⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⡞⠁⠀⢰⠁⠀⠀⢸⣠⡖⡯⠵⡦⡄⠀⢸⠀⠀⠀⡇⠀⠀⠀⡇⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢸⠀⠀⠀⡜⠀⠀⠀⠀⡯⠂⠛⢯⣭⠔⣃⣸⠀⠀⠀⡟⠀⠀⠀⡇⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⠤⣄⡇⠀⠀⢠⠇⠀⠀⠀⠈⠑⠢⠤⠤⠬⠵⠃⠀⠀⠀⠀⡇⠀⠀⠀⡇⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠦⠎⠀⠀⠀⢼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠸⡖⠉⠁⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⡀⡀⡀⠄⠤⠤⠤⠠⢀⣀⠀⠀⠀⠈⢇⡈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠒⠃⠁⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠢⠽⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠉⠀⠀⠀⠀⢠⠔⠊⠉⠉⠲⠄⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⢈⠙⢦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⣁⡤⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⢤⡀⠀⠀⠀⠀⠀⠤⠊⠁⠈⢣⠀⠀⠙⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡴⠃⠀⢇⠀⠀⠀⠉⠑⠢⣀⠀⠀⡎⠉⠳⠀⠀⠀⠀⠚⠀⠀⠀⢧⠀⠀⠀⠃⠁⡴⠃⡀⠀⠀⡇⠀⠀⠘⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⡇⠀⢄⠹⡕⠒⠦⠁⢸⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⢀⡜⠀⠀⠠⠚⢡⠇⣼⠀⠀⢠⠃⠀⠀⠀⠸⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⢧⠀⠹⡀⠙⠦⡀⠀⠑⠒⠁⣠⠴⠒⠲⢄⠀⠉⠁⠀⠀⠀⠀⠀⠀⠃⠀⢇⠀⡞⠀⠀⠀⠀⠀⠸⡀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠱⡀⠱⡄⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠙⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠁⠀⠀⠀⠀⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠑⠤⠁⠀⠀⠀⠀⠀⠀⡇⠀⠀⠤⠤⠤⠤⠼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀ ⠀⠀⠀⠀⠀⠀⢣⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⡎⠀ ⠀⠀⠀⠀⠀⠀⢸⡀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⡎⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣇⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠂⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠃⠀⠀⠀⠀⡴⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠔⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢦⠔⠩⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡇⣌⠉⢷⢦⣄⣀⣄⠤⠖⠂⠂⠂⠂⠇⠐⠐⠐⠐⠐⢳⡒⣂⣒⣂⣊⡉⠩⠁⡥⢘⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⠞⢝⣃⠏⢱⣬⠉⡇⠀⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⡜⢧⣘⡗⡂⠢⠆⣠⠃⠙⠄⠥⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡎⠁⠨⠈⠸⡕⠋⡿⡿⠁⡠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣥⠭⡍⠂⢾⠯⠎⢂⠈⠽⠀⡱⡄⠀⠀ ⠀⠀⠀⠀⡔⠋⡃⡠⡋⣈⡮⠥⡾⠁⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡢⠹⠆⠇⠴⡷⣽⣄⠑⠇⠀⠋⡀⠅⠀ ⠀⣀⣴⠋⠀⡨⡒⠆⡟⢙⡁⠪⡢⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢫⡃⠡⠅⠀⠈⠁⢣⡁⠔⢀⡣⠱⡏⣿ ⠿⠋⢙⠷⠮⠓⠣⠀⢤⡍⠔⡍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡀⠉⠫⣫⣗⠈⠱⣁⠨⣙⣯⡍⠹ ⠒⢂⡕⠁⠀⠘⡊⣨⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠧⠋⠀⠁⠃⠁⠉⠁⠀⠃

⠃⠀⠁⠉⠁⠃⠁⠀⠋⠧⠀⡀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠔⣨⡊⠘⠀⠁⡕⢂⠒ ⠹⡍⣯⣙⠨⣁⠱⠈⣗⣫⠫⠉⡀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡍⠔⡍⢤⠀⠣⠓⠮⠷⢙⠋⠿ ⣿⡏⠱⡣⢀⠔⡁⢣⠁⠈⠀⠅⠡⡃⢫⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠖⡢⠪⡁⢙⡟⠆⡒⡨⠀⠋⣴⣀⠀ ⠀⠅⡀⠋⠀⠇⠑⣄⣽⡷⠴⠇⠆⠹⡢⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠔⢀⠁⡾⠥⡮⣈⡋⡠⡃⠋⡔⠀⠀⠀⠀ ⠀⠀⡄⡱⠀⠽⠈⢂⠎⠯⢾⠂⡍⠭⣥⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡠⠁⡿⡿⠋⡕⠸⠈⠨⠁⡎⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⠥⠄⠙⠃⣠⠆⠢⡂⡗⣘⢧⡜⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡸⠀⡇⠉⣬⢱⠏⣃⢝⠞⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⢘⡥⠁⠩⡉⣊⣂⣒⣂⡒⢳⠐⠐⠐⠐⠐⠇⠂⠂⠂⠂⠖⠤⣄⣀⣄⢦⢷⠉⣌⡇⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣇⠩⠔⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠦⠙⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠔⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠀⡄⠹⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠁⡴⠀⠀⠀⠀⠃⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢸⠀⠂⠒⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢹⠀⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡎⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⡀⢸⠀⠀⠀⠀⠀⠀ ⠀⡎⠀⠀⠀⠀⠀⡀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢣⠀⠀⠀⠀⠀⠀ ⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠤⠤⠤⠤⠀⠀⡇⠀⠀⠀⠀⠀⠀⠁⠤⠑⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⡇⠀⠀⠀⠀⠀⠀⠁⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠙⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⡄⠱⡀⠱⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⡀⠸⠀⠀⠀⠀⠀⡞⠀⢇⠀⠃⠀⠀⠀⠀⠀⠀⠁⠉⠀⢄⠲⠒⠴⣠⠁⠒⠑⠀⡀⠦⠙⡀⠹⠀⢧⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀ ⠀⠀⡄⠸⠀⠀⠀⠃⢠⠀⠀⣼⠇⢡⠚⠠⠀⠀⡜⢀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠦⠒⡕⠹⢄⠀⡇⠀⠀⠀⠁⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡄⠘⠀⠀⡇⠀⠀⡀⠃⡴⠁⠃⠀⠀⠀⢧⠀⠀⠀⠚⠀⠀⠀⠀⠳⠉⡎⠀⠀⣀⠢⠑⠉⠀⠀⠀⢇⠀⠃⡴⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡆⠙⠀⠀⢣⠈⠁⠊⠤⠀⠀⠀⠀⠀⡀⢤⡠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢄⡤⣁⠞⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⢦⠙⢈⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠄⠲⠉⠉⠊⠔⢠⠀⠀⠀⠀⠉⠖⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠽⠢⠑⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠁⠃⠒⡤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠉⡈⢇⠈⠀⠀⠀⣀⢀⠠⠤⠤⠤⠄⡀⡀⡀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠁⠉⡖⠸⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⠀⠀⠀⠎⠦⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡇⠀⠀⠀⡇⠀⠀⠀⠀⠃⠵⠬⠤⠤⠢⠑⠈⠀⠀⠀⠇⢠⠀⠀⡇⣄⠤⢼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡇⠀⠀⠀⡟⠀⠀⠀⣸⣃⠔⣭⢯⠛⠂⡯⠀⠀⠀⠀⡜⠀⠀⠀⢸⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⢸⠀⠀⡇⠀⠀⠀⡇⠀⠀⠀⢸⠀⡄⡦⠵⡯⡖⣠⢸⠀⠀⠁⢰⠀⠁⡞⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀