⠀⣀⣀⣠⣤⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⣿⣿⣿⣿⣟⡻⢛⢷⢥⣂⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⣢⣼⠾⠟⣉⣱⣿⣿⣿⣶ ⠀⠘⢿⣿⣿⣿⠋⠉⠉⠀⠉⠙⠲⢑⢄⠀⠀⠀⠀⠀⢀⢔⠩⠖⠋⠀⠑⠛⠛⠛⠛⢻⡿⠃ ⠀⠀⠀⢙⣿⣿⣦⡀⡀⠀⠀⠘⠀⡄⡁⢒⠀⠀⠀⠔⠂⡄⠀⠀⠀⠀⠀⢀⣰⢎⠌⠏⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⣷⠀⠁⠀⠀⠀⠠⠈⠠⢡⠀⡐⢀⠈⠀⠀⠀⠁⠀⠁⢎⣼⠺⡜⠀⠀⠀ ⠀⠀⠀⠀⠙⠿⣿⣟⣧⡐⡀⠀⠀⠀⠐⠠⠀⠛⠁⠢⠀⠁⠀⠀⠀⣐⡨⢦⢏⠏⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠃⠙⢁⢲⠶⠂⠀⠀⠀⡄⠀⠀⠀⠀⠒⡰⠊⠁⠒⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⠏⠀⠀⠀⠀⠀⠀⠡⠄⠀⠀⠀⠀⠀⠑⣱⢤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣶⡀⠀⠀⠀⠀⠄⢎⣣⢀⠀⠀⠀⠀⡠⢇⢎⡿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⡿⢭⣴⢀⠤⢊⠼⠀⠩⢦⡐⠌⣠⢶⠾⡥⣜⡏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡷⢾⣿⣈⣜⣭⠆⠀⠀⠶⣉⡞⣯⣎⢶⣹⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⡿⢿⠟⠛⠀⠀⠀⠀⠀⠑⠳⠦⠿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠐⠀⠀⠀⠈⠀⠀⠀⠀⠀⠑⠀⠀⠀⠂⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡢⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡔⠁⢀⣾⣡⡋⠜⡱⢒⣄⠀⠀⠀⠀⢀⡤⢲⡜⡩⢉⡳⣷⠀⢁⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡌⠀⠀⠀⢿⢣⢟⡞⣲⠅⠊⣿⣋⡾⣞⡍⠚⠉⢴⠫⣟⡽⣿⡀⠀⢾⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠂⠀⠀⠀⣼⣋⠮⠜⠁⣚⡡⣿⣽⣻⣝⢦⢌⠀⠣⡑⢢⢟⡟⠁⠀⠸⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠃⠀⠀⠀⠀⣿⣼⣲⣭⣟⣷⡿⠟⠛⠛⠛⢿⣯⣷⢧⣖⡼⣯⣟⠠⠀⠀⠛⣄⠀⠀⠀⠀ ⠀⠀⡀⠉⠀⠀⠀⠀⠀⠘⠻⠻⠛⢙⡁⠀⠀⠀⠀⠀⠀⠀⠙⡻⢿⣿⣿⠏⡐⠀⠀⠀⠈⠓⢂⠀⠀ ⡠⠊⠀⠀⠀⠀⠀⠀⠀⡼⠷⠦⠖⠋⠉⠒⠒⠊⠉⠁⠚⠒⠛⠛⢷⣤⣧⡜⣠⠁⠀⠀⠀⠀⠀⡹⡄ ⣇⡀⠀⢀⣀⣀⣄⣤⡜⠁⢠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⠀⠈⢷⣄⠻⣴⣤⣀⠀⣀⣘⡞ ⠈⠙⠿⠾⠟⢿⣿⢏⠀⠀⢾⣿⡟⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢈⡟⣻⣿⠉⠛⠛⠛⠉⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⢀⠉⣀⠀⠀⠀⠘⣂⠞⠀⠀⠀⠀⢈⢛⢁⣠⣾⣾⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠋⠀⠈⠈⢻⣶⣿⣶⣴⠖⠉⠀⠀⠉⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⢠⠃⠀⠉⠉⣆⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠤⠤⠼⠃⠀⠀⠀⠀⠘⠧⠤⠤⠼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀