⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⡘⡄⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⡇⢱⠀
⠀⠀⠀⠳⡢⣄⠀⠀⠀⠀⠀⠀⢸⠄⡇⠸⠀⠀⠀⠀⠀⠀⢀⡤⡾⠁
⠀⠀⠀⠀⢹⣢⡉⠢⡀⠀⠀⠀⢸⠄⡇⢘⠃⠀⠀⠀⡠⠊⡑⣹⠁
⠀⠀⠀⠀⠀⠱⡜⢄⠘⢢⡀⠀⢸⠁⡇⢸⡄⠀⣠⠊⢀⠌⡴⠁
⠀⠀⠀⠀⠀⠀⠱⡀⠡⡀⠑⡄⠸⠄⡇⢸⠀⡔⠁⡐⠁⡲⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠈⢢⡈⢂⠘⡜⡇⡇⣘⡜⠠⠊⣠⠊⠀
⠑⠲⢖⡯⠘⣀⠒⠂⠤⢽⡦⡑⠜⢏⠀⡟⠔⡡⣖⡡⠤⠰⠒⣒⠒⣒⣶⠖⠂
⠀⠀⠀⠉⠓⠲⠅⣉⣀⡐⠠⠉⠊⣼⣼⡤⠚⠩⠀⠂⢀⣉⠰⠔⠒⠉⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡌⡻⢹⡜⡟⢯⡩⣛⢭⡉⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣠⣾⣳⠥⠒⠁⠀⡇⠀⠙⠲⢕⣞⣦⡀
⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠉⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⡘⡄⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⡇⢱⠀
⠀⠀⠀⠳⡢⣄⠀⠀⠀⠀⠀⠀⢸⠄⡇⠸⠀⠀⠀⠀⠀⠀⢀⡤⡾⠁
⠀⠀⠀⠀⢹⣢⡉⠢⡀⠀⠀⠀⢸⠄⡇⢘⠃⠀⠀⠀⡠⠊⡑⣹⠁
⠀⠀⠀⠀⠀⠱⡜⢄⠘⢢⡀⠀⢸⠁⡇⢸⡄⠀⣠⠊⢀⠌⡴⠁
⠀⠀⠀⠀⠀⠀⠱⡀⠡⡀⠑⡄⠸⠄⡇⢸⠀⡔⠁⡐⠁⡲⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠈⢢⡈⢂⠘⡜⡇⡇⣘⡜⠠⠊⣠⠊⠀
⠑⠲⢖⡯⠘⣀⠒⠂⠤⢽⡦⡑⠜⢏⠀⡟⠔⡡⣖⡡⠤⠰⠒⣒⠒⣒⣶⠖⠂
⠀⠀⠀⠉⠓⠲⠅⣉⣀⡐⠠⠉⠊⣼⣼⡤⠚⠩⠀⠂⢀⣉⠰⠔⠒⠉⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡌⡻⢹⡜⡟⢯⡩⣛⢭⡉⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣠⣾⣳⠥⠒⠁⠀⡇⠀⠙⠲⢕⣞⣦⡀
⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠉⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⡘⡄⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⡇⢱⠀
⠀⠀⠀⠳⡢⣄⠀⠀⠀⠀⠀⠀⢸⠄⡇⠸⠀⠀⠀⠀⠀⠀⢀⡤⡾⠁
⠀⠀⠀⠀⢹⣢⡉⠢⡀⠀⠀⠀⢸⠄⡇⢘⠃⠀⠀⠀⡠⠊⡑⣹⠁
⠀⠀⠀⠀⠀⠱⡜⢄⠘⢢⡀⠀⢸⠁⡇⢸⡄⠀⣠⠊⢀⠌⡴⠁
⠀⠀⠀⠀⠀⠀⠱⡀⠡⡀⠑⡄⠸⠄⡇⢸⠀⡔⠁⡐⠁⡲⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠈⢢⡈⢂⠘⡜⡇⡇⣘⡜⠠⠊⣠⠊⠀
⠑⠲⢖⡯⠘⣀⠒⠂⠤⢽⡦⡑⠜⢏⠀⡟⠔⡡⣖⡡⠤⠰⠒⣒⠒⣒⣶⠖⠂
⠀⠀⠀⠉⠓⠲⠅⣉⣀⡐⠠⠉⠊⣼⣼⡤⠚⠩⠀⠂⢀⣉⠰⠔⠒⠉⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡌⡻⢹⡜⡟⢯⡩⣛⢭⡉⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣠⣾⣳⠥⠒⠁⠀⡇⠀⠙⠲⢕⣞⣦⡀
⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠉⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⡘⡄⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⡇⢱⠀
⠀⠀⠀⠳⡢⣄⠀⠀⠀⠀⠀⠀⢸⠄⡇⠸⠀⠀⠀⠀⠀⠀⢀⡤⡾⠁
⠀⠀⠀⠀⢹⣢⡉⠢⡀⠀⠀⠀⢸⠄⡇⢘⠃⠀⠀⠀⡠⠊⡑⣹⠁
⠀⠀⠀⠀⠀⠱⡜⢄⠘⢢⡀⠀⢸⠁⡇⢸⡄⠀⣠⠊⢀⠌⡴⠁
⠀⠀⠀⠀⠀⠀⠱⡀⠡⡀⠑⡄⠸⠄⡇⢸⠀⡔⠁⡐⠁⡲⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠈⢢⡈⢂⠘⡜⡇⡇⣘⡜⠠⠊⣠⠊⠀
⠑⠲⢖⡯⠘⣀⠒⠂⠤⢽⡦⡑⠜⢏⠀⡟⠔⡡⣖⡡⠤⠰⠒⣒⠒⣒⣶⠖⠂
⠀⠀⠀⠉⠓⠲⠅⣉⣀⡐⠠⠉⠊⣼⣼⡤⠚⠩⠀⠂⢀⣉⠰⠔⠒⠉⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡌⡻⢹⡜⡟⢯⡩⣛⢭⡉⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣠⣾⣳⠥⠒⠁⠀⡇⠀⠙⠲⢕⣞⣦⡀
⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠉⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⡘⡄⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⡇⢱⠀
⠀⠀⠀⠳⡢⣄⠀⠀⠀⠀⠀⠀⢸⠄⡇⠸⠀⠀⠀⠀⠀⠀⢀⡤⡾⠁
⠀⠀⠀⠀⢹⣢⡉⠢⡀⠀⠀⠀⢸⠄⡇⢘⠃⠀⠀⠀⡠⠊⡑⣹⠁
⠀⠀⠀⠀⠀⠱⡜⢄⠘⢢⡀⠀⢸⠁⡇⢸⡄⠀⣠⠊⢀⠌⡴⠁
⠀⠀⠀⠀⠀⠀⠱⡀⠡⡀⠑⡄⠸⠄⡇⢸⠀⡔⠁⡐⠁⡲⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠈⢢⡈⢂⠘⡜⡇⡇⣘⡜⠠⠊⣠⠊⠀
⠑⠲⢖⡯⠘⣀⠒⠂⠤⢽⡦⡑⠜⢏⠀⡟⠔⡡⣖⡡⠤⠰⠒⣒⠒⣒⣶⠖⠂
⠀⠀⠀⠉⠓⠲⠅⣉⣀⡐⠠⠉⠊⣼⣼⡤⠚⠩⠀⠂⢀⣉⠰⠔⠒⠉⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡌⡻⢹⡜⡟⢯⡩⣛⢭⡉⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣠⣾⣳⠥⠒⠁⠀⡇⠀⠙⠲⢕⣞⣦⡀
⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠉⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⡘⡄⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⡇⢱⠀
⠀⠀⠀⠳⡢⣄⠀⠀⠀⠀⠀⠀⢸⠄⡇⠸⠀⠀⠀⠀⠀⠀⢀⡤⡾⠁
⠀⠀⠀⠀⢹⣢⡉⠢⡀⠀⠀⠀⢸⠄⡇⢘⠃⠀⠀⠀⡠⠊⡑⣹⠁
⠀⠀⠀⠀⠀⠱⡜⢄⠘⢢⡀⠀⢸⠁⡇⢸⡄⠀⣠⠊⢀⠌⡴⠁
⠀⠀⠀⠀⠀⠀⠱⡀⠡⡀⠑⡄⠸⠄⡇⢸⠀⡔⠁⡐⠁⡲⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠈⢢⡈⢂⠘⡜⡇⡇⣘⡜⠠⠊⣠⠊⠀
⠑⠲⢖⡯⠘⣀⠒⠂⠤⢽⡦⡑⠜⢏⠀⡟⠔⡡⣖⡡⠤⠰⠒⣒⠒⣒⣶⠖⠂
⠀⠀⠀⠉⠓⠲⠅⣉⣀⡐⠠⠉⠊⣼⣼⡤⠚⠩⠀⠂⢀⣉⠰⠔⠒⠉⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡌⡻⢹⡜⡟⢯⡩⣛⢭⡉⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣠⣾⣳⠥⠒⠁⠀⡇⠀⠙⠲⢕⣞⣦⡀
⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠉⠀