⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⢀⠐⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡢⢈⠲⢔⡤⠀⠁⠀⠀⣀⣠⠤⠤ ⠀⠀⠃⠶⣆⢀⠀⠀⠆⠃⣻⣿⠷⢸⣿⢀⣰⠾⠛⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠑⠳⡀⣫⢿⣿⢷⣙⣿⣋⣀⠤⠤⠤⣀⠀⠀ ⠠⠠⠤⠤⠤⠶⠴⣼⠯⠛⣔⣻⡲⣿⣻⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠀⠄⠐⡿⡂⢠⠇⢃⢡⣾⣦⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠘⠰⠸⠄⡷⣿⣿⡿⢿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⡇⢆⠰⠘⠆⠃⡶⡾⣟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⠧⣆⡉⡁⠀⠥⢾⣿⣿⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡘⢪⠀⢈⡙⠟⠟⠺⠿⠿⣻⡿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⢀⠐⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡢⢈⠲⢔⡤⠀⠁⠀⠀⣀⣠⠤⠤ ⠀⠀⠃⠶⣆⢀⠀⠀⠆⠃⣻⣿⠷⢸⣿⢀⣰⠾⠛⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠑⠳⡀⣫⢿⣿⢷⣙⣿⣋⣀⠤⠤⠤⣀⠀⠀ ⠠⠠⠤⠤⠤⠶⠴⣼⠯⠛⣔⣻⡲⣿⣻⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠀⠄⠐⡿⡂⢠⠇⢃⢡⣾⣦⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠘⠰⠸⠄⡷⣿⣿⡿⢿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⡇⢆⠰⠘⠆⠃⡶⡾⣟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⠧⣆⡉⡁⠀⠥⢾⣿⣿⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡘⢪⠀⢈⡙⠟⠟⠺⠿⠿⣻⡿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⢀⠐⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡢⢈⠲⢔⡤⠀⠁⠀⠀⣀⣠⠤⠤ ⠀⠀⠃⠶⣆⢀⠀⠀⠆⠃⣻⣿⠷⢸⣿⢀⣰⠾⠛⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠑⠳⡀⣫⢿⣿⢷⣙⣿⣋⣀⠤⠤⠤⣀⠀⠀ ⠠⠠⠤⠤⠤⠶⠴⣼⠯⠛⣔⣻⡲⣿⣻⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠀⠄⠐⡿⡂⢠⠇⢃⢡⣾⣦⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠘⠰⠸⠄⡷⣿⣿⡿⢿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⡇⢆⠰⠘⠆⠃⡶⡾⣟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⠧⣆⡉⡁⠀⠥⢾⣿⣿⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡘⢪⠀⢈⡙⠟⠟⠺⠿⠿⣻⡿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⢀⠐⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡢⢈⠲⢔⡤⠀⠁⠀⠀⣀⣠⠤⠤ ⠀⠀⠃⠶⣆⢀⠀⠀⠆⠃⣻⣿⠷⢸⣿⢀⣰⠾⠛⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠑⠳⡀⣫⢿⣿⢷⣙⣿⣋⣀⠤⠤⠤⣀⠀⠀ ⠠⠠⠤⠤⠤⠶⠴⣼⠯⠛⣔⣻⡲⣿⣻⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠀⠄⠐⡿⡂⢠⠇⢃⢡⣾⣦⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠘⠰⠸⠄⡷⣿⣿⡿⢿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⡇⢆⠰⠘⠆⠃⡶⡾⣟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⠧⣆⡉⡁⠀⠥⢾⣿⣿⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡘⢪⠀⢈⡙⠟⠟⠺⠿⠿⣻⡿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⢀⠐⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡢⢈⠲⢔⡤⠀⠁⠀⠀⣀⣠⠤⠤ ⠀⠀⠃⠶⣆⢀⠀⠀⠆⠃⣻⣿⠷⢸⣿⢀⣰⠾⠛⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠑⠳⡀⣫⢿⣿⢷⣙⣿⣋⣀⠤⠤⠤⣀⠀⠀ ⠠⠠⠤⠤⠤⠶⠴⣼⠯⠛⣔⣻⡲⣿⣻⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠀⠄⠐⡿⡂⢠⠇⢃⢡⣾⣦⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠘⠰⠸⠄⡷⣿⣿⡿⢿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⡇⢆⠰⠘⠆⠃⡶⡾⣟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⠧⣆⡉⡁⠀⠥⢾⣿⣿⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡘⢪⠀⢈⡙⠟⠟⠺⠿⠿⣻⡿