Axolotl Destroying House Emojis & Text

Copy & Paste Axolotl Destroying House Emojis & Symbols ⠈⠈⠉⠁⠛⠯⣛⣤⡼⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇

⠈⠈⠉⠁⠛⠯⣛⣤⡼⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣼⠁⠀⢀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢸⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⠴⡪⢴⠇⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⡀⠀⠀⠀⠀⡀⡆⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠓⠉⠀⡞⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⡔⠢⢍⡒⠦⢄⡀⠀⠀⠀⠀⠀⠀⡀⠤⠒⢉⡠⠔⠂⠉⡇⠀⠀⠀⠀⠁⢳⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⠁⠀⢰⠁⠀⠀⠀⢀⡠⠤⠄⠐⠒⠒⠂⠚⠤⠧⣄⣀⠈⠑⠢⢌⡑⠂⢤⡤⠒⠉⣠⣲⡋⣁⣀⣀⠀⠀⠃⠀⠀⠀⠀⠀⠘⡀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡇⠀⢀⠇⠀⢀⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⡆⠀⡠⠜⢃⣀⡤⠚⠉⠀⠀⠀⠀⠀⠀⠉⠓⢤⣀⣀⠀⠀⠀⠀⣇⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡘⠀⠀⡜⠀⠀⢸⠉⠁⠀⠀⠐⠒⠒⠒⠒⠒⠂⠀⠈⠉⠉⠁⢻⣉⠠⡖⢻⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢌⢱⠀⠀⠀⢹⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠇⠀⢰⠁⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠈⣄⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠞⠤⡀⠀⠀⡆⠀⠀⠘⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡘⠀⠀⡏⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠋⡞⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠸⡀⢈⠀⠀⢳⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠇⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⡀⡇⠀⠴⢶⡈⠉⠉⠉⠉⠉⠉⠁⠒⠢⣌⡁⠀⠀⡇⡎⠀⠀⠈⡄⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⠀⢠⠇⠀⠀⠀⠀⠀⡀⠀⢰⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠉⠉⠒⠒⠆⠙⠢⣄⡀⠀⠀⠀⢀⡤⠚⠁⠈⠀⠀⣇⡽⠀⠀⠀⢧⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡇⠀⡸⠀⠀⠀⠀⣠⠤⡇⠀⠸⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠈⢹⡀⠀⠀⠀⠸⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⢀⠇⠀⠀⠀⢏⠈⢦⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠯⢴⡶⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⡇⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠓⠾⠤⠖⠒⠒⠊⢣⡈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡠⠼⠔⠒⢂⣿⣷⠀⣀⣀⣀⡀⣀⣀⡔⠒⠦⠤⠤⣄⣘⡀⠀⠀⢀⣹⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠹⢼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢀⣀⡤⠤⣾⡽⣿⡞⠁⠀⠀⠀⠈⢹⠤⠤⠤⢤⣀⠤⠐⠚⠉⠁⠀⠈⡄⠀⠀⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠓⠾⠿⠦⢤⡀⠀⠀⠀⢀⣀⠀⡀⣀⣀⡠⡴⠚⠋⣉⣀⣤⣖⠋⠤⢾⡤⠤⠤⠤⠤⠤⡼⠒⢶⣶⠋⠀⢀⣀⣀⠤⠤⠖⠚⣇⠀⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠚⣿⠉⠍⠉⠛⠮⠟⠛⠁⠉⠉⠓⠀⠉⠁⠀⠈⣤⠀⠀⠀⠉⠉⠉⠉⢁⢀⣋⠒⠲⡟⠀⢉⣉⣠⣤⣴⠒⠒⠈⢹⠀⠀⠀⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠋⠀⢀⡇⠀⢀⡀⠀⠀⡀⠀⠀⠀⠛⠀⠀⠀⠈⠀⠀⠀⠀⠀⢐⣄⠀⠂⠀⠈⠛⠚⠃⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢳⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠲⢤⣼⡄⢤⠴⠒⠉

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⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡤⠤⠤⠤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢴⠋⠙⠳⣤⡀⣠⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠉⠓⠤⡀⣠⡴⠟⠛⣷⠀⠀ ⠀⠀⠈⠳⢤⣀⢈⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢏⣀⣠⡴⠋⠀⠀ ⢀⣠⣤⣄⣄⣉⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⣡⣤⡴⣦⣀ ⢹⣅⡀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠁⠀⢀⣠⠏ ⠀⠈⠙⠉⢋⣉⣇⠀⠀⣾⣷⠄⠀⠀⠀⠀⠀⠀⠀⢴⣿⡆⠀⢀⣿⡙⠋⠋⠀⠀ ⠀⠀⢤⠶⠋⠉⢈⣦⡀⠈⠉⠀⠀⠀⠉⠉⠉⠀⠀⠀⠉⠀⣠⣎⠈⠉⠛⢷⡀⠀ ⠀⠀⠻⣤⣤⠶⠋⠀⠈⠑⠠⠄⣀⣀⣀⣀⣀⣀⡀⠤⠐⠉⠀⠈⠻⠶⠖⠶⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠤⡀⠀⡠⠤⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠉⠁⠀⠉⠉⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢀⠤⡀⠀⡠⢄⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠢⣀⣀⣀⣈⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⡇⠀⣎⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⡇⣸⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣤⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⣿⡄⠀⠀⣠⣾⡇⠀⠀⠀⠀⠀⠀⢀⡀⣠⣶⣶⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⣿⠃⠀⢰⣿⡿⠃⠀⠀⠀⠀⢀⣴⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣷⠂⠀⣿⣿⠅⠀⠀⠀⠀⢀⣾⣿⣿⣗⡀⣀⣀⢀⣠⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣯⡄⢸⡿⢋⣠⣤⣶⡾⢡⣿⣿⣿⡟⣭⣶⢋⣴⠟⠵⢋⣡⣴⣾⣿⣿⣿⣷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠀⠀⢸⣿⣿⠀⣫⣶⣿⠿⠛⢉⣴⣿⣿⣿⣭⡄⠀⣴⣿⣿⠉⢠⣿⡿⠉⠀⠀⣀⣀⣀⠉⠻⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⣷⣄⢟⣥⣾⡿⠋⢁⣠⣴⣿⣿⡿⠟⠋⣁⣴⣾⣿⣿⠥⠀⢻⣿⣧⠀⠀⣾⠟⠛⠻⣷⡄⠘⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⠒⢛⡟⣡⣾⣿⠋⢀⣼⠟⠋⠡⠤⠶⣶⣶⣿⣿⣿⣿⠿⠏⣥⣀⠈⠻⣿⣧⣀⠈⠓⠀⠀⣹⡷⠀⢸⣿⣿⣧⢱⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢉⣼⣿⣿⡇⠀⣾⠃⣠⣾⠿⢿⣶⣤⠉⣉⣉⣩⣤⣭⣭⣿⣯⡳⢄⡈⠛⠻⠷⢶⣶⡶⠟⠁⢀⣿⣿⣿⣿⡄⣿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣾⣿⣿⣿⣧⠀⢿⠀⢻⣿⠄⠀⣿⣿⣷⠈⠙⠛⠛⠛⡩⠭⡝⠻⢠⣿⣦⣄⣀⠀⠀⢀⣀⣴⣿⣿⣿⣿⣿⠃⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⣸⣿⣿⣿⠟⢿⣧⣄⠁⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⣇⠒⠁⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⢠⡙⠆⠀⠀⠀⠀⠀⠀ ⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠻⣷⣶⣿⡇⠹⠿⠿⠿⠿⣿⣿⠿⠿⠿⠛⠉⠀⠤⣀⡀⢹⣦⠀⠀⠀⠀⠀⠀ ⢸⣿⣽⣿⣿⠿⣻⣿⣿⣿⡿⠟⠛⠉⠀⠀⠀⠀⣀⣀⣀⣦⣀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣿⡇⠀⠀⠀⣉⠻⣿⣧⠀⠀⠀⠀⠀ ⠀⠉⠉⠩⠴⠾⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣿⢿⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡇⠀⠀⠀⣿⣧⢸⣿⣦⣀⣀⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⢠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⠇⠀⠀⢠⣿⣿⠈⢿⡛⠻⣯⣙⠓ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⠟⠀⠀⠀⣼⣿⣿⡇⠸⡇⠀⠀⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡿⠋⠀⠀⠀⣴⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⡿⠟⠉⠀⠀⢀⣠⣾⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠟⠉⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠟⠁⠀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠁⢀⣤⣾⣿⣿⣿⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⢁⣴⣿⣿⣿⣿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⣿⣿⠿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⣀⣤⠶⠞⠛⠉⠉⠉⠙⠛⠲⠶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⠿⠟⠙⠿⠛⣷⣀⣴⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣦⡀⢀⣤⣤⡶⣦⣤⡀⠀⠀⠀ ⠀⠀⠀⢠⣿⠂⠀⠀⠀⢀⣾⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⠉⠉⠀⠀⢸⡇⠀⠀⠀ ⠀⠀⠀⠈⠛⣶⠀⠀⢠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⡀⠀⢠⣴⠟⠀⠀⠀ ⠀⠀⢀⡀⣀⣼⣛⢲⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⢶⣶⣧⣀⣀⠀⠀ ⢠⣴⣿⠉⠛⠀⠉⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣟⠁⠘⠋⠹⢷⡄ ⠸⣷⡄⠀⠀⠀⢰⡟⠀⠀⠀⠀⠀⣰⣶⣄⠀⠀⣀⠀⠀⡀⠀⢀⡀⠀⢰⣿⣷⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⣾⠃ ⠀⠛⠿⣷⣀⣀⣼⣇⠀⠀⠀⠄⣀⠻⡿⠋⠀⠀⠻⣦⡾⠻⠶⠾⠃⠀⠈⠛⠛⡀⠀⠉⠳⠄⣿⣦⣄⣽⠟⠋⠀ ⠀⠀⠀⣈⣽⡟⠳⣿⡀⣇⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⣀⠀⣠⢀⡿⠺⢿⣅⣀⠀⠀ ⠀⠀⣸⣯⠉⠁⠀⠸⣧⠘⠶⠴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢁⣾⠃⠀⠈⢩⣿⡀⠀ ⠀⠀⠿⣶⡀⣤⠀⢀⡿⣷⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⢿⣇⢀⣰⡆⣼⡾⠏⠀ ⠀⠀⠀⠘⠛⠛⠷⠛⢹⡏⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⡟⣿⡷⠟⠛⠛⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⠶⢶⠟⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡾⡟⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⠷⣦⣀⣰⡀⢠⡿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠷⣦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⢷⣤⣀⣠⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣟⣁⣴⠟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠉⠉⠛⠛⠓⠶⠶⠶⠶⠖⠛⠛⠉⠁⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣀⣀⠀⣀⣠⡴⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⠁⠈⠻⣯⠏⠀⠀⠘⡗⢶⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣽⡀⠀⠀⢸⡄⠀⠀⣠⡷⠚⠉⠉⣟⡷⢦⡄⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⣅⣈⣿⣄⡐⣾⣷⣧⣼⣋⠄⠀⢀⡴⢯⠙⢶⣽⡆⠀⠀⣀⣀⣴⠋⠀⢹⣤⣤⡀⠀⠀⠀⠀ ⠀⠀⢠⠞⠉⠀⢤⣭⣿⣿⣿⣿⣿⣷⣖⠛⠛⢦⡾⠶⠼⣌⡿⠒⠶⢿⣟⣇⢰⣴⡏⡀⢨⡗⠋⠉⢹⡄ ⠀⠀⢧⣀⣀⣠⣤⣼⣿⣿⣿⣿⣿⣧⡀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⡛⢷⣾⣴⣂⣤⣞⠀ ⠀⢠⣾⣿⣴⠏⠐⢋⡿⣿⣿⢿⠀⢹⡍⢻⠲⠶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⠼⣿⡥⠄⠀⢈⡷ ⢠⣿⣿⠉⣿⠀⢀⡾⠑⠋⢇⠈⠀⢸⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⣼⢷⣶⡖⠻⣄ ⠘⣿⠘⣄⣸⡷⣿⣧⠀⠀⢸⣆⣀⡼⠙⠿⠶⠶⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣾⡖⢉⣼⢧⣀⠀⢹ ⠀⠙⢦⡞⠉⠀⣷⡾⢦⣠⣾⡿⣿⠁⠀⠈⠀⠀⠀⠐⠦⠤⠤⢤⡀⠀⠀⢠⣿⣧⠈⣿⣟⠛⠈⡏⠉⠉ ⠀⠀⠀⠀⠀⠀⠙⠧⣾⣀⡽⠾⣏⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠀⠈⠿⠟⢠⡏⣹⠓⠚⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⢨⡏⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠈⠙⠒⠂⠀⠀⢤⣀⣀⣀⣤⠤⣶⣿⠟⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣀⡞⠁⠀⠀⣴⠀⠀⢻⣆⠀⠀⠈⢳⣴⡿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠀⠀⠀⡼⠁⠀⢀⠀⠙⢿⠢⡄⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⠈⠀⠀⠀⠷⣤⡏⠙⠆⠀⢸⡇⠸⣆⠀⢀⣠⠤⠤⣄⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡛⠁⠀⣀⣀⣀⣠⡿⠦⠤⠴⣾⡁⠀⠈⠉⠁⠀⢀⡀⠀⠉⠢⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠚⣿⡟⠁⢹⠀⠀⠀⠀⠀⠉⠓⠲⠒⠚⠉⠉⠉⠙⢦⡀⢱ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⡄⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠒⠒⠢⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠙⠦⣈⡳⣤⣀⣀⣀⣀⡴⢞⡯⠖⠚⠙⠲⣄⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠉⠁⠉⠉⣉⡥⠞⠉⠀⠀⠀⠀⠀⠸⡆⡾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠒⠒⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠠⠔⠒⠂⠀⠉⠀⠀⠉⠀⠒⠒⠤⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠊⠉⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠑⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠔⠉⠀⠀⢀⡠⠔⢊⣉⣉⣀⠤⠤⠤⠠⠄⣀⡀⠉⠉⠙⠋⠢⢄⡈⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠞⠁⠀⠀⠀⠀⠫⠔⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠤⡀⠀⠀⠀⠈⠒⢄⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⣀⣀⠀⠤⠤⠀⠒⠒⠒⠒⠢⠤⠤⢀⣀⠀⠈⢆⠀⠀⠀⠀⠀⠉⠊⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⠁⠀⢀⡠⠤⠒⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠦⣣⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠒⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢄⡀⠀⠀⣀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡤⠀⠑⠊⠉⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⠖⠢⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡁⢀⠀⠀⡴⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀ ⠀⠀⡧⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠆⡠⡧⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠈⢢⡤⠒⠲⡀ ⠀⠀⢧⠀⠀⠀⠀⠣⡀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⡢⠀⠀⠀⠠⡞⠁ ⠀⠀⠘⢇⠀⠀⠀⠀⠈⠢⣀⠤⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠒⠭⣒⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠠⡁⠀⡼⠦⣀⠔⠀ ⡜⡁⠉⠢⡑⢄⡀⠀⢀⠔⠁⠀⢠⣾⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢎⠢⡀⠀⠀⠀⠀⠀⢀⠜⠀⠀⢈⡉⠀⠀⠀⠀⠀ ⢧⠇⠀⠀⠈⠓⠽⣶⠏⠀⠀⠀⠸⢿⣿⠟⠁⠀⠀⠀⠀⠀⠀⣴⣿⣿⣧⠀⠀⠱⡘⡄⠀⠀⣀⣴⠯⠒⠒⠉⠁⠈⢣⠀⠀⠀⠀ ⠈⠳⢄⣀⠀⠀⠀⡎⢀⠔⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⠿⠟⠀⠀⠀⠸⡉⠉⠉⠀⠀⠀⠀⠀⠀⠀⢀⡜⠀⠀⠀⠀ ⠀⡠⠤⠤⠭⠭⢴⡇⠘⣄⠘⠒⠒⠒⣉⣉⣉⣉⡉⠑⠒⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⣀⡴⠊⠀⠀⠀⠀⠀ ⠀⣇⠀⠀⠀⠀⠀⢇⠀⠈⠁⠉⠉⠉⠀⠀⠀⠀⠈⠉⠑⠢⣌⠓⠤⡀⠀⡘⠱⡄⠀⡿⠷⠶⠶⠶⠶⠿⠭⢅⣀⠀⠀⠀⠀⠀⠀ ⠀⠈⠑⠒⠒⠒⠒⠉⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠢⣌⣉⣀⠜⠀⢰⡁⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀ ⠀⡠⠤⣀⠀⣠⠔⠊⢄⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠛⠫⢗⡢⠤⠤⠤⠤⠤⠚⠁⠀⠀⠀⠀⠀⠀ ⠀⣣⡀⠈⠋⠀⠀⢀⣈⠦⠒⠑⠢⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠄⢻⣆⠀⠀⠀⠈⠒⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡁⣀⡀⠀⡖⠊⠁⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠱⡀⠒⠀⢇⠑⠢⠤⠤⠤⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⠘⢄⡠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡀⠀⠈⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⡀⠀⣀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠚⢄⣀⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣠⣴⣶⣾⢷⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⣾⣶⣶⣦⣀⠀ ⣴⣾⣿⢫⠳⡜⣎⠶⣩⢝⡻⢿⣦⣄⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⣠⣴⡿⣛⡝⢦⡓⢶⣘⢦⡛⢿⣦ ⠘⣿⣯⢗⣫⠳⣜⢣⡓⢮⡜⣣⠝⣻⣷⣄⣠⣴⡾⠟⠛⠉⠉⠈⠁⠉⢈⠉⠛⠻⢿⣦⣀⣠⣾⢟⡣⢇⡳⣜⢣⡝⢦⡛⢦⣝⣹⣿ ⠀⠈⠻⢿⣶⣽⣬⣧⣙⣦⡓⣥⢛⡴⣩⣿⠻⠀⠀⠠⠐⠈⠄⡁⠐⠈⠄⢠⠂⠄⡀⠬⠿⢿⣇⢮⡱⣋⢶⣩⣖⣹⣦⣽⣷⡾⠟⠁ ⠀⠀⠀⠀⠀⠉⣉⣙⣹⣛⠻⢷⣿⣾⣿⠿⠶⢾⣶⣧⣄⠃⡐⢀⠂⡁⠢⠠⢜⣶⠞⠷⣶⣧⡹⢷⣷⣿⣟⣻⣿⣏⡉⠉⠀⠀⠀⠀ ⠀⠀⠀⣤⣶⠿⡟⢿⡛⠿⢿⣿⢿⣿⡏⠀⢀⣼⣿⣿⡏⠠⠐⡀⠂⡄⠑⡀⢻⣇⡈⢀⣼⣿⣿⣌⢿⣿⢻⡛⣟⠻⠿⣿⣶⣄⠀⠀ ⠀⠀⢼⣟⣣⢛⡜⣣⢍⡻⣼⡿⠘⣿⣿⣶⣿⣿⣿⠏⢰⡆⢁⠐⠡⢀⠁⢶⡅⠻⣿⣿⣿⣿⣿⣿⠊⣿⣦⠹⣌⢏⡳⢆⡻⣿⡆⠀ ⠀⠀⠺⣿⣴⣫⣼⣷⠾⣿⣿⡇⡘⣍⠛⡛⢛⠋⡔⠠⠙⢷⣤⡼⠷⣦⣬⡾⠃⠰⡌⠛⡛⠛⢛⠳⡀⢼⣿⣿⢾⣮⣵⣯⣶⣿⠟⠀ ⠀⠀⠀⠈⠉⠉⢉⣴⣾⠿⣛⣷⠐⡌⢆⠥⢎⠲⢁⢂⠡⡀⠄⡐⠠⢀⠡⡀⢌⡐⠬⡑⢆⢧⠨⠓⡐⣾⡟⣿⣶⣌⠉⠉⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⡿⣍⠞⣥⣿⣧⡐⠌⡒⠌⠦⣁⠎⡰⢁⠎⠰⡁⢎⡐⢡⠂⡜⠰⡈⢆⠢⣁⢃⣾⣿⡜⢦⡛⣿⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣷⣮⠿⣿⣯⣿⣿⠷⣬⣜⡐⠤⢊⠔⡡⢊⠱⢈⠆⡘⢄⠣⠌⡑⢌⣰⣦⣾⣿⣿⣽⡿⠷⣽⣾⡿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢻⣇⠀⠀⠠⠉⣿⠠⣉⠹⣿⣶⣥⣶⣤⣡⣊⣔⣨⣴⣬⣴⣵⣾⣿⠉⡔⢸⡏⠉⢀⠀⠀⣼⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢈⣿⠀⠈⡅⠂⣿⡇⣀⢺⡿⡍⢉⠡⣉⠙⣉⠋⡍⣉⢉⡉⡉⢜⣿⡖⡈⢾⡇⣁⠂⠌⢀⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣿⡆⠀⣁⠒⣸⣇⠤⢸⣷⡈⢆⠓⡄⢣⡐⢃⠲⣐⠊⡔⢉⠆⣿⠠⡁⢿⡃⠤⡘⠠⢸⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⠀⠠⠒⡠⣿⠀⠄⣿⣷⠈⡜⣈⠆⡌⢣⠱⢠⠃⡔⢡⢚⣿⠀⡐⣿⡁⠢⣁⠂⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀⠐⡡⢹⣟⡧⣬⣙⣿⡆⠔⡡⠚⡌⢆⡃⠧⡘⢀⢲⣿⢡⣤⢿⣿⡇⢡⠠⢤⣿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⢡⠐⣉⠙⡛⠾⠛⡋⠜⣨⠑⣣⠘⢆⠥⢣⡑⠨⠄⠛⠛⠷⢛⢋⠡⢂⠼⣸⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠠⡙⢄⡊⠔⣁⠣⢌⡱⢂⡍⢤⢋⡌⡚⠤⡌⡱⢨⠡⡉⢆⡡⢊⠔⡩⣘⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⣿⣇⠘⡤⡑⢪⠄⢣⠌⡒⢥⡘⠆⢎⠴⡉⢖⠡⢒⠡⣃⠜⠤⢒⡉⠦⡑⢼⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣴⠞⠛⠉⠉⠉⣿⡐⢢⠑⢣⡘⡡⢊⡕⢢⢌⡹⣈⠦⡙⢤⠋⡬⢑⡐⣊⠱⢊⠴⠡⢌⣿⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠎⡐⠈⢂⠰⠀⠈⠻⢷⣬⣁⠆⡅⢣⠘⢆⠦⣑⢢⠒⡍⢢⠓⡐⢣⠘⡄⢃⢎⣤⡷⠟⠁⢉⣷⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠷⣭⣶⣭⣤⣤⣤⣐⠢⢌⢛⠻⢶⣧⣾⣤⣶⣐⣊⣱⣨⣁⣎⣘⣤⡷⠾⠞⡛⠁⢀⠴⡈⠆⣌⠙⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠙⠻⠾⣮⣷⡶⢛⠚⡳⢛⡟⣛⠛⣛⠛⡛⢙⣻⢷⣯⣾⣤⡶⠟⣾⣷⣽⣶⡿⠛⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠙⢦⠈⠀⠙⣆⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⣿⠀⠀⢸⠀⠀⢠⡇⠀⠳⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠘⣿⡀⠀⣼⠀⡴⠋⠻⡏⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣤⣤⣀⣸⣇⠀⢸⣷⠞⢷⣾⡅⠀⢠⡗⠀⡼⠛⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣤⡀⠀⣀⠀⠀⠀⠀⠀⣀⣴⠖⠋⠉⠁⠀⠀⠀⠀⠀⠀⠉⠛⢦⣿⡏⣷⣸⣿⠂⢀⣼⡷⠎⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⡞⠳⣄⡇⠀⢱⡄⠉⢷⡀⠀⣴⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⣿⣧⣾⣧⣄⣦⣾⢿⣳⣶⣺⣍⣀⣀⠀⣀⣀⠀⢀⠀⠀⠀ ⠀⠸⣇⠀⠘⣧⡀⠀⣧⠀⠀⣧⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⣄⠀⠀⠀⠹⠿⢿⣿⣟⣻⡾⠁⠀⣽⠋⠀⢸⠋⠁⠀⠀⠀⠀⠀⠂ ⢠⡶⠾⠧⣄⣈⣷⣷⣈⣷⣤⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣏⣻⣿⣄⠐⠖⣶⣿⣷⣿⡿⠁⢤⣾⠃⢀⡴⠿⢾⠉⠉⡿⠁⠀⡠⠂ ⠈⢧⡤⢤⣤⡖⠻⣯⡟⢿⣿⣲⣷⠀⠀⠀⢀⣤⣤⣤⠤⠾⠛⠀⠀⠀⠉⠅⠘⠀⠀⠀⠈⠙⣛⣿⣷⣾⡿⠿⠍⢁⣀⣠⠏⠀⡾⠁⠀⡄⠀⠀ ⠀⠘⣇⠀⠙⢷⡠⠾⣗⢸⣿⡿⢿⡆⠠⠴⠞⠷⠿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣉⠘⠙⢷⣄⠐⣾⠀⠀⠀⢰⠃⠀⠀⡁⠀⠀ ⠀⡤⠞⠳⠦⠈⣳⣄⣹⣾⣿⠻⠾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⣿⠳⢦⣄⣀⠀⢀⡾⠃⠙⡷⢶⠾⠉⠉⠁⠀⠀⠀⢸⡀⠀⠀⣇⠀⠀ ⠀⠳⣄⣀⣠⠼⠻⣯⡛⢻⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⡈⠇⠀⠈⠛⠛⠟⠓⠒⠺⢷⣤⡀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⢸⠀⠀ ⠀⠀⢰⠎⠻⢦⣄⣈⣹⣿⣿⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠒⠶⢤⡀⠀⠀⣿⠀⠀⢸⡇⠀ ⠀⠀⠈⠓⠢⡔⠋⢹⠋⢀⣉⣮⡏⠛⣶⣤⣄⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣬⠇⠀⣸⠇⠀⠀⣸⠁⠀ ⠀⠀⠀⠀⠀⠁⠀⠘⠶⠞⠉⠋⠀⠸⣯⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠞⢉⣠⡴⠚⠉⠀⠀⣰⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠦⠤⠤⠤⠤⢤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡏⠉⠉⠉⠀⠀⠀⠀⣠⡼⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠳⢤⣤⣀⠀⠀⠀⠀⠀⠀⣋⣀⣙⣷⠦⠤⠤⠴⠶⠛⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠲⠶⠖⠚⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠐⡄⠰⠤⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠹⣀⣆⠚⠂⢱⡀⠀⠀⠀⠀ ⢀⢀⡄⡀⢄⠀⡠⠔⠊⠉⠉⠉⠉⢲⣷⡿⣠⣗⣡⠂⠀⠀⠀⠀ ⡘⣈⢣⡰⣈⠎⠀⠀⠀⠀⠀⢿⣦⡀⢙⣟⣽⢁⡜⡠⡨⢤⠀⡀ ⢱⠒⡏⢯⣿⢷⢀⠴⡶⠊⠁⠀⠀⠁⠀⢹⠛⢏⢫⠐⠁⠃⠀⠀ ⠂⣁⠼⣾⣿⠉⠀⠀⠀⠀⠀⢎⠍⠒⠴⠧⠯⡈⠉⠀⠀⡄⢰⠀ ⠀⠣⠕⡞⣹⡗⣤⠄⠀⠀⠀⠀⠁⠀⠀⠀⠀⠈⢉⡵⢠⠃⢸⠀ ⠀⠀⠀⠈⠀⠀⠑⠀⠤⠤⠤⢄⠀⠀⠀⠀⠠⢞⡓⠈⣀⠄⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠒⠒⠈⠉⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠡⡀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣄⠳⡜⣘⠤⢳⡘⡔⢣⡇⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠰⢂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⠤⠠⠤⠔⠊⠉⠀⠀⠀⠈⠑⠢⡀⠀⠀⠀⠀⠀⠀⠘⣦⢓⡜⢤⢋⠦⡱⠌⡟⠀⠀⠀⠀⠀⣠⠞⢛⡩⠤⣙⠧⣄⠀⠀⠀⠀⡠⠉⠀⠀⢀⡀⠀⠀ ⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣂⠀⠀⠀⠀⠀⠀⠈⠲⢘⣦⣍⡒⠅⠋⠀⠀⠀⠀⠀⣰⠿⣨⠗⡠⢃⠌⢓⡸⡅⠀⠀⣰⠁⠀⠀⠀⣖⢨⠆⠀ ⠤⢀⠑⢚⠠⠊⠁⠉⢢⡀⢀⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⢘⠣⡘⢄⠣⡘⢸⣿⡃⠀⠀⠹⡂⠀⠀⠀⠈⠁⠀⡀ ⠀⠀⠉⠁⠀⠀⠀⢀⡴⠺⡯⣈⠹⠗⢲⡄⠀⠀⠀⠀⢀⡤⣤⠀⠀⠀⠈⢀⣀⣄⣤⠴⠦⠴⠤⢤⠴⠤⢦⣄⣀⠀⠀⢾⣉⡿⢠⠑⡌⠰⡁⢾⢃⢸⠃⠀⠀⠑⢤⠀⣀⠀⣀⠔⠁ ⠀⢀⠀⠀⠀⠀⢀⣾⣅⣲⠡⣉⠑⢮⡾⠥⢤⡀⠀⠀⠀⠛⠁⣀⣤⠶⠛⡋⠩⢄⠂⢆⠱⣈⠱⡈⢆⠩⡐⠤⣉⠛⢶⣴⡟⣿⢀⠣⠌⡑⢨⠖⣸⠟⠁⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀ ⡸⢩⠲⡄⠀⠀⣿⠠⢩⡇⠒⠤⡉⠤⡘⢲⡘⠛⣦⠀⢀⡴⠞⢩⠐⡌⡑⢌⠱⡈⠜⡠⢃⠄⢣⠐⡌⢢⠑⠢⢄⡉⠆⡉⡙⠯⣄⠣⡘⢰⠯⢡⣼⠇⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀ ⣡⠣⡙⡄⠀⠀⠉⡿⢃⣇⢉⠆⡑⢢⠑⠤⠙⢣⣛⡲⢋⠰⡈⢆⠱⢠⠑⡌⢂⠱⡈⠔⡡⢊⠄⢣⠘⡄⣉⠒⠤⡘⠤⡑⢌⠰⠙⠲⢶⡛⣦⡽⠃⣠⣤⠜⢋⠉⢳⡤⠶⣄⠀⠀⠀ ⡴⠃⠁⠀⠀⠀⠈⢷⣂⡼⢦⡘⠄⢣⠘⠤⣹⣦⡸⢅⠢⡑⢌⠰⡈⢆⠡⡘⢄⠣⡘⠤⡑⢌⡘⠄⢣⠐⠤⡉⢆⠑⢢⠘⡄⠣⡉⢆⡉⣷⠴⠴⢊⠡⢌⠣⢌⡘⠤⠱⣦⠙⢦⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠛⡇⡀⢻⡜⣀⠛⠤⠀⣼⠃⡜⢠⠃⠜⡠⢃⡘⢄⠣⢘⠠⢃⠤⡘⢠⠘⡸⢀⠛⡄⢣⠘⡸⢀⠇⡘⠣⠠⢄⡘⢃⠜⡠⢃⠜⡠⠘⡄⠸⡀⢇⢸⡟⢸⠀⠀ ⢦⠁⠀⠀⠀⠀⠀⠀⠀⠙⠒⢻⣀⡽⣍⣻⣝⠣⢘⠠⢃⠜⡠⢑⠢⢌⢂⠱⡈⢆⠡⠒⢌⢂⠱⣀⠣⡘⡐⠢⡑⢄⢳⠾⡷⢌⡑⠺⠟⡨⣶⠡⢌⠢⣁⠣⠌⡑⢈⠤⡋⢸⠋⠀⢀ ⡌⢣⠀⠀⠀⠀⢀⣤⣤⣤⣤⣄⣩⣤⣠⢤⡎⠰⣁⣪⣔⠨⡐⢡⠊⡔⡈⢆⠱⡈⢆⡉⠆⡌⠒⠤⡑⠤⣁⠣⣼⣴⣯⣍⠲⣦⡈⠅⣿⠷⣯⣿⠐⢲⠶⠶⡎⢙⠉⣶⡤⠟⠀⠀⠎ ⢸⠡⡆⠀⠀⢀⡿⢀⣐⢤⡄⢚⠳⣖⡣⢦⡔⢡⠘⠏⣉⣔⣡⣂⠱⢠⠑⡌⢒⠨⡐⠌⡒⢨⠑⢢⢁⠒⠤⣿⣿⣿⣿⣿⡦⠸⠟⡔⣠⠂⣿⠽⢟⡿⢧⡔⠻⠦⠚⠁⠀⠀⠀⠀⡀ ⠥⠣⠁⠀⢸⢋⢩⡜⡁⢆⠰⣈⠒⣸⣿⢼⡁⠆⣩⡾⢯⣼⣿⣿⣶⣁⠎⠰⡈⢆⠱⡈⠔⡡⢊⠔⡨⢘⡘⣿⡟⠛⡿⠟⠓⣰⠃⡇⠿⢇⣿⠠⡉⠔⡸⢉⣱⣄⡀⠀⠀⠀⠀⠀⡇ ⠐⠁⠀⠀⠈⢧⡮⣇⠘⡄⠣⢄⠻⣇⠢⢹⡆⢭⠻⡥⢼⣿⣿⣿⣿⣿⡌⡑⠌⣄⠃⡜⢠⠑⣰⡾⢆⠡⢌⡙⢎⡒⠓⠒⠊⢁⠔⡋⠔⣺⠧⣂⠱⡈⠔⡡⢈⠌⡉⢷⠀⢀⣀⡠⠃ ⠀⠀⠀⠀⠀⠘⣄⣨⡗⡒⢗⡪⠉⡶⠥⣞⣷⡈⣇⠘⢄⣈⠟⣁⡠⡿⠑⡌⠒⠿⡴⠖⡓⠞⣊⠱⢈⠒⠤⡘⢠⠉⡄⠢⢌⠡⢊⠔⢡⠟⠸⣋⠑⢦⢑⣄⡣⠘⣠⠝⢠⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠂⠒⠉⣉⣱⢚⡩⠘⢷⡈⠲⠄⣀⣈⡠⠎⢡⠘⠤⣉⠒⢌⠢⡑⠌⡄⠣⢌⡘⠤⢑⠢⡑⢨⠑⡌⢢⠡⣘⠋⠀⠀⠉⠚⢥⣈⣰⠷⠔⠃⢰⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⢡⠜⡁⢆⠱⠈⡻⣧⠘⡰⢐⠰⡈⢆⠩⡐⠤⣉⠢⠑⡌⢒⠨⡑⢂⠌⢢⠁⢆⡑⢢⠁⣢⡵⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⢻⣆⠛⣄⠱⣈⠴⠋⢄⡗⠫⣄⠃⢆⠱⡈⢆⠑⠢⢄⠣⡑⢌⠢⡑⢌⠢⡘⣄⡩⢶⠚⢙⢛⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⠀⠀ ⠀⢀⡔⠯⡡⢆⠽⢦⡀⠀⠀⢸⡡⠐⣢⠿⠼⠋⣉⡀⠀⠀⠙⠒⠴⠬⣀⣍⣒⣌⡔⠥⠞⠷⠟⡠⢁⣡⠦⢒⠩⢛⠢⡌⢹⣄⠀⠀⠀⠀⠀⠀⠀⢀⡠⢄⡀⠀⠀⠀⠀⠀⢀⡇⠀ ⠀⡎⡬⢣⡑⣮⠘⣆⠻⡄⠀⠀⠈⠉⠁⠀⡰⠉⠤⣩⡀⠀⠀⠀⠀⠀⠀⠀⠀⡜⡐⠬⣂⠱⡈⢤⡟⢁⠒⡌⢲⣗⠸⣟⡄⢻⡆⠀⠀⠀⠀⠀⢠⠇⠀⠀⠹⣄⠀⠀⠀⠀⡰⠁⠀ ⢠⠱⣌⠣⠼⣯⣹⢄⡓⠷⠀⠀⠀⠀⢀⡼⢁⣹⣷⠸⣁⠀⠀⠀⠀⠀⠀⠀⣰⠱⣀⠣⠬⣇⠘⡌⠧⣷⣄⠮⠛⢄⠃⠿⠟⢠⢻⡄⠀⠀⠀⠀⢸⠁⠀⠀⠀⠈⠁⠒⠒⠉⠀⠀⠀ ⡥⢓⡌⢣⠓⣤⢉⡆⡽⠛⠀⠀⠀⠀⡼⢁⢲⣣⡯⢠⠙⢦⠀⠀⠀⠀⠀⠀⣎⠕⣸⡂⣗⡞⢃⠜⠰⣈⢡⣬⠷⠬⣎⡔⠩⡐⠢⣷⠀⠀⠀⠀⢸⠆⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀ ⡕⢣⡜⣡⢋⠴⡜⠁⠀⠀⠀⠀⠀⡼⠑⢶⡶⠐⣯⢐⡌⣸⠆⠀⠀⠀⠀⠀⣟⠰⣠⡛⣥⣀⠣⢌⡑⢤⣟⠡⡘⠰⡈⠝⡃⢌⡑⢼⣆⠀⠀⠀⠀⢶⠀⠀⠀⠀⠀⠸⢏⠗⠀⠀⠀ ⡜⡡⢖⡡⢎⡜⠀⢀⡀⠀⠀⠀⣸⠃⣽⢺⡇⢡⢻⣸⠇⣸⠀⠀⠀⠀⠀⠀⣧⣾⢁⠒⣈⣷⣴⡠⣼⡾⠿⢠⢁⢳⣾⡄⡑⠢⢌⢸⡇⣂⠀⠀⠀⠈⠳⢤⡀⠀⣀⢀⠀⠀⠀⠀⠀ ⡜⡱⢊⡔⢻⣇⠀⠣⡼⠃⠀⠈⡟⡰⠩⢷⡌⢢⠘⣷⣙⡌⠳⣄⠀⠀⠀⠀⠹⣖⠈⠆⣿⠏⣹⡷⣿⡀⢆⠡⡬⠞⠙⢆⠡⢃⠌⣼⡇⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⠀⠀⠀⠀ ⡜⣡⠓⣌⠣⡌⢢⡀⠀⠀⠀⠀⢿⡰⢃⢻⡄⢃⠆⡙⢾⣁⠒⡨⠘⣆⠀⠀⠀⠹⣼⡐⠂⣆⡿⢠⢉⡑⢊⠌⡡⠌⡱⢈⢆⣡⠎⣼⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀ ⡜⣤⠋⡔⢣⡜⢡⠙⣦⠀⠀⠀⠘⣷⠈⢹⡇⡌⢢⠑⠈⢻⣦⢳⣥⡌⠒⡄⠓⢨⣿⢻⡟⠋⡄⠂⡆⠘⡄⠊⡔⢡⠂⣥⣮⡟⢱⡏⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀ ⡱⢌⣣⠑⡎⣴⣉⢖⡸⠆⠀⠀⠀⠙⣧⠂⢿⡐⠌⢢⠉⠤⣈⠡⢛⠛⡁⢙⠛⡉⢄⠢⡐⢢⠑⡌⠰⢡⠘⠤⡑⠌⡒⣌⣏⢛⡿⢉⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀ ⡑⢮⠰⣩⢸⡿⡿⢢⠹⡇⠀⠀⠀⠀⠈⣟⠺⣥⠊⠤⣉⠒⡄⠣⢌⠢⡑⢌⠢⡑⢌⠢⢑⠂⠥⣈⠑⢢⢉⠒⢌⠢⠑⣌⣹⢏⠰⣈⠇⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠋⠀⠀⠀⠀⠀ ⠘⢎⡑⢆⡣⢜⡰⢃⡼⠁⠀⠀⠀⠀⠀⣾⠠⡉⢷⡒⢠⢃⣘⠰⡈⢆⠡⢂⠱⣈⠢⠑⡌⡘⠰⢠⠉⠆⡌⡘⢄⣃⣵⡿⣿⢀⠲⠇⠀⠀⠀⠀⠀⠀⠀⠠⠚⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠢⠵⠮⠔⠋⠀⠀⠀⠀⠀⠀⠈⡏⡐⠛⠆⡽⣤⡚⢫⠑⣼⣶⠌⢢⠑⠤⣁⠣⡐⢡⠃⢆⡉⠒⠤⡑⣢⡟⢼⠌⠛⣶⠋⠀⠀⠀⠀⠀⠀⢠⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡇⣉⠒⠤⣉⡙⢦⣘⠠⢂⠜⡠⢉⠒⠤⡑⢌⠂⡍⣰⢈⡱⠦⢋⠴⢏⠰⣨⡟⠁⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠬⠤⣍⠡⢌⠩⡙⢖⡮⢤⡥⢮⢴⡬⠦⠛⠲⣉⠃⡜⡇⣈⣲⠾⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡧⠀ ⢲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢦⣑⠠⢋⣐⣂⣜⠠⢃⠔⡡⢉⡒⣄⠷⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀ ⠆⠀⢠⡔⠶⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠈⠉⠑⠒⠓⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠰⡃⢭⡖⡇⢼⡆⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⣖⠲⣒⢦⡀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠢⠤⠤⠤⠔⠀⠀
⠀⠀⠀⠀⠀⢀⡀⣄⢀⡄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⡶⠶⠶⠖⠒⠒⠒⠲⠶⠶⢶⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠰⣮⡿⠛⠻⠷⣯⣶⣀⡀⠀⠀⠀⠀⣀⣴⠾⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠶⣤⡀⠀⠀⠀⠀⠀⣀⣤⣾⣼⣿⣷⣿⣠⠀⠀⠀⠀ ⠀⠀⠀⠀⢛⣿⡄⠀⠀⠀⠀⠙⢿⣶⣂⣀⣤⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⣄⠀⣀⣶⣿⠟⠋⠁⠀⠀⢹⣿⠆⠀⠀⠀ ⠀⠀⠀⠀⠀⠾⣻⣦⡀⠀⠀⠀⠀⠙⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⠋⠁⠀⠀⠀⢀⣴⢿⡍⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠸⢻⡷⣦⣄⡀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⣠⣤⣴⣾⢿⠝⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⢀⠀⡀⠀⠈⠋⠿⢹⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠃⠋⠉⠀⢀⠀⡀⣀⠀⠀⠀ ⢀⣴⣮⣷⣿⣾⣾⣧⣿⣼⣶⣆⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣴⣄⣷⣿⡾⠷⠿⠾⣾⣧⡄ ⠶⢿⡋⠀⠀⠀⠀⠀⠀⠉⠉⢻⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠋⠁⠀⠀⠀⠀⠀⢀⣿⠶ ⠉⠽⣷⣦⣄⣀⣀⠀⠀⠀⣀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⢀⣀⣤⣴⣿⡏⠁ ⠀⠀⠁⠋⠻⠹⠿⠟⡿⠻⠻⠟⣿⠀⠀⠀⠀⠀⣴⣾⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣷⣦⠀⠀⠀⠀⠀⣾⢻⠟⡿⠻⠛⠏⠛⠈⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣤⣰⣿⣆⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠃⠀⠀⠀⣰⣿⣖⣴⢀⡀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⢰⣼⣷⠿⠛⠋⠉⠹⣦⡀⠀⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠉⠛⠛⠛⠛⠛⠉⠀⠀⠀⠀⠀⠉⠛⠛⠁⠀⠀⠀⣴⠏⠉⠙⠛⠿⢾⣧⣶⣠⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⣾⠟⠉⠀⠀⠀⠀⠀⣠⣾⡷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⢞⣷⣤⡀⠀⠀⠀⠀⠈⠙⢿⣄⡀⠀⠀ ⠀⠀⠀⠈⣽⣯⡀⠀⠀⢀⣠⣴⣿⡝⠊⠀⠈⠙⠶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⠋⠁⠀⠑⠋⣿⢶⣤⣤⣀⣀⣠⣼⢯⡅⠀⠀ ⠀⠀⠀⠀⠐⠋⠿⢻⠿⡏⠷⠙⠁⠀⠀⠀⠀⠀⠀⠀⠉⠛⠳⠶⣤⣤⣄⣀⣀⣀⣀⣀⣀⣀⣠⣤⣤⠶⠚⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⠃⠘⠋⠗⠙⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠁⠈⠉⠉⠉⠉⠉⠉⠉⠁⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠉⠉⠙⣆⠀⠀⠀⢰⠋⠉⠉⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠐⠓⠒⠃⠀⠀⠀⠈⠓⠚⠂⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⣠⠚⠙⡆⠀⠀⠀⢰⠋⠑⣆⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣄⠀⠀⠰⠁⠀⠀⠀⠈⠃⠀⢀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢶⣤⣤⣤⣤⣤⣤⣤⡶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢻⣇⠀⠀⠀⢸⡏⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⣿⠀⠀⢀⡿⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⣿⠀⠀⣼⢇⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣿⠀⢰⣿⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣤⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣠⣴⠎⠉⠒⠢⢄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡾⠿⢤⠀⠀⠈⢿⣶⣑⢄⠀⠀⠀ ⠀⠀⠀⣠⣿⣿⣓⣧⡿⠶⣶⣾⠛⠉⠉⠀⠀⠀ ⠀⠀⣜⣽⡿⠿⠛⠛⠷⣀⠲⣿⣷⡀⠀⠀⠀⠀ ⢶⣶⠾⠁⠀⣄⠀⠀⠀⣤⠉⠙⡻⣓⠆⠀⠀⠀ ⢻⡫⢦⠀⠀⠁⢀⣄⡀⠉⠀⢀⠯⣳⡗⠀⠀⠀ ⠀⠀⠀⠓⢤⢀⠀⠁⢠⡤⡴⠊⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠃⠀⠀⠀⢀⠄⠈⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢇⡤⠎⠀⠀⢇⡠⠂⠘⣄⣀⢀⣀⠤⡀ ⠀⠀⠀⠀⠀⠘⢆⠀⠀⠀⠆⠀⡈⠓⠒⡒⣤⠃ ⠀⠀⠀⠀⠀⠀⠀⠑⡖⢀⣜⣤⣃⣤⣶⠗⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠈⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⠠⠤⠀⠠⠤⠠⠤⠄⠀⠀⠤⠦⠔⠶⠄⠠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣀⣠⡈⠻⣿⣷⡄⢲⣶⣦⣤⣤⣤⣀⡀⠀⠸⢿⡿⠁⠀⠀⢀⣀⠄⠀ ⠀⠀⣈⣉⣉⣉⣛⠂⠈⠻⣿⠈⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄⠀⢿⣿⠟⠋⠀⠀ ⠀⢠⣌⠻⢿⣿⣿⣿⣦⡀⠉⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⣤⣤⠆⠀ ⠀⢸⣿⣷⣦⣤⡌⠉⠙⠻⠆⢸⣿⣿⣿⠟⠻⣿⣿⣿⣿⣿⡿⠋⢙⣇⠘⠋⠀⠀ ⠀⠸⠿⠛⢉⣠⣤⣶⣶⣦⠄⠈⢿⣿⣿⣦⣤⣼⣿⣿⣿⣿⣿⣶⣿⡟⠀⠀⠀⠀ ⠀⠀⠀⠙⠛⠛⣉⣉⣉⡁⠀⠀⠀⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⡿⠖⠀⠀⠀⠀⠀⠀⠈⠉⠉⢀⣀⣤⣴⡀⠀⠀⠀⠀ ⠀⠀⢰⣿⣿⣿⣿⣿⡿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠺⣿⣿⣿⣿⣷⠀⠀⠀⠀ ⠀⠀⣼⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠿⢿⣿⣿⣷⣄⠀⠀ ⠀⠈⠉⠹⣿⠿⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀ ⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⠉⠲⡝⠀⢹⢲⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⣚⣆⣠⣧⣆⢞⠁⢀⢖⢭⣦⠀⢀⣀⠔⠢⣀⡀⠀⠀⠀ ⢠⠊⠀⢒⣿⣿⣿⡷⠉⠑⡞⠒⠙⠁⠚⠽⣴⣮⣄⣏⠉⡑⠀ ⣴⣿⡝⠙⣿⣿⠋⢹⣰⠂⠃⠀⠀⠀⠀⠀⠈⢷⠼⡯⠍⡱⠀ ⡟⡄⡧⣼⠀⢸⡀⡘⢿⣤⡤⠀⠀⠀⠀⠀⠀⢸⡜⣹⡁⠙⡀ ⠑⠊⠀⢷⣳⢾⣻⠃⠀⠀⠀⠐⠒⠒⢄⠀⣾⡎⡿⣍⡉⠉⠀ ⠀⠀⠀⠀⠉⠋⠈⡏⠱⡀⠀⠀⠀⠀⠀⠀⣀⣼⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠣⣀⠔⠀⢠⠐⢲⡂⠙⢯⣜⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠞⠀⠠⡃⡠⡄⠹⠰⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢾⡃⢠⣀⢨⠷⠤⠼⣀⠑⢈⣁⣀⡁⢂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢡⠸⡄⠀⠀⠀⠉⠀⣀⠤⠍⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣄⠑⠨⠦⠤⠤⡲⠝⠈⠉⠲⢀⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠒⠒⠒⠉⠀⠀⠀⠀⠀⠏⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠈⢱⠀⠀⡖⠲⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠋⠹⡇⠀⡸⢠⠞⠳⠆⠈⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠤⠤⠤⠤⢬⣇⢀⣿⣚⢳⡏⠀⢰⠃⡴⠛⢦⠀⠀⠀⠀⠀⠀ ⠀⡠⣄⢠⠒⣄⠐⢄⠀⠀⣠⠴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣸⡟⢣⣠⣿⣯⣤⡔⠃⠀⠀⠀⠀⠀⠀ ⠘⣇⠈⢻⡀⠸⡄⠈⣆⠞⠁⠀⠀⠀⠀⠀⠀⠀⣶⣶⣄⡀⠀⠙⠿⣿⣿⣻⡿⠋⢹⠟⠉⡗⠂⠀⠀⠀⠀ ⢴⠚⠢⢤⣿⣧⣽⣶⣏⡀⠀⠀⠀⠀⠀⠀⣀⠀⠘⠿⡭⢯⠆⠐⢲⣿⣾⣿⢁⣶⣏⡠⠞⢳⠉⢩⠏⠀⠀ ⠈⡗⠒⣿⡈⣿⡍⣿⣿⣷⠀⣀⣴⣻⣶⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠻⠿⣍⠉⣴⠒⠋⢀⠇⠀⠆⠀ ⢠⠽⠦⠈⣳⣌⣷⣿⠷⠟⠀⠀⠀⠀⠀⠀⠀⠀⣠⢶⡶⢤⣀⠀⢀⡼⠙⣶⣤⠟⠓⠋⠀⠀⠸⡀⠀⢦⠀ ⠘⠂⣤⡔⠛⢯⣙⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡃⠀⠈⠙⠛⠓⠒⠛⠦⣀⠀⠀⠀⠀⠀⣇⠀⠘⡀ ⠀⠸⢅⣙⠶⢲⠟⠻⢿⡷⣄⣀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠂⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⣳⠀⢀⡏⠀⢠⠇ ⠀⠀⠀⠈⠀⠸⠤⠚⠛⠁⢾⠋⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⢛⣉⠴⠛⠀⢀⡞⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠒⠦⠴⠦⠶⢤⣀⠀⠀⠀⠀⠀⠀⠀⢠⠿⣍⡉⠁⠀⠀⣀⡤⠊⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⠦⣄⣀⣀⡤⠴⠒⠚⠋⠉⠉⠉⠁⠀⠀⠀⠀
⠀⣠⡤⠶⠦⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠤⠴⠤⢄⠀ ⠸⡇⠀⠀⠀⠀⠈⠑⢦⣀⣠⠴⠒⠛⠉⠉⠓⠲⢤⣀⣠⠞⠉⠀⠀⠀⠀⠀⡷ ⠀⠙⠲⠤⠤⠤⣀⣀⣠⣋⣁⡀⠀⠀⠀⠀⠀⢀⣀⡙⢧⣀⣀⣤⣤⠤⠖⠚⠁ ⠀⢀⡤⠒⠛⠓⢲⢿⣟⠁⣸⣿⠀⠀⠀⠀⠀⢫⣀⣼⣷⡌⡷⠒⠛⠒⢦⡄⠀ ⠀⢸⣄⣀⣀⣤⣾⠈⠻⠿⠛⠁⠸⣆⡰⣄⡼⠀⠙⠻⠿⠃⢸⣦⣄⣀⣀⡿⠀ ⠀⠀⠀⠀⡴⠋⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠙⢶⡄⠀⠀⠀ ⠀⠀⠀⠘⣤⠴⠯⢽⡦⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⣾⡭⠦⢤⡿⠀⠀⠀ ⠀⠀⠀⠀⢸⡄⠀⠀⡇⠀⡿⠛⠒⠒⠒⠒⠒⠚⢻⠀⠀⡇⠀⠀⡞⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⢣⠀⢧⠀⠀⠀⠀⠀⠀⠀⢸⠀⢸⠁⠀⢀⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⠀⠀⢼⡄⣼⡆⠀⠀⠀⠀⠀⠀⣎⣄⣾⠄⠀⣸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⡆⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⡠⠤⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀ ⠀⠀⢰⡁⠀⠀⠀⠓⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⠉⠱⣄⠀⠀⠀⠀ ⠀⠀⠀⠉⠑⠒⠒⠢⠤⣀⡨⠅⠶⠶⠤⠶⠖⠲⣍⣀⣀⠤⣄⣀⡼⠀⠀⠀⠀
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ᓬ(•ᴗ•)ᕒ
⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⠀⣰⡏⠀⠀⢀⣤⠶⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⢀⡿⣀⣠⣠⣿⣯⡴⡢⡢⣀⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⣌⢟⣴⠟⣉⣴⡿⠗⣢⣾⡃⣾⡇⢠⠴⢬⠙⣶⡀⠀⠀⠀⠀⠀ ⠀⠩⣳⡿⢡⢋⣥⣶⡺⣿⣛⣯⣣⢌⠳⢬⣁⡼⠃⣿⣿⢡⠀⠀⠀⠀ ⠀⣸⣿⢿⣘⠘⠃⣸⣿⠈⠉⢑⠋⠁⣷⣦⣤⣴⣾⣿⡿⠘⠇⠀⠀⠀ ⢰⣿⣿⢿⣿⣿⠿⠟⠁⢀⣀⣈⣿⣷⠉⠙⠛⠛⣩⣭⠀⠂⢵⡄⠀⠀ ⠀⠈⠐⠛⠉⠀⠀⠀⠀⠀⠜⡟⠋⠁⠀⠀⠀⠀⣿⡟⠀⢸⡇⡷⢤⠤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⢀⣼⡿⠁⢀⣾⣧⠐⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠛⠁⣀⣴⣿⣿⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⣠⣴⣿⣿⡿⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣧⡾⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
≽(◕ ᴗ ◕)≼
⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛ ⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛ ⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜ ⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜ ⬛⬛⬛⬛⬜⬛⬜⬜⬜⬛⬜⬛⬛⬛⬛ ⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜ ⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜ ⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜ ⬛⬛⬛⬜⬛⬜⬜⬜⬜⬛⬜⬛⬛⬛⬜ ⬛⬛⬜⬜⬛⬜⬛⬛⬜⬛⬜⬜⬛⬛⬜ ⬜⬜⬜⬜⬛⬜⬛⬛⬜⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬜⬛⬛⬜⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬜⬛⬛⬜⬛⬜⬜⬜⬜⬜
꒰(˶• ᴗ •˶)꒱
⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡤⠤⠤⠤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢴⠋⠙⠳⣤⡀⣠⡖⡟⡇⠀⠀⠀⠀⠀⠀⠀⡽⡷⣿⡀⣠⡴⠟⠛⣷⠀⠀ ⠀⠀⠈⠳⢤⣀⢈⢿⡿⣿⣽⡇⠀⠀⠀⠀⠀⠀⠀⠻⠿⣿⡟⢏⣀⣠⡴⠋⠀⠀ ⢀⣤⣤⣄⣄⣉⣏⣿⠀⠉⠓⠃⠄⠀⠀⠀⢀⠀⠀⠀⠯⡿⣽⡞⣇⣡⣤⡴⣦⣀ ⢹⣯⣯⡏⡇⠈⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠝⠋⡏⠁⠀⢀⣠⠏ ⠀⠈⠙⠉⢋⣉⣇⠀⠀⣾⣷⠄⠀⠀⠀⠀⠀⠀⠀⢴⣿⡆⠀⢀⣿⡙⠋⠋⠀⠀ ⠀⠀⢤⠶⠋⠉⢈⣾⣇⣬⣍⠀⠀⠀⣏⠉⠉⡇⠀⠀⠉⠀⣠⣎⠈⠉⠛⢷⡀⠀ ⠀⠀⠻⣤⣤⠶⠋⠀⠉⠙⠠⠄⣀⣀⣉⣉⣉⣁⡀⠤⠐⠉⠀⠈⠻⠶⠖⠶⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⡤⠃⠀⠀⢠⠃⠤⡀⠀⡠⠤⢱⠀⠲⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⢹⠀⠀⠀⡎⠀⠉⠁⠀⠉⠉⠀⡇⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢶⠋⠀⠀⠀⡇⢀⠤⡀⠀⡠⢄⢀⠇⠚⠉⠁⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠘⠢⣀⣀⣀⣈⡠⠊⠀⠀⠀⣦⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⡇⠀⣎⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⡇⣸⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
ᓬ(• _ •)ᕒ
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꒰(˶• ᴗ •˶)꒱≽, (◕ ᴗ ◕)≼,
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠴⠶⠦⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠿⠋⠀⠀⠀⣀⣈⡉⠳⣤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⢧⣦⠀⠀⠀⠀⠈⢿⡿⣷⣦⡙⢦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣾⣿⢡⣤⣤⣌⣷⣤⣄⣀⣀⠀⣻⣿⡯⠿⠶⠿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣿⣿⣿⣶⣏⣹⣥⡿⠛⠚⠿⢿⣿⣏⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡾⣯⣿⣿⣿⣿⡿⠿⠿⣷⣰⠀⠀⢴⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣚⣳⡿⠛⠉⠀⠀⠀⠀⠀⠀⠉⠛⠶⠬⠿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀ ⠿⣯⣭⡭⡟⠀⠀⠀⣴⡄⠀⠀⠀⠀⠀⣴⣄⠀⠀⢹⡍⢭⣭⡿⠆⠀⠀⠀⠀ ⣾⣽⠞⣡⡇⠀⠀⠀⠙⠃⠀⠀⠀⠀⠈⠛⠁⠀⠀⠀⣧⠘⢮⣿⡆⠀⠀⠀⠀ ⠸⡿⠞⠉⢳⡀⠀⠀⠀⠀⠐⢺⡷⠒⠀⠀⠀⠀⠀⡼⠉⠙⠾⡯⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠦⣤⣀⣀⡀⠀⠀⠀⣠⣤⣤⡶⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡏⠀⠉⠁⠀⠀⠀⠈⠁⠀⠙⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡞⠀⠀⡀⠀⠀⠀⠀⡴⠃⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⢀⣄⣴⠋⠀⠀⠀⣼⠀⢀⣠⠆⠀⢳⡀⠀⠀⠀⠀⠀⢀⣠⡀ ⠀⠀⠀⠀⠀⠈⠉⠉⠀⢧⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠻⣶⣊⣉⠙⣛⠏⠀⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⡇⠀⠀⢠⠈⠁⠉⠉⣹⠃⣶⡟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡦⣤⡀⢰⠸⣄⠀⡿⠀⢀⣠⣴⣷⠞⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣠⣼⠷⠾⣿⣶⣾⡿⠿⠛⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢀⠀⠀⠀ ⠀⠀⠐⠀⠃⠚⠃⠀⠃⠛⠚⠃⠀⠐⠐⠛⠀⠀⠀⠑⠂⠆⠟⠓⠀⠓⠓⠂⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⢸⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣇⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⢸⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡿⠿⠟⢷⣄⠀⠈⢻⡍⠉⠙⠛⠛⠛⠿⢿⣿⣇⡀⢀⣾⣿⣿⡿⠿⣻⣿ ⣿⣿⠷⠶⠶⠶⠤⣽⣷⣄⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⣿⡀⠀⣠⣴⣿⣿ ⣿⡟⠳⣄⡀⠀⠀⠀⠙⢿⣶⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⠛⠛⣹⣿ ⣿⡇⠀⠈⠙⠛⢳⣶⣦⣄⣹⡇⠀⠀⠀⣠⣄⠀⠀⠀⠀⠀⢀⣴⡦⠸⣧⣴⣿⣿ ⣿⣇⣀⣤⡶⠟⠛⠉⠉⠙⣻⣷⡀⠀⠀⠙⠛⠃⠀⠀⠀⠀⠀⠉⠀⢠⣿⣿⣿⣿ ⣿⣿⣿⣦⣤⣤⠶⠶⠶⢾⣿⣿⣿⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿ ⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⢀⣩⣿⣿⣿⣿⣿⣿⣷⣶⣶⡿⠿⠛⠋⢿⣿⣿⣿⣿ ⣿⣿⡏⠀⠀⠀⠀⠀⢀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣅⠀⠀⠀⠀⠈⣿⣿⣿⣿ ⣿⣿⠃⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⣀⡀⠀⠀⠈⠻⣿⣿ ⣿⣷⣶⣆⠀⣀⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿ ⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠴⠶⠶⠶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⣿⣽⡖⠂⠀⠀⠀⠀⠉⠙⠳⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣽⣾⠏⠀⠀⠀⠀⠀⠀⠻⢿⣯⣗⣤⣉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠟⠓⠾⣿⡀⠀⠀⠀⠄⠀⠘⢿⣟⢿⣿⣦⡌⡻⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⡏⣴⣦⣤⣦⡊⣿⣦⣤⣀⣀⣀⠀⢈⣿⣾⣷⣽⣿⠶⠿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣷⣿⣷⣼⠅⠁⣯⣡⣿⠶⠶⠾⣿⣿⣿⣿⡛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡾⠿⣯⣿⣿⣿⣿⣿⣿⣿⡿⣯⡄⡄⢀⠀⢉⡝⠿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⡟⠘⣾⣯⣽⡿⠿⠟⠛⠛⠛⠛⠻⢶⣅⡀⠀⣛⢻⣿⡺⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣙⣉⣿⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⠶⠾⠿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢿⣟⣯⣭⣭⣽⠇⠀⠀⠀⢀⣤⡀⠀⠀⠀⠀⠀⠀⣠⣤⣀⠀⠀⠀⢻⡏⣭⣉⣉⣿⡷⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⠾⣫⣽⠆⡏⠀⠀⠀⠀⠰⣿⡇⠀⠀⠀⠀⠀⠐⢾⣿⠋⠀⠀⠀⠈⣇⠰⣮⡙⢶⣄⠀⠀⠀⠀⠀⠀⠀ ⠘⠛⣿⣟⣩⡾⢧⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⡿⢦⣈⢻⡟⠟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠻⠛⠉⠀⠘⢷⡀⠀⠀⠀⠀⠀⠈⠙⢿⠟⠙⠁⠀⠀⠀⠀⠀⣠⡾⠀⠀⠙⠻⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⢶⣤⣀⠀⠀⡀⠀⠀⠀⡀⢀⡀⢀⣔⣶⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠉⠙⠛⠃⠀⠀⠀⠀⠘⠋⠉⠁⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠆⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⢀⣄⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⣴⣴⣟⠀⠀⠀⠀⠀⣼⠀⠀⣀⣤⠖⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠁⢸⣆⠀⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠻⣶⣶⠚⠋⠙⠻⠾⠯⠁⢹⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⡀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠈⠿⠛⠛⠒⠒⢻⠀⣄⣸⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⢻⡀⠀⠀⢸⠆⠀⠀⠀⠀⣠⡟⢀⣼⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⠦⣤⡀⢸⡈⢷⡀⢀⡿⠀⠀⣀⣠⣾⣯⡶⠛⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⢠⣰⡿⢶⣽⣿⣶⣾⣿⣿⡾⠟⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠋⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡀⣀⠀⠀⣀⡀⣀⢀⢀⢀⣀⣀⢀⡀⠀⠀⡀⢀⢀⣀⡀⠀⠀⠤⣀⠄⠠⢠⡄⡠⠠⣄⡤⡀⠄⠠⠀⠄ ⠀⠀⠀⠀⠛⠂⠃⠃⠓⠀⠐⠀⠚⠚⠓⠊⠁⠈⠂⠃⠛⠃⠃⠀⠀⠒⠘⠀⠒⠚⠊⠉⠑⠚⠛⠉⠁⠀⠀⠊
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡶⠶⣤⣀⡴⣶⡟⠁⠈⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠹⣦⡞⠀⠀⠀⠀⣿⠉⢻⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣿⡀⠀⠀⠀⢸⡇⠀⠀⠀⢀⣿⡴⠞⠋⠉⢹⡟⣻⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡞⠉⠙⢷⡀⠀⢠⣸⣷⢸⡆⣠⡾⠉⠀⠀⠀⠀⣼⡟⠳⣤⣙⢧⠀⠀⠀⠀⠀⠀⠀⣠⡞⠋⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣽⡶⠶⠾⠿⣷⣦⣿⣿⣿⣿⣿⡴⠛⣀⣀⣴⡞⠉⣻⠀⠈⣟⢮⣧⠀⠀⢰⢶⣶⣾⠋⡀⠀⣠⡿⠞⠻⣆⣀⣤⣤⣤⡀⠀ ⠀⠀⣰⠟⠀⠀⠀⠶⠶⣼⣿⣿⣿⣿⣿⣿⣷⣟⡍⠀⠉⠻⣾⠛⠛⠲⠧⣼⠟⠉⠙⠻⢾⣍⣻⡄⣹⣶⣏⣠⠄⢰⡟⠉⠀⠀⢀⡇⠀ ⠀⠰⣧⣀⣀⣀⣀⣤⣤⣾⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⡛⠻⣷⣿⣵⣖⣀⣠⣾⠃⠀ ⠀⢀⣼⣿⠋⣹⠟⠉⡴⢿⣿⣿⣿⣿⣿⠁⢹⡟⠳⣦⣄⣠⣼⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣀⣺⣿⡛⠉⠉⠉⠉⢳⡆ ⢠⣿⣽⡿⣾⡟⠀⠀⢀⣾⢋⡟⢹⠃⢹⠀⠈⣿⣀⣿⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡏⠉⢻⣏⡉⠁⢀⣴⠟⠃ ⡾⣹⢿⠀⢸⣇⠀⢀⣿⠇⠈⠁⢸⡀⠀⠀⢀⡿⣯⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⢀⣿⢻⡿⠿⡉⠙⣷⡄ ⣧⡇⠸⣇⠒⣻⡶⣿⣿⡄⠀⠀⠈⣷⡀⠀⣼⠁⠻⣿⣶⣶⣾⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣧⠊⠀⣦⣿⣆⠀⠀⠈⣧ ⠸⣿⡀⣸⠟⠋⠀⣟⣩⣷⡀⠀⣰⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠠⣄⣀⠀⠀⢀⡀⠀⠀⠀⠀⢠⣿⣦⠙⢿⣾⡿⠿⠇⢻⡟⠒⠛⠋ ⠀⠀⠙⠋⠀⠀⠀⢿⡿⠈⣿⠚⢿⣟⣩⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠻⣄⡀⠀⠀⢿⡿⣿⠂⢸⡿⢷⣄⣀⣼⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠺⣿⣄⡴⠟⠛⣷⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠈⠓⠛⢠⣿⣀⣼⠉⠉⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⢠⡏⠀⠘⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠙⠻⠶⠤⣄⠀⠀⣀⠀⠀⠀⠀⠀⢀⣀⣠⣴⣿⡿⢿⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣄⠀⠀⢀⡴⠀⠀⠁⠀⡨⠙⠛⣿⡟⠛⠛⠉⠹⣷⣏⠀⣾⣷⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠶⣴⠏⠀⠀⠀⠀⣼⠃⠀⠀⠈⢿⣄⡀⠀⠀⠀⣹⣿⠗⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢿⠀⠀⠀⠀⣾⠃⠀⠀⢀⡀⠀⠹⣏⠳⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠈⠆⠀⠀⠐⣿⣀⣴⡞⠿⢦⠀⠀⢸⡆⠈⣧⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⢿⡷⠀⠀⠂⠀⠀⠈⠙⠻⣆⡀⠈⠀⢀⣼⠇⠀⠘⠧⠤⠴⠚⠋⠁⠀⠉⠛⢦⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⣁⠀⠀⣰⣤⣤⣤⢴⣾⠛⠛⠒⠛⠛⠷⣤⡀⠀⠀⠀⠀⣀⣀⣤⣄⣀⡀⠀⠘⢦⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⢩⡿⡏⠀⢸⣇⠀⠀⠀⠀⠀⠀⠈⠙⠓⠒⠒⠋⠉⠁⠀⠀⠉⠻⣦⡀⠈⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⣧⠀⠈⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠶⠶⠶⣌⣷⠀⢰ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠘⢷⣄⠈⢷⣄⠀⠀⠀⠀⠀⠀⠀⢀⣀⡴⠞⣋⣠⠤⣄⣀⠈⠙⠂⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⡀⠀⠙⠳⠤⣽⣻⢦⣤⣤⣤⡤⠾⢛⣭⠖⠋⠁⠀⠀⠀⠙⣧⠀⠀⡾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢳⣄⠀⠀⠀⠀⠈⠁⠀⠀⣀⣤⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⢸⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠒⠶⠶⠶⠒⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀
+(• o • )+ (u u)7 u u
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⠀⠀⣿⣿⢧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠘⣿⣿⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⢀⣀⣿⣯⣵⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠄⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢠⣴⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⢀⡇⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⡿⠋⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠹⣩⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⠁⠀⡜⠁⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠟⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⢀⣴⣾⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⣿⡟⠈⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⣴⣿⣯⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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🫧🌊🩵🇦‌🇽‌🇴‌🇱‌🇴‌🇹‌🇱‌ 🩵🌊🫧
꒰(˶• ᴗ •˶)꒱
⠀⠀⣀⣤⡤⠤⢤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡤⠤⠤⣤⣀⠀⠀ ⢠⣾⠋⠀⠀⠀⠀⠈⠉⠛⢦⣄⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣄⣀⣀⠀⠀⠀⠀⠀⠈⠀⣠⡴⠟⠉⠀⠀⠀⠀⠀⠙⢷⡄ ⠸⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢳⣄⣀⣤⡿⠞⠛⠉⠉⠉⠉⠉⠉⠉⠛⠳⢶⣤⣀⣠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠇ ⠀⠈⠻⠦⣤⣤⣄⣀⣀⣀⠀⠀⠀⣽⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣏⠀⠀⠀⣀⣀⣀⣤⣤⣴⠶⠛⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⢻⣶⣞⡠⠔⠺⣷⣶⡄⠀⠀⠀⠀⠀⢸⠀⣠⡶⠓⠲⣦⣌⠳⣶⡟⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣴⠞⠋⠉⠉⠛⠳⣿⢯⣿⡀⠀⣰⣿⣿⡇⠀⠀⠀⠀⠀⢸⠀⢿⣆⣀⣴⣿⣿⣷⡘⡟⠛⠋⠉⠉⠙⠳⣦⡀⠀⠀ ⠀⠀⣿⠁⠀⠀⠀⢀⣀⣴⠇⠸⣿⣿⣿⣿⡿⠋⢀⡖⠀⠀⠀⠀⠈⢣⠀⠻⢿⣿⣿⣿⣿⠇⢸⣄⣀⡀⠀⠀⠀⠈⣷⠀⠀ ⠀⠀⠻⠶⠤⠶⠛⠋⢉⣿⠀⠁⢈⢩⠉⠍⠀⠀⠀⠓⠦⠖⠛⠲⠴⠚⠀⢀⠀⢸⡩⠉⠁⠀⢸⣿⡉⠙⠓⠶⠤⠶⠛⠀⠀ ⠀⠀⢀⡴⠃⠀⣠⡾⠋⠙⣇⠀⠘⠚⠀⠘⠧⣀⠴⠉⠀⠀⠀⠀⠀⠀⠀⠀⠑⠤⠙⢷⣀⠔⣺⠉⠛⢷⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢤⡀⢰⠏⠀⢀⣴⠿⣧⣀⠀⠀⢀⡔⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⣡⣾⠻⣦⡀⠀⢹⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⢷⡖⠛⠻⠶⢼⣏⠓⠦⣄⡀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡼⠚⢻⡧⠶⠚⠛⢲⡾⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⣅⠀⠀⢸⡟⠛⠷⠶⣶⣤⣤⣴⣶⡶⠾⠛⣿⡇⠀⠀⡈⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢹⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⡇⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⡄⢠⠀⠀⢸⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢠⡇⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⣠⢇⠀⠘⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃⠀⠸⣅⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠹⢾⣀⣳⠼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠦⣞⣠⡷⠏⠀⡀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠊⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠐⠄⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⠤⠄⠐⠿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⠋⠀⠀⠀⠀⠀⠳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠟⠓⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⠦⣄⣀⡀⢀⢀⡠⠀⠉⠓⠦⢤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠤⠖⠚⠁⢠⠄⠀⠘⠲⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠤⢄⣀⡠⠤⠭⠿⠿⠟⠛⠛⠛⠛⠛⠛⠯⢄⣀⣀⣁⠤⠵⠤⣀⣀⠤⠃⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠘⠻⣿⣶⣄⣴⣧⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣦⣴⣶⣷⣶⣶⣾⣦⣴⣀⣀⢀⣠⠠⠽⢛⠟⠛⢩⠳⢃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠐⠫⠉⠛⡉⢻⠊⠿⣿⣟⣯⣍⡹⠢⠀⠀⠀⠀⡀⠀⠁⠀⠉⠐⢀⠄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣤⣽⡶⣶⣾⣾⣶⣿⣿⠿⠛⠐⠀⠀⢈⢤⣿⣧⠀⠀⠀⠀⢶⡵⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠛⣹⢟⠜⣪⣛⢯⠻⣿⣿⠟⠁⠀⠀⠀⠈⠿⠋⠊⠀⠀⠀⣽⣿⢹⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡴⠁⢡⠀⡘⢠⢜⣼⣿⢿⣷⡡⠀⠀⠀⠀⠁⠈⠀⠤⠤⠬⢵⡅⣸⡇ ⠀⠀⠀⠀⠀⠀⠐⣎⠀⡀⢈⢠⣫⣾⣿⣏⡭⠢⠁⢻⣷⣶⣶⣶⣶⣴⣶⣶⣴⣦⣀⡰⠋⠀ ⠀⠀⠀⠀⠀⠀⡜⠛⠀⡇⠘⠟⢻⢘⡳⣽⠉⡤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠯⡉⠁⠀⠀ ⠀⠀⠀⠀⠀⢲⠁⠀⠀⠀⠀⠀⢀⣼⣤⠉⠁⢸⣿⣿⣿⣿⡿⠟⠟⠉⠉⠛⠻⣎⡙⣆⠀⠀ ⠀⠀⠀⠀⠀⣈⡃⠀⠀⠀⢀⣴⣿⣿⣏⣂⢀⢸⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠊⣯⡕⢿⡀ ⠀⠀⠀⠀⡄⠁⠁⠄⣤⣴⣿⣿⣿⣽⣞⣼⢽⣸⣷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣺⡟⣟⡏ ⠀⠀⠀⣘⣠⢐⣦⣾⣿⡿⡿⣕⠏⠀⠏⣻⣿⣍⠛⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠛⠀ ⢀⣀⣷⡏⡰⡿⢿⣿⣿⡿⣎⣧⠀⠀⠀⠀⠘⣿⡂⣿⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠌⣼⢄⣠⡽⠥⢼⣌⣿⡍⣾⢢⣀⠀⠀⠀⠀⠊⢷⡫⡟⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠑⣸⠃⠋⠀⠀⡷⠹⢹⢲⠀⠓⣀⠀⠀⠀⠀⠁⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⠀⠀⠀⠀⢘⣷⡌⠉⠀⠈⠈⠂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠮⢧⣣⠀⠀⢤⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢩⣀⠀⠀⠑⠠⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢑⣆⠒⠀⠀⠈⠀⠤⢀⠀⠀⠀⠀⠐⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠬⢋⡀⠀⠁⠀⠀⠀⠈⠐⠀⢀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢤⣀⡀⠀⠀⠀⠀⠀⠈⠡⢄⢥⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠈⠀⠂⠐⠰⠄⡲⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣶⣿⠷⠿⢞⡛⢻⢛⡛⢻⠛⡟⢻⠻⠷⡶⣯⣴⣶⣠⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣰⡴⢶⢛⣋⣍⡲⢠⠍⡜⢢⠉⢆⠲⣈⠥⢚⡨⢡⠣⡑⠦⢡⠆⠭⡙⡛⠷⣮⣔⡠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⠗⠯⡱⡸⠊⠁⠀⠀⡼⠡⠎⡔⢣⢉⠬⡑⠢⢎⡡⢎⠢⠣⢜⢨⢡⢊⠥⠱⣉⠲⠤⣉⠛⠷⣧⣂⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢕⣩⠌⡙⠴⡑⢀⡀⡤⢖⠹⠰⣉⠖⡡⢎⢂⠣⡅⡋⠦⡘⠢⡍⢣⠎⢢⠅⣊⠬⡑⠤⢃⡱⢌⠩⠜⣠⠛⠷⣗⡠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⡚⢆⡶⠋⠀⠀⣜⢡⢮⢡⠜⡰⢌⣃⣳⣌⣒⣡⠎⡌⡒⠬⢡⠣⢍⠣⠜⡡⢊⣥⣾⡶⡿⢿⡿⡿⢷⡾⣥⣋⠤⣉⢲⢌⡻⣮⡢⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣼⠇⡸⠃⠀⠀⠀⢠⡛⢤⠸⢃⣜⣿⡿⣿⢟⡿⣻⢿⣿⣄⢣⠛⡄⢣⠜⣃⢇⢣⣿⢿⣇⢿⡻⣿⢻⣛⣧⢻⡻⢿⣧⣜⠠⠘⢤⡘⢿⣜⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢔⡵⢃⠞⠁⠀⠀⠀⣰⠫⠜⡄⢣⣿⡟⣧⢻⣎⢿⣜⢧⣏⣷⣻⣷⣽⣶⠷⠾⠶⢾⣿⣏⡿⣜⢧⡻⡽⣧⣛⣾⢣⡟⣧⢏⡿⣮⡑⢄⢱⢣⡙⣯⣢⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣢⠟⡨⢍⠀⠀⢀⡠⢞⡡⠣⠍⡔⣿⢿⣹⣎⣷⡮⣟⢮⣷⡾⠟⠋⠉⠀⠀⠀⠀⠀⢸⣷⢞⡿⣜⢧⡻⢵⣫⡝⣮⢳⡝⣮⣛⡼⣿⡎⣅⠋⡤⢃⠬⢳⡥⡀⠀⠀⠀ ⠀⠀⠀⡠⣵⠣⣉⠴⢡⢋⠹⢌⡑⠦⢡⢃⠧⢼⣿⣏⢷⡹⢶⣹⣾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠂⠸⣿⣎⢷⣏⢾⡹⢧⡳⣝⣮⣷⡿⣶⠿⣷⣿⣇⠆⡍⡆⠋⢆⡍⢻⡴⡀⠀⠀ ⠀⠀⡠⣽⢃⠱⠄⡎⠆⡥⢃⠖⡌⠎⣅⠪⣔⣩⣿⡽⢮⡽⣷⡟⠁⠀⠀⠀⠀⠀⠀⠀⠠⠈⠀⠀⠀⠙⢿⣾⡜⣷⣛⢧⣿⢿⡻⣼⡱⢯⣝⡳⣏⢿⣿⣔⡱⡀⠀⠪⢥⢻⡴⡀⠀ ⠀⢠⣽⠣⢌⠎⡱⡈⠖⡡⢎⡸⢌⠱⣈⣷⣟⣯⣽⣿⣭⣻⡟⠀⠀⠀⠠⠀⠠⠀⠈⠀⠀⠠⠐⠈⠀⠀⠀⠙⠛⠷⢿⣿⡽⣳⡝⡶⣝⡳⣎⢷⣹⣞⣼⣻⣧⢥⠀⠀⢳⢌⢿⣱⠀ ⢀⢶⡇⢎⠆⢭⡐⡅⡋⡔⢢⡑⡊⢆⣿⡟⣵⣚⡶⣹⠿⣿⠀⠀⠠⠈⠀⠀⠀⠀⠀⠈⠀⠀⠄⠐⠀⠁⠀⠀⠀⠀⣾⡷⣏⢧⡻⣝⢮⡳⣝⡾⢧⣛⢶⡹⣿⣆⠃⠀⠀⢏⠼⣏⠇ ⣞⡟⣈⠲⣘⠂⡖⣈⠦⢡⢃⠬⡱⠌⣿⣽⢳⣭⣛⣧⣟⡿⠀⠀⣀⢀⠀⠈⠀⠀⠈⠀⠀⠄⠀⠄⠀⠄⠀⠁⠀⠀⢹⣿⡹⣎⢷⣫⢞⡵⣻⡝⣧⣛⢮⡳⣽⡇⠎⠀⠀⠘⡎⢿⣰ ⣿⠇⢢⡑⢢⢙⡐⢢⠊⡅⢎⢒⡡⢎⢻⣞⡳⢮⡷⣻⢼⡏⣴⣿⣿⣿⠀⠀⠀⠀⠄⠀⠀⠀⠄⠀⠀⣀⣤⣤⣤⣀⠈⢿⣷⣹⢎⣷⢫⡞⣵⢻⠶⣭⡳⣽⣹⣇⠳⠀⠀⠀⡟⣸⡇ ⣸⢌⡱⡜⠉⢱⢌⠣⠜⣈⢆⢃⠖⣈⢒⡻⣿⣧⡻⣵⣻⣿⣿⣿⣿⣿⠀⠀⠀⡀⠤⠀⠐⠀⠀⢠⣾⣿⣿⣿⣿⣿⣷⡀⠙⢿⣾⡜⡷⣽⢎⡯⣝⢶⡹⣖⣿⢡⢃⢃⠀⠀⢰⢩⡗ ⣿⠠⠾⠀⠀⢸⢠⠣⢍⡂⠎⢆⡓⢌⠆⣒⣾⣻⢟⣿⠏⣿⣿⣿⣿⠃⠀⠀⠉⠉⠉⠉⠂⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠙⢿⣷⣹⣞⡽⣎⢷⣹⣾⠏⡒⡌⢎⠀⢀⠧⣊⡟ ⣿⠐⡆⠀⠀⠘⣌⠢⢌⡃⠖⡬⠱⡘⠴⣉⣿⡯⣞⣿⠀⢿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⣠⣼⡿⣟⢿⣳⢿⣼⣿⠏⡔⢣⠱⠌⣆⠼⢠⢋⡷ ⣻⠌⡇⠀⠀⠈⡦⢑⠢⡌⣃⠆⡣⢍⠲⢄⠻⣿⣾⡽⣏⠳⠂⠀⠀⣀⣀⡀⠁⠀⠈⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⣾⣿⢯⡷⣽⢎⡷⣻⢞⣷⡘⠬⡡⢎⠱⡄⢎⢡⢺⡇ ⣸⡎⠇⠀⠀⠀⠓⣌⠱⢄⡃⢎⡑⢎⡑⠎⡔⠢⣍⠹⡩⠷⣤⡾⠛⠋⠙⠛⢷⣄⣠⣤⣤⣤⡂⠹⢿⣿⣿⣿⣿⡿⠟⠁⣾⣿⣹⣎⠷⣭⢿⡜⣧⡟⣾⡏⣅⠣⣌⢣⠘⠦⢡⢾⢡ ⡟⣧⢹⠀⠀⠀⠘⣄⠓⡢⣉⠆⡍⢆⠥⢋⡔⠣⡄⢳⠠⣿⡏⠀⠀⠀⠀⠀⣰⠟⠁⠀⠀⠉⢻⣧⠀⠉⠉⠉⠁⢰⠲⠄⢻⣯⣽⢎⡿⣜⢯⡞⣵⢯⣿⠑⣂⠧⡐⠦⡙⡘⢤⡟⡄ ⢿⢿⣈⡆⠀⠀⠀⢨⢒⡱⠐⢎⠔⡉⢆⢣⣬⣵⣼⣤⣃⣻⣇⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⢻⣇⠀⠀⣀⣀⣠⣤⣶⡿⠿⣯⣟⣼⣫⢷⣹⡿⢟⡡⢋⠔⢢⡑⡱⢌⠱⣾⢱⠃ ⠀⢟⣧⠼⡄⠀⠀⠈⢦⠰⣉⠦⡙⡌⢆⣿⠂⠀⠀⠈⣹⠏⠹⢷⣤⣴⣤⡼⣇⠀⠀⠀⢀⠀⡀⠈⣿⡛⠛⠛⢻⡟⠭⡑⣌⠒⡤⢋⢍⠫⢍⡹⢐⡡⢒⡡⢎⡱⠰⣡⠊⣵⢇⠗⠀ ⠀⠈⠾⣧⢙⡄⠀⠀⠘⡵⡐⢢⠱⣘⠢⣿⠀⠀⢀⠀⣿⠀⠀⠀⠈⠉⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠈⠛⠂⠀⣿⡏⢆⡱⢠⢓⡰⡉⢆⠓⡌⣔⣡⠶⠥⠶⢆⡅⡓⣄⣳⢏⠃⠀⠀ ⠀⠀⠈⡽⣶⠘⢦⠀⠀⢸⢅⣃⠓⡤⢓⣸⡇⠀⠀⠀⣿⡀⠀⢀⠀⡀⢀⠀⠀⠈⠛⢦⣤⣴⣠⠤⡆⠀⠀⠀⣿⣏⠒⣌⠲⣈⠦⡙⠤⢋⠖⠉⠀⠀⠀⠀⠀⡧⣑⣲⢯⠊⠀⠀⠀ ⠀⠀⠀⠈⢞⣯⡢⣉⠦⡙⣤⡢⡙⡔⢣⠰⢻⡄⠀⠀⠘⣷⡀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⣠⣤⣀⠀⢀⣿⢣⢉⠦⡑⢌⡲⡑⢪⠃⠀⠀⠀⠀⠀⠀⣰⢓⡼⡧⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠺⣳⣤⢃⢼⠀⠈⢲⠡⣃⠥⢋⢻⣄⠀⠀⠈⠻⣦⡀⠐⠀⠀⠀⠀⠀⠂⢰⣿⠁⣿⣿⠟⢀⣾⡟⢢⠉⢦⠉⢞⠲⣍⢹⠀⠀⠀⠀⠀⢀⡼⣥⢟⠝⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⣿⣧⡎⢳⡄⢸⢰⢡⠊⣥⠒⢹⣷⡄⠀⠀⠈⠛⣶⣤⡄⠀⠀⠂⠀⠀⠉⣤⡌⠀⢠⣿⢫⠘⣤⠋⣤⠋⡌⢲⢠⠋⣦⣤⣤⡖⠊⣧⣿⣵⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠪⣷⣎⡩⣑⠢⡑⢎⠰⣘⢢⠘⡻⢶⣄⡀⠀⠀⠉⠉⠉⠉⠐⠀⠀⠀⠉⣡⣴⣟⢋⡔⢣⡐⢎⡰⡜⠉⠀⠚⠒⢤⡓⠰⣄⣿⣻⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⢦⣇⣑⢊⡑⢆⢢⡙⠤⢃⡍⣛⠷⢶⣦⣤⣤⣤⣤⣤⣶⠾⡟⢫⡑⠤⡒⢌⠒⣌⢒⠰⣣⣀⡀⣀⠤⣎⣵⢟⡿⠎⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠫⢻⢦⣕⡪⢔⡈⠞⡰⡘⡰⣊⣲⣄⣣⣜⣌⣢⠱⣈⠖⣡⢃⡜⢢⡑⢪⠑⣂⠎⡱⢠⢎⣴⣽⢾⡯⠅⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠘⠹⢳⠾⣥⣒⣡⡙⠿⣳⣽⣻⢾⡽⣟⡿⣷⣾⠐⡆⡜⠡⡜⠢⣍⣰⣮⡵⢾⣛⠭⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠋⣩⢟⣛⣶⠶⢯⣭⣿⣽⣿⣬⣥⣽⡶⠾⢷⣿⣿⣿⡝⠓⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢾⣏⣙⠻⡶⣤⡀⢀⣠⡴⠶⠛⠛⠋⠉⠉⠛⠛⠛⠶⠦⣄⣀⣤⢶⢟⡫⣝⣿⠂⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢿⣏⣷⢱⣉⣿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣷⡎⣎⣱⡿⠁⠀⠀⠀⠀ ⠀⣰⡶⠶⣦⣤⣀⠉⠛⢷⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠟⣋⣤⡴⠶⣶⣄⠀ ⠀⢻⣟⡖⢶⢬⣙⠻⣶⡾⠁⠀⠀⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⣴⣷⡄⠀⠀⢸⡿⣍⠶⣱⢫⣼⡿⠀ ⠀⠀⠉⠻⠿⣶⣭⣷⣽⡇⠀⠀⠀⠘⢿⠿⠀⠀⣆⠀⠀⣰⡆⠀⠙⠋⠁⠀⠀⠠⣿⣾⠿⢟⣋⠁⠀⠀ ⠀⠀⣀⣀⣀⣀⣀⣉⣹⡇⠀⠀⠠⠀⠀⠀⠀⠀⠙⠷⠾⠟⠀⠀⠀⠀⠀⠀⠀⢰⣿⣛⢛⣋⡙⢿⣻⣦ ⢰⣿⣋⡙⣍⡹⢭⣩⢛⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣳⣬⣳⣬⣽⡶⠟⠋ ⠘⠻⢶⣿⣬⣷⣧⣮⣷⣾⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠉⠉⠉⠉⠉⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠈⠛⢶⣤⣀⠀⠀⣀⢀⡀⣀⣀⣤⣴⡞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⢉⠐⠦⣍⠉⣩⠿⠛⠁⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡌⠳⢦⠼⠟⠻⠶⠞⠡⠿⠒⠲⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠶⠶⠷⠀⠀⠀⠀⠀⠀⣠⡶⠶⠒⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣶⣶⣶⡾⣷⡀⠀⠸⠿⣿⣿⣶⡾⢶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣦⣄⠀⠀⠀⠉⠙⠛⠿⢿⣿⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠚⢻⡟⣶⣶⣦⡶⣶⣶⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠉⠈⠓⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⡶⠾⠿⠿⠿⠿⠿⠿⠶⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀ ⠀⠀⢰⣿⠛⠻⢷⣦⣄⠀⠀⠀⢀⣤⡾⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢷⣦⡀⠀⠀⣠⣴⡾⠟⠻⣷⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣿⣀⠀⠀⠈⠻⢿⣆⣴⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⣶⡾⠋⠁⠀⠠⣴⣿⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀ ⠀⠀⠀⠀⢀⣀⡀⠙⠻⢷⣤⣄⣀⣰⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣀⣠⣴⡾⠟⢁⣠⣤⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀ ⠀⠀⠀⠀⠀⠀⠆⣿⠟⠻⢷⣶⣤⣍⣉⣉⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣤⣀⣀⠀⠈⢿⣏⣉⣥⣴⣶⠿⠛⠉⣿⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⣧⡀⠀⠀⠈⠉⠙⢻⣿⠀⠀⠀⠀⠀⢠⣾⠿⠿⣷⡄⠀⠀⠀⠀⠀⠀⠘⠛⠛⠛⠿⠀⠀⢸⣿⠛⠋⠀⠀⠀⣀⣴⠟ ⠀⠀⢀⣤⣶⣶⣦⣤⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣶⣶⣶⣶⣶⣾⣿⡄⠀⠀⢀⣠⣦⣭⠀⠀⠀⢡⡄⠀⠀⠀⠀⢀⣦⡄⠀⠀⡟⠙⡆⢸⣿⣶⣶⣶⣶⠾⠟⠀⠀ ⠀⠀⣿⠏⠉⣀⣠⣙⣛⠿⠿⣶⣶⣤⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⣶⠾⢿⣧⠀⠀⠈⠿⣼⡿⠁⠀⠀⠈⠿⣷⣦⣤⣶⠿⠋⠀⠀⠀⠙⠋⢀⣿⡿⣶⣦⣤⣤⣤⠀⠀ ⠀⠀⣿⡀⢸⣿⠉⠉⠛⠛⠳⠶⠶⣤⣭⣭⣭⣿⣿⣿⣿⣿⣿⡟⠛⠉⠉⠀⠀⣸⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡀⠀⠈⠉⠉⢉⣿⡧⠀⠀ ⠀⠀⢻⣷⡈⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠙⠿⢶⣶⣶⠶⠿⠋⠁⠙⠿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⠟⠁⠉⠻⠷⠶⠶⠶⠿⠛⠁⠀⠀ ⠀⠀⠀⠙⣿⣄⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠙⣷⣬⣻⢶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣾⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣮⣝⣻⡷⠶⣤⣄⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣶⠀⠀⢰⣿⠟⣿⡏⠐⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⠷⣾⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⣠⣶⣶⡶⠶⢿⣿⠋⢙ ⢸⡏⢠⡿⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠁⠀⣰⡟⣠⡿⠁⢀⣾⠃⠀⣸⠏⠀⢠⡿⠁⠸⣧⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⢀⣠⣾⠏⢰⣿⣁⣴⡿⠋⠀⠀⣿⣤⣤⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠉⠁⠀⠈⠉⠉⠉⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣠⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣤⠶⠶⣦⣿⣿⣿⣿⣦⣤⠶⠶⢦⣤⣀⣴⣿⣿⣷⡄⣀⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡓⠦⣀⣀⣩⣿⣷⠙⠉⠀⠀⠀⠀⠀⠙⢿⢟⣿⣿⠟⠉⠉⠀⣉⠹⣷⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀ ⠈⠷⣤⣀⠻⣮⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡿⠷⢶⡤⠒⠉⢁⣴⠟⠀⠀⣀⣤⣶⡞⠛⠉⠉⡹⠋⠉⠉⢉⠟⠛⠶⣦⣀⠀⠀⠀ ⠀⢠⡾⢿⣭⠿⠁⣾⣷⠀⠀⣦⣴⡀⠀⢰⣶⠀⢰⣾⠯⠤⠤⣶⠛⠛⠻⢶⣿⣿⣿⣿⠃⠀⠀⡰⠁⠀⠀⡰⠃⠀⠀⠀⢀⡽⢷⡄⠀ ⠀⠻⣿⣿⣿⣯⠀⠀⠀⠀⠀⢿⣽⠃⠀⠈⠉⠀⢀⣉⣻⣦⠤⣬⡇⠀⠀⠀⠻⠛⠛⠛⠛⠛⠛⠛⠳⠶⠾⣥⡀⣀⠤⠚⠁⠀⠀⢿⡀ ⠀⠀⠀⠉⠉⢻⣄⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⣸⣿⣿⣦⡴⠟⠁⠀⠀⠀⠀⢷⡄⠀⠀⠀⠀⠀⠀⣀⣠⣾⡟⠁⠀⠀⠀⠀⠀⣸⠇ ⠀⠀⠀⠀⠀⠀⠙⠷⣤⣀⠀⠀⠀⠀⠀⢀⣤⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⡴⠶⠶⣾⣿⣿⣿⣅⠀⠉⠙⠛⠛⠒⠲⣶⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢛⡿⠛⠻⣿⠏⠀⠀⢀⣀⠀⠀⢀⣠⣴⡄⠀⠀⠸⡏⡆⠀⠀⠙⣿⣿⣿⣿⣷⣦⣀⠀⢀⣠⡾⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⢰⡏⠀⠀⠀⣾⠉⠙⠛⠹⣯⣨⣧⠀⠀⠀⣿⣳⣶⣶⣤⣼⣿⣿⣿⣿⣿⠿⠿⠛⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣯⣼⡿⣷⢆⣆⣼⠃⠀⠀⠀⠀⠙⠛⠛⢧⣷⣳⡟⠉⠙⠛⠉⠙⠿⠿⠿⠻⠻⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠂⡆⠈⠆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⣀⣏⠹⣀⣆⠊⠂⠈⢄⠀⠀⠀⠀⠀ ⡠⢤⠒⠄⢢⢀⡴⠞⠁⠁⠀⠉⠉⠢⣧⡙⣠⣗⣁⣼⣀⢀⣀⠀⠀ ⠧⠀⢢⡰⣈⠏⠀⠀⠀⠀⠀⢿⢦⠀⢙⣟⣽⠁⠜⡀⡓⠚⡦⢎⠤ ⣆⠒⡎⢎⣿⢷⢀⠴⡲⠊⠀⠀⠀⠀⠀⢹⠓⢏⢈⠐⠁⠼⠁⠁⠀ ⣁⢀⠼⣞⢷⠉⠀⠀⠀⠀⠀⢎⠉⠒⠴⠧⠏⡈⠁⠀⠀⢡⡎⡄⠀ ⠘⢄⠑⠒⢉⣷⡤⠄⠀⠀⠀⠀⠁⠀⠀⠀⠀⠈⢉⠱⠀⣸⡇⠇⠀ ⠀⠀⠉⠁⠉⠉⠢⠄⠀⠤⣤⢀⠀⠀⠀⠀⠠⢞⢓⣨⠤⡋⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠃⠤⠖⠚⠓⠂⠀⠉⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠞⠛⣦⠎⠁⠹⣆⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⣿⠀⠀⢸⠀⠀⢰⡏⢀⠿⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠘⣿⡀⢀⣸⠀⡴⠋⠻⡏⠀⢘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⣤⣤⣀⣸⣇⠀⣼⣷⠞⣷⣾⡅⠀⢠⡗⢀⡼⠟⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣤⡀⠀⣀⠀⠀⠀⠀⠀⣀⣴⠖⠛⠉⠁⠀⠀⠀⠀⠀⠀⠉⠛⢮⣿⡏⣿⡾⣿⠃⢀⣼⡷⠞⠁⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⡟⠳⣄⡇⠀⢳⡄⠈⢳⡀⢀⣴⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⣿⣷⣼⣷⣄⣦⣾⢿⣷⣶⣺⣍⣀⣀⠀⣀⣀⣀⣀⡀⠀⠀ ⠀⠸⣇⠀⠘⣷⣄⠀⣧⣀⠀⣧⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⣄⣀⠀⠀⠹⠿⢿⣿⣿⣻⡾⠁⠀⣽⠋⠀⢸⠛⠁⠀⠀⠀⠀⠙⠒ ⢠⡶⠾⠷⣄⣈⣿⣷⣈⣷⣴⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠙⣿⣏⣻⣯⣆⠙⠶⣷⣿⣷⣿⡿⠁⢐⣾⠃⣀⡴⠿⣾⠉⢉⡿⠁⠀⡠⠂ ⠈⢧⡤⢤⣤⡖⠻⣯⡟⣿⣿⣷⣷⠀⠀⠀⢀⣤⣤⣤⠤⠾⠛⠀⠀⠀⠉⡍⠘⠁⠀⠀⠩⠙⣛⣿⣿⣿⡿⢿⠟⣁⣀⣠⠟⠀⡾⠁⠀⡜⠀⠀ ⠀⠸⣇⠀⠙⢷⡿⠿⣓⢸⣿⡿⢿⡆⠠⠴⠞⠷⠿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⢀⣿⣉⠘⠙⢿⣆⠐⣾⠉⠀⠀⢸⠃⠀⠰⡁⠀⠀ ⠀⡴⠞⠷⠦⠈⣳⣄⣹⣿⣿⠻⠾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⣿⠳⢶⣄⣀⠀⢀⡾⠃⠙⣷⢶⠾⠉⠋⠁⠀⠀⠀⢸⡄⠀⠀⣇⠀⠀ ⠀⠳⣄⣀⣠⡾⠻⣯⡻⢿⣿⡍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⡈⠆⠀⠈⠛⠛⠟⠓⠒⠾⢧⣤⡀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⢸⠀⠀ ⠀⠀⢰⠞⠻⢦⣀⣈⣽⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠒⠶⣤⡀⠀⠀⣿⠀⠀⢸⡇⠀ ⠀⠀⠈⠓⠦⡖⠋⢠⠏⢈⣹⣾⡏⠛⣶⣤⣄⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⠟⠀⣸⠋⠀⠀⣸⠁⠀ ⠀⠀⠀⠀⠀⠁⠈⠙⠶⠟⠉⠋⠀⠸⣧⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠞⢉⣠⡴⠚⠉⠀⠀⣰⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⠦⠤⠤⠤⠤⢤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡏⠉⠉⠉⠀⠀⠀⠀⣠⡼⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠳⢦⣤⣀⠀⠀⠀⠀⠀⠘⣋⣀⣙⣿⠦⠤⠤⠴⠶⠛⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠷⠶⠶⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⢿⣦⣄⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡌⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣠⡟⢠⣿⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣧⠈⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⢏⣾⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡇⡆⣿⣷⡛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣴⡿⣫⢜⣾⣿⠿⠄⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⠄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢴⣿⡦⡀⠀⠀⠀⠀⠐⢛⣿⣿⢁⠧⣿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣿⡿⠁⣾⣿⣭⠇⠀⠀⠀⠀⠀⢀⡤⣚⣽⣿⡿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣿⣷⡘⢆⠀⠀⠀⠀⢹⣿⡇⠚⠘⣯⣳⡀⣀⣀⣠⠤⠤⠤⠤⣄⣀⣀⣀⠘⣿⣿⡟⠁⠀⣿⣯⣄⠀⠀⠀⠀⢀⡴⠋⣴⣿⡿⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣧⠨⢧⡀⠰⢾⣿⣿⡇⣀⠀⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠛⡀⠀⢀⣿⣿⣧⠀⠀⢀⡴⠟⢝⣾⣿⣿⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣛⣿⣿⣆⠈⠻⠢⠾⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠙⠻⠯⠥⠴⠺⠟⠁⢀⣼⣿⣿⡍⠀⠀⠀⠀⠀⠀ ⢠⣴⣷⣄⣀⡀⠀⠀⠹⠟⣿⣿⣧⡀⢀⡄⠀⠀⠀⠀⣠⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣄⠀⠀⠀⠀⠰⡄⠀⠀⣠⣶⣿⣿⡟⠊⠁⠀⠀⠀⠀⠀⠀ ⠈⠛⠻⣿⣶⣬⣍⠒⠶⢬⣿⣿⣿⡿⠟⠀⠀⠀⠀⢾⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡇⠀⠀⠀⠆⢛⠶⢿⣿⣿⣿⡿⠤⠤⠤⠦⢴⣶⣦⣀⠀ ⠀⠀⠀⠀⠻⣿⣿⣧⣄⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢀⣠⣤⣶⣾⣿⢿⣿⡿⠗ ⠀⠀⠀⠀⠀⠉⠛⣿⣿⣷⣶⣤⣀⣀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡀⣼⣠⣤⣴⣶⣿⣿⣿⢿⠿⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠋⣽⡿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠈⠓⠦⠤⣄⣀⣀⣀⣀⣀⣀⡠⠖⠁⠀⠀⠀⠀⠀⢀⣽⣿⣟⣿⣿⠿⠋⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠉⠙⠉⡽⠧⢄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⠿⣟⢏⠙⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢾⠋⠀⠈⠀⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠞⠁⠀⠀⠀⠀⠀⠀⢠⣶⣶⣶⡆⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠚⠉⠁⠀⠀⠀⢀⠀⠀⠀⠀⢠⣸⣿⣿⣿⣿⣦⣤⠀⠄⠀⠀⠘⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⣀⣴⠞⠋⠙⢯⣭⣵⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣁⣦⡄⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⣠⠾⠋⠀⠀⠀⠀⠀⠉⢛⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⠙⣆⠀⠀⢨⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠰⡏⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⣠⠭⠿⠿⠟⠻⢿⣿⡷⠾⣷⣮⡳⣄⠈⠳⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⡇⠀⠀⠀⠀⠀⢀⡾⠁⢀⣰⠿⠋⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠙⢿⡿⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠃⠀⢠⠘⢿⣀⠀⠀⠀⣰⠏⠀⢤⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⢸⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⢞⡕⢀⡄⠀⣷⢤⣙⣟⠛⣾⠃⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⢸⡆⠀⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣾⢵⡏⣠⠋⢳⢠⠇⠀⠈⢉⡾⠁⠀⢨⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢞⣁⡀⠀⡀⢪⠻⣦⡀⠀⠘⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠰⠋⣡⣮⠞⠁⠀⣾⠞⠀⠀⣠⡾⠁⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠈⣇⢸⢷⡈⣗⣬⡳⡄⠀⠈⠳⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠈⠀⢠⡾⠛⠀⣴⠀⣆⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠎⠀⠙⢮⣾⣿⣷⣐⣆⠲⣍⠳⣄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣫⣶⠆⣰⡇⣸⠟⢾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⢻⡿⡿⢤⡘⢷⡲⢽⣦⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠋⣰⣋⡾⢳⢧⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⢳⣧⠀⠉⠳⣽⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠋⠀⠺⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠈⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠈⠆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⣀⡀⠀⢰⠋⢀⣀⣠⠤⠔⠊⠁⠀⠀⠹⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡘⡔⢘⢀⠎⢀⡙⢤⡣⠖⠉⠀⣀⣤⠖⠊⡝⠀⠀⠀⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⠈⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢊⡕⠊⠙⣸⢈⣉⣣⣀⠽⠒⢲⣤⢚⣽⡁⠀⠀⡇⠀⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⢼⠶⣄⡤⠦⢄⡀⡔⠈⠙⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠔⠊⠉⢲⠗⠉⠉⠓⢦⣾⠁⠀⡎⣿⠉⣩⠯⣸⣯⣀⣤⣠⣄⣹⠀⠀⡎⠀⠀⠀ ⠀⠀⠀⠐⠶⢤⣀⣠⢴⣍⢪⢀⡯⠕⠒⠪⢷⡅⡆⢠⡣⠄⡀⠀⠀⠀⢀⣀⣀⣀⣓⣤⣀⡀⣼⠀⠀⠀⣠⠾⠛⠒⢦⡃⣿⣠⢋⡠⣿⠛⢻⡉⠉⠉⢙⣆⣀⣳⡀⠀⠀ ⠀⠀⠀⠀⠀⢠⠎⠑⡦⡬⠿⡟⢀⠀⢀⡠⠼⠿⢖⠏⢀⣤⠼⠖⠛⠉⠉⠁⠀⠀⠀⠈⠉⠉⠻⣄⣤⢿⠃⠀⠀⠀⠈⣿⣿⡿⠟⠚⠓⢦⣸⣇⣂⡉⠉⠹⡄⠀⠉⠓⢄ ⠀⠀⠀⠐⠒⢚⡲⢾⡥⣈⣢⣧⢹⢠⠏⠀⠀⠀⠀⠘⢯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⣿⢀⣠⠴⡶⠛⠙⠛⢯⡑⢦⡀⠀⣷⡈⣧⣈⡑⠆⠹⡆⠀⠀⠀ ⠀⠀⠀⢀⣀⣎⡰⢉⡀⠤⣭⣿⣾⣾⠴⢖⡞⠋⠉⠐⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠁⢸⡇⠀⠀⠀⢸⢷⡀⠳⠀⣟⠉⢿⠩⠉⠱⡄⢹⡄⠀⠀ ⠀⡀⠔⠊⢹⠋⠗⢉⠔⠉⡥⠛⣿⠁⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠈⢧⠀⠀⣠⡟⠀⢿⠀⣼⠛⣧⣾⡷⢶⡚⠁⠀⢿⠀⠀ ⠀⠀⠀⢀⡾⠒⠛⡇⠀⢸⠁⠀⢹⡦⣀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⣄⠈⠳⠚⣿⠀⠀⢸⡞⠻⣆⢸⠙⢳⡄⠅⠀⠀⢸⡄⠀ ⠀⠀⠀⣾⠀⡠⠞⠷⣄⢻⡀⠀⠈⡇⠀⠉⠉⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⠛⠻⡇⠀⢱⡇⣀⣠⣿⡇⡜⢸⡾⡄⢀⡇⠀⠀⠀⢸⠀⠀ ⠀⠀⠀⠻⣾⡡⠴⢶⣾⣿⣯⣦⣄⡼⠀⠀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠙⠒⠛⢁⢠⠈⣿⣉⣹⡟⠷⢿⡯⠇⡽⠉⠀⠀⠀⢠⡟⠀⠀ ⠀⢀⡤⡾⢋⡰⠊⣱⠞⢋⡏⢠⡏⠀⠀⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⣀⠖⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⠌⣀⣨⣿⠋⠀⢀⣼⣇⡰⠃⠀⢀⠀⢀⡾⠁⠀⠀ ⠠⠈⠀⡇⠘⠀⡼⠃⠀⢸⡇⢸⡇⠀⠘⣿⠋⠻⡇⠀⠀⠀⠀⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢹⢹⣽⣶⡞⣿⣿⣹⠁⢦⠙⣍⡴⠏⠀⢀⡴⠋ ⠀⠀⠀⠱⣄⡼⡇⠀⠀⠀⡿⡌⣧⠀⠈⠛⠓⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⣽⠯⠽⠿⠛⠊⠹⣾⡷⠛⢉⣀⣤⠖⠋⠀⠀ ⠀⠀⠀⠀⠈⠀⠹⣄⠀⠀⣇⠈⢿⣆⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠈⠿⣍⠉⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠲⠴⠻⣔⡨⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢛⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠷⣖⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⢠⡾⠶⠦⠤⠤⠤⠞⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⠶⢤⣤⣤⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠟⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⣼⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⢀⡀⣀⣀⣤⠶⠾⢻⡷⢶⠦⣤⣤⣀⣀⣤⣤⡇⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⠉⠉⠉⠉⠀⠀⠀⠈⠓⡚⠒⠋⠁⠀⠀⠀⠀⢷⣆⣠⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
ᓬ(•⤙•)ᕒᰔᩚִ ࣪𖤐
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⣟⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⣹⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣠⣤⣤⠶⠶⠶⢶⣶⢶⠶⠤⣤⣄⣾⣁⡀⡿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣶⣦⣭⣭⣻⣳⠦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣭⣟⠲⢤⣀⠀⠀⠀⠀⠀ ⣾⣿⣿⣿⣷⡇⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⢹⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣽⡷⢦⡀⠀⠀ ⠸⣾⣿⣿⣹⠛⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⣸⢻⣦⡉⣹⠁⠉⠉⠛⠿⣿⣿⣿⣿⣿⣷⣝⣧⡀ ⠀⠈⠻⣿⡟⠀⠁⠉⠛⠳⠶⠤⢤⣤⠤⠶⠿⠛⣛⠛⠛⠀⠀⠀⢠⣀⡀⠈⠙⠻⢿⣿⣿⣷⣿ ⠀⠀⢠⣿⡇⠀⠂⠀⠀⢀⡀⠀⠤⠄⠀⠀⠻⣿⣿⠀⠀⠀⠀⠀⠂⢤⣙⠳⣄⡀⣸⢫⣿⣿⣿ ⠀⠀⢸⣿⢀⡖⠀⣾⡟⠻⣷⣀⣠⣤⣤⣤⣄⣘⠇⠀⣠⣶⣦⠀⠀⠀⠈⠳⡌⢙⡏⣼⣿⣿⡟ ⠀⠀⣼⡇⢸⣧⣤⣿⣧⡀⠹⠏⠁⠀⠀⠀⠀⠉⠻⣶⡟⢠⣿⠀⠀⠀⠀⢀⡇⣸⣿⡿⠟⠋⠀ ⠀⠀⣿⡇⠀⢿⣏⠉⢻⢿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣿⣇⣤⣄⠀⠀⣼⢰⣯⡇⠀⠀⠀⠀ ⠀⢸⣿⠀⢠⣈⣻⣿⣶⣤⠀⣀⣀⡀⠀⠀⠀⠀⢀⣀⢸⡟⣉⣴⡟⠀⠀⢁⣿⡾⠀⠀⠀⠀⠀ ⠀⢸⣿⠀⠈⣿⡟⠙⠛⠛⡘⠋⠉⠻⠂⢀⣀⠴⠟⠙⢛⣿⣿⡋⠀⠀⠀⣾⣽⠃⠀⠀⠀⠀⠀ ⠀⣾⣿⢸⠀⠘⠻⠷⡶⠿⢿⣷⣦⣤⣀⣈⡁⠀⣀⣶⣿⣉⣉⣿⡆⠀⢸⣿⡏⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⠸⠀⠀⢀⣀⣄⠀⣰⠏⣮⡹⣯⣿⣿⣿⠉⠈⠋⠛⠋⠉⠀⢠⣿⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⡇⠀⠀⠀⣿⣾⣿⡀⣿⠀⢸⣿⣿⣿⣿⢷⣄⠀⠀⠀⠀⠀⢀⡿⣼⠁⠀⠀⠀⠀⠀⠀⠀ ⢀⣿⡇⠀⣠⣤⣽⣿⣿⣿⣿⣷⣧⣿⡛⠛⠳⣤⣟⣀⡀⠀⠀⠀⡼⣹⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⡇⢸⣧⣾⣿⣿⠿⠿⢻⣿⢿⣯⠛⠶⠦⣼⣏⣽⣿⡇⠀⣰⣣⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⡇⠘⢿⣿⣽⣿⣶⣭⠉⣿⣆⡙⠷⣄⠀⠘⢿⣿⣿⠃⢠⣏⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⡇⠀⠈⢿⣿⣿⢟⣿⣀⠸⣿⣿⣦⣠⡦⣴⣄⣸⠏⢠⣞⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢷⣿⣤⡀⠀⠀⢰⣿⣤⣿⣷⠙⢿⣿⣿⣶⣿⣿⠁⠀⣾⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠻⢽⣳⣤⣀⣻⣿⠿⠋⠀⠀⠀⠙⠛⠟⠃⢀⣼⣹⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠛⠻⢽⣷⣖⣒⣦⣤⡤⠤⠖⢒⣋⣽⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠒⡉⡍⠁⢣⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠠⠀⣦⠁⠀⠀⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⣴⠒⠏⢀⠔⠉⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣁⡂⢄⡀⢏⣠⠔⠁⠀⠀⡇⠀⢠⠃ ⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣶⢃⠛⡿⡆⠨⠗⠀⠀⠀⠀⡸⠁⠀⢱⠀ ⢰⣌⠓⠒⠶⡦⠊⠀⠀⠀⠀⠀⠈⠛⠛⠛⠀⠀⠀⠀⠀⠀⠙⢿⡟⠃⢠⠃⠀⠀⠀⠀⣀⣴⣁⠀⢀⡜⠀ ⠀⠙⣦⢔⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⠖⠁⠀⠀⠀⠀⠘⢌⠉⠉⠉⠁⠀⠀ ⠀⠀⠙⢳⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠈⡄⠀⠀⠀⠀⠀ ⢀⡀⣤⢲⠀⠀⢀⢁⣀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣀⠀⠀⠀⠀⠀⠀⣼⣁⡉⠈⢹⠗⠀⠀⠑⢄⠀⠀⠀⠀ ⣇⠀⠘⠿⡈⠀⠀⡽⠟⠁⠀⠺⠖⠛⠛⠀⠈⠉⠙⠓⠀⠀⠀⠀⣰⠗⠚⠀⣀⠞⠀⠀⠀⠀⠼⡆⠀⠀⠀ ⠉⠒⠚⢶⢧⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡉⠁⠈⠉⠀⠀⢀⡠⠔⠂⠈⠀⠀⠀⠀ ⠀⠀⠀⠘⠾⣿⣦⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢛⣻⠷⠒⠒⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠀⠈⠁⠒⠀⠤⠤⠤⠄⠀⠀⠐⠀⠈⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
≽(• •)≼ ⌋ ⌊
ପ(˶•ᴗ•˶)ଓ ♡
(⸝⸝⸝╸w╺⸝⸝⸝),😋≽(◕ ᴗ ◕)≼
⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡤⠤⠤⠤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢴⠋⠙⠳⣤⡀⣠⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠉⠓⠤⡀⣠⡴⠟⠛⣷⠀⠀ ⠀⠀⠈⠳⢤⣀⢈⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢏⣀⣠⡴⠋⠀⠀ ⢀⣠⣤⣄⣄⣉⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⣡⣤⡴⣦⣀ ⢹⣅⡀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠁⠀⢀⣠⠏ ⠀⠈⠙⠉⢋⣉⣇⠀⠀⣾⣷⠄⠀⠀⠀⠀⠀⠀⠀⢴⣿⡆⠀⢀⣿⡙⠋⠋⠀⠀ ⠀⠀⢤⠶⠋⠉⢈⣦⡀⠈⠉axolotl⠀⠀⠀⠉⠉⠉⠀⠀⠀⠉⠀⣠⣎⠈⠉⠛⢷⡀⠀ ⠀⠀⠻⣤⣤⠶⠋⠀⠈⠑⠠⠄⣀⣀⣀⣀⣀⣀⡀⠤⠐⠉⠀⠈⠻⠶⠖⠶⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠤⡀⠀⡠⠤⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠉⠁⠀⠉⠉⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢀⠤⡀⠀⡠⢄⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠢⣀⣀⣀⣈⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⡇⠀⣎⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⡇⣸⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢎⠁⠀⠀⠀⠀⠀⠀⠀⠈⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⡀⣀⢀⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠁⢄⡀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠄⢄⡀⠀⠀⠀⠀⢀⣷⠤⠤⠔⠒⠒⠒⠒⠢⣄⠀⡀⠄⠄⠁⠀⠀⠀⠀⠀⠀⠀⡀⣀⡠⠄⢄⠔⠃ ⠀⠀⢀⠤⠂⠁⠁⠁⠉⠁⠁⠉⠈⠁⠁⠁⠙⠑⢲⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡦⢄⣄⢔⠆⠆⡁⡁⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⡿⠂⠀⠀⠀⠀⠀⠀⠀⠀⡶⠂⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠆⡄⠀⠀ ⠀⠀⠀⠉⠐⠐⠐⠀⠄⠠⠠⠀⠄⠄⠄⠂⡒⠶⢻⠀⠀⠀⠀⣄⣀⣀⠔⠀⠀⠀⠀⠀⡸⠑⠂⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠐⠈⠀⠀⠀⠀⠙⡢⡀⡀⠀⠀⠀⠀⠀⠀⠀⡠⠊⢇⡀⠀⠀⠈⠑⢄⡀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠂⠀⠀⠀⠀⠀⠀⠀⣠⠋⠀⠀⠀⡞⠉⠉⠉⠉⠁⠈⡆⠀⠀⠀⠁⢄⠀⠀⠀⠀⠀⠁⠐⠫⠁⠉⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠰⡁⠀⠀⠀⠀⠀⢀⠴⠁⠀⠀⠀⠀⣰⠁⠀⡦⡀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠡⡀⠀⠀⠀⠀⠀⠀⠉⡂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠤⠄⠤⠊⠁⠀⠀⠀⠀⠀⠀⠀⡇⠀⢠⠀⠀⢉⠷⠀⠀⢇⠀⠀⠀⠀⠀⠀⠁⠂⣀⠀⠀⠀⢠⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠠⠇⠊⠁⠀⠀⠀⠀⢘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⢤⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠆⠀⠘⡄⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠁⠃⠂⠒⠓⠀⠘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⡦⢄⡀⠀⠀⠀⠀⠀⠀⠀⠐⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠀⠀⠀⡅⠀⠀⠀⡩⠂⠀⠀⠀⠀⢀⢀⡟⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠓⠊⠁⠀⠀⠀⠀⠀⠰⢍⣀⠀⡁⠀⠈⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠢⠄⠤⠔⠒⠒⠢⠤⠄⠄⣀⡀⡀⡠⠄⠔⠒⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡖⠒⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠰⠉⠁⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⡀⡀⡀⠀⠀⠀⠀⠀⠀⡀⠌⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⠁⠀⠀⠀⠈⠂⣀⣀⡀⡀⠄⠐⠀⠁⠀⠀⠀⠀⠀⠀⠈⠐⡒⡀⠀⠁⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡅⠀⠀⠀⠀⠀⠀⠠⠈⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠄⡀⠀⠀⠀⠀⡀⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡂⠀⠀⠀⠀⠠⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣠⣤⣤⣜⠀⡀⡀⡀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡂⠀⠀⠀⠀⠀⣠⠖⠃⠀⠀⠀ ⠀⠀⠀⠀⢀⢀⠨⠩⠁⠃⡁⠁⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠄⠀⠀⠀⡀⠂⠀⠀⠀⠀⠀ ⠀⠀⡀⠁⠁⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢄⠀⠀⠀⠀⠀⠀⠀⠀⣄⠄⠂⢓⠈⠉⠛⠁⠁⠓⡆⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⡁⠀⠀⠀⠀⠄⠤⢄⢀⢀⡀⠆⠃⠉⠀⠁⠒⠤⠤⠤⠤⠔⠁⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⡇⠀⠀⠀ ⠀⠈⠢⣀⡀⠀⠀⠀⡀⡤⠖⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠄⠐⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠉⢁⠩⠁⠀⠀⠡⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡁⣜⢁⣁⡈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡔⠁⠀⠀⠀⠀⠀⠀⢓⠂⠰⢀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠡⡀⠀⠀⠀⡠⠄⠊⠁⠀⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⢀⠇⠀⠀⠀⠈⡜⠄⠄⠦⠄⠠⠀⠄⠄⠂⠓⣟⠉⠈⠀⠀⠀⠀⠀⠀⠀⡂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠐⡀⠀⠀⠀⠀⡔⠁⠀⠀⠀⠀⠐⠀⠄⠁⠀⠀⠀⡔⠀⠀⠀⠀⠀⢂⠀⠀⠀⠀⠀⠀⣀⡤⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠂⠂⠒⠃⠀⠀⠀⠀⠀⢀⢁⠁⠀⠀⠀⠀⠀⡅⠀⠀⠀⠀⠀⠀⠄⠀⠀⡀⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⡅⠀⠀⠀⠀⠀⡐⠁⠀⠀⠀⠀⠄⠄⠸⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠅⡃⠀⠀⡀⠄⠁⠀⠀⠀⠀⠀⠀⠀⠀⢘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠅⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢃⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠌⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠂⠀⠀⠢⣄⡠⠀⠀⠀⠀⡀⡕⠁⠀⠀⠀⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠅⠀⠀⠀⢀⠂⠁⠁⠁⠉⠁⠀⠈⠑⠄⠀⠀⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡴⠒⠒⠒⠠⢄⣀⠁⡁⡢⠀⣀⡴⠒⠋⠉⢳⠀ ⢠⠃⠀⠿⣆⡤⠖⠋⠁⠈⠉⠛⠓⠲⠤⣄⣘⠃⠀⡇ ⢳⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣹⠁ ⠀⣇⠦⣤⡀⠀⢰⡆⠀⠀⠀⢰⠔⠀⠀⢀⣴⡏⠀⠀ ⠀⠀⠙⠲⣄⡀⠉⠉⠉⠉⣉⣉⣉⣩⡬⡚⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀ ⠀⠀⠀⠐⠀⠀⢀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀FROGG???⠀
⠻⢿⣿⣿⣿⣿⢫⣴⣼⣧⡧⣧⢡⠄⠀⣽⡣⡔⢠⣰⣀⡀⠀⠀⠀⠀⠀⠀⡀⢠⡀⠀⠀⠀⠀⠀⠀⠠⢐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢣⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠯⢁⡳⠌ ⢸⢈⣿⣿⣿⡴⢯⣝⠋⡽⢐⢓⣾⠆⠀⡸⠓⢌⡆⠀⠈⣛⠤⠋⠔⠂⠀⠀⢹⡒⣿⠁⠀⠀⠀⠀⣀⢄⣠⢂⡬⣵⣠⣒⢵⡪⣝⡹⢦⣇⣖⢢⢆⢠⡘⢤⠒⣔⡂⠄⠐⠰⢠⠀⡀⠀⣄⣾⠄⠂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠗⣀⠘ ⣿⣾⠿⡿⡿⣼⠧⢏⣠⣴⣭⣶⡶⢦⣶⣳⣲⢮⣞⣷⡾⣆⠦⣄⢄⢊⡀⢠⡴⣭⠿⡀⠀⠰⢎⡽⡹⢎⡳⣋⡞⣵⢣⣟⣷⣻⢾⡝⣧⢟⡾⣷⣾⣧⣝⣎⣳⡘⢀⠣⣀⠐⡀⢸⣤⡿⣻⣿⡀⠀⣂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⢹⠂⢧ ⡟⢹⠿⡛⠱⢾⣋⣽⡿⡘⡁⢘⡷⣿⢻⣿⣯⣻⣽⣾⣟⣧⡻⡼⣎⢷⣻⠿⣻⢧⢿⣱⣏⣷⣫⠶⣝⢧⣟⡷⣻⣯⣟⡾⡾⡽⣯⢿⣹⢿⣾⣳⣽⣾⣟⣯⢳⣝⡩⢟⡡⠀⡐⢸⣋⣷⡿⠛⣷⠀⢾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣏⡿⠾ ⠀⠀⠐⣋⣸⣏⡹⠺⠑⢃⣶⣿⣿⣿⣯⣿⣿⣟⡿⣾⣽⣟⣷⢻⡼⣞⣬⡳⣝⣮⡗⣧⢞⣷⣫⣟⡜⣎⢾⣱⢤⣺⢭⣻⣵⡿⢽⣳⢯⡻⣜⣻⡿⣞⡳⣯⡟⣾⡱⣯⣱⣿⠼⣶⡿⢟⣿⠄⣿⡀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡵⢄ ⠂⠀⠐⡀⣱⠖⡰⢵⢹⣶⣿⣿⣿⡟⢳⣿⣿⣾⣿⣿⣿⢿⣹⢷⡻⣽⢷⡻⣽⣎⣻⡼⣻⣼⢳⣿⢿⡜⣯⣝⡫⢗⣫⠳⢿⣄⣾⡿⣿⡽⣎⢷⡻⣽⣦⡹⣽⢻⣿⣿⣿⣛⣾⣿⣿⣹⡏⠀⢹⠿⡄⢱⠀⠀⠀⠀⢦⡀⠀⠀⠀⠀⠀⡤⢁⠀ ⣇⡀⠀⠃⠟⣠⣟⡠⢿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣻⢿⣿⣿⣿⢧⣄⣿⢧⡻⣜⡻⣿⡸⠟⣼⣿⡿⣇⢿⣻⡟⣤⣟⢧⠘⣧⢻⣧⡿⣟⣧⢿⣣⣟⣿⣻⣿⣿⣿⣧⣿⣿⣿⣿⣿⠇⠀⢸⡇⠇⢸⡇⠀⠀⠀⢸⣇⠀⠀⠀⠄⠀⣧⠘⠀ ⢾⠁⢀⠬⡼⠵⣠⣼⢿⣿⣿⣿⣿⣆⣿⣿⣿⢿⣻⣾⣻⢿⡿⣿⡯⠷⣯⣞⣯⠷⣏⢷⡳⣽⢳⣜⣣⢿⡿⣷⢦⣹⡳⣯⢧⣸⢃⡟⣼⢳⣻⡽⣯⣟⣿⣾⣳⢻⣿⣿⣿⡿⣿⣿⣿⣿⠀⠀⢸⣿⡀⠸⣧⠀⠀⠀⠈⢻⡄⠀⠀⠀⣸⣧⡔⣼ ⣤⡴⠃⠼⣝⡷⣰⢾⣯⣾⢻⣽⣿⣿⣿⣿⣯⢿⣯⣟⣿⣋⣷⣿⣿⣿⣲⢭⣞⡿⣼⢳⣝⢮⡟⣾⣝⡮⢿⡞⣯⢧⣝⡱⣧⢎⣧⣻⣬⡿⣽⢿⣷⣾⡽⣯⢷⡿⣿⣿⣿⣿⣿⣻⣿⡟⠒⠒⠈⣿⡇⠀⣿⢲⠀⠀⢀⠀⢿⠀⡀⢀⣿⡷⠖⠁ ⠟⠀⣈⢏⢛⣼⡍⣞⣉⢟⣯⣿⣿⣿⣿⣿⢯⣿⣷⣯⡟⠿⣯⡟⣿⣿⣿⣷⢮⣛⡶⣏⣞⡧⣟⡵⣿⣻⠯⣟⣯⢿⣾⢵⢣⡼⣭⣷⣟⣳⠞⣏⣻⣽⣿⣿⣯⣿⣽⣿⣿⣿⣯⣗⣿⣿⠇⠐⢸⣻⣿⣦⢿⣿⠀⠀⠸⡇⠀⠁⢳⣼⡟⢃⠠⣌ ⠀⠀⠐⠾⣽⢰⣛⣤⣟⡿⣿⣿⣾⣿⣿⣽⢻⢾⣿⣿⣿⣟⢯⢿⡽⣞⣿⣿⣿⣯⣯⢽⣙⡶⢥⣾⢳⡝⣞⢧⣹⢯⣛⢿⠻⣟⡿⠹⣤⣉⠙⠲⣝⢺⠷⣯⣾⡽⣞⣿⣻⣿⣿⣿⣿⣿⠀⢸⣾⣿⣿⣯⣿⠱⣶⠀⠀⡦⠀⠀⠀⢿⣶⣮⡄⠹ ⠴⠀⠀⢾⢽⣻⡼⢻⣼⡹⣿⣿⣿⣿⣟⣾⣻⣞⣷⡟⣾⣽⡾⣧⠻⣽⡾⣽⣻⢮⣹⡷⣼⢿⣳⣼⢯⢟⡬⢟⣧⣛⣹⣾⢿⣿⢿⣫⣙⠾⣹⢫⢗⣸⡻⠽⣎⣉⢿⣼⡿⣹⣿⣿⣽⡿⢠⣼⣿⣿⣿⣿⣿⠀⢹⡇⠀⠡⣧⠀⠀⢸⣿⣿⠁⡞ ⣶⠀⠀⠹⣞⣿⢽⣫⡟⠵⣹⣿⣿⣿⣟⢿⣳⣟⡞⣽⣷⣯⣷⡞⢻⣧⣟⣾⣽⣾⢓⣯⣓⡽⣺⣞⡎⠿⣸⡚⣌⣻⡽⢯⠼⣹⢺⣿⣭⠳⣜⣻⣬⡟⣇⢻⣟⣿⡿⣭⣴⣿⣯⣿⣿⣏⠀⣾⣿⣿⣿⣿⣧⠀⣼⢣⠄⠀⠀⣢⠀⠈⣿⡟⠴⣒ ⣿⣖⠀⠀⣹⢯⠕⢞⣼⢾⣿⣿⣿⣿⣾⣫⣟⢾⣙⡿⠟⣾⣿⣿⣿⣿⣻⣿⣻⣿⣞⣶⢿⣞⣷⣾⣙⡶⠅⡑⢭⣷⢻⢏⡾⢥⣳⢬⡟⣧⠜⣱⣛⢯⢟⣻⡼⣿⣻⣿⣿⣿⣧⣿⣿⡇⠛⣿⣿⣿⣿⣿⣿⣆⣸⡾⢀⠀⠀⢨⢀⠀⢸⡟⠓⣧ ⠿⣽⣦⠀⢹⣾⣿⣟⣠⣾⣿⣿⡿⣞⣵⣛⣮⠯⣕⣯⣿⣻⡵⣿⢾⡵⣿⣿⡿⣿⣿⣷⠯⣜⠓⣯⣻⣼⣚⢗⣹⣞⢻⡬⣀⢰⢡⠮⣴⠧⢿⢣⣟⣿⡚⠦⠿⣵⣿⣿⣿⣿⡽⣶⣿⡇⢀⣿⣿⣿⣿⣿⢻⣿⡿⡇⣽⠀⠀⠈⠈⠀⠘⣇⡴⣭ ⣷⣿⢷⡀⢸⣿⣿⣯⣿⣿⣿⣿⣜⣧⡛⣾⢼⣷⢿⠻⣧⣻⣝⣯⢻⣼⡿⢧⣛⠶⣿⣿⣷⣉⢳⠺⡵⣶⣛⣾⢥⣲⠯⣯⡵⡞⣿⣿⢳⣖⡿⣿⣼⣿⢿⣤⣔⢘⣳⣋⢿⡜⣹⣿⣿⡇⠀⣼⣿⡿⣿⣿⣿⢹⣏⠳⣶⠀⠀⠁⠀⡌⡂⢻⢹⣿ ⣿⣿⣿⣧⣿⣷⣿⣿⣿⣿⣿⣿⠛⣛⣻⡿⡋⠘⣤⣾⡟⣧⣟⠶⣾⣿⡿⢽⣬⢳⢒⡻⣯⢿⣦⡹⣟⡶⣯⣟⡷⣥⡛⡭⣵⣏⣛⡛⣯⠏⢥⡿⢺⣿⣵⣯⢹⢉⠳⣊⠵⣸⢆⢯⣿⣷⠀⢼⣿⣿⣿⣯⡿⣸⣿⡆⢹⡀⠀⠀⠀⠀⠈⢌⣿⣿ ⣿⣿⢿⣭⣿⣿⣿⣿⣿⢿⡟⣞⣉⣿⣁⣧⢧⣿⣏⣷⣛⣷⢾⣿⣿⣷⣟⣯⣜⠣⢖⡀⠄⢺⣿⣿⣿⠻⣽⣽⢞⣏⡗⠉⣲⢾⡍⡀⢉⣿⡿⢧⡿⢃⣿⣿⠀⠊⢂⢏⣰⡡⢿⢂⢹⣷⠀⣸⣿⣏⣿⣿⣏⡷⣿⡗⠘⣧⠀⠀⠀⠈⠀⠘⣶⣿ ⡿⣭⣿⣿⣿⣿⣿⡿⣯⣿⣼⣿⣳⠿⣿⣿⣿⣿⣷⣿⣙⣇⣹⠏⢿⣿⣿⣿⣻⢟⢻⢳⣤⡼⣿⣛⠛⠷⣾⣙⣿⣴⣻⣝⣣⣷⠓⣷⣾⣿⡃⢨⣟⠻⣿⢏⠠⡤⠌⣸⠀⠁⠛⠢⢈⣷⣾⣽⣿⣿⣟⣾⣿⣇⣿⣷⠀⢽⡆⠀⠀⠀⡀⠀⢸⣿ ⣧⣿⣿⣿⣿⡿⢿⠳⣿⣭⣿⣿⣿⣶⣯⡿⢯⣿⣍⡿⢛⡿⢋⣴⣾⡿⠿⣿⣿⣾⣼⣮⣿⡃⣿⣿⣶⣄⣹⡿⣿⣏⠻⣿⣿⡟⣶⣹⡿⣫⣷⠞⠛⡒⣿⠨⠂⡁⠀⢿⡆⠀⠂⠀⣼⣿⠏⢹⣿⣿⣽⣿⣿⣿⢿⣿⣆⣾⠃⠀⠀⠀⠃⠀⠸⣿ ⣿⢽⣿⣿⠿⡞⢯⢾⣿⣿⣿⣷⣆⣸⣾⣷⣺⣿⢯⣿⠿⠁⢺⣿⣿⡹⢂⠗⡶⣭⡛⠷⢿⣇⠳⣬⣉⣻⡟⠀⢹⣿⣦⣏⣽⣷⡷⣺⣿⠯⣇⢯⡘⡼⢧⠙⣡⠜⠀⣿⡅⠀⢠⣿⣿⣿⠂⣹⣿⣿⣿⣽⣿⡿⣏⣿⣯⣿⠀⠀⠀⠀⠀⠀⠀⣿ ⣿⣿⣿⡿⢍⣏⢹⢘⡿⣿⣿⢶⡾⢟⠿⡏⣽⣧⢏⡣⣀⣰⣿⠛⡲⢇⡋⠂⢩⡉⠿⣶⣾⣿⣷⣤⡄⠀⠔⠂⠸⣾⣿⣟⠻⣾⣿⡖⠈⢱⡇⢷⡻⣞⣥⡻⣔⢧⣼⡿⠀⠀⣼⡏⢹⣿⡃⢼⣿⣷⣿⣿⣿⣿⣟⢿⣯⠻⠀⠀⠀⠀⠀⠀⠀⣽ ⣿⣿⣿⣯⢿⡀⣁⣊⡒⣧⣛⢣⣵⣬⠿⠾⣿⠋⠀⠱⢠⣏⣇⢫⡱⡀⠟⠀⠁⡓⠠⢅⡎⡙⢟⣺⣷⣠⠋⠔⢋⠙⡾⣱⣓⡿⢿⣿⡙⣷⡹⣎⡵⢻⣜⡷⣘⢮⣿⠁⠀⣰⠋⠁⣸⣿⡅⣾⣿⣯⣿⣻⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⢰ ⣇⠹⣿⡿⢲⠻⣿⣯⡵⠒⢁⣾⣿⠖⠋⢃⣿⣂⣦⡴⠲⣷⣎⡳⢑⠡⣐⢰⠀⡁⡌⠀⠴⡩⠼⣆⡹⣿⣋⢟⠦⡳⢼⡏⢉⠓⡀⠙⣧⢛⣽⢧⡍⣟⣮⣟⡷⡿⠃⠀⣴⠃⠀⣶⣿⣿⡃⣾⣿⡿⣿⣿⣽⣿⣿⣿⣿⣏⣧⠀⠀⠀⠀⠀⠀⢈ ⣧⠀⢼⣧⠸⠰⢮⣡⡄⠿⣃⠈⡋⠄⠈⠈⠻⢿⣦⡽⠆⡈⠻⣿⣊⡵⢂⣈⡌⢂⡀⢁⠢⣽⠇⡄⡔⣚⡈⣦⠋⣵⢊⢸⢯⣄⢧⠀⣈⣿⡯⢷⡝⡞⠱⣫⣿⠃⠀⣴⠃⠠⢜⣿⣿⣿⠡⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⡇⠈⠀⠀⠀⠀⠀⢀ ⣿⣆⡸⣿⡆⡀⣘⣿⣿⣷⣤⣈⠱⠀⠀⠀⠀⠀⠉⠁⠦⠀⠀⡈⠙⠿⣭⣞⡲⣅⠊⠅⠦⡘⣯⢍⡤⢌⠳⣞⡷⣚⣧⡲⠶⢮⣿⣽⣿⢂⡿⠷⠓⢈⣾⣿⠃⠀⣸⠏⠀⣴⣿⡿⣿⣿⠐⣿⣿⣟⣿⣾⣿⡸⣿⣿⣿⣿⡿⡟⠀⠀⠀⠀⠀⠀ ⣿⣿⣷⡏⠁⠈⠁⢸⣷⢯⣟⡽⣻⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢦⡈⠙⠛⠾⠧⣬⣤⣅⣊⣈⣀⡀⢃⣉⠙⠃⠢⠓⣁⠂⠉⠛⠛⠉⢀⣠⡴⢿⣿⠃⠀⣼⣇⣤⠟⣱⠿⠿⣻⣿⠀⣿⣿⣪⣼⣿⣿⣇⣿⡿⣿⣹⣿⣇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣧⣀⠀⠀⢸⣿⣟⡿⣒⢷⡞⡓⣯⣷⣤⣀⡀⠀⠀⠀⠀⠀⠀⠉⠉⠲⣶⡤⣤⣤⣌⣉⡉⢩⡍⠉⠉⠉⠛⠛⠛⠛⠒⠲⠒⠚⠚⠉⣉⣤⡾⠁⣠⣾⣷⣿⠇⠀⠈⠀⢰⣿⣿⣷⣺⣿⣿⣿⣿⣿⡿⣿⣷⣿⣿⣿⣿⡆⠀⠀⠀⠀⠈ ⣿⣿⣿⣿⣿⣷⣦⣾⣿⢾⣽⡹⢾⣧⠹⣮⣷⡀⠀⠙⠳⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠿⠽⣿⡳⠶⢿⣓⠶⣄⠀⠀⠀⣠⣤⣶⡿⠛⡡⣀⣴⣿⣷⣾⣿⠀⠀⢰⣤⣾⣿⣿⣿⣿⢿⣿⣿⣾⣿⡿⣿⢷⣿⣿⣿⣧⡇⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⢾⡽⣣⣛⣧⠈⢳⣿⣆⠀⠀⠀⠉⠙⠶⣤⣄⣀⠀⠈⠶⠀⠀⠀⠀⠀⠀⠀⠀⠰⠄⡉⠙⠛⠛⠿⠟⠛⠉⣡⣤⣴⣿⢿⣿⣿⣿⣿⣿⠀⢀⣿⣿⣿⣿⣿⣫⣿⣿⣿⣿⡹⣿⣿⣯⢯⢿⣿⣿⣇⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣷⣿⣿⣿⣿⣿⣭⡟⣷⢣⡯⣝⢷⡄⠹⣿⡷⠀⣧⡀⠀⠀⠀⠀⠙⠛⢦⣄⡀⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣿⣷⡿⣿⣿⣾⣿⣿⣿⢿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣏⣧⠀⠀⠀⠀⠀ ⣿⣿⡇⣶⢻⢻⣿⣿⣿⣮⡝⢺⡝⢳⣭⠛⣿⡄⢹⣿⡄⠈⢳⢲⣶⣶⣶⣶⣶⣾⣿⣿⣷⣶⣶⣤⡄⠀⣤⡄⢠⣤⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢹⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀ ⣿⢿⣹⠻⣐⠊⢛⢻⣿⣿⡹⣎⡳⡝⣼⢫⣜⢻⡄⢹⣷⣤⡀⢀⣀⠀⠈⠉⢻⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣛⠿⠿⢿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀ ⣿⠿⣿⣟⢿⡿⣿⣾⣯⣽⣿⣧⣝⡞⣥⢯⣜⢧⡚⣄⠹⣻⠷⣄⣈⠙⠲⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣧⣿⣿⣛⡿⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣻⣿⣿⣿⣿⣿⣿⣿⣷⡇⠀⠀⠀⠀⠀ ⠿⢝⣄⣻⢋⣻⣯⣭⣿⣿⣽⣿⣿⣿⣾⣜⣮⢳⡙⠤⠋⣡⠘⠪⣍⢻⡆⣄⢀⠀⠀⠀⢀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢌⣿⣿⡙⡿⣅⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⡿⢿⣿⣿⣿⣿⣿⣿⣿⢁⠀⠀⠀⠀⠀ ⢹⣊⢻⣿⣿⠛⢋⣿⣉⣻⡛⣿⣿⣿⢿⣿⣾⣷⣯⣶⣞⡁⠓⣆⡈⠺⢿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣷⣿⣿⣽⣷⣾⣿⣿⣿⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀ ⢚⡾⢿⡖⠉⣿⠫⣾⣿⣟⣿⣿⣿⣾⣷⣿⣿⣿⣿⣿⣇⣹⣧⣍⣳⣤⡄⠈⢻⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⡿⣿⣏⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢷⣿⣿⢿⣿⣿⣏⡀⠀⠀⠀⠀ ⠂⠻⠶⣞⣛⣠⣴⣏⣽⣻⣿⣿⢟⣹⡟⣯⠛⡿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⣿⣿⣿⣿⣿⣿⣿⣳⣴⣽⣿⡝⢻⣿⣿⣿⣭⣿⣿⣿⣱⣿⣯⣟⣫⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣏⡿⣽⢹⣿⣿⡇⠃⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⢀⣴⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠶⣤⣄⡀⠀⠀⠀⢠⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣷⡀⠀⠀⢸⠞⠁⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⢆⠀⢀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢳⡀⠀⡎⠀⣀⣠⠾⣉⡡⠄⢀⣵⠔⠒⠛⠒⢲⣖⣶⣦⢶⣤⡤⠚⠛⠛⠒⢾⣤⠒⠚⠛⠓⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⣿⠉⢿⡏⠀⠘⠂⢠⡟⢁⣤⠶⠛⠁⠸⠿⣿⣤⠿⠛⠁⠀⠘⠳⣦⣄⠸⡟⠉⠒⢴⠾⠟⠓⠢⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣶⠛⢷⣀⣿⡇⠀⢸⠃⠀⠀⣴⠟⠁⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠤⡀⠀⠘⢧⡀⠀⠀⡘⢶⣲⣼⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣀⡠⠋⠹⣠⡤⠬⠈⣣⣿⠀⣮⠶⠛⣹⠃⠀⠀⠈⠢⠤⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠐⠃⠀⠀⠈⢳⢶⣾⣠⡿⣝⣸⣷⣠⣤⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⣿⣷⣷⣄⣀⣀⡠⠴⠊⠸⣿⣇⡇⣀⢴⠇⠀⠀⠀⠀⠀⠀⡠⠒⠀⠀⠀⠀⠀⠈⠁⠢⣀⠀⠀⠀⠀⠀⠀⠘⡏⠁⢹⠋⢰⣿⠟⠻⠭⠽⠢⡀⠀⠀⠀ ⠀⠀⠀⠀⣯⡿⠏⠻⣧⣄⠀⢠⣀⡠⣠⠋⠉⠉⡀⡟⠀⠀⡀⠀⠀⣠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⡀⠀⠀⣰⠃⠀⢻⠉⠉⠲⢴⡟⣍⠲⠒⠂⠉⣵⡄⠀⠀ ⠀⠀⣠⣴⣉⡓⠦⠤⣇⠻⣷⣏⡠⠚⠁⢴⡦⠈⡄⡇⠀⠀⢱⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⡼⠁⠀⢀⡾⠀⣀⣤⣄⣻⣈⡿⠂⢠⠆⠀⢉⣷⡀ ⢠⣾⣿⠿⣤⡉⠉⠉⢀⡤⣿⣩⣤⡀⠀⣠⣴⣾⣿⣛⣢⡤⢮⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣀⣵⠤⠴⠊⠀⠸⠿⠿⠛⠀⠿⣤⣸⣿⣾⣄⣿⣿⡇ ⢸⠻⣿⡿⢋⡵⠐⡎⠁⠀⣾⣾⣏⢡⣾⠯⠫⡝⣉⡿⠟⠁⠀⠀⠠⠍⠉⠙⠓⠒⠒⠒⠒⠒⠒⠒⠛⠉⠉⠁⠀⠀⠀⠀⢠⣴⣶⡦⢀⣦⠀⠀⣠⠟⠋⠉⠛⠁⡜⠁ ⢘⡇⠈⠉⠻⣄⡀⢹⣤⡤⠟⠙⠛⠺⣭⣉⠉⢉⣀⡀⠀⠀⠀⡀⠀⣠⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠉⠁⣦⡏⣿⣶⠛⠁⠀⠐⢶⢀⣾⠶⠀ ⠈⠓⡄⠀⠀⠀⠈⠉⠁⢠⣶⣤⡄⠀⠀⠈⣝⢋⡷⠂⠙⣤⣄⣻⠿⢿⣾⠄⠀⠀⠀⠀⠀⠲⣦⣀⣾⠀⠀⢀⣸⣶⣿⢿⠤⠶⠚⠻⠇⠁⠃⢀⣠⣀⠀⢀⡠⠃⠀⠀ ⠀⠿⢤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠲⠁⠀⠀⠉⠑⠒⠒⠁⠀⠈⠀⠈⠛⠉⠉⠁⠒⠒⠚⠓⠻⠹⠙⠉⠉⠉⠉⠉⠁⠀⠀⢠⣤⣄⣀⡀⠀⠈⠁⢸⡊⠁⠀⠀⠀⠀ ⠀⠀⠈⠋⣬⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⡀⠴⠐⠎⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠢⠄⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢚⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠳⠒⠶⠐⠢⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠖⠐⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠳⠤⣄⢀⡠⡀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⣀⠀⠀⠈⣦⡄⠐⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠉⠀⠀⠀⠀⠀⠀⠛⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀𓍊𓋼𓍊𓋼𓍊𓍊𓋼𓍊𓋼𓍊🐸˙ᵕ˙🐸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠤⢶⢒⣚⣛⡛⠓⠲⢤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣛⣲⠶⠤⣤⡤⠖⠋⠉⣀⡤⠖⠋⠉⠉⠉⠉⠙⠶⡀⠙⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⢽⡆⠀⠀⣠⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠸⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⣿⣹⣿⣿⣿⣟⡾⠁⣠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠂⠙⠦⠼⠛⠋⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡷⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⢿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⡟⠀⠀⢠⣄⡀⠀⠀⠀⠀⠀⠀⠈⠙⠲⢤⣀⣀⣀⠀⠀⠀⣀⣀⣠⠶⠛⠁⠀⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⠿⠀⠀⣰⣾⠇⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⣼⢁⣤⣦⡀⠀⠀ ⠀⠀⣰⠃⠀⠀⠐⠿⢿⣄⣀⠀⠈⠇⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠤⠶⠒⠒⠒⠲⠤⣄⣸⡿⠋⢛⣿⣷⠀⠀ ⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠈⠙⠀⠀⠀⠀⠀⢀⣠⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣧⠴⠚⠉⠁⠀⠀ ⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡀⠀⠀⠀⠀ ⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀ ⣇⠀⠀⠀⠀⠀⠋⠉⠉⠉⠓⠦⣞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀ ⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀ ⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠋⠉ ⠀⠀⠀⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠧⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣶⣋⣀⣀⡤ ⠀⠀⠀⠀⠀⠀⠙⠒⠦⣄⣀⡀⠀⠀⠀⠀⢠⣿⡛⠒⠲⠦⠤⠤⠤⠤⠤⠶⠒⠒⠒⠊⠉⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⠶⠿⠷⢶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠟⠙⠳⣦⡄⠀⠀⠀⠀⠉⠻⣦⢤⣤⣤⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠀⣢⣶⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠷⠦⢤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠀⠀⢹⣿⣷⣾⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠿⠦⠤⢤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣠⠟⠋⠀⠀⠀⠈⠻⠿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠙⠻⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣤⡀⠀⠀⠙⣷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⣿⣿⣿⣿⣿⡿⠇⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀ ⠀⢀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠑⠒⢲⠒⠒⠒⠶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⣁⣀⣀⠀⠀⠀⠀⠸⣷⡀⠀⠀⠀⠀⠀ ⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⡀⠀⠀⠀⠉⠛⣶⣤⣄⣀⣀⣠⣤⡾⠀⠀⠀⠀⢶⡀⠀⠀⠉⠉⣿⣄⠀⠀⠙⣧⠀⠀⠀⠀⠀ ⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⢶⡴⠶⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠓⠖⠶⠾⠛⠁⠀⠀⠀⠸⣧⠀⠀⠀⠀ ⠀⠀⠘⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⠀⠀⠀ ⠀⠀⣰⠞⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠞⠋⠁⠀⠀⠀⠀⠀⠉⠛⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣇⠀⠀ ⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀ ⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡀ ⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇ ⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠘⣷⡀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇ ⠀⠘⢷⡄⠀⠀⠀⠀⠘⣦⠀⠀⠀⠀⠈⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀ ⠀⠀⠀⠙⣷⡀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠹⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡾⠋⠀⠀ ⠀⠀⠀⠀⠀⢙⣷⣤⣀⠀⠈⠳⣄⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⢀⡴⠟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣴⠞⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠿⣷⣴⣽⠛⠳⠶⣮⣿⣦⣄⡀⢨⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⢀⣴⠞⢁⡀⢀⣄⣠⣤⣤⣴⠶⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠋⠉⠉⠉⠛⠛⠛⠻⠶⠶⠶⠶⠶⠤⠤⠤⠷⠶⠶⠾⠟⠛⠛⠛⠋⠉⠙⢧⣤⣮⡿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡾⠟⠉⠈⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⢛⡵⠟⠀⠀⢠⣾⠃⠀⠀⢀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⣀⡠⠖⠒⠒⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡤⠞⣁⡴⠋⠀⢀⣠⣴⡿⠓⠒⠛⠋⠁⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠉⠢⠤⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⢎⣤⣾⠟⠁⣠⣔⣩⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣆⠀ ⠀⠀⠀⢀⡠⠊⢡⢾⣿⣫⡴⣿⡟⢈⣤⡠⠴⠘⠒⠒⠒⠂⠺⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⣠⡶⣦⡒⠶⠂⠀⢀⡀⢴⣶⠈⡆ ⠀⠀⢰⠃⢀⣴⡿⡿⠏⢈⣴⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⣵⣿⣿⣿⣦⠒⠉⠀⠀⠀⢀⣰⠃ ⠀⠀⠀⠒⣿⣿⣿⣾⡯⠟⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⣿⣿⣽⣿⣾⣿⠏⠀⠀⢀⣠⣶⠎⠁⠀ ⠀⠀⠀⡸⡾⣵⣟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⢄⣀⣠⠶⠖⠈⠉⠉⠀⠀⠀⠉⠓⠛⠉⢀⣠⢶⡿⠛⠁⠀⠀⠀ ⠀⠀⢰⢳⡮⠛⠁⠔⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣬⠶⠛⠋⠁⣀⠎⠙⢆⠀⠀⢀⣴⣬⣦⣤⣤⡶⠟⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⢱⠛⠁⠰⠉⠁⠈⠉⠒⢤⡀⠀⠀⠀⠀⠢⠛⠁⠀⠀⢀⡴⠁⠀⢀⠎⣀⠔⠋⢉⣠⡞⠉⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀ ⢰⠉⠉⠙⠒⠤⣀⠀⠀⠀⠀⠀⠙⠳⣄⠀⠀⠀⠀⠀⠀⢀⠎⠁⣠⠶⠑⠋⢀⣠⠔⢫⠷⡤⠤⠤⡒⣶⠮⣫⢕⢆⡀⠀⠀⠀ ⠘⣄⣀⠀⠀⠀⠀⠙⠲⢤⡀⠀⠀⠀⠙⢧⡀⠀⠀⠀⠀⡏⠀⠚⠓⠤⣔⠊⠉⠀⢠⡚⡿⠀⠀⠀⠘⢎⢷⠀⠈⠓⠂⠀⠀⠀ ⠀⠈⠳⣕⢄⠀⠀⠀⠀⠀⠉⠳⢤⡀⠀⠀⠳⡤⠦⢤⣴⠚⢦⡀⠀⠀⠈⠙⠦⣄⠀⠀⠀⢀⠴⣉⣹⠌⣏⣽⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠳⢷⡦⣀⠀⠀⠀⠀⠀⠙⢢⠀⠀⢱⡶⡷⠛⠀⠈⠛⢶⢄⠀⠀⠀⠈⠑⡖⣺⣁⣞⠽⣴⣲⡭⠭⢽⠋⢢⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠳⢭⣒⠤⣀⡀⠀⠀⠀⠀⢀⡗⢟⣢⠤⢀⣀⣈⠳⣕⢄⠀⠀⢀⡺⠁⢀⣰⣊⣹⡥⢰⡲⠒⣻⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠚⠻⢭⡉⠉⠉⠤⡠⠤⡍⣙⠢⢼⢠⣄⠙⠳⢜⣁⣀⣀⣀⣀⡼⠤⠖⠉⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠢⠤⣈⡱⠺⡭⣗⠚⠯⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠋⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⣶⣶⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣠⣴⣶⣶⣶⣶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣟⣛⣻⣿⣿⣶⣶⣿⣿⣤⣾⣷⣿⣿⣿⣿⣿⠋⠉⠛⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⠬⣿⣿⡍⠉⡉⠿⠛⠋⠉⢙⢣⡿⣿⣧⡀⠀⠈⠛⢿⣿⣿⣿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣾⣿⣿⣿⠃⢀⣿⡿⠀⠀⠀⠀⠀⠀⠀⢀⠀⠂⠉⢿⣷⣄⠀⠀⠀⠹⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⣿⣿⣿⣿⣿⣿⡿⠋⠀⣼⣿⠇⠀⠀⠀⠀⡐⠀⡀⠀⢐⡀⠀⠀⠙⢿⣷⣄⡀⠀⠙⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡧⠘⠻⠿⠿⠿⠛⠀⢄⣼⣿⠃⠀⠀⠀⠀⠠⠀⣿⣿⣄⣿⣿⣇⣄⠀⡀⠻⢿⣿⣧⣀⣸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣤⣀⣀⣀⣠⣤⣼⣿⠟⠁⠀⢀⠀⠀⣰⣶⣿⡿⠿⠛⠛⠛⠛⠛⠻⠿⢿⢾⣽⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⢋⠻⠿⠿⠟⠛⠉⠉⠀⠀⠀⢀⣠⣼⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣟⢻⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⢀⢃⠒⠄⡠⢀⠂⢁⠂⡀⣠⣶⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⠛⠴⠈⡌⠻⠜⡰⢀⢎⣴⣾⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⠟⣍⠂⡉⠄⠡⢂⠡⢘⣠⣽⣿⡟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡟⣣⠚⣤⠃⡔⢈⠐⣀⣦⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⣿⡿⠷⣆⠣⡄⢃⠄⠂⣴⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣀⠀⠀⠀⠀⠀⣸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣷⢟⡲⣴⡶⣶⣼⣿⡟⢡⠃⠌⡁⠀⠁⣘⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣷⣦⡀⣀⣴⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣧⣮⡗⢯⣱⣿⣿⣿⣧⣂⡝⠰⢠⣀⢰⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⡿⠋⠉⠀⠀⠀⢠⣿⣿⡿⣿⣿⣿⣿⣿⡿⢿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⢿⡙⣶⣿⣿⣿⣿⣿⣿⣷⣧⣧⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⢠⣤⣠⣿⡿⠃⠀⠈⢿⣿⣿⣿⣷⣼⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⢦⡹⣾⣿⣿⣿⡿⡰⣍⣻⢻⣿⣿⣧⣤⣀⠀⠀⠀⠀⠀⠀⣴⣾⡿⢛⡉⢉⠉⠻⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣶⣶⣾⣿⡟⣛⠻⣛⠻⢿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⣌⣦⡹⣿⣿⣿⡿⣓⠽⣬⢇⡳⢦⣏⣿⡿⠿⣿⣶⣶⣤⣤⣾⣿⣁⡔⣣⡐⡀⠂⢠⣹⣷⣆⣠⣤⣴⣿⡿⢿⡛⢯⡙⢭⢩⡑⢦⡘⢤⠓⡬⡑⢦⠙⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣽⣿⣿⣗⣣⢝⡺⣜⣫⢼⣿⡇⣿⡱⢓⠴⡨⢍⡛⡛⠿⣿⢿⣿⣷⣿⣷⣾⣷⣿⠿⠿⢟⡛⡙⢦⡘⠦⡙⠦⡜⢢⠣⡜⢢⠝⣢⠛⡴⣙⣶⣍⢲⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⣯⣿⢾⣿⣿⣞⣷⡮⣕⢎⠶⣹⣿⣷⣿⠧⣉⠖⡱⢊⠴⣉⠖⡩⣿⣿⣟⠻⣍⠏⡵⢊⠵⣉⠦⡱⣉⠦⣑⠣⡝⡸⣑⢣⠓⣌⢣⠞⣄⠫⡔⣱⣾⣿⣽⣿⣿⣹⣿⠀⠀⠀⠀⠀⠀ ⡽⣏⢾⣿⣿⡼⣿⢟⡾⣽⣎⢽⣿⣏⡱⢊⠴⡙⠶⣉⠖⡡⢾⡽⠿⡟⢤⡛⣤⢛⡼⣉⠖⡡⠞⡱⢌⠖⡩⢖⡡⢓⡌⢆⡛⢤⢃⡞⢤⢳⡽⣼⣿⠟⠉⠙⢿⣿⣿⠁⠀⠀⠀⠀⠀ ⢳⡝⣾⣿⣿⣿⣿⣮⢱⣯⡟⣿⣿⣷⡌⢣⡎⡍⢳⢡⡎⢱⢫⣧⢰⠙⣦⠓⣤⢣⡜⢢⡍⠒⢩⡔⢩⠊⣵⠈⡖⢡⠚⣤⠛⡜⣮⠘⣦⢻⣾⣿⠋⠀⠀⠀⠈⣿⣿⠀⠀⠀⠀⠀⠀ ⣏⢷⣿⣿⣿⣿⣿⣿⣷⣾⣷⣽⣿⠟⣿⣷⣬⣑⢎⠲⢌⠣⣾⣿⢊⡵⢊⡜⢢⠎⣔⢮⡰⣍⣦⣑⢣⠚⡤⢋⠴⣉⠖⣌⠳⡱⣌⠳⢬⣿⣿⡿⠀⠀⠀⠀⣼⣿⣿⠂⠀⠀⠀⠀⠀ ⣞⣿⣿⣿⡇⠈⢻⣿⣏⠉⠛⠿⣿⣿⣤⣛⡟⠻⢯⣾⣌⣇⣿⣿⠸⡜⢣⠞⣡⣾⠟⠀⠀⠀⠉⢻⣷⣍⠲⣉⢎⡱⢊⡔⢣⣱⢮⣿⣾⣿⣿⣿⣀⣀⣠⣶⡿⢿⣿⣧⠀⠀⠀⠀⠀ ⡝⣾⣿⣿⣇⠀⠀⣿⣿⡄⠀⠀⠀⠙⠛⠿⣿⣿⣶⣩⢛⣿⣿⣿⣣⣝⢣⣛⣿⡏⠀⠀⠀⠀⠀⠈⣿⣧⠓⣌⣦⣱⣧⣾⣷⣿⣿⠿⠿⠿⠿⠛⠛⠛⠋⠀⠀⢸⣿⣿⣄⠀⠀⠀⠀ ⠈⢌⢻⣿⣿⣷⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣾⣿⣿⣿⣾⣷⣮⣿⣇⠀⠀⠀⠀⠀⢀⣼⣷⣿⣿⠿⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡿⠀⠀⠀⠀ ⠀⠈⠘⢿⣿⣿⣿⠿⣿⣿⣿⣿⣶⣦⣀⡀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣷⣶⣶⣶⣶⡿⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣶⣦⣶⣾⣿⣿⣿⡿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⠛⢟⣜⣡⢻⡿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⠟⠛⠻⣿⣿⣿⡉⠀⠀⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⠟⠛⠀⠀⠀⠙⠛⠛⠋⠁⠀⠀⢀⠀⢀⡀ ⠀⠀⠀⠀⠀⠀⠈⠉⠂⠍⠡⠙⠻⠛⠿⠿⣿⣿⣿⣿⡃⠀⠀⠀⠈⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣤⣤⣴⠾⠟⠟⠉⠁⠀⠀⠀⠀⠀⣀⡀⣀⠤⣤⢲⡴⣎⠟⠣⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣄⢣⣦⣱⣬⣿⣿⣿⣿⣀⠀⣀⣼⣿⣿⣿⣶⣦⣴⣴⣶⣾⣶⣿⣿⣿⡿⠟⣯⠉⠉⠁⣠⣴⣦⣤⣴⣶⣤⣶⣶⣿⣽⣿⣉⠳⡌⠁⠈⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⢤⣀⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⣀⣀⠤⠶⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⣿⢿⣦⢀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠠⢰⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⢿⠁⢰⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡦⢸⡻⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⣿⣿⣷⣾⠀⠉⠑⠢⠤⢀⡀⠀⠀⠀⠀⣀⡤⠀⠀⠀⠀⠘⣾⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⡿⠿⢿⡿⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢿⣦⠞⠀⠀⠁⠀⠀⠀⠀⠄⠨⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢳⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠠⠀⠠⡀⠀⢸⠄⠄⠀⠀⠀⠀⠀⠀⠀⠀⢠⡘⠚⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣎⢂⠈⠀⠀⣀⠤⠠⠀⣤⡀⠈⢀⣀⠀⢀⠀⡀⠕⠢⣎⡁⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡧⠨⡖⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠚⠁⠈⠑⠤⣍⠑⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣷⡰⠓⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠷⡀⣔⣤⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⡿⣷⡤⣽⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⣧⣤⣹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⡿⣭⣿⣿⣿⣿⣿⣷⣦⡄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠁⣰⣿⣿⣾⣿⣿⣷⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡿⣽⣿⣿⣿⣿⣿⣿⡍⢃⠂⠉⠁⠀⠀⠀⠀⠀⠀⣸⣿⣿⣾⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⠁⣿⣿⣿⣿⣿⣿⣿⣿⣀⣳⣄⣰⡄⠀⠀⢀⣐⡻⠽⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠀⣠⠶⣖⡦⡀⠀⠀ ⠀⠀⠀⠀⠀⠘⣿⠛⠛⠛⠛⠻⡿⣿⣻⣿⣿⣿⠋⠉⢳⡀⠀⢘⢁⣇⣘⣼⣿⠛⠋⠋⠠⢀⠀⠀⢿⢃⣾⣿⡯⢉⣷⡇⠀⠀ ⢀⣴⢿⣷⣦⠀⠹⠀⠀⠀⠀⠀⠁⠀⢸⣿⣿⡟⠀⢄⡞⠀⡴⠿⡽⠋⣿⣿⣿⢀⠀⠀⠙⠀⠐⠀⠸⣿⡿⣼⣷⡤⠛⠁⠀⠀ ⢸⣟⡧⢻⣏⣧⡆⠀⠀⠀⠀⠀⠀⠀⢸⡹⢿⡇⣰⣿⣿⣿⠷⣴⣤⣤⣿⣿⣿⡆⠑⠀⠀⠀⠀⠀⠀⢷⣿⠗⠋⠀⠀⠀⠀⠀ ⠈⠻⣧⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣦⣬⠟⠉⣽⡿⠇⠀⠈⠻⢯⣿⡟⡁⡇⠀⠀⠀⠀⠈⠀⠀⢾⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⠛⠿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠳⡀⠠⠀⠀⠀⠀⠠⣈⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣨⠗⠒⠲⠤⣤⣀⣴⣾⠯⣄⣄⠀⠀⠀⠀⠀⣠⠴⠒⠒⡒⢒⣲⠛⠻⣳⠖⠒⠒⠋⠉⠉⠛⠤⣠⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⢎⡉⠀⢆⠀⠀⠐⣠⠏⠀⠈⠙⠢⢄⠟⣍⠑⠲⣿⣶⢤⠦⠁⠀⠀⠀⡀⢸⡧⣄⠀⠉⠓⠂⢦⡀⠨⠳⣄⠀⠀⠀ ⠀⢀⡾⠃⠀⢩⢲⣀⠀⠀⠢⠘⣶⠦⣠⠀⡀⠈⢛⣿⣶⣶⣤⣿⣿⣷⣶⣗⣾⣮⣶⣟⣀⠲⣁⢰⣶⣄⡄⢙⢦⠀⠈⢦⠀⠀ ⠀⢹⡡⠀⠀⢀⣾⣯⣤⡤⣠⣶⣼⣷⣦⣟⠽⣿⣿⣿⠿⠛⠿⠛⠂⠀⠀⠀⠀⠉⠉⠉⠋⠙⠛⠛⠻⣟⣫⣿⡾⠀⠀⠀⢳⡄ ⠀⠈⠛⠛⠛⠙⠉⡎⠻⠛⠛⠋⠛⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢿⣦⣶⠶⠟⠀ ⠀⠀⠀⠀⠀⠁⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡠⠤⢄⢀⣀⠀⠀⢰⡴⠇⣀⡀⠀⢀⡀⠀⠀ ⠀⢰⠛⣡⣤⡘⠁⠈⠈⠀⠀⠀⠀⠀⠈⢲⣭⡘⢗⣄ ⠀⠈⣦⠘⠿⠃⠀⡀⠀⣠⠾⣄⠀⠀⠀⠸⣿⠏⠀⡿ ⠀⠀⡫⡈⡅⡄⠀⠉⠉⠁⠀⠈⠓⠒⡕⡩⡰⡱⡞⠁ ⢀⠔⢇⠑⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠑⠃⠀⢀⡧⡀ ⢺⡀⠈⢦⡀⠀⠀⠀⠀⠀⢠⠀⣄⠀⠀⠀⣠⠞⢀⡟ ⠀⠉⠁⠲⠾⠷⠒⣆⢀⡤⢼⣀⣽⠴⠾⢚⡷⠊⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠉⠙⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣠⣄⣀⣀⣈⠆⠀⠀⠀⠀⡇⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣶⡄⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⣀⡴⠞⠋⠁⠀⠀⠀⠀⠀⠉⠙⠓⢦⣄⢀⠇⢀⡠⡀⢠⣿⠀⠀⠀⠠⣾⠀⠀⠀⠀ ⣀⠀⠀⠸⣷⠀⠀⠀⣿⢳⠀⠀⠀⠀⠀⣠⢞⠍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⣦⡸⡀⡸⣸⢹⠁⠀⠀⣾⡿⠀⣀⣤⡄ ⠛⢷⣷⠦⡟⣇⠀⠀⣿⡞⡇⠀⠀⣠⠞⢁⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⡶⣦⠀⠀⠀⠈⢳⡄⢨⡏⢾⠀⢀⣴⠇⡳⣻⠿⠋⠀ ⠀⢀⡼⣃⣠⣈⠛⠶⣿⠴⢻⡀⣴⠋⢠⣼⣤⠀⠀⠀⠀⠀⠀⠀⠀⡠⠛⣫⣀⣼⡇⠀⠀⠀⠘⣷⣼⣇⠸⢚⣉⣵⠿⠥⣝⣦⡀⠀ ⠴⠛⠋⠉⠀⠈⢉⡷⠃⠠⠊⣿⠃⡠⢿⠋⢸⡇⠀⠀⠀⠀⠀⠀⡤⠁⠻⣿⡾⠯⠇⠀⠀⠀⢰⡟⣃⡨⠋⠙⢧⣀⠀⠀⠀⠉⠙⠁ ⠀⠀⠀⢀⣠⢞⣋⡤⠴⠖⢻⠇⢘⢴⣾⣿⡿⢡⡀⠀⠀⢀⣠⠞⠁⠀⠀⠈⠉⠁⠀⠀⠀⠀⡸⢹⡉⠉⠛⠛⠦⢭⣷⣤⡀⠀⠀⠀ ⠀⠀⠰⠛⠋⠉⠀⠀⠀⠀⣿⠀⠀⠓⡏⠉⠀⠀⠉⠙⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⢀⣿⠁⠀⠀⠀⠀⠀⠀⠉⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡤⠒⢹⡄⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠋⠀⢠⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡁⠀⠀⢷⡀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠈⠳⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡿⠞⠛⠛⠶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠄⣀⣀⠌⢛⠶⣦⣀⡀⠀⠀⠀⠀⢀⣀⣠⡤⠖⠋⢱⠏⠀⠀⢀⡀⠀⠈⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠂⠈⠉⢉⣽⡋⢉⣩⡏⢳⡀⠀⢰⡿⡄⠀⠀⠀⠀⠀⠀⠀⢻⡂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⢄⠀⠀⠀⠀⣠⡿⢿⣿⡿⠟⠁⠙⠳⣄⠘⡇⠱⡀⠀⠀⠀⠀⠀⢀⢾⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡸⠀⠀⢀⣼⣟⣦⣀⣀⣠⣴⡇⠀⠀⠘⢧⡇⠀⠈⠢⠄⠀⠠⠔⠃⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⣴⡏⠘⠿⣿⣛⡽⠟⠁⠀⠀⠀⠀⢳⡄⠀⠀⠀⠀⠀⢀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢧⡀⠀⠀⠀⣠⣴⢿⠀⠀⠀⠀⠀⡗⢦⡀⠀⣀⡴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡙⣮⡍⠟⠛⠋⠃⣹⡟⠀⠀⠀⢀⢠⡧⠀⠹⣟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠘⢝⠒⠶⠖⠚⠉⠀⠀⢀⡄⣢⠞⢠⢰⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠑⠒⠤⠀⠀⠐⢊⣡⠞⢯⡀⢸⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠲⠦⠤⠴⠒⠛⣯⠀⠀⠈⠙⠶⣦⣄⣀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⡇⠀⠀⡏⠇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣥⠀⠀⠀⠀⡟⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠁⠹⣷⡄⠀⢸⠇⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠤⣀⠀⠙⠛⠋⠀⠤⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠞⠉⠀⠀⠻⣷⣄⠀⠀⠀⠀⠀⢀⡤⠖⠛⠛⠻⢶⢤⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠇⠀⢀⣠⣤⡀⠈⠟⠛⠛⠓⢒⡶⠋⠀⢀⡀⠀⠀⠀⠊⢷⠀⠀⠀⠀ ⠀⠀⠀⠀⡾⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣷⠀⠀⢰⢸⡇⠀⠀⠀ ⠀⠀⠀⢀⡏⠀⠀⠈⠻⠿⠟⠀⢠⠆⣀⡀⢰⠀⠀⠘⢿⣿⡿⠀⠀⢸⢸⡇⠀⠀⠀ ⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⢧⡀⠀⠀ ⠀⢠⠏⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⢏⢷⡀⠀ ⠀⡾⠀⠀⠀⠀⠘⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠀⠀⠀⡠⠀⠀⠘⡜⣇⠀ ⢀⡇⠀⠀⠻⣆⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡁⠀⢀⡞⠁⠀⠀⠀⢃⢿⠀ ⢸⡇⠀⠀⠀⠙⢷⡤⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠳⠶⠋⠀⠀⠀⠀⠀⢸⢸⡆ ⠐⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⡇ ⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢆⡿⠀ ⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣮⡞⠁⠀ ⠀⠀⠀⠈⠓⠶⠤⣤⣀⣀⣀⣀⣀⣀⡀⠀⠀⣀⣀⣀⣀⣀⣀⣠⣤⠼⠟⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠉⠉⠉⠉⠉⠉⠉⠁⠁⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⠁⠐⠢⠄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠐⠠⢀⡉⠒⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⠔⢋⡠⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠤⣈⠑⠄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⠊⣠⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⡈⠢⡀⠀⠀⠀ ⠀⠀⡠⠎⡠⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡈⠢⡀⠀ ⢀⠔⢁⠞⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠀⠀⠐⢤⡑⠃⠀⠀⠀⠀⠀⡠⢂⣂⣀⣐⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠈⢄ ⠀⡴⠁⠀⠀⠀⠀⠔⢣⠀⢀⢎⣵⠾⠛⠉⠘⢷⡌⠆⠀⠀⠀⠀⢂⡞⢋⠉⠈⠙⢷⣌⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠀ ⠈⠀⠀⠀⠀⠀⠀⠈⠉⠀⡆⣼⠇⠀⢀⠤⡀⠀⠓⠚⠛⠛⠛⠉⠉⠁⠀⢠⢤⠀⠈⢿⠸⡆⠀⠀⠀⠀⠀⢀⠠⣀⡠⢄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠃⢻⡆⠀⠸⣀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣸⠆⠀⣿⠺⡁⢄⡳⠀⠀⣀⢎⣱⡌⣴⢂⠇⢠⣦⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠤⠇⢠⢡⡾⠀⠀⠀⠀⠀⠀⣀⣠⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⢱⠀⠀⠀⠘⣴⡮⡯⠭⣷⡌⡄⠘⠞⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢼⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠘⡀⠀⠀⠰⣘⠻⡟⡾⢋⡴⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢸⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡰⢡⣤⣤⣤⣤⣴⣥⣵⠤⠤⣤⣤⣤⡌⠂ ⠀⠀⠀⠀⠀⠀⠀⢀⠀⠈⡌⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⣾⣷⣾⣿⣿⣿⣏⠀⠀⣨⠟⠒⠒⠒⢚⣡⠇ ⠀⠀⠀⠀⠀⠀⠐⠃⠃⠀⠘⢌⠿⣆⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠖⠋⢁⣴⣿⣿⣿⣿⣿⣿⣿⣧⡞⢣⠞⢁⠀⠀⠀⠀⠀ ⠀⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⢠⣾⣿⣮⣉⠙⠒⠒⠲⠤⠤⣤⣴⡚⠉⠀⠀⣠⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡜⡀⠀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⢸⢻⣿⣿⣦⣢⢾⡹⡽⣻⣿⣿⣿⣿⣿⣿⣿⠏⣜⠛⠀⢖⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠪⡼⠀⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⡞⣾⣿⡚⠈⠁⠈⣷⣻⣿⣿⢋⣨⣿⣿⣿⣿⣶⣶⣌⠢⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢌⠻⢿⣿⣿⣿⣿⣿⣿⣇⣧⢄⣈⡷⠴⠖⠚⢉⣡⣴⣾⣿⣿⣿⣿⣿⣿⣿⣽⣷⠃⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢔⣃⣙⣿⠟⠛⠉⠙⡟⠟⢉⣁⣠⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢆⡏⡜⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣞⣿⣿⣿⣿⣷⡘⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣻⣮⢰⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢿⣽⠿⣿⣿⣿⣦⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣾⣬⢿⢿⣫⣏⣻⡿⠿⠋⢹⢡⠎⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⣂⡬⢿⠷⠾⠻⠯⣹⡀⠀⠸⡿⣯⡽⢿⣟⣿⡟⠯⠼⣧⠬⢽⠭⠟⠉⢠⡀⣀⡾⣸⠄⠀⠀⠀⠀⠀⠀⠀ ⠐⡄⠀⠀⠀⠀⠀⠀⠀⢇⢧⡡⠈⠀⠀⠀⠀⠀⡇⠀⠀⡏⠉⠁⠀⠉⠉⠀⣀⣀⣇⡀⢈⣀⣨⣭⡿⠟⣋⠴⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⡈⢦⠀⠀⠀⠀⠀⠀⠈⠪⣙⠒⠒⠒⠒⠒⠙⠳⢤⠔⢛⣛⡋⠉⠉⠉⠉⠉⠁⠭⣉⣉⠩⠭⠄⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⠆⡰ ⠀⠐⢄⠙⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⢁⠔⠁ ⠀⠀⠀⠑⢄⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠐⢁⠴⠁⠀⠀ ⠀⠀⠀⠀⠀⠑⢄⡁⠲⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠂⣡⠔⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠗⠄⡉⠢⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠊⣁⠴⠊⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠀⠀⣉⠒⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠠⠒⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⡀⣤⢰⣶⢈⣉⠀⠀⠁⠋⠉⠴⠖⣠⠄⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⣲⣭⣦⣄⣌⣳⣠⣤⡤⠊⡕⣽⣼⢞⣷⣦⣤⣬⣭⣭⣥⣿⣿⣶⣦⣍⠐⢍⠶⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢤⣪⣷⣿⣿⣿⣿⡷⢋⣿⡙⡟⡻⣎⠀⣻⣿⣿⡿⠿⠟⠛⠻⠿⢿⣿⣿⣿⣿⣾⣷⠀⢱⡄⢙⠢⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⢔⣵⣿⣿⣿⣿⣿⡿⢋⣴⣿⣇⣀⣀⣥⣾⡦⣄⠙⠥⣒⠒⠒⠒⠒⠤⣀⠀⠙⠻⣿⣿⠟⣠⣴⣇⠀⠁⠈⢦⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⢗⣿⣿⣿⣿⠿⣓⣵⣶⣿⣿⣿⣿⣟⠿⢻⣿⣿⣮⣝⡶⠠⢬⠁⢀⣂⣀⣀⣛⣦⠭⣭⠖⢟⣡⣿⣿⢷⡄⠀⠀⠱ ⠀⠀⠀⠀⠀⠀⠀⣧⣨⣭⠵⣏⣡⣾⣿⣿⣿⣿⣿⣯⣿⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⣤⣶⣶⣶⣴⣷⣿⣿⣿⣿⣿⡜⣷⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠱⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣯⣽⣤⣤⣤⣤⣦⣶⣦⣬⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡿⢋⠅⠀⠀⠀⠬⣉⠉⠉⠉⢉⡩⠝⠛⠉⠁⠈⠉⠐⠒⠂⠤⠬⠽⠿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⡁⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠟⠈⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣦⠤⢿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⣢⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣤⣴⣿⡤⡀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣷⣌⢻⣿ ⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⠁⠀⠀⠀⠙⢿⢇⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠟⠉⢀⡠⣤⢤⡤⣈⠙⠻⣇⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣧⡻ ⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⣤⠒⠒⢯⡇⡀⠀⠀⠀⠀⢀⡾⠋⠀⢀⣼⠑⠁⣴⣮⢄⡁⠕⡄⠈⢷⡀⠀⠀⠀⠹⣿⣷⣿⣿⣿⣧ ⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⣼⠏⢰⣶⣆⣷⠃⠀⢄⣠⣿⡟⠁⠀⠀⣼⡷⠃⣾⣿⣿⣿⣤⠀⣼⠀⠈⢇⠀⠀⠀⠀⠘⣿⣯⠙⣿⣿ ⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⢻⣇⣘⠿⠓⠁⠀⠀⠀⠀⠉⠣⡀⠀⠀⢻⠗⠀⢿⣿⣿⡿⠃⠀⣸⠀⠀⢸⠀⠀⠀⠀⠀⢹⣿⡅⢹⣿ ⠀⠀⠀⠀⠀⢠⠿⠷⠦⠀⠒⠂⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠪⢕⣤⣈⢆⢀⢀⠟⢉⣕⣄⡨⢃⣀⡴⢎⡄⠀⠀⠀⠀⠀⣿⣇⠀⣿ ⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⢹⣿⡀⢾ ⠀⠀⠀⠀⠸⣄⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡇⢸ ⠀⠀⠀⠀⠀⢀⡇⠉⠒⢤⣴⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠐⠒⠒⠠⠤⠤⢤⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠈⣿⢸ ⠀⠀⠀⠀⣠⣾⠏⢰⣢⣴⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣤⣤⣤⣤⣤⣴⣶⡠⣀⠀⠀⠀⠀⠀⠀⡉⠉⢹⣿⣿⣷⣶⣶⣜⠀⠀⢹⣸ ⠀⣀⡴⠊⢀⣥⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣤⣬⣭⣖⣻⣷⣿⣿⣿⣿⣿⡿⠊⠀⠀⣾⣿ ⠉⠒⠒⠂⠈⠿⠟⠿⠿⢿⣿⣿⡿⢿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠛⠛⠋⠁⠀⠀⠀⣰⣿⡟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣼⣿⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣠⣤⣴⣾⣿⣿⣥⣄⡀
⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠞⣉⡭⣭⡙⢦⡀⢀⡴⢛⣩⢭⣍⠳⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⠇⣼⣿⣿⣶⠹⡆⠛⠚⢡⣿⣿⣿⡎⢳⠘⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣇⠻⣟⠟⢋⣼⠃⠀⠀⠈⢯⡛⠛⣁⡾⢠⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⠋⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠈⢧⠀⠀⠀⠀ ⠀⠀⠀⠀⣯⠀⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠀⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣆⠀⠈⠑⠲⠤⣄⣀⣀⣀⣠⠴⠚⠁⠀⣠⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⠃⠀⠉⠙⣲⠶⠶⠶⠶⣖⠋⠉⠀⠘⣦⠀⠀⠀⠀⠀ ⢀⣤⠖⠲⢤⡟⠀⠀⠀⡼⠁⠀⠀⠀⠀⠈⢳⡀⠀⠀⢹⣠⠶⠲⢤⡀ ⡾⠀⠀⠀⠈⡇⠀⠀⢸⡃⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⢸⠇⠀⠀⠀⢻ ⢳⡀⠀⠀⠀⢿⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⣼⠀⠀⠀⢀⡼ ⠀⠙⢦⣀⠀⢈⣧⠀⠀⠈⠳⣄⣀⣀⣠⠴⠃⠀⠀⣰⡃⠀⢀⡴⠛⠀ ⠀⠀⣴⣺⢗⣉⣁⣀⣀⣀⡶⠤⠤⠤⠤⠶⣆⢀⣀⣀⣉⡻⣟⣦⡀⠀ ⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡤⣤⡀⠀⢀⣀⣀⣀⣀⠀⠀⣠⡶⠶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠿⠶⣄⠹⠏⠉⠉⠉⠉⠉⠉⢿⢡⡶⠖⠛⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⣠⣤⣤⣘⣧⠀⠀⠀⠀⠀⠀⠀⠀⣿⣴⣶⣶⣤⣽⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣏⢛⠛⠛⣡⡟⠀⠀⠀⠀⠀⠀⠀⠀⢻⣌⠉⠉⢩⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣫⣿⡶⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣛⣚⣿⠿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣯⠈⠉⠛⠓⠒⠛⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⢸⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢿⡛⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠈⠳⣄⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠁⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⢹⡏⠉⠉⠛⢷⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠓⠀⠀⢸⡇⠀⠀⠀⢸⡇⠀⠀⢀⣀⠤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⠾⣇⠀⠀⠘⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠏⠀⠀⠀⣿⠀⠀⠀⣠⣟⣤⠶⠚⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡾⠃⠀⠀⢹⡄⠀⠀⠈⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠀⠀⠀⢸⠇⣀⣤⠾⠿⠷⠤⣤⣄⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣧⡀⠀⠀⠀⠻⣄⠀⠀⠀⠹⠦⣤⣀⡀⠀⠀⠀⠀⠀⠀⢀⡴⠛⠁⠀⠀⠀⣰⡟⠛⠉⠀⠘⠳⠶⣶⡒⠛⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠦⣤⣀⣀⣹⣦⡀⠀⠀⠀⠀⣉⠛⠶⣤⣤⣤⣴⣾⢋⣤⡶⢠⡆⢀⣼⠋⠙⠛⠛⠛⠛⠛⠛⠋⠁⠀⢀⣠⠴ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⠾⢋⡍⠉⠉⢙⣶⣄⠘⣧⡙⢿⣷⣬⣿⡄⢸⣧⢟⡟⢰⣿⢁⡾⠃⠀⠀⠀⠀⠀⠀⠀⢀⣀⡴⠞⠋⠁⠀ ⠤⠴⠶⠒⠛⠛⠛⢋⣽⣫⣵⣾⣋⣡⡴⠞⠋⠀⠙⢧⡙⣿⣦⡹⣎⠉⠀⠀⠁⢸⣷⠏⣯⡾⠁⠀⠀⠀⠀⢀⣀⡴⠶⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠘⠋⠉⠀⠀⠀⠀⠀⠀⠀⠙⠾⠇⠙⠋⠀⠀⠀⠀⠀⠁⠀⠈⠀⠀⣀⣠⠴⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡴⠞⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠴⠞⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡴⠶⠛⢉⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠶⠒⢚⣛⣉⣉⣙⣛⣓⠲⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣴⠞⢋⣥⣴⣶⣿⣿⠟⠛⠉⠉⢻⣿⣿⣶⣬⡙⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠉⠀⠀⣰⣿⣾⣿⣿⣿⣿⠏⠀⠀⠀⠀⢀⣼⣿⣿⢿⣿⣿⣾⠉⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣯⣀⣀⣴⣿⣿⣿⣿⡿⠿⣿⣿⣦⣀⣀⣤⣶⣿⣿⣿⠀⠀⠈⣿⣿⣧⡀⠈⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣤⢞⣡⣽⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣾⣿⣿⣿⣿⣶⣾⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⢻⡵⠋⢙⣿⣿⣿⠟⠛⠉⠉⠛⣿⣶⣿⣿⣿⣿⣿⣿⠛⠋⠙⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣮⣳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⢟⣷⣿⣷⣤⣾⣿⣿⡇⠀⠀⠀⠀⢀⣼⣿⡿⠟⠻⣿⣿⣿⡀⠀⠀⠀⠀⠀⠹⣿⣿⡟⠉⠻⣿⣿⠋⠉⠓⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡼⠷⣟⣛⣛⡻⠿⠿⣿⣿⣿⣶⣤⣴⣶⣿⣿⣿⣇⣀⣀⣿⣿⣿⣿⣶⣤⣀⣀⣠⣼⣿⣿⡆⠀⢀⣿⣿⡀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡾⢁⣾⠟⠧⣉⠉⠙⠓⠲⠦⠤⣤⣌⣉⣉⣭⣭⣭⣉⣩⣉⣉⣍⣩⣭⣭⣭⣍⣛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣦⡀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⢸⡃⠀⠀⠀⠙⠲⠤⣄⣀⠀⠀⠉⢻⣿⣿⣿⣏⠻⡍⠛⠛⠛⠋⣰⢟⣽⡿⣿⣯⡛⠒⠤⢤⣈⠙⠻⢿⣿⣿⣿⣿⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⢧⢸⡗⠦⣄⡀⠀⠀⠀⠀⠉⠙⠓⢲⣿⣿⣧⣨⣿⡇⠁⠀⠀⠀⠀⠁⢸⣿⣠⣿⣿⣿⡒⠒⠚⠛⠛⠲⣤⣝⠻⣿⣿⡇⢿⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢧⢿⡀⠀⠉⠓⠒⠦⢤⣤⣤⣴⣿⣿⣿⣟⣿⡿⠃⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣷⣤⣄⡀⠀⠀⣀⣹⣷⣮⡻⣷⢸⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢷⣷⣦⣄⣀⣀⣀⣀⣀⣴⠏⠈⢮⠛⠛⠋⠀⠀⠰⠄⠀⠀⠰⠆⠀⠈⠛⠛⠫⠞⠀⠻⣌⠉⠉⠉⠀⠀⠀⠈⣷⡘⢺⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⢿⣆⡀⠀⠉⠉⠉⣿⡀⠶⠲⠤⣄⣀⣀⡠⠤⠤⠤⠶⠤⠤⣄⣀⣀⣠⠤⠖⠂⢀⡟⠛⠶⠤⠤⠤⠤⢤⣾⢃⡾⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠻⢿⣛⠛⠛⣿⠿⢦⡀⠀⠀⠀⠤⣀⣀⡠⠤⠤⣀⣀⡠⠤⠀⠀⠀⢀⡴⢿⣟⠳⠦⣤⣤⣤⠾⢟⣥⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⠶⠶⢭⣷⠞⠛⢦⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋⢀⡾⠛⢷⣯⠽⠿⠶⣞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡿⠁⠀⢀⡾⠃⠀⠀⠈⠀⠀⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠾⠁⠀⠸⢀⠀⠀⠙⣷⡀⠀⠙⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣇⠀⢰⠟⠁⠀⠤⢤⡇⠀⠀⠀⠀⠀⠉⠑⠀⠀⠀⠀⠀⠀⠊⠉⠀⠀⠀⠀⠀⣼⡤⠤⠀⠈⢳⡄⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⡄⢸⠀⠀⠀⠀⠀⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠀⠀⢠⡇⣰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢳⡈⢧⡀⠀⠀⠀⠀⢿⡦⠤⠀⠀⣀⣀⣠⣤⣤⣤⣤⣀⣀⡀⠀⠀⠠⣾⡏⠀⠀⠀⠀⢠⡞⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠻⡄⠱⣤⡀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠈⠙⠋⠁⠀⠀⠀⠀⠀⢀⡿⠁⠀⠀⢀⡴⠋⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣶⢶⣾⢷⣤⣮⣿⣦⠀⠀⠈⠙⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⢀⣴⣯⡤⣤⣿⡶⠦⢶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⣿⣿⣻⠃⢹⡹⡞⠿⣷⡄⢀⣤⣶⣝⡻⠿⢷⡶⠦⠴⣶⡾⠽⣟⣫⣦⣄⠀⣠⣿⣾⣵⢳⡇⠹⡟⣿⡟⠀⠀⠀⠀⠀ ⠀⠀ ⠀⠀ ⠀ ⠀⠀⠀⠀⠈⠛⠁⠀⠘⠛⠁⠀⠈⠹⡸⣅⢹⡝⠿⣷⠾⠃⠀⠀⠘⠷⣾⠟⣱⠋⣸⢰⠋⠀⠀⠙⠛⠁⠀⠙⠛⠁⠀⠀⠀⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣘⡆⠙⠶⠛⠀⠀⠀⠀⠀⠀⠛⠒⠋⣾⣁⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⣿⡿⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣤⣶⣾⡿⠟⠀⠀⠙⢷⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⡿⠛⣿⣿⡀⠀⣤⣶⣦⣤⡈⠉⠙⠛⠳⠶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⣧⠀⠙⠉⠁⣼⣿⣷⣿⣿⣿⡀⠀⠀⠀⠀⠈⠉⠻⢷⣦⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⢿⣦⣀⠀⢹⣯⣿⣻⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠛⠻⠷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⣿⣷⣤⣉⠙⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⢿⣬⡙⠻⢶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣟⠻⢶⣤⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠻⣧⡄⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣦⠀⠉⠻⢷⣄⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⢿⣦⡀⠀⠀⠀⠀⠀⠀⣾⠆⠀⠀⠀⠀⠹⣧⡀⠀⠀⠙⢿⣆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣦⡀⢰⡄⠀⠀⠀⠀⠈⠛⢷⣄⡀⠀⠀⣸⡟⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⢈⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣾⣿⣄⠀⠀⠀⠀⠀⠀⠙⢿⣄⣴⣿⡶⠾⠛⠀⠀⠀⢀⣀⣸⣧⣤⣤⡾⠟ ⠀⠀⠀⠀⠀⣴⣷⣤⣄⡀⠀⠀⠀⠀⣨⣿⠃⠀⠀⠀⠀⠀⠀⣼⣿⡟⠁⠀⠀⣠⣤⡾⠟⠛⠛⠛⠛⠛⢿⣦⡀ ⠀⠀⠀⠀⠀⠘⠛⢿⣿⣿⣶⣶⣶⣾⠟⠁⠀⠀⠀⠀⠀⠀⣴⡟⠁⠀⠀⠰⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇ ⠀⠀⠀⠀⠀⠀⢠⣴⣾⣿⣿⣿⣥⡀⠀⠀⠀⠀⠀⢀⣠⣾⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣠⣿⠃ ⠀⠀⠀⠀⠀⠀⠈⠋⠉⠁⠉⠉⠙⠛⠿⢾⣿⣾⣿⣿⣿⣽⣷⡀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⡾⢟⣵⡿⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣉⣙⣻⣂⣀⣙⣻⠿⠶⠶⠿⠟⠛⠛⠛⠋⢉⣤⣴⠟⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⣤⣤⣄⣿⣿⣯⣿⣿⣿⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⢀⣠⣤⡶⠟⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣭⣭⣭⣭⣿⣿⣿⣾⣧⣤⡶⠟⢀⣀⣤⣤⣴⡶⠟⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⡾⠟⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢞⣏⣙⠳⢄⣀⣤⡤⠤⢤⣤⣀⡴⢾⣏⡙⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⢰⢟⣡⣌⣹⣆⠀⠀⠀⠀⠀⠀⠀⣾⣫⣅⣉⣳⡸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠸⣎⡉⠋⣡⠟⠀⠀⠷⠒⣷⠀⠀⢷⣈⠉⢋⣼⢹⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠈⠉⠉⢁⣠⠴⠖⠲⠤⠞⠲⢤⣄⠉⠉⠉⡀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⡏⠀⠀⠓⠒⠚⠋⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠒⠛⠀⠘⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠟⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡈⢷⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⠋⠈⠁⠀⠀⠀⠀⠀⠀⠀⠲⣄⣀⠀⠀⢀⣀⡴⠆⠀⠀⠀⠀⠀⠀⠈⠀⠀⢳⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⣀⠀⠀⠀⠀ ⠀⠀⢠⡞⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠈⢳⡀⠀⠀ ⠀⠀⣾⠀⢸⠀⠀⠀⢤⡀⡞⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡶⠀⠀⠀⠀⣇⣠⠀⠀⠀⢸⡄⠘⡇⠀⠀ ⠀⠀⢻⡀⠸⣆⠀⠀⠀⢳⡇⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⣿⠏⠀⠀⠀⡸⠀⢸⠇⠀⠀ ⠀⠀⠈⢻⣄⠘⢦⡀⠀⠀⢱⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⢠⡏⠀⠀⠀⡴⠃⣠⠏⠀⠀⠀ ⣤⠴⠒⠚⠛⠳⣄⣙⠲⠀⠈⣧⡀⠀⠀⠀⠹⣄⡀⠀⠀⠀⠀⣠⡟⠀⠀⠀⢀⡞⠀⠀⠐⣋⣤⠞⠛⠓⠲⢦⡀ ⠛⠓⢶⡖⠛⠁⠀⠉⠉⣛⣠⠌⡿⠂⣀⠀⠀⢮⣉⣳⣤⣶⣋⣩⠄⠀⡀⠐⢿⠤⣜⣋⠉⠉⠀⠘⠓⣺⣷⠛⠁ ⠀⠀⠈⠉⠙⠛⠋⠉⠉⠁⠀⢸⣇⡠⠟⠷⣄⣈⣿⠁⠀⠀⣟⣁⡤⠞⠛⠦⣬⠇⠀⠈⠉⠉⠙⠛⠉⠉⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⠤⠶⠶⠶⠶⠶⠦⣤⣄⣀⠀⠀⠀⣀⣠⣤⢤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⠶⠶⢦⣤⣠⡴⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠚⠉⣠⡶⣤⡀⠉⠳⣦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡟⠉⣠⣶⠖⣦⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣀⣨⣿⡄⠀⠘⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠁⠰⣿⣿⣶⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⡿⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢸⡇⠀⠻⢿⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⠀⠀⣷⠀⢀⣀⠀⠀⠀⠀⠀⠀⣀⡤⣶⠛⠉⢡⡏⠀⠉⠉⠙⣳⣦⣀⣀⠀⠀⣠⡤⠀⠀⠀⢾⡥⣆⣠⡶⣷⠀⠀⠀ ⠀⣴⢦⣸⡏⡇⡼⠁⠀⠀⠉⠛⠷⣖⣒⣚⡋⠁⢸⠇⠀⠀⢸⡇⠀⠀⠀⠀⣯⠀⠈⣉⣩⡽⠋⠀⠀⠀⠀⣸⠃⠛⠋⣴⠧⢶⡆⠀ ⣠⣿⡄⠙⠁⢿⡇⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⢹⡄⠀⠀⠀⢷⡀⠀⠀⠀⠹⣍⠉⠉⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⣠⠶⠛⠁⠀ ⣿⣀⠀⠀⠀⠘⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣄⠀⠀⠈⠳⣄⠀⠀⠀⠙⠳⢤⣄⣀⠀⠀⠀⣠⠞⠀⠀⢐⣾⠁⠀⠀⠀⠀ ⠀⠙⠛⠶⣄⠀⠈⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠉⠛⠲⣄⠉⠀⠀⢀⡾⠹⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⠀⠀⠀⠚⠀⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠒⠦⠤⠤⠤⠤⠤⠤⠴⠞⠁⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠁⠀⠈⢷⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣏⠙⠳⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⠟⠁⠀⠀⣀⡀⠀⠹⣦⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⢠⣬⡉⠛⣛⠲⣶⠶⠶⠶⠶⠶⠶⠒⠚⠛⠋⠁⠸⣆⠀⣤⣤⠀⡏⠻⣄⣀⣨⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⣸⠀⠹⣶⡏⠙⡛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠁⠉⠉⠁⠀⠀⣀⡀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣀⣤⠤⠶⠶⠶⠶⣠⢖⣳⡤⠶⠺⠯⣍⡉⠛⠶⣄⣠⣤⣶⣿⣷⣿⢫⣿⣷⡀⠀⠀⠀⠀⠀ ⠀⠀⣠⡶⠛⠉⠁⠀⠀⠀⠀⣠⡼⠿⠋⠉⣠⡴⠶⠶⠾⠽⠶⢛⡉⠀⠀⣿⣿⣿⡟⠀⠈⠋⠙⣶⡄⠀⠀⠀ ⠀⣼⠋⠀⠀⢀⣴⢟⠛⠛⠲⣯⣀⠀⢠⣄⠀⠀⠀⠀⠀⠀⣠⡟⠁⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣼⡟⠀⠀⠀ ⢸⡏⡄⠀⠀⣿⡇⢸⡆⠀⠀⠀⠙⢧⡀⠙⣦⠀⠀⠀⠀⢠⡏⠀⠘⠛⠒⠒⢛⣿⡭⠭⢤⡴⠟⢧⣄⠀⠀⠀ ⠸⣷⠀⠀⠀⠿⣇⠐⢻⡄⠀⠀⠀⠈⠇⠀⠘⡇⠀⠀⢀⣠⡟⠛⠲⣄⠀⠀⠀⠀⠀⣰⣯⠀⠀⠀⠈⢳⣄⠀ ⠀⠹⣇⠀⠀⠀⠙⢧⣄⠙⠷⣤⣄⣀⣀⣀⣴⣷⣴⠞⠻⣦⡀⠀⠀⠉⠀⠀⣀⣠⣾⣯⣼⣶⣖⡀⠀⠀⢹⡄ ⠀⠀⠙⢷⣀⠀⠀⠀⠈⠙⠛⠶⢦⣭⣭⡍⣿⣿⣧⣀⡀⠈⢳⣿⣿⣿⠉⠉⠉⠈⠛⠙⠻⣿⣭⣁⠀⠀⣸⡇ ⠀⠀⠀⠀⠙⠷⣄⡀⠀⠀⠀⠀⠀⣿⡏⠙⢿⣯⠉⠉⠉⠉⠻⣿⠛⠿⠿⠀⠀⠀⠀⠀⠀⠈⠙⢯⡛⠲⠛⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠳⢦⣀⡀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠶⢦⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡤⠶⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠛⠛⠚⠛⠛⠛⠛⠛⠋⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀
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