Carpincho Emoji Combos

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀ ⠀⢀⣀⣀⣀⣀⠀⠀ ⢀ ⠀⠀⠀⢀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀ ⠀⢀⠠⠐⠀⠀⠀⠀⠂⠄⡀⠀⠀⡀⠐⠈⠀⢀⣀⣤⠶⠶⠛⠛⠋⠉⠉⠉⠉⠙⠛⠛⠶⢦⣤⣀⠀⠀⠑⠠⠠⠀⠁⠀⢀⣀⣀⠀⠈⠀⠄⠀⠀⠀ ⠠⠁⠀⣠⣴⡶⣶⣦⣄⡀⠀⠑⠀⠀⢀⣤⠾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢦⣄⠀⠀⢀⣴⡾⣛⢏⡟⣷⣦⠀⠈⡄⠀⠀ ⡇⠀⣼⣏⠳⣜⡱⢎⡽⢿⣄⠀⣠⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⣾⢏⠶⣩⠞⡜⢦⣻⡇⠀⠀⠀⠀ ⡆⠀⢹⣏⡳⣌⠳⣍⠶⣩⣿⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣮⡳⢥⡛⣜⢣⣿⠃⠀⡀⠀⠀ ⠡⠀⠈⢿⣵⢎⡽⣌⢳⣽⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡧⣹⣬⡿⠃⠀⡠⠁⠀⠀ ⠀⠁⡀⠀⠉⠛⠻⢞⣿⠃⠀⠀⠀⢀⣠⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣄⠀⠘⣿⡋⠁⠀⣀⠔⠀⠀⠀⠀ ⠀⠀⠈⠐⢠⠀⠀⣼⠃⠀⠀⠀⠀⠘⠻⠿⠟⠛⠀⠀⠀⠀⠀⠀⠛⠳⣦⣠⡾⠛⠁⠀⠀⠀⠀⠀⠀⠘⠻⠿⠛⠋⠀⠀⠘⣧⠀⠀⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠆⠀⣸⠇⢀⡄⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡠⣽⡆⠀⢠⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠀⠀⣿⢰⡏⣵⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣹⣧⠀⠘⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠀⢰⡏⠙⠀⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⢠⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⠀⠈⣷⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣼⣇⠀⠈⠄⠀⠀⠀⠀ ⠀⠀⠀⠰⠀⢀⣤⣿⠿⡿⣷⢶⣶⣤⣤⣤⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣠⣤⣤⣴⡶⣶⢿⡻⢯⣝⣻⣧⠀⠸⠀⠀⠀⠀ ⠀⠀⠀⡄⠀⢸⣿⠼⣹⡱⣭⢞⡜⡧⢯⡝⢯⣛⢯⡻⣝⡻⣟⠿⡿⢿⠿⣟⠿⣿⢻⣏⠿⣹⢏⡟⡯⣝⢮⢳⡝⢮⡳⢭⣳⣚⣼⣿⠀⠀⠡⡀⠀⠀ ⠀⢀⠎⠀⢀⡶⠛⢿⣵⣛⡴⣫⢞⣭⢳⢞⣣⠟⣼⣱⢫⡵⢎⣟⡱⢯⡹⣎⢟⡲⣏⡼⢫⡵⢫⡞⣵⣋⡞⢧⡞⣧⣛⣵⣧⠾⠟⠙⢳⡄⠀⢠⠀⠀ ⠀⡌⠀⢠⡟⠁⠀⠀⢈⣙⣛⡻⠾⠾⣯⣾⣥⣿⣶⣭⣷⣾⣽⣬⣯⣷⣽⣼⣯⣵⣮⣽⣧⣿⣧⡿⠶⠿⠟⠛⠛⠋⠉⠁⠀⠀⣀⣠⡾⠃⠀⠸⠀⠀ ⠀⡇⠀⢾⣁⣀⣴⣾⣿⢿⡿⣿⣿⣿⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠁⠈⠈⠁⠉⠉⠉⠁⠀⠀⠀⠀⢀⣀⣠⣤⣤⣤⣴⣶⣾⣿⢿⣿⠀⠀⢰⠁⠀⠀ ⠀⠡⠀⠈⠉⠉⣿⣿⢯⡿⣽⣳⣟⣾⣳⣟⣿⣻⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⡿⣿⣟⣿⡻⣿⡽⣯⢷⣯⢿⡿⢷⡀⠀⢃⠀⠀ ⠀⠀⠄⠀⢀⡴⣿⣯⢿⣽⣳⣟⣾⣳⣟⣾⣳⣟⡾⣽⣻⣿⣶⣤⣄⣀⠀⠀⣀⣠⣴⣾⣿⣟⣯⢷⣻⢷⣻⢾⣽⣳⢿⣽⣻⣾⡿⠃⠈⣷⠀⠈⠀⠀ ⠀⠸⠀⢀⡿⠁⠻⣿⣟⣾⣳⣟⣾⣳⣟⣾⣳⢯⣟⣷⣻⢾⣽⣻⣟⡿⣿⣿⡿⣿⣻⡽⣾⡽⣞⣯⣟⣯⣟⣯⢾⣽⣿⡾⠟⠋⠁⠀⣠⡟⠀⠀⢄⠀ ⡐⠁⠀⣨⣿⣤⣄⡈⠉⠛⠛⠛⠳⠿⠾⠷⠿⠿⣾⣷⣯⣿⣾⣷⣯⣟⣷⣯⣟⣷⣯⣟⣷⣿⣽⣾⠿⠾⠿⠛⠛⠉⠁⠀⢀⣠⣴⣾⡿⣶⣦⡀⠀⢡ ⠇⠀⣼⣟⢣⢏⠿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⢾⣿⡿⢏⢧⠳⡜⣼⡇⠀⠸ ⡄⠀⢻⣎⠗⣎⠳⡜⢿⣷⣦⡴⠶⠶⠶⠶⢶⣤⣄⡀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⢀⣠⣤⡶⠶⠶⠶⠾⠛⣡⡿⢏⡼⣩⢎⡳⣹⣼⠃⠀⠘ ⢁⠀⠘⣿⣚⢬⢳⡙⣎⢿⣇⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠛⠛⠉⠉⠉⠉⠛⠛⠛⠶⠾⠛⠉⠀⠀⠀⠀⠀⠀⢰⣿⡙⣎⠶⡱⢎⣵⣿⠋⠀⢠⠃ ⠀⢂⠀⠘⢿⣎⢧⡹⣜⢪⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣧⢛⡬⢳⣙⣾⠟⠁⠀⡠⠁⠀ ⠀⠀⠂⠀⠈⠻⢷⣷⣌⣳⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠾⠻⠾⠾⠟⠋⠁⠀⡠⠊⠀⠀⠀ ⠀⠀⠀⠑⠀⡀⠀⠉⠉⠉⠀⠈⠙⠛⠶⠶⣤⣤⣄⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣤⣤⠶⠞⠛⠉⠀⠀⡀⠀⣀⠀⠠⠐⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⠐⠒⠀⠀⠐⠀⠤⠀⡀⠀⠀⠈⠉⠉⠉⠉⠛⠛⠛⠛⠛⠛⠋⠉⠉⠉⠁⠀⠀⠀⠀⠤⠐⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣦⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠂⠀⠀⠀⣀⣀⡤⠤⠶⠒⠒⠒⠚⠓⠉⠉⠘⠓⠓⠲⠾⣿⣷⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⢀⣠⠔⠢⠍⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣬⢽⣷⣄⠀⠀⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢏⠒⡦⠀⠀⠀⠀⠀⠀⠠⠀⢀⢂⣀⣂⡄⡈⠀⠠⠐⠸⣻⣿⠟⣠⠇⠹⣷⡄⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⡼⡑⢾⡟⣸⠅⠀⢀⠀⠂⠁⠀⠀⠈⠛⠿⠿⠿⠓⠀⠀⠀⠀⢋⣥⡾⠋⠀⠀⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠀⢰⠳⢡⠎⣐⢇⣀⣀⠀⠀⠀⡀⠠⠐⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠀⠀⠀⠀⡀⠀⠙⠒⢦⣄⡀⠀⠀⠠⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡙⣤⠾⣻⠟⡟⢛⠿⢿⣳⣤⡄⠀⠀⠠⠀⠀⠄⠂⠈⠀⠀⠠⠀⠀⢀⠠⠀⠀⠀⢀⠀⠀⠈⠻⢦⣄⣀⣀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⠀⣨⠿⣙⠹⣛⠱⣌⣊⡜⡰⠌⠙⠾⣷⣆⠀⠀⢀⠀⠀⠀⠀⠄⠀⠀⢀⠀⠀⠀⠀⠠⠀⠀⠀⡀⠀⠀⠋⠙⠋⠟⠷⣦⣄⡀⠀⠁⠀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡼⣅⠓⠤⠓⣄⠣⠍⣍⠒⡹⠂⠀⠀⠘⠿⣷⡄⠀⠀⠀⠐⠀⠀⠀⠠⠀⠀⠀⠀⠂⠀⠀⢀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠆⠀⡸⠑⣢⢉⠎⡱⢠⠣⠍⠒⠉⠀⠀⠀⠄⠀⠀⠙⢿⣆⠀⠄⠀⠀⠀⠂⠀⠀⢀⠀⠁⠀⠀⠠⠀⠀⠀⠠⠀⠀⠀⠄⠀⠠⠀⠀⠀⠈⢻⢦⡀⠀⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠀⠀⣷⣿⣌⠉⠉⠁⠀⠀⠀⠀⠀⡀⠄⠂⠀⢠⡄⠀⠈⢻⡎⠄⠀⠀⠁⠀⠀⠠⠀⠀⠀⠀⠂⠀⠀⠀⠐⠀⠀⠀⡀⠀⠀⠀⠀⠀⠁⠀⠀⠱⡹⡄⠀⠀⡀⠀⠀ ⠀⠀⠀⠀⠈⠀⠀⣧⠀⠙⢷⣴⡄⠀⠀⡀⠈⠀⠀⠀⠀⡀⠈⢿⣆⠀⢸⣟⠃⠀⠀⠠⠀⠂⠀⠀⠀⡀⠁⠀⠀⠐⠈⠀⠀⢀⠀⠀⠀⠀⠁⠀⠠⠀⠈⠀⠀⠡⠹⡄⠀⠐⠀⠀ ⠀⠀⠀⠀⠀⠁⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠄⠀⠀⠀⠀⠋⠀⢸⡧⠀⠀⢀⠀⠀⠀⢀⠀⠁⠀⠀⠀⠄⠀⠀⢀⠀⠀⠀⠀⡀⠁⠀⠀⠀⠀⡀⠀⠁⠰⠂⢹⡀⠀⠀⠀ ⠀⠀⠀⠀⠐⠁⠀⢀⣿⡄⠀⠀⢀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⣿⡷⠀⠀⠀⠀⠀⠈⠀⠀⠀⢀⠠⠀⠀⠀⠠⠀⠀⠀⡀⠁⠀⠀⠀⠈⠀⠀⠀⠀⠠⠀⡆⠀⡇⠀⠠⠀ ⠀⠀⠀⠀⠁⠀⢘⣿⣻⡽⠀⠈⠀⠀⠀⠀⠀⠂⠀⠀⢈⣀⣠⣀⣌⣀⣻⣽⣆⠀⠀⠂⠁⠀⠀⡀⠄⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠐⠀⠀⢀⠀⢃⠀⢻⠀⠀⡀ ⠀⠀⠀⠀⠀⠀⠻⢷⣿⠃⠀⠀⠀⡀⠀⠁⢀⣀⣤⡷⢿⡻⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠀⠀⠀⠀⠄⠈⠀⠀⠀⠈⠀⠀⡀⠁⠀⠀⡀⠈⠀⠀⢀⠀⠀⢸⠀⢸⠀⠀⡇ ⠀⠀⠀⠀⠂⠀⢠⡾⠁⠀⠀⠀⠄⠀⣤⣶⡟⣯⢳⡝⣧⣛⡽⢦⡀⠀⢀⠀⠀⢀⠀⠁⠀⠀⠀⠀⠀⠐⠀⠀⠀⢀⠀⠁⠀⢀⠀⠀⠀⠀⠄⠀⠀⢀⠠⠀⠀⠀⠀⡆⢸⠀⠀⠃ ⠀⠀⠀⠀⠀⢀⠯⠀⠀⠀⠀⠄⠀⠠⣿⣟⣼⣣⠟⣼⢲⣭⡾⠷⢿⣷⣄⠀⠀⠀⠀⠀⡀⠄⠀⠂⠁⠀⠀⠀⠂⠀⠀⠀⡀⠀⠀⠀⠐⠀⠀⠀⡀⠀⠀⠀⠀⠁⠀⠃⡟⠀⢠⠀ ⠀⠀⠀⠇⠀⡸⠃⠀⠀⠀⠄⠀⠠⠀⠈⠉⠟⠚⠛⠛⠉⠁⠀⠀⠀⠈⠙⠻⢷⣦⣥⣀⣀⠀⠀⠀⠀⡀⠀⠁⠀⠀⠠⠀⠀⠀⢀⠈⠀⠀⠀⠄⠀⠀⠀⠄⠂⠀⠀⣞⠃⠀⠀⠀ ⠀⠀⠘⠀⢀⢇⠃⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣯⡁⠀⠀⠁⠀⠀⠀⠀⠂⠀⠀⠀⠄⠀⠀⠀⠀⠂⠀⠀⠠⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀ ⠀⠀⠀⢠⣾⠀⠀⠀⢀⣰⣄⠀⠁⠀⠈⠀⠀⠐⠀⠀⠐⠀⠀⠁⠀⠐⠈⠀⠀⠀⠀⠘⢿⣿⣦⣄⠀⠠⠐⠈⠀⠀⠀⠐⠀⠀⠀⠀⠂⠁⠀⠀⡀⠀⠀⠀⠐⣼⡟⠀⠀⠌⠀⠀ ⠀⢀⣴⢏⡷⣳⢖⣿⠟⠁⠉⠻⢶⡷⠃⠀⠀⡀⠠⠀⠀⠀⠄⠀⠠⠀⠀⠀⡀⠁⢀⣴⣾⠞⠉⠉⠛⠶⣤⠄⣀⠀⠈⠀⠀⡀⠈⠀⠀⠀⢀⠀⠀⠀⠀⢡⣾⠟⠀⠀⠀⠀⠀⠀ ⠀⢛⡿⣎⡗⣧⠟⠁⠀⠀⢀⡴⠋⠁⠀⠀⠀⣀⠄⣆⣒⣠⣐⣂⣀⣤⣤⠶⠴⠞⠛⠉⠀⠀⠀⠀⠀⠀⣀⣹⣶⣭⠦⣤⠀⠀⠀⠀⠐⠈⠀⠀⠀⢀⣾⠟⠁⠀⠀⠂⠀⠀⠀⠀ ⠀⠈⠉⠙⠟⠁⠀⠀⣠⡶⢯⡀⠀⠀⣀⣤⠶⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⡻⣽⢹⣚⡼⡁⠀⠀⠀⠀⠀⠐⠀⠀⠀⡀⢀⣿⠃⠀⠀⠂⠀⠀⠀⠀⠀⠀ ⠁⠀⠂⠄⠀⢀⣴⢿⣣⠟⣭⢻⣽⡿⠋⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠀⠺⣯⣷⢿⡹⣎⠷⣭⢞⡽⣦⣤⡀⠠⠀⠄⠀⠀⣀⣠⡺⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣹⣳⣭⡞⣵⠟⠁⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠙⠚⠓⠛⠛⠒⠛⠋⠉⠉⠉⠛⠓⠚⠋⠉⠉⠀⠀⠀⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠄⠀⠉⠁⠈⠻⠃⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣬⠷⣶⡖⠲⡄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠶⠋⠁⠀⠸⣿⡀⠀⡁⠈⠙⠢⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠉⠣⠬⢧⠀⠀⠀⠀⠈⠻⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡴⠃⠀⠀⢠⣴⣿⡿⠀⠀⠀⠐⠋⠀⠀⠀⠀⠀⠀⠘⠿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡴⠋⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠒⠓⠛⠓⠶⠶⢄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⡞⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢷⡄⠀⠀⠀⠀⠀⠀ ⢻⣇⣹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀ ⠀⠻⣟⠋⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣄⠀⠀⠀ ⠀⠀⠀⠉⠓⠒⠊⠉⠉⢸⡙⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠘⣆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⠀⠀⠀⠀⠀⢻⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⣧⡀⠀⠀⢀⡄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠇⠀⠀⠀⠀⠀⠀⢣⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡧⢿⡀⠚⠿⢻⡆⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠘⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠈⢹⡀⠀⠀⠀⠀⣾⡆⠀⠀⠀⠀⠀⠀⠀⠀⠾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⢷⣾⠀⠸⡷⠀⠀⠀⠘⡿⠂⠀⠀⠀⢀⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠳⢼⣧⡀⠀⠀⢶⡼⠦⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⡎⣽⠿⣦⣽⣷⠿⠒⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⣴⠃⡿⠀⠀⢠⠆⠢⡀⠀⠀⠀⠈⢧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣠⠏⠀⣸⢰⡇⠀⢠⠏⠀⠀⠘⢦⣀⣀⠀⢀⠙⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠿⢯⣤⣆⣤⣯⠼⠀⠀⢸⠀⠀⠀⠀⠀⣉⠭⠿⠛⠛⠚⠟⡇⠀⠀⣀⠀⢀⡤⠊⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⢸⣷⣶⣤⣦⡼⠀⠀⠀⣴⣯⠇⡀⣀⣀⠤⠤⠖⠁⠐⠚⠛⠉⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣛⠁⢋⡀⠀⠀⠀⠀⣛⣛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣀⠤⠿⢤⢖⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡔⢩⠂⠀⠒⠗⠈⠀⠉⠢⠄⣀⠠⠤⠄⠒⢖⡒⢒⠂⠤⢄⠀⠀⠀⠀ ⠇⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠈⠀⠈⠈⡨⢀⠡⡪⠢⡀⠀ ⠈⠒⠀⠤⠤⣄⡆⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⠀⢕⠱⠀ ⠀⠀⠀⠀⠀⠈⢳⣐⡐⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠁⠇ ⠀⠀⠀⠀⠀⠀⠀⠑⢤⢁⠀⠆⠀⠀⠀⠀⠀⢀⢰⠀⠀⠀⡀⢄⡜⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⡦⠄⡷⠢⠤⠤⠤⠤⢬⢈⡇⢠⣈⣰⠎⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣃⢸⡇⠀⠀⠀⠀⠀⠈⢪⢀⣺⡅⢈⠆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠶⡿⠤⠚⠁⠀⠀⠀⢀⣠⡤⢺⣥⠟⢡⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⢘⣒⣀⣀⣀⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣛⠛⢛⣿⣿⡿⠟⠂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⡀⠀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣷⣿⡆⠀ ⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀ ⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠜⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⣿⣿⣿⣿⠿⠿⣿⣿⡿⢿⣿⣿⠈⣿⣿⣿⡏⣠⡴⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣿⣿⣿⡿⢁⣴⣶⣄⠀⠀⠉⠉⠉⠀⢻⣿⡿⢰⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢿⣿⠟⠋⠀⠈⠛⣿⣿⠀⠀⠀⠀⠀⠀⠸⣿⡇⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⠀⠀⠀⠀⠀⠘⠿⠆⠀⠀⠀⠀⠀⠀⣿⡇⠀⠿⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣶⣾⣿⠛⢿⣧⣤⣤⣤⣤⣤⣤⣤⣦⣤⣄⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠃⠀⠀⠈⠻⠿⠿⠛⠋⠉⠉⠉⠉⠉⠉⢉⣽⣿⠿⣷⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⢁⣤⣬⣿⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⡿⠀⠀⠀⠀⠀⣠⣴⣶⠀⠀⠀⠀⢼⣿⠀⠈⠉⣿⡏⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠁⠀⠀⠀⠀⠘⠟⠉⠀⠀⠀⠀⠀⣾⣿⠀⠀⠀⣿⡇⣿⣇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡄⠀⠀⠈⠀⣿⡏ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣦⣀⡀⣰⣿⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣻⣿⡿⠃⠀ ⠀⠀⠀⠀⢀⣤⣶⡿⠿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⠟⠋⠀⠀⠀ ⠀⠀⠀⣰⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡏⠀⠀⠀⠀⠀⠀ ⠀⠀⣼⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀⠀⠀⠀⠀ ⢀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⠀⠀⠀⠀⠀⠀ ⢸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠀⠀⠀⠀⠀⠀ ⠈⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡆⠀⠀⠀⠀⠀ ⠀⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⠀⢸⣿⡅⠀⠀⠀⠀⠀ ⣰⣾⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⠀⢸⣿⠆⠀⠀⠀⠀⠀ ⣿⣧⣽⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⠃⠀⠀⢸⣿⠇⠀⠀⠀⠀⠀ ⠈⠉⠋⠉⠙⠿⢿⣶⣤⣀⣀⡀⠀⠀⠀⠀⠀⣀⣠⣦⡀⠀⠀⠀⢰⣿⡟⠙⢿⣦⣄⣀⣸⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠿⠿⠿⠿⠿⠿⠟⠛⠻⢿⣦⣤⣤⣾⠟⠀⠀⠀⠉⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢛⠃⣔⢦⠀⢈⢡⠑⣆⢂⡀⡘⠋⡀⣄⣒⠐⡄⠆⠀⢀⣤⣒⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢤⣀⡘⢾⣭⢘⡾⣿⣾⣿⣿⣷⣿⣿⣯⣅⡷⠐⠐⢸⠉⠸⡷⢾⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⡂⢩⢶⡳⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣟⣴⣽⡆⢏⣍⡘⣺⣽⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣌⠙⢹⣶⣒⡹⣯⡽⣿⣬⢷⣿⣿⣿⣿⣿⣿⣏⣿⣿⣭⡏⣬⣿⡼⠉⠉⠩⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⠁⠈⠠⢉⡷⢧⠘⣇⣹⣏⢻⣿⣷⣞⣯⣷⣿⣽⡿⢿⡿⣽⠻⣼⣏⡀⠀⠀⣈⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠶⣶⣴⣤⡴⠿⠏⢸⠝⣺⣯⣿⣿⡿⡿⢫⡽⣿⣿⢿⣿⣼⡷⣛⢿⣻⣵⣿⣿⡿⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠟⠁⠸⣓⡺⣾⣷⣿⡟⣟⠸⣇⣋⡱⢏⡿⣿⣿⣿⣿⢞⣿⢧⡹⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣛⣀⠀⢀⠃⠸⢇⡸⣿⣿⠣⠸⠃⠀⠀⠸⠛⠤⣛⣿⡿⣟⣻⣧⣟⣠⡜⣻⣇⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠦⠤⡠⠒⣶⠋⣙⢢⡳⠮⣿⣟⠀⠀⠀⠀⠀⠀⠀⠰⡹⢿⣱⠿⢟⣵⣉⢿⣧⡴⣬⠈⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠂⠙⡁⣀⠴⠂⠅⠬⠉⠈⠀⠐⢒⠀⠀⠀⠀⢀⡀⠠⠀⡀⠉⡁⠈⠉⠠⢞⡚⠽⣻⣬⢷⡀⠽⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠤⠤⢀⢔⡨⢎⠁⠀⠀⠀⢀⣤⣭⣤⣰⣘⡴⣋⣶⣰⣧⣾⣿⣿⣦⡀⡼⢵⣯⣛⣩⡝⣿⣵⣎⣿⡷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⡾⣂⢋⡰⠇⣫⣜⣫⡄⠀⠀⠀⠸⠿⣿⡿⡙⣿⣷⣿⣿⣿⢿⣿⣿⣿⢏⡃⠀⢤⣼⣽⣽⣯⣽⣻⣭⣟⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⣷⡚⡱⠓⢶⣲⣗⣪⢷⡖⡢⠀⠀⡜⣃⠍⠀⠘⢻⣿⣿⣿⡯⢂⢩⣿⡥⢿⡀⢲⣺⣿⣿⣿⣽⣿⣽⣿⣿⢻⣯⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣍⣷⠟⢷⣯⠯⣱⣭⠟⡿⠓⠂⠀⠀⠀⠰⠛⠁⣰⢦⢹⣿⣳⢚⡥⠂⡟⠙⠟⠀⠀⣻⣿⢿⣾⣿⣿⣿⢿⣿⣿⣿⣿⣿⣦⠀⡄⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡯⢿⣿⣟⢟⣽⠿⠛⢣⣴⠣⠀⠀⠀⠀⠀⠄⠒⠉⢣⣿⡟⣶⣧⡿⣾⣝⡋⠹⠦⠀⠀⠶⣿⣿⣯⣻⣿⣿⣿⣿⣿⣿⣿⣯⢿⣮⡁⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢨⣶⣿⣟⣡⣬⡵⠖⡽⢇⡐⠭⠀⠀⠀⠀⠀⠀⠠⠶⣨⣷⣾⣷⣿⡽⡖⠠⠜⢀⠆⠀⠢⠖⢿⣵⣎⠿⢯⣿⣾⣿⡿⣿⣿⣿⣳⣼⡧⣄⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢋⣿⣷⣛⠴⣫⠄⣋⢸⡅⠄⠐⠀⠀⠀⠀⠀⠀⠀⠀⣱⠼⣿⣿⣿⡷⢋⡤⣄⠦⡙⢈⠑⠤⡀⠒⠿⣽⢶⣯⣿⣿⣽⣿⣿⣷⣿⣼⣿⡀⠉⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣊⡱⢎⣷⡽⠲⣯⣾⡷⠉⣒⠢⣢⡴⠀⠀⠀⠀⠀⠐⡀⠤⢻⣿⡟⠉⠂⠀⠈⠑⠡⣀⡑⢶⣬⣐⣾⣭⣦⣝⣭⣛⠿⣿⣽⡿⢿⣻⣿⣭⠁⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠠⢴⡸⠋⢀⡿⢃⠀⢚⣩⣟⡴⠛⣥⠞⢋⠀⠄⠀⠀⠀⣀⠠⢃⢨⣳⣿⣽⣴⣆⣲⣍⣠⣁⠦⣘⣀⡻⣝⣾⣭⣽⣿⡷⢿⣿⣭⣛⣽⢫⢽⣿⡳⠄⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⢚⡵⢀⡁⠜⠢⣙⠤⡪⡡⣟⠉⣀⣠⡾⢏⠂⢊⣀⠔⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣯⣻⣷⣿⣧⣵⣿⣿⣯⢟⣿⢦⡟⠫⣤⣛⠾⣯⣟⣦⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠰⠈⢢⠴⠆⠠⠄⠀⠈⠒⣋⡴⢚⢟⣥⣆⡮⠸⠙⢋⠆⢻⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣧⣋⢿⣥⢻⣿⢿⣿⣿⣞⣛⢏⡙⣦⣈⠹⣿⣿⣿⡡⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⡄⠀⠂⢠⠀⠀⠀⠀⠐⠈⠘⣵⢫⣿⡏⡄⠁⣤⣾⢰⡎⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⡟⣦⣽⣾⣽⣿⣿⣽⣮⠓⡅⡌⢪⠋⣷⣦⣵⡟⣷⠁⠀⠀ ⡇⠀⠀⠀⠀⠀⠠⣺⡉⡄⠒⠡⠤⡀⠀⠀⠀⠀⠠⠇⣹⡥⠞⠃⣼⣿⢧⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⢿⣾⢽⡋⢮⣍⠢⣍⠒⠬⣯⣝⣾⣿⣶⢃⠀⠀ ⡇⠀⠀⠀⠀⠀⢰⡁⠀⢀⡴⡶⠍⠐⠀⠀⠀⠀⠀⡼⠋⡀⠀⣴⣻⣿⢹⣷⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣯⢿⣿⣻⣦⣽⣦⣬⣑⣦⣠⣤⣼⣿⣿⢯⣂⠀ ⡇⠀⠀⠀⠀⠀⣠⢖⡬⠍⠶⠋⠠⣈⢀⠠⠀⡲⠏⠂⠔⣣⢜⣿⣽⢋⣾⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣞⣮⢾⣆⡙⢳⣟⣻⣿⣿⣿⡷⢶⡄ ⡇⠀⠀⠀⠀⡘⠥⠷⡊⠥⢀⡴⠛⣐⣊⣰⢟⡵⢚⠾⠙⣫⣟⣋⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣝⣛⣯⡗⢯⡹⢾⡿⣿⣿⣽⣿⣽⣛⠾ ⡇⠀⠀⠄⠈⣠⡤⢊⠖⡹⠋⣠⡎⠽⢋⢕⡬⢴⣊⡾⢉⠟⢐⣣⣲⣼⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⡿⢯⣿⣹⣿⡽⠿⣶⣉⡞⣿⣽⡾⣟⣷ ⣧⡀⠀⢀⠆⣵⠊⠱⠋⢟⢵⠋⡒⠧⣿⠏⡺⣽⠼⢟⠵⣮⢟⠻⣝⠿⢶⣻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⡿⢻⣟⢷⣾⣛⣿⣽⣿⣿⣟⣾ ⣿⣷⣤⣀⣚⠕⠫⡥⢀⠖⣀⡞⡹⢪⠡⠞⢟⡣⠼⢖⣫⡽⣋⡴⣽⠻⣟⣽⡾⣳⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣶⣹⣿⣬⣝⡺⢿⣾⢻⣿⣽⣾⣿
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣞⣆⢀⣠⢶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣀⡤⠤⠖⠒⠋⠉⣉⠉⠹⢫⠾⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡏⢰⡴⠀⠀⠀⠉⠙⠟⠃⠀⠀⠀⠈⠙⠦⣄⡀⢀⣀⣠⡤⠤⠶⠒⠒⢿⠋⠈⠀⣒⡒⠲⠤⣄⡀⠀⠀⠀⠀⠀⠀ ⢸⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠴⠂⣀⠀⠀⣴⡄⠉⢷⡄⠚⠀⢤⣒⠦⠉⠳⣄⡀⠀⠀⠀ ⠸⡄⠼⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⡂⠠⣀⠐⠍⠂⠙⣆⠀⠀ ⠀⠙⠦⢄⣀⣀⣀⣀⡀⠀⢷⠀⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡇⠠⣀⠱⠘⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⢷⣧⡄⢼⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⡈⠀⢄⢸⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡀⠃⠘⠂⠲⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⡈⢘⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢫⡑⠣⠰⠀⢁⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣸⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣯⠂⡀⢨⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⣾⡄⠀⠀⠀⠀⣀⠐⠁⡴⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⡈⡀⢠⣧⣤⣀⣀⡀⢀⡀⠀⠀⢀⣼⣀⠉⡟⠀⢀⡀⠘⢓⣤⡞⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⡁⢁⣸⡏⠀⠀⠀⠀⠁⠀⠉⠉⠁⠹⡟⢢⢱⠀⢸⣷⠶⠻⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡏⠈⡟⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠁⠀⠻⣧⠀⠀⣹⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡤⠚⠃⣰⣥⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠼⢙⡷⡻⠀⡼⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠟⠿⡿⠕⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣾⠉⣹⣷⣟⣚⣁⡼⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣝⣧⣀⣠⡶⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣀⣠⠤⠤⠖⠚⠛⠉⢙⠁⠈⢈⠟⢽⢿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣴⠋⣍⣠⡄⠀⠀⠀⠶⠶⣿⡷⡆⠘⠀⠈⠀⠉⠻⢦⣀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣤⣤⠦⠦⠦⠤⠤⢤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⠇⠀⢸⠋⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⠲⠤⠴⠖⠒⠛⠉⠉⢉⡀⠀⠀⠙⢧⡤⡄⠀⢲⡖⠀⠈⠉⠛⠲⢦⣀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠡⠤⠀⠀⠰⠾⠧⠀⠀⠿⠦⠉⠉⠀⠶⢭⡉⠃⠀⣉⠳⣤⡀⠀⠀⠀ ⠸⣆⢠⡾⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡘⠇⢠⣄⠀⠦⣌⠛⠂⠻⣆⠀⠀ ⠀⠹⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠈⣹⠀⠀⡀⠐⣄⠙⣧⡀ ⠀⠀⠀⠉⠙⠒⠒⠒⠒⠒⠶⣦⣀⡽⠆⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢲⠀⠙⠦⠈⠀⢹⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣞⢧⠐⢷⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⡀⠈⢳⠀⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⢇⡀⠃⠈⢳⠀⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⡈⠀⣻ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡝⠶⢦⡀⣆⠀⠛⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠇⢀⡟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡠⣄⠙⠀⠸⠄⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡤⠀⠀⠀⠀⠀⠀⠀⠀⣠⠆⠀⡼⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣌⠠⣄⠰⡆⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⣾⡽⡀⠀⠀⠀⠀⢠⡴⠊⠉⢠⡾⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣄⡈⡀⠀⣾⣥⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⣠⠈⢡⡇⠀⠀⡀⠀⠘⠞⣠⡴⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣧⠃⠑⠀⣷⡏⠉⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢳⠿⢢⡈⣇⠀⢸⣿⣧⣦⠾⣿⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠦⠰⢾⢻⡇⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠈⠣⠸⠄⣴⢿⠋⠁⠀⠻⣦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡀⡆⠸⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡆⢀⣀⡈⢫⣷⠀⢀⣴⠟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡤⠞⠉⠃⢠⣧⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣧⠎⠉⡽⢋⠏⠀⣼⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⡿⣭⣿⣏⡴⠞⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⣶⡞⠋⢩⣏⣴⠯⠴⠋⠀⣰⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠿⠿⣺⡧⠶⠚⠉⠙⠓⠒⠒⠚⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠛⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣄⣼⡦⠴⠒⠒⠶⣤⣀⠀⣾⢧⡋⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⡤⠶⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⣿⣷⣋⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡤⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣶⣦⠈⠻⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡠⠞⠃⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⡀⠙⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡞⠁⠀⠀⠀⠀⢀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠟⠀⠀⠙⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⣤⡀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠳⣄⠀⠀⡀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⡀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣇⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⠀⠹⠆⠀⠀⠈⢳⠀⠀⠀⠀⠀⠁⠀⠀⠀⠉⠳⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⢦⣤⣹⣄⣀⣀⣀⣠⣤⠴⠊⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠲⣤⡀⠀⠀⠀⠀⠈⠙⠲⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠲⢤⡀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⢰⡄⠀⠀⠀⠀⠁⠀⠀⠀⠀⠈⠑⠢⣄⡙⠷⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⡀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠈⠀⠀⠈⠳⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⠀⠀⢳⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠑⢄⠙⢆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠈⠂⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⢀⣤⠴⠚⠃⠀⠀⠘⢢⡀⠀⠀⠉⠀⠀⠈⠧⠘⢧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡇⠀⠀⠀⠀⠀⠀⠀⠘⠋⠀⠀⠀⠀⠀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⢦⠀⠀⠀⠀⠈⣇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⠀⢰⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠈⢳⡀⠀⠀⠀⠸⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠘⠷⠀⠀⠀⠀⠀⢠⠀⠀⠀⠠⡏⠀⠀⢠⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⡀⠀⠀⠷⠀⢸⡄⠀⢳ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⡄⠀⠀⢸⡇⠀⠀⢸⣧⠀⠀⠈⢣⠀⠀⠀⠀⢀⣳⠀⠀⠀⢹⡄⠀⠀⠀⠈⠁⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡄⠀⠀⠀⣷⠀⠀⠘⠃⠀⠀⢀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠸⢳⡀⢀⡀⠀⢠⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⢻⡇⠀⠀⠀⠀⠀⣸⠉⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠐⣧⠀⠸⠀⡼ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣦⡀⣸⣷⠀⠀⠀⠀⠀⡇⠀⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⢸⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣖⡿⣿⡟⣻⣿⣷⡄⠀⠀⢾⣁⡀⠀⠀⣨⡷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠷⠿⣿⣥⠟⠀⣹⣾⠦⡿⡾⠇⠉⢻⣟⣀⣀⡬⠟⠲⢤⣀⣀⣀⣀⠀⠀⠀⠀⢀⣀⡴⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠁⢰⣿⡽⢛⡧⢠⡇⠀⠀⠀⠉⠉⠙⠓⠒⠒⠚⠉⠁⠀⠉⠑⠒⠒⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠒⣿⣤⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠜⣢⠽⣭⢻⡝⣯⢟⡽⣫⢟⡯⢏⡟⡝⢦⠱⢌⠲⡑⢮⡑⢯⢹⡹⢯⡙⢬⠳⡍⢆⢣⡹⡜⢯⡻⢽⣻⢿⠿⣿⢿⡟⣿⢫⡟⡽⣛⢿⣻⢿⡿⣿⡟⣟⢯⣻⢟⣿⣻⢿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⢄⡛⠴⢣⠞⡱⢎⡳⣍⠞⣌⠧⡘⡜⢢⠑⡊⢥⡉⢖⡘⢆⠣⡜⣡⠎⡥⢋⡜⣈⢆⡱⣉⠖⡩⢧⡙⢎⡻⢬⢣⡝⢬⠓⡼⢱⡙⢎⢳⠫⣝⠶⣙⢎⡳⡙⢞⠲⢍⠻⢜⡹⢣⠛⡞⣝⢫⠟⡽⢫⠟⣞⠳⡝⢞⡹⠍⢯⠹⣉⠯⡹⢍⠯⡹⢍⠛⡌⢣⠋⡜⣡⠛⡜⢣⠏⡽⢩⠓⢯⡙⢞ ⠀⠂⠌⡀⠃⢌⠱⡉⠖⠨⠘⠄⢊⠑⢌⠢⠙⡘⠰⡘⢢⠙⠌⢃⠘⠠⠙⡐⠣⠜⡸⢌⠒⡡⢊⠑⢂⠉⢂⠑⠃⠣⡘⢆⡙⠄⠃⠌⠐⠈⠁⠈⠜⠀⠊⠀⠁⠀⠂⠀⠀⠀⠀⠀⠁⠐⠈⠠⠘⠀⠁⠊⠄⠃⠘⠀⠐⠈⠀⠀⠀⠐⠠⠈⠄⠁⠂⠐⠀⠀⠀⠀⠀⠀⠈⠀⠈⠀⠁⠈⠀⠐⠈ ⠀⠀⠀⠀⠈⠀⠀⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢂⠡⢂⠰⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠄⠠⡐⢠⠂⢅⠂⢡⠈⡐⢀⠂⢀⠀⠀⡀⠄⢂⠡⠊⢌⠢⡑⢌⠢⡑ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⡀⢀⠄⡠⠀⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⡠⢀⠀⡀⢀⠀⠀⠀⡀⠠⢐⡐⢢⠰⡀⢆⡐⢌⠠⠌⢂⡑⡐⢂⠩⢄⠊⡄⢂⡐⣀⠂⠄⠂⡁⠄⡈⢄⠢⢉⠄⢢⠑⡈⠆⡑ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠈⠀⠀⠈⠀⠀⠀⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠂⠈⠀⠀⠈⠀⠁⠀⠁⠈⠀⠀⠀⠈⠀⠁⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡶⢳⠆⠀⠀⠀⢀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠈⠀⠀⠀⠀⠀⠀⢂⡀⠀⢀⠊⣱⣤⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠈⠀⠀⠤⣖⣦⣖⠮⠉⠄⠈⡱⢇⣻⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡒⢀⣴⣿⣿⣿⣿⣿⣿⣄⢀⢗⣉⢳⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢒⡿⡝⢸⣿⣻⢿⣿⣿⣟⣿⣿⢈⣾⣷⣣⣟⠖⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡂⣽⣻⣿⡛⢀⣿⣿⣿⣿⣿⣿⡿⣏⠸⣿⣯⣷⡿⣟⡲⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠐⡀⠂⠠⠀⠀⠀⠀⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢷⣹⡷⣿⠻⠇⢐⣾⡽⣿⣿⣿⢯⡿⡜⠘⣟⣿⣿⣿⣭⣽⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣏⢯⣿⣺⣿⣽⠣⠈⣞⡿⣿⣿⣿⣯⣟⠎⣐⡮⣟⢶⣯⣶⢿⣻⣿⡗⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣝⠾⣯⣿⣷⣿⡾⢇⠠⣝⡷⣿⣿⣯⡷⣏⡗⢸⣻⣾⣿⣿⣭⣿⣯⢷⣿⡌⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣲⡿⣏⣿⣿⣿⣿⣿⣿⣷⡜⣿⣿⣿⣿⣿⢛⣶⣿⣿⣿⣿⣿⣿⣿⣿⣟⡿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡀⠀⠀⠄⢃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣽⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠐⡀⠢⠐⠀⠌⠐⠠⠁⠂⠄⢂⠡⡀⢄⠠⡀⢄⡐⢌⠰⣀⠣⢌⡐⢂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣯⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢀⠀⡀⡀⠄⡀⢀⠀⡀⢀⠀⡀⡀⢀⠀⡀⠄⡠⢀⠄⡠⢀⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡯⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⡝⢦⠄⠦⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠁⠀⠂⢀⠈⡀⠀⠠⠐⠈⠀⠀⠀⠀⠀⠀⠁⠈⠀⠀⠀⠀⠀⠈⢀⢁⠊⠀ ⠀⠀⠀⠀⠈⠄⠁⠂⠌⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⣵⣿⢿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⡿⡽⢎⡜⣯⣜⣟⡦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠃⠂⠑⠀⠂⠀⠄⠀⠠⢀⠀⠀⠀⠀⠀⠀⠄⠀⠀⣾⣟⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡘⣿⣻⢖⢦⣞⣾⣿⣽⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠈⠀⠁⠈⠀⠀⠀⠀⣸⢿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⣻⣯⣧⢙⢶⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣶⣭⣿⣇⢳⣾⣛⣿⣾⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠨⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⠜⢿⣽⢿⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠻⡿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠯⠟⣋⡤⣰⢦⠛⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠑⠒⠶⠻⠟⠿⠿⠿⢿⠿⣿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣻⣫⠿⢿⠳⠄⠖⠦⠔⠤⠡⠍⠁⠄⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⢐⠲⡰⠴⠸⠌⢏⠹⠌⠳⢞⠲⠞⣴⡲⣖⡶⣳⢞⣖⡳⣎⢶⣣⢞⡴⣒⠶⣦⢲⡰⡄⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠄⠀⠀⠄⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠠⡔⡰⢄⡒⡌⣀⠐⡀⠁⠈⠈⠁⠂⠁⠈⢀⠁⣈⢈⣉⣉⡉⣌⠩⢌⡩⢌⠤⠡⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⡉⢀⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠈⠀⠁⠀⠀⠀⠀⢀⠀⡀⠀⠄⡀⢂⠁⣈⢀⡁⣉⢈⡁⣉⡈⣄⠠⡀⢀⠀⠀⠀⠀⠀⠠⠀⠄⠤⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠄⡀⠒⠐⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠐⡐⠊⠜⡑⢪⠔⡣⢞⡰⢎⠲⠉⠞⣢⠙⡌⠣⠍⠴⠡⡍⢤⡡⢬⢤⡡⢬⡔⡴⢢⣓⡘⠦⣑⠂⡐⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠒⠀⠊⠙⠈⠋⠱⠋⠚⡐⠃⠚⠐⠂⠒⢈⠂⢉⠒⢀⠃⠌⡑⢊⠑⢃⠙⠂⠙⠈⠂⠉⠂⠉⠌⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠐⠀⠂⠀⠀⠀⠁⠀⠀⠂⠐⠠⠀⠂⠐⠀⠂⢀⠀
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⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣈⠬⠄⠀⠠⢠⣮⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠄⠂⠁⠀⠀⠀⢠⣶⡌⠻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⡁⠀⡠⠂⠀⠀⠀⠀⠉⡁⠀⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠀⡄⠀⠀⠀⠀⢢⡀⠀⠐⠀⠢⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠣⠰⢀⠀⠠⠐⠁⠁⠀⠑⠀⠀⠠⠀⠈⢐⠠⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⠀⡄⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⢈⠀⡑⡄⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⠴⠀⠀⢠⠔⠂⠀⠢⡀⢁⠈⠊⠄⠀ ⠀⠀⠀⠀⠀⢁⢠⠀⠀⢀⠀⢠⠁⠀⠀⠀⡀⠈⠀⠡⠠⠘⡀ ⠀⠀⠀⠀⠀⠘⡀⠀⡆⠸⠀⢘⡀⠈⠀⠀⠒⠀⢱⠀⠀⡀⡇ ⠀⠀⠀⠀⠀⠀⢸⣄⣵⠀⠀⡄⠑⡀⠀⠀⠀⠀⠀⠀⠃⢡⠁ ⠀⠀⠀⠀⠀⠘⠛⠧⢋⣷⢴⠃⠲⢨⣕⣠⠤⠄⢀⠀⠤⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⠺⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠻⡧⠭⠿⠿⠿⠿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⠤⣤⡤⠀⠀⢀⣠⣽⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⢿⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠈⠀⢹⣿ ⣿⣿⣿⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿ ⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿ ⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿ ⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣣⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡀⠀⠀⠀⠀⣀⣀⠀⠀⢀⡀⠀⠀⣷⠀⠀⠀⢰⠟⢋⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠟⠀⠀⠀⢀⡾⠋⠉⠻⣿⣿⣶⣶⣶⣿⡄⠀⢀⡏⠀⢸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡀⠀⣠⣴⣿⣷⣤⠀⠀⣿⣿⣿⣿⣿⣿⣇⠀⢸⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡇⠀⣿⣿⣿⣿⣿⣧⣀⣹⣿⣿⣿⣿⣿⣿⠀⢸⣿⣀⣸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⢐⢄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠖⠉⠁⣯⢀⠈⠒⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠜⠁⢀⣤⠄⠈⠨⠂⠀⠀⠈⠷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠔⠁⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠉⠐⠂⠤⡀⠀⠀⠀⠀⠀ ⢈⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀⠀⠀ ⠘⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀ ⠀⠈⠁⠀⠉⠉⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⢱⡀ ⠀⠀⠀⠀⠀⠀⠨⢦⠀⠀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠇⠀⠀⠀⢃ ⠀⠀⠀⠀⠀⠀⠀⠀⠋⣦⠉⠟⡀⠀⠀⣰⠀⠀⠀⠀⠀⣤⠃⠀⠀⠀⠀⠸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡶⡀⡇⠀⢀⢛⠀⠀⢠⠂⠀⠀⠀⠀⠀⠀⠀⢰ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢨⠻⣄⣮⡯⠁⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⡎⡇⠀⠔⠑⢄⠀⠈⠲⡀⠀⠀⠀⠀⠀⡠⠃ ⠀⠀⠀⠀⠀⠀⠀⠰⠻⡭⢠⡧⠃⢸⠀⠀⢀⠩⠷⠓⠚⡇⢀⣀⡠⠔⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠙⠛⠋⠀⠀⠹⠷⠒⠈⠉⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣦⡄⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⣴⣶⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣟⡶⣈⢶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⠌⣹⣷⠻⢟⠿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠘⠤⡉⠛⠷⡈⠘⠂⠀⠀⠀⠀⠀⡄⠀⠀⠀⢀⢐⠢⡝⣸⠳⣶⢞⡲⠜⠦⠰⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢓⢀⣠⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡲⣴⢪⡝⠛⠆⠀⠀⠀⠀⠀⠀⠀⢠⠐⠀⠄⠀⠈⡀⢣⢈⢃⡃⢽⠊⠅⠸⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠙⢊⡑⡠⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣦⣱⣊⠥⠄⠀⠀⠀⠀⠀⠀⠀⠠⢄⢣⡐⠠⠘⠀⠀⠁⠀⠊⠄⠈⠂⠘⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⡀⡄⢁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⡥⠙⠈⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣏⡭⣍⣾⣶⣶⣦⡀⠀⠈⠐⢠⠂⢣⠄⠀⠁⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠁⡀⠀⡀⠀⠀⡄⠠⠄⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⣠⣾⣿⣾⣿⣿⣻⣍⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢺⣽⣻⠛⢻⣿⢉⣽⣄⠠⠀⠀⠀⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢀⣾⣧⡈⣿⠍⣐⣦⣿⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⡷⢸⣷⣾⣿⣿⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠐⡀⡐⠀⠀⠀⠇⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣷⣿⠆⠙⢻⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⠛⠡⠀⠸⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠐⠠⣱⠀⠀⠃⠀⢀⠀⡐⠄⠀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡿⠀⠀⠀⠎⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢂⠤⢰⠍⠁⢀⡤⣚⠯⣩⠦⡙⡎⣡⢾⡟⠍⣿⢰⣟⢳⡳⢞⡽⡿⢡⡞⣥⢋⣾⣽⡿⣽⢻⣟⡜⢧⣺⣟⡿⣷⠎⣿⣟⣾⣿⣿⣹⠿⣾⣿⣧⢳⡭⣟⢻⡽⣎⡻⢍⢟⡿⣦⣜⡩⢟⡾⣜⣳⡻⡶⣆⡀⠑⢮⠆⡄⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠐⠀⠠⠞⠡⢈⡅⢎⣱⡶⢋⡼⢯⠏⠠⣹⡆⡿⢊⣷⢩⡞⠜⣡⠞⡩⣴⣿⣿⣻⡝⣮⢻⠧⡄⢟⡶⣯⡟⢿⣘⣿⣿⣼⣹⢻⡝⣏⢶⡹⢯⣇⢷⡸⢧⡳⢌⠻⣎⠘⡽⢳⢯⣟⢳⣾⣽⢾⣭⡱⣍⠹⢇⡀⠈⣀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠄⠂⠀⠀⠀⠠⠔⠋⣀⡤⢁⠖⣞⢯⡙⠼⠋⢠⠏⣍⠶⡉⠴⡉⢠⠃⣽⢦⡙⠤⠐⠈⡼⢱⡇⢞⣧⣛⡞⢡⢋⢞⡀⢹⠎⢳⢋⣼⡷⢸⣿⣜⠣⣟⣾⠀⣿⢣⡛⡜⢢⢳⢼⡿⡌⡱⢈⡳⢦⡙⢦⠌⢣⠈⡝⡚⢏⡿⣞⡳⠮⢤⣤⠈⠑⣈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠠⠘⢀⢤⠶⠉⢀⣼⠋⠎⠠⠌⢀⡼⢣⡞⡩⢆⡽⢃⠠⡉⢼⡝⢢⠙⠀⠀⡸⠅⡃⢾⢸⠧⣹⠜⠀⡏⠰⠀⡜⠌⡌⠐⣞⡏⣦⠝⣸⠁⢾⡡⠃⢾⣇⠸⡅⢚⣏⠾⣽⣣⡑⠌⡣⣍⢧⡛⣮⢁⠣⡌⠱⢂⠬⠙⠛⣷⡄⠘⠹⢆⠤⠉⠒⠠⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠀⣀⠦⠉⠀⢀⡴⠋⠀⠀⠀⢀⡴⢋⡴⢣⠴⣹⠟⡰⣬⠑⡘⣼⠘⡤⠃⠀⠠⡑⠠⢘⠧⠘⡣⠍⠂⢀⠃⢠⠀⠃⠜⡠⠀⡘⢦⡟⡀⠤⢉⠖⡧⢘⠸⣇⠘⡀⢹⣿⣌⠷⣃⢯⠐⡱⣎⢲⡹⢆⠫⡄⠘⢣⡄⠃⡌⠡⠀⠛⢧⡀⠈⠘⠰⢀⠂⢄⡄⡀⠀⠀⠀⠀ ⠀⠀⡠⢌⠓⠀⠁⠀⠀⠀⠀⠠⠒⠀⠀⠀⡐⢎⡡⣍⢰⢊⣽⢋⣖⡳⠃⢈⠱⣎⢣⠃⡄⠀⡅⢀⠀⢨⠣⡅⢃⡘⠰⡀⠀⠘⣀⢸⡐⠁⠀⡜⢱⡣⢐⢢⠘⡆⠀⢃⠼⣑⠂⠀⣏⣿⡞⣷⡉⢆⠑⡘⣭⣳⠔⣏⢳⡌⠱⣄⡸⣅⠦⡑⢄⡀⢀⠀⠁⠀⠀⠀⠈⠀⠀⠙⠲⡀⢀⠀ ⡀⠑⠀⡈⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⢀⡴⣈⣶⠳⡌⣏⠾⣌⢎⡴⢋⠄⢢⡽⣸⢎⡱⠀⡰⠀⠊⣔⠃⢆⠁⢠⡐⠨⣇⠀⠸⣏⢰⡄⠈⠄⣨⡙⢀⠋⢠⠙⢢⠀⢘⠼⣱⠈⢰⢢⢹⣟⡼⣏⠄⠃⣧⠘⢿⡜⢬⢣⡜⣧⠀⡑⢮⣷⣎⣀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠂ ⠀⠀⠐⠀⠀⠀⠀⠂⠀⠀⠀⠀⢀⣜⢮⠓⠍⢠⡗⣜⡣⣝⠞⡜⢠⠊⣔⡣⢧⡛⢬⡓⢌⡱⢈⠲⣉⢐⡮⠈⢰⡏⣄⣳⡄⠲⣽⠘⠀⡀⠠⣷⢂⠌⠀⡌⡐⠆⣄⢊⡞⢡⢧⠀⣿⠼⣸⢣⢿⠎⡄⠘⣷⡌⡟⡤⢊⠵⣊⢷⣈⠢⣈⠙⠃⠎⠴⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⣀⠆⠔⡠⢛⡴⡹⣴⠫⠙⣀⠎⡵⡞⣧⣿⢁⠳⣌⠦⡝⢰⡃⠆⣸⢃⠸⢡⢞⡡⢚⡸⡝⣽⢋⠰⡀⢰⡭⣟⠀⠀⠰⣉⢏⣧⡘⡜⡁⢾⡆⠘⣻⡄⢫⡜⣳⠸⣄⢻⡷⣝⡧⡜⢂⡙⢦⢫⡓⣤⠉⠿⡠⠀⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⢃⠱⢊⠠⣰⡛⢴⣹⢣⠁⢃⠼⣨⢗⡿⣜⠣⡜⠲⡌⢚⡅⣸⠁⡐⣏⠲⠈⢦⠋⡔⢭⢒⡹⢸⢨⠱⣣⢸⢧⡹⢌⠀⠰⢈⢾⣳⡥⣇⠘⠤⣟⠤⠃⣟⠠⠼⡡⠆⢻⣆⢻⣿⡱⢫⢖⡀⠣⢍⡿⣔⢫⡐⠡⢃⠀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡀⠀⠠⠀⠀⠀⠀⠀⠀⢀⠐⠈⠀⡄⢢⠱⡙⢎⡵⠊⢠⡹⢞⡧⣏⣼⢏⢣⠏⠡⢌⢣⠄⢢⠁⢼⢢⡙⠄⢪⠇⡘⢢⢸⠐⡃⠦⡙⣔⢪⣇⠳⡌⠀⠀⢎⢾⣹⠧⣽⢂⠹⣘⠆⡓⣩⢇⠣⣑⢃⠩⢞⡡⢿⡳⣝⡮⣕⢢⠈⠳⡜⢣⠌⠓⡠⠀⠂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⢀⠰⢁⠈⢤⠓⡍⠎⡑⣄⡷⢡⡻⣜⠲⡜⢪⡕⢈⡑⢊⡧⢂⠁⡘⡆⣣⠘⣆⠹⡀⠱⠀⢸⠀⡁⠲⣍⠞⡴⣋⠶⢡⠂⠀⡘⢼⢸⠇⣽⢢⠱⢩⡞⠠⣱⣎⠢⣑⠊⣆⠩⢎⢣⡳⡌⢷⡭⡘⠯⡔⣈⡑⢮⡁⢄⠁⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⠂⠄⡀⠀⠀⠀⠀⠀⠀⠐⡀⠀⢂⠍⢤⢋⠘⡴⢱⡸⢂⠧⣻⣌⠻⣼⠁⠂⡜⢠⢣⡛⠤⠀⣝⠆⡥⢊⡴⢣⠄⠃⠀⠂⡐⠠⢱⣎⠹⢄⡹⡘⠤⠁⠠⠌⡘⢬⡳⣌⢣⡙⢦⡛⠥⡐⣿⢆⠩⣇⠠⢋⢆⠈⠷⣉⢾⡱⢣⡘⢡⠓⢦⠐⡌⢂⠡⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣼⣿⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠋⠁⠀⠈⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣄⠀⠀⢀⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣶⣤⣴⣶⡶⠶⠾⠿⠿⠿⠿⠿⢿⣿⣶⣶⣤⣄⣀⡀⠀⢀⣀⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡿⠊⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠿⠿⣿⣛⣿⣷⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡿⠋⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⢿⣿⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠋⠀⠀⠀⠟⠛⠁⡰⢫⣶⣶⣾⡧⠈⠹⡀⠐⠿⠿⠂⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⠀⠀⠀⠀⠀⠀⣰⠁⠀⢸⣿⠉⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⠇⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⣾⡿⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧⠀⠀ I'm hungry ⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠀⠀⠀⠀⠀⠀⢀⡇⣠⣤⣾⡿⢿⣦⡀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⠀⠀leave me alone ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣙⣿⡀⠀⠀⠀⠀⠀⠈⣀⣼⡿⠋⠀⠀⣿⣿⠷⠷⢼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣻⡁⠀⠀⣀⣤⣤⣶⣿⠏⠀⠀⠀⠀⣿⣿⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⣴⣾⠿⠛⠿⠟⠁⠀⠀⠀⠀⠀⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⣽⡋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠟⠁⡔⢁⡗⠀⠀⠀⠀⠀⠀⠀⠛⢿⣷⠀⠀⠀⠀⣰⣶⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠁⢀⣈⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢠⣤⣤⣠⣿⡇⠀⠀⠀⠀⠀⠀⢀⣼⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣠⣴⣶⣾⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣭⣛⡛⠿⢷⣦⣄⡀⠀⠀⠾⣿⡅⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⡟⠉⠀⠙⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠟⢸⣿⢉⠉⠛⠻⢷⣶⣬⣿⡿⠁⠀⠀⢹⣿⡀⠀⠀⠀⠀ ⣾⡿⢿⡿⠿⣿⣆⠀⠀⢀⣸⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡾⠿⠛⠁⠀⣿⡏⢀⠑⠀⢀⣠⣬⣽⣿⡃⠀⠀⠀⠀⢻⣿⡄⠀⠀⠀ ⢻⣷⣦⡆⠀⣹⣿⣷⣾⣿⣿⡟⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠁⢸⠀⠀⣸⡿⠋⠉⠉⠙⢄⠀⠀⠀⠀⢿⣷⡀⠀⠀ ⠀⠈⣿⣧⣼⡿⠁⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡿⠀⡇⠀⡜⢸⣧⡀⠀⠀⠀⠈⡇⠀⠀⠀⠈⣿⣧⠀⠀ ⠀⠀⠈⠉⠉⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣇⡈⠀⠰⠃⠈⣿⣿⣶⣤⣀⡜⠁⠀⠀⠀⠀⠸⣿⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⣿⣶⣶⣾⡿⠁⠉⠛⠛⠀⠀⠀⠀⠀⠀⠀⣿⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢟⣋⣀⣀⢀⠿⣿⠟⡋⠉⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡿⢛⣽⣶⣿⣿⣿⡟⠛⠣⣡⡀⠂⠀⢴⠛⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⠋⣡⣴⣿⣿⣿⣿⣿⣿⠀⣴⠀⢼⣿⡔⠚⣪⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠏⠀⡐⠆⠉⢿⣿⣿⣿⣿⣷⣄⢀⣴⣿⣿⣯⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡟⠠⡼⣷⣤⣴⣿⢿⣯⣷⣿⣻⡿⣿⡿⣿⢏⠺⡅⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⡘⣷⠸⣿⣿⣿⠜⠫⣷⢯⣷⢻⢧⡟⡝⢮⠁⠀⡅⠠⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣶⣔⢦⡭⠀⠰⠛⠽⠚⠜⠋⢙⠨⠑⢊⡴⢰⡹⡀⡈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣶⣶⣶⡆⢤⣬⡤⢖⣠⣶⣶⢸⣯⢷⣳⢧⡙⣄⢐⢶⣮⣙⠛⡿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠱⣩⣷⣾⣿⣿⣿⣿⠐⣿⣿⡽⣧⣿⢿⣦⣑⣿⣿⣿⣎⡈⠿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡇⢾⣿⣿⣿⣿⣿⣿⣿⢠⣿⣿⣽⣷⣻⡿⣟⣿⠛⢛⡙⠞⡷⣄⢈⢿⣿ ⣿⣿⣿⣿⣿⣿⣿⣷⠘⣿⣿⣿⣿⣿⣿⡿⢸⣿⢿⣟⡾⡽⣏⢡⣴⣿⣿⣿⣷⣌⢣⢂⠸⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡇⠹⣿⣿⣿⣿⣿⠇⢿⣽⢿⡸⢧⠙⢀⣾⣿⣿⣿⣿⣿⡽⡆⢡⠀⢻ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⠷⣝⡻⣿⠘⣺⢽⠣⡝⠀⢠⠈⣞⢿⣽⣻⢾⣳⢏⠧⣃⠀⢸ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠈⣛⠇⡌⢷⠋⠑⠀⣠⣿⡀⠘⡽⣚⡽⢻⡜⠭⢒⠀⠀⣾ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⣰⣿⡇⠀⠀⠀⠀⣴⣿⡿⠿⠄⠀⠡⠘⡁⠎⡐⠀⠀⣼⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣤⣄⣤⣴⡿⠁⠀⠀⠀⢠⣶⣶⡖⠀⠀⠀⠀⠀⠐⢀⣀⣀⣴⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⠛⡇⠀⠀⠀⠀⠀⠀⣠⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⠼⠖⠛⠋⠉⠉⠓⠢⣴⡻⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡠⠔⠊⠁⠀⠀⠀⠀⠀⠀⣠⣤⣄⠻⠟⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⠞⠁⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⢻⣿⣿⠀⢀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡇⠀⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠈⠁⠘⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡉⠓⠒⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢄⠀⠀⠀⠈⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⡇⠀⢠⠀⠀⠀⠀⠀⠀⠀⠈⡷⣄⠀⠀⢀⠈⠀⠀⠑⢄⠀⠑⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⡄⠘⡄⠀⠀⠀⠀⢀⡠⠊⠀⠙⠀⠀⠈⢣⠀⠀⠀⢀⠀⠀⠀⠉⠒⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⠁⠛⠲⢶⡒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠉⠂⠀⠀⠀⠀⠤⡙⠢⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⡀⠀⠀⢸⠀⠀⠀⠀⠘⠇⠀⠀⠀⠀⠀⠀⠀⠀⢀⠈⠀⠈⠳⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠣⠀⠀⠈⠀⢀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⢀⡀⠀⠑⠄⠈⠣⡘⢆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠿⠀⠀⠀⠀⣠⠞⠉⠀⠀⠀⠀⠙⢆⠀⠀⡀⠀⠁⠈⢇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⢤⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠙⡄⠀⡀⠈⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠘⠃⠀⠀⠀⢀⡄⠀⠀⡇⠀⠀⡄⠀⠀⠀⠰⡀⠀⠀⡄⠀⠉⠀⠃⠀⢱ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⡀⠀⠀⡆⠀⠸⠇⠀⠀⢳⠀⠀⠈⠀⠀⠀⠐⠓⠀⠀⢸⡄⠀⠀⠀⡀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⢻⠀⠀⠀⠀⢰⠛⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⡆⠀⠃⡼ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣷⣤⣽⣧⠀⠀⠀⡜⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣇⡿⠹⣷⣄⣬⡗⠢⣤⠖⠛⢳⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⢠⣾⢿⡏⣸⠀⠀⠈⠋⠛⠧⠤⠘⠛⠉⠙⠒⠒⠒⠒⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⠶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⢰⣗⢖⣿⡜⣲⣄⣀⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠒⠉⠉⠘⠶⣄⣤⡤⠤⢤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠾⢣⠟⠀⠀⠚⣏⡏⣿⡾⠁⠈⢹⡐⢲⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠖⠒⠶⠿⠀⠀⠀⠀⠀⠐⠛⠁⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⣸⠟⠀⢻⣷⡦⢀⣴⠇⠀⠀⠈⠙⠲⢤⣄⠀⠀⠀⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢹⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡿⠶⣤⣬⣤⡾⠁⠀⠀⠀⠈⠳⢤⡟⡄⠀⠀⠀⠀⠀⠀⠙⢷⣤⡀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠒⢲⡀ ⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⣀⣠⣶⠂⠀⠀⠀⠐⠒⠋⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⠤⠀⠀⠒⠛⠚⠓⠶⠶⢖⣂⣂⣂⣒⡆⠴⠆⠦⠢⠆⠖⠆⠖⠆⠖⠒⠒⠃ ⠀⠀⢀⣴⠞⠁⠀⠀⠀⠀⠀⠲⠻⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠶⣤⣤⣤⣤⡤⠶⢦⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠳⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⢿⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⢧⣇⢸⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀ ⠘⣞⣜⢿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢳⡄⠀⠀⠀⠀ ⠀⠘⠻⠦⣄⣀⣀⣀⣀⣀⠤⠤⠶⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⡈⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣙⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠩⣷⡇⡄⠀⠀⠀⠀⢀⠀⠀⡀⠀⠴⠄⠰⣤⢀⠂⡀⠤⠦⣢⡠⠔⣤⠤⡤⢥⡎⡄⠀⠈⡀⣠⣿⡇⠀⠐⠀⡀⢀⡆⢀⣄⢷⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠢⠄⠤⢐⢅⠻⢻⠄⠚⠢⠖⠛⡟⠻⠟⠹⠌⠋⠃⠙⠏⠉⢁⠉⠈⠈⠓⠉⠑⠉⢁⠋⠁⠉⢎⠌⢡⣾⣫⠇⢀⣇⡹⠏⡂⡛⠃⢵⣝⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠻⣶⣄⠀⠀⠀⠀⣀⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠈⢻⣦⠀⣠⣾⠛⠉⠀⢹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣶⠶⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠷⢶⣦⣤⣿⣾⠟⠀⣠⣶⣷⠀⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⣴⠶⠟⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢻⠀⠰⠿⠟⠃⣴⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣶⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠤⡤⣴⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⡿⠁⡠⠒⠋⠉⠓⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣄⡀⠀⢇⠀⠘⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⡟⠀⡜⠁⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⠟⠀⢸⠗⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⠇⢸⠁⣴⣦⠀⢠⣶⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⣊⣸⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⡈⠀⠙⠋⠀⠈⠛⠀⠘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⡎⡆⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⡇⠀⠀⢀⢠⠻⠆⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⣀⣀⣰⠟⠁⠀⠀⢸⣇⣀⣤⣤⣶⣶⠶⠶⣶⣶⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⡆⢀⠀⣰⡹⢸⡇⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⣴⢻⡟⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠻⢷⣦⣄⠀⠀⠀⠀⠀⠀⠀ ⢸⣇⢸⣴⡿⢃⠈⣿⠀⢠⡀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠁⠀⠀⠀⢴⠞⡐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣦⡀⠀⠀⠀⠀ ⠀⢿⡆⢣⠀⠘⠿⠟⠛⠛⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠋⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡝⢿⣆⠀⠀⠀ ⠀⠘⢿⡌⢧⡀⠀⠀⠀⢀⠶⡀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠊⢀⣴⠶⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠈⢻⣧⠀⠀ ⠀⠀⠈⢿⣆⠑⠦⣀⣴⣯⣂⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠊⠁⢀⣴⠿⢋⠀⠀⠀⢀⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢹⣧⠀ ⠀⠀⠀⠀⠙⢷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠐⠋⠀⣀⣤⡾⠛⠁⠐⠀⠀⢀⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⢻⡇ ⠀⠀⠀⠀⠀⠀⠙⠿⢶⣴⣲⣤⠀⠀⠀⠀⡤⠔⠂⢉⣀⣠⣤⡶⠿⠛⣉⣤⠖⠁⢀⠠⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠴⠀⢸⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠿⠷⠶⠾⠿⠟⠛⢻⡏⠁⠀⠀⠘⣈⡡⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⣿ ⠀⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⢠⣿ ⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⣸⡏ ⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⠁⠈⠑⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠊⠁⣀⣳⠀⠀⠀⠀⠀⣰⠁⠀⠀⡠⢠⣿⠁ ⠠⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⡠⡄⠀⠀⠀⠀⢸⠀⢠⡄⠀⠀⠙⠢⠤⣀⡀⠀⠀⠀⠤⠐⠉⠀⢀⠀⠉⣰⡆⠀⠀⠀⢀⠃⠀⠠⡔⢤⡿⠃⠀ ⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇⡠⣴⣧⣿⠠⠤⠤⠄⣸⡀⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡢⠆⣀⣤⣿⡧⠔⠒⠀⡾⠒⠢⠥⣰⡿⠁⠀⠀ ⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠙⡇⢻⣇⠀⠀⠀⣺⠉⣿⠛⠷⣶⣦⣤⣤⣄⣀⣀⣀⣠⣤⣼⣶⣶⡟⢻⠉⢹⣧⠀⠀⠀⠁⠀⠀⢰⡿⠁⠀⠀⠀ ⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⣄⡀⣈⣿⣄⠀⠀⡏⣸⣿⣀⣀⣀⣀⣀⣉⣉⣉⣉⣉⣉⣉⣀⣀⣹⣧⡈⣆⠀⣿⣦⡂⠀⡀⠀⣠⣿⠃⠀⠀⠀⠀ ⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢾⣿⢿⠿⠿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣾⣿⣿⣿⣷⣿⣿⣿⡿⠿⢿⡿⡿⠖
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣀⠀⠀⠀⢸⣆⡀⢀⡄⡀⠀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢠⣶⡀⢸⣿⡆⠸⣧⣿⠀⠛⠁⠸⡿⠇⠸⡷⡟⢠⡿⠙⢀⡶⢲⡄⢀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣹⡄⠹⠞⠓⠈⡏⠀⠘⠷⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣟⡿⠀⢻⣿⠁⣼⠶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣾⡿⠿⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠿⢿⣷⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⡿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⢿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⠿⡿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣼⣿⣿⣿⣿⣿⣿⣧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⡿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⣿⣧⣀⠀⠀⠀⠀⠀⢀⣼⣿⡿⢧⡘⢧⢣⡜⡸⢿⣿⣧⠀⠀⠀⠀⠀ ⢀⣾⣿⢟⡹⢆⡳⡜⡼⣩⠟⣿⣿⣦⡀⠀⠀⠀⠀⠀⣀⣴⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣷⣤⡀⠀⣴⣿⡿⢣⡝⢦⡙⢧⠳⣜⡹⢎⡽⣿⣧⠀⠀⠀⠀ ⣾⣿⣙⢮⡱⣋⠶⣙⠶⣡⡛⡴⣊⢿⣿⡄⠀⠀⣠⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣾⣿⢏⣜⢣⠞⣥⢛⣬⢓⢮⡱⢫⡔⣻⣿⡄⠀⠀⠀ ⣿⣿⡜⢦⠳⣍⠞⣥⢛⡴⣙⠶⣩⠞⣿⣿⣤⣾⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣯⡜⣣⢛⡴⣋⠶⣩⠖⣭⠳⡜⣿⣿⠀⠀⠀⠀ ⠸⣿⣏⣎⠳⣌⠻⣔⢫⠖⣭⢚⡥⣛⣼⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣧⣋⠶⣩⠞⣥⢛⡴⣋⣾⣿⠃⠀⠀⠀⠀ ⠀⢻⣿⣮⠝⣬⢓⡎⢧⡛⡴⣋⢶⣽⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣧⣛⠴⣋⠶⣩⣶⣿⡿⠃⠀⠀⠀⠀⠀ ⠀⠀⠹⣿⣿⣦⣫⡜⣣⢝⣲⣭⣾⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣼⣥⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⠛⠿⠿⠿⠿⢿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣀⡀⠀⠀⠀⠘⢿⣿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⢀⣠⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠘⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠿⠿⠿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠻⣿⣦⣀⣴⡿⠟⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⠿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⣿⠇⠀⢀⣤⡄⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⠰⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⡿⠀⣰⣿⠏⢁⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣿⡇⢰⣿⠃⢠⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡇⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⠁⠻⠟⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠛⠿⣿⣶⣦⣤⣀⣀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣶⣾⣿⠿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣶⣿⣿⣿⢿⣿⣿⣿⣿⣷⣷⣶⣆⣶⣀⣀⣀⡀⠀⠀⠀⠀⠀⢀⡆⠸⣇⠰⢀⠀⠰⡆⣀⠀⢰⣶⡀⢰⣀⠀⠀⠶⠉⢸⣷⠆⡰⠆⢰⡆⠈⠁⠀⠀⢀⣀⣀⣀⣶⣶⣶⣿⣿⣿⣿⣿⠿⣏⡹⣎⠿⣶⢹⣿⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⣿⡿⢏⡷⢎⡷⣊⠷⡭⣏⢟⣻⣛⠿⡿⢿⠿⣿⣿⣿⣿⣿⣿⣷⣿⣶⣶⣿⣶⣾⣆⣧⣷⣧⣆⣦⣟⣽⣶⣧⣯⣖⣶⣴⣶⣷⣞⣼⣦⣷⣷⣷⣻⣿⣿⣿⡿⢿⠿⣿⣛⡟⢯⣛⣝⡺⣜⢻⠼⣱⢫⣞⡱⢯⣽⣿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⣿⣭⢛⡼⣹⢲⡭⢏⡗⡮⢏⡶⢭⣛⡼⢫⡝⣖⠧⣞⡲⡝⣮⠽⣙⢮⠽⣭⠻⣝⡻⢏⣟⡻⣛⡟⡻⣏⣟⢻⡛⣟⡻⢏⡿⣹⢏⡯⢽⣙⢮⡝⣳⣚⢖⣣⠟⣭⢻⠴⣓⡞⢧⣫⠶⣙⢮⢏⡽⢣⣏⢶⡹⢧⣾⣿⡁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣷⣏⢾⡱⣏⡼⣋⠾⣍⡟⣼⢣⢯⡜⣧⢻⠼⣹⠖⣽⡱⢧⣛⡭⡞⣝⠶⣛⡼⢭⣛⡴⣫⢵⣋⢷⡱⣎⢷⡹⣎⡵⣫⢞⡵⢮⡹⣇⢯⢞⡼⢳⣜⣫⣜⢻⡜⣧⠻⣥⣛⢧⡳⢽⣙⢮⢏⣞⢳⣎⢧⣛⣾⣿⣿⣶⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⡿⠋⠻⣿⣷⣿⣴⢫⡝⡽⣚⡼⢣⣛⢶⡹⢎⡳⣏⢧⣛⢶⡹⣣⡝⣶⢹⡎⣏⢷⣩⠷⣩⢶⡹⢶⣙⢮⢳⡭⢞⡵⢎⡳⣝⠮⣞⣣⠟⡼⣎⢧⣛⢧⢞⡲⣭⢞⡱⣎⣟⡲⣭⢶⡹⣇⢯⣞⣾⣼⣷⣾⣿⠿⠟⠁⠀⠉⢿⣷⡀⠀⠀⠀ ⠀⠀⠀⣠⣿⠟⠀⠀⠀⠀⠉⠛⠿⣿⣿⣷⣽⣞⣧⣻⣬⡳⣏⡳⣎⢷⣩⠞⣵⢣⡻⢬⣳⢹⢎⡗⣮⡝⣣⠷⣭⢳⡭⢞⣳⢺⢭⡞⣭⢳⡝⣺⠵⣎⡻⢵⣎⡳⣭⢞⣭⣳⢮⣭⣷⣽⣶⣽⣾⣷⣿⣿⡿⠿⠟⠛⠋⠉⠀⠀⠀⠀⠀⠀⣨⣿⠇⠀⠀⠀ ⠀⠀⢠⣿⠏⠀⠀⠀⠀⠀⠀⢀⣀⣀⣈⣉⠙⢛⠻⠿⠿⣿⢿⣿⣿⣾⣷⣿⣾⣷⣿⣷⣯⣾⣿⣾⣶⣿⣷⣿⣾⣷⣾⣿⣾⣷⣷⣾⣧⣿⣾⣷⣿⣾⣽⣷⣾⣿⣷⣿⡿⠿⠿⠿⠛⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣾⡿⠋⠀⠀⠀⠀ ⠀⠀⣾⡿⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣦⣤⣈⡁⠉⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⠉⠛⠙⠉⠋⠙⠉⠋⠉⠉⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣴⣶⣾⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⢿⣷⣤⣤⣾⣿⣿⣿⣟⣯⢷⣻⣞⡷⣯⢿⣽⣻⣟⡿⣿⢿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣴⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⡿⣿⣟⡿⣯⣟⣿⣿⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠛⠋⠁⣻⣿⣟⡾⣽⢯⡷⣯⢿⣽⣻⣞⡷⣯⢿⣽⣻⢾⣽⣻⢿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⢿⣿⣻⣟⡿⣽⢯⡿⣽⣞⣷⣻⢷⡯⣟⡷⣯⣿⣿⣿⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢐⣿⣿⣯⢿⡽⣯⢿⣽⣻⣞⡷⣯⢿⣽⣻⢾⣽⣻⢾⣽⣻⢾⣽⣻⢿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⢿⣻⣽⣳⢯⣟⣾⣳⢯⡿⣽⢯⣟⣷⣻⢾⣽⣳⢿⣽⣛⣷⣿⣿⠈⢿⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣾⣿⣿⣞⣯⢿⣽⣻⣞⡷⣯⢿⣽⣻⢾⣽⣻⢾⣽⣻⢾⣽⣻⢾⣽⣻⣞⡿⣿⣿⣿⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⡿⣟⡿⣞⣯⢷⣯⡟⣿⣞⡷⣯⢿⡽⣯⣟⣾⣳⢯⣟⡾⣽⣻⢾⣽⣿⣿⠃⠀⠘⣿⣇⠀⠀⠀ ⠀⠀⠀⠀⣼⡿⠉⣿⣿⣟⣾⣻⣞⡷⣯⢿⣽⣻⢾⣽⣻⢾⣽⣻⢾⣽⣻⢾⣽⣻⣞⡷⣯⣟⡷⣯⣟⡿⣿⣿⣿⣶⣶⣤⣤⣤⣤⣶⣶⣿⣿⣿⢿⣯⢷⣻⣽⣻⡽⣞⡿⣾⣽⣳⢯⡿⣽⢯⣟⣷⣻⢾⣽⣻⢾⣽⣳⣯⣿⣿⠟⠁⠀⠀⠀⣿⣿⠀⠀⠀ ⠀⠀⠀⣼⣿⠁⠀⠙⢿⣿⣾⣳⢯⡿⣽⣻⢾⣽⣻⢾⣽⣻⢾⣽⣻⢾⣽⣻⣞⡷⣯⣟⡷⣯⣟⡷⣯⣟⡷⣯⣟⣿⣻⢿⡿⣿⢿⣟⣿⣻⡽⣞⡿⣞⣯⢷⣯⢷⣻⣽⣻⡵⣾⡽⣯⢿⣽⣻⣞⡷⣯⣟⣾⣽⣿⣾⣿⠿⠛⠁⠀⠀⠀⠀⢠⣿⡏⠀⠀⠀ ⠀⠀⠀⣿⣧⠀⠀⠀⠈⠙⠿⢿⣿⣿⣷⣯⣿⣾⣽⣿⣾⣝⣿⣾⣽⣻⣞⡷⣯⣟⡷⣯⣟⡷⣯⣟⡷⣯⣟⣷⣻⢾⡽⣯⢿⣽⣻⣞⡷⣯⢿⣽⣻⡽⣞⡿⣞⣯⢷⣯⢷⣻⢷⣻⣽⣻⣾⣷⣿⣿⣿⡿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⣀⣴⣿⣟⣀⠀⠀⠀ ⠀⢀⣤⣾⣿⣿⣶⣤⣀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠿⠿⠿⠿⠿⣿⣿⣿⣷⣿⣿⣷⣿⣿⣷⣿⣾⣽⣯⣿⣽⣿⣾⣷⣯⣿⣽⣿⣾⣷⣿⣽⣿⣿⣾⣿⣾⣿⣿⡿⠿⠿⠿⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣿⣿⣿⣿⠿⣿⣿⣶⡄ ⢰⣿⡿⢏⡝⣫⢟⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⡿⢟⡹⢆⢧⡛⡴⣩⢿⣿ ⣿⣿⡱⢫⡜⡱⢎⠶⣩⢿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⡿⢛⣵⣿⢿⡹⣜⢣⡝⣎⠶⣙⠶⣡⢿⣿ ⣿⣿⡱⢳⡜⡹⢎⡳⡱⢎⡽⢿⣷⣤⣀⣀⣀⣀⣀⣤⣤⣤⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⣤⣤⣤⣴⣾⡿⠟⠉⣴⣿⡿⣍⠶⡱⢎⡳⡜⣬⠳⣍⠞⣥⣿⡿ ⢹⣿⣭⠳⣜⡱⣋⠶⣙⠮⡜⡭⢿⣿⡿⠿⠿⠟⠛⠛⠋⠉⠉⠙⠛⠛⠻⠿⣿⣶⣤⣄⣀⡀⢀⠀⡀⢀⣀⣀⣤⣤⣤⣤⣤⣄⣀⣀⣀⠀⡀⠀⠀⠀⠀⠀⢀⣠⣴⣾⡿⠿⠛⠛⠛⠛⠛⠛⠛⠉⠁⠀⢀⣾⣿⠟⡴⣩⢞⡱⣋⠶⣙⢦⡛⣬⢛⣾⣿⠁ ⠈⣿⣿⢳⡌⢳⡍⡞⣥⠛⣼⢱⠋⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⡟⣿⣿⣿⣿⣿⣿⠛⠛⠛⠉⠙⠛⠛⠛⢻⡟⣿⣿⣿⣿⣷⣶⣿⣿⡟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡏⡞⢱⢣⡎⣵⡍⡞⢱⡎⣵⢪⣿⣿⠃⠀ ⠀⠸⣿⣧⡛⢦⣙⠶⣩⠞⣥⢋⡞⣹⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠉⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡟⡼⣱⢋⡞⡼⣡⢛⡜⣣⢞⣱⣾⡿⠃⠀⠀ ⠀⠀⠘⣿⣯⡳⣌⠳⣥⢛⡴⢫⡜⡥⢿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣛⠴⣣⢏⡼⢱⢣⢏⡼⣱⣾⣿⠛⠀⠀⠀⠀ ⠀⠀⠀⠘⢿⣿⣬⢳⣌⠳⣜⢣⢞⡱⣻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣇⠻⣔⢫⡜⣣⢏⣼⣾⡿⠟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢿⣷⣮⡳⣌⠳⣎⠵⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣬⣷⣾⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣷⣾⣿⡿⠻⠿⣷⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣾⠿⠛⠁⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠉⠙⠛⠿⢿⣷⣶⣦⣤⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⣶⣶⣿⠿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠿⠿⠿⠷⣶⣷⣶⣶⣶⣤⣦⣴⣤⣦⣴⣤⣦⣴⣶⣶⣶⣾⣶⠿⠿⠿⠟⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡜⢣⡛⣜⡒⡓⢎⡱⢎⡓⢎⡓⣎⠳⡘⢆⡓⣚⠖⣓⡚⢆⢳⡘⣒⢓⡚⣜⢣⢏ ⡜⢧⡛⡴⡙⣜⢣⡜⣎⣜⣮⣕⣮⣵⡿⢶⣷⣜⣹⢦⣹⣾⠢⡕⢬⠓⡼⢨⡓⢯ ⢜⣣⢝⡲⢍⡜⡢⡕⢎⣿⢻⣹⣾⣼⣾⣿⣿⣷⣿⣏⣽⣿⡷⡘⢆⠯⣔⢣⡝⢦ ⢸⡐⢎⡔⢣⡘⡱⢎⢯⣟⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡻⣟⡝⣪⢓⡬⢲⡙⢦ ⢢⠙⢦⡙⢦⠱⣑⢋⡾⣦⣼⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣶⣿⠲⡥⣋⢖⡣⡝⣎ ⠬⡙⠦⡙⠦⣙⠦⣯⡶⣻⣽⣾⢿⣿⡟⢱⡹⣿⣿⣿⣿⣿⣿⣗⣣⡍⠶⡱⣙⠬ ⢸⠘⡥⡙⠤⢃⢞⡽⣿⣟⣷⠛⣨⣧⣽⣷⣾⣶⣯⣏⣿⣿⣿⣾⣷⢞⡱⡓⡬⢓ ⢸⠑⠦⣙⠴⣩⣽⣿⣾⣿⣮⡥⣿⣿⢿⣿⣿⣿⣿⡧⣿⣿⣿⣿⣿⣿⣱⠱⢌⠣ ⢌⢪⡑⡌⢢⣿⣿⣿⢿⡻⢿⣈⠻⢻⣿⣿⣿⣿⣿⡧⣿⣿⣿⣿⣿⣿⣿⣾⢠⢃ ⣘⢢⠵⣉⣳⣿⣿⣯⣯⣿⣇⣖⢨⡿⣿⣿⣿⣏⣯⡺⣫⢿⣿⣿⣿⣿⣿⣿⡣⡌ ⠴⣊⠼⣸⣿⡷⣿⢿⣻⢾⣪⡷⣻⣽⣷⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⡷⣩ ⢒⡩⢖⣭⣳⡵⢕⣫⣾⣿⣿⣻⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣷⣿⣿⣿⠤ ⣸⢒⣾⠺⣷⡿⣪⡲⣫⢾⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣽⣿⣿⡷ ⣜⢣⣾⣿⣳⢾⣯⡾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢬⢏⡵⡝⡷⣿⢾⣯⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀have a cup of capy-cuinno <3⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠉⠀⠀⣤⡀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠔⠒⠂⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠋⠁⠙⣆⠀⠈⠓⠂⢄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⢀⡤⠦⠶⢶⠖⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠚⠛⠒⠒⠒⠒⠾⠶⠦⢤⠀⠀⢱⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⡇⠀⠀⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠔⠀⠉⠀⠀⣾⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⢻⠀⠀⠀⠀⠐⠠⠀⠀ ⠀⠀⠀⠀⠀⡰⠃⠀⢀⡴⠶⠒⠛⠛⠻⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠛⠛⠒⠶⢤⡀⠀⢰⠀ ⠀⠀⠀⠀⢰⠃⠀⣰⠋⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⢇ ⠀⠀⠀⠀⡏⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⢸ ⠀⠀⠀⠀⣧⠀⠘⢧⡤⠤⠴⠶⠶⢶⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠲⠶⠶⠦⠤⠤⣤⠟⠀⢸ ⠀⠀⠀⠀⠻⣦⡀⠀⠙⣦⣤⣤⣤⡤⠤⠤⠤⠤⠤⠶⠶⠶⠶⠶⠶⠶⠶⠶⠖⠒⠒⠒⠒⠒⠒⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠦⠤⠤⠤⠤⣤⡞⠁⠀⢀⠎ ⠀⠀⠀⠀⠀⠈⢷⡄⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡰⠃⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⡇⠀⢸⣟⣒⣒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠛⠉⠉⠉⠉⢻⠀⠀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠨⡇⠀⠸⡗⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⠀⠀⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣄⢤⡀⣠⠀⢀⣤⢴⣤⡄⠀⣆⢠⡄⣠⠀⢀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⡇⠀⠀⠀⢀⣠⣤⠀⣿⡄⠸⣏⣽⠏⢻⢃⣤⣼⡇⠀⢸⡇⢸⡏⢸⠇⡟⣇⣸⢳⣷⠀⣶⣠⣤⡀⠀⠀⠀⠀⡇⠀⢀⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⡇⠀⠀⠀⢹⡇⠀⢸⡷⠿⣆⣯⠀⠀⠘⠇⠀⠀⠛⠒⠋⠛⠚⠃⠺⠀⠇⠸⡿⢸⠸⣾⣯⡟⠀⣿⠀⠀⢀⢠⡇⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢹⠀⠀⠀⠀⠛⠶⠋⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠙⠀⠳⠞⠁⠀⠀⠈⢨⡇⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣷⣤⠤⠖⠒⢶⡶⠶⡶⠒⠦⢤⣴⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡏⠁⠀⠀⠀⡌⠇⡀⠃⡄⠀⠀⠈⢻⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⣀⡀⠀⠀⠀⠐⠃⠀⠁⠀⠀⡀⠀⠹⡄⠀⠀⠀⠀⠀⣀⠀⠀⠀⠂⢺⠀⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢸⡇⠀⠀⣶⣿⣷⣆⠀⠀⠀⣸⡘⢸⣿⡧⠀⣠⣶⣿⣿⣶⣄⠀⢺⣿⡇⠁⢿⠀⠀⠀⢠⣾⣿⣿⡆⠀⠀⣿⠀⠀⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠈⡇⠀⠀⣿⣿⣿⣿⡆⠀⢠⡇⠁⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠉⠀⠀⠘⣆⠀⠀⣿⣿⣿⣿⠃⠀⠀⡿⠀⢠⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⣧⠀⠀⠈⠛⠿⠛⠀⠀⣾⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⡀⠀⠈⠛⠛⠁⠀⠀⠀⡇⠀⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢸⠀⠀⠀⠀ ⠀⣰⡚⠛⠖⠒⠶⠶⢼⣦⣤⣿⢤⣤⣄⣀⣀⣀⣀⡀⠈⢳⣄⠀⠀⠀⠀⠹⠿⠿⠿⠿⠟⠀⠀⠀⠀⣀⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠸⠀⠀⠀⠀ ⢸⡇⠀⢠⣤⣤⢠⣤⣤⣧⣀⢸⣀⣉⡇⣀⠈⡉⠉⠙⣿⡛⠉⠛⠓⠲⣦⡤⢤⣀⣀⣈⠤⠤⠴⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡇⠀⠀⠀⠀ ⢰⡇⠀⢾⠇⠻⠾⢏⣷⣿⡹⣼⣿⡛⢿⢋⣶⢛⣴⠿⣷⣷⡷⠄⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡇⠀⠀⠀⠀ ⠈⠳⢦⣤⣠⣀⣀⣄⣀⣣⣰⣛⣗⠯⠮⠍⠬⠯⢈⠒⠛⠛⣚⣂⣀⠀⣿⣆⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡤⠤⠤⠤⠶⢶⡟⠀⠀⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⢹⠉⠉⢿⠙⠛⠛⡟⠛⠒⠲⠶⠶⠶⠤⠤⡼⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢘⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⢸⡄⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠈⠣⣄⠀⠀⠀⠁⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠏⠀⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡀⠀⠈⠙⠲⠦⠤⠤⣀⣈⣐⣠⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⠤⠤⠴⠖⠛⠉⠀⠀⣠⠞⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⢤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡤⠴⠒⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠛⠓⠓⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠤⢄⢠⣄⠀⠀⠀⠀⠀⠀⠀⢀⡔⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⠤⠤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠋⣆⡀⠀⠀⠀⢀⡞⢰⣗⢖⣿⡔⣲⣄⣀⣤⣤⡀⠀⠀⠴⠥⠤⠠⠤⠍⣁⣀⣡⣤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠤⠤⠤⠤⠤⠤⠬⠇⠀⢨⠾⢣⠟⠀⠀⠚⣏⡏⣿⡾⠁⠈⢹⡐⢲⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⣸⠟⠀⢻⣷⡦⢀⣴⠇⠀⠀⠈⠙⠲⢤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡧⠟⠛⠫ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠶⣤⣤⣤⡼⠁⠀⠀⠀⠈⠳⢤⡟⡄⠀⠀⠀⠀⠀⠀⠙⢷⣄⡀⠀⠀⠀⠀⣠⢶⣿⢺⠿⠛⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⣀⣠⣶⠂⠀⠀⠀⠐⠒⠋⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⠀⠀⣠⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⠞⠁⠀⠀⠀⠀⠀⠲⠻⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠩⣇⡈⠉⠁⠉⠉⠉⠉⠈⠀⠁⠈⠀⠁⠁ ⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠒⠲⣆⡤⠶⠶⠶⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣖⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣒⡘⣁⡀⣀⣀⣀⣀⣀⣀⣠⣉⣃⣄⠀⠀⠀⠀⠀⠀⠀⠑⡭⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣀⣧⣇⢸⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣼⡘⠲⠐⠒⠂⠦⡂⠂⠒⠐⠂ ⠀⠀⠘⣞⣜⢿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⡄⢠⣅⣦⣷⡆⢸⣿⣺⠌⠳⡀⠀⠑⠄⠀⢀⠀ ⠀⠀⠀⠈⠻⠦⣄⣀⣀⣀⣀⣠⠤⡄⡲⡶⠾⡚⠷⢿⠞⠟⠻⢫⢿⠟⠏⡙⠓⠉⠍⠙⠈⠁⠁⢈⢈⠀⡠⠠⠄⠖⠁⠀⠀⡅⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⡀⠀⠀⠀⠈⠈⠀⠁⠁⠂⠀⠂⠐⠀⠈⠁⠀⠁⠀⠀⠀⠐⠈⠈⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠠⠀⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠑⠐⠐⠀⠂⠄⠠⠠⠀⠄⠠⠠⠀⠄⠠⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡄⢴⢄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⡷⢋⢋⠒⠦⣤⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠌⠘⠃⠙⠿⠆⠀⢸⠿⣿⡆⠀ ⠀⠀⢀⡠⠐⠂⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠠⠌⣛⠛⢳⠤ ⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠍⢃⣠⠝⠍ ⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠲⡶⣶⣾⣿⠟⠁⠀⠀ ⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡍⠀⠀⠀⠀ ⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢀⠄⢰⠇⠀⠀⠀⠀ ⠈⣿⣷⠀⠀⠀⠀⠀⠀⢀⣠⣾⢄⠀⣀⡤⢿⣴⠃⠀⠀⠀⠀⠀ ⠀⠈⣿⠀⠀⠀⢀⢀⣤⣾⣿⣿⣾⣿⣿⠛⣿⡏⠀⠀⠀⠀⠀⠀ ⠀⠀⣏⣴⣶⣶⣿⣿⣿⢿⣟⠟⠛⣿⣿⣦⡛⠫⠗⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠁⠉⠉⠉⠉⠙⠉⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⠤⠴⠦⠤⠤⠴⠤⠤⠄⠀⠶⠶⠶⠶⠶⠶⠶⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣶⣆⠀⢸⣏⠓⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢳⣿⡏⣼⣀⣸⣿⣧⣸⣇⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣼⣿⡅⠻⠿⢄⣠⠠⣄⡀⠉⠛⠿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠻⣿⣿⠂⢸⡧⠤⣼⣇⠀⠀⠀⠀⠉⣿⣿⣿⣷⣶⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠃⠀⠀⠉⠀⠀⠈⠙⠛⢿⡿⠀⠀⠀⠀⢠⣿⠿⠿⣿⡿⠿⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡤⠤⠤⠶⠒⠒⠶⠶⠤⠤⠤⠖⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣼⣷⣾⣷⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⡤⠖⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢤⣤⣄⡈⠉⢹⡏⠁⣽⠶⢴⠆ ⠀⠀⠀⢀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠴⠶⢿⠇⢸⡇⠰⡾⠶⠶⠀ ⠀⠀⣠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡴⠚⠛⠀⢨⣧⣀⠟⢦⠀⠀ ⠀⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⣠⣄⣴⣶⣶⣾⣿⠟⠉⠀⠀⠀⠀ ⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⡿⢿⣿⣾⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠸⠟⠛⡽⠛⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡇⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⣿⣿⣿⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠀⠀⠀⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⣿⣿⣿⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⠇⠀⢀⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢹⣿⣿⣿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣼⣿⣇⠀⠀⠀⠀⠀⠀⣠⣴⣿⢹⣀⣾⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢻⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣧⣾⣿⣿⡏⣸⣇⣸⣀⣶⣴⣿⡇⣹⣾⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣠⣾⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⠛⢻⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⡟⠀⠀⠀⠀⣀⠀⢀⣤⣇⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠃⢀⣼⣷⣾⣷⣾⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⢿⣿⣻⡿⠋⣿⣿⣿⣿⢧⣀⠻⠿⣿⣍⣺⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡧⠼⠿⣟⣻⣿⢿⣿⣿⣿⣿⣿⣻⣻⠿⢭⣿⣳⣦⣍⠀⠀⠀⠀⠛⠿⢿⣮⣛⢮⣿⡆⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠉⠙⠉⠉⠉⠉⠙⠙⠛⠓⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡀⣄⣀⣀⣀⣀⣀⣀⣀⣠⣀⣀⣀⣤⡀⠀⣀⣀⣀⣀⡀⢀⠀⣤⣠⣤⣤⢀⡤⢤⣀⣄⡤⣄⣄⢤⣄⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠐⠛⠛⡛⠛⠛⢛⠛⠛⠛⡛⠛⢛⠛⠛⠓⠘⠚⠛⠛⠋⠃⠀⠀⠚⠒⠃⠚⠋⠛⠓⠛⠛⠛⠛⠚⠋⠛⡋⠀⠀⠀⠀⠀⠀⠀
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