⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⣤⣤⣤⠤⠤⢤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠚⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠒⢄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠃⠀⠀⠀⠀⢠⣤⠀⠀⠀⠀⠀⣶⠆⠀⠀⠀⠀⢸⡗⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⠈⠉⠀⠀⠀⠂⠀⠀⠀⠀⢀⠀⠁⠀⠀⠀⠀⠀⢀⠀⡸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠲⢤⣄⣐⡀⢀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⣀⣀⣀⣤⠤⠚⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢏⠌⡘⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⢌⢘⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠔⡐⡐⡘⣷⡀⠀⠀⠀⠀⠀⠀⢰⡏⠌⡐⠠⡘⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠏⠌⡂⡂⠔⢐⢘⣧⣀⣀⣀⣀⣀⣠⡟⠄⠅⡂⠅⡂⢻⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠴⡋⠌⡂⡂⢄⢑⠐⠄⣺⠩⢉⣿⠩⢉⣿⠠⢑⠐⠄⠅⡂⡙⢧⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⢋⢂⠂⠅⡂⠔⡐⢐⠨⢐⠻⠨⠐⣿⠨⠰⡟⠨⢐⠨⠨⢐⢐⠠⠡⠙⢷⡄⠀⠀⠀ ⠀⠀⢠⡿⢁⠂⠔⠨⠰⡚⢛⣿⠙⠙⡂⡊⠌⡨⠐⡨⢐⢘⠋⠉⣿⠉⠉⣳⠨⢐⠡⢁⢻⡄⠀⠀ ⠀⠀⣼⢃⠂⣅⣡⣡⠡⠩⠩⢉⠍⠍⡂⡂⠵⣿⡿⡂⡂⡊⢛⠛⡛⡛⢋⢁⣂⠢⠨⢐⠘⣧⠀⠀ ⠠⠶⣿⠟⡛⡋⠍⡉⡂⠅⠅⡂⢌⢐⢐⢐⠨⣸⡐⡐⢐⠐⠄⠅⡂⠂⠅⡩⠩⠩⢙⢙⢻⡿⠒⠀ ⠀⠀⢹⡐⡐⣠⡡⠦⠢⢁⢊⢐⠐⡐⠠⢂⠚⠅⡹⠠⠡⠨⠨⠐⠄⠅⠅⠍⡓⠳⢔⡐⣼⠃⠀⠀ ⠀⠀⣤⠷⣏⠕⠨⠨⠨⢐⠐⡐⠨⠠⢑⠠⠡⠥⠂⠌⢌⠨⢈⠌⠌⡨⠨⢐⠠⠡⣁⣾⠓⠢⠀⠀ ⠀⠀⠀⠀⠈⠓⢧⣅⡊⡐⠨⠠⠡⢁⠢⠨⢐⠁⢅⢑⠐⠨⢐⠠⡁⠢⠨⢐⣨⡴⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢉⣽⠃⠅⠳⠾⠴⠬⠬⠴⠬⠴⠤⠮⠼⠶⠖⡒⠅⡑⢿⡉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⠃⠅⠅⡑⠨⢐⠁⠅⠅⡡⢁⠊⠌⡨⠐⠡⠠⡁⡂⡉⢿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⠣⠡⢁⠅⡂⡑⠠⠡⡁⠅⡂⠂⢅⢁⠂⠅⠅⠅⡂⠔⣠⣉⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⡏⢛⠡⢁⣆⠢⠨⢈⢂⠂⠅⡂⡑⡐⠠⠡⢁⢊⢺⠠⠡⢉⠍⢻⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⣇⣡⡨⢀⣿⠈⠌⣐⡠⠮⠴⠴⠴⠤⣅⡑⡐⡐⢸⠨⠨⠴⣬⣼⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣏⣐⣠⣂⡂⣏⣼⣋⣁⣀⣀⣀⣀⣀⣀⣀⣈⣑⣦⣹⣨⣠⣡⣐⣈⡧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀