⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢄⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣀⡀⢀⣀⣀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠐⠈⠁⠀⢀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⡥⣄⢸⣤⠠⠃⡅⠀⠀⠀⠀⠀⠀⠀⠠⢔⠕⠀⠀⠀⠤⠀⠻⠂⢔⠀⠈⠀⠀⠄⠝⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠰⠤⡾⠸⠤⢤⠃⠅⠀⠀⠀⠀⠀⠀⢠⢪⡎⢂⠔⠃⢀⣀⣀⡠⢀⣀⠐⠀⠀⠄⠄⡄⢏⢆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣯⠀⠀⠀⠀⠀⠀⠀⡇⡒⠁⠀⠀⡴⠃⠀⠀⠀⠈⠈⠙⡫⠁⠀⢿⢷⡐⡜⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣕⡸⠚⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣲⢞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣞⠀⡀⢼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣯⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣞⡃⢆⡷⠄⢀⠀⠀⠀⠀⢀⡀⡀⠀⢀⡄⠴⠌⢯⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⢉⡽⠀⠀⠁⠫⠴⠖⠶⣺⣾⠑⠜⠿⠛⠛⡜⢸⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⠂⠀⠀⠀⠀⠱⠀⡊⠂⣠⠃⠀⢪⣉⡄⠅⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢴⠿⡇⠀⠀⠀⠀⠀⡁⠖⡿⠣⠄⣤⠌⡦⣄⠀⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠙⡶⠃⠀⠀⠀⠀⠀⠀⣌⣆⣀⣼⣫⡤⢼⡟⠐⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢧⠃⢰⢳⡄⠀⠀⠀⠀⠀⢀⠏⠀⢈⣴⡤⠀⠀⠁⢠⠛⠣⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⡤⣖⢚⠁⡘⠀⢸⢸⡗⠀⠀⠀⠠⠀⠀⠀⠀⢀⢀⠀⠀⡀⠠⠊⠀⠀⠈⠙⢄⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡠⢒⠋⣹⠊⡎⠆⠆⠀⠁⠀⢸⠘⢧⡀⠒⠤⠀⠀⠀⠀⢀⠒⠊⢩⠵⡞⠁⠀⠀⠀⠀⠀⠀⠁⠐⠢⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⢋⠆⠃⡴⡇⣜⡈⠀⠀⠀⠀⠀⠸⡄⠀⢣⣀⠀⠀⠀⠀⠀⠀⣀⢀⣘⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠦⡀⠀⠀⠀ ⠀⢀⢔⡏⢋⣮⠘⠘⠀⢨⢟⡇⠐⢤⠀⠀⠄⡄⣷⠀⠀⢳⡠⠀⠀⠀⠀⣀⠴⢫⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⠀⠀ ⢰⢓⠃⡁⠰⠈⡼⠀⠀⡸⠌⡌⡆⠗⠂⠀⠀⠈⢻⡆⠀⠀⢳⠀⠀⣠⠖⠁⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣦⠀ ⠘⠈⢢⠇⠇⠇⣇⠀⠀⠀⠀⠃⠁⠀⠀⠀⠀⠀⠈⢏⡒⠤⣈⣆⠜⠁⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡑⠁⠁ ⠀⠀⢨⢰⢘⠼⠘⠀⠀⠄⢀⠆⠸⠀⠀⠀⠀⠀⠀⠸⡹⢦⡀⣭⣤⠴⡞⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠀⠀⠀ ⠀⠀⠈⣢⡊⠀⠀⠀⠀⠀⡌⣻⠀⠁⠀⠀⠀⠀⠀⠸⡍⣰⠃⠈⢡⠎⠀⠀⠀⠀⠀⠀⠀⠀⢀⢎⠎⠀⠀⠀⠀⠀⠀⠈⠀⠰⠁⠀⠀⠀ ⣀⠀⠑⢸⡇⠀⠀⠀⠀⢰⠸⠀⢃⠀⠀⠀⠀⠀⠀⠀⢧⡏⠀⣰⠋⠀⠀⠀⠀⠀⠀⠐⠀⠀⢈⠊⠀⠀⠀⠀⠀⠀⠀⠀⣀⢃⢠⠀⠀⠀ ⢺⡏⠀⣯⡇⠀⠀⠀⠀⠀⢡⠀⡜⡁⠀⠀⠀⠀⠀⠀⠉⡇⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠂⡲⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⢀⡆⠀⠀⠀ ⢫⡃⠀⣿⡇⠀⠀⠀⠀⠀⠀⢢⠘⡰⣀⠀⠀⠀⠀⠀⠀⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠰⠀⠀⠀⠀ ⢸⡗⢰⣿⡇⠀⠀⠀⠀⠀⢰⠈⡀⠂⠳⠀⢢⠀⠀⢀⠎⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠓⢸⠡⡀⠀⠀ ⡄⠃⠎⢿⡟⠀⠀⠀⠀⠀⠀⢇⠁⡀⢀⢣⢀⠢⣠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠘⢟⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡦⣾⡇⢂⣀⢀ ⣿⠀⠀⠈⣱⢆⠐⠠⠀⠀⠀⠀⠀⢰⠀⠠⡫⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠀⠙⢯⢆⣄⣀⠀⠀⠀⢐⠔⠀⣎⠽⠗⠋⠁⠘⡆ ⡟⠀⠀⠀⠀⠸⠀⠀⠀⠀⠡⠀⠀⠀⠇⠀⢡⠃⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠍⠉⠁⠂⢠⠎⣣⠀⠀⠀⠀⠈ ⡇⠀⠰⢶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣹⡿⢧⠀⠀⠀⠀