⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣤⣶⢶⡶⣶⢶⣶⢶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⡶⣿⢻⡽⣚⡷⣹⢞⡯⢾⡽⢯⣻⣛⣞⢷⡻⣾⢽⣻⢶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⡟⡿⣜⣳⡭⣷⣹⢳⡽⣹⡞⣽⣣⠿⣭⡳⡽⣎⡯⣗⢯⣏⢯⣟⣾⡽⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⢻⢧⣛⡷⣭⡳⣽⢲⡭⣗⢯⡳⣽⢲⡭⣟⢶⡻⣵⢫⣞⡽⣚⣮⢟⣼⢺⡝⣷⣻⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⢿⣭⢻⡞⣽⢺⡵⣻⡜⣧⢻⡜⣧⢻⡜⣧⢻⡜⣧⢻⣜⡳⣎⢷⣫⢞⡽⣎⢷⣫⢷⣹⢯⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢯⢷⣚⣯⢞⡧⣟⡼⣣⢟⡼⣣⢟⡼⣣⢟⡼⣣⢟⡼⣳⢎⡷⣹⢎⡷⣫⢞⡽⣎⢷⣫⢞⡽⣞⣧⠀⠀⠀⠀⣀⣴⡤⠶⠛⠋⠉⠉⠉⠓⠲⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣯⡿⣹⡞⣼⢫⡞⣵⢫⡗⣯⢞⡵⣫⢞⡵⣫⢞⡵⣫⢞⡵⣫⢞⡵⣫⢞⡵⣫⢞⡽⣎⢷⣫⢞⣭⢿⡀⣀⡴⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠈⠳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⡻⣵⢫⡗⣯⡝⣮⢳⡝⣞⢮⡳⣝⢮⡳⣝⢮⡳⣝⢮⡳⣝⢮⡳⣝⢮⡳⣝⢮⡳⣝⢮⡳⣏⠾⣽⠟⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣴⣶⣶⣶⣶⣦⣤⣀⡀⠀⣿⣷⢻⡵⣻⡜⣧⢻⡜⣧⢻⡜⣧⢻⡜⣧⢻⡜⣧⢻⡜⣧⢻⡜⣧⢻⡜⣧⢻⡜⣧⢻⡜⣧⢻⡜⣯⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⣟⢿⡹⢧⣻⣜⣳⢮⣳⣛⡾⣽⣻⢿⣿⡾⣝⡾⣱⢻⡜⣧⢻⡜⣧⢻⡜⣧⢻⡜⣧⢻⡜⣧⠿⣭⡳⣝⢮⡳⣝⢮⡳⣝⢮⡳⣝⠮⣇⠿⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⣏⢷⣹⣎⡟⣧⢗⣮⢳⣏⢶⣫⢷⡹⣞⢯⣻⣿⣽⡺⣭⢷⡹⣎⢷⡹⣎⢧⡻⣜⢧⡻⣜⢧⡻⣼⡻⣵⢻⡜⣧⢻⣬⢳⡝⣮⢳⡝⣮⢻⣜⣻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣴⡿⢯⣳⠽⣎⠷⣮⡝⣮⢻⣜⡳⢮⡳⣝⢮⡳⣽⢺⡵⣫⣷⣿⣱⢏⡷⣹⢎⡷⣹⠮⣵⢫⡞⣵⣫⣞⡵⠷⠿⠷⠯⣾⡵⣷⢮⣷⣹⣎⡷⣹⢎⡷⢎⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⢿⣹⢻⣜⡻⣜⡻⢶⡹⣎⠷⣮⣝⡳⣝⢮⡳⣝⢮⡳⣝⢧⣏⣿⣽⢾⣱⣏⢾⡱⣧⣻⠶⠟⠚⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠛⢿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀ ⠀⠀⠀⢠⣿⣏⠿⣜⣳⢎⡷⡭⢏⡳⣝⢮⣛⠶⣍⢷⡹⣎⢷⡹⣎⢷⡹⣞⡼⣎⢿⣿⣶⡽⠞⠋⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀ ⠀⠀⢠⣿⣳⢞⡯⣝⢮⣛⡼⣍⢯⢳⠭⣞⣱⠻⣜⢧⢻⡜⢧⣛⣬⢳⡝⡶⣹⢎⣷⠟⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀ ⠀⢀⣾⢷⣹⢮⡳⣝⢮⡵⢺⣜⣣⠯⣝⠶⣩⢟⣬⠻⣜⡺⢧⡝⣲⢏⡼⢳⡽⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢦⡀⠀⠀⠀⠀⢀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀ ⠀⣼⣯⡟⣮⢳⡝⣮⣓⡞⣳⢎⡶⣛⣬⡛⣵⢺⣬⢛⡶⣹⣚⢼⢣⡞⣭⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡇⠀⠀ ⢠⣟⣷⣏⢷⣫⢞⡵⢎⡽⢎⣧⢳⡝⣦⢻⣜⡳⣎⡿⣼⡱⣎⢯⠶⣹⠏⠀⠀⠀⠀⠀⣀⣀⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣾⣿⣿⣶⣶⣤⣀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀ ⢼⣿⣻⡜⣧⢳⢮⡝⣮⢝⣫⡜⣧⢻⣜⡳⣮⢽⡽⢾⣵⡻⣼⢫⣿⠇⠀⠀⠀⣠⣴⡿⠟⠛⠙⠛⠛⠿⢿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⡿⠿⠋⠁⠀⠀⠀⠀⠙⠻⢷⣦⡀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀ ⠸⣟⣷⣹⢎⡿⣜⡺⢥⣛⢶⡹⣎⠷⣎⢷⡹⣎⢿⡹⣖⣟⣳⣿⠃⠀⠀⣀⣾⣿⠋⠃⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠋⠁⠀⢀⣀⣦⣤⣄⣀⠀⠀⠁⢛⣿⣦⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠃⠀⠀⠀⠀ ⠀⣿⣷⣫⢞⡵⢮⣝⡣⣏⢶⡹⣜⣫⡜⣧⢻⡜⣧⢻⡜⣮⢳⡏⠀⠀⢢⣿⡟⠀⣀⣤⣷⣿⣿⣿⣿⣶⣤⡀⠀⠙⣿⣧⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿⠁⠀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠘⢿⣇⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⠀⠀⠀⠀ ⠀⠸⣷⣯⢻⣜⡳⢮⡵⢎⣧⢳⡱⢮⡜⣎⢧⣛⠼⣣⢻⡜⢯⡇⠀⢠⣾⠃⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠘⣿⣇⠀⠀⠀⠀⠀⠀⣼⣿⠁⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠈⢿⣄⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠚⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⣯⣟⣮⣝⡳⣎⢟⡴⣣⡛⢶⡹⣜⣣⢞⣭⢓⣳⢚⣿⢀⠀⣼⠏⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠹⣿⡆⠀⠀⠀⠀⠀⣿⡇⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⢘⣿⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠰⢿⣁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⢿⣷⢾⡵⣫⢞⡼⣱⡝⣣⡝⡶⣍⣞⠲⣏⢮⡝⣿⠈⠀⣿⢀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⣿⣇⠀⠀⠀⠀⢸⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⡇⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠢⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠻⣽⣳⢯⣞⡵⣫⢷⡹⣞⡵⣎⠿⣜⢧⣻⡇⠀⠀⣿⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣏⠀⠀⠀⠀⢸⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣸⡇⠃⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠾⣽⣳⣯⢷⣽⣺⣭⣟⣾⣭⣟⣇⠀⠀⣿⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢠⣿⡇⠀⠀⠀⠀⠀⢿⣷⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⢀⢀⣿⠁⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⣿⢻⢻⡙⢯⡹⢭⠯⣝⢿⠀⠀⢻⣷⠀⠀⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⢠⣾⡟⠀⠀⠀⠀⠀⠀⠘⣿⣧⡀⠚⠿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⢐⣾⠗⠠⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⡟⢭⠲⣍⠶⣩⢧⡙⣎⠳⣎⢿⡆⠀⠌⢻⣷⡀⠀⠀⠙⠻⠿⢿⣿⡿⠿⠟⠋⠀⣰⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠘⢿⣷⣄⡀⠀⠉⠛⠛⠛⠛⠋⠁⠀⠀⢀⣴⣿⠏⠀⠀⠘⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⣿⢻⡱⣙⢎⡳⢌⡳⣡⢎⡵⣊⠷⣘⠮⣧⠀⠀⠀⠛⢿⣶⣀⡀⠀⠀⠀⠀⠀⠀⣀⣠⣾⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣶⣤⣀⣀⣀⢀⣀⣀⣤⣶⡿⠛⠁⠀⠀⠀⣴⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀ ⠀⠀⠀⠀⠀⠀⣴⠿⣌⠳⡜⣡⠞⣰⢋⠴⡡⢞⡰⢍⡺⢥⢫⠽⡎⡇⠀⠀⠀⠉⠛⠿⢶⣶⣶⣶⣶⡾⡿⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠟⠛⠟⠛⠛⠋⠉⡆⠀⠀⠀⠀⢀⡽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⡄ ⠀⠀⠀⠀⠀⢠⣿⢹⡈⡇⢇⡡⠌⣄⡉⢤⠉⡤⢉⢤⠡⣌⢁⡏⣿⡸⡀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢡⡀⠀⠀⡠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀ ⠀⠀⠀⠀⠀⣸⡧⢧⡹⢌⡣⢜⡩⢆⡙⠦⡙⡔⣋⢆⠳⡌⢞⡰⢭⢧⡙⠦⣀⠀⡰⠁⠀⠀⠀⠀⠀⣠⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣶⣾⡿⠿⢿⣦⡀⠀⠀⠀⠀⠉⠉⠉⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀ ⠀⠀⠀⠀⠀⣿⣝⢣⠞⡢⢕⠪⡔⢣⠜⡡⠓⣌⠲⡌⢳⣘⢣⡝⢮⡹⣳⡄⠉⠁⠀⠀⠀⠀⠀⢀⣾⡿⡟⠉⠉⢻⣿⠿⢷⣶⣶⣤⣤⣤⣶⣶⡾⠿⠛⠋⣿⠍⠁⠀⠀⠈⢻⣿⡆⠀⠀⠀⠀⠀⡸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀ ⠀⠀⠀⠀⠀⢹⣎⡳⢊⡕⢪⠱⢌⠣⣌⠱⡑⣂⠳⢌⠣⢎⡳⡜⣣⢳⡱⣛⣦⡂⠀⠀⠀⠀⠀⠺⣿⡀⠁⠀⠀⣿⡇⠀⠀⠀⠀⠉⣽⡿⠩⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⣸⡿⠁⠀⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣯⡕⢫⠜⣡⢋⠜⣂⢆⠣⡱⢄⠫⣌⠳⣉⢖⡙⢦⢣⢓⡵⢪⠽⣶⣄⠀⠀⠀⠀⠻⣷⡀⡀⠀⣿⡇⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⣠⣾⡟⠁⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣯⡳⡜⢤⢃⡚⠔⣪⠑⢦⡉⠖⣌⠣⡍⢦⡙⢆⢣⠎⡴⢋⡼⢩⡛⣧⣄⠀⠀⠀⠈⠿⢷⣤⣻⣇⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⢀⣹⣧⣴⡾⠋⠉⠀⠀⢀⡤⠞⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⣷⡭⢆⡣⢌⡓⢤⠋⢦⡙⡜⢤⠓⡜⢢⡑⠎⢦⡙⠴⣉⠖⡥⣙⠦⡹⢷⣤⣄⡀⠀⠀⠈⠉⠛⠛⠻⠶⠶⠶⠶⠿⠷⠶⠶⠛⠛⠛⠉⠁⠀⠀⢀⡠⠔⠚⠉⠠⠐⡈⢷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡙⢦⡘⢢⢙⡰⡘⡌⠦⡙⢤⢃⠬⣉⠆⡜⡱⢌⡚⠴⣡⠞⣱⡿⠁⡀⠌⡑⠢⠄⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠠⠄⠖⠊⢉⠁⡐⠠⠁⠌⠠⢁⠐⠠⣯⠙⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡙⢦⢡⠒⡡⠜⢢⢉⢆⢊⠦⠱⣘⠰⡑⢎⡜⡱⢎⡽⣾⠃⡐⢀⠂⡐⠠⢈⠐⡀⠂⠄⠉⠡⠀⠄⡉⢉⠉⠡⢀⠀⢂⠐⠠⢁⠂⡐⠠⠁⠌⠠⢁⠂⠌⡐⢸⡀⢀⣤⣉⠒⠒⠤⠤⠤⠤⠤⠤⠒⠒⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢿⣦⢣⡙⠴⣉⢆⠣⡌⢦⠙⢦⢡⣣⣝⣢⢞⣱⣯⠟⢡⠆⡐⢀⠂⠄⡁⢂⠐⠠⠁⠌⠠⠁⠌⡐⢀⠂⠌⡐⠠⠈⠄⡈⠐⡀⠂⠄⠡⠈⠄⡁⢂⣈⣄⣐⣠⡟⠉⠀⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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