⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣀⡀⠀⠀⠂⠒⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠠⠒⠉⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠁⠉⢦⠀⠀⠀⠀⠀⠀⠀⠓⡄⠀⠀⠀⠈⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠂⡀⠀⠀⠀⠀⠀⠀⡖⡅⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣄⠀⠀⠀⠀⠀⠈⠓⢄⡀⠀⠀⠀⠐⠖⠒⠒⠒⠒⠐⠑⠐⠢⡎⠀⠀ ⠀⠀⠠⠃⢀⠃⠀⠀⠀⠀⠀⡐⡱⠁⠀⢰⠋⠲⠖⢦⠀⠀⠀⠈⢢⠀⠀⠀⠀⠀⠀⠀⠀⢙⠆⠀⠀⠀⠐⡄⠀⠀⠀⠀⠀⢄⠀⠀⠀⠀ ⠀⠀⡃⠠⠂⠀⠀⠀⠀⡀⠊⡠⠃⠀⢀⠇⠀⠀⠀⠀⡇⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠙⡀⠀⠀⠀⠀⠟⡄⠀⠀⠀⠀⠀⠐⠀⠀ ⠀⠀⡇⠂⠀⠀⠀⡔⠃⢠⠋⠀⠀⢀⠇⠀⠀⠀⠀⡰⠃⠀⠀⠀⢠⠃⠑⠦⡀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⡇⢆⠀⠀⠀⠀⠀⠀⠈⠀ ⠀⠀⡃⠀⠀⠀⡞⠀⠀⠈⡇⣀⠔⠃⠀⠀⠀⠀⡖⠁⠀⠀⠀⢠⠃⠀⠀⠀⠀⠑⢆⠀⠀⠀⠀⣿⠀⠀⠀⠀⢸⠀⠈⠑⢄⠀⠀⠀⠀⠀ ⠀⠔⠀⠀⠀⡎⢲⣤⠤⢿⣄⡀⠀⡄⠀⠀⡎⠀⠀⠀⢀⢍⠎⣠⣤⣤⣀⡤⠀⠹⡀⠀⠀⡇⠈⠣⡀⠀⠀⠀⡂⠀⠀⠀⠁⠢⡀⠀⠀⠁ ⠀⡅⠀⠀⠀⢇⡀⢇⠀⠀⣿⣿⠑⡎⠃⠀⡇⠀⠔⠁⠴⢳⠋⠸⠿⠇⠀⡏⠀⠀⡇⠀⠀⡇⠀⠀⠀⠣⡄⠀⠘⢆⡀⠀⠀⠀⠇⠀⠀⠈ ⠀⠇⠀⠀⠀⡀⣡⡌⠻⠤⠤⠔⠋⠙⠂⠀⠙⣎⠒⠚⠓⠤⠤⠤⠚⠁⠀⠀⠀⠀⠓⠤⣧⡀⠀⠀⠀⣠⠇⠀⢓⠀⠉⠢⡀⠅⠀⠀⠀⡀ ⠀⠇⠀⠀⠀⠙⠻⡙⣄⠀⠀⠊⠉⡠⠤⠄⠀⠀⠃⠀⠀⠐⠒⠒⠂⠂⠀⠀⠀⠀⡴⠋⠉⠀⠉⣸⠊⠀⠀⠀⠀⠇⠀⠀⠀⠈⢻⡀⠀⠠ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠙⢦⣀⢰⠁⠀⠀⠀⡴⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠊⠁⠀⣀⠊⠁⠉⠀⠀⠀⠀⠀⠀⠀⢃⠀⠀⠀⠀⠀⠃⠀ ⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⠙⡇⠀⠀⠀⠀⠀⠀⡴⠒⠒⠒⠉⠀⠀⢀⡔⠋⢁⠖⠀⠀⠀⠀⠀⠀⡃⠀⠀⠀⠘⠄⠀⠀⠀⠀⠀⠀ ⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⡹⡀⠀⠀⢀⠞⠁⠀⠀⠀⠀⢀⠤⢊⣧⡶⢿⡇⠀⠀⠀⠀⠀⠀⠰⠁⠀⠀⠀⠀⡃⠀⠀⠀⠀⠀⠀ ⠀⡃⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠙⢮⣓⣤⣼⣷⡧⣒⡦⢶⢵⢿⣝⣞⣋⣳⠃⠀⠀⠀⠀⠀⢠⡃⠀⠀⠀⠀⢀⡅⠀⠀⢀⠤⠒⠀⠀ ⠀⡃⠀⠀⠀⠀⢇⠣⠀⠀⠀⠀⠀⠀⠀⠀⡽⣾⢫⣦⢮⢿⡟⠧⣿⣽⡛⢗⠻⡗⠀⠀⠀⠀⢀⢞⣹⡀⠀⠀⠀⠀⡻⠉⠁⠀⠀⠀⠀⠀ ⠀⠅⠀⠀⠀⠀⡇⠀⠸⡀⠀⠀⠀⠀⠀⠀⡇⠛⢿⠪⡅⣥⢨⣧⣟⡿⣽⣑⣿⣵⠀⠀⠀⠀⣛⡟⠳⠑⡄⠀⠀⠰⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⡃⠀⠀⠀⠀⠈⣆⠀⡃⠀⠀⠀⠀⠙⡟⠀⠀⠀⠉⠙⠒⢯⡭⠿⠧⠞⠛⠉⠛⠑⣄⠀⠀⢙⡇⠀⠀⠉⠢⣰⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⡂⠀⡤⠤⠴⡷⠀⠆⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⠀⣻⡸⢠⢃⠆⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⠆⠀⢠⠃⠀⠀⠢⡀⠀⢐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠋⠁⠀⣖⠩⠯⠒⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡸⠁⠀⢠⠃⠀⠀⠀⠀⠀⠑⠼⣆⠀⠀⠀⠀⠀⣀⡤⠊⠁⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠰⠁⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠤⠃⠁⠀⠀⡤⠊⠁⠀⠀⢀⡀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡠⠃⠀⠀⡊⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⡤⠔⡲⠉⠀⠀⢠⠖⠚⠁⡇⠀⠀⠑⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⠰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢫⡀⣸⠀⢀⠇⠀⠀⡞⠁⠀⠀⠀⠀⠳⠤⣄⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⠼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀