⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⡤⣀⡀⢹⠢⡀⠀⠀⠀⢀⣀⣤⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣀⡀⠱⡄⠈⠑⠣⠈⣠⣴⢾⣻⢏⡿⣜⡳⣏⢿⣹⢶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢈⡱⠦⠈⠂⠀⣠⠾⠿⠽⣮⣗⣯⣞⣭⣻⣼⢯⠾⠷⢾⣟⣢⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠠⢎⣁⠀⠀⣀⠤⣞⢀⣀⣘⣆⣀⣀⣵⣤⣤⡤⣴⣶⣖⣿⢽⣻⣷⣳⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⢴⠞⢩⠃⣸⣽⢯⣏⡿⠘⣯⣿⣮⣟⣿⣾⣷⠿⣷⣾⣯⡽⣷⣻⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠡⠃⣠⣷⠎⣿⣏⣿⣼⠇⠊⠀⣙⣿⡉⠻⠿⣎⢹⣷⡿⣿⣟⣽⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠐⠋⣽⢽⠃⢠⣿⣞⣿⢿⠀⣠⣾⡿⡀⠁⠀⠀⠀⢸⣟⣻⠫⣿⣚⡿⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠊⢁⢬⣶⣿⣿⣞⣿⣿⡀⡇⣿⣿⡧⠀⠀⠀⠀⠸⣿⣿⠀⣿⢭⡗⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⢹⣿⣿⡄⠁⠈⠙⠁⠀⠀⡄⠀⠀⠈⠁⠀⣼⣯⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⢸⢿⣿⣷⡀⠀⠀⠀⠀⠤⠄⠴⠀⠀⠀⣀⣿⣷⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⣿⣿⢸⣾⡿⣿⢷⠠⢀⣀⠀⠀⠀⠀⣀⠠⠒⢉⣿⢿⡿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣏⡿⣿⠀⠻⢡⠈⠂⠀⠀⠀⣹⠁⠂⠉⡹⡀⠀⠈⠉⣎⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡾⣽⣻⡟⠀⠀⣿⠀⠀⠀⠀⣼⣯⣦⣀⣴⣿⣷⣄⠀⠐⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⣟⣳⡿⣽⡇⠀⠀⣀⠠⠤⢴⡞⢟⡳⠿⡾⠟⣋⣥⠇⡩⡇⠐⢲⠤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡜⣿⢮⣽⣻⣿⠁⡰⣋⢼⠀⠀⢸⡑⣎⣹⣞⣡⢃⣶⣃⢎⣱⠁⠀⢸⢢⡟⢆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡞⢸⣏⣾⡿⣟⣿⢊⠥⣹⣜⡆⡤⠊⠉⠀⠉⠉⠉⠉⠉⠉⠈⠈⠂⣄⣯⢏⣐⠎⣆⠀⠀⠀⠀ ⠀⠀⠀⢸⠃⣿⢫⣾⠟⢫⠰⢌⣲⣥⣿⠛⢆⣿⠁⠀⠉⢹⡏⠉⠉⠉⢹⣟⡋⢹⣷⡌⣘⢮⡘⢦⡀⠀⠀ ⠀⠀⠀⠸⣄⠿⢯⢱⠨⢅⣪⣶⣿⣿⡿⠼⠭⢠⠀⠀⠀⢨⡇⠀⠀⠀⠠⢤⠜⢾⣿⣿⣽⢠⢻⣮⡉⠶⣄ ⠀⢀⠄⠊⠀⠀⠎⠦⣽⣾⠿⣿⣽⣿⡇⡿⣽⣿⠀⠀⠀⢠⡇⠀⠀⠀⢰⣎⡀⣿⣿⢯⡿⣷⣦⡙⢿⡴⡻ ⡞⠁⠀⠀⢀⣠⡖⣏⠁⠸⡈⠁⠘⢻⢳⣗⣛⣉⠐⠒⠂⢸⡇⠀⠈⠉⣋⣉⢿⢻⣿⣏⣿⣻⢷⣻⡿⠋⠀ ⠱⣄⠀⣀⣠⣶⢧⠈⠢⣀⡀⠀⠀⡟⠆⣿⠉⣿⠀⠀⠀⢨⡇⠀⠀⠀⣿⢉⣿⣸⣿⠾⠙⡟⠛⠉⠁⠀⠀