Herm Fe Emojis & Text

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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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)ladem a evresed uoy taht lla daer uoy fi ekil tub( sodriew ay ssarg emos hcuot oG .)noisore( srevir otni yawa hsaw thgim lios erom ,ssarg tuohtiW .lufsseccus os era stnalp eht yhw nosaer eht fo trap si sihT ]7[ .sworg taht trap eht yortsed ton od yllausu yeht ssarg tae slamina nehw os ,mottob eht morf worg sessarg ,stnalp rehto ekilnU .srezarg rehto ynam dna srallipretac ,sreppohssarg ,ecim ,elttac ,olaffub ,reed sa hcus ,slamina ynam rof doof tnatropmi na era sessarG .selatamsilA redro eht ni toconom a si ssargaeS .tuntsehc retaw dna surypap ,sdeer ,sehsur edulcni stnalp esehT .ylimaf ssarg eht fo srebmem ton era tub ,hcus sa ot derrefer era dna ssarg ot ralimis kool taht stnalp rehto lareves era erehT .dloc ro yrd yrev era hcihw saera gnidulcni ,sdnalssarg ekam dna secalp ynam ni worg nac ylimaf ssarg eht morf stnalP .oobmab sa hcus ,llat worg nac sessarg emos tub ,trohs era sessarg ynaM . srehto ynam dna gnivaew teksab ,]rohcna nekorb[frut strops ,noitcurtsnoc ,noitalusni ,gnihtolc ,leuf ,repap ,hctaht ,kcotsevil rof erutsap ,)yksihw ,reeb( knird ,)semozihr ro stoohs ,niarg sa( doof edulcni sdionimarg rof sesU .dnalssarg dna )frut( snwal fo sessarg eht dna oobmab ,slaerec edulcni sessarg eurt ehT ]6[.seiceps erom evah eaecaibuR dna eaecabaF ,eaecadihcrO ,eaecaretsA eht ylnO .ylimaf tnalp tsegral-htfif eht si eaecaoP eht ]3[,seiceps 000,21 tuoba dna areneg 087 tuoba htiW .elyts-efil ralimis a ot snoitatpada ralimis era yehT .selaoP redro eht ni sedalc ot gnoleb meht fo lla hguoht ,detaler ylesolc yrev ton era seilimaf eerht esehT ]5[.)eaecacnuJ( sehsur eht dna )eaecarepyC( segdes eht fo emos sedulcni dna ,eaenimarG eht dellac osla si ylimaf sihT .elpoep yranidro yb ssarg dellac era hcihw ,eaecaoP ylimaf eht fo "ssarg" eht edulcni yehT .stnalp suoecabreh nodelytoconom era sessarG ]4[. acitcratnA dna dnalneerG ton tub ,htraE eht fo aera dnal eht fo %5.04 revoc yehT .tnanimod era sessarg erehw era eiriarp dna hannavas sa hcus sdnalssarG .sisehtnysotohp rof ruoloc tseb eht si neerG .stcesni tcartta ot evah ton od yeht os ,detanillop-tcesni naht rehtar detanillop-dniw era yeht esuaceb si tahT .neerg roloc eht yllausu si ssarG .skrap dna snwal sa hcus secalp ni dnuorg eht revoc ot desu si ssarg fo dnik nommoc A ]3[.won seiceps 000,21 era er ehT .doirep suoecaterC-dim eht ni saw tnalp nommoc a sa ecnaraeppa riehT .esab eht morf gniworg sevael worran htiw tnalp fo epyt a si ssarG :klof ynroh llay rof egassem htrae ot nwod a s'ereH

(੭ ˊ^ˋ)੭ ♡ please guys don't put a p0rn and nud1ty contents here.. those kids just want to search a cute kaomoji and they found a contents is not good for them so please i just warn you. DO NOT SEND A NUD1TY CONTENT. 🙁 dont ask abt the tags its for it to appear when anyone searches it up

``Arrghh~. . Aghh!~. . k-keep pegging me!~. . d-don't pull out!~. .yo-you're cu-cumming!~.. .Nrgh!~♥``

sgatgnikcofthgirehtrdnutitup- ?tnemugra eht fo edis tnereffid a sa doog od I diD esaelP .dezitamuart gnieb pots lliw nos ym taht os nrop eht kcolb ot etisbew siht tseuqer I dna ereh tnerap a mi iH

) ๏ 人 ๏ (ltoloxaehtkcuF- .ynroh gnikcuf eb su tel tsuJ ?enola elpoep ynroh su evael tsuj uoy nac ,lag ynroh a mi lol

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

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

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠷⣿⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⣠⠀⠀⠀⠀⠀⠇⣷⢶⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⡝⢚⣷⢿⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣸⠀⠀⠁⠉⠈⠀⠀⡀⢦⠉⣄⠑⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠃⣼⣫⠛⣾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠉⣭⣯⣹⣉⣉⣤⠤⣖⠻⡈⢦⠘⠀⠀⠉⠀⠀ ⠀⠀⠀⠀⠀⠇⣳⠴⢯⡴⢀⠀⠀⡄⠤⠢⠛⠈⠀⠀⠀⠀⡟⠚⠒⡀⣦⣷⠿⠤⣶⣛⢍⠤⠶⢰⠀⣆⠘⠋⣿⣴⠀ ⠀⠀⠀⠀⠀⣧⣸⠟⢠⠀⠀⠀⠀⠀⠀⠀⠀⣄⠣⠋⠴⣠⢀⠀⠀⠀⠀⠀⡀⢄⠶⠓⠉⣀⠀⠀⠀⠀⣄⢹⡇⢀⠀ ⠀⠀⠀⠀⠀⡏⠃⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡞⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⠙⠀⠀⠀⠀⡄⣷⠀⠀ ⠀⠀⠀⠀⠀⣿⡇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠘⠀⠀⠀⠀⡄⢳⠀ ⠀⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠹⠀⠀⠀⠀⡀⠹ ⠀⠀⠀⠀⠀⢸⡇⠈⠀⠀⠀⠀⠀⠀⠀⠃⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡟⠑⠀⠀⠀⠃⣾ ⠀⠀⠀⠀⠇⢀⡇⢸⠀⠀⠀⠀⠀⠀⠃⡇⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡼⢀⣀⣳⣾⠓⣴⠀ ⠀⠀⠀⠀⡟⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡾⠀⠀⠀⠀⠀⡾⠀⠀ ⠀⠀⠀⠁⢸⠀⠀⡄⠸⠀⠀⠀⠀⠀⠀⠁⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡼⠀⠀⠀⠀⠀⡏⢠⠀⠀ ⠀⠀⠀⡾⠀⠀⠀⠀⣇⠘⠀⠀⠀⠀⠁⡿⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡾⠀⠀⠀⠀⠀⠃⣰⠀⠀⠀ ⠀⠀⠇⢠⠀⠀⠀⠀⡇⣼⠹⠀⠀⠘⡿⣿⣿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡼⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀ ⠀⡇⡾⠀⠀⠀⠀⠀⡇⢹⡀⢳⠀⠳⣿⣿⣿⣿⢿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡼⠀⠀⠀⠀⠀⠀⡏⢠⠀⠀⠀⠀ ⠀⡇⢸⠀⠀⠀⠀⠀⡇⢸⠀⠀⢦⠛⣿⣿⣿⣿⣿⣿⢿⠻⠙⠉⠀⠀⠀⠀⠁⡼⠀⠀⠀⠀⠀⠀⠁⢸⠀⠀⠀⠀⠀ ⠀⡇⢀⠀⠀⠀⠀⠀⡇⢸⠀⠀⠀⢧⠈⠀⣀⣀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣥⣼⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀ ⠀⡾⠀⠀⠀⠀⠀⠀⡇⢰⠀⠀⠀⠀⢷⠀⡶⣶⡠⣤⢦⡴⡷⣯⡿⠀⠁⡞⢀⠀⠀⠀⠀⠀⠀⡏⢠⠀⠀⠀⠀⠀⠀ ⡇⢸⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⡁⢸⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⡾⢀⠀⠀⠀⠀⠀⠀⠋⢰⠀⠀⠀⠀⠀⠀⠀ ⡇⢸⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠃⡴⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠋⣼⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢹⠀⠀⠀⠀⠀⠀⣧⠘⠀⠀⠋⣰⠀⠀⠀⠀⠀⠀⠁⣰⠀⠀⡇⢀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⠘⠀⠀⠀⠀⠀⡄⢹⠀⠞⢠⠀⠀⠀⠀⠀⠀⠁⡼⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⠀⠀⠀⠀⠀⠀⡇⡼⢀⠀⠀⠀⠀⠀⠀⠃⡰⠀⠀⠀⠇⢠⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣇⠈⠀⠀⠀⠀⠀⡄⠸⠀⠀⠀⠀⠀⠀⠎⣠⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⢼⠢⠓⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠀⠀⠀⠐⠀⠀⡆⠘⠀⠀⠀⠇⡼⠀⠀⠀⠀⠀⠇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠘⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢰⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠐⢠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢠⠀⠀⠀⠀⠀⠀⠋⠴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠆⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠻⠟⢛⣛⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⣉⡄⠀⣀⡀⠨⣙⣏⣉⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⡿⣿⢿⣿⣿⣿⡿⣟⣿⣯⣿⣷⣿⢾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣒⡛⢫⠤⣠⢤⣤⣤⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣻⣯⣿⢿⣿⢯⣿⣯⣿⣿⣻⣞⡷⣿⣽⣻⡽ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢮⣭⣉⡓⠺⠊⢉⠓⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣿⣻⢿⡿⣯⢿⣷⢯⡷⣯⣟⠷⣯⡗⡿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⣩⣿⣿⢿⣷⣄⡙⢮⠭⡁⢠⣬⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣽⣯⢿⣽⡿⣾⣻⣽⣳⣞⣟⡧⣟⡽ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⡴⠹⢿⣿⣀⣿⣿⣯⣍⢛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⡿⣯⣿⡽⣟⡾⣵⢫⣾⡱⢯⡜ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⢀⣞⣰⣀⣾⡷⠘⣿⣿⣟⣩⠙⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⢷⣟⣿⢯⡷⣏⡟⣶⡹⢇⡞ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣰⢯⣾⣿⣿⡿⠁⠀⠀⠼⢿⣿⠥⢤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣟⡾⣟⣯⢿⡼⣹⢶⡹⢣⠞ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣴⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠘⠺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢿⡽⣯⣟⢾⡱⣏⠵⣋⠎ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢬⡙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣽⣳⢯⣏⡗⣎⠳⡌⠆ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⢻⡗⣮⡝⣬⢳⠉⡎ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡿⣯⢷⣫⢗⡭⢎⢧⡙ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣶⡆⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⣀⢛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣟⣯⣟⣧⡟⡼⣉⢆⠣ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠹⣿⢿⡟⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⡂⠭⢊⠻⡹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⣻⣞⡽⣲⢍⡎⢇ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⢻⠆⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢡⠒⠐⢀⠀⠠⠐⡆⢯⡹⡹⢛⡯⢭⡹⣿⣿⣿⣿⣿⣿⣿⡿⣾⢯⣷⣻⣜⡳⢎⡜⠦ ⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠻⢷⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⡄⠠⢎⢦⡹⢄⡄⣌⣩⣝⠾⣡⢃⠡⠃⡘⢧⠿⣽⣻⣿⣿⣿⣿⣿⣽⣿⣟⣷⣻⡼⣝⢮⡙⡖ ⣿⣿⣿⣿⣿⣿⣿⠃⣾⣷⣄⣀⠀⠀⠀⠈⠀⠀⠀⠀⠀⢉⣩⣁⣳⣶⣦⣤⣤⣈⣥⢛⡞⣶⣿⣜⣫⢝⣶⣫⢞⣡⣀⣒⣀⡴⣨⡽⣎⣿⣿⣿⣿⣿⣿⣿⣿⢾⣯⢷⣻⡜⣮⢱⢣ ⣿⣿⣿⣿⣿⣿⣿⡇⣿⢻⠇⠛⢧⠀⠀⠁⠀⠀⠀⠾⠛⣉⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣿⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣯⣿⢾⣯⢷⣻⣼⢣⢧ ⣿⣿⣿⣿⣿⣿⣿⣿⡌⣿⠀⣶⣿⠃⠀⠂⠀⠀⢰⣶⡾⠟⠫⣈⢿⡿⠟⣨⣿⣿⣿⢿⡆⠀⠈⣿⣿⣿⣿⣿⡟⢹⣯⣿⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⡏⢸⣿⢯⣿⢯⡿⣟⡾⣏⣞ ⣿⣿⣿⣿⣿⣿⣿⣿⣷⠸⡀⢿⡃⠀⠀⠁⠀⠀⠀⠀⠀⠀⣀⣉⣛⠶⣿⣿⣿⣿⠟⣿⠃⠀⢠⣿⣿⡏⢿⣯⣭⠷⣭⣭⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⣿⣿⣯⣟⣯⡿⣽⣻⢞⡵ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠱⡈⠹⡄⠀⡁⠀⠀⠀⠀⠀⠈⠙⠋⣙⣹⣿⣿⡿⠋⠀⠀⠀⠀⢺⣿⣿⣿⣆⢻⣿⣻⣶⣷⣿⣿⣿⡿⣟⣿⣿⣿⣿⣿⣿⣿⣟⣾⢯⡿⣽⡷⣯⢿⣹ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⢲⡾⠀⡂⠀⠀⠀⠀⠀⠀⠀⠀⠜⡹⠟⠉⠀⣀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣞⡽⢿⣿⡿⢿⡟⢶⣡⣿⣿⣿⣿⣿⣿⣿⣳⣯⢿⣯⣟⣷⣻⣽⡳⣏ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⡀⣀⡆⡇⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⢀⣠⣾⣿⠀⠀⠀⠀⢠⣿⣿⣿⣿⡏⠱⠂⠄⣙⢣⣟⣮⣿⣿⣿⣿⣿⣿⣿⣟⣷⣻⣟⡾⣽⣞⡷⣯⡽⣳ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠏⠀⠀⠀⠀⢈⣿⣿⣿⣿⣍⠣⡉⠴⣌⢷⣾⣻⣿⣿⣿⣿⣿⣿⡿⣞⣯⢷⣯⡟⣷⣫⡽⢶⡻⣵ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⡑⢺⡿⢏⢀⣠⣀⠀⣦⣀⢻⣿⣿⣿⣿⣣⣝⡳⣎⣿⣽⣿⣿⣿⣿⣿⣿⣟⣿⡽⣯⣟⢶⡻⣵⢣⡟⣯⢳⢧ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠁⢰⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣟⢢⣏⣷⢿⣭⣻⢷⣿⣿⣿⣿⣽⣾⣳⣟⣷⣫⢯⡷⣭⢳⡝⣮⢛⡼ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠷⣞⡿⣎⡶⣿⣿⣿⣿⣿⣿⣞⡷⣟⣾⡳⣏⡷⣹⢎⡷⣙⢦⣋⠖ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺⣽⢳⢏⣾⣿⣿⣿⡍⣉⣛⣻⡿⢿⣾⣽⣝⣳⣝⢮⠳⣍⠶⣉⠞ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⣧⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⡿⠿⠾⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣞⢿⣺⣿⣿⣿⣿⣿⡉⢿⣿⡙⠲⣤⣈⡙⠻⠮⣽⣙⡌⢣⠱⣊ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢸⣆⠠⡀⠀⠀⠀⠀⠘⠉⠁⠀⠀⢀⣠⣶⣿⢿⡛⣴⣿⣻⢻⡽⣷⢯⣞⣿⣿⣷⣿⣿⣿⣿⣿⣿⣡⡄⠀⢢⠉⠱⣄⠀⠉⠈⠐⠃⠄ ⣿⣿⣿⣿⢿⣻⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⢀⠹⣄⠙⣄⡀⠀⠀⠜⢢⠳⣾⣿⣿⣿⣿⣿⣷⣯⡷⢭⡷⣯⢿⣯⣿⢾⣯⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⠀⠀⠉⠢⠈⢦⡀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⢱⡙⢧⡈⠻⣦⣄⠘⠀⠠⠀⠈⠁⠀⠀⠀⠀⠀⢌⢧⡻⡽⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣷⡄⠀⠀⠃⠈⣷⡀⠀⠀⠀ ⣿⣿⣧⣿⣿⣧⣿⠟⠀⠀⠀⣠⠀⠀⢀⣠⠀⠀⢿⠛⠻⢤⡘⠻⣤⡀⠀⠀⠀⠀⢀⣀⣠⣤⡼⣼⢧⣿⣻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⡄⠀⠀⢀⠸⡇⠀⠀⠀ ⣿⣷⡿⣿⣽⠟⠁⠀⣠⡏⢰⡇⠀⠀⢸⣿⠀⠀⠘⣧⠤⠄⠙⢶⣌⠛⢶⣤⣶⣶⣿⣾⣿⣯⣟⣯⣿⢷⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣳⢯⣿⡄⠘⠤⢂⠙⢦⡀⠀ ⣟⡾⣽⠟⠁⠀⠀⢠⡿⠀⣾⡇⠀⠀⠹⢿⣀⣤⡀⠙⢆⡰⣳⣦⣈⡛⣶⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣟⣿⣿⣿⣿⣿⣿⣷⢫⣞⢿⡃⠄⢂⠀⢣⢳⡀ ⣯⡟⠃⠀⡰⠀⠀⣿⠃⢸⣿⡇⢀⠀⡀⠀⠈⠻⢿⣷⣮⠵⣹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣷⣿⣿⣟⡿⣷⣿⠿⣝⡷⣎⠲⣅⠀⠀⠈⠀⠡⢓ ⠋⠀⣀⠔⠁⠀⢀⡇⠀⣾⣿⡄⠈⣆⠘⡀⠀⠀⠀⠹⢿⣿⣿⣟⣯⣙⣌⣙⡻⢿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⡿⣿⢯⣟⣿⣿⡿⣿⡽⣾⣽⣻⣿⡹⣌⢳⣍⡒⠈⠄⠀⠀⠀⠀⠈ ⠀⠀⠀⠠⣆⠀⢸⠀⢠⠿⣿⡇⠀⢸⣧⠑⢦⠀⠁⠀⠀⢈⠛⢿⣿⣽⣶⣯⣽⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣯⣿⣻⣞⡷⣿⢯⣟⣷⢳⣿⣯⡕⢎⠲⡡⠌⠐⠠⡀⠀⢀⠀⠀ ⠀⠀⠀⠀⠈⢆⡇⠠⠊⠀⣿⡇⠀⠀⣿⡷⣄⠳⣤⠀⢠⠀⠀⠀⠘⠻⠿⣿⢿⡿⠟⢉⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⣟⣾⢿⣽⡻⢾⡭⣟⣿⡗⢮⡡⠂⠑⣂⠀⡲⢱⠀⠄⡁⠀ ⠀⠀⠀⠀⠀⠀⠱⡄⠀⠀⣿⣷⠀⠀⢸⡷⠜⢧⡈⠂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡾⡽⢧⠿⣜⣿⡟⢢⠑⡤⠘⢤⠣⢌⢣⠘⠠⠀⠂ ⣾⣦⡀⠀⠀⠀⠀⢙⣦⠀⣿⣿⠀⠀⠀⠀⠆⠐⠛⣦⣄⠠⣄⠀⠰⠀⠀⠀⠀⠀⡐⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢯⡿⣷⣿⣻⠯⣷⣎⡿⡍⢦⡙⠴⡁⠎⣇⠫⢄⠊⢀⠁⠀ ⠀⠀⠉⠲⣭⣯⣿⣾⣿⣷⣽⣿⡀⠀⠀⠀⠁⠀⣨⡇⠸⣷⣄⠁⠄⠀⠀⠀⠀⠀⢠⣿⣿⣿⡿⣟⢿⣿⣿⣿⣿⣿⣿⡣⢿⡱⢎⡝⠻⠶⣾⡽⣙⠦⡙⠤⠃⢘⠀⢳⡈⡐⠀⠀⠀ ⠀⠀⠀⠀⡿⢿⣿⣿⣿⣿⣿⣿⣇⢠⠐⡁⢰⣿⠿⡷⠀⠹⡙⣶⣄⡀⠀⢠⡄⢀⣾⡿⣟⢣⠟⡼⢫⣿⢿⣿⣿⣿⡿⣿⣷⣏⠂⢜⡱⣌⡄⢣⣝⠂⡉⠒⡁⠀⠀⠂⠐⠈⠀⠠⠀

+81⛔��retal 2 trap ”.seitnap reh srewol ehs”ylduol snaom ehs“ ~hhha-a glub sih fo pot no bmilc ot uoy gniwolla kcab syal eh”ezahg ytsul sih hctac seye reh dna nihc reh stfil eh”lrig doog”..yddad-ad esaelp sey-y”~?nuf emos evah annaw elihw elttil a rof emoh eb tnow mom wonk uoy“ ko-o sti on-n ynroh gnitteg ruoy deciton eh uoy eiteews yrros tihs ho pmub gniglub sih ta gnihsulb uoy seciton eh”strohs raewrednu dna pot porc thgit a gniraew ruoy”uoy fo thgis eht ta drah gnitteg seh eciton uoy~yddad ih”~eiteews yah“ thgis sih ta hsulb uoy sbba sih gniwohs tsehc sih tsniaga sparts trihs sih”dad uoy derimda syawla evah uoy“ tsul htiw uoy ta gnikool dad pets toh uoy dnif ot pu ekaw uoy ~dad pets p; evael ti ekil tnod u fi yrots nrp

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⠀⠀⠀⠀⠀⠀⣼⣿⡿⣹⡿⠏⡟⠙⠏⠉⠉⡿⢩⣿⡿⢋⡜⣩⣾⡟⠁⠀⠀⠀⣠⢨⠏⠃⠁⠀⠀⣿⣽⣯⡌⣿⢉⣻⣿⣯⣇⢹⣆⢿⣿⣿⣧⠙⢭⡉⠙⢿⣷⣿⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⣿⠁⢩⣹⣸⠀⠀⠀⠀⠸⠇⣾⠛⣣⣾⢞⣿⣿⢃⣴⠃⢀⡼⠁⣼⠀⢸⡀⠀⣸⣷⡿⣸⠇⣿⡞⣯⣿⣿⣿⡄⢿⣼⡏⠈⢿⡄⠀⠙⣄⠀⠻⡇⢻⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡏⠀⡞⠇⡇⠀⠀⠀⠀⠀⢰⠇⣴⣿⢡⡞⠉⠁⠈⠁⣴⠟⣀⢠⡇⢀⣟⡇⢀⣿⣿⢇⡟⠀⣿⡇⢹⡏⢟⣿⡇⠸⣿⣷⠀⠘⢿⠙⢦⣙⡄⠀⢹⡄⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⢫⠁⢰⣸⣸⠀⠀⠀⠀⠀⠀⣎⣼⣿⠋⠀⠀⠀⠀⣠⣾⡇⢠⠏⣿⠀⠈⡇⠀⣼⡿⡿⢸⠇⢰⣿⠇⡘⢦⠘⠛⣿⠀⣿⡟⠀⠀⡟⡀⠀⢻⣿⡀⢀⣷⡏⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⢸⠀⣾⡇⡏⠀⠀⠀⠀⠀⢸⡿⡳⠃⠀⠀⠀⢠⣾⠟⡹⢡⣾⣰⡟⠀⠀⠀⢰⣿⣹⠃⠀⠀⢸⣿⢸⣧⠈⢣⡀⢸⡄⢸⡇⠀⠀⢣⣇⠀⢀⢻⣿⣿⣿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⣇⡇⢀⣟⢱⠁⠀⠀⠀⠀⠀⣼⡷⠃⠀⠀⢀⣴⡟⠁⡼⣡⡟⣸⣿⠇⠀⠀⢀⡿⢃⡟⠀⠀⠀⡌⣿⢸⣿⡀⠈⢷⡈⡇⠈⣧⠀⠀⢸⣿⡄⠘⣆⢿⣿⣯⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⢸⣿⣿⠀⠀⠀⠀⠀⢀⣷⠃⠀⢀⣴⡿⠃⢀⣼⣿⠏⡼⣿⣿⠀⠀⠀⠸⠃⣿⠀⢰⠂⢠⡇⡿⠸⣿⡇⢀⠈⣿⡇⠀⣿⠀⠀⢸⢻⣿⣄⡸⡌⣿⢸⣦⠀⠀⠀ ⠀⠀⠀⠀⢰⡏⣤⣾⡇⡏⠀⠀⠀⠀⠀⢸⠃⠀⣠⡾⠋⠀⣠⣾⣿⢋⡜⠠⣿⡟⠀⠀⠀⠀⣼⠇⠀⣾⠀⠸⣼⡇⣧⣫⣿⡜⣆⠸⡇⠀⢹⠀⠀⢸⣸⠋⠀⣷⣷⣽⣼⠆⠀⠀⠀ ⠀⠀⠀⠀⣾⡽⠁⡏⣇⡇⠀⠀⢸⠀⠀⢸⣠⡾⠋⠀⣠⣾⣿⣿⣡⠎⠀⠘⣿⠃⠀⠀⠀⣰⡟⠀⢰⡟⢀⣧⣧⣿⣇⣹⣿⣿⡜⢆⡇⠀⢸⠀⠀⢸⡿⣿⠛⢻⣿⡿⠋⠀⠀⠀⠀ ⠀⠀⠀⣸⡿⡇⢠⡇⣿⠀⠀⠀⢸⠀⠀⣼⠉⣀⣴⣾⣿⣿⢿⣿⡿⠛⡶⢤⣿⠀⠀⠀⣰⡿⠀⢀⣿⡇⣼⠥⣾⡿⠷⠦⢽⣿⣿⡌⡇⠀⠸⠀⠀⡈⡿⡜⡀⢘⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⢠⡟⠀⡇⣸⡇⣿⠀⠀⠀⢸⠀⠀⡿⠊⣱⣿⣿⣟⡕⠁⠉⠛⠲⣌⢲⡏⠀⠀⣰⣿⠃⠀⣾⣿⣰⡷⠊⣹⣇⠀⠀⠘⢷⣙⣿⡇⠀⠀⠀⠀⡏⡇⢹⠇⣾⣿⡇⠀⠀⠀⠀⠀ ⠀⢀⡞⠀⢰⡇⣿⡇⣿⠀⠀⠀⢸⠀⠀⣧⣿⣿⣿⣿⣿⣯⣭⣷⣶⣤⠀⣿⠁⠀⣰⣿⠃⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣷⣷⡼⣼⣿⡟⡇⠀⠀⠀⠀⠀ ⣾⣿⠁⠀⢸⣇⣿⣷⢻⠀⠀⠀⣼⠀⠀⣿⡿⠋⠸⠿⣿⣿⣿⣿⣿⣦⠉⡿⢀⣼⢫⠋⠀⣰⣿⣿⣿⠟⠋⡽⠁⢛⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣼⢿⠇⣿⣿⣿⣇⡇⠀⠀⠀⠀⠀ ⣿⣧⠀⠀⣼⣿⣿⣿⢸⠀⠀⠀⢹⡆⠀⣿⣷⣦⣄⡻⣏⡭⠿⣭⡿⠀⢠⣧⣿⠃⠋⠀⣰⣿⣱⣿⡿⠑⡼⢧⣀⣘⣯⣟⣋⣿⢿⣿⡇⢀⠀⠀⡿⡟⣰⣿⣿⣿⣿⢳⠀⠀⠀⠀⠀ ⣿⣿⡀⠀⣿⣿⣿⣸⠸⡄⠀⠀⢸⡇⠀⡇⠈⠁⠋⠉⠉⠉⠉⠀⠀⠀⣸⡿⠁⠀⠀⣴⣿⣵⣿⣿⢃⠜⢁⡏⠀⠈⠉⠉⠉⠉⠁⢸⡇⢸⠀⠀⡗⣷⣿⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀ ⣿⢻⣧⢀⣿⣿⣿⡟⠀⣧⠀⠀⢸⣷⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀⣼⣿⠟⣾⢟⡟⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣸⠀⠀⡗⣿⣿⣿⣿⣿⣿⡎⡇⠀⠀⠀⠀ ⣿⠸⣿⣿⣿⣿⣿⡇⠀⢿⠀⠀⠀⣿⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⢀⣾⣿⢋⣼⠋⣼⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⣿⠀⠀⣇⣿⣿⣿⣿⣿⣿⣧⢃⠀⠀⠀⠀ ⣿⠀⣽⣿⣿⣿⣿⣣⠀⡿⡇⠀⠀⣿⡆⡇⠀⠀⠀⠀⠀⠀⠀⢀⣾⡎⠀⣠⣿⣫⣾⠟⠁⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⣿⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣼⡀⠀⠀⠀ ⣿⣼⠏⢻⣿⣿⢿⠇⠀⡇⣿⠀⠀⢻⣧⢿⠀⠀⠀⠀⠀⠀⢠⣾⡟⠀⣴⣿⣿⡿⠋⠀⡰⢡⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢸⣿⠀⢰⢿⣿⣿⣿⣿⣿⣿⡏⢣⡇⠀⠀⠀ ⣿⡇⠀⠸⣿⣿⡾⠀⠀⡇⢹⡆⠀⠸⣿⣼⣷⡀⠀⠀⢀⣴⣿⡟⣠⣾⠟⡻⢻⣶⣤⣼⣷⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣾⣿⠀⢸⢸⣿⣿⣿⣿⣿⣿⡇⠀⢻⠦⡀⠀ ⣿⣿⡀⣨⠟⣿⡇⠀⠀⣇⠀⣿⠀⠀⣿⣿⣿⣷⡄⣠⣾⣿⣟⣼⡿⡣⠊⠀⠀⠙⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣠⣾⣧⣿⡏⠀⢸⣸⣿⣿⣿⣿⣿⣿⡇⠀⠀⢳⡌⠒ ⣿⣿⣿⡇⢸⣿⠁⠀⠀⣿⠀⢸⡇⠀⢹⣿⣿⣿⣿⣯⣾⣿⣿⡯⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢼⣽⣿⢸⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠱⡄ ⣿⣿⡿⠀⢸⣿⠀⠀⠀⣿⠀⠀⣿⠀⠈⣿⣿⣿⣿⣿⣿⣿⡋⠀⠀⠀⠀⠀⠉⠉⣉⣉⡉⠙⠒⠂⠀⠀⠀⠀⠀⣠⣾⣷⣿⣿⡟⣾⣿⠁⠀⠀⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠈ ⣿⣿⡇⠀⢸⣿⠀⠀⠀⣿⡄⠀⠘⡄⠀⢹⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⣿⣿⠃⠀⣼⢻⠀⠀⠀⢸⣧⠀⠀⢳⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠀⣿⢸⠀⠀⠀⠸⣿⡀⠀⠈⠆⣧⠸⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⡇⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⣿⠇⠀⢀⣿⢸⠀⠀⠀⠀⣿⣧⠀⡆⠀⢹⡀⢿⣯⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⢷⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⣿⠀⠀⢸⢸⠘⡇⠀⠀⠀⢹⣿⡄⣧⠀⠀⣇⢸⢿⣷⣝⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⣿⠀⠀⢸⢸⠀⣷⠀⠀⠀⠀⣿⣿⣿⡄⠀⢸⡜⣧⡙⣿⣮⡹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⣽⣿⣿⣿⣿⡟⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⣿⠀⠀⢸⣾⡀⣿⣦⠀⠀⠀⠸⣿⣿⣷⡀⠀⢣⣿⣿⣮⡻⣿⣮⣙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣫⣾⣿⠟⢁⣿⣿⣿⡇⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⣿⠀⠀⠸⣿⡇⢸⣿⣧⠀⠀⠀⢻⣿⣿⣧⡀⠘⣿⣿⣿⣿⡌⠻⣿⣷⣬⡙⠻⢿⣿⣿⣿⣿⣿⠿⠛⣩⣴⣾⣿⠟⠁⠀⢸⣿⣿⣿⣿⡄⠀⢠⠛⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀ ⣿⠀⠀⠀⣿⢿⣌⣿⣿⣆⠀⠀⠀⢻⣿⣿⣷⡀⠘⣿⣿⣿⣧⠀⠀⠙⠻⣿⣷⣦⣄⣉⣉⣠⣤⣶⣿⣿⠟⠋⠁⠀⠀⠀⣾⣿⣿⣿⣿⣇⠀⢸⡧⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⣿⠀⠀⠀⢿⠈⢿⣿⣿⣿⣷⣀⠀⠀⠻⣿⣿⣿⣄⡸⣿⣿⣿⡆⠀⠀⠀⠈⠙⠻⣿⣿⣿⠿⣿⡛⠉⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⠀⠈⣿⢿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⢀⠄⠒⠬⢁⠤⠄⡀⠀⠉⠒⠄⣀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠘⠡⢊⣾⣦⠿⢷⣌⠢⡑⠢⢤⣤⣼⣮⡷⢄⣀⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠏⡐⢁⢪⢸⠁⠘⡦⡉⠳⣤⠀⠀⠙⢿⣯⡟⠫⢍⡙⠿⠀⠀⠀⠀⠀ ⢀⢠⣴⣾⠎⠀⡈⡆⠀⠀⠀⠘⡜⣄⠈⠳⡀⠢⡀⠙⢯⡳⢼⡇⠁⠀⠀⠀⠀⠀ ⠀⢹⣿⡿⢀⠀⠃⡇⠘⡀⠂⠀⣰⡘⠣⣑⠸⡄⠱⡘⡦⡭⠙⣦⠀⠀⠀⠀⠀⠀ ⠆⣶⡟⢡⠂⠀⢰⣰⡀⢑⣢⠀⠸⠔⣏⠈⠓⢔⠀⠈⡴⡹⣦⡜⢷⡀⠀⡀⠀⠀ ⡻⠕⢳⡇⡄⠀⣿⣤⣵⣦⡈⢗⢄⠆⢀⡶⠚⠓⡇⡆⡛⡗⠻⣿⢿⣿⡃⡇⢰⡄ ⠀⠀⣇⣧⢣⠀⢹⡋⢫⡿⠇⠀⠀⠁⠀⠀⠀⠀⣣⠓⠇⢰⣺⢾⣮⣿⣷⣶⣿⣤ ⠀⠀⠋⡇⣎⠧⡈⠪⣢⣀⠀⠀⣀⠠⠤⡄⠀⢈⣧⡇⣧⢸⢸⣽⡆⠈⠙⠛⠛⠉ ⠀⠀⢀⢇⢳⢸⣎⠳⣌⢦⣀⡀⠑⠠⠊⢀⢔⣻⡿⡞⢹⡾⣾⠁⠉⠂⠀⠀⠀⠀ ⠀⠀⠈⡘⠀⣧⢡⡑⣬⠻⣿⣿⣷⣶⣶⣿⣿⡿⠇⠁⠀⠁⠁⠀⠀⠀⠀⠀⠀⠀ ⣄⠀⣀⡄⠀⠹⡄⢧⠘⠀⡿⣸⢽⠿⠿⠿⠛⠉⠁⠠⠀⡀⡄⠀⠀⡠⠂⠀⠀⠀ ⠹⡲⣍⠀⣀⣶⠙⣸⠸⡸⣱⢯⠋⠀⢀⠂⠀⠀⢖⡅⡇⡷⡱⡤⠪⠅⠀⠀⠀⠀ ⠀⠐⢄⠙⠚⢼⡀⠈⡟⠁⣼⣋⢷⣦⣬⣤⢴⣚⣽⠮⢳⠖⠉⠐⠀⠀⠀⠀⠀⠀

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

⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⠟⠉⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠟⠀⢸⣿⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡇⠀⠀⠀⢀⣀⣤⣴⣾⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⣿⣿⣿⠋⠀⠀⠸⠃⢸⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡇⢀⣤⣶⣿⣛⣛⣛⣽⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⡆⠀⠀⠀⠀⣸⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⣿⣇⠀⠀⠀⠀⣿⡛⠛⠿⣷⡀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢿⣿⣿⣿⠀⠀⠀⣰⣿⣷⡀⠀⠀⠉⠀⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣄⡀⠀⠀ ⠀⢸⣿⣿⣿⠀⣠⣾⣿⣿⣿⣷⡀⠀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⡟⠛⠉⠉⠉⠉⠉⠉⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⠉⠛⢿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣄⣠⠾⢿⡿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⣿⡏⢻⣿⣿⡟⠉⠀⣀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡏⠙⠉⠉⠋⠉⣻⣿⠛⠛⠛⠛⠛⠿⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⢛⣿⣿⣇⣴⠿⣿⣇⣴⠛⠉⢹⡏⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠈⡇⠀⠀⠀⠀⢠⡟⢹⣆⠀⠀⠀⠀⠀⠈⣿⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣥⠶⠛⠛⡏⠀⠀⣸⠀⠀⣴⠀⠀⠀⠀⢀⣴⠏⠀⠀⠀⢷⠀⠀⠀⠀⣸⠁⠀⢻⡄⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀ ⠀⠀⣼⣿⣿⡏⠀⠀⠀⠀⣿⠀⠀⡏⠀⣰⢻⠀⠀⠀⣠⣾⠁⠀⠀⠀⠀⢸⠀⠀⠀⢠⠇⠀⠀⠀⢷⡀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀ ⠀⢠⡿⠀⠻⣧⡀⠀⢰⠛⡿⣇⢰⡇⢰⠇⢸⡀⢀⣴⣿⣿⣷⣤⡀⠀⠀⠸⡇⠀⠀⡟⢀⣀⣠⣤⣾⣧⠀⠀⣆⠀⠀⠀⢹⡄⠀⠀⠀⠀ ⠀⣾⠃⠀⠀⠘⢿⣄⣏⣼⣿⢿⣿⢀⡏⠀⠘⣧⣾⣿⣿⣿⣿⣿⡿⠂⠀⢠⡇⠀⣼⣿⣿⣿⣿⣿⠏⢹⡆⠀⣿⣷⡀⠀⠀⢷⠀⠀⠀⠀ ⣾⠃⠀⠀⠀⠀⠀⠻⣿⣿⣿⣾⡿⢸⡇⠀⠀⠉⠀⠉⠈⠁⠈⠙⠁⠀⠀⠻⢷⣰⣿⣿⣿⡟⠁⠀⠀⣸⣿⡀⢻⠈⠿⣧⡀⠘⡇⠀⠀⠀ ⠃⠀⠀⠀⠀⠀⠀⢀⣿⢿⣿⢹⣧⡟⣧⠀⠀⠀⠀⠀⠀⢠⠤⢤⣀⣀⠀⠀⠸⠛⠳⠶⠗⠃⠀⠀⢰⣿⡿⣇⢸⠀⠀⠘⠙⢶⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠙⣿⣏⠀⣿⣇⠀⠀⠀⠀⠀⠀⠉⠙⠋⠈⠹⣷⡦⠀⠀⠀⠀⠀⠀⣰⣿⣿⠇⢻⣼⡀⠀⠀⠀⠀⠙⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⡏⠀⠀⠀⠈⠻⣿⣿⣿⣆⠀⢤⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⠀⠘⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡼⢻⠀⠀⠀⠀⠀⠀⠘⢿⣤⣿⣧⡀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠒⠦⠀⢀⣴⣿⣿⣿⢿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡜⢁⡿⠀⠀⠀⠀⠀⠀⠀⠈⠻⣏⣸⡛⢦⣄⠀⠀⠀⠀⠀⠀⠀⢀⣤⠾⣿⣿⣷⣼⣿⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⢠⠟⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠿⣿⣇⠘⠻⣷⣦⣄⣠⣤⠶⠞⠋⣠⢾⣽⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⢀⣤⠶⠋⠁⠀⠀⠈⢿⣷⠤⣀⣉⣀⣀⣠⡤⠶⣛⣵⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣴⠃⠀⠀⠀⠀⣠⠞⠋⠀⠀⠀⠀⠀⠀⠀⠈⢻⣶⣦⣤⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⡾⠁⠀⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⢠⡏⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡿⣿⡿⢿⡟⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⣿⣿⣾⣇⣿⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡿⢿⡿⣿⢿⡿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⢸⡇⠿⢸⣷⡘⣿⡟⠷⢸⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠰⣶⣄⠀⠀ ⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⡀ ⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠸⠇ ⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠛⠋⢿⣿⣶⣶⣲

!ᵤₒᵧᵏᶜᶸᶠ!ᵤₒᵧᵏᶜᶸᶠ⚨⚢⣾⠀⠀⠀⠀⠁⣛⣾⣤⣶⣻⣯⠹⠀⠀⡄⢻⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣌⣷⢈⠀⠀⠀⠀⠁⠉⣛⠚⠶⠤⣤⣤⣀⠀⠀⡀⣀⣀⣀⣤⣀⣄⢤⡶⣛⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠁⠟⣴⢀⠀⠀⠉⡛⣶⣶⠻⠈⠀⡀⢷⠙⡆⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⠦⣶⢶⠶⠶⡤⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡋⣶⢿⠾⠳⠛⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠉ ⢸⠀⠃⣾⢀⠀⠉⠞⣴⣀⠀⠀⠀⡀⣤⠳⠉⡀⣷⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠉⠉⠉⠉⠋⠖⡴⣀⠉⡄⢹⠀⠟⣰⣏⣾⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠉⠛⠛⠿⠿⡿⣿⣿⣿⣿⣿ ⢿⠀⡿⢀⠀⠟⣫⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢦⠳⣝⣷⢿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠛⡾⣴⣤⣠⣃⠚⠶⠲⠛⠈⠏⣿⠀⣇⡟⣱⡾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠻⠓⠛⠛⠛⠛⠉⠉⠉⠋⠛⠛⠛⠛⠛⠚⠖⠶⠶⠤⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡀⣷⢸⠀⡞⢇⢰⠀⠀⠀⠀⠋⠘⠛⠛⠀⠀⠀⠀⣀⣤⣳⣝⢿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⡴⣤⢠⠀⠀⠀⠀⠀⠀⠀⠀⡀⣇⣀⣄⢶⡟⣳⡾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠀⠀⠀⠀⣾⣾⠀⠀⠀⣇⣿⣿⣾⣠⠀⠀⠃⣽⣿⢀⠀⠀⠀⠀⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⡄⢿⡇⢠⣸⠀⠁⠞⣭⢻⣶⢠⡄⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⢿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡿⣷⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡿⡤⢦⠟⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⢰⠀⠀⠀⡇⢧⢸⠀⠀⠀⠀⣷⣠⠀⠀⠀⠃⣿⣾⣯⢰⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⣧⣏⠀⠁⠟⣿⡴⣡⠋⠀⠽⣠⢧⠀⠀⠀⠀⠀⠀⡄⢹⠀⠀⣷⣷⢻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠟⡾⣴⢀⡄⢳⠙⠉⠀⠀⠀⠀⠀⠀⠀⠁⠉⣫⣿⠛⠛⣿⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠛⠀⡟⣼⠀⠀⠀⠀⡞⡟⠀⠀⠀⠀⠀⡆⢸⠀⠀⠋⣷⣾⢃⣾⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⡀⣿⠀⡿⣴⢀⠇⣠⣅⢸⣦⠹⡄⢸⠀⠀⠀⠀⠀⠀⣧⠘⠀⡆⢸⣧⢿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⣶⣀⠀⠀⠀⠋⡾⣠⢀⣀⣄⢤⠤⠯⠽⡭⣭⣉⣋⠛⠛⠟⣿⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢣⢸⡏⣼⠀⠀⠀⠀⠃⢳⢹⠀⠀⠀⠀⠀⠀⣿⠃⡿⢿⣴⠟⣴⢀⠀⠀⠀⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⡇⢿⣳⡿⢸⡇⠘⡇⠀⠀⣇⠈⢻⠀⠀⠀⠀⠀⠀⠀⣧⠈⠀⣷⡘⣧⣿⠳⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠟⣿⢶⡴⣧⣿⠾⡶⣤⣤⣤⠤⠶⣷⢹⠀⠁⡾⣿⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢰⡞⠇⣾⢀⠀⠀⠀⠀⣾⡾⣆⠙⠀⠀⠀⠀⠀⡇⡟⣽⢟⡾⣠⠀⠀⠀⠀⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⡇⣻⣸⣿⠀⡄⢸⡇⠸⠀⡀⢹⡇⠈⠀⠀⠀⠀⠀⠀⡀⢹⠀⡇⣷⡏⣞⡹⣷⣤⠶⠛⠛⠛⠛⠒⠒⠶⠦⣿⣙⣀⠀⠀⠃⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⣧⠛⡾⢏⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣾⡂⢋⣾⢀⡟⠀⠀⠀⡏⢧⢰⠉⣾⠀⠀⠀⠀⠀⡇⣼⣀⣟⠀⠀⠀⠀⠀⠀⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⡀⣼⢧⣿⠀⠀⢿⠀⢻⠉⠋⣼⡄⢸⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⡀⢿⣄⣿⡜⢹⠇⣿⠀⠀⡀⢷⠈⠀⠀⣄⣿⢮⠙⠋⣼⡿⢀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣴⠃⣽⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢁⡿⣼⢀⠏⣰⠀⠀⠃⣹⣾⡴⣀⠀⠀⠀⠀⠀⠀⡇⢻⡷⢸⠀⠀⠀⠀⠀⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⢸⡄⣿⠾⠻⡇⠸⡀⣅⢸⢻⠖⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡇⢸⣦⣿⣏⣿⢸⠀⠀⠀⡀⢧⠘⠀⠀⡀⢷⡘⣠⠃⣸⠀⠀⠀⠀⠀⠀⠀⠁⡟⣻⠈⡿⣏⢠⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⡿⢰⡾⣠⠟⡿⢸⠀⠀⠁⣾⡾⢀⠀⠀⠀⠁⠋⠺⠀⠀⡇⢸⡇⢠⠀⠀⠀⠀⠀⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⢿⡇⢨⠁⣼⡀⢤⡤⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢷⣿⠀⣿⣹⣿⢸⠀⠀⠀⠀⠀⣆⠹⠀⠀⠀⣧⠘⡟⢦⠻⠉⠀⠀⠀⠀⠁⣼⣀⠀⣇⢻⣸⠀⠀⠉⠚⠷⠿⠶⣤⣠⣀⢇⣸⡟⢠⠀⠀⣶⢀⠀⠀⡏⣿⢠⠀⠋⠞⠵⣼⣏⢀⠀⠀⡇⢸⡼⠀⠀⠀⠀⠀⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⣧⡄⢻⡾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠹⡀⣿⣿⠀⠀⠀⠀⠀⠀⠀⣏⠹⠖⠤⠠⣧⣼⠀⠀⣀⣤⣤⣤⣤⣇⢈⠀⠀⣿⡇⢰⠀⠀⣀⠁⣿⣼⠀⠀⠀⠃⣼⡏⣿⢰⠀⠀⠀⠃⠘⠃⣿⢻⠖⡾⢠⠀⡇⢸⣿⠀⠀⠀⡇⢷⢰⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⡇⠈⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⣧⡈⣷⣿⠙⠀⠉⠛⠞⠴⣤⣀⣇⠘⠀⠀⡀⣧⠙⠀⠀⠀⠏⣿⢿⡀⣦⠶⡿⣸⣿⠀⠀⠀⠁⡿⣾⢀⠀⠀⠀⡾⣏⣿⣰⠀⠀⠀⠃⣿⢛⣿⣰⢀⡇⢠⠀⠀⡇⢸⣿⠀⠀⠀⡟⣾⠀⠀⠀⠀⠀⠀⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⡀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡛⠀⠀⠀⡏⢠⠇⢸⣄⣠⣀⠀⠀⠀⠀⠀⠀⣧⠘⠀⠀⠀⣧⣽⣤⣯⣿⣿⣿⣽⣿⣾⣿⠀⢻⠀⠀⠁⡿⣿⢀⠀⠀⠀⠀⠏⣿⣼⠀⠀⠀⠁⡿⣿⣿⣿⠀⠀⡇⠀⠀⠀⠃⣿⢠⠀⠀⠀⣿⢠⠀⠀⠀⠀⠁⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⣰⡀⢷⠉⡾⣠⠀⡇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⠘⠀⠀⠁⣟⣴⣀⢀⠉⠈⣀⣄⣿⣾⠉⣍⠻⠁⡿⣿⢠⠀⠀⠀⠀⠏⣿⣾⢀⠀⠀⠃⡽⣿⣾⢠⣿⠀⠀⡇⠸⠀⠏⣻⣼⠀⠀⠀⡟⣾⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⡄⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣤⠳⡼⢀⠀⠀⠀⣧⠛⠖⠴⣤⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠙⠃⡾⢀⠀⠟⣠⣀⣃⣟⣾⣴⢀⣀⣀⠀⣷⣿⣻⠛⠉⠈⠀⠏⣿⣾⢀⠀⠀⠋⣿⣿⣷⢘⡆⢻⠀⠀⡟⢿⡾⣴⣠⢀⠀⠃⡾⣇⢠⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⡄⢻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠋⣴⠀⠀⠀⠀⠀⠁⣼⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣟⣼⠀⠀⠇⢸⠀⠀⣿⣿⠀⠀⠀⠀⠀⠃⣼⢀⠀⠀⣀⣄⢦⣶⣷⢛⠟⠾⣤⣠⢀⠀⡁⢼⠁⣼⠁⡿⣾⣠⠀⠀⠀⠁⠟⣴⠁⣾⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⡄⢿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣿⣰⠀⠀⠀⠀⠀⠀⡟⢠⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠁⠋⠛⠶⣤⣣⣾⠀⠀⠀⡿⢀⠀⠀⣿⡀⠀⠀⠀⠀⠀⡀⣦⠳⠙⠈⠀⠀⠀⠀⠀⣀⢀⠀⠀⠀⠀⠃⡾⢃⡼⢀⡟⣸⠀⠀⠁⠛⡿⣼⠀⠁⡞⢀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢃⣄⢶⠙⠈⠀⠀⠀⠀⠀⠁⣿⣰⠀⠀⠀⠀⠀⠀⡆⢴⠤⠤⠤⠶⣳⠉⠉⠉⠋⠛⠶⣠⢀⠀⠀⠁⡾⢀⠀⠛⡟⣸⠀⠀⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣤⠶⠛⠈⠀⠀⠀⠀⠁⠉⠛⠟⣼⡯⣿⠿⣾⢒⣴⠶⡤⣁⠞⣠⠀⠁⡾⢠⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⡆⢸⠀⡀⣤⠶⠛⠉⠀⠃⡿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠒⣗⢿⣿⣶⠀⠀⠀⠀⠀⠀⡿⢀⠁⠟⣴⢀⠀⠀⠀⣿⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣥⠭⠭⣭⣈⢃⡟⣿⣴⣤⣀⢀⠀⠀⠀⠀⠋⣴⢀⠀⠃⡾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⠀⠀⠀⠀⠀⣀⣿⠿⡿⢀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠛⡴⣠⡿⠟⣿⣴⢀⠀⠀⠀⠀⠀⠀⠃⢸⠁⡾⢠⠀⠀⠀⠀⠀⣀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⠁⣿⣭⣿⢠⠀⠀⠀⠀⠉⠛⠿⣤⢀⠀⠁⠟⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⢂⠶⠴⠠⠀⣀⣀⣀⢀⣋⣾⢶⠙⡏⣿⣼⢀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢿⡆⢹⠀⠁⠀⠀⠀⠀⠀⣿⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣿⣾⣠⡇⠙⠉⠋⠖⣥⣟⣴⡇⠸⠋⠞⣤⢀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢠⠀⠀⠋⠛⠀⠀⠀⠀⠏⣰⠀⠀⡟⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⢷⣟⡝⣨⠀⠀⠀⠀⠀⢠⢻⠈⠀⠀⠀⠀⠀⠀⠃⠛⠛⠛⠈⠁⠛⠋⣖⣼⢀⠀⠀⡀⣉⠛⡿⣨⢀⠀⠀⣷⣈⠀⠀⡇⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣸⠀⠁⡟⣼⡄⢻⠀⠀⠇⣲⠗⠷⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢷⠙⣀⣿⢿⠓⠛⠉⠋⠛⣟⣿⠻⠁⠈⠀⠀⠀⡇⢻⠛⡶⣷⣼⣶⣠⠀⢷⠙⠉⠟⣼⣀⣦⣸⣷⠻⠈⠁⡟⢹⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⡿⠛⠋⣿⣼⠀⠀⡆⢸⠁⣻⠞⡵⣼⠀⠀⠀⠋⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⠶⠶⣶⣶⠶⠶⣶⣤⣶⣶⠷⠿⠿⡿⣹⣏⡶⣰⢀⠀⠀⠀⠀⡀⣀⠀⣧⠈⠀⢸⡀⣿⣿⣴⠀⣄⢻⠃⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢸⠀⠀⡟⢧⠈⣁⡼⠀⠀⠀⠀⣷⡇⣷⠞⣤⢀⠉⠋⣻⢛⠚⠀⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠀⠁⠋⠀⡍⣬⣦⢶⠿⠺⠛⡏⣜⠳⢻⠀⡀⢠⠀⠀⠀⡀⣿⢻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠁⡾⢀⠀⣦⡶⢀⠀⠀⠀⠀⡆⣾⡆⠋⠞⣯⣞⣤⣁⠋⠖⣭⣂⠀⠀⠈⠀⠀⠁⠋⠔⣠⢋⠶⣠⠀⠋⠞⠉⠈⠉⠛⠻⠉⠉⠚⠐⠁⠛⡴⣀⠋⠞⣠⢋⡴⣡⠛⡴⢀⠋⣔⢦⣝⢦⠙⣿⠀⠀⠀⠀⠀⠀⠀⡄⠠⣀⣤⣠⣿⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠚⣷⡾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠞⣫⡾⣢⠝⡯⣚⠴⣀⢀⠀⠀⠀⠉⠚⡴⣡⠋⠴⣠⠁⠈⠀⠀⠀⠀⣜⡤⣛⠇⣸⣆⣹⠋⠶⣠⠁⠞⡴⢁⠛⡴⢁⠞⣠⢀⠋⡾⢩⡿⠾⣄⢿⣌⣿⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢻⡆⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⢟⣠⠲⡄⣰⢋⠞⡗⠾⡄⠋⠖⣤⣁⠛⡶⣠⢁⠛⡵⣻⢴⢠⠀⢠⠀⠋⠞⣤⣏⠀⠁⣸⢀⠋⡶⣠⠁⠞⣴⢉⠞⣠⠀⠁⡞⣫⡿⣾⣠⠀⠀⣿⣿⡿⠇⣼⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⠀⠀⠀⠋⣾⢤⠤⠤⣤⢶⠻⠒⣺⢛⠙⡭⣛⡭⣀⠀⠀⠀⠀⠀⡀⢀⠉⡟⢠⠀⡿⠞⣤⢀⠀⠄⣩⠉⡍⣩⠉⠉⠊⣒⠒⣒⠒⠗⠻⠐⠀⡞⣼⣷⣿⢠⣧⠀⠀⠀⠀⠀⠀⠀⠀⡇⢻⠙⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠇⣹⣇⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⠙⠀⡀⢾⠀⠀⠁⡾⢀⠀⠀⠀⠀⠇⢹⠃⠞⠤⠳⠘⣿⣄⠹⠀⠀⠀⠀⠀⠀⠀⡇⢠⠀⠀⣸⠀⠀⠀⠀⠇⣿⣡⣛⠶⠓⠈⣇⠸⠀⠀⠀⠀⣄⢻⠇⢸⣧⡿⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣁⣾⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠹⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢷⠘⢸⠛⠈⡇⣿⠙⠀⠀⠀⠀⡇⣿⣸⠀⠀⠀⣇⣿⢰⣿⠀⠀⠀⠀⠀⠀⠁⡾⠀⠃⡇⢀⠀⠀⠀⠀⣷⣿⣼⢀⠀⠀⣄⣿⢸⠀⠀⠀⠀⠀⣎⡿⢸⡀⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣴⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢻⣇⢻⡿⣿⡈⣤⠶⠓⠉⡌⣿⢶⠿⣿⠻⡿⣾⡏⢿⠰⠀⠀⠃⠚⠒⡾⢀⠀⠀⡆⢹⠀⠀⠀⠃⠛⣿⢿⠛⠿⠻⠟⣿⢰⠁⠉⠛⠶⣤⢏⣿⠀⠏⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣳⣿⣹⣦⣷⢿⠻⠛⠙⠉⡉⣯⣛⣛⢿⡿⣿⣾⣿⣭⠀⠀⡾⣀⣟⢰⠀⠀⠀⠀⣇⠙⠀⠀⠭⣮⣿⣿⣻⣛⣻⡖⣠⠀⠀⠁⠋⠟⡿⣷⣷⠃⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣼⢿⠛⡈⣄⣦⣶⣶⣶⣶⣶⣶⣴⣤⣁⠟⡾⣿⢮⡟⢠⠃⣸⠀⠀⠀⠀⠀⡟⣤⢷⠘⣿⢿⡻⣍⣶⣷⣿⣿⣿⣿⣿⣶⣴⣡⠙⣼⡇⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⡌⣷⣮⠻⠈⠀⠀⠀⠀⠀⠀⠶⣶⣶⣤⣤⣀⢷⣿⠀⡇⠸⠀⠀⠀⠀⠀⣸⠀⠀⣄⡻⣈⣀⣤⣤⢤⠀⠀⠀⠀⠀⠀⠁⡿⣾⢀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠃⠛⠉⠉⠀⡆⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢷⠈⣦⡹⣦⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢸⠀⠃⢸⠀⠀⠀⠀⠃⢸⠀⠀⠀⡀⢷⠈⠀⠀⠀⠀⠀⠀⠀⠀⠋⡽⣾⢀⠃⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⡟⣿⣿⣾⡗⢿⣿⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢷⠈⡄⢷⡙⣦⠻⠈⠀⠀⠀⠀⠀⠀⠀⡟⣿⢠⠀⡇⢰⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⡀⢷⠙⠀⠀⠀⠀⠀⠀⠟⣱⡾⢀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢹⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠇⣿⣿⣿⢸⡟⣿⣿⢷⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢷⠘⠀⣄⢳⠉⣌⠳⠈⠀⠀⠀⠀⡟⣯⣠⠀⠀⡇⠈⠀⠀⠀⠋⣰⠀⠀⠀⠀⠀⠀⡄⣽⢹⠀⠀⠀⠃⡾⢃⣼⢀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⡿⣿⣿⣾⠀⣿⣿⣿⡀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣷⣾⣶⢷⠿⠛⡟⢡⣸⡇⠀⠀⡀⢷⠙⠋⡴⢀⠀⠀⠀⠀⠀⠀⠀⠀⣧⡿⠾⠷⠿⣤⣯⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣿⣿⣿⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⡇⣿⣿⣿⢸⡇⣿⣿⣿⠀⡇⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠳⠈⣄⣶⣰⣇⢠⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⣦⣴⢁⡾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⣿⣿⣿⣿⠈⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⡟⣿⣿⣿⠀⡞⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠷⠙⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠁⠟⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢠⣧⣿⣿⣿⢻⠀⠀⠀⠀⠀⠀⠀⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⡇⣿⣿⣿⣸⠃⣿⣿⣿⣾⠸⢸⡄⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠳⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢻⡴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⣰⣦⡿⣿⣿⣿⣿⠈⠀⠀⠀⠀⠀⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠁⣿⣿⣿⣿⢀⡇⣿⣿⣿⢸⢻⢸⠀⣆⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⣰⠀⠀⡀⣧⣿⣿⣿⢹⠀⠀⠀⠀⠀⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢿⠀⠀⡏⣿⣿⣿⣸⠀⣿⣿⣿⣿⢠⡇⢸⠀⠀⣇⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⣰⠀⠀⠀⠀⠀⣇⣿⣿⣿⠈⠀⠀⠀⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢻⠉⣿⣿⣿⣿⢠⠃⣿⣿⣿⣿⠀⠀⣷⠀⠀⡇⣦⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⣰⠀⠀⠀⠀⠀⠀⠀⣷⣿⣿⢸⠀⠀⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣼⠀⡏⣿⣿⣿⣾⠀⠀⡀⢳⠀⢶⠐⡄⢷⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡾⢠⠀⠀⠀⠀⠀⠀⠉⠛⡟⣿⣿⣿⠀⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

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

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(‿ˠ‿) 👅💦𓂸( ͜ₒ ㅅ ͜ ₒ)εつ▄█▀█●lick my 🐱

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠉⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣾⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠈ ⡀⣀⣀⣀⣄⣤⣤⣿⣿⣿⢀⠉⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣼⢠⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰ ⠀⠀⠀⠀⠀⠀⠇⣿⣿⣿⣿⣿⣿⠻⠀⠀⠀⠀⠀⣿⣿⣿⣿⢹⠀⡇⣿⣿⣿⣿⣼⣤⣤⣤⣤⣤⢀⠀ ⠀⠀⠀⠀⠀⠀⡏⣿⣿⣿⣿⣿⣿⣿⢿⠿⠻⠛⠛⣿⣿⣿⣿⣿⠀⡇⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⡇⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣦⣿⣿⣿⣿⣿⣾⣶⣶⣡⣛⣝⣧⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⠘⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠋⠛⠛⡙⣈⣀⢀⠀⠀⠀⠀⣦⣿⣿⢿⣜⣷⣿⣿⣾⢠⡏⣿⣿⣿⣿⣿⢿⠀⠀⠀⠀⠀⠀ ⠀⠀⠟⣿⣿⣿⣿⣿⣿⠹⠁⡿⣿⣿⣿⣿⣿⣷⣿⣿⠻⣈⣀⠀⠁⣿⣿⣿⣿⣿⣿⣿⢠⠀⠀⠀⠀⠀ ⠀⠇⣿⣿⣿⣿⣿⣿⣿⣿⡀⣷⣿⣿⣿⣶⢀⠀⣦⣿⣿⣿⠹⠀⡟⣿⣿⣿⣿⣿⣿⣸⠀⠀⠀⠀⠀⠀ ⠀⠀⣷⣿⣿⣿⣿⣿⣿⣼⠀⠀⡀⣀⠀⠀⠀⠀⠀⣄⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣾⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣄⣶⣶⣶⣴⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣿⣿⣿⣿⣿⣿⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⣿⣿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⣍⣤⣤⣤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡿⣿⣿⣿⣿⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣿⣿⣿⣿⣿⣿⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣶⣿⣿⣿⣾⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠛⠿⠿⠿⠿⠻⠈⠀⠀⠀⠀⠀⠀⠀ ⠁⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠻⠛⠉⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠉⠉⠋⠟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⣧⠿⠙⠀⠀⠀ ⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡉⣿⣿⣿⣿⣿⣿⣿⣻⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⡟⣿⣿⢿⠘⠀ ⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⢿⡿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣡⠟⣿⣿⣿⣿⣿⠀ ⠀⡀⣤⣦⣶⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡗⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣤⣥⣋⠛⠟⣿⣿⣿⣿⣿⣿⣿⠰ ⠀⠀⠀⠀⠀⠃⠛⠛⠛⠛⣛⣖⣿⣽⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣤⣀⢀⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣼⡟⣿⣿⣿⣶⣩⣛⣛⣛⣙⣬⣷⣿⣿⣿⣟⣿⢿⠛⠟⡾⢀⠀⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢠⠀ ⠀⠀⠀⠀⠀⠀⣷⣿⣿⣿⣿⣿⣷⡿⣿⣿⣴⢋⣿⣿⣿⣿⣿⣿⠻⣆⣿⣿⣿⣿⣿⣾⣴⣀⠀⠀⠀⠀⡀⣦⣷⣿⣿⣿⣿⣿⣿⣾⣤⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⣿⣿⣿⣿⣿⡿⣼⢋⣿⣿⣿⣿⣿⣿⣽⡯⡴⠀⡀⣄⣶⣶⣴⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣀⣀⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣇⣿⣿⢠⠏⣿⣿⣿⣿⣿⣿⣿⣿⣠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⣷⢰⡇⣿⣿⣿⣿⣿⣿⣿⣾⢠⠏⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡄⠸⡇⣿⣿⣿⣿⣿⣿⣼⢁⡿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡙⣦⣶⣿⣾⣶⣡⠋⣿⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢶⠻⠛⠛⠿⣾⣽⣉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⣛⣿⣿⣿⣿⣿⣿⣿⠿⠛⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣦⣶⣿⣿⣿⣿⣶⣴⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠛⠑⠋⠟⠿⠻⠙⠀⠁⠋⠛⠛⠛⠙⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠀⠀⠀⠀⠀⡿⣿⣿⡿⣿⣿⣿⣿⣿⢿⡿⣼⣀⣀⣀⣿⢸⠀⠀⠀⠀ MUC EM EKAM YDDAD⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀⠀⣿⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⠉⣻⣛⣛⣿⣿⣿⣿⣿⣿⣿⣼⢠⠀⠀⠀⣇⣿⣶⣷⠻⠀ ⠀⠀⠀⠀⠉⠟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣠⠀⠀⠀⠀⠀⡇⣿⠀⠀⣿⠸ ⠀⠉⠁⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣠⠀⠀⠀⠀⠀⠀⠀⡇⣿⠘⠀⣿⢸ ⡟⣻⠿⠿⠿⣝⣮⣾⣴⣠⣀⡇⣿⠀⠀⠀⠁⠉⠈⠀⠀⠀⠀⠀⡇⣿⢸⠀⣿⢸ ⣆⣿⣿⣿⣶⣶⢴⠀⠀⠀⠀⡏⣿⠿⣿⣿⣿⣿⣿⢿⠻⠀⠀⠀⡇⣿⢀⠀⣿⢀ ⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠇⣿⣶⣶⣤⣤⣤⣤⣷⣿⣿⢸⠀⠀⡇⣿⠛⡟⣾⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⠙⠀⠀⠀⠀⠀⠀⣇⣿⢸⠀⠀⡿⣸⣀⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣿⢿⠿⠿⠿⡾⣶⣴⢀⠀⠇⣿⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣷⠻⠙⠉⠈⠀⠀⠁⠋⡿⢰⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣤⣤⣤⣤⣤⣠⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⡀⠈⠑⢆⠀⠀⠀⠀⠀⠰⡄⠀⠀⠀⠀⢲⡀⠈⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠱⣤⡀⠀⢳⣄⠀⢠⡀⠀⠱⡀⠀⠀⠀⠀⢳⠈⠳⢄⠁⣤⡤⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⣿⣝⣦⡀⢹⡦⡀⠙⢦⡀⢱⠀⠀⠀⠀⠘⣇⠀⠀⠻⣿⣉⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⠠⠀⡆⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀⢻⡏⠻⡗⡄⢳⠈⢦⡈⢟⠢⣇⠀⠀⠀⠀⢹⡄⠀⠰⣿⠛⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠇⠀⣇⢰⠀⠀⠀⠀⠀⢠⡟⠀⠳⠦⢼⣧⣄⣱⡼⡤⡧⠜⠿⣶⢷⠾⡤⠠⠀⠀⠈⡷⡄⠀⠹⣇⠀⠀⠀⠀⠀ ⠀⠀⡆⠀⡄⢸⣇⠀⣸⡆⠇⢀⣴⠃⢀⡞⠀⠀⡄⠀⢸⠀⠀⠀⢣⡸⡇⠀⠀⠈⢿⠀⠃⠀⠀⢸⠀⢸⠈⢂⠀⢿⡀⠀⠀⠀⠀ ⠀⠀⢧⠀⢇⢸⠙⡆⠸⣿⣾⠟⠁⠀⡜⠀⠀⡸⠀⣰⣼⠀⠀⣀⣤⣤⣵⣶⣶⠶⢾⣷⡀⠀⠀⡎⠀⠘⡀⠐⢆⠸⡄⠀⠀⠀⠀ ⠀⠀⢸⡆⠸⣼⠀⢸⡴⠟⢿⢣⡀⠀⠀⠀⢠⠃⢰⡿⣿⠀⠸⠛⢉⣿⠭⠷⠚⠁⠀⠀⡇⢸⢀⠃⠀⠀⡇⡄⠈⢳⣇⠀⠀⠀⠀ ⠀⠀⠈⣷⡄⢹⡖⠉⣧⠆⠈⢇⢙⣬⣠⠀⡌⢀⣞⠁⡏⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⣰⢇⡼⠂⢀⠄⢸⡗⣮⣦⡀⢫⠀⠀⠀⠀ ⠀⠀⠀⢻⣟⠀⢳⡀⢛⣠⣴⣿⡛⠛⠈⢻⡥⠯⢤⣉⡳⢄⡀⠀⠀⠀⠀⠀⠀⢀⡴⠗⠋⡇⢀⣾⠃⢸⡆⡇⢹⢻⣌⡇⠀⠀⠀ ⠀⠀⢆⠈⡎⠀⣠⣿⠿⢛⣩⠝⠛⠙⠀⡟⠁⠀⠀⡇⠀⠀⠈⠀⠀⠀⠀⠀⠐⠁⠀⠀⢰⢃⣾⡏⠀⣾⡟⠀⣾⡀⠉⢿⠀⠀⠀ ⡀⠀⠈⢢⠘⣄⡿⢁⡈⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⢿⠁⢰⡷⣧⡴⢩⠃⡀⡜⡀⠀⠀ ⠱⡄⠀⠀⠱⣜⣅⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⢸⢠⢋⠇⣼⠓⢼⣇⠈⣧⡄⠀⠀ ⠀⠙⣆⠀⠀⠈⠛⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⢸⠏⣸⠟⢸⡄⠀⠉⢦⠀⠀⠀⠀ ⠀⠀⢸⣦⠀⠀⠐⠢⢬⣓⣀⣀⣀⠀⠀⠀⠀⠀⠀⢰⣿⣷⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠈⢀⡟⠀⢸⢇⠀⠀⠀⠑⠀⠀⠀ ⠀⠀⣸⡙⠳⣜⣦⣄⡀⠈⠻⣄⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⠿⠛⠈⠉⣀⠹⣷⠀⠀⠀⠀⠀⢀⡎⢱⠀⣸⠘⣴⠀⠀⠈⠀⠀⠀ ⠀⠀⢿⡌⣦⣈⠻⡟⢌⢷⣒⠪⠓⠒⠄⠀⠀⠀⠀⢸⡟⠃⠠⠤⠔⠊⠁⠀⡟⠀⠀⠀⠀⢀⠞⠀⢸⠀⣟⣀⣻⣤⠖⠂⠀⠀⠀ ⠀⠘⣮⠈⠎⢆⠑⠻⠬⣿⣏⣳⣄⠀⠀⠀⠀⠀⠀⠀⠑⢄⣀⣀⣀⡠⠴⠊⠀⠀⠀⠀⣠⠋⠀⠀⠈⡄⢹⠿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⢆⠀⢸⠀⠀⠀⣠⡿⢆⡀⠉⢢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠖⠀⠀⠀⢀⡴⠁⠀⠀⠀⠀⣿⣼⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⣦⣀⡠⠔⠋⠁⠀⢸⣷⡀⠀⣧⡉⠓⠢⣄⣀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡞⠃⠀⠀⠀⠀⠀⢹⡇⠙⠆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⠓⠒⠒⠂⠒⠋⠛⠛⣇⢰⢿⣷⣄⠀⠈⠻⣿⣷⣶⣤⣤⣶⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⢀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⢀⠀⠀⠘⣎⡆⢿⡌⢦⠀⠀⠈⠙⠻⠿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡏⠛⠫⠤⢄⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⢸⡇⠀⠁⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠤⠤⣾⠇⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⠀⠀⠀⠇⣿⣿⠹⠀⠀⠀⠀⠀⠀ ⠀⣀⣀⣁⣋⣟⣿⣿⣿⣿⣴⢀⠀⠀⠀⡿⣿⣿⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠇⣿⣿⣿⣿⣾⣠⠀⠀⠀⠀⠀⠀⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⡆⣿⣿⣿⣿⣿⠘⠀⠀⠀⠀⠀⠇⣿⣿⣿⢰⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⣦⣿⣿⣿⣿⠻⠈⠀⠀⠀⡇⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⣿⢿⠟⣿⢻⣮⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⣿⣾⣠⣦⣿⡝⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⣦⣶⣶⣠⠀⠀⢿⣝⣩⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⠛⠿⠿⠻⠙⡄⣿⣿⣿⣿⢿⠿⠘⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡿⣿⣿⣿⣿⣿⠸⣷⣿⣿⣿⣿⣿⣿⠻⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣿⣿⣿⢠⡇⣿⣿⣿⣿⣿⣧⣿⣿⠙⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣠⢀⠀⡄⣿⣿⣿⣿⣿⠉⣿⣿⣾⢠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣿⣿⣿⣿⣿⣿⣾⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣼⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⣼⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣩⣉⠈⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⣿⣿⣿⣿⢿⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣶⣿⣿⣾⣴⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠂⠂⠀⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠠⠀⠀⠀⠀⠀⡀⠑⠁⠛⠶⣲⣔⡤⢦⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡐⠀⠀⠀⠀⠀⠀⠀⠀⠄⠰⢀⠀⠀⠀⠀⠀⡄⡞⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠂⠀⠄⠀⠀⠀⠀⠀⠀⠁⠂⠀⠀⠀⢙⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠅⠹⠀⠈⠀⠀⠂⠀⠁⠀⠀⡆⠄⠃⠐⠃⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠄⡐⠄⠀⠀⠂⡄⣠⢀⠅⠀⠒⢐⡊⠁⢓⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠦⠓⠈⠀⠀⠀⠁⠂⠂⠠⡠⣀⠀⠀⢆⠉⠣⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣅⠲⠀⡄⢀⠀⠀⠀⠀⠀⠀⠀⠀⡯⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠄⡀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠚⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠁⠂⠀⠠⡀⠀⠀⠈⠄⠀⠀⠀⠀⠊⠔⡠⠀⠁⠊⡤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠐⠀⠀⠀⡀⠀⠀⠈⠂⡀⠀⠀⠀⠁⠊⠄⡀⠀⠀⠀⠀⡀⣀⠀⠁⠒⡠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠊⠴⢋⠛⣄⠦⠑⠀⠀⠀⠀⠀⠀⠊⠂⠒⠀⠁⠚⡔⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡸⠁⠋⠒⠐⣀⠀⡇⠀⠀⠀⠀⠀⠀⠉⠂⠄⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡄⣲⠉⠉⠉⠁⠎⣂⠒⠒⠒⠒⡠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

⠀⠀⠀⠀⠀⠀⠀⠀⡄⣧⣿⣿⣿⢻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣾⣶⣷⢿⠻⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠈⠀⠀⠀⠀⠀⠀⠁⠉⠀⠀⠀⠀⠀⠋⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⢿⠿⠹⡶⣷⢿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠘⠀⠁⠋⠟⠿⠿⡿⢿⠿⠿⠿⡿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡄⣶⣿⠳⡈⣷⢿⠙⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢻⠀⡄⢻⣄⠙⣄⣿⠻⠈⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣠⣀⣀⡶⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⢸⠀⡀⢿⡼⠢⠙⡉⣦⠹⠁⠀⠀⠀⠋⡟⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠞⢠⠀⠀⠀⣠⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠈⠀⡄⣿⠟⠿⣿⣿⣿⣿⣿⣾⣶⣒⣷⣿⣶⣶⣿⣿⣷⣿⣿⣠⡠⣵⢀⠤⠀⠀⠀⠀⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⠙⠀⡆⣼⠉⠀⢀⠀⣀⢀⠀⠀⠁⠈⠂⠒⢁⣀⠉⠌⣿⣿⢿⠘⠉⠀⠀⠀⠀⠀⠁⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⠹⠀⣧⢸⠀⠀⠐⠀⠀⠐⠀⠀⢀⠀⠀⠀⠀⡄⣤⣤⣿⣵⡼⢋⠒⠔⠀⠀⠀⡆⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢳⠈⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣠⡖⢄⠀⠀⠀⠀⠀⠇⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⡎⢣⠙⠉⠉⠉⠉⠉⠉⠀⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣿⣿⣸ ⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣳⢖⡠⠀⠀⠀⠀⠀⠁⡞⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠙⠀⠀⠀⠀⠟⣿⣿⣾⠀ ⠀⣁⠉⠚⠧⣠⣈⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠔⠀⠀⠀⠀⠁⠟⣿⡿⣴⣤⢯⣴⣏⣿⣯⣿⣿⣿⣿⣿⠿⠁⠉⣿⣿⣿⢀⠀ ⠃⡴⣀⡀⢀⠀⠁⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠁⠋⠔⣫⡿⣿⣿⠶⣠⢀⠔⣽⣏⣿⣿⣿⣿⣿⣿⣿⣯⠏⣿⣿⣀⠀⠀ ⢠⠀⠀⠀⠋⡧⣰⢁⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠼⡠⣀⠅⢿⣿⣶⣠⢠⠃⡎⢻⣾⢘⣿⣸⣿⣸⣷⣽⣿⣿⣛⣯⢻⣿⠘⠀⠀ ⠀⠀⠋⡶⢀⣀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⠀⢸⠀⠃⡿⣴⢠⠀⠈⠛⠈⣏⢸⣗⢻⡆⢼⣿⢧⡇⢻⣇⣷⣧⣯⣿⣿⢹⠀⠀ ⠖⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡔⢀⠀⡇⠟⣿⢻⠈⠀⠃⢹⣏⢲⠀⣐⠂⣦⢰⣆⡎⣺⢚⣞⣿⡘⣿⣸⣴⣾⣴⠀⠀

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UOY KCUF OG ,UOY KCUF OG ⠉⠛⠟⡿⣿⣿⣿⣿⠿⠿⠿⠻⠛⠛⠛⠙⠋⠛⠿⠿⠿⠿⠿⠿⠿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠃⠿⣦⣺⣵⣮⣵⣾⣟⣷⣿⣿⣟⢯⣻⣷⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠞⣱⡜⢣⣑⠢⢄⡘⠦⣉⢦⣭⣶⣽⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠻⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⡿⢼⢣⡄⠘⠠⡐⠌⠠⢍⠂⢡⡘⢌⡲⣝⣶⣯⣵⣾⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⠈⠀⠀⠀⠀ ⠀⠀⠃⡾⢲⡈⢑⠥⡂⠄⠂⠁⢆⠂⢌⠂⠀⣁⠄⡁⠢⢌⡱⣎⢳⣼⣶⣮⣶⣿⣾⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠈⠀⠀⠀ ⠀⠀⡿⢎⢢⢁⠠⡐⠂⢁⠠⡘⠣⢄⠂⢀⠀⠐⠀⠀⠁⡐⠢⣍⠲⣈⠰⢁⠌⠂⣌⣱⢶⣍⣳⣽⣿⣟⣯⣷⣿⣿⣿⣿⣿⣿⣿⢿⠀⠀⠀ ⠀⠏⢴⢨⢐⠡⡀⠂⠁⠠⡐⠏⢡⡐⢉⠤⡘⡈⠐⢈⡐⡉⢢⢜⠢⢄⡀⠠⠄⢃⡄⠀⠀⡐⡜⡓⣤⢿⣳⣿⣯⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀ ⠀⢻⣻⠄⡘⠀⠀⠠⠀⠀⠀⣿⡀⠄⠀⠤⠃⢄⠠⠘⠄⠛⢤⡘⢃⣀⠄⠀⡀⠘⠀⠀⡠⠤⡘⠣⣄⠜⣣⢧⣧⡼⣿⣿⣿⣿⣿⣿⢿⠀⠀ ⠁⣼⠘⢢⠁⢀⠠⠀⠀⠀⠧⣸⠌⠂⢀⠡⠂⢀⠠⠀⢆⡑⠬⢂⡐⠌⠁⠄⠄⠁⠂⠁⡠⠌⠂⡀⠐⢢⣑⡬⡘⣦⣌⣶⣿⣿⣿⣿⣿⠈⠀ ⡇⡸⠓⢀⠠⠀⠀⠀⠀⠀⣾⠀⢃⠈⠠⡐⠀⠀⠂⡀⢜⡹⠆⢈⠡⠄⠈⡐⠀⠐⠨⢐⠡⠄⠀⠀⡀⠌⠂⠄⠁⢀⡐⢌⡠⣷⣿⣿⣿⢸⠀ ⡇⠵⡈⠌⡀⠀⠀⠀⠀⡿⢠⠐⢂⠁⣀⠀⠀⠐⠀⠄⣹⠜⢂⠄⠈⠠⠐⠀⡐⠌⠄⡈⠠⠐⠠⡀⠄⠀⢀⠀⠀⡀⠄⠂⢐⡪⣗⣯⣿⢻⠀ ⡜⢯⠐⢂⠀⠀⠀⠀⡟⢰⠊⠀⠀⠀⠀⠀⠀⠀⠀⡇⢺⡌⠐⢉⡐⠌⠀⠀⠀⠂⣁⠂⢀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⢀⡚⢍⡳⣏⣿⣿⠸ ⡇⢠⡑⠄⡀⠀⠀⡏⢹⠠⠐⠄⠀⠀⠀⠀⠀⠀⠁⡾⢧⡁⠤⠊⠄⠐⠀⠌⡁⠄⠁⠠⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠄⠳⢆⡹⢶⣿⣿⢸ ⡆⢵⠺⠈⠀⠈⠏⣴⠘⡠⠀⢈⠂⠀⠀⠀⠀⠀⠇⣼⢉⡠⠌⢂⡁⠀⠌⠁⠠⡘⠣⣹⠤⠀⠀⠀⠀⠀⠀⠀⠀⠄⡈⡑⠦⣍⡹⡶⣟⣿⢸ ⠀⠀⣀⡤⢤⠤⡷⣵⠂⢀⢀⠁⠠⠀⠀⠀⠀⠏⣲⠜⡈⠔⠂⢁⠠⠌⠁⠢⡌⠏⣼⢀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠃⢄⡘⢮⡝⡯⣳⣇⣿⢸ ⠀⠀⠀⠀⠀⠀⡟⣈⠱⠤⡀⠁⠀⠀⠀⠂⠇⣫⢤⠋⢀⡐⠌⠀⠡⠄⠈⠱⢏⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠄⠐⢣⢌⢮⡟⣿⢡⡟⣿⢀ ⠀⠀⠀⠀⠀⠀⢽⢆⡑⠠⢈⠠⠀⠀⠉⢃⣿⢂⢌⠐⢁⠂⠀⠄⠈⡐⠌⡑⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠉⠤⡘⠳⣌⢿⣾⢡⡟⣿⣰⠀ ⠀⠀⠀⠀⠀⠀⣿⡘⠡⠁⠁⠀⠀⠁⠋⣿⢄⠩⠀⠀⠀⠀⠀⠀⠄⠂⢆⡏⢰⠀⠀⠀⠀⠀⠀⠀⠂⠁⠠⠒⠤⡞⢁⣿⣿⠶⣵⣞⢠⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣄⣶⠳⠘⠒⠃⠾⣿⢋⣴⠀⠀⠀⠀⠀⠀⠀⢀⠀⢡⣞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢁⠤⢈⠡⣿⣤⡉⠏⡿⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⠃⢸⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⠀⠁⠐⡟⣽⢦⣡⣟⣿⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣲⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣩⠕⣊⡵⡳⣇⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠠⡟⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢋⡿⣼⡙⡸⠦⣙⡮⡗⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣺⢐⠀⠀⠀⠀⠀⠀⠀⠀⡀⠐⡏⣻⠉⠈⠀⠀⠁⠈⠨⠑⠱⢎⠡⡿⣧⡜⣎⠹⣖⢎⠳⣏⣾⢠⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠂⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣽⣾⣤⣦⠾⠛⠛⡝⣛⡿⡞⠼⣴⢀⢂⡄⠖⣂⡽⢟⣿⣴⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⣾⡜⠁⠓⠴⠊⢁⠁⡈⠀⠀⠀⠀⠀⠀⠡⢂⡁⢤⡿⣾⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡟⣿⡝⢎⡀⠘⠄⠑⢊⠄⠋⠁⠀⠈⠀⠀⡈⠁⢢⠙⡧⣼⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠏⢩⠠⠐⠀⠀⠀⠀⠀⠀⠀⠟⣴⡀⣤⣦⣶⢶⡶⣶⡶⠷⢻⣹⢻⢥⡜⡈⠱⠎⠁⠤⡓⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠃⣾⠀⠀⠀⠀⢢⠀⠀⠀⠀⠂⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣦⢳⣶⡍⢫⣭⠛⣬⡟⣾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⣼⠄⠈⠀⠈⠂⠀⠀⠀⠀⠗⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⢤⣤⠤⣴⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠃⣨⠱⢢⠓⢠⠐⠈⠂⠄⠂⡅⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠎⢠⢃⠲⠀⡈⣀⠆⠈⠐⢁⠣⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡞⢁⠼⣐⠀⠀⠀⠀⠀⡀⡐⠋⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠃⢉⠷⣈⠈⠀⠀⠈⠀⠂⠀⠣⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡄⡳⢮⢙⠈⡀⢀⡄⡐⢡⡖⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⢤⣒⢯⠉⡛⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ NAM UOY KCUF OG SIHT EKAAM UOY DNA SIJOME ECIN DNIF OT GNIYRT ERA SDIK SIHT EKAM T'NOD �🚫�⏹�� TI POTS

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sex👄𓂸( ๏ 人 ๏ )

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣶⣶⣶⣦⣤⣀⡄⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣷⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⡿⣟⡻⣿⣿⣿⣿⣿⣿⡟⠋⠉⠀⠀⠉⠉⠙⠻⣿⣿⣿⣧⢻⣷⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⠿⣟⠿⣭⢳⡝⣮⠵⡹⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣍⢻⢣⠞⣷⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⢻⣜⡻⣜⢯⢞⣣⢟⡼⢳⡍⢿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣣⢏⡞⡽⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⣭⡳⣎⣷⣽⠾⣽⣎⠿⣜⢧⢯⡹⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣎⡞⡵⣻⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣳⢭⣷⣿⣿⣿⡝⣧⢿⣿⢼⢳⠮⣕⣻⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡳⢎⡷⣹⢷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⢧⣛⢾⣿⣿⣿⣿⣿⣎⣿⡿⣎⠿⡼⡱⢎⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⢹⡲⣹⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⢮⡝⡾⢿⣿⣿⣿⣷⣾⢿⡝⣮⣛⡵⣋⣏⢎⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣇⡻⡔⣯⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⣧⢻⡽⢭⣛⢿⡻⣝⢮⡳⣝⢶⣹⣚⡵⣎⡳⢎⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⢆⡯⡕⣯⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡽⣚⢧⣛⢧⣛⢮⡗⣯⢳⢯⡝⣾⡱⣏⢾⣱⢫⢏⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⢮⡱⢏⣿⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⣜⢯⡳⣽⢺⡭⣗⣻⢼⣛⣮⢽⡖⡿⣜⡧⣏⡗⢯⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣯⢣⡝⣯⡏⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣶⢿⡻⣵⣫⢷⣝⡧⢿⣜⣳⡽⢮⣳⡽⢮⣝⣳⡝⣾⡱⣏⠷⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠋⠀⠀ ⠀⠀⠀⠀⠀⣠⣾⡿⣽⣳⢻⣵⢫⣞⡾⣹⡗⣞⡧⣟⢯⣳⡽⣛⣮⣳⢽⡲⣝⢾⡹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣾⣟⣯⡽⢧⣏⣟⡮⣟⢾⣹⣳⢽⣫⣞⣭⣿⣿⣿⣿⣷⣿⣣⢟⣮⢳⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⣿⣻⣼⣳⣽⣛⡾⣭⢟⡾⣝⣳⡽⣞⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⢮⣳⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣾⣿⣷⣿⣿⡷⣧⢿⣱⢯⡟⣾⣹⢧⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣞⢧⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠺⣿⣷⣿⣿⣟⢿⣱⢯⣟⢾⣽⣣⣟⡞⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢾⣼⣻⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠉⠛⣻⡿⣞⣯⢶⣛⣮⡽⣞⢿⣿⣿⣿⣿⣿⣿⡿⣟⢾⣛⣶⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣼⣿⣽⡳⣯⣻⡽⢾⣵⢻⣎⣟⣻⣛⡿⣝⢯⣳⢯⣏⣿⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣾⣿⣻⣾⣽⡷⣏⣿⢻⣞⣳⡽⣎⡷⣽⣺⢽⣫⡽⣾⣽⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⡿⣿⣧⣯⣿⣿⣟⣾⣻⡞⣷⣫⢷⡻⣵⢯⣞⣷⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠿⣷⣿⢾⣟⡿⣞⡵⣯⣽⣳⢯⣷⣻⣽⡾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⡛⠚⠿⠭⠿⠷⠿⠾⠛⠚⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ εつ(‿ˠ‿) εつ(‿ˠ‿) εつ(‿ˠ‿)

⠀⠀⠀⠀⠀⠀⠀⠃⣷⣿⣿⣿⣿⣿⣿⣶⣤⣤⣤⣤⣀⣤⣤⣦⣶⣿⣿⣿⣿⣴⢀⠀⠀⠁⠚⠴⣠⣉⠞⡴⣠⠀⠀⠀⠀⡀⢀⠀⠁⠒ ⠀⠀⠀⠀⠀⠀⠆⢁⣿⣿⣿⣴⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣿⢿⠻⠋⠞⡴⣀⠋⠞⡴⢀⠀⠀⠀⠀⠉⠋⠒⠤⡠⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⠟⣿⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣷⣹⣤⡤⣤⣤⢤⠤⠶⠶⠷⣿⣬⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⣿⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠹⠀⠀⠀⠀⠀⠀⠀⠀⡀⣤⣷⠹⠀⠀⠉⠖⡤⢀ ⠀⠀⠀⠀⠀⡞⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣹⢀⠁⠋⠿ ⠀⠀⠀⠀⡏⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢿⣿⣿⣿ ⠀⠀⠀⠇⣸⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿ ⠀⠀⠀⡷⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿ ⠀⠀⠀⣼⠀⠀⠐⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿ ⠀⠀⠀⢸⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢻⠉⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠌⠹⠀⢸⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⣠⣿⡸⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⣿⡿⠹⢻⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣠⠀⠀⡏⢠⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣿ ⣁⣿⣿⣿⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠏⢠⠀⠀⠀⣸⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣿ ⡀⣄⣷⣿⠸⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⢠⠀⠀⠀⠎⢀⠀⡏⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⣿⣿ ⠀⠀⡀⣷⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠖⢑⠉⠉⠛⡬⢁⠋⡔⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡟⣿⣿⣿ ⠤⠲⠒⡿⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠖⣠⠀⠀⠀⠀⠀⠀⣎⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡿⣿⣈⣄⣦ ⠉⠛⠟⣿⢹⠋⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠊⠖⢶⠻⠛⠻⠟⠶⠖⠤⣧⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡿⣿⣿⣿⣿⠻⠉ ⣾⣤⣠⣀⣀⣀⣀⢤⠳⠙⠀⠀⠀⠀⠀⠊⠴⣀⠀⠀⠃⡴⡇⢀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⡴⣿⣿⣛⣛⣽⣭⣦⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢰⠀⠉⠟⡩⠾⠓⠘⠀⠆⣹⠋⢠⠙⠉⠉⠉⠟⢀⠀⠀⠀⠁⠉⠒⠖⠴⠤⠤⣤⣦⢶⠛⠹⣬⣤⣤⣤⣤⢥ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡹⣉⣀⣄⠀⡀⢠⠀⠀⡁⣀⠀⣀⣻⣟⣶⣿⠀⠀⠋⠴⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣾⣶⣷ ⠀⠀⠀⠀⠀⠀⠀⠁⠋⡿⡠⣀⠀⠀⠁⠉⠟⣿⣸⠠⡏⣿⠿⠹⠉⡀⣧⣤⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⢦⠓ ⠀⠀⠀⠀⠁⠊⠖⣳⠈⡀⢶⡠⣀⢀⠀⣄⣽⣯⣾⣤⢀⡇⠀⣧⣀⣦⣼⣤⣠⠦⠑⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⠀⠀⠁⣄⠰⠀⠂⠤⡤⣀⣀⠀⣀⢀⠄⠁⡰⠀⡏⢶⠀⡀⠤⠀⠀⠀⡀⢄⠤⠒⠑⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠙⠀⠀⠀⠀⠉⠔⣠⠁⠞⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠤⠤⠲⠒⠑⠉⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢄⠦⠙⠈⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠂⠳⠛⠛⠙⠐⠀⣆⣿⣶⠶⠶

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⢶⡤⢀⠉⠒⠠⠂⠀⠂⡐⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡴⢁⠊⢷⡠⢁⠀⠄⠀⠀⡄⠸⠉⠴⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢐⠀⠀⠀⠀⠁⢰⠀⠀⠀⠀⠀⠀⠋⣿⣈⢀⠉⡖⠰⡀⠚⠤⢀⠋⠾⣤⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠀⠀⠀⠀⡅⠀⠀⠀⠀⠀⠀⠏⣿⠤⣧⣁⠋⠒⠤⣀⠃⠞⡣⣿⣠⠉⠖⣁⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠐⠀⠀⠀⠀⢐⠀⠀⠀⠀⠁⡼⣦⣿⠿⡙⣨⠀⠊⠀⡧⢊⡽⣻⠙⡫⢚⠿⣿⢿⠛⠛⠛⠞⠷⠷⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢘⠀⠀⠀⠀⠸⠀⠀⠀⠁⡼⠀⠀⡀⣄⣦⣶⣶⢶⡶⣶⣽⣶⣠⣄⡤⣀⢀⠀⠀⡜⢠⣹⠄⣢⠙⣶⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⠀⠀⠀⠀⢸⠀⠀⠀⡿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⢠⠀⠀⠉⠉⠉⠉⠉⠋⠒⢴⣤⣤⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⢉⠀⠐⠂⠆⢧⠈⠀⠀⣻⠂⠀⠀⠀⠁⠀⠀⠀⠀⡿⢀⠂⠶⣠⣤⣠⢦⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡂⠀⠀⠀⠀⠀⠀⢺⠒⠙⣇⢌⠳⠁⠀⠀⠀⠀⠀⠇⢰⠀⠀⠀⠀⠀⠀⢄⡀⠢⠈⠀⠀⠀⠀⠀⠛⠉⠈⠀⠀⠁⠈⠀⠀⠀⠀⠀⠀ ⠀⢈⠀⠀⠀⠀⠀⣸⣀⣀⣀⢣⠈⠀⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢤⠢⠑⠈⡟⣿⢿⢿⠈⠀⠀⣧⠻⠈⠀⠀⠀⠀ ⠀⠁⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⢄⠓⠈⡀⠂⠀⠀⠀⠀⠀⠀⠀⠅⠛⠈⠀⠀⠀⠀⠃⠉⠛⣚⣟⣿⣿⣶⢶⠒⠙⠈⣿⣿⠻⠀⠓⠀ ⠀⠀⠈⠀⠀⠀⠀⢈⠀⠀⠀⠀⠀⠀⡀⢅⠼⢻⠛⠙⠙⠉⠉⠁⣸⠀⡀⠳⠀⠁⠴⣀⠀⠀⠀⠀⠀⢄⠙⠀⠀⠀⣄⣷⣿⣬⠸⡇⠸ ⠀⠀⠈⠀⠀⠀⠀⢈⠀⠀⠀⠀⠀⠀⠀⡿⢹⣿⣦⣸⣿⣿⣿⣿⢨⠓⠀⡄⢻⣰⠀⠀⠀⣀⣀⢤⠶⠐⡆⠘⠀⠀⠀⡀⣿⢃⣿⡏⢸ ⠀⠀⠣⠀⠀⠀⠀⠨⠀⠀⠀⠀⠀⠀⠀⣿⣻⣿⠀⣷⣟⣿⣿⣿⢸⡀⠱⠀⣤⠸⠀⠀⠀⡄⢠⠀⠀⠀⠏⢠⠀⠀⠀⠀⣿⡾⡿⣾⠀ ⠀⠀⡇⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⣷⣿⣮⠸⡿⣻⢷⡍⣿⢸⠀⡀⢻⠈⣆⠓⠙⠋⠛⠛⠈⠁⠖⢠⠀⠀⠁⠋⡿⣾⣏⣾⢠⠀ ⠀⠀⡇⠉⠒⠤⠤⡤⢲⠉⠀⠀⠀⠀⠀⡀⣷⢿⠀⡆⡿⡿⣧⣿⠀⠀⠀⡇⣌⠒⠉⠀⠂⢷⣷⣴⢉⠉⡟⣿⣤⣏⣻⡴⢁⣾⢀⠀⠀ ⠀⠃⠠⢆⣠⣀⣀⣄⠧⠈⢸⠀⠀⠀⠀⠀⠀⣄⢷⠈⣆⣻⢷⣯⠸⠀⠀⠀⢀⠀⡟⣿⢿⠠⠀⠀⣀⣿⣻⠛⡿⣾⢡⠞⣠⠀⠀⠀⠀ ⠀⡨⠀⠀⠐⠀⠀⠀⠐⠋⢠⠀⠀⠀⠀⠀⠀⠀⠀⣄⠳⡌⢷⡝⣿⠙⠀⠀⠀⠀⣿⣿⣸⠀⠉⡋⠟⣼⡏⣿⣽⠞⣠⠀⠀⠀⠀⠀⠀ ⠀⡀⢄⠒⠉⠈⠀⠊⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠳⣮⣻⣡⣥⠯⠻⠋⣿⣿⠋⡾⣶⣷⣿⢠⣿⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠄⣄⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡌⣿⣿⠆⡇⣿⣿⣴⢀⠀⠀⠀⡀⣧⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡎⢿⠳⡏⣿⣿⠙⠛⠘⠀⠀⠋⡏⣿⣿⢻⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢿⣦⡜⣿⣧⣼⣿⣿⣿⢿⠛⡎⣿⣿⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠸⢦⣿⣾⠀⣷⣟⢻⣿⣇⢺⣿⣿⠀⣟⠀⠀⠋⠿⡿⣿⠿⠘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢹⠀⣧⢻⠀⡄⢻⢸⣿⠀⢹⣴⢀⠏⢠⠀⡟⣿⣿⣿⣿⣾⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢳⠈⣿⢿⠛⠉⠀⡀⠀⠀⠋⡟⣾⠒⡏⣿⣿⣾⣴⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣧⢻⡖⣺⣒⣖⣴⣠⠀⣆⣿⡟⣿⣾⣠⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣷⡻⣙⢤⠲⠑⠈⠀⠀⣄⣤⣠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⢿⠛⠈⡀⢦⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣿⠻⠈⡇⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣤⣶⣶⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

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