⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢔⠖⣪⠇⠄⠄⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⡷⡫⠂⠁⠀⠀⠀⠀⠀⠀⠑⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠑⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠅⠠⠄⡀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠴⢺⠟⠉⠉⠒⠒⠛⠻⢗⣆⠀⠀⢇⡁⠑⢄⡀⠀⠱⢀⠂⡹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⠁⠀⣾⠞⠁⠀⠀⠀⠀⠀⠀⠀⠑⠀⠂⣙⣦⠀⠀⠁⠨⠀⠀⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡟⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠫⣍⠉⠉⠉⠀⠀⠀⠀⠀⡀⠀⠠⠉⠠⣀⢀⣄⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣔⡏⠀⠀⣠⣤⢤⣶⣀⠀⠀⠀⠀⠀⠀⠸⡁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢸⠏⠀⠀⡾⠋⠀⠁⠀⠈⢫⣢⡀⠀⠀⠀⠄⠁⠑⠂⡄⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⠣⠄⠀⢼⠃⠀⠀⠈⠀⠀⠀⢡⠇⠀⠀⠀⠀⠀⠀⠀⣀⣠⡵⠔⠢ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢬⡃⠠⠁⠀⢴⡳⠀⠀⠄⠀⠀⣠⠃⠀⢠⢴⡖⣰⡾⢍⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡡⡇⠀⠀⠀⠀⠀⠻⢥⣤⠤⠶⠊⣱⣶⢿⠛⢿⢴⠓⠒⢋⡧⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⡟⠀⠀⠀⠀⠀⠀⠀⠀⡤⠤⠞⣫⡅⠊⢀⣠⡄⡬⣁⣅⠟⠢⡄⣣⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⢀⣀⣤⡎⠗⡛⢧⠂⠁⢀⣇⢖⡋⠀⠀⠀⠛⢗⡄⠀⠈⢎⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢇⡤⡖⣾⣽⡽⡗⡈⠀⠀⠙⡃⠀⣾⡇⡾⠀⠀⠀⠀⠀⠸⢹⠀⠀⢀⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⠻⠛⠋⠪⢠⡧⠑⠈⠳⢆⡀⠃⣨⠾⠋⡟⠀⠀⠀⠀⡀⢆⡝⠊⡠⠊⢑⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⡏⠉⠳⡄⠀⠀⠀⠀⠀⠈⡏⠀⠀⠀⠈⠀⠉⠉⠃⠀⢷⡂⠒⠒⢺⢟⠁⣀⠎⣂⡴⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⡇⠀⠀⠀⠀⣰⣼⡄⠀⠀⠀⠀⠀⠀⢀⣀⠤⡖⣯⣋⣋⣥⡪⠕⠊⠉⠀⢳⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠃⠀⢰⠁⠀⠀⠀⡆⠁⢹⣕⣀⣀⠔⠂⢁⡱⡰⠀⡏⠁⠀⠀⠀⠀⡁⠀⠀⠀⠀⠤⢳⣎⠢⡀ ⠀⣠⠖⠉⠈⠀⢨⠀⠸⠀⡇⠀⡌⠀⠀⠐⡫⠉⠉⠉⠉⠀⠀⠘⠂⠇⠀⠀⠀⠀⠀⡂⠀⠀⠀⠀⠀⠀⡿⡅⠇ ⠀⣣⣤⣀⠤⠤⠞⠁⠀⠀⡇⢰⢙⠀⢀⣜⠀⠀⠀⠀⠀⠀⠀⠀⣰⡓⠀⠀⠀⠅⠀⠀⠀⠀⠀⠀⠀⠀⡇⣸⣇ ⠀⣇⠀⠀⠀⠀⣀⠄⠀⠀⣧⠇⠀⠀⡰⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡧⠀⢀⠀⠁⠂⠀⠀⠀⠀⠀⡀⠀⢳⠓⣿ ⠀⣈⠓⠒⠖⠉⠀⠀⠀⠀⣫⠇⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⡆⠅⠀⢀⠀⠀⠀⠀⠀⠈⠀⡀⠀⢸⠱⢿ ⠸⣄⣀⣀⣀⠤⠋⠉⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠼⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠅⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⡅⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⡇⠀⠰⠀⠀⠀