Caked Up Emoji Combos

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠟⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣳⠖⠳⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡤⠒⠀⠂⡾⠉⠀⠀⠀⠀⠉⢳⡄⣄⡀⠀⠀ ⠀⠀⠀⢸⡥⠀⣀⡼⢁⠀⢰⡄⠀⡄⠀⠀⣧⠀⠙⡆⠀ ⠀⢀⣠⠼⠗⠚⠉⠠⠋⠀⠀⢷⣠⣧⠀⠀⠈⠳⢤⣇⠀ ⠀⣾⣟⠒⠦⣄⠀⠀⠀⣠⡴⠋⠁⢈⠛⢦⣄⣠⣴⣾⣷ ⢀⡟⠙⢶⣤⠬⠷⣼⡏⠉⠉⢩⡍⠹⠦⢤⣿⣤⣨⣿⠈ ⡾⣡⠆⠁⠀⠀⠀⢠⡀⠀⠀⠀⢱⡀⠀⠂⠙⠎⠻⡅⠀ ⢿⠁⠒⣤⠤⣤⣀⠀⢧⠀⠀⠀⣸⠃⠀⠀⠀⡶⣤⣽⠀ ⠈⠳⣴⡇⠀⠀⠈⠛⢦⣄⣠⠾⢿⣄⣀⣠⠾⣡⠞⠁⠀ ⠀⠀⠈⠉⠉⠉⠁⢧⢠⠟⣽⠀⢿⠀⢧⢰⡈⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠐⢫⠏⢸⠁⠀⠈⢳⠘⢧⣙⢦⠀

⠀⠀⠀⢦⣙⢧⠘⢳⠈⠀⠁⢸⠏⢫⠐⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡈⢰⢧⠀⢿⠀⣽⠟⢠⢧⠁⠉⠉⠉⠈⠀⠀ ⠀⠁⠞⣡⠾⣠⣀⣄⢿⠾⣠⣄⢦⠛⠈⠀⠀⡇⣴⠳⠈ ⠀⣽⣤⡶⠀⠀⠀⠃⣸⠀⠀⠀⢧⠀⣀⣤⠤⣤⠒⠁⢿ ⠀⡅⠻⠎⠙⠂⠀⡀⢱⠀⠀⠀⡀⢠⠀⠀⠀⠁⠆⣡⡾ ⠈⣿⣨⣤⣿⢤⠦⠹⡍⢩⠉⠉⡏⣼⠷⠬⣤⢶⠙⡟⢀ ⣷⣾⣴⣠⣄⢦⠛⢈⠁⠋⡴⣠⠀⠀⠀⣄⠦⠒⣟⣾⠀ ⠀⣇⢤⠳⠈⠀⠀⣧⣠⢷⠀⠀⠋⠠⠉⠚⠗⠼⣠⢀⠀ ⠀⡆⠙⠀⣧⠀⠀⡄⠀⡄⢰⠀⢁⡼⣀⠀⡥⢸⠀⠀⠀ ⠀⠀⡀⣄⡄⢳⠉⠀⠀⠀⠀⠉⡾⠂⠀⠒⡤⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⣄⠳⠖⣳⣿⠹⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⢻⠟⣿⣾⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠚⠓⠛⠋⠒⠒⠒⠒⠒⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠒⠒⠒⠒⠛⠐⠀⠀⠂⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡄⠓⠉⡀⣄⠣⠈⠀⠀⡆⠘⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠁⡜⢀⠁⠉⠋⡔⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠣⠀⠀⢆⠘⠀⠀⣄⠳⠀⠀⠀⠀⠀⠀⠋⢠⠀⠀⡜⠀⠃⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⣇⠀⠀⠀⠀⢧⠀⠀⠀⠀⠞⢀⠀⠀⡎⢀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⢺⠀⠀⢣⠈⠀⠀⡇⢸⠀⠀⠇⢸⠁⠋⡜⢀⠀⠀⡅⠙⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠖⡤⢀⠋⢿⣻⣟⢿⣿⠛⠛⡼⠀⠀⠀⠉⢯⣛⢛⣍⠯⠓⠈⡆⣶⣰⠀⠀⠀⠀⠀⡀⣒⣒⠿⠻⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠋⡴⢀⠀⠋⣿⣾⣶⣴⣤⣦⣶⣷⣿⣿⠻⠟⣿⣿⣾⣶⣶⣶⣷⢿⡻⢬⠑⠈⠀⠀⠀⠀⠀⠀⠀⠀⣿⣄⣷⠿⠙⠀⠀⠀ ⠀⠀⠀⠀⠋⡾⢹⠀⠁⡟⣼⢀⠀⠀⠀⠀⠀⠀⠀⣏⣿⣿⣴⣠⠀⠀⠀⠀⠀⠁⡈⣤⣿⢿⣻⠻⠙⠀⠀⠀⠀⠀⡟⣠⠀⠀⣧⣀⢳⠀⠀ ⠀⠀⠀⡇⣼⠃⣿⠿⣿⡾⠐⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⢠⠀⠀⠀⠀⠀⠀⠀⡄⢿⠘⡀⣤⣦⣶⣶⣶⠿⠻⠛⡿⣛⠉⠉⠈⠀⠸⡄⠻⠀ ⠀⠀⠀⡆⢿⣿⣾⣴⣼⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⡧⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣀⣧⠈⠀⠋⣿⢸ ⠀⠀⠀⠀⣆⣸⠀⠀⢤⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⢘⡆⠀⠀⠀⠀⠀⠀⠀⠀⣀⣷⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠿⣼⣠⣯⢸ ⠀⠀⠀⠀⠀⣆⠙⠀⠀⣆⢸⠈⠀⠀⠀⠀⠀⠀⠀⡤⢽⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠛⡶⢠⠀⠁⡼⠀ ⠀⠀⠀⠀⠋⡿⣿⢿⠿⠙⣏⢻⠉⡉⠈⠀⠀⠀⠀⠁⡏⢿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⠰⠀⠀⠀⠀⠀⠀⠉⠋⠖⣶⣀⠀⠀⠁⡼⠀⠀ ⠀⠀⠀⠏⣴⣎⢠⠀⣀⣦⣿⣿⣈⢤⠶⠶⡖⠿⠾⣶⣴⣷⣶⠻⠈⠀⠂⠀⠀⠁⠿⣽⣄⠤⠤⠲⠶⠼⡤⣤⣤⣶⢽⠉⠀⠀⠀⡟⠀⠀⠀ ⠇⢸⠀⡇⡞⢁⠙⠀⠀⠀⡘⣿⢸⠀⠀⠀⠀⡏⠻⠻⠟⡿⠹⡋⣿⣿⢿⡟⠿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠙⠀⠀⠈⡀⣦⠹⠀⠃⣰⠀⠀⠀ ⡄⣿⠻⡏⢫⣿⣿⢹⠟⣼⣤⣤⢿⠙⠚⠵⣉⣀⠲⢀⢋⡿⠱⠋⡴⣉⢟⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⡻⣛⣍⢾⠉⠀⡉⢿⣻⡿⢠⠀⠀ ⠀⣆⣿⣻⣯⣀⢀⠀⠀⠀⠉⠀⡀⣦⣷⠻⠛⣈⢄⡡⣜⣀⢁⠋⡿⣿⣿⣾⣴⢀⠀⠀⠀⠀⡉⣾⣴⣠⣀⣇⣿⣿⡿⣿⣿⣿⣿⣴⠀⠀⠀ ⠀⠀⡄⣦⠛⠛⠻⠈⠀⠀⡀⢷⠘⠀⡀⣷⣴⣷⠿⡟⠟⠿⣿⣿⣿⣿⣴⠀⠀⠀⠀⠀⠋⣶⣠⢁⢛⠖⡴⣤⣤⣈⣁⣋⣟⣾⣠⠀⠀⠀⠀ ⠀⠀⠀⠀⢳⡘⣄⠦⠷⠹⠈⠀⢧⠈⠀⡀⠀⡀⣷⣿⣠⠀⣇⣿⣿⣸⢀⠀⠀⠀⠁⡾⣠⢀⠀⣀⠁⢉⠋⠾⠶⣾⣤⣠⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡼⢣⠈⠀⠀⣄⢿⠹⠀⢳⠀⠀⠀⠀⡅⣿⠀⠀⠀⣷⣿⠀⠀⠀⠀⠃⣾⠀⠀⠉⠿⠾⡮⣒⠤⠤⠇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢧⠀⢀⠀⠀⡄⣦⣷⢾⡜⠀⠀⠀⠀⠀⣧⠀⠀⠀⡄⣿⠘⠀⠀⠀⡇⢀⠀⠛⣴⢍⣠⠀⠀⠁⠊⣰⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⢣⠈⠀⠀⠀⠀⡄⢸⠀⠀⠀⠀⠀⠀⡆⢸⠀⠀⠀⡄⢷⠈⠀⠀⡄⠀⡿⣴⣀⢀⠀⠀⡀⣀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⠤⠒⠒⠒⠖⣽⢻⠛⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠄⣤⢠⠀⠃⣟⢠⠀⠀⠀⠀⠀⠀⠀⠁⡜⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣝⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡏⣼⠲⠒⠁⠉⠉⠈⠒⠴⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⠶⣿⠨⠀⠀⠀⠀⠀⠁⠉⠏⠶⣷⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⠹⠉⠹⠟⣾⣸⠋⣿⣿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣹⢉⣿⠛⣯⣡⣟⣿⣿⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣸⣦⣾⣷⡽⣶⣥⣿⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡅⣿⣿⢿⣿⣿⣿⣿⣴⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣤⣤⣴⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠛⢿⣧⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⡿⠃⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⣿⣿⣧⣤⣀⠀⠀⠀⠀⠀⠀⠙⠻⢿⢶⣶⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠿⠟⠻⠛⠟⠻⠛⠟⠻⠛⠟⠻⠛⠿⠻⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣴⣶⢶⠿⠛⠉⠀⠀⠀⠀⠀⠀⣀⣤⣼⣿⣿⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣀⠀⠀⠀⠀⠈⠁⠉⠙⣿⣦⡀⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⢠⣾⡿⠋⠁⠈⠁⠀⠀⠀⠀⣀⣠⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠋⠀⠀⠀⣀⣠⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⢿⣻⣿⣿⣿⣿⢷⣹⢞⣻⢟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣅⣀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⣈⣡⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡟⣿⡹⢧⣛⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⡿⣏⣯⣿⣿⣿⣿⣿⢯⣳⢏⡾⣝⡾⣹⢶⣫⡽⣫⣟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣼⣿⣿⣄⠀⠀⠀⠀⠀⠰⣿⡿⠀⠀⠀⠀⠀⢀⣴⣿⣿⣦⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡻⣟⡽⣣⣟⢮⡽⢶⣛⣯⢽⣚⢿⣿⣿⣿⣿⣾⣝⢿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⡿⣏⣷⢻⣾⣿⣿⣿⠿⠯⠷⢯⣾⣝⣾⣱⣯⣳⣳⡽⣳⢮⢷⡝⣮⢟⣽⣻⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡟⣿⡹⢧⣛⡾⣝⡾⣱⣟⣼⣏⣾⣏⣷⣺⠽⠾⠯⠟⢿⣿⣿⣿⣿⢮⣝⡿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣟⣳⡽⣺⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠙⠛⠒⠛⠓⠿⠽⠯⠿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠽⢧⠟⠚⠛⠓⠛⠋⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣮⢳⣟⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣟⢮⣳⣽⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠻⢟⣿⢻⡟⣿⠻⠟⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣳⢮⣻⢿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣟⡮⣟⣼⣿⣿⣿⣿⣅⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⡴⣦⢤⡤⣤⣤⢤⣬⢷⣫⣽⢻⡤⣤⢤⡤⣤⡤⣤⡤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⢿⣿⣿⣿⣯⣷⢫⣟⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡝⣾⣹⣿⣿⣿⣿⣿⣹⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡺⣟⡽⣺⡵⣏⢿⡼⣳⣭⢻⡼⣳⣝⣮⢏⣷⢫⣯⠽⣖⣻⡵⣏⡷⣹⢯⣗⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢟⣮⢟⣿⣿⣿⣿⣯⣷⢫⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣯⡽⢾⣿⣿⣿⣿⣿⢲⠋⠀⠀⢀⣼⣳⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢿⣱⠿⣜⣳⢷⣹⡞⣧⢟⡵⣞⢯⣳⡏⠉⠉⣟⡮⣟⡼⢯⡽⣖⣻⡼⣝⡧⢿⡼⣹⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡗⣦⡀⠀⠀⢻⢾⣹⢿⣿⣿⣿⣿⣳⡽⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⣹⣿⣿⣿⣿⡿⣎⡿⣆⡀⣰⢿⣇⣷⢾⣉⡷⣀⠀⠀⠀⠀⢀⣆⡀⠀⠀⠀⠀⠀⣸⣹⢏⡷⢿⣉⡷⣏⣶⢿⡹⣾⢹⡾⣇⣏⡇⠀⠀⣏⣷⢏⣹⢿⣸⡹⣶⢿⣸⡹⣇⡿⣉⣷⢏⡆⠀⠀⠀⠀⠀⠀⣀⣆⠀⠀⠀⠀⣰⣾⢿⣸⡹⢷⣷⣀⣀⣸⣏⢷⣏⣿⣿⣿⣿⣷⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⣻⣿⣿⣿⣿⣏⠷⣽⢳⡻⣭⢷⡺⣵⣫⢷⣹⢏⡷⣦⣀⣴⣿⣿⣿⠆⠀⠀⠀⠀⣟⡧⣿⡹⣏⡷⣽⢺⡵⣫⢷⡹⣏⡾⣝⣮⡇⠀⠀⣟⣮⢯⡳⣏⡷⣝⣧⢯⣳⡝⣧⡟⡽⣎⡿⡇⠀⠀⠀⠀⠀⢸⣿⣿⣷⣤⡶⢿⣹⢮⡗⣯⢽⡻⣜⣳⢯⡳⢯⣞⡽⣞⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⣻⣿⣿⣿⣷⣾⣿⣷⣫⢗⣻⢮⣽⢣⣟⢮⡗⣯⣳⣯⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⣟⣳⢧⡟⣵⡻⣼⢻⣼⣛⢮⡟⣵⣛⣞⡶⡇⠀⠀⡿⣼⢳⣏⡷⣽⢺⣼⢳⢧⣻⢵⣫⢟⣵⣛⡇⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣯⡳⣏⡾⣝⡾⣹⣝⡮⢷⡻⣽⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡷⣻⣿⣿⣿⣿⣿⣿⣿⡽⣾⣹⡾⣜⣻⡼⣫⣞⣷⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⢿⡽⣺⡝⣧⡟⣵⡻⣖⢯⣻⢼⡳⣝⣮⡽⡇⠀⠀⣟⣧⠿⣜⣳⣭⢷⣫⢟⡮⣗⡯⢾⣹⢮⣽⠇⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣵⢻⡼⣳⢏⡾⣽⣳⣏⣿⣿⣿⣿⣿⣿⣿⣿⡽⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡱⣏⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢷⡹⣧⣿⣿⣿⣿⣿⡥⣤⢤⡤⣄⠀⠀⠀⠀⠀⢿⣳⡽⣣⡟⣧⢟⡾⣹⢮⣗⢻⡝⡶⣽⣣⢤⡤⡿⣜⡯⣏⡷⢮⡗⣯⠾⣝⡾⣹⢏⡷⣫⠎⠀⠀⠀⠀⢀⣠⣤⢤⡤⣤⣹⣿⣿⣿⣿⣿⡼⣳⢯⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⢻⡵⣻⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡷⣫⠷⣝⡾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣭⣷⣿⣿⣿⣿⡿⢯⣝⡧⣟⡽⣹⣇⠀⠀⠀⠀⠀⠙⠳⢯⡽⣞⣽⣺⣭⢷⣚⣯⠾⣝⣧⢯⣏⢷⣏⣷⣹⢧⣻⡽⣚⡷⣻⡝⡾⣭⠿⠚⠁⠀⠀⠀⠀⢀⣾⢻⡼⣏⡾⣳⣝⣻⢿⣿⣿⣿⣿⣷⣯⣿⣿⣿⣿⣿⣿⣿⣿⢟⣼⡳⢯⡽⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⢳⣝⡯⣽⢺⡵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢯⣝⡷⣺⣝⣮⢽⡳⣞⡧⡀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠋⠈⠉⠉⠉⠉⠉⠉⣱⣻⢮⡏⠈⠉⠉⠉⠉⠉⠉⠁⠉⠉⠀⠀⠀⠀⠀⠀⠀⢠⡾⣭⢷⡻⣼⢳⣝⡮⢷⣟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⢺⡵⣻⢭⣛⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⡿⣏⠿⣜⣳⡽⣳⢻⣿⣿⣿⣿⢯⢿⡿⣿⣿⢿⡿⢯⣝⢯⡞⣵⣏⡾⣼⢳⣏⢷⣹⠷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣱⢯⡾⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡹⢧⣯⢳⣏⠿⣼⡹⣏⡾⣵⢫⣟⡿⣿⣿⣿⡿⣟⣿⣿⣿⣿⣯⡳⣽⢣⡿⣹⣎⣿⣿⣿⣿⣷⣄⠀⠀⠀ ⠀⠀⠀⠀⣴⣿⣿⣿⣿⡿⣹⢞⣯⢻⣜⣳⡽⣻⣿⣿⣿⣿⣫⢾⣹⢳⡮⣟⣼⣛⣮⢟⣼⡳⣞⡵⢯⣳⢞⡯⣞⡽⣳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⢾⣱⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⣮⡽⣻⣜⢯⡞⣯⣳⣽⣣⠿⣜⡿⣼⣹⢳⡞⣼⡳⡽⣾⣿⣿⣿⣷⣏⢷⣫⢷⡳⣝⡮⣟⣿⣿⣿⣿⣦⡀⠀ ⣦⡀⢀⣾⣿⣿⣿⣿⢯⣳⢏⡿⣜⡯⢾⣱⣻⣽⣿⣿⣿⠓⠙⠊⠙⠃⠛⠘⣶⡻⣼⢫⣶⢻⡵⣻⡭⣗⣯⢳⣏⢷⣳⢻⣦⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡼⣏⡷⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣞⣳⡽⣣⠿⣵⢞⡯⣞⣳⡽⣞⣧⢿⣹⢞⡵⠋⠓⠙⠃⠛⠑⠛⣿⣿⣿⣿⢾⣹⢮⡗⣯⣳⠽⣞⡽⣿⣿⣿⣿⣷⡀ ⣿⣿⣾⣿⣿⣿⣿⣿⣷⣿⣾⣽⣾⣽⣯⣷⣷⣿⣿⣿⣿⣤⣤⣤⣤⣤⣤⣤⣷⣿⣷⣧⣬⣽⣷⣷⣿⣾⣾⣿⣾⣿⣾⣷⣿⣾⣯⣿⣽⣯⣷⣯⣿⣾⣯⣿⣽⣯⣿⣽⣷⣿⣾⣽⣯⣿⣽⣯⣿⣽⣯⣿⣽⣯⣿⣽⣷⣾⣷⣿⣽⣿⣾⣿⣾⣽⣶⣿⣭⣤⣽⣷⣯⣷⣤⣤⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣾⣷⣿⣷⣯⣿⣽⣾⣽⣿⣿⣿⣿⣷

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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣝⢯⡝⢯⣏⢯⢿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣏⡻⢏⠻⡿⣿⣿⣿⣿⣿⣿⡻⢿⣿⣿⣿⢳⣏⢾⣹⢳⣎⢯⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠉⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⡄⠀⠙⢮⡳⣎⠷⣭⢳⣎⠷⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡳⣭⢻⣜⡳⣎⡟⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡿⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣳⢭⡳⣎⡗⣧⢻⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠉⡾⣱⠯⣜⢧⣻⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢀⣤⣦⣤⣤⣀⣀⡀⠀⠀⠀⢀⠀⢀⣠⣴⣿⣿⣿⣶⣤⣀⠀⠀⠀⣷⡹⣞⠽⣮⣽⣿⣿⣿⣿⣿⣯ ⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣦⡜⣧⢳⣭⣛⠶⣿⣿⣿⣿⣿⣿⡷ ⣿⣿⣿⣿⣿⣿⣿⣿⣇⡴⢻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣧⢳⢏⡶⣭⢻⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣈⠸⣎⢷⣉⢷⣿⣿⣿⣿⣿⣿⡿ ⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠿⣿⣿⣷⣿⣿⡼⣹⠮⣝⢾⣿⣿⣿⣿⣿⣿⣟ ⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⡟⣿⣿⢛⡉⠀⠀⠈⠙⠻⢿⣿⢫⣿⣟⠟⠋⠁⠀⢀⣠⣴⣮⣹⣯⣿⣿⡇⣻⠼⣙⢮⣿⣿⣿⣿⣿⣿⣯ ⣿⣿⣿⣿⣿⣿⣿⣿⢻⢸⣿⣳⣿⣿⣿⡿⣻⡖⠠⣤⡀⣀⢰⣿⣿⡏⠆⡤⢠⡖⡈⣹⣷⣝⣻⣿⣿⣞⠇⠝⣞⡹⠞⣿⣿⣿⣿⣿⣿⣳ ⣿⣿⣿⣿⣿⣿⣿⣷⣨⡏⣵⣿⣿⣿⣯⣵⣿⣭⣬⣿⣻⣯⣾⣿⣿⡷⣷⣴⣿⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⠟⡤⣏⢷⣿⣿⣿⣿⣿⣿⣳ ⣿⣿⣿⣿⣻⡞⣿⢁⠞⣷⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⠘⠈⡇⡽⣺⣿⣿⣿⣿⣿⣿⠷ ⣿⣿⣿⣿⣿⣿⣽⡎⠠⠘⢸⣟⢿⣿⣿⣿⣿⣿⣿⡿⢿⣿⢿⠟⠿⡿⠛⣿⡿⣿⣿⣿⣿⣿⣿⢏⣾⡿⠘⢠⢇⡟⢸⣿⣿⣿⣿⣿⣿⡹ ⣿⣿⣿⣿⣷⢸⡿⣇⡁⡀⠚⣿⣿⣝⣿⣿⣿⣿⣿⣵⣿⣿⡂⠈⢕⡂⡁⣸⣿⣮⢿⣿⣿⣿⢳⣿⣿⡧⢤⡟⢼⡸⣿⣿⣿⣿⣿⣿⣷⡝ ⣿⣿⣿⣿⣿⣾⣷⠸⣷⢹⣦⢿⣿⣿⢿⣿⣿⣿⣻⠿⠋⠁⠀⠈⠀⠀⠀⠀⠈⠉⠓⣹⣿⣿⣾⣿⣿⡇⠿⣨⢇⡳⣿⣿⣿⣿⣿⣿⣿⡹ ⣿⣿⣿⣿⣿⣿⣾⡀⣿⣷⡍⣾⣿⣿⡞⣿⣿⣵⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡏⣿⣿⣿⡇⢄⡳⢎⡅⣿⣿⣿⣿⣿⣿⣯⢳ ⣿⣿⣿⣿⡷⣿⡿⣱⣿⡿⡼⢸⣿⣿⣧⢻⣿⣿⠁⣠⣀⣄⣠⣤⣦⣦⣤⣤⣶⣶⣦⣈⣿⣟⣿⣿⣿⢉⠆⢸⡹⣼⣿⣿⣿⣿⣿⣿⡜⣯ ⣿⣿⣿⣿⣿⣿⡇⣽⣿⡟⡵⠎⣿⣿⣿⣎⢿⣿⣾⣿⣿⣿⣿⣿⣛⣛⣋⣽⣿⣿⣿⣿⡿⣽⣿⣿⡿⣈⣆⠱⣣⢿⣿⣿⣿⣏⣿⣿⡝⣾ ⣿⣿⣿⣿⣿⣿⡿⣿⣿⡽⣭⢻⢈⡻⣿⣿⡽⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⠿⣡⢣⣿⣴⢩⢻⣿⣿⣿⣿⣿⣿⡝⣾ ⣿⣿⣿⣿⣿⣿⡃⣿⣿⡳⢮⢹⡇⡚⢬⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢡⠲⣁⣾⣿⡏⣣⣿⣿⣿⣿⣿⣿⡇⣝⣾ ⣿⣿⣿⣿⣿⣿⣷⣿⣿⣓⢯⢸⣇⡙⢦⡙⡀⡛⢿⣿⣿⣿⣿⣿⣿⠸⣿⣿⣿⣿⣿⡿⢩⣐⠣⡝⣼⣿⣿⠿⢡⣿⣿⣿⣿⢸⣿⣧⢏⣾ ⣿⣿⣿⣿⣿⣿⢹⣿⡷⣭⠞⣾⢻⣰⣶⣝⠰⡈⢥⡙⠿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⠴⠃⠊⠑⠈⠋⢁⠠⢀⠠⣿⣿⣿⣿⣿⣿⣟⠾⣿ ⣿⣿⣿⣿⣿⣿⣼⣿⣟⠶⡋⣽⣾⡟⠛⠛⢃⠑⠀⠙⠂⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⢂⠁⢂⠐⠂⠄⣿⣿⣿⡟⣿⣿⢸⣫⣿ ⣿⣿⣿⣿⣿⡟⣿⣿⣯⡝⢧⣿⣿⡗⠠⠈⠄⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠄⠀⡀⠀⠈⠄⡨⢀⠊⡐⠀⠂⠄⡉⠙⠻⢿⠧⣳⣿ ⣿⣿⣿⣿⣿⣇⣿⣿⡗⣾⡙⣿⡿⠟⠀⠡⢈⠄⠂⠄⠀⠀⠈⠀⠀⠁⠀⡀⠀⠀⠀⡀⠀⢀⠁⠒⡀⢂⠐⠠⠁⠌⡐⠠⢁⠢⢀⠂⠄⡉ ⣿⣿⣿⣿⣿⣏⣿⣿⣹⠶⠉⠁⡀⠰⠀⠁⠆⡈⠰⠈⡀⠀⠀⠆⠁⠀⠀⠀⠀⠈⠀⠀⠀⢀⠈⡰⠰⠈⡀⠱⠈⠰⠀⠁⠆⠰⢀⠈⠰⢀ ⣿⣿⣿⣿⣿⢸⠿⠋⢁⠠⠐⠠⠐⡁⠂⢁⠂⠄⡁⠒⠠⢁⠀⠀⠀⠄⠈⠀⠀⠂⡀⠄⡈⠄⠂⠄⡁⢂⠄⡁⠂⡐⠀⠀⠌⡁⠂⠌⡐⠠ ⣿⣿⣿⡿⠛⠀⠄⡈⠄⢂⠡⠘⠠⠐⠀⠠⢈⠐⠠⢁⠒⡀⢂⠐⠠⢀⡐⠈⠄⡡⠐⡀⠐⡈⠌⡐⠐⡀⠂⠔⠠⠀⠀⠄⠀⠀⠈⠀⠀⠁ ⡿⢋⠡⢀⠂⣁⠢⠐⡈⠄⠂⠁⠂⠀⡀⠀⠂⠌⡁⢂⠐⠠⠂⠄⡁⠂⠄⡁⠒⠠⠁⠄⡡⠐⣀⠂⢡⠀⠃⡀⢂⠀⠀⠠⠀⠁⢀⠈⠀⠀ ⠀⠄⠂⡄⠂⠄⠂⠁⠀⠀⠀⠂⠀⠁⠀⠀⢈⠐⡀⠆⡈⠡⢈⠐⠠⢁⠒⡈⠄⠡⠈⢔⣀⣡⣤⣬⣤⣬⣤⣤⣤⣬⣤⣤⣤⣤⣤⣤⣄⣁ ⣬⣤⣷⣤⣵⣶⣶⣶⣶⣶⣶⣶⣦⣤⣀⡁⢀⠂⡐⠄⢂⠁⡂⠌⡁⢂⣤⣴⣼⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡐⠈⠄⢂⣰⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⠡⠈⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⠂⠤⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠃⠄⠨⠀⠿⠛⠛⡛⠛⠛⠛⠛⠻⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠟⢿⣿⣿⣿⠿⠿⠿⠟⠛⡛⠛⠛⠛⠛⠛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛ ⠀⠀⠀⠈⠉⠻⢿⣦⣔⡀⠀⠙⢳⠆⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡄⠀⠀⠀⠀⠀⠀⠈⠻⢿⣷⣦⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⠟⠋⠁⠉⠉⠛⠻⠻⠛⠉⠁⠀⠀⠀⠀⠀⠉⠛⡿⠿⣿⣿⣿⡿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠉⢻⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠐⠪⠉⢸⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡏⠀⢠⣦⣀⣀⣀⠀⠆⠀⣠⣤⣤⣴⣾⣷⣄⠀⠀⠘⣆⠀⠀⣾⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⠠⠛⣟⣿⣛⣿⢧⠀⠀⢈⣻⢿⡯⢭⣄⣄⠀⠀⠀⢸⣀⠔⡛⣦⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣼⠀⠀⠣⠴⠿⣣⢕⠇⠀⠘⠃⠸⠖⠟⠓⠾⠁⠀⠀⠀⠏⢸⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠗⣿⣿⠛⠛⠛⠛⠛⣻⣿⡿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠉⢧⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠃⠀⠊⣰⠋⣿⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣹⣧⠈⢇⠀⠀⠀⠀⠸⣄⣀⣤⡆⠀⠀⠀⠀⠀⠀⡼⠁⠀⣀⣰⠏⠀⣿⠀⠀⠀⠀⠀⠈⢻⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣇⢸⠀⠀⢀⣤⣿⣾⣿⣿⣿⣶⣤⡀⠀⠀⠀⡇⠀⠀⡟⢹⠀⠀⣿⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠸⡀⠀⣾⣿⣿⣿⡿⠿⠿⠿⣿⣿⡀⠀⢠⠇⠀⠀⡇⢸⠀⠀⣿⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⡄⢣⠀⠋⠀⠀⠐⠤⠤⠀⠀⠀⠉⠓⠀⡜⠀⢀⣼⠟⢸⡆⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠿⣿⡄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⣠⣿⠇⠀⠸⡇⠀⡟⠀⠀⠀⠀⠀⠀⣴⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡆⢿⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⡽⠃⠀⠀⠀⡇⠀⣧⠀⠀⠀⠀⠀⠀⣹⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⢸⡀⠘⣆⠀⠀⠀⠈⠀⠀⠀⠀⠀⢠⠎⡼⠁⠀⠀⠀⠀⠻⢤⣍⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀ ⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣹⣿⣤⠞⣇⣀⣈⣫⣒⣒⣒⣒⣒⣚⣉⣉⣁⣸⣁⣀⣀⣀⣀⣀⣀⣀⣈⣙⣟⡒⣄⣀⣠⣿⣟⣀⣀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠛⢿⣧⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⡿⠃⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⣿⣿⣧⣤⣀⠀⠀⠀⠀⠀⠀⠙⠻⢿⢶⣶⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠿⠟⠻⠛⠟⠻⠛⠟⠻⠛⠟⠻⠛⠿⠻⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣴⣶⢶⠿⠛⠉⠀⠀⠀⠀⠀⠀⣀⣤⣼⣿⣿⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣀⠀⠀⠀⠀⠈⠁⠉⠙⣿⣦⡀⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⢠⣾⡿⠋⠁⠈⠁⠀⠀⠀⠀⣀⣠⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠋⠀⠀⠀⣀⣠⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⢿⣻⣿⣿⣿⣿⢷⣹⢞⣻⢟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣅⣀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⣈⣡⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡟⣿⡹⢧⣛⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⡿⣏⣯⣿⣿⣿⣿⣿⢯⣳⢏⡾⣝⡾⣹⢶⣫⡽⣫⣟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣼⣿⣿⣄⠀⠀⠀⠀⠀⠰⣿⡿⠀⠀⠀⠀⠀⢀⣴⣿⣿⣦⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡻⣟⡽⣣⣟⢮⡽⢶⣛⣯⢽⣚⢿⣿⣿⣿⣿⣾⣝⢿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⡿⣏⣷⢻⣾⣿⣿⣿⠿⠯⠷⢯⣾⣝⣾⣱⣯⣳⣳⡽⣳⢮⢷⡝⣮⢟⣽⣻⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡟⣿⡹⢧⣛⡾⣝⡾⣱⣟⣼⣏⣾⣏⣷⣺⠽⠾⠯⠟⢿⣿⣿⣿⣿⢮⣝⡿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣟⣳⡽⣺⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠙⠛⠒⠛⠓⠿⠽⠯⠿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠽⢧⠟⠚⠛⠓⠛⠋⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣮⢳⣟⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣟⢮⣳⣽⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠻⢟⣿⢻⡟⣿⠻⠟⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣳⢮⣻⢿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣟⡮⣟⣼⣿⣿⣿⣿⣅⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⡴⣦⢤⡤⣤⣤⢤⣬⢷⣫⣽⢻⡤⣤⢤⡤⣤⡤⣤⡤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⢿⣿⣿⣿⣯⣷⢫⣟⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡝⣾⣹⣿⣿⣿⣿⣿⣹⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡺⣟⡽⣺⡵⣏⢿⡼⣳⣭⢻⡼⣳⣝⣮⢏⣷⢫⣯⠽⣖⣻⡵⣏⡷⣹⢯⣗⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢟⣮⢟⣿⣿⣿⣿⣯⣷⢫⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣯⡽⢾⣿⣿⣿⣿⣿⢲⠋⠀⠀⢀⣼⣳⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢿⣱⠿⣜⣳⢷⣹⡞⣧⢟⡵⣞⢯⣳⡏⠉⠉⣟⡮⣟⡼⢯⡽⣖⣻⡼⣝⡧⢿⡼⣹⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡗⣦⡀⠀⠀⢻⢾⣹⢿⣿⣿⣿⣿⣳⡽⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⣹⣿⣿⣿⣿⡿⣎⡿⣆⡀⣰⢿⣇⣷⢾⣉⡷⣀⠀⠀⠀⠀⢀⣆⡀⠀⠀⠀⠀⠀⣸⣹⢏⡷⢿⣉⡷⣏⣶⢿⡹⣾⢹⡾⣇⣏⡇⠀⠀⣏⣷⢏⣹⢿⣸⡹⣶⢿⣸⡹⣇⡿⣉⣷⢏⡆⠀⠀⠀⠀⠀⠀⣀⣆⠀⠀⠀⠀⣰⣾⢿⣸⡹⢷⣷⣀⣀⣸⣏⢷⣏⣿⣿⣿⣿⣷⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⣻⣿⣿⣿⣿⣏⠷⣽⢳⡻⣭⢷⡺⣵⣫⢷⣹⢏⡷⣦⣀⣴⣿⣿⣿⠆⠀⠀⠀⠀⣟⡧⣿⡹⣏⡷⣽⢺⡵⣫⢷⡹⣏⡾⣝⣮⡇⠀⠀⣟⣮⢯⡳⣏⡷⣝⣧⢯⣳⡝⣧⡟⡽⣎⡿⡇⠀⠀⠀⠀⠀⢸⣿⣿⣷⣤⡶⢿⣹⢮⡗⣯⢽⡻⣜⣳⢯⡳⢯⣞⡽⣞⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⣻⣿⣿⣿⣷⣾⣿⣷⣫⢗⣻⢮⣽⢣⣟⢮⡗⣯⣳⣯⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⣟⣳⢧⡟⣵⡻⣼⢻⣼⣛⢮⡟⣵⣛⣞⡶⡇⠀⠀⡿⣼⢳⣏⡷⣽⢺⣼⢳⢧⣻⢵⣫⢟⣵⣛⡇⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣯⡳⣏⡾⣝⡾⣹⣝⡮⢷⡻⣽⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡷⣻⣿⣿⣿⣿⣿⣿⣿⡽⣾⣹⡾⣜⣻⡼⣫⣞⣷⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⢿⡽⣺⡝⣧⡟⣵⡻⣖⢯⣻⢼⡳⣝⣮⡽⡇⠀⠀⣟⣧⠿⣜⣳⣭⢷⣫⢟⡮⣗⡯⢾⣹⢮⣽⠇⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣵⢻⡼⣳⢏⡾⣽⣳⣏⣿⣿⣿⣿⣿⣿⣿⣿⡽⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡱⣏⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢷⡹⣧⣿⣿⣿⣿⣿⡥⣤⢤⡤⣄⠀⠀⠀⠀⠀⢿⣳⡽⣣⡟⣧⢟⡾⣹⢮⣗⢻⡝⡶⣽⣣⢤⡤⡿⣜⡯⣏⡷⢮⡗⣯⠾⣝⡾⣹⢏⡷⣫⠎⠀⠀⠀⠀⢀⣠⣤⢤⡤⣤⣹⣿⣿⣿⣿⣿⡼⣳⢯⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⢻⡵⣻⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡷⣫⠷⣝⡾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣭⣷⣿⣿⣿⣿⡿⢯⣝⡧⣟⡽⣹⣇⠀⠀⠀⠀⠀⠙⠳⢯⡽⣞⣽⣺⣭⢷⣚⣯⠾⣝⣧⢯⣏⢷⣏⣷⣹⢧⣻⡽⣚⡷⣻⡝⡾⣭⠿⠚⠁⠀⠀⠀⠀⢀⣾⢻⡼⣏⡾⣳⣝⣻⢿⣿⣿⣿⣿⣷⣯⣿⣿⣿⣿⣿⣿⣿⣿⢟⣼⡳⢯⡽⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⢳⣝⡯⣽⢺⡵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢯⣝⡷⣺⣝⣮⢽⡳⣞⡧⡀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠋⠈⠉⠉⠉⠉⠉⠉⣱⣻⢮⡏⠈⠉⠉⠉⠉⠉⠉⠁⠉⠉⠀⠀⠀⠀⠀⠀⠀⢠⡾⣭⢷⡻⣼⢳⣝⡮⢷⣟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⢺⡵⣻⢭⣛⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⡿⣏⠿⣜⣳⡽⣳⢻⣿⣿⣿⣿⢯⢿⡿⣿⣿⢿⡿⢯⣝⢯⡞⣵⣏⡾⣼⢳⣏⢷⣹⠷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣱⢯⡾⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡹⢧⣯⢳⣏⠿⣼⡹⣏⡾⣵⢫⣟⡿⣿⣿⣿⡿⣟⣿⣿⣿⣿⣯⡳⣽⢣⡿⣹⣎⣿⣿⣿⣿⣷⣄⠀⠀⠀ ⠀⠀⠀⠀⣴⣿⣿⣿⣿⡿⣹⢞⣯⢻⣜⣳⡽⣻⣿⣿⣿⣿⣫⢾⣹⢳⡮⣟⣼⣛⣮⢟⣼⡳⣞⡵⢯⣳⢞⡯⣞⡽⣳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⢾⣱⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⣮⡽⣻⣜⢯⡞⣯⣳⣽⣣⠿⣜⡿⣼⣹⢳⡞⣼⡳⡽⣾⣿⣿⣿⣷⣏⢷⣫⢷⡳⣝⡮⣟⣿⣿⣿⣿⣦⡀⠀ ⣦⡀⢀⣾⣿⣿⣿⣿⢯⣳⢏⡿⣜⡯⢾⣱⣻⣽⣿⣿⣿⠓⠙⠊⠙⠃⠛⠘⣶⡻⣼⢫⣶⢻⡵⣻⡭⣗⣯⢳⣏⢷⣳⢻⣦⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡼⣏⡷⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣞⣳⡽⣣⠿⣵⢞⡯⣞⣳⡽⣞⣧⢿⣹⢞⡵⠋⠓⠙⠃⠛⠑⠛⣿⣿⣿⣿⢾⣹⢮⡗⣯⣳⠽⣞⡽⣿⣿⣿⣿⣷⡀ ⣿⣿⣾⣿⣿⣿⣿⣿⣷⣿⣾⣽⣾⣽⣯⣷⣷⣿⣿⣿⣿⣤⣤⣤⣤⣤⣤⣤⣷⣿⣷⣧⣬⣽⣷⣷⣿⣾⣾⣿⣾⣿⣾⣷⣿⣾⣯⣿⣽⣯⣷⣯⣿⣾⣯⣿⣽⣯⣿⣽⣷⣿⣾⣽⣯⣿⣽⣯⣿⣽⣯⣿⣽⣯⣿⣽⣷⣾⣷⣿⣽⣿⣾⣿⣾⣽⣶⣿⣭⣤⣽⣷⣯⣷⣤⣤⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣾⣷⣿⣷⣯⣿⣽⣾⣽⣿⣿⣿⣿⣷;༂

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣴⣾⣶⣶⣤⣄⣄⣤⣶⣾⣿⣿⣿⣿⣿⣶⣤⢀⣀⠀⠀⠀⠀ ⡈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢸⣿⣿⣶⡄⠀ ⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣯⣕⣶⡇⠀ ⢰⣿⡟⠙⠿⠿⠿⣿⣹⣿⠟⠛⠛⠋⠁⠈⠻⣿⣿⣧⠹⣿⣿⠁⠀ ⠘⣟⣤⠠⠀⠤⠀⡘⣿⣿⡷⠄⡀⢐⡒⠻⠻⣿⣿⣿⡇⠿⣫⢤⠀ ⠃⣿⣿⣜⣋⣀⠜⡪⣸⣿⣧⣼⣇⣩⣠⣬⣁⣾⣿⣿⣿⣰⡇⣠⡀ ⠀⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⣨⠀ ⣶⡘⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢏⣼⣿⣵⠏⠀ ⠘⣷⡸⣿⣿⣿⣿⣇⠻⠿⠛⢹⣿⣿⣿⣿⣿⣿⢃⣾⣿⠿⠏⠀⠀ ⠀⠸⡇⣿⣿⡿⠛⠀⠁⠀⠀⠀⠉⠛⢿⣿⣿⣿⢸⣿⣿⢠⡆⠀⠀ ⠀⠀⣇⢿⣿⠁⠀⠀⠀⢀⣀⣀⣀⠀⠀⢿⣿⡟⣸⣿⣿⢸⡇⠀⠀ ⠀⠀⢻⡜⣿⣴⣿⣿⣯⣛⣛⣿⣿⣿⣶⣬⣿⢣⣿⡿⠃⣠⡇⠀⠀ ⠀⠀⠀⢻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⠟⠀⣸⣿⣇⠀⠀ ⠀⠀⠀⣆⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢃⢂⣼⣿⣿⣿⠀⠀ ⠀⠀⠀⢿⣧⠹⣿⣿⣿⣷⣿⣿⣿⣿⣿⡟⣱⢃⣾⣿⣿⣿⣿⣄⡀ ⠀⠀⠀⠸⠿⠷⠔⠭⠭⠭⠭⠭⠥⠶⠶⠾⠇⠾⠿⠿⠿⠿⠿⠿⠿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣾⢿⣿⡟⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣱⣾⣱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⢀⣿⣾⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡔⠁⠠⢀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⡖⠒⠠⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡗⢉⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠄⠠⣰⠀⠀⠀⠀ ⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣷⣶⣾⡀⠀⠀⠀ ⠀⠀⢀⣾⡿⢿⣿⣿⣿⣿⣿⣿⣿⡿⢏⣀⣱⣈⡿⣿⣿⣿⣿⡿⢿⡆⠀⠀ ⠀⠀⠈⣿⣷⣄⡉⠙⡿⠿⠿⣿⣿⣶⣿⣷⣿⣏⣁⠀⣿⡉⠈⣱⡎⠃⠀⠀ ⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠋⠀⠀⠀⠀ ⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀ ⠀⠀⢹⣿⣿⡿⠋⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠻⡿⠁⠀⠀⠀ ⠀⠀⠀⠹⣿⣇⠰⠀⢆⠈⡹⣿⣿⣿⠿⠹⣿⣿⣿⣿⠏⣀⠎⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⣆⢂⣽⢿⠀⠰⣟⡾⡍⢰⠊⠀⠀⠀⠀⠀⡀⠂ ⡄⠂⠈⠄⠐⠀⠂⠀⡌⠤⣣⣾⣻⠁⠀⠀⠙⢽⣻⣄⠣⣄⠠⠈⠐⠠⠀⠄

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