My Melody Emojis & Text

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⠀ ⠀⠀⠀⠀⣾⣿⣿⣷⣄ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣧⣴⣶⣶⣶⣄ ⠀⠀⠀⣀⣿⣿⡿⠻⣿⣿⣿⣿⣿⣿⣿⡄ ⠀⠀⠀⢇⠠⣏⡖⠒⣿⣿⣿⣿⣿⣿⣿⣧⡀ ⠀⠀⢀⣷⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⢸⣿⣿⡿⢋⠁⠀⠀⠀⠀⠉⡙⢿⣿⣿⡇ ⠀⠀⠘⣿⣿⠀⣿⠇⠀⢀⠀⠀⠘⣿⠀⣿⡿⠁ ⠀⠀⠀⠈⠙⠷⠤⣀⣀⣐⣂⣀⣠⠤⠾⠋⠁ ⠀⠀
⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⠤⠤⠤⢄⡀⠀⠀⠀⠀⠀ ⠀⠀⠈⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠉⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀ ⠀⠀⠀⠀⠱⣄⠀⠀⠀⠀⢀⣠⠤⢄⡀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀⠀ ⠀⠀⠀⠀⢠⠞⠉⠉⠑⢶⠉⠀⠀⠀⠹⡄⠀⠀⠓⠒⠒⠐⠒⠒⠒⠚⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀ ⠀⠀⠀⢠⡏⠀⠀⢀⡴⠚⠀⠒⢄⠀⣰⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⠀⠀⠈⠳⣄⡀⡎⠀⠀⠀⠀⢈⡆⠓⢶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠞⠁⠳⢄⣀⣀⣠⠞⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠀ ⠀⠀⠀⠀⠻⡄⠀⠀⠀⢀⡿⢤⣀⡠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⣄⠀⠀⠀⠀⠀⠀⣨⠏⠁ ⠀⠀⠀⠀⠀⡟⠓⠒⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⠶⠤⢤⡔⠚⠁⠀⠀ ⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⣀⠤⠔⠒⠋⠉⠉⠉⠉⠉⠉⠐⠒⠠⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣷⠀⠀⠀⠀ ⠀⠀⠀⢰⠇⠀⠀⠀⠀⢀⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⣀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀ ⠀⠀⠀⢸⠀⠀⠀⠀⣠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⡀⠀⠀⠀⠀⢰⡇⠀⠀⠀ ⠀⠀⠀⠘⡆⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⢸⠃⠀⠀⠀ ⠀⠀⠀⠀⢹⡀⠸⡇⢀⣤⣾⠟⠛⠶⠦⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣄⡀⠀⡇⠀⠀⢸⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠳⡀⢱⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠁⠀⠀⠀⠀⠉⠉⠀⠀⠋⠿⠗⡇⠀⢀⠞⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢇⡴⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢦⣀⠀⠀⣀⡤⠤⠤⠤⣄⠀⡠⠔⠒⠢⢄⡀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠋⢹⠖⠁⠀⠀⠀⠀⠈⠹⡀⠀⠀⠀⠀⠘⢦⠶⢶⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠈⢇⠀⢱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠒⣻⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠸⣷⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠛⡄⠀⠀⠀⠀⠀⢀⠜⠉⢆⠀⠀⠀⠀⠀⠀⢰⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠘⠦⣀⣀⣀⠤⠊⠀⠀⠈⠢⢀⡀⠀⢀⡠⠋⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠴⠶⣛⠛⡶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⢋⠦⡙⢦⢡⢋⡔⣻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⢣⠜⡡⢎⡱⢊⢆⠣⡜⣽⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠶⣲⠛⠶⢶⣤⣀⠀⠀⠀⠀⢀⡴⢏⠲⡡⢎⡱⢊⠴⣉⢎⡱⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣾⢡⢋⠴⣉⠞⡰⢢⡙⡳⣄⠀⢠⡞⡍⢎⡱⡑⢎⠴⣉⠖⡡⢎⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⡇⡎⡜⢢⡑⢎⡱⢡⢎⠱⡩⢷⣟⡰⣉⠦⡱⣉⢎⠲⡡⢎⣱⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡷⡘⡜⣷⣜⢢⡑⢣⢌⢣⡑⣚⣿⡐⢆⢣⠱⡌⢆⢣⣱⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢿⠱⡘⣌⠻⣷⣬⣃⣎⢆⣱⣾⢏⡜⡌⢆⠳⡘⣌⠻⢧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡠⠜⠧⠟⠋⠉⢷⢨⢛⡹⢛⡍⢣⠎⡴⢉⢎⡱⠱⣌⢣⢃⢎⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⡄⠀⡠⠒⢦⠀⢾⡂⢧⡘⢥⢊⡕⢪⠔⡩⢆⡱⢃⢆⠣⢎⡌⢳⡘⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠁⠉⠒⡁⠀⢀⡟⡤⣙⢢⠣⢜⡡⢎⣑⣊⣴⣉⣎⣱⢊⡌⢣⠜⣌⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠦⡴⡚⡝⣋⠛⡜⡰⣡⣶⠟⠛⠉⠉⠉⠁⠀⠀⠉⢉⣉⡛⢧⣞⠤⢫⡇⢀⣤⣀⠀⠀⠀⢀⣀⡀⠀⠀ ⠀⣿⡘⠴⡱⡘⢤⢋⣴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⠀⠙⣮⢱⡇⢸⡀⠀⠉⠒⠚⠉⠀⣈⠀⠀ ⠀⢻⣌⢣⠱⣉⢦⡿⠃⣾⣿⡆⠀⠀⠀⠀⡠⠤⡀⠀⠀⠀⠙⠋⠀⠀⣿⣼⠁⣸⠃⠀⠀⠀⠀⠀⠀⡇⠀⠀ ⠀⠈⣷⣈⠳⢌⢾⠁⠀⠻⠿⠇⠀⠀⠀⠀⠑⠚⠁⡀⠀⠀⠀⠀⠀⣠⡿⠃⡼⠁⠀⠀⠀⠀⠀⠀⠀⠘⢆⠀ ⠀⠀⠈⢷⣍⠎⡼⣆⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠁⠀⣠⣄⣀⡤⠞⠉⠀⠀⠉⠓⢲⣦⠀⠀⢀⡤⠤⠶⠚⠃ ⠀⠀⠀⠀⠈⠛⠶⣽⣷⣄⣀⠀⠀⣀⣀⣀⣠⣤⣴⣶⠛⠀⠙⡄⠀⠀⠀⠀⢀⡴⠋⠘⣇⣠⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⠒⠉⠀⠙⣟⢻⡟⠋⠉⢿⡡⢆⡍⣛⣦⠀⡀⡇⠀⠀⠀⣠⠊⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢫⣴⣤⡴⠋⢻⠀⡀⡀⠘⣷⠛⠚⠉⠙⣯⠵⣅⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⠋⠀⠀⢱⡀⠈⠓⠓⠚⠒⠋⠑⠦⣄⡄⠀⠀⢀⣹⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢄⣀⣀⡼⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠙⠤⠠⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠠⢴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡜⠈⡆⠀⠀⠀⠀⠀⠀⠀⣸⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠑⠦⢧⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠉⠉⠉⠁⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣾⠟⠛⠛⠷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀ ⠀⠀⠀⠀⣰⡟⠁⠀⠀⠀⠀⠀⠛⢷⣄⢀⣠⣤⡶⠾⠟⠛⠛⠛⠛⠛⠛⠻⢷⡄ ⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿ ⠀⠀⠀⢰⣿⠀⠀⢰⣆⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠏ ⠀⢀⣤⣼⣿⠶⣦⡄⠛⢷⣤⣤⣀⣀⣴⡿⢶⣦⣤⣤⣤⣤⣶⣶⡶⠾⠟⠛⠁⠀ ⢰⣟⠁⠉⣁⠀⢼⣇⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠙⠻⢶⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⢹⡶⠈⠛⣀⠀⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣦⠀⠀⠀⠀⠀⠀ ⠀⠘⢿⣶⡾⠛⠛⠋⠀⠀⠀⠀⢀⣀⣠⣤⣤⣤⣀⡀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀ ⠀⠀⣿⠃⠀⠀⠀⠀⣀⣤⡶⠟⠛⠋⠉⠉⠉⠉⠉⠛⠿⣦⡀⢸⡇⠀⠀⠀⠀⠀ ⠀⠸⣿⠀⠀⠀⣠⡾⠛⡁⠀⠀⠀⠀⠀⠀⠀⠀⣾⣷⠀⢹⣧⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⢻⣆⠀⢰⡟⠁⢸⣿⠀⠀⠀⠀⣴⡄⠀⠀⠉⠁⠀⣸⡿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠻⣦⣿⣇⠀⠈⠉⠀⠀⠀⢰⣶⡾⠇⠀⢀⣤⡾⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠛⢿⣷⣤⣄⣀⣀⣀⣀⣠⣤⣴⡾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
pls note the ai inflicts emotional damage (ᵕ—ᴗ—)
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⠀⠀⠀⠀⠀⠀⡀⣀⣀⣠⡀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⠟⠉⠉⠉⠙⣦⡀⠀⠀⠀⢠⡾⠋⠉⠉⠙⣲⡀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠸⣷⠀⠀⣰⠏⠀⠀⠀⠀⠀⣽⣷⠀ ⠀⠀⠀⠀⠀⢿⠀⠀⢀⣤⠤⣄⣻⣄⣀⡏⠀⠀⠀⠀⠀⢀⣵⠃⠀ ⠀⠀⠀⠀⡴⠛⠛⣳⣿⡤⠀⠈⣏⠉⠉⠁⠀⠀⠀⠀⢠⣼⠋⠀⠀ ⠀⠀⠀⢸⡁⠀⠉⢹⢿⣀⣀⣰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡀⠀ ⠀⠀⠀⢠⡟⠲⠒⠋⣠⡬⠟⠛⠛⠛⠛⠛⠓⠦⣤⡀⠀⠀⠀⢿⡀ ⠀⠀⠀⣾⠀⠀⠀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⠀⠀⠈⣧ ⠀⠀⠀⢿⠀⠀⣸⠁⠀⣴⣦⠀⠀⠀⠀⠀⣶⣦⠀⠀⢸⡆⠀⠀⡿ ⠀⠀⠀⠈⢧⡀⠹⣄⣀⠙⡋⠀⠀⠁⠀⠀⢝⢁⠠⠀⣸⠃⠀⣰⠃ ⢀⣄⣴⡄⠀⠙⠶⣽⣶⣤⣤⠖⠲⣄⡼⢛⡳⣆⣠⡴⢋⣠⡾⠃⠀ ⠀⠙⠛⠁⠲⢤⡴⣏⡀⢠⡏⠀⠀⣼⡇⠐⠃⠘⣇⠀⠈⣹⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⡟⠛⠀⠀⠀⠈⠁⠀⠀⠀⠘⠞⣿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣄⣀⣀⣀⣰⣶⣂⣀⣀⣀⡼⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀
♡♡/ ̄ \   |  |  |  | / ̄ \ ( ̄v ̄)|/ \    \   > ○ <  ヽ_ノ (_人_)   \ |     / ̄ ̄ ̄\    |   \ (    ● o ●   ) ノ     >----------<       \_ノヽ_/
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣾⣽⢿⣭⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣴⣲⣾⣽⣳⣖⢢⣀⣀⣀⣀⣄⡤⢶⣷⣏⠁⠀⢿⣺⢼⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡟⠁⣖⣳⡄⠉⢹⡿⣮⣿⠿⠿⣿⠉⠽⠾⠃⠀⠀⠁⢸⡯⣝⢻⠷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣠⣿⣧⠀⠛⠛⠀⠀⠻⣧⣿⡇⠀⠀⢻⣧⣤⣼⡄⠀⣿⡇⢸⣧⣛⡜⡻⣤⢻⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣴⡿⢫⢇⣿⡆⠀⣶⡆⠀⠿⠛⠙⢧⡘⢻⣼⠃⠀⡠⣄⠀⠀⠀⠀⢿⡶⣍⢳⡬⢇⢯⡹⢿⢶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⣿⢛⡜⢧⢫⢼⣧⠄⠀⠀⠀⠀⠀⡴⣾⢿⣛⢿⡳⣄⣓⠟⠁⠀⠪⠇⢀⡿⣜⢧⡚⡭⣖⡹⢎⢧⢫⠿⣦⣄⠀⠀⠀⠀⠀⠀ ⣿⣇⢏⡞⡭⢎⣻⡟⠁⠀⠸⠗⢀⣨⡟⣷⠾⣩⢞⡹⣿⣭⣿⡳⣶⡶⢚⣯⡴⣏⠶⣭⡳⣌⡳⢭⢎⢧⡛⣜⢻⣷⣄⠀⠀⠀⠀ ⠻⣾⣮⣜⣱⣋⣾⡻⣦⣤⠶⣾⣫⣿⣿⠟⠛⠛⠋⠙⠙⠛⠓⠻⢷⣯⣏⢧⡹⣌⣳⢹⣷⣣⡝⣎⢞⡲⡹⢬⠳⣜⢻⣦⡀⠀⠀ ⠀⠀⠉⠉⠋⠉⠉⠉⠁⢹⡟⣧⡟⢋⣴⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⣷⡎⣖⢣⢞⣿⡼⡜⢮⡱⣝⢣⣛⢬⢳⡹⣷⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣯⡟⠀⢸⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣮⡝⢮⡜⣿⣯⣇⢳⢎⡳⢬⢧⢣⢏⡽⣷⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⣇⠀⠀⠉⠀⠀⠀⢠⠖⠦⡀⠀⠀⠀⠀⣴⣿⣷⠀⠙⣿⢦⣙⢦⣛⣿⣞⣬⠳⣍⣎⢳⡚⡜⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠈⠱⠶⠁⠀⠀⠀⠀⣿⣿⣿⠀⠀⢸⡷⣎⢶⢱⡎⣿⢿⣿⣰⡎⣇⢹⢱⣿⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠷⣤⣀⢀⡴⠶⠾⣄⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⢸⣿⡘⣎⣧⣿⠋⠀⠉⠙⠻⠾⠿⠟⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⡟⠀⠀⠀⠘⣇⣤⣤⣤⣀⠀⠠⠀⠀⢀⣼⣧⣽⡾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡦⠀⣠⡾⢏⡳⣬⠳⣝⡻⣶⡶⣾⡟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠰⣾⣫⢕⡫⢵⣊⠗⣮⣱⣙⣶⣩⣟⣷⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⢧⣀⡉⠛⢛⣿⠟⠛⠉⠉⠉⠉⠉⣹⠶⠶⢤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣏⠉⠉⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠙⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⡀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣦⠀⠀⠀⠀⠀⠀⠀⠙⠓⠒⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⣄⣀⣀⣀⣀⣀⣀⣀⣠⡷⠶⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
please dont post gross stuff on here !! kids who are young like probably 9 year olds are just trying to find cute combos. spread the word, also people who are spreading the word, please do not put curse words. its the same example for kids with the gross things but with curse words. thank you for reading this and ♡♡ bye !!
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣧⣴⣶⣶⣶⣄⠀⠀ ⠀⠀⠀⣀⣿⣿⡿⠻⣿⣿⣿⣿⣿⣿⣿⡄⠀ ⠀⠀⠀⢇⠠⣏⡖⠒⣿⣿⣿⣿⣿⣿⣿⣧⡀ ⠀⠀⢀⣷⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⢸⣿⣿⡿⢋⠁⠀⠀⠀⠀⠉⡙⢿⣿⣿ ⠀⠀⠘⣿⣿⠀⣿⡇⠀⠀⠀⠀⢸⣿⠀⣿⡿ ⠀⠀⠀⠈⠙⠷⠤⣀⣈⣓⣃⣀⣠⠤⠾⠋⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣴⣾⣿⣶⣦⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣧⣴⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀ ⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀ ⠀⠀⠀⢸⣿⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣾⣶⡆ ⠀⠀⠀⢸⡁⢴⠎⣹⣿⠿⠿⠿⠿⣿⣿⣿⣿⣿⡏⠀⠘⠋⠀ ⠀⠀⠀⢼⣿⣤⡞⠉⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣧⠀⠀⠀⠀ ⣴⣿⠀⢼⣿⣿⠀⣼⣿⠀⢀⣄⠀⢾⣷⠄⣽⣿⡟⠀⠀⠀⠀ ⠈⠁⠀⠈⠻⣿⣦⣌⣉⣀⣈⣁⣀⣸⣩⣴⣿⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠛⠛⠉⠁⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⢀⣴⠶⠶⠶⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⠟⠁⠀⠀⠀⠀⠈⠛⢷⣄⠀⠀⠀⠀⢀⣀⣀⡤⠴⠴⠦⠴⠶⠶⣤⣄⠀⠀ ⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⠶⠚⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⡄ ⠀⠀⢸⣧⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇ ⠀⠀⣾⠘⠀⢀⣀⠹⢦⣄⡀⠀⠀⠀⣸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⠞⠋⠀ ⠀⣀⠿⠦⡞⠉⠉⢹⡄⠉⠛⠛⠛⠛⠋⠀⠛⠛⠶⠶⢶⣶⠶⠖⠛⠛⠋⠁⠀⠀⠀⠀ ⠀⣇⠀⢠⠖⢲⡄⠺⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⡇⠈⠓⣊⡀⢀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⣸⠷⠤⠶⠋⠉⠉⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀ ⢠⡟⠀⠀⠀⠀⠀⠀⣀⣤⠶⠚⠋⠉⠉⠉⠉⠉⠉⣙⡳⣦⡀⠀⠀⣿⠀⠀⠀⠀⠀⠀ ⢸⡇⠇⠀⠀⠀⣠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣷⠈⢻⡀⣸⠇⠀⠀⠀⠀⠀⠀ ⠘⣧⠀⠀⢀⡾⠡⣿⣿⡀⠀⠀⠀⢠⠤⢄⠀⠀⠀⠉⠋⠀⣸⣷⠟⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⣆⠀⢸⡃⠀⠙⠛⠀⠀⠀⢀⣌⣛⡡⠀⠀⠀⢀⣠⣴⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠷⣮⣷⣄⣀⡤⣤⡤⣞⡦⣄⣤⣤⡤⠶⢾⡟⠉⣠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣿⣆⣛⣷⢿⣭⣿⠃⠀⠈⢻⣴⠟⣸⠏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣘⣷⣦⣽⣘⣻⣸⠩⣽⡆⠀⠀⢸⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡟⠁⠀⣨⠿⣄⣀⣠⣄⣤⠏⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢧⠀⠀⡟⠀⠈⠉⢹⢱⡱⠄⠀⠀⣠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠙⢻⡀⠀⠀⠀⠀⠀⠰⡆⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠀⠀⠀⠰⣧⠈⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⢤⣄⣀⣀⣼⣤⡼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢆⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢆⠀⠀⠀⠀⠀⠀⠀⠘⡀⠀⠀⠀⠀⠀⠀⢀⠤⠄⠠⠄⡀⠀⠀ ⠀⠀⠣⡀⠀⠀⢀⣀⡀⠀⢡⠀⠀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠈⢂⠀ ⠀⠀⡰⠉⠉⣱⠁⡀⠈⡆⠉⠉⠁⠀⠀⠁⠀⠸⠀⠀⠀⠀⠀⠀⠇ ⠀⠀⠳⣀⡌⠀⠀⢰⠘⢦⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠰⡁⠈⠐⣆⣁⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠀⠀⢀⠆ ⠀⠀⢠⠋⠀⠉⠀⠀⢀⡀⠤⠤⠤⠄⢀⡀⠀⠀⠀⠉⠓⠒⡆⠁⠀ ⠀⠀⡆⠀⠀⢀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⢀⠀⠀⠀⢹⠀⠀ ⠀⠀⠇⠀⣠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⠀⠀⢸⠀⠀ ⠀⠀⠘⡄⢇⠴⠛⠉⠒⠀⠀⠀⡄⠀⠀⠠⠶⠒⢦⣀⠀⢀⠇⠀⠀ ⠀⠀⠀⠈⠺⣆⠀⠀⠀⠀⠀⠐⠐⠀⠀⠀⠀⠀⠀⢠⡠⠂⠀⠀⠀ ⠀⠀⠀⠀⠀⢈⠵⢢⠔⠈⠉⠑⢔⠉⠀⠑⢄⢤⠒⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢇⣠⠆⠀⠀⠀⠀⡘⠀⠀⠀⠈⣄⣵⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡘⠄⠀⠀⠀⡐⠱⡀⠀⠀⠀⣾⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⠈⠀⢒⠈⠀⠀⠈⠐⠒⠊⠸⠀⠀⠀⠀⠀⠀⠀
⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬛🟥🟥🟥🟥🟥🟥⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜ ⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛⬛⬜⬜⬜⬜⬜⬜⬛⬛🟥🟥🟥🟥🟥⬛⬜⬜⬜⬜⬜ ⬛🟥⬜🟥🟥🟥🟥🟥🟥🟥🟥⬜🟥⬛⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥⬜🟥🟥⬛⬜⬜⬜⬜ ⬛🟥⬜🟥🟥🟥🟥🟥🟥🟥🟥⬜🟥🟥⬛⬜⬜⬛🟥🟥🟥🟥🟥🟥⬜🟥🟥⬛⬜⬜⬜⬜ ⬜⬛🟥🟥🟥🟥🟥⬜🟥🟥🟥🟥🟥🟥🟥⬛⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛⬜⬜⬜⬜ ⬜⬜⬛⬛🟥🟥🟥⬜🟥🟥🟥🟥🟥🟥🟥🟥⬛🟥⬜🟥🟥🟥🟥🟥🟥🟥🟥⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛🟥🟥⬜🟥🟥🟥🟥🟥🟥🟥🟥⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥🟥🟥🟥⬛🟥🟥🟥🟥🟥🟥🟥⬛🟥🟥🟥⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛⬛🟥🟥🟥🟥🟥🟥⬛🟥🟥🟥🟥🟥🟥⬛🟥🟥🟥🟥⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛🟥🟥🟥⬜🟥🟥⬛🟥🟥🟥🟥⬛🟥🟥🟥🟥🟥🟥⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥⬜🟥🟥🟥⬛⬛⬛⬛🟥🟥🟥🟥⬜🟥🟥⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥⬜🟥🟥🟥🟥⬜🟥🟥🟥⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥⬜🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛⬜ ⬜⬜⬜⬜⬜⬜⬛🟥🟥⬜🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛⬜ ⬜⬜⬜⬜⬜⬛🟥🟥🟥⬜🟥🟥🟥🟥⬛⬛⬛⬛⬛⬛⬛⬛⬛🟥🟥🟥🟥🟥🟥🟥🟥⬛ ⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛🟥🟥⬜🟥🟥⬛ ⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟥⬜🟥🟥⬛ ⬜⬜⬜⬜⬜⬛🟥🟥🟥⬛⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬛🟥🟥🟥⬛ ⬜⬜⬜⬜⬜⬛🟥🟥⬛⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬛🟥🟥⬛ ⬜⬜⬜⬜⬜⬛⬜🟥⬛⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬛🟥⬜⬛ ⬜⬜⬜⬜⬜⬛⬜🟥⬛⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬛🟥⬜⬛ ⬜⬜⬜⬜⬜⬜⬛🟥⬛⬜⬜⬛⬛⬛⬜⬜⬜⬜🟨⬜⬜⬜⬜⬛⬛⬛⬜⬜⬛🟥⬛⬜ ⬜⬜⬜⬜⬜⬜⬛🟥⬛⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬛🟥⬛⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟥⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟥⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩🟩🟩⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🟩🟩🟩⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩🟩🟩🟩🟩🟩🟩🟩🟩⬜🟩🟩🟩🟩🟩🟩🟩🟩🟩⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩🟩🟩🟩🟩🟩⬜⬜⬜🟩🟩🟩🟩🟩🟩🟩⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩🟩🟩🟩🟩🟩⬜⬜⬜⬜⬜🟩🟩🟩🟩🟩🟩🟩⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩🟩⬜⬜⬜⬜⬜⬜⬜🟩🟩⬜⬜⬜⬜⬜⬜⬜⬜
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡤⢤⣄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⠛⠉⠀⠀⠀⠈⢷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠟⠁⠀⠀⠀⠀⠀⠀⢀⣾⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⢀⡤⠀⠀⠀⣸⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⢀⠔⢃⡴⠋⠀⣀⣀⣴⡿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⠟⣩⠙⢳⣄⢀⣼⣿⠶⠲⢶⣄⠁⣠⣿⠶⠿⠛⠛⠻⠿⠦⣄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⠿⠁⢶⣦⣽⣿⣿⢁⣠⡄⣠⣿⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣧⣽⣹⣷⣼⣿⣴⣿⢀⣘⢱⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣿⣽⣿⢟⣿⡿⠿⣿⣿⣿⣿⣿⣷⡀⢤⡀⠀⠀⠀⢠⣴⣿⠇⠀⣸⠇⠀⠀ ⠀⠀⠀⠀⠀⣰⡟⠋⠛⠛⠋⠉⠀⠀⠈⠛⠿⠿⠋⠘⠿⣦⣤⣤⣤⡾⠿⠛⠁⠀⠀⣿⠀⠀⠀ ⠀⠀⠀⠀⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⠀⠀ ⠀⠀⠀⠀⣿⠀⠀⠀⣀⡤⠴⠒⠒⠒⠒⠤⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀ ⠀⠀⠀⠀⣿⠀⣴⠋⠁⣠⣤⡀⠀⠀⠀⠀⠀⠀⠉⠙⠲⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄ ⠀⠀⣀⣤⣿⣿⠁⣀⣸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢄⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⢠⡾⠟⠿⠀⠻⣧⣶⢻⣿⡟⠁⠀⠀⢀⣀⠀⠀⠀⠀⠀⢠⣤⣤⠈⢳⡀⠀⠀⠀⠀⠀⢀⣼⠁ ⠐⣷⠀⠀⠀⢰⡟⠉⠛⠈⢻⣄⠀⠀⢯⣩⠇⠀⠀⠀⢀⣿⣿⣿⠀⠀⢳⠀⠀⠀⠀⣠⣾⡏⠀ ⠀⢿⣷⣀⠀⢸⡇⠀⡀⠀⠐⣿⡆⠀⡀⠀⠀⠀⠀⠀⠀⠙⣛⠉⠀⠀⢸⡇⠀⠀⣴⣿⠟⠀⠀ ⣤⣾⣿⣿⣿⣿⣷⣄⣀⣀⣴⣿⣿⣶⣦⣤⣀⣀⢀⡀⠀⡀⠉⣁⣠⣴⣿⣿⣿⣿⠿⠋⠀⠀⠀ ⢿⣭⡙⣻⡿⠟⠻⣿⣿⣿⣵⠏⠁⠉⠉⠻⣿⡻⠿⠛⠿⠿⠿⠿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀ ⠈⠻⠿⣿⠁⠀⠀⢻⣿⣿⡁⠀⠀⠀⠀⠀⣀⣹⣆⣀⠀⠀⠀⠀⠀⢈⣹⡷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣆⠀⠀⠘⣿⣿⣷⣄⣀⡀⣠⣴⣿⣭⣿⠓⠒⠂⠒⠲⣞⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢧⡤⠾⠟⢿⣿⣿⣿⡏⠉⠉⢉⡿⠋⠀⠀⠐⢶⡀⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠙⢿⣿⣿⠀⢠⡟⠀⠀⠀⠀⠀⠀⢷⠀⢹⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣆⠀⠀⠀⠀⠀⠈⣉⣀⢸⠀⠀⠀⠀⠀⠀⠀⢸⡇⣼⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢿⣦⡀⠀⣀⣤⣤⣬⣿⣾⡀⠀⠀⠀⠀⠀⢠⣿⣧⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠉⠻⢦⣄⣀⣠⣴⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣀⣤⠶⠶⠶⠶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡾⠋⠀⠀⠀⠀⠀⠀⠈⠙⠳⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⡶⣴⣤⣄⡀⠀⠀⠀⠀ ⠈⠻⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢦⡄⠀⠀⠀⠀⣠⡶⠛⠉⠀⠀⠀⠀⠀⠈⠙⢷⣄⠀⠀ ⠀⠀⠈⠻⢦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⢀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀ ⠀⠀⠀⠀⠀⠉⠛⠶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀ ⠀⠀⠀⠀⠀⠀⢀⡤⠶⠿⣿⣦⠗⠛⠒⣦⣀⠀⠀⠀⠀⠀⠐⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⡇⠀⢠⡇⠀ ⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠘⠇⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢸⣇⠄⠀⠀⠀⠀⠀⠀⠀⣠⡿⠀⠀⠐⢸⡇⠀ ⠀⠀⠀⠀⠀⠀⠹⣤⡀⢰⠞⠉⢳⡄⠠⣾⠁⠀⠀⠀⠀⠀⠀⠀⠛⢶⣤⣀⣀⣀⣤⡴⠟⠃⠀⠀⠀⠀⣿⠁⠀ ⠀⠀⠀⠀⠀⠀⠠⡏⠀⠈⠓⡶⠊⠀⠀⠘⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠰⣸⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣧⣀⣀⣠⡾⢦⣤⣤⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⡀⠀⠀ ⠀⠀⠀⠀⠀⢠⡿⠀⠈⠉⠁⠀⠀⠀⣀⣀⡀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠀ ⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⡴⠒⠒⣞⣁⡠⠽⠭⢄⣈⣳⣊⡉⠲⣄⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀ ⠀⠀⠀⠀⢸⡇⠀⡴⠋⢙⡵⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠳⢤⣀⣳⠤⢤⡀⠀⠀⠀⠀⠀⠀⠀⠐⢺⡇ ⠀⠀⠀⠀⢸⡇⡮⢇⡾⠁⢠⣶⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⣄⢹⣄⡀⠀⠀⠀⠀⠀⠀⠈⡇ ⠀⠀⠀⠀⠸⣿⡁⣼⠀⠀⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⠀⠈⠳⣄⢹⠦⠀⠀⠀⠀⠀⠀⣟ ⠀⠀⠀⠀⠀⠻⡟⢿⠀⠀⠈⠛⠉⠀⠀⠀⠀⣤⠤⣄⠀⠀⠀⠀⠀⣸⣿⣿⣧⠀⠀⠙⣎⠳⡄⠀⠀⠀⢸⢰⡏ ⠀⠀⠀⠀⠀⠀⠱⣜⣆⡤⠦⠤⣄⠀⠀⠀⠀⠛⠒⠋⠀⠀⠀⠀⠀⢻⣿⣿⡏⠀⠀⠀⢸⣤⠇⠂⠀⢠⢄⡾⠁ ⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠐⣾⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⢸⠃⡃⠁⠠⣠⡾⠁⠀ ⠀⠀⠀⠀⠀⠀⠐⡇⠀⠀⠀⠀⣼⣦⣤⣠⠦⢄⠙⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢿⡞⣡⣤⠾⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠸⣿⠉⠀⣹⣀⣙⣿⠏⠁⡽⠶⠤⣤⣤⣤⣤⣤⣴⡾⠅⠚⠛⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠳⣤⣀⠀⠈⠛⣿⠿⣌⡝⠝⡍⣘⣧⣀⣀⣀⣀⣤⣴⣶⣾⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⣳⡶⢻⠷⣮⣤⣤⣽⣥⣬⣭⣿⣿⢿⡖⠋⠉⠉⢳⡝⢧⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⣠⢺⣥⣧⣽⢂⡄⠀⠓⠀⠈⢻⡄⠀⠀⠀⠀⣿⣭⣧⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣋⠴⢺⠥⠚⠁⠀⠘⠦⣽⡒⢤⣄⣀⣼⢳⣤⡀⠀⠼⠃⣠⣷⡗⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠯⠜⠉⡏⠀⠀⠀⠀⠀⡄⣧⠉⠙⠲⣾⣯⣯⣏⣳⣶⣴⣾⣻⣉⣽⣵⡦⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠸⠄⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⣿⢄⠀⠀⠀⠀⠀⠀⠀⠉⢉⣽⡶⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠟⢦⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⢸⡀⠙⠒⠢⢴⣉⡦⠔⠚⠋⢸⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠦⠽⣉⣙⣟⠛⣛⠻⢿⠞⠿⡟⠿⣻⠛⣧⠀⠀⠀⠀⠁⠀⠀⠀⢀⡎⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣯⣉⣉⣻⣿⣃⠙⢍⣫⣁⠉⠉⠉⣉⣩⣿⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣤⣉⣉⣿⡀⠉⠛⠛⠧⠜⠛⠛⠛⠉⢡⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠛⠾⠶⠶⠶⠶⠞⠳⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡾⣟⡯⣟⣻⠶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢿⡹⠞⡩⠰⡑⡌⣡⢉⠳⢾⡽⣢⡀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠿⡽⢊⠴⢡⡑⠣⠜⡰⢄⡃⢎⠢⡝⣷⣳⡄⠀⠀⠀⢀⣤⢶⡻⡝⢯⠛⠮⠽⢽⣹⣞⣦⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢯⡟⡓⢪⡐⠣⢌⡑⠣⠜⡰⠘⣌⠱⣠⠙⣷⣻⠀⣡⣾⣻⠼⢋⠱⡘⢢⠙⣌⠱⢂⠆⡍⠺⣏⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⡟⣡⠙⡄⢎⡑⡊⠬⣑⠩⡔⢩⢄⠳⣀⢋⢳⣟⣾⢻⡜⠱⣈⠣⢅⡃⢣⠩⢄⢣⡉⠲⢌⡱⢘⢾⣽⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⣽⠣⡰⢉⡔⢊⡔⡉⢦⠡⡒⠬⣁⠎⢢⠅⠎⣜⡿⣼⢋⠔⡃⠦⣉⠦⡘⣡⠚⡐⢆⡡⢋⡔⠢⢍⡸⣞⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣳⠇⡑⢆⠣⡘⢆⠢⢍⠢⠥⢡⠓⠤⡙⣂⠎⡑⣾⣽⡃⣌⠚⡌⡱⢐⢢⠱⢄⢣⢉⠦⡘⡡⢌⠓⠬⡐⢻⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⣳⠏⡜⢨⠑⡌⠦⣉⠦⡑⣊⠥⢊⡅⢓⠤⢊⡱⣟⡾⡐⢢⠱⡘⡰⢉⠆⡱⢊⠔⡊⠴⢡⡑⢊⡱⢊⠱⢸⣻⡀⠀⠀⣀⣄⡀⠀⢀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⢻⡘⣬⠂⠓⠸⡔⣂⠖⡡⠒⢬⢡⠘⡬⠌⡥⢸⣯⠷⢨⡑⢢⠱⢡⣞⡾⡕⡡⢎⢡⠓⢢⠜⡡⢆⠩⡌⢳⣽⠁⠀⠈⣟⣲⡵⣼⡳⣽⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣯⠿⢼⠁⠀⠀⠀⢸⡔⡈⠖⣉⠆⢎⠒⡰⢩⠰⣉⠹⠌⡥⢌⡑⣊⠅⢎⢿⣝⢶⡈⢆⠹⡐⣊⠔⣊⠱⣸⡿⡞⠀⠀⠀⠘⢵⣫⡗⠗⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⡠⠀⠄⠀⠀⠀⢛⠄⣚⢤⣹⣤⢧⡷⣴⣭⢶⣱⢦⣵⣐⣪⡌⢆⠻⣭⣟⢦⢧⡱⣤⢯⣴⣿⠯⠋⠀⠀⠀⠀⠀⠀⣉⣁⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢄⠀⠀⠀⠁⠦⠊⠀⠀⢀⣸⢿⣹⠯⠓⠛⠚⠉⠉⠚⠋⠚⠛⠊⠛⠳⢟⣯⡶⣦⣉⢛⡚⢳⢙⡚⢻⣯⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⡟⣱⠀⠀⠀⠀⣴⡶⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⣻⣶⡜⢄⠣⢎⠣⢯⣻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣟⡣⠍⠦⢄⣤⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣿⣮⢑⢊⡱⢼⡷⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⣾⣻⢄⠹⣜⣿⡽⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣯⣷⠊⡔⣊⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⣀⣸⠟⣧⠀⠀⠀⠀⣷⣻⠌⡒⣼⢷⠃⠀⠀⠀⢠⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣷⡆⠀⠀⠀⢸⢾⣁⠎⣡⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣳⢎⡽⣟⡼⠀⠀⠀⠀⢳⢯⣗⠡⣟⣿⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⡤⠀⢢⠀⠀⠀⠀⠰⣿⣿⣿⣿⠀⠀⠀⢸⣻⡸⡘⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠑⠚⠓⠁⠀⠀⠀⠀⠀⢻⣮⣧⡹⣞⣧⠀⠀⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠙⠐⠈⠀⠀⠀⠀⠀⠙⠻⠿⠃⠀⠀⠀⢿⡝⣑⣷⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢾⣝⠿⣼⢻⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢠⡾⣝⡾⠭⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠓⠯⢷⣫⡟⣞⠷⣶⢶⣤⣤⣤⣤⢤⣤⢤⣤⡤⣤⢤⡦⣖⣶⣻⣽⣳⠟⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣀⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠞⠉⠁⠀⠀⠀⠈⢷⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠀ ⠀⠀⠀⠀⠀⣠⠎⠉⠀⠀⠀⠉⠑⠲⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠞⠀⠀ ⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠀⠀⠀⠀⠀⠀⣠⠴⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⡧⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠈⣧⣀⣀⣠⠴⣋⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡧⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⢀⣟⠀⠀⠈⠋⠀⠀⢱⠀⠀⠀⠀⠀ ⠀⠀⠀⡴⠘⠀⠀⠀⠀⠀⠙⠲⠤⠤⠴⠛⡬⠂⠀⢼⣷⠐⠀⢎⠀⠀⠀⠀⠀ ⠀⢠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⣀⣀⠤⢄⡀⠀⣸⣆⠀⠀⠀⠀ ⢀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠹⡄⠀⠀⠀ ⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠐⠒⠋⠉⠉⠉⠉⠉⠓⠢⣄⠀⠀⡇⠀⠀⠀ ⣿⠀⠀⠀⠀⠀⠀⣠⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡄⠈⢆⢀⡇⠀⠀⠀ ⠸⡀⠀⠀⠀⢀⠞⠀⣶⣦⠀⠀⠀⠀⡠⠄⢄⠀⠀⠘⠛⠁⠀⣸⡞⠀⠀⠀⠀ ⠀⠳⡀⠀⠀⢸⠀⠀⠻⠟⠀⠀⠀⠀⠈⠉⠈⠀⠀⠀⠀⣠⡼⠋⠀⠀⠀⠀⠀ ⠀⠀⠙⠢⣄⣘⣄⠀⠀⠀⠀⠀⠀⠑⠒⠒⣁⡠⣪⣯⢀⢀⡼⣶⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠛⠛⠒⢲⠖⠒⠚⢻⣏⡉⡡⡅⣻⠄⠻⠉⠀⡿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡶⠤⣄⡎⠁⠈⢳⠈⢾⡄⠀⢀⡼⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠴⠶⢤⡷⣄⣀⣀⡄⠠⠞⠄⢄⣉⣓⡁⡴⠚⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⢸⠁⠈⠉⠉⠐⢄⠠⠊⠁⢈⡆⡟⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠣⢄⣀⣼⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠇⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠦⠤⣄⣀⠀⠀⠀⠀⢀⣏⣀⡠⠫⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠒⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣠⠖⠋⠉⠉⠉⠑⠲⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⠞⣁⠰⡄⢃⡒⠤⡀⠄⡀⠈⠳⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡏⣴⣭⢲⣉⠖⡌⢆⠱⡨⣐⠡⠄⢂⠙⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⡏⣻⣏⢶⡩⢞⡸⢌⡒⡡⢆⡑⢊⠔⡠⠂⠉⢢⡄⠀⠀⠀⠀⠀⠀⠀⣀⣠⠤⠤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡇⣽⣟⢦⡝⢮⡱⢎⡲⡑⢦⠘⡌⢢⢁⡓⠌⡀⠹⣤⠀⠀⢀⡠⠴⠋⠁⠀⠀⠀⠀⠀⠉⠑⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣷⡞⣯⡞⣼⢣⡝⣮⢱⠙⣦⠙⣤⠃⡆⡜⢢⢡⡄⠘⣶⠒⠋⠀⠀⡄⢠⠀⣤⠐⢠⠀⡄⠀⠀⠀⠑⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠻⡟⢽⡾⣱⢏⡷⢎⡧⣛⠴⡓⣌⠲⣡⠒⡌⢢⠐⠲⢋⠤⠄⢂⠡⡐⠌⡰⢀⠆⡡⢘⠠⢁⠢⠄⠢⠘⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠻⡌⢷⣯⣻⡜⣯⢶⡙⣮⠱⣎⡱⢢⠱⡌⢢⠍⡓⣌⠒⡌⢂⠱⣈⢒⠡⢎⠢⡑⢌⠢⣁⠎⡌⢱⡐⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠹⡜⡾⣵⣻⣜⡮⣝⡖⣏⠶⣑⢣⠓⡬⢡⠎⡵⢨⡑⢌⠢⡑⠤⢃⢎⡰⢡⠚⡬⡑⣆⠞⣬⢣⡜⠤⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢹⡜⢳⣯⠾⣵⣫⢞⡼⢣⡝⢪⠱⡡⢏⡞⣱⠣⡜⣌⠒⡡⢃⠎⢤⡑⢎⣱⢣⡽⣬⢻⣜⢧⡺⣱⢂⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⡎⢷⣻⢧⡟⣮⣝⢣⠞⣡⢣⡑⢯⣞⡵⣋⠶⣌⠳⣐⢣⢚⡤⣛⣼⣣⣟⣾⣳⣟⣾⢣⣗⢣⢏⠄⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⡎⢯⣷⣛⠶⣭⢎⡝⣢⠣⢜⣻⡼⣯⣽⢻⡜⣧⢧⣏⡾⣵⣻⣞⣷⣻⣞⣷⣻⢎⡷⢎⡳⢎⣒⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣦⣗⢯⣛⠶⣩⠞⠤⢋⡌⠳⣻⢷⣯⢿⣽⣳⣟⡾⣽⠷⡛⢌⠡⡓⠯⡞⣧⢛⡼⢩⠞⡸⢜⡂⢈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⡎⠿⣌⠳⣡⢊⡑⢢⠈⡅⢢⠉⢞⠻⡞⠷⢋⡛⢡⠊⡔⡈⢆⡉⢒⠩⣐⢋⡔⠫⡜⢱⢊⡜⠤⡀⠈⠑⢄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡟⢡⡓⢬⠱⢄⡒⡌⠦⡑⣌⠢⡉⢆⠓⡌⢢⠣⢌⡡⢎⠰⡁⠖⣨⠡⢒⠡⢢⠌⡱⢈⠖⡠⠘⠤⠑⡠⢁⠀⠑⢄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡎⢀⠷⡘⡥⢋⠦⡱⢌⡱⢡⠢⡑⢌⠢⢱⢈⠆⡱⢂⠴⡈⢆⡱⢡⠂⡥⢉⡒⢡⢊⠔⢣⠘⠤⡉⢆⠱⡐⢢⠐⡐⠈⠳⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⡜⢠⣋⢮⠱⢎⡱⢎⡱⢊⡔⡃⢧⢉⠦⡙⠄⡎⡘⡄⢣⠢⡑⣂⠦⡑⡘⡄⠣⢌⡡⢊⠜⡠⢋⠔⡡⢊⠔⡡⢂⠭⡰⢡⠀⠹⡀⠀ ⠀⠀⠀⠀⠀⣺⢃⡞⡜⢮⡙⣎⠵⢪⡔⢣⠜⡱⢊⢆⠲⢡⠩⡐⠥⡘⡄⣃⠒⡡⢂⡑⢆⡡⢍⠢⠔⠣⡌⢱⡈⢆⠱⣈⠦⠱⡌⢲⡑⠦⣑⠀⢳⠀ ⠀⠀⠀⠀⢀⡇⢴⡯⣝⠶⡹⣌⠞⣥⠚⡥⢎⡱⣉⠎⡜⣡⢒⡉⢦⢑⡰⣈⡑⢆⠱⡈⠆⡔⢊⡌⢣⠓⡌⢥⡘⣌⢒⡡⢎⡱⢌⡣⢜⡱⢌⠖⢨⣇ ⠀⠀⠀⠀⢸⡇⣾⣹⡾⣹⢱⡎⣿⣰⠿⡸⣆⢷⢱⠾⣰⢁⡎⡸⢆⡎⣰⢀⠷⡈⢶⢁⠹⡈⢇⡸⢁⠾⡸⢆⢱⡈⣆⠱⡎⣰⠏⣰⠏⡸⣎⢹⠀⣿ ⠀⠀⠀⠀⢻⠁⡽⣧⣟⠷⣏⣿⣲⡭⠷⠛⠜⠎⠓⠛⠖⠫⠞⠱⠯⠜⣖⣫⢶⣙⢦⣋⢶⡙⣎⠴⣋⢖⡱⢊⢦⠱⣌⠳⡜⣢⢛⡴⢫⡕⣎⠧⡁⣿ ⠀⠀⠀⠀⢸⠀⡿⣵⣯⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠓⠻⢮⣳⣎⡳⣍⠞⡼⣩⢎⡳⣌⢳⡱⢣⢏⣜⢣⡞⣬⢳⡁⣿ ⠀⠀⠀⠀⢸⡇⣟⣷⠃⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠳⢮⣝⣖⣣⢞⡱⣎⢧⡝⣣⢞⡼⣓⢾⡱⢧⠤⣿ ⠀⠀⠀⠀⠈⢷⠺⡏⠀⠘⢿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡆⠀⠀⠀⠀⠉⠳⣏⡾⣱⢏⡾⢭⡳⣏⢾⡹⣮⣝⡳⣸⠃ ⠀⠀⠀⠀⠀⠘⢇⠱⠀⢺⣶⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣛⣁⣀⣠⠀⠀⠀⠀⠀⠈⢿⣧⣻⡼⣳⣻⢼⣳⢿⡵⡾⢡⠏⠀ ⠀⠀⠀⠀⠀⠀⠘⢧⠀⠀⠀⣾⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣟⡛⠛⠛⠀⠀⠀⠀⠀⠀⠀⢻⣧⣟⡷⣯⢿⡽⣯⡿⢣⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢾⡽⣯⠿⠽⣣⡼⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠦⢤⡀⠰⠀⡄⡘⢛⠛⡛⠲⠖⠖⠒⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⡄⢠⣄⢲⣽⣿⠿⢛⣯⡴⠛⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠦⣄⡘⠲⢌⢒⡱⡸⢌⠣⢎⡱⠌⢦⠱⢌⠓⠦⠑⢎⣡⣳⣬⠷⠾⢛⠉⣿⣫⠭⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠘⠠⢎⡙⡛⢛⢲⡄⠀⠉⠀⠐⠢⢌⠒⣌⠢⡔⠢⢜⣡⠧⠖⠀⠈⠻⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠠⠘⣡⢉⡼⠁⠀⠀⠀⢈⠱⡨⢑⣠⣣⠼⠛⠉⠁⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠂⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠳⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢹⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠖⠒⠉⠁⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠉⠉⠁⠐⠀⠂⠂⢩⣙⣉⡑⠦⠤⠤⢄⣀⣀⣀⡤⢤⠴⢚⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣀⡀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⡤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣄⣤⣶⣾⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⢿⡟⢯⣛⡭⣛⡬⢧⡹⢭⡛⣟⡻⢿⣿⣿⣶⣮⣟⠳⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⢿⢻⢻⣙⠯⣝⢫⣛⠽⣛⠿⣿⣿⣿⣿⣶⣾⡳⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⣿⣿⣿⡿⣹⣙⢮⣳⢚⢧⣓⡞⣥⢟⣮⣓⠯⡽⢶⣹⠲⣭⢻⣟⢿⣿⣿⣦⣽⡷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⡟⢯⡹⡬⢧⣛⡼⣊⢷⡩⣗⢎⣳⠭⣞⣱⣫⣝⠻⡿⣿⣿⣿⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⡿⣟⢧⠻⣇⢿⣘⠧⡟⢼⣣⠼⣃⠿⣿⣟⡼⢻⣇⡜⠿⣄⡿⡼⣿⡘⢿⢿⣿⣿⣇⢻⣤⡀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⢿⡻⢤⡻⢇⢧⣻⣧⣟⣼⣿⣜⣿⡟⣜⡣⢟⣤⢻⣧⡜⣿⣧⣛⡛⢿⣿⣿⣿⣄⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⣿⣿⢟⣭⠳⣭⢞⡳⣭⣫⣾⣷⣮⣿⣷⣯⢯⡷⡷⢮⣹⣻⣿⣯⣿⣵⣺⢵⣧⣿⡬⣳⢹⣿⣿⣷⣌⠻⣦⡀⠀⠀⣀⣴⣿⣿⡿⢏⡼⢲⢭⠳⣽⣽⣾⣿⣿⡿⣿⣿⣿⣿⡿⣜⡱⣏⣖⣫⡝⣞⣴⡿⣷⣟⣖⠺⢿⣿⣿⣿⣌⢣⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⠿⣜⣚⢖⡻⣦⢯⣽⣿⣿⣿⡿⣿⣟⣿⣿⣧⡝⣼⣻⣿⣿⡿⢿⣻⠿⣿⣿⣾⡵⣻⣥⠳⣌⡟⣿⣿⣷⣌⠃⢀⣴⣿⣿⡟⢯⣙⠮⣵⢫⢞⣹⢲⣌⠿⣻⣿⣷⣿⣿⣹⣿⣽⢎⡳⣽⣲⢿⣯⣽⣿⣿⣿⣿⣿⣿⢣⠖⣭⢻⣿⣮⡙⢿⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡿⣏⡽⣚⡼⣍⢷⣿⣿⡿⣟⡾⣽⢳⣭⣟⢮⣿⣿⣿⣾⣿⣯⡳⣝⢯⡞⣽⡳⣭⢿⣿⣿⣝⡳⣭⣜⢲⢿⣿⣿⣦⣿⣿⣿⣳⢚⢧⣭⢳⣎⡟⡼⢣⣗⢮⢳⡥⢿⣿⣿⣿⣿⣿⣻⢫⡵⣛⣧⣟⣾⣿⣿⣿⣿⣿⣿⣿⠭⡞⣥⠳⣜⢻⣿⣌⢿⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣓⡳⣜⡳⣜⣿⣿⣿⣿⣻⢽⣾⣽⣻⢶⣭⠷⣞⣯⣿⣿⣿⢻⢿⣭⣟⡾⣳⢯⡽⣚⢿⣿⣷⣝⡚⣿⣯⡞⡽⣿⣿⡿⡻⢥⡓⢯⣚⡴⣫⠶⣹⢭⢳⣎⠟⣮⢿⡶⣩⣿⣿⣿⣿⣿⡧⣽⡹⣞⣼⣿⣿⣿⣿⣿⣿⣿⣿⠯⡵⣋⠷⣩⠞⣿⣿⡄⢻⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣇⠾⣱⢫⣼⢳⣿⣿⣿⣳⢯⣟⣾⡿⣽⢿⣞⡿⣽⣿⣿⣿⣧⡟⣾⣛⡾⣽⡳⣯⣳⢯⣻⣿⣿⣎⠷⣱⢞⡿⣿⣿⣿⡳⣝⡣⢟⣭⠳⣍⢧⢏⢷⣏⢾⣯⡝⣲⡍⣿⣷⣿⣿⣿⣾⣿⣿⣾⣷⣛⡿⣿⢿⣿⣿⣿⣿⣍⠶⣏⡵⢫⣝⡱⢯⡜⣿⣿⣄⢿⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣻⣬⣛⡵⢫⡞⣿⣿⣿⣞⣭⢿⣞⡷⣿⣯⣟⡾⣽⣯⣿⣻⣿⡳⣽⣻⣯⣷⢯⣽⣳⢯⣳⢿⣿⣿⣿⣽⣹⣿⣿⣿⣿⣿⣷⣣⠯⣝⡲⢻⡜⣯⢞⣾⣯⣾⣿⣜⣧⣾⣿⣿⡿⠿⢟⠻⢿⣿⣯⣿⣿⡿⠿⣿⣿⣿⣿⣛⣿⡾⡴⣋⠷⣬⢋⡷⢼⡹⣿⣿⡼⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡟⡶⣱⢮⡹⣇⢿⣹⣿⣟⣾⣿⣿⣾⣽⣿⣷⣫⢿⡿⣿⣿⣿⣿⡝⣧⢟⣿⣿⣟⣮⢿⣹⢧⡿⣿⣿⣿⣯⢿⣿⣿⡟⣻⣻⣿⣷⣿⡬⢽⣧⣿⣿⣾⣿⣿⣿⣿⣾⣿⣿⡟⣥⢎⡙⡤⣉⠆⡻⢿⡛⢣⠜⣩⢙⠻⡙⣿⣿⣾⣿⣷⣿⣳⢞⡭⢞⣣⠳⡽⣿⣶⢻⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡹⡵⣣⠷⣹⣜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣯⣷⢫⣗⣿⣾⣿⡽⢾⣹⠾⣽⣞⣭⢿⣭⠿⣽⣻⣿⣿⣷⢫⡿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⣿⣿⡏⢣⠜⡳⡔⢪⡑⠭⡑⢧⡚⣤⢋⠖⣡⠹⢏⢛⣻⠿⡿⣿⣾⣱⢏⡖⢯⡱⢿⣿⣾⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣯⢳⡵⣋⣾⣵⣾⣿⣿⣿⣿⣿⣷⣿⠿⣿⣯⣻⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣷⣾⣽⡾⣭⣟⣳⣿⣿⣿⣿⣣⢽⣙⡞⢶⢫⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⣼⣿⣿⣿⣿⣷⣃⠎⡵⡈⠷⣩⠒⣭⢚⠵⢪⡝⡺⣔⢣⢎⡬⡑⢎⡱⣿⣿⣿⣿⡾⡥⢏⣿⣿⣿⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣯⢳⣾⣹⣾⣿⣿⣿⣿⣿⣿⣿⣿⠃⢀⣽⣿⣿⣿⣿⠿⠁⠠⣾⡿⠿⣿⠉⠀⠉⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⡘⣞⡼⣚⣭⢳⣿⣿⣿⣿⣿⣿⣿⣭⣹⣿⣗⣼⣿⣿⣿⢳⠂⢥⠻⡟⢰⠛⡰⢡⠍⡤⢋⡜⣡⢚⠱⢎⢣⠚⡔⣩⢚⠤⡙⣞⣿⣿⣿⣗⢯⢾⣿⠹⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣳⣿⣿⣿⣿⣿⣿⠿⣿⣶⣿⠿⠿⠿⠏⠸⣿⡇⠀⢠⣤⠀⢿⣇⢠⣿⠃⢀⣸⣿⠁⠛⣿⡟⢦⣽⣿⣿⣷⣽⣚⡴⣫⢖⣿⣿⣿⠿⣷⣿⡿⣿⣿⣿⣿⣿⣿⡏⢲⡟⢢⠙⣄⣳⣯⣴⣿⣐⢣⣚⣤⣧⣶⣥⢊⡕⣊⢦⡙⠴⣁⠻⣮⡙⡟⢻⣿⣿⣯⣎⣿⡿⢘⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⢹⣿⣧⣄⠀⢴⣦⠀⢹⣧⣄⣿⣿⣀⢸⣿⣤⣅⣆⡠⣿⠇⠠⣿⠏⢀⢠⣿⠟⠛⠻⣿⣿⢷⣩⢞⣴⣿⣿⣼⣟⣿⡧⢼⣿⣿⣿⡃⠼⣾⣷⣿⣿⣾⣿⡿⠉⠉⣿⡿⢿⣿⠟⠉⢹⣿⣷⣺⣽⣶⣽⣦⣙⠣⡜⣣⠝⡢⢾⡿⣿⣷⣿⣿⢸⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣾⣿⣿⣿⣶⣾⠟⠈⢿⣷⣀⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣬⣀⡀⡿⠃⢀⣤⣾⣿⣿⣯⢖⣻⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠿⠿⠟⠋⢰⣿⡟⠉⢠⣀⢴⣿⡅⢨⣿⠁⣠⣼⣿⠙⢻⣿⣿⡍⢹⣿⣶⣙⠷⣮⣱⣾⢳⣿⣿⣿⣿⣿⡿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⣰⣾⣿⣿⣿⣻⣟⡿⣿⡾⣽⣾⡽⣞⡷⣯⡷⣯⢿⣻⣿⣿⣿⣿⣷⣼⣟⣋⣹⣿⣿⣿⣯⣓⣿⣿⣿⣿⡕⢎⠶⣁⣺⣿⣧⡀⡀⣶⣤⣄⣿⣷⣦⣾⣿⠀⣿⣿⣮⣥⣴⣻⣿⡷⣉⣾⠟⣁⣿⣾⠿⢿⣿⣿⣙⣛⣬⣃⣿⣿⡿⢹⣿⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⣾⣳⢯⣿⢿⣽⣳⢯⣻⡝⣯⢷⣻⡽⣟⣳⢯⢿⣼⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡉⢿⣎⣶⣭⣾⠟⠉⠿⣷⣼⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣠⣼⣿⠇⣆⣤⣾⣿⡿⢛⠛⣿⣿⣿⣦⣻⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⣭⣟⣾⣹⣶⣯⣯⡳⢿⡵⣯⣳⢯⡽⣏⡿⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡒⣡⣯⣽⣿⣿⡡⢀⣴⣿⣿⡿⢋⡍⢡⠢⠔⡢⠍⡆⣍⠣⡜⡡⢎⡔⢢⢩⡙⠟⣿⣷⣧⣼⣿⣻⣽⣿⣧⣯⠒⡍⢛⠻⣿⣿⣷⣆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣾⣿⣿⠿⠿⠿⠿⢿⣿⣷⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣯⣆⠱⡨⢔⠣⣍⠻⡱⢋⡜⡰⡛⢧⡝⢯⡞⢧⢣⡜⡱⣂⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠹⠯⠀⠀⠋⠉⠀⠂⠈⠘⠀⠀⠈⠉⠉⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⢻⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣷⢱⡪⢕⡪⠵⣩⣳⡼⢧⡙⢦⡘⠦⣘⢣⠳⣌⡳⣼⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣷⣾⣿⣿⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣵⡆⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣠⣬⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠟⡌⣿⣿⣿⣿⣿⣿⠿⡿⢋⢧⣵⣮⣵⣧⣿⡿⣿⣷⣾⣿⣿⣿⣦⣧⣿⣶⣷⢋⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣭⢼⡿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⡟⠿⢿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⡿⠄⠀⠠⠄⠈⣤⣀⡐⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠱⣊⢿⣿⣿⣿⣿⣿⣍⢳⣹⣾⣿⣿⠛⠛⣯⠁⠀⠠⠀⠀⠈⠁⠈⡉⠉⠉⠛⣿⣿⣬⣾⣿⣿⣿⣷⣿⣿⡟⣦⢍⢢⢻⣿⣾⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣃⠀⠀⢠⣻⣿⣿⣿⣯⠉⠹⣿⣿⣿⡿⠃⠀⠀⠠⠄⣸⣿⣿⡅⠀⠀⠀⠀⣿⣿⣿⣿⣿⡋⠅⣺⣿⣯⣿⣿⣿⣿⡟⣿⣟⢦⣹⣾⣿⣿⣿⣿⡏⣼⣿⣿⢻⣿⣿⣿⣆⣩⠀⠀⠀⡀⠀⣄⠀⠀⠀⣴⣾⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣿⣿⣾⡿⢃⠎⣿⣿⣿⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣤⣶⣿⣿⣿⣿⣿⣿⣄⡄⠛⣯⠥⠀⠀⠀⠀⠀⠀⠘⠿⠟⠋⠀⠀⠀⠀⠀⠈⣻⣿⠏⡁⢲⣿⣿⣿⣿⣿⢿⡱⣞⠾⣿⣷⣿⣿⣿⡿⣿⠟⣷⣿⣿⠉⢹⣿⣿⣿⣿⠟⠀⠀⢀⡀⠀⠈⠀⢀⠀⢿⣿⣿⣿⣿⠏⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣽⣿⣿⣿⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣽⣿⡙⠿⣿⣿⣿⣦⡀⣀⠒⠀⢀⠀⠀⠀⠀⠰⢠⣤⣶⣶⣶⣄⠀⣀⢋⣁⣠⣴⣿⣿⣿⠿⣯⢛⣦⠻⣜⢧⣛⢧⣛⡞⣿⣿⣶⣿⣾⣝⣿⣿⣆⣻⣿⠿⠁⠊⠀⠀⢸⣿⣰⠁⠠⠀⠀⠙⣻⢿⣿⡟⣀⣶⣿⣿⣿⣿⣿⣿⣿⠿⠏⠍⡽⣿⠿⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣧⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣷⣾⣶⣶⣶⣿⡿⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⠻⣴⢫⣖⣻⣜⢧⣏⢾⣡⠟⣽⡳⢿⣿⣿⣿⣷⣾⣿⣿⣿⣤⣴⣶⣶⣶⣆⣐⡄⣀⣀⣀⣄⣘⣵⣿⣿⣿⣿⣿⣽⣿⠿⣻⡿⠟⠿⢿⣷⣤⣴⣧⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣿⣷⣶⣶⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠘⠿⣿⣿⣿⡿⣿⠿⣷⢹⡜⣻⠴⣏⢶⡹⣎⠷⣎⢷⣫⡝⣶⡹⣳⢬⣻⡟⣽⣻⣿⡿⣿⣿⣿⣧⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣯⡉⢀⣲⣿⣷⡀⠀⠀⣹⣿⣿⣿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣷⣦⠀⣀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣾⣿⣿⣝⡮⣝⡼⢣⡽⣣⢟⣮⢳⡝⣮⢻⡜⣧⢳⡝⣶⡹⣥⣛⢦⣻⣿⣿⣿⢱⠎⡴⣈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣯⣙⣿⣿⣿⣿⣿⣿⣷⣾⡿⣿⣻⣷⣶⣾⣿⣿⣿⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣧⡈⣻⣷⣿⣿⢿⠿⠟⢍⣿⡿⠋⢉⣿⡏⢉⢻⣿⡙⠿⣿⡹⢿⣿⣴⢫⡜⣧⢻⡵⣫⢎⡷⣹⢎⡷⣹⢎⡷⣹⢶⡹⡖⡽⡺⣜⡻⢿⣿⣯⣜⣤⢣⣿⣿⣿⠛⠛⢻⣿⠛⠻⣿⡻⢿⣿⣿⣿⣿⣿⣿⠿⠿⠿⣿⣟⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠿⠉⠂⠠⠀⢻⣯⠀⠌⡀⣿⡅⢺⣴⣿⡆⠘⢻⣷⠀⠛⣿⣷⡝⣎⠷⣹⢵⣫⢞⡵⣫⢞⡵⣫⢞⡵⣫⢳⡝⣳⡝⣦⢻⣯⣿⣿⣿⡿⠿⣿⡿⠃⠜⢠⢸⣿⠌⡠⣿⡇⠈⠿⣿⣼⢿⣯⡄⠒⠉⠀⠙⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣸⣿⠏⢀⠠⠠⢁⠈⠍⠃⡀⢂⠀⢉⠴⣀⠘⠿⠓⠠⠌⢣⠆⢼⣘⣿⣿⣎⢻⡱⣎⢧⡻⣜⢧⡻⣜⢧⡻⣜⢧⡻⣜⡳⢞⣷⣿⣾⡿⢻⠏⡐⠸⢋⠁⠌⡀⠂⡉⢉⠒⡀⠻⠃⠌⡀⢋⡙⠀⠻⣿⣆⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣯⣀⣀⡀⢐⡀⠌⠐⠠⠐⠀⠌⢠⠘⡀⠂⠔⡀⠡⠐⠠⢈⠀⣉⣼⣿⣿⣧⡝⣮⠳⣝⢮⡳⣝⢮⡳⣝⢮⣏⢷⡹⣜⣫⣿⣿⣿⣼⣿⣤⣔⡈⠄⠊⡄⠐⠁⠄⣁⠊⡐⡀⢀⠀⠆⡁⠠⢀⢊⣹⣿⣾⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣿⣿⣿⣿⣿⣿⣶⣶⣦⣐⣤⣈⡄⠐⣠⣱⣦⣽⣦⣷⣦⣵⣶⣿⣿⣿⣿⣣⢞⣱⠻⣜⢧⡻⣜⣧⢻⡜⣳⢺⢬⣓⢮⢵⣾⣿⣿⣿⣿⣿⣿⣿⣶⣥⣔⠈⣐⠂⠠⣐⣤⣷⣬⣶⣦⡠⢴⣬⣾⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⣶⣿⡶⢿⡿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⣯⣿⣯⣯⣷⣿⣳⣆⣤⣤⣤⣤⣤⣶⣾⣿⡯⡄⠄⢸⣿⡿⢺⣧⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠋⢴⣿⣷⢀⢈⢹⣿⣶⣿⡿⠿⣿⣿⠁⠿⡿⠟⡀⠀⣀⢂⢿⡏⠉⠙⠻⢶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣤⣾⢿⡎⠛⠓⠋⣉⠁⠹⣿⣗⣿⢅⣠⡌⢻⣶⠶⠶⠧⢡⣾⠿⠇⢹⣇⠀⠀⠀⠀⠈⠻⢷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣾⠟⠉⠀⠈⣿⡀⠰⣿⡟⣃⠛⢯⠉⢿⣧⡛⣫⣿⠃⢀⣤⣤⡄⠐⠰⢠⡌⣿⡆⠀⠀⠀⠀⠀⠀⠉⠛⢷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣾⡟⠁⠀⠀⠀⠀⣿⣧⣀⠀⠘⠚⠁⠀⣴⣶⡿⣟⠛⣟⢷⣬⣿⢯⠇⠀⠸⣿⠇⣸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀ ⢸⡟⠀⠀⠀⠀⠀⠀⣿⠟⠯⡀⣿⡷⠮⣎⣿⢿⡿⠃⠀⠈⠛⢿⣟⣻⡶⢶⣶⠶⢾⣿⡵⠇⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀ ⠸⣿⣄⠀⠀⠀⠀⠀⡿⣦⣌⣡⣶⣵⣿⣿⣷⣿⣴⠶⠶⠶⠶⠶⠶⠾⣿⣿⣙⠛⠋⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣄⠀⠀⠀ ⠀⠈⠛⠿⠿⠿⠿⠿⠟⠓⠛⣿⣷⠋⣫⡿⢛⣥⣤⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢶⣄⡀⠀⠀⠀⠈⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣦⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⣾⠏⢰⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣦⡀⠀⠀⠈⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⠀⠘⠿⠿⠋⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⣠⣦⣄⠘⢿⣄⠀⠀⠀⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⡀⠀⠈⠢⠀⠀⠀⢸⣋⢙⡆⠀⠀⠀⠀⢰⣿⣿⣿⡆⠈⢻⡄⠀⠀⠀⠈⠻⣷⣄⡀⠀⠀⠀⠀⠀⠀⣽⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⡀⠀⠀⠀⢀⣀⣩⠉⠁⠀⠀⠀⠀⠈⢿⣿⠿⠀⠀⠘⣿⠀⠀⠀⠀⣰⡿⠙⠿⣶⣤⣀⣀⣀⣴⡿⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣶⣤⡾⠛⠉⠙⢷⡄⠀⠀⠀⠀⠀⠀⠐⠢⡄⠀⠀⣿⠆⠀⣠⣾⠟⠁⠀⠀⠀⠉⠉⠋⠉⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⢨⣿⡾⠿⠷⣶⣤⡀⠀⠀⢁⣠⣾⣯⣴⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠖⢀⣴⠟⠁⠀⠀⠀⠀⠉⠛⢿⠟⢿⣿⡉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢾⣟⡁⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣉⣿⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⣉⠛⠻⠶⣶⡶⠟⠛⠋⠉⠉⠉⠉⣻⣯⡤⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣟⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⣼⠟⠁⠀⠀⠙⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⡀⠀⠀⠀⠀⠀⠀⠘⠿⣦⣤⣤⡾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⢀⠀⠈⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⠟⠛⠃⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣀⣠⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠷⠶⠶⠶⠶⠶⠶⠶⠶⠾⠟⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⠍⠁⠉⣷⠀⠀⠀⠀⠀⠀⣠⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⡃⠀⠀⠀⢘⣿⠀⠀⠀⢠⣾⡟⠃⠀⠛⣿⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⡅⠀⠀⠀⣨⡿⠀⠀⢠⡞⠃⠀⠀⠀⠀⠙⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⣶⡀⠀⠐⣿⣠⢶⡶⣾⠀⠀⠀⠀⣀⡤⠄⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠉⠀⠀⠀⠈⠳⠶⠏⠋⠁⣶⡋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣶⡋⠀⠀⣶⣶⠀⠀⠀⠀⢰⣶⡆⠀⠀⠉⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⡁⠀⠀⠿⠟⠀⠀⠀⠀⠸⠿⠇⠀⠀⠀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠻⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⣠⡾⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢔⡚⢀⣇⠤⠒⠚⠙⠛⠦⣄⡀⠀⠀⠀⠀⠉⠉⠓⠢⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡜⠋⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⣄⠀⠀⠀⢀⣠⠤⠤⠤⢽⣢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣴⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣈⣳⣠⢞⠁⡠⠦⠤⠢⣀⣀⡇⢀⡠⣒⠶⣂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡞⢸⠀⠀⠀⠀⠀⠀⣀⡴⠚⠉⢉⡀⠀⣠⢄⣠⣜⠀⣀⠀⣠⠞⠱⠒⢡⡷⠋⠀⠀⣘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡼⠀⢸⡄⠀⠀⠀⢀⡼⠃⠀⡸⠤⠜⠀⠛⠀⣜⡻⠤⠿⠤⣟⢣⢤⡧⣄⠟⠀⠀⠀⠀⠀⣧⣤⢤⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⠃⠀⠈⣇⠀⠀⣰⠋⠀⡗⢆⠱⡄⠀⠀⠀⠀⣏⠀⠀⠀⠀⠀⢈⣱⠏⠻⡤⠰⠀⠀⠀⠀⠸⣏⠉⢉⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⡞⠀⠀⠀⢹⡄⢠⠇⢰⠉⠀⠈⢦⠙⣄⠀⣠⡶⢿⣆⠀⠀⠀⠈⠉⠘⣧⣤⢇⡀⠀⠀⠀⠀⣀⠼⠀⡞⢈⠉⠳⢦⡀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠹⣾⢠⡜⠂⠀⠀⠀⢣⡘⢾⠭⠓⠉⢸⠀⠀⠀⠀⣀⢼⠝⡀⠑⠫⠭⢎⣻⠭⢿⡉⢰⡁⠂⠌⠠⢀⠉⠲⡄⠀⠀ ⡅⠀⠀⢀⡔⠋⢁⡜⠹⡄⠀⠀⢀⡞⠳⡈⢳⣄⡀⠘⡧⢤⠴⣎⠝⡈⠐⠠⢁⠂⠡⢀⠈⡉⠣⠬⣏⠠⡁⠘⡀⠂⠌⠠⠙⣆⠀ ⢹⠀⢠⠏⠀⡸⠀⠀⠀⠙⢦⢀⡞⢁⠂⠹⣄⠻⡵⣄⢈⡽⣩⠅⣐⣠⡥⠲⠦⠙⠚⠓⠓⠲⠶⢤⣘⢷⣌⠐⠠⠁⠌⠠⢁⠸⡄ ⠈⡇⢼⠀⡀⢀⣠⠴⢰⠒⠺⡿⢀⠂⠌⠠⠘⣦⠙⣎⡿⢔⡷⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣦⡈⢳⡙⢷⣌⠐⡈⢁⠂⢄⡇ ⠀⠹⣦⠈⡖⠉⠄⠒⠈⠈⢹⠇⠠⢈⠄⡁⢂⠈⢷⡈⢷⠎⠀⣴⣄⠀⠀⠀⠀⠀⣀⠀⠀⠀⠻⠿⠃⠀⡇⣴⠋⠙⠒⠶⠾⠛⠀ ⠀⠀⠹⠄⠈⠁⠀⠀⠀⠀⢸⠠⢁⠂⡐⠠⢁⢂⣼⢳⡄⢣⡐⣿⡟⠀⠀⠀⠀⠘⠤⠂⠀⠀⠀⠀⠀⣰⡵⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⡀⠂⠄⣁⣢⠾⣥⡸⣟⣆⠱⡀⠀⠀⠀⠀⠀⠓⠒⠈⠀⢀⣀⠤⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠟⠞⠊⠁⠀⠀⠉⠛⢻⠒⠉⠲⡤⠤⠤⣤⠖⠒⣖⠛⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⠀⢰⠙⠦⣠⡴⣷⠦⠴⢿⠲⡄⠙⢿⢣⡄⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠉⠀⠈⢱⠊⠑⠒⠉⢣⠈⢳⣤⡞⢠⡇⠀⡇⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢰⠃⠀⠀⠀⠀⠈⠳⢤⣤⠤⠞⠀⢰⠓⠦⠤⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠲⠤⢯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⣀⣀⣀⣸⡦⠴⢾⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡏⠉⠉⠉⠉⠁⠀⠰⣯⡄⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⣄⣀⣀⣀⣀⣀⣀⣠⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠔⠋⣠⣤⣶⡶⠶⠶⣶⣤⣄⡉⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⢁⣴⡿⠋⠁⠀⠀⠀⠀⠀⠀⠙⠿⣶⡄⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⣠⡿⠋⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠈⢿⣆⠘⠦⠔⠊⣉⣠⣤⡴⠶⠦⣤⣤⣄⣉⠓⠦⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠏⢰⡿⠁⠀⠀⢀⡼⢃⠀⠀⠿⣇⠀⠀⠀⠀⠀⢻⣇⣠⣶⠟⠋⠉⠀⠀⠀⠀⠀⠀⠉⠙⠷⣦⡈⠳⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡼⠀⣿⠁⠀⠀⠀⠸⣇⡻⠦⢄⣠⡟⠀⠀⠀⢀⡔⣼⡿⠋⠀⠴⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⣆⠘⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⢸⣯⠀⠀⠀⠀⠀⠙⠛⠓⠛⠋⠁⠀⠀⣠⢫⣾⠋⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣆⠘⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠀⠀⠀⠀⠀⠀⣀⣤⣤⡀⠀⠀⢠⢧⡿⠽⠁⡑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⢱⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⢰⠀⠀⠀⠀⣠⠞⢉⣸⠎⢻⡆⠀⣎⣿⠃⠀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠈⠀⠀⠀ ⠀⢀⡠⠤⠀⠀⠀⠀⣿⢘⣬⣭⣷⡞⠡⠶⠋⠁⠀⢸⣇⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⣰⠟⠉⠛⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀ ⡰⢉⣤⣶⡖⠒⠒⣶⣾⣾⡈⡆⡻⣋⢻⣆⣴⣶⠀⠈⢻⡄⠸⣿⡀⠀⠀⠀⠀⠀⢼⡅⣞⠀⠀⠈⡗⠀⠀⣰⡆⠀⠀⠀⠀⠸⣿⠀⠀⠀⠀ ⡇⢸⡇⠷⠖⠛⠉⠩⣟⠡⠇⣾⣷⣁⢾⡏⠉⠀⠀⠀⠈⣿⡄⠻⣧⡀⠀⠀⠀⠀⠠⠿⣷⣗⡶⠾⢃⣴⡾⠋⠀⠀⠀⠀⠀⢈⡿⠀⡄⠀⠀ ⢳⡈⢿⣄⠀⠀⣠⢴⣟⢿⣷⡿⣵⣿⣼⣧⣤⣤⣤⣠⣤⣾⠇⠀⠙⢿⣦⣄⠀⠀⠀⠀⠀⣀⣤⡾⢟⠋⠀⠀⠀⠀⠀⠀⠀⠹⣿⡄⠱⡀⠀ ⠀⠱⡀⢻⣆⠀⠉⠉⠀⠈⣻⣟⡟⠀⠀⠀⢀⣀⣉⡁⣠⡶⠿⠶⣦⣤⡼⠟⠛⠿⣿⣿⠿⠿⣯⣴⣣⣤⣄⡀⠀⠀⠀⠀⠀⠀⠉⣿⡄⢳⠀ ⠀⠀⢣⠈⣿⡀⠀⠀⣠⡾⠋⠈⠀⠀⢠⣴⠟⠋⠙⠻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠈⠉⠉⠈⠙⢿⣦⠀⠀⠀⠀⠀⢸⣸⣧⠀⡇ ⠀⠀⠈⢆⠘⢿⣴⣾⠋⡄⠀⠀⠀⢰⣿⡏⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⢀⡀⠀⢀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠙⠷⠶⣶⡀⠀⢨⠀⣿⠀⡇ ⠀⠀⠀⠀⠑⡆⠸⣿⢸⠀⠀⢀⣤⣾⠛⠀⠀⠀⠀⣀⣄⣴⡟⠋⠻⠶⠾⠟⠙⠛⠛⠙⠛⢷⣤⣤⣄⡀⠀⠀⠀⠀⠀⠈⣿⣸⢰⠀⣿⠀⠀ ⠀⠀⠀⠀⠀⢱⠀⣿⡌⠣⠔⣿⠃⠀⠀⠀⢠⣤⣾⣿⣭⣥⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣬⣷⣬⡛⠛⣏⡄⠀⠀⠀⠻⣧⠀⢸⡿⠀⡀ ⠀⠀⠀⢀⡀⠈⡆⠹⣷⡆⠀⣿⡀⠀⠀⣠⡿⢃⡾⠁⢀⣨⣧⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⣼⣅⣀⠀⢳⡀⢻⣾⣆⠀⠀⠀⣿⢠⣿⠃⡸⠁ ⠀⢀⣀⢸⡇⠀⠘⢆⠙⢿⣤⡏⠀⠀⠐⣾⣄⢸⣿⣛⣿⣡⡟⠀⠀⠀⠀⢿⣿⠆⠀⠀⠀⢻⣄⣽⣉⣿⠃⣠⡾⠆⠀⠀⠘⣿⡿⠃⡰⠁⠀ ⠀⠈⠉⢱⡌⠛⠀⠈⠳⡀⠻⣷⣀⠀⠀⢼⣿⠃⠈⠙⠛⠉⠀⠀⠀⠀⣀⣀⣦⠀⠀⠀⠀⠀⠉⠙⠋⠁⠀⣿⡎⠀⠀⣀⣼⡏⢀⠞⠀⠀⠀ ⠀⠀⠀⢸⡇⠀⠀⠀⠀⠘⣦⠉⢛⣦⣀⡀⢛⣷⣦⣀⠀⠀⢠⠖⢶⣾⠋⢹⣟⢦⣴⣤⣄⠀⠀⠀⣀⣴⢾⣏⣀⣀⣼⡟⠉⢠⠋⠀⠀⠀⠀ ⠀⠀⠀⠈⠁⠀⡠⠒⢉⡉⢀⣴⡟⠈⠉⠙⠛⠉⠈⠻⣿⣻⣿⣦⣤⣿⠢⣾⡿⡇⠀⠀⠙⠿⣟⣿⠟⠃⠈⠛⠋⠉⠁⢻⣦⡈⢉⡉⠒⢄⠀ ⠀⠀⠀⠀⠀⢰⠁⣾⠋⠙⠛⣿⠀⠀⠀⠀⠀⠀⠀⢀⣾⣫⠿⣯⣿⡿⠻⠓⠶⠃⠀⠀⠀⢀⡿⣇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡛⠉⠙⣧⠈⡆ ⠀⠀⠀⠀⠀⠸⡄⠻⢦⡄⠠⣻⡆⠀⠀⠀⠀⠀⣾⠋⠉⣡⡗⠙⠉⠀⢀⡀⠀⠀⠀⠀⠀⣯⠛⢿⣦⡀⠀⠀⠀⠀⠀⢰⡟⠇⢠⣴⠟⢀⠆ ⠀⠀⠀⠀⠀⠀⠈⢦⡘⠛⢧⣪⣿⣄⠀⠀⠀⠀⠙⠻⣿⡏⠁⣤⢾⣟⠋⠛⠛⠻⢶⣄⡀⠹⣧⣤⣪⡇⠀⠀⠀⠀⣠⣿⣅⡼⠛⢃⡴⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠤⢄⠘⠻⠿⣶⣤⣤⣤⡾⠟⢷⣿⣇⡻⠟⠀⣴⡄⠘⣿⡏⣧⣀⡶⠿⢷⣤⣤⣤⣴⠾⠟⠃⣀⠤⠞⠁⠀⠠⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠢⠤⠀⠀⠀⠀⠐⢤⣈⡉⠛⠶⠶⢯⣥⡴⠶⠚⠿⠛⢁⠄⠤⡀⠀⠀⠀⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠒⠀⠀⠀⠀⠀⠀⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡶⠟⠛⠛⠶⣦⣄⣠⣴⠾⠛⠛⠛⠳⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣴⡟⠁⠀⠀⠀⠀⠀⠈⠻⠟⠁⠀⠀⠀⠀⠀⠈⠻⣧⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣤⡾⠋⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠋⠉⠉⠉⠛⢷⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣇⣀⠀⠀⠀⠀⠀ ⠀⠀⢀⣴⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢷⣄⠀⠀⠀ ⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀ ⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀ ⠀⣠⡿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣇⠀⠀ ⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀ ⢿⡄⠀⢀⣴⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⡀⣠⡿⠀ ⠈⠻⣶⡟⠁⠀⠀⢰⡇⠀⠀⠀⠀⠀⢀⣼⠷⣤⣤⣴⠾⠛⠷⠶⠶⠾⠛⢷⣄⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠉⢻⣿⠁⠀ ⠀⣸⡟⠀⠀⠀⠀⣾⠃⠀⠀⢰⣶⠶⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠙⣷⣄⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠹⣧⠀ ⠀⣿⠀⠀⠀⢀⣼⠏⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⡄⠀⠀⠘⣷⡄⠀⠀⠀⢹⡆ ⠀⢿⣄⣀⣠⡾⠋⠀⣤⣴⣿⠃⠀⢠⡞⠉⠳⡄⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⣴⠋⠙⢦⠀⠀⠈⢻⣶⠦⠀⠈⢿⣦⣀⣀⣾⠃ ⠀⠀⠉⠛⠹⣧⡀⠀⠉⡀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠯⠨⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠁⢀⢀⣠⡿⠉⠉⠉⠁⠀ ⠀⠀⠀⠀⠀⠈⠛⠿⠿⢷⣄⣙⣷⣤⣀⠀⠀⠀⠀⠀⠀⠲⠤⠤⠶⠂⠀⠀⠀⠀⠀⠀⣀⣤⡾⠋⣀⣼⠟⠛⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠉⠙⠻⠶⠶⣤⣤⣤⣤⣀⣀⣀⣤⣤⣤⣤⠶⠶⠟⠛⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠐⠉⠁⢀⣀⠀⠁⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠉⠀⣠⢖⡫⡝⢭⢛⢦⠀⠑⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⢀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠔⠀⢀⡴⣋⠳⡬⣑⠎⢧⡚⡼⡆⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡠⠂⠀⢀⣀⣀⠀⠀⠐⠢⢀⠀⡰⠃⠀⣴⢋⡖⣩⢣⠕⣎⡹⢆⢳⢹⠇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠂⠀⣴⠺⣍⠭⢭⣙⠳⢦⣄⠀⠉⠀⣠⠻⡌⣇⠮⣑⢎⡹⢤⢓⢎⣣⡟⠀⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡖⠀⢰⢫⡱⢊⢮⡑⣎⡹⢲⡘⠷⣄⣴⠫⡕⠳⣌⠞⣡⢎⠵⣊⢭⣲⠏⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⠀⢸⢇⣣⢻⣤⠫⣔⠣⣇⠭⡓⡽⣎⠧⣙⠳⣌⠞⣡⢎⡣⣍⡶⠃⠀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢹⠀⠸⣎⠖⣩⢛⣷⣌⠳⣌⠳⣉⢶⡟⣌⢇⡳⢜⢪⠕⣮⠕⠋⠀⣠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠜⠀⢀⣧⣛⡴⠿⢴⡹⣛⠾⢳⢻⡚⠵⣊⡜⢲⡩⢎⠞⣩⠳⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠀⢰⠁⠈⢉⣀⡀⢀⡷⣡⢋⢧⠲⣉⠧⡓⣜⢣⡱⢋⡼⢡⡛⢦⡙⢷⡀⠈⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⠀⠈⡲⠀⠧⡤⠇⠈⢳⢥⢋⢦⠛⣌⠧⡹⢤⢣⠣⢏⡴⢣⡙⢦⡙⢦⠻⡄⠈⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠰⡀⠈⣇⣀⣀⡶⢦⢴⠺⡜⢪⣌⣏⡦⠟⠓⠋⠉⠉⠉⠙⠓⠻⢦⣝⢪⡕⣳⠀⠀⠁⠐⠠⠤⠐⠈⠀⠀⢂⠀⠀ ⢀⡇⠀⣯⡙⢦⠓⣎⠎⢧⣹⠗⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣦⠈⠳⣜⣹⠀⢸⠓⠢⢤⣠⠤⠒⡹⠀⢰⠀⠀ ⠈⡇⠀⣧⡙⢦⢛⡤⢛⡞⠁⣴⣄⠀⠀⠀⠀⢀⣀⡀⠀⠀⠈⠻⠟⠀⠀⣟⡼⠀⢘⠀⠀⠀⠀⠀⠀⡇⠀⢊⠀⠀ ⠀⢧⠀⠹⣜⠣⠞⡬⡟⠀⠘⣿⡟⠀⠀⠀⠀⠳⠤⠃⡀⠀⠀⠀⠀⠀⣠⡟⢁⡴⠋⠀⠀⠀⠀⠀⠀⠘⢄⠀⠱⠀ ⠀⠈⢄⠀⠹⣍⡳⢱⣇⠀⠀⠀⠀⠀⠀⠀⠀⠓⠀⠒⠀⣀⣀⢀⡠⠜⠁⠀⠈⠓⠂⣤⡀⠀⢀⡤⠄⠠⠚⠃⠀⡀ ⠀⠀⠀⠢⡀⠈⠓⠧⣞⣧⣄⣀⡀⠀⢀⣀⣀⣠⣤⡄⡶⠓⠈⠳⡀⠀⣴⠟⠁⢀⠔⠁⢣⣠⠎⠀⡠⠄⠀⠀⠂⠁ ⠀⠀⠀⠀⢰⠀⢀⡄⠒⠊⠉⢻⡝⡿⠛⠛⢯⢲⣡⠛⡵⣦⠀⡀⡇⠀⠉⢀⡴⠁⢀⡀⠈⠁⠀⠔⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢄⠀⠹⣅⣄⣀⠎⠙⡁⡄⡀⠘⣷⠒⠛⠉⢉⡩⠴⣁⠀⡠⠊⠀⡠⠂⠈⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠇⠀⡎⠁⠈⠉⡄⠀⠑⠛⠚⠓⠉⠑⠦⣤⡀⠀⠀⢀⣹⠁⢠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⡆⠀⢃⡀⠀⡠⠃⠀⠀⠀⠀⠀⠀⠀⢠⠃⠑⠤⠤⠞⠁⢀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢀⡀⠀⡹⣄⠀⠀⠀⠀⠀⠀⠠⢺⠁⢠⡤⠄⠀⠤⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⢠⡁⢸⠀⠀⠀⠀⠀⠀⠀⡸⢄⠀⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠄⠀⠑⠺⢄⣀⣀⣀⣀⣀⡀⣀⣠⠃⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠓⠀⠄⠀⣀⡀⠀⠀⠉⠉⠁⢀⡀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣀⣤⠶⠶⠶⠶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡾⠋⠀⠀⠀⠀⠀⠀⠈⠙⠳⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⡶⣴⣤⣄⡀⠀⠀⠀⠀ ⠈⠻⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢦⡄⠀⠀⠀⠀⣠⡶⠛⠉⠀⠀⠀⠀⠀⠈⠙⢷⣄⠀⠀ ⠀⠀⠈⠻⢦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⢀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀ ⠀⠀⠀⠀⠀⠉⠛⠶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀ ⠀⠀⠀⠀⠀⠀⢀⡤⠶⠿⣿⣦⠗⠛⠒⣦⣀⠀⠀⠀⠀⠀⠐⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⡇⠀⢠⡇⠀ ⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠘⠇⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢸⣇⠄⠀⠀⠀⠀⠀⠀⠀⣠⡿⠀⠀⠐⢸⡇⠀ ⠀⠀⠀⠀⠀⠀⠹⣤⡀⢰⠞⠉⢳⡄⠠⣾⠁⠀⠀⠀⠀⠀⠀⠀⠛⢶⣤⣀⣀⣀⣤⡴⠟⠃⠀⠀⠀⠀⣿⠁⠀ ⠀⠀⠀⠀⠀⠀⠠⡏⠀⠈⠓⡶⠊⠀⠀⠘⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠰⣸⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣧⣀⣀⣠⡾⢦⣤⣤⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⡀⠀⠀ ⠀⠀⠀⠀⠀⢠⡿⠀⠈⠉⠁⠀⠀⠀⣀⣀⡀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠀ ⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⡴⠒⠒⣞⣁⡠⠽⠭⢄⣈⣳⣊⡉⠲⣄⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀ ⠀⠀⠀⠀⢸⡇⠀⡴⠋⢙⡵⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠳⢤⣀⣳⠤⢤⡀⠀⠀⠀⠀⠀⠀⠀⠐⢺⡇ ⠀⠀⠀⠀⢸⡇⡮⢇⡾⠁⢠⣶⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⣄⢹⣄⡀⠀⠀⠀⠀⠀⠀⠈⡇ ⠀⠀⠀⠀⠸⣿⡁⣼⠀⠀⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⠀⠈⠳⣄⢹⠦⠀⠀⠀⠀⠀⠀⣟ ⠀⠀⠀⠀⠀⠻⡟⢿⠀⠀⠈⠛⠉⠀⠀⠀⠀⣤⠤⣄⠀⠀⠀⠀⠀⣸⣿⣿⣧⠀⠀⠙⣎⠳⡄⠀⠀⠀⢸⢰⡏ ⠀⠀⠀⠀⠀⠀⠱⣜⣆⡤⠦⠤⣄⠀⠀⠀⠀⠛⠒⠋⠀⠀⠀⠀⠀⢻⣿⣿⡏⠀⠀⠀⢸⣤⠇⠂⠀⢠⢄⡾⠁ ⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠐⣾⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⢸⠃⡃⠁⠠⣠⡾⠁⠀ ⠀⠀⠀⠀⠀⠀⠐⡇⠀⠀⠀⠀⣼⣦⣤⣠⠦⢄⠙⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢿⡞⣡⣤⠾⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠸⣿⠉⠀⣹⣀⣙⣿⠏⠁⡽⠶⠤⣤⣤⣤⣤⣤⣴⡾⠅⠚⠛⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠳⣤⣀⠀⠈⠛⣿⠿⣌⡝⠝⡍⣘⣧⣀⣀⣀⣀⣤⣴⣶⣾⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⣳⡶⢻⠷⣮⣤⣤⣽⣥⣬⣭⣿⣿⢿⡖⠋⠉⠉⢳⡝⢧⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⣠⢺⣥⣧⣽⢂⡄⠀⠓⠀⠈⢻⡄⠀⠀⠀⠀⣿⣭⣧⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣋⠴⢺⠥⠚⠁⠀⠘⠦⣽⡒⢤⣄⣀⣼⢳⣤⡀⠀⠼⠃⣠⣷⡗⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠯⠜⠉⡏⠀⠀⠀⠀⠀⡄⣧⠉⠙⠲⣾⣯⣯⣏⣳⣶⣴⣾⣻⣉⣽⣵⡦⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠸⠄⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⣿⢄⠀⠀⠀⠀⠀⠀⠀⠉⢉⣽⡶⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠟⢦⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⢸⡀⠙⠒⠢⢴⣉⡦⠔⠚⠋⢸⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠦⠽⣉⣙⣟⠛⣛⠻⢿⠞⠿⡟⠿⣻⠛⣧⠀⠀⠀⠀⠁⠀⠀⠀⢀⡎⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣯⣉⣉⣻⣿⣃⠙⢍⣫⣁⠉⠉⠉⣉⣩⣿⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣤⣉⣉⣿⡀⠉⠛⠛⠧⠜⠛⠛⠛⠉⢡⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠛⠾⠶⠶⠶⠶⠞⠳⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀୭ 🧷 ✧ ˚. ᵎᵎ 🎀
🎀🍓໒꒰ྀིᵔ ᵕ ᵔ ꒱ྀི১
⣿⣿⣟⢸⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⡆⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠙⠛⢿⠀⡇⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢸⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡇⢸⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⠁⣿⣿⡟⠀⣿⣿⣿⣿⣿⣿⣿⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠿⣿⣿⣿⣿⣿⡇⢸⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢿⠗⠸⡇⢸⣿⢿⣿⢿⣿⣿⡿⣿⣿⣿⡿⣿⡇⠸⣿⣿⠃⣿⣿⣿⠰⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⢿⢿⢿⡇⢸⡇⣸⣿⢿⣿⣿⣿⠿⡿⣿ ⠒⠒⠀⢰⡇⠒⠒⠐⠖⠂⠒⠒⠒⠒⠂⠐⠒⠐⠂⢺⣿⣿⠆⢿⣿⡷⠂⠒⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣀⠀⠀⠒⠺⠖⠒⠒⠒⠒⠂⠲⠶⠐⠒ ⣿⣿⣟⢸⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⠀⣾⣿⡇⠀⣿⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣤⣴⣾⣿⣿⣿⣿⣶⣤⣄⡀⠘⠛⠿⢿⣿⣿⣿⣿⣿ ⣿⣿⣇⢸⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⡂⢻⣿⣿⠐⠋⠀⣠⣶⣶⣶⣶⣦⣤⣤⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣀⡀⠉⠙⠻⣿ ⣿⣿⡟⢸⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⡀⠿⠋⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀ ⣿⣿⣏⢸⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠸⠛⠉⠀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠻⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠿⠟⢸⡁⠸⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠁⢀⣠⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠿⠿⣿⣿⣿⣷⡀⠘⣿⣿⣿⣿⣿⣿⣿ ⣒⣒⠂⢺⡇⢒⢒⢒⡒⠒⣒⣂⣒⣒⠒⢒⠂⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢻⣿⣿⣿⠿⠛⠋⠉⣈⣿⣿⣿⣿⣿⠿⠿⠿⣿⣿⣿⣷⣶⣶⣶⣤⣾⣿⣿⣿⣿⡄⠈⣿⣿⣿⣿⣿⣿ ⣿⣿⣟⢸⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⢠⣾⣿⣿⣿⣦⣶⣾⣿⣿⣿⣿⣿⣿⣧⠀⠀⣠⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠘⣿⣿⣿⣿⣿ ⣿⣿⡇⢸⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠙⠿⠁⠀⠙⠛⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠙⠿⠿⠿⠟ ⣿⣿⣧⢸⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠻⣿⣿⣿⣿⣿⣿⣿⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣤⣤⣤⣤ ⣿⣿⣿⢸⣇⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠈⠻⠿⢿⠿⠛⠋⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠀⠉⠛⠿⠿⠛⠁⠀⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢠⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠻⠿⠛⠛⠛⠛⠻⠟⠃⠰⣤⣤⠀⣠⣤⣶⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⣰⣾⣿⣷⣶⣶⣶⣶⣾⣿⣷⡀⠈⠻⠿⠿⠿⠿⠻⣿⣿⣿⣦⠀⠙⠟⠛⠻ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⠁⣿⣿⠃⢀⣾⣿⣿⣯⡀⠙⠛⠛⠛⠛⠀⠼⣿⡟⠉⣉⣉⣉⡉⠉⠙⠋⢻⠇⠀⢀⣤⣤⣤⣤⣴⣿⣿⣿⣿⣧⠀⠙⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⠃⢀⣾⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣦⡄⠈⠇⢰⣿⣿⣿⣿⣿⣿⠀⡄⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⢻⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡏⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⣧⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠘⣿ ⠛⠛⠛⠛⢽⣿⣿⣿⣿⣿⣿⣿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠀⠃⢠⣿⣿⣿⣿⣿⡟⠻⠿⣿⣿⣿⠿⠋⠁⣰⡆⢸⣿⣿⣿⣿⣿⣿⠀⣿⡖⠀⡈⠉⠉⠛⠛⠉⠉⣹⣿⣿⣿⣿⡇⠀⠛ ⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠆⠀⠛⠛⠛⠿⣿⣷⣦⣤⣀⣀⣠⣤⣶⣄⡀⠀⠸⠿⣿⣿⣿⣿⠿⠀⠉⣀⣼⣿⣿⣿⣷⣾⣿⣿⣿⣿⡿⠟⠋⠁⠀⠛ ⣿⣿⣿⣷⡼⠛⠉⣛⣻⣿⣭⣄⣉⡉⠛⢿⣿⣿⣿⣿⣿⡿⠃⢀⣤⣶⣶⣶⣤⡈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣤⣤⣤⣤⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣶⣿⣶⣄ ⣤⣶⣦⣴⠀⠀⠉⠿⠿⠿⠿⠾⠏⠙⠀⢠⣤⣤⣤⣴⣶⡀⢀⣾⣿⣿⣿⣿⣿⣧⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠂⠸⠳⢶⣶⣶⣴⣶⢶⡾⠃⢸⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠛⠛⠛⠛⠀⢸⣿⣶⣶⣶⣭⣴⣶⣶⡇⠘⠛⠛⠛⠛⠛⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⣿⣿⣿⡆⢸⣏⣹⠿⡿⣿⢿⣋⣹⡇⢰⣿⣿⣿⣿⡿⠿⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⡿⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⣿⣿⣿⣿⣿⣿⣿⠏ ⠀⣽⣿⣿⠃⢸⣿⣿⣦⣤⣤⣼⣿⣿⡇⠸⣿⣿⠟⣫⣶⣿⣷⣄⠈⠛⠿⣿⣿⣿⡿⠛⠁⢀⠈⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠉⠉⠉⠉⠉⠀⠀⠘⠻⠿⠿⠟⠋⠁⣠ ⠐⠃⠙⠋⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠈⠛⠘⠛⠛⠛⠛⠛⠓⠂⠀⠀⠀⠀⠀⠀⠒⠛⠛⠓⠐⠀⠒⠒⠀⠐⠐⠐⠒⠀⠒⠒⠀⠒⠒⠒⠒⠛⠛⠋⠛⠛⠓⠂⠀⠀⠀⠀⠒⠚⠙ ⣿⣿⣿⣎⠳⠄⠈⠉⠙⠛⠛⠛⠉⡀⠀⣈⣴⣿⣿⣷⣦⣭⣭⣿⣛⣛⣛⣛⣛⣛⣿⣿⣭⣭⣭⣟⡛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣽⣿⣯⣥⣭⣭⣥⣶⣾⣿⣿ ⣿⣿⣿⣿⣿⣾⣶⣶⣶⣾⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠛⠛⠻⠛⠛⠛⠛⠛⠛⠛⠛⠻⠟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⠿⠛⠛⠛⠛⠻⠟⠛⠟⠛⠛⠛⠻⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⠿⠟⠛⠟⠛⠛⠛⠟⠻⠟⠛⠛ ⣿⡿⢿⣿⣿⣿⠿⡿⢿⢿⣿⣿⠿⣿⣿⣿⣿⣿⡿⢿⣿⡿⣿⣿⣿⣿⠿⢿⣿⠿⢿⣿⡿⢿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣷⣿⣿⡿⠿⢿⣿⡿⢿⠿⢿⣿⣿⣿⣿⠿⢿⣿⣿⠿⢿⢿⡿ ⣤⣶⣤⣤⣴⣶⣶⣤⣦⣤⣶⣶⣶⣶⣶⣤⣶⣶⣶⣶⣶⣶⣤⣶⣤⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣶⣶⣶⣤⣤⣤⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣤⡄⢰⣤⣴⣶⣶⣦⣤⣴ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠞⠁⠀⠑⡄⠀⠀⠀⠀⠀⠀⠀⢀⠤⠠⢄ ⠀⡘⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠔⠁⠀⠀⠈ ⠀⠇⠀⠀⠀⠀⠀⡄⠀⠀⠀⢀⠎⠀⠀⠀⠀⢸ ⠀⢸⠀⠀⠀⠀⠀⡇⠀⠀⠀⡌⠀⠀⠀⠀⢀⠃ ⠀⠈⡤⠤⡖⠐⢆⣇⡀⠀⣰⠀⠀⠀⠀⢀⠆⠀ ⠀⠀⣣⠰⢭⠂⢘⠆⠀⠀⠀⠀⠀⠀⢠⠊⠀⠀ ⠀⡰⠣⠄⠊⠉⠁⣀⡀⠀⢀⣀⡀⠀⠀⠱⠀⠀ ⠀⡇⠀⢀⠤⢊⡥⠄⠀⠀⠀⠀⡤⢕⢤⠀⡇⠀ ⠀⣅⠀⠎⠀⢻⣷⡞⢀⠀⠄⡘⢷⡾⠀⢃⡸⠀ ⡏⠀⠙⢆⠀⠀⠀⠀⢿⣿⣽⡇⠀⠀⢀⠎⠉⢠ ⠣⡀⠀⠀⠁⠢⡀⠀⠀⠉⠉⠀⣠⠔⠁⠀⠀⡸ ⠀⠈⠢⡀⠀⠀⢩⢛⡟⠀⢺⡛⡏⠀⢀⠄⠈⠀ ⠀⠀⠀⠈⢢⠀⠀⠉⠀⠀⠀⠈⢰⠔⠁⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀
⠀⠀⠐⠀⠄⠀⣀⠀⠀⠀⠀⠀⠈⢄⠀⠀⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠐⠢⣀⠀⠀⠀⠳⣄⠀⠀⠀⠀⠀⠰⣀⣔⠖⢡⣖⢿⡖⢤ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢀⠱⢤⣀⣀⣘⣧⡀⠀⠀⠀⠀⣷⢧⠀⠈⠛⠿⣿⡘ ⠑⠤⣀⠀⠀⠀⠀⡎⠀⡈⠧⢄⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⣿⠟⣦⡄⠄⠚⠃⠀ ⠀⠀⠀⠈⠹⣲⠒⡞⠀⠣⠤⠜⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⡇⠁⠀⠀⠀⡠ ⠀⠀⠀⠀⠀⠀⡴⠉⠒⠒⠉⠁⢉⡀⠤⠄⠀⠂⠀⠤⢀⠀⠀⠀⠘⡒⣶⡾⠟⢃ ⠀⠀⠀⠀⣀⣴⠁⠀⠀⠀⡠⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⢰⠐⠂⠈⠀ ⠀⠀⠀⢈⡷⠛⠀⠀⠀⡜⢠⣾⣿⣧⠀⠀⠀⠀⠀⠀⠀⢠⣶⣌⠄⠀⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠰⠀⠀⠸⠀⢺⣿⣿⠟⠀⠀⠀⠀⠐⠀⠀⢻⣿⣿⢸⢐⠁⠀⠀⠀ ⠀⠀⠀⠀⡀⢀⡡⡀⢲⠀⠀⠈⠁⠀⠀⠀⣰⠒⢲⡆⠀⠀⠉⠁⠘⡜⠀⠀⠀⠀ ⠀⠀⢀⠂⠀⠀⠈⠘⠦⣢⡀⠀⠀⠀⠀⠀⢯⣀⡼⠁⠀⠀⢀⡴⠛⠠⠀⠀⠀⠀ ⠀⠀⠀⢆⠀⠀⠀⠀⠀⠈⢏⠒⠠⠄⣀⣀⣀⣀⣀⠀⠤⡔⠉⠀⠀⠀⡇⠀⠀⠀ ⠀⠀⠀⢀⣁⠢⠄⡀⣀⣀⡀⠡⣀⠀⡠⠊⠀⠀⢆⠀⡰⠁⠀⢀⡠⠚⠁⠀⠀⠀ ⠀⠀⠀⠠⠐⢄⡀⠡⣀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡐⢲⠌⣀⣀⠀⠀⠀⠠⠀ ⠀⠀⠀⠀⠉⠀⠀⡠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⠀⠫⣉⣀⣉⠁⡀⠀⠀
⠀⠑⠤⡀⢀⠔⠒⠲⡃⠀⠀⠀⠀⢡⠀⢠⣼⠁⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⠀⡰⠈⠀⠈⢢⠐⠭⡀⠀⠈⠀⠀⠀⠀⠀⠀⢘⡄⠀⠀⠀⠀⠀ ⠂⠀⠈⣌⠙⡢⠀⠡⢀⠀⡀⠌⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠛⢌⢢⠀⠀⠀⠀ ⠀⠀⠀⠈⢳⡀⠀⠀⠀⡰⠄⣀⣀⠤⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢗⢄⠀⠀ ⠀⠀⠀⡰⠁⠀⠒⠒⠊⠀⡀⠤⠀⠒⠒⠒⠒⠀⠤⠄⡀⠀⠀⠀⠀⠀⠈⠳⡈⠲ ⠀⠀⢰⠃⠀⠀⢀⠤⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠢⡀⠀⠀⠀⠀⠸⡀ ⠀⠀⡇⠀⠀⡰⠁⣰⡟⠉⠻⡆⠀⠀⠀⠀⠀⠀⢠⠞⠛⢶⣄⠈⠢⡀⠀⠀⠀⠁ ⠀⠀⡇⠀⡸⠀⣼⡟⢳⣄⣰⣧⠀⠀⠀⠀⠀⠀⢸⣀⣠⡾⠻⣧⠀⠰⡀⠀⠀⠀ ⠀⠀⡇⠀⡇⠀⠻⣧⣶⣯⣼⡟⠀⠀⠀⠀⠀⠀⠹⣧⣹⣷⣴⡾⠀⠀⡇⠀⠀⠀ ⠀⠀⠘⡄⢡⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⢀⠃⢠⠃⠀ ⠀⠀⠀⠘⢦⡑⢀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢊⢴⠁⠀⠀ ⠀⠀⠀⠀⡀⡌⠚⠷⡔⠁⠀⠀⠁⠢⡀⠀⠠⠊⠀⠀⠈⢂⡠⠔⣷⠁⡟⠀⠀⠀ ⠀⠀⠀⢠⠊⠀⠀⡞⡄⠀⠀⠀⠀⠀⢱⠎⠀⠀⠀⠀⠀⢸⣳⠀⡿⠀⡇⠀⠀⠀ ⠀⠙⠁⠀⠀⢀⡗⠉⠈⠀⠀⠀⠀⢀⠌⠡⠀⠀⠀⠀⠀⠁⠈⢂⠀⠀⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⢤⣇⠀⠀⠀⠀⠀⠈⠀⠀⠀⢸⣟⣤⣤⣴⢴⣴⠸⡧⣤⣴⣖⢠⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠲⣄⠀⠀⠀⠈⠑⢿⣆⣴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢦⣄⠀⠐⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠉⣉⣠⠼⠟⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡤⠤⢤⣤⠖⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣀⣤⠤⠤⠔⠒⠒⠛⠉⣉⣁⣀⣒⣡⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⠋⢁⣴⣄⣠⣤⣴⣶⣾⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⡄⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀ ⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⢀⠠⣾⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠃⠒⠒⠢⣄⠀⠀⠀⠀⢳⠊⠉⠁⠀⠀⠀⣿⠁⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢄⡀⠻⡀⠀⠀⠀⠀⠈⠳⣄⠀⠀⡌⢇⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀ ⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⢙⢦⠀⠀⠀⠀⠀⠈⣇⠀⡇⠘⣆⠀⠀⠘⠓⠾⣇⠀⠀⠀ ⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠷⢤⣀⠀⠀⢢⡇⠀⠀⠀⠀⢠⠛⠳⠁⢠⠏⠳⣄⠀⠀⠀⠈⠓⠤⡀ ⠀⠀⢸⣿⣿⣿⣿⣿⡿⠋⠀⠠⡀⠀⠀⣠⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠈⠙⢦⠜⠁⠀⠀⠀⠀⠈⠀⠀⢰⡏⠀⠀⠈⠳⡄⠀⠀⠀⠀⠁ ⠀⠀⠀⠙⠻⢿⣿⣿⠀⠀⠀⠀⠙⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠀⠀⠈⢳⡀⠀⠀⠀⠈⢦⠀⠀⠀⠀ ⡃⠐⠒⢂⣈⣿⠁⢸⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣆⡀⠀⠀⠀⠀⠀⠀⠀⡴⠊⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠈⢇⠀⠀⠀ ⣷⣿⣿⣿⣿⠛⠀⠀⢳⠀⠀⢳⠀⠀⠀⠀⣳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡨⣄⠙⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠈⠂⠀⠀ ⣿⣿⣿⣿⢁⠀⠀⠀⢿⠀⠀⢘⡀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠤⠔⠚⠉⠀⠈⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠀⠀⠀⠀⠘⣆⠀⠀⠛⠑⣦⣌⡀⠀⠀⠀⠀⢀⣠⣤⣒⡮⠤⠿⠟⠛⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠾⣦⣄⠀⢠⠤⠤⠤⡤⠔⠺⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣉⣉⣽⠇⠀⠀⠀⠀⠀⠈⠉⠉⠉⢹⠁⠈⠉⠉⠉⣉⡽⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠲⣄⠀⠀⠀⠀⠀⠙⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣨⡏⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⢀⡜⠳⣄⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀ ⡿⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡀⠀⢠⠏⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣶⣤⣤⣶⠿⠃⠀⠀⠀⢱⠀⠀⢀⠞⠁⠀⠈⠙⠦⠤⠤⠶⠚⠀⠀⠀⠠ ⠇⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⣠⠎⠀⢳⡀⢸⠀⠀⠘⠷⠶⠶⠿⠟⠀⠀⠀⠀⠀⣶⣶⠄⠀⠀⠀⡀⠀⠀⠀⠀⠀⡠⠔⠲⡆⠀⡼⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠖⠋⠀⠀ ⠀⠀⠀⠀⠀⠙⠦⠤⠤⠤⠞⠁⠀⠀⠀⠙⢎⣧⡀⠐⠦⢄⡀⠀⠀⠀⠀⠀⠀⢀⣈⣡⠤⠤⢤⡾⠃⠀⠀⠀⠀⠘⠧⠖⢋⣠⠾⣓⡭⠤⠤⠤⠤⢄⣐⣚⠛⠲⢾⣁⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢦⣄⡀⠑⠀⠀⠀⠀⠀⠘⠋⠁⠀⠀⠀⠸⠿⠀⠀⢀⣀⡤⠤⢴⠒⣉⡵⠋⠁⠀⢀⢀⣀⣀⡀⠀⠉⡉⠒⢤⡀⠉⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢹⣲⠖⠒⠒⠠⠤⠤⠀⠶⠒⠂⠒⠈⠉⠁⠀⠀⣠⠋⡀⠁⢦⠀⠀⣞⠉⣀⠈⢷⣄⡉⢲⣍⠳⡐⡿⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠞⠁⠀⠃⠀⠀⠑⢤⠙⠷⣌⣓⠦⠭⠷⢤⡽⢴⣃⡴⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⢀⣀⣠⣴⠖⠒⠚⢳⡤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠈⢦⡀⠀⠉⠉⠉⠉⠉⠛⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠚⠉⣠⠞⠉⠀⠀⠀⢀⣀⡐⣏⠨⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡴⡊⠁⠈⢠⠾⡃⢰⠀⠀⡶⠊⢧⣀⢳⣬⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠐⠒⠛⠉⠉⡟⠀⠈⢧⠣⣀⠐⡄⢹⡳⣄⠻⢧⡑⠀⠉⠓⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠣⢄⠀⠈⠳⠬⠷⢍⠲⠬⣉⣁⡀⣏⠓⠤⢄⣀⠉⠓⠲⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠀⠀⠒⠒⠛⠒⢒⣒⠤⠈⢷⡀⠀⠠⢀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠤⠙⠆⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛ ⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛ ⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛ ⬛⬛⬛⬛⬜⬜⬜⬜⬜⬛⬛⬛⬛ ⬛⬛⬛⬛🟪🟪🟪🟪🟪⬛⬛⬛⬛ ⬜⬜⬛🟪🟪🟪🟪🟪🟪🟪⬛⬜⬜ ⬜⬜⬛🟪🟪⬛🟪⬛🟪🟪⬛⬜⬜ ⬜⬛⬛🟪🟪🟪🟪🟪🟪🟪⬛⬛⬜ ⬛⬛⬛⬛🟪⬛🟪⬛🟪⬛⬛⬛⬛ ⬛⬛⬛⬜⬜⬜⬛⬜⬜⬜⬛⬛⬛ ⬛⬛⬜⬛⬜⬜⬜⬜⬜⬛⬜⬛⬛ ⬛⬛⬜⬛⬜⬜⬜⬜⬜⬛⬜⬛⬛ ⬜⬛⬜⬜⬜⬜🟨⬜⬜⬜⬜⬛⬜ ⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜ ⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜
⠀⠀⠀⠀⠀⢀⡆⢢⡐⠄⡂⢄⡐⠠⣀⠙⠐⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣐⠣⢜⡠⡑⢂⠤⠁⠤⠈⠴⡀⠓⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⢆⡙⢢⠔⡱⡈⢆⡉⠤⢉⡐⢈⠡⡀⠕⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠀⠀⠠⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⢎⡕⡣⢎⡱⢘⠤⡘⢄⢂⠰⢈⡐⠄⡈⠌⢢⠀⠀⠀⠀⣠⠄⠂⠉⠀⠀⠀⠀⠀⠀⠀⠑⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢯⡼⡱⢎⡴⣉⠲⣁⠎⡐⢂⠆⡐⡈⠔⡈⠄⣣⠀⡠⠋⡀⠀⠄⡈⠄⡉⠄⡁⢂⠁⡀⢀⠠⠉⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣷⡝⢮⡔⣣⠓⣌⢒⡉⢆⠒⡐⠐⡂⠌⡐⢠⡳⢡⠐⠠⢁⠂⡐⡐⠠⠒⡈⠄⢂⠐⣀⠂⡡⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣯⡳⣜⢥⠫⡔⢣⠜⡠⢃⠜⡐⠠⡑⠨⣅⠚⠤⣈⠰⢀⢊⠐⠄⡑⢂⠡⡘⢄⠣⣄⠣⡔⢣⢼⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡜⣎⢳⡩⢆⢣⡑⢊⠔⠠⡑⢠⣹⠦⣙⠦⡐⢢⠈⢄⠊⠰⡐⡈⢆⡱⢊⡕⢦⢳⣙⠦⢢⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡸⢇⣇⡛⢤⡘⢄⡘⢃⢀⢻⣇⢿⡸⢤⠻⣄⠛⡄⡘⢣⣀⠻⣄⢧⡟⣼⣛⣧⣛⠼⣣⠼⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡝⣧⠒⣍⠒⡌⠢⢐⡈⠄⡚⣽⢎⣷⢫⠷⣬⣛⡴⣹⢦⣝⣳⡽⣮⣟⡾⣝⠶⣩⠞⡰⢚⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢆⡛⢤⠩⡐⢁⠂⠐⢀⠀⠈⠻⢮⣟⡽⢧⣻⡼⢯⣟⠾⠓⠛⠣⢏⠞⡍⠚⣄⠫⢔⡉⢾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠚⡮⡝⠠⢁⠠⠀⢈⠐⠀⡐⠈⡀⠂⠍⠛⢋⠉⠩⢉⠀⠄⠂⡁⠂⠌⡐⢈⠱⢀⠃⠆⡜⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠧⢀⡁⠂⠄⡁⠂⠄⡁⢀⠂⠄⠡⢈⠐⠠⠈⠔⠠⠈⠄⠡⢀⠁⠂⠄⡁⠂⠄⡈⠰⠈⡐⠘⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡽⣁⠂⡡⠄⢡⠂⠄⡁⢂⠐⠠⠈⠄⡁⠂⠌⢠⠡⠈⡄⣁⠊⡐⠄⢊⢁⠂⡐⢁⠂⠌⡐⠀⡐⠀⢂⡗⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠁⢆⠡⡐⠨⡀⠌⡐⢀⠂⠌⠠⢁⠢⠠⠑⡨⢀⠆⢡⠐⡀⠆⠡⠘⣀⠢⠘⡀⠆⠌⡐⠠⠁⠄⡁⢂⠐⠌⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢐⡟⢤⡙⡄⠣⢌⢡⡐⢢⠐⡂⢌⠠⣁⠢⠐⠡⢡⠐⠂⠌⠄⣂⠡⠘⣀⠃⠄⣂⠡⠐⠌⡠⠑⡠⢁⠂⠔⡈⠰⡈⢌⠱⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⡘⢦⡱⢎⠵⣊⡦⣱⠧⠞⠴⠬⠶⠤⠥⠭⠦⢥⣊⡱⣈⠒⡄⢢⠡⢄⡘⠠⠄⢂⡉⠰⠀⡅⠰⢀⢊⠰⢈⠥⡐⢌⠢⢥⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⢧⡹⢎⣵⠯⠓⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠚⠤⣇⠢⡘⠰⡈⢄⠂⡅⢡⠐⡡⠌⡠⢊⠔⢢⠑⡌⢢⢉⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣮⢣⣽⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⢵⡈⢆⠱⡈⢄⠣⡐⢡⠂⠥⢊⠆⡭⡐⠣⣌⢹⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣏⢷⡏⢀⣴⣦⣴⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣄⣀⡀⠀⠀⠀⠀⠈⠷⣢⠱⢌⢢⠱⡁⢎⡑⢣⠚⡤⣉⠳⣄⢛⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣧⢻⠀⢺⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠈⢧⢊⠦⣑⠩⢆⡙⢦⡙⢴⡡⠳⣌⢺⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢧⢿⡐⠛⠻⣿⡿⠃⠀⠀⠀⠀⠠⣾⣷⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠈⢇⠞⡤⢋⡖⠭⣆⡝⢦⡙⢧⢎⣽⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣿⡧⣀⡀⠉⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢛⠀⠀⠀⠀⠐⡄⠀⠀⠀⠈⣯⢜⡣⢞⡱⢮⡜⣧⢏⡷⣺⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢈⣿⣤⠂⡂⠀⠀⠀⠀⠀⠓⠒⠒⠒⠶⠶⠦⠀⠀⠀⠀⠀⠀⠀⠈⠒⠒⠒⠉⠈⠣⠀⠀⠀⣟⡮⣝⢯⣝⡧⢿⣜⢯⣞⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠒⠂⠒⠛⢻⣯⣥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣯⡟⣾⣽⣮⡟⣯⡞⣽⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠾⣆⡠⣀⡀⠀⢀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⡀⠀⠀⣀⣼⣾⡽⣞⣷⡷⣛⡾⠕⠛⠐⠂⠒⠀⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠒⠲⠦⡴⠦⣄⣦⣥⣌⡐⢀⣂⠁⠌⣠⢁⣌⣌⣡⣶⣿⣿⡿⣿⣿⠿⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⠐⠂⠂⠒⠒⠂⠀⠤⠐⠤⠤⠄⠤⠤⠠⢤⡂⡉⠄⡐⠂⠄⡀⢈⡭⠊⢸⠉⡉⠤⢉⠉⡉⢉⠉⡁⠈⠉⡑⠦⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠳⣀⠑⠠⠡⢂⣸⠟⠀⠀⢸⠡⠐⡐⢂⠡⡐⢨⢐⣀⡡⠖⠒⠹⡖⠉⠀⠀⠀⠀⠀⠀⠒⠒⠒⢰⣏⡝⡒⠶⠤⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠈⠋⠦⣁⣴⠋⠀⠀⠀⢸⡠⠅⣒⣀⠦⠒⠓⠉⠀⠀⡀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣟⡶⢍⣞⡀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠈⢢⡀⠀⠀⠀⠀⠀⠀⣀⠄⠉⠙⠛⠻⠦⣽ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠈⠀⠐⢄⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⠀⠀⠀⠀⠈⠡⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
/ᐠ - ˕ -マ ᡣ𐭩 . ₊ ⊹ . ₊˖ . ₊./づ~ 🍓". 𔓘 *ੈ♡⸝⸝🪐༘⋆ 𝐒𝐭✰𝐫𝐠𝐢𝐫𝐥 ᕱ⑅ᕱ
⠀⠀⠀⠀⠀⠘⡀⠀⠀⠀⠀⢀⣀⣀⣀⡴⠋⠑⠒⠠⠤⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢃⢀⣴⣋⢀⣯⠷⡍⣪⠉⠉⠒⡤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡸⠇⠰⠵⢀⡹⠽⠕⠛⠀⠀⠀⠀⠀⠱⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⣀⠠⠮⠂⠉⠉⠂⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢢⠀⠀⠀⠀⠀ ⢰⠉⠀⠀⠀⢀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⢰ ⠀⢁⡶⢲⠈⠁⠀⡤⢚⠒⠒⠢⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠠⠒⠉⠀ ⠐⠉⠀⢸⡄⠀⡹⣴⣿⡇⠀⠀⠀⠀⠉⠒⢲⠀⠀⠀⢠⠀⢃⠇⠐⠠⠄⠀ ⠀⠀⠀⠀⢣⣀⠇⠈⠛⠁⠀⠆⠀⠀⣼⣿⡆⢱⠢⠀⢸⠀⠈⢂⠀⠈⡄⠀ ⠀⠀⠀⢀⢴⠓⠳⢄⡀⠀⠐⠄⠀⠀⠙⠿⠃⠜⠆⠀⠈⢆⠀⢀⡆⠀⡇⢈ ⠀⠀⠀⠀⠢⠀⢠⠃⠈⠒⠤⠀⣀⠀⠀⢀⡜⠀⠀⡠⠂⠁⠉⠉⠁⠀⠈⠂ ⠀⠀⠀⠀⠀⠉⠺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢱⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⢄⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠉⢢⠴⠥⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠤⣑⣦⡄⢦⣀⠀⠀⠀⡀⣰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⡿⠭⠰⡒⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠒⠦⣀⠀⠀⠀⠀⠠⣄⠀⠀⠀⠀⠀⢀⣤⣒⣲⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡊⠈⠀⠀⠈⠉⣦⠞⡵⠟⠉⠙⢿⣈⢾⠏⠀⠀⠀⠀⡷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⣀⡵⣓⠽⠛⠛⠻⠭⣍⣙⡍⡉⢉⡩⣝⣻⣧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣙⢞⠉⠁⠖⠉⠀⠀⠀⠀⠀⠄⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠑⠺⣿⣷⣤⡄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⡀⠌⠁⠩⠆⠀⠀⣠⡀⠀⠀⢀⠔⠋⠗⠉⠁⠀⠈⠙⡯⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠐⠉⠀⠀⠀⠁⠀⠀⠀⡇⠀⢀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠇⢣⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠃⠀⠀⠀⢀⠈⡁⠁⠀⠀⠀⠀⠀⠀⠀⠀⡇⣠⠃⠀⠀⠀⣰⣶⡯⠁⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡸⠀⠀⠀⠄⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠁⠀⠀⣀⣾⣿⡿⠃⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⠀⠁⠀⠠⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⡇⠀⠀⠀⠋⣻⠏⠀⠀⠀⠸⣍⡉⣹⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡃⠀⠂⠀⠀⠠⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⢀⠇⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⡜⠁⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡆⠀⠀⠀⠀⠐⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⢀⠎⠀⠀⠀⠀⠑⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠁⠀⠀⠠⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⣠⣴⠏⠀⠀⠀⡐⠁⠀⠀⠀⠀⠀⠀⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⢰⠥⠤⠤⠔⠶⠚⠋⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠄⠀⡐⠂⠉⠉⠉⠁⢆⡀ ⠀⠀⠀⠀⠀⠈⢇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⢂⠂⠉⠀⠁⠀⠀⠂⠂⠀⠀⠀⠀⠀⠀⠀⠀⢑ ⠀⠀⠀⠀⠀⠀⠀⠀⠑⠢⣄⡀⡀⢀⣀⣀⡤⣤⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡂⠄⠀⠀⠀⠀⡠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠄⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠇⠁⠒⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠄⣀⡠⠤⠔⠂⠊⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡔⠀⠀⠀⠀⠀⠑⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠢⡀⠀⢀⠤⠂⠁⠀⠀⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠁⠑⠀⠂⠄⠄⠤⢤⡀⣀⣀⠀⠀⠀⠀⠀⠀⠀⢀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠇⡀⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠩⠢⣀⠀⠤⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣛⠿⡛⡟⣿⣭⢝⣣⣫⣍⢾⣴⣿⣿⢻⠿⣷⡀⡱⢈⢦⡿⠀⠀⠀⣿⣿⣿⣿⣯⣿⠿⠽⠓⠛⠛⠓⠶⣿⣽⡇⢯⣿⣿⢿⠿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣥⣿⣿⣿⣿⣿⠠⠌⡟⠶⡴⢬⣀⣂⣄⣠⣠⣤⢶⡖⠷⣾⢿⢯⣛⣿⣿⣭⣓⠜⢢⢣⡘⣤⣿⣿⣟⠐⢌⣷⣻⣿⣲⡽⢻⠠⠩⠿⣮⣄⠢⢁⠆⡐⠀⢄⠂⡙⠡ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣏⢎⡵⠎⠱⠝⠶⣉⠡⠔⣿⣿⣿⣿⣻⣿⢧⢮⢼⠧⡑⢂⢻⡄⠀⠀⠀⠻⣷⠟⠁⠄⠐⣀⠈⠀⠀⠀⠀⡀⠘⣾⢎⣾⣿⣇⣏⢮⡱⢫⣽⠿⣿⣿⣿⣿⣿⡿⠇⠿⣿⢿⣾⣿⣿⣿⠠⢍⡐⡃⠔⡰⢉⠭⢩⠍⡉⠴⣿⣤⡶⣟⢮⣷⠡⢈⣿⣿⣿⡛⠛⣻⣶⣿⣟⡳⣞⡿⣻⢧⡿⢿⣾⢣⠌⠬⢌⡐⣘⢷⡪⣁⠢⠡⢃⠐⠴⣐⣡ ⣿⣿⣿⣿⣿⣏⠳⣩⣖⢯⡖⡁⣤⣶⡿⢿⣷⣤⠀⢀⠈⣻⣧⡀⠝⠐⠋⣽⣿⣶⣿⣿⣿⡓⠀⡀⠀⣡⣤⣀⣀⣼⣷⢀⣠⣴⣶⣶⣧⣀⢸⠧⡟⣡⠻⢿⠎⠀⢫⡝⢿⢿⢖⣻⣿⣿⣿⣿⣦⣿⣿⣿⣿⣿⣿⣿⠐⡂⠔⡡⢀⠰⢉⠰⢡⣈⣁⣷⣿⡺⢵⡟⠉⢹⣿⣯⣿⣿⢿⣽⡻⣯⢻⡿⢶⠿⣿⡿⣵⢫⣧⣽⡏⢆⡊⢥⣦⣰⣀⢺⣿⠞⠳⠷⣮⣼⡟⢫⠉ ⣿⣿⣿⣓⠾⣜⢯⡵⣾⢾⠀⣾⣿⣿⣦⣾⣟⣿⣿⣤⣾⣿⡿⠏⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣦⣤⠀⢻⣿⡿⠟⠿⣿⣿⣿⣏⣉⣿⣿⣷⣨⢻⣶⣥⠋⠎⠀⠀⠀⣹⣿⣿⣪⣕⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠉⣆⠑⢢⠅⣊⣥⣿⣿⡿⣿⣿⠽⣗⣻⣶⣿⣦⣙⣶⣿⣾⡷⠿⣽⣿⣯⣧⢿⣿⠛⡙⣿⣿⠛⡠⢃⡴⣎⢳⣋⡟⣿⡹⣌⡉⢖⣹⡷⢐⠢⡉ ⣟⡻⢗⡭⠘⣭⣾⣿⠇⡾⢰⣿⡿⣽⣞⣷⢯⣿⣹⣿⡿⢁⢢⣿⣶⣿⣿⣿⣿⣿⣿⣿⣽⣟⣿⣿⣷⣮⡍⠐⠀⣼⢋⣿⡽⣯⣟⡿⣾⣛⣧⠳⠥⠸⠧⣤⡁⠀⠀⠙⠚⠿⣟⣻⡏⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⢣⢄⡉⠆⡒⣽⣿⣿⣿⣇⣼⣿⣄⣺⢷⣫⣿⡏⠉⣿⡟⠿⠷⢟⠻⣩⠻⣿⣧⣟⡶⣵⣿⣿⣶⠳⣌⠻⣍⢧⣳⣼⢿⣧⡹⡜⣼⣿⣛⢿⣳⢶ ⣾⣿⡶⠼⣙⣌⣫⣫⠜⠁⣿⣿⣿⣧⣼⢿⣿⡾⢿⣿⣦⣼⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⡟⣟⡿⢿⣷⢻⣿⣽⢿⣿⠳⣶⣤⣄⡈⠁⢀⣈⣠⣤⣤⣌⣁⣙⣒⢿⣿⣿⣿⣿⠿⣛⠩⠒⢠⢘⠢⡐⠬⣘⣴⣿⣿⣿⣿⣿⣿⣻⣿⣷⡹⣎⣾⣿⠟⡏⡍⡎⡝⢪⢑⠢⠐⠈⡙⠛⠿⠛⢋⡁⠻⠿⢾⡷⠟⠛⠭⢒⢡⠹⣛⢛⢿⣷⡚⢦⡝⡎ ⠿⠿⠁⠀⢉⠉⢁⢰⣶⣿⣿⣿⣿⣏⣇⢷⣿⣆⣱⣿⣿⣿⠇⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣇⣰⣿⣷⣸⢹⣿⣿⣾⣿⣿⡿⢿⣿⡿⢿⣿⣿⢿⣿⣿⣿⣆⠹⣿⡿⠉⣆⠸⣰⣶⣿⣶⣾⣆⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣉⡹⢎⣱⡸⢸⠀⠁⠆⠀⠆⠁⠆⡀⠆⠀⠸⡀⠀⠁⠁⣾⣷⡉⣉⡰⠎⡆⠷⣈⡈⡆⣿⣿⣇⠾⢱ ⡶⠶⣶⣶⣶⣤⣶⣿⣿⠛⢻⣿⣷⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣷⣿⣿⣿⣛⣿⣿⣿⣿⣏⣙⣾⣷⣿⣿⣦⣾⢿⣽⣻⡞⠛⣿⠏⠐⠿⢃⠃⢤⣿⣟⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣻⣿⣿⡟⠲⠖⠳⠟⠁⠌⠀⠁⠀⠂⠄⠀⠂⠀⠀⠀⠉⠀⠀⠀⠈⠉⢻⡿⢏⠩⠝⢳⣬⣵⣈⠖⡩⢆⠜⠻⣿⣵ ⣿⢿⣝⣯⡿⠛⣿⣿⣿⣷⣾⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⡎⡟⣽⡟⠺⣟⡽⣿⡟⢰⠀⠀⣿⠊⡌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣉⠏⣫⠽⣩⠅⣒⠈⠤⡀⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠙⠁⠈⣠⢷⣄⠛⢧⠷⣬⣘⠱⢤⡑ ⣿⡻⡾⣽⢻⡟⢯⣽⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⠙⠛⣿⣿⡏⣿⡿⠛⣿⣿⡿⠿⢿⣿⡟⠠⢟⣀⣼⢇⡉⡔⢻⣿⣿⣿⣿⣿⣿⣿⣿⡽⢿⣎⣱⡦⠘⠤⣻⣹⣿⠐⠬⡑⢠⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⠛⠀⠐⠂⠉⢻⡘⢢⡘ ⣼⡿⣽⢲⢫⢼⣷⣿⣿⣿⣿⣿⣏⠛⣾⣟⣯⣿⠿⣧⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⡽⣝⣳⣛⡾⣝⣻⢟⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣴⣿⣷⣿⣿⣿⡶⢿⣟⣥⡱⡊⣿⢈⣠⣾⠫⠔⣈⠢⡐⢍⢻⣿⣭⣿⣿⣿⡿⡍⢿⡾⢿⡱⣈⠄⢣⡆⢩⡁⢎⡰⢉⠄⡂⠤⢁⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⢈⢛⢣⣘ ⣿⣛⡾⣻⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣝⡳⣽⣹⢮⠷⣽⣹⢞⡽⣳⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⡠⣤⢿⣆⣣⣿⣶⣥⣦⠿⠩⡑⠢⡡⢡⢂⡑⠌⠢⢴⠟⠿⡿⢟⢋⠴⣁⣯⣵⠃⣿⣿⣧⣴⣿⠦⠍⠤⠰⢁⡊⢔⡈⢆⠦⡑⡌⢔⠨⣄⣐⡈⠆⣉⣤⣤⣁⣀⡐⠤⡐⢠⡐⡀⢀⠀⠀⠁⢿⣏⡟⡷⠀⠂⠁⠿ ⠈⢻⣿⡗⣻⣿⣿⣿⣿⠟⡡⢚⣿⣿⣿⢯⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢧⢯⣝⣧⡻⣞⡽⣧⢯⢯⣽⢳⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣔⣨⣾⣿⣿⡿⣟⣿⣿⣄⠃⡌⢡⠂⡅⠢⠌⡄⢂⢾⡀⢀⣾⣷⣦⣶⣿⡿⣾⡇⢀⠁⣠⣘⡇⢎⢍⡒⣡⢠⣌⣦⣾⣬⣶⠷⢾⡞⠿⣬⡹⢽⢛⣍⡣⢽⡩⢏⡽⠷⣾⢶⣿⣮⡐⢀⢀⡀⠄⠻⠞⠁⢀⠀⣀⣀ ⣿⣿⠻⠻⠿⣿⡟⢛⢿⣶⠻⡐⣸⣿⣦⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⢿⣿⣿⣿⣝⣾⣱⣻⣾⣼⣯⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣷⠘⠄⡃⣬⣬⣥⣼⡴⢳⡟⣡⡀⣿⣯⡿⠟⡛⠟⣛⠠⠁⠢⠹⢃⣙⣾⡶⣶⣶⢾⠿⣱⡝⣞⣬⣋⢧⢻⡝⣦⢹⣎⢳⡌⢧⡣⣝⡸⣈⣹⢮⣯⣟⣿⢿⢿⣿⣷⡊⠀⠀⠀⠀⠸⣇⡾ ⣿⣿⡱⠡⢾⠿⣷⣬⣾⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣟⣿⡿⣷⢫⣶⢫⡷⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⡿⠻⣿⣿⠻⡿⣿⡾⠛⠻⢋⠀⠀⠈⠀⣿⠀⠘⠿⠈⣹⣿⣷⡄⢿⣿⠏⡀⢷⣶⣿⢿⣇⠚⡱⢎⣯⣝⣧⣻⢳⣦⣛⡼⣣⢻⡜⡳⢎⡳⣜⢣⡓⢦⢣⡝⢮⣳⡭⣟⣷⢾⣟⣿⠛⣿⣿⣶⣄⠐⠢⠄⠀ ⣿⣿⣧⣱⣬⣾⣿⣿⣿⣿⣿⣿⣿⣻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡎⣽⣓⣿⣳⣿⣿⣿⣿⣾⣹⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣷⣬⣿⣿⣧⣿⣿⣇⠀⠀⠀⣀⣀⣤⣤⣼⣷⣤⣶⣶⣿⣿⣿⡯⢐⡀⠢⣴⡿⡻⣮⣽⣾⣦⡴⣾⣿⡼⣧⣿⣿⣿⣿⣗⣧⡷⠾⣵⣭⣱⣬⠶⢭⣼⣊⣭⣻⣷⣻⡽⣞⣯⡟⣿⣷⣿⣿⣿⣿⣿⣷⠀⠁ ⣿⣿⣿⣿⣿⣿⣿⢿⣛⣿⣿⣟⡾⣟⣿⣏⣻⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡿⠛⠙⠛⠏⠁⠉⠛⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⠛⡠⠉⡉⠀⠄⣾⠸⣿⣿⣿⠟⡡⢖⠰⣧⠐⢹⣿⣷⠅⣙⣿⣳⣿⣿⣿⠷⠻⠿⠟⠁⠀⠀⠘⠁⠀⠀⠀⠚⠋⠀⠀⠀⠀⠋⠉⠀⠉⠻⠟⠛⠻⢿⣿⣿⠿⣿⣻⣿⣿⣿⣦⣀ ⣿⣿⣿⣿⣿⣿⡇⣾⣿⣟⡿⣞⣿⣿⣻⢭⣿⣿⣿⠟⠛⠋⠀⠀⠄⠋⠁⠈⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠉⠁⠁⣀⣤⠰⣦⣁⡀⠀⠀⠙⣿⣿⣿⣿⣯⣟⣻⣿⣿⣿⡿⣇⠀⢀⠀⠀⠄⠀⣿⡀⠙⢿⣫⣴⣷⣊⠱⢰⡘⣼⣿⣿⣿⣿⣿⠿⠛⠛⠁⠀⢀⣀⣤⣤⣴⠶⠶⠾⠞⠛⠛⠛⠛⠛⠛⠛⠒⠶⠶⠦⢤⢬⣠⣠⠐⡀⣿⣿⣾⣿⣟⣿⢿⣿⣛⡙ ⣹⣿⣿⣿⣿⣿⣧⣿⣷⢯⣿⢿⣳⣯⢷⣿⣿⠏⠉⣠⣠⡴⠆⢈⠛⠲⢦⣤⣂⠐⠀⠈⠻⠿⣿⣿⡿⠛⠉⠀⢄⣠⣴⠟⠉⠀⠀⠀⠉⠻⢷⣄⠀⠄⠉⢿⣿⣿⣿⣿⣿⣭⣿⡛⣧⠁⣠⣶⣶⡌⠀⣾⠃⣴⣶⡻⠿⢿⣼⣾⣷⣷⣿⣿⣿⣿⠛⠋⠈⣀⣤⡶⠿⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠶⣿⣿⣟⣾⣽⣯⣿⣻⢿⣿ ⡝⣿⣿⣃⣽⣿⣿⣛⣾⣿⣞⣯⢳⣯⡿⣿⠏⣄⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⣤⣄⡀⡀⠛⠁⢀⣤⡾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣆⡀⠸⣿⣿⣿⣿⢈⣿⣿⠀⣽⡀⠻⢿⣿⢓⢀⣹⣮⣙⣟⣥⣿⣾⣿⣿⣿⣿⡿⣾⡟⢀⢀⣶⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣽⡾⣟⣾⣛⣿⣽ ⠻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⢿⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠳⢦⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠻⣧⣅⠀⢻⣿⣿⣿⣿⡇⠀⠙⣧⠀⠂⠠⠀⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣶⠟⠃⣥⡏⠁⠈⠀⣄⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠈⣿⣿⡾⣟⣿⣽⣿⠦⠿ ⣄⡀⢿⣿⣿⣿⠿⣣⠟⣿⣿⡏⠀⠀⣼⢋⣙⣷⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡰⢠⢁⠹⣟⡄⣼⣿⣿⣿⣿⡇⠀⢾⡏⠀⠀⠄⠄⢹⣿⣿⣷⣾⡿⣋⢇⣬⣉⣹⣿⣿⡀⣰⡏⠀⠀⠈⠀⢿⣾⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣾⣿⣿⣶⡘⠛⠛⠛⠋⠙⣷⡀⠀ ⣝⠻⡜⣿⣿⣧⣛⣱⢫⣿⣿⡷⠀⣾⠃⠈⠉⢹⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣦⣤⣤⣤⣶⣿⣃⢣⢌⡒⣿⢰⠌⣿⣿⣿⣹⣇⠤⢤⣿⡠⠁⠀⠠⠀⠻⢿⣿⢏⡐⣶⣿⣿⣧⢸⣿⡿⣁⣾⠁⠀⢀⠠⡀⣼⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣿⡇⠀⣠⣀⡀⠠⠘⣇⠀ ⡜⢫⠞⣜⣻⣿⣿⣿⣿⣿⣟⠀⢸⡇⠂⢄⠩⡌⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠉⣛⣛⣟⣩⡍⡍⢦⠜⡴⣿⠤⣻⡿⣛⢮⡝⣿⠉⠁⢸⣿⣄⠁⠀⠠⠀⣀⡘⠷⣬⣙⠛⠛⠃⡩⢝⣷⣬⣺⡆⠰⢈⠆⣅⢻⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⢀⣤⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⡇⡀⢯⡽⠋⠀⠀⣿⣂ ⡼⣩⠟⡴⢣⡝⣿⣿⣿⣿⣿⣷⠸⣧⢡⢎⡱⠌⣏⢿⣿⣿⣿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠐⢰⡟⠉⠉⠀⠉⠈⠛⢿⣞⣼⢏⣶⣽⡗⣯⠺⣜⣿⣄⠀⢨⣇⠻⣾⢒⠳⠟⠉⠉⠛⢉⣿⣅⣉⡅⢱⢣⡙⢿⣯⢿⣗⡉⣆⠔⡬⠙⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⣨⠛⠚⢃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⠿⣫⠔⣢⠆⡰⠀⠀⢰⡿⣂ ⡷⣡⠻⣜⡳⡜⡭⣿⢻⣿⣿⣿⣧⡹⣧⣎⠖⣞⡰⣾⢷⢂⠂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣿⠐⠀⠀⠀⠀⢀⠘⠷⣿⣛⢮⡹⣖⡻⣜⣿⠼⣛⣹⠛⠉⢁⣠⣴⠶⣦⠴⣷⢶⣯⣯⡉⠹⢧⣦⣽⣚⢿⠿⣟⢷⣼⣌⢒⠉⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠷⠶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢨⠑⠦⣅⢲⠱⣑⠂⣡⡿⢃⣾ ⢷⡱⣋⠶⡱⣋⣶⣿⣗⣲⣍⢻⡹⢿⣈⣻⣾⣥⣓⠷⠾⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣘⣷⠨⡀⠀⠀⠀⠀⠀⠘⣷⣽⣪⢗⡧⢻⡜⡿⣺⠉⠸⣶⣴⡿⡻⣌⢟⡬⢳⡍⡞⡼⣹⣻⣶⣄⠀⠿⣝⠻⢾⣛⠶⢿⣝⣳⣾⣬⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⡋⠼⢐⣃⣧⡥⢾⣋⣷⣟⠛ ⣧⠳⣍⠯⣕⠯⢽⣻⢯⢣⣎⡳⢭⢏⣿⠽⣫⣽⣿⣿⣷⣶⣶⣶⣦⣤⣤⣤⣤⣾⡿⣶⣶⣤⣴⣶⣴⣾⡿⣿⣷⣶⣿⣿⣿⣿⣿⣧⣌⣔⣠⣦⣴⣠⣬⣿⣿⣿⣿⣭⣳⡞⡷⠡⣰⣾⢛⠶⣩⢳⣚⣾⣽⣓⠞⣭⠳⡵⢲⡕⡻⢷⡄⠈⣧⡀⠋⡄⣤⢏⠉⠁⢀⣬⢿⡿⣿⣿⡿⠿⠿⣛⣻⡿⡉⡙⢾⣳⣦⣤⣤⣶⣶⣶⣶⣶⣶⣷⣿⣿⣻⢯⠶⠛⢛⣯⣟⣾⣟ ⣎⢳⣌⠳⣌⡛⢦⠻⣎⠞⡿⣹⡞⣛⣴⣾⣿⣿⣿⣿⣿⣿⣿⡟⢙⣿⣿⣿⣿⣿⣧⣽⣻⡿⣿⢾⢿⣭⣷⣻⣿⣿⣿⡏⠛⣻⣿⡿⣿⣻⡿⣽⣻⣿⣿⣯⣿⣯⡟⠀⣽⣋⠽⡷⣏⠖⣏⠾⣱⢓⢮⡜⢧⣫⢝⡲⢏⡵⡳⢎⠷⣋⢿⡆⠀⣧⠻⢵⣫⡞⣨⡾⠻⢥⢶⣩⣿⣡⣤⢛⢛⢍⣾⡡⠍⢟⣾⠉⠙⣟⠛⠛⣿⣯⣿⣿⣿⣏⣹⠟⢿⢧⣤⣾⢟⢭⡙⢾⡟ ⡝⡲⢬⡓⡼⣙⢮⣙⠮⣿⣿⣿⡾⠿⠿⢿⡛⢻⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⡿⠿⣏⣭⡵⢛⡉⢸⣶⣬⡕⠛⢿⣿⣿⣿⡾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣽⣿⣛⠿⡷⣾⣛⢬⡛⣬⠳⣥⢫⠶⣙⡳⣬⢇⡻⡜⢶⣙⢏⡞⣭⢚⣿⣴⡘⣦⣐⣠⡾⣿⣾⣿⣿⣿⣾⣥⣤⢷⣾⣷⣼⡷⣿⢿⣯⣽⣳⢾⣋⠁⣀⣿⡿⣧⣄⣼⣯⣿⢿⣩⢛⡿⣧⣮⠦⠽⠬⡿ ⡽⣘⢧⡙⣵⠹⢦⣋⠞⣻⠷⡿⢷⢞⢻⡿⣰⣿⣿⣿⣷⣾⣿⡿⠟⢛⢉⣴⣤⣾⣿⢃⡁⠰⣈⠰⡀⡐⡛⡦⣶⡈⠙⠿⣿⣿⣿⣿⣿⣿⠛⣯⡷⣯⡽⣿⢶⣯⣿⠟⣜⢫⢳⡩⢖⡹⢆⢿⡰⢏⡞⡵⣓⢮⢎⡳⡝⣎⠮⣎⡽⣏⢏⣻⡏⠙⢿⣤⣼⡉⢛⣯⣙⣽⣯⣿⡻⣽⣹⢶⡭⣗⡻⣭⢯⣝⣻⣹⣿⡾⣛⡯⣁⣿⡨⠉⡛⣿⢿⣿⣯⣿⣼⡽⠖⢦⡀⠀⣴ ⣱⢭⡲⡝⢶⡙⣧⢹⡊⠱⠽⣸⢍⣾⣿⠷⣿⡛⣻⠛⢋⣿⣄⣴⣷⣶⣿⣿⡿⢻⣿⣼⣶⣶⣦⣬⣥⣴⣿⣿⣏⣷⠿⣧⣄⣹⣛⣿⣿⣿⣿⣿⣿⣷⠻⢽⣯⡿⢯⣿⢿⣿⡶⣙⠮⣕⢫⠶⣍⡻⡜⣵⢋⡮⢇⡻⠼⣌⠷⣤⠸⣜⢺⣼⣧⣠⡼⣂⠈⣩⡟⢡⠉⠻⣾⣿⡹⢾⣿⣿⡞⣵⣿⡼⣻⣾⣿⣿⣞⣋⣽⣷⣭⣾⠟⢛⢷⣄⣤⣄⠙⣃⡀⢂⣼⡚⠁⠁⠉ ⣬⣶⣭⣮⣧⣻⣘⣶⣡⣰⣇⠳⣾⡿⣿⣽⡿⣭⣿⣿⡿⣯⣿⣿⣥⣼⣿⣿⣷⣾⣿⣿⣿⣿⡿⣿⡿⣿⣿⣿⡧⢸⣶⣿⣿⣿⠛⣿⣿⣾⣿⣿⣿⣿⣷⣿⣻⢜⠧⢿⠿⣻⢱⡍⡞⡬⢇⠿⣌⡳⣝⡬⣇⢯⢳⡹⢣⠻⣜⡲⢻⡜⣻⢿⡟⢡⡟⣨⣾⣿⣴⠿⠖⠶⣾⣗⡿⣿⣻⢳⣽⣩⣿⢹⣧⢛⡿⢿⣷⣽⣶⠿⢿⡍⠀⡴⠌⢩⠌⠉⢻⣿⣿⡿⣻⣿⣶⣄⢀ ⣐⢆⡱⣦⠿⠿⠩⢎⣿⣿⣿⣯⣻⣷⣀⣟⣾⣿⣟⡷⠛⣯⡷⣯⢟⣿⣿⣿⢟⣾⡇⣉⠛⠩⠒⢐⠰⠈⡍⡩⠐⡉⢿⣿⡿⣿⣿⣿⣻⡟⠻⣿⣿⣿⣿⢿⣿⣿⣞⡭⢞⡥⣓⢎⡳⣍⢯⡹⣼⢱⡎⡵⢎⡾⢥⢻⡱⣋⠶⣩⠓⣞⡱⣾⡁⢸⣶⣿⢿⡟⠁⠀⠀⠠⡙⣿⡿⣽⣿⣟⡶⢷⣾⣽⡾⢟⣾⣿⠟⠉⠙⣷⠐⢿⡀⠘⡀⠀⢡⠀⠈⢿⣿⣿⡿⣿⣿⣿⢷ ⣴⡶⠮⢁⣬⣜⡦⢾⣿⡿⣿⣿⣷⣿⣿⣿⣿⣿⣾⣿⢶⣻⣽⣿⣯⣿⣿⣽⠯⣿⡇⣼⣶⣬⣇⣨⣬⣅⣶⣶⣶⡍⠘⣿⠉⣯⠷⣯⣳⢯⡿⡽⢿⡽⣿⣦⣿⣿⣿⠿⣷⢎⡵⣊⠗⣎⠶⡹⣬⢳⠽⣜⢣⢞⡣⣏⠶⣹⠲⣥⡛⡴⣹⡏⢡⡿⢿⡷⢸⠀⠀⠀⠀⠀⠰⢸⣿⣣⡾⣹⣿⢂⢖⡂⣼⣿⣿⠃⡀⠀⠀⠘⣿⠘⣷⣶⣤⣾⡿⠠⠀⣾⣿⣿⢿⣳⡻⣞⢯ ⠇⠀⠀⠉⠁⠀⢀⣿⣿⣿⣿⣿⠿⠿⣿⢿⡉⣿⣿⢿⣿⣿⣿⣀⣿⡿⣷⣇⣰⣿⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡆⢹⣿⣹⢿⢷⠉⣾⣹⢿⣹⡹⣎⣿⣏⣿⣿⣷⡿⠿⣷⢉⡾⣉⠾⣱⠏⣇⠿⣈⠷⣎⢷⡸⣇⠏⡷⢇⡹⣱⣿⣷⡿⣁⣿⣷⣸⣇⠀⠀⠀⠀⢈⣸⣿⠿⣿⣷⡿⠾⠶⣶⣿⢿⣿⡆⠁⠀⠀⠀⢹⡇⠸⣿⣿⣉⠀⣀⢷⡿⣷⣾⣿⢷⡹⣎⠹ ⠠⠄⠀⠀⢠⣶⣿⣿⣿⣿⣿⣿⣷⡾⡋⢋⠻⠿⠛⠿⣾⣿⣯⣿⠟⢽⣣⢿⣹⣿⠐⢿⡿⠟⠏⢉⠏⡉⢛⠿⠛⡡⠃⠈⣿⣟⡾⣏⣶⣻⣽⡾⣽⣿⣿⣾⣿⡿⢿⣇⣽⣾⣷⣋⠶⣩⠞⡥⣟⢮⡳⡝⢮⡱⢮⠵⣎⣏⡌⢯⡼⣿⣟⣷⣟⣻⣧⣟⣧⣿⣷⣤⣴⣤⣾⡿⣝⡷⣾⡿⠀⠡⢁⣾⢯⢽⡹⣿⣵⣀⣀⢀⣈⣻⣆⡘⣿⢿⣭⣭⢾⡛⡱⣎⢿⣍⣽⡾⣿ ⠁⠀⣰⣶⣿⣿⣿⣿⣿⡿⡿⢿⡿⠁⠀⠀⠀⠀⠁⠈⣿⡷⠻⠾⢷⡶⢯⣿⣥⣿⢀⡃⠀⡋⠆⢘⡘⠀⢈⡒⠄⢸⢱⠈⢸⣯⣯⣽⠞⠏⠉⣴⣮⢿⣿⣋⣁⣶⡿⣽⣿⣞⠯⣿⡞⣥⢛⠶⣩⠷⣙⣞⢣⣝⢣⡻⠴⣎⠾⣱⣺⣷⡾⢿⣿⣽⣿⢻⣻⢯⡿⣿⣿⣭⣿⣟⣧⣻⣿⣁⢌⡐⣈⢿⣮⣳⡝⣷⣿⣿⣿⣿⣯⣭⣟⢧⣿⣚⣌⣣⣷⣿⢿⣻⣟⣿⣿⠾⢽ ⣤⣼⣿⣿⣿⣿⣿⣿⣿⣷⣷⣿⣿⡀⠀⠀⠀⢰⣆⠀⣿⣿⡤⣵⣵⣀⣬⣂⣉⣫⠷⠄⠀⡇⡃⢈⠜⠀⠀⠞⡀⠘⣸⠀⠻⣽⣠⡼⣶⢶⡛⣉⣄⣶⢶⢿⣫⣽⣞⣿⡿⣷⢶⢿⣙⢦⣋⢞⡱⣞⡱⣎⡳⣬⠳⣍⠷⣊⠷⣳⣿⢿⡙⢿⡶⣬⣿⡷⢟⡛⠶⠬⣽⣭⡟⡻⢿⡥⠉⠉⠉⠉⠉⡉⠛⠓⠛⢋⢸⣿⡽⠾⠟⢓⡟⠛⣻⣉⣿⣤⠾⣷⣯⣿⡭⢷⣶⡛⣏ ⣿⣿⣿⣿⣿⣿⠟⢋⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣯⣷⣌⣋⣄⣈⣷⣁⣘⣻⣜⠀⡀⠣⠅⠰⣘⠀⠀⢃⠃⢀⢆⣦⡄⣾⢀⣠⣡⣷⢾⣯⢽⣫⢟⡾⣭⣼⡿⣏⢳⡍⡞⢦⢫⠖⡭⢎⡵⢮⠵⢮⡵⢎⢷⡙⡾⣡⢿⡿⣯⣲⣙⣾⣱⢳⣉⠞⣫⢛⡞⣧⣤⣿⣋⣍⣯⡁⠄⠂⠀⠌⠀⠠⠀⠈⠀⠢⢘⡦⠧⠺⡗⣛⣛⣏⣹⣭⠶⡶⣛⡯⣍⠗⣺⡍⢾⣕⣎ ⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣠⣟⣿⡻⣿⡛⢻⣿⡇⣊⠐⢀⠣⠃⢐⠢⠀⠀⣱⣾⣿⣿⣿⣧⣌⢻⣟⡏⠛⣾⣵⣯⣼⣿⣻⢼⡲⡝⡼⣡⢞⡹⢎⢧⣋⠷⣙⢮⠳⣝⡺⣜⣻⢾⡿⡔⣯⡿⠃⢠⣽⣙⠻⢶⣧⣾⣯⣑⢎⣴⣷⡿⣿⣿⣿⣩⣄⡀⠂⠂⠰⡀⠂⢀⠊⢀⠡⡈⠿⣛⢟⣫⢝⣭⣞⡱⢎⣯⠾⡱⣶⣽⣯⠷⡼⠟⡭⢋ ⢛⣿⣿⣿⣿⣿⣿⣿⢟⡛⣭⢣⡈⣭⣙⢻⡛⡏⣣⢽⣿⢿⣾⡵⢿⣷⣻⣾⣿⣷⣦⣀⣬⣶⣥⣠⣭⣶⣿⣿⣿⣿⣿⣿⣿⡏⠏⠿⣷⣾⣿⣾⣷⣶⣿⡿⢷⣷⣹⡜⡱⣎⡳⣍⠶⣩⠞⣭⢎⡟⡴⢳⡚⣖⡫⡵⣹⡿⠁⢀⡿⡴⡸⠀⣰⡟⠐⠈⣉⠉⢹⡿⣟⠿⣾⣿⣛⠿⣷⣿⢿⣷⣴⡿⣿⣷⡿⢶⣤⣾⣭⢚⣲⣿⢶⣥⡿⢿⠹⠇⣯⡿⣿⣀⣀⠒⡉⠐⠍ ⣿⣿⣿⡿⣿⣿⡿⡽⢪⡕⣎⠶⣙⠦⣍⢖⠍⠆⣆⠴⣺⡆⢿⡇⡒⠌⠩⢽⣿⣿⣿⣿⣿⣿⣟⣉⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣟⡟⣻⣷⣮⡀⠈⡙⠷⢮⣵⣊⠷⣍⢞⢦⢏⡼⣓⢧⢛⡴⢳⣹⣿⣥⣌⣼⣷⡾⢛⢛⢉⠐⠌⠠⢄⠠⣸⡿⣭⣛⣿⢯⣞⣻⣿⣣⢯⣻⣯⢷⡳⣿⣷⡩⢒⠘⠚⡛⠋⠄⡑⠈⠈⠁⠀⠐⣸⣿⣟⡻⣟⣿⠀⡀⠈ ⣿⡟⣋⠷⡿⢃⡞⣌⠷⡸⣌⠳⣍⡚⣜⣪⢠⢰⡩⢞⢩⣿⣼⡇⠀⠀⠀⠀⣿⣿⣿⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⡷⠨⡍⢻⣄⣀⢜⢻⠙⠳⢾⣼⣊⣞⠲⣍⢎⡳⣜⣳⠟⠀⣨⡇⠬⡐⢢⠑⡌⢒⠨⢜⡐⢚⣿⣿⣷⣏⣾⣹⣞⡾⣵⣿⣷⣫⡽⢫⣞⡳⣽⣻⢶⣧⢈⠄⠈⠀⠂⠀⠀⠀⠀⠀⢠⣿⣻⢿⣵⣻⡿⢀⣶⡀ ⣏⡜⡨⡱⣍⠳⡜⣬⢳⠱⣎⠳⡜⣄⡀⡔⢇⣣⣽⣾⣿⣏⣸⡇⠀⠀⠀⠀⠹⣿⢿⣾⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⡹⣿⠢⢌⡑⢄⠛⠳⠿⢦⣤⣄⠀⠍⠛⠿⣼⣮⣳⣼⢏⢂⡼⢏⠰⢡⠘⡄⢣⠘⢠⠃⢆⣸⣿⣛⢾⡾⣿⡿⣷⡿⣿⣟⣿⣟⣿⣿⣿⣽⣻⠶⣭⢟⡽⣿⣦⡂⠀⠀⠀⠀⢀⣀⣤⣾⡟⣧⣿⣋⠍⡔⡊⢯⠐ ⣣⡘⡵⢱⢎⠳⣍⠖⣍⣳⣌⣷⣼⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣆⣶⣶⣶⣶⣾⣿⣿⣿⣿⣛⣛⣛⣛⣻⣟⣿⣿⣿⣿⣿⣯⣭⣭⣭⣯⣿⣿⣿⡽⣞⡟⣦⠈⠆⣉⠒⡌⠂⢆⡙⠷⢶⣄⣠⣔⠊⠉⢳⣮⠟⢅⠊⡑⢢⠑⢌⠢⣵⢶⣿⣿⢿⣿⣽⣾⣉⣁⣋⣣⣹⣿⢞⡶⠽⠎⠷⣫⣽⣾⢿⣾⣿⣿⣴⣻⣿⡻⢿⣿⣿⣻⣿⣽⣾⢿⣻⢏⣿⠹⠱⣡⠢⢁ ⣿⡎⡵⢋⢮⣹⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣟⣻⡛⢟⢻⡹⢻⠿⢿⣽⠻⢽⢛⣯⢿⣿⣿⡷⠟⠰⢆⢚⠨⢄⠣⢌⠃⣒⢈⠒⠢⡌⠥⡉⢛⢛⣋⣃⣮⣄⠣⣉⠄⢫⢀⠻⢯⣠⣼⡏⡙⠳⡍⠟⠿⡻⢟⡿⣻⢯⠿⣿⣷⣿⠿⣿⣿⣽⣶⣷⡾⣿⢿⣿⣿⢿⡻⣏⠿⡽⣚⠷⡭⠻⠭⢛⡒⠢⢀⠐⡒⡠ ⣩⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣛⢮⡹⢦⡛⡴⢣⢞⡲⢥⢋⠶⣡⠳⡭⢎⡳⢭⠯⣝⡻⢻⡳⣶⣤⣄⡠⠉⠙⣧⣢⠐⢢⠸⡿⢠⢉⠒⠤⡁⠎⡄⠣⢌⠒⠄⢃⣊⣥⣶⣶⢾⢿⣻⣯⣿⠷⡿⣿⣶⣼⣁⡆⡘⢈⢏⡐⠤⢉⡑⢨⣮⣿⣖⡨⡐⠤⢊⣳⣾⡻⣝⣻⢯⡻⣷⣧⡈⠜⡡⢡⢁⠻⣷⡈⠌⡱⢠⢁⠒⡄⢓⡈⠡⠄⡃⡌⢒⠡⣡ ⣿⣿⣿⣿⣿⣿⣿⣿⢟⡻⣿⣿⣿⣿⣿⡟⡯⡜⢦⡛⢦⠛⡵⡹⣍⣛⢮⡙⢮⡝⢮⡱⢫⠽⣩⢞⡱⢺⢬⡙⢧⡹⣒⠧⣫⠟⣷⣤⠈⢻⣬⣡⢘⣃⣔⡈⣌⣦⡑⡘⢠⣩⣦⢾⡻⣟⣻⣽⡶⣟⣻⣏⡟⣶⢣⡟⡵⢮⡵⣺⡝⣿⡻⣶⣦⣌⡔⠢⠌⣹⠿⣽⡟⢡⡑⢼⣛⣿⠾⣷⠿⣾⢮⣽⢻⣞⣹⡇⡒⢄⡊⠔⣿⡇⢣⠐⣁⠂⡱⢈⠆⡌⡑⢂⠱⡀⢎⠰⡹
⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⡾⠋⠉⠉⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⠋⠀⠀⠀⠀⠀⠀⠙⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠞⠛⠳⣤⡀⠀ ⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠈⢷⠀ ⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠁⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇ ⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀ ⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⠀ ⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀ ⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀ ⠀⠀⠀⠸⡇⠀⠀⠀⠀⣀⣤⠤⣤⣀⠀⢸⡇⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀ ⠀⠀⠀⠀⢿⡶⠛⠳⢾⡃⠀⠀⠀⠙⣇⣸⣇⣤⡤⠤⠤⠤⣤⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⠀⠀⢀⣠⠽⢤⡄⠀⢤⣿⣋⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢘⣦⡄⠸⢧⣤⡴⠋⠀⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⡟⠁⠀⠀⢠⡷⣤⣤⣤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⠙⠷⠤⠴⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣇⠀⠀⠀⠀⠀ ⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠖⠛⠛⠉⠉⠉⠉⠉⠙⠛⠛⠲⠤⣄⡀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀ ⠀⠀⣾⠀⠀⠀⠀⠀⠀⣀⣴⠞⠉⣀⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣈⡛⢦⣄⠀⠀⠈⣷⠀⠀⠀⠀ ⠀⢠⣿⠀⠀⠀⠀⢀⡾⠋⠀⢠⣾⡏⠁⠙⣧⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠁⠈⢳⡆⠙⢧⠀⠀⢿⡄⠀⠀⠀ ⠀⠀⡇⠀⠀⠀⢠⡟⠀⠀⠀⢾⡟⣷⣦⣴⣿⠀⠀⠀⠀⠀⡀⠀⠀⢸⣿⣦⣴⣿⡇⠀⠈⣇⠀⢸⡇⠀⠀⠀ ⠀⢀⣿⣦⣀⠀⡿⠁⠀⠀⠀⠸⣿⣿⣷⡿⠃⠀⣰⣀⣀⣙⣃⣀⣀⠈⠻⢷⣿⡿⠁⠀⠀⣿⡄⣼⠃⠀⠀⠀ ⣼⠋⠀⠀⠈⠻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣽⣏⢛⣿⣿⡄⠀⠀⠀⠀⠀⠀⢀⣿⠟⠛⠓⢦⡀⠀ ⡇⠀⠀⠀⠀⠀⠛⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣻⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⢷⠀ ⣷⠀⠀⠀⠀⠀⠀⠀⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀⠘⠻⢯⣿⡿⠟⠃⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⢸⠀ ⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠈⠙⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⠋⠀⠀⠀⠀⠀⠀⠀⣠⡿⠀ ⠀⠀⠈⠷⡀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣷⣶⢦⣤⣀⣀⠀⢀⣀⣠⣤⣶⣿⡿⠁⠀⠀⠀⠀⠀⠀⣠⠞⠉⠀⠀ ⠀⠀⠀⠀⠘⠶⣀⠀⠀⠀⠀⠀⠀⠘⢧⠻⠶⣿⡿⠃⠀⠈⢿⡽⠿⠋⣽⠇⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢧⡀⠀⠀⠀⠀⠀⠘⣇⣴⠟⠁⠀⠀⠀⠀⠙⢦⣴⡏⠀⠀⠀⢀⣴⠚⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣀⠀⠀⠀⠀⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⣇⣠⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠙⡆⢰⡵⣖⡢⢀⡀⢀⡀ ⠀⠀⠀⠀⠀⢀⡀⣤⣤⡀⠀⡜⠀⠀⠀⣀⣠⣇⣘⠁⠩⠇⢼⢾⡿⡇ ⠠⣲⢪⢭⡇⢹⣽⠯⠯⠇⢰⠃⠀⢠⠎⠁⠀⠀⠈⢳⠀⠀⠀⠀⠉⠀ ⠀⠻⠈⠁⠚⠀⠀⠀⣠⠔⠚⠁⠀⢸⡀⠀⠀⣠⠀⢸⠀⡤⢄⢀⡀⠀ ⠀⠀⠀⠀⠀⢄⢠⠞⠀⠀⢀⣀⣀⣀⠉⠒⠋⠁⠀⠣⡀⠣⣈⡰⠃⠀ ⠀⠀⠀⠀⢀⡞⠛⡖⢢⢪⣧⠀⠀⠀⠈⠑⠢⡀⠀⠀⢱⠀⠀⠀⠀⠀ ⠀⠀⠀⡔⡡⡕⠒⠁⠈⣞⣋⡀⠖⠄⠀⣰⣷⠘⡀⠀⠀⠇⠀⠀⠀⠀ ⠀⠀⠀⡅⠁⠡⢄⠐⠭⠊⠙⢿⡉⣩⠱⠌⠁⠀⢣⠀⠈⡆⠀⠀⠀⠀ ⠀⠀⠀⢇⣀⢌⣈⠤⢀⡠⡤⢼⠬⣄⣁⣛⣀⣀⠜⠀⣀⠇⠰⢆⡠⡀ ⢀⢀⠖⡆⢇⠀⠀⠀⠀⠈⡢⠄⠤⠑⠒⢯⣉⠉⠉⠉⠁⠀⠘⠬⠔⠃ ⠙⠂⠚⠁⠀⠉⠉⠉⠉⣏⢣⣀⡖⠀⢀⠼⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠶⠖⠲⢦⣄⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⠀⠀⠀⠀⠀⢹⡆⠀⢸⣾⢿⣛⢛⡶⢀⣠⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⡟⠋⠸⠼⣿⠃⢨⣟⣿⣾⣯⣿ ⠀⠀⠀⠀⠀⠀⢀⣀⠀⣰⣤⣄⢺⣿⣿⣧⠀⠀⢰⠏⠀⠀⠀⠀⠀⣠⣤⠶⠿⠶⢦⣄⡀⠀⠘⠋⠀⠘⠿⠻⣽⣿⡿ ⠀⢠⡶⡦⢚⣉⣩⣇⠀⢹⣇⣟⣻⣹⣏⣿⠀⠀⣾⠀⠀⠀⠀⣠⡟⠉⠀⠀⠀⠀⠀⠈⠻⣆⠀⠀⠀⠀⠀⠀⠀⠈⠁ ⠀⠈⣏⣷⠸⠿⠟⢻⡄⠀⠋⠛⠈⠉⠁⠀⠀⣀⣿⡄⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⠇⠀⠀⠀⠉⠁⠀⠀⠀⠀⢀⣤⠶⠛⠉⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⣴⠃⠀⢠⡏⠀⢠⠖⢦⣠⠤⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠶⠶⠶⠛⠁⠀⠰⣾⡁⠀⢸⡀⠈⠣⢠⡾⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣄⣾⠃⠀⠀⠀⣀⣤⠴⠶⠒⠲⠦⠤⣄⣀⠀⠀⠀⠀⠀⠀⠈⠻⣄⠀⠙⠒⠶⠚⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠿⠉⢳⠖⠶⣞⣡⣶⣦⠀⠀⠀⠀⠀⠀⠈⠙⠲⣄⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠞⠹⣆⣀⣠⠞⠀⠘⣇⣿⣿⠇⠀⠀⣀⠀⠀⠀⠀⣠⣤⡌⢳⡀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⠃⣴⠒⡆⠀⠀⠀⠀⡀⠸⣆⡥⡤⣄⠘⠻⠃⠀⡀⠠⣿⣿⡇⠈⢧⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣏⠀⠙⠚⠁⣀⠀⠀⢾⣉⡧⠈⠙⣧⡻⡉⠙⠋⣻⢡⢄⠈⠉⠀⠀⠸⡄⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⡄⠀⠀⢸⣉⡷⠀⠀⠉⠀⠀⠀⠈⢻⠱⠤⠔⠹⡌⢉⢤⡀⠀⠀⠀⢹⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣇⣀⣠⢤⣀⣀⡴⠦⣄⣠⠶⣦⠤⣼⠷⠤⣤⣀⣀⣙⠋⠀⠀⣀⡠⠇⠀⠀⣀⡾⠀⢰⠟⢦⣠⠤⣤ ⠀⠀⠀⠀⣠⣄⠈⣏⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠉⠁⠻⢤⣭⣽⠟⠛⠛⠓⠒⠒⠒⠛⠋⠀⠀⠘⢧⠘⠁⣠⡿ ⢠⣶⠒⠾⠁⣸⠇⠹⣆⣀⣀⣀⣀⣀⣀⣀⣠⡼⠋⠁⠉⠉⠀⠀⠀⠈⣗⢲⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠁⠀ ⠀⠻⠦⠴⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠉⢷⣄⠀⣰⢶⡂⠀⠀⢠⡯⠼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠖⠛⠁⠻⢦⣤⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠴⠒⠒⠒⠲⠤⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢳⣄⣤⣄⡀⠀⣠⡶⠚⠉⠙⠲⣄⠀⠀⢀⠸⣆⠀⣀⡀⠀⠀⠀⠀⠀⢀⡾⡁⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⠀⠀ ⠀⠀⠀⠀⠀⠀⣴⠏⠀⠀⠀⠈⢹⠏⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠉⠉⠉⠁⠉⠉⠉⠉⠉⠉⠀⠁⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀ ⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⢀⣤⠞⠛⠛⠲⢄⠀⠀⣰⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀ ⠀⠀⠀⠀⠀⢻⣆⠀⠀⠀⡞⠁⠀⠀⠀⠀⠈⣇⠰⢧⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⠀⠀⠀⠀⠀⠊⢳⡦⠸⡇⠀⠀⠀⠀⠀⢠⡟⠀⠀⢹⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⠀⠀⠀⠀⠀⣴⠋⠀⠈⠙⠦⣄⣀⣠⠴⠋⠀⠀⠀⣸⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡀ ⠀⠀⠀⠀⠀⠀⠿⡀⠀⠀⠀⠀⠀⢸⡷⣄⡀⣀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⡽⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⣹⠦⠤⠤⡤⠞⠋⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣦⣄⣀⣀⣀⣠⠴⠛⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣦⠤⠤⠤⠤⢤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⣹⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⠚⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⢿⠀⠀⠀⠀⠀⠀⠀⣠⡶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣾⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣆⠀⠀⠀⠀⠀⠀⠀⢼⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢹⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡄⠀⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡄⠀⠀⢸⡿⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡄⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⡀⠀⣿⡇⢀⣠⣾⡿⠟⠛⢻⢷⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣴⣴⣤⣤⣄⠀⠀⢸⠀⠀⠀⠀⣦⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢷⡀⠘⣧⠘⠟⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠀⠀⠀⠀⠀⠀⠛⠋⠃⠀⠀⠩⠛⣿⣦⢼⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣀⣀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⢸⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣝⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣏⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣦⣀⠀⠀⠀⣀⡤⠔⠒⠒⠲⢤⡀⢀⣠⠴⠒⠒⠒⢤⡀⠀⠀⠀⠀⠀⢀⣴⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠋⠛⣶⠞⠁⠀⠀⠀⠀⠀⠀⠙⣏⠀⠀⠀⠀⠀⠀⠈⢧⣀⣤⣶⡚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠉⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⢻⡅⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣄⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⣽⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⠛⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠛⡄⠀⠀⠀⠀⠀⠀⠀⠀⣠⠋⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠹⣄⠀⠀⠀⠀⠀⢀⡴⠃⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⢀⡼⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠈⠓⠢⠤⠤⠖⠋⠀⠀⠀⠀⠀⠈⠓⠦⠤⠤⠤⠴⠚⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣦⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⢿⡿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⢫⡝⢦⠳⡜⣭⢛⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡿⢣⠳⣜⢣⡛⡜⢦⢫⡜⢿⣿⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠰⣾⣿⡿⣙⢧⡛⣬⢣⡝⣜⢣⠳⣜⡹⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡷⣩⢖⡹⢆⡳⡜⡬⢇⡻⣔⢣⣿⣿⣿⣷⣠⣤⣤⣤⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢱⡹⣎⠵⣋⠶⡹⣜⢣⠳⣌⠷⣞⣿⣿⣿⣿⡿⡻⢟⠿⣻⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣟⢦⣻⣌⠳⣍⢞⡱⢎⢧⡛⣬⢓⣿⣿⡿⢫⣍⢳⡙⣎⢳⡱⢎⡵⣻⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣟⠦⡿⣌⢗⣎⢮⡱⣋⢮⡕⣎⢧⣿⡿⣱⢣⢎⢧⡹⣌⢧⠳⣍⠶⣩⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡘⢷⡩⢞⡜⢦⡹⢥⡛⡼⣸⣾⣿⡱⢣⡝⣎⠶⡱⢎⣎⠳⣌⠳⣥⢻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣿⣯⠳⣌⠳⣜⡱⢎⡳⣌⠳⣥⢫⣿⣿⢣⢎⡵⡹⢆⠷⣜⡹⢆⡛⢦⣙⢮⣽⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣯⣳⣜⡹⣦⣿⣾⣷⣮⣷⣌⢳⢺⣿⣗⡎⢶⡹⣍⠞⣦⡙⢮⣽⣿⢿⣋⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣾⡿⠛⠛⠛⣿⡿⠛⠉⠁⠉⠙⣿⣿⡌⣏⠿⣿⣿⣦⣳⣌⣻⣴⣿⡿⢿⡙⢦⡙⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⡟⠀⠀⣠⣶⣿⣧⣀⣀⣀⣀⣴⣿⡟⡼⣘⠞⡴⣛⠿⡻⢟⠿⡻⢭⡙⢦⡝⢮⡱⢾⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣿⣏⠀⣀⣼⣿⣁⣼⡿⠋⠉⠙⠻⣿⣷⣝⠲⣍⢞⡱⣍⢞⡱⣋⢞⡱⢣⡝⣦⢹⢦⡙⢦⡙⣿⣿⣷⣄⠀⠀⠀⠀⠀ ⠀⠀⢠⣼⣿⡿⠟⠋⠉⠙⣿⡏⠀⠀⠀⠀⠀⣼⡿⣌⠳⡜⢮⡱⢎⢮⡱⣍⢮⡱⢳⡜⣥⢋⡶⣩⢧⡙⢦⡹⢿⣿⣷⡀⠀⠀⠀ ⠀⢠⣾⣿⣿⡀⠀⠀⠀⠀⣸⣿⠀⠀⠀⠀⣴⣿⡟⣬⢳⡙⢦⣙⢎⠶⡱⢎⠶⣩⠳⡜⢦⡛⡴⢣⢎⡝⢦⣙⢎⢿⣿⣿⣄⠀⠀ ⣠⣿⣿⣿⣿⡇⠀⠀⢀⣴⣿⢻⣿⣶⣶⣾⣿⣿⡿⠾⠷⠿⠷⠿⠾⠿⠿⠿⢿⣶⣽⣜⣣⠝⣜⢣⠞⣜⢣⠞⡜⣎⢻⣿⣿⣄⠀ ⣿⣿⡟⡭⢿⢿⣶⡾⣿⣛⢦⣷⣾⠿⠿⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠻⠿⣿⣮⣧⢛⡬⢣⡛⡼⣌⢏⣿⣿⣿⡆ ⣿⣿⡟⣜⢣⠞⡴⢣⢧⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣜⡣⣝⠲⣍⠞⣾⣿⣿⡇ ⣿⣿⣟⡬⣇⠻⣜⣳⡿⠋⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠈⢿⣷⣎⠳⣌⠯⣽⣿⣿⡇ ⣿⣿⣧⠳⣌⠗⣾⣿⠁⠀⠀⣶⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣷⡄⠀⠈⢻⣯⢳⣌⠳⣿⣿⣿⡇ ⠘⣿⣿⡿⣌⢏⣿⣿⠀⠀⠀⣿⣷⣿⣿⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⡃⠀⠀⣸⣿⢣⢎⣽⣿⣿⡟⠁ ⠀⠈⢿⣿⣗⢮⡜⣿⣦⠀⠀⠹⣿⡿⠟⠀⠀⠀⠀⠀⠀⣾⡿⠿⣿⣆⠀⠀⠀⠀⠀⠙⣿⣿⠟⠁⠀⢠⣿⢯⢇⣿⣾⣿⠟⠀⠀ ⠀⠀⠈⠻⣿⣷⣮⡝⢿⣷⣄⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⠟⠋⠀⠀⠀⠀⠀⠐⠋⠁⠀⢀⣴⣿⠟⣮⣾⣿⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠙⠻⣿⣿⣾⣽⣿⣷⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣿⣿⣽⣾⣿⡿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⡿⢿⡻⢟⡿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⡿⡿⢿⠿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣵⣣⠝⣎⠶⣩⠞⣭⢻⣿⡇⠀⠀⠀⠀⢹⣿⡩⣍⢧⢣⢳⡙⣎⢳⣭⣻⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠟⠿⢿⣷⣿⣴⣯⣶⣿⣿⠇⠀⠀⠀⠀⢸⣿⣷⣼⣮⣧⣧⣿⡾⠿⠻⢿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⣿⠛⠉⠁⠀⢀⣶⣌⣉⣉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⢉⡉⣉⣷⣄⠀⠈⠉⠙⣿⣿⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⣸⣿⠿⠿⠿⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡾⠷⠿⢿⣿⡀⠀⠀⠀⣽⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⣿⡀⠀⢠⣾⠟⠁⠀⠀⠀⠀⠉⢻⣦⡀⠀⠀⠀⠀⠀⣠⣾⠏⠁⠀⠀⠀⠀⠘⢿⣄⠀⢀⣾⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⠀⠀⠀⠀⢰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠄⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣤⣀⣀⣠⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣦⣤⠀⠀⠀⣀⣤⣾⣿⠟⠈⠉⠀⠀⠙⠛⢿⣦⣄⠀⠀⠀⣠⣴⣿⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⡟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⢿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣀⣀⣀⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⣀⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣤⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣴⣶⣶⣿⣿⣿⣶⣶⣶⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣶⡿⠟⠁⠈⠙⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠋⠁⠈⠙⢿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⠿⠛⠛⠉⠀⠀⠀⠠⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠠⠀⠀⠀⠈⠙⠿⣿⣶⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠉⠻⣿⣦⣄⠀⠀⠀ ⠀⠀⣴⣿⠟⠁⠀⠀⠀⠀⠀⢀⣾⡿⠂⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀⠻⢿⣦⠀⠀ ⠀⣾⡿⠇⠀⠀⠀⠀⠀⠀⢀⣼⡿⠃⠀⠀⠀⠀⠻⠟⠀⠀⠀⠀⠀⢠⣤⣤⡀⠀⠀⠀⠀⢸⣿⠆⠀⠀⠀⢿⣧⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠀ ⢰⣿⠃⠀⠀⠀⠀⠀⠀⠀⣼⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠈⢻⡟⠁⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠀⠀⠀⠀⠀⠀⠀⠈⣿⡇ ⢻⣿⡀⠀⠀⠀⠀⠀⠀⢠⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⣴⡿⣷⣤⣽⡷⠀⠀⠀⠀⠈⠀⠀⠀⠀⠈⢿⣷⣀⠀⠀⠀⠀⠀⣼⣿⠁ ⠈⢻⣷⣄⡀⠀⠀⠀⣠⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣶⣾⡿⠟⠁⠀ ⠀⠀⠈⠻⠿⠿⡿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⠏⠀⠀⣰⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣆⠀⠀⠙⣿⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⠀⠀⢀⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣆⠀⠀⢻⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⣿⣤⣤⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣤⣤⣿⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢹⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠛⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⠀⣀⣀⣀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡄⠀⠀⠀⣼⡿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢿⣷⡄⠀⠀⢠⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣶⣶⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⡷⢿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
🌸૮ ˶ᵔ ᵕ ᵔ˶ ა
⠀⠀⠀⠀⢀⡤⠶⠶⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⠋⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠶⢤⡀⠀ ⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⢻⠀ ⠀⠀⡌⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⣸⠀ ⠀⠀⢡⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀ ⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀ ⠀⠀⠸⡆⠀⠀⠀⢀⣀⣀⡀⠀⣧⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀ ⠀⠀⠀⢻⠖⠒⢶⡉⠀⠀⠹⣄⣯⠤⠤⠤⠤⠼⡇⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀ ⠀⠀⠀⢺⡀⠀⡶⠛⣲⠀⠚⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀ ⠀⠀⠀⣸⡟⠀⠉⢹⣅⣀⣀⠼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⣄⠀⠀⠀⠀⠀ ⠀⠀⣰⠛⠦⠤⠖⠋⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀ ⠀⢀⡇⠀⠀⠀⠀⠀⣀⡤⠖⠚⠉⠉⠀⠀⠀⠀⠉⠉⠙⠲⢤⡀⠀⠀⢸⡄⠀⠀⠀ ⠀⣸⡇⠀⠀⠀⣠⠞⠁⣰⡞⠒⢦⠀⠀⠀⠀⠀⠀⢀⡴⠒⢦⡝⢦⡀⠀⣇⠀⠀⠀ ⠀⢹⠁⠀⠀⡼⠁⠀⢸⡟⣷⣤⣾⠀⠀⠀⢀⡀⠀⢸⣷⣤⣾⡇⠀⢳⠀⢸⠀⠀⠀ ⢀⡼⠷⢤⣼⠃⠀⠀⠀⠻⠿⠟⠃⢀⣶⣤⣬⣥⣤⡀⠙⠻⠛⠁⠀⢸⣆⣟⡀⠀⠀ ⡏⠀⠀⠀⠙⣇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣶⣾⣿⡇⠀⠀⠀⠀⢀⡞⠁⠀⠈⢧⠀ ⣧⠀⠀⠀⠀⠀⠙⠦⡀⠀⠀⠀⠀⠀⠛⠿⠿⠿⠟⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⢸⠀ ⠈⠲⣄⠀⠀⠀⠀⠀⠈⢳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠋⠀⠀⠀⠀⠀⣠⠞⠀ ⠀⠀⠈⠢⣀⠀⠀⠀⠀⠀⢻⡻⣯⣿⡶⠂⠐⣶⣾⡿⣻⠃⠀⠀⠀⠀⡠⠊⠀⠀⠀ ⠀⠀⠀⠀⠈⠣⡀⠀⠀⠀⠀⢳⣠⠟⠁⠀⠀⠘⠦⣠⡏⠀⠀⢀⡴⠊⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠢⡄⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠈⠐⡦⠖⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⠋⠉⠁⠁⠀⠈⠉⠉⠛⠳⢦⣤⡀⢹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠷⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢀⣀⣸⠀⠀⠀⠀ ⠀⣾⡋⢹⣷⣤⣤⣀⣀⢀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣼⡀⠈⠉⡿⠓⡀⠁⠀ ⠀⠈⠛⢻⣿⣻⡟⠛⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣈⣿⡷⠶⠛⠛⠋⠉⠉⠉⠉⠉⠙⠛⠳⢶⣄⡀⠁⠰⠦ ⠀⠀⠀⢸⣿⣿⠇⠠⠀⠹⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣄⣄⣴⡾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠉⠻⣦⡀⠀ ⠀⠀⠀⢸⣿⣿⣇⢈⣘⡀⡈⠿⣿⠿⣷⣦⣄⣀⠀⠀⠀⢰⡟⣉⡽⣿⡅⠀⠀⠀⠀⠀⠀⣀⡤⠔⠒⠊⠉⠉⠀⠀⠀⣉⣭⠐⠢⡈⠻⣆ ⠀⠀⠀⠀⣿⣿⣿⣶⣾⣤⣴⣴⣴⣠⣴⣿⣿⣿⠛⠛⣿⡿⢿⣯⣥⣼⠇⠀⠀⢀⡤⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⣠⡾⠟⠁⠀⠀⠈⠢⣹ ⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠸⠟⣿⣟⠉⠉⠉⠀⡠⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠿⠶⠶⠶⢶⣏⣠⠇⢱ ⡄⠀⠀⠀⠀⠈⠛⠿⠿⢿⣿⣿⣿⢿⣿⢹⡿⣿⣷⣤⣠⣿⠉⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡶⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⣿⣄⠀⠀⠀⠀⠀⢀⣴⠟⠉⠘⠿⠀⢹⣬⣿⣿⠛⠛⢿⠇⠀⠀⣰⠃⢀⣀⣤⣤⣴⡦⠀⠀⠀⢈⣡⡶⠶⢶⣦⣀⣀⡀⠀⠀⠀⠀⠀⢀ ⠿⣿⣦⠀⠀⢀⣴⣿⡱⢾⠗⠀⠀⠀⢦⣿⣿⠇⠀⠀⢸⡆⠀⠀⡇⠚⠛⠋⢉⣽⠟⠁⠀⠀⢰⣿⣭⣄⣠⡿⠉⠀⠈⠙⢦⡀⠀⠀⠀⣸ ⠀⣽⣿⡆⣰⣿⠻⠟⠛⢶⣤⣶⣦⣿⣿⣿⡟⠀⠀⠀⣸⣇⠀⠘⡇⢀⡴⢶⡿⠋⠀⠀⠀⢀⡾⠋⠀⠈⢻⣇⠀⠀⠀⠀⠈⢿⡄⠀⣴⠏ ⠀⣿⢸⣿⣿⢹⡟⠒⣶⣾⡿⠿⠛⠋⠉⠉⠀⠀⠀⠀⠿⢻⣆⠀⢣⠘⠦⠞⠁⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⢿⠿⣧⡀ ⡀⣿⣾⣿⣿⣿⡾⠛⠉⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⠇⠀⠀⠙⢷⣄⠳⡀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⢸⣧⡈⠻ ⣿⣿⣿⣿⣿⡟⠀⢀⣀⣠⣤⣄⠀⠀⠀⠀⠈⠋⠁⠀⠀⢀⣤⠀⠙⠳⣿⣶⣤⣀⡀⠀⣀⣿⠀⠀⠀⠀⠀⢠⡟⢷⡀⠀⠀⠀⠀⠙⢷⡀ ⣿⣿⣿⣿⣿⡇⠚⠛⠿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⣠⡾⠃⣠⣴⠾⠛⠩⠭⢯⠛⠛⠛⣿⠀⠀⠀⠀⠀⢼⣧⠈⠻⠆⠀⠀⠀⠀⠀⣿ ⠉⠁⣿⣿⣿⣇⠀⠀⠀⠈⠻⣿⣿⡿⠀⠀⠘⠓⠚⠛⠉⢠⣾⠋⠁⣀⠤⢒⣋⡙⠆⠀⣀⣿⡀⠀⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⢻ ⠀⠀⠸⣿⣿⢿⡄⠀⠀⠀⠀⢀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⣳⣿⠾⠟⠻⣦⢀⣾⠿⠃⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⢻⣷⣿⣿⣄⠀⠀⡞⠁⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⠿⠋⠀⠀⠀⠀⢸⡟⢹⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾ ⠀⠀⠀⠀⠙⢿⣿⣿⣷⣄⣉⣩⣥⣶⣶⣶⣾⣿⣶⢶⣶⣶⠞⠁⠀⠀⠀⠀⠀⢀⡿⢀⡞⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇ ⢀⣤⣤⣄⣀⣀⠉⣙⣿⣿⣿⣿⣋⣿⣟⡈⢻⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⣀⣴⡟⠡⠞⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣼⣿⢟⣹⣷⠶⠶⠶⠶⠶⠶⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣠⣴⠾⠛⠋⢉⣿⡟⢷⣾⡇⠿⣦⡀⠀⢀⠠⠐⢠⢀⡉⠛⠻⣶⣄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⢻⣿⢛⣿⢻⡶⣤⣸⣾⣯⣽⣾⣨⣿⠀⣿⣷⡄⠠⠀⠀⠂⡐⠌⡑⢢⢀⠉⠻⣦⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⢾⣿⣴⣉⣧⣛⣼⣿⢿⣯⡋⢻⣱⣞⣦⢝⣿⡇⣤⣿⡄⠀⠈⠀⡀⠠⠈⠐⡈⠆⡁⠘⣿⡄ ⠀⠀⠀⠀⠀⣠⡾⠋⠁⠀⢹⣿⣏⡉⢧⣎⣻⡖⣿⡿⠟⠳⣭⣿⡼⠟⠛⣻⣾⠛⢷⣤⣂⠀⢀⠁⠈⠀⠐⠐⠱⣸⡇ ⠀⠀⠀⢀⡼⠏⡀⠐⠈⠀⠀⣾⡧⢉⣿⠋⣿⠖⡿⠀⢀⠠⢀⣈⣉⣍⣯⣏⣆⣀⠀⡈⢙⣿⠶⠶⣤⣥⣦⡾⠾⠋⠀ ⠀⠀⢠⡟⡁⠒⡄⠁⠂⢈⠀⢼⣿⡁⣾⡟⣡⠞⢁⣴⠶⠛⠋⠉⠉⠀⠀⠀⠈⠉⠛⣶⡸⣻⠷⠲⠀⠀⠈⣧⠀⠀⠀ ⠀⢠⡟⣨⠔⠃⠄⡁⠀⠐⢨⣿⠈⠛⠿⢿⣳⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⢷⣦⡶⠂⢸⣇⣿⣠⣄⠀⠀⠀⣹⠀⠀⠀ ⠀⣿⠁⡜⢨⠁⠂⠀⡀⢦⣾⠃⠀⠀⢤⡿⠋⠀⢀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⢀⣾⡿⠋⠁⠀⠀⠀⠘⢿⡄⠀⠀ ⢸⡏⠀⡎⡀⠆⠀⡀⣰⣿⡇⠀⠀⢁⣾⠁⠀⢀⣾⡆⠀⠀⠀⢾⣉⡿⠀⠀⢀⣶⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀ ⠸⣷⠀⠕⢄⠠⠐⣰⡿⠋⢿⣤⠀⠈⣿⡀⠐⠛⠋⠀⠀⠀⠀⣈⣽⣧⣖⠛⠛⢯⣽⣛⡶⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀ ⢸⡿⢷⣬⣤⣶⠿⠋⠀⠙⠉⠙⢻⣶⣬⣷⣦⣤⣤⣤⣤⢶⣾⠏⠈⠁⣹⣆⣠⡀⠀⢹⡆⠀⠀⠀⠀⠀⠰⠀⣼⠀⠀ ⢸⡇⠀⠀⠀⠀⠠⠀⠀⠀⠀⠺⠋⠉⠀⢀⣠⠞⠋⢁⣰⠏⠀⠀⣴⠞⢏⣭⣯⣓⡶⠾⢥⣄⠀⠀⠀⠀⠀⣴⠇⠀⠀ ⠈⢷⡀⢀⡄⠀⠀⠈⠑⢦⡀⠀⡀⠔⠉⠈⠹⠶⠦⠷⠿⣤⣤⠾⠧⢷⡿⠉⠀⠈⣷⠀⠀⠹⡆⠀⠀⢰⠟⠁⠀⠀⠀ ⠀⠈⠛⢾⡇⠀⢠⢀⢄⠊⠙⠢⣄⡀⠀⠀⠀⠀⠚⠶⣤⣿⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⣿⠀⢠⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢷⡋⠉⠳⣀⢀⠀⠀⠀⠉⠂⠀⠀⠀⢠⣤⣏⣿⡀⠀⠀⠀⠀⠀⠀⣸⢷⡀⠀⢀⣟⡴⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠳⣄⠀⠈⡉⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⠤⠽⢦⣀⣴⠏⠀⢉⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠲⠮⣥⣤⣼⣦⡀⠀⠀⠀⠀⠀⠀⣀⣶⣀⣀⣀⣀⣀⣤⡴⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠒⠒⠒⠛⠉⠁⠀⠀⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
🟩🟩🟪🟪🟩🟩🟩🟩🟩🟪🟪🟩🟩 🟩🟪🟪🟪🟪🟩🟩🟩🟪🟪🟪🟪🟩 🟩🟪🌫️🟪🟪🟩🟩🟩🟪🟪🟪🟪🟩 🟩🌫️🟨🌫️🟪🟩🟩🟩🟪🟪🟪🟪🟩 🟩🟪🌫️🟪🟪🟩🟩🟩🟪🟪🟪🟪🟩 🟩🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟩 🟩🟪🟪🌫️🌫️🌫️🌫️🌫️🌫️🌫️🟪🟪🟩 🟩🟪🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🟪🟩 🟩🟪🌫️⬛🌫️🌫️🌫️🌫️🌫️⬛🌫️🟪🟩 🟩🟪🌫️⬛🌫️🌫️🟨🌫️🌫️⬛🌫️🟪🟩 🟩🟪🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🟪🟩 🟩🟩🟪🌫️🌫️🌫️🌫️🌫️🌫️🌫️🟪🟩🟩 🟩🟩🟩🟪🟪🟪🟪🟪🟪🟪🟩🟩🟩
⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⡇⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠈⡄⠀⠀⢸⠀⠀⠀⠀⠀⠀⡇⠀⠀ ⠀⡄⠀⠀⠀⠀⠀⠀⠃⠀⠀⠸⠀⠀⠀⠀⠀⠀⠃⠀⠀ ⠀⢃⠀⠀⠀⠀⢀⡠⢼⠀⠀⠀⢀⢔⣆⣀⣒⣼⠀⠀⠀ ⠀⠘⡄⡠⠒⠲⠇⠀⠀⡑⠒⠃⡆⢇⠀⠀⢨⢳⠀⠀⠀ ⠀⠀⠱⣇⠀⢰⠁⠈⡆⠑⡄⠀⠘⠄⣑⣒⡡⠒⢄⠀⠀ ⠀⠀⢀⠟⡏⠀⠑⠒⡁⠠⠃⠀⠀⠀⠀⠀⠀⠀⠈⢡⠀ ⠀⢠⠃⠀⠑⡤⠠⠞⠀⠀⠀⣀⠠⠤⠤⠤⠄⡀⠀⠀⢣ ⠀⠆⠀⠀⠀⠀⠀⠀⡀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠑⢆⠸ ⠀⠀⠀⠀⠀⠀⢀⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⠄⣦ ⠀⡆⠀⠀⠀⠀⠆⠀⠰⠏⠉⠉⠀⠀⠀⠚⡀⠀⠀⠀⡟ ⠀⠘⢄⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠀⠀⢀⠜⠀ ⠀⠀⠈⡱⠤⢀⣑⢄⡀⠀⠀⡀⠀⠀⢀⣀⢤⠂⠁⠀⠀ ⠀⠀⡸⠄⡀⠀⠀⠈⣉⡩⠅⠋⠉⠉⠁⠀⠀⢇⠀⠀⠀ ⣠⡞⠀⣀⣀⠉⠉⢀⣀⣀⣀⣀⣀⢀⡀⠀⠀⢀⡆⠀⠀
⁺˚⋆。°✩₊🎀🍓ᴍʏ ᴍᴇʟᴏᴅʏ🍓🎀 ⁺˚⋆。°✩₊
⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀ ⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠀⠀⠀⠀⠀⣼⠀⠀⢀⣤⠾⠋⠉⠉⠉⠛⢶⣄⢀⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠛⠉⠛⠻⣄⠀⠀⠀⠀⣹⠀⢠⡟⢠⡶⠛⠻⣦⣤⠶⢦⡈⣿⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⡄⠀⠀⢀⣠⡤⢤⣤⣺⡏⠀⠀⠀⠀⠀⠸⣧⠤⠶⠶⠛⠀⡞⠀⣎⠀⠀⠀⠀⠀⠀⠀⢹⢻⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣧⠀⢠⡞⠉⠀⠀⠀⠙⠃⣀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⢀⢧⠀⠹⣦⠀⠀⠀⠀⠀⣰⠟⢸⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠼⣆⣟⠀⠀⠀⠀⠀⣰⠞⠉⠉⠓⣆⠀⠾⢷⣄⠀⠀⠀⠀⠘⢧⠀⠈⠳⣦⣀⣠⡾⠋⢠⣿⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠻⡿⣄⠀⠀⠀⠀⡏⠀⠀⠀⠀⢸⡆⠀⠀⡹⡆⠀⠀⠀⠀⠈⠑⢦⣀⣀⣉⣁⣠⠴⠋⠀⠘⢷⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⣮⣿⣿⠇⠀⠻⣤⣀⣀⣠⠏⠀⠀⠀⣰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠽⣦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⠇⢸⠃⠀⠀⠀⠈⠉⠉⢠⣀⣀⣀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⢧⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡟⠁⠀⢸⡆⠀⠀⠀⠀⠀⠀⣼⠙⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⠀⠀ ⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠙⢦⣄⣀⣀⣠⠾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⡤⠤⠤⠤⢤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠙⡇⠀ ⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠙⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠞⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⢤⣀⠀⠀⠀⠀⢿⡄ ⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣤⠀⠀⢸⡇ ⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⡇ ⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⢀⡇ ⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠃⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⠿⣿⠻⠗⠀⢹⢸⡇ ⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⢀⣴⡾⠟⠛⠛⡿⠷⠀⠀⠀⠀⠀⠀⢠⣴⣶⠀⠀⠁⠀⠀⠀⠀⠀⢼⡿⠁ ⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠐⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⢀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣃⠀ ⠀⠀⠀⠘⣷⠆⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⢤⡤⠖⠋⠀⠀⠀⠀⠀⠀⠀⣼⣋⠀⠀ ⠀⠀⠀⠀⠘⢷⡄⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣻⡷⢤⣀⡀⠀⠀⠙⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⡞⠋⠁⠀⠉⠉⠓⠒⠶⠤⣭⣷⣦⣤⣤⣤⡤⠤⣶⣶⣤⣤⣀⣤⣤⠶⠞⠛⠉⠙⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡴⠋⠀⠙⠶⢤⣀⣀⣀⣀⣀⣀⣠⠴⠶⠖⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣴⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀ ⣀⣰⢫⡞⢀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⣀⣀⣀⣀⣀⢀⣀⣀⣀⣰⣇⠀⠀⠀⠀⠀⠀
⡄⣈⡳⠀⠀⠀⢠⠎⠁⠀⠉⢣⡈⠈⡹⠿⠍⠩⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡯⠒⠛⢕⠄⠘⠀⠀⠀⠀⠀⢣⠀⣾⡏⠉⡇⡍⣏⣿⡿⠋⠁⠀⠉⢿⣿⣿⣿ ⡟⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠸⡄⣿⣇⣀⣇⡁⣟⠏⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⠧⣢⠤⢤⣪⠆⢸⠀⠀⠀⠀⠀⠀⣧⢹⣿⡟⠛⢻⡏⠀⠀⠀⠀⠀⢀⡿⢿⣿⣿ ⠀⠀⠀⠈⠁⠀⢠⠆⠠⡔⠁⡄⠀⡷⠒⠛⠉⠉⡙⠀⠀⠀⠀⠀⠀⣜⠤⠤⠁⠀ ⠀⠀⠀⠀⠀⠀⢸⣦⢎⢀⠍⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢈⠟⠤⠌⠁⠉⡠⠐⠒⠢⢄⠀⠀⠀⠀⠀⠀⢾⡸⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⣠⠮⠄⠒⠒⠂⠠⠍⣦⡀⠀⠀⠀⠀⢻⡈⠂⠀⠀⠀ ⠀⠀⠀⠀⢀⡜⠀⠀⡠⢊⣤⡀⠀⠀⠀⠀⠀⢀⣤⣅⢄⠀⠀⠀⠈⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠁⠀⠔⠀⣿⣿⡇⠀⢠⡄⠀⠀⢸⣿⣿⠆⢢⠀⠀⠀⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢆⠘⡄⠀⠈⠉⠀⠀⢀⡀⠀⠀⠀⠉⠉⠀⡌⡇⠀⢀⠆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠑⢌⠲⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣜⠔⢀⠴⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠗⠦⣉⠀⡲⠲⢖⠒⠒⢀⡥⠮⠊⠁⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡈⠀⠀⠀⠀⠆⠉⡆⠉⠉⠁⠀⠀⢣⠐⠊⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠁⠀⠀⠀⠀⡔⠛⡄⠀⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⠀⠀⠀⢀⣀⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⡿⠟⠛⠛⠛⠿⣿⣶⣾⡿⠛⠛⠛⠛⠛⢿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⣶⣶⣶⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠈⢻⣷⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡿⠟⠉⠁⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠋⠉⠙⠛⠿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⣾⡿⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠛⠿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡾⠛⠛⠛⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⠛⠛⠻⣷⡄⠀⠀⠀⠀⠀⠙⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣏⣴⣶⠿⠿⣿⠏⢿⣆⣀⣀⣀⠀⠀⠀⢀⣿⠿⣿⡿⢷⣦⣼⣿⡆⠀⠀⠀⠀⠀⠈⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠟⢿⣦⣾⡟⢀⣿⡿⠿⠿⠝⣷⠀⠀⠸⣿⡀⢻⣧⣴⡿⠏⣸⡇⠀⠀⠀⠀⠀⠀⢻⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣾⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡾⣻⡿⣷⣤⣉⣹⣿⠿⠙⠷⠶⠶⠾⠋⠀⠀⠀⠹⢷⣮⣿⣷⣤⣶⣿⣷⣦⡀⠀⢀⣀⠀⣾⣿⠀⠀⠀⠀⠀⠀⠀ ⢠⣿⡟⠀⠀⠀⠀⠀⠀⢀⣤⣶⣶⣶⣶⣦⡄⠀⠰⣟⠞⣁⣴⠟⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⣷⣍⠻⡾⣿⠀⠘⢿⣷⣿⣧⣤⣤⣄⣀⠀⠀⠀ ⢸⣿⠀⠀⠀⠀⠀⠀⢀⣿⠋⢀⣤⣿⣧⠈⢿⡆⠀⠙⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠛⣠⡀⠀⠀⠉⠉⠛⠛⠛⠻⣿⣦⡀ ⢸⣿⠀⠀⠀⠀⠀⠀⢸⣯⣰⣿⣁⣠⣿⣠⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣤⡀⠀⠀⠀⠀⠀⠀⠈⢿⣧ ⠘⣿⣧⡀⠀⠀⠀⠀⠀⠻⣿⣏⠙⠛⢛⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⣀⣾⡿⢿⣶⣶⣶⡿⢿⣧⣀⠀⠀⣀⡀⠀⠀⠀⠀⠈⠻⢿⣷⣤⣀⣀⣀⣀⣤⣿⡏ ⠀⠈⣻⣿⠆⠀⠀⠀⠀⢀⡿⣿⢷⡾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿⠿⠶⠿⠿⠋⠀⠀⠀⠀⠀⠀⠈⢙⣻⠿⠿⢿⣧⠀⠀⠀⠀⠀⠀⠀⢹⣿⠟⠿⠿⠿⠛⠉⠀ ⠀⣸⣿⠃⠀⠀⠀⠀⠀⣿⢱⠏⣸⡇⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣆⠈⠻⣷⣶⣶⡄⠀⠀⠀⣼⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⡇⠀⠀⠀⠀⠀⠀⠙⢿⡾⠛⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⠀⠀⣾⣿⠿⠿⣷⣦⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⢻⣿⡀⠀⠀⣾⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠈⠙⠛⠁⠀⣸⣿⡁⠀⠀⠈⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢿⣷⣤⣰⣿⠁⠀⠸⣿⡀⠀⠀⠀⠀⠀⢾⣿⠟⠋⢰⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⣾⠟⠛⣿⡆⠀⠀⠀⠀⠀⠀⢀⣼⡿⠟⠻⣷⣤⣾⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢉⣿⣿⠏⠀⣀⣤⣿⣧⣄⣀⠀⠀⠀⠘⣿⡇⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠻⠶⠶⠟⣀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠘⢿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⣾⠟⠁⠀⣾⡟⠉⠉⠉⢙⣿⣷⣶⣤⣴⣿⣧⣄⠈⠻⠿⠟⠀⠀⠀⠀⠀⠀⠀⢠⣤⣀⣴⡿⠀⠀⣀⣴⣾⠟⠁⠀⠀⠀⠀⠀⣠⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⠃⠀⠀⠀⢿⣧⡀⠀⠀⣿⡟⠉⠉⠙⠋⠉⠉⢻⣷⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠉⢉⣁⣤⣶⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣄⠀⠀⢀⣼⣿⠿⣷⣾⡿⠃⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠻⣷⣶⣤⣤⣤⣶⣶⣾⡿⠿⠛⠋⠁⠀⠀⠀⣶⣦⡄⠀⠀⠀⣀⣠⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠻⠿⠿⠿⠛⠁⠀⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡄⠀⢸⣿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣷⣶⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣧⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⡍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⢿⣷⣀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣻⣿⡿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⡿⡁⠰⣀⠙⠳⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡧⢇⠡⠄⢊⠡⡘⢻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣤⡾⠷⠷⠾⣬⣆⡡⢐⠡⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣿⠃⠤⠑⡨⠐⡄⢊⠛⣷⣆⠡⠚⣷⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⡇⡎⡐⢡⠐⡡⠐⡌⠰⢀⠽⣧⠑⡸⣟⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⡁⠗⡈⢶⣥⠐⡡⠄⢃⠌⡠⢿⡃⠤⠹⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⣵⠟⠓⣦⣙⠻⢶⣬⣦⣦⡵⠟⡠⠑⡈⢿⡆⠀⠀⠀⠀ ⠀⠀⠀⣶⠉⠁⡔⠲⡄⠈⡿⢀⠢⠐⡄⠢⢡⠐⡡⠌⠌⠻⣷⡀⠀⠀ ⠀⠀⣠⡿⣶⠀⠙⡊⠀⢸⠉⡄⠢⢑⠠⠑⢂⠔⡐⠨⠌⠡⠌⣻⣆⠀ ⠀⢠⡿⢁⠜⠛⢋⠙⣛⣭⡴⠶⠷⠚⠒⠛⠶⠶⢬⣅⡊⣁⠒⠠⢻⣅ ⠀⣿⡃⠎⣀⠣⣼⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢶⡌⣁⠚⣿ ⠀⣿⡁⠆⡉⣴⠋⢠⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣶⡈⢳⡍⡐⣿ ⠀⢻⣇⠢⢁⡏⠀⠸⣿⠇⠀⠀⠀⠀⢠⡒⡄⠀⠀⠹⠿⠃⠀⡇⣼⡟ ⠀⠀⠻⣷⣌⢷⡀⠀⠀⠀⠀⠀⠀⢠⠤⡤⠀⠀⠀⠀⠀⠀⣸⣷⠟⠁ ⠀⠀⠀⠈⠙⢻⣿⣦⣤⣄⣀⣀⣀⣀⣉⣀⣀⣀⣀⣤⣴⡿⠛⠁⠀⠀ ⢠⡤⢤⣤⣀⡸⠿⢦⣄⠰⣈⡿⠉⠉⠉⠙⢯⣉⡿⠺⠛⠉⠙⣧⠀⠀ ⢸⣆⠘⠈⠈⠀⠀⢀⡌⠙⠛⠁⠀⠀⠀⠀⠈⣍⣀⣀⣀⣠⡴⠏⠀⠀ ⠀⠈⢓⡖⠒⠒⡻⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣧⡀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠉⠛⢿⡄⠀⠀⠀⠀⠀⢢⠀⠐⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⠠⠬⡇⠀⠀⠀⠀⠀⠾⡀⠐⠺⡤⠤⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣜⠆⠀⠀⠙⠶⠦⢤⣀⣀⣠⣧⣀⣤⠇⠀⠀⠘⡆⠀⠀⠀⠀ ⠀⠀⠀⠈⠒⠤⠄⢠⡀⠀⡀⠀⠀⠀⡀⢀⢀⡄⡤⠠⠜⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠖⠲⡄⠀⠀⠀⠀⠀⠀⠀⠀⡿⡑⢎⠲⡑⢎⠲⣉⠖⡩⡜⣩⢛⣷⣎⡖⡱⢊⣿⠀⠀⠀⠀⠀⠀⠀⠔⠀⠈⠀⠀⠀⠀⠀⠈⢳⠀⠀⠀⠀⠀⠀⠀ ⠄⠀⠀⠀⠀⠀⢠⡞⠉⡏⢡⢆⡴⠋⠙⢢⠀⠀⠀⠀⠀⣺⢇⡹⢌⢣⠹⣌⢣⠓⣎⠱⡜⢤⠣⡜⣹⣷⡱⣩⣿⠀⠀⠀⠀⠀⠀⠀⠑⣤⠀⢀⠀⢠⠀⢁⠀⢠⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡷⠖⠞⠋⠁⠀⠀⠀⠸⡄⠀⠀⠀⠀⣿⠎⡴⣉⢎⡱⢌⡲⣉⠦⡙⡜⢢⠣⡕⢢⢽⣷⢱⣿⠀⠀⠀⠀⠀⠀⠀⠀⠸⣄⠈⠁⠼⠚⣀⡴⠋⠀⠀⠀⠀⠀⠀⠁ ⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⢀⡀⠀⢻⠀⠀⠀⠀⣿⡛⢤⢃⡜⣴⣿⣤⣇⠴⢣⠰⣃⠦⡰⢃⣼⣿⢘⣿⡐⠀⠀⠀⠀⠀⠀⠀⠀⠘⠧⠴⠤⠞⠃⢠⠠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⣤⠐⢄⣀⠡⢀⡼⠀⠀⠀⠀⣿⡍⢆⢧⡿⠁⠀⠀⠙⣿⣡⠓⡬⢒⡱⣩⣾⢇⠮⣙⠛⡟⡶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠐⡁⣄⠰⠠⢀⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⣀⣀⣉⡥⠔⢋⡀⠀⢀⣠⣤⣿⣼⣘⣾⠁⠀⢀⡀⠀⣿⣟⡙⠾⡟⢟⡫⡑⢎⢲⢡⢋⡴⠱⡌⡝⣻⣦⡀⠀⠀⠀⠀⡐⠁⠀⡂⡀⠀⠔⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠠⢄⠀⠰⠐⢠⡟⠁⠀⠀⠀⣹⠟⠛⢿⡋⠁⠀⠀⢻⣏⠖⡩⢆⡱⣉⠎⡆⢇⠮⣐⠏⣔⠣⢆⠭⢻⣦⡀⠀⠀⠀⠄⢃⠀⠄⠣⠄⡂⠀⠀⠀⠀ ⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⢀⠸⠀⢂⠡⠠⠘⣧⠀⠀⠠⡴⠻⣄⣀⣼⣃⠀⠀⣀⣼⢏⡜⡱⢊⠵⣈⢎⡕⢪⢒⠥⡚⢤⢋⡼⢌⢣⢚⢿⡄⠀⠀⠀⠀⠢⠅⠀⠀⣠⠤⡀⠀⠀ ⠀⠀⡘⠉⢱⣄⡀⠀⠀⠀⠀⠀⠀⣑⠈⠐⡈⢄⠘⢳⣦⠀⠀⠀⠈⣿⠫⡝⣛⠻⣍⠳⣌⠲⣡⢋⠖⣩⠒⡬⢃⠮⡱⣉⠦⢣⠜⣘⠦⣉⢎⣿⡄⠀⠀⠀⡴⠒⡶⠋⡇⢀⠍⠀⠀ ⠰⠀⡀⢰⠏⠀⠈⡇⠀⠀⠀⠀⣀⠉⢆⠸⠀⠀⠰⠀⣿⡀⠀⠀⣸⡏⢷⠸⣀⠷⡈⢷⡈⢷⡀⣏⣸⣶⣿⡿⠿⠿⠿⠿⢿⣶⣏⡆⣇⠱⡎⣸⣷⠀⠀⠀⢷⠀⢹⣈⠷⠉⠀⠀⠀ ⠂⠀⠁⠀⠀⠀⠀⢧⡀⠀⠀⠀⠁⢄⠊⠁⠁⢀⣰⠚⢹⡟⢶⡛⢏⡜⢢⠝⡤⢓⡍⢦⣽⡶⠟⠋⠉⠀⠀⠀⠀⠀⠀⢀⣠⣴⠟⣯⣲⣳⠘⡴⣿⠀⠀⠀⡞⠉⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⠀⠀⣧⠀⠀⠀⠀⠀⢰⡏⠹⣏⡸⢆⡜⡍⢦⡙⢦⡘⢣⠚⣔⣣⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⣧⡟⡖⣟⡇⢻⡝⣼⡏⠀⠀⠀⠙⣦⠀⢀⡀⠀⠀⠀⠀ ⠀⠀⠀⢐⡦⠀⢀⡴⠃⠀⠀⠀⠀⠀⢀⡷⠒⠖⠉⠀⣿⡜⢢⡙⢦⡙⢆⣻⣾⣥⣤⠶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢺⣽⣯⠿⠇⢸⣏⡏⠀⠀⠀⠀⠀⠸⣄⠈⢀⠐⠀⡀⠀ ⠀⠠⠤⠤⠴⠚⠉⠤⡀⠀⠀⠀⠀⠀⠘⣇⡀⠀⠀⠀⢻⣎⠵⡘⢦⡙⣼⡟⡷⣽⣺⠶⣯⠃⠀⠀⠀⠀⣶⣛⣷⠀⠀⠀⠈⠀⠀⠀⢀⣿⠟⢁⠀⠀⠀⠀⠀⠀⠈⠙⠒⠋⠉⠀⠀ ⠀⠀⠀⠀⡂⠄⡀⠥⠐⠀⠀⠀⠀⠀⠀⠀⢇⠀⠳⠀⡚⣷⣣⠙⢦⠱⣿⠀⠈⣳⣯⡟⣿⠀⠀⠀⠀⠀⠈⣽⣶⠀⠀⠀⠀⠀⣀⡴⠟⠁⠐⠬⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠂⠀⡔⠀⠂⠁⠀⠀⠀⠀⠀⠀⠈⢳⣤⣤⣴⠚⣷⡝⢢⠙⣿⡄⠀⠉⠈⠀⠀⢠⣤⣤⡄⠀⠀⠙⠛⠀⢠⣴⣶⠛⠉⠀⠀⠀⠀⢠⡞⠓⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠢⠑⣂⠡⠄⠄⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⢀⠈⠻⣮⣕⡚⢷⣤⡀⠀⠀⢀⡟⠁⠈⢻⣤⡤⢶⡶⣛⡛⢿⣦⡀⠀⠀⡖⠒⡞⠙⡄⣠⠟⠒⢤⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢂⢡⠀⠈⠊⣀⡀⠀⠀⠀⠀⠈⢡⠀⠬⠀⢈⠄⢢⠉⠛⠛⠛⠛⢛⡿⠋⠻⣤⡤⠘⠛⠀⠈⢻⡴⣉⣶⡟⠁⠀⠀⣧⠤⡭⠝⠊⠉⠀⠀⢘⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠚⠁⠙⠢⢄⡀⠐⠄⡠⠜⠈⠱⠈⠂⠁⠀⠀⠁⠀⠀⠘⣧⣀⢀⣸⠟⠶⣤⣤⣤⠀⠛⠋⠉⣷⠀⠀⠐⡇⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢄⠰⢀⠒⠤⣃⢜⡰⢣⠜⣢⠓⣌⣲⡑⡎⢖⣍⠲⣥⣋⣾⣱⣿⣿⢿⡟⣟⣯⢻⡝⣯⢻⡽⣹⢯⡝⣯⡝⣯⢻⡝⣯⢏⡿⣹⢏⡿⣹⢯⡻⣟⢿⢿⡿⣿⣿⣽⣜⢆⡒⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⠂⢡⣰⣬⠶⠟⠛⠛⠋⠉⠉⠉⠋⠙⠛⠳⠶⣽⣿⡼⠶⠿⣶⣿⣿⡟⣟⢮⣻⠼⣏⡾⣭⢻⡼⣳⡝⣧⢟⡾⣱⣻⠼⣏⣾⢣⢿⣱⢟⡮⣗⢯⡞⣽⡹⣞⢧⡟⣵⣻⣿⣿⣷⣵⡘⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⠶⠶⠶⠞⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⣖⣿⣿⣛⡧⣟⢾⡹⢮⡟⣵⢻⣜⢯⣳⡝⣾⡹⢮⣗⡻⣜⣯⢳⡞⣭⢷⣫⢞⣳⡽⢮⣽⢺⡵⣛⣮⢽⣣⢟⡾⣹⢿⣿⣽⣎ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⠞⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢠⣾⣿⣛⣶⢫⢷⣹⡞⣽⣣⠿⣭⡳⣏⡾⣱⡻⣖⣻⡝⣮⣝⣳⢞⡽⣺⡝⣮⡳⣏⢷⣹⡳⢮⡗⣯⣝⢮⢷⣹⢮⡽⣝⡾⣹⣻⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⢾⣋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠿⠿⠷⢽⣮⣿⣣⢷⣫⠷⣭⢟⡶⣏⢷⣹⡳⣝⡧⢷⣹⡳⢮⣝⢾⡹⢧⡻⣵⢻⡼⣫⢶⡻⣝⢾⣱⡞⣯⢞⣧⡻⣼⢣⡟⣵⡳⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠬⡙⡷⠯⠿⠼⠯⠾⠽⣮⣷⣹⣧⢻⣝⡶⣻⡝⣮⡳⣏⡯⢷⣭⡳⣝⡧⣏⢷⣫⢞⣧⢻⡼⣫⠶⣏⢷⣫⢽⣖⡻⣽ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠁⠀⠀⠀⠀⢀⠀⠀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢟⡾⣵⣳⢏⡷⣝⢾⣹⢳⢮⣝⢾⣱⢯⣳⢽⣚⡾⣭⣳⢏⣟⢾⡹⢮⣗⡮⡽⢶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣠⣀⣤⣰⣤⣶⣼⣶⣶⣶⣼⣾⣧⣦⣿⣫⣄⣀⠀⢤⡀⣠⡾⠾⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⢽⢻⣷⣫⢾⣭⣛⡾⣼⢣⡟⣮⢳⣏⡷⣽⢲⣝⣮⣽⣎⣟⣳⢮⣗⡻⣽ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣮⣵⣾⢿⡟⣟⣻⢽⣫⢟⡼⣧⢷⣺⡜⣧⠷⣝⡾⣝⢯⡟⣯⣿⣷⠟⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢻⣿⣳⢮⣳⢽⣺⡭⣟⡼⣏⣾⣵⡿⡛⡉⠁⠀⠈⠘⢭⡻⣮⡽⢶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣯⢿⡿⣹⡳⣏⣞⡧⣟⡽⣎⡷⣫⠾⣝⣮⢳⢧⣻⢭⡟⣽⢺⡝⣾⣹⣽⠟⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠩⢟⡳⢿⣶⣹⣮⣿⢿⠋⠛⠉⠀⠀⠀⠀⠀⠀⠀⠌⠻⣿⣹ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⣜⣻⡿⣿⣸⢇⣿⢣⢿⣸⡜⣧⢻⡼⣣⢟⡧⢿⡻⣜⡟⣧⢻⣜⣻⡼⣻⣼⢟⣿⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⡿⢟⠛⠸⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣣ ⠀⠀⢀⠀⡀⢄⢢⣼⣷⡿⣟⡽⣖⢯⡻⣜⢯⣳⡝⡾⣭⣳⡝⣧⢟⡞⣯⢳⣝⠾⣭⢷⣫⢞⣵⣧⠿⡟⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣽ ⢀⡁⠢⡐⣼⣾⣿⢯⢯⣽⢺⡵⣫⠾⣽⡹⣞⡵⣫⢷⡳⢧⣛⣮⢟⡾⣭⢻⡼⣏⢷⣯⡾⢿⡫⠃⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟ ⠠⣌⣱⣽⣿⢯⣳⣛⡾⣜⡧⣟⡵⣻⢵⡻⣜⣳⢏⡷⣝⢯⣳⢮⣻⣜⡳⣏⣾⣫⡿⣏⡴⠶⠖⠒⠲⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡟⠀⠀ ⣱⣲⣿⢿⡭⢷⣫⢞⡵⣏⡾⣵⢫⡗⣯⢳⣏⢷⡻⣜⢯⢾⣱⢯⡖⣯⢳⣏⣾⡿⡼⠋⠀⠀⠀⠀⠀⠀⠉⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡾⠛⠁⠀⠀⠀ ⣳⡿⣏⡷⣛⣧⢟⡾⣹⢎⡷⣭⣗⡻⣼⢳⢮⣳⢽⡹⣞⡽⣎⢷⣫⢽⣣⣿⢧⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⠦⢤⣄⣀⣀⣀⣠⣤⣤⣤⡶⠷⡛⠉⠃⠉⠀⠀⠀⠀⠀ ⣿⡻⡵⣏⢷⢮⣻⣜⢯⡻⣼⢳⢮⣝⠾⣭⡳⣏⡾⣝⢮⠷⣭⡷⣟⣾⡯⠯⠤⣼⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠁⠀⠀⠀⠈⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣷⢻⡵⣛⣮⢟⡶⣹⢞⣳⡭⣟⡞⣮⢻⡵⣻⣜⣳⡭⣏⣿⣳⠞⠋⠀⠀⠀⠀⠀⠁⢀⡠⠔⠒⢒⠲⢤⠀⠈⠋⠉⠛⠳⢤⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡙⣿⡌⠀⠂⠀⠀⠀⠀⠀⠀ ⡷⣫⢞⡽⣎⠿⣜⡯⣞⢧⣻⢼⣹⢧⣻⢼⡳⣎⣷⣹⢳⣿⠁⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠈⠠⠀⣧⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⡰⣦⣷⣶⣭⣕⣦⣢⣡⣍⣤⣤⣠⣴⣴⣾⣄⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡱⣸⡧⠀⠀⠀⠀⠀⠀⠀⠀ ⣟⡵⣫⢷⡹⣏⡷⣹⡞⡽⣎⠿⣜⣧⣛⡮⣗⢯⡖⣯⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠁⢸⠀⠀⠀⠀⠀⠀⠘⡇⡐⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣀⡀⢀⡐⢠⢄⣭⣶⢿⣛⡶⣝⣮⡽⣛⣯⢿⡹⣏⢿⡹⣎⡷⣎⢿⣻⣮⣔⡍⡀⡀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⢸⣇⡀⠀⠀⠀⠀⢀⠠⠀ ⣽⢺⡵⣏⢷⣫⢞⣧⢻⣝⡞⣯⣳⢎⣷⣹⢞⡧⣟⢮⣻⣧⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⣰⠇⠇⠀⠀⠀⠄⠀⠀⢀⣶⡶⣼⣤⢾⡷⢿⡻⢿⣻⡜⣧⢻⣜⣳⣎⣵⣯⡽⠧⠿⠼⠧⠿⣵⣹⣞⣭⡷⣹⢏⡿⣟⣧⣵⣶⣠⣀⣀⣈⡑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⢸⡧⢃⠀⡀⠠⠁⠠⠀⡄ ⡞⢧⡻⣼⢳⣭⡻⣜⢯⡞⡽⢶⣭⣛⣶⣹⣎⣷⣭⣳⣧⣛⣦⡀⠠⠀⠀⠀⠀⠀⠀⠳⣄⡀⠀⢀⣠⠞⠁⠀⠀⠀⠀⠀⣠⠏⠀⠐⠀⠀⠀⠀⢀⡔⣾⣿⡹⢧⣏⣷⣹⣗⣿⠷⠷⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠺⢽⣞⡼⣧⣟⡽⣫⣟⡻⣷⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⣿⢐⡀⠂⢄⠈⡐⠡⡘⢀ ⠀⠈⢳⢭⡳⣞⡽⣹⢮⣝⢯⣿⣾⠻⠉⠀⠀⠀⠀⠀⠀⠉⠉⠉⢛⢓⣒⡖⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⡀⠀⠀⣀⣠⠞⠁⠈⠀⠀⠀⠀⠀⢂⣸⣾⡟⣧⣟⣳⣾⠖⣛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢳⢾⣯⢷⣭⢻⣽⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⢻⣦⠀⠅⢂⠘⢠⠁⡒⠄ ⠀⠀⠈⡞⣵⢫⠾⣝⣾⣮⣟⡻⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⢐⣮⣿⢳⣝⣶⠟⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣯⣞⣿⣯⣂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⠣⠈⡄⢈⠂⢡⢂⠡ ⠀⠀⠀⢸⡱⢯⣻⠵⣞⣏⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢀⠸⣄⠀⡀⠀⠀⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⣠⣾⡿⢯⣽⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⠿⣿⡾⣽⣷⣆⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠤⢃⠰⠠⠉⡄⢂⠡ ⠀⠀⣾⣖⣻⣝⡧⣿⣹⣧⠃⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⣄⣀⣀⣀⣠⡤⠞⠃⠀⠀⠀⠀⠀⡔⣠⣤⣼⣷⠿⣟⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢀⣠⣶⣾⣿⣿⡿⠙⣿⡷⣺⢽⣻⣮⣄⠀⠀⠀⠀⠀⠀⠀⠘⣿⠐⠠⢂⠡⡑⠠⢃⠂ ⠠⡈⠝⡛⢿⡾⣷⣷⣷⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣲⠢⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢩⣿⣻⣞⢧⣿⣽⡞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣿⣿⣿⡿⠟⠉⠀⠀⠀⢿⡷⣫⡽⣾⠁⠀⠀⠀⠀⠀⠀⠄⣸⣧⠈⠂⠄⠂⠤⢁⠂⡡ ⠠⡑⢨⠐⠂⡍⣉⠣⠰⢌⠋⠷⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⡤⠶⠚⠩⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢣⣿⡟⣮⣻⣽⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠘⢿⡵⣻⡏⠁⠀⠀⠀⠀⠀⡀⣾⠟⠀⠄⡁⢈⠐⡀⠂⡐⠠ ⠠⠁⠆⡈⢡⠐⡀⢂⠁⠢⢈⡐⢠⠂⣉⠛⡙⠳⠚⠶⢛⠛⣿⠉⠁⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢰⡿⣏⢷⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣶⣷⣾⣿⣿⣶⣶⡆⠀⠛⣷⣽⡇⠀⢠⠀⠀⠈⢰⣾⠟⡆⠈⠀⠠⢀⠐⠠⠐⢀⠂ ⢈⠡⢂⡁⠂⠒⡀⠂⠌⡐⠀⠄⠂⡐⢀⠂⠡⢁⠉⠄⡈⠜⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣡⢸⡿⣽⡿⠁⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⠿⠿⠛⠛⠋⠉⠋⠉⠀⠀⠀⣿⢼⡇⡰⡀⠀⢸⠀⣿⢱⠁⠁⠠⠁⢀⠠⠀⡀⠡⠀⠂ ⡈⠆⡆⢀⠁⠶⢀⠉⠰⢀⢁⠈⠰⡀⠆⡈⠁⠆⠰⢀⠆⡁⢿⣿⣀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⣿⢿⡿⠁⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠿⠿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣾⡿⠆⠁⠀⢸⢀⡿⣸⡀⠈⡀⠆⢀⠰⠀⠰⢀⠈⡀ ⠰⢈⠰⢈⠂⠅⢂⠌⡐⠄⠂⢌⠡⠐⠤⠐⡉⢂⠅⠊⡄⡑⢪⡜⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⣹⣿⣹⠇⠀⠀⠉⠉⠉⠉⠛⠙⠛⠛⠿⢿⣿⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⢶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣽⣿⡟⠀⠀⣸⣾⢧⠏⠁⠐⠀⢈⠠⢀⠂⢁⠂⡐⢠ ⢡⠊⡔⠢⣁⠊⡄⢒⠠⢊⠌⡰⢈⠜⡠⢃⠔⣈⠰⢁⠂⡅⠪⢔⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢠⢳⣿⢧⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣿⡿⠁⠀⢀⢆⣿⠟⡐⠠⢈⠐⠈⠄⡐⢀⠢⠐⠌⠰⡁ ⢢⠑⡌⢒⠠⢃⠜⡠⢃⡌⢢⠑⡌⢒⠰⣈⠒⡄⠣⢌⠒⡌⡑⠆⠼⣧⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⡿⣏⡾⣏⢉⠀⠀⠀⠀⢀⣠⣶⣾⣿⣿⣿⠿⠟⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣤⣤⣶⣾⣿⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣏⠤⢀⣼⡾⡛⠥⠂⢄⠁⠂⠌⡐⠠⠐⡀⠆⡉⠄⢃⠐ ⢂⡓⠬⣁⠓⡌⢢⠑⢢⠘⡄⢣⠘⡄⢣⠄⢣⠌⡱⢈⠒⠤⡑⢌⢣⢻⣎⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⠈⣿⣯⣷⣯⠈⠀⠀⠀⣴⣿⣿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⣀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⣼⡿⢛⡑⢢⠁⠂⠅⢂⠘⡀⠒⠠⢁⠂⡅⢒⡈⠜⡠⠃ ⠣⣌⠱⡄⢣⡘⠡⢎⡡⢚⠌⣆⢓⡘⣆⣍⢆⡚⡄⢃⢎⠱⣌⡆⣹⢮⢹⣿⣆⠂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡘⣿⣾⣿⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢾⣩⣾⠿⣃⠂⠌⠄⡌⢁⢊⡐⢂⠡⠌⡑⣈⠒⢌⠢⠜⢢⢁⢃ ⡱⢈⠖⡘⢤⢣⡙⢦⡱⣋⠞⣬⡳⣛⠴⡌⢣⠱⡌⠣⢌⠛⣋⠔⡉⢆⢂⢛⡿⣶⡵⢀⠀⠀⠀⠀⠀⠀⠈⠀⠃⠛⣿⣾⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠛⠋⠁⠀⠀⠀⣀⡴⠖⠚⠋⠛⠒⠤⣄⠀⣠⡴⢞⣡⣷⢿⡉⠆⠤⠑⢌⠰⣀⠃⡄⢢⠁⢎⡐⢡⠢⡘⢄⡃⠚⣄⠪⣐ ⠥⡋⠴⣉⢦⢣⡝⢦⡓⣭⠚⡥⢛⢌⠲⣈⡑⠦⡘⢡⠊⡜⢠⠊⠅⠆⡌⢂⠆⣹⠟⣷⣮⣁⠀⡀⠀⠀⠀⠀⠀⠀⢾⣷⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣟⡋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠈⢿⣯⣼⣿⠻⠥⠆⠼⠐⡌⡘⢠⠒⡠⢑⡈⢆⠩⢄⠢⣅⢒⡡⢒⠌⣣⢂⠳⠤ ⢢⡙⠦⡱⣈⠧⡘⡥⢚⠤⢋⠴⡉⢆⡱⢠⠘⡄⠱⢂⡱⠈⢆⠩⠘⣄⠢⢁⠎⢠⠙⢢⠙⣽⢿⣿⡐⣇⠀⠀⠀⠀⠸⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠋⠉⠀⠀⠀⠀⠉⠑⠦⡀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣻⢿⣽⡸⢈⠆⡱⢠⢑⢢⡑⢄⠣⢌⠢⣑⢊⡱⣐⢊⠴⣉⠲⢄⡋⢖⡩ ⠦⣑⢣⡕⡎⢶⡙⠴⣉⠦⡉⠦⡑⢎⠔⡡⢊⠔⡉⢆⠰⡉⠔⡨⠡⠐⡌⢂⠌⢂⠌⡐⠢⠄⣿⢿⣿⣄⡀⠄⠀⠀⠀⠑⠛⠻⣿⣿⣷⣤⡀⠠⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡧⠈⢿⣗⠫⠴⣁⢎⣼⡢⣌⠳⣜⢢⠓⣌⠲⡰⢌⢎⠲⣌⠱⣊⠜⣢⠱ ⡚⡬⠳⡜⡭⢲⣉⠓⡌⢢⠙⡄⠣⢌⠢⡑⢌⠢⡑⢌⠢⡑⠌⡡⢁⠣⢈⠆⡘⢄⠊⡔⠡⢊⡘⢒⢂⡻⢿⣶⣤⣐⠂⢀⠀⠠⢀⢻⣿⣿⣿⣷⣦⣤⣄⣤⣤⠤⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣶⣴⣶⣾⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢡⢀⣿⣿⣭⣷⣎⣾⢷⣿⣜⣳⣯⣷⡹⢄⠳⡑⡎⣌⠳⣌⠳⡌⠞⣤⢓ ⡙⣌⠳⣡⢃⠧⡐⡍⣐⠣⡘⠤⡙⢄⠣⡘⢄⠣⡘⢄⠣⡐⢡⠂⠥⢘⢰⠄⡡⢊⠰⠠⡑⢂⠄⣃⠢⢘⡈⢓⠫⣝⠻⠶⠾⡶⣿⣬⠿⠷⠿⠾⠿⠟⢋⠀⢀⢂⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢾⠻⣿⠃⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣲⠏⡀⠀⢛⣿⣶⣿⣿⣿⣿⣿⣏⣿⡟⢯⡜⢪⡱⡱⢚⡔⣣⢌⢳⡘⡭⢢⢍ ⡔⣨⠒⡄⢎⠰⣁⢒⠡⢆⡑⢢⠑⡨⢐⠡⢊⠔⢡⠊⡔⢡⠂⡍⠒⢌⢺⠤⢁⠆⢢⠁⢆⠡⢊⠤⡘⠤⡘⠤⣉⠙⣇⢣⣻⡿⠋⠐⠀⠀⠀⠀⠂⠈⠀⣀⡞⢾⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⣸⡀⢽⣆⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⣿⠀⠁⠀⠀⢉⣿⡯⢟⡳⣍⠳⡼⣾⢙⡲⢜⠣⣕⠣⣇⡚⠴⡩⢆⡣⡕⣣⢎ ⡔⢄⢣⠘⠤⢃⠔⡊⢅⠢⡘⢄⠃⠦⡑⢌⠢⡘⢄⠣⢌⠢⡑⠤⡉⢆⡘⠢⢌⠒⠤⡉⢆⠱⣈⠒⡄⢣⠐⡡⢂⢹⣽⣺⡿⠡⠀⠀⠀⠀⠀⠀⠀⠀⢎⢿⣿⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⡿⢠⣿⣻⠎⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⡿⢠⠐⠀⢠⠂⣼⣷⣋⢖⡩⣓⡒⢦⢋⡴⢋⡵⢊⡳⠴⣉⠧⣓⡱⢜⠲⢥⢚ ⠒⡌⢢⢉⠒⡉⢆⡉⢆⠱⡈⢆⡉⢆⠱⡈⢆⠱⣈⠒⡌⠔⡡⢆⡑⠢⢌⠱⡈⠜⣠⠑⡌⠒⡄⢣⠘⡄⠓⣄⢣⣫⢧⣿⠤⢁⠀⠀⠄⠀⡀⠀⠠⠀⠀⢀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠓⣠⢰⣿⠏⠳⣯⣴⣿⣤⡀⠀⠀⠀⠀⠀⠀⢀⣾⣷⣬⣧⣔⣊⣾⣿⢻⣹⢌⡓⢦⡙⣎⠵⣊⠷⣘⠧⣍⠳⡥⣚⡱⢜⡪⢝⢪⡱ ⢣⠘⡤⢃⠎⣑⠢⠜⡠⢃⠜⡠⠜⡠⢃⠜⣠⠃⢆⡱⠨⠜⣐⠢⢌⡱⢈⢆⠱⡉⣄⠣⢌⡱⢈⠆⣣⢘⢡⣲⣋⢖⣿⡿⠉⠀⠀⠄⠀⠂⢀⠠⠁⢀⠂⠈⢣⢑⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣞⢃⣧⣶⠟⠁⠀⠀⠈⠳⢦⣬⣽⠷⠶⢤⢶⣴⣾⣿⣻⣿⣹⣾⣷⢿⡟⡼⢻⡱⢎⡝⢦⡹⣘⢮⡱⢎⡵⣚⢬⢳⡑⢦⡙⣎⠵⣊⠧⡜ ⢣⢑⢢⢃⠚⣄⠳⢨⡑⡌⢆⠱⡘⢄⡃⢎⠤⡙⠤⢒⡩⠜⣠⠃⢎⡰⢉⢆⡱⠌⡤⠓⣌⠰⣉⠖⣠⢃⡞⣷⣛⣾⠟⠌⠠⢈⠠⠐⠈⡐⠀⠠⠐⠀⠠⠐⣨⠘⣺⠀⠀⠀⠀⠀⠀⣀⣠⣴⡟⣛⣛⣯⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣽⢫⠟⡽⢿⡹⢏⢶⣩⠳⣍⢞⡱⢎⡳⢲⡍⢶⡙⣎⠶⣩⠞⣦⢹⢲⡹⣌⡳⣩⢖⡩ ⠣⡜⡰⢊⡱⢌⠲⣡⠒⡜⡨⢆⡉⢖⡘⣌⠲⣉⠜⣡⠒⡩⢄⣋⠲⠌⡥⢊⡔⢃⠖⡩⢄⠳⡨⠜⣄⠣⣹⢿⣳⣿⠸⢀⠁⠠⠀⠌⠀⠄⡈⠐⠠⠁⢂⢐⣿⢢⡿⠶⠤⠶⠶⠚⠋⠉⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⣿⢌⢧⡛⣜⢣⡝⢎⠶⣡⠟⣜⠮⡕⢯⡜⢧⠺⣥⢛⡬⢳⢥⡛⡴⣋⠶⡳⣌⢳⡱⢎⡵ ⡓⢬⡑⢣⠜⣌⠓⡤⢋⠴⡑⢎⡜⢢⡑⢆⠳⣌⠚⡤⡙⡔⢣⢆⡹⡘⡔⢣⠜⡡⢎⡱⢊⠵⣡⠓⣌⠲⡡⣾⡼⣿⡐⢂⠈⠄⡁⠂⠌⡐⢀⠁⢂⢁⢢⠞⣼⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⣿⢾⢲⡍⣜⢣⠞⣭⢚⡥⣛⡜⣣⡝⢶⡙⣎⠷⣌⡳⣜⢣⢮⡕⡻⣜⠳⣝⣬⢳⡙⣎⠶ ⡝⢢⡙⢦⡙⢤⢋⠴⣋⠖⡩⠖⡌⠧⡜⢪⠱⣌⠳⡌⠵⡸⢡⠎⡴⡑⢎⡱⢊⡕⢎⠴⣋⠖⣡⢋⡔⡣⣕⢺⣽⣿⣧⣦⢈⡐⠠⢁⠂⠰⡀⣎⣤⣧⡶⠟⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣯⣿⡹⡜⣬⢣⠟⣬⢫⢼⡱⣚⠵⣚⠧⡽⣌⠟⣬⢳⡼⢭⡲⣍⢷⣸⣛⡼⢎⡷⣹⠮⣝ ⡍⢳⠘⣦⠙⡆⠋⡖⢡⡞⢡⡏⣼⠑⣮⠑⣧⡌⢳⢸⢱⠑⢫⡜⢲⠉⡞⢰⠋⣼⠘⣦⠃⡞⢡⢳⡜⢱⡎⢹⡜⣾⢻⣿⣧⢲⣥⢪⣬⠓⣴⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣧⡟⣧⡝⣦⠋⣾⢡⡏⣶⡍⢳⢫⣵⠋⣷⡎⣿⡜⣧⢻⣼⢱⡏⣾⢱⣮⡝⣯⡞⣵⢻⡜ ⣝⢪⡕⡎⡵⢪⡝⣘⠧⡜⣣⠜⣦⡙⢆⢯⡰⡙⢦⢣⢣⢛⢦⡙⢦⢛⣌⢳⢪⢥⡛⡴⢫⡜⢭⠲⣍⠳⡜⣧⡝⣎⡳⢿⣻⣷⣾⢿⣾⡷⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⣿⣽⣟⡳⡵⣊⢿⡰⢏⡞⣥⢻⡭⣞⣥⣛⢶⡹⢶⣙⢮⡳⣎⢷⡹⣎⠷⣎⢷⡹⣞⡵⣫⢽ ⣎⠳⣜⡱⢎⡳⣸⠱⣎⠵⣃⠯⡴⣙⢎⠶⣱⠹⣌⢧⢋⡞⢦⡙⢮⡱⢪⡕⣫⢖⡹⣜⢣⠞⣥⢛⡬⢳⡹⡜⣜⢦⡝⣳⡜⢶⡹⣎⢷⡹⣧⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⡞⣵⢫⢶⡹⢶⣩⠟⣼⣱⢳⡞⢶⡺⣜⢧⣛⢧⣛⢮⣳⠽⣎⡷⣽⣫⡽⣞⡽⢮⢷⣫⣟ ⣎⠳⣌⠳⣍⠶⣡⡛⡴⢫⡜⣣⠵⣩⢎⡳⢥⡛⡬⢎⡳⣜⢣⡝⣣⡝⣣⢞⡱⢮⡱⢎⡧⣛⡴⣫⡜⣧⢳⡝⣞⡼⣚⡵⣚⢧⡻⣜⢧⡟⣯⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣝⢮⡳⣏⡽⣲⢧⣛⠶⣭⢳⡝⣧⢻⡜⣧⢯⡯⡽⣞⣳⣻⢽⣞⡷⣽⣳⢯⣻⢯⣷⣛⡾ ⣎⠳⣍⡳⢎⡳⢥⡛⣜⣣⠞⣥⡛⡴⢫⣜⢣⡽⣘⢧⠳⣬⠳⣜⠵⣺⡱⢮⡝⣶⡹⣝⢶⣹⣚⡥⢿⡜⣧⢻⡜⣾⡱⢯⡝⣾⡱⢯⣞⡽⣭⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣿⢮⢷⡹⣎⢷⡹⢮⣝⡻⣜⣧⢟⡞⣧⣟⢾⣣⣟⣷⣫⢷⢯⣟⡾⣽⣳⢯⡿⣭⡷⣯⢿⣽ ⡮⡝⡼⣱⢫⡝⢮⣙⢦⢧⠻⣴⡹⣱⢏⡼⣓⡞⡵⣎⢟⣲⠻⣜⣫⢵⣫⢷⡹⢶⣹⢮⡳⢧⣻⢼⣻⠼⣏⣷⢻⣖⡟⣯⣽⢳⣻⡽⢮⡿⣭⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⣿⣿⣏⡷⣛⣮⢟⣽⡺⣝⣾⣹⠾⣽⣳⣞⣯⢷⣻⢾⡽⣯⣟⡾⣽⣳⣯⢿⣽⢷⣻⣽⣻⣾ ⢷⡹⣜⣣⠷⣹⢣⡝⣮⠞⣝⢦⣝⣣⢏⡾⣱⢻⡼⣹⢎⡷⣫⢷⣹⣎⢷⡮⣟⡽⣮⢷⣻⡽⣭⢷⡯⢿⣝⡾⣏⡾⣽⣳⣭⣟⣧⢿⣻⣽⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢓⣿⣿⣻⣞⡽⣞⣻⢮⣟⡽⣶⢯⣟⡷⣽⢾⡽⣯⣟⣯⣟⣷⢯⣿⢯⣷⡿⣯⣟⡿⣯⣷⣿⣽ ⡷⢳⢮⡵⢫⡗⣯⢞⡵⣻⢎⡷⢮⣳⢏⡾⣭⡗⣯⡽⢾⣱⡟⣮⠷⣞⣯⢾⡽⢯⡷⣯⢷⣻⡽⣯⣽⣻⢾⡽⣏⣿⣳⡽⣞⣧⣟⣯⣿⣿⣿⣿⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣸⣧⡄⡄⢀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣤⣿⣿⢯⣷⢾⡽⣯⣟⡿⣾⡽⣯⢿⣾⣽⣯⢿⣻⣷⢿⣻⣾⢯⣿⣟⣿⣯⣿⣿⣻⣿⣿⣽⣾⣿ ⡿⣹⢮⣽⢳⣛⣮⢿⣹⢧⡿⣹⢯⡷⣯⣟⣧⣟⣷⣻⢯⣷⣻⣽⣻⡽⣞⣯⣟⣯⢿⡽⣯⢷⣻⢷⣯⣟⣯⢿⡽⣞⣷⣻⡽⣾⡽⣾⣿⣿⣿⣿⣅⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣿⣿⣿⣿⣿⣾⣵⣶⣴⣢⣶⣴⣾⣿⣿⡿⣽⡿⣾⢿⣽⡷⣯⣿⣷⡿⣟⣿⣾⣷⡿⣿⣿⣽⣿⡿⣿⣿⡿⣿⣿⣽⣷⣿⣿⣯⣿⣿⣿⣿ ⣿⡽⣯⣞⣯⣟⡾⣯⣟⣯⢿⡽⣯⢷⣟⣾⣳⣟⣾⣽⣻⣞⣷⢯⣷⣟⡿⣾⣽⡾⣿⣽⣟⡿⣯⣿⡾⣽⣾⣟⣿⣽⡾⣯⣿⢷⡿⣟⣾⡿⣿⣿⣿⣮⡐⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⣿⣿⣿⣿⣿⢿⣿⣿⣷⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣛⣙⣓⡛⡞⣛⣛⣓⡛⣞⣛⣛⣛⣛⣛⣛⣛⣛⡳⣛⣛⣛⣛⣛⣛⢞⣛⣛⣳⢛⣛⣛⣞⣛⣛⣳⣛⣛⡳⣛⣛⣞⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣻⠑⣦⠳⣒⢒⠲⣐⣒⠒⢦⠒⣤⣉⢞⣛⣟⣻⣛⣟⣻⢛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⡛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢸⣿⣟⣿⣻⣟⣿⣻⣟⣿⣻⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠄⠀⠂⠄⠁⠂⠀⠀⠀⠐⣿⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠀⡀⠂⠄⠈⠀⢁⡐⣀⡀⠸⣷⣟⣾⣽⣳⣯⡷⣟⣾⢷⣻⣽⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⢿⣻⢯⣟⡿⣷⣦⠀⠀⠀⠀⠀⠀⠠⠁⠰⠀⠈⠀⠀⠀⠀⠀⠀ ⠀⠀⠃⠄⡀⢂⠦⢤⡾⣙⢦⡝⢦⡻⣿⣞⡷⣯⡷⣟⣯⣟⣯⢿⡾⣽⣧⠀⠀⠀⠀⠁⠀⠀⠠⣴⣿⢿⣯⣟⣯⡿⣯⢿⣽⣻⣷⡄⠀⠀⠀⠄⠀⠀⠠⠀⠀⠀⠢⠔⠄⠀⠀ ⠀⠀⠀⠀⠄⠂⠅⠘⣷⡹⢦⡹⢆⡳⡹⢯⣿⣳⢿⣯⣟⡾⣯⡿⣽⢯⣿⣆⠀⠀⢀⣌⣀⠀⣸⣿⢯⣿⣾⡽⣾⣽⣻⣟⡾⣷⣻⣿⠀⠀⠀⠁⢃⡇⡁⠀⠀⠀⠸⠡⠨⠈⠀ ⠈⠀⠒⠀⡀⠀⠑⡄⠑⠻⣖⡹⣎⠵⣙⡼⠛⣿⣻⢾⣽⣻⣷⡿⢯⣿⣞⣿⡄⠠⣿⢯⣟⣿⡿⣯⡿⣽⣷⣟⡿⣞⣷⢯⣿⣳⣟⣾⡇⡄⠚⠉⠀⠁⡉⠑⢦⡐⠁⣀⣀⠀⣀ ⠀⠀⢠⠀⡀⠀⠂⠀⠀⠠⠀⠉⠊⠝⠁⠀⠀⣈⠿⠿⢾⠏⠀⠀⠀⠘⣿⣞⣿⣴⣿⣿⣾⣿⡽⣷⣻⢯⣿⣞⡿⣽⣾⣻⢷⣯⣟⣾⣗⠠⣀⠦⣙⠶⣩⢻⢤⡳⣭⠳⣭⢻⡜ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⢀⠤⢄⡀⠀⠀⣿⡿⣼⣟⣧⢿⡼⣧⣿⣻⣟⡿⣿⣟⡿⣿⣼⣻⢿⣼⣻⣼⡇⢧⣘⢧⢻⢼⢣⡟⣜⠧⣇⢿⡠⢇⠿ ⠀⠀⠀⠠⠀⣠⠤⢤⠀⣀⡀⡄⠀⠀⠀⠀⢃⠀⠀⢰⠁⠀⠀⠈⡄⠈⠙⣿⢷⣻⣾⣻⣽⢷⣯⢷⣻⣽⢯⣿⢿⣳⣯⣟⡿⣾⣽⡿⠜⣦⢹⡎⢯⢞⣣⡝⣮⢻⡜⣧⠻⣭⢛ ⠀⠀⠀⠀⠂⣧⣋⡌⢳⢡⢋⣤⠀⠀⠀⠀⠀⢱⡄⠘⢄⡀⢀⡰⠃⠀⠀⢸⣿⣳⣯⢷⣯⢿⣞⣿⣻⢾⣻⡽⣟⡿⣷⢿⣿⡓⠋⠀⠙⡦⣛⢼⢫⡞⣥⢻⡜⣧⡝⣎⢷⣣⢯ ⠀⠀⠀⠀⠀⠈⠳⢜⡣⢏⠖⠡⠁⡂⠀⠀⠀⣸⡀⠀⠀⠀⢀⣦⣤⣤⣴⣿⣳⣟⣾⢯⣟⡿⣞⣷⣻⢯⡿⣽⣻⣽⢯⣿⣞⣿⣄⠀⠀⠀⠜⣮⢳⡝⣮⢳⣝⡲⣽⡸⣎⠷⡫ ⠀⠀⠀⢀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⣰⣿⣷⢦⣤⣴⡿⣿⡽⣞⣷⢯⣷⣻⡽⣯⢿⣽⣻⢷⣻⢿⣽⣻⢷⣯⢿⡾⣽⢯⣿⡀⠀⠀⠀⠉⢷⡻⣵⣏⠾⣵⣣⠿⠘⠋⠀ ⠀⠀⠜⠀⢆⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣶⣿⣟⡾⣯⡷⣯⣟⡷⣟⣿⠾⠛⠓⠛⠛⠛⠛⠚⠛⠻⢽⣟⣾⡽⣟⣾⢿⡽⣯⣟⡿⡇⡀⠀⠀⠀⠀⠙⢳⠞⠛⠉⠀⠀⠀⠀⠀ ⠀⠈⢂⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⡷⣯⣟⡷⣿⣽⡾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⣯⣟⣯⢿⣳⡿⣽⡗⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⣀⣀⠀ ⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣳⢿⣽⡷⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣯⣟⣯⢿⣽⡇⠃⠀⠀⠀⡇⡀⠀⠀⠀⠘⣿⣻⣟⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣽⣻⡾⠀⠀⢀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⢹⣟⣾⢯⣿⠁⠀⠀⠀⠀⠃⢣⠀⠀⠀⠀⠈⠻⠊⠁⠀ ⠀⠀⠀⠀⠀⡄⠀⠁⠀⢳⠀⠀⠀⠀⠀⠐⢻⣷⣟⣇⢀⡻⠭⠭⠭⡛⠀⠀⠀⠀⠠⣀⡄⠀⠀⠀⠰⢟⠩⠭⠽⡁⢸⡿⣽⣿⠃⠀⠀⠀⠀⠈⡆⡜⠀⠀⠀⠀⠀⠈⠂⠀⠀ ⠀⠀⠀⠀⠈⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⡀⡐⠝⣿⣻⣆⠄⠒⡐⠴⠃⠀⠀⠀⠀⢄⠀⡰⠀⠀⠀⠀⠧⠂⡓⠀⣤⣿⣿⡝⠁⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⢒⣠⣀⡝⠻⢦⣄⠀⠀⠀⠀⢀⣀⠀⠀⢀⡠⠤⢄⡀⠀⠀⠀⢀⣴⡾⠟⠁⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⠌⠐⠀⠘⠻⡿⠇⠀⠀⣼⣿⢿⡟⠉⠀⠀⠉⡖⠁⠀⠀⠀⠘⢶⣿⢿⡿⣧⠀⠀⠀⠀⠀⠁⠈⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⠀⠀⠀⠀⠈⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣸⣿⣽⣻⠁⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢸⡿⣯⣟⡿⣧⠡⡀⠀⠀⠀⠀⠀⢀⠤⢀⠀⠀⢀⣀⣤⣀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⣿⣿⠚⠛⡄⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠘⠛⠛⠛⣿⣿⡇⠐⠀⠀⠀⠀⠐⢠⠒⣮⢻⣭⢳⡝⣶⢹⢻⡄⠀⠀⠀ ⠀⠀⠈⠀⠆⠁⠀⠀⠀⠀⠄⠀⠄⠀⠀⠀⡀⢤⣀⠈⠸⢿⣿⣄⠀⠀⠀⠀⠀⡠⠉⠢⡀⠀⠀⠀⠀⠀⢀⠔⢩⡛⠁⠀⠀⠀⠀⠄⢣⡹⢞⡭⣞⡽⣎⠷⣭⣛⣮⠃⠀⠀⠀ ⠀⠀⠠⠃⡆⠀⠀⠀⣠⠞⣭⢳⡹⢲⡰⣲⡔⢦⡀⠣⡄⠀⠀⡏⠑⠂⠒⠂⠉⠀⠀⠀⠀⠉⠐⠒⠒⠈⠁⠀⠰⡇⠀⠀⠀⠐⠄⢀⠘⢵⣫⢞⡵⣺⢭⡻⣵⣫⠎⠀⠀⠀⠀ ⠀⠐⠀⠁⠀⠀⠀⠀⣏⡞⢦⢣⡝⣣⢳⢇⣯⢳⡝⡄⠃⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⢀⠠⠡⠀⠄⡑⢻⣞⡷⣫⠗⠋⠁⠄⠀⠀⠀⠀ ⠀⠀⡀⢀⠀⠒⠁⠀⠳⣚⢥⠳⡜⣥⢛⣎⠞⡵⢮⡵⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠁⠀⠀⠀⠈⠄⠈⡉⠁⠀⠀⠀⠀⠀⠀⢠⣜ ⠀⠀⠈⠠⠃⠀⠀⠀⠀⠈⠛⢧⡝⢦⢫⣜⣫⡽⠊⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠰⣯ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠧⠮⠃⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⢀⡀⡀⠀⠀⠀⠀⠀⠀⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠃⠀⠀⠀⠀⠀⠀⠀⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⣸⠀⠇⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛ ⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛ ⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛ ⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬜ ⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬜ ⬜⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜ ⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜ ⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜ ⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜ ⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🟪🟪⬛🟪🟪⬛⬜ ⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🟪🟪🟪🟪🟪🟪🟪⬜ ⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🟪🟪🟪⬜🟪🟪🟪⬜ ⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🟪⬜⬜⬜🟪⬜⬜ ⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🟪🟪🟪⬜🟪🟪🟪⬜ ⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🟪🟪🟪🟪🟪🟪🟪⬜ ⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🟪🟪⬛🟪🟪⬛⬜ ⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜ ⬛⬛⬛⬛⬛⬛⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛ ⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛ ⬛⬛⬛⬛⬜⬛⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛ ⬛⬛⬛⬛⬜⬜⬛⬛⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛ ⬛⬛⬛⬛⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛ ⬛⬛⬛⬛⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬛⬛⬛⬛ ⬜⬛⬛⬛⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬛⬜⬜⬛⬛⬜⬜⬜⬛⬛⬛⬜ ⬜⬛⬛⬛⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬛🟪🟪⬛⬛⬛⬜ ⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟪⬛⬛⬛⬜⬜ ⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬛🟪🟪⬛⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬛🟪⬛⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜
🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦 🟦🟦⬜⬜⬜🟦🟦🟦🟦🟦🟦🟦⬜⬜⬜🟦🟦 🟦🟦⬜⬜🟪🟪⬜⬜⬜⬜⬜⬜⬜⬜⬜🟦🟦 🟦🟦🟪🟪🟪🟪⬜⬜⬜⬜⬜⬜⬜⬜⬜🟦🟦 🟦🟦🟪🟪⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟦🟦 🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟦 🟦⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛🟦 🟦⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜🟦 🟦⬛⬛⬜⬛⬜⬜⬜🟨⬜⬜⬜⬛⬜⬛⬛🟦 🟦🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟦🟦 🟦🟦⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟦🟦 🟦🟦🟦🟦🟦⬜🟪🟨🟨🟨🟪⬜🟦🟦🟦🟦🟦 🟦🟦🟦🟦⬜🟪🟪🟪🟪🟪🟪🟪⬜🟦🟦🟦🟦 🟦🟦🟦⬜⬜🟪🟪🟪🟪🟪🟪🟪⬜⬜🟦🟦🟦 🟦🟦🟦⬜⬜🟪🟪🟪🟪🟪🟪🟪⬜⬜🟦🟦🟦 🟦🟦🟦🟦🟦🟪🟪🟪🟪🟪🟪🟪🟦🟦🟦🟦🟦 🟦🟦🟦🟦🟦🟦⬜⬜🟦⬜⬜🟦🟦🟦🟦🟦🟦 🟦🟦🟦🟦🟦🟦⬜⬜🟦⬜⬜🟦🟦🟦🟦🟦🟦 🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦
⠀⠀⠀⠀⠀⠀⣰⠋⠉⠀⠀⠈⠉⠑⠲⣌⣧⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⡀⠀⠀ ⢠⣖⣶⣤⣀⣀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⡀⠀⢀⣀⣀⣀⣠⣇⠙⠗⡀⡀ ⠀⠈⣿⣿⢛⢻⣿⣄⠀⠀⠀⠀⠀⢀⡀⣀⣰⠴⠛⠉⠉⠀⠀⠀⠀⠈⠙⠲⣄⠉ ⠀⠀⢿⣿⠨⡇⡝⢿⠳⣦⣄⣀⣀⣏⡭⣯⠀⠀⠀⡀⠤⠒⠊⠉⠁⢈⡽⠐⢌⢣ ⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣏⠠⢿⡟⠛⠋⡠⠐⠁⠀⠀⠀⠀⠀⠴⠯⠤⢔⣐⠹ ⣄⠀⠀⠈⠙⣻⠟⣿⢻⣹⣿⠷⣾⠁⢀⠌⠀⢀⣀⠀⠀⠲⣛⣀⡀⠀⠀⠀⠀⠀ ⢿⣆⠀⣠⣾⠷⠆⠀⣨⣿⠏⠀⢧⠀⡈⠒⠛⣹⠏⠀⢠⣮⢥⡼⠉⠉⠲⡀⠀⢰ ⢸⢿⣾⢫⠍⣩⣿⠿⠟⠛⠀⠀⡿⡄⢡⢘⡹⠁⠀⠀⡞⠀⠀⢳⠀⠀⠀⢹⣴⡃ ⣬⣿⣿⡗⠋⠁⠀⠀⠀⠀⡴⠎⠀⠘⢶⣣⡀⠀⠀⠀⡇⠀⠀⠈⣧⠀⠀⠀⢧⡙ ⣿⣿⣿⡇⠲⢾⣿⣦⠀⠀⠀⢀⣠⢃⣠⠞⠻⢗⠒⢺⡇⠀⠀⢸⡏⠣⠀⠀⠀⢱ ⠀⢹⣿⣇⠀⠀⠙⠛⠁⠀⠉⠉⠀⢯⡀⢲⣭⢿⡁⣲⡇⠀⠀⠠⠇⠀⠀⠀⠀⢸ ⠀⠈⢷⣿⣆⠀⣎⡠⠀⣀⣀⣀⠀⢀⠝⠉⠀⠀⡹⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⢀⣀⣀⡙⢻⣷⣶⣟⣿⠹⣿⣿⡟⠁⠀⠀⢀⡴⡣⠓⠁⠀⠀⠀⠀⠀⠀⠀⢠⠃
⠀⠀⢀⣠⠤⣄⠀⠀⠀⠀⠀⠀⠀⢀⡴⠊⠉⠙⡄⠀⠀⠀ ⠀⡴⠏⠀⠀⢸⡵⢤⠖⢢⡀⠀⣰⠋⠀⠀⠀⢀⡇⠀⠀⠀ ⢸⠀⠀⣠⠆⠘⡦⠨⠕⢘⡗⠤⠃⠀⠀⠀⠀⡼⠀⠀⠀⠀ ⠘⠢⠚⠙⢤⠀⠓⢒⣋⡉⣀⣀⣀⣀⠀⠀⠼⣁⠀⠀⠀⠀ ⠀⠀⢀⡴⠋⡴⠊⢡⡄⠀⠀⠀⠀⣼⡙⢦⡀⠀⢱⠀⠀⠀ ⠀⠀⡎⠀⣞⡠⠤⢾⠇⠀⣀⡀⠀⠻⠁⠀⢹⠀⣸⠁⠀⠀ ⠀⠘⣇⠄⡿⡀⠀⢨⠃⠀⠟⠀⠀⠈⠈⢀⣼⡴⠋⠀⠀⠀ ⠀⠀⠈⠙⠻⣳⣀⠀⠳⡤⠤⣤⠤⠤⠖⠋⡹⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⠋⠹⣆⠀⠈⢉⡏⠢⣀⠀⡰⠱⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⢙⢆⣠⠞⠒⠒⠛⢦⡀⠈⣭⠁⠀⠹⣤⡀⠀⢠ ⠀⠀⠀⠀⠘⠂⠀⠀⠀⠀⠀⠀⠈⠉⢇⣀⣀⠤⠻⠤⠴⠊
⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⣠⠔⠋⠁⠈⠳⡄⠠⠚⠤⣤⠈⠀⣼⠀⠠⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠰⣄⠀⠀⠀⡇⠀⠀⠀⠀⣠⠃⠀⠀⠀⢸⠖⠒⠛⠀⠉⠉⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡽⠉⠈⠑⠒⠒⢊⠁⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠈⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠔ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⢸⠦⣄⠀⠤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠑⠦⣀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⢊⡵⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠓⠢⠤⠤⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠒⠒⠲⠶⠮⠭⠐⠋⠁⠀⡴ ⠀⠀⠀⠀⢀⠀⠀⢀⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀ ⠀⠀⠀⢀⡿⠂⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀ ⠀⢀⢰⡋⠀⠰⠏⠀⠀⠀⠀⠀⢀⣀⠤⠄⠒⠒⠀⠀⠀⠀⠀⠐⠒⠢⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀ ⠈⠐⠚⠁⠀⣾⠀⠀⠀⠀⡠⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀ ⣀⠀⠠⡦⠀⢸⠀⠀⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀ ⠉⠓⠤⢤⡤⢻⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⠀⠀⢸⡀⠈⣆⡞⢾⣄⠀⠀⢀⣴⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀ ⠀⢀⡀⠀⣹⠆⠸⣧⠀⠙⠛⠛⠛⠁⠀⠀⠀⣴⣶⣦⠀⠀⠀⠀⠀⠀⠀⢠⣤⡀⠀⠀⠀⠀⠀⡀⠀⢣⠀⠀⠀⠀⠀⠀⢀⠀⠀ ⠀⠀⢙⡾⣷⠶⣴⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢶⣤⣤⣶⠾⠛⠀⢸⡄⠀⠀⠀⠀⣠⠃⠀⠀ ⠀⡠⠋⠀⠘⢄⣀⣩⣬⣤⣤⣤⣤⣤⣬⣭⣉⣀⡒⠢⠤⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⢀⣾⠁⠀⠀⠀ ⠠⠃⠀⠀⠀⠈⡇⠉⠁⠀⠀⠀⠀⠀⠀⠈⠉⠁⠛⠛⠶⠶⣤⣍⣒⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⢀⣤⡾⠋⡼⠀⠀⠀⠀ ⢠⡆⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⠏⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣳⠾⠿⠍⠉⢉⠀⠀⠀⠀⠀ ⠀⠘⢆⠀⠀⢴⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣀⣀⣀⣀⣀⣀⣀⡤⠴⠛⣿⡗⢀⣤⣄⣠⠂⠀⠀⠀⠀⠀ ⠀⠀⠈⢦⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⢀⡀⠀⠚⠋⠁⠀⡠⠚⢷⠿⠍⠛⠚⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⠑⢄⣸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⡀⠉⠁⠀⠀⣀⡠⠔⠋⠀⠀⠀⠣⡀⠈⢹⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢘⣦⡤⢧⡸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠎⠀⠓⠒⠒⠊⠻⡀⠀⠀⠀⠀⠀⠀⠀⠙⢏⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠉⠉⠀⠈⠉⢿⡏⢲⡤⠤⢤⠤⣄⣀⣀⡀⠀⣀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠉⠢⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢙⡏⠀⠀⠘⠀⠀⠀⠀⠉⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡗⢄⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⡟⠛⠛⠛⠓⠒⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⢳⡀⠀⠀⠀⠀⠀⠀⣸⠆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢀⡇⠈⠲⠤⠔⠒⠐⠊⡁⠀⠀⠀⠀
⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⡀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀ ⠀⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀ ⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⢸⠀⠀⢀⡤⠖⠒⠒⠢⢄⡀⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⡠⠖⠉⠙⢧⡀⠀⠀⢸⠀⡰⢃⡴⠛⠲⡤⠖⢦⣹⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⡆⠀⣠⠴⠒⠒⢾⡃⠀⠀⠀⠀⣻⠚⠙⠉⠀⡇⠸⡄⠀⠀⠀⠀⢠⢿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢱⣰⠃⠀⠀⠀⢀⠔⠒⠢⡀⠠⢧⡀⠀⠀⠀⢳⡀⠙⢦⡀⢀⣴⠏⣸⡁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⣧⡀⢀⠀⡏⠀⠀⠀⣹⠀⠀⢹⡄⠀⠀⠀⠙⠢⢤⣈⣩⠤⠞⠁⠙⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⢈⡿⢻⠟⠀⠘⠢⠤⠔⠁⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠙⣄⠀⠀ ⠀⠀⠀⠀⢠⠞⠁⢸⡀⠀⠀⠀⠀⣸⠖⠒⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀ ⠀⠀⠀⢠⠏⠀⠀⠀⠳⢤⣀⣀⠴⠋⠀⠀⠀⠀⠀⠀⢀⣀⡠⠤⠤⠤⠤⢤⣀⠀⠀⠀⠀⠀⢹⡄ ⠀⠀⢀⠏⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢀⡠⠖⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⢤⡀⠀⠀⣧ ⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⢻ ⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠈⣇⢸ ⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⠋⠀⠀⠀⣀⣠⣤⣄⡀⠀⠀⠀⠀⠀⠀⡀⠀⠾⠛⠋⠛⠀⢹⡟ ⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⢠⡾⠋⠁⠀⠈⠉⠀⠀⠀⠀⠀⠿⠋⠀⠀⠀⠀⠀⠀⣽⠃ ⠀⠀⠈⢷⠄⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠦⠤⠴⠊⠀⠀⠀⠀⠀⣰⡋⠀ ⠀⠀⠀⠈⢳⡄⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠞⠁⠀⠀ ⠀⠀⠀⠀⠀⠙⢷⣄⡀⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠚⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⠞⠁⠉⠓⠒⠦⠬⢷⣦⣄⣀⣠⠤⢤⣤⣄⣀⣀⡤⠴⠖⠛⠳⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢈⡷⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢯⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣠⠋⠀⠀⠉⠓⠒⠒⠒⠒⠒⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀ ⣀⣰⡹⠃⢀⣀⣀⣀⣀⣀⣀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⣀⣀⡀⠀⠀⣀⣀⣸⡇⠀⠀⠀⠀
⡿⠿⠟⠿⠛⠛⠻⢿⣿⢇⡚⣴⣿⡿⠹⣿⣿⡷⢸⣿⣿⣿⣏⠰⣿⣿⣿⡇⠀⠄⡉⢀⠀⣤⣌⣛⢿⣶⣤⠹⣿⡄⠀⠀⠀⠀⠙⣿⣿⣿⣿⣴⣿⠏⠁⡄⠠⢀⠄⣀⠢⠐⣀⠂⡄⠤⡀⢄⣠⠀⢄⠂⢄⡐⠠⢄⠠⠀⢄⠠⢠⠐⡈⢅⠢⢐⠠⢠⠈⣿⣯⣵⠶⢾⣛⣫⣭⡶⠶⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣶⠞⣛⣫⣭⡶⠶⣛⣋⣭⡵⠶⢛⣛⣭⣿⣿⣿⢡⠞⡰⢣⠹⣿⣿⣯⣭⡶⠶⣛⣻⣿⡷⠿⠋⠈⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⢀ ⡅⠀⠀⠀⠀⠀⢀⣾⣿⣶⣷⣾⢿⣶⣷⣏⣡⣶⣷⣌⣿⣿⣿⣷⡉⠛⠋⢁⠈⠠⠐⠠⠈⠙⠛⠻⣷⡌⠻⣷⣿⡇⠀⠀⠀⠀⠀⠿⣿⣿⣿⣟⠁⠄⠃⠤⠑⢂⠐⠠⢂⠡⢀⠂⡐⠠⠁⣼⣿⠁⢢⠈⠄⢠⠁⠂⣴⣧⠂⢄⡁⢂⠌⣀⢂⡐⢂⡐⢂⠸⣿⡶⠟⣛⣩⣭⡶⠾⢻⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣩⣭⡶⠾⢛⣋⣭⣴⠶⠟⣛⣩⣼⣿⣿⣇⣣⣮⣵⣷⣷⣿⣿⣿⣷⣾⣿⣿⣿⣇⠀⠀⠀⠀⠸⣿⣿⣿⣄⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠆⠀⠀⠀⠀⠀⣾⣿⣷⣿⠿⢟⣘⠿⠿⢏⡸⢿⡿⢋⡹⢿⠿⢻⣿⡄⠐⢀⠂⠄⡐⢀⠂⡐⢀⠂⢹⣿⡀⠘⢿⣧⡀⠀⠀⠀⠀⢀⣾⣿⣿⡿⠇⡘⠠⢂⢡⣾⡷⢀⠂⡐⠂⠤⢁⠃⣸⣿⠇⡈⠆⣈⠘⠠⠌⠡⢸⣿⠀⠂⠌⠄⠊⠄⠡⡈⠄⡐⠂⠄⠹⣿⣟⣯⣽⡷⠾⣛⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣯⡶⠾⣛⣻⣭⣷⠶⢟⣛⣯⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡃⠀⠀⠀⠀⣸⡿⢈⡙⠿⣷⣿⣿⡷⢸⣿⣿⡧⣼⣿⣿⡆⣾⣿⣿⣷⣶⣤⡀⠂⠄⠠⢀⠐⠀⢂⠈⠁⠠⠀⠄⠙⣿⣦⣀⠀⠀⣼⣟⠈⡁⣶⣇⠠⠁⠆⡈⢿⣧⣼⡿⠂⣉⠰⢀⣾⣿⠃⠰⢀⠜⠠⠈⠔⡈⠡⢸⣿⠠⠡⡈⠄⠃⠌⠡⢐⠠⣁⣬⣶⣷⠿⠿⠿⠷⣾⣿⣋⣿⣇⠀⠀⣴⣾⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⣽⣷⣾⣛⣋⣭⣵⠶⢟⣛⣩⣥⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⣠⣾⡟⠁⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡅⠀⠀⠀⢀⣿⠇⠤⠐⢠⠈⡙⠿⣷⣮⡛⢛⣥⣼⡛⢛⣥⣜⠛⣛⣤⣝⠻⣿⣆⠈⠄⡀⠂⡁⢀⠈⡀⢁⠈⡀⠂⠈⠻⣿⣷⣶⣿⡿⣷⣶⣿⠏⠠⠁⡌⢐⠈⣉⠉⠤⢁⠄⢢⣽⡿⠁⠌⡐⡈⠄⠡⠘⢠⢈⡁⢺⣿⢀⠡⢐⡈⢡⠊⠁⣦⣾⠿⠋⠁⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⡀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢠⣿⣟⡻⢿⣿⣷⡶⢟⣛⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠆⠀⠀⠀⢸⣿⠂⡅⠌⣀⠒⡀⢂⠄⠛⢿⣿⣿⣿⡇⢿⣿⣿⠇⣿⣿⣿⠂⣿⣿⣦⣤⣄⡁⠐⡀⠂⢀⠂⣠⣄⣄⠁⠄⠈⢿⣿⣿⡅⠠⢄⠠⠌⡐⠡⠐⣈⠐⠠⠌⠒⡈⢰⣾⡿⠁⠌⡐⢀⠒⡈⠐⣁⠢⢀⠂⣹⣿⠀⣂⠡⠐⢂⠘⣼⡿⠃⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡈⢿⣷⣄⠻⣿⣿⣿⠿⠁⠀⠀⠀⠀⢀⣰⣿⠿⡼⣙⢧⡏⣿⣿⣟⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠁⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏ ⡇⠀⠀⠀⢸⣿⣤⣴⣀⠄⢢⠐⡈⠄⠃⠌⠹⣿⣷⣾⣶⡍⣱⣶⣮⡉⣵⣶⣯⢛⣽⣿⣿⢿⣦⠀⠁⠂⢰⣿⣿⣿⣷⠈⠠⠀⢿⣿⣧⠐⢂⡐⠤⢀⠡⠌⠠⠈⠔⠨⠄⡑⣼⣿⠁⠌⡐⠠⢁⠂⠤⠁⢄⠒⠠⢁⣿⡇⠢⢀⠆⡉⠄⢺⣿⠁⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⡄⢻⣿⣷⣤⣌⣀⠀⠀⠀⢀⣀⣴⣾⡿⣏⢟⣱⣏⣮⠵⡮⣝⣿⣿⣿⣿⣿⣿⡿⠟⠋⠙⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⡿⠛⢿⣤ ⣷⣶⣤⣀⣼⡿⣩⠛⣿⡷⢀⠂⠔⡈⢡⠘⢠⠈⣿⣿⣿⣃⣿⣿⣿⡋⢿⣿⠿⡉⢿⣿⠿⠘⣿⣷⣶⣶⣮⣿⠿⠟⠃⠠⢁⠈⠸⣿⣿⣦⠂⡐⡀⠆⡐⢈⠡⠡⠌⠰⠈⠄⣿⣧⢈⠐⠠⢁⠂⠌⠠⠉⡄⠌⠡⣸⣿⠡⡁⢊⠐⡠⠁⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⠇⠸⣿⣏⣟⡻⢿⢿⡿⣿⠿⣟⢯⡳⣝⢮⣿⣿⣿⣿⣿⣷⢭⢺⣿⣿⣿⣿⣯⣾⣿⣿⡆⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠈⠻⣿⣿⣿⣯⠀⠀⠀⣉ ⣿⣿⣿⣿⣿⣇⡋⠖⣿⡷⠈⠰⢀⠡⠊⡐⠈⡄⠙⠿⠿⠿⠿⠿⠿⢷⣾⣭⣴⣷⣮⢉⣶⣶⣿⢻⣿⣿⣟⢿⣦⡀⠂⡀⠈⠐⡀⠙⢻⣿⣦⣁⠃⢄⣡⣬⣤⣦⡐⠠⠒⠠⠹⣿⣌⠐⠂⢌⡐⠄⠂⠤⢁⡐⢠⣿⡏⠠⠡⠘⢠⠁⠂⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠻⠿⠿⠋⠀⢠⣿⡯⣝⡳⢞⡼⣣⡝⢶⡹⢎⡷⣹⢾⣿⣿⣿⣿⣿⣿⡜⣮⣿⣿⣿⣿⡍⢿⣿⡿⠃⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⢀⣠⣿⣿⣿⣿⠀⢠⣴⡿ ⣿⣿⣿⣿⣿⣄⠛⣼⣿⠇⡈⠁⠆⠠⢁⠰⠁⡄⢃⡐⢂⠰⢀⠂⠔⢂⠈⢻⣿⣿⠟⣘⠿⣿⠟⡘⢿⡿⢏⡸⣿⣿⣾⠿⣿⣷⣄⣐⣼⣿⡿⣿⣾⡿⠛⢋⠙⢋⠁⡘⠠⠃⡄⠙⠿⣿⣶⣤⣐⡈⢁⠂⣄⣴⣿⠟⡀⢃⠡⠉⠄⠌⠡⠸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⢳⡭⣝⣫⢖⠧⣝⣣⡝⣏⢶⡹⣎⢿⣿⣿⣿⡿⣟⡼⣱⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⠿⣻⣵⣿⣿⠏⠀⠹⣿⣿ ⡟⠛⢋⠁⠻⢿⣷⣿⠟⠀⠄⡑⠨⠐⣀⠢⠁⡔⠠⢐⠠⢂⠂⠌⠒⡈⣐⣼⣿⢰⣿⣿⣷⢴⣿⣿⣧⣴⣿⣿⡦⣽⣿⣿⡆⣾⣿⣿⣿⡿⢿⣿⠃⠤⢁⠂⠌⣀⠂⣁⠂⢡⠐⡁⢢⠈⡉⠛⠻⠿⠿⠿⠟⢋⡁⠂⠤⢁⢂⢉⠰⢈⠁⠆⢻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣏⢷⡹⣎⡵⣎⠿⣜⢶⣙⢮⣣⠟⣜⢧⣫⢞⣥⢻⣜⢺⣵⣿⣿⣿⣿⣿⣷⣦⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣜⣦⣿⣿⣿⡿⠋⠀⣀⡀⠀⢉ ⡇⢈⠰⢈⠐⠄⡉⠄⢂⠁⢂⠤⠑⡈⠄⣂⠱⢀⠃⡄⢂⠡⡈⠄⢿⣿⣿⡛⣫⣬⡛⠟⣫⣬⡛⢟⣣⣌⣻⣿⣡⣙⠿⢛⣡⣽⣿⠟⠁⠀⠀⣿⣧⡐⠂⠌⡐⢀⠢⠀⠜⡀⠂⡔⢀⠂⢡⠘⡀⠆⡐⠠⠌⠠⠠⠑⢠⠊⡀⠂⠔⡈⠌⠰⢀⠛⣿⣦⣀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣟⡳⢎⡳⣇⢷⣺⣼⣷⣾⣮⡝⡶⣣⢟⡼⣣⢗⡾⣸⡓⣮⣿⣟⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣋⣉⠉⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠹⠿⣿⣶⠿⠿⣿⡿⠀⠙ ⡇⠈⠆⡐⠨⠐⠠⠌⠠⡈⠄⢂⠡⡐⠌⡀⠆⡁⠎⡐⢈⡐⠄⠊⠄⡉⠻⣿⣿⣿⡿⢸⣿⣿⡟⢸⣿⣿⣿⣿⣿⣿⣷⣿⣿⡿⠋⠀⠀⠀⠀⠈⠛⢿⣷⣦⣴⣤⣦⣥⣂⣌⣁⠐⡈⠌⢠⠂⠔⠠⠄⠡⡈⠔⠡⠈⠄⠂⠄⡁⢊⠐⡈⠡⢂⠢⢀⠙⠻⢿⣶⣶⣶⣶⣿⠿⣟⢯⡳⡼⢭⣏⠷⣭⣾⡿⠋⠉⠉⠛⣿⣷⡹⢮⡵⣋⠾⣜⣥⣿⣿⠿⠿⠛⠛⠛⠛⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⣿⡧⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠥⡓⠴⣈⢏⠲⣿⣧⣶⡶ ⡇⢉⠔⠈⡅⠨⠐⢌⠰⢀⠃⡌⡐⠰⢈⠤⠑⡠⠃⠤⢁⡐⠨⠌⡐⠄⢡⠈⢿⣿⣶⣶⣏⢩⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣿⣭⣝⣛⠛⠻⠿⣷⣮⣄⡈⠄⠃⠌⠡⢐⠈⠤⠑⡈⠌⡐⡁⢂⠌⠠⡑⠠⢂⡁⠎⡐⠰⣿⣟⡼⢳⢎⣿⣼⣷⣷⣭⢳⣎⢿⡰⣿⡇⠀⠀⠀⠀⠈⢿⣯⢳⣣⢯⣿⡿⠛⠉⢀⠀⠀⡀⡄⢤⠠⠄⠤⣀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⡇⠙⠿⠛⠁⠀⠀⠀⣾⣿⣿⣿⣿⣿⣟⣼⣿⢛⠲⣉⠖⣩⢎⡱⢛⣿⣦⡀ ⡇⠌⡂⢡⠂⠡⠘⡀⠆⡁⠆⡐⡈⠔⡁⠂⠅⡂⠅⠢⢁⠤⢁⠒⣀⠊⠄⡂⠄⢻⣿⡿⠟⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣶⣾⣿⣿⣷⣦⡄⠀⢻⣏⠙⠛⢿⣶⣤⣠⣿⣿⣿⣿⣶⣬⣥⣂⣌⠐⠡⠐⠂⠔⡐⠠⠘⢠⠐⡁⢂⠐⡐⢠⠁⣿⣿⡜⣏⣾⣿⣿⣿⣿⣿⣷⣚⢮⣓⢿⣷⡄⠀⠀⠀⠀⢸⣿⣧⣿⡟⠃⠀⠀⠀⠂⠃⠀⠀⠀⠀⠉⠉⠑⠂⠁⠀⠀⠀⠀⠙⢿⣿⣿⣿⣷⣄⡀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⠟⣿⣿⣤⣋⣕⠪⡜⣡⠎⣴⣣⣼⣿⡷ ⡇⠰⢁⠂⡅⢂⠑⡈⠤⢁⠂⡡⠐⡐⠈⠌⡐⠄⢊⢁⠢⠐⢂⡐⠠⠌⡐⠌⠰⠀⢻⣷⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠙⠛⠿⣶⣶⣬⣿⣿⣿⣿⣿⣿⡿⠿⠿⣿⣿⣿⣷⣾⣤⣆⣈⡐⢁⠂⠔⠠⣁⠂⠌⡀⠆⡘⢿⣿⣜⣻⣿⣿⣿⣿⣿⡗⣮⢳⡭⡞⡽⣿⣦⣤⣀⣴⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠉⠙⠛⢿⣷⣡⢣⣾⣿⣟⡉⠉⠀ ⡇⠘⡄⠘⡄⠂⠌⡐⠰⠈⢄⢁⠂⠡⠘⢠⠐⡈⠄⠂⠤⠉⠤⠠⢁⠂⡐⠌⠡⠘⠠⣿⣿⣿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣥⣤⣈⡐⢁⠂⠔⡈⠿⣿⣼⣛⠿⡿⡟⢧⡻⣜⠳⡞⣭⣳⣭⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣶⣤⡀⠀⠀⠀⠀⠀⢻⣷⣿⠟⠈⠻⣷⣤⡾ ⡇⢡⠂⢡⠂⡁⢂⡐⡁⠊⠄⢂⣬⣴⣥⡂⠰⠀⠌⣁⠂⡉⣄⣁⠊⡐⣀⠊⢡⠘⣠⣾⠟⠁⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⣾⣿⣿⣿⣿⡏⠀⠀⠀⢠⣾⣿⣷⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣭⣿⣿⣿⣷⣿⣧⣷⣾⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⠀⠀⠀⠀⠀⠀⣹⣿⣿⣻⣿⡟⠿⠛⠻⣿⡉⠀⠀⠀⠈⠙⢿⣦⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⣿⣏⠀ ⡇⠰⡈⠄⢃⡐⠠⠐⡈⡐⢨⣿⡟⠉⠿⠟⠠⢁⠒⡀⠆⢸⣿⣿⠀⠔⠠⠘⡀⣲⣿⠋⠀⠀⠀⠀⠈⠙⠛⠛⠋⠁⠀⠙⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⢰⣿⣿⣿⣿⣿⣷⠀⠀⠀⠘⢿⡿⠟⣼⣿⣿⣿⣿⣿⣿⣿⡿⢋⣡⣀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡝⣶⡹⢞⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣶⣤⣀⠀⣠⣿⣿⣟⡷⣿⡇⠀⠀⠀⠹⣷⡄⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⢿⣧ ⡇⢡⠐⠨⠄⡠⢁⣶⣿⠿⢿⣿⣧⣐⡠⢈⠐⡀⠂⠌⡐⠂⠌⢠⠈⠌⡁⠆⢱⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⣤⣀⣀⣀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⢱⣿⣿⣿⡆⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣦⣝⣻⣿⣿⠿⣍⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣾⣿⣿⢿⣟⡿⣿⠿⣿⣷⣿⡿⣏⣯⣽⣿⣇⠀⠀⠀⠀⠙⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣾⣿⣤⡀⣹ ⡇⢂⠡⠘⢠⠐⡘⣿⣧⡔⠀⣿⣿⠿⠃⡀⠆⡐⢁⠢⠐⡉⡐⠂⢌⡐⠐⡈⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠉⠁⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠛⠟⠛⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢎⡿⣜⣻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡻⣽⢞⣯⣞⡽⣞⣻⡵⣫⣏⡷⡽⣾⠛⣿⣿⡄⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣶⣍⣿⣿⣏⣿ ⡇⠄⢃⠌⡀⠒⠠⡈⠁⠄⢂⠉⠄⢂⠐⣀⠒⡀⠆⢂⢁⠒⠠⠑⢠⠠⢁⠐⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣀⡀⣀⣀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⣛⢶⣱⣾⣿⣇⠀⠀⠀⠀⠀⠀⢀⣀⣀⣿⣿⣳⡗⣯⣗⡻⣶⣹⠾⣝⣧⢟⣷⣹⡞⣽⡟⠀⢹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⠙⠛⠻⣿ ⡇⠨⢀⠂⠄⡑⠠⠄⡉⠰⢈⠐⠨⠄⠒⡀⠆⠰⠈⡄⠂⠌⢂⠉⣄⣴⣶⣾⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⠿⠿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⡟⣣⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⣰⣿⣿⣿⢿⣿⣷⣏⣾⢳⣝⣻⠶⣏⡿⣽⣾⣿⣾⣧⣿⣽⠃⠀⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⣸⡟ ⡇⠐⡈⣴⣶⣤⠁⠂⠄⠃⠄⢊⠡⢈⠤⠁⡌⢁⠒⢠⣉⣴⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢠⣾⣿⣦⠀⠀⠐⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⢟⡰⡑⢎⠽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣶⣿⣿⢿⣹⣾⣿⣟⣾⣼⣿⣿⣯⢿⣹⣽⣿⢏⣿⣿⢿⣿⠏⢀⣼⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⣿⣧ ⡇⠠⢁⠻⣿⠏⠐⠰⢀⠒⠠⠌⠂⠌⠄⢂⠡⢈⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠸⣿⣿⣿⡄⠀⠀⠀⣀⣀⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⢌⢣⠓⡜⡰⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⡼⣏⣿⣿⣾⣿⣻⣼⢻⣤⣾⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣷⠀⠀⠀⠀⠀⠀⢿⡏ ⡇⠐⣂⠐⡀⢂⢁⠢⠁⡌⠂⢌⠁⡊⠌⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡄⠀⠀⠀⠻⣿⣿⠃⠀⠀⠸⠟⠛⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣾⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣟⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⡟⠻⣿⣾⣵⣯⣿⣿⣧⣯⣿⣿⣟⠁⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⡀⠀⠀⠀⠀⠻⣿⠿⠋⠀⠀⠀⠀⠀⠀⠘⢿ ⡇⢁⠂⠌⡐⠂⠄⣂⠡⡐⠉⡄⢈⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣰⣤⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠛⠛⠛⠋⠉⠁⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣽⣟⡻⠿⠿⠟⢛⣉⣉⢿⣧⡀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼ ⡇⠐⠌⢂⠡⠌⡐⡀⢂⠤⢁⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠙⢿⣆⡀⠀⠀⠀⠀⠀⠀⠈⠋⠙⠛⠛⠻⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⡿⣧⡻⣯⢻⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⠫⡜⠦⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡍⠉⠙⢿⣦⠀⣴⡿⠛⠻⣷⠙⢿⣦⡀⠀⠀⠀⠀⠀⠈⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠛ ⣷⣬⣌⠐⡠⠡⠐⣈⣄⣰⣢⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⠀⠀⠀⠀⠈⠻⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⡿⢿⡝⢷⡜⣷⡹⣧⡻⣧⠻⣏⢿⡝⢿⡟⣿⣟⠋⠻⣿⣿⣷⣎⡱⣌⣓⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣷⠀⣀⣨⣿⡾⠟⠀⠀⢘⣿⡀⠀⡙⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣫⣤⣶ ⣿⣿⣿⣿⣦⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣦⣤⣛⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣾⣿⣾⣿⠿⣷⡿⣷⡹⣧⢻⣮⢻⣎⢿⣷⡀⠈⠻⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣯⣿⣿⣿⣿⢿⣻⣿⣿⣿⠿⠿⠛⠛⠛⠛⠙⠋⠛⢛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⣿⠇⠀⠀⠀⠀⣸⡿⠻⠟⠟⠻⣷⣦⣤⣤⣤⣦⣦⣴⣤⣤⣤⣀⣀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣻⣽⣶⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠉⠙⠻⣿⣿⣿⣿⣷⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣿⣿⡿⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⣼⣿⡜⣷⡝⣧⡹⣷⡻⣦⢻⣿⣄⢀⣈⣿⡟⣱⡘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣦⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⠅⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀⢀⣤⣿⣿⣿⡍⣿⣿⣷⡼⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⣀⣀⠀⠀⠀⠙⠻⣿⡄⠀⢈⣿⣯⠻⣯⣿⡏⢉⣽⣿⣿⣿⣿⣆⠀⠀⠀⠈⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣾⡿⣧⢻⣎⢿⡜⢿⡜⣷⡹⣷⣿⡿⠿⣟⢫⡑⢦⠙⡬⣉⡛⡝⢻⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡇⠀⠀⠻⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⣴⡿⢁⣠⣶⣾⠿⢋⡹⠿⠟⣁⣙⠟⢫⣤⣝⠛⣭⣦⣝⠋⣵⣾⣝⢻⣿⣿⣿⣿⣿⣥ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⢿⣿⣿⣶⡀⠀⢠⣹⣿⣆⣼⣿⡼⣷⡹⣿⣿⣿⣿⣿⠿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⡟⣷⡹⣧⡻⣧⢻⣮⢿⣎⢿⣜⣿⣿⣷⣌⠲⣉⠦⡙⠴⡱⣘⣼⣿⣿⣿⡿⢋⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠛⠁⠀⠀⠀⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⢠⣾⣿⣶⣿⣿⣿⣦⢼⣿⣿⡧⣿⣿⣿⡇⣿⣿⣿⠖⢿⣿⡿⠘⢿⣿⠿⡘⠿⠿⣿⣿⠿⢻ ⣿⣿⣿⣿⣿⣿⣽⣷⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣽⣾⣿⣿⣿⣆⠀⠙⠿⠿⠇⠀⠈⠉⠙⣿⣿⣏⢿⣌⢿⡜⣿⣿⣿⣿⣤⣾⣿⣿⣿⣿⣿⠀⢀⣄⣀⣼⣿⣿⣿⣿⣿⣿⢻⣞⢿⡜⣷⡽⣷⡹⣷⡻⣮⢻⣎⢿⣟⣿⡖⣡⢎⡱⢣⠱⣸⣿⣿⣿⡟⢀⣿⣿⣿⣄⠀⠀⠀⠀⠀⢀⣠⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⠋⠀⠀⠀⠀⢀⣴⣿⠻⠿⢋⣈⡛⠛⣣⣬⡛⢛⣥⣬⡍⣩⣶⣾⡍⣱⣾⣷⡌⣼⣿⣷⣤⣾⣿⣿⣰⣿⣿⡷⣾ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠸⣿⣹⣷⣿⠿⢿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⣧⣻⣮⢻⣎⢿⡜⢷⣝⣷⡹⣷⡻⣧⢻⣿⡗⣌⣶⣿⣷⣷⣌⣿⣿⣿⠁⠀⣿⣿⣿⡿⠀⠀⠀⠀⠀⣿⣿⣽⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⡿⠃⠀⠀⢀⣠⣶⡿⣿⣿⣿⠄⣿⣿⣿⠸⣿⣿⡿⠸⣿⣿⡟⠹⣿⡿⢏⡹⢿⠿⣋⣹⠿⢟⣡⣝⠻⣋⣤⣝⠋⣥⣶ ⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⢸⣿⢻⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣝⣷⡙⣷⣹⣿⣿⣯⣻⣮⣿⣿⢿⣜⣷⡙⣷⣿⣿⠿⣯⢻⣟⢿⣿⣿⣿⣿⡄⠀⠈⠛⠛⠁⠀⠀⠀⠀⠀⠈⠉⠉⠀⣤⣤⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⡟⠁⠀⣀⣴⣾⡿⢛⣥⣍⡛⣩⣤⣭⡉⣵⣶⣮⣉⣶⣷⣦⢠⣾⣿⣦⢸⣿⣿⣧⢸⣿⣿⡇⢾⣿⣿⡇⢿⣿⣿⠇⢿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣟⣿⣽⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣿⣯⣿⡷⠀⣾⣿⡛⣷⡻⣦⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣿⠿⡿⠿⠟⠋⡈⠛⢛⠛⠙⢿⣮⣿⣾⣿⣿⣷⡝⣷⡹⣿⣿⣦⣻⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⢀⣤⣤⣄⠀⠀⠀⢀⣨⣭⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣯⣴⣶⠿⠛⣻⣿⡗⢿⣿⣿⠗⢿⣿⣿⠋⠿⣿⠿⢉⠿⠿⢟⣈⡻⠿⣋⣬⡛⠛⣥⣬⡟⢋⣵⣮⣍⣩⣶⣾⡍⣴⣾⣷⡄ ⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⠀⠀⢸⣿⢿⡜⣷⡙⣷⡹⣿⡿⠟⠛⠛⠛⠛⠉⠉⠁⢸⣿⠿⠋⢀⠐⠠⢈⠐⢠⣾⣿⣿⣧⡀⢈⠉⡉⠀⢘⣿⣿⣌⢿⣼⣿⡜⣷⣹⣾⣿⠿⢿⣿⣦⣤⣤⣼⡿⠋⠉⢻⣷⣾⣿⣿⣿⣿⣶⣿⠋⠀⠈⣽⣿⠟⠛⠉⠉⠀⠀⠀⢠⣿⢋⣴⣶⣍⢡⣶⣶⡆⣴⣿⣿⡄⣾⣿⣿⡆⣿⣿⣿⠶⣿⣿⣿⠽⣿⣿⡿⠻⣿⣿⠏⠹⣿⡿⢇⡹⠿⠿⣃ ⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⣿⣿⣿⣿⣿⡿⣿⣽⣿⣿⣿⣿⣿⡿⣿⣻⣽⣾⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⣿⡿⣮⢻⣎⢿⣜⢿⣿⣧⣀⠀⠀⠀⣀⣀⣤⣶⡿⠋⠠⠐⡀⠈⠄⠂⠠⠈⠻⣿⡿⠟⠀⠄⠂⣠⣴⣿⡿⣧⠻⣎⢿⣿⣿⣿⣿⣟⠃⠀⠀⠀⠉⣽⡟⢹⣷⣀⣀⣤⡋⠉⠛⣿⡏⠀⠀⠀⢀⣤⣾⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠘⢿⡿⠟⡘⠿⠿⣃⣙⠻⠟⣡⣝⡛⢫⣥⣭⡛⣩⣶⣭⡉⣵⣶⣮⣉⣶⣿⣦⢰⣿⣿⣧⢰⣿⣿⣧⢼⣿ ⠇⠀⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⣿⣿⣿⣿⣿⣿⣻⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⡇⣼⣿⣷⡹⣷⡻⣦⢻⣮⢿⣝⢿⣿⠿⠿⠛⠛⠉⢁⠀⠄⠡⠐⠀⡁⠄⢈⠠⠐⠀⡀⠠⠐⢈⢀⣾⣿⢿⣍⣷⡝⣷⡹⣧⣿⣧⢻⣎⢿⣷⡀⠀⠀⠠⣿⠃⠀⠙⠛⢻⣿⣦⣀⠀⠙⣿⣶⣴⣾⠿⠋⠁⣿⣿⣿⣶⣶⣤⡀⠀⠀⠀⣿⣿⣷⢰⣿⣿⣷⣸⣿⣿⡷⢺⣿⣿⡇⢿⣿⣿⠇⢿⣿⡿⠃⢿⣿⠿⣉⡻⠿⢟⣈⡻⠟⣫⣬⡛⠛⣥⣤⡙ ⡆⠀⠀⢸⣿⠙⠻⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠙⢿⣿⣧⡻⣧⢻⣮⢻⣎⢿⣾⡿⠀⠀⠄⡀⠂⠈⠄⠠⠀⠄⠂⠁⡐⠈⠠⠐⠠⠁⠂⠐⣨⣼⣿⢿⡜⢿⡝⣷⡹⣷⡻⣿⣿⣮⢻⣎⣿⡇⠀⠀⠠⣿⡆⠀⠀⠀⢸⡿⠛⠿⣶⣶⡿⠛⠉⠉⠀⠀⢰⣿⢯⡹⣝⡻⢿⣷⣄⠀⠀⠹⣿⣿⠘⠻⢿⣿⣏⡻⠟⣣⣬⡛⢛⣥⣬⡛⢩⣴⣮⡍⣱⣶⣾⡍⣴⣿⣷⣄⣾⣿⣷⣰⣿⣿⣷⢰⣿⣿⡗ ⠆⠀⢠⣿⠃⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠈⢿⣾⢷⡽⣷⡹⣷⣿⡿⠟⢁⣰⣌⣀⠠⠁⢂⠈⢀⠁⠂⠡⠐⠀⣸⣿⠀⡁⣈⣴⣿⣿⣯⡻⣧⢻⣮⢿⣞⢿⣜⣷⣽⣿⡹⣧⣻⣿⠃⠀⠀⠀⢻⣧⡀⠀⠀⢸⣟⠀⠀⣀⣴⡄⠀⠀⠀⠀⢀⣿⡿⣣⣿⣶⣿⣷⣚⣿⣷⣄⣀⣸⣿⣿⣿⣿⠛⢿⣿⡰⣿⣿⣿⠸⣿⣿⡿⠹⣿⣿⠟⡹⢿⡿⣃⡻⠿⢟⣁⣛⠿⣛⣤⣝⠛⣫⣤⣝⣫⣿ ⡃⠀⢺⣯⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣿⣿⣿⣿⠿⣛⢋⡛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠘⣿⣎⢿⣜⣿⣝⣿⣷⠀⣾⣿⣿⣿⡆⠐⡀⠐⠠⠰⣶⣦⣴⣾⡿⢃⣴⣾⠟⠋⠉⠙⠛⠿⢿⣷⣿⣧⣿⣮⣿⣿⣿⢿⣿⣿⣿⣷⠾⠿⠿⠿⣶⣿⣷⣄⠀⢸⣿⡾⠿⠛⠉⠀⠀⠀⠀⣠⣾⣿⠳⣽⣿⣿⣿⣿⣿⣒⢿⣿⡿⢻⣿⣇⢸⣿⢀⠈⠻⢿⣾⣿⣿⣶⣮⢡⣾⣿⣦⢰⣿⣿⣧⢸⣿⣿⣇⣾⣿⣿⡇⣿⣿⣿⠇⣿⣿⣿⣿⣿ ⡇⠀⢸⣿⣶⣤⡀⠀⢀⣤⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⡛⢥⠓⣌⠣⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⢿⣿⣿⡿⠛⠛⣿⡇⢀⠘⠻⠿⠛⠀⡁⠀⠌⠐⠀⠈⢉⣉⣥⣶⡿⣿⣿⠀⠀⠀⠀⠀⠀⢀⡀⠈⠉⠉⠉⣻⣿⠛⣯⣿⠟⠁⠀⠀⠀⠀⠀⠀⠈⠛⢿⣷⣦⣁⡀⠀⠀⠀⠀⣀⣤⣾⣿⢻⡜⣻⡜⣿⣿⣿⢟⣧⣛⢮⣿⣟⢧⣻⣿⣿⡟⠀⠌⢠⣶⣾⡄⠘⢿⣿⣬⣿⣿⣏⣈⡿⠛⣣⣬⣛⢛⣥⣬⡛⣩⣶⣮⣍⣡⣾⣿⣿⣿⣿⣿ ⣇⣤⣸⡿⢿⣿⣿⣦⡀⠻⣷⡄⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣭⣆⠫⣼⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⢀⣿⠇⡄⠈⠐⠀⠀⠁⣀⢡⣠⣤⣾⣿⠿⠿⣿⣷⡾⠟⠁⠀⠀⠀⠀⠀⠀⠘⢿⣦⡀⠀⠀⢿⣷⣼⡿⠁⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⡦⠙⣿⣿⢿⡿⣿⢿⡿⢿⡻⣝⠮⢧⣛⣥⢻⡔⣮⢖⣫⠶⣹⢎⣿⣟⢮⡵⣿⡟⠀⠌⡀⠘⣿⣿⣿⠀⠂⢉⠉⠉⢻⣿⣿⣿⣼⣿⣿⡿⠸⣿⣿⡟⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠁⠀⢻⣿⣿⣷⣾⡟⢿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣾⣿⣿⣿⣿⣿⢿⣿⢿⡟⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⢿⣦⣄⡈⣹⡿⠀⠀⠀⠀⠀⠀⠶⡿⠟⠛⠉⣻⡇⠀⢸⣿⣎⢷⡹⢮⣹⢣⡝⣮⢛⡧⡽⢬⢧⣿⣴⣏⡞⣭⢧⣻⣿⣿⣾⣿⣿⡇⠈⠄⠐⠀⠉⠛⠁⡀⠡⠀⠌⠐⡀⠉⠛⠛⠋⠉⣿⣿⣷⣦⢡⣾⣿⣶⣿⣿⣿⣿⡿⣿⣿⣿⣿ ⣏⣛⠁⠀⢾⣿⣿⣿⣿⡿⠁⣼⣿⣿⣿⣿⣿⠿⠛⠋⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⢿⣍⢷⡜⣷⡙⣧⡹⣧⠻⣮⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠙⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⣿⣏⢾⡱⣏⢶⣋⢾⡱⣏⢾⡱⣻⣿⠋⠉⠻⣿⣾⣒⣿⡟⢉⣴⣿⣿⣧⣀⣄⣲⣿⠇⢀⠠⠀⡐⠠⠈⡐⠀⠌⠠⠁⣂⢸⣿⢋⠻⣿⣾⣿⣿⣿⣿⣿⣿⠋⠀⠀⣹⣿⣿ ⣿⣿⣿⣾⣷⣯⣙⠻⡿⠃⣸⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠁⠈⠉⢿⣧⠀⠀⢀⣤⣀⣀⡀⠀⢀⣾⡿⣧⣻⣮⢿⣞⢿⣜⣷⣽⣿⣿⢿⣹⢮⣳⡝⣾⢻⣿⣶⣄⠀⢀⣀⣠⣶⡿⢿⣷⣄⠀⠀⠀⠀⠙⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⠇⠀⢨⣿⣏⢞⡱⣎⠗⣮⢣⠟⡼⣣⣝⣿⡏⠀⠀⠀⢸⣿⣿⡟⠀⠘⢿⣿⣿⢻⣿⣛⣛⡁⠀⠀⡀⠐⠀⠀⠡⠀⠈⠀⠂⣸⣿⣿⣿⡉⣇⠲⣹⣿⣿⣿⣿⣿⠃⠀⠀⠀⠹⣿⣿
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⠀⠀⠀⠀⠀⡠⠄⠈⠈⠀⠐⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠄⠀⠀⢀⠠⡐⡔⢪⢔⠢⡔⢠⠈⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣎⠀⣄⠣⢎⡱⣱⢪⡑⢮⡱⢌⡣⣙⠦⣠⠡⡀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣘⢀⠲⡌⢧⢣⢓⡆⢧⡙⢦⡓⡭⢲⠥⡳⢥⡓⢦⢠⠡⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠒⣬⠳⣍⠶⡩⠖⡼⡡⢞⡱⣜⡱⢣⢏⡵⢣⡝⣮⢣⢖⡀⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣌⠿⣌⠷⣩⢝⡲⡹⣌⢳⣌⠳⣭⢚⡼⢣⣛⡴⢫⡞⡴⣂⠁⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢺⡹⢶⡹⢶⡍⡞⣥⢣⡝⢮⣙⠶⣩⢞⡵⢎⣻⡱⣎⡳⢇⡟⢦⠉⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣹⢯⡽⣣⢟⡝⣦⢳⡚⢧⡹⢞⡥⣏⢞⡹⢶⡹⣜⣭⠻⣜⢯⡳⢤⠐⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠐⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣟⣞⡷⣏⡿⣜⢧⡳⣝⣣⢯⡝⡼⢎⡽⣭⢳⡝⣞⡼⢻⡜⣧⢻⡭⢖⡈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠊⠀⢀⠠⡐⢄⠒⣌⡐⢢⠰⢄⠂⡄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⣼⣛⣾⢳⣏⣯⢳⣝⡺⡼⣩⢗⣫⢞⡼⢣⡟⣼⣩⠷⣹⢎⡷⣹⢏⡶⠘⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠀⠠⢄⠣⢌⠢⡑⡌⢎⡰⢌⢢⠱⣈⠎⡔⢣⢊⠴⡀⠑⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠧⣟⣾⣛⣮⢷⡻⣜⣳⢽⡱⢯⡜⣮⢓⡯⣜⠶⣣⢻⠵⣫⢞⡵⣫⢞⡳⡌⢆⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⢨⡑⢌⠲⣈⠵⡘⠤⣃⠖⡌⢆⠳⣠⠓⣌⢣⢚⢦⡙⣆⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⢹⢾⡽⣞⣯⣽⢻⣼⢣⡟⣧⢻⡜⣝⡲⣭⢳⡭⢳⣋⢷⣫⢞⡭⣏⢷⣱⡈⢄⠀⠀⠀⠀⠀⠀⠀⠠⢀⠧⣘⠢⢓⢌⠲⣉⠖⣡⠚⡜⣌⠳⣄⢫⡔⢫⡜⢦⡝⢦⣃⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢆⢯⢿⡽⣾⣝⡿⣼⢻⣜⢧⡻⣜⠧⣝⠶⣫⡜⣧⢛⡮⣵⢫⡞⡽⣎⠷⣜⠄⠂⠀⠀⠀⠀⠀⢠⠃⣘⠦⣅⠫⡜⣌⠳⡌⢎⠥⣋⠴⣊⠵⡘⡖⣜⢣⢞⣣⢞⡳⣎⣇⠘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠂⢯⣟⡷⣯⣟⣳⡟⣮⢏⡷⣭⣛⡼⢭⣓⠾⣡⢟⡼⣣⢟⡼⣳⢭⡻⣼⢩⠌⣄⠀⠀⠀⠀⠇⠰⣌⠳⣌⢳⡘⣤⠳⡜⣩⠞⣡⢏⠲⣍⠳⡜⣬⢳⣎⢧⣏⢷⣏⡞⡆⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⡘⡾⣽⣳⢯⣷⣻⠽⣞⡵⣳⢎⡞⢧⡭⢏⡳⢏⡾⡱⣏⢾⣱⢫⠵⣎⢧⢣⠘⡄⠀⠀⢘⠠⣓⢮⣛⡜⣦⠝⣦⢛⡴⢣⢞⣡⢎⡳⣌⣳⢹⣬⢳⣎⠷⣞⣯⢾⣝⡆⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠐⡘⢷⣯⣟⡾⣽⣻⢽⣺⢵⣫⢞⡧⣻⠭⣝⣣⠷⡹⣜⢲⢣⢏⣳⢚⡬⣓⢂⠡⠀⠀⠈⡄⢫⡞⣵⢻⣬⢻⡜⣧⣝⡳⣎⢧⣏⢷⡹⣖⢯⡲⣏⣾⢻⡽⣞⡿⣞⡆⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠐⠉⣾⣽⣻⠷⣯⣟⣮⢷⡹⢮⡱⢇⣛⠦⣇⢯⡱⢎⠧⣋⠞⣰⢋⠶⣩⠖⡀⢇⠀⠀⢻⠨⣽⢞⣧⢯⣗⣻⠶⣭⣳⢏⡿⣼⣏⡷⢯⡾⣽⣻⣞⣯⢿⣽⣻⡗⡇⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠡⠱⣯⢷⣻⢷⣫⣞⢧⡻⢵⡙⢮⡜⠳⡜⢦⡹⢌⠧⣃⡛⡔⢫⠜⣡⠚⣁⠈⠀⠀⠀⠀⢾⣻⣞⡿⣾⣽⣻⣳⡽⣯⣟⡷⣾⣽⣻⣽⣳⣟⡾⣽⣻⣞⣷⣻⡅⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠡⡘⣯⣻⡽⣳⡽⣺⡝⢮⡙⢦⣙⢣⡝⢢⠧⣩⠚⢥⢊⡑⢣⠘⠤⡑⢄⢊⠴⠡⢎⠰⣉⠱⢫⢟⡷⣯⢷⣯⣟⡷⣯⣟⡷⣯⢷⣯⠷⣯⣟⢷⣛⣮⢷⣳⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⢯⣽⣳⡽⣣⢟⡣⡝⠦⡍⠶⣈⢇⠚⠤⣉⠆⡒⡌⢆⡍⢲⠡⠎⡜⢢⡙⣌⠳⢌⡓⢢⠎⡜⣩⠛⡞⢭⢛⠳⣩⠛⡡⢃⡜⠭⣓⢮⡛⣼⢣⡿⣭⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡌⢶⢻⡼⡝⠮⣑⠩⣒⠉⡖⢡⢊⡌⢣⠒⡬⡑⡜⢢⠜⡡⢎⡱⢌⠣⡜⢤⢋⠦⣙⢢⠱⡘⡤⡙⡌⢦⡉⢖⢡⠚⣄⠣⢌⠒⡌⢢⡙⣌⠻⡜⢧⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡱⠀⣏⠖⡩⠒⡌⣒⠡⡍⡔⢣⠒⡬⢡⠓⡴⠱⣌⠣⢎⡱⢊⡴⢋⠵⡘⢦⡉⡖⣡⢎⡱⢅⣣⠱⡘⢆⠭⣘⠢⡍⢤⠓⡬⡑⢬⠡⡜⢤⠓⡼⡑⢦⠌⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠈⢠⠘⡔⠬⣁⠳⠰⡌⡱⢢⠍⢦⡙⡔⢣⡙⡔⣣⢌⠳⣘⡔⢫⠔⣩⠒⣍⠦⣑⡚⡔⢪⠔⡣⢆⠭⡱⢊⢖⡡⢓⡜⠢⡍⠴⡑⣊⠦⣉⠦⡙⡴⣙⠎⡵⣂⠀⢄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⡄⢃⡚⢄⡓⠤⢋⠲⣁⠳⣌⠚⡤⢓⡌⢧⡘⢦⡑⢎⡱⢆⢎⡱⢊⡥⢋⡔⢣⡜⠴⣉⠖⣩⠒⣍⠲⣉⠇⡎⠴⢣⠜⡱⣌⠳⡘⡔⢢⡑⢎⡱⡚⡴⢋⡶⣩⠞⡤⠳⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢀⡰⢌⠣⡜⢢⠜⣡⠋⢖⡡⢓⡌⡣⢕⠣⡜⢢⡙⢦⡙⢦⠱⢎⢦⢣⣍⠲⣍⠼⣡⢎⠳⡜⡬⢥⢫⠴⣉⠦⣙⡌⢇⣣⢚⡱⢌⠣⡕⢪⠱⣘⠬⣱⢣⡝⣣⠞⣥⠻⡴⣁⠱⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠊⢀⠦⣑⢎⡱⢌⢣⠚⡤⢋⠦⡙⢦⠱⣉⢎⡕⡪⢵⡘⢦⡙⢦⠛⡜⢦⢣⠎⡵⣊⠵⣊⡜⡣⢧⡙⢦⢋⠶⣉⢮⠱⣌⠳⣤⢣⡜⣌⠳⣌⢣⠓⣬⢣⢓⠮⣜⣥⠻⣜⡽⣱⢣⢣⡘⡄⠀⠀⠀ ⠀⠀⠀⠀⢀⠈⢠⢚⢤⣋⠼⣡⠞⣌⢲⠡⠞⣤⢓⢬⡒⣍⠞⣡⠳⣌⠳⣌⠳⡜⣲⢱⢪⢜⠲⢥⠛⣔⠫⣕⢣⠎⡵⣊⠞⣔⢫⡜⢦⡙⢦⡍⣎⡱⣙⢦⡙⣎⠶⣉⢎⡞⣴⢫⡝⡶⣹⢵⣫⢞⡮⣅⠑⡀⠀⠀ ⠀⠀⠀⢀⠆⢠⢃⣏⠲⣌⠳⡜⡼⣘⠦⢫⡹⢤⣋⢦⠳⡬⣙⢆⡛⡴⢋⡬⢳⡱⢎⠲⡡⠎⠙⠬⠙⠈⠑⠈⠂⠙⠐⠉⠘⠌⠦⠙⠦⢙⠦⣙⢦⠳⣍⢶⡹⡜⢮⡱⣏⠾⣜⢧⡻⣜⢧⡻⣜⢯⡖⣧⢆⢱⠀⠀ ⠀⠀⠀⡜⠀⡎⡞⡴⢫⡜⣣⠳⡜⣆⢏⡣⣕⢣⠞⣬⢳⡱⣍⢮⠱⠍⠓⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠋⠲⠹⣝⢣⡟⣼⢻⡜⣧⢻⡼⣳⢽⡹⣮⢽⡺⡜⡄⠅⠀ ⠀⠀⢀⠇⡸⣜⡱⣭⠳⡜⣥⠳⣍⠶⣩⠖⣭⢚⡜⢦⢣⠓⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢎⡷⣹⢞⣧⢻⡵⣫⢷⣫⡗⣯⡝⣆⠸⡀ ⠀⠀⠈⣐⠳⣌⡳⣜⣣⠟⣴⡛⣬⡓⢧⡛⢦⣛⠼⠓⠁⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠉⠳⣏⣞⢯⢾⡝⣧⢷⣫⣗⣻⡼⡀⢃ ⠀⢸⠀⢮⡝⢮⠵⣓⢮⡝⡶⣙⢶⣩⠧⣏⡷⠉⢀⡀⠀⣙⣿⣿⣿⡿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⢿⣿⣿⣿⣃⠀⣀⠈⢞⣯⡳⢿⣹⡞⣧⢯⣳⣝⢧⠐ ⠀⢸⠈⣞⡼⣫⢽⡹⣞⡼⢳⡹⣎⢧⣻⠌⠀⠀⠀⢻⣿⡿⠿⢻⠛⠀⠈⢻⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠃⠀⠙⠿⠻⣿⣿⠋⠀⠀⠸⣛⣯⢷⣻⣭⣟⣳⡞⣧⠘ ⠀⢸⠀⣾⡱⣏⢾⣱⢏⣞⡳⣝⢮⣳⠁⠀⠀⠀⠀⣸⣿⣧⣀⠼⣦⡀⣤⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣆⡠⣴⠳⣀⣾⣿⡆⠀⠀⠀⠘⣽⣞⣳⡽⣞⣷⢻⡖⢸ ⠀⢸⢠⢳⡝⣾⡹⣎⠿⣼⡹⣎⠷⡏⠀⠀⠀⠀⠀⣿⣿⣿⠂⠀⢹⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣇⠁⢉⣿⣿⡧⠀⠀⠀⠀⣻⣼⣳⢿⡽⣞⡿⡼⢸ ⠀⢸⠀⢿⡼⣳⡽⣫⡟⣵⢯⡝⡿⠀⠀⠀⠀⠀⠀⠘⢿⣿⣧⣶⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢿⣿⣿⣶⣾⣿⠿⠁⠀⠀⠀⠀⠘⣧⣟⣯⢿⣽⡳⡏⢸
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣦⡀⠀⠀⠀⠀⠀⣀⣴⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠛⣿⣿⣦⡀⠀⣠⣾⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⣾⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣻⣿⣷⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⣿⡿⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⣿⣿⡿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⣿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣽⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣢⣾⣿⡿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣜⣿⣿⡿⠃⠀⠄⠀⠀⠀⡁⠀⢠⣴⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⣽⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡿⠃⠀⠀⠀⡀⢀⠀⠀⠀⢸⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠚⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢰⣼⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣾⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⢻⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢐⣶⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⣶⣶⣶⣤⣄⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⢸⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢤⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡿⠋⠁⠀⠀⠈⠉⠛⢿⣶⣿⠟⠉⠀⠀⠀⠀⠀⠙⢿⣿⡄⠀⠀⠀⠐⣻⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣠⣾⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠁⢿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢠⣸⣾⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠁⠀⠀⠀⠊⢻⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡇⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣽⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⣿⣆⠀⠀⠀⠀⠀⣠⣾⠟⠟⠛⠛⢷⣦⡀⠀⠀⢠⣄⣼⣿⠃⠀⠀⠀⠀⠀⠀⠀⠹⢿⣿⣷⣔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⣾⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢄⣤⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣦⠄⠀⠠⣿⠁⠀⠀⠀⠀⠈⣿⡇⠀⠀⠰⣿⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⢿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣢⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣶⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣴⣿⠏⠁⠀⠀⠀⢻⣷⣄⣀⢀⣤⣼⠟⠀⠀⠀⠀⠈⠹⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣶⣦⣤⣀⣀⣀⣀⣀⣀⣀⣤⣾⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣸⣵⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣳⣿⠇⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⢹⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⣰⣤⣷⣿⣿⠿⡋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣖⣼⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⡃⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⣽⣿⣿⢿⣿⣦⡀⠀⠀⠀⠀⢀⣠⣾⡿⢿⣦⣄⣀⠀⠀⢀⣀⣴⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⢮⣿⣿⡿⠃⠀⠉⠻⢿⣷⣶⣶⣾⡿⠟⠋⠀⠀⠉⠛⠿⠿⠿⠿⠟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣳⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠐⣽⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣽⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣾⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⣤⣦⣤⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣤⣄⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⣿⣿⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣶⣿⣿⣿⡿⠿⠿⠟⠛⠛⠛⠛⠛⠋⠉⠙⠛⠛⠛⠛⠛⠿⠿⠿⣿⣿⣿⣶⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡿⠰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⣿⣿⣶⣤⣀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣟⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣾⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⣺⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣯⠀⣇⠀⠀⠀⠀⠀⠀⠀⢀⣀⣶⣿⡿⠋⠁⠀⠀⢀⣠⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⡤⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠨⠇⠀⠀⠀⠀⠀⠀⢠⣰⣿⡿⠋⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡏⠀⠀⠀⠀⠀⢿⠟⠛⠋⠉⠉⠛⠁⠀⠀⠛⠿⣿⣿⣇⢹⣿⣿⡷⠀⠙⠛⠉⠉⠉⠙⠛⠿⠇⠀⠀⠀⠀⠀⠀⢹⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣏⠠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⢟⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣷⣦⣤⣤⣄⣀⣀⣀⣠⣤⣤⣴⣾⡿⠟⠋⠈⠻⢿⣿⣦⣤⣄⣀⣀⣀⣀⣀⣀⣤⣤⣶⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⣉⣛⡛⠿⠿⠛⠛⠛⢛⣋⡉⠁⠀⠀⠀⠀⠀⠀⠈⡉⣻⢿⢿⣿⣿⠿⠿⠿⠟⢛⣉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠥⢣⡉⢦⠱⣈⠦⡑⡌⠦⡑⢎⡔⢣⢍⡛⠷⣾⣰⡉⢖⡱⢊⡖⡱⢎⡜⢦⡙⢦⡙⢦⡙⡼⢌⡣⡝⣬⢣⡝⣬⢋⡟⢿⣼⣡⢏⡼⣡⢏⡼⣘⢦⡙⢦⡙⢦⡙⢆⠳⡘⢆⠳⡘⢆ ⡃⢧⠘⡆⢓⡌⡒⡱⡘⠦⣙⠢⡜⡡⢎⡜⡱⢌⡛⢿⣶⣥⣋⠴⡙⢦⡙⢦⡙⢦⡙⢦⣙⠲⣍⠶⣙⠴⡣⢞⡴⢫⡜⣣⠮⣝⡿⣶⣵⣊⠶⣉⠶⣙⢦⡙⢦⡙⡬⢣⡙⣌⢣⡙⢎ ⣑⠊⡵⢈⢇⡰⢡⠱⣌⠱⣂⠳⢌⡱⢊⠴⡑⢎⡜⠲⣌⡛⡟⣾⣍⡶⣩⢖⡹⢆⡝⣆⢣⢏⡲⡹⣌⢳⡙⢮⠜⣣⡾⠗⠋⠉⠉⠛⢾⣛⢷⣭⣚⡱⢊⡜⢦⠱⣡⠓⡜⢤⠣⡜⠬ ⡄⢫⠔⣩⠢⢌⡱⠒⣌⠱⢢⠍⢦⠱⣉⢖⡩⣒⠬⡓⠴⣉⠶⡑⠮⡝⣷⣮⣳⢍⠶⣌⠳⣎⠵⡳⢬⢧⣙⣮⠟⠉⠀⠀⠀⠀⠀⠀⠈⣿⡲⢿⡹⢷⣯⣘⢦⡙⢤⢋⡜⢢⠓⡬⢓ ⠹⣦⣝⡠⢓⠬⢰⢉⠦⡙⡢⠍⣆⣳⣬⡶⠷⢾⢛⠻⣛⢛⡛⡛⣟⢷⣾⣣⢛⡿⣶⣍⡳⡬⣗⣽⠿⠞⣫⠖⠋⠉⠳⣄⠀⠀⠀⠀⣠⣿⢏⢣⡱⢊⠖⣹⢳⢮⣗⠬⡜⣡⢋⠴⣉ ⡝⢢⠜⡹⢳⣮⣅⢎⣲⣵⠷⢟⡛⠭⡡⢌⠳⡌⢎⡱⢌⠦⡱⠱⣌⠢⡜⠹⣷⣞⣌⢻⢻⣷⠟⠁⠀⠀⣿⠀⠀⠀⠀⢸⡆⠀⣠⣾⢋⡴⢊⠵⣬⣍⣾⣤⣳⣌⡙⠿⢶⣥⣎⠲⡡ ⢌⠣⡌⢥⢣⣼⠿⡛⡍⢦⡉⠖⡬⢱⡑⠎⢦⢙⣦⣵⣎⣖⣩⣗⣤⡓⣌⠳⢌⢿⣎⣧⡟⠁⠀⠀⠀⠀⠘⣄⡀⠀⢀⡴⠋⠛⢿⣄⣣⣮⠟⠛⠉⠀⠀⠀⠈⠹⣮⡑⢎⡜⢹⠳⣥ ⢌⢒⣡⣾⠟⡡⢎⡱⡘⢦⡙⡜⡰⢃⡜⡉⢶⡟⠁⠀⠈⠛⠀⠀⠉⠻⡴⣉⠎⢦⢩⡙⡛⠶⣦⣄⡀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⢺⠆⡜⣡⠓⣌ ⢌⢢⡿⣁⠎⡔⢣⠒⡍⢦⠱⣌⠱⣃⠦⢹⣘⣧⡀⢠⡞⠩⣹⡆⢀⣴⠷⣡⠚⡤⢣⠜⣡⠓⡴⡘⠹⠷⠶⠶⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢏⢃⠞⡰⢡⠚⡤ ⠢⣹⡗⢤⢋⡜⣡⢋⠜⣢⠓⣌⡱⣆⣮⢿⣾⡟⠁⠀⠙⠒⠚⠁⠀⠈⣗⢢⡙⡔⢣⠚⡤⢋⠴⣉⢣⡙⣌⠓⡬⢨⡙⢟⡶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⢫⠌⡎⡜⣡⢣⡙⡔ ⠱⢌⢿⣶⣨⣔⣢⣎⣼⡴⣿⢾⣽⣯⣿⣿⠟⣧⡀⠀⢀⣴⣄⠀⣀⡼⢛⠤⡓⣌⢣⡙⠴⣉⠖⡡⢆⡱⢌⡚⢔⠣⡜⣡⢚⢫⣷⡀⠀⠀⠀⠀⠀⠀⣠⢟⡡⢃⠞⡰⡑⢆⠣⡔⣡ ⡑⢪⠰⣉⠟⠿⠷⠿⠾⢟⡻⣋⠟⡵⣺⡇⠲⣌⠻⡙⢋⡅⢮⡋⢍⠲⣉⠖⡱⢌⠦⣙⢢⡑⢎⡱⢊⡔⢣⠜⣌⠓⡜⢤⠋⣆⢫⣿⡀⠀⠀⠀⣠⣾⣝⡢⢅⠫⣌⠱⣉⢎⡱⡘⡤ ⠷⣌⠦⡙⡔⢢⠒⡔⢢⡜⣡⠫⣔⢧⣿⢑⣦⡽⠶⠷⠚⠷⠮⢵⣜⣢⡙⡔⠣⡜⢤⢋⡌⠳⣌⠣⢎⡱⢺⡔⣩⢒⡱⢌⠲⣉⢎⣹⣧⠀⢀⣴⡿⣟⠹⣳⢾⣤⡙⠦⡙⣌⢣⢣⠱ ⢢⢍⡺⣵⣎⡥⣋⠜⣡⠚⣤⠳⣜⢺⣧⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⣵⣘⠢⢎⡘⡱⢄⡋⠖⡬⢹⡗⢢⠣⡜⡌⡓⣌⠲⡄⢿⣶⡿⢫⠜⡤⢓⠦⡩⢝⡻⢧⣳⢌⢆⠣⣍ ⣶⠻⣙⠤⡩⢝⠷⣯⣔⡍⢆⡳⢌⡻⡟⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢷⣎⡴⢑⠪⠜⡱⢌⡍⣿⡡⢓⡜⡰⠱⡌⡓⡜⢢⢻⣎⠕⡪⢔⡩⣒⠱⣊⡜⢥⢛⠻⢮⣵⡨ ⢃⠳⣌⠲⣉⢎⡜⣌⠛⡿⢾⣔⣫⡾⢻⡞⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣎⠱⣉⠖⡡⠎⢿⣌⢣⠒⡥⢓⠬⡱⢌⢣⠚⣿⣌⠱⣊⠴⣡⢣⠱⡘⢦⡉⢞⢢⠆⡽ ⣍⠲⣌⠳⣌⠲⡜⢢⢛⡌⣇⢿⡟⠀⠀⢷⡄⢹⠳⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣈⢎⠱⣹⢸⣿⢢⡙⠴⣉⠖⡱⢊⠦⣩⣹⣦⠓⡥⢚⠤⣃⠧⡙⢦⡙⡜⣢⠹⡰ ⢆⠳⣌⠱⣌⠳⣘⡱⢪⠔⣎⣾⠀⠀⠀⠀⣻⣜⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⢎⡱⢂⣿⣿⣧⡜⡱⢌⢎⡱⣉⠖⣡⠱⣿⢍⠲⣉⠖⣡⢎⡱⢢⡑⢎⡔⢣⠱ ⢎⡱⢌⠳⣌⠣⠵⣘⠥⣚⠴⣺⣳⣤⣤⡾⣛⡹⣷⣄⠘⠿⠂⠀⠀⠐⠶⣤⣀⣀⠀⠀⡀⠀⡀⢹⠶⢱⣹⣿⡾⣿⣷⡘⡌⢦⠱⣌⠚⡤⢃⣽⡏⡕⢪⠜⡢⢎⡔⢣⠜⣡⠎⡥⢋ ⠦⡑⢎⡱⢌⡣⢏⠴⣋⠴⣋⠴⣙⢖⡣⢞⡡⢣⢓⡞⢿⢦⣤⡀⠀⠀⠀⠀⠉⠟⢟⠳⠶⢀⡇⣸⣫⣶⡿⢋⣾⡹⣿⣷⡜⣢⠓⣌⠳⢌⠣⢼⡿⣈⢇⡚⡱⢊⡜⡡⢎⡱⢊⡴⢩ ⢣⡙⢦⠱⣊⢖⡩⢖⡩⠖⣍⠮⣱⢊⡵⢊⡼⢡⠇⣎⡱⢎⠲⣙⠻⠶⣦⣤⣄⣀⣸⣀⣉⣨⡶⠿⠛⢁⣴⠻⣄⠣⡽⣿⡿⣧⡝⡤⢋⠬⣃⣿⣝⣷⣾⣴⢡⠓⡬⡑⢎⡔⢣⠜⣡ ⡣⢜⢢⢋⡴⢪⠱⢎⡱⣋⡜⡲⢥⡓⢬⠓⣌⠣⠞⡤⢓⠬⡓⣌⠣⣍⣱⢭⡏⠀⠀⠀⠀⠀⠀⢀⡴⠯⣌⠳⣌⠳⡰⣩⠟⣿⣿⣷⣯⣼⣾⣷⢻⠱⣌⢚⡻⢷⣦⡙⢦⠸⣡⠚⡥ ⡙⢮⣇⡣⡜⢣⣋⢎⠵⣂⢳⠱⢦⡙⢆⢫⠔⣍⠚⡴⡉⢖⡱⢨⡑⠦⣘⣾⡀⠀⠀⠀⠀⣠⣾⠫⠵⢣⢌⠳⣄⢣⠕⣢⠛⡴⢊⡽⣬⡟⡏⢆⢇⠳⡌⢦⡑⢎⠼⡹⠷⣗⢤⢋⠴ ⡙⢦⣼⡽⢻⢧⣜⡪⣜⡡⢏⢺⠰⣉⠎⢦⡙⢤⢋⠴⣉⠖⠬⣑⣬⡷⠟⣃⠿⣦⠴⣖⠻⣡⠛⡟⣯⣖⣪⠱⡌⢖⡩⢦⡹⣴⠿⣛⠵⡘⢬⢃⠮⡱⢜⢢⡙⢬⠒⡥⢓⡌⢫⠞⡶
˖⁺‧₊˚♡˚₊‧⁺˖
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𝓻𝓮𝓼𝓹𝓮𝓬𝓽𝓯𝓾𝓵𝓵𝔂 𝓼𝓽𝓯𝓾 <3 ⠀⠀⣀⣤⠶⠶⠶⠶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡾⠋⠀⠀⠀⠀⠀⠀⠈⠙⠳⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⡶⣴⣤⣄⡀⠀⠀⠀⠀ ⠈⠻⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢦⡄⠀⠀⠀⠀⣠⡶⠛⠉⠀⠀⠀⠀⠀⠈⠙⢷⣄⠀⠀ ⠀⠀⠈⠻⢦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⢀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀ ⠀⠀⠀⠀⠀⠉⠛⠶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀ ⠀⠀⠀⠀⠀⠀⢀⡤⠶⠿⣿⣦⠗⠛⠒⣦⣀⠀⠀⠀⠀⠀⠐⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⡇⠀⢠⡇⠀ ⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠘⠇⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢸⣇⠄⠀⠀⠀⠀⠀⠀⠀⣠⡿⠀⠀⠐⢸⡇⠀ ⠀⠀⠀⠀⠀⠀⠹⣤⡀⢰⠞⠉⢳⡄⠠⣾⠁⠀⠀⠀⠀⠀⠀⠀⠛⢶⣤⣀⣀⣀⣤⡴⠟⠃⠀⠀⠀⠀⣿⠁⠀ ⠀⠀⠀⠀⠀⠀⠠⡏⠀⠈⠓⡶⠊⠀⠀⠘⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠰⣸⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣧⣀⣀⣠⡾⢦⣤⣤⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⡀⠀⠀ ⠀⠀⠀⠀⠀⢠⡿⠀⠈⠉⠁⠀⠀⠀⣀⣀⡀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠀ ⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⡴⠒⠒⣞⣁⡠⠽⠭⢄⣈⣳⣊⡉⠲⣄⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀ ⠀⠀⠀⠀⢸⡇⠀⡴⠋⢙⡵⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠳⢤⣀⣳⠤⢤⡀⠀⠀⠀⠀⠀⠀⠀⠐⢺⡇ ⠀⠀⠀⠀⢸⡇⡮⢇⡾⠁⢠⣶⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⣄⢹⣄⡀⠀⠀⠀⠀⠀⠀⠈⡇ ⠀⠀⠀⠀⠸⣿⡁⣼⠀⠀⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⠀⠈⠳⣄⢹⠦⠀⠀⠀⠀⠀⠀⣟ ⠀⠀⠀⠀⠀⠻⡟⢿⠀⠀⠈⠛⠉⠀⠀⠀⠀⣤⠤⣄⠀⠀⠀⠀⠀⣸⣿⣿⣧⠀⠀⠙⣎⠳⡄⠀⠀⠀⢸⢰⡏ ⠀⠀⠀⠀⠀⠀⠱⣜⣆⡤⠦⠤⣄⠀⠀⠀⠀⠛⠒⠋⠀⠀⠀⠀⠀⢻⣿⣿⡏⠀⠀⠀⢸⣤⠇⠂⠀⢠⢄⡾⠁ ⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠐⣾⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⢸⠃⡃⠁⠠⣠⡾⠁⠀ ⠀⠀⠀⠀⠀⠀⠐⡇⠀⠀⠀⠀⣼⣦⣤⣠⠦⢄⠙⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢿⡞⣡⣤⠾⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠸⣿⠉⠀⣹⣀⣙⣿⠏⠁⡽⠶⠤⣤⣤⣤⣤⣤⣴⡾⠅⠚⠛⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠳⣤⣀⠀⠈⠛⣿⠿⣌⡝⠝⡍⣘⣧⣀⣀⣀⣀⣤⣴⣶⣾⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⣳⡶⢻⠷⣮⣤⣤⣽⣥⣬⣭⣿⣿⢿⡖⠋⠉⠉⢳⡝⢧⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⣠⢺⣥⣧⣽⢂⡄⠀⠓⠀⠈⢻⡄⠀⠀⠀⠀⣿⣭⣧⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣋⠴⢺⠥⠚⠁⠀⠘⠦⣽⡒⢤⣄⣀⣼⢳⣤⡀⠀⠼⠃⣠⣷⡗⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠯⠜⠉⡏⠀⠀⠀⠀⠀⡄⣧⠉⠙⠲⣾⣯⣯⣏⣳⣶⣴⣾⣻⣉⣽⣵⡦⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠸⠄⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⣿⢄⠀⠀⠀⠀⠀⠀⠀⠉⢉⣽⡶⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠟⢦⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⢸⡀⠙⠒⠢⢴⣉⡦⠔⠚⠋⢸⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠦⠽⣉⣙⣟⠛⣛⠻⢿⠞⠿⡟⠿⣻⠛⣧⠀⠀⠀⠀⠁⠀⠀⠀⢀⡎⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣯⣉⣉⣻⣿⣃⠙⢍⣫⣁⠉⠉⠉⣉⣩⣿⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣤⣉⣉⣿⡀⠉⠛⠛⠧⠜⠛⠛⠛⠉⢡⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠛⠾⠶⠶⠶⠶⠞⠳⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠈⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⠀⠀⠀⠀⠈⠳⣄⣠⠎⠀⢠⠋⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢫⠀⠀⠀ ⠀⠘⣆⠀⠀⠀⠀⠀⣠⠤⢄⡀⠘⡆⠀⠀⠀⠀⢀⡼⠋⠀⠀⡏⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀ ⠀⠀⠘⣄⣀⣀⣴⠋⠀⠀⠀⠹⡀⡇⠀⠀⠀⣠⠏⠀⠀⠀⢠⠁⠀⢰⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀ ⠀⠀⢠⠋⠁⠀⡨⠔⠂⠤⡀⢰⠃⠧⠤⠤⠚⠓⠒⠒⠒⠠⠼⠤⠀⠀⢀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢏⢧⠀ ⠀⠀⢨⠀⠀⡞⠀⠀⠀⠀⢹⠈⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠘⡆ ⠀⠀⠀⠓⡄⠑⢄⠀⠀⢀⠜⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⡀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠙ ⠀⠀⠀⠀⡇⠀⠀⠉⠈⡡⠤⠤⠐⠃⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⣀⠞⠀⠀⠀ ⠀⠀⢀⡔⠛⢄⣀⣠⠜⠁⠀⣀⠤⠖⠒⠉⠉⠉⠀⠀⠀⠀⠉⠉⠒⠢⢄⡀⠀⠀⠀⠀⠈⠑⠒⢎⠁⠀⠀⠀⠀ ⠀⢀⠎⠀⠀⠀⠀⢀⡠⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⢄⡀⠀⠀⠀⠀⠈⢣⠀⠀⠀⠀ ⠀⡎⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠈⡇⠀⠀⠀ ⢸⠁⠀⠀⣠⠋⠀⠀⢠⣶⣿⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣷⣦⡀⠀⠀⠙⡄⠀⠀⠀⢹⠀⠀⠀ ⢸⠀⠀⢠⠃⠀⠀⣰⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣆⠀⠀⠈⡆⠀⠀⢸⠀⠀⠀ ⢻⠀⠀⡏⠀⠀⠸⠿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠉⠀⠀⠀⠸⡀⠀⢸⠀⠀⠀ ⠘⡆⠀⡇⠀⠀⠀⠀⠙⠿⠿⠿⠋⠀⠀⠀⠀⠀⣤⣤⡄⠀⠀⠀⠀⠘⠻⠿⠟⠋⠀⠀⠀⠀⠀⡇⠀⡎⠀⠀⠀ ⠀⠘⡄⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⡸⠃⠀⠀⠀ ⠀⠀⠘⢦⣇⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⠴⠶⠤⣤⠤⠤⢤⡀⠀⠀⠀⠀⠀⠀⠀⢀⣏⡔⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢧⡀⠀⠀⠀⠀⠀⣼⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡆⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠓⢤⣀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⡠⠖⠚⠙⠒⠢⡇⠀⠀⢀⡠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⡖⠉⠉⣒⠿⠦⠤⣀⣀⣀⣠⠊⠀⠀⠀⠀⠀⠀⠐⣶⠾⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡀⠈⠑⠆⡀⠀⢀⡟⡟⠀⠀⠀⠀⠀⠀⠀⢀⣏⠴⣞⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠋⠢⣄⡀⠀⢁⠟⠀⠘⢄⠀⠀⠀⠀⠀⠀⠊⠀⠀⢛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡠⠤⢤⡜⠁⠀⢀⡆⠈⠉⠁⠀⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡏⠀⠀⠘⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠤⣀⣀⣀⣀⠴⡇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢱⡀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⡠⠒⠉⠀⠀⠀⠀⠀⠀⢫⠁⠉⠢⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠛⠒⠤⢤⡤⠔⠒⠓⠂⠀⠀⠀⠀⠀⠸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠾⠛⠉⠀⠀⠈⠙⢿⣆⠀⠀⠀⡻⢷⣀⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⢰⡟⡟⣻⣬⣌⢩⠟⢠⣤⣶⡀⠀⣀⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⣸⠛⠁⠻⠶⡟⣿⠀⢠⡿⣩⣿⣾⢻⣝⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⣀⠠⡞⣿⣟⢷⡀⠀⠀⠀⣸⠏⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣿⣤⣄⣈⠀⠀⠀⠰⣾⠇⠀⠸⢿⡿⣽⡯⣽⣿⡿ ⠀⠀⠀⠀⠀⣠⣴⠶⠶⡟⠀⠐⢿⡟⣛⣶⣷⢿⣟⢿⡟⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⣰⡾⠟⠉⠁⠀⠀⠀⠉⠙⢿⣦⠀⠀⠀⠀⠀⠀⠈⠁⠈⠛⠳⡿⠁ ⠀⠀⣿⢻⡗⢡⡤⡵⡖⣷⡀⠀⠸⣧⣿⡄⢿⣾⣽⠼⠷⠀⠀⢸⡇⠀⠀⠀⠀⠀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣎⣷⠘⠿⠞⠛⣺⣇⠀⠀⠉⠙⠃⠀⠀⠀⠀⠀⢀⣀⣼⣧⠆⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢻⡅⠀⠀⠀⠀⠛⠁⠀⠀⠀⠀⠀⠀⠀⢀⣴⡶⠛⠉⠉⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⣴⠇⠀⠀⢰⡟⠀⠀⣠⠴⢤⡀⣀⣀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢷⣤⣀⣀⣠⣴⠾⠋⠀⠀⣄⡿⠁⠀⠀⣧⠀⠈⣿⡁⠈⣹⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⡀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠙⢷⣆⠀⠀⠹⣦⡀⠀⣁⣾⠟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣄⣼⡋⠀⠀⠀⠀⣀⣤⠶⠚⠛⠛⠉⠉⠛⠓⠒⠶⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀⠈⠉⠛⠋⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠿⠉⠙⣷⠶⠶⣾⡋⣤⣶⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⣦⡀⠀⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⣧⠀⠀⠀⣠⡟⠀⠀⣿⢸⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡈⠻⣆⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⠏⢀⣤⣌⡛⠛⠛⠉⠀⠀⠀⠘⣿⠛⠛⠁⠀⠀⢰⡖⢶⡄⠀⠀⠀⢠⣿⣿⣿⠀⠹⡆⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⡏⠀⣾⡁⣸⡇⠀⠀⠀⠀⢀⣤⣄⠻⣦⣾⣳⢚⣧⣀⣉⣉⣀⣀⡄⠀⠙⣿⣿⠟⠀⠀⣿⡀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⠀⠈⠉⠁⠀⣀⡀⠀⠀⢿⣐⣸⠇⠀⠈⢿⣼⢹⡀⠉⠉⠉⣼⢰⡶⡄⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⣏⠉⢹⠄⠀⠀⠉⠁⠀⠀⠀⠀⠉⣿⠳⣄⣠⠞⠹⡄⠉⣁⣀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⡁⠀⠀⢀⠉⠉⠉⠀⣤⡀⠀⠀⢀⣤⣀⣀⣀⣽⣄⣀⡀⠀⠀⠉⠐⠧⠞⠃⠀⠀⠀⠀⣼⠃⠀⠀⠀⢀⡿⠀⢀⣴⢦⡄⠀⣀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠷⡤⠶⠛⠻⠶⠶⠞⠋⠙⠛⠛⠛⢡⡟⠉⠙⠷⢬⣉⣻⡟⠿⠶⣦⣤⣤⣤⣤⣤⡴⠛⠁⠀⣀⣠⣴⠿⠃⠀⠸⣇⠀⢻⡞⠋⢹⣷ ⠀⠀⠀⠀⢀⡴⠶⣦⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⣀⣀⣀⣀⣀⣈⠛⠶⠶⠶⣿⠃⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠹⣦⡈⢀⣰⡾⠏ ⢀⣴⠚⠳⢾⠁⢀⣼⠀⠘⣧⣀⣀⣀⣀⣀⡀⣀⣀⣀⣀⣀⣼⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⢹⡟⠳⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠉⠁⠀⠀ ⠀⢿⣤⣀⣠⣤⠿⠋⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⢩⡟⠓⣷⡀⠀⠀⢠⣤⣤⠀⠀⠀⠀⢸⣏⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣄⡈⣻⣦⣤⣿⡀⠙⠀⠀⣠⡴⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠘⠛⠷⠚⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣻⣟⣿⣻⣟⣿⣻⢟⣿⣻⣟⣿⣻⣟⣿⢻⣟⡿⣽⣻⣟⡿⠛⠉⡀⡤⢴⡰⣒⢖⡲⣚⠴⡳⣜⢲⡒⢦⠤⣤⣀⠄⠉⢉⠛⠿⢿⣻⡿⣿⢿⡀⠈⢧⢫⡜⣣⠝⣮⢱⢫⡜⣣⠝⣮⢱⢫⡜⣣⠝⣮⢱⢫⡜⣣⠝⣮⢱⢫⡜⡥⠀⢹⣿⢿⣻⡿⣟⣿⢿⣻⡿⣟⣿⢿⣻⡿⣟⣿ ⣷⣻⣞⣷⣻⣞⡷⣯⣟⣾⣳⣟⣾⣳⣟⣾⣻⢾⡽⣷⣻⠞⠁⣠⠖⡽⣘⢧⠳⣍⢮⡱⣍⢞⡱⢎⢧⡙⣎⠳⢦⡙⣎⡛⢦⢤⣂⡀⠉⡙⠿⣻⣧⠐⠨⡳⡜⣥⢛⡴⣋⠶⣙⢦⡛⡴⣋⠶⣙⢦⡛⡴⣋⠶⣙⢦⡛⡴⣋⠶⣙⠶⠈⢘⣿⣟⣯⣿⣻⣽⣟⣯⣿⣻⣽⣟⣯⣿⣻⣽ ⣿⣳⣟⣾⣳⢯⣟⣷⣻⣞⣷⣻⣞⣷⣻⢾⣽⣟⣿⣳⠏⠀⡴⢣⡛⡴⣋⢎⡳⡜⢦⠳⡜⢮⡱⣋⠶⡹⣌⡛⢦⡛⡴⢭⡓⣎⠶⣩⠳⣤⡀⠄⠙⢣⠀⠱⣙⢦⣋⠶⣩⢞⡱⢎⡵⢣⡝⢮⡱⢎⡵⢣⡝⢮⡱⢎⡵⢣⡝⢮⡑⢎⡐⠀⣿⣾⢯⣷⢿⣽⠠⢸⣷⢿⣽⡾⣯⣷⢿⣽ ⣷⣻⣞⣧⠟⠛⠾⢳⣟⣾⣳⣟⣾⣳⢯⣿⣳⣯⣿⡍⠠⢸⡱⢣⡝⡲⣍⢮⡱⣙⢎⡳⣙⢦⠳⣍⢞⡱⢎⡝⣲⠹⣜⢣⡝⣬⠳⣥⢛⡴⣩⢓⡦⣀⠌⠀⠌⠶⣩⢞⡱⢎⡵⢫⡜⣣⠞⣥⢛⡼⣘⢧⡚⣥⢛⡼⣘⢧⡚⢥⠚⡬⠐⠈⣿⣽⠏⠛⢋⠗⡠⢹⣾⢿⣳⠿⣯⣟⣯⣿ ⣯⢷⡛⠀⣀⢦⣄⠠⠘⣷⣻⣞⡷⣯⣟⣷⢿⣳⣯⠇⠀⡧⣝⢣⢞⡱⢎⠶⡹⡜⢮⡱⣍⢎⡳⡜⢮⡱⢫⡜⣥⢛⡬⢳⡜⢦⡛⡴⣋⠶⣡⢏⠶⣩⠖⣥⠂⡀⠳⢎⡵⢫⡜⣣⠞⣥⢛⡴⣋⠶⣩⢖⡹⢆⡏⠶⣉⠦⣙⢢⡙⠴⠁⡘⣿⣽⣶⣿⣤⠆⢡⣂⠌⡙⢃⣐⣾⢿⣽⣾ ⣯⣟⡁⠄⢏⠶⣌⠃⠠⠈⢁⠉⠉⠁⡉⠘⠛⠋⠿⠇⢀⠳⣎⠳⣎⠵⣋⢞⡱⣙⢦⠳⣬⢣⢳⡙⡦⣝⢣⠞⡴⢫⡜⣣⠞⣥⢛⡴⣍⢞⡱⢎⡳⢥⡛⡴⣋⢦⡀⠌⠚⡵⢪⡕⣫⠖⣭⠲⡍⠞⡱⠎⠑⠣⠘⠱⢈⠒⠡⠢⠙⠌⡐⠸⢿⣽⣾⣳⣿⣈⣴⡿⡿⠐⣂⠌⡙⠿⢓⠻ ⣷⣫⢷⣤⣀⣂⡀⠌⠠⢁⠂⠌⠠⠁⠄⡁⠂⠌⠠⠐⠠⠘⣬⠳⣬⠳⣍⢮⡱⣍⢎⡳⢬⢣⢧⡙⢶⡩⢎⡽⣘⢧⡚⣥⢛⡴⣋⠶⣩⢎⡵⢫⡜⣣⢝⡲⡍⢦⡉⢦⠐⠈⠳⠘⠁⡉⢀⡐⣀⣂⠤⡤⢥⠦⡥⢦⠤⢦⠥⣆⢥⡰⣀⣂⠄⡀⠉⡙⠾⣟⣯⡿⣷⣳⣾⠿⡐⠌⡂⢾ ⡷⢯⣻⢞⡽⡽⣇⠈⡐⠠⠈⠄⣁⠊⡐⠠⠁⡌⠄⡁⢂⠁⡀⠻⣔⢫⡜⢦⠳⣬⢣⡝⣎⠳⣎⡝⢦⡝⣎⠶⣩⢖⡹⢆⡏⢶⡩⢞⡱⢎⣜⢣⢞⡱⢎⡱⡘⠆⠉⠄⡁⣌⠴⣘⠶⣩⢧⡹⡜⣬⢳⡙⣎⢳⡙⢮⡙⣎⠳⡜⢦⢳⡱⢎⡽⣱⠲⣤⣀⠀⡉⠻⢿⣽⡾⣷⣴⣷⣌⣼ ⣟⣯⡽⣏⡿⣝⡧⠀⠄⠡⠘⠠⢀⠂⠄⡁⠆⡐⢀⠒⡀⠂⠄⡁⠘⢧⡚⣥⢛⡴⢣⠞⣬⠳⡜⣜⢣⠞⣬⢳⡱⢎⡵⢫⡜⣣⠝⣮⢱⢫⡜⡣⢎⠑⠊⡀⣐⣠⢓⠮⡕⣎⠳⣍⢞⡱⢎⡵⣙⢦⢣⡝⣬⢣⡝⣲⠹⣌⠻⣜⢣⢧⡙⣎⠶⣡⡛⡴⣩⢓⠦⣄⠂⠙⢿⣯⣷⢿⣽⣻ ⡿⣼⣳⢯⡽⡾⣽⠀⠌⠠⠑⠠⠁⠌⡐⢀⢂⠐⠄⠂⠄⡑⠠⡀⠡⠀⠙⠦⣫⢜⣣⢛⡴⢫⡜⣎⢧⡛⡴⢣⡝⢮⡜⣣⠚⠁⡈⢀⠉⠢⠑⢁⠠⣈⡴⢪⡕⢮⡙⢮⡱⢎⡽⣘⢮⡱⣋⠶⣩⢎⡳⡜⢦⠳⡜⣥⢛⡬⣓⢎⡳⢎⡵⣊⠷⣡⢛⡴⢣⢏⡞⣬⠳⣄⠂⠙⢾⣟⣯⣿ ⣿⣱⣟⡾⣽⢽⣳⠄⡈⠄⡑⠈⠤⢁⠐⠂⠄⡨⢀⠉⡐⠠⠁⠄⡡⢈⠐⠠⢀⠙⠦⢫⡜⣣⠞⡜⢦⡹⣜⢣⢞⡱⢎⠁⢠⢒⠩⡌⢆⡁⠌⢰⣋⠶⣩⠳⣜⢣⡝⣲⡙⣎⠶⣩⢖⡱⣍⢞⡱⢎⡵⣙⢎⣳⣽⣦⣿⣶⣿⣾⣿⣿⣿⣿⣿⣿⣷⣾⣷⣮⣜⢦⡛⣬⠳⣄⠂⠹⣿⢾ ⣷⣻⢾⡽⣏⡾⣽⠆⢀⠂⠄⡁⠢⢀⠊⡐⢈⠐⠠⠈⠄⠡⡈⢐⠀⡂⠌⡐⢀⠂⠄⠂⢉⠐⠛⠜⢣⠳⠬⣓⢮⠱⡃⠈⠴⡉⢂⠁⣊⠰⢀⠂⡝⢮⡱⢫⡜⣣⠞⣥⢛⡬⢳⡱⢎⡵⣊⣮⣵⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⢀⢈⣿⣿⣷⣯⣖⡹⣌⢧⡀⠘⣿ ⡿⣽⢯⣿⣹⡽⣞⣇⠠⠐⠈⠄⡁⢂⡐⠄⡈⠤⢁⠡⠈⠔⠠⢁⠂⡐⠐⡀⠆⡈⠄⡁⠂⠌⠠⠈⢄⡐⣠⢀⠈⠡⢀⠁⢂⠐⡠⠒⡠⢘⠠⢀⢸⢣⡝⣣⠞⣥⢛⡴⢫⡜⣣⣽⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠠⣈⣴⣿⣿⣿⣿⣿⣿⣷⡜⣦⢳⠀⡘ ⣿⣹⢻⡶⣻⣼⢳⣏⠀⠄⡁⠂⠐⠠⠐⣀⠂⠔⡀⢂⠡⢈⡐⠀⠆⡈⡐⠀⠆⡐⠐⡈⠐⡈⠄⣩⠒⢬⡐⢎⠀⠡⠌⡘⠠⠐⡀⠑⡀⠃⡀⢢⢏⠶⣙⢦⡛⡴⢫⣜⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⣬⣶⣿⣿⣿⣿⣿⡿⢟⡛⡛⢿⣶⡍⢧⠀ ⡷⣭⢷⡻⣵⣫⢟⣮⢇⠀⡐⠈⠠⠁⢂⠀⠌⠐⡀⢂⠐⠠⢀⠁⢂⠐⠠⠁⠂⠄⢁⠠⠁⠠⠀⢥⠚⡰⢈⠠⢈⡐⠈⠄⣁⢢⡑⠦⣤⠱⣜⢣⢎⡳⣍⠶⣹⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠄⠛⠋⠛⠙⠋⠛⠙⢋⢖⣷⣾⣿⢆⢺⣿⡸⠀ ⢿⡜⣧⢟⣧⢟⣯⢞⣯⢆⠀⠌⠐⡀⠂⢈⠀⠂⠄⠠⠈⠄⠂⢈⠠⠀⠡⢀⠁⠂⠄⠂⠌⠠⠁⠂⡝⠰⡁⢢⠡⠄⠃⡐⡌⢦⣙⠳⣌⠗⣎⢧⣋⠶⣩⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣥⣬⣴⣤⣥⣦⣴⣤⣥⣮⣘⠫⣍⣱⣮⣿⣿⣇⠃ ⣟⡼⣫⣞⢮⡟⣮⠿⣼⢯⡷⣬⣀⠄⠁⢂⠈⡐⠈⡀⠂⠄⡁⠂⠠⢁⠂⠄⡈⠔⡈⢐⠈⠄⡁⢂⠈⢡⠐⡁⠆⣉⠐⢠⡙⢦⣍⠳⣎⠽⣘⢦⣹⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⣉⠉⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠺⣵⢳⡝⣮⣽⣳⢿⡽⣯⣟⢷⣫⢟⡷⣶⣲⣤⡥⠄⡁⢂⣠⡅⢉⠻⣦⡔⢀⠂⡐⠂⠌⡐⢀⠂⠌⡀⠌⢀⠃⠠⢐⢢⡙⠶⣌⠗⣎⠳⣍⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠒⢋⣁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁ ⠀⠌⢻⡼⣳⢯⣟⣯⣟⡷⣯⣻⢼⣛⡾⣵⠳⠉⢀⣰⡴⣯⢷⡀⢂⢐⣯⣞⡆⠐⠠⢁⠂⡐⢈⠐⣴⣴⣬⣀⡂⠁⣎⠶⣩⡓⢮⡹⣌⢻⣾⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠉⡁⢈⠈⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠀ ⠐⡀⠂⠹⢧⡻⣜⣳⢯⡟⣧⢯⣛⡮⠗⠁⢠⡼⣞⣧⢟⣞⡧⣟⣞⡻⡶⡽⣆⠡⠈⠄⢂⠁⢂⣼⣿⣿⣿⣿⡇⠀⣏⠞⣥⢛⢦⡓⣎⣿⣿⠿⠛⠋⠉⢁⠀⠠⢀⡐⠈⡐⣸⣿⣿⣿⣿⣿⣿⡿⠟⠉⢀⠄⡊⠔⣁⢊⠘⠠⠁⢉⠈⠉⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡧⠀ ⠐⠠⢁⠂⠩⣗⢯⡞⣧⠿⣭⢷⠋⠁⠄⢼⡏⢁⠡⠀⠌⡾⣝⡾⣭⢷⡻⣕⠫⠿⢀⠘⠠⠈⣴⣿⣿⣿⣿⣿⡇⠀⣏⠞⡴⣋⠶⡹⣼⣿⡀⢠⣐⣨⣴⣶⣾⣿⠟⠀⣐⣴⣿⣿⣿⣿⣿⣿⡟⠁⢠⠊⠔⣨⢐⡡⢂⠂⠌⣴⣿⣿⣿⣿⣿⣦⣄⠈⠻⣿⣿⣿⣿⣿⣿⣿⣟⣾⠁⡀ ⠐⠠⢈⠐⡀⠹⣎⢷⡹⢶⡹⠎⠐⠠⠐⡈⢷⣬⣀⣢⢴⡳⣏⡷⡽⢮⢗⣻⠦⠀⠌⡐⢀⠂⣿⣿⣿⣿⣿⣿⡇⠠⣙⠶⣡⠻⣔⡣⣿⣿⣷⣾⣿⣿⣿⣿⡿⠋⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡇⠐⡈⠐⠠⠉⢈⠃⠎⠠⣰⣿⣿⣿⣿⣿⣿⣿⣿⣆⠠⠹⣿⣿⣿⣿⣿⢿⣽⠏⠀⣡ ⢈⠐⠠⠂⠄⡁⢹⣎⡟⡧⠁⡐⠈⠄⠡⠐⠠⠙⠽⢣⡿⡹⠝⠚⠽⣳⠆⡈⠐⡈⠐⡀⠆⣼⣿⣿⣿⣿⣿⣿⡇⢀⠹⣎⠵⣋⠶⡱⣿⣿⣿⣿⡿⠿⢿⠟⠀⢄⣵⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠠⣤⣷⣿⣷⣦⡌⠠⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠘⢿⣿⣿⢯⣿⠏⠀⣰⣿ ⠠⠈⢄⠁⡂⠐⡈⢾⠉⢀⠐⠠⢁⠊⠄⡑⢂⠁⠂⠄⡐⠠⢈⠐⠄⣀⠂⠄⢡⠀⢃⠐⣠⣿⣿⣿⣿⣿⣿⣿⠁⡀⠂⡝⢮⡱⢫⡕⣿⣿⡟⣡⣼⣷⣌⠦⣼⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⢠⣿⣿⣿⣿⣿⣿⣿⣆⠐⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠈⢿⣯⡿⠁⢠⣼⡿⣽ ⠠⢁⠂⡐⢈⠐⠠⢈⠐⠠⠈⠔⠠⢈⠐⡀⠂⠌⡁⠂⠄⡁⠂⠌⡐⢠⣈⣴⣤⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⣰⡁⠈⢧⡙⢧⡚⡼⣿⡇⠼⣿⡿⢟⡰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠘⠉⡀⠤⣿⣯⢿⣻ ⠐⡀⢂⠁⠂⠌⡐⠠⠈⠄⠃⠌⡐⠠⠁⠤⠑⡀⢂⣉⣰⣤⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣴⣿⣷⡈⠀⢏⢧⡙⣖⢻⣿⣧⣶⣼⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠈⠰⢤⡐⠈⠙⢿⣿ ⠐⡀⢂⠡⠌⡐⢀⠂⠡⠈⠔⠂⠄⠡⣈⣤⣵⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠻⣿⣿⣿⣿⣿⣿⣄⠈⠒⡹⢌⠧⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡘⢦⡘⡱⣈⠀⡙ ⠐⡀⠢⠐⠠⠐⠠⢈⠐⠡⢈⠐⣬⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⢀⡴⠊⣠⣿⣿⣿⣿⣿⣿⣿⣷⣀⠄⠉⢎⡱⡘⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠈⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣄⠠⠀⠧⡱⢌⡳⡄ ⠐⠠⠁⠌⠠⢁⠂⡐⢈⡐⢀⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣢⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣌⡀⠄⠙⠢⢍⠳⢿⡾⣽⣯⢿⣽⣻⣽⢿⣽⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢈⠄⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣄⠠⠑⣏⠶⣙ ⠀⠂⡁⠄⠡⢀⠂⡐⠠⠐⡀⣿⣿⣿⠿⠿⠛⠛⠉⠉⡀⠄⢀⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⢀⣿⣿⣿⣿⣿⣷⡦⢁⠠⠉⠐⡈⠙⠚⠿⠯⠿⠽⠻⠞⠃⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡞⢀⢸⣧⠀⠹⣿⣿⣿⣿⣿⣿⣿⣷⡿⣽⣻⣧⡀⠌⢳⡍ ⠀⡁⠠⠐⡀⢂⠐⠠⢁⠒⢰⣿⣋⢀⣄⣢⡔⠈⠠⠁⠄⡈⠄⠠⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⢐⣾⣿⣿⣿⠿⠋⢁⢀⣂⠴⣈⠖⡤⢡⠆⡤⣀⢄⡐⣠⢠⡁⠄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡇⠀⢻⡿⣷⡄⠘⠻⣿⣿⣿⣿⣿⣿⣽⡿⣽⣻⣷⠀⠂⢹ ⠀⠄⡁⠐⠠⠀⠌⡐⠠⢈⢸⣿⣿⣿⣿⣧⣠⣬⠀⡁⠂⠄⡈⠄⠡⠐⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⢁⣰⣾⣿⠟⠋⠀⢄⡰⢦⢫⡜⣳⣬⡾⣴⣧⡞⡰⢡⠎⡴⢡⠆⡥⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣀⠐⢨⣿⢯⣿⣦⣥⣿⢿⣿⣿⣿⣿⣿⣽⣟⣷⢿⡇⠈⡀ ⢶⡲⣖⣻⠀⢁⠂⠤⢁⠂⠸⣿⣿⣿⣿⣿⣿⣿⣷⣤⠁⠂⠄⡈⠐⡈⠐⣸⣿⣿⣿⣿⣇⣀⠉⠉⠉⣀⣀⣤⣶⣿⣿⠟⠁⢠⡌⡞⣥⢛⡬⢳⡜⣭⢣⣓⡶⣴⣢⣑⢣⠚⡔⢣⠚⡴⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣻⠀⢢⣿⢿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣟⣇⠠⢀ ⡷⣹⢎⡷⡌⠀⠌⡐⠠⢈⠐⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣔⣀⡡⣀⣥⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠌⡳⣜⡱⢎⡳⣜⣧⡾⡞⢿⡹⡹⢥⣋⠗⣮⠱⣌⢣⡙⠄⡐⠸⣯⣿⣿⣿⣿⣿⣿⣿⣻⡾⡿⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠰ ⡽⣣⢟⣼⢣⠈⠐⠠⢁⠂⠌⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠠⠑⢮⡱⣋⠖⣏⢧⠳⠙⢂⠁⠡⠁⡈⠙⢦⢛⡬⢣⠍⢀⣔⢀⣿⣿⣿⣿⣿⣿⣿⣟⣷⢿⣇⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠑ ⣽⢣⡟⣼⢫⡆⠁⢂⡐⢈⠐⠠⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⠫⢭⡉⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠠⠑⠭⠚⡈⠄⣐⣬⣶⣾⣿⣿⣿⣦⠀⠙⡜⠁⣠⣾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⣟⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⢢ ⡞⣧⢻⡵⣫⢞⡄⠂⡐⠠⢈⠄⠡⠙⣿⣿⣿⣿⣿⣿⠟⡡⢎⡙⢦⡙⢆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣿⠷⠆⢀⣡⣴⣿⣿⣿⣿⣿⣿⣿⣿⣯⡇⠐⢀⣶⡉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠈⣼ ⡽⣎⡷⣹⡷⣯⢞⣄⠠⠁⠂⠌⠠⠁⠌⢻⣿⣿⣿⡏⡜⡱⢊⡜⢢⣙⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣿⣽⣻⠿⠍⢁⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡇⠀⣿⣿⠨⣽⡣⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⢀⣿ ⣿⣽⣻⣽⣻⢧⡻⣜⣣⡄⠡⠈⠄⠡⠈⠄⡘⠻⣿⣿⣶⣥⣯⣼⡿⠿⠛⠛⠋⠉⠉⢁⠠⢀⠠⠀⠄⠉⢈⠉⠙⠛⠺⠋⢁⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡳⢀⣸⣿⡟⣡⣿⢡⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣼⣻ ⣞⡳⢟⡾⣽⢣⡟⣼⣓⡞⣦⣁⠐⠠⢁⠠⢀⠐⠀⠙⠻⠛⠉⢁⠠⠐⡈⠐⡈⠄⡁⢂⠐⡀⢂⠡⢈⠐⠠⢈⠐⠠⢁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⡾⠁⣰⣿⡿⠱⣼⡏⢦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣰⣯⣟ ⢮⠽⣹⠼⣥⢻⣜⡳⣼⢹⡲⢭⣛⠶⣤⣀⡂⠈⠄⠡⠐⠠⢁⠂⠄⠡⠠⢁⠰⠐⡈⠄⢂⠰⢀⠂⠂⠌⢁⠠⠈⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣽⡟⠋⢀⣴⡿⢏⣒⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⣺⡽⣾⣹ ⣏⠆⠀⠄⡀⠄⠀⡁⠁⢃⠛⠵⣋⠾⡥⠃⠁⠌⠠⠁⠌⡐⠠⠈⠄⢃⠐⠂⠄⠡⠐⡈⠄⠂⠤⠈⡁⢈⠠⢀⣽⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠞⠋⢁⢠⣴⣾⢿⣴⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⢀⣼⡳⣟⡵⣯
⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠁⠉⠐⠒⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⢀⣠⠄⠠⣀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠢⣄⡀⠀⠀⠀⠀⠀⠈⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⣠⣶⡾⠋⢠⣶⠶⣾⣿⡖⢦⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⣄⠀⠀⠀⠀⠀⠹⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⢸⢋⣿⠟⠁⠀⠈⢿⣿⣴⣿⣿⡆⡻ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⢀⠤⠒⠷⣦⣀⣀⣀⣀⣈⣿⣦⠀⠀⠀⠀⠀⠀⠀⠈⣿⠛⣦⠀⠀⠀⠀⠉⠛⢻⣿⣡⠇ ⠑⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠉⠀⠈⢱⡇⠀⠀⠀⠘⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣼⠿⣤⣀⣀⣀⣠⡴⡿⠇⠈⠆ ⠀⠀⠉⠓⠢⠤⣄⣀⡀⠀⠀⠀⢧⡀⠀⡴⠋⠉⠉⢢⡤⠼⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡏⠀⡽⢲⣦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⣟⣻⡉⠒⡾⠉⠈⠓⠤⣀⠤⠊⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⠉⠀⠀⠀⡀⠀⠀⢀⡴ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⣠⠳⢄⡀⠀⣀⠞⠦⠤⠤⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⣀⣀⣤⣶⣿⡃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠃⠀⠀⠉⠉⠁⠀⠀⠀⠀⣀⠤⠐⠒⠂⠈⠉⠉⠉⠉⠑⠒⠢⢤⣀⠀⠀⠀⠀⠀⠹⣍⣹⡿⠿⠟⠋⢉⡠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠇⠀⠀⠀⠀⠀⠀⠀⣠⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢤⡀⠀⠀⠀⢹⠀⠠⠤⠒⠊⠁⠀ ⠀⠀⠀⠀⠀⠀⣠⡄⣺⡟⠀⠀⠀⠀⠀⠀⣠⠞⠁⣀⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣄⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣿⡟⡇⠀⠀⠀⠀⠀⡸⠃⢀⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣦⡈⢆⠀⠀⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠁⠀⡇⠀⠀⠀⠀⢰⠃⠀⣼⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⢸⣿⣿⣿⣷⠘⡄⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⡎⠀⠀⠹⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠸⣿⣿⣿⡿⠀⡇⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠠⡇⠀⠀⠀⠈⠙⠋⠁⠀⠀⠀⠀⠀⢀⡴⠶⢤⣤⡀⠀⠀⠀⠈⠛⠛⠁⠀⡇⣸⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠔⠒⠁⠒⠦⣙⢦⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠄⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⣼⣠⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠈⠙⠷⣦⣱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⣰⠟⠀⠀⠀⠀⠀⠀⢀⣼⠟⠓⢤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⢷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⢀⣠⠖⠋⠁⠀⠀⠀⢡⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡀⠉⠑⠒⠠⢤⣤⣄⣀⡀⠀⣀⣠⠤⠤⠒⠒⡻⠁⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠓⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣄⠀⠀⠀⠀⠀⡽⠋⠀⠀⠈⢧⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⢀⠴⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⠲⠴⠒⠁⠉⠱⡒⠒⠠⢤⠤⠀⠀⠈⠳⠤⠤⠴⠊⠀⠀⠀⠀⠀⠈⢦⣀⡴⡇⠀⠀⣀⡀⠤⠚⠁⠀⠈⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠴⠒⠦⠄⠀⠀⠳⣄⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏⠉⣯⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀ ⠀⠀⠀⠀⠀⠐⠒⠒⠒⠚⠉⠀⠀⠈⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠹⡖⠭⢿⣟⣿⠶⠗⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠑⠤⣄⣀⣀⣀⣀⠀⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⡿⠛⠳⠦⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⢀⣠⡤⠤⣤⣶⠒⣒⣲⢶⣿⣉⣀⡀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⢀⣴⠟⢁⣀⢰⠏⣭⠿⣭⠉⢷⡁⠀⠀⠉⠳⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣴⠉⢉⠿⢍⠀⠹⣿⣷⣤⢞⣠⣯⡇⠀⠀⠀⠀⠈⠀⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢿⡏⠀⠙⠒⠊⠀⣀⡼⠛⠻⠾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣞⣡⠄⠉⠉⠙⠦⣀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡤⠴⠒⠒⠊⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⠃⠀⠀⠀⠀⠀⠀⠀⢀⡴⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢸ ⠈⠧⣄⣀⣀⣀⡤⠔⠊⠁⠀⠀⠀⢰⣄⣀⣀⣰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⢀⣠⠤⠀⠉ ⠀⢀⣠⠾⠋⣿⠀⠀⠀⠀⢉⡽⠋⣁⡀⠀⠈⠀⠑⠦⣄⣀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⡔⠋⠀⠀⠀⠀ ⡴⠛⠁⠀⠀⣿⡀⠀⠀⠒⢻⢠⣾⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠙⠲⠤⢤⡤⠀⠀⠀⠀⠀⢀⠀⠀⢸⢰⡇⠀⠣⣄⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⡇⠀⠀⣠⠏⢸⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠳⡀⠀⠀⠀⠀⢸⠀⠀⠈⣿⠀⠀⠀⠀⣽⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢳⡀⠈⡽⠀⠀⠙⠛⠁⠀⠀⠰⡆⠀⠀⠀⠀⣾⣿⣿⣷⠀⢸⡖⠦⠀⠀⢸⠀⠀⠀⠘⣆⠀⠀⠀⠸⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣙⣿⡳⣄⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⣿⣿⣿⡿⠀⢠⡇⠀⠀⠀⠘⡆⠀⠀⠀⠈⢧⠀⠀⠀⡇⠀⢰ ⠀⠀⠀⠀⠀⢰⠎⡟⠉⠉⠙⠳⣄⡀⠀⠀⠀⠉⠃⠀⠀⠀⠀⠈⠛⠋⠁⢰⠃⠘⠀⠀⠀⠀⢙⣆⠀⠀⢀⣼⠀⠀⠀⣇⠀⣬ ⠀⠀⠀⠀⠀⠘⢾⡀⠀⠀⢀⡞⠀⠉⠲⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⣠⡴⠋⠈⠓⠒⠛⠉⠀⠀⠀⠘⠦⡈ ⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⢸⠀⠀⠀⠀⠀⠈⠉⠑⠒⠶⠤⠤⠤⠤⠴⢿⣀⣀⣤⡤⠴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣄⠀⠀⠀⠀⠀⢠⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⣄⣀⣤⠎⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⣄⣈⠓⢶⣄⣀⣳⣄⡀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⠿⢧⣶⣿⣿⡷⠤⣀⣀⣀⡼⠶⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⡟⠛⠦⠴⢚⣉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⢀⠀⢀⢤⣶⣿⣿⠿⢿⣮⡂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⣿⡿⢿⡿⣿⣾⣿⡿⠛⠁⠀⠀⠀⢻⣷⠆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣿⡿⣿⣿⣶⣶⣤⣄⣤⣴⣶⣾⣿⣿⣿⣿⣿⢯⣽⡳⣯⣽⣻⣿⣦⣀⡀⠀⢀⣀⣼⣿⣟⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡏⠀⠀⠀⠀⠉⠉⠛⠛⠛⠋⠉⠁⠀⠀⠀⣿⣿⣯⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⢻⣿⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣷⢯⡞⣿⣿⣾⣿⡟⣮⡗⣯⢿⣿⣷⡿⡼⣏⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣧⢟⣧⣿⣿⣿⣽⣳⡽⣫⣿⣿⣿⣿⡽⣽⣾⡿⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣧⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⠟⠛⠉⠙⠻⠿⠿⣿⣿⣟⢯⡷⣽⣿⣿⣁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⢿⠿⠟⠋⢿⣷⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣘⣿⣮⣤⣤⣤⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⣿⡏⠉⠉⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⡀⠀⠀⠀⠀⢀⣀⣿⣷⣂⣤⣤⠀ ⠀⠀⠀⠀⢀⣠⣤⣶⣿⣿⣶⣶⡦⠀⠀⠀⠀⣼⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠟⠉⠀⠈⠀⠀⠀⠀⠀⠈⢉⣿⣏⠋⠉⠑⠀ ⠀⠀⠀⠀⠘⠛⠉⠉⠉⢿⣧⡀⠀⠀⣀⣀⠀⠹⣿⡟⠀⠀⠀⠀⠀⠀⢰⡾⠿⢷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣾⣿⣤⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣿⡿⣿⣿⡿⢿⣷⡀⣿⣿⣿⣿⣿⣷⠀⠀⣸⣿⡾⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿⠿⠿⣿⡿⡆⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⡿⠋⠀⠀⠀⠀⠀⣠⣿⠟⣻⣿⣿⣿⣿⡟⠛⠛⠛⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⡟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢼⣿⠀⠀⠀⠀⠀⠀⢠⣿⣧⣾⡿⣿⣯⣿⣿⣿⣷⣤⣤⣤⣿⣇⣀⣀⣠⣤⣶⣶⣶⣦⣴⡿⡟⠏⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠻⣷⣤⣄⣠⣤⣶⡿⠋⣿⡿⣿⡟⠉⠉⢻⣿⣿⣿⠈⢸⣿⠟⠛⠛⢻⣿⡉⠀⠀⠉⠻⣿⡥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⣤⣶⡶⢿⣿⢿⡿⣿⠉⠀⠀⢿⣿⢿⣷⣤⣠⣾⣿⣿⡿⢀⣾⡿⠀⠀⠀⠈⣿⣧⠀⠀⠀⠀⣿⡇⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣴⣼⡿⠻⠃⣩⣿⡿⠃⠘⣿⣄⠀⠀⠈⠻⣿⣯⣟⣿⣽⣿⠟⠁⠸⣿⡅⠀⠀⠀⠀⢸⣿⡆⠀⢀⣴⣿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣿⡟⠁⠀⢀⣼⡿⠗⠀⠀⠀⠊⠟⠛⠻⢟⣿⣿⡿⡿⡿⢿⡿⢿⡿⣿⢿⣷⣄⡀⠀⠀⠀⣿⣿⣶⣿⣿⣯⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⣿⣧⣤⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡱⢣⡝⣣⢞⡱⣚⠴⣫⠝⡿⣿⢿⡿⣿⢿⡛⣏⢳⢺⣿⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠹⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⢧⡙⢧⡚⡵⢪⠵⣩⠞⣥⢛⡜⢦⣋⠶⡱⢎⡵⣊⢧⣋⣿⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣿⣣⣝⡲⡹⣜⢣⡛⡴⣋⠶⣭⣾⠱⣎⢳⡙⣎⠶⣩⢖⣱⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⠿⣿⣿⣿⣿⣧⣿⣤⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣇⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⣹⡏⠀⠉⠁⠀⠀⠀⠀⠀⠀⢰⣿⣝⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢚⣿⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⢯⢻⢫⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠟⣿⣶⣤⣤⣤⣤⣤⣤⣤⣾⣷⣤⣤⣤⣤⣤⣤⣶⡾⡟⠗⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠘⠛⠋⠛⠙⠛⠋⠈⠁⠙⠛⠛⠛⠛⠉⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⢠⣴⡟⠁⡀⠆⡐⢈⠌⡐⠠⢈⠂⣁⠂⡐⡇⠀⣿⣿⡇⠀⠀⠀⠘⠻⠶⠿⠋⠀⠀⢐⣿⣿⠃⡐⠀⢂⠡⢈⠐⠈⠶⣯⣴⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣦⡐⢈⠀⠌⠐⡀⠄⠡⠌⣿⣧⠀⠀⢰⠰⠀⠀⠙⣿⣿⣿⡟⠁⠀⠀⠀⠀⠉⠿⣦⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⡿⠋⢀⠂⡐⠠⢁⠢⠐⠠⢁⠂⡡⢀⠒⡀⠅⢂⢸⡿⣿⣄⠀⢀⣠⡄⠀⠀⠀⠀⠀⣸⡿⢆⠡⠠⢁⢂⡐⠠⣸⣾⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠙⢿⣶⡌⢀⠂⠄⡐⢀⠂⢼⣿⠄⠀⠸⠀⠀⠀⣼⣿⣿⠟⣦⡀⠀⠀⠀⠀⠀⠀⠈⠛⠷⢦⣀⡀⠀⠀ ⠀⠀⠀⢀⣴⠟⠀⡀⢂⠐⠠⢁⠂⡰⢉⠐⠂⠌⡐⠠⢂⠐⡈⠄⡀⠡⢈⣿⣿⣿⣿⣄⡀⠀⣀⣠⣾⡿⢃⠌⡀⠂⠄⣀⣤⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠉⢿⣦⠈⠠⠐⠠⠀⠌⣿⡇⠀⢀⠀⣄⣼⣿⣿⠏⠀⠈⠙⢷⣤⣤⡀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠦ ⠀⠀⣠⣿⠋⠀⢂⠁⢂⠌⡐⠠⠘⡀⠆⡘⠠⠁⡄⠃⢄⢂⠐⠠⠐⢠⣶⣿⣿⣿⣿⢿⣿⣿⠿⠛⡍⢀⠃⡐⠢⢁⣼⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠻⣧⡑⠈⠤⢁⠀⣿⡇⠀⠚⢀⣿⣿⣿⠋⠀⠀⠀⠀⠀⠈⠉⠙⠣⠄⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⣿⠃⢀⠐⠠⠌⢂⠐⠠⡁⢁⠢⠐⠠⢁⠂⠄⡁⠢⠀⠌⢠⣸⣾⢿⣿⡿⢹⣇⠢⡌⠐⡀⢃⠰⢀⠐⡀⢂⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⢹⣧⠁⡀⠂⠀⣿⡇⠀⢠⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡀⠀⠀⠀⠀⠀ ⢠⡟⠁⡀⠂⠌⠒⡈⠄⡘⠠⠠⢁⠂⠡⢁⠂⠌⡐⠠⠑⠨⣰⡷⠿⣧⣿⠏⠀⣿⠇⠰⠤⢁⠠⢀⠆⠈⠐⣰⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⣿⡆⠄⠁⠠⣿⡇⢠⣿⣳⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⢀⣀⠀⠀ ⡿⠁⠠⠁⡌⠠⠁⠄⢂⠐⠠⢁⠂⠌⡐⠠⢈⠐⠠⠁⣌⣳⣷⣾⣿⣿⢋⣀⠀⣿⠀⢂⠐⠠⠀⠌⢂⠁⢲⡿⠁⠀⠀⣴⣶⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠹⣱⣿⣧⣿⣳⡟⠀⡀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀ ⡗⠀⡀⢣⠠⢁⠘⡀⠂⠌⢀⠂⠌⡐⠠⢁⠂⡉⢄⣣⣶⣿⣯⣾⠟⠁⠀⠀⠀⣿⠌⠠⠌⠠⢁⠂⡄⣸⣿⠁⠀⢀⣾⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⢀⣿⣿⣿⣽⠏⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠰⠁⡀⠄⠂⠄⡈⠄⡁⠂⠄⡈⠐⡄⢁⠂⢄⢳⣼⣿⣿⣿⠟⠁⠀⠀⢀⠀⣀⣿⡇⠐⡈⠐⢢⠀⠼⣿⠇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⢀⣼⣿⢿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⢁⠐⠌⡐⠠⢈⡐⠠⢁⠂⠄⢁⠐⢤⣸⣾⣿⣻⣿⠟⢁⡀⠀⠀⠀⠀⠀⠀⣿⣷⠀⢀⠁⠂⠌⣸⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⢞⣿⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⣁⣼⣿⢫⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣷⡄⢈⡐⠠⠁⠆⠠⠁⠀⡈⢔⣢⣾⣮⣻⣷⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡄⠀⠌⡐⠃⣽⡇⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠽⠿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣷⣿⣿⣣⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠙⣷⣦⡐⠠⠁⠌⡐⢌⣂⣱⣿⣿⡿⠟⠉⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⡈⠐⠠⠀⣿⡇⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣶⣿⣟⣩⣿⣻⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠛⠿⠿⠿⠿⠿⠟⠛⠋⠁⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠁⢢⠁⢻⡇⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡀⠀⣀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠋⠁⠀⠀⠈⠙⠻⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠠⠹⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡟⠁⠀⠀⠀⠀⠀⠀⠀⠙⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⢄⠡⠀⠀⠀⠀⠻⣷⣀⠁⠹⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⣶⣦⣤⡀⠀⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄ ⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⠿⡿⡟⠛⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠉⢹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠆⠀⠀⠔⠉⠀⢱⠐⠑⢆⣀⠇⠂⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠁⠂⠁⠒⠒⠁⠀⢀⠄⠀⠀⠀⠘⢄⠀⠀⠀⠀⠀⠀⠀⢀⠄ ⠀⠀⠀⠀⠀⠀⢀⠦⠀⠀⠔⠁⠀⠁⠀⠀⠀⠀⠀⠀⠑⠂⠤⠤⠤⠐⠪⠐⠡ ⠀⠀⠀⢠⠀⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠁ ⠀⡀⢔⠁⡚⠀⠀⠀⡀⠤⠀⠒⠒⠒⠒⠂⠠⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀ ⠀⠀⢠⠀⡇⢀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠄⡀⠀⠀⠀⠀⠀⠈⡀ ⠈⠁⠒⠒⠇⣎⡀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢂⠀⠀⠀⠀⠀⠇ ⠀⠀⡀⡱⠐⡇⠙⠒⠚⠁⠀⠴⠦⠀⠀⠀⠀⢠⡄⠀⠀⢀⡀⠆⠀⠀⠀⠰⠀ ⠀⢀⠘⠩⣙⣚⣂⣀⣀⣀⡀⡠⠄⢀⠀⠀⠀⠀⠈⠛⠛⠉⠀⡘⠀⢀⡔⠁⠀ ⠀⠂⠀⠀⢀⠀⠀⠀⠀⠀⠀⠉⠁⠓⠲⢥⠆⠀⠀⠀⠀⠀⣠⣡⡴⠋⠆⠀⠀ ⠀⠙⠄⠀⢾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠀⠀⢀⡠⠤⢚⢿⣠⣤⡄⠀⠀⠀ ⠀⠀⣈⡢⣸⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡁⠀⠀⢀⡠⠔⠉⠫⠀⢠⠀⠀⠀⠀ ⠀⠠⠤⠖⠾⣷⢀⠀⠀⠀⠀⠀⠀⡠⠁⠁⠈⠉⠢⡀⠀⠀⠀⠙⠅⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⣎⣀⣀⣈⡉⠐⠉⠀⠀⠀⠀⠀⠀⠈⡢⡀⠀⠀⠀⠈⠄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠃⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⡇⡜⠢⢀⠄⠤⠊⠀⠀
⋆ ˚。⋆୨୧˚
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠛⠉⠉⠉⠉⠉⠉⠉⠉⠛⠻⠿⢶⣤⣀⡀⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣷⣌⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⣴⠀⠀⠀⠀⠀ ⠀⠀⣠⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠰⣶⣦⣿⡀⠀⢠⠀⠀ ⠀⢸⣟⠁⢉⣿⣤⣤⣤⣤⣄⣀⣀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣸⣿⡀⠀⠀⠸⠏⠙⣢⠂⡀⠀ ⠀⠈⠛⠛⢿⣿⡝⢿⠿⠛⢻⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢋⣻⣷⣤⡶⠿⠟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠿⢷⣦⣄⡀⠀⠉⢀⣵⣦ ⠀⠀⠀⠀⢸⣿⣾⣿⠇⠁⠅⠙⢿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⡾⠿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣶⣄⠀⠀⠀ ⠀⠀⠀⠀⠸⣿⡜⣿⣅⢠⡅⡄⠙⢽⢿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⠾⢶⣾⣶⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⠤⠤⠤⠤⠤⠤⣄⣀⠀⠈⠻⣷⡄⠀ ⠀⠀⠀⠀⠀⣿⣧⢿⣶⢐⣔⣇⠀⡀⠾⢽⢿⠻⠿⣿⣶⣄⣀⡀⠀⠀⠀⢠⣿⡇⣠⣴⠿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠴⠒⠋⠉⠀⠀⠀⠀⠀⠀⠀⣠⣶⡌⠙⠲⣄⠈⢿⣆ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣴⢰⣃⣀⣐⣀⣄⣸⠐⣀⣾⣿⣿⣿⡿⠿⠿⣿⣾⢿⣿⣟⣙⣀⣿⡇⠀⠀⠀⠀⣀⡤⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠿⠋⠀⠀⠀⠈⠳⣄⢿ ⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⠀⠀⣤⣿⣷⣤⣿⠿⠿⠿⠛⠀⠀⢀⡴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣟⣁⣀⣤⣄⣤⠖⠀⢲⠘⣎ ⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⢀⢉⠁⢹⣿⢡⠀⠀⠀⠀⢠⡴⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠈⠛⠛⠛⠛⠛⠛⠛⠻⠴⠶⠚⠀⢸ ⡆⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⠿⢿⣿⣿⣿⣟⠿⣿⡃⣶⠞⣿⣿⣷⣦⣤⣾⠏⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣛⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠿⠋⠁⣿⡿⠀⢸⣧⣉⣿⣿⡿⠛⠻⢿⡟⠀⠀⠀⢀⡾⠁⠀⠀⢀⣀⣀⣤⣤⡀⠀⠀⠀⠀⠉⣁⣴⣶⣶⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⣹⣿⣷⡀⠀⠀⠀⠀⣠⣾⠟⣡⣤⣤⠀⠀⠀⠀⣈⢻⣿⣿⡿⠁⠀⠀⢸⡇⠀⠀⠀⡼⠀⣴⣾⡿⠿⠛⣻⣿⠟⠁⠀⠀⠀⣰⣾⠛⠁⠀⢠⣾⠟⠛⠛⠻⢷⣤⠀⠀⠀⠀⠀⠀⢸ ⠛⢟⣿⣧⠀⠀⢀⣼⣿⣿⣦⡙⠛⠋⠀⠀⠀⢤⣩⣿⣿⣿⠃⠀⠀⠀⢸⣧⠀⠀⢀⡇⠀⠉⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀⠀⣿⡿⠷⢶⣶⣾⡇⠀⠀⠀⠀⠀⠙⣷⡄⠀⠀⠀⢠⣿ ⠀⣼⣾⣿⣇⢠⣿⣿⠻⠟⠋⠛⢷⣶⣾⣿⣶⣾⣿⣿⣿⡟⠀⠀⠀⠀⣸⣿⡀⠀⠈⡇⠀⣠⠾⢻⣿⠟⠀⠀⠀⠀⠀⢀⣾⠟⠀⠀⠀⠙⢿⡇⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⣠⡿⠃ ⠀⢿⡧⣿⣿⣿⡏⣻⡛⠒⢰⣤⣼⣿⣿⡿⠿⠛⠋⠉⠉⠀⠀⠀⠀⢀⣿⠹⣿⡄⠀⢹⡀⢿⣤⣴⠟⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠈⣿⡀⠀⠀⠀⠀⠀⠀⠘⣷⣾⣯⣀⠀ ⠀⠺⣧⣿⣿⣿⣧⣭⣥⣤⠾⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⡄⠀⠀⠙⢿⣆⡀⣳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⢹⣇⠀⠀⠀⠀⠀⠀⠀⢻⣇⠉⠻⣦ ⣤⣼⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣟⣿⠟⠁⠀⠀⠀⠈⠻⣿⣦⡙⢦⡀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⣆⠀⠀⠀⠀⠀⠀⠘⢿⣦⠀⠈ ⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⣀⣀⣤⣴⣶⣄⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⣰⡆⠀⠀⠙⠻⣷⣿⣶⣤⣀⡀⠀⠀⣀⣿⠀⠀⠀⠀⠀⠀⠀⣼⡏⢻⣦⠀⠀⠀⠀⠀⠀⠀⠹⣷⡀ ⣿⣿⣿⣿⣿⣿⣿⠀⠺⠛⣻⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠁⢀⣠⣶⡿⠟⢋⣭⣙⣛⠛⠛⠛⢻⣿⠀⠀⠀⠀⠀⠀⠀⣽⣧⠀⠙⣷⡄⠀⠀⠀⠀⠀⠀⠸⣷ ⠿⠛⢻⣿⣿⣿⣿⠀⠀⠀⠉⠉⠻⣿⣿⣿⣿⣿⠀⠀⠀⢰⣤⣤⣤⡶⠿⠋⢀⣴⡿⠛⠁⠀⢀⣀⡤⠤⢿⡄⠀⠀⠐⣿⡀⠀⠀⠀⠀⠀⠀⠉⣿⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠈⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠈⠙⠿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣏⠀⠀⢰⠚⣉⡤⢴⣖⡒⠁⠀⠐⢶⣿⣇⠀⠀⠀⠀⠀⠀⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠀⢻⣿⡿⠟⣿⡄⠀⠀⠀⠀⠀⠀⣠⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⣄⢀⣯⣷⠿⠛⠋⠻⣷⡄⣴⡿⠿⠋⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠀⠈⢿⣿⣶⣿⣿⣄⠀⠀⠀⡴⠋⠁⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣩⣿⠟⠋⠀⠀⠀⠀⠀⢸⣿⠟⣶⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠀⠀⠈⠻⣿⣿⣿⣟⣦⡀⠀⠷⠤⠶⠋⣀⣀⣠⣤⣤⣤⣤⣤⣤⣀⣀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⣸⡏⠀⡟⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏ ⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣷⣦⣶⣾⣿⣿⣿⡟⢻⣿⣿⣿⣯⣽⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⢀⣼⢣⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡿⠀ ⠀⣤⣤⣤⣤⣤⣀⡀⠀⣈⣹⣿⣿⣿⣿⢓⣀⣛⣛⣃⢀⢻⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⠋⡰⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡤⠤⠤⠤⠤⠤⠤⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⢀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡤⠿⢄⣀⣀⡨⣂⣧⠀⠀⢣⣀⠀⠀⠀⢀⡀⢀⠀⡄⠤⢌⣧⠀⠀⠀ ⠀⠀⠀⠀⠐⣏⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠒⠉⠙⠲⢤⣄⣻⣮⢳⣷⠀⠀⢻⠆⠀⠀ ⠀⡀⢠⡤⠀⣿⠀⢀⣄⡀⠀⠁⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣻⠿⠁⠀⣸⣇⠀⠀ ⠰⢁⣾⠁⠀⢿⣤⣤⣽⣧⣄⣀⣀⣀⣤⣥⣐⠀⠀⠘⠋⠀⡀⠀⣄⣀⣤⡴⠁⣿⠀⠀ ⢰⢸⡇⣤⢠⣾⣿⣿⣠⡵⠟⣿⣍⠉⠉⠉⠉⠉⠛⠻⠿⣿⣇⠀⠀⠈⠁⠀⠀⣿⢀⠀ ⠸⢸⣷⣿⣿⣿⣿⣿⡟⠀⢲⣿⣿⠗⠀⠀⠀⠀⠀⠀⣀⣈⠹⣿⣷⣶⣤⡾⠚⠋⢸⡇ ⠀⠐⠈⠛⣿⠟⣿⣿⣧⣲⣂⣉⠁⠀⣤⣄⣒⣀⠀⠺⣿⡿⠄⢘⣿⣻⣿⣾⣇⠀⣾⡇ ⠀⠀⠀⠀⡀⠀⠡⠸⢹⣿⠿⠦⣤⣄⣬⣻⡿⣋⣠⣆⣬⣈⠐⣸⣿⣿⡽⣿⣿⣿⣿⡇ ⠀⠀⠀⠀⠐⣀⠐⠀⣼⣋⣀⡴⣀⠀⠀⠉⠉⠛⠛⠻⠛⣿⡿⢿⠷⠟⠙⠬⠛⠋⠩⠁ ⠀⠀⠀⠀⠀⠀⠰⠀⠸⣷⠯⠆⠀⠀⠀⠀⠀⠀⠁⠀⠄⠙⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠉⠶⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣗⣒⣶⣤⣤⣤⣤⣤⣄⣒⣶⣿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⣀⠀⢀⣀⣿⣅⡈⠀⣈⣡⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠈⠉⠉⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡤⠚⠉⠀⠀⠀⠉⢳⡀⠀⠀⣀⡤⠴⠶⠦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⡽⢿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣄⡀⠀⠀ ⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⣼⠋⠀⠀⠀⠀⠀⠉⠻⣦⡀⠀⠀⠀⠀⠀⠀⢀⣾⡟⢡⡾⣿⢷⣾⡿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⣿⣿⣟⣿⡆⠀ ⠀⣴⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣆⠀⠀⠀⠀⣠⣿⣿⠧⠯⠟⠃⡇⣟⣇⣿⣿⣆⠀⠀⠀⢀⣠⣴⣶⣿⣿⣿⣿⣤⣤⣿⠇⠀ ⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠈⣯⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠙⣧⠀⠀⣰⣿⢏⣿⣴⣿⣹⣷⣷⣿⣿⣧⣿⡏⣠⣴⣾⣿⢛⣿⣻⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⢹⡆⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⢹⣇⢠⣿⣿⣧⣿⣿⣿⣿⣿⣶⣿⣏⣽⡟⣼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀ ⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀⢿⡀⠀⠀⠹⡄⠀⠀⠀⠀⠀⢠⡿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⡿⣦⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⠀⢸⡇⠀⢀⡴⠒⢦⣀⣠⠿⠗⠛⠛⠛⠛⠓⠲⠦⣄⡘⠦⣀⣀⣀⣴⠟⠁⠀⠙⣿⣿⣿⣿⣿⡿⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣏⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀ ⠀⠘⣷⠀⢈⡷⣴⠚⣇⣨⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢶⣿⠉⠁⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣴⡆⠠⣶⢘⣿⣿⣦⣿⢁⣸⣿⣿⣿⣿⣿⡟⣿⣇⣀⣼⣿⠀⠀ ⠀⠀⢹⣇⠸⣄⣈⣟⠉⣹⠀⣀⣤⣴⠶⠶⠶⠶⢦⣤⣀⠀⠙⣦⠀⠀⠀⠀⠀⠀⢀⣾⠟⠙⠻⣷⣴⣴⣴⣿⡿⠿⢿⣿⣷⣵⠉⢏⣯⣿⣽⣷⣿⣿⣷⡿⠋⠀⠀ ⠀⠀⠀⣻⠎⠀⠀⠈⣩⣷⠟⠋⠁⠀⠀⠀⠀⠀⠀⠈⠙⢷⣦⠸⣧⠀⠀⠀⠀⠀⢸⡏⡀⠀⠀⠀⠉⠋⠉⠀⠀⠀⠀⠀⠙⢿⣄⠆⠘⠟⢿⡟⣿⡍⠁⠀⠀⠀⠀ ⠀⠀⣺⠏⠀⠀⢀⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡙⢧⢻⠀⠀⠀⠀⠀⢸⡇⢿⣶⣤⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⠘⣿⣿⣻⠀⠐⠛⢸⡇⠀⠀⠀⠀⠀ ⠀⠀⣿⠀⠀⠀⣸⠃⠀⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠁⠸⣿⢀⣀⡞⢹⡆⡿⣃⣸⣿⡿⠀⠀⠀⠀⠀⢿⣿⣿⣿⠛⠀⢹⣷⠇⠄⢀⣢⣿⠃⠀⠀⠀⠀⠀ ⠀⠀⣿⡄⠀⠀⣿⠀⠈⠹⣿⣿⡇⠀⠀⠀⠀⠀⠀⠘⣿⣿⠀⠒⣿⠘⠲⠽⣿⡀⢧⡴⠃⠙⠁⣴⣲⡄⠀⠀⠘⢿⣿⠟⠤⡄⣸⣿⡀⣤⣾⡿⠃⠰⣿⠹⠶⢳⡆ ⠀⠀⠘⣷⡄⠀⣿⠀⣔⠒⢙⠿⠇⠀⠀⠀⢰⣚⡶⠀⠀⠀⢉⣵⠏⣀⣠⠶⣟⣻⣶⣿⣦⣤⣠⡬⠭⢴⡏⠀⠀⠀⠈⠓⠒⣷⣿⣿⣿⠿⠋⠀⠀⠀⠈⠻⠶⠛⠁ ⠀⠀⠀⠈⠙⢦⣜⣧⡈⠉⠉⠀⠀⠀⠀⠀⠀⠈⢻⣭⣍⣓⢿⣏⢰⢫⡴⠶⣭⡥⣤⡙⣿⢟⣵⣾⣿⣯⣽⣄⣀⣀⣀⣴⣿⣿⣿⣿⣿⣦⣄⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⣠⣤⣄⣤⡤⣌⠙⢛⡷⠲⠦⠤⠤⠤⢤⡤⠴⠚⠛⠉⠀⣷⡘⣮⢿⣧⡤⢤⣀⣨⣧⠯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠧⠿⠀⠀⠀⠀⠀⠀ ⠀⢿⣄⠈⠁⣰⡟⠀⢸⣧⡀⠀⠀⠀⣠⡾⠻⢦⣀⣀⣀⣼⢿⣿⣧⡄⠈⠀⠈⠙⢏⣺⡇⢸⣿⠟⠓⠲⡝⣿⣿⣿⠿⠿⢿⣏⢻⡄⠀⠀⠀⣤⣤⣤⣄⣀⠀⠀⠀ ⠀⠀⠈⠛⠛⠋⠀⢠⡞⠉⢙⡷⠞⠛⠛⢦⢀⣴⠟⠛⢿⣧⠸⣧⣉⡥⠦⠀⣀⣀⣀⡇⠀⣘⡇⠀⠀⠀⢹⠈⡟⠀⠀⠀⠀⠹⣆⢿⣦⠀⠀⣿⣿⣿⣿⣿⠃⠀⠀ ⠀⠀⣀⣠⣄⣀⣠⣿⠀⡴⠋⠀⠀⠀⠀⠘⣿⠃⠀⠀⠀⢹⡆⣿⠉⣳⠂⣴⣿⠉⣹⢤⣾⡏⠀⠀⠀⢀⣾⠀⣇⠀⠀⠀⠀⠀⠛⢸⡿⣷⠀⠻⠿⢛⣿⣿⡆⠀⠀ ⢠⡟⠁⠀⠀⢈⡟⢿⠀⠀⠀⠀⠀⠀⠀⣸⠸⣧⠀⠀⠀⢸⡇⢹⡇⡞⣯⠽⣼⢦⣇⠤⢯⢷⣄⣀⣠⡾⠁⠀⠙⢦⡀⠀⠀⠀⠀⢸⡇⣿⣷⣶⣶⣾⣿⣿⡇⠀⠀ ⢸⡇⠀⠀⠀⢸⡇⠈⠣⣄⡀⠀⣀⣤⠞⠁⠀⠉⠳⣤⣠⡿⠃⠈⣿⡀⢹⡙⢹⢹⡏⢒⡾⠀⠉⠹⣇⠀⠀⠀⠀⠀⠙⠓⠶⠤⠴⠟⢁⣿⢿⣿⣿⣿⠿⠋⠀⠀⠀ ⠀⠙⠧⣤⣠⣼⣧⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠸⣧⠀⣇⢸⢸⡇⣾⠇⠀⠀⣴⠟⠀⠀⢦⡀⠀⠀⠀⠀⠀⠀⢠⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⡆⠀⠀⠀⠀⠀⣄⣀⣀⠀⠀⠀⢀⣼⠇⠀⠀⠀⠹⣧⢸⠸⠿⢰⡟⠀⣠⡾⠋⠀⠀⠀⠀⣿⣹⠆⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⢹⣧⡖⣦⣿⣰⡟⠉⠀⠀⠀⠀⠀⣤⡿⠋⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀⣸⣷⣄⠀⠀⠀⣰⡿⠀⠀⠀⠀⣰⡟⠻⠥⠽⠚⢿⣷⣄⣀⠀⢀⣀⣾⠁⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠛⠲⠤⠤⠞⠋⠀⠉⠓⠲⠚⠋⠀⠀⠀⠀⠰⣿⣼⣚⣒⣂⣄⣌⣿⡄⠉⠉⠉⠉⠙⠦⣄⣀⣀⣀⣠⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⢉⣉⠉⠉⠀⠀⠀⠀⠀⠀⣠⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢣⣀⠀⠀⠀⣀⡤⣔⡿⢏⡉⠒⠂⠀⠀⠀⢀⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡽⠓⠻⠿⠒⠋⠁⠀⠀⠙⠒⠶⠖⠒⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⢄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⠒⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠢⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⢤⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢤⡀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⠋⠀⠀⣀⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢄⠀ ⠀⠀⠀⣠⠎⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑ ⠀⠀⡼⠁⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣸⠁⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠃⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⣶⣦ ⡞⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⢠⠤⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿ ⡇⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠈⠒⠤⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿ ⡇⠀⠀⠀⠀⠀⠙⠻⠿⣿⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠚⠉⠙⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿ ⡄⠈⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⣿⠿ ⠹⡄⠈⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⢦⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠊⠀⠀⠀⠈⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠑⣄⣹⣄⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⠁⠙⢾⣧⡀⠀⠀⠀⠀⠀⠈⠢⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⠀⠀⠀⠀⠀⠀⠉⠻⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢎⠱⡈⠉⠙⠻⣟⡿⠛⠙⠻⣶⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣍⣿⣿ ⠧⢤⣤⠤⠄⡀⢣⠀⠀⠀⡝⠀⠀⠀⠀⠸⠿⠉⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣧⣘⣿⡤⠄⠠⢽⡄⠀⠀⡇⠀⠀⠀⠀⠀⠋⢹⠉⢹⡎⠙⡻⠟⠛⠛⢿⣿⣿⣿ ⡘⣿⡟⡀⠀⠀⢀⡼⠀⠀⡇⠀⠀⠀⠀⠀⣆⣸⣀⡸⣧⠊⠀⠀⠀⠀⢀⣿⣿⣿ ⡆⢸⠏⠻⠖⠲⡝⠃⠀⡤⢧⡠⠠⠀⠀⢠⠿⠯⠭⡽⠁⠀⠀⠀⠀⢀⠞⠈⠿⣿ ⣿⣼⡄⠀⠀⣤⠂⠀⡤⠲⣉⠇⠎⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⢠⠞⠀⠁⠀⠘ ⡈⡏⡃⠀⠀⠀⠀⠀⠰⠒⠑⡲⠖⠒⠤⡀⠀⠀⠀⠀⠀⠀⢀⡔⠇⠀⠀⠀⠀⠀ ⠀⠡⠁⠀⠀⠀⠀⡰⠁⣠⠞⠒⠀⠀⠒⠨⢢⡀⠀⠀⠀⠀⠀⠸⡞⠤⠀⠀⠀⠀ ⠔⠁⠀⠀⠀⠀⢠⠁⡴⠥⢤⡀⠀⠀⠀⠀⠀⠙⢄⠀⠀⠀⠀⠀⠏⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡜⡇⠀⠀⠀⠉⠀⠀⠈⠙⠲⠀⠦⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠧⡈⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠃⢀⠀⢀⡜⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠀⠀⠣⠈⠢⢈⠒⢠⢄⠀⣀⣀⡀⢴⣴⠗⠁⠀⠀⡇⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⡢⢼⠈⠘⣤⠃⠂⠀⠒⠕⠁⠀⠀⡠⢘⣀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⢠⢆⠈⡤⢃⣀⡠⠊⠀⠀⠂⣭⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠧⡿⠀⠀⠀⠀⠀⠀⠀⠀
⣻⢭⡻⣭⢏⡯⣽⡹⢿⣿⣿⣿⣿⣿⢿⣿⡿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⠁⠄⡠⢀⠄⡰⢀⢂⠰⢀⠰⠀⠆⡐⠄⠢⡀⠆⡐⠄⢂⠄⣂⠐⡄⠠⣿⣿⣿⡿⣟⣿⣻⢿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣷⣿⣾⣿⣾⣷⣽⣧⣿⣿⣿⣷⣿⢿⣯⣿⣟⣷⡿⣟⣿⣾⣟⣾⣿⣽⣏⠀⠒⡀⢂⠂⠔⢠⠂⠤⢁⠢⢁⠆⠰⠈⡔⢠⠂⠤⢁⠆⠰⢀⠂⡐⠀⣿⣿⢯⣟⡽⡾⣽⢯⣿⣿⣿⣿⡿⣿⡽⣯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠉⡉⢉⠈⡉⢉⠉⠛⠻⢿⣿⣿ ⣿⢸⡽⣺⡝⣯⣻⢯⣿⣿⣿⣿⢿⣿⡿⣯⣷⡿⣯⣿⢿⣻⣾⣟⣿⣾⣿⡇⢘⠠⠘⠠⢈⠰⠀⢌⠐⡠⠂⠤⢈⠄⡡⠐⠠⢈⠔⠠⠈⢄⠡⢂⠁⡂⢿⣿⣻⢞⣽⣻⣭⣟⣿⣿⣿⣿⣿⣿⡽⣯⢿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⡠⠈⠤⢁⠰⢀⠂⡁⠂⠌⠠⡁⠤⢈⠙ ⣯⠾⣽⢳⣽⢳⣭⢟⣮⢟⣿⣿⣟⣿⣿⣟⣷⡿⣿⣽⡿⣿⣽⣾⣿⣳⣿⡇⠠⢂⠉⠔⠂⢄⠃⡄⢂⠄⠡⠒⡀⢂⠄⡑⢂⠡⢈⠂⡉⠄⠒⠠⠁⡄⣻⣿⣽⣛⣮⢷⣛⡾⣿⣿⣿⣿⣷⣿⣻⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠁⠄⣈⠒⡀⡁⠊⠄⠢⠀⠅⢂⠡⢈⠡⠐⡠⠂⠂ ⣗⣻⡵⣻⡼⣫⣞⡽⢮⣻⠼⣿⣟⣾⣿⣿⡽⣿⣻⣽⡿⣯⣷⣿⣻⣽⣿⡇⠐⠡⣈⠂⡉⠄⢂⠰⢀⠊⠤⢁⠐⠂⠔⠠⠂⠔⠂⢌⠐⡈⠌⠄⠡⡀⣽⣿⢾⡽⣞⣯⠿⣽⣻⣿⣿⣿⣯⣿⢷⢯⣟⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡿⠏⠠⠄⢃⡐⡀⢂⠐⠠⠁⠌⡐⠉⠤⠁⠌⡀⠆⠡⠄⢡⠈ ⢯⢾⣱⢯⣳⢽⣺⡝⣯⣳⢻⣽⣿⣯⣿⣟⣿⢿⣽⣷⢿⣟⣷⣿⣻⣽⣿⡇⢘⠠⢀⠂⡡⢈⠄⠒⠠⡁⢂⠌⡈⠤⠉⠄⡡⠘⣀⠊⡐⢈⠰⢈⠡⠀⢾⣿⣯⣟⡽⣞⡿⣳⣿⣿⣿⣿⣿⡿⣯⣟⣾⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⠟⢀⠂⢡⠈⠤⠐⡀⢂⠌⠡⢉⡐⠈⢌⠠⠉⡄⠡⠘⠠⡁⠢⠐ ⣯⢟⣮⠿⣜⣯⢞⣽⢣⡿⣹⣾⢿⣯⣿⣿⢯⣿⣟⣾⢿⣯⣿⢾⣿⡽⣿⣧⠐⡐⠠⠒⡀⠆⠨⠘⠠⢁⠂⠔⡈⠄⠃⡌⠠⢁⠄⠢⢐⠈⡰⢀⠂⡁⢾⣿⣿⡾⣝⣻⡼⣷⣿⣿⣿⣿⣿⣟⡷⣻⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠃⢠⠂⡘⠠⠈⠄⠡⠐⣀⠊⠄⡡⠀⡅⠢⠐⡡⠠⢁⠊⠄⣁⠢⠁ ⣟⣾⣱⢿⡹⣎⣟⢮⡟⣼⣳⣿⣻⣿⣿⣻⣿⣻⣾⣟⣯⣷⢿⣯⣷⣿⣿⣷⠀⡄⠃⠔⡐⢈⠐⠡⠘⠠⠌⠰⠀⠎⠡⢀⠑⠂⠌⡰⠈⠄⣁⠂⡐⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠃⠄⠒⠠⠁⠌⡐⠡⠌⠠⢈⠔⠠⢁⠤⢁⠒⠠⢁⠢⠁⠌⣀⠂⡅ ⣟⢶⡻⣎⢿⣱⡞⣯⣽⣷⣿⡷⣿⣿⣿⣽⡷⣿⣳⣿⣻⢾⣿⣽⡾⣿⣾⣿⡇⠠⠑⡀⠂⠄⠃⠌⢂⠡⢈⠂⢡⠈⠔⡈⠄⡡⠂⠄⡑⠐⣀⠂⠤⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠠⢉⠈⠄⠃⢄⠑⡐⢈⡐⢈⡐⠤⢈⡐⢂⠐⡠⠈⠔⠂⠄⣉⠐⡀⢂⠰ ⡟⣞⢷⣫⠿⣼⣹⣶⣿⢿⣽⣾⣿⣿⣟⣷⣿⣻⣽⣷⣯⣿⡿⣞⣿⢿⣽⣿⣧⠂⡡⠐⡉⠄⡡⢈⠐⠄⠂⠌⠠⢈⡐⠠⠒⠠⢁⠊⠄⡡⠄⢂⠰⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏⠀⡌⠰⠠⠈⡄⠉⠄⠂⠌⠠⠐⠠⠐⡐⠠⠐⠠⢁⠐⡁⢊⠌⡐⢀⠂⡐⠠⣼ ⣿⡿⣿⢿⣟⣿⣟⡿⣽⣿⣿⣿⣿⣯⣿⣻⣾⢯⣷⣿⣳⣿⢿⣻⣯⣿⣻⢾⣿⣄⠁⢂⠐⠠⣐⣠⣌⣠⡉⠄⣁⠂⠄⡡⠌⡐⠡⢈⡐⠠⠈⠄⠒⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠠⠡⠄⡁⢂⠡⡀⠅⡘⠈⢄⡁⢃⠁⡂⠔⠡⢁⡘⠠⠌⢠⠁⢂⠐⠄⠂⠄⣱⣿ ⣿⣽⣯⣿⣾⣿⣾⣿⣿⣿⣟⣿⡿⣾⢷⡿⣽⣿⣳⣿⣽⣿⣿⣿⡿⠿⠿⢿⣿⣿⠄⠂⣼⡾⠛⠉⠉⠉⠿⣿⡄⠐⡈⠐⣀⠂⡁⠂⠤⢁⠉⠄⡁⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠡⢀⠃⡐⢂⠐⡀⠆⠠⡁⡐⢁⢂⠐⡠⠘⠠⢈⠔⠂⠄⡁⢂⠂⢌⠠⠌⣀⠃⣰⣿⡿ ⣿⣿⣿⣿⣿⡿⣿⣿⢿⣿⢯⣿⡿⣽⣿⣻⣟⣾⣽⣟⣾⣿⡿⠋⠀⠀⠀⠀⠙⠻⣷⣾⠛⠀⠀⠀⠀⠀⠀⠸⣷⠈⠄⠃⠄⠂⠌⡁⠆⠄⢊⠐⠠⣿⠿⠿⠛⠛⠛⢉⠋⡉⢉⠉⢉⠉⢉⠉⡉⠙⣿⡟⠂⡐⢀⠒⠀⠆⡐⠤⠈⠄⡡⠐⠠⠂⠌⠠⠁⠆⡁⢂⠡⠌⠐⠂⠌⡀⠆⡐⠠⣰⣿⡿⣽ ⣿⣿⢿⣻⣿⡿⣿⣟⣿⣿⣼⣿⢿⡿⣼⣟⣿⣼⣻⣟⣿⣿⠃⠀⠀⠀⠀⣀⣸⣤⣟⣀⠀⠀⠀⠀⠀⠀⠀⢠⡿⢃⠘⡘⠄⠃⠄⠠⠘⢄⠠⠘⠠⠀⠄⠠⠘⡀⢃⠄⡠⠀⠇⡘⢀⡘⠀⠄⡀⢻⡿⠀⠠⡘⢀⠘⠄⠤⠀⠄⢃⠄⡀⢃⠄⢃⠘⢃⠘⠄⠠⠄⠠⠘⠸⠘⠠⠀⢄⠠⣸⣿⣿⣻⢧ ⣿⣯⡿⣿⣽⢽⣿⣽⣳⣟⣾⣿⣻⣟⡿⣾⣻⣞⣿⡽⣿⣿⣀⠀⠀⣠⣿⠛⠉⡈⢩⡻⣷⡀⠀⠀⠀⠀⣠⡿⠃⠠⠒⠠⠈⠌⡐⡁⠊⠄⢂⠁⠆⡁⢊⠁⢂⢁⠂⡐⠠⠑⢂⠘⠠⠠⢁⠂⠴⣿⠃⡈⢂⠐⠂⠌⡐⠠⢉⠐⡈⠄⡰⢈⠐⡈⠄⡡⢈⠂⡡⢈⠡⠘⠠⡁⠡⠃⡀⣶⣿⣿⣷⣿⣿ ⣿⣳⣿⣟⣾⣻⣿⣞⣿⢯⣿⣾⣻⢾⡿⣽⣷⣻⣿⣽⣿⣿⣿⠄⢰⡟⠁⢀⠂⠠⢀⠀⣿⡇⠀⣤⣴⠾⢋⠡⢈⠡⠘⠠⢁⠒⠠⠐⠡⡈⡐⢈⡐⠐⢂⠘⡀⢂⠐⡠⠃⡈⠄⡘⠠⢁⠂⠌⠠⢁⠂⡐⡈⠌⡈⢐⠠⢁⠂⠒⡀⠒⡀⢂⠂⡐⠂⠔⠠⢁⡐⢂⡁⢊⠄⡁⢂⢡⣼⣿⣿⣿⣛⡾⣼ ⣿⢯⣷⢿⣧⣿⣷⣻⣾⣻⣯⣷⢿⣻⣽⣟⣾⣯⣷⣿⠋⠁⠀⠀⢸⣯⢄⡠⠄⠁⢠⢨⡿⠀⠀⠙⣿⡤⠂⠤⢁⠂⡁⢂⠡⠈⡄⢉⡐⠠⠐⠡⢀⠡⠂⠌⠠⢁⠂⢡⠐⠠⠁⠤⢁⠂⠌⠌⠰⠀⠆⡐⠄⢂⠁⠢⠐⡈⠤⢁⠰⠁⠌⡀⠆⠌⡐⠌⢠⠁⠰⠠⠐⢂⠐⡈⣤⣿⣿⣟⡟⣶⢏⡷⡽ ⣿⣟⣯⣿⣼⡿⣾⡽⣿⣽⡿⣞⡿⣽⣞⡿⣞⣯⣿⠃⠀⠀⠀⠀⠀⠻⢷⣭⣧⣥⡾⠟⠁⠀⠀⠀⠘⣿⣀⠒⡀⠆⠐⡀⢂⠡⠐⠂⠄⡡⠘⠠⢁⠂⢡⠘⡀⢂⠌⠠⠌⡀⢃⠐⠠⢈⠐⠌⡠⠁⠆⡐⠈⡄⠌⡐⠡⠐⡀⠆⢠⠁⠢⠐⣈⠐⠠⠌⠠⠌⣁⢂⠡⡈⢐⣼⣿⣟⡷⣺⠽⣞⢯⡞⣽ ⣿⢾⣽⠾⣽⣿⣳⣿⢷⣿⣽⣻⣽⣟⣾⣻⣽⣻⣿⡀⠀⠀⠀⠀⠀⠀⠀⣄⡡⠁⠀⠀⠀⠀⠀⠀⢀⣿⢙⠠⠐⡈⠐⡀⢂⠐⠠⢁⠂⠄⡁⢂⠡⠈⠄⠂⠄⡁⢂⠁⢂⠐⠠⢈⠐⠠⢈⠐⠠⢁⠂⠄⡡⠐⠠⠠⢁⠂⡐⠈⠄⡈⢁⠂⠄⠌⡐⢈⠰⠀⠄⠂⢄⣰⣿⣿⣟⡮⢷⣏⡟⣮⢗⣻⢼ ⣿⣻⣞⡯⣟⡷⣯⣿⢾⣟⣾⣽⣳⣯⢷⡿⣽⣷⣻⣷⣄⠀⠀⢀⣠⣴⡾⠟⢻⣧⣢⠀⠀⠀⠀⣀⣾⠋⠀⢄⣡⣀⣡⠐⡠⢈⠐⠠⢈⠐⡀⠂⠄⠡⠌⡐⢈⠐⠠⠈⠄⡈⠔⠠⢈⠰⢀⠁⢂⠄⠨⠐⡀⢁⠂⡁⢂⠐⡈⠄⠡⠐⠠⢈⠐⡐⠠⢁⠂⠌⠐⢨⣼⣿⣿⣿⢳⣏⠿⣼⡹⣎⡟⣮⢳ ⣿⣳⣯⢷⣻⣟⡷⣟⣾⣿⣳⢯⣷⢯⡿⣽⣳⣯⣿⣿⣿⣿⣿⠛⠋⡁⠠⠐⣀⠨⢝⠛⠿⠾⠛⢋⣥⣶⣿⣿⢿⡿⣟⣿⣷⣶⣬⡰⠀⠂⠄⠡⢈⠐⠠⠐⠂⠌⠠⢁⠒⠠⢈⠐⡀⠂⠄⢊⠀⢂⠁⠂⠔⡀⢂⠐⡀⠆⠐⡈⠄⡁⠒⠠⠁⠄⡁⢂⠐⣈⣼⣿⡿⣟⣾⣿⡹⣎⡿⣱⢏⡷⣹⣭⣛ ⣿⣳⡟⣾⣻⢾⣽⣯⡿⣾⣽⣻⢾⣻⣽⣻⡽⣷⣿⣻⣿⠋⢀⡐⠐⢠⠁⢂⠄⠠⠀⠌⡐⣠⣽⣾⣿⠿⣽⣞⣯⢿⡽⣾⡽⢯⡿⣿⣿⣦⣅⠂⠡⢈⠄⠡⠈⠄⡁⠂⠌⡐⢀⠢⠀⠅⡈⠄⠨⠀⠌⡐⠂⡐⠀⠆⡐⢈⠐⡀⠂⠄⡡⠈⠤⠁⡐⠠⣰⣿⡿⢯⣽⣻⢾⣿⣹⢧⡻⣝⣮⣝⡳⢮⣝ ⣿⣳⣏⡿⣽⣻⢾⡵⣿⣳⢯⣟⣯⣟⡾⣷⣻⣯⣿⡟⠁⡐⢠⠀⠅⢂⠈⠄⡈⢄⠁⣶⣾⣿⣟⡿⣺⣟⣳⣟⡾⢯⣽⣳⢟⣯⡟⣷⣫⢿⣿⣿⣥⡀⠂⠤⠁⠂⠄⡁⢂⠐⢂⠠⠁⠌⡐⠈⠄⣁⠂⠄⠡⢀⡁⢂⠐⡀⠂⢄⠡⠈⠄⡁⢂⢡⣴⠿⢻⣿⣿⣛⡾⣽⣻⣿⡞⣧⢟⡼⢶⣭⣛⠷⣎ ⣿⣳⢽⣻⡽⣯⣟⡾⣷⣻⢯⣟⣾⣽⣻⢷⣿⣿⠋⠄⠒⢀⠂⠌⡐⠠⠈⠄⢠⣶⣿⣿⣻⢞⡾⣽⣳⢯⡷⡾⣽⣻⢾⣭⣟⡾⣽⣳⢯⣟⡶⢯⣟⣿⣧⡔⡈⢁⡐⢀⠂⠌⡀⢂⠁⢂⠄⡁⠂⠄⡈⠄⡁⠂⠄⠂⠄⠡⠈⠄⠠⢁⢂⠐⡀⠛⡉⠐⡀⢻⣿⣯⡽⣞⣷⣻⣯⡳⢯⡝⡷⢮⣝⡻⣼ ⣿⣭⣟⣷⣻⢷⡯⣟⡷⣯⢿⡽⣞⡷⣯⣿⡿⠃⡐⢈⠐⠠⠈⠄⠠⢁⢂⣼⣿⣿⢻⣼⣏⣿⣽⣾⣷⠿⠷⠿⠷⠿⢷⠿⣾⣽⣷⣯⣟⡾⣽⣻⢾⣹⣟⣿⣿⣤⡀⢂⠈⠄⡐⠠⠈⠄⠂⠄⡉⠐⡀⢂⠡⠈⠄⠡⠈⡄⠡⢈⠐⡀⢂⠐⠠⠁⠄⠡⠐⡀⢻⣿⣿⣷⣯⣷⣿⣿⡳⢯⡽⣣⣏⢷⣣ ⣿⢶⣻⢾⡽⣯⢿⣽⣻⡽⣯⣟⣯⢿⣻⡿⠁⠆⠐⡀⠊⠄⠡⢈⢐⣼⣿⣿⣻⡾⠿⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⢷⣯⣷⣞⣷⢻⡿⣿⣄⡈⠄⡐⠠⠁⠌⢂⠒⠠⢁⠐⡀⢂⠡⢈⠐⠡⠐⡀⢂⠐⡀⠂⠌⠠⢁⠘⠠⢁⠐⡀⢿⣿⣿⣿⣿⢯⡿⣿⣷⣝⣳⢮⣳⢭ ⣿⣫⣟⣯⢿⣽⣻⣞⣷⣻⢷⣻⣞⣿⡿⠡⠈⠄⠡⠠⢁⠘⢀⣼⣿⣿⡿⠏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⣾⣯⣿⡽⣿⣷⣆⠀⠡⢈⠐⠠⢈⠐⡀⢂⠐⠄⠂⠄⠌⠠⢁⠐⡀⠂⠄⢡⠈⡐⠈⠄⡁⢂⠐⠠⠘⣿⣿⣿⣿⣯⢿⣽⣻⢿⣷⣯⣞⢧ ⣟⣷⣻⣞⡿⣞⣷⣻⢾⡽⣯⢷⣯⣿⠁⠆⠁⠌⠠⢁⠂⣨⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⢿⣷⣿⣿⣷⢀⠂⠌⢀⠂⡐⠠⢈⠐⡈⠐⡈⠄⡁⢂⠐⠠⢉⠐⡀⠂⠄⣁⠂⠔⡈⠄⡁⠂⢹⣿⣿⣿⣟⣞⣳⣽⢻⡾⣽⣻⣿ ⡿⣞⡷⣯⢿⡽⣾⡽⣯⣟⣽⣻⣾⢇⠂⠄⠡⢈⠐⢠⣾⣿⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣂⠈⠄⠂⠄⢁⠂⡐⠠⠁⠄⢂⠐⠠⢈⠐⡀⠂⠄⡁⠂⠄⢂⠐⡀⠂⠄⠡⠀⣿⣿⣿⣿⣿⣳⣞⣯⣽⣻⢷⣿ ⣿⣯⣿⣽⣯⣿⣷⣟⣳⡟⣾⣻⡏⠨⢀⠌⡐⠠⢸⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣆⠐⠁⡈⠠⠐⢀⠡⢈⠐⠠⢈⠐⡀⠂⠄⡁⠂⠄⠡⠈⠄⠂⠄⠡⠈⠄⢁⢸⣿⣿⣿⣿⣿⣿⣾⣷⢯⣿⣿ ⣿⣻⢿⣿⡿⣿⢿⣯⢷⣻⢷⣿⠡⢊⠠⠀⠄⣼⣿⣿⡏⠀⢀⣴⣶⣾⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣯⡀⠡⠐⢈⠀⠂⠄⡈⠐⡀⠂⠄⡁⠂⠄⠡⠈⠄⡁⢂⠡⠈⠄⡁⠂⠌⠠⣿⣿⣿⣿⣟⣿⣽⡿⣿⣿⣿ ⣷⢯⡿⣽⣻⣽⣻⢞⣯⢿⣻⡏⡄⠄⠂⢐⣼⡿⣿⡏⠀⠀⣿⡿⠟⠉⠉⠙⠻⢿⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡄⠈⠄⡈⠐⠠⢀⠡⢀⠁⠂⠄⠡⠈⠄⡁⢂⠐⠠⢀⠡⠂⠠⢁⠈⠄⢹⣿⣿⡻⣟⣿⣿⣿⣿⣿⣾ ⣯⢿⣽⣳⣟⡶⣯⣟⡾⣯⣿⠇⠇⣀⠃⣼⣿⡽⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠁⠀⠀⠀⢀⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣧⠐⠀⡁⠂⠄⠂⠄⢊⠐⡈⠄⡁⢂⠐⡀⠌⠐⡀⢂⠁⢂⠐⠠⢈⠘⣿⣷⢻⡽⣿⣻⣿⡽⣯⢿ ⣟⡿⣮⢷⡾⣽⣳⢯⣟⡷⣿⠁⡂⠀⣼⣿⢧⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣬⣽⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣷⣶⣾⣶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠹⣿⣏⡐⠠⠈⠐⠈⡐⠀⠂⠄⠂⡐⠀⠂⠄⡈⠐⡀⠂⠌⠠⢈⠐⠠⠈⣿⣿⣯⣿⣿⣿⣿⣟⣿⣻ ⣿⣽⣳⢯⣟⡷⣽⢯⣾⣽⣿⠀⡀⢿⡿⣿⡾⣽⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠙⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⢹⣿⣷⣀⠡⢈⠐⠀⠡⢈⠐⠠⢀⠡⢈⠐⠠⠁⠄⠡⢈⠐⠠⠈⠄⠂⣹⣿⣟⣯⣿⣽⣷⣿⣿⣿ ⣿⣾⣽⣿⡾⣽⢯⡿⣷⣻⣿⠄⢐⣿⣃⠿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣧⡀⠀⠀⠀⠀⠀⢿⣿⣿⣔⠀⠄⢁⠂⠄⡈⠐⡀⠂⠄⡈⠐⡈⠐⡀⠂⠌⠠⢁⠂⠐⢸⣿⡿⣽⣾⢿⣽⣾⣟⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⡆⢼⡟⣌⠲⡹⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⡿⠁⠀⠀⠀⠀⠀⢹⣯⣟⣿⡧⢈⠀⡐⠠⢀⠡⢀⠁⠂⠄⠡⢀⠡⢀⠡⢈⠐⠠⢀⠡⠐⣿⣿⢯⣿⣟⣿⣾⣻⣽ ⣿⣿⣿⣷⣿⣯⣿⡿⣽⡷⣿⣿⣾⡏⡔⢣⡑⡚⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣟⣼⣿⡆⠐⠠⢁⠀⠂⠄⠊⡐⢈⠐⡀⠂⠄⠂⠤⢈⠂⢀⠂⢘⣿⣿⣻⣿⣾⣿⣽⣿⣻ ⣿⣿⣷⣿⣿⢯⣷⣻⢯⡿⣽⡻⣿⡗⣌⠣⡜⣑⠺⣿⣯⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⢶⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣟⣮⢿⣿⡀⠅⠠⢈⠐⢈⠐⡀⢂⠐⠠⠁⠌⡐⢀⠂⠌⢀⠂⣼⣿⣿⣿⣷⣿⣿⣿⣿⣿ ⣿⣾⢳⣿⡞⣯⣷⣿⢻⣿⣷⢻⣽⣿⣦⠓⡜⣤⠓⡌⢻⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣯⡞⣽⣿⡇⢠⠁⠂⠈⡄⠂⠐⢠⠈⡄⠁⠂⠐⢠⠈⡄⢠⠀⣿⣿⣿⣿⣿⡟⣿⢻⣿⣿ ⣿⣞⡿⣾⣽⣻⢾⣽⣻⣾⢿⣷⣿⣿⢿⣶⡱⢌⠲⣉⢎⡹⢿⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⡿⣟⣼⢻⣼⣇⠃⠤⢈⠐⢀⠈⠄⠂⠐⠀⠡⢈⠠⢀⠢⠐⢀⣾⣿⣿⣿⣿⡿⣽⣻⡿⣾⣻ ⣿⣽⣻⢷⣯⣟⣯⣟⡷⣯⢷⣿⣿⠃⠀⠻⣿⣾⡱⢌⠦⣑⠣⢛⠿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⢫⣞⡽⢾⣏⠂⠐⡀⠈⠄⣈⣤⣾⠿⠛⠛⠛⠛⠛⠿⣶⣿⣿⣿⣟⣿⣿⣿⣻⢷⣿⣻⣽ ⣿⢾⣽⣻⢾⡽⣾⣹⢯⡽⢯⣿⣿⠀⠀⠀⠘⠿⣷⡾⡰⢡⡙⣌⠳⣉⠿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⣝⢯⡞⣽⣿⠃⠨⢀⣰⣴⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣻⣿⣿⣷⣻⣯⣷⢿⣻ ⣿⣻⢾⣽⣳⣟⣳⢯⡿⣽⢳⣻⢿⡆⠀⠀⠀⠀⠘⠻⢿⣦⠵⡨⠱⣌⢚⠲⣙⢻⢶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⣽⣛⣮⢿⣿⠃⢤⣱⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣷⣻⢷⣻⣿⣻ ⣿⣽⣻⢾⡵⣞⣯⢿⡽⣞⣯⢷⣻⢿⣄⠀⠀⠀⠀⠀⠀⠙⠿⣶⣓⠬⢆⠳⢌⠎⢦⡙⢛⠿⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⣟⡳⣧⣿⣼⡟⢃⣼⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣿⣿⣯⣟⣯⡿⣞⣿ ⣿⢾⡽⣯⢿⡽⣾⢯⡿⣽⣞⣯⣗⣻⣿⣆⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣮⣚⣌⠚⡴⣈⢇⡚⢤⢩⡙⣛⡻⠷⣶⣦⣤⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣿⣯⣾⡿⣿⡿⠋⣰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⡷⣯⣷⢿⣻⣽ ⣿⢯⡿⣽⣳⠿⣭⣟⣾⡳⢯⣞⡧⣿⡽⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⣯⣴⣌⠦⣙⢂⠣⡜⠤⣣⣾⠟⢡⢋⢿⣯⣛⡹⣛⠿⠿⢶⢶⡶⢶⡶⢶⠶⡶⢶⠶⡶⠾⠟⣟⡛⢫⢍⣱⣶⠟⠉⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣷⣿⣿⣟⡷⣯⡿⣿⣽ ⡿⣯⢟⡷⣯⣟⡿⣞⣷⣻⣟⣾⡻⣷⣻⣳⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠙⠛⠷⢾⣷⡼⠿⢋⣡⡾⠟⠛⠛⠻⣷⣶⣡⠚⡔⢣⢢⡙⠴⣘⢢⠓⡜⢢⡙⣌⢣⡙⢤⣪⣵⠿⠋⢀⣤⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣾⣿⣿⡾⣽⣻⣽⣷⣻ ⣿⡽⣯⢿⣼⣳⢿⣹⣞⣧⣟⣾⣹⣟⢷⡯⣟⣾⣻⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠠⠁⠂⢂⠐⠀⠆⢠⡿⠀⠀⠀⠀⠀⠘⣯⠛⣷⣬⣃⠦⣙⢢⡑⢎⡙⠬⡱⣘⣰⣦⡿⣟⣩⣴⡶⢿⡿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣟⣾⣿⡿⣿⣽⣳⣯⢿⡾⣽ ⡿⣽⣳⣟⣮⡽⣯⢷⣻⡼⣞⣧⢻⣞⣯⣽⢻⣞⡷⣯⢿⡿⣷⣦⣄⡀⠀⠀⠀⢸⡇⠠⠁⠌⢀⠐⠈⡐⠈⣿⣄⠀⠀⠀⠀⣸⡟⠀⡀⠉⠛⢷⣮⣤⣍⣦⣭⣶⣷⠿⠿⠛⠛⠉⠉⠀⣰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⢿⣟⣿⣿⣿⣷⣻⣞⡿⣿⣽ ⣿⣳⢟⣞⣧⢿⣽⣳⢯⣽⣳⣏⡿⣼⣳⣞⣿⣼⣻⡽⣾⣝⣯⣿⣿⠛⡷⣶⣤⣸⡇⠐⠈⠄⠂⠄⡁⠄⠐⠈⠛⢶⣦⡴⠾⠋⠐⡀⠄⠡⢈⠠⠀⠉⡉⠉⠉⠄⢀⠂⠠⠁⠂⡁⠌⣼⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⡿⣟⣾⣿⡿⣿⣻⣿⡿⣿⣞⡷⣯⣟⣷⣻ ⣷⡹⣞⠾⣜⡳⣞⡼⣳⢮⡗⣮⢵⣳⢳⡞⣶⢧⡷⡽⢶⣹⣾⣿⠃⣇⠲⢡⢩⢹⣿⠀⡁⠐⡀⠂⠄⠂⢈⠰⢠⣶⠶⠶⢶⣤⠂⠠⢀⠁⠠⠀⠂⢁⠐⠈⠠⢈⠠⢀⠡⠀⡁⢰⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⡿⣿⣽⣿⣽⣿⣻⣿⣿⣿⣿⣿⣿⣿⣽⣻⢷⣯⡿⣽ ⣷⡹⣎⡟⣜⡳⣝⡺⣕⢯⣞⣱⢏⣞⣳⡝⣧⣻⢼⣹⢏⣷⣿⠇⡽⢠⢃⠇⡎⡔⣿⡆⠀⠡⠐⠈⢀⠂⡀⣲⡟⠀⠀⠀⠀⠹⣿⠀⠂⠌⠀⡁⢈⠀⠄⠁⠂⢀⠂⢠⢄⣁⣶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣀⣤⡶⠟⢹⣿⣻⣛⠷⣯⣻⣝⣯⣛⣧⣻⣜⣳⣮⣳⣽⣶⣛⣾⣳⣻⣳
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⠀⠀⠀⠀⠀⠀⢠⡞⠉⢧⠀⠉⠙⠛⠻⣿⣿⡟⢿⣿⡿⠟⠻⠿⣷⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⡏⢉⣿⣿⣿ ⡀⠀⠀⠀⠀⠀⠀⠳⠄⠈⣆⠀⠀⠀⠀⠈⠻⣿⡿⠁⠀⠀⠀⠀⠈⢻⣿⣿⣿⣥⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣧⣀⣤⣤⣤⣄⣀⣀⠀⠀⢸⡀⠀⠀⠀⠀⠀⣽⠁⠀⠀⠀⠀⠀⠀⠀⣿⣟⠉⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣆⠀⢹⣿⣿⠃⠀⠀⠉⠑⢦⣇⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⠶⠶⣶⠒⠶⣶⢌⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣧⣀⣿⣿⡶⠒⠂⠀⠐⠲⣿⣇⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢹⠀⠀⢹⢼⠇⠀⢉⡿⠟⠉⠁⠈⠉⠙⢿⣿⣿⣿⣿⣿ ⠈⢿⣿⣿⡿⠁⠀⠀⠀⠀⠀⢹⢸⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⣸⠀⠀⣼⢸⣀⡴⠋⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿ ⠦⠬⣿⣿⣄⢦⡀⠀⠀⠀⢀⣞⡞⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣶⣿⣴⣶⣟⣼⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⣿⣿⣿⣿ ⣇⠀⢸⡿⡇⠻⢿⣀⣒⣊⣽⠟⠀⠀⠀⣤⠬⢷⣀⡤⠦⣄⠀⠀⠀⠀⣼⣿⣿⣤⣤⣤⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠻⠀⢸⠿⣿⣿ ⣿⣆⠀⡇⡇⠀⠀⠀⠀⡇⡉⠀⠀⠀⢸⡇⣠⠔⢯⡀⢀⡼⠀⠀⠀⠀⠉⠀⠀⠀⠀⠰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣡⠤⠄⠀⠀⠈⣿ ⢿⣾⣿⣷⡇⠀⠀⠀⢸⢹⡄⠀⠀⢰⡟⠁⠣⣀⠼⠋⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠋⠀⠀⠀⠀⠀⠀⠉ ⢸⠻⠏⠹⡄⠀⠀⠀⠈⠘⠃⠀⠀⠈⢧⡤⠔⠓⠤⣤⣎⡤⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠞⠀⡇⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⢠⠎⠀⠀⢀⡤⠚⠁⠀⠀⠀⠙⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⡇⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣷⠏⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⢀⣴⡿⠒⠊⠉⠉⠉⠉⠒⠢⢌⡳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⠓⢤⡀⠀⠀⠀⠀⠀⠀ ⠀⣠⠇⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⢦⡀⠁⠀⠀⠀⠀⠀⠀ ⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⣰⡏⠴⠒⠲⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⣰⣽⠁⠀⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠚⠒⢶⣄⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀⠸⡖⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⡇⠙⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⣯⢧⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡧⡀⠈⢦⡀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠘⡆⠀⠀⣀⣀⣀⡼⢻⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⠄⠀⠀⠀⠸⡄⠘⢦⡀⠈⠲⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⡴⣡⠖⠉⠀⠀⠈⢧⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠈⠒⢤⣀⠈⢑⣲⣦⡤⠤⠤⠀⠀⠀⠤⢾⡷⣾⠟⠁⠀⠀⠀⠀⠀⡞⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⡀⠀⡇⠈⠉⣏⠀⢹⠲⢄⣀⣀⡤⠶⢛⡞⠁⠀⠀⠀⠀⠀⣀⠞⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠉⠙⡇⠀⠀⣨⠝⢥⠀⠀⠀⠀⠀⣠⠊⠀⠀⠀⠀⣀⣤⠚⠡⠴⠶⠾⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⡷⡀⠀⠙⣤⣜⠀⠀⠀⣠⠜⠁⠀⠀⠀⠟⠉⡇⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⡇⠙⠒⠚⠁⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⢰⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠲⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢡⠀⠀⠀⠀⠀⠈⡇⠀⠀⠑⣢⠊⠰⠁⠃⠀⠀⠀⠀⠀⠈⡇⠀ ⠀⠀⢃⡀⠴⠈⠀⢱⢰⠀⢀⠜⠁⠀⡄⠀⡼⠀⠀⠀⠀⠀⠀⢰⡀ ⠀⠀⡃⢠⠊⠁⠑⠘⠌⠈⠁⠀⠀⠉⠉⠀⠐⢇⠀⠀⠀⠀⠀⢸⢡ ⠀⠀⠀⡎⠢⠤⡔⢀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⡀⠀⠀⠀⡌⠀ ⠀⠀⡐⠣⠄⠔⢁⠠⠄⠒⠀⠈⠉⠁⠐⠂⠄⡀⠀⠈⠐⠲⡈⠀⠀ ⠀⡐⠀⠀⡠⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢄⠀⠀⠰⠀⠀ ⠀⠃⠀⠌⠀⣠⣾⣷⡄⠀⠀⠀⠀⠀⠀⢠⣾⣷⣄⠀⠡⠀⠀⡇⠀ ⠐⡀⠘⠀⠰⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠸⣿⣿⡏⠀⠀⢁⠀⡇⠀ ⠀⠡⢰⠀⠀⠀⠉⠉⠀⠀⠀⠘⠓⠀⠀⠀⠈⠉⠀⠀⠀⠘⠰⠀⠀ ⠀⠀⠑⢆⠀⠀⠀⠀⣠⠶⠂⠒⠒⠒⠒⠢⡀⠀⠀⠀⢠⠗⠁⠀⠀ ⠀⠀⠀⠀⠑⠢⣀⠰⡁⠀⠀⠀⡠⠔⠒⠂⠇⢀⡠⠔⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠑⢄⠘⠍⠀⢒⢾⠀⠀⠀⠀⢈⡫⣵⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠌⠑⠠⠬⠛⠈⠢⡀⠀⠀⠈⠀⡏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡎⠀⠃⠀⢸⠀⠀⠀⠀⠀⠈⡢⠀⠀⠠⣁⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠱⠤⢀⡀⠬⠤⠀⠀⠀⠐⠁⠀⠀⠀⠀⢁⠀⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠤⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠈⠀⠀⠀⠀⡀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⠊⠀⠀⠀⠀⠄⢂⠐⡄⢄⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⣞⣻⠶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢄⠀⠀ ⠀⠀⢠⣟⡷⣯⢷⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⢀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠄⠀ ⠀⢤⣿⢾⣽⢯⡿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠒⡬⣽⡳⣆⢤⠀⠄⠀⠀⠀⠀⠀⠀⠐⡀ ⠀⣿⢯⡿⣞⣿⣽⣻⡽⣟⡷⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠃⠛⣽⣞⣯⢰⡀⠀⠀⠀⢠⢃⠄⠃ ⠐⢿⣻⣽⣟⣷⣯⢿⡽⣯⠿⠝⠋⠛⠒⠶⠶⠶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣞⡧⠃⠀⠀⠀⢈⡇⡲⠀ ⠀⠈⠙⠓⢟⠿⠕⣿⣻⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⣤⣄⣀⣀⣀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⢚⢨⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣻⡷⣿⣻⠛⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣽⢾⡿⣦⠀⠀⠀⠀⠀⢀⢠⡔⠂⠀⢠⣎⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠿⣳⠯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⢇⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⢸⡾⣅⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣦⡠⢀⠀⡀⢢⡀⠐⠃⠀⠀⠀⣀⣀⣀⠀⠀⠈⢿⣷⣤⣤⡀⠀⠀⠀⣀⣀⣠⣼⣟⡷⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠛⠃⠸⡐⢦⡘⣙⠒⠂⠀⠀⠀⠉⠙⢷⣄⡀⢨⣿⢾⡽⣟⣿⢿⣻⣽⣻⢷⣻⢾⣽⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠂⢀⣄⠀⠀⠀⠀⠁⠙⠮⢝⡞⣴⣆⣦⡰⣞⡿⣯⢿⣳⣯⣿⣻⢯⣟⣯⣟⣷⣻⢯⣟⡿⣞⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠛⠙⠻⣽⣻⣽⣿⣿⢷⠿⠻⠛⠛⣽⡾⣯⣟⣯⡿⣽⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠡⠂⠀⠈⠀⠀⠀⠀⠀⠛⢿⣷⣻⣽⣻⠭⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠉⡀⢀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠁⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠐⡠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠐⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠐⠁⠛⠂⠓⠰⠒⢦⠤⣄⠤⠤⠐⢆⢺⡹⡉⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⡈⠀⠁⠉⠉⣈⣹⣘⢛⠳⠛⢊⠫⢑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠓⠈⠋⠀⠉⠀⠉⠑⠉⠊⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠸⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡄⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⠤⠤⠼⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⠀⠀⠑⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠙⠢⢤⣀⣀⣀⣀⠠⠴⠃⠁⠀⠀⠀⡅⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀ ⠀⠀⢀⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢄⠀⠀⠀⠀ ⠀⢀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠆⠀⠀⠀ ⠀⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠄⠛⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠐⠂⠠⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀ ⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⡰⢴⣋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣱⠦⡀⠀⠀⠀⠀⠀⠀⢫⠀⠀ ⡆⠀⠀⠀⠀⠀⠀⠀⡰⠚⢦⣤⣽⣿⡿⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⢿⣿⣯⣤⡿⢧⡀⠀⠀⠀⠀⠿⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⡖⠁⠀⢀⣿⣏⣿⣄⣸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣧⣀⣿⣹⣿⠀⠀⠹⡀⠀⠀⠀⡈⠀⠀ ⡇⠀⠀⠀⠀⠀⣾⠁⠀⠀⠸⣿⣏⢨⣿⣿⡿⠀⠀⠀⠀⠀⠀⢴⠉⣰⠀⠀⠀⠀⠀⠀⠻⣿⣿⣅⣽⣿⠂⠀⠰⡟⠀⠀⠀⣾⠀⠀ ⢲⡄⠀⠀⠀⠀⡏⠀⠀⠀⠐⠪⣛⠛⠛⠋⠀⠀⠀⠀⠀⣤⣀⣀⣀⣀⣀⣠⠄⠀⠀⠀⠀⠈⠛⠛⣟⠳⠠⢄⠀⡱⠀⠀⡘⡟⠀⠀ ⠀⠣⡄⠀⠀⠀⢷⡀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢉⠉⢋⣭⠟⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢀⣰⢠⡇⠀⢠⡾⠁⠀⠀ ⠀⠈⠙⢧⣄⡀⠁⢫⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠷⠶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣨⣿⣾⡤⠋⠀⠀⠀⠀ ⠀⠀⠀⡠⠻⠛⢿⣿⣯⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⡿⠟⠋⠢⠄⠀⠀⠀⠀ ⠀⠀⠈⠀⠀⠀⠀⠀⠉⠙⠛⠿⠿⡷⠶⠦⠦⠤⠤⠤⠤⢀⣀⠀⡄⠀⠤⠤⠤⠤⠤⠴⠶⣾⣿⡛⠋⠉⠁⠀⠀⠀⠀⡀⠀⠀⠀⠀ ⠀⠀⠈⠦⣀⠀⠀⠀⠀⠀⠀⠁⠢⡀⠀⠀⠀⠀⠀⠀⠀⢠⡌⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⢄⠕⠁⠀⠀⠀⠀⢀⠠⠊⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣀⣈⡁⣒⣠⣄⠀⠀⠀⠀⠙⠢⠤⣀⡀⠀⠀⡸⠀⠀⠀⠘⡄⡀⠀⠀⡠⠴⠋⠁⡀⠀⣠⣼⢋⠁⡀⠈⠀⠈⢉⠉⡉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠃⠀⠀⠀⠀⠘⠃⠉⠁⠀⠀⠀⠀⢠⣎⣩⣴⡛⠳⢄⣘⡀⠛⣠⠜⠡⢄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⡄⠐⣿⠿⠋⠉⠉⠛⡗⠈⠩⠉⠉ ⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⡟⠀⠀⠀⠀⠀⠑⠠⠄⢀⠀ ⠀⠀⠀⠀⢄⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢄⣵⠀⠀⠀⢀⢀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡌⡟⡞⣦⠰⡏⠊⡇⠀⠀⠀⠀
𝔐𝔶 𝔪𝔢𝔩𝔬𝔡𝔶૮₍´。ᵔ ꈊ ᵔ。`₎ა
⠀⠈⢦⠀⠀⠀⠀⠀⠀⢠⡴⠒⠉⠉⠳⡀⢀⡠⢧⣀⠀⣠⡇⠀⠀⠀⠀⠙⡄⠉⠳⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠈⢣⡀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠟⠁⠀⠀⠈⠻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠲⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼ ⠀⣀⡀⠀⠻⣦⠀⠀⠘⣆⠀⠀⡴⠒⠐⠲⣄⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠲⣄⠈⠉⠓⠒⠤⠤⠤⠤⠒⠋⠀ ⠖⣦⢬⡛⠲⣼⣷⣤⠞⠉⠁⢸⠀⠀⠀⠀⢘⠀⢀⣀⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣦⡈⠙⢯⡿⢍⠙⡏⠀⠀⠀⠈⠣⣄⣀⡠⠞⠀⠈⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⡀⠀⠀⠀⠀⠀⠀⠀ ⠫⡙⢦⡀⣙⢆⠑⣾⡀⠀⠀⠀⢀⡖⠀⠀⠀⠀⠀⡰⠃⠀⠀⠀⣀⠤⠔⠒⠀⠈⠉⠉⠁⠒⠢⢄⡀⠀⠹⡄⠀⠀⠀⠀⠀⠀ ⢄⠈⠢⡙⣧⡈⢦⠘⡟⠒⠒⠒⠉⢳⣄⣀⣀⡤⠚⠁⢀⡤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⢹⣄⣀⠀⠀⠀⠀ ⠀⢳⣤⠼⢾⣧⠀⢻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣬⣆⡇⠈⠙⠒⠤⢄ ⠚⣉⠬⠷⡊⢻⡆⢸⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡿⠋⠁⠀⠈⠁⠸⣧⠀⠀⠀⠀⠀ ⡎⠁⠀⠀⠙⣾⡗⢸⠀⠀⠀⠀⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀ ⠑⣆⡠⡖⠋⢁⣣⣼⠀⠀⠀⠀⠀⠀⣠⠏⠀⢀⣤⣶⡿⠿⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀ ⠉⣀⡠⠴⠚⠉⣴⡿⢧⠀⠀⠀⠀⠀⣿⠀⣰⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⣴⠊⣷⣄⣀⠀⠀⢸⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡭⠾⢵⣤⣈⡷⠔⠛⠂⠐⠒⠂⠠⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠊⠀⠈⠉⠒⠦⣄⣀⠀⠀ ⠀⠀⠀⠀⣀⣴⠋⠀⠀⢀⠏⠁⠀⣀⣀⣀⣀⣀⣀⠀⠀⠈⢢⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠚⠳⢤⡀⠀⠀⠀⠀⠀⠀⠉⠑⠀ ⠀⠀⠀⠀⢠⣧⠀⠀⠀⢸⣤⣴⠛⠉⠀⠀⠀⠀⠉⣉⣳⣦⣼⣄⣀⣠⡤⠴⠒⠊⠉⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⡠⠤⠚⠿⢟⣦⣀⠀⠀⣧⣝⠓⠤⠤⠤⢤⡴⠯⠅⠀⠀⠉⠻⣦⠤⣀⡀⠀⠀⠀⠀⠀⣀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠛⠯⣉⠉⠳⣀⠙⠒⠲⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠦⠤⢲⠏⠹⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⢬⣱⣶⣤⣼⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠛⠀⠀⢇⠀⠙⣦⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⠏⠁⠀⠀⠉⠙⣍⡿⠿⢖⡢⢤⣤⣤⠒⠊⠀⠀⠀⠀⢸⠀⠀⢸⠀⠉⠓⠦⣄⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⢠⠋⠀⠀⠀⠙⢯⡀⠀⠉⠒⠀⠀⠀⠀⢸⠀⠀⢸⠇⠀⠀⠀⠀⠉⠓⠂
⡀⠀⠙⢾⣧⡄⠀⠀⠀⠀⠀⣁⡶⠋⠉⠀⠉⠙⢿⣄⠉⠉⠉⠛⠿⣿⡟⠉⠉⣙⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣧⣤⣶⡾⠻⣃⣀⡀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠹⣶⠄⠀⠰⣈⣁⣠⣤⣤⡤⣽⣿⣯⣹⣿⣿⣿⣷⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⢻⣞⡥⠖⠚⠛⠶⣝⢦⡀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⣸⣯⡏⠀⠀⢻⡆⡆⢸⡏⣿⣿⣿⠿⠋⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿ ⣾⡏⠀⠀⠀⠀⠀⠈⣇⠱⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⣹⣿⡇⠀⠀⢸⡇⡇⠀⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿ ⣾⠁⠀⠀⠀⠀⠀⠀⡼⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡿⢹⣷⣿⣄⣀⣼⣇⡀⢰⣯⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿ ⣟⡱⣄⡀⠀⠀⣀⡼⣱⠇⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⡟⢿⣿⣿⣿⡿⠿⢿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿ ⠁⠙⠶⠭⠉⠉⣵⣾⠏⠀⠀⢳⠀⠀⠀⠀⠀⡀⠀⠀⠀⠘⣿⡃⢸⣿⣿⣧⣄⣄⣤⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠋⠉⢻⡿⠿⠿ ⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⣸⠶⠢⢤⡔⠉⠉⢳⠀⠀⠀⣿⠷⠚⠋⠉⠉⠉⠉⢙⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⣧⡤⠤⠄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣇⠀⢀⡔⠋⠲⡤⢏⡀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⠞⢧⣀⡠⠃⠀⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⡀⠀⣠⠋⠒⠒⠁⠀⢀⡤⠤⠤⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣯⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠈⠉⠀⠀⠀⠀⣠⠞⠉⠀⠀⠀⠀⠈⠓⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⡝⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⣠⣞⡤⠄⠒⠒⠒⠒⠒⠢⠤⢤⣈⣲⡄⠀⠀⠀⠀⠀⠀⠀⠀⢻⣇⠈⠓⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⣠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠦⡀⠀⠀⠀⠀⠀⠀⠀⢿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⠃⠀⠀⠀⢀⠜⢡⣴⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣦⡙⢆⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⡴⠋⢠⣿⣿⣿⣿⡆⠀⠀⠀⣀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣧⠈⢣⡀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠛⡇⠀⠀⣼⠁⠀⠈⠿⣿⣿⠟⠀⠀⠀⠘⠛⠀⠀⠀⠀⠀⠸⣿⣿⣿⠏⠀⠀⣷⡀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⡄⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠁⡇⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⠙⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠃⡴⠁⠀⢀⡴⠃⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢤⡈⠻⡲⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣧⠞⠁⣀⠴⠋⡏⠀⣸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⣽⣦⣀⠉⠁⠒⠢⠤⣤⣤⠤⠤⠤⠤⠤⠒⠊⢉⢼⣃⡴⠊⠁⠀⠀⡇⠀⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠈⠉⠓⠤⢄⠤⠊⣁⣈⠓⢄⣀⣀⣀⡠⠶⠛⠉⠘⡆⠀⠀⠀⣠⣇⣀⣙⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⣳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠘⢲⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠎⠁⠉⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠾⠋⠁⠀⠈⢻⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡴⠟⠉⠀⠀⠈⡛⢦⡀⠀⢀⣀⡀⠀⠀⠀⠀⠀⣴⠟⠁⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀ ⠀⣴⠋⠁⠀⠀⠀⠀⠀⣶⠞⠛⠻⠋⠉⠹⣧⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⡀⣼⠃⠀⠀⠀⠀⠀⠀ ⣸⠇⠀⠀⠀⢀⣶⠀⠀⢻⣦⠀⣎⣱⠄⠀⣿⣥⣄⣸⠃⠀⠀⠀⠀⠀⠀⠀⢱⡟⠀⠀⠀⠀⠀⠀⠀ ⣿⡀⠀⠀⣠⣿⠃⠀⠀⢸⣇⠀⠀⢠⣤⣤⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠓⠲⠛⠋⠙⠷⣄⠀⠀⠙⠓⢚⣋⣀⠁⠀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠰⢯⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣴⠟⠀⣠⡴⠟⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⣛⠶⣦⡀⠀⠀⠈⠙⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣴⠋⠀⢠⡾⠋⠀⠀⣾⣷⠀⠀⠀⠀⠀⠀⠀⢸⣯⡇⠈⠻⣦⡀⠀⠀⢸⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⠃⠀⢰⡏⢀⣀⣤⣴⣿⡿⠀⠀⠀⠀⠀⠀⠀⠺⡿⠃⠀⠀⠈⣷⠀⠀⢸⡟⠀⠀⠀⠀⠀ ⠀⠀⢰⡟⠀⠀⣿⣷⠉⠁⠀⠈⢿⡄⠀⠀⢶⣿⡇⠀⠀⠀⢅⢀⡠⠀⠀⣽⠀⢨⣾⠃⠀⠀⠀⠀⠀ ⠀⠀⠘⣧⡀⡄⣿⣿⡀⠀⠀⠀⢰⡇⠀⠀⠸⠟⠀⠀⠀⠀⠀⠀⠀⠀⣰⣯⣴⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠛⠷⣼⣯⣷⡀⠀⠀⠀⢷⡄⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⡾⠟⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⢿⣷⣦⡀⠀⠀⠻⣝⠛⢛⣿⣟⠛⠛⠉⠉⠀⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⠟⠉⢈⣿⡀⠀⠀⠈⠉⠙⡇⠙⣦⣀⠀⠀⠀⣰⠏⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠰⣏⡀⠀⠀⠉⣿⠀⠀⣀⣠⣾⡇⠀⠀⠙⠷⣤⡾⠋⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡇⣤⣤⠾⠛⠉⠉⠉⠉⠈⠳⣄⡀⠀⠀⣴⡆⠀⠀⠀⠈⢿⡴⣦⠀⠀⠀⢀⡆ ⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⠶⣿⠁⠀⠀⠀⠀⣠⣿⡁⠀⢀⣠⠾⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⣤⠴⠶⠛⠁⠈⠙⠛⠉⠁⠀⠀
⠀⠈⣟⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⢳⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣄⠀⠀⠀⠀⠙⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠻⣿⣦⡀⠀⠀⠈⣧⡀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠈⠻⣿⣦⠀⠀⢨⣷⣦⣤⣤⣄⣀⡀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⢿⣿⡍⠀⠉⠉⠉⠙⠛⠻⠿⣿⣿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠻⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣷⣦⡀⠀⠀⠀⠀⠀⣠⠖⠺⣶⣄⠀⠀⣠⡞⠉⠉⠲⡄⠀⠀⠀⠀⠀⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠹⠿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣷⣄⠀⠀⢠⡟⠈⢩⣤⣝⣹⠘⠷⠤⢶⡆⠀⣘⠀⠀⠀⣠⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⡄⠘⣇⠈⢿⣄⠀⠀⠀⠀⢀⡿⠃⢠⡟⠀⣠⣾⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣦⡀⠱⣄⠈⠢⡀⢀⡴⠋⢀⡴⠋⢀⡾⠛⠁⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣷⡄⠈⠳⣄⠈⢯⣀⡴⠋⠀⣰⠀⠀⣤⣄⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢠⣼⣿⠻⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡄⠀⠈⠢⠼⠀⠀⠀⡼⠁⠀⢸⣿⣿⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⣾⣿⠃⠀⠘⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡄⠀⠀⠀⠀⠀⡌⠣⠁⠀⠘⠛⠛⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢿⣿⠀⠀⣠⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣿⣿⡀⠀⠀⠀⣰⣴⠟⠀⢰⣦⣤⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⣀⣀⣀⣀⠘⣿⣇⣀⣿⣿⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠊⠉⠀⠀⠈⣿⣧⠀⠀⢀⣿⣿⣄⣴⣿⣿⣿⣿⣿⣿⠿⠛⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⠟⠛⠿⠿⣿⣿⡿⠿⣿⣿⣾⣿⣿⡆⠀⠀⠀⠀⣀⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⢹⣿⡀⠀⣼⣿⣿⣿⣿⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⣾⣿⢀⣠⣿⣿⣿⣿⣿⡇⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡇⠀⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡄⠀⠀⣤⣴⣿⣿⣿⣷⣿⣿⣟⡿⡋⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⢸⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⣶⣶⣿⣿⣿⣿⣿⣿⣟⡿⠗⠋⠀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⢸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡷⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢿⣿⣿⣿⣿⣿⣿⣿⣇⡇⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⣶⠄⠀⠀⠀⠀⠀⠀⠀⢠⣼⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣭⡄⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠻⣿⣿⣿⣷⣿⣿⣿⠃⠀⢀⡞⠀⠀⠀⠀⠀⠀⢀⣾⣿⣧⠀⠀⠀⠀⠀⠀⢠⣿⠋⠙⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠈⠛⡛⣻⣿⣳⠃⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⣾⡏⠀⢸⣿⠿⣷⡄⠀⠀⠀⠀⠀⠀⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠩⠭⠟⠁⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢿⣇⣀⣾⣿⠀⠹⣿⡀⠀⠀⠀⠀⢠⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠈⠛⢻⣿⣿⣦⣀⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⠈⣿⡟⠋⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⣿⡟⠀⢹⣿⡀⠀⠀⠀⠀⠀⠘⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠋⠀⠀⠀⠀⠀⠀⢀⣼⣿⠁⠀⠀⣿⣷⣄⠀⠀⠀⠀⠀⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣻⣿⠃⠀⠀⠀⠈⢿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⣠⠖⠋⠉⢛⡆⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠏⠀⠀⠀⠀⠀⠈⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠉⠉⠓⠢⣄⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⡾⠁⠀⠀⠀⣺⠇⠀⠀⠀⠀⠀⠀⢀⣼⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣆⠀⠀⠀⠀⠀⠀⠘⢧⡀⠀⠀⠀⠈⣳⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⢷⣄⣀⡠⠶⠋⠀⠀⠀⠀⠀⣀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣷⣤⡀⠀⠀⠀⠀⠀⠉⠳⠦⠤⠴⠋⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⢀⣀⣴⣾⣿⠿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⣿⣿⣿⣶⣦⣄⣀⣀⣀⣀⣀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣉⣙⣒⣶⣶⣶⡿⠟⡋⣽⣿⠀⠘⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠃⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⠀⠒⡒⠲⠆⠀⠀⠲⣆⣀⣴⠖⠋⠀⠀⠀⣾⠛⠛⠛⠛⠛⠲⣤⠤⣤⣠⡤⢤⣤⣀⣘⣛⣶⣶⣿⣿⡾⠛⠛⢻⡟⠓⠒⠒⠒⠒⠒⠒⠛⠛⠻⣿⣿⣿⣶ ⠀⠉⠉⠛⠛⢶⣤⣴⠟⠉⠀⠀⠀⠀⣀⣀⣼⡇⠀⠀⠀⠀⠀⠘⢷⡀⠀⠀⠀⠀⠉⠉⠀⣹⡿⠛⠁⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⣿⠟⠿⣿ ⠀⠀⠀⠀⠀⠀⠈⠙⢷⣄⠀⠀⣠⡾⠋⠀⠸⣇⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⢠⡾⠋⠀⠀⠀⠀⠀⠀⢰⣧⣀⠀⠀⠀⠀⠀⠀⠀⣤⣿⠓⠀⣀⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡿⠋⠉⠀⠀⠀⠀⢻⡄⠀⠀⠀⢶⣶⡄⠨⢷⠀⠀⠀⣰⠏⠀⠀⣠⠀⠀⠀⠀⢠⡾⠁⠙⢷⡄⢠⡾⠿⣶⠟⢻⢻⡿⢿⣿⣿ ⠀⠀⠀⠀⠀⢠⠀⣠⠶⠛⠃⠀⠀⠀⠀⠀⠀⠈⢻⣆⠀⠀⠈⠻⣄⠀⠘⣧⣤⡴⣿⢀⡴⠿⡿⠀⠀⢀⣠⡟⠁⠀⠀⠀⠙⠻⢧⣠⠤⢶⣾⡟⠛⠿⢿⣇ ⢰⠀⠘⠦⣄⢸⣿⠃⠀⠀⠀⣠⡤⢤⣤⠶⢾⣟⣹⠿⣷⣦⣀⡀⠈⠛⢾⡇⠘⠀⢸⡏⠀⠀⠀⢀⣤⣾⣿⣶⢤⣄⣀⡀⠀⠀⠀⢻⣆⠀⠀⠀⣴⠄⢨⣿ ⠈⣧⠀⠀⢈⡿⠋⢀⡴⠶⣾⠃⠀⠀⢹⡆⢈⣭⠶⠛⠉⠀⠈⠉⠉⠉⠉⠙⠒⠶⠾⠛⠓⠒⠚⠋⠉⠛⠷⣯⡟⠁⠈⠙⢦⣀⠀⠀⠙⣧⠀⠀⣿⣶⣿⡿ ⠀⠸⡆⠀⣼⠁⠀⢾⠀⠀⠀⠀⠀⠀⣸⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣤⡀⠀⠈⠳⡄⠀⣨⣄⣀⣬⡉⠁⠀ ⠀⠀⠹⡄⢹⡄⠀⠘⢧⣀⠀⢠⣤⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢦⡀⠀⠙⡄⢻⣦⡀⢀⡟⠀⠀ ⠀⠀⠀⣹⠏⠀⠀⢠⣿⣿⣿⡏⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠙⣆⠀⠸⡄⠸⡷⠋⠀⠀⠀ ⠀⠀⠀⣿⠀⠀⠀⢸⡿⣿⣿⣷⣄⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⣀⣇⠸⣇⠀⠀⠀⠀ ⠀⠀⠀⢈⡇⠀⠀⢈⡿⠋⠙⠛⢾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠈⠹⣧⡀⢸⡇⠀⠀⠀ ⠀⠀⠀⠸⡅⢀⣴⠟⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⣀⣀⣀⡤⣤⣀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠈⠙⢶⡇⠀⠀⠀ ⠀⠀⠀⠀⢹⠟⠁⠀⠀⠀⢀⣾⣀⠀⠀⠀⠀⠀⢠⣄⣀⡴⠟⠓⠛⠉⠀⠈⠉⠀⠀⠀⠉⠉⠉⠻⠦⣄⣤⡀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠈⣿⠀⠀⠀ ⠀⠀⠀⠀⣿⠀⠀⠀⠀⢰⡟⠁⠉⢷⠀⣤⡤⠶⠛⠁⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣄⠙⠺⣆⠀⠀⠀⠀⠙⢦⣀⣀⣀⣴⣏⠀⠀⠀ ⢀⢀⣠⠞⠙⠳⢤⣤⡤⢾⣧⣤⣤⠞⢀⡟⠀⠀⠀⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⠀⠈⠻⣦⡀⣀⠀⠀⢨⡽⠟⠉⣏⣰⣿⣇ ⢸⣏⡁⠀⠀⠀⢀⣷⠶⠋⠀⣿⠦⢶⡞⠁⢀⣠⡐⣿⣿⣿⡇⠀⠀⠀⠀⠀⣀⣤⣤⡀⠀⠀⠀⠀⢿⣿⣿⡿⠀⢀⡼⠋⠉⠉⠀⣠⡟⠀⠀⠀⠻⡿⠋⠙ ⠀⠈⠙⠛⣶⠶⠋⠁⠀⠀⢀⣿⠀⠀⠙⢦⡘⠿⠁⠙⠛⠋⠀⠀⠀⠀⠀⢠⡙⠛⢛⣇⠀⠀⠀⠀⠀⠉⠉⢀⣠⠞⠁⠀⢀⡴⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⡴⠛⠁⠀⠀⠀⠀⠀⠀⢻⣤⡄⠀⠀⠉⠳⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⣉⣻⠿⠵⠻⡶⢦⣄⣀⣠⣴⠋⠁⠀⣰⡖⢻⡅⠀⠀⣾⠷⢤⡄⠀⠀⠀⠀ ⢸⡏⠀⠀⠀⣴⠒⠒⡆⠀⠀⣾⠈⠛⠦⢤⡤⣤⣀⣬⣿⡿⠶⢶⡶⢦⣤⣼⣏⣡⠶⠛⠛⠓⢦⣤⠈⣟⢉⣻⣟⣿⣿⣧⠀⠹⣦⠀⢻⣿⠟⠁⠀⠀⠀⠀ ⢸⡀⠀⠀⠀⠈⠳⠚⠁⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⢀⡾⠃⠀⠰⠿⣮⣿⣧⣽⠋⠀⠀⠀⠀⠀⠙⠛⠛⠉⠁⠈⠙⢿⡿⣧⣘⡟⠳⢦⣄⣠⣤⣤⣤⣤⣤ ⢸⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⢀⣾⡇⠀⠀⠀⠀⠀⠀⠈⠛⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡛⢻⣦⣴⣶⡀⢀⣦⣀⣰⣿ ⣾⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠠⣾⣿⣶⣿⣷⡀⣰⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⢸⡷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣼⠛⠉⠉⠉⠛⠉⠉⠉⠛⠉⣉ ⠛⢿⣿⣷⣄⠀⠰⠀⠀⠀⠀⢀⠉⠻⢷⡼⢋⡽⠁⢰⠟⣷⣤⣄⠀⠀⠀⠀⣠⡼⠃⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿ ⠀⠀⠉⠻⣟⢷⡄⠀⢀⠀⣀⡾⠁⠀⠀⢠⡞⠀⣤⡟⢀⡏⡏⠙⠓⠒⠒⠛⢻⣟⣿⡁⠀⠀⣀⣀⠀⠀⠀⠀⣠⣾⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⣿ ⠀⠀⠀⠀⠘⣿⣷⡀⠈⠁⣽⣿⡀⠀⣰⠏⠀⠶⠋⠀⠋⣸⠃⠀⠀⢀⣠⡾⠛⠉⠉⠻⣶⠋⠉⠉⠳⣦⣶⣟⣿⣿⣋⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠋⠀⣿ ⠀⠀⠀⠀⠀⢹⣸⣷⣤⡾⠟⢿⣿⣾⣇⠀⠀⠀⠀⣀⣀⡉⢀⣠⠶⢫⡿⠁⠀⠀⠀⠀⣿⠀⠀⠀⠀⠘⣧⣾⣫⣽⣻⡆⠀⣀⣤⡶⠞⠛⠻⢿⣧⡀⠀⣿ ⠀⠀⠀⠀⢀⡞⢻⡌⢿⣄⣀⡀⠻⢤⣬⡟⠉⠹⠉⠉⣹⣏⣩⠷⠤⢾⣇⣀⣀⣀⣀⣸⣿⠀⠀⠀⠀⠀⠿⠿⠿⠾⠿⠤⠴⠿⠿⠶⠶⠶⠶⠶⠿⡿⠶⡿
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⡇⡜⣐⠒⣌⠒⡤⢃⠖⢢⠑⣢⠑⠦⡑⢢⣘⣤⡶⣶⢻⡽⠭⢏⣙⢫⢩⢩⡑⢣⠜⢢⢃⢎⡱⢍⠫⡍⣻⢯⣽⠭⠋⠁⠠⠀⣄⣤⡤⣤⠠⠀⠄⣿⣳⣠⠐⡀⢒⣲⣐⢨⠒⡐⠨ ⡇⠴⢠⢋⢄⠳⡐⣃⠈⠠⡩⢄⠋⣔⣡⣿⣹⠮⡓⣍⠣⡜⣩⠒⡌⢆⠣⢆⡙⠦⣉⠦⣉⠦⡑⢎⣱⡾⣹⠓⠁⠠⠈⢄⡵⣾⢛⠮⣱⠣⡄⠡⠈⣱⢧⢏⡟⢶⣅⡢⢌⢋⠵⢡⡉ ⡇⢱⢈⠆⢪⠔⣡⠢⡙⠰⡑⢌⣾⢽⡹⢲⡑⢎⠱⢌⡱⢢⢅⠫⡜⣌⠳⡌⡜⡱⢌⠲⡡⢎⣱⡾⡫⠊⠄⠠⠁⡁⡶⣏⢟⢥⠫⣜⢢⠳⠄⠂⡁⣯⢿⡰⣉⠓⢮⡟⣶⢎⡰⢡⠘ ⡇⠐⠬⣘⣢⡼⡶⢶⣻⣟⣽⣟⡵⣻⡞⣥⣼⣈⡇⢎⡔⢣⢌⠳⡘⢤⠓⡜⡰⡑⢎⣱⣱⡞⣯⡊⣀⠡⠈⠄⣡⢾⢟⡱⢍⢮⠱⢎⢲⡙⠄⠡⢀⡿⣋⠴⡡⢎⠥⢊⠯⢯⣳⢦⣉ ⡇⢍⣲⢯⡳⠋⢉⠀⡀⠠⠀⠠⠐⡈⠉⠡⠓⠫⠟⣯⢞⡶⣎⣱⣉⣦⠽⣶⢳⣟⠯⠾⠵⠟⠐⢋⠣⠿⠽⢋⡧⣏⡖⡍⠞⣬⠹⡜⣢⠍⠠⠁⣸⣟⠣⢎⠱⣊⠜⡡⢎⡄⢓⢭⡻ ⡇⣸⢏⡎⠀⠆⡀⠆⣀⣁⣈⣀⣁⡀⠁⠆⠰⠀⠆⠀⡈⠹⢎⣷⢹⡎⠿⠈⠀⢀⠀⡀⠆⡀⠁⠆⠰⠀⠆⡀⠰⠈⢀⠀⢁⠀⠹⢰⢁⠎⡀⠁⣿⡾⢱⠎⣱⠈⡎⢱⡈⣆⠉⡆⢹ ⡇⡿⠾⠀⠌⡐⠀⢾⣍⢳⡛⢞⡛⡻⢟⣳⣦⣥⣈⢐⣤⢾⠻⠊⢁⠠⠐⢈⠐⡀⢂⠐⠠⢀⠡⠈⠄⡁⠂⠄⠡⠈⠄⡈⠄⠌⡐⠈⠄⢂⠐⣸⢧⢇⢣⠚⡤⢋⡜⣡⠚⡤⢋⡔⢣ ⡇⣿⣣⠐⠠⣀⠡⢒⡬⣃⠞⣡⠞⣡⠏⡔⡎⢥⡟⡽⠚⠁⠄⡈⠄⢂⠁⢂⠐⡀⠂⠌⡐⠀⢂⣁⣂⣠⣁⣌⣠⣁⣂⣠⣈⣠⡀⠡⢈⠀⢂⣟⡛⡌⢦⡙⡔⢣⠜⡤⢓⠬⡱⢌⠣ ⣧⢷⡻⡄⠡⢀⠂⠌⠲⢥⡛⣤⢋⠖⣍⠞⣼⢣⠍⠠⢀⠁⢂⠐⠄⠂⠌⡀⣂⣤⡵⢶⣚⣿⠫⡽⢏⠳⣙⢊⡓⡙⢎⡓⠯⠷⢟⢻⣷⣦⠾⡽⡱⢘⢢⠱⣌⢣⠚⡴⡉⢖⡡⢎⡱ ⣟⡧⢟⣳⡀⠂⠌⠠⠙⣢⠳⢤⡋⢞⠬⡹⠾⠁⡈⠐⠠⠈⠄⡈⣐⣬⢶⣻⠽⣒⠫⡍⠲⣄⢣⡑⢎⡱⠌⢦⡑⢍⠦⡙⢬⡙⣌⠲⢤⠙⣯⢽⡔⡩⢆⠳⣈⠦⡙⢤⡙⠦⡑⣌⠒ ⡟⡜⡸⢯⢷⡈⠄⡁⢂⠐⣹⢶⣛⢯⠿⡽⣓⣦⡀⣁⣂⣥⢲⡾⡝⢞⡩⢒⠜⠤⡓⣌⠳⣈⠦⣉⠦⡱⣉⠖⡸⢌⠲⣉⠦⠱⣌⠳⢌⡓⡌⣯⢽⡖⡩⢒⠥⣊⠕⣢⠙⡴⢑⠬⣉ ⡇⠧⡑⢎⢯⡿⣄⢀⠂⢨⣟⢫⡞⣭⢻⡵⣫⢮⡗⣾⡹⣭⢻⢽⣎⠦⡱⣉⢎⡱⡘⢤⠓⣌⠲⡡⢎⡱⢌⢎⡱⢌⠳⢌⡜⡱⢌⡚⢤⠓⡬⡘⣯⢞⡥⢋⠦⡑⢎⠥⡙⠴⣉⠖⡡ ⣏⠲⣉⠎⢆⣽⠽⣦⢶⡽⢾⡹⣞⡽⣳⠽⣣⢯⡵⣫⠷⣭⣛⢾⣽⢒⡱⢌⠲⡰⣉⠦⡙⢤⢣⡑⢎⣴⣉⢦⣘⣌⣓⣌⣒⣱⣊⡜⢢⡙⡔⣡⢙⣾⢳⡩⢒⡍⢎⠲⣉⠖⡡⢎⠱ ⣇⠣⡜⡸⣼⡳⢯⡝⡶⣹⢫⢷⡭⣟⣥⢯⡓⣯⢞⡵⣛⠶⣭⡯⢣⠎⠴⡉⢖⣱⡬⣖⢻⣖⠯⠽⠝⠊⠙⠚⠓⠚⠚⠚⠓⠋⠙⠾⠽⢛⡶⣧⢎⡜⣯⡳⢥⠚⣌⠱⡌⢎⡱⢊⡕ ⣇⠳⢨⢽⣳⣝⣣⢟⡱⡭⣟⢧⢿⣹⢞⡧⣽⢲⣻⡼⣭⢟⡗⡩⣆⣹⢶⣛⠯⠖⠋⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢽⡳⣽⣣⠹⣠⠓⡜⢢⠱⠌⠐ ⡧⡙⢆⡺⣽⠦⣝⢮⡵⣳⢏⣯⢻⡜⣯⠞⣼⡳⢡⡒⢤⣫⡼⢯⠽⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢵⣫⠷⡅⡭⢈⠇⠀⠐⠀ ⡇⡉⣆⢱⠹⣿⡎⣾⢱⠹⡾⣸⢇⡹⣆⠿⣇⡇⣇⣸⡾⣇⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⢏⣹⣆⠏⠀⠀⠀⠆ ⡧⠱⡌⢦⡙⣌⠛⡭⢯⠿⡵⢏⢺⣝⡾⡙⡜⣸⠶⡭⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⡻⠿⠛⠀⠀⠀⢸⡿⡵⣎⡏⡖⠤⣤⠤ ⣇⠳⡘⢦⠱⡌⡚⡔⢃⠞⡰⣉⣾⢣⠧⣑⡾⡽⠋⠀⠀⣠⢶⡶⣦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⡺⠯⠾⠿⠿⠷⠦⠀⠂⢸⣿⣱⠏⠈⠈⠓⠂⠉ ⣇⢣⡙⢤⠓⡬⠱⣌⠣⢎⡑⣲⣏⠿⣰⢯⡗⠁⠀⠀⢰⣯⢳⡳⣎⠿⡀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⢀⡀⠀⠀⠀⠀⠠⠈⠐⠀⢆⠑⣢⣁⣦⢤⣂⣡⡟⡶⠃⠀⠀⠀⠀⠀⠀ ⡇⢦⠙⠦⡙⡔⢣⢆⡙⢦⣑⡿⣼⢃⡿⡞⠀⠀⠀⠀⣾⣎⠷⣝⢮⡟⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠛⠛⣷⠀⠀⠀⠀⠠⠈⣰⣞⡿⠍⠛⢈⠁⠛⢧⢯⡀⠀⢀⠀⠂⠁⠀⠀ ⡏⠦⣙⠢⡕⡸⢡⢆⡓⢆⣾⢳⡃⣾⣽⠀⠀⠀⠀⠀⢸⢾⡹⣝⡮⡽⠀⠀⡀⠀⠀⠀⠀⠁⠀⠀⠻⣦⣤⡾⠋⠀⠀⠀⠀⠀⣼⡯⠁⢀⢾⣝⠇⣨⢖⢦⠻⢞⣆⠀⢀⠀⠁⠌⡀ ⣏⠲⢄⡓⢬⡑⢣⠒⣬⡟⣧⢋⠖⣟⡆⠀⠀⠀⠠⢁⠂⡉⢓⠛⣊⠐⠄⡁⢀⠀⢀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⢸⣷⠁⡐⢠⢤⢆⣄⠌⠚⢉⡤⡈⣟⡆⠀⠂⠈⠀⠀ ⡇⠈⠊⡴⠡⢜⢢⣹⢧⣛⣇⠭⡌⣿⣃⠀⠀⠀⡁⢂⠀⢢⢁⠚⡠⢊⠐⡀⢂⠠⠀⠀⠀⠀⠀⠂⠀⠘⠇⠀⠀⢀⣠⣤⢶⢾⡹⢀⠐⡘⣇⠞⣘⢆⡁⠿⠪⠃⢯⢧⠐⡀⢡⣾⢻ ⡇⠀⠐⠘⣑⢮⠾⣭⠞⠳⢞⡽⢶⣵⡻⣄⠠⠀⠀⠀⠈⠀⠂⠡⠐⠀⠂⢀⠀⠀⠀⠀⢀⣀⣀⣤⣤⡴⣶⢞⡟⣯⠳⡝⢪⣷⢦⠀⢂⠸⣜⢪⡑⡎⡝⣦⢒⠳⢼⣻⠀⠄⠀⢯⡟ ⡗⡲⢎⡙⣯⣛⢮⡗⡶⢶⡤⣌⡙⠲⠽⢭⣛⡿⣲⠶⣶⢶⣶⢶⡶⣶⢶⡶⢶⡞⣿⢻⢯⣻⣝⠎⠓⠛⠈⠉⠹⣞⡳⣬⢿⣹⡯⣷⣄⠠⠈⠁⠓⠚⣒⣥⢭⢳⡯⠋⠠⢈⠀⡀⠙ ⡏⡡⡹⡸⠇⠋⠉⠁⠌⠉⠘⠫⢟⡦⡀⠄⠀⠈⣉⣽⣝⠞⣌⢣⡙⣌⣩⢟⡧⠛⠊⠉⡈⠑⠺⢻⣦⡀⠀⠀⠀⠈⠻⡮⠏⢓⣳⠈⠺⢷⢮⣄⣡⢿⠕⠋⠉⠄⠠⢀⠡⠀⠂⠄⡁ ⡿⢰⠏⠀⡀⢁⠈⠰⠈⠈⠰⠀⠆⢹⢿⡀⠀⡀⢹⣇⢷⣏⣰⣆⣷⣶⢿⠎⢀⠀⠁⠆⡀⠁⠆⡀⢹⢷⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⢹⣸⠎⠁⢀⠈⠰⠈⢰⠈⡀⠇⡸⢀⠁ ⣷⠃⢀⠐⠠⣀⣶⢳⡖⣧⡂⢁⠂⠄⢫⢷⠀⠀⢼⠎⠁⠋⢳⣽⠊⠙⠊⡀⢂⠈⡐⠐⠠⢁⢂⣄⢈⣯⡇⠀⠀⠀⠀⠀⠀⠀⣟⡇⠀⣠⣗⠏⠀⢀⠂⠌⡐⠉⠄⠂⠡⠘⠀⢆⠡ ⡇⠠⢀⠂⣽⡫⠊⡁⢀⣳⢻⢀⠂⠌⢸⣏⠆⠈⢸⣷⠀⠀⠸⣳⡄⢂⠁⡐⢀⠂⠄⡁⠂⠄⣸⣟⡾⠝⠀⠀⠀⠀⠀⠀⠀⠀⡿⣵⡺⠝⠀⠀⠂⠀⠂⠐⠠⡈⢈⡐⠌⡐⡉⠄⡂ ⣇⠐⡀⠐⡹⡽⣦⡐⢀⡯⡏⢀⠂⠌⣸⣻⠀⠠⢀⣹⢷⣤⣀⣙⡽⣦⡐⢠⣦⣐⣠⡾⣷⣞⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⡇⠀⠀⠂⡐⠀⠂⢀⠐⠠⠐⢂⡐⢂⡐⡐⡈⠔ ⣿⣆⠠⢁⠀⡈⢳⣻⢸⡳⠇⠠⠈⠄⡿⡁⢀⢡⣞⡯⠁⠉⠘⠛⠓⠋⠽⠏⠃⠛⠓⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⡇⠠⠁⡀⠀⠄⡁⢂⠐⡈⠒⠠⡐⢂⠰⢀⠘⡀ ⡟⢼⡷⣄⣂⣰⢾⡱⢸⣛⡆⠁⠌⡀⢟⡧⣤⢟⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡀⠀⢀⠀⠀⢀⠀⢀⠀⢸⣻⠀⠐⠀⠄⢈⠀⡐⢀⠐⢠⠀⠡⢀⠂⡁⠄⢂⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣷⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣺⣿⠀⢈⣽⣿⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣶⣤⣿⡗⠀⠀⠀⢰⣿⡿⠿⡿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠋⠙⠻⠿⣿⣶⣤⠀⠀⢀⣴⣿⣿⣷⣶⣼⣿⠋⠉⠀⠀⠀⠀⢿⣿⣁⠀⢰⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⣾⣿⣿⠀⠀⠀⠀⠀⠈⠙⠻⢿⣶⣾⡿⠁⠀⠀⠈⠙⣿⣷⣶⣤⢀⢀⢀⣴⡿⢿⣷⣾⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣴⣿⠟⠁⢸⣼⡄⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣁⣤⣤⣤⣄⣰⣿⠛⣹⣿⠿⠿⠿⣿⣶⣤⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⣿⠏⠀⠀⠀⠀⠛⣟⣶⣄⣀⡀⢀⠀⡀⠀⠈⠛⠛⠋⠛⠙⠛⠛⠿⢷⣿⣏⡀⠀⠀⠀⠙⣻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣿⡏⠀⠀⠀⠀⠀⠀⠀⠙⠛⣿⣿⡿⠿⠿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣦⣀⠀⢰⣿⢿⣿⣤⣤⣤⣄⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢼⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠋⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⠿⠟⠀⠙⠿⡿⡝⠛⠻⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀ ⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡇⠀⠀⢀⣠⣶⣿⠿⠿⠿⠿⢿⣷⣶⣦⡀⠀⠀⠀⠀⠀⢶⣧⠀⠀⠀⠀⠹⣽⣆⠀⠀⠙⠿⣿⣆⠀⠀⠀⠀⠀ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⢠⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠉⠙⢿⣷⡆⠀⠀⠀⠸⣿⡆⠀⠀⠀⠀⠉⣿⣇⠀⠀⠀⠙⣿⣆⠀⠀⠀⠀ ⠸⣿⣧⠀⠀⠀⠀⠀⠀⠀⠰⣿⣇⠀⣿⣿⠀⠀⢠⣶⡆⠀⠀⠀⠀⠀⠀⠀⠙⣿⣧⠀⠀⠀⢻⣷⡀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⢹⣿⡄⠀⠀⠀ ⠀⠙⣿⣧⠀⠀⠀⠀⠀⠀⠀⢹⣿⡌⣿⡏⠀⠀⢙⠛⠁⠀⠀⠀⠀⢀⣤⡀⠀⢸⣿⣆⠀⠀⠀⣿⣿⣄⡀⠀⠀⢸⣿⠇⠀⠀⠀⣸⣿⠀⠀⠀⠀ ⠀⠀⠈⠻⣷⣤⠀⠀⠀⠀⣶⣿⠻⣿⣾⣧⠤⠤⠌⠀⠀⢰⣛⡆⠀⠘⠿⠃⠀⢰⣿⣯⠀⠀⣰⣿⠏⠻⢿⣶⣶⣿⠟⠀⠀⠀⠀⣽⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢿⣿⡀⠀⢸⣿⡇⣠⣿⣿⡿⣷⣤⣀⠀⠀⠀⠀⠀⠀⡎⠁⠀⠁⣼⣿⠃⢀⣰⣿⠏⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⣠⣿⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣿⡟⠀⠀⠀⠻⡝⣗⣡⢾⣿⣍⠛⣿⣿⣶⣦⣄⣀⡀⠀⣀⣤⢶⣿⣣⣶⣿⣿⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣾⡿⠀⠀⠀⠀⠀⠙⣼⣿⠋⠹⢿⣷⡿⠋⠘⣟⣟⠛⠿⠿⣿⣿⣿⡿⡟⣽⡇⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⣿⡇⠀⠀⠀⠀⢀⣾⡿⠃⠀⠀⠀⠀⠀⠀⠀⠛⣿⣶⣶⣾⡿⠛⠋⢳⢡⢣⣣⣿⡟⠀⠀⠀⠀⠀⠀⣠⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢾⣿⠀⠀⠀⠀⠀⢰⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⢠⣾⣾⠭⠞⠃⠀⠀⠀⠀⢀⣴⣾⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⢿⣷⣄⡀⠀⣀⣐⣿⣧⣀⣀⣀⣀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⢰⣿⢿⣷⡄⠀⠀⠀⣀⣴⣾⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠻⠿⠿⠟⠛⠛⠙⠿⠟⠿⠟⠛⠉⢻⣿⡀⠀⠀⠀⠀⣠⣾⢿⣵⣿⠇⠀⠀⠀⣿⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣦⣠⣤⣴⡿⠛⠉⠉⠁⠀⠀⠀⢠⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣧⣤⣄⣀⢀⣠⣤⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠻⠿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⠀⠀⠀⠀⠀⠛⠓⠛⠘⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠉⠈⠃⠚⠐⠒⠓⠛⠐⠊⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⠿⠛⠛⢷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣠⣤⡶⠶⢦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠿⠋⠀⠀⠀⠀⠀⢻⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⡿⠋⠁⠀⠀⠀⢉⡻⣷⣄⠀⠀⠀⣀⢀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣴⡟⠯⠀⠀⠀⠀⠀⠀⠀⣶⣬⡿⢷⣴⡿⠛⠛⢿⣦⠀⠀⠀⠀⢰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣾⠏⠀⠀⠀⠀⢀⣀⠀⠀⢰⣿⠁⠀⠀⣩⢄⡀⠀⢈⣿⠄⠀⠀⢠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢰⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⡟⠀⠀⠀⠀⠀⣠⣿⠀⠀⠀⢙⣷⡆⠸⣅⣠⠇⠀⠈⢿⡿⢶⣦⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡇⠂⠀⠀⢀⣼⣿⠁⠀⠀⠀⢸⣏⠀⠀⠀⢀⣦⣄⣴⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢿⣶⣴⣶⠟⠋⠻⣧⣀⠀⠀⠈⠻⢷⣶⡶⠟⠉⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢈⣽⡇⠀⠀⢁⣠⣴⣶⠶⠖⠲⠦⢴⣶⠶⠞⠛⠛⠲⢶⣦⣄⠀⠀⠀⠈⠉⠙⠻⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⡟⠋⠀⢠⣴⡿⠋⠁⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡉⠻⣷⣄⠀⠀⠀⠀⠈⢻⣦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⡟⠃⠀⢀⣴⡿⠁⠀⠀⢰⣟⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣬⣧⠀⠈⠻⣷⡄⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⡟⠀⠀⢠⣿⠋⠀⠀⣀⣀⣺⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⠇⠀⠀⠀⠘⢿⡄⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣿⠃⠈⠀⣾⢣⡤⠶⠛⠋⠉⠻⣿⠋⠀⠀⢀⣠⣬⣤⡄⠀⠀⠀⢨⠍⠀⠀⠀⠀⠀⢸⡇⠀⠀⣰⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⡏⢰⠀⠀⣿⢸⡇⠀⠀⠀⠀⠈⢛⣧⠀⠀⠈⢻⣿⡿⠀⠀⠀⠀⠈⠒⠠⠒⠃⠀⠀⣸⡇⠀⣵⡿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣷⣬⠰⡄⣿⡌⣧⠀⠀⠀⠀⠀⣾⡏⠀⠀⠀⠘⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣲⣿⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠙⠿⣷⣼⣷⣜⣇⠀⠀⠀⠀⠈⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣾⠿⢻⣥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠩⣿⣻⣧⣄⠀⠀⠀⠀⢻⡶⠤⠶⠶⣤⣤⣤⣤⣶⠾⠿⠛⠛⠁⠀⢀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣿⠿⠿⣷⡄⠀⠀⠀⠙⠦⠤⠤⣾⠹⣷⡄⠀⠀⠀⠀⠀⠀⢀⣾⢏⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡟⠁⠀⠀⣼⣇⡀⠀⠀⠀⠀⠀⠀⣿⡇⠈⠿⣦⣀⠀⠀⠀⢠⣾⠋⠈⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠢⣿⡀⠀⠀⠀⠀⠙⣿⠂⠀⠀⠀⣀⣴⣿⠁⠀⠀⠈⠻⢿⣦⣴⡿⠃⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣽⠀⠀⠀⣠⣾⠷⠾⠛⠛⠋⠉⠉⠻⣦⡀⠀⠀⠀⠀⣠⣄⠀⠀⠀⠀⠀⠘⣿⢀⣀⡀⠀⠀⠀⠀⢀⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣿⠘⠻⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢶⣤⣀⣠⣿⡿⠀⠀⠀⠀⠀⠀⠈⣿⣼⠃⠀⠀⠀⠀⣼⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⣿⡀⠀⠀⠀⠀⢀⣠⣾⠿⣧⡀⣀⣤⣴⡾⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣦⣤⡶⠶⠛⠉⠀⠀⠈⠙⠉⠉⠀⠀⠀⠀
˙ . ꒷ 🍰 . 𖦹˙—⋆。‧˚ʚ🧁ɞ˚‧。⋆ ૮₍ ˶ᵔ ᵕ ᵔ˶ ₎აᡣ𐭩૮꒰⸝⸝> ̫ <⸝⸝꒱ა
⠀⢣⠀⠀⠀⡠⠂⠉⠉⡤⠔⠢⡤⠆⠀⠀⠘⠈⠑⣄⡀⠀⠀⠀⠀⠀⠀⡀ ⠀⣀⠑⡄⠀⢃⠀⡠⠒⠠⠀⠀⢸⠀⠀⠀⠀⠀⠀⠛⢌⠑⠂⠠⠤⠤⠒⠁ ⡙⠼⣭⡻⡖⠁⠀⢄⠀⣀⠃⠰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀ ⠫⡢⡨⢌⢶⣀⠀⡠⠂⠀⠀⡠⠀⢀⠠⠐⠂⠀⠉⠀⠒⠠⡀⢢⠀⠀⠀⠀ ⠑⣌⢾⡆⢺⠀⠀⠀⠁⠀⠉⡠⠊⠀⠀⠀⠀⠀⠀⠀⢀⣤⣬⣂⡗⠂⠤⠀ ⡭⠊⠫⣹⠈⠀⠀⠀⠀⢀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠀⠀⠈⡇⠀⠀⠀ ⡢⠤⠒⡹⣴⠀⠀⠀⢠⠂⣠⡴⠶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀⠀⠀ ⠐⠊⠁⠐⣫⢢⡀⠀⢸⠰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠊⠀⠀⠀⠀ ⠀⠀⠀⢀⠔⠛⡢⠕⠚⠀⠀⠒⠠⡀⠀⠀⠀⠀⠀⢀⣠⠂⠁⠉⠐⠠⢄⠀ ⠀⠀⢈⡇⠀⠀⣠⠖⠈⠉⠐⢒⣠⣸⣀⡠⠤⠐⠂⠁⠀⠹⠀⠀⠀⠀⠀⠀ ⠐⠊⠋⠛⢆⡤⠳⡩⠔⣒⠞⠀⠀⠈⠓⠒⠢⢀⡀⡤⡆⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠐⠨⣶⠬⠄⣀⣀⢀⠀⠀⠀⢀⠔⠀⢠⠉⢦⢄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠠⠁⠀⠀⢀⠎⠉⠙⠏⠙⠠⠀⠀⢈⠀⢸⠀⠈⠑⠢⠄
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⠀⠀⠀⠀⠈⠉⠉⠲⢌⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡀⠂⠤⣀⢀⠞⡴⠋⠀⣠⠤⠤⠤⢄⠀⠉⢆⠀⠀⠀⣠⠴⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⠤⣄⠀⠄⠀⠀⠀ ⠀⠀⠀⠔⠒⠒⠢⢄⠀⠳⡈⠆⢆⡠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⢤⡉⠺⡀⢠⢊⠴⠚⠉⠓⢤⠱⡄⡨⢃⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀ ⠀⠀⡠⠊⠉⠉⠓⡌⢢⡠⢃⠞⠉⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠈⠢⣉⠡⡎⠀⠀⠀⠀⠀⢧⢈⡴⠋⠀⠀⠀⢀⠄⠂⡀⠀⠄⠀⠠⠠⣉⠑⠢⢄⠀⠀⠀⠀⠀⠀⠁ ⠀⠘⡇⠀⠀⠀⠀⢸⢀⡴⠃⠀⠀⢀⡠⠒⣁⠤⠂⠐⠀⠀⠦⢌⡑⠢⢄⠀⠀⠀⠈⢦⠑⡄⠀⠀⠀⡰⢃⠎⠀⠀⠀⡠⢊⡡⠒⠉⠀⠀⠀⠀⠀⠀⠀⠉⠓⢤⡑⢤⠀⠀⠀⠀⠀ ⠀⠀⠈⢆⠀⠀⢠⢃⠎⠀⠀⢀⡔⢃⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢄⡑⡄⠀⠀⠀⢣⠘⡄⠀⡰⢡⠏⠀⠀⢠⠎⡰⠋⠀⠀⠀⣀⠤⠤⠤⠠⠤⣀⠀⠀⠀⠙⢄⠑⡄⠀⠀⠀ ⠀⠀⠀⠈⠆⢀⢃⠎⠀⠀⢠⢊⡔⠁⠀⠀⡠⠔⢒⣒⣒⠒⠢⢄⡀⠀⠀⠱⡈⢆⠀⠀⠀⢣⠸⢠⢃⡇⠀⠀⢠⢃⠞⠀⠀⢀⠔⣉⠤⠒⠉⠉⠑⠒⢤⡉⠦⡀⠀⠀⢣⠘⠀⠀⠀ ⠀⠀⠀⠀⠘⠊⠼⢄⣀⣠⢃⠎⠀⠀⡠⢊⡴⠊⠉⠀⠀⠈⠑⠦⠘⢆⠀⠀⣹⠀⢓⣂⡭⠥⠴⠤⠤⠈⣩⣵⣧⣮⢤⣄⣠⣃⠜⠁⢀⡠⠤⠤⠤⢄⠀⠙⢆⠱⡀⠔⢋⡤⠗⠀⠁ ⠠⠀⠂⠈⠀⠉⠀⠂⠔⢣⡘⠢⢄⡰⢡⠋⠀⣠⣶⣦⢶⡶⣻⠟⠛⠿⣶⢾⣤⣤⡭⣤⣤⡤⣤⢤⡴⣿⣛⡞⣶⡹⣞⡼⣫⢟⡶⣦⣥⡔⠊⠁⠒⢄⠱⡀⡠⢃⡴⠚⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠣⣜⣠⣇⣤⣟⢿⣣⡼⠟⠻⣇⣀⠀⠀⣸⡟⣼⢣⡟⣧⡜⣧⢻⡜⣧⢇⡿⣸⣇⢿⡸⢧⡻⣜⢧⣇⣟⡻⣧⣄⡀⠘⡇⠘⣣⠟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠠⠄⣀⠀⣀⣤⢶⠾⣝⡞⣶⡹⢮⡟⠀⠀⠞⠁⢠⠃⠈⢙⡿⣜⢧⣛⢶⡹⣎⢷⡻⣜⢯⡞⣵⣿⣯⣽⢳⡝⣮⢳⡞⣼⢳⣭⢳⢯⣳⢷⣞⡁⠀⠀⢀⠤⠒⡠⠐⠀ ⠠⠐⠀⠂⠈⢀⣴⣾⢻⡻⣜⢯⡻⣼⡹⢶⣹⢳⣷⠔⠀⠓⠊⡁⢀⣠⢾⡹⣎⠿⣜⢧⡻⣝⢮⡳⣝⡮⣝⢮⣻⢿⣿⣧⡟⣵⢫⢾⡱⣏⣆⡟⣮⢳⢯⣝⡻⣶⣴⣋⠴⠋⠀⠀⠀ ⠀⠀⠀⢠⣞⢿⡹⣎⠷⣝⣮⢳⡝⣶⡹⢧⣏⢷⣹⣦⣀⣀⣼⢻⡽⣹⢎⣷⠭⠿⠚⠓⠛⠚⠳⠿⢼⣳⡽⣎⢷⣫⢟⡿⣿⣷⣫⢷⡹⣞⡼⣹⢎⡟⡾⣜⡳⢧⢯⡽⣟⢶⣄⠀⠀ ⠀⠀⣰⣯⣛⢮⡳⣭⢟⡾⣜⢧⣛⢶⣫⢗⣾⣽⣿⣿⡻⣝⢮⣳⡽⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠷⣽⢎⡷⣹⢻⢿⣾⣵⣫⢞⡵⣛⢾⡱⣛⡽⣫⢞⡵⣫⢞⡿⠀⠀ ⠀⠁⠀⠳⣯⡳⣝⢮⡻⣼⡹⢮⡝⣮⣳⣿⠞⣿⡿⢧⣛⣮⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣾⣱⢯⡞⣽⡈⠙⠾⢽⣝⣮⢳⣝⡳⣝⣮⣳⡽⡟⠀⠀⠀ ⠀⠀⢠⡠⠼⢝⡻⢮⠷⢧⡿⢷⡻⠟⠁⠀⠀⣿⣝⣳⡻⠃⠀⠛⠳⢶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⠶⠟⠛⠃⠘⣯⡞⣽⣹⡇⠀⠀⠀⠀⠈⠉⠉⠉⠉⠈⠓⢤⠁⠀⡀⠄ ⠀⣤⠋⠀⠀⠀⠙⡌⡒⢋⡴⠋⠀⠀⠀⢀⣸⡗⣮⣳⠁⠀⠀⣴⠶⠛⠋⠁⠀⠀⠀⣠⣤⡀⠀⠀⠀⠉⠛⠻⢶⣤⠀⠀⠘⣟⡲⢧⣗⢉⠐⢋⡙⡒⠒⢤⣀⠀⠀⠀⠀⠙⢄⠡⠀ ⠐⠘⠄⠀⠀⠀⢀⠟⡰⠋⠀⠀⢀⠴⢊⡥⠖⣟⡶⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠁⠀⢻⣝⣯⠇⠀⠀⠀⠀⠉⠑⠢⢄⡓⢤⠀⠀⠀⠀⠐⠠ ⠀⠈⠄⠀⠀⢀⡎⡼⠁⠀⠀⡔⢫⠔⠉⠀⠀⢻⡼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡹⡾⠀⠀⠀⠠⢄⣀⠀⠀⠀⠙⢄⠓⣄⠀⠀⠀⠐ ⠀⠀⠈⡄⢠⠞⢼⣀⡀⢀⠞⡴⠃⠀⠀⡠⠖⣙⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢠⢷⡽⣓⠥⠂⠓⠈⠦⢌⡑⠦⡀⠀⠀⢫⡘⡀⡀⢄⡐ ⠐⠄⠃⠈⠀⠚⠐⠢⠍⣱⡞⠀⠀⣠⠎⡴⠋⠁⠀⠹⣿⣄⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⣠⣿⣿⠛⠁⠀⣠⣤⣄⣀⠀⠙⢦⠙⣄⠔⣋⡴⠃⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢌⡡⢎⠀⡠⢚⣩⠥⣌⡛⢷⢤⡀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⣀⡤⠞⠫⣅⠣⣀⠴⢚⠴⠒⠂⢦⡑⣄⡠⠇⡼⠚⠁⠀⠀⠀⠀⠀ ⠀⠀⢀⠀⡀⢀⠠⣄⣀⠀⠀⠀⠀⠑⢎⡙⣴⠋⠀⠀⠀⠙⣄⠒⣩⠟⠒⠢⣤⢤⣭⣭⠽⣭⣭⣤⢤⡴⠒⢿⡅⠀⠀⠀⠈⠲⡰⢸⠁⠀⠀⠀⠀⢳⡘⣡⠞⠀⠀⠀⠀⡀⠀⡄⡐ ⠂⠉⠀⠁⠈⠈⠀⠲⠬⡙⠢⡀⠀⠀⠀⠱⡌⢆⠀⠀⠀⡰⢉⡼⠁⠀⠀⣄⠈⣓⣏⣿⣷⡿⢛⡏⠈⠀⠀⠀⠙⣷⣄⠀⠀⠀⠙⢆⠳⡀⠀⠀⢠⠎⡴⠃⠀⠀⢀⠴⣉⠴⠁⠀⠀ ⠀⠀⠀⠀⠀⣀⠀⠀⠀⠈⠳⡌⢦⡀⠀⠀⠹⡌⢆⠀⣰⠑⣸⠁⠀⠀⠀⢈⡟⠉⠀⠈⢻⡴⠚⠑⠲⣶⠛⠀⠀⠘⡇⠳⡀⠀⠀⠈⢖⢱⡀⢠⠇⡾⠁⠀⠀⡰⢩⠔⠁⠀⠀⠀⠀ ⠀⢠⠐⡄⠊⢩⡍⠒⣤⠀⠀⠈⣦⢱⠀⠀⠀⢹⠘⣶⠃⠃⡇⠀⠀⠀⠀⣼⠀⠀⠀⠀⢠⠁⠀⠀⠀⢸⠀⠀⠀⠀⣷⢣⢹⡄⠀⠀⢨⡆⠓⡎⣼⣥⠀⠀⡜⢡⠋⠀⠀⠀⠀⠐⠂ ⠈⠀⠀⠀⠀⠀⠉⠲⣌⠦⡀⠀⢘⡆⠳⡀⣌⣡⠎⠐⠌⢸⡇⠀⠀⠀⠀⡽⠀⠀⠀⢀⠾⡀⠀⠀⠀⢸⠃⠀⠀⠀⡏⠘⢆⠡⡐⠄⠢⠘⠠⠑⠀⠆⠩⢙⠡⠻⣄⠀⢠⠚⠈⠁⠀ ⣦⣴⣶⣶⣶⣶⣶⣤⣾⣶⣿⣴⣷⣦⣥⣤⣤⣤⣤⣤⣄⡴⠿⠀⠀⠀⠀⢾⣳⣎⡉⠧⣀⣩⠖⣦⡤⡞⠂⠀⠀⠰⠿⣾⣶⣷⣶⣶⣶⣶⣶⣶⣿⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠸⣿⣯⡝⡿⣿⣴⡻⢿⡽⠃⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡠⠀⠀⠀⠀⢀⡞⡽⠈⠉⠉⠉⠉⠉⠉⢷⡆⠀⠀⠀⠀⢤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⢠⠟⠂⡇⠀⠀⠀⠀⠀⠀⠀⠈⢿⡀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡒⠉⡀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠤⣶⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣝⣣⣿⣢⣓⣖⣲⣒⣖⣲⣖⣲⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠁⠀⠀⠀⢀⡴⠉⠹⣆⠀⠉⠙⠛⠿⢿⣿⣿⣿⡟⢿⣿⣦⣿⣿⠿⢷⣿⣾⣒⣀⣲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣽⣿⣿⣟⣟⠛⠛⣶⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠱⣿⢿⣤⣾⠛⠁⠀⠀⠀⠀⠉⢿⣿⣿⣿⣿⣿⠋⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⣥⣿⣿⣿⣿⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠒⠀⢳⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠾⠤⢤⣤⣤⡤⣤⠤⠤⣄⣀⡀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⣺⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠿⠅⠀⠀⠀⠙⠿⠿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣄⠀⠀⢿⣿⣿⡿⠀⠀⠀⠈⠙⠳⣤⣿⠀⠀⠀⠀⠀⠀⣴⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣤⠤⢴⣶⠦⠤⢤⣤⣄⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣦⡀⠈⣷⣿⣇⣤⣤⠤⠤⠤⠤⣬⣿⣷⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⣿⠀⠀⠀⣷⢈⡏⠀⠙⠛⢿⣿⡿⠛⠛⠛⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⢻⣿⣿⣶⣿⣿⣿⠃⠀⠀⠀⠀⠀⠈⠻⡏⣦⠀⠀⠀⠀⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⣿⠀⡀⠀⣿⢸⡇⠀⢀⣵⠟⠁⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿ ⠀⠹⣿⣿⣿⡟⠇⠀⠀⠀⠀⠀⠀⠀⠀⡇⣽⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⣿⠀⠇⠀⣿⢸⡇⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿ ⠤⠤⢽⣿⣿⣅⠱⣄⠀⠀⠀⠀⠀⠀⣴⢣⡏⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣶⣯⣴⣶⣾⡇⣽⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⢉⣿⣿⣿⣿⣿ ⡆⠀⠈⣿⣼⣏⠣⣝⡳⠤⢤⠤⠴⢚⣽⡞⠀⠀⢰⠀⠀⠀⢹⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣟⡉⡉⠉⢛⣹⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣇⠀⢹⣿⣿⣿⣿ ⣿⡀⠀⢸⡏⣿⠀⠈⠛⠒⠒⠲⡞⣿⠇⠀⠀⠀⠘⣼⠟⠉⠙⢧⠶⠋⠉⠙⡆⠀⠀⠀⠀⢠⡿⠟⠛⠛⠛⠛⠛⢻⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠈⠀⠛⠉⠛⢿⣿ ⣿⢿⡆⢸⡇⣿⠀⠀⠀⠀⠀⢸⢠⢸⢀⠀⠀⠀⡄⣿⣀⡴⠊⠉⢣⠀⢀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡴⠶⠶⠆⠀⠀⠀⢸⣿ ⢿⣷⡹⣿⣧⡿⠀⠀⠀⠀⠀⡼⣸⡌⠸⠀⠀⢸⡿⠋⠀⢧⣀⣀⠞⠋⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠈⠀ ⠘⣯⣿⠟⢻⡃⠀⠀⠀⠀⠰⠇⡇⠇⠀⠀⠀⠈⢧⡀⢀⣠⠼⣁⠀⠀⡸⠃⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠃⢸⠀⠀⡇⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⢨⡿⠋⠁⠀⠈⠉⣹⠗⠋⠉⠉⠓⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠻⢻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠏⠀⢸⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⢀⡴⠊⠁⠀⢀⡀⠀⠀⠀⠈⠓⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠉⢻⣄⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣷⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠃⠀⠀⢀⣴⡯⠶⠚⠉⠉⠉⠉⠉⠉⠙⠲⠦⣄⡙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠘⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⣠⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣆⠀⠈⠛⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⠴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⣼⠯⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠘⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⢀⣞⡟⠘⠋⠉⠙⢻⠇⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⣾⣼⡇⠀⠀⠀⠀⠀⠀⠀⠉⠛⠁⠀⠀⠀⠀⠀⠛⠟⠿⣶⡄⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢹⣸⠃⠹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠀⠀⠘⡟⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠲⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠓⣄⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⡇⠀⠀⣀⡤⠤⠤⣤⡾⠁⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⠖⠀⠀⠀⠀⠀⢷⠀⠈⠳⣄⠀⠈⠑⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⣴⢃⡴⠊⠁⠀⠀⠀⠀⢿⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠈⠑⠦⣀⠀⠈⠉⠓⠶⣤⣀⣀⣀⣀⡀⠀⠀⠀⢀⣀⣴⡯⣶⢞⡵⠋⠀⠀⠀⠀⠀⠀⠀⣼⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣄⠀⠀⠀⠈⣿⠓⠶⠶⣺⠗⠚⢷⣄⠀⠉⠉⠉⠉⢉⣀⢴⣋⡵⠋⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣦⢤⣀⣿⠀⠀⠀⠹⣄⣀⡼⠀⠙⠢⠤⠤⠖⠛⠋⢉⠟⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠈⢻⠀⠀⠀⢠⡖⠒⢦⡀⠀⠀⠀⠀⠀⠀⡰⠋⠀⠀⠀⠀⠀⣀⡤⣴⠋⠁⠤⠚⠒⠚⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⣸⣇⠀⠀⠘⢦⣀⡴⠃⠀⠀⠀⠀⣠⠎⠁⠀⠀⠀⠐⣶⠊⢹⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⣿⠈⠦⣀⣀⠴⠃⠙⠲⠤⠤⠴⠊⠁⠀⠀⠀⠀⠀⠀⢿⠀⢸⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⡄⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠙⢦⣿⠇⠀⠀⠀⠀⠀⠀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠘⢄⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⡸⠁⢰⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀ ⠂⠄⠀⠁⠀⡲⠀⡠⠀⠀⠆⠘⠄⠀⠀⠃⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢨⠀⢠⠂⠐⡄⠢⡀⠀⠀⠀⠀⠀⠀⠑⡀⠀⠀⠀⡴⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠰⠘⠤⠠⠃⠀⡄⠀⠀⠀⠀⠀⠀⠀⠈⠐⠒⡎⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⡛⠤⠤⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀ ⠀⠀⠎⠙⣯⠃⠀⠀⢀⠤⠐⠊⠉⠉⠉⠁⠒⠠⢀⠀⠀⠀⠀⢃⠀⠀⠁⠀ ⠀⠀⠀⠈⡧⢮⢛⢖⣴⣦⠀⠀⠀⠀⠀⠀⠀⣴⣦⡑⡀⠀⠀⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠩⢀⠿⣸⣿⣿⠃⠀⠀⡀⡀⠀⠀⣿⣿⡇⡸⠄⣠⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⡐⠁⠀⠀⡆⠀⠀⠀⢰⠒⠂⠀⠀⠀⠀⠜⠀⠀⠈⢆⠀⠀⠀⠀ ⠀⠀⠀⠀⡅⠀⠀⠀⡷⠂⠀⠄⠀⠠⢀⠀⠀⠐⠒⣡⠀⠀⠀⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⢡⠀⠀⠀⠈⠦⡀⠀⢠⠆⠘⡄⠀⠀⠔⠉⠀⠀⠀⠌⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠐⠄⠀⡐⠀⠉⠒⠂⠀⠀⠈⠒⠊⠀⢃⠀⠠⠂⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠠⡀⢀⠠
⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠤⠶⠶⠤⠤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠶⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⢀⣠⡶⠚⠉⠈⢳⣶⣄⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⣠⣶⢛⣿⠃⠀⣸⣿⡟⠿⢿⣿⣋⠻⣷⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⢤⡀⠀⠀⠀⠀⠀⠀⠈⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠞⢩⣿⠟⠁⠀⠀⠸⣿⣼⣧⣠⢿⣟⣦⠈⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣙⣢⣄⠀⠀⠀⠀⠀⠀⠻⣟⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⣿⢷⣀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⡟⢀⡇ ⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠶⠶⢦⣄⣴⠋⠁⠀⠈⠻⡷⡶⠒⠒⠒⠒⠒⠛⠛⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⣠⣿⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠷⠿⠁ ⠀⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⠀⠘⣇⣀⠀⠀⠀⠀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣱⣿⠻⣶⣤⣤⣤⣨⣥⢴⠿⠟⢧⠀⠀⠃ ⠀⠀⠀⠉⠛⠲⠤⣄⣀⡀⠀⠀⠀⠀⠀⠸⣇⠀⠀⢀⡴⠋⠀⠈⠙⣦⣀⣤⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠁⠀⣹⠷⣦⣤⠀⠀⠀⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⢹⣻⡶⡖⠲⠤⣤⣬⠗⠒⠺⣄⠀⠀⠀⣠⠟⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣾⣿⠞⠋⠁⠀⠀⠀⠈⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠦⡽⠆⠀⢸⡇⠀⠀⠀⠈⠉⢲⡋⠁⠀⠀⢀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⠃⠀⠰⠆⠀⠰⠀⢠⠀⣀⡴⡋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢠⡞⠙⢦⣄⣀⣀⣠⠞⠙⠒⠶⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣄⣀⣀⣠⣤⡤⢶⣻⣿⣿⠅ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠴⠖⠛⠛⠉⠉⠉⠉⠉⠉⠉⠛⠲⠦⢤⣀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠐⢒⣶⣚⠿⠿⠛⠉⢀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢦⡀⠀⠀⠀⠀⠀⠘⣏⠉⠁⢀⣀⡠⠤⠒⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢳⡄⠀⠀⠀⠀⢸⡄⠉⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢐⣭⣟⣩⣿⡏⠀⠀⠀⠀⠀⠀⠀⢀⣴⠋⠀⢀⣴⣶⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣏⣿⢳⡇⠀⠀⠀⠀⠀⠀⢀⡿⠁⠀⣴⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣷⣦⠈⣧⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠚⠛⠛⠁⢸⡇⠀⠀⠀⠀⠀⠀⡾⠁⠀⢸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣇⠘⡇⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⣰⠃⠀⠀⢺⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠯⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⢹⠀⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⣿⠀⠀⠀⠈⠻⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⡟⠀⢸⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⢀⣴⢶⠶⠶⣶⣶⠀⠀⠀⠀⠀⠈⠙⠛⠋⠀⠀⡼⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡠⠴⠶⠲⠦⣄⡘⢧⡀⠈⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣇⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡞⠀⠀⠀⠀⠀⠀⠙⠶⣿⣤⡀⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡋⠀⠀⠀⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣟⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⢦⣺⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣧⣀⣀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠟⠁⠀⠉⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⢀⣠⠾⠛⠁⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠈⠉⠒⠶⢤⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠤⠶⠚⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠳⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣄⠀⠀⠀⠀⠀⠈⠛⠺⢯⡿⠉⠉⠉⠹⡏⠉⠁⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠀⠀⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠉⢓⡦⢄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⣰⠇⠀⠀⠀⠀⠀⠀⠀⣠⠖⠋⣀⠐⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⠚⠉⠀⠀⠈⢫⠉⠒⠒⠒⣲⠒⠒⠀⠀⠀⠙⠲⠤⠤⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⣠⡾⡇⠀⠀⠀⣀⣠⡤⠖⠋⠁⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣤⠴⢦⣀⠀⠀⠀⠘⢧⠀⠀⡸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⡗⠒⢺⣯⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⣈⣀⣀⣀⣈⣥⠴⠂⠀⠀⠑⢶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠈⢿⣍⣓⠲⠦⣤⣤⣄⣠⣤⠀⠀⠀⠀⠀⠈⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⣷⠉⠉⠿⠛⠚⠛⠛⠛⠁⠀⠀⠀⠀⠂⠀⠀ ⠀⠀⠀⠉⢀⠀⡀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠈⠳⢤⣄⣀⣀⣀⣀⣀⠀⢠⠤⠐⠀⠀⠀⠀
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⡻⣔⣫⠶⣙⢦⣛⡬⡝⢶⡙⣦⢋⡶⡹⣔⢫⡔⣣⢎⡵⠱⣆⢋⠦⣄⠩⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡱⣎⢯⡳⢵⡣⢟⢦⡹⢦⣙⢦⡛⣜⢣⡝⢦⣙⠳⣌⡳⢥⡛⣜⣳⢺⡵⣫⢞⣷⣣⢟⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣳⠭⣖⣫⡝⢶⢣⣞⡹⢎⡳⣎⡳⢼⡱⣎⢳⠼⡱⢎⡜⡳⣌⠳⣎⢆⡳⢢⡍⣝⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⡹⢮⣝⣧⢻⡝⣮⢳⣏⡞⣶⡹⣬⢳⢞⣣⡝⣯⢶⡹⢶⡹⣞⡼⣣⢟⣵⡻⢾⡱⣎⠷⣹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣗⡻⣬⣓⠾⣭⢳⠮⣝⣫⢵⣣⠟⣥⢳⡝⣎⠷⣙⢮⡱⢳⢬⠳⡜⢮⡱⢣⡚⢬⢣⣙⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡷⣯⠷⣞⡾⣭⣟⡞⣷⡺⣝⡶⣝⡮⣟⢮⣳⢽⣚⣮⣽⢳⣻⣼⢳⣏⣟⣮⢟⣧⢛⡼⢳⡜⣻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣧⣛⠶⣭⢻⡜⣧⢻⡜⣧⢳⣎⠿⣜⡳⢞⡭⣞⠭⡶⣙⢧⣋⠷⣙⠦⣝⢣⡝⣊⠖⣌⠓⢮⡗⣤⡀⠀⠀⠀⠀⠀⠀⠘⣿⣼⡻⢧⣟⡷⣾⣽⣳⢿⣹⢾⣝⡷⣯⢿⣭⢿⡽⣾⣹⢯⣷⣫⢿⣼⣞⡝⡺⣔⢫⡜⣣⠎⡥⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣧⢏⡿⣜⢧⡻⣜⢧⡻⣜⡳⣎⠿⡼⣍⣟⡲⣭⢳⡝⣎⡳⢮⣙⢮⡹⣌⡳⣌⠧⣙⠤⡛⢤⢋⠍⣷⡄⠀⠀⠤⠤⠄⠠⠬⢿⣽⣻⢾⣽⣳⢾⡽⣯⣟⡿⣾⣽⣻⢾⡽⣯⣟⡷⣯⣟⣾⡽⢟⠱⡌⢎⠱⢌⡃⢎⡑⠎⡐⢃⠹⠶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣟⣾⣳⡽⣞⣵⣛⣮⢗⣯⢳⣭⢻⡵⣫⢶⡹⣎⢷⢺⡱⣏⡳⡭⡖⢧⢣⠗⣬⢓⡍⡲⣉⠦⣉⠖⡠⠛⢷⣀⠀⠀⠀⠀⠀⠀⡙⢿⣿⢾⡽⣯⣟⡷⣯⣟⡷⣯⣟⣯⣟⡷⣯⣟⣷⡿⢋⠜⡀⠆⠰⢈⠂⢂⠌⢠⠐⣈⠰⢈⡐⠤⢈⠉⡉⠲⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣞⣷⣻⡽⣮⢷⡽⣞⢮⡟⣼⣣⢟⡵⣫⢷⡹⣎⢷⡹⣜⡳⡵⢫⡝⢮⣙⢦⢫⠔⡳⢌⠲⣁⠎⡱⢃⠜⣺⠳⣄⣤⠴⠒⢊⠁⡘⢻⣿⣽⣳⢯⣟⡷⣯⣟⣷⣻⢾⣝⣻⠷⣛⠩⢐⡈⠰⣀⠘⣀⠂⣁⠊⡐⡀⠒⡀⠆⢂⠰⠐⣈⠒⢄⠂⠄⣙⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣞⡷⣯⢿⡽⣯⢿⣽⣳⢯⣳⣝⡮⣗⢯⡞⣵⢫⡞⣵⢫⢷⣙⠷⣊⡗⣎⠮⢥⠛⡴⣉⠖⡡⢎⡱⢈⠒⠤⢁⠂⡄⣀⠂⠄⠂⢌⠂⡩⢉⢛⣋⠛⡛⠷⡛⠷⡛⢏⡉⢆⠱⣀⠃⠆⡌⢡⢂⠱⣀⠣⠄⢣⠐⡡⢃⠜⡈⢆⠡⢃⠤⡉⢆⣉⠒⡌⢉⣆⡙⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣽⢯⡿⣽⢯⣟⡾⣽⢯⡷⣾⣹⡞⣧⡻⣞⢧⣛⣮⣛⢮⣝⣺⢱⣚⢬⣋⠮⣱⠒⡥⢊⡕⢢⡑⡌⡱⠘⠤⡁⠆⠤⣈⢂⠉⡄⠢⢁⠎⡰⢠⠉⡔⢡⠊⠥⡉⢆⡘⠌⠒⠤⢉⠒⢌⠂⡌⢒⠠⢂⠍⡄⢣⠐⡡⢂⠱⡈⢆⠡⡒⢡⠒⠤⣩⢐⡡⢊⠍⡇⢉⠱⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⣿⣿⣯⢿⣽⣻⣞⡿⣽⢯⣟⣷⣻⣞⡷⣽⡺⣝⡞⣶⡹⣞⢦⡝⡶⣩⠖⣥⠳⣡⠫⡔⢣⠜⣡⠒⡌⢡⡉⢒⠌⡘⡔⢠⠊⠴⡐⣡⠊⡔⢡⢂⡱⢈⠆⣉⠆⣑⠢⡘⢌⠱⡈⢆⡉⢆⠱⡈⢆⡑⢊⡔⢌⠢⡑⠤⢃⠆⡱⢈⠖⣡⢃⢎⡱⢂⠦⣑⠣⢎⡓⠌⢷⡈⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠛⢿⣿⣿⣞⣷⣯⢿⣽⣻⣞⣷⣻⢾⣽⣳⡟⣧⡟⣶⡹⣎⠷⣚⡵⢣⡛⡴⢋⡴⢓⡌⢣⠚⣄⠣⡘⠤⡘⢡⢊⠱⡈⢆⡉⢆⠱⣀⠣⡘⠤⠒⣄⠣⡘⠄⠎⡄⢣⠘⡄⢣⠘⡄⠎⠤⢃⠜⡠⠜⢢⠘⡄⢣⢘⠰⡁⢎⠰⣉⠒⡤⢋⠴⣈⢇⡚⢤⢋⠴⡘⡜⢬⡙⢦⡙⡷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠻⢿⡿⣾⣟⣾⣳⣟⡾⣽⣻⣞⣷⣻⢷⡽⡶⣝⢮⣛⡵⣚⢥⡛⡴⢋⡔⢫⠌⢣⠱⣈⠱⢌⢒⠡⣃⠌⠦⣑⠢⠜⣠⠣⢄⠓⡌⢒⠩⢄⠣⢌⡉⠦⡑⢌⠢⡑⢌⠒⡌⠜⡡⢊⠔⡡⠚⡄⢣⢘⠰⡈⢆⠱⣈⠒⢤⠩⡔⣩⠒⡥⣊⡜⢦⣩⠲⣱⠘⡦⡙⢆⢣⠹⡟⢦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠿⣿⣿⣟⣾⣻⣽⣳⣟⡾⣽⢯⣷⣛⣮⠷⣭⠶⣍⠶⣙⠴⣋⠜⣡⠚⡄⠣⡄⢓⠬⣈⠖⣄⢋⠲⣄⠣⣃⢆⡑⡊⡜⡠⢍⠒⡌⢒⠢⡑⢢⠑⡌⢢⠱⡈⡜⢠⠓⡰⢁⠎⡰⠑⣌⠒⡌⢢⡑⢌⡒⢤⡉⢆⡓⡜⣰⢋⡖⡱⣜⡒⢦⡹⣐⢏⡴⡙⣜⠢⡍⢧⡀⣷⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣻⣿⣷⣟⣾⡽⣯⣟⡾⣽⢮⡟⣶⢫⡜⣣⢍⠶⣡⠚⡤⢃⡜⢡⠜⣨⢒⡡⢎⡰⢊⠵⣠⠓⡴⣈⠲⣁⢒⡡⢎⡘⡰⢉⢆⡱⢡⠚⣄⢃⠦⡑⢌⢢⡑⢢⡉⢆⡡⢍⡄⢣⡘⣡⠘⢦⡘⢦⡙⢦⠱⡎⡵⢪⡜⡱⢦⡙⢦⡓⣭⠲⣜⡱⣊⠵⣌⢣⢅⣻⡘⢦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣾⣟⡷⣯⢿⡽⣾⢽⣎⢷⡙⢦⡙⠦⣅⠫⡔⢣⢌⢣⠚⣄⢣⠒⡥⠒⣍⠲⢄⠫⢔⠢⡓⡌⢦⠑⠦⡱⢡⢋⠴⣈⠇⡚⢤⡉⢖⠩⡜⢢⡑⢣⠜⢢⡑⢎⡔⢣⢒⡥⣋⠶⣩⠖⣭⢲⡹⣜⣱⠳⣼⡙⢶⡩⢧⣙⢦⡛⡴⢣⡝⢎⠶⣩⠎⡽⣇⠸⡇⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⣟⣿⣽⣯⣟⢷⡯⣞⢣⡝⢦⡹⡑⣎⠱⣌⠣⢎⠦⡙⢤⠣⡙⠴⣉⠦⡙⣌⠓⣌⢣⠱⣘⢢⡙⠦⣑⢃⢎⠲⢡⠎⡱⢢⠍⣌⠓⡬⡑⣌⠣⢎⡱⢎⡳⣘⢧⣋⠶⣩⠞⣥⢛⢦⣛⠴⣓⢎⠷⣲⡙⡧⣝⣣⡝⡦⢏⡵⢫⡼⣩⠞⣥⢚⡥⣍⢣⢿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠻⢿⣷⣯⡟⣼⢣⡳⣜⢣⢖⡹⢤⠓⣌⠳⣌⠲⣉⢆⢣⡙⠦⡑⢎⡱⢌⡚⢤⢃⠳⢌⡒⢬⠱⢌⡊⢦⢙⢢⡙⡔⢣⠜⡤⢋⡔⡳⢌⡳⢍⢮⢓⣳⣭⣦⡷⠽⠯⠽⠗⠛⠻⣟⠉⠍⠛⠛⠓⠾⠵⢯⣶⣻⠼⣙⡞⣣⢷⣡⠟⣬⡓⡞⡴⣩⠺⣷⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢈⣿⣷⣻⢬⢇⡳⣬⢓⡎⢖⣣⡙⢆⠳⡌⠳⡌⢎⠦⣑⢣⡙⢢⡑⢎⡜⢢⢍⡚⢤⡙⢢⠍⢦⡉⠖⡌⢦⠱⣌⠣⢞⣰⢋⣼⣡⣧⡼⠞⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠻⢧⣟⣳⢳⡎⣟⡲⣭⢳⡱⢣⢎⢹⣷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⢻⡷⣹⢞⠮⣕⣎⢳⡜⣣⢦⡙⢮⡱⢜⡱⠸⣌⠲⡡⢆⡙⢦⡉⠖⣌⠣⠎⡜⢢⡙⢦⡙⢦⡙⣬⠓⢮⡱⢮⣕⣮⡼⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡄⠀⠀⠀⠀⠀⠀⠈⠛⢷⡿⣜⡳⣵⢫⡵⢫⡜⢢⣿⣦⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣏⢣⢿⡱⣎⡟⣖⢮⢳⡜⣱⢎⡝⢦⡙⢮⡔⠳⣌⢣⢕⠪⡜⢢⡙⠼⢤⢋⡼⢌⠧⡜⢦⣙⢦⡙⣆⣛⣦⠷⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣰⣿⣿⡦⠀⠀⠀⠀⠀⠀⠀⠀⠹⣾⣱⢏⡷⣚⢧⡙⡖⣿⡝⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⣬⢓⣮⢳⡝⡼⣎⡽⢎⡽⢦⣋⠾⣥⢛⡲⡜⣳⠸⣌⢎⡳⣉⠗⡼⣩⠖⣭⢲⠭⣞⣹⢎⣼⣦⠽⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣿⣿⠏⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠸⢿⣮⡳⣝⢮⡝⡼⢼⣷⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡟⡴⣫⢖⣏⢾⡱⣏⢾⡹⣎⠷⣩⢗⡮⢇⣳⡙⢦⡛⡬⢎⡵⣩⢞⡱⢧⣛⠶⣋⠷⣫⡵⡞⠩⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡿⣉⣀⣤⣼⣿⣷⡀⠀⢤⠶⣦⣳⣦⡌⢿⣽⢮⣳⡹⡜⣦⣿⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡼⣱⢣⡟⣼⢣⡟⣼⢣⡟⣼⢫⡗⢯⡞⣝⡲⣝⣣⡝⣞⡱⢮⢵⡫⣝⢮⣓⢯⣳⠿⢋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠃⣼⣛⢾⣵⣳⣾⡝⣎⣿⣳⢧⡳⣍⣿⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⡱⣭⢳⡝⣮⢳⣏⢷⣫⡽⣎⣷⡹⣧⢻⣜⣳⡝⣶⡹⢮⡝⡯⢶⡹⣎⢷⡽⠫⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣧⣀⣀⠀⠀⠚⢴⣫⣟⣾⣳⢿⣿⡧⢿⣟⡾⣱⢲⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡷⡱⣭⢳⡝⣞⣳⢞⡯⢶⣏⢷⢮⢷⣹⣏⢾⣱⡻⣖⡻⢧⡻⣝⢮⣷⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠻⠿⣿⣿⣿⣿⡦⡜⢦⣻⣞⡷⣯⣟⣯⡷⣿⣯⢷⣻⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡷⣹⢎⡷⣹⡞⣵⡻⣞⠿⣼⣏⢿⣚⡷⣞⢯⣳⡽⣽⣹⢏⡷⣫⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⢹⡜⢧⡿⣽⣳⣟⡾⣙⣿⡽⣾⡿⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡗⣧⢻⡜⣧⣻⢵⣻⢭⣟⠷⣞⣯⣻⡼⣏⡿⣼⣳⡽⢮⣿⣼⠃⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢘⣳⡝⢾⡱⡾⡅⣼⣿⣳⡿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡟⣴⢫⢾⣱⢯⡾⣭⡟⣾⣻⡽⣶⢯⡷⣯⡽⣶⣻⢼⣿⠟⡘⠒⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⣯⣴⣟⣿⠀⠀⠠⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠰⠰⢎⢱⠻⢄⣴⣿⣿⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣟⡲⣏⢷⣫⣞⡷⡽⣞⡷⣽⢾⡽⣳⣟⣳⣟⣳⢿⣹⠏⠀⠃⠀⠀⠀⢸⣿⣿⣿⣿⣶⣶⣾⣶⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠘⠻⠿⠛⠁⠀⢀⢤⣰⣼⡏⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⣨⣾⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⡟⣮⣳⠾⣽⣽⣫⡽⣞⣯⣟⡷⣯⢷⢯⣻⢾⡟⢠⠀⠀⠀⠀⠀⠈⠉⠛⠛⠟⠛⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⣄⣨⣿⣾⢿⣿⡏⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⡿⣜⣳⣭⡟⣷⡞⣷⣻⡽⣞⡾⣽⢯⣟⣯⢷⣿⢀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⡿⠱⠀⠀⠀⠀⠀⠀⠀⠑⣶⣖⣲⣾⣶⣶⣿⡿⡿⢭⢸⣻⣿⡇⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣹⠶⣽⡞⣷⣻⠷⣯⡽⣯⢿⣽⣻⢾⣽⣿⠃⠐⠂⠀⠀⠀⠀⠀⢰⣾⣿⣿⡿⠟⠉⣷⣿⣿⠟⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠉⠹⣿⣟⢧⣓⠔⢢⠑⣊⢜⣹⣿⡼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣧⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣏⡟⣶⣻⢳⣯⣟⣷⣻⣽⣻⢾⣽⣻⣿⢾⠀⠀⠁⠀⠀⠀⢀⡀⡌⠹⠏⠁⠀⢀⣼⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣜⠻⣿⣯⣭⡗⣮⣴⣾⢿⠨⠁⠁⠀⡀⢀⠠⠀⢀⠐⠂⣀⣶⡽⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣻⡾⣵⣻⢾⡽⣞⡷⣯⣟⡿⣾⡽⣯⣿⡇⠀⣀⢀⣳⣛⢿⣩⢟⣋⣛⢦⢈⢹⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⢊⣋⣩⣟⢏⣍⡳⠋⠊⢀⠐⠠⠐⢂⢌⣶⣶⣮⣟⠋⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣱⢯⡿⣽⢯⣟⡷⣯⣟⣷⣻⣟⣾⣇⠦⣿⢎⡵⣯⣞⡷⣯⢾⡜⣮⠿⣷⠆⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⢀⣸⠐⠊⠆⠡⢀⠐⡈⠤⣘⣤⡟⣿⢶⡟⠹⠓⠞⠹⠉⢩⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣭⢷⣻⣽⣻⢾⣽⣳⣟⣾⣳⢯⣿⣿⠆⣿⢾⣹⢯⡿⣽⢯⡿⣽⢮⡻⣜⠣⢦⡄⡀⢀⠀⡀⢀⠀⠠⢀⠠⠀⠄⡀⠂⠥⠒⢢⠒⢆⡈⡅⣮⣠⣅⢺⡒⠓⠎⠠⢁⠿⢚⡁⠆⢌⠠⢳⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠒⠒⠒⠒⠒⠲⠄⠦⣙⡆⠀⠤⠴⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀ ⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣷⡱⢌⢢⡑⢂⡒⡐⢂⡒⡐⢂⡒⡐⢂⡒⡐⢂⡒⡐⢂⡒⡐⢂⡒⠰⡈⢆⠱⣊⠽⣿⣷⣄⣴⣾⣿⢟⡫⢒⠥⢒⡐⢂⡒⡐⢂⡒⡐⢂⡒⡐⢂⡒⡐⢂⡒⡐⢂⡒⡐⢢ ⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣻⣿⣿⣎⠖⡌⠱⢠⠡⢃⠔⡡⢃⠔⡡⢃⠔⡡⢃⠔⡡⢃⠔⡡⢃⠌⡱⢈⠆⡓⡌⢮⢹⣿⣿⣿⢟⡱⢊⠴⡉⢆⠣⡘⠄⢆⡉⢆⠰⣁⠣⡐⢡⠃⡔⢡⠃⡔⢡⠃⡔⢡⢂ ⣀⣴⣿⣿⣦⣄⠀⠀⠀⠀⠀⢀⣠⣶⣿⣷⣤⡀⠀⠀⠀⠀⠀⢀⣤⠾⠿⣦⣄⠀⠀⠀⠀⠀⠀⣠⣾⠿⣿⣿⣿⣯⡜⣡⠣⡜⢢⡘⢄⠣⡘⢄⠣⡘⢄⠣⡘⢄⠣⡘⡄⢣⠘⡄⢣⠘⡴⣉⠞⣾⣿⡟⢣⠎⢲⠉⢆⠱⡈⢆⠱⡈⢆⡘⢄⠣⢄⠣⡘⢄⠣⡘⢄⠣⡘⢄⠣⡘⢄⢊ ⠟⠟⠀⠀⠉⠛⠿⢷⣾⣶⠿⠿⠛⠉⠀⠀⠙⠻⢿⣶⡷⠾⠛⠋⠁⠀⠈⣿⠟⠳⠶⠶⠶⠶⠛⠉⠀⠀⠀⣹⣿⣿⣿⣔⣣⠜⣢⠘⡤⢃⠜⡠⢃⠜⣠⢃⡜⠬⡱⠱⣌⣣⣓⣬⢡⠳⡰⣥⣿⡿⢏⡜⡡⢎⠡⠚⡌⢢⠑⡌⢢⠑⢢⠘⡄⠣⢌⠢⡑⢌⠢⡑⢌⠢⡑⢌⠢⡑⢌⠢ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠆⠀⠀⠀⠀⠀⠀⢿⡃⠀⠀⠀⠀⠀⠀⠀⣠⣶⡿⠟⠛⠛⠛⠻⢿⣿⣦⡹⣄⠣⢜⢠⠣⣘⡐⠦⣜⣵⣿⡿⠿⠛⠛⠻⢿⣷⣿⣿⡿⡙⢦⡘⢡⠊⡔⢣⠘⡄⢣⠘⠤⡉⢆⠱⣈⠱⡈⢆⠱⡈⢆⠱⡈⢆⠱⡈⢆⠱⣈⠒ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⣼⣿⠏⠀⠀⠀⠀⠀⠀⠀⠉⠿⣿⣦⡙⢦⠁⡞⢤⢚⣷⣿⠟⠁⠀⠀⠀⠀⠀⠀⢹⣿⣿⢡⡙⢆⢌⠡⢊⠔⡡⢊⠔⡡⢊⠔⡡⢊⠔⡠⢃⠜⡠⢃⠜⡠⢃⠜⡠⢃⠜⡠⢃⠄⢣ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠐⣿⡯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣯⢆⡹⣐⢣⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡇⢧⠘⡌⢢⠉⢆⡘⢄⠣⡘⢄⠣⡘⢄⠣⡘⢄⠣⡘⢄⠣⡘⢄⠣⢎⠔⡣⠘⣄⠣⡘⠤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣯⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠈⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣷⣴⣭⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡜⢢⠱⡈⢆⡉⢆⡘⢄⠣⡘⢄⠣⡘⢄⠣⡘⢄⠣⡘⢄⠣⡘⢬⡑⢮⣾⡇⠱⢂⠱⣈⠒ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡃⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠸⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠛⠉⠛⠻⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣎⢇⠲⣁⠦⡘⠤⡘⢄⠣⡘⢄⠣⡘⢄⠣⡘⢄⠣⡘⢢⡑⢭⣢⣽⣿⢋⡜⡡⢍⠒⠤⣉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⣻⣿⣆⠀⠀⠀⠀⢀⡠⢤⣤⣾⠏⠀⠀⠀⠀⠀⠈⣿⣷⣤⣤⣄⡀⠀⠀⠀⠀⣾⣿⣿⣎⡕⢢⢆⡑⢢⠑⣌⠢⡑⡌⢢⡑⢌⢢⢑⡊⢥⣑⢣⣞⣷⣿⡟⢥⢃⠦⡑⢌⡘⠰⢠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠈⣷⡀⠀⠀⠀⢀⣿⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⢿⡆⠀⠀⠀⠀⠀⠀⣾⡟⠀⠈⠉⠁⠀⠀⠀⠘⢿⣿⣿⣿⣾⣇⢦⡙⢦⢩⣄⠳⡰⢌⡥⣘⠬⣆⢣⣞⣶⣾⣿⣿⢟⡡⢚⡔⢊⠔⡡⠢⢌⡑⠢ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡆⠀⠀⠀⠀⠀⠀⠀⢹⣆⠀⠀⢀⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣤⣀⡀⣀⣠⣼⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡻⢿⣿⣿⣿⣾⣶⣮⣷⣽⣾⣶⣷⣿⣿⣿⣿⡿⠿⡙⢆⠎⡔⢣⠘⡄⡊⠔⡡⠢⢌⡑ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⢨⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠿⢿⢿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡟⢦⢍⡛⢻⠻⡟⠿⠿⠿⡟⢿⠻⢟⢫⢋⠵⣈⠧⡙⠤⢋⠔⡡⢊⠔⡡⠚⡄⢃⠆⡘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠘⠇⠀⠀⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⠏⡞⣡⠚⡜⢿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⢏⠲⡌⠜⡡⠣⢍⡩⢃⢇⡙⠢⡍⠎⠦⣉⠦⡁⠦⣁⠓⡌⢢⠑⡌⢢⢁⠣⡘⢄⡊⢅ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣷⣤⣤⣤⣤⣤⣶⣿⢟⠻⣄⠳⣈⠔⠣⠜⣌⠛⣿⣿⣶⣤⣤⣀⣀⣤⣴⣿⡿⣋⠬⠓⡌⡑⢢⠉⢆⠒⡡⠢⢌⠱⡈⠜⡰⢠⢂⡑⠢⢄⠣⡘⢄⠣⡘⢄⠊⡔⢡⠂⡜⢠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⢛⠟⣛⢏⠫⣍⠲⢌⢣⠰⢡⠒⡌⢃⡚⢄⠫⡔⢬⣙⠻⢟⠿⠿⠿⡛⡍⢲⢁⠎⣑⠢⡑⢢⠉⢆⡑⢢⠑⡌⢢⢁⠣⠔⡡⢂⢌⠱⡈⢆⠱⡈⢆⠱⡈⠜⡠⢃⠜⡠⢃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⢟⡰⢋⡜⠰⣊⠱⡨⠜⡂⢆⡑⢢⠑⡌⢢⠘⡄⠓⡌⢆⠢⢍⠪⡙⣌⠣⠱⠌⣅⠊⡜⢠⠃⡜⢠⠉⢆⡘⢄⠣⡘⢄⠊⠴⡁⠦⡁⢎⠰⡁⢎⠰⡁⢎⠰⣁⠚⡄⢣⠘⡄⢃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⡟⢣⠎⡔⠣⢌⠱⣀⠣⠔⡡⡘⠤⡘⢄⠣⡘⢄⠣⢌⠱⡈⢆⡑⢊⠔⡡⢂⡙⠰⡉⢄⠣⡘⢄⠣⡘⠤⡉⢆⡘⢄⠣⡘⠤⡉⢆⡑⢢⠑⡌⢢⠑⡌⢢⠑⡌⠒⡄⢣⠘⡄⢣⠘⠤ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣇⠲⡌⢥⢊⣵⣿⡿⠁⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣷⣯⣢⡑⢎⠰⣁⠎⡰⢁⠎⡰⢁⠎⡰⢈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣷⡓⡜⣢⢽⣾⡟⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣾⣌⡓⢤⠚⡄⢣⠘⡄⢣⠘⡄⠣ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⡴⢣⣾⣿⠁⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣆⡱⢌⢣⡘⢄⠣⡘⢄⠣ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣣⣿⣿⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣘⢢⠜⡠⢃⠜⡠⢃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣷⣿⣿⣄⣀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣆⢣⠱⢌⠢⡑⠌ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠿⠻⠿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡴⠶⠶⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣮⢘⠆⡱⢈⠜ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣧⣦⠀⠀⠀⠉⠻⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⣄⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠹⣿⣇⢎⡱⢈⠒ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡿⠟⠉⠁⠀⠀⠀⠀⠀⠙⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢷⣄⣀⣀⣤⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⢶⡶⠾⠿⠋⠁⠀⠀⠀⠀⠀⢿⣿⠢⣅⠋⡌ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣖⡀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡓⠬⡑⢌ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⢦⣀⠀⠀⠀⠀⠀⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡃⠧⡑⢌ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠋⠛⠿⣿⣿⣶⣤⣶⣶⣿⣶⣶⣶⣦⣤⣄⡀⠉⠙⠓⠚⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⡉⢖⡉⢆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⡭⢏⡽⣙⠻⠿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠣⡜⢢⠜⢢ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣦⣀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡇⢦⢡⠋⢖⡡⢎⡛⢿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⢣⠱⡌⢣⢎⣱ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⢿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⠠⢇⠚⢤⠘⢢⡉⠖⡬⢛⠿⣿⣿⣶⣶⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⠻⣤⢣⣳⣼⣷⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡓⢬⡉⢆⡉⠆⠬⡑⠦⣉⠶⢨⢍⡛⠻⠿⠿⡿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣷⣿⠿⠟⠛⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣍⠲⡌⢢⠘⡌⢢⠑⡒⠤⢊⢅⠢⣉⠱⣉⢎⠱⢒⠬⠥⣋⠭⣍⢫⡝⣻⣿⣿⣿⡛⠛⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠁⠈⠙⢿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣯⢲⢡⠣⡘⢄⠣⡘⢄⠣⢌⠢⡑⠤⢃⠔⡨⢊⡒⢌⡒⣡⠒⣌⠲⣜⣵⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠀⠀⠀⠀⠈⠛⠿⣿⣶⣤⣄⣀⡀⠀⠀⢿⣿⣧⡎⡱⡡⢎⠔⣡⠊⡔⡊⡔⢡⠎⡐⢎⡑⢆⡩⢒⠼⢤⣻⣼⣿⣿⣿⣿⠿⣟⠿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢻⣿⣿⠿⣿⣿⣿⣿⣿⣥⣓⣎⠚⡤⢓⡜⠴⣘⠆⡎⠵⢪⣜⣦⣵⣿⣾⣿⠿⠛⠉⠙⢿⣿⣝⣮⣽⣿⣿⣷⣦⣤⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡇⠀⠀⠀⠀⠈⠙⠻⠿⢿⣿⣿⣷⣾⣿⣾⣿⣿⣿⣿⠿⠿⠛⠋⠉⠀⠀⠀⠀⢀⣼⣿⠿⠟⠛⠉⠉⠉⠛⠻⢿⣿⣦⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣷⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇
⠀⠀⠈⠻⣾⣷⢠⠄⠄⠈⠀⠈⠉⢉⠈⢠⡶⠛⠉⠉⠉⠉⠙⢿⣧⡀⠉⠉⠋⠙⠻⢿⣿⣿⡿⠋⠉⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣇⠀⠀⣀⣬⣿⣿⠀⠀⠀⠀⠀⠀⠀⢲⡏⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⣅⡀⠀⠀⢰⡀⠾⠋⠓⠀⠀⠉⠛⠺⣟⣟⠛⢿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢿⡞⣫⠿⠒⣂⣃⣶⠶⢦⡀⠀⠀⢨⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡇⠀⠀⢠⣵⢶⡶⠶⠿⢿⣿⠛⠿⠿⣿⢷⣼⣿⣿⣿⣿⣿⡿⠛⠉⠉⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣏⣡⠶⠛⠉⠉⠙⠻⢦⡙⢧⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⣼⡏⣿⠁⠀⠀⠈⣿⠀⣿⠀⣿⡇⣿⣟⣻⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⡿⠋⠀⠀⠀⠀⠀⠀⠈⢳⡌⢧⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⢹⡇⣿⡀⠀⠀⠀⣿⠀⣿⠀⢸⡇⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠘⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⡆⢿⣿⣹⣧⠀⠀⠀⣿⠀⡟⠀⣸⣇⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢧⡀⠀⠀⠀⠀⠀⠀⠀⣼⢃⡎⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡉⣼⣿⣿⡿⣷⣶⣶⣿⣷⣦⣤⣿⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣌⠻⣦⡀⠀⠀⢀⣠⡾⣣⡾⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⡟⢹⣿⣿⣿⣿⡿⠿⠿⠿⠿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⠁⠉⠻⢦⣍⣉⡉⢉⣤⢾⠿⠃⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡟⡇⠀⣿⣿⣿⠯⢤⢠⡄⣤⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠟⠉⠉⢿⣿⡿⠿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⡏⢸⠀⠀⠀⠀⠀⣷⣀⣀⡀⠀⡴⠚⠛⢲⡄⠀⠀⠀⢸⣷⣧⣤⡿⠿⠟⠛⠛⠛⠓⠛⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡇⠀⣀⣀⡘⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⣼⠏⠁⠈⠉⣺⣇⡀⠀⢠⡇⠀⠀⠀⢸⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⣰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣥⡿⠚⠉⠉⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⢀⡞⠁⠀⠙⢧⠻⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣷⠞⢧⡀⠀⣠⠞⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⠀⠀⠈⢹⠗⠤⠤⠴⠃⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⠁⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠙⠦⠤⠴⠋⠀⠀⠀⠀⠀⢀⡴⠞⠋⠉⠈⠉⠓⠶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⣿⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡶⠹⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⢀⣾⣋⡤⠴⠶⠒⠚⠛⠓⠒⠲⠶⠦⢤⣀⡈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⢀⡴⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⣴⠋⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⡟⠀⠀⠀⠀⠀⣠⠞⢁⣴⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣷⡀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢹⠃⠀⠀⠀⢀⡴⠁⠀⣾⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠀⠘⣦⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⠀⠀⠀⢀⡞⠁⠀⠀⢻⣿⣿⣿⣿⡟⠀⠀⠀⠀⠾⠿⠇⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⢸⡃⠀⠀⠀⠀⠉⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠁⠀⠀⢸⠟⣧⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⣄⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢤⣀⣠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⣿⠀⠀⠀⠀⣠⡾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠙⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠀⡼⠁⠀⠀⢀⣶⠋⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠘⢿⡳⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢏⣠⠞⠁⠀⢀⡴⠋⣿⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠶⣄⡙⢦⡈⠙⠲⠦⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡤⠾⢛⡽⠋⢀⣠⠞⠋⠀⠀⡇⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡶⢿⣦⣀⠀⠀⠀⠈⠉⣙⠿⠻⣿⠛⠛⠛⠛⠋⠉⠁⠀⢀⣴⣻⢤⡾⠋⠀⠀⠀⠀⠀⡇⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠈⠉⠓⠦⢤⡴⠚⢉⣀⣄⡈⠻⢦⣀⣀⣀⣀⡤⠞⠛⠉⠀⠀⢹⡀⠀⠀⠀⠀⣠⣧⣀⣀⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠁⠀⠙⡆⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⢧⠀⠐⠚⠛⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⣀⣀⣰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠬⢭⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠁⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢸⣿⠋⠙⠛⠛⠂⠀⠀⠀⠀⠀⠈⠙⠛⠛⠛⢻⡖⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠙⠛⠛⠛⠀⠀⠀⠀⠀⠒⠚⠛⠛⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡰⠄⠀⣀⣄⣤⠶⠶⠶⢷⣄⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⣀⠊⣷⠵⠾⠛⠉⠀⠀⠀⠀⠀⠀⢹⣥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠛⣷⡀⡌⠁⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠝⡇⣇⢀⠀⠰⡄⠀⠀⠀⠀⢀⣷⣭⣤⣄⣀⡀⠀⠀⠀⢀⡘⠀⣔⣿⡸⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⣿⣽⠁⠀⠀⠀⠀⠀⠀⠀⢀⣴⠶⠶⢶⣿⡈⢀⡇⠀⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠈⠿⠉⠉⢙⣿⣦⣰⣿⠏⠻⣿⢇⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢻⣦⠀⠀⣠⣔⣥⣤⣴⡿⡁⠀⠀⠘⢹⣟⠛⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠛⢿⡆⠀⢻⡇⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢹⣷⣾⠯⡁⠈⠍⣿⣠⣤⣄⡀⠀⢀⡿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣡⣠⠌⠻⣷⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣧⣷⣿⠋⠩⡇⠀⠀⠀⣼⠏⠉⠀⠉⢻⣆⠘⠛⢾⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⢝⠻⢦⣈⣿⣆⡀⢄⡀⠀⠀⠀ ⠀⠀⠀⠀⠠⢻⡟⢁⠀⢸⣧⢠⠂⠀⢿⡀⠀⡀⠀⢠⡿⡀⠈⠂⠹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢴⡢⠌⠉⠉⠛⠒⠲⢶⣦⡀ ⠀⠀⠀⠀⠀⣿⠁⠈⠠⠀⠉⢷⣳⠀⠈⠻⠦⠤⠴⠟⠁⠀⠀⢀⣽⠇⢀⠀⠀⣀⠀⠀⠀⠀⠀⢤⣀⠄⠀⠀⡀⠀⠀⠀⠀⠠⣄⣉⠀⠠⠄⠀⠀⠐⠀⠀⢹⡇ ⠀⠀⠀⠀⠀⣿⠀⠀⢰⡔⠀⠸⣧⠀⠀⠠⠐⠁⢀⣾⠶⡶⠶⢟⡋⠀⠀⠀⠘⣰⡷⠦⠤⠤⠤⠤⠼⡛⠿⣆⡠⡄⠀⠀⠀⣠⢤⡙⠷⣤⣀⠀⠀⠀⠀⠀⣰⡇ ⠀⠀⠀⠀⠀⣿⡆⢄⣼⡗⠀⠀⠹⢧⣌⣓⣂⣠⣶⠃⠀⠀⡄⣤⣩⣲⣤⣴⡿⡋⣀⣤⣽⣥⣤⣤⣤⣥⣤⣀⡙⠒⢒⣲⣶⠎⠁⠀⢀⠈⠉⠻⣶⣶⣶⠶⠟⠁ ⠀⠀⠀⠀⢰⡏⣠⡿⠋⠀⠀⠀⢀⣒⣭⢅⡝⠉⠁⠀⠀⢀⣼⢻⣻⣏⡥⢿⣟⠋⠉⠁⠀⠀⠀⠀⠀⠙⠪⠉⠉⠛⠦⢤⡻⣦⡀⠀⠀⠙⢦⠀⢸⡇⠀⠀⠀⠀ ⠀⠀⠀⢀⣼⠷⠋⠊⣱⠀⠠⡀⣸⡟⠀⠉⠑⠒⡄⢈⣾⠟⣿⠾⡛⠑⠒⠁⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣦⡛⢿⡿⠶⣤⣴⠀⠁⢸⡇⠀⠀⠀⠀ ⠀⠀⢰⡟⠋⠀⠀⠀⠀⠈⣢⣾⠏⠀⠀⠀⠀⢑⡟⠫⣱⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣷⠈⢷⡄⣿⢼⡀⠀⣿⡀⠀⠀⠀⠀ ⠀⡄⣿⠄⢀⠀⠀⠀⣀⣻⡿⡃⠈⠠⢄⠀⠀⣸⣧⡼⢃⣴⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⡆⠘⣿⣏⡏⢳⠀⢸⡇⠀⠀⠀⠀ ⠀⠇⢿⡀⢘⠦⣀⣀⣾⠟⢄⣙⣄⠀⠀⠀⣸⣿⡟⢠⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⣀⣄⠀⠀⠀⠀⠙⢿⣿⣿⣿⡿⠁⠀⢸⣿⣷⡄⠀⣼⡇⠀⠀⠀⠀ ⠀⠀⠈⠻⢷⣶⣾⠋⡠⠀⠚⠳⠬⡵⢠⣾⠋⡟⡘⢸⣿⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠟⠋⣐⣄⠀⠀⠀⠀⠙⠛⠉⠀⡀⠀⢸⣿⠋⢁⣼⣟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢧⢿⡌⠲⠀⠀⠀⠀⢣⠀⢹⡇⡇⡇⠘⣿⣿⣿⣿⣿⣿⠗⠀⠀⠀⠀⣶⣶⣶⢿⡿⣿⡦⠀⠀⠀⠀⠀⠀⠀⠘⢦⡿⠋⣠⡿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠳⠟⠿⣦⡀⢀⠀⣄⡼⡎⢸⡇⣇⢧⠀⠘⠿⣿⣿⠿⠋⠀⠀⠀⠀⠀⣿⣽⣽⠀⢰⣿⠣⠇⠀⠀⠀⠀⠀⠀⣰⡿⠁⣻⡏⠐⠂⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⢀⠎⠀⠀⠾⣷⣿⡐⢳⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠉⠿⣿⣷⣿⠟⠉⠀⠀⠀⠀⣀⣴⠟⣋⣒⣴⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡽⢧⡈⠀⠀⠀⠀⢨⣿⣷⡀⠀⠀⣀⠀⠀⡀⠀⠀⠀⠀⡀⢀⡀⠀⠀⢀⣴⠶⠚⠲⢶⡾⠯⣅⣼⡟⠋⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠿⢦⣄⠀⢀⣀⠘⢿⠻⠷⣄⣀⣀⣀⣀⣢⣠⡾⢛⡩⠍⠙⢷⣤⡟⠁⠀⠀⠀⠈⢿⡄⠉⠈⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢽⡭⣿⠇⠁⠊⠐⠿⠁⠀⠀⠀⠀⣾⠿⠵⠃⠈⠑⠀⠁⢻⣄⠠⠄⠀⠀⠀⢸⡇⡎⢀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⣡⣿⠀⠀⠀⠀⠀⠀⠒⠖⠢⠤⣾⢠⢳⠀⠀⠀⠀⠀⣸⡇⠃⠀⠀⠀⠀⢸⡇⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣣⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣴⠏⠀⠆⠀⠀⠀⠀⣰⣿⣿⡀⠀⠀⠀⠀⣸⣥⣀⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣜⣩⡇⠀⠀⠀⠀⠐⠀⠀⠀⠀⢹⠀⠀⠀⢐⠒⣠⡾⠋⠀⠉⠛⠷⠶⠶⢻⡿⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⢿⣦⣄⡀⠀⠀⠀⠀⢀⣠⡾⠶⣂⡰⠶⠟⠍⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠻⣦⢦⠴⠾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⣀⢺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡤⠀⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠟⣿⣆⠀⠀⠀⢀⡀⠌⣰⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⢸⡆⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⢷⠿⠿⠶⣼⣤⣶⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠻⢦⣄⣀⣀⣀⣠⣴⣟⠉⠀⠀⠀⠀⠀⠀⠀⠁⣁⣙⡛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠈⢣⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠛⣇⠀⠀⠀⠀⠀⠈⠳⣤⡀⢀⡞⠃⠀⢠⠋⠁⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠉⢯⠀⠀⠀⠀ ⠀⠈⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⣱⠿⣄⠀⢀⡎⠀⠀⢈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀ ⠀⠀⠘⣆⠀⠀⠀⠀⠀⣤⠖⠋⠉⠓⢦⡀⢸⡄⠀⠀⠀⠀⠀⣠⡾⠁⠀⠀⠀⢸⠁⠀⠀⡌⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀ ⠀⠀⠀⠸⣄⣠⠤⠴⣾⠁⠀⠀⠀⠀⠈⣧⠀⡇⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⡎⠀⠀⠀⣷⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⢧⠀⠀ ⠀⠀⠀⡴⠋⠀⠀⢀⣤⠶⠒⠲⢤⠀⢀⠟⠀⣇⡠⠴⠶⠚⠒⠒⠒⠒⠒⠲⠶⠷⢤⣀⣀⠘⣀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡘⣆⠀ ⠀⠀⢸⡇⠀⠀⣠⠏⠀⠀⠀⠀⠀⢳⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠻⡀ ⠀⠀⠀⠳⣄⠀⠹⡄⠀⠀⠀⠀⠀⣸⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⢧ ⠀⠀⠀⠀⠈⡷⠀⠙⠢⠤⣀⡤⠔⠋⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏⠀⠀⠀ ⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⢀⡖⠲⠖⠒⠋⠁⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⡀⠀⠀⠀⢀⣰⠟⠀⠀⠀⠀ ⠀⠀⠀⢀⡾⠛⢦⡀⠀⢀⡴⠋⠀⠀⠀⣀⡤⠔⠒⠚⠉⠉⠉⠁⠀⠀⠀⠀⠉⠉⠙⠒⠢⣤⡀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠒⢶⡋⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠏⠀⠀⠀⠉⠉⠁⠀⣀⡴⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢦⣄⠀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀⠀⠀⠀⠀ ⠀⢠⠏⠀⠀⠀⠀⠀⢀⡤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢤⡀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀ ⢀⡎⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢆⠀⠀⠀⠀⠀⢈⣇⠀⠀⠀⠀ ⢸⠇⠀⠀⠀⢠⠞⠀⠀⠀⠀⣴⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣷⣦⠀⠀⠀⠈⠳⡄⠀⠀⠀⠀⢸⠀⠀⠀⠀ ⣸⠀⠀⠀⢠⠏⠀⠀⠀⣠⣸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⡄⠀⠀⠀⠙⣆⠀⠀⠀⢸⠀⠀⠀⠀ ⣿⠀⠀⠀⡟⠀⠀⠀⣠⡇⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⠘⠀⠀⠀⠀⠹⡀⠀⠀⢸⠀⠀⠀⠀ ⢹⡆⠀⢸⠁⠀⠀⠀⠘⠁⢻⣿⣿⣿⣿⣿⡏⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⡇⠀⠀⣸⠀⠀⠀⠀ ⠈⢳⠀⠸⡆⠀⠀⠀⠀⠀⠀⠛⠻⠿⠟⠛⠀⠀⠀⠀⠀⠀⠀⣴⣖⣶⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⡗⠀⢠⡏⠀⠀⠀⠀ ⠀⠈⣇⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⡾⠓⠀⠀⠀⠀ ⠀⠀⠈⢧⡘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⣀⣀⣀⣀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⢀⡜⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢾⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠿⠟⠛⠛⠉⠀⠀⠈⠉⠉⠁⠀⠉⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣵⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠳⣄⠀⠀⠀⠀⠀⠀⣰⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀⠀⣠⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠢⢄⡀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠞⠋⠉⠉⠙⠓⢶⡇⠀⠀⠀⣀⡤⠞⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⠚⠋⠓⡲⠼⠧⣤⣀⣀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⢱⣶⡲⡿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣆⠀⠀⠙⠶⣄⡀⠈⠉⠉⠛⣶⢿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠃⣠⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢓⣦⡀⠀⠀⠙⠀⢤⢀⣴⠃⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠗⠋⢹⣤⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠀⠉⢲⢤⣀⠀⢀⡞⠑⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣠⠤⣄⣰⠃⠀⠀⢀⣼⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠉⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡼⠁⠀⠀⠸⠃⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣀⠀⠀⠀⠀⠀⢀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠄⠈⠙⠓⠒⠒⠚⠉⢹⡠⠒⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣧⡀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠈⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠓⠙⠓⠦⠤⠤⠴⠒⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ _ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⢸ ⣿ ⠋ ⠙ ⠛ ⠛ ⠂ ⠀ ⠀ ⠀ ⠀ ⠀ ⠈ ⠙ ⠛ ⠛ ⠛ ⢻ ⡖ ⡄ ⠀ ⠀ _ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⣿ ⠙ ⠙ ⠛ ⠛ ⠛ ⠀ ⠀ ⠀ ⠀ ⠀ ⠒ ⠛ ⠛ ⠛ ⣿ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ . ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⢻ ⡄ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠻ ⡄ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⢀ ⠀ ⠀ ⢸ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⢸ ⡏ ⡀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ _ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ _ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠘ ⢻ ⡄ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⢻ ⡰ ⠄ ⠀ ⣀ ⣄ ⣤ ⠶ ⠶ ⠶ ⢷ ⣄ ⣸ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⢸ ⣿ ⠃ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ _ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠈ ⢿ ⣦ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⡐ ⣀ ⠊ ⣷ ⠵ ⠾ ⠛ ⠉ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⢹ ⣥ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⣿ ⢹ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ _ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠛ ⣷ ⡀ ⡌ ⠁ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠐ ⠀ ⠀ ⠝ ⡇ ⣇ ⢀ ⠀ ⠰ ⡄ ⠀ ⠀ ⠀ ⠀ ⢀ ⣷ ⣭ ⣤ ⣄ _ ⣀ ⡀ ⠀ ⠀ ⠀ ⢀ ⡘ ⠀ ⣔ ⣿ ⡸ ⢧ ⡀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ _ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠙ ⣿ ⣽ ⠁ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⢀ ⣴ ⠶ ⠶ ⢶ ⣿ _ ⡈ ⢀ ⡇ ⠀ ⠁ ⠀ ⠀ ⠀ ⠀ ⠀ ⠉ ⠀ ⠀ ⠀ ⠈ ⠿ ⠉ ⠉ ⢙ ⣿ ⣦ ⣰ ⣿ ⠏ ⠻ ⣿ ⢇ ⡀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ _ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ _ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠈ ⢻ ⣦ ⠀ ⠀ ⣠ ⣔ ⣥ ⣤ ⣴ ⡿ ⡁ ⠀ ⠀ ⠘ ⢹ _ ⣟ ⠛ ⡄ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠁ ⠛ ⢿ ⢿ ⠀ ⢻ ⡇ ⠇ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ . ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢹⣷⣾⠯⡁⠈⠍⣿⣠⣤⣄⡀⠀⢀⡿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣡⣠⠌⠻⣷⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣧⣷⣿⠋⠩⡇⠀⠀⠀⣼⠏⠉⠀⠉⢻⣆⠘⠛⢾⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⢝⠻⢦⣈⠀⣿⣆⡀⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⢻⡟⢁⠀⢸⣧⢠⠂⠀⢿⡀⠀⡀⠀⢠⡿⡀⠈⠂⠹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢴⡢⠌⠀⠉⠉⠛⠒⠲⢶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠁⠈⠠⠀⠉⢷⣳⠀⠈⠻⠦⠤⠴⠟⠁⠀⠀⢀⣽⠇⢀⠀⠀⣀⠀⠀⠀⠀⠀⢤⣀⠄⠀⠀⡀⠀⠀⠀⠀⠠⣄⣉⠀⠠⠀⠄⠀⠀⠐⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⢰⡔⠀⠸⣧⠀⠀⠠⠐⠁⢀⣾⠶⡶⠶⢟⡋⠀⠀⠀⠘⣰⡷⠦⠤⠤⠤⠤⠼⡛⠿⣆⡠⡄⠀⠀⠀⣠⢤⡙⠷⣤⠀⣀⠀⠀⠀⠀⠀⣰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⡆⢄⣼⡗⠀⠀⠹⢧⣌⣓⣂⣠⣶⠃⠀⠀⡄⣤⣩⣲⣤⣴⡿⡋⣀⣤⣽⣥⣤⣤⣤⣥⣤⣀⡙⠒⢒⣲⣶⠎⠀⠁⠀⢀⠈⠀⠉⠻⣶⣶⣶⠶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⡏⣠⡿⠋⠀⠀⠀⢀⣒⣭⢅⡝⠉⠁⠀⠀⢀⣼⢻⣻⣏⡥⢿⣟⠋⠉⠁⠀⠀⠀⠀⠀⠙⠪⠉⠉⠛⠦⢤⡻⣦⡀⠀⠀⠙⠀⢦⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣼⠷⠋⠊⣱⠀⠠⡀⣸⡟⠀⠉⠑⠒⡄⢈⣾⠟⣿⠾⡛⠑⠒⠁⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣦⡛⢿⡿⠶⣤⠀⣴⠀⠀⠁⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⡟⠋⠀⠀⠀⠀⠈⣢⣾⠏⠀⠀⠀⠀⢑⡟⠫⣱⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣷⠈⢷⡄⣿⢼⠀⡀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡄⣿⠄⢀⠀⠀⠀⣀⣻⡿⡃⠈⠠⢄⠀⠀⣸⣧⡼⢃⣴⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⡆⠘⣿⣏⡏⠀⢳⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠇⢿⡀⢘⠦⣀⣀⣾⠟⢄⣙⣄⠀⠀⠀⣸⣿⡟⢠⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⣀⣄⠀⠀⠀⠀⠙⢿⣿⣿⣿⡿⠁⠀⢸⣿⣷⠀⡄⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠻⢷⣶⣾⠋⡠⠀⠚⠳⠬⡵⢠⣾⠋⡟⡘⢸⣿⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠟⠋⣐⣄⠀⠀⠀⠀⠙⠛⠉⠀⡀⠀⢸⣿⠋⠀⢁⣼⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢧⢿⡌⠲⠀⠀⠀⠀⢣⠀⢹⡇⡇⡇⠘⣿⣿⣿⣿⣿⣿⠗⠀⠀⠀⠀⣶⣶⣶⢿⡿⣿⡦⠀⠀⠀⠀⠀⠀⠀⠘⢦⡿⠋⣠⠀⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠳⠟⠿⣦⡀⢀⠀⣄⡼⡎⢸⡇⣇⢧⠀⠘⠿⣿⣿⠿⠋⠀⠀⠀⠀⠀⣿⣽⣽⠀⢰⣿⠣⠇⠀⠀⠀⠀⠀⠀⣰⡿⠁⣻⡏⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⢀⠎⠀⠀⠾⣷⣿⡐⢳⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠉⠿⣿⣷⣿⠟⠉⠀⠀⠀⠀⣀⣴⠟⣋⣒⣴⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⢸⡆⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⢷⠿⠿⠶⣼⣤⣶⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠻⢦⣄⣀⣀⣀⣠⣴⣟⠉⠀⠀⠀⠀⠀⠀⠀⠁⣁⣙⡛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠄⠀⠀⠀⢀⣭⠍⣀⠀⡀⢠⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡨⠓⠒⠛⠊⠀⠑⠂⠐⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡔⠁⠀⠀⠀⠀⠀⠀⣀⠤⠄⠒⠂⠈⠉⠉⠉⠁⠀⠐⠒⠠⠄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡠⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠂⢄⠀⠀⠀ ⠀⠀⢀⠔⠁⣀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⢀ ⠀⡠⠁⣠⣾⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠁⢠⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀ ⡆⠀⢸⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⡤⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿ ⡇⠀⠀⠙⠿⣿⣿⠿⠃⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿ ⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿ ⠘⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿ ⢆⠱⡀⠀⠀⠀⠀⠀⠀⠀⢈⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠉ ⠀⠡⡐⠄⠀⠀⠀⠀⠰⠁⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠊⠻⢦⡀⠀⠀⠈⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠂⠀⠀⠀⠀⠉⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⡰⢸⠿⣽⣏⠿⣭⢯⡽⣭⢯⡽⣭⢯⡽⣭⢻⡝⣯⣛⢿⣧⡂⠄⠠⠀⠄⣀⠢⠐⡄⢢⠐⠠⡐⢤⢎⡴⣩⠖⡭⢎⡵⡩⢖⣤⣂⡔⠰⡈⠔⠠⢀⠀⠠⠀⢆⡐⢢⠐⠠⢀⠂⠄ ⠐⡠⢉⢿⣳⢯⣟⣧⡟⣼⢎⡷⣺⢵⣫⢞⡵⣫⢞⡵⣫⣏⡟⣿⡌⠠⢁⠂⠄⠢⢑⠨⡐⡈⢶⣫⢓⡎⢶⡱⣛⡼⢣⢞⣱⣋⢶⢫⢿⣦⡑⠌⢂⠠⠈⠄⡑⢂⡘⠄⣉⠐⡀⠊⠄ ⢀⠱⡈⠆⣿⢻⣞⣧⣟⡷⣏⡾⣱⢏⡾⣹⢞⡵⣫⠾⣵⢫⢾⣹⢿⣄⠂⠌⠠⠑⡨⠐⠤⣱⣿⠲⣍⡞⢧⡳⣍⠾⣙⢮⡕⣮⢋⡯⣞⡽⣷⠈⠄⡐⠀⠆⢠⠡⡐⢡⠂⡐⠠⡁⠂ ⠀⠆⠱⡈⠜⣿⣞⣷⣻⢾⣝⣳⡽⣎⢷⡹⣮⣝⣳⢻⣜⢯⡳⣏⠿⣿⣆⠈⠄⠱⡀⢍⠰⣿⢣⡟⣬⣝⣣⠷⣩⢯⡝⣞⡼⢣⡟⣼⢣⡟⣽⣮⠐⠠⠁⠌⡠⢂⠍⡄⠃⠄⠁⠄⡁ ⠈⡌⢡⠐⡌⠸⣿⡾⣽⣻⣞⣧⠿⣜⢯⣳⢳⣎⢷⣫⢞⡧⣟⡭⢿⣱⣿⣆⠈⡔⠨⠄⣽⣟⢧⣛⡖⣮⠵⣋⠷⣓⢾⡱⡞⣧⢻⡜⣷⡻⣽⣿⡃⠄⡁⠂⠔⡨⠐⡌⢡⠈⡐⠠⠐ ⠐⢌⠂⡜⠠⠁⠞⣿⣷⣻⣞⣾⢻⡽⣎⢷⣫⢞⣧⣛⢮⡳⣝⢾⡹⣖⢯⣿⡐⢠⠑⡌⣿⡾⡽⢮⣝⢶⣫⡝⣯⡝⣶⡹⣝⢮⣳⣻⣵⣻⡗⣿⡇⠐⠠⢁⢂⠡⢃⡘⠄⠂⠄⡁⢂ ⢈⠢⢁⠆⡡⠃⠄⡹⢿⣳⣟⡾⢯⣷⣛⢮⡳⣏⢶⡹⣎⢷⡹⣎⢷⡹⡞⡼⣷⡂⡌⠰⢹⣿⣟⣯⡞⣷⡭⣟⣶⣻⣵⣻⣭⢷⣯⢷⣞⣷⣻⣽⡇⢈⠐⡀⠂⡅⢢⠘⡄⢉⠐⡀⠂ ⠠⡑⢌⠢⠡⠌⠐⠠⢙⣿⢾⣽⣻⢶⣫⢷⡹⣎⢷⡹⣎⢷⣙⢮⣇⠟⣭⠳⣝⢳⢮⠱⡌⢿⣿⡾⣽⣳⢿⡽⣶⣻⣞⡷⣯⣟⣾⣯⢿⣞⣯⣿⡇⠀⠆⡀⢃⡘⢄⠡⠂⠌⡐⠠⢁ ⢀⠣⡘⠄⢇⠸⢀⠃⠄⡸⣿⣼⣻⢧⣟⡼⣣⢟⡼⣣⣛⡼⣛⡤⡜⢿⡠⢿⡘⣇⠟⣟⡻⣜⡻⢿⣿⣻⡿⣿⢧⡿⣼⣿⣧⣿⢻⡼⣿⢼⢧⣿⡃⡘⠠⢀⠇⢠⠘⡄⠛⢠⠀⢃⠄ ⠢⡑⢌⡘⢢⠁⠆⡈⢄⠡⢙⣿⣽⢯⡞⣵⢫⡞⡼⣱⢣⡞⣥⢳⡹⢶⡹⣲⠝⡮⣝⠶⡳⢼⣱⣋⢶⢫⢟⡻⣛⠿⡹⣍⠶⣩⢏⡷⣹⢾⣯⣿⢧⠀⢃⠄⢊⠄⢣⠌⡡⠂⠌⢂⡐ ⡡⡘⠤⠚⡄⢊⠤⠑⣂⠂⣉⠫⣿⡿⣜⢣⡳⣍⢳⣣⠗⣮⡕⣏⠾⣥⢳⡣⣟⡱⣎⢯⡝⢧⡳⣜⣣⠟⡮⢵⣋⠾⣱⡍⡾⡱⢎⡞⣥⣛⡼⢿⣌⡐⡈⠌⢂⠎⣡⠚⡄⠱⡈⠔⠠ ⡰⢡⡙⡜⡸⢄⠆⢣⢄⠣⢴⣿⠻⣵⢊⣧⢓⣮⠳⣥⣛⢦⢻⡜⣧⢫⢧⢳⣍⠷⣙⢮⠞⣧⢻⡜⡶⢫⣝⡳⢎⡻⣴⢹⡲⣝⢣⡞⢦⡽⣸⣛⠿⣷⣌⠘⡄⡚⢤⠓⡌⢡⠐⣉⠐ ⠁⢂⠡⢈⠡⠈⠌⠠⡈⣷⡿⢣⡟⡴⣫⠖⣏⢶⡛⢶⣩⢞⣣⡝⢮⣓⣏⡳⣎⢟⡹⣎⢿⣸⢣⡝⣞⡳⢮⡹⣭⢓⣧⠳⣽⡸⣣⣝⠳⡞⣥⢏⣟⡳⢿⣇⠈⡑⢊⠑⡈⠡⠉⢂⠉ ⠈⠄⠂⠄⢂⠡⢈⠰⣼⡟⣼⠳⣜⢧⣓⡻⣜⣣⣛⢧⡝⡮⣵⢚⡧⢏⡶⣹⣜⣫⠵⣎⡗⣮⠳⣝⣎⠷⣫⢵⣋⢾⡸⡝⣦⢳⣓⢮⡛⡽⣜⢯⡺⣝⢯⣻⣦⠐⢀⠂⠄⡁⠂⠄⠂ ⠠⢈⠂⡘⢀⠂⠤⣿⡿⣹⢖⡻⣜⡳⢎⡳⡵⢮⢵⡺⣜⢳⣎⢻⡜⢯⡜⡧⢞⡼⣹⠲⣝⢎⡟⡼⢼⡹⣱⢮⡝⡶⣭⢳⣣⢯⡜⣮⣝⡳⣝⢮⡳⡽⣎⢷⣻⣮⠠⢈⠐⠠⠁⠌⡀ ⠐⠀⠒⢀⠂⢌⡽⣣⢟⡼⣣⢟⡼⢭⡏⢷⣭⢳⣎⠷⣭⢳⣮⣷⣽⣧⠿⠙⠎⠓⠃⠛⠨⠉⠜⠙⢊⠑⠓⠚⠿⠾⣵⣯⣞⣧⣛⠶⣭⣳⠽⣎⡷⡽⣭⢷⡻⣿⣖⠠⠈⠄⡁⢂⠐ ⠤⠣⢜⡠⢌⡼⣳⡝⣮⢳⡝⣮⡝⣮⡝⣧⢞⣳⣮⡿⠟⠛⠉⠉⡀⢀⠀⠄⠀⠂⠐⠀⠂⠉⠀⢂⠠⠀⠌⠠⠀⠒⠀⠠⢉⠙⠛⢿⣶⣫⢿⣱⢯⡽⣞⣯⣽⣳⣿⡆⢡⠒⡰⠄⢆ ⠌⣑⠢⡘⢴⣫⢧⡻⣜⢧⣛⢶⡹⢶⣹⢮⡿⠟⣧⣔⡀⢄⣐⠀⠀⡀⠀⠠⠐⠀⠂⠀⠐⠀⡐⠀⠄⠂⠐⡀⠡⠐⠈⠠⣠⢬⠐⢦⣼⡿⢿⣽⡾⣝⣳⡽⣶⣻⣽⣷⠡⢊⠱⡈⢆ ⠘⡄⢣⠐⣹⡖⣯⢳⡽⢮⣝⣮⡽⣣⣿⠏⢻⣤⣼⣿⣿⣿⣿⣿⣦⠀⠠⠁⠀⠐⠀⠁⢀⠂⢀⠀⡀⠌⠀⠄⡐⠠⢸⣷⣿⣿⣿⣿⣿⣧⣷⡹⢿⣽⣳⣟⣳⡽⣾⣿⡑⢌⠱⡈⠆ ⠂⡜⢀⠣⣽⢞⣭⢷⣫⠷⣞⠶⣽⡿⢁⠐⢸⣻⣿⡟⣿⣧⢌⣿⣿⡄⠐⢀⠀⠁⠠⢈⠀⠄⠂⠀⠄⠂⠡⠐⠀⣁⣧⣿⣿⡤⣻⡟⣿⣿⡇⡐⢩⢿⣷⣞⣷⣻⢿⣾⠅⡊⠤⢑⡈ ⠁⢆⠡⢂⣿⢯⣟⣾⢳⣻⣭⢿⡿⢸⠀⠂⣿⣿⣿⣿⢛⣿⣿⣿⡿⡅⠈⡀⠄⡁⠂⠀⢄⢬⣠⡈⠠⠈⠄⡈⠄⠀⢋⣿⣿⣿⣿⢛⣿⣿⣷⠈⢆⢚⣿⣿⣞⡽⣯⣿⡃⠜⡠⢃⡐ ⠉⡔⡈⠆⢿⣿⣯⣞⣯⢷⣞⣿⠇⡈⠔⠠⢹⠹⣿⣿⣾⣿⣿⠟⢃⠠⠐⠀⠄⡐⠠⢁⠈⠻⠗⢃⠠⢁⠐⠠⢈⠁⡂⠜⢻⣿⣿⣿⣿⡿⠛⡨⢐⡌⣿⣷⢯⣟⣿⣿⡇⡘⠤⣁⠂ ⠌⡰⢈⠜⡨⣿⣷⣟⡾⣯⣞⣿⡰⢁⠎⡱⢢⠱⣌⠫⢍⡉⠡⢈⠄⢂⡐⡈⢔⠺⣷⣮⣼⣦⣼⣤⣶⣼⣿⠂⡁⢆⠡⢌⠢⡘⢍⢫⢋⡜⣣⢕⡢⢜⣽⣿⣟⣾⣿⡏⠔⡡⢒⠠⠡ ⠐⡡⢌⠢⡑⠼⢿⣿⣽⣳⢯⣿⣧⠘⣬⢱⡋⠷⣌⠳⡌⡔⡡⢊⢌⡰⢠⠑⡌⡐⢻⣯⡳⢭⣏⡳⣽⡟⢢⡐⣡⠊⠴⣈⠦⡱⢌⡲⡩⢖⡱⢪⣜⢣⣿⣿⣿⣿⠟⢠⡑⠄⢣⠈⡅ ⡌⢰⠈⠒⣤⠘⡎⣿⣿⣯⡟⣾⣿⣵⡌⢣⡞⢱⡎⣵⠘⣴⠑⢪⡔⢢⠑⠊⣴⠉⣦⢹⣿⣧⣿⣿⠋⡔⢣⠒⢡⡎⣵⡌⣶⢱⣮⢱⠓⣿⣾⢱⣾⣿⣿⣿⣿⠉⢢⠁⢰⠈⡆⢱⠀ ⢀⠣⡘⠰⣀⠒⡰⠄⢛⢿⣿⣯⣿⣷⣽⡺⣜⣧⡻⣴⢫⡖⣝⣦⣓⢮⡱⣍⢦⡹⢤⠳⣼⡙⣧⢎⣝⡲⣍⣎⢷⡸⣥⡻⣜⣳⢮⣏⢷⣳⢮⣷⣿⣿⡿⢛⡡⢊⠔⡨⢆⠱⣈⠆⡱ ⣌⠱⣌⠓⡬⡑⢆⡉⠂⠀⠈⢙⠻⠿⣿⣿⣿⣽⣟⣷⣯⣛⡷⢾⣹⢮⢷⣛⣮⡽⢯⡷⣞⡽⣎⣟⣮⠷⣏⡾⢧⣟⣳⣻⣝⣻⣾⣽⣿⣿⡿⠟⠋⢁⠀⠤⠑⡊⢌⠱⣈⡑⢢⢉⠒ ⠈⠃⠌⡉⠔⠉⡐⠄⡡⢈⠡⢀⠀⡀⠀⠈⠉⢻⡻⠿⠿⡿⢿⠿⢾⠿⡾⢷⣭⠿⣭⠷⡽⣯⡽⢮⡽⡿⢿⢾⠷⣾⠻⡟⣟⣛⣛⡏⠥⠀⠀⠄⠠⢀⢌⡰⢡⠘⡄⠣⢄⠘⢄⠊⠌ ⠠⢁⠂⡐⢈⠐⡀⠓⠴⣆⡒⡄⢢⠐⡁⠂⡁⠀⠛⢯⣗⡹⢎⡽⢮⡹⣭⠳⣎⢟⣼⡟⠀⠈⢿⣧⣏⢵⡫⢮⣝⢲⢫⡝⣳⡼⠋⢁⠀⢄⠡⢎⡱⣬⠦⠓⠤⢃⠬⡑⢢⠡⢌⡘⠤ ⠐⡀⢂⠐⡀⠆⠠⠁⠂⠌⡉⠙⠣⠹⢤⡡⠄⡁⠂⢀⠉⠛⠷⣾⣧⣛⡴⡻⣜⣾⡿⠀⢀⠀⠈⢻⣯⣎⠷⡳⢮⣭⡷⠞⢋⠀⠰⢠⣘⡴⢋⠮⡑⢦⠮⡑⢎⢖⠲⡱⢎⡓⢮⡜⢧ ⠶⣡⠖⠮⣔⢣⢳⡘⣤⠳⣌⢓⡣⢓⠦⣱⠣⣌⠱⢀⠀⠂⡀⠀⠉⠛⠿⠷⠯⢷⠃⠀⠠⠀⠀⠀⠿⠿⠾⠟⠋⠁⡀⠐⡀⠎⣱⠢⣗⣩⣯⣷⣍⡫⣴⢉⢮⡌⣛⣴⣧⣙⠣⣜⢢ ⡳⢤⡛⡜⣌⢣⠎⡵⢢⠗⣌⢎⡱⢍⡲⢥⠳⡌⠆⡀⠄⠐⠀⠀⠁⠠⠀⠠⠀⠀⠀⠐⠀⠀⠁⠄⠀⡀⠄⠀⢀⠂⠠⢁⡐⢘⣺⢟⣻⣿⣿⣿⣿⣿⣶⣿⣶⢞⢯⠻⡼⣛⠷⣭⢶ ⡝⢣⢳⡹⣌⠳⢎⠲⡍⡞⣜⣊⠶⡱⡘⢆⡣⢍⡐⠠⢀⠈⢀⠈⠀⠀⠄⢀⠀⠂⠁⠀⡀⠁⢀⠠⠀⠀⠀⠠⠀⠀⠂⠄⠒⡠⢼⠊⡖⣿⣿⣿⣿⣿⣿⣿⣿⡍⢎⢳⣱⣍⢞⣰⣣
૮⍝• ᴥ •⍝ა𝑲𝒖𝒓𝒐𝒎𝒊૮₍ ⑅ • ᵜ • ⑅ ₎ა/ᐠ ̞⑅ ̞ᐟ\ノ✩₊˚.⋆☾⋆⁺₊✧
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⢦⣄⠀⢻⣿⣶⢦⣤⣤ ⠀⠀⠀⠀⠀⣀⣀⣤⣤⡤⠶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣙⣿⣷⣼⣿⣟⣿⡛⢾ ⣒⠒⠈⠥⢽⠹⠒⠊⠉⠉⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣴⣯⣟⣻⠋⢻⣽⣿⣼⣿⡸ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢀⣸⡷⠾⠞⠁⠀⢨⡟⣷⣿⡿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣧⣀⣼⣇⣀⡠⠤⠤⠟⣐⣊⣻⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢿⣽⣿⣿⣶⣶⢦⣤⣤⣄⡛⠒⡉⠐⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣃⢴⢲⢫⡝⣭⠫⡝⣽⠻⣌⣿⢿⣿⠀⠀⠉⠉⠒⠻⠿⢽⣫⣟⢿⣲ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡏⣎⢧⢋⠶⣩⢖⣹⡞⡭⣳⠟⠻⣟⣾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠉⠙ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠷⣙⠬⣎⡹⢎⠵⣊⡟⣼⠚⠁⠀⠀⠀⠙⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡴⣟⡹⣌⠳⣜⠲⣍⠞⣽⠞⠁⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡱⣻⡴⣩⠳⣌⢳⡌⢯⠏⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠐ ⠀⠀⠀⠀⠀⢠⢯⡱⣍⢷⡥⣛⢬⣳⠼⢻⠀⠀⠀⠀⡇⠀⠀⠀⢠⠒⠉⠉⢢⣀⣀⣀⣄⣤⡄⠀⠀ ⠀⠀⠀⠀⠀⡞⣦⠳⣜⢪⢽⣧⣏⠀⠀⠸⠀⠀⠀⠀⠇⠀⠀⠀⢃⠀⠀⠀⢀⡟⢻⠛⠿⡉⠀⠀⢠ ⠀⠀⠀⠀⢰⡹⢆⡻⢔⡫⢖⡇⠉⢷⣤⡄⠀⠀⠀⢸⠀⠀⠀⠀⠈⠒⠠⢰⠏⠬⢡⠋⡔⠁⠀⣠⣿ ⠀⠀⠀⠀⡟⡼⣡⢛⡬⢓⡞⠄⠀⢸⢆⡻⣄⠀⣀⠞⠀⠀⠀⠀⡔⠉⠀⠸⡀⢡⠊⠰⡉⠐⣰⣿⣿ ⠀⠀⠀⠀⣯⡕⣣⢍⣎⠳⣼⠀⠀⢸⡎⡵⢪⡍⣿⠀⠀⠀⠀⠀⡇⠀⠀⠀⢹⠀⠌⠁⣆⣼⣿⣿⣿ ⠀⠀⠀⠀⠹⣜⡱⢎⡜⣣⠟⠀⠀⠀⢿⡜⢣⢾⢯⠀⠀⠀⠀⠀⡇⠀⠀⠀⢸⠁⠀⢠⣾⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠉⢳⡿⠚⠁⠀⡅⠀⠀⠀⠉⠉⠁⢸⠀⠀⠀⠀⢰⠁⠀⠀⠀⡞⠀⣠⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠠⡇⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⢠⠣⣀⣀⠴⠋⠢⣄⢤⣾⠀⣴⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠄⡀⢸⣷⠀⠙⣿⣿⠟⢿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠈⠄⠐⢢⣿⠀⢀⢨⠏⠀⠀⠉⠻⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣏⢾⡱⣟⡿⣿⣿⣿⣿⣿⢟⡹⣛⠻⡛⢽⠻⡿⢯⣿⣫⣝⡻⠛⠭⡙⠆⠆⡑⣎⡷⢘⢯⠛⣿⡽⣿⣿⣌⠛⢶⣤⡀⢞⠻⣟⣦⡘⡀⢩⢯⠁⠀⣰⠧⠔⠊⠉⠁⡀⠀⠀⠄⠠⠀⠄⠠⠀⠄⢀⠂⠠⠀⠄⢀⠂⠄⠠⠐⠠⠉⢈⠉⠡⠁⠀⠄ ⡽⣹⢻⠿⣿⢿⣿⣿⣿⣿⣿⣭⣿⣿⣾⣽⣳⣝⣾⣱⣭⣾⣿⣿⣿⣿⠟⢦⠱⣌⣣⣭⣆⡣⢛⣿⡭⡙⣿⡐⢩⣂⣥⣼⡶⠟⢋⠱⠊⢊⠱⢬⣣⡙⢷⣯⣷⣿⣦⠇⠨⡀⢌⠠⠡⢤⠟⠊⡀⠀⠀⠀⡀⠐⠂⠐⠀⠂⠐⡀⠂⡐⠀⠂⠔⠂⠀⠂⠐⠂⠐⠂⠐⠀⠂⠂⠐⠐⠀⠂⠐⠐⠂⠆ ⣝⣣⢯⢻⡵⣏⡶⣳⢽⡺⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣌⠻⣄⠣⢛⢽⣶⣝⢷⣬⣿⢿⡔⢻⣧⠒⠉⠁⣀⠂⠤⢃⠘⡑⡈⠄⠻⣇⠧⣌⢁⠭⠀⡄⠠⢀⠂⠌⢌⠸⡵⡀⠂⢀⠂⠀⠂⠐⡈⠄⠠⠁⡈⠐⡠⠁⠠⢁⠈⠄⠠⠈⠐⠀⠂⡀⠂⠀⠁⢈⠀⠈⡀⠐⠀⠀⠀⠀⠀ ⢧⣓⢯⢳⣞⡱⡷⡹⣎⢽⢣⠯⣽⣻⣿⢿⣿⣿⣿⡿⡿⢿⣫⠅⣏⠰⡱⢌⢲⣉⣌⣿⣯⢿⣾⡿⠼⡟⢋⡥⠶⣒⠩⠥⠴⢿⣎⣤⠴⠟⣀⠂⠌⠛⠖⣒⠦⠅⠀⡋⢀⠐⠈⠐⡄⢳⡜⣦⣁⠠⠁⡐⠠⠀⠄⠀⠂⠄⠆⠡⠄⠐⠂⠡⢂⠐⠀⠡⠀⠂⡀⠄⠀⠀⠀⠠⠐⠀⠀⠀⠂⠀⠀⡁ ⢞⡬⢧⢏⢶⣻⣵⣯⣙⠾⣿⣟⡟⣿⡭⢣⡓⢮⣱⣭⣷⠗⣰⣛⡿⠁⠍⣋⣍⣚⣼⣹⣿⣏⣏⣡⠤⢺⣽⠬⠗⣉⣥⣴⣾⠽⡶⢶⣦⣤⣤⣊⠌⡌⠰⢀⠢⢀⠒⢀⠄⠈⠀⠄⠈⠢⢝⠢⣽⡳⣦⡀⠡⠀⢂⠁⠄⠠⠀⠁⠠⠁⢂⠠⠀⠐⠀⡁⠐⠀⠀⠄⠐⠀⠁⠀⠀⠄⠀⠀⡀⠀⠀⠄ ⣮⡙⣎⢞⡻⣿⣿⣽⣿⣜⣿⣿⡷⣸⣿⡱⢜⡛⢿⣿⣿⡿⢟⡱⡔⣂⠨⢍⠖⠣⢢⢙⡒⢎⠒⠒⠊⣉⢰⣴⡾⠟⢩⠐⠠⠒⡈⠢⢐⡈⠍⠻⢿⣦⡂⠄⡁⠂⡀⠢⠠⠓⠺⠶⢶⣦⣅⡛⠤⣛⢮⡟⢷⣤⣄⣈⠐⠠⠄⠁⢂⠀⠂⠀⠂⢈⠀⠐⡀⠈⠀⠄⠈⠐⠀⠠⠀⠀⠀⠁⠀⠀⠀⠂ ⡶⡹⡜⢮⡱⡝⣿⣿⢷⣏⣿⠳⣿⡔⢿⣷⢨⠞⡲⣬⢇⢜⣽⣿⣧⣉⣄⣤⣾⠿⠛⣟⠻⡛⠿⠾⣦⣴⡾⠋⠔⣉⠰⡈⢡⠑⡌⡑⢢⠐⡌⠂⢆⡉⢻⣷⡰⠡⠈⢆⠡⢊⠡⠐⡠⠀⢍⠛⢷⣮⡒⠮⣗⡲⢭⣟⣛⠳⡶⢶⣤⣌⡐⠀⠌⠠⠀⢂⠀⠄⠁⡀⠀⠄⠀⡀⠠⠀⠠⠀⠈⠀⠀⡃ ⢷⡱⡝⢮⡱⢭⣹⣿⣎⠿⣟⠱⣻⣿⡘⣿⣶⣍⣷⢣⣚⡾⠟⣉⣷⡿⢫⠍⢢⠱⠱⣠⠓⡭⢌⠱⠌⡩⠤⣉⠒⡌⠰⡁⢆⠣⡐⣁⠃⡔⢂⣩⣀⡒⠤⠐⠤⡁⢍⠰⢈⠂⢢⢁⠂⡉⠄⡀⠂⡈⢿⣆⠊⢉⠋⠖⡫⢭⠽⢟⡲⢭⣿⢷⣦⣄⠡⢀⠈⠀⡀⠄⢂⣀⠐⡀⠀⠀⠁⠀⠐⠈⢀⡁ ⢧⡛⣜⣣⠽⣑⣮⣿⣿⣷⢎⡳⣴⣿⡿⢞⡿⣛⢥⢫⢏⡜⣩⣿⠟⣈⢇⡚⡄⡋⠵⡰⣍⠲⡌⣃⢎⡑⠦⡑⠬⣐⠣⡙⡄⠓⢌⣢⣶⢿⣛⢯⢿⣻⠿⣷⣬⡐⢊⠌⣃⣬⣴⣦⣴⣥⣔⡂⠌⡐⠀⢿⣧⣤⣮⣶⣶⣦⣬⣐⡃⠧⢌⡙⠺⣝⡷⣤⠈⢀⠐⢰⠟⡉⠷⣄⠂⠀⠁⠀⠈⠀⠀⡃ ⣧⡛⡴⣍⠾⣡⡛⡵⢣⣎⡝⢦⣧⠚⢛⣘⣢⠧⢚⡱⣉⢶⣿⡃⠳⡌⢦⡑⢦⠙⡴⡑⢦⡙⠴⣡⣦⣱⣼⣬⣑⢢⢡⠱⢨⢩⣶⢿⣡⣧⣫⠮⠗⣭⢛⣶⣟⣟⣿⣿⡻⣝⣳⢾⡷⣯⠽⣻⢷⣬⣀⠊⣁⢂⠂⠄⠄⡐⠨⢍⠩⡐⢤⣎⠱⢈⠳⣟⣷⡀⠀⡿⠈⢄⠃⠺⣽⣦⡁⠀⠐⠈⠀⡁ ⢧⣝⢳⣜⢻⠴⣍⣳⢣⣶⠾⣛⡤⢖⣋⡭⠪⡜⣃⣦⣡⣿⡇⣎⠵⣉⢦⠙⡦⢹⠰⣉⠦⣩⢚⣾⣟⡿⣿⣿⣟⣯⣿⣿⢷⣟⣿⣎⠞⡋⠤⢉⠒⡄⡉⢲⣹⣾⢿⣝⡯⢛⠟⠏⠖⢯⣺⣵⡿⣼⣿⣆⣡⢶⠶⣾⢶⣬⣄⣂⠆⡙⠠⡙⣿⣧⣦⡼⢯⣱⣠⡷⣴⡌⠒⢉⢖⣈⣳⣄⣂⠈⠐⠀ ⡞⡝⢮⣙⡞⡴⡝⡭⣮⠏⣔⡫⢳⢜⢉⣥⣶⣷⢿⢻⣛⢏⣱⡉⢦⡹⢌⠶⢡⢎⠲⣍⠦⣩⣾⡿⣽⣳⠿⠟⠿⢿⣿⣿⢾⣿⡻⠋⡔⢡⠂⡜⢠⠡⡑⡼⢋⢹⡞⢛⡡⢊⠐⣂⠂⢌⢉⡉⠳⢿⢿⣽⡯⣜⡦⢏⠾⣝⡛⢿⣆⠑⢂⠱⡍⢿⣯⢥⡸⣏⣯⡱⠛⣇⣀⣬⡸⠝⠭⡻⣿⣶⠀⠀ ⢽⣹⣣⢽⡘⣧⢫⡷⢣⢛⡴⡝⢣⣾⣿⠛⡕⣎⠜⡲⢌⣎⠲⡩⢖⠩⢎⢥⠣⢎⡳⣈⠖⣽⣿⣻⡭⡑⢊⡑⣊⠔⢢⡇⠭⢄⡢⠑⢌⠰⡈⢄⠃⠆⣼⢃⠌⢢⡇⢂⡐⠠⠃⠄⡘⠀⠆⣰⡇⢊⢛⠛⠖⣭⢾⠋⠞⡲⣿⡯⢿⡍⠄⢂⠐⡈⣿⣧⡟⣭⣳⣻⣯⣄⠙⢢⡐⠉⠲⠡⣟⡏⠐⠀ ⢧⡳⢞⣲⣙⢮⡽⡝⣽⢎⣳⢩⣿⡟⣲⠹⡜⢬⢭⢣⡛⣬⠳⣙⢎⡣⣍⢆⣏⣦⣵⣬⣾⣿⡿⡽⠤⡉⢦⠑⡌⠸⣈⣧⠱⢂⢷⡉⢢⠑⠂⣌⠘⠤⠉⠎⠌⣼⢇⠢⠄⢃⠑⢂⠑⡨⢢⡟⢨⠐⠄⣼⠟⠡⣸⡏⡐⢀⠛⣴⢻⣷⠨⠐⠤⠁⣸⣿⠙⢿⣷⡛⢻⣽⣿⣦⡈⠑⢦⣴⠟⠀⢀⠀ ⢯⡝⡯⢶⡹⡾⣏⣽⢹⣚⡴⣿⡟⡔⣣⢣⠝⣎⡞⣱⡝⣦⢛⡜⣪⣵⣾⣿⣟⣿⣿⣿⣿⣟⠿⣥⡓⠜⡠⢃⢌⡱⠠⣟⠒⡡⢚⣧⣡⣌⣥⣤⣮⣤⣵⣬⣦⣯⣤⣌⣌⣀⣪⠀⢂⢡⡿⢁⠂⡌⣬⡿⢶⣧⣏⠠⠐⢠⠐⡘⣦⢿⣷⣕⡠⠑⡸⠿⠶⢿⣦⣿⡻⢷⣽⢫⡿⢧⡐⠀⠀⠄⠂⠀ ⣟⡼⣓⢯⣓⢷⡿⡼⡷⢮⣽⣿⡜⡥⢣⢮⡹⢮⡱⢗⡞⡱⢮⡽⣾⣿⣻⣿⣿⣿⣿⠻⠽⣏⡔⡌⠽⣆⣑⣪⣴⣴⠿⡟⢻⡐⡩⠍⠭⡐⡌⢢⠑⡌⢄⠣⡌⠡⣉⠩⠍⡙⣙⠛⠿⠾⣷⣦⣥⣼⠟⢤⢃⡌⠻⢶⣜⡀⢂⠂⢿⣿⣾⣻⣿⡿⣶⣶⣐⠄⠂⡙⢻⣾⣏⠠⠙⢮⡽⡄⠠⢀⠀⠀ ⡾⣱⢏⣞⣽⣻⡜⣳⡟⣭⣻⣿⡶⣩⢓⠮⣵⢳⡹⢞⡼⣱⠳⣎⢿⣷⠟⣍⠱⣂⠦⡙⢴⠝⣾⣼⣼⠿⢛⠫⡑⠦⡉⢴⠁⠦⡑⡘⠤⡑⢌⠂⠥⡘⢠⠒⠄⢃⠰⣀⠒⠡⣀⠁⢒⠠⠌⣈⣽⠯⡘⡤⠣⡔⡡⠌⠛⣿⣄⠡⢈⣼⠿⣽⣿⣿⣿⢾⣛⣷⡈⠠⠄⡈⢿⣧⠡⠈⣷⡹⡀⢀⠀⠀ ⡳⣝⣾⣾⣣⢿⣼⡓⣞⣵⣿⣿⣗⢣⠯⣝⡲⢏⡽⣚⢼⢣⡟⣬⣛⣿⣮⣐⠳⣈⠖⣩⣶⠿⡛⢍⡒⠜⡌⢣⠘⡤⠉⢆⣙⢀⢃⣑⣂⣑⣂⣃⣒⡐⣁⡂⡊⠄⠡⠐⡈⠡⠄⠌⡐⠠⠒⣼⠧⢏⡔⣣⢣⡘⢔⡘⢂⠌⢻⣼⡟⠁⢂⡉⢉⡉⠛⢾⢟⣹⣇⠠⢁⠂⠌⢻⣷⡁⠈⣧⢳⠀⠀⠀ ⣝⡾⢿⠿⣿⣖⣷⣿⣿⢿⣙⡖⣮⢫⢯⠵⣛⢮⢳⡹⢎⡳⡞⡭⣞⢽⣿⣶⣱⢬⡾⡟⣅⣓⣼⣦⣼⣶⢾⡶⠿⠟⢿⢛⣛⡛⢻⢛⡛⡛⡝⢻⢙⡛⣛⢛⡛⠿⢿⠳⠶⠳⢊⠔⢄⡡⣼⡿⢸⢢⠱⡎⡔⣿⢛⡻⣦⣌⣿⡙⡛⠿⣶⣤⣐⠠⢁⣂⣼⡿⡁⠢⠁⡌⠄⡂⢹⢴⢈⢹⢫⠀⠐⠀ ⣿⣾⣿⣿⣾⣻⣿⡿⣓⢮⣚⡼⣵⡛⢮⢏⡧⢏⡶⡝⡯⣕⣫⢗⡭⢖⡳⢾⡵⡿⣟⣻⢻⡹⢭⡙⡲⢬⡒⡵⢩⡝⢢⡃⢦⡘⢣⢢⡰⠥⣘⠆⣃⢆⡑⢆⠱⠌⢆⡱⢨⢓⢊⠌⢆⠂⣿⡏⢦⣉⠖⡱⠚⣩⠻⢶⣮⡿⢧⢣⡙⢆⡒⢌⣻⠟⡟⢋⡝⢛⢙⠻⠻⠶⣦⣅⣎⣎⠘⢸⣯⠀⠀⠀ ⡿⣽⣾⣿⣿⣿⡟⡼⢱⣎⢧⡳⢮⡝⣫⢾⣱⢻⢼⡹⢵⡫⡞⣭⠺⣭⡙⢦⡣⡝⣢⡕⣦⠫⢦⡙⡱⢣⠱⣊⢓⡜⢢⡙⢆⡙⠲⣈⠴⡑⣢⠩⠔⡒⣘⠢⡙⠌⢥⡘⢢⡐⠭⡈⠦⡙⠾⣿⣤⣬⣈⣅⣚⣀⣡⣨⣞⡝⢆⠳⡨⠱⡈⣽⠏⣼⣈⡶⢠⡃⢌⡐⠆⠱⡀⣽⣿⡟⠠⠸⡟⠀⠀⠀ ⡿⣷⣿⣶⣿⡿⣍⢜⡳⣬⠳⣍⠷⣚⡵⢳⢮⡟⣮⣝⣣⢷⡹⢎⡷⣡⡟⡼⣱⡹⡔⡞⡴⣙⢎⡜⣱⢣⠳⢥⢣⢎⣃⠞⡬⣘⠣⡜⡰⢅⠲⡑⢥⡑⠦⡑⢜⡨⢆⠸⡐⢌⡒⡑⡰⢁⠦⠘⢌⣁⢋⠭⢩⡉⡡⢘⠙⣻⢾⣇⣅⠣⣼⠟⣯⣴⣫⣽⡇⡜⣠⠑⢊⠤⣱⣿⣿⠣⠂⢀⣗⠀⠈⠀ ⣿⢷⣯⢿⣿⡷⣘⢮⡱⢎⡳⣍⢯⡱⡞⣯⣙⢮⣓⢮⡵⡞⣭⢳⣙⢦⡝⡲⡥⢳⡜⡭⠖⣭⢚⡜⢦⠣⡝⡎⣜⠲⢌⡚⡴⢡⢋⠴⡡⠎⡥⢙⠢⡜⡰⡉⢆⡐⣊⠱⡈⠆⣐⢂⠡⠡⠥⡉⠢⡔⠨⡈⠦⠐⡂⢅⠒⠠⡙⢋⠽⡿⣿⡠⢇⠮⢭⢹⢠⠍⡤⢙⠄⣢⡿⠻⣿⣦⡡⡀⢿⠠⠀⠀ ⡭⣞⠾⣽⣿⣿⢎⢧⡹⢎⡵⣊⣶⣿⢿⢫⡵⢫⡞⣏⡞⡽⣎⠷⡭⡞⢞⢧⣋⠷⣘⢧⡛⡴⣋⠼⣡⠛⡴⣍⠶⣉⢇⠳⡌⢇⡚⠵⡑⣙⠰⣃⠚⠤⡱⢌⡒⠌⡤⢃⡘⡐⣂⠊⠆⠫⣀⠋⡔⡠⣑⠐⡡⢃⡘⢂⢁⠓⠌⠆⡜⠠⢛⣿⣄⡱⣈⠖⡡⢊⡐⢂⣼⡟⢁⠂⠌⣿⣧⠀⠸⣇⠂⠀ ⣷⢫⢿⣱⢿⣿⢎⢮⣼⣵⣿⢟⡻⣌⡻⣜⡺⢭⢞⣱⢾⡳⣭⣛⡵⢏⢯⣒⢏⡞⡭⡖⣭⠳⣬⢳⣩⡝⡲⢌⠶⣡⡎⡳⣌⢣⡙⡔⢃⠎⡱⢢⡙⡰⣉⠔⡌⡒⣐⠢⠔⢡⢄⠊⣌⠱⡀⠎⡐⡡⠐⡌⠔⢡⠐⣂⠊⢔⠈⡆⠰⢉⠂⣅⠻⣷⣄⠒⠄⢡⣴⡿⢋⠁⡊⠄⢂⠘⣿⠆⡀⢿⡀⠀ ⣭⢧⡻⣜⣯⣿⣷⣿⡿⢫⣜⢣⡹⢆⡷⢣⡽⣝⣾⣟⡫⢞⡵⣋⢷⢫⡗⣫⢎⡳⣝⡜⡲⣝⢢⠳⠴⣜⠱⣉⠖⡥⢒⠵⠸⡰⢱⡘⡉⢎⡌⢃⡜⠰⡐⣌⠒⡡⢂⠕⢌⠃⡌⠌⠤⢃⠜⡐⠌⡐⠡⡘⠄⡅⡘⠤⢈⠂⢊⠄⡱⣈⠒⢠⠂⡍⠹⢷⠾⠟⡉⢢⠠⠁⠔⢈⠀⠂⣿⣇⠠⢸⠄⠀ ⣯⢞⡵⣏⣾⣿⡟⣯⣙⠳⣬⠳⣍⡗⡺⢏⣶⣿⡿⠼⣍⡟⣴⢫⢯⣧⢻⡱⣋⢧⠳⣜⠳⣬⠣⡏⠵⡌⡗⡡⠞⡌⢇⠺⡱⢡⠣⣐⢛⣦⠘⠤⢊⠕⡰⣀⠓⡈⠥⢪⠈⡜⢠⢉⠣⠔⠢⡑⢌⡢⠑⣨⠐⢂⡑⠤⠡⢘⡀⠎⡐⢄⡘⢄⠢⢡⠉⠤⠙⡈⠰⢀⠂⡉⢐⠈⠄⢂⣿⡧⢀⠸⠌⠀ ⢧⡟⣽⢾⣿⡻⡜⣦⢫⢳⡍⣷⢚⣽⣳⢯⣿⡿⣍⣻⢬⡻⣜⣫⢳⡜⢧⣹⣽⡊⢗⡭⢓⡴⢩⢲⢣⣼⡟⣐⣣⣜⣬⣑⣄⣣⣴⣾⠟⡻⣷⣎⣈⠄⠅⠤⠃⢌⣂⣥⣧⠰⢄⠂⠥⢊⠑⡨⡐⢠⠡⠄⠊⡄⠌⢄⢃⠤⠁⠆⡡⢂⠰⠠⠌⢡⠉⢌⠰⠁⠆⡁⠢⡁⠄⠡⠈⣼⣿⢁⠂⡍⠀⠀ ⢿⡜⣯⣿⢣⡳⡝⡖⡯⢧⣛⢦⢏⣾⣹⣿⣿⡳⢇⡗⣮⢓⣳⣏⣳⠞⡵⢣⣮⣽⣊⣴⣩⣴⣷⡾⢟⠱⡘⢤⠈⠭⠹⠛⢛⡩⢩⠀⢣⠐⠌⡙⢛⠿⢿⠿⠿⠟⢛⠋⠻⣿⣄⠊⠔⡁⢊⠰⠐⢂⡁⢣⠉⡄⢃⠆⠢⠐⣉⠒⣀⠃⡅⢂⢉⠰⡁⠆⡉⠆⠰⣷⣅⡐⠈⠅⣲⣿⡗⠂⣰⠁⠐⠀ ⣟⢾⣿⡇⣧⢛⣞⡹⣝⠧⡞⣭⡿⣼⣿⡿⡸⣝⠮⣝⡖⣯⢕⡮⡥⢟⠬⣛⣿⡝⡛⡟⡛⢭⠚⡌⢣⠃⡜⢠⡙⠢⢍⡘⠤⢢⠱⠈⢆⠉⠆⡈⠆⡰⠠⠌⢂⠔⣀⠊⠡⢈⠣⠌⣤⣴⣆⣆⣁⣦⣴⠀⠆⡑⢈⠤⣁⠣⡀⢢⡐⡰⠠⠌⢸⣇⢐⠢⡐⠂⠔⡘⠻⣷⡅⢾⣟⠷⠡⢲⠧⠀⠠⠀ ⣞⣻⣿⡝⣦⢛⡬⢟⣜⡫⣜⣳⣾⣿⣛⠶⣭⢣⡟⡼⣹⣌⢯⡱⢭⢣⢇⣿⡿⣡⢣⠱⣉⠦⢍⡜⣥⣧⣬⣡⠌⡑⠢⠜⡠⡁⢆⡉⢆⡘⠠⡑⡐⠄⡑⠈⡄⠂⠄⠌⠠⢁⠢⠐⡈⢉⠛⠛⠛⢹⣿⡂⡁⠆⡁⢢⠀⣂⠌⡁⡐⠤⠑⡨⢸⣿⠈⡐⢠⠉⠢⡐⢈⠙⣿⣧⠘⡌⠴⢸⢳⠀⠀⠀ ⣽⢳⣿⣿⣶⣭⣚⣭⣲⣽⣾⣿⣛⢦⠯⣝⢮⢳⢺⡝⡲⢎⡞⣱⢋⣯⣿⠿⡑⢎⢎⡱⢌⡚⣦⣿⣿⣿⣿⣿⣆⠩⡑⢢⠑⡌⠰⡐⢢⠐⡡⢒⠀⡒⢌⠐⠠⠈⠆⡘⠀⠆⡁⠂⠔⠂⠌⠠⠈⢀⠻⣷⣄⢡⠐⢂⠢⡀⠌⠒⢌⠂⠥⠐⢸⣿⠆⡂⡁⠎⡐⠡⡈⠔⡈⢿⣧⡃⠆⢸⡿⡀⠐⠀ ⢯⣻⣾⣟⣿⣿⣿⣿⣿⣿⣯⠲⣍⠾⣝⢮⢳⣫⢞⡼⣵⣿⣾⢿⣿⠻⡥⢣⡙⡜⣢⡑⢣⣼⣿⣿⣿⣿⣿⣿⣿⠡⡘⢄⠊⡔⢡⠘⡄⢂⡁⢆⠘⣀⠢⠌⠡⠘⠠⢀⠁⠆⢠⠁⡘⢈⢀⣷⣿⣿⣷⣌⠻⣶⣤⣀⣑⡀⢡⠉⡄⠊⡄⢁⠲⣿⡇⠐⠠⢁⠂⡅⠐⢂⠐⠘⢿⣿⠃⡬⣧⢣⠀⠀ ⣮⢻⠿⣿⢿⣯⣿⣿⣯⢿⣿⣶⡝⢦⡝⡞⢮⡹⢼⡱⢯⡹⢭⠞⣿⣦⠣⢎⡱⢣⢋⡕⣊⢿⣿⣿⣿⣿⣿⣿⡟⡄⢓⡘⠤⡑⢌⠢⡑⢌⠃⡜⢠⠉⠢⠐⢂⡐⢂⠘⡀⠆⡈⢂⠑⠌⣾⣿⣿⣿⣿⣿⡆⢙⠻⠿⣿⣷⢈⠂⠑⡂⠡⠘⡀⢿⣇⠢⡐⠌⢂⠑⣀⠊⠔⠂⠸⣿⡆⡇⢽⡚⠄⠀ ⢯⣏⣿⣿⣻⣷⣿⡹⣿⡾⣹⢿⣿⣧⣻⡜⢧⡛⢮⡱⢧⡙⣎⢣⢻⣿⣇⢣⠕⣣⠣⣜⠰⢺⣿⣿⡽⣿⣿⣿⠱⡈⠦⡑⢢⠁⢎⡰⢌⠢⣁⠎⠠⠃⠔⡁⢢⠐⠄⢊⠀⠆⣁⠂⠌⢸⣿⣿⣿⣾⣿⣿⣿⠂⡠⠁⣼⣿⠀⠌⠰⢀⡑⠤⠐⠸⣿⡆⠰⠈⢄⡈⠀⠐⠠⡁⢂⢻⣷⡄⠠⣿⡀⠀ ⣟⡾⣱⣿⡗⣿⣿⣽⣮⣻⣷⣛⠿⣿⣿⣿⣿⣷⣷⣷⣧⡽⣌⠧⣃⠾⣿⣧⡛⣔⠣⣌⠳⣡⢙⠻⡿⠽⢟⠡⡑⢌⢒⠡⢢⠉⢆⠰⢌⠒⠤⣈⣵⡾⠷⢦⣦⠈⠌⡂⠌⠂⢄⠘⢈⠘⣿⣿⢿⣿⣿⣿⡟⢀⠠⠡⠘⣿⣦⠘⡐⠠⠐⠠⢁⠆⠹⣿⣄⠉⠄⠄⡡⠄⠁⡀⠂⢼⣿⡔⠀⢿⡀⠀ ⣟⡾⢧⣟⣿⣷⣻⣿⣟⣿⣾⣫⡿⣝⡿⣿⣿⣿⣿⡿⣿⣿⣎⠶⡙⢦⢍⡻⣿⣮⡱⢌⠳⡌⢎⠲⡌⡓⣌⠣⡑⢊⡄⠳⣈⠱⣈⠒⠬⡘⡐⢸⣿⡐⡭⣡⣽⡇⢂⠡⠌⡁⠢⠌⠠⠌⡙⢯⣯⣷⣿⠟⡀⠂⠰⢀⠁⡈⣻⢿⣶⣌⣌⡐⡈⢄⢡⠝⣿⣦⡈⡐⡐⠠⢁⠄⠠⣸⣿⣢⠁⡞⠄⠀ ⣟⢾⣛⡾⣽⣷⣿⣻⣿⣿⣻⢿⣟⣮⢹⡟⣿⢿⣿⣽⡻⣿⣿⣾⣝⣎⠲⣕⠪⢿⣿⣮⣕⡸⢄⠳⢰⢁⠦⣁⠧⡑⢌⠱⣀⠣⢄⡉⠦⡑⢌⠢⠌⡙⡛⢏⠥⠐⢂⠜⢠⢀⡁⢂⠡⠒⡀⠢⢈⠅⠠⡀⠄⠡⡁⠄⢢⣾⠏⢄⠐⡉⠉⡄⠘⣀⠢⡌⠀⠟⣿⣶⣤⣁⢂⣀⣶⣿⡿⠋⠄⠧⡄⢂ ⣯⠷⣯⣝⣯⢿⣷⣿⣞⣿⣯⣿⣿⣿⣧⡙⣮⢛⡼⣮⢽⡳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣥⣃⠎⠴⣁⢆⠩⢆⠣⢌⠒⡔⢘⠢⡑⡈⠔⣨⣿⣷⢐⠂⢅⠊⡐⡀⠆⠨⠄⢂⠑⠠⢁⠆⢈⡐⠠⠉⢂⣤⣿⡿⠛⢈⠠⢈⠤⢁⠢⢁⢂⢠⣡⣷⡞⠄⡩⡙⡛⡿⣻⡿⡺⠡⢘⠈⠰⠈⡅ ⣯⢟⡾⣼⡞⣿⣻⣿⢮⣽⣳⣿⣿⣿⣾⠳⣍⣏⢶⡳⣏⣿⣿⡿⢿⠟⡿⣛⢻⢻⣿⣟⣱⣬⣿⡿⡿⢿⡶⣶⣬⣒⠌⡒⢌⡘⠤⢃⠆⡱⠘⡰⢈⡛⡉⢄⠊⡄⢊⠐⣠⣌⣤⡅⠂⣬⣴⣤⣦⣤⣤⣡⣾⡿⢿⣿⠂⣰⣾⣶⣦⣤⣦⣴⣿⡿⢿⣿⡁⠔⠨⠄⡱⢨⡵⡏⠎⢠⡝⠠⠀⢁⠂⡌ ⣿⢮⢷⣛⣞⡷⣫⣿⣿⡶⣯⢗⣯⣟⣿⣹⢿⣬⢣⣿⣿⣛⠴⣏⢮⢫⡕⢧⢋⠶⣽⡿⢯⣳⣣⣽⢾⡷⣕⡫⡝⣻⣷⣾⣦⣥⣎⣔⣨⣐⡑⢄⠢⠔⡠⡂⠅⠒⣾⣟⣛⢉⠁⢂⠑⠄⠢⢈⠨⠭⠍⢉⠙⢛⣿⣧⣾⣿⢯⣽⣿⣿⣿⠟⠙⣷⣄⠉⠛⢯⡆⡑⢜⡒⢯⠰⢸⠞⠀⠀⠁⡀⢂⠠ ⣿⣯⢞⡽⢮⠿⣵⡻⢿⣿⣷⣟⡾⣽⣟⣮⣿⡶⣿⡟⠶⣭⡛⡼⢎⢧⡹⢎⣯⣾⢿⣹⣟⣷⣿⣾⡿⣿⣿⡷⣙⣦⡿⠿⣿⢏⡟⡿⠿⠿⣿⣿⣿⠿⠿⢻⢛⠟⣻⣏⠛⣛⠻⠿⠷⠾⢶⡷⠶⠆⢶⡾⠻⠛⢻⣿⠟⣿⣿⣽⣿⡿⠃⠌⡐⠈⠿⣷⣌⠐⣈⠺⣧⡄⢌⡲⢺⣇⠌⢀⠂⡀⠀⠂ ⣿⣞⡯⣞⢯⣻⠵⣯⢯⣻⢿⣾⣿⣿⣻⣿⡿⣽⣿⣹⡳⢥⣛⣼⢏⡮⣹⢾⣿⣯⣟⣿⢯⣷⣿⣻⢿⣿⣽⣿⡿⢋⠜⡡⢆⣺⣿⣷⣭⣾⣿⣖⣿⡻⢯⣕⠫⡜⢼⣷⠘⢄⠊⢤⢁⢎⢢⠈⡵⢈⡐⢤⡚⠅⣿⣿⣿⣾⣿⣿⡿⠱⣌⠰⣈⠑⡄⠚⠿⣧⠀⠂⡉⢿⣤⠉⢦⠻⣕⢄⠢⠐⠡⠁ ⣷⢯⣷⡹⣎⢯⠿⣭⡻⣝⡿⣿⣿⢯⣿⣳⣻⣿⣏⣶⣹⣖⢯⣿⣿⣞⣵⣺⣿⢺⣿⣿⡿⣿⣿⣿⣿⣿⣿⢣⠌⠥⠣⣱⣾⠛⡅⢆⡛⣿⣏⠉⣿⣷⣅⠫⣓⠜⡸⣿⣬⣄⢊⣿⡆⠎⣔⠩⢌⠇⡎⡤⡝⣈⣿⣿⣿⣿⣿⡿⢁⡲⢚⠒⣆⢉⢄⢃⠔⠂⠹⢦⣄⡀⠹⢿⣚⣧⠻⣿⣆⠁⠁⠂ ⣯⠿⣽⡳⣝⢯⣛⡶⣽⡹⣞⣿⣽⣾⣽⣿⣾⣿⣷⢺⣿⢿⣿⡟⣽⣿⢛⣻⣷⡿⣿⢻⣿⣿⣿⣿⣽⡿⣁⠖⡘⢬⣵⡟⠥⡓⡌⢆⡡⢻⣯⣈⣼⣯⣻⣧⣥⣚⣴⣿⣶⢩⡍⣋⠝⡩⢦⣯⠿⡍⡝⣱⡏⣿⣿⠠⠙⣿⡟⣠⠗⠠⢃⠜⡰⣊⠤⢊⡌⡰⣁⠢⡙⠻⣶⣬⣻⣾⢇⢹⣾⠀⠀⠀ ⣾⣻⢗⣿⢼⣫⡝⣾⣱⣛⢾⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣼⣽⡏⡞⠴⣋⣷⡹⢿⠿⣯⣿⢿⡿⡑⢢⠎⣱⣾⢟⡙⠴⡑⡸⢀⠇⡍⢻⣿⣿⣿⡿⠾⢟⠻⢋⡝⣿⡔⡧⡔⡅⣃⢷⣧⢗⣸⡒⣼⣀⣾⣇⣠⣡⡿⣰⠋⡌⢱⢊⠦⡑⢎⡩⢣⢒⡰⢠⠁⠆⡑⣠⣽⡿⠟⡀⡾⠃⢠⠠⠄ ⡷⣯⠾⣽⣧⢷⡹⣶⢳⣛⡾⣽⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣯⣭⣿⠵⣉⠞⡩⣿⣯⣝⡫⢗⣿⣿⠣⡙⠴⡘⣾⠟⡤⢍⠲⣡⡃⡎⠲⡨⢹⡿⠟⣷⣮⣍⣮⢶⠩⡔⢿⣧⣹⡌⡸⡭⢶⡯⠞⣌⢧⡟⣸⣿⢋⠛⢿⣵⠃⡱⠘⡔⣪⠑⡍⡖⡌⠥⢎⡔⠣⣌⣢⣾⣿⣿⠛⢢⡝⠀⢋⠠⠐⡀ ⣿⣩⢟⡾⣽⣖⡻⣼⢳⢯⣽⣳⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣟⢽⣟⢮⡱⢎⠵⡹⣿⡿⢿⣿⢾⣿⣡⠑⡊⣜⡝⡹⢰⢉⠲⣄⠲⣉⢜⣤⡿⢋⠜⡠⢘⢿⣷⣈⠖⢩⠚⣿⠼⣇⠇⡔⢢⡗⣝⠞⣹⢏⣿⠻⠳⠿⣦⣽⣥⡐⣡⠩⠔⣩⠰⡘⣤⠟⣂⣴⣷⠿⢛⠱⣿⠃⣴⠋⠀⠐⠀⠄⢁⠀ ⡷⣭⠾⡽⣽⣧⠿⣜⣯⣛⣮⣷⣟⣻⢿⡹⣏⣿⣿⣽⣿⣿⢣⣾⣿⡦⣙⠎⡞⢥⠻⣿⣖⡰⠣⡝⡻⢿⣶⣿⣼⣵⣧⢊⡱⠌⣕⣨⣿⠏⡐⡡⢂⠥⡁⢆⣿⡿⣾⣤⣃⢻⣷⣯⣎⣈⡡⣯⣌⣂⣼⣴⡡⢌⡑⠒⡄⠢⠍⢻⢷⣄⠣⢄⡧⣓⣵⣾⠿⡭⣐⡂⠣⡘⡥⢸⣿⠀⢈⠀⠌⠀⠂⡁ ⣟⡼⣫⢗⡿⣼⡿⣵⢾⣹⢾⡽⣧⢻⣧⢟⣞⣿⣿⣿⣿⣿⣿⢛⣿⣷⢩⠞⣱⢊⡵⢩⠿⣷⣷⣰⠑⢎⡰⢣⢙⢡⠃⣿⣿⡿⢿⡟⠿⣷⢶⣥⣮⣴⣾⣾⣿⣄⣣⢍⢛⠿⢿⣭⣽⣉⣟⢋⢋⠭⢙⢨⠑⠤⢡⠋⡄⠓⡌⠡⠌⡛⠷⣿⡾⠟⠻⢧⣈⠐⢉⠖⣥⡠⢱⢻⣷⡆⢀⠂⡄⢁⠂⡅ ⡟⣼⡹⣞⡽⣯⣷⣏⢾⡷⢯⣟⣿⢧⣿⣫⢾⣿⣿⣽⣷⣿⣷⣿⡿⣿⣎⢳⢌⣆⠣⣇⣾⣷⠿⠻⣿⣶⣶⣥⣎⣂⠓⢆⢛⡛⡛⡡⢋⡐⢢⠙⣿⡶⠿⡁⢍⠛⣿⣾⣮⣬⣒⠆⠣⠝⢛⡛⠷⠾⣬⣤⣍⣊⢒⠰⠜⠴⠈⠥⣃⠰⢡⡨⢄⠣⡱⢈⠙⣷⡀⠌⠺⢿⣎⡷⢸⣽⠀⠄⡐⠀⠂⡄ ⣟⢶⣹⢞⣽⣳⢿⣞⣻⡼⣟⣯⣻⣧⢻⣷⢫⢿⣿⣾⣟⣿⣿⣿⡷⣹⣿⣧⡚⣤⢓⣿⣿⣿⣿⣷⣶⣿⣯⡟⡛⡟⠿⢿⡶⣾⣶⣵⣶⢬⠧⢉⠶⠶⡷⠿⠟⢻⣿⡝⡬⢹⢛⡿⣿⣾⣦⣼⣌⣱⡄⡌⠜⣉⢋⣛⠓⣋⠟⠶⢖⠮⠶⢦⡶⢥⠶⠅⡑⠫⠑⡐⢨⣸⣿⣚⡥⣿⡂⠈⢄⠈⡁⠆ ⣏⢾⣱⢟⣾⣹⢯⣷⣫⢿⡵⣾⣳⢿⣏⢷⢯⢷⣛⡿⣿⣿⣿⢿⣷⣿⣛⣿⣿⣤⢣⠽⡻⢟⢿⣿⣿⣿⣿⢇⡓⢬⡙⢢⠔⡰⢂⠆⡔⢢⡑⢌⣊⠱⡐⣿⣿⣳⣿⣧⡑⡡⢎⡴⣇⡶⣽⣿⣿⢿⣿⡿⢿⣶⣷⣶⣦⣥⣌⣒⣉⡘⠡⢆⠒⣡⢊⣅⣩⣴⣥⣼⡾⣟⣧⡿⢃⡇⢁⠂⠢⠐⠠⡁ ⡾⣭⣛⠾⡶⢯⡿⣽⣟⡻⣞⡵⢯⣟⣿⢮⡿⢮⡵⣛⢿⣿⣿⣿⣿⣿⣿⣿⣝⡻⣿⣷⣝⣸⠢⡝⡻⡿⢋⠖⣩⢆⢣⢃⢎⡱⣉⠦⡙⢤⠘⡰⢀⠣⠘⢿⡿⣿⣿⡿⣷⡇⣿⣿⣿⣟⢿⠻⢞⡿⣿⣿⣧⡲⡔⢦⣡⢋⣼⢍⢯⣁⢧⣘⢬⡝⣫⣯⣹⣭⣟⣼⣷⠿⢋⡡⠊⠄⠠⠂⡐⢈⠀⡄ ⡷⢮⡝⣯⡽⣯⣟⠷⣿⢵⣫⣞⣿⢾⣻⡎⣽⣷⣋⣧⣿⣿⣿⣿⣳⣿⣿⣿⣷⣳⣿⠯⣼⣟⢷⣾⣵⣌⣣⣙⡒⢬⠲⢍⠆⡖⣡⠲⡉⢆⢓⠤⢉⠢⠡⢈⣙⣫⣾⢷⣾⣿⣿⡟⡍⠛⠿⣉⡢⢭⠖⣿⡅⠉⠜⡡⣉⠍⠒⣋⠚⣊⠓⢋⢚⡉⢓⡋⢉⠩⢉⠔⠂⡀⠁⠠⠐⡐⠐⠠⠐⠠⠂⡄ ⡷⣎⢷⣭⢳⣽⡻⣶⣻⣞⣯⡽⣏⣾⣿⢳⡽⣯⢻⣽⣿⣿⡟⡿⣿⣿⣿⣿⣿⣿⣿⣔⣿⣿⡜⣻⡿⢻⢿⣿⣷⣾⣶⣼⣴⣥⣯⣄⣧⣘⣌⣴⣬⣤⡶⠾⣿⠛⢉⣬⣿⢿⣿⣷⡇⠂⠰⠏⡱⢜⣶⣻⢗⠠⠀⡡⠉⢀⠂⠉⠠⠉⠠⢈⠈⠁⠈⠁⠌⡀⠌⠄⢀⠡⠐⠂⢄⠁⡐⠂⡐⢀⠀⡃ ⡿⣜⣳⢮⡟⣼⡻⢷⣯⢿⢾⣳⣯⣿⢮⢳⣿⡹⣿⣿⣿⡿⡼⡹⣜⠻⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣮⣿⣷⣮⣿⣭⣍⣻⣿⣭⡙⢭⣿⢍⡡⢹⣿⣰⣹⣷⣾⢿⣯⢞⣿⣼⠆⡡⠜⢌⣘⡜⣳⡿⠇⠠⡁⠄⠂⠄⠐⠠⡁⠄⠂⠄⠂⠁⠠⢀⠐⠠⠀⡐⠠⠐⡁⠅⡐⠈⠔⠀⠰⢀⠂⠅ ⡿⣜⣣⡟⣾⣳⣟⣻⢞⣿⡿⣼⡷⡯⢏⡿⣾⣽⣿⣿⣿⣷⣿⣿⣷⣟⢮⡳⣎⢼⣿⣿⣿⣿⣼⣻⣿⣿⣿⣿⣿⣿⣟⣿⣿⠿⣟⠻⣿⣾⣿⢿⢿⡿⣿⣿⣫⣽⣿⡟⣿⣿⢏⡟⠷⢶⣾⣶⢷⠷⢛⡁⢎⠡⢄⠃⠬⢐⠡⡁⠔⢠⠈⡐⢄⡁⠡⣀⠢⢁⠂⠄⡡⠐⡈⠔⢈⠌⠄⢈⠐⠠⢈⠆ ⡽⣎⠷⣹⢧⢷⠾⣝⣞⣞⣿⣼⢿⣛⣽⣛⢯⣿⣿⣿⣿⣿⣿⣻⣿⣿⣶⣷⣾⣿⣿⣯⣻⣿⡿⣿⣿⣿⣿⣿⡿⣻⣿⣿⣵⡪⣴⣭⣿⣿⣷⣾⣶⣿⡿⣻⣿⣛⣶⡿⢟⣋⠞⡁⠇⢒⡈⢋⠔⣂⠂⠔⢌⠰⠁⠎⠡⢂⠒⠌⡐⠂⡑⠈⠄⡀⢃⠀⢂⠆⠡⠌⡀⢃⠐⢃⠂⠰⢈⠂⠌⡐⠁⡂ ⣿⣾⡝⣯⢟⣾⢫⡽⣎⣷⣻⣾⢿⣏⣾⣹⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⡝⣶⡣⡟⣽⣿⣿⣿⣿⣷⣹⡷⡽⣿⣿⣿⣯⢿⣽⣯⣟⣷⣿⣿⣿⢛⠩⠕⠠⢋⡀⠎⣰⠉⢆⡙⡂⠌⡔⠨⣑⠔⡂⠍⡐⠡⠂⠌⡐⢀⠃⠄⢃⢂⡘⠠⠈⡄⠌⡐⢂⠡⢈⡐⠄⡈⢁⠂⠌⠐⠠⠁⠆ ⣿⣿⣿⣞⣻⣼⡻⣜⣻⣼⣳⢿⡿⣟⣼⢣⣏⢾⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⡟⣵⣻⣧⣿⣽⣞⡶⣿⣿⣿⡿⣿⣿⣽⣿⣿⣿⣿⣷⣿⢿⣼⡿⢟⠯⠂⡅⠂⠌⢐⠠⡘⠴⣀⠚⢄⠒⢌⢡⠂⡡⠄⠒⡐⠤⠑⡈⠌⡐⢈⠄⡈⠌⡀⠆⢠⠁⠒⠠⠐⣀⠂⠂⠡⢀⠂⡐⠠⢈⠐⡈⠄⢁⡃ ⣸⣿⣿⡷⣛⡶⢯⡝⣮⢷⡻⣯⣿⣳⡭⡗⡞⣌⣿⣿⣿⣿⣿⣿⣵⣻⢿⣻⣷⣻⣿⣿⡿⢷⣹⣿⣻⣼⢻⣿⣿⣿⣿⣿⣿⣟⣿⡿⣿⣯⣿⣿⡿⢋⡴⡩⢀⠡⠈⡄⢃⡘⡔⢌⡉⠦⡉⢌⢂⠩⢐⠈⡔⠡⢂⠡⠐⠂⠌⢂⠐⡈⠔⠌⡐⠂⠅⡨⠁⠒⠠⠐⠡⠌⢀⠂⠄⡁⠂⠄⠐⡈⠄⡁ ⣿⣿⣿⡽⣹⣞⡯⣽⢳⣏⣿⣳⣿⡷⣻⣽⡜⣮⢿⢫⢝⡻⣿⣿⣶⣝⣾⢷⣿⣿⢟⢻⣼⢻⣿⡟⣷⣚⠯⣿⢿⣿⣯⣿⣹⣯⣿⢾⡹⣿⣿⡾⢔⣓⠪⡔⢖⡲⣑⠘⣄⢣⢘⡰⢌⠰⡈⡌⡐⠌⠤⡁⢌⡐⠡⢂⠡⠌⠠⡁⢌⠐⡐⠰⢀⠊⠄⡐⠄⠃⡠⠁⠆⡐⠨⠐⡈⠐⡈⢀⠂⠄⢂⣸ ⣿⣿⢻⡜⣷⢺⠷⣭⢷⣺⢳⣟⡾⣿⣹⢷⣻⢧⣯⡽⢮⠷⣣⢯⣽⣿⣿⢿⡿⣿⣾⣟⡮⣗⣺⢿⣶⣙⣞⣲⡍⣞⡻⣿⣽⢩⢧⡳⣯⡽⣛⣷⣮⣴⢍⡜⢆⠱⢌⢢⠆⡂⢇⠰⡈⢆⡉⠔⡈⠜⠠⣁⠢⢀⠣⠐⠂⠌⠡⡐⠠⢂⠡⠐⡁⠌⡐⠐⠠⢁⠐⡈⠐⢀⠁⠂⠄⠡⠐⡀⢈⠀⡶⢉ ⡻⣼⢣⡟⢮⣛⣯⢷⢯⣽⣻⣞⡿⣽⣿⣹⣯⢏⣿⣟⣿⣻⢽⣿⣿⣿⣿⣯⣝⣿⣿⡻⣝⡾⣽⠻⣿⣷⡞⣽⢻⢶⠿⣿⣿⢿⡞⣟⡱⠜⣬⢩⢿⣷⡥⠚⣌⡱⠌⢢⠘⡡⢊⠣⡁⢆⢊⡌⠰⠌⡡⢄⠢⢁⠆⡱⠈⡌⠡⠌⠒⠠⢂⢁⠊⢐⡀⠃⢈⠂⡐⢁⠐⢂⠈⠄⢊⠐⠡⢀⠂⡼⠁⠂ ⣝⢧⣟⡾⣭⠿⣼⡻⣞⡧⢿⡞⣽⣻⢷⣳⢽⣺⣿⣯⣷⣻⣞⣾⣿⣿⣿⣻⢯⣿⣿⣷⣾⣿⣿⣷⣿⣧⣛⡼⣹⢯⢿⢲⣛⣷⣽⢰⣱⢫⠴⢣⠎⡽⣿⡽⣦⡒⠜⡠⣃⣑⣂⣅⣌⣰⣦⣬⣬⣴⣤⣦⣡⣬⣐⣠⣉⣄⣁⡊⠥⢁⠡⠈⠔⠠⠀⠌⠠⢈⠠⢀⠂⠄⠂⠈⠀⠂⠌⠀⠸⠀⡈⠀
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૮₍˶ •. • ⑅₎ა ♡st☆rgirl𝓱𝓮𝓵𝓵𝓸 𝓴𝓲𝓽𝓽𝔂
🐰💬
⋆˙⟡♡
ミ🎀・◦・ミ "🐇,🦢,🍨" pink, swan,my melody
‧₊˚🖇️✩ ₊˚🎧⊹♡˚˖𓍢ִ໋🌷͙֒✧˚.🎀༘⋆⋆ ˚。⋆୨♡୧⋆ ˚。⋆⋆ ˚。⋆୨♡୧⋆ ˚。⋆⋆ ˚。⋆୨♡୧⋆ ˚。⋆
🐇🦇🌸🎀🍥🖤💀◛⁺⑅♡
⠀⢨⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀ ⠀⠀⢇⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⢀⢠⠃⠀⠀⠀⠀ ⠀⠀⠈⢦⢄⣀⢀⡤⣀⣸⡤⠖⠒⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⣠⠎⠀⠀⠀⠀⢘ ⠀⠀⠀⠸⡁⢨⠯⡄⣨⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⢦⡀⠀⠀⠀⠀ ⠀⠀⠀⠠⡋⠘⣲⠃⢈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⡄⠀⠀⢀ ⠀⠀⠀⠀⡝⠉⠉⠑⠉⠀⠀⠀⣠⠤⠒⠈⠉⠉⠉⠁⠒⠠⢄⡀⠀⠀⠹⡄⢠⡮ ⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⢇⠟⠁ ⠀⠀⠀⡇⠀⠀⠀⠀⢐⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠸⠀⠀ ⠀⠀⠀⢷⠄⠀⠀⢀⡎⠀⠀⣠⡖⠂⠀⠀⡠⠤⢄⠀⢔⠦⢤⠀⠀⠀⠛⢣⠀⠀ ⠀⠀⠀⠘⣆⠀⠀⢀⠀⢠⢏⡞⠁⠀⠀⠀⠑⠒⠉⠀⠀⠹⠳⡇⠀⠀⠀⣳⠀⠀ ⠀⠀⠀⠀⠘⢶⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⢦⣠⠧⠞⠁⠀⠀⠀⢀⠞⠉⠁⢣⡀ ⠀⠀⠀⠀⠀⠀⠙⠦⣈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡔⠊⠁⠀⠀⠀⠀⠑ ⠀⠀⠀⠀⠀⠀⠀⣠⣤⠛⠛⠛⠒⠒⠒⢲⣏⠙⠟⢙⡅⠀⠈⠉⠒⠤⣀⠀⠀⠶ ⢀⣔⠒⠢⢄⡀⠀⢻⣾⠧⡀⠀⠀⢀⣾⢏⣩⣼⣼⣞⠳⣄⡀⢀⡤⠚⢿⠀⠀⠠
⠄⡂⢀⠀⢿⣿⣿⡿⣟⣿⣻⣟⡿⣽⣻⢟⣯⣟⡿⣽⣻⢿⣻⢷⡀⢂⠄⡂⠄⡀⠀⣾⡿⣽⣫⣟⡽⣫⢯⡟⣽⢫⣟⡽⣫⣟⢿⣳⣀⠒⡐⢆⠰⡀⠆⠠⠀⠀⠀⠀ ⠐⣁⠂⠀⢹⣿⣯⣿⢿⣳⣟⡾⣽⣳⢯⣟⡾⣽⣞⡷⣯⢿⡽⣯⣷⡁⢂⠌⠰⠀⢘⣿⣽⣳⣟⡾⣽⢯⣷⣻⣽⣳⡾⣽⣳⢯⣿⣹⣿⡐⠌⡠⠂⠔⡈⡐⠠⠀⠐⠂ ⠐⡀⠂⠐⢀⢻⣿⢯⣿⣿⣽⣻⢷⣯⣟⡾⣽⣳⢯⡿⣽⢯⣟⣷⢻⣧⠈⡄⠃⠄⢹⣿⣾⣽⣾⣻⣽⣟⣾⣳⣯⡷⣟⣷⣯⣿⢾⣽⣷⡇⢂⠡⣁⠊⡐⠠⢀⠐⢀⠁ ⠐⢨⠐⠈⡀⠘⣿⡿⣿⣾⣻⣽⣟⡾⣽⣻⣗⣯⢿⣹⡟⣾⡽⣞⣯⢟⡆⡘⠄⠂⠄⢻⣷⣿⣯⣿⣟⣾⣿⣽⣷⣿⣿⣿⣾⣿⣿⣿⡾⣇⠎⠰⡀⢆⠩⡐⢀⠐⡀⠂ ⡘⡄⢂⠐⡀⢁⠸⣿⣿⣽⣟⡷⣯⣟⢷⣻⢾⣭⣟⣳⡟⣧⢿⣹⢮⡟⣷⡈⢌⠐⡀⠂⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⡿⣽⢈⠱⡐⢌⠰⣀⠂⡐⢀⠁ ⡐⢂⠢⠐⡈⠄⢂⠻⣾⢿⣾⢿⡽⣞⣯⣟⢾⣳⢞⣧⢿⣹⡞⣧⠟⣞⢯⡟⣶⠶⣶⣳⠶⣏⣻⣛⠿⣿⢿⣿⣿⣟⣿⢿⣽⢿⣻⢿⣽⣻⢌⠢⡁⢎⠰⡀⢂⠐⡀⠂ ⢌⡱⢈⠐⡐⡈⠄⢂⠹⣿⣯⣿⣻⡽⣞⣞⢯⡞⣯⠞⣧⢳⡝⣶⣛⢮⡳⡽⣭⣛⢶⣹⢻⡼⣥⢏⡿⣜⢧⡻⣜⢯⡻⢿⡽⣯⣟⡿⣾⣽⠢⣅⠱⡨⣑⠢⢁⠒⡈⠐ ⡎⠶⣉⠦⠱⠌⠜⠢⠅⠿⣞⣷⢯⡻⣝⢮⡻⣜⣧⢻⣎⠿⣜⢧⣛⢮⡳⣝⢶⡹⣎⢷⣫⢼⣣⢟⡼⣹⢎⡷⣹⢮⣝⡻⣜⡳⣞⣻⢷⣏⠷⠌⠳⠱⠎⡕⠊⠖⢡⠋ ⠀⡀⠀⢀⠀⠈⠀⠁⠀⣤⣿⣛⣮⢷⣛⡮⢷⡹⣎⡷⣭⣛⢮⡳⡽⣎⢷⣹⢮⢷⡹⣎⢷⣫⢞⡽⣺⢵⣫⠾⣵⢫⡞⣵⣫⠷⣭⢷⣫⡾⣦⡈⠀⠀⠀⠀⡀⠈⠀⠀ ⠀⡀⠈⠀⡀⠀⠀⢀⣾⡿⣽⢳⡽⣞⢧⣟⣭⢷⣫⢾⣱⢏⡯⢷⡝⣾⡹⣎⡟⣮⠽⣝⣮⢳⣏⣞⢧⠿⣜⣻⡼⣫⣝⡧⣏⣿⣹⢮⢷⡻⣏⡿⣆⠁⠀⡀⠀⠐⠀⠀ ⠀⢀⠀⠠⠀⠀⢀⣾⡿⣽⡽⣛⡾⣽⡞⣾⢼⣣⢯⡗⣯⢯⡽⣳⢏⡷⣽⣹⠾⣭⡻⣝⣮⢷⣫⢞⣯⢻⣭⣳⢽⣣⢟⡼⣏⡶⣯⣻⢾⣝⣯⢷⣻⢦⠀⡀⠀⠀⠀⠀ ⠀⠂⠀⠀⠐⣠⣿⢯⣟⣷⣻⣽⢻⣧⣟⣳⢯⣯⢷⣻⢧⣟⡷⣯⢿⣹⡶⣏⣿⣳⣽⣏⣾⡳⣯⢟⣞⣯⢶⣯⣟⣾⣫⣽⢾⣽⣳⢯⣟⡾⣽⣻⣞⣯⢷⡀⠀⠠⠀⠀ ⠀⠐⠀⠈⣰⣿⢯⣟⣾⣳⣟⣾⣻⢾⡽⣯⣟⡾⣯⣟⠿⠞⠛⠉⠉⠉⠉⠁⠀⠀⠀⢀⠀⠉⠉⠉⠉⠚⠛⠾⢞⣷⣻⣞⡿⣾⣽⣻⢾⣽⣳⢷⣻⣞⢯⣷⠀⠀⠄⠀ ⣂⠒⡄⢆⣿⢯⣟⣾⣳⣟⣾⣳⢯⣿⣽⡳⠟⡉⠁⡀⠠⠈⠀⠄⠁⠀⠀⠀⠁⠀⠂⠀⠀⠂⠈⠀⠠⠐⠈⠀⠂⢀⠉⡙⠿⣳⣯⢷⣟⣾⡽⣯⢷⣯⣟⢾⣇⡌⡔⣠ ⢨⠱⡘⣾⢯⣟⡾⣷⣻⢾⣳⣟⣿⠞⠋⢄⠀⠀⢂⠀⠐⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⡀⠀⡀⠐⢀⠐⡀⠄⡉⠽⣿⣾⢯⣿⣽⣻⢾⡽⣯⢾⡜⠰⢂ ⢀⠣⢰⣿⣻⣞⣿⡽⣯⣿⢯⡿⠃⠌⠠⠀⠰⠄⠠⠀⠠⠀⠀⠈⠀⡀⠐⠈⠀⠀⠁⡀⠀⠠⠐⠈⠀⠀⡀⠠⢀⠠⠀⢠⠀⠠⠐⠠⢿⣟⣾⣳⡿⣯⣿⣽⡻⣿⠁⠆ ⠠⠌⣹⣯⢷⡿⣽⣻⣽⣾⣟⠠⠁⣌⣤⣷⣾⣿⣷⣿⣦⣆⡁⠀⢂⠀⠄⢁⠀⣁⣀⡀⠄⠐⠀⠂⠁⠠⣄⣶⣾⣷⣿⣿⣦⣥⣈⠐⡠⠹⣿⣷⢿⣟⣾⢷⣻⣽⠘⡈ ⠠⡑⣸⣿⢯⣿⣟⣯⣿⣾⣺⢀⡃⢿⡿⢟⠏⡉⠌⢉⠙⠟⠁⡈⢠⢀⠀⢂⠸⣏⣿⡷⢀⠈⠄⡐⢀⠂⡘⢛⠏⠉⠌⡉⠛⣿⡿⠖⣀⠃⢿⣿⣻⣯⡿⣯⣷⣻⠄⡡ ⠠⡁⢼⣿⣻⣟⣾⣿⣻⣏⠥⣂⠔⣢⣔⣌⡰⠠⢌⠂⣌⠠⢡⠐⡂⢼⣮⣄⣇⣸⣀⡔⣒⣬⣦⠐⡄⢢⠐⣂⠌⢢⠐⡡⢒⣄⣢⣱⡠⣉⢎⣿⣿⣽⣟⡿⣞⣿⠠⢁ ⠠⢁⠊⣿⣷⢿⣯⣿⣿⣏⢖⡥⣟⡻⡼⡹⡗⣗⢪⠱⢤⡙⢤⠓⡌⢦⣹⣿⣿⣟⣿⢻⣿⣿⠏⡜⣠⠣⡜⢤⡚⢤⣋⡴⣿⢩⡳⢏⣻⡔⢮⣿⣿⢿⣾⢿⣽⡏⡐⢂ ⠠⠁⡌⠸⣿⣿⣻⣽⣿⣿⡮⣜⡶⣭⢳⡝⣣⣏⢮⣓⢧⡚⣥⢫⠜⣦⠹⣿⢿⣾⣞⣿⣿⢣⡝⣢⢇⡳⡜⡦⣝⢦⣣⢟⡜⣧⡝⣾⢻⣼⣷⣿⣿⣿⢿⣯⡟⡠⠄⠡ ⢀⠣⠠⠑⡈⢿⣿⣿⣿⣿⣿⣧⣟⣼⣳⣟⣧⣟⣯⣞⣧⢿⣜⣧⣟⣶⣻⡼⣏⣿⣻⣳⣽⣲⣽⣲⣏⡾⣝⡷⣽⢾⡽⣾⡽⣶⣻⣼⣳⣾⣿⣿⣿⣿⣿⠋⡐⢠⠘⡀ ⠄⢢⠁⠣⠌⢠⠙⢻⣿⡿⠿⣿⣿⣾⣷⣿⣾⣽⣾⣟⣾⣿⢿⣾⣟⣾⣷⣿⣻⣾⢷⣿⣾⣷⣯⣷⣿⣻⣿⣟⣯⣿⣟⣷⣻⣷⣿⣾⣿⣿⣿⣿⡿⠟⢁⢂⠑⠠⠒⡀ ⡘⠄⣈⠡⠌⢄⡘⢄⡊⠂⠀⠈⠉⠻⢿⣿⣿⣷⣿⣿⣯⣿⣟⣯⣿⣟⣿⣻⡿⣿⣿⣻⢯⣿⣻⢿⣽⣻⣽⣿⣿⣯⣿⣿⣿⣿⣛⠋⠁⠀⠀⠡⢣⠈⡄⠢⠌⡁⠒⡠ ⠄⣃⠰⢀⠃⠤⠐⡈⣧⣚⡔⣪⡔⣶⢂⠉⡙⠛⢿⡿⣿⢿⡿⡿⢿⡿⢿⡿⢿⣻⢾⡿⣿⢿⡿⣿⠿⣿⠿⣿⢿⡿⠟⠛⠉⠡⣎⡴⣠⠒⣔⠢⣄⠘⠠⢁⠒⡈⠡⠄ ⢒⠠⢒⠠⢌⡐⡁⠆⡘⢻⣾⣷⣿⣏⣦⢣⡐⣂⣼⡟⣼⢫⣗⡻⢧⣛⣧⠿⣯⠏⠈⢻⢮⢷⣹⢎⣿⣱⢯⣳⢻⣧⢐⠢⣍⢲⣹⣶⣧⣿⡯⠛⡄⢊⢁⢂⠒⢠⠁⠆ ⣎⢲⡡⢎⡐⣆⡑⣎⠴⡡⢆⡝⢿⣻⣷⣧⡳⠝⠿⣼⢳⣻⡼⣝⢯⣳⢞⣻⠏⠀⠀⠈⣿⢫⣞⢯⡞⣵⡻⣼⢳⡯⢟⣳⣾⣿⣿⠷⣛⢭⡰⢥⡘⢆⡎⣒⠜⣢⡙⢢ ⠎⠧⠹⠎⠝⠦⠽⠌⠷⠙⠮⠜⠧⠓⠻⣵⢿⡙⠀⠈⠛⠧⣟⣞⢯⣳⢿⡟⠀⠀⠀⠀⠘⣿⢾⣹⣞⣳⡽⠟⠋⠀⠙⣾⣯⠿⠡⠟⠜⠦⠝⠮⠝⠮⠼⠥⠯⠱⠍⠗ ⠀⡐⠀⠀⠈⢀⠀⠐⠀⠈⠀⠀⡀⠄⠁⠀⠙⡐⠁⠄⢀⠀⠀⠉⠉⠓⠛⠄⠀⠀⠀⠀⠀⠙⠛⣊⠩⠁⠀⠀⠀⠠⢁⠸⠁⠀⠄⠀⠂⠀⡀⠀⡀⠂⠀⡀⠀⠂⠈⠀ ⠁⢀⡀⠁⠀⠀⠀⠂⠀⠂⠀⠀⠀⠀⠀⠠⠐⠠⠌⠠⠀⠠⠀⠂⠀⠀⠀⠀⠄⠀⠂⠀⠄⠀⠀⠀⠀⠀⠐⠀⡁⠒⢀⠂⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠂⠀
⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠖⠒⠛⠛⠳⣆⠀⠀⢀⣸⡀⠀⠀⠀⣰⠇⠀⠀⠀⠀⠈⠙⣧⠈⠙⠷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀ ⠀⠀⠀⠻⣄⠀⠀⠀⠀⠀⠀⣰⡞⠁⠀⠀⠀⠀⠀⢸⣤⠞⠉⠀⠉⠻⣶⠚⠙⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠈⢛⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀ ⠀⠀⠀⠀⠸⣦⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠈⠙⠲⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡼⠃⠀ ⠀⠤⣄⡀⠀⠨⢿⡴⠀⠀⠀⠹⣆⠀⠀⣠⠞⠉⠉⠉⠓⣄⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠻⢦⡀⠀⠈⠉⠉⠒⠒⠒⠖⠒⠒⠋⠉⠀⠀⠀ ⣦⠤⣀⡩⠟⠶⣄⣽⣦⡀⣰⠖⠛⠓⠀⡇⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⣰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠙⠲⣽⡳⢶⡚⠛⢿⣿⠁⠀⠀⠀⠀⢣⡀⠀⠀⠀⠀⣼⠃⠘⠲⢯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣻⣦⡀⠀⠙⢿⡉⠲⡄⢻⠀⠀⠀⠀⠀⠀⠉⢒⡒⠒⠋⠁⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠳⣄⠙⢶⣄⢀⠻⡄⠘⢾⢧⡀⠀⠀⠀⠀⣠⡞⠁⠀⠀⠀⠀⠀⢀⡼⠃⠀⠀⠀⢀⣀⡤⠴⠒⠋⠉⠉⠁⠀⠀⠈⠉⠉⠓⠲⢄⡀⠀⠀⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣄⠀⠹⣄⠙⣯⡀⠘⣆⠘⣿⠛⠶⠦⠶⠚⠉⢳⡀⠀⠀⠀⣀⡴⠛⠀⠀⢀⡤⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣄⠀⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢳⡄⠈⢻⣜⣷⡀⠈⣶⡞⠀⠀⠀⠀⠀⠀⠀⠋⠉⠉⠉⠁⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠈⢧⠘⡏⠙⠲⢤⣄⡀⠀⠀⠀ ⠀⣀⠽⢾⡋⢙⣿⣧⠀⢘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⠿⠿⠿⢿⠞⢧⡇⠀⠀⠀⠀⠉⠙⠒⠠ ⠋⢁⣠⠞⠻⣏⠈⢿⡇⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠋⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⡞⠉⠀⠀⠀⠈⢷⣾⡗⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⢧⣀⠀⠀⣀⡤⠞⠙⣆⢘⡆⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠀⠀⠀⢀⣤⣤⣦⣶⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⠽⠖⠻⡇⠀⣀⡴⠛⣺⣇⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⣤⣾⣿⠿⠛⠛⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⣠⠴⠞⠋⠁⢠⣾⡿⠻⣆⠀⠀⠀⠀⠀⠀⢸⠃⠀⣼⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠁⠀⠀⠀⠂⠀⠈⠉⣠⡖⠹⣧⡄⠀⠀⠀⠀⢸⠀⠐⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣣⡾⢏⡉⠙⠲⣤⢀⣼⣆⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠋⠉⠓⠶⣤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠉⠉⠛⣝⡦⠔⠋⠁⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⠁⠀⠀⠀⠀⠀⠀⠉⠛⠷⣤⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⡟⠁⠀⠀⠀⢠⠏⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠈⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡾⠋⠙⠳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀ ⠀⠀⢀⡀⠀⠀⣼⡇⠀⠀⠀⠀⢸⣄⣤⣶⠟⠉⠁⠀⠀⠀⠀⠉⠉⠙⠲⣦⣀⣼⡀⣀⣀⣀⣠⣤⠤⠖⠚⠉⠁⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣠⣴⣿⢷⡀⠀⠀⠀⠈⣏⠻⢥⣄⡀⠀⠀⠀⠀⢀⣤⡶⠛⠛⠛⠛⠻⡿⣟⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠴⠖⠛⠉⠀⠋⠙⠶⣝⡦⢤⣀⣠⡾⡿⠂⠈⣉⠉⠛⠛⢛⡟⠋⠉⠁⠀⠀⠀⠀⠉⠛⠛⠙⠲⠦⣄⡀⠀⠀⠀⠀⣠⣴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠒⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⢦⣄⠀⠙⢦⡀⠉⠉⠚⠛⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⠖⠚⡽⠁⠘⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⢤⣈⠳⣦⠤⣀⣹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠇⠀⠀⢻⠀⠈⠳⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⣮⠟⠛⠋⠙⠓⠦⢤⠤⢶⡒⠦⣀⡀⠀⠀⠀⠀⢀⣀⠴⠋⠀⠀⠀⠀⠀⡇⠀⠀⠸⡎⠛⠶⣤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠈⣳⠞⠉⠉⠒⢯⣉⡽⠿⠻⠭⣀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣇⠀⠀⠀⠈⠙⠶⣤⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠈⠑⠀⠀⠀⠀⠀⠀⡇⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠉⠛⠂⠀
⠀⠀⠀⠀⠀⠀⢀⣠⣄⣤⣄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡎⠔⢹⡵⠧⡇⠙⢧⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢓⡇⠈⠀⠀⠀⠀⠀⠂⣏⢗⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠟⡣⡳⠐⠀⠀⠀⠀⠀⠀⢙⡇⢇⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠗⠦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡺⣁⡥⠅⠀⠀⠀⠀⠀⠀⠀⢁⠌⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡪⠏⠀⠀⠀⠱⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡪⠆⢋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⢉⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣃⠃⠀⠀⠀⠀⠀⢣⠥⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡔⣦⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢗⠀⠀⠀⠀⠀⠀⠀⠀⠀⡢⡇⠀⠀⠀⠀⠀⠀⢓⡕⢩⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡆⣏⣭⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡂⠀⠀⠀⠀⠀⠀⠀⢀⠃⠘⢄⡀⠀⠀⠀⠀⠀⠹⣒⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣄⠀⠀⠀⢇⠈⣀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⣳⡓⠶⠶⡦⣀⣀⠀⠀⡅⠀⠀⠀⢖⠠⠀⠀⠀⠀⠈⣖⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⣦⡀⠀⣳⣠⣾⣿⡀⠀⠀⠀⠈⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠙⠲⣢⠃⠀⠀⠀⠈⣷⣗⣀⢀⣠⡮⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣇⠻⣷⡋⠉⣏⠟⢘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣽⣔⠟⠣⡭⠫⡄⡈⣓⡄⠀⠀⡀⣔⣒⣥⣝⡊⠂⠙⠙⠩⠱⣐⡐⣄⡀⠀⠀⠀⠀⠈⢗⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠟⠁⠀⠄⣛⠆⠘⠂⠉⣰⡇⠋⠃⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⣨⣂⡀⠀⠀⠀⢡⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠰⡡⠷⠀⠀⣠⢞⠃⠀⠄⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⣀⣄⠀⠀⠀⠉⡽⡀⠀⠀⢐⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢟⡥⠀⠀⡊⠄⠀⠀⠀⣾⣿⣿⡃⠀⠀⠀⠀⠀⠀⡟⠻⡇⠀⠀⠈⢳⣧⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⡏⠁⢸⡏⠀⠀⠁⠀⠈⠻⠟⠁⠀⢠⠒⡆⠀⠀⠇⠈⡇⠀⠀⠀⠘⢯⡦⠀⡐⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣑⣇⣀⡀⠀⠀⠀⠀⠀⠀⠀⢤⣬⣭⡥⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣧⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠶⢦⠾⠹⠭⠍⡉⡛⢻⣷⣲⣓⡶⠶⠖⣀⢀⠠⠀⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⡒⠃⠀⠀⠀⠀⠁⠈⣿⣕⡀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⡐⡈⠀⠀⠐⠢⠀⠀⠀⠉⡧⢖⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠡⣀⡀⠀⠀⡆⠂⠀⠀⠀⠁⠂⣺⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠅⢂⢀⡁⠀⠀⠓⡁⡂⠀⠀⠀⠀⠀⢝⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠰⡁⡁⠨⠀⠀⠀⠈⠲⡔⡀⠀⠀⠀⠀⠈⢆⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡟⠄⠀⠸⠀⠀⠀⠀⠀⠠⡎⠄⠀⠀⠀⠀⠉⢓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⠟⠋⠁⠀⠀⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⠟⠛⠀⠀⠀⠀⠀⣾⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⣾⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠋⠀⠀⠀⣀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡿⠃⠀⠀⣠⣾⣿⣿⣿⠿⠛⠉⠉⠉⠉⠻⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⠁⠀⠀⣾⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣼⣿⣿⣿⣿⡟⠁⣠⣤⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡆⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣷⣶⣿⣿⡿⣿⣿⣿⣀⠀⠀⠀⠀⠀⠀⣀⣼⣿⡇⠀⠀⣿⣿⣷⠀⠀⠀⠀ ⠀⠀⠀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣷⣶⣶⣶⣾⣿⣿⣿⡿⠇⠀⠀⢹⣿⣿⠀⠀⠀⠀ ⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠿⠿⠿⠛⠛⠋⠉⠀⠀⠀⠀⠘⣿⣿⡆⠀⠀⠀ ⠀⣼⣿⣿⣿⣿⣿⣿⣿⠏⠙⢿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣇⡀⠀⠀ ⣸⣿⣿⡟⠈⠉⠉⠉⠁⠀⠀⠈⠉⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣇⠀⠀ ⣿⣿⣿⠀⠀⠀⠀⢀⣶⣦⣤⣶⣶⣶⣶⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣧⡀ ⣿⣿⡇⠀⢀⣴⣾⣿⣿⣿⣿⡿⠟⠻⠿⠿⠿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⡇ ⣿⣿⣷⣰⣿⣿⡿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡇ ⠹⣿⣿⣿⣿⣿⠁⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⣼⣿⡇ ⠀⠹⣿⣿⣿⣿⣄⠙⠛⠛⠋⠀⢀⣴⣶⣦⣄⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⣰⣿⣿⡇ ⠀⠀⠈⠻⣿⣿⣿⣷⣄⣀⠀⠀⣼⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⠿⣿⣿⡇⠀⢀⣼⣿⣿⡟⠀ ⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣦⣤⣤⣬⣿⠿⠿⢋⣴⣿⣿⣧⣶⣿⣿⡿⠋⠀⠀ ⠀⠀⠀⠘⣿⣿⣿⣆⠈⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣷⣿⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠙⠿⠿⠋⠉⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠿⣿⣿⣿⣏⣿⣿⣿⠋⣈⣹⣿⣿⣿⣷⣤⣤⣤⣶⣿⣿⣿⣿⡉⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⡃⢀⣿⣿⡿⠟⠻⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠙⣿⣿⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⣼⣿⣿⣤⣾⣿⣿⠛⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣟⢻⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⢀⣿⣿⠿⠿⠿⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⣿⣿⣿⣿⣅⣀⣀⣀⣀⣀⣀⣀⣼⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
💞 .__join__ **mymelos** !!﹐・ᴗ・ ﹐**__new cute sanrio server__**﹕🩷 ﹐🎀 ﹕__pink & my melody layout__ ﹐♡﹔__fun activites and cool channels !__。👛 https://discord.gg/bh7M5375
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⣿⢏⡇⣀⠂⠰⣀⠒⡐⢂⠒⡐⢂⠒⡐⢂⠒⡄⢢⠐⠤⡀⠘⢽⣻⣟⣿⣻⠿⣝⣯⢻⡝⣯⣟⢯⡛⡱⢋⠖⣩⢒⡱⢊⢖⡩⠛⠽⢫⣏⢷⣫⣟⡿⣿⣟⣿⡹⢯⡝⣯⣟⡿⣽⣻ ⣯⢟⡶⡀⠌⡐⠠⠘⢠⠃⡱⢈⠅⡊⠔⡡⢊⠔⡡⢊⠔⠰⢠⠀⢳⣟⡾⣽⣻⣝⡮⣗⢯⢷⡉⠔⡬⢱⡉⢎⠤⢃⡜⡡⠎⠴⡉⡔⡀⠙⢮⣳⡽⣟⣷⣻⢮⡽⢧⣻⠶⣯⢿⣵⣻ ⡿⣎⢷⣹⠀⡄⠡⠘⠠⢈⠰⢁⠎⡰⢁⠆⡡⢊⠔⣁⠊⡔⡁⠆⡀⠻⣽⣳⣟⣮⢗⣯⣛⠎⠀⣍⠲⢡⡘⢌⠲⣁⠦⡑⢪⠑⡴⢐⠡⢂⠈⣷⣻⢯⣿⣹⡟⣞⢯⡞⣽⢯⣟⢾⣽ ⣿⣹⣎⢷⣣⠀⠡⠈⠄⡁⠢⠌⢂⠱⡈⢆⠑⠢⠌⡄⠣⡐⢌⠰⣀⠀⠹⣷⣻⣎⢿⡲⣏⠀⡜⢠⠓⠢⠜⣈⠖⡐⢢⠡⢃⡜⢠⠃⡜⢠⠂⠑⣯⣟⣾⣳⢟⡽⣲⢻⣼⣻⣾⣻⢾ ⣷⢳⡞⣯⢳⣇⠀⢁⠂⠄⠡⠘⣀⠣⡐⠌⡌⠱⡈⠔⡡⢘⠠⢒⡀⠎⠀⠹⣷⢫⣗⣻⠂⠠⡘⠤⢩⠑⣊⠴⣈⠬⡁⢎⢡⠘⡄⢣⠈⢄⠂⠀⢼⣻⢾⣽⣫⢗⣯⢳⡞⣷⢯⣟⣯ ⣯⡳⣽⢣⣟⣾⣡⠀⠈⠄⠡⠁⡄⢂⠱⡈⠔⡡⠘⠤⡑⢌⠢⡁⢆⠩⡐⠀⢯⡟⣮⢳⠀⢁⢂⡑⠢⡉⠔⢢⠐⢢⠉⢆⠢⡑⠌⠄⠊⠄⢨⠀⢸⣯⣟⡾⡽⣞⡼⢧⣻⣽⣻⢾⡽ ⡷⣝⡾⣹⢞⣼⣻⢆⡀⠌⠠⢁⡐⠈⠤⡑⢌⠰⡉⢆⠱⡈⢆⠱⡈⢆⢡⢃⠈⢽⢳⣏⡆⠀⠠⠐⢡⠈⢒⠠⠉⠄⠊⠄⠒⡈⠐⡈⠡⠈⠄⠂⢸⡷⣯⢿⣽⢺⡝⣧⢻⡶⣯⢿⣽ ⣟⢮⡳⣝⣞⣳⣯⣟⡦⠀⡁⠂⠄⡉⠔⡈⢆⠱⡈⢆⠱⡈⠦⡑⠸⣠⠒⣌⠢⡌⡑⣎⢳⡀⠀⢁⠂⠌⡀⢂⠉⠄⠡⢈⠐⠠⠁⠐⡀⠡⠐⠀⢸⣿⣹⢿⡼⢧⡻⣞⣽⣳⢯⣟⡾ ⡿⣜⢧⣻⡸⣇⡿⣼⣻⢇⠀⠃⠄⡘⠠⢃⠜⡠⢃⠜⠤⢃⠤⢛⢣⡀⢟⡀⢧⠸⣠⠠⢄⠣⢄⡀⠀⠄⢀⠀⡘⢀⠃⠀⠘⠀⡄⢃⠀⡃⡘⠀⢼⢧⣟⡿⣸⡟⣧⢻⣤⡟⣿⡼⣻ ⣝⢮⡳⢧⡝⣾⣹⢷⡻⣞⡦⠀⠂⡐⢡⠊⡔⢡⢃⠎⡜⢡⠚⡌⢆⡉⢆⠍⣢⢑⠢⣉⢌⡃⠎⠴⡉⡔⡠⢄⠤⣀⢆⠲⣉⠖⡰⢈⠆⡁⠐⠀⡘⣿⡼⣻⡵⣻⡜⣳⢞⣽⣳⡽⢯ ⢞⢧⣛⣥⢻⡵⣛⣮⠽⣽⠶⣔⠀⢀⠣⡜⢌⠲⡌⠜⣨⠑⢪⠰⣁⠚⡌⢜⠠⢎⠱⡐⢢⡘⢌⠣⠜⣠⢑⡊⠴⣁⠎⢲⢁⢎⡱⢡⠚⠤⢃⡀⠳⢯⢷⣳⡽⣱⠞⣥⢻⣎⢷⣫⣟ ⢏⡞⢦⢣⢇⡻⣹⡜⡻⣜⡋⠀⣄⠊⡵⠘⡬⠑⣌⠚⠤⡙⡄⢣⠘⡔⡘⡌⠲⣈⠦⡑⣡⠘⡄⢣⢉⡔⠢⢌⡱⢄⠋⡆⢍⠢⡜⢡⡙⢂⠇⠤⣀⠈⠳⣧⢻⢥⡛⣬⢳⡞⣯⠶⣯ ⣾⡽⣞⡷⣞⣷⣳⣟⢷⠈⢀⡜⢠⢋⠔⣩⠰⡉⢤⡉⠖⡡⠜⢢⡑⠬⠰⢌⠱⡠⢆⠱⡀⠇⡜⢢⠡⢌⡑⢆⠒⡬⠘⣌⠂⢇⠜⠢⣌⢡⠚⡰⠠⢌⡀⠸⣷⢮⡵⣮⢷⣞⣶⡽⣶ ⣷⣻⣽⣻⡽⣞⡷⣏⠃⢠⠃⣌⠣⡘⠬⢄⠣⠜⠤⡘⢢⢑⠊⡥⢘⡰⢉⠆⠣⠔⣊⠱⢨⠑⣌⠢⠱⣈⠔⡊⠴⡁⢇⢢⠙⡌⠬⡑⢤⢂⠣⡐⢅⠢⡐⠄⠙⣯⡿⣽⣻⢾⣽⣻⣽ ⣟⡷⣽⢧⡿⣽⣛⠀⢀⠆⡩⢄⠣⢌⡱⢌⢊⡑⡊⢅⠣⡌⠱⡄⢣⡐⢣⢘⡡⢃⠆⣍⠢⡱⢠⢃⡃⢆⠎⡑⢢⢉⠒⡌⠜⡐⢣⠑⠢⢌⠢⡑⢌⢂⠱⡈⠄⠑⣟⡷⣯⣟⣾⣳⢿ ⣯⣿⣭⡿⣽⡳⢂⠜⡠⢃⠜⡠⢃⡒⢰⡈⠒⡌⠱⣈⠒⡌⠑⠈⠂⠘⣀⣦⣱⣬⣼⣤⣗⣶⣣⣦⡵⣮⣬⣥⣀⣁⠊⠐⠡⠘⠤⣉⠒⠌⣂⠱⢈⢂⠒⡈⢄⠀⠩⣟⣷⣻⢾⡽⣯ ⣛⣜⡣⢟⡳⢃⠌⢢⠑⡌⢢⠑⢢⠑⢢⠘⡡⠌⠑⢀⣠⣤⣶⣶⢿⡿⣿⣻⣿⣽⣯⣿⣽⣶⣿⡽⣟⣿⣳⣟⣿⣭⣿⣟⡶⣦⣤⡀⠉⠔⡀⠎⡐⢂⠡⠐⠂⠌⠀⢹⡞⣭⢏⣻⡹ ⣳⠮⣝⢧⡋⠔⡘⢄⠣⡘⠤⡉⢆⡉⠆⡑⢀⣠⠘⠫⢿⡻⠯⣿⣿⢿⣿⣟⣯⣿⣽⣿⣯⣿⢯⣿⣻⣽⣯⢿⣞⣯⣷⣟⠟⡓⣯⡙⠃⢀⡀⠂⢁⠢⠌⢂⠉⠄⠂⠈⣞⡵⣎⢷⡹ ⣧⢻⡜⣯⠆⢩⠐⡌⢂⡑⠢⠑⢂⠜⠀⣰⡄⠛⠃⠀⠀⠀⠀⠀⠙⣿⣟⣾⣿⣯⣿⣾⡿⣽⡿⣿⢿⣳⣿⣻⢯⣟⡇⠈⠀⠀⠀⠀⠀⠘⠈⢆⡀⠂⠌⠠⠌⢂⠁⠀⢮⡳⣎⢷⣹ ⣽⢣⡿⣜⠂⡡⠒⡈⠔⣈⠡⣉⠂⢀⡾⣯⡇⠄⠀⢠⠀⠘⡳⠀⠀⢻⣯⡿⣿⣾⣟⡷⣿⣻⣽⣿⣻⣽⣞⣯⣿⠾⠘⠀⠀⢛⠄⢠⠀⠀⢸⢯⡖⡀⠈⠡⠈⠄⡀⠁⣺⢵⣛⡮⢷ ⣾⡹⣞⡽⠀⡐⠠⠁⡌⠄⠒⡀⢀⡇⣿⣽⠀⠀⠀⠀⡤⠀⠀⠀⢀⢺⣷⢿⣻⢾⣽⣿⡻⡓⠟⢷⣟⣷⣻⢷⣻⣿⡴⠀⠀⠀⠀⡤⠀⠀⠈⣷⡹⡥⠀⠀⠡⢂⠐⠀⢼⣣⢟⡼⢯ ⣶⢫⢷⣹⡀⠀⠐⠡⠐⡈⠡⠀⣸⢷⣫⣟⡆⣆⠀⠀⠁⠀⠀⣠⡼⣟⣯⣿⣻⢯⣟⡾⣷⣄⣨⡼⣟⡾⣯⣟⡷⣾⢽⣣⡄⠀⠀⠀⠀⢀⣤⢗⡯⢳⠀⠈⡐⠠⠀⠀⢸⢧⣛⠾⣽ ⣳⢏⡷⣣⢗⠀⠈⠠⢁⠐⠡⠀⢏⡾⣱⢎⡝⣎⠳⣔⡲⢶⣞⡷⣻⡽⢯⢷⡫⣅⠈⠑⠃⠙⠃⠛⠉⠃⠀⣽⢾⡹⣞⡳⣝⢧⡲⡔⡴⢣⠜⡪⢝⡣⠂⠀⠠⠁⠀⢰⣫⢞⡭⣟⣞ ⣯⢞⡳⣝⢮⣃⡀⠀⠂⠌⡐⠀⠘⣧⠓⡎⢴⣈⠳⣌⢳⢫⢞⡵⡳⢏⡟⣮⢳⢯⡄⠐⢌⡒⠰⢌⠂⢠⡝⢯⠞⣵⣋⠷⣙⢎⡳⢍⢖⡩⢎⡕⠣⡜⠀⠀⠀⠀⣠⡟⢮⣻⡜⣷⢺ ⢳⡏⣷⣭⠛⣧⢱⠀⠀⠐⢠⠁⠀⠊⢳⡜⢡⡎⢱⠊⣧⠋⣮⡕⢫⡝⣮⣵⠋⣶⠙⡆⠀⠘⠀⠀⣴⢫⡜⣭⡞⢱⠊⢳⠉⡎⠑⡎⣬⠀⠁⡎⠁⠀⠀⠀⠀⣶⡝⣾⡏⣷⢹⡎⣿ ⡿⣜⢧⣏⠿⣭⢏⣻⡤⡀⠀⠐⠀⠈⠂⢅⠣⠘⢄⠋⡔⢩⠢⠙⠬⡑⢎⠲⡙⢆⡛⣌⠃⢦⠘⡱⠢⢍⠲⠱⡈⢇⠚⢄⠣⠌⡑⠰⡈⠌⡑⠈⠀⠀⢀⡤⢞⡵⣫⢗⡹⣎⠷⣹⢎ ⠳⣎⠳⣬⢓⢮⡹⢶⣽⣿⣷⡦⣄⣀⠀⠀⠀⠂⠠⠈⠐⠤⢈⡁⠆⡑⡈⠤⠑⢂⡐⢈⠡⢂⠱⠠⠑⣈⠰⢁⡘⠠⠌⠄⠢⠄⠁⠂⠀⠀⢀⣠⣴⡾⣿⣛⣮⢵⡳⣎⠷⢮⡝⡶⣭ ⣷⣼⣳⢶⣫⣶⢯⣻⢞⡷⣞⡿⣿⢿⣿⣷⣶⡄⢄⣀⣀⢀⡀⣀⡁⣀⢁⡈⠒⣀⠒⣈⢂⠐⢂⡑⢂⢀⡀⡁⣈⠁⣄⢠⠠⠤⠤⢰⣚⣿⣿⣻⣟⡿⡳⢏⡞⣧⢻⣜⡻⣧⡻⣵⣳ ⣟⡾⣽⢯⡷⣯⢿⣬⣋⠹⢭⢻⡝⣯⢾⣽⢾⣿⣤⡐⠨⢆⡱⢂⡑⢆⠒⣌⠱⡠⠃⢠⣿⣷⡀⠘⠰⡊⢔⡑⠢⡍⡔⢢⠌⢃⣴⡾⣿⡻⣞⡱⢎⠓⣙⣬⣛⡼⣓⢮⡝⣞⡳⢧⣛ ⣯⢿⡽⣯⢿⣹⣟⣾⣽⣳⢶⣦⣜⣆⡛⢞⣻⢾⣽⡿⣶⣤⣈⠁⠘⠤⢋⢄⠣⠁⢀⣿⡿⣿⣷⡄⠐⠱⣈⢌⡑⠒⢈⣡⡴⣿⣏⡟⠧⢋⡴⣑⢮⡙⣑⢮⡱⡩⣍⢎⡱⢬⡑⢣⡘ ⣉⠞⣩⣑⠫⡜⡌⢧⠛⣌⠳⡬⢜⡬⣙⠎⣜⠳⣎⡿⣿⣽⢿⣿⣶⣤⣀⣈⣐⡈⣼⣿⣟⣿⣿⣿⣀⣀⣁⣠⣴⣾⢿⣯⢿⣱⠎⣝⠨⠖⠐⠈⠲⢔⠋⡶⡑⢳⠤⠋⠘⠦⣜⠣⡝ ⢌⡛⢤⢣⠳⡜⣱⢊⡝⣨⠳⡱⢎⡲⢍⡚⣌⢳⣹⢿⣻⣯⣿⣿⣾⣟⣿⣟⣿⣿⣿⣯⣿⣿⣾⣻⣿⢿⣻⣿⡿⣽⣟⡾⢯⡧⠅⡠⠄⠀⠀⠀⠀⠀⠉⠀⠉⡡⡐⣄⢃⠤⣈⠒⡉ ⢢⡜⡌⢆⠳⣌⡱⣍⢲⢡⠣⠵⣉⢎⢧⡹⢜⡲⢯⣟⡿⣷⡿⣷⣿⣿⣻⡿⣿⣽⣾⣿⢿⣾⡿⣟⣿⣿⣿⣟⣿⣿⣽⣻⣭⢟⡃⣵⢩⠀⠀⠀⠀⠀⠀⠀⠀⢲⡱⡌⠎⠲⡡⠏⠜
🎀🦴: 𝙷𝙴𝙻𝙻𝙾!! >_< 🧁🍼: 𝙼𝚈 𝙽𝙰𝙼𝙴 𝙸𝚂 (𝚗𝚊𝚖𝚎) 🍡🍮: 𝙸 𝙻𝙸𝙺𝙴 (__, ___, ___) 🐾⭐️: 𝙸 𝙳𝙸𝚂𝙻𝙸𝙺𝙴 (___, ___, ___) 💤🍀: 𝙼𝚈 𝙾𝚃𝙷𝙴𝚁 𝚂𝙾𝙲𝙸𝙰𝙻𝚂; (@[𝚞𝚜𝚎𝚛]𝚘𝚗 [𝚜𝚘𝚌𝚒𝚊𝚕], @[𝚞𝚜𝚎𝚛] 𝚘𝚗 [𝚜𝚘𝚌𝚒𝚊𝚕]) 🌀🍓: 𝙴𝚃𝙷𝙽𝙸𝙲𝙸𝚃𝚈; (𝚎𝚝𝚑𝚗𝚒𝚌𝚒𝚝𝚢) 🍫🍰: 𝙸𝙼 𝙸𝙽 𝚃𝙷𝙴 (𝚏𝚊𝚗𝚍𝚘𝚖) 𝙵𝙰𝙽𝙳𝙾𝙼!! 🍥🍦: 𝙸 𝙿𝙾𝚂𝚃 (𝚌𝚘𝚗𝚝𝚎𝚗𝚝 𝚐𝚎𝚗𝚛𝚎) 🫧👾: 𝙼𝚈 𝚂𝙴𝚇𝚄𝙰𝙻𝙸𝚃𝚈/𝚂𝙴𝚇𝚄𝙰𝙻𝙸𝚃𝙸𝙴𝚂 𝙰𝚁𝙴/𝙸𝚂 (𝚜𝚎𝚡𝚞𝚊𝚕𝚒𝚝𝚢) 👁️♡: 𝙼𝚈 𝙿𝚁𝙾𝙽𝙾𝚄𝙽𝚂 𝙰𝚁𝙴 (𝚙𝚛𝚘𝚗𝚘𝚞𝚗/𝚙𝚛𝚘𝚗𝚘𝚞𝚗) 🍨💮: 𝙼𝚈 𝙶𝙴𝙽𝙳𝙴𝚁 𝙸𝚂 (𝚐𝚎𝚗𝚍𝚎𝚛) ~🧁🍼🍮🍡🐾🩸🎀🧸~
💞 .__join__ **mymelos** !!﹐・ᴗ・ ﹐**__new cute sanrio server__**﹕🩷 ﹐🎀 ﹕__pink & my melody layout !__ ﹐♡﹔__fun activites and cool channels !__。👛
💞 .__join__ **mymelos** !!﹐・ᴗ・ ﹐**__new cute sanrio server__**﹕🩷 ﹐🎀 ﹕__pink & my melody layout !__ ﹐♡﹔__fun activites and cool channels !__。👛 https://discord.gg/YVAWvuT4
𓂃 ࣪˖ ִֶָ🐇་༘࿐(∩˃ω˂∩)❀≽^- ˕ -^≼⋆。‧˚ʚ🍓ɞ˚‧。⋆≽^•༚• ྀི≼ʕ̢̣̣̣̣̩̩̩̩·͡˔·ོɁ̡̣̣̣̣̩̩̩̩✧₍⑅ᐢ..ᐢ₎૮₍ ˶ᵔ ᵕ ᵔ˶ ₎ა⋆˚✿˖°•ﻌ•ℒ𝓸𝓿𝒆 𝔂𝓸𝓾૮ • ﻌ - ა૮₍´。ᵔ ꈊ ᵔ。`₎აst☆rgirl໒꒰ྀི。- ˕ -。꒱ྀི১⋆ ˚。⋆୨ ʚɞ ୧⋆ ˚。⋆ଘ( ≧▽≦ )ଓ𖡼𖤣𖥧𖡼𓋼𖤣𖥧𓋼𓍊˚ ༘♡ ⋆。˚ ❀⪩ ⪨
💞 .__join__ **mymelos** !!﹐・ᴗ・ ﹐**__new cute sanrio server__**﹕🩷 ﹐🎀 ﹕__pink & my melody layout !__ ﹐♡﹔__fun activites and cool channels !__。👛 https://discord.gg/Q3bv4yt4
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⢦⠈⠋⠀⠀⠀⠀⢀⣽⣿⣿⣿⣿⣷⣿⠇⠀⣀⣬⠓⣿⣿ ⡭⡄⠀⠀⣶⣄⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⢿⣟⣿⣏⣿⣿ ⠉⠙⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠙⠿⣿⣿ ⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⣿⣿ ⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⣿⣿ ⣿⣿⡿⣿⣾⣿⣿⣿⣿⠿⠿⠛⠛⠛⠿⢿⣿⣿⠀⠀⣿⣿ ⢤⠤⣾⠿⣿⣿⣟⡵⠒⡄⠀⣀⠀⠀⠲⢶⡾⠃⠀⠀⣿⣿ ⢷⣿⣿⣤⢸⣽⣿⡀⢤⣃⣀⠘⣀⣤⣴⣋⠀⠀⠀⠀⣿⣿ ⣾⣿⣿⣿⡿⣿⣯⣽⣏⣟⡻⣯⣿⢙⠁⠀⠀⠀⢀⣾⣿⣿ ⣹⣿⣿⣿⣿⣿⣿⠟⠁⣿⠋⣉⡙⡌⠐⠀⠀⠀⣾⣿⣿⣿ ⣿⣿⣹⣈⣛⣉⣀⣠⣾⣵⣃⣇⣧⣮⣆⣀⣀⣀⣈⣙⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
the posts you add about the bad messages dont make the situation better !! stop spreading the bad messages, stop sending the threats, stop telling people what to do, and just post emoji combos !! ≽^•⩊•^≼ ໒꒰ྀིᵔ ᵕ ᵔ ꒱ྀི১ anyway, scroll past this and carry on looking for your cute emojis that you deserve my loves !! ໒꒰ྀིᵔ ᵕ ᵔ ꒱ྀི১
☁🎀☕🍮✨🌟🌸🍓🍬🥛🍰📎🍥🐸🌼💭🐇🩹🖤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠂⠀⡂⠀⠀⠀⠀⠀⠀⠀⠀⡐⠠⠀⠀⠀⠁⠂⠁⠆⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡀⠄⠅⠐⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀ ⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠠⠠⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡀⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠈⠀⠀⠀⠄⠀⠀⠀⡄⠁⠀⠂⠀⠀⠄⠀⠀⠀⠀⠀⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠂⠁⡀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀ ⠀⠀⠀⠀⠐⠀⠐⠀⠀⡀⠀⠄⠈⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠈⠠⡈⠢⠈⡁⡉⠀⠀⠀⠈⠀⠀⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⠀⠁⠐⠀⠁⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠉⠔⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⡄⠠⠈⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡂⠂⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡄⠀⠠⠀⠀⠈⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢀⠀⠀⠀⠀⠀⠀⠈⠌⠀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢈⠄⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠁⠀⡁⠀⠀⠀⠀⠀⠀⠂⠀⠀⠁⠄⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⢅⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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