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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⡄⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡫⣟⣽⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡭⣳⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⢀⣪⣾⣯⠆⠀⠀⠀⠀⠀⠀⠀⠀⡠⣒⣒⣒⣪⢟⠪⢮⣖⣒⣒⣒⢄⠀⠀⠀⢀⣖⣖⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣺⢐⣭⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⢇⣿⣿⣿⢃⢀⠤⣀⠀⠀⠀⢀⣪⢟⢺⢲⠒⠚⠀⡔⡷⣆⢶⢲⠓⡻⣕⡀⢠⣵⣿⣇⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣏⡿⣸⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⡇⡟⠕⢠⣼⡿⣿⡇⠀⠀⠁⠗⠀⢸⢸⠀⠀⠀⠆⣮⠿⣽⠪⠀⠀⠺⠀⠀⢝⡞⣮⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⡇⡇⠀⠈⢯⣿⡕⠀⢰⣒⣀⢀⢱⣛⣮⡦⠀⠀⠀⢸⣿⠉⠀⢔⡷⠶⠶⠷⠯⠁⠑⣻⠷⠶⠶⡶⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⡇⡇⠀⠀⠀⣿⡇⢸⣿⣷⣻⣾⢛⣺⣽⣿⡸⠀⠀⢸⣿⠀⠱⡫⠁⡰⣾⡴⣿⡇⡠⣾⡜⣽⡸⠀⠟⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⢄⢷⢣⣭⠄⠀⣿⡇⡈⣹⣿⣷⣷⢑⣷⣿⣾⡸⠀⠀⢸⣿⠀⠀⠀⠀⠀⢺⣯⡍⠁⠀⢚⣛⡭⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⡸⣽⢼⡿⠇⠀⣿⡇⡜⣟⣏⡿⣿⣿⢑⣾⣷⣷⡇⡤⣼⣿⣄⠀⠀⠀⠀⢸⣿⡇⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣒⢤⠀⠀⠀⡠⣵⣿⣿⣿⣶⡶⠶⣶⣕⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠉⠈⠁⠀⢀⣿⡇⠀⠓⢞⣯⣿⣯⣾⣿⣿⡫⣵⢟⣯⣵⢿⢣⠀⠀⠀⢸⣿⡇⠀⠀⢸⣿⡇⠀⠀⢆⢶⣔⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡸⣾⣿⣮⣭⣲⢇⣿⣿⢟⡿⣷⣵⣦⣿⣿⣝⣮⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠐⢾⡮⣿⢔⠀⠀⠉⠒⠒⠒⠒⢫⣼⢢⢫⢣⢿⣸⢸⣒⡦⡀⢸⣿⡇⠀⠀⢸⣿⡇⠀⠀⢞⠿⠹⡼⢜⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣷⣯⣶⣾⣿⣿⣯⢻⣿⣻⣫⣫⣾⠿⡿⣯⡯⣿⣿⣿⣿⣿⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠣⡷⣏⠶⠑⠀⠀⠀⠀⠀⠀⠀⠘⢻⢸⣶⣿⣣⣿⣩⡿⣿⣧⣾⣿⡇⠀⠀⢸⣿⣧⡦⢔⠄⠀⣿⠠⢼⣿⣛⡟⠃⠀⠀⠀⠀⠀⠎⡟⡧⣻⢔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⣿⣿⡿⣻⣿⣾⢾⣏⣿⡾⣿⣿⣾⣿⣟⣯⢇⡗⣏⢿⣿⣷⣽⣾⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣻⠷⣛⡇⡇⣿⣷⣿⡟⣯⣾⣗⢄⠀⢸⣿⡟⡿⢷⡟⠃⣿⠀⠼⢷⢿⠂⠀⠀⠀⠀⠀⠀⠊⠿⣎⠶⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡱⣿⣿⣿⣿⣽⣿⣽⣿⠟⣼⢿⢷⢶⣽⣛⣿⣿⣮⡕⡷⡻⣿⣿⣿⣿⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠽⡿⡿⡫⢹⣿⡿⡏⣿⣇⣸⣿⡯⢹⢹⠁⠀⣿⠀⠀⢸⢸⠀⠀⠀⢀⠤⠤⠤⡤⡵⠭⢮⢤⠤⠤⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠯⢯⣿⣿⡹⣿⠟⣿⣿⢸⣰⢿⣿⣮⣷⡝⣿⣷⢪⣻⣞⣿⣿⣿⢹⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⠀⡸⣿⣟⣴⠋⡾⣻⣷⡢⢸⢸⠀⢔⣿⢄⠀⢸⢸⠀⠀⢔⣞⢯⣭⡭⠭⠁⠀⠁⠭⢭⣭⡯⢷⡢⠀⠀⠀⡀⣒⢴⣢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠪⢿⣽⡟⣾⡟⢏⣣⡷⣍⠾⣻⣿⣾⣎⣿⣿⢚⣿⣿⣿⣿⣯⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⠀⠀⠒⠫⠺⢾⣼⣌⢯⠇⣼⣘⡀⢜⡿⣿⢱⢸⢸⠀⠁⠏⠁⢸⣿⡇⠀⠀⠀⠀⠀⢸⣿⡇⠈⠿⠁⠀⠀⢸⢾⣿⣹⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⣿⢿⣿⣿⣿⣿⣷⣟⡿⣿⣿⣿⣾⣎⣿⣷⣱⣿⠃⣿⢫⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢸⠸⡀⠀⠀⠀⠀⠰⣻⠿⣯⣿⡟⣿⢊⣖⣵⢶⣿⣾⡾⢮⡢⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⣠⣵⢷⡳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⣿⡇⡇⣿⣿⣿⣿⡟⣿⠟⣿⣿⣿⣽⢹⣿⡔⣻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢟⣿⣏⡇⠀⠀⠀⠀⠀⠀⠀⠈⠯⡿⡯⣾⡵⣵⣿⣲⢾⢾⡸⡿⡱⠀⢸⣿⡇⠀⠀⠀⠀⠀⢸⣿⡇⡰⡷⠶⠶⠶⢾⠊⠈⢝⠶⠶⠶⡶⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⡇⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣝⠘⣿⡇⣯⢯⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢝⡫⣻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⡸⣾⠃⣾⢇⡇⡇⢻⣇⡇⣴⣯⣶⡶⢾⡢⠀⠀⠀⢸⣿⡫⡫⠁⡱⣻⢻⢰⠀⠀⢱⣿⢾⣿⡇⠎⠮⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣯⣿⣿⣿⣿⡿⣿⣿⣿⣹⢸⣿⡏⢾⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢱⣿⣾⣯⢁⣼⡰⡿⣹⣵⣿⣕⣿⢷⡏⡿⡜⠀⠀⢸⣿⡇⠀⠀⢘⢾⢸⠘⠀⠀⠪⡟⡞⣛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣟⣷⣹⣿⣟⣮⣛⣿⡾⣻⣿⢯⢾⣕⣿⣳⣡⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠪⢿⣽⣿⣯⢾⢕⡾⣿⣿⠏⡾⠕⠁⢸⣿⣠⡇⢀⢤⣺⣿⣓⣄⠀⠀⢸⢸⠀⠀⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠕⠉⠚⠭⣛⣻⠿⣻⣿⣟⣳⣯⣿⣯⣷⠿⡯⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢌⣧⣷⣻⡻⢿⡵⢡⡿⣻⢸⠀⠀⢇⣿⢹⢃⣾⣟⣕⣟⡗⣿⡣⠀⢸⢸⠀⠀⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⢝⣛⣛⠽⠁⢸⣷⢿⢣⡤⣪⣿⢿⢯⡿⣻⢟⠗⢣⣿⠃⣧⡄⢸⢸⠀⠀⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⣷⣷⢙⡟⢿⣴⡋⣿⣤⢣⠀⠀⡜⣿⠟⡇⢀⢸⢸⠀⠀⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠭⣛⣛⠝⠉⢸⣇⣿⢈⠀⡴⣾⣯⣾⣪⠾⣿⣾⣽⡄⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⣏⣾⢾⣷⣿⢕⡾⣼⢡⢟⢺⣿⣿⡎⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠮⡿⣾⡷⢟⠵⡇⡇⣿⣧⣣⢣⣼⢜⣵⣶⣥⡣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠈⣝⣿⣿⣵⡾⢥⣿⣿⣽⢷⢿⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠭⠒⠁⢸⣿⢾⢟⣾⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢔⣽⣪⣗⡀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢝⠷⢷⣛⡵⣻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢜⣟⣪⣫⡁⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣲⡿⡻⠓⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⠂⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣺⠷⡫⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⡀⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⣀⡀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⣪⢶⠯⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⣿⣯⣻⢸⠀⠀⠀⠀⠀⠀⠀⢀⣗⣷⣿⣿⣰⡀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢤⣺⢾⠽⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣺⢠⠀⠀⠀⠀⠀⠀⠀⠉⡇⠒⠀⠀⠀⠀⠀⠀⠀⠀⢸⠏⢿⢻⡼⣾⣧⡀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣔⣭⣟⠝⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⢻⢪⠀⠀⣄⢀⡀⠀⠀⠀⡇⠀⠀⠀⠀⢴⣽⣶⣮⡢⡸⣇⡷⣷⣿⢹⣿⡇⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢔⣽⣛⠕⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⢀⣱⣿⣾⡇⡀⠀⠀⡇⠀⠀⠀⡎⣿⢹⣟⣟⡹⡝⣹⣮⣟⣿⢾⠕⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣔⡵⣻⠓⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⡶⣮⡄⠀⠀⠀⢸⢸⠀⠈⡏⡇⠅⠀⠀⠀⡇⡤⣽⣶⣗⣿⢱⢷⣸⡇⡇⠀⠑⠫⠚⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣲⡷⡫⠓⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢼⠕⠀⠀⠀⠀⢸⢸⠀⠀⡇⡇⠀⠀⠀⠀⡇⣿⢿⢿⣿⡆⡻⣷⣿⣻⠊⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣺⢾⠯⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢜⣿⢆⠀⣀⠀⠀⠀⠀⠀⠀⠀⡠⣯⡢⠀⠀⢸⠀⠀⠀⠀⠀⢸⢸⠀⠀⡇⡇⠀⠀⠀⠀⡇⡻⣷⣻⣿⢣⠀⠉⢸⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢤⣮⢶⠯⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⡚⠘⢱⣿⢔⠀⢠⣭⣭⡄⠀⡇⣟⡇⠀⠀⢸⠀⠀⠀⠀⡠⢸⢸⠀⠀⡇⡇⠀⠀⢴⣽⣿⢜⢲⣷⡏⠀⠀⠀⢸⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢴⣽⣿⠯⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⠀⠘⡞⠈⠀⢀⣱⡱⠀⠀⢰⣿⡇⠀⠀⢸⠀⢀⣖⣷⣿⢝⡻⣷⣽⢡⣷⢄⠘⣻⡫⠒⠀⢸⣿⡇⠀⠀⠀⢸⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢔⡽⣟⠕⠉⠀⠀⠰⣷⣏⡶⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⠀⡇⡇⠀⠀⠀⢸⠀⠀⠀⢸⣿⡇⠀⠀⢸⢰⣾⣿⣿⡿⣿⣕⠣⣷⣷⣟⠈⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⢸⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣖⣿⣟⠗⠁⠀⠀⠀⠀⠀⠢⠷⣟⠾⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⠀⡇⡇⠀⠀⠀⢸⠀⠀⠀⢸⣿⡇⠀⠀⣸⢨⣿⣾⣷⣧⡻⣿⡜⡎⡿⠇⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⢸⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢶⡻⡓⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⢸⣭⠄⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⡇⡀⡇⡇⠀⠀⠀⢸⠀⠀⠀⢸⣿⡇⢠⣵⣿⣿⡹⣽⡨⣿⢾⣿⣿⢇⡇⠀⠀⠀⠀⡦⠀⢄⣶⢭⢶⠀⠀⡰⡔⣪⢆⠀⡀⡀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠪⡷⣺⣭⡦⣄⠀⠀⠀⠀⠀⠀⢸⣿⡧⢷⣽⡿⡧⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣾⢿⣷⡇⡇⠀⠀⠀⢸⠀⠀⢐⣷⣿⣯⣺⣿⣏⢹⣿⣝⣿⣛⣿⣿⣿⣟⠊⠀⠀⠀⠈⢝⣮⢼⣿⢻⣼⠘⠀⡇⡇⣧⢟⢟⢟⠊⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡻⣿⣿⣿⣯⣖⢤⠤⡀⠀⢸⣿⡇⠈⡇⡇⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⢿⣿⡋⣿⣿⡱⠀⢠⣼⣮⡄⢸⣿⢿⣿⣿⢰⣟⢿⠕⠀⠑⠓⣛⠝⠉⠀⠀⠀⠀⠀⠀⠀⠑⠭⠭⠽⡻⣕⣪⢟⠯⠭⠭⠝⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⡆⢶⢰⠤⠤⠤⠤⠤⠬⠯⡿⣧⢣⣷⣿⣿⣷⡲⣸⣿⡇⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠸⠿⢿⢞⢶⣽⣿⣿⢇⢞⣿⣾⣿⡿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣺⣗⣖⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠇⠸⠸⠭⠭⠭⠭⠭⠭⠭⠭⠯⡷⡷⣿⣿⣿⣿⡎⣿⣇⠀⡇⡇⠀⠀⠀⠀⠀⢀⢴⣮⣽⣶⣶⣭⣢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢝⣿⢻⣷⣷⡦⡙⠯⡫⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣵⣿⡣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡻⡿⣿⣿⣿⡿⣽⣿⣽⠇⡇⠀⠀⢀⢴⣯⣞⣽⣯⣿⣿⣿⣵⣾⠻⡕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠀⡎⡟⣿⡿⣿⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠉⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠪⠲⢼⣾⣿⣿⣣⣷⡗⡴⣷⢟⣞⣻⣿⢟⣭⠯⡿⣿⣿⡾⣽⡜⡀⠀⠀⠀⠀⠀⠀⢀⢤⣭⣟⠅⠀⠇⣯⠟⠃⠓⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣻⢿⣿⡿⣾⣿⣿⣵⢕⣞⢺⣿⣟⣮⣫⡶⣳⣟⣮⡟⣟⡳⣽⡦⡀⢀⢔⣽⣟⠝⠉⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢔⣵⢰⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢜⠿⢫⣿⡿⣿⠫⠁⠀⣿⣮⡫⡪⣿⢿⠫⣽⠾⣧⢟⢯⣾⣧⣞⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢜⣞⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⣿⣿⢠⢳⢮⡢⡀⣿⣼⣼⡸⢾⢸⢸⢸⣸⣕⣿⡃⣿⣽⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⢾⢂⡆⠐⡆⡇⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⣿⠃⡟⣿⡏⣺⢻⣿⣿⣽⡈⣆⢺⣈⣶⢿⡳⡇⡇⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⣯⣟⡗⠂⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢿⢹⣿⣽⣻⡻⣝⣿⡿⣿⡾⣿⠯⡿⣿⣟⣿⡱⣿⣿⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣴⣷⣾⣮⡇⡇⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢸⢸⣿⡇⢹⢰⢼⣿⣵⣿⣷⢕⣀⢤⣻⣯⣳⡣⣿⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⠷⡿⣟⡇⡇⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢾⢠⢶⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⣖⢔⢤⠀⠀⠀⠀⠀⠀⠀⠀⡜⣿⡸⡸⣿⣷⢟⢿⢪⡸⡄⣿⣿⣾⣿⣟⠯⠊⠪⣻⠿⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⠀⡇⡇⠀⠤⣳⣷⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠈⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣾⡿⠿⢿⣹⣾⣲⡀⠀⠀⠀⠀⠀⣰⢿⣿⢿⡇⡹⢿⣪⢿⣿⣿⣿⣿⢇⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢕⣕⠄⣿⣾⢇⡿⢟⢿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⣵⡫⢮⢄⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⡟⡎⣿⣸⣷⣷⡻⡟⣇⢀⠀⠠⣲⡷⡻⠓⡻⣝⣽⢷⣽⣿⡗⢽⢣⣿⡟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣽⡿⣿⡇⣻⢟⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⡠⡿⢝⣛⠛⣛⢊⠀⠑⢟⡛⣛⡯⢷⡢⠀⠀⠀⠀⠀⠀⠀⠀⢸⢡⣿⣿⡕⠯⡻⣕⣇⣾⣿⠾⠯⠊⡠⣄⠀⠀⠑⠭⣛⡛⡻⢷⣵⢻⣷⢇⣀⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢪⣷⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠈⡫⠁⠀⢸⢨⢺⠘⠀⠀⡇⡇⢷⢏⠉⢽⡴⣯⣶⣮⣕⢤⣀⠀⡸⡔⣻⣿⡇⢀⢤⣼⡟⡎⣾⡎⡠⣪⢿⣿⢣⠀⠀⠀⠀⠀⡇⠑⣻⠷⡯⡝⣿⣿⢸⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢝⠿⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠀⠀⠀⠀⢸⡟⠀⢀⣣⡿⣿⣿⣾⣿⢿⢿⣽⡣⣷⣧⣿⣬⣟⠝⢹⣿⣿⢿⣿⢞⣟⣿⠕⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠈⣽⠕⡄⣿⣯⡦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⢀⣀⣀⡀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⢸⡇⠀⡎⣿⣿⡿⣿⢿⡿⣿⣿⡻⡹⡼⣿⡯⣯⣮⣲⣞⣿⣷⣸⣿⡡⠀⣿⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⣿⠀⠀⠚⣟⣯⡷⣕⣕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⡾⣿⡟⣧⡀⠀⠀⢸⣿⡇⠀⠀⠀⠀⢸⡇⠀⠇⣿⣟⣿⣿⣽⣏⣟⣯⣿⢿⡿⠪⢷⡻⢸⣿⢿⡏⡙⣿⡏⠁⠀⣿⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⣿⠀⠀⠀⢸⣿⣏⣿⣼⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⢺⣿⣟⡇⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⡸⢇⣀⠘⢻⢿⡏⣿⣯⢹⡾⢻⣻⣧⡏⠁⠈⠮⡻⣯⣭⣿⠿⡫⠈⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⣿⠀⠀⠀⢸⣿⡇⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⢸⣿⡇⠀⠀⠀⠀⢸⣿⣇⡀⠀⡠⣵⣿⣿⣿⣝⣣⢷⣿⣿⣿⣿⢇⣿⣿⡟⡇⠀⠀⠀⠀⠉⢸⢸⠀⠀⠀⠀⠠⣿⠤⡀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⣿⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⣲⣽⢶⣾⣛⣛⡷⢮⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⣶⣵⣮⡄⠀⠀⠀⢸⣿
⣯⣿⡇⠀⠀⠀⠀⠘⢻⣿⣷⣽⠌⡯⢹⣹⣿⣿⢜⠑⡻⡟⣯⣯⡿⣯⣿⣿⡱⠀⠀⠀⠀⠀⢸⢸⠀⠀⠀⠈⢹⢠⢫⢇⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⣿⡀⠀⠀⠸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢴⣯⣞⣭⠶⣛⠭⠕⠒⠒⠭⡻⡘⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡼⢾⡿⠇⠀⠀⠀⢸⣿
⠯⣿⠇⠀⡠⠤⡀⢣⣷⡏⢿⡆⢷⢻⣭⣽⣿⡿⠆⠀⡨⣪⡻⣿⣿⣿⢟⠗⠀⠀⠀⠀⠀⠀⢸⢸⠀⠀⠀⠀⠘⠀⣛⠃⠀⠀⠂⢯⠅⡇⠀⠀⠀⠀⠃⣯⡇⠀⠀⠃⢫⢞⡠⣽⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣺⡾⣫⢾⠽⠋⠀⠀⠀⠀⠀⠀⠀⢇⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⠀⠀⠀⠀⠀⢸⣿
⠀⠀⡔⣵⣿⣿⢷⡚⣟⢷⢻⣿⡘⡇⠒⠭⠓⢱⣯⡆⢸⣿⣧⡌⠉⢸⢸⠀⠀⠀⠀⠀⠀⠠⢜⠼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣻⠷⠶⠶⠶⢾⢅⣛⣵⢶⠶⠷⠿⠷⣟⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⣯⢟⡵⡫⠊⠀⠀⠀⠀⠀⠀⠀⠀⢀⢜⡟⡾⠌⠀⠀⠀⣄⣖⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⠀⠀⠀⠀⠀⢸⣿
⠀⠀⢸⣿⡇⣝⣿⢻⢙⣿⣿⣿⡼⠜⠀⠀⠀⡸⣿⡿⠏⡏⡇⠀⠀⢸⢸⠀⠀⠀⠀⠀⠀⡎⡇⢹⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡻⡵⠕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢔⣵⣫⢾⣕⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⡿⣽⣻⠾⠶⠶⢶⣵⣇⢧⢇⠀⠀⠀⠀⠀⣀⢔⣒⠤⡀⡇⡇⠀⠀⠀⠀⠀⢸⣿
⠀⡀⣮⣿⣿⣽⣿⣿⢸⠉⠒⠂⠁⠀⠀⠀⠀⢸⣿⠁⠀⡇⡇⠀⠀⢸⢸⠀⠀⠀⠀⠀⠀⠁⠅⠨⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢔⡷⣯⣟⡞⣾⡟⡶⣽⡦⣀⠀⠀⠀⠀⠀⠀⡌⡗⡇⠀⠀⠀⠀⠀⠒⠅⠝⠀⠀⠀⡠⣺⣷⣻⣷⣟⣽⡷⣇⢇⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠋⠪⣻⠿⣿⠕⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⡇⡇⠀⠀⢘⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣖⡾⣵⡫⠊⠀⠢⢷⣿⣻⢯⣫⢻⣏⡄⠀⠀⠀⠀⠐⡟⣃⣗⡀⠀⠀⠀⢠⣥⣮⡢⠀⠀⢸⣮⢟⣯⡶⠉⠯⡾⣳⢛⣮⡢⡀⠀⠀⢸⣿
⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⢀⠇⢇⢄⡠⣵⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⣾⣵⡫⠋⠀⠀⠀⠀⢸⢸⠀⠈⢳⣿⣟⠃⠀⠀⠀⠀⢨⣿⣯⡿⠽⠭⠭⢭⣾⣿⣇⡿⠃⠀⢸⢸⢹⡷⣏⠷⠾⣯⣗⡽⡻⣻⢷⡕⠀⢸⣿
⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⡇⡇⣏⣿⡇⠓⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣪⢟⠯⠊⠀⠀⠀⠀⠀⠀⢸⢸⠀⠀⢀⠭⡀⠀⠀⠀⠀⠀⠀⢱⣾⣷⣆⠀⠀⠀⢰⣚⣓⢁⠀⠀⠑⣛⣛⣻⣵⡝⢮⡻⣬⠾⣫⢾⣯⡣⠀⢸⣿
⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⣶⢫⢾⢢⠅⠪⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣪⠟⣿⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⠀⢠⣼⣿⣷⣦⠤⡀⠀⠀⠀⡎⣿⢿⡿⠷⠶⠶⣸⣻⢸⢸⠀⠀⠀⠀⠀⠀⠙⢽⢿⣎⣭⣽⣿⣿⢇⠀⠀⢸⣿
⠀⠀⠀⡔⡷⡏⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⠹⣽⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢜⣞⠷⣟⡻⡕⠀⠀⠀⠀⠀⠀⠀⠀⡀⡜⣸⢠⠀⡎⡟⠛⡿⣿⣿⣶⡕⠀⠀⢘⠿⡯⠁⠀⠀⠚⠓⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⣿⣿⣟⠭⠋⠀⠀⠀⢸⣿
⠀⠀⠀⠔⡾⠞⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢀⣭⢀⣀⣀⣀⣀⣀⣪⠟⣵⡫⠚⣹⣿⡃⠀⠀⠀⠀⠀⠀⠔⡾⡧⣏⡇⠀⡇⡇⠀⠀⠉⢜⣿⡕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⣿⢼⣹⢸⣛⣛⣛⣛⣳⡿⣏⣧⣤⣪⢏⢏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠁⠀⡇⡇⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠊⠀⠀⠀⠀⠀⠀⠈⢝⢾⣯⠷⡯⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣃⠇⠤⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢄⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢜⣿⢉⡟⠃⠀⢸⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⣺⣷⣿⣿⡜⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠺⠸⠀⠀⠔⣾⣺⣿⠅⠀⠀⠀⠀⠀⠀⢀⢴⣒⡤⣀⠤⡤⣖⣽⣟⡽⠚⢞⣿⣿⢏⠁⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⠀⣭⡢⠤⠤⠤⠤⠤⢔⣭⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢘⠼⡫⠁⠀⠀⠀⠀⠀⡔⣾⣿⣽⡿⣿⡹⣝⡗⡹⡉⡆⣪⢾⠭⠋⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣽⡿⣾⡕⠭⠭⠭⠭⠽⢻⢿⣷⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⣪⡾⢟⠯⠯⡻⡟⢟⣿⡱⢸⣷⡷⡫⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠉⠀⠀⠀⠀⠀⠀⠀⠈⠯⠊⠀⠀⠀⠀⠀⢀⠤⣒⣨⣭⢶⣭⣖⢄⠀⠀⠀⣀⢴⣯⢾⡯⠊⠀⡠⣲⣾⣼⠹⣿⢿⣷⣼⡣⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⣀⣄⠀⠀⠀⠀⠀⠀⠀⣠⣪⣾⣟⠕⠊⠉⡠⣛⣓⣹⡾⣶⣾⣟⠽⠋⢀⢤⣮⣾⢿⠯⠂⠁⢇⣿⢿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣷⣷⣮⣖⣒⣒⣒⣒⣇⢿⣻⣿⡱⠀⠀⠀⠀⠀⢞⣿⡻⠊⠀⣀⣪⣾⣟⣯⠿⠿⣽⡷⢻⣫⣓⣽⣿⣟⠝⠉⠀⠀⡠⣵⣿⣹⢿⠕⠀⠀⠀⢀⢔⣭⣭⡢⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠼⠷⠖⠒⠒⠒⠒⠒⠪⠿⢿⠿⣗⡀⠀⠀⢣⢿⡕⠀⢀⣪⣿⣼⡫⠚⢉⢄⣢⣭⣯⣳⣝⡭⠓⠁⠀⠀⡠⣺⡷⣻⠊⠒⠊⠀⠀⠀⣠⣪⣾⠟⣡⢟⣷⢄⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠓⢹⣽⡜⡿⡏⠀⢠⣵⣿⢫⠉⣀⣪⣟⠕⠊⠉⠉⠺⢷⣧⣄⡤⣺⡷⡫⠚⠁⠀⠀⠀⠀⠀⠀⢪⡟⢾⠞⣯⣞⠕⠑⣟⣮⡷⣝⡀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⣹⣿⡇⢠⣼⣿⡱⠀⢔⣞⠊⠀⠀⠀⠀⠀⠀⠁⢻⠾⡯⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢜⣮⢾⡹⢮⡾⣲⣺⠾⣭⢟⡽⣷⢢⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢢⢏⠓⡙⣿⢣⢣⠀⠈⠽⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢝⣮⡳⣎⡷⣻⣿⡿⣽⣻⢾⠜⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣖⡵⡿⢁⢔⣾⣿⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠉⠯⡷⣟⢧⡷⣯⣟⠗⠁⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⣯⣾⣾⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣲⡷⣻⠗⠁⢨⣞⣷⢟⡆⡇⢠⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⢏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠰⣷⣪⢻⡔⠀⠀⠀⠀⠀⢲⣿⡯⠋⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣪⢾⣻⣿⣿⣿⡧⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⡠⣺⡷⡻⠚⠁⡠⣲⣷⡿⡫⠊⠀⡇⡇⢸⣿⡇⠀⠀⠀⠀⠀⠀⢀⣶⣎⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⢷⣏⣟⠊⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣺⡷⡫⠚⣀⢜⣿⣟⠗⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢔⣽⡿⣷⣯⣞⣁⡠⣺⣷⠿⡯⠊⠀⠀⣀⡠⣰⢿⢾⢿⠇⠀⠀⠀⠀⠀⠀⢇⣿⠿⣵⡠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣖⡵⣻⠓⢁⢴⣯⢟⠽⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⡿⣿⣿⣿⣹⣿⡻⣽⡯⠊⠀⠀⡠⣺⡷⣻⣛⣛⣧⡻⣭⢧⢤⣀⣀⠀⣠⣺⣾⠕⠀⠙⠺⣻⣭⡢⣀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢴⣽⣟⠗⠁⡤⣪⢾⠭⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢞⣾⠿⣞⡈⢪⣿⣼⣿⢣⠀⣠⣺⡷⡻⠚⠁⠀⢸⣿⡏⠯⣛⠿⠿⣿⣿⠾⣻⠗⠁⠀⠀⠀⠀⠀⠉⠺⣟⢯⣒⢄⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⡔⣿⡦⣷⡆⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⣀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢤⣯⣞⠽⠉⡠⣺⡶⡯⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣞⣿⢻⣷⠻⡏⡆⠀⢸⣯⣿⣸⡷⡻⠚⠁⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠈⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢽⡶⣗⢤⢜⢟⠃⠀⠀⠀⠀⠀⠆⠷⣻⣿⠜⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⢸⣿⣇⣿⡨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⣪⢾⠯⠋⣠⣖⡷⣻⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢔⣽⣟⠕⠙⢹⠈⣿⡿⣧⡷⣿⣾⡿⠜⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⢱⣿⢔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠫⣿⣿⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠑⣛⣯⣟⠕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣺⡷⡫⠊⣀⢔⣽⣛⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣯⣾⣿⣿⡱⣠⣖⣽⣿⣻⠯⠺⣛⣛⠭⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠿⠧⠀⠀⠀⠀⠸⣿⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠪⠯⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⡠⠤⣀⠀⣀⣖⡵⣻⠚⢁⢴⣭⣟⠕⠉⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⢹⣿⣿⡷⣻⠗⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⡿⡍⣽⡜⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⢠⣵⣿⡟⣿⣽⣟⠗⢁⡤⣯⢾⠽⠋⠀⠀⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠪⣛⠽⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣟⠕⠅⠀⠀⠀⠀⣠⠿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⣿⢷⣵⡀⡇⣧⢋⣯⢿⡻⣧⣺⠾⡯⠊⠀⠀⠀⠀⠀⠀⠀⠇⠇⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡗⣯⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⢀⣺⣯⣾⡿⡯⠁⠰⢿⣿⣹⡷⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⢿⣰⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣛⠧⣛⠕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠘⡻⣿⠞⠁⠀⠀⠀⠑⡻⣷⡷⣧⡿⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠪⡻⠽⠯⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠭⠗⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣸⣿
Полная версия ETKA |
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