Buff Shreck Emojis & Text

Copy & Paste Buff Shreck Emojis & Symbols ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠐⠀⠈⠉⠁⠉⠉⠉⠀⠂⠠⢀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣀⢀⣾⠿⠻⢶⣄⠀⠀⣠⣶⡿⠶⣄⣠⣾⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢻⣿⣿⡿⣿⠿⣿⡿⢼⣿⣿⡿⣿⣎⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠉⠛⢛⣛⡉⠀⠀⠙⠛⠻⠛⠑⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣧⣤⣴⠿⠿⣷⣤⡤⠴⠖⠳⣄⣀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣀⣟⠻⢦⣀⡀⠀⠀⠀⠀⣀⡈⠻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠉⡇⠀⠀⠛⠛⠛⠋⠉⠉⠀⠀⠀⠹⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠀⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠈⠑⠪⠷⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣦⣼⠛⢦⣤⣄⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠢⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠲⠖⠛⠻⣿⡿⠛⠉⠉⠻⠷⣦⣽⠿⠿⠒⠚⠋⠉⠁⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⠛⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀ ⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀ ⠀⠀⠀⣰⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣧⣄⠀⠀⠀⠀⠀⠀⢳⡀⠀ ⠀⠀⠀⣿⡾⢿⣀⢀⣀⣦⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣫⣿⡿⠟⠻⠶⠀⠀⠀⠀⠀⢳⠀ ⠀⠀⢀⣿⣧⡾⣿⣿⣿⣿⣿⡷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢿⣿⣧⠀⡀⠀⢀⣀⣀⢒⣤⣶⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⡾⠁⠙⣿⡈⠉⠙⣿⣿⣷⣬⡛⢿⣶⣶⣴⣶⣶⣶⣤⣤⠤⠾⣿⣿⣿⡿⠿⣿⠿⢿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣸⠃⠀⠀⢸⠃⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⠟⡉⠀⠀⠀⠈⠙⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣿⠀⠀⢀⡏⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠉⠠⠿⠟⠻⠟⠋⠉⢿⣿⣦⡀⢰⡀⠀⠀⠀⠀⠀⠀⠁ ⢀⣿⡆⢀⡾⠀⠀⠀⠀⣾⠏⢿⣿⣿⣿⣯⣙⢷⡄⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣻⢿⣷⣀⣷⣄⠀⠀⠀⠀⢸⠀ ⢸⠃⠠⣼⠃⠀⠀⣠⣾⡟⠀⠈⢿⣿⡿⠿⣿⣿⡿⠿⠿⠿⠷⣄⠈⠿⠛⠻⠶⢶⣄⣀⣀⡠⠈⢛⡿⠃⠈⢿⣿⣿⡿⠀⠀⠀⠀⠀⡀ ⠟⠀⠀⢻⣶⣶⣾⣿⡟⠁⠀⠀⢸⣿⢅⠀⠈⣿⡇⠀⠀⠀⠀⠀⣷⠂⠀⠀⠀⠀⠐⠋⠉⠉⠀⢸⠁⠀⠀⠀⢻⣿⠛⠀⠀⠀⠀⢀⠇ ⠀⠀⠀⠀⠹⣿⣿⠋⠀⠀⠀⠀⢸⣧⠀⠰⡀⢸⣷⣤⣤⡄⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⢼⡇ ⠀⠀⠀⠀⠀⠙⢻⠄⠀⠀⠀⠀⣿⠉⠀⠀⠈⠓⢯⡉⠉⠉⢱⣶⠏⠙⠛⠚⠁⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠻⠄⠀⠀⠀⢀⣿⠀⢠⡄⠀⠀⠀⣁⠁⡀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⡟⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢠⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⣤⣴⣶⣶⣶⣶⣶⣤⣤⣄⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣀⣀⣀⣤⣤⣤⣶⣶⣶⣶⣶⣶⣤⣄⡙⠢⣄⡀⠀⠀ ⢀⣤⡠⠖⣡⣾⣿⠿⠿⠛⠛⠛⠛⠛⠛⠛⠿⠿⠿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠛⠛⠛⠛⠛⠛⠻⢿⣷⣦⡙⢾⣷ ⠸⠿⠃⡾⠟⠉⠀⠀⠀⠀⠀⠀⣀⢀⡀⣀⢀⣀⣀⢀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⠀⡀⢀⠀⡀⢀⡀⢀⡀⠀⠀⠀⠀⠀⠀⠙⠻⣾⢹ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⢠⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠀⠀⣀⣀⣀⣀⣀⣄⣠⣄⣤⣤⣀⣀⠀⠀⠀⠀⠀⠈⠈ ⠀⠀⠀⠀⠀⠀⢀⣤⠞⠋⠁⢹⣿⣿⣿⣿⣿⣏⠹⣿⡉⠀⠀⢻⠄⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⢩⡿⠋⢹⣿⣿⣿⣟⣻⡇⠈⠙⠳⢦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠿⣳⢦⣤⣤⣼⣿⣿⣿⣿⣿⣋⣄⣈⣻⣆⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣔⣏⣄⣤⣼⣿⣿⣿⣿⣿⣥⣶⣶⡾⠟⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠛⠁⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠋⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⡟⠉⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⡶⠶⠶⠶⠿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⡴⠑⡄⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⡇⠀⠿⡀⠀⠀⠀⣀⡴⢿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠑⢄⣠⠾⠁⣀⣄⡈⠙⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡀⠁⠀⠀⠈⠙⠛⠂⠈⣿⣿⣿⣿⣿⠿⡿⢿⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡾⣁⣀⠀⠴⠂⠙⣗⡀⠀⢻⣿⣿⠭⢤⣴⣦⣤⣹⠀⠀⠀⢀⢴⣶⣆ ⠀⠀⢀⣾⣿⣿⣿⣷⣮⣽⣾⣿⣥⣴⣿⣿⡿⢂⠔⢚⡿⢿⣿⣦⣴⣾⠁⠸⣼⡿ ⠀⢀⡞⠁⠙⠻⠿⠟⠉⠀⠛⢹⣿⣿⣿⣿⣿⣌⢤⣼⣿⣾⣿⡟⠉⠀⠀⠀⠀⠀ ⠀⣾⣷⣶⠇⠀⠀⣤⣄⣀⡀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠉⠈⠉⠀⠀⢦⡈⢻⣿⣿⣿⣶⣶⣶⣶⣤⣽⡹⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠲⣽⡻⢿⣿⣿⣿⣿⣿⣿⣷⣜⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣶⣮⣭⣽⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣀⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⠿⠿⠿⠛⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠶⠦⢤⣀⠀⠀⠀⣼⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠁⠀⠀⢀⡴⠾⢷⡤⣾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣃⣀⣀⣀⣴⣿⡿⣷⣿⣧⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣤⣦⣀⠀⠀⣿⣿⣿⣿⣿⠋⠉⠓⠛⡋⠁⠀⠈⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠻⠿⠛⠛⢿⣿⠿⠾⢝⣧⣀⣀⣠⠶⠛⠓⢒⠶⡎⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣀⣴⡿⡿⠛⠋⠙⠀⣀⢴⡟⠀⠀⠘⠦⢄⣀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡉⣿⣧⣠⣤⡴⢶⣫⣷⡟⠀⠀⠀⠀⠀⠀⠙⣿⣷⣶⣿⣧⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣄⣼⣟⠙⢻⣟⣛⠿⠛⣛⡩⠔⠁⠀⠀⢀⡖⠀⢀⣾⣿⣿⣿⣿⠀⠈⠑⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣰⣿⣿⣿⡿⢻⣦⡀⠉⣉⠉⠉⠉⠀⠀⠀⠀⢀⠞⠁⣠⣾⣿⣿⣿⣿⣿⡄⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠋⣿⣿⣿⣿⣿⣤⡙⠻⣦⣄⡀⠠⣤⡀⠀⣠⡴⣯⡴⣻⣿⣿⣿⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⠃⣰⣿⣿⣿⣿⣿⣿⣟⣷⣤⣍⣿⣷⣾⡿⠟⠹⣚⣩⣾⣿⣿⣿⣿⣿⣿⣿⣿⢳⡄⠈⢲⡀⠀⠀⠀⠈⢦⠀⠀⠀ ⠀⠀⠀⣼⡧⣴⡟⢿⣿⣿⣿⣿⣿⣿⣿⣥⣀⠀⠀⣀⣠⣴⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠻⣆⠈⢿⡄⠀⠀⠀⠀⠣⡀⠀ ⠀⠀⣾⢟⢘⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡏⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣿⣦⣿⣿⣴⡦⠂⠀⠀⢱⠀ ⠀⣼⡟⠈⠸⡿⢠⣾⣿⣿⣿⣿⣿⣿⣿⡿⠉⠀⠗⠉⠀⠘⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡈⢻⣿⡿⠋⠀⠀⠀⠀⠘⡆ ⢸⡏⣠⠠⠶⠇⣾⣿⣿⣿⣿⣿⣿⣿⠟⠃⠀⠀⠀⠀⠀⠀⠉⠉⠁⠈⠉⠀⠀⠈⠉⠉⠉⠛⠻⠿⠃⣿⣿⡅⠀⠀⠀⠀⠀⢰⠇ ⣿⡿⠡⠀⠀⠀⠙⣿⠉⣏⠉⠬⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⣿⠇⠀⠀⠀⠀⠀⠀⡸⠀ ⢹⣷⢐⠀⠀⠀⠀⠹⣇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⡀⠀⠀⠀⠀⠀⡸⠁⠀ ⠀⢹⣿⣰⡀⠀⠀⠀⣿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣄⣈⡀⠀⠀⠀⢰⠃⠀⠀ ⠀⠀⠹⣿⣷⢠⡄⠠⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣟⠉⠙⠻⠷⢶⡦⡞⠀⠀⠀ ⠀⠀⠀⠘⢿⣾⣧⣳⡿⣧⠀⠀⠘⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⢿⡟⠀⠀⠀⠀⠀⠁⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⢿⣦⡀⠀⠙⠻⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣀⣤⣶⣿⠿⠋⠁⢀⣯⣤⣄⣀⣀⣀⣴⡿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⡇⠹⢿⣿⣶⣤⣤⣿⣿⣶⣶⣶⣶⣤⣶⣶⣿⣿⠿⠟⠋⠀⠀⠀⠀⢸⠀⠉⠉⠀⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡤⠀⠀⠈⠙⠛⢻⣿⣿⠿⠿⠿⠿⠟⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⣸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡀⣌⣷⣀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⣤⣀⠙⠂⢦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⡤⢶⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⠙⢻⣿⣶⣤⠤⠭⣇⣀⣠⣀⣀⣀⣤⢤⣶⣶⣿⢋⠁⠀⢰⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣠⡟⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⢿⣿⣿⣇⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣎⠹⣟⠺⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⢰⠉⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⢹⠃⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣇⣼⣧⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡆⣉⣴⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⡿⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⣠⣿⡧⠻⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣷⣖⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣩⣿⣿⣦⣶⣤⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣿⣿⣿⣯⣿⣿⠟⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⡾⡿⠟⠿⢻⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠛⠓⠒⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣄⣉⣙⣛⣻⣛⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
(\ __ /) (˶ᵔ ᵕ ᵔ˶) _ノ ヽ ノ\_ / `/ ⌒Y⌒ Y  \ (  (三ヽ人  /   | | ノ⌒\  ̄ ̄ヽ  ノ ヽ___>、__/ |( 王 ノ〈 /ミ`ー―彡\ |╰ ╯ | /\ | | / \ | | / \ |
/| _ ╱|、 ( •̀ㅅ •́ ) _ノ ヽ ノ\_ / `/ ⌒Y⌒ Y  \ (  (三ヽ人  /   | | ノ⌒\  ̄ ̄ヽ  ノ ヽ___>、__/ |( 王 ノ〈 /ミ`ー―彡\ |╰ ╯| | /\ | | / \ | | / \ |
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⠀⠀⠀⠀⢐⡇⣿⠀⢍⡺⢭⡞⣝⢮⣛⡾⣽⣹⢞⣭⢷⣫⢗⢯⢾⡽⢯⡿⣽⣿⣿⣿⣿⣿⠏⣿⡔⠩⠒⡍⠚⢮⡙⢣⠎⢓⠾⣱⢏⣾⣙⣮⣝⣾⣽⣳⣽⣾⣧⢻⡵⢫⢎⡳⢫⣽⣿⣿⣿⣿⣿⣿⣽⣾⣟⣷⣟⣿⣿⣿⣿⣽⣿⡿⣏⣾⣟⣿⢯⣝⣾⣟⣼⣿⣿⣿⠀⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⣿⡆⢎⣝⣣⢟⣼⣳⣏⢾⡵⣫⢿⣜⣧⣛⢾⡹⢾⣹⢯⣿⣿⣿⣿⣿⣿⢇⡂⢼⣷⠀⢣⡐⣉⠒⡌⠃⠞⡩⠚⡍⢯⡙⢯⡹⢫⠯⡝⣯⢳⠿⣜⢧⣛⡟⣬⢓⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣯⣿⣿⣿⣿⢿⣷⣻⣽⢿⣽⡿⣛⣮⣿⣳⣾⣿⣿⣿⠇⣸⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⡆⣿⣿⣾⡲⢭⢾⡱⣏⣾⡻⣼⢯⡟⣼⢲⡝⡮⣝⡻⣜⣯⣿⣿⣿⣿⣿⣿⢘⣾⠟⠁⠈⡀⠰⠖⠛⠛⠛⠷⣶⢷⣼⢆⡟⢢⣍⣣⣯⣱⣎⣯⣽⡾⠿⡞⢾⡰⢫⡜⣻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡷⣯⣟⣾⣵⣻⣿⣾⣿⣿⣿⣿⡟⢠⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣇⢻⣿⣧⣿⢏⣾⡱⣟⢮⢷⣹⢮⡝⣬⠳⣎⡵⣫⢗⡿⣾⣿⣿⣿⣿⣿⣏⣾⠏⠀⠀⢀⣀⣄⣦⣌⡽⣙⢣⢓⡎⠦⢓⣌⠣⠞⠫⢅⠫⡜⣱⣦⣿⣷⣿⣶⣭⣧⡜⡰⢣⢽⣿⣿⣿⣿⣿⣿⣿⣽⢾⣽⣾⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⡟⢡⠎⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⡮⢿⣿⣿⣻⣶⡽⢞⣯⡗⣯⢾⣍⣳⢟⣬⡳⣭⣻⣽⣻⣿⣿⣿⣿⣿⡧⣿⡀⠰⠾⢟⡛⣛⠛⡿⠿⣿⣷⣾⣼⣶⣧⢸⣎⣱⢉⣾⣷⣿⣿⠟⣫⣭⣙⣻⣛⣿⢿⡿⣳⣾⣿⣿⣿⣿⣿⣿⣿⡾⣿⢿⣯⣿⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⣠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢎⠻⣿⣿⣿⣿⣟⣶⣻⣽⣿⣾⣯⣿⣾⣿⣷⣿⣷⣿⣿⣿⣿⣿⣿⣷⠘⣿⡧⣽⠶⠶⢇⠩⣴⣧⣶⡌⣹⠛⡟⢟⣾⠇⣿⣿⡿⢟⣫⣵⣾⣟⣟⣻⣛⡝⣫⢇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢋⡤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠣⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠛⢡⣴⣿⡿⠿⣿⡿⣿⣶⡿⢽⣿⡞⠶⠟⢨⣿⣷⣾⣿⡿⢿⣿⢿⣿⣿⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠻⠿⠿⣿⣿⣿⠿⠿⠛⣛⣭⠦⠒⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠬⣉⡙⠻⠿⢿⣿⣿⣿⣿⣿⡿⠿⠟⠋⡉⣿⣿⣿⣿⣿⣿⣿⡆⠂⠼⠿⣷⣤⣙⣿⣿⣿⠷⠟⡛⡐⣿⡇⠀⣿⣿⣿⡻⢶⣤⣟⣿⣛⣯⣴⠿⣿⡿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣼⠗⠚⠓⠒⠒⠒⠶⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠒⠢⠤⠄⠓⠤⠔⠓⠚⠛⣽⠃⣿⣿⣿⣿⣿⣿⣿⣿⣦⡁⠂⠄⡈⠁⠄⠂⠄⡈⠰⢠⠑⡸⣧⠈⣽⣿⣿⣿⣬⢻⠼⣭⡙⠲⣌⡳⣇⢿⣱⣾⣿⣿⣿⣿⣿⣿⣿⣿⡀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⣰⠏⢀⠀⢂⠡⣈⠑⣎⠹⣖⢮⡐⠁⠂⣰⡏⢀⣾⠋⠄⠡⠈⠔⠂⠤⡉⡙⠛⢛⠻⢿⢛⠛⡉⢍⡩⢐⠢⡉⢆⠨⡓⣌⡞⢿⣧⣻⣿⣯⢿⣿⢼⡻⣜⡟⣶⢳⢯⢻⣽⣿⣿⣯⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⢉⣾⠃⠀⢢⡘⢄⠒⠤⡉⠤⡉⠼⠈⢿⣄⢠⡿⠁⠠⢀⠒⡈⠄⡉⢢⢉⡐⢡⢀⣁⣂⡑⢎⣆⣶⣶⣤⣥⣃⢂⠱⠈⢆⠱⢢⡙⣮⢳⣹⣿⣿⣿⣛⢮⡳⢯⡝⣮⢟⣮⢳⡽⢿⣿⣿⣧⡹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⣡⡿⠁⠀⡸⢠⠓⡌⣘⠢⡑⢠⢁⠊⠁⠀⢹⣾⠃⠠⠁⢌⠒⢠⡑⣘⣴⣦⡿⢟⡛⢭⠻⣿⢿⡟⢫⠜⣛⡛⣛⢛⣷⣷⣬⣡⢣⡝⢦⣋⢾⣿⣿⢧⣟⢮⡝⣧⢻⡜⣯⢞⡧⣏⢻⣿⣿⣿⣷⡸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢰⣿⠁⠀⠠⠑⡀⢣⠜⠤⠓⣌⠂⢆⢂⠀⠀⠀⢻⡇⠈⢌⠠⣌⣦⣷⡟⢯⣖⣿⣺⣝⣫⢳⡜⡲⣍⣷⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣾⣦⡝⣾⣿⣿⣿⣭⣳⢻⣜⢧⠿⣜⡯⢶⣩⢷⣟⣿⣯⣿⣷⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡌⢿⡀⠀⠀⠀⠀⠢⢌⢣⠙⡤⡙⢤⠊⡄⠀⠀⢸⡇⠈⠄⡚⠿⣿⡛⠛⠋⠉⠉⡉⠭⣙⡙⠿⣿⣾⢿⢟⡟⣫⠽⡹⠎⡱⢊⣭⣿⣟⡳⣼⣿⣿⣿⣿⣯⡗⣯⢞⣭⣛⡾⣽⣷⣻⣟⣿⣿⣿⣿⣿⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢆⡙⢷⣤⡀⠀⠀⠀⠢⠙⢤⠙⣢⠱⡈⠄⠀⠈⣷⠀⢈⠐⠤⠉⠻⢷⣤⡁⠆⠱⢁⠒⢨⠙⣌⠣⢍⡚⡜⢡⠂⠐⣠⣴⡿⣻⠱⣎⠵⣿⣿⣿⣿⣿⣿⣛⣼⡳⣾⣽⣽⣿⣿⣟⣿⣿⣿⣿⠟⣁⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠢⣬⠙⢶⣄⡀⠀⠈⠠⠙⣄⠣⡑⢂⠀⠀⣿⡄⠠⢈⠀⠂⠁⢀⠉⠻⠶⡁⠆⣉⠤⡑⢌⠚⢤⣑⣌⣦⣾⠾⣟⡽⣶⡷⡹⢼⣹⣿⣿⣿⣿⢿⣷⢿⣞⣿⣿⣿⣿⣿⣿⣿⡿⠟⢋⡴⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠲⣈⠛⢶⣄⡀⠁⠄⡓⢌⠢⠄⠀⢸⣧⠀⠄⠂⠀⠄⢀⡀⠂⠐⢈⠰⠙⣿⢿⣿⣿⣿⣿⣿⣹⣋⣵⣯⣾⠟⣡⢛⣼⣿⣿⣿⣿⣿⣿⣿⣻⣾⣿⣿⣿⡿⠟⢋⣡⡖⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢤⣈⠻⢦⣄⡀⢋⠄⡐⠀⣿⡿⠆⠐⡈⠠⠀⠈⠻⠖⠀⣀⣠⣰⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢁⠲⡥⣟⣾⣿⣿⣿⣿⣿⣿⣳⣿⣿⣿⣟⣡⣠⣠⣀⣉⣉⣐⣒⡒⣒⠢⠤⠤⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣴⠿⢇⣀⣩⣿⣦⣥⡐⢸⡿⠁⢀⠂⡔⠁⠌⡀⠀⠀⠂⠘⠋⠉⢉⠉⠩⠍⡉⠉⠽⣻⡛⠇⡰⣉⢾⣱⢻⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⠿⢟⣫⢟⣻⣾⢟⣽⣫⣟⣯⣙⡷⣶⣦⣤⣍⣉⠒⠤⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢴⠖⣏⣩⡭⡵⠶⠖⢾⣿⢿⡻⢿⣿⣿⣿⣿⠃⠌⢠⠊⡐⢌⠠⠐⡀⠁⠠⠁⠠⠐⡀⠂⡁⠢⢄⠡⠂⣃⠱⢈⠴⣫⢞⣭⣟⣻⣿⣿⣿⣿⢻⡑⢣⢷⣿⠃⡽⢋⢱⡏⣮⢟⣽⠞⡿⣹⢶⣻⠿⣏⣉⣍⢛⠿⣿⣶⣤⣉⡉⠒⠤⣀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠔⣊⣹⠷⠒⠚⠉⠁⢀⠠⣀⡐⢌⢂⡙⢿⣟⢾⣿⠆⣽⡏⠀⠐⢂⠱⣈⠂⡅⠣⢄⠡⣀⠡⢂⠡⠄⡡⢂⠅⠎⡰⠡⢄⡊⡔⡸⡱⢞⣮⣷⣿⣿⣿⣿⣿⠂⢌⣱⣿⡏⠰⢀⢂⠣⡜⡰⢊⢦⣛⠶⣩⢏⡵⣫⡟⡽⣎⢾⡱⣆⢯⣛⢿⣿⢿⣶⣤⣉⠒⠤⡀ ⠀⠀⠀⠀⠀⠀⣀⠴⣂⡯⠗⠋⠉⠁⢀⠠⣄⠆⠲⡘⢆⠣⡱⠜⡬⠒⡌⠦⡙⢎⣽⡆⣿⡇⠀⠈⠄⡃⢤⠘⠄⠣⢌⠒⡠⠱⢌⡘⢂⠱⢨⠌⡒⡅⢋⠦⡱⣍⢳⣙⣧⣟⣷⣿⣿⣿⣿⣿⠀⢂⣾⡿⢁⠃⠌⡀⠓⣄⢣⣙⢦⡻⡜⡵⣎⡷⣳⣝⡳⣽⢺⣝⣮⢯⡽⣾⢿⣿⣿⣻⢿⣿⣶⣮ ⠀⠀⢀⡠⢔⡭⠞⠋⠁⢀⣀⠰⠒⡙⠊⠑⣀⢊⡑⣈⠤⢡⠔⡢⢔⡡⢚⠴⣉⠖⡬⢷⢸⣷⠀⠀⠀⡓⢦⡉⣎⠱⢊⡔⠡⢆⢣⡘⡌⢣⠥⣊⢕⢊⢧⠞⡱⣜⣣⢝⣶⣿⢿⣿⣿⣿⣿⡟⠀⠜⡘⠁⡄⢨⠐⡌⡱⢰⣦⡟⣦⢻⡜⣳⡝⡾⡵⣎⢷⡭⣗⣞⢾⡭⢿⡽⣯⣿⣿⣿⣿⡿⣿⣿ ⠤⢞⡹⠞⠉⠀⠀⡀⠌⡤⠄⠦⡑⡴⣉⠳⡌⢦⠱⣌⠲⣡⠞⡱⢊⡔⡫⢜⡡⢏⠴⣩⠆⢿⣧⡀⠀⢹⣲⠹⣆⢯⢣⢼⡑⣎⢦⢱⡈⢇⢮⣱⢾⣯⢿⡿⣕⡾⣲⣿⣿⣟⣿⣿⣿⣿⡿⢁⡈⠐⣀⠢⠐⡅⢎⣰⣱⢏⡳⣌⠷⣙⡾⣱⠞⡷⣽⣹⡞⣷⣹⡞⣧⣟⣯⣿⣷⣿⣿⣿⣿⣿⣿⣿ ⠴⠋⠀⢀⠠⡘⢤⡱⢋⡔⣋⢧⢳⡘⡥⢓⡜⢢⠓⡤⢓⢦⡙⠴⣋⠴⣙⢬⠓⣭⢚⡴⣛⢬⣻⣿⣦⣤⣯⣻⣜⣣⠟⣮⡝⣎⣞⣶⣽⣿⣾⣽⣿⣞⣿⣽⣯⣿⣿⣿⣻⣿⣿⣿⣿⠟⣁⠂⠤⣁⡆⠱⠡⣈⣶⠾⣍⢏⠶⣩⠞⣡⠷⡝⣯⢳⡽⣲⢹⢶⣭⣟⠷⣞⢷⣻⡼⣿⣾⣟⣿⣿⣿⣿ ⠀⡄⡘⣄⢣⠝⣦⣙⢧⢺⣭⢲⣭⣷⢣⠏⡜⣡⢋⠶⣉⢦⡙⠼⡰⢣⢍⠶⣉⠶⣩⠖⡽⣎⢷⡫⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢛⣦⡾⢢⢙⡰⠜⣀⢣⣵⣾⠟⣶⣚⣮⢷⣝⢮⡽⣹⣼⣜⣧⣶⣧⢿⣼⣶⣿⣯⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿ ⡒⢬⠱⣎⢇⡻⢴⣙⣎⡳⣬⣷⣟⠮⡥⣋⡔⢣⢍⠲⣉⠖⣌⡳⢍⢧⡚⣌⢧⠛⡴⣻⢵⣫⢞⣭⣓⣦⣙⢎⡛⣉⠯⡭⣉⢧⡙⢆⠳⣌⢚⠭⣹⣿⡿⢭⣛⠽⣩⢋⡝⣤⣷⣿⠫⡐⢅⠢⣁⣣⡾⣟⣳⣭⣿⣽⣟⣾⣿⡿⣿⠿⣟⣟⡻⣏⣟⣻⣛⣟⣻⣟⣿⣻⣟⡿⣿⢿⡿⣿⣿⣿⣿⣿ ⣝⢪⡓⣮⢚⡵⣣⣞⣶⡿⣽⣾⣍⣣⣵⣢⣝⣮⣜⣵⣬⣺⣴⣙⣞⣦⣻⣜⣮⣳⣽⣧⣿⣼⣿⣼⣯⣽⣯⣿⣷⣧⣮⣑⣍⠲⢌⢣⠓⡌⢮⢡⢹⢟⡙⠦⣌⣳⣥⣿⣾⣿⣹⣬⣵⣬⣶⠾⣭⠿⠽⠛⠟⠋⣍⠩⣍⠳⣨⣙⡬⡽⢮⡼⣹⢷⣯⣷⢿⣾⢿⣿⣞⣿⣿⣽⣿⣿⣿⣿⣿⣯⣿⣿ ⣯⣳⣽⠾⣯⠟⠿⣛⠻⣝⠻⣙⢏⡹⢃⢏⡙⢏⠞⡽⢳⡭⣟⠿⣽⣻⠿⣽⣟⡿⣽⣷⢿⣿⣾⣧⣿⣾⣷⣿⣿⣿⣽⣿⣿⣿⣾⣶⣭⣘⡔⣂⢆⣬⣼⣷⠿⠿⢛⠛⡋⠍⢢⠐⣀⠂⠄⢂⠄⡐⢠⠉⡬⣑⠦⠳⣘⢋⠳⣉⠖⣙⠦⡻⣝⡻⢾⡽⡻⣿⢿⡾⢿⣻⣾⢿⡿⣿⣿⣿⣷⣿⣿⣿ ⡍⡱⢌⠲⢄⢫⡱⢎⠳⣌⠳⡍⢎⡖⡩⢖⡹⢎⡽⡱⢫⢼⣩⢻⣜⡷⣿⣟⡿⣿⢿⡿⣿⣻⡽⣯⣛⣯⣿⢿⡿⣿⣿⣿⣿⣾⣽⣿⣿⣿⣿⣿⣿⠿⣋⠵⢊⠴⣁⠢⠌⡄⠣⠰⠠⠌⠒⠄⢂⠄⠣⢌⠡⠡⢎⠱⠠⣍⠒⣄⠚⡌⢲⠱⣌⠳⣣⣝⣳⢹⣏⡟⣿⣳⡿⣿⣻⣯⣿⢾⣿⣯⣿⣿ ⠜⡰⡌⢦⡙⣆⢳⡩⢖⡬⣓⢬⡓⣬⢳⡭⢎⡳⣜⣱⢻⡎⢷⠻⣞⡹⢧⣫⢽⡹⣎⢷⣳⢯⣷⣻⢯⡿⣽⢯⣟⣿⣿⢿⣿⣿⣿⣿⣿⢿⣿⣿⢧⢳⡜⢚⠷⢶⠶⡶⣷⡼⢶⡷⢷⡾⠟⡞⢣⣜⣴⡾⣼⣳⣾⣼⣧⣦⣍⢢⡙⢌⠣⡙⢂⠳⢡⠲⣌⠳⣌⠿⡲⣽⣹⢿⢷⣻⢿⡿⣯⣿⣷⣿
⠀⠀⠀⠀⠀⠀⢀⣤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⢤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡼⠋⠀⣀⠄⡂⠍⣀⣒⣒⠂⠀⠬⠤⠤⠬⠍⠉⠝⠲⣄⡀⠀⠀ ⠀⠀⠀⢀⡾⠁⠀⠊⢔⠕⠈⣀⣀⡀⠈⠆⠀⠀⠀⡍⠁⠀⠁⢂⠀⠈⣷⠀⠀ ⠀⠀⣠⣾⠥⠀⠀⣠⢠⣞⣿⣿⣿⣉⠳⣄⠀⠀⣀⣤⣶⣶⣶⡄⠀⠀⣘⢦⡀ ⢀⡞⡍⣠⠞⢋⡛⠶⠤⣤⠴⠚⠀⠈⠙⠁⠀⠀⢹⡏⠁⠀⣀⣠⠤⢤⡕⠱⣷ ⠘⡇⠇⣯⠤⢾⡙⠲⢤⣀⡀⠤⠀⢲⡖⣂⣀⠀⠀⢙⣶⣄⠈⠉⣸⡄⠠⣠⡿ ⠀⠹⣜⡪⠀⠈⢷⣦⣬⣏⠉⠛⠲⣮⣧⣁⣀⣀⠶⠞⢁⣀⣨⢶⢿⣧⠉⡼⠁ ⠀⠀⠈⢷⡀⠀⠀⠳⣌⡟⠻⠷⣶⣧⣀⣀⣹⣉⣉⣿⣉⣉⣇⣼⣾⣿⠀⡇⠀ ⠀⠀⠀⠈⢳⡄⠀⠀⠘⠳⣄⡀⡼⠈⠉⠛⡿⠿⠿⡿⠿⣿⢿⣿⣿⡇⠀⡇⠀ ⠀⠀⠀⠀⠀⠙⢦⣕⠠⣒⠌⡙⠓⠶⠤⣤⣧⣀⣸⣇⣴⣧⠾⠾⠋⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣭⣒⠩⠖⢠⣤⠄⠀⠀⠀⠀⠀⠠⠔⠁⡰⠀⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⢤⣀⣀⠉⠉⠀⠀⠀⠀⠀⠁⠀⣠⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠒⠲⠶⠤⠴⠒⠚⠁⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣿⣶⣶⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠘⢿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠈⠻⣿⣿⣿⣿⣆⠀⠀⠀⢀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣀⣤⣶⣶⣌⠻⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⠁⣰⣿⣿⣿⣿⣿⣦⣙⢿⣿⣿⣿⠄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣦⣹⣟⣫⣼⣿⣿⣶⣿⣿⣿⣿⣿⣿⣯⡉⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⢻⣿⣿⣿⣿⣿⡇⠀⠀⠈⠉⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣴⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⡇⠀⠸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⢿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣶⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣧⣄⣐⣀⣀⣀⣀⣀⡀ ⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠁⠛⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠤⢔⣶⣒⠒⠒⠒⠠⠄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⢊⡡⠔⣶⡿⠛⠛⠁⠉⠉⠐⠢⣤⣭⡲⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⢀⠔⢡⠖⠁⠀⠘⠁⠀⡀⠀⠀⠀⠀⠀⠀⠛⠛⢷⡀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⠊⢎⠀⠀⠙⢦⡀⠀⠀⡰⠃⡐⠁⠀⠀⠀⢠⣮⠴⠒⠿⣄⠀⠀⠀⡠⠤⢤⡀⠓⡄⠀⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠱⠀⡰⠁⢰⠁⠀⠄⡀⠀⣶⠃⣠⡤⡄⠙⡄⠀⣼⠞⠉⠙⠻⣇⠸⡄⠀⠑⡀⠀⠀⣠⠚⠛⠛⡗⢄⠀⠀⠀ ⠀⠀⠀⠈⠆⠀⠀⠀⠀⠀⢀⢠⠃⠀⠀⠁⠀⠀⠤⣁⣸⢸⣧⣿⢹⠀⣷⠀⣿⣞⣿⣧⠀⠘⡆⠀⠀⠀⢳⠀⡞⡁⠀⠀⠐⠁⠈⡆⠀⠀ ⠀⠀⠀⠀⠘⣀⠀⠄⡤⠤⣾⣼⡀⠀⠀⠀⠀⠐⠂⠒⠌⠹⣿⡷⠋⢠⡟⠀⠈⣿⣯⡽⠁⢀⡇⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⡘⠀⠀⠀ ⠀⠀⢠⡴⠋⠀⠀⠀⠀⠀⠀⠈⠙⠳⣄⠀⠀⠊⠉⠱⡒⠄⠪⠱⠶⠋⠀⠀⠀⠈⠣⣤⡴⠞⠁⠂⠀⠀⢀⣇⣧⣤⣄⠀⢀⡸⠀⠀⠀⠀ ⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠜⡆⠀⠀⠀⠀⠘⣦⣀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠨⣻⠭⠀⣠⠞⠋⠁⠀⠀⠀⠀⠀⠩⡲⣄⠀⠀ ⢰⠁⠀⠀⠲⣀⡠⠔⠂⠀⠀⠐⠒⠲⢖⣇⠀⠀⠀⠀⠀⢹⣧⡉⠐⠒⠤⠤⠤⢤⣤⠖⠊⠁⠀⢰⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢪⢧⠀ ⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⢿⣿⣶⣤⣄⣀⣤⣾⠇⠀⠀⠀⢀⣼⠞⠛⠉⠉⠉⠑⠒⠠⢄⠔⠀⠀⠀⠇ ⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣬⠀⠀⠀⠀⠀⠀⢢⠙⡟⢿⣿⣿⡿⠀⠀⠀⠀⠸⡅⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀ ⠘⡆⠀⠀⠀⠀⠀⢲⠊⠁⠀⠀⠈⠑⢳⢮⡀⠑⢠⡀⠀⠀⠀⠀⠙⠳⠤⠿⠛⠁⠀⠀⠀⠀⠘⣄⣀⢤⠤⠤⠤⣀⠀⡀⠀⠀⠀⠀⠀⡀ ⠀⠘⢆⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⡜⠻⡦⡀⠉⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠙⠏⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⡰⠁ ⠀⠀⠀⠑⠄⣀⠀⠀⠀⠀⠀⠀⣀⠠⠊⠀⠀⠈⠙⠳⢦⣄⠀⠀⠀⠀⠀⠀⠀⣀⡀⠔⠊⠁⠀⠐⢄⠀⠀⠀⠀⠀⠈⠀⠀⠀⢀⠜⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠑⠢⡤⠀⠀⠀⠠⡴⠊⠁⠀⠀⠀
__ / ))) _ / イ ((( \ ( ノ  ̄Y\ | (\ ∧_∧ | ) ヽ ヽ`(´^ㅅ^)_/ノ/ \ | ⌒Y⌒ / / \ヽ | ノ / \ トー仝ーイ / | ミ土彡 | ERAY IS MY #1 !
⠉⠉⠉⠉⢉⣩⣽⢿⣛⣛⣛⣛⣛⡛⢿⣿⣍⡉⠉⠉⠉⠉⣉⣉⣭⣭⣿⢿⡿⠯⣭⣭⣏⣉⠉⣉⢉⡉⡉⠍⠛⢿⣿⠉⠁⠁⠉⠈⠁⠉ ⠀⠀⠀⠰⢛⣭⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣌⠻⢷⣦⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣷⣦⣍⡙⠻⣦⡀⢢⠑⡨⠘⣾⣟⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⠰⢡⣿⣿⣿⣿⣿⠛⠉⠉⠙⠛⠿⣿⣿⣧⡀⠹⣿⢓⣼⣿⡿⠛⠉⠉⠉⠛⠿⣿⣿⣿⣦⠈⢻⣆⠘⡠⢑⡸⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⡄⢂⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡄⠐⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣧⠀⢻⡆⡑⢤⠛⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡐⠠⣿⣿⣿⠃⠀⣠⣶⣶⣶⣤⡀⠀⠀⠀⠙⣿⡧⠘⣿⡏⢠⣤⣶⣶⣶⣦⡀⠀⠀⠀⠉⣻⣿⡆⠘⣿⣦⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⠀⠐⡿⣿⣧⡀⣾⣿⣿⣿⣿⣿⣿⣆⠀⠀⢠⣿⡷⠀⣿⡇⣾⣿⣿⣿⣿⣿⣿⡄⠀⠀⣾⣿⣿⠇⢠⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⢁⠀⢹⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⣸⣿⡗⠘⢻⣿⡛⠿⢿⣿⣿⣿⡿⠁⠀⢠⣿⣿⡟⠀⣾⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠣⢀⠈⢻⣿⣿⣷⣭⣉⠛⠉⠋⠉⠁⣠⣾⣿⡟⠀⡀⠀⠻⣿⣦⡀⠀⠈⠉⠀⢀⣴⣿⣿⠟⠀⣼⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⢍⢀⠣⢀⢹⣛⠿⣿⣿⣷⣶⣶⣶⣾⣿⠟⠋⣠⣾⣿⣤⠀⠉⠻⣿⣷⣤⣴⣺⣻⡽⠞⠁⣠⣾⠟⡤⣉⣿⠃⠀⠀⠀⠀⠀⠀⠀⢀⠴ ⠐⡈⢆⡐⠀⠘⠻⢷⣮⣽⣛⣛⣛⣛⣃⣤⣴⠾⠛⠻⠿⣿⣿⣶⣤⣀⣈⣁⣉⣉⣡⣤⠶⢛⣿⣟⢢⠵⣸⣿⠀⠀⠀⠀⠀⠀⠀⢠⢸⣻ ⢂⡁⢢⠐⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠛⠉⠁⠀⠀⠀⠀⠈⠉⠛⠛⠛⠛⠛⠋⠉⠉⠀⠀⢠⣿⡉⢆⡣⣿⡏⠀⠀⠀⠀⠀⠀⡀⢦⡹⢧ ⠂⠌⡄⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⡘⢦⢱⣿⠁⠀⠀⠀⠀⠀⠄⡘⢦⡹⣏ ⠈⡔⠨⢄⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡧⡑⢎⣣⢿⠂⠀⠀⠀⠀⠀⢂⡑⢮⡵⢯ ⠡⣌⠱⡨⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡧⣙⠆⣧⣿⠁⠀⠀⠀⠀⠐⡠⡘⢧⣛⣿ ⡑⢆⡣⢱⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣗⡹⢎⢿⡇⠀⠀⠀⠀⡈⢐⠰⣹⢧⣻⣞ ⣉⠖⣡⢃⠎⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡧⣝⣮⣿⠇⠀⠀⠀⡁⢐⢈⠲⣍⠾⣧⢿ ⢤⢋⠴⣉⠖⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣻⡟⣿⡄⠀⢀⣂⣀⣡⢈⡶⣭⣿⣽⣿ ⢆⣫⢞⡱⣎⣿⣎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣝⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⣀⠄⠆⡶⡜⠶⠣⠓⠚⠈⠂⠐⠀⠀⠀⠀⠀⢀⣿⣿⣿⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⠇⢻⣷⣦⠀⠀⠀⠀⠀⠀⠤⢈⠴⡰⢎⡱⢒⠆⠒⠠⠂⠀⠀⠀⠀⠀⣼⣿⢹⣷⣿⣷⣯⣷⣟⡾⣽⣫⢷⣯⣟⣾⣳⣟⣿ ⣿⣿⣿⣿⡟⢰⣄⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠂⠁⠂⠀⠁⠈⠀⠀⠀⠀⠀⠀⠀⣸⣿⠣⡌⣿⣿⣿⣽⣷⢯⣟⣯⢿⡽⣾⡹⣞⡷⣽⣞ ⣿⣿⡿⣿⡇⠘⣿⡆⠹⣿⣷⣂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⣿⡏⣾⣇⢹⣿⣿⣿⣾⣿⣿⣿⣿⣿⣷⣿⣿⣽⣳⣞ ⣿⣿⣽⣻⡇⢈⣿⣷⠀⢿⣿⣿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣿⣻⣿⣧⠚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣟⣾ ⣿⡷⣯⢿⡇⡘⣿⣿⣄⢸⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡽⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⣿⣻⣿⣿⣿⣿

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⣿⣿⣿⣿⣿⣿⣿⣧⣿⣴⣷⣟⠱⠟⡒⠿⠿⠦⢤⣤⡬⠍⠁⠠⠟⣿⣧⣤⣀⣸⣇⡀⠀⢠⣀⠟⠉⠀⠀⠀⠀⠀⠀⢀⣽⣿⣿⣿⣿⣿ ⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡴⢿⣧⣴⡆⣠⠀⠈⠙⣦⡴⠖⠋⠉⠁⠀⠀⠀⠈⠉⠳⢦⣄⠈⠀⠀⠀⠀⠀⣸⠴⠾⠛⠿⣿⣿⣿⣿ ⡣⣬⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠁⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⢠⣅⣰⣶⠿⣿⣶⡄⢁⣈⢻⣿⣿⣿ ⣿⡿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⢫⡍⠙⣿⣷⣾⣿⣾⣿⣦⣽⣿⣿ ⣿⣧⣸⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢸⢹⠀⠘⣿⣿⣿⣿⣙⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠙⠿⣿⡶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠃⣬⣛⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣠⣞⡁⠀⠀⠀⠀⣠⣴⠾⠿⣿⣶⣄⠀⠀⠀⠙⢦⡀⠀⠀⠀⢀⣴⡟⠉⠉⠁⣸⣿⠋⠉⠛⠿⠏⢻⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠙⢆⠀⠀⢀⡟⠁⠀⠀⠀⠉⠉⠳⠤⠀⠀⠈⣿⡆⠀⠀⠸⠉⠃⠀⠀⠀⣤⠀⠀⠀⢀⣀⡀⢸⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣱⣿⣿⡀⠀⠈⣧⠀⠀⣇⠀⢤⠀⠀⠀⠀⠀⠀⢀⣤⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣷⣿⢡⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡤⢬⣧⠀⠻⢄⣼⣶⡖⠒⣲⣶⢾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢬⣷⣿⣿⣿ ⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣀⣦⡿⠀⠀⠀⠙⠿⠥⠴⢛⣡⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿ ⣷⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠙⠋⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⢻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢻⡄⠀⠀⠀⢀⣴⣶⣶⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣿⣷⣸⢿⣄⠀⠙⠧⣬⣿⠿⠟⠁⠀⠀⢠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⢀⡇⣸⣿⣎⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⢸⣏⣿⡹⣿⢸⣿⣆⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⡀⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⣻⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⠻⠿⣿⣿⡆⠑⠂⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⢀⣽⣿⢻ ⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⡃⠐⣿⣟⣻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⢫⣴⣾⣿⣻⣿ ⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠘⣿⢿⣿⡧⢰⣿⣿⣯⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡿⢣⣾⣿⣿⣿⡟⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⢹⡟⢶⣿⠿⣿⣿⣿⣾⣿⡀⢄⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⠃⠀⠀⢀⣴⡾⠯⢞⣵⣿⣿⣿⣿⣿⠠⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢷⣴⣿⣿⣿⣿⡿⣷⡟⢷⡀⠑⢶⣤⣤⣤⣤⣴⣾⣿⡀⣀⣀⣴⣶⡿⠟⢉⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣽⣿⣿⣦⡙⢦⡀⠀⠳⠬⠽⢯⣝⣿⣫⣹⠯⠄⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠛⠛⠋⠹⢿⣿⡿⢿⣿⣇⠀⠀⢸⣿⣿⣿⣟⣿⣟⣿⣿⣏⣿⣾⣟⢦⣀⠀⠀⠀⠈⠁⠈⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⢀⣀⣠⣤⣭⣽⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⣀⣀⣤⣴⣾⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⢃⠄⠡⠀⠀⡠⠔⠂⠈⠉⠉⠑⠢⡀⠀⠀⢠⡒⢄⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⠅⡁⠀⠑⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠁⠳⣤⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⣀⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠠⠊⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠗⡌⠀⣸⣤⣄⠀⠀⠀⣀⡀⠀⠀⠀⠀⡇⠀⠀⢶⠄⠀ ⠀⠀⣠⠀⠀⠀⠀⠀⠃⡵⢱⣿⣿⡇⠀⠀⢄⣭⣅⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠻⠁⠀⠀⠀⢀⠃⣇⠸⡛⢉⠀⣼⡄⠈⠀⠀⠉⠊⠀⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡌⠀⠉⠂⠉⠉⠘⢽⠁⠀⠀⢀⠀⠀⠀⢁⠀⢀⠀⠀⠀ ⠀⣤⠀⠀⠀⢀⡠⣧⠀⠀⠀⠀⠈⢲⣶⣶⡏⠀⠀⠀⠀⠠⣇⠈⠋⠁⠀⠀ ⠀⠈⠀⢀⡴⠋⠀⠘⢷⡀⠀⠀⠀⠀⠻⠟⠀⠀⠀⠀⡠⠊⠈⠢⡀⠀⠀⠀ ⠀⠀⣴⠋⡀⠀⠀⠀⠈⠈⠲⣴⠤⢤⠬⠤⢤⠶⠒⠉⢀⠀⡀⠀⠐⣄⠀⠀ ⢀⠞⠁⠀⠀⠆⠀⠘⠄⠀⣠⠏⠀⠀⠀⣄⠈⢇⠀⠀⠀⠀⠁⠀⠀⠀⢧⠀ ⡎⠀⠀⠀⠀⠠⠄⠀⠀⢰⡳⢤⣀⣀⣀⣩⡴⠞⣆⠀⠀⠀⠀⠀⠀⠀⠀⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣤⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣴⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠶⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠶⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣴⠏⠀⢸⣿⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⠁⠀⠀⢸⣿⠀⢱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣇⢀⠀⠀⢸⠟⠃⠀⢧⡀⠀⠀⠀⠀⠀⠀⢀⣼⠏⠀⠀⣠⣤⣶⣿⣟⢳⣶⣶⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠿⣶⣴⣤⣀⡀⠀⠀⠱⣄⠀⠀⠀⠀⢠⡿⢋⡇⢀⣾⡿⠿⠛⠋⠉⠉⠉⠛⠻⠿⢿⡿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠙⠻⢦⣄⠀⠈⠳⢦⣀⣰⠟⢁⣨⡵⠏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣶⠶⣦⣤⣀⣨⡷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠐⠲ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢳⣄⠀⠀⢤⣥⡼⠛⠛⠇⠀⠀⠀⠀⠀⣀⣀⣉⣛⡳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠷⠿⢿⣇⣽⣦⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠹⣦⣀⢚⠁⠂⠲⢦⣤⣀⣀⣤⣶⠿⢻⣭⣭⡛⠻⣦⡽⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠉⠙⢿⣧⠀⠀⠀⠀⠀⣠⡼⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡏⠈⠀⠀⠀⠀⠀⠉⠛⠿⣽⣶⣿⠿⣿⣿⣀⣈⣷⡸⣆⡤⠤⠂⠀⠀⠠⠀⡀⠀⣺⣭⣥⡴⣦⣤⣅⠀⠀⠀⢸⡀⠀⣠⡴⠚⠉⠀⠀⠲⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠋⠊⠉⠁⠈⢁⡀⠀⠀⠀⠀⠀⠀⠳⣼⣏⣿⣿⣿⣦⠈⠙⢷⡀⠀⠀⠉⠉⠀⠀⢀⣀⣤⠴⠶⠿⠿⠦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⢿⣛⠒⠒⢛⠃⠀⠀⠀⢀⡤⠞⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⢁⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⣴⣏⠀⠀⣀⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⢰⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⢸⠀⠀⠀⠀⠀⠀⣰⣾⡿⠿⠿⠛⠓⠀⠀⢿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⢡⠘⠀⠀⠀⠀⠀⢚⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠙⠻⢿⣿⣯⡛⠻⢶⣶⣶⣶⣶⣶⣿⣷⣶⣶⣁⠀⠀⠀⠀⠀⠀⠀⠀⠙⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣸⡁⠀⠀⠀⠀⠀⣾⠁⢙⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠓⠒⠒⠛⠉⠉⠉⠉⠉⠁⠈⠙⠶⣾⣷⣆⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⣧⣿⠃⠀⠀⠀⠀⢸⡇⠀⠈⠁⠈⠙⠳⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⡿⠸⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⠦⢤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠈⢿⡇⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣴⡾⢻⣿⠁⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠒⠒⠲⠶⠶⠶⠶⠦⢤⣤⠤⠴⠒⠋⠉⠀⠀⠈⠃⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⣾⠿⣋⣭⣴⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣫⠾⣋⣽⣿⣷⣿⠀⠀⠀⠙⢧⡀⠀⠀⠀⠀⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣆⠀⠀⠀⠀⠀⠀⠀ ⠋⣼⣿⢿⣶⣿⡇⠀⠀⠀⢀⠈⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡮⡛⣦⣄⠀⠀⠀⠀ ⣤⣿⣿⣾⣿⣿⡆⠀⠀⠀⠙⠄⠈⠻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢻⣷⢹⡎⣿⣷⣤⣀⣀ ⣿⣿⡿⣿⣿⠤⣫⡀⠀⠀⠀⠀⠀⠀⠈⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢹⣬⣿⡞⢻⡿⣿⣧⡻⢿ ⣿⣿⣾⣿⡯⣠⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⢸⣿⣿⠦⡄⢹⣾⣿⣷⠙ ⣿⣿⣿⣿⡿⠋⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢀⡼⠃⠀⢸⣿⡇⢠⣄⣘⣿⣷⡿⣷ ⣿⣿⣿⣿⡷⠘⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⣋⣴⠟⠁⠀⣠⡿⣿⣇⣀⠉⣿⣿⡋⠱⣏ ⣿⣿⣿⣿⣧⠸⢻⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⣾⣾⠟⠁⠀⠀⣼⡏⣷⣿⣛⢻⣶⣿⠿⠿⣆⣟ ⣿⣿⣿⣿⣿⡂⠀⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣽⡾⠟⠁⠀⠀⠀⣴⡟⢷⣿⣏⠛⢿⣿⣦⣄⡀⠛⠛ ⣿⣿⣿⣿⣿⣧⠠⠈⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⠶⣶⣿⡿⠛⠉⠀⠀⠀⠀⢀⣾⣿⢻⣿⠿⣿⡷⣾⣿⣍⣿⡇⢀⣴ ⣿⣿⣿⣿⣿⣿⡆⠀⠸⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠓⠀⠠⠄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠟⠉⠀⠀⠀⠀⠀⠀⣀⣼⣿⠟⠁⣾⣿⣧⣼⣏⢿⣯⡀⣽⠃⣾⠁ ⣿⣿⣿⣿⣿⣿⣿⡄⠀⢹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠁⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣼⡿⠋⢀⣾⣇⠈⣿⣏⣻⡟⠉⣿⢋⣿⠛⣷
⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⣿⠿⣟⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣏⡏⠀⠀⠀⢣⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣟⠧⠤⠤⠔⠋⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⡀⢀⣶⠤⠒⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠈⢿⣆⣠⣤⣤⣤⣤⣴⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⢿⢿⠀⠀⠀⢀⣀⣀⠘⣿⠋⠁⠀⠙⢇⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⢇⡞⠘⣧⠀⢖⡭⠞⢛⡄⠘⣆⠀⠀⠀⠈⢧⠀⠀⠀⠙⢿⣄⠀⠀⠀⠀ ⠀⠀⣠⣿⣛⣥⠤⠤⢿⡄⠀⠀⠈⠉⠀⠀⠹⡄⠀⠀⠀⠈⢧⠀⠀⠀⠈⠻⣦⠀⠀⠀ ⠀⣼⡟⡱⠛⠙⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠹⣧⡀⠀ ⢸⡏⢠⠃⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠸⣷⡀ ⠸⣧⠘⡇⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⣿⠇ ⠀⣿⡄⢳⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠈⠆⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀ ⠀⢹⡇⠘⣇⠀⠀⠀⠀⠀⠀⠰⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⣼⡟⠀⠀ ⠀⢸⡇⠀⢹⡆⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢳⣼⠟⠀⠀⠀ ⠀⠸⣧⣀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⢃⠀⢀⣴⡿⠁⠀⠀⠀⠀ ⠀⠀⠈⠙⢷⣄⢳⡀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⣠⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⢿⣷⣦⣄⣀⣀⣠⣤⠾⠷⣦⣤⣤⡶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠄⠒⠒⠉⠉⠉⠉⠉⠓⠂⠤⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠄⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⢄⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀ ⠀⠀⡰⠁⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠢⠀⠀ ⠀⡐⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣦⠀⠀⣰⣾⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠱⠀ ⡰⠀⠀⢀⣴⣿⠟⠉⢈⠟⠁⢹⣿⣿⡇⢀⣿⠟⠁⠀⡬⠛⣿⣿⣿⣷⣄⠀⠀⢡ ⡇⠀⣠⣿⡿⠁⠀⠀⢎⠀⢀⣼⣿⣿⡇⢸⠏⠀⠀⠘⠀⣰⣿⣿⣿⣿⣿⣦⠀⢸ ⡇⢠⠃⡿⠁⠀⠀⠀⠀⣷⣿⣿⣿⣿⡿⢸⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡆⢧⢸ ⡇⡞⠀⡇⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡇⢸⣆⡀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⢸⢸ ⡇⢧⠀⢷⣄⣀⣀⣴⣿⣿⣿⣿⣿⣿⡇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢸⢸ ⢰⠸⡄⠘⣿⡟⠻⣿⣿⣿⣿⣿⣿⡿⠁⠀⢻⣿⡉⠙⣿⣿⣿⣿⣿⣿⡏⠀⡞⡸ ⠀⢂⠹⣄⠘⣧⣠⣾⣿⡿⢿⣣⡿⠁⠀⠀⠀⠻⣿⣿⢿⡿⢟⣾⣿⠏⢀⠜⠠⠁ ⠀⠀⠢⡈⠑⠚⠿⠷⠶⠿⠟⠋⠀⠀⠀⠀⠀⠀⠈⠛⠿⠾⠿⠿⠕⠛⠁⡰⠁⠀ ⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⠀⠀ ⠀⠀⠀⠀⠀⠑⠠⡀⠀⠀⠀⠀⠀⠠⠞⠙⠦⠀⠀⠀⠀⠀⢀⡠⠊⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠂⠤⢀⣀⣀⣀⣀⣀⣀⣀⡠⠔⠂⠁⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣇⣿⡽⠿⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⢶⠭⠥⡉⠛⣋⣁⡀⠀⠈⠀⠙⡦⢄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡼⠳⠊⢼⡷⠼⠄⠷⠾⠟⠷⡄⡆⢀⠱⡈⠛⢦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡇⠇⢠⠎⠀⠀⠀⠀⠀⠀⠀⢹⡇⢸⠀⠈⠀⠌⢧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⣻⡟⠀⡧⢒⣲⠄⠀⠠⠤⣤⡤⢸⡇⢨⠀⢒⡖⠁⠂⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢉⡇⢠⡗⠟⣿⢼⠀⠠⠸⣻⢷⠾⢷⡈⠦⡘⠻⠓⠃⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣷⣼⠀⠀⠰⢁⣀⣁⠄⠀⠀⠀⠀⠑⡶⢾⡲⣀⢀⡼⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢻⡀⠙⠦⣀⣀⣀⣀⠅⠂⠀⠀⠀⠸⡍⠧⢈⣼⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠘⠨⠄⠭⠋⠀⠀⠀⠀⢀⠞⡇⣧⠾⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⢀⡀⠤⠂⠁⠀⢻⠹⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡏⠉⠉⠁⡠⠂⠀⠀⠀⢈⣷⣷⡄⠀⠀⠀⠀⠀ ⠀⢀⡠⣴⠶⠟⠵⣄⠠⣦⣴⠞⠀⢀⠐⠈⠀⠀⢀⣠⠶⣫⡿⢟⠹⠛⢻⡶⠤⡀ ⠐⡱⠊⠀⠀⠀⢌⡌⡳⠙⣇⠀⠀⠀⠀⣀⣤⡲⠛⢡⣊⠎⡔⡡⠒⠈⠀⠀⠀⠈ ⠐⠃⠀⠀⠀⢀⡎⡹⠁⠀⠙⠿⠷⠤⠝⠊⠁⠀⣰⣡⠏⡜⡜⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣇⢹⣁⣀⡀⠀⠀⠀⠀⠀⠀⢀⣜⣩⢻⢰⡝⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠚⠂⠐⠓⢌⢲⣢⠖⠒⡤⠤⢊⢀⠃⢀⠈⠳⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠈⠉⠁⠐⠒⠊⠀⠈⠒⠄⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣠⣤⡀⠀⠀⠀⠀⢀⡠⠐⠒⠒⠒⠒⠒⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⢽⣿⣝⡤⣀⡠⡞⠁⠀⠀⠀⠀⠀⠀⠀⡀⠐⠙⣳⡀⠀⢀⢤⡀⠀⠀ ⠀⠀⠀⠀⠉⢻⠶⠉⠀⠀⠀⢸⡺⠗⡨⠁⠸⠗⡀⠀⠀⢿⢖⣿⣜⣛⠆⠀ ⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⢠⣿⣷⣀⣠⠀⠀⠀⠀⠈⢿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⠈⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀ ⠀⠀⠀⣰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⣤⣶⡾⠏⠀⠀⠀⠀⠀⢰⣦⣦⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣜⠁⠀⠀⠀⠀ ⣿⣿⡀⠀⠀⠀⠀⠈⠺⣷⣿⣿⡀⠀⠀⠀⠀⠀⠀⢀⣤⠊⢸⡧⣀⡀⠀⠀ ⣿⣯⡑⢄⡀⠀⠀⠀⠀⠀⠙⠉⠉⠂⠀⠒⣐⠛⣿⠟⡡⢂⣿⣟⣿⣶⣟⣶ ⣿⣿⣿⣦⡉⠓⠦⣤⣀⠀⠀⠀⠀⠀⠀⣘⠬⠛⠅⢊⡠⣿⣿⡿⣇⣙⣯⣿ ⣿⣿⣿⣿⣿⣿⣷⣶⣦⡈⠈⢀⣄⣀⣊⣠⣤⣲⣾⣿⣿⣽⣿⣿⣯⣿⣿⣿ ⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
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જ⁀➴ - WHY ARE PEOPLE SAYING "like if u use c.ai" WHEN I SEARCH SYMBOLS LIKE SHUT THE FUCK UP!! I WANT SYMBOLS NOT UR UNNECESSARY NONSENSE!! ♡︎♡︎(,,>﹏<,,)જ⁀➴(upvote if u agree <𝟑) (๑ᵔ⤙ᵔ๑) (๑ᵔ⤙ᵔ๑) (๑ᵔ⤙ᵔ๑) (๑ᵔ⤙ᵔ๑) (˵ ¬ᴗ¬˵) (๑ᵔ⤙ᵔ๑) (๑ᵔ⤙ᵔ๑)
“s-stop aruguing!” shut the fuck up im trying to find symbols dumbass ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠒⠋⠉⠭⠓⠲⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⡋⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠶⠛⠋⠁⠀⠀⠀⠁⠹⠝⠛⠢⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢨⠛⢦⣄⠀⠀⠀⠀⢀⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠲⣌⠙⢦⣰⠿⠋⢀⣀⡠⠴⠶⠒⠚⣫⣽⣯⣉⡛⠒⠲⠶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣶⢻⣶⠚⠋⠁⠀⢀⣠⢤⣾⡿⠟⠛⠻⢿⣤⣀⣀⠀⠀⠉⠓⠢⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣾⣧⠀⠚⠉⠉⠁⡿⠋⠀⠀⠀⠀⠈⠀⠀⠉⠛⠲⣤⢀⠀⢀⣽⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠒⠲⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠽⡇⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⠿⠻⢿⣿⣗⣆⠀⠀⠀⠀⠀⠀ ⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⢀⣠⣤⣂⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⠈⠳⡄⠀⠀⠀⠀ ⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⢄⡀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⢠⣿⠟⠉⠀⠈⠓⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠀⠀⠙⣆⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢦⡀⠙⢦⡀⠀⠀⠀⠀⣼⠁⠀⠀⡾⠁⠀⣠⣀⡀⠀⠈⣧⠀⠀⠀⠀⣠⡴⠖⠦⣤⡀⠀⠀⠀⠀⠀⠘⣧⠀⠀ ⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠙⢦⡀⢀⡴⠃⠀⠀⢰⠃⢠⡞⠙⣿⣿⡆⠀⠸⡆⠀⠀⣼⠃⣅⣀⣀⠀⠉⢳⡄⠀⠀⠀⠀⠸⣆⠀ ⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠶⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⢻⡉⠐⠓⠒⠤⢼⣀⢸⣿⣶⣿⣿⣿⠀⢀⡇⠀⠀⡇⣾⠛⢻⣿⣧⠀⠀⢹⡀⠀⠀⠀⠀⠹⡀ ⠘⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠲⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⠘⡇⠀⠀⠀⠀⠀⠈⠛⢿⣿⣬⣿⠃⠀⣼⠁⠀⠀⣷⣿⣷⣿⣿⣿⠀⠀⠀⣷⠀⠀⠀⠀⠀⡇ ⠀⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣇⣠⠤⣤⣀⡀⠀⠀⠀⠻⡉⠁⢀⡴⠁⠀⠀⠀⠘⣿⣿⣇⣿⡟⠀⠀⢂⡟⠀⠀⠀⠀⠀⠁ ⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⡈⠻⣦⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⠀⠀⢻⡙⠂⠀⠀⠀⢹⠔⠋⠀⠀⠀⠀⠀⠀⠙⢎⡉⠁⢀⣠⠤⠾⠦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⢦⡶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢆⠈⢧⣀⣀⣠⡤⠞⠁⠀⠀⠀⠀⠀⠀⢻⣄⠄⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡀⢸⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⣀⣤⣤⣀⠀⠀⠀⠀⠀⡀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣳⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠽⣿⣆⠈⠙⠲⠦⣄⣀⣀⣀⠀⠀⠀⠀⢀⣀⣈⡵⠞⠁⠈⠁⠀⠀⠀⢀⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠲⠤⠤⠤⠴⠖⠺⣏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢿⣿⣷⣄⠀⠀⠀⠀⠀⠉⠉⠉⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⡟⠻⢿⣷⣶⣤⣄⣀⣀⣤⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠻⠿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡽⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⣘⣦⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠦⠖⠒⠀⠀⠀⠀⠀⠀⠀⣠⡴⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⠤⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠷⠚⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
(\__/) (•ㅅ•) _ノヽ ノ\_ `/ `/ ⌒Y⌒ Y ヽ (  (三ヽ人  /  | | ノ⌒\  ̄ ̄ヽ ノ ヽ___>、__/ |( 王 ノ〈 /ミ`ー―彡\ / ╰ ╯ \ / \ /---\ / | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 👠 👠 follow cwream_ on pinterest! search up 'cwream!' for more kaomojis!
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⠞⠛⠛⠉⠉⠉⠉⠉⠙⠛⢦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠞⠉⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠐⢹⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡾⠋⠀⠀⠀⠀⢀⣀⣤⣤⠴⠶⠶⠶⠶⠶⡶⡾⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⠋⠀⠀⢀⡴⠾⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡼⠁⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠃You forgot something... ⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⣰⣏🧠⣀⣀ ⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⢸⡇⣠⠏⠉⠛⠛⠋⠁ ⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⢸⣿⠋⠀⠀⠀⠀⠀⠀ ⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀ ⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⣼⠃⣧⠀

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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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⠀⣿⣾⠿⠿⣿⡾⠀⠀⠀⠀⠀⠀⢰⡾⠆⢀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⣿⠀⠀⣿⠟⠀⢀⣴⣦⡀⣄⣾⠁⠀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⠀⠀⠀⢠⢾⣿⢭⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⡄⣿⡏⠀⢀⣸⢿⣿⣿⣿⡏⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠟⢁⣾⣿⠀⡿⠿⠿⣿⣿⡿⠿⢿⣿⣿ ⠀⢻⣿⡇⣿⠁⠀⠘⠛⡗⠛⣻⠟⠻⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡶⠛⠛⠓⠊⠁⠀⠙⠛⠛⠋⠉⠉⠉⠉ ⣀⣸⠏⣿⡧⠀⢠⡄⢀⡧⣴⠟⠂⠀⢸⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠈⢿⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⣿⢀⣿⢁⠀⠈⠁⢻⠇⠀⠀⠀⡀⠸⢀⠉⠉⢙⣻⣶⡀⠀⠀⢀⣾⣟⣉⣉⠉⠉⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡇⢸⣿⠈⡑⠂⣤⣿⠀⠀⠀⠀⠀⠃⠀⢷⣶⣚⠶⣿⡟⠋⠴⣿⣿⡗⢶⣾⣷⡾⠃⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠳⡄⠉⠀⠸⠶⣾⠁⠀⠀⠐⠂⠀⠀⠀⠀⠉⠉⢫⠉⠀⠀⠀⠀⠀⠉⠛⠛⠋⠁⠀⠀⠀⠀⢀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⡄⠀⠀⠙⡟⠀⠀⠀⡀⠀⠰⠀⠀⠀⠀⣠⡏⡀⠀⠀⠀⠀⠀⢀⣢⠀⠀⠀⠀⠀⠀⠀⢸⡄⢻⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣤⣶ ⡀⠀⠀⠘⣆⠀⢀⠃⠀⠀⠀⠀⠀⠀⡆⢰⡶⠛⠉⠉⠷⣄⠀⣀⣠⣾⠟⠛⠀⠀⠀⠀⠀⠀⠀⣾⣷⠘⣏⠉⠉⠉⣽⣿⣿⠿⠿⠿⣿⣿ ⠇⠀⠀⠀⠘⢦⠀⠈⠑⠢⣄⠀⠀⢀⢷⠈⡇⢰⡶⣄⠀⠈⠉⠉⠉⠁⢀⣀⡤⢶⡆⠀⠀⠀⢰⣿⣿⣇⠸⡖⠒⠒⠚⠛⠛⠀⠀⠀⠉⠉ ⠀⠀⠀⠀⠀⠈⢳⡀⠁⠀⠀⣦⣤⡼⠀⢣⠱⡈⢷⡎⠹⣶⣤⣤⣴⣾⡿⢋⣷⢏⡼⠁⠀⣠⣿⣿⣿⣿⡆⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠲⢿⣿⡇⠀⠀⠳⡙⣌⠻⢶⣄⣇⢹⣩⣇⡴⠟⣡⣞⠁⢀⣼⣿⣿⣿⣿⣿⣇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣄⢀⣿⠒⠒⠂⠠⠝⢿⣷⢤⣄⣉⣉⣉⣤⣴⣾⣿⣏⣠⣾⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡯⠀⠀⠀⠀⠀⠀⠙⠦⣀⣀⣉⠉⠉⢉⣁⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣷⡈⠉⠻⣿⠟⡀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⢻⣷⡀⠿⣿⣿⠏⠁⠀⠀⢼⣿⣿⣿⣿⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣆⠀⠋⠀⠈⠀⠻⣿⣿⣿⣿⣿⣿⡿⠿⠆⠹⣄⢹⣿⣿⣿⡿⠶⣶⣄⣠⣾⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⣀⣿⣿⣿⡟⢻⣿⣀⠀⣀⠄⣹⠟⠋⠁⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⢸⣿⣿⣿⠀⢀⡿⣿⣦⣹⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿ ⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⣾⣿⣿⣿⡾⠛⢷⡌⢹⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣤ ⣽⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣿⠿⠛⠛⠃⠙⢻⡿⠼⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⠿⠛⢡⣿⠛⣿⣿⣿⣿⣿⠛ ⠹⠻⣿⣿⣿⣿⣿⠁⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⢀⡞⠀⣤⣤⣄⠙⠂⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡶⠖⢻⣷⣶⣾⠏⠈⠙⠛⣋⣀ ⠀⢰⣿⠟⠋⣹⠃⠖⠀⢀⡼⠁⠀⠀⣠⣴⣾⣿⣿⠀⠀⠢⢽⣿⠷⠀⢠⡄⢀⡾⠿⠿⠶⣦⡞⠻⣿⠿⡇⠀⢤⣾⣿⣿⣾⣿⣿⣿⣿⣿ ⠀⠈⠉⢁⢴⣏⡆⠀⢰⡟⠀⠀⢀⣼⣿⣿⣿⣿⣧⠀⠀⠀⡀⠀⠀⠀⣿⣿⠟⠿⢷⣤⣤⣼⣿⣴⣿⢇⣤⣿⣾⡿⠟⢻⣿⣿⣿⣿⣿⡟ ⠀⠀⠀⠀⢸⣿⡇⠐⠘⠳⣦⠀⠈⣐⣿⣿⣿⣿⡇⢀⣠⠞⠁⠀⠀⢀⡶⣍⠀⠀⠳⠶⠿⢿⣽⡟⠉⢐⡻⣿⡿⠷⠆⢿⣿⣽⣿⡿⠃⠀ ⠀⠀⠀⠀⠘⣿⣇⣸⡇⠀⢈⣴⣾⣿⣿⠿⢛⣿⡇⠈⣴⣤⣤⣶⣶⣯⣤⣾⣧⠀⠀⠀⣴⣿⠃⠀⠀⠀⢀⣿⣿⣿⣶⣿⣿⡟⢩⡟⠀⠀ ⠀⠀⣄⣀⢀⣿⣏⠙⠁⢀⣿⣿⣿⣿⣡⢠⣿⠇⢣⣸⠟⣟⠻⠿⣏⣹⣿⣭⡈⣧⣠⣾⣯⠈⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⠁⠀⠁⠀⠀ ⠀⠀⠸⢿⣾⢻⣿⣷⠶⠋⠀⣿⠋⡟⢸⣼⣿⡀⢸⡏⢠⡈⠲⠦⠬⢭⣿⣿⡿⢸⡏⠙⠻⠠⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣀⡄⠀⠀⠀ ⠀⠀⢸⣧⣿⣸⠟⠁⠀⠀⢀⡏⢸⠃⣸⣏⣿⣷⣸⣇⠈⠻⠶⣶⣶⣿⡿⣻⣡⣿⠃⠘⡀⠀⠀⣸⣿⣿⣾⣿⣿⣿⣽⣿⣧⣿⣇⠀⠀⠀ ⢰⠀⣾⣿⣿⠋⠀⠀⠀⠀⢸⡇⣴⣴⠏⢿⡿⣇⢻⣿⣦⡀⠀⠀⣀⣀⣴⣿⣿⣿⣶⡶⣛⣤⣾⣿⣿⠟⣹⣿⢷⣿⢻⣟⣿⣿⣿⡀⠀⠀ ⡜⢀⣈⡟⠁⠀⠀⠀⠀⠀⢸⣿⢻⡟⠂⣼⣿⣿⡄⠙⢯⡛⢿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢉⣴⣿⣿⡟⠛⣾⣿⣿⣿⣿⣇⠀⠀ ⣧⣿⠋⠀⠀⠀⠀⠀⠀⠀⢸⣏⡾⣇⣼⣿⣿⣿⣿⣆⠀⠉⠂⠻⡿⠿⢿⣿⣻⣿⣿⠿⠛⠉⠀⣠⣾⣿⣿⣿⣧⣤⣿⣿⣿⣿⣿⣿⡄⠀ ⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣸⣏⢧⣿⣿⣿⣿⣿⣿⣿⣽⣦⣄⠀⠀⠀⠀⠀⠉⠀⠀⣀⣤⣶⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀ ⠁⠀⢀⡀⠀⠀⠀⢀⣤⣾⣿⣁⡾⣿⣿⣿⡏⢹⣿⣿⣿⣾⣿⣷⣀⣀⣤⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧ ⠀⠀⠀⣙⣲⣤⣿⣯⣽⣿⣿⣟⣴⠿⠿⢿⣿⣿⣿⣿⢿⣿⣿⣿⣿⠻⣿⡟⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠈⢙⣿⣿⣿⡿⣿⣿⣶⠾⣰⣦⣽⣿⣿⣿⣿⣿⡿⠁⠁⠀⠘⢿⡄⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠻⣿⡿⠀⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠹⣷⢰⣿⣿⣿⣿⡿⠿⠛⠛⠛⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇⡟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠈⠉⠛⠛⠻⠿⣿⣿⣿⣿⡿⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⠤⠴⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⡇⡇⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠒⠲⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⡀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠔⠀⠱⡄⠀⠀⠀⣠⡴⠖⠉⠁⠀⠀⠀⠀⠀⠈⠑⠦⣀⠀⠀⠀⠀⢀⣾⡉⠲⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠫⠞⠀⠀⠙⣄⡠⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⣄⠀⢠⠞⠘⣧⡀⢸⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠦⢤⣀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠁⠀⠀⠏⣱⠞⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢧⠀⠀⠀⠀⠀⣀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡄⠀⣸⠀⠀⠀⡴⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠁⠀⠀⠀⢀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠏⠁⡏⠀⠀⣸⣤⡶⣦⣄⡀⠀⠀⠀⠀⢠⣤⡀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠻⡷⠆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡐⣶⠟⣽⣿⣿⣿⡷⠂⠀⠀⠀⠈⢈⠛⠓⠶⠆⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣼⣄⠀⠀⠀⠀⠀⠀⠀⢸⠀⢹⡏⠀⣿⣿⣿⣿⡇⠀⢀⠀⠀⢸⡾⠟⠻⠷⣦⣤⠀⡀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢹⠏⠁⠀⠀⠀⠀⠀⠀⣸⠀⣸⡇⠀⣟⠙⠃⢸⠃⠀⣾⣇⠀⠈⠀⠀⠀⠀⠀⠉⠉⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀⠙⢻⡄⠘⠷⡴⠟⠀⡶⣯⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⢁⠀⠀⠀⠀⠀⠙⠾⠇⠀⢀⡀⠀⠀⠤⠠⠀⠀⠀⠀⢸⡄⢀⣀⣤⡀⠀⠀⠀⠀ ⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠙⢶⣤⣤⣄⣶⣾⡁⠀⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠻⠟⠉⠀⠀⠀⠀ ⠀⠀⢻⡟⠀⠀⠀⠀⢀⡤⠚⠁⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⣸⠗⢆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⠟⠀⠀⠀⠀⠙⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠹⠿⠃⠀⠀⠀⠀⠀⠀⠀⣠⠚⠁⠀⠀⠹⣤⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⠛⠁⠀⠀⠂⠀⠀⠀⠙⠋⠟⢦⣀⢀⣀⠀⠀⠀⠒⠂⠀⠀⣀⣠⣤⣶⠶⠋⠁⠀⠀⠀⠀⠀⠌⢦⠀⠀⠀⠀⠀ ⠀⠀⠀⣴⡿⠁⠀⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⡋⠉⠛⠽⠛⠋⠉⠛⣿⠉⠁⠀⠀⠀⠀⠄⠀⣸⠀⠀⠀⠀⠹⣄⠀⠀⠀ ⠀⠀⣼⠋⠁⠀⠀⠀⢰⡆⠀⠀⠀⢳⡀⠀⠀⢀⣼⠃⠀⠀⠀⠀⠀⣀⡀⠀⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠘⣷⡀⠀ ⠀⡼⠁⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠑⠀⢰⣿⡁⠀⠀⠀⠀⠀⠀⠸⠻⠄⢀⣹⣄⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠈⢣⡀ ⡼⠅⠀⠀⠀⠀⠀⠀⠀⠀⠢⠀⠀⠀⠀⠀⣾⠍⣛⣶⢤⣤⣀⣀⣠⣤⣴⠾⠟⠛⢹⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁
⠙⠉⠉⠉⠉⠉⠉⠉⠉⠉⢁⠈⠉⠹⠉⠉⠋⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠉⠁⠀ ⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢉⠠⠔⠒⠈⠉⠉⠉⠉⠰⠒⠤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⣇⠀⠀⠀⠀⣀⠔⢊⠀⠀⣀⠀⢀⡀⢠⣀⣠⡀⠀⠐⠀⠱⢊⠁⠀⠀⠀⠀ ⣧⠀⠈⢦⣄⠔⠺⠷⢿⣿⣿⡿⠿⠿⢻⣿⣿⡿⠣⣱⠑⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢳⠀⠀⠛⡈⡀⠀⠀⠀⢀⠀⠀⠛⠉⠉⠛⠁⠀⣿⣞⡢⡀⠀⠀⠀⠀⠀⠀⠀ ⣇⠼⠀⠀⠀⠀⠈⠙⢿⡿⠿⣟⣶⠀⠀⠀⠀⠀⡎⠀⢪⡙⣿⠳⣤⣀⠀⠀⠀⠀ ⠃⠀⠀⠀⠀⠀⠀⠀⠀⠠⠍⠉⠉⠀⠀⠀⠀⠼⣧⣄⣄⣙⡢⣑⢎⡘⢧⠀⢼⠀ ⠀⠀⠀⠀⠀⢀⠀⠀⣼⣤⣀⠀⠀⠀⠀⠀⠀⠀⠘⡏⠣⢼⣿⣮⣁⠋⠛⢿⣜⡇ ⠀⠀⠀⠐⠉⠀⠀⠀⠉⠙⠿⣷⡢⢤⣀⡀⢀⣀⠴⠈⠢⡈⠀⠛⠉⠓⠤⣼⠈⢣ ⠀⠀⠠⣶⣄⣀⠀⠀⠀⠀⠀⠈⠙⠷⣄⣠⣷⣶⣶⡮⢲⡇⠀⠀⠀⠀⠀⠀⠑⠈ ⠀⠀⠀⠀⠙⠿⣿⣶⡄⡀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠓⠺⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠫⣹⡿⣵⣢⡄⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠦⣟⠛⠛⣿⡒⢒⣟⡓⠶⢦⣤⡆⢠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠈⠉⠉⠉⠙⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼
⠀⣿⣷⣾⠛⣿⣿⣷⣾⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⡿⠀⠀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠰⣿⣿⣿⠀⠀⢸⣿⣧⠈⠀⠀⣠⣄⠀⠀⠀⣼⠟⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⣠⣶⣶⡛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢹⣿⢿⠀⢠⣾⡿⠁⠀⠀⣼⣿⣿⣷⣜⣾⣿⠆⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣤⣀⣀⣠⡾⢹⣿⣏⠙⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤ ⠀⣿⣿⣾⡆⢼⣿⠃⠀⢀⣤⣟⠻⣿⣿⣿⣿⣅⠀⠰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠟⠉⣠⣾⣿⡿⢀⡿⠛⠛⣻⣿⣿⣿⣟⣛⣻⣿⣿⣿ ⠀⠙⣿⣿⡇⣸⡏⠀⠀⠈⠛⠻⡟⠋⢩⡿⠟⠻⣟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠟⠉⠉⠛⠛⠉⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉ ⠀⠀⣿⢻⣷⣿⡀⠀⢀⣀⠀⢰⣇⣠⡿⠧⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⢸⣿⠏⡁⠀⠺⠿⢤⣾⡇⠉⠁⠀⠀⠀⠀⡇⢀⠾⠛⠻⢷⣦⣄⠀⠀⠀⠀⠀⢀⣴⣾⠿⠿⠿⠷⠶⠀⠀⠀⠀⠀⢹⡏⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢉⣿⠃⢸⣿⠐⣆⡀⠀⠀⢠⡟⠀⠀⠀⠀⠁⠂⣰⠁⢸⣀⡀⢀⣲⠾⣿⣷⣤⡄⠀⣠⣿⣿⡷⠶⠶⣤⡄⣀⣠⠄⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠰⣿⠀⢸⣿⡇⠠⡉⠁⠰⣾⡷⠀⠀⠀⠀⠀⠀⡏⠀⠈⠻⣿⣯⡜⣿⣿⡿⠋⠀⠺⠿⠿⣿⣍⠻⣽⣿⣿⡿⠃⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢧⡀⠀⠀⠀⠿⠶⣶⡇⠀⠀⠈⠀⠒⠀⠀⠀⠀⠀⠀⠀⠉⠉⢩⡁⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⡀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⢷⡀⠀⠀⠈⠛⣿⠁⠀⠀⠀⠀⠀⠀⠠⡀⠀⠀⠀⠀⠀⢠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡀⢻⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⣠⣤ ⠀⠀⠀⠀⠻⡄⠀⠀⠀⡿⠀⠀⠀⠀⠓⠂⠀⠀⣇⠀⢀⣠⣴⡶⠿⠷⣦⠀⠀⠀⠀⠀⢀⣤⣶⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣧⠸⣿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡴⠀⠀⠀⠀⠹⣄⠀⠰⢁⣀⡀⠀⠀⡄⠀⠀⠀⣻⠀⢿⡟⠁⠀⠀⠀⠉⠳⣤⣤⣤⣴⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡄⠹⣆⠀⠀⠀⠀⣿⣿⣿⡟⠙⠙⠛⢻⣿⣿ ⠇⠀⠀⠀⠀⠀⠹⣦⠀⠀⠀⠉⠓⢤⠀⠀⠀⢀⡏⡇⠘⡇⠀⣿⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⠖⣿⡇⡄⠀⠀⠀⢠⣿⣿⣿⣿⠀⢿⡟⠛⠛⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠋⢳⡀⠘⠀⠀⠀⢱⣤⣀⣼⠀⠘⡄⢳⡀⠻⣷⡎⠹⣶⣦⣤⣤⣤⣶⣿⣿⡏⢹⣾⠏⣼⠇⠀⠀⣠⣿⣿⣿⣿⣿⣗⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⠀⢀⣸⣿⣿⡟⠀⠀⠙⣆⠹⣄⠙⣷⣦⡈⢹⠋⠻⠋⣻⠉⣀⣿⠟⢁⡾⠋⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠉⢻⣿⣃⣀⣀⠀⠈⢳⣼⣦⣀⠉⠛⠛⠷⠾⠷⠟⠛⠋⣁⣴⣿⡷⠂⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⣼⡿⠁⠀⠈⠉⠉⠉⠙⢿⣟⠛⠶⠶⢤⣤⣤⣶⣶⣿⣿⠿⠿⣣⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣤⣀⣀⣀⡀⠀⠀⣀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣧⡉⠻⠣⠀⣿⣿⣿⣿⣿⡏⡜⣧⣼⣿⣉⠀⣰⣿⣿⣿⣷⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡄⠀⠀⣸⣿⠟⢿⡄⢠⡸⠟⠉⠁⠈⠉⠛⣿⣷⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⡤⢮⡛⡞⠁⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣏ ⢿⣿⣿⢿⡏⠀⠀⣴⠟⠉⠉⢩⠓⠑⠤⡀⠀⠀⠀⠀⢠⣿⣟⣛⣍⣛⣽⠿⢿⠏ ⠀⣿⠛⡟⠀⢀⠎⠀⣠⣴⣶⠇⠘⠽⠷⢀⡄⣴⡶⠶⣼⢻⡿⢀⢼⣿⣷⣶⣾⣿ ⠀⠀⠺⣾⠀⠷⡄⠐⣿⣿⣿⠃⡠⠂⠀⢸⣋⠉⠽⠷⣿⠞⢱⣿⣿⠝⣿⣻⡿⠃ ⠀⠀⠀⣿⠼⠀⣴⣾⡿⢋⡿⡀⣶⣲⠶⢷⡾⢆⢀⡴⠇⠀⢀⣼⣿⣾⣿⠋⠇⠀ ⠀⢹⢷⣿⡶⠚⢹⢿⠻⣸⡇⡿⢈⠒⠬⣽⣿⢺⡏⠛⠀⢀⣾⣿⣿⣿⣿⣠⠀⠀ ⠄⢼⣿⠏⠀⠀⢸⢨⡆⣿⡟⣵⣀⠉⢛⣛⣾⣿⣤⣄⣠⣾⡿⣿⢿⢿⣿⣿⡀⠀ ⣤⡤⠁⠀⠀⠀⢸⣿⢉⣾⣿⡌⠫⠻⡿⣿⣿⢿⣿⡿⠟⢋⣾⣿⡏⣿⣿⣿⣧⠀ ⠟⠀⠀⠀⠀⢀⣼⢯⣿⣿⣿⣿⡶⣄⠀⠀⠉⠉⢁⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⡆ ⠀⠐⣤⣠⣔⣯⣷⣫⠿⣿⣼⣿⣿⣿⣷⢶⡿⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯ ⠀⠀⠀⢙⣿⡟⣿⣗⣷⣶⣿⣿⣿⡏⠀⠀⠛⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠸⡦⣿⡿⠿⠛⠛⠛⠛⠁⠀⠀⠀⠀⠈⠿⢿⡿⣿⣿⣿⣿⣿⣿⣿⠛ ⠀⠀⠀⠀⠀⢵⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠹⣿⣿⡇⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡾⣇⠿⠷⠦⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⠊⠁⠐⠈⢀⣀⠀⠈⠆⢹⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡾⠰⢛⡠⣕⣀⣵⡆⡵⣴⠀⡀⠆⠡⡑⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣇⢁⠎⣀⠀⠀⠀⠀⣀⣱⡆⢠⠀⢀⢨⠬⡄⠀⠀⠀⠀⠀ ⠀⠀⠸⡏⠘⣭⣶⡅⡀⠀⠈⣴⣦⣙⡄⠣⠸⣵⢴⢱⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⡸⠁⠉⡩⠇⢀⠁⠁⠉⠁⠈⢇⠂⠀⡵⠎⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠻⢄⠴⢈⣉⣉⡠⠌⠄⠀⠀⣼⣗⢢⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠐⢌⠒⠊⠁⢀⡠⠐⠈⠸⣧⣝⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠀⠀⠀⣱⠒⠈⠁⠀⠀⠀⢀⣷⢼⡠⢄⣀⡀⠀⠀⠀ ⠀⡠⡰⠊⠁⠼⢭⢿⡁⠀⠠⠂⠀⣀⡴⢋⣚⢪⠮⠓⠀⠀⠑⢄⠀ ⠚⠎⠀⠀⠀⠋⠃⠈⠉⠁⠐⠀⠋⠁⠀⠀⠉⠁⠀⠀⠀⠀⠀⠈⠂
⠀⣀⠀⠀⠀⢀⡴⠊⠉⠉⠙⠲⣄⠀⠀⠀⢀⠀ ⣼⣹⠳⣀⢠⣿⠿⢶⣜⠒⢺⣤⠿⣧⢀⡼⢧⣳ ⠈⠉⠑⢮⠉⢠⣶⣼⣽⠀⣯⣤⡶⡌⢹⠊⠉⠁ ⠀⠀⠀⡜⠀⠉⢛⣯⡘⠉⠛⣻⡛⠋⠘⡄⠀⠀ ⠀⠀⠀⡇⢀⢶⠊⠛⡑⠒⡖⠙⠓⢤⠀⡇⠀⠀ ⠀⠀⠀⡇⠈⠀⠙⠒⠣⢤⡧⠴⠒⠃⠁⡅⠀⠀ ⠀⠀⠀⠳⡀⠀⠀⢀⣀⣀⣀⠀⠀⠀⣠⠃⠀⠀ ⠀⠀⠀⠀⠈⠦⣀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⢶⡏⢹⡲⠦⢶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣯⣾⣸⡇⢨⣭⣤⡿⠿⠿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠖⣛⣉⡉⠉⠉⠭⠻⠛⠉⠁⠀⠀⠀⠀⠈⠐⠈⠙⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠟⢁⡈⢠⣤⣈⠱⣄⠀⠠⢖⠚⢻⣶⣦⣀⠀⠀⢀⠀⠀⠘⣧⠙⢷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠗⡽⠃⠀⠒⣻⡿⠛⠚⠧⠐⠓⠛⠛⠛⠛⠛⢷⡄⣸⡀⢠⠀⠹⠀⠀⠉⠙⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⢰⠃⠀⢀⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡇⢸⠀⠀⠀⠀⠢⣀⠈⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡤⢤⣿⣿⠸⠀⢠⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠀⢸⠀⠀⠀⢀⣀⣀⣀⡀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢷⣏⠂⡏⠀⠀⣾⠟⠋⣙⣛⠂⠀⠀⠀⠀⠶⠶⣶⣒⡲⠦⠸⣿⠀⢸⡀⠀⠘⣏⣖⠋⠀⠈⡆⢿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⡇⠀⢀⣸⡶⡞⢏⣿⣆⢢⠀⠀⠀⠀⣨⢲⡳⣶⣦⣄⣿⡆⠈⢇⠀⠀⢌⠻⡿⠷⣚⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⡄⣸⠏⠀⠈⠈⠉⣩⠔⠀⠠⠄⠁⠈⠒⠉⠑⠋⠁⠈⠙⢦⡀⠀⠳⣄⡀⠀⠀⠀⠀⢨⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⣇⣿⠀⠀⠀⠀⠘⠥⣀⣀⣀⣄⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣅⠊⢼⡉⠠⣀⠐⢦⣸⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⡀⠀⠈⢠⡄⠀⠀⠀⠀⠀⠀⠀⡈⠲⡄⠀⠀⠀⠀⠀⠀⠹⣗⠊⢹⡀⡈⠀⣸⠏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⡄⠀⠀⢉⠻⢕⣒⣒⣶⠶⡞⠉⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣁⢹⠀⣿⣶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⡀⠀⠙⠢⠤⠤⠒⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⢻⡆⣟⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠒⠉⠀⠀⢸⡟⢹⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢦⣤⣤⣤⣤⡤⠴⠶⠏⠁⡀⠀⠀⠀⠀⠀⠀⢿⡋⠉⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠁⠀⠀⠀⠀⢀⠴⠊⠀⠀⠀⠀⠀⠀⠀⣈⣷⣬⣻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣠⣤⣴⣶⣒⣒⣦⠀⠀⣀⣀⣀⣀⣤⡾⠁⠀⠀⠀⡠⠖⠁⠀⠀⠀⠀⠀⢀⡠⣴⡾⢟⡯⢟⡻⠿⢛⣻⠽⣿⣢⣄⣀⠀⠀⠀ ⠀⣠⠖⣋⡽⠞⠛⠉⠀⠀⠀⡼⣻⣏⠉⡽⣿⡽⠁⠀⠀⠀⠐⠋⠀⠀⠀⠀⠀⢀⡤⣖⡽⠚⣡⠴⣿⠞⣩⠖⠋⢁⣀⠤⠴⠚⠋⠉⠙⢦⡀ ⢸⢁⡞⠁⠀⠀⠀⠀⠀⠀⠜⣰⠃⢉⡞⠁⢻⢧⠀⠀⠀⠀⠀⠀⠀⣀⡤⢔⣪⠵⠚⠁⢀⣼⣁⡞⠁⡼⢁⡴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉ ⠙⣾⠀⠀⠀⠀⠀⠀⠀⢀⡼⠙⢣⠎⠀⠀⠈⠪⣿⠓⣲⠶⢖⣒⡯⠵⠚⠉⠀⠀⠀⣴⠋⣨⡟⢀⡾⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠷⣰⠏⠀⠀⠀⠀⠀⠈⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⢀⡾⢷⣴⡿⠀⡾⣱⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⢏⡄⢠⣏⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣟⢀⡾⢹⠇⢸⣱⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠿⠤⠤⠶⠶⠶⠾⣧⡉⠳⣤⠴⢶⡤⢤⣤⣀⣀⣀⣠⡾⠋⠉⡾⠁⢸⠀⠈⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡤⠶⠾⠥⢤⣄⣾⣋⣀⠀⠰⢀⣼⠃⠀⠸⣄⠀⠀⠈⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠈⠙⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
☁️ ☀️ ☁️ ☁️ ☁️ ✈️ ☁️ --🌲🌲-------🌲--🌲- / | \ / |🚔 \ / 🚔 | 🚔 \ / | \ / |🚘 \ 𝐓𝐇𝐄𝐘 𝐒𝐄𝐄 𝐌𝐄 𝐑𝐎𝐋𝐋𝐈𝐍 𝐓𝐇𝐄𝐘 𝐇𝐀𝐓𝐈𝐍
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣶⣴ ⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⠖⠛⠉⣉⡙⠛⠒⠢⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⣄⠀⠀⣠⣿⣿⡿ ⠀⠀⣠⣾⣿⣧⠀⠀⠀⠀⠀⠀⢀⣴⡿⠥⠤⠶⠚⠛⢿⣍⡉⠀⠀⠀⠈⠑⢄⠀⠀⠀⠀⠀⠀⠀⢀⡀⠈⡿⢄⣴⡏⢉⡿⠁ ⠀⠀⠻⢿⣿⣿⣇⠀⠀⠀⠀⣰⣿⣿⣷⣶⣦⣤⣤⣤⣤⣯⣽⣶⣦⣤⣤⣴⣶⣷⡄⠀⠀⠀⠀⢠⣿⣿⣶⣧⢀⠏⢡⠞⠀⠀ ⠀⠀⠀⠀⠈⠙⠻⣷⣄⣀⣴⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣇⣽⣿⣯⣿⣿⣿⣿⣭⡝⣆⠀⠀⣠⣾⣿⠿⠛⢻⣾⡔⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣿⣻⣿⣿⣿⣿⣻⣿⣿⣿⣿⣧⡴⠿⠿⢿⣿⣿⣿⣿⣿⢿⣿⣾⠳⣶⡟⠉⠀⠀⠀⠘⣿⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡿⠋⠀⠈⠙⠛⠛⢻⡟⢉⣩⠿⠶⠶⡦⠀⠉⠙⠻⣿⠿⠯⠀⠈⠀⢻⠀⠀⠀⠀⠀⠀⠸⣿⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⢀⣴⣿⣷⣾⣅⣀⠀⠀⢻⣯⡀⢀⣀⣹⣦⣄⠀⠀⠀⠘⠇⠀⠀⠀⠀⠀⠀⠹⣟⣆⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⢀⣤⣶⠿⠋⠉⠙⠛⠿⣿⣿⣿⣿⣿⡿⠟⠛⠻⣿⣿⣿⣦⣄⠀⠸⡀⠀⢀⡠⠶⠒⢉⣹⠿⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⡿⢋⣀⠀⠀⠀⠀⠀⢀⡀⠒⠋⠈⠻⡇⠀⠀⠀⠈⠙⣿⣿⣿⣷⡄⢹⢋⣁⡤⠔⠚⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣾⣿⡇⠀⠀⠀⠘⢿⣿⣿⣿⣿⡷⢾⣷⣤⣤⣤⣤⣵⣶⣶⣶⣶⣶⣿⡇⢹⠟⠀⢘⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣞⣯⠞⢻⡇⠀⠀⠀⠀⠈⠛⢿⣿⣿⣦⣾⣅⣰⣿⣈⣁⣽⣥⣼⣽⣿⡿⠃⠀⠘⠀⠀⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡏⡽⠁⠀⠈⢿⣤⠀⠀⠀⠀⠀⠀⠩⣽⣿⡽⠯⠭⠭⠿⠟⠿⡿⠟⠋⠁⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⢁⠇⠀⠀⠀⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠛⠛⠛⠛⠿⣇⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡾⢸⠀⠀⠀⠀⠀⠀⢻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣙⣓⡄⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣧⡇⠀⠀⠀⠀⠀⠀⠀⣿⡟⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣘⠉⠉⠀⠀⠀⢀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⡇⣷⠀⠀⠀⠀⠀⠀⠀⡟⠀⡞⠈⠓⠶⣤⣀⡀⠀⠀⠀⠀⠀⠈⢻⣧⣀⣠⠔⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⢀⣿⡧⠀⠀⠀⠀⠀⢸⠁⡼⠀⠀⠀⠀⠀⠈⠉⠛⠛⠛⠛⠛⠛⢿⠿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣼⢹⣧⠀⠀⠀⠀⠀⣿⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠹⣿⡈⠛⠂⠀⠀⠀⠀⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣽⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⠄⠀⠀⠀⠀⠀⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⣹⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣀⣀⣀⣀⣠⣿⠿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢼⣿⣽⣇⣸⡏⣁⢀⣤⡿⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠃⠐⠓⠤⣄⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠉⠙⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠲⠦⠤⢤⣄⣉⣀⣿⣻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⢀⣀⣠⣠⣤⣤⣴⣾⣵⣬⣯⠇⠀⠀⠀⠀⠓⣹⢾⣻⣽⣿⣿⣿⣿⢿⣳⡿⣟⣯⡿⣟⡿⣽⢳⠫⣿⣿⣟⠾⢑⣉⣈⣠⣴⣾⣿⣿⣿⣻⣿⣛⢻⣶⠄⢳⠛⣿⣿⡿⣿⢿⡿⣿⣿⣿⣿⣿⡿⣟⣿⣿⣟⣾⢯⡿⣭⢳⣝ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⡯⢿⣿⣿⣿⣿⣿⣿⣿⡿⢋⡤⠴⡒⢣⡐⣀⣇⡯⣿⣽⢿⣟⣿⣻⢿⣯⣟⣯⢷⡻⣝⢞⣡⢟⣼⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⣿⣟⣷⣯⣿⣿⣿⣿⣼⡀⠠⡷⣿⣝⢣⢏⠷⣯⢷⣻⣽⣻⣟⡿⣿⣾⢿⣽⢯⡳⢬⢳⡜ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⡀⢃⢏⡛⢿⣿⣿⣿⣿⡟⣡⣴⣺⣷⡽⣳⢿⣻⣼⣟⡷⣯⣟⢮⠷⣯⣟⠾⣽⢊⠶⣱⢊⡼⣣⣿⣿⣟⣟⣿⣻⢿⣿⣿⣿⣿⡿⣿⣻⣿⢿⣿⣿⣿⣿⣻⡕⠀⣟⣸⡧⢩⢎⡳⢭⠞⡵⢣⡓⢮⡟⣷⢿⣻⢯⡯⣝⡣⣇⢞ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣟⣿⣿⣾⣿⣿⣿⣿⣿⣿⣳⢾⡹⠶⣭⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢫⣿⣸⡾⣿⣞⢿⣿⣻⢏⣳⣿⣿⣿⣞⣯⡽⣻⡟⣿⠻⣵⣏⠜⢮⣛⡴⢫⡝⠒⠋⠄⣁⣿⣾⣿⣟⣷⡹⡞⢦⡏⡟⢶⣻⣸⣿⣽⣳⢯⣿⢿⡷⣿⣿⣿⣹⡄⠠⣯⢨⡗⢧⠪⣕⢫⢞⡡⢣⠜⣣⢿⣹⣟⣯⠿⣵⢫⡗⣞⡼ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣳⢯⣟⡾⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣏⡿⣱⢎⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣧⣬⣛⡿⣽⣞⢻⢯⢿⡟⣿⣞⣿⣿⡝⣿⣹⢯⡛⣥⢾⣫⣧⣿⢖⢯⣼⢼⣾⣿⣿⢿⣟⣾⡞⣷⢯⡷⣞⡽⢲⣷⢯⠟⣱⣿⣿⣷⣿⡟⣿⣿⣿⣿⣗⠀⢻⠂⡍⢆⡻⣌⠗⡮⠱⣌⠚⡴⣛⡾⣹⠞⣯⣝⣣⠟⣬⢳ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣯⣿⣟⡿⢾⣽⣻⣷⣿⣿⣿⣿⣿⣿⢿⣷⡿⣿⣽⣻⢾⣻⣿⣿⣿⣿⣿⣿⣿⣷⣿⣟⣿⣿⣿⣿⣿⣿⣿⣯⣟⠛⢻⡓⣚⣻⠝⠛⣛⡙⣭⠶⣿⣿⣿⣿⣿⣟⣮⣿⣹⡸⣿⡿⢿⠞⣿⣾⡽⣿⣿⣽⣿⣭⣿⣏⣼⣿⣫⣿⣿⢿⣺⢯⣿⣿⣿⣟⣼⠀⢸⠷⠾⣬⣳⢭⡻⣜⣳⢬⡻⣵⢻⡼⢧⣛⢶⣚⣬⢛⡼⢯ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣳⡿⣽⣻⢾⡵⣿⣻⣿⣿⣿⣟⣯⢿⣞⡿⣿⣽⡻⣯⢷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡶⣶⢶⣾⣿⣿⣿⡧⣿⣳⣿⣿⣿⣿⣽⣿⢣⢊⣽⣽⣾⣿⣿⣿⣟⣿⢿⣿⡿⠿⣿⣯⣿⣿⣽⣿⣿⡾⣟⣾⢽⣿⣿⣿⣿⣇⡽⣟⠋⠙⠺⣿⢮⡽⣯⢷⣯⢷⣯⢿⡽⣯⣽⢮⡷⣞⣯⣞⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣾⣷⢿⣻⣿⣽⣯⣿⣿⣿⣿⣿⢿⡾⣭⢟⡾⣽⢳⡭⢷⡹⢮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⣾⣽⣿⠿⠃⠱⣶⣿⣿⣿⣿⢿⣱⣋⣿⣿⣿⣷⣾⣯⣛⢿⣿⣽⣟⣿⣿⣴⣿⣿⣿⣿⣿⣿⣿⣟⣿⣼⣿⣿⠿⣻⣯⣷⣄⡘⠂⠆⠈⢿⡽⣽⡿⣾⣟⣾⢯⣟⣾⣽⣻⣽⣿⣾⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣟⣧⣻⠾⣵⣫⡜⣡⡙⢾⣼⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⠋⠀⠀⠀⢐⣻⣷⠿⣽⣽⣿⣽⣽⣿⣿⢿⠿⣇⢓⢉⠛⠾⢽⣻⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣳⣾⣿⣿⣿⣿⣯⣇⢀⠀⡀⢿⡿⣽⣷⢯⣟⣿⣽⣿⣾⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣟⣧⣷⣛⣦⡝⣦⡳⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⡰⠁⠀⠘⣶⣿⣳⣾⣷⠿⣯⣿⢿⠷⡾⠛⢳⣍⡌⡉⣄⠀⢀⡻⣿⣿⣿⠿⣿⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠾⢸⣿⣿⣾⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣼⡹⢶⣹⡻⣼⣻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠁⡸⠁⠀⠀⠀⠈⠀⣰⣆⡾⠞⠉⣌⠳⢧⣳⡙⢎⣿⣽⣵⣬⡐⢤⠡⡘⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢫⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣵⣯⢿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣽⢯⣷⣛⡶⣏⢿⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⢀⡜⠁⠀⠀⡀⣠⢈⣿⠟⠉⠀⢀⠲⠤⣙⢖⡢⣝⣮⣶⣿⣿⣿⣻⣦⣔⠀⠁⠈⢿⣿⣯⣽⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡗⣺⣸⣿⣷⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⡾⣽⣻⣮⢏⣿⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⢡⡾⡟⠀⠀⠀⣰⣽⡷⠋⠀⠀⠀⡀⢢⣈⠧⣝⡾⣽⣿⣿⣿⣿⣿⣿⢿⣿⣿⣷⣦⣀⠀⠈⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢿⡽⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⡷⣯⢿⡾⡽⢯⣟⡿⣿⣿⣿⣿⣿⠟⠛⠉⣠⣾⣫⠟⣹⠀⠀⣠⣿⠟⠁⠀⠀⡡⢂⡱⢖⣮⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣾⣿⣿⣾⣦⣔⡀⠈⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢥⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣻⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⠃⣀⣿⣿⡿⡿⣭⠿⣽⣷⣾⣿⢿⣿⠿⣜⠡⠀⡿⠀⠓⢦⡀⢧⣔⣀⣎⣬⣣⢥⠶⣋⣡⢯⠃⡤⠗⢿⣹⡽⠛⠉⠁⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣾⡯⢷⣿⣿⣿⣿⣷⣤⡉⠋⢉⢻⣿⣿⡿⠟⢯⢃⡜⣤⢳⣬⣷⣻⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⠹⣿⣿⣷⣿⡱⢏⠿⡌⢛⠿⠷⣾⢩⠓⠄⠐⢸⡇⠀⠀⠠⠀⠉⢳⠚⣉⣉⠴⠂⠈⣯⠗⣇⣸⡴⠃⠠⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣽⣻⣿⣿⠻⢯⣛⣏⣩⣻⡿⢯⣑⢯⣲⣟⣾⣿⣻⢿⣿⣿⡿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣯⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣽⣿⣿⣷⡝⣎⠲⡁⠎⡈⠅⢀⠀⢀⠀⠀⠀⠑⣦⠆⠀⡰⠞⣁⠈⣸⢃⠠⠼⡿⢀⣠⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⢾⣙⠷⣶⣭⣙⠳⣯⢹⢧⣻⣾⣷⢿⣿⣿⣿⣿⣿⢯⣝⡳⣿⣳⣯ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⠿⣼⣉⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣸⣿⡸⡈⠇⡠⠀⠀⡀⢀⠈⣀⠀⡀⠀⠀⠹⣄⣸⡀⠀⠁⢉⣧⣏⣠⠼⣿⢿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡼⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡹⣜⠹⣿⣄⠉⠿⢧⣿⣏⣿⣿⠹⣤⣿⣿⣿⣿⡿⣸⢏⡼⡡⢇⡧⡌ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⣖⢯⣛⠶⣭⣻⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣗⡳⡙⢆⠡⡈⠐⡄⢣⠜⣰⠲⣄⢂⣄⠲⣜⣝⣻⡄⠰⣍⠈⢉⣸⡄⡶⠃⠀⠀⠀⠀⠀⠀⠀⠀⣠⠄⠒⠁⢠⢎⡜⠤⠍⠉⢀⠀⠀⠀⠙⣿⡟⠁⠠⢞⢷⡛⣬⠳⠌⣛⣻⣿⣿⢿⠿⣽⣿⣿⣿⣿⣿⡿⢛⡱⡍⠮⢡⢁⠃⡌⢑ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣷⣻⡽⣮⣟⣿⣷⣻⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠼⡱⣉⠆⡱⢌⠳⣸⢱⠺⣥⠳⣜⢪⣜⣻⡾⣾⣽⣿⣄⠈⠳⣄⡀⠛⠁⠀⠀⠀⠀⠀⠀⠀⠠⠀⠁⠀⠀⣠⠿⢉⣤⠔⠂⠀⠀⠠⣄⠘⢄⠁⢹⣆⣼⣾⣶⣩⠄⡙⣦⣿⣿⡿⡟⣎⢝⡹⣿⢻⠹⣌⠡⠜⡠⢃⡉⠇⢄⢂⠐⢄⣊ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣷⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣛⠷⣋⠾⣹⣛⠶⣃⠗⣡⠒⢬⡑⣎⠳⣥⢋⡷⣍⡳⣬⠳⣎⣷⣻⣿⣿⣿⣿⣦⠀⠢⠟⠀⠀⡰⠁⠀⢀⣠⡎⠀⠀⢠⡀⣠⡾⢁⡴⠋⠀⣀⣖⣺⢼⣟⠒⣇⡀⢳⡀⣻⡿⠟⠋⠀⢈⣥⣿⡗⢢⣟⣹⠶⣎⡷⣡⢏⢓⢠⠙⡌⠅⠡⠘⠋⣈⠊⠜⣃⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⢿⣿⣿⣿⣟⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢯⡛⣎⠧⢣⠁⢊⠡⠌⠓⠦⢈⠤⢉⢢⡱⢊⡳⣌⠳⣎⠳⡵⢎⡿⣹⢷⣿⣿⣿⣿⣿⣿⣷⣤⡄⠀⠐⠁⠀⡔⠏⠸⢁⢘⣇⢞⠟⢁⣴⡿⠤⠼⠘⠂⣠⠾⣧⠐⠴⡌⠝⠢⡉⠈⢳⡄⠀⠲⠞⠿⠣⠼⠿⣧⠯⠽⠎⠷⠑⠊⢧⢫⣞⣤⡀⠦⡉⠒⠤⢀⠂⣀⡳ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⡿⣿⣯⣟⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⡞⣜⠱⢊⠐⠁⠠⠀⠐⠈⢠⠐⣄⠲⢌⠦⣑⠫⡔⡌⠳⢨⠹⣱⢫⡾⣽⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⡀⢀⣀⠀⢉⠀⣠⡇⢎⠵⢫⡴⠋⢁⣠⣴⣾⣷⡍⠠⢩⠀⠂⠀⢣⡖⠀⢸⣔⡇⠹⡄⡀⠀⠂⠀⠀⠉⠀⠠⠀⠀⠔⠊⠑⠚⣃⠈⣉⢃⡡⣤⣓⠒⢂⠒⢠⡹ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡛⢯⡻⣾⣽⢫⡷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡿⣌⢇⡈⠀⠀⠀⠀⠀⢀⠡⢘⠤⣋⠼⡸⢥⡓⡜⢬⢁⠃⠌⡒⢏⡷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⢁⣼⠓⠀⠀⠀⠀⢩⠁⠐⣫⣰⣶⣿⣿⠿⠟⣠⠄⠀⠀⢐⠀⡆⠈⠹⡄⠀⠹⣟⠐⢳⠀⠀⠀⡀⡤⢥⡰⢿⠹⠏⢯⢁⣏⢲⣑⣣⢳⣋⣵⣱⣮⣹⣦⣟⣷⣽ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡛⣮⡹⣷⣹⣷⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣞⠦⠑⠀⠀⠀⠀⠀⠀⠀⡜⡸⢥⣛⡵⣣⡝⣜⡲⢨⠰⠌⡑⣎⢿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡌⢉⠈⠀⠠⠀⠀⠐⠈⢺⣿⣿⣿⣿⠛⠋⡳⠊⠁⠀⢀⢈⠉⠉⠉⠢⢤⣇⣒⠀⠸⠀⠸⣖⠀⡌⢃⣓⡉⣖⢢⢶⢶⣦⣟⣾⣻⣿⣿⣿⣯⣿⣷⣿⣷⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣌⠻⣽⢯⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⣿⢟⡿⡿⡽⡞⠭⠑⠀⠀⠀⠀⠀⠀⠀⡌⠵⢣⢎⡵⣳⡝⣶⢩⡇⠦⣃⣽⡾⠷⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⡿⡿⠛⢀⠀⠀⠀⠀⠀⢀⣊⠀⠉⠂⠦⢄⣘⢻⡋⣧⣖⡤⠈⣿⢛⢉⣧⣿⣽⣯⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣷⡝⣷⣻⣿⣿⣿⣿⡽⣿⣿⣿⣿⣿⣿⣿⣻⢯⡏⣟⠚⡥⢫⢝⡳⢭⡙⠆⠑⠀⠀⠀⠀⠀⡀⠌⣐⠩⢎⡜⠳⣵⠺⣍⣷⡽⠖⠋⣀⣀⠀⠀⠀⠀⠈⠉⠛⠻⣛⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⡷⠏⠀⡧⠈⠉⠁⠁⠀⠐⠢⣈⡈⡼⠀⠀⠀⠀⣀⣴⣾⢿⣽⣙⣃⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⢿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣯⢳⢎⠳⠉⠼⠠⣍⡐⢣⠜⣰⠣⣜⡉⢂⡡⠂⠤⣀⡒⡘⡜⢢⢙⠢⡜⡹⣬⠿⠋⠁⠀⠒⠢⠤⣀⡉⠑⠦⡀⠀⣈⠒⢄⠀⠐⢄⢰⡀⠀⠀⠀⠀⢠⡿⠉⠁⠀⠀⠀⠀⠀⠂⠀⠐⠀⠈⢙⢉⣛⠒⣚⢛⣭⠽⠞⣋⣻⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠛⠛⢷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢷⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⡾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣆⠀⠀⠀ ⠀⠀⠀⣰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠀⠀ ⠀⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⣿⠀⠀ ⠀⢠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⠀ ⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠶⠿⢿⣶⡄⠀⠀⠀⠀⢀⣤⣤⣼⣿⠀ ⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⣉⣠⣤⡄⠀⠈⠛⠀⠀⢠⢼⠛⣿⣿⢿⣿⠀ ⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣛⠃⠀⠀⠀⠀⠸⡜⡆⠰⢿⡟⠀⢿⡇ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⢸⣷ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⣾⡏ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⣇⠀⠀⢐⣿⠃ ⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠚⠀⢀⠀⢸⡄⠀⣼⣿⠀ ⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⢾⣷⣶⡷⠞⠁⢀⣿⠇⠀ ⠘⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⣠⡿⠋⠀⠀⠀⢠⡿⠀⠀ ⠀⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡤⢭⣤⣤⣤⡴⠀⣾⡇⠀⠀ ⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⡿⠟⠉⠀⣼⡟⠀⠀⠀ ⠀⠀⢹⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡎⢿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⢠⣿⠟⠀⠀⠀⠀ ⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠈⠻⣿⣿⣿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠘⢿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣟⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣀⣀⣤⣤⣤⡿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⣿⣿⣿⣿⢿⠿⠿⠿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠏⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⠐⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠋⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠹⣿⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠙⢻⣿⣿⣿⣷⣶⣤⣤⣤⣤⣤⣠⣤⣤⣤⣤⣤⣤⣶⣾⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠒⠂⠢⡀⠀⠀⡎⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⣰⠀⡔⠉⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⠄⠔⢻⡎⠒⠐⠂⠒⠠⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡎⠀⠀⣤⡦⣄⢄⠀⠀⠀⢀⣔⡌⠥⡡⣫⢢⡀⠈⠄⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀ ⣀⠖⠋⠉⠉⠓⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣿⣆⠏⠁⠘⠋⣧⡁⢂⡐⡣⠂⢀⡀⠀⠀⠡⠊⡀⣥⠆⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀ ⣇⠀⠀⢀⡤⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠘⡳⠀⠀⣿⡇⠈⣥⣬⡆⠁⠀⢸⣳⠀⠀⠀⣃⣾⢓⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀ ⡋⢷⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⠀⠳⡀⠀⠀⠀⡠⠊⣝⠑⡀⠀⠀⠉⠀⠀⡐⢈⠍⠠⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀ ⠅⠀⢁⡏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⠀⠀⠫⣍⣉⠍⠆⠃⠈⢄⠈⠢⢀⡀⡠⠎⠂⠁⠀⠀⠂⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀ ⡃⢠⠋⢇⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⢘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠈⠈⠀⠀⠀⠀⠀⠀⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠚⠀⢸⣀⣀⣀⠀⡖⢻⡁⠀⠀⠑⠒⣄⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠃⠀⠀⠀⠀⢰⡒⠒⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⣇⠀⠀⠀⠁⠀⡈⠋⠁⠀⡽⠀⠀⠀⠀⠈⣏⠆⡀⠀⠀⠀⠲⠤⠤⠤⠤⠒⠒⠉⠁⠀⠀⠀⠀⠀⢀⡞⠅⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀ ⢟⢀⠤⣀⠎⠉⠀⠀⣇⠀⠁⢀⣠⠗⠒⠳⣕⡄⠈⠢⣀⠀⠀⠀⠀⠀⣀⡀⣀⡄⠤⠤⣄⡀⡄⠊⠁⠀⣡⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⠒⠢⠤⢄⣀⣀⣃⣱⣀⣀⠤⠤⠒⠊⢩⠑⠠⡀⠓⠛⠍⡉⠁⠁⠀⠀⠀⠀⣀⣔⠋⠁⠀⢀⡠⠒⡃⠀⠀⢸⠀⠀⠀⠐⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠀⠀⡃⠁⠢⣠⣾⣦⡄⠀⠀⠀⠀⢿⣽⡧⠒⠉⢹⠁⠀⠆⠀⠀⢸⠀⠀⠀⠀⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⡇⠀⠀⠀⠙⢃⣄⣀⣀⣀⣀⣀⣠⡄⠀⠀⢰⠀⡀⡇⠀⠀⢸⠀⠀⠀⠀⠀⠀:POV KEVIN THE MINION WENT TO THE GYM ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⣀⣀⠇⠀⠀⠀⠀⠀⡇⠀⡜⠇⡎⡇⠀⡇⠀⠀⢸⠀⠈⣧⡖⠒⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠙⡆⠀⠀⠀⠀⠀⠀⠀⣇⣴⠃⠼⠀⡣⠊⠀⠀⠀⠈⠋⠙⡟⡀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠦⣄⡀⠀⠀⠀⠀⠀⠀⢉⣉⡉⠀⠀⠀⠀⡔⠒⠒⠒⠊⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⡆⠀⠀⠀⠀⡏⠀⢹⡀⠀⠀⣐⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣀⣆⣀⡤⠇⠀⠀⢧⠤⢄⣸⡤⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠖⠒⠉⠁⠀⡜⠀⠀⠀⠘⡄⠀⠀⠉⠉⠒⢒⣲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠗⠒⠢⠤⠖⠋⠁⠀⠀⠀⠀⠧⣄⣀⣀⣀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠐⠶⣿⣿⡿⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⣿⣇⡀⠀⠀⠀⠀ ⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢿⣿⣿⡿⠟⠋⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⣿⣿⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⡤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣿⣿⣿⣿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣶⣿⣿⣆⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡿⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀
⁣⠀⠀⠀ (\/) ⠀⠀⠀ (•ㅅ•) Don’t talk to _ノヽ ノ\_ me or my son / / ⌒Y⌒ Y ヽ ever again. (  (三ヽ人  /  | | ノ⌒\  ̄ ̄ヽ ノ ヽ___>、__/ ⠀⠀ |( 王 ノ〈 ⠀ (\/) ⠀⠀/ミ`ー―彡\ ⠀(•ㅅ•) ⠀⠀/ ╰ ╯ \⠀⠀ / \>
not funny i didn't laugh. your joke is so bad i would have preferred the joke went over my head and you gave up re-telling me the joke. to be honest this is a horrid attempt at trying to get a laugh out of me. not a chuckle, not a hehe, not even a subtle burst of air out of my esophagus. science says before you laugh your brain preps your face muscles but i didn't even feel the slightest twitch. 0/10 this joke is so bad i cannot believe anyone legally allowed you to be creative at all. the amount of brain power you must have put into that joke has the potential to power every house on earth. get a personality and learn how to make jokes, read a book. i'm not saying this to be funny i genuinely mean it on how this is just bottom barrel embarrassment at comedy. you've single handedly killed humor and every comedic act on the planet. i'm so disappointed that society has failed as a whole in being able to teach you how to be funny. honestly if put in all my power and time to try and make your joke funny it would require einstein himself to build a device to strap me into so i can be connected to the energy of a billion stars to do it, and even then all that joke would get from people is a subtle scuff. you're lucky i still have the slightest of empathy for you after telling that joke otherwise i would have committed every war crime in the book just to prevent you from attempting any humor ever again. we should put that joke in text books so future generations can be wary of becoming such an absolute comedic failure. i'm disappointed, hurt, and outright offended that my precious time has been wasted in my brain understanding that joke. in the time that took i was planning on helping kids who have been orphaned, but because of that you've wasted my time explaining the obscene integrity of your terrible attempt at comedy. now those kids are suffering without meals and there's nobody to blame but you. i hope you're happy with what you have done and i truly hope you can move on and learn from this piss poor attempt 🫵😂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠖⠖⠤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⢿⣦⣀⣾⣓⣦⡀⣠⣞⡧⣤⡾⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠻⢿⡝⠉⠻⠯⠟⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡗⣶⡛⠓⠒⠒⠙⢦⡝⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⠇⠘⠃⠒⠀⠈⠁⠹⢄⡀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣧⣘⢦⣀⡀⠀⠀⠀⠀⠁⠀⠀⠉⠑⠂⢄⠀⠀⠀ ⠀⠀⠀⢀⡤⠒⠘⠉⠿⠋⠉⠉⠓⠚⠛⠉⢉⠡⠂⠀⠀⠀⠀⠀⠀⠀⠑⡀⠀ ⠀⠀⢠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢰⠀ ⠀⢀⣿⣆⠀⣀⡴⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⡠⣾⠷⠦⠀⠀⠀⢂ ⠀⢨⢷⡟⠿⢿⣿⡳⣦⣀⣀⣀⡀⢠⣺⣿⣤⣤⣤⣤⣴⣿⡟⠀⠀⠀⠀⠀⠈ ⢀⡇⠀⡝⠀⢸⣿⣿⣾⣿⣽⣿⣛⡉⠀⠉⠛⡶⣷⣾⣿⣿⣿⠀⠀⠀⠀⠀⢀ ⢸⡄⠰⠁⠀⢸⠿⣿⣿⣟⢭⠁⠀⠀⢠⡀⠀⠀⠉⠉⢀⣸⣿⣦⢱⡀⠀⠀⢸ ⡌⠐⣇⣀⣴⡟⠀⢹⡟⠛⢿⠛⠛⠓⢤⠋⠙⠓⠢⠤⠆⡹⠁⠘⣿⡏⠀⠀⢸ ⠀⠀⠹⣿⡏⠀⠀⢸⡍⠠⣹⣦⣤⡀⢸⣀⢀⠀⠀⠀⢀⡇⠀⠀⡏⠀⠀⠀⢸ ⠀⠀⠀⠰⡇⠀⠀⣇⢀⡀⠈⠓⠀⠈⡁⠀⠁⠀⠀⢀⣼⠀⠀⢀⡅⠀⠀⠀⢀
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⢠⣄⠀⠀⠀⠀⠀⢀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢉⣶⡶⠋⠓⢶⡏⠁⣀⣀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡀ ⠀⠘⠿⣿⣶⣦⣬⡀⢸⣿⡇⠀⠀⢾⣿⠀⣾⡇⠘⠀⣿⣿⠈⠃ ⠀⢠⣆⠀⠉⢹⣿⡿⢸⣿⡇⠀⣀⢸⣿⣀⣿⣇⠀⠀⣿⣿⠀⠀ ⠀⠈⠉⠓⠒⠚⠉⠀⠈⠉⠉⠉⠁⠀⠉⠀⠉⠉⠀⠈⠉⠉⠀⠀

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⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⡿⠗⠀⠠⠄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⡜⠁⠀⠀⠀⠀⠀⠈⠑⢶⣶⡄ ⢀⣶⣦⣸⠀⢼⣟⡇⠀⠀⢀⣀⠀⠘⡿⠃ ⠀⢿⣿⣿⣄⠒⠀⠠⢶⡂⢫⣿⢇⢀⠃⠀ ⠀⠈⠻⣿⣿⣿⣶⣤⣀⣀⣀⣂⡠⠊⠀⠀ ⠀⠀⠀⠃⠀⠀⠉⠙⠛⠿⣿⣿⣧⠀⠀⠀ ⠀⠀⠘⡀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡇⠀⠀ ⠀⠀⠀⣷⣄⡀⠀⠀⠀⢀⣴⡟⠿⠃⠀⠀ ⠀⠀⠀⢻⣿⣿⠉⠉⢹⣿⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠁⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀