⢠⣶⣶⣶⣤⡀
⠀⠀⠀⠀⠀⢸⣿⣿⠛⣿⣿⣧
⠀⠀⠀⢀⠀⠈⠻⣿⣄⣿⣿⣿⡇
⠀⣶⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⡇
⠀⠈⠻⠟⠛⠉⠉⠉⠉⣿⣿⣿⣇
⠀⠀⠀⠀⠀⠀⢠⣴⣶⣿⣿⣿⣿⣶⣶⣶⣤
⠀⠀⠀⠀⠀⠀⠸⣿⣿⣧⣿⣿⡟⠀⠹⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠈⢿
⠀⠀⠀⠀⣀⣤⣤⣶⣶⣦⣤⡀
⣾⣷⠀⢸⣿⣟⣹⣿⡏⣿⣿⣿⡆
⠈⠁⠀⠈⠙⠻⠿⠟⠃⣿⣿⣿⡇
⠀⢶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⡇
⠀⠈⠙⠟⠛⠛⠛⠛⠛⠛⠛⠋
⠀⠀⠀⠀⠀⠀⠀⢠⣤⣶⣶⣶⠶⣶⣶⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠉⠀⠀⢻⣿⣿⣧
⠀⠀⠀⠀⠀⠠⣿⡦⠀⠀⠀⠀⠀⣸⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠈⠀⠀⢀⣤⣀⣠⣿⣿⣿⡏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠿⠋⠁
⠀⠲⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⠄
⠀⠀⠈⠙⠉⠉⠉⠉⠁
⠀⣤⣶⣶⣦⣤⣤⣀⡀⣀⣀⣀⡀
⠀⠈⠛⠛⠛⣩⣽⣿⣿⣿⡛⣿⣷
⠀⠀⣠⣶⣿⣿⡟⠉⠀⠘⠿⣿⣿
⠀⠸⠿⣿⡿⠛⠀⠀⠀⠀⠀⠀⠉
⣀⣀⠀⠀⢠⣴⣶⣶⡶⣶⣦⣀
⢘⣇⠀⢸⣿⣏⢹⣿⡇⣿⣿⣿⡇
⠉⠋⠀⠈⠉⠛⠛⠛⠁⣿⣿⣿⡇
⠀⠀⠀⠀⠀⢰⣾⣿⣿⣿⣿⣿⠃
⠀⠀⠀⠀⠀⠘⢿⣿⠀⢹⣿⣿⡄
⠀⠀⠀⠀⠀⠀⠈⠻⣧⣼⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⡃
⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⢡⢶⣶⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⢸⠀⣿⣿⣇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠻⠟⠀⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡿
⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⠃
⠀⠀⠀⠀⠀⢸⣿⣿⠛⣿⣿⣧
⠀⠀⠀⢀⠀⠈⠻⣿⣄⣿⣿⣿⡇
⠀⣶⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⡇
⠀⠈⠻⠟⠛⠉⠉⠉⠉⣿⣿⣿⣇
⠀⠀⠀⠀⠀⠀⢠⣴⣶⣿⣿⣿⣿⣶⣶⣶⣤
⠀⠀⠀⠀⠀⠀⠸⣿⣿⣧⣿⣿⡟⠀⠹⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠈⢿
⠀⠀⠀⠀⣀⣤⣤⣶⣶⣦⣤⡀
⣾⣷⠀⢸⣿⣟⣹⣿⡏⣿⣿⣿⡆
⠈⠁⠀⠈⠙⠻⠿⠟⠃⣿⣿⣿⡇
⠀⢶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⡇
⠀⠈⠙⠟⠛⠛⠛⠛⠛⠛⠛⠋
⠀⠀⠀⠀⠀⠀⠀⢠⣤⣶⣶⣶⠶⣶⣶⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠉⠀⠀⢻⣿⣿⣧
⠀⠀⠀⠀⠀⠠⣿⡦⠀⠀⠀⠀⠀⣸⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠈⠀⠀⢀⣤⣀⣠⣿⣿⣿⡏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠿⠋⠁
⠀⠲⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⠄
⠀⠀⠈⠙⠉⠉⠉⠉⠁
⠀⣤⣶⣶⣦⣤⣤⣀⡀⣀⣀⣀⡀
⠀⠈⠛⠛⠛⣩⣽⣿⣿⣿⡛⣿⣷
⠀⠀⣠⣶⣿⣿⡟⠉⠀⠘⠿⣿⣿
⠀⠸⠿⣿⡿⠛⠀⠀⠀⠀⠀⠀⠉
⣀⣀⠀⠀⢠⣴⣶⣶⡶⣶⣦⣀
⢘⣇⠀⢸⣿⣏⢹⣿⡇⣿⣿⣿⡇
⠉⠋⠀⠈⠉⠛⠛⠛⠁⣿⣿⣿⡇
⠀⠀⠀⠀⠀⢰⣾⣿⣿⣿⣿⣿⠃
⠀⠀⠀⠀⠀⠘⢿⣿⠀⢹⣿⣿⡄
⠀⠀⠀⠀⠀⠀⠈⠻⣧⣼⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⡃
⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⢡⢶⣶⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⢸⠀⣿⣿⣇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠻⠟⠀⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡿
⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⠃