⣿⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⢿ ⣿⢾⡽⣷⢯⣷⢿⣽⢾⣻⣾⡽⣷⢯⣷⢿⣽⢾⣻⣾⡽⣷⢯⣷⢿⣽⢾⣻⣾⡽⣷⢯⣷⢿⣽⢾⣻⣾⡽⣷⢯⣷⢿⣽⢾⣻⣾⡽⣷⢯⣷⢿⣽⢾⣻⣾⡽⣷⢯⣷⢿⣽⢾⣻⢿ ⣿⣯⣿⣯⡟⣯⣿⣾⣿⣽⡞⣿⣽⢻⣽⡟⣾⣿⣽⡞⣿⣽⢻⣽⡟⣾⣿⣽⡞⣿⣽⢻⣽⡟⣾⣿⣽⡞⣿⣽⢻⣽⡟⣾⣿⣽⡞⣿⣽⢻⣽⡟⣾⣿⣽⡞⣿⣽⢻⣽⡟⣾⡟⣯⣿ ⣿⢾⣽⡾⣟⣯⣷⣟⣾⣽⣻⣽⢯⡿⣷⣟⡿⣾⣽⣻⣽⢯⡿⣷⣿⣽⣭⣿⣽⣯⣽⣯⣿⢽⣯⣽⣽⣿⣭⣿⣟⣯⢿⣻⡾⣽⣻⣽⢯⡿⣷⣟⡿⣾⣽⣻⣽⢯⡿⣷⣟⣯⢿⣻⣽ ⣿⢯⣷⣟⡿⣽⡾⣽⣾⣳⡿⣽⣻⣟⡷⣯⣿⣳⣯⢿⣾⣻⣟⡷⣿⣿⣿⣿⣿⣿⠿⣤⣤⣴⠮⣿⣿⣿⣿⣿⡿⣯⣿⣳⣿⣻⣽⢯⣟⣿⣳⣯⢿⡷⣯⣟⣾⣟⣿⣳⣯⢿⣻⣽⣻ ⠟⠯⠷⠻⠿⠽⠻⠽⠞⠯⠟⠯⠷⠻⠿⠽⠞⠯⠟⠿⠞⠷⠻⠽⢿⣯⣋⣁⣉⣍⠗⣀⣭⡀⡺⣯⣁⣉⣩⣹⡿⠳⠯⠷⠻⠷⠯⠟⠿⠾⠽⠯⠿⠽⠯⠟⠾⠽⠞⠯⠟⠿⠽⠳⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠿⠿⢿⣿⣿⣼⣿⡿⣻⣧⡿⣿⡿⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠰⠐⠀⣠⢞⣯⣷⠷⣷⣫⣛⣦⠀⠧⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡶⢀⣏⢿⠿⠾⠀⠿⠹⢿⣸⡆⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⣺⠸⡿⣻⡷⠄⢀⠀⣾⢿⣧⡇⢹⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡀⡽⠄⠻⣷⡿⡶⢿⣳⠯⣻⡿⢀⣛⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⡐⣀⠂⡐⣀⠂⡐⣀⠂⡐⣀⠂⡐⣀⠂⡐⣀⠂⡐⣀⠂⡐⢠⠀⢧⡀⢲⣀⠉⠓⠻⠯⠷⠗⠉⢀⡾⠁⡼⢀⡐⢀⢂⡐⢀⢂⡐⢀⢂⡐⢀⢂⡐⢀⢂⡐⢀⢂⡐⢀⢂⡐⢀⠂ ⢄⠡⢄⢊⠐⡠⢘⠠⡐⡈⠔⡠⢘⠠⡐⡈⠔⡠⢘⠠⡐⡈⠔⢂⠡⠌⠳⣌⠁⠢⠲⢤⡆⣰⠲⠐⢉⣠⠞⢁⠂⡄⠃⡄⢂⠡⢂⠄⡃⢄⢂⠡⢂⠄⡃⢄⢂⠡⢂⠄⢃⠤⣀⠃⡌ ⠂⡅⢂⢂⠡⡐⢂⠡⡐⢈⠔⡐⢂⠡⢐⡈⠔⡐⢂⠡⢐⡈⠔⡈⠢⠑⡄⢂⡙⠒⠤⠤⡤⠤⠤⢒⠋⠄⡨⠐⡈⠤⠑⡠⢁⠒⣈⠰⠐⡈⢄⠢⢁⠢⠌⢠⠂⢡⠂⠌⢂⠰⢀⠒⠠ ⢃⠰⡀⠄⢂⠠⡘⠠⡀⠆⢠⠠⠘⡠⠄⢠⠐⢠⢀⠂⡄⠠⡐⠠⢂⠂⠤⣀⠠⠚⢠⠂⡀⠆⠰⢀⡐⠄⠃⡄⠃⡄⠢⢀⡘⠠⡀⠄⠢⠐⡀⢄⠂⢄⠰⢀⠰⢀⠰⠐⣀⠂⢄⡐⢃ ⠌⡒⠠⡑⡈⠔⠠⡑⢠⠘⡀⠆⡑⢠⠘⢠⠘⣀⠢⠌⢠⠑⠠⡑⡀⠣⢐⡀⠆⣉⠐⢂⡑⡈⢡⠂⠰⢈⠡⡐⠡⣀⠃⠔⡠⠑⡠⢁⠃⠜⡀⠆⠌⢂⠄⢃⠰⠈⡄⠃⠤⠘⢠⠐⢂ ⠂⡥⠁⡔⠐⡨⠁⠔⢂⠰⢁⠒⡈⠤⠘⣀⠒⡀⠆⡘⠠⠌⢡⠐⠄⢃⠄⢂⠒⢠⠘⢠⠐⡈⠤⠈⡅⢂⠡⡐⠡⢠⠘⡀⠆⢡⠐⠌⡰⢈⡐⠌⡈⠆⡈⠆⡈⠅⠤⠉⠤⠉⡄⡘⠠