⣀⣤⠤⠶⠶⠶⠶⠶⠶⢶⠶⠶⠦⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⡤⣤⠶⠴⠶⠶⠶⣶⠶⠶⢤⣤⣀⡀
⣴⡏⠡⢒⡸⠋⠀⠐⣾⠉⠉⠭⢄⣠⢤⡷⠷⢾⣛⣿⠷⣶⣤⣄⡀⠀⠀⠐⢿⣟⢲⡁⠐⣾⠛⠃⠀⠀⢀⣠⡤⠶⠒⣛⣩⠝⢋⣠⣰⣂⣤⠴⠏⠉⠓⢺⡿⢁⣴⣮⢽⡟
⠙⠶⣞⣥⡴⠚⣩⣦⠨⣷⠋⠠⠤⠶⢲⡺⠢⣤⡼⠿⠛⠛⣻⣿⣿⠿⢶⣤⣿⣯⡾⠗⠾⣇⣙⣤⡶⢿⣯⡕⢖⣺⠋⣭⣤⣤⢤⡶⠖⠮⢷⡄⠛⠂⣠⣽⡟⢷⣬⡿⠋⠁
⠀⠀⠀⠈⠒⢿⣁⡴⠟⣊⣇⠠⣴⠞⣉⣤⣷⣤⠶⠿⢛⢛⠩⠌⠚⢁⣴⣿⠏⠀⣴⠀⢀⣦⠻⠻⣑⠢⢕⡋⢿⡿⣿⣷⢮⣤⣷⣬⣿⠷⠈⢁⣤⣾⡿⣽⡮⠋⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠈⠛⠷⣾⣋⣤⡾⠛⣁⡡⢤⡾⢤⡖⠋⠉⠀⠀⠀⠀⠀⢰⣿⡷⠺⠛⠐⡿⠃⠦⠤⠈⠉⠢⠄⠈⠁⠙⢿⣮⣿⢤⣶⣁⣀⣛⣿⣷⠼⠚⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠙⠇⠀⣩⡥⠞⢗⣼⣧⠀⠀⠀⠀⠀⠀⠀⢈⣿⡇⢄⡤⠤⣧⠄⢀⡀⠀⠀⠀⠀⠀⠀⠀⢘⣿⡟⠺⣯⣽⡉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠇⣊⣭⢿⡛⠁⡅⠀⠀⠀⠀⠀⠀⠈⢻⡇⢘⣡⣀⡀⣏⠀⠃⠀⠀⠀⠀⠀⠀⠀⣸⡏⠈⢦⣶⣿⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣥⡔⣫⠔⡀⡰⠀⠀⠀⠀⠀⠀⠀⢺⡇⠈⢰⠀⢹⠇⠀⡘⡄⠀⠀⠀⠀⠀⢠⣿⣄⢠⣾⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠷⠺⠘⠛⠛⠓⢂⠀⠀⠀⠀⠸⣧⠀⢺⠀⠊⠀⠰⠇⠘⢄⡀⠀⠰⠶⡛⠓⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣆⠛⠒⠁⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀