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⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⢈⠈⠀⠀⠀⠆⠀⠀⠀⠀⠀⡜⠀⠀⢸⢀⠃⡎⡘⢠⡗⠁⠀⠀⡜⠀⢀⡠⠀⠀⠒⠀⠒⠒⠒⠈⠉⠀⠀⠀⠀⠀⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢆⡀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠠⠀⠀⠀⠀⢀⣯⠀⠀⠸⣼⠀⣧⠃⡾⠁⠀⠀⠀⠇⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢈⠀⠀⠀⠀⠀⠾⠀⡀⠀⠀⢀⠇⠀⠀⠀⠀⢸⣿⠀⠀⡀⡏⠀⢸⠀⡇⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⡀⣀⡠⠒⠀⠀⠑⠒⠒⠉⠀⠀⠀⠀⠀⣸⡅⠀⠀⣇⢀⡇⡗⠘⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⢸⡿⢶⣄⡀⠀⡴⠋⢀⠄⠊⠉⠉⠑⠒⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⢻⠘⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠆⠀⢀⡀⠄⢊⡡⠁⢀⠂⠀⡀⠀⠀⠀⣼⠃⠀⠈⠙⢻⠁⢠⠃⠀⠀⠀⠀⢀⠀⠄⠀⠉⠓⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣲⡄⢠⢄⠀⠀⠀⠀⠀⠀⣿⢦⣀⠀⠠⠀⠁⢆⠀⠀⣀⣠⣤⣴⣶⠞⢿⣽⠏⢀⣠⡡⠄⠊⠁⠀⣠⠎⠀⡠⠁⡄⠀⠀⠁⠀⠀⠀⠀⠀⢷⣮⠀⠀⠀⢀⡔⠁⠀⠀⠀⠀⠀⠀⠀⠙⠢⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⢸⣾⠀⠀⠀⠀⠀⠀⢹⣎⠋⢗⠐⠀⠀⠀⠃⠘⣱⠟⣙⣡⣠⡴⠟⠉⠈⠀⣀⠀⠒⠀⣠⠔⠁⡠⠘⠀⠀⡇⠀⠀⠀⠀⢀⡠⠐⠒⠀⣞⣷⣤⣤⡞⠀⠀⠀⢀⠔⠂⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡏⠘⠳⠀⠀⠀⠀⠀⠀⠀⠻⡷⠦⡇⠀⠀⠀⠀⠀⠓⠉⠉⠀⠀⠀⣀⣁⡉⠉⠉⠉⠉⡉⠡⠐⠈⠀⠀⠀⠀⡁⠀⢀⠠⠊⠁⠀⠀⠀⠀⠙⠾⣿⣿⣟⣦⣤⡜⠁⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⢀⡄⠀⠀⠀⢡⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠷⣯⣟⡲⢶⣯⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⢳ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡅⠀⡀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠒⠙⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣏⠴⣷⠆⠀⠀⠀⠀⠀⡜⠀⠀⢨ ⠀⠀⠀⠀⠀⠀⢀⠤⠼⣀⡀⣤⣀⣹⢁⡉⠲⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣄⠈⠒⢏⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⢀⠤⠒⠉⠁⠠⢈⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⢡⢳⠀⠀⠀⠀⡐⠀⠀⠀⠐ ⠀⠀⠀⠀⠀⠀⢸⣻⣯⣙⣿⣛⢣⠙⣯⣭⢦⡘⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠲⠤⠷⣶⣶⡾⠋⠁⠀⠀⣀⢤⣖⣋⠀⠀⠀⡐⠈⢠⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡌⠆⣇⠀⠀⠀⠀⠀⠀⠀⢈ ⠀⠀⠀⠀⠀⠐⣯⢣⣿⣿⠳⡺⣿⣿⣿⢿⡆⠇⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⠻⢦⣀⡤⠴⠒⠋⠁⠀⠀⠀⠀⠠⠐⠀⢡⡞⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠐⡜⣆⠀⠀⠀⠀⠀⠀⠠ ⠀⠀⠀⠀⠀⠀⠙⣏⠺⣿⣷⢹⣟⣶⠟⢭⣃⢷⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⣠⠖⠉⠀⠀⢂⠀⠀⢀⠀⠀⠀⠀⠀⠀⣀⣂⡡⠤⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡌⣟⠼⡀⠀⠀⠀⠀⠀⢐ ⠀⠀⠀⠀⠀⠀⠀⠘⠷⣽⣻⡁⠉⠉⠐⢸⠿⢏⠀⠰⠀⢀⡟⣦⡀⣀⡴⠊⠀⠀⠀⠀⠀⠀⣠⣴⡭⠀⠀⠒⠒⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣇⢸⡇⣳⠀⠀⠀⠀⠀⢠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡢⠀⠀⠀⢀⣸⠀⠁⠀⡸⠇⠀⠟⡧⣤⡀⠀⠀⠀⠀⢀⣾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡆⢷⠠⢧⠀⠀⠀⠀⢠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡗⢂⢒⠡⢺⡇⠀⡰⡹⠀⠀⢸⢰⠀⠩⡀⠀⠀⢀⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢵⠤⣀⠀⠀⠀⠀⠀⠀⠸⣷⠘⡧⡈⢧⠀⠀⠀⠠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠇⡌⡸⠄⣧⠔⡡⠁⠀⠀⡜⠸⠀⠀⠹⡄⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢬⣭⣓⣲⠐⠒⠢⠤⣹⠇⠱⡅⢢⠱⣄⠀⢐ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣴⣤⢷⣻⣿⢟⠀⠀⠀⠀⡇⢸⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⢫⣿⣿⣖⢁⠀⠀⠀⠀⠙⣆⠐⡈⠱⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠀⠀⠀⠘⣿⡚⡛⢩⠐⢎⣆⠀⠀⡜⠀⠸⠀⠀⠀⠈⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠉⠻⡻⣿⣦⣖⣤⣀⠘⠦⣠⠁⡇ ⠀⠀⠀⠀⠀⠀⢀⣴⢷⠁⠀⠀⠀⠀⠘⣷⣜⠠⣉⠆⣌⣣⣜⠀⢠⠃⠀⠀⠀⢠⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠑⠫⢟⣛⣿⠶⢤⣙⡏ ⠀⠀⠀⠀⠀⣠⣿⣏⢸⡄⠀⠀⠀⠀⠀⠈⢿⣶⣤⡾⣶⣿⣿⡷⢇⡀⠀⠀⢀⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠙⣼⠀⠀⠀⠉ ⠀⠀⠀⠀⢰⣿⡏⠘⠊⣃⠀⠀⠀⠀⠀⠀⠀⠙⢿⡿⣛⠋⣍⠲⡡⣍⠷⣶⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡭⡿⡇⠀⠀⠀ ⠀⠀⠀⠀⡟⣯⣇⠤⡂⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣤⢣⣱⣬⠿⠋⠁⣟⡅⠀⠀⠀⣀⣀⣀⣀⡠⠀⢀⣄⡄⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⣻⣧⠀⠀⠀ ⠀⠀⠀⢰⣿⣿⡧⢀⠂⣀⡩⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⣜⣫⠽⣯⡼⠻⠛⠉⠁⠀⠀⠀⠀⠈⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⡠⠊⢸⣿⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⠠⠟⠁⠀⢠⠬⣳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠛⠉⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡮⠀⠀⠀⠀⠀⣜⡡⠚⢉⣿⠀⠀⠀ ⠀⠀⠀⠀⢿⣿⢻⡆⠀⢀⡀⠠⠁⠀⠁⠫⢳⡶⢤⣀⣀⣀⣀⣠⠞⠃⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠐⢁⡠⠀⣸⣿⡅⠀⠀ ⠀⠀⠀⠀⢈⣿⣿⣾⣆⡸⠀⠀⡀⠄⢀⡼⠁⠀⠰⠀⠀⣤⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⢀⡠⢔⡸⠋⡠⠊⣸⣿⡃⠀⠀ ⠀⠀⠀⠀⠀⠙⣿⣿⣿⣧⣄⠐⣀⠖⠋⣀⣀⣄⣷⣼⣷⠃⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠃⣠⠔⠈⣁⡴⠊⢠⠾⠒⠉⢸⣾⡁⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠹⣿⡏⣿⣶⡾⠿⢏⡉⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠉⠉⠉⠁⠀⢀⠀⢀⡰⠈⣸⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⢿⠏⠉⠀⠀⠀⠀⠑⡄⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠊⠀⠀⠀⠀⣠⠒⣈⣡⠔⠊⠁⣀⡄⣽⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⠟⠁⠁⠀⠀⠀⠀⠀⠀⠀⠈⠄⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⡀⠀⠀⠀⠀⠉⠉⣁⣀⣀⡀⣀⢀⠀⣯⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⡾⡏⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠄⠀⠀⠀⠀⣖⢠⡀⠉⠉⠉⠉⠉⠀⢈⣿⡇⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠈⠑⠢⣀⠀⢀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣷⣿⠿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣳⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠈⢀⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣆⡉⣷⣆⡀⠀⠀⠀⠀⠀⠀⠀⢀⣰⠏⣷⢷⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⡜⠀⠀⡠⠀⠀⠀⠀⠀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣝⢦⡙⢿⢥⡓⣒⢒⡒⢲⡘⣭⢶⡻⣭⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢸⠀⠀⢰⠀⠀⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣮⡝⣎⢳⡽⣩⢧⡛⣵⢫⣓⢯⡵⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣸⡀⠀⢸⠀⠀⠀⢀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡼⣌⠳⡜⡥⢧⡹⣌⠧⣝⢺⠴⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⣷⣀⡘⣷⣤⠶⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣌⢳⠹⡜⣣⠳⣌⠳⢎⢧⠛⡴⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡎⢧⢹⡘⢥⠳⣌⢛⡬⢎⡹⢼⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⢿⡜⢢⡙⢆⠳⡌⠖⡜⢢⠕⣪⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣏⠦⣉⣎⡵⠞⠳⠚⢓⡚⠆⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡜⠉⣀⠴⠊⠉⠀⠀⠈⠙⠢⢿⡄⠒⠀⠤⢀⠀⠀⠀⠀⠀⠀⠀ ⢀⠔⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⡸⠁⢠⠀⠀⠀⠀⢢⠀⠀⠈⡘⣆⠀⠀⠀⠉⠢⡀⠀⠀⠀⠀ ⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡇⠀⠸⠀⠀⠀⠀⠈⡆⠀⠀⡇⣿⡀⠀⠀⠀⢠⠇⠀⠀⠀⠀ ⠀⠀⠑⠠⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⣀⢈⠃⠀⠀⠀⠀⡇⠀⣠⠷⠃⠀⡀⠄⠒⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠁⠒⠀⠠⠄⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠲⢤⠤⠤⠶⠛⠛⠓⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠐⠐⠂⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠐⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀