⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢹⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⡜⠁⢀⣀⡀⠀⠀⡧⡽⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⡇⠀⠀⠀⠀⡎⠁⠀⠀⠀⠀⠀⢰⣃⠙⣕⢄⡀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠊⠏⠭⢧⡀⠀⢠⣏⣄⣠⡶⠀⠀⢀⡎⠦⣀⡍⠉⠂⢉⡇⠀⠀⠘⠁⠀⠁⠁⠄⠤⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠁⠓⠊⠉⠀⠉⢹⡏⡋⡏⠁⠀⠀⠈⢙⠉⠉⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠉⢲ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⣰⡟⠧⠿⠼⣤⠒⢦⣠⠀⢀⠤⡇⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠴⠚⢯⠉⠁⠁⠀⠉⠉⠉⠙⠋⠃⠸⠄⣀⡈⣇⠀⠀⡇⠀⡊⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎ ⠀⠀⠀⠀⡤⠂⠻⢤⡀⠀⢀⡗⠉⠑⠒⠂⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠋⢽⠃⠀⠀⠀⠀⠀⡐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠃ ⠀⠀⡠⠏⠀⡴⠋⠁⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⣈⠉⠃⣄⠀⠀⠀⠀⡴⢣⣀⣸⣀⠀⠀⠀⠀⡐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏⠀ ⠀⢀⡇⠀⡼⢁⣀⣀⣠⡴⢾⢯⢭⠉⠒⠋⠉⠘⣆⣀⡀⠀⠀⢙⣤⠴⠃⠀⠀⡏⠀⠀⢠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠋⠀⠀⠀ ⠀⡏⠀⡞⠁⡸⡏⠁⢈⠷⠻⡜⠻⡛⠀⠀⠀⠀⠀⠉⠉⣇⣴⠋⠁⠀⠀⢀⡎⠀⠀⡐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀ ⢠⠇⡏⠀⢠⠏⡇⣶⠟⢲⣤⡟⢻⠁⠀⠀⠀⠀⠀⠀⠉⠛⠙⣧⣄⡷⠋⡏⡠⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠃⠀⠀⠀⠀⠀ ⡼⠀⡧⠀⠈⡇⠈⠙⡍⠉⡷⡤⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⣻⣿⡤⠒⡏⢓⠢⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠃⠀⠀⠀⠀⠀⠀ ⢫⠀⠉⠓⢆⢹⡀⠀⣸⡋⣧⠉⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠁⣿⠀⡇⠀⣁⡣⠔⠚⠁⠀⠀⠀⠀⢀⡔⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣇⠀⠀⠀⢧⠹⣥⡏⢨⠟⡖⠄⠬⠷⠽⠵⠦⢤⠒⠑⠢⣇⠀⠀⢘⠗⣟⠉⠀⠀⠀⠀⠀⠀⠀⣠⠴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⡄⠀⠀⠀⢳⣧⡨⢍⣀⠙⢦⣀⠀⠀⢀⠤⡸⠀⠀⡇⠀⠀⢀⡏⠀⡏⡧⠤⠤⠤⠤⠖⠐⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⠄⠀⠀⠀⠉⣆⠀⠀⠉⢇⠀⠈⡡⠑⠃⠀⠁⠦⠇⠀⠀⡎⠀⣠⠃⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠢⡀⠀⠀⠀⠉⠓⠂⠺⠲⠃⢀⡀⠀⠀⠀⢀⡠⠴⠋⠀⡞⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⡰⠁⠀⢣⠀⢀⡤⢼⢀⣀⠤⠠⠤⠤⠠⠤⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⡆⠤⢤⠢⠤⠤⠤⠖⠒⠈⠉⠁⠀⠀⠀⠀⠯⠥⠤⠤⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠤⠤⠤⠼⠒⠤⡤⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠒⠒⠒⠒⠒⠒⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠙⠢⠤⠤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀