⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⢀⣀⠀⠀⠀⠀⠀⢀⡀
⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⢀⡠⠔⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀⡇⢀⣠⣴⣾⠟⢱
⠀⠀⠀⠀⠀⡌⠈⠻⣿⣿⣦⣆⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠤⢤⣽⣿⣿⣟⠡⢤⡘
⠀⠀⠀⠀⢰⠠⣒⠉⠙⢿⣿⡿⠷⣀⣠⠴⢤⣀⠀⠀⠈⠁⡀⡴⠿⢿⣿⠋⠀⣔⠁⠇
⠀⢀⡠⠔⡎⠀⢠⣃⣠⠞⠁⠀⠀⠀⠀⠀⡄⠀⠉⠑⠒⡉⠈⠀⠀⠀⠈⠑⠶⡭⠼⡄
⢠⠃⠀⠀⠇⠀⢀⠞⠁⠀⢠⠀⢠⠚⠉⡹⢳⠀⠀⠀⠀⡷⡏⠉⠙⢢⡀⠀⠀⠘⢟⠁
⢸⠀⠀⠀⢸⢠⠃⠀⠀⠀⡎⠀⠀⠀⣼⣁⠘⡀⠀⠀⠀⡇⡈⢢⣀⡀⠁⠀⠀⠀⠈⢆
⡜⠀⠀⠀⢀⠇⠀⠀⠀⢸⠀⢀⡴⠋⢉⠉⠳⣵⡀⠀⠀⣯⠞⢉⡉⠹⣆⠀⠀⠀⠀⠘⡆
⠈⠐⡎⠑⠟⠀⠀⠀⠀⡏⠀⡊⠀⠀⠀⣵⡀⠉⠑⣄⠀⠃⠀⠀⢈⣦⠹⡀⠀⢰⢦⡀⡇
⠀⢰⠀⠀⡀⠀⠀⠀⠀⡇⢠⣧⣤⣤⣾⣿⣷⠀⠀⠀⠁⣦⣤⣴⣾⣿⡆⡇⠀⢸⠀⠙⠇
⠀⢸⣦⣀⡇⠀⠀⠀⠀⡇⢸⣿⣿⣿⣿⡿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⡇⠀⢸
⠀⢸⣿⣿⣧⠀⠀⠀⠀⡇⠈⠳⠈⠛⠋⠐⠃⠀⠀⠀⠤⠛⠈⠛⠉⠜⠀⢇⡀⡼
⠀⠀⢿⣿⣿⣆⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢆⣀⠤⣀⡠⠀⠀⠀⠀⠀⠀⢀⣵⠃
⠀⠀⠈⠻⣿⠿⢷⣄⠀⠀⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢀⣠⠔⣫⠃
⠀⠀⠀⠀⠀⠀⠀⠀⣱⣦⣈⡻⡛⠒⢴⠉⠉⠑⢤⠤⡖⠊⢁⡿⠟⣏⡴⠁
⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⡿⠈⠉⠀⠘⡄⠀⠀⢠⣠⠁⢀⠎
⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⠃⠀⠀⠀⠀⣷⣠⣶⣿⠗⠔⠋
⠀⠀⠀⠀⠀⠘⠛⠛⠛⠃⠀⠀⠀⠀⠀⠛⠛⠛⠃