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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡛⠛⠷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡇⠀⠀⠀⠙⠻⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⠀⠀⠀⠀⠀⠀⠈⣹⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⣠⡴⠞⠉⠈⠻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣿⡧⠤⠤⠶⠖⠋⠉⠀⠀⠀⠀⠀⢹⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠞⠉⠀⠉⠙⠻⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⢀⣠⡴⠞⠉⠀⢀⣀⣀⣀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣆⣴⠟⠉⠉⠉⠛⢶⡖⠛⠉⠁⠀⠀⢠⡾⠋⠉⠈⠉⠻⣦⣰⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣤⣾⠟⠋⡿⠁⢀⣾⣿⣷⣄⠈⢿⡀⠀⠀⠀⢠⡟⠀⢠⣾⣿⣷⡄⠘⣿⠉⠛⢿⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⠏⠀⠀⢸⡇⠀⢸⣿⣿⣿⣿⠀⢸⡇⠀⠀⠀⢸⡇⠀⣿⣿⣿⣿⣧⠀⢹⡇⠀⠀⠙⣿⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⠘⣧⠀⠘⣿⣿⣿⡟⠀⣸⠇⠀⣀⣤⢾⣇⠀⠹⣿⣿⣿⠇⠀⣾⠁⠀⠀⠀⢸⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⠹⣧⡀⠈⠉⠁⢀⣴⠿⠞⠋⠉⠀⠀⠻⣦⡀⠈⠉⠁⣠⡾⠃⠀⠀⠀⠀⣾⡏⠀⠀⠀⠀ ⠀⠀⢀⣠⣶⠿⠛⠛⠛⠛⠛⠛⠉⠙⠛⠒⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠚⠛⠉⠀⠀⠀⠀⢀⡼⠿⢷⣦⣄⠀⠀ ⠀⣠⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⠛⠛⠒⠶⠶⠶⠶⠶⠶⠶⠖⠚⠛⢛⡷⠀⠀⠀⣀⡴⠋⠀⠀⠀⠈⠻⣷⡄ ⢰⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⡀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⠛⢁⣠⡴⠞⠋⠀⠀⠀⠀⠀⠀⠀⠘⣿ ⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠶⠶⠦⠶⠶⣚⣫⡥⠶⠚⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿ ⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⡤⠴⠖⠚⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡿⠃ ⠀⠈⠛⣷⣦⣤⣤⣤⣤⣤⣤⣶⡶⠾⠿⠟⠿⠿⠿⠶⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⠶⠿⠛⠉⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣶⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⡿⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⣿⣿⣿⡿⣿⣿⣧⣀⠀⠀ ⠀⠀⠀⠀⢺⣿⣿⣿⣿⣧⣬⣻⢿⣿⣿⡦ ⠀⠀⠀⠀⠀⠙⠻⠿⢿⣿⣿⣿⣿⡏⠛⠁ ⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⣽⣿⡿⠁⠀⠀ ⠀⢀⡠⣿⣷⣤⡀⠀⠀⢸⣿⣿⠃⠀⠀⠀ ⠰⠿⠿⠿⠿⠿⠇⠀⠠⠿⠿⠏⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⢿⣇⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡶⠿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣇⠀⠀⠀⠀⠀⠀⢻⣿⠁⠀⠀⠀⠀⠀⠘⢷⡄⠀⠀⠀⠀⠀ ⠐⠴⣗⣦⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠇⠀⠀⢠⣶⠟⠛⠉⠀⠀⠀⢠⡄⠀⠀⠈⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠉⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⢀⣼⠇⠀⢀⣼⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣆⠀⠀⠀⠀⢹⣷⠀⠀⠀⠀⣿⠁⠀⠠⣏⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡘⠀⠀⠀⢘⡇⠀⠀⠀⠀⠀⠱⢄⠀⠀⠀⠘⡆⠀⠀⢰⡟⠁⠀⠀⠀⠀⠹⣷⡄⠀⠙⢦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠇⠀⠀⢀⡾⠃⠀⠀⠀⠀⠀⠀⡶⣤⠀⠈⠁⠀⠀⠀⠘⣗⠀⠀⠀⠀⠀⠀⢈⡿⠀⠀⠀⠃⠀⠀⢀⠀⠀ ⠀⠀⠀⢠⠟⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⣰⠃⢸⡀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⢀⡾⠋⠀⠀⠀⠀⠀⠰⠤⠿⠒⠂ ⠀⠀⠀⣞⠀⠀⠀⢸⡇⠀⠀⠀⠀⣠⡴⠟⠁⠀⠈⠳⠦⣤⣀⠀⠀⠀⠁⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠹⠀⠀⠀⠀⠧⠀⠀⠀⢰⡟⠀⠀⠀⠐⠼⢟⣲⡐⠈⣻⣤⣤⣀⠀⠀⠀⠀⠀⠙⢶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠐⠀⢀⠀⠀⠀⠀⡉⠉⠉⢠⡘⠙⣿⣦⡀⠀⠀⠀⠰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⣦⡀⠈⠐⠀⠄⠀⠀⠀⠀⠀⣀⣀⢈⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠁⣠⠌⠉⠓⠒⠀⠀⠀⠀⠐⠊⠊⠇⠿⠀⣀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⠯⣷⡀⡜⢡⠆⠰⠂⠀⠀⠀⠀⠒⠦⠄⠌⠙⠲⢻⠉⡿⢶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣾⠟⢠⠇⢩⠃⠀⠀⠀⠀⠀⠀⠤⠃⠀⠀⠀⠀⠀⠹⣄⠀⡈⠙⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⠟⡋⠁⠀⠀⠀⠀⠀⠀⣰⠓⡀⠠⠀⠀⠀⠀⠀⠀⠀⠀⢀⡈⡆⠳⣌⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⡟⠱⠡⠃⠐⠂⡄⠀⠀⠠⠄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠆⢹⣴⣀⣳⣷⣶⠾⠟⠛⢷⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠉⠉⣉⡙⡛⠛⠛⠛⠛⠋⠉⠉⠀⠀⠀⢣⡑⠈⢻⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⡇⢹⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠁⠀⠀⡀⢰⢠⠀⡆⠀⠆⠀⡄⢄⢶⠼⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠹⣷⡀⠘⡟⡆⡄⡀⠀⠀⠀⢀⠀⠀⠰⠀⠀⠀⠀⠐⣶⠄⡇⠾⠘⠀⢉⡄⢠⢧⢧⢸⠀⣰⡟⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣼⣷⡄⠀⣡⠁⢀⠈⡀⠀⠈⠐⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠃⠘⠢⠘⠊⢈⣡⣴⠟⡠⠋⡰⠃⡄⠀⠀ ⠀⠀⣸⠕⢋⡽⠻⣶⣅⣇⠈⠰⠁⡇⠄⢰⠀⠀⠀⠀⠠⢠⣴⠠⠀⠃⠀⠀⢀⣀⣤⣴⡾⢟⡿⢣⠞⣡⠞⢀⡜⠁⠀⠀ ⠀⠀⡴⠊⢁⡠⠚⠉⢉⡿⠛⢿⠷⢶⣶⣶⣦⣤⣤⣤⣤⣶⣶⣶⠶⡾⠿⠛⡿⠋⡩⠋⠠⠋⡴⢃⡜⠁⠀⠎⠀⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠚⠁⠐⠋⠀⠊⠀⠘⠁⠀⠁⠀⠈⠀⠘⠁⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
pls note the ai inflicts emotional damage (ᵕ—ᴗ—)
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡍⠛⠶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⢙⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⣀⣀⣀⠴⠚⠁⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣴⠟⠉⠀⠀⠀⠀⠀⠀⢀⡸⢧⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⠁⠀⢀⠀⠀⠀⢀⣠⠔⠋⢀⡀⠈⢻⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣼⣦⠋⣉⡉⢲⡚⠉⠀⢠⠞⣉⣉⠳⡼⢧⣀⠀⠀⠀⠀ ⠀⠀⢀⡾⠋⠀⡇⢰⣿⣿⠀⣧⠀⠀⡏⢸⣿⣿⡆⢹⠀⠉⢷⡀⠀⠀ ⠀⠀⢸⡇⠀⠀⢧⠈⠿⠟⢠⣇⠤⠖⢳⡈⠻⠟⢁⡞⠀⠀⢸⡇⠀⠀ ⢀⣠⠶⠓⠒⠒⠒⠓⢒⡚⠁⠀⠀⠀⠀⠙⢒⡒⠋⠀⠀⣠⠿⢦⣄⠀ ⣾⠁⠀⠀⠀⠀⠀⠀⠫⣌⠉⠉⠉⠉⠉⠉⣩⠟⢀⡤⠚⠁⠀⠀⠙⣆ ⣧⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠒⣒⡲⠭⠒⠊⠁⠀⠀⠀⠀⠀⢀⡿ ⠹⢦⣄⣀⣀⣠⣤⠤⠴⠶⠶⣬⣭⣄⣀⣀⣀⣀⣀⣀⣀⣤⡤⠶⠋⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣴⣶⣦⣿⣛⣺⣙⣿⣔⠿⠾⠱⡒⢶⣤⣄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⠁⠀⠀⠀⠀⣠⣴⣖⣿⡿⢿⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠻⠿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⠿⠛⠉⠀⠈⡄⠀⢡⠀⠀⠀⠀⠴⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⢻⣦⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣾⡿⠋⠁⠀⠀⠀⠀⠀⠀⡀⠀⠈⢤⢀⠄⠔⠠⠀⠤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠾⣫⡲⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣼⣿⠟⠀⠀⠀⠀⠀⠀⠀⠁⠠⠄⠀⠉⡈⠉⠐⠦⠀⠄⡥⠧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⣾⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠘⢻⣾⣆⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⠀⡀⠀⠀⠀⠀⠀⠈⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠺⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣿⣿⠏⠀⠀⠀⠀⠀⠀⣤⣾⣽⡿⠿⠛⠛⠛⠛⠿⠿⠿⣿⣶⣷⣦⠀⠀⠀⠀⠸⣾⣶⣶⣶⣾⣿⣿⣿⠿⢿⣷⣾⣗⠦⣽⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⣿⣿⠀⠀⠀⠀⠀⠂⠀⠉⠛⠁⠀⠀⠀⢰⠒⠤⠦⠤⠤⠤⠦⡅⠀⠀⠀⠀⠀⠀⢈⡩⠭⠥⠤⠤⠤⡤⣄⠀⠀⠈⠙⠷⡄⢹⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠋⢹⣿⣿⣿⡟⢻⡖⠂⢿⠂⠀⠀⠀⠀⢰⣿⠁⠐⣶⢲⣶⣶⡶⣾⠲⢤⡀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠙⠲⠚⠟⠿⠿⠷⠤⠽⠄⠈⠀⠀⠀⠀⠀⠀⠘⠆⠼⠥⠬⠿⠿⠿⣧⢤⠴⠛⠂⠀⠀⠀⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣽⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠄⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⣤⠏⠀⠀⢠⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠾⠁⠀⢠⡏⠀⠀⢠⣾⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠤⠶⠶⠛⠋⠁⠀⠀⠠⡟⠀⠀⣠⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⢀⣾⣿⣿⣶⣦⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣶⡿⠏⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣦⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⠿⠋⠀⣼⣿⣿⣿⣟⡿⣻⡟⢻⣿⣿⢿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣷⣶⣤⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣴⣾⡿⠟⠋⠁⠀⠀⣼⣿⣿⣿⣿⣾⣽⣿⣧⣀⣠⣾⣻⢮⣟⣿⣿⠟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠋⠉⠁⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⠿⠛⠛⠻⠿⣿⣿⣾⣷⣻⣾⣿⣇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠙⢿⣿⣿⡟⠘⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⢯⣻⢿⣿⣿⣶⣦⣤⣀⠀⠈⠛⠟⠀⠀⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣯⣾⣻⣟⣿⣿⣿⣷⠀⠀⠀⠀⠀⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡿⠛⠙⠛⠻⠿⢿⣿⣿⣿⡿⠃⠀⠀⠀⠀⢰⣿⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⣄⡀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⣤⣿⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣷⣶⣤⣤⣶⣶⡶⠀⠀⠀⣀⣼⡿⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣯⡉⠉⠉⠁⠀⣀⣴⣿⠿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⣿⣶⣾⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠀⠀⢀⡴⠂⠀⠀⠀⠀⠀⠸⣆⠀⠀⢀⣸⡏⠀⠀⠀⠰⡄⠀⠀ ⠈⠉⠋⠀⠈⣧⠀⠀⠀⠀⠀⠀⢠⠋⠀⠰⡏⠀⠀⠀⣸⠀⢀⠇⠀⠀ ⠀⠀⠀⢀⠀⠘⣆⠀⠀⠀⠀⠀⠘⢆⠀⢀⡽⠀⠀⠸⣅⠀⢇⠀⠀⠀ ⠀⠀⠀⡇⠀⢠⠏⠀⠀⠀⢠⢥⠀⠈⠐⠘⡆⠀⠀⠀⣸⠆⠀⠃⠀⡀ ⠀⠀⠘⠀⠀⡇⠀⠀⢀⡤⠊⠘⢄⣀⠀⠀⠃⠀⠀⢞⠀⠀⠀⠀⠁⠁ ⠀⠀⠐⠀⠀⠁⠀⠀⡏⡀⠀⠘⠡⠤⠽⡲⢤⡀⠀⠈⢱⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠷⣄⡀⠒⠀⠀⢀⡡⡈⠽⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⢫⣀⢪⠀⠀⠉⠀⠤⠀⠀⠥⡖⢥⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⡽⠟⠘⠘⠀⢀⡀⠀⠊⠀⠀⠀⠘⠄⣌⢳⡀⠀⠀⠀⠀ ⠀⠀⢀⡞⠕⠂⠂⠄⠀⠠⠅⣁⣀⣀⣀⣀⣢⣌⡴⠿⠚⢳⡄⠀⠀⠀ ⠀⠀⢸⠑⣀⠀⠀⠀⠀⠀⠀⠀⠐⠔⠀⠀⡄⡀⠀⠄⡈⣠⢹⠀⠀⠀ ⠀⠀⠘⣆⠛⠆⠠⠀⠀⠄⠀⠀⠀⠀⠛⠀⠃⡁⣅⠘⠷⢋⡼⡀⡠⠀ ⠀⠀⢎⠫⢳⣽⣠⣈⠆⠀⠀⠀⠠⠤⠠⠐⣀⣀⣠⡴⢞⢋⢊⠌⡰⠁ ⠀⠈⠁⠊⠀⠐⠩⠋⠝⠹⠉⠛⠙⠉⠋⠍⠉⠋⠊⠀⠑⠑⠁⠈⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠐⠒⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡄⠊⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠣⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠧⣀⡀⡀⠀⠀⠀⠀⠀⡿⣄⡀⠀⠀⠀⠀⠀⠀⡴⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡝⠀⠀⠀⣀⡴⠃⠀⠉⠓⢦⡀⠀⠂⠋⠀⠀⠀⠀⠀⠀⡆⠀ ⠀⡀⠀⠀⠀⠀⠐⠊⠁⠀⠀⠀⡎⠁⠀⠀⠀⠀⠀⠀⠉⢆⠀⠀⠀⠀⠀⠀⠀⠀⢉⡆ ⠀⡁⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡁⣂⣀⣀⣀⣀⣀⣀⣀⣸⣀⣀⠀⠀⠀⠀⠀⠀⡎⠀ ⣆⡀⠀⠀⠀⠀⣠⠏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠉⠳⡄⠀⠀⠀⠈⡇ ⡠⠃⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠐⠀⠁ ⣇⡀⠀⠀⠀⠀⢈⡧⡠⠤⠤⢄⡀⡀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣐⡒⠒⠁⠀⠀⠀⠀⠀ ⠀⠅⠀⠀⡰⠊⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠓⢶⡤⠤⡀⠀⠀ ⠀⠀⠀⣎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⡇⠀⠀ ⠀⠀⠀⠈⠑⠄⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠞⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⠁⠃⠂⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠔⠒⠊⠉⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠀⠀⠎⠤⠛⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠠⡁⠑⠀⠨⠀⡍⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠅⠀⠐⠂⠀⡀⠤⡧⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡄⡷⠀⠄⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡅⠀⡁⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠀⠆⠀⠀⠀⠄⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠕⠀⠀⠀⠀⠀⠂⠂⠃⠃⠁⠑⠃⠊⠌⣀⡇⠀ ⠀⠀⠀⠀⠁⠃⠂⠴⣠⣂⠀⠀⠀⠀⠀⠀⡀⠢⠀⠀⠀⠀⡀⣤⢤⡤⠀ ⠀⠷⣈⣉⢀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠉⠒⠤⠄⠓⠀⠀⠀⠃⠘⠀⠀⠀ ⠄⣐⣀⢀⠀⠃⡠⣀⣀⡀⣀⠤⠤⡤⠀⠀⠈⠉⠀⢰⠀⠀⡔⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⡀⠁⠒⠒⠓⠀⠀⠒⠒⠚⣀⠀⠀⣏⠘⠁⡇⠀⠀⠀⠀⠀ ⡀⠢⠉⠁⠀⠑⣐⠀⠀⠀⢸⠀⠀⠀⢘⠀⠀⠇⣿⢘⡲⡟⠃⠓⠅⠁⠋ ⠀⠀⠁⣏⣼⡃⠀⠀⠀⠇⢾⠀⠀⠀⢇⠱⠀⡆⢗⠠⠀⢸⠀⠀⠀⠀⠀ ⠉⠒⢠⡇⢀⡂⢹⠀⠀⡎⣠⠀⠀⠀⡀⣆⣒⡿⣤⠀⠀⢨⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠀⢿⣈⢤⡤⠀⠀⠀⠀⠀⠀⠉⡴⢀⠀⠀⠃⢐⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠈⠀⣄⠲⠓⠛⠉⠂⠒⠶⣠⢀⠳⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⢟⠀⠀⠀⠊⢀⠀⠀⠀⠀⠀⠀⡀⢦⠈⠀⣗⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⢷⠉⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⡋⡸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡆⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀

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�𓀐𓂩💩💸𓀐𓂸𓀐𓂩💩💩💩💩💩�⠀⠀⠀⠀⠀⠟⣿⣿⠻⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣾⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠈ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡀⣀⣀⣀⣄⣤⣤⣿⣿⣿⢄⠻⠘⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣼⢠⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠇⣿⣿⣿⣿⣿⣿⠻⠀⠀⠀⠀⠀⣿⣿⣿⣿⢹⠀⡇⣿⣿⣿⣿⣼⣤⣤⣤⣤⣤⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⢹ ��⠀⠀⠀⠀⡏⣿⣿⣿⣿⣿⣿⣿⢿⠿⠻⠛⠛⣿⣿⣿⣿⣿⠀⡇⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡯⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⠀��⠀⠀⠀⣦⣿⣿⣿⣿⣿⣾⣶⣶⣡⣛⣝⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⢸⠀⠀⠁⠋⠛⠛⡙⣈⣀⢀⠀⠀⠀⠀⣦⣿⣿⢿⣜⣷⣿⣿⣾⣠⣏⣿⣿⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⣿⣿⣿⣿⢻⠛⠟⣿⣿⣿⣿⣿⣿⠹⠁⡿⣿⣿⣿⣿⣿⣷⣿⣿⠻⣈⣀⠀⠁⣿⣿⣿⣿⣿⣿⣿⢠⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⡀⣷⣿⣿⣿⣶⢀⠀⣦⣿⣿⣿⠹⠀⡟⣿⣿⣿⣿⣿⣿⣸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⠟⣿⣿⣿⣿⣿⠀⣷⣿⣿⣿⣿⣿⣿⣼⠀⠀⡀⣀⠀⠀⠀⠀⠀⣄⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣾⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠋⡿⣿⣿⣿⣿⣿⣿⣸⠏⣯⣿⣿⣶⣶⣴⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠁⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠟⣿⣿⣾⣧⣿⣿⣿⣿⣿⣿⣿⣷⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣿⣿⣿⣿⣿⣿⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⣷⣿⣿⣿⢀⡟⣿⣿⣿⣿⣿⣿⣿⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⣿⣿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⣷⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⣍⣤⣤⣤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡿⣿⣿⣿⣿⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣆⣿⣿⣿⣿⣿⣿⣿⣷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣿⣿⣿⣿⣿⣿⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣄⣿⣿⣿⣿⣿⣾⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⣏⣿⣨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣶⣿⣿⣿⣾⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠁⠟⣿⣿⣿⣿⢿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡟⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡆⣿⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⣤⣶⣶⣴⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

⠀⠀⠃⠖⠤⠤⠤⠤⠤⣠⣀⣄⠥⠯ ⠇⢦⠺⠒⠒⠒⠒⠒⠒⠤⡤⣀⠋⣿ ⢆⠙⡃⣈⣀⢄⠤⠤⠤⣀⣀⠀⠃⣿ ⡀⣀⣀⣦⣙⢄⠤⠦⠒⠒⠒⠟⣼⣀ ⠀⠀⠀⠀⣄⠦⠻⠛⠒⠶⣿⡠⠀⠀ ⠀⠀⠀⠀⠀⠇⣠⡀⢳⡞⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣆⠙⡼⠀⠀⠀⠋⠀ ⠀⠃⠠⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀ ⠀⠀⢸⠀⠀⠀⠃⠒⠒⠐⠀⠀⢆⠘ ⠀⡄⠳⠀⠀⠀⢧⠀⠀⠀⠀⠀⠃⢰ ⠀⠀⠁⣞⠀⠀⠀⣄⠸⠀⠀⠀⣰⠀ ⠀⠇⢠⠀⠀⠀⠁⡼⠀⠀⠀⠀⠀⠀ ⠀⡄⠐⠀⠀⠀⡆⠙⠀⠀⠀⠀⠀⠀

Warning: This item may contain sensitive themes such as nudity.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠟⠁⠀⠈⠳⠦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⠐⠼⢟⣲⡐⠈⣻⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠐⠀⢀⠀⠀⠀⠀⡉⠉⠉⢠⡘⠙⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⣦⡀⠈⠐⠀⠄⠀⠀⠀⠀⠀⣀⣀⢈⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠁⣠⠌⠉⠓⠒⠀⠀⠀⠀⠐⠊⠊⠇⠿⠀⣀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⠯⣷⡀⡜⢡⠆⠰⠂⠀⠀⠀⠀⠒⠦⠄⠌⠙⠲⢻⠉⡿⢶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣾⠟⢠⠇⢩⠃⠀⠀⠀⠀⠀⠀⠤⠃⠀⠀⠀⠀⠀⠹⣄⠀⡈⠙⣷⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⠟⡋⠁⠀⠀⠀⠀⠀⠀⣰⠓⡀⠠⠀⠀⠀⠀⠀⠀⠀⠀⢀⡈⡆⠳⣌⢸⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⡟⠱⠡⠃⠐⠂⡄⠀⠀⠠⠄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠆⢹⣴⣀⣳⣷⣶⠾⠟⠛⢷⣄⠀⠀⠀⠀⠀ ⠀⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠉⠉⣉⡙⡛⠛⠛⠛⠛⠋⠉⠉⠀⠀⠀⢣⡑⠈⢻⡆⠀⠀⠀⠀ ⠀⢸⡇⢹⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠁⠀⠀⡀⢰⢠⠀⡆⠀⠆⠀⡄⢄⢶⠼⣿⠀⠀⠀⠀ ⠀⠹⣷⡀⠘⡟⡆⡄⡀⠀⠀⠀⢀⠀⠀⠰⠀⠀⠀⠀⠐⣶⠄⡇⠾⠘⠀⢉⡄⢠⢧⢧⢸⠀⣰⡟⢀⠀⠀⠀ ⠀⢀⣼⣷⡄⠀⣡⠁⢀⠈⡀⠀⠈⠐⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠃⠘⠢⠘⠊⢈⣡⠴⠋⡀⠋⡰⠃⡄ ⢸⠕⢋⡽⠻⣶⣅⣇⠈⠰⠁⡇⠄⢰⠀⠀⠀⠀⠠⢠⣴⠠⠀⠃⠀⠀⢀⣀⣤⠔⡨⢔⡾⢣⠞⢠⠞⢀⡜⠁ ⠀⠈⠁⠀⠚⠉⠉⠛⠛⠛⠓⠒⠒⠶⠦⠤⠤⠤⠤⠶⠶⠒⠒⠊⠭⠉⠍⠂⠈⠋⠀⠋⠐⠁⠘⠁⠀⠊⠀⠈
⠀⠀⠀⠀⠀⠀⠀⢰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀ ⠀⠀⠀⠀⣠⡶⠾⡇⠀⠀⠀⢀⡶⠟⢷⡀⠀⣴⠟⠁⠀⠉⢷⣄⠀⠀ ⠀⠀⠀⢸⡏⠀⠀⡼⣄⣀⠀⠸⣧⣤⡾⠃⠀⠹⣧⣤⢴⡾⠋⣿⠀⠀ ⠀⠀⠀⠘⠷⠶⠟⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇ ⠀⠀⣀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⡀⢀⣀⣮⠟⠀⠀ ⣰⡟⠋⠉⣿⠀⠀⠀⣾⠟⠀⠀⣔⡿⠃⠀⠀⠀⠘⠛⠋⠁⠀⠀⠀⠀ ⣽⡀⠀⠀⣿⠀⠀⠀⠻⢦⡀⠀⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠿⠶⠚⠹⠷⠄⠀⠀⣽⡇⠀⠀⢸⡽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠋⠀⢠⡶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⣿⣽⢫⣟⠿⣽⣻⡟⣿⣻⣟⣿⣻⢿⡽⣏⠿⣭⠯⣝⢧⡻⣽⣿⣿⣽⣫⣝⡧⣿⣹⢯⡝⢮⡹⣭⣟⣯⡓⢦⡑⢦⡹⣏⢯⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⢻⡝⣯⢛ ⣟⡞⣟⣾⣻⢷⣯⣽⣳⣟⣾⣳⣯⣟⡿⣽⣛⣧⢟⡼⣮⣿⣿⣿⣿⣿⣿⣟⣾⡵⣯⡟⣞⣳⣽⣞⣯⢷⣛⢦⡙⢆⡳⣜⣫⣿⣿⣿⣿⣿⣿⢿⣟⢯⡟⣿⢿⣿⣿⣿⡿⢯⡜⢤⢋ ⣿⣽⣯⢶⣯⣟⣾⣳⢿⣼⡳⣟⡾⣽⣻⢷⣻⢮⡿⣹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣳⣏⢿⣳⣿⡿⣯⢿⣜⣦⡙⢮⣱⣎⣷⣿⣿⣿⢯⡷⣏⡾⣜⡿⣾⣿⣿⡿⣿⣻⢽⣳⢚⡆⢫ ⣿⣿⣿⣿⡷⣯⢾⣝⣯⢶⣻⣭⢷⣫⡽⣯⣟⣯⢿⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⢯⣻⡽⣷⢿⣽⣛⡞⢶⡩⣗⣿⣿⣿⣿⡿⣽⣿⣿⣿⡵⣯⢿⣿⣻⢗⡻⣱⠭⣖⢣⢋⡜⣥ ⣿⡽⣞⣷⣻⣟⣿⣾⡿⣿⣷⣯⣷⢯⣟⡷⣻⣞⣿⢾⡽⣻⣿⣿⣿⣿⣿⣿⣿⡷⣯⢳⢧⡻⣭⢟⡲⣭⢞⣧⢳⢭⡻⣟⣯⢷⣿⣿⣿⣿⣿⡿⣝⡻⢶⡙⡎⡵⢣⡛⡤⢃⡾⣼⣳ ⣿⣿⣿⣞⣷⣿⣿⣷⣻⣿⣿⢯⣟⡿⢮⣗⣟⡾⣿⣯⢷⣻⣿⣿⣿⣷⣿⣿⣿⣷⣯⣳⣏⣳⡝⣮⢳⡭⣞⢭⣓⣦⣿⣿⣾⣿⣿⣿⣿⣿⣿⢳⢣⡜⢦⢳⡹⣜⢣⢷⣱⢯⣾⣿⣿ ⣿⢿⣟⡾⣽⡞⣿⣿⣿⣿⡿⣟⡾⣽⣛⡾⢾⣽⣻⡿⣯⢷⣫⠿⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⣝⠋⠆⠉⢆⡳⡵⣎⡿⣏⢾⣹⣾⣿⣻ ⣯⣟⡾⣽⣣⢟⡵⣯⣟⡾⣽⢯⣟⡶⣏⢿⣛⡾⣽⣻⡽⣺⢵⣛⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢚⠌⢣⠈⠀⢌⠳⣽⢾⣽⣋⢮⣳⣿⣿⣿ ⢧⣜⡻⣤⢻⣜⡻⣇⣟⣻⣛⡿⣼⣻⢟⣼⣛⡿⣧⣟⣧⣟⣿⣿⣿⣿⣿⣿⡟⡛⢛⡘⢃⠛⢣⠛⡛⠟⠿⡻⠿⣿⢿⣿⣿⣿⣿⣿⣿⣛⠼⠀⠄⣀⡘⡿⣼⠿⣜⣻⢧⣿⣿⣿⣿ ⠎⡜⡱⢌⠣⡜⣱⠹⣆⢧⡹⣞⡳⣝⢾⡳⢯⣻⢷⣻⣾⣿⣿⣿⣿⠿⡛⠔⡠⠑⡀⠀⠀⠀⠀⠀⠀⡀⠄⠀⠁⠀⠠⠀⢉⠚⠻⣿⣿⣿⣶⡉⢦⡱⢯⡿⣭⢛⡼⣍⡟⣾⢿⣿⣿ ⢎⡵⣓⢮⡱⡜⣥⡛⣜⢦⣳⢭⡳⣏⢾⡹⢇⡿⣻⣿⣿⣿⠟⠁⠀⠀⠀⠀⠐⣡⠂⡐⠀⠈⠀⠀⠁⠀⠀⠄⠈⠀⠄⠐⡈⢆⠡⡈⢻⣿⣿⣿⢦⡹⢯⣟⣧⣻⣼⣷⣻⣭⢿⣿⣿ ⢎⠴⣩⢖⡳⣝⢶⡹⣎⠞⡵⢋⠶⡩⢞⡱⢫⣾⣿⣿⣿⢡⣠⣴⣮⣷⣿⣦⡑⢤⠃⡔⠠⠀⠀⠁⠀⡐⠀⡀⠂⠁⠀⠀⠀⠀⠀⠁⠀⢹⣿⣿⣧⣏⢷⡹⣶⣻⣿⣿⣿⣯⣿⡽⣿ ⢎⡼⣱⢮⡳⢎⢮⡱⣍⡘⠤⢉⠢⣑⢎⡔⣫⣿⣿⣿⣭⣿⣿⣿⣿⣿⠟⡀⣼⣬⣟⣼⡱⢀⠀⣆⣡⣄⡲⣤⣥⣦⣴⣦⣤⣀⠀⠀⠀⠈⢻⣿⣿⣎⣳⢻⣷⣿⣿⣿⣿⣿⣿⣿⣿ ⠺⣴⢫⢞⡱⣋⢦⠓⢦⠜⢢⢅⠢⣍⠾⣼⣿⣿⣿⣿⣿⣿⢿⡿⣟⣟⡾⣵⢻⠞⡝⠣⠙⠢⠙⠼⣿⢾⣿⢿⣿⣿⣿⣿⣿⣿⣶⡄⠀⠀⠸⣿⣿⣿⣮⣟⣿⣿⣿⣿⣿⣿⣻⣽⢿ ⠳⣌⠳⢎⡱⢩⢆⠫⡜⣊⠒⡬⢳⡌⣿⣿⣿⣿⣿⢻⡹⣙⢮⠳⡝⢎⠳⣉⣂⣡⣒⣶⣷⣶⣶⣐⣈⣦⡙⢎⡝⡛⠿⣿⣿⡟⣋⠖⡀⠀⢀⣻⣿⣿⣷⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿ ⢣⠜⡐⢆⡲⣡⠊⠵⡸⢰⢩⠐⣣⢾⣽⣿⣿⣟⢣⢇⠣⢉⠆⠉⡐⢁⣢⣷⣿⣿⣿⠟⠛⠻⢿⣿⣿⣿⡖⠈⠀⠁⠃⠔⠪⡕⡲⢬⣁⠀⠠⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿ ⠡⢎⡱⢋⠶⡁⠎⠡⠑⠂⠤⣙⣶⣿⣿⣿⡿⣏⢮⡘⡐⠂⠄⡀⠀⢰⣿⣿⣿⣿⣷⣾⣦⣤⣤⢸⢿⣿⣿⠀⠈⠀⢀⠈⠐⠠⠑⢊⠵⣫⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿ ⠑⡌⠒⡉⠢⡑⠄⢂⠡⢌⡶⣽⣿⣿⣿⣿⠿⣜⢦⠣⡑⠈⠄⠀⢀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⠀⠀⠀⠀⠀⠂⠁⡐⠈⡜⣭⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿ ⠐⡨⠡⢄⡑⢌⡳⢌⠲⣹⣿⣿⣿⣿⣿⣿⣻⢭⣖⢣⡱⢁⠆⡌⠠⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠁⡀⠌⠀⢄⠱⡘⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣯⣿ ⢣⢓⡛⢦⠘⣬⠳⣏⣼⣽⣿⣿⣿⣿⣿⣿⣽⣳⡞⣧⠳⣍⡞⣬⢣⡜⣿⣿⣿⠁⠀⠀⠈⠉⠻⠿⣿⣿⡇⠀⢀⠈⠀⠠⠠⢁⠊⡴⢩⠞⡼⣿⣿⣿⣿⣿⡿⣽⣳⢯⣟⣿⣿⣾⣿ ⢁⠂⡈⠄⠣⣐⣣⣼⣿⣿⡿⠿⢿⣿⣿⣿⣷⣻⣞⢷⣛⣮⡽⣯⣷⣿⣿⣿⣿⣆⣀⠀⡀⠀⠀⢀⢸⣿⣿⡀⡀⠠⠈⠠⢁⢂⠱⣌⠳⣎⢷⡽⣿⣿⣿⣿⣿⢶⣯⢷⣚⢷⣫⢿⣿ ⠠⠁⠄⠉⠀⣿⣿⣿⣿⣿⣦⠀⠀⠸⣿⣿⣿⣿⣾⣯⣟⣾⣽⣻⢿⣿⣿⣿⣿⣿⣿⣻⣵⣮⣷⣾⣾⣿⣷⣷⡥⢃⠌⢢⡁⢎⠲⣬⢳⣯⣾⣿⣿⣿⣿⣿⣿⢿⣾⣯⣟⡾⣭⣟⢿ ⠠⠁⡄⠠⠀⠛⠿⣿⣿⣿⣿⣶⡀⠀⠀⠛⠿⣿⣿⣿⣿⣿⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣱⢫⡜⣡⠞⣌⡳⣞⣿⣾⢷⡟⠛⠛⠿⡿⢏⠻⣜⡳⣯⣟⣷⣻⢮ ⢄⢣⡘⢄⠂⡈⠔⡡⢌⠽⢿⣿⣿⣦⡄⢀⠀⢠⠹⡟⣿⣿⣿⣿⣿⣿⣿⣷⣯⠳⡍⠭⡹⢭⣻⣟⣿⣿⣿⣷⣿⣿⣟⡧⡟⣜⠳⡝⡞⠍⠃⠈⠀⠀⠀⠀⠀⠀⠀⠙⣧⣟⡾⣽⣻ ⡎⢳⡍⠊⡖⢱⠊⡔⠊⡖⢨⠙⣿⣿⣿⣿⣮⡇⣯⡔⢡⣿⣿⣿⣿⣿⣿⣿⣯⢳⠙⢲⣭⢳⡗⣾⢹⡟⣿⢹⠙⢢⠈⠐⠁⠈⢠⠁⠀⠀⠀⠀⡄⣴⠒⡆⢲⡔⣾⢻⣷⡟⣾⣽⢻ ⠸⢡⠘⢌⠒⡥⠚⢥⢋⡔⢣⠐⡬⢛⣿⣿⣿⣾⣶⣣⡙⣶⣻⣿⡿⣟⠿⡳⠌⠊⠑⠂⠜⠣⠹⡜⣯⠿⡉⠃⠌⠀⡀⠂⢀⠂⠀⠀⢀⠠⠐⣠⢿⣱⢣⣞⢧⡳⢭⣟⣿⣿⣷⡹⣞ ⡑⠂⡅⢊⠜⡠⢍⢂⡳⣜⢣⡙⡴⢣⡌⡝⣿⣿⣿⣷⣿⢶⢯⡟⡱⢍⠂⠁⡀⠄⠂⠀⠄⠀⠀⠀⠀⠀⠀⠄⠐⢠⢰⡱⣦⢴⣰⣬⣤⣶⣽⣿⡿⣯⣟⡾⣯⡽⣳⣾⣿⢿⡾⣽⣳ ⠠⠁⠌⢂⠘⠄⡊⢖⡱⢎⢣⠹⡜⢧⡻⣴⡡⣿⣿⣿⣿⣛⢮⡱⢁⠂⠀⡁⠀⡀⠄⠀⠀⠀⢀⠀⡀⢄⠡⠐⣈⠦⣿⣿⣿⣿⣿⢿⡿⣻⢯⢷⣻⡽⣯⣟⣶⣛⡷⣻⣞⡯⣽⢳⣟ ⠡⢌⠰⢨⠘⡄⡘⢤⣋⢮⣐⠣⡝⢎⢷⡻⣿⣿⣿⣿⢧⡝⣦⣝⢮⡜⡀⠠⠀⠀⡀⠀⠀⠀⢀⠒⠨⣄⠣⣑⠢⣍⢻⣿⣏⠾⣜⢧⡻⣵⢫⣟⣳⣟⣷⣻⢮⣝⣾⣳⣯⡽⣞⡻⣞ ⢳⡘⢦⠃⡭⢰⢩⢞⡹⣞⡬⢳⡜⣭⠒⣽⣿⣿⣿⣻⢾⣽⣳⡟⣾⠰⣁⠠⠀⠁⠀⠠⠀⠀⠂⡌⠳⣌⣳⢬⡳⣌⡳⢾⣝⡮⡙⢦⡙⢶⣫⢞⡵⣻⢾⣽⣻⣞⡾⣽⣷⢻⣜⡳⡽ ⢧⡛⠥⢃⡘⢥⣋⢮⡱⢳⡜⣳⢞⡴⣫⣿⣿⣿⣯⣿⣿⣿⣳⣿⣳⢏⡴⢀⠂⡐⠀⠄⠐⠀⡀⠌⠳⣙⢮⡻⣵⢫⣽⣻⣿⣳⢍⡲⣙⠮⡵⣫⢞⡵⣻⣞⡷⢯⢿⡝⣯⢟⡞⣷⣹ ⢲⡉⢎⠰⡐⢌⡲⢣⡙⢦⡹⢧⡻⣴⣿⣿⣿⣿⣿⣿⣿⡿⣟⣷⣛⢎⡖⣡⠞⣌⢳⡈⠄⠂⢀⠠⢁⡘⢂⠳⣉⠗⣮⢷⣿⣟⡮⢱⣍⢾⡱⣝⣾⡽⣧⢟⣞⢯⡳⣝⢮⡻⣜⢧⣏ ⠣⠘⡀⠃⠐⢨⠘⡅⢚⣦⣿⣷⢻⣽⣿⣿⣿⣻⣟⡿⣏⢿⡙⢎⠍⢎⠰⢃⠻⡜⢣⠘⠀⠈⠀⠀⠂⠈⠄⢃⠉⢎⠱⣋⠾⣽⣫⠕⣪⠳⡝⣎⠷⣻⣭⠟⣎⢳⡝⣎⠧⡝⣎⢻⡼
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠻⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡏⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣤⣾⠟⠀⠀⠀⠀⠈⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⡿⠿⠛⠛⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⠿⠛⠛⠛⠷⢦⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⠶⠟⠛⠛⠻⢿⣦⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣴⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣿⣿⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣦⡀⠀⠀⠀ ⠀⠀⣠⣾⠟⠁⠀⠀⠉⠙⠛⠷⠶⣦⣤⣄⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⣤⣴⠶⠞⠛⠋⠁⠀⠈⠻⣿⣦⠀⠀ ⠀⣼⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣷⡀ ⣸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷ ⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⣷⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⠀⠰⢿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⠶⠀⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⢸⣿⡄⠀⠀⠀⠀⠀⠀⠙⠟⠁⠀⠀⠀⠀⠀⠀⠀⠰⣟⡛⠛⠛⠛⣻⡆⠀⠀⠀⠀⠀⠀⠀⠉⠻⠛⠀⠀⠀⠀⠀⠀⠀⣾⡟ ⠀⢻⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠁ ⠀⠀⠙⢿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀ ⠀⠀⠀⠀⠙⠻⣿⣶⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣤⣴⣾⠿⠛⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿y⣿⣿o⣿⣿u⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿have⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿BEEN HACKED⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠛⠿⠾⠶⠶⠶⠶⠶⠿⠿⠿⠻⠛⠛⠉⠉⠀⠀⠀⠀⠀⠉⠋⠛⠛⠟⠿⠿⠿⠶⠶⠶⠶⠶⠿⠿⠛⠛⠉⠀⠀⠀ ⠃⡿⣴⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣥⣯⣿⠻⠛⠟⣿⣬⣠⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣷⠻⠀ ⡇⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠛⠶⣤⣤⣠⣀⢀⠀⣀⣀⣤⣤⢦⠲⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸ ⡀⣿⠹⡿⢿⠻⠈⠀⠀⠀⠀⠀⠋⠶⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠳⠙⠀⠀⠀⠀⠀⠃⠿⣿⢸⠏⣾⠀ ⠀⡀⣷⣻⣬⣶⢰⠀⠀⠁⠟⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢦⠙⠀⠀⠀⡆⣴⣯⣿⣴⢀⠀ ⠀⠀⠀⣄⣶⠻⠙⠈⠏⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢧⠙⠁⠋⣿⣴⢀⠀⠀⠀ ⠀⠀⠀⠁⠛⡛⣿⣿⣨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⣿⣸⠀⠀⠀⠀⠀⠀ ⠀⠁⡿⣴⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢿⠀⠀⠀⠀⠀⠀ ⠀⡟⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⢹⠀⠀⠀⠀⠀ ⠀⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠛⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⠘⠀⠀⠀⠀ ⠀⣇⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢈⠀⣏⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⠀⠀⠀⠀ ⠀⣷⠘⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠛⠈⣦⣶⣶⣶⢠⠁⠛⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⢸⠀⠀⠀⠀ ⠀⠀⣷⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣿⣿⢿⠀⠀⠀⠀⠁⣿⣿⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⣷⠹⠀⠀⠀ ⠀⠀⠀⠀⣆⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣿⣿⣿⠸⠀⠀⠀⡇⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⢻⠀⠀ ⠀⠀⠀⠀⠀⣧⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣾⣶⣿⢸⠀⠀⠀⡇⣿⣶⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⢹⠀ ⠀⠀⠀⠀⠀⡀⣷⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⡇⢰⠀⠀⠀⡇⢸⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠈ ⠀⠀⠀⠀⠀⠀⡀⣷⠹⠀⠀⠀⠀⠀⠀⠀⠀⡄⠹⠁⡜⠀⠀⠀⠀⡀⢱⠉⡎⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⣦⢿⠙⠀⠀⠀⠀⠀⠀⠀⡀⣀⠀⠀⠀⠀⠀⠀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⢰ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⢿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡿⢙⠈⠀⠀⠀⠀⠀⠀⡟⣼⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠻⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⠿⣴⣠⠀⣄⣦⠿⠛⠛⠛⠟⡾⣠⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣤⣶⠷⠿⠛⠛⠛⠛⠛⠛⠛⠿⠶⣴⣤⣠ ⠀⠀ ⠀⠀⠀⠀⠀ ⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⠂⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐ ⠀⠀⠀⠀⠀⣠⠐⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠆⠀ ⠀⢀⠆⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠂⠀⠀⠀ ⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠁⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⣠⠖⠒⢢⡀⠀⢀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⡀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠉⠁⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⠁⢀⣠⣞⣉⣉⡭⠭⠭⠵⠶⡤⢤⣀⠀⠀⠀⠀⡀⠀⠀⠀⠀ ⠀⠀⢸⠁⠀⠀⠀⠀⣀⣀⣀⠤⠤⠔⠒⠒⠊⠻⡕⡄⠀⠀⠀⠀⠀ ⢀⡖⠛⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀ ⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀ ⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎⠀⠀⠀ ⠘⠂⣀⣀⣀⣀⣀⣀⢀⣀⣠⠤⠤⠤⠤⠤⠖⠒⠊⠉⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢳⣦⣀⠀⠀⠀⠀⠀⠀⠀⢞⢦⡀⠀⠀⠀⠘⢷⣱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠑⢞⢲⡀⠀⠀⠀⠀⠀⠀⠈⠺⣐⢀⠀⠀⠈⢞⢶⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠻⣷⣀⠀⠀⠀⠀⠀⠀⠱⣝⣦⣄⠀⠀⠀⠀⠀⠀⠘⠲⡁⡀⠀⠀⠉⢾⢶⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀⠻⣾⡳⡀⠀⠀⠀⠀⠀⠈⠹⡺⡐⡀⠀⠈⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠈⢽⡾⣄⠀⠀⠀⠀⠀⠀⠘⢪⠮⠢⠀⠀⠑⢷⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢵⣄⠀⠀⠀⠀⠀⠀⠀⠙⣷⡄⠀⠀⠀⠀⠀⠀⠈⠻⣷⠀⠀⠈⠳⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣷⣄⠀⠀⠀⠀⠀⠀⠚⢾⣦⡀⠀⠀⠀⠀⢀⣀⣩⣖⣶⡶⣽⣿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠳⣦⡀⠀⠀⠀⠀⠀⠘⢿⣦⡀⠀⠀⠀⠀⠀⠀⠙⢟⢦⣄⢀⣶⡿⣿⡿⠟⠉⣩⠿⠋⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢈⠻⣄⠀⠀⠀⠀⠀⠀⠙⢿⣄⠀⠀⠀⠀⠀⠀⠀⢀⣽⣿⡳⠛⠁⠀⠀⡜⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠁⠜⢲⡀⠀⠀⠀⠀⠀⠀⠻⣷⣤⠀⠀⠀⠀⠀⣸⣿⡏⠀⠀⠀⠀⠀⢻⡿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢂⡙⢦⡀⠀⠀⠀⠀⠀⠘⢿⣷⡀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠈⣿⣿⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣄⠀⠀⠀⠀⠐⣌⢳⣆⠀⠀⠀⠀⠀⠀⠙⠳⢄⣤⣶⣿⡿⠂⠀⠀⠀⠀⠀⠀⣬⣟⣛⣿⣷⣶⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢞⣦⠀⠀⠀⠀⠀⠒⣽⡧⣀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣮⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢻⡷⣀⠀⠀⠀⠀⠘⠪⣺⢦⡀⠀⢀⣾⡏⠀⠀⠀⠀⠀⣦⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⢻⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⢯⣶⡀⠀⠀⠀⠀⠈⠻⣷⣄⢸⣿⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠘⢿⣢⠀⠀⠀⠀⠀⠘⢿⣿⣿⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢷⣄⢀⣀⣀⣀⣀⣸⣿⣀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣷⣻⣺⣿⣿⣿⣻⠃⠀⠐⠀⠀⣿⠀⠀⠀⠀⠀⠀⠿⠀⠀⠀⠀⠀⢀⣶⣶⣿⣧⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢷⣀⠀⠀⠀⠀⣴⣿⣿⠛⠊⢉⠁⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⡤⠀⠀⠀⠀⠀⠀⠀⠓⠛⠛⠿⠿⣻⣷⣄⠒⠒⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢦⡀⠀⢰⣿⡿⠁⢀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣝⣷⡀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠻⣶⣿⡟⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠄⠀⣸⣿⠠⠀⠀⠀⠀⠀⠀⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠼⣂⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠻⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠇⠀⠀⠀⠀⠀⠀⠀⣿⡿⣲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⢵⣅⣾⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠳⣟⣾⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣏⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢨⡾⣿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⢠⣤⣠⣴⣿⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠷⣺⣾⣿⣧⣶⡤⣤⢤⢴⢴⢶⡶⣶⣒⣖⣲⣲⣿⣷⣶⣾⣿⣿⣿⣿⣿⣙⣟⣿⣻⢿⣿⣓⣽⣿⣭⣯⡶⠚⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠒⠋⠛⠻⠳⠟⠿⠛⠛⠛⠛⠛⠙⠙⠙⠋⠋⠙⠚⠒⠉⠈⠉⠉⠙⠋⠉⠙⠍⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡾⠟⠋⢩⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠸⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠙⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠐⠷⠤⠤⠤⠤⣿⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⠟⠛⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠉⠀⠀⠀⠀⠈⠓⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⣀⡤⠤⠤⢄⡀⠀⠈⠙⠒⠦⣤⣀⣠⠖⠋⠉⠓⠦⣀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣿⣧⡞⠁⢀⣀⡀⠀⠙⣆⠀⠀⠀⠀⠀⡼⠁⠀⣠⣤⡀⠀⠙⡟⠿⢶⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⡾⠟⠁⡼⠀⢠⣿⣿⣿⣦⠀⠘⡆⠀⠀⠀⢰⠇⠀⣼⣿⣿⣿⡄⠀⢹⠀⠀⠙⢿⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⡟⠀⠀⠀⡇⠀⢸⣿⣿⣿⣿⠆⠀⡧⠀⠀⠀⠸⡆⠀⣿⣿⣿⣿⡇⠀⢸⠇⠀⠀⠈⣿⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠀⠀⠀⠀⢻⡀⠘⣿⣿⣿⡿⠀⢀⠟⠦⢤⣀⡀⢳⠀⠘⢿⣿⠟⠀⠀⡼⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⡆⠀⠀⠀⠀⢳⡀⠈⠉⠉⠀⢀⡞⠀⠀⠀⠈⠉⠙⠳⣄⠀⠀⠀⣠⣾⣁⣀⣀⣀⣠⣿⣤⣀⠀⠀⠀⠀ ⠀⠀⠀⣀⣼⣿⡄⠀⠀⠀⠀⠙⠲⠤⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⡉⡉⠁⠀⠀⠀⠀⠀⠀⠀⠉⠛⢷⣦⠀⠀ ⠀⣠⣾⠟⠉⠀⠙⢦⡀⠀⠀⠀⠀⣴⠒⠒⠲⠤⠤⠤⠴⠖⠒⠒⠒⠊⠉⢉⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⠀ ⢰⡟⠁⠀⠀⠀⠀⠀⠉⠳⢤⣀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇ ⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⢤⣀⡙⠲⠤⠤⣤⣤⠤⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇ ⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠓⠲⠤⢤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠀ ⠀⠙⢷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣭⣽⣿⠶⠶⠶⣶⣤⣤⣤⣤⣤⣤⣤⣶⠿⠛⠀⠀ ⠀⠀⠀⢉⣙⡛⠿⠷⠶⢶⣶⣶⣶⡶⠶⠶⠾⠿⠟⠛⠛⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⢀⡄⠄⡤⢄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⢰⠁⠄⠀⠀⠉⢢⠀⠀⠀⠀⠀ ⡄⠀⠀⠀⠀⠘⡄⡇⠀⡡⠀⣸⠀⠀⠀⢠⡀ ⠅⠁⠀⠀⠀⠀⠀⠉⠍⠈⠉⠁⠀⠀⠀⠀⢇ ⠀⠃⡀⠀⠀⠀⠀⠀⡃⠀⠀⠀⠀⠀⠀⠀⣸ ⠀⠀⠈⠢⢀⡀⣀⠠⡂⠀⠀⠀⠀⠀⢀⠠⠁ ⠀⠀⠀⠀⠀⠀⠀⠈⡋⠁⠉⠈⠁⠁⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⠁⢁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠐⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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