⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡖⡄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠈⠍⠏⡂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠞⠉⢡⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⠀⠀⠀⠑⠂⡀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠆⠋⠁⠀⠀⠀⢈⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⢸⠀⠀⠀⠀⠀⠁⡁⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣴⠦⠖⠋⠅⢀⡀⠀⠀⠀⠀⠀⡁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⡡⢠⠖⠀⠀⠀⠀⠀⠀⠔⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡁⡂⠚⠀⠀⠀⠀⡌⠁⡂⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠄⡀⡀⠂⢅⠀⠀⠀⠀⠀⠀⠀⠈⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠤⡨⡀⠁⠀⠁⠀⠀⡐⠁⠀⣨⡄⠤⡄⠀⣠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠂⢠⠒⠀⠀⠁⠐⠊⠀⠀⠀⠀⠀⠀⠈⠡⠤⠠⠤⠠⠄⢂⠰⠒⠂⣁⠆⢁⠀⠁⠀⠀⡀⠎⠀⠀⠀⠀⠀⠀⠂⠀⣩⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠈⠸⠖⠀⠀⠀⠀⠀⠀⡀⠐⠀⠈⠈⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠞⠓⠉⠀⠂⠤⠀⠂⠁⠀⠀⠀⠀⠀⠀⢀⠁⠀⣐⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡁⡀⠀⢀⠀⠀⢀⠠⠐⠈⠀⠀⠀⠀⠀⠀⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠂⠂⡀⠀⠀⠀⠐⠂⠀⠀⠘⠀⠀⠀⠀⠀⠆ ⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢂⡀⠀⠀⠀⠀⠀⡛⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡄⠀⡀⠀⠁⠀⠀⠀⠀⢀⣀⡀⠄⠆⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡀⠀⠀⠀⢀⣭⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⡰⠃⠂⠀⠀⠀⠀⠀⠀⠀⠈⠐⠠⠀⡀⡀⡀⠄⡆⠀⢀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡀⠀⠠⠇⠈⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠄⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢑⠀⣔⢂⢀⣀⠄⢤⠀⠀⠀ ⠀⣄⡀⡀⠀⠀⠀⠁⠅⠀⢄⡠⠄⠄⠤⢤⣤⣔⣀⠀⠀⠀⠀⠀⠀⠀⡖⠁⠀⠀⣀⡤⣶⣖⢲⠉⠉⠉⠉⠒⠦⡀⠀⠀⢀⡀⠁⡇⣯⠁⠀⠀⠀⠨⠀⠀⠀ ⠀⠀⡃⠀⠈⡉⠁⡕⡯⣗⢟⠁⠀⠀⠀⠈⣾⠉⢽⡧⡀⠀⠀⠅⠀⠀⠀⠀⡀⡏⠁⡏⡗⡙⡞⠀⠀⠀⠀⠀⠀⠈⢦⡀⠀⠈⡂⣕⠛⠀⠀⠀⠀⠁⠀⠀⠀ ⠀⠀⠄⠀⠐⠀⢄⠎⡳⡇⠄⠀⠀⠀⠀⠀⢳⣆⡽⠃⡇⡀⠎⠀⠀⠀⠀⠀⠁⡇⠀⠙⣧⣿⡇⠀⠀⠀⠀⠀⢀⡠⠋⠁⠀⠀⠘⣭⠀⠀⠀⠀⡀⠁⠀⠀⠀ ⠀⠀⠀⠂⠀⠌⠆⢠⡏⣣⣀⠀⠀⠀⠀⠀⠀⠉⠀⢀⡗⠃⠀⠀⠀⠀⠀⠀⠀⠣⣀⡀⣀⣀⣀⣀⡠⠤⠔⠋⠁⠀⠀⠀⠀⠀⠈⣘⠀⠀⢀⠐⠀⠀⠀⠀⠀ ⠀⠀⠀⠡⡀⠄⠈⢀⡊⡊⠈⠛⠳⠶⠧⠤⠖⠒⠋⢁⣠⠄⠖⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣇⡰⢂⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡅⠒⢄⣅⣕⠀⠀⠀⠀⠀⠀⠀⢀⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⠅⠀⠀⠈⠂⠄⢄⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⠁⠅⠊⡇⡅⠀⠀⠀⠀⠀⠀⢘⡆⠀⠀⣠⣠⣤⣠⡠⣦⣖⡄⠀⠀⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡎⠔⠀⠀⠀⠀⠀⠀⣀⠷⠀⠀ ⠀⠀⡀⠀⠀⠀⠀⢐⡀⠈⢎⡂⠀⠀⠀⠀⠀⠘⡐⡀⠀⠋⠛⠛⠉⠉⠉⠉⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⣀⡤⠀⠀⠀⡀⠇⠘⠁⠀⠀⠀⠀⢀⠈⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡈⠀⢄⠀⠀⢹⡄⠀⠀⠀⠀⠀⢡⣑⡄⠀⠀⠀⠐⠄⠱⠑⠘⠀⡀⡆⡂⣂⠢⠒⠉⠁⠀⠀⠀⣠⣎⣈⡀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠁⢢⢙⣄⡀⠀⠀⠀⠸⡀⠀⡀⡠⠄⠁⠀⠀⠀⠀⡠⠞⠍⠉⠒⠢⠤⠤⠠⠄⠖⣋⡵⠈⠀⠈⠁⠁⠁⠁⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠒⠓⠒⠠⠀⡀⠀⠀⠀⠠⠠⢉⢫⠽⣯⠶⣯⡉⡀⣀⡀⣀⢀⡀⠤⠚⠃⠞⠀⠀⠀⢀⢀⠀⠄⠐⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠂⠐⠀⠄⠄⠔⠋⠀⠀⠁⠀⠀⠁⠁⠉⠀⠁⠀⠁⠀⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀