⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠯⠭⠭⠭⢍⣀⣀⣐⣒⣒⣒⣒⣒⣒⡢⢤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠱⣽⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⢤⣠⠤⠤⠤⠤⠤⠤⠄⢀⣀⣀⣀⣀⣀⣀⣀⡴⡻⠂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⢫⡽⡭⠭⠭⠍⣉⣀⣀⣒⣒⣒⣒⣓⣒⠒⠒⠒⠾⠷⡊⠀⠀⠀ ⠀⠀⢀⣀⣀⣀⡤⣤⣴⠖⠚⠉⠁⢸⢱⠧⠤⠀⠀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠉⠉⠉⢱⢹⠀⠀⠀ ⢠⠞⠉⠀⠀⠀⡞⠇⠈⠉⠒⠤⠴⠃⣏⣾⡗⢒⡶⢒⣒⡂⠤⠤⠤⠤⠤⠬⠭⠭⠭⢭⣵⣋⣀⡀⠀ ⡗⠀⠀⠀⠀⡰⢅⣶⣏⠉⠑⢢⠀⠀⠙⣿⡟⡱⠊⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠑⠒⠒⠒⠒⢲⠃⠀ ⢸⡄⠀⠀⠀⢇⢸⣾⣿⡆⠀⠀⢣⡔⠋⠑⡇⣇⠀⠀⠀⣦⡤⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀ ⠀⠱⡀⠀⠀⠘⡎⠿⠛⠑⠀⠒⠚⢳⣀⢘⡷⣌⠢⠤⢤⣿⡟⣻⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⢣⠀⠀⠀⠘⠤⠀⠠⠀⠀⠔⠃⠀⠘⠛⠛⠋⠛⠋⠩⢱⣿⠒⠒⠒⠒⠶⠦⠤⠤⠬⠭⢭⡂⠀ ⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⢿⠉⠈⠉⠉⠉⠉⠉⠉⠉⠉⠒⢌⢢ ⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣎⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⡸⢸ ⠀⠀⠀⠀⠘⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣡⠒⠒⠒⠀⠀⠉⠭⠭⠭⠭⠭⠭⠭⠩⠔⠁ ⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⡖⠤⠤⣀⠀⠠⠤⠒⠊⢁⣴⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢄⣴⣾⠀⠀⠀⠀⠀⢯⣻⡫⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣍⢀⡃⣘⢀⡅⡠⢀⠀⡀⡅⢸⠁⠋⠀⠁⢸⢀⠄⡠⢄⢨⡀⡍⢈⡁⣨⠀⡄ ⡧⢨⡅⢬⠠⡇⠔⠠⠀⠄⠂⢈⠠⣤⠠⡄⠀⣁⠂⠔⠠⠰⠄⡧⢨⡅⣽⠠⡇ ⡗⠰⠆⠲⠐⠃⣀⠀⠐⠀⡑⢸⠂⡖⡰⠊⠀⠀⠉⢪⠐⢈⠂⡗⠰⠆⢾⠐⡇ ⡏⢘⡃⠏⠠⡎⠡⠀⠀⣀⡄⠸⠤⠛⠀⠀⠀⢀⣀⠀⢆⠂⠀⡇⢘⡃⢻⠈⡇ ⣇⢨⡅⠀⠗⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠰⣧⡄⠈⢎⠆⠀⢇⢨⡅⣽⠀⡇ ⡧⠰⠆⠀⡄⠀⠀⠀⠀⢀⣔⠒⠂⢄⠀⠀⠘⣿⣷⢀⡨⠘⡀⠀⠰⠄⢾⠠⡇ ⡗⢘⣋⠀⠑⠀⠂⢄⠀⣶⣿⣧⠀⠀⢆⠠⠐⠋⠕⠁⠀⠀⠰⠔⢘⡂⢻⠐⡇ ⣏⢨⠃⠀⠀⠀⠀⠈⣥⠩⠿⠛⠒⠒⠘⠳⡠⢆⡁⠀⠀⠀⠀⠩⣨⡁⣹⢈⡇ ⡧⠰⢇⢀⠀⠀⠀⠀⠘⠂⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠑⠄⢾⠠⡇ ⡗⢘⡃⢂⠀⠀⠀⢀⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⠐⡇ ⣏⢨⡅⣩⣁⣦⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠅⡇ ⡧⠴⠦⠴⢤⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⡯⠽⠤⢾⠤⡇ ⡗⢚⡓⢺⠃⠀⠀⠀⠀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⢺⣒⡗⢚⠒⢺⠒⡇ ⣏⣨⣅⣩⣀⡄⣀⣒⣈⡁⣋⢸⣐⡂⢠⡄⣰⢒⡊⣘⣯⣿⣿⢏⣨⡁⣹⢈⡇ ⡧⠴⠦⠴⠠⡧⢬⠤⢤⠄⠥⠼⠝⠯⠕⠧⠼⠤⠥⠬⠯⠥⠯⠧⢴⠤⠾⠠⡇ ⡗⢚⡓⢚⠒⡗⠲⠒⠂⠀⠄⢰⠀⡀⠀⡀⢀⠀⠆⠠⠀⠠⠀⡄⢘⠒⢺⠒⡇
