⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢀⠀⠀⡀⠀⣀⠀⢀⢀⠄⡀⠀⡀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠄⠀⠂⠀⠂⠐⠈⠁⠁⠈⠀⠀⠀⠀⢸⡘⠐⠀⠁⠀⠀⠀⠀⡈⢀⠀⠀⠈⠩⠀⠈⢀⣀⣀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠀⠀⠀⠀⠀⠀⢀⡀⡄⢂⠠⢄⠀⢀⡤⠁⠀⠀⠀⠀⠀⡰⠉⠎⠁⠂⡁⠠⠀⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⢠⡀⠀⠀⠀⠀⠨⠀⠀⠀⠀⢠⢈⠃⠁⠈⠀⠉⠹⡄⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⡦⣴⡃⠎⠈⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡸⠁⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⡍⡁⢘⡇⠀⠀⠀⠀⠅⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⡅⣷⠅⡁⡉⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⡇⠀⢠⡴⢔⣂⡀⠀⠀⢈⠀⠀⠀⠀⣇⡅⠈⠃⠀⠀⠀⣠⠁⠀⠀⠀⠀⠀⠀⠀⠱⠠⢠⠀⠄⢄⡂⠜⠀⠠⠀⠀⠀⢤⣀⣠⡠⡀⠀ ⠀⡃⠀⢹⣠⠀⠀⡇⠀⠀⠀⠄⡀⠄⠀⠣⣝⡄⢄⢄⣄⠎⡁⠁⠀⠀⠀⠠⠆⡀⠀⠀⠀⠈⠀⠁⠀⢀⠀⠀⢘⠀⠀⠀⠀⠀⠀⠘⡄⡀ ⠀⢇⡂⠀⢀⢀⡐⠃⠀⠀⠀⡚⠀⠀⣀⠀⠀⠀⠈⠉⠠⡄⠀⠀⠀⠀⠈⠀⠜⠁⠀⠄⠄⠀⠀⢀⠄⠁⡀⠀⠐⠀⢐⠉⢃⢡⠀⠀⢘⡀ ⠀⠀⠁⠉⠉⠉⠀⠀⠀⠀⠀⡃⠀⢁⠠⢒⠂⠀⣀⠄⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⢈⢀⠐⠄⢶⠌⠀⠀⢨⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠺⢀⣀⡠⣠⠆⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠄⠀⠀⠀⠀⢐⠀⠀⡁⠂⠤⠄⠂⡋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠍⡌⠄⡄⡙⡇⠀⠀⠀⠓⠄⠄⠠⠠⠠⠠⠀⠄⠄⠤⠤⠃⠀⠀⠀⠀⠀⠀⢀⡆⠀⠈⠉⠉⠉⠁⠀⠀ ⠀⠀⠀⠀⠀⣀⠖⠉⠁⠀⠀⠀⠉⠚⠘⠗⢺⢄⢀⠀⣀⣀⡀⡀⠀⡀⢀⣀⡀⠠⠀⠄⠂⠂⠀⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⣒⠒⠒⠒⡐⠔⠂⠒⠒⠒⠂⠒⠚⠒⠚⠂⠂⠒⠒⠒⠒⠒⠦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠂⠁⢘⣣⠆⠁⠀⡀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠐⠈⠀⠀⠀⢹⠀⢠⠔⠁⠀⢀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡋⠀⡅⠄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⠄⠁⠀⠀⠀⠀⠀⠀⣸⠰⠃⠀⡠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠂⡀⠏⢈⠂⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⡀⠀⠃⠀⠅⠓⠦⠩⠠⠤⠄⠤⠤⠤⠠⠤⠤⠀⠄⠄⠄⠒⠒⠂⠒⠊⠉⠹⣠⠁⡀⠁⡴⢈⠑⢢⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⡂⠀⠀⠀⢠⠨⠀⠡⠀⢡⠒⡒⠒⠐⠂⠒⠒⠒⡆⠀⠀⠀⢀⡀⡀⡀⣀⠠⠄⠀⢀⠀⠀⣏⠄⠐⠡⠡⠍⢀⠅⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⢊⡀⢀⡂⢸⡰⠁⠀⠀⠀⠀⠀⢀⠃⠀⠀⠀⠨⠀⢀⡼⠁⠀⠀⠀⢈⠀⠀⡶⢁⣌⠈⠠⠇⡎⠀⠀⠀⠀ ⠀⢀⠀⠀⣀⣀⢤⣯⢖⢆⣒⡒⠓⠃⠁⣸⠃⡠⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠰⠊⠀⡐⠊⠀⠀⠀⢨⠀⠀⠘⠒⠒⠒⠋⠉⠀⠀⠀⠀⠀ ⠀⢼⠀⠀⠑⠛⠽⡓⣌⡿⠮⠇⢠⠃⠀⢸⡜⡀⠀⠀⠀⠀⠀⡅⠀⠀⠀⠀⢸⠖⠁⡀⠈⠀⠀⠀⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⣺⡄⢠⡤⢄⢤⡔⠶⣾⡂⡐⠀⠀⠀⠧⠴⠥⢀⢀⣀⣀⡸⠀⠀⠀⠀⠀⠈⠒⠚⠐⠂⠂⠀⠂⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢃⠾⢼⡉⣥⡏⠟⠝⠍⢼⡟⠷⡕⣄⣀⢀⡀⠠⠀⠄⠐⡂⠲⠒⠒⡦⣲⣶⣿⣇⠷⣔⢲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡯⠿⠮⠳⠻⠛⠟⠳⠠⠪⠽⠿⠯⠟⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠑⠐⠏⠃⠔⠔⠒⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠒⠔⠔⠃⠏⠐⠑⠀⠀⠀⠀⠀⠀⠀⠀⣄⠲⠟⠯⠿⠽⠪⠠⠳⠟⠛⠻⠳⠮⠿⡯⢠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⣔⠷⣇⣿⣶⣲⡦⠒⠒⠲⡂⠐⠄⠀⠠⡀⢀⣀⣄⡕⠷⡟⢼⠍⠝⠟⡏⣥⡉⢼⠾⢃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠂⠀⠂⠂⠐⠚⠒⠈⠀⠀⠀⠀⠀⡸⣀⣀⢀⢀⠥⠴⠧⠀⠀⠀⡐⡂⣾⠶⡔⢤⢄⡤⢠⡄⣺⠠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠀⠀⠀⠈⡀⠁⠖⢸⠀⠀⠀⠀⡅⠀⠀⠀⠀⠀⡀⡜⢸⠀⠃⢠⠇⠮⡿⣌⡓⠽⠛⠑⠀⠀⢼⠀ ⠀⠀⠀⠀⠀⠉⠋⠒⠒⠒⠘⠀⠀⢨⠀⠀⠀⠊⡐⠀⠊⠰⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⡠⠃⣸⠁⠃⠓⡒⣒⢆⢖⣯⢤⣀⣀⠀⠀⢀⠀ ⠀⠀⠀⠀⡎⠇⠠⠈⣌⢁⡶⠀⠀⢈⠀⠀⠀⠁⡼⢀⠀⠨⠀⠀⠀⠃⢀⠀⠀⠀⠀⠀⠁⡰⢸⡂⢀⡀⢊⠀⠀⠀⡀⠸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠅⢀⠍⠡⠡⠐⠄⣏⠀⠀⢀⠀⠄⠠⣀⡀⡀⡀⢀⠀⠀⠀⡆⠒⠒⠒⠂⠐⠒⡒⠒⢡⠀⠡⠀⠨⢠⠀⠀⠀⡂⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⢢⠑⢈⡴⠁⡀⠁⣠⠹⠉⠊⠒⠂⠒⠒⠄⠄⠄⠀⠤⠤⠠⠤⠤⠤⠄⠤⠠⠩⠦⠓⠅⠀⠃⠀⡀⠀⠀⠀⠀⠁⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⠂⢈⠏⡀⠂⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⡠⠀⠃⠰⣸⠀⠀⠀⠀⠀⠀⠁⠄⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⠄⡅⠀⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⢀⠀⠁⠔⢠⠀⢹⠀⠀⠀⠈⠐⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⡀⠀⠁⠆⣣⢘⠁⠂⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠦⠒⠒⠒⠒⠒⠂⠂⠚⠒⠚⠒⠂⠒⠒⠒⠂⠔⡐⠒⠒⠒⣒⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⡴⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠀⠂⠂⠄⠀⠠⡀⣀⢀⡀⠀⡀⡀⣀⣀⠀⢀⢄⢺⠗⠘⠚⠉⠀⠀⠀⠁⠉⠖⣀⠀⠀⠀⠀⠀ ⠀⠀⠁⠉⠉⠉⠈⠀⡆⢀⠀⠀⠀⠀⠀⠀⠃⠤⠤⠄⠄⠀⠠⠠⠠⠠⠄⠄⠓⠀⠀⠀⡇⡙⡄⠄⡌⠍⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡋⠂⠄⠤⠂⡁⠀⠀⢐⠀⠀⠀⠀⠄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠆⣠⡠⣀⢀⠺⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⢨⠀⠀⠌⢶⠄⠐⢀⢈⠀⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠄⣀⠀⠂⢒⠠⢁⠀⡃⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀ ⡀⢘⠀⠀⢡⢃⠉⢐⠀⠐⠀⡀⠁⠄⢀⠀⠀⠄⠄⠀⠁⠜⠀⠈⠀⠀⠀⠀⡄⠠⠉⠈⠀⠀⠀⣀⠀⠀⡚⠀⠀⠀⠃⡐⢀⢀⠀⡂⢇⠀ ⡀⡄⠘⠀⠀⠀⠀⠀⠀⢘⠀⠀⢀⠀⠁⠀⠈⠀⠀⠀⡀⠆⠠⠀⠀⠀⠁⡁⠎⣄⢄⢄⡄⣝⠣⠀⠄⡀⠄⠀⠀⠀⡇⠀⠀⣠⢹⠀⡃⠀ ⠀⡀⡠⣠⣀⢤⠀⠀⠀⠠⠀⠜⡂⢄⠄⠀⢠⠠⠱⠀⠀⠀⠀⠀⠀⠀⠁⣠⠀⠀⠀⠃⠈⡅⣇⠀⠀⠀⠀⢈⠀⠀⡀⣂⢔⡴⢠⠀⡇⠠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡉⡁⠅⣷⡅⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠅⠀⠀⠀⠀⡇⢘⡁⡍⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠁⡸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠈⠎⡃⣴⡦⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⡄⠹⠉⠀⠈⠁⠃⢈⢠⠀⠀⠀⠀⠨⠀⠀⠀⠀⡀⢠⣠⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠀⠠⡁⠂⠁⠎⠉⡰⠀⠀⠀⠀⠀⠁⡤⢀⠀⢄⠠⢂⡄⡀⢀⠀⠀⠀⠀⠀⠀⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⣀⣀⢀⠈⠀⠩⠈⠀⠀⢀⡈⠀⠀⠀⠀⠁⠀⠐⡘⢸⠀⠀⠀⠀⠈⠁⠁⠈⠐⠂⠀⠂⠀⠄⡠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⡼⠀⠀⠀⠀⠀⡀⠀⡀⠄⢀⢀⠀⣀⠀⡀⠀⠀⢀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀