Memes
░░▄░░░▄░▄▄▄▄░░░░░░░░░░░░░░░ ░░█▀▄▀█░█▄▄░░░░░░░░░░░░░░░░ ░░█░░░█░█▄▄▄░░░░░░░░░░░░░░░ ░░░░░░░░░░░░░░░░░░░░░░░░░░░ ░▄▄▄░▄░░░▄░░▄▄▄░▄▄▄▄▄░░▄▄▄░ █░░░░█░░░█░█░░░░░░█░░░█░░░█ █░▀█░█░░░█░░▀▀▄░░░█░░░█▀▀▀█ ░▀▀▀░░▀▀▀░░▄▄▄▀░░░▀░░░▀░░░▀
⠀⠀⠀⠀⡶⢉⣠⡄⠀⠈⢳⠀⢀⠀⠀⠀⠀⢰⠇⢠⣤⣤⣀⢠⣳⡀ ⠀⠀⠀⡞⢱⣿⣿⣿⣷⠀⢸⢒⡟⠁⠀⠀⠀⠀⣗⣿⣿⣿⣿⣾⠊⠳ ⠀⠀⠀⣗⠘⢿⣿⣿⠋⢠⡯⠈⠀⠀⠀⠀⠐⠦⡌⠛⢿⣿⣿⡟⣠⠌ ⠀⠀⠀⠈⠓⠆⠀⠒⣪⠿⣤⠔⢆⠀⢠⡶⠀⠨⠉⢦⠀⠉⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⠏⢀⡤⠔⠖⠫⠴⠖⠚⠚⣦⠈⢢⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⠟⣴⢋⣠⠼⠖⠀⣲⠶⠳⠦⣤⡀⠈⠣⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣡⣼⡟⢳⠞⠘⣷⠓⢳⣦⢶⣽⣧⡄⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⠀⣴⠋⠛⠀⠀⠀⠀⠀⠀⠀⠁⠀⠋⠀⠙⣄⠀⠀⠀ ⢳⡄⠀⠀⠀⢀⣾⣡⣤⣰⣷⣾⣷⣾⣿⣶⣿⣷⣾⣦⣠⡤⠄⢦⡀⠀ ⠀⢣⠀⢀⣼⣇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠑⡏⠢⣠⡹⠄ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠉⠁⠉⠻⡿⠋⠁⠉⠉⠁⠠⢁⠀⠀ ⢠⣾⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠁⠄
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣶⠶⠶⣶⣤⣤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⠾⠛⠉⠀⢠⣾⣴⡾⠛⠻⣷⣄⠀⠀⠀⠀⠀ ⠀⠀⢶⣶⣶⣿⣁⠀⠀⠀⠀⢸⣿⠏⢀⣤⣶⣌⠻⣦⡀⠀⠀⠀ ⠀⠀⣴⡟⠁⢉⣙⣿⣦⡀⠀⢸⡏⣴⠟⢡⣶⣿⣧⡹⣷⡀⠀⠀ ⠀⣼⠏⢀⣾⠟⠛⠛⠻⣿⡆⠀⠀⢿⣄⠀⠙⠉⠹⣷⡸⣷⠀⠀ ⢠⣿⠀⢸⡿⢿⠇⠀⠀⣾⠇⠀⣀⣈⠻⢷⣤⣤⣤⡾⠃⢹⣇⠀ ⢸⣿⠀⢸⣧⣀⣀⣠⣾⢋⣴⢿⣿⡛⠻⣶⣤⣉⠁⠀⠀⠀⣿⠀ ⠈⣿⠀⠀⠙⠛⠛⠋⠁⣼⣯⣀⣿⠿⠶⠟⠉⠛⢷⣄⠀⠀⣿⡇ ⠀⣿⠀⠀⠀⠀⠀⠀⠀⣿⡏⠉⠁⠀⠀⢀⣴⢶⣄ ⢻⡇ ⢸⡇ ⠀⢻⣇⠀⠀⠀⠀⠀⢠⡿⢀⣀⢠⣾⠷⣾⣧⡶⠿⠟⠁⠀⣾⡇ ⠀⠈⣿⣧⡀⠀⠀⣠⣿⣷⠟⢻⣿⣷⡾⠛⠉⠀⠀⠀⠀⢀⣿⠀ ⠀⠀⢹⣿⢻⣦⡀⠉⠛⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⣼⠏⠀ ⠀⠀⠀⠛⠀⠈⠻⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡴⠋⠉⡊⢁⠀⠀⢬⠀⠉⠋⠈⠥⠤⢍⡛⠒⠶⣄⡀⠀⠀⠀ ⠀⠀⠀⠀⣾⠥⠀⠀⠊⢭⣾⣿⣷⡤⠀⣠⡀⡅⢠⣶⣮⣄⠉⠢⠙⡆⠀⠀ ⠀⠀⣠⡾⣁⡨⠴⠢⡤⣿⣿⣿⣿⣿⠸⡷⠙⣟⠻⣯⣿⣟⣃⣠⡁⢷⣄⠀ ⠀⡼⡙⣜⡕⠻⣷⣦⡀⢙⠝⠛⡫⢵⠒⣀⡀⠳⡲⢄⣀⢰⣫⣶⡇⡂⠙⡇ ⢸⡅⡇⠈⠀⠀⠹⣿⣿⣷⣷⣾⣄⣀⣬⣩⣷⠶⠧⣶⣾⣿⣿⣿⡷⠁⣇⡇ ⠀⠳⣅⢀⢢⠡⠀⡜⢿⣿⣿⡏⠑⡴⠙⣤⠊⠑⡴⠁⢻⣿⣿⣿⠇⢀⡞⠀ ⠀⠀⠘⢯⠀⡆⠀⠐⡨⡻⣿⣧⣤⣇⣀⣧⣀⣀⣷⣠⣼⣿⣿⣿⠀⢿⠀⠀ ⠀⠀⠀⠈⢧⡐⡄⠀⠐⢌⠪⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢸⠀⠀ ⠀⠀⠀⠀⠀⠙⢾⣆⠠⠀⡁⠘⢌⠻⣿⣿⠻⠹⠁⢃⢹⣿⣿⣿⡇⡘⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠛⠷⢴⣄⠀⢭⡊⠛⠿⠿⠵⠯⡭⠽⣛⠟⢡⠃⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⠬⣥⣀⡀⠀⢀⠀⠀⣠⡲⢄⡼⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠓⠒⠒⠒⠋⠉⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣀⣀⠤⠀⠒⠒⠒⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⢤⡀⣠⣀⣈⣲⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡔⢁⠄⠀⠀⠀⠀⠀⢈⡽⠋⠙⢍⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠋⢀⡼⠤⠤⣀⠀⠀⠀⡎⠀⠰⠽⠈⢣⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⡏⢰⣿⣁⠀⠀⠈⡅⠀⠀⠱⣄⠀⠀⠀⢀⠇⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠃⠈⣭⠛⠁⢀⡔⣱⠊⠙⡭⠛⢯⣍⣭⡁⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠘⢩⠑⠒⠃⢰⢘⠦⠊⠀⠀⠈⠉⠁⠘⣄⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡄⠀⠀⠀⠀⠀⡧⠚⠀⠀⢀⣀⡠⠤⠤⠐⠁⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣷⠀⠀⠀⠀⢀⠃⣠⠔⠊⠁⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⣆⠀⠀⢀⡾⠊⠀⠀⠀⠀⢀⣀⣀⣤⡤⣄⠀⡸⡠⠤⠀⢀⠈⢲⠉⡏⠈⡇ ⠀⠀⠈⠃⠄⡀⠀⢰⠏⢳⠀⠀⡼⠀⡏⢀⡇⢸⣤⡇⠃⠀⡇⡜⢀⡞⣰⠃⠀⡇ ⠀⠀⠀⠀⠀⠈⠀⢸⠀⢸⠤⠴⠃⠼⠁⠞⠀⢸⠋⠀⡆⠀⠉⠁⠀⠈⠀⠁⡠⠔ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⡠⠖⠁⡠⠞⠁⠀⢀⡠⠞⢁⣠⠞⠁⠀ ⠀⠀⠀⠀⠀⠴⠚⠁⠀⠀⠀⠀⣀⡤⠊⠀⠀⠀⠀⠀⠀⠠⠋⠐⠊⠉⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣀⣤⣶⣾⣿⣿⠉⠐⠒⠠⢄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠈⠑⢄⠀⠀⠀⠀⠀ ⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⢡⡆⢾⠐⠄⠀⠤⠀⠑⢄⠀⠀⠀ ⠀⣼⣿⣿⣿⣿⣿⣿⣿⡿⣿⣟⠓⡞⢳⡖⣒⡂⠀⠀⠀⢃⠀⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣬⣿⡞⠀⠣⡹⣼⣛⡂⠀⠀⠀⠈⡆⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣡⣶⣬⡷⡄⠀⠀⠂⠀⠀⠸⠀ ⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣘⣛⣀⡀⢹⡀⠈⠀⠀⠀⠀⡇ ⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣤⣬⣭⠟⠘⠇⠀⠀⠀⢀⠜⠀ ⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠈⠁⠀⡀⠀⠀⠀⡠⠊⠀⠀ ⠀⠀⠀⠈⠙⠻⣿⣿⣿⣿⣿⣿⣦⣀⣀⡠⢇⣠⡔⠊⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⡿⠛⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠸⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣤⠴⠒⢉⡉⠁⠉⠉⠙⢦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠛⠑⢆⠸⣷⡀⠀⠀⠀ ⠀⢰⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠋⠀⡠⢤⣬⣱⡑⣇⠀⠀⠀ ⣀⣾⠀⢀⡔⢋⢁⣉⡑⣦⡀⠀⠀⠸⡀⢘⢳⣾⣿⣿⠳⠘⣆⠀⠀ ⣏⡏⠀⣸⡁⢺⣾⣿⣿⣯⠃⠀⠀⠀⠑⢌⣿⣿⡿⢟⡴⠀⢹⣧⠀ ⣿⠀⠀⠘⡄⠙⠿⠿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⢿⠀ ⣿⠀⠀⠀⠉⠒⠒⠊⠀⠀⠀⢀⣀⠤⢤⡒⠒⣦⡄⠀⠀⠀⠀⠀⢸⠀ ⣿⡄⠀⠀⠀⠀⠀⠀⠀⣔⣊⠿⠞⠒⠉⠙⠊⠈⢹⠀⠀⠀⠀⠀⠨⠂ ⢹⢇⠀⠀⠀⠀⠀⠀⠀⠱⡄⢀⣠⠤⢤⠖⠢⣄⡜⠀⠀⠀⠀⠀⠀⡇ ⠈⣾⡄⠀⠀⠀⠀⠀⠀⠀⠈⢿⡃⡀⠀⠀⢀⣸⠁⠀⠀⠀⠀⢀⡇ ⠀⠘⡧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠫⠶⠾⠟⠉⠀⠀⠀⠀⠀⡾⠁ ⠀⠀⢣⠑⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀ ⠀⠀⠈⠃⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀
░░░░▄▄▄▄▀▀▀▀▀▀▀▀▄▄▄▄▄▄ ░░░░█░░░░▒▒▒▒▒▒▒▒▒▒▒▒░░▀▀▄ ░░░█░░░▒▒▒▒▒▒░░░░░░░░▒▒▒░░█ ░░█░░░░░░▄██▀▄▄░░░░░▄▄▄░░░█ ░▀▒▄▄▄▒░█▀▀▀▀▄▄█░░░██▄▄█░░░█ █▒█▒▄░▀▄▄▄▀░░░░░░░░█░░░▒▒▒▒▒█ █▒█░█▀▄▄░░░░░█▀░░░░▀▄░░▄▀▀▀▄▒█ ░█▀▄░█▄░█▀▄▄░▀░▀▀░▄▄▀░░░░█░░█ ░░█░░▀▄▀█▄▄░█▀▀▀▄▄▄▄▀▀█▀██░█ ░░░█░░██░░▀█▄▄▄█▄▄█▄████░█ ░░░░█░░░▀▀▄░█░░░█░███████░█ ░░░░░▀▄░░░▀▀▄▄▄█▄█▄█▄█▄▀░░█ ░░░░░░░▀▄▄░▒▒▒▒░░░░░░░░░░█ ░░░░░░░░░░▀▀▄▄░▒▒▒▒▒▒▒▒▒▒░█ ░░░░░░░░░░░░░░▀▄▄▄▄▄░░░░░█
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠤⠤⠤⠤⠤⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠄⠊⠁⠀⠀⠀⠀⠀⣀⠀⠀⠀⠉⠢⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⡖⠁⠐⠒⠂⠀⠐⠒⠂⠁⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀ ⠀⠀⠀⣴⣿⠣⠠⠄⠀⠠⠐⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀ ⠀⠀⣼⡏⠉⠉⠂⠀⡀⠀⠁⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠈⠆⠀ ⠀⣼⠟⡐⠀⠀⠀⢴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡎⠀⠀⠀⠀⠀⠀⠀⠘⡀ ⠰⣿⡜⣆⣀⣀⡀⢸⠀⠀⠀⢀⣀⣀⣀⣀⡤⠞⠁⠑⢄⠀⠀⠀⠀⠀⡇ ⠈⣿⣂⢹⡧⣐⣸⡿⡀⢰⣾⣿⡿⢋⣍⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄ ⠀⢻⣿⣄⠙⠻⣿⡇⠁⠻⣋⡻⣗⣌⣩⣾⠔⠉⢈⠀⠀⠀⠀⠀⠀⢀⠃ ⠀⠘⢿⣿⢣⠤⠿⣏⠀⡔⡸⠛⠺⢌⣉⡡⢐⠢⠸⠀⠀⠀⠀⠀⠀⡈⠀ ⠀⠀⠘⣿⣷⣳⣄⢸⡴⢡⠀⠀⠀⢀⣠⠖⠁⣠⣶⠀⠀⠀⠀⠀⡴⠃⠀ ⠀⠀⠀⠈⢻⣷⡜⢿⡛⠛⣛⡶⠎⠉⠁⠀⣰⠟⠁⠀⠀⠀⢀⡜⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢿⣦⢄⠀⠑⡄⠀⠀⠀⢠⠋⠀⠀⠀⢀⠴⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠤⢅⣀⣀⣀⣀⣀⣠⠔⠊⠁⠀⠸⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠉⠉⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣄⡒⠂⢀⣠⣐⣢⢄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡴⣿⡿⠳⣄⠀⠉⢩⣿⣿⣿⢟⣇⠁⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠋⣰⠟⠀⠀⠘⡆⠀⠋⠙⠀⠈⠉⢻⡄⠘⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⢠⠞⢥⠞⣁⣀⡀⠀⠀⠁⠀⠀⠀⣀⠤⢤⣄⡻⢦⡹⣧⠀⠀⠀⠀ ⠀⠀⡖⠛⡀⣠⠊⠀⠘⠻⡄⠀⠀⠀⠀⡜⠀⣀⣀⠉⠙⣆⠀⠘⠁⡠⠀⠀ ⢀⣰⠸⠀⢠⠣⠚⣛⡙⠛⠳⠀⠀⠀⠘⠉⠩⠭⠭⠉⠙⠺⠀⠀⠀⡇⡇⠀ ⢸⡇⠀⠀⠠⣄⣀⣀⣀⡤⠂⠀⠀⠀⠀⠤⢄⣀⣀⣤⡤⠄⠀⠀⣰⠁⣷⠀ ⢸⡇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⠁⠀⠀⠀⣽⠀ ⢸⡇⠀⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⠒⠛⠆⠀⠀⠀⢹⠀ ⢸⣇⠀⠘⠉⠹⣉⠰⠶⡒⠒⡖⠒⢒⠞⠋⠙⢏⡠⠜⠁⠑⠀⠀⠀⢸⠀ ⠈⡜⡀⠀⠀⠀⠈⠀⢠⠋⠒⢑⠊⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⢣⣇⠀⠀⠀⠀⠀⠀⠀⠀⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇ ⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠀ ⠀⠀⠘⡝⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠁⠀ ⠀⠀⠀⠱⠀⠉⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠤⠄⠒⠒⠀⠤⢄⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠊⠀⠀⠀⠀⠂⠀⠀⡀⠱⠐⡍⠒⢄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⠈⢂⢃⢋⠅⠂⠉⢢⡀⠀ ⠀⠀⠀⠀⠀⠀⢀⠆⠀⠀⠀⠀⠀⠀⢀⢴⣆⠑⢵⡤⡼⣅⣀⣄⡀⠀⠱⡀ ⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⣊⣋⡀⠜⠻⠢⡅⣷⠫⣭⡇⠀⢡ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠘⠂⠐⠒⠁⣄⣄⠀⢹⡁⠉⠀⠀⠘ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠿⠬⠉⠑⢳⠀⠀⠀⢀⡇ ⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢬⣶⢦⡟⢶⡁⠀⠀⠀⠸ ⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣮⣞⣻⣻⣆⡅⠀⠀⠀⡆ ⠀⠀⠀⠀⠀⠀⠀⠑⣄⡀⠀⠀⠀⠀⠀⠀⡀⣼⣉⠋⠐⠏⠃⠀⠀⢀⠜⠀ ⠀⠀⠀⠀⠀⢀⠴⠪⡀⠉⠲⢤⣀⠀⡠⠜⠰⠋⠀⠉⠁⠀⣱⠠⠐⠁⠀⠀ ⠀⠀⠀⣀⠔⠁⠀⠀⠈⢦⡀⠀⠀⠉⠉⠓⠒⣲⠒⠒⠒⠉⠀⠀⠀⣄⢠⠀ ⠀⢀⠜⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⢀⠞⠀⣉⠢⡧⣧⢆⢀⡠⠊⠉⠁ ⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⢩⠋⠉⠁⠀⠀⠈⠂⠒⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡠⠔⠉⠀⠀⠀⠀⠀⠈⠉⠒⠦⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣾⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⡿⠉⣹⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡗⣡⣾⣿⠋⡘⠉⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⡀⠑⠄⠀⠀⠀ ⠀⠀⢀⠎⠰⠁⢻⣿⣾⣄⣀⣼⣿⠀⠀⠀⠀⣠⣴⡖⠶⠒⢻⣷⣦⡈⢳⠀⠀ ⠀⢠⡾⠀⡗⡀⠀⠉⠛⠿⢿⡿⠃⠀⠀⠀⢸⠀⢿⣇⣇⢀⣸⣿⠉⠁⢸⡀⠀ ⠀⣣⠃⠀⢘⣈⣴⣶⡀⠒⠈⠀⠀⠀⠀⠀⠈⢆⠈⠛⠿⠿⠿⢻⠀⠀⠈⢷⠀ ⢰⡇⠰⡉⠢⣀⡠⢂⠉⠒⠠⣀⠀⠀⠀⠀⠀⠀⠂⠄⠠⠄⠀⡎⠀⠀⠀⢸⠀ ⢸⠀⠀⢱⠀⠀⠀⠈⠢⠠⠜⡇⠙⠢⡀⠀⠀⠀⠀⠈⠒⡒⢸⠀⠀⠀⠀⢸⡇ ⢸⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠙⠤⠴⢆⠁⢒⠒⠒⠄⠀⠈⠁⠀⠀⠀⠀⣿⠀ ⣸⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠻⠠⠞⢸⠀⠀⠀⠀⠀⠀⢠⠸⠀ ⢻⠀⠀⠀⠀⠰⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠎⠀⠀⠀⠀⠀⢀⢆⠇⠀ ⠈⣇⠀⠀⠈⣆⠏⠁⣇⢠⠀⠀⠀⠀⠀⣀⡀⡰⠁⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀ ⠀⠘⣆⠀⠀⠈⠣⣔⠁⢸⠒⣑⠠⠐⠉⠉⠉⠀⠀⠀⠀⠀⠀⡠⠚⡘⠀⠀⠀
⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠤⠤⠤⠤⠤⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⢳⡀⢠⡿⠀⠀⠀⠀⢀⠄⠊⠁⠀⠀⠀⠀⠀⡀⠀⠀⠀⠉⠢⡀⠀⠀⠀⠀⠀ ⠀⠹⣾⡇⠀⠀⣠⡖⠁⠐⠒⠂⠀⠐⠒⠂⠁⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀ ⠀⢀⡞⠀⠀⣴⣿⠣⠠⠄⠀⠠⠐⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀ ⠀⡼⠀⠀⣼⡏⠉⠉⠂⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠈⠆⠀ ⠘⠃⠀⣼⠟⡐⠀⠀⠀⢴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡎⠀⠀⠀⠀⠀⠀⠸⡀ ⣤⠴⠒⣿⡜⣆⣀⣀⡀⢸⠀⠀⠀⢀⣀⣀⣀⣀⡤⠞⠁⠐⢄⠀⠀⠀⠀⠀⡇ ⣷⠀⠈⣿⣆⠹⡧⣀⣸⡿⡀⢰⣾⣿⡿⢋⣍⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄ ⢻⢠⠆⢻⢻⣄⠙⠻⣿⡇⠁⠻⣛⡻⣷⣌⡩⣾⠔⠉⢈⠀⠀⠀⠀⠀⠀⢀⠁ ⢸⡋⠀⢘⣿⣿⢣⠤⠿⡏⠀⡔⡸⠛⠺⢌⣉⡡⢐⠢⠨⠀⠀⠀⠀⠀⠀⡈⠀ ⠸⡇⢀⡞⠘⣿⣷⣳⣄⢸⡴⢡⠀⠀⠀⢀⣠⠖⠁⣠⣶⠀⠀⠀⠀⠀⡴⠃⠀ ⠀⠷⠋⢀⡀⠈⢻⣷⡜⢿⡛⠚⣛⡲⠈⠉⠁⠀⣰⠟⠁⠀⠀⠀⢀⡜⠀⠀⠀ ⠀⠀⢰⣏⣀⣀⠀⠙⢿⣦⢄⠀⠑⡄⠀⠀⠀⢠⠋⠀⠀⠀⢀⠔⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣧⠀⠀⠈⠙⠒⠤⢅⣀⣀⣀⣀⣀⣠⠔⠊⠁⠀⠸⡄⠀⠀⠀ ⠀⠀⠀⣀⣤⠶⠋⠀⠀⠀⠀⠀⠀⠀⢠⡏⠉⠉⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⠋⠀⢀⡤⣖⡫⠭⠭⠭⠭⣍⣑⣒⣒⣒⣻⠭⢝⠲⣄⡀⠀⠀⠀ ⠀⠀⠀⢀⡾⠁⠠⢖⡽⣪⡑⠬⡭⠭⢙⡄⠀⠀⠀⢐⠒⠒⠒⢤⠀⠀⠹⡄⠀⠀ ⠀⠀⣠⡞⠁⠀⠀⢈⡜⠁⠁⣠⣭⣄⠐⢈⢦⠀⠀⢠⠒⠈⠉⣩⠉⠲⢄⢷⡀⠀ ⠀⡴⡻⢛⣩⠥⣄⡙⢆⢀⠄⠛⠿⠋⠀⠅⡼⠁⠲⣇⠁⠀⠺⣿⠗⠀⢄⡧⡹⡆ ⢸⢱⢀⡏⠀⣰⣄⡉⠀⠉⠒⠛⠓⠚⣚⡉⠀⠀⠀⢯⣐⠠⠴⠤⠄⡒⠛⢸⢰⡇ ⢸⡄⡈⡇⠉⢻⡀⠙⢳⣦⣄⡉⠉⠁⣏⠤⠦⠄⠀⠀⡽⠇⠄⡀⢀⣿⡄⡊⢲⠇ ⠀⠻⣌⠒⠀⠈⣿⣶⣬⣧⣀⠉⠙⡷⠶⠤⢤⣄⣘⣛⣁⣠⣤⠖⡏⢻⡇⢠⡏⠀ ⠀⠀⠘⢧⠀⠀⣿⣿⣿⣿⣿⣿⣶⣧⣤⣀⣸⣇⣀⣸⣀⣀⣼⣤⣿⣾⣷⠘⡇⠀ ⠀⠀⠀⠘⢧⡀⢸⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡇⠀ ⠀⠀⠀⠀⠈⠻⣆⠹⣌⢻⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠈⢳⡈⠻⣀⠀⠈⡟⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡈⠓⢾⣇⡀⠀⢸⡇⠀⢸⠏⠉⡏⢹⣃⣷⠃⢠⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⢤⣌⣉⠙⠛⠓⠒⠚⠓⠚⠋⠉⠉⣀⣠⠏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣷⣦⣠⣶⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⢿⣿⣿⣦⣀⠀⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣽⣿⣿⣿⠿⣫⣵⣾⣿⣿⣿⣿⣷⣦⣝⠻⡿⣫⣎⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣾⣿⣿⠟⡱⠘⠻⠿⢿⣿⣿⣿⣿⣿⣷⡾⣷⡿⣿⣓⣷⡀⠀⠀⠀⠀⠀ ⠀⢠⣿⣿⣿⢫⠊⠀⠀⠀⠀⠀⠈⠉⠉⡉⢛⣿⣿⣮⣾⡌⢿⣿⣿⣦⣀⠀⠀⠀ ⠀⢸⣿⣿⠣⠁⠀⠀⣀⠀⠀⠀⠀⠀⠀⡷⠋⠀⢸⣿⣿⡟⡄⣿⣿⣿⣿⣷⣦⡴ ⠀⠀⣿⡧⠁⣰⠖⠂⠛⢶⣄⠀⠀⠀⢸⠀⠀⠀⠀⠉⠉⠘⡌⣿⣿⣿⣿⣿⡿⠃ ⠀⠀⣿⡇⢹⣷⡆⠀⠀⠀⠑⡇⠀⠀⠀⠳⡀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⡏⠀⠀ ⢠⣾⣿⡇⠸⠉⠁⠀⠀⠀⡔⠁⠀⠀⠀⠀⠈⠑⠒⠒⠒⠊⠀⠘⣿⣿⣿⣷⠀⠀ ⢹⣿⣿⡇⠀⠣⣀⣀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀ ⣾⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡏⠀⠀ ⢻⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢿⣿⠛⠀⠀⠀ ⠈⠻⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⢀⡇⠀⠀⠀⠀⣰⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠈⠉⠛⣷⡄⠀⠀⠀⠀⠀⠉⠛⠓⠛⠋⠀⠀⠀⠀⢰⣿⣿⠿⠖⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠿⠿⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠤⠤⠒⠖⠒⠦⠤⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⢄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀ ⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⡀⠀ ⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀ ⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⢀⡴⠾⠆⠀⠀⠀⠈⠈⠁⠀⠀⠀⠈⡆ ⠀⡾⠀⠀⠀⠀⠀⠐⢛⡿⠿⠟⠻⠿⡿⠛⠀⠀⠀⠛⣿⠿⠛⠛⠻⠂⠀⠀⢸ ⢰⡇⠀⠀⠀⠀⠀⣀⣾⣗⠦⠀⠀⠈⡿⠀⠀⣼⠀⠀⣿⡀⠀⠐⢄⠆⠀⠀⠸ ⢸⠀⠀⠀⠀⠀⠀⠀⢹⣿⣷⣶⣴⢞⠕⠀⠀⣹⡆⠀⠙⣿⣷⣾⡟⠀⠀⠀⢸ ⢸⡀⠀⣀⠤⠀⠄⠀⠀⠙⠟⠋⢁⣤⣼⣅⣶⣾⡿⣶⡶⢏⠉⠉⠀⠐⠢⠀⡇ ⠈⢧⠰⠁⠀⣀⢠⡔⠒⢾⠿⢿⣿⣿⡿⠭⠭⡭⠦⠦⠭⠿⢿⡶⠆⣠⢠⠃ ⠀⠈⢆⠀⠀⢏⡉⠀⠀⠀⠀⠀⠈⠉⠛⢛⡿⠯⠭⠙⠛⠉⠁⠀⠀⡤⠜⡜⠀ ⠀⠀⠀⠳⣄⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠁⠂⠓⡄⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀ ⠀⠀⠀⠀⠈⠳⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⢀⡤⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠑⠢⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠒⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠒⠒⠒⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣶⣶⣶⣿⣿⣿⣷⢶⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠟⠉⠁⠀⠀⠀⠉⣍⣿⡿⠛⠓⠀⠉⠳⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⣀⣀⣀⠀⠹⣦⡀⠀⠀⠀⠀ ⠀⠀⠛⣛⡿⠿⠶⢶⣦⣄⠀⠀⠀⠀⣿⣿⠟⣡⠞⠋⢁⡈⠻⣦⣿⣿⡄⠀⠀⠀ ⠀⢠⣾⠃⠀⠀⢀⣀⣙⣏⠀⠀⠀⠀⣿⡟⣰⠋⠀⠀⠀⠷⣤⡼⢻⣿⣇⠀⠀⠀ ⠀⣼⠃⠀⢠⠞⠉⠀⠀⠉⢻⣦⠀⠀⠉⠁⢣⡀⠀⠀⠀⠀⠀⠀⠀⣧⠹⣦⠀⠀ ⢠⡟⠀⠀⠎⣙⣷⠀⠀⠀⠀⢉⡇⠀⠀⠀⠈⠳⣄⡀⠀⠀⠀⠀⢀⡚ ⠀⢻⣧⠀ ⢸⠇⠀⠀⣿⠉⠁⠀⠀⠀⢠⠞⣠⠞⣍⠉⣩⣉⢻⠿⣓⡒⠒⠒⠋⠀⠈⢿⡇ ⢸⠀⠀⠀⠘⢦⡀⠀⢀⡴⠋⡴⣇⠀⢹⠲⠧⠉⠁⠀⠀⠉⠛⠛⠳⡀⠀⠀⢸⡇ ⣾⠀⠀⠀⠀⠀⠀⠈⠉⠀⢰⣇⡽⠓⠚⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠱⡄⠀⠀⡇ ⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃ ⠀⠀⠀⠀⣀⣀⣠⠞⠉⢳⡀⢀⣀⡀⢱⠀⠀⡇ ⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀ ⠀⠀⢀⡾⠀⠀⢀⣀⡀⡞⠉⡏⠀⠉⣸⠀⠀⣇ ⠘⣿⡄⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠈⣁⣀⢰⡏⠀⢙⡵⠒⠛⠒⠋⠁⠀⠀⣹ ⠀⠘⣧⠀⠀⠀⠀⠀⢀⠎⢀⣠⡀⢠⠞⠀⠘⢛⠱⠒⠁⠀⠀⠀⠀⠀⠀⠀⣰⡿ ⠀⠀⢸⠳⣄⠀⠀⠀⠸⢦⣯⣀⣙⣋⣠⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀ ⠀⠀⠘⢆⠈⠛⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠤⠴⠶⠶⠦⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠔⠊⠉⠀⠀⠀⠀⠀⡀⠀⠀⠀⠉⠢⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣞⠁⠀⠀⠐⠒⠒⠒⡉⠁⠀⠀⠀⠀⠀⠀⠈⠳⡀⠀⠀⠀ ⠀⠀⣠⣿⣻⠒⠂⠀⠠⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀⠀ ⠀⢰⡟⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣠⠂⠀⠀⠀⠈⣆⠀ ⢠⡟⡔⠀⠀⠀⢺⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡗⡅⠀⠀⠀⠀⠀⠸⡄ ⢸⡿⢷⡤⢤⡄⡀⡀⢀⣀⣠⣤⣤⣤⣴⠖⠋⠁⠈⠂⠀⠀⠀⠀⠀⡇ ⢸⣷⡞⣿⣮⣿⡟⡂⢸⣿⣿⡟⢡⡶⢸⢀⡠⢤⠀⠀⠀⠀⠀⠀⢀⠇ ⠘⣿⣷⣌⠉⣻⣧⠀⢉⠷⣽⡻⠶⠒⠿⠋⠀⠘⡀⠀⠀⠀⠀⠀⣸⠀ ⠀⠸⣿⣿⣷⡯⢿⠀⡾⢟⠛⠫⡑⡄⠀⢀⣀⠌⠀⠀⠀⠀⠀⢠⠇⠀ ⠀⠀⠹⣽⣿⡿⡌⠻⡄⠀⠱⠀⢱⠸⢴⠏⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀ ⠀⠀⠀⠈⠙⢷⡜⡄⢡⠀⠀⢢⡀⠆⠸⠀⠀⠀⠀⠀⢀⠜⡅⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠲⢟⡀⠀⠀⠉⠊⠀⠀⠀⣀⠤⠚⠁⠀⣇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠒⠒⠒⠚⠉⠀⠀⠀⠀⠀⠙⠀⠀⠀ ⣿⣧⠀⣿⢀⣾⠛⠛⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣷⠸⣧⣿⢸⣯⠀⠀⣼⠇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠛⠀⠙⠛⠀⠙⠛⠛⠋⠀⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⠤⠤⠤⣬⣭⣭⠭⠴⠦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣔⠍⠂⠉⠀⠀⠀⠀⠀⠀⠀⠉⠣⠀⠀⠀⠈⠙⠲⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⠟⠁⠀⠀⠀⠀⠀⠀⠠⠐⠒⠒⠒⢊⡡⠀⠀⠀⠀⠀⠈⢱⣄⡀⠀⠀⠀ ⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠀⣀⣠⣤⣤⣴⣶⠞⡏⢻⡀⠀⠀ ⢸⠆⠀⠀⠐⠒⣲⣶⢶⣶⣤⣶⣶⣶⡦⠴⠶⠿⢻⠋⠁⠘⠛⠛⠀⡆⠀⢻⣄⠀ ⢸⠀⠀⠀⠀⡜⠁⠀⠸⠿⠿⠁⠀⣸⠀⠈⠲⠇⠈⢳⣤⢤⣤⣤⠞⠁⠀⠈⡟⡄ ⢸⠀⠀⠀⠀⠙⠦⠄⣀⣀⣀⣀⡴⠃⠀⠀⠀⠱⡄⠀⠀⠀⠉⠀⠀⠀⠀⠀⢹⢱ ⡼⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠤⠝⠀⠀⠀⠀⠀⢀⡠⠀⠀⠈⢸ ⡇⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣀⣀⠀⠀⠀⢠⠋⠀⠀⠀⢀⡞ ⣷⠀⠀⠀⠀⠀⠈⠢⡄⠀⠀⠀⠰⠟⠉⠀⠀⠀⠈⠙⠀⠀⠀⠘⠀⠀⠀⠀⢸⡇ ⠻⡆⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠤⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀ ⠀⠙⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⠀⠀⠈⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀ ⠀⠀⠀⠀⠙⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠓⠶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡻⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠒⣒⢶⡦⠤⢤⠤⠤⠶⠶⠒⠛⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⢡⠎⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
─────────▄▄───────────────────▄▄── ──────────▀█───────────────────▀█─ ──────────▄█───────────────────▄█─ ──█████████▀───────────█████████▀─ ───▄██████▄─────────────▄██████▄── ─▄██▀────▀██▄─────────▄██▀────▀██▄ ─██────────██─────────██────────██ ─██───██───██─────────██───██───██ ─██────────██─────────██────────██ ──██▄────▄██───────────██▄────▄██─ ───▀██████▀─────────────▀██████▀── ────────────────────────────────── ────────────────────────────────── ────────────────────────────────── ───────────█████████████────────── ────────────────────────────────── ──────────────────────────────────
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⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬛⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬛⬜⬜ ⬜⬜⬜⬛⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜⬜⬜⬛⬜⬜ ⬜⬜⬛⬜⬜⬜⬜⬜⬛⬜⬛⬛⬜⬜⬛⬜⬜⬜⬛⬛⬛⬜⬜⬛⬛⬜⬜⬜⬛⬛ ⬛⬛⬜⬜⬛⬛⬜⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬛⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬛ ⬛⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬛ ⬛⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬛ ⬜⬛⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬛⬜⬜⬛⬜ ⬜⬛⬛⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬛⬜ ⬜⬜⬜⬛⬜⬜⬜⬜⬛⬜⬜⬛⬜⬜⬛⬜⬜⬛⬜⬜⬛⬜⬜⬛⬜⬛⬛⬜⬛⬜ ⬜⬜⬜⬛⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬛⬜ ⬜⬜⬜⬜⬛⬜⬜⬜⬜⬛⬛⬜⬜⬛⬜⬜⬛⬜⬜⬛⬜⬜⬜⬛⬜⬜⬜⬜⬛⬜ ⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬛⬜ ⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬛⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬛⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬛⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜
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⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣴⡶⠶⣶⣶⡞⠛⠛⠻⠻⠿⣿⠿⠿⠿⠟⠛⠻⣛⡛⠿⣛⠛⠻⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣴⠿⠛⠉⣀⣤⣶⠶⠿⠓⠚⠋⠉⠉⠉⠉⠉⠉⢉⣙⡒⠢⠤⣴⣤⣉⠲⢄⠉⠀⠀⠙⣷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⡿⠋⢠⣶⠗⠋⠙⣫⠶⣦⣤⠀⠀⢘⣉⡙⢲⡉⠲⣏⠟⣵⠟⠉⢛⣿⣝⢏⠛⢆⠑⠀⠀⢠⣈⢿⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⠇⣰⠳⢻⣧⣴⣾⡷⠞⠛⠿⣧⡠⡤⣀⡽⢩⢿⡄⠈⡾⣡⡶⠛⠻⣿⣿⣦⠁⠈⡀⠀⠠⢄⡈⠙⢿⣆⠀⠀⠀⠀⠀ ⠀⣀⣼⡿⣶⣧⣴⣩⣉⣉⠁⣥⣀⣀⣰⠟⢋⣽⠋⠀⢾⡯⠇⢸⣿⡃⠀⠀⠉⠙⠛⢿⣦⡴⢶⠶⠦⠤⣬⣄⠈⢿⣦⣄⠀⠀⠀ ⣼⠟⣹⣼⠡⣿⣬⡙⢷⡤⠠⠤⠬⠭⢥⣤⣤⡿⠀⠀⠀⠀⣤⣄⣙⠻⢭⣭⣤⠤⡠⠒⠀⠉⢀⣤⡶⢲⣿⣯⠻⣆⠹⡿⣷⡀⠀ ⣿⢀⡇⢿⠀⣿⡌⠛⠷⣮⣷⡠⠄⡴⠋⣽⠞⠁⠀⢠⣤⣄⡀⠈⡏⠙⢦⡀⠀⠚⣁⠔⢋⣴⣿⡁⣠⡟⢸⠀⢧⡌⣇⢳⠈⢿⡄ ⣿⠘⣧⠈⢷⣿⣿⢦⣀⡈⠙⠻⠷⣶⣤⣽⣶⣶⣶⣬⣍⠉⣛⣀⠃⢀⣀⣴⣶⣿⠶⠞⣋⣹⠃⣸⠟⢀⠇⠀⢸⣼⠈⢸⡇⢸⡇ ⢻⣗⠉⡆⡆⢿⠇⣾⠁⢳⠞⢷⡾⠻⣦⠀⢉⣩⣭⡉⠙⢛⣻⣟⠛⢛⣯⣍⣁⡴⠶⣾⠉⢹⡾⠋⢀⠎⢀⠄⢸⢻⠀⠸⢀⣾⠇ ⠀⢻⣇⠃⢳⢸⣷⣇⢀⡞⠀⢸⡇⠀⠈⣷⡟⠁⠀⠹⣦⡿⠁⠙⣶⡏⠀⠈⢻⣀⣠⣾⣶⡟⠁⡜⢁⡴⠁⡠⠃⣸⢀⣠⡾⠋⠀ ⠀⠀⣿⡇⢸⢸⣿⣿⣿⣧⣤⣾⡃⠀⠀⣾⡇⠀⠀⠀⢹⡇⠀⠀⣿⣄⠀⢠⣿⣿⣿⣿⠏⠀⡜⠀⡌⠀⢰⠀⠀⣣⡿⠛⠀⠀⠀ ⠀⠀⣿⡇⢸⣼⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣧⣤⣤⣤⣿⣷⣶⣶⣿⣿⣿⣿⣿⣿⢟⡵⢋⡜⠀⢰⠁⠀⡼⠀⢰⣿⠁⠀⠀⠀⠀ ⠀⠀⣿⡇⠘⣿⠛⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⡴⠋⣠⠎⠀⢀⠇⠀⡜⠁⣠⡿⠁⠀⠀⠀⠀⠀ ⠀⠀⣿⠀⠀⣿⣤⡿⠀⣽⠁⢹⡟⢻⡿⠻⣿⠿⣿⣿⣿⣿⣿⢿⣿⡿⢋⡴⠋⢀⠔⢡⠆⣠⠋⢀⠞⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡿⢸⠀⣿⣦⡙⠖⢷⣀⣞⠀⣸⠁⠀⡿⢀⡏⠀⣏⣀⣿⡾⢋⣠⠟⠀⣰⠅⡴⢁⡔⢁⣴⣷⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡇⢸⡄⠻⣝⠿⢦⣄⣁⣈⣛⣙⣶⣞⣹⣾⣷⣾⠿⢟⣩⣴⣛⡡⠔⠋⣠⢊⣀⣬⡾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣇⠀⠹⠦⡄⠑⠲⠤⣭⠽⠟⠛⠛⠋⠉⣉⣥⣀⠀⣀⡤⠞⠁⢀⣤⣾⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠻⣧⡲⢤⣈⡲⠤⠤⠤⠀⠉⠙⠋⠉⠁⠀⠀⣈⣉⣥⣤⣴⠾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠛⠷⣶⣭⣍⣐⣶⣶⣲⣭⣤⣶⠶⠟⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠟⠉⠉⠉⠀⠀⣀⡠⠤⠒⠒⠒⠒⠒⠚⠻⠭⠭⠭⢉⣉⠛⠛⠿⠿⠷⠶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣼⡟⠁⠀⠀⠀⡠⠖⣉⡥⠔⢂⣈⣉⣉⣀⡉⠉⠉⠑⠒⠒⠒⠒⠒⠒⠒⠒⠊⠁⠂⠈⠙⠻⣦⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⠏⠀⠀⠀⠔⢉⠤⣊⠵⠒⠉⠁⠀⠀⠀⠀⠙⢆⠀⠀⠀⠀⠀⠐⡚⠉⠉⠉⠉⠒⢤⡀⠀⠀⠈⢻⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣼⠟⠀⠀⠀⠀⠐⠁⠐⠁⣀⣤⣤⣤⣤⣤⣤⣄⡀⠈⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠱⠀⠀⠀⠘⣷⡀⠀⠀⠀ ⠀⠀⢀⣴⣾⣯⣤⣤⡀⠀⠀⣤⡤⢠⣾⣿⣿⣿⣿⣿⣧⣈⠉⠻⣶⡄⠀⠀⢀⣀⣨⣴⣶⣿⣿⣿⣿⣦⠀⠤⠤⣀⣀⡙⢿⣦⡀⠀ ⠀⣴⠟⡽⠉⢀⣤⠶⠶⡶⣶⣤⣈⠉⠉⠁⢀⣠⡶⠀⠉⠙⠻⢿⠟⠁⠀⠀⠘⠛⣿⡟⠋⠉⠉⠉⠁⠀⠀⠀⣀⣀⠳⢍⠢⡻⣷⡀ ⣸⡏⢰⠁⣰⡟⠁⠀⣰⣧⡈⠉⠛⠛⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧⡀⠀⠀⢰⣦⣴⡾⠛⡝⠛⠓⠀⡆⢣⣿⡇ ⢿⡇⠘⡀⢿⡇⣤⣾⣿⡛⠛⠷⣦⣤⣀⡀⠀⠠⠀⠀⠤⢷⡾⠟⠛⢀⠀⠀⠀⠀⠀⠙⣿⣦⣀⠀⠀⠀⠀⢸⣷⠀⠀⡰⠃⣼⡿⠀ ⠘⣷⡄⢧⡈⠻⠀⠀⢹⣷⣄⠀⠀⢹⣿⠿⠷⣶⣤⣀⡀⠈⢿⡄⠛⠛⠛⠃⠀⣀⢀⣴⠟⠙⠃⠙⠒⠄⣠⣾⣿⣧⠠⠖⢫⡿⠃⠀ ⠀⠈⠻⣦⣍⠀⠀⠀⠀⠹⣿⡟⠷⣾⣿⣦⣀⠀⠈⠉⢹⡿⠷⠶⣶⣤⣤⣤⣀⣹⣟⣁⣀⣤⣤⣴⡶⠿⣿⠙⣿⣿⠀⠀⣿⠁⠀⠀ ⠀⠀⠀⠈⢿⣦⠀⠀⠀⠀⠘⢿⣄⢘⣿⠻⠿⣿⣶⣦⣾⣇⣀⠀⠀⠀⢹⡏⠉⠉⠙⣿⠉⠉⠁⣹⣇⢀⣿⣧⣿⣿⠀⢸⡏⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⣆⠀⠀⠀⠀⠀⠻⣿⣏⠀⠀⠀⠉⢙⣿⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⢸⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣦⡀⠀⠀⠀⠀⠈⠛⢿⣦⣄⢀⣼⠇⠀⠀⠀⠈⢹⡟⠛⠛⠛⢿⣿⠿⠻⣿⠿⢿⣿⢻⣿⣿⠇⠀⠘⣇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠿⣦⣐⠢⣄⡒⠢⢄⡈⠙⠿⣿⣦⣤⣀⣀⠀⣸⡇⠀⠀⠀⣿⠃⠀⣼⡟⣀⣿⣧⣽⣿⠏⠀⠀⠀⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠷⣦⣍⡓⠢⢬⣑⠢⢤⣈⠉⠉⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠁⡠⠀⢀⡀⠀⢿⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠷⣦⣌⡉⠓⠪⠽⢶⣦⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⠴⠚⠁⠀⡰⠁⠀⢸⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠷⣦⣄⡀⠀⠀⠉⠉⠒⠒⠒⠠⠄⠀⠀⠠⠤⠤⠤⠒⠒⠉⠀⠀⠀⣼⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠷⠶⣶⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠳⠶⠶⠶⠶⠶⠶⠶⠿⠛⠉⠀⠀⠀⠀⠀
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─────────────────▄▄▄▄▄▄▄▄▄▄▄ ────────────▄▄▀▀▀░░░░░░░░░░░▀▄▄ ────────▄▄▀▀░░░░░░░▄▄▄▄▄▄▄░░░░░▀▄ ──────▄▀░░░░░░░░░▄▄▄▄▄▄▄▄▄▄▄░░░░░█ ────▄▀░░░░░▄▄▄▄▄▄▄░░░░░░░░░░░▄▄▄▄▄█▄▄ ───▄▀░▐▌░░░░░░░░░░▀▀░░░░░░░▀▀░░░░░░█ ──█░░░▀░░░░░░░▄▀▀▀▄░░░░▄░░░░▄▀▀▀▄░░▐▌ ─█░░░░░░▄▄▄░░▐░░▄░░▌░░░░▀▄░▐░░▄░░▌░░█ ▐▌░░░░▀▀░░░░▄░▀▄▄▄▀░░░░░░░▌░▀▄▄▄▀░░░▐▌ █░░░░░░░░░░░░▀▄▄▄░░░░░░░░▐░░░░░▄▄▄▀░░█ █░░░░▄▀░░░░░░░▄▄░░░░░░▄▀░▐░░░▄▄░░░░░░█ ▐▌░░▀░░░░░░░▄▀░░░▐▀░░░░░░░▀▌░░░▀▄░░░░█ ▐▌░░░▐░░░░░▐▌░░░░░▀█░░░░░░░▌░░░░█░░░░█ ─█░░░░░░░░░░░░░░▄░░▀▀▄▄▄▄▀▀░▀▄░░░░░░░█ ─▐▌░░░░░░░░░░░▄▀░░░░▄▄▄▄▄▄░░░░▌░░░░░░█ ──█░░░░░░░░░░▐░░░░▄▀░░░░░░▀▄░░▌░░░░░▐▌ ──▐▌░░░░░░░░░▐░░░░▀░░░▀▀░░░▀░░░░░░░░█ ───█░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░▐▌ ───▐▌░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░█ ────▀▄░░░░░░░░░░░░░░░░░░░░░░░░░░░▄▀ ──────▀▄░░░░░░░░░░░░░░░░░░░░░░░▄▀ ────────▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣴⠶⣶⣶⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣴⣞⣛⣉⣉⡁⠀⠀⠀⠀⠀⠀⠙⠿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⠋⠉⠁⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡿⠛⢶⣄⠀⢸⣿⣦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠁⠀⠀⠀⠀⠙⣦⡀⢻⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⢸⢀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠁⠀⠀⠀⣠⢤⣤⣤⣌⣹⣄⠻⣿⡀⠀⠀⠀⠀ ⠀⠀⣸⡟⠀⠀⠀⢀⣠⠶⠒⠒⠲⢦⣄⡀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⣾⣧⣠⣿⣿⣿⣿⣽⡆⠘⣧⡀⠀⠀⠀ ⢠⣴⣿⠀⠀⠀⣴⠛⠁⢀⠠⣤⣤⣄⡙⣿⢶⡄⠀⠀⠀⠀⠻⣦⠀⢸⣅⣹⣿⣿⣿⣿⣿⡏⢹⡄⢹⣷⡄⠀⠀ ⢾⢙⡟⠀⠀⢠⡟⠁⢰⣷⣤⣿⣿⣿⣿⡏⢹⠇⠀⠀⠀⠀⠀⠘⢧⡀⢻⣿⣿⣿⣿⣿⡿⠁⣸⠇⠀⢿⣿⡀⠀ ⢸⡾⠁⠀⠀⠸⣷⠀⢠⣼⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠿⢿⣿⣿⣭⡴⠞⠁⠀⠀⠘⣿⣷⠀ ⢸⡇⠀⠀⠀⠀⢹⡀⠈⠛⠿⣿⣿⢿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀ ⢸⡇⠀⠀⠀⠀⠘⢷⣄⣀⣀⣀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀ ⢸⡇⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⢀⣀⣤⡴⠶⠚⣟⣏⠉⠉⣹⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆ ⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠞⣻⣯⣠⣷⣴⠞⠛⠛⠷⠚⠋⠈⢹⡆⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⢸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠶⠶⠋⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠸⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⡀⠀⠀⢀⣠⣤⣤⣤⠶⠒⠶⢤⡄⣸⠃⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⢧⣹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⢞⡿⠃⠀⠀⠙⠀⠀⠀⠈⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇ ⠀⠘⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣁⢀⣀⠀⠀⠀⠀⣀⣀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇ ⠀⠀⠘⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣭⣷⠖⢶⣿⣽⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃ ⠀⠀⠀⢸⡟⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀ ⠀⠀⠀⠘⣧⠘⠳⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠀⠀ ⠀⠀⠀⠀⠹⡆⠀⠀⠉⠓⢶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠔⠂⠀⠀⠀⠀⢀⣤⡾⠟⠛⠉⠉⠉⠁⠀⠀⠀⠀⠩⣉⣩⣿⣛⡶⣦⣄⣀⠈⠓⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⠊⢀⣤⣶⣾⣿⣷⣿⡋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢲⣶⣦⣬⣙⡛⠯⣿⣾⣿⣷⣦⣀⠈⠲⢄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡠⠊⢀⣴⣿⣿⡿⠿⢛⠽⠋⠁⠀⣠⡄⠀⠀⠀⠀⠀⢠⡐⢤⣤⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⡳⣄⠀⠱⣄⠀⠀⠀⠀ ⠀⠀⠐⠁⣠⣿⡿⠋⠀⣠⠞⢁⣴⣟⣣⣾⠿⣿⣦⣠⣄⡛⢶⣄⣈⠳⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⠳⡄⠈⢦⠀⠀⠀ ⠀⠀⠀⣰⣿⣿⡷⢀⣼⣁⣴⣿⣿⣿⣿⡟⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣶⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠹⣆⠀⢣⠀⠀ ⠀⠀⢰⣿⣿⡟⣰⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⣿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣆⠀⠀⠀ ⠀⢀⣿⣿⣿⣼⣿⣿⣿⣿⣿⠟⠁⠀⠀⢀⣀⣠⣤⣀⣀⣀⠀⠀⠉⠉⠈⠁⠀⠀⠀⠀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⡀ ⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠠⠴⠿⠛⠭⠽⢿⣿⣇⣀⠙⢦⠀⠀⠀⠀⠀⢀⣤⣖⣊⣻⡿⠖⠀⠈⠙⢿⣿⣿⣿⣿⣿⡇⠀⡆ ⢰⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⡞⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣿⣿⣿⡇⠀⠇ ⠘⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣄⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⢨⣿⣿⣿⠃⠀⠀ ⠀⣸⣿⣿⣿⣿⣿⣿⣿⠀⠀⢻⣆⠙⠷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⢀⡿⠁⠀⠀⣼⣿⣿⡏⠀⠀⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠈⢿⣷⣦⣄⡉⠛⠳⠦⠤⢤⣀⣀⠀⠀⣀⠀⠀⠘⠀⠀⢀⣀⡤⠖⢻⡇⠀⠀⢰⣿⣿⣿⠁⠀⠀⠀ ⠀⢿⡿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠈⠻⣿⣿⣿⣿⣶⣦⣤⣄⡀⠀⠀⠀⠈⠉⠉⠛⠛⠉⠉⠀⢀⣀⣴⡇⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀ ⠀⠸⡇⢿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠈⠢⣌⠉⠙⠛⠻⠿⠿⣿⣿⣿⣿⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⠇⠀⢠⣿⣿⣿⠇⠀⠀⠀⠀ ⠀⠀⠁⢸⣿⣿⣿⣿⣿⣿⡙⢄⠀⠀⠀⠀⠀⠉⠲⠤⣄⣀⠀⠀⠀⠈⠉⠉⠉⠙⠛⠛⠛⠛⠉⢉⣽⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣇⠀⠑⢄⠀⠀⠀⠀⠀⠀⠠⣉⠉⠛⠒⠒⠦⠤⠄⠀⠀⠀⠀⠐⠂⠉⠀⠀⠀⢸⣿⣿⣿⡄⠀⠀⠀⠀ ⠀⠀⠈⠀⠈⢻⡽⣿⣿⣿⣿⡄⠀⢀⠙⠢⣄⠀⠀⠀⠀⠀⠉⠓⠒⠦⠤⣤⣀⣀⣀⣀⣀⣀⣠⠴⠚⠁⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡇⣿⢿⡇⢿⣿⡀⠘⡗⠤⣀⠉⠒⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠋⣿⡏⢸⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⠈⣇⣿⢸⡇⠸⣿⣧⠀⢳⠀⠀⠉⠒⠠⣄⡈⠉⠒⠢⠤⣀⣀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠞⠁⠀⠛⠀⠀⠻⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⡀⠙⣿⠘⠇⠀⢿⣻⠀⢸⡆⠀⠀⠀⠀⠀⠈⠁⠒⠤⠤⢀⣀⠉⠉⠉⠉⠉⠈⢉⣀⣠⠴⠊⠑⠒⠊⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠱⡀⠘⢀⣠⣄⠈⠋⠃⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠒⠉⠀⠈⠓⠒⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⠤⠤⠴⠶⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠶⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠑⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡾⠋⠀⠀⠀⠀⠀⠀⠀⣤⣄⠀⢠⣄⡀⠀⠀⢹⣦⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠻⣿⡿⠿⢿⡿⠿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⡟⠀⢠⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠈⠳⣄⢺⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡼⠋⠀⠀⣼⣃⣀⣀⡀⠀⠀⠀⠀⠀⠀⢰⠋⠀⠀⢠⣞⣻⠀⠙⣧⠹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣾⠁⠀⣠⣾⠏⠁⠀⠉⠙⠳⣤⡀⠀⠀⠀⢿⡀⠀⠀⠀⠉⠉⠀⠀⠘⣇⢹⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣿⡏⠀⢺⣿⡿⢀⡀⠀⠀⠀⠀⢨⡇⠀⠀⠀⠈⠻⣄⠀⠀⠀⠀⠀⠀⢀⡿⠀⢻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⠃⠀⠿⢳⠇⣯⠿⠀⠀⠀⢠⡟⢀⡤⠖⢻⡛⠲⡾⣷⣶⠤⠤⠤⠶⠛⠁⠈⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⠀⠀⠀⣿⣆⠀⠀⠀⢀⡴⠋⣰⣯⠀⠀⠀⣷⠞⠁⠈⢿⣻⣶⣿⠶⣄⠀⠀⠀⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡇⠀⠀⠛⢡⡉⠑⠒⠒⠋⠀⢠⠇⢸⣧⡤⠞⠁⠀⠀⠀⠀⠉⠉⠁⠀⠙⣆⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣇⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⡼⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠟⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠚⠁⠀⠀⠀⠀⢀⣀⣤⡤⠤⠤⠔⠒⠋⠁⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢹⣧⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⢀⣠⠶⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⣿⡆⠀⠀⠀⠀⠀⠀⠀⡼⢀⡤⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀ ⠀⠀⠘⣿⡀⠀⠀⠀⠀⠀⣼⡧⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣄⡀⠀⠀⣿⠀⣤⣤⡀⠀⠀⠀⠀⢠⠉⠙⣿⡏⠈⣿⠀⠙ ⠀⠀⠀⠈⠳⡄⠀⠀⠀⠘⠋⠀⠀⣠⣤⣤⡀⠀⠀⠀⢰⡟⠙⢿⡟⠉⢻⡁⠉⢷⠀⢀⡟⣸⠃⠀⢸⡄⠀⠀⢀⣿⠀⠀⣾⠁⢠⣿⠀⠀ ⠀⠀⠀⠀⠀⠈⠐⠤⣀⠀⠀⠀⢸⡟⠁⠘⣧⠀⠀⠀⣸⠃⠀⢸⡇⠀⣼⠇⠀⢸⣇⣼⠇⡇⠀⠀⢸⣇⠀⢀⡼⠃⠀⣾⠏⢠⡟⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⢸⠀⠀⠀⣿⠀⢀⣴⡟⠀⣠⡟⠀⣼⠏⠀⠀⢸⡟⠉⠀⣧⠀⠀⠈⠛⠋⠉⠀⠀⠈⠁⠀⠉⠀⠀⢀⣰ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠻⠛⠋⠉⠀⠀⠋⠀⠸⠃⠀⠀⢠⠟⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⣠⠞⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡰⠞⠁⠀⢀⣤⠞⠋⠀⠀⠀⠀⢀⣤⡾⠋⠀⠀⣠⡾⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⢠⡾⠛⢁⣠⣴⠶⠛⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢚⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠋⠉⣿⠉⠉⣿⠀⠐⡏⠉⠉⢻⡏⠉⠉⢿⢰⡏⠉⠉⢹⡀⡏⠉⢉⠉⠙⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⢺⠀⠀⣚⣀⣠⡇⠀⠀⠘⠁⠀⠀⣻⣼⠀⢰⡀⠈⣇⡇⠀⢸⡇⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢿⠀⠀⣻⠀⠀⣿⢉⣽⡇⠀⢧⠀⠀⡇⠀⢼⡿⠀⢸⡇⠀⢿⡇⠀⢸⡇⠀⢸⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣾⠏⠀⢸⡄⠀⢿⠀⠀⣿⣡⠴⡇⠀⣹⠀⢠⡇⠀⢺⡇⠀⢀⡅⠀⢸⡇⠀⠸⠇⠀⢸⡏⠙⠷⣦⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⠃⠀⠀⢈⡷⢤⣀⣠⣼⠧⠖⠚⢧⡤⠼⢧⠼⢧⡤⠽⢤⡤⠼⠧⣤⣬⢧⡤⢤⠤⠤⢾⡁⠀⠀⠈⠙⢿⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⠃⠀⠀⠀⠀⢠⠊⢠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢠⡞⠀⠀⠀⠀⠀⠀⠙⡄⠀⠀⠀⢸⣧⠀⠀⠀⠀ ⠀⠀⠀⣠⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⡿⠿⢶⣦⣄⠀⠀⠀⠀⠀⠀⠨⠀⢀⣀⣠⣤⣤⣀⠀⠀⠀⠀⠀⠈⢿⣆⡀⠀⠀ ⠀⣠⡾⣿⠿⠎⠍⠢⡀⠀⠰⠶⠃⢸⣿⡶⠿⠿⠿⠿⢷⣦⣄⡈⣻⣷⠀⠀⠀⢠⣤⣠⣾⣿⣿⣿⡿⠿⠿⠷⠠⠖⠶⠤⠤⣌⠻⣷⣄⠀ ⣾⢋⡞⠁⣠⡶⠟⠛⢛⠿⣷⣦⣄⣀⡀⣀⣠⣴⡟⠁⠀⠀⠉⠛⠛⠁⠀⠀⠀⠀⠉⢻⡏⠁⠀⠀⠀⠀⠀⠀⢀⣠⣤⣄⡙⢢⡙⣌⢿⡇ ⡏⢸⠀⣰⡟⠀⠀⢀⣿⣄⣀⠈⠉⠉⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⢹⣷⣄⠀⠀⠀⠿⣶⣾⡟⢩⡍⠉⠛⠀⡇⠸⣿⡇ ⡇⢸⡀⢹⣇⢠⠾⢿⣏⠉⠛⠿⣶⣤⣀⡀⠀⠀⠤⠤⠄⠚⣾⠟⠛⣃⣀⡀⠀⠀⠀⠀⠈⢻⣷⣤⡀⠀⠀⠀⠀⢸⣧⠀⠀⡴⠃⣸⣿⠃ ⣷⡄⢧⡀⠻⠀⠀⠈⣿⣦⣀⠀⠀⢹⡿⠻⠿⣶⣤⣄⣀⠀⠻⣷⠘⠛⠛⠛⠃⢀⣀⢀⣴⠿⠉⠃⠈⠑⠂⢀⣤⣿⣿⣧⠀⠞⢋⣿⠃⠀ ⡉⠻⣦⣍⠀⠀⠀⠀⠈⢿⣿⠻⢶⣾⣿⣤⡀⠀⠀⠉⠙⣿⠿⠶⣶⣦⣤⣤⣄⣀⣙⣛⣁⣀⣀⣤⣤⣶⡾⠿⣿⠹⣿⣿⠀⢀⣿⠏⠀⠀ ⠇⠀⠉⢿⣦⠀⠀⠀⠀⠀⠻⣧⡀⢹⣿⠿⢿⣿⣶⣦⣼⣿⠀⠀⠀⠀⠈⢻⡏⠉⠙⠛⣿⡏⠉⠉⠉⣿⡄⢀⣿⣤⣿⣿⠀⢨⣿⠀⠀⠀ ⠀⠀⠀⠀⢻⣇⠀⠀⠀⠀⠀⠘⢿⣾⡏⠀⠀⠈⠉⠛⣿⠿⣿⣿⣷⣶⣶⣿⣷⣶⣶⣶⣿⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⣦⠀⠀⠀⠀⠀⠀⠙⠿⣷⣄⡀⠀⣰⡿⠀⠀⠈⠉⠙⢻⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡇⠀⢈⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠤⣀⡀⠠⣀⡈⠙⠿⢶⣿⣅⣀⠀⠀⠀⠀⣾⡇⠀⠀⠀⣸⡏⠀⢀⣾⠇⢠⣿⢁⣿⣿⠟⠀⠀⠀⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠛⢿⣤⣘⠻⣧⣀⣛⣧⣄⡀⣛⣻⣿⣿⣿⣧⣤⣿⣤⣄⣀⣠⣿⣄⣠⣼⣿⣤⣿⣿⡿⠿⠃⠀⠀⠀⠀⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⠁⠈⣀⠉⠙⣿⡇⠀⢁⡈⠉⣧⣽⠋⢀⡀⠉⢻⣹⠋⠁⣤⠈⠹⡄⠀⠀⣠⠆⠀⢠⡄⠀⢻⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠿⠀⢀⣿⡇⠀⠸⠇⠀⣼⡇⠀⢸⡇⠀⢸⡿⣤⣤⣿⠀⠀⡷⠚⠋⠁⣀⣠⠜⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⣤⠀⠉⣿⡇⠀⢠⡄⠈⣷⡇⠀⢸⡇⠀⢸⣿⠉⠉⠋⠀⢀⡗⠒⠛⠋⠉⠀⠀⠀⢀⣾⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠻⠀⠀⣽⡇⠀⢸⡇⠀⣻⣇⠀⠸⠇⠀⢸⣿⠶⠶⡟⠛⠉⠀⠀⠀⠀⠀⢀⣀⣴⡾⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠦⠶⠴⠦⠒⠋⠷⠤⠞⠳⠤⠟⠈⠳⠤⠤⠶⠋⠙⠦⠤⠟⠻⠷⠶⠶⠾⠿⠛⠛⠋⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⠶⠶⠶⠶⠶⠶⠶⠶⣶⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣠⠾⠿⠿⢿⣿⣿⣿⣟⣻⠿⠶⠶⠿⠖⠒⢀⣿⣿⣿⣷⣶⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⠟⢉⣠⣴⣾⠟⠋⠉⠁⠿⠛⢛⣛⣛⣒⣒⣒⣛⡋⠉⠉⢉⣽⣿⣿⣿⣿⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⡟⢁⣴⣿⡿⠋⣠⡾⠟⠛⠛⠛⠻⢯⡁⠀⠈⠉⠀⠀⠀⣠⡾⠋⠁⠀⣠⣾⣿⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⡟⠐⠉⠉⠁⠀⣰⠏⠀⠀⠀⠀⠀⠀⠈⣿⡀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠈⠛⠋⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣿⠀⠀⠀⠀⢀⣀⣿⠀⣴⣶⣶⡄⠀⠀⠀⣿⡇⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⢀⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡇⠀⠀⠀⡠⠾⠿⣿⣆⠻⠿⠛⠀⠀⠀⢠⡿⠁⠀⠀⠀⠀⠈⠻⢶⣤⣤⣴⡶⠶⢿⣧⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⠃⠀⠀⠀⠀⠀⠜⠉⠈⠛⠶⢶⣦⣶⠾⠋⠁⠀⠀⠀⠀⠀⠀⢀⣠⣾⠋⢀⣠⣤⣀⠈⠛⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠲⠶⠶⠶⠒⠚⢻⣿⠁⣴⣿⣁⣉⠙⢷⡄⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣟⣛⣋⣁⢰⣿⠃⢸⡟⢹⠋⣿⢻⡿⣷⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣈⣉⣉⣉⣉⣁⢸⡟⠀⣼⡟⠛⠛⠛⠛⠛⣿⢀⡿⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⢀⣀⠀⠀⠀⠀ ⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠈⣿⠀⣿⡇⠀⠀⠀⠀⢠⡟⣸⠇⠀⠀⢸⣿⡆⠀⠀⠀⠀⢀⣴⣿⠿⠿⢿⣷⣄⠀⢸⣿⠀⠀⠀⠀ ⠘⣧⠀⠀⠀⠀⠀⢲⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⣿⡇⠀⠀⠀⢀⣿⠁⣿⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⣸⣿⠁⠀⠀⠀⢿⣿⠀⢸⣿⠀⠀⠀⠀ ⠀⢻⡆⠀⠀⠀⠀⠀⠙⣄⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⣿⠇⣿⠁⠀⠀⠀⢸⡇⠘⣿⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⢻⣿⡀⠀⠀⠀⣾⣿⠀⢸⣿⠀⠀⠀⠀ ⠀⠈⣷⡀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠈⠭⠿⣿⣦⣄⠀⠀⠀⢀⣿⢀⣿⠀⠀⠀⠀⢸⡇⠀⢿⡄⠀⠀⢸⣿⣦⣤⣤⣤⡄⠈⢿⣷⣦⣤⣾⣿⠏⠀⢸⣿⣤⣤⣤⣤ ⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠒⠶⣬⣛⠷⡀⠀⣸⡇⢸⡏⠉⠙⠲⣄⠀⣿⡀⢸⡇⠀⠀⠈⠉⠉⠉⠉⠉⠁⠀⠀⠈⠉⠉⠉⠀⠀⠀⠈⠉⠉⠉⠉⠉ ⠀⠀⠀⠹⣧⠀⠀⢰⡀⠀⠘⢧⡀⠀⠀⠠⠤⣤⣀⠙⢷⣄⠀⣿⠀⣸⣃⣀⣀⣀⣈⣷⣿⠇⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠻⣆⠀⠀⠃⠀⠀⠀⠙⢦⡀⠀⠀⠀⠉⠓⢦⡈⢸⡇⠀⢻⡏⣽⣉⡏⣿⢩⡿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣧⡀⠀⠘⠷⣦⣄⠀⠙⠦⡀⠀⠀⠀⠀⠙⢾⣧⠀⠸⣿⣉⠉⠛⣛⣿⠃⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠉⠓⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣄⠀⠈⠙⠛⠛⠛⠁⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣦⣤⣤⣤⣤⡾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣶⣦⣄⡀⠀⠀⠀⠀⠀⣠⣠⣤⣽⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠷⢶⣤⣶⠶⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⠶⠒⠒⠒⠒⠤⠤⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣤⣤⣤⣶⣶⣶⣾⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣿⡟⠛⠛⢻⣿⣿⣏⡉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⢏⡝⠁⢀⣴⣿⣿⣿⢿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⣀⠀⡙⠻⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⡞⢀⣴⣿⣿⣿⠏⠀⡸⠋⠙⢻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣷⠀⠀⠀⠀⠙⢄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⠟⢀⡞⠉⣿⣿⣿⣀⣼⠀⠀⠀⠀⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣧⡀⠀⠀⠀⠀⠳⣴⡀⠀⠀ ⠀⠀⠀⠀⣰⠏⠀⡞⠀⠀⢻⣿⣿⣿⣿⣄⣀⣀⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⠛⢻⡟⠋⠙⣿⣿⣿⣶⣄⠀⢸⡇⠀⠀ ⠀⠀⢀⣼⡟⠀⢰⣅⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⡟⠉⢹⣿⣿⠀⣸⠀⠀⠀⣿⣿⡏⠛⠻⠇⢸⣿⠀⡀ ⠀⢀⠞⣻⠁⠀⠸⡟⢆⠀⠀⠀⠀⠀⠉⠙⠛⣻⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢻⣿⣶⣿⣦⣠⣴⣿⣿⡇⠀⠀⠀⠈⣿⠀⡇ ⠀⡜⣰⠏⠀⠀⠀⠙⠤⠉⣷⣶⣶⠤⠤⠖⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠙⢿⣿⣿⣿⣿⣿⢿⡇⠀⠀⠀⠀⠸⣷⡇ ⠀⣿⡏⠀⣀⣤⡴⠒⠒⠒⠛⢛⠛⠷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡀⠀⠀⠀⠉⠉⠁⠀⢸⠇⠀⠀⠀⠀⠀⣿⡇ ⠀⣿⠁⠀⢻⠀⠘⢦⣀⢀⡴⠛⣆⠀⠀⠉⠓⠢⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡒⠒⠤⠖⠒⠲⡞⠀⠀⠀⠀⠀⠀⣿⡇ ⠀⡏⠀⠀⠈⢧⠀⠀⠈⠉⠀⠀⠻⣆⠀⠀⢀⣰⣟⠙⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠤⣀⡠⡀⡴⠋⠀⠀⠀⠀⠀⠀⣿⣧ ⠀⡇⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠈⠓⠒⠛⠁⢿⡀⠀⠈⠑⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⢁⠇⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⠀⡇⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡀⢀⣼⣆⠈⠙⠒⡖⠒⠶⠦⣤⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇ ⠀⡇⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠘⣆⠀⣠⣇⠀⠀⢀⡈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢰⠃ ⢠⡇⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⢿⣀⡴⠟⠁⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⣸⠀ ⣿⠁⠀⠀⠀⠀⠀⢸⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢁⡏⠀ ⢻⡄⠀⠀⠀⠀⠀⢸⠀⠙⢧⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⡼⠀⠀ ⠈⣿⡀⠀⠀⠀⠀⠸⡆⢚⡟⠉⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡞⠁⠀⠀ ⠀⠸⣧⠀⠀⠀⠀⠀⠻⣿⠀⠀⢀⡾⠒⠙⡇⢀⣀⠀⠀⠀⠀⢀⣤⣴⣖⣤⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⣿⠀⠀⠀⠀ ⠀⠀⠹⣧⠀⠀⠀⠀⠀⠙⠷⣤⡞⠀⠀⠀⡟⠉⠁⢁⡠⠔⠊⠉⠁⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠋⠁⡟⠀⠀⠀⠀ ⠀⠀⠀⠙⠃⠀⠀⠀⠀⠀⠀⠈⠉⠓⠒⠚⠋⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠁⠀⠀⠘⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⠀⠀⠀⠀⢀⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠴⠖⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⠓⠶⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢿⣄⠀⠀⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⢠⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠻⣧⣰⣿⡟⠀⠀⠀⠀⠀⠀⣠⠞⠁⢀⣀⣀⡀⠀⠀⠀⠀⣀⣀⣀⠤⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⢿⣿⠇⠀⠀⠀⠀⣠⣞⡁⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⠟⠀⠀⠀⢀⣼⣿⢿⣄⣀⡀⠀⠀⠀⠀⢀⡠⠖⠂⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣄⠀⠀⠀⠀ ⠀⠀⠀⣰⡟⠀⠀⠀⢠⣿⣿⣿⣦⣍⠀⠈⠁⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀ ⠀⠀⢰⡿⠁⠀⠀⢠⣿⡟⠁⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀ ⠀⠀⣿⠃⠀⠀⢀⣿⣿⠁⡀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⣟⠁⡼⠁⠀⠀⠀⠀⠈⢺⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀ ⠀⠀⢀⣤⡖⣼⣿⣇⢺⣅⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠃⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄ ⢸⡿⠛⠉⠀⣼⣿⠿⠀⣿⣶⡶⠒⠒⠤⣀⠀⡇⠀⠀⠀⢀⣠⣴⣶⣶⣶⣶⣶⣶⣿⠛⠉⠀⠀⠀⠀⠈⠂⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇ ⠈⣿⠀⠀⠀⠸⣿⣷⣀⠘⣿⣧⡀⠐⢀⣾⣿⣍⠉⠉⣿⣿⣿⣿⣿⠟⢉⣉⡉⢻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇ ⠀⣿⠀⠀⣠⡀⣿⣿⣿⠀⠸⣿⣿⣿⣿⣿⡁⢩⡀⣼⣿⣿⣿⣿⣿⡀⠸⠽⠟⢸⡇⢀⣤⠶⠒⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀ ⠀⢿⣆⣴⠟⠀⢻⡏⣿⣦⡀⠀⠉⠛⢻⣿⡄⠀⠀⠉⢻⣀⣋⠛⢿⣗⣂⣤⡴⣿⡷⠋⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⠀⢸⣿⠋⠀⠀⠘⣿⡏⣿⣿⣦⡀⢀⣼⣿⢻⠀⠀⢠⡎⢈⣿⠷⣦⣍⠉⠛⠚⠉⢀⡠⠴⡄⠀⣳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀ ⠀⢸⣿⠀⠀⠀⣠⡾⣧⣿⣿⡜⣏⠉⠁⠈⣿⠀⢀⣿⠴⠛⠁⠀⠀⠈⠙⠶⠶⠶⢋⠔⠀⠁⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀ ⠀⠀⣿⠀⠀⣠⡿⠁⠹⣿⡟⣿⡈⢷⣄⠀⢻⣤⡾⠀⡄⠀⠀⠀⠀⠀⠀⢀⣤⡖⠁⠀⠀⣰⣷⡞⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠁⠀⠀ ⠀⠀⣿⣀⣼⠟⠁⠀⠀⠙⢿⣿⣿⣮⠉⣷⣶⣿⣤⣴⣿⣦⣄⣀⣤⠴⠶⠟⠋⠀⠀⠀⣾⣿⢿⠃⠀⠀⠀⠀⠀⠀⠀⣸⠏⠀⠀⠀⠀ ⠀⠀⠹⠟⠋⠀⢀⣤⠀⠀⠀⠻⣿⣿⣧⠙⠷⣤⡀⠀⠀⣠⣤⠖⠋⠀⠀⠀⠀⠀⠀⣼⡟⠁⠀⠀⠀⠀⠀⠀⠀⢀⣼⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⡟⠁⠀⠀⠀⠀⠙⢿⣾⣷⡀⢈⡇⠀⠀⠱⣄⠀⠀⠀⠀⠀⠀⠀⢰⠏⠀⠀⠀⠀⠀⠀⠀⢀⣴⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠿⠷⠶⠶⠶⣦⡀⠀⠀⠙⠻⠿⣆⣳⡄⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⢀⣠⠔⠋⠈⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠈⠉⠛⢶⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡴⠚⠉⠀⠀⠀⠀⠸⣷⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⢻⡿⠿⠿⠿⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣠⣴⡾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠟⠛⢋⡉⠥⠐⡐⠒⡌⢢⠉⡔⡠⢉⡙⡙⠛⡛⠶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠞⢫⠁⠆⡌⠱⢂⣜⣼⣛⣤⣇⡜⢠⡙⠤⣁⠣⡘⢄⠣⠌⡰⢀⠍⠛⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡴⠟⢋⣐⣩⡶⠿⠶⣾⣥⣦⡐⡀⠦⠰⡠⠜⡤⠘⣰⣿⣿⢿⠿⣷⢾⣶⣬⣈⡒⠤⢉⠻⢦⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡾⢛⠨⡙⠲⠟⡁⠲⢧⣖⣠⡉⠛⠷⣦⣁⠣⠑⡌⠰⣿⡟⢉⢄⣂⣶⣤⣦⣐⡨⣉⠛⡻⣦⠉⢢⠙⢷⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣴⠟⡁⢆⣱⣴⣿⡿⠟⠷⠿⣭⣍⡹⢮⡐⢩⢿⡤⠙⡄⢣⣡⣴⡿⣻⣽⠷⠟⠛⠛⣿⣿⡿⣦⠠⡉⢆⡘⠤⡙⢧⡀⠀⠀⠀ ⠀⠀⢀⡼⢏⠰⡈⣴⠟⠛⣋⣀⣀⣀⣀⣀⣩⣻⣮⣥⠈⢼⣇⠱⢈⣽⣏⣱⣾⣉⣀⣀⣀⣀⡀⠈⠉⠀⠙⣧⡘⠤⡑⢢⠑⡌⢳⡀⠀⠀ ⠀⢀⣾⠑⡌⣦⣽⠿⢞⣛⣍⣩⣍⣬⣭⡽⠷⢛⠛⣽⡇⣬⣽⣶⣯⣡⠘⣏⠻⢯⣭⣉⠍⡙⠛⠻⠷⢦⣤⣽⣷⣲⠑⢢⡑⢌⠢⢿⡄⠀ ⣴⡿⢃⡜⠰⡛⢁⠛⡋⢍⠩⡉⢅⠢⡐⠰⣈⢂⣿⣿⢾⣯⠰⢰⣿⣟⣷⣦⠌⠲⠻⠿⣿⣟⡾⠳⠟⡻⠯⠅⠻⢍⡘⠤⡘⢄⠃⠆⢻⡦ ⣿⠃⠆⡜⠡⢌⠡⢃⣌⣢⣵⠌⣄⣣⣼⠷⠾⠛⠟⡱⢻⡟⢡⠚⡛⠞⡋⠌⡌⢡⢃⠒⠤⣈⠛⠷⠷⣷⣞⠷⢷⣤⣂⠱⢈⠌⡚⡌⡘⣷ ⣿⢈⡱⠌⣥⡶⢿⢛⣩⣭⡶⠟⢋⠍⡄⢊⠔⡉⠦⠑⡄⣾⡄⢣⡔⢡⠘⡰⢈⠆⡌⡘⠔⡠⢊⣔⣶⣾⢙⡿⢶⣭⡛⠻⣶⣌⠰⢄⡑⢿ ⡏⠢⠔⢩⣥⣶⣿⣿⣿⣿⣄⡘⢄⠚⠌⢢⠘⡄⢣⠑⡰⣸⢃⣿⠐⢢⠑⡄⠣⡘⠐⢌⢢⣵⡾⢛⣥⣴⡟⢡⣂⣿⣿⣷⣦⣉⠃⠆⡌⡙ ⢃⡑⢎⣿⠏⣱⣿⣿⣿⡟⠛⣿⣶⣮⣘⣀⠣⠘⡄⠣⣐⡟⠠⡉⠜⡠⠃⣌⣡⣰⣽⡾⣻⣥⢶⠟⠉⠀⣿⣠⣿⣿⣿⣿⢀⠛⢿⡔⢠⠁ ⠂⡌⣾⡏⠰⣸⣿⣿⣿⡇⠀⠉⣿⢿⣟⣿⣿⣷⣦⣵⣤⣄⣣⣼⣤⣷⣿⣿⡿⢋⣵⡶⠿⢷⡿⠀⠀⠀⣾⣿⡿⠟⢻⣿⡂⢩⠐⢻⡆⠡ ⣅⢢⣿⢌⠱⣸⣿⣿⣿⠁⠀⢰⡏⠀⠈⠙⣿⣎⣹⣻⣾⣍⣩⣴⣾⡿⣥⣬⣳⠟⠁⠀⠀⠈⣿⠀⢀⣼⢿⣿⠀⠀⢸⣿⡅⢢⠉⡄⣿⠁ ⣿⡄⡋⣌⠢⢹⣿⣿⣿⣆⠀⢸⡇⠀⠀⠀⢸⡏⠉⠀⠈⠙⣿⠟⠁⠀⠀⢘⣿⠀⠀⠀⠀⢰⡿⠻⢛⠡⢾⣿⡇⠀⢸⣿⡇⠢⡑⠰⣈⣧ ⣿⡅⢣⡘⢄⢻⣿⣿⣿⣿⣶⣾⡇⠀⠀⠀⢸⡇⠀⠀⠀⠀⡿⠀⠀⠀⠀⢸⡇⠀⠀⣠⣴⠟⡡⢃⡍⢒⣿⣿⠟⢛⣿⣿⡇⡑⢌⡱⢀⣿ ⣽⡎⡥⡘⠄⣺⣿⣿⣿⣿⡧⠜⣿⣷⡴⠶⡿⣧⡀⢀⠀⢀⣷⠀⠀⠀⣀⡾⠿⠶⠞⡋⢄⠎⡔⠣⢌⣡⣿⡏⠀⣼⠏⣽⡃⢌⠢⢄⠣⣏ ⠘⢿⡄⣇⠘⡜⢻⣯⢿⣷⠠⢼⣿⠣⡐⣡⠒⢌⠛⡛⠛⣿⡿⠛⡛⢛⠋⡜⠰⡑⣊⠜⢢⠉⡔⢡⢲⣾⣿⣧⡾⠋⢼⡟⡐⠌⡒⠄⣾⠇ ⠀⠈⢿⡌⢒⡌⢂⣿⣞⣿⣧⡾⢿⣄⠱⠠⢍⠢⡑⡌⡑⠾⢃⠱⡈⢆⠣⢌⠣⠰⡁⠎⡄⢣⣸⣾⡿⠟⢉⣽⠇⣹⣿⡷⠈⢆⢱⣾⠃⠀ ⠀⠀⠈⢿⣜⠇⡌⢻⡿⣾⢿⡀⠈⣿⣄⣣⠌⡡⢑⠢⡑⢌⠪⢔⠡⡊⢔⢊⠡⢃⣜⣰⣼⣾⣿⠏⠁⣠⡟⢁⣶⢿⡟⢡⠘⣮⡾⠁⠀⠀ ⠀⠀⠀⠀⠹⣮⡐⡉⢿⣽⣞⠛⠶⣽⣟⠋⠻⣷⠾⢶⣷⣮⣰⣌⣢⣱⣌⣦⣷⢿⣿⠛⠀⠀⣸⣧⠿⠉⣔⣿⣿⡾⠁⢆⣱⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⣤⡃⢿⡽⣧⠘⠤⠙⠷⣦⣧⣀⠀⠈⣿⡏⠉⠍⢹⡏⠀⣀⢀⣹⣦⡴⢟⠩⡐⣬⣵⣿⡿⢋⠔⣡⠞⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⢦⣝⡹⢷⣌⠑⢢⠐⡈⠍⡛⠻⠿⠷⠶⠶⠾⠿⠟⢛⠋⡍⡐⠌⣄⣷⢾⣯⠟⣁⠆⣭⠞⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠷⢮⣜⡻⠶⣧⣜⣠⣁⣣⠐⠢⡑⠌⡒⢠⢉⢢⣜⣤⡵⡾⢋⠴⠻⣅⣲⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⠹⣿⢾⣽⣯⣽⣟⣟⣛⣛⣛⣛⡛⣛⢋⣍⣴⣴⣶⣭⠶⣟⣻⣣⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⠟⠛⠛⢩⠙⡠⠐⡄⣒⠰⢂⡔⣠⡿⣻⠟⣛⣷⣿⣥⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣠⡴⠞⡋⠅⠦⡌⡡⢍⠂⡍⣷⡅⢸⡧⠘⢤⣿⣿⣿⣿⣿⣿⣭⣶⣤⣿⣛⠶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢤⣤⣷⣿⣿⣴⣄⡱⢈⠱⢠⠑⡌⡒⠄⢻⣿⠠⣿⢈⣿⣿⣽⠿⠁⠠⣏⠸⠿⣷⡿⢾⣷⣌⠛⢦⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡾⢏⡉⢩⠭⢛⡻⠿⢿⣶⣧⣬⡐⠡⢾⡦⣿⣷⣩⣿⣿⡟⠁⠂⠀⠀⠛⠶⠷⠟⠁⠀⠈⣹⣎⠤⠙⢷⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⠟⠱⡈⠜⣠⣘⣤⡶⠿⠿⢯⣽⣿⣿⣅⠚⣿⣿⣻⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣆⠩⢠⠙⢧⡀⠀⠀⠀ ⠀⠀⢀⡼⢏⠌⡑⣬⣶⡟⢻⡇⠀⠀⠀⠀⠀⠉⣿⣿⣷⡼⣿⣽⣿⡟⢅⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡄⠣⡘⢌⢻⡄⠀⠀ ⠀⢀⡾⡑⠌⣒⣾⣛⣯⡴⠟⠀⠀⠀⠀⠀⠀⠀⢸⡟⢿⣿⣟⣿⣷⣏⡸⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡘⣷⣁⠒⡌⠢⢿⡄⠀ ⣲⡿⢃⡜⢐⣾⡟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣦⣈⡿⠛⠛⢻⣦⣸⣷⡀⠀⠀⠀⣀⠀⠀⠀⠀⠐⣷⠘⣿⣿⣷⡈⠔⡡⢂⢻⡄ ⣽⠃⠆⡆⣻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢻⣧⣭⣾⠷⢾⣽⣿⣿⡀⣰⠆⠙⣷⡶⠀⠀⣸⣧⣷⢿⡾⢇⠘⠤⡑⠂⡜⣧ ⣿⡁⢎⠰⢻⣿⣸⠀⠀⠀⡀⣤⠀⢤⣤⢦⣄⣰⠂⠀⢀⣿⣿⡃⠀⠀⠀⠙⣿⡌⠙⢳⣶⣶⣿⡶⢶⣾⢛⣯⡷⠛⠤⡈⢜⣰⡬⠑⣀⠻ ⡿⢠⣷⠌⡘⣿⣿⣤⢤⣄⠙⢯⡀⠀⢻⡆⠙⣻⣤⣾⠟⠉⠘⣷⡄⠀⠀⠀⢹⡇⠀⢰⣿⠙⠲⣶⠿⢶⡿⠉⡄⢃⠶⣥⣾⡟⣀⠣⡐⠄ ⠃⡄⢿⣧⠐⡘⢷⡹⢷⡾⠷⣶⢿⣶⣶⣿⣛⣭⣿⣏⠀⠀⠀⢻⣿⣧⣀⠀⣸⣿⣴⢿⣿⡄⠀⣿⢿⣄⣿⠐⠬⡁⣲⣿⢋⠰⣀⠣⢐⠂ ⡇⡈⢆⠹⣷⣬⢈⠛⠿⣿⣛⠿⠛⢩⢉⣙⣿⡿⠀⢸⣷⣤⣄⣸⣿⣿⣿⣿⣿⣿⣿⣾⣿⣷⣼⡇⠀⠙⣿⣿⡔⢰⣿⢏⡇⠒⡄⠣⢌⠂ ⡇⡘⢆⠡⢌⠻⣧⡘⡰⢈⠍⣢⠉⢆⣰⣾⣿⠛⣶⣾⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣯⣽⢿⣿⣿⣦⣀⣾⣧⣿⣹⠟⠢⣐⠩⣐⠡⢂⠅ ⣷⡁⢎⡘⠤⣁⢻⣿⣤⢉⠒⡅⢪⣴⡿⢻⣿⣴⣿⣿⣿⡿⢿⣿⣿⣿⡦⢿⡏⢶⣿⣿⣧⣾⣿⣿⣿⣿⣿⣿⣿⢸⡇⠑⡄⠣⢄⠣⠘⣄ ⣿⡐⢢⠘⡰⢄⠊⠿⣿⣦⠑⠨⣼⣿⢷⣻⣿⣿⣿⣿⣿⠴⠟⡛⠛⠿⣯⣿⡿⠟⡩⠙⠻⣿⣿⣯⣇⣿⣿⣿⣇⢼⣧⠑⡨⠑⡌⢢⢉⣼ ⢾⡑⡆⡱⢐⠊⡜⡐⢸⣿⡌⠡⣿⣿⢸⣿⢿⣋⣽⠿⡄⢊⠴⣁⠏⡰⢀⢿⡔⡈⠖⣉⠆⡙⣿⣿⣹⡿⣿⣿⣿⡈⣿⡠⢁⠣⡘⢄⢂⡏ ⠘⢿⡐⣅⠊⡔⢢⠑⡸⢿⡆⠥⣿⣏⣿⣿⡟⣿⢋⠰⡘⡌⠒⠤⢊⠱⡈⢦⡿⣦⡱⣀⠎⡰⣽⣿⣻⣷⠞⢿⣿⡠⣹⡇⢌⠢⡑⠈⡼⠏ ⠀⠈⢿⡄⢣⡘⢄⠣⡐⢹⣯⣰⡿⣽⡟⢻⣿⡏⢄⠣⡑⢌⣱⣌⣶⠷⠿⣿⠁⢸⣟⡉⣻⡟⠛⢿⣇⢿⡦⢸⣿⣷⠿⢃⠌⢆⠱⡼⠁⠀ ⠀⠀⠈⢻⡔⣧⠈⢆⡑⢂⡙⢻⣷⣹⣷⠿⣿⠿⣶⠛⣷⠟⢻⣟⣁⣤⣶⣾⣿⣯⣍⠙⢻⣷⣦⡼⠿⣾⢿⣾⣿⠇⢂⠥⢊⢆⡾⠁⠀⠀ ⠀⠀⠀⠀⢻⣆⢋⠔⡘⠦⡐⣂⠹⢻⣯⣠⣾⠋⢿⣀⣾⠶⠟⢻⠛⡩⠆⡄⢢⠐⡌⠚⠤⡈⠜⢳⣦⣿⣸⣇⣿⡈⠆⣸⢈⡾⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⢿⣄⡑⢢⠑⡢⠑⣬⣿⠁⢸⣦⠟⡩⠐⡌⡘⢄⣢⣥⣶⣾⣿⣿⠿⠷⣦⣵⡈⢌⠫⠟⣿⡉⣿⣦⢁⡶⠛⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⢶⣅⠶⠿⣷⣿⡶⠟⢡⠘⡄⠣⠴⣛⠿⢋⠍⡰⢀⠆⡄⣃⠒⠤⣉⠛⢢⠑⡌⢌⢛⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠷⢦⣅⡢⠐⡌⢢⠑⡌⡑⢢⠐⡌⠒⡌⠱⣈⠒⡰⢠⢉⠒⠤⢉⠢⣘⣴⠾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢉⠙⡻⠶⢷⣶⣤⣵⡀⢃⠌⣡⢘⠰⡠⢣⣴⣥⣬⡾⠶⠶⠟⣋⢡⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠿⠛⠋⣉⡽⠛⠉⠉⠉⠉⠉⠽⠽⠿⠯⠏⡛⡛⣛⣻⠍⠉⠛⠋⠉⠉⠉⠛⠻⢶⣶⣶⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠁⠀⠀⠋⢁⡠⠀⢀⣀⠀⠀⠀⠠⠖⡛⠉⠉⠉⠉⠉⠀⠀⠀⠛⠛⠒⠶⠶⠶⣦⣀⠀⠀⠀⠉⡛⠿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠏⠀⡀⠀⠀⠀⢉⡴⠞⢫⢟⣦⣶⣶⣶⣦⣝⢦⡀⠀⠀⠀⠀⠀⠀⠐⠦⠀⠀⠀⢀⣀⣈⡙⢦⡈⠓⠿⢦⣀⠙⢿⣷⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⣿⣧⠶⠛⠁⠀⠀⣀⡫⠤⠴⢡⣾⣿⣿⣿⣿⣿⣿⣦⡙⠆⢠⠀⣠⢤⡄⠀⠖⠂⠀⣴⣿⣿⣿⣿⣷⣄⠀⠀⠀⠙⢦⠀⠙⣿⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣿⠋⠀⡠⠖⠒⠂⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢸⣦⣹⠘⢷⣴⣯⣗⣼⣿⣿⡿⠿⣿⣿⣿⣷⣦⡀⠀⠀⢳⠀⣿⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣾⡿⠃⢀⣠⣤⠤⠦⢮⡍⡽⢶⣦⣾⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⡄⢺⢾⣿⠇⠀⠹⣷⣍⠙⢿⣿⣿⣿⣿⣿⢟⣋⣉⣤⣠⣤⣈⠛⠻⣿⣦⣄⠀⠀ ⠀⠀⣠⣾⢿⡟⢁⣴⢟⣽⣿⣷⣶⣤⣀⠀⠚⠁⠀⢭⡛⢿⣿⣿⣿⣿⣿⠟⠉⣀⣈⡀⠉⠀⠀⠀⣿⣇⣀⣀⣈⣭⣭⣀⣀⠀⣠⣴⡿⠋⣡⣿⡆⠀⠈⠙⢿⣷⡀ ⠀⣴⡿⠁⣿⢡⡿⠁⡞⠀⠈⢿⣿⣿⣿⣷⣄⠐⢦⡀⠙⠦⡍⠉⠉⢉⡴⠞⣿⠋⠉⠁⠀⠀⠀⠀⠹⣿⣝⡛⢶⡄⠀⠀⣀⡼⢛⣡⣴⣿⣿⣿⠃⢘⡆⠀⠀⣿⡇ ⢰⣿⠁⢸⠃⡼⢠⢻⠃⠀⠀⠈⢿⣿⣿⣿⣿⣷⣄⣉⡲⢄⡀⠀⠴⠋⠀⠀⡿⠀⣴⣾⠿⠿⠇⠀⠀⠀⣹⡇⠀⠹⣚⣫⣥⣾⣿⣿⣿⣿⣿⣿⢠⣾⠃⢀⠀⣿⡇ ⢸⣷⠀⢸⠀⠀⡼⣸⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣤⣀⣀⣁⣤⣭⣀⣰⣶⣟⣻⣿⣿⣿⣷⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡿⠁⠀⢸⠀⣿⡇ ⠘⣿⣆⠸⡆⠀⣇⢹⠀⠰⡄⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣝⠛⢛⣿⣟⡛⠋⠉⣩⣭⣭⡀⠀⢀⣶⠟⢻⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⠇⢀⠘⣿⡿⠁ ⠀⠘⢿⣦⠀⠀⢸⠈⢷⡀⠙⢦⠀⠀⣆⠈⢿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠻⣇⣾⠋⠉⢿⡄⣼⠟⠀⠈⢻⣦⡿⠃⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⡇⣼⡿⠁⠀ ⠀⠀⠈⠻⣿⣶⠾⠆⠀⠙⠀⠀⠀⠀⠸⣆⠀⠻⣿⣿⣿⣿⣿⣇⠀⠀⠀⣿⡇⠀⠀⠘⣿⠃⠀⠀⠀⠀⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢠⣧⣿⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⣷⡄⠀⠈⡷⠀⠀⠀⠀⠙⡄⠀⡙⢿⣿⣿⣿⣿⣦⣤⣴⣿⡇⠀⠀⢀⣿⡀⠀⠀⠀⠀⣿⣇⠀⣀⣀⣼⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⣷⡀⠀⢻⡀⠀⠀⠀⠀⠘⣆⠙⢦⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠻⣷⣄⠀⠳⡀⠀⠀⠀⠀⠈⢧⡀⠙⢧⡝⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡇⠀⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣦⡀⠹⣄⠀⠀⠀⠀⠀⠙⢆⠀⠙⣦⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣶⣜⣦⡀⠀⢆⠀⠀⠈⠳⠀⠈⠻⣄⠙⢿⣿⣿⣿⣿⣿⡟⠛⣇⠀⢻⡇⠀⢹⡇⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⡸⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣤⡈⠳⡀⠙⣆⠀⠀⠀⠈⠳⣄⡙⢿⣿⣿⣿⣿⠀⢹⡄⢸⣇⠀⠀⣷⣀⣈⣿⣿⣿⣿⣿⣿⣿⣿⠀⢠⠃⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣷⣦⣤⣈⠳⡄⠀⠀⠀⣀⡙⠲⠬⠙⠿⢿⣿⣯⣿⣿⣭⣓⣚⣁⣉⣉⣀⣻⣿⣿⠿⢛⡱⠃⢀⡾⠀⣿⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⣿⣦⣀⠀⠀⠹⢦⣄⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠛⠛⢟⣛⣉⣩⡤⠴⠋⠁⢀⡼⠁⠀⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣶⣄⡀⠈⠙⠓⠒⠛⠀⠀⠀⠀⠀⠑⠒⠒⠀⠀⠀⠀⠀⢀⣠⠆⠁⣀⢀⣼⡿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠿⠿⣶⣶⣤⣄⣀⡀⠀⠀⣄⣀⣀⣀⣀⣀⣪⡯⠴⠚⣋⣵⣿⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠿⠿⣷⣶⣦⣤⣤⣤⣤⣴⣶⡿⠿⠛⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡤⠴⠖⠒⠒⠒⠉⠉⠉⠛⠲⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣴⠶⠿⠥⠤⠤⠤⢀⣀⣀⣠⣾⣿⣷⣶⡶⣬⡙⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⣹⢟⣿⠿⠿⣦⣄⠀⠀⠀⠀⠀⣸⣿⣯⣿⣟⣿⣿⡌⢿⡄⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠁⣼⡷⣿⠁⠀⠀⠘⣿⡄⠀⠀⠀⢰⡿⣿⡽⠋⠙⠳⢌⣿⣬⣷⠀⠀⠺⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⣸⣿⠽⠃⠀⠀⠀⠀⠸⣷⡀⠀⠀⠟⠀⠿⠀⠀⠀⠀⠀⠀⠘⣿⣧⡀⠀⠘⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣾⡟⠁⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣷⣄⠀⢫⠻⣦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⡿⠋⢰⣶⡟⠁⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⠾⠿⣶⣦⣄⠻⣿⣧⡈⢳⡘⡇⠀⡀⠀⠀⠀⠀ ⠀⠀⠀⢀⡼⢿⡄⠀⠀⢉⣤⠞⠋⠉⠙⢿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠉⠀⠀⠀⠀⠻⠿⠛⣷⡄⠀⠀⠀⠹⡷⠋⠉⢳⠀⠀⠀ ⠀⠀⢠⠋⠀⠀⡇⠀⢀⡞⠁⠀⠀⠀⠀⠈⠉⢿⡀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⣀⣀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠁⠀⢇⠀⣇⠀⠀ ⠀⢠⡇⢀⡇⠀⠀⠀⡞⣀⡤⠶⠖⠒⠲⠶⠶⣬⣧⠀⠀⠀⠀⠀⠀⢀⡿⠖⠋⠉⠉⠉⠉⠉⠉⠛⠲⠶⣾⣇⠀⠀⠀⠀⠀⢸⠀⢿⠀⠀ ⠀⣼⠀⣸⠁⠀⠀⣸⠟⠁⠀⠠⠤⠒⠒⠀⠀⠀⠸⠂⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠈⠉⠉⠉⠒⠤⠀⠀⠀⠙⠆⠀⠀⠀⠀⢸⠀⢸⡀⠀ ⢠⡟⠀⡏⠀⠀⠸⣅⡀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠦⣀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢀⣀⠄⠀⠀⠀⠀⠀⡼⠀⢸⡇⠀ ⣾⡇⠀⡇⠀⠀⠀⠈⠛⠿⠷⣶⣶⠾⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠿⠿⠿⠿⠿⠛⠛⠉⠀⠀⠀⠀⠀⢀⡼⠁⠀⡈⣇⠀ ⡿⡇⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⢻⣿⠀ ⡇⡇⠀⠘⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡞⠃⠀⠀⠀⠀⢸⣿⠀ ⣧⡇⠀⠀⠸⠷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡴⠞⠛⠛⠓⠤⡀⠀⠀⠀⠀⣿⠀ ⣿⡇⠀⠀⠀⣀⣤⠿⠶⣦⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣤⣤⠶⠖⠛⠋⣹⠏⠻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀ ⣿⣇⠀⠀⠀⠉⠀⠀⠀⢸⣄⠀⢀⠿⠛⢻⠉⠛⠛⢻⠛⠛⠛⠛⣹⠟⠋⠉⠉⠙⠳⢤⣀⣠⠜⠋⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⢷⢸⡄⠀⠀⠀⠀⠀⠀⠀⢈⡿⠁⠀⠀⠈⡷⢤⣴⠿⢦⣤⡴⠺⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⢸⡀⣧⠀⠀⠀⠀⠀⠀⠀⠊⠀⠀⠀⢀⡞⠀⠀⠁⠀⢠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠈⣇⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠸⣄⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠃ ⠀⠀⠀⠙⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠏⠀ ⠀⠀⠀⠀⣇⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀ ⠀⠀⠀⠀⢻⡀⠘⠳⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⢳⡀⠀⠀⠈⠛⠲⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⣠⣾⡅⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣤⣤⠾⠛⠛⠛⠋⠉⠙⠓⠶⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⠀⠀⠀⠀⠀ ⠀⢠⡾⠁⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀ ⢰⠏⠀⠀⠀⠀⠀⠀⠶⠤⣄⣈⣙⠒⠢⠤⠄⠒⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀ ⣿⠀⠀⠀⠀⠀⣀⣰⣄⣀⣀⠈⠉⠀⠉⣉⠉⠁⠒⠊⠉⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣇⠀⠀ ⡿⠀⠀⠀⠀⠀⠀⠉⠉⠉⢛⡛⠀⠀⢀⡀⠈⠉⠒⠂⠐⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀ ⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠑⠀⠀⠘⠧⣄⠀⠀⠀⠀⠀⠀⠀⢠⡀⡆⠀⠀⠀⠀⠀⠀⠘⣧⠀ ⣧⠀⢰⠀⠀⢀⣠⣤⣴⡿⠏⠀⠀⠀⠀⠀⢺⣿⣶⣤⣄⣀⠀⢀⣠⡿⠃⠀⠀⠀⠀⠀⠀⠀⢻⡄ ⣿⠀⠘⠆⢰⡟⠋⢉⠽⢦⡀⠀⠀⠀⠀⠀⠘⣧⣤⣾⣏⡹⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇ ⣿⠀⠀⠀⠈⠻⣾⣿⣶⣾⡇⠀⠀⠀⠀⠀⠀⢾⣿⣿⣯⢷⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⢿⠀⠀⠀⣧⠀⠉⢙⡿⣿⠇⠀⠀⢶⠄⠀⠀⣜⣿⣯⡁⠈⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⢸⡀⠀⠀⢯⠳⣄⠀⠀⠁⠀⠀⠀⠾⠀⠀⢀⠀⠙⠇⠀⠀⢀⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿ ⠈⢷⡀⠀⠈⠳⡝⢷⣤⠀⠀⠀⢠⡶⠃⠀⠈⣆⠀⠀⠐⠚⣉⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠈⢷⡀⠀⠀⠈⡆⠀⠀⠀⣴⣯⣣⡀⠀⢴⣿⣷⡄⠀⡄⠈⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃ ⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⣰⡗⠀⠉⠉⠀⠀⠀⠙⠃⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀ ⠀⠀⠀⢻⡄⠀⠀⠀⠀⣠⡿⠃⠀⠀⠀⠀⢀⣆⠀⠀⠀⠀⠈⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀ ⠀⠀⠀⠈⣷⡀⠀⠀⠀⡽⡇⠀⠀⣀⣴⣶⣧⣽⣿⣷⢤⣄⢰⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀ ⠀⠀⠀⠀⠸⣇⠀⠀⠰⢧⡗⣿⠉⠀⠢⣈⠈⠉⡀⠜⠋⠀⠀⠿⢿⡇⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀ ⠀⠀⠀⠀⠀⢻⡆⠀⠀⠘⠇⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠻⢦⣄⠀⠀⠀⣄⡀⠀⣀⡀⠀⠀⠀⠀⣰⣀⣴⠃⠀⠀⠀⠀⢠⡾⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠝⢧⡀⠀⠑⢌⠑⠈⠛⠒⠒⠒⠚⠉⢠⠋⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⡀⠀⠙⠒⠤⠀⣀⣀⡠⠔⠁⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠈⠙⠳⢦⣤⣀⡀⠀⠀⠀⣀⣠⡴⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣉⣙⣿⣯⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠚⠓⠚⠛⠛⠛⠛⠛⠛⠛⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠾⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠈⠙⠲⠤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⡟⠁⠀⠠⠤⠤⣀⣀⣀⣤⣤⣤⡤⠔⠂⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣾⣿⠿⠦⠤⠤⠀⠀⠀⢠⠔⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡀⠀⠀⠀ ⠀⠀⠀⠀⣼⣿⠿⠿⠶⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡀⠀⠀ ⠀⠀⠀⢰⣿⠇⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢀⡴⠂⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀ ⠀⠀⢠⣿⡟⢠⠆⠀⠀⠀⠀⢠⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢠⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀ ⠀⠀⣿⣏⣰⠋⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠈⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀ ⠀⢰⣿⣿⢸⣧⣤⣀⣀⣀⠀⠀⢸⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣤⣤⣴⡾⠟⠋⠀⠀⠙⠄⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⢸⣿⣇⠀⢻⣿⡇⢰⣿⣽⣷⣾⠓⠔⢶⣶⣿⣿⣿⣿⡿⠟⠛⠻⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠸⣿⣿⡾⠙⣿⣿⣶⣿⣿⣿⠋⡁⠀⣸⣿⣿⣿⣿⠏⠀⣼⣿⠆⣿⠀⣀⣤⠤⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃ ⠀⠀⣿⣿⣿⣄⡈⠛⠻⢿⣿⣿⠀⠈⠘⢻⣏⣙⠻⣿⣷⣤⣌⠡⣴⣿⡿⠋⠁⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀ ⠀⠀⠘⣿⡿⣿⣿⣆⠀⢠⣿⣿⡇⠀⠀⣠⡍⢻⣿⣦⣏⠙⠓⠒⠚⠋⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣶⣿⣉⣻⡇⠀⢠⣿⡿⠟⠛⠺⣯⠙⢦⡀⠀⠀⠀⠀⠀⢠⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀ ⠀⠀⠀⠀⠻⣿⡿⣿⣿⣿⡏⠹⣷⣤⡟⠀⠀⠲⣄⠀⠈⢷⡀⢳⡀⢀⣴⡶⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⠁⠀⠀ ⠀⠀⠀⠀⠀⠙⣷⣿⣿⣿⠻⣆⠈⠙⣧⠀⠀⠀⠙⠀⠀⠘⡇⠘⠳⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣆⠙⣦⠀⠘⡆⠀⠀⠀⢣⡀⠀⠹⠀⠀⡽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣧⡈⠇⠀⡿⠀⠀⠀⠈⢿⣦⣀⠃⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠋⢸⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢦⣾⠗⠀⠀⠀⠀⠀⠁⠉⠛⠀⠀⠀⠀⠀⠀⠀⣠⡤⠞⠋⠀⠀⠈⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠲⠦⣤⣄⣠⣀⣀⣀⣀⣀⣤⠴⠞⠛⠁⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀ ⢰⣿⣿⣆⠀⠀⣿⡇⠀⣠⣶⣿⠿⢿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⠟⣿⣧⠀⣿⡇⢠⣿⡟⠀⠀⠀⢹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⡆⠸⣿⣦⣿⡇⠸⣿⡇⠀⠀⠀⢠⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⡇⠀⠹⣿⣿⡇⠀⠻⣿⣦⣤⣴⣿⠟⠀⢰⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⠀⠀⠀⠀⢉⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⢀⣉⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠙⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⣿⣿⣿⡿⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠈⢹⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⢹⣿⠀⠀⢀⠤⡄⢀⡴⠾⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⢿⡁⠀⠀⠀⠀⠀⠀ ⠀⠀⣻⡇⠠⠊⢁⣠⠏⠅⢠⣶⣿⣿⣿⣶⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⠏⡰⠋⠉⠙⣷⡀⠀⠀⠀⠀⠀ ⠀⠀⠸⣇⣀⣾⣿⡿⢧⣤⠈⠉⠉⠙⠻⢿⠿⠿⠿⢿⣿⡶⢤⡀⠀⠀⠀⠀⢸⣿⣿⣿⠟⠁⠘⠀⠀⠀⠀⠹⡇⠀⠀⠀⠀⠀ ⠀⠀⢀⣾⣿⣿⠋⠀⠘⠛⠀⠀⠀⠀⠀⣠⣤⣀⣀⢀⣨⣗⣩⠄⠀⠀⠀⠀⠸⢿⣿⠏⠀⠀⢠⡏⠒⠀⢺⣦⡇⠀⠀⠀⠀⠀ ⠀⠀⣾⣿⡿⠋⠉⠑⠢⣼⡄⠀⣇⠀⢺⠟⠛⠉⢉⡉⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡀⠀⠀⣸⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⡟⠀⣠⡾⠿⠿⢿⡇⠀⠀⠀⠈⠓⠒⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡠⠞⠋⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⣟⣯⣀⠤⢖⡿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⢀⠎⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡻⠋⠀⢠⠊⢸⠁⠀⠀⠀⢀⣤⡀⠢⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⣴⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⠃⠀⢠⠃⢠⠃⠀⠀⠀⠀⠀⠀⣸⠀⠀⠑⢦⡀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢀⣿⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⠀⠀⣼⠀⢻⣷⡄⠀⠾⠉⠉⠉⠁⠀⠀⠀⠀⠙⣄⢀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢆⠀⢹⠋⠀⠀⠀⢀⣀⢤⡤⢒⣶⣶⣶⣶⣤⣄⢸⣼⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠃⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢆⠘⡄⠀⣴⣾⣥⣴⠾⠻⡟⣋⣹⣹⣭⣧⣿⡏⣿⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠇⢹⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢦⠘⢦⣻⡿⣧⣈⣤⣴⣶⣿⣿⢿⣿⡿⣿⠁⢡⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠱⣄⠙⣗⡝⠿⣿⣛⣹⠥⠜⠋⢁⡴⠁⠀⢸⢶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⡘⠏⠢⠤⠤⠤⠔⠒⠊⠁⠀⠀⢠⢏⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣼⡄⠀⠀⠀⠀⠀⠀⠀⠀⠰⢣⡜⠀⠀⠀⠀⠀⠀⠀⠀⡴⠁⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠸⠁⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡗⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢦⢄⣀⣀⡠⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠈⠦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠋⢆⠈⠣⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠈⠑⠄⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠘⣄⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⣿⣿⣿⣶⣦⣄⡀⠀⢀⣀⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⢋⣉⣉⣉⣉⣉⣉⡛⠛⠿⢿⣿⣿⣿⣿⣿⣷⣄⡀⠀⡠⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⣻⣿⣿⣿⣿⣿⣿⣿⣿⠿⢋⣡⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣌⠙⠻⣿⣿⣿⣿⡿⢊⣴⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⡿⠋⣡⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡈⠛⣛⢋⣴⣿⣿⡆⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⡿⠋⡠⠊⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡲⣬⣭⣼⣿⣿⠿⠿⣿⡇⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⠋⣠⠞⠁⠀⠀⠀⠀⠀⠈⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣌⢻⣿⡟⡍⠺⣿⣶⣶⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⡿⢁⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠹⠿⣿⣿⣿⣿⣷⡙⢰⣿⣄⠙⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣿⣿⣿⣿⣿⣿⡟⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⠀⢀⡴⠛⠛⢿⣿⣿⣿⣿⣿⣿⣆⠘⢿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⡏⣠⠏⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠋⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⠛⡆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⡟ ⠀⠀⠀⢻⣿⣿⣿⡟⣰⠋⢠⡆⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠁⠀⠀⠀⠀⠀⠻⣿⣿⣿⡇⠻⣇⠸⡄⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃ ⠀⠀⠀⢸⣿⣿⣿⣰⠃⠀⠀⣻⡶⠞⠛⠉⠙⠻⢷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣆⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀ ⠀⠀⠀⢸⣿⣿⣿⠁⣤⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠙⢿⠟⣄⠀⠀⠀⠀⠀⠀⠹⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⠀⠀⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠈⠓⢸⡇⠀⠀⠀⠀⠀⠀⠙⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⢻⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⢀⣼⣿⣿⣿⠀⠀⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢶⣄⣀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀ ⠀⣰⣿⣿⣿⣿⣿⠀⠀⢹⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠛⠛⠛⠋⠁⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀ ⠀⣸⣿⣿⣿⣿⣿⠀⠀⠀⠙⢦⣀⣀⠀⠀⣀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⢰⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠉⠉⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀ ⢿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀ ⠸⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡿⠙⠃⠀⠀⠀⠀⠀⠀ ⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠛⠿⠿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣶⣶⣤⣤⣴⣶⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣧⣀⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⠿⠛⠋⠉⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠿⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣶⣿⣿⣿⡟⠒⠒⠶⠦⢤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠈⠙⠓⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⢀⣤⠀⢠⣾⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⣾⣿⠀⠸⣿⡄⠈⠓⠶⠖⠒⠒⠒⠀⠀⠀⠈⠻⣦⠀⠀⠀⠀⠀ ⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣼⣿⣿⣶⣶⣶⣶⣶⡶⠄⠀⠀⠀⠀⠀⠘⢧⠀⠀⠀⠀ ⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢛⣿⣿⣿⡇⠀⠀⡟⠉⢸⣿⡿⢦⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣘⣿⣿⣃⡽⠀⠀⢻⡄⢸⣯⣀⣻⣿⣿⣸⠇⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠻⣌⡛⠿⣿⣭⣤⡤⠖⠀⠀⡄⠀⠀⠀⠀⠀⢹⡀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠀⣤⣀⡀⠉⣿⣦⡀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠈⣧⠀ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣶⠟⠘⣷⡀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⢸⡄ ⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠉⢼⣋⣿⠀⠀⠀⠀⢹⣧⠀⠀⠀⠾⠁⠀⠀⠀⠀⠀⠀⠀⡇ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠦⠤⠤⠤⠤⠶⠶⢦⡀⠈⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇ ⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠖⠒⠒⠒⠒⠒⠲⣿⡇⠀⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁ ⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⡿⠟⠁⠀⠘⠋⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠁⠀ ⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀ ⠀⠀⠀⠀⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⢲⡄⠀⠀⠀⠀⠀⢀⣴⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⢀⣼⡇⠀⠀⠀⣠⡴⠛⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣤⣶⠿⠋⣀⣤⣶⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⣉⣉⣉⣥⣴⣶⣿⣿⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠁⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⠶⠶⠶⠦⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣴⣖⣛⣫⣭⣤⣤⠤⠀⠀⠀⠈⠉⠉⠉⠛⣶⣤⡀⣀⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣶⣹⣿⣿⣟⠛⠉⠉⠉⢉⣠⠴⠂⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠿⢾⣏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⠶⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⡤⠔⠀⠀⠀⣴⣶⣿⠟⠁⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠒⢻⣟⣧⠴⠂⠀⠀⣸⣿⣿⠋⠀⠀⠀⠀⠈⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣴⣿⠁⠀⠀⢀⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣼⣦⡀⠀⠀⠀⢀⡄⣸⣶⣿⡧⣿⡿⠛⠛⢲⣦⣄⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⣿⢁⡟⠀⠀⠀⠉⠉⠉⠉⠉⢙⣛⣻⣛⣛⠛⠛⢿⣿⣦⡀⠀⢸⡇⣿⣿⣿⠀⣟⠁⠀⠀⢸⡇⠉⢳⣦⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⠇⠀⠀⠀⠀⠀⠀⢀⡴⠋⠉⠉⠉⠛⠿⣶⣤⡙⢿⣿⣷⢌⣷⠟⠹⣿⠀⢻⣆⠀⠀⠘⠷⠶⠚⢻⡆⢻⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⣸⣿⣿⠀⠀⠀⠀⠀⠀⣰⡟⠳⢤⣀⠀⠀⠀⠀⠈⠙⠻⣧⠉⠻⢼⡏⠳⡈⠁⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⣿⠘⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⣹⣿⡏⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠈⠣⠀⠙⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⣿⠀⣿⣿⡄⠀⠀⠀⠀⠀ ⢰⣿⣿⡇⠀⠀⠀⠀⠀⢹⡏⠳⠶⠞⠁⠀⠀⠀⠀⠀⠀⠀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⢠⡿⠀⠸⣿⣷⡀⠀⠀⠀⠀ ⢸⣿⣿⡇⠀⠀⠀⠀⠀⠈⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠧⣄⣀⣠⠴⠛⠁⠀⠀⠸⣿⣧⠀⠀⠀⠀ ⠸⣿⡇⠀⠀⠀⠀⠀⣀⠀⠀⠙⠶⣄⡀⠀⠀⠀⠀⣀⡴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⠒⠁⠀⢀⡟⣻⠀⠀⠀⠀ ⠀⣿⣇⠀⠀⠀⠀⠀⠈⠙⠻⢦⣄⡈⠉⠓⠒⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⡿⠟⠀⠀⠀⠀ ⠀⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠤⣤⣤⣤⣤⣴⠶⠾⠛⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⢹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣤⣴⡾⠿⣿⠦⠒⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣶⣿⣿⠿⠿⠿⢿⣿⡛⠋⠉⢳⣦⡀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢹⣿⠀⠀⠀⠒⠂⢀⣴⣶⣿⣿⣟⡋⠁⣾⠉⠛⠦⣤⣘⡏⠛⠶⢤⣼⡏⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠾⣿⣶⣶⠶⠟⠛⠋⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠈⠙⠧⠀⠀⠀⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣀⠀⠀⠀⠀⢀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⠀⠙⠳⠦⠤⠞⠉⠀⢈⡻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠃⠀⠀⢀⡤⠤⣤⠤⠤⣤⣤⠶⠋⠀⢹⠇⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡾⠋⠀⠀⠀⣰⢧⡀⠀⠀⠀⣰⠟⠙⠦⣄⣠⡿⠋⠉⠉⣁⣤⣶⣾⢿⣷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⠶⢦⡀⢀⡾⠛⢿⣀⠀⠀⢀⣾⠋⠀⠹⣦⣠⡾⢃⣀⣀⣠⣬⣿⣶⣶⣶⣾⠿⠟⠋⠀⠸⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⣦⣤⣤⣴⣏⣹⣿⣡⣤⣤⣽⣏⣀⣀⣀⣹⣷⣤⣤⣤⣤⠤⠶⠾⠛⠛⠉⠉⠁⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⣿⣧⠀ ⠀⠀⠀⠀⠀⠀⢿⣯⠉⠉⠉⠉⠉⠉⠙⠓⠒⠶⠶⠦⣤⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡆ ⠀⠀⠀⠀⠀⠀⠸⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠟⠙⠃ ⠀⠀⠀⠀⠀⠀⠀⠻⣿⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⠿⣦⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⢛⣛⡿⠟⠋⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠤⠿⠯⠉⠛⠛⠛⠿⠶⠶⢶⣾⣿⣯⣥⣤⣤⣄⣀⣀⣀⣀⣤⣤⣤⣴⠶⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣶⣶⣶⡶⠟⠋⠉⠁⠀⠀⠀⠀⠉⠙⠛⢷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣴⡾⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⢷⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡀⠀⠀⠀⠀⠀ ⠀⢠⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣇⠀⠀⠀⠀⠀ ⢠⣿⠃⠀⠀⠀⠀⠀⠀⠦⣄⣀⣀⡀⠈⠙⠶⠦⣄⣠⡤⠴⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡄⠀⠀⠀⠀ ⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠓⠲⠶⠤⠤⠤⢄⣀⡤⠴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⠀⠀⠀⠀ ⣿⠀⠀⠀⠀⠀⠀⠲⠶⠶⣷⣒⣒⣒⡖⠒⠒⠒⠶⠤⣤⣀⣀⣀⣀⣀⣠⣴⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣇⠀⠀⠀ ⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⡦⠀⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠁⠀⠀⠀⠸⠶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀ ⡇⠀⣦⡀⠀⠀⠀⠀⣀⣀⣴⣾⡿⠃⠀⠀⠀⠀⠀⠀⢹⣶⣦⣄⣀⡀⠀⠀⠀⠀⣀⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⠀ ⡇⠀⠸⣇⠀⢠⣶⣿⠿⠟⣛⡁⠔⠀⠀⠀⠀⠀⠀⠀⢀⠈⢉⣛⣛⠻⢿⣷⡄⠘⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀ ⣇⠀⠀⠈⠀⢸⡏⢼⣤⡞⠉⣙⣧⠀⠀⠀⠀⠀⠀⠀⠸⣶⣏⣭⣛⣧⡠⠝⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇ ⡏⠀⠀⠀⠀⡈⠳⡗⠛⢿⡿⢋⣿⠀⠀⠀⠀⠀⠀⠀⠈⢷⣿⣿⣿⡿⠛⣶⠏⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣧⠀⠀⠀⢸⢷⠀⠈⠀⣈⣽⣿⠏⠀⠀⠀⢻⡀⠀⠀⠀⢐⣿⣿⣏⠁⠀⠀⠀⠀⣰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⠀⠀⠀⢸⡆⢧⡀⠀⠀⠀⠏⠀⠀⠀⠠⣿⡇⠀⠀⠀⠈⠻⣎⠈⠁⠀⠀⠀⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⢻⣧⠀⠀⠀⠹⣄⠹⣦⣄⠀⠀⠀⠀⠀⠀⣈⣷⠄⠀⢸⣦⡀⠀⢁⣠⣤⠶⠚⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⠈⢻⣧⡀⠀⠀⠈⢣⡀⣹⠓⠂⠀⠀⢠⡾⡏⠙⠀⢀⠈⣿⣦⡀⠀⢠⡈⢳⣄⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏ ⠀⠀⢻⣇⠀⠀⠀⠀⢳⠃⠀⠀⠀⢠⡾⣦⣽⣆⡀⠰⠾⣿⣿⡿⡄⠈⣧⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀ ⠀⠀⠈⢿⡆⠀⠀⠀⠀⠀⠀⠀⢀⣾⠇⠀⠈⠉⠁⠀⠀⠀⠐⠒⠁⠀⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀ ⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⢀⣾⡟⠀⠀⠀⠀⠀⠀⢀⣤⠀⠀⠀⠀⠀⠀⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀ ⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⢺⣿⠁⠀⠀⠀⠀⣠⣤⠟⠙⠒⢲⣄⠀⠀⢀⢀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀ ⠀⠀⠀⠀⢹⣷⠀⠀⠀⠀⢠⣿⡇⣼⣇⡤⢶⣻⢹⣿⡷⠶⠶⠾⢛⣳⠒⠊⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠁⠀⠀ ⠀⠀⠀⠀⠀⢻⣿⠂⠀⠀⠈⢿⣇⣿⡇⠀⠀⠙⠷⣄⣀⣀⣠⠴⠛⠁⠀⠀⠙⠿⠻⡇⠀⠀⠀⠀⠀⠀⠀⢠⡿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣧⢀⠀⠀⠈⠻⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠻⣧⡀⠀⠀⠀⠀⢀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢀⣴⠋⠀⠀⠀⠀⠀⢀⣴⡿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣧⡀⠀⠀⠘⣍⠒⠂⠘⢷⣤⣀⣀⣀⣀⣤⠾⠓⢉⡟⠀⠀⠀⠀⠀⣤⣿⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣦⣄⠀⠈⠳⣄⡀⠀⠈⠉⠉⠉⠁⠀⠀⣠⠞⠁⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣷⡀⠀⠀⠉⠓⠲⠶⠤⠤⠤⠴⠚⠁⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⢶⣤⣀⣀⣀⡀⠀⠀⠀⠀⣀⣠⣴⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡉⠛⠛⠛⠿⠿⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⣀⣀⣄⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣾⢿⡿⣟⡿⣻⢯⡟⣯⢟⡻⣟⢿⡻⣿⢿⣷⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⢿⡟⣯⢳⢭⠳⡹⢌⠳⡑⠎⠜⢢⠩⠑⠎⢎⡱⡙⢎⡳⡝⣯⢟⡿⣿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⡿⡿⣝⢮⢳⠹⢌⠃⠎⠡⠑⠈⠀⠐⠈⠀⠀⠀⠁⠈⠀⠀⠈⠠⠑⠘⠤⢋⠞⡵⣫⢿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⢳⢏⡳⠍⢎⠢⠑⠈⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠊⠰⢡⢋⠶⣫⢟⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡟⣯⠞⡍⠎⡔⠉⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡈⠜⣡⢛⡼⣳⣟⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣴⣿⣿⢫⡞⡱⢊⠜⡐⡈⠤⣒⣬⣵⣶⣦⣄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠐⣈⠲⡱⢞⣽⣻⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⣿⡟⣼⢣⠞⡡⢃⠜⠠⠰⡛⠛⠋⠩⣙⣿⣿⡄⠐⣆⠀⠀⠀⠂⡰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡄⠱⣈⠳⣜⡳⣯⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣿⣟⣧⣛⢦⢫⢜⡡⢎⠰⡁⣦⢖⣢⣾⣿⠿⠛⣿⣿⣄⠘⣆⠀⠀⠀⠀⠋⠰⣐⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣬⣥⣐⠡⢢⡙⡴⡹⢞⣿⣻⣷⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣿⣟⡾⣱⢫⢎⡳⢌⠲⢌⢲⡞⣡⣵⣿⠋⠀⠀⢀⠻⣿⣿⣦⡘⠳⣤⣀⠀⠀⠀⠀⠀⡀⠀⠀⢀⠀⠀⢀⡖⠀⢠⣾⡿⠻⠿⣿⣦⡱⣸⠱⣏⡞⣷⢿⣷⡀⠀⠀⠀⠀⠀ ⠀⢀⣾⣿⢞⣵⢫⡝⣮⢱⡋⣜⢢⣿⠙⣾⡿⠁⠀⢀⢤⡶⣿⡿⢿⣿⣿⣶⣤⣭⣛⣝⣦⣼⣶⠾⠂⡀⢀⣂⣴⠟⢠⣱⣿⣿⣦⣁⠒⡤⣉⠳⣔⢫⡼⣹⢞⣯⢿⣧⠀⠀⠀⠀⠀ ⠀⣼⣿⡽⣞⢮⡳⣝⢦⡣⣽⢡⢾⡗⣼⣿⠁⠀⣠⡿⢄⠱⣼⣿⣦⡝⣻⣿⠿⠿⣿⡿⢛⢋⡙⢿⣶⣽⣙⣩⣵⣼⣿⣿⡿⠏⠙⢿⣮⠴⣥⠳⣌⢳⡜⣧⣛⠾⣯⢿⡆⠀⠀⠀⠀ ⢠⣿⣷⢻⡼⣳⡝⣞⡲⢵⣩⡗⣺⡯⣼⡿⡀⢀⡏⡁⣾⣷⣝⣿⣿⡿⠾⣿⡧⠀⢻⣧⢃⠖⡌⢦⡉⢿⣿⣿⠿⣿⣿⣥⣶⣀⠀⠈⣿⣧⢫⣷⢌⡗⣺⠵⣫⢟⣽⣻⣷⠀⠀⠀⠀ ⣼⣿⠾⣝⡾⣱⢻⡼⣙⢮⡜⣷⣣⣿⢼⣇⠃⢸⡇⢸⣿⣿⣿⣿⣿⣇⣀⢿⡇⠀⣸⣏⢮⡹⡜⢦⣍⣿⠏⣠⡿⣋⣽⣿⡿⠋⣢⠀⢸⣿⠥⣿⣚⢼⢣⡟⣵⢻⡞⣷⣿⡆⠀⠀⠀ ⣿⣟⡿⣹⢞⣭⢷⡹⣝⡞⡼⢻⣷⣺⡟⣿⡈⡀⣯⢦⡻⣿⣿⣿⣿⡿⢣⣿⠇⢀⣿⣟⡲⣵⡹⠶⣼⡏⠁⣿⠉⢿⣿⣯⣿⡎⣿⡄⠀⣿⡳⣽⢮⣭⢳⡝⣞⡧⣟⣷⣻⣷⠀⠀⠀ ⣿⣿⡿⣿⣾⣯⣟⣷⣻⣿⣻⣏⣿⣿⣿⣻⣷⣁⣹⣿⣷⣯⣿⣿⣿⣳⣾⠟⢀⣾⣿⣟⣷⣯⣿⣿⣿⡷⠸⡏⢸⣿⣿⣿⣿⡇⣻⡇⢸⣿⣳⣿⣯⡿⣯⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣟⣷⣿⢷⡿⣾⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⢿⡿⣿⢿⣷⣾⣿⣷⣿⣞⣿⣿⣿⣿⣷⡀⢿⣜⢿⣿⣿⡿⣡⡿⠀⣾⣿⣿⣻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸ ⣿⣯⢷⣫⢷⡻⣝⡾⣱⢯⡞⣵⢫⡟⣶⣹⢳⡿⣼⣟⢿⢮⣽⣮⣷⡽⣞⡽⢯⣿⣧⣳⠽⣎⠿⣼⢫⣿⣥⣼⣿⣶⡿⣷⣶⣿⣁⣴⡿⣾⡭⢷⡺⣝⢧⡟⣽⡲⣟⡷⣯⣿⠀⠀⢸ ⢻⣟⣯⣳⢯⡽⣞⡵⣯⡳⢯⣝⣧⢻⠶⣭⡳⣽⡹⣮⣿⢿⣹⣞⣶⣽⣽⡾⣝⣮⡝⣮⢻⣭⣛⢮⡿⢿⡹⢧⣳⢎⣷⣣⣿⡼⣻⢿⡽⢮⣝⢷⣫⡽⣞⡽⣣⣟⢧⡿⣽⡏⠀⠀⢸ ⠸⣿⣳⡽⣞⣳⡽⣞⣵⡻⣝⡾⣜⣯⢻⡵⣛⡶⣽⡿⣽⣾⢿⣽⣾⣽⡾⢿⣯⣟⣿⣼⣓⢮⡝⣮⣝⡳⣏⠿⣜⢯⠶⣝⣧⢻⣝⣮⠽⣏⡾⣣⢿⣜⡷⣹⠷⣭⢿⡽⣿⠂⠀⠀⢸ ⠀⢿⣷⣻⡵⣏⣾⢳⡞⣽⣣⢟⡾⣜⡯⣞⡽⣳⡿⣽⣾⢯⣿⢟⡽⠉⠹⣟⣬⠽⢻⣷⣿⣷⢾⡱⣎⢵⢫⡝⣮⣯⣿⢾⣼⣫⢞⡼⢯⣝⡾⣹⣳⢮⡽⣫⣟⣭⢿⣽⡟⠁⠀⠀⠀ ⠀⠘⣿⣽⢷⣫⢞⡧⣟⢧⣛⡾⣹⣎⢷⣫⢞⣽⣻⣽⣯⣿⢋⡞⠀⠀⠀⢻⡏⠀⠈⣧⠝⠻⡿⣿⣿⣾⣷⡿⢟⣛⡻⠻⣷⣿⣝⡞⣯⢞⡵⣻⡜⣧⢟⡵⣾⣹⣟⣾⠃⠀⠀⠀⠀ ⠀⠀⠹⣿⡿⣽⡺⣝⢮⡻⣜⣳⢳⣎⢷⡹⣎⢿⢲⣿⣽⡟⡜⢀⣀⣀⣀⡨⠀⠀⠤⠭⠄⣀⣛⣁⣹⠟⠉⢲⠋⠀⢷⠋⠈⣿⣿⡜⢧⡻⣜⢧⡻⣜⢯⣞⣷⣻⣾⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⢻⣿⡽⣷⡝⣮⢳⠽⣘⢧⠺⣥⠳⣍⢎⠳⣿⣽⡟⢎⠁⠀⠀⠀⢀⠀⠀⢀⠀⠀⢀⠀⣀⣄⠀⠉⠁⠒⠀⠁⠀⢀⣿⣿⢸⢣⠳⣍⡞⡵⣫⢞⣾⣳⣿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠻⣿⣷⣻⡜⣏⠞⣭⢊⠷⣈⠳⡌⢎⡑⢻⣯⣿⡄⠢⠀⠀⢀⠞⠃⢀⠜⢂⣠⣵⣿⣿⡿⣿⣦⠐⠲⣀⠀⢀⣾⣿⢃⠧⣉⠳⡜⡼⣱⢯⣟⣾⡽⠃⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⣷⣯⣟⣮⣛⡴⣉⠖⡡⢃⠜⠠⠌⡀⠿⣟⣿⣦⣑⡒⠁⣀⣠⣤⣾⣿⣿⠟⢋⣥⠴⣤⡙⠿⣶⣶⣶⣿⠿⠃⢌⠢⢡⢓⡼⣱⢯⣟⣾⡟⠁⠄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠻⣿⣞⡷⣧⡳⣌⠱⡈⢄⠃⡀⠄⠀⢉⠻⢽⣟⣿⣿⡟⠿⠟⠋⠉⢀⡴⠋⠀⠀⠀⠙⢆⠀⠉⠉⠁⠠⢈⠢⣡⢓⣮⢷⣻⣯⡿⠋⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣳⢿⣭⢷⣩⢆⢢⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠐⣢⢥⣳⣭⣟⡾⣯⡷⠋⣁⠬⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣾⣯⢷⣻⢮⡽⣸⢄⡣⣀⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⢀⠠⣀⠢⣄⠳⣔⣻⢶⣯⢷⣻⣾⠿⠋⠀⢆⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣽⣯⣟⡷⣯⣳⢧⣞⡴⣍⢦⣑⣆⠲⣄⢣⡜⣌⠦⣎⢦⣳⣜⡷⣞⡿⣽⢯⣟⡾⠟⢋⠁⢄⡌⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⢉⠛⠿⣷⣯⣟⣾⡽⣯⣟⡾⣞⡿⣞⣷⣻⣞⡿⣽⢯⡷⣯⣿⣽⡿⠟⠛⠉⡐⠈⠄⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠉⠙⣛⠳⠻⠿⠯⠿⠽⠾⠷⠿⠿⠿⠛⠛⡉⢉⠐⠀⠂⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠉⠉⠉⠉⠉⠁⠁⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⡏⡜⢣⡙⠦⡑⢢⡑⠦⡑⠦⡑⠦⡑⢦⠱⡌⠲⣌⠲⠌⢦⡑⠦⡑⠦⡑⠦⡑⠦⡱⢌⡒⡌⠲⢌⡒⡌⠲⢌⠲⢌⠒⣌⠲⣈⠒⣌⠒⣌⠒⣌⠒⣌⠒⡌⡒⢌⠲⢌⠲⢌⡒⢌⡒⢌⡒⢌⡒⣌⠲⢌⠲⢌⠦⡑⠦⡑⢦⠑⢦⡑⠦⠱⣌⠲⢌ ⣕⢪⡱⢌⡱⢌⠥⡘⢆⡍⣒⠩⢆⡍⢢⠱⣌⠱⣄⠣⡍⢆⡜⡰⣉⠖⣉⠖⣉⠖⡡⢒⠜⣈⠓⠦⡑⡌⠓⡬⣑⣪⣵⣦⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣥⣞⣠⠍⡒⠜⢢⠜⡂⠖⠤⠓⡌⠣⠎⡴⢡⢣⠱⣌⠚⡤⡘⢬⠱⣄⠳⡌ ⡜⢢⡑⢎⡔⢊⡒⢍⡒⡘⢤⢋⠒⣌⢃⠣⡌⢣⡘⢢⠍⡒⣌⡑⢢⢍⢢⡙⡰⢊⡕⠪⠜⠤⢋⢦⣵⣾⣿⣿⣿⠿⢟⡛⢫⢍⡱⢂⠖⣠⠒⡔⢢⠒⡬⢌⠭⡙⣛⠻⠿⣿⣿⣷⣯⣆⢎⠱⣉⢎⡱⢌⠣⢓⡰⢃⡌⢣⠰⣉⢒⡉⢆⡓⠤⠓⡌ ⡝⢢⢍⠲⣈⠇⡜⢢⠥⣙⠰⣊⠱⢌⡊⠵⣨⠑⡬⢡⠎⡱⠰⡌⢣⠜⡢⠜⣡⠣⢌⢣⣉⣾⣿⡿⢟⡛⢭⡉⢦⡉⠖⢬⢡⠒⡬⢡⣾⣷⠘⡬⣁⠏⡔⣊⢒⡱⢄⢻⣧⣆⠸⡙⣿⡿⣿⣷⣦⣖⡈⠎⢥⢃⠲⡡⢊⠥⠓⡌⠦⣉⠖⣨⠣⣙⠰ ⡝⢢⠎⡱⢌⡜⠌⡥⢒⠬⣑⠢⢍⠆⣍⠲⢄⠫⠔⡣⠜⣡⠓⣌⠣⡜⢡⠚⣄⠣⣮⣾⣿⠟⡫⠔⡣⠜⢢⠜⢢⠜⣉⢆⠣⡍⠴⡁⠿⡿⢇⢒⢡⠚⣄⢃⠎⡔⢊⡔⢻⣿⡆⡹⣿⣿⢄⢋⠟⣿⣿⣿⣤⣉⠖⡡⢍⡜⠱⡌⢓⠤⣉⠦⠱⢌⡒ ⡝⢢⡙⡔⢣⡘⡜⡰⣉⠲⢌⡱⢊⡜⠤⢓⡌⢣⡙⡰⢩⠔⣉⠦⠱⡌⢣⣑⣲⣿⡿⢛⡡⠎⣅⠳⣈⠇⢣⢊⠥⠚⢤⢊⠦⡙⡔⣩⠒⢥⢊⠜⢺⠣⢌⡒⢼⣮⡒⡌⢆⢿⣿⡔⢌⣻⣦⣎⣘⢄⢪⠙⡿⣿⣷⣵⣈⠲⢱⡈⢇⢚⡰⢌⡓⢬⡐ ⡝⢢⠱⣌⠣⡔⡑⠦⢡⠓⡌⢆⠣⡜⡘⠦⣘⢡⠒⡥⢃⡚⠤⣃⠓⡬⢡⣾⣿⠏⡜⣡⠒⠭⡄⢳⢠⠋⡆⣍⠲⣉⢆⠣⢎⠱⡘⢤⡙⢢⠍⡪⢅⡚⡰⢌⠢⡙⢻⣷⡌⠺⢿⣏⠦⣿⣿⣿⣿⢈⣦⣩⢐⣉⠛⣿⣿⣦⣣⠘⣌⠲⡐⢣⡘⢆⡘ ⡝⢢⠓⣌⠲⢡⠍⡜⣡⠚⠬⡌⣃⠖⣉⠖⡡⢎⠱⡌⡱⢌⡓⠤⢋⠴⣿⣿⢃⡚⡰⢡⠎⡱⠌⡥⢢⡙⢔⡂⡓⡌⠦⣙⠢⢣⡙⠴⡨⢅⠎⡱⢌⡒⢡⡊⠥⠱⣁⠚⣿⣧⣹⣿⡐⣛⠣⣂⣶⡿⠟⣙⠢⣌⢣⠰⡙⢿⣿⣷⣈⠖⣉⠦⣑⢊⡔ ⡝⢢⡙⢤⠋⡆⣍⠲⢄⡋⠖⡡⢆⢍⠲⢌⡱⢌⠣⢜⢡⠒⣌⠣⢃⣾⣿⢏⡰⢡⢃⠧⣘⢡⢚⡰⠡⢎⢢⠱⡑⢬⡑⠦⣙⠢⡑⢎⡑⣮⣼⣴⣬⣌⠱⢿⣎⡱⡈⠵⣈⠻⣧⣿⣷⢠⣳⡿⢋⡱⡘⠤⢃⠲⢌⡱⢘⠤⠻⣿⣿⣆⠱⡒⢌⡒⢌ ⡝⢢⠍⢦⡙⡰⠢⢍⠢⡍⡜⢡⠎⡸⢌⠲⠌⢦⡙⡌⢦⠙⡤⢃⣽⣿⡏⢒⠬⣑⠪⡔⡡⢎⠒⣌⠓⡌⢆⠣⢍⡒⢬⡑⢢⢃⡍⡒⠬⣐⣩⣜⣩⠿⢿⣬⢿⣿⣧⣎⡔⡡⡙⢿⣾⣿⣏⠒⡥⢒⣉⠒⣭⡘⢢⠜⡌⢲⠑⡜⣿⣿⣧⢉⠦⣉⠆ ⡹⢆⠹⡆⢶⢁⠹⣈⠱⢆⡉⣆⠹⣀⢇⠉⡾⠰⣆⠉⣆⠹⡀⢷⣿⣿⠈⡱⢎⡰⠇⠶⢱⡈⢇⡸⠸⡸⢈⠱⡎⢸⢰⡈⢇⡸⢀⣱⣿⡿⣏⣹⠹⢿⣎⡹⣷⣹⣿⣿⣿⣶⣁⣎⣿⣿⣀⠏⡰⢁⣆⣹⣿⢁⠇⡾⢈⡁⠾⢰⡈⣿⣿⡎⣰⠁⡎ ⡳⢌⠣⡜⢢⡉⢖⢡⠚⡤⢣⡐⢣⠌⠦⣙⠰⣃⠦⡙⣄⠣⢅⣿⣿⠇⣍⠲⢡⠒⡍⠎⡥⣘⠢⢅⢣⠱⣉⢒⡩⢆⠣⢜⠢⣅⢣⣿⢋⣼⣿⣿⣷⡎⡙⣿⡙⣧⡹⣿⣟⣻⣥⣋⢍⡛⢿⣾⣷⣿⣿⡿⢿⢾⣶⣴⣃⡜⣡⠣⠔⡹⣿⣿⡤⢙⡰ ⡳⢌⡓⢬⡑⡸⠌⠦⡙⢤⢃⡜⡡⢎⡱⢌⡱⢂⠖⡱⢠⠋⣴⣿⡏⡜⠤⣙⢢⡙⡰⢩⠔⣢⠙⡌⢆⡓⡌⠦⢱⡈⢇⢎⡱⠢⡌⢿⣦⡘⢿⡿⢟⢶⣥⣿⢅⠫⣼⣿⣿⣿⣌⠱⡶⣿⣷⣼⣿⣿⣡⣾⡷⠻⠶⣿⣝⣷⡤⢣⠙⣄⠻⣿⣧⢃⡔ ⡳⢌⡜⢢⠜⡡⢎⡱⢉⠆⣎⠰⡑⠦⡘⢆⠥⢋⠬⣡⢃⢣⣿⣿⠱⣨⠑⢦⢡⠒⠥⣃⠚⡤⡙⢌⠲⢌⡒⢍⠆⣍⠲⢌⡒⡱⢌⣪⣙⡻⢿⣾⡿⢾⠛⣥⣪⣿⠿⢏⡹⣿⣟⢻⣶⣼⡖⣿⣿⣾⣟⡹⢿⣵⣿⣶⣽⣷⠣⣅⢋⠴⢡⢻⣿⡆⡜ ⡳⢌⠲⡡⢎⡑⠦⢡⢋⡜⣠⠣⢍⡒⢍⡌⢎⡱⢊⠴⡈⢶⣿⡟⡰⢡⠚⡤⢃⡙⠦⢡⢋⡔⠱⣊⠱⡊⠜⡌⢎⠴⣉⠲⢌⠱⣈⢿⡿⠿⡿⢷⠿⠿⢟⡛⠭⣑⣪⡔⢢⢉⠏⢆⡌⢿⡏⠔⣿⣟⣿⣇⡚⢿⣿⡿⢯⣿⠣⢜⡨⢜⠢⡙⣿⣷⡈ ⡳⢌⢣⡑⠦⢩⠜⣡⠒⡴⢁⠞⡠⢍⡒⠜⣢⠑⢎⡒⣉⣿⣿⢣⢡⠣⣉⠖⡡⢎⡑⢣⢌⠲⢱⠨⠥⣙⡘⢬⡘⢢⡑⢎⠬⢱⣿⣿⡆⣱⣘⠌⣜⣡⣎⣴⣷⠿⢋⡔⠣⠎⡜⢤⡘⢤⡘⠬⢹⣿⣯⣙⠿⣾⡷⠾⢟⡡⢚⠤⢃⢎⠱⢌⣿⣿⡒ ⡳⢌⠦⡙⢬⢡⠚⣄⠳⣈⠎⡜⡡⠎⣌⠓⡤⢋⢆⡱⠤⣿⣿⢂⢣⠱⢌⡊⢕⢢⡉⠖⡌⢣⠎⣡⠓⡤⣉⠖⣨⠱⡘⢬⡘⢆⡩⠱⡌⡔⠻⠿⠿⢟⠻⣉⢆⠳⣈⣿⣷⣾⣴⣆⣩⠒⢬⡑⢢⢹⣿⡙⠿⢶⣼⡵⣈⢒⡩⢌⢣⢊⡜⠤⣻⣿⣇ ⡳⢌⠲⣉⠖⡌⡱⢂⠧⡘⣌⠒⡥⠓⡬⡘⠴⣉⢆⡒⢩⣿⣿⠌⢦⢙⠢⢍⡒⢆⡩⠜⡌⢥⠚⣄⠳⢰⠡⡚⢄⢣⡙⠴⡘⢢⡑⢣⢒⡡⢋⡜⠱⣊⠱⡌⢢⠓⠤⣾⣿⣿⣿⣿⣿⣭⣶⣬⡁⠾⣿⣿⡘⡔⢢⠒⡌⠦⡘⡌⢆⢣⠘⡆⣽⣿⡧ ⡳⢌⡓⣌⠲⣁⠇⡣⠜⡡⢆⡹⢠⢋⡔⢩⢒⡡⠆⣍⠒⣿⣿⡘⢆⡩⢚⠤⢃⠎⡴⣉⠜⣂⠳⢨⠜⣡⠣⡑⢎⡒⢬⠱⢌⠣⠜⡡⢆⡱⢃⡌⡓⠬⡑⣌⠣⡍⢺⣿⡛⢏⠩⣉⠹⢿⣿⠿⣿⣶⢬⣿⣿⡌⢣⢍⠲⡡⢓⡸⠌⡆⢓⠌⣾⣿⡗ ⡳⢌⠲⣌⠱⣂⢍⡒⢍⡒⠥⡒⢥⢊⠬⣑⢪⠰⢩⢄⢋⣿⣿⡘⢢⡑⢣⢊⡕⠪⡔⣌⠚⡤⢋⠦⡙⣄⢣⡙⢤⡉⢦⠙⣌⢣⡙⠴⡡⢒⠥⣒⢩⢒⠱⢢⠱⢨⣽⣿⠿⢿⣷⣾⣧⡒⠤⣃⢆⠫⣌⡙⣻⡇⢣⢊⠥⣑⠣⡔⣩⠒⣩⠘⣾⣿⠇ ⡳⢌⠣⡜⢢⢅⠲⣘⠢⣅⠳⡘⢢⡉⠖⡌⠦⣙⠢⢎⡂⣿⣿⡅⢣⠜⡡⢎⠰⢣⠜⣠⢋⡔⠣⡜⢡⠆⡣⠜⢢⢱⣈⠳⣈⠦⣘⠱⡌⢣⠚⢤⢃⢎⡱⢡⠋⣴⣿⠢⢍⠆⢢⠍⣿⣿⣕⡐⡊⠖⣠⣼⡿⢡⢃⢎⠲⢡⠚⣄⠣⡜⢠⢃⣿⣿⡉ ⡳⢌⡓⢬⠡⢎⡑⢆⢣⢂⠇⡍⠦⢱⣉⠲⣑⠢⡍⠆⡥⢻⣿⣇⠣⢎⠱⡌⡃⢇⡚⠴⣈⠆⣳⣼⣂⠱⣡⠋⢆⡛⣡⠚⡄⠳⢌⡒⢡⠣⢍⠲⢌⡒⢬⡑⢊⠽⣛⣿⣴⣾⣧⣎⠜⣿⣿⣿⣿⣿⣿⡿⣁⠇⢎⢢⡙⢢⢍⠢⡓⢌⠣⣌⣿⡿⡐ ⡳⢌⡜⢢⡙⠴⡘⡌⠦⢩⠜⡘⢬⠡⢆⠓⡤⢓⡌⢓⡰⢹⣿⣧⠓⣌⢃⠖⣉⠖⢬⠱⢌⡒⡡⢍⢢⠓⣄⢋⠦⣑⢢⠙⣌⠓⣌⠳⠟⣠⢋⠜⡢⠍⡆⡜⡡⢿⣿⣿⣿⡿⢿⠿⠻⢿⣿⣭⣝⣿⣿⣃⠔⡪⠜⢢⢅⢣⢊⡕⡸⢌⡱⢸⣿⡗⡡ ⡳⢌⠲⣡⠚⡔⡱⢌⡃⢇⢪⢑⣊⠱⣊⠱⡘⢆⡜⡡⢒⡡⣿⣿⡜⢰⠊⡜⡰⢊⠦⣙⠢⣅⠳⢌⠦⣉⠦⣉⠖⡌⠦⡙⠤⣋⠤⢓⡸⡐⠎⡬⢡⢓⡸⢐⡡⣿⣿⡿⣿⢿⣢⣭⣷⣿⣶⣯⡜⣻⣿⣿⣿⠰⣉⠖⡌⢆⠣⢆⡱⢊⠔⣻⣿⠱⡐ ⡳⢌⡓⢤⠓⡘⢤⠣⠜⡌⢆⠣⣌⠱⡂⠧⣉⠖⡰⢡⢃⠦⣹⣿⣇⠣⢍⡒⠥⣃⠚⣄⠳⡠⢍⠆⡓⣌⠒⡥⠚⣌⠱⡌⢓⠤⢋⠦⢡⢣⡙⡰⢃⠎⡔⢣⡐⣿⠟⣡⣿⢿⣿⣿⣿⣯⣿⣟⣿⣇⣻⣿⠣⡑⣌⠲⣉⢌⡓⡌⢦⢉⢼⣿⡿⡑⢌ ⡳⢌⡜⢢⡙⠜⡢⢍⠚⡌⣌⠣⡔⢣⡑⢣⠜⡨⢅⠣⠎⡔⢢⢿⣿⡇⠎⡔⢣⠌⡣⠜⡰⣑⢪⡘⠥⢢⡙⠴⡑⣦⣧⡘⠥⣊⠕⣊⠥⢢⠱⣡⢃⠞⡸⣀⣾⣿⣿⣿⣿⣾⣿⣼⣯⣽⣻⡿⣿⢣⣿⣿⢐⡱⢂⠳⢌⡒⣌⠲⢌⠒⣾⣿⡗⡘⠤ ⡳⢌⠲⡡⢎⠱⡡⢎⠱⡘⠤⢓⡸⢄⢣⢃⢎⡑⢪⠱⣉⠲⣁⠞⣿⣿⡜⡘⠦⣑⢡⡙⢔⠢⡅⢎⡑⢣⠜⢢⠱⢌⡓⠬⣑⠢⣍⠒⣌⢣⡑⠦⣑⢊⡱⣰⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣇⡖⢬⢡⢋⠴⡘⣄⠳⣈⣹⣿⡟⢤⢙⡰ ⡳⢌⢣⡑⢎⡡⣑⠪⣡⠙⣌⠣⡔⡊⠖⡌⢆⡙⢢⠓⠬⣑⠢⢎⡘⢿⣿⣆⡓⡌⢲⡘⢌⡱⡘⢢⠍⠦⣙⠢⣍⠲⢌⡱⢂⠳⢄⠫⡔⢢⡑⠎⡔⢣⡐⡟⠣⡜⠛⢿⣽⣟⣻⠿⣿⣿⣿⠛⣿⣧⣘⡛⢏⢢⡑⠎⠦⣑⠢⣑⣶⣿⡟⡡⢎⠒⡔ ⡳⢌⠦⡙⠤⠓⣌⠱⣂⠍⠦⡑⠦⣙⡘⡌⠦⣙⢢⢙⢢⡑⢎⢢⡑⢊⢿⣿⣿⣾⣔⡘⠦⡑⣌⢃⢎⡱⢂⡓⠤⣋⠴⣁⠫⢜⡨⠱⣌⠱⣘⡜⣈⢖⣼⣇⣇⣻⣯⣔⠬⣉⢛⡛⠭⠶⢟⡋⣼⡏⢭⡘⠔⡢⠜⣡⠓⢤⣳⣾⣿⢋⠴⡑⢪⠱⣈ ⡳⢌⠲⣉⢎⡱⢌⡒⠥⣊⠵⢡⠓⡤⠣⢜⡑⢢⠅⣎⠒⡌⢆⠣⣌⣿⣿⡿⠛⠿⣿⣿⣦⣱⢈⠎⡔⢢⠣⠜⡱⢄⠳⢨⡑⢎⡰⠣⢄⣳⣾⢃⢖⣾⣿⡿⡿⢿⣿⣿⣿⣶⣦⣜⣦⣉⣦⣼⣿⣯⠰⢌⠣⣑⠃⢦⣹⣾⣿⢛⡡⢎⢒⡩⢆⠓⡤ ⡳⢌⡓⣌⠲⢄⠣⡜⢡⠒⣌⢃⠞⡰⣉⠖⣌⠣⢚⠤⡙⢌⣦⣿⣿⠟⠥⡒⢩⠒⡤⢋⠻⣿⣿⣶⣬⣡⠣⡙⡔⡊⢥⢃⡜⢂⠖⣩⣾⡿⣉⠆⣾⣿⠟⢤⡑⢆⡒⢤⢩⢩⡙⣛⠛⡟⡛⠭⣸⣿⡎⢆⣓⣤⣿⣿⡿⢋⢆⢣⠒⡌⠦⢱⡈⢇⡔ ⢷⡈⢶⡈⢶⠉⡶⠉⣆⠹⣀⠎⡸⢁⡆⣉⣀⠹⢆⢱⣈⣿⣿⠿⢱⠎⣿⣿⣀⠏⡰⢇⠱⢆⠉⠿⣿⣿⣷⣷⣀⠹⢰⠎⣰⣉⣾⣿⠏⡰⢆⠾⣿⢉⠸⢆⡸⢆⠉⡆⢇⠶⣈⢰⢉⡰⠉⡶⣀⣿⣿⣾⣿⣿⠏⣱⠈⢇⠎⡆⠹⡈⢱⢁⡎⡆⡸ ⢧⡘⢦⡘⢆⠓⣌⠓⣌⠱⡌⢎⡱⢊⠴⡁⢆⣃⣮⣾⣿⠟⣉⢎⡱⠌⡜⢻⣿⣷⡌⢆⡙⢢⡙⢒⠤⣉⠛⠿⢿⣿⣷⣾⣶⣿⣿⣡⣎⣑⢪⠰⡉⠶⣏⠢⣑⢊⡱⢘⢌⡒⡡⢎⣰⣡⣽⣴⣿⡿⢟⡛⠭⡰⢩⢄⠫⢌⠒⡬⢑⡡⢃⠎⠴⡨⢅ ⢧⡘⠆⡭⡘⢜⡠⢋⡔⢣⠜⢢⡑⠎⡔⣩⣶⣿⡿⢋⠥⡚⠔⡌⠦⣙⡐⢣⠙⣿⣿⣧⡜⡡⢌⢣⠚⣄⠫⢜⠢⡌⢭⠙⣛⠛⠿⠿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡟⡛⠭⢱⢘⠢⢍⠲⢡⢣⠘⡜⢢⠩⣴⡃⢬⡑⠪⢥⢑⡊ ⢧⡘⡱⢢⡙⢤⠃⢧⡘⠦⣉⠖⣨⣱⣾⣿⢟⡩⠆⣍⢒⡉⠞⣨⠑⠦⡘⠥⠚⢤⠙⣿⣿⣷⣌⠢⢓⡌⡜⣂⠳⡘⢢⡙⠤⣋⠜⡑⢆⠲⣁⠖⣈⢦⣿⣿⣿⡩⠍⡍⡍⡱⢌⠢⣑⠢⡙⡌⢆⢣⡉⢎⡡⢃⠦⣉⢼⣷⣿⣿⣿⣾⣿⢱⣌⠒⡌ ⢧⡘⠥⢣⡘⢆⡙⠆⡜⢢⠅⣺⣼⣿⠟⡡⢎⡰⠩⡔⣊⠬⣑⢢⢙⢢⡙⠬⣙⠢⢍⡄⢛⢿⣿⣷⡌⡒⠴⣁⠎⡱⢡⠎⡱⢂⠭⡘⢬⡑⢢⠩⣴⣿⡿⠻⢿⣿⣮⡔⣑⢢⣮⡕⣰⣧⡕⡨⣜⠤⡘⢆⠲⣉⠲⢌⡌⢻⣿⣿⣿⣿⣿⣿⡿⡘⠰ ⢧⡘⢥⠣⠜⡢⢍⠚⣌⠲⣼⣿⡿⠡⢎⡑⠦⡑⢣⢒⢡⢒⡡⢎⢢⢃⠬⡑⠦⣉⠖⣨⠣⢌⡹⢿⣿⣷⡘⢤⡙⠔⣣⢘⡡⢍⡒⢩⠆⡜⢡⣿⣿⠏⡴⢉⠦⡙⢿⣿⣷⣼⣿⣿⣸⣿⣟⣰⣿⡧⢙⠤⠓⣌⠲⣌⣴⣿⡿⢋⡛⣛⠻⣉⢆⠱⢃ ⢇⡜⢢⢃⠧⣑⢊⡱⢤⣿⣿⠏⠴⣉⠦⣉⠖⣉⠖⡌⢆⢣⠒⡌⢦⢉⠖⣉⠖⣡⠚⣄⠳⢨⠔⡡⢛⢿⣿⣶⣈⠓⡔⣊⠔⡢⢍⠲⠌⣼⣿⣿⢃⡚⣰⣉⣦⣱⣦⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⡇⡜⣡⣦⣿⣿⢟⠫⡔⠣⡜⠤⣓⠰⡊⢥⢃ ⠣⣌⠣⠜⢢⠱⡨⣴⣿⡿⢃⢎⡱⢂⠖⡡⠎⡔⢪⠜⡨⢆⡙⡌⠦⢩⡘⡔⢪⠔⡱⣈⠎⡥⢊⡕⢪⠰⡙⢿⣿⣷⣌⣤⣧⣵⣮⣶⣿⣿⣿⣿⣿⣿⣿⡿⠿⢟⡛⢫⢍⡩⠻⣿⣿⣭⠻⣿⢿⣿⣷⣾⣿⠿⡋⠖⡌⡓⡌⡓⠬⣑⠢⢃⡍⠦⢌ ⡑⠦⡙⡌⣃⣶⣿⣿⢛⡰⡉⢦⡘⠥⣊⠱⡘⢬⠡⢎⠱⡌⠦⢱⡉⠦⡑⢬⠡⢎⠱⣄⠳⢨⠱⢌⢆⠣⢍⢆⡹⢿⡿⠿⢟⡛⢭⣿⣿⢟⡡⠎⡔⢢⠒⣌⠓⡬⡘⠥⢢⠱⡑⡌⠻⣿⣷⣶⣿⡿⢟⠫⡔⢣⡉⢖⡡⠱⡌⠥⠓⡤⢋⡒⣌⠚⠤ ⢌⡱⠘⣤⣿⣿⠟⡄⢣⢒⡉⢦⠘⡥⢌⡱⢉⠦⡙⢤⠓⡸⠌⡥⣘⠱⣘⠢⢍⡊⠖⡤⢋⠦⣉⠎⡴⢉⠖⡨⢔⠢⣌⠱⠢⢜⣾⣿⠏⢢⠜⡱⢌⠣⡩⢄⢫⠰⢡⢋⢆⢣⠱⢌⠣⡔⢹⢋⠵⡘⢌⡱⢘⢢⡑⢎⡰⢃⡜⣡⢋⠔⣣⠘⡤⢋⠒ ⠢⣅⣫⣿⡿⢃⡜⢨⠱⠌⡜⢄⡋⢔⡊⠴⡉⢆⢍⢢⠙⡰⠩⠔⡌⡱⢂⡍⠆⣍⠲⣁⠎⣒⠡⠚⣄⠋⡬⢑⡊⡱⢄⣋⢱⣾⣿⡃⢎⡑⠎⡔⢣⠡⠓⡌⠦⡙⢂⠎⣂⠎⣑⢊⡱⢌⡡⢎⠰⣉⠒⡌⡃⠖⣨⠒⡰⢃⡔⢢⡑⠪⠔⡩⠔⣩⠘
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠏⠀⠀⠀⠀⠀⠉⢿⣆⠀⠀⠀⢀⣶⡶⠄⢀⣀⣠⣤⣾⣷⣄⠀⠀⠀⠀⠐⢳⣤⠀⠀⠀⠀⠀⠀⣾⠋⢾⡟⣿⣿⠿⣿⣉⣿⣿⣴⣿⡏⠀⠀⠀⠀⠈⠻⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⢘⣿⠀⠀⠀⠉⠁⠀⠀⣘⣿⣶⣦⣀⠈⠹⣧⠀⠀⠀⠀⠀⠙⢷⡀⠀⠀⠀⠀⣿⠀⢸⣇⢿⣿⡆⢹⠻⣿⣿⣶⡇⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣶⣦⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠾⠛⠀⠀⠀⠀⠀⠀⣾⣿⠿⠛⠿⢿⣿⣾⣿⠀⠀⠀⠀⠀⠀⠈⠻⣆⠀⠀⠀⠀⠀⠀⠉⠸⣿⣿⣾⣿⣿⣿⢋⡀⠀⠀⠀⠀⠀⢀⡾⠟⠉⠉⠙⠛⠛⠻⠿⣿⣿⣿⣿⣷⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣿⣿⣦⡄⢀⣤⣨⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠘⠷⣄⡀⠀⠀⠀⠀⢠⣼⢿⣿⣿⡭⠟⠛⣁⣀⣀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⣀⡀⠀⠀⠉⠙⠛⠿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠟⠋⠁⢸⣿⣿⣿⡇⠘⠿⢻⣿⣿⡷⢠⡶⠀⠀⠀⣠⣤⣤⣄⣬⣿⣶⣦⣀⠀⠈⠙⠋⠁⠀⠒⠛⠋⠉⠉⢉⣉⣉⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠉⠛⠷⣦⣄⠀⠀⠀⠀⠀⠉⠻⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠀⠀⠀⠀⣬⡛⢿⣿⣿⣶⣶⣿⣿⣿⣇⡾⠁⠀⣠⣶⠟⠀⣹⠟⢧⣤⡀⣹⡟⠻⠶⠶⠶⠶⠶⠶⠶⠒⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢉⣭⣿⣷⣶⣶⣿⣿⣦⣀⠀⠀⠀⠀⠈⠻⣿⣿⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⣠⣴⠂⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⡿⣮⣭⡿⠟⢉⣿⣿⠋⠀⠀⢀⣽⣿⣤⣾⣿⡀⣸⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠷⣦⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⠀⠀⠀⠈⠙⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⢀⣤⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⢠⣄⠀⠀⠙⠶⠦⢤⣶⣿⡿⠃⠀⢀⣤⠞⠛⠿⠿⢿⡿⠿⠉⣿⡏⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢤⣾⣿⠟⠉⣉⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠙⢿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⣿⠁⠀⠀⢀⡴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢳⣶⣶⣤⡴⣶⡿⠉⢀⣠⡶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡈⢷⣤⠀⠀⠀⠀⠀⢀⣤⣤⡜⢛⣻⡾⢿⣭⣶⣿⣿⠟⠃⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠈⠻⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣟⣡⡶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠈⠻⣦⡴⢶⣿⡛⣷⠶⣞⣯⣷⣶⣿⡿⠛⠋⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠘⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠛⣡⡤⢀⠀⣴⡶⣴⡶⣤⡀⢀⣤⠀⣴⣀⣀⠀⠘⣷⡀⠀⠉⢿⣦⣉⣹⣵⣾⣿⡿⠟⠋⠁⠀⢀⠀⠀⠀⣠⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠘⢿⣿⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⢟⣋⣡⣤⣤⣥⣤⣬⣭⣭⣴⣯⣀⣴⣿⣿⣭⣤⣭⣭⣭⣶⣾⣛⣿⣦⣶⣿⣿⡿⠿⠟⠋⠁⠀⠀⠀⠈⠻⢯⡀⣠⣾⣿⠟⠉⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠈⢿⣿⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⣿⢃⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⡿⠿⠿⠟⠛⠛⠛⠛⠛⠛⣛⣿⣛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⣿⣭⡀⠀⢠⠀⠀⠀⠀⣀⣠⣀⣀⣈⠛⢹⣿⡃⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⢿⣿⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡿⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠛⠛⢿⣿⣄⠰⡟⠀⠀⠀⠀⣶⣼⡟⠋⠀⠀⠀⠀⠀⠀⠀⠻⣧⠀⠀⠀⠀⠀⣠⣤⣭⣅⠀⠻⠁⠀⣠⣾⣿⠿⠻⠻⢿⣿⣾⣿⠁⠀⠀⠀⠀⠀⢠⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡈⢻⣿⣦⠀⠀⠀ ⠀⠀⠀⠀⣿⡇⠀⠈⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠟⠁⠀⠀⣸⣿⣿⣿⣿⣶⣄⠀⠀⢹⡟⠀⠀⠀⠀⠀⠐⣶⣿⠂⠀⠀⠀⠀⠀⣠⣾⣿⣿⡿⣿⣷⡄⢀⣼⣿⠟⠁⢠⡀⠀⠀⠙⣿⣿⡀⠀⠘⣧⡀⠀⠈⢷⡈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢻⣿⣧⡀⠀ ⠀⠀⠀⢀⣿⡧⠀⠈⠀⠻⢷⣤⡀⠀⠀⠀⠀⣠⣾⣿⡟⠀⢀⡄⣼⣿⡟⠀⠀⠉⠻⣿⣷⣄⡘⡇⠀⠀⠀⠀⠀⠀⠈⢻⣆⠀⠀⠀⣠⣾⣿⡿⠃⠘⣷⡈⢿⣿⣿⣿⠏⠀⠀⢸⡇⠀⠀⠀⠘⢿⣷⡄⠀⠈⢷⡄⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠹⣿⣧⡀ ⠀⠀⠀⢸⣿⡇⠀⠰⣦⣤⣄⣉⣻⠷⠄⠀⢐⣿⣿⣿⡇⠀⡞⢠⣿⣿⠁⢀⣼⠀⠀⠘⣿⣿⣿⣿⣿⣷⣶⣶⣶⣦⣄⡀⠙⠂⢠⣾⣿⠿⣋⠀⠀⠀⠈⢷⡀⠻⣿⣿⡄⠀⠀⢸⣇⣠⡄⠀⠀⠚⣿⣷⡄⠀⠀⢻⡄⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠻⣿⣷ ⠀⠀⠀⣾⣿⠇⠀⠀⠀⠀⠙⣿⡿⠀⠀⠀⣾⣿⣿⣿⡇⢸⠁⢸⣿⡇⠀⣸⠃⠀⠀⠀⠸⣿⣿⡉⠀⢿⡍⠉⠉⠻⢿⣿⣶⣤⣿⣿⠅⠀⠘⣧⠀⠀⠀⠈⣷⡀⠹⣿⣿⡄⠀⠈⣿⣿⡇⠀⠀⠀⠘⣿⣷⠀⠀⠀⢻⣄⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣤⠀⠀⣿⣿ ⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠿⠇⠀⠀⣸⣿⣸⣿⣿⣇⡏⠀⣿⣿⠆⢀⡿⠀⠀⠀⠀⠀⢸⣿⣷⠀⠀⢿⡆⠀⠀⠀⠹⢿⣿⣿⣇⠀⠀⠀⠸⣇⠀⠀⠀⠸⣇⠀⠸⣿⣇⠀⠀⣿⣿⣷⠀⠀⠀⠀⣿⣿⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⠀⠀⣿⣿ ⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠻⠇⣽⣿⣿⣿⣧⣀⣿⡟⠀⣼⠃⠀⢸⠃⠀⠀⠀⠹⣿⣧⠀⠈⢷⡄⠸⣆⠀⠀⠈⠻⣿⣧⡀⠀⠀⢻⣆⠀⠀⠀⠹⣦⠀⢿⣿⠀⠀⢹⡿⢷⡀⠀⠀⠀⣿⣿⢀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠸⠄⠀⣿⣿ ⠀⠀⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⣿⣿⣿⣿⣿⣿⣤⡟⠀⠀⠈⠀⠀⠀⠀⠀⢻⣿⡄⠀⠈⢻⡄⠙⣦⠀⠀⠀⠹⣿⣷⡀⠀⠀⢹⣆⠀⢀⣄⣸⡇⢹⣿⠀⠀⠈⠓⠘⣧⠀⢀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿ ⠀⣸⣿⡏⠀⠀⠠⠞⠀⠀⣠⡶⠀⠀⠀⠀⠀⠉⠘⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣦⣄⣀⣘⣿⣷⠀⠀⠀⢻⡄⠘⣇⠀⠀⠀⠙⣿⣿⣀⠀⠀⠻⠆⠈⢿⡍⣷⢸⣿⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿ ⢠⣿⡿⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⢿⡀⠹⣆⠀⠀⠀⠙⢿⣿⠀⠀⠀⠀⠀⠘⣧⣹⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣿⣿ ⢼⣿⡇⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠻⣆⠀⠀⢀⣾⣿⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⢀⣾⣿⠃ ⢺⣿⡃⠀⢰⠏⠀⠀⠀⠀⠀⢀⣤⠾⠂⠀⠀⠀⣀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⣀⣀⣀⣀⣠⣽⣶⣶⣿⣿⣿⣠⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⣾⣿⠋⠀ ⢻⣿⡇⠀⠀⠀⠀⠀⠀⣀⣴⠟⠁⠀⠀⠀⠀⠀⢹⣦⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠈⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⣼⣿⡏⠀⠀ ⢹⣿⣇⠀⠀⠀⠀⢠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⣼⣿⡟⠀⠀⠀ ⠈⢿⣿⣧⡀⣄⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⢈⡇⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠛⠛⠛⠻⠿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⡟⠀⠀⠀⠀ ⠀⠀⠙⢿⣿⣶⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡿⢸⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⣾⣿⠟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⣿⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢸⠁⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⡌⠁⠀⠀⠀⠀⠀⠀⣿⣿⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⢀⣼⣿⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⢺⡇⠈⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⢠⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣦⡀⠀⠀⠀⠀⢸⡇⠀⢹⡆⠀⠀⠘⣿⣿⣿⣿⣿⣿⠿⠛⢻⣿⠉⠉⢉⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⢀⣀⣀⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣿⣿⡄⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣴⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣦⡀⠀⠀⠈⢿⡄⠀⠹⣆⠀⠀⠙⠿⣿⣿⣿⠿⠂⠀⠀⢹⣶⣿⡿⠿⠟⠛⠛⠛⠛⠛⠛⠛⠉⠙⢿⣿⣧⣤⣾⣿⣿⠿⠿⠿⠿⢿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⠟⠉⣿⡇⠀⣿⣿⠀⠹⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣼⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣦⡀⠀⠀⠙⢦⣀⠘⢳⣄⠀⠀⠈⢿⣿⣆⠀⠀⣤⣾⡿⠃⠀⠀⠀⠘⠛⠒⠦⠄⠀⠀⠀⠀⠘⣿⣿⡿⠛⠉⠀⣴⠶⠄⠀⢸⣿⠿⠿⣿⣷⣶⣶⣶⣾⣶⣾⣿⡿⠛⠁⠀⢀⣿⡇⠀⣿⣟⣀⣀⣿⣿⣿⣿⡿⠋⠀⠀⣠⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣄⠀⠀⠀⠙⢷⣄⡈⠻⢦⣀⠈⠻⣿⣷⣤⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⣺⣿⠀⠀⠀⣭⡀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⢸⣿⣿⣿⠿⠛⠻⠿⣿⣿⣿⠟⠁⠀⢀⣾⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣷⣄⠀⠀⠀⠉⠀⠀⠀⠙⠳⢦⡈⢿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠠⣿⡗⠀⠀⠀⢸⡦⠀⠀⠀⢹⣿⠀⠀⠀⠈⢷⣄⠀⠀⠀⢸⣿⡇⠀⠀⣀⣸⣿⡿⠁⠀⠀⠀⣠⣿⡿⠁⠀⠀⣰⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣷⣄⠀⠀⠀⠀⠀⠀⣤⡀⠀⠀⠛⠿⣿⣿⣷⣄⠀⡄⠀⠀⢸⠀⠀⠀⠀⠀⠀⢼⣿⡇⠀⠀⠀⢸⡇⠀⢺⠀⢸⣿⡇⠀⠀⠀⠀⢿⣷⡄⠀⢸⣿⣆⣠⣾⣿⠟⠋⠀⠀⠀⣠⣾⣿⠟⠁⠀⠀⣼⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣷⣄⠀⠀⠀⠀⠈⠙⢶⣄⠀⠀⠈⠛⢿⣿⣷⣷⣄⣀⡼⠁⠀⠀⠀⢀⣰⣿⣿⠀⠀⠀⢀⣾⠅⠀⣸⣆⣼⣿⣿⣦⣀⣀⣀⣸⣯⣧⣶⣾⣿⣿⠿⠋⠁⠀⠀⣀⣴⣿⡿⠛⠁⠀⠀⠀⣼⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣷⣤⣀⠀⠀⠀⠀⠈⠛⠆⠀⠀⠀⠈⠙⠻⣿⣿⣿⣶⣶⣶⣿⣿⡟⢿⣿⣄⣠⣤⣼⣥⣶⣿⣿⠿⠟⠋⠙⠿⠿⠿⠿⠻⠟⠛⠋⢉⣠⣴⣶⣶⣶⣾⣿⣿⣿⠋⠀⠀⠀⠀⠀⣰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣟⠛⠛⠛⠛⠛⠶⠶⣤⣀⠀⠀⠀⠉⠙⢻⡟⠿⠿⠿⣿⣾⣿⣿⡿⠻⠿⡟⠛⡉⠀⠀⣀⣤⣴⣦⣤⣤⣤⣤⣤⣴⣿⣿⠿⠟⠛⠋⠉⠁⣩⡿⠃⠀⠀⢀⣤⣶⣾⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣷⣶⣤⣀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠉⠳⣦⣀⠀⠈⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠛⠛⠻⣟⡛⠛⠛⠉⠀⣀⣤⣤⣤⣤⡴⠋⠀⢀⣠⣶⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⢿⣿⣿⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠶⣦⣤⣤⣤⣤⠤⣦⡶⠞⠋⠁⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠛⠋⠉⠀⠀⠀⠀⣀⣤⣴⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⣿⣿⣷⣦⣄⡀⠀⢀⠀⠀⡀⢀⢉⣐⢀⡀⢀⠈⠀⢀⠀⠀⡀⢀⣠⣤⣤⣤⣤⣴⣶⣶⣶⣶⣶⣿⣿⣿⣿⡿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠛⠛⠛⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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(*´∀`*)
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Texte-art Populaire
-ˋˏ ༻✿༺ ˎˊ-
✧・゚: *✧・゚:* *:・゚✧*:・゚✧
∧,,,∧ ( ̳• · • ̳) / づ♡
/)_/) (,,>.<) <(This is for you!) / >❤️
🌈🍡🪄🪃 ✏️ 🥕 🌂🖍
∧,,,∧ ( ̳• · • ̳) / づ♡ I love you
╔═.✵.══════════╗ ╚══════════.✵.═╝
╭══• ೋ•✧๑♡๑✧•ೋ •══╮ ╰══• ೋ•✧๑♡๑✧•ೋ •══╯
∧,,,∧ ~ ┏━━━━━━━━┓ ( ̳• · • ̳) ~ ♡ You’re purrfect ♡ / づ ~ ┗━━━━━━━━┛
へ ♡ ╱|、 ૮ - ՛ ) (` - 7 / ⁻ ៸| |、⁻〵 乀 (ˍ, ل ل じしˍ,)ノ
˚∧_∧ + —̳͟͞͞💗 ( •‿• )つ —̳͟͞͞ 💗 —̳͟͞͞💗 + (つ < —̳͟͞͞💗 | _つ + —̳͟͞͞💗 —̳͟͞͞💗 ˚ `し´
⠀⠀⠀⠀⣀⡤⢤⣄⠀⣠⡤⣤⡀⠀⠀⠀ ⠀⠀⢀⣴⢫⠞⠛⠾⠺⠟⠛⢦⢻⣆⠀⠀ ⠀⠀⣼⢇⣻⡀⠀⠀⠀⠀⠀⠀⢸⡇⢿⣆⠀ ⠀⢸⣯⢦⣽⣷⣄⡀⠀⢀⣴⣿⣳⣬⣿⠀ ⢠⡞⢩⣿⠋⠙⠳⣽⢾⣯⠛⠙⢹⣯⠘⣷ ⠀⠈⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣶⣦⠀⠀ ⠀⠀⣠⣤⣤⣄⣀⣾⣿⠟⠛⠻⢿⣷⠀ ⢰⣿⡿⠛⠙⠻⣿⣿⠁⠀⠀ ⠀⣶⢿⡇ ⢿⣿⣇⠀⠀⠀⠈⠏⠀⠀⠀ text here ⠀⠻⣿⣷⣦⣤⣀⠀⠀⠀ ⠀⣾⡿⠃⠀ ⠀⠀⠀⠀⠉⠉⠻⣿⣄⣴⣿⠟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠟⠁⠀⠀⠀
. 🌺🌺 🌺🌺 🌺🌺🌺🌺🌺🌺🌺 🌺🌺🌺🌺🌺🌺🌺 🌺🌺🌺🌺🌺🌺 Λ 🌺🌺🌺🌺🌺 ( ˘ ᵕ ˘ 🌺🌺🌺 ヽ つ\ / UU / 🎀 \
⠀⣠⣤⣶⣶⣦⣄⡀ ⠀⢀⣤⣴⣶⣶⣤⣀⠀ ⣼⣿⣿⣿⣿⣿⣿⣷⣤⣾⣿⣿⣿⣿⣿⣿⣧ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏ ⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀ ⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀ ⠀⠀⠀⠀⠀⠉⢿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Il y a beaucoup plus!
Nous avons tellement plus à offrir, car nous adorons tout ce qui a trait au texte!
Qu'en est-il des formes? Ou des personnages? Peut-être que vous voulez votre texte en miroir, ou peut-être à l'envers! Ou faites de belles vagues que vous pouvez utiliser comme lignes de séparation dans le texte.
Vous pouvez tout faire sur Messletters! Jetez un oeil à travers le menu principal sur la gauche. Ou sur mobile, cliquez sur le bouton de menu en haut à droite.
Si vous avez des suggestions ou des questions, vous pouvez nous contacter via la page de contact ou bien via Facebook, Twitter, Youtube, etc.
Messletters
Générateur de caractères élégant 😍 Texte, emoji et symboles!
Créez un texte stylé et agréable à copier et coller avec notre générateur de polices de fantaisie (˘ ³˘) 💕💯 Utilisez-le sur Instagram, Facebook, Whatsapp ou partout où vous le souhaitez!
Texte inversé
Texte sur la tête ou dans le sens inverse 🙃
Transformez votre texte à l'envers, le mettre à l'envers ou à rendre votre texte inversé et à l'envers dans le même temps! MAISON - ИOƧIAM - W∀IƧOИ - NOSI∀W
Texte Zalgo
Soulignement, surligné et barré texte décorations 〰️
Grâce à notre générateur simple, vous pouvez décorer votre texte avec soulignement, surlignage et d'autres formes. Vous pouvez les ajouter dans, sur ou à travers votre texte.
Texte empilé
Empilez deux textes les uns sur les autres 📚
Empilez deux textes les uns sur les autres sans utiliser l'espace de deux lignes. ᵇaͤnͨdͬcͤrͣeͭaͥtͮeͤ
Grand texte
Créez des textes énormes avec des caractères ASCII 🅰️
Impressionnez-les avec ces énormes lettres, également connu en tant que texte ASCII, en caractères du clavier ordinaires. Choisissez parmi plus de 100 modèles différents!
Émoticônes
Kaomoji japonais mignon et drôle et autres Émoticônes ( ˘ ³˘)❤
Insistez sur le fait que vous vous sentez avec notre texte émoticônes. Vous pouvez les utiliser sur Facebook, Instagram, Twitter ou où vous voulez!
Emoji
Copiez et collez des Emojis colorés partout! 🥰
Vous les connaissez depuis vos 💬 Messagerie et 👫 Social Apps, mais vous pouvez maintenant copier et coller vos Emoji préférés sur notre site Web et les utiliser où vous voulez! 😊
Symboles
Décorez votre texte avec nos symboles! ♡ ❀
Tous les symboles tels que des coeurs, des fleurs, des flèches, des objets et bien plus encore! Utilisez-les sur Facebook, Twitter, Instagram ou dans votre blog!
Art de texte
Tableaux de texte et des symboles ୭̥⋆*。
Art du texte, aussi appelé l'art ASCII, les images sont créées à partir du texte. Par exemple, vous pouvez les utiliser dans vos messages Facebook ou sur votre blog!
Caractères
Alphabets, symboles et signes étrangers 🌐
Une grande collection de caractères alphabétiques étrangers, tels que des lettres, des points, des tirets, des accents et plus.
Art de texte
Art de Texte est la création d'images de texte, aussi connu comme l'art ASCII. Vous pouvez l'utiliser sur Facebook ou Youtube, par exemple! ツ
Nous avons fait une collection de ceux que nous avons trouvés sur Internet.
Il ya beaucoup d'images texte de l'art se trouvent en ligne. Si vous avez trouvé un gentil ailleurs, n'hésitez pas à nous l'envoyer!
░░░░░░░░░░░░░░░░░░░░░░█████████░░░░░░░░░ ░░███████░░░░░░░░░░███▒▒▒▒▒▒▒▒███░░░░░░░ ░░█▒▒▒▒▒▒█░░░░░░░███▒▒▒▒▒▒▒▒▒▒▒▒▒███░░░░ ░░░█▒▒▒▒▒▒█░░░░██▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒██░░ ░░░░█▒▒▒▒▒█░░░██▒▒▒▒▒██▒▒▒▒▒▒██▒▒▒▒▒███░ ░░░░░█▒▒▒█░░░█▒▒▒▒▒▒████▒▒▒▒████▒▒▒▒▒▒██ ░░░█████████████▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒██ ░░░█▒▒▒▒▒▒▒▒▒▒▒▒█▒▒▒▒▒▒▒▒▒█▒▒▒▒▒▒▒▒▒▒▒██ ░██▒▒▒▒▒▒▒▒▒▒▒▒▒█▒▒▒██▒▒▒▒▒▒▒▒▒▒██▒▒▒▒██ ██▒▒▒███████████▒▒▒▒▒██▒▒▒▒▒▒▒▒██▒▒▒▒▒██ █▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█▒▒▒▒▒▒████████▒▒▒▒▒▒▒██ ██▒▒▒▒▒▒▒▒▒▒▒▒▒▒█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒██░ ░█▒▒▒███████████▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒██░░░ ░██▒▒▒▒▒▒▒▒▒▒████▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█░░░░░ ░░████████████░░░█████████████████░░░░░░
C'est tout à fait normal pour certains caractères apparaissent comme des carrés.
Vous voulez ajouter vos propres créations ou vous ne trouvez pas quelque chose ? Envoie-nous un message!
Aidez nous à améliorer!
Nous aimons les commentaires ! 😍 Faites-nous savoir si vous avez des suggestions !