⠀⠀⠀⠀⢔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠐⢾⣿⣿⣶⣦⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣀⣴⣶⣾⣷⠀⠀⠀
⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣷⣶⣄⡀⠀⡀⡀⠀⠀⠀⠀⢀⣀⣠⣤⣄⣠⣄⣀⡀⠐⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀
⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣶⣦⣴⣾⣿⣿⣿⣯⣯⣴⣭⣭⣉⢻⣥⣰⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⡟⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡔⢆⠉⡹⣻⣛⡿⠟⠉⠀⠁⠀⠀⠉⠋⠉⠁⢀⠙⠿⢷⣮⣿⣿⡻⢟⡏⢵⣞⣼⣿⣿⣿⢃⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⢹⣿⣿⣿⡢⠵⣉⣼⡿⠐⠀⠈⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠐⠈⠹⢿⣿⣦⠻⠾⢎⣾⣿⣿⠇⠀⠀⠠⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⢂⣶⡿⠫⠐⣠⣀⡀⣀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢀⠹⣿⣷⣈⠙⣿⣿⠏⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠊⢯⣠⣿⡏⣀⣴⠿⠛⠙⠛⣿⣧⣀⠀⠀⠀⠀⠀⠂⣢⣶⠿⠿⣷⣆⢰⠿⣿⣧⠀⠈⠛⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⢀⣿⡟⠁⢸⡟⣋⣷⣿⣿⣿⣦⠙⣿⠀⠀⠀⠀⢢⣿⣿⣿⣿⣿⣯⢻⣧⠀⠉⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠂⢼⢼⣿⢇⠨⣿⠇⢺⣿⣿⣿⣿⣿⡇⢻⣇⡡⢁⣰⡿⣻⣿⣿⣿⣿⣿⡗⢿⡇⠀⠘⣿⣶⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠘⢸⣸⣯⠁⠈⢿⣇⠈⢿⣿⣿⣿⠟⢀⣾⣧⠀⠐⢿⣇⠘⣿⣿⣿⣿⣿⣣⣿⠃⠀⠀⢹⣿⣠⠂⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢐⢸⡿⠃⠂⠀⠌⠻⣷⣬⣉⠛⣁⣠⣿⡟⠁⠀⠀⠘⢿⣧⣭⣙⣛⣩⣽⡿⠋⠀⠀⠀⠈⢿⣿⡇⠀⠀⠀⠀⠀⠀
⠄⠀⡀⠀⠀⠀⠄⣸⡷⡀⠀⠀⠀⠀⠊⠙⠛⠋⠛⠋⠁⠀⠀⠁⠈⠀⠀⠀⠙⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠼⣿⡆⠀⠀⠀⠄⠀⠈
⠆⠰⠷⣶⢷⣶⣶⣼⣿⣀⣀⣀⠀⠁⠀⠀⠀⡀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣠⣿⣧⣶⣶⠶⠶⠷⠷
⡀⠀⠑⠄⠡⠀⢀⢹⣿⢉⠛⢛⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡐⣠⣴⣦⠀⠐⠫⠛⠋⠉⢹⡯⠀⠀⠀⠡⠀⠀
⠀⠀⠳⠻⠿⡿⠿⢿⣿⡷⠾⠿⠃⠀⡆⡌⠺⡿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⡿⠿⠛⠉⠁⠀⠈⢄⠺⠿⠻⢿⡿⠿⠻⠟⠛⠛⠁
⠀⠀⠀⠄⠀⢀⢀⣸⣿⣧⣶⣶⢾⠖⠀⠀⠀⠠⠀⠁⠀⠀⠀⠀⠠⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠷⣶⣦⣼⣇⣀⡀⢀⢀⠀⠀
⠁⠀⢣⣴⣶⣾⠿⠟⢻⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⢹⣟⠻⠻⢿⣶⣰⠀
⠀⠀⠈⠀⠀⠀⠀⠀⠌⣻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⣿⡿⠀⠀⠀⠀⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣼⡿⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣎⠿⢷⣤⣀⠂⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⣲⣿⠓⠁⠈⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠀⠈⠉⠻⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠃⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀😼😻😻😻😻/ᐠ. 。.ᐟ\ᵐᵉᵒʷˎˊ˗/ᐠ. 。.ᐟ\ᵐᵉᵒʷˎˊ˗/ᐠ. 。.ᐟ\ᵐᵉᵒʷˎˊ˗(,,>﹏<,,)