Iron-Man Emojis & Text

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠸⠿⠟⠻⠟⠻⠿⣿⣿⣿⢸⡇⢸⠻⡆⢸⡥⡟⠘⣷⣿⠀⣿⠘⢧⣈⠈⠉⠁⠀⠀⠀⠀⠀⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⢀⡀⠀⠠⢩⠀⣁⣾⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⣼⠒⡿⢸⡇⡿⠀⢿⡿⠀⣿⠰⣆⡼⠀⠀⠀⠀⠐⠶⠀⢀⠤⠄⠀⠀⡀⠀⣠⡤⠀⢀⡀⠀⠀⠀⠀⠀ ⠀⠀⠂⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⢀⠀⠀⡀⠀⡀⠀⡀⡀⠀⣴⣶⣶⣶⠂⠀⢀⡤⠐⣀⡄⠀⠂⠀⠢⠀⠀⠰⢻⡦⠀⠀⠀⠁⠒⠛⠛⠀⠀⠀⠀⠀⠀⢄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⢠⣼⡄⠀⠂⢀⣿⠆⣈⢳⣄⣸⣿⣿⣿⣤⣴⣧⣤⣤⠿⠧⣄⡀⠤⠟⠁⡀⢠⣾⣣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡄⠀⠉⠙⡒⣊⣍⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣖⣒⠂⠀⠀⡀⢁⣾⣧⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⣤⣄⣁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣦⣾⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⠌⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣫⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⣉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⢿⣿⣿⣿⣿⣿⣿⣿⠁⠚⣿⣿⣿⣿⣿⣿⠛⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠋⢻⣿⣿⣿⣿⣿⣿⡇⠀⠻⢿⣿⣿⣿⠟⠀⠁⢼⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⡇⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢘⣿⣿⣿⣿⡿⡿⢻⣄⡀⠈⠛⠋⠀⠀⠄⣾⢿⣿⣿⡿⣿⣿⢻⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⡇⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡿⠋⠁⠀⠑⠋⠁⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣁⡄⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⣛⠠⢀⠀⠀⠀⠀⠀ ⢸⡇⠛⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⡤⣀⣀⣀⣀⢀⠉⣀⣀⣤⣴⡴⣾⣶⡿⠛⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⢖⠉⠋⢩⣿⢖⢂⠀⠀⢀⡴ ⢸⠀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃⠈⢻⠿⣿⣿⠼⠛⠛⠉⠉⠉⠉⠉⢀⣴⠁⠀⠀⠀⠀⡠⠋⢄⣵⠟⠉⠀⠀⠀⠀⢀⠋⠀⣿⡗⠚⢁⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠷⣦⣄⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣴⣾⠁⠁⠀⠀⠀⠀⢰⠡⢢⡞⠁⠀⠀⠀⡀⠠⣌⠀⠠⣤⣿⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⣄⢠⣤⡄⢠⠀⡄⢠⡤⣄⠐⠀⣤⢠⡄⣬⠉⣠⡄⢠⡄⠀⢠⣤⡄⢀⣤⡌⠻⠀⠀⣠⢀⡀⠀⠀⠘⢠⣾⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠆⠆⡴⢄⠀⢀⡀⠀⢀⣀⠀⠀⠀⠀⠘⠧⣅⢸⡧⠄⢸⢷⡇⢸⡇⣿⠀⠀⣿⢾⡇⣿⡄⣿⢧⣿⡇⠀⠀⣿⠀⣸⣾⣿⠀⠀⠐⠙⠂⠀⠀⠠⣥⣿⣿⣿⡏⠉⠫⢿⣿ ⠀⠀⠀⠀⠈⠀⠁⠈⠀⠀⠉⠀⠙⠿⡿⢶⠀⠀⠸⠦⠟⠸⠷⠆⠸⠸⠇⠸⠧⠿⠀⠀⠿⠸⠇⠿⠃⠿⠸⠩⠇⠀⠀⠿⠀⠹⠭⠇⠀⠀⠀⠀⠀⠀⢠⡞⢿⣿⣿⣟⠃⠀⠀⢈⣹ ⢰⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣶⣶⣶⣶⣶⣶⣾⣷⣶⣶⣶⣷⣶⣶⣶⣶⣿ ⢸⣿⠡⣶⡄⣉⠓⡟⡙⠋⡙⣿⠁⣶⡄⣉⠛⢉⠋⢉⠛⢉⢻⡇⢴⣦⢋⡙⠋⢉⠈⢹⢀⠇⣤⢐⠀⠫⢹⠀⢸⢳⡦⠉⡟⠙⡋⠛⣉⠙⠉⠛⣉⠋⡉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣦⣤⣤⣿⣤⣧⣧⣄⣀⣿⣷⣤⣤⣿⣴⣤⣦⣾⣄⣀⣸⣷⣤⣴⣦⣴⣦⣴⣴⣤⣼⣦⣿⣤⣴⣤⣼⣤⣾⣦⣤⣶⣤⣦⣶⣄⣀⣰⣤⣶⣤⣦⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⡏⢹⣏⠽⣿⢭⣉⣉⣉⣩⣋⡈⣛⣁⣉⣽⣭⣿⡟⡀⡬⠩⢉⠍⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣴⣿⡿⠟⠛⠋⣽⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀ ⠀⠀⢀⣾⣿⠟⠁⠀⠀⠀⣼⣿⣿⠏⢸⣿⣿⡏⠻⣿⣷⡀⠀⠀ ⠀⢠⣿⡟⠁⠀⠀⠀⠀⣼⣿⣿⡟⠀⢸⣿⣿⡇⠀⠈⢻⣿⡄⠀ ⢠⣿⡟⠀⠀⠀⠀⠀⣼⣿⣿⡿⠀⠀⢸⣿⣿⡇⠀⠀⠀⢻⣿⡄ ⣸⣿⠇⠀⠀⠀⠀⣼⣿⣿⣿⠁⠀⠀⠘⢿⣿⡇⠀⠀⠀⠘⣿⣇ ⢿⣿⠀⠀⠀⠀⣰⣿⣿⣿⣇⣀⣀⣀⣼⣦⡙⠇⠀⠀⠀⠀⣿⡿ ⢸⣿⡇⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡦⠀⠀⠀⢸⣿⡇ ⠀⢿⣿⡀⣸⣿⣿⣿⠟⠉⠉⠉⠉⠉⣿⠟⣡⡆⠀⠀⢀⣿⡿⠀ ⠀⠈⠛⣰⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠠⠾⠿⠇⠀⣠⣿⡿⠁⠀ ⠀⠀⣰⣿⣿⣿⡟⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⡿⠋⠀⠀⠀ ⠀⣰⣿⣿⣿⡿⠰⠿⣿⣶⣶⣶⣶⣶⣶⣿⠿⠟⠉⠀⠀⠀⠀⠀ ⠀⠉⠉⠉⠉⠁⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣶⣶⣶⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⡿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⡏⢸⣿⣿⣿⣿⣿⣿⠛⢿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣼⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⡟⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠙⢿⣿⣿⣿⣧⡀⠀⠀⠀⠀ ⠀⠀⠀⢠⣾⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⡿⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠙⣿⣿⣿⣷⡄⠀⠀⠀ ⠀⠀⢠⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⡿⠁⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⡄⠀⠀ ⠀⢀⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⡀⠀ ⠀⣼⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣧⠀ ⢀⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡀ ⢸⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⢀⠈⠻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⡇ ⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⢸⣷⣄⠈⠻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇ ⢸⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣷⣄⠈⠻⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡇ ⠘⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠃ ⠀⢿⣿⣿⣿⡀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⡿⠀ ⠀⠘⣿⣿⣿⣧⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⠟⠉⣠⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⠃⠀ ⠀⠀⠹⣿⣿⣿⡧⠀⣼⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠋⠁⣠⣾⣿⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⠏⠀⠀ ⠀⠀⠀⠹⣿⡟⠁⣰⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢀⣴⣿⣿⣿⣿⠀⠀⠀⠀⢀⣾⣿⣿⣿⠏⠀⠀⠀ ⠀⠀⠀⠀⠘⠀⣰⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠛⠛⠛⠛⠛⠀⠀⢀⣴⣿⣿⣿⡿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡿⠁⢠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠃⢠⣿⣿⣿⣷⣶⣦⣤⣤⣄⣀⣀⣠⣤⣤⣴⣶⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠉⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠰⠿⠿⠿⠿⠿⠿⠿⠿⠏⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⎊ iron man ✪ winter soldier ✵ captain marvel ⧗ black widow ᗢ scarlet witch Ⓐ avengers ४ loki ➳ hawkeye ◊ vision ꘩ ant man ⍟ captain America ✇ hulk ۞ doctor strange ϟ thor

⠀⠀⠀⠀⠀⠀⢀⣤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⢤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡼⠋⠀⣀⠄⡂⠍⣀⣒⣒⠂⠀⠬⠤⠤⠬⠍⠉⠝⠲⣄⡀⠀⠀ ⠀⠀⠀⢀⡾⠁⠀⠊⢔⠕⠈⣀⣀⡀⠈⠆⠀⠀⠀⡍⠁⠀⠁⢂⠀⠈⣷⠀⠀ ⠀⠀⣠⣾⠥⠀⠀⣠⢠⣞⣿⣿⣿⣉⠳⣄⠀⠀⣀⣤⣶⣶⣶⡄⠀⠀⣘⢦⡀ ⢀⡞⡍⣠⠞⢋⡛⠶⠤⣤⠴⠚⠀⠈⠙⠁⠀⠀⢹⡏⠁⠀⣀⣠⠤⢤⡕⠱⣷ ⠘⡇⠇⣯⠤⢾⡙⠲⢤⣀⡀⠤⠀⢲⡖⣂⣀⠀⠀⢙⣶⣄⠈⠉⣸⡄⠠⣠⡿ ⠀⠹⣜⡪⠀⠈⢷⣦⣬⣏⠉⠛⠲⣮⣧⣁⣀⣀⠶⠞⢁⣀⣨⢶⢿⣧⠉⡼⠁ ⠀⠀⠈⢷⡀⠀⠀⠳⣌⡟⠻⠷⣶⣧⣀⣀⣹⣉⣉⣿⣉⣉⣇⣼⣾⣿⠀⡇⠀ ⠀⠀⠀⠈⢳⡄⠀⠀⠘⠳⣄⡀⡼⠈⠉⠛⡿⠿⠿⡿⠿⣿⢿⣿⣿⡇⠀⡇⠀ ⠀⠀⠀⠀⠀⠙⢦⣕⠠⣒⠌⡙⠓⠶⠤⣤⣧⣀⣸⣇⣴⣧⠾⠾⠋⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣭⣒⠩⠖⢠⣤⠄⠀⠀⠀⠀⠀⠠⠔⠁⡰⠀⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⢤⣀⣀⠉⠉⠀⠀⠀⠀⠀⠁⠀⣠⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠒⠲⠶⠤⠴⠒⠚⠁⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠬⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣦⠀⢀⣀⡀⢀⣀⠀⠀⠀⠀⠀⠀⠀⣴⠂⠐⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⡼⠿⠟⠚⠀⠷⢶⠄⠀⠀⠀⣼⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⣾⠀⠀⠀⣸⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⢰⣾⠂⢴⡿⠀⠀⢀⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⢴⠮⢿⢻⣷⣄⣀⣀⡶⠃⠀⢀⡾⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠊⢀⡜⠀⠀⠸⡈⣏⠉⠈⠙⠛⢿⣠⣾⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠊⠀⢀⠞⠀⠀⠀⢀⡇⠘⠢⢄⠀⡠⢶⣿⡁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⢀⠎⠀⢠⠃⢀⠎⠀⠀⠀⠀⠀⢰⣿⡀⢳⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⢻⠀⠀⡜⠀⣇⡎⠀⡎⠀⠀⠀⠀⠀⠀⠀⢸⡇⠘⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⢸⡀⢰⠁⠀⡟⠀⣸⠉⠉⠛⠳⠖⠀⠀⣠⣼⣿⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⢸⠃⡎⠀⡸⠀⢰⢿⣿⣿⣶⡆⠀⠀⢀⣾⣾⣏⡀⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢅⡞⡸⠀⢰⠁⠀⡸⠀⠉⠛⠋⠃⠀⠀⠸⠿⢿⠁⢱⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡞⢠⠃⢀⠇⠀⢠⠇⠀⠀⠀⠀⠀⠀⢀⠆⠀⡆⠀⢸⢿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠜⠀⠈⠀⡸⠀⠀⡼⠀⠀⠀⠀⢄⣀⣠⡤⠀⡼⠁⠀⢸⠘⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠎⣼⠀⠀⠀⠃⠀⠀⡟⢦⡀⠀⠀⠀⠀⠄⢠⡞⠁⡀⠀⢸⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢼⢰⠹⡀⠀⠀⠀⠀⢸⡦⠤⠼⠷⢤⣀⣀⡰⡏⢀⣧⡇⠀⣿⡄⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣜⡄⣧⠀⠘⠀⠀⠈⡄⠀⠀⢳⣾⠇⠀⣰⡠⠋⢁⠇⢚⣇⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢳⠋⣦⠀⠀⠀⠀⠱⡀⠀⠀⠙⣇⠚⠋⢀⡠⠊⠀⡰⠋⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢐⣶⠟⠛⠋⠳⣄⠀⠀⠀⣑⢤⡀⠀⣈⠟⠚⡟⠲⠶⣎⣀⠀⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡶⠟⠦⣄⠀⠀⠀⠀⠉⠉⠉⠀⢠⡈⠈⠀⠀⠀⣿⠀⠀⠈⢇⠹⣷⠀⠀⠀⠀⠀⠀ ⠀⣠⠯⢄⡀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⡏⠀⠀⠀⢸⡀⢸⢇⠀⠀⠀⠀⠀ ⢠⡇⠀⠀⠈⠑⠠⣀⠀⠑⡄⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⡇⠀⠀⠀⠀⢳⡇⠸⡆⠀⠀⠀⠀ ⠸⡄⠀⠀⠀⠀⠀⠈⠑⢄⡘⢆⡀⠀⠀⠀⠀⠀⠀⠈⠲⠀⠀⠀⠀⠀⠈⢣⣄⠁⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⡶⠿⠿⠟⠛⠿⠿⠶⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⣟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⢾⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡿⠁⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⣡⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠳⣄⠀⠀⠀⢧⠀⠀⢸⣧⣤⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⠃⠀⠀⠀⣠⠀⢰⠀⠀⢰⡄⠀⠀⠀⠀⠸⣷⣤⣀⠀⠀⠀⠀⠘⢷⣄⠀⠈⢧⠀⠘⣟⠉⠙⠛⠛⠿⢿⣶⣤⣀⡀⠀ ⠀⠀⣀⣠⣤⣿⡿⠀⠀⠀⣴⡟⢀⣿⡀⠀⢸⡟⠢⣄⡀⠀⠀⠈⢷⣌⡉⠓⠲⠤⣤⣈⣿⡷⡄⢸⡇⢰⣯⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⢷ ⡾⠿⠛⠛⠉⢹⣧⠀⠀⣼⠏⣷⣼⠛⣷⡀⠈⢿⡀⠈⠙⠓⠶⠦⣤⣬⣛⣦⣤⠀⠀⠀⠉⠙⠻⣦⣿⣸⡛⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠰⣿⠀⢠⡟⠀⢻⡟⠀⠈⠳⣦⡈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡈⣿⣿⣁⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡿⣧⢸⡇⠀⠈⠃⠀⠀⠀⠈⠙⠛⠿⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⣿⣌⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣧⠙⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣧⣿⠛⠓⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠻⣾⣿⣶⣾⣷⣶⣦⣄⡀⠀⠀⠀⠀⢠⠀⠘⡄⠀⠀⢀⣤⣾⡿⢿⠋⠁⠀⠉⣿⠇⠀⠀⠀⠙⠢⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠈⢟⣻⡿⣷⣦⣤⣤⣿⠀⠀⢻⣶⡶⠿⠿⢭⡵⠋⠀⠀⠀⣠⣿⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣇⠀⠀⠀⠀⠝⠛⠉⠀⠀⣠⣿⠀⠀⢸⠦⣤⣀⡀⠀⠀⠀⠀⠀⣼⠋⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡶⢄⠀⠀⠀⠀⠀⣠⠾⢿⣀⡀⠀⣈⡴⠏⠀⠉⠓⠦⣄⠀⠀⢻⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠈⣇⠀⠀⠀⡼⠁⠀⠀⠈⠙⢿⠉⠀⠀⠀⠀⠀⠀⠈⢧⡀⠸⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠸⠀⠀⡸⠁⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⣾⠉⠛⠒⠒⠒⠂⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⡴⠞⠛⣿⣄⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣄⡀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠠⠞⠉⠀⠀⠀⠈⠻⣦⡀⠀⠇⢀⡴⠒⠒⠒⠶⢶⣶⠛⣉⣤⣀⡬⢷⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⡸⠿⠿⠟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠰⣄⠀⣀⡤⠴⠶⠤⢤⣠⠤⠞⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠟⠀⠀⠀⠀⠀⣀⣤⠶⠚⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠤⣀⣀⣀⡀⠘⠿⢶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣴⡾⠟⠉⠀⢀⣠⡴⠞⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠳⢶⣤⣀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⣠⡶⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⣦⡀⠀⠀⠀⠀⠀⣠⡞⢹⣶⠐⠶⡦⢶⠲⣦⠄⢲⢆⢀⡤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣄⣀⣠⠴⠋⠀⠈⠉⠐⠛⠓⠛⠚⠛⠿⠚⠚⠓⠓⠛⠂⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡤⠤⠤⢤⣤⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠤⠒⠒⠉⠉⠁⣀⣀⣀⠀⠀⠘⣅⠀⠀⠀⠀⢻⠉⠓⠒⠤⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠖⠛⠥⢄⣀⠤⠤⠒⠒⠉⠉⠀⠉⠙⠒⢴⣁⣀⣠⣤⢴⣉⣀⠀⠀⠀⠀⠈⠙⠒⢤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣤⠞⠉⠀⠀⢀⣀⣴⡃⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠋⠉⠀⠀⠀⠀⠀⠉⠛⢲⡤⠤⠤⠤⢄⡀⠈⠳⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣤⠟⠙⡇⠀⢀⡞⠉⠀⠀⠉⠳⣄⠀⠀⠀⠀⢀⣠⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠈⣷⣠⠜⠑⣄⠀⠀⠀ ⠀⠀⢠⡞⠁⠀⣼⠗⠛⠉⠻⢆⠀⠀⠀⠀⠈⠻⢦⣶⠿⠛⠉⠓⢦⡀⠀⠀⠀⠀⠀⢀⣠⠴⠿⣄⠀⠀⠀⠀⠀⠘⣿⣆⠀⠈⠳⡀⠀ ⠀⢠⣿⡀⠀⢠⠟⠀⠀⠀⠀⠈⢳⡄⠀⠀⠀⠀⢸⠅⠀⠀⠀⠀⠀⢸⠀⠀⠀⢠⠖⠉⠀⠀⠀⠈⠳⣀⠀⠀⣠⠞⠁⠈⠉⠒⣄⡼⣄ ⢠⣿⠏⠈⠣⣾⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⢸⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⡖⠉⠉⠉⠁⠀⠀⠀⢀⣀⣽⣄⠘ ⢸⣯⠀⠀⢀⣹⣷⣶⣾⣿⣿⣿⣷⣤⣄⡀⠀⠀⠈⠱⡄⠀⠀⠀⠀⠘⡄⠀⢸⠃⠀⠀⠀⠀⢀⣠⣷⣶⣶⣿⣷⣾⣶⣴⡋⠁⠀⠘⠂ ⠘⣿⣤⣤⣿⣅⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣠⠇⠀⠀⠀⠀⢠⡗⠒⠋⠀⠀⣠⣴⣾⡿⢿⣿⣿⣿⣿⣿⣿⣿⣧⠙⣦⡤⢴⣺ ⠀⠈⠛⠛⠛⢸⣿⡟⠛⠛⠿⣿⣿⣿⣟⠽⠉⠙⣿⣿⣷⣦⣤⣤⣄⣿⣧⣤⣤⣴⣿⡯⡵⠛⠉⣿⣿⣿⣿⣻⠿⢿⣿⣿⡄⠿⠾⠞⠃ ⠀⠀⠀⠀⠀⢸⣿⣿⡄⠀⠀⠙⣾⢮⣻⣵⢶⣾⣿⡿⠋⠙⣿⣿⣿⣟⣿⣿⠞⠙⡿⣿⣷⣶⣖⠿⢟⡻⠋⠀⠀⣠⣴⣿⡗⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡟⢿⣿⣷⣤⣤⣾⡷⠞⠛⠉⠁⠹⣷⣶⣦⡃⠀⠀⠀⠀⢹⣤⣶⠄⠀⢹⠛⠻⢿⣿⣷⣦⣤⣾⣿⠏⢸⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡃⠀⠹⣿⣿⠉⠁⠀⠀⠀⠀⠀⢰⠃⠀⠉⠉⠉⢹⠉⠉⠁⠀⢷⡴⠚⠉⠀⠀⠀⠈⠙⠛⣿⣿⠋⠀⠈⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣷⡀⠀⢸⡟⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⢾⠀⠀⠀⠀⠘⣆⣀⡀⠀⠀⠀⢀⣠⠴⢿⠇⠀⠀⠀⢻⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⠋⢻⣶⣿⡇⠀⠀⠀⠀⢀⣀⡾⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢳⣀⣠⡴⠋⠀⠀⣾⠀⠀⠀⠀⣸⡃⠀⠀⠀ ⠀⠀⠀⠀⣼⠃⠀⣸⠁⠈⡇⠀⠀⠀⠀⡟⠁⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⢙⣧⣀⠤⠞⠉⣇⠀⠀⠀ ⠀⠀⠀⢰⣿⠀⡴⠃⠀⠀⡟⠀⠀⠀⣴⠁⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢀⣾⠃⣿⠀⠀⠀⢻⡀⠀⠀ ⠀⣤⡶⠚⠋⠉⢓⠖⠒⠒⠓⠒⠒⠲⠷⠶⠶⢶⠶⠶⠦⠤⠤⢧⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⢧⠀⢀⠟⠉⠀⣿⠀⠀⠀⠘⣧⠀⠀ ⠀⣿⣷⡶⠶⢶⡏⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠞⠦⢤⣄⡀⠀⠀⠀⠀⡿⠀⠀⠈⠉⠉⠙⢲⡖⠚⠦⠮⣤⣀⠀⢻⢦⣄⠀⠀⣿⠀⠀ ⠀⠻⣿⣇⠀⠀⠻⣆⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠙⢦⡀⣀⡼⠁⠀⠀⠀⠀⠀⢀⣈⣇⠀⠀⠀⠀⠀⠉⡿⠀⠉⠑⢚⡟⠀⠀ ⠀⠀⠹⣿⣆⠀⠀⠙⣧⣀⠀⠀⣀⣤⣾⡃⠀⠀⠀⠀⠀⠀⠀⢫⠉⠀⠀⠀⠀⠀⠀⠀⣸⠋⠙⢦⡀⠀⢀⣠⣜⠁⠀⠀⢀⠞⠀⠀⠀ ⠀⠀⠀⠙⢿⣷⡀⠀⢨⡿⠛⠛⠉⠁⠀⠙⠢⢄⠀⢀⣠⣤⡴⠿⠳⡀⠀⠀⠀⠀⠀⢀⠇⠀⠀⠀⠈⠲⡟⠉⠉⠉⢳⡔⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠿⣷⣾⣀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠛⠉⠀⠀⠀⠀⠈⠳⢄⣀⣤⠴⠟⠀⠀⠀⠀⠀⠀⡇⠀⣠⠔⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣷⡶⣦⣤⣰⣟⣍⣀⣀⠀⠀⠀⠀⠀⠀⣀⡼⠁⠀⠀⠀⠀⢀⣀⣀⡤⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠉⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠒⠛⠛⠛⠋⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠰⣶⣶⣶⣄⠀⠀⠀⢀⣀⠀⠀⣠⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠻⣿⣿⣿⡀⠀⠀⣿⠿⠷⢾⡏⠉⣿⣄⢀⣿⣷⡆⠀⠀ ⢀⣠⣬⡁⢸⣿⣶⣿⣿⡇⠀⣾⡇⠀⣿⡏⠛⢻⣿⢧⣤⠀ ⢸⣿⡿⡿⢻⠇⠀⢿⣿⡇⣠⣿⡇⣼⡿⠀⠀⣼⡏⢠⣾⠀ ⢸⣿⡀⢀⣿⠀⣴⠈⣿⣿⣿⣿⣿⣿⠃⣾⣤⣿⠀⣼⣿⠀ ⢸⣿⣧⢸⣿⣧⣿⣇⣿⣿⣿⣿⣿⣿⣾⣿⣿⣏⣼⣿⣿⠀ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄ ⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁ ⠀⢹⣿⣿⣿⣿⣿⠉⠙⣿⣿⣿⣿⣿⡯⠉⢻⣿⣿⣿⣿⠀ ⠀⠸⣿⣿⣿⣧⡀⠀⣠⣿⣿⣿⣿⣄⠀⢀⣼⣿⣿⣿⠇⠀ ⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀ ⠀⠀⠘⣿⣿⣿⣿⣿⡿⠿⠿⢿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀ ⠀⠀⠀⠘⣿⣿⣿⣿⣷⣄⣀⣀⣠⣿⣿⣿⣿⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⠿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⢸⣦⡀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣏⠻⣶⣤⡶⢾⡿⠁⠀⢠⣄⡀⢀⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀ ⠀⠀⣀⣼⠷⠀⠀⠁⢀⣿⠃⠀⠀⢀⣿⣿⣿⣇⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠴⣾⣯⣅⣀⠀⠀⠀⠈⢻⣦⡀⠒⠻⠿⣿⡿⠿⠓⠂⠀⠀⢂⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⢻⡇⣤⣾⣿⣷⣿⣿⣤⠀⠀⣿⠁⠀⠀⠀⢀⣴⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣿⡿⠏⠀⢀⠀⠀⠿⣶⣤⣤⣤⣄⣀⣴⣿⡿⢻⣿⡆⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠟⠁⠀⢀⣼⠀⠀⠀⠹⣿⣟⠿⠿⠿⡿⠋⠀⠘⣿⣇⠀⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢳⣶⣶⣿⣿⣇⣀⠀⠀⠙⣿⣆⠀⠀⠀⠀⠀⠀⠛⠿⣿⣦⣤⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⠿⠋⠁⠀⣹⣿⠳⠀⠀⠀⠀⠀⠀⢀⣠⣽⣿⡿⠟⠃ ⠀⠀⠀⠈⠀⢰⠿⠛⠻⢿⡇⠀⠀⠀⣰⣿⠏⠀⠀⢀⠀⠀⠁⣾⣿⠟⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⣰⣿⣿⣾⣿⠿⢿⣷⣀⢀⣿⡇⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠋⠉⠁⠀⠀⠀⠀⠙⢿⣿⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀ 𐙚 -`♡´-˙✧˖°📷 ༘ ⋆｡˚˙✧˖°📷 ༘ ⋆｡˚˚˖𓍢ִ໋🌷͙֒✧˚.🎀༘⋆˚‧｡⋆🌻⋆｡‧˚⛷🧚‍♀️🛖

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣠⠄⠒⠈⣉⠤⠤⢄⡀⡃⠀⠀⡩⠉⠒⠢⠄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠊⠁⣀⡨⡋⠀⠀⠀⠀⢀⠔⠉⠉⠉⠉⠒⢠⠤⠤⢄⡑⢀⠀⠀⠀ ⠀⣠⠊⢸⠤⠺⡄⠀⠈⠑⢄⣠⠴⠮⡀⠀⠀⠀⠀⡠⢏⠀⠀⠀⠱⣎⠐⢄⠀ ⣰⠧⣀⠇⠀⠀⠈⡆⠀⠀⢸⠁⠀⠀⠈⡆⠀⡐⠁⠀⠀⢱⠤⠤⠊⠈⠁⢢⠣ ⡏⠀⢘⣦⣴⣶⣾⣥⣀⠀⠈⢢⠀⠀⠀⡇⢠⠁⠀⠀⣀⣥⣴⣶⣶⣤⡒⠉⠂ ⠻⠿⠷⣾⠿⠿⣿⣿⣿⠿⢷⣮⣀⣀⣠⣏⣀⣠⣴⡿⢿⣿⣿⢿⣿⣿⢸⣶⠝ ⠀⠀⠀⣿⣧⡀⠘⣯⣽⣶⢿⣏⣙⠿⠿⠿⡟⡙⠿⣶⣾⣿⡋⢀⣠⡿⠃⠀⠀ ⠀⠀⠀⡇⠹⣿⠟⠉⠀⠀⢀⠋⠙⠒⡖⠒⠉⡧⠔⠁⠈⠙⠛⣿⠏⠀⡇⠀⠀ ⠀⠀⢀⡷⣤⣾⠀⠀⠀⢀⡆⠀⠀⠀⡇⠀⠀⠘⠒⡀⢀⠔⠊⡏⠀⠀⡡⠀⠀ ⠀⠀⡞⢀⠏⢰⠀⠀⠰⠉⠀⠀⠀⠀⡇⠀⠀⠀⠀⠈⢩⠀⠀⣱⠤⠘⢹⡀⠀ ⢠⠔⠓⢪⠄⠘⠀⠠⠧⠤⡤⠤⠤⠌⠀⣀⣀⢀⠀⠀⠸⠀⡰⠃⠀⠀⠀⠇⠀ ⢸⣿⠛⢧⠀⠀⠀⠀⢠⠒⠑⠒⢀⡀⢀⠄⠀⠀⠀⠙⡏⠑⠓⠀⠜⠲⠄⡆⠀ ⠈⢻⣄⠈⠳⣄⣀⡤⠯⡀⠀⠀⠀⢸⡁⠀⠀⠀⢀⠏⠑⢄⣀⡴⢁⠀⡐⠁⠀ ⠀⠀⠙⢷⣴⡁⠀⠀⠀⢈⡦⠒⠋⠉⠐⠠⣀⡠⠜⠀⠀⠀⠸⢀⠄⠃⠀⠀⠀ ⠀⠀⠀⠀⠈⠛⠻⠷⠶⠿⢦⣤⣤⣤⣤⣴⠧⠤⠤⠤⠐⠒⠉⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⠶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⡀⣤⣤⡊⢁⣽⠶⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⡉⠻⣿⣏⠀⣼⡁⠷⢾⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣿⣿⡿⠛⣇⣀⣀⣁⣠⠿⣇⡀⢺⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢿⣿⢷⣾⣬⣇⠉⣉⣶⠴⢿⣻⡿⠤⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠛⠙⠾⠏⠀⣿⣡⣤⣤⣄⣀⢙⣄⣠⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣟⠩⢿⣋⢹⣿⣛⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣞⠋⡼⠙⢮⠁⠈⢉⣿⡁⢹⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⢤⣶⣤⣀⣠⣾⣵⡞⠀⠀⢈⡇⠠⠊⠘⢹⣿⡾⡷⣄⠴⠚⣉⡙⠲⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡠⠚⠁⠉⠉⠁⢁⡞⠉⢛⡟⠀⠀⣠⣾⣅⠀⠀⢆⠀⡏⢦⡈⢿⣆⡉⠀⠀⠀⠈⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⡴⣯⠀⠀⠀⢀⣀⡴⢋⢈⡴⡏⠀⢠⣾⣿⣿⣿⡟⣒⠒⠛⣷⣠⠍⠢⡿⠹⣷⣦⡀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀ ⠷⡏⠀⠀⣴⣿⣿⣖⣲⠏⠀⠘⡄⢹⡟⠁⠀⠀⢫⠙⠻⢍⣹⣿⡄⠀⢹⣾⣿⡿⠃⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⢀⡟⠀⠀⢧⣿⣟⣿⠃⠀⠀⢀⡇⠀⢳⡀⠀⠰⡀⠱⡄⠀⣸⣉⣷⡀⠀⠉⠉⠀⠀⠀⠀⡀⢸⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢠⣄⠀⠀⠀⠀⢠⡴⠏⡙⠀⠀⣾⡻⣦⠀⠴⣤⢿⡄⡟⠘⡍⡻⠦⡄⠀⠀⣀⣤⡾⣡⠏⠀⠀⠀⠀⠀⠀⠀ ⠹⡀⢠⠀⠉⠉⠉⠉⠚⠓⠉⠁⠀⠀⣿⠱⡈⠣⡀⠠⠀⢿⠁⢀⣧⠉⠑⠒⠒⠩⠵⠿⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠱⡼⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⢹⣶⢷⡄⠤⣼⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⠘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣻⠏⠒⢧⡴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠶⣯⠼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡁⠀⣤⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠉⠛⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⣰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠻⣄⢤⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠿⠛⠿⠿⢻⡹⠀⠤⣿⠛

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠋⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⢀⣀⣀⣠⣤⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠟⠛⠛⠋⠉⠉⠛⣷⡄ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⢀⣀⡤⣤⢤⡤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⣀⣤⣶⠿⠛⠋⠁⠁⠀⠀⠀⠉⠛⣯⣳⡀⠀⠀⠀⠀⠀⠀⢠⡿⠃ ⠀⣠⣶⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡻⣿⠀⠀⠀⠀⠀⣠⡿⠃⠀ ⢸⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠉⢹⡆⠀⠀⢸⣿⠀⠀⠀⠀⢠⡿⠁⠀⠀ ⢸⣧⡀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠈⠀⠀⢀⣮⠏⠀⠀⠀⠀⠘⣷⡀⠀⠀ ⠀⠙⠿⣶⣤⣀⠀⠀⠀⠀⠈⠻⢦⣤⣤⣤⡶⠟⠁⠀⠀⠀⠀⠀⠀⠘⣷⡄⠀ ⠀⠀⠀⠀⠉⠛⠿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣦⣤⣤⣄⣀⣀⣤⡿⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⣠⣾⠏⠀⠀⠀⠈⠉⠉⠙⠛⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣄⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣴⣶⣶⣶⣶⣦⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣴⣿⠿⠛⠉⠉⠉⠀⠀⠈⠉⠉⠛⠿⣿⣶⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣾⡿⠋⢠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⠙⠻⣷⣆⠀⠀⠀⠀ ⠀⠀⢀⣾⡿⠋⠀⠀⢺⣟⠻⡄⠀⠀⠀⠀⠀⠀⢠⠞⢻⣿⠀⠀⠈⢿⣷⡄⠀⠀ ⠀⢀⣾⡟⠁⠀⠀⠀⠸⣿⡀⠈⠀⠀⠀⠀⠀⠀⠂⢀⣿⡇⠀⠀⠀⠀⢻⣿⡄⠀ ⠀⣼⣿⠁⠀⠀⠀⠀⠀⢻⣷⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠀⠀⠀⠀⠀⠀⢿⣷⠀ ⠀⣿⡇⠀⠀⠀⠀⠀⠀⠈⣿⣧⣠⣴⣶⣶⣦⣤⣰⣿⠃⠀⠀⠀⠀⠀⠀⢸⣿⡄ ⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇ ⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⢸⣿⠃ ⠀⢻⣿⡀⠀⠀⠀⠀⠀⠀⠀⡟⠻⢿⣿⣿⡿⠟⢻⠀⠀⠀⠀⠀⠀⠀⠀⣾⡿⠀ ⠀⠈⢿⣷⡀⠀⠀⠀⠀⠀⠀⣧⡀⠀⠀⠀⠀⢀⣼⠀⠀⠀⠀⠀⠀⢀⣼⡿⠁⠀ ⠀⠀⠈⢻⣿⣄⠀⠀⠀⠀⠀⠘⣿⡆⠀⠀⢰⣿⠏⠀⠀⠀⠀⠀⣠⣾⡿⠁⠀⠀ ⠀⠀⠀⠀⠙⢿⣷⣤⡀⠀⠀⠀⠈⠃⠀⠀⠘⠁⠀⠀⠀⢀⣠⣾⡿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠻⢿⣷⣦⣤⣀⣀⣀⣀⣀⣀⣤⣴⣾⡿⠟⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠛⠿⠿⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣀⢀⣾⠿⠻⢶⣄⠀⠀⣠⣶⡿⠶⣄⣠⣾⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢻⣿⣿⡿⣿⠿⣿⡿⢼⣿⣿⡿⣿⣎⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠉⠛⢛⣛⡉⠀⠀⠙⠛⠻⠛⠑⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣧⣤⣴⠿⠿⣷⣤⡤⠴⠖⠳⣄⣀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣀⣟⠻⢦⣀⡀⠀⠀⠀⠀⣀⡈⠻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠉⡇⠀⠀⠛⠛⠛⠋⠉⠉⠀⠀⠀⠹⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠀⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠈⠑⠪⠷⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣦⣼⠛⢦⣤⣄⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠢⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠲⠖⠛⠻⣿⡿⠛⠉⠉⠻⠷⣦⣽⠿⠿⠒⠚⠋⠉⠁⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⠛⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀ ⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀ ⠀⠀⠀⣰⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣧⣄⠀⠀⠀⠀⠀⠀⢳⡀⠀ ⠀⠀⠀⣿⡾⢿⣀⢀⣀⣦⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣫⣿⡿⠟⠻⠶⠀⠀⠀⠀⠀⢳⠀ ⠀⠀⢀⣿⣧⡾⣿⣿⣿⣿⣿⡷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢿⣿⣧⠀⡀⠀⢀⣀⣀⢒⣤⣶⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⡾⠁⠙⣿⡈⠉⠙⣿⣿⣷⣬⡛⢿⣶⣶⣴⣶⣶⣶⣤⣤⠤⠾⣿⣿⣿⡿⠿⣿⠿⢿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣸⠃⠀⠀⢸⠃⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⠟⡉⠀⠀⠀⠈⠙⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣿⠀⠀⢀⡏⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠉⠠⠿⠟⠻⠟⠋⠉⢿⣿⣦⡀⢰⡀⠀⠀⠀⠀⠀⠀⠁ ⢀⣿⡆⢀⡾⠀⠀⠀⠀⣾⠏⢿⣿⣿⣿⣯⣙⢷⡄⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣻⢿⣷⣀⣷⣄⠀⠀⠀⠀⢸⠀ ⢸⠃⠠⣼⠃⠀⠀⣠⣾⡟⠀⠈⢿⣿⡿⠿⣿⣿⡿⠿⠿⠿⠷⣄⠈⠿⠛⠻⠶⢶⣄⣀⣀⡠⠈⢛⡿⠃⠈⢿⣿⣿⡿⠀⠀⠀⠀⠀⡀ ⠟⠀⠀⢻⣶⣶⣾⣿⡟⠁⠀⠀⢸⣿⢅⠀⠈⣿⡇⠀⠀⠀⠀⠀⣷⠂⠀⠀⠀⠀⠐⠋⠉⠉⠀⢸⠁⠀⠀⠀⢻⣿⠛⠀⠀⠀⠀⢀⠇ ⠀⠀⠀⠀⠹⣿⣿⠋⠀⠀⠀⠀⢸⣧⠀⠰⡀⢸⣷⣤⣤⡄⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⢼⡇ ⠀⠀⠀⠀⠀⠙⢻⠄⠀⠀⠀⠀⣿⠉⠀⠀⠈⠓⢯⡉⠉⠉⢱⣶⠏⠙⠛⠚⠁⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠻⠄⠀⠀⠀⢀⣿⠀⢠⡄⠀⠀⠀⣁⠁⡀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⡟⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢠⡇

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠖⠅⠀⠈⠲⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣦⢠⡴⠚⡇⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡞⠹⡤⠴⢇⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢃⠄⢀⡠⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡩⡇⠀⢓⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠊⡠⢂⠂⠀⠘⠈⢂⠀⢂⠱⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⠂⡇⢀⣤⣀⠀⢁⢀⣕⠂⢆⢱⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠀⢿⡶⠿⡿⠀⢰⠡⢸⡀⠈⢋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⢾⡋⠄⠐⢀⠎⠁⠎⢃⠀⠀⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡠⢎⠀⡌⠀⠃⠄⠀⡘⠀⢰⠀⠀⣄⡀⣇⠀⠀⠀⠀⠀ ⠀⠀⣀⠀⠀⠀⣼⠂⢀⡗⠀⢠⠃⠈⠀⠐⠒⢹⠀⠀⢱⠈⠉⡂⠀⠀⠀⠀ ⠀⠀⠙⡍⠢⢎⣠⠒⠁⠀⠀⡘⠀⣸⢀⡀⠄⢚⡀⠀⠈⢆⠁⢸⠀⠀⠀⠀ ⢀⢴⢽⡳⠰⡸⠁⠀⠀⠀⡐⠃⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⢦⠜⡀⠀⠀⠀ ⠈⠁⢈⡿⠁⠀⠀⠀⠠⠊⠈⠀⠀⢄⠀⠀⠀⠀⠀⠇⠀⠀⠈⠃⣁⣩⣦⠄ ⠀⠀⠈⠀⠀⠀⠀⡐⠁⠀⠀⠀⠀⡜⠙⡄⠀⠀⠀⠈⡄⠀⠀⣇⣯⡷⢕⣄ ⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⡠⠊⠀⠀⠐⡄⠀⠀⠀⠙⠀⠀⠛⠀⠀⠀⠁

⠀⠀⠀⠌⡀⠀⠀⠀⡠⠒⠒⢤⡑⡔⢊⣴⣂⡁⠀⠀⠀⠕⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡜⡜⡀⠀⢀⠜⠀⠀⡔⢯⢷⡠⣩⢤⡀⠹⣄⠀⠀⠘⡌⡄⠀⠀⠀⠀⠀⠀ ⠀⢰⢱⢰⡅⢀⠎⠀⢀⠎⠀⠉⠺⠜⠊⠁⠐⠄⠘⣧⠀⠀⠹⣰⠀⠀⠀⠀⠀⠀ ⠀⡎⢸⣾⠁⠌⠀⢀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀⠘⡆⠀⢰⢃⡇⠀⠀⠀⠀⠀ ⠀⡇⠈⣿⢰⠀⠀⣎⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣸⡀⢱⠀⢺⠸⡇⠀⠀⠀⠀⠀ ⠀⡇⠀⡟⡄⠀⡼⣠⣌⣓⡤⣀⠀⠀⣀⠤⣪⣤⣀⣇⠈⡀⣿⠀⡇⠀⠀⠀⠀⠀ ⠀⢡⠀⠳⠇⢰⠀⠙⠚⠁⠉⠂⠀⠰⠁⠪⠯⠶⠛⢹⠀⡇⡏⢰⠇⠀⠀⠀⠀⠀ ⠀⠀⠆⠀⠀⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠀⡾⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⡄⡇⠘⡀⠀⠀⠀⠀⠀⠄⠀⠄⠀⠀⠀⠀⢠⠒⠄⢠⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢣⣧⢰⠐⡀⠀⠀⣀⣤⡐⠀⡂⢄⡀⠀⡠⢻⡸⠀⡎⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⡏⡷⠀⡎⠢⡀⠀⠐⠠⠥⠐⠁⢀⣴⡇⢨⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠞⣸⠃⣸⠁⠧⡏⠢⣄⣀⣀⣀⠴⣿⢣⠇⢸⣧⢸⡄⠀⠀⠀⠀⠀⠀⠀ ⣀⠔⢃⣴⠇⠐⠉⠄⣶⡇⠀⠈⠋⠿⠱⠊⢸⣠⠼⡄⢏⢌⢳⠀⢀⡀⠀⠀⠀⠀ ⠉⠉⢠⠟⠀⡀⣀⣆⠐⡇⠀⠀⠀⠀⠀⠀⢸⡣⢀⣇⠀⠙⠳⣦⡼⢣⠀⠀⠀⠀ ⣀⠰⠭⠐⠊⠁⠀⠡⠡⡬⠂⠀⠀⠀⡀⠀⠞⢠⢪⠁⠈⠑⠂⠬⣆⠀⢀⢰⡄⠀ ⠀⠀⠀⠀⣀⣤⣶⣶⣧⡡⠘⡀⠀⠀⠁⠰⠀⣆⠚⠲⢤⣀⣀⠀⠀⠉⠡⠀⢧⡀ ⡴⠿⠟⠛⣙⠟⡟⢛⣥⠿⢶⠃⣀⢀⡀⠐⡚⠣⢄⡀⢢⠠⣉⠻⣶⣤⣀⡄⢸⠙ ⠀⠐⣀⠠⠄⠒⠉⠁⠀⢠⠃⠀⠀⠈⠀⠀⠰⡀⠀⠈⠙⠪⢌⣹⡻⣿⣿⡇⠸⠀

⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠖⠛⠛⠉⠛⠓⠶⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣪⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡸⣡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⠇⠀⢀⠀⡄⠀⣄⠀⠀⠱⣤⣀⠀⠀⠱⣄⠈⣆⢸⡛⠛⠳⠶⣤⣄⡀ ⣤⠴⠖⢻⠀⢠⢿⢰⢧⠀⢏⠑⠤⢄⣈⣢⣌⡁⠒⠻⠥⣸⢸⢦⠀⠀⠀⠀⠈⠉ ⠀⠀⠀⢸⡄⡜⠘⡏⠈⠳⢜⣆⠀⠀⠀⠀⠀⠀⠀⠀⠐⢹⠫⣸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⡹⣇⠀⠀⠀⠀⠀⠈⠁⠀⡀⠀⠀⠀⣀⣤⣶⣿⡟⠥⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⢿⠛⠛⢳⢶⣄⣀⣠⠀⢡⣀⣴⣾⡻⠁⠀⢸⠃⠀⠀⠑⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣆⠀⠀⠛⠉⢀⡼⠆⢸⢲⠤⣀⠀⠀⢸⠉⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠑⡀⠀⡰⠁⠙⠒⡖⠁⠀⠀⠙⢆⠘⠀⢹⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡠⢿⡀⠁⢰⠁⠀⠀⠀⠃⠀⠀⡀⠀⠀⠂⠀⡾⠉⠉⠉⠀⠀⠀⠀ ⠀⠀⠀⠔⠉⠀⠈⠻⣄⠘⢠⣒⡒⣒⣶⣊⣥⣬⣇⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠈⢍⢁⡀⠤⠄⣀⠠⠀⣰⠃⠀⠀⠀⠀⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡀⠀⠀⠸⣦⣀⣀⣀⢀⣀⣀⣀⡴⠋⠀⣀⠤⠖⠊⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠭⣉⠉⠉⠉⠉⠁⢀⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠤⣀⣀⠔⠁⠋⠭⠯⠭⠧⠭⠶⠤⠄⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠤⠤⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠆⠀⠀⠀⠋⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢀⣠⣤⣤⡀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⣿⡇⢰⡟⠉⠀⢸⣇⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⣿⠏⢹⣅⣀⣠⡿⠁⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣯⠃⠀⠈⠋⠉⠁⠉⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢆⠐⠂⠀⢀⡤⢺⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠦⡞⠉⠀⢸⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠤⢴⡚⠟⠀⠀⠀⡇⠉⠒⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⡠⠒⠢⠄⡐⠒⠀⠇⠘⢆⠀⠐⠢⡀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⣀⡼⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠣⡀⠀⠘⡄⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡏⠉⣿⠀⠀⣤⣬⣳⣠⠀⠐⠆⠀⣠⣟⡉⠓⢮⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠃⠀⣹⣇⣬⣿⣿⣶⣏⠀⠀⣤⡞⠉⠹⡄⠀⠀⠳⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠹⣿⡝⠟⠛⡝⠋⠀⠀⡜⣠⠃⢰⢧⠀⠀⠀⠹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⣰⣿⡋⢀⡈⠀⠒⠒⢺⠛⠁⠀⡏⠘⡆⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⡰⠁⢻⡇⠀⡇⠀⠀⣀⠇⠀⠀⣸⠀⠀⠹⡀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠶⢧⡀⠀⢰⠇⠀⠈⠃⠐⡇⠈⢀⣨⠀⠀⢀⡇⠀⠀⠀⢣⣀⡀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣃⠂⠀⠘⣦⠏⠀⠀⣰⣶⠀⡕⠀⠀⢼⣀⠤⢺⡇⠀⠀⠀⢸⡄⠉⠛⠹⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣤⣄⡀⠀⠀⠀⣰⠟⠁⠀⢀⡴⠋⠀⠀⠀⡏⠀⠀⢁⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠈⡇⠀⢀⣀⢼⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⢧⡈⠳⢤⣞⠁⢠⡴⠚⠁⠀⠀⠀⠀⢰⠧⢄⠀⢹⠀⠀⢀⣀⠠⠒⢷⠀⠀⠀⠀⠹⡞⠁⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡤⠞⣧⡀⡀⠈⣿⠏⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠉⠐⠂⠉⠁⠀⠀⠀⠙⢇⠀⠀⠀⠀⠙⢄⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⢀⡴⢿⢔⣋⡿⡆⢑⡼⠋⠀⠀⠀⠀⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠘⣧⠆⢻⡀⠀⠀⠀⠀⠀ ⠛⠛⠁⠈⢻⣶⡗⠉⠀⠀⠀⠀⠀⠀⢀⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠹⡗⠀⠋⠑⠒⢤⣀⠀ ⠀⠀⠀⠀⣿⠏⠀⠀⠀⠀⠀⠀⠀⡰⠋⠀⠀⠀⠀⠀⠀⠘⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⢀⡇⠐⣤⣤⠺⣿⠟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠁⠀⠀⠀⠀⠀⠀⠀⢠⡾⠉⢻⡀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠈⡇⣰⡻⣽⡿⢍⢳⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⣿⡟⠑⠋⠀⠈⠙⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠘⠉⠀⠀⠀⠉⡁⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⡓⠢⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⠚⠱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀⢀⡀⡀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡖⠀⠐⠚⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⢧⠀⣸⣻⣻⡦⡿⠉⣷⣴⡀⠀⠀⠀⠀⠀⣰⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡾⣿⠀⠉⠀⠀⠁⠀⠉⢈⡟⠀⠀⠀⠀⢰⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⣿⡆⠀⠀⣀⡀⠀⠀⢸⡇⠀⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣇⠀⢸⣶⣾⠂⢰⣾⠇⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣖⣻⠉⣟⣦⡀⠠⠀⠠⣤⡿⠀⠀⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠚⢉⡵⠉⠀⠈⡇⢳⡶⣿⠓⢲⣾⣕⣦⡄⠀⣰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⢀⡾⠀⠀⠀⠀⢻⡘⣧⠀⠀⠀⠈⠈⠙⢷⡼⡻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⢠⠟⠀⠀⡆⠀⠀⣸⠃⠈⠓⢦⣔⢀⣤⡶⣫⣾⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡏⠀⠀⢀⡏⠀⠀⡸⠃⠀⣸⠉⠀⠀⠀⠀⠈⠁⠰⣾⡏⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡻⠀⠀⠀⡾⠀⡀⢠⠃⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⡀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⡇⠀⠀⢸⠁⠀⣧⠟⠀⢠⣧⣀⣀⣀⡀⠀⣀⠀⠀⠀⠀⣿⣇⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⣇⡆⢠⡏⠀⢸⡟⠀⢀⡟⣀⠀⠉⠛⠛⠟⠃⠀⠀⢠⣴⣿⡿⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⣿⠃⡼⠀⠀⡼⠀⠀⣼⢿⣿⣿⣳⣮⡆⠀⠀⠀⠀⣴⣶⣿⠃⡆⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⡏⢰⠃⠀⢰⠃⠀⠀⡏⠘⠿⠿⠿⢹⡇⠀⠀⠀⣿⣿⣿⡟⠁⢳⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⢠⡏⠀⢀⡟⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⠈⠉⢙⠇⠀⢸⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⡜⠀⠀⡼⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠇⠀⣾⠀⠀⢸⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠇⠀⢰⠃⠀⠀⢸⠁⠀⠀⠀⠀⢤⣀⠀⢀⣀⣤⠀⣰⠋⠀⠀⢸⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡞⣰⡆⠀⠀⠀⡿⠀⠀⠀⣿⣤⠀⠀⠀⠀⠀⠈⢉⣉⠁⠀⣴⢋⠀⠀⠀⢸⡇⢻⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡟⢀⢿⡇⠀⠀⢠⠁⠀⠀⢸⡏⠈⠻⢦⣀⠀⠀⠀⠀⠀⣠⡿⠁⡄⣸⠀⠀⣸⡆⢸⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠺⡇⢸⠘⡇⠀⠀⢸⠀⠀⠀⢸⡗⠒⠒⢓⡛⠳⣦⣤⣤⡴⢫⠀⢰⣣⣿⠀⢀⣿⢣⢸⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢳⡘⡄⢹⡀⠀⠘⡀⠀⠀⠸⡇⠀⠀⠀⢻⣿⣿⠀⠀⣠⢆⡴⠋⠁⡿⠠⢋⣇⣺⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠛⣕⡼⢷⡀⠀⠈⠄⠀⠀⢻⠀⠀⠀⠀⠙⣿⠠⠾⠷⠋⠀⢀⡼⠁⠀⣨⠞⢹⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡀⣀⣼⣣⣶⣷⣄⠀⠀⠀⠀⠀⠳⡀⠀⠀⠀⠈⠷⣄⣀⣤⡖⠋⠀⣠⡴⠋⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢈⡩⠿⠋⠀⠀⠀⠙⠷⣄⣀⣀⣀⣠⠍⠦⣄⣀⣀⠼⠃⠀⢸⠉⠙⠛⠶⣤⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⣿⠟⠓⠦⣄⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠐⢦⠀⠀⠀⠀⠀⠀⢸⡿⠀⠀⠀⠘⣆⠘⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⣞⡁⠀⠀⠀⠈⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⢿⠀⠈⣿⡀⠀⠀⠀⠀⠀⠀⠀ ⣸⠃⠀⠉⠓⠦⣄⡀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⢸⠀⠀⠀⠀⠀⠘⣇⣸⠁⢳⡀⠀⠀⠀⠀⠀⠀ ⡿⠀⠀⠀⠀⠀⠀⠙⠲⣄⠀⠈⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠸⠀⠀⠀⠀⠀⠀⠹⡏⠀⢸⡇⠀⠀⠀⠀⠀⠀ ⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣀⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠧⠀⠀⠀⠀⠀⠀⠀⡹⣦⣈⠁⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣶⣿⠿⠟⠛⠛⠛⠿⢿⣿⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⣼⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣆⠀⠀⠀ ⠀⠀⢸⣿⠇⣠⣄⠀⠀⠀⠀⠀⠀⢀⣤⣄⢹⣿⡆⠀⠀ ⠀⠀⢸⣿⣼⣿⣿⣷⡀⠀⠀⠀⣠⣿⣿⣿⣾⣿⡇⠀⠀ ⠀⣀⣼⣿⣿⣿⣿⣿⣿⣆⠀⣼⣿⣿⣿⣿⣿⣿⣧⡀⠀ ⢸⣿⣿⣿⣿⣇⣀⣈⣻⣿⣾⣿⣋⣀⣀⣽⣿⣿⣿⣿⡄ ⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁ ⠀⠀⢹⣿⣿⣿⣿⣿⣿⠏⠈⠻⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⢸⣿⠘⢿⡿⠟⠁⠀⠀⠀⠈⠻⣿⡿⢹⣿⡇⠀⠀ ⠀⠀⢸⣿⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠇⠀⠀ ⠀⠀⠀⢹⣿⣿⣦⡀⠀⠀⠀⠀⠀⣀⣶⣿⣿⡏⠀⠀⠀ ⠀⠀⣀⣼⣿⠏⠻⣿⣶⣶⣶⣶⣾⡿⠛⠹⣿⣧⡀⠀⠀ ⣴⣾⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣷⣄ ⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠖⠛⠻⣅⠀⠀⠀⠀⠀⠀⠈⠙⠒⠦⣄⡀⠀⠀⠀⠀⠀⠀ ⣀⡤⣄⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⠀⠀⠀⠀⠘⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⡀⠀⠀⠀⠀ ⢻⡆⠈⢧⠀⠀⠀⢀⣴⠋⠀⠀⠀⠀⠀⠀⠀⢀⡞⠙⠒⠦⣄⠀⠀⠀⠀⠀⠀⠀⣠⠿⡄⠀⠀⠀ ⠀⢻⡄⠈⣆⠀⠀⢿⣷⠆⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠈⢳⡄⠀⠀⠀⠀⢰⠇⠀⢹⠀⠀⠀ ⠀⠀⢻⡀⠘⡆⠀⠀⡿⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⡾⠀⠀⠸⡇⠀⠀ ⠀⠀⠀⢳⡀⠘⡄⢸⡇⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⢸⠇⠀⠀⠀⢷⠀⠀ ⠀⠀⠀⠀⢳⡀⢹⣿⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⢀⣀⣤⣄⡀⠀⠸⢷⠟⢀⣠⣤⣀⣸⠀⠀ ⠀⠀⢠⡖⠋⠉⢹⡏⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠈⠻⠤⣤⣤⠿⠀⠀⢀⡀⠙⠳⠶⠞⢻⡄⠀ ⠀⠀⡾⠀⠀⠀⢸⠛⠲⣄⡀⠀⠀⠀⠀⠀⠘⢦⡀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠙⣆⠀⠀⠀⢸⡇⠀ ⠀⠀⡇⠀⠀⠀⣾⠀⠀⠀⠉⠳⡄⠀⠀⠀⠀⠈⢳⡄⠀⠀⠀⠀⠀⣴⠏⠀⠀⠘⢧⡀⠀⢸⡇⠀ ⠀⠀⡇⠀⠀⠀⡇⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⣠⡾⠃⠀⠀⠀⠀⠀⠳⢄⣸⡇⠀ ⠀⠀⡇⠀⠀⢠⡇⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀ ⠀⠀⡇⠀⠀⢸⡇⠀⠀⠀⡶⠚⠃⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀ ⠀⠀⡇⠀⠀⢸⡇⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀ ⠀⠀⡇⠀⠀⢸⡇⢠⡶⣴⠷⣦⡀⣤⡤⣤⠤⣤⣤⡟⠀⣀⣠⣤⣄⡀⠀⢠⣤⣤⣤⣤⡄⢸⣦⣤ ⠀⠀⡇⠀⠀⢸⡷⢾⠿⢏⣴⢿⠗⣿⠧⣍⣰⢿⡿⢷⡾⣹⡷⢺⣯⠻⡶⢿⡟⢶⡷⠟⡿⢺⠻⣿ ⠀⠀⡇⠀⠀⢸⣇⢸⠀⠀⠀⢸⡠⣿⠀⠀⠀⢸⣇⢸⡇⢻⣷⢸⣾⢀⣿⣼⡇⠀⠀⠀⣇⣸⠀⡏ ⠀⠀⡇⠀⠀⠈⡟⠻⣧⣀⣀⣾⠋⢿⣄⣀⣤⣼⠋⠉⠳⢤⣉⣈⣥⠾⠋⠙⣧⣄⣀⣠⡏⢹⡶⠇ ⠀⠀⣿⡀⠀⠀⣇⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀ ⠀⠀⠈⠻⠶⢤⣿⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⣠⣤⡄⠀⠀⠀⠀⠀⠀⢀⣀⡿⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠘⠓⠒⠒⠒⠲⠶⠶⠤⠴⡟⠀⠀⣿⠓⠒⠒⠒⠚⠛⠉⣉⣹⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣿⠛⠛⠒⠒⠒⠒⠒⠒⠒⠒⠒⢲⡇⠀⠀⢸⡖⠚⠛⠛⠛⠛⠉⠉⣹⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣷⠒⠒⠲⠦⠤⠤⠤⠤⠴⢶⡿⠁⠀⠀⠀⢻⡟⠛⠛⠛⠋⠉⢉⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠙⠲⠤⢤⡤⠴⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠲⠶⠖⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡀⠀⢀⣀⣤⢤⣤⣠⢀⡀⠀⠀⡀⠀⡀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡿⠙⠏⠏⢧⣿⠉⠻⢿⣻⡿⠤⢺⡽⢿⣽⢿⢿⡿⠇⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀ ⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀ ⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀ ⢰⣿⣿⠏⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢹⣿⣿⡄ ⢸⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⣿⣿⡇ ⢸⣿⣿⡆⠀⠀⠸⣿⣿⠟⢹⡏⠻⣿⣿⠃⠀⠀⢸⣿⣿⡇ ⢸⣿⣿⣧⠀⠀⠀⠈⠁⢀⣸⣇⠀⠈⠁⠀⠀⠀⣼⣿⣿⠇ ⠀⣿⣿⣿⣷⣀⡀⠀⣴⣿⣿⣿⣷⣄⠀⢀⣀⣾⣿⣿⣿⠀ ⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⢿⣿⣿⣿⠇⠀ ⠀⠀⢻⣿⡝⠃⠈⠟⠉⣿⡟⢹⣿⠁⠻⠃⠈⢻⣿⡏⠀⠀ ⠀⠀⠀⢻⣿⣄⢀⡄⠀⠘⠁⠀⠃⠀⢠⣄⣰⣿⡟⠀⠀⠀ ⠀⠀⠀⠀⠻⣿⣿⣿⠀⣼⡄⢠⣧⠀⣿⣿⣿⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⣿⣷⣿⣧⣼⣿⣷⣿⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀

⢠⣤⡀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⢀⣤⡀ ⣿⣿⣷⡀⠀⣠⣴⣿⡿⠿⠛⠛⠛⠛⠿⢿⣿⣦⣄⠀⢠⣾⣿⣷ ⣿⣿⣿⣿⣾⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣷⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿ ⢿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⡿ ⠸⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⠇ ⠀⢻⣿⣿⣿⣿⣿⡿⣿⣿⣿⡆⢰⣿⣿⣿⢿⣿⣿⣿⣿⣿⡟⠀ ⠀⠀⢿⣿⣿⣿⣧⣀⣀⣉⣻⣿⣿⣟⣉⣀⣀⣼⣿⣿⣿⡿⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⣿⠉⠛⠻⣿⣿⠿⠛⠉⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⣿⠀⢀⣀⣀⣀⣀⡀⠀⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⠀⠀⢿⣿⣿⣿⣿⠀⠙⠛⠉⠉⠛⠃⠀⣿⣿⣿⣿⡿⠀⠀⠀ ⠀⠀⠀⠈⠻⢿⣿⣿⡀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡿⠛⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠻⣿⣷⣤⣤⣤⣤⣶⣿⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀

.　 +⠀ ⠀ ⠀˚⠀ ⣴⠟⠉⠉⠛⢦⡀⢀⣴⠛⠉⠈⠙⠻⣄ ⠀⠀⣼⠃⠀⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⠹⣦ ⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡆ ⠀⠀⠀⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃ ⠀⠀⠀⠀⠀⠻⢦⣄⠀⠀⠀⠀⠀⣠⡴⠛ ⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⣄⠶⠋ ⠀⠀⠀+. *

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣴⣶⣶⣶⢶⠶⡶⠶⣶⢶⣤⣤⣤⣤⣤⣤⣦⣾⣏⡹⠶⣼⣗⡻⣟⣋⣿⣤⡶⢶⡋⣟⣦⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⣟⢦⡞⢉⣴⣿⠏⠉⠉⠉⠁⠉⠉⠉⠙⠲⣭⡟⠚⢻⠏⠙⣮⣷⣶⣿⣿⠋⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡏⣯⠉⣽⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣟⡛⠂⡝⠓⣾⡿⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⢷⠄⢧⢼⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡗⠒⡟⢰⣿⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣟⢳⣾⠖⣷⠀⠀⠀⠀⠀⠀⠀⣠⣟⡹⠷⣼⣦⣿⡛⠻⢯⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⠟⠋⣤⣿⣿⣲⣿⣷⣦⣤⣤⣤⣴⠾⣧⠟⢣⡼⣵⡟⣇⠛⠦⣀⠉⠓⠲⣤⣤⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⠛⠦⣀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣇⡴⠛⢦⠞⢴⣿⣿⣾⣷⣦⣈⠳⡀⠀⣡⣵⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣦⢿⣿⣿⣿⣿⡟⠿⣿⢿⡏⢀⡞⠦⣠⠋⣠⡿⣿⣿⣿⣿⣿⣿⣆⡱⣾⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⠇⡿⣿⣿⣿⣿⠁⠀⣤⣾⢉⣿⡀⣰⡃⢀⣼⣾⠋⠻⣿⣿⣿⣿⣿⣄⢹⡟⠛⠛⠛⠻⢿⣿⣿⣿⣷⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⠟⢀⣿⣿⣿⣿⠃⠀⣰⣿⢟⡎⠀⣹⣻⡿⢋⡴⠃⠀⠀⠈⠙⠻⠿⢿⣿⣷⣽⣢⣄⣀⣄⠀⢻⣿⠀⠀⠀⢸⠇⠀⠀⠀⣰⣶⣶⣶⣦⡄⠀ ⠀⠀⢀⣾⣿⣿⠋⣿⣿⡿⠋⠀⣼⣿⣿⣿⠋⠀⢠⣿⢏⣾⠉⣸⢻⡏⢰⣿⠻⣄⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠿⠿⠟⠁⠀⣸⡇⠀⠀⠀⢸⠀⠀⠀⣤⣿⣿⠾⡽⣼⢻⡄ ⠀⢠⡾⠛⢻⣿⣆⠙⠉⣀⣴⣾⣿⣿⠟⠁⠀⢠⣿⣿⣎⣹⢶⠳⣾⣧⢸⡻⣿⣏⠳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⢸⡇⠀⠀⢹⣏⣿⣿⣧⣦⣼⡇ ⠀⡟⠁⠀⠀⣻⣿⣶⣾⣿⣿⡿⠟⠁⠀⠀⣠⢿⣿⡿⠋⢠⡇⣸⣿⡇⣼⢳⡉⠻⢷⣄⡈⠑⠢⢤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠶⠶⠛⣀⣀⣠⠴⣿⡍⢽⡇⣿⠟⠀ ⠀⡇⠀⠀⢠⣿⠿⠿⠛⠛⠉⠀⠀⢀⣠⠞⠁⢹⠇⣀⣠⠎⢸⣿⡟⢠⡿⣿⣿⣗⢶⣟⢿⣄⠀⠀⠈⠉⠙⠓⠒⠒⠒⠒⠒⠋⠉⠁⣠⣶⠟⣿⢿⠛⣏⡹⠟⣵⣿⠇⠀⠀ ⢸⡇⠀⠀⠘⢿⠀⠀⠀⠀⢀⣠⠶⠋⠀⠀⢀⣿⠞⠉⡞⢀⣿⠟⢠⣯⣀⣹⣿⣿⣿⣿⣏⣻⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⠃⢧⣨⠿⣁⣹⣿⠟⠁⠀⠀⠀ ⠈⠙⠲⢤⣤⡴⠖⠒⠚⠉⠁⠀⠀⠀⠀⠀⣼⠗⠄⣰⣅⣼⢃⣤⣿⡷⡄⠘⣿⡏⢿⠿⣷⣼⠙⠻⣷⡄⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⡿⣷⣞⠳⣤⢞⡟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⡟⠀⢿⣿⡷⣿⡣⠝⣎⠉⣉⣸⣄⠛⢹⢦⡀⠘⢿⣄⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⢳⡿⣟⡿⡷⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢹⠙⠛⡏⠃⠀⢹⣽⡇⠀⠀⠘⣾⣿⣿⣿⣧⣼⠀⠉⡶⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣁⡼⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣄⠀⢷⠤⠶⣾⠏⠹⣄⡤⢾⣿⣿⣿⣿⣿⣎⢢⡜⠁⣵⠞⠋⠉⠉⡻⣿⢿⡿⣲⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⣷⡄⠈⠳⣠⠻⢤⣀⡟⢦⣼⡿⣿⡉⠸⡆⢼⣿⣄⣀⣧⣠⠤⠒⡏⠀⣿⡼⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠶⠤⣯⡳⢤⣍⠉⠻⣿⣵⠋⢳⡀⢿⠲⣏⢿⠒⢺⠁⠀⢀⡱⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢧⣍⣙⡟⢸⣷⣥⣳⣈⣿⡾⣿⡆⠰⠋⣉⣾⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡏⢺⠃⠈⢙⣷⣿⡀⠈⡏⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⢹⣀⣠⡾⠹⠹⢻⢶⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣞⣿⣁⡴⠃⡔⣸⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠿⠤⠶⠷⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠤⠤⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠋⠁⠀⠀⠀⠀⠀⠉⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠁⠀⠀⢀⠔⡓⢄⠀⠀⠀⠀⠈⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⣠⣞⡵⠋⠉⠢⡑⢤⡀⠀⠀⠰⣳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠋⣠⠊⡽⠋⣴⡿⠛⠳⠌⠢⡈⠢⡀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣡⠞⣡⣌⠱⣄⣿⣇⣀⣀⣀⡤⢛⣦⡈⠢⡆⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠁⡴⣿⡉⠷⣌⢻⡛⢛⡿⢋⡴⢻⠉⢿⣄⠘⢆⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⡸⢁⣷⣽⣷⠾⢷⡙⠊⣰⣫⠷⣾⡾⠾⣿⣦⠈⢾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⢠⠃⠘⢹⣶⡿⠿⠿⠿⠚⠿⠟⣋⣛⠻⣾⣏⠁⢃⠸⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⠀⢀⢸⣧⣠⣀⠤⣄⣀⡠⠤⣄⣀⣸⠛⡟⡄⢸⡀⣿⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⡀⢸⠀⠸⠀⣿⣦⠌⠦⣈⠓⠢⠤⢀⣨⠋⣸⠁⡇⢰⠁⡽⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⢇⠈⢆⠀⡆⠘⣿⣗⣒⠚⠓⠒⢢⣤⣮⡴⢋⠀⠂⢸⠀⡇⢸⠦⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡞⠉⠉⠛⠀⢹⠈⢄⠈⢢⡹⣄⠻⡷⢝⣛⣭⣀⡠⢼⡿⠁⣸⡶⢅⠇⣰⠁⡾⠊⠉⢀⣀⠭⠷⠶⢤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠣⡈⠢⣀⠈⠺⢷⡈⠢⣀⣀⣀⣤⡾⠴⠮⠭⠴⢊⡔⣁⣞⡤⠖⡊⠁⠀⠀⠀⣀⠀⠈⠲⣄⠀⠀⠀⠀ ⠀⠀⠀⣸⣠⡖⠲⢤⣀⠀⠈⠒⣿⡶⢦⣷⣦⣄⡙⣆⣠⣴⠿⠛⠓⠐⠒⢒⣚⠩⠟⠛⠋⠈⠁⠀⢀⣀⣤⠤⠤⣍⠀⠀⠈⠳⣄⠀⠀ ⠀⠀⣴⣿⢁⠇⠀⡀⠀⡽⢷⠢⣄⣉⡒⢬⣑⣾⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡤⠶⠊⠋⠀⠀⠀⣲⡿⠿⣄⠈⢆⠸⡄⠀ ⢀⣾⡇⠈⢸⠀⠀⠁⣾⢧⡈⢢⡈⠢⣌⠻⣿⣿⣿⣿⣿⠧⢤⡤⠤⢤⡶⠖⡫⠟⠉⣠⣿⠀⠀⡐⠀⠀⣠⡾⠉⢀⣴⡿⢦⠀⢆⣧⠀ ⡾⠉⢧⡜⢸⡀⠀⣰⣟⠀⠑⢄⡙⢦⠻⣷⡜⢿⢻⡾⠁⠀⠈⡠⠒⣡⠔⢉⠤⠒⠉⢀⣿⠀⢠⠁⢀⣼⠏⠀⢠⣟⠁⠀⢈⡇⠸⣿⠀ ⡟⡄⠈⢦⠀⡇⢀⡟⢇⠑⢄⠀⢳⡄⡑⢬⣷⣾⣿⣷⣷⣖⡈⠔⢋⡠⠚⠁⣀⠔⣊⠥⢻⠀⠈⠀⣼⠏⢀⢔⠟⠁⢀⣴⠿⢣⠀⣿⠀ ⡇⠙⢤⡈⠻⣿⣿⠣⡀⠑⣌⠳⢄⠈⢳⣿⣯⡿⠛⠛⠛⢿⣷⠂⠁⡠⠔⣨⣴⡯⠤⠀⠘⢇⠀⣸⣯⠞⠁⠀⣠⠶⠋⠁⠈⢿⡄⢸⠀ ⡟⠛⠚⠛⣦⢤⣿⠲⢌⡓⠬⣳⣄⠙⣿⡏⠋⠀⠀⠀⠀⠀⠘⡇⣁⠴⠚⠋⢀⣀⣀⠠⠤⠞⢣⣿⠃⠀⣠⣞⣁⣀⣀⣀⡠⢼⡇⢸⠀ ⢱⣤⣴⠚⣧⢸⡟⠢⣀⠈⠑⠒⢲⣿⣿⣇⣦⠀⠀⠀⠀⢀⣼⣏⠉⠉⠉⠉⠁⠀⠀⡀⠤⠄⠚⢻⡶⢯⣽⣄⠀⠈⠀⠀⠀⢸⡇⢸⡀ ⠸⣋⣡⣜⢡⠤⣏⣈⠽⠟⠋⠉⣁⠤⠻⣿⣶⡷⠒⣶⣶⣿⣿⡀⠉⠉⠛⠛⠓⠤⠤⠤⠤⠠⠤⢴⣇⠀⠘⢌⠛⠶⠶⣶⣿⠯⡇⠀⡇ ⠀⠏⠁⠀⠀⠠⠽⣤⡤⠔⠚⠉⠀⠤⠊⠹⠻⠇⠀⠿⠿⠛⠦⠈⠑⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠾⠄⠉⠑⠒⠛⠓⠂⠀⠒⠚⠻⠄⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡿⠛⠛⠛⠻⢿⠛⢿⡿⠟⠛⠛⠛⠟⠻⠛⠛⠃⠀

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⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛🟥🟥🟥⬛🟥⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛⬛⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛⬛⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛⬛🟥🟥🟥🟥🟥🟥🟥🟥⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛⬛🟥🟥🟥🟥🟥🟥⬛⬛🏻🏻⬛⬛⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛⬛🟥🟥🟥🟥⬛⬛🏻🏻🏻🏻⬛⬛⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛⬛🟥🟥⬛⬛🏻🏻🏻⬛⬜🏻⬛⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛⬛🟥⬛🏻🏻🏻🏻🏻⬛⬛🏻⬛⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛⬛🏻🏻🏻🏻⬛🏻🏻🏻🏻⬛⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟪🟪⬛🏻🏻⬛⬛⬛🏻🏻🏻⬛⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛🏻🏻🏻🏻🏻🏻⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟪🟪⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛🏻🏻🏻🏻⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬛⬛⬛⬛⬛⬛🟪🟪⬛⬛⬛🏻🏻🏻🏻⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜ ⬛🏻🏻🏻🏻🏻⬛⬛⬛⬛🟥⬛🏻🏻🏻🏻⬛🟥⬛⬛⬛🏻🏻🏻🏻🏻⬛ ⬛🏻🏻🏻🏻🏻⬛🟪🟪⬛🟧⬛🏻🏻🏻🏻⬛🟧⬛⬛⬛🏻🏻🏻🏻🏻⬛ ⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛🟨⬛⬛⬛⬛⬛⬛🟨⬛⬛⬛⬛⬛⬛⬛⬛⬜ ⬜⬜⬜⬜⬜⬜⬛🟪🟪⬛🟨🟨🟨🟨🟨🟨🟨🟨⬛⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛🟩🟩🟩🟩🟩🟩🟩🟩⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟦🟦🟦🟦🟦🟦🟦🟦⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟦🟦🟦🟦🟦🟦🟦🟦⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟦🟦🟦🟦🟦🟦🟦🟦⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟪🟪🟪🟪🟪🟪🟪🟪⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬛⬜⬛⬜⬛⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬛⬜⬛⬜⬛⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬛⬛⬛⬛⬛⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬛⬛⬜⬜⬛⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬛⬜⬜⬛⬛⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬛⬛⬜⬜⬛⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬛⬜⬜⬛⬛⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬛⬛⬜⬜⬛⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬛⬜⬜⬛⬛⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠉⠉⠻⣦⡀⠀⠀⠀⠀⠀⣴⠞⠛⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣤⠤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠈⣷⠀⠀⠀⢀⡾⠃⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⡇⠀⠹⢦⡤⢤⣄⡀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⣾⠁⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡴⠞⠋⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⢸⡇⠀⠀⠀⠀⠀⠀⠘⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢧⣄⡀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⠇⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣿⠀⠀⢀⣀⣀⣀⣱⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⡀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⣤⠶⠋⠀⠈⠉⠁⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠘⠳⠛⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠸⠃⠐⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠁⠀⠀⠐⠀⠀⠂⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠇⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠂⠀⢀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠀⠀⠀⠀⠊⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡟⠋⠙⣧⠀⠀⣰⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠛⠻⡧⠀⠀⢻⣄⡀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠁⠀⠀⠘⠛⠳⢦⣀⠀⠀⠀⢀⡀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⡀⠀⣤⣤⣤⡄⠀⢹⡆⠀⠀⠀⣽⡷⣿⡋⠀⠀⠀⠀⠀⠀⠀⢠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡁⠸⣇⡀⣀⡤⠀⢸⡇⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⢀⣠⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣄⠈⠛⠉⠀⣠⠞⠛⢳⡶⢤⣤⣤⣴⡶⠶⠶⠚⠛⢩⡿⢦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⢻⡁⠀⠀⠀⠙⠳⠶⠖⠛⠀⠀⠀⠀⣴⣋⣠⡾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⣰⣾⠁⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣌⠙⠳⢶⡶⠶⠶⠞⣫⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡞⢻⠄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠒⠛⠛⠶⠶⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠉⠉⠀⠈⠳⣤⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠂⠀⠀⠀⣤⠟⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⠤⠶⢤⣀⡿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀

⬜⬜⬜⬜⬜⬜⬜⬜⬜🟪🟪🟪🟪🟪⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜🟪🟪🟪🟪🟪🟪🟪🟪🟪⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜🟪🟪🟪🟪🟪🟨🟨🟪🟪🟪🟪🟨🟪🟪🟪⬛⬜⬜⬜⬜ ⬜⬜⬜🟪🟨🟪🟪🟪🟨🟨🟨🟨🟪🟪🟨🟨🟪🟪🟪🟪⬛⬜⬜⬜ ⬜⬜🟪🟪🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟪🟪⬛⬜⬜ ⬜⬜🟪🟪🟨⬜🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🟨🟨🟪🟪⬛⬜⬜ ⬜🟪🟪🟪🟨⬜🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🟨🟨🟪🟪⬛⬜ ⬜🟪🟪🟪🟨⬜🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🟨🟨🟪🟪⬛⬜ 🟪🟪🟪🟪🟨⬜🌫️🌫️⬛🌫️🌫️⬛🌫️🌫️🌫️🌫️🌫️🌫️🟨🟨🟪🟪🟪⬛ 🟪🟪🟪🟪🟨⬜🌫️🌫️⬛⬛⬛⬛🌫️🌫️🌫️🌫️🌫️🌫️🟨🟨🟪🟪🟪⬛ 🟪🟪🟨🟨🟨⬜🌫️⬛🌫️🌫️🌫️🌫️⬛🌫️🌫️🌫️🌫️🌫️🟨🟨🟨🟪🟪⬛ 🟪🟪🟪🟨🟨⬜🌫️⬛⬛🌫️⬛🌫️⬛🌫️🌫️🌫️🌫️🌫️🟨🟨🟨🟪🟪⬛ 🟪🟪🟪🟪🟨⬜🌫️⬛🌫️🌫️🌫️🌫️⬛🌫️🌫️🌫️🌫️🌫️🟨🟪🟪🟪🟪⬛ 🟪🟪🟪🟨🟨⬜🌫️🌫️⬛⬛⬛⬛🌫️🌫️⬛🌫️⬛🌫️🟨🟪🟪🟪🟪⬛ 🟪🟪🟨🟨🟨⬜🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🟨🟪🟪🟪🟪⬛ 🟪🟪🟪🟨🟨⬜🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🟨🟪🟪🟪🟪⬛ 🟪🟪🟪🟪🟨⬜🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🟨🟨🟪🟪🟪⬛ 🟪🟪🟪🟪🟨⬜🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🟨🟨🟨🟪🟪🟪⬛ 🟪⬜🟪🟪🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟪🟪🟪🟪⬛ 🟪⬜⬜🟪🟪🟪🟪🟪🟨🟨🟨🟨🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪⬛ ⬜⬜⬜🟪🟪⬜🟪🟪🟪🟪🟪🟪🟪🟪🟪⬜🟪🟪🟪🟪🟪🟪⬛⬜ ⬜🟪⬜⬜🟪🟪🟪🟪🟪🟪⬜🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪⬛⬜ ⬜⬜🟪⬜🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪⬛⬜⬜ ⬜⬜🟪🟪⬜🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪⬛⬜⬜ ⬜⬜⬜🟪🟪⬜🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪⬛⬜⬜⬜ ⬜⬜⬜⬜🟪🟪⬜🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜🟪🟪🟪🟪🟪🟪🟪⬛⬛⬜⬜⬜⬜⬜⬜⬜

⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛🟫🟫🟫⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬛🟪🟪⬛🟫⬛⬛⬛🟪🟪⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬛🟪🟪🟪🟪⬛⬛⬛🟪🟪🟪🟪⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬛🟪🟪⬛⬛🟫🟫⬛🟪🟪⬛⬛🟫🟫⬛⬜⬜⬜⬜ ⬜⬜⬜⬛⬛⬛🟫🟫🟫🟫🟫⬛⬛🟫🟫🟫🟫🟫⬛⬜⬜⬜ ⬜⬜⬛🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫⬛⬜⬜ ⬜⬛🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫⬛⬜⬜ ⬜⬛🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫⬛⬜ ⬛🟫🟫🟫🟫🟫🟫🟫🟫🟫⬛⬛⬛⬛⬛🟫🟫🟫🟫🟫⬛⬜ ⬛🟫🟫🟫🟫🟫🟫🟫⬛⬛🏻🏻🏻🏻🏻⬛⬛⬛🟫🟫⬛⬜ ⬛🟫🟫🟫🟫🟫⬛⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛🟫🟫⬛⬛ ⬜⬛🏻⬛🟫⬛🏻🏻⬛⬛🏻🏻🏻🏻⬛⬛🏻🏻🟫⬛🏻⬛ ⬜⬛🏻⬛⬛⬛🏻🏻🏻🏻🏻⬛⬛🏻🏻🏻🏻🏻⬛🏻🏻⬛ ⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜ ⬜⬜⬛⬛🏻🏻🏻🏻🏻🏻⬛🏻🏻⬛🏻🏻🏻🏻⬛⬛⬜⬜ ⬜⬜⬜⬜⬛⬛🏻🏻🏻🏻🏻⬛⬛🏻🏻🏻🏻🏻⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛🏻🏻🏻🏻🏻🏻🏻🏻⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜

⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥⬜🟥🟥🟥🟥🟥🟥⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥🌫️⬜🌫️🟥🟥🟥🟥🟥⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥⬜🟥🟥🟥🟥🟥🟥⬛⬜⬜⬜⬜ ⬜⬜⬛⬜⬜⬛🟥🟥⬛⬛⬛🟥🟥🟥🟥🟥🟥🟥⬛⬛⬛🟥🟥⬛⬜⬜⬜⬜ ⬜⬛🟥⬛⬜⬛🟥⬛⬛⬛⬜⬛🟥🟥🟥🟥🟥⬛⬛⬛⬜⬛🟥⬛⬜⬜⬜⬜ ⬜⬛🟥⬛⬛⬛🟥⬛⬛⬛⬛⬛🟥🟥🟥🟥🟥⬛⬛⬛⬛⬛🟥⬛⬛⬜⬜⬜ ⬛🟥🟥🟥🟥⬛🟥⬛⬛⬛⬛⬛🟥🟥🟥🟥⬛🟪🟪🟪🟪🟪🟥🟥🟥⬛⬜⬜ ⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛⬜ ⬛🟥🟥🟥🟥🟥🟥⬛⬛⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬛⬛🟥🟥🟥🟥🟥⬛ ⬜⬛⬛🟥🟥🟥🟥⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛🟥⬛🟥🟥🟥⬛ ⬜⬜⬜⬛⬛⬛🟥🟥⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟥🟥⬛⬛🟥🟥⬛ ⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥🟪🟪🟪🟪🟪🟪🟪🟥🟥🟥🟥🟥⬛⬛⬛⬛⬛ ⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥⬛⬛⬛⬛⬛⬛⬛🟥🟥🟥🟥🟥⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥⬛⬛⬛⬛⬛⬛⬛⬛⬛🟥🟥🟥🟥⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥⬛⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⠶⠄⠀⠑⠂⠀⠒⠒⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠉⠁⢀⡀⠀⠀⠀⠀⠀⠀⠙⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠐⠤⡀⣄⠄⠀⠀⠠⣀⠀⠀⠀⠙⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠋⠀⢀⡴⠂⠀⠀⡀⠸⡇⢀⣀⢄⣀⠈⢆⠀⣀⠀⠈⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠃⠀⣴⠏⡀⢔⣮⡷⠶⠎⠛⠋⠉⠳⣷⣕⡄⠂⠘⣆⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⢃⠄⣼⠃⡜⢰⣿⠁⠀⠀⠀⠀⠀⠀⠀⢹⣿⢾⡄⠀⡈⢆⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡾⠃⢀⢿⠀⢃⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⡼⢸⡜⣧⠀⠱⡈⢣⡀⢱⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⡾⠁⡄⣿⠈⠀⣼⢫⡇⠀⠀⠀⠀⠀⠀⠀⠀⣇⣠⣵⣿⣂⡀⠳⡀⠱⡜⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡤⠊⣰⡻⡰⢸⡉⠀⠀⣿⢚⡿⢶⣄⠀⠀⠀⣀⣴⢶⣿⣏⣛⢹⠸⡍⠀⠳⡀⠘⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⠊⠀⢰⣻⡝⠀⣾⠇⣆⣸⠿⣿⣻⣶⢽⣟⣲⠾⣟⡵⢟⣛⡿⠟⣼⢰⠳⡔⡀⠱⡀⠈⢆⠀⠀⠀⠀⠀ ⠀⢠⠃⠀⢀⣷⠟⢀⢾⠊⢰⡇⡸⣧⠀⠉⣁⣴⠋⠀⠀⠈⠻⣦⣄⣠⣾⠟⠈⠀⠘⢿⡄⠱⡀⠈⡆⠀⠀⠀⠀ ⠀⠸⡀⠀⣸⠃⠀⣼⡳⠃⣸⠁⢿⠙⢿⡾⠛⠁⠀⠀⠀⠀⠀⠘⠛⠉⠀⠀⠀⢸⡇⠈⡗⢄⡑⠐⡸⡀⠀⠀⠀ ⠀⠀⠀⢰⠃⠀⣰⡟⠁⢠⢿⡀⣿⠀⠀⠀⠀⠀⠐⠢⠀⠀⠀⠀⠱⡀⠀⠀⣇⠈⢠⠀⢇⠑⢋⠉⣳⢻⠁⠀⠀ ⠀⠀⢠⠇⠀⡰⠋⠀⣴⠃⡼⡇⣿⡆⠀⠀⠀⠀⣠⣴⣶⡶⣦⡄⠀⠉⠒⠒⠹⡀⡎⠀⣸⠀⠂⢇⠈⡏⡇⠀⠀ ⠀⠀⡞⠀⣼⠇⢠⡾⠗⣻⢳⠹⣻⣿⣆⠀⠀⠈⠹⠧⠤⠤⠖⠁⠀⠀⠀⢀⠴⣻⢣⢀⣿⠀⡇⠸⡸⢹⠃⠀⠀ ⠀⠀⣇⢞⠎⡰⡿⠁⣰⢹⣸⡄⡿⣿⣻⢷⣄⡀⠀⠀⠀⠀⠀⠀⢀⡠⠖⢁⣴⡟⣸⡞⡇⠀⡇⠀⡇⣿⠀⠀⠀ ⠀⢸⠟⣟⢼⣿⠁⢠⠇⡜⣧⠁⡇⢿⣿⣼⢿⡍⠲⠤⣀⣠⠤⠒⠉⠀⣴⣿⢿⡳⢻⠁⣧⠀⣇⠀⠝⠉⠣⠀⠀ ⠀⡍⡰⣫⡟⡌⢀⣼⠀⡇⢹⢀⣧⣸⡟⣿⠈⡏⢿⠒⢤⣤⣠⣤⣤⡾⢋⠋⣾⢃⡜⠀⡃⡼⢸⡀⠃⠀⠀⢀⡤ ⠀⣯⠝⢱⠁⣧⢸⡿⡀⣇⣼⢀⠻⡽⣇⠿⣇⣳⠸⡇⠀⣿⣿⣿⠛⠀⠀⢾⡽⣈⢧⠀⢻⣷⠀⢧⠀⠠⣾⠟⠀ ⢀⠏⣠⠿⡀⢻⡄⢿⠈⢿⣼⣷⡢⡈⠻⣤⠟⠉⠀⠁⠀⣿⣿⣅⠀⠀⢰⢸⢣⠿⡜⣇⠸⣍⣆⣈⡷⢞⣡⡄⠀ ⠞⣰⠇⠀⠑⢬⣻⣎⣆⠀⢹⠳⣗⣟⢆⢃⢠⠀⠀⢰⠀⠙⠉⣩⢧⡠⡀⣿⡈⣆⠈⠚⢦⢧⢸⠀⠀⠀⠀⠀⠀ ⢰⠏⢠⠀⠀⠀⠈⠻⣾⠇⠈⡆⢳⠙⢯⣿⠀⠀⠀⣸⠆⠀⣰⢫⣿⠟⢭⡺⠷⠬⠷⠖⢺⢸⡼⠀⠀⠀⠀⠀⠀ ⡌⠀⠘⣆⢄⠀⠊⢰⡟⢀⠞⡏⣞⠂⣹⠇⠀⠀⠠⣫⠤⣚⠥⣋⡽⠊⠁⠀⠠⡀⠀⢀⣾⡿⠁⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⢸⡛⠒⣺⢟⣰⠟⠀⡆⣏⡭⠏⠀⠀⠀⡠⠔⠊⡠⠖⠁⠀⠀⠀⠀⠀⠉⠒⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⣀⡄⠀⠈⠉⠉⢁⠀⠀⣰⣣⠟⠀⠀⣀⠔⠉⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⠀⠀⠀⠀⠈⠑⠚⠋⠁⠀⡠⠞⠁⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠶⠶⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡅⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡄⠀⠀⠀⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⣶⣦⣴⣶⣶⣶⣤⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣾⡿⠛⠋⠉⠉⠛⠛⠉⠉⠙⠛⢿⣷⣄⠀⠀⠀⠀ ⠀⠀⠀⣰⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣆⠀⠀⠀ ⠀⠀⢰⣿⡏⠀⠀⠀⣠⣴⣶⣤⣤⣶⣦⣄⠀⠀⠀⢹⣿⡄⠀⠀ ⠀⠀⣿⣿⠁⠀⠀⣼⣿⠋⠉⠛⠛⠉⠙⣿⣧⠀⠀⠈⣿⣿⠀⠀ ⠀⢰⣿⡇⠀⠀⣰⣿⣷⣶⣶⣶⣶⣶⣶⣿⣿⡆⠀⠀⢸⣿⡆⠀ ⠀⣾⣿⠁⠀⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡀⠀⠘⣿⣷⠀ ⠀⣿⡿⠀⠀⢸⣿⠿⣿⣶⡄⠀⠀⢠⣶⣿⠿⣿⡇⠀⠀⢿⣿⠀ ⢰⣿⡇⠀⢠⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡄⠀⢸⣿⡄ ⢸⣿⣧⣴⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣦⣼⣿⡇ ⣿⣿⣿⣿⢻⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡟⣿⣿⣿⠷ ⠉⠉⣿⣿⢸⣿⣿⠀⠀⠶⠿⠛⠛⠿⠶⠀⠀⣿⣿⡇⣿⣿⠉⠀ ⠀⠀⣿⣿⠈⠻⣿⣦⣄⠀⠀⠀⠀⠀⠀⣀⣴⣿⠟⠀⣿⣿⠀⠀ ⠀⠀⣿⣿⠀⠀⠀⠈⠻⣷⣾⣿⣿⣷⡾⠟⠁⠀⠀⠀⣿⣿⠀⠀ ⠀⠀⠻⠟⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠻⠟⠀⠀

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⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬛🟦🟦🟦⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬛⬛🟦🟦⬛⬛⬛⬛⬛⬛⬜⬜⬜ ⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜ ⬜⬜⬜⬛⬛⬛⬛⬛⬛🏻⬛⬛⬛⬜⬜⬜ ⬜⬜⬜⬛⬛🏻🏻⬛🏻🏻🏻⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬛🏻⬛🏻🏻⬛🏻⬛⬜⬜⬜⬜ ⬜⬜⬜⬛⬛🏻⬛🏻🏻⬛🏻⬛⬛⬜⬜⬜ ⬜⬜⬛🟦🟦⬛🏻🏻🏻🏻⬛🟦🟦⬛⬜⬜ ⬜⬛🟦🟦🟦🟦⬛⬛⬛⬛🟦🟦🟦🟦⬛⬜ ⬜⬛🟦🟦⬛🟦🟥🟨🟨🟥🟦⬛🟦🟦⬛⬜ ⬜⬛🏻🏻⬛🟦🟦🟥🟥🟦🟦⬛🏻🏻⬛⬜ ⬛🟥⬛⬛⬛🟦🟦🟦🟦🟦🟦⬛⬛⬛🟥⬛ ⬛🟥🟥🟥⬛🟨🟨🟨🟨🟨🟨⬛🟥🟥🟥⬛ ⬛🟥🟥🟥⬛🟦🟥🟥⬛🟥🟦⬛🟥🟥🟥⬛ ⬛🟥⬛⬛⬛🟦🟦🟦⬛🟦🟦⬛⬛⬛🟥⬛ ⬜⬛⬜⬜⬛🟦🟦🟦⬛🟥🟥⬛⬜⬜⬛⬜ ⬜⬜⬜⬜⬛🟥🟥🟥⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⠿⠟⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠛⠛⠻⠿⢿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⡿⠋⠀⠀⢀⣶⣷⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣶⡄⠀⠀⠈⠻⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣾⣿⣿⡿⠋⠀⠀⠀⠀⢸⣿⣿⡿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⢿⣿⣿⡇⠀⠀⠀⠀⠈⢻⣿⣿⣿⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠘⣿⣿⡇⠀⠙⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⠁⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣧⠀⠀⠀⠀ ⠀⠀⠀⣼⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣷⠀⠀⠀⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠜⠁⠀⠀⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣧⠀⠀⠀ ⠀⠀⣰⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣧⠀⠀ ⠀⢠⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⡆⠀ ⠀⣾⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀ ⢠⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣷⡀⠀⠀⢀⣀⣠⣤⣤⣄⣀⡀⠀⠀⠀⣼⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇ ⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣼⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡇ ⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡿ ⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡇ ⠀⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⠇ ⠀⢻⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡿⠀ ⠀⠈⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠈⠙⠻⠿⠿⣿⣿⡿⠿⠟⠋⠁⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⠃⠀ ⠀⠀⠸⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡏⠀⠀ ⠀⠀⠀⠹⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⠏⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⣴⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⡇⠀⠀⠀⠀⠀⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⡿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⠀⠀⠀⠀⠀⠀⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀ ⠀⠀⣠⣿⣿⣿⡿⠻⣿⣿⣿⣿⣿⣿⠟⢿⣿⣿⣿⣆⠀⠀ ⠀⢠⣿⣿⣯⣉⣿⣄⣹⣿⣿⣿⣿⣏⣠⣟⡉⣽⣿⣿⡄⠀ ⠀⢸⣿⣿⠟⠛⠉⠉⠛⠻⣿⣿⠟⠛⠉⠙⠛⢿⣿⣿⡇⠀ ⣠⣾⣿⣿⣶⣾⡀⠀⣴⣦⣾⣷⣴⣆⠀⣀⣷⣾⣿⣿⣷⡄ ⣿⣿⣿⣿⠟⢿⡿⠻⣿⣿⣿⣿⣿⣿⠿⢿⡿⠻⣿⣿⣿⡇ ⢻⣿⣿⣿⣧⠈⢿⡀⠹⣄⣈⣁⣰⠏⢠⡿⠀⣼⣿⣿⣿⡇ ⠀⣿⣿⣿⣿⣧⠀⣿⣀⣹⣿⣿⣇⣠⣿⠀⣼⣿⣿⣿⣿⠀ ⠀⣿⣿⣿⣿⣿⡿⠿⠛⠛⠛⠛⠛⠛⠻⢿⣿⣿⣿⣿⣿⠀ ⠀⢿⣿⣿⣿⣿⣀⣀⣤⣴⣶⣶⣦⣤⣀⣀⣿⣿⣿⣿⡟⠀ ⠀⠘⣿⣿⣿⡟⢻⣿⠉⣿⡇⢸⣿⠉⣿⡟⢻⣿⣿⣿⠁⠀ ⠀⠀⠸⣿⣿⡇⢸⣿⠀⣿⡇⢸⣿⠀⣿⡇⢸⣿⣿⠇⠀⠀ ⠀⠀⠀⠹⣿⡇⢸⣿⠀⣿⡇⢸⣿⠀⣿⡇⢸⣿⠏⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⠈⠉⠀⠉⠁⠈⠉⠀⠉⠁⠈⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣶⣶⣶⣿⣿⣿⣿⣿⣿⣶⣶⣶⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣍⡉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⢃⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⢀⣠⣀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠉⢠⣿⣿⣿⢃⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣶⣦⣄⡀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⠛⠁⠀⢀⣿⣿⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡆⠀⠀⠈⠙⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⢀⣾⣿⣿⠏⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⡀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀ ⠀⠀⢀⣾⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⣾⣿⣿⠏⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣀⠘⢿⣿⣿⣿⣿⣿⣷⡀⠀⠀ ⠀⠀⣼⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠘⢿⣿⡟⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢿⣿⣿⣿⣿⣿⣧⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠈⠟⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣼⣿⣿⣿⣿⣿⣿⣇⠀ ⠀⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣰⣿⣿⣿⣿⣿⣿⣿⣿⡀ ⢸⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢰⣿⣿⣿⢻⣿⣿⣿⣿⣿⡇ ⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢠⣿⣿⣿⠃⢸⣿⣿⣿⣿⣿⣷ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⣿⣿⣿⠃⠀⢸⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣦⣬⣭⣭⣉⣛⣛⠛⠿⠿⠿⠟⠉⠛⠿⣿⣿⣿⣿⣿⣿⡿⢁⣾⣿⣿⠏⠀⠀⢰⣿⣿⣿⣿⣿⣿ ⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡖⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⠃⣼⣿⡿⠏⠀⠀⠀⢸⣿⣿⣿⣿⣿⡿ ⢸⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣍⣙⣛⠛⠿⠿⠿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⡇ ⠈⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣬⣭⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠁ ⠀⢹⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠻⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⡏⠀ ⠀⠀⢻⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣶⣶⣶⣤⣭⣍⣉⣛⡛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⡿⠀⠀ ⠀⠀⠈⢿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⡿⠁⠀⠀ ⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⢀⣶⣶⣦⣬⣭⣉⣛⣛⡛⠿⠿⢿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣷⣄⡀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣮⣉⣙⣛⠛⠛⠿⠿⢿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣤⣬⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⢩⣇⠙⠻⣛⡒⠒⠶⠤⢤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⢃⡟⠛⡆⠀⣈⣉⠻⣦⣍⠲⢤⣈⠉⠛⠶⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⡟⠸⠀⠀⢻⡀⢹⠀⠉⠙⠛⠷⣀⠹⢷⣦⡀⠈⠙⢦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⢸⣩⣇⣀⠀⠀⠈⢷⡀⢣⠀⠀⠀⠀⠀⠙⢶⣿⣟⢷⣄⠀⠻⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⣠⢻⣇⠹⣾⣄⠀⠀⠀⢳⡀⠳⡀⠀⠀⠀⠀⠀⠙⢿⣷⡙⢷⡄⠹⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠁⠀⢻⣆⠈⠻⢇⠀⠀⠀⠹⣦⡈⢦⡀⠀⠀⠀⠀⠈⠻⣿⣦⠹⣦⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡾⢻⠀⠀⠀⢻⢦⡀⠀⠑⢄⠀⠀⠀⠑⢄⠙⠢⣀⠀⠀⠀⠀⠈⠙⠻⣿⣿⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠸⣇⠀⠀⠀⠳⢍⠢⣀⠀⠑⠦⡀⠀⠀⢱⡆⠈⠑⠲⠒⣲⣄⡀⠀⠈⣿⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢿⡄⠀⠀⠀⠀⠙⠪⣷⣄⡀⠈⠳⢄⣈⣇⠀⣠⣶⣾⠿⠽⡿⣦⣠⢿⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠙⠿⣶⣄⡀⠙⠻⣦⣈⠙⠿⣖⣖⣁⡀⢹⠿⠛⣷⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⡀⠈⢫⡑⢄⡀⠀⠀⠀⠀⠀⠀⠙⠻⢷⡦⣼⠙⠷⣦⡀⠉⠉⣹⠷⡶⠚⠛⣧ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠑⢄⠀⠑⢄⣸⠿⢶⣤⣀⡀⠀⠀⠀⠀⠈⢻⡆⠀⠈⢻⠢⢴⡉⠒⢌⣆⢠⡟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⣌⣀⣀⣀⣉⣷⣀⣈⡉⠛⠷⡆⠀⢀⣠⠾⢃⣤⠤⢤⣳⡀⢱⡀⠀⣿⡿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠈⠏⡓⢦⣠⠶⢋⡥⣾⠭⠊⠀⠀⠘⣷⡀⢡⣰⣽⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⢠⡇⡇⠀⢹⣿⣅⢲⠃⠀⠀⠀⢀⣴⣿⡵⠁⣿⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⣾⢧⠀⠀⢸⢣⠈⢷⡀⠀⠀⣰⣿⣿⠊⠀⣠⣿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠘⠢⣷⣄⣈⣿⣆⠀⠹⣦⣼⣿⠟⠁⢀⠔⢁⡏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⡟⠳⣄⡀⣀⡄⠀⠀⠀⠀⠀⠉⠛⠫⠬⣑⢶⣿⣿⡏⢀⡔⠀⢀⡼⠁⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⣿⣿⣿⠟⣁⡔⢛⣿⡿⠈⢲⡤⣀⣀⣤⠀⠀⠀⠀⠈⠻⣿⡀⠉⠛⠒⠚⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣿⡿⢯⡿⡣⠚⠉⢡⡿⠟⣡⠶⠽⠿⢿⢠⠋⣳⠄⣀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣿⠟⢡⡾⠋⠉⠀⢠⠟⣡⠞⠁⠀⠀⠀⣇⡎⣴⣁⡀⣙⡿⠖⣦⣈⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⡾⣡⠞⠁⠀⠀⠀⠀⣼⠞⠁⠀⠀⠀⠀⢰⣿⡟⢩⠈⠋⢻⡃⢠⡿⠽⣻⠟⢳⣄⠀⠀⠀⠀⠀⠀⠀ ⢀⣿⡟⠁⠀⠀⠀⣀⣠⣴⣷⣖⠒⠾⠿⠷⠶⣾⡿⠤⢼⠀⠀⢸⢀⡟⠀⠤⠃⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀ ⣼⠋⠀⢀⣠⡶⠟⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⢳⠀⠈⡇⠀⢸⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠋⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠛⠔⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣆⣰⡦⠖⣤⡀⠀⢀⡎ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡆⢀⡀⢰⠀⠀⡼⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⡤⢾⢷⣌⣁⣝⠀⣰⠁⠀ ⠀⠀⠀⠀⠀⠀⡀⠈⡔⠀⠈⡜⢅⠈⢙⣶⠃⠀⠀ ⠀⠀⠀⠀⠀⡼⠀⡘⠀⠂⡌⠀⠀⠁⠻⡍⡆⠀⠀ ⠀⠀⠀⠀⠘⢁⢠⠀⡏⠰⠂⠤⠤⠀⣀⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⡈⠆⡘⠀⠿⠿⢷⠀⢠⣷⠏⣰⠀⠀ ⠀⠀⠀⠀⡰⠘⢠⠁⠸⠀⠀⠀⠀⠠⢸⠀⣿⠀⠀ ⠀⠀⠀⡐⡅⠀⡄⠀⡧⡀⠀⠐⠒⣠⠃⠀⡇⡄⠀ ⠀⠀⠐⣸⠃⠀⠀⠰⠒⠺⣢⡤⢔⢡⢼⢠⢇⠇⠀ ⠀⠀⠀⠑⡜⡄⠀⠀⢃⠀⠙⡤⠒⡁⠊⡨⢺⠀⠀ ⠀⠀⣠⣘⠉⠉⠂⠤⠄⠐⠤⠘⠉⡅⠚⡦⣄⠀⠀ ⠀⠔⠅⡀⠑⢄⠀⠀⠀⠈⠢⡀⠀⠁⠀⢰⢸⠄⠀ ⢸⠀⠀⠀⠐⠀⡡⡀⠀⠀⠀⠀⠠⠀⠀⠀⢣⡘⠀

⠀⠀⠀⠀⠀⢠⠋⠀⠀⠀⠀⠀⠀⠀⢀⡤⠤⠤⣀⡀⠙⣆⠧⠦⠈⢀⡤⠒⠉⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠃⡰⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⣀⣽⣦⠘⠀⢀⡼⠗⠛⠓⢶⣄⠀⠀⠀⠀⠀⠱⡌⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠏⢰⠃⡄⠀⠀⠀⢠⠎⠀⠀⠀⢀⡾⠿⡜⢿⡇⣠⢋⣠⢤⣄⠀⠀⠻⣧⡀⠀⠀⠀⠀⢻⡄⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡜⢠⡄⣸⡁⠀⠀⢠⠃⠀⠀⠀⣠⠏⠉⠒⠶⣸⡟⢱⣯⠜⠓⠉⠳⡀⠀⠙⣷⡀⠀⠀⠀⠀⢿⡀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⠃⣾⠀⣿⠇⠀⢠⠃⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠙⠉⠀⠀⠀⠀⠀⠙⡄⠀⠘⣿⠀⠀⠀⠀⠎⣷⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡿⠀⣟⣰⡿⠀⢠⠇⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠘⣷⠀⠀⠀⢰⠸⡆⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡇⠀⢹⣿⡇⠀⡎⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠹⡆⠀⠀⣿⠄⢇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡇⠀⠀⣿⡇⢸⠁⠀⠀⣰⣇⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣄⣷⠀⠀⢿⠀⠀⣻⡀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡇⠀⠀⣿⠇⡏⠀⠀⢠⡇⠀⢀⢙⣲⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠉⠀⠀⠈⡆⠀⠘⡆⠀⣿⠁⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⡇⠀⠀⢿⢠⠇⠀⢀⡏⢳⣶⡟⢶⣗⠲⣝⡳⠤⠀⠀⠀⣠⠖⢋⣡⣾⠿⡿⢷⣶⣷⠀⠀⡇⢀⣿⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢹⡀⠀⠸⣿⠀⠀⡸⠀⠀⠉⠛⠚⠦⠞⠀⠙⠀⠀⠀⢸⠏⠰⠋⡸⠯⠿⠷⠞⠁⠸⡄⠀⡇⢸⡇⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢇⠀⠀⢸⠀⢀⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⡅⠾⠁⢀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⡆⠀⢸⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢹⡄⢸⠀⡄⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⡷⠎⡀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢧⢸⠀⡇⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠰⠁⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣾⢠⠀⡇⠀⠳⡀⠀⠀⠀⢀⣀⣤⣖⡊⠑⠒⠊⡓⢤⣀⡄⠀⠀⢀⠞⢹⢀⡇⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⡟⠸⡇⠀⢠⠙⠦⡀⠀⠀⠈⠳⣄⡈⠉⠉⠁⣠⠟⠁⠀⠀⣰⡏⠀⣼⣼⠃⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣿⠀⣾⠃⠀⣸⠇⢠⠙⣦⣄⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⣠⣾⡟⣷⠀⣿⣿⡄⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡼⠃⣸⡏⠀⢠⢿⠀⣾⣠⡇⠘⢷⣄⡀⠀⠀⠀⠀⠀⣠⢾⡿⡏⢁⢸⠀⢸⡿⡇⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠞⠀⣰⡏⠀⢠⠋⠇⠀⠀⣇⣇⠀⠀⠙⢿⣿⢿⣾⡿⣍⢠⠞⠁⡇⠘⠈⣆⠈⣿⢻⡀⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⡴⠊⣀⡠⢾⡿⠀⠀⠀⠀⢰⠚⢹⣿⣿⠀⠀⠀⠀⠈⠙⠻⠦⠚⠁⠀⠀⣧⢿⡛⠻⡄⠘⢆⠳⣸⢹⡄⠀⠀⢤⡀⠀⠀⠀⠀⠀⠀⠀ ⠛⠉⠉⠁⢠⣿⠃⠀⠀⠀⠀⢸⡄⠀⢣⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⢰⠃⢀⡇⠀⠀⠑⠫⢦⣷⡀⢀⡟⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⢿⠃⠀⢀⣶⠤⠔⠚⣟⢄⠀⠙⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠁⢀⣾⠛⠲⢤⣀⢀⠀⠙⢻⠋⠁⠈⠁⠀⠀⡀⠀⠀⠀ ⣀⣠⡴⠧⠖⠒⠋⠉⠀⠀⠀⠀⠸⡄⠳⡤⠘⢳⠀⠀⠀⠀⠀⢀⠀⠀⢠⠏⠒⡶⠂⡞⠀⠀⠀⠀⠉⠓⠢⢤⣷⡀⠀⠀⢠⠾⣿⡀⠀⠀ ⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣽⡀⠸⡀⠘⡄⠀⠀⠀⠀⠘⠀⠀⡜⠀⢠⠃⣸⣧⣤⣀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠲⡇⠀⢹⣇⠀⠀ ⠀⠀⢀⣀⣀⣀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣄⣃⠀⢳⠀⠀⠀⠀⠀⠀⢰⠃⠀⣼⡔⠁⠀⠈⠙⠻⠶⢦⣤⣤⠀⠀⠀⠀⠀⢱⠀⠈⣻⣦⡀ ⣼⣷⣾⠿⠿⠛⣛⠛⣿⡿⠿⢟⡛⠭⣑⣻⡿⢶⠞⢀⣀⠀⠀⢀⠀⠈⢳⠒⠻⢦⣄⡀⠀⠐⡦⢄⡀⡈⠙⢿⣷⣦⣤⣀⠈⡇⠀⢿⡇⠙ ⠉⠀⢀⡠⠄⠒⠋⠉⢀⣠⡥⠴⠚⠋⠉⠀⢀⡞⠀⠀⠉⠃⠲⠉⠀⠀⠀⢣⠀⠀⠀⠉⠓⠦⣄⡀⠯⠓⠷⣦⣽⣿⣿⣿⣷⡇⠀⢸⡇⠀ ⠀⠀⢀⣀⣠⠴⠒⠋⠉⠀⠀⠀⠀⠀⠀⣀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠉⠳⢦⣍⣢⣝⠻⣿⣿⣿⡇⠀⠘⡇⠀

⡀⠀⠢⠀⠀⠀⠀⠀⠘⣇⠀⠀⠈⢂⠀⠤⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⢆⡀⠈⠠⢀⠀⠀⠀⣸⡦⠀⠀⠀⠡⠄⠀⠀⠱⢄⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀ ⢄⠀⠐⠢⡀⠀⠁⢲⡾⡏⠈⢆⠀⠀⠂⡌⠢⡀⠀⠀⠙⢆⠀⠀⠀⣴⢿⠀⠀⠀ ⠀⠑⢄⡀⠈⠐⠠⡼⡇⠁⠀⠈⡢⡀⠀⠀⠀⠈⠢⡀⢀⠎⢀⠤⠊⣅⣾⠀⠀⠀ ⠀⠀⠀⠈⠲⣴⣼⠅⢹⠙⠒⠁⡐⠙⣄⠀⠀⠀⢀⣈⠿⣿⠁⠘⢿⢏⡼⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⢿⣀⠈⠀⠀⠘⠀⠀⢈⡷⠖⠪⠉⠐⠈⠀⢀⡠⠞⢁⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣷⢵⡇⠀⡐⣡⡀⢚⣁⣀⡀⠂⠀⠤⣀⠔⠉⠀⠠⣾⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣿⣽⡞⠛⠧⠤⣤⣄⡀⠀⠈⠩⣖⠃⠀⠀⡰⡵⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠿⣿⠇⠀⢿⣿⣯⡶⠄⠀⠀⠀⢹⠄⠀⡪⠞⡱⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡇⣰⠁⢀⣀⠀⠁⠁⠀⠈⠀⠀⢠⡃⠔⠊⢀⣰⠉⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢼⣏⠛⢳⠚⠛⠁⠀⠀⠀⢀⡠⠖⠁⢠⠀⠀⣼⡁⠀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣽⠶⣤⣄⣀⡀⠀⢀⠔⠉⢀⠐⠈⠀⡠⠊⠀⠻⣏⣁⡤⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⡿⠳⢯⢱⣮⡧⢀⠌⠀⡌⢁⠀⢀⠌⠀⠀⢀⠀⠘⢖⣙⡡⠀⠀ ⠀⠀⠀⠀⠀⠘⣷⣶⡾⠿⢿⠯⢍⠉⠅⠈⠭⢝⣷⡉⠒⡦⠤⣥⡤⠬⠆⡀⠀⠀ ⠀⠀⠀⠀⢀⠄⠺⡗⣤⠖⠚⠒⠀⠚⠓⠒⠒⠲⡍⣧⠊⠄⢖⠂⠋⠙⠲⣄⠀⠀ ⠀⠀⢠⠔⢁⠠⠘⢿⡇⢠⣤⣄⠀⠀⠀⠀⠀⠀⣀⡏⠐⠀⠀⠀⠐⠒⠂⠁⠵⢄ ⠀⠀⠁⠊⠀⠀⠀⢸⣧⠀⣽⡿⢿⡇⠀⠀⠀⠀⢬⡇⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⡴⠛⢻⠓⠦⢿⠈⡟⠁⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠞⠁⠀⠀⢸⠀⢀⠼⡀⢣⠀⠀⠀⠂⠀⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡔⠃⠀⠀⠀⠀⢸⣀⢨⠃⡇⠸⣼⠀⠀⠀⢀⡞⠐⡗⢄⣀⠀⠀⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣾⠀⠁⠀⠏⡄⠀⠀⣴⠃⠀⡄⡇⠘⣷⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠽⡷⣸⠀⠸⠑⡀⢘⠇⠀⢰⢠⠉⢄⢫⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠈⣮⠁⠒⡖⠂⠌⠀⣠⡋⠂⢀⣨⠂⠸⡈⠀⠀⠀

⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⣶⣶⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⡿⢛⣿⣿⣿⣿⣿⣿⣿⣿⡛⢿⣦⡀⠀⠀⠀ ⠀⠀⣰⣿⡟⠀⠀⣿⣿⠿⠛⠛⠿⣿⣿⠀⠀⢻⣿⣆⠀⠀ ⠀⣰⣿⣿⣿⡀⠀⠹⣿⠀⠀⠀⠀⣿⠏⠀⢀⣿⣿⣿⣧⠀ ⢠⣿⣿⣿⣿⣿⣦⣤⣘⣇⠀⠀⣸⣁⣤⣴⣿⣿⣿⣿⣿⡄ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⠟⠛⠛⠻⣿⣿⣿⣿⠟⡛⠛⠻⣿⣿⣿⣿⡇ ⢸⣿⣿⣿⣇⠀⠚⠛⠓⠈⠛⠛⠁⠚⠛⠓⠀⣹⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⣷⣤⣤⣄⠀⠀⠀⠀⣠⣤⣤⣾⣿⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠘⠻⠿⣿⣿⣿⣿⣿⣿⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⠿⠟⠃ ⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠉⠋⠉⠉⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡠⠶⠛⠽⢪⢎⠕⠉⠉⠐⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡔⠉⠀⠀⢠⡱⠣⠂⠀⠀⢠⠪⠊⠹⡂⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⠀⠀⢀⣠⣿⠡⠁⠀⠀⢠⢳⠁⣼⡙⣎⢬⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⢻⣷⠒⠉⠀⠘⠇⠇⠀⠀⠀⠀⠟⡀⣿⣷⡼⢀⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⢸⠉⠀⠀⠀⠀⠀⡤⡀⠀⠀⠀⡆⡷⠉⣋⣷⣯⣟⣂⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠘⠀⠀⠀⠀⠀⠀⢡⢘⡶⠋⠒⠻⢥⣐⡾⡟⠹⢿⡏⢷⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⢸⡆⠀⠀⠀⠀⢀⡜⢁⣔⡿⠺⢕⡶⡧⢺⡴⡘⠺⡷⢚⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⡘⡳⠀⠀⠀⠀⢸⡇⣽⣾⣿⠖⣬⣿⢕⣞⢁⠳⣀⣉⠎⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠱⣋⣷⣶⣦⣄⠈⣿⡿⠯⢄⠈⠀⢂⠦⠏⡌⠀⣽⢇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢡⠛⠹⠉⠈⡄⠘⡀⠈⠢⠢⡄⢃⡰⢠⠁⠀⢺⠸⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢄⠀⢡⠀⡄⠀⠈⢀⡢⠀⠘⠉⠁⢂⠀⠀⠋⠃⢳⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠢⠀⢄⠁⠒⠊⠁⠀⠀⡈⠄⠀⠈⢄⣜⠀⠀⠡⣳⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⢂⠴⠜⠑⠨⠁⠀⠘⢄⠀⠜⠀⠑⠤⡀⡱⣃⠣⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢥⠀⠉⠀⠀⠀⠀⣠⡟⠂⡀⢀⣠⣾⣾⣿⡂⡀⢁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡦⠤⣤⣴⣺⣿⣷⣤⣾⣷⣿⣿⣿⣿⣿⣶⣵ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡇⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿ ⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣾⣿⢻⣇⣾⣿⠟⢸⣿⣟⢟⣿⣿⣿⣿⣿⣿⣿⢸⣿ ⠀⠀⠀⠀⢀⢾⢻⣿⣿⣿⠿⣵⡿⢟⢿⡃⠀⠈⠉⠑⠁⠀⣠⣼⡿⣿⡿⣿⣾⣿ ⠀⠀⢀⡔⠇⢸⢼⣿⡿⣻⣾⣿⠁⠀⠩⣧⡀⠠⡀⠀⢀⣰⣿⡽⠓⠁⢰⣿⣿⣾ ⠀⢀⠎⠆⠈⢺⢸⣿⣾⣿⣿⠇⠀⠀⠀⠈⠙⠻⠽⠛⠋⠉⠀⠀⠀⢀⣿⣿⣿⣿ ⠀⡬⠒⠎⠈⢹⠈⣿⣿⢟⠞⢁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿ ⠠⠁⠀⠈⠄⠈⣿⣿⣯⣾⣳⢈⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣐⣷⣿⣿⣿⣿⣿

⣢⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⢐⡢⡬⠭⣉⠝⣉⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣥⠀⠀⠀⠀⠀⠀⢀⣴⣥⣤⣙⡤⠥⢤⣢⣿⠋⠁⠈⠻⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⠗⡀⠀⠀⠀⠀⠎⠉⠁⠉⢻⣮⢊⡜⣿⠃⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢶⡀⠀⠀⢸⠀⠀⠀⠀⢀⣿⣂⠀⣹⣦⡀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢚⡄⠀⠈⣄⣀⣀⣠⣾⠟⡍⠉⠡⡙⠿⠷⢶⡶⠛⠇⢠⣢⣤⣄⠀⠀ ⠀⠀⠀⠀⠀⢪⡄⠀⠘⢟⠛⢫⠣⢀⡁⠀⠀⢑⣄⠔⠁⢈⣌⣴⢵⣫⡿⠿⠀⠀ ⠀⠀⠀⠀⠀⠀⢪⣆⠀⠀⠑⡪⡕⣄⣀⣀⣀⣀⠠⣅⡞⢉⡍⣳⠝⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⢯⢆⠀⠀⡬⠳⣼⡑⣾⣀⣾⢂⡱⢀⣿⡶⠃⠀⠀⢀⠤⠄⠀ ⠀⠀⠀⠀⠀⣰⢧⠀⢫⣆⢠⠀⢣⣹⠄⣿⢋⣾⠡⢆⠞⡿⠁⠀⠀⢀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⢇⠉⠀⢠⢡⣮⠤⣘⣯⡂⠠⠤⠀⠐⡖⢠⡇⢀⢠⡖⣉⠤⠀⠀⢠ ⠀⠀⠀⠀⠀⠈⠒⠰⢵⣪⣿⣵⠉⠒⢯⢁⡇⠐⣃⠹⢱⠋⠀⠘⠍⡰⢮⠕⠂⠀ ⠀⠀⠀⠀⡠⡲⠦⠶⣶⣿⠵⣿⣦⣄⣈⢠⡀⡩⣄⣠⡧⣤⣤⣶⣮⠍⠁⠀⠀⠀ ⠀⠀⠀⢸⠇⠀⠀⠀⠀⡈⣿⠏⠂⠍⣉⠉⠙⠛⠛⠋⠀⣈⠹⠛⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⠓⠒⠐⠛⠉⢸⡇⠀⠀⠀⠈⠉⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀

⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜ ⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜ ⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜ ⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜ ⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜ ⬜⬜⬛🟫⬛⬜⬛🟫⬛⬛⬜⬜⬜ ⬜⬜⬛🟫⬛⬜🟫🟫⬛⬛⬜⬜⬜ ⬜⬛🟫🟫🟫🟫🟫🟫⬛⬛⬜⬜⬜ ⬜⬜⬛🟫🟫🟫🟫⬛🟩🟩⬛⬜⬜ ⬜⬛🟩⬛⬛⬛⬛🟩🟩🟩⬛⬛⬜ ⬜⬛🟩⬛🟥🏻⬛🟩⬛🟩🟩⬛⬜ ⬜⬛🟩⬛🟨🟥⬛🟩⬛🟩🟩⬛⬜ ⬜⬛🟩⬛🟥🟥⬛🟩⬛🟩🟩⬛⬜ ⬛🟫⬛⬛🟥🟥⬛⬛🟫🟫🟫⬛⬜ ⬛🟫⬛🟥🟥🟥🟥⬛🟫🟫🟫⬛⬜ ⬛🟫⬛🟫🟫🟫🟫⬛🟫🟫🟫⬛⬜ ⬜⬛⬛🟦⬛🟦🟦⬛⬛⬛⬛⬛⬜ ⬜⬜⬛🟦⬛🟦🟦⬛⬛⬛🟩⬛⬜ ⬜⬜⬛🟦⬛🟦🟦🟦⬛⬛🟩⬛⬜ ⬜⬜⬛⬛⬛⬛🟦🟦⬛⬛⬛🟩⬛ ⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🟩⬛ ⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⣳⠙⠷⣦⠤⠤⢤⣤⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟⣰⣿⣇⠀⠈⠹⣶⢦⣄⣈⠯⣍⡙⠛⠲⠶⢤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⢀⡟⠁⢹⡄⠀⢠⢤⣄⣘⠪⢷⣄⠙⠓⢤⣄⠀⠀⠙⠻⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡞⠇⣾⠀⠀⠀⣿⡀⠘⣆⠀⠈⠉⠙⠲⢯⣉⠒⢭⣳⢦⣀⠀⠈⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠁⡇⣧⡀⣿⠀⠀⠀⠈⢧⡀⠹⡄⠀⠀⠀⠀⠀⠈⠛⠦⣬⡳⣝⢷⣦⡀⠀⠹⣦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⣴⣇⠹⣷⢻⡀⠀⠀⠀⠈⢷⡀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠈⢻⣮⡳⡝⢿⣦⠀⠘⣷⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⢠⠞⠁⣾⡆⠙⢿⣷⡀⠀⠀⠀⠈⢳⣄⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣞⣆⠹⢷⡄⠘⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⡏⠀⠀⠸⣾⡄⠀⠙⠿⣀⠀⠀⠀⠀⠙⢷⡀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣗⡬⠻⡦⢽⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢻⡇⠀⠀⠀⠘⡽⣄⠀⠀⠈⠢⣄⠀⠀⠀⠈⠙⢦⡀⠙⢦⣀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣷⣟⣿⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢸⣿⡀⠀⠀⠀⠙⢮⡓⢦⡀⠀⠈⠓⢤⡀⠀⠀⠀⠙⢦⡄⠈⠳⠤⡤⠤⠤⣄⡀⠀⠀⠀⠙⣿⣿⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢣⣧⠀⠀⠀⠀⠀⠙⠢⣝⠦⣀⠀⠀⠙⠦⣄⠀⠀⢸⣧⠀⠤⠀⠈⣁⣄⡞⢟⠦⣀⠀⠀⣿⣿⣇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠈⢯⣧⠀⠀⠀⠀⠀⠀⠈⠓⢮⡓⢦⡀⠀⠈⠳⣤⣄⣻⠀⠠⣾⣿⣖⠚⠛⠛⣿⠺⣗⡦⢻⣧⣿⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠄⠀⠈⢮⢧⡀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢯⣳⢦⣀⠀⠉⠻⣷⣄⡀⠙⠲⢯⣝⡒⠃⠀⠀⢩⠿⠟⠙⣿⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡾⡆⠀⠈⢣⡙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢮⣟⠢⣤⣈⡟⠻⣶⣄⠀⠉⠛⠛⠛⣿⣧⣤⣴⡾⠿⣇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡹⣆⠀⠀⠳⣄⠉⠳⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⢭⣷⠀⠀⠙⢷⣄⡀⠀⡼⠧⣈⠳⣄⠀⠀⣿⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠈⠳⡀⠀⠈⠳⣼⡉⠛⠻⢽⣖⣤⣄⡀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠱⡉⠉⢧⠀⠈⠳⣼⣧⣰⡏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⣤⠬⠤⠤⠤⣤⣽⣦⣀⣀⣀⡉⠛⠻⢷⠀⠀⢀⣤⡾⠛⣁⣤⠤⠤⢤⣽⡄⠈⢧⠀⠀⢸⣿⡿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠈⡯⢹⠶⣦⣀⣠⡶⠛⣩⣴⣞⡭⠞⠀⠀⠀⠹⣽⡆⠈⣧⢀⡎⣼⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⢸⠀⠈⠛⣧⣴⠛⡡⡼⠉⠀⠀⠀⠀⠀⣠⣾⡾⣠⠛⣸⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⢸⠀⠀⠀⡟⡟⢷⣸⠁⠀⠀⠀⠀⢀⡼⣿⣋⠾⠁⢀⢏⡿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⠛⣺⠀⠀⠀⣇⡇⠀⠙⣦⡀⠀⠀⣠⣿⣞⡵⠋⠀⠀⡼⢸⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢬⡳⢄⡀⠹⣽⡄⠀⠈⢷⣆⣸⣫⣯⠎⠀⠀⡠⠊⠀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⡷⡟⢦⡀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠈⠓⠯⣽⣓⠙⠒⢤⣸⣿⣷⣳⠋⠀⣠⠊⠀⠀⣾⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⡾⣟⣿⣿⡾⠃⢀⣹⣗⣶⣾⠱⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⢦⡹⣿⠉⠻⢦⣼⣁⣀⣴⡾⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⣿⣿⡿⣿⡿⠋⢠⣔⣭⢤⣼⣿⡟⠀⣨⣿⣗⢢⡤⠴⡿⡄⠀⠀⠀⠀⠀⠀⠹⣿⡄⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⣿⣿⠯⣾⣟⡥⡞⠉⠀⢠⣾⠟⠃⣠⠾⠷⠾⠿⢿⠁⣼⠀⣹⠦⢤⣀⡀⠀⠀⠀⢺⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⡟⠁⣰⡿⠛⠋⠁⠀⢀⣿⠋⣠⠞⠁⠀⠀⠀⠀⡎⢰⠁⣴⡋⠰⠈⢻⣿⡶⢲⡄⠈⢿⣆⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⡿⠃⡠⠞⠁⠀⠀⠀⠀⠀⡾⣠⠞⠁⠀⠀⠀⠀⠀⢠⣇⣟⡾⡙⠛⠧⢞⣻⢱⠁⣼⣟⡻⢿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣴⠟⣠⠞⠁⠀⠀⠀⠀⠀⠀⢸⡏⢁⣀⣀⣀⣀⣀⣀⣀⣸⣿⡟⠀⣿⠀⠀⠀⣹⠀⢰⡟⠉⠉⣷⠋⠁⠙⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⣟⡾⠁⠀⠀⠀⠀⣀⣤⢴⣛⣿⠭⠥⠔⠒⠒⠒⠒⠒⠲⢽⡏⠛⠒⢾⡀⠀⠀⣏⢠⡟⠀⠙⠓⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠉⠀⠀⢀⡠⣖⡿⠗⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡄⠀⢸⡇⠀⠀⣷⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠼⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠈⡇⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡄⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣷⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⠿⠛⠛⠉⠉⠛⠛⠿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀ ⠀⠀⠀⣼⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣿⣧⠀⠀⠀ ⢰⣶⣶⣿⣿⠏⠀⠀⠀⠀⠀⣠⣾⣿⣿⣷⣄⠀⠀⠀⠀⠀⠙⢿⣿⣶⣶⡆ ⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁ ⢰⣶⣶⣶⣶⡄⠀⠀⠀⠀⠀⠙⢿⣿⣿⡿⠋⠀⠀⠀⠀⠀⢀⣴⣶⣶⣶⡆ ⠀⠀⠀⢻⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⡟⠀⠀⠀ ⠀⠀⠀⠀⠻⣿⣿⣿⣿⣷⣶⣤⣄⣀⣀⣠⣤⣶⣾⣿⣿⣿⣿⠟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⢿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠁⠀⠀⠀⠀⠀⠀⠀

⠀⣀⠤⠤⠤⠤⣒⣋⠉⣉⣉⠐⠠⣀⠀⠀⠀⠀⠀⠀⠀⠠⣪⣀⢈⣓⣒⣒⣒⣛⠓⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢨⠢⣀⣬⡢⠉⠀⠀⠀⠀⠈⠙⠢⣄⠑⢄⠀⠀⠀⠀⠀⠀⠉⠀⠉⠀⠀⠀⠀⠀⠈⠑⣌⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠑⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠈⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⠛⠛⠙⠛⠲⢤⣇⠀⠀⠈⠓⢖⡛⠒⠒⠲⠦⠤⣤⣀⣤⠤⢤⡏⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠈⠓⢄⠂⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠄⠄⣳⣤⠶⠛⠛⠛⠛⠳⣦⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⣰⣿⣿⣿⣷⣄⠀⠀⠀⠀⠑⠄⠀⠢⡲⡴⡀⠆⡇⡇⡌⠄⡠⠀⠀⢠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣾⣿⣿⠿⢿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠈⠐⠀⡴⠋⠀⠀⠀⠀⣀⣤⣴⣶⣦⠄⠀⠘⣇ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⡿⠉⠁⠀⣾⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠘⠁⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣷⡀⠀⣿ ⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣧⡀⠀⠠⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⣌⢊⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣧⡰⠃ ⠀⠀⠀⠀⠀⠀⣀⠤⣾⣿⣿⣿⣇⣀⣀⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⡜⠺⡹⠯⠯⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀ ⠀⠀⠀⠀⢀⡞⠁⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢸⠄⡁⢀⠀⠀⠀⢀⣾⣿⡿⠛⠛⢿⠿⣿⣿⣿⣿⣿⣿⡇⠀ ⠀⠀⠀⠀⣼⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⣀⣀⡴⠯⠴⠧⣾⣀⣀⣤⣿⣿⣿⡀⠀⠀⣠⣤⣾⣿⣿⣿⣿⣿⠀⠀ ⠀⠀⠀⠀⣧⠔⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠁⠀⠀⠀⠀⠈⠉⢉⣿⣿⣿⣿⡇⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⠀⠀⠀⢀⡟⠀⠈⠉⠤⢌⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⢀⣀⡀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢧⠀⠀ ⠀⠀⠀⢸⡇⠀⠀⠀⠀⢀⣀⠤⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠠⠔⠒⠠⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⡋⠀⠀ ⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⠿⠃⠀⠀⠉⠒⠂⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢿⠀⠀⠀ ⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠝⠋⠉⠉⠉⠙⠛⠻⠿⠿⠟⠁⠀⡜⡆⠀⠀ ⠀⠀⠀⠀⠹⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⡀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠈⣿⠛⠶⠦⣤⣤⡤⣵⣕⢄⡠⣐⣲⠭⠞⠀⠀⠀⡴⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⡏⠀⢈⣉⣐⣛⣽⣿⠹⣆⠐⢄⠀⠀⠀⠀⠀⡜⢁⠎⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠠⢄⣀⡀⢀⠀⠀⢠⡾⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣧⠀⠀⠬⠭⢲⣿⡇⢀⠋⢳⣄⡁⠀⠀⣷⠀⠃⠈⠰⡁⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⡠⣂⠤⢄⣀⡤⠖⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⠀⠈⠭⠍⢸⣿⣷⢼⠀⠀⡜⠙⠲⢦⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡡⠀⣠⠞⡴⠒⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⡆⠀⠩⡅⠘⣿⡏⠀⠗⠲⣧⣀⣀⣸⣈⣻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⡯⢤⣾⠭⡽⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠐⠀⠹⡧⠴⡄⢀⡅⠀⠀⢘⣉⣉⣯⣹⣦⣄⠀⠀⠀⠀⠀⢠⠧⠶⣶⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⠀⠀⢀⣑⣄⣈⣁⣽⠶⠚⠉⠉⠀⠀⠀⠀⣽⣷⡄⠀⠀⠀⢸⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣙⣦⠀⠀⢸⣀⣀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢤⣤⣀⣀⣀⣠⣤⣤⠴⢶⠟⣉⢝⡁⣠⣊⡤⢧⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠛⠒⠛⠓⠛⠋⠉⠁⠀⠈⢳⡈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣶⣶⣤⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠋⠉⠉⠙⣿⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⣤⣴⣾⣿⠇⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⣿⣿⣄⠀⠀⠀ ⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⡀⠀ ⠀⢠⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⢀⡄⠀⠀⠀⣿⣿⣿⣿⣿⡄ ⠀⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⢀⣾⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿ ⠀⣿⣿⣿⣿⣿⣿⠏⠀⠀⢀⣾⣿⡿⢷⣦⡀⣿⣿⣿⣿⣿⣿ ⠀⣿⣿⣿⣿⣿⠏⠀⠀⠀⠘⠛⠛⠃⠀⠙⠻⣿⣿⣿⣿⣿⣿ ⠀⢻⣿⣿⣿⡏⠀⠀⢀⣀⣀⣀⣀⡀⠀⢀⣤⣿⣿⣿⣿⣿⡟ ⠀⠀⣿⣿⡏⠀⠀⢀⣾⣿⣿⣿⣿⣧⣶⠟⠉⣿⣿⣿⣿⡟⠀ ⠀⣰⣿⡏⠀⠀⢀⣾⣿⣿⣿⣿⣿⡇⠀⠀⢀⣿⣿⣿⠏⠀⠀ ⣰⣿⡟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠁⠀⠀⠀ ⢿⣿⣄⣀⣀⣾⣿⠁⠈⠉⠛⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⠈⠛⠿⠿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⣾⠿⠿⠿⠿⢷⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⡿⠀⠀⠀⢠⣬⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣾⠟⠉⠛⢿⣿⣿⣿⠃⠀⠀⠀⠈⢿⣿⣿⣿⡿⠛⠉⠻⣷⣄⠀⠀⠀ ⠀⠀⣴⡿⠁⠀⠀⠀⠀⠈⠛⠏⠀⠀⠀⠀⠀⠈⠿⠛⠁⠀⠀⠀⠀⠈⢿⣦⠀⠀ ⠀⣼⡟⠻⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠟⢻⣧⠀ ⢰⣿⠀⠀⢠⡟⠛⢶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⠛⠹⣆⠀⠀⣿⡆ ⣾⡏⠀⢠⡟⠀⠀⢠⡟⠙⠷⣦⣀⠀⠀⠀⠀⣀⣤⠾⠛⢻⣆⠀⠀⠹⣆⠀⢸⣷ ⣿⡇⢠⡟⠀⠀⢠⡟⠀⠀⠀⣸⠟⠳⣦⣴⠾⠛⣧⠀⠀⠀⢻⣆⠀⠀⠹⣆⢸⣿ ⢿⣷⡟⠀⠀⢠⡿⠁⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⢻⣆⠀⠀⠹⣿⡿ ⠸⣿⡀⠀⢀⡾⠁⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⢻⡆⠀⢀⣿⠇ ⠀⢻⣷⣀⡞⠁⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⢻⣄⣾⡟⠀ ⠀⠀⠻⣿⣅⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⣠⣿⠟⠀⠀ ⠀⠀⠀⠙⢿⣷⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⣾⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠻⣿⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣾⠟⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⣿⣷⣶⣶⣾⡿⠿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣿⣶⣶⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠘⢿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠈⠻⣿⣿⣿⣿⣆⠀⠀⠀⢀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣀⣤⣶⣶⣌⠻⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⠁⣰⣿⣿⣿⣿⣿⣦⣙⢿⣿⣿⣿⠄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣦⣹⣟⣫⣼⣿⣿⣶⣿⣿⣿⣿⣿⣿⣯⡉⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⢻⣿⣿⣿⣿⣿⡇⠀⠀⠈⠉⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣴⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⡇⠀⠸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⢿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣶⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣧⣄⣐⣀⣀⣀⣀⣀⡀ ⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠁⠛⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁

⬜⬜⬜🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬜⬜⬜ ⬜⬜⬜🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬜⬜⬜ ⬜⬜🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬜⬜ ⬜⬜🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬜⬜ ⬜⬜🟩🟩🏻🏻🏻🏻🏻🏻🏻🏻🏻🟩🟩⬜⬜ ⬜🟩🟩🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🟩🟩⬜ ⬜🟩🟩🏻🏻⬛🏻🏻🏻🏻🏻⬛🏻🏻🟩🟩⬜ 🟩🟩🏻🏻🏻⬛🏻🏻🏻🏻🏻⬛🏻🏻🏻🟩🟩 🟩🟩🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🟩🟩 🟩🟩🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🟩🟩 ⬜🟩⬜🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬜🟩⬜ ⬜⬜⬜🟩🟩🏻🏻🏻🏻🏻🏻🏻🟩🟩⬜⬜⬜ ⬜⬜🟧🟧🟧🟩🟩🟩🟩🟩🟩🟩🟧🟧🟧⬜⬜ ⬜⬜🟧🟧🟧🟧🟧🟧⬛🟧🟧🟧🟧🟧🟧⬜⬜ ⬜⬜🟧🟧🟧🟧🟧🟧⬛🟧🟧🟧🟧🟧🟧⬜⬜ ⬜⬜🟧🟧🟧🟧🟧🟧⬛🟧🟧🟧🟧🟧🟧⬜⬜ ⬜⬜🟧🟧🟧🟧🟧🟧⬛🟧🟧🟧🟧🟧🟧⬜⬜ ⬜⬜🟧🟧🟧🟧🟧🟧⬛🟧🟧🟧🟧🟧🟧⬜⬜ ⬜⬜⬜🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬜⬜⬜ ⬜⬜⬜⬜🟦🟦🟦🟦🟦🟦🟦🟦🟦⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⠘⠀⠀⠃⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣿⣿⢀⠀⠀⡄⣿⢿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣿⢸⠀⠀⠀⠀⣇⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⣾⢀⠀⠀⠀⠀⡄⣿⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣿⢀⠀⠀⠀⠀⠀⠀⡆⣿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠛⠟⣿⢸⣿⢿⠛⠟⣿⣿⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣿⣿⣿⣿⣿⣿⢰⣇⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⠋⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠁⡿⣿⣿⣿⣿⣿⣰⠀⠀⣧⣿⣿⣿⣿⣿⢻⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠙⠈⠀⠀⠀⠀ ⠀⠀⠀⠁⡿⣾⣤⣀⣀⣤⣿⢿⠛⠛⠙⠉⠀⡟⣿⣿⣿⣿⣿⣠⠀⠀⠀⠀⣆⣿⣿⣿⣿⣿⢹⠀⠉⠛⠛⠟⡿⣾⣠⣀⣀⣦⣿⠻⠀⠀⠀ ⠀⠇⡿⣿⣿⠉⠛⠈⠀⠀⡏⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣼⢀⠀⠀⠀⠀⠀⠀⡀⣧⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⢸⠀⠀⠉⠛⡉⣿⣿⢿⠘ ⠀⣇⣿⣿⣿⣿⣿⣿⠉⠟⣿⣰⠀⠀⠀⣀⣿⣿⣿⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⣿⣿⣿⣿⢀⠀⠀⠀⣦⣿⠛⠏⣿⣿⣿⣿⣿⣿⢰ ⠀⡟⣿⣿⣿⣿⣿⣿⣼⣠⢀⠀⠀⠀⠀⠃⣿⣿⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⣿⣿⠀⠀⠀⠀⠀⡀⣤⣷⣿⣿⣿⣿⣿⣿⠸ ⠁⣿⣿⣿⣿⣿⣿⣶⢠⠀⠀⠀⠀⠀⠀⡟⣿⣿⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⢹⠀⠀⠀⠀⠀⠀⡄⣷⣿⣿⣿⣿⣿⣿ ⡄⣿⣿⣿⣿⣿⠙⠀⠀⠀⠀⠀⠀⠁⡟⣿⣿⢠⠀⠁⠋⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠙⠈⠀⡄⣿⣿⠻⠈⠀⠀⠀⠀⠀⠀⠏⣿⣿⣿⣿⣿ ⠀⣷⣿⣿⣿⣿⣿⢿⠻⠛⠛⠟⠿⣿⣿⣿⣿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⣿⣿⣿⣿⠿⠛⠛⠛⠿⡿⣿⣿⣿⣿⣿⣸ ⠀⠀⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣠⠀ ⠀⠀⠀⡀⣄⣦⣷⣿⣿⣿⣿⣿⣿⣾⣴⣤⣀⣀⣄⣤⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣴⣤⣤⣠⣀⣄⣤⣶⣿⣿⣿⣿⣿⣿⣿⣶⣴⣠⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢠⢶⠤⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡟⠞⢃⢈⢃⡢⣔⠭⡁⠒⢤⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡔⣟⣍⠀⠘⡄⢆⠀⠉⠐⢭⣵⣄⠙⢆⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⡐⢳⠱⣦⠀⠈⢆⠢⡀⠀⠀⠙⢷⡱⣌⢆⠀⠀ ⠀⠀⠀⠀⠀⠟⡀⠀⢣⠀⠑⢄⠀⠑⢌⠢⡀⠀⠈⠙⠾⣿⠀⠀ ⠀⠀⠀⠀⠀⡀⢧⠀⠀⠐⠔⣄⠑⠀⡀⠇⢀⣩⣝⢦⣄⣿⡆⠀ ⠀⠀⠀⠀⠀⣇⠈⢧⡀⠀⠀⠈⠋⢆⣌⡓⣬⡙⠢⡤⣬⢚⣹⡀ ⠀⠀⠀⠀⠀⠸⡡⡈⠪⣰⠦⣄⡀⠀⠈⠘⡇⠈⢢⠤⠓⢕⣀⡇ ⠀⠀⠀⠀⠀⠀⢱⠒⠒⠚⠓⢢⢍⣁⡠⢖⣵⠖⠐⢧⠡⢠⡟⠀ ⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⣸⠇⢸⡯⡘⠀⠀⣠⢞⠏⣼⠁⠀ ⠀⠀⠀⠀⠀⢀⠃⠀⠀⠀⠀⠫⢣⢈⣧⠈⢆⣴⡟⢁⠔⡍⠀⠀ ⠀⠀⠀⣠⣔⣿⠏⠰⣤⠢⣀⠀⢀⠉⠑⠫⣾⠻⠤⡡⠔⠁⠀⠀ ⠀⠀⣰⡟⣽⡕⠈⡼⢋⠒⠓⡏⢏⠆⣄⡀⠘⡆⠀⠀⠀⠀⠀⠀ ⠀⡰⡫⠊⠁⠀⣸⠔⠁⠀⢠⣽⢚⠒⢞⢡⠷⡿⢦⡀⠀⠀⠀⠀ ⢰⠟⠀⣀⡤⠶⠓⠛⠛⠓⠻⡇⢺⠀⢀⠊⠐⠁⠀⠁⠀⠀⠀⠀ ⠀⠀⠋⠁⠀⠀⠀⠀⠀⠀⠀⠰⡈⡄⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡠⢤⡶⣒⡽⠶⣦⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠾⠛⠓⠫⡭⢋⡾⠋⣠⠞⠁⠀⠀⠉⠑⣢⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠞⠙⠀⠀⠀⠀⣰⢃⡞⢁⡞⠁⠀⠀⠀⠀⢀⠔⡩⠛⠳⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣼⡏⠀⠀⠀⠀⠀⠀⡸⣡⠏⢠⠏⠀⠀⠀⠀⠀⡠⢋⡜⠀⣠⡈⠢⡈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡎⣿⠁⠀⠀⠀⠀⠀⡰⣵⠋⢠⠃⠀⠀⠀⠀⠀⡰⢡⠏⢀⣴⣷⠈⣦⡘⢦⣱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣞⡟⡏⠀⣀⠤⠔⠚⠋⡟⡟⢰⠇⠀⠀⠀⠀⠀⠀⢻⢸⡄⠸⢸⣿⣆⠘⣿⠄⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⢹⢰⣷⠉⠀⠀⠀⠀⠀⠓⠃⡿⠀⠀⠀⠀⠀⠀⠀⠈⡇⢣⠀⡿⣟⣿⣴⠟⢰⣼⣶⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡇⢸⠘⠋⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⡇⢘⡼⠙⠚⠝⢏⣶⡾⣻⣽⠧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠁⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠙⢢⡀⠀⢀⣀⠤⢸⣁⢺⠃⠀⠈⢗⢿⢿⣿⡏⣿⣶⣮⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⣹⣶⠗⠒⠊⠉⠻⣯⣖⢄⣑⣾⣯⠏⣸⢳⣿⣷⣌⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠁⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡨⡮⠋⢁⣤⣲⣤⡶⢤⣂⡬⡿⢋⣴⠏⢠⠃⡮⣬⣻⣤⡈⢧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⡇⠰⣿⡀⠀⠀⠀⠀⠀⠀⠀⣠⢊⠀⢀⡴⣯⡵⠏⠀⠽⢲⣼⠏⡼⠋⢸⣘⠏⢸⠀⠙⣿⢫⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢷⠀⡇⣷⠀⠀⠀⠀⠀⠀⠀⢻⣸⢀⣹⣷⣼⣿⣾⡗⢢⣤⡽⡾⣡⢤⡾⡜⢀⡟⣄⠀⠈⠉⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣆⣳⣬⣆⣀⠀⠀⠀⠀⠀⠸⣿⣤⣿⡿⠷⠿⠋⠀⡸⠛⢟⠕⡱⠋⣷⠁⣼⠀⠘⣆⣶⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⡇⣠⣴⣾⣿⣿⣷⣦⡀⠀⢹⣿⡿⠿⡷⢖⣂⠀⠀⠀⠈⣰⢣⠎⡇⢠⠃⠀⠀⣿⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⡌⠿⠟⢿⠛⢫⠔⢱⠀⠀⢧⠀⠀⠙⠤⣒⣚⣉⠀⠰⡧⠁⡞⠀⡎⠀⠀⠀⡿⡄⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠻⡀⠀⠀⢣⠁⠀⠀⡇⠀⠈⠣⡀⠀⠀⠈⠀⠸⢍⣛⣒⡺⠁⢸⠁⠀⠀⢀⣽⢧⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠈⡆⠀⠀⡇⠀⠀⠀⠀⠀⠱⡤⠀⠀⣴⠃⠀⠀⠀⢿⠀⠀⠀⢸⠁⠻⠄⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠸⡀⠀⠧⣀⣀⣠⠔⠊⠉⠀⠀⠀⠸⡆⠀⠀⠀⠘⡄⠀⢀⠇⠀⠀⠘⢆⠹⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣄⠀⠱⡀⠀⠀⠀⠁⠀⣀⠠⠀⠀⣀⡀⠸⡄⠀⠀⠀⠹⣄⡼⣄⠀⠀⠀⠀⢣⡹⣦⣄⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠸⡄⢀⣔⣊⣉⡤⠖⢋⠉⠀⠀⠀⠹⡀⠀⠀⢀⡞⠀⠀⠑⢤⡀⠀⠀⠑⡼⠃⡸⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⡈⢯⠁⠀⠀⣤⠔⠁⠀⠀⠀⠀⠀⠈⠳⣤⡊⠀⠀⠀⠀⠀⠉⠲⡤⣊⣴⣿⡄⠈⠑⢤⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⣧⢀⠀⠁⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠉⠓⢄⠀⢠⣀⢴⣿⣿⣿⣿⡿⡊⢀⠄⠀⢈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢢⣄⠀⠀⠀⠀⢀⣤⣾⣿⣷⢧⣄⣀⣬⢶⣯⣿⣿⣿⣿⣿⣿⣿⣿⣯⣠⠞⣩ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠙⠛⣾⣿⣟⣲⣙⣛⣟⣿⣭⣷⣾⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⢫⣾⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⣧⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⢿⡿⢀⣿⣿⣿⣿⠏⣯⣿⣿⣿⠙⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢹⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⢤⣔⣶⣾⣿⣿⣿⡿⣡⣿⢇⣾⣿⣿⣿⠛⠀⣿⣿⣿⣯⡼⢩⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡇⢸⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⢠⡿⠺⣿⣿⣿⣿⣿⣿⣿⢟⣼⣿⣿⡞⢿⣿⡟⠀⠀⠀⠘⠛⠛⠧⠚⠁⠀⠀⠀⣠⣼⣿⣿⡟⣻⣿⣿⢧⣿⣿⣿ ⠀⠀⠀⠀⠀⢀⡴⠃⣷⠀⣿⣿⣇⣿⣿⠟⣡⣿⣿⡝⠀⠘⣎⢻⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣉⡿⠛⠉⣟⣿⣿⡇⣿ ⠀⠀⠀⢀⡴⠋⢇⠀⢻⠒⣿⣿⣷⠟⣉⡾⣿⣿⣳⠁⠀⠀⠈⠳⣝⢆⠀⠀⣰⡂⠀⠀⠀⢀⡠⣟⣿⣧⠭⠛⠉⠀⠀⣸⣹⣿⣿⣹⣿ ⠀⠀⢠⡟⡇⠀⠘⠦⢾⠀⣿⣿⣁⣴⣿⣿⣿⣳⠃⠀⠀⠀⠀⠀⠈⠳⢽⣶⢶⠶⣶⣞⡿⠿⠛⠛⠉⠀⠀⠀⠀⠀⣰⣿⣿⣿⢧⣿⣿ ⠀⢠⠎⠁⢹⡄⢀⣀⣸⡀⣿⣿⣿⣿⣿⣿⣣⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣯⣾⣿⣿ ⢀⣯⠤⠒⡖⠉⠉⠛⢸⠄⢿⣿⣧⣿⣿⢳⠿⠋⠁⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⣿⣿⣿⣿⣿⣿⣿ ⢸⡇⠀⠀⠘⣆⠀⠀⢸⣶⣺⣿⣾⡿⣡⣿⡀⠀⠚⢡⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡠⣸⣵⣿⣿⣻⣿⣿⣿⣿ ⠞⡄⠀⠀⠀⠈⣆⠀⠀⣷⣿⣿⢟⣼⣿⣷⣝⠢⣤⣀⡊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡼⣠⢽⣾⣯⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⡀⠀⣀⠴⢖⣲⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣾⡟⠻⠏⢰⡱⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⢯⣟⡖⢲⡎⢶⡼⢁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠋⢸⣵⣶⣦⡽⣴⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡜⡝⠫⡒⢋⣏⡷⡀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⡠⠒⠛⠛⡐⠻⡏⠀⣰⡃⠁⡉⠫⡩⣎⠓⠂⠑⢦⠀⠀⠀⠀⠀ ⣺⠀⢀⣤⠊⡤⠪⠠⡾⠟⢻⠅⡬⣧⡊⢺⣹⣶⠀⠀⢃⠀⠀⠀⠀ ⡘⠀⠫⠟⠟⠀⣀⠃⢣⡀⠀⠡⡈⡟⣧⡈⠉⠁⠀⢀⠸⠀⠀⠀⠀ ⡇⡆⠒⠂⠠⠯⠐⠀⡟⠝⢄⢁⢱⠁⣃⠉⠦⢀⠮⠕⠁⠀⠀⠀⠀ ⠈⡴⡀⠀⠀⠀⠀⠀⠱⣸⣞⡆⣺⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠲⠧⠃⠀⠀⠀⠀⠀⢠⢎⣠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡎⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠰⠉⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠠⠼⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡶⠦⢴⠂⣤⡤

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⠤⠴⠒⠚⠛⠋⠉⠉⠉⢹⣿⠛⠛⠛⠓⠒⠦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠶⠚⠉⠉⠁⠀⠀⠀⣀⣤⣤⣄⡀⠀⠀⠈⢳⠀⠀⠀⠀⠀⠀⣷⠀⠈⠉⠙⠲⠶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠛⠻⢤⣀⣀⣀⣀⠤⠶⠾⠛⠉⠀⠀⠀⠀⠉⠛⠦⣴⣏⣀⣀⣀⣀⣠⣞⡁⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⠛⠁⠀⠀⠀⠀⢀⣽⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠛⠋⠉⠉⠉⠁⠉⠉⠛⠲⢦⣄⣀⣀⠀⠀⠀⠀⠀⠉⠓⢦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⢿⣩⠀⠀⠀⢀⣠⠴⠶⠛⠳⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡏⠉⠉⠉⠉⠙⠳⣤⡀⠀⠹⢦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠞⠁⠀⣿⠀⢀⣠⣾⠀⠀⠀⠀⠀⠀⠙⠲⣄⠀⠀⠀⠀⣀⣠⣴⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀⠀⠀⠀⠀⠘⣷⣴⠞⠁⠙⢦⡀⠀⠀⠀ ⠀⠀⢠⣾⠋⠀⠀⢸⡿⠚⠋⠉⠙⢷⣄⠀⠀⠀⠀⠀⠀⠈⠷⣤⣶⣾⠿⠛⠉⠙⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠿⢷⣄⠀⠀⠀⠀⠀⠀⠀⠙⣿⣧⠀⠀⠀⠹⣄⠀⠀ ⠀⢠⣾⠋⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀⠙⢧⡀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠈⢻⡄⠀⠀⠀⠀⣠⠔⠛⠁⠀⠀⠀⠙⢷⡀⠀⠀⠀⠀⣠⡞⠋⠉⠛⠲⢤⡄⠈⣦⡀ ⠀⣿⣿⠲⣦⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⣸⣿⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⢸⡅⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⢈⡽⠶⠶⢶⠾⠉⠀⠀⠀⠀⠀⠀⢹⡎⠉⢳ ⣿⡿⠃⠀⠈⠻⣿⡀⠀⠀⢀⣀⣀⣀⢠⡿⠃⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣀⣀⠀⢀⠀⠀⢀⣠⡤⠼⠿⡄⠀ ⣿⡇⠀⠀⠀⠈⣨⣿⣶⣾⣿⣿⣿⣿⣿⣷⣶⣤⣀⠀⠀⠀⠀⠀⠹⣦⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⣠⣿⣶⣾⣿⣿⣿⣿⣿⣷⣶⣟⠉⠀⠀⠀⠙⠂ ⢻⣷⣀⣀⣰⡟⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⣀⠀⣿⠀⠀⠀⠀⠀⠀⢀⣿⠶⠾⠏⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡈⢷⣦⣀⣀⡤⣾ ⠘⢿⣶⣾⣿⣿⢻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⡾⠿⣟⣿⣿⣧⣀⡀⠀⠀⠀⠀⣼⡏⠀⠀⠀⢀⣠⣶⡿⢟⣿⣿⢧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣯⣅⣶⡟ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⡁⠀⠀⠈⠻⣿⣿⠿⣽⣅⡋⠈⠀⣘⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⢿⣿⣿⡿⣟⡏⠐⠀⢀⣽⣿⢿⣿⡯⠼⠟⠛⠻⠿⣿⣿⠀⠙⠉⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⡄⠀⠀⠀⠙⣿⠷⣬⣻⣝⢳⣟⣿⣿⡿⠋⠈⠙⣿⣿⣿⣿⣟⣿⣿⡿⠛⠉⢿⢿⣿⣷⣶⣶⣿⠿⠟⣻⠟⠁⠀⠀⠀⣠⣾⣿⣿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⢿⣿⣿⣦⣀⣀⣀⣼⣷⣶⡿⠟⠛⠛⠉⢻⣧⣴⣶⣴⠇⠈⠁⠀⠈⠉⠉⣧⣠⣤⣀⠀⠈⢹⠾⠿⢿⣿⣿⣷⣶⣄⣀⣠⣾⣿⡟⠁⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡿⠀⠙⣿⣿⣿⣿⠟⠛⠉⠀⠀⠀⠀⠀⠀⢀⡞⠉⠙⠿⠷⠶⠶⣦⠤⠴⠖⠛⠙⣏⠁⣀⡤⠞⠀⠀⠀⠈⠛⠻⢿⣿⣿⣿⣿⡟⠀⠀⢿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠈⢻⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠁⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⢸⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⠋⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣆⠀⠀⢸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠀⠀⠀⠀⠸⡏⠀⠀⠀⠀⠀⠈⢷⣄⣀⡀⠀⠀⠀⠀⠀⣠⡤⠾⢿⡿⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⡟⠻⢷⣶⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⢐⡿⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⣀⣴⠞⠁⠀⠀⣼⡇⠀⠀⠀⠀⠀⡿⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⡏⠀⠀⡾⠋⠙⣷⠀⠀⠀⠀⠀⠀⡴⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⣿⠁⠀⠀⠀⠀⠻⣧⠀⠀⠀⣠⠞⢻⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⡟⠀⠀⣰⠃⠀⠀⢹⡀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⢰⣿⠻⡖⠛⠉⠀⠘⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣧⠀⣴⠛⠀⠀⠀⣾⠁⠀⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⢀⣿⡏⠀⡇⠀⠀⠀⠀⢹⣇⠀⠀⠀ ⠀⣤⣶⠒⠛⠛⠛⠛⣶⠖⠒⠒⠛⠒⠒⠒⠲⠾⠦⠤⠤⢤⣤⠤⠤⣤⣤⣤⣤⣯⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⣰⡟⠋⠀⠀⡇⠀⠀⠀⠀⠘⣿⠀⠀⠀ ⠰⣿⣧⣀⣀⣀⣀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣇⣀⠀⠀⠀⠀⠀⠀⠉⠉⠉⢹⠉⠉⠉⠐⠒⠲⠶⠶⣤⣤⣀⣸⣄⢠⡏⠀⠀⠀⠀⣷⣀⠀⠀⠀⠀⣹⠀⠀⠀ ⠀⣿⣿⣯⠉⠉⠙⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠛⠉⠈⠉⠛⠛⠲⣄⠀⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠉⠉⠙⠛⠒⠢⢤⡾⠛⠳⣦⣀⣀⣿⠀⠀⠀ ⠀⢻⣿⣿⡄⠀⠀⠘⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⠳⣆⣀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⢀⣀⣼⡄⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠉⢡⡿⠀⠀⠀ ⠀⠀⢹⣿⣷⠀⠀⠀⠀⢻⣧⡀⠀⠀⠀⢀⣀⣴⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠟⠉⠻⢦⡀⠀⠀⠀⣀⣤⠏⠀⠀⠀⠀⢠⡞⠁⠀⠀⠀ ⠀⠀⠀⠹⣿⣷⣤⠀⠀⠀⠙⣿⣷⣶⠶⠛⠛⠉⠉⠳⣄⡀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠈⠙⢦⣴⡿⠛⠛⠛⠲⢦⣄⣴⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⣿⣧⣄⣀⣸⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⣷⣄⣴⡶⠿⠟⠋⠉⠀⠙⢦⣀⠀⠀⠀⠀⠀⣀⡾⠁⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢀⣸⠟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠛⣿⣿⣧⣤⣀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣦⣤⠶⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⢰⡇⢀⣤⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⠿⢿⣿⣷⣶⣶⣤⣄⣰⡟⣍⣁⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠏⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⠴⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠻⠟⠻⠿⠿⢿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣯⡽⠷⠶⠶⠶⠒⠛⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣾⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠉⡿⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⣿⣯⣭⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣧⣀⣀⠀⠀⠀⠀⠀⠀⠞⣿⠷⠟⠻⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠉⣻⡄⠀⠀⠀⠀⠀⠈⡿⢄⣀⣀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢵⠀⠀⠀⠀⠀⣸⣧⣤⣭⡾⡻⡖⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣆⠀⠀⠀⠐⠘⢤⣤⢐⣶⠟⣉⠟⠛⠛⠉⠀⢷⢉⡎⣨⣗⡒⢄⠀⠀⠀⠀⠀ ⣿⣷⣶⡄⠀⠀⢠⣿⣿⠻⠧⠄⣠⠆⣀⣀⠠⢔⡾⢇⢡⠻⣿⡀⠀⣧⠀⠀⠀⠀ ⠈⠉⠉⠛⣻⣿⣿⣿⢸⡇⠈⠢⠀⣀⢝⠡⠒⠁⠀⠈⢲⡆⠘⢿⣦⠼⡄⠀⠀⠀ ⠀⠀⠀⠰⣻⢿⣿⣿⠺⣧⢀⠠⠚⢒⠐⠰⢄⠀⡠⠂⡡⢻⣖⡒⠖⠀⠘⡀⠀⠀ ⠀⠀⢀⣳⡏⠈⣿⣿⡰⠋⢗⠀⠂⡅⠉⠐⠲⠊⣠⠊⢠⡏⠘⡀⠌⢄⡤⢋⡄⠀ ⠀⠀⣼⣿⣧⠀⣿⣿⠀⠀⢸⡈⠆⠰⢀⠀⠂⢐⠀⠜⢺⡙⠷⢿⣍⠕⢻⢿⣕⠀ ⠀⢰⣿⡿⠿⠀⡇⠀⠀⠀⡟⢷⣘⠀⠀⠃⡆⢸⡠⡖⢻⣼⢳⡆⢹⡆⡹⡄⢺⠀ ⠀⡾⡞⣤⡄⢀⣤⣴⣄⠀⠧⣀⣨⣹⠉⡟⠉⣡⣀⣿⠼⣷⡄⠘⢤⣹⣠⣥⣼⢷ ⠀⣷⣿⣿⣧⣸⣿⡿⢄⠆⡠⠳⠰⠀⠂⠀⠀⠸⠀⠙⢊⡼⠙⡢⠄⠹⣥⣾⣻⡀ ⠑⢿⢿⠿⠻⡿⣟⠇⣾⡺⡅⠀⠕⠀⠂⠀⠀⠀⡄⠀⠌⠦⠀⠣⡀⡜⢔⠁⡹⠀ ⠈⠙⠲⣄⠠⣌⠯⠐⠫⢄⢱⠈⢁⣂⣄⡤⠀⠀⠀⠉⢀⠂⠑⡀⢸⡞⠳⡾⠁⠀ ⠀⠀⠀⠁⢢⠠⠒⠤⠄⣀⣏⠀⠀⢀⠄⠊⠑⢄⠀⠈⠎⢆⠀⠐⠄⣩⠉⠀⠀⠀ ⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⢱⠔⠁⠀⠀⠀⠀⠁⡀⠈⠌⠄⠀⠀⠘⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⢢⡀⠀⠀⠀⠈⢂⠈⣜⣀⠀⠀⠏⠄⠀⠀

⠀⠀⠀⣀⣀⣀⠀⠀⣀⣀⣀⣠⣤⢰⣦⣤⣀⢤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢳⠑⢟⠀⠀⠀⠀⢽⠉⢣⣿⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣸⢧⣟⡀⠀⠀⣠⡾⣭⣝⠻⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣋⣴⣿⣿⣿⣿⢻⠝⠜⣿⣷⣮⢂⢨⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣿⣿⣿⢙⣿⡟⢠⣏⠢⣬⢜⠏⠻⣿⣧⣛⡛⠛⢿⠓⠤⠀⠀⣀⣀⠀ ⠀⣠⢿⡿⠟⣡⣾⠟⢀⣞⣎⢬⡕⢿⢄⡀⠀⠈⠙⠛⠁⠼⠀⠀⠀⢰⣿⣟⣳ ⠀⠁⢨⡿⠿⠛⠁⡠⢺⢋⡜⣾⣹⣯⣵⣌⠐⠂⠤⠄⠠⠤⢒⡩⣤⢾⡿⡷⠁ ⠘⠤⠈⠤⠄⠒⠉⠀⡾⠱⡸⣡⢇⢿⢿⣿⠷⣄⠀⠀⢀⣤⣿⣧⣶⣱⠟⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠃⡇⠙⣟⠀⣢⣾⣦⠑⢼⣶⣾⣿⣿⣟⠾⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⢧⡘⣝⠄⣫⣿⠏⢏⣮⣸⠥⠂⡩⠗⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠚⠴⢻⠮⣴⠿⡌⠢⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⡔⢛⢳⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢙⡚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀ ⣠⠴⠶⢾⣿⣿⣶⣶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⢶⣾⣿⣿⣿⣷⡶⠶⢶⣿⣿⡿⠿⣿⣿⣿⠶⠶⢤⡀ ⡏⠀⠀⢸⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⠿⣿⣿⣿⠀⢸⣿⣿⡇⠀⠈⠛⠃⠀⠀⢸⡇ ⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠈⠻⠟⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⡇ ⡇⠀⠀⢸⣿⣿⣿⠀⠙⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⡇ ⡇⠀⠀⢸⣿⣿⣿⠀⠀⠈⢿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⡇ ⡇⠀⠀⢸⣿⣿⣿⠀⠀⠀⠈⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⡇ ⡇⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠘⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⣀⣼⣧ ⡇⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⢿⣿⣿⣿⡆⠀⠀⡀⠀⠀⠀⢀⣶⣷⡄⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⣀⣴⣾⣿⣿⡟ ⡇⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⠀⣾⣿⣧⠀⠀⢸⣿⣿⣿⠀⠀⠸⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⣇⣴⣾⣿⣿⣿⠟⢹⡇ ⡇⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⠀⣿⣿⣿⠀⠀⠸⣿⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⣀⣿⣿⣿⣿⣿⠿⠋⠀⠀⢸⡇ ⡇⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⣿⣿⣿⠀⠀⠀⣿⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⣀⣴⣾⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⢸⡇ ⡇⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⣿⣿⣿⡄⠀⣸⣿⣿⣿⠀⠀⠀⣿⣿⣧⣴⣾⣿⣿⣿⠿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⡇ ⡇⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⢰⣿⣿⣿⡿⠀⢿⣿⣿⣿⣾⣿⣿⣿⡇⠀⠀⢀⣿⣿⣿⣿⣿⠿⠋⠁⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⡇ ⡇⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⣸⣿⣿⣿⠇⠀⠈⠿⣿⣿⣿⣿⣿⠟⢀⣤⣾⣿⣿⣿⣿⠋⠁⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⡇ ⡇⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⢀⣿⣿⣿⡿⠀⠀⠀⠀⠈⠉⠉⢉⣤⣾⣿⣿⣿⡿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⡇ ⡇⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⣼⣿⣿⣿⠃⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⠿⠋⠁⠀⢾⣿⣿⠀⠀⣠⣦⡀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⡇ ⡇⠀⠀⢸⣿⣿⣿⠀⠀⢀⣾⣿⣿⣿⠃⠀⠀⠀⠀⣴⣿⣿⣿⡿⠛⠁⢀⣤⡀⠀⢸⣿⣿⠀⢰⣿⣿⡇⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⡇ ⡇⠀⠀⢸⣿⣿⣿⣤⣴⣿⣿⣿⡿⠁⠀⠀⠀⠀⢸⣿⠿⠛⠁⠀⠀⢠⣿⣿⡇⠀⣸⣿⡿⠀⠸⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⢸⡇ ⠻⢤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣯⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿⣿⣷⣶⣿⣿⣧⣤⣤⣽⣿⣿⣿⣿⣧⣤⣤⣤⣤⣤⣤⣤⠾⠃ ⠀⠀⠀⢸⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⠛⠛⠉⠀⢀⣀⣤⡀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⡀⠀⠀⠀⠀⠀⠈⣁⣤⣤⡄⠀⠀⠀⠀⠀⢀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢾⠁⠀⣹⠀⠀⠀⠀⠀⠀⢺⡟⠉⠉⠀⠀⠀⠀⠀⠀⢸⣿⠋⠉⠀⠀⠀⠀⠀⢠⡟⠉⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⠟⠻⠷⣦⡀⠀⠀⠀⣤⣾⣷⠶⠾⠃⠀⠀⠀⠀⣤⣾⣿⡶⠶⠓⠀⠀⠀⠀⢸⣧⡶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣸⣀⣀⣤⡿⠁⠀⠀⠀⠀⢸⣇⣀⣀⣀⣀⠀⠀⠀⠀⠀⣿⣀⣀⣀⣀⠀⠀⠀⢸⡇⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠈⠉⠛⠉⠉⠁⠀⠀⠀⠀⠀⠉⠙⠉⠉⠉⠀⠀⠀⠈⠁⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀

⣬⣯⣣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠻⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣲⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠛⠭⢿⣻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⡈⢿⣿⣿⢧⡽⣷⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⢸⣿⣿⣶⣶⣿⡟⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢇⣇⣯⣊⣻⣯⢿⣝⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠻⣿⣷⣶⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡈⣿⠛⠋⠉⠁⠈⠉⢻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢄⠀⠀⠀⠈⠉⠛⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣆⡀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡇⠈⠛⠯⣒⣒⣿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡜⣇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣷⣤⣤⣴⣶⣾⢟⣿⡏⢱⢦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣷⣦⠀⠀⠐⠂⠀⠀⠀⢰⢀⡇⠀⠀⠀⢀⣀⣠⡴⣺⠟⠻⣿⣿⣿⣯⣾⠔⠉⠈⣿⣄⠿⣦⡞⢙⠲⣦⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⣿⣷⠀⠀⠐⠀⠀⠀⠆⠈⠉⢑⣶⡟⢉⣜⢿⠟⠣⠤⠖⠉⠉⠉⠁⠀⠤⠤⠄⢽⣇⡠⣮⡆⣼⣾⣧⡤⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣤⣤⡀⠀⠀⠀⠀⠀⣠⣯⣿⣷⠾⢿⣧⣀⠀⠀⣠⣢⠀⠀⠀⠀⠀⣀⡤⢴⣿⡍⠈⣆⣯⣿⣿⡇⠀⠀⡠⢧⠀⠀⠀⠀⠀⠀⠀ ⠻⣿⣿⡿⢿⣿⣦⣔⣀⣠⢼⣯⣿⡿⢹⣼⠉⢣⡈⠙⠒⠷⠁⠣⠷⣶⠚⠉⣁⠴⠚⠁⠹⡄⣹⠀⠘⣿⣿⢆⠀⠓⢻⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠛⣻⣿⣿⣿⣿⣿⡁⢸⡟⠀⠀⠉⢢⢀⠀⠀⠲⡏⣡⠴⠊⠁⠀⠀⠀⠀⠙⣜⣇⠀⠈⣿⣿⣷⣤⣾⢧⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⢌⠾⣷⠀⠀⠀⠀⠸⣞⣉⣓⡛⠘⡄⠀⠀⠀⠀⠀⣀⠔⠉⣾⡄⢀⣀⣉⠋⣁⠔⠉⢣⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠏⣽⡟⢿⣿⣿⡾⡄⠑⣻⡆⢀⡠⠖⠉⠀⣀⡀⠈⠙⠺⢤⡀⠀⡠⠊⡡⣪⠞⢁⡟⣅⣀⠔⠫⠁⠀⠀⠈⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠏⣼⡟⠀⢸⣿⣿⣷⡇⣰⠟⢻⠫⢄⣀⠤⢒⠁⠉⡗⠢⠤⣀⡴⠋⠑⣪⠞⠁⢀⡾⠁⠹⡄⠢⡀⢣⠀⢀⣀⠾⢱⠀⠀⠀ ⠀⠀⠀⠀⣸⣾⣿⡄⠀⠀⣿⣿⣿⡷⠋⠀⠀⣷⠀⢃⠀⠀⢇⠀⠁⠀⠀⢸⠀⢀⡞⠥⣀⠀⣼⣷⣄⡀⠙⣄⡑⣄⡳⣟⣫⣄⣼⡆⠀⠀ ⠀⠀⠀⢠⣿⣿⣿⣿⠀⠀⣿⣟⣭⡇⠀⠀⠐⢺⣀⠈⢣⠀⢸⡄⡇⠀⠸⠋⠈⢺⠀⠀⡼⠓⢿⡈⢿⣿⣿⣯⡭⢭⠔⢛⣽⡷⣧⠘⡄⠀ ⠀⠀⠀⣾⡿⣿⣿⣿⡆⠀⡟⠋⠉⡇⠀⠀⢰⣚⣞⡆⠘⡄⠀⠁⠘⡤⢠⠀⡀⡼⠀⢠⠀⣠⡾⢹⣦⣄⠀⠉⢻⡏⣀⠤⡟⡇⠫⡹⡇⠀ ⠀⠀⢸⣿⢿⣿⠟⢻⠁⠀⡇⠀⠀⡇⠀⠀⢸⠈⠙⢞⡄⠇⠀⠀⠀⢸⠘⡆⠀⣇⡠⠶⡯⠘⣵⢆⡏⠹⣿⡄⢸⣿⠃⣀⠽⣧⡀⠹⡇⠀ ⠀⠀⣼⢨⢇⠘⠀⢸⠀⢰⠁⣀⣀⡇⠀⠀⢸⡆⢸⠀⠭⠉⢻⠉⠩⡝⢿⠉⠉⢉⡅⢴⣽⡆⢣⣿⣹⠀⠀⣷⡀⠀⢿⠁⠀⢸⠈⢰⣷⣦ ⠀⠀⡏⢻⣸⣾⣿⡟⠀⢸⣿⣿⣟⣷⢦⠀⠀⠙⢾⠶⠲⠷⢬⣇⣀⣧⣜⣀⣤⡿⣖⣾⡟⣾⢈⡷⣿⡄⠀⠀⠙⢷⣌⣷⠾⢿⣿⣾⠉⠻ ⠀⠀⣷⣼⣿⣿⣿⢇⡀⣼⣿⣿⣻⢧⠀⡇⠀⢀⡼⢗⡄⡇⠀⢰⠀⠀⠀⠀⠀⢧⠀⠀⠙⠛⠋⣰⡟⠹⡗⢦⡀⠈⠻⣇⡤⣼⣻⢿⠀⠀ ⣄⣐⣿⢿⣿⣿⣿⣿⣿⣿⣿⣏⡿⠈⢻⢀⣠⠏⠀⠀⢧⠀⠀⢸⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⡸⡉⠀⠀⢿⠀⠀⠀⢄⡟⢙⣿⠲⣽⡗⠀ ⠀⠙⢯⠻⣿⠿⠯⠽⣽⢿⣿⣽⠁⠸⣿⣩⢿⡀⠀⠀⡼⠃⠀⠘⠀⠀⠀⠀⠀⠀⡆⠀⠀⣰⠡⠛⡖⠒⠚⠳⡀⢀⠞⠳⣉⡡⢀⣸⠀⠀ ⠛⠻⠶⣦⣄⠀⠀⠀⠀⠑⣵⠏⢀⣼⡟⠁⠈⣷⡤⠞⠳⠤⣄⠠⠀⠀⣠⠂⠀⠀⠈⠑⢲⠃⠀⢠⠈⢦⠀⠀⢈⣯⣑⣾⣍⣠⣿⠃⠈⠀ ⠀⠀⠀⠀⢹⣇⡴⠒⠲⣮⠙⠒⠉⠉⠉⠲⣄⢘⡇⠀⠠⠤⠤⠥⠶⣞⡁⠀⠁⠀⠀⠀⢸⠀⢰⠃⠀⠀⢣⡀⠘⢽⣏⢬⣙⡷⠁⠀⠀⠀ ⠀⠀⠀⠀⠘⠛⠲⢄⠀⣠⡤⢤⣀⣀⡀⠀⠸⡏⠀⠀⠀⠀⠀⠀⡠⠞⠉⠳⣄⠀⠀⠀⠀⢧⠘⢆⠀⠀⠀⢱⡀⠀⢟⠉⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠀⠀⣨⠋⠀⠀⠀⠀⠀⠉⢲⠶⠷⢤⡀⠀⢀⡴⠊⠀⠀⠀⠀⠈⠢⡀⠀⠀⠈⢆⠹⡄⠀⠀⠀⠉⠁⢾⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠑⠄⠁⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⢻⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⡀⠀⠈⢆⠘⡄⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠤⠤⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢄⠀⠈⣆⠹⡀⠀⠀⠀⠀⢸⡷⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣄⠀⠀⠀⠀⠀⠀⠀⠈⢦⡀⠘⣄⣃⣤⡀⠀⠀⡼⠀⢱⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⡄⣀⡠⠔⠒⠒⣤⢀⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡰⢩⢡⠀⠀⠀⢹⠨⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡔⢑⡀⡀⠠⢢⡖⠠⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⡹⣦⣙⡎⢸⣏⣴⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⣅⠍⣁⢲⠏⣈⢼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡌⢧⡨⠧⣴⠁⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣾⢾⣃⣀⡺⢿⣻⢢⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣮⡷⣄⢿⣦⠧⣾⡿⣯⣻⡍⢠⠖⠉⠉⠐⠄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⢴⣟⠛⠽⢯⣭⠵⢞⣩⢟⡅⠀⠀⡇⠀⠀⠀⡠⠒⢳⠀⠀ ⠀⠀⠀⢀⠔⠉⡠⠊⢩⡷⢶⢠⠒⠲⣩⠀⠀⠉⠀⢄⡇⠀⢀⠎⠀⠀⠈⡀⠀ ⠀⠀⡔⠱⢀⠄⠁⠀⠈⠀⠚⠃⠀⠀⠈⠀⠀⠀⠀⠀⢹⠒⠺⠤⠄⣀⢠⣧⠀ ⠀⠀⡁⠀⠎⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠉⢸⠀ ⠀⠀⠓⡼⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⣀⠔⠹⡄⠀⠀⠀⠀⠀⠸⠀ ⠀⠀⡷⠀⢃⠀⠀⠀⠀⡠⠈⠂⠤⠄⠀⠀⠒⠈⠀⠀⣠⢃⠀⠀⠀⠀⠀⠀⡆ ⠀⢰⠁⠀⠈⡦⠔⠀⠉⢀⠀⠄⡀⠀⠀⠀⠀⠀⠀⠐⢁⣽⣧⡀⠀⠀⠀⠀⢁ ⠀⢸⠀⠀⠀⡇⠀⠀⠠⠊⢰⠀⠈⠁⠐⡆⠀⠀⠀⠀⠁⠐⡱⠗⢄⠀⠀⠀⠀ ⠀⠸⠀⠀⠀⠐⠄⢠⠁⠀⣀⠄⡀⠀⠀⠇⠀⠀⠀⠀⠀⡰⡗⡔⠈⠂⠀⠀⠈ ⠀⡰⡷⠀⠀⠀⠸⠀⡕⠉⠀⡀⠀⠀⠀⠇⠀⠀⠀⠀⡔⢠⢀⠁⠀⠀⠀⠀⠀ ⢠⠁⠀⠀⠀⠀⢀⢧⡇⠀⠀⠡⠀⠀⠀⢠⠀⠀⠀⠀⠀⢸⠈⡄⠀⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⢀⠎⡄⠐⠈⠁⡇⠀⠀⠀⠘⡀⠀⠀⠀⠀⠘⠄⠰⡀⠀⠀⠀⠀ ⠁⠀⠀⠀⡠⠂⠀⡅⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡀⢱⡀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠔⠒⠒⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠊⠀⡠⣂⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⡠⠞⣡⠤⡕⢕⢄⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡧⢪⣮⡢⣿⣤⣤⢚⠧⡑⢄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡘⢠⢹⣥⡼⣔⢜⣔⢧⡴⢿⡄⢾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠇⡆⠈⡟⡛⡋⠉⠙⠛⢡⢿⠈⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡄⡇⠀⢛⣍⣪⣛⠀⠨⠋⡆⠇⠃⢛⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠔⠲⠚⡰⠐⢜⡈⢧⣲⣀⣘⢿⠎⣦⢲⠠⢸⠍⢒⡒⠤⢀⠀⠀⠀⠀ ⠀⠀⢀⢃⢀⠄⠀⢑⣕⣠⡙⠪⠂⢀⣴⡓⣚⣒⠵⡵⠱⠌⠁⠀⠀⠤⠑⠤⡀⠀ ⠀⢀⣾⠹⠀⠁⡶⡠⡙⣩⣫⣷⣿⡋⠀⠀⠀⠀⣀⠀⡤⠔⠒⠉⢁⠿⢆⠠⠱⠀ ⢀⠾⡠⠀⠀⣸⠁⡑⢌⢦⡻⣟⡻⠁⢂⠩⡫⢑⠡⢐⡇⠐⠀⡴⠁⡴⠋⢡⢱⡇ ⢸⣆⡱⣸⣠⠻⡁⡈⠦⣙⡷⣿⣷⣦⣑⠡⢊⠠⡢⠑⡇⠀⡼⡡⠚⢁⠴⢛⡈⡇ ⢸⠂⠓⡌⣟⢕⡨⢪⡐⣾⠛⠀⠀⠈⢇⣂⠕⢃⣉⠀⠠⢼⠏⢀⣔⣙⣀⡨⡇⡇ ⠈⡶⢋⠒⡏⠦⡬⠍⠛⣿⣶⣀⣀⣴⡇⠤⠤⣄⣀⣒⡀⣉⡏⠺⠢⣄⣀⡤⡇⠃ ⠀⠏⠉⠀⠹⠅⠐⠈⠁⠊⠛⠀⠟⠙⠍⠒⠠⠀⠀⠀⠀⠐⠍⠐⠚⠒⠈⠒⠳⠐ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⠤⠴⢤⠤⣤⠤⠤⠦⠤⠴⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠤⠤⠄⣀⠀⠀⠀⠀⠀⠀ ⢀⣀⠀⠀⠀⠀⡠⠒⠉⠀⠑⣄⠀⠀⠀⠀⠈⠒⢄⠀⠀⠀ ⠸⡄⢆⠀⢠⣎⠀⠀⠀⠀⢠⠋⠁⠢⡄⠀⠀⠀⡔⢣⠀⠀ ⠀⠱⡈⢆⠈⡇⠀⠀⠀⢠⠃⠀⠀⠀⠘⢄⠀⢠⠁⠀⡆⠀ ⠀⠀⠱⡈⣴⠁⠀⠀⠀⡏⠀⠀⠀⣀⡀⠈⢦⡎⣀⣀⡃⠀ ⠀⢠⠊⠉⣯⡀⠀⠀⠀⠙⣄⠀⠙⠒⠚⠁⡠⣌⠑⠊⢱⠀ ⠀⠈⠀⠀⠇⠈⠑⢦⠀⠀⠈⢢⠀⠀⠀⡴⠃⠈⢢⠀⢸⠀ ⠀⠀⠀⢠⠀⠀⠀⢸⠀⠀⠀⠀⠑⡤⠊⠀⠀⠀⠀⠑⢺⠀ ⠀⠀⠀⢸⠀⠀⡆⠉⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⢀⣦⠧⣄⣤⢤⢤⣴⢁⣤⣤⣀⢠⡤⡤⣤⢰⣄ ⠀⠀⠀⢸⠉⠉⠊⡏⡏⠑⢹⡋⡇⣿⣯⢼⣽⡌⠉⢨⡁⠁ ⠀⢠⠀⠘⠉⠂⡔⠋⠓⠀⠚⠉⠑⠪⠼⠊⠉⠓⠀⠚⠑⠃ ⠀⠈⠒⠤⡇⠀⢁⠀⠀⠀⠀⠀⣠⠠⣤⠀⠀⢀⣀⣀⡇⠀ ⠀⠀⠀⠀⢳⠤⠬⠭⠭⠭⠭⠭⡇⠀⢧⠬⠭⠤⠐⢒⠇⠀ ⠀⠀⠀⠀⠈⢏⠀⠒⠒⠒⠒⡺⠁⠀⠈⢯⡉⠉⢉⠝⠀⠀ ⠀⠀⠀⠀⠀⠀⠑⠒⠀⠐⠊⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⣴⣴⣾⠖⠶⣾⠳⠶⡦⢠⡢⡢⣶⠢⠀⠀⠀⠀

⬜⬜⬜⬜⬜⬜⬜⬜🟫🟫🟫🟫⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜🟫🟫🟫🟫🟫🟫🟫🟫🟫⬜⬜⬜⬜⬜ ⬜⬜⬜⬜🟥🟫🟥🟥🟥🟥🟥🟥🟥🟥🟥⬜⬜⬜⬜ ⬜⬜⬜🟥🟥🟩🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥⬜⬜⬜ ⬜⬜⬜🟥🟥🟨🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥⬜⬜⬜ ⬜⬜🟥🟥🟥🟦🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥⬜⬜ ⬜⬜🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥⬜⬜ ⬜⬜🟫🟫🏻🏻⬛🏻🏻🏻🏻🏻⬛🏻🏻🟫🟫⬜⬜ ⬜🟫🟫🏻🏻🏻⬛🏻🏻🏻🏻🏻⬛🏻🏻🏻🟫🟫⬜ ⬜🟫🟫🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🟫🟫⬜ ⬜🟫🟫🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🟫🟫⬜ 🟫🟫🟫🟫🏻🏻🏻🟫🟫🏻🟫🟫🏻🏻🏻🟫🟫🟫🟫 🟫🟫🟫🟫🟦🏻🟫🏻🏻🏻🏻🏻🟫🏻🟦🟫🟫🟫🟫 🟫🟫🟫⬜🟦🟦⬜🟫🏻🟫🏻🟫⬜🟦🟦⬜🟫🟫🟫 🟫🟫⬜⬜🟦🟦⬜⬜🟫🏻🟫⬜⬜🟦🟦⬜⬜🟫🟫 🟫🟫⬜⬜🟦🟦⬜⬜🟨🏻🟦⬜⬜🟦🟦⬜⬜🟫🟫 🟫🟫⬜⬜🟦🟦⬜⬜🟫🏻🟫⬜⬜🟦🟦⬜⬜🟫🟫 🟫🟫⬜⬜🟦🟦⬜⬜⬜⬜⬜⬜⬜🟦🟦⬜⬜🟫🟫 🟫🟫⬜⬜🟦🟦⬜⬜⬜⬜⬜⬜⬜🟦🟦⬜⬜🟫🟫 🟫🟫⬜⬜🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜🟦⬜⬜🟫🟫 🟫🟫⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟫🟫 ⬜🟫🏻🏻🏻🟥🟥🟥🟥🟥🟥🟥🟥🟥🏻🏻🏻🟫⬜ ⬜⬜🏻🏻⬜🟦🟦🟦🟦🟦🟦🟦🟦🟦🟥🏻🏻⬜⬜ ⬜⬜⬜⬜⬜🟦🟦🟦🟦🟦🟦🟦🟦🟦🟥⬜⬜⬜⬜ ⬜⬜⬜⬜⬜🟦🟦🟦⬛⬛⬛🟦🟦🟦🟥⬜⬜⬜⬜ ⬜⬜⬜⬜⬜🟦🟦🟦🟦⬛🟦🟦🟦🟦🟥⬜⬜⬜⬜ ⬜⬜⬜⬜⬜🟦🟦🟦🟦⬛🟦🟦🟦🟦🟥⬜⬜⬜⬜

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⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟨🟨🟨⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟨🟨🟨⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜🟦🟦⬜🟦🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜🟦🟦🟦🟦⬜🟦🟦🟦⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜🟦🟦🟦🟦🟦🟦⬜🟦🟦🟦⬜🟦🟦⬜⬜⬜⬜⬜ ⬜⬜⬜🟦🟦🟦🟦🟦🟦🟦🟦⬜🟦🟦🟦⬜🟦🟦🟦⬜⬜⬜⬜ ⬜🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬜🟦🟦🟦⬜🟦🟦🟦⬜🟦🟦⬜ 🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬜🟦🟦🟦⬜🟦🟦🟦⬜🟦🟦🟦 ⬜🟦🟦🟦🟦⬜🟦🟦🟦🟦🟦⬜🟦🟦🟦⬜🟦🟦🟦⬜🟦🟦⬜ ⬜🟦🟦🟦🟦⬜⬜🟦🟦🟦🟦⬜🟦🟦🟦⬜🟦🟦🟦⬜🟦🟦⬜ ⬜🟦🟦🟦🟦⬜⬜🟦🟦🟦🟦⬜🟦🟦🟦⬜🟦🟦🟦⬜🟦🟦⬜ ⬜🟦🟦🟦🟦⬜⬜🟦🟦🟦🟦⬜🟦🟦🟦⬜🟦🟦🟦⬜🟦🟦⬜ ⬜🟦🟦🟦🟦⬜⬜🟦🟦🟦🟦⬜🟦🟦🟦⬜🟦🟦🟦⬜🟦🟦⬜ ⬜🟦🟦🟦🟦⬜⬜🟦🟦🟦🟦⬜🟦🟦🟦⬜🟦🟦🟦⬜🟦🟦⬜ ⬜🟦🟦🟦🟦⬜⬜🟦🟦🟦🟦⬜🟦🟦🟦⬜🟦🟦🟦⬜🟦🟦⬜ ⬜🟦🟦🟦🟦⬜⬜🟦🟦🟦🟦⬜🟦🟦🟦⬜🟦🟦🟦⬜🟦🟦⬜ ⬜🟦🟦🟦🟦⬜⬜🟦🟦🟦🟦⬜🟦🟦🟦⬜🟦🟦🟦⬜🟦🟦⬜ ⬜🟦🟦🟦🟦⬜🟦🟦🟦🟦🟦⬜🟦🟦🟦⬜🟦🟦🟦🟦🟦🟦⬜ ⬜🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬜🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬜ 🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬜🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦 ⬜🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬜🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬜ ⬜⬜⬜🟦🟦🟦🟦🟦🟦🟦🟦⬜🟦🟦🟦🟦🟦🟦🟦🟦⬜⬜⬜ ⬜⬜⬜⬜⬜🟦🟦🟦🟦🟦🟦⬜🟦🟦🟦🟦🟦🟦⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜🟦🟦🟦🟦⬜🟦🟦🟦🟦⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜🟦🟦⬜🟦🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜

⣿⣶⡄⠀⡀⠀⣤⣴⣶⡄⢠⣶⣦⣤⠀⢀⠀⢠⣶⣿ ⣿⣿⡇⢸⣿⠀⣿⣿⣿⡇⢸⣿⣿⣿⠀⣿⡇⢸⣿⣿ ⢿⣿⡇⢸⣿⠀⣿⣿⣿⡇⢸⣿⣿⣿⠀⣿⡇⢸⣿⡿ ⠈⢻⡇⢸⣿⠀⢿⣿⣿⣇⣸⣿⣿⡟⠀⣿⡇⢸⡟⠁ ⣷⡄⠁⠸⣿⡀⠘⣿⣿⣿⣿⣿⣿⠃⢀⣿⠇⠈⢠⣾ ⣿⣿⣆⠀⠻⣿⣦⡈⠻⣿⣿⠟⢁⣴⡿⠟⠀⣰⣿⣿ ⣿⣿⣿⣷⣦⣄⡉⠛⠀⢹⡏⠀⠛⢁⣠⣴⣿⣿⣿⣿ ⢿⡛⠛⠻⢿⣿⣿⣷⡄⢸⡇⢠⣾⣿⣿⡿⠟⠛⢛⡿ ⢸⣿⣆⠀⠀⠈⠉⠛⠁⠈⠁⠈⠛⠉⠁⠀⠀⣰⣿⡇ ⠈⢿⣿⣿⣿⣿⣧⠀⢿⣿⣿⡿⠀⣼⣿⣿⣿⣿⡿⠁ ⠀⢀⣉⠉⢿⣿⣿⡄⠈⣉⣉⠁⢠⣿⣿⡿⠉⣉⡀⠀ ⠀⠀⢻⣧⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣸⡟⠀⠀ ⠀⠀⠈⠛⠃⣠⣿⣿⣿⣿⣿⣿⣿⣿⣇⠈⠛⠁⠀⠀ ⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀

⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠤⠖⡒⠒⠚⠉⠉⠉⢉⡹⠛⠲⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣘⣣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠚⢫⣁⣀⡴⢾⠯⠭⠭⢭⣉⡴⠋⠀⢀⣤⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠙⣎⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠚⠁⠀⠀⡴⢋⠀⠀⠀⡇⠀⠀⢀⡜⠙⣦⣾⣿⣿⠿⠛⠛⠛⢿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⣧⢱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣤⣤⣤⣤⣾⣃⠈⢣⣤⠴⢷⠤⠤⣞⢀⣾⣿⣿⠟⠁⠀⠀⠀⠀⠀⠹⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢿⣰⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠿⠿⠿⠿⣿⣿⣷⣏⢣⡀⠸⡀⢠⢿⣾⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢻⡿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠋⠁⠀⠀⠀⠀⠀⠈⠻⣿⣿⣦⠙⣄⢳⣸⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢳⡘⣆⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⡇⠈⠚⠋⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⡟⣦⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠂⢀⠀⡆⢹⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⡝⢧⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣀⡟⠀⢻⣼⢿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⡌⢧⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⠃⡽⠉⠉⠉⢳⠈⠻⢿⣿⣿⣿⣶⣶⣶⣶⣶⣾⣿⠿⣿⠀⠀⢀⣤⣄⠀⢀⣠⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡌⢷⡀⠀⠀⠀⠀⢹⣦⣤⣤⣤⣤⣤⣶⣿⣿⣿⡿⠳⣤⡇⠀⠀⠀⠈⢣⣠⠴⠋⠙⠛⠛⠛⠻⣿⡛⠉⠀⢠⠇⠀⠀⣿⣦⣿⢿⣹⣤⣿⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣌⢳⡀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⠿⣿⠉⠀⠀⢸⠉⠉⠉⠉⠉⠉⠳⡄⠀⠀⠀⢀⡴⠋⠀⠉⠓⢠⠏⠀⣠⠞⣇⣼⡟⣿⣿⣿⠖⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣾⣷⡄⠀⠀⠀⠀⠙⣯⡉⠉⠀⠀⢰⠏⠳⢄⡀⡏⠀⠀⠀⠀⠀⠀⠀⠘⢦⣀⠴⠋⠀⠀⠀⢀⣴⣋⣴⢚⣿⠞⢻⣤⣿⠓⣷⣿⡾⠟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠻⡀⠀⠀⠀⠀⠈⠛⢦⣀⠀⡿⢻⡄⠀⠙⡟⠓⠒⠓⠉⠉⠉⠉⠉⠉⠙⠢⠄⠀⣠⣴⢿⡿⠧⢼⣏⣨⡷⢯⡴⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⣱⡄⠀⠀⠀⠀⠀⠀⠉⠓⣶⣄⣙⣦⡀⠃⠠⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠶⣫⡿⠁⠀⢀⣴⠀⢹⣿⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠿⡄⠀⠀⠀⠀⠀⢠⠾⢧⣏⠈⠙⢿⣍⠙⢛⢲⠒⠒⠛⠙⡏⠉⢀⣼⡟⡿⠁⢸⣤⡿⠋⢠⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣦⢹⡄⠀⠀⠀⠀⢸⣀⣠⠿⢿⡦⣸⡇⠙⣿⣾⡤⠤⠼⣶⣿⠚⠁⠀⣷⠁⠀⢸⣿⣿⣴⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⠙⣆⡽⡄⠀⠀⠀⢸⠿⢠⡀⠀⢳⢸⡟⠲⣼⣿⣦⣶⣾⠿⢣⣀⡴⠞⡏⠀⢀⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⡔⠉⠀⠀⠈⠑⢄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡻⢀⡀⠀⠘⣆⢻⡄⠀⠀⢸⠀⠀⡿⣆⠈⣿⡇⠀⢀⡾⡟⠿⠙⡟⣿⠀⠀⣰⡇⣠⣾⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⣀⠀⠀⠀⢣ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢳⠃⢸⡁⠀⠀⠘⣟⣿⡄⠀⡾⠀⢰⠁⣿⣷⣼⡏⠛⠺⢇⣧⣀⠼⠧⢿⠖⠋⢸⣷⠟⠁⢘⣿⠀⠀⠀⠀⠀⠀⠀⠀⣀⡼⡇⠀⠀⠹⠀⠀⠀⠘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠘⠛⠃⠤⠀⠀⡟⣆⠹⣰⠇⠀⠘⠀⣿⣿⠉⢳⣀⡀⠀⡇⠀⠀⠀⢸⣀⣀⣸⣧⠀⠀⢸⠇⠀⠀⠀⠀⠀⣀⡤⠞⡿⠀⢷⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡄⠀⠀⠀⠀⠀⣰⠧⢼⣆⣻⡷⢳⠶⣼⡯⣟⡷⣾⠀⠉⠛⢻⠛⠛⠉⠹⡏⠀⢸⠋⠀⢀⣿⠀⠀⢀⣠⠴⡾⢹⠁⢠⣧⠴⠛⢦⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣤⡀⠀⠀⡠⠯⣄⡞⢻⣿⣿⡻⣤⡿⠷⣄⡈⢛⡗⠲⠤⢼⣇⣀⣀⣀⣧⠤⢼⣧⡴⠋⣹⣦⠞⠋⠀⢰⣧⠷⠚⠉⢧⡀⣠⠞⣧⣀⠀⠀⡠⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠧⣖⠋⢳⣿⢛⣮⣷⣿⠃⠀⠀⠙⢿⣷⣤⣀⡀⣧⠀⠀⠀⡇⢀⣠⠤⠛⢻⡟⠁⠀⠀⠀⢸⠉⢧⠀⢀⡼⠛⠦⣴⠃⠈⠉⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠈⢻⣿⣏⣽⣻⣿⣿⡀⠀⠀⠀⠀⠙⡆⠈⠉⠛⠻⠿⠟⠛⠉⠀⠀⢀⡿⠀⠀⠠⠀⠀⢸⡀⣨⠷⠯⢤⣀⠞⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⢛⣡⠷⠤⠤⣿⣿⣿⣾⣿⡿⣌⣯⣿⣿⣿⣷⣤⣀⠀⠆⠀⢠⡀⣀⣀⣀⣠⣀⠀⠀⣠⣾⣧⣄⣀⣀⣤⣴⣾⣿⣧⣤⣤⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣫⠖⠉⠀⠀⠀⠀⠈⠙⠛⠛⢮⣽⣆⣹⣿⣟⡛⠻⠿⣿⣿⣿⣦⣼⣿⣷⣭⣭⣴⣶⣾⣿⣿⡟⠀⠻⢿⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣾⣿⡟⠈⠙⠦⣄⠀⠉⠉⠉⠉⠉⠛⠛⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠈⢉⣻⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢧⣳⣀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠖⣫⢿⣟⡇⠀⠀⠀⠈⠙⠲⠤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡤⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠯⣗⣲⣶⣶⣒⣒⣫⠭⠖⠋⠁⢸⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠑⠒⠒⠒⠒⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠈⡉⢉⠉⠀⢀⣀⠀⠀⠀⢸⡷⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⢠⣤⣀⣤⡀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠒⠛⠛⠻⢽⣍⣋⠝⣹⣷⠶⠶⠾⠻⠿⠷⢍⣹⣷⣻⣶⢿⣻⣉⣧⣿⠶⠶⠶⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡈⣿⡇⠀⠀⠀⠀⠀⠀⠀⣿⡗⢐⠃⣴⣿⡟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⣷⢣⠀⠀⠀⠀⠀⠀⢀⣿⡗⢺⢳⣿⣽⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠟⣻⣿⣼⣇⣀⠀⠀⣀⣤⢿⡞⣩⣻⢿⢧⡉⠳⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⡟⢏⣀⣾⣿⣿⣿⣿⣿⣿⡿⢏⡽⠣⡼⢩⣿⣾⣦⣌⠲⡄⠈⣹⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣴⣿⣿⣿⣿⣾⣿⣿⣿⣿⠛⠻⣿⣁⠞⢂⡜⢠⣾⣿⣿⣿⣿⣧⠙⣾⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣾⣿⣿⣿⣿⣿⢹⣹⣿⣿⠇⠀⣶⣇⡞⢢⣾⣤⢚⠟⠈⠙⠿⣿⣿⣷⣼⣅⡉⠉⠉⢻⣿⠛⠓⢲⡀⠀⠀⢀⣠⣄⡀⠀ ⠀⠀⣼⣿⡟⣿⣿⡟⠁⣼⣿⣿⠏⠀⣸⣟⡼⢂⣾⡟⣱⡿⣄⠀⠀⠀⠀⠈⠙⠻⠿⠿⠿⠃⢸⡏⠀⠀⠀⠀⠀⢠⣿⡿⢿⣿⣧ ⢀⡼⠛⢻⣷⡈⣁⣴⣾⣿⠿⠃⠀⣼⣿⣎⢽⡟⣾⡇⣼⡿⣯⡓⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⣠⠆⠀⠘⣯⣿⣿⢦⣾ ⢸⠀⠀⢠⣿⣿⣿⠿⠛⠁⠀⣠⠞⣿⠛⢁⡜⣴⣿⢡⣯⣧⣌⣻⣦⡀⠉⠒⠢⠤⢤⣀⣀⡠⠤⠴⠚⢉⣥⣤⣶⡯⢿⣾⣫⡞⠁ ⣼⠀⠀⠸⡇⠀⠀⠀⣀⠴⠊⠁⢀⡿⠞⡹⢲⡿⢃⣎⣉⣿⣿⣿⣿⣳⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡇⢇⡱⣞⣳⡾⠋⠀⠀ ⠈⠒⠢⠴⠒⠒⠈⠉⠀⠀⠀⠀⣾⠓⢰⠧⣟⣴⣿⡷⣄⣻⣟⢿⣷⣾⠙⢻⣆⠀⠀⠀⢀⣤⣾⣿⣿⡿⣷⣮⣷⣺⠟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠤⢼⠄⠙⣿⡟⠂⠘⣄⣴⣾⣦⣸⠑⢤⢹⣦⣴⣾⣿⣿⣿⣿⡿⢣⣿⡿⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⡀⢸⡤⢤⡾⠳⣀⠴⣿⣿⣿⣿⣟⣤⠎⣱⠽⠛⠛⡿⣿⣿⣯⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣧⡀⠱⣜⠳⢄⣟⣦⡿⣿⡁⢳⢸⣷⣄⣧⡤⠒⢉⢀⡧⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠓⢭⣶⠤⣽⢻⣄⠳⡈⣭⣯⡇⢘⠤⢤⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢹⢸⠏⠙⣿⣿⠉⢻⠚⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣸⣄⡴⠛⠛⢻⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣖⣡⣧⠾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⣀⣀⣠⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣴⠟⠛⠉⠉⠉⠉⠛⠛⠷⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⡿⠁⠀⠀⣾⡆⠀⠀⠀⠀⠀⠀⠈⠛⠛⢷⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣿⠀⠀⠀⠀⠀⠀⠰⠾⠿⠂⠀⠀⠀⠀⠀⠉⠙⠻⢷⣶⣤⣀⡀⠀⠀⠀⠀⠀ ⠀⢹⣧⠀⠀⠛⠀⠀⠀⢀⣶⠿⠛⠃⠀⣀⣠⣤⣤⣀⣠⣴⣾⠟⠛⢷⡄⠀⠀⠀ ⠀⠀⠻⣧⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⡿⠋⠀⠉⢻⣿⣿⣟⠀⠀⠈⣿⠀⠀⠀ ⠀⠀⠀⠹⣷⡀⠀⠀⣀⣠⣤⣼⣿⣿⣿⣇⠀⠀⠀⢠⣿⠉⠛⠛⠷⣶⡟⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⣶⣿⣋⠉⠁⠈⢿⣿⣿⣿⣶⣤⣴⠿⠃⢰⣿⠃⠀⠙⣿⡀⠀⠀ ⠀⠀⠀⠀⠀⣿⠁⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡄⠀⠙⠛⢿⣶⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠙⢷⣄⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠙⠿⣦⣤⡀ ⠀⠀⠀⠀⠀⠀⠀⠹⣧⣀⣡⡀⠀⠀⠀⠀⠀⠀⣼⡏⠀⣴⠿⢛⣻⡿⠛⠛⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠉⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣰⡟⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠉⠑⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠀⠀⠀⢢⠹⣄⠀⠀⠀⣑⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢢⡀⠀⠀⠙⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀⠣⠈⢦⠈⠉⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⣦⡀⠀⠀⠈⠲⢄⠀⠀⠀⠀⠀⠀⢀⣹⡤⠄⠀⠀⡠⠁⠀⠱⡄⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠆⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⢦⡀⠀⠀⠀⠉⠲⢄⡀⢀⣶⢿⡏⠙⡄⠀⠀⠀⠀⢀⠆⠈⢦⡀⠀⠀⠀⠀⠉⠺⣦⡀⠀⠀⠀⠀⠀⠀⢀⣎⠆⠀⠀⠀⠀⠀ ⠷⣄⠀⠀⠀⠙⠢⡀⠀⠀⠀⠀⠈⣿⡏⡜⠀⠀⠘⢆⠀⠀⠀⠊⢀⢎⠄⠙⢦⡀⠀⠀⠀⠀⠈⢻⡄⠀⠀⠀⠀⣠⡟⠎⣸⠀⠀⠀⠀⠀ ⠀⠈⠳⣄⠀⠀⠀⠈⠑⠦⣄⡀⣸⢻⡇⠃⠀⠀⠀⠈⢣⡀⠀⠠⢣⠊⠀⠈⠀⠙⢦⡀⠀⠀⠀⡾⠁⠀⠀⣀⡴⢋⠀⢢⡿⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠙⠦⣀⠀⠀⠀⢀⣽⠟⣸⣇⣀⣀⡀⣀⠴⠋⢙⣤⠀⠁⠀⠀⠀⠀⠀⠀⠙⠢⣄⢸⡇⣠⡴⠊⡅⡜⣬⢧⠯⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠓⣦⡎⣠⣏⠀⠁⢹⠈⠉⠉⠁⠀⣠⠋⠘⢧⡀⢀⠀⠀⠀⠀⠀⡀⣀⣈⠿⡿⡏⠀⠘⡜⢿⣿⠋⣰⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⣿⡆⠀⠀⢸⡀⠀⠀⠀⣰⠃⠀⠀⠘⢿⡦⣀⣤⣀⡤⠴⠛⣉⡠⠔⠋⠁⠀⠀⠀⣴⡧⠞⢱⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠛⣷⠀⡄⠀⠀⠀⠀⢀⠇⠀⠀⠀⢀⣠⠝⠚⠉⠐⠒⠈⠉⠁⠀⠀⠀⠀⢀⣠⠞⠉⠀⣠⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢳⣌⡲⣵⡀⠀⠀⢠⠞⠀⣠⡤⠖⠛⠒⠒⠐⠒⠒⠀⠤⣄⡀⠀⠀⣠⡶⠋⠀⠀⠀⢠⣯⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⣽⣮⣧⠀⣰⣭⣴⡯⠤⠬⠟⠛⠛⠛⠛⠶⠤⣤⣀⣀⣈⣹⠞⠃⠀⠀⠀⠀⣰⣱⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣽⣶⣽⣷⠋⠛⠳⠶⠶⣦⣤⣤⣀⠀⠀⠀⠀⠀⠐⢾⣿⠁⠀⠀⠀⠀⢀⠾⣾⠟⡾⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⠀⠀⣰⣾⣗⣒⡶⢭⣙⠓⠀⠀⠀⠀⠀⠘⣿⡆⠀⢀⢔⡵⢋⡴⠛⣰⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠈⠹⢿⢯⠃⠀⠀⠛⢿⡿⣟⣿⡿⠟⠟⡀⠀⠀⠀⠀⠀⣼⠏⠀⠀⣀⠴⠋⠁⣰⣃⠀⡘⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⢠⠎⠀⠀⠀⠀⠀⠀⠹⠀⠀⠀⠀⠈⠁⠀⣀⠀⠀⣸⠋⣀⡴⠚⠁⠀⠀⡼⠁⢹⣶⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡴⣿⣬⡄⣀⠻⠷⣧⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⢀⣼⠷⠋⠁⠀⠀⠀⣠⡾⠜⠀⠘⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡀⠉⠉⡿⠍⠛⠚⠁⠀⠀⠀⠀⠀⠀⠀⢀⡠⠞⠉⠀⠀⣠⡄⠀⠀⢨⣾⡅⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢹⣧⣀⣀⡊⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠿⠋⠀⠀⢀⠔⠊⡼⠁⠀⣠⠋⠀⠹⣾⡿⠞⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣟⣏⠙⢿⣛⣻⡶⣤⡤⠄⠀⠀⢀⡞⠁⠀⢀⡤⠖⠁⠀⠀⠀⣠⠞⠁⠀⠀⠀⠻⢽⠶⠤⢶⡛⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⡟⠷⣯⡋⠢⣴⣞⣻⡤⠀⠀⡾⠀⠀⡰⠋⠀⠀⠀⠀⢀⠔⠁⠀⠀⠀⠢⠀⠀⠀⢷⡒⠒⠻⢁⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⠀⠀⣈⣹⣤⣽⣿⣿⣧⣐⣿⡥⢄⣐⣃⣀⣿⣁⣀⣴⠳⠦⣀⣀⠀⠀⠀⠳⡀⡀⠀⢻⡛⠛⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⢷⠿⠿⠛⠿⡿⠧⠤⠤⢄⡤⠄⠀⠰⢶⠶⣅⡹⣳⠀⠈⠙⣛⡦⢶⣶⡶⠾⠓⠆⠟⢦⡂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣸⣿⣯⠁⢀⣀⣀⣠⣇⣀⣀⣥⣶⣶⣤⣤⣤⣴⠶⣜⡋⢻⠆⣠⠞⠁⣀⠤⢴⡮⣽⡛⠷⣖⢤⡉⠂⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡴⠊⠁⠈⣹⡇⣹⡟⢙⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⢸⢠⠇⠒⠉⠈⠯⠒⠂⠀⠤⠄⠀⣙⡪⢄⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⠋⠀⢀⣠⠤⠿⣷⣿⠀⢀⣄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢸⡚⠀⠂⠉⠉⠉⠉⠉⠐⠚⠓⠒⠦⠥⠤⢽⣢⡀ ⠀⠀⢀⡴⠋⢀⡤⠚⠉⠀⠀⠀⣿⣸⡄⠀⠙⢿⣾⣷⣤⣴⡶⠀⠀⠀⠀⠀⠀⠀⠹⢼⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉ ⠀⠀⠀⡠⠒⠁⠀⠀⠀⠀⠀⠀⠘⣯⣧⠀⢰⣼⣿⡗⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠰⣸⡆⠀⠀⠀⠀⠀⠈⠐⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣈⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢴⡾⢾⡿⢶⣀⣈⠽⡇⠀⣿⣻⣒⠋⠁⠀⠀⠀⠀⢠⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣺⠖⠁⠀⠀⡇⡄⠀⠉⠉⢳⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡴⡿⠋⠀⠀⠀⠀⠀⣷⠁⠀⠀⣠⣾⡆⠀⢻⠀⢀⡀⠀⠀⢸⡀⠀⢸⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡨⠋⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢀⢷⠁⡇⠀⠀⡇⢸⠀⠀⠀⠀⡇⠀⢀⢿⠏⣆⣄⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⡠⣼⡏⠀⢳⠀⠐⣷⢰⠀⠀⠀⠀⠁⠀⡸⡾⠀⠘⣮⠙⠦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠁⢷⠀⢸⠀⠀⢻⡘⡆⠀⠀⠀⠀⢠⣻⠁⠀⠀⢸⠘⡄⠀⢹⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⣾⣼⠀⠸⡀⠀⠈⡇⣇⠀⠀⠀⢠⢧⡏⠀⠀⢀⡎⢠⠷⡀⠀⡟⣾⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⣿⢷⡀⡇⠀⠀⢳⠈⠂⢀⢀⢏⡾⠀⠀⠀⡼⠁⡜⠀⢡⢰⡇⣼⢣⠀⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠋⠀⠈⢧⡉⡓⢄⡀⢸⡇⠐⠉⠈⡼⠀⠀⠀⣰⡹⣰⠁⠀⠀⠮⣰⠃⢿⠀⢱⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠀⠀⠀⠀⠀⠀⣳⡇⠀⡈⠉⣧⠉⠀⡘⠁⠀⠀⣠⢇⡝⠉⠀⢀⣎⢺⠃⠀⠈⣇⠈⠇⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣾⣿⠿⠟⠛⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀ ⠀⠀⣼⣿⠟⠁⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀ ⠀⣸⣿⠇⣠⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀ ⠀⣿⣿⠀⣿⣿⠀⠀⠉⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⠀⣿⣿⢸⣿⡏⠀⠀⢸⣿⠁⠈⣻⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⢰⣿⣿⣿⣿⣤⣤⣀⣈⠻⣷⣾⣿⣿⡿⠟⠉⢹⣿⣿⣷⡆ ⢸⣿⣿⡏⠀⠉⠙⠿⠿⠇⣿⣿⣿⣁⣀⠀⠀⢘⣿⣿⣿⡇ ⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁ ⠀⢸⣿⡇⠀⠀⠀⠀⢀⣀⡀⢀⣈⡙⠻⣿⣿⣿⣿⣿⠁⠀ ⠀⠈⣿⡇⠀⠀⠀⠀⠈⠉⠻⠟⠉⠁⠀⠈⢿⣿⣿⣿⠀⠀ ⠀⠀⠻⣿⣦⡀⠀⠀⣠⣴⡶⢶⣦⣄⠀⠀⢀⣿⣿⠏⠀⠀ ⠀⠀⠀⠈⠻⣿⣦⡀⠈⠀⠀⠀⠈⠁⢀⣴⣿⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀

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⬜⬜⬜⬜⬜⬜⬜🟦🟦🟦 ⬜⬜🟦🟦🟦⬜⬜⬜🟦🟦 ⬜🟦🟦🟦🟦🟦⬜⬜🟦⬜ ⬜🟦🟦🟦🟦🟦⬜⬜⬜⬜ ⬜🟦🟦🟦🟦🟦🟦⬜⬜⬜ ⬜⬜🟦🟦🟦🟦🟦⬜⬜🟦 ⬜⬜⬜⬜🟦🟦🟦🟦🟦🟦 🟦⬜⬜⬜⬜⬜🟦🟦🟦🟦 🟦🟦🟦⬜⬜⬜🟦🟦🟦🟦 🟦🟦⬜⬜⬜🟦🟦🟦🟦🟦

⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜ ⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜ ⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜ ⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜ ⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛ ⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛ ⬛⬛⬛⬛⬛🏻⬛🏻⬛🏻⬛⬛⬛⬛⬛ ⬛⬛⬛⬛🏻🏻🏻🏻🏻🏻🏻⬛⬛⬛⬛ ⬛⬛⬛🏻🏻🟪🏻🏻🏻🟪🏻🏻⬛⬛⬛ ⬜⬛⬛🏻🏻⬛🏻🏻🏻⬛🏻🏻⬛⬛⬜ ⬜⬛⬛⬛🏻🏻🏻🏻🏻🏻🏻⬛⬛⬛⬜ ⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜ ⬜⬛⬛⬛⬛⬛🟪🟪🟪⬛⬛⬛⬛⬛⬜ ⬛⬛⬛⬛⬛⬜🟪⬜🟪⬜⬛⬛⬛⬛⬛ ⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛ ⬛⬛⬛🏻⬜⬛⬜⬜⬜⬛⬜🏻⬛⬛⬛ ⬜⬛⬛⬛⬛🟪⬜🟪⬜🟪⬛⬛⬛⬛⬜ ⬜⬜⬛⬜⬜⬛⬛⬛⬛⬛⬜⬜⬛⬜⬜ ⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬜⬛⬜⬜⬜⬜⬜⬜

⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛🟪🟪🟪🟪⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🟨🟪🟪🟪🟪🟪🟪🟪🟪🏻🟪🟪🟪🟪⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟪🟨🟨🟪🟪🟪🏻🏻🏻🏻🟧🟧🟪🟪🟪🏻⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟨🟪🟪🏻🟧🟧🏻🏻🏻🟧🏻🏻🏻🟪🟪🏻🏻⬛⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟪🟪🟪🟧🏻🏻🏻🏻🏻🏻⬛⬛🏻🟪🟪🏻🏻⬛⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🏻🟪🟪🏻⬛⬛🏻🏻🏻🏻⬛⬛🏻🟪🟪🏻🏻⬛⬜ ⬜⬜⬜⬜⬜⬜⬛🏻🏻🟪🟪🏻⬛⬛🏻🏻🟧🏻🏻🏻🏻🟪🟪🏻⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🏻🏻🟪🟪🏻🏻🏻🟧🏻🟧🏻🏻🟧🟪🟪🟪🟪⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🏻🏻🟪🟪🟧🏻🏻🏻🏻🏻🏻🏻🟪🟪🏻🟪🟪⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🏻🟪🟪🏻🏻🟧🏻🟥🟥🟥🏻🏻🏻🏻🟪⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟪🟪🟪🏻🏻🏻🏻🏻🟥🏻🏻🏻🟨🟨🟨⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟪⬛🟪🟨🟨🟨🏻🏻🏻🏻🏻🏻🟨🟨🟨🟨🟨⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛⬜⬛🟨🟨🟨🟨🏻🏻🏻🏻🟨🟨🟨🟨🟧🟧⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟨🟨🟨🟨🟨🟧🟧🟨🟨🟨🟧🟧🟧🟧🟧⬛⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🟧🟧🟨🟨🟨🟨🟥🟧🟨🟨🟧🟨🟨🟨🟨🟨⬛⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🟧🟧🟧🟨🟨🟨🟥🟥🟨🟨🟨🟨🟨🟨🟨🟨⬛⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟨🟨🟧🟨🟨🟥🟥🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟨🟨🟧🟨🟨🟥🟥🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🟨🟨🟨🟧🟨🟨🟥🟥🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🟨🟨🟨🟧🟨🟨🟥🟥🟨🟨🟨🟨🟧🟨🟨🟨🟨⬛ ⬜⬜⬜⬜⬜⬜⬜⬛🟨🟨🟨🟧🟧🟨🟨🟥🟥🟨🟨🟨🟨🟧🟨🟨🟨🟨⬛ ⬜⬜⬜⬜⬜⬜⬛🟨🟨🟨🟨🟧🟨🟨🟨🟥⬛🟨🟨🟨🟧🟨🟨🟨🟨🟨⬛ ⬜⬜⬜⬜⬜⬛🟨🟨🟨🟨🟨🟧🟨🟨🟨⬛⬛🟨🟨🟨🟧🟨🟨🟨🟨🟨⬛ ⬜⬜⬜⬜⬛🟨🟨🟨🟨🟨🟧🟨🟨🟨🟨⬛⬛🟨🟨🟧🟨🟨🟨🟨🟨🟨⬛ ⬜⬜⬜⬛🟨🟨🟨🟨🟨🟧🟨🟨🟨🟨🟨⬛⬛🟨🟨🟧🟨🟨🟨🟨🟨🟨⬛ ⬜⬜⬜⬛🟨🟨🟨🟨🟨🟧🟨🟨🟨🟨🟨⬛⬛🟨🟧🟨🟨🟨🟨🟨🟨🟨⬛ ⬜⬜⬜⬜⬛🟨🟨🟨🟧🟨🟨🟨🟨🟨🟨⬛⬛🟨🟧🟨🟨🟨🟨🟨🟨🟨⬛ ⬜⬜⬜⬛🏻🟨🟨🟨🟧🟨🟨🟨🟨🟨🟨⬛⬛🟨🟧🟨🟨🟨🟨🟨🟨⬛⬜ ⬜⬜⬜⬛🏻🏻🏻🏻🟨🟨🟨🟨🟨🟨⬛⬛⬛🟨🟧🟧🟨🟨🟨🟨🟨⬛⬜ ⬜⬜⬛🏻🏻🏻🏻🟨🟨🟨🟨🟨🟨🟨⬛⬛⬛🟨🟨🏻🟧🟧🟧🟧⬛⬜⬜ ⬜⬜⬛🏻🏻🏻🟨🟨🟨🟨🟨🟨🟨🟨⬛⬛🟨🟨🏻🏻🏻🏻🟨🟨⬛⬜⬜ ⬜⬜⬜⬛⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬛🟨🏻🏻🏻🏻🏻🟨🟨⬛⬜⬜ ⬜⬜⬜⬜⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬛🟨🟨🏻🏻🏻🏻🟨🟨⬛⬜⬜ ⬜⬜⬜⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬛⬛🟨🟨🏻🏻🏻🏻🟨🟨⬛⬜⬜ ⬜⬜⬜⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬛🟨🟨🟨🏻🏻🏻🟨🟨🟨⬛⬜⬜ ⬜⬜⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬛🟨🟨🟨🟨🟨🟨🟨🟨⬛⬜⬜⬜ ⬜⬜⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬛⬛🟨🟨🟨🟨🟨🟨🟨🟨⬛⬜⬜⬜ ⬜⬜⬛⬛🟨🟨🟨🟨🟨🟨🟨🟨⬛⬛⬛🟨🟨🟨🟨🟨🟨🟨🟨⬛⬜⬜⬜ ⬜⬛⬛⬛🟨🟨🟨🟨🟨🟨🟨⬛⬛⬛🟨🟨🟨🟨🟨🟨🟨⬛⬛⬛⬜⬜⬜ ⬛🟪⬛⬛⬛⬛🟨🟨🟨🟨⬛⬛⬛⬛🟨🟨🟨🟨🟨⬛⬛⬛⬛⬛⬛⬜⬜ ⬛🟪⬛⬛⬛⬛⬛🟨🟨🟨⬛⬛⬛🟨🟨🟨🟨⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜ ⬜⬛⬛🟪⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🟪⬛⬜⬜ ⬜⬜⬛🟪🟪⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🟪⬛⬜⬜⬜ ⬜⬜⬜⬛⬛🟪⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🟪🟪🟪⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🟪⬛⬛🟪🟪🟪🟪🟪⬛⬛⬛⬛⬛🟪⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬛🟪⬛⬛⬛⬛⬛🟪🟪🟪🟪🟪⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬛⬛⬜⬜⬛⬜⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜

⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜ ⬜⬛🟪🟪⬛⬜⬜⬜⬜⬜⬜⬜⬜⬛🟪🟪⬛⬜ ⬜⬛🟪🟪🟪⬛⬜⬜⬜⬜⬜⬜⬛🟪🟪🟪⬛⬜ ⬜⬛🟪🟪🟪🟪⬛⬜⬜⬜⬜⬛🟪🟪🟪🟪⬛⬜ ⬜⬛🟪🟪🟪🟪🟪⬛⬜⬜⬛🟪🟪🟪🟪🟪⬛⬜ ⬜⬛🟪🟪🟪🟪🟪⬛⬜⬜⬛🟪🟪🟪🟪🟪⬛⬜ ⬜⬛🟪🟪🟪🟪🟪⬛⬜⬜⬛🟪🟪🟪🟪🟪⬛⬜ ⬜⬜⬛🟪🟪🟪🟪⬛⬛⬛⬛🟪🟪🟪🟪⬛⬜⬜ ⬜⬜⬜⬛🟪🟪⬛🏻🏻🏻🏻⬛🟪🟪⬛⬜⬜⬜ ⬜⬜⬜⬜⬛⬛🏻🏻🏻🏻🏻🏻⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜⬜⬜ ⬜⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜⬜ ⬜⬜⬜⬛🏻🏻⬛🏻🏻🏻🏻⬛🏻🏻⬛⬜⬜⬜ ⬜⬜⬜⬛🏻⬛🏻🏻🏻🏻🏻🏻⬛🏻⬛⬜⬜⬜ ⬜⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜⬜ ⬜⬜⬜⬛🏻🏻⬛🏻🏻🏻🏻⬛🏻🏻⬛⬜⬜⬜ ⬜⬜⬛🏻🏻🏻🏻🏻🟪🟪🏻🏻🏻🏻🏻⬛⬜⬜ ⬜⬜⬛🏻🏻🏻🏻🏻🟪🟪🏻🏻🏻🏻🏻⬛⬜⬜ ⬜⬜⬛🏻🏻🏻🏻⬛🏻🏻⬛🏻🏻🏻🏻⬛⬜⬜ ⬜⬜⬜⬛🏻🏻🏻🏻⬛⬛🏻🏻🏻🏻⬛⬜⬜⬜ ⬜⬜⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🏻🏻🏻🏻🏻🏻⬛⬜⬜⬜⬜⬜ ⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜ ⬛🏻🏻🏻🏻🏻🟪🟪🟪🟪🟪🟪🏻🏻🏻🏻🏻⬛ ⬜⬛⬛⬛⬛⬛🟪🟪🟪🟪🟪🟪⬛⬛⬛⬛⬛⬜ ⬜⬜⬜⬜⬜⬛🟪🟪🟪🟪🟪🟪⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟪🟪🟪🟪🟪🟪⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟪🟪🟪🟪🟪🟪⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟪🟪🟪🟪🟪🟪⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟪🟪🟪🟪⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🏻⬛⬛🏻⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🏻🏻⬛⬛🏻🏻⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🏻🏻🏻⬛⬛🏻🏻🏻⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜

⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟦🟦🟦 ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟦🟪🟦🟦 ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟦🟪🟦🟪🟦 ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟦🟦🟦🟪🟦⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩🟦🟦🟦🟦⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜🟩🟩🟦🟦🟦⬜⬜⬜ ⬜⬜🟧🟧⬜⬜⬜🟨🟩🟩🟩🟩⬜⬜⬜⬜ ⬜⬜🟧🟧🟧⬜🟨🟨🟩🟩🟩⬜⬜⬜⬜⬜ ⬜⬜⬜🟧🟧🟧🟨🟩🟨🟨⬜⬜⬜⬜⬜⬜ ⬜⬜⬜🟧🟧🟧🟩🟨🟨⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜🟧🟧🟧🟧⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜🟫🏽🟧🟧🟧🟧⬜⬜⬜⬜⬜⬜⬜ ⬜⬜🟫🏽🟫⬜🟧🟧🟧🟧⬜⬜⬜⬜⬜⬜ 🟥🟥🏽🟫⬜⬜⬜⬜🟧🟧⬜⬜⬜⬜⬜⬜ 🟥🟥🟥⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ 🟥🟥🟥⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜

⬜⬜🏿⬜⬜⬜⬜🏿⬜⬜ ⬜🏿🟫🏿⬜⬜🏿🟫🏿⬜ ⬜🏿🟫🟫🟫🟫🟫🟫🏿⬜ 🏿🟫🟫🟫🟫🟫🟫🟫🟫🏿 🏿🟫🏻🏻🟫🟫🏻🏻🟫🏿 🏿🟫🏻🏻🟫🟫🏻🏻🟫🏿 🏻🏿🟫🟫🟫🟫🟫🟫🏿🏻 🏿🏻🏿🏿🟫🟫🏿🏿🏻🏿 ⬜🏿🏻🏻🏻🏻🏻🏻🏿⬜ ⬜⬜🏿🏿🏿🏿🏿🏿⬜⬜