⣏⢿⣹⢏⣿⡹⣏⡿⣹⣏⢿⣹⢏⡿⡉⠛⠽⢫⠟⡽⠫⠟⣽⢫⡟⣽⣫⢟⣽⢫⣟⡽⣫⡟⣽⣫⢟⣽⢫⣟⡽⣫⡟⣽⣫ ⣞⢯⣞⡻⣖⢿⣹⢞⡷⣺⢏⡷⣫⠽⠙⠂⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠻⣞⣭⠿⣜⡷⣫⡽⢧⣻⢞⣭⠿⣜⡷⣫⡽⢧⣻ ⢾⣹⡞⣽⢽⡺⣝⡾⣹⢧⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢯⡻⣝⣞⠷⣽⣫⢷⣛⣮⢿⣹⢞⣳⡽⣏⡷ ⣻⡼⣽⣹⢾⣹⡽⣺⣍⢃⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣳⢞⣻⡵⢯⣞⡽⢮⣗⢯⢯⣳⡽⣞⡽ ⣳⢽⡞⣵⢯⣳⡽⢣⠏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢫⢯⣳⡽⣏⡾⣝⡯⣞⢯⣛⣶⢻⣼⢻ ⣽⢺⣽⢹⣾⢱⣤⣦⣴⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⣷⣽⢺⣵⢻⣼⡏⣯⣽⡎⣿⣼⣯ ⣽⢺⣭⢷⣫⢟⣽⡺⣵⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡽⣖⢯⣳⢯⣳⢏⡾⣝⡧⣟⢧⡷⣞ ⣞⣻⡼⣳⢏⣟⡶⣻⢵⠃⠀⠀⠀⠀⠀⠀⠀⢀⡘⠄⠀⢦⠐⠀⠀⠀⠀⠀⠀⠀⢸⣳⢽⣫⢗⣯⡳⢯⣛⡾⣝⣞⢯⢾⣹ ⢾⣱⡟⣵⡻⢮⣗⢯⡻⠀⡄⠀⠀⠀⠀⠀⠀⠀⠘⠈⠄⠈⠁⠀⠂⠀⠀⠀⠀⠀⣞⣧⢟⡾⣹⢶⣛⣯⠽⣞⡽⢮⣻⡝⣾ ⣻⡼⣽⢳⣻⠽⣮⠏⣡⠂⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠡⡒⢤⢂⡄⠀⠀⣸⣏⡾⣽⢺⣝⡧⡿⣼⢻⣝⠾⣏⡷⣽⢳ ⣳⢽⡞⣭⢷⣛⣧⠿⣝⣳⠾⡄⠀⠀⠀⠀⢀⠂⠰⢀⠡⢈⠖⣨⠐⣣⢒⡀⢀⡷⣽⢺⣵⡻⢮⣽⢳⣏⢿⡼⣻⡝⡾⣵⣻ ⣽⢺⣝⢯⡾⣹⢮⣟⣭⢷⡻⣽⡀⠀⠀⠀⠀⢈⠐⡀⠂⠄⣋⠔⡣⢆⡣⠀⡼⣝⣞⢯⡶⣛⡿⣜⣯⢞⣯⢞⡷⣹⢟⡶⢯ ⣞⣻⡼⣻⡼⣏⡷⣞⡽⣺⣝⡧⣷⡀⠀⠀⠀⠀⠂⠄⠉⠀⠎⣁⢡⠣⢁⠀⠽⢫⣞⢯⢾⣝⣳⢯⡞⣽⢮⣛⡾⣝⡯⣞⢿ ⢾⣱⡟⣵⣻⢼⡳⣏⣾⢳⡽⣺⡵⡃⣄⠀⠰⠁⠀⠌⠐⠠⢀⡠⡃⢃⠜⣀⠀⠀⠉⠻⢞⣮⡽⣞⡽⣣⢿⣹⡞⣽⢞⡽⣞ ⣻⡼⣽⢣⣯⢗⣻⣝⣮⢯⣗⢯⣳⢇⣺⠄⠀⠀⡀⢈⠄⠂⠄⠃⢁⠎⠰⣆⠀⡀⠀⠀⠀⠈⠑⠛⠘⠯⠷⠣⠿⠹⠾⣹⣞ ⣳⡽⣞⣻⡼⣫⢷⡞⣮⠷⣞⢯⠓⠋⠁⠀⠀⠀⠘⢄⢈⠐⡈⠐⡌⢢⠜⠌⠀⣐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣷⣹⢞⣵⡻⣝⣮⡽⠳⠋⠉⠀⠀⠀⠀⠀⠀⠀⡀⢈⠄⡊⣀⠣⣐⢫⢞⡀⠔⢂⠈⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⢣⡿⣜⡧⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡀⠘⠀⠸⠠⠀⢠⠘⠀⠀⠠⡄⢣⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢾⡙⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⡀⢖⡀⠀⠀⠀⠀⢄⠄⠊⢱⠴⠁⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣯⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⢡⢂⠜⡀⠁⢀⠈⠈⣖⡫⣉⡰⡁⣖⠡⠀⠀⠀⠀⠂⠄⠀⠀⠀⠀⠀⠀⠀ ⣽⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⡱⢊⡌⠱⢀⠧⡀⢧⠂⢳⢈⡵⣓⡀⢌⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀ ⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢑⠢⠜⡁⠄⢣⠑⡎⢁⢫⢖⡱⣇⠃⢌⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠊⠰⡉⠔⡢⠄⠀⠀⠬⡙⠪⢵⡚⠄⣊⠀⠀⠀⠀⠄⢀⠀⠄⠀⠀⠀⠀⠀