⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣃⠀⠀⠀⠀⠀⠀⠀⠀⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠊⠦⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠏⠀⠀⠀⠀⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⢴⣛⢷⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠁⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⣼⢣⣟⣎⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠁⠐⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢣⣟⣧⣿⣼⣣⣿⣂⢀⢤⡠⣲⣂⡐⣆⡀⡀⠀⠀⢀⡠⠦⠔⠒⠉⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠻⣿⣛⣟⡻⣽⣳⠿⣿⣾⣷⣿⡍⠀⠝⠉⠈⠣⣈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢯⡞⣽⡇⠀⠀⢠⡿⢿⠿⣦⡠⡀⠀⠢⠤⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣾⡼⠛⢾⡤⣀⣀⣀⣀⢀⡸⣿⣄⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⣛⡿⠿⠘⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣅⠉⠉⠈⠉⠉⠀⠿⠻⠃⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣮⣖⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣸⠙⠠⡧⠐⠒⢖⡶⠓⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠳⣨⢙⠷⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡞⠁⠀⠀⠈⠢⠄⢐⡤⠄⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠅⠀⠜⣿⣆⠫⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⠹⠀⠀⠀⠀⠰⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⢹⣀⣶⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⢀⣢⢀⢀⣄⣄⣀⣠⣀⠀⠀⠀⠰⠴⠴⠤⠆⣼⡀⠀⠀⠀⠼⠋⢱⢪⠻⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠄⠂⠢⠀⠀⣻⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⢿⣿⠆⠐⠈⠀⠀⠀⠈⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⡁⠄⠀⠠⠈⢿⣿⡆⠲⠦⠦⠾⠰⠤⠀⣤⣴⣿⡟⠃⠀⠆⠀⠀⠀⠀⠀⠀⠀⠂⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠦⠁⠀⠀⠑⢪⠟⠀⠀⠀⠀⢐⠑⠞⠛⠉⠋⠁⠀⠀⡀⠀⣠⠀⠀⢀⣀⠚⠀⠐⣽⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢅⠈⠀⠀⠀⠃⡇⣀⠀⠀⠈⢠⠸⠖⠒⠒⠲⢒⠶⠃⠀⠛⠠⡀⠦⢀⣀⠀⠘⡗⠀⣀⠫⡂⠐⠂⠐⣢⣀⢀ ⠀⠀⠀⠀⠀⠀⠀⠑⠈⠀⠀⠀⠈⠙⠄⠶⠀⠀⠰⠄⠠⠀⡀⣸⠁⠀⠌⠠⠰⠐⠀⠀⠀⠠⡀⢠⠐⠢⡀⠐⠊⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⣀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⢀⠀⠶⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡨⢀⠁⠀⠂⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠄⠉⠀⠀⠂⠀⠤⠀⠀⠀⠀⠀⠀⠀⠤⠀⠀⠀⠀⢀⡀⠀⠀⠀⢠⠄⠀⠛⠁⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠈⠐⠓⠋⠃⠛⢱⠆⠁⠐⠋⠩⠸⠓⠂⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠁⠀⡄⠀⠀⠀⢠⣠⠤⠄⡀⠀⢀⠄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⠶⠰⠶⠰⠖⠀⠀⠀⠀⡰⠃⠀⠀⠀⠉⣩⠃⠀