⠀⠀⠚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀
⠀⠀⠀⠘⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⠟⠛⠋⠉⠉⠉⠙⣿⣿⣿⣿⣶⣀⠀
⠶⠿⢰⣿⣶⣦⠀⠀⢸⣿⣿⣦⡄⠀⢀⣴⣾⣿⣿⣿⡿⠿⣿⣿⣿
⠀⠀⠀⠻⠿⠃⠀⠀⠀⣿⣿⣿⣧⠀⠀⠉⣉⣉⣩⣥⡶⠀⠀⠀⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⠀⠀⣻⣿⣿⣿⠃⠀⠀⢠⣿⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⣴⣿⣿⣿⠟⠃⡀⠀⢠⣿⠟⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣄⠀⣤⣤⣤⢰⣿⡦⣿⠀⣿⣿⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠀⠛⠛⠋⠈⠉⠀⠀⢀⣿⣿⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢴⡆⣤⣤⣄⡄⢀⣀⣀⢀⣀⢀⡄⠀⢨⣿⣿⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠘⠃⣿⣿⣿⠇⣿⣿⡋⣿⠏⠛⣃⣤⣾⣿⣿⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣄⣠⣤⣠⣴⣶⣾⣿⣿⣿⣿⣿⣿⡀⠀

⠄⠄⠄⠄⡀⡀⠄⠄⡀⠄⡀⠄⠄⠄⠄
⠄⠠⠂⠁⢂⠨⠡⡑⢀⠈⠄⠄⠄⠄⠄⠄⠄
⠑⠁⠂⠪⢈⢆⢧⡺⡜⡜⡌⡆⢆⠆⡆⣣⡣⡀
⡡⠨⠐⡐⡰⡑⡧⣫⡺⡱⡱⢘⠔⡑⢌⠎⣞⣵⠄
⠄⢂⠅⢬⡸⡮⣫⢧⠫⢊⠊⡂⠣⠊⢜⢪⢪⢺⣷
⠌⠄⢪⣺⢽⡹⣜⢔⠜⠔⠐⠄⢀⢈⠈⢔⢸⠱⠿⡀
⡮⢂⡳⡽⡵⡝⡎⡆⡊⠊⠄⢀⠄⠰⡽⡌⡇⠄⠄⣆
⢽⢈⢸⢹⡪⡯⡺⣪⠪⠌⡂⠄⢂⢽⣺⢪⢢⠂⢦⠌
⣽⢐⠘⢜⢎⠮⡫⢸⢘⠌⠄⠂⡢⡳⠭⢧⠣⡮⣪⡆
⠣⢂⡳⡑⠜⢈⠄⡳⠁⠄⡀⠡⢀⠐⢈⢘⡎⠅⡺⡇
⠈⡆⡅⠅⡃⠠⠄⢌⠂⠄⡈⠮⡢⢕⣐⣠⢳⠡⡻
⢊⢸⢱⠁⡂⢀⠄⠠⠁⠄⠈⠡⠒⠅⢕⣻⣦⢀⠅
⡤⡈⠂⢁⠐⠄⠄⠰⠄⠄⠈⠄⢈⠠⠠⢨⢆⢢⠁
⣞⣗⢧⡢⡀⡁⠄⢈⠂⠅⢀⠠⠄⠄⠄⡁⠂⣝
⣗⢗⢇⢯⢺⢨⢢⠄⠂⠅⠅⢀⠄⠂⠄⠔⢱⢹
⣞⡝⣎⢧⢳⡹⡼⡸⡐⠠⠐⢀⠈⠄⠁⢄⠣⠁

⠀⠀⣀⡀
⢸⡏⠁⠈⠉⠙⠓⠶⢦⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠈⢿⡀⢠⣄⠀⠀⠀⠀⠀⠈⠉⠛⠶⢦⣄⣀⠀
⠀⠀⠻⣮⡙⠁⠀⠀⠺⣷⡄⠀⠀⠀⠀⠈⠉⠛⠶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠈⠙⠲⣤⣀⠀⠀⠀⠀⠀⣰⡇⣤⠀⠀⠀⠀⠉⠛⠶⣤⣄⡀⠀
⠀⠀⠀⠀⠀⠀⠹⣎⡉⠀⠀⠀⢀⡿⢿⡟⠀⢀⣀⣤⣀⡀⠀⠀⠉⠛⠷⣦⣄
⠀⠀⠀⠀⠀⠀⠀⠀⢽⣿⡶⠶⠎⠁⠺⢡⠞⠉⠀⠀⠀⠙⡖⡆⠀⠀⠀⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠚⠻⣟⠛⣂⡤⢤⣟⠀⠀⢀⣀⣀⡼⠷⡧⢾
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡞⠁⠀⠀⠈⣦⡠⠼⠿⠋⢀⡼⠃⣼
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⢀⣤⣀⣠⠟⢲⠿⠗⠚⠉⠀⣰⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣗⣒⡛⠋⠁⣠⠞⠀⠀⠀⣠⣾⣿⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣫⠉⣁⣠⣤⣶⣿⣿⠿⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠾⠋⠸⡏⠙⠛⠛⠛⠛⠩⠤⠴⠞
⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⠁⠀ ⠀⣧