⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⣀⣤⣤⡤⣤⣤⣤⣄⡀
⡀⡀⡀⡀⡀⡀⡀⡀⣠⣟⣟⢹⣩⣸⣶⡾⢭⣿⣿⡷⣄⡀
⡀⡀⡀⡀⡀⡀⣠⣿⣿⢿⠎⠅⢀⠘⠐⡋⠻⢿⣷⣟⣿⣿⡄
⡀⡀⡀⡀⣠⣿⣿⣿⡄⡅⡀⡀⠁⡀⡀⡀⢈⣨⠻⣿⣷⢿⣿
⡀⡀⡀⣼⣿⣿⣿⣷⡀⠨⡀⡀⡀⡀⡀⠂⡀⠈⢠⢁⢿⣧⣿⣷
⡀⡀⠐⣿⣿⣿⢹⡚⡌⡀⢂⡀⡀⡀⡀⠐⢀⡀⠰⠹⠢⢿⣿⣿⡆
⡀⡀⡀⣿⣿⣟⡿⣜⡀⡍⡀⠂⡀⡀⡀⡀⡀⢀⣀⣣⡄⠬⢻⣿⣿
⡀⡀⡀⣿⣿⡇⣼⢑⠻⡿⠿⠶⡀⡀⡀⠠⠛⠻⠛⣦⡉⢶⢬⣿⣿
⡀⡀⡀⣿⣿⡇⠠⡈⠶⠃⡀⠁⢤⡀⠒⠼⠤⡀⡀⠂⠒⢬⠈⡯⣿
⡀⡀⡀⢸⣿⣑⡇⠃⣤⢶⠟⡯⠄⡟⠒⣿⡜⠟⣶⢢⣔⠈⡇⣠⠇
⡀⡀⡀⡀⠃⡇⠉⡌⡀⡀⡀⡀⢀⠁⡀⢜⡄⠈⡀⠄⡀⡀⠅⣿
⡀⡀⡀⡀⡀⣷⡀⠓⠤⠩⠤⢒⡅⠄⡀⢀⣆⠒⠤⠤⠔⠣⡀⡇
⡀⡀⡀⡀⡀⢿⠈⠠⡀⡀⣠⡃⡀⡆⡀⡀⡀⢧⡀⡀⡀⠑⢸
⡀⡀⡀⡀⡀⠘⡀⠠⡀⡀⠁⠈⠋⠉⡉⠙⠋⡀⢀⡀⡀⡀⡘
⡀⡀⡀⡀⡀⡀⡀⢁⡀⠸⡀⡀⡀⡀⢓⠐⡀⣂⡀⠣⡀⠂
⡀⡀⡀⡀⡀⡀⡀⡆⡀⠈⠛⠓⣶⠿⠶⠟⣷⠛⢛⠉⡀⡸
⡀⡀⡀⡀⡀⡀⡀⡀⣄⢰⠐⣤⠠⡄⣠⠤⠤⢠⠘⡀⣠
⡀⡀⡀⡀⡀⡀⡀⡀⠈⣧⡄⡀⠙⠤⡤⠥⡎⡀⢀⠟
⡀⡀⡀⡀⡀⡀⡀⡀⡀⠈⠿⣄⢄⢼⣤⣉⢀⡴⠁