Nino Nakano ASCII Art

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