⣣⣿⣆⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣯ ⠣⡘⢿⣔⢀⣴⠶⠿⠟⠛⠻⠛⠳⠶⣄⡀⠀⠀⠀⣘⣿⡿ ⠀⠈⣹⣿⣿⣿⣿⣶⣖⠶⢶⣤⡀⠀⠈⢿⣆⢴⣶⢯⡛⠀ ⢀⣴⣿⠋⠩⣿⣅⠄⠈⠉⠛⠿⢿⣷⡀⣤⡛⣿⡋⠈⠁⠀ ⡾⠉⡏⠀⠀⠉⣟⣳⠈⠀⠀⠀⠀⠨⡹⣿⡾⠝⣷⡀⠀⠀ ⣷⢰⠃⠀⠀⠀⠁⡷⢧⡨⣠⠠⣀⢎⡷⡿⢿⡀⢸⡇⠀⠀ ⢻⡜⡤⠀⢀⣀⣤⣾⣷⣏⣴⣾⣿⣿⣛⠚⠀⣧⢸⣇⠀⠀ ⢈⣧⣧⠀⢩⠞⠿⠿⠻⢉⣽⣿⡟⠛⠛⠓⠀⣿⣻⠿⣷⠀ ⢸⡵⣿⠀⠀⠀⠀⠂⣠⢯⡩⠻⡳⠄⠀⠀⠀⠀⢻⣇⡟⠀ ⠘⢧⣿⡀⠀⡀⣠⣴⣷⣭⣥⣾⣗⣺⡆⠀⠀⠀⠜⣽⠁⠀ ⠀⠈⢿⣧⠀⣴⢟⣕⣿⣿⣿⣿⣿⣔⡽⣦⣄⢠⡟⠁⠀⠀ ⠀⠀⠀⣸⣯⡳⢇⠱⠋⠉⠙⠂⠀⠉⠌⠿⣸⣼⡅⠀⠀⠀ ⠀⠀⣴⢷⢿⣷⡀⠀⠀⠀⠉⠉⠁⠀⠀⠨⣻⣿⣿⣤⡀⠀ ⢀⡾⡳⢻⠢⢹⡷⢦⣄⣀⣀⣀⣀⣤⣴⡾⠓⠙⣿⡿⡙⢶ ⣟⣷⠝⡸⠀⢨⡷⣤⡀⠈⠉⠉⢁⡴⠋⠀⠀⠀⣸⠿⣟⣦

⢿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢶ ⠁⠈⣿⣷⣧⣄⡀⠀⠀⠀⠀⠀⠀⠠⠐⠹⠀⠀⠸⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⣊⣶⡿ ⠀⠀⠀⠳⠿⣿⡴⣀⠀⠀⠀⠀⢰⠏⡇⠎⠁⠪⠈⠀⠀⠀⠀⠀⠀⠀⠀⣐⣂⣾⡿⠇⠡ ⠀⠀⠀⠀⠈⢿⣷⣗⣅⣤⠾⠐⢲⠤⠠⡐⠀⠀⠀⠀⠀⠀⣠⣶⣀⠐⣬⣿⡛⠋⠄⠈⠀ ⠀⠀⠀⠀⠀⠀⠡⣯⡿⣿⡡⢀⢪⣐⠒⠀⠀⠀⠀⠀⢀⣼⣟⢝⣿⣿⡟⠋⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣧⣯⢯⣵⡳⢢⡀⠀⠀⠀⢀⣴⢷⣺⣷⣟⣽⡺⠳⢀⡀⠀⠀⠀⠀ ⠀⠀⠀⢀⠀⠀⠀⠀⠈⠽⣿⠷⣏⣭⠸⣵⣀⣰⢿⣬⣹⢷⣳⡏⣻⡼⡵⠸⣒⠀⠀⠀⠀ ⠀⢀⡄⠝⠠⡀⠀⠀⠀⠀⠈⢻⣞⣿⣽⡺⣏⢾⣻⣿⠗⠁⠊⠀⠙⢬⠄⠴⠕⠨⠀⠀⠀ ⢴⣿⠁⢠⠂⢂⠀⠀⠀⠀⠀⠀⠙⢟⣞⣻⣭⡿⢋⣒⢑⠂⡀⠀⠀⠀⠀⠀⠄⢐⣨⣂⢀ ⠀⠁⠖⢌⠻⠓⢏⡆⡀⠀⠀⢠⢷⣐⣿⣿⣯⢟⣧⢔⠴⠲⠐⠀⠀⠀⠀⠀⠀⢀⣰⠙⠀ ⠀⠀⠀⠐⠐⡈⡱⠄⠰⣦⣾⣩⣸⡯⣿⠾⠫⣛⢿⢧⣣⢶⠬⢜⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢭⢴⡆⠔⣽⡖⠟⠭⠈⠀⠀⠑⢋⠻⢯⢞⣦⣊⣸⣡⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡠⡈⡙⣾⣾⡻⢜⠁⠀⠀⠀⠀⠀⠠⠿⢗⠿⣿⣖⣵⡓⠅⡁⢀⠀⠀⠀⠀ ⠀⠀⠀⣀⢬⣩⣾⣿⡿⠛⠊⠀⠀⠀⠀⠀⢀⢴⢟⠲⡸⣿⣿⣿⢛⡥⡃⠄⠂⠀⠄⠀⠀ ⠀⠀⠀⣴⣿⡯⣟⠟⠃⠀⠀⠀⠀⠀⢀⢐⣾⠰⠓⢱⠠⠈⠐⠩⠛⣜⡜⣪⡅⣅⠄⠊⣀ ⠀⢄⣿⡿⣯⡛⠁⠀⠀⠀⠀⠀⠀⠀⡜⢠⠋⢒⢓⡃⠉⠀⠀⠀⠂⠁⡛⠯⣷⣮⠣⣥⡀ ⡾⣷⣷⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢙⠐⠀⠀⠀⠀⠀⠀⠀⠈⠀⢒⣛⣿⣗⣞⡿