⠀⠀⠀⠀⢀⡠⠔⠒⢈⠉⠋⠁⠒⠢⢄⡀⠬⠤⢄⡀⢀⠤⠒⠂⠉⠉⠉⠐⠒⠤⣀⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠦⡀⣠⠞⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢬⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠐⡆⣶⢶⠀⠀⠀⠀⠀⣥⡷⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⣹⣿⣿⠀⠀⣛⡯⣋⢰⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡆⠀⠀⠀⠀⠀⣹⣿⣿⣴⣶⢟⣋⠇⢰⣶⡆⠀⣶⣶⣴⣶⣶⣦⠀⠆⠶⠶⡶⢆⡆⠀⠀⡮⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⡄⠀⠀⠀⠀⢸⣿⣿⠋⠙⣕⣦⡆⢸⣿⡇⠀⣿⣿⡏⢹⣿⣿⠀⠀⣀⣀⣔⡏⠃⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀ ⠀⠀⠘⢄⠀⠀⠀⢸⣿⣿⠀⠀⢩⣽⡇⣸⣿⡇⠀⣿⣿⡇⢸⣿⣿⠀⣯⣗⣝⣧⣶⡆⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣱⡟ ⠀⠀⠀⠈⢢⡀⠀⠈⠉⠉⠀⠀⠈⠉⠉⠈⠉⠃⠀⠋⠉⠁⠈⠉⠉⠀⠀⠀⠀⠀⣠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⢹ ⠀⠀⠀⠀⠀⠙⢧⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⣀⣠⠞⠁⠀⢀⣠⣀⠀⠀⠀⠀⠀⣤⢤⣼⢰⠒⣾ ⠀⠀⠀⠀⠀⠀⠀⠉⠲⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠁⠀⠁⠛⠒⠒⣲⠏⢁⣙⣷⠶⠒⢶⡄⠘⠶⠋⠈⠛⠁ ⠀⠀⠀⠀⠀⠀⠀⡀⠀⠈⠑⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢨⡿⠂⠀⠀⠀⠀⠀⣯⠀⢿⡿⠛⢴⡤⣼⡇⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠑⠢⢄⡀⠀⠀⣀⠤⠚⢁⡿⠁⠀⠀⠀⠀⠀⠀⠈⠛⠛⢷⣴⣾⡷⣀⡿⠀⠀⠀⠀⠸⣟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠉⠀⠀⠶⢾⡧⠄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠶⠶⢿⡅⣀⡀⠀⠀⠀⠙ ⠀⠀⣠⣾⠉⠉⣻⣦⡀⠀⠀⠀⢀⣤⡄⠀⢀⣤⣄⠀⢀⣾⠋⠙⢶⡀⠿⠃⠀⠀⠀⠀⠀⠀⣤⡤⠀⠰⢾⠿⢯⣝⣶⡶⣦⡀ ⠀⠀⣿⠸⣯⣉⡿⢘⡇⠀⠀⠀⣸⠇⣿⠿⢿⡃⣯⣀⡀⢻⣄⠐⢾⣇⣀⣤⣤⡘⠭⠇⠀⠀⠙⠁⢀⣐⡿⠦⠄⠙⣿⣻⡈⢷ ⠀⠀⠻⣴⣾⣋⣠⢞⡁⠀⠀⣼⠏⢺⡁⠿⢆⣿⠈⢿⣻⡄⠙⠷⣤⡟⠉⠛⠮⣿⣆⣠⣤⣤⣀⣠⡼⠟⠷⠄⠀⠀⢸⣿⡇⢸ ⢠⠞⠋⠛⣿⢹⡟⠉⠙⣦⠸⣏⡀⠈⠛⠒⠺⢟⣀⣸⣿⡇⢀⣤⣌⣳⣄⣀⣸⠇⠀⠙⣇⠀⢙⡇⠀⢀⣀⣀⣀⣴⠿⠿⠶⠞ ⠈⠳⠶⠶⣿⣸⠙⠶⠞⠁⠀⠉⠉⠉⠉⠛⠉⠉⠉⠉⠸⣷⡏⢀⣸⠟⠷⠾⠻⣦⣀⣀⣿⡴⠞⠛⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣍⣁⠀⠀⢀⣠⡴⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀