⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠒⠉⠉⠉⢢⠤⠤⡀⢀⣀⣀⠀⡠⠖⠋⠉⠉⠒⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⠙⠄⠀⠀⠀⠀⠀⠈⡇⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠐⠠⠄⡀⠀⠀⠀⢀⠄⠈⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠹⠔⠒⠢⠇⠀⠀⠀⠀⠀⠀⠠⠤⡖⠁⠘⡄⠀⠀⠀⠀⣠⣃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡠⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠰⡄⠀⠀⠈⠁⠀⠙⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠁⠀⠀⠀⠀⠀⠀⡜⠂⠲⠀⠀⠀ ⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠉⠀⠉⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣞⠀⠀⠘⠒⠂⡀ ⠀⢀⡠⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠘⠂⠈⠆⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⡝ ⢠⠋⠀⠀⠀⡠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢄⣀⣀⡠⡂⠀⠀⠀⠠⡄⠀⠀⢀⡀⠀⢀⡰⠃⠀⠀⠀⠺⣅ ⡇⠀⠀⠀⠀⠣⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⡄⠀⠰⣀⡠⣀⠀⢀⣠⠎⠉⣹⣀⠀⠀⠀⠀⠀⣸ ⡇⠀⠀⠀⠀⢰⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⢷⠒⠂⠐⡎⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠁⠀⠉⢢⠀⢰⠊⠁ ⠘⢤⡤⠀⠀⠀⠑⠂⠐⢆⠀⣄⣀⣀⠀⠀⡀⢀⡴⠀⠀⡧⣀⠜⠑⠂⢺⢳⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡜⠐⠃⠀⠀ ⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢎⠀⠡⠀⠀⠱⡀⣠⠀⠀⡏⠈⢱⢲⠂⠀⠀⠀⠀⠀⠀⠀⠀⠱⠀⠀⠀⠀ ⠀⠱⣄⡀⣠⠃⠀⠀⠀⠀⠀⠀⠀⠉⢫⣁⢫⡳⢄⢣⠀⠀⠉⠀⠀⢰⠇⢀⠇⢾⡻⠖⢖⠁⠀⡀⡀⠀⢀⡼⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⡀⠀⠀⠀⠐⣄⣀⣀⡠⠎⠓⢯⡀⠀⢸⠀⠀⠀⠀⠀⣸⢁⠎⡴⡋⠀⠀⠀⡉⠉⠀⠈⡏⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠒⠒⠒⠋⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⣿⢏⡾⠝⠓⠢⠤⠊⠈⠑⠒⠊⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⡠⠄⣀⣿⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢸⡜⣉⢿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠸⡱⡻⡸⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡤⢄⡀⠀⢀⣀⣀⢇⠀⠀⠀⠉⠈⠀⡎⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠠⢤⡤⠀⢘⡆⠈⠋⣑⣽⣾⠌⠀⠀⠀⠀⠀⠀⠣⣸⣄⠀⢹⡅⠀⠔⠪⠿⢤⣤⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠐⠈⠉⠀⢀⣤⣖⣋⣁⣀⣋⣀⣀⠀⠒⠒⠄⠀⠀⠈⠈⠓⠦⢤⣀⠀⠀⠀⠀⠀⠑⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠦⣄⣸⡟⠒⠒⠒⠒⠒⠚⠛⠀⠀⠀⠀⠀⢰⣶⣶⣶⣶⣶