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