⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠤⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣚⣥⣤⠀⠀⢀⡷⠔⠒⠒⠲⠦⡀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⢎⣾⣿⠟⠁⡠⠖⣡⣶⣶⣶⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⡔⣱⣿⠟⠁⡠⠊⣠⣾⣿⡿⠟⠁⠀⢀⠌
⠀⠀⠀⠀⢀⠔⠉⠀⠀⠀⠀⠉⠀⠘⠛⠛⠁⠀⣀⠤⠚⠁
⠀⠀⠀⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⠁
⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱
⠀⣰⠁⠀⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹
⢰⠃⠀⠀⠛⠁⠐⠂⠀⣿⡗⠀⠀⠀⠀⠀⠀⠀⢹
⠈⢧⣠⣾⣷⣦⣠⣶⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⡇
⠒⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⡰
⠀⠀⠈⢿⣿⣿⣿⣿⣯⡉⠉⠉⠒⠲⢤⡔⠁
⢀⠔⠁⠈⠻⣿⣿⡿⡋⠉⠓⠦⡄⠀⠀⠉⢫⠉⡆
⠀⠀⠀⠀⠀⡐⠀⠀⠀⠈⢢⠤⠤⠜⠀⠀⠀⠀⡗⠁
⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⢇⠀⡖⠒⠒⠤⣀⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⢶⣦⡀
⠀⠀⠀⣴⡿⠟⠷⠆⣠⠋⠀⠀⠀⢸⣿
⠀⠀⠀⣿⡄⠀⠀⠀⠈⠀⠀⠀⠀⣾⡿
⠀⠀⠀⠹⣿⣦⡀⠀⠀⠀⠀⢀⣾⣿
⠀⠀⠀⠀⠈⠻⣿⣷⣦⣀⣠⣾⡿
⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⡿⠟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⢠⠏⡆⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣀⡀
⠀⠀⠀⠀⠀⡟⢦⡀⠇⠀⠀⣀⠞⠀⠀⠘⡀⢀⡠⠚⣉⠤⠂⠀⠀⠀⠈⠙⢦⡀
⠀⠀⠀⠀⠀⡇⠀⠉⠒⠊⠁⠀⠀⠀⠀⠀⠘⢧⠔⣉⠤⠒⠒⠉⠉⠀⠀⠀⠀⠹⣆
⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⣤⠶⠶⢶⡄⠀⠀⠀⠀⢹⡆
⠀⣀⠤⠒⠒⢺⠒⠀⠀⠀⠀⠀⠀⠀⠀⠤⠊⠀⢸⠀⡿⠀⡀⠀⣀⡟⠀⠀⠀⠀⢸⡇
⠈⠀⠀⣠⠴⠚⢯⡀⠐⠒⠚⠉⠀⢶⠂⠀⣀⠜⠀⢿⡀⠉⠚⠉⠀⠀⠀⠀⣠⠟
⠀⠠⠊⠀⠀⠀⠀⠙⠂⣴⠒⠒⣲⢔⠉⠉⣹⣞⣉⣈⠿⢦⣀⣀⣀⣠⡴⠟

⣿⣿⠋⠡⢔⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡌⢙⣿⣿
⣿⠃⠄⢰⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠄⠘⣿
⣿⠄⠄⢐⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠄⠄⣿
⡏⠄⠄⠈⠉⠙⠛⢿⣿⣿⣿⣿⣿⣿⡿⠟⠟⠛⠗⠄⠄⣸
⡇⠄⠄⠐⠷⣻⡶⢌⠛⠿⣿⣿⢿⠿⣻⠶⠶⢶⣦⠄⠄⢐
⡇⠄⢰⡆⢤⣦⣄⣧⣬⡦⣼⣷⣤⣈⣬⣄⣠⣅⣢⡗⠄⠸
⡇⠄⠰⢿⣷⣤⣤⣾⣿⡃⣿⣿⡟⣿⣯⣯⣭⣷⢿⠅⠠⣿
⡇⠄⠄⢾⣿⣿⠿⣿⢿⢠⣿⣿⣷⢼⣟⠿⣿⣿⣿⣻⢠⣺
⣿⡇⠄⢈⠉⠱⣿⣿⣄⠈⠻⠻⠋⢠⣿⣷⠌⠙⠛⠁⢸⣿
⣿⣇⠄⢻⣷⣦⣄⠉⢛⡒⠄⠄⢀⣛⠋⣀⣤⣾⡗⡀⣾⣿
⣿⣿⣦⢂⠻⣿⣿⠷⣮⣟⣻⣛⣿⣿⣲⣿⣿⡏⠔⢼⣿⣿
⡿⠿⠛⠁⠁⠙⣿⣥⣈⣉⣉⣋⣉⣨⣼⣿⢟⠌⠄⠄⠈⠉
⠄⠄⠄⠄⠄⠄⠄⠙⣿⣿⣿⣿⣿⣿⠿⠉⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠈⠉⠛⠟⠝⠁⠄⠄⠄⠄⠄⠄⠄⠄