⠀⣀⡠⡔⠎⠓⢤⡄⡀⠀⠀⢀⣠⠔⠎⠱⢢⢄⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣠⠴⠋⣡⠴⠛⠉⠙⠶⣌⡳⡆⢰⣚⡴⠞⠉⡉⠓⠮⣌⠓⠦⡄⠀⠀⠀
⠀⣠⠞⡁⠒⠉⠄⠂⢄⡡⣌⢠⠈⡙⢽⠷⠉⢁⡄⣡⡄⣁⠂⠌⠙⢂⠉⢷⣀⠀
⢰⠁⢂⠐⡈⠐⣈⡴⠋⠉⠈⠉⢳⡀⢸⡇⢨⠞⠉⠁⠈⠓⢬⡀⢁⠂⠌⡀⢉⠆
⢸⡈⢄⠂⠄⠡⣾⠁⠀⠀⠀⠀⠀⠑⠾⠳⠎⠀⠀⠀⠀⠀⠈⡷⠀⠌⡐⢠⠃⠆
⢸⢌⠢⣁⠊⠄⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠿⠀⢒⠈⢆⡌⠃
⢸⡌⠲⢄⠣⡈⠌⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠃⡈⢆⠩⢆⡜⡁
⢸⡜⡱⢊⠴⡁⢆⠠⢉⠳⢤⡀⠀⠀⠀⠀⠀⠀⣀⠴⢊⠡⠀⢆⠱⣈⠇⡎⡴⡁
⢸⡜⡳⣭⢖⣡⢎⣐⣂⣄⠂⡉⠱⢦⣀⣀⡶⠋⢁⠂⣄⣂⣍⢦⡱⣬⢞⡼⣱⠁
⢸⣼⠋⠁⠀⠀⠀⠀⠉⠈⠛⠳⢆⣄⡻⣞⢠⡴⠞⠛⠉⠉⠀⠀⠀⠀⠉⠳⣇

⣿⡇⠀⣿⣿⠀⢠⣿⣿⡆⠀⢻⣷⠀⣿⡏⢸⣿⠿⠇⠀⠀⠀⢰⣿⣿⡀⠀⠀⠀⠀⠀ ⢠⣶⣦⠀⠀⠀⠀⠀⢿⣦⣿⡄⠀⠀⠀
⣿⡿⠿⣿⣿⠀⣼⣏⣸⣷⠀⠘⣿⣴⡿⠀⢸⣿⠿⠇⠀⠀⢀⣿⣇⣿⣇⠀⠀⠀⠀⠀⠸⣿⣿⣾⣿⠀    ⠀⠟⠉⠀⠀⢾⣧⣼⡷⠀
⠿⠇⠀⣿⣿⠰⠿⠋⠉⠿⠆⠀⠹⠿⠃⠀⠸⠿⠿⠗⠀⠀⠸⠿⠉⠙⠿⠄⠀⠀⠀   ⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀ ⠀⠀ ⠀⠙⠋
⣿⣷⡀⢸⣿⠀⣿⡇⢀⣶⡿⠿⠆⢸⣿⠿⠇⠀⠀⢻⣷⠀⣾⣿⣷⠀⣾⡟⢸⣿⠿⠇⢸⣿⠿⠇ ⣿⡇⣴⠿⢸⣿⠿⠇ ⣿⣷⡀⢸⣿ ⣿⠿⠻⣶⡀
⣿⡟⢿⣾⣿⠀⣿⡇⢸⣿⡀⠀⠀ ⢸⣿⠿⠇⠀⠀⠘⣿⣴⡿⠘⣿⣴⡿ ⢸⣿⠿⠇⢸⣿⠿⠇ ⣿⡷⡇ ⠀⢸⣿⠿⠇ ⣿⡟⢿⣾⣿ ⣿⠄⠄⣿⢸
⠿⠇⠈⠻⠿⠀⠿⠇⠈⠻⠿⠿⠇⠸⠿⠶⠆⠀⠀⠀⠈⠿⠃⠀⠘⠿⠁  ⠸⠿⠿⠗⠸⠿⠿⠗ ⠿⠇⠻⠿⠸⠿⠿⠗ ⠿⠇⠈⠻⠿ ⠿⠿⠿⠟⠁

⣿⡇⠀⣿⣿⠀⢠⣿⣿⡆⠀⢻⣷⠀⣿⡏⢸⣿⠿⠇⠀⠀⠀⢰⣿⣿⡀⠀⠀⠀⠀⠀ ⢠⣶⣦⠀⠀⠀⠀⠀⢿⣦⣿⡄⠀⠀⠀
⣿⡿⠿⣿⣿⠀⣼⣏⣸⣷⠀⠘⣿⣴⡿⠀⢸⣿⠿⠇⠀⠀⢀⣿⣇⣿⣇⠀⠀⠀⠀⠀⠸⣿⣿⣾⣿⠀    ⠀⠟⠉⠀⠀⢾⣧⣼⡷⠀
⠿⠇⠀⣿⣿⠰⠿⠋⠉⠿⠆⠀⠹⠿⠃⠀⠸⠿⠿⠗⠀⠀⠸⠿⠉⠙⠿⠄⠀⠀⠀   ⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀ ⠀⠀ ⠀⠙⠋
⣿⣷⡀⢸⣿⠀⣿⡇⢀⣶⡿⠿⠆⢸⣿⠿⠇⠀⠀⢻⣷⠀⣾⣿⣷⠀⣾⡟⢸⣿⠿⠇⢸⣿⠿⠇ ⣿⡇⣴⠿⢸⣿⠿⠇ ⣿⣷⡀⢸⣿ ⣿⠿⠻⣶⡀
⣿⡟⢿⣾⣿⠀⣿⡇⢸⣿⡀⠀⠀ ⢸⣿⠿⠇⠀⠀⠘⣿⣴⡿⠘⣿⣴⡿ ⢸⣿⠿⠇⢸⣿⠿⠇ ⣿⡷⡇ ⠀⢸⣿⠿⠇ ⣿⡟⢿⣾⣿ ⣿⠄⠄⣿⢸
⠿⠇⠈⠻⠿⠀⠿⠇⠈⠻⠿⠿⠇⠸⠿⠶⠆⠀⠀⠀⠈⠿⠃⠀⠘⠿⠁  ⠸⠿⠿⠗⠸⠿⠿⠗ ⠿⠇⠻⠿⠸⠿⠿⠗ ⠿⠇⠈⠻⠿ ⠿⠿⠿⠟⠁

⣿⡇⠀⣿⣿⠀⢠⣿⣿⡆⠀⢻⣷⠀⣿⡏⢸⣿⠿⠇⠀⠀⠀⢰⣿⣿⡀⠀⠀⠀⠀⠀ ⢠⣶⣦⠀⠀⠀⠀⠀⢿⣦⣿⡄⠀⠀⠀
⣿⡿⠿⣿⣿⠀⣼⣏⣸⣷⠀⠘⣿⣴⡿⠀⢸⣿⠿⠇⠀⠀⢀⣿⣇⣿⣇⠀⠀⠀⠀⠀⠸⣿⣿⣾⣿⠀    ⠀⠟⠉⠀⠀⢾⣧⣼⡷⠀
⠿⠇⠀⣿⣿⠰⠿⠋⠉⠿⠆⠀⠹⠿⠃⠀⠸⠿⠿⠗⠀⠀⠸⠿⠉⠙⠿⠄⠀⠀⠀   ⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀ ⠀⠀ ⠀⠙⠋
⣿⣷⡀⢸⣿⠀⣿⡇⢀⣶⡿⠿⠆⢸⣿⠿⠇⠀⠀⢻⣷⠀⣾⣿⣷⠀⣾⡟⢸⣿⠿⠇⢸⣿⠿⠇ ⣿⡇⣴⠿⢸⣿⠿⠇ ⣿⣷⡀⢸⣿ ⣿⠿⠻⣶⡀
⣿⡟⢿⣾⣿⠀⣿⡇⢸⣿⡀⠀⠀ ⢸⣿⠿⠇⠀⠀⠘⣿⣴⡿⠘⣿⣴⡿ ⢸⣿⠿⠇⢸⣿⠿⠇ ⣿⡷⡇ ⠀⢸⣿⠿⠇ ⣿⡟⢿⣾⣿ ⣿⠄⠄⣿⢸
⠿⠇⠈⠻⠿⠀⠿⠇⠈⠻⠿⠿⠇⠸⠿⠶⠆⠀⠀⠀⠈⠿⠃⠀⠘⠿⠁  ⠸⠿⠿⠗⠸⠿⠿⠗ ⠿⠇⠻⠿⠸⠿⠿⠗ ⠿⠇⠈⠻⠿ ⠿⠿⠿⠟⠁

⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀:⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀