Clash Royale Text Art

Copy & Paste Clash Royale Text Art Emojis & Symbols

⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣰⠖⡞⠛⣧⣿⠲⠦⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⠟⠛⠛⠛⠛⠛⠛⠛⠛⣻⡟⠙⣿⡇⠀⠀⠻⠟⠀⢠⡿⠻⠿⠟⠿⠟⠻⠿⠿⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠉⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣆⠀⡠⠤⠒⠒⠒⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢮⣤⣤⣤⣤⡶⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣴⣶⡒⠛⠛⣫⣍⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣴⠾⠛⠛⠛⠛⢿⡿⠿⠛⢁⠤⠤⡙⠻⠿⣿⠟⠛⠛⠛⠛⠻⣶⣄⠀⠀ ⠀⢰⡟⠁⠀⠀⢀⣠⣤⡞⢵⢷⡄⢸⠀⠀⡇⣴⠶⡜⣆⣠⣤⣀⠀⠀⠀⢻⡆⠀ ⠀⣿⠃⠀⠀⠀⢿⣿⣿⣧⣤⣭⡗⠚⠀⠀⠓⢯⣥⣤⣿⣿⣿⣿⠀⠀⠀⠈⣿⠀ ⠀⣿⠀⠀⠀⠀⣨⣿⡛⠛⢻⠛⠿⠷⢶⠶⠾⠟⢿⠛⠛⣻⣿⡁⠀⠀⠀⠀⡇⠀ ⠀⣿⠀⠀⠀⣴⣿⣿⣿⣦⣼⣀⣀⣀⢸⠀⣀⣀⣨⠤⠚⠁⣿⣷⡄⠀⠀⠀⡇⠀ ⠀⣿⠀⠀⢺⣿⣿⣿⡿⠟⠋⠉⣀⣬⣯⣭⣥⣀⡀⠀⠀⣠⣿⣿⡟⠀⠀⠀⡇⠀ ⠀⣿⠀⠀⠀⠙⣿⣿⣝⠒⢤⠍⣉⣉⣓⣟⣁⠀⠬⠔⢚⣿⣿⡟⠀⠀⠀⠀⡇⠀ ⠀⣿⡀⠀⠀⢠⡟⢿⣿⣶⣄⡀⠀⠀⠘⠀⠀⠀⣀⣷⣿⣿⠟⢻⡀⠀⠀⠀⡇⠀ ⠀⢻⣧⠀⠀⡾⠲⣄⡙⠿⣿⣿⣿⣶⣶⣶⣶⣿⣿⡿⠋⣁⡤⠞⣧⠀⠀⣸⡇⠀ ⠀⠈⢿⣷⣾⣇⣀⣀⣈⣙⣶⣬⣝⣿⣿⣿⣿⣯⣴⣖⣋⣁⣀⣀⣸⣦⣾⡿⠃⠀ ⠀⠀⠀⠉⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠶⣶⠾⠿⢿⣇⢸⣿⣶⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣶⣿⡀⠸⠀⠀⢸⣿⢿⡇⠀⠈⠉⢻⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶ ⡿⠿⠿⠻⠿⠛⠛⠿⠿⠛⠛⠛⠛⠻⠛⢻⣿⡿⠋⢹⣿⣿⡇⠀⠀⠀⠈⢿⣿⡇⠀⠀⠀⣿⡿⠿⠿⠿⢿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣯⠀⠀⠀⠿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣦⠀⠀⠀⠀⢀⣀⣠⡤⠤⠤⠤⣄⣰⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⢀⡴⠚⠉⠁⠀⠀⠀⠀⠀⣠⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣦⣤⣀⣀⣤⣤⣤⣶⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣭⣭⣿⣿⣿⣿⣿⠿⢷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⣀⣀⣴⣿⣿⣴⣿⣿⣿⡍⠁⠀⠀⠀⣴⣶⣤⣿⣿⣷⣦⣄⡀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣴⣾⡿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⠿⠁⢀⣀⣀⡀⠻⢿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣶⣤⡀⠀⠀⠀⠀ ⠀⠀⠀⣠⣾⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⢈⣿⡟⣋⡀⠀⠀⢰⡇⠀⠀⢸⠀⠀⠈⠉⠛⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣆⠀⠀⠀ ⠀⠀⢰⣿⡟⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣾⠋⣼⣿⣿⣆⠀⢸⡇⠀⠀⢸⠀⢀⣶⣿⣷⡘⣿⡀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠹⣿⣆⠀⠀ ⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⡇⠀⠀⠓⠺⢟⣀⣸⠃⠀⠀⢸⣀⣺⠿⠤⠈⠁⠘⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢻⣿⠀⠀ ⠀⠀⣿⡏⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣷⣶⣶⣿⡋⠁⠀⠀⠀⠀⠈⠉⠙⢿⣶⣶⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀ ⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⣻⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⠟⠃⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀ ⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⣴⣿⣿⣧⡀⠀⠀⢸⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⢸⡇⠀⠀⢀⡴⠻⣿⣷⡀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀ ⠀⠀⣿⡇⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣷⣦⣼⣀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⢸⣀⣤⠶⠋⠀⠀⣿⣿⣿⡄⠀⠀⠀⠀⠀⢸⣿⠀⠀ ⠀⠀⣿⡇⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⠟⠛⠛⠒⠻⠒⠒⠛⠛⠋⠉⠉⠀⠀⠀⠀⢸⣿⣿⣿⣿⡄⠀⠀⠀⠀⢸⣿⠀⠀ ⠀⠀⣿⡇⠀⠀⠀⠻⣿⣿⣿⣿⣿⣟⡛⠛⠁⠀⠀⠘⣠⣴⣾⣿⡗⢸⣿⣶⣤⣤⣄⠀⠀⠀⠀⣀⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⢸⣿⠀⠀ ⠀⠀⣿⡇⠀⠀⠀⠀⠘⢿⣿⣿⣿⣟⠳⢦⣄⣀⡀⠋⠉⠙⠛⠻⢧⣿⠟⠉⠁⠀⠀⣙⣠⡴⠞⣻⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀ ⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣦⡀⠀⣹⠙⠓⠒⠒⠒⠲⢶⡷⠖⠒⠒⠚⠋⢹⠁⢀⣴⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀ ⠀⠀⣿⣇⠀⠀⠀⠀⠀⢠⣿⠻⣿⣿⣿⣿⣦⣁⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢈⣶⣿⣿⣿⣿⠟⠛⣿⡀⠀⠀⠀⠀⠀⢸⣿⠀⠀ ⠀⠀⣿⣿⡀⠀⠀⠀⢀⣿⣇⠀⠈⠻⣿⣿⣿⣿⣿⣶⣦⣤⣤⣤⣬⣤⣤⣤⣤⣶⣾⣿⣿⣿⡿⠟⠁⠀⠀⣿⣇⠀⠀⠀⠀⠀⣾⣿⠀⠀ ⠀⠀⢿⣿⣷⡀⠀⠀⣼⡟⠙⠻⢦⣤⣀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠉⢀⣀⣴⠶⠟⠉⢿⡆⠀⠀⢀⣼⣿⣿⠀⠀ ⠀⠀⠘⢿⣿⣿⣦⣴⡿⠀⠀⠀⠀⠈⠙⠛⠶⣦⣄⣈⠛⠿⣿⣿⣿⣿⣿⣿⠿⢋⣁⣤⠶⠾⠛⠉⠀⠀⠀⠀⠸⣿⣀⣴⣾⣿⣿⠃⠀⠀ ⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠛⠛⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠛⠉⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣴⣶⣶⣿⣶⣿⣧⠀⣼⣷⣦⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣤⣤⣤⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣤⣿⡏⠀⢩⠀⠀⠀⢹⣿⣦⣿⡏⠉⠛⠛⠻⣿⣿⣄⣀⣠⣠⣄⣄⣀⣀⣠⣤⣄⣤⣠⣠⣄⣤⣠⣠⣤⣀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⡀⠈⠀⠀⠀⢸⣿⣯⣿⡇⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⠋⠛⠋⠙⠛⠛⠉⠉⠻⠛⠋⠉⠉⠉⠙⠉⠉⠋⠉⣽⣿⡿⠋⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠻⢿⣿⠃⠀⠀⠀⢰⣿⡿⠋⠛⠛⠛⠻⠟⠛⠻⠟⠟⠛⠛⠛⠟⠿⠿⠿⠿⡿⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣯⡀⠀⠀⠀⢿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣦⠀⠀⠀⠀⢀⣀⣤⠶⠶⠞⠛⠛⠛⠳⠶⣤⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣧⠀⣰⠾⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣥⡀⠀⠀⠀⠀⠀⣀⣤⣤⣴⣾⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⠿⠿⠿⢿⢿⣿⣛⣛⣛⣡⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⢀⣴⣶⣶⣶⣶⡿⠿⠿⠿⠿⠿⠟⠛⠻⣿⣆⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⡀⣀⣀⣠⣿⣿⣿⣧⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⣼⣷⣶⣤⣽⣿⣿⣿⣷⣆⣀⠀⠀⡀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣾⣿⡿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⠿⠟⠛⠉⠁⠀⢠⡜⠛⠛⠛⢲⡀⠈⠉⠛⠿⠿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠳⣴⣶⣄⠀⠀⠀⢸⡇⠀⠀⠀⢸⡇⠀⠀⢀⣀⣀⠘⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣷⡀⠀⠀⠀ ⠀⠀⠀⣾⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣴⣾⡿⠁⠾⢿⢿⣿⣷⠀⠀⢸⡇⠀⠀⠀⢸⡇⠀⣴⣿⣿⣿⣧⠘⣿⣇⢠⣤⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⠀⠀⠀ ⠀⠀⢠⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⡀⠀⠀⠘⠲⠮⡿⢃⡀⣼⠇⠀⠀⠀⢸⡇⠘⣻⣭⣤⡄⠈⠁⠸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡆⠀⠀ ⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⣤⣤⣤⣤⣶⡿⠛⠉⠉⠀⠀⠀⠀⠘⠛⠻⢿⣷⣤⣤⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀ ⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠃⠀⠀ ⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠛⠛⠛⠿⠿⢿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⠿⠿⠿⠟⠛⢻⣿⣿⣟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀ ⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣷⣄⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⣠⡞⠹⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀ ⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣷⣦⣄⣀⠇⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⣠⣴⠞⡋⠀⠀⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀ ⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣦⣤⣤⣤⣀⣼⣄⣀⣠⣤⣤⣴⡶⠶⠿⠛⠉⠁⠀⠀⠀⢰⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀ ⠀⠀⢸⣿⣿⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠏⠉⢟⠓⠀⠈⣉⣉⣩⠉⣉⣉⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀ ⠀⠀⢸⣿⣿⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣙⡭⠉⠁⠀⠀⠀⠀⢈⣥⣶⣿⣿⣿⣿⠀⣿⣿⣿⣧⣤⣤⣤⡀⠀⠀⠀⠀⢠⣠⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀ ⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣝⠻⢦⣄⣀⠀⠀⠚⠛⠉⠙⠛⠻⠿⣷⣴⣿⠿⠛⠉⠀⠀⠀⠙⠓⣀⣠⡶⠟⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀ ⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣆⠀⠉⠙⢻⡾⠶⢦⣤⣄⣀⣀⣀⣀⣙⣉⣤⣤⣤⡤⠴⠶⠾⡟⠉⠉⢀⣴⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀ ⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣷⣄⠀⣸⠇⠀⠀⠀⠀⠀⠀⠈⠉⣿⠉⠀⠀⠀⠀⠀⠀⠀⣇⠀⣠⣾⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀ ⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⣸⣿⠃⢻⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⢀⣼⣾⣿⣿⣿⣿⣿⠟⠉⢹⣿⡄⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀ ⠀⠀⢸⣿⣿⡀⠀⠀⠀⠀⠀⢠⣿⡇⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣀⣀⣀⣻⣀⣀⣀⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⢀⣿⣷⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀ ⠀⠀⠘⣿⣿⣧⡀⠀⠀⠀⢀⣿⡟⠻⢷⣦⣄⡀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠃⠀⠀⣀⣤⣶⡾⠟⣿⣆⠀⠀⠀⠀⠀⣼⣿⣿⠀⠀⠀ ⠀⠀⠀⢿⣿⣿⣷⣄⠀⠀⣾⣿⠁⠀⠀⠈⠙⠻⢷⣦⣄⣉⠛⠯⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠉⢀⣠⣤⣶⠿⠛⠋⠁⠀⠀⢸⣿⡄⠀⠀⣠⣾⣿⣿⣿⠀⠀⠀ ⠀⠀⠀⠈⢿⣿⣿⣿⣿⣶⣿⡃⠀⣀⣀⣀⣀⣀⣀⣀⣙⡛⠻⣷⣤⣤⣈⣙⠻⣿⣿⣿⣿⣿⣿⣿⢟⣋⣠⣤⣴⠿⢛⡋⢉⣀⣀⣀⣀⣀⣀⣀⠀⣿⣷⣤⣾⣿⣿⣿⡿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠉⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢴⡒⠛⢳⡶⠤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡅⠘⠃⠀⠘⠃⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠖⠋⠉⠉⠉⠉⠉⣱⡠⠤⠴⢦⣤⣾⣍⠉⠉⠉⠉⠉⠙⠳⣄⠀ ⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⡀⠀⢿⣷⠿⢁⠤⢘⠛⠿⡟⠀⢀⡤⠤⡄⠀⠀⠘⡆ ⣴⠛⠛⠛⠛⠃⠀⠀⠀⡋⠉⢧⢰⠳⢦⠸⠀⠸⢰⠛⢛⣤⣸⠀⠀⡇⢀⠀⠀⡇ ⠘⢷⣄⠀⠀⣀⡤⢶⣶⡇⠀⣾⣿⣦⣴⣉⣀⣀⣭⣷⣾⣿⠿⠆⠀⢟⠫⡉⠳⡇ ⠀⠀⠙⠷⣶⠃⠰⠁⠘⠀⠀⠈⠙⡟⡟⠛⠛⠛⠛⠙⡏⡇⠀⠀⠀⠀⡇⢠⠀⣿ ⠀⠀⠀⠀⢸⣄⠰⡀⠀⠀⠀⠀⢠⣇⠁⠀⠀⡆⠀⢀⣥⣷⣄⣀⣀⣰⣀⣂⡴⡇ ⠀⠀⠀⠀⢸⡏⠓⠻⠶⠶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡏⠉⠉⠉⠀⠀⡇ ⠀⠀⠀⠀⢸⡇⠀⠀⠀⢠⣇⠈⠙⠿⣿⣿⣿⣿⣿⣿⠿⠋⢀⣳⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⢧⠀⠀⠀⡏⠀⠉⠒⠤⢄⣈⣉⣙⣉⠤⠔⠊⠁⠈⣇⠀⠀⠀⣰⠃ ⠀⠀⠀⠀⠀⠈⠻⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣶⣶⠾⠋⠀
pls note the ai inflicts emotional damage (ᵕ—ᴗ—)
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⣴⠲⠿⠷⣦⢠⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠞⠉⣷⣿⠀⠀⠀⣿⣿⠀⠉⢻⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠛⠋⠀⠀⠀⠉⠁⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠶⠶⠶⠶⠶⠶⠶⠶⠶⠾⣧⠀⠀⠀⣀⣀⣀⣀⡀⠀⣾⠷⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⣦⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡸⣷⣚⡉⠉⠉⠉⣽⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠇⠀⠤⠤⡜⠛⠿⢿⣿⠏⠀⠀⠀⢀⣤⣤⣤⡀⠀⠀⠀⠀⠈⣿⠀ ⢀⣠⣤⣤⣤⣤⣤⣴⣿⠀⠀⠀⠀⠀⢀⣶⠶⠶⣦⡀⠈⣹⢟⣁⠀⠀⢄⠀⠀⢣⠀⣠⣶⣜⣧⡀⠀⢰⡟⠁⠀⢸⡇⠀⠀⠀⠀⠀⢻⠀ ⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠈⣷⣰⡏⠚⣛⣷⡀⢸⠀⠀⢸⣠⣯⠭⠉⢼⣷⣶⣾⡇⠀⠀⣸⣇⣀⣀⣀⠀⠀⢸⠀ ⠀⢿⣦⡀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⣿⠀⠀⢠⣿⣿⣷⣄⣠⣶⠋⠁⠀⠀⠀⠉⣙⣷⣶⣿⣿⣿⣿⣷⠀⠀⢹⡿⠯⢍⡉⠛⢷⣾⠀ ⠀⠀⠙⢿⣷⣤⡀⠀⣴⠟⠉⢀⠴⠚⣩⠟⠀⠀⠾⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠘⡆⠀⠙⡄⠀⢹⡇ ⠀⠀⠀⠀⠉⠻⢿⣿⡏⠀⢀⠇⠀⢰⠁⠀⠀⠀⠀⠀⠀⢻⡏⢛⠉⠉⠉⠉⢿⠉⠉⠀⠀⠉⠀⣿⠀⠀⠀⠀⠀⠀⠀⣹⠀⠀⡇⠀⢠⡇ ⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠸⡄⠀⠸⠀⠀⠀⠀⠀⠀⠀⣸⡇⢸⠀⠀⠀⠀⢸⠀⠀⠀⠀⢸⢀⣿⣄⠀⠀⠀⠀⠀⢠⠃⠀⣰⠃⣠⣾⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣦⣀⠻⣄⠀⢣⡀⠀⠀⠀⢀⣠⣿⣦⣼⣄⣀⣀⣀⣸⣀⣀⣠⣴⣾⣿⣿⣿⣷⣶⣶⣤⣴⣧⣴⡾⠷⠞⠋⢹⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠉⠛⠻⠿⠾⠿⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⢠⡟⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢀⡾⠧⣄⡀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⣀⡤⢿⡄⠀⠀⠀⠀⠀⠀⠀⣸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣆⠀⠀⠀⠀⠀⣼⠃⠀⠀⠉⠓⠦⣤⣀⡀⠀⠈⠉⠛⠛⠋⢁⣀⣠⠴⠖⠋⠁⠀⠘⣧⠀⠀⠀⠀⠀⠀⢠⡿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣦⣄⡀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠒⠒⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⣀⣴⣿⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠉⢳⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡠⠊⢁⠙⠀⣀⡠⠇⠀⠀⠀⠀⠀⠘⢀⡖⠲⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡄⠀⠈⠂⠉⠀⣀⣀⠀⠠⢤⡤⠄⢀⡀⠈⠐⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⠀⡠⠒⠉⠉⠀⠀⠀⠰⡥⡈⢑⠀⠀⠉⠂⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⣈⠀⠀⢀⣀⣀⣀⣀⣠⣬⣷⣥⢀⣀⢀⣀⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢷⣾⢀⣠⣾⣿⣯⣷⣶⣷⡇⠀⣿⣾⣴⣯⣿⡿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⣾⣿⣿⠉⠿⠛⠋⠙⠇⠀⠈⠋⠛⠏⣿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⢹⢹⣗⣆⠱⠤⠤⢶⣾⣦⣄⣤⠤⢴⣿⡶⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣽⣤⣿⠳⣾⣷⣦⠤⠿⠷⠶⠻⠿⢶⣾⠿⣯⣃⠀⠀⠀ ⠀⠀⠀⠀⣴⣿⣿⢿⣏⠀⠘⣿⡷⣶⣶⣶⣶⡶⣶⣿⡿⠀⢸⣏⠀⠀⠀ ⠀⠀⠀⠐⢨⣿⣤⡔⠙⢆⠀⠈⠓⠈⠍⠖⠒⠊⠡⠟⠁⠀⣼⢦⣭⡗⡀ ⠀⠀⠀⠀⠘⠿⣿⣷⣄⣀⡵⢤⡀⠀⠀⠀⠀⠀⠀⠀⢀⡴⣇⢀⡟⠀⠈ ⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣦⣄⠞⡝⣿⢹⣿⣯⠹⡫⣧⢿⣾⠟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣼⣿⣸⠇⣿⣀⣧⣿⡿⠋⢀⡀⠀⠀ ⠐⠄⠀⣀⠀⠀⠀⠀⡰⠁⠂⠭⣻⢿⣿⣿⣿⣿⣿⡟⠉⡤⠖⠁⠈⢆⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣖⣿⡛⠛⠙⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡿⠟⠁⡔⠲⠉⢛⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡴⠒⢾⠟⣷⡄⠃⠀⣠⣿⠛⣽⠋⠙⢦⡀⠀⠀⠀⣀⠀⠀ ⠀⡞⠉⠛⣦⣀⡼⠋⢀⣴⣾⣶⣾⣇⣀⣠⣤⣼⣿⣿⣷⣄⠀⠙⢦⣴⠏⠉⢹⡆ ⠀⠙⣦⡀⠈⠁⠀⠐⠉⣹⡟⠻⠋⠉⠉⡟⠉⠉⠹⠁⣿⡀⠁⠀⠀⠁⠀⣴⠛⠀ ⠀⢠⡿⡀⠀⠀⠀⠄⠊⣹⣧⣄⡆⠀⠀⠇⠀⣀⣠⣴⣿⡈⠐⠀⠀⠀⠀⠽⣆⠀ ⢰⡏⡄⠑⠄⣀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣶⣤⠤⠄⠊⢀⢻⡄ ⠘⣇⠈⠢⠤⠤⣻⡿⠀⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠀⢹⣿⠒⠀⠒⠁⣸⠃ ⠀⠈⠳⠧⠴⠞⣹⠃⠀⠀⠀⠀⠀⠉⠉⠛⠋⠉⠀⠀⠀⠀⠀⢧⠙⠒⠒⠛⠁⠀ ⠀⠀⠀⠀⠀⠀⠧⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠼⠆⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣠⡶⢶⣿⣿⣶⣦⢠⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠟⣿⣼⡇⠀⠀⠀⢸⣿⣾⡏⠙⠻⢷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡋⠀⠀⢿⣿⡇⠀⠀⠀⠸⢿⡿⠁⠀⠀⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣶⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣧⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⠀⢠⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢷⣦⣄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⢻⣧⡶⢟⠛⠛⠉⠉⠉⣻⣿⣟⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⣼⣿⣿⣿⡇⠀⠀⠀⠀⠿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠸⣿⣿⣿⠿⠛⠋⠀⣴⠉⠉⠙⡆⠀⠉⠉⠛⢻⣏⠀⠀⠀⠀⣠⡾⠟⠛⠻⣷⡄⠀⠀⠀⠀⠀⠀⢸⣿⠀ ⢀⣤⣶⡶⠿⠿⠿⠿⠿⠿⠿⡧⠀⠀⠀⠀⠀⠀⠀⣼⡟⠛⠛⠻⣷⡀⠀⢰⡟⣡⣦⣄⠀⠀⣿⠀⠀⠀⣿⠀⢠⣾⣿⣦⢻⣆⠀⠀⢰⣿⠁⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⠀ ⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⢸⣿⣠⡿⠑⠛⣛⣿⣧⠀⢻⠀⠀⠀⢹⣀⣿⠭⠖⠈⢠⣿⣷⣶⣾⣿⠀⠀⠀⢠⣿⣁⣀⣀⣀⣀⠀⠀⢸⣿⠀ ⠀⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣹⣷⠀⠀⠀⣸⣿⣿⣿⣆⠀⢉⣩⡾⠟⠋⠀⠀⠀⠈⠋⠛⢿⣦⣤⣼⣿⣿⣿⣿⣿⣇⠀⠀⢸⣿⣿⣿⣛⠛⠛⠿⣶⣼⣿⠀ ⠀⠈⠻⣿⣷⣤⡀⠀⠀⠀⠀⣠⣶⠿⠛⠋⣉⣭⠿⢿⣿⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣤⣤⣤⣶⣶⣾⣿⣿⣿⣿⣿⣿⠿⠛⠋⠙⠀⠀⠈⠙⢧⡀⠈⠛⣦⠀⠈⠻⣿⡀ ⠀⠀⠀⠈⠙⢿⣿⣷⣤⣀⣼⡟⠁⠀⣠⠞⠁⠀⣴⠋⠀⠀⠀⠈⠉⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⣿⠟⢻⡿⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠸⡇⠀⠀⢻⡇ ⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⠃⠀⢀⡏⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⣿⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⣿⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢀⡟⠀⠀⣾⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡆⠀⠸⣇⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⢹⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⢻⠀⣸⣿⡄⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⢀⡼⠃⢀⣴⣿⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣄⠀⠹⣆⠀⠀⢷⡀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣄⣸⡆⠀⠀⠀⠀⠀⣿⠀⠀⠀⣀⣠⣼⣾⣿⣿⣿⣶⣤⣤⣤⣀⣀⣴⣋⣠⣴⣻⣥⣶⠿⢻⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡏⠛⠿⣶⣭⣷⣤⣤⣷⣤⣤⣤⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠛⠛⠛⠛⠉⠉⠀⠀⢸⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠈⠉⠉⠙⠛⠋⠉⣹⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠀⠈⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⢷⣄⡀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠀⠀⢀⣠⡼⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡀⠀⠀⠀⠀⠀⠀⠀⣾⠇⠀⠈⠙⠳⢶⣤⣀⠀⠀⠀⠈⠉⠛⠻⠿⠿⠿⠿⠛⠉⠀⠀⣀⣠⡴⠞⠛⠁⠀⢹⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⡀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠉⠛⠳⠶⢤⣤⣤⣀⣀⣠⣤⣤⡴⠶⠞⠛⠉⠁⠀⠀⠀⠀⠀⠀⢿⣇⠀⠀⠀⠀⠀⠀⢀⣴⣿⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣷⣤⣄⣀⣰⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣉⣉⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣿⣄⣀⣀⣀⣤⣶⣿⡿⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠋⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠈⠉⠻⢶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⣀⡀⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⡆⠀⢳⠀⠀⠀⢀⣠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⡟⠛⠿⢧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⡏⠀⠀⠀⠀⢀⡸⠶⠚⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠢⣄⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠈⠁⠀⠀⠀⠀⣀⣠⡤⠤⠤⠔⠒⢒⣶⡖⠢⠤⢤⣀⡀⠀⠀⠈⢻⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢀⡠⠖⠚⠋⠉⠉⠀⠀⠀⠀⠀⣴⣋⠀⠉⠳⢄⠀⠀⠈⠉⠒⢄⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⣠⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢮⣳⡀⡠⠚⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣇⠁⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⢀⣀⣀⣀⣤⣬⣏⣄⣀⣀⠀⠀⠀⢀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣉⣽⡆⠀⠀⠀⣶⣿⣿⡟⠻⣏⡉⠙⣯⣹⡏⠉⠉⢹⣇⣨⠏⠙⣻⠛⣿⣷⣾⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣿⣾⠃⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⢼⣿⣿⣷⣿⣿⣿⣫⣿⣏⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠏⣰⣿⣿⣿⣿⠟⠛⢿⣿⣿⠿⠟⠻⢿⡇⠀⠀⠀⢻⠿⠻⠿⡟⢻⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⣋⠁⠀⠀⠀⢀⠀⢁⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠋⢰⢈⣿⡟⣯⡉⠉⢷⣤⣤⣤⣼⣶⣾⣷⣤⣀⣀⣤⣤⣤⣤⣾⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⣼⣿⣇⣛⣻⣆⣀⡐⠀⢠⣾⣻⣟⣛⣻⣿⣿⣿⣄⣀⣻⣿⣿⣿⡿⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣶⣶⣿⡏⠙⠿⣿⣿⣿⡿⠿⠿⠿⠟⠛⠛⠛⠙⠛⠛⠻⣿⣿⡿⠿⢿⣿⣇⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⠁⠀⠈⢻⣿⡿⣶⣶⣶⣶⣶⣶⣦⣤⣤⣶⣶⣶⣿⣿⣿⠀⠀⣿⡿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣿⣿⡿⠟⠛⠻⢿⣄⠀⠀⠈⢿⣿⣯⠻⢿⣿⡿⠿⠿⡿⠛⣹⠿⣿⣿⣿⠃⠀⠀⣿⠛⢦⣄⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠂⣠⣿⣷⣄⣠⠆⠀⠻⣆⠀⠀⠀⠈⠙⠢⠤⠈⠉⠉⠑⠋⠉⠁⢠⠿⠟⠁⠀⠀⢀⡿⢷⣦⣭⣽⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣄⠀⠀⠉⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠇⠀⠙⣿⠏⠈⠳⢄ ⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣷⣤⣀⣴⠎⠓⢦⣀⡀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⣀⣴⡿⢿⣆⣠⣴⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣧⣄⠀⢀⡼⢋⡟⣾⣿⢻⣿⢻⣻⠉⢻⡶⡟⣯⢨⡻⣦⣹⣿⠟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣷⣾⣀⡿⢰⣿⣿⢸⢿⠘⣟⡇⠀⢧⠘⣿⣇⣽⣿⡿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣷⣾⣾⣿⡸⢸⡇⣿⣧⠀⢸⣧⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣶⣧⣿⣿⣿⣿⣿⡿⠛⠁⠀⣠⡶⠋⠹⡄⠀⠀⠀ ⠱⠆⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠈⠉⠒⠦⣝⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⣠⡶⠛⠁⠀⠀⠀⠘⠆⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⠖⠒⠂⣠⡶⢺⡇⠀⠙⡆⠀⠀⠀⠀⠀⠀⢀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠒⠒⠤⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠖⠋⠁⠀⠀⢠⠞⠁⠀⠈⡇⠀⠀⣠⡤⠖⠚⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⢦⡀⠀⠀ ⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⢷⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⡤⠴⠖⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣻⡻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⣀⣤⡶⠟⢿⠍⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣴⡮⠟⠛⠻⣶⡀⠀⠉⠣⣄⡀⠀⠀⠀⠹⡏⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢀⣴⡾⠛⠹⢶⣿⣯⣁⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣷⣄⠀⠙⢤⡀⣀⡼⠛⢦⠀⠀⠈⠉⠲⣄⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠿⠁⠀⠀⢀⣿⣿⣿⣿⡍⠹⣷⣄⣠⣤⣤⣤⣤⣄⣀⠀⠙⢷⣄⠀⠉⣁⡤⠖⠉⠀⠀⠀⠀⠀⠈⢻⣆⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠁⠀⠀⠀⠀⠸⣿⣿⣿⣿⣷⡀⠈⠉⠻⢧⣄⡀⠀⠈⢻⣏⠛⠶⣬⡳⠾⡁⢀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠙⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢿⣧⣄⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣻⣷⣶⣆⣤⣝⣿⣿⣾⣶⣿⣆⠀⣻⣿⣿⡟⠛⠉⢉⣿⠋⠛⠻⣶⣿⡿⣶⣼⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⢱⠛⢡⣿⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠙⣿⣿⡄⢠⡞⠁⣀⣤⡶⠋⠉⣠⡿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣸⡃⣸⢇⣴⣿⣿⣿⣿⣿⡏⠛⠻⠿⠿⢛⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⠃⠈⠉⠙⢿⣿⡏⣥⡾⠋⠅⠀⠶⠞⠋⣼⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣾⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⢀⣿⠋⠁⠀⢰⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⣻⣿⣿⣿⣿⣿⣷⣦⣄⡀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢻⣿⣿⣿⣿⣿⣿⡟⣀⣀⣀⣐⣋⣁⠀⠀⠀⠀⠀⠀⢈⡿⠇⠀⠀⠀⠀⠀⠀⠘⢿⣯⣿⠛⢿⡏⠻⣿⣿⣿⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠞⠛⠛⢿⣿⣿⣿⣿⡏⢻⣇⠈⣿⣻⣿⡆⠀⠀⢀⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠁⠀⠚⠃⢸⣿⣿⣿⣷⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡾⠃⠀⠀⠀⠀⠀⣿⣿⢷⣿⠀⠈⢿⣆⣸⣿⣿⣿⣶⣤⣼⣧⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⢀⣰⣿⡟⢸⣷⣤⣀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣤⣤⣴⣶⣆⠀⠀⠀⠀⢠⣽⣥⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⣸⣿⡿⠁⠘⣿⣿⣿⣿⣿⣛⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⢳⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢷⡄⠀⣠⣾⣿⣿⠃⠀⠀⠘⠻⠿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣶⣿⣯⣭⣿⣿⣭⣾⣿⣯⣿⡿⢿⣿⣿⣿⣿⣿⣿⣯⣥⡾⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⢀⣿⣿⡟⠻⠟⠛⢻⡟⠛⠻⠿⠛⠛⠛⠛⠹⢿⣿⣿⣿⣿⣿⣟⣻⣻⠿⣿⣿⣿⣗⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⢀⣿⣯⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⣿⣿⣿⣿⣷⣶⣿⣿⣍⣩⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣦⣤⣤⣤⣀⣀⣀⣀⡀⠀⢀⣿⣿⠉⠙⠛⠿⣿⣿⣿⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣘⡿⠿⠿⢻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⠿⠿⠿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⠈⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣾⣿⣇⣀⣺⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⢠⣿⡟⠉⠛⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠹⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣸⣿⣿⣿⣿⣽⣿⡿⠟⢩⣿⣿⣿⣄⠀⠀⠀⠘⣿⣇⡀⠀⠈⠻⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⣸⠟⠻⠶⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⢿⣿⣿⣿⣿⣿⣥⣶⣾⣿⡿⢛⣿⣿⣆⠀⠀⠀⠙⣿⣷⣄⠀⠀⠀⠉⠙⠓⠲⠤⣤⣀⣀⣀⠀⠀⠀⠀⣰⣿⡯⠙⣿⣇⠀⠀⠀⢠⣿⣇⠀⠀⠀⠉⠽⣶⡄⠀⠀⠀⠀⠀ ⢰⠈⢻⣿⣿⣿⣿⣿⡟⢉⣡⡾⣯⣾⣿⡿⣷⡀⠀⠀⠈⠙⠿⠶⢤⣤⡀⠀⠀⠀⠀⠀⠀⠈⠉⠉⢉⣉⡉⠁⠀⠀⢀⣿⣿⠀⠀⠀⣼⡣⣙⠷⣿⣶⣄⣰⣿⠃⠀⠀⠀⠀⠀ ⢸⣀⣰⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⠿⣋⣤⡾⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠾⢿⡿⠀⠀⢠⣿⠳⣄⠀⠀⠙⢿⣿⠇⠀⠀⠀⠀⠀⠀ ⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣾⣿⠏⢀⠄⢙⣷⣄⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠁⠀⠈⡳⠀⠑⣶⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⡶⠋⡀⠛⠁⣙⣷⠶⢦⣄⣀⣀⣀⣀⣤⣴⣶⣾⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⢀⣾⠇⠐⢷⡄⠹⣦⣼⡿⢤⣀⠀⠀⠀⠀⠀⠀ ⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣁⣌⣴⡿⠋⢠⣶⣿⢛⣿⣿⣿⡏⠹⠃⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⣀⣀⣤⡿⠃⢠⠀⠈⠻⣦⣾⣿⠃⠀⠉⠳⢦⡀⠀⠀⠀ ⠀⠀⠀⠹⣿⣇⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣴⣿⣿⠁⣼⣿⡿⣿⠇⠀⠀⣿⠹⢿⡿⣿⣿⣿⠿⣿⣿⣿⣿⡟⢧⣠⡌⠳⣄⢀⣿⡿⠃⠀⠀⠀⠀⠀⠙⣷⠞⠁ ⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⢰⡿⢹⢇⣿⠀⠀⠀⣿⠀⠸⡇⢸⣇⠛⠀⢻⣿⢿⠉⢻⣆⢻⡿⣦⣸⣿⡟⠁⠀⠀⠀⠀⣀⣤⠞⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣥⣤⢸⡟⠁⠀⠀⠻⠀⠀⠃⠀⠿⠀⠀⠘⢿⡟⠇⠰⠹⣧⣿⣿⣿⠋⢀⣴⠾⠷⠟⠛⠉⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⡶⣶⠶⠶⠶⠿⣯⣷⣶⣦⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢿⢟⡩⠔⠋⢹⡛⢲⣶⣶⣾⠧⣀⣀⣠⣯⣉⠻⠷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⡿⣷⡟⢧⣀⠴⠒⠉⠉⠉⠀⠀⠉⠙⡦⢤⠽⠷⣌⣉⣹⢯⡙⢻⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡾⣿⣾⡟⢀⠞⠁⠀⢀⣀⣀⣀⡀⠀⠀⢠⡇⠀⠀⢀⠒⠛⠒⠚⠬⣹⢣⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣾⡟⢹⠉⠙⠀⠤⠊⠉⠀⠐⠒⠺⠷⠶⠋⠀⠀⠀⠘⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢼⡁⣧⣟⣀⡟⠀⠀⠀⠀⢀⣀⡤⣄⡀⠀⠀⢀⡀⢀⠀⠂⢀⣽⡭⣕⢦⣸⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣟⣹⠁⡇⠀⡇⠀⠀⢀⣴⣯⣥⠤⠤⣅⠀⢀⣞⡠⠬⠧⣠⣯⣍⣉⠊⠳⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢈⣷⣻⠀⠇⠀⡇⠀⠀⢸⣧⣸⣿⣿⣷⡈⣂⠜⠉⠀⠀⠀⠘⣿⣿⣮⡧⢸⣏⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡴⠿⡏⢨⠞⠗⢛⡇⠀⠀⠀⠈⠉⠉⠉⣸⠋⠀⠀⠀⠀⠀⠀⠀⢹⡵⡄⠀⠸⣼⣿⠀⠀⠀⢀⡀⠀ ⠀⢀⡞⠀⠰⡗⡎⢀⡄⡸⠀⠀⠀⠀⠀⣀⣠⠤⠧⠄⠀⠤⣄⡀⠀⠀⣀⡼⠵⠃⣀⠀⠸⡅⠀⠀⣠⠟⢻⡀ ⠀⢸⠀⠀⠀⠻⣏⣉⣙⣃⡠⠤⠶⠚⠉⠁⠀⢀⣀⡠⡖⠀⠀⠉⠉⡉⠁⠱⣄⠠⡀⠉⠑⠻⠤⡤⠇⠀⢠⣇ ⠀⢸⣤⡀⠀⠀⠀⠀⠀⠠⠤⣀⣀⡰⠿⠽⠛⠓⠉⠉⠀⠀⠀⠀⣼⢯⠣⡀⠈⠓⠮⢗⣢⡤⢄⣀⠀⠀⢸⡿ ⠀⠀⠹⣭⡒⠦⢤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠄⠄⣰⠯⠭⣆⡉⠓⠦⠤⣄⣀⣀⡀⠀⠀⣠⠞⠁ ⠀⠀⢰⣷⡟⢳⡦⣄⣀⣉⠉⠉⠉⣉⣉⣉⣉⣡⣤⢶⢶⡚⠉⢹⠀⠀⡇⢹⡍⢳⡶⡦⣤⣀⣨⠿⠋⠀⠀⠀ ⠀⣠⣿⣇⣷⣰⠉⠑⣄⢧⠉⠉⠉⠉⠙⣞⡍⠉⠉⡏⠉⢩⠉⠉⢹⡊⠉⢯⢱⢷⡷⡇⢰⢼⣧⠀⠀⠀⠀⠀ ⢸⢻⣿⡿⡏⠘⣄⣀⣿⡜⠀⠀⠀⠀⠀⠘⢮⠲⢄⣇⣀⣸⣆⣠⠼⠧⠤⢼⡿⢞⣡⠇⢸⣀⣯⡄⠀⠀⠀⠀ ⢸⠀⢻⣆⣷⣤⡇⠉⢫⡹⡄⠀⠀⠀⠀⠀⠀⠙⠶⠦⠶⠷⠿⠛⠓⠒⠚⠛⠛⠛⠁⠀⢸⠀⡏⡇⠀⠀⠀⠀ ⠘⣆⠀⠻⣿⠈⠳⣀⣰⡷⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣹⠉⡏⠣⡀⠀⠀ ⠀⢝⢄⠀⠀⠠⣀⡇⠀⠙⡌⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢾⢸⠀⠙⣆⠀ ⠀⠈⠹⣕⢄⠀⠀⠙⢄⣀⡷⠾⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡷⡼⢸⠀⠀⠸⡄ ⠀⠀⠀⠈⠳⣝⠢⣀⠀⠈⠢⣄⠘⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠀⠉⠀⢸⡁⢹⠏⠀⠀⠈⣇ ⠀⠀⠀⠀⠀⠈⠢⡈⠑⢤⡀⠀⠑⠪⢷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⢫⡿⠋⠀⠀⣀⠼⢻ ⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠈⠑⠦⣀⠀⠀⠉⠉⠓⠲⠦⠤⣀⣀⠀⠀⢀⡠⠖⠋⠀⡷⠋⠀⠀⢀⡜⠁⢠⠏ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⣄⠀⠈⠙⠒⠦⢤⣀⣀⠀⠀⠀⠀⠉⠉⠓⠒⠒⠒⠋⠀⠀⠀⢀⠜⠀⣰⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢄⠀⠀⠀⠀⠀⠉⠉⠑⠒⠒⠤⠤⢤⣀⣀⡀⠀⠀⢀⡴⠋⠀⡴⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⡸⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠤⠚⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Hog,rider🧔🏿‍♂️,🐖
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⠀⠀⠀⠀⠀⢀⡠⠔⠒⢀⡴⠚⡇⠀⠑⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠐⠂⠤⣀⠀⠀⠀ ⠀⠀⠀⡠⠊⠀⠀⠀⣰⠋⠀⠀⢡⣠⠴⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠂⠀ ⠀⠀⠈⠀⠀⠀⠀⠀⡇⠀⠀⠀⠈⠀⠀⠀⢀⣀⣀⡤⠤⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠙⠲⣶⣶⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢀⣠⡴⢞⣻⡏⠁⠀⠀⠀⠀⠀⠀⠀⣠⠤⢴⡟⠉⠻⣆⠀⠈⠠⢄⡀⠀⠈⢿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠃⢀⣴⠟⠁⠈⣿⣿⣶⠶⣤⠀⠀⠀⠀⠀⠀⠙⢧⣀⠙⠦⠔⢉⡽⠀⠀⠀⠙⢦⣀⢸⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠁⠀⠀⢸⣿⣿⣿⣇⠈⠛⠿⣏⠉⠉⠛⣶⠶⢬⡳⢴⡊⠁⠀⠀⠀⠀⠀⠀⠙⢾⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⡷⣤⠀⠀⠀⣀⣿⣿⣿⣿⣷⣶⣤⣬⣿⣷⣶⣿⣧⣸⣿⣿⡟⠉⢉⡿⠉⠛⣶⣿⢳⣾⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⢁⡿⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠠⢿⣿⣤⠟⣠⡶⠚⣁⣠⠾⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠛⣾⣷⣿⣿⣿⣿⡿⠀⠀⠀⢰⡟⠋⠉⣽⣿⣿⣿⠏⠀⠀⠀⠙⣿⣿⣷⣶⣦⣄⣀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣇⣤⣤⣤⣉⣀⠀⠀⠈⠉⡹⠟⠀⠀⠀⠀⠀⠻⣿⡿⠛⡟⢻⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠖⠋⠉⠉⢻⣿⣿⡿⠘⣧⠘⣿⣿⣇⡀⢠⡞⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠁⢸⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⣼⣿⢹⣇⡀⠈⢳⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⣀⣀⣠⣄⠀⠀⠀⢈⣿⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⣼⣿⠃⠘⣿⣿⣿⣾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣶⣶⣾⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⣤⣤⣾⣿⡏⠀⠀⠈⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡟⢻⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⣼⡟⠋⠀⠀⠀⠁⠀⠈⠀⠀⠀⠀⠉⠛⠿⢿⣿⣿⣿⣯⣿⣿⣛⢻⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⣼⣿⣿⣿⣷⣶⣶⣶⣦⣤⣤⣤⣄⣀⣀⣀⣀⣀⣿⡟⠙⠛⠻⣿⣿⣋⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣬⡟⠛⣹⣿⣿⣿⣿⡀⠀⠀⠀⢰⣿⣿⣿⣿⡿⠛⠛⠛⠛⠛⠿⠿⠿⠿⢿⣿⣿⣿⣿⡇⠀⠀⠀⣧⣽⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⣸⣿⣷⣾⣿⣿⠿⢿⣿⣧⠀⠀⠀⢸⣏⠀⠈⠻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⡃⠀⠀⠀⣿⢿⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⢿⣿⣿⣿⣯⣴⣶⡿⢛⣿⣧⡀⠀⠈⢿⣧⡀⠀⠈⠙⠒⠢⠤⢄⣀⣀⡀⠀⣀⣸⡿⠙⣿⡇⠀⠀⢰⣷⠀⠀⠉⠳⣶⡄⠀⠀⠀ ⣆⠈⣿⣿⣿⣿⣯⣥⣶⣿⣿⡿⢳⣄⠀⠀⠉⠛⠒⠶⠄⠀⠀⠀⠀⠀⠀⠈⠅⠀⠀⠀⢀⣿⡇⠀⠀⣿⡈⠙⠿⣶⣤⡟⠀⠀⠀⠀ ⢹⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠋⡙⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠁⠀⣸⠃⠙⢦⠀⢈⣿⠁⠀⠀⠀⠀ ⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⠞⠀⠚⢙⣶⠤⣄⣀⣀⣀⣠⣤⣴⣶⣿⣶⣤⣀⠀⠀⠀⠀⠀⣰⠏⠰⣄⠰⣄⣾⢧⣀⠀⠀⠀⠀ ⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣴⡟⠁⣴⣿⢻⣿⣿⡏⠙⢸⣿⣿⣿⣿⣿⣿⣶⣤⣤⣾⠃⢠⡀⠘⢷⣿⠏⠀⠈⠓⢦⡀⢀ ⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣾⡿⠃⣾⢻⢿⠇⠀⢸⡏⢹⡟⣿⢻⠻⣿⣿⠿⣏⢶⣦⡙⣶⣿⠋⠀⠀⠀⠀⣠⠟⠁ ⠀⠀⠀⠀⠀⠉⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣧⣈⣾⠂⠀⠈⠇⠈⠃⢹⠀⠀⠻⡟⠇⠼⣧⣿⣿⡟⢁⣤⡶⠶⠖⠋⠁⠀⠀
⠀⠀⠀⠄⠂⡠⠊⠃⢈⡠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢄⠀ ⠀⠀⠀⠀⢰⠁⠀⠈⠁⣀⡠⠤⠄⠀⠀⠀⠀⣀⡀⠀⡀⠁⠲⣶⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡤⠒⢹⣿⣤⡀⠀⠀⠀⠦⡙⠄⠝⡢⠈⠐⢄⠘⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⡎⠀⠀⢻⣿⣧⣉⠻⣍⣉⣗⢺⣶⡥⠤⡤⢀⣀⣹⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡼⣠⣶⣿⠿⠿⢿⣿⣿⣿⣿⠟⠽⣧⣞⠤⠊⠥⣻⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣿⣿⣿⡟⣀⣀⡋⠀⠘⢻⠏⠀⠀⠸⣿⡿⡷⣶⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⢠⠊⠉⠉⣿⡿⠘⣜⣿⣧⣴⣥⣀⡀⠀⠀⠀⠀⠀⢿⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⢸⠀⢀⣼⠇⢻⣷⣾⣿⣿⡿⣿⣿⣿⣿⣿⣷⣶⣴⣿⢶⡄⠀⠀⠀⠀ ⠀⠀⠀⣠⣷⣿⡏⠀⠀⢈⡿⠛⠛⠛⠛⠛⠛⠙⠿⢿⣿⣿⣻⣿⢇⠀⠀⠀⠀ ⠀⢰⡿⢿⣿⣿⠁⠀⠀⣾⣿⣿⣿⣶⣶⣶⣦⣤⣤⣤⡏⠉⠙⢻⡅⠀⠀⠀⠀ ⢠⣿⣴⡿⠟⣿⣆⠀⠸⣏⠙⠿⡀⠀⠀⠀⠀⠈⢿⣿⡇⠀⢀⠿⢄⡀⠀⠀⠀ ⡌⢿⣿⣿⣛⣽⣿⢦⡀⠙⠦⠤⠀⠉⠀⠒⠂⠐⠛⢀⣷⠀⣼⠣⢤⣨⠇⠀⠀ ⢱⣿⣿⣿⣿⣿⡷⡋⠱⢄⣀⠀⠀⠀⣀⣀⣀⠀⠀⠈⠁⢠⢃⢑⢀⡏⠀⠀⠀ ⠈⢻⣿⣿⣿⣿⣿⣶⣤⠞⣵⢟⣿⡟⢻⣿⣿⣿⣶⣤⣴⠃⢄⢳⡿⠈⠑⢄⡀ ⠀⠀⠙⠻⠿⣿⣿⣿⣿⣾⣯⣼⣨⡇⠘⠇⠏⡟⠸⡿⠑⣽⣶⠟⣠⠤⠄⠊⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠿⢻⠉⠛⠓⠦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠋⠁⠀⢰⣒⣺⡭⠿⠇⠀⠀⠈⠙⠲⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠞⠁⠀⠀⠀⠀⠀⡁⣸⡄⢀⡀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠘⣗⣻⡭⠽⠇⠀⠀⠀⠀⠀⠀⠀⠈⠳⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⡯⠽⠿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣗⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣀⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣽⣿⠷⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡏⢠⣠⣶⣶⣿⡿⣿⣿⠿⣶⣶⣤⣁⣿⢰⣶⣷⣿⣿⢿⣿⢿⠿⣷⣶⣶⣸⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠸⣿⣿⣧⡸⢿⣿⣿⣴⣿⡿⠁⣀⣿⡄⢿⣿⣧⡹⣼⣿⣼⣴⣿⣿⠇⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠙⠻⣿⣿⣿⣿⣿⡿⣫⡴⠋⠀⠀⠉⢻⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⢀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⣠⡟⠻⣽⡀⠀⠀⠀⠀⣸⣿⠏⠛⢦⣄⠀⠀⠀⠀⠀⠘⢻⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⣠⠞⠁⣷⣦⣈⣉⡛⠓⣚⣋⣁⣠⠾⡇⠀⠙⠳⣄⠀⠀⠀⠀⣿⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⣠⡞⠁⠀⠀⠘⣦⣘⣉⠉⣿⣉⣹⣿⣿⡾⠃⠀⠀⠀⠙⣦⠀⠀⠀⠘⣇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⢻⣇⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⢀⣾⠀⠀⠀⠀⠹⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⢸⣯⠓⢦⣀⡀⠀⠀⠉⠻⠾⡷⠞⠃⠀⠀⠀⣀⡤⠶⢛⣿⠀⠀⠀⠀⢀⣽⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣄⡀⠀⠀⢸⡏⠀⠀⠈⠉⠓⠒⠒⠒⠒⠒⠒⠒⠒⠒⠉⠁⠀⠀⠀⢸⡄⠀⢀⣴⠟⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⣤⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⠴⣏⠀⠀⠀⠀⠀ ⠀⠀⢀⡤⠔⠚⠛⠉⠉⠉⠉⠙⠓⢦⣄⠀⠀⢰⠏⠀⠀⠀⠀⢠⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡄⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀ ⣴⡟⠉⣀⠤⠤⠖⠒⠒⠒⠒⠦⠤⢄⣀⣹⠶⣿⣀⣀⣀⣀⣠⣼⠁⢀⠤⠤⠤⠴⠒⠦⠤⠄⠀⢳⣄⣀⣀⣀⡠⠤⠴⠛⣇⠀⠀⠀⠀ ⠈⠹⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡽⠃⢰⠃⠀⠀⠀⠀⢰⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠐⢹⡇⠀⠀⠀ ⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⣼⠀⠀⠀⠀⠀⢸⣿⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡤⣿⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀ ⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⣲⠁⠀⢠⡟⠀⠀⠀⠀⠀⡘⠿⡇⠘⡯⣿⡯⠿⠿⢿⡏⣇⣀⣞⡉⠀⠀⠀⠀⠀⠀⠀⡸⠃⠀⠀⠀ ⠀⠀⠀⣼⠒⠒⠒⠒⠒⠒⠒⠲⢿⣤⣤⠟⠁⠀⠀⣠⠶⣟⠉⢻⡟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⡇⠀⠀⠀⠀⠀⠀⢠⡟⠛⠛⣿⡀ ⠀⠀⠘⣏⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⢸⡀⠀⠉⠙⣷⠀⢸⡆⣸⣧⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡏⠀⢰⠀⠀⡦⢀⣼⣥⣤⣵⡿⠁ ⠀⠀⠀⢻⡤⠤⠤⠤⠤⠤⠴⠶⢾⡟⠉⠛⣶⠤⢖⡇⠀⣸⠗⠛⣀⡀⠀⠀⠀⠀⠀⠀⠀⣀⣸⣿⣥⣤⣿⣤⣾⡿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠉⠓⠋⢿⣛⡁⠀⢸⡇⠙⣧⠀⠀⠀⠀⠀⠀⣯⠈⣇⣀⣀⡠⢴⠛⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⢰⣏⣉⠋⠙⠃⠀⠛⠒⣶⠒⠚⣟⠙⠻⠀⠈⢉⣁⣀⡼⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⠿⢦⣀⣀⣀⠀⠀⠀⣀⣀⣀⠤⠾⠳⡄⠀⢀⣮⣈⣉⣉⠉⠉⠉⠛⠛⡇⠀⠀⢹⡍⠉⠉⠉⠉⠉⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢧⣄⡀⠉⠉⠉⠉⠉⠉⠉⠀⣀⡤⠞⢡⡶⠋⠁⠀⠈⠉⠁⠀⠀⠀⢸⠁⠀⠀⠈⣇⠀⠀⠀⠀⠰⠒⠒⠛⠻⠶⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠛⠓⠒⠒⠒⠚⠛⠉⠁⠀⠀⣿⡤⣤⣄⣀⣀⣀⣀⣀⣀⣀⣼⡇⠀⠀⠀⢹⣦⣄⣀⣀⣀⣀⣀⣀⣀⣠⣿⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠒⠒⠒⠒⠒⠛⠛⠀⠀⠀⠀⠈⠛⠓⠒⠒⠒⠒⠒⠒⠚⠛⠛⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣿⡿⢿⣿⡿⠿⠛⠛⠻⢿⣾⣿⣿⣿⣶⣶⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⢟⣉⡴⠚⠉⢹⡟⢳⠤⢤⡤⠴⣿⣄⣀⠀⢀⢨⣟⠛⠻⠿⠦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣯⢾⣿⡋⠀⣀⣠⠴⠿⠛⠛⠋⠉⠉⠛⠻⢦⡉⠉⠙⢿⣯⡉⠛⠛⣻⡟⠻⠿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⣿⣿⠏⠀⣿⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠉⠉⠋⠉⢉⣛⣒⣒⣛⣹⠳⢤⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⠟⣿⣷⣿⣏⣀⡞⠁⠀⠀⢀⣤⡴⠶⠦⣤⣀⠀⠀⠀⣾⠀⠀⠀⠀⢸⠁⠀⠀⠀⠉⠛⢲⣏⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠻⣧⢿⠁⣿⠀⢸⠃⠀⠴⠛⠁⠀⠀⠘⠛⠛⠒⠒⠶⠛⠁⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⠁⢸⣄⡇⠀⡸⠃⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠘⢄⠀⢈⣭⣙⡛⢦⡄⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⣳⡾⢻⡏⠉⢧⠀⠀⠀⠀⢀⣴⠾⣫⣍⣉⠙⠂⠀⠀⢀⡴⠃⢀⣹⡄⠀⣾⡿⠓⠿⣍⡳⣝⣾⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣗⣾⠁⢀⡇⠀⡾⠀⠀⠀⠀⣿⠟⢻⣻⣯⣍⡟⠶⡀⠀⡾⣦⠞⠋⠉⠛⢾⣿⣿⣖⢦⣄⠀⢸⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⣾⣽⠀⢸⠁⢀⣧⠀⠀⠀⠀⢿⣦⣽⣿⣿⣿⣧⣤⣹⠔⠋⠀⠀⠀⠀⠀⠈⢻⣿⡿⠷⠿⠂⡼⢥⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣤⠾⢿⠏⠀⡷⢻⠛⠛⡿⠀⠀⠀⠀⠀⠉⠉⠩⠉⠀⡸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠻⡄⠀⠀⢧⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣼⠃⠀⣼⠦⡾⠀⢸⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⣀⣸⣃⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⣀⣿⣰⠇⠀⠀⠀⢹⡟⠀⠀⠀⠀⣴⠿⣧⠀⠀ ⠀⠀⣸⠃⠀⠀⠉⣧⣧⣤⣿⣤⡏⠀⠀⠀⢀⣀⣤⠤⠒⠛⠉⠉⠉⠉⢉⣉⠉⠙⠦⢤⣤⡤⠖⢫⡉⠁⠀⠐⠢⢤⣄⣻⡀⠀⠀⣶⠃⠀⢸⡆⠀ ⠀⠠⣯⠀⠀⠀⠀⠈⠓⠧⠤⠼⠖⠒⠛⠋⠉⠀⢀⣀⣀⣠⡤⢤⣔⣾⠭⠀⠀⠀⠀⠀⢠⣤⡀⠀⠙⣤⠈⢦⣀⠀⠀⠈⠙⠛⠛⠁⠀⠀⠘⣧⡀ ⠀⠀⣿⣴⡄⠀⠀⠀⠀⠀⠀⠀⠠⠤⢄⣀⣀⡨⠭⠿⠷⠒⠋⠉⠉⠀⠀⠀⠀⠀⠀⢠⡏⣧⠳⣄⠀⠈⠙⠲⠯⢝⣲⡦⠤⣀⣀⠀⠀⠀⣀⣿⠇ ⠀⠀⠀⠻⣯⡑⠶⢤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⢰⣾⣯⣽⣆⠈⠙⠶⠤⣄⣀⣀⠀⠀⠀⠀⠀⠀⢀⣰⠞⠁⠀ ⠀⠀⠀⢠⣾⣹⡶⣤⡀⠉⠛⠓⠒⠒⠦⠤⠤⠤⠴⠒⠒⠒⠒⠛⢛⣏⣩⣤⡤⠖⠛⡇⠀⠐⣿⠻⡶⠤⣤⣄⣈⡩⠙⠛⠛⢲⣦⠴⠛⠁⠀⠀⠀ ⠀⠀⠀⣼⣿⢻⡁⢸⠯⢿⡛⢲⡖⠤⠤⠤⠤⠴⠶⣶⣾⣿⣿⣿⣿⣥⣧⣿⣤⣤⣤⣧⣄⣠⣿⣤⣿⣇⣜⢧⢸⠉⢛⢻⣿⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⣀⣴⣿⣿⣸⡷⣸⠀⠀⠹⣆⢿⠀⠀⠀⠀⠀⠀⠘⣏⢧⡀⠀⢹⡇⠀⠀⣾⠀⠀⠀⢨⠀⠀⢘⡇⣹⢻⡿⢻⠀⠸⠺⣿⣇⠀⠀⠀⠀⠀⠀⠀ ⢰⡟⢹⣿⣿⣿⠁⠘⣦⡀⣠⣏⡜⠀⠀⠀⠀⠀⠀⠀⠘⢧⡑⢦⣼⡇⠀⠀⣿⣀⣀⣤⣾⣧⣤⣤⣷⣼⡞⢡⡾⠀⢸⠀⢹⣽⠀⠀⠀⠀⠀⠀⠀ ⢸⡀⠘⣿⡇⢸⣆⣀⣿⠉⠻⣏⢹⡄⠀⠀⠀⠀⠀⠀⠀⠈⠙⢦⣤⣍⣩⣽⣯⣿⠾⠿⠧⠧⠼⠷⠿⠿⠾⠟⠁⠀⢸⠉⢹⢹⡀⠀⠀⠀⠀⠀⠀ ⠸⣧⠀⠘⢷⣿⡟⠻⣷⠀⠀⢹⣆⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢲⡾⢾⠷⣄⠀⠀⠀⠀⠀ ⠀⠹⣆⠀⠀⠻⠇⠀⠈⣷⠶⠾⣏⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣅⣸⣇⠈⢳⡄⠀⠀⠀ ⠀⠐⣞⢆⠀⠀⠀⠀⢄⣿⠀⠀⠈⢧⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠻⡏⢸⠀⠀⠹⡄⠀⠀ ⠀⠀⠈⢣⡕⢤⡀⠀⠀⠘⠧⣀⠀⣼⠴⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣄⡿⢸⠀⠀⠀⢱⡀⠀ ⠀⠀⠀⠀⠈⠧⡈⠳⣄⠀⠀⠈⠙⢥⡀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠖⠃⠀⢸⡏⠘⣦⠟⠀⠀⠀⠸⡇⠀ ⠀⠀⠀⠀⠀⠀⠙⢶⡈⠑⠦⣄⠀⠀⠙⠲⣄⡉⢶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⣧⣤⠟⠀⠀⠀⠀⣸⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠈⠓⢦⣀⠀⠀⠉⠒⠿⢶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢾⡏⢰⡿⠋⠀⠀⠀⣠⠔⠋⣹⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠈⠓⠦⣄⠀⠀⠀⠀⠈⠉⠛⠓⠒⠦⢤⣤⣀⡀⠀⠀⢀⣤⠴⠛⠉⠀⢸⡿⠃⠀⠀⠀⢀⡞⠁⠀⣰⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣄⠀⠀⠈⠙⠳⠦⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⠶⠶⠶⠶⠞⠋⠀⠀⠀⠀⢀⡾⠀⢀⡴⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠈⠉⠉⠒⠶⠶⠤⢄⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠀⢀⡾⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠒⠲⠤⠤⣤⣄⣀⣠⠞⠁⠀⢀⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠶⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠔⠈⠤⠶⠌⠑⠢⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠊⠀⠀⠀⠲⡗⠂⠀⠀⠈⠢⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠁⠀⠀⠀⠀⠒⡗⠂⠀⠀⠀⠀⢱⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠒⡗⡆⠀⠀⠀⠀⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⢀⣤⣤⣤⢤⣘⡇⣥⣤⣤⣤⣄⣸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠘⠷⣾⣿⣟⠕⠓⢿⣾⣿⡿⠋⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⢀⡄⢪⢝⣒⣐⣪⡴⠑⢄⠀⠸⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⡘⠀⢣⡀⠀⠻⣶⣶⡟⠁⠀⣠⡆⠀⢣⠀ ⠀⠀⠀⠀⠀⠀⠀⠣⣀⡘⠈⠁⠒⠒⠓⠒⠂⠁⠈⢇⡠⠊⠀ ⢀⠤⢂⡈⠉⣁⡒⢄⡜⠁⠀⡆⢀⣀⢀⡀⢢⠀⠀⣀⢵⠀⠀ ⠈⢋⠀⠀⠀⠀⠠⠁⠁⠀⢰⣇⡀⠀⠀⢀⣈⡄⠀⠀⠈⡆⠀ ⠀⢈⠤⠤⠤⠤⣇⡜⢀⡠⡄⡧⠿⠿⠭⠿⠾⠀⠀⠀⢠⠥⡄ ⠀⠘⠤⠤⠤⠤⠗⢣⣤⣇⡠⣋⡀⠀⠀⢀⣶⠠⢧⡆⠋⠉⠁ ⠀⢰⠀⠀⠀⠀⠐⡄⠀⡱⢒⣃⣑⡀⠰⣚⣘⠂⠽⡀⠀⠀⠀ ⠀⠣⠍⡀⣀⣀⠥⢊⡖⠉⠀⠀⠀⡇⠀⣇⠀⠀⠒⠓⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠛⠁⠀⠈⠙⠛⠛⠛⠉⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⣹⣿⣭⡄⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠿⠃⢀⠴⠆⣄⠙⠛⠿⠿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⡟⣣⣀⠀⠀⣿⠀⠀⢸⠀⢀⣴⣶⡽⣧⣀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠿⠛⠛⣿⡽⠛⣻⣷⠀⢹⠀⠀⠘⣆⣾⠿⠏⠁⣿⠋⠉⠉⠛⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣤⡶⠶⣶⣄⠀⠀⠀⢀⣴⡿⠁⠀⠀⣠⣼⣇⣀⣩⣼⠗⠊⠀⠀⠀⠋⠙⣿⣦⣴⣿⣷⣤⡀⠀⠈⠻⣧⡀⠀⠀⣠⡶⠟⠛⢷⣦ ⢸⣏⠀⠀⠀⠹⣷⣀⣴⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⡷⣄⠀⠀⠘⠻⣦⣼⡏⠀⠀⠀⢀⣿ ⠈⠻⣦⡀⠀⠀⠹⠛⠉⠀⠀⢀⡜⠉⠹⣿⠿⠿⢿⠿⠿⠿⠿⠿⢿⠟⠛⠛⠛⠛⡏⠉⢹⡟⠀⠈⠣⠀⠀⠀⠈⠙⠀⠀⢀⣴⠟⠋ ⠀⠀⢘⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⡄⠀⢸⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⡇⠀⢸⡿⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣏⠀⠀ ⠀⢀⣾⢯⠀⠀⠀⠀⠀⠀⢀⣠⠴⠋⢙⣿⣷⣄⠀⡆⠀⠀⠀⠀⢸⡄⠀⠀⠀⢀⣧⣴⣿⣷⡀⠈⠒⢦⡀⠀⠀⠀⠀⠀⣸⢿⣦⠀ ⢀⣿⡏⠈⢦⡀⠀⠀⢀⠔⠉⠀⢀⣰⣿⣿⣿⣿⣿⣷⣶⣤⣤⣤⣬⣧⣴⣶⣾⣿⣿⣿⣿⣿⣿⣦⡀⠀⠈⠦⡀⠀⢀⡴⠁⠀⣿⣆ ⣿⡏⢧⠀⠀⠙⢦⣜⣁⣠⣤⣶⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣷⡶⠶⠖⢚⠉⠀⠀⡼⠈⣿ ⢿⡇⠈⠳⣄⠀⠎⠀⢀⡴⣿⣿⡏⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠈⣿⣿⡟⢦⣀⣈⣃⡤⠎⠁⢠⡿ ⠘⣿⣄⠀⣨⠉⠉⠉⢁⣼⢿⡟⠀⠀⠀⠀⠀⠉⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠁⠀⠀⠀⠀⠸⣟⢿⣦⡀⠀⠀⠢⣀⣴⡿⠃ ⠀⠈⠛⠿⣧⣤⣴⡶⠟⢁⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠉⠛⠿⠶⠾⠛⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣾⢿⡻⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⡿⢛⠭⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡀⣴⠀⣴⣾⣿⡫⠕⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⠛⢄⢀⢹⣶⠯⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣦⡱⣼⣾⡶⠝⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢄⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠟⣹⣤⡬⣿⣿⠀⠀⢀⠀⠀⠙⢄⣀⠤⣴⡆⣔⡺⠗⢼⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠻⢿⡿⠛⢹⡗⢰⢥⣿⡍⢆⢸⡓⠛⠿⣿⣿⣷⡀⣌⣷⡱⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⢧⣶⣿⣻⣿⢴⣀⡀⠀⡈⡶⠀⠀⠀⠀⠙⣿⢃⢹⡗⢜⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⢻⣿⣿⡻⢿⡆⢉⠀⠀⣶⡄⠀⣼⠧⣵⣿⠛⠙⡛⠆⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡿⣴⠂⠀⢳⣼⡦⡔⢺⠙⢋⣽⣷⣿⠛⣿⡿⠁⡀⢻⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣅⢫⡷⢾⣿⡛⢇⢱⣨⣷⣿⣿⡟⠻⣆⡼⠣⡢⠸⡀⢻⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣦⣯⣽⣷⣾⣿⣶⣿⣿⣏⣱⣶⠟⠙⢆⠈⠄⠈⣰⢃ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⡙⢿⣿⠿⠟⣿⣿⣿⣿⠿⡏⠀⠱⠀⠀⠣⡀⢀⠇⡎ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢺⣿⣌⣤⣾⣿⣿⣿⣄⠘⢦⠀⠠⡀⠀⢘⡞⡸⡷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣦⡀⠱⣄⣡⢞⣫⢿⣥⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣾⡶⣟⣵⣿⡧⠛⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣻⠿⠿⣿⣿⡿⠟⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢡⣀⠏⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⡟⠝⢛⣫⣤⣽⡍⣉⣽⣓⣦⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣴⣿⠏⡷⠊⠁⠀⠀⠀⢹⠐⠉⠶⠞⢎⣽⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⢾⠙⢹⠀⠂⠉⠘⠓⠒⠃⠀⠈⠀⠀⣀⠹⡀⠀⠀⠀⠀ ⠀⠀⠀⢸⡞⠃⢢⠀⢀⣔⣮⢅⡀⢠⡀⠦⣰⣛⡳⢷⡇⠀⠀⠀⠀ ⠀⠀⣀⣽⢃⡄⣤⠀⠘⠾⠿⢷⠖⠉⠀⠀⠸⣟⠛⢜⡆⠀⠀⠀⠀ ⠀⠰⠁⢖⣂⣄⠆⠀⢀⡀⠤⠦⠀⠤⢀⣀⠠⠗⠀⣈⡇⠀⡰⢳⠀ ⠀⣧⡀⠈⠑⠚⠀⣉⣡⠤⠶⠖⠋⠀⠀⣴⢄⠑⠵⣤⣈⣈⠀⢸⡆ ⠀⠈⣿⣔⡂⠤⠤⠀⠀⠠⠤⢤⣀⠂⢼⠛⡦⣁⣐⡢⠤⢄⠠⠊⠀ ⠀⣰⣿⣤⠙⢽⡄⠀⠈⢻⠛⢻⠚⠒⠚⡒⠓⢳⣵⠉⢽⡅⠀⠀⠀ ⢸⠹⡟⣄⡖⢖⠇⠀⠀⠀⠛⠜⣒⠾⠶⠽⠶⠿⠗⠀⠒⣇⠀⠀⠀ ⠈⠄⠙⠋⢣⠼⡯⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⣩⠠⠀⠀ ⠀⠙⢦⠀⠘⠄⡰⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣯⣧⠀⢱⠀ ⠀⠀⠀⠸⠑⠄⡀⠢⢱⣀⠀⠀⠀⠀⠀⠀⠀⠈⠀⡠⣧⠇⠀⡰⡄ ⠀⠀⠀⠀⠈⠢⡈⠐⠄⣈⠁⠀⠒⠠⠄⢀⣠⣒⣉⠗⠁⢀⠊⡰⠁ ⠀⠀⠀⠀⠀⠀⠈⠰⢀⠀⠉⠀⠒⠂⠤⠄⢀⣀⠀⠀⡠⠊⡔⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠢⢀⡀⠀⠀⠀⠀⠀⠀⠉⣀⠜⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣾⢿⡁⠀⠈⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠛⠓⢦⠀⠀⠀⣏⠀⠀⠀⠙⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣾⡟⠁⠀⣇⠀⠀⢀⣷⠶⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⣿⡃⠀⠀⠉⡇⠀⠀⠀⠉⠑⠢⣤⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡏⢿⣃⣤⣀⠻⠖⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢤⣤⠼⠁⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣳⠚⢹⠏⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⢀⠞⠉⠢⣄⠀⠀ ⠀⠀⡃⢰⢹⣆⢰⡿⠀⠀⠀⠀⢀⣀⣤⣤⣶⡶⠶⠚⠛⠛⠋⠉⠉⠉⠉⠉⠉⠙⠓⠲⠶⣶⡦⢤⣸⠃⠀⠀⠀⠀⢠⠂⠀⠀⠀⡽⠀⠀ ⠀⠀⢇⠘⡮⣻⡿⠁⢀⣤⣶⡿⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⡽⠀⠀⠀⠀⢰⠃⠀⠀⡠⠚⠀⠀⠀ ⠀⠀⠸⡀⢣⠀⢠⣾⣿⡿⠋⠀⠀⢀⡠⠤⠤⣦⡶⠒⠲⠶⣤⣤⣤⣀⣀⣀⣠⣤⣤⣶⣶⣦⡀⡟⠁⠀⠀⠀⠀⠈⠒⠴⠊⠀⠀⠀⠀⠀ ⠀⠀⠀⢧⢸⣶⣿⣿⠛⠀⠀⠀⣴⠋⠀⠀⣴⣿⡇⠀⠀⠀⢸⣧⠄⠀⠀⠀⠀⠘⢧⣌⣿⣿⣷⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢾⣿⠿⡇⠀⠀⠀⠀⡇⠀⠀⠀⠙⢿⣿⣶⣶⣶⡿⠋⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⠛⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⡆⣇⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⢀⣄⣀⣀⠀⠀⠀⢀⡄⠈⠉⠁⠀⢇⣠⡤⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⢃⣸⣶⠀⠀⠀⠸⠀⠀⠀⠀⠀⢠⠔⠋⠉⠉⠀⠈⠉⠉⠉⠉⠉⠉⠀⠀⠉⠑⡄⢸⢹⢡⣀⠀⠉⠑⢦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣿⠞⠁⠀⠸⡄⠀⠀⢰⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⢸⠀⠈⠙⠲⣄⠀⢹⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⡏⠀⠀⠀⠀⡇⠀⠀⠈⡄⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢰⠒⠒⠒⠒⠒⠒⠒⠿⡄⠀⠀⢱⠘⣆⠀⠀⠀⠘⢇⢸⣇⡀⠀⠀⠀ ⠀⠀⠀⠀⢳⡀⠀⠀⠀⣇⠀⠀⠘⡇⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠹⠀⠀⠈⡆⢻⠀⠀⠀⠀⠀⣿⠛⠂⠀⠀⠀ ⠀⠀⠀⠀⠄⠿⠶⣤⣤⣿⡀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠸⡆⠀⠀⢀⣤⠿⠷⣤⡀⠀⠀ ⠀⠀⢀⡠⠔⠒⠉⠉⠁⠘⠷⣄⠀⠀⠈⠑⠀⠁⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⢳⠀⠀⣾⠁⠀⠀⠈⣿⣆⣀ ⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⢸⣄⣼⣿⠀⠀⢀⣼⠿⠿⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⢸⡿⣿⣿⡆⠀⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⡀⠀⠀⠀⣠⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⠀⣀⣾⠁⠹⣿⣷⡄⠀⠀⠀⠀⠀ ⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡿⢿⣿⣿⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣤⣤⣿⣿⣿⣆⠀⠀⠀⠀ ⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠈⠉⠛⠛⠿⢶⣄⡀⠤⠤⠤⠤⠴⠶⠒⠚⢻⣿⣿⣿⣏⠉⠛⠯⣽⣿⠀⠀⠀⠀ ⠉⠉⠉⠉⠲⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣅⣀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠳⣦⣀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⡄⠀⠀⠈⢻⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠑⠦⣀⠀⠀⠀⠀⣠⡿⠋⠉⠙⠛⠶⢦⣄⣀⠀⠀⠀⠀⠀⢀⣿⣿⣶⣤⡀⠀⠀⠀⢿⣿⣿⣷⠀⠀⠀⠀⠹⡄⠀⠀ ⠀⠀⠀⠀⠰⠒⠢⢤⣀⠀⠙⣶⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠷⣶⣤⣤⣼⣿⣿⣿⣿⣿⣷⣦⣀⣸⣿⣿⣿⡄⠀⠀⠀⠀⠙⢦⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⣿⡛⠛⠛⠛⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⡀⠀⠀⠀⠀⢹⠒⠒⠒⠒⠒⢶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⣿⠋⠸⡇⠀⠀⠀⠀⢿⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠁⠀⠀⢹⢧⠀⠀⠀⠸⠦⣀⣀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⢾⣿⠁⠀⠀⢹⠀⠀⠀⣀⣸⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡏⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠈⠙⠲⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⡃⢿⡇⣀⣀⡄⠼⣧⠖⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣤⣀⣀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⣇⢸⠟⣿⡟⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠶⠦⣄⠀⠀⠀⠀ ⠀⠀⢠⠟⠀⢰⡏⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠈⣳⡄⠀⠀ ⠀⠀⢸⠀⢸⠈⣿⣆⢸⣿⠀⠀⠀⠀⠀⢀⣀⣠⣴⣶⣾⡿⠿⠿⠛⠋⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠾⣯⣙⠶⢦⣼⠇⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⢀⡴⠃⠀⠀ ⠀⠀⠸⡆⠘⣧⣙⣿⣿⠋⠀⣀⣤⣴⣿⣿⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⠀⣽⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⡠⠚⠁⠀⠀⠀ ⠀⠀⠀⢿⠀⢿⠈⠉⠁⣠⣾⣿⣿⡟⠉⠀⠀⠀⠀⠀⠀⣀⡀⣀⣤⣤⣄⣀⣀⠀⣀⡀⠀⠀⠀⠀⠀⠀⢀⠀⣀⣠⣤⡀⠀⢸⡿⠋⠀⠀⠀⠀⠀⠘⠧⣄⣀⡤⠚⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⡇⠈⣇⣠⣾⣿⣿⡟⠋⠀⠀⠀⢀⡴⠒⠋⠉⠉⣿⣿⠁⠀⠈⠉⠙⢿⡝⠛⠓⠒⠒⠒⠚⠛⢻⡟⠻⢻⣿⣿⣦⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢱⠀⣿⣿⣿⣿⠌⠁⠀⠀⠀⢀⡿⠀⠀⠀⠀⣾⣿⣿⡀⠀⠀⠀⠀⢸⣷⡞⠀⠀⠀⠀⠀⠀⠉⠻⣶⣸⣿⣿⣿⣇⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢳⣿⣿⢧⡟⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠿⢿⣿⣿⣶⣶⣶⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⡟⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⡄⣇⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠈⠙⠛⠋⠀⠘⡇⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣇⠸⣄⡀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡤⠤⠤⠔⠛⠶⠶⠶⠤⠤⠤⠤⠴⠞⠀⠀⠤⣤⡀⠀⢱⠞⡝⠉⠉⠓⠲⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡴⠋⣡⡤⠿⣿⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⡄⠘⣸⡇⢦⣤⡀⠀⠀⠉⠓⢦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡿⡵⠋⠁⠀⠀⢹⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⢹⡇⠀⠈⠉⠓⢦⡀⠀⠘⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣽⠃⠀⠀⠀⠀⢸⡄⠀⠀⠀⠘⡀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⣤⠤⠤⠤⠤⠤⠤⠤⠤⠤⣿⠀⠀⠀⠀⢳⠘⣇⠀⠀⠀⠀⠀⢻⣆⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢰⡅⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢷⠀⠀⠀⠘⡄⢸⡆⠀⠀⠀⠀⠀⠙⣴⣯⣾⡁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣧⣄⠀⠀⠀⢸⣧⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⢷⠈⣧⠀⠀⠀⠀⠀⠀⢿⡏⠉⠉⠉⠉⠉⠉ ⠀⠀⠀⠀⠀⠔⢸⣿⣷⣤⣤⣌⣿⠀⠀⠀⠀⢻⣆⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡀⠀⠀⠘⠀⢿⡀⠀⠀⠀⢘⣤⠾⠿⢿⣤⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⡤⠶⠖⠚⠉⠉⠟⢷⡄⠀⠀⠀⠉⠓⠶⠶⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠘⣇⠀⠀⢀⡟⠁⠀⠀⠀⠙⣷⣦⠀⠀ ⠀⣀⠤⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⢻⠀⠠⣼⡇⠀⠀⠀⠀⢰⣿⣿⣿⣿ ⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⢸⣷⣴⣿⣷⠀⠀⢀⡤⠟⠛⠉⠉⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⢸⡟⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣄⠀⠀⠀⠀⠀⠀⣠⣶⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡟⠀⠀⢀⣼⠃⠘⢿⣿⣷⡆⠀⠀⠀⠀⠀⠀⠀ ⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣤⣤⣤⣾⣾⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣶⣶⣿⣷⠀⠀⢸⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀ ⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠙⠻⠿⠿⣿⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣽⣿⣿⣿⣿⡷⣶⣾⣿⣿⠿⣿⣦⠀⠀⠀⠀⠀ ⣿⣿⣦⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡗⠀⠀⠀⠀⠀⠈⠉⠛⠻⠿⣷⣦⡀⠠⠤⠶⠶⠖⠒⠒⠒⠚⠋⠙⢹⣿⣿⣿⣿⣷⠀⠈⠙⠳⢤⣿⣿⠀⠀⠀⠀⠀ ⠛⠉⠉⠛⠛⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠳⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣇⠀⠀⠀⠀⠙⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠿⠻⠿⢷⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣿⣶⣦⣀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⡄⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠦⣀⡀⢀⣀⣄⣶⡿⠋⠀⠀⠀⠀⠈⠉⠛⠿⢷⣦⣤⣀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠘⣿⣯⣿⣿⣇⠀⠀⠀⠀⠀⠘⢷⡀⠀⠀ ⠀⠀⠀⠀⠀⠨⠍⠛⠓⠦⣤⡀⢀⢀⣹⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣙⠛⠿⣷⣶⣦⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠻⢦⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠺⢻⢉⡓⠢⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠔⠋⠀⠀⠯⢽⠟⠛⠀⠀⠈⠑⢤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠖⠁⠀⠀⠀⠀⣤⢼⣦⣦⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⠀⠀⠉⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠾⢿⡟⠛⠂⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⣀⣘⣇⣀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⡏⢚⠁⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⢀⠀⠀⠰⡾⡭⠟⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣦⣾⡾⢿⣻⣿⣟⣿⡷⠆⡇⢿⣿⡿⣿⣿⢻⢻⣿⡶⢿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠹⣿⣷⣬⣿⣿⣿⠟⡡⠖⠻⢼⣿⣷⣽⣾⣾⣿⡿⠃⢸⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠉⠉⠉⣹⢿⣟⠀⠀⠀⢀⣿⠟⢯⣍⠉⠁⠀⠀⠸⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢀⡤⠊⢰⡦⣍⣉⣁⣘⣉⣤⢾⠇⠈⠳⡄⠀⠀⠰⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⢰⡏⠀⠀⠈⢷⣾⣤⣽⣤⣿⣿⠏⠀⠀⠀⢘⡆⠀⠀⢹⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⣗⢤⡀⠀⠀⠙⠿⣻⣟⠿⠁⠀⠀⢀⡠⢾⡇⠀⠀⠀⣳⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡀⠀⢀⡟⠀⠈⠙⠒⠲⠦⠬⠤⠤⠐⠒⠊⠁⠀⠈⣇⠀⢀⡾⠋⠀ ⠀⠀⠀⠀⣀⣀⣀⣀⣀⡀⠀⠀⠈⢲⠼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠙⠚⣇⠀⠀⠀ ⣠⠴⠊⢉⣀⣀⣀⣀⣀⡈⠑⢢⣀⡟⠀⠀⠀⢠⡟⠀⢀⣀⣀⣀⣀⠀⠹⡄⠀⠀⠀⢀⣠⢼⡄⠀⠀ ⠛⣶⠊⠉⠀⠀⠀⠀⠀⠈⢑⡞⢹⠏⠉⠉⠉⣹⡇⠈⠁⠀⠀⠀⠀⠉⠀⢿⠉⠉⠉⠉⠀⠸⣧⠀⠀ ⠀⠘⡆⠀⠀⠀⠀⠀⠀⢀⡞⠀⣼⠀⠀⠀⠀⣿⡧⢤⣀⣀⣀⣀⣀⣠⠤⢼⡆⠀⠀⠀⠀⠀⣿⠀⠀ ⠀⠀⢻⣀⣀⣀⣀⣀⣀⣼⠀⢰⠏⠀⠀⢀⣠⢭⣧⣸⣷⣿⣿⣭⣷⣿⣴⣧⠀⠀⠀⠀⠀⢠⣯⣀⣄ ⠀⠠⡟⠀⠀⠀⠀⠀⠈⢹⡏⡏⠀⠒⢶⡉⢳⠀⣧⣀⣀⣀⣀⣀⣀⣀⣀⣸⠀⢠⠀⣀⠀⣼⣀⣠⣿ ⠀⠀⢻⠤⠤⠤⠤⠤⠤⢼⡗⠛⣦⠤⣾⠀⣸⠜⣉⡉⠉⠉⠉⠉⠉⢉⣹⣏⣠⣞⣠⡿⠚⠉⠉⠁⠀ ⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⢧⠀⠈⠙⠹⣭⣁⣀⣇⠙⣇⠀⠀⢀⣀⣻⠘⣇⡠⠴⢾⠃⠀⠀⠀⠀⠀ ⠀⣰⡃⠀⠀⠀⠀⠀⠀⠀⢈⣧⡀⠀⢰⠗⠤⠤⠥⠤⣭⣽⠉⠙⡧⠭⠤⠤⠤⠐⠻⡆⠀⠀⠀⠀⠀ ⠐⢧⣈⠙⠒⠒⠒⠒⠒⠉⢁⡤⢣⡴⠛⠉⠐⠒⠀⠀⠀⡏⠀⠀⢻⠀⠀⠀⠠⠤⠴⠿⢤⡀⠀⠀⠀ ⠀⠀⠉⠑⠒⠒⠒⠒⠒⠋⠁⠀⣾⣤⡤⣀⣀⣀⣀⣀⣠⣷⠀⠀⠸⣧⣄⣀⣀⣀⣀⣀⣨⣷⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀
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⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠭⠛⠉⠉⠉⠙⠛⢿⣦⠗⠲⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢓⣄⠀⠀⠈⡆⠀⠀⠀⠙⢦⣮⡈⣅ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡋⠫⠀⠚⠷⠒⠊⠁⢦⣄⠀⠀⠀⠙⣿⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠐⠁⣀⣄⡉⠳⣄⠀⠀⠘⢷ ⠀⠀⠀⠀⠀⠀⠀⢀⠔⣂⣤⣀⣲⡲⡞⠈⠒⠺⢥⣠⠘⡁⢠⣽⡄⠹⣦⡤⠀⣜ ⠀⠀⠀⠀⠀⢀⣶⣫⣾⠟⠁⠀⠉⢾⡀⠀⠀⠀⠀⠑⠄⠈⠒⠯⣃⠀⠀⠀⣼⠏ ⠀⠀⢀⣀⡶⠛⠁⠀⢙⣆⡀⠑⢄⠀⢱⢄⠀⢄⠀⠀⠈⢂⠀⠀⠙⣇⣴⢾⠬⢳ ⢀⠔⠩⠋⠀⠀⠀⠀⠈⢆⠳⣤⣀⠀⠀⣿⡑⢄⠑⢄⠀⠀⠑⢄⣴⣿⠝⣳⠖⡧ ⠇⠂⣇⠀⠀⠀⠀⠀⠀⠀⠑⠜⠻⣷⣾⢏⡏⠀⠑⢤⡑⢄⠀⣈⠻⠧⠴⣧⠘⢉ ⠀⠣⠘⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠙⠀⢀⣤⣭⣽⣊⣁⢤⢤⠒⢂⡈⢻⣍ ⠀⠀⠑⢄⠳⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡿⣏⣸⣮⡠⠐⢉⣥⠔⣂⠙ ⠀⠀⠀⠀⠑⠠⣉⠛⠓⠶⠤⢤⣤⣤⣴⣾⠟⣷⣫⣷⡾⢤⢞⣿⣮⡭⢴⣎⣀⡴ ⠀⠀⠑⠤⣎⣀⠀⠀⠉⠉⠀⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠙⠆ ⠀⠀⠀⠀⠀⠀⠉⠉⠐⠒⠒⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⠀⠀⠀⠀
⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠛⣹⣿⠷⠒⠛⠉⠉⠛⠓⠲⢿⣿⣿⣿⣿⣆⠀⠛⣮⣥⡲⣄⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠚⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣷⡾⠛⠁⡝⠻⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣥⡀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣇⠈⢧⠹⣆⠈⢧⡢⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⠏⠙⢻⣷⡠⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⣷⣮⣷⣜⠀⠈⣧⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⡿⣃⡴⠚⠛⢻⣿⣦⢀⠀⠀⣀⣤⡴⠇⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⡶⠚⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠘⢁⡠⠴⠒⠛⠻⢿⡧⠗⠚⠋⠁⠀⠀⢠⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣯⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢶⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠹⠿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⠀⠀⠀⢀⡀⠀⠀⠉⠿⣿⣆⠀⠀⠀⠀⠀⠀⠀⢻⣿⠷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⣤⣶⡿⠷⢶⣤⡀⠀⣘⢿⣧⡀⠀⠀⠀⠀⠀⠀⠹⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢶⣤⣀⠀⠀⠀⠀⢤⣤⣤⣤⣴⣾⠃⠈⠙⠲⠤⣬⣿⡋⢀⠀⢀⠀⠸⡏⠁⠀⠀⠀⠈⣿⡄⠀⠈⢿⣷⡀⡀⠀⠀⠀⠀⢠⡏ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠃⣈⣤⣽⣿⣷⣦⣤⣼⣿⠿⠛⣿⠃⠀⠀⠀⠀⠀⠀⠉⠛⢿⣶⣾⠀⠀⠹⣦⠀⠀⣾⣾⣿⣿⠀⠀⠘⢿⣿⣿⡿⠃⠀⠀⣾⣇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⠟⣴⣶⣿⣿⣿⠟⠁⠀⠸⠛⠻⣄⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⡀⠀⠀⠙⠷⣦⡙⠿⢟⣿⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⡿⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⢏⣾⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠛⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡄⠀⠀⠀⠈⠙⠻⢿⣧⣄⠀⠀⠀⠀⠀⠀⢠⣿⣟⠙⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⠟⠁⠈⠙⢻⣿⣗⠀⠀⠀⠀⢦⡀⠀⠀⠀⠀⢻⣷⡀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠈⠟⢿⣷⠀⠀⠀⢀⣴⣟⠙⠻⣿⣇ ⠀⠀⠀⠀⠀⠀⠀⣀⣰⣿⡿⠛⠁⠀⠀⠀⠀⠀⠈⠻⣇⠀⠀⠀⠀⠙⢦⣀⡤⠀⠀⢻⡛⣦⡀⠈⠳⣤⡀⠀⠀⠀⠀⠀⠀⠈⢣⡀⠀⠀⠀⠀⠀⠈⠻⢀⣲⣾⣿⡿⣫⡴⠛⠋⣿ ⠀⠀⠀⢀⣴⣿⠿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠉⠻⣧⠀⠀⠀⠀⠉⠀⠀⠀⠈⣷⢸⣿⣦⡀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠙⣦⡠⠀⠀⠀⠂⣿⣿⣿⣿⣷⣾⠋⠀⠀⣼⡏ ⠀⢀⣴⠟⠉⢀⡞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠈⠿⣷⣦⣤⡀⠀⡀⠀⠀⠀⠸⡇⣿⠈⠻⣦⡀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠈⠳⣄⠀⣠⣼⣿⣟⣥⡶⠟⣿⣷⠾⠛⣻⡦ ⣠⠟⠁⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠘⢿⣿⣿⣾⣦⣄⠀⣠⠀⡇⣿⣧⡄⠈⠻⣦⡀⠀⠹⣦⡀⠀⠀⠀⠀⠀⠙⢧⣿⣿⣽⡟⠁⠀⢴⣿⠃⠀⢠⡟⢠ ⡟⠀⡜⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠹⢿⣿⣿⣿⣶⣷⣾⡇⢸⣿⠇⠀⠀⠈⠻⣦⡀⠀⠙⢦⣄⠀⠰⣄⠀⠈⠻⣭⣿⣧⣤⣴⣿⣃⡀⠰⢿⡤⠈ ⠇⠀⡇⠀⢻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⠀⠙⣿⣿⣿⠟⢋⣴⣿⡇⠀⠀⠀⠀⠀⢈⣿⣦⡀⠀⠙⠳⢀⣨⡴⠖⠒⠙⠋⠉⠈⠙⠻⣿⡇⣀⠈⢠⣶ ⠀⠀⠹⡄⠀⠙⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠥⠶⠂⠉⠁⣿⠀⠀⠀⠀⠀⠀⣈⠉⠈⣹⣷⠞⠋⠉⠀⠀⠀⠀⣀⣠⣶⠴⠊⠀⠀⠙⣿⣟⠉⠈ ⠀⠀⠀⠙⣆⠀⠈⢻⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣰⠀⣸⣾⣾⣿⣿⣿⣟⣷⣄⣀⣴⠞⣉⡽⠛⢯⡁⠀⠀⣀⡤⠆⠀⠘⣟⣷⣶ ⠀⠀⠀⠀⠘⢧⡀⠀⠹⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⣶⣿⣿⣿⣿⣿⣼⣿⠉⠋⢹⣿⣹⠟⠁⠀⠀⣀⡷⠚⢛⠁⠀⢀⣠⡄⠘⢿⣿ ⠀⠀⠀⠀⠀⠀⠙⢦⡀⠈⠻⢿⣦⣤⣀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣼⡿⠏⣿⣦⣤⣼⣿⣿⣦⣤⠖⠋⠁⠀⢀⣘⣤⠖⠋⠀⢀⣤⡤⠙ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣀⠀⠉⠻⢿⣷⣶⣦⣤⣤⣈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⣿⣿⣿⡿⢛⣿⠿⣿⣆⢀⣿⡗⠀⠉⢹⣿⠿⣦⣨⣾⡶⠛⠋⠈⣧⡤⠖⠋⠉⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢪⣍⣒⡀⠀⠀⠉⠉⠛⠻⠿⠿⣿⣷⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⠟⠛⢷⣟⡉⣇⣻⣿⣿⠿⠿⣶⣶⠟⢙⣷⣾⢿⣷⣤⣶⣿⣿⣻⣤⣄⣀⣀⣴⡾ ⠀⠀⠀⠀⠠⣄⡀⠀⠀⢀⡟⠀⠀⠉⠉⠛⠲⠶⠦⢤⣄⣀⣀⣀⠀⠈⠉⠉⠉⠉⠙⠛⠛⠛⠓⠒⠛⠛⠛⠛⠉⠉⠉⠉⠃⠀⠘⠿⠀⠉⠛⠿⠿⠿⠿⠶⢦⡌⠉⠛⠛⢿⡕⠋⠀ ⠀⠀⠀⠀⠀⠈⠳⣤⣠⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠒⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⠀⠀⠀⠀⠙⢶⡀ ⠀⠀⠀⠀⠀⠀⠀⠘⠉⠛⠓⠲⠶⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠛⠓⠒⠶⠤⢤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣠⡤⠤⢄⠀⠀⠀⠀⠀⠀⠀⢀⡀⡀⠀⢸⠤⠤⢄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⡞⠁⢃⢀⡸⠖⠂⠀⠀⠀⠀⠀⡏⠀⢘⠀⠈⠁⠂⢼⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢣⢷⠖⡌⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠉⠀⠀⠀⠀⠸⡀⠀⠀⠀⡠⠠⡀⠀ ⠀⡇⡿⣦⡇⠀⣀⣤⠴⠖⠒⠋⠉⠉⠉⠉⠉⠉⠉⠛⢶⢢⠃⠀⠀⡔⠀⢀⠌⠀ ⠀⠰⢰⢉⣴⡿⠉⢀⡠⠤⣤⠒⠠⢤⠤⠤⠤⠤⠤⣤⣄⡏⠀⠀⠀⠂⠐⠁⠀⠀ ⠀⠀⢲⣿⡇⠀⠀⡎⠀⠘⢿⣦⣤⡼⠃⠀⠀⠀⠱⣿⣿⢧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣹⠣⡀⠀⢃⠀⠀⠀⢉⠥⠤⠤⠤⠤⠤⠴⠠⢅⠘⢴⠒⠠⢄⠀⠀⠀⠀ ⠀⠀⣼⠂⠉⠃⠀⢠⠀⠀⢀⠁⠀⠀⠀⠀⠀⠀⠀⢀⠀⢡⢸⠉⠒⢄⠹⠀⠀⠀ ⠀⠀⢫⡀⠀⢸⠀⠰⠀⠀⠸⠀⠀⠀⠸⠁⠀⠀⠀⠉⡄⠀⡌⡆⠀⠈⢲⠶⠀⠀ ⠀⠀⢀⡛⠲⠾⡄⠀⠣⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⢰⠀⠀⢣⠀⡠⠚⠳⣄⠀ ⠐⠈⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⢀⠁⠀⠀⠀⠀⠀⠆⠀⠘⣤⣧⠀⡠⠟⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⡀⠀⠀⣠⠎⠀⠀⠀⠀⠀⠀⢸⠀⣠⠙⣿⡄⠀⠀⠀ ⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠛⠿⠷⣤⣀⠀⢀⣀⣀⣀⢼⣿⣿⡶⢿⡿⡆⠀⠀ ⠋⠙⠂⠄⡀⠀⠀⠀⠀⣰⣇⣀⠀⠀⠀⠉⠑⠦⣀⡀⠀⠀⢻⣿⣧⠀⠈⢳⠀⠀ ⠀⠀⠀⠤⢀⠑⢠⣴⡶⠁⠀⠈⠉⠓⠲⢤⣀⣰⣿⣿⣶⣤⣀⣿⣿⡄⠀⠀⠣⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⡿⡯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⠿⢛⣩⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⡶⠟⣋⡴⠞⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⠟⢛⣡⠔⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡆⠀⣀⣴⣶⣿⣿⡿⠟⣉⡤⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡤⠤⠤⠄⣿⡇⠀⣿⡿⠟⣫⣵⠖⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⠉⠻⣄⠀⢀⣸⣷⣽⣿⡶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣏⠙⢧⣀⢸⣆⣾⣀⠉⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣶⢒⣿⣦⣀⠳⣾⣿⣿⣿⠟⠋⠀⠀⠀⣠⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⢶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢿⡿⠛⣿⣀⣀⣉⣽⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⢀⣀⣠⣤⠄⢀⡴⢾⣳⢦⣈⡳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠁⢠⡿⣿⣿⣏⣹⣿⣿⣷⠀⠀⠀⣠⠆⣤⣤⣄⠀⠀⢱⡤⠞⢉⣭⣭⣭⣤⣯⣤⡎⠉⡄⠙⣿⣖⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠐⠿⣿⣿⡿⠿⠋⢹⡿⠷⠆⢰⣇⡴⡷⣦⡈⢳⡀⠨⡉⠛⠛⠿⣿⣿⣿⣿⣿⣿⡄⠙⣆⠸⣿⡌⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣿⡄⢀⣀⣼⡿⣧⣶⣎⢀⡛⠛⠋⠀⠀⡇⠘⣙⣄⠀⠀⠀⠉⠉⠛⠛⢿⣿⡷⡟⠛⢾⣿⣄⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠻⢷⣜⣿⣿⢻⢹⣿⡿⠲⣇⣀⣀⠀⠀⢹⡄⣻⠟⠁⠀⠀⠀⠀⠀⠀⠁⣸⡿⢡⡆⣰⡏⡜⠦⣹⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⢿⣿⣿⣽⣶⠿⣿⣿⡆⠈⠛⠁⠀⠀⠀⣾⣆⠀⠀⠀⣰⣿⢁⡸⣥⣿⣼⠿⠛⠾⣿⣤⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⢻⠿⠷⠚⡩⠞⣷⠀⠀⡀⠀⠀⠸⢿⣿⣆⣀⣴⣿⣇⠈⣷⡾⣿⣁⣀⣤⣴⣦⠈⢙⣲⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⡟⠉⠀⠀⠻⣦⣀⣷⡶⡶⠋⢹⠉⠙⡏⢀⣼⣎⣳⣾⣻⠿⣿⣿⣾⠟⠐⣄⠀⠹⣷⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⣿⣷⣦⣤⣤⣾⣿⢿⣿⠂⢳⡀⠘⣧⣤⣾⣟⣿⣿⣿⣿⣧⠀⠈⣹⣟⠠⡀⠸⣆⠀⠹⣿⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣄⠉⢾⠿⠿⣿⣿⣿⡀⠙⣦⡀⣷⣴⢾⣿⣿⣿⣿⣿⡡⠘⠛⣷⣴⡏⠈⠣⡝⠆⠸⣦⠀⠹⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣻⣿⣿⣧⣄⣴⣛⣫⣿⣷⣴⣿⣿⣿⣤⣾⣿⣿⣟⠛⠛⣦⣤⣴⡿⠋⠻⣄⠀⠙⢆⠀⠈⢇⢠⡿⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣻⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣷⣶⣿⡿⢻⡄⠀⠀⠉⢦⡀⠈⠁⠀⠀⣿⠃⣐ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠙⢿⣿⣿⠿⠿⠿⠙⣿⣿⣿⣿⣿⣿⣿⡿⣟⠉⢢⠀⠙⡄⠀⠀⠀⠳⡄⠀⠀⣰⡇⣰⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣄⢻⣿⣇⠰⠀⠈⢻⣿⣿⣿⣿⣿⣏⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⣀⠙⣦⢀⡏⢠⣯⢄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣟⣿⣦⣴⣾⣿⣿⣿⣿⣿⣿⣟⣦⠀⠀⠻⣆⠀⠀⠙⡄⠀⠈⢐⣸⣿⢁⡾⢿⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠙⢷⡄⠀⠛⣀⣶⠿⣫⣵⣿⠀⡾⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣝⢿⣿⣿⣿⡹⣿⣿⣿⣿⣷⣿⢦⡀⠀⢙⣦⣾⢏⣡⣾⡿⣡⣼⡟⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣶⠿⣋⣴⣟⣻⣿⣴⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣶⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣾⣿⣯⣿⡿⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣯⣙⠿⠛⠛⠛⣿⣿⣷⡾⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⢀⡄⠀⡽⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠗⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡖⣛⣽⠟⠒⠉⠉⠉⠓⠚⠿⣿⣿⣷⣀⣹⣮⢜⣦⠀⠀⠀ ⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⠉⠀⠀⠀⠀⠠⣀⠀⠀⠀⠀⠀⠉⠻⣿⡏⢠⢰⡉⢣⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡟⠻⣦⣀⠀⠀⠀⠀⠈⢣⠀⠀⠀⠀⠀⠀⠘⢷⣤⣷⣝⠀⢳⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⣯⠔⠚⢛⣿⣦⠀⢀⣠⠴⠊⠀⡄⠀⠀⠀⠀⠀⠀⠙⠻⣿⣷⠚⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⡀⠀⠒⠉⠉⠉⠛⠋⠉⠁⠀⠀⠸⢿⣶⣄⠀⠀⠀⠀⠀⠄⠹⣿⣇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⢠⡞⠀⠀⢀⠈⠈⠛⢿⣦⡀⠀⠀⠀⠀⠹⣿⣧ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢷⣀⠀⠀⣀⡀⠀⠀⠀⢠⣶⠾⠷⢦⣄⠀⠹⣷⡄⠀⠀⠀⠀⠘⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠓⢦⣤⣀⠀⢲⣶⣶⣿⠏⠀⠈⠙⠒⠻⢥⣄⣠⠀⠸⡄⠀⠀⣤⣿⡆⠀⠹⣿⣤⣤⡄⠀⢠⡟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⣣⣴⣿⣿⡟⠋⠹⠿⢍⢀⠏⠀⠀⠀⠀⠀⠀⠀⠙⢏⠀⠀⠙⢦⣘⢿⠿⡿⠀⠀⠉⠉⠉⠀⢀⣾⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⣵⣿⣿⠟⠉⠀⠀⠀⠀⠈⠻⣄⠀⠀⡀⠀⠀⠀⠀⠀⠀⠳⡄⠀⠀⠉⠛⢿⣧⡄⠀⠀⠀⠀⢀⣿⣟⡂ ⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠋⠀⠀⠙⢿⣄⠀⠀⠐⢦⡀⠀⠀⠙⣷⡀⠙⢦⡀⠀⠀⠀⠀⠀⠘⢄⠀⠀⠀⠀⠙⢿⠀⢀⣠⣾⡯⣉⣽⢧ ⠀⠀⠀⣠⣴⣶⡾⠛⠁⠀⠀⠀⠀⠀⢠⠙⢦⡄⠀⠀⠙⠂⠀⠀⢹⡙⣦⡀⠉⠢⣄⠀⠀⠀⠀⠈⠳⡀⠀⠀⠀⢠⣶⣿⣿⣿⠟⠉⢀⡿ ⠀⣠⠞⠉⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⡘⠿⣦⣤⡀⢀⠀⠀⠀⣷⣿⠙⢦⡀⠈⠳⡀⠀⠀⠀⠀⠘⢦⡀⣤⣾⣿⣥⠾⢻⣷⠞⢻⡧ ⡼⠁⠀⣰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢆⡙⢿⣿⣿⣦⣀⣆⣿⢻⣷⠀⠙⢲⣄⠈⠲⣄⠀⠀⠀⠀⠻⣿⣿⣿⠁⣀⡿⠃⢀⡞⠰ ⡇⢰⠀⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠙⢿⣿⣿⡿⢃⣼⠏⠀⠀⠀⠙⢷⣄⠈⠑⢄⠈⣂⣠⠜⠿⠛⠛⠿⣷⡂⠈⠋⣠ ⠀⠈⣆⠈⠻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠅⠐⠉⡿⠀⠀⠀⠀⢀⣉⢙⣷⠖⠚⠉⠁⣀⣀⣀⡤⠴⠂⠈⠛⣿⡞⠉ ⠀⠀⠈⢦⡀⠘⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣂⣼⣿⣿⣿⣿⢿⢶⣴⢾⡭⠟⠉⢣⣀⣠⠴⠒⠀⠘⣿⣷ ⠀⠀⠀⠀⠑⢄⠈⠻⣶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⡿⣿⣀⣠⣿⣾⣀⣠⠴⠚⠁⢠⣀⠤⠚⠀⣈⠻ ⠀⠀⠀⠀⠀⠀⠑⢄⡀⠙⠿⢷⣶⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⣿⣿⢛⣿⢿⣦⣈⣿⠋⠉⣻⣿⣧⣠⠶⠞⠋⢱⣤⠖⠛⠁⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⡯⠥⠄⣀⣀⠉⠉⠛⠛⠿⠿⠶⠶⣶⣿⣿⣿⣿⣿⣋⣹⣿⣽⣿⣿⣿⡛⠳⣾⢋⣽⣟⣿⣶⣾⠿⠿⣷⣤⣤⣴⠞ ⠀⠀⠀⠈⠳⣄⢀⡞⠁⠀⠀⠀⠀⠉⠉⠑⠒⠒⠢⠤⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠉⠉⠉⠉⠙⡆⠀⠀⠙⢦⡀ ⠀⠀⠀⠀⠀⠈⠛⠓⠶⠤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠒⠒⠶⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣀⢀⣾⠿⠻⢶⣄⠀⠀⣠⣶⡿⠶⣄⣠⣾⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢻⣿⣿⡿⣿⠿⣿⡿⢼⣿⣿⡿⣿⣎⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠉⠛⢛⣛⡉⠀⠀⠙⠛⠻⠛⠑⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣧⣤⣴⠿⠿⣷⣤⡤⠴⠖⠳⣄⣀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣀⣟⠻⢦⣀⡀⠀⠀⠀⠀⣀⡈⠻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠉⡇⠀⠀⠛⠛⠛⠋⠉⠉⠀⠀⠀⠹⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠀⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠈⠑⠪⠷⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣦⣼⠛⢦⣤⣄⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠢⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠲⠖⠛⠻⣿⡿⠛⠉⠉⠻⠷⣦⣽⠿⠿⠒⠚⠋⠉⠁⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⠛⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀ ⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀ ⠀⠀⠀⣰⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣧⣄⠀⠀⠀⠀⠀⠀⢳⡀⠀ ⠀⠀⠀⣿⡾⢿⣀⢀⣀⣦⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣫⣿⡿⠟⠻⠶⠀⠀⠀⠀⠀⢳⠀ ⠀⠀⢀⣿⣧⡾⣿⣿⣿⣿⣿⡷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢿⣿⣧⠀⡀⠀⢀⣀⣀⢒⣤⣶⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⡾⠁⠙⣿⡈⠉⠙⣿⣿⣷⣬⡛⢿⣶⣶⣴⣶⣶⣶⣤⣤⠤⠾⣿⣿⣿⡿⠿⣿⠿⢿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣸⠃⠀⠀⢸⠃⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⠟⡉⠀⠀⠀⠈⠙⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣿⠀⠀⢀⡏⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠉⠠⠿⠟⠻⠟⠋⠉⢿⣿⣦⡀⢰⡀⠀⠀⠀⠀⠀⠀⠁ ⢀⣿⡆⢀⡾⠀⠀⠀⠀⣾⠏⢿⣿⣿⣿⣯⣙⢷⡄⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣻⢿⣷⣀⣷⣄⠀⠀⠀⠀⢸⠀ ⢸⠃⠠⣼⠃⠀⠀⣠⣾⡟⠀⠈⢿⣿⡿⠿⣿⣿⡿⠿⠿⠿⠷⣄⠈⠿⠛⠻⠶⢶⣄⣀⣀⡠⠈⢛⡿⠃⠈⢿⣿⣿⡿⠀⠀⠀⠀⠀⡀ ⠟⠀⠀⢻⣶⣶⣾⣿⡟⠁⠀⠀⢸⣿⢅⠀⠈⣿⡇⠀⠀⠀⠀⠀⣷⠂⠀⠀⠀⠀⠐⠋⠉⠉⠀⢸⠁⠀⠀⠀⢻⣿⠛⠀⠀⠀⠀⢀⠇ ⠀⠀⠀⠀⠹⣿⣿⠋⠀⠀⠀⠀⢸⣧⠀⠰⡀⢸⣷⣤⣤⡄⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⢼⡇ ⠀⠀⠀⠀⠀⠙⢻⠄⠀⠀⠀⠀⣿⠉⠀⠀⠈⠓⢯⡉⠉⠉⢱⣶⠏⠙⠛⠚⠁⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠻⠄⠀⠀⠀⢀⣿⠀⢠⡄⠀⠀⠀⣁⠁⡀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⡟⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢠⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⣆⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⣼⣿⡗⠀⠀⠀⠀ ⠀⠀⠀⣠⠟⠀⠘⠷⠶⠶⠶⠾⠉⢳⡄⠀⠀⠀⠀⠀⣧⣿⠀⠀⠀⠀⠀ ⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣤⣤⣤⣤⣤⣿⢿⣄⠀⠀⠀⠀ ⠀⠀⡇⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠙⣷⡴⠶⣦ ⠀⠀⢱⡀⠀⠉⠉⠀⠀⠀⠀⠛⠃⠀⢠⡟⠂⠀⠀⢀⣀⣠⣤⠿⠞⠛⠋ ⣠⠾⠋⠙⣶⣤⣤⣤⣤⣤⣀⣠⣤⣾⣿⠴⠶⠚⠋⠉⠁⠀⠀⠀⠀⠀⠀ ⠛⠒⠛⠉⠉⠀⠀⠀⣴⠟⣣⡴⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣅⣁⢈⣭⣿⣷⣾⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣴⣖⣦⣤⣲⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣯⡿⠟⠋⠉⠻⡟⢟⡽⣗⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⢞⢝⣍⢿⣹⡿⠳⣛⣋⣓⣩⣲⡤⡀⠀⠀⠀⠀⠀⣰⡿⣣⠟⠁⠀⠀⠀⠀⠀⠘⢑⡻⣟⡧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠐⣿⣽⡿⣿⣟⡁⠀⠀⠀⠉⠉⢻⣟⠋⠝⢓⢤⣠⡴⣶⡿⣟⣭⣓⠖⠢⣤⣀⣀⣀⣬⡶⣻⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣹⣫⢿⡇⣃⠴⡀⣀⡠⠤⠶⠒⣺⠿⣟⢸⣯⣃⣳⡾⡲⠷⣮⣥⣼⣮⣤⣥⣾⣿⣿⣻⡿⢯⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢘⠣⣿⣿⣶⣾⣿⣷⣶⡂⢩⡭⢊⣽⣿⡿⠿⠿⢿⣦⣴⣙⠈⠙⠏⠉⠋⠉⠀⠩⠀⠂⠀⢀⣤⢤⣤⣤⣂⣅⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠀⠉⠉⠙⠟⡟⢛⠋⡵⣻⣿⠏⠀⠀⠀⠘⢿⢯⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⣀⠖⣫⠵⢏⣽⣿⣿⡧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⣩⢅⡏⠀⠀⠀⠀⠀⠈⠫⣳⠄⢹⡆⠀⠀⠀⠀⣢⣴⣿⣿⣿⠟⠁⠈⢿⢿⡿⠄⠀ ⠀⠀⣰⣾⣏⣩⣉⠰⣄⠀⠀⠀⠀⣠⢖⣴⢟⠎⠀⠀⠀⠀⠀⠀⠀⠀⠉⠷⣾⣿⡀⠀⢠⣾⣿⣿⡿⠟⠁⠀⠀⠀⣸⣾⠣⠂⢀ ⠀⣰⡇⠈⠙⠤⣽⣿⣹⣷⣤⣈⣴⣩⡤⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠒⠛⠛⡫⠁⠀⠀⠀⣀⣴⣾⡿⠃⠁⠀⠘ ⢰⣿⣹⡄⠀⠀⠀⠉⠛⠻⠿⠛⠋⠉⠂⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⣀⡀⣤⡶⠁⢼⣿⠃⠀⠀⠀⠀ ⢹⡇⠂⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡁⡆⠡⣬⣧⣀⡜⠁⠀⠀⠀⠀⠀ ⠀⠱⡄⢂⠣⠀⣠⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⢶⠃⠙⠋⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠢⢀⣙⠿⣿⡿⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡾⡄⠀⠀⠀⣀⣀⠀⠀⠀⡄⠀ ⠀⠀⠀⠀⠀⠈⠑⠊⠁⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠺⢿⣿⣿⡶⡤⣕⡤⠀⠂⠀ ⠀⢀⠀⣤⠔⠆⢶⣶⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠁⠄⠀⠀ ⠁⣠⡎⠀⣀⣠⡾⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠄⠀⠀⠀ ⠀⣿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀ ⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⋆౨ৎ˚⟡˖ ࣪⋆୨୧⋆⋆ ˚。⋆୨♡୧⋆ ˚。⋆
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⠀⠀⠀⠀⠀⠀⢀⣤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⢤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡼⠋⠀⣀⠄⡂⠍⣀⣒⣒⠂⠀⠬⠤⠤⠬⠍⠉⠝⠲⣄⡀⠀⠀ ⠀⠀⠀⢀⡾⠁⠀⠊⢔⠕⠈⣀⣀⡀⠈⠆⠀⠀⠀⡍⠁⠀⠁⢂⠀⠈⣷⠀⠀ ⠀⠀⣠⣾⠥⠀⠀⣠⢠⣞⣿⣿⣿⣉⠳⣄⠀⠀⣀⣤⣶⣶⣶⡄⠀⠀⣘⢦⡀ ⢀⡞⡍⣠⠞⢋⡛⠶⠤⣤⠴⠚⠀⠈⠙⠁⠀⠀⢹⡏⠁⠀⣀⣠⠤⢤⡕⠱⣷ ⠘⡇⠇⣯⠤⢾⡙⠲⢤⣀⡀⠤⠀⢲⡖⣂⣀⠀⠀⢙⣶⣄⠈⠉⣸⡄⠠⣠⡿ ⠀⠹⣜⡪⠀⠈⢷⣦⣬⣏⠉⠛⠲⣮⣧⣁⣀⣀⠶⠞⢁⣀⣨⢶⢿⣧⠉⡼⠁ ⠀⠀⠈⢷⡀⠀⠀⠳⣌⡟⠻⠷⣶⣧⣀⣀⣹⣉⣉⣿⣉⣉⣇⣼⣾⣿⠀⡇⠀ ⠀⠀⠀⠈⢳⡄⠀⠀⠘⠳⣄⡀⡼⠈⠉⠛⡿⠿⠿⡿⠿⣿⢿⣿⣿⡇⠀⡇⠀ ⠀⠀⠀⠀⠀⠙⢦⣕⠠⣒⠌⡙⠓⠶⠤⣤⣧⣀⣸⣇⣴⣧⠾⠾⠋⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣭⣒⠩⠖⢠⣤⠄⠀⠀⠀⠀⠀⠠⠔⠁⡰⠀⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⢤⣀⣀⠉⠉⠀⠀⠀⠀⠀⠁⠀⣠⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠒⠲⠶⠤⠴⠒⠚⠁⠀⠀
⠀⠀⠀⢸⣦⡀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣏⠻⣶⣤⡶⢾⡿⠁⠀⢠⣄⡀⢀⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀ ⠀⠀⣀⣼⠷⠀⠀⠁⢀⣿⠃⠀⠀⢀⣿⣿⣿⣇⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠴⣾⣯⣅⣀⠀⠀⠀⠈⢻⣦⡀⠒⠻⠿⣿⡿⠿⠓⠂⠀⠀⢂⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⢻⡇⣤⣾⣿⣷⣿⣿⣤⠀⠀⣿⠁⠀⠀⠀⢀⣴⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣿⡿⠏⠀⢀⠀⠀⠿⣶⣤⣤⣤⣄⣀⣴⣿⡿⢻⣿⡆⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠟⠁⠀⢀⣼⠀⠀⠀⠹⣿⣟⠿⠿⠿⡿⠋⠀⠘⣿⣇⠀⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢳⣶⣶⣿⣿⣇⣀⠀⠀⠙⣿⣆⠀⠀⠀⠀⠀⠀⠛⠿⣿⣦⣤⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⠿⠋⠁⠀⣹⣿⠳⠀⠀⠀⠀⠀⠀⢀⣠⣽⣿⡿⠟⠃ ⠀⠀⠀⠈⠀⢰⠿⠛⠻⢿⡇⠀⠀⠀⣰⣿⠏⠀⠀⢀⠀⠀⠁⣾⣿⠟⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⣰⣿⣿⣾⣿⠿⢿⣷⣀⢀⣿⡇⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠋⠉⠁⠀⠀⠀⠀⠙⢿⣿⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀ 𐙚 -`♡´-˙✧˖°📷 ༘ ⋆。˚˙✧˖°📷 ༘ ⋆。˚˚˖𓍢ִ໋🌷͙֒✧˚.🎀༘⋆˚‧。⋆🌻⋆。‧˚⛷🧚‍♀️🛖
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠋⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⢀⣀⣀⣠⣤⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠟⠛⠛⠋⠉⠉⠛⣷⡄ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⢀⣀⡤⣤⢤⡤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⣀⣤⣶⠿⠛⠋⠁⠁⠀⠀⠀⠉⠛⣯⣳⡀⠀⠀⠀⠀⠀⠀⢠⡿⠃ ⠀⣠⣶⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡻⣿⠀⠀⠀⠀⠀⣠⡿⠃⠀ ⢸⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠉⢹⡆⠀⠀⢸⣿⠀⠀⠀⠀⢠⡿⠁⠀⠀ ⢸⣧⡀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠈⠀⠀⢀⣮⠏⠀⠀⠀⠀⠘⣷⡀⠀⠀ ⠀⠙⠿⣶⣤⣀⠀⠀⠀⠀⠈⠻⢦⣤⣤⣤⡶⠟⠁⠀⠀⠀⠀⠀⠀⠘⣷⡄⠀ ⠀⠀⠀⠀⠉⠛⠿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣦⣤⣤⣄⣀⣀⣤⡿⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⣠⣾⠏⠀⠀⠀⠈⠉⠉⠙⠛⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣄⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢀⠤⠤⢄⡀⠀⠀⠀⠀⠀⠀⢀⠤⠒⠒⢤⠀ ⠀⠏⠀⠀⠀⠈⠳⡄⠀⠀⡠⠚⠁⠀⠀⠀⠘⡄ ⢸⠀⠀⠀⠤⣤⣤⡆⠀⠈⣱⣤⣴⡄⠀⠀⠀⡇ ⠘⡀⠀⠀⠀⠀⢈⣷⠤⠴⢺⣀⠀⠀⠀⡼⢁⡇ ⠀⠡⣀⣀⣤⠶⠻⡏⠀⠀⢸⡟⠙⣶⣴⠥⠼⠀ ⠀⠀⢠⡾⠉⠀⢠⡆⠀⠀⢸⠃⠀⠈⣿⣆⠀⠀ ⠀⠀⣿⣠⢶⣄⠀⡇⠀⠀⠘⠃⣀⡤⢍⣈⡀⠀ ⠀⠀⠀⠀⠀⠙⠼⠀⠀⠀⠀⠿⠋⠀⠀⠀⠀⠀
.  +⠀ ⠀ ⠀˚⠀ ⣴⠟⠉⠉⠛⢦⡀⢀⣴⠛⠉⠈⠙⠻⣄ ⠀⠀⣼⠃⠀⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⠹⣦ ⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡆ ⠀⠀⠀⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃ ⠀⠀⠀⠀⠀⠻⢦⣄⠀⠀⠀⠀⠀⣠⡴⠛ ⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⣄⠶⠋ ⠀⠀⠀+. *
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣿⣶⣶⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠘⢿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠈⠻⣿⣿⣿⣿⣆⠀⠀⠀⢀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣀⣤⣶⣶⣌⠻⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⠁⣰⣿⣿⣿⣿⣿⣦⣙⢿⣿⣿⣿⠄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣦⣹⣟⣫⣼⣿⣿⣶⣿⣿⣿⣿⣿⣿⣯⡉⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⢻⣿⣿⣿⣿⣿⡇⠀⠀⠈⠉⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣴⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⡇⠀⠸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⢿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣶⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣧⣄⣐⣀⣀⣀⣀⣀⡀ ⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠁⠛⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁
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