Anarcho-Communism Communism Emojis & Text

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠋⠁⠛⠛⠺⣧⣃⣦⡀⠡⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣦⡌⠛⠿⣗⣿⣆⡀⠠⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢮⣟⣮⣯⠟⠛⠀⠀⠀⠉⠻⣷⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠛⠉⠻⡇⡀⠀⠀⠀⠀⠀⠹⣷⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢤⡤⡤⡄⠀⣟⣏⠖⠠⣄⣀⠀⠀⣿⡣⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢏⠓⠐⠈⠀⡂⢳⣻⣟⡀⢈⠟⠁⢠⣿⡇⡇ ⠀⠀⠀⠀⠀⣀⣤⣏⡦⡏⠁⠀⠀⠀⣘⣇⠌⠍⠃⡇⠀⠀⢀⣿⣿⡇⠀ ⠀⠀⠀⣠⣾⣿⣟⡽⣟⠇⠀⠀⠀⢠⣽⠏⠃⠀⢧⢵⠀⢠⣧⣘⡞⡀⠀ ⢠⣤⡿⠟⠋⠁⡗⠍⠽⣯⣆⠀⠀⣸⡆⠖⠀⠀⢹⣞⢀⢼⡗⠀⠄⣴⠄ ⠀⠉⠀⠀⠀⣸⡁⠂⠸⣿⣙⡳⠄⣤⣀⣀⣀⡀⢹⣿⡄⠀⠁⠀⠐⡥⡂ ⠀⠀⠀⠀⡁⡿⣌⠀⠀⠀⠈⠉⠣⡟⠂⠯⠋⠃⠀⠩⡯⡠⠀⠀⠀⡗⣷ ⠀⠀⠀⠀⢐⣋⣎⡀⠂⠀⠀⢠⣔⠀⠀⠀⠀⠀⠀⠀⢊⡏⠄⠄⠀⢞⡒ ⠀⠀⠀⠀⢀⣆⣲⡀⠀⠀⡜⣯⡧⠃⠀⠀⠀⠀⠀⠀⠀⡻⣦⠀⠀⣟⠛ ⠀⠀⠀⠀⠀⠪⣷⡧⡄⠀⡍⣝⡗⠀⠀⠀⠀⠀⠀⠀⠀⢘⣟⠱⣾⠓⠀ ⠀⠀⠀⠀⠀⠀⠑⢟⣻⣲⡦⣶⢇⣀⡀⡀⡀⢀⠀⠆⡕⡸⡽⢣⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢛⠋⠉⠉⠉⠉⠉⠉⠉⠉⠁⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣧⣶⣶⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣾⢿⣿⣿⣿⣏⠉⠉⠛⠛⠿⣷⣕⠀⠀⠀⠀⠀⠀⢀⡀ ⠀⠀⠀⠀⣠⣾⢝⠄⢀⣿⡿⠻⣿⣄⠀⠀⠀⠀⠈⢿⣧⡀⣀⣤⡾⠀⠀⠀ ⠀⠀⠀⢰⣿⡡⠁⠀⠀⣿⡇⠀⠸⣿⣾⡆⠀⠀⣀⣤⣿⣿⠋⠁⠀⠀⠀⠀ ⠀⠀⢀⣷⣿⠃⠀⠀⢸⣿⡇⠀⠀⠹⣿⣷⣴⡾⠟⠉⠸⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⠗⡀⠀⠀⢸⣿⠃⣠⣶⣿⠿⢿⣿⡀⠀⠀⢀⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠘⡿⡄⣇⠀⣀⣾⣿⡿⠟⠋⠁⠀⠈⢻⣷⣆⡄⢸⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⢻⣷⣿⣿⠿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠻⣿⣷⣿⡟⠀⠀⠀⠀⠀⠀ ⢀⣰⣾⣿⠿⣿⣿⣾⣿⠇⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣅⠀⠀⠀⠀⠀⠀ ⠀⠰⠊⠁⠀⠙⠪⣿⣿⣶⣤⣄⣀⣀⣀⣤⣶⣿⠟⠋⠙⢿⣷⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣿⡟⠺⠭⠭⠿⠿⠿⠟⠋⠁⠀⠀⠀⠀⠙⠏⣦⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣸⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣻⣿⣿⣿⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣄⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣷⣍⡓⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠉⠉⠛⠉⠛⠿⣿⣿⣿⣦⡙⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠿⡿⠛⡁⠞⠁⣿⣿⣿⡟⢿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠰⠞⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡿⣡⠞⣤⠞⠁⠀⣸⣿⣿⣿⡇⠸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣄⠀⠀⠀⠀⣠⣴⣾⣿⣤⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣯⠞⢁⡾⠁⠀⠀⠀⢻⣿⣿⣿⠇⠀⠈⠻⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣖⣰⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠋⣰⠏⠀⠀⠀⠀⠀⠈⣿⣿⡟⠀⠀⠀⠀⢿⣿⣿⣿⣾⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⡏⣿⣿⣼⠏⠀⠀⠀⠀⠀⠀⣸⣿⣿⡇⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⢿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⡿⢱⡿⢻⡇⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠇⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣦⣀⣴⣾⣿⣿⡿⠟⠉⠀⠀⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⡇⣸⡇⡿⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⢻⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⡇⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡟⠀⠀⢀⣠⣴⣶⣶⣿⣿⣿⣿⣿⣿⣯⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣷⣿⠃⠀⡄⠀⠀⠀⠀⠀⠀⣾⣿⣿⡿⠁⣀⣰⣿⣿⣿⣿⣿⡿⠟⠋⠻⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣿⡏⣿⡀⢠⣿⡀⠀⠀⠀⠀⢀⣿⣿⣿⣷⣾⣿⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀⢻⣿⣿⣿⣷⢀⠀⠀⠀⠀⠀⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⡇⢻⡇⠸⣼⣇⠀⠀⢀⣠⣼⣿⣿⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣾⣠⣶⡄⠀⣸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣿⡜⣿⡰⣻⣿⣴⣾⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣦⣠⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⣿⣹⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢸⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⡀⢀⣾⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⣷⣿⣿⣿⣮⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠙⠛⢿⡛⣿⣯⠟⠉⠀⠈⢿⣮⡹⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⠿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠩⠿⠛⠁⠀⠀⠀⠀⠀⠉⠻⣦⣹⣿⣿⣿⣿⣿⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣶⣿⣿⣿⣿⡿⠛⠁⠀⠙⠻⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⠛⠻⣿⣿⣿⣿⣿⣷⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡿⠿⣶⣦⣬⣭⣉⣉⣙⣛⣛⣛⣻⣿⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣿⡃⢙⢦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡇⠀⠀⠀⠉⠉⠉⠉⠋⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡿⢽⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⢻⣿⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⡿⠛⠉⣰⣿⠇⠘⣿⡀⠙⠻⣿⣧⡀⢀⡤ ⠀⠀⢠⣿⠏⠀⠀⢠⣿⡟⠀⠀⢹⣧⠀⢀⣬⣿⣿⡉⠀ ⠀⠀⢸⡏⠀⠀⠀⣾⣿⠁⠀⢀⣠⣿⡿⠛⠉⠈⣿⣷⠀ ⠀⠀⠘⠀⠀⠀⣸⣿⣧⣶⣿⠿⠋⠉⣿⡀⠀⠀⢸⣿⠀ ⠀⠀⡀⢀⣠⣴⣿⡿⠟⠋⠀⠀⠀⠀⠘⣇⠀⠀⢸⣿⠀ ⢀⣤⣶⡿⠟⢻⣿⠁⠀⠀⠀⠀⠀⠀⠀⢹⡄⢀⣿⠇⠀ ⠞⠋⠁⠱⣤⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣳⣾⠋⠀⠀ ⠀⠀⠀⠀⣾⡟⢦⣄⡀⠀⠀⠀⢀⣀⣤⡾⠛⢣⠀⠀⠀ ⠀⠀⠀⠀⡿⠀⠀⠈⠙⠛⠛⠛⠛⠉⠁⠀⠀⠀⠂⠀⠀ ⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠤⠴⠤⠤⠠⠴⠠⠤⠄⠀⠂⠰⠆⠄⠢⠆⠶⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣶⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣯⠀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣯⠉⠉⠛⠻⠿⠿⢿⣿⣿⣦⡑⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠛⠹⠛⣿⣿⡿⢿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠶⠂ ⠀⠀⠀⠀⠀⠀⠀⣰⣿⣯⢞⡴⠋⠀⣸⣿⣿⡇⠸⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣆⠀⢀⣀⣠⣶⣿⡤⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⣿⡷⢡⠞⠀⠀⠀⢹⣿⣿⠇⠀⠈⢿⣿⣷⣄⣄⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣷⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⣿⣿⣰⠋⠀⠀⠀⠀⢰⣿⣿⠀⠀⠀⠘⣿⣿⣿⣿⣆⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⡟⣾⣿⠇⠀⠀⠀⠀⠀⣾⣿⡿⠀⠀⠀⠀⠘⣿⣿⣿⣿⣀⣤⣾⣿⡿⠟⠉⠁⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣃⣿⡟⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⢀⣘⣿⣿⣿⣿⣿⠿⠉⠀⠀⠀⠀⢹⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⡿⠃⠀⠀⠀⠀⠀⢠⣿⣿⡿⠀⢠⣴⣿⣿⣿⣿⡿⣿⣿⣿⡀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⡇⠀⣧⠀⠀⠀⠀⣸⣿⣿⣧⣶⣿⣿⡿⠟⠋⠁⠀⠘⣿⣿⣿⡄⠀⠀⠀⠀⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢹⡏⣿⠸⣿⡄⠀⣀⣴⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣥⣶⠀⢠⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⣽⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡿⣿⣿⣧⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣼⣿⣿⣿⣿⣿⠛⢉⣿⣿⡿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠙⣟⣹⡿⠋⠁⠈⠻⣯⡿⣿⣿⣿⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⠟⢿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⠉⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣷⣦⣤⣀⣀⣀⣤⣴⣶⣿⣿⣿⡿⠟⠁⠀⠀⠉⠻⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣶⣬⣙⣛⡛⠛⠿⠿⠿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⠛⢄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡿⠀⠈⠉⠉⠉⠙⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠘⠛⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠸⠇⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⢀⡀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡿⠋⠀⢀⣠⣴⠀⠀⣦⡀⠀⠹⣿⣷⣦⣄⡀⠀⠙⢿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠏⠀⢀⣴⣿⣿⡏⠀⢸⣿⣷⡄⠀⠘⣿⣿⣿⣿⣦⡀⠀⠹⣿⣿⣿⣿ ⣿⣿⣿⡏⠀⢠⣾⣿⣿⡿⠀⢀⣿⣿⣿⣿⣄⠀⠈⢿⣿⣿⣿⣷⡄⠀⢹⣿⣿⣿ ⣿⣿⣿⠀⠀⣿⣿⣿⣿⠃⠀⣸⣿⣿⣿⣿⣿⣦⠀⠈⠿⠿⠛⠛⠋⠀⠀⠀⣿⣿ ⣿⣿⣿⠀⢸⣿⣿⣿⡏⠀⠀⠿⠿⠛⠛⠋⠉⠁⠀⠀⠀⠀⣀⣠⣤⡄⠀⣾⣿⣿ ⣿⣿⠟⠀⠀⠛⠋⠉⠀⠀⠀⠀⣀⣀⣠⣤⣴⣶⣶⣷⡄⠀⠙⣿⣿⠀⠀⣿⣿⣿ ⣿⣿⣀⡀⠀⠀⢴⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠘⠃⠀⣸⣿⣿⣿ ⣿⣿⣿⣿⣆⠀⠈⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠰⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣷⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⣠⡀⠀⠹⣿⣿⣿ ⣿⣿⣿⣿⣿⠇⠀⢠⣦⣄⡀⠀⠀⠈⠉⠉⠁⠀⠀⢀⣠⣴⣾⣿⣿⡄⠀⠙⣿⣿ ⣿⣿⣿⣿⣟⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣿⣿⣿⣿⣿⣷⣶⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⠟⠋⠁⠀⣾⣿⣿⠁⠀⢿⣿⡄⠈⠙⠻⣿⣿⣿⣧⡀⠀⠀⠀⢀⡀ ⠀⠀⠀⠀⠀⢀⣾⣿⣿⠋⠀⠀⠀⠀⣼⣿⣿⠇⠀⠀⠘⣿⣷⠀⠀⠀⠀⠙⢿⣿⣿⣆⣴⡾⠋⠁ ⠀⠀⠀⠀⠠⣾⣿⡿⠁⠀⠀⠀⠀⣸⣿⣿⡟⠀⠀⠀⠀⠸⣿⣧⠀⠀⢀⣠⣼⣿⣿⣿⣇⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⢠⣿⣿⣿⠁⠀⠀⠀⠀⠀⣻⣿⣶⣾⡿⠟⠋⠁⢻⣿⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⣿⠃⠀⠀⠀⠀⠀⣾⣿⣿⠇⠀⢀⣀⣤⣶⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀ ⠀⠀⠀⠀⠀⠿⠀⠀⠀⠀⠀⣸⣿⣿⣿⣤⣾⣿⣿⣿⠟⠋⠀⠘⣿⣷⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠸⣿⣆⠀⠀⠀⠀⢸⣿⣿⠀⠀ ⠀⠀⠀⠀⠆⠀⣀⣤⣾⣿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡀⠀⠀⠀⣼⣿⡟⠀⠀ ⠀⠀⢀⣠⣴⣾⣿⣿⡿⢿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣇⠀⠀⢰⣿⣿⠁⠀⠀ ⠀⢠⣿⣿⠿⠻⣏⠀⠀⣼⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⣠⣿⣿⠃⠀⠀⠀ ⠐⠋⠉⠀⠀⠀⠘⢷⣼⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⠟⢯⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⣿⡇⠀⠙⠿⣶⣦⣤⣤⣤⣤⣤⣤⣤⣶⣾⣿⠿⠛⠁⠀⠘⢧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡿⠀⠀⠀⠀⠀⠈⠙⠛⠛⠛⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀ ⠀⠀⠀⠀⠘⠘⠛⠘⠛⠻⠛⠓⠋⠛⠻⠓⠐⠒⠒⠛⠁⠀⠀⠀⠀⠇⠞⠐⠂⠁⠛⠃⠛⠛⠀⠀

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

⠀⠀⠀⠀⠀⠀⠀⣀⣤⠤⠶⠒⠒⠚⠋⠉⠉⠛⠛⠲⠶⣦⣤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣠⡴⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠾⢿⣿⠀⠀⠀⠀⠀⠀ ⠸⣿⣀⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠒⠋⠉⠀⠀⠈⣿⡀⠀⠀⠀⠀⠀ ⠀⠈⠙⢿⣟⠛⠛⠛⠋⠉⢁⡴⢚⣿⠲⡄⠀⠀⠀⠀⠀⠀⠀⣿⣧⣦⣤⡤⠶⠂ ⠀⠀⠀⢀⣙⣷⡀⠀⠀⠀⣾⢀⠎⢹⣧⣽⠀⠀⠀⠀⢠⣤⣾⣿⢹⡿⡉⠀⠀⠀ ⠀⢀⠔⠚⠛⠛⠛⣄⠀⠀⣿⣾⡶⠋⢻⣾⠀⠀⠀⠀⠘⢿⣿⡿⡌⠿⢱⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣿⠁⠀⣿⡋⠀⠀⢈⣿⡀⠀⠀⠀⠀⢀⣉⣴⡏⠑⠊⠀⠀⠀ ⠀⠀⣀⣀⣠⠤⠖⠛⠑⠒⠈⠙⠒⠒⠋⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀ ⣼⠉⣁⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠀⠈⢉⣹⣿⠀⠀⠀⠀⠀⡠⠀ ⢿⠀⡏⠉⠉⠉⢹⣷⣶⣤⣀⡀⠈⠉⢰⠊⠀⠀⣠⣶⣿⣿⣿⡀⠀⠀⣀⡴⠃⠀ ⠘⡄⠀⠀⢀⣦⢾⣿⣿⣿⣿⣿⣷⣶⣤⣤⣴⣿⡿⣿⣿⣿⣿⣿⣿⡿⢋⠀⠀⠀ ⠀⠹⣤⣴⡟⢹⣾⣿⣿⣍⣙⣻⣿⣿⣿⣿⣋⣁⣴⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠹⣿⠛⠛⡛⠛⢋⣠⡍⠛⠋⠉⢠⣤⡄⢸⡿⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⢧⡘⠿⣷⣤⢽⢤⠤⠴⡲⠛⢁⠕⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠬⢝⣃⣚⣊⡥⠔⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣧⣶⣶⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣾⢿⣿⣿⣿⣏⠉⠉⠛⠛⠿⣷⣕⠀⠀⠀⠀⠀⠀⢀⡀ ⠀⠀⠀⠀⣠⣾⢝⠄⢀⣿⡿⠻⣿⣄⠀⠀⠀⠀⠈⢿⣧⡀⣀⣤⡾⠀⠀⠀ ⠀⠀⠀⢰⣿⡡⠁⠀⠀⣿⡇⠀⠸⣿⣾⡆⠀⠀⣀⣤⣿⣿⠋⠁⠀⠀⠀⠀ ⠀⠀⢀⣷⣿⠃⠀⠀⢸⣿⡇⠀⠀⠹⣿⣷⣴⡾⠟⠉⠸⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⠗⡀⠀⠀⢸⣿⠃⣠⣶⣿⠿⢿⣿⡀⠀⠀⢀⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠘⡿⡄⣇⠀⣀⣾⣿⡿⠟⠋⠁⠀⠈⢻⣷⣆⡄⢸⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⢻⣷⣿⣿⠿⣿⣧⠀⠀⠀⠀⠀⠀⡀⠻⣿⣷⣿⡟⠀⠀⠀⠀⠀⠀ ⢀⣰⣾⣿⠿⣿⣿⣾⣿⠇⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣅⠀⠀⠀⠀⠀⠀ ⠀⠰⠊⠁⠀⠙⠪⣿⣿⣶⣤⣄⣀⣀⣀⣤⣶⣿⠟⠋⠙⢿⣷⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣿⡟⠺⠭⠭⠿⠿⠿⠟⠋⠁⠀⠀⠀⠂⠙⠏⣦⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣴⣶⣶⣶⠿⠿⠿⠿⠿⠿⠿⠿⢿⣷⣶⣶⣶⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⡿⠿⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⡿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⣶⣾⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣴⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣾⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣶⡿⠿⠛⠻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⡶⠿⠛⠋⠁⠀⠀⠀⠀⢹⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⣿⣿⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠙⠿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⡶⠾⠿⠿⠟⠋⠉⠀⣠⣶⡿⣿⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣧⢀⣠⡔⠀⠀⠀⣀⣀⣀⣀⡀ ⠀⠀⠀⠀⠀⠈⠛⢿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠋⠀⣰⣿⣿⡄⠻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠃⠀⣸⠋⠹⣿⣿⡀⢹⣧⣀⡠⠀⠀⠀⠀⠀⠀⠀⢀⡀⢀⣤⣾⣿⣿⠛⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣀⣤⣼⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⣿⡏⠀⣼⠏⠀⠀⣸⣿⣷⡿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⡟⠀⣿⣿⠻⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣾⣿⣿⠿⢿⣿⣿⣧⡀⠀⠀⠀⠀⠀⣿⡇⣼⡿⣠⣴⣿⠟⢻⣿⡄⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣷⡀⠻⣍⣧⠸⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠴⠋⠁⠀⠀⠀⠀⠀⠀⠀⢙⣷⣄⠀⠀⠀⠀⣿⣷⣿⣿⡿⠋⠁⠀⠈⣿⣷⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⡟⠻⣷⣄⠙⠋⠀⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡿⠓⠂⠀⠀⢿⣿⡿⠏⠀⠀⠀⠀⠀⢸⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠟⠃⣠⣿⠟⠷⣦⣴⡏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣇⠀⠀⠀⠀⢸⣿⣇⠀⠀⠀⠀⠀⠀⣼⡟⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣴⣾⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣾⡿⠿⠶⣦⣄⠘⠟⠛⠷⣦⣤⣤⣴⡾⠋⠀⠀⠉⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣠⣤⣤⣴⡶⠾⠟⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣶⠟⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠛⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀ ⣾⡿⠀⠀⣠⣤⣤⣤⣤⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠁⠀⠀⠀⠀⠀⣠⣼⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀ ⣿⡇⠀⢸⣿⠟⠛⠉⠉⠉⠛⠛⠻⣿⣷⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠲⣶⡶⠋⠁⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠀⠀⠀ ⢻⣧⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣷⣶⣤⣀⡀⠀⠀⠀⠀⠀⢹⠃⠀⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⡀⠀⠀⠀⠀⣀⣴⣿⠏⠀⠀⠀⠀ ⠈⢿⡄⠀⠈⠃⠀⠀⠀⠀⣦⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣀⡀⠈⠃⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀ ⠀⠘⣷⡀⠀⠀⠀⠀⠀⣠⣿⣿⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⡿⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⡠⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⣷⡀⠀⠀⣠⣾⣿⠿⣿⣤⣿⣿⣿⣿⣿⡉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠁⢀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠞⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢹⠿⠿⠿⠿⡿⠁⠀⢻⣿⣿⣿⣿⣿⣿⣿⣦⣄⣀⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣶⣿⣿⣿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠉⠛⠿⣿⣿⡿⠿⠟⠋⠉⠀⠀⣀⠀⠀⠀⢹⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⠉⠀⠀⣀⣀⣀⣀⠀⠠⣤⣶⡖⣶⡆⠀⠀⠀⠀⠀⠀⢀⣽⣿⣿⡇⠀⢀⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡀⠀⣿⣿⣿⣧⣀⠀⠈⠙⡟⠉⠀⠀⠀⣀⣠⣤⣶⣻⡷⠋⠡⠇⣠⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡈⠋⠻⣿⣏⡽⣿⢻⣿⠶⣿⠟⢻⡟⢋⡤⠚⠁⠀⢀⡠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣦⣄⡈⠙⠳⠿⢾⣩⣦⣯⡴⠾⠓⠉⢀⣀⡤⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠶⠶⣤⣤⣤⣤⣤⣴⠶⠾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⡿⢿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⣿⡿⠟⠋⣿⣿⠙⢿⣿⣆⠀⠈⠙⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⣿⡿⠋⠀⠀⢰⣿⡇⠀⠈⢻⣿⣧⠀⠀⠀⠀⠙⢿⣿⣆⠀⠀⠀⠀ ⠀⠀⠀⢰⣿⡟⠁⠀⠀⢀⣿⡿⠀⠀⠀⠀⠻⣿⣷⡀⠀⠀⠀⠈⢻⣿⡆⠀⠀⠀ ⠀⠀⠀⣿⣿⠀⠀⠀⠀⣼⣿⠇⠀⠀⠀⠀⠀⠙⣿⣷⣀⣀⣤⣤⣴⣿⣿⣿⠀⠀ ⠀⠀⠀⣿⡇⠀⠀⠀⢰⣿⣿⣀⣀⣤⣤⣴⣶⣾⣿⣿⣿⣿⠿⠟⠛⢻⣿⠁⠀⠀ ⠀⠀⣠⣿⣿⣤⣴⣶⣿⣿⣿⣿⠿⠿⠟⠛⠋⠉⠉⠈⢻⣿⣦⠀⠀⣿⣿⠀⠀⠀ ⠀⠀⠿⢿⣿⣿⡋⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣧⣼⣿⠇⠀⠀⠀ ⠀⠀⠀⠀⠹⣿⣷⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⠟⢿⣿⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⣿⡟⠙⠻⢿⣿⣿⣷⣶⣶⣾⣿⣿⡿⠟⠋⠁⠀⠀⢻⣿⣦⠀⠀ ⠀⠀⠀⠀⠠⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⠿⠛⠋⢡⣿⣿⣿⡟⠀⢹⣿⣿⡌⠙⠛⠿⣿⣿⣿⣿⣿⣦⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⠟⠋⠀⠀⠀⠀⣾⣿⣿⣿⠃⠀⠀⢻⣿⣷⡀⠀⠀⠈⠙⢿⣿⣿⣿⣷⣆⠀⠀⠀⢀⣤⣴ ⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⣾⣿⣿⣿⠇⠀⠀⠀⠈⣿⣿⣧⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣧⣤⣾⠟⠁⠀ ⠀⠀⠀⠀⠀⠀⣴⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⡿⠀⠀⠀⠀⠀⠘⣿⣿⣦⠀⠀⠀⠀⣠⣤⣿⣿⣿⣿⣿⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⣿⣿⠁⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⢹⣿⣿⣤⣤⣶⣿⣿⠿⠛⠙⣿⣿⣿⣷⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⣿⠃⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⢀⣀⣴⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠘⣿⣿⣿⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⡏⠀⠀⢀⣤⣴⣶⣿⣿⣿⠿⢿⣿⣦⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⠄⠀ ⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣠⣴⣿⣿⣿⣿⡿⠟⠋⠀⠀⠘⣿⣿⡆⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠸⣿⣿⡀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀ ⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣿⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣇⠀⠀⠀⠀⠀⢸⣿⣿⡿⠀⠀ ⠀⠀⠀⠀⠀⠻⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⡿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡆⠀⠀⠀⠀⣼⣿⣿⠇⠀⠀ ⠀⠀⠀⣀⣤⣶⣾⣿⣿⣿⣿⠿⢻⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣇⠀⠀⠀⣰⣿⣿⡟⠀⠀⠀ ⠀⠀⣼⣿⣿⣿⡿⢿⡋⠁⠀⢀⣾⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⣰⣿⣿⡟⠀⠀⠀⠀ ⢠⡾⠿⠛⠉⠀⠀⠈⢿⣦⣀⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣶⣿⣿⠟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡿⠧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⠿⠙⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⠃⠀⠙⠻⣿⣶⣦⣤⣤⣀⣀⣀⣀⣀⣠⣤⣤⣶⣿⣿⡿⠿⠛⠁⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡏⠀⠀⠀⠀⠀⠉⠙⠛⠿⠿⠿⢿⣿⣿⠿⠿⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡀⣄⣀⢀⣄⡄⣀⣀⣀⢠⣀⣀⣀⣀⠀⠀⡀⣀⢀⣀⡀⠀⠀⠤⠠⠀⢄⠠⠄⢠⠀⢄⡤⣠⣄⢤⣄⣄⠀⠀ ⠀⠀⠀⠀⠀⠐⠃⠃⡛⠊⡓⢃⡓⠚⠐⡛⠚⠚⠛⠚⠃⠘⠒⠓⠛⠃⠃⠀⠀⠒⠐⠂⠒⠘⠓⠒⠓⠂⠒⠛⠊⠀⠛⠋⠀⠀

⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⣿⠿⣟⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣏⡏⠀⠀⠀⢣⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣟⠧⠤⠤⠔⠋⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⡀⢀⣶⠤⠒⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠈⢿⣆⣠⣤⣤⣤⣤⣴⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⢿⢿⠀⠀⠀⢀⣀⣀⠘⣿⠋⠁⠀⠙⢇⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⢇⡞⠘⣧⠀⢖⡭⠞⢛⡄⠘⣆⠀⠀⠀⠈⢧⠀⠀⠀⠙⢿⣄⠀⠀⠀⠀ ⠀⠀⣠⣿⣛⣥⠤⠤⢿⡄⠀⠀⠈⠉⠀⠀⠹⡄⠀⠀⠀⠈⢧⠀⠀⠀⠈⠻⣦⠀⠀⠀ ⠀⣼⡟⡱⠛⠙⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠹⣧⡀⠀ ⢸⡏⢠⠃⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠸⣷⡀ ⠸⣧⠘⡇⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⣿⠇ ⠀⣿⡄⢳⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠈⠆⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀ ⠀⢹⡇⠘⣇⠀⠀⠀⠀⠀⠀⠰⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⣼⡟⠀⠀ ⠀⢸⡇⠀⢹⡆⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢳⣼⠟⠀⠀⠀ ⠀⠸⣧⣀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⢃⠀⢀⣴⡿⠁⠀⠀⠀⠀ ⠀⠀⠈⠙⢷⣄⢳⡀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⣠⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⢿⣷⣦⣄⣀⣀⣠⣤⠾⠷⣦⣤⣤⡶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣅⣁⢈⣭⣿⣷⣾⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣴⣖⣦⣤⣲⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣯⡿⠟⠋⠉⠻⡟⢟⡽⣗⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⢞⢝⣍⢿⣹⡿⠳⣛⣋⣓⣩⣲⡤⡀⠀⠀⠀⠀⠀⣰⡿⣣⠟⠁⠀⠀⠀⠀⠀⠘⢑⡻⣟⡧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠐⣿⣽⡿⣿⣟⡁⠀⠀⠀⠉⠉⢻⣟⠋⠝⢓⢤⣠⡴⣶⡿⣟⣭⣓⠖⠢⣤⣀⣀⣀⣬⡶⣻⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣹⣫⢿⡇⣃⠴⡀⣀⡠⠤⠶⠒⣺⠿⣟⢸⣯⣃⣳⡾⡲⠷⣮⣥⣼⣮⣤⣥⣾⣿⣿⣻⡿⢯⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢘⠣⣿⣿⣶⣾⣿⣷⣶⡂⢩⡭⢊⣽⣿⡿⠿⠿⢿⣦⣴⣙⠈⠙⠏⠉⠋⠉⠀⠩⠀⠂⠀⢀⣤⢤⣤⣤⣂⣅⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠀⠉⠉⠙⠟⡟⢛⠋⡵⣻⣿⠏⠀⠀⠀⠘⢿⢯⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⣀⠖⣫⠵⢏⣽⣿⣿⡧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⣩⢅⡏⠀⠀⠀⠀⠀⠈⠫⣳⠄⢹⡆⠀⠀⠀⠀⣢⣴⣿⣿⣿⠟⠁⠈⢿⢿⡿⠄⠀ ⠀⠀⣰⣾⣏⣩⣉⠰⣄⠀⠀⠀⠀⣠⢖⣴⢟⠎⠀⠀⠀⠀⠀⠀⠀⠀⠉⠷⣾⣿⡀⠀⢠⣾⣿⣿⡿⠟⠁⠀⠀⠀⣸⣾⠣⠂⢀ ⠀⣰⡇⠈⠙⠤⣽⣿⣹⣷⣤⣈⣴⣩⡤⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠒⠛⠛⡫⠁⠀⠀⠀⣀⣴⣾⡿⠃⠁⠀⠘ ⢰⣿⣹⡄⠀⠀⠀⠉⠛⠻⠿⠛⠋⠉⠂⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⣀⡀⣤⡶⠁⢼⣿⠃⠀⠀⠀⠀ ⢹⡇⠂⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡁⡆⠡⣬⣧⣀⡜⠁⠀⠀⠀⠀⠀ ⠀⠱⡄⢂⠣⠀⣠⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⢶⠃⠙⠋⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠢⢀⣙⠿⣿⡿⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡾⡄⠀⠀⠀⣀⣀⠀⠀⠀⡄⠀ ⠀⠀⠀⠀⠀⠈⠑⠊⠁⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠺⢿⣿⣿⡶⡤⣕⡤⠀⠂⠀ ⠀⢀⠀⣤⠔⠆⢶⣶⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠁⠄⠀⠀ ⠁⣠⡎⠀⣀⣠⡾⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠄⠀⠀⠀ ⠀⣿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀ ⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⋆౨ৎ˚⟡˖ ࣪⋆୨୧⋆⋆ ˚｡⋆୨♡୧⋆ ˚｡⋆

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⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬛🟨🟨⬛⬛⬛⬛⬛⬜⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬛🟨🟨⬛🟨🟨🟨🟨⬛🟨🟨⬛⬜⬜⬜⬜ ⬜⬜⬜⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬜⬜⬜⬜ ⬜⬜⬛🟨⬛🟨🟨🟨🟨🟨🟨🟨⬛⬜⬜⬜⬜⬜ ⬜⬜⬛🟨🟨⬛🟨🟨🟨⬛⬛🟨🟨⬛⬜⬜⬜⬜ ⬜⬜⬜⬛🟨⬛🟨🟨⬛🟨🟨🟨🟨⬛⬜⬜⬛⬛ ⬜⬜⬛⬛🟨🟨🟨🟨🟨🟨🟨⬛⬛⬜⬜⬛🟨⬛ ⬜⬛🟧🟧⬛⬛🟨🟨🟨⬛⬛🟫⬛⬜⬜⬛🟨⬛ ⬜⬜⬛🟫🟫⬛⬛⬛⬛⬛🟫🟫🟫⬛⬛🟨⬛⬜ ⬜⬛⬜⬛⬛🟧🟧🟧⬛⬛⬛⬛⬛⬛🟨🟨⬛⬜ ⬛⬛⬛⬛⬛🟧🟧🟧🟫⬛⬛🟨⬛🟨🟨⬛⬜⬜ ⬛🟨🟨🟨⬛🟨🟨⬛⬛🟫⬛🟨🟨⬛⬛⬜⬜⬜ ⬛🟨🟨🟨🟨⬛🟨⬛🟨⬛🟨⬛🟨🟨⬛⬜⬜⬜ ⬜⬛🟨🟨🟨⬛⬛⬛🟨🟨🟨⬛🟨🟨⬛⬜⬜⬜ ⬜⬛🟨🟨⬛⬜⬜⬛🟨🟨🟨⬛⬛⬛⬛⬜⬜⬜ ⬜⬜⬛⬛⬜⬜⬜⬜⬛🟨⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜

⬜⬜⬜⬜⬜⬜⬜⬜🟫🟫⬜⬜⬜🟫🟫⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟧🟧⬛⬛⬛🟧🟧⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟫🟧🟧🟧🟧🟧🟫⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛🟧🟧🟧⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬛🟧⬛⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜ ⬜⬜⬛🟩🟩⬛⬜⬜⬜🟫⬛🟧⬛🟫⬜⬜⬜⬛🟩🟩⬛⬜⬜ ⬜⬜⬛🟩🟩⬛⬜⬜🟫🟧🟫🟧🟫🟧🟫⬜⬜⬛🟩🟩⬛⬜⬜ ⬜⬜⬜⬛⬛🟩⬛⬜🟫🟧🟧🟧🟧🟧🟫⬜⬛🟩⬛⬛⬜⬜⬜ ⬜⬛⬛🟫🟩🟩🟩⬛🟫🟧🟧🟧🟧🟧🟫⬛🟩🟩🟩🟫⬛⬛⬜ ⬛🟩🟩🟩⬛🟩🟩⬛🟫🟧⬜🟧⬜🟧⬛⬛🟩🟩⬛🟩🟩🟩⬛ ⬛🟩🟩⬛🟧⬛⬛⬜🟫🟧⬛🟧⬛🟧⬛⬜⬛⬛🟧⬛🟩🟩⬛ ⬜⬛⬛🟫🟧🟧🟫🟫⬛🟧🟪🟪🟪🟧⬛⬜⬜⬛🟧🟧⬛⬛⬜ ⬜⬜⬜⬜⬛🟧🟧🟧🟫🟧🟧🟧🟧🟧🟫⬛⬛🟫🟧⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛🟧🟧🟧🟧🟨🟧🟨🟧🟧🟧🟧⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛⬛🟨🟧🟨🟧🟧⬛⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜🟫🟧🟧🟧🟨🟧🟫⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟧🟧🟧🟧🟧🟧🟧⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟧🟧🟧🟧🟧🟧🟧⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜🟫⬛🟫⬛🟫⬛🟧⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬛🟫🟧🟫⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢲⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⢸⢸⢢⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠸⠘⠘⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⡀⡀⠀⢐⣽⡀⠀⠀⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠁⠀⠀⠀⠀⠈⠙⠏⠓⡂⠙⡄⠀⢘⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡦⠋⠉⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⡄⠀⢀⠄⠀⠀⠀⠀⠀⣀⡔⠓⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡀⢤⡤⠟⠒⠓⢒⠥⠄⠀⠀⠀⢀⠜⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠔⡪⠔⠊⠁⠀⠀⠀⢀⡇⠀⠀⠀⢀⡠⢛⠦⠤⣀⠀⠀⠀⠀⠀⠀ ⠀⡰⡕⠉⠀⠀⠀⠀⠀⡠⠖⠉⠀⠀⠀⢠⠎⣀⠎⠀⠀⠀⠈⠉⠉⠁⠈⠈ ⢰⠁⠀⠀⠀⠀⣀⠔⠙⢄⠘⠢⠤⠔⠚⠓⠉⠀⠀⠀⠀⡂⠀⠀⠀⠀⠀⠀ ⠐⠤⠄⠀⠤⠊⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⡤⠤⠤⠤⠤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠶⠖⠚⠛⠛⠛⠛⠓⠶⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣶⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣶⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠟⠉⠉⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⣠⠟⠉⠉⠉⠛⠛⠛⠿⡇⠀⠀⠀⠀⠀⣾⣿⣿⣿⡿⠟⠿⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠠⣶⡄⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⡏⠀⠀⣤⡄⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⣿⣿⣿⠏⢀⣤⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀⣧⠀⠀⠈⠁⠀⠀⠀⠀⡿⠀⠀⠀⠀⠈⣿⣿⣿⠀⢸⠈⠇⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠻⢦⣄⣀⣀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠘⢧⣀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⣿⣿⣿⠀⠸⣧⣦⠞⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠦⣤⣼⣿⡃⠀⠀⠀⠀⠀⠀⠀⠘⢆⠀⢈⡙⠓⠚⠋⢁⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡆⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⢀⣸⣿⣷⣦⣀⠀⢀⣀⣤⣤⣴⣇⡀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡇⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⢈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡇⠀⢀⣾⣿⣿⣿⣿⣿⠿⠟⠉⠙⠿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣧⠀⣼⣿⣿⠟⢁⠖⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠻⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡟⠀⠀⢀⣿⣿⣧⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣦⣿⣿⡏⠀⠀⠉⠛⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⠃⠀⢀⣾⣿⣿⣿⣿⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⡜⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣦⣤⣀⣠⣼⣶⣶⣶⣾⣏⡀⣀⣀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠈⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠉⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠉⠙⠛⠛⠛⠛⠛⠛⠋⠉⠉⠁⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⬜⬜⬜⬜🟩⬜⬜🟩⬜⬜🟩🟩⬜⬜⬜⬜⬜⬜ ⬜⬜🟩⬜🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬜⬜⬜ ⬜⬜🟩🟩🟩⬛🟩🟩🟩🟩🟩⬛🟩🟩🟩⬜⬜⬜ ⬜🟩🟩⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🟩🟩⬜⬜ ⬜🟩⬛⬛⬛🏼🏼⬛⬛⬛🏼🏼⬛⬛⬛🟩⬜⬜ ⬜⬛⬛⬛🏼🏼🏼🏼🏼🏼🏼🏼🏼⬛⬛⬛⬜⬜ ⬜⬛⬛🏼🏼🏿⬜🏼🏼🏼⬜🏿🏼🏼⬛⬛⬜⬜ ⬜⬛⬛🏼🟪🏿🏿🏼🏼🏼🏿🏿🟪🏼⬛⬛⬜⬜ ⬜⬛⬛🏼🟪🟪🏼🏼🏼🏼🏼🟪🟪🏼⬛⬛⬜⬜ ⬜⬛⬛⬛🏼🏼🏼🏼🏼🏼🏼🏼🏼⬛⬛⬛⬜⬜ ⬜⬛⬛⬛⬛🏼🏼🏼🏼🏼🏼🏼⬛⬛⬛⬛⬜⬜ ⬜⬛⬛⬛⬛⬛⬛🏼🏼🏼⬛⬛⬛⬛⬛⬛⬜⬜ ⬜⬛⬛⬛🏼🏼🏼🏼🏼🏼🏼🏼🏼⬛⬛⬛⬜⬜ ⬜⬛🏼🏼🏼🟫🟫🟫🟫🟫🟫🟫🏼🏼🏼⬛⬜⬜ 🟩🟩🏼🏼🟫🟥🟥🟥🟥🟥🟥🟥🟫🏼🏼🏼🟩🟩 🏼🟩🟩⬛🟫🟥🟥🟥🟥🟥🟥🟥🟫⬛⬛🟩🟩🏼 🏼🏼🟩⬛⬛🟫🟫🟫🟫🟫🟫🟫⬛⬛⬛🟩🏼🏼 ⬜⬜⬜⬜⬜🏼🏼🏼🏼🏼🏼🏼⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜🟩🏼🏼🏼🏼🏼🏼🏼🟩⬜⬜⬜⬜⬜ ⬜⬜⬜🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬜⬜⬜⬜ ⬜⬜⬜🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬜⬜⬜⬜ ⬜⬜⬜🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬜⬜⬜⬜ ⬜⬜⬜🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬜⬜⬜⬜ ⬜⬜🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬜⬜⬜ ⬜⬜⬜⬜🟩🏼🟩⬜🟩⬜🟩🏼🟩⬜⬜⬜⬜⬜ ⬜⬜⬜⬜🏼🏼🏼⬜⬜⬜🏼🏼🏼⬜⬜⬜⬜⬜ ⬜⬜⬜🟩🟩🟩🟩🟩⬜🟩🟩🟩🟩🟩⬜⬜⬜⬜ ⬜⬜⬜🏼🏼🟩🏼⬜⬜⬜🏼🟩🏼🏼⬜⬜⬜⬜ ⬜⬜⬜🏼🏼🏼⬜⬜⬜⬜⬜🏼🏼🏼⬜⬜⬜⬜

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⠿⠋⠁⠀⢀⡀⠤⠤⠐⠒⠒⠒⠲⠤⢄⣀⠀⠈⢿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣋⣁⣀⣀⣀⣈⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠢⠘⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⢻⣿⣿⡿⠘⣿⣿⣿⣿⣿⣷⣶⣶⣦⣤⣤⣤⣤⡤⣶⡜⢿⣿⣿⣿⣿ ⣿⣿⣿⡿⠀⢹⣿⣧⣴⣿⣿⣿⣿⣿⠃⠈⢿⣿⣿⣿⣿⠃⠀⢿⣿⡌⣿⣿⣿⣿ ⣿⣿⣿⠁⠀⡀⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠘⡿⠿⠿⠿⠀⠀⣼⣿⡇⢸⣿⣿⣿ ⣿⣿⣿⣦⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣀⣤⡀⠀⠀⠀⣀⣌⢻⣿⡇⣼⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠻⠾⠇⠀⠀⠀⠿⠾⠃⠙⡃⢿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⢀⣀⣀⣀⣀⣀⠀⠀⠀⠁⢀⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⣠⣾⣿⣿⢛⡛⣿⣿⣿⣦⠀⢠⣾⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⡀⢰⣿⣋⣙⣿⣿⣿⣿⣷⣶⣿⡇⢸⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣼⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⡛⠿⢿⣿⣿⣿⠿⠟⣫⣾⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠿⠟⠈⠻⠿⣿⣿⣿⣿⣧⣤⣤⣀⠀⠀⠀⠀ ⠀⠀⠀⣠⣴⣶⣿⣿⣿⣿⣿⣦⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀ ⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣧⣴⣶⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣇ ⠸⣿⣿⣿⣿⣿⣿⣿⣯⠈⠉⢻⣿⣿⣿⣿⣶⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⡏ ⠀⢻⣿⣿⣿⣿⣿⣿⣿⣶⣾⠋⢀⣤⣄⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃ ⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⣉⣁⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀ ⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇ ⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇ ⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀ ⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀

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

⬜⬜⬜🟥⬜🟥⬜⬛⬜⬜⬜⬜⬜⬜⬜ ⬜🟥⬜🟥⬛🟥⬛🟥⬜⬛⬜⬜⬜⬜⬜ ⬜⬜⬛🟥🟥🟥🟥🏽⬛⬜⬜⬜⬜⬜⬜ ⬜⬛🟥🟥🟥🏽🟥🟥🏽⬛⬜⬜⬜⬜⬜ 🟥🟥🟥🟥🏽⬛🏽🟥🟥⬛⬛⬜⬜⬜⬜ ⬜⬛🟥🟥⬛🟥⬛🟥🏽⬛⬜⬜⬜⬜⬜ 🟥🟥🟥🏽⬛🏽⬛🏽🟥⬛⬛⬜⬜⬜⬜ ⬜⬛🟥🟥⬛🏽⬛🏽🏽⬛⬜⬜⬜⬜⬜ 🟥⬛🟥🟥⬛🏽⬛🟥🏽⬛⬛⬜⬜⬜⬜ ⬜🟥🏽🏽🟥🟥⬛🏽🏽⬛⬜⬜⬜⬜⬜ ⬛⬛🏽🏽⬛🏽⬛🏽🏽⬛⬛⬜⬜⬜⬜ ⬜🟥🟥🏽⬛🏽⬛🏽🟥⬛⬜⬜⬜⬜⬜ 🟥⬛🏽🟥⬛🏽⬛🏽🏽⬛⬛⬜⬜⬜⬜ ⬜⬛🏽🏽⬛🏽⬛🏽🏽⬛⬜⬜⬜⬜⬜ ⬛⬛🏽🏽⬛🏽⬛🏽🏽⬛⬛⬜⬜⬜⬜ ⬜⬛🏽🏽⬛🏽⬛🏽🏽⬛⬜⬜⬜⬜⬜ ⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜ ⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛⬛⬛⬛⬛ ⬛🟥⬛🟥🟥⬛⬛⬛⬛🟥⬛⬜⬜⬛⬛ ⬛🟥⬛🟥🟥🟥🟥🟥🟥🟥⬛⬜⬜⬛⬛ ⬛🟥⬛🟥🟥🟥🟥🟥🟥🟥⬛⬜⬜⬛⬛ ⬛🟥⬛⬛⬛⬛⬛⬛⬛🟥⬛⬛⬛⬛⬛ ⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛⬛⬛⬛⬜ ⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬛🟥🟥🟥🟥🟥⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬛🟥🟥🟥🟥🟥⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜

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⠀⠀⢀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡀⠀⠀ ⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣇⣀⣀⣸⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀ ⠀⠀⣼⣿⣇⠀⠀⠀⠀⠀⠀⢀⣿⡿⠿⠿⢿⣿⡀⠀⠀⠀⠀⠀⠀⣸⣿⣧⠀⠀ ⠀⢰⣿⣿⣿⡀⠀⠀⠀⠀⠀⣾⣿⠃⠀⠀⠘⣿⣷⠀⠀⠀⠀⠀⢀⣿⣿⣿⡆⠀ ⢀⣿⣿⣿⣿⣧⠀⢠⡆⠀⠈⢿⣿⡆⠀⠀⢰⣿⡿⠁⠀⠀⣤⠀⣼⣿⣿⣿⣷⡀ ⣸⣿⣿⣿⣿⣿⣦⣸⡇⠀⣀⣰⣿⡇⠀⠀⢸⣿⣆⣀⠀⠀⣿⣴⣿⣿⣿⣿⣿⣇ ⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢠⡄⠈⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⡟ ⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣼⣧⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁ ⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣄⠈⠛⠋⢁⡈⠙⠛⠁⣠⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀ ⠀⠀⠉⠛⠿⢿⣿⣿⣿⣿⣿⣿⣶⠐⣿⣿⠂⣶⣿⣿⣿⣿⣿⣿⣿⠿⠟⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣤⣈⣁⣤⣿⣿⣿⣿⣿⡟⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠟⣿⣿⠛⠿⠿⠛⣿⣿⠿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠀⠀⠀⠀⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

⠀⠀⠀⠀⣠⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣄⠀⠀⠀⠀ ⠀⠀⠀⢠⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡄⠀⠀⠀ ⠀⠀⠀⣾⣿⣿⠇⠀⢀⣀⣀⠀⣠⣾⡿⢿⣷⣄⠀⣀⣀⡀⠀⠸⣿⣿⣷⠀⠀⠀ ⠀⠀⣸⡿⠛⢁⣤⣾⣿⣿⣿⠀⣿⡇⢠⡄⢸⣿⠀⣿⣿⣿⣷⣦⡈⠛⢿⣇⠀⠀ ⠀⠀⠉⣀⣀⣀⣀⣀⣀⣀⣀⡀⠻⣷⣤⣤⣾⠟⢀⣀⣀⣀⣀⣀⣀⣀⣀⠉⠀⠀ ⣾⠟⢻⣿⠿⢿⣿⣿⣿⣿⣿⣿⣦⣄⣉⣉⣠⣴⣿⣿⣿⣿⣿⣿⡿⠿⣿⡟⠻⣷ ⣿⠀⢸⣿⣷⣄⠈⠙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠁⣠⣾⣿⡇⠀⣿ ⣿⡄⢸⣿⣿⣿⣧⡀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⢀⣼⣿⣿⣿⡇⢠⣿ ⠘⢷⣼⣿⣿⣿⣿⣿⣦⡀⠀⣠⣾⣿⣿⣿⣿⣷⣄⠀⢀⣴⣿⣿⣿⣿⣿⣧⡾⠃ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⠀⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠀⠀⠀

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⣶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣋⣉⣉⣉⣉⣉⣉⣹⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⡿⠋⠀⣨⣭⣍⠛⠛⠛⠛⣩⣭⣅⠀⠙⢿⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣿⠁⠀⠈⠋⣀⣿⡆⠀⠀⢰⣿⣀⠙⠁⠀⠈⣿⣄⠀⠀⠀⠀ ⠀⠀⢰⡿⠛⠋⠀⠀⠀⠀⠿⠿⠿⡾⢷⠿⠿⠿⠀⠀⠀⠀⠙⠛⢿⡆⠀⠀ ⠀⠀⠘⢷⣄⣤⣶⣶⣶⣶⣶⣶⣄⣀⣀⣰⣶⣶⣶⣶⣶⣶⣤⣠⡾⠃⠀⠀ ⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀ ⠀⣾⣿⣿⣿⡿⠋⠉⢻⣿⠛⠛⠛⢿⡿⠛⠛⠛⣿⡟⠉⠛⢿⣿⣿⣿⣷⠄ ⣠⣿⣿⣿⣿⡇⠀⠀⢸⣿⠀⠀⢀⣸⣇⡀⠀⠀⣿⡇⠀⠀⢸⣿⣿⣿⣿⡄ ⠈⣿⣿⣿⣿⣷⣤⣠⣼⣿⠶⠟⠛⠋⠙⠛⠻⠶⣿⣧⣄⣤⣾⣿⣿⣿⣿⠁ ⠸⣿⣿⣿⣿⣷⣭⣭⣥⣤⣤⣤⣴⣶⣶⣦⣤⣤⣤⣬⣭⣭⣾⣿⣿⣿⠿⠆ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀ ⠀⠀⠀⠀⠈⠻⠟⠿⣿⠿⠿⣿⠿⢿⡿⠿⣿⠿⠿⣿⠟⠻⠟⠁⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠰⠶⣿⣿⠶⠆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣶⡆⠀⣶⣶⣶⣶⣿⣿⣶⣶⣶⣶⠀⠀⠀⠀⠀ ⠀⠀⣿⡇⠀⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀ ⢀⣤⣿⣧⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⡀ ⠀⣉⣉⣉⣉⣉⣉⣉⣿⣿⣿⣿⣏⣉⣉⣉⣉⣉⣉⠀ ⠈⠛⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⡟⠛⠛⠛⠛⠛⠛⠁ ⠐⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠂ ⠀⠀⣶⡆⠀⣶⣶⣶⣿⣿⣿⣿⣷⣶⣶⠀⠀⠀⠀⠀ ⠀⠀⣿⣧⣀⠙⠻⢿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀ ⠀⠀⠙⠻⢿⣷⣦⣄⡈⠛⠛⢁⣠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⣿⣧⣤⣤⣾⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⢿⡿⠉⠉⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣤⣤⣤⣤⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⠛⠛⠛⠛⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣶⡆⠀⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⠀⢰⣶⣄⠀⠀⠀ ⠀⢠⣾⣿⣿⡇⠀⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⢈⣿⣿⣿⣿⣿⠀⢸⣿⣿⣷⡄⠀ ⢠⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⡄ ⣼⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣧ ⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣷⡆⠀⠀⢰⣾⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿ ⢻⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⡟⠛⠁⠀⠀⠈⠛⢻⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⡟ ⠘⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⠿⠿⠇⠀⠀⠸⠿⠿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⠃ ⠀⠘⢿⣿⣿⡇⠀⣿⣿⣿⣿⣶⣶⡆⠀⠀⢰⣶⣶⣿⣿⣿⣿⠀⢸⣿⣿⡿⠃⠀ ⠀⠀⠀⠙⠿⠇⠀⣿⣿⣿⣧⣤⣤⡄⠀⠀⢠⣤⣤⣼⣿⣿⣿⠀⠸⠿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣉⣉⣉⣁⣰⣆⣈⣉⣉⣉⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠀⠠⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⡀⠀⠀⠀⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⠯⠒⠿⠛⣀⠀⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⠀⠀⠀⠀⠀⢀⡔⠈⠛⢃⡴⣗⠎⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⠀⢀⣁⢀⠔⠂⠂⢀⣕⠖⠒⠒⠄⠄⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⠰⠈⠂⠀⠄⠤⢀⡀⠀⠀⢀⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⠁⠁⠚⠄⠀⠐⠒⠁⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀⠀⠀⠀⠀⠀⠁⠂⣀⠀⢀⠀⠀⢀⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⢀⡠⠀⠀⠒⣎⢄⠒⠀⢌⡒⢂ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠂⠁⢄⠀⢈⠄⠀⠀⠄⢀⠞⠃⠀⡰⠁⠀⠈⠂ ⠀⠀⠀⠀⠀⠐⠁⠀⠀⡀⠉⢱⠐⠐⠂⠐⠒⠘⠡⢀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠂⣄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠪⠡⢠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⢀⣤⣤⣤⣤⣤⣤⣤⡄⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄ ⢸⣿⣿⣿⣿⣿⣿⣿⣷⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⡿⠿⠿⠿⠿⣿⣿⠿⢿⣿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿ ⢸⣿⣿⡿⠛⠃⠀⢀⡀⠀⢸⡏⠀⢸⣿⠀⠀⣀⠀⠀⠛⢻⣿⣿⣿ ⢸⣿⣿⡇⠀⢠⣤⣾⡇⠀⢸⡇⠀⢸⣿⠀⠀⣿⣦⣤⠀⢸⣿⣿⣿ ⢸⣿⣿⣇⣀⣀⠀⠀⣀⣀⣸⣧⣀⣸⣿⣀⣀⠀⠀⢀⣀⣸⣿⣿⣿ ⠈⠉⣻⣿⣿⣿⡀⠀⣿⠟⠛⠛⠛⢻⣿⣿⣿⡇⠀⣸⣿⣿⣿⣿⣿ ⢰⣾⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣤⣾⡏⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⠁⠈⣿⣿⣿⣿⣿⣿⣧⣠⣿⡏⠀⢻⣿⣿⣿⣿⣿ ⢸⣿⣿⣏⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠈⣿⡇⠀⠀⠀⣸⣿⣿⣿ ⢸⣿⣿⡿⠛⠛⠀⠀⣿⠀⠀⣿⣿⣿⡇⠀⣿⡇⠀⠘⠛⢿⣿⣿⣿ ⢸⣿⣿⣷⣤⣤⣤⣴⣿⣦⣤⣿⣿⣿⣧⣴⣿⣧⢤⣤⣤⣼⣿⣿⣿ ⠘⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠇⠀⠹⠿⠿⠿⠿⠟

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡆⢰⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠇⠸⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⣿⡇⠀⠀⢸⣿⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⣶⣶⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⢠⣤⣤⣼⣿⠉⠉⣿⣿⣿⣿⠉⠉⣿⣧⣤⣤⡄⠀⠀ ⠀⢠⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⡄⠀ ⢠⣿⣿⣿⣿⣿⣿⣆⠀⣿⣿⣿⣿⠀⣰⣿⣿⣿⣿⣿⣿⡄ ⠘⣿⣿⣿⣿⣿⣿⣿⣆⣿⣿⣿⣿⣰⣿⣿⣿⣿⣿⣿⣿⠃ ⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀ ⠀⠀⢹⣿⣿⣿⣿⣿⣿⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⡏⠀⠀ ⠀⠀⠀⢻⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⡟⠀⠀⠀

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

⠀⠀⠀⠀⠀⠀⠀⠀⢶⣦⡀⠀⠀⠀⠀⢀⣴⣶⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⣆⠈⢿⣿⣿⣿⣿⣿⣿⡿⠁⣠⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣆⠀⠻⣿⣿⣿⣿⠟⠀⣰⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⣿⣿⣆⠀⠈⠉⠉⠁⠀⣰⣿⣿⡏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣷⣶⡄⢠⣶⣾⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⢀⣶⣦⡀⠀⠀⠻⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⠟⠀⠀⢀⣶⣶⡀⠀ ⢀⣿⣿⣿⣷⣄⠀⠀⢨⣿⣿⣿⡇⢸⣿⣿⣿⡁⠀⠀⣠⣾⣿⣿⣿⡀ ⣼⣿⣿⣿⣿⣿⣿⣶⣼⣿⣿⣿⡇⢸⣿⣿⣿⣧⣶⣿⣿⣿⣿⣿⣿⣧ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠁⠈⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿ ⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁ ⠀⠈⢿⣷⣍⠙⠻⠿⢿⣿⣿⣷⣤⣤⣾⣿⣿⠿⠿⠛⠉⣡⣾⡿⠁⠀ ⠀⠀⠈⠻⣿⣿⣄⠀⢀⣤⠀⠉⢉⡉⠉⠀⣤⡀⠀⣠⣿⣿⠟⠁⠀⠀ ⠀⠀⠀⠀⠈⠛⢿⣿⣾⣿⣤⣀⣸⣇⣀⣤⣿⣷⣿⡿⠛⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⠿⠿⠿⠿⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⢀⣀⣠⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀ ⠀⢀⣴⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣦⡀⠀ ⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁ ⠀⠀⠉⠛⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠉⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⣿⣿⡿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣻⣿⣿⣟⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀ ⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀ ⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀ ⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆ ⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠁⠀⠀⠀⠀⠀⠀⠈⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟

⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⣿⢿⣿⣿⣷⣶⣦⣤⡀⠀ ⠀⠀⢾⡻⣶⣾⣿⣿⣛⣻⣮⡉⣿⣿⣿⠟⠋⠉⠀⠀ ⠀⠀⢸⢿⢿⣿⡿⠁⣀⠀⢛⣿⣿⣿⣷⣦⣄⠀⠀⠀ ⠀⠀⢸⠈⣿⣿⠁⠀⣿⡇⢸⡏⢻⣿⣿⣿⣿⣷⡄⠀ ⠀⠀⢰⣦⣝⠁⡀⠀⢙⠡⠚⠣⣾⣿⡿⠿⠿⠿⢿⡄ ⠀⠀⠀⠈⠡⡀⠀⠀⠀⠄⠚⣰⣿⣿⣷⡄⠀⠀⠀⠀ ⠀⠀⠀⢀⡔⡈⡲⠂⠰⠶⢟⡉⠿⢿⣿⣧⠀⠀⠀⠀ ⠀⠀⠀⠫⣓⠣⢀⡣⡀⠀⡔⣹⣧⠀⠉⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠑⢄⣀⣀⣶⣶⠟⠛⠿⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⡏⢿⡏⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠉⠻⠏⣺⣷⠔⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣤⡒⢤⣀⡆⠀⠀⠀⢐⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡾⣋⣵⣾⡀⣿⣿⣶⢂⡌⣍⠆⠀⠀⠀⠀⠀⠀⠀ ⠘⠛⠛⠛⠛⠃⠉⠙⢏⣾⣧⢹⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣾⡏⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠈⢲⣄⣴⣶⣗⣁⡀⠀⠀⠀⠀⠀ ⠀⠀⢀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀ ⠀⢴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀ ⠀⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧ ⢸⣿⣿⣿⣿⡟⠀⠹⣿⡏⢿⣿⢿⣿⣿⣿⣿⣿ ⢸⣿⠏⢸⠟⠀⢨⡧⠙⢿⡌⠻⣏⢿⣿⢹⣿⡿ ⠈⣿⠀⢁⡠⢤⣀⠑⠀⠀⠉⣂⠬⢄⡈⠁⣿⠃ ⠀⠘⣠⠋⠀⠀⠈⢣⠤⠤⡜⠁⠀⠀⠹⣄⠃⠀ ⠀⠀⠘⢆⡀⠀⣀⠞⠀⠀⠳⣀⠀⢀⡰⠁⠀⠀ ⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠛⠛⠻⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣀⣠⣤⡾⢿⣿⣿⠿⠟⠉⠉⠀⠀⣠⣴⣶⣖⠒⡤⠀⠠⢾⣿⣭⣭⣾⣛⣻⣿⣿⣿⣿⣯⣍⣛⡿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡴⠛⠉⢁⣀⠀⢤⡀⠹⣇⠀⠢⠂⠀⠤⣾⠹⣿⣷⣟⡴⠃⠀⣀⣼⣭⣟⠛⠯⠭⠼⠿⢿⣿⣿⣿⣿⣿⣯⣽⣻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡟⠁⢀⠎⠁⠀⠀⠈⠉⠆⠻⣿⣶⣀⣀⠀⠈⠓⠶⠶⠋⢁⣰⣾⣿⣭⡷⢖⣚⣿⠂⠌⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠁⠀⠀⠀⠀⠀⠀⠐⠲⠶⢄⠈⢿⣿⣿⣿⣿⣿⣷⡾⠿⠿⢿⣿⣞⠳⠾⣷⣻⢿⣯⠽⠛⠛⠉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣝⢦⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⢀⡠⠖⠛⠛⠛⠲⣄⡀⠑⠈⢿⣿⣿⣿⣿⣿⣿⣋⣩⠭⣒⣛⠭⡗⣶⠽⠛⠋⠉⠀⣀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⢧⡀⠀⠀⠀⠀⠀⠀ ⠸⡀⡠⠊⠉⠐⠲⢤⡂⢀⠀⠙⢦⡀⣀⠙⣿⣿⣿⣿⣿⣷⣶⠁⣲⣮⣝⣺⠷⠆⠀⠀⠀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣵⡀⠀⠀⠀⠀⠀ ⠀⠑⠁⠀⠀⠀⠀⠀⠈⠓⠷⣤⣠⣙⠻⠀⢸⣿⣿⣿⣿⣿⣿⣦⣶⡞⠉⠀⠀⠀⠀⠀⠸⠿⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢤⠤⠝⠲⢿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠁⠀⠀⠀⠀⠀⠴⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠁⠄⠀⠘⢿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⡀⠀⠀⠀⣽⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⠀⠀⠀⠀⢹⣿⣿⣿⣷⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠘⣿⣿⡿⢟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡐⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡍⠀⠀⠀⠀⠀⣀⠤⠤⠤⠀⠒⠒⢤⡤⠴⠞⠛⠻⠿⠛⠛⠛⠛⠛⠛⠋⠙⣿⠏⢻⣻⣿⣿⣿⣿⣿⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡠⣶⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠙⠿⠻⢿⠿⠿⠿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣷⣶⣿⣿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣛⠛⢹⣿⣿⣿⣿⡿⠏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣀⣀⣠⣾⣯⣭⣙⣾⣿⣿⣿⣿⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⡿⠉⠻⢿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⢹⠏⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠉⠻⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠏⢸⣿⣿⣿⣿⣿⠀⠀⣼⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⡟⢀⣾⣿⣿⣿⡏⢹⠀⠀⡟⠀⠸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣧⣾⣿⣿⣿⣿⣧⠘⡆⣸⠃⠀⣤⣹⣿⣿⣿⣇⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣷⣦⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⣧⡉⠁⠀⠀⣿⢿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣷⣤⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⠛⠋⢠⣿⣿⣿⣿⡿⠁⠉⠀⠹⣷⡀⠀⠀⠉⢸⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠹⣷⡀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠙⣷⡀⠀⠘⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠇⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣯⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠔⣊⢫⣉⣉⣐⠢⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠠⢊⣴⣾⣟⡬⣟⣻⡿⠷⠦⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠰⠡⠿⣻⣵⣿⣧⢿⣿⣿⣿⣿⣾⣆⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⣶⡻⣿⣿⢟⣵⣾⣷⣶⣿⣇⣽⡟⠎⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⢿⣟⣕⣾⣿⣿⡏⠿⣿⡿⣹⢋⠔⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢧⢠⢍⡛⢮⣻⣽⣿⣿⣿⡿⡑⠁⠀⠀⡗⢮⣽⣯⣵⣏⢝⣱⡀ ⠀⠀⠀⠀⠀⠀⢘⡆⠄⠀⠁⠪⢻⣿⣿⣿⡟⠀⠀⠀⢠⡗⣰⡿⢿⣿⣿⣿⡤⡸ ⠀⢀⢄⢴⣪⣽⡟⠙⣔⠀⠀⠀⠈⠻⣯⣽⣠⠀⠄⣨⡾⡔⠁⠀⠸⣍⢻⠈⠊⠀ ⢸⣩⣢⣿⣿⣿⠿⠦⢝⡷⣔⣒⢢⣾⣻⣿⠿⠻⣝⡟⣽⠀⠀⠀⠀⠈⠉⠀⠀⠀ ⠧⣐⢿⢛⠟⢱⠀⠀⠀⠙⢾⡻⣿⣧⠿⣿⢿⣻⠿⣼⡇⢀⠠⣤⡤⠀⠀⠀⠀⠀ ⠀⠀⠁⠀⠣⠃⠀⠀⠀⠀⠀⠻⣮⡹⣟⡿⠿⣵⣲⣿⢞⣵⣿⣿⣿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢟⣮⡳⣶⢯⣿⣷⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⢤⣤⣬⣾⣿⣮⣾⣿⣿⣿⣿⣿⣿⣿⠹⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢔⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠋⣿⣿⣿⣟⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠸⣿⡟⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⡿⠟⠋⠀⠑⠛⠀⠀⠀⠀⠙⠗⠁⠀⠀⠀⠀⠀

⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡏⣷⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⢸⠁⡤⢦⡐⣷⣆⢸⠻⠀⢀⡀⢸⡇⣿⠀⣀⣄⢺⡗⢴⡧⣠⣄⢀⣤⡄ ⡀⢸⠀⣸⡤⡤⢸⡇⢸⠀⢸⠀⡇⡼⠁⢸⡏⠛⠉⡏⢹⢸⡇⢸⡇⣿⠼⠀⡇⠁ ⠀⢺⠃⢹⡇⢹⣸⠇⡸⠀⠘⠀⣿⠁⠀⢸⡇⠀⠀⢇⣸⢸⡇⢸⡇⢿⡰⠀⡇⠀ ⠀⢸⠀⢸⡇⠀⠀⠀⠸⢥⣤⣴⠃⠀⠀⢸⠁⠀⠀⠀⠀⠈⠁⠘⠓⠂⠀⠈⠓⠀ ⠀⠀⠀⠚⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣿⣿⣿⣶⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣦⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡟⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⣀⣈⣿⣏⣀⡀⠀⠈⠙⠻⠿⣿⣿⣿⣿⡿⠛⠀ ⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣠⣿⣿⣿⣿⣿⣿⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⣿⠟⠋⠉⣹⣿⡏⠉⠉⠛⢿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⣿⠃⠀⠀⣴⣿⠟⠀⠀⠀⠀⠀⢻⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⢰⣿⣇⣀⣀⡸⠿⣇⣀⣀⣀⣀⣀⣀⣀⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠸⣿⣿⣿⣿⡇⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⢻⣿⣿⣿⣿⡀⠀⠙⢿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠻⣿⣿⣿⣿⣦⣤⣾⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⣀⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠀⠀⠀⠀⠀⠀ ⣼⣿⣿⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣾⣿⠀⠀⠀⠀⠀⠀ ⣿⣿⠛⠛⠛⣿⣿⣿⣿⣿⠛⠛⠛⠛⠛⠛⣿⣿⣶⡆⠀⠀⠀⠀ ⣿⣿⣄⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⠈⠻⢿⣷⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣿⠿⠇⠀⠀⠀⠀ ⠀⠀⠀⠙⣿⣿⠛⠛⠛⣿⣿⠛⠛⠛⢻⣿⠛⠛⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⠀⠀⠀⣿⣿⣀⣀⣀⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⠀⠀⠀⣿⣿⠛⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣤⣤⣤⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠛⠛⣿⣿⣿⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣶⠟⠛⠉⠁⠀⠀⠀⠈⠉⠛⢷⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⡾⠋⢁⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠉⢻⣦⡀⠀⠀⠀ ⠀⢀⣼⠟⠀⠀⠈⠙⠶⡄⠀⠀⠀⠚⢋⣀⣀⣀⣤⣄⠙⣿⡄⠀⠀ ⢀⣾⠋⣠⡶⢶⣶⣿⡟⢻⣦⠀⣾⣟⣻⣿⣿⡯⠿⠟⠀⠘⣿⡄⠀ ⣼⡏⠀⠙⠛⠛⠛⠛⠛⠛⠋⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠘⣿⡀ ⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟ ⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠒⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃ ⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠃⠀ ⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠙⠻⢦⣤⣤⣄⣀⣀⣤⣤⣤⣴⣶⠿⠛⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣤⢤⣤⣤⣤⣤⣤⣤⣤⣤⡤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤ ⣿⢾⡽⢾⡽⢾⡱⢾⡵⢯⡷⣿⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉ ⣿⣻⣼⣻⣝⣻⣝⣫⣟⣻⣝⣿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛ ⣿⣻⢾⣻⢾⣻⣞⣳⣞⣳⣟⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟ ⠿⠽⠮⠽⠮⠽⠮⠵⠯⠽⠯⠽⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶ ⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦ ⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤ ⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉ ⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠶⠛⠋⠁ ⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠾⠛⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣿⣿⣿⣿⡆⠀⠀⠀⢀⣀⣀⣤⣤⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣦⠀⢸⣇⣻⡿⠛⠁⠀⣠⣴⣿⣿⣿⣯⣭⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⣷⣿⣿⣿⣿⣿⡟⠋⠉⠀⠙⠿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⣠⣤⣴⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⣿⣿⣿⣿⣀⣀⣠⣶⣤⡄⠀⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⣿⣿⣿⣿⣿⠟⠁⠀⠀⣠⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⢿⣿⣿⣿⣿⣶⣄⣠⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⣲⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣾⣿⣿⡎⠂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⡿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣧⠆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣐⣶⣤⣥⣤⣭⣭⣿⣶⡤⠀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⠿⢿⠟⡟⣿⠿⢿⣿⡷⠀⠀⢑⣄⠀⠀⠀ ⠀⠀⠀⠀⢀⠀⠀⠀⣿⣼⣇⠀⣊⣸⣶⣫⣙⣄⡗⣤⣷⣿⠈⠈⠢⠆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡿⣿⡟⠛⠛⠻⣿⣿⠟⠛⣿⣿⣿⣿⡄⠀⢀⣈⣦⠀ ⢀⠀⠀⠀⢀⠤⠊⠏⠀⣿⣧⣠⠆⢀⣿⠏⢀⠀⣿⣿⣿⠋⡇⢠⣿⣿⣿⣧ ⢃⢀⠀⢀⠤⠂⠀⠀⠐⣿⡿⠁⡰⢿⣷⣀⣀⠀⣸⣿⣿⠀⢱⠀⠙⣿⣿⣿ ⢻⢿⣧⠈⢢⠀⠀⠀⠀⣿⡇⠀⠀⢸⣿⣿⣇⣀⣸⣿⣿⠀⠘⠀⣸⣿⣿⣿ ⠀⠑⠘⢧⠀⢡⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡄⠀⣿⣿⣿⠃ ⠀⠀⠀⠀⠱⡀⣧⡀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⣰⣿⡿⠁⠀ ⠀⠀⠀⠀⠀⠌⠻⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⢿⣿⡿⠿⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠪⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠺⡯⠅⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢁⡀⠐⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠘⢳⠸⡄⠀⠀⠀⠀

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣤⡀⠀⠀⠍⠭⣔⣄⠀⠀⠀⠀⠀⢈⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⢂⣀⣀⣤⣀⣹⣷⣤⣀⣀⠀⢉⣿⣶⣶⣶⣶⣿⣿⣿⠷⠆⠀⠀⠀⠀⣀⣄⠀ ⠀⠈⠉⠹⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠋⠀⠀⠀⡤⠀⠀⣿⣏⠀ ⠀⠀⠀⠐⠹⢟⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⣽⣿⣿⠿⣆⠀⠀⠀⠀⢸⢀⣿⣿⠀ ⠀⠀⠀⠀⠀⠠⢴⣿⠟⢛⣿⣿⣟⣩⣴⣾⣿⡉⠹⢦⡈⠳⢤⡀⠀⠈⢼⣿⣿⡄ ⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠋⠀⣿⣿⣿⣿⣿⣿⣦⣀⡉⠶⡤⠈⠛⠂⠉⠁⠀⠀ ⠀⠀⢺⣿⣿⣿⡿⠿⠿⣟⣛⣭⣽⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢉⠕⠺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠁⠛⢻⣿⠟⢑⡾⠁⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣴⣶⣶⣶⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣧⣝⠛⠛⠋⢾⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡙⠿⡟⠋⢀⣀⣀⣌⣽⣯⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠁⠐⠉⠈⢻⣷⡻⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣩⣶⣧⡀⠀⠀⢀⣸⣿⠿⢛⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣯⣷⣶⣦⣠⡾⢡⣾⢿⡿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣠⡿⠻⣆⣘⢸⣿⣻⣾⣿⡷⣛⠵⢟⣱⡾⣻⣷⣿⢶⣤⣴⣤⠀⠀⠀ ⠀⠀⣸⠟⣡⣤⣤⣬⣿⣣⣅⣿⡿⣷⣿⣿⣿⣞⠋⣐⣻⠏⣜⠛⢿⣿⣽⣷⣄⠀ ⠀⢀⡇⢐⣿⢁⡴⠽⣷⣾⡿⠻⣷⣹⡛⠿⠿⣭⣜⡛⠃⠀⠹⠤⠀⠘⣿⣿⣿⣷ ⠐⠉⠀⠈⣿⢸⣇⢰⡾⠿⠿⠛⠛⠋⡥⢾⠃⣍⠉⠿⠀⠀⠀⠀⣰⣿⠿⠟⢛⡋ ⠀⠀⠀⠀⣺⢘⡏⢸⠟⠀⢐⣭⢻⠿⣿⠏⠁⠈⠀⠀⠀⠀⠀⠀⠿⠋⠀⢀⣾⠇ ⠀⠀⠀⠈⠁⠀⣹⠹⣆⢠⣿⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠟⠁⠀ ⠀⠀⠀⠀⠀⠘⠁⠀⡾⠸⣿⣟⣿⣷⣶⣶⣤⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⢸⣿⣿⣿⣿⡿⠟⠿⠛⠟⠉⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠉⠺⠷⢦⠶⠷⠊⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⣠⣦⣾⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢴⣾⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⠘⢿⣿⣿⣿⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣤⣤⣝⣿⣿⡌⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⠫⡟⢿⣿⣿⣿⣿⣆⠀ ⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⠀ ⢀⠀⠀⠘⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⡆ ⡆⠀⠀⠀⢨⣷⡄⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠃ ⠈⢢⡀⠀⢸⣿⣿⣄⠀⠀⠀⠀⠀⢀⣿⣿⡏⠀ ⠀⠀⣷⠀⠈⠻⣿⣿⣷⣤⣀⣀⣠⣿⡿⠋⠀⠀ ⠀⠀⢻⣷⣤⣴⣾⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀ ⠀⠀⠀⠙⢿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠘⣿⣿⣷⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣷⣦⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡿⠟⣛⣩⣭⣭⣭⣭⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠞⣡⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⡀⠀ ⠀⠀⠀⠀⠀⠀⡴⢡⣾⣿⡟⣿⡿⣿⢻⣿⣷⣭⣿⣿⣿⣿⣿⣿⣿⡿⠛⣋⣿⠆ ⠀⠀⠀⠀⠀⠘⠁⣿⣿⣿⣇⡙⠷⠙⢘⡿⠟⠋⠉⠉⠉⠉⠉⠉⠉⠉⣹⠟⠁⠀ ⠀⠀⠀⣀⣠⣴⣿⣿⣿⣿⠿⠋⠀⠈⠁⠀⠀⣧⣦⣦⣄⣦⣠⣤⣤⣾⣷⣶⣤⣄ ⠤⠶⠿⠿⠿⠛⠛⠛⠉⣡⡤⠶⠒⠒⠲⠦⣤⣏⡙⠻⠟⠟⠿⣯⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⠋⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠲⠶⠞⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣄⠀⠀⠀⠀⢀⣠⡤⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⠟⠞⠁⣀⣀⣤⣶⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠀⠀⠆⢉⡛⠿⠍⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⢉⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⢸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣴⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡠⠤⠒⢻⠟⡋⠁⣠⣶⣆⠂⢲⣿⠿⢽⣿⣿⣿⣿⢦⡀⠀⠀⠀⠀⠀ ⠃⠐⠀⠈⣁⠳⣦⣤⣑⣛⣫⣴⣯⣷⣓⣢⣾⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀ ⠀⡠⣒⠒⠢⡁⠹⢿⣿⣿⣖⢬⡓⣾⡛⠁⢠⣾⣿⣿⣿⣿⣟⣆⠀⠀⠀ ⠊⠀⠀⠉⠒⠤⢔⣸⣿⣿⣿⣶⣏⠈⠀⠀⢛⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀ ⠀⠀⠀⠀⠀⠈⠂⠈⠻⣿⣿⡿⠀⠀⠀⠀⠉⠩⣽⣿⣿⣿⣿⣿⣿⡆⠀ ⠀⠀⠀⠀⠀⠀⠐⠂⠀⠹⣿⣿⡀⠀⠀⠀⠀⠀⣬⣽⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⡈⠀⠀⠉⠉⠀⠀⠀⠀⣀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⢠⠁⢠⠆⠀⠈⠉⠁⠈⠁⠉⠉⠉⠉⠀⠁⠩⠿⠿⠿⠷ ⠀⠀⠀⠀⠀⠀⠈⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣶⡄⠀⣶⠀⢰⣶⣶⡆⠠⣶⣶⣶⡆⢰⣶⣶⣦⠀⣶⠀⠀⠀⣶⡆⠐⣶⠀⣰⡖ ⣿⣷⡀⣿⠀⣸⣇⣀⡀⠀⠀⣿⠀⠀⢸⣇⣀⡀⠀⣿⠀⠀⠀⣿⡇⠀⠹⣷⡿⠁ ⣿⡿⣷⣿⠀⣿⡟⠛⠁⠀⠀⣿⠀⠀⢸⡏⠉⠁⠀⣿⠀⠀⠀⣿⡇⠀⢠⣿⣇⠀ ⣿⡇⢻⣿⠀⣿⣷⣶⡆⠀⠀⠿⠀⠀⠸⠇⠀⠀⠀⣿⣶⣶⠀⣿⡇⢀⣿⠋⢿⡆ ⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⡇ ⢠⣤⣤⣤⣤⣤⣤⣤⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⡀⢀⣀⣤⣶⣤⣴⣿⣿⣿⣿⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠛⠁⠀⠀⠀⠀ ⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠹⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠉⢿⡿⠿⢿⣿⠟⠛⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣤⣤⣄⡀⠀⠀⠀⠀⢠⣤⣤⡄⠀⠀⠀⠀⢀⣠⣤⣤ ⠿⠿⣿⣿⣆⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⣰⣿⣿⠿⠿ ⠀⠀⢸⣿⣿⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⣿⣿⡇⠀⠀ ⠀⠀⢸⣿⣿⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⣿⣿⡇⠀⠀ ⠀⠀⢸⣿⣿⡀⠀⠀⢸⣿⣿⡇⠀⠀⢀⣿⣿⡇⠀⠀ ⠀⠀⠈⢻⣿⣷⣦⣤⣼⣿⣿⣧⣤⣴⣾⣿⡟⠁⠀⠀ ⠀⠀⠀⠀⠉⠛⠿⠿⢿⣿⣿⡿⠿⠿⠛⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣶⣶⣾⣿⣿⣷⣶⣶⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⠛⠛⠀⠀⠀⠀⠀⠀

⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬛⬛⬛⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬛⬛⬜⬜⬛⬛⬛⬜⬜⬜ ⬜⬜⬛⬛⬛⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜⬛⬛⬛⬜⬜ ⬜⬜⬛⬛⬜⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬛⬛⬜⬜ ⬜⬛⬛⬛⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬛⬛⬛⬛⬛⬛⬜⬛⬛⬛⬜ ⬜⬛⬛⬜⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬜⬛⬛⬜ ⬜⬛⬛⬜⬛⬛⬛⬛⬛⬜⬜⬜⬛⬛⬛⬜⬜⬜⬛⬛⬛⬛⬛⬜⬛⬛⬜ ⬛⬛⬜⬜⬛⬛⬛⬛⬛⬜⬛⬛🟥🟥🟥⬛⬛⬜⬛⬛⬛⬛⬛⬜⬜⬛⬛ ⬛⬛⬜⬛⬛⬛⬛⬛⬜⬜⬛🟥🟥🟥🟥🟥⬛⬜⬜⬛⬛⬛⬛⬛⬜⬛⬛ ⬛⬛⬜⬛⬛⬛⬛⬛⬜⬛🟥🟥⬛⬛⬛🟥🟥⬛⬜⬛⬛⬛⬛⬛⬜⬛⬛ ⬛⬛⬜⬛⬛⬛⬛⬛⬜⬛🟥🟥⬛⬛⬛🟥🟥⬛⬜⬛⬛⬛⬛⬛⬜⬛⬛ ⬛⬛⬜⬛⬛⬛⬛⬛⬜⬛🟥🟥⬛⬛⬛🟥🟥⬛⬜⬛⬛⬛⬛⬛⬜⬛⬛ ⬛⬛⬜⬛⬛⬛⬛⬛⬜⬜⬛🟥🟥🟥🟥🟥⬛⬜⬜⬛⬛⬛⬛⬛⬜⬛⬛ ⬛⬛⬜⬜⬛⬛⬛⬛⬛⬜⬛⬛🟥🟥🟥⬛⬛⬜⬛⬛⬛⬛⬛⬜⬜⬛⬛ ⬜⬛⬛⬜⬛⬛⬛⬛⬛⬜⬜⬜⬛⬛⬛⬜⬜⬜⬛⬛⬛⬛⬛⬜⬛⬛⬜ ⬜⬛⬛⬜⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬜⬛⬛⬜ ⬜⬜⬛⬛⬜⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬜⬛⬛⬜⬜ ⬜⬜⬛⬛⬜⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬛⬛⬜⬜ ⬜⬜⬜⬛⬛⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜⬛⬛⬜⬜⬜ ⬜⬜⬜⬛⬛⬛⬜⬜⬛⬛⬛⬛⬜⬜⬜⬛⬛⬛⬛⬜⬜⬛⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜

⠀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⣿⣿⣿ ⣿⣿⣿⠀⢸⣿⡿⠿⣿⣿⡿⠋⠙⢿⣿⣿⠿⢿⣿⡇⠀⣿⣿⣿ ⣿⣿⣿⠀⢸⣏⣹⣾⣿⣿⣷⡄⢠⣾⣿⣿⣷⣏⣹⡇⠀⣿⣿⣿ ⣿⣿⣿⠀⢸⣿⣿⣿⡿⠛⠁⠀⠀⠈⠛⢿⣿⣿⣿⡇⠀⣿⣿⣿ ⣿⣿⣿⠀⢸⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⡇⠀⣿⣿⣿ ⣿⣿⣿⠀⢸⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⡇⠀⣿⣿⣿ ⣿⣿⣿⠀⢸⡿⢿⣿⣿⣿⣦⡄⢠⣴⣿⣿⣿⡿⢿⡇⠀⣿⣿⣿ ⣿⣿⣿⠀⢸⣷⣞⢙⣿⣿⡏⠀⠀⢹⣿⣿⡋⣳⣾⡇⠀⣿⣿⣿ ⣿⣿⣿⠀⠸⠿⠿⠿⠿⠿⠿⠦⠴⠿⠿⠿⠿⠿⠿⠇⠀⣿⣿⣿ ⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢿⣅⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣶ ⠈⠉⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛

⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜ ⬛⬜⬜⬛⬜⬜⬜⬜⬜⬛⬜⬜⬛⬜ ⬛⬜⬜⬛⬜⬜⬜⬜⬜⬛⬜⬜⬛⬜ ⬛⬜⬜⬛⬜⬜⬜⬜⬜⬛⬜⬜⬛⬜ ⬛⬜⬜⬛⬜⬜⬜⬜⬜⬛⬜⬜⬛⬜ ⬛⬜⬜⬛⬜⬜⬜⬜⬜⬛⬜⬜⬛⬜ ⬛⬜⬜⬛⬛⬛⬜⬛⬛⬛⬜⬜⬛⬜ ⬛⬜⬜⬛⬜⬜⬛⬜⬜⬛⬜⬜⬛⬜ ⬛⬜⬜⬛⬜⬜⬛⬜⬜⬛⬜⬜⬛⬜ ⬛⬜⬜⬛⬜⬜⬛⬜⬜⬛⬜⬜⬛⬜ ⬛⬜⬜⬛⬜⬜⬛⬛⬛⬛⬛⬛⬛⬜ ⬛⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬛ ⬛⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬛ ⬛⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬛ ⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛ ⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜ ⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜ ⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜ ⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠤⠒⠂⠈⠁⣠⡏⠤⡀⠀⠀⠀⠀ ⠀⠀⡠⠊⠀⠀⠀⠀⠀⣰⣿⣀⡄⠀⠑⢄⠀⠀ ⠀⡰⠁⠀⠀⠀⠀⠀⣼⣿⣿⡿⠀⠀⠀⠈⢆⠀ ⢀⠃⠀⠀⠀⠀⠀⠚⢻⣿⣿⠁⠀⠀⠀⠀⠈⡄ ⢸⠀⠀⠀⠀⠀⠀⢠⣿⣿⣧⡤⠀⠀⠀⠀⠀⡇ ⠈⡄⠀⠀⠀⠀⢠⣿⣿⣿⠟⠀⠀⠀⠀⠀⢠⠁ ⠀⠐⡀⠀⠀⠀⠟⣿⣿⠋⠀⠀⠀⠀⠀⢀⠂⠀ ⠀⠀⠈⠢⡀⠀⢰⡿⠃⠀⠀⠀⠀⢀⠔⠁⠀⠀ ⠀⠀⠀⠀⠈⢁⡟⠥⠤⠤⠤⠐⠊⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⢀⠠⠀⠒⠀⠀⠒⠂⠤⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠄⠀⠀⠀ ⠀⠀⠠⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀ ⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀ ⠀⡂⠀⠀⠀⠀⠂⢆⠀⢀⠀⠀⢀⠀⢠⠀⠀⡀⠀⡇⠀ ⠈⠀⠀⢀⢧⠸⢀⣸⡀⣿⣀⣷⣸⢄⢢⣴⣿⣷⣿⡇⠀ ⠀⢃⣴⣼⡟⠝⠈⠃⠉⠀⠉⠸⢯⣿⣿⣿⣿⣿⣿⠃⠀ ⠀⠀⠋⠛⡤⣰⣾⠿⣿⡖⢰⢺⣿⣬⠻⠋⣮⡁⠃⠀⠀ ⠀⠀⠀⠘⠫⢿⠛⠍⣸⣻⣾⡟⢁⣈⣹⣤⣿⣿⣿⣿⠁ ⠀⠀⠀⠀⠀⠀⠴⡞⣿⣽⣿⣿⣿⣿⣿⣿⣿⠿⣿⡇⠀ ⠀⠀⠀⠀⠀⠀⣰⣿⠿⢿⣿⣿⣿⣶⣿⣛⣩⡶⢿⠃⠀ ⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⡿⠿⡻⠛⡉⠁⠀⣀⡅⠃⠀ ⠀⠀⠀⠀⠀⠀⠘⠩⠕⠒⠉⠀⠐⠚⠊⠉⠁⠀⠀⠀⠀

⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🏽🏽🏾🏽🏽🏽🏽🏾⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🏽⬛🏽🏽🏽🏽🏾🏽⬛🏽⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🏽🏾⬛⬛⬛⬛⬛⬛🏽🏽⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🏽🏽🏽🏾🏽🏽🏽🏾⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🏾🏽🏽🏽🏽🏾🏽🏽⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜ ⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛⬛🟫⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬛⬛⬛⬛⬜⬜⬛🟫⬛⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜ ⬜⬛⬜⬜⬜⬜⬜⬜⬜⬛🟫⬛⬜⬜⬜⬜⬜⬜⬜⬛⬜ ⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟫⬛⬜⬜⬜⬜⬜⬜⬜⬛ ⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟫⬛⬜⬜⬜⬜⬜⬜⬜⬛ ⬛⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛🟫⬛⬛⬜⬜⬜⬜⬜⬜⬛ ⬛⬜⬜⬜⬜⬜⬛⬛🌫️🌫️⬛🟫⬛🌫️⬛⬛⬜⬜⬜⬜⬛ ⬛⬜⬜⬜⬛⬛🌫️🌫️🌫️🌫️⬛🟫⬛🌫️🌫️🌫️⬛⬜⬜⬜⬛ ⬛⬜⬜⬛🌫️🌫️🌫️🌫️🌫️🌫️⬛⬛⬛🌫️🌫️🌫️🌫️⬛⬜⬜⬛ ⬛⬜⬜⬛🌫️⬛⬛🌫️⬛⬛🌫️🌫️🌫️🌫️🌫️🌫️🌫️⬛⬜⬜⬛ ⬛⬜⬜⬛🌫️🌫️🌫️⬛🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️⬛⬜⬜⬛ ⬛⬜⬜⬛🌫️⬛⬛⬛⬛⬛🌫️🌫️🌫️🌫️🌫️🌫️🌫️⬛⬜⬜⬛ ⬛⬜⬜⬛🌫️🌫️🌫️🌫️🌫️🌫️🌫️⬛⬛⬛🌫️⬛🌫️⬛⬜⬜⬛ ⬜⬛⬜⬛🌫️🌫️⬛⬛⬛⬛🌫️🌫️🌫️🌫️🌫️🌫️🌫️⬛⬜⬛⬜ ⬜⬛⬜⬛🌫️🌫️⬛🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️⬛⬜⬛⬜ ⬜⬛🟦⬛🌫️⬛⬛⬛⬛⬛🌫️⬛🌫️🌫️🌫️⬛🌫️⬛🟦⬛⬜ ⬜⬛🟦⬛🌫️🌫️🌫️🌫️🌫️🌫️🌫️⬛🌫️⬛🌫️⬛🌫️⬛🟦⬛⬜ ⬜⬛🟦⬛🌫️⬛⬛⬛⬛⬛🌫️⬛🌫️⬛🌫️⬛🌫️⬛🟦⬛⬜ ⬜⬛🟦⬛🌫️🌫️🌫️🌫️🌫️🌫️🌫️⬛⬛⬛⬛⬛🌫️⬛🟦⬛⬜ ⬜⬛🟦⬛🌫️⬛⬛🌫️⬛⬛🌫️🌫️🌫️🌫️🌫️🌫️🌫️⬛🟦⬛⬜ ⬜⬛🟦⬛🌫️⬛🌫️⬛🌫️🌫️🌫️⬛⬛⬛⬛⬛🌫️⬛🟦⬛⬜ ⬜⬛🟦⬛🌫️⬛⬛⬛⬛⬛🌫️⬛🌫️🌫️🌫️🌫️🌫️⬛🟦⬛⬜ ⬜⬛🟦⬛🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️⬛⬛⬛🌫️🌫️⬛🟦⬛⬜ ⬜⬛🟦⬛🌫️🌫️⬛⬛⬛🌫️🌫️⬛🌫️🌫️🌫️🌫️🌫️⬛🟦⬛⬜ ⬜⬛🟦⬛🌫️⬛🌫️🌫️🌫️⬛🌫️⬛⬛⬛⬛⬛🌫️⬛🟦⬛⬜ ⬜⬛🟦⬛🌫️⬛⬛⬛⬛⬛🌫️🌫️🌫️🌫️🌫️🌫️🌫️⬛🟦⬛⬜ ⬜⬛🟦⬛🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️⬛🟦⬛⬜ ⬜⬛🟦🟦⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🟦🟦⬛⬜ ⬜⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛⬜ ⬜⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛⬜ ⬜⬜⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛⬜⬜ ⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣴⣷⣶⣦⣄⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⢀⣤⣄⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢺⣿⣿⡧⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣸⣿⣿⣿⡿⠋⢻⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀ ⠀⠀⠀⠀⢠⣶⣿⣿⣿⣿⣿⣷⡄⠸⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀ ⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⣿⣿⣿⣿⣿⣿⣿⣧⣀⠀⠀ ⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣷⣄ ⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠹⣿⣿⣿⣀⣙⠻⣿⣿ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠙⠻⠿⣿⣿⠃⠸⠏ ⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⣿⣿⠀⠀⠀ ⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⢠⣶⣶⣿⡟⠀⠀⠀ ⠀⠈⠉⠙⠛⠿⠿⠿⠿⠿⠿⠛⠋⠉⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣶⣶⣾⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀ ⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣼⣿⣿⣿⠃⠙⠿⣿⣿⣿⣿⣿⣿⣿⣇⣀ ⠀⣿⣿⣿⣿⣿⣿⡿⠃⠈⣁⠀⠻⠿⠋⠁⠀⣀⠀⠈⢻⣿⣿⣿⣿⣿⣿⡿ ⠀⢻⣿⣿⣿⣿⣿⡀⠀⠐⠿⠃⠀⠀⠀⠀⠘⠿⠂⠀⢠⣿⣿⣿⣿⣿⠛⠁ ⠀⠈⢿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⠀⠀ ⠀⣀⣼⣿⣿⣿⣿⣿⡇⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡁⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠈⠉⠉⠁⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣦⠀ ⠀⠉⠛⠛⠛⣿⣿⣿⣿⣿⢿⣿⣦⣀⣀⣴⣿⡿⢿⣿⣿⣿⡿⢿⣿⠿⠋⠀ ⠀⠀⠀⠀⠀⠈⠛⣿⣿⡟⠀⠈⠛⠿⠿⠛⠁⠀⢸⣿⣿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀

⢀⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣤⡀ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠀⠈⠻⣿⠋⠀⢸⣿⣿⡟⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠀⠀⣄⠀⣠⠀⢸⣿⡿⠀⣠⠀⠸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⠀⢸⡿⠁⠀⠉⠁⠀⢹⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣤⣴⣿⣿⣿⣤⣼⣷⣤⣾⣿⣿⣦⣴⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏ ⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⠄⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣯⡉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁ ⠉⠻⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠻⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣉⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣾⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣴⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣴⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣟⣁⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇

⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀ ⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⠉⢹⣿⣏⠉⣹⣿⣿⣿⣧⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⠿⠿⠿⢿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⠀⣸⣿⣿⣿⣿⣿⣦⣤⣤⣾⣿⣿⣿⣿⣿⡀⠀⠀ ⠀⢠⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣧⠀⠀ ⠠⠿⣿⣿⠿⠿⠿⠟⠋⣀⡈⠛⠿⠿⠿⢿⣿⠿⠇⠀ ⣤⣤⣤⣤⣤⣤⣴⣶⣿⣿⣿⣶⣶⣤⣤⣤⣤⣤⣤⡀ ⣿⣿⣿⣿⣿⣿⣿⠿⠏⠀⠈⠿⢿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣿⣿⣿⣿⡁⠀⣰⣿⣦⠀⠀⣿⣿⣿⣿⣿⣿⠃ ⢸⣿⣿⣿⣿⣿⣷⠀⠘⠻⠛⠀⢸⣿⣿⣿⣿⣿⡟⠀ ⠀⢻⣿⣿⣿⣿⣿⣦⣤⣶⣤⣴⣿⣿⣿⣿⣿⣿⠃⠀ ⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀ ⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀

⠀⢀⠶⣟⡉⠉⠉⠉⠉⠉⠙⠛⠛⠒⠒⠲⢤⣀⠀⠀⠀⠀ ⠀⢸⠀⠀⠉⠑⢶⠒⠒⠒⠒⠒⠒⠒⠒⠀⠤⠬⠽⢶⡀⠀ ⠀⡼⠠⢀⢈⠀⡞⠰⠈⠉⠉⠉⠉⠉⠀⠀⠒⠒⢠⠀⡇⠀ ⠀⡇⠀⠀⠌⢀⡇⡆⠀⠀⠲⠂⠀⠀⠀⢴⠄⠀⠀⠀⡇⠀ ⢠⡇⡤⣄⠀⢸⠁⠇⠀⠀⠀⠀⠙⠛⠁⠀⠀⠀⢸⢸⠃⠀ ⢸⡇⣘⠻⠁⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢸⠀⠀ ⢸⠁⣩⡿⠀⡆⢀⡢⠤⠄⠀⠀⠀⣀⣀⣀⣀⡀⠃⡏⠀⠀ ⣼⠀⣉⡛⠀⣷⠁⠵⠦⠤⠤⣤⣤⠀⠀⠀⡄⠀⠀⡇⠀⠀ ⣿⢸⡛⣿⣠⢃⠜⢠⢄⠀⠀⠀⠀⣀⠀⠀⠀⠀⢸⡙⠢⣄ ⡿⠀⠑⠦⢤⠊⠀⠡⠀⠃⠀⠀⠀⢃⡁⠎⠁⠀⣾⡿⢀⡜ ⠙⢦⣀⠀⢸⠀⠀⣀⠀⢀⣀⠀⠀⣏⢀⠆⠀⢀⡿⣥⡏⠀ ⠀⠀⠈⠙⠚⠶⢤⡤⣤⣤⣄⣀⣀⣀⣀⣀⣀⡸⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⠜⢈⡇⠀⢀⠃⡞⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣆⡞⠁⠀⠀⡜⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠰⣇⣛⡲⠀⠀⠀⠀⠀⠀⠀⠀

⠀⢠⣶⣿⣿⣿⣶⣶⣶⠀⠀⠀⠀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣶⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⢠⡄⡀⠀⠀ ⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣤⣤⣤⣤⣬⣤⣧⣴⣄ ⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠉⠉⠉⠉⠉⠩⣭⠉⠁ ⠘⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠻⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠻⢿⣿⣿⠿⠟⠛⠀⠀⠀⠀⠁⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢠⣶⣶⣶⣶⣶⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⣿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀ ⠀⢀⣴⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀ ⢰⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣶⣶⣶⣶⣶⡄ ⢸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇ ⠘⠿⠿⠿⠿⠿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠇ ⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀ ⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠿⠿⠿⠿⠿⠃⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⡟⢻⣿⠛⣿⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⡟⠛⣿⠛⣿⣿⡇ ⠈⠹⢿⣿⣿⣿⠿⢏⡱⢎⣉⣶⠿⠀⠀⠸⢿⣿⣿⣿⣿⡿⢏⡱⠶⣉⣶⠿⠏⠁ ⠀⠀⠈⢹⣿⣿⣶⣾⣷⣾⣿⠉⠀⠀⠀⠀⠈⠉⣿⣿⣿⣷⣾⣷⣶⣿⠉⠀⠀⠀

⠀⠀⣴⣿⣿⣿⣿⡆⢸⣿⣿⣿⣿⣿⡿⢠⣾⣿⣿⣿⣷⠀⢠⣿⣿⣿⣿⣷⡄⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⢀⣿⣿⣿⣿⣿⡆⠀⣴⣿⣿⣿⣿⠀⣾⣿⠁⢀⣾⣿⠃ ⠀⢀⣿⡿⠁⠸⠛⠁⠀⠀⣹⣿⡇⠀⠁⣼⣿⠏⠀⣿⣿⠀⢸⣿⡏⠀⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⡏⠀⠀⢸⣿⡏⠀⣿⣿⠃⢰⣿⡏⠀⠀⠀⢀⣿⣿⢠⣿⡿⠁⠀ ⠀⢸⣿⣇⣠⣴⣾⠁⠀⠀⣿⣿⠀⠀⠀⣿⣿⠀⢸⣿⡇⠀⣿⣿⠁⢠⣿⡿⠀⠀⠀⠀⠀⠀⣼⣿⠇⠀⠀⣼⣿⠃⢀⣿⣿⠀⣼⣿⣇⣠⣴⡆⢸⣿⣧⣿⡟⠁⠀⠀ ⠀⣾⣿⣿⢿⣿⡿⠀⠀⢰⣿⡟⠀⠀⢸⣿⣿⣾⣿⣿⠇⢠⣿⣿⣾⣿⠿⠃⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⢀⣿⣿⣾⣿⠿⠃⠀⣿⣿⣿⠿⠛⠀⣾⣿⣿⣿⡇⠀⠀⠀ ⠀⠛⠉⠀⢸⣿⡇⠀⠀⢸⣿⡇⠀⠀⣼⣿⠏⠁⣿⣿⠀⢸⣿⡟⣿⣿⠀⠀⠀⠀⠀⠀⠀⢰⣿⡏⠀⠀⢸⣿⡟⣿⣿⡀⠀⢰⣿⡏⠀⠀⠀⢀⣿⣿⠋⣿⣿⠀⠀⠀ ⢰⣾⣇⡀⣾⣿⠃⠀⠀⣿⣿⠀⠀⠀⣿⣿⠀⢸⣿⡟⠀⣾⣿⠁⢸⣿⡇⠀⠀⠀⠀⠀⠀⣸⣿⠇⠀⠀⣼⣿⠃⢸⣿⣇⠀⣸⣿⣇⣀⣀⠀⢸⣿⡇⠀⢹⣿⡇⠀⠀ ⠸⣿⣿⣿⣿⠟⠀⠀⢰⣿⡿⠀⠀⢰⣿⡏⠀⣸⣿⠇⢠⣿⡿⠀⠈⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⣿⣿⠀⠀⣿⣿⠀⣿⣿⣿⣿⣿⠀⣼⣿⠃⠀⠘⣿⣷⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣔⢄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠛⢉⣵⣿⠿⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⣻⣿⣆⠀⠀⠀⣀⡠⠂⠀⠀⠠⣤⣴⠟⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⢘⣭⣾⣿⣿⡟⠲⢤⣀⣀⣼⡏⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⠃⠀⠀⠈⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠲⣍⢩⣤⣤⣀⣀⣾⠇⢠⠐⢤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠉⠀⠀⢈⣷⣮⣝⡛⠟⠉⠀⠈⢃⢈⣯⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⣠⣴⠟⠋⠁⠀⠙⣦⣄⣀⣠⣼⣧⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⠏⠀⣤⣾⠏⠀⠀⠀⠀⠀⠀⠻⠛⠿⢶⡆⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⣣⣴⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣰⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⠦⡻⡿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣦⠀⠀⠀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⣠⣾⠋⢻⣷⠾⠻⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⢿⡇⠀⢸⡟⠀⢀⣿⣀⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⠀⢸⡇⢠⡿⢁⣴⡿⠋⢹⣷ ⠀⠀⠀⠀⠀⣠⡶⠿⢶⣾⣿⣿⣷⣤⡈⠙⢿⡇⢸⣷⣾⣷⡿⠻⣷⣤⣾⠟ ⠀⠀⠀⢀⣴⣿⣿⣶⣤⣀⠙⠻⢿⣿⣿⣷⣄⢀⣸⣿⣿⡟⠀⠀⠈⢻⣷⡀ ⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡉⠛⢿⣿⡿⠋⠉⠉⠻⣷⣠⣶⠿⠋⠀ ⠀⠀⣽⡿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣶⣴⣿⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⠀ ⠀⣀⣿⡧⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⢀⣠⣿⠁⠀⠀⠀⠀ ⢸⣟⡁⠀⠀⠀⠀⣼⣿⣿⠟⠉⢻⣿⣿⣿⣿⣿⣿⠛⣿⡏⠙⣷⣄⠀⠀⠀ ⠀⣿⠃⠀⠀⠀⠈⠙⠿⠃⢀⣴⣿⣿⣿⣿⣿⣿⣿⠀⢸⡇⠀⠈⠻⣦⡀⠀ ⠀⣿⠆⠀⠀⠀⠀⢀⣴⣶⠿⠉⢿⣿⣿⣿⣿⣿⣿⣿⢻⣇⣀⣠⣤⡿⠃⠀ ⠀⠿⠶⠶⠶⠶⠿⠛⠋⠀⠀⠀⠈⠙⠛⠻⠿⠿⠿⠏⠈⠛⠛⠉⠀⠀⠀⠀

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

⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⠟⠛⠉⠉⠉⠉⠛⠻⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣷⡀⠀⠀⠀⠀ ⠀⠀⠀⣰⣿⣿⣿⣤⣤⣄⠀⠀⣠⣤⣤⣿⣿⣿⣷⡀⠀⠀⠀ ⠀⢀⣼⣿⣿⣿⠋⢠⣤⠙⠁⠈⠋⣤⡄⠙⣿⣿⣿⣿⣄⠀⠀ ⢠⣿⣿⣿⣿⡿⠀⠈⠉⠀⠀⠀⠀⠉⠁⠀⢿⣿⣿⣿⣿⣷⠀ ⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⡀⢀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⡆ ⠹⣿⣿⣿⣿⣿⠀⠀⠴⠞⠁⠈⠳⠦⠀⠀⣿⣿⣿⣿⣿⡿⠁ ⠀⠉⢻⡿⢿⣿⣧⠀⠀⠀⢶⡶⠀⠀⠀⣼⣿⣿⣿⡟⠋⠁⠀ ⠀⠀⣼⡇⠀⠀⠙⣷⣄⠀⠈⠁⠀⣠⣾⠋⠀⠀⢸⣧⠀⠀⠀ ⠀⠀⣿⡇⠀⠀⠀⠈⠛⠷⣶⣶⠾⠛⠁⠀⠀⠀⢸⣿⠀⠀⠀ ⠀⠀⢻⡇⠀⠀⠀⣀⣀⣤⣤⣤⣤⣀⣀⠀⠀⠀⢸⡟⠀⠀⠀ ⠀⠀⠘⣿⣴⠾⠛⠋⠉⠉⠉⠉⠉⠉⠛⠛⠷⣦⣿⠃⠀⠀⠀ ⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀

⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀ ⠀⣀⣴⣿⡿⠿⣿⣿⠿⠿⠿⠿⣿⣿⠿⠿⠿⠿⣿⣿⠿⢿⣿⣦⣀⠀ ⣰⣿⠟⠁⠀⠀⣿⣿⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⣿⣿⠀⠀⠈⠻⣿⣆ ⣿⣿⣶⣶⣶⣶⣿⣿⣶⣶⣶⣶⣿⣿⣶⣶⣶⣶⣿⣿⣶⣶⣶⣶⣿⣿ ⣿⣿⠉⠉⠉⠉⣿⣿⠉⠉⠉⠉⣿⣿⠉⠉⠉⠉⣿⣿⠉⠉⠉⠉⣿⣿ ⣿⣿⠀⠀⠀⠀⣿⣿⣀⣀⣀⣀⣿⣿⣀⣀⣀⣀⣿⣿⣀⣀⣀⣀⣿⣿ ⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠀⠀⣠⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢿⣿⣄⣾⣿⠛⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠛⣿⣿⣿⣿⡿ ⠈⠙⠛⢿⣿⣄⣀⣠⣿⡿⠛⠛⠛⠛⠛⠛⢿⣿⣄⣀⣠⣿⡿⠛⠋⠁ ⠀⠀⠀⠈⠛⠿⠿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠿⠛⠁⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⡿⠿⢿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣴⣿⠿⠋⠉⠉⠛⠛⠿⢿⣷⣦⣄⠈⠙⢿⣿⣦⣄⠀⠀⠀⠀ ⠀⠀⢀⣴⣿⢟⣁⣴⣶⣶⣾⣿⣶⣶⣶⣭⣛⣿⣷⡄⠀⢻⣿⣿⣦⡀⠀⠀ ⠀⢀⣾⣿⣷⣿⠿⠛⣩⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠘⣿⣿⢿⣷⡀⠀ ⠀⣾⣿⣿⠟⠁⣠⣾⣿⣿⣿⣿⣿⡟⢻⣿⣿⣿⣿⣿⣿⡄⣿⣿⠈⣿⣧⠀ ⢰⣿⡿⠁⠀⣼⣿⣿⣿⣿⣿⣿⣿⠁⠁⢻⣿⣿⣿⣿⣿⡇⣿⣿⠀⢹⣿⡆ ⢸⣿⡇⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⢸⣿⡇ ⠸⣿⣇⠀⣿⣿⢸⣿⣿⣿⣿⣿⣿⠃⡆⣿⣿⣿⣿⣿⣿⣿⡟⠀⢀⣾⣿⠇ ⠀⢿⣿⡀⣿⣿⠘⣿⣿⣿⣿⣿⣿⢠⡇⢿⣿⣿⣿⣿⡿⠋⢀⣴⣿⣿⡿⠀ ⠀⠈⢿⣷⣿⣿⡀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣋⣠⣶⣿⢿⣿⡿⠁⠀ ⠀⠀⠈⠻⣿⣿⣇⠀⠘⢿⣷⣭⣛⠿⠿⠿⣿⣿⠿⠿⠟⢋⣵⣿⠟⠁⠀⠀ ⠀⠀⠀⠀⠙⠻⣿⣷⣄⡀⠙⠻⢿⣷⣶⣤⣤⣀⣀⣠⣶⣿⠟⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⣿⣷⣶⣾⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬛⬛🟦🟦🟦🟦🟦🟦⬛⬛⬜⬜⬜ ⬜⬜⬛🟦🟦🟦🟦⬛⬛🟦🟦🟦🟦⬛⬜⬜ ⬜⬛🟦🟦🟦🟦⬛🟦🟦⬛🟦🟦🟦🟦⬛⬜ ⬜⬛🟦⬛⬛⬛🟦🟦🟦🟦⬛⬛⬛🟦⬛⬜ ⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛ ⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛ ⬛🟦🟦⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🟦🟦⬛ ⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛ ⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛ ⬛🟦🟦🟦⬛⬛⬛⬛⬛⬛⬛⬛🟦🟦🟦⬛ ⬜⬛⬛⬛🏻🏻⬛🏻🏻⬛🏻🏻⬛⬛⬛⬜ ⬜⬜⬛🏻🏻🏻⬛🏻🏻⬛🏻🏻🏻⬛⬜⬜ ⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜ ⬜⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜

⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣤⣤⣶⣶⣿⣿⠉⠉⣉⣉⣉⣉⣉⣉⡉⠉⣿⣿⣶⣶⣤⣤⣄⠀ ⠀⠀⢸⣿⡏⠉⢉⣉⣉⣁⣀⣾⣿⣿⣿⣿⣿⣿⣷⣀⣈⣉⣉⡉⠉⢹⣿⡇ ⠀⠀⢸⣿⡇⢰⣿⣿⣿⣿⣿⣿⠟⠋⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⢸⣿⡇ ⠀⠀⢸⣿⡇⢸⣿⣿⣿⣿⠟⠁⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⡇ ⠀⠀⢸⣿⡇⢸⣿⣿⠟⠁⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⡇ ⠀⠀⠘⣿⣇⠈⠟⠁⣠⣾⣿⣿⣿⣿⣿⡿⠟⠛⣿⣿⣿⣿⣿⣿⠁⣸⣿⠃ ⠀⠀⠀⠛⠛⠀⣠⣾⣿⣿⣿⣿⣿⡿⠋⢠⣴⣶⣿⣿⣿⣿⣿⠇⢠⣿⡟⠀ ⠀⠀⣠⣾⣿⣿⣿⠛⢿⣿⣿⡿⠋⢠⣼⣿⣿⣿⣿⣿⣿⡿⠃⣠⣿⡿⠀⠀ ⠠⣾⣿⣿⣿⣿⣿⣧⡀⠙⠋⣀⣾⣿⣿⣿⣿⣿⣿⠿⠋⢀⣼⣿⠟⠀⠀⠀ ⢠⣾⡿⣿⡿⠋⠈⢉⣉⣀⣶⣿⠟⠿⣿⣿⠿⠛⢁⣠⣾⣿⠟⠁⠀⠀⠀⠀ ⠀⠉⠀⠈⠀⣠⣾⣿⣿⣿⡿⣿⣶⣤⣀⣀⣤⣶⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⠇⠀⠙⠛⠿⠿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠰⣿⠟⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬛⬛🟩🟩🟩🟩🟩🟩⬛⬛⬜⬜⬜ ⬜⬜⬛🟩🟩🟩🟩⬛⬛⬛🟩🟩🟩⬛⬜⬜ ⬜⬛🟩🟩🟩🟩⬛🟩🟩🟩⬛🟩🟩🟩⬛⬜ ⬜⬛🟩🟩🟩🟩⬛🟩🟩🟩⬛🟩🟩🟩⬛⬜ ⬛🟩🟩🟩🟩🟩⬛🟩🟩🟩⬛🟩🟩🟩🟩⬛ ⬛🟩🟩🟩🟩⬛⬛⬛🟩🟩⬛🟩⬛🟩🟩⬛ ⬛🟩🟩🟩🟩⬛🟩⬛🟩🟩⬛⬛🟩🟩🟩⬛ ⬛🟩🟩🟩🟩⬛⬛⬛🟩🟩🟩🟩🟩🟩🟩⬛ ⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛ ⬛🟩🟩🟩⬛⬛⬛⬛⬛⬛⬛⬛🟩🟩🟩⬛ ⬜⬛⬛⬛🏻🏻⬛🏻🏻⬛🏻🏻⬛⬛⬛⬜ ⬜⬜⬛🏻🏻🏻⬛🏻🏻⬛🏻🏻🏻⬛⬜⬜ ⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜ ⬜⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜

⢠⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⡄ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣦⣀⠙⠛⢿⡿⠛⠋⣀⣼⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣯⣀⣠⣀⠀⠀⣀⣤⣴⣶⢾⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣾⠏⠉⠀⠀⠀⠻⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣶⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⢀⣀⡀⠀⢀⣀⢸⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠘⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠃

⣶⣶⣶⣦⠀⠀⠀⣰⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣆⠀⠀⠀⣴⣶⣶⣶ ⠛⠻⣿⣿⡀⠀⢠⣿⣿⠏⠀⠀⢀⠀⢤⣴⣆⠀⠀⠀⠹⣿⣿⡄⠀⢀⣿⣿⠟⠛ ⠀⠀⢿⣿⣧⠀⢸⣿⡟⠀⠸⣿⡿⠄⠘⠋⠉⣠⣤⣄⠀⢻⣿⡇⠀⣼⣿⡿⠀⠀ ⠀⠀⠸⣿⣿⡀⢸⣿⣇⠀⠀⠁⠀⠀⠀⠀⣠⣿⣿⠇⠀⣸⣿⡇⢀⣿⣿⠇⠀⠀ ⠀⠀⠀⣿⣿⣇⣸⣿⣿⡀⠀⠀⠀⢀⣤⣾⣿⡿⠋⠀⢀⣿⣿⣇⣸⣿⣿⠀⠀⠀ ⠀⠀⠀⠸⣿⣿⣿⣿⣿⣷⡀⠀⠀⠘⡿⠟⠋⠀⠀⢀⣾⣿⣿⣿⣿⣿⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠻⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⠟⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⢀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀ ⠀⣴⣿⣿⣿⣿⡟⠉⠉⢻⣿⣿⡿⠋⠉⠹⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀ ⢠⣿⣿⣿⣿⣿⣧⣀⣀⣼⣿⣿⣷⣄⣀⣴⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡀⠀⠀⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠛⠻⠿⣿⣿⣦⡀⠀ ⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⣀⠀⠀⠀⠀⣀⠈⢻⣿⣷⠀ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠸⣿⡗⠀⠀⢸⣿⡇⠀⣿⣿⡇ ⠀⠀⣿⣿⠿⠋⠈⠙⠛⠛⠿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⠁ ⠀⠀⠋⠁⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣶⣄⣀⣀⣀⣀⣤⣤⣸⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠃

⠀⠀⠀⠀⠀⠠⣤⡀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⣸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣧⠙⠦⣄⠀⠀⠀⠀⣸⣧⠀⣰⡏⠙⣆⠀⠀⠀⠀⣠⡄⠀⠀⠀ ⠀⠀⠀⡀⠀⠀⣿⠀⠀⠈⠳⣦⡀⠀⣿⢹⣠⡏⠀⠀⠹⣆⢀⣴⠞⣿⠁⠀⠀⠀ ⠀⠀⠀⢿⡄⠀⢸⠀⠀⠀⠀⠀⠙⢶⡿⠀⠛⠀⠀⠀⠀⠹⠋⠁⠀⣿⠀⠀⠀⠀ ⢶⣄⡀⢸⡟⣆⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⣀⡀⠀ ⠈⢻⡟⠷⣷⠈⢾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡷⠛⣿⠁⠀ ⠀⠀⢻⡄⠀⠀⠀⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀ ⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀ ⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣄⡀⣼⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣆⠀⢀⡴⠟⠋⠉⠛⠻⢦⡀⠀⣴⠛⠁⠀⠀⠀⠙⢿⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣦⡿⠁⠀⠀⠀⠀⠀⠀⢹⣼⠇⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣇⠀⠀⠀⠀⣀⣀⠀⢸⠿⣇⢠⣴⣦⠀⠀⠀⢀⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡟⣦⣀⠀⢸⣿⣿⣶⣿⣤⣿⣿⣿⣿⣁⣠⣴⣿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠙⠛⠛⣿⠟⠁⠀⠀⠀⠈⠙⢿⡉⠀⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⢹⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀⢸⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⢻⣆⠀⠀⠀⠀⠀⣠⣾⣇⠀⠀⢸⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⣠⣞⣭⡿⠶⠶⠶⠿⠿⠶⣽⣷⡀⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⢠⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠈⢻⡇⠀⣷⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠈⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣦⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⢿⣀⣀⣀⣀⣀⣀⣀⣀⣤⣤⡤⠤⠶⠶⠒⠛⠉⢈⡗ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⡁⠈⠉⠉⠉⠁⠀⠀⠀⢀⡿⠻⣄⠀⠀⠀⠀⠀⠀⣾⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⡀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠹⣆⠀⠀⠀⠀⣼⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⢠⣿⡀⠀⠀⣿⣧⠀⠀⣰⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⡼⠀⢻⣤⣤⣿⠈⢷⣠⡏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⣰⠃⠀⢸⠇⠀⠘⣧⠀⠛⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⣿⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢶⣄⡀⠀⢰⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢶⡟⠀⠀⠀⠀⠀

⢀⣀⣀⠀⠀⠀⠀⠀⣠⣄⡀⠀⠀⠀⠀⣀⣀⡀⠀⣠⣶⣦⠀⠀⠀⣴⣶⡄ ⠘⣿⣿⡆⠀⠀⠀⣼⣿⣿⣷⠀⠀⠀⢠⣿⣿⠃⠀⠙⠿⠟⠁⠀⠀⠻⠿⠃ ⠀⢻⣿⣿⠀⠀⢰⣿⣿⣿⣿⡆⠀⠀⣸⣿⡟⠀⠀⢠⣤⣤⠀⠀⠀⣤⣤⡄ ⠀⠈⣿⣿⡆⠀⣼⣿⠇⠸⣿⣿⠀⢠⣿⣿⠁⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⡇ ⠀⠀⢹⣿⣿⣰⣿⡟⠀⠀⢿⣿⡇⣼⣿⡇⠀⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⡇ ⠀⠀⠀⣿⣿⣿⣿⠃⠀⠀⠘⣿⣿⣿⡿⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⡇ ⠀⠀⠀⠘⠿⠿⠋⠀⠀⠀⠀⠹⠿⠿⠃⠀⠀⠀⠀⠸⠿⠿⠀⠀⠀⠿⠿⠇

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⠚⠛⠛⠛⠛⠲⠶⢶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣷⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⢠⣄⣀⣀⣀⣀⣀⣀⣀⣤⡴⠟⠃⠀⠀⠀⠀⠀ ⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀⣀⣈⣉⣛⣋⣉⣿⣉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⣀⣀⣀⣀⣉⣉⡛⢲⣄⠀⠀⠀⠀⠀⠀⠀ ⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⢠⢺⠋⠛⠉⠁⢈⡉⠋⠻⣿⣴⣟⠀⠀⠀⠀⠀⠀⠀ ⣾⡇⠀⠀⠀⠀⠀⠀⠀⢀⡼⠼⢠⠊⠉⠑⢇⠀⠑⣴⠋⠀⠉⢻⣆⠀⠀⠀⠀⠀ ⢿⡇⠀⠀⠀⠀⠀⠀⣰⠟⠢⡀⠈⢦⣄⠀⠀⢳⣶⠃⠀⠀⠀⢀⡿⣄⠀⠀⠀⠀ ⢸⣧⠀⠀⣀⣀⣀⣠⡏⠀⠀⢈⣧⠬⠭⠵⠮⠭⣀⢀⣀⣠⠴⠛⢀⣸⠀⠀⠀⠀ ⠀⠹⣷⡟⢉⡥⠤⠜⠛⠀⡞⠁⠀⠀⠀⠀⠶⣆⣀⣨⡭⠓⠀⠰⠛⢹⡇⠀⠀⠀ ⠀⠀⠘⣿⠁⠀⠀⠀⠀⠀⠧⣀⣦⣀⠀⠀⢠⠛⣿⡿⠁⠀⠀⢀⠤⡎⠀⠀⠀⠀ ⠀⠀⠀⠹⣦⡀⠀⠀⠀⠀⠙⠦⠭⠉⠀⠀⠈⠉⠉⠀⠀⣀⣠⣔⠊⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⠷⠖⢂⡤⠀⠀⠀⠀⣀⠀⣀⣀⣀⠼⠿⣿⣍⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢛⣉⡽⠟⠓⠋⠛⠙⠋⠀⠢⡀⠀⢻⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡤⠖⠚⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⣼⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⢀⣀⣤⡤⢦⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣽⣧⣀⠀⠐⣫⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣀⡟⣩⠟⠁⠉⠒⢄⣀⠀⠀⠀⠀⠀⠀⣀⣠⢼⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠹⣷⡇⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠉⠉⠁⢀⡞⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⢷⣄⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⣀⣴⠟⠙⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢶⣄⠀⠀⠀⠀⠑⢶⠿⠿⣏⠁⠀⠀⠘⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣀⣽⢷⣄⠀⠀⠀⠀⢳⡈⠙⠃⢀⣠⣼⠟⠓⢦⡀⠀ ⠀⠀⠀⠀⢠⡾⠉⠀⠀⠈⠉⠀⠀⠁⠀⠀⣀⣠⣼⠃⠀⠀⠛⠉⠁⠀⠀⠀⠙⣦ ⠀⠀⠀⠀⣿⡁⠀⠀⠀⠀⠀⠀⠀⠺⠿⠛⠛⠉⠉⠙⠲⣤⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠀⠀⠘⢧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⣀⣀⣀⣀⣤⠾⠃ ⠀⠀⠀⠀⠀⠀⠙⠷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡟⠉⠉⠉⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠳⠶⠶⣤⣤⣤⣤⣤⠶⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⣾⣿⣿⣿⣿⣶⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀ ⠀⣀⣰⣶⣿⣷⣄⠀⢀⣿⣿⣿⡏⠋⣿⣿⣿⣿⣿⣿⠉⢹⣿⣿⣿⡇⠀⠀⠀⠀ ⣤⣿⣿⣿⣿⣿⣿⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣷⠀⠀⠀⠀ ⠹⣿⣿⣿⣿⣿⣿⣦⣾⣿⣿⣿⣿⣿⣿⣯⣽⣯⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀ ⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀ ⠀⠀⠀⠀⠉⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣇ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠘⠻⣿⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡟⠉⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⣿⡿⠏⠀⠀⠘⠿⠿⠿⠿⠛⠀⠀⠀⠀⠀⠀