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