⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡧ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠤⠒⠚⠛⠓⠾⣧⠉⠓⢤⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡧ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠰⠒⠒⠒⠒⠒⠒⠒⠒⠛⠤⣀⠀⠀⠀⠀⠀⠘⢷⡀⠈⢷⡞⢷⠒⠒⠒⠒⠒⠒⠀⠀⠐⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠐⠀⠀⠀⠀⠀⠀⠀⣀⠤⠒⠒⠛⠳⠄⠀⠀⠀⠀⠃⠀⢸⠁⢸⣾⠀⠀⠀⠀⠀⠀⠀⠀⡧ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠐⠀⠀⠀⠀⠀⢀⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⡼⠖⠒⠢⡀⠀⠀⠀⠀⡗ ⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠐⠀⠀⠀⠀⠀⠨⠄⠐⠒⠒⠒⢒⡎⠘⠤⠔⠒⠒⠲⡒⠒⠔⠉⠀⠀⡄⠀⢻⠀⠀⠀⠀⡗ ⡿⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣸⠦⢤⣸⠀⠀⠀⠀⢣⠀⠀⠀⣴⡾⠃⠀⣾⠀⠀⠀⠀⡇ ⠅⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⢀⠀⠢⡀⠀⠀⠀⢸⣿⠿⠂⠀⠉⠳⢆⣿⠖⠒⠒⠦⣾⢤⡐⣄⣹⣶⣦⠞⠁⠀⠀⠀⠀⡇ ⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠘⠀⠀⠈⠢⡀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠙⢷⡒⠲⠴⢛⢸⡏⢹⣳⡄⢸⠀⠀⠀⠀⠀⠀⡇ ⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⢘⠀⠀⠀⠀⡃⠀⠘⣄⠀⠀⠀⠀⠀⣀⡟⠀⠉⠳⠬⢦⡿⠀⠀⣿⠶⡷⠖⠉⠁⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⢨⢀⠊⡇⠀⠁⠀⠀⠈⠑⠒⠒⣲⡺⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⣇⡾⠁⠀⠀⠀⠀⠀⠀⡏ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⢸⡸⢰⣁⣀⣀⣀⣀⣀⣀⣀⡴⠟⠁⠀⠀⠀⠀⠀⠀⢀⣀⣤⣿⣋⣁⣀⣤⣄⣀⣀⣀⣀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡅⢸⠇⡏⠉⡉⠉⠉⡉⠉⠉⠉⠙⠦⣤⠤⠶⡄⢀⡠⠞⡩⢙⢺⣍⡉⠍⡉⠉⢉⠩⢉⠍⢹⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡜⣸⠁⠣⠌⡄⠥⡙⢈⢄⠢⣉⠔⡠⢐⠠⣹⣫⣴⡵⢾⡛⢯⡙⣿⡌⠰⢈⠁⠎⡌⠜⣨⡗ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣗⣷⣧⡌⠱⣈⠰⣈⠉⡆⢌⠢⡁⠜⡤⢃⣾⣿⠳⡜⣜⣣⡟⢛⠛⠻⣿⣤⢃⠬⡑⢌⠒⣨⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣴⡾⠿⠛⠃⣻⡷⢶⣤⠡⠮⡐⢂⠥⡘⢨⠐⢡⣾⡿⢛⠛⣫⡟⡘⠤⢋⠱⣀⠻⣧⡒⢌⠢⡑⢨⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⣿⡄⡀⠀⢄⠸⣇⠔⢢⣹⣆⣥⣤⣥⣦⣥⣬⣴⣿⡟⣄⣣⡘⢸⣷⢁⡓⡌⠱⣀⠣⠙⣷⡈⢆⠱⢘⡇ ⠀⠀⠀⠀⠀⠠⠠⠄⠤⢼⣇⡢⣹⣇⣤⣤⠀⢧⠈⠛⢻⣿⠉⠉⠉⠉⠉⠉⠉⢉⣿⣻⣍⣿⣧⠁⢿⣧⠜⡄⠣⢤⡇⡉⢾⣗⡒⠒⠮⡏ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠋⠵⣈⢻⣧⡄⡆⠀⠀⣿⠛⠦⣄⣠⠤⠴⠒⣾⢿⣿⠍⣡⠂⡍⢸⣿⣷⢈⡑⢺⡕⡨⢆⣿⠓⠚⢺⣇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣾⠒⠶⢿⡟⠃⠰⠀⠀⠸⣇⠓⣌⡙⣻⣤⣾⢋⡌⢿⣎⠡⢎⠰⡁⣿⡎⠷⡈⠜⣇⠲⡀⣿⡀⢀⢠⡇ ⠀⠀⠈⠀⠉⠈⠉⠈⠉⠈⠉⠙⣧⣸⣰⡾⠁⠐⠀⣀⣠⢴⡯⢘⢄⡒⢄⢻⡁⠦⡘⢤⡿⣿⡀⠧⡐⢼⣧⠃⣍⠘⣧⠑⢢⢽⡅⢠⣾⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⠀⠉⢳⠿⠿⠿⠿⣟⡩⠰⡉⠆⡜⡠⢩⠐⣡⡾⠏⢀⠘⢿⡢⢑⠂⣿⡇⡄⢋⣿⠨⡑⣺⡇⣾⢹⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠈⠙⠓⠷⢮⡴⢵⣾⡿⠋⡁⠌⣀⠂⠙⣧⢣⢉⢼⡇⡜⠡⣿⠂⡵⢸⣇⣟⢨⡇ ⣀⣀⣀⣀⣀⣀⣠⣊⣀⣀⣀⣀⣀⣀⣠⣿⣀⣀⣀⣀⣀⣀⣀⣀⣸⣧⣬⣔⣤⣤⣤⣆⣤⣴⣈⣿⣦⣭⣼⣧⣬⣥⣿⣮⣴⣭⣿⣯⣼⡇