⠀⢀⣴⡶⠿⠷⠒⠒⠚⠛⠛⠛⠛⠛⠛⠛⠻⠿⠦⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢷⣦⡀⠀⠀⠀⠀ ⣾⠟⠛⠛⠛⠛⠛⠛⢶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠖⠛⠛⠛⠚⠻⠷⣶ ⡏⠀⠀⢀⣠⣤⣄⡀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⢀⣀⣀⡀⠀⠀⢻ ⡇⠀⠀⢸⣿⣿⣿⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⣿⣿⣿⣷⠀⠀⢸ ⡇⠀⠀⠈⠛⠛⠛⠁⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠻⠿⠿⠏⠀⠀⢸ ⢻⣦⣤⣤⣤⣤⣤⡤⠾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣀⡀⠀⠀⣀⣀⣀⣿ ⠀⢸⣿⠀⠀⠀⠀⢰⠶⠦⢤⣤⣤⣄⣀⣀⣀⣀⣀⠀⠀⠈⠉⠉⠉⠉⠉⢹⣿⠋ ⠀⢸⣿⠀⠀⠀⠀⢸⠀⠀⢸⠇⠀⠀⠸⡏⠉⠉⣹⠀⠀⠀⠀⠀⠀⠀⢠⣿⠏⠀ ⠀⠀⣿⠀⠀⠀⠀⢸⡄⠀⣾⠀⠀⠀⠀⣧⠀⢀⡿⠀⠀⠀⠀⠀⢀⣴⡿⠁⠀⠀ ⠀⠀⣿⠀⠀⠀⠀⠈⢷⣀⡏⠀⠀⠀⠀⣿⢀⡾⠃⠀⣀⣠⣴⡾⠟⠉⠀⠀⠀⠀ ⠀⠀⣿⡇⠀⠀⠀⠀⠀⠙⠷⣤⣀⣀⣠⣼⣿⣷⡶⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⢠⠴⠟⢻⣿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠻⣷⣤⣀⣀⣀⣀⣀⣠⣤⣶⡻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠒⣆⠀⠀⠀⠀⣀⡤⠒⠊⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢀⠀⠁⠁⠒⠄⣄⡀⡀⠀⢀⣀⣠⠖⠉⠀⠀⣸⡠⠠⠒⠉⠁⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡂⡆⠀⠀⠀⠀⠀⢀⡜⡒⠁⠁⠁⠀⡏⠉⠃⠶⡯⣄⠀⠀⠀⠀⠀⠀⡂⠀⠈⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡂⢸⠀⠀⠀⠀⢀⣎⡊⢱⠀⠀⠀⠀⡇⠀⠀⠀⠈⠊⡇⠀⠀⡀⠀⠀⠄⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⡀⡇⠀⠀⠀⡎⡔⠧⢅⡀⠤⠤⣄⣇⣀⣀⣀⣤⣾⠱⢦⢭⢧⡀⠀⢅⡠⡆⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠘⣄⠱⡏⠓⢒⡏⠀⣤⣊⡀⠀⠀⢐⠘⡄⢀⠊⠀⠀⡂⢸⣂⡀⡇⡘⠁⡠⠂⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⡜⠃⠅⠀⢈⣟⣡⡟⠁⠀⠉⠒⠄⡆⠉⣓⡒⣦⣤⣧⣪⠲⠾⣉⠀⠀⠓⡆⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠈⣆⡅⠀⠘⣷⡈⠁⢀⡄⠀⠀⠈⠇⠚⠀⠀⠀⠀⠃⡜⠀⠀⠈⠳⡉⠁⢀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⠀⠀⠐⡄⠀⡽⠛⠀⠀⠳⡀⠀⣗⠒⠲⣤⣂⡴⠂⠀⠀⢀⠜⠀⠀⣀⣀⣤⡧⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣔⠽⠢⡄⠀⠑⢦⣇⣀⣀⠀⠀⢈⡑⠈⠭⣅⣀⣀⣀⣀⣀⠴⠑⠒⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡧⠤⠤⠝⣊⡇⠀⠀⡠⢲⠉⠉⠉⠀⠀⢸⠀⢸⠀⡀⡀⡉⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠔⠒⠄⠈⠱⡂⠀⠀⠀⣎⣂⡴⠒⠃⠀⠀⠀⠀⠀⢈⡧⠌⣾⠋⠉⢒⡷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡁⠀⠈⡀⠄⠀⢃⠀⠀⠀⢀⠉⠂⠀⠀⠀⡀⠤⠊⠉⠀⢀⠏⠓⠤⡜⠀⠧⣄⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠆⠤⠈⡂⠀⠀⠀⡂⠀⠀⠐⠬⡿⠁⠀⡤⠳⡀⠀⠀⠀⠈⣀⠀⣀⣧⡀⠀⠀⢰⠑⠒⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠃⠀⠀⠀⡂⠀⠀⠀⠀⢜⠀⠐⠓⡄⢂⠀⠀⠀⠀⡏⠉⠁⡇⠙⠶⣄⣐⡀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡅⠀⠀⢀⠁⠀⠀⠀⠀⢚⠀⢀⡔⠃⢰⠀⠀⠀⠀⢣⠀⠀⣇⠀⠀⠀⢘⠀⠓⢲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡈⢁⠀⢀⡊⠇⠀⢀⡀⠀⣍⡔⣗⠀⠻⡍⠉⠀⠀⠀⠘⡄⠀⣸⠀⠀⠒⡞⠒⠂⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠄⠠⣀⠤⠀⠈⠦⠇⠘⠒⠇⡐⠈⢂⠀⣈⠄⠀⠀⠀⠀⠳⠞⠁⠀⠀⢸⠁⠉⠀⠅⠈⠀⣩⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢎⡀⣀⣅⠹⠃⠀⠀⠀⠀⠀⠂⡂⠀⠰⡏⠀⠈⣃⠀⠀⠀⠀⠀⠀⠀⠀⣸⠅⠀⢐⠀⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠄⠂⠀⡈⠀⠀⠀⠀⠀⠀⠁⡂⠀⠀⢈⡇⠀⢨⢇⠀⠀⠀⠀⠀⠀⢀⡏⠁⠀⠘⠀⠉⡉⡈⠈⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⢇⡠⠄⠦⡀⠀⠀⠀⠀⠀⠈⢅⢠⣒⡁⣙⡀⠀⣿⠀⠀⠀⠀⠀⠀⣸⠂⠀⠀⠀⠀⠀⢠⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠀⡅⠂⠀⠀⠀⠀⠀⠀⠀⠙⠤⠄⢂⠇⢀⡷⠀⠀⠀⠀⠀⠀⠼⡄⠀⢀⡠⠐⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠑⠧⠠⡀⠀⠀⡀⠀⠐⢀⢀⢤⣣⡊⠝⠃⠀⠀⠠⡀⠀⠀⠀⠙⠓⢯⠁⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡠⡁⠠⠀⠐⠁⠁⠈⠈⠈⠀⠀⠀⣀⣣⡀⠀⠀⠀⠀⠑⠄⠀⠀⠀⠀⠯⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠂⠢⠄⠀⠀⠀⠀⠑⡄⠀⠀⠀⠸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀