⠀⠀⠀⠀⠀⠀⣀⡤⠤⠖⣒⠒⠦⠤⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡔⠫⠔⡠⢍⢒⣤⠽⠒⠛⠉⠉⠙⠒⠠⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡞⡄⢣⠑⣌⠶⠋⠀⢀⡠⠔⠒⠉⠉⠉⠉⠉⠙⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡴⢳⡱⡈⢦⠟⠀⠀⡠⠊⠁⠀⠀⠀⠀⠀⠀⠀⡔⠉⠉⠒⡄⠀⠀⠀⠀⠀⠀ ⡰⢋⠰⠹⣍⣳⡏⠀⢀⠎⠀⢀⡤⠤⠤⢄⡀⠀⠀⢸⢰⣿⢱⡀⠈⡄⠀⠀⠀⠀⠀ ⠛⠋⢹⣿⣷⣿⡇⠀⢸⠀⡰⣡⣶⠦⡀⠀⠙⡄⠀⠘⡜⢿⡿⠁⢀⠇⠀⢀⣀⡀⠀ ⠀⠀⠈⢮⡛⠿⣧⠀⢸⠀⢇⣿⣿⣶⡇⠀⠀⡹⠀⠀⠈⠒⠤⡔⠁⠀⠀⠘⡜⡜⡄ ⠀⠀⢠⠺⣝⣳⣮⣇⠀⢣⠘⢮⡙⠉⠀⣀⠴⠁⠀⠀⣀⡼⡙⡍⢢⣀⣀⣠⠇⣴⠃ ⢀⢴⡉⠓⠤⠤⡔⠁⢑⠢⠵⠦⢬⡭⣭⠥⡞⢏⠹⣭⠥⣗⣿⠘⡌⣇⣈⠥⠔⠁⠀ ⠸⡈⠑⠢⢤⠔⠁⠀⠘⡤⠤⠤⠚⣷⣻⠀⠣⡈⠢⣙⠶⣛⡽⢀⢣⠋⠉⠀⠀⠀⠀ ⠀⠈⠉⠉⠉⠀⠀⠀⠀⢟⠒⠒⢊⣹⡀⠀⠀⠈⠢⣀⡀⣀⣠⣯⡎⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠯⢍⣁⠤⠅⠀⠀⠀⠀⠀⠘⠛⠓⠉⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠤⠤⢀⣀⣀⠤⠤⠄⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠞⠁⠀⠀⠀⠠⠄⢠⠦⢶⣦⠄⣈⠳⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢦⡈⠛⢮⣑⢄⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⢫⡣⡱⡌⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠄⢧⠹⡌⢆⠘⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠞⣶⠹⡄⢱⢌⡱⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠃⠇⢃⢸⡀⢹⡦⣉⡉⠐⠢⢄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣷⡀⠀⠸⡴⢸⢸⡇⢸⡇⠀⣿⠉⢲⣄⠳⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⢣⢸⡤⡆⢀⡇⢀⡟⡄⠀⣾⠀⣇ ⠀⠀⠀⠀⠀⠀⠀⠀⢃⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⠟⠃⠀⠀⠸⡇⣇⡇⢸⡇⣼⣤⠁⣰⠟⠀⡟ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠱⡄⠀⠀⠀⠀⠀⠀⠈⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠋⠁⡀⣀⠈⠉⣉⣡⠤⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠘⢄⠀⠀⠀⠀⠀⠀⠀⠈⠁⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣆⡀⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⢀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡠⠔⠂⠉⠉⠉⠉⠁⠠⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣄⠹⢅⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠀⠀⠀⠀⠀⠢⣀⠀⠀⠀⠀⠀⠈⠓⠤⣀⣉⠑⠠⡀⠀⠀⠀⠀⠀ ⠀⠀⡞⢁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠚⠁⠀⠀⠀⠀⢠⠀⠀⠀⡇⠀⠀⠀⡠⣀⠀⠀⠀⠀⠈⠳⡘⢆⠀⠀⠀⠀ ⠀⡜⢀⠊⠀⠀⠀⢀⠤⠀⠀⠀⠀⠐⠈⠀⠀⠀⠀⠀⠀⠀⢈⠀⢸⣤⠈⠒⠀⠀⠃⠀⠉⠀⠐⠄⠀⠀⢱⠈⡄⠀⠀⠀ ⠀⠇⠸⠀⠀⠀⡰⠁⢠⡤⠒⠒⢲⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠈⠁⠒⠲⠒⠒⠉⠉⠈⡆⢐⠀⠀⠀⠀⣷⠀⠀⠀ ⠈⡄⢀⠀⠀⠀⡇⠀⡯⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⡠⠀⣰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠐⠀⠐⠀⡿⠀⠀⠀ ⠀⠙⢄⠑⠢⠀⠁⢀⠇⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠠⠤⠊⠁⠀⠀⠀ ⠀⠀⠀⠉⠒⠀⠐⠋⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⢀⠁⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠠⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠦⣀⠀⠀⠀⠀⠀⣠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀