⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⡴⣖⣒⡒⠲⢦⡀⠀⠀⠀⣰⠏⢙⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣬⠟⢋⣀⡤⠼⢿⡖⣻⡟⢷⣴⡏⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠞⣐⣈⣥⡶⠂⡤⣊⡴⠋⢻⡆⢿⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠛⠉⠉⠀⠉⣩⣿⠿⠛⠛⠉⠉⣷⠈⢰⠏⠉⠛⠓⠶⣦⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⡴⠟⠉⠀⠐⠊⠉⠉⠑⠛⠶⣟⠋⠉⠉⠉⠑⠒⠉⠻⣦⣀⠀⠀⠀⠀ ⠀⠀⢀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠰⠤⣄⡀⠙⣦⡀⠀⠀ ⠀⢠⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠀⠈⢷⡄⠀ ⢠⡟⠀⠀⠀⠀⠀⠀⠀⢠⣤⡀⠀⠀⠀⠀⠀⠀⠀⣤⣤⠀⠀⠀⠀⠈⠀⠀⢨⢿⡀ ⣼⠁⠀⠀⠀⠀⣀⣤⣶⣦⣬⡁⠀⠀⠀⠀⠀⠀⠀⣡⣼⣴⣤⣄⠀⠀⠀⠀⠀⡹⣧ ⡏⠀⠀⠀⠀⣰⣿⡿⢻⡁⢈⣿⡄⠀⠀⠀⠀⠀⣼⣿⡟⢿⡀⢸⣷⡀⠀⠀⠀⠀⣿ ⣇⠀⠀⠀⠀⢻⣿⣟⠿⠟⣿⣿⠇⠀⠀⠀⠀⠀⣿⣿⡟⠿⢛⣿⣿⠃⠀⠀⠀⠀⣿ ⢿⠀⠀⠀⠀⠈⠻⢿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⡿⠿⠃⠀⠀⠀⢀⢢⡟ ⢸⣇⠀⠀⠀⠠⣒⢒⡦⠀⠀⠸⣄⡀⠀⠀⠀⣀⠴⠀⠀⠀⠒⣒⣲⠄⠀⠀⡜⣼⠃ ⠀⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠿⠿⢿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⣼⠇⠀ ⢠⡶⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⠒⠛⠀⠀⠀⠀⠀⠀⠀⠀⢠⢞⣼⠻⣦⠀ ⢸⣇⠘⡌⠳⣄⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⢞⣵⠟⠁⢀⣽⠀ ⠀⠙⠛⠒⠛⠋⠻⢾⣕⣢⢄⣀⡀⠀⠀⠀⠀⠀⡀⠀⠤⣒⣩⠾⠛⠛⠓⠞⠛⠁⠀ ⠀⠀⠀⠀⠀⠀⢰⡟⠉⠙⠛⢶⡦⠤⢤⡤⠤⣤⡶⠾⠛⠉⢿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⣠⡿⠁⠀⠀⠀⠀⠘⣷⡀⠄⠀⢨⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠻⠶⠾⠋⠀⠀⠀⠀⠀⠀⠀⠈⠛⠷⠶⠛⠁⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⡷⠶⠶⠶⠶⠟⠛⠛⠉⠉⠁⠀⠀⠀⣀⡀⠀⠀⠈⠈⣝⠛⠻⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠰⣆⠀⠀⠙⢿⣦⠀⠀⠀⠘⢷⣄⠀⠉⠻⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣽⠟⠃⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⢹⣷⠀⠀⠀⠀⠁⠀⠀⠀⠈⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠟⠁⠀⢀⡀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⢠⣼⣿⣤⠀⠀⠀⠀⠀⣤⡀⠀⣤⠀⠻⣷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠋⢀⡀⠀⣸⡇⠀⠀⠀⠀⠀⠀⣴⡆⠀⣿⣄⠙⢿⣿⣷⡄⠀⣠⡄⠈⢿⣄⠘⣷⡀⠘⣿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⣰⡟⠁⢠⣿⠀⠀⠀⠀⠀⠀⠀⣿⡇⢰⣿⠹⣷⣌⢿⣿⣷⠀⠙⣷⡀⠈⢿⡆⠘⣷⡀⠸⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⣼⠏⠀⠀⢸⡇⠀⠀⠀⠀⢀⣤⣤⣿⣧⣤⣇⣀⠈⠻⣎⣿⣿⡇⠀⢻⣧⠀⠈⣿⡀⠸⣷⠀⢹⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠇⠀⠉⠀⣾⡇⢸⣇⣷⠀⠀⠀⠈⠛⠛⣿⡏⣽⡏⠙⠛⠿⢿⣿⣿⣿⡀⠘⣿⠀⠀⠹⣧⣀⣽⣿⡿⢿⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠀⠀⡀⢀⣿⠀⢸⣿⣿⠀⠀⠀⠀⠀⢰⣿⢡⣿⠁⠀⠀⠀⠈⣿⣿⣿⣧⠀⢿⡇⠀⠀⣿⣻⡿⠋⠁⢾⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣽⡇⠀⣾⠇⠈⣷⣿⢸⣿⣿⡆⠀⠀⠀⠀⢸⠇⣸⡏⢀⡀⢀⣀⣀⣼⣿⠉⣿⡆⢸⡇⠀⠀⢸⡇⠲⠛⢿⡜⢿⡧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⢁⣾⣿⡇⣰⣿⡟⣸⣿⣿⣧⠀⠀⠀⠀⠀⢰⣿⣷⣿⣿⠿⣿⣿⡿⠇⠀⣿⡇⠸⡯⠀⠀⠘⣧⡄⠀⠀⢁⣿⣿⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⢸⣿⣿⠁⣿⣿⣧⢸⡿⣿⣿⡄⠀⠀⠀⢀⣿⣿⠿⠏⠁⠀⠀⠉⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⣿⠀⢸⣿⣿⡏⠘⣷⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⣾⣿⡇⢸⣿⡿⢻⣼⡇⠻⣿⣤⣀⠀⢠⣾⠃⠀⠀⠀⣀⣀⣤⣤⡶⠶⠶⢿⡇⢰⡆⢀⡀⠀⣿⣶⠿⢣⣿⡇⠀⠘⣷⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⣠⣿⣿⣇⢸⣿⡇⠀⣿⣿⣿⣿⣿⡿⠇⣿⢁⣠⣴⠾⠛⠛⢉⡀⠀⠀⠀⠀⢸⡇⣿⠃⢸⡇⠀⣿⣁⣰⡿⠃⠡⣦⠀⠈⠻ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡿⠋⠁⣿⣿⡌⢻⣧⣰⣿⣿⣿⠛⠉⠁⣠⡿⠟⠉⠀⡴⠶⠛⠛⠉⠀⠀⠀⠀⣿⣿⡏⠀⢸⡇⠀⣿⣿⣿⡄⠀⢀⡙⣧⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠙⣿⣇⠀⣿⣿⣿⣿⠟⣦⣀⣴⠟⠁⠀⠀⠀⠀⣀⣀⡄⠀⠀⠀⠀⢠⣿⣿⡄⠀⢸⡇⠀⣿⠉⢿⣷⡀⠈⠹⣎⢿⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣦⢹⣧⠻⣷⡀⢸⡿⠃⠀⠀⢀⣤⡶⠟⠋⠉⠀⠀⠀⠀⠀⣼⠏⢸⡇⠀⣿⠃⠀⣿⣆⠘⢿⣿⡄⠀⠙⢷⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⡆⢿⣷⣿⣦⠘⣿⡟⢁⠖⠀⣴⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢸⠇⠀⣿⠀⠀⡟⢿⣆⠈⢿⣿⣆⠀⠀⠙ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠰⣦⣄⣿⢀⣼⣿⢹⣿⡷⠛⢿⣟⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⢠⡤⠶⠒⠀⠀⢸⡀⠀⠿⠀⢰⣧⣀⣻⣷⣀⠻⣿⣷⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⢷⣄⠀⠀⠈⢻⣿⣸⠇⣿⣾⣿⣇⠀⠈⠻⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⢸⡏⠉⠛⢿⣿⣷⣌⡙⢿⣿ ⠀⠀⠀⠀⢀⣠⣤⣶⣶⣶⣶⣦⣤⣘⣧⠙⣷⡀⢰⡄⢻⡟⢰⣿⣿⣿⣿⠀⣶⡄⠈⢹⣿⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⠀⠀⣤⠀⠈⣷⠀⠀⠀⠙⢿⣍⣻⣶⣍ ⠀⠀⣠⡾⠟⠉⣁⣀⣀⠀⠙⠻⠿⣿⡿⣷⡈⢷⣿⣧⠈⣿⣼⣿⡿⢃⣿⠀⢸⣧⠀⠀⣿⠀⠈⠹⣿⠛⠻⠷⠖⠀⠐⠛⠉⠀⣿⠀⠀⣿⠀⠀⣿⠀⠀⠀⠀⠀⠙⢿⣿⠿ ⢀⡾⣋⣴⠾⠿⠿⢿⣿⣟⡷⣦⣄⡀⠙⠻⣧⠈⢿⣿⠀⢸⡟⣉⣤⣿⣿⡇⠸⣿⠀⠀⣿⡄⠀⢀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⣿⡆⠀⢿⡆⠀⠀⠀⠀⠀⠀⠙⡷ ⠘⠙⠛⠁⠀⠀⠀⠀⠀⠙⠻⢶⣭⣋⢠⣴⢿⡇⠈⣿⠀⠘⣿⡿⠟⠛⢻⡇⢸⣿⣇⠀⣿⠇⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⠀⣿⣿⡄⢸⣷⡀⠀⠀⠀⠀⠀⠀⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣽⡟⢃⣼⡷⠚⠻⣧⡀⠘⣷⣤⡄⣾⠀⣸⠟⢿⡄⡿⠀⠀⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣦⣿⢈⣿⣄⢿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⢠⣿⡁⠀⠀⢤⣿⠿⠛⠉⠀⢰⣿⢠⣿⠀⣾⣿⣷⣄⠀⢸⣧⡀⠀⠀⠀⠀⠀⠀⢀⣴⣾⡿⢻⣿⣿⡏⠙⢿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠋⢀⣤⣾⠟⠁⠀⠀⠘⠷⠀⠀⣀⠀⠘⣿⣿⠃⠀⣿⣿⣸⡿⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⣨⡿⠋⠀⣼⢟⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣾⠋⣠⣴⠟⠉⢿⡀⠀⠀⠀⣄⣿⣷⡾⠋⠀⢀⣿⠋⢀⣀⣿⠿⠋⠀⠀⢸⡇⠀⠀⠀⠀⠀⢀⣾⠟⠀⠀⢠⡟⣼⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⢟⣥⣾⣿⣥⠀⠀⣘⣿⣄⠀⠀⠛⠻⠟⠀⠀⠀⣼⡟⠀⠘⠛⣷⣤⡀⠀⠀⠸⣷⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⣿⡿⣿⣿⡿⠁⣠⣾⡿⠛⣿⠃⠀⠀⠀⠀⠀⠀⣰⡟⠀⠀⠀⠀⢻⣿⢻⣦⡀⠀⣿⡄⠀⣠⣴⡟⠁⠀⠀⠀⠀⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⣿⠏⣸⣿⡿⢡⣾⠿⠋⣀⣴⡿⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⠀⠀⠀⠘⣿⡇⠙⢷⡄⢹⣇⠀⣿⡟⠀⠀⢀⣀⣀⣴⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⣿⠃⢠⣿⣿⢣⡿⠁⣠⣾⠟⣿⠇⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⣿⣷⠀⠈⢿⡀⢿⣰⡿⣀⡴⠟⠛⢉⣾⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡿⠁⠀⠀⣿⡿⠘⠁⣴⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠁⠀⠀⠀⠀⠀⠀⠘⢿⡇⠀⠈⣷⠈⣻⡿⢋⣤⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢦⡀⠀⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⢀⡄⠀⠀⠀⠳⡄⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⢀⣤⠤⢤⣄⠀⠀⠀⠀⠀⠀⠀⣀⡴⢋⡴⢃⣾⢇⣷⡾⠀⣴⠇⢠⠀⠀⢀⢻⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⣰⡟⠁⠀⠀⢻⣷⡄⠀⠀⠀⣠⡾⠋⠰⠊⣰⣿⠋⣼⣿⢃⡼⣿⢃⡾⣰⢰⣿⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⢰⡏⠀⠀⠀⠀⢮⣿⣿⣀⣤⡾⠯⠖⢛⣻⣿⠟⢁⣾⡿⣳⠮⣼⣧⠟⣰⢣⣿⡋⣼⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⢸⠀⠀⠀⠀⠀⢸⣿⣿⣯⣹⣷⣶⣿⣿⣯⡀⠀⠾⠋⠟⠡⢞⣛⡉⣳⡷⣡⡿⠁⡿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣥⡄⠀⠀⠸⡄⠀⠀⠀⠀⢺⣿⣿⣯⣿⠛⣿⣿⣿⣏⠙⠀⠀⠀⠀⠀⠶⣿⣿⢿⠛⠁⡗⠙⠃⢠⡀⠀⠀⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⠟⢹⠀⠀⠀⠀⢻⡄⠀⠀⠀⠺⠯⣿⣟⡏⠘⠷⣬⣡⣇⡀⠀⣀⣀⣀⠀⠈⣿⣿⣿⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣤⡾⠃⢀⡏⠀⠀⠀⠀⠀⢻⣦⡄⠀⢀⣼⣻⣿⠡⠄⠀⠀⠀⠀⠀⠀⠈⠉⠻⣅⠀⠀⠐⡞⣸⣾⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠁⠉⠩⠝⠚⠉⠀⢠⠞⠀⠀⠀⠀⠀⠀⠀⠈⢛⡿⠋⢨⣿⠟⠉⠉⠑⢦⡀⠀⢦⡤⣤⠤⢤⣼⠄⢀⣰⣇⠉⠀⠀⠀⠿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⢀⣴⠏⠀⣰⡟⠁⠀⠀⠀⠀⠈⣧⠀⠀⠃⠀⠀⣰⠃⢀⣴⠟⠊⠳⡀⠀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⠔⠋⠀⠀⠀⠀⠀⠀⠀⣠⡴⢋⡟⢀⣾⡟⠁⠀⠀⠀⠀⠀⠀⣿⢦⣀⠀⠀⠚⢁⡠⣿⡇⠀⠀⠀⣧⠀⠀⠀⠀⡀⠀⠀⠀ ⢀⡠⠴⠊⠁⠀⠀⠀⣀⣠⠤⠖⠺⠛⠁⢠⣞⣴⠟⣿⠁⠀⠀⠀⠀⠀⠀⢸⣿⣦⡈⠉⠓⠚⣫⡴⣿⠇⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠐⠒⠺⠯⠟⠛⠉⠁⠀⠀⠀⠀⠀⣴⣫⣾⠋⣼⡇⠀⠀⠀⠀⠀⠀⠀⢸⠻⣾⣾⡏⠉⢉⣹⣴⠛⡆⣠⣶⣿⣗⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠟⣱⢀⣾⡇⠀⠀⠀⠀⠀⠀⠀⣁⣤⣌⣉⣛⠛⠛⢉⣀⣴⣟⢻⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⡿⡏⡇⣸⠋⢸⣿⡆⠠⠀⠀⠀⠀⣠⣾⢿⣿⣷⣬⣯⡷⠖⠛⢧⠸⣿⣿⢿⣿⣿⣿⠘⡆⠀⠀⠀⠀⠀ ⠀⠀⢀⣀⣤⣤⠤⡴⣾⢻⡏⠙⠃⠀⣰⣿⣴⡟⣸⢇⠀⠀⠀⢀⣼⣿⣿⢿⣿⣿⣽⠇⠀⠀⠀⠈⡇⢸⣿⣿⣿⣟⡿⣤⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠇⠛⣿⡄⢀⣼⡎⣀⣷⣿⠟⠁⣿⢼⡄⠀⠀⠸⣿⣿⢷⣿⣿⣿⠏⠀⠀⠀⠀⠀⣇⠞⠛⠋⣹⢻⡷⠟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⠀⠄⢠⢰⣿⡗⢸⣯⣿⡿⠛⠁⠀⠀⣿⡇⢳⡄⠀⠀⢘⣯⣿⣿⣿⠏⠀⠀⠀⢀⣰⢞⠁⠀⠀⢀⣟⠀⠀⠀⠀⠀⡀⠀⠀⠀