⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠄⠒⠂⠀⠈⠀⠐⢒⡤⠄⠘⠂⠈⠉⠉⠠⠔⠋⠉⠀⠀⠀⠀⠀⠉⠐⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⣀⣄⡀⠀⠀⠀⠶⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠒⠊⠣⡀⠀⠀⣣⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠂⠹⣟⠀⡨⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⢨⡷⣤⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠊⠀⢰⣉⠆⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢔⣉⡆⠀⠀⠣⣠⡶⡑⡼⢢⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠢⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⡼⠁⠀⠡⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠊⠀⢠⠃⠀⠀⠀⠀⠀⠀⡇⠀⠀⡄⠀⠀⣄⠀⡾⡀⠀⠀⠀⡇⠀⠀⠀⠀⠘⡆⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠊⠀⡔⢂⠇⠀⠀⢀⠀⠀⠀⢸⢸⠠⠞⠃⠀⠀⠛⡤⡇⡇⠀⠀⢠⡇⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠄⠀⠇⠸⠀⠀⠀⢸⡀⠀⠀⢺⠈⡄⠀⠀⠀⠀⠀⢠⠁⢰⠀⠀⢸⠇⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠘⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠰⡇⠀⠀⠀⡈⢹⠀⠀⣼⡀⢱⠀⠀⠀⠀⠀⣼⣀⢸⠀⠀⡆⢸⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⢹⠢⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⣒⣷⠀⠀⠀⡇⠀⢱⣴⣿⠋⠀⢳⠀⠀⠀⢀⠋⣙⣿⣶⣼⡀⠸⠀⠀⡸⠀⠀⠀⡇⠀⠀⠀⠀⠀⡆⠡⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣔⠔⠀⡊⢸⡀⡀⠀⣇⣴⢟⣿⣾⣿⣆⠀⢣⠀⠀⡎⣾⣟⣿⣼⣏⠙⢿⣦⡠⠃⠀⢀⣀⣔⡀⠀⠀⠀⠀⢱⠀⠡⠀ ⠀⠀⠀⠀⠀⠀⢰⠂⠀⠀⢑⣸⠹⡧⡀⣿⠁⣸⠟⠛⠛⡻⠀⢠⡑⡜⠀⢟⠉⠉⠉⣻⡀⢺⠟⡇⢶⠭⠥⠤⣾⠀⠀⠀⠀⠀⠈⡄⠀⢡ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣸⠭⠭⣸⠚⠀⢊⣒⠒⠊⠁⠀⠚⠓⠛⠀⠀⠉⣭⢹⣁⠩⠔⠚⠓⠚⠛⠛⠣⢧⣇⠀⠀⠀⠀⠀⢱⠀⠀ ⠀⠀⠀⠀⠀⢀⡠⠄⠂⠉⢁⠼⡒⠈⠑⠠⠤⣈⣉⣀⣀⣀⣀⣀⣀⣀⣀⣀⠄⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠈⠆⠀ ⠀⠀⠀⡠⠂⠁⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⡇⢠⠠⠄⠂⠤⠐⡘⢓⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠼⡆⠀⠀⠀⠀⠘⡀ ⠀⡠⠚⠠⢄⡀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⡇⢂⢐⣈⣔⣆⠡⠐⡼⠐⠒⠂⠤⣀⠀⠀⢀⠠⠤⠀⠒⠈⣉⠀⠤⠐⢻⣀⠀⠀⠀⠀⠡ ⢀⠯⡀⠀⠀⠈⠑⠢⡀⠀⠀⢀⠠⢇⢰⡀⠀⢗⡩⢣⠜⡠⢷⢈⡐⣇⣀⠀⠀⠀⠀⠉⠒⢄⡂⠀⠈⠉⠀⢀⡠⣄⡀⣸⠈⠢⣀⠀⠀⠘ ⠘⠰⡄⣱⣢⣄⠀⠀⠈⣂⣔⠥⠒⠉⠺⡙⢠⢼⠰⡡⢊⠾⣉⢢⠄⠳⠠⡍⠁⠒⠠⠄⣀⠀⢀⠦⢤⣒⣊⠭⠝⠓⠉⠀⠀⠀⠈⠂⢤⠂ ⠀⠀⠀⠁⠑⠐⠉⠂⠚⠉⠀⠀⠀⠀⠀⠀⢸⠌⡑⢆⡩⣼⠚⠤⣜⡠⠁⠜⡉⡖⠚⢒⠡⠉⠅⢂⠳⢀⣀⡲⠾⠂⠀⠀⠀⠀⠀⠀⠀⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢎⠱⡨⡐⣽⣉⣐⡆⠀⠉⠉⠒⢻⠨⠤⢂⣉⡐⠂⡧⠤⠤⠤⠔⠂⠀⠀⠀⠀⠀⠀⢠⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⡜⠰⣁⠖⡠⢯⡱⠀⠀⠀⠀⠀⢸⠠⠄⠁⠀⠀⠀⠈⢐⣒⣒⠲⠇⠀⢀⣀⠤⢶⢤⠜⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠬⣑⠢⢌⡑⢢⡇⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠈⠒⠒⠒⠒⠉⠁⡇⢎⠼⠧⣀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠨⡑⠤⠓⣌⠸⢄⡇⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢆⠪⡑⠤⠀