⠀⢠⣤⡄⠀⣀⣀⡀⢠⠓⠒⠂⢠⡤⠄⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣁⣀⡨⢳⠫⣉⡁⢰⣉⡭⠄⠸⡦⣤⡄⡂⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀ ⠙⠂⢄⢀⠈⣤⡄⡄⡄⢄⠄⡤⡠⣠⢐⣐⡆⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⠀⠀⠀⠀⠀⠀⠀⠀⡂⠀⢀⠀⠀ ⠀⣀⣤⣄⣄⡄⣄⣄⡀⡀⡀⡀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣼⡦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⡉⠉⠀⢠⠒⢀⡄⠀⠖⢇⠁⡔⢴ ⠀⡇⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠈⠉⠙⢯⡇⠀⠀⠀⠀⠀⠀⣀⠗⢛⠒⢄⠀⠀⠀⠀⠀⠀⠀⠀⠓⠁⠑⠂⠑⠒⠂⠣⣀⡇⠀⢑⠧⠜ ⣼⡧⠄⠅⠴⠅⠎⠲⠘⠰⠃⠗⠟⡥⢤⣀⡇⠀⠀⢀⠂⡨⠖⠋⠀⠀⠁⠀⠐⠄⠤⣖⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢁⠅⡚⠂⣂⣐⠀⡔⡠⠂⡤⢠⠤⣀⣀⠠⡅⠀⣰⠟⣉⠭⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠉⠪⣙⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢔⠀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠅⠅⡂⡲⠋⡉⢀⡀⠀⠀⠀⢀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠓⣆⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠐ ⡇⠈⠏⠃⠉⠉⠉⠉⠉⠁⠉⠁⠁⠒⠗⡗⠀⠏⡸⡞⡟⣁⡶⠒⢋⡟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠅⠀⠀⠀⠀⠀⠀⣀⠄⠂⠀⠀ ⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢐⡳⡏⠀⣯⠿⠒⠒⢿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡥⠀⠀⠀⠀⢠⠋⠁⠀⠀⠀⠀ ⡂⡠⠔⠲⣆⣄⢄⠠⡀⣀⣀⠆⣂⡆⡢⡇⣿⣇⣇⡞⠁⢀⡀⠀⠀⣧⠙⣆⠀⠀⣠⣖⣄⠀⠀⠀⠀⠀⣏⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠀ ⣒⠁⠀⢸⡀⡅⠈⠀⠁⢭⠋⣇⠀⠀⠀⡇⢿⡏⢻⠁⢸⠋⣈⡉⠁⣿⡷⣪⣆⠀⣟⣿⣿⡷⠀⠀⠀⠀⣯⡀⠀⢠⠋⠀⠀⠀⠀⠀⠀⠀ ⡷⣀⢀⡀⣱⠖⠔⠐⡒⣷⡆⣚⡃⢀⣰⠃⢸⣷⣞⣧⡼⠭⠥⠇⡔⡏⡱⠈⠓⠀⠀⠉⠁⠁⠀⠀⠀⠀⢈⣉⣽⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠗⠋⠉⠉⠚⠮⡀⠁⠀⡠⡛⠟⠙⡟⠫⣒⠈⣇⠬⡫⠫⠦⣶⠿⣎⡗⠃⠀⠀⠀⠀⠀⠀⣀⠔⢂⡤⠀⠘⢋⠷⡄⠀⠀⠀⠀⠀⠀⢠⠆ ⡇⠀⠀⠀⣀⠎⠁⠀⠀⢿⡀⠀⠀⠈⢀⡺⠂⠟⣿⠒⠒⢋⣹⠴⠋⠀⣀⠀⢀⡀⠀⠀⠀⠀⠈⠁⠀⠀⡠⢃⣈⣾⠀⠀⠀⠀⢀⠂⠁⠀ ⠙⠳⠶⠞⠁⠀⢗⠀⡀⠀⠁⠑⠙⠊⠋⠀⠈⡕⠊⠙⠲⡄⣀⡀⠀⠀⠘⠲⠞⠁⠀⠀⠀⠀⠀⢀⣄⣔⠃⡻⠊⠁⠀⠀⡠⠊⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⡂⣇⠀⠀⠀⠀⠀⠀⠀⡠⠓⠓⠒⠂⣮⣵⣮⣭⣥⣉⣁⣁⣁⣁⣁⣩⣝⠋⠹⣒⠒⡊⡃⠀⡀⠄⠁⠀⠀⠀⠀⢀⡴ ⠀⠀⠀⠀⠀⠀⠀⠈⣔⡀⠀⠀⠀⠀⠀⠐⡷⡒⡄⣴⣞⣃⣀⣀⠀⠀⠀⠀⠈⠈⠀⠁⠉⠉⠙⢦⣏⠁⠀⡀⠆⠁⠀⠀⠀⢀⠠⡪⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡯⡄⠀⠀⠀⠀⠈⠅⠀⠀⠟⡏⠀⠈⠁⠉⠁⠉⠉⠉⠉⠛⠓⠛⠛⠒⠒⠿⡷⡖⠁⠀⠀⠀⣀⡦⠗⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠀⠀⠀⠀⠅⡃⠀⠀⠨⡇⠀⠀⠀⠀⣀⡴⠀⣠⠔⠖⠲⢲⠞⠃⠀⠀⠖⠰⣀⡠⠔⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠀⠀⠀⡅⠅⠀⠀⢸⠁⠀⠀⢀⠴⢁⣳⣊⠥⠤⠴⣾⡥⣀⠀⠀⠀⠝⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡥⠀⠀⡦⠁⠀⠀⣫⠀⠀⢀⡆⣡⡞⠛⠂⠒⠒⠒⣄⠙⡗⢧⡀⠀⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⡏⠀⠀⠀⣯⡩⣇⢸⣳⡏⠀⠀⠀⠀⠀⠀⠀⠱⣘⡄⢣⡀⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣯⠂⠹⡼⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠧⣷⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⢏⡆⠀⠈⠉⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠈⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀