Astolfo ASCII Art

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

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⣆⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⣼⣿⡗⠀⠀⠀⠀ ⠀⠀⠀⣠⠟⠀⠘⠷⠶⠶⠶⠾⠉⢳⡄⠀⠀⠀⠀⠀⣧⣿⠀⠀⠀⠀⠀ ⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣤⣤⣤⣤⣤⣿⢿⣄⠀⠀⠀⠀ ⠀⠀⡇⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠙⣷⡴⠶⣦ ⠀⠀⢱⡀⠀⠉⠉⠀⠀⠀⠀⠛⠃⠀⢠⡟⠂⠀⠀⢀⣀⣠⣤⠿⠞⠛⠋ ⣠⠾⠋⠙⣶⣤⣤⣤⣤⣤⣀⣠⣤⣾⣿⠴⠶⠚⠋⠉⠁⠀⠀⠀⠀⠀⠀ ⠛⠒⠛⠉⠉⠀⠀⠀⣴⠟⣣⡴⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢀⣀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠢⢀⠈⠑⢶⠉⠉⢩⠁⠀⡄⠑⢄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⠀⠐⠢⢀⠡⡐⡘⡀⠈⠸⣤⣾⡿⠲⠈⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢆⠀⢀⡒⠤⣑⡑⣰⢡⡄⡣⢺⠛⡁⢀⡴⠒⠠⢄⠀⠀ ⠀⠀⠀⠀⡀⠀⢀⠔⢉⠀⠤⠭⢐⡻⡟⣋⡽⢱⢷⠬⢐⠭⢐⣂⡀⠀⠉⢆ ⠀⢀⠞⣁⠀⢬⠃⠀⢀⠄⠒⠀⣈⠘⢧⣿⣴⣃⣘⡾⠦⠭⠤⠄⣀⠀⠀⢸ ⠼⠆⣅⢠⢀⣸⡀⠀⠁⠠⠂⠁⡠⠂⢡⢪⠛⠚⡝⠫⠑⠈⠑⢄⣀⣀⠴⠋ ⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀⠈⠀⠀⢃⠃⠀⡇⠘⡀⠡⠀⠐⠄⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠑⠒⡠⠤⠤⡴⢾⡀⠀⠀⠀⠇⠀⠃⠀⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠈⡝⠢⡀⠙⠂⢤⢀⡀⠀⠀⠀⡸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡜⢁⡀⡜⢄⠀⠄⠀⠀⡌⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠱⠤⠰⠀⡀⢢⠈⠤⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⢀⠜⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣤⣄⠀⠀⠀⠀⠀⢀⣤⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀ ⢴⣾⣿⣿⣿⣏⣉⣉⣉⣛⣛⣻⣿⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠙⢷⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣾⣿⣛⣛⣋⣉⣉⣉⣿⣿⣿⣿⣶⠄ ⠀⠙⢿⣿⣿⣿⡁⠀⠀⣉⡿⠋⠉⠉⠙⠛⠻⢿⣦⣄⠀⠀⠀⠀⠘⣇⠀⢀⡟⠀⠀⠀⠀⢀⣤⣾⠿⠛⠋⠉⠉⠉⠻⣏⡉⠀⠈⣹⣿⣿⣿⠟⠁⠀ ⠀⠀⠀⠙⣿⣿⣟⠉⠉⣙⡇⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣦⡀⠀⠀⢹⠀⣸⠃⠀⠀⣠⣾⠟⠋⠀⠀⠀⠀⠀⠀⠀⢀⣿⡉⠉⠹⣿⣿⡟⠉⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⣿⣟⠉⢉⣿⣦⣄⣀⣀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠸⡇⡿⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⢀⣀⣀⣤⣾⣍⠉⠙⣿⣿⡯⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣿⣿⣿⠉⠀⠀⣀⣨⡟⠛⠛⠒⠒⠤⢄⣀⠀⠙⢿⣆⣷⣧⣾⠟⠁⠀⣀⠤⠄⠒⠚⠛⠛⣯⣀⡀⠀⠉⢹⣿⣿⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⡟⠉⣀⡤⢷⡦⠄⠀⠀⠀⠀⠈⠙⠢⣌⣻⣿⣿⢋⠤⠚⠉⠀⠀⠀⠀⠀⠠⣶⠷⣄⡈⠙⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⠿⣿⣿⣿⣁⡤⠾⣷⣤⣴⠶⢶⣒⡻⠿⠿⢛⣿⣿⣿⣟⠛⠽⠿⢓⣲⠶⢶⣦⣴⡟⠦⣄⣹⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⣿⣿⣿⢛⣉⠥⠒⠉⠁⠀⣀⠔⢈⠔⣽⣿⣿⡝⢌⠒⢄⡀⠀⠉⠑⠢⢍⣙⢻⣿⣿⡟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠋⠀⠀⠀⢀⡤⠊⠀⡴⠋⣼⡟⣿⡟⢿⡄⠳⡄⠈⠢⣀⠀⠀⠀⠈⢻⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣯⢽⣀⠀⣀⣴⡏⠀⢀⡞⠁⣸⡿⠀⠉⠀⠘⣿⡀⠙⣆⠀⠘⣷⣄⡀⢀⡸⢯⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⣿⣿⡶⠋⡿⠋⣽⠷⣶⡟⠀⢰⣿⠃⠀⠀⠀⠀⢹⣧⠀⠘⣷⡖⢿⡍⠻⡏⠳⣶⣿⡟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣷⡞⠀⢠⡇⢰⡟⠀⠀⣾⡏⠀⠀⠀⠀⠀⠈⣿⡆⠀⠘⣧⠀⣷⠀⠹⣶⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣶⡟⠙⣿⡀⠀⣰⡿⠀⠀⠀⠀⠀⠀⠀⠸⣷⡀⠀⣹⣟⠙⣷⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢿⣿⣿⣿⡿⠿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠿⣿⣿⣿⣿⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⣤⠟⡇⠀⠀⠀⠀⠀⠀⣠⣶⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣼⣿⡃⠀⠀⢀⡾⡃⠀⣿⠀⠀⠀⠀⢠⡼⠋⢸⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⠟⠋⠁⣰⡟⣠⡇⠀⢻⡀⠀⢀⣴⠏⢀⡀⠘⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⠟⣶⣿⡇⠠⠸⣧⣠⠟⠁⢀⣾⡇⠀⣿⠀⠀⠀⠀⠀⠀⠀ ⠐⣧⡀⠀⠀⠀⣸⠏⢾⠿⣿⡇⠀⠀⠙⠃⠀⢠⣾⣿⡇⠀⣿⡆⠀⠀⢀⣀⠀⠀ ⠀⠀⠙⢦⣀⡾⢿⣶⣮⣅⡀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠅⠀⢹⣇⣠⠶⠛⠛⠀⠀ ⠀⢠⣄⣀⣹⡇⠘⣿⣿⣿⠿⠆⠀⠒⢻⣾⣶⣶⣤⡀⠀⣠⣼⡟⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣸⣧⠀⠀⠀⠀⠰⡆⠀⠀⠈⠿⣿⡿⡟⠻⠞⢯⣼⣇⣀⠀⠀⠀⠀⠀ ⠀⠠⡾⠛⠁⠘⠷⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠁⠀⠉⠛⠶⣤⣀⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⣿⣶⣶⣶⣶⣶⣶⠶⠛⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠙⠛⠛⠛⢻⣇⠀⠀⠀⠀⠉⠳⣦⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⡆⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡇⠀⠀⠀⡇⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⢸⠇⠀⠀⠀⣷⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣤⠴⠞⠛⠛⡆⠀⠀⠀⢸⣆⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⣋⢀⣀⣠⣴⣾⠇⠀⠀⣰⠟⠙⠶⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠉⢁⡴⠋⠀⠀⣠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣤⣤⡴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠤⠤⠠⡖⠲⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡠⠶⣴⣶⣄⠀⠀⠀⢀⣴⣞⣼⣴⣖⣶⣾⡷⣶⣿⣿⣷⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠙⢟⠛⠴⣶⣿⣿⠟⠙⣍⠑⢌⠙⢵⣝⢿⣽⡮⣎⢿⡦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢱⡶⣋⠿⣽⣸⡀⠘⣎⢢⡰⣷⢿⣣⠹⣿⢸⣿⢿⠿⡦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢧⡿⣇⡅⣿⣇⠗⢤⣸⣿⢳⣹⡀⠳⣷⣻⣼⢿⣯⡷⣿⣁⠒⠠⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⣼⣿⣧⡏⣿⣿⢾⣯⡠⣾⣸⣿⡿⣦⣙⣿⢹⡇⣿⣷⣝⠿⣅⣂⡀⠀⠡⢂⠄⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⣿⡟⣿⡇⡏⣿⣽⣿⣧⢻⡗⡇⣇⣤⣿⣿⣿⣧⣿⣿⡲⣭⣀⡭⠛⠁⠀⠀⠈⠀⠉⢂⢄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⢻⣿⣇⣥⣏⣘⣿⣏⠛⠻⣷⠿⡻⡛⠷⡽⡿⣿⣿⣿⣷⠟⠓⠉⠢⢄⡀⠀⠀⠀⠀⠀⠁⠫⢢⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⢸⣾⣿⣽⣿⣏⣻⠻⠁⢠⠁⠀⠀⠀⠘⣰⣿⣿⢟⢹⢻⠀⠀⠀⠀⠀⠈⠒⢄⡀⠀⠀⠀⠀⠀⠀⠑⢄ ⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⢸⣯⣿⣿⣿⢷⡀⠀⠀⠀⠀⠀⠀⠀⠛⣩⣿⣿⢿⣾⣸⠀⠀⠀⠀⠀⠀⢀⡠⠚⠉⠉⠁⠀⠀⠀⢀⠌ ⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⠀⢟⣿⣯⡟⠿⡟⢇⡀⠀⠀⠐⠁⢀⢴⠋⡼⢣⣿⣻⡏⠀⠀⠀⣀⠄⠂⠁⠀⠀⠀⠀⠀⠀⢀⡤⠂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠈⠊⢻⣿⣜⡹⡀⠈⠱⠂⠤⠔⠡⢶⣽⡷⢟⡿⠕⠒⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⡠⠐⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⢿⠿⠿⢿⠾⣽⡀⠀⠀⠀⠈⠻⣥⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠒⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡀⡀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣖⠂⠠⠐⠋⠀⠙⠳⣤⣠⠀⠀⠀⣀⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠵⡐⠄⠀⠀⠀⠀⠀⠀⠀⠈⢷⣄⡀⠀⠠⡀⠀⠈⠙⠶⣖⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡥⠈⠂⠀⠀⠀⠀⠀⠀⠀⣼⠉⠙⠲⣄⠈⠣⡀⠀⠀⠈⢻⡦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠈⣷⡄⠈⠄⠀⠀⠀⢧⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⡀⠀⢠⣿⣤⣤⣶⣶⣾⣿⣿⡄⢸⠀⠀⠀⢸⣄⣤⣼⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠇⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢸⠀⠀⠀⣼⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⢀⣼⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠁⠀⠈⠉⠙⠛⠿⠿⠽⠿⠟⠛⡉⠛⠲⣿⣿⠿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⢠⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠋⠀⠀⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢔⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠊⠀⠀⠀⠀⠀⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⣻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢫⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⡿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⠏⣸⣿⣷⢷⠙⣻⢶⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠾⠉⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠰⣏⠀⣿⣿⡘⣼⡇⠀⠁⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠁⠀⠀⣽⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢙⠓⠛⠘⣧⠾⢷⣄⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⣿⢟⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⠀⠀⠀⢸⣧⠀⠹⣆⠀⠀⠀⠀⠈⢻⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⢂⠙⢿⡷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢃⠀⠀⠈⠙⠀⠀⠻⡄⠀⠀⠀⠀⠸⡀⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠐⠠⠀⠻⠬⠄⡒⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠑⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠤⠤⣴⣒⣒⡛⠒⠒⠶⠶⣦⣄⡀⠀⠀⠀⠀⠀⠀⢀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⡃⠀⠀⠀⠀⠀⠩⣙⣳⣦⣤⣀⠀⠈⣽⣶⣦⣄⡀⠀⣴⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣚⠉⠛⡼⡹⣳⣦⡀⠀⠀⠀⠀⠀⠒⠤⣈⠉⠑⠛⠿⠿⠿⢿⣾⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠒⠋⣉⣁⣀⣀⠼⠟⠋⠁⠀⠉⠳⣄⡀⠀⠀⠀⠄⠀⠙⠢⣀⠀⠀⠀⠀⠈⠲⣶⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⠃⠀⡼⣷⠶⠋⠙⠆⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠙⠢⣄⠀⠀⠀⠈⠻⣿⠿⣿⣿⣿⣷⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡏⠀⢠⡟⠁⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⠀⠀⠀⠀⠀⠀⠀⠀⠑⢦⡀⠈⢦⠹⣦⡀⠉⠙⠯⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡾⠀⠀⠘⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣠⠤⠄⢦⡀⠀⡀⠀⠀⠀⡀⠀⠀⠀⠙⢦⡈⣷⠟⠛⢀⠀⠀⠈⠙⠻⠶⣤⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠃⠀⠀⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡗⢄⠀⠘⡟⢦⡈⢦⡀⠀⠘⡄⠀⠀⠀⠀⠙⢿⣦⡀⢀⠓⣄⠀⠒⢶⡔⠂⠚⠙⠛⠁⠀⠀⠀ ⣀⣀⣀⣀⡏⠀⠄⠀⡇⠀⠀⠀⡠⠀⠀⠀⠀⠀⠀⠀⣆⠀⢳⠈⠳⣄⠸⡄⠙⢆⣟⢦⠀⢹⡀⠀⠀⠀⠀⠀⠁⠙⣄⠉⠺⢆⡀⠀⠙⠳⣄⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠀⠈⠀⠀⣎⠀⠀⠘⢹⡧⡀⠀⠀⠀⠀⠀⢻⢆⠘⣇⠀⠈⠓⢿⡀⠀⠸⡌⠳⣀⡇⢇⠀⠀⠀⠐⢦⢄⣈⠳⣄⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀ ⠘⣿⣿⡇⠀⠀⠀⠀⢾⠀⢀⠀⠀⡇⠙⠶⣄⠀⠀⠀⠸⡎⠳⢽⣤⣶⣾⣾⣿⣿⡋⢳⠀⠘⠇⠘⡆⠀⡆⠀⢸⡀⠈⠙⠚⠿⡍⠉⠉⠛⠒⠒⠻⠆⠀⠀⠀ ⠀⢘⡿⠀⠀⠀⡀⠀⢻⠀⢸⣦⠀⢇⢀⡀⠈⠻⢦⡀⠀⢷⠀⠀⠩⣿⡟⣟⠯⣿⠃⠘⡆⠀⠀⠀⢹⣀⡇⠀⠘⡇⠀⠠⣄⠀⠙⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡼⢁⣴⠀⠀⠸⡄⢸⠀⠘⡇⠣⣼⣀⣴⣾⡀⠀⠉⠓⠼⡇⠀⠀⠈⠛⠛⠋⠁⠀⠀⢧⠀⠀⠀⠈⡿⠀⡄⠀⣿⠀⠀⢹⡿⣦⡘⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⣵⣿⣿⡆⠀⠀⢳⢸⡀⠀⢷⣠⣾⣿⡿⢿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⣼⡆⠀⠃⢀⣷⠀⣿⠀⠀⠀⡇⠈⠻⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⢋⣽⣿⣿⣧⠀⠀⠘⣮⠳⡀⠸⡟⢿⣟⣳⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢠⡟⢇⠀⠀⢸⠉⡆⡿⢀⡤⢲⣇⠀⣀⣩⣤⠀⠀⠀⠀⠀⠀⠀ ⠀⠁⠉⠀⣿⡄⠀⠀⠙⡇⠙⣶⣧⠀⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⡟⠀⢺⠀⠀⡞⠑⢳⠟⠉⠀⠛⠉⠉⠈⢠⣇⡠⢤⡤⠀⠀⠀⠀ ⠀⠀⠀⢰⠃⣧⠀⢀⠀⢀⠀⠈⢳⡀⢠⣦⣄⣠⣄⠀⠀⠀⠀⢠⢄⣠⠔⠁⠀⠀⠀⠀⠀⡀⠀⢸⡇⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢜⣀⢀⠀⠀⠀ ⠀⠀⠀⡼⠀⣸⡆⢸⠀⠀⠣⡀⠀⣧⣛⣻⠿⢿⣿⠀⠈⠒⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡉⠙⣧⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢭⡟⠁⠀ ⠀⠀⢰⣡⠞⠁⣧⢸⢧⣴⣶⢟⡛⢫⠙⠛⠁⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠁⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠋ ⠀⠀⠛⠁⠀⢀⣿⣻⣾⣿⡿⢿⠜⠁⠀⣀⡴⠃⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⡀⠀ ⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⡿⣶⡀⠀⣚⠞⢰⢠⣿⣯⡏⠉⡉⠉⠻⣿⣩⣽⣾⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠐⠾⡭⠉⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣶⣍⠻⣾⣿⡞⠃⠀⢸⡿⣷⣿⣭⡛⢧⡀⠀⢈⣿⣿⣿⡿⠟⠛⣽⣃⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⣿⢳⣿⣿⣿⣿⣇⢻⣼⡃⢸⣤⠾⣰⣿⣿⣿⣿⢆⡉⢦⣾⠟⡋⠁⠆⠀⢀⣠⣴⣿⡆⠀⠀⠀⠀⠀⢄⠀⠀⣴⡄⡰⠒⠢⢼⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢹⢿⣯⡻⣿⣿⣿⢧⣿⣾⣇⢈⣿⣾⣿⣿⣿⣿⡏⠃⠀⠀⠀⣴⠁⢠⣀⣴⣿⣿⣿⣿⣿⣷⣷⡤⡀⠀⣿⠳⣤⡇⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠽⢞⡿⡿⢿⡾⣿⢷⡿⢁⡞⠉⣉⠻⣿⣿⣿⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⡿⣚⣷⣿⣿⠟⠀⠙⢢⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢫⣾⣿⣷⣻⠽⡆⣠⡟⠃⡎⠀⠈⢺⣿⡏⢠⠒⠢⡼⣿⣿⣿⣝⣻⣭⣶⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⣸⣿⣿⣇⣿⢳⣿⣿⡷⢟⣦⣤⠷⠻⢧⠐⢄⢠⡄⠘⢿⢿⣿⠿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⣮⡻⢏⣽⠾⣫⣿⣿⡞⠁⠀⠀⠀⠀⠁⠈⡿⢤⡋⠙⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣿⣿⣷⣶⣿⣿⣟⠁⡀⢀⠀⠀⠀⠀⠀⡘⢱⠀⠉⠉⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠿⠶⠧⠮⠤⠀⠐⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠐⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠉⠓⠢⢤⣀⢠⣃⣀⢀⡞⢁⡼⠛⠃⠀⣱⠁⢻⠈⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠒⠀⡇⠀⠀⡠⠋⠈⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣎⣠⡶⠗⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠁⠠⠈⢰⡇⠉⠂⢄⡀⠀⠀⠀⠀⠀⠀⠀⢁⠂⠀⢀⡟⠠⠞⠀⠠⡄⣱⠃⠀⠈⣇⣀⣀⡤⠆⠂⠂⠂⠂⠒⠉⠁⠁⠀⠀⠀⡇⢀⠎⠀⠀⠀⠀⠀⠁⠀⢠⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢚⣷⡾⠁⠀⠀⠀⠀⠀⠀⢀⠀⠀⠁⠠⠈⠀⠄⢸⣇⠀⠀⠀⠀⠁⠂⠠⢀⠀⠀⠀⠎⠀⢀⡞⠀⠠⠀⠂⣽⣻⠃⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡠⠚⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⢾⣿⠇⠀⠀⠀⠀⠀⠀⢀⠀⠀⠈⠀⠄⠐⠀⠠⢸⠁⠑⠤⢀⣀⠀⠀⠀⠀⠀⠀⠉⠀⢀⡏⠀⠐⠀⣡⢾⡟⠁⠀⠀⠀⠀⠀⠻⡄⠀⠀⠀⠀⣀⡤⠔⠋⠉⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⠃⣯⢾⠀⢀⣴⡟⠀⠀⠀⠀⡀⠈⠀⠄⠀⠂⠈⢀⢸⠀⠀⠀⠀⠀⠀⠁⠑⠢⣀⡀⠀⢠⠟⠀⣈⣤⠞⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⢳⠐⠒⠊⠉⠀⠀⠀⠀⠀⠀⠀⢀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⠃⠀⣷⣿⣴⣟⡿⠁⠀⠀⣀⣁⠀⠀⠐⠀⡈⠀⢁⠀⣼⠄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣎⣠⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⢀⣀⣀⡀⠤⠂⠁⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠃⠀⠀⠉⢁⣼⡿⢶⣞⡿⣿⣿⡏⠀⠈⡀⠐⠀⢈⠀⣼⢹⠦⠀⠁⠂⠤⣀⠀⠀⠀⠀⠀⡾⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⣏⠁⠉⠉⠀⠀⠀⠀⠀⠀⠀⣸⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡞⠀⠀⠀⠀⠞⠛⠛⠉⢁⣿⡿⣿⠁⣀⡐⢂⠄⢈⡆⢠⠇⣼⠀⠀⠀⠀⠀⠀⠀⠉⠐⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⣀⡤⠄⠊⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣼⡟⠁⢃⣤⣿⣷⠋⠐⣿⠈⠁⠀⠀⠀⠀⠀⠀⠀⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡒⠋⠉⠉⠉⠁⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡿⢋⣿⢁⣴⣾⣿⣿⣟⣠⠟⡏⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⢀⡀⠠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡏⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠘⣯⣼⣿⠟⣿⣿⠟⠁⣸⠁⠒⠠⢀⡀⠀⠠⠈⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⡧⠖⠒⠒⠁⠉⠁⠀⠀⢻⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣧⠀⣴⡇⠀⢰⠀⠀⠀⢀⠀⡜⠀⠀⠹⡏⢁⣴⠛⠁⠀⢠⠇⠀⠀⠀⠀⠀⠜⠁⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣧⢹⣒⣒⠶⠶⢦⡤⠝⠛⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⠞⢠⡁⠀⢷⠀⠀⢀⠎⠸⠀⠀⠀⢀⣴⠋⠁⠀⠀⢀⠏⠈⠉⠀⠀⢀⣀⠀⠤⠐⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠸⡇⠀⠈⠆⢀⠇⠀⠁⠀⣼⢠⡞⡁⠀⠀⠀⢀⠏⠀⠀⠀⠚⠛⠂⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣀⠀⠀⢀⣀⣀⣀⣀⠠⠄⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠹⡄⠀⠈⠚⠂⠀⠀⣴⣿⡎⠀⠀⠀⠀⠀⡞⠀⠀⠐⠒⠐⠀⠀⠀⠀⠈⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⡂⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢄⠀⠀⠀⠀⠀⡇⠈⠀⠀⠀⠀⠀⠈⢳⠀⠀⠀⠀⢀⠀⠀⠤⠄⠒⠂⠨⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠢⢤⣀⡀⢳⢀⣀⣠⠤⠤⠤⠤⠬⡇⠒⠈⠉⠀⠀⠀⠀⠀⠀⢀⠀⠘⣆⢀⣀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠤⠂⠈⠙⠁⡀⠄⢂⠐⡀⠆⠐⣻⠀⠀⢀⡀⠄⠐⠂⠉⢀⣀⣀⣠⣼⣦⣤⣂⠐⠐⡈⠐⢂⠁⠒⠠⢁⠂⠌⢉⠑⢦⠀⣠⠤⠴⠾⢲⠶⠶⠤⠤⢤⣀⣀⠒⠀⠤⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠳⠤⣌⣌⣠⠁⡐⠈⠄⢂⠐⡈⠄⣹⡖⠀⣀⣠⣦⣶⣿⣿⣭⣽⣶⣷⣽⣶⣬⣭⡳⣥⠀⠡⠀⠌⠠⢁⠂⠌⡀⠂⠌⢀⣾⣥⣶⣶⣿⣿⢿⡿⣿⣿⣿⣿⣮⣽⣿⣶⣄⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠌⠐⡀⢂⠐⠠⢈⣷⣿⣿⣿⣟⡿⣽⣻⣿⣟⡷⣯⣟⣿⣿⣟⣿⣿⠇⠠⢁⠈⡐⠠⠈⠄⠠⢁⠂⣼⣿⣯⣷⣻⣿⣽⢯⣟⣷⣿⣟⣾⣽⣻⣟⡿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠦⣌⡐⢀⠂⡈⠐⡀⠻⣿⣿⣿⣾⣿⣿⣽⣯⣿⣟⣷⣿⣾⣿⣿⣿⡿⠀⡁⠂⡐⠠⠁⠌⠠⠁⠂⠄⡈⢿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣾⣷⣿⣾⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠃⠐⠤⠀⠙⠛⠿⠿⣿⣿⣿⣿⠿⠿⠟⠛⢋⠉⡀⠄⢂⠐⠠⠐⠠⠁⠌⠠⠁⠌⠠⠐⡀⠈⠉⠛⠛⠟⠻⠟⠟⠻⠛⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠒⠐⠒⠂⠂⠂⠑⠀⠃⠈⠀⠃⠈⠀⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡿⢋⣥⣴⣶⣦⣍⠻⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣴⡟⡿⡿⣻⠿⠻⢷⡜⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⡿⣿⢿⡏⠁⠉⠠⠀⢇⢹⣿ ⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⠸⢇⡟⠀⠁⢠⣦⣌⠚⣦⣦⢻ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣤⣄ ⠀⠀⣬⣑⠟⠁⣰⣿⣿⡇ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠄⣾⣿⣿⣿⣦⠸⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⢰⣿⣿⡛⢿⣿⣆⠹⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢃⣐⣛⡚⠿⣿⣧⣄⢻⣿⣧⠙⣿ ⣿⣿⣿⣿⠿⢛⣛⢛⣛⣡⣾⣿⣿⣿⣿⣷⣮⡙⢿⣦⠹⣿⣷⠘ ⣿⣿⡿⢡⣾⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠁⠐⠚⠻⣿⠀ ⣿⡟⣰⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⢸⣿⣿⣿ ⣿⢠⣿⣿⣿⣿⣿⣿⣿⢿⣿⣟⢿⣿⣿⣿⣿⣿⣿⣿⡄⣿⣿⣿ ⣿⢸⣿⣿⣿⣿⣿⣿⢡⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⠃⣿⣿⣿ ⣿⠀⠻⢿⣿⣿⣿⣿⣌⠛⠚⠋⡀⠿⣿⠿⠿⠛⠋⠅⠀⣿⣿⣿ ⣿⠀⠀⠀⠀⠈⠉⠉⠁⠀⣧⠰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⣿⡄⠀⠀⠀⠀⠀⠀⠀⢠⣿⡄⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿ ⣿⣷⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣶⠀⠀⠀⠀⠀⠀⠀⢰⣿⣧⣿

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Ppl don't even know what a femboy is. A fem boy isn't sexual, it is like a tomboy. A masculine girl. And a femboy is a feminine boy. Please upvote this so we could spread the word!! ᶻ 𝗓 𐰁 .ᐟ

Warning: This item may contain sensitive themes such as nudity.

⠀⠀⠀⠀⠀⠀⢀⣤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⢤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡼⠋⠀⣀⠄⡂⠍⣀⣒⣒⠂⠀⠬⠤⠤⠬⠍⠉⠝⠲⣄⡀⠀⠀ ⠀⠀⠀⢀⡾⠁⠀⠊⢔⠕⠈⣀⣀⡀⠈⠆⠀⠀⠀⡍⠁⠀⠁⢂⠀⠈⣷⠀⠀ ⠀⠀⣠⣾⠥⠀⠀⣠⢠⣞⣿⣿⣿⣉⠳⣄⠀⠀⣀⣤⣶⣶⣶⡄⠀⠀⣘⢦⡀ ⢀⡞⡍⣠⠞⢋⡛⠶⠤⣤⠴⠚⠀⠈⠙⠁⠀⠀⢹⡏⠁⠀⣀⣠⠤⢤⡕⠱⣷ ⠘⡇⠇⣯⠤⢾⡙⠲⢤⣀⡀⠤⠀⢲⡖⣂⣀⠀⠀⢙⣶⣄⠈⠉⣸⡄⠠⣠⡿ ⠀⠹⣜⡪⠀⠈⢷⣦⣬⣏⠉⠛⠲⣮⣧⣁⣀⣀⠶⠞⢁⣀⣨⢶⢿⣧⠉⡼⠁ ⠀⠀⠈⢷⡀⠀⠀⠳⣌⡟⠻⠷⣶⣧⣀⣀⣹⣉⣉⣿⣉⣉⣇⣼⣾⣿⠀⡇⠀ ⠀⠀⠀⠈⢳⡄⠀⠀⠘⠳⣄⡀⡼⠈⠉⠛⡿⠿⠿⡿⠿⣿⢿⣿⣿⡇⠀⡇⠀ ⠀⠀⠀⠀⠀⠙⢦⣕⠠⣒⠌⡙⠓⠶⠤⣤⣧⣀⣸⣇⣴⣧⠾⠾⠋⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣭⣒⠩⠖⢠⣤⠄⠀⠀⠀⠀⠀⠠⠔⠁⡰⠀⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⢤⣀⣀⠉⠉⠀⠀⠀⠀⠀⠁⠀⣠⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠒⠲⠶⠤⠴⠒⠚⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢻⢟⡿⢻⡟⣧⣼⣿⢺⢣⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⡿⣇⠳⣌⠲⡕⢺⣈⠿⣿⣿⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡗⢨⠷⣬⡄⢡⣤⡼⡘⣿⣿⣿⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⡗⣫⠛⣟⠛⡿⣉⣞⡟⠛⣿⣿⣿⢸⢣⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⡤⢋⠴⣉⠒⡇⡄⢠⢸⣽⣿⣿⢠⠻⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⣿⣿⣧⡏⢦⢡⢏⡴⡇⠼⣭⣾⣿⣯⢂⠧⣹⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿⣿⣯⣦⡝⣊⠴⣩⢾⣽⣿⣿⢿⣯⡖⣹⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⡗⢢⠜⡤⠓⣼⣿⣿⣿⣿⣿⣧⢍⠻⢿⢧⣤⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣟⡟⡣⢇⠼⢠⢻⣿⣿⣿⣿⣿⣿⢛⡄⣻⡼⠘⠛⢻⡤⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⣦⣶⡟⣛⢛⠣⢆⡱⣑⠪⣌⢃⢮⣻⣿⣿⣿⣿⣛⣜⡲⣇⠠⠃⡌⡘⢳⣤⠀⠀⠀⠀ ⠀⠀⠀⢢⣟⡳⢦⠱⣌⠪⡑⢎⠴⣣⢓⠦⣉⠶⣹⣿⣿⣿⢛⡴⣩⢗⣦⣐⣡⠐⡠⠙⢳⡤⠀⠀⠀ ⠀⠀⣤⡾⣏⡗⣌⠣⡔⢣⡙⣬⡖⡱⣎⢖⡡⢚⠜⣹⢿⣷⣞⣈⠑⢺⣖⣭⣛⣶⣀⣳⣾⣗⠀⠀⠀ ⠀⠀⣽⣷⢣⡝⣣⣓⣞⡓⠒⠓⠚⠓⢚⣺⣥⡋⢼⣜⣟⡚⢛⣻⣄⣡⠀⠤⢀⢚⣴⠀⠀⢸⣏⠀⠀ ⠀⠀⣿⣧⡗⡞⠓⡓⠂⠀⠀⠀⠀⠀⠀⠐⢚⡛⠛⡓⠃⠀⠀⠀⠘⢚⢻⡓⡈⢼⣠⣠⠀⠀⢸⣿⠀ ⠀⠀⣻⡇⠃⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⢠⢸⡶⠁⡜⢰⣰⢡⡀⢸⣿⠀ ⠀⣿⡧⠀⠀⠀⣤⣦⡄⡀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⢠⡇⠀⠀⠀⢸⣝⣓⢰⣦⠽⣹⣼⣣⣼⣿⠀ ⠀⣿⡏⡇⠀⠠⣟⢣⢛⠫⡇⠀⠀⠀⢀⢬⡽⡇⡄⠀⢘⣻⣧⠄⢸⡅⢠⣼⠛⡜⢢⠅⣧⠀⠘⠛⣤ ⠀⠀⣾⡇⠘⣻⣧⣎⡌⢣⢻⣇⡆⠄⣭⣞⡵⢃⡇⠀⠀⢀⢲⣽⢸⢦⣿⣟⠸⣌⣹⣿⡟⠀⠀⢨⣿ ⣤⡟⠋⡃⠃⣼⣿⣿⣧⣇⡟⢸⣝⡟⠃⠂⣹⢀⡇⠀⠀⠀⠛⠐⢺⢻⣽⡿⢸⣻⣿⣿⡿⠀⢠⣴⠛ ⣿⡅⠠⢤⡅⡀⠟⠛⠛⠃⢠⣽⣯⡇⠤⡁⢌⠂⡧⡄⠀⠠⣙⠠⢼⢿⣿⡧⠀⠐⠊⠓⠀⢠⣼⠛⠀ ⠀⠛⢣⣤⣥⣭⣥⣤⣯⣿⡿⣟⢦⣛⢧⡜⢠⠃⡇⡅⠠⠽⣀⢹⡏⠿⣿⡟⢛⣤⣤⡼⠛⠛⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⡗⡏⠤⠹⠎⢏⡐⢢⢁⠲⣌⠒⢄⠺⠍⠷⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⡏⢿⡽⠇⡌⠱⣈⠂⠄⢡⠊⠆⠠⢈⠰⡈⠜⡠⠻⢧⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣏⠅⠀⠘⠰⡈⢅⠢⠐⡈⠐⡈⢂⠡⠀⢂⠱⡈⠔⡃⢺⣏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⣯⢱⡎⠁⠀⢸⣧⡌⢢⠁⡄⢡⠐⢠⠀⢡⠈⡆⣥⡎⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣤⣟⠣⡇⠀⠃⡆⡀⠘⢳⡎⠰⡀⠆⠰⠠⠌⡄⣓⡲⠛⢠⡜⠘⢳⣤⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⡧⣗⡃⠈⠄⡀⣇⡀⠀⠘⢳⣈⣆⣡⣃⣜⡖⠚⢀⣸⠃⡐⠀⢺⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢼⡯⡅⡇⢈⠐⡀⠄⣇⡀⠀⠀⠈⠐⠐⠃⠀⢀⣐⣺⣦⠐⢀⠁⠂⢸⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣷⡇⡇⢀⠂⡐⠠⠀⠣⡄⠀⠀⠀⠀⠀⢠⢴⡞⣧⠀⡐⠠⢈⠐⢸⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⣿⣧⡍⡇⡀⠄⠡⠈⠄⣻⡅⡀⠀⢠⣼⣼⣻⣜⣷⠀⠄⡁⢂⠈⢸⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⣿⣿⣇⡜⡃⠠⠁⠌⠠⠀⢞⣹⣶⣿⡿⣽⡷⣎⠀⠄⢂⠐⠠⢈⢸⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⣿⡽⣇⠳⡆⠁⠌⡀⢁⢮⣽⣿⣿⣟⡷⡻⣜⠠⠈⠄⡈⠐⡀⢸⣟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢻⣿⣧⡇⡇⠈⠄⡀⢏⣿⣿⣿⣿⣟⡷⣣⢏⠠⠈⠐⠠⢁⢰⣼⠓⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⣳⣻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⣏⣷⡿⢹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡻⣡⣷⠟⡀⢼⣷⠧⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣯⣽⣿⡓⢄⡐⠠⣀⣶⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⢇⡘⢄⠒⣥⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡴⢯⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⡠⣾⣿⣯⣟⡲⣬⣜⣮⣙⡾⢿⣿⣟⡿⣛⠷⣦⣄⡤⢔⣶⣶⣟⡾⣍⢯⣙⣧⢽⣯⡇⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⠼⣗⣮⣾⣿⡿⠿⢿⣟⣟⣻⡽⣏⡿⣟⡿⣏⣷⢫⡟⣶⣹⢻⣿⣿⣻⣾⣽⣾⣟⣿⠞⢫⣿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠇⣀⣼⣿⣿⣁⣀⢀⣼⠿⣼⣳⡽⣯⢿⣹⣷⣻⡼⣣⣟⡲⣭⠳⡽⣿⣯⣷⣿⠟⡻⠁⠚⣿⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⣴⣿⣷⡀⠉⢠⣾⣏⡿⣫⢷⣻⣽⣟⡿⣾⢟⣽⣻⣬⢳⣧⢻⡵⣏⣿⣿⣣⢋⢄⣠⢐⣨⡭⠇⠀⠀⠀⠀⠀⠀ ⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡵⠟⣿⡿⠹⣿⣶⣿⣷⢞⣽⢯⡿⣷⣿⡽⣿⣻⣿⣷⣟⣾⠿⣜⣣⣞⡧⣿⢿⣷⣩⣾⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⣤⣼⣯⣅⣤⣼⣿⣧⣶⢿⣿⣿⣼⣿⣧⣿⣾⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣾⣵⣿⣷⣿⣿⣿⣿⣿⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⡟⣯⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡝⠻⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣃⢘⡀⡛⡘⢃⢃⡘⣀⠛⡘⠛⣃⠘⠛⡇⢿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⡿⣿⣿⣿⢏⣧⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣩⣿⣸⠘⡛⡇⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡔⢠⠂⢡⠐⣁⢂⠰⠀⡌⠄⡡⢀⠜⡐⠰⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡜⣿⣻⣽⣾⣧⢓⢃⠐⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠆⡂⢅⠢⢈⠄⢂⠄⢃⠐⠰⢀⠂⠔⡀⢃⡣⢿⢿⣿⣿⣿⣿⣾⢿⣿⣿⣿⣿⣿⣾⢰⣛⢣⢭⡾⠈⠻⣿⣷⢿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⡓⠓⠌⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡱⠈⡄⠢⢁⠌⠂⡌⠄⢊⠐⠤⢈⡐⠄⢂⠁⠾⣿⣿⣿⣿⣷⣿⣿⡿⣯⣿⣿⣿⣿⣇⠌⠣⠎⠬⠢⣢⠀⠀⣼⣟⣫⠋⣻⣿⣿⣿⣿⡿⢿⣿⣦⠽⡂⠀⠀⠀⠀⠀⠀⠀ ⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⡠⠑⡠⠑⡈⠄⢃⠰⢈⡐⠌⡐⠄⡐⡈⠤⢈⠴⡙⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣾⢿⣧⡐⢀⠂⠄⢀⠂⠁⣹⡖⡍⣦⣿⣿⣿⣿⣽⢣⢁⡀⠉⡄⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡅⢊⠤⠑⡈⢌⡐⢂⠂⠔⡐⠠⢊⠐⠠⠌⣀⠢⠘⢌⠻⣿⣿⣿⡿⣿⣿⣿⣿⣿⡿⢆⡈⠉⠣⢌⡐⣀⠌⠰⡉⢁⠙⣻⣿⣿⣿⡿⢃⠇⢤⣴⣡⢀⢃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⠌⡐⠂⠥⡈⠤⠐⢂⢉⠰⢀⠃⢄⠊⡁⢂⠄⠂⠍⠢⠑⠢⠝⡿⡝⣿⣿⣿⣿⡿⢻⣯⣞⢢⠁⠠⠡⡤⡑⠣⡐⢀⣲⣿⣿⣿⡟⠔⠡⡈⠄⣻⡛⢦⡟⢳⡶⠓⡆⠀⣰⠆ ⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠎⡐⡉⠰⠐⣂⠉⡄⢊⠐⡈⠔⠂⠤⢁⠂⠌⠌⡐⠡⢈⠤⠁⢅⠰⢼⣿⣽⣾⣙⣧⢞⡽⣷⣾⣄⡐⢠⢐⣡⣴⣿⣿⣿⠏⣛⠿⠿⠐⡠⠑⡨⢉⠍⡋⠉⠁⠀⣇⣠⡓⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢣⠐⡡⢁⠣⢀⠎⡐⠨⠄⡡⢘⠈⠔⢂⠉⡰⠈⠤⠑⣀⠂⣁⢂⣄⣾⠿⡿⠽⠿⠿⣿⣿⠷⢓⠚⡉⠛⠻⣟⢛⣹⣟⠯⠊⡄⠂⡔⠡⠄⢃⠔⡁⠆⡇⠀⠀⠀⠉⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣂⠱⣀⠃⡌⠢⡐⠌⡁⠆⣁⠢⢉⠰⢈⠰⢀⠱⢈⠡⡀⡲⠚⣹⣿⡯⠟⠋⠍⡐⠠⠀⠄⡐⠂⠡⠀⠄⡁⠈⢯⣢⢀⠂⠥⠐⠡⠄⡑⡈⠆⡰⢈⠔⡁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⡠⢡⠐⡌⡐⠡⢄⠃⡌⠰⡀⠆⣁⠒⡈⠔⣈⠰⢈⢢⢊⠔⣫⢻⡽⡱⣈⢂⠡⠐⠀⠀⠀⠀⢈⠐⢀⠀⠠⠁⠈⢷⠢⠜⣨⣭⡭⣗⡔⡁⢢⠁⠆⡌⠄⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠡⢂⠥⡐⠌⡡⢂⠜⠠⡑⢠⠑⡠⠂⠥⠘⡀⠆⣡⢃⢏⣺⢋⡷⢗⡱⠨⡆⡑⢂⠐⢈⠀⢂⠀⠄⠠⠀⠄⡐⠈⠨⡷⣾⣽⡟⣡⡗⣞⡤⢁⠎⡰⣈⠜⣠⠤⠴⢦⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠣⢌⠂⡔⢡⠂⡅⢊⡁⢆⠡⢂⠅⡱⢈⠡⢂⡑⡆⣎⠟⡁⣮⣼⢳⠂⢁⠘⠢⢆⡈⠢⡘⠤⠘⡀⢂⠈⡐⠀⠌⡀⢿⢾⣿⡟⣟⡼⣸⡘⠆⣊⠥⠞⠋⠉⠀⣿⡯⣧⠄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⡱⢈⠒⢌⡐⢢⠘⢄⠒⡨⢐⠡⢌⠰⢈⠢⢡⢰⢰⡸⢂⢡⢣⣇⡟⠀⠀⠌⠑⠢⢌⡑⢢⡘⠤⢁⠂⡐⠀⠡⢀⡁⢾⡻⢞⣿⣯⡷⡣⣳⠟⠁⠠⢀⠂⠌⡐⠤⢿⣿⡦⠀ ⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢅⠊⡌⢢⠘⢄⠊⡄⢣⠐⡡⢊⠰⡈⠆⡑⠢⢼⢸⡇⢢⢸⣽⢲⡀⠄⠀⠀⢈⠐⢠⢉⣾⡴⢃⢎⡐⠠⢁⠂⠄⠠⠸⡿⠭⢒⠭⡍⣱⡟⢀⠡⠂⢤⣜⣤⣣⣯⢗⡾⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢆⡱⢈⠆⡉⢆⠱⡈⠆⡱⢀⠃⢆⠱⡈⠔⡡⢊⢸⢁⠂⣯⢾⡙⢦⠐⡈⠠⢀⠌⡰⢎⡧⢻⣌⠒⡌⡑⢢⠈⠤⠁⠄⣧⠹⡡⡞⢠⡋⠄⢂⠡⢎⡿⡄⠀⠉⠉⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⢢⠐⡡⢊⠔⡈⢆⠱⡈⠔⡡⢊⠔⣂⠱⠘⠤⠡⡼⣼⠘⡧⢾⡝⣪⢣⢔⡡⢎⡜⡱⢎⡜⣣⢯⡘⠤⡑⠠⠑⠂⡁⠂⢸⡆⢷⢡⡟⠀⠌⣂⠱⣺⡰⡇⠀⠀⠀⠀⠀⠀⠀ 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⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠓⠒⠒⠒⠢⣿⠋⠀⠀⠀⠈⣷⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⣤⡾⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣥⣤⣤⣼⣿⣧⣤⣤⣤⠾⣧⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠁⢸⣃⢁⣰⣯⡾⠋⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠸⣿⡿⠉⠀⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠙⢷⡀⠄⠀⠀⠀⠀⣿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⡟⠿⠿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠉⠀⠀⠀⠀⡿⢉⣼⠟⠉⠀⠀⠠⣠⡴⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⡟⠀⠀⠀⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠄⠀⠀⠛⢦⡀⠀⠀⠀⢹⠀⠀⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟ ⠘⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢖⣼⡿⠋⠁⠀⢀⣦⡷⠟⠉⠀⠀⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⢸⠃⠀⠀⠀⡟⢸⣿⣿⣿⣿⣿⣿⣿⣿⠋⠛⢶⣄⠀⠀⠀⠙⢦⣀⠀⢸⡇⠀⠀⠀⠀⠀⠈⠉⠙⠛⠻⠿⠿⠿⠿⠿⠿⢻⡇ ⠀⢿⣵⠀⠆⠀⠀⢠⣄⡀⡀⠀⠀⢀⣀⣤⠞⢋⣁⣠⡤⠶⠛⠋⠁⠀⠀⢠⢀⣴⠞⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⡟⠀⠀⠀⢀⡇⣾⣿⣿⣿⣿⣿⣿⡿⣅⣠⠀⠀⠉⠛⠶⣤⣀⠀⠙⠳⣤⣻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁ ⠀⠸⣯⠟⠛⠒⠒⠶⠾⠷⠟⠒⠚⠛⠛⠛⢫⠍⠁⠀⠀⠀⠀⠀⠀⢀⣸⠾⠋⠁⣠⣿⡿⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢰⡇⠀⠀⠀⣼⢠⣿⣿⣿⣿⣿⣿⡟⡑⠈⠛⢦⣀⠀⠀⠀⠀⠉⠛⠶⢤⣌⣙⡳⢤⣀⡀⢀⢀⡀⡀⢀⢀⣀⢀⠤⠠⠂⣲⠇⠀ ⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠁⠀⠀⢀⣨⡶⠛⠁⢀⣤⣼⡿⠋⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣸⠀⠀⠀⢠⡇⣼⣿⣿⣿⣿⡿⠋⠳⣾⠠⠀⠀⠙⠳⣤⡀⠀⠀⠀⠀⠀⠀⠈⠉⣽⠛⠛⠻⠿⠷⠶⠦⠤⠶⠶⠞⠛⢛⡟⠀⠀ ⠀⠀⠀⢷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠉⠀⠀⣀⣤⠾⠋⠁⠀⠀⡀⣿⡾⠋⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⠂⠀⠀⡟⠀⠀⠀⠀⣰⣿⣿⣿⠟⠋⠀⠀⠀⠈⠻⣦⡀⠀⠀⠈⠙⢶⣄⠀⡀⠀⠀⠀⣠⢿⠐⠀⠀⠀⠀⠀⠀⡐⠀⠀⡀⣀⡾⠁⠀⠀ ⠀⠀⠀⠘⣷⣲⣦⣬⣤⣀⣀⣀⣀⣄⣠⣿⠼⠖⠛⠉⠀⠀⠀⠀⣤⣥⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠻⣿⣿⣿⣿⡿⠀⠀⠀⡇⠀⠀⠀⢠⣿⣿⡿⠃⢀⡴⠃⠀⠀⠀⠀⠈⠻⣦⡁⠄⠀⠀⠈⠛⢦⣄⡀⠀⣀⢺⠴⠀⠀⠀⠠⠀⠐⠀⠀⠀⠑⣽⠃⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣿⣶⣶⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠘⢿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠈⠻⣿⣿⣿⣿⣆⠀⠀⠀⢀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣀⣤⣶⣶⣌⠻⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⠁⣰⣿⣿⣿⣿⣿⣦⣙⢿⣿⣿⣿⠄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣦⣹⣟⣫⣼⣿⣿⣶⣿⣿⣿⣿⣿⣿⣯⡉⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⢻⣿⣿⣿⣿⣿⡇⠀⠀⠈⠉⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣴⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⡇⠀⠸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⢿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣶⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣧⣄⣐⣀⣀⣀⣀⣀⡀ ⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠁⠛⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁
⠀⠀⡔⠉⠑⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⠋⠉⠉⠓⡆⠀⠀ ⠀⣸⠁⠀⠀⠀⠙⢦⡀⢸⡉⠓⠲⣄⡀⢀⡞⠀⠀⠀⠀⣀⣽⡤⠀ ⠀⡇⠀⠀⠀⠀⠀⠀⠙⣦⠷⠄⠀⠀⠙⠞⠀⠀⠀⠀⠀⠒⠚⡏⠁ ⠀⡇⠀⠀⠀⠀⣀⣀⡚⠓⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⠀⡇⠀⠀⠀⡎⠀⠀⠈⡆⠀⠀⠀⠀⠘⢄⣀⣀⡀⠀⠀⠀⣸⠁⠀ ⠀⠈⣇⠀⠐⡶⠖⣲⣶⡆⠀⠀⠀⠀⣶⣶⡒⠲⡒⠀⢀⡼⠁⠀⠀ ⠰⣖⠺⠧⢸⠁⠀⣿⣿⠇⠀⠀⠀⠀⣿⣿⠇⠀⡇⠀⠉⣩⠇⠀⠀ ⠀⠈⣳⠀⣨⢃⠀⠈⠉⠀⠒⠂⠀⠀⠈⠁⢀⠄⡡⠀⢼⡁⠀⠀⠀ ⠀⢰⣃⣈⣀⠁⠀⠀⠀⠦⠔⠓⠲⡲⠃⠀⠀⢈⣀⣀⣀⣹⡄⠀⠀ ⠀⠀⠀⠀⠀⠉⢳⠲⠤⢄⣀⣀⣀⣠⢶⠒⣏⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣳⠒⢲⠋⢱⠤⠧⠚⠋⠘⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠓⡆⠈⠒⠁⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣁⣀⣀⣀⣀⣀⣀⣀⣀⣀⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⠀⠀⠀⠀⠀⠀⣠⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⣿⠀⠀⣤⣶⣷⣶⣿⠁⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⢸⣆⣼⡏⢠⣦⡈⢿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠘⠛⢻⣧⡈⠛⣀⣿⡀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠏⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⡏⠀⠈⣷⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⣀⠀⠀⠀⠀⠀⣀⡤⠶⣿⣿⠿⠤⣤⣴⣿⠀⠀⠀⢀⡀⠀⠀⠄⠀⠀⠀⠀⠀⠀⣀⣴⣶⣿⣷⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣿⠙⠻⣿⣿⣷⣶⣿⠥⡄⠀⠀⠀⠀⠀⠀⠈⠙⢷⡶⠆⠘⠟⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⠟⠉⠀⠈⠙⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⣧⠘⠟⠙⣿⠁⠀⠀⠐⢀⡀⢤⡀⢤⡀⢢⡘⢦⡄⠀⠀⠀⢰⡂⠀⠀⠀⠀⠀⢸⣿⡏⠀⠀⠀⠀⠀⠈⠻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢽⣷⠆⢀⡿⠀⠀⠀⣶⠀⠹⡌⣷⠀⣿⣄⣿⡈⣿⡶⢳⡤⢸⣧⠀⠀⠀⠀⠀⢸⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⣶⡄⠿⠠⣇⢸⡄⣿⡀⠀⢻⣿⡶⢿⣌⣻⣇⣿⣿⢈⡇⢸⣏⠳⣄⠀⠀⠀⠀⢿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⡀⠋⠁⢀⣼⢿⡎⣷⣘⣧⠀⠀⠙⠸⣾⡟⠛⣿⠃⢸⢿⣇⠘⣿⠳⣬⣟⣶⣤⠀⠈⠻⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⠳⣾⣀⣼⠿⣌⣷⣼⣧⣽⡆⠀⠀⠀⠈⠁⠀⢉⣀⡜⣸⡏⠀⣿⡆⠀⠈⠁⠀⠀⠀⠀⠈⠙⢿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⠋⣽⡄⣿⠛⡃⡀⠙⠃⠀⣠⣶⣦⠀⢠⡿⠏⢀⣿⣀⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣴⣾⣄⣿⣧⡹⣆⠀⠸⣧⣀⣀⣈⣛⣃⡴⠟⠁⣠⣿⣿⡏⣰⣿⡀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⣾⠟⢁⠀⠀⠉⢷⡙⣦⡀⠀⠈⠉⠉⠉⠉⠶⠤⠞⢻⣿⣿⣷⣿⣿⡇⠀⠀⣀⣀⣀⠀⠀⠀⠀⣠⣾⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⣇⠀⡏⣰⢂⣀⠠⡟⠺⢇⣰⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠘⢿⣿⣿⣿⣿⣿⣶⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠓⠛⠈⠛⠉⠀⠘⠆⢸⣿⡇⠀⠀⠀⠀⠀⠀⠲⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⡿⣿⣿⣿⣿⣿⣷⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⢀⣠⣾⣿⣿⣄⠀⠀⠀⠀⠀⠀⠘⢻⣿⣿⣿⣿⠏⠀⠀⠛⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⡿⣿⣦⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⡇⠀⡰⠃⠀⠀⠈⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠛⢻⣿⣿⣿⡇⠈⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⣰⡋⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⡀⠀⣼⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠁⠀⠸⠟⠻⠿⠇⠀⠀⠀⠀⢀⡴⠃⢀⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡛⠣⣀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠋⠀⣠⣾⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣷⣦⣭⣀⣀⣀⡀⣸⣃⣀⣠⣴⣶⣶⣿⣿⣿⣿⣯⣀⣀⠀⠀⣠⣾⣷⣤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠌⠉⠉⠁⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣄⠀ ⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡫⠀⠴⠚⡠⠤⠤⠤⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⡿⠿⠿⠿⠿⢿⣿⠿⠿⠿⡿⠟⠛⠀ ⠀⠀⣰⡾⠿⡟⠻⣷⣿⢻⣷⣀⣀⣀⣀⢀⣉⡀⣀⣉⠀⠀⢀⣀⣀⣉⣀⣀⡀⣀⣀⣀⡀⠀⢀⣼⡟⢻⡷⠀⠀⢀⣴⠿⢿⡿⣿⠟⠿⣦⡀ ⠀⠀⣿⣅⠘⠿⣷⣿⡉⠀⣙⣿⣉⣉⠻⣟⠛⣿⡟⢙⣿⠀⣿⠋⢉⠙⢋⠙⢻⣿⣉⡉⠻⣿⠟⠋⠁⢸⡇⠀⣴⡿⢃⣴⡿⣿⡿⠿⢀⣿⠇ ⠀⠀⣸⡿⢷⡦⠈⣿⡇⠈⢿⡟⠉⣥⠀⢹⣆⠘⠀⣾⠇⠀⣿⠀⢸⠂⢸⡇⢸⡟⢉⣅⠀⣇⠀⢿⠇⢸⡇⠀⢻⣧⡈⢿⣶⣿⣷⡶⠈⣿⠀ ⠀⠀⠻⣷⣤⣤⣾⠟⢿⣦⣴⣷⣦⣤⣤⣾⡿⠀⣼⡏⠀⠀⢿⣦⣾⣦⣾⣧⣼⣷⣤⣤⣤⣿⣷⣤⣤⣼⡏⠀⠀⠙⢷⣤⣽⣷⣤⣤⣾⠟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣶⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣉⠀⠀⠀⠀⠀⠀
NAWWWW I THOUGHT YALL WERE OVERREACTING UNTIL I SAW SMUT ON HERE. YALL NEED TO CHILL IM CRYING WGAT THE FUCK 😭✧˚ ༘ ⋆。♡˚
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠠⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡴⠒⠒⠒⠒⠒⠶⠦⠄⢹⣄⠀⠀⠑⠄⣀⡠⠤⠴⠒⠒⠒⠀⠀ ⢇⠀⠀⠀⠀⠀⠀⠐⠋⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀ ⠈⢆⠀⠀⠀⠀⡤⠤⣄⠀⠀⠀⠀⡤⠤⢄⠀⠀⠀⠀⠀⣠⠃⠀ ⠀⡀⠑⢄⡀⡜⠀⡜⠉⡆⠀⠀⠀⡎⠙⡄⠳⡀⢀⣀⣜⠁⠀⠀ ⠀⠹⣍⠑⠀⡇⠀⢣⣰⠁⠀⠀⠀⠱⣠⠃⠀⡇⠁⣠⠞⠀⠀⠀ ⠀⠀⠀⡇⠔⣦⠀⠀⠀⠈⣉⣀⡀⠀⠀⠰⠶⠖⠘⢧⠀⠀⠀⠀ ⠀⠀⠰⠤⠐⠤⣀⡀⠀⠈⠑⣄⡁⠀⡀⣀⠴⠒⠀⠒⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢯⡉⠁⠀⠀⠀⠀⠉⢆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣞⡄⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⣿⠿⣟⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣏⡏⠀⠀⠀⢣⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣟⠧⠤⠤⠔⠋⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⡀⢀⣶⠤⠒⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠈⢿⣆⣠⣤⣤⣤⣤⣴⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⢿⢿⠀⠀⠀⢀⣀⣀⠘⣿⠋⠁⠀⠙⢇⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⢇⡞⠘⣧⠀⢖⡭⠞⢛⡄⠘⣆⠀⠀⠀⠈⢧⠀⠀⠀⠙⢿⣄⠀⠀⠀⠀ ⠀⠀⣠⣿⣛⣥⠤⠤⢿⡄⠀⠀⠈⠉⠀⠀⠹⡄⠀⠀⠀⠈⢧⠀⠀⠀⠈⠻⣦⠀⠀⠀ ⠀⣼⡟⡱⠛⠙⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠹⣧⡀⠀ ⢸⡏⢠⠃⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠸⣷⡀ ⠸⣧⠘⡇⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⣿⠇ ⠀⣿⡄⢳⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠈⠆⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀ ⠀⢹⡇⠘⣇⠀⠀⠀⠀⠀⠀⠰⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⣼⡟⠀⠀ ⠀⢸⡇⠀⢹⡆⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢳⣼⠟⠀⠀⠀ ⠀⠸⣧⣀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⢃⠀⢀⣴⡿⠁⠀⠀⠀⠀ ⠀⠀⠈⠙⢷⣄⢳⡀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⣠⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⢿⣷⣦⣄⣀⣀⣠⣤⠾⠷⣦⣤⣤⡶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠆⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠋⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠐⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⡼⠇⠀⠀⠀⠘⡆⠀⠀⠐⠀⠀⠀⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠓⠢⢼⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⣠⠎⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠈⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⢀⡼⡇⠀⠀⠀⠀⠀⠀⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⢠⠞⠀⢹⡄⠀⠀⠀⠀⠀⠘⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⣰⠁⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⢹⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⢰⠋⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⢸⡁⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⡿⣯⡷⡴⢦⣤⡠⣶⡶⠀⢷⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⡾⠀ ⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⣼⣥⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⠀⠈⢧⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢀⡇⠀ ⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠉⠙⠻⢿⣿⣿⣿⣿⣿⣿⠛⢦⠀⠀⢸⡇⠀⠀⠀⠀⠀⢸⡇⠀ ⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⠳⠀⢳⡀⢹⡇⠀⠀⠀⠀⠀⡾⡇⠀ ⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡿⠘⠀⠀⠹⣼⡇⠀⠀⠀⠀⢠⠇⠀⠀ ⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡿⠁⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⡾⠀⠀⠀ ⠀⠀⢠⡏⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠁⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⢸⠁⠀⠀⠀ ⠀⠀⡾⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⡟⠀⠀⠀⠀ ⠀⣴⠓⣾⣳⣀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠃⠀⠀⠀⠀⠀⠀⢸⡇⢀⠇⠀⠀⠀⠀ ⣾⠃⠀⠀⠀⠑⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠈⡇⢸⠀⠀⠀⠀⠀ ⠹⡀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣾⠀⠀⠀⠀⠀ ⠀⢳⡄⠀⠀⠀⠀⠘⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⣿⠀⠀⠀⠀⠀ ⠀⠀⣷⡄⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⡏⠀⠀⠀⠀⠀ ⠀⢀⡇⢹⣄⠀⠀⠀⠀⣀⠉⠓⠶⢄⡀⠀⠀⠀⠀⠀⢀⣠⠴⠋⠣⣄⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⣸⣧⠀⠀⠀⠀⠀ ⠀⣴⣿⠋⠘⣆⠀⢰⠶⠤⢍⣛⣶⠤⠿⣷⣦⡀⠒⠚⡟⠀⠀⠀⠀⠈⠛⠢⠤⡄⠀⠀⢀⡴⢯⠴⣳⠇⠀⠀⠀⠀⠀ ⠀⠀⠉⠀⠀⠘⢦⡈⠻⣖⠤⣤⣉⣉⣹⣯⣭⠉⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠛⣫⣼⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠑⣄⠉⢦⡀⠀⠀⠈⠉⠁⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢿⣷⢚⡝⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢶⣷⠇⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠷⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⢸⡇⠈⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⢀⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⣾⡇⠀⢿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⢀⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣤⣶⣶⣶⠶⠶⠶⠶⠶⠶⠶⢶⣶⣶⣤⣤⣤⣤⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⣿⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣶⠾⠿⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠳⡝⣷⡀⠉⠉⠉⠉⠛⠛⠛⠿⠶⢶⣦⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⣿⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⢿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠃⠀⢿⡌⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠻⣿⣶⣶⣤⣄⡀⠈⣿⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠇⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⠿⠛⠉⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⢸⡇⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡟⠻⢷⣾⣷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⣠⣴⡿⠟⠉⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡿⠋⠀⠀⠀⠀⢸⡇⠀⣸⡿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀⠀⠈⣿⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡦⢿⡄⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠁⠀⠀⣀⣴⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡾⠛⣧⠀⠀⠀⠀⠀⠀⣾⢁⣴⠟⠀⠈⠻⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⠁⠀⠀⠀⣿⡅⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⣼⠇⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⢀⣰⣾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⠀⠀⠀⠀⠀⠲⠶⠶⠞⠛⠋⠁⠀⠀⢹⣦⣤⣤⣤⣤⡾⠿⠛⠹⣦⠀⠀⠀⠀⠈⠙⠳⠦⣤⣤⠀⠀⠀⠀⣿⣿⣿⣿⡿⠀⠀⠀⠀⢸⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠇⠀⠀⠀⠀⣿⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣸⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣄⣀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⡟⠀⠀⠀⠀⠀⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠁⠀⠀⠀⠀⣸⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⣿⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣀⣿⣿⣿⣿⠃⠀⠀⠀⠀⢀⣿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡆⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⣼⡏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⢰⡏⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠟⠙⠻⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠿⠿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⢠⡟⠈⠉⠉⠉⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⣤⣤⣼⡏⠀⠀⠀⠀⠙⠻⠿⣶⣤⣤⣤⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⣿⠀⠀⠀⠀⠀⠀⣀⠀⠀⢠⡿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠃⠀⠀⠀⠀⠀ ⠂⠀⠀⠈⠉⠉⠉⠉⠉⠈⠉⠁⠀⠀⠀⣀⣤⣾⣯⣭⣵⣶⣤⣄⠀⠙⢿⣆⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⣽⠏⠀⢿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⣀⣺⣿⡽⠿⠶⠶⣾⠃⠀⠀⠀⠀⠉⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣋⣥⣤⣤⣤⣤⠀⠀⠀⠀⠀⠀⠙⢷⣦⣀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠀⠀⢸⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣤⡾⠛⠉⠀⣄⠀⠀⣠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡾⠟⠉⠉⠀⠀⠀⣠⣤⡤⠀⠀⠀⠀⠀⠀⠈⠛⠷⣦⣤⣀⣀⣀⣼⠟⠀⠀⠀⠀⢻⣿⡿⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡏⠻⢶⣤⣀⣴⣟⣤⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣰⣾⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⣤⣤⣤⡶⣶⡿⠋⠁⠀⠀⣀⣀⣀⡀⠀⠀⠀⣀⣠⡿⠋⠉⠉⠁⠀⠀⠀⠀⠀⠈⣿⡄⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠁⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠏⣿⢸⣯⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⢸⡏⠀⢀⣤⣶⠿⠛⠙⠛⠛⠛⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣠⣿⢻⣿⣷⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⡹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡏⠁⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⣻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⠇⣇⣲⣾⣿⡄⡄⣮⣽⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠏⠀⠘⢿⠉⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⠁⠀⠀⠀⡋⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠋⠀⠀⠀⣏⣷⡵⢻⣀⡀⠀⣀⠀⣀⣀⣠⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠋⠀⠀⠀⠀⠀⣿⡌⠁⠀⣆⣹⡦⠍⠵⠮⢿⠶⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⢟⠁⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠘⠛⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⢹⡇⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡇⣸⣧⣾⣽⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡾⢋⢯⣷⣣⡿⡷⠶⣦⣌⠙⠻⠤⣤⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⠀⣨⢟⣛⡟⣴⠀⣆⠈⢩⢻⣭⣵⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡾⣫⠟⣻⢿⣵⣶⣶⣷⡿⡄⠘⣦⡈⢯⢧⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⠂⡅⠀⠈⠈⠁⠉⠙⠹⣼⣿⢧⢸⡌⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣏⣷⡀⠙⣷⣀⠀⠈⢿⣿⣿⣸⣸⠏⠓⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣦⡘⣏⠛⣷⣦⡽⠛⠛⠟⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣉⣉⣙⣺⡶⠟⠁⠀⠀⠀⠀⢸⡇⠀⠀⠀⣠⠖⠋⠙⡦⣤⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠴⣛⠁⡴⠚⠁⠐⡄⠀⠀⠀⠀⠀⢸⠇⠀⣠⡾⠋⠛⣄⣠⠏⠁⠀⠀⡀⠀⠀ ⠀⠀⠀⣀⣀⣼⡏⠉⠀⢠⠆⠈⡅⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀⣼⢀⣼⠋⠀⠀⠀⠀⠰⣶⣓⠲⣼⢳⣀⠀ ⠀⣰⠛⠁⠉⠻⣄⠀⢠⠏⠀⠰⠃⠀⠀⠀⢠⣤⢿⡀⠀⠀⠀⣇⡾⠁⠀⠀⠀⠀⠀⠀⠀⢹⠀⢌⠈⢿⠀ ⡼⠁⠀⠀⠀⠀⠈⢧⡏⠀⠀⠀⠗⠀⠀⠘⠉⠀⠀⣇⠀⠀⠀⣿⠁⠀⠀⠀⣀⣀⣀⠀⠀⣼⠀⠀⡇⠘⡆ ⢹⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⢰⠀⣆⠀⠀⢀⡆⣼⡄⠀⣸⢽⣀⡴⠞⠋⠉⠀⠈⠉⠛⠓⠋⠀⣧⢀⣇ ⢸⠀⠀⠀⠀⠀⠀⠸⡄⠘⣆⠀⢸⠀⠈⠀⠀⠘⠼⡿⠀⢈⡟⢾⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡾⠼⠛ ⣿⠀⠀⠀⠀⠀⠀⠀⢳⠀⠘⡆⠀⠀⡀⠀⠀⠀⠲⣇⠀⣸⣇⡈⢧⠀⠀⠀⠀⠀⣀⣤⠶⠚⠉⠀⠀⠀⠀ ⡿⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⢹⠀⠀⢧⠀⠀⠀⠀⢘⣾⡿⣯⡇⠸⡄⠀⣠⠴⠚⠉⠀⠀⠀⠀⠀⡴⠂⢢ ⡇⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠈⣇⠀⠀⠙⢦⡀⠀⡞⢸⡟⣽⠀⣠⡿⡟⠁⠀⠀⠀⠀⠀⠀⢀⡞⠃⠀⢲ ⡇⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⢀⡼⣆⠀⠀⠀⠹⡄⡇⠀⢣⡟⡏⠁⡇⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⡼⠁⠀⢀⣠⠞⢹⢳⡀⠀⠀⢙⡇⠀⢸⣷⠇⠘⣿⡀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀ ⠇⠀⠀⠀⠀⠀⡼⢁⣠⠴⠋⠀⠀⢸⠀⠹⢦⡀⡏⠻⠀⠘⠻⢦⠀⢧⢇⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡼⠛⠉⠀⠀⠀⠀⠀⠘⠀⠀⠀⢳⣧⣀⣀⣀⣀⡼⠀⠘⢞⠂⠀⠀⠀⢀⣠⠟⢹⡄⠀⠀⠀ ⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠈⢉⡆⠀⠀⠈⠳⣷⣤⠴⠛⠁⠀⠀⢷⡀⠀⠀ ⠀⠀⠀⠀⢨⢿⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠂⢠⡴⠋⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⢸⢧⠀⠀ ⠀⠀⣠⠶⢋⡞⠀⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀⣠⢟⡒⠯⡀⠀⠀⠀⣠⠞⠻⢦⡀⠀⠀⠀⠀⢰⠋⡼⠀⠀ ⠀⠀⠃⣴⣛⣒⡛⠛⠋⠉⠳⢦⣄⣀⣀⣤⡾⣏⣯⠙⢻⣿⡖⠒⠛⠓⠚⠋⠛⠃⠀⠀⠀⠀⠘⢦⡘⢦⠀ ⠀⠀⢰⠋⢻⠏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠻⢽⠀⢸⠋⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣄⠀ ⡀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠛⠙⠦⡈⠀⢸⣆⡷⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣄ ⠻⣦⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠉⢠⠸⠋⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡟ ⣠⠾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⣀⠀⠀⠀⢨⠆⠀⢀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠛⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠛⢠⡀⠸⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⡁⢰⣋⡇⠀⡿⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⣏⠉⠛⠳⢤⣟⠀⢧⠀⠀⣀⣤⣠⣤⣄⣀⠀⠀⢷⠀⠀⠈⠙⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡔⠃⣀⠘⢆⣀⠀⠀⠉⠀⠘⠚⠉⠀⠀⢀⡀⠀⢸⠇⣀⢸⡀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠙⡾⠟⣷⠂⠉⠀⠀⠀⠀⠀⠀⠀⢶⢚⣹⠃⢠⡏⠀⡏⠹⠃⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣼⠇⣰⠀⠀⠀⠠⠶⠳⣦⠀⠀⠀⠘⠲⠃⢠⠟⠁⠀⡏⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⡟⠷⠟⠁⠀⠀⣴⡆⠀⢸⡇⠀⠀⢠⣄⡴⠏⠀⡀⢰⠇⠀⠀⠀⠀⠀⠀⢠⡾⠚⠋⠉⠉⢳⡀⠀⠀⠀⠀⠀ ⠀⢹⡌⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢧⡐⠶⠄⠀⠀⠻⣃⡀⠸⡷⠀⠀⠀⠹⣆⠀⢀⡿⡏⠀⠀⠀⠀⠀⠀⣠⡾⠀⠀⠀⢀⡴⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⢷⠀⠀⠻⣷⣄⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠙⠦⣤⣀⡀⠀⠘⠿⠇⠀⣤⠴⣶⣞⣁⣠⣾⡀⠀⠀⣤⣠⣴⠶⢾⣁⣧⠀⠀⠀⠈⢧⡤⠖⠚⠦⣄⡀⠀ ⠀⠀⠘⡇⠀⠀⠈⠻⣷⡀⠀⠀⣠⢾⡉⢉⡍⠙⠳⣶⢟⣯⣭⠿⠷⣤⡀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠚⠻⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠙⣦ ⠀⠀⠀⢹⡀⠀⠀⠀⢿⣧⠀⠀⢧⣸⡀⠘⣇⣴⠀⠀⢘⠛⠛⠀⣰⠊⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣤⣄⣄⡓⣶⠏ ⠀⠀⠀⠀⣧⠀⠀⠀⠈⣿⣆⣠⣤⣭⡭⠿⣹⣿⡋⠉⠛⠓⠒⠴⠃⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣇⠈⠙⠛⠁⠀ ⠀⠀⠀⠀⠈⠳⣄⠀⠀⠸⣿⠉⠀⠈⢻⠞⠙⡾⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣀⣀⣀⣀⣀⣀⣀⣬⠷⠶⠤⢤⣤⣄⣀⣀⣤⣄⡀⣰⠤⢽⠆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⢿⣧⠀⠀⠘⠷⠾⠷⣼⣅⣀⣀⠀⠀⠀⠀⠀⠀⠸⡅⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡈⡿⣄⣀⣀⣀⣀⣀⣈⣳⣍⠉⠉⠛⢿⡛⢦⡼⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠻⠶⠿⠿⠷⠷⠿⠿⠾⠶⠶⠶⠶⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣿⣶⣶⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠘⢿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠈⠻⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣀⣤⣶⣶⣌⠻⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⠁⣰⣿⣿⣿⣿⣿⣦⡙⢿⣿⣿⣿⠄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣦⣙⣛⣋⣼⣿⣿⣶⣿⣿⣿⣿⣿⣿⣯⡉⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡆⠀⣿⣿⣿⣿⣿⣿⣿⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⢻⣿⣿⣿⣿⣿⠻⣮⡆⠈⠋⠏⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣴⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⡇⠀⠸⣿⣿⣿⣿⣿⠀⠈⣿⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣶⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣧⣄⣀⣀⣀⣀⣀⣀⡀ ⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠁⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁

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Warning: This item may contain sensitive themes such as nudity.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣤⣤⣶⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠛⠉⠙⠛⠛⠛⠛⠻⢿⣿⣷⣤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠋⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠈⢻⣿⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⣿⡏⠀⠀⠀⣠⣶⣾⣿⣿⣿⠿⠿⠿⢿⣿⣿⣿⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠁⠀⠀⢰⣿⣿⣯⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣷⡄⠀ ⠀⠀⣀⣤⣴⣶⣶⣿⡟⠀⠀⠀⢸⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⠀ ⠀⢰⣿⡟⠋⠉⣹⣿⡇⠀⠀⠀⠘⣿⣿⣿⣿⣷⣦⣤⣤⣤⣶⣶⣶⣶⣿⣿⣿⠀ ⠀⢸⣿⡇⠀⠀⣿⣿⡇⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀ ⠀⣸⣿⡇⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠉⠻⠿⣿⣿⣿⣿⡿⠿⠿⠛⢻⣿⡇⠀⠀ ⠀⣿⣿⠁⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⠀⠀ ⠀⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀ ⠀⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀ ⠀⢿⣿⡆⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀ ⠀⠸⣿⣧⡀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠃⠀⠀ ⠀⠀⠛⢿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⣰⣿⣿⣷⣶⣶⣶⣶⠶⠀⢠⣿⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⣿⣿⡇⠀⣽⣿⡏⠁⠀⠀⢸⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⣿⣿⡇⠀⢹⣿⡆⠀⠀⠀⣸⣿⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⣿⣦⣄⣀⣠⣴⣿⣿⠁⠀⠈⠻⣿⣿⣿⣿⡿⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠿⠿⠿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⡿⠗⠀⠠⠄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⡜⠁⠀⠀⠀⠀⠀⠈⠑⢶⣶⡄ ⢀⣶⣦⣸⠀⢼⣟⡇⠀⠀⢀⣀⠀⠘⡿⠃ ⠀⢿⣿⣿⣄⠒⠀⠠⢶⡂⢫⣿⢇⢀⠃⠀ ⠀⠈⠻⣿⣿⣿⣶⣤⣀⣀⣀⣂⡠⠊⠀⠀ ⠀⠀⠀⠃⠀⠀⠉⠙⠛⠿⣿⣿⣧⠀⠀⠀ ⠀⠀⠘⡀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡇⠀⠀ ⠀⠀⠀⣷⣄⡀⠀⠀⠀⢀⣴⡟⠿⠃⠀⠀ ⠀⠀⠀⢻⣿⣿⠉⠉⢹⣿⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠁⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢰⣠⣿⣿⣿⣿⣿⡟⢛⣿⣿⣿⣏⡀⠀⢠⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡼⠾⣿⣿⣿⣿⣿⡏⠍⠛⣿⣿⣿⣾⣄⠔⡀⠀⠀⠀⠀ ⠀⠀⠀⢠⡏⡄⠃⣿⠉⠁⠛⠛⠁⠈⠘⢩⣿⣿⣿⠃⣤⠀⠀⠀⡄⠀ ⠀⠀⠀⢰⢎⡵⣻⢿⣆⠁⠈⠀⠀⠠⠁⢂⣾⣿⣳⡜⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⣟⢎⣿⣿⢯⣿⢧⣀⠀⠀⠐⣀⣿⣟⣾⣽⠦⡁⠀⣰⣦⠀⠀ ⡐⢀⣸⢭⣾⣿⠹⣿⡾⣟⠿⠗⢢⠈⠹⠛⠾⠽⢞⡣⠅⠀⣽⢾⣆⠄ ⡿⣯⡷⢻⣾⠍⡀⣿⣓⠨⡐⠈⠀⠉⠁⠘⠁⠀⢸⣧⠻⢀⣿⣻⣮⠇ ⣿⣿⣜⠣⠎⢿⣿⣷⡍⣆⠠⢀⠐⡈⢀⠀⠠⠐⣸⣷⠃⢠⡿⣽⣯⡇ ⣿⣿⣿⣷⠈⡀⢿⣿⡾⣰⠇⡆⠰⢀⠈⠆⡁⢆⣿⡏⢁⠀⣹⣏⣿⣷ ⣿⣿⣿⣟⠠⠐⠈⣿⡚⡵⢪⠔⣡⢊⡐⢌⠰⡈⣾⣁⣂⠄⣻⣏⣿⣿ ⣿⣿⣿⣿⣷⣛⡜⣯⠱⣍⢇⡚⣰⠆⡰⠈⢄⡑⣿⣼⡘⣾⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣛⣣⡛⡜⣦⠱⣘⠥⢂⣑⠢⡤⢚⢣⢻⣿⣿⣿⣿⣿ ⠟⠻⡟⢟⣛⣿⡳⣆⣌⠈⡜⠣⢝⠎⠣⢐⣡⡔⡡⢎⠜⣿⣿⣿⣿⣿ ⠀⠁⠀⢼⣿⢣⠟⣶⣹⡿⣷⣧⣤⣼⣶⡿⣏⡼⡱⢎⠲⣿⣿⣿⣿⣿ ⠀⠀⠀⢻⣇⢟⡸⣀⢇⡻⣿⣻⣟⡿⣼⢿⡸⢇⠣⠘⠠⣸⣿⣿⣿⣿ ⠀⠀⠀⢾⡹⣎⠴⣡⢚⡔⣣⠻⣾⢿⡝⣮⠳⡌⠠⢁⠎⡹⣿⣿⣿⣿ ⠀⠀⠀⣳⢟⡬⠳⣄⢫⠜⣆⠻⣼⢯⣻⠵⣋⠄⡁⢎⡜⠄⢻⣿⣿⣿

Warning: This item may contain sensitive themes such as nudity.

⠀⢀⠀⢀⣀⣠⣤⣤⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣠⣤⣤⣤⣤⣀⠲⢦⣄⡀⠀⠀ ⡶⢟⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠰⣷⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣬⡛⢷⣔ ⣾⡿⠟⠋⠉⠁⠀⡀⠀⠀⠀⠀⠈⠉⠉⠙⠛⢻⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠈⠙⢛⣛⣛⣛⣛⣉⢉⣉⡀⠀⠀⠀⠀⠀⠈⠉⠛⢿⣷⣝ ⠃⠀⠀⠀⠀⠀⠀⣛⣛⣛⣛⣛⣛⢛⡛⠛⠛⠛⣰⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣌⠛⠛⢛⣛⣛⣛⣛⣛⣛⣛⣓⣀⠀⠀⠀⠀⠀⠈⢻ ⠀⠀⠀⢀⣤⡾⠛⢻⣿⣿⣿⡿⣿⡟⢻⣿⠳⠆⠘⣿⣦⠀⠀⠀⠀⠀⠀⠀⣰⣿⠁⠐⠛⣿⡟⢻⣿⣿⣿⣿⢿⣟⠛⠻⣦⣀⠀⠀⠀⠀ ⠀⠀⢴⠿⣧⣄⣀⣘⣿⣿⣿⣿⣿⡿⣀⡙⢷⠀⢀⡿⠁⠀⠀⠀⠀⠀⠀⠀⠈⢻⡖⠀⣾⣋⣀⣺⣿⣿⣿⣿⣿⣏⣀⣤⣴⠿⢷⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠙⠉⠉⠉⠉⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠆⠀⠀⢀⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⠟⠁⠀⠀⠀⣾⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣤⣤⣴⣶⣾⠿⠛⠋⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠛⠛⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠀⠀⠀⠀⠀⠀⠀
🟦🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🟦 🌸🌸🌸🌸🌸🌸🌸☁️🌸🌸🌸🌸🌸🌸🌸 🌸🌸🌸☁️☁️🪵🌸☁️🪵☁️🌸🌸🌸🌸🪵 🌸🌸☁️🌸🪵☁️☁️🌸🪵🌸☁️☁️🌸🌸🪵 🌸🪵🪵🌸🪵🌸🌸☁️🪵🌸🌸🌸🌸🪵🌸 ☁️🌸🪵🌸🪵☁️☁️🪵🌸☁️🌸🪵🪵🌸🌸 🌸🌸🪵🪵🪵☁️🌸🪵🌸☁️🌸🪵🌸🌸🌸 🌸🌸🌸🌸🪵🌸🌸🪵🌸🪵🪵🌸🌸🌸🪵 🌸☁️🌸🌸🪵🪵🪵🪵🪵🪵🌸🌸🌸🪵🪵 🌸🌸🪵☁️🌸🌸🪵🪵🪵🪵🪵🪵🪵🌸🌸 🟦🌸🌸🪵🪵🪵🪵🪵🪵🪵🌸🌸🟦🟦🟦 🟦🟦🟦🌸🌸🌸🪵🪵🪵🪵🟦☁️🟦☁️☁️ 🟦☁️🟦🟦🟦🟦🪵🪵🪵🪵🟦🟦🟦🟦🟦 🟦🟦🟦🟦🟦☁️🪵🪵🪵🪵🟦☁️🟦🟦🟦 ☁️🟦☁️🟦🟦🟦🪵🪵🪵🪵🟦🟦🟦☁️🟦

Warning: This item may contain sensitive themes such as nudity.

⛱️ 🏖️ 🏝️ 🏄🌴👙🩱🩳🍹🌞🐚🤿🌅⛵🐬🐠🐟🐳🐋🌊
Venus planet of love was destroied by global warming ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣴⣶⣾⣿⢿⠿⠿⠿⠿⠿⡿⠿⣿⣶⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⠿⠛⠉⠉⢀⣠⣾⡆⠀⠀⠀⠀⣿⣦⠀⠈⠉⠙⠻⢿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⡿⠟⠉⠀⠀⠀⠀⣶⠿⠟⠉⠀⠀⠀⠀⠀⠙⢿⣿⠀⠀⠀⠀⠀⠈⠻⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣷⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⣿⡿⠉⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣦⣤⣄⡀⠀⠀⠀⠀⠙⣿⣿⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⣿⠟⠀⠀⠀⠀⣠⣶⣿⣿⠿⠛⠛⣿⣿⣷⡀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠈⢿⣿⣆⠀⠀⠀⠀ ⠀⠀⠀⢰⣿⡏⠀⠀⠀⣠⣾⣿⣿⣿⣿⣂⣤⡼⠿⢿⣿⣷⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠋⠉⢻⣿⣿⣷⣄⠀⠈⢿⣿⡄⠀⠀⠀ ⠀⠀⠀⣿⡿⠀⠀⠀⣰⣿⣿⠟⠛⠛⠛⠛⠁⠀⠀⠀⢸⣿⠀⠀⢸⣿⣿⣿⠁⠀⠈⠹⣿⣤⣦⣸⣿⣿⡟⣿⣦⠀⠘⣿⣷⠀⠀⠀ ⠀⠀⢸⣿⠇⠀⠀⢰⣿⠙⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠀⠀⣿⣿⣿⣷⠀⠀⠀⠀⠉⠉⠁⠈⢹⣿⡇⠈⢿⣇⠀⢹⣿⡄⠀⠀ ⠀⠀⢸⣿⠀⠀⠀⣼⡇⠀⣿⣦⣀⠀⠀⠀⠀⠀⢀⣼⣿⣿⠀⠀⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠘⣿⠀⠘⣿⡇⠀⠀ ⠀⠀⢸⣿⠀⠀⠸⣿⡇⠀⠘⢿⣿⣟⠛⢳⣶⣾⣿⣿⣿⡏⠀⠀⢻⣿⣿⠿⠻⣷⡄⠀⠀⣀⣠⣴⣿⠟⠀⠀⢀⣿⠀⠀⣿⡇⠀⠀ ⠀⠀⢸⣿⡀⠀⠀⢹⣿⡀⠀⠀⠉⠛⠿⠿⠿⠿⢟⣿⣿⠁⠀⠀⠘⣿⣿⣷⣦⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⣠⣾⡿⠀⢀⣿⡇⠀⠀ ⠀⠀⠈⣿⣇⠀⠀⠈⢿⣿⣤⣄⣀⣀⣀⣀⣠⣶⣿⠟⠁⠀⠀⠀⠀⠈⠻⣿⣦⣍⣉⠉⠉⠀⢀⣀⣠⣴⣾⣿⠟⠁⠀⣸⣿⠃⠀⠀ ⠀⠀⠀⢻⣿⡄⠀⠀⣰⣾⣿⣿⣿⡛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠻⠛⢻⣿⣿⣯⣭⡀⠀⠀⢠⣿⡟⠀⠀⠀ ⠀⠀⠀⠀⢿⣿⣄⣰⣿⡟⠉⠻⣿⣷⠀⠀⠀⠀⠀⠀⣀⣠⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿⠋⠙⢿⣿⣧⣤⣿⡿⠁⠀⠀⠀ ⠀⠀⠀⠀⢀⣿⣿⡿⠋⠀⠀⢀⣿⡟⠀⠀⠀⠀⠀⠸⠿⠛⠻⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⠀⠀⠀⠙⢿⣿⣿⠁⠀⠀⠀⠀ ⠀⠀⣠⣾⣿⠟⠋⠀⠀⠀⣠⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣷⣄⠀⠀⠀⠹⣿⣷⣄⠀⠀⠀ ⢀⣾⣿⠟⠁⠀⠀⠀⣶⣴⣿⣿⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣠⣤⣤⣤⣤⣼⣿⡿⠀⠀⠀⠀⠈⠻⣿⣷⡀⠀ ⣼⣿⠃⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⠿⣷⣶⣶⣦⣶⣶⡿⠿⠿⠟⠛⠛⠛⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠘⣿⣷⠀ ⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇ ⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣶⣦⣤⣤⣀⣀⣀⣼⣿⣿⣦⣤⣠⣤⣤⣤⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇ ⣿⣿⡀⠀⠀⠀⠀⠀⠀⢀⣤⣄⡀⠉⢻⣿⡏⠉⠙⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⢻⣿⣶⣦⣤⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇ ⠘⣿⣿⣆⠀⠀⠀⠀⠀⠈⠛⠛⠿⠿⢶⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣦⡀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡏ ⠀⠈⠻⣿⣷⣄⡀⠀⠀⢿⣶⣤⣄⣀⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣷⣶⣤⣶⣆⠀⠀⠀⠀⢀⣠⣶⣿⡿⠋⠀ ⠀⠀⠀⠈⠙⠿⢿⣷⣶⣤⣽⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣯⣤⣤⣤⣶⣿⡿⠟⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀

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

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⠞⠛⠲⣦⣤⠤⠤⢴⠏⣦⣈⣷⣚⠉⠻⡄⠀⠀ ⠀⠀⠀⣿⣀⠀⠈⠁⠀⠀⠀⢾⡀⢻⡿⠉⠉⣷⡞⠻⣦⠀ ⠀⠀⢀⡿⠁⠀⠀⠀⠀⠀⠀⠈⠛⠛⠷⣤⣴⠿⠿⣠⡟⠀ ⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢦⡶⢻⡄⠀ ⠠⠤⡧⠤⠄⢠⣤⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⠀⠋⢹⡏⠁ ⠀⢀⣿⡤⠄⠘⠿⠁⠀⠠⣞⣻⠄⠀⠀⠻⠏⢀⡈⣽⠛⠃ ⠀⠀⢈⡷⣶⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠿⠛⠂⠀ ⠀⠀⠀⠀⠀⠉⠙⠛⠛⠓⠒⠒⠒⠚⠛⠛⠉⠁⠀⠀⠀⠀
If you are here to make/look at porn, don't let others tell you it's bad, they just wish they have a girl like the one you are looking at.
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠔⠒⢢⡀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠁⠀⠀⠀⠈⠳⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠊⠀⠀⠀⠀⢨⡹⣷⣶⣤⡉⠢⡀⠀⠀⠀⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⢱⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⣀⣀⣠⣤⣴⣾⣷⣽⣿⣷⣷⣶⣜⢦⠀⠀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠤⠔⠃⠉⠉⠁⣀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣾⣟⣦⣣⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣶⣶⣶⣶⣶⣿⣿⣿⣿⠿⠟⠿⠿⠛⠿⠻⣿⣿⣿⣿⣧⢰⠃⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞ ⢠⠖⠉⠑⠒⠠⠤⢼⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⢻⢛⡿⠉⠉⠛⠛⡿⣿⢿⣿⣿⣿⣿⣯⡟⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⢸⡀⠀⠀⠀⢦⠀⠸⣿⣿⣿⣿⣿⣿⣿⢫⠏⣠⣾⡏⠀⢀⣀⣀⡴⠾⠇⣸⣿⡗⣿⣿⢟⠃⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇ ⢸⠁⠀⠀⠀⠀⠳⡄⢻⣿⣿⣿⣿⣿⣿⣿⣧⣜⣾⣴⣾⣿⣿⡏⠀⠀⠀⢯⣤⡞⣹⡇⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠈⢇⠀⠀⠀⠀⠀⠈⠢⣙⠻⠿⢿⠟⢧⣷⣾⣿⣿⣿⣿⣿⣛⣧⠀⠀⠀⣼⠋⠀⣿⠡⡆⣀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⠘⡆⠀⠀⠀⠀⠀⠀⣼⣷⣤⣼⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⠁⠀⠀⣿⠀⠻⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀ ⠀⠀⠸⡀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⢹⠀⠠⣬⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀ ⠀⠀⠀⠱⡀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣇⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠈⣇⡔⠉⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⣸⣷⠀ ⠀⠀⠀⠀⠑⡄⠀⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⢻⠀⠀⣿⣿⣿⣿⣄⠀⠀⠀⠀⢀⣿⣿⡀ ⠀⠀⠀⠀⠀⠈⢦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⢀⣿⣿⣿⣿⣿⣧⠀⠀⠀⢸⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⣿⣿⣿⠇ ⠀⠀⠀⠀⠀⠀⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣟⣽⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠛⠛⠛⠋⠛⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠉⠉⠙⠛⠛⠻⢿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢻⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⠃⠀⢿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠙⠻⣷⣄⣸⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢸⣿⣿⡇⢀⠤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⠙⠁⠀⢠⢾⡏⣹⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣟⣿⣟⡏⠀⢀⣴⣿⣾⡿⣟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢟⣾⠋⣸⣿⡇⠀⣼⣿⣿⣿⠃⡏⠀⠀⠀⠀⠀⠀

Warning: This item may contain sensitive themes such as nudity.

⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡠⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⢉⡗⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠈⡱⠖⠀⠀⠀⠀⠀⠀⠀⠀⣄⣠⠆⠀ ⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠰⠓⠒⢴⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⢨⠀⣰⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⢹⡀⠀⠀⠀⠈⠀ ⠀⠀⠀⠀⢠⣀⣶⠀⠀⠀⠀⠀⠀⠀⠀⢤⢀⣀⣀⣀⡠⠋⠀⠀⢇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⣄⠊⠁⠀⠀⠀⠀⠀⢀⡨⢦⠀⠀⠀⠀⠀⠀⠀⠘⠒⠤⣀⡀⠀ ⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⡀⠔⠊⠁⢀⡀⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠼⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⠔⠈⡀⠄⠂⠉⢀⡀⢰⠁⠀⠀⠀⠀⠀⠀⡴⠊⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⢊⠠⠒⣁⠤⠐⣀⡁⠤⢤⠃⢀⣀⡠⢄⡀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⡪⢐⡡⢐⠩⠐⠊⠁⠀⠀⠀⠚⠉⠉⠀⠀⠀⠙⠢⣀⡇⠀⠀⠀⠀ ⠀⠀⢠⡪⡪⡲⠕⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠈⠃⠀⠀⠀⠀ ⠀⣰⣿⠞⠉⠀⠀⠀⠀⠀⡄⡰⡆⠀⠀⠀⠀⠀⠀⢐⣌⡶⠀⠀⠀⠀⠀⠀⠀⠀ ⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⣸⠤⡐⠁⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀
👙💧⊹˚. ♡
⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠈⠈⠉⠉⠈⠈⠈⠉⠉⠉⠉⠉⠉⠉⠉⠙⠻⣄⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⣄⠀⠀⢀⠀⢀⣀⣤⠄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣉⣩⣤⠴⠶⠶⠒⠛⠛⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠤⠶⠒⠚⠋⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⡍⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣫⣭⣷⠶⢶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠶⠶⠖⠚⠛⠛⣹⠏⠀⠀⠀⠀⠀⠀⠀⠀⠴⠛⠛⠉⡁⠀⠀⠙⠻⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡷⠷⢿⣦⣤⣈⡙⢿⣿⢆⣴⣤⡄⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣤⡀⣸⡄⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣟⣩⣤⣴⣤⣌⣿⣿⣿⣦⣹⣿⢁⣿⣿⣄⣀⡀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣿⠋⠻⢿⡁⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠿⠛⢦⣽⣿⣿⢻⣿⣿⣿⣿⠋⠁⠘⣿⣿⣿⣿⣿⣿⣼⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⠁⠀⠀⠙⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠿⣿⣯⣼⣿⡿⠟⠃⠀⠀⠀⣿⣿⣿⣿⣿⡛⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣧⣴⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣺⠟⠃⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⢁⣀⣀⣀⣀⣀⣠⣀⣀⢀⢀⢀ ⠀⠀⢿⠿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠙⠛⠛⠙⢻⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡇⠀⠘⠃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡟⢿⣿⣆⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⡼⠁⢀⣀⡀⠀⠀⠀⣦⣄⠀⣠⡄⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⣬⢻⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⣰⣿⡿⠿⠦⢤⣴⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠒⣿⣿⣿⡿⠟⠹⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡖⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⣾⣿⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣆⣀⣀⣤⣴⣶⣶⣾⣿⣷⣦⣴⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡇⣿⣿⡛⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢾⡟⠛⠛⠻⠛⠛⠛⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠓⢁⣬⣿⠇⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⢰⡿⣻⠇⠀⠀⠀⠀⠀⣠⣶⣶⣶⣶⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢐⣯⠞⠁⠀⠀⠀⠀⠀⠀⣄⠱⣄⠀⠀⠀⠀⠸⡧⠟⠆⠀⠀⠀⠀⠘⠿⢿⠿⠿⣿⡿⣿⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡈⠂⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢠⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⡄⠀⠀⠑⠄⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣦⣦⣼⡏⠳⣜⢿⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⢠⣷⣦⣤⣀⣀⣀⣴⣿⣿⣿⣿⣿⡿⠻⠆⠸⣎⣧⠀⠈⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣠⡄⠀⣿⢹⡇⢸⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⣿⣿⣿⣿⣿⠏⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⡿⢁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠉⠉⠀⠈⠉⠉⠉⠉⠙⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⢡⣴⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢋⣠⣶⣿⣿⡟⡛⣛⣿⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿ ⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠘⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠛⠁⠀⢛⡠⠀⠀⠀⢀⠈⢿⣿⣿⣿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿ ⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢁⣤⣶⣿⣿⣿⣿⣿⣿⣥⡄⠀⠙⠂⠀⠀⢻⡟⢉⣺⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⣈⠉⠛⠛⠛⠛⠟⠁⣿⣿⢶⣶⣦⣄⣀⣈⣿⣿⣬⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠭⣿⣿⣷⣤⣤⣶⣤⡿⠻⢷⣦⣤⣉⣻⣿⣶⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⢿ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠰⣶⣶⣄⡀⠉⠻⢿⣿⣿⣭⡅⠀⠐⠛⠉⠉⠉⠁⠀⠈⠙⠂⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⢋⣼ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⡉⠉⠉⠙⠓⠶⠾⢿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣈⣤⣤⡦⠈⠀⢀⣠⡴⡴⠋⣠⣿⣿ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠂⠄⠀⠀⠀⠀⠀⠙⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⣠⣴⣿⡿⢋⠔⣡⣾⣿⣿⣿ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⢋⠔⣡⣾⣿⣿⣿⣿⣿ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣿⣿⣿⣿⡐⠆⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⣠⣄⠀⣿⠏⠀⢁⣾⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠿⠛⠻⠋⢀⣼⠋⢠⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠓⠸⠧⢼⡿⠀⠋⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡿⠟⢁⣴⠀⣠⣴⣶⡿⠃⠀⣿⣿⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣶⣿⣷⣄⠻⢿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢸⣿⣿⣿⣟⡿⠟⠋⣀⣴⣿⠏⢸⣿⣿⡏⠀⣠⣾⣿⣿⣿⣿⣿⣶⣦⣤⣤⠀⠀⣀⣴⣾⣿⡿⠟⠋⠉⣭⡙⢶⣌⠛⢡⣼⢿⣿⣿ ⠀⠀⢸⣿⣿⡿⣿⡇⢠⣶⣿⡿⠉⠀⣼⣿⢿⡀⢾⣿⣿⣿⣿⣿⡿⠿⢿⡿⠟⣋⣴⣾⡿⠟⣉⣀⣀⣤⣷⡇⠘⣿⢦⠍⠳⣤⠁⠸⠯⢍ ⠀⠀⠸⠯⠿⣷⣾⡇⠈⠛⠋⡄⢀⣾⣿⣿⣿⣷⣄⠋⣿⠟⢛⣩⠴⠂⣡⣴⣿⣿⠟⠁⣠⡾⣿⣿⣿⣿⣿⣷⡀⣿⡄⣆⠰⠎⣷⣄⠀⣸ ⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠉⠀⣸⣿⣿⣿⣿⣿⣿⣷⣦⣤⣭⣴⣾⣿⣿⡿⠋⠠⣶⣶⠚⣓⣀⣿⣿⣿⣿⣿⣧⡘⢿⣿⡇⢦⠜⢿⡆⠫ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠐⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠱⢸⣦⠈⣿⣦ ⠀⠀⠀⣀⣤⣤⣶⣿⠿⣿⣿⣿⣿⣿⣿⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⡻⣻⠿⠿⡿⣦⢸⣷⣤⡞⢿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣤⡶⠁⣠⣴⣾⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⣿⣿⣴⣿⠿⠋⣁⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣾⣿⡿⠟⠋⠉⠀⣀⣀⣀⣨⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣤⣤⣴⠂ ⠈⠉⠁⠀⠀⣀⣴⣾⣿⣿⡿⠟⠛⠉⠉⠉⠉⠉⠛⠻⠿⠿⠿⠿⠿⠿⠟⠋⠁⠀ ⠀⠀⠀⢀⣴⣿⣿⣿⡿⠁⠀⢀⣀⣤⣤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣿⣿⣿⡿⠁⢀⣴⣿⠋⠉⠉⠉⠉⠛⣿⣿⣶⣤⣤⣤⣤⣶⠖⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⡇⢀⣿⣿⣇⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀ ⠀⠀⠸⣿⣿⣿⣿⡇⠈⢿⣿⣿⠇⠀⠀⠀⠀⠀⢠⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⣿⣿⣿⣷⡀⠀⠉⠉⠀⠀⠀⠀⠀⢀⣾⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢿⣿⣿⣷⣄⡀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣋⣠⡤⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠿⠿⠿⠿⠿⠿⠟⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⣳⣻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⣏⣷⡿⢹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡻⣡⣷⠟⡀⢼⣷⠧⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣯⣽⣿⡓⢄⡐⠠⣀⣶⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⢇⡘⢄⠒⣥⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡴⢯⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⡠⣾⣿⣯⣟⡲⣬⣜⣮⣙⡾⢿⣿⣟⡿⣛⠷⣦⣄⡤⢔⣶⣶⣟⡾⣍⢯⣙⣧⢽⣯⡇⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⠼⣗⣮⣾⣿⡿⠿⢿⣟⣟⣻⡽⣏⡿⣟⡿⣏⣷⢫⡟⣶⣹⢻⣿⣿⣻⣾⣽⣾⣟⣿⠞⢫⣿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠇⣀⣼⣿⣿⣁⣀⢀⣼⠿⣼⣳⡽⣯⢿⣹⣷⣻⡼⣣⣟⡲⣭⠳⡽⣿⣯⣷⣿⠟⡻⠁⠚⣿⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⣴⣿⣷⡀⠉⢠⣾⣏⡿⣫⢷⣻⣽⣟⡿⣾⢟⣽⣻⣬⢳⣧⢻⡵⣏⣿⣿⣣⢋⢄⣠⢐⣨⡭⠇⠀⠀⠀⠀⠀⠀ ⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡵⠟⣿⡿⠹⣿⣶⣿⣷⢞⣽⢯⡿⣷⣿⡽⣿⣻⣿⣷⣟⣾⠿⣜⣣⣞⡧⣿⢿⣷⣩⣾⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⣤⣼⣯⣅⣤⣼⣿⣧⣶⢿⣿⣿⣼⣿⣧⣿⣾⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣾⣵⣿⣷⣿⣿⣿⣿⣿⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⡟⣯⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡝⠻⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣃⢘⡀⡛⡘⢃⢃⡘⣀⠛⡘⠛⣃⠘⠛⡇⢿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⡿⣿⣿⣿⢏⣧⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣩⣿⣸⠘⡛⡇⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡔⢠⠂⢡⠐⣁⢂⠰⠀⡌⠄⡡⢀⠜⡐⠰⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡜⣿⣻⣽⣾⣧⢓⢃⠐⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠆⡂⢅⠢⢈⠄⢂⠄⢃⠐⠰⢀⠂⠔⡀⢃⡣⢿⢿⣿⣿⣿⣿⣾⢿⣿⣿⣿⣿⣿⣾⢰⣛⢣⢭⡾⠈⠻⣿⣷⢿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⡓⠓⠌⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡱⠈⡄⠢⢁⠌⠂⡌⠄⢊⠐⠤⢈⡐⠄⢂⠁⠾⣿⣿⣿⣿⣷⣿⣿⡿⣯⣿⣿⣿⣿⣇⠌⠣⠎⠬⠢⣢⠀⠀⣼⣟⣫⠋⣻⣿⣿⣿⣿⡿⢿⣿⣦⠽⡂⠀⠀⠀⠀⠀⠀⠀ ⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⡠⠑⡠⠑⡈⠄⢃⠰⢈⡐⠌⡐⠄⡐⡈⠤⢈⠴⡙⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣾⢿⣧⡐⢀⠂⠄⢀⠂⠁⣹⡖⡍⣦⣿⣿⣿⣿⣽⢣⢁⡀⠉⡄⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡅⢊⠤⠑⡈⢌⡐⢂⠂⠔⡐⠠⢊⠐⠠⠌⣀⠢⠘⢌⠻⣿⣿⣿⡿⣿⣿⣿⣿⣿⡿⢆⡈⠉⠣⢌⡐⣀⠌⠰⡉⢁⠙⣻⣿⣿⣿⡿⢃⠇⢤⣴⣡⢀⢃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⠌⡐⠂⠥⡈⠤⠐⢂⢉⠰⢀⠃⢄⠊⡁⢂⠄⠂⠍⠢⠑⠢⠝⡿⡝⣿⣿⣿⣿⡿⢻⣯⣞⢢⠁⠠⠡⡤⡑⠣⡐⢀⣲⣿⣿⣿⡟⠔⠡⡈⠄⣻⡛⢦⡟⠀⠠⠀⠄⠀⠀⠀ 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⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀ ⢾⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⣀⣴⣶⣿⣿⣿⣿⡇ ⠈⢿⣿⣿⣿⡛⠛⠈⠳⣄⠂⠀⠀⠀⠀⠀⣠⠞⠉⠛⢻⣿⣿⣿⡟⠀ ⠀⠸⣿⣿⣿⠥⠀⠀⠀⠈⢢⠀⠀⠀⠀⡜⠁⠀⠀⠀⢸⣿⣿⣿⠁⠀ ⠀⠀⣿⣿⣯⠭⠤⠀⠀⠀⠀⠃⣰⡄⠌⠀⠀⠀⠀⠨⢭⣿⣿⣿⠀⠀ ⠀⠀⠹⢿⣿⣈⣀⣀⠀⠀⠠⢴⣿⣿⡦⠀⠀⠀⣀⣈⣱⣿⠿⠃⠀⠀ ⠀⠀⠀⢠⣾⣿⡟⠁⠀⠀⠀⠀⣿⣏⠀⠀⠀⠀⠘⣻⣿⣶⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⢂⠀⠀⠀⠀⠘⢸⡇⠆⠀⠀⠀⢀⠰⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠈⣿⣷⣿⣆⡀⠀⠀⠁⠈⠀⠠⠀⠀⢀⣶⣿⣿⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⣿⣿⣷⣴⡜⠀⠀⠀⠀⣦⣤⣾⣿⣿⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡿⠛⠿⠿⠛⠁⠀⠀⠀⠀⠘⠿⠿⠿⠿⢧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀
(‿ˠ‿)( • )( • )ԅ(‾⌣‾ԅ)
⠀⠀⠀⠀⠀⠀⢀⣠⠤⠔⠒⠒⠒⠒⠒⠢⠤⢤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⣄⠀⠀⠀(Ignore for z00phile rights, Like for YIPPEE) ⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠦⠀ ⠀⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧ ⠀⡇⠀⠀⠀⢀⡶⠛⣿⣷⡄⠀⠀⠀⣰⣿⠛⢿⣷⡄⠀⠀⠘⣿⠀ ⠀⡇⠀⠀⠀⢸⣷⣶⣿⣿⡇⠀⠀⠀⢻⣿⣶⣿⣿⣿⠀⠀⠀⢸⠀ ⠀⡇⠀⠀⠀⠈⠛⠻⠿⠟⠁⠀⠀⠀⠈⠛⠻⠿⠛⠁⠀⠀⠀⢸⠀ ⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠁ ⠀⠀⠈⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣚⡁⠀⠀ ⠀⠀⠀⠀⠈⠙⠒⢢⡤⠤⠤⠤⠤⠤⠖⠒⠒⠋⠉⠉⠈⢙⢨⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹ ⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⣤⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⢠⣿⠀⠀⠀⢸⠀⠀⣿⠀⠀⠀⣸ ⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⢸⠘⡆⠀⠀⢸⣀⡰⠋⣆⠀⣠⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠤⠤⠼⠀⠘⠤⠴⠃⠀⠀⠀⠈⠉⠁
⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⢀⣴⣶⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣶⣶⣤⣀⣀⣀⣿⣿⠇⠀⠀⠀⠀ ⣿⣿⣆⠀⠀⠀⣾⣿⡇⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⠀⠀⠀⠀⢀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣦⣤⣀⣀⠀ ⠹⣿⣿⣧⠀⢸⣿⣿⠀⠀⠀⠀⢀⣾⣿⣿⠋⢀⣿⣿⠀⠀⠀⣰⣿⣿⡿⠛⠉⠁⠀⠈⠉⢻⣿⡇⠀⠈⠉⢻⣿⣿⠿⣿⣿⣿⡇ ⠀⠘⣿⣿⣷⣾⣿⡏⠀⠀⠀⠀⣿⣿⡿⠁⢀⣼⣿⡿⠀⣤⣤⣿⣿⣯⣤⣤⣤⣤⣤⣤⣶⣾⣿⡇⠀⠀⠀⢸⣿⡟⠀⠀⠀⠀⠀ ⠀⠀⠈⢿⣿⣿⣿⠁⠀⠀⠀⢸⣿⣿⣶⣾⣿⣿⡿⠃⠀⠛⠻⣿⣿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠁⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⢨⣿⣿⡏⠀⠀⠀⠀⢸⣿⣿⠛⠋⠉⠁⠀⠀⠀⠀⠀⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⠃⠀⠀⠀⠀⠸⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⡏⠀⠀⠀⠀⠀⠀⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⢠⣿⣿⡇⠀⠀⠀⠀⠀⠀⠸⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣷⣦⣀⢀⣀⡀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⢪⠀⠀⡃⣶⠨⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡠⠒⢒⣒⣶⣷⠿⠙⠋⠉⠙⣿⣷⠀⠀⠀⠀ ⠀⣍⠩⢘⣟⡅⠁⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠦⡆⠋⠚⠁⠁⠀⠏⡟⡇⠀⣀⣐⣶⣿⡟⣻⡇⠀⠀⢀ ⠀⢃⡓⠈⣫⣚⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣔⡄⡄⠀⢀⡔⡺⠑⠀⠒⠂⠊⠀⠀⠀⠀⠙⠿⡽⣦⣭⡛⢋⣵⣾⠏⠀⢠⠀⠃ ⠀⣩⡔⡈⠽⣫⠐⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠟⠿⢇⡠⠶⠟⠈⣀⡀⠀⠀⠀⠀⡀⠄⠊⠁⠀⠀⠉⣉⣋⡿⠿⠏⡁⠀⠀⢘⠐⠃ ⠠⢸⡤⢊⡥⠇⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠊⠁⠀⡠⠔⠊⠀⠀⠀⠀⠄⠈⠀⠅⣀⠤⣆⢖⠏⠋⠈⠀⠀⡈⠀⠀⠠⠀⠔⠠ ⡁⢼⣦⠊⠯⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠀⡤⣴⠴⢝⠖⠛⠊⠀⠀⠀⢀⠀⡀⠀⠐⠀⠄⠀⠂⠄ ⠂⢼⢱⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠁⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⢲⣷⠋⠁⠀⠀⠘⡸⠀⡩⡤⠀⠀⠨⡌⠃⠈⠀⡀⠀⠁⠀⡂ ⣧⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣔⠧⠉⢆⠀⠀⣀⡠⠠⠂⠂⣁⠔⠁⠀⠈⠓⠦⡀⠈⠬⠀⡐⢃⠀⠀⠰⠂⡉⡀⠀⠀⠀⠀⠐⠃⠀ ⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣗⠁⡊⢐⠒⠀⠅⢀⣠⡌⠋⠀⠀⠄⡐⠄⠀⠀⣷⢀⣳⠀⡀⠑⠠⠀⠀⠄⢐⠀⠀⠠⠈⠀⠈⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣛⢓⠐⠃⠄⡆⠀⠀⠁⠀⠂⠀⠀⠈⠀⠹⠅⠀⠀⣼⠀⠈⠆⣀⠈⠀⡂⠀⣀⠀⡁⠀⠀⠀⠀⠀⢐⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢙⢂⠀⠀⠂⠁⠀⠀⠀⠀⠀⠀⠄⠀⠂⠀⠀⠀⠀⣸⠅⠀⠀⠀⠀⣇⠀⢨⢀⠀⡀⠀⠀⠀⠠⠁⠀⠂ ⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡞⡔⡀⠀⠀⠀⠀⢀⡷⣧⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⢈⠄⢇⢀⠀⢴⠀⡀⠀⠀⠀⠀⠀⠁ ⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢧⣤⣔⣲⡶⠛⡃⢿⡀⠀⠀⣀⣀⡤⡪⠁⠀⠀⠀⠀⠀⠀⠀⠀⡹⡁⠀⢀⠀⠀⠀⠀⠛⢁⠌⠄ ⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⡤⠀⠧⠝⠯⠛⠒⠋⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠁⠀⠐⠀⠀⠀⢀⠁⡈ ⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢴⡆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢅⠠⡡⠀⠀⠀⠐⠃⣪ ⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣝⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⠘⠄⠀⠀⢠⠀⡀ ⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⡸⡑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡅⠀⠀⠀⡀⣀ ⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠂⢲⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡠⠀⢨⠀⠃ ⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⡂⠀⠃⣠ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠠⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⡂⠪⠀⠅ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠡⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡉⠃⠒⠠⠍ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⣕⠂⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡨⠀⡑⠀⡅ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠝⣗⠅⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣪⠀⠰⠐⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⢷⡇⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠄⢼⠄⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣾⡇⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡂⠐⠁

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

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⠀⠀⠀⠀⢀⣀⣀⣠⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣄⣀⣄⣀⠀⠀⠀⠀⠀ ⠀⠀⣠⡞⠟⠉⠉⠉⠉⠙⠻⣤⡀⠀⢀⣠⡾⠏⠋⠉⠈⢉⠘⡷⣆⠀⠀⠀ ⠀⣰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⢦⣺⠇⠀⠀⠀⢀⡠⠀⠀⠀⠀⠐⠹⣧⠀⠀ ⠀⡿⡀⠄⡃⠜⡘⠄⡛⢠⢃⡘⢀⠛⡀⢄⠃⡜⣘⠃⠀⠀⠀⠀⠀⠀⠘⡤⠀ ⠀⣻⡔⢣⠜⣢⠑⡎⠴⡡⢆⡜⣂⠧⣘⢢⡑⠦⣌⠹⢦⡀⠀⢀⡴⣻⠃⠀ ⠀⢱⣻⣜⠺⣔⡫⣜⣣⢓⣎⠶⡱⢎⡵⣢⢝⡲⢥⡛⢦⣳⢀⡾⣱⢿⠀⠀ ⠀⠀⢷⡞⡿⣼⠀⠁⢷⠮⣝⣬⢳⠽⣩⢶⣙⢮⡝⣮⣝⡳⢮⡷⣻⣽⠁⠀⠀ ⠀⠀⠀⢻⡽⠁⠀⠀⠈⢻⡜⣮⢏⡽⣣⢏⣞⣣⢟⡲⣭⡝⣧⣟⡳⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠯⢞⡱⣏⢶⡹⣎⢷⣣⢟⣞⠞⠁⠀⠀⠀⠀ ⠀⠀⠑⠦⣀⠀⠀⠀⠀⢀⣶⣻⣛⢯⣳⡹⢎⡷⣹⢎⣷⠻⠂⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⡄⠀⢠⢾⣏⢯⡻⡼⢭⡳⣞⡵⣫⢾⠝⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⡄⠊⠀⠙⢏⡷⣝⣧⢻⣜⣷⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠈⠛⣳⣞⣟⠎⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠒⢦⡠⣆⠅⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⣀⡀⠀⢰⠀⠀⢸⣿⠂⢁⠀⡀⡀⠀⠀⠀⠀ ⠀⠀⠀⢸⢻⠀⠙⣆⠈⡄⠀⢸⡿⠀⠁⠀⣿⢹⠀⠀⠀⠀ ⢠⡖⠲⣌⠚⡀⠀⣿⠀⢱⠀⢸⠃⠀⠀⢠⡟⢃⠆⠁⣿⠀ ⠀⠣⡀⢹⡆⠘⢠⡏⠀⠀⡱⢏⠀⠀⣠⠏⠀⢸⢀⠔⠁⠀ ⠀⠀⠈⡼⠀⠀⠚⢁⣈⣀⣤⣤⣤⣤⣀⣀⡀⠈⠃⠤⠤⠀ ⠀⠀⡀⠤⠒⠊⠉⢁⣀⡀⢀⠀⠀⠀⢀⣀⠉⠉⠑⠢⢄⠀ ⠀⠊⠀⠠⠐⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢍⠀⠀⢀⠆ ⠀⠑⠂⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠐⢄⠀⠀ ⠀⡰⠊⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⢃⠀ ⢰⠀⠀⠀⡇⠀⠀⠀⠀⠀⣀⣤⠴⣄⡀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠈⡄ ⡔⠁⠀⠀⡇⠀⠀⢀⠤⠂⠉⠀⠀⠀⠀⠈⢐⠤⡀⠀⢸⠀⠀⠀⠀⡇ ⡇⠀⠀⠀⠃⠀⡰⠉⢠⠀⠀⠀⠀⠀⠀⠀⡆⠀⠈⢂⢸⠀⠀⠀⢀⠇ ⠱⠀⠀⠀⠰⣜⣤⣤⡀⡇⠀⠀⠀⠀⠀⠀⢀⡾⢻⣶⣯⠀⠀⠢⡈⠀ ⠀⠣⡀⠀⢠⢿⣿⣤⣿⣤⡠⠐⠒⠒⠂⢄⣿⣷⣾⣿⡏⡇⢀⠜⠀⠀ ⠀⠀⠈⠢⢸⠜⢿⣿⣿⢿⡄⠀⠀⠀⠀⢸⠛⣿⣿⡟⠔⡏⠁⠀⠀⠀ ⠀⠀⠀⠀⠈⢂⣡⠿⠯⠁⣈⣢⣀⣠⣔⠡⠤⠒⢉⠱⠊⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠖⠲⠂⠀⣤⠀⠐⠒⢈⠋⢆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠇⠀⠺⣆⠀⠀⡎⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⢸⠀⠀⠉⠀⢠⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣠⠤⠼⡇⠀⠀⠸⠀⠀⠀⠀⠘⠀⠀⠀⠹⢄⡀⠀⠀⠀⠀ ⠀⢀⠎⠉⠉⢣⠀⡇⠀⠀⠀⡄⠀⠀⠀⡇⠀⠀⠀⠀⢠⡬⠒⠦⣀⠀ ⠀⠘⡁⠀⠀⢠⠃⢡⠀⠀⠀⣷⣤⣤⣤⠀⠀⠀⡜⠀⡆⠀⠀⠀⢹⠀ ⠀⠀⠈⠐⠒⠈⠈⠉⠱⠢⡞⠂⠀⠀⠘⢢⡤⠎⠑⠒⠓⠤⠤⠄⠃⠀
⡹⡽⢤⡀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⢲⢦⠀ ⢿⣱⡟⣲⢶⡻⣌⢿⠀⠀⢀⡤⣔⣦⠤⠖⢤⢴⣢⠄⡀⠀⠀⣤⠶⣤⢘⢯⣎⡳ ⠸⣿⢸⣱⡾⢱⡿⠁⠀⡰⣱⠉⣿⣿⢇⡈⣿⡁⣸⣿⣎⢱⠀⢷⠏⣶⡿⣇⠾⣁ ⠀⢻⡜⡧⣽⡣⡇⠀⡰⡓⠿⠿⡭⢟⣲⣄⣫⡻⠿⠾⠿⢫⡣⣠⢟⣦⠗⣭⠳⣭ ⠀⠀⠻⣜⠲⡽⠃⣰⠁⠧⠮⢗⣿⣿⣿⣿⣿⣷⣾⡒⠻⣤⠇⣹⠣⣏⠞⣥⠟⠁ ⠀⠀⠀⠈⠉⠀⠀⡇⡘⢌⢢⣿⣿⣿⣿⣿⣿⣿⣿⣷⢡⠏⣶⠘⡆⠈⠉⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣇⡘⠄⣾⣿⣿⣿⠿⠛⠿⣿⣿⣿⣯⣔⣸⢒⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⡀⣏⣿⣿⡏⠰⣀⠉⡆⡈⢿⣿⣿⠀⢁⡾⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢱⡊⠿⣋⠄⠣⢄⠣⡐⢡⢂⠻⠿⠉⡾⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠪⣅⡘⡐⢂⠡⡘⠄⢢⣉⠷⡮⠃⠀⠀⠀⠀⠀⠀⠀
⢰⣾⣿⢶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣏⣿⣿ ⠸⣿⣿⣿⣇⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣿⣿⠿⠋ ⠀⠀⠉⢻⡅⠈⠉⠙⠓⠶⢦⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡤⠶⠚⠛⠉⠁⠠⣾⠇⠀⠀ ⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠓⠲⠦⢤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠴⠶⠚⠋⠉⠁⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀ ⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⣀⣀⣤⡴⠶⠶⠶⠶⠶⠦⣤⣀⣀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠉⠁⠀⠀⠂⠀⠀⠀⠀⠀⠒⠀⠉⠙⠛⢶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠈⠛⢶⣄⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣴⠶⠛⠉⠉⠉⠛⠷⣤⡀⠀⠀⠀⠀⠙⢷⣄⠀⡀⠀⠀⢸⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⢡⣶⣶⡄⠀⠀⢠⡶⣮⢻⣆⠀⠀⠀⠀⠀⠻⣦⠀⠀⣸⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣸⣿⣿⠃⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠙⣷⠶⠿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠶⠶⣶⣶⡶⠄⠀⠀⠀⠀⠀⠀⠀⣀⡴⠾⠿⢯⣽⣿⣷⣤⢠⡆⠠⡄⣽⣿⣿⡿⠟⠛⢿⣆⠀⠀⠀⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠁⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠉⠉⠻⠿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⢙⢷⣄⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⢀⡴⠋⢀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣶⡍⣈⣿⣆⠀⠼⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⢰⡟⠁⢀⣀⣸⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⢀⠀⢀⠀⠀⠀⢸⣿⣿⣿⣿⡅⠀⢻⡆⠀⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⢰⡟⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⢀⠄⡰⠋⡴⠃⡴⠁⠀⠘⣿⣿⣿⣿⡇⠀⠀⣿⡞⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧⠀⠀⠀⣾⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⠃⠀⠀⢀⠞⠀⠊⢀⣈⣀⠀⠀⠀⠙⠿⠿⠟⠀⠀⠀⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣎⠀⠀⣿⠀⠀⠀⠀⠀⠀⠙⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠘⠻⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡂⣀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣾⢿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠖⠒⠒⠒⠒⠒⠒⠒⠒⠒⠶⠶⡦⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⣠⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣧⣄⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣷⠚⠁⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠛⢲⣴⣾⣿⡿⠿⣶⡶⠖⠉⠉⠉⠙⢦⠀⠀⠀⠀⠀⠀⣠⠞⠉⠙⠻⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢶⠟⠁⢠⠏⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠙⣿⢿⡏⢹⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⢸⠀⠛⠚⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠈⠦⣀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣄⣀⡀⣀⣠⠴⠊⠳⠶⠶⠶⠶⠶⠶⠤⠤⠤⠤⠼⢹⠒⠒⠋⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⠤⠤⠤⣤⠀⠀⠀⢀⣿⠀⠉⠁⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⡾⠻⢶⠶⣤⣄⠀⠀⠀⢀⣀⣀⡀⠀⠀⣀⣀⣀⣤⣤⣤⠤⠤⣤⣤⣤⠄⠀ ⠀⠀⡇⠀⠀⠉⠢⣈⠛⠛⠛⠉⠉⠉⠉⠛⠋⠉⠉⠀⠀⢀⠠⠔⠊⢉⡼⠋⠀⠀ ⠀⠀⣇⠀⠀⠀⠀⠈⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠁⠀⠀⣠⠟⠁⠀⠀⠀ ⠀⠀⣿⠀⠀⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀ ⠀⢀⡟⠢⢀⡀⠀⠀⣀⠠⠓⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⡀⠀⢀⡇⠀⠀⠀⠀⠀ ⠀⡾⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣶⠞⠁⠀⠀⠀⠀⠀ ⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⣾⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀ ⣷⠀⠀⠀⠀⠀⠀⠈⢫⠋⣿⡖⢦⠀⠀⠀⢀⡴⣿⢙⡏⢉⡏⠀⠀⠀⠀⠀⠀⠀ ⠘⢷⠀⠀⠀⠀⠀⠀⠀⠑⠂⠀⠓⢣⠀⠀⡞⠓⠚⠊⠀⠈⠙⢦⡀⠀⠀⠀⠀⠀ ⠀⢸⡇⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠘⡄⢀⠇⠀⢀⠔⠁⠀⠀⠀⠙⢦⡀⠀⠀⠀ ⠀⠀⡇⠀⠀⠀⠑⠤⡀⠀⠀⠀⠀⠀⣗⡜⠀⡠⠃⠀⠀⠀⠀⠀⠀⠈⠻⣄⠀⠀ ⠀⠀⡇⠀⠀⠀⠀⠀⠈⠐⠤⢀⣀⣉⣉⠦⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀ ⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢹⡄ ⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀⠀⢷ ⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢸ ⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⠀⠀⢸ ⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⢠ ⠀⠀⠀⢻⡀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢸ ⠀⠀⠀⠘⣧⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⣸ ⠀⠀⠀⠀⢹⡀⠀⠀⠀⠘⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⢠⡏ ⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⢱⡦⣤⣀⣀⣠⣤⡀⠀⠀⠀⠀⠀⠇⠀⠀⠀⣾⠁ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⠋⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣀⡆⠀⠀⠀⠀⢀⡟⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠙⣧⣀⣾⣤⡤⠞⠁⠀⠀⠀⠀⠙⣦⣄⣰⣧⣬⣿⠟⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⠛⠛⠿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠋⠀⠀⠀⠀⢸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠀⠀⠀⠀⠀⠰⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠨⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠈⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⢐⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡇⠀⠀⠀⠀⠀⠠⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡇⠀⠀⠀⠀⠀⢰⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⡿⠿⢿⣿⣿⠃⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠋⠀⠀⠀⠹⣿⠀⠀⠀⠀⠀⠀⢸⣿⣷⣶⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⠃⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠈⣿⠛⠉⠉⠙⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣼⣿⡿⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⢹⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⠿⣿⠇⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠘⣿⠛⠲⢦⣤⠀⠀⠀⠀⠀ ⠀⠀⣰⣿⠟⠁⠀⣿⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠹⣧⡀⠀⠀⠀ ⢀⣼⠟⠅⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠸⠟⠁⠀⠀⠀⠀⠀⠑⠿⠃⠀⠀⠀⠀⠀⢹⣇⠀⠀⠀⠹⣧⠀⠀⠀ ⣾⠏⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⢽⣧⠀⠀ ⣿⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠃⠀⠀⠀⠀⣿⣆⠀ ⣿⣆⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀ ⠹⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇ ⠀⠈⢻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠇ ⠀⠀⠀⠙⢿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡟⠀ ⠀⠀⠀⠀⠀⠙⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠁⠀ ⠀⠀⠀⠀⠀⠀⠈⠹⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠉⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠤⢄⡀⠀⠀⠀⠀⠀⠀⠀⢰⡀⠀⢸⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡈⠁⠊⢕⠢⡄⠀⠀⠀⠀⡇⠃⠀⠀⣇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠀⠑⡌⢦⠀⠀⠀⡇⡀⠀⠀⢻⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡷⡀⠀⠀⠰⠈⢇⠀⠀⢃⢣⠀⠀⢹⠆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡠⠼⢵⡀⠀⠀⠃⠈⡀⠀⢸⠀⢆⢀⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡴⠞⠉⠁⠀⠀⠀⠳⣄⠀⠸⠀⠱⠠⣘⠀⠈⣆⠏⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠇⠀⠂⠊⠀⠀⢹⡀⠀⠀⠀ ⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢶⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀ ⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⡴⠀⢠⣲⠉⠙⠀⠀⠑⠤⣀⠀⠀⠀⠀⠀⠸⠀ ⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⢠⡇⢀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠿⠵⡄⠀⠀⠀⠇ ⡠⡤⠞⢹⠀⠀⠀⠀⠀⠀⠀⠀⡇⠈⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐ ⢧⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠘⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣆⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠀⠀⣀⣠⠖⠁ ⠀⠈⠢⠤⠬⠦⡀⣀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢎⠳⢤⣀⣀⡴⢓⡄⠄⠀⠀⠀⠀⠀⡐⠀⠀⠀⢀⠞⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠈⢎⠐⠠⠤⠴⣊⣀⣀⡀⡔⠛⠐⠆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠒⠒⠊⠀⠈⢦⣀⣀⣤⡸⠀⠀⠀⠀⠒⠒⠁⠀⠀
⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠟⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢷⡄⠈⡓⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠤⠂⢹ ⠈⡷⡄⠈⠲⢤⣈⠻⠉⠛⠉⠉⠁⠒⠖⠉⠉⠉⠒⠶⢦⣤⠴⠒⢉⣡⠴⠀⢀⠏ ⠀⢸⡿⡂⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⡞⠉⠀⢀⣠⡞⠀ ⠀⠀⢙⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⢠⡼⡟⠀⠀ ⠀⠀⡼⠋⠀⣤⣀⠀⠀⠀⠀⠀⠈⠐⣂⣄⠀⠀⠀⠀⠀⠀⠀⢀⠀⣰⡟⠁⠀⠀ ⠀⢠⡇⠀⠀⠘⠛⠃⠀⠀⠀⠀⠾⣿⠿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀ ⠀⢸⡇⢺⡀⠀⢠⡒⠠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡀⠀⠀⠸⡇⠀⠀⠀ ⠀⢸⡇⣘⠑⡀⠀⠙⢏⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⣔⣇⠀⠀⠀ ⠀⢸⡇⡁⠀⢳⣶⣾⣷⣦⣄⣀⡀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀ ⠀⠸⡇⠁⠀⠀⢏⠉⠀⠀⠙⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡏⠀⠀⠀ ⠀⠀⠯⣀⣈⣀⣈⣐⣲⣄⣄⣤⣴⣆⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣛⡧⠀⠀⠀
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