Keyboard Stick Figure Emojis & Text

O`<br>`/|\`<br>`/\`+📝

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⢻⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⣣⢊⡵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⠋⠉⠉⠉⠉⠓⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠛⠉⠉⠉⠉⠙⠶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⣤⠀⢮⠳⡄⠀⠀⠀⠀⠀⠀⢀⡞⡇⠀⢠⡀⠀⠀⠀⠀⠀⠈⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⢀⠀⠀⠀⠀⠙⠀⠈⠁⣻⠀⠀⠀⠀⠀⠀⣾⠀⠃⠀⠘⠀⠀⠀⣀⣠⡤⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠈⢯⠿⠿⢯⣉⠉⢉⣿⡟⠀⠀⠀⠀⠀⠀⢿⠠⢤⠄⠒⠒⣋⡩⢤⡴⠁⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣆⢀⡀⠈⠑⠦⠤⠽⣖⡿⠟⠀⠀⠀⠀⠀⠀⠀⠈⢧⡈⢷⣴⣊⡥⠖⠉⠀⠀⢀⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠼⡗⠿⠶⠶⠶⠒⡟⠉⠀⠀⠀⠀⢀⡤⠄⠀⠀⠀⠀⠙⠲⢤⠶⠤⠤⠶⠖⠛⢻⠓⠲⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠞⠁⢠⠇⠀⠲⢤⣄⣀⠃⠀⠀⠀⠀⠀⠀⠛⣋⡉⠀⠀⣀⣤⠶⠛⡇⠀⠀⠀⠀⠀⠸⡇⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣷⠆⠀⡾⠀⠀⠀⠀⠀⢹⠉⠑⠒⠒⠲⠤⠀⢿⣣⠟⠚⠉⠁⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⢻⡀⣴⢦⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠋⠀⡼⠁⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠦⠤⠶⠀⠀⠀⠀⠀⠀⢸⣄⠀⠀⠀⠀⠀⠈⢧⠛⠚⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢾⠁⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⢈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢳⠦⢤⣀⣀⠤⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠷⢤⠤⠴⠖⢻⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣀⡠⠤⠤⠤⣤⠀⢻⠀⠀⠀⢹⠀⠀⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠄⠐⠒⠢⠄⠀⢸⠀⠀⠀⠀⡇⠠⠤⠤⠤⠤⠤⠤⠤⠤⠤⢤ ⠀⠀⠀⠀⠀⠀⠠⣴⡞⠃⠀⠀⠘⠛⠲⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠒⠛⠀⠀⠀⠀⠷⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢤⡀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡀⠤⡶⠛⠓⢲⡿⠯⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡔⠉⢀⠞⠁⠀⠰⠋⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠱⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⢠⡿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠠⣄⠀⠀⠀⠀⢀⡀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠳⢦⣀⠀⠀⠀⠈⠉⠒⠒⠉⡡⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣎⠈⠙⠒⠒⠶⠶⠒⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡰⢻⠈⢦⡀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⣶⣒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⠎⠀⡇⠀⠀⠳⣄⠀⠀⠀⠀⠶⠶⠄⠀⠀⠀⠀⢀⣽⣌⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⣤⣖⣲⡆ ⢀⡜⠁⠀⢰⠃⠀⠀⢀⣘⣧⣤⠤⠖⢺⢦⠀⠀⠀⢀⡴⠋⡇⣸⠀⠀⣤⣶⣖⣶⣾⣿⠟⣛⣯⠉⠉⠉⠁⢀⡞⠀ ⠾⠤⠄⠒⣺⠒⠊⠉⠉⠀⠀⠹⣦⠀⢰⣸⠀⣀⠔⠋⠀⢸⣿⡁⠀⢠⢣⠋⠉⠉⠁⠀⠈⠉⠁⠀⠀⠀⠀⡼⠁⠀ ⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠈⠻⢞⣧⠞⠁⠀⠀⠀⠐⠛⠃⢀⣮⢯⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀ ⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡠⢤⡎⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠤⠔⠒⢊⣉⡡⠤⣶⣾⡼⡝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀ ⠀⠀⠀⢀⣇⡀⠤⠤⠒⠒⠉⢉⡠⠤⠔⠒⠉⠉⢉⣳⣶⣿⣿⢻⡿⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣴⠛⠀⠀⠀⠀⠀ ⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⢷⣦⣄⡺⢿⣟⣛⡯⣿⠃⠃⠀⠀⠀⣀⣠⣴⣲⠽⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠿⢾⣿⣿⣇⣦⣤⣶⠾⠟⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⡠⠖⠲⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⣿⡋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡎⢸⠄⠇⠀⠇⠀⠀⠀⠀⠀⣴⡾⢀⣺⣾⢿⣟⣿⣾⣾⣿⠶ ⠀⠀⠀⠀⠀⠀⠀⠡⡠⠤⠐⢀⠃⠀⠀⠀⠀⠀⠈⣞⣾⣿⣿⣿⣿⣻⣟⣟⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⢏⣀⡤⢴⡚⢩⠑⣤⠾⣿⣿⣿⣝⣿⣯⡓⠤⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⡠⠔⠋⠹⣄⣀⣬⣬⡦⡶⠃⠀⠛⠹⣮⠅⠈⠀⠁⠀⠀⠀⠀ ⠀⠀⣠⣤⣲⣏⣼⡶⠶⢿⠛⠚⠛⠋⠀⠉⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀ ⠴⠛⠛⠉⠉⠉⠁⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⡇⠀⠀⠰⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⢰⢤⣤⣤⣭⣥⣤⣤⣤⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⣿⠁⢀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⣀⣿⡀⢸⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠒⠉⠙⠀⠘⠉⠹⠲⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⢦⣄⠀⠀⠀⠀⠀⠀⠀⠈⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⢠⠞⢱⣄⣀⣀⡈⠓⠀⠀⠀⠠⠤⠶⠶⠶⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⣤⢤⠇⢷⡄⠀⠀⠀⠀⠀⠀⢿⠀⢸⡏⠉⢽⠙⠛⢷⢶⣦⣤⣤⣤⣀⡀⢀⣿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⡏⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠘⢶⡜⢧⡀⠀⠀⢠⠟⠸⡇⠻⠀⠈⠉⣿⠏⠁⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣧⣀⣀⣠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⢩⡙⠋⠱⢦⡤⠷⢄⣀⣀⣴⠏⢀⣀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀ ⠀⠈⠙⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣆⠀⠙⢦⣄⣀⣀⣀⣤⡾⠉⠀⣠⡿⠉⠁⠀⠀⠀⠀⠀⠀⠀⣰⠟⠉⣩⠽⠛⢀⣀⡀ ⠀⠀⠀⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣄⡈⠳⠬⠭⠥⠚⠀⣠⣼⠟⠁⠀⠀⠀⠀⠀⠀⠀⣰⡾⠻⣧⣀⠈⠉⠉⣁⣠⠼ ⠀⠀⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠷⣶⣶⡶⠾⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⠉⠉⠉⠉⠁⠀⠀ ⠀⠀⠀⠀⠘⢿⣦⣀⡀⠀⠀⠀⢀⣀⣀⣠⣤⣤⣤⣤⣤⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠛⠛⠛⠉⠉⠉⣿⠋⠁⠀⠈⠉⠉⠙⠛⠻⢿⣶⣤⣀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡟⠿⣷⣦⣄⡀⠀⣠⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⠀⠉⠛⠻⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣆⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⡀⠀⠀⢀⣴⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢷⡾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣠⠤⠶⠒⠛⠛⠓⠲⢤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡄⠀⠀⠀⠀⠀⠈⠁⢀⠔⠉⠙⠃⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⡟⣠⠒⡖⢶⠈⠀⠀⠀⠀⠀⣠⣴⠟⠒⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠀⠸⡄⢣⠘⡆⠀⠀⠀⢠⠞⢁⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢳⠈⣆⡽⣄⡀⠀⠀⠀⢸⠀⢀⡀⠀⠀⠰⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠠⡎⠉⣏⠀⢀⡽⣄⡀⠀⢸⡄⡜⠀⡀⠀⠀⣀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠳⢤⡟⡏⢹⡀⠀⠉⠓⠾⢿⡁⠀⣿⣆⠀⢿⡇⠀⠀⠀⠀⠀⢀⡔⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⢰⠀⣇⠀⠀⠀⠀⠈⠳⣤⠜⠋⠀⠈⠀⠀⠀⠀⣠⠾⢷⡆⡴⢧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⢧⢸⡄⡀⠀⠀⠀⠀⠈⠙⠶⣄⣀⣀⡤⠒⠉⣉⡩⠟⠋⠀⠀⢳⡉⠒⠤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣎⣇⠈⡀⢿⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠙⠢⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣆⣧⣸⡆⠀⠀⢀⣠⠤⢤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢇⠀⠀⠀⠀⠀⠙⠦⣀⠀ ⢀⣀⣀⣀⣀⠀⢀⣀⣀⣀⡀⠀⠹⣌⢡⠤⠖⠊⠁⠀⠀⠀⠀⠀⠉⠉⠑⠒⠒⠦⠤⣄⣀⣀⡀⠀⠀⠘⡆⠀⢀⣀⣀⠤⠤⠞⠃ ⠀⠀⣠⠴⠛⠉⠁⠀⠀⠀⠀⠀⠀⠈⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠒⠉⠉⠉⣻⢿⡷⠶⢒⣿⣏⣉⣀⣀⣀⣀⣀⠀ ⢠⡊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠤⠤⠔⣊⠵⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⠓⠢⠤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡠⠴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠓⠢⢤⣀⠀⠀⠀⠀⠀⠀⣀⠤⠐⠒⠒⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠤⣄⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠤⠤⠤⢤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠖⠛⠉⠉⠀⠀⠀⠀⠀⠀⠈⠉⠻⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠒⠛⢻⣿⡒⠦⠤⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⡤⠴⠒⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠋⠁⢀⣀⣀⣀⣀⣙⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⡴⠛⠁⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠀⠀⠀⠈⠉⠙⠳⣦⠀⠀⠀⠀⠛⠉⠀⠀⠀⠀⠀⠈⢿⡟⢶⡀⠀⠀⠀⠀⠀⠀ ⢀⡾⠋⠀⢀⣠⠴⠚⢋⣡⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠙⠀⠀⠀⠀⠀⠀ ⠛⠀⠀⡴⠋⣠⣴⣚⢋⠐⠓⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⣿⠀⠀⠀⣴⣤⣀⠀⠀⠀⠀⢠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⠟⠋⣀⣈⡇⠀⡞⠋⠙⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠶⢾⣿⠀⠀⠐⢻⡿⠏⠀⠀⠀⠀⠀⠋⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⡷⠋⠁⢩⣇⠀⢷⣄⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢷⡖⠋⠸⣇⠀⠀⠀⠀⠀⠀⣤⣄⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠁⠀⣠⡞⠙⣧⢤⠉⢳⡦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⢻⣦⠀⠀⠀⠀⠀⢿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠤⠞⠙⢷⡀⠘⢯⢆⣸⡇⠈⠳⣦⡀⠀⠀⠀⠀⠀⠀⠀⠙⣧⡀⠀⠙⢷⣄⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣦⡶⠛⣉⣿⠀⠀⠈⠻⣦⣀⠀⠀⠀⠀⠀⠀⢘⣷⣦⡀⠀⠙⠿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⣔⠚⣦⣾⠟⠛⢠⠀⠀⠀⠀⠙⠷⣦⣀⣀⣤⡤⢼⢧⡉⠻⣶⣄⡀⠀⠀⠉⠋⠀⠀⠀⠀⠀⠀⠀⣠⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⡀⠛⠳⠂⠀⣤⠀⠛⢀⣀⠀⠀⠀⠀⠈⠁⠀⠀⠀⣼⠀⠙⢦⡄⠉⠛⠳⠶⠤⢤⣤⣤⡤⠤⠶⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠛⠲⠀⠀⠀⠀⠀⠶⠈⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠙⢧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⡦⠀⠠⠄⠰⠆⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠙⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠠⠄⠀⠋⠀⠀⠀⠀⢼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢾⠀⠀⠃⠀⠀⠂⠀⠀⢘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣯⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⡉⢉⡿⠁⠀⠉⠳⣦⡀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣘⣧⣌⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣿⣟⣧⣏⣀⣀⣀⣀⣀⣠⣟⣉⣉⣉⣉⣙⣳⣄⣀⣀⣀⣀⣀⣀⣀

⠀⠀⠀⠀⠀⢀⣠⣲⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠔⢩⠊⠀⠊⠀⠙⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠆⠀⠀⠀⠀⠀⠒⡀⠀⣱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠸⠃⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢆⠀⠀⠀⢀⠀⠀⠀⡀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢑⠢⢄⣀⣈⡉⠅⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⡎⢢⠀⠀⠀⠀⠀⠀⠀⠀⢴⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⠎⢀⠃⠀⠱⣄⣀⢨⡍⠀⠀⡠⡞⡆⢀⣀⣤⣤⡤⢶⠖⠚⠛⡟ ⠓⠒⢺⠀⠉⠁⠈⠢⡸⣄⠠⠊⠀⣿⠀⣬⡋⠉⠀⠈⠉⠀⠀⠸⠀ ⠀⠀⠘⠀⠀⠀⠀⠀⠈⠉⠀⠀⣀⡀⡔⡿⠁⠀⠀⠀⠀⠀⢠⠁⠀ ⠀⠀⠀⢀⣀⠀⠤⢀⡒⠠⠍⠴⣢⣽⣿⠃⠀⠀⠀⠀⠀⣠⠃⠀⠀ ⠀⠈⠁⠀⠀⠀⠀⠓⠦⣴⣺⣷⣿⠓⠁⣀⣠⡤⠦⠚⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡾⠟⠛⠛⠻⠷⣶⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⣀⣀⣀⣀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣤⣴⣶⣶⢟⣥⡾⠟⠛⠛⠙⠛⠻⢷⣦⡀⠀⠙⣷⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⣿⠋⠁⠀⣴⡿⠋⠀⠀⠀⠀⠀⢀⡀⠀⠙⢿⣆⠀⢹⣷⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⡇⠀⠀⣰⡟⠀⠀⣠⣶⡄⠀⠰⣿⣿⠄⠀⠀⢻⣆⠈⣿⡆⠀⠀ ⢀⢠⣤⢠⡄⠘⣿⣆⠀⣿⠃⠀⠀⠹⠿⠇⠀⠀⠈⠁⠀⠀⠀⠸⣿⠀⠹⣿⣄⣀ ⠻⣿⣿⡿⠃⠀⠈⢻⣇⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⢸⣿⡀⠀⠈⣻⣿ ⠀⠀⢹⣷⠀⠀⣤⣼⡿⠘⣿⡄⠀⠀⠀⠀⠀⣀⣀⣼⠏⠀⢠⣿⠛⠻⠿⠟⠛⠁ ⠀⠀⠀⣿⡆⠀⢿⣯⣄⣤⣼⠿⣦⣀⠀⠀⠈⠛⠛⠁⣀⣴⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣷⠀⠀⠉⠉⠉⠁⠀⠈⠛⠻⠷⢶⣶⠾⠟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⣧⠀⠀⠀⠀⠀⠀⢰⣶⣄⡀⢸⡟⠀⣠⣶⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⣷⣤⣀⠀⠀⠀⢸⡇⠙⠿⣾⣷⡾⠟⠉⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⡇⠀⠀⠀⠀⠀⠀⠀⣿⢷⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⣿⠀⠙⢿⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠈⢿⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠘⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⣿⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠉⠁⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠤⠒⠒⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⣈⣹⢶⣤⣄⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡠⠤⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠠⠒⠉⢀⣀⣀⣙⣷⡈⠁⠀⠀⠀⠀ ⠀⠀⡠⠚⠁⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏⠀⠀⠀⠀⠈⠉⠓⢦⠀⠀⠀⠉⠁⠀⠀⠀⠈⢻⡓⢦⠀⠀⠀ ⠠⠎⠀⡠⠖⣋⡥⠖⠾⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⣤⠀⠀⢀⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀ ⠀⠀⠈⠡⡾⠛⣁⣢⠀⡼⠓⢶⠀⠀⠀⠀⠀⠀⠀⢰⡷⢤⣿⠀⠀⠿⡿⠂⠀⠀⠀⠙⣷⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⡹⠋⠁⣽⡀⠳⣤⡞⠀⠀⠀⠀⠀⠀⠀⠘⣷⠉⠹⣆⠀⠀⠀⠀⣤⣄⠀⠀⠟⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⣇⣠⢾⡀⠹⣦⠀⡟⠲⣄⠀⠀⠀⠀⠀⠀⠸⣆⠀⠹⣦⡀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠀⠀⠻⣤⡼⠓⣻⠀⠈⠳⣦⡀⠀⠀⠀⠀⠙⣧⣀⠈⠻⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢦⡙⠶⠟⠋⣠⠀⠀⠀⠙⠲⠤⠤⠴⢺⠷⣉⠳⢦⣄⡀⠉⠁⠀⠀⠀⠀⣀⡤⠚⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠳⣄⡉⠁⠐⠂⣀⠠⠄⠀⠀⠀⠀⠀⠀⣼⠀⠈⠳⣄⠈⠉⠛⠛⠒⠒⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⠀⠠⠀⠀⠀⠀⠀⡇⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⠀⢀⡀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠈⠓⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠁⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡒⠒⠒⠒⠒⠒⠒⠛⠒⠒⠒⠒⠒⠒⠒⡒⣲⠆⠈⠓⢤⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠤⠤⠤⠷⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠽⠿⠷⠅⠤⠤⠤⠤⠿⠭⠤⠬⠭⠦⠤⠤⠤⠤

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⣀⣀⣀⢀⣠⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⠋⠉⢱⡄⠀⠀⣘⣧⣠⣬⣷⠴⣯⣄⡴⠃⠀⠀⠀⠀⠀⠀⠀⣀⡠⢄⡀ ⠀⠙⠦⢤⢞⣡⢶⣿⡿⠋⠁⠀⡀⠀⠀⠀⠉⢳⠦⣀⠀⠀⠀⠀⣼⠋⠀⢀⡽ ⠀⠀⢀⡼⢯⡵⠃⣾⠀⠀⣆⠀⠀⠀⠀⢀⡄⢈⡷⡌⢣⡀⢀⡤⠿⠤⠐⠋⠀ ⠀⢀⡞⢀⡼⠙⢦⡟⢦⡀⠈⠑⠒⠒⠚⠁⣠⠾⡄⢹⡤⢿⠉⠀⠀⠀⠀⠀⠀ ⠀⡾⠀⣾⠁⠀⡼⠙⣄⠈⠑⢲⢶⡒⠒⠉⢁⣠⢿⡋⢧⠈⣇⠀⠀⠀⠀⠀⠀ ⠰⠇⠀⡇⠀⢠⡇⠀⠈⠓⢤⡟⠈⢧⡤⠚⠉⠀⢈⡇⠸⠀⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠛⠀⠘⠃⠀⠀⢠⡟⠀⠀⠘⣧⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠓⠚⢹⡏⠉⠉⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⣻⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠏⠈⣧⠀⠀⠀⠀⠀⠀⠀⢿⠀⢸⠆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠿⠤⠴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣊⣩⣄⠒⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠉⠀⠁⠀⠉⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠃⠀⣄⠀⡎⣉⡀⢸⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠆⠀⠙⠃⢀⣁⠀⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢄⠉⠁⠀⠀⡴⠋⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠗⠂⠤⠤⠤⡐⠊⠀⠀⠀⠀⠀⠀⣤⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢻⣷⢄⠀⠀⠀⠀⠀⠀⠘⡷⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢐⠀⢀⠔⠁⠀⣧⠀⠑⠢⡀⠀⠀⠀⠀⠹⡹⢄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⡠⠋⠀⠀⠀⣿⠀⠀⠀⠈⠢⢀⠀⠀⢸⣀⣀⠆⠀⠀⠀ ⣀⣀⣀⣀⣀⣀⣀⣀⣖⣁⣀⣀⣀⣸⣿⣇⣀⣀⣀⣀⣀⣒⣤⣃⣀⡩⢄⣀⣀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⡀⠀⠀⠀⢈⠝⡙⠂⠀⠀⠀⠈⠲⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠞⢰⠩⢡⠀⠀⢀⠔⠊⠉⠁⠀⠀⠀⠀⠀⠀⠈⠆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣆⡦⠧⡀⠀⢸⠀⠀⠀⠠⠤⡀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢅⡳⠀⠊⠢⠼⡌⢠⣄⢰⡆⠀⠀⠀⡠⠀⡌⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢁⠃⠃⠀⠀⠘⢦⡉⠀⠁⢀⡠⠾⡦⠚⡤⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠜⡈⡘⡤⠀⠀⠀⠈⠁⠚⠒⠂⠉⠀⠀⠘⡄⠉⠂⢄⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠳⡥⣃⡀⠄⠒⠂⠤⠄⢀⣀⡀⠀⠀⠀⠐⡀⠀⠀⠑⣢ ⠈⠉⠝⠂⠉⠉⠉⠉⠙⠇⠀⠀⠀⠀⠀⠀⠀⠔⠊⠉⣋⠶⠶⠷⠀⠉⠀⠀ ⠘⠤⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡉⠕⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠒⠠⢄⡀⠀⠀⠄⠒⠒⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⢀⡀⠴⢿⡃⠀⠀⠀⠀⠀⠀⠀⢀⣮⠮⠆⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠰⠁⠀⠀⠀⡀⢕⢄⠀⠀⠀⠀⣰⠉⡀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠀⢀⣀⣀⡀⢈⣼⠀⠀⠀⠀⡁⡀⠁⠀⣀⡴⠀⠈⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠑⣀⠀⠓⠠⣷⠾⠃⠀⠀⠀⠀⠃⠣⠴⠤⠊⠁⣀⠜⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠔⠛⠙⡉⠉⡁⠀⠀⠀⠮⠄⠀⠀⣈⢬⠁⠉⠉⢸⠉⠢⠀⠀⠀⠀⠀ ⠀⢠⡧⢀⠆⠀⠀⠉⠐⠒⠂⠀⠾⠝⠒⠉⠀⠸⡀⠀⠀⠀⣇⣤⡇⠀⠀⠀⠀ ⠀⠀⢀⠎⠀⠀⠀⡘⠀⠀⠀⠀⠀⠊⠀⠀⠀⠀⢇⠀⠀⠀⠘⡍⠀⠀⠀⠀⠀ ⠀⠀⠀⠳⠤⢠⠴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠦⠤⠐⡎⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀ ⠉⠉⠉⣡⠇⠀⠸⠤⠍⠉⠉⠁⠀⠀⠀⠀⠀⠠⡤⠂⠀⠠⢄⡉⠉⠉⠉⠉⠉

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠐⠂⠉⠉⠑⢢⣄⣀⠀⠀⠀⠀⠀ ⠀⢀⠠⠐⠂⠀⠀⠀⠀⠀⠀⠀⠠⠁⠀⢀⣀⠀⠐⢈⠡⠤⠵⣍⡀⠀⠀⠀ ⠔⢁⢔⡢⠤⡄⠀⠀⠀⠀⠀⢀⠁⡄⠀⡀⠀⠁⠀⠀⠀⠀⠀⢱⠉⠀⠀⠀ ⠀⠀⡯⠤⡆⡎⡱⠀⠀⠀⠀⢼⠺⡇⠈⠛⢀⠀⠈⡆⠀⠀⠀⢸⠀⠀⠀⠀ ⠀⠀⡅⢼⠑⣆⡗⢤⡀⠀⠀⠀⢆⠘⢄⠀⠘⠃⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀ ⠀⠀⠀⠀⡱⡨⠞⡀⠉⠢⣄⣀⢸⡳⢄⡙⠒⠀⠀⠀⢀⠠⠊⠀⠀⠀⠀⠀ ⠀⠀⠀⠐⠌⠀⠃⠔⠀⠀⠀⠀⠘⠈⠢⣈⠉⠁⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠤⠁⢁⠀⠀⡇⠀⠀⠈⠳⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠀⠂⠐⠀⠧⠀⠀⠀⠀⠀⡑⠤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⠤⠤⠤⠤⠧⠭⠭⠭⠭⠭⠭⠭⠿⠮⠤⠤⠼⠬⠭⠵⠤⠤⠤⠄

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠀⠀⣿⡿⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢿⡇⠀⢠⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣇⣀⣸⣆⣀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠞⠉⠁⠹⠀⠀⠧⠈⢹⠳⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣯⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⣄⠀⠀⠈⠉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⢨⣷⣶⣶⣤⣤⣄⣀⠀⠀⠀⠀⠒⠋⠉⠉⠉⠙⠛⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣴⢦⡾⠸⠷⣦⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢸⡟⠀⠀⣶⠈⠉⠙⣿⠿⣷⠶⣶⣶⣶⣤⣀⡀⠀⣼⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠃⠀⠀⠀⠀⢰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⣴⠘⣿⡀⠀⠀⠀⠀⣰⠏⠰⡇⠰⠿⠀⠈⠉⠛⣿⡏⠉⠀⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⡄⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠈⠛⠶⠤⠤⠞⣋⣀⡀⢿⡄⠀⠀⠀⠀⣸⡿⠀⠀⢀⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠿⣶⣶⣶⡾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⡀⠀⠻⣄⠀⠀⠉⠛⠋⠉⠙⠓⡶⠶⠾⠋⠀⣸⣶⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⠶⠶⣶⣶⠀⠀⠀⠀ ⠀⠀⠀⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣄⠀⠈⢳⡦⣤⣄⣠⣤⣴⢾⡿⠀⠀⢀⣴⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⡏⠁⠀⣴⣒⣋⣁⣀⣀⣀⣀ ⠀⠀⠀⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣄⠀⠙⠦⣄⣀⣠⠴⠋⠀⢀⣴⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡟⠛⢷⣄⡀⠀⠀⠀⠀⠀⣀⣰⠞ ⠀⠀⠀⠈⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣶⣦⣤⣤⣤⣤⣶⡾⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠉⠙⠛⠛⠛⠉⠉⠁⠀⠀ ⠀⠀⠀⠀⠘⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡉⡋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⢿⣶⣤⣤⣀⣀⣀⣤⣤⣤⣴⣶⡶⣶⣶⣿⣿⠿⠿⣿⣿⣿⣷⣶⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠋⠉⠉⠉⠀⠀⠀⣿⡏⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⢿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠛⢿⣿⣶⣄⣀⠀⠀⠀⢀⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠁⠀⠈⠛⠻⢿⣿⣶⣶⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡀⠀⠀⠀⠀⣠⣾⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣷⣶⣶⣾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠖⠛⠛⠛⠛⠲⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⠉⠀⢀⣤⣤⡀⠀⠀⠀⢘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠁⠀⠀⠀⢿⣀⣠⠇⣀⣀⠀⣸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⣞⠉⢹⡶⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠈⠁⠢⣄⠀⠀⠀⠀⣩⡿⠛⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⣿⣿⠿⠷⣤⣀⣀⣨⣧⡤⠶⠛⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢋⣴⠟⢻⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⠋⣰⠟⠁⠀⢸⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⠁⣼⠋⠀⠀⠀⢸⡇⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⠇⣼⠃⠀⠀⠀⠀⢸⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡟⢸⡏⠀⠀⠀⠀⠀⠸⡇⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡇⣿⠀⠀⠀⠀⠀⠀⠸⡇⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⣹⡏⠀⠀⠀⠀⠀⠀⠀⡇⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣼⠃⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⡿⢧⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⠈⢧⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠘⣧⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⠈⣧⠀⠀⠀⠀⠀⠀⣸⣿⡄⠀⠀⠀⠀⢹⣿⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⠀⠘⡆⠀⠀⠀⠀⠀⣿⡿⠃⠀⠀⠀⠀⠈⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⠀⠀⢻⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⠀⠀⠀⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠇⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣴⡃⠀⠀⠀⠀⠰⢷⣾⣷⣶⣶⡶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠛⢿⣿⣿⣷⣦⣶⣶⣾⠿⠿⢿⣿⣷⠿⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⠀⠈⠁⠀⠀⠠⠶⠾⣿⣿⣶⣶⣶⣿⢛⡿⠟⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠰⠾⠯⣝⠒⠒⠀⠀⠀⠤⠄⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⣿⠟⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⢉⠀⢠⡀⠉⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⢀⡄⢰⣾⣧⣿⣿⣦⠀⣀⢀⣀⣀⣀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⣻⡄⢺⠇⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣆⣿⠆⠀⢻⣿⣿⡿⣿⣿⣻⣿⣿⣿⣿⣿⣿⡿⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠈⠀⠀⣀⡤⠄⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣦⣾⣿⣿⣿⣴⣿⣿⣿⣛⣿⣿⣿⡿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⣉⠉⠉⠁⣀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡼⣯⣴⣿⠆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣹⣍⠀⠀⣀⣠⡤⡖⠛⠹⡍⠑⣦⢤⣾⣿⣿⣿⣿⣿⣿⠻⣿⣷⣦⡙⠳⣦⡤⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣧⣼⡓⠉⠃⠀⠘⡗⢢⠀⠁⢀⣽⠉⠀⢰⣿⠻⣟⠛⠿⡷⠛⠻⠟⠻⠆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⠔⠊⠉⠀⠈⢿⣀⣠⣼⣶⣾⣾⣿⢿⡿⠃⠀⠀⠈⠉⠀⠹⡷⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⠤⢶⠊⠁⣿⣄⣠⣤⣶⣶⣿⠶⠿⢿⠿⠟⠋⠉⠙⠊⠀⠀⠀⠀⠀⠀⠀⠀⣿⡍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣴⣾⣏⣧⣬⣿⣶⡿⠟⠛⠋⠉⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⡿⠿⠛⠛⠉⠉⠀⠀⠈⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠷⠛⠀⠀⠀⠀⠀⠘⠿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⠷⣿⣶⡶⢾⢿⣶⣶⣷⡟⡷⣶⣿⣶⣶⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⣿⡏⡽⢩⠏⢟⠙⣿⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⡟⢱⠃⣥⣤⠀⠈⣽⡌⢹⣿⢿⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⡁⡞⠀⠛⠛⠀⠈⠛⠃⠀⢿⢺⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢸⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⣿⣿⡄⠀⣿⣄⡀⣀⣾⠆⠀⣠⣿⣿⡆⠀⠀⠀⠀⠀ ⠀⠀⣠⡾⣿⣿⣿⠿⣦⣈⠙⠛⠛⣉⣠⣾⢿⣿⣿⣿⣆⠀⠀⠀⠀ ⠀⠸⠟⠁⢻⡿⣿⠀⠈⠙⠛⢿⡿⠛⠋⠁⢸⣿⣿⣿⠻⣦⡄⠀⠀ ⠀⠀⠀⢀⣾⠃⣿⠀⠀⠀⠀⢸⡇⠀⠀⠀⠘⣿⢿⡄⠀⠈⢁⣴⡆ ⠀⠀⠀⠿⠃⠀⠁⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠈⠻⢀⣠⣾⣿⣦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⢀⣠⣴⡾⠟⠛⠉⢻⣦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣼⣷⣤⣴⠾⠟⠋⠁⠀⠀⠀⠀⠀⠀ ⣤⡀⠀⠀⢀⣠⣤⡶⠿⠛⣽⠏⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⣿⣶⠿⠛⠋⠉⠀⠀⣼⠏⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⡿⠁⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀ ⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀ ⠀⠀⠛⠛⠛⠛⠛⠛⢿⡿⠿⠿⠟⣿⠟⠛⠛⠛⠛⠛⠛⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⣠⣿⣤⠄⠀⢠⣤⣿⣧⣄⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠛⠛⠋⠉⠁⠀⠀⠀⠉⠉⠉⠛⠛⠃⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠤⠤⠤⢤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠴⠒⠒⢲⡶⢶⣏⠉⠉⠀⠀⠀⠀⠀⠀⠉⠛⠶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⡀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⠃⣠⠴⡖⠲⣆⠘⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⠖⠒⠚⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⠛⠈⣷⠀⢻⠀⢻⡄⠀⠀⠀⠀⠀⣠⠞⠁⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠈⣇⠀⣷⠀⠀⠀⠀⠀⠋⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⢸⣦⠾⠶⣤⡀⠀⠀⠀⠀⢸⠀⠀⣤⠀⠀⠀⠀⠺⠲⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠉⢹⡃⠀⠀⢈⣿⣀⠀⠀⠀⢸⡀⢰⠃⠀⠀⠀⠀⠀⣀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⣀⢘⣿⡶⠖⡏⠀⠈⠛⠦⣄⣸⣷⠟⠀⢰⣷⣄⠀⢸⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⢀⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢹⡁⢳⠀⢻⠀⠀⠀⠀⠀⠁⠹⣷⡀⠈⢿⣿⡆⠀⠹⠿⠀⠀⠀⠀⠀⠀⣠⡴⡋⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠈⡆⠘⣇⠀⠀⠀⠀⠀⠀⠈⠻⣶⣂⠉⠀⠀⠀⠀⠀⠀⠀⢀⣤⣞⣋⣹⣇⣰⠏⢳⡦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⢹⡀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠷⣦⣄⡀⣀⣤⠴⠚⠉⠀⣀⣠⠿⠋⠁⠀⠀⠻⡄⠉⠳⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡺⣧⠀⢇⠘⣧⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠈⠙⠲⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⢿⡄⢸⡀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠙⠲⣄⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠟⣷⣤⣧⡞⡇⠀⠀⠀⣠⡤⠞⠛⠲⠶⢤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠈⠙⢦⣄ ⣀⣀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣈⣷⡌⢠⡧⠶⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠓⠒⠲⠦⠤⣤⣀⣀⡀⠀⠀⠀⠀⠘⣇⠀⠀⠀⢀⣀⣠⡤⠴⠞⠛ ⠀⠉⠉⣉⡽⠟⠚⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⠖⠚⠉⠉⠓⣯⠭⣿⣤⣤⠴⢺⡖⠚⠉⠉⠁⠀⠀⠀⠀⠀ ⢀⣤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡁⠀⠀⠀⠀⣀⡴⢋⡴⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁ ⢾⣥⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⣡⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⠛⠲⠤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠴⠒⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⢦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠤⠖⠒⠒⠒⠚⠋⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⢤⣀⠀⠀⠀⣠⠴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡾⣻⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⣴⢛⣡⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠶⠚⠛⠛⠾⢧⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠾⠗⠛⠓⠒⠶⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⢰⣆⠀⢹⡌⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⢹⡇⠀⢠⡆⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠀⠀⠉⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠘⠀⠀⠘⠁⠀⠀⠀⠀⣀⣠⡤⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠈⢷⠒⣶⣶⡶⠒⠒⠒⠒⢺⣟⡿⠀⠀⠀⠀⠀⠀⠀⠐⣿⢀⣀⣀⣀⣠⡤⠴⠖⠛⢉⣉⣸⠃⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠈⢻⣍⠉⠉⠛⣦⣀⣴⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢹⣆⠈⢻⡄⠀⣠⡴⠖⢋⡭⠟⠁⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⡰⣄⠀⠀⠈⠙⠓⢚⣟⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⡈⠻⠿⠷⠶⠚⠉⠀⠀⠀⢀⣠⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⢾⡟⠻⠿⠖⠒⠒⠚⢻⡏⠀⠀⠀⠀⠀⠀⠀⣠⠴⠖⠀⠀⠀⠀⠀⠈⠙⠒⢶⡾⠶⠶⠶⠶⠚⠛⠋⢹⡟⠛⠲⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡞⠉⠀⢸⠇⠀⠲⣤⣀⡀⠀⠼⠀⠀⠀⠀⠀⠀⠀⠀⠰⠞⠛⠋⠁⠀⠀⠀⢀⣠⡴⠾⣧⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠹⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⣻⡀⠀⢀⡿⠀⠀⠀⠀⠈⠉⠛⡲⠶⢤⣄⣀⣀⣀⠀⠀⢠⣶⡛⣿⣤⡴⠶⠚⠋⠉⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⢹⣆⠀⢀⣀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡿⠁⠀⣾⠃⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠉⠉⠁⠈⠻⠞⠋⡀⠀⠀⠀⠀⠀⠀⠀⠹⣇⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⣿⡙⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠶⠶⠾⠃⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠘⣷⡙⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⢶⣤⣀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⣀⣀⣀⣀⣤⠴⣶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠉⠙⠛⠻⡏⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⡏⠉⠁⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⢸⡇⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⠒⠒⠒⠒⠚⠓⠒⠒⠂⠘⣇⡀⠀⠀⠀⢿⣀⠀⠐⠒⠒⠒⠒⠒⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⢀⣼⠁⠀⠀⠀⠀⣿⠀⠈⠙⠒⠒⠒⠒⠒⠒⠒⠛⠛⠛⠒⠒ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⣶⣟⠋⠁⠀⠀⠀⠈⠙⠛⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡛⠛⠉⠀⠀⠀⠀⠀⠛⠷⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣇⣸⣀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣄⠀⠀⠀⠀⠀⠀⠠⣆⡁⠈⠀⠀⠉⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⠀⠀⠀⠀⢠⠂⡦⢤⣍⣀⡀⠀⠒⠒⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡎⠉⠈⡇⠀⠀⠀⠸⢄⢇⠈⠀⡜⠏⠏⠛⢲⠚⢹⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠳⢤⠼⠁⠀⠀⠀⠀⠸⡀⠫⡁⠒⠚⢢⠴⠋⡦⠞⠀⠀⠀⠀⣠⠤⢤⡄⠀⠀ ⠀⢸⡄⠀⠀⠀⠀⠀⠀⠹⢦⣘⠭⠭⢋⣠⠞⠁⠀⠀⠀⠀⡴⠳⣄⣁⣀⠩⠃ ⠀⠀⢳⣄⠀⠀⠀⠀⢀⣀⣀⣉⣹⣋⡉⠁⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠉⠛⠉⠉⠉⣿⠁⠀⠉⠉⠙⢳⣦⣄⡀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⢰⡇⠈⠛⠳⠶⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢲⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠋⢉⣠⡤⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣼⠗⠒⠞⠛⠒⠦⠤⣀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⢀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢀⠀⠀⢰⠋⠀⡃⠀⠀⣻⣿⡑⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢸⠉⠱⡄⠀⠀⢼⣿⡆⠀⠙⠟⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠘⣆⠀⡡⠀⠀⠀⠉⠀⠀⣠⡤⠤⠄⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢆⠀⠈⡏⠁⠀⠀⠀⠀⣠⡾⠉⠀⠀⢀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢤⡁⠀⠀⠀⠀⠘⠃⠀⠀⣀⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠈⠑⠒⠦⠤⠶⠶⣞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⣰⣶⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⢀⡴⠁⠘⢿⠇⠈⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣛⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⣠⠞⠀⠀⠀⣼⡆⠀⠀⠈⠓⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢫⣸⣷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢀⡼⠁⠀⠀⠀⠀⣿⣿⡀⠀⠀⠀⠀⠙⠦⡀⠀⠀⠀⠀⠀⠀⢰⠋⠀⠈⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⣰⠋⠀⠀⠀⠀⠀⢀⣿⣿⣇⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⡸⢦⣀⣴⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠞⠁⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢤⣀⠞⠁⠀⠈⢫⡇⠀⠀⠀⠀⠀⠀ ⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠑⣫⠉⠉⠉⠉⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡁⠀⠀⠀⠀⠀

⠀⠀⣀⣤⣴⣶⣶⣶⣶⣶⣤⡀⠀⠀⠀⠀ ⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀ ⢠⣿⣿⣿⣿⣥⣴⣾⣿⣿⡿⠿⠿⡗⠶⠃ ⣼⠀⠀⠀⢰⣗⠀⣹⠂⠀⠀⠀⠀⡿⠀⠀ ⢿⠀⠀⠀⠀⡁⠀⠉⣀⠀⠀⠀⢠⠃⠀⠀ ⠘⣆⠀⣠⣀⡉⠋⠉⠀⠀⢀⡴⠃⠀⠀⠀ ⠀⠈⡿⠿⣅⣀⣀⠤⠴⠚⠁⠀⠀⠀⠀⠀ ⠀⡼⠁⠀⣰⢿⡿⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠰⣇⡤⠞⠁⢸⠀⠘⢦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀

⠀⣠⠖⠛⠛⠓⠲⢤⡀⠀ ⢠⠃⠀⠦⠀⠀⠀⠀⠹⡆ ⢺⠀⠀⡀⠀⣒⠀⠀⠀⡷ ⢸⡀⠀⠉⠉⠁⠀⠀⡰⠁ ⠀⠑⢦⠤⣀⡠⢤⠚⠁⠀ ⠀⠀⢸⠁⠀⠀⡜⠀⠀⠀ ⠀⠀⡰⠀⠀⠀⢇⠀⠀⠀ ⠀⠀⡏⠀⠀⠀⢺⠀⠀⠀ ⠀⠀⠁⠀⠀⠀⢸⠀⠀⠀ ⠀⠀⡇⠀⠀⠀⡸⠀⠀⠀ ⠀⠀⡇⠀⠀⠀⡇⠀⠀⠀

⠀⠀⠀⠀⠀⢀⣀⣤⣴⣶⣶⣶⣶⣶⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀ ⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀ ⠀⣾⣿⣿⣿⣿⣿⣿⠟⠋⠉⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣀⣤⡄ ⢠⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠟⣿⡏⠛⠋⠁ ⣼⠋⠁⠀⠀⠀⠀⣼⣿⡄⠀⠘⢷⠤⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀ ⣿⠀⠀⠀⠀⠀⠀⢿⣿⠇⠀⢤⡼⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀ ⢻⡆⠀⠀⠀⠀⠀⠰⠿⣤⣤⠶⠖⠛⠋⠀⠀⠀⠀⣠⡟⠁⠀⠀⠀⠀ ⠈⢻⣄⠀⠀⣼⣧⣤⡄⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⢶⣿⣿⠏⠉⠁⠀⠀⠀⣀⣀⣤⠶⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡿⠋⠙⠛⢻⣿⣿⣿⡛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⡿⠁⠀⠀⢀⣼⡟⣿⠻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣾⠁⠀⠀⣠⣾⠟⠀⣿⠀⠘⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⣤⣶⠟⠋⠀⠀⠀⣿⠀⠀⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⢘⣷⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⣀⣠⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣴⠞⠋⠙⠉⠉⠉⠛⠛⠶⣤⡀⠀⠀⠀ ⢀⣾⠙⠀⠀⣄⠀⠀⠀⠀⠀⠀⠈⠻⣆⡀⠀ ⣸⠃⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀ ⣿⠈⠀⠀⠀⠀⠀⠀⢛⠀⠀⠀⠀⠀⠀⣿⠶ ⣿⠀⠀⠀⠀⠻⠶⠶⠿⠁⠀⠀⠀⠀⣰⠏⠀ ⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠏⠀⠀ ⠀⠈⠳⣦⣀⡀⠀⠀⠀⣀⣠⡴⠏⠁⠀⠀⠀ ⠀⠀⠀⠀⣽⢍⠉⠉⠉⠉⣿⡂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡟⠈⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⢇⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣏⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⢀⣀⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣴⣶⣷ ⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⣿⡏⠙⠛⠋⠁ ⠀⣿⠟⠛⠉⠉⠉⠉⠉⢉⢹⣿⡙⠀⠀⢰⣶⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⠀⠀⠀⠀ ⢰⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⣯⡏⠀⠀⠀⠭⠍⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠇⠀⠀⠀ ⢸⣿⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⠗⠀⠀⠻⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⠀⠀⠀⠀ ⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠁⠀⠀⠀⠀ ⠨⣿⡄⠀⠀⠀⠀⠀⠀⠀⢠⣿⣇⣀⣀⣠⣤⡴⠾⠟⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀⠀⠀⠀ ⠀⢹⣧⠀⠀⠀⠀⢀⣤⡄⠀⡉⠙⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⣷⡄⠀⣠⣼⣿⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠿⣷⣿⡿⠿⠁⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡶⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⣿⠛⠻⠿⠷⢶⣶⣶⣶⡶⠾⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⡿⠁⠀⠀⠀⠀⣰⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⣿⠁⠀⠀⠀⠀⣰⣿⠏⣸⡇⠙⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣿⠇⠀⠀⠀⣠⣾⡿⠋⠀⣿⡇⠀⠈⢻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣄⣠⣶⣿⠟⠉⠀⠀⠀⣿⡇⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠛⠛⠉⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠘⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠙⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⣠⣤⡶⣿⣿⣷⣷⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣾⠟⠉⠀⠉⠀⠀⠀⠈⠉⠉⠛⠷⣦⡀⠀⠀⠀⠀ ⠀⠀⢰⡿⠭⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀ ⠀⢠⡿⠈⠀⠀⠀⠘⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡁⠀ ⠀⢸⡇⡥⠀⠀⠀⠀⠀⠀⠀⢀⣄⠀⠀⠀⠀⠀⠀⠀⠸⣷⣀ ⠈⢸⠇⠀⠀⠀⠀⢀⡀⠀⠀⠈⣧⡁⠀⠀⠀⠀⠀⠀⢰⡟⢿ ⠀⢸⡆⠀⠀⠀⠀⠸⢿⣶⣶⣾⡿⠁⠀⠀⠀⠀⠀⢀⣾⠃⠀ ⠀⠸⣧⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠋⠀⠀ ⠀⠀⠹⣷⣄⠆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠟⠁⠀⠀⠀ ⠀⠀⠀⠈⠙⠷⢦⣤⣀⣀⣀⣀⣀⣤⣤⡾⠛⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡏⡍⠉⠉⠉⠉⠉⢹⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⠇⠇⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡏⡅⠀⠀⠀⠀⠀⠀⣹⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡇⠅⠀⠀⠀⠀⠀⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣠⣤⣀⡀⠀⠀⠀⠀⠀⠀⣴⡿⠛⠻⠶⣶⠶⠶⢶⣤⡴⠟⠋⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣼⠟⠉⠀⠉⢻⡄⠀⠀⠀⠀⠀⢿⣦⣀⣀⣤⣼⣷⣤⣴⣿⣀⣀⣀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀ ⠀⠸⣯⠀⠀⠀⢀⣼⠇⠀⢀⣠⡴⢾⣻⣿⠟⠛⠉⠉⠉⠁⠈⠉⠛⠛⠿⢭⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⠟⠋⠉⠉⠳⣆ ⠀⠀⠙⠻⠶⢶⡟⢋⣠⡾⣛⣷⣾⡿⠋⠀⠀⠀⠀⢤⡀⠀⢀⡀⠀⠀⠀⠀⠹⣯⠳⣦⡀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⣰⠟ ⠀⠀⠀⠀⠀⣨⣿⡟⢋⣴⠟⢡⣿⠁⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⡀⠙⢦⡀⠀⠀⠀⠀⣠⣿⡀⣀⣀⣴⠞⠉⠀ ⠀⠀⠀⢀⣴⠟⠈⢻⣾⠃⠀⢸⣇⠀⠀⠀⠹⣧⡀⠀⠀⠀⠀⠀⢀⣴⡿⠀⠀⣾⠏⢿⡄⠈⢷⡀⢀⣴⡿⠛⠉⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⢀⣾⠏⠀⣠⡿⠙⢷⣄⣼⠟⣦⡀⠀⠀⠈⠙⠒⠦⠤⠴⠶⠛⠁⠀⢀⣼⣿⡀⠈⢿⣀⣼⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣾⠏⠀⣰⣿⠁⠀⠀⢹⣿⣄⠀⠙⠷⣤⣀⠀⠀⠀⠀⠀⢀⣀⣤⡾⠟⠁⠘⣧⣠⣾⣿⠉⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣸⡏⠀⠀⣿⠇⠀⠀⢀⣿⠁⠙⣷⡀⠀⠀⠉⢉⣿⢿⡟⠉⠉⠉⠁⠀⢀⣠⡶⢿⡏⠀⢹⡄⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣿⠀⠀⢸⣿⠀⠀⠀⢸⡏⠀⠀⠈⠻⣦⡀⠀⣼⡏⠈⣿⡄⠀⢀⣤⡾⠛⠉⠀⠀⣿⠀⠸⣇⠀⠸⡷⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠟⠀⠀⠸⣿⠀⠀⠀⣾⠁⠀⠀⠀⠀⠈⠛⣺⡟⠀⠀⠸⣿⡾⠛⠁⠀⠀⠀⠀⢀⣿⠀⠀⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⠒⠀⠀⢿⡀⠀⠀⠀⠀⠀⣼⡟⠁⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠁⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⣀⣀⣀⣀⣤⣤⣤⣤⣴⡶⠶⠶⣶⣶⡶⠶⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠿⠚⠛⠛⢻⡏⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠃⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣇⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠁⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠦⠴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠶⠶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠒⣧⠙⠏⡖⠋⠷⠝⠌⠺⠜⠾⠄⠧⠬⠣⠌⠍⠂⠳⠛⠛⠄⠚⠂⠎⠃⠠⠖⠧⠪⠖⠆⣆⣥⠦⡺⣒⡔⠊⡒⠰⠖⠄⡧⡦⡶⠣⡣⠔⢄⡐⢆⠒⣂⠂⠂⣶⡤⡄ ⢸⣝⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠁⠀⠈⠈⠈⠉⠈⠀⠀⠈⠀⣽⠇⡇ ⢘⣟⠩⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⡍⡇ ⠸⡏⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢤⠦⠶⠦⠦⠤⠄⡤⣄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠵⡇⡇ ⢨⣭⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢁⡇⠀⠀⠀⠇⡀⠀⡇⠀⠙⡧⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡫⡇⡅ ⠊⣯⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⢸⠀⢀⡀⠀⠀⠓⠒⠂⣠⠀⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠩⡂⡄ ⡇⠽⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⡦⡀⠉⠉⠉⠉⠉⣉⠠⡶⠿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⡃⡇ ⠭⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⣿⠏⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⡅⡇ ⠇⢾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠶⠋⢹⣿⣳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠕⡇⡇ ⣻⢽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠴⠖⠋⠉⠀⠀⠀⡻⡮⠈⠉⠙⠃⠒⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⡧⡇ ⡇⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⠏⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⣻⡅⠀⠀⠀⠀⠀⠀⠈⠙⢷⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣟⠄ ⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠧⠁ ⠓⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣏⠁ ⡀⣧⠄⡤⢄⠄⣄⠄⡤⢠⢤⢠⡄⡤⡤⣦⣮⣭⣥⣠⠖⢔⠶⠆⡂⢤⣀⢿⢀⣠⢀⡀⣀⢀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡦⣏⠅ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠉⠈⠉⠈⠉⠁⠉⠈⠈⠁⠉⠁⠉⠉⠈⠉⠙⠉⠊⠓⠛⠏⠩⠝⠏⡂⠧⠅⠥⠵⠱⢅⠇⡤⢷⠤⡶⡦⡽⠦⢲⠵⢦⢮⢆⣖⣟⠆⠃

⠀⠀⠀⠀⣀⢰⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⡶⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣗⣇⠀⠀⢀⡤⠤⣀⡀⠀⠀⢸⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀⣇⢌⡡⣤⠃⠀⢠⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢳⣄⠀⠉⡟⠁⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣭⡷⢖⣲⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣞⠅⠁⠀⠀⠈⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠙⡆⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣶⣶⣶⣶⣶⣶⣶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⣿⣿⣿⡿⠞⠛⠋⠉⠛⠛⠛⢿⣿⣿⣷⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⣿⣿⣿⣯⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠿⣿⣿⣿⣿⣶⣀⣀⣀⣄⣀⣄⣴⣾⣿⣿⡿⠓⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⢛⣻⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀ ⠀⠀⢀⣠⣾⣿⣿⣿⣿⡿⠟⣿⣿⣿⣿⡗⠙⠻⠿⣿⣿⣿⣷⣦⣄⠀⠀ ⠠⣶⣿⣿⣿⣿⡿⠛⠉⠀⠀⣿⣿⣿⣿⣧⠀⠀⠀⠈⠙⠛⠻⣿⣿⠿⠂ ⠀⠈⠉⠉⠋⠁⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣷⣦⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⡿⠟⠁⠙⢿⣿⣿⣿⣿⣤⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⣿⣿⣿⡿⠏⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣷⣄⠀⠀⠀⠀ ⠀⠀⠀⣠⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣿⣿⣿⣿⣿⡄⠀⠀ ⠀⠀⣼⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⠿⠄⠀

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