⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣰⠶⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⠉⠱⠤⠀⠀⠀⠀⠀⠻⠬⠽⠀⢘⡇⠀⠀⠀⠀⠀⠀⠀⣀⠀⣠⣤⡤⠤⠤⢤⡤⣤⣀⡀⠀⠀⠤⠤⠤⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠨⠂⠀⠀⡄⠀⠀⠀⠀⠃⠐⠲⠦⠤⣈⡁⢲⣄⣠⣴⢠⡬⢇⡤⠒⠉⠀⠀⢰⣂⣉⣉⠤⠤⠶⠶⡒⠀⢢⠈⡆⠀⠀⠀⠀⠀⠀⠀ ⠐⠔⡆⠀⡄⠀⠀⠀⠀⡇⢀⢠⠂⠐⠄⣨⢟⠟⣡⠖⢻⠟⠈⠛⠲⢄⠀⠀⠀⠀⠀⢈⠢⠼⠔⠢⡜⢦⡌⢠⣷⠦⣄⠀⠀⠀⠀⠀ ⠀⠀⠈⠉⠀⠀⠀⠀⠀⠃⠸⣼⠀⡷⠒⢲⢃⢜⠕⢡⠆⠀⠀⠀⠀⠠⡱⡲⡀⠀⠀⠐⡖⡶⡼⢀⠇⢈⡇⡘⢢⣏⢪⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⢻⠎⠀⠀⣦⡿⠋⠀⠸⠀⠀⠀⠀⠀⠠⡵⡴⡌⠢⠀⠜⠁⡰⣇⡜⠀⡘⢠⡇⠀⠛⠄⠹⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡹⠃⠀⠀⢠⡟⢅⢀⠀⠀⠀⠀⢀⠀⠀⣀⡸⣴⡵⡄⠀⣀⣮⣤⣾⠆⣷⢃⡎⢸⡀⠀⠀⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡓⠀⡠⠖⣼⡃⢠⣿⡏⢵⠀⠀⢠⠀⢸⠁⠲⠞⣶⣶⣾⣟⣉⣥⣼⣾⠁⠉⠀⠀⣷⠀⢸⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⡐⠁⢸⠛⠀⡜⢸⡇⢸⡇⠀⣼⠀⠈⡇⠀⠀⠘⣾⡟⠋⠉⠉⢹⣸⠀⠀⠀⠀⢸⠀⡇⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡘⠁⠀⢸⠀⠸⠃⢾⢧⠀⢿⢼⣿⣿⠀⢰⡸⡀⠀⠘⣇⠀⠀⠀⢸⢿⡇⠀⠀⡀⣸⢸⠁⢰⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⢹⣷⠀⠀⢸⠀⣧⣦⣼⣌⢇⠘⡄⡟⢏⠣⡀⢣⣱⡀⠀⢸⠀⠀⠀⡟⠀⡇⠀⢀⡇⣟⡇⠀⣼⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⣿⡄⠀⢸⣿⠏⣿⣿⣿⡌⠑⠷⣧⠈⢿⡿⣶⡷⡱⣦⣸⠀⠀⡸⠁⢠⡇⢀⣼⣿⡿⠀⢰⡟⠀⠀⠀⠀ ⡆⠀⠒⢢⠀⠀⠀⠀⢸⡆⢹⡷⡄⢸⣿⡄⢻⢿⣿⠀⠀⠀⠀⠁⠁⢸⡻⢛⡝⢾⢿⢠⠀⠁⠀⢸⡡⢞⣸⢻⠇⠀⣸⡇⠀⠀⠀⠀ ⡃⢐⠀⠈⠂⠀⠀⠀⠘⣷⣬⢇⢺⣆⣃⣬⣞⣣⠎⢀⠄⠀⠀⠀⠀⢒⣧⣊⣑⠎⣌⡎⠀⢀⣼⡌⠁⣸⡛⡟⠀⠀⣿⠀⡀⠀⠀⠀ ⠑⠥⠄⠪⠇⠀⠀⠀⠀⠈⣙⡞⢧⣤⡖⢊⢚⠂⠀⠀⠀⠀⠀⠀⠐⠋⠊⠂⢀⣈⣉⣱⡴⠋⢸⢃⣰⠋⣷⠃⠀⢨⣇⡆⠘⠢⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠀⢨⠥⢖⢈⡸⠆⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⢠⠬⢍⣱⡇⠀⡌⠉⢇⠀⡮⢀⢄⠔⡉⣰⠦⠠⠃⠀ ⠀⠀⠀⠀⠀⠀⢀⣀⢀⣿⡇⠀⢸⠀⠈⡟⠾⢄⠀⠀⠀⠉⠉⠀⠀⠀⢀⡠⠕⠊⠁⢻⠃⠀⣇⣀⣸⣴⡗⠺⠞⢶⣄⢐⢴⡄⠀⠀ ⠀⠀⠀⠀⡔⢳⣨⣟⣼⣿⡇⠀⢸⡀⠀⠃⠀⢀⡱⢆⣀⣀⣀⠠⠔⠂⠁⠀⠀⠀⠀⠸⠀⢀⡇⣀⣙⣛⠇⠢⠀⢿⣯⣉⠉⠀⠀⠀ ⠀⠀⢠⠞⠋⣁⢤⣴⡿⢸⠀⠀⢸⡇⢀⣸⠴⠋⠀⣀⡠⠖⢲⡀⠀⠀⠀⠀⠀⠀⣀⡆⠀⢸⠓⠓⢤⣌⠑⠲⠴⡋⣿⣯⡆⠀⠀⠀ ⠀⠀⢸⠀⢸⣇⠼⣿⡇⢸⡇⠀⠀⣧⠎⠀⠀⠀⠀⢹⣀⢀⣀⡇⠀⠀⠀⢀⠔⠊⢱⠃⠀⣼⠀⣠⠮⣀⡷⠀⢸⠇⢻⣯⣻⡄⠀⠀ ⠀⠀⡏⠔⠊⢁⡀⠼⣧⢸⡇⠀⠰⠃⠀⠀⠀⠀⠀⢸⡁⠀⠀⠁⠀⢀⢔⡁⠔⠊⡍⠀⡘⡇⡸⠣⢄⡈⠑⢄⢸⠀⠘⣷⡏⢣⠀⠀ ⠀⠀⡇⠀⠈⠁⠤⠔⠚⣆⡇⠠⠦⣀⠀⠀⠀⠀⠀⠀⢇⠀⠀⢀⡰⠗⠈⡀⠀⢰⢃⡜⣁⣟⡁⠒⠄⠈⠀⠀⣸⠀⠀⠸⣇⠈⢇⠀ ⠀⠀⠹⡆⠀⠀⠀⢠⡎⢸⣿⡇⠀⠈⠑⠦⢀⡀⡀⠀⠸⡤⣠⠎⠁⢀⣈⣀⢠⡦⠎⠉⠹⡀⡇⠀⠀⠀⠀⡰⡇⠀⠀⠀⠹⢆⠘⡆ ⠀⠀⠀⠘⡆⠀⠀⠀⢱⢹⡿⠂⠀⠀⠀⠀⠀⡝⡞⠢⢀⡛⣁⠠⢔⣆⡏⠀⠊⠁⠀⠀⠀⡙⠁⠀⠀⢠⢾⡘⣾⡄⠀⠀⠀⠈⠁⢹ ⠀⠀⠀⠀⢸⠄⠀⠀⠈⡞⠀⠀⠀⠀⠀⠀⠸⠹⠀⠀⠀⠉⠁⠀⠸⠸⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⢰⡇⠘⢧⡘⠴⡄⠀⠀⠀⠀⠘