜️🟨⬜️⬜️🟨🟨🟨🟫🟨🟨 ➖➖➖➖➖➖➖➖➖➖🟨🟨🟨🟫🟫🟫🟨🟨⬜️🟫🟨🟫⬜️🟨🟨🟫🟫🟨🟨🟨 ➖➖➖➖➖➖➖➖➖➖🟨🟨🟨🟫🟫🟫🟨🟨🟨🟨🟨🟨🟨🟨🟨🟫🟫🟨🟨🟨 ➖➖➖➖➖➖➖➖🟧🟫🟫🟫🟨🟨🟨🟨🟨🟨🟨🟫🟫🟫🟨🟨🟨🟨🟨🟨🟫🟫🟫🟧 ➖➖➖➖➖➖🟧🟧🟫🟫🟫🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟫🟫🟫🟧🟧 ➖➖➖➖➖🟧🟫🟫🟫🟫🟫🟨🟨🟨🟨🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟨🟨🟨🟫🟫🟫🟫🟫🟧 ➖➖➖🟧🟧🟫🟫🟫🟫🟫🟫🟨🟨🟨🟫🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟫🟨🟨🟫🟫🟫🟫🟫🟫🟧🟧 ➖➖🟧🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟧 ➖🟫🟫🟫🟫🟫🟧🟫🟫🟫🟫🟫🟫🟫🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟫🟫🟫🟫🟫🟫🟧🟫🟫🟫🟫🟫 ➖🟫🟫🟫🟫🟫🟫🟧🟧🟫🟫🟫🟫🟫🟫🟫🟨🟨🟨🟨🟨🟨🟨🟨🟨🟫🟫🟫🟫🟫🟫🟧🟧🟫🟫🟫🟫🟫🟫 ➖🟫🟫🟫🟫🟫🟫🟫🟧🟧🟧🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟧🟧🟧🟫🟫🟫🟫🟫🟫🟫 ➖🟫🟫🟫🟫🟫🟫🟫🟫🟧🟧🟧🟫🟨🟨🟨🟫🟫🟫🟫🟫🟫🟫🟫🟨🟨🟨🟫🟧🟧🟧🟫🟫🟫🟫🟫🟫🟫🟫 ➖➖🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟨🟨🟨🟨🟨🟧🟫🟫🟧🟨🟨🟨🟨🟨🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫 ➖➖➖🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟨🟫🟨🟨🟨🟧🟧🟨🟨🟨🟫🟨🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫 ➖➖➖➖🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟨🟨🟨🟨🟧🟧🟨🟨🟨🟨🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫 ➖➖➖➖➖➖➖🟫🟫🟫🟫🟫🟫🟫🟨🟫🟨🟨🟨🟧🟧🟨🟨🟨🟫🟨🟫🟫🟫🟫🟫🟫🟫 ➖➖➖➖➖➖➖🟧🟫🟫🟧🟫🟧🟨🟨🟨🟨🟨🟧🟨🟨🟧🟨🟨🟨🟨🟨🟧🟫🟧🟫🟫🟧 ➖➖➖➖➖➖🟧🟫🟫🟫🟫🟧🟫🟧🟧🟧🟧🟧🟨🟨🟨🟨🟧🟧🟧🟧🟧🟫🟧🟫🟫🟫🟫🟧 ➖➖➖➖➖🟧🟫🟫🟫🟫🟫🟫🟫🟫🟧🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟧🟫🟫🟫🟫🟫🟫🟫🟫🟧 ➖➖➖➖🟧🟫🟫🟫🟫🟫🟫🟫🟫🟫🟧🟨🟧🟨🟧🟨🟨🟧🟨🟧🟨🟧🟫🟫🟫🟫🟫🟫🟫🟫🟫🟧 ➖➖➖🟧🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟧🟨🟧🟨🟧🟨🟫🟧🟨🟧🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟧 ➖➖➖🟧🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟧🟫🟫🟧🟫🟧🟫🟫🟧🟫🟫🟧🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟧 ➖➖➖🟧🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫➖➖➖➖➖➖➖➖🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟧 ➖➖➖➖🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫➖➖➖➖➖➖➖➖➖➖🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫 ➖➖➖➖🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫➖➖➖➖➖➖➖➖➖➖➖➖🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫 ➖➖🟨🟫🟨🟨🟫🟫🟫🟨🟨🟫🟨➖➖➖➖➖➖➖➖➖➖➖➖➖➖🟨🟫🟨🟨🟫🟫🟫🟨🟨🟫🟨 ➖🟨🟧🟨🟨🟫🟨🟨🟨🟨🟫🟨🟨➖➖➖➖➖➖➖➖➖➖➖➖➖➖🟨🟨🟫🟨🟨🟨🟨🟫🟨🟨🟧🟨 🟨🟧🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟧🟨

⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠒⠛⠛⠓⢦⡀⠀⢀⣀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⣤⢦⢡⣷⣴⣛⠩⡙⠓⢦⡀⠀ ⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⢀⠤⠑⠈⠉⣀⣤⣤⣭⢷⣀⠀⡇⠀ ⠀⠀⠀⠀⣀⡟⠀⠀⡠⠊⠁⣀⠤⠂⠁⣬⣟⣉⠀⠀⢀⡼⠃⠀ ⠀⠀⠀⡞⠉⠃⠀⣼⣇⠈⠁⠀⢿⠀⠀⠉⠉⠉⠙⣦⠾⠁⠀⠀ ⠀⠀⠀⢧⡔⠈⡉⠻⣿⡷⠀⣤⣄⣀⡀⠀⠀⠀⢀⡾⠀⠀⠀⠀ ⠀⠀⠀⠸⡄⠀⠈⠀⠈⠁⠀⠙⢿⣿⣿⣷⣶⣶⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⠲⣶⣶⣦⣀⠀⠀⢈⠉⡹⡻⣩⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⡤⠶⡋⠁⢀⡠⠜⢹⠒⠲⡓⢫⠻⣅⣀⡴⠶⠶⣤⡀⠀ ⠀⡴⠋⠀⠀⠀⢑⡏⠀⠀⡰⢠⠂⠈⠄⠀⠏⢻⠁⠀⠀⢸⢻⡆ ⢸⡃⠊⠰⠀⠀⠀⣏⠐⠈⠀⠈⠢⠤⠂⠀⠈⡟⠀⠀⢀⢢⡟⠀ ⠀⠳⣄⡀⠀⣲⠞⠉⠹⢦⡀⠀⠀⠀⠀⢀⣼⣇⡀⢀⢨⡟⠀⠀ ⠀⠀⠀⢹⠏⠇⠀⠀⠀⢸⠧⠤⠤⠶⠚⠋⠀⠈⠉⠙⠛⠁⠀⠀ ⠀⠀⠀⢼⢰⠀⠀⠀⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠛⠦⣤⡤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟨🟨⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟨🟨🟨🟨🟨🟨⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟨🟨🟨🟨🟨🟨🟨🟨⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩🟨🟨🟨🟨🟨🟨🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩🟩🟩🟩🟨🟨🟦🟦🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜🟨🟨⬜⬜⬜⬜🟩🟩🟩🟩🟩🟦🟦🟦🟦⬜⬜⬜⬜⬜🟨🟨⬜⬜⬜ ⬜🟨🟨🟨🟨🟨🟨⬜🟩🟩🟩🟩🟩🟦🟦🟦🟦🟦⬜⬜⬜🟨🟨🟨🟨🟨🟨⬜ 🟨🟨🟨🟨🟨🟨🟨🟨🟩🟩🟩🟩🟩🟦🟦🟦🟦🟦⬜⬜🟨🟨🟨🟨🟨🟨🟨🟨 🟩🟨🟨🟨🟨🟨🟨🟥🟩🟩🟩🟩🟦🟦🟦🟦🟦🟦⬜⬜🟩🟨🟨🟨🟨🟨🟨🟦 🟩🟩🟩🟨🟨🟥🟥🟥🟥🟩🟩🟩🟦🟦🟦🟦🟦🟦⬜🟩🟩🟩🟩🟨🟨🟦🟦🟦 🟩🟩🟩🟩🟥🟥🟥🟥🟥🟩🟩🟦🟦🟨🟨🟦🟦🟦🟩🟩🟩🟩🟩🟩🟦🟦🟦🟦 🟩🟩🟩🟩🟩🟥🟥🟥🟥🟥🟩🟨🟨🟨🟨🟨🟨🟩🟩🟩🟩🟩🟩🟩🟦🟦🟦🟦 🟩🟩🟩🟩🟩🟥🟥🟥🟥🟥🟨🟨🟨🟨🟨🟨🟨🟨🟩🟩🟩🟩🟩🟩🟦🟦🟦🟦 🟩🟩🟩🟩🟩🟩🟥🟥🟥🟥🟩🟨🟨🟨🟨🟨🟨🟦🟩🟩🟩🟩🟩🟩🟦🟦🟦🟦 🟩🟩🟩🟩🟩🟩🟥🟥🟥🟥🟩🟩🟩🟨🟨🟦🟦🟦🟦🟩🟩🟩🟩🟩🟦🟦🟦🟦 🟩🟩🟩🟩🟩🟩🟩🟥🟥🟥🟩🟩🟩🟩🟦🟦🟦🟦🟦🟦🟩🟩🟩🟩🟦🟦🟦🟦 🟩🟩🟩🟩🟩🟩🟩🟥🟥🟥🟩🟩🟩🟩🟦🟦🟦🟦🟦🟦🟦🟩🟩🟩🟦🟦🟦🟦 🟩🟩🟩🟩🟦🟩🟩🟩🟥🟥🟩🟩🟩🟩🟦🟦🟦🟦🟦🟦🟦🟦🟩🟩🟦🟦🟦🟦 🟩🟩🟩🟩🟦🟩🟩🟩🟥🟥🟩🟩🟩🟩🟦🟦🟦🟦🟦🟦🟦🟦🟩🟩🟦🟦🟦🟦 🟩🟩🟩🟩🟦🟦🟩🟩🟩🟥🟩🟩🟩🟩🟦🟦🟦🟦🟥🟦🟦🟦🟦🟩🟦🟦🟦🟦 🟩🟩🟩🟩🟦🟦🟩🟩🟩🟥🟩🟩🟩🟩🟦🟦🟦🟦🟥🟥🟦🟦🟦🟦🟦🟦🟦🟦 🟩🟩🟩🟩🟦🟦🟦🟩🟩🟩🟩🟩🟩🟩🟦🟦🟦🟦🟥🟥🟥🟦🟦🟦🟦🟦🟦🟦 🟩🟩🟩🟩🟦🟦🟦🟩🟩🟩🟩🟩🟩🟩🟦🟦🟦🟦⬜🟥🟥🟥🟦🟦🟦🟦🟦🟦 🟩🟩🟩🟩🟦🟦🟦⬜🟩🟩🟩🟩🟩🟩🟦🟦🟦🟦⬜⬜⬜🟥🟥🟦🟦🟦🟦⬜ ⬜🟩🟩🟩🟦🟦⬜⬜🟩🟩🟩🟩🟩🟩🟦🟦🟦🟦⬜⬜⬜⬜⬜🟥🟦⬜⬜⬜ ⬜⬜⬜🟩🟦⬜⬜⬜⬜🟩🟩🟩🟩🟩🟦🟦🟦🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩🟩🟩🟩🟩🟦🟦🟦🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩🟩🟩🟩🟦🟦🟦🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩🟩🟩🟩🟦🟦🟦🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩🟩🟩🟦🟦🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡤⠖⠋⠉⠉⠉⠉⠙⠲⣦⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀ ⠀⠀⡼⢁⡠⢼⠁⠀⢱⢄⣀⠀⠀⠀⠀⠀⠎⢿⡄⠀⠀ ⠀⣸⠁⠀⣧⣼⠀⠀⣧⣼⠉⠀⠀⠀⠀⠀⠐⢬⣷⠀⠀ ⡼⣿⢀⠀⣿⡟⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀ ⣇⢹⠀⠁⠈⠀⠉⠃⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⡰⢸⡇ ⠙⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣏⣈⣉⣤⠿⠁ ⠀⣠⣾⣿⠤⡀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣅⠀⠀ ⢰⣧⣿⣿⣿⣦⣉⡐⠒⠒⢲⣿⣿⣿⣿⣿⣿⣶⣿⣧⠀ ⠘⠿⢿⣿⣿⣿⡿⠿⠛⠿⠿⠿⣿⣿⣿⣿⣿⣿⡿⠟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀ Kirby wants you to STOP nsfw!

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⡾⠿⠿⠿⢿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡿⠛⠉⠀⠀⠀⡀⠀⠀⡈⠙⢿⣆⠀⠀⠀⠀⣠⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⡐⠁⡀⠀⣤⠀⠑⡌⣿⡆⢀⣤⣾⣿⣋⠙⠻⣿⣶⣦⣤⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠁⠀⣿⢾⠟⣷⠀⢸⣸⣿⣿⣯⣥⣀⣉⡙⣦⠀⠀⠈⠛⣿⣆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⢆⠀⢛⡠⠤⠚⠚⠉⠉⠉⠁⠀⠉⣉⣉⣛⣿⡄⠀⠀⠀⠘⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡟⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠋⠁⠀⠀⠀⠀⢀⣠⣴⣶⣿⣿⣿⣿⣿⠿⠷⠤⠤⠀⢠⣿⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠀⠀⠀⠀⠀⠀⣠⠞⠉⠀⠀⠀⠀⠀⣠⠴⠚⠉⢉⠹⣿⡿⠿⠛⠉⠀⠀⠀⠀⠀⢀⣾⡟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣤⣿⠁⠀⠀⠀⠀⣠⠞⠁⠀⠀⢀⣠⠤⢒⠉⠀⠀⠀⠀⣿⣧⣸⣇⣀⣀⡀⠀⠀⠤⠤⣴⣿⠟⠁⠀⠀ ⠀⠀⠀⠀⠀⢠⣾⠟⠉⡝⠀⠀⠀⢀⣼⣷⠖⠒⠒⠋⠉⠀⠀⣿⣷⠀⠀⠀⠀⡹⠛⠉⠉⠉⠙⠻⢷⣄⣀⣠⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⠃⠀⠀⠀⠀⠀⢀⣾⣿⣿⣆⠀⠀⠀⠀⠀⠀⠹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠟⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣿⠀⢀⣤⠖⠒⠒⠚⢿⣿⣿⣿⣶⣤⠀⠀⢀⡀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⣷⡟⠁⠀⠠⢄⡀⠈⠻⣿⣿⣿⠟⠀⠀⣾⣿⣷⣦⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠻⡄⠀⠈⠙⠋⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣤⣤⣶⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⣧⡀⠀⠀⠀⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⣤⣄⣀⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⡟⠻⠟⠛⢿⡿⣿⠟⢩⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣙⣿⣿⣿⣿⣿⣿⣦⣄⡀⠀⠀⠀⠀⣇⠀⣀⡴⢋⡴⢋⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣶⡿⠛⠉⠁⠀⠀⠀⠀⢈⣿⠻⣶⢦⣤⣤⣨⣭⡥⢶⡻⣷⣿⠏⠀⠀⠀⢀⣀⣤⣤⣤⣤⣀⠀⠀⠀⠀ ⠀⠀⠀⢠⣶⡿⠿⠿⠷⢤⣀⠀⠀⠀⣀⣤⠖⠋⠁⠀⢹⠀⠀⠀⠳⡄⢀⣀⣱⡌⠻⣿⣶⣤⣴⣿⠟⠋⠉⠙⠛⢿⣷⣄⠀⠀ ⠀⢀⣤⣿⠟⠀⠀⠀⠀⠀⠈⠑⢦⣾⠟⠁⠀⠀⠀⠀⢸⠀⠀⣠⠤⠬⢍⡁⠀⠀⠀⣟⠙⢿⣿⠃⠀⠀⠀⠀⠀⠀⢻⢿⣿⡄ ⢀⣾⠏⠀⢀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠀⠀⠀⠀⠀⣠⠏⠀⣸⠃⠀⠀⠀⢱⠀⠀⠀⢻⡀⢸⣿⠀⠀⠀⠀⠀⠀⠀⡞⢀⣿⡿ ⣼⡏⠀⢰⡏⠀⣠⡆⠀⠀⠀⠀⠘⡏⠲⠦⠤⠴⠚⠁⠀⠀⠸⡄⠀⠀⠀⡸⠀⠀⠀⠀⠱⣾⡿⠀⠀⠀⠀⠀⠀⡸⠁⣼⣿⠃ ⢿⡇⠀⠈⠀⠀⠟⠀⠀⠀⡀⠀⠀⣿⣄⣀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠒⠋⠀⠀⠀⠀⠀⢰⣿⠃⠀⠀⠀⠀⠀⢰⢁⣾⡿⠃⠀ ⠘⣿⣄⠀⠀⠀⠀⠀⠀⣰⣥⣤⡾⠟⠛⠻⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡟⠀⠀⠀⠀⠀⠠⢃⣿⡿⠃⠀⠀ ⠀⠈⠻⢿⣦⣄⣀⣀⣀⣠⡾⠋⠀⠀⠀⢰⠏⠙⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⢿⣿⣦⣀⣀⣀⣴⢁⣼⣿⠃⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⢻⣿⠏⡟⠀⠀⠀⠀⠀⡜⠀⠀⣿⣇⣀⠀⠀⢀⣀⣀⣤⣴⣾⡿⠋⠁⠀⠈⠛⠛⠛⠻⠿⣿⡿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⡏⢀⠇⠀⠀⠀⠀⠀⠃⠀⢸⣿⡟⠛⠿⠿⠟⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⣿⠀⢸⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡀⣾⠀⠀⠀⠀⠀⠀⠀⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⣷⣿⣦⠀⠀⠀⠀⢀⣴⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⢷⣶⡾⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣶⣿⣶⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⡿⠿⠛⠋⠉⠀⠉⠙⠛⠿⢿⣷⣶⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣀⣤⣶⣶⣿⣿⣶⣦⣤⣀⠀⠀⠀⢠⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢀⣀⣤⣶⣾⡿⠿⢿⣷⣶⣤⣄⡀⠀⠀⠀ ⣴⣶⣿⠿⠟⠛⠉⠁⠀⠀⠈⠙⠛⠿⢿⣷⣶⣿⡟⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣠⣴⣾⡿⠿⠛⠉⠀⠀⠀⠀⠀⠉⠛⠻⠿⣿⣶⡆ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣾⣿⣿⡀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣾⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣾⣿⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣾⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⢠⣿⣿⣿⣿⠿⠛⠻⢿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠠⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠉⠛⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣾⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣄⠀⠀⠀⠀⠀⠀⠈⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠈⢿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠿⣿⣶⣤⣄⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣷⣶⣤⣄⣀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇ ⠀⠀⠉⠙⠻⢿⣷⣶⣤⣿⣿⣿⣿⠿⠟⠋⠙⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⠉⠛⠻⠿⣿⣶⣮⣿⣿⣿⣿⣿⠿⠟⠋⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠛⠟⠋⠉⠀⠀⠀⠀⠀⠘⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⣤⣄⡀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⢿⣷⣶⣤⣀⣸⣿⣿⣿⣿⣿⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⢿⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⣠⢤⠀⠀⠀⠀⣠⢤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣅⣨⣇⠀⠀⠀⣇⣀⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⡷⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀ ⢠⠒⠀⠒⢤⠘⢯⡽⠁⠀⠀⠀⢷⣭⠇⢀⠤⠀⠠⢄ ⠈⠒⠀⠘⠊⠀⠀⠀⠈⠒⠒⠊⠀⠀⠀⠈⠂⠭⠭⠞

⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🟩🟩⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩🟩⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜🟩⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬛⬜⬛⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬛⬛🟩🟩🟩⬛⬜⬜⬜⬜⬛🟧🟧⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬛🟩⬜⬜🟩🟩🟩🟩⬜⬜🟩⬛🟧🟧⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬛⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛🟧⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛🟧⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬛🟩🟩🟩🟩🟩⬛⬜🟩🟩🟩🟩🟩⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬛🟩🟩🟩🟩🟩⬛⬜🟩🟩🟩🟩⬛🟧⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬛🟩🟩🟩🟩🟩⬛⬛⬜🟩🟩🟩⬛🟧⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬛🟩🟩🟩⬛⬜⬜⬜⬜⬜🟩⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬛⬛⬛⬜⬜⬜⬛⬜⬜🟩🟩⬛🟧⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛⬛⬜⬛⬜🟩🟩⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟩🟩🟩⬛⬛⬜⬛⬛⬛⬛⬜⬛⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜🟩⬛⬜⬛⬜🟧🟧🟥⬛⬜⬛⬛⬛ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬛⬜⬛🟧🟥🟥🟥⬛⬜⬛🟩⬛ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬛⬜⬛⬛⬛⬛⬜⬛⬜⬛⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬛⬜⬛⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛🟧⬛⬛⬛⬛⬛⬛⬜⬜⬛⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟧🟧⬛🟧🟧⬛🟩🟩🟩⬜⬛⬜⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟧🟧🟧🟧⬛⬛⬛⬛⬛⬛⬛⬜⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛🟧🟧⬛⬛🟥🟥🟥🟥🟥⬛⬜⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜🟥🟥🟥🟥🟥⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥🟥⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⠶⠚⠲⢦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠁⠀⠀⢀⣠⣴⣾⣿⡇⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀ ⣠⣤⠶⠞⠛⠳⢦⣤⣰⠏⠀⠀⠀⢀⣾⣿⣿⣿⣿⡇⢀⣠⡴⠖⠛⠙⠓⠶⣤⣄ ⣿⠀⠀⠀⢀⣠⣴⣾⣿⡄⠀⠀⢠⣿⣿⣿⣿⣿⣿⣷⠟⠁⠀⠀⢀⣠⣴⣶⣿⣿ ⣿⠀⠀⠀⠀⢻⣿⣿⣿⣿⡀⢰⠿⠛⠋⠙⠻⢿⠟⠁⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿ ⣿⠀⠀⠀⠀⠀⢻⣿⣿⣿⣷⠀⠀⠀⠀⣀⣤⣶⣾⣷⡄⠀⠀⠀⢸⣿⣿⣿⣿⣿ ⣿⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣆⠀⠀⢸⣿⣿⣿⣿⣿ ⣿⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣷⡀⢸⣿⣿⣿⣿⣿ ⣿⠀⠀⠀⢸⣆⠀⠀⠀⢻⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⣿⣿⣿⣿⣿ ⣿⠀⠀⠀⢸⣿⣆⠀⠀⠀⠛⠀⠀⠀⢸⣿⣿⣿⣿⡇⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠀⠀⠀⢸⣿⣿⣆⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿ ⣿⣄⡀⠀⢸⣿⣿⣿⣆⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣦⣀⡀⠻⣿⣿⣿⣿⣿⡿ ⠀⠈⠙⠻⠾⠟⠛⠉⠙⣧⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠈⠙⠛⠿⠿⠛⠋⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⣀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⢾⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⠶⠿⠛⠛⠛⠛⠛⠛⠛⠿⠷⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⡾⠟⠛⠛⠛⠿⣦⣄⠀⣠⣴⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⡟⠀⠀⠀⠀⠀⠀⠈⢙⡷⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡎⠉⢱⡀⠀⠀⠀⠀⡜⠁⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀ ⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢸⡇⠀⠀⠀⢰⡇⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀ ⠀⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣶⣿⡇⠀⠀⠀⢸⣿⣶⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀ ⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠸⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣆⠀⠀⠀⠀ ⠀⠀⠀⠹⣷⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⠁⠀⠀⠀⠀⢿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⡀⠀⠀ ⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠁⣠⠶⠶⠶⣦⠈⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⠀ ⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣠⠖⠒⡄⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇⠀ ⠀⠀⠀⠀⠘⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀ ⠀⠀⠀⠀⠀⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀ ⠀⠀⠀⠀⠀⠀⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡿⠁⠀ ⠀⠀⠀⠀⠀⠀⣸⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⣿⣿⡛⠛⠉⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⠋⠁⠙⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠏⠈⠙⠻⣶⣄⠀⠀⠀ ⠀⢀⣴⣿⠋⠀⠀⠀⠀⠀⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⢻⣷⡀⠀ ⠀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡀ ⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⢦⣤⣤⣀⣀⠀⢀⣀⣠⣤⣤⠶⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀ ⠀⠻⣷⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣬⣿⠟⠛⠻⣿⣯⣥⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡇⠀ ⠀⠀⠀⠉⠛⠛⠿⠿⠶⠶⠶⠶⠶⠿⠿⠿⠟⠛⠛⠋⠉⠀⠀⠀⠀⠀⠉⠉⠛⠛⠻⠿⠿⠿⠶⠶⠶⠶⠶⠾⠿⠋⠀⠀⠀⠀⠀

⠀⠀⠀⢀⡴⠛⠉⠙⠲⣤⣤⠴⠖⠚⠋⠉⠉⠛⠒⠦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⠁⠀⠀⣠⠞⠉⢀⡷⡀⠀⠀⠀⠀⠀⡀⠀⠀⠙⢷⣤⡤⠤⠤⣤⡀⠀ ⠀⠀⠀⣧⠀⢠⠞⠁⠀⠀⡎⣇⢿⠀⠀⣶⢊⡏⠁⠀⠀⠰⠟⠁⠀⠀⠀⠀⠹⡄ ⠀⠀⠀⢸⣤⠏⡠⢤⡀⠀⡃⢀⠇⠀⢸⠈⠉⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⢠⡏⠀⠘⠤⠽⠀⢣⣊⣀⠀⠸⣀⠜⣀⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇ ⠀⠀⠀⢸⠀⠀⠀⠀⠀⡔⠉⠀⠀⠉⠢⡀⠀⠧⠠⠜⠀⠀⠀⠀⠀⠀⠀⣠⠟⠀ ⠀⠀⠀⢸⡀⠀⠀⠀⠸⠀⠀⢀⠔⠊⠉⠙⡄⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠁⠀⠀ ⠀⠀⠀⠘⣇⠀⠀⠀⢀⠀⡰⠃⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀ ⠀⠀⣠⠞⢻⡀⠀⠀⠸⣰⠁⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⢠⣏⠀⠀⠀⠀ ⠀⣼⠃⠀⠀⢳⡄⠀⠀⢳⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⣠⠏⠈⠳⣄⠀⠀ ⢰⡇⠀⠀⠀⠀⠙⢦⣀⠀⠱⢄⡀⠀⠀⣠⠋⠀⠀⠀⢀⣠⠞⠁⠀⠀⠀⠘⡆⠀ ⠈⣧⡀⠀⠀⠀⠀⠀⢉⣳⢦⣤⣈⣉⣉⣀⣠⣤⣶⠚⠋⠀⠀⠀⠀⠀⠀⠀⢻⠀ ⠀⠈⠙⠓⠲⠖⠚⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢦⣄⡀⠀⠀⠀⠀⣀⡾⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠋⠉⠀⠀

⠀⠀⢰⣿⡿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⣽⡇⠀ ⠀⠀⣽⡟⡟⠁⢀⣤⣤⣤⣤⣤⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣄⠀⠀⠈⢽⠇⠀ ⠀⠀⢿⣿⣇⡤⠥⠤⢤⣤⡤⠬⢄⡀⠀⠀⣀⡾⠭⠭⠥⠤⠭⠽⢤⣸⣼⡆⠀ ⠀⠀⣸⣯⡏⠀⠀⠀⠙⠿⠟⠑⠀⡙⠉⠉⢋⠀⠐⢲⣿⠗⠂⠀⠀⢹⡿⢧⠀ ⠀⠀⡟⢽⢡⡀⠀⠀⠀⠀⠒⠀⡸⠁⠀⠀⠘⢅⡀⠀⠀⠀⠀⠀⡠⠋⡇⢩⡇ ⠀⠀⡇⢸⠀⠈⠉⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠀⢀⠁⢸⡇ ⠀⠀⣧⠈⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⠀⣜⠃ ⠀⠀⠈⢦⡇⠀⠀⠀⠀⠀⠀⠰⣄⣀⠀⠀⢀⠤⠂⠀⠀⠀⠀⠀⠀⣃⡠⠊⠀ ⠀⠀⠀⠀⢹⡀⠀⠀⠀⣀⡠⠤⠾⠤⠯⠺⠵⠴⢤⣤⣀⠀⠀⠀⢠⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⢇⠀⠀⠠⡍⠀⠀⠤⠤⠤⠤⠤⠤⠤⠈⠹⠃⠀⠀⡈⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⢆⠀⢠⡇⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⢠⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⡇⢢⣔⣝⣆⠀⠘⠶⢶⢦⠶⠋⠁⣀⡏⠀⡠⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⠀⠀⠹⣾⣿⡗⣄⣀⠀⠀⠀⠒⢳⣛⣧⠔⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠔⢹⠀⠀⠀⠘⢷⣿⣾⣢⠖⢄⣄⣠⣶⠿⠋⠀⡷⡀⠀⠀⠀⠀⠀ ⣀⣴⣾⣏⠀⠈⠢⢄⡀⠀⠀⠈⠛⢿⠿⠾⠟⠊⠁⠀⠀⠀⠱⠑⢤⣄⡀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠤⠤⠤⠤⠄⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠲⡈⠉⠁⠢⡀ ⠀⠄⠂⠈⠁⠐⠂⠴⠉⠀⠀⠀⠀⠀⡖⠒⡄⠀⠀⢎⠑⡄⠀⠈⠢⡀⠀⢸ ⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⣤⣿⠀⠀⢸⣶⣿⠀⠀⠀⠘⡄⡜ ⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡟⣿⠆⠀⠀⢻⣻⠇⢀⠤⣀⠘⡅ ⠀⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⠀⠉⢊⣠⣴⣶⣦⣥⡀⠘⠦⠈⠀⢡ ⠀⠀⠀⠑⢢⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣴⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⢸ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠈ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⡿⠋⠉⠀⠀⠀⠉⠻⣿⣿⡇⠀⠀⡆ ⠀⠀⠀⠀⢰⣧⡀⠀⠀⠀⠀⠀⠀⠰⡇⠀⠀⠀⠀⠀⠀⠀⢘⣿⠇⠀⡜⠀ ⠀⠀⠀⠀⣼⣿⣷⡄⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⢀⣼⡟⢀⠎⠀⠀ ⠀⠀⠀⠀⢹⣿⣿⣿⣦⣄⠀⠀⠀⠀⠘⢿⣦⣴⣤⣴⣿⡿⢋⣠⡏⠀⠀⠀ ⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣶⣤⠤⠄⠀⠉⠉⢍⣩⣴⣶⣿⣿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⡿⠗⠀⠠⠄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⡜⠁⠀⠀⠀⠀⠀⠈⠑⢶⣶⡄ ⢀⣶⣦⣸⠀⢼⣟⡇⠀⠀⢀⣀⠀⠘⡿⠃ ⠀⢿⣿⣿⣄⠒⠀⠠⢶⡂⢫⣿⢇⢀⠃⠀ ⠀⠈⠻⣿⣿⣿⣶⣤⣀⣀⣀⣂⡠⠊⠀⠀ ⠀⠀⠀⠃⠀⠀⠉⠙⠛⠿⣿⣿⣧⠀⠀⠀ ⠀⠀⠘⡀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡇⠀⠀ ⠀⠀⠀⣷⣄⡀⠀⠀⠀⢀⣴⡟⠿⠃⠀⠀ ⠀⠀⠀⢻⣿⣿⠉⠉⢹⣿⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠁⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀

⠀⢀⠀⢀⣀⣠⣤⣤⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣠⣤⣤⣤⣤⣀⠲⢦⣄⡀⠀⠀ ⡶⢟⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠰⣷⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣬⡛⢷⣔ ⣾⡿⠟⠋⠉⠁⠀⡀⠀⠀⠀⠀⠈⠉⠉⠙⠛⢻⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠈⠙⢛⣛⣛⣛⣛⣉⢉⣉⡀⠀⠀⠀⠀⠀⠈⠉⠛⢿⣷⣝ ⠃⠀⠀⠀⠀⠀⠀⣛⣛⣛⣛⣛⣛⢛⡛⠛⠛⠛⣰⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣌⠛⠛⢛⣛⣛⣛⣛⣛⣛⣛⣓⣀⠀⠀⠀⠀⠀⠈⢻ ⠀⠀⠀⢀⣤⡾⠛⢻⣿⣿⣿⡿⣿⡟⢻⣿⠳⠆⠘⣿⣦⠀⠀⠀⠀⠀⠀⠀⣰⣿⠁⠐⠛⣿⡟⢻⣿⣿⣿⣿⢿⣟⠛⠻⣦⣀⠀⠀⠀⠀ ⠀⠀⢴⠿⣧⣄⣀⣘⣿⣿⣿⣿⣿⡿⣀⡙⢷⠀⢀⡿⠁⠀⠀⠀⠀⠀⠀⠀⠈⢻⡖⠀⣾⣋⣀⣺⣿⣿⣿⣿⣿⣏⣀⣤⣴⠿⢷⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠙⠉⠉⠉⠉⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠆⠀⠀⢀⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⠟⠁⠀⠀⠀⣾⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣤⣤⣴⣶⣾⠿⠛⠋⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠛⠛⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣶⣀⣀⣶⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡠⣔⠮⠍⠛⠒⠒⠒⠚⠠⠽⣉⠙⠻⢿⣿⣿⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⡂⠕⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠢⢀⡹⠛⠋⠑⡄⠀⠀⠀ ⠀⣀⣀⣠⣼⠏⠀⠀⠀⠀⠀⠀⠀⠜⠑⣄⠀⠀⠀⠀⠀⠠⠊⠀⠀⠀⠀⣷⠀⠀⠀ ⣿⣿⣿⣿⡏⠀⠀⠀⢸⠉⢆⠀⠀⢸⣀⣸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡏⠀⠀⠀ ⣿⣿⣿⣿⠃⠀⠀⠀⠸⣄⣸⡆⠀⠈⢿⣿⣿⠀⣠⣴⣶⣶⡄⠀⢀⣤⣾⣇⣀⣀⡀ ⣿⣿⣿⣿⣦⣄⠀⠀⠀⢻⣿⣿⠀⠀⠈⠻⡿⠀⠘⠛⠛⠋⠁⠸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⢿⣿⣿⣷⢀⣀⠀⠻⠿⢀⣴⣶⣶⡆⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣦⣤⠛⣿⣿⣿⡿⠃⠀⠀⠹⣿⣿⣿⠇⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣦⡈⣿⣿⠇⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃ ⠉⠻⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀ ⠀⠀⠀⠀⠛⢿⣿⣿⣿⣷⢦⣄⣀⡀⠤⣤⣤⣀⣀⣬⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀ ⠀⠀⠀⢠⣴⣿⣿⣿⣿⣿⣦⣭⣷⣶⣿⣿⡿⠿⠟⠋⠁⠉⠛⠛⠿⠋⠁

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣶⣶⣾⣿⣿⣷⣶⣶⣶⣶⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⡻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠃⠻⢿⣿⣄⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠿⢛⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⢁⣀⣀⣀⣀⡀⠀⠙⢿⣦⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣥⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⣿⣿⣿⣿⣿⣿⣶⣄⠀⠙⢿⣿⣿⣿⣿⣿⣿⠹⣿⣿⠿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣩⣥⣶⢶⣶⣦⡙⢦⡀⠙⢿⣿⣿⣿⣿⡇⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠈⣉⠁⠶⠀⠀⠉⠻⢦⡑⠄⠈⠻⣿⣿⡟⢡⣿⡇⣼⠏⣽⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⢡⡙⠀⠀⢀⠀⢀⣴⣦⠙⠀⠀⠀⠉⠙⢠⣿⡟⢰⣯⣼⣿⣿⣿⣿⣿⣿⢿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢶⡎⢹⣿⣧⣙⠲⠤⠤⣀⣛⣛⣉⣒⣓⡀⠀⣠⣾⣿⡟⠰⠿⠿⠿⠟⠛⠛⠉⠉⠀⣸⢀⠀⠀⠀ ⠀⠀⠀⠀⢰⡿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣤⣾⣿⣦⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢀⣿⣾⣧⠀⠀ ⠀⠀⠀⠀⣾⠏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⢀⣄⣸⠈⣿⣿⣿⣦⠀ ⠀⠀⠀⠀⣹⢰⣿⡿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠟⢿⣿⣿⣿⣿⣿⡄⠀⢠⣄⣠⣾⣿⣿⣏⡀⢹⣿⣿⣿⡄ ⠀⠀⠀⠀⢹⢸⢹⡇⡇⣿⡟⣿⢸⡟⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢋⣴⣿⣿⢻⣿⣿⣿⣿⣿⡌⣆⡙⣿⣿⣿⡾⢿⡾⢨⣿⣿⣿⡁ ⠀⠀⠀⠀⠀⠙⠾⡇⡇⣽⡇⠟⠘⠃⠁⣤⣰⢉⡿⣿⣿⣿⣿⣿⣿⣟⣿⣶⢌⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⢾⠿⠋⠁⠻⣿⣿⣿⣿⣿⡷⠋⣐⣿⣿⢇⡷⠟⣠⣿⣿⣿⣿⡗ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⢸⡁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡱⢙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣶⣤⣄⣄⢈⠻⠿⠛⣁⣄⣾⣿⡿⠣⡩⢃⡼⣿⡿⡏⡅⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⡀⠙⣿⢰⢹⠈⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠙⡰⠆⢻⣿⣿⣿⢃⠍⢰⣿⣧⣧⣷⢗⣡⡿⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⢂⠡⠐⠠⠐⡀⠈⢻⣸⠆⣼⢹⣿⣿⣿⣿⣿⣿⣴⣿⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠐⢶⣾⠄⣿⣿⣟⡋⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠄⢂⠐⡈⠄⠂⡁⢂⠡⢀⠡⠀⠘⢱⣏⢸⢸⠛⢿⣿⣿⣿⣿⡇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣛⣩⣥⣶⣮⣄⣒⣊⡥⢶⣭⠁⠀⠄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣴⡞⠃⠈⡄⠂⠐⠈⠐⠀⠂⠐⠀⠂⠁⠂⡄⠈⢻⣾⢸⢸⢹⢹⣿⣿⣴⣿⣿⣿⣿⣿⣿⣿⡟⠋⢡⠀⠙⠓⠛⠛⠋⠉⠉⠛⠉⠉⠛⠁⠀⠈⠐⠀⢡⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡼⠋⠋⢀⠐⠠⠈⠄⡁⢂⠡⠈⠄⠡⢈⠐⠠⠐⠠⢀⠈⠺⢼⢸⢸⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣶⠲⣶⣾⣿⣿⣶⣶⡿⠟⠀⠠⠁⢂⠁⢂⠈⠄⠀⠀⠀⠀ ⠀⢀⠂⡀⠐⡀⠂⠌⠠⢁⠂⡐⢀⠂⠡⢈⠐⠠⠈⠄⡁⠂⠄⠂⠄⡀⠈⠐⠺⢦⠙⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣥⣶⣶⣾⣿⣶⠀⠀⠄⡁⢂⠈⠄⠂⠌⡐⢀⠀⠀ ⠀⠀⠂⠄⠡⢀⠡⢈⠐⡀⢂⠐⠠⢈⠐⠠⠈⠄⡁⠂⠄⠡⢈⠐⠠⢀⠁⠂⠀⠀⠀⠈⠻⡏⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠈⠄⡐⠠⢈⠐⡈⠄⡐⠠⠀⠀ ⠀⠀⠁⠌⡐⢀⠂⠄⢂⠐⠠⢈⠐⠠⠈⠄⡁⠂⠄⠡⢈⠐⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠺⠸⡌⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⠻⠿⠛⠉⠀⠠⢁⠂⠄⡁⢂⠐⡀⠂⠄⠡⠈⠀ ⠀⠀⠀⠀⠀⠀⠈⠐⠠⠈⠐⠠⠈⠀⠁⠂⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠂⠂⠈⠐⠀⠂⠐⠀⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⣀⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣶⣦⣀⠀⠀⠀ ⠀⢀⣾⣿⡿⠛⠉⠉⠉⠉⠉⠉⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀ ⢀⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀ ⢸⣿⡿⠀⠀⣠⣶⣿⣷⣦⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢸⣿⡇⠀⠀⣿⣿⣿⣿⣿⡇⠀⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢸⣿⡇⠀⠀⠙⠿⣿⡿⠟⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⡇ ⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⡟⠁⠀⠀⠀⠙⣿⣿⣿⡇ ⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⣿⣿⣿⡇ ⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⣿⣦⣀⣀⣠⣾⣿⣿⣿⡇ ⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢸⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠈⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁ ⠀⠈⢿⣿⣷⣤⣀⣀⣀⣀⣀⣀⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀ ⠀⠀⠀⠉⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⠿⠟⠉⠀⠀⠀

⢀⣤⠶⠚⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠓⠶⣄⠀ ⣾⠁⠀⣿⣦⢸⡇⣛⡀⣀⢀⡀⢴⡦⢀⡤⣀⢀⣀⢀⡀⢀⡀⣶⠀⡠⢄⠀⠘⣧ ⢿⡀⠀⣿⠈⢿⡇⢿⠇⣿⠀⣿⢸⡇⠻⣏⡭⠸⡇⠸⡇⠻⣄⣿⠸⢇⡸⠇⢠⡟ ⠈⠻⠶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠶⠋⠀

⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠐⠶⣿⣿⡿⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⣿⣇⡀⠀⠀⠀⠀ ⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢿⣿⣿⡿⠟⠋⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⣿⣿⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⡤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣿⣿⣿⣿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣶⣿⣿⣆⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡿⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠅⠀⠈⢆⠀⠀⢀⠀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢀⢀⠔⠉⠀⠂⢙⠈⠅⠀⡀⠂⠀⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡭⠬⠤⠥⢅⣁⡁⠉⠁⠒⢄⢀⠀⡋⠁⠀⢀⠄⠁⠀⡐⠀⠘⡐⢀⠃⠀⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡄⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠂⠅⠀⠀⠘⠄⠤⠎⠀⢀⠂⠓⢸⣀⠴⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡀⠀⠀⠀⠀⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⡀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠑⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡂⠀⠀⠀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠔⠁⠀⢠⠆⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡁⠀⠀⠀⠀⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡠⠊⠀⠀⠀⡠⠁⠀⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⠀⠧⣀⣀⣀⡐⠁⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡂⠈⢇⠀⠀⠀⠀⠘⡄⠀⠀⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡂⠀⠀⠑⠒⠒⠁⠉⠁⠀⠀⠨⡀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠌⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠂⠂⠄⠄⠤⠄⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠅⡀⠀⠀⠄⠁⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⡀⡀⠀⠀⠀⢀⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠠⡁⠀⠀⡨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢂⠈⢑⠰⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠃⠀⠀⠀⠁⠄⡅⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⠄⠂⠡⠀⠀⠀⠑⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢨⠀⠀⠀⠀⠀⠅⠀⠀⠈⠀⠁⠁⠈⠀⠁⠁⠈⠀⠁⠁⠀⠀⠀⠀⠀⠀⠈⠢⣀⣀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠑⠄⠄⠤⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

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⡴⣖⢲⡤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣋⡉⠁⠙⠓⠒⠶⠦⣤⣤⣄⠀⠀⠀⠀⢀⡤⠴⠒⠚⠋⠛⠛⠛⠒⠒⠒⠦⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠳⢿⣟⣻⣿⣂⣶⣦⣤⣤⣀⡈⠃⣷⠀⣀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡿⡟⣿⣿⣿⣮⠉⢩⡟⠳⠿⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠓⠒⡎⢛⣿⣿⡃⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣷⠠⣿⣿⣶⣿⡄⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣾⢿⣿⣿⡿⠁⠀⠀⠀⠀⠈⢀⣿⣦⡀⠀⣤⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡹⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠐⢁⡀⣾⣿⠛⠀⠐⣿⡿⠃⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠸⠟⠹⣧⠀⠀⢀⣻⠇⠸⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠳⢤⠴⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠘⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠠⠀⣿⡀⠀⠀⠀⠀⠀⢠⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⡿⣗⣀⠀⠀⠀⢀⡞⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⣟⣇⠈⠛⠳⠶⠖⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣾⣦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣾⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣷⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡶⣄⣀⡀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⡿⠽⠟⠋⠀⠀⠀⠉⠉⠉⠋⠉⠉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⠿⠿⠿⠿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⠞⠛⠲⣦⣤⠤⠤⢴⠏⣦⣈⣷⣚⠉⠻⡄⠀⠀ ⠀⠀⠀⣿⣀⠀⠈⠁⠀⠀⠀⢾⡀⢻⡿⠉⠉⣷⡞⠻⣦⠀ ⠀⠀⢀⡿⠁⠀⠀⠀⠀⠀⠀⠈⠛⠛⠷⣤⣴⠿⠿⣠⡟⠀ ⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢦⡶⢻⡄⠀ ⠠⠤⡧⠤⠄⢠⣤⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⠀⠋⢹⡏⠁ ⠀⢀⣿⡤⠄⠘⠿⠁⠀⠠⣞⣻⠄⠀⠀⠻⠏⢀⡈⣽⠛⠃ ⠀⠀⢈⡷⣶⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠿⠛⠂⠀ ⠀⠀⠀⠀⠀⠉⠙⠛⠛⠓⠒⠒⠒⠚⠛⠛⠉⠁⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢀⠄⠄⠂⠊⠌⠈⠈⠁⠁⠂⠢⠠⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡠⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⡀⠀⠀⠀ ⠀⢀⠴⠣⠀⠀⠀⠀⠀⠈⠀⢄⣀⠄⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠢⡀ ⢠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱ ⠇⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⣀⠀⠀⠀⠀⠀⣀⣀⣀⣀⡀⠀⠀⠀⠀⡠⠃ ⠑⢄⡀⠀⠀⢀⠔⠃⠀⠀⠀⠀⠉⢦⠀⢰⠋⠀⠀⠀⠀⠀⠉⣷⠉⠉⠀⠀ ⠀⠀⠀⠉⢨⡃⠀⠀⠀⠀⠀⠀⠀⢀⣧⢇⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠓⣄⠀⠀⠀⠀⣀⠤⠊⠁⠈⠢⣀⠀⠀⠀⡠⠞⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠈⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀

⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜🟥🟥🟥🟥🟥⬜⬜⬜⬜⬜ ⬜⬜⬜🟥🟥🟥🟥🟥🟥🟥🟥🟥⬜⬜ ⬜⬜⬜🟫🟫🟫🟨🟨🟫🟨⬜⬜⬜⬜ ⬜⬜🟫🟨🟫🟨🟨🟨🟫🟨🟨🟨⬜⬜ ⬜⬜🟫🟨🟫🟫🟨🟨🟨🟫🟨🟨🟨⬜ ⬜⬜🟫🟫🟨🟨🟨🟨🟫🟫🟫🟫⬜⬜ ⬜⬜⬜⬜🟨🟨🟨🟨🟨🟨🟨⬜⬜⬜ ⬜⬜⬜🟫🟫🟥🟫🟫🟫⬜⬜⬜⬜⬜ ⬜⬜🟫🟫🟫🟥🟫🟫🟥🟫🟫🟫⬜⬜ ⬜🟫🟫🟫🟫🟥🟥🟥🟥🟫🟫🟫🟫⬜ ⬜🟨🟨🟫🟥🟨🟥🟥🟨🟥🟫🟨🟨⬜ ⬜🟨🟨🟨🟥🟥🟥🟥🟥🟥🟨🟨🟨⬜ ⬜🟨🟨🟥🟥🟥🟥🟥🟥🟥🟥🟨🟨⬜ ⬜⬜⬜🟥🟥🟥⬜⬜🟥🟥🟥⬜⬜⬜ ⬜⬜🟫🟫🟫⬜⬜⬜⬜🟫🟫🟫⬜⬜ ⬜🟫🟫🟫🟫⬜⬜⬜⬜🟫🟫🟫🟫⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜

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⣿⣿⣿⣿⣿⣿⡿⣋⠴⣶⣶⣶⣮⡝⡿⣿⣿⣿⡿⠿⣿⣛⡛⣛⣻⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡏⠲⣌⢟⡷⣿⣿⣿⣽⠲⣈⡭⢣⡹⣑⠲⠤⠓⠴⠢⠜⡱⢌⠎⡭⠻⢿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⢘⠡⡜⢪⡝⣯⣟⡿⢚⠭⡓⡬⢓⣤⣷⣾⣿⣿⣿⣿⣿⣿⣶⣮⣴⡉⢖⡉⢭⣲⡵⣯⣻⠴⡙⢿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡘⡐⢌⠱⡘⠕⣘⠴⣋⢖⢉⣴⣿⣿⣿⠟⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣷⣌⢢⠑⢿⣳⢏⡻⢘⡄⢻⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣇⢣⠘⡄⢛⡸⣃⠧⡘⢄⣿⣿⣿⣿⠃⣼⣿⡄⢿⣿⣿⣿⣿⡟⢛⠻⣿⣿⣧⠛⠄⡟⣜⠣⠜⡠⢸⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣆⠃⢌⡎⡵⢃⢎⢡⣿⣿⣿⣿⡟⠀⠻⠿⠁⣸⣿⣿⣿⡿⠠⣿⣷⠸⣿⣿⣧⠃⡜⢠⠋⡔⡁⣼⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡆⣎⠼⣡⠋⣠⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠛⠋⠀⣿⣿⣿⡆⠜⡀⢣⠐⣰⣿⣿⣿⣿⣿⣿ ⣿⣿⢿⣻⣭⣽⣭⣼⣈⠳⣠⣾⣿⣛⣿⣛⡿⣿⡅⠀⠀⠀⣸⣿⣿⣿⣿⡇⠀⠀⠀⢰⣿⣿⣿⣷⠉⡔⠀⣲⣿⣿⣿⣿⣿⣿⣿ ⡿⣳⣿⣿⣿⣿⣿⣿⣿⣷⣭⢿⣝⣯⣿⣿⣗⣿⣷⣄⣡⣴⣿⣿⣿⣿⣿⣧⠀⢀⠀⣸⣿⣿⣿⣿⣆⠜⣸⣿⣿⣿⣿⣿⣿⣿⣿ ⢳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣝⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣾⣿⢷⣾⣷⣯⠻⡆⠂⣿⣿⠿⢿⣿⣿⣿⣿ ⢺⣯⠿⣽⣻⡽⣿⣿⣿⣿⣿⣿⣿⣎⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣭⢟⣬⣷⣾⣿⣿⣿⣿⣿⣾⣝⢿⣿ ⢸⡧⣟⢧⡻⣽⢳⣟⣿⣿⣿⣿⣿⣿⡎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣫⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⣿ ⡸⣳⡝⣮⢳⡭⣟⡞⡾⣽⣻⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣫⣾⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⡿⣿⣿⡿⢼ ⣇⢷⡹⢎⡷⣹⢮⡽⣹⣳⢯⣿⣿⣿⣿⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣱⣿⣿⣿⣿⣿⣿⢿⢯⣷⢻⡭⣷⣛⢷⣻⡇⣿ ⣿⡎⣽⢹⡜⣧⢳⡝⣧⠛⣮⡟⣿⣿⣿⠀⢳⣯⣽⣯⡟⣿⢻⣿⢻⣿⢻⡟⢱⣿⣿⣿⣿⣿⠛⣾⢫⡗⡞⣧⠛⣶⢹⣮⣷⢸⣿ ⣿⣷⡉⣷⡹⢬⣳⣙⢮⢻⣜⣻⢽⢯⠏⠀⡄⠠⢁⢈⠙⠃⠻⠞⠯⠞⠽⠚⢸⣿⣿⡿⣟⡞⣯⢳⣏⢾⡱⣏⠿⣜⢧⡻⣢⣿⣿ ⣿⣿⣿⣮⡹⢧⡖⣭⢚⡵⣊⢧⡏⢋⣦⣥⣘⣡⡒⠌⢢⢅⢢⡐⡄⢢⡐⠤⢸⡿⣹⢏⡷⣹⢧⡻⣜⢧⡻⣜⡻⣜⠏⣵⣿⣿⣿ ⣿⣿⣿⣿⣿⣷⣮⣥⣝⣒⣭⣬⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣆⢿⣡⢛⡜⢧⣫⠵⣫⢞⡵⣫⢗⣡⣾⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣕⠫⢜⠳⣬⠳⠽⢊⣣⣷⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡠⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⢉⡗⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠈⡱⠖⠀⠀⠀⠀⠀⠀⠀⠀⣄⣠⠆⠀ ⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠰⠓⠒⢴⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⢨⠀⣰⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⢹⡀⠀⠀⠀⠈⠀ ⠀⠀⠀⠀⢠⣀⣶⠀⠀⠀⠀⠀⠀⠀⠀⢤⢀⣀⣀⣀⡠⠋⠀⠀⢇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⣄⠊⠁⠀⠀⠀⠀⠀⢀⡨⢦⠀⠀⠀⠀⠀⠀⠀⠘⠒⠤⣀⡀⠀ ⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⡀⠔⠊⠁⢀⡀⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠼⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⠔⠈⡀⠄⠂⠉⢀⡀⢰⠁⠀⠀⠀⠀⠀⠀⡴⠊⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⢊⠠⠒⣁⠤⠐⣀⡁⠤⢤⠃⢀⣀⡠⢄⡀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⡪⢐⡡⢐⠩⠐⠊⠁⠀⠀⠀⠚⠉⠉⠀⠀⠀⠙⠢⣀⡇⠀⠀⠀⠀ ⠀⠀⢠⡪⡪⡲⠕⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠈⠃⠀⠀⠀⠀ ⠀⣰⣿⠞⠉⠀⠀⠀⠀⠀⡄⡰⡆⠀⠀⠀⠀⠀⠀⢐⣌⡶⠀⠀⠀⠀⠀⠀⠀⠀ ⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⣸⠤⡐⠁⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣀⢀⣀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠄⠂⠉⠁⠀⠀⠀⠀⠀⠈⠨⠑⠢⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⠠⠘⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠄⠀⠀⠀⠈⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠬⢅⢠⡂⠁⠀⢰⠉⣳⡄⠀⠀⢠⡴⠒⣿⡍⠀⠀⠀⠀⠀⠀⠀⣠⠖⠒⠀⠐⠒⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠔⠂⠉⣑⣠⡀⠀⠀⠀⠀⠀⠀⣠⠊⠀⠀⠀⢠⡊⠀⠀⢠⣿⣤⡿⠀⠀⠀⢀⡄⢀⣿⡇⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠙⢤⠀⠀⠀⠀⠀⠀ ⠀⠀⡰⠃⠀⠀⠀⠀⠄⠘⠤⠀⠀⠀⢀⢞⠀⠀⠀⠠⠈⡒⠀⠀⠀⣼⣿⣿⠇⠀⠀⠀⢸⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⣆⠀⠀⠀⠀⠀ ⠀⡜⠅⠌⠀⠀⠀⠀⠀⠒⠘⠓⠤⠤⢎⣄⠐⠒⢠⠀⢀⠇⠀⣀⡀⢻⣿⡿⢀⠀⠀⠀⢸⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠑⢄⠀⠀⠀ ⢈⡇⢠⠀⠀⠀⠀⠀⠀⠀⢀⠂⡟⣀⣀⠀⠑⠌⠁⠀⠈⡆⠀⢳⢎⡌⠋⡐⠉⠓⠋⠙⡈⠻⠿⢁⢦⡹⣍⡻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠙⢄⠀ ⠈⡇⠀⠀⠀⠀⠀⠀⢀⣤⣫⠎⠁⠀⠠⠄⠀⠀⠀⠀⠀⢧⠀⠀⠉⠁⠀⠀⠐⡄⢦⠀⠃⠀⠀⠫⠶⠕⠚⠁⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠉⣄⠀⠀⠘⡄ ⠀⢋⠀⠀⠀⠀⠀⠘⠩⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣀⠀⠀⠀⠀⠀⠀⠀⠈⠓⡀⠀⠀⠀⠀⢸ ⠀⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠇⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠈⢃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠒⢈⡼⠦⠖⠐⠒⠉⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠜⠡⠏⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘ ⠀⠀⠀⠀⠉⠒⠴⠂⢄⡤⡀⣀⠀⡂⠡⢀⢔⠓⠀⠀⠀⠀⠀⠀⠀⠈⣷⣠⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣰⣿⣧⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠒⠉⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣻⢷⣯⣶⣦⣤⣤⣤⣤⣶⢶⣷⣻⢯⣿⣿⣿⡇⣸⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣽⣻⣞⣷⣻⢿⣯⢷⣻⣞⡿⣾⣽⣻⢾⣿⣿⠏⠘⡄⠀⠀⠀⠀⠐⣠⠋⠀⠀⠏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣯⢷⣻⡾⣽⣻⣿⣯⢷⣯⣟⡷⣯⣟⣯⣿⢿⠇⠀⠀⠀⠀⠀⠄⠚⠀⠀⢀⠜⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣯⣷⣻⢯⣿⣿⠿⣟⡾⣽⣻⢷⣻⠾⠍⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠊⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣾⣽⣿⣿⠟⠀⠙⢿⡷⣯⢿⣽⣯⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠋⠁⠀⠀⠀⠀⠙⠛⠿⠟⠛⡉⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠁⠀⢠⠀⠀⡰⠀⡴⢀⠕⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠤⠤⠎⠠⠰⠁⠜⠁⠃⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⠦⡄⠀⠀⠀⠀⠀⠀⡴⠀⠀⠀ ⠀⢀⣀⠀⠀⠀⣀⠤⠖⠒⠋⡉⠙⢲⣺⢅⡀⠀⠹⡀⠀⠀⠀⢀⡜⠁⠀⠀⠀ ⣼⠉⠀⠉⠓⠏⠁⠀⠀⠀⠀⢯⣧⠈⢿⡆⠈⠓⢴⠇⠀⠀⣠⠊⠀⠀⠀⡀⠀ ⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⡀⠄⠠⢀⠈⢣⡀⠀⠁⠀⢀⡤⠊⠀⠀ ⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⠎⠀⠀⠀⠘⡇⠀⢧⠀⠐⠊⠁⠀⠀⠀⠀ ⠀⢸⠳⣄⠀⠀⠀⠀⠀⠀⠀⠈⢺⠀⠀⠀⠀⠀⡇⠀⢸⠀⠀⠀⠀⢀⣀⣀⡀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣆⠠⠄⢀⡀⢇⠀⢸⡀⠀⡀⠀⠀⠀⠀⠀ ⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⠀⠀⠈⠙⠆⡼⠛⢦⡀⠑⠢⣄⠀⠀ ⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠢⣀⠀⢀⡴⡰⠁⠀⢀⡇⠀⠀⠈⠑⠀ ⠀⠀⠀⢸⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠗⠒⠚⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡜⠀⠉⠢⢄⣀⠀⠀⠀⠀⠀⣀⡤⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠀⠀⠀⠀⣨⠟⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⠂⠴⠒⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣤⡶⠁⣠⣴⣾⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⣿⣿⣴⣿⠿⠋⣁⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣾⣿⡿⠟⠋⠉⠀⣀⣀⣀⣨⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣤⣤⣴⠂ ⠈⠉⠁⠀⠀⣀⣴⣾⣿⣿⡿⠟⠛⠉⠉⠉⠉⠉⠛⠻⠿⠿⠿⠿⠿⠿⠟⠋⠁⠀ ⠀⠀⠀⢀⣴⣿⣿⣿⡿⠁⠀⢀⣀⣤⣤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣿⣿⣿⡿⠁⢀⣴⣿⠋⠉⠉⠉⠉⠛⣿⣿⣶⣤⣤⣤⣤⣶⠖⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⡇⢀⣿⣿⣇⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀ ⠀⠀⠸⣿⣿⣿⣿⡇⠈⢿⣿⣿⠇⠀⠀⠀⠀⠀⢠⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⣿⣿⣿⣷⡀⠀⠉⠉⠀⠀⠀⠀⠀⢀⣾⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢿⣿⣿⣷⣄⡀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣋⣠⡤⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠿⠿⠿⠿⠿⠿⠟⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⠟⠛⠛⠛⠷⢶⣄⡀⠀⠀⠀⠀⢀⣀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠚⠁⠀⠀⢀⣀⣀⣀⣀⣤⣤⣭⣷⣤⡖⠛⠉⠁⠀⠀⠈⢉⣳⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠏⠀⠀⣠⠴⠚⠉⠁⠀⠀⠀⠀⠀⣀⣈⣉⣙⣳⣦⣄⡀⠒⠛⠛⠋⠙⠛⠛⢳⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣠⠤⢤⣀⣀⠀⠀⠀⢀⡾⠃⠀⠀⠀⠁⠀⠀⢀⣠⡤⠖⢚⣉⡭⠭⠥⠤⠤⠼⠮⣭⣙⣶⣤⠴⢖⣚⣉⣉⣩⣭⣍⣉⣙⡲⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠴⠋⠉⠀⠀⠀⠀⠉⠙⠲⣤⣼⠁⠀⠀⠀⠀⠀⢠⣴⣋⣥⠴⠚⠉⠁⠀⠀⠀⠀⠀⠀⢀⠀⠙⢿⣷⠚⠉⠉⠀⠀⠀⠀⠀⠀⢉⡛⠻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⡏⠀⠀⠀⠀⠀⠀⢸⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⡇⠀⠈⢿⠀⠀⠀⠀⠀⠀⠀⠀⠠⣏⣹⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠘⣏⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀⣼⣇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣇⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠦⣌⠳⢦⣀⡀⠀⠀⠀⠀⠀⠙⠃⣠⣴⣿⣏⠛⠦⣤⣀⣀⣀⣀⣀⣘⣯⣶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣆⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⣀⠀⠈⠙⠲⢬⣍⣙⡓⠒⠒⠒⢒⣿⡿⠋⠀⠙⢷⣍⠛⠚⠳⠽⣿⣿⣯⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⢦⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠉⠛⠳⠦⠤⣤⣄⣉⣩⣽⠿⠟⠛⠉⠀⠀⠀⠀⠀⠙⣿⡶⠶⠚⠛⠛⠻⣞⠛⠛⠛⠛⠓⠲⠤⣄⣀⠀⠀⠀ ⠀⠀⠈⠙⢦⡀⠀⠀⢸⠁⠀⠀⠀⠀⠀⣾⡏⣠⣶⢦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠀⠀⠀⠀⠀⠙⣦⡀⠀⠀⠀⠀⠀⠀⠈⠓⣄⠀ ⠀⠀⠀⠀⠀⠉⠓⠦⣼⠀⠀⠀⠀⠀⠘⠉⢱⡿⠁⢀⡀⠉⠙⠓⠲⠦⢤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠾⣋⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠘⣧⡆⠹⣿⣿⣶⣤⣄⣀⡀⠀⠈⠉⠙⠛⠒⠶⠶⠦⠤⠤⠤⠤⠤⠴⠶⠶⠚⠛⢉⣁⣤⠶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠈⠟⠿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠴⠶⠶⠿⣿⡛⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢦⡀⠈⠙⠿⣿⣟⣛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠈⠻⣦⠈⢻⣄⣀⣀⣠⠤⠤⠖⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣟⢳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣄⡀⠀⠉⠛⠷⢦⣤⣉⣛⢿⣿⣿⣿⣿⣿⠟⠉⠀⣀⣀⣤⡶⠟⠁⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡧⢈⠸⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⢦⣄⣀⠀⠀⠉⠉⠛⠛⠛⠛⠛⠓⣚⣛⣋⣉⣉⣀⣀⣤⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢸⡆⢠⡈⠻⢿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠓⠶⠦⣤⣤⠴⠖⢛⣉⣩⣴⡾⠶⠶⣶⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣼⣥⡬⠹⠂⠠⠉⠙⠛⠓⣶⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠞⢋⡙⠤⠶⠨⠺⠳⠢⣏⠙⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⣼⠀⠠⠄⠄⡀⠐⠂⢄⡀⣼⡟⠀⠉⠉⠉⠙⠛⠛⠛⢛⣿⠟⣉⠀⠂⠀⠀⠀⠀⠀⡄⡄⠀⠈⠁⠈⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠂⢀⡀⠀⠈⠈⢀⢜⣰⡿⠁⠀⠀⠀⠀⠀⠀⠀⣰⢿⠁⠲⠃⠀⠀⠀⠁⠀⠀⡃⡂⠀⠀⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣶⣮⠁⠀⠄⢘⣀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⣰⠟⢢⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠀⠀⢂⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⠶⠶⠾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡋⠱⠄⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⢰⠀⣤⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⣼⠩⠀⠀⠀⠀⠀⢀⠀⠀⠐⣀⣶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣤⣄⣀⣀⣀⣠⣤⣴⠶⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠈⠉⠉⠉⠁⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠤⠤⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠖⢉⡀⠀⠀⠀⠀⠀⠉⠢⡀⠀⠀⠀⢀⡤⡇⠣⣴⠆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⢀⡏⢸⡇⠀⡎⡟⡆⠀⠀⠸⡒⠉⠉⢧⣸⣀⣘⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠁⠘⡗⠋⡇⠀⣯⣁⡇⠀⠀⠀⡃⠀⠀⡜⠉⠀⠀⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⡰⠛⡆⠀⠉⢉⡡⠤⢖⣇⠖⠉⠉⣆⣇⡤⠊⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⠃⠀⠱⢄⡀⠈⠣⠤⠋⡎⢀⣀⠔⡻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⡆⠀⠘⠦⠴⢒⡇⠈⠉⠉⢩⠋⢯⣉⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀hiii!⠀⠀⠀ ⢤⡗⠑⡲⠆⠀⠀⢸⡀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⠗⠉⠻⠆⠀⠀⠀⠉⠒⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀search⠀Rainbowcat64 for more<3

⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀ ⠸⣿⣿⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣿⣿⡏ ⠀⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⠁ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⣀⠀⢀⣴⡟⠀⠀⠀⠀⢠⣟⠛⠛⠛⠛⠛⠛⣣⡀⠀⠀⠀⠀⠹⣷⡀⠀⢀⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀ ⠀⠀⠉⠛⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⣰⣿⣿⣦⠀⠀⠀⠀⣰⣿⣿⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠛⠛⠛⠉⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠻⠿⣿⣿⡀⠀⠀⣴⣿⣿⣿⣿⣷⡀⠀⣼⣿⣿⣿⣿⣦⠀⠀⠀⣿⣿⡿⠿⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣤⣤⣤⣤⣶⣿⣿⡇⠀⠼⠿⠿⠿⠿⠿⠿⠷⠾⠿⠿⠿⠿⠿⠿⠷⠀⢰⣿⣿⣷⣦⣤⣤⣤⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠉⢁⣹⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⢠⣆⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⡀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣿⣿⠿⠟⠛⠉⠁⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⢀⣾⣿⣆⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠉⠛⠻⠿⣿⣿⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⡿⠋⣸⣿⣿⣿⣿⡿⠃⢀⣾⣿⣿⣿⡄⠀⠿⣿⣿⣿⣿⣯⠈⢿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿⠋⠀⢠⣿⣿⣿⡏⠀⠀⢀⣼⣿⣿⣿⣿⣷⡀⠀⠀⠘⣿⣿⣿⡆⠀⠙⢿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⠟⠁⠀⠀⣾⣿⣿⣿⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⡿⠂⠀⠀⢿⣿⣿⣿⡀⠀⠀⠙⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⣸⣿⣿⣿⡇⠀⢠⣤⡀⠉⢻⣿⣿⣿⠋⠀⣠⣄⠀⠘⣿⣿⣿⣧⠀⠀⠀⠈⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠀⢠⣿⣿⠃⠀⢸⣿⣿⣿⠀⠈⢿⣿⣇⠀⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠃⠀⠀⢸⣿⣿⣿⠂⠀⠈⢻⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⡿⠿⠿⠿⣿⣿⡆⠀⠀⠈⢿⣿⠃⠀⠀⠰⣿⣿⠿⠿⠿⢿⣿⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢧⡀⠀⠀⠘⠉⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠈⠛⠀⠀⠀⣠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠚⠉⠉⠉⠉⠁⠀⠀⠀⠈⠉⠙⠒⠢⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀ ⠀⠀⠀⠀⡸⠁⠀⠀⠀⠀⠀⠀⠀⡖⢲⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀ ⠀⠀⠀⢸⠁⠀⡴⢲⠀⠀⠀⠀⢸⠀⣿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀ ⠀⠀⢰⠃⠀⠀⣇⣼⡇⠀⠀⠀⢸⡿⠏⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀ ⠀⠀⡼⠀⠀⠀⣿⣟⣿⠀⠀⠀⠀⠇⠀⠀⡅⣞⣩⣭⣭⣇⠖⠂⠀⠀⠀⠀⠀⠀⠀⢸⠀⡇ ⠀⠀⡇⠀⠀⠀⣏⠀⢨⠀⠀⠀⠀⠘⠦⠶⠋⠙⠛⠋⡙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸ ⢠⠀⢷⣞⡇⠀⢇⣠⠏⢠⠖⢲⠀⠀⠀⠀⠀⠀⢀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸ ⢘⠀⢹⠉⠁⠀⠀⠀⠀⠀⣇⠀⣸⠀⠀⠀⠀⡀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣏⡏ ⠀⠇⠈⢇⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⢀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⠏⠀ ⠀⠸⡀⠈⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀ ⠀⠀⠑⠂⠈⢣⣀⠀⠀⠀⠀⠀⢀⡒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡟⢦⡀⠀⠀⣀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡅⠀⠈⠉⡳⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠚⠉⡞⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠖⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠊⠁⠀⠀⢀⡰⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠇⡰⠋⠁⠀⠀⠀⠀⠀⠀⡀⠄⠁⠀⠀⠀⠀⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠞⠁⠀⠀⠀⠀⠀⠀⡠⠈⠀⠀⠀⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡰⠊⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⣀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠋⠁⠀⠀⠀⠀⠀⠀⠔⠁⠀⠀⢀⣠⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠔⢁⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⡁⠀⠀⠀⠀⠀⠀⢀⢉⣿⠀⠍⠁⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⠉⠀⠀⡀⠀⠀⠀⢨⢿⡂⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣄⠐⣿⠀⠀⠀⠀⠁⠀⠙⣆⠀⠀⡞⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠃⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⡇⠸⡄⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⡇⠀⡇⠀⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⡇⠀⢧⠀⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⡇⠀⢸⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠃⠀⢸⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⡇⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⡇⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⡈⡆⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠳⣽⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠈⢷⣆⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢱⠀⠀⠀⠘⣧⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⣷⠀⠀⠀⢸⠀⠑⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡂⢠⠃⠀⠀⠀⠘⠒⠚⠁⠀⠙⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡇⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡹⠃⠀⠀⠀⠀⠀⢀⣀⡤⠤⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡓⡇⠀⠀⠀⠀⣀⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢌⡎⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡮⠞⠀⠀⠀⢀⡬⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⣀⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⣀⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡤⠖⠋⠉⠉⠉⠉⠙⠲⣦⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀ ⠀⠀⡼⢁⡠⢼⠁⠀⢱⢄⣀⠀⠀⠀⠀⠀⠎⢿⡄⠀⠀ ⠀⣸⠁⠀⣧⣼⠀⠀⣧⣼⠉⠀⠀⠀⠀⠀⠐⢬⣷⠀⠀ ⡼⣿⢀⠀⣿⡟⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀ ⣇⢹⠀⠁⠈⠀⠉⠃⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⡰⢸⡇ ⠙⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣏⣈⣉⣤⠿⠁ ⠀⣠⣾⣿⠤⡀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣅⠀⠀ ⢰⣧⣿⣿⣿⣦⣉⡐⠒⠒⢲⣿⣿⣿⣿⣿⣿⣶⣿⣧⠀ ⠘⠿⢿⣿⣿⣿⡿⠿⠛⠿⠿⠿⣿⣿⣿⣿⣿⣿⡿⠟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣦⣶⣶⣶⣶⣶⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣶⡿⠿⠟⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠿⠿⢿⣶⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⠿⠛⠛⠛⠻⠿⣷⣤⣀⠀⢀⣤⣶⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⢿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⣿⠏⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣷⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡀⠀⠀⠀⠀⠀⠀⠀⣠⢤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⢸⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⢻⡀⠀⠀⠀⠀⠀⣰⠋⠀⠙⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣇⠀⠀⢸⣧⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣤⣠⣿⣿⠀⠀⠀⠀⠀⣿⣶⣀⣴⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⣷⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠹⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠟⠁⠀⣤⣶⣶⣶⣄⠀⠙⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠛⠛⠻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣄⣄⡴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡆⠀ ⠀⠀⠀⠀⠀⠀⠈⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⣰⣿⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣶⣦⣤⣶⣶⣿⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⡿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⣿⣿⣍⡁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣾⡿⡛⠉⠀⠈⠻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠏⠀⠀⠙⠻⢿⣶⣄⠀⠀⠀⠀ ⠀⠀⠀⣠⣾⣿⣯⣴⣶⡄⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⢰⣶⣤⡙⢿⣧⡀⠀⠀ ⠀⠀⣸⣿⠋⣼⣿⣿⣿⠃⠀⠀⠀⠀⠀⠈⠻⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡾⠋⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⡎⢻⣿⡄⠀ ⠀⢰⣿⠇⠀⠘⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⠾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠁⠀⢹⣷⡀ ⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠳⠶⠶⣶⣤⣤⣀⣀⣠⣤⣴⣶⠶⠶⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠇ ⠀⠈⠻⣿⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣶⣿⡿⠛⠉⠻⢿⣿⣶⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣶⡿⠏⠀ ⠀⠀⠀⠈⠉⠛⠿⠿⢷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⡿⠿⠿⠿⠛⠉⠉⠀⠀⠀⠀⠀⠉⠙⠛⠿⠿⠿⢿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⠿⠿⠿⠛⠉⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠤⠄⠒⠂⠤⠤⢀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠊⠁⠀⠉⠲⡄ ⠀⢠⠒⠉⠀⠈⠉⠒⠞⠁⠀⠀⠀⠀⢠⡖⠢⡀⠀⠀⡏⠱⡀⠀⠈⠀⠀⠀⢱ ⢀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⣴⣷⠀⠀⢹⣾⣷⠀⠀⠀⠐⡀⡌ ⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⢿⠀⠀⠘⢟⢻⠀⠀⠀⠀⠘⡀ ⠀⠘⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢉⣤⣶⣶⣦⣅⡀⠀⠀⠀⠀⠇ ⠀⠀⠀⠉⠒⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⡀ ⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠟⠉⠉⠈⠉⠙⢿⣿⣿⡇⠀⠀⠇ ⠀⠀⠀⠀⠀⣼⣧⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⣿⣿⠁⠀⡞⠀ ⠀⠀⠀⠀⠀⣿⣿⣷⡀⠀⠀⠀⠀⠀⠸⣷⣄⠀⠀⠀⢀⣠⣼⣿⠏⢠⠞⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⠿⣋⣴⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣷⣶⣤⢀⣀⣀⣉⣉⣉⣭⣴⣾⣿⣿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠈⠛⠻⠿⠛⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀ ⢾⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⣀⣴⣶⣿⣿⣿⣿⡇ ⠈⢿⣿⣿⣿⡛⠛⠈⠳⣄⠂⠀⠀⠀⠀⠀⣠⠞⠉⠛⢻⣿⣿⣿⡟⠀ ⠀⠸⣿⣿⣿⠥⠀⠀⠀⠈⢢⠀⠀⠀⠀⡜⠁⠀⠀⠀⢸⣿⣿⣿⠁⠀ ⠀⠀⣿⣿⣯⠭⠤⠀⠀⠀⠀⠃⣰⡄⠌⠀⠀⠀⠀⠨⢭⣿⣿⣿⠀⠀ ⠀⠀⠹⢿⣿⣈⣀⣀⠀⠀⠠⢴⣿⣿⡦⠀⠀⠀⣀⣈⣱⣿⠿⠃⠀⠀ ⠀⠀⠀⢠⣾⣿⡟⠁⠀⠀⠀⠀⣿⣏⠀⠀⠀⠀⠘⣻⣿⣶⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⢂⠀⠀⠀⠀⠘⢸⡇⠆⠀⠀⠀⢀⠰⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠈⣿⣷⣿⣆⡀⠀⠀⠁⠈⠀⠠⠀⠀⢀⣶⣿⣿⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⣿⣿⣷⣴⡜⠀⠀⠀⠀⣦⣤⣾⣿⣿⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡿⠛⠿⠿⠛⠁⠀⠀⠀⠀⠘⠿⠿⠿⠿⢧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀

⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟩🟦🟦🟦🟦🟩⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🟩🟦🟦🟦🟦🟦🟦🟩⬛⬜⬜⬜⬜ ⬜⬜⬜⬛🟩🟦🟦🟦🟦🟦🟦🟦🟦🟩⬛⬜⬜⬜ ⬜⬜⬜⬛🟦⬛🟨🟨🟨🟨🟨🟨⬛🟦⬛⬜⬜⬜ ⬜⬜⬛🟩⬛🟨🟨🟨🟨🟨🟨🟨🟨⬛🟩⬛⬜⬜ ⬛⬛⬛⬛🟨🟨🟨🟨🟨🟨🟨⬛🟨🟨⬛⬛⬛⬛ ⬛🏻🏻⬛🟨🟧🟨🟨🟨🟨⬛🏻⬛🟨⬛🏻🏻⬛ ⬜⬛🏻⬛🟧🟨🟨🟨🟨⬛🏻🏻⬛🟨⬛🏻⬛⬜ ⬜⬜⬛🟨⬛🟨🟨🟧⬛🏻🏻🏻🏻⬛🟨⬛⬜⬜ ⬜⬜⬛🟨🟧⬛⬛⬛🏻🏻🏻⬛⬛🟧🟨⬛⬜⬜ ⬜⬜⬛🟨⬛⬜🟦⬛🏻🏻⬛🟦⬜⬛🟨⬛⬜⬜ ⬜⬜⬜⬛⬛🏻🟦⬜🏻🏻⬜🟦🏻⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜⬜⬜ ⬜⬜⬜⬛🟩🟫🟫🏻🏻🏻🏻🟫🟫🟩⬛⬜⬜⬜ ⬜⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬜⬜ ⬜⬛🏻🏻⬛🟫🟩🟩🟩🟩🟩🟩🟫⬛🏻🏻⬛⬜ ⬜⬛🏻🏻⬛🟦🟫🟫🟨🟨🟫🟫🟦⬛🏻🏻⬛⬜ ⬜⬜⬛⬛⬛🟦🟦🟩🟨🟨🟩🟦🟦⬛⬛⬛⬜⬜ ⬜⬜⬜⬜⬛⬛🟩🟦🟦🟦🟦🟩⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬛🟥🟥⬛⬛⬛⬛⬛⬛🟥🟥⬛⬜⬜⬜ ⬜⬜⬜⬛🟥🟥🟥⬛⬜⬜⬛🟥🟥🟥⬛⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠶⠤⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠶⠾⠷⠶⠶⣤⣈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠾⢁⣤⣴⣶⣶⣶⣶⣦⣤⡉⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡾⢡⠞⠻⣿⣿⡿⢻⣿⣿⣿⣿⡿⠃⠀⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⢡⣿⠀⠀⣿⡟⠀⠀⣿⣿⣿⣿⣇⠀⠀⡀⢻⣆⣤⠶⠒⠒⠶⣤⡀ ⠀⠀⠀⠀⣿⣾⣿⣄⣴⣿⣷⡀⣠⣿⣿⣿⣿⣿⣿⣿⣷⠘⣿⠧⣤⠻⠽⠂⢈⣿ ⠀⠀⣠⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢸⣿⡛⠛⣴⣲⠄⢸⡇ ⢰⡟⠁⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢡⡿⠙⢿⣦⣤⣤⣤⠾⠃ ⢸⡇⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢛⣵⠟⠀⠀⣼⠃⠀⠀⠀⠀⠀ ⠈⠻⣆⠀⠀⠀⠀⠀⣻⠾⢿⣿⣛⣛⣻⣯⣵⡾⠛⠁⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠷⣄⣀⣀⣠⡿⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⠾⠛⠁⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⢀⣠⠤⠔⠒⠒⠒⠒⠒⠢⠤⢤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⣄⠀⠀⠀(Ignore for z00phile rights, Like for YIPPEE) ⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠦⠀ ⠀⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧ ⠀⡇⠀⠀⠀⢀⡶⠛⣿⣷⡄⠀⠀⠀⣰⣿⠛⢿⣷⡄⠀⠀⠘⣿⠀ ⠀⡇⠀⠀⠀⢸⣷⣶⣿⣿⡇⠀⠀⠀⢻⣿⣶⣿⣿⣿⠀⠀⠀⢸⠀ ⠀⡇⠀⠀⠀⠈⠛⠻⠿⠟⠁⠀⠀⠀⠈⠛⠻⠿⠛⠁⠀⠀⠀⢸⠀ ⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠁ ⠀⠀⠈⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣚⡁⠀⠀ ⠀⠀⠀⠀⠈⠙⠒⢢⡤⠤⠤⠤⠤⠤⠖⠒⠒⠋⠉⠉⠈⢙⢨⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹ ⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⣤⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⢠⣿⠀⠀⠀⢸⠀⠀⣿⠀⠀⠀⣸ ⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⢸⠘⡆⠀⠀⢸⣀⡰⠋⣆⠀⣠⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠤⠤⠼⠀⠘⠤⠴⠃⠀⠀⠀⠈⠉⠁

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

⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣶⣦⠀⠀ ⠀⠀⣠⣤⣤⣄⣀⣾⣿⠟⠛⠻⢿⣷⠀ ⢰⣿⡿⠛⠙⠻⣿⣿⠁⠀⠀⠀⣶⢿⡇ ⢿⣿⣇⠀⠀⠀⠈⠏⠀⠀⠀ text here ⠀⠻⣿⣷⣦⣤⣀⠀⠀⠀⠀⣾⡿⠃⠀ ⠀⠀⠀⠀⠉⠉⠻⣿⣄⣴⣿⠟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⡿⠟⠁⠀⠀⠀⠀

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⠀⣠⣶⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⢿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡏⢀⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⣠⣤⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣟⣋⣼⣽⣾⣽⣦⡀⠀⠀⠀ ⢀⣼⣿⣷⣾⡽⡄⠀⠀⠀⠀⠀⠀⠀⣴⣶⣶⣿⣿⣿⡿⢿⣟⣽⣾⣿⣿⣦⠀⠀ ⣸⣿⣿⣾⣿⣿⣮⣤⣤⣤⣤⡀⠀⠀⠻⣿⡯⠽⠿⠛⠛⠉⠉⢿⣿⣿⣿⣿⣷⡀ ⣿⣿⢻⣿⣿⣿⣛⡿⠿⠟⠛⠁⣀⣠⣤⣤⣶⣶⣶⣶⣷⣶⠀⠀⠻⣿⣿⣿⣿⣇ ⢻⣿⡆⢿⣿⣿⣿⣿⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠀⣠⣶⣿⣿⣿⣿⡟ ⠈⠛⠃⠈⢿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠋⠉⠁⠀⠀⠀⠀⣠⣾⣿⣿⣿⠟⠋⠁⠀ ⠀⠀⠀⠀⠀⠙⢿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠻⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⣆⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⣼⣿⡗⠀⠀⠀⠀ ⠀⠀⠀⣠⠟⠀⠘⠷⠶⠶⠶⠾⠉⢳⡄⠀⠀⠀⠀⠀⣧⣿⠀⠀⠀⠀⠀ ⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣤⣤⣤⣤⣤⣿⢿⣄⠀⠀⠀⠀ ⠀⠀⡇⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠙⣷⡴⠶⣦ ⠀⠀⢱⡀⠀⠉⠉⠀⠀⠀⠀⠛⠃⠀⢠⡟⠂⠀⠀⢀⣀⣠⣤⠿⠞⠛⠋ ⣠⠾⠋⠙⣶⣤⣤⣤⣤⣤⣀⣠⣤⣾⣿⠴⠶⠚⠋⠉⠁⠀⠀⠀⠀⠀⠀ ⠛⠒⠛⠉⠉⠀⠀⠀⣴⠟⣣⡴⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⠖⢛⣻⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣋⣩⣤⠶⠾⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⣠⣴⣾⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣷⣤⣀⣀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⢀⣠⣴⣶⡇⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⣠⣶⣿⣿⣿⣿⠃⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⠃⢠⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⣫⣷⣾⣿⣿⣿⣿⣿⣿⣿⡏⠀⢠⣿⣿⣿⣿⣿⣿⣯⡻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣫⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣞⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢪⣿⣿⢟⣽⣿⣿⡿⣫⣽⣿⣿⣿⣿⣿⡟⠀⠀⢠⣿⣿⣿⣿⣿⣿⣯⡻⣿⣿⣷⣝⠿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣫⣶⣿⣿⡿⣫⣾⣿⣿⣿⣿⣿⣿⣿⡁⡀⢠⣀⣿⣿⣿⣿⣿⣿⣿⣿⣮⡻⣿⣿⣷⣮⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣿⣿⡿⠟⢭⣾⡿⣻⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢹⣿⣿⣿⣿⣿⣿⣿⣯⣻⠿⠮⠙⠿⣿⣿⣿⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣤⣶⣿⡿⠿⠿⠿⢛⠋⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣀⣈⣙⣛⣛⣻⠿⠿⢿⣶⣤⣀⠀⠀⠀⠀ ⠀⠀⢀⣴⣿⠟⠉⠀⣰⣾⣿⣿⣿⣿⣿⡿⣷⣦⡀⠈⠿⣿⣿⣿⣿⣿⣿⣏⠁⠀⠀⠀⢼⣿⣿⣿⣿⣿⣿⠛⠀⣠⣶⡿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠹⣿⣷⣄⠀⠀ ⠀⣴⣿⡿⠋⠀⠀⠀⢿⣿⡿⣿⣿⣿⣿⣿⣮⣟⢿⣦⣴⣿⣿⣿⣿⣿⡏⠃⠀⠀⠀⠀⠘⢸⣿⣿⣿⣿⣿⣷⣾⠟⣫⣾⣿⣿⣿⣿⡿⣟⣿⡿⠀⠀⠀⠈⠻⣿⣧⡀ ⢊⢼⠟⠀⠀⠀⠀⠀⠘⢿⣿⣮⣻⣿⣿⣿⣿⣿⣷⣽⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⢯⣾⣿⡿⠁⠀⠀⠀⠀⠀⠹⠗⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣷⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢫⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣷⡝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣣⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣮⡻⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⣿⣿⣿⣿⣿⣿⡿⣫⣾⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⣿⣿⣶⣽⡛⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠃⠀⠉⠉⠛⣫⣵⣿⣿⣿⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⣵⣿⣿⡿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⢹⡿⠿⣿⣿⣷⣻⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠚⣛⣼⣿⣿⡟⠂⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⡇⠘⠹⣿⣿⣷⣍⣙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠛⠛⠛⠛⠋⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣇⠀⠀⠀⠀⠀⣀⣠⣤⠴⠗⠚⠛⠛⣯⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠷⠶⠖⠛⠋⠉⠁⣀⠀⢀⣀⣠⡴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⡍⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⣿⠻⠟⢿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⣯⡟⢠⠳⠜⣆⢹⣞⡿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣾⢯⣟⣷⣧⢽⣤⣤⡽⣜⣯⣿⣽⣻⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣟⣯⣿⣾⣿⡻⣞⠷⣻⣿⣿⣾⣷⣻⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⣿⡿⢻⢟⢻⢧⡛⠴⣻⢟⠻⣟⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢈⢻⡇⠀⠀⣠⣐⠀⠀⢢⣤⠑⠐⣹⣿⠓⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢺⠇⣄⠂⠹⠉⠀⠀⠉⠛⠀⣠⡸⣿⠏⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠠⢈⠀⠿⣿⣇⠀⠀⠀⠀⣸⣿⡿⠁⣉⠖⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡀⠙⠛⠷⠶⠶⠿⠟⡋⣐⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⣷⣤⣀⣈⣀⣣⣼⣾⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⣻⣽⡷⣣⢿⡟⣿⡿⢿⡿⣿⢿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣿⣻⣽⢾⡁⣀⣿⢺⡵⣛⣯⣟⣄⢈⣿⣿⣞⣷⢦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣴⣟⣯⡿⣟⡞⣷⢻⡝⣮⢳⣟⣭⣟⡿⣾⣿⣿⡿⣽⣾⢦⡀⠀⠀⠀ ⠀⠀⠀⠈⠉⠘⢯⡿⢻⡽⣞⣧⣻⣵⢻⣮⢷⣯⣟⣿⣿⣿⢿⡟⠊⠉⠁⢢⠀⠀ ⠀⠀⠀⠀⠀⠀⢲⠇⢸⣟⡾⣵⣳⣞⡿⣞⣿⣾⣿⣿⣿⡿⠈⡄⠀⠀⠀⢀⡂⠀ ⠀⠀⠀⠀⢀⠀⠀⠄⢸⡿⣿⣽⣷⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢀⠀⠀⠄⢀ ⠠⢀⢂⢈⣸⠀⠌⠀⢸⣻⢷⣻⢿⣿⣿⣿⣿⣿⢿⣟⣿⣧⠀⠀⡀⠇⡁⣠⢇⠋ ⠀⠀⠀⠀⠈⠀⠀⠀⡿⣽⣫⣟⣿⣿⠇⠘⣿⣽⣻⣞⡿⣿⠀⠀⠀⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⣟⣳⡽⣾⣿⣿⠀⠀⢻⣷⣻⢾⣽⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⣞⢷⣻⣿⣿⡇⠀⠀⢸⣷⢯⣟⣾⢿⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⡹⣞⣯⣿⣿⡃⠀⠀⠘⣿⢾⣽⢻⣞⣿⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠐⠉⠜⣹⢻⣾⣿⣿⠇⠀⠀⠠⣿⣻⠼⠗⠊⠩⡙⢦⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⣧⢀⡠⢸⣼⣿⣷⣿⣿⠃⠀⠀⠘⣷⣎⡶⣠⢀⠰⣘⣯⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⢷⠿⢯⢿⡿⠟⠛⠃⠀⠀⠀⠀⠙⠙⠳⠧⡯⠿⢿⡿⠟⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣶⣤⣤⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠾⠛⠉⠁⠀⠀⠀⠀⠀⠀⠈⠉⠛⢿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⠋⠀⠀⠀⣀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡝⣿⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡾⠁⢀⢀⣠⣶⡋⠀⠀⠀⢻⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠈⢿⣦⠀⠀⠀⠀ ⠀⠀⠀⣾⠃⠀⠹⣻⠁⢸⡇⠀⠀⢀⡏⠀⣿⠛⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠘⣿⣇⠀⠀⠀ ⠀⠀⣸⡏⠀⠀⠀⣿⣷⣿⡇⠀⠀⢸⣿⣶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠶⣿⣿⡀⠀⠀ ⢀⣾⢻⠇⠀⠀⠀⢿⣿⣿⠀⠀⠀⢸⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⡀⠀ ⣼⠃⢸⡄⠸⢆⠀⠘⢷⠏⢠⣤⣄⠀⢻⡷⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢻⣷⠀ ⢻⣄⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⢀⣿⡇ ⠈⢿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣖⠒⠶⠒⠛⠁⣀⣼⡿⠀ ⠀⠀⠉⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣾⣷⣶⣶⣾⣿⠿⠋⠀⠀ ⠀⠀⢀⣴⣿⣿⣿⡦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀ ⠀⣰⡿⣻⣿⣿⣿⣿⣦⡉⠓⠦⠤⢄⣀⡀⣀⡠⢤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣌⣻⣿⣧⠀⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⣀⡀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀ ⠀⠀⠀⠀⠉⠉⠉⠉⠙⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠿⠛⠿⠟⠛⠛⠛⠉⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⠟⠻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠛⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⠃⠆⠘⣿⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⡀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⣀⣀⣼⣿⣇⠀⠀⠀⠀⠀⠀⢸⣿⣄⣀⣀⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⡀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡯⠅⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡼⣿⣿⢳⡟⠁⠀⠀⠀⠀⠀⠀⢸⣷⡹⣿⡿⣹⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⠖⠋⠉⠉⠉⠙⠲⣦⡀⠀⢻⣷⣄⣠⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⣄⣰⣿⠇⠀⠀⢀⣠⡴⠶⠶⠶⢤⣄⡀⠀ ⠸⣏⡀⠒⢶⠀⠀⢠⠀⢸⣷⠀⠀⠙⠻⠟⠋⠀⢠⡀⠀⠀⠀⠀⣰⡄⠈⠛⠛⠛⠃⠀⠀⢰⣏⠀⢀⣀⣠⣀⡀⠀⢻⡄ ⠀⠉⠛⠦⠤⠤⠤⠼⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠷⠶⠶⠾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣄⣁⣉⣉⣩⣶⠟⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀