⣷⢳⠾⣜⢶⣣⠷⣞⡼⣖⣳⢞⡶⣳⠞⣶⡹⢖⡣⢞⡴⣓⠞⣶⢳⡞⣶⢳⡞⣶⢳⣞⡶⣳⣞⡶⣳⢞⡶⣳⢞⡶⣳⢞⡶⣳⢞⢶⡹⣲ ⣯⢏⡿⣹⢎⡼⣙⢮⡳⣝⢮⡻⣜⢧⣛⠶⣙⢮⠱⢎⠴⣉⠞⣥⠳⣝⢮⣳⡝⣶⢻⣮⢽⣳⢯⢾⡹⣎⢷⡹⣎⢷⡹⣎⢷⡙⢮⢣⠳⡥ ⡗⣯⠞⣥⢏⡖⣡⢋⡵⣙⡎⢷⡙⢮⡙⢮⡱⢊⡝⣌⠲⢡⠛⣬⢛⣬⠳⣝⣎⢷⣻⢮⣟⡧⣟⢮⡳⣝⢮⢳⡹⢎⡵⢭⠲⡙⡎⢥⠓⣌ ⠿⣜⡻⡜⣎⢖⡡⢒⠔⡡⢞⡡⢏⠣⠝⣂⢑⠣⡌⢠⠁⣌⣡⢤⣉⠤⣙⡓⠬⢳⣟⡞⣾⣱⢏⠾⣱⢋⡎⢧⡙⣎⠜⣢⢋⠵⠘⢢⠉⠄ ⢻⡜⢧⡝⠈⢤⡑⠃⠀⢀⠡⣔⣤⡶⠿⠖⠛⠉⠉⠉⠀⠁⠀⠀⠉⠉⠀⠉⠉⠉⠛⠒⠖⠶⣤⡉⠶⡩⢜⢢⠱⡌⢚⠰⢌⠢⠉⠄⠈⠀ ⢃⠞⠱⢈⡰⢂⣁⣦⣤⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⢷⣦⡀⠈⠄⠃⠂⠀⠀⠀⠀⠐ ⢌⢊⠰⢈⢰⣷⠟⠉⠙⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠙⠳⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠂⣀⣶⠟⠁⠀⠀⠀⠈⠉⠷⣖⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣻⠀⠀⠈⠻⣷⡄⠀⠀⠀⠀ ⠀⢰⣾⠋⠀⠀⠀⠀⠀⠀⠀⠘⢹⣷⣌⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠴⠲⡄⠀⠀⠀⠀⠀⠋⠙⠳⣦⠠⣿⠐⠀⠀⠀⠀⠈⢻⣦⠀⠀⠀ ⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢻⣇⡠⠀⠀⠀⠀⠀⠀⠙⣡⣄⠀⠀⠀⠀⠀⠀⢀⣶⣦⠀⠀⠐⣿⣤⠀⠀⠀⠀⠀⠀⠀⢽⡄⠀ ⢘⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣛⣦⣀⠀⠀⠀⣀⣀⠀⢿⡿⠀⠀⠀⠀⠀⠀⠀⠻⠟⠀⠀⠀⠸⣯⢀⠀⠀⠀⠀⠀⠀⢨⣿⠀ ⠈⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⡦⠀⠀⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠗⠀⠀⠀⠀⠀⠀⠐⢹⣧⡂⠀⠀⠀⠀⠀⣿⠀⠀ ⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠘⢣⡻⢿⡿⣿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣿⣄⠀⠀⠀⣸⡿⠀⠀ ⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⠂⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣄⠀⢠⡿⠁⠀⠀ ⠀⠀⠘⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢙⣷⡟⠁⠀⠀⠀ ⠀⠀⠀⠀⠻⢶⣴⣤⣄⣀⣀⣀⠀⠀⠀⠀⠼⠃⠩⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣤⣴⠟⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⡿⠿⠋⠁⠀⠀⠀⠀⠐⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⢋⠡⡀⠌⢡⡀⢀⠀⣀⡶⢆⡴⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⣿⣿⣿⣿⣏⠠⠂⡜⢠⠓⣌⠎⣦⠱⣎⢼⣩⠶⣭⠲⠡ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⢿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⡝⠐⠒⠣⠞⠮⣽⢶⣻⣼⠣⢇⣟⣬⡳⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⢿⣿⣿⣿⣷⣤⣤⣄⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣧⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠛⠁⠁⠀ ⠀⢀⢀⡀⠀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠸⠞⠐⠛⠉⠉⠉⠋⠙⠁⠒⠀⠂⠀⠀⠀⠈⠀⠙⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠄⠘⠄⠩⠈⠡⠒⠀⠤⠰⠼⠶⠻⠶⠶⠲⠀⠄⠠⠀⠀⠤⠀⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠀⠀⠀⢠⣤⣤⣤⡤⣀⠀⡠⠀⣀⢄⠠⠀⡀⡀⢀⡀⠀⢀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⢀⣈⢀⠀⠀⠀⠀⡀⠀⠀⠀⢀⣀⢀⡀⠆⡀⢠⠀⡀⡂⡀⣠⠡⢀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⠰⠹⠟⠿⠯⠻⠴⠂⠤⠀⠀⠈⠈⠁⠉⠉⠉⠋⠯⠛⠝⠉⠭⠋⠩⠝⠉⠉⠁⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀