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⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠞⠉⢉⣭⣿⣿⠿⣳⣤⠴⠖⠛⣛⣿⣿⡷⠖⣶⣤⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⠁⢀⣶⢻⡟⠿⠋⣴⠿⢻⣧⡴⠟⠋⠿⠛⠠⠾⢛⣵⣿⠀⠀⠀⠀ ⣼⣿⡿⢶⣄⠀⢀⡇⢀⡿⠁⠈⠀⠀⣀⣉⣀⠘⣿⠀⠀⣀⣀⠀⠀⠀⠛⡹⠋⠀⠀⠀⠀ ⣭⣤⡈⢑⣼⣻⣿⣧⡌⠁⠀⢀⣴⠟⠋⠉⠉⠛⣿⣴⠟⠋⠙⠻⣦⡰⣞⠁⢀⣤⣦⣤⠀ ⠀⠀⣰⢫⣾⠋⣽⠟⠑⠛⢠⡟⠁⠀⠀⠀⠀⠀⠈⢻⡄⠀⠀⠀⠘⣷⡈⠻⣍⠤⢤⣌⣀ ⢀⡞⣡⡌⠁⠀⠀⠀⠀⢀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠸⣇⠀⢾⣷⢤⣬⣉ ⡞⣼⣿⣤⣄⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⣿⠀⠸⣿⣇⠈⠻ ⢰⣿⡿⢹⠃⠀⣠⠤⠶⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⣿⠀⠀⣿⠛⡄⠀ ⠈⠉⠁⠀⠀⠀⡟⡀⠀⠈⡗⠲⠶⠦⢤⣤⣤⣄⣀⣀⣸⣧⣤⣤⠤⠤⣿⣀⡀⠉⣼⡇⠀ ⣿⣴⣴⡆⠀⠀⠻⣄⠀⠀⠡⠀⠀⠀⠈⠛⠋⠀⠀⠀⡈⠀⠻⠟⠀⢀⠋⠉⠙⢷⡿⡇⠀ ⣻⡿⠏⠁⠀⠀⢠⡟⠀⠀⠀⠣⡀⠀⠀⠀⠀⠀⢀⣄⠀⠀⠀⠀⢀⠈⠀⢀⣀⡾⣴⠃⠀ ⢿⠛⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠈⠢⠄⣀⠠⠼⣁⠀⡱⠤⠤⠐⠁⠀⠀⣸⠋⢻⡟⠀⠀ ⠈⢧⣀⣤⣶⡄⠘⣆⠀⠀⠀⠀⠀⠀⠀⢀⣤⠖⠛⠻⣄⠀⠀⠀⢀⣠⡾⠋⢀⡞⠀⠀⠀ ⠀⠀⠻⣿⣿⡇⠀⠈⠓⢦⣤⣤⣤⡤⠞⠉⠀⠀⠀⠀⠈⠛⠒⠚⢩⡅⣠⡴⠋⠀⠀⠀⠀ ⠀⠀⠀⠈⠻⢧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣻⠿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠓⠶⣤⣄⣀⡀⠀⠀⠀⠀⠀⢀⣀⣠⡴⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀

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⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛🔶🔶🔶⬛⬛⬜⬜⬜⬜⬜⬛⬛🔶🔶🔶⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛🔶🔶🔶🔶⬛⬜⬜⬜⬛🔶🔶🔶⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛⬛🟧⬛⬛⬛🔶🔶🔶⬛⬜⬛🔶🔶🔶⬛⬛⬛🟧⬛⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛⬛⬛🟧⬛🟧⬛⬛⬛🔶🔶⬛🔶🔶⬛⬛⬛🟧⬛🟧⬛⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛🟧⬛🟧⬛🟧⬛🟧⬛🔶🔶🔶🔶🔶⬛🟧⬛🟧⬛🟧⬛🟧⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛🟧⬛🔶⬛🔶⬛🟧🟧⬛🔶🔶🔶⬛🟧🟧⬛🔶⬛🔶⬛🟧⬛⬛⬜⬜⬜⬜⬜ ⬛⬛⬛⬜⬜⬜⬛🔶⬛🔶🔶🔶🔶🔶🔶⬛🔶🔶🔶⬛🔶🔶🔶🔶🔶🔶⬛🔶⬛⬜⬜⬜⬛⬛⬛ ⬜⬜⬜⬛⬛⬜⬛🔶🔶🔶🔶🔶⬛⬛⬛⬛⬛🔶⬛⬛⬛⬛⬛🔶🔶🔶🔶🔶⬛⬜⬛⬛⬜⬜⬜ ⬛⬛⬜⬜⬛⬛🔶🔶🔶🔶⬛⬛🔶🔶🔶🔶⬛⬛⬛🔶🔶🔶🔶⬛⬛🔶🔶🔶🔶⬛⬛⬜⬜⬛⬛ ⬜⬜⬛⬛⬛🔶🔶🔶🔶⬛🔶🔶🔶🔶🔶🔶🔶⬛🔶🔶🔶🔶🔶🔶🔶⬛🔶🔶🔶🔶⬛⬛⬛⬜⬜ ⬜⬜⬜⬜⬛🔶🔶🔶⬛⬛🔶🔶🔶🔶🔶🔶🔶⬛🔶🔶🔶🔶🔶🔶🔶⬛⬛🔶🔶🔶⬛⬜⬜⬜⬜ ⬛⬛⬛⬛🟧🟧🔶🟧⬛🔶🔶🔶🔶🔶🔶🔶🔶⬛🔶🔶🔶🔶🔶🔶🔶🔶⬛🟧🔶🟧🟧⬛⬛⬛⬛ ⬜⬜⬜⬛🟧🟧🟧🟧⬛🔶🔶🔶🔶🔶🔶🔶🔶⬛🔶🔶🔶🔶🔶🔶🔶🔶⬛🟧🟧🟧🟧⬛⬜⬜⬜ ⬜⬜⬜⬛⬛⬛⬛🟧⬛🟧🔶🔶🔶🔶🔶🔶🟧⬛🟧🔶🔶🔶🔶🔶🔶🟧⬛🟧⬛⬛⬛⬛⬜⬜⬜ ⬜⬜⬛🦲🦲🦲🦲⬛⬛🟧🔶🔶🔶🔶🔶🔶🟧⬛🟧🔶🔶🔶🔶🔶🔶🟧⬛⬛🦲🦲🦲🦲⬛⬜⬜ ⬜⬛🟡⬛🟡🟡⬛🟡⬛🟧🟧🔶🔶🔶🔶🟧🟧⬛🟧🟧🔶🔶🔶🔶🟧🟧⬛🟡⬛🟡🟡⬛🟡⬛⬜ ⬜⬛🟨🟡🟡🟡🟡🟨⬛🟧🟧🟧🟧🟧🟧🟧🟧⬛🟧🟧🟧🟧🟧🟧🟧🟧⬛🟨🟡🟡🟡🟡🟨⬛⬜ ⬜⬛🟨🟨⬛🟨🟨🟨⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🟨🟨🟨⬛🟨🟨⬛⬜ ⬜⬛🟨🟨🟨🟨🟨🟨⬛⬜⬜⬜⬜⬛⬛⬛⬜⬛⬜⬛⬛⬛⬜⬜⬜⬜⬛🟨🟨🟨🟨🟨🟨⬛⬜ ⬜⬜⬛🟨⬛⬛🟨🟨⬛⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬛🟨🟨⬛⬛🟨⬛⬜⬜ ⬜⬜⬛🟧🟧⬛🟨🟨🟨⬛⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬛🟨🟨🟨⬛🟧🟧⬛⬜⬜ ⬜⬜⬛⬛🟧⬛🟨🟨🟨🟨⬛⬛⬛⬛⬛⬛👛👛👛⬛⬛⬛⬛⬛⬛🟨🟨🟨🟨⬛🟧⬛⬛⬜⬜ ⬜⬜⬛⬛🟧⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬛⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛🟧⬛⬛⬜⬜ ⬜⬜⬛⬛🔶🟧⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛🟧🔶⬛⬛⬜⬜ ⬜⬜⬜⬛🔶🔶🟧⬛🟨🟨🟨🟨🟨🟨🟨🟨⬛🟧⬛🟨🟨🟨🟨🟨🟨🟨🟨⬛🟧🔶🔶⬛⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬛🟧⬛🟨🟨🟨🟨🟨🟨⬛🟧🟧🟧⬛🟨🟨🟨🟨🟨🟨⬛🟧⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛🔶🟧⬛⬛⬛⬛⬛⬛🟧🔶🔶🔶🟧⬛⬛⬛⬛⬛⬛🟧🔶⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🔶🔶🟧🟧🟧🟧🟧🟧🔶🔶🔶🔶🔶🟧🟧🟧🟧🟧🟧🔶🔶⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛⬛🔶🔶🔶🔶🔶🔶🔶🔶🔶🔶🔶🔶🔶🔶🔶🔶🔶⬛⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜

⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣶⡒⠒⢤⣤⣶⡿⣯⣍⠁⠒⠦⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⠇⢇⢇⢟⢆⡞⠈⡇⠇⢱⠘⡷⡄⠀⠘⢷⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡟⠼⣘⣘⡘⢸⠀⠇⠃⠸⠈⡆⢡⠹⡀⠀⠈⢱⡀⠀⠀⠀⠀ ⠀⠀⠠⢄⡑⡀⣠⠗⠋⠁⠀⢈⡽⠒⠉⠉⠉⠒⢤⠘⠀⠇⠀⠀⠈⡇⠀⠀⠀⠀ ⠀⠀⢀⠤⣺⣿⡃⠀⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠈⢿⠉⠟⠀⠀⠀⢷⣄⠀⠀⠀ ⠀⠀⠁⣼⡃⡇⠑⢄⡀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢈⣿⣿⡢⠄ ⢰⠤⡼⡿⠧⢣⡀⠀⠛⢺⠤⣄⣀⣀⠀⠤⠤⠒⠂⡝⠀⠀⠀⠀⠀⠈⠛⠿⣷⡀ ⠾⢰⣧⡀⠀⢀⡵⠢⢤⠚⠢⡈⠁⠀⠀⠀⠀⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⣥⡇ ⠀⢸⣿⡿⠀⢸⠂⠀⢀⠿⡉⠈⠉⠑⣶⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⣿⣧ ⠀⠸⣫⠀⠀⠈⠗⠒⠊⠀⠙⡀⠀⠀⢬⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢻ ⠀⠀⠻⣿⣿⣿⠇⠀⠀⠀⠀⠈⠢⡼⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣶⣶⡎ ⠀⠀⠀⠈⠛⢿⣭⣀⣰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣶⡀⠀⠰⣿⣿⠟⠀ ⠀⠀⠀⠀⠀⣾⣽⣿⡅⠻⠂⠀⠀⠀⠀⠀⠀⠀⣤⡄⣿⣿⣿⣿⣲⡾⠋⠁⠀⠀ ⠀⠀⠀⠀⢀⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢦⡀⠀⠀

⠀⠀⠀⠀⠀⠀⢀⣤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⢤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡼⠋⠀⣀⠄⡂⠍⣀⣒⣒⠂⠀⠬⠤⠤⠬⠍⠉⠝⠲⣄⡀⠀⠀ ⠀⠀⠀⢀⡾⠁⠀⠊⢔⠕⠈⣀⣀⡀⠈⠆⠀⠀⠀⡍⠁⠀⠁⢂⠀⠈⣷⠀⠀ ⠀⠀⣠⣾⠥⠀⠀⣠⢠⣞⣿⣿⣿⣉⠳⣄⠀⠀⣀⣤⣶⣶⣶⡄⠀⠀⣘⢦⡀ ⢀⡞⡍⣠⠞⢋⡛⠶⠤⣤⠴⠚⠀⠈⠙⠁⠀⠀⢹⡏⠁⠀⣀⣠⠤⢤⡕⠱⣷ ⠘⡇⠇⣯⠤⢾⡙⠲⢤⣀⡀⠤⠀⢲⡖⣂⣀⠀⠀⢙⣶⣄⠈⠉⣸⡄⠠⣠⡿ ⠀⠹⣜⡪⠀⠈⢷⣦⣬⣏⠉⠛⠲⣮⣧⣁⣀⣀⠶⠞⢁⣀⣨⢶⢿⣧⠉⡼⠁ ⠀⠀⠈⢷⡀⠀⠀⠳⣌⡟⠻⠷⣶⣧⣀⣀⣹⣉⣉⣿⣉⣉⣇⣼⣾⣿⠀⡇⠀ ⠀⠀⠀⠈⢳⡄⠀⠀⠘⠳⣄⡀⡼⠈⠉⠛⡿⠿⠿⡿⠿⣿⢿⣿⣿⡇⠀⡇⠀ ⠀⠀⠀⠀⠀⠙⢦⣕⠠⣒⠌⡙⠓⠶⠤⣤⣧⣀⣸⣇⣴⣧⠾⠾⠋⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣭⣒⠩⠖⢠⣤⠄⠀⠀⠀⠀⠀⠠⠔⠁⡰⠀⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⢤⣀⣀⠉⠉⠀⠀⠀⠀⠀⠁⠀⣠⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠒⠲⠶⠤⠴⠒⠚⠁⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⢖⣫⣿⣿⢿⢆⣀⡤⠴⢲⣶⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⡴⣿⢿⠏⡼⢸⣾⡁⣠⡾⠟⡽⢻⢿⡟⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⠀⡼⣽⣃⡼⠶⠧⢼⣹⠟⠓⠒⠒⢤⡉⢾⡹⠀⢀⡤⢖⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠴⠶⠤⠤⣀⡀⢀⡇⠀⢰⢷⡟⠁⠀⠀⠀⠀⠈⠳⡄⠀⠀⠀⠙⣾⣅⠪⢗⣒⣉⣉⣉⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢚⣩⡭⠟⢫⣿⡿⡃⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠙⡆⠀⠀⠀⠈⢿⢷⣄⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠐⠉⠀⠀⣰⣿⢯⡿⡷⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠈⣧⠬⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⣿⠓⠟⠸⢹⡴⠒⠺⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⢸⣔⠀⠚⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣷⢣⢧⢀⠀⡏⠀⢠⡀⠸⣆⣀⠀⠀⠀⠀⠀⣀⣀⣸⣀⣠⠴⢖⡏⢸⠒⡾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣼⡾⣾⠀⠳⠤⣼⠁⠀⠈⠢⣉⠉⠉⠉⠉⣁⠤⠮⢤⣀⠴⠋⠀⡼⣀⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣿⠃⠀⠀⡀⠀⠈⢇⠀⠀⠀⠈⠑⠒⠒⠚⠙⢒⡶⢎⡀⠀⢀⠔⠙⣯⣻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢿⣦⡳⣝⢧⡀⠀⠀⠑⠤⣄⣀⣀⣀⡠⠴⠚⠁⠀⠀⠙⢺⣁⡄⣠⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣮⡳⠅⠀⠠⠄⠀⠀⠀⢀⡤⠶⢤⡀⠀⠀⣠⢖⣾⣿⡿⠯⢥⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⣺⣿⣿⣷⣦⢴⠃⠀⢀⠴⠚⢢⣾⢿⣉⣰⠋⠀⠀⠀⢈⣱⠖⠉⠉⠙⢦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣶⣤⡄⣾⣄⣰⠃⠀⠀⡞⠀⠀⢸⡇⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠈⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⡿⠷⠋⠉⢹⣄⣀⣸⡇⠀⢀⡜⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⠀⠀⠀⠠⡠⣄⠉⠀⠈⠉⠉⠀⠀⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⣠⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣼⣰⣤⡄⠀⠈⠉⠳⣄⡀⠀⠀⠀⠀⠀⠀⣠⠞⠑⠒⠒⠦⠴⡖⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠿⠿⠓⠃⠀⠀⠀⠀⠀⠉⠙⠒⠒⠒⠒⠋⠁⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⢢⣤⣤⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡳⡷⣷⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣤⣶⢯⣭⠭⠛⠷⣶⠶⠶⣿⣿⣷⣤⣼⣿⠀⠀⠀⢠⣿⣀⠤⠤⣤⡶⠾⠛⢻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣴⢿⡏⠑⠻⠃⠀⠀⠀⠈⠛⠀⣿⣿⣿⠟⢡⠇⠀⠀⢀⡎⠀⠀⠀⡼⠃⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣿⢯⢿⠃⠀⠀⠀⢀⣀⡠⠤⠤⠔⠛⠋⠁⠀⡞⠀⠀⠀⣼⠀⠀⠀⡼⠁⠀⠀⢀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡁⠀⠀⠀⠀⠀⢴⠉⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⢰⠇⠀⠀⡜⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⣧⢰⠀⡄⡇⢰⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⡎⠀⢀⡾⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⣿⣸⡆⡇⣧⣾⣸⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⣴⠁⢀⠞⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠀⣽⠴⠋⠀⠀⠀⠀⠐⠉⠹⠦⠒⠒⠉⠉⠉⠉⠉⢒⡢⣄⠀⠀⠀ ⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠴⠋⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠀⠀⠉⢮⣧⠀⠀ ⠀⠀⣰⠚⣩⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠈⢳⡀⠀⢸⡏⠀⠀ ⠀⠀⣧⠞⠀⠀⣠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣾⡿⠛⢻⣷⣄⣀⡤⠴⢿⡀⠀⠀⠀⣸⣃⣠⣾⣶⣶⠶ ⠀⠀⣯⠀⠀⢸⠁⠀⠀⠀⠀⢰⠀⠀⠀⠀⣤⣤⠾⠿⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠓⠒⠋⠉⠀⠀⠀⠀⠀⠀ ⣤⣶⣿⣦⣀⣘⣆⡀⠀⢀⣠⠿⠤⠤⠔⠚⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠋⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⢀⣀⣀⣠⣤⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠟⠛⠛⠋⠉⠉⠛⣷⡄ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⢀⣀⡤⣤⢤⡤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⣀⣤⣶⠿⠛⠋⠁⠁⠀⠀⠀⠉⠛⣯⣳⡀⠀⠀⠀⠀⠀⠀⢠⡿⠃ ⠀⣠⣶⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡻⣿⠀⠀⠀⠀⠀⣠⡿⠃⠀ ⢸⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠉⢹⡆⠀⠀⢸⣿⠀⠀⠀⠀⢠⡿⠁⠀⠀ ⢸⣧⡀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠈⠀⠀⢀⣮⠏⠀⠀⠀⠀⠘⣷⡀⠀⠀ ⠀⠙⠿⣶⣤⣀⠀⠀⠀⠀⠈⠻⢦⣤⣤⣤⡶⠟⠁⠀⠀⠀⠀⠀⠀⠘⣷⡄⠀ ⠀⠀⠀⠀⠉⠛⠿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣦⣤⣤⣄⣀⣀⣤⡿⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⣠⣾⠏⠀⠀⠀⠈⠉⠉⠙⠛⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣄⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣛⠛⠶⢤⣀⢀⣤⠶⠚⣛⣻⣿⣿⣶⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⠀⠸⡿⡿⡍⠋⠛⠙⢦⡀⠉⠉⢀⡴⠚⠙⠙⢉⢟⣿⡇⠀⣀⡀⠀⠀ ⠀⣠⣄⣙⠻⣦⡹⣝⠂⠀⠀⣀⣀⡙⢆⢠⠏⣀⣀⠀⠀⠀⢪⡞⣠⠾⢋⣁⣤⡀ ⢀⣈⣭⣽⣟⣢⣵⠋⢳⡴⠋⠉⠈⠉⢻⡟⠉⠁⠈⠉⠲⡶⠛⣷⣅⢺⣯⣭⣉⡀ ⠈⠉⠁⣠⡾⠻⠟⢃⠎⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠘⡆⠻⠿⠳⣄⠈⠉⠉ ⠀⠀⣴⣿⣞⠄⠀⡾⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⢹⡀⠀⡼⣮⣷⡀⠀ ⠀⣾⠙⠟⠾⠁⢠⡇⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠈⡇⠀⠛⠟⠗⢻⡄ ⣸⠇⠀⠀⣀⣤⣸⡇⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⣇⣠⣄⡀⠀⠈⣷ ⣿⣤⡀⢾⠀⠀⠈⣧⠤⣀⣀⣀⡀⣀⣀⣇⣀⣀⣀⣀⣀⡠⢴⠇⠀⠀⢹⠀⢰⣹ ⢿⣿⡷⠈⠓⠤⣢⠚⣆⠀⠀⠀⠉⣉⠤⠧⢍⠉⠀⠀⠀⣠⠎⢆⡤⠖⠁⠸⣿⣿ ⠈⢿⣄⡀⡀⣠⢧⠀⠈⠙⠲⠶⠖⠣⢤⡤⠴⠓⠶⠖⠚⠁⠀⢸⢠⣀⣀⢀⡼⠃ ⠀⠀⠙⠻⢿⣯⣈⣓⠦⣄⣀⣀⣀⠴⠊⠘⠦⣄⣀⣀⣀⡤⢖⣁⣼⡿⠟⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠻⠒⠒⠶⠤⣤⣤⣤⣤⣤⣤⡤⠴⠖⠒⠾⠋⠀⠀⠀⠀⠀⠀

⠀⠀⠀⢸⣦⡀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣏⠻⣶⣤⡶⢾⡿⠁⠀⢠⣄⡀⢀⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀ ⠀⠀⣀⣼⠷⠀⠀⠁⢀⣿⠃⠀⠀⢀⣿⣿⣿⣇⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠴⣾⣯⣅⣀⠀⠀⠀⠈⢻⣦⡀⠒⠻⠿⣿⡿⠿⠓⠂⠀⠀⢂⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⢻⡇⣤⣾⣿⣷⣿⣿⣤⠀⠀⣿⠁⠀⠀⠀⢀⣴⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣿⡿⠏⠀⢀⠀⠀⠿⣶⣤⣤⣤⣄⣀⣴⣿⡿⢻⣿⡆⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠟⠁⠀⢀⣼⠀⠀⠀⠹⣿⣟⠿⠿⠿⡿⠋⠀⠘⣿⣇⠀⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢳⣶⣶⣿⣿⣇⣀⠀⠀⠙⣿⣆⠀⠀⠀⠀⠀⠀⠛⠿⣿⣦⣤⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⠿⠋⠁⠀⣹⣿⠳⠀⠀⠀⠀⠀⠀⢀⣠⣽⣿⡿⠟⠃ ⠀⠀⠀⠈⠀⢰⠿⠛⠻⢿⡇⠀⠀⠀⣰⣿⠏⠀⠀⢀⠀⠀⠁⣾⣿⠟⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⣰⣿⣿⣾⣿⠿⢿⣷⣀⢀⣿⡇⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠋⠉⠁⠀⠀⠀⠀⠙⢿⣿⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀ 𐙚 -`♡´-˙✧˖°📷 ༘ ⋆｡˚˙✧˖°📷 ༘ ⋆｡˚˚˖𓍢ִ໋🌷͙֒✧˚.🎀༘⋆˚‧｡⋆🌻⋆｡‧˚⛷🧚‍♀️🛖

⠀⠀⠀⠀⠀⠀⠀⢀⠠⠬⣦⣤⣤⠊⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠔⠁⣴⣾⢟⣿⣿⢉⡴⣿⣿⡆⠀⠀⠀⠀ ⢀⡀⢄⠀⢀⠂⢀⣊⣊⠌⠚⠨⣼⠭⠬⢌⡫⠃⡠⢀⡀⠀ ⡀⠈⢪⣦⡾⠀⠀⢰⠁⠀⠀⠀⠈⢂⠀⠀⠈⠲⣝⠥⠤⠀ ⠀⢠⠞⠛⠃⠀⠀⢀⠀⠀⠀⠀⠀⠀⢃⠀⠀⠀⠸⢳⡀⠀ ⢀⣿⡀⠀⢀⠤⠐⠸⡄⠀⠀⠀⠀⠀⣈⣄⣀⠀⢤⠚⠓⡄ ⢸⡿⠋⠀⠎⠈⣠⠀⠈⠲⢌⡹⠍⣐⡖⠃⡫⠭⠊⡰⠂⠸ ⢨⡀⠀⠀⠣⢤⡔⠢⢀⡀⠀⢀⡀⠄⠊⠉⠑⠤⠐⠁⣲⡇ ⠘⣿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠃ ⠀⠘⢇⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣤⠎⠀ ⠀⠀⠀⣵⠶⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⣠⣀⠼⠛⠁⠀⠀ ⠀⠀⢸⣿⡇⠀⠉⠉⠉⠛⠀⠀⠀⠀⠈⠉⠙⢄⠀⠀⠀⠀ ⠀⠀⡽⠁⡆⠀⠀⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣟⠿⠿⣷⣦⣴⣿⣿⣿⡿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣦⣀⣿⣿⣿⣿⣿⣿⣷⣍⠛⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣏⠓⠙⠊⠋⠙⣿⣿⣿⡟⣿⢿⠿⣿⢷⣄⠉⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣉⡛⠷⣦⣀⠀⠀⠀⠀⠙⢿⣷⣶⡿⠿⠛⠛⠻⣿⣧⣴⠶⢶⣦⣬⣁⠙⢷⡄⠈⢻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠛⠛⠛⠿⣾⣿⣧⡀⠀⢀⣴⡿⠋⠀⠀⠀⠀⣠⡾⠋⠁⠀⠀⠀⠀⠉⠻⣷⣼⣿⡄⠀⠹⣿⣄⠠⠈⠠⠈⣤⣤⣴⣶⠶⠂⠀⠀ ⠰⠶⠒⠶⣦⣼⣿⣿⣿⣿⠿⢿⣿⣿⣷⣶⣶⣶⣿⣧⣤⣤⣄⣀⣀⡀⠀⠀⠈⢻⣏⠀⠀⠀⠙⣿⣷⣤⣴⣿⣿⣩⣤⣿⢶⣶⡄⠀ ⠀⠀⠀⠀⠈⠻⣿⣿⣿⠇⢀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠛⣿⣿⣿⣿⣿⣿⣷⣶⣶⣿⣦⣤⣀⣰⣎⢻⣿⣿⣿⣿⣉⣄⣁⣄⠉⠈⠀ ⠀⠀⠀⠀⢀⣴⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⡏⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣋⡙⠛⠛⠛⠂ ⠀⠀⠀⠀⢸⣿⢻⣿⣿⡀⣸⣿⣿⣿⣿⣿⣿⣿⣇⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀ ⠀⠀⠀⠀⣿⡿⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠈⠙⠛⠿⣿⣿⣿⣿⣿⣷⠀⠀ ⠀⠀⠀⢸⡟⣀⠃⢀⠘⠿⣿⣿⣿⣿⠟⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠶⣦⣄⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡟⠛⠛⠀⠀ ⠀⠀⠀⢸⣇⠁⡀⠸⢶⣄⠀⠉⠉⠻⣷⣤⣤⣴⠿⠿⠿⠿⠿⠿⠿⣿⠿⠟⠁⠀⠀⠀⠙⢷⡄⠀⢀⣶⣼⣰⣿⣿⣿⡟⠀⠀⠀⠀ ⠀⠀⠀⠘⣿⡦⠁⠀⠈⢿⣦⡀⢀⣴⠟⠛⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⠀⠈⠁⠘⣿⠀⠘⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀ ⠀⠀⠀⠈⠻⣿⣧⣤⣤⡄⠙⠻⠋⠁⠀⠀⠀⠛⢶⣤⣀⠀⠀⠀⠀⠀⢀⣴⡿⠛⠁⣀⠋⣰⡟⠀⠀⠈⠿⢋⣿⣿⣿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢿⣿⣿⡃⠀⠀⣤⠀⠀⠀⠀⠀⠀⠈⠛⠻⠶⠶⠶⠶⠟⠋⠀⣀⣀⣤⠾⠋⠀⢀⣀⢀⣀⣈⣽⣿⣿⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⢿⣷⣦⣿⣏⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡁⠀⠀⠀⣺⣿⣿⣿⣿⣿⣿⢿⣿⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡘⢛⠛⢿⠿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣦⣾⣿⣧⠀⠀⢠⣶⣿⣿⣿⡿⠟⣵⣾⡏⣿⣧⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠐⢀⣴⡿⠻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠿⠿⠿⠿⠿⠿⠿⠛⠉⣠⣾⣿⢿⡇⠿⠉⣽⣷⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠛⠋⠉⠀⠀⠀⢀⣽⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣶⣶⣤⣄⢸⣿⡿⣟⢿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣷⣶⠢⢄⡤⠤⣤⣤⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣀⣸⡉⠀⣈⣡⣀⣠⣊⠙⠻⣿⠆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠻⣿⣿⡿⠋⠁⠈⢙⡏⠁⠀⠉⢶⣯⣠⣶⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣽⠃⠀⠀⠀⢸⠀⠀⠀⠀⢸⣿⣿⡿⠯⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠋⢻⠶⠦⣤⣤⣾⣄⣀⣀⣀⣸⠿⢿⡇⠀⠀⠀ ⣠⡤⣄⡀⠀⠀⠀⠀⠀⠀⢿⡟⠘⢌⠳⢤⣉⡭⢿⣉⠉⢉⡽⢁⡄⣠⣷⠀⠀⠀ ⠘⢄⡀⠉⠓⢦⣀⢀⡀⠀⠈⢿⣶⠈⢲⡤⠾⠧⠴⠯⣉⣉⣠⣜⣀⣽⠏⠀⠀⠀ ⠀⠀⢹⠛⠢⣴⠁⢀⠻⣄⣀⡠⠼⠷⠼⠷⠀⠀⠀⠀⠀⣠⡤⠿⠿⠿⢦⡄⠀⠀ ⠀⠀⠘⣦⣤⣿⠓⠋⠀⠈⠁⣠⠜⠀⠀⠀⢠⠞⠛⠛⠒⠲⠶⠒⠀⠀⢠⡿⠀⠀ ⠀⠀⠀⠘⠂⠴⢤⣤⠴⠖⢺⡟⠀⠀⠀⠀⠘⠒⢺⡆⢠⠀⠀⡀⠀⣰⡏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠈⠑⠛⠂⠤⣿⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣄⠀⠀⠀⠀⢀⡀⠀⢠⣄⣴⣾⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⡲⠲⢤⣿⡇⠀⢸⢿⣿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢸⢹⡇⠀⢸⠘⣿⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡠⠴⠚⠛⠛⠛⠓⠦⠤⣤⣤⡧⠀⢸⣾⡇⠀⢸⡶⠿⠻⣷⡶⠛⢿⣶⡄ ⠀⠀⣾⠁⠀⠀⠀⠀⠀⢀⠀⠒⠛⠛⠛⠒⠚⠛⠛⠀⠀⢳⡀⠀⠀⠀⠀⠀⣿⡷ ⠀⠀⠙⢦⣀⣴⡀⢀⣴⣁⠀⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⣄⣀⣀⣴⠿⠃ ⠀⠀⠀⠀⠀⠀⠉⠉⠙⠿⣄⣿⣄⣀⡴⢧⣴⠞⠛⠛⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡤⣤⣄⠀⠀⣠⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠔⠋⡠⡿⣜⠃⣿⡟⠉⣀⢜⣿⢇⡝⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠁⢀⡜⠊⣼⣘⣀⣿⣠⡾⠥⣝⡙⢩⣷⠃⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⠤⠤⢄⣀⠀⢸⠁⠀⡜⡴⠋⠀⠀⠈⠙⢧⠀⠀⠀⠙⢶⣇⣖⡩⠴⠒⠂⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢒⣒⣒⣶⣿⠟⠀⠀⢱⠁⠀⠀⠀⠀⠀⠀⠑⡄⠀⠀⠈⢏⠫⡉⠉⠉⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠉⠀⣠⠞⡱⢋⣴⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠘⣤⣾⢢⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⡃⠀⠁⢈⣿⢲⠺⣇⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣧⣽⣸⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣯⠇⡾⣠⠸⣨⢿⣳⠊⢶⠠⠤⢤⣤⡤⠤⣤⣷⡖⠊⣩⠋⡇⢀⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⡆⠸⠋⠀⠈⠉⣇⠀⠀⠙⠲⠤⠄⠤⣾⣿⣷⠖⠊⠀⣰⢳⢸⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢯⢄⠠⣗⠄⠀⠘⢦⣀⠀⠀⠀⢀⣀⠴⠛⠉⠓⠤⢚⡁⣀⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢧⡱⣌⠃⠀⠀⠀⠀⠉⠉⣉⠥⣄⠀⠀⠀⡠⣲⣿⢾⠯⢄⡀⠀⠀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠚⠥⣴⣿⣽⣖⣤⡞⠁⢀⡠⠷⣄⣾⡋⢱⠃⠁⠀⠀⣈⠖⠋⠉⠳⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⢬⣧⣅⡷⣴⠋⠀⢀⠎⠀⠘⡏⠀⠀⠀⠈⡇⠀⠀⠀⠀⠸⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡿⠋⠊⠀⠈⠣⠤⢼⣄⣀⡜⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⢀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢾⢃⡀⠀⠈⠢⣠⣄⠀⠈⠁⠀⠀⠀⠀⠀⣼⣀⡀⠀⠀⣠⠞⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⢸⣟⡿⠀⠀⠀⠀⠙⠢⠤⣀⣀⣠⠴⠊⠀⠀⠈⠉⢉⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⣀⡀⡠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣞⣟⢾⣾⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠊⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⢴⢾⣻⡛⠋⠩⢥⡔⢏⠈⠲⠤⣻⠇⠀⠀⢠⣴⠤⠤⢶⠒⠋⠉⡰⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣺⣷⡔⠛⠋⠀⠀⠀⠘⠂⢸⠀⢠⠔⡞⠀⠀⢀⡇⠀⠀⣠⠃⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⠓⠙⠋⠀⠀⠀⣠⡤⠤⠒⠒⠚⠊⠁⢰⠁⠀⠀⡸⠀⠀⢠⠃⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡄⠀⠀⠀⢠⠀⡇⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⢰⡇⠀⡰⠃⠀⠀⢀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣧⣰⣸⣾⡆⡇⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⡞⢀⡜⠁⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢻⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⢠⠇⠀⠀⢰⡧⠊⠀⠀⠀⠠⠚⠓⠤⠔⠒⠋⠉⠉⠒⠲⢤⡀⠀ ⠀⠀⠈⢉⡩⠥⠤⢤⣀⣀⣀⡠⠴⠋⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠳⡜⡄ ⠀⠀⡜⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⣀⡀⠀⠀⠀⢠⡆⠀⠀⠈⢣⠀⠀⣹⠃ ⠀⢀⡵⠁⠀⢠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡴⠟⠁⠀⠉⠢⠤⠒⠁⠣⣀⠀⢀⣸⣠⠼⠃⠀ ⠀⠘⣇⠀⠀⣏⠀⠀⠀⠀⡸⠀⠀⢀⠞⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀ ⠀⠀⠈⠓⠢⠚⠦⠤⠤⠚⠁⠓⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣀⢀⣾⠿⠻⢶⣄⠀⠀⣠⣶⡿⠶⣄⣠⣾⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢻⣿⣿⡿⣿⠿⣿⡿⢼⣿⣿⡿⣿⣎⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠉⠛⢛⣛⡉⠀⠀⠙⠛⠻⠛⠑⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣧⣤⣴⠿⠿⣷⣤⡤⠴⠖⠳⣄⣀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣀⣟⠻⢦⣀⡀⠀⠀⠀⠀⣀⡈⠻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠉⡇⠀⠀⠛⠛⠛⠋⠉⠉⠀⠀⠀⠹⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠀⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠈⠑⠪⠷⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣦⣼⠛⢦⣤⣄⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠢⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠲⠖⠛⠻⣿⡿⠛⠉⠉⠻⠷⣦⣽⠿⠿⠒⠚⠋⠉⠁⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⠛⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀ ⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀ ⠀⠀⠀⣰⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣧⣄⠀⠀⠀⠀⠀⠀⢳⡀⠀ ⠀⠀⠀⣿⡾⢿⣀⢀⣀⣦⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣫⣿⡿⠟⠻⠶⠀⠀⠀⠀⠀⢳⠀ ⠀⠀⢀⣿⣧⡾⣿⣿⣿⣿⣿⡷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢿⣿⣧⠀⡀⠀⢀⣀⣀⢒⣤⣶⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⡾⠁⠙⣿⡈⠉⠙⣿⣿⣷⣬⡛⢿⣶⣶⣴⣶⣶⣶⣤⣤⠤⠾⣿⣿⣿⡿⠿⣿⠿⢿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣸⠃⠀⠀⢸⠃⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⠟⡉⠀⠀⠀⠈⠙⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣿⠀⠀⢀⡏⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠉⠠⠿⠟⠻⠟⠋⠉⢿⣿⣦⡀⢰⡀⠀⠀⠀⠀⠀⠀⠁ ⢀⣿⡆⢀⡾⠀⠀⠀⠀⣾⠏⢿⣿⣿⣿⣯⣙⢷⡄⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣻⢿⣷⣀⣷⣄⠀⠀⠀⠀⢸⠀ ⢸⠃⠠⣼⠃⠀⠀⣠⣾⡟⠀⠈⢿⣿⡿⠿⣿⣿⡿⠿⠿⠿⠷⣄⠈⠿⠛⠻⠶⢶⣄⣀⣀⡠⠈⢛⡿⠃⠈⢿⣿⣿⡿⠀⠀⠀⠀⠀⡀ ⠟⠀⠀⢻⣶⣶⣾⣿⡟⠁⠀⠀⢸⣿⢅⠀⠈⣿⡇⠀⠀⠀⠀⠀⣷⠂⠀⠀⠀⠀⠐⠋⠉⠉⠀⢸⠁⠀⠀⠀⢻⣿⠛⠀⠀⠀⠀⢀⠇ ⠀⠀⠀⠀⠹⣿⣿⠋⠀⠀⠀⠀⢸⣧⠀⠰⡀⢸⣷⣤⣤⡄⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⢼⡇ ⠀⠀⠀⠀⠀⠙⢻⠄⠀⠀⠀⠀⣿⠉⠀⠀⠈⠓⢯⡉⠉⠉⢱⣶⠏⠙⠛⠚⠁⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠻⠄⠀⠀⠀⢀⣿⠀⢠⡄⠀⠀⠀⣁⠁⡀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⡟⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢠⡇

⠀⠀⠀⠀⠀⠀⢀⣤⣶⡶⠦⣤⣠⣴⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⣿⣿⢿⠷⢼⣿⣿⣿⣷⣍⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣘⣒⣤⡀⠀⠈⢻⡷⠶⠒⠚⣿⠥⠥⠥⣍⠳⣌⠻⣆⠀⢀⠀⠀⠀⠀⠀⠀ ⠠⠤⢬⣹⣿⣦⣶⣯⣤⣤⣤⣾⣁⣀⡀⠀⠈⠻⡟⠀⠘⣷⣅⣠⣾⣛⣯⣅⠀ ⠀⠀⠀⢙⣿⡟⢰⣿⣿⣿⣿⡟⢩⣿⣿⣿⣿⣶⣿⣶⣤⣮⣿⣿⣯⢴⢴⢥⣅ ⠀⠀⢀⣿⣿⣧⣸⣿⣿⣿⣿⡇⣾⣿⣿⣿⣿⣿⡿⠛⠿⠿⣿⣿⣿⣷⣷⡄⠀ ⠀⠀⣼⠫⢈⠻⣿⣿⡿⠿⢿⣷⣿⣿⣿⣿⣿⡿⢧⣀⠀⠀⠀⠈⣹⣿⡿⠯⠀ ⠀⠀⢿⡀⠘⢳⡀⠈⣙⣶⡖⠛⠛⠛⠛⠛⠋⠀⠀⠌⢳⠀⢼⣦⣿⣿⡇⠀⠀ ⠀⠀⠘⢷⣤⣤⠙⠚⠁⠀⠙⠦⣄⡀⠀⢀⣠⠗⠂⠔⡸⠀⠈⠟⣿⣿⠃⠀⠀ ⠀⠀⠀⠈⠻⣷⣤⣜⣄⠀⠀⠀⠈⠉⠉⠉⠁⠐⠒⠉⢠⣶⣶⣶⣾⣿⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠙⣻⣷⠀⠀⠀⠀⠀⠰⠷⢿⣷⣤⣴⣿⠿⢛⣵⣿⡿⢤⡀ ⠀⠀⠀⠀⠀⠀⠀⣺⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠉⠁⠁⣽⣿ ⠀⠀⠀⠀⠀⢀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣄⣀⢴⡻⣿

➖🟧⬛➖⬛🟧 ➖🟧🟧🟧🟧🟧 🟧🟫🟫🟧🟫🟫🟧 🟧⬜⬛🟧⬛⬜🟧 🟧⬜⬛🟧⬛⬜🟧 🟧🟨🟨🟪🟨🟨🟧 ➖🟧🟨🟨🟨🟧

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢠⣤⡀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡠⢊⣾⡿⡙⣿⣉⠴⠻⣻⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣀⡀⠀⡸⠀⣌⠗⠋⠉⠛⠍⠀⠙⢠⡇⢴⠯⠥⠄⠀⠀⠀⠀ ⠀⠀⡪⠍⢛⣿⡃⠀⣽⠀⠀⠀⠀⠈⢆⠀⠀⢹⢦⡀⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⢠⡿⠟⢾⠠⠼⡀⠀⠀⠀⠀⠈⡄⠀⠀⣏⠩⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⣿⣤⢀⣀⡆⠱⡠⠤⠤⠤⢀⣗⠒⡸⢩⢹⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⡟⠁⡀⠈⢃⠀⠈⠐⠒⠚⡢⠞⡁⡠⠚⣿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⣯⣿⠀⢀⠈⠐⢒⡨⡁⠀⢀⣬⣷⣾⣃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠓⣿⠷⢖⡇⡠⠚⢲⠛⢥⠃⠀⠀⡕⠊⠉⢢⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⡿⠿⠛⢇⣀⣇⢀⠌⠀⠀⠀⠇⠀⠀⠀⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣄⣀⠐⠶⢄⠀⠀⠀⠀⢀⠼⠄⢀⣀⠜⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡟⠛⠋⠀⠀⠀⠉⠐⠒⠒⠉⠀⠀⠀⡜⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⣀⠄⠊⠀⠀⠀⠀ ⠀⣠⡶⣻⠟⠉⠻⡟⢻⣿⡶⡟⠀⢀⠛⠐⡲⠚⠋⡟⠀⠀⠀⠀⠀⠀ ⣼⠿⠇⠀⢀⠠⠤⠄⠚⠋⢠⠁⠀⡌⠀⡰⠁⠀⡘⠀⠀⠀⠀⠀⠀⠀ ⢣⠀⡠⢠⡇⠀⠀⠀⠀⠀⡎⠀⠰⠀⡰⠁⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⣷⣧⣾⠇⠀⠀⠀⠀⠰⠀⠀⣆⡐⠁⠀⢠⣇⢀⣀⡀⢀⣀⡀⠀⠀ ⠀⠉⣉⣁⣀⣀⣀⣀⠤⠁⠀⠀⠣⡀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠙⣦⠀ ⠀⣎⠄⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⢈⣦⣤⣄⠀⢀⡆⠀⠀⠱⢀⣏⣀ ⠀⡇⠀⡆⠀⠀⢠⠀⠀⣠⠔⠒⠛⠉⠁⠀⠉⠁⠀⠛⠒⠒⠉⠉⠉⠁ ⠉⠉⠀⠐⠒⠒⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠈⠹⡄⠀⡏⠁⠀⠀⠹⡟⣿⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⡇⠀⠀⠀⠀⣿⢿⡀⠀⠀⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢇⠀⢸⠀⠀⠀⠀⣿⣸⡇⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⢸⠀⠀⠀⠀⢸⠸⣇⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⣤⣶⣶⣶⡤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣦⠈⡇⠀⠀⠀⢸⡆⣿⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣆⠉⣶⣶⣿⣿⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣇⠀⣇⠀⠀⠀⠀⡇⣿⠀⠀⠀⢻⠘⢆⠀⣇⠀⠀⡿⡏⠿⠘⣿⢻⡿⣾⣿⣿⣿⣿⣿⣿⡄⠙⢆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢿⡆⢸⠀⠀⠀⠀⢳⢸⡄⠀⠰⢾⣄⠈⢆⢸⠀⣀⣷⡥⠴⠶⢤⣀⢀⡟⡏⠹⠇⢹⡏⢿⣿⡀⠈⢧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣦⢸⡀⠀⠀⠀⢸⠸⡇⠀⠀⠀⡏⢣⣼⣾⠟⠉⠀⠀⠀⠀⠀⣀⡽⠗⠒⠒⠦⣌⠀⠘⠿⡇⠀⢸⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣶⠀⡇⠀⠀⠀⢸⡄⣇⠀⠀⢠⣿⠋⡽⠁⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⢳⡦⢤⣄⠀⠐⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⡄⢃⠀⠀⠀⠀⣧⣿⢀⣴⣿⡟⢸⠓⠢⣤⣄⣀⣀⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠉⠀⢾⡇⠀⠀⠀⠤⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⢇⢸⠀⠀⠀⠀⣿⣻⣾⠏⠋⠁⠸⡄⠀⠈⠁⢈⠟⠓⢶⣤⣀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⢠⣿⣦⡔⣁⠤⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⢸⢸⡀⠀⠀⠀⢸⣿⡏⠀⠀⡠⠚⠉⠓⠶⡎⠙⠢⡀⠀⠀⠀⠉⠒⠤⣀⠀⢀⡞⠀⠀⠀⠠⣾⣿⣿⣏⡡⠤⠀⠠ ⠀⠀⠀⠀⠀⠀⢸⡈⡇⡇⠀⠀⠀⢸⣿⣿⣷⢸⠁⠀⠀⠀⢀⣾⠓⠒⠣⣄⠀⠀⠀⠀⠀⢀⡹⠋⠀⠀⠀⠀⠀⠉⠉⠛⣻⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⡇⠁⣧⠀⠀⠀⢸⣿⣿⠃⠈⠳⠤⠤⠴⠋⠘⡆⠀⠀⠀⠉⠑⠒⢲⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⠀⠀⠀⠀ ⠀⠀⠀⢀⣀⣀⣀⣧⣠⣿⣀⣀⣀⣀⣿⣿⣀⣀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠠⢸⠇⠀⠀⠀⠀⠀⠀⠀⠰⣾⣿⣿⡿⠀⠀⠀⠀ ⠀⠉⣽⣿⠟⠉⠹⣿⠿⠟⠛⢻⡏⠁⠀⠙⢿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠈⠳⣤⣀⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⣿⠃⠀⠀⠀⠀ ⣀⣐⣛⣇⠀⠀⠀⣿⣀⣠⣤⢈⣇⠀⠀⠀⠀⠙⣿⣇⣀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣠⣾⠋⠀⠀⠀⠀⠀ ⠉⠉⠉⠉⣦⠀⠀⠈⠁⠉⠙⠿⠿⠟⠛⠋⠉⠉⠁⣠⠟⠙⠿⠂⠀⠀⠀⠀⠀⡀⠀⣀⣶⣿⣷⣀⣀⣼⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⠇⠀⠀⣠⠖⠒⠂⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⠿⠛⠁⠀⠀⠉⠻⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⠞⠁⣤⣀⣰⠁⠀⠀⠀⠀⣀⣀⣤⠴⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀ ⡴⠁⣠⠞⠁⣀⠟⠀⠀⠀⡼⠋⠁⢸⡇⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀ ⣇⡞⠁⢠⠞⠁⠀⠀⣠⣾⡇⠀⠀⢸⣧⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠪⢛⣦⡀⠀⠀⠀⠀⢳⡆⠀⠀⠀ ⠈⠳⣄⣿⣀⢀⣠⡾⠋⠌⡇⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⣄⠀⠀⣿⠇⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠀⡏⠀⠀⣇⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢙⣇⢠⡾⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢿⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⡟⠁⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣾⣿⠿⠿⠿⠷⢶⣦⣤⣀⠀⠀⠀⠀⢀⣠⣤⣶⠶⠿⠿⠿⢿⣿⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠉⠻⢷⣦⣠⣾⠟⠋⠁⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡿⣦⠉⠉⠉⠛⠍⠛⢷⣄⠀⠀⠈⠉⠀⠀⢀⣴⠟⠋⠙⠋⠙⠉⢡⡾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠐⢿⣿⣦⣄⠈⢿⣟⢷⡌⠁⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⢉⣴⢟⣿⠏⢀⣤⣶⡿⠗⠀⠀⠀⠀ ⠀⢠⣤⣤⣤⣀⡈⠛⢿⣧⡈⢿⣦⡉⠀⠀⠀⠀⠀⣀⣀⣀⡀⠻⣦⢠⡾⠃⣀⣀⣀⣀⠀⠀⠀⠀⠈⣠⣾⠋⣰⡿⠟⠉⣀⣠⣤⣤⣄⠀ ⠀⠀⠉⠉⠛⠻⢿⣷⣦⠈⣳⣴⡿⢿⣤⣀⣴⠾⠛⠉⠉⠉⠛⠳⣿⣿⡷⠛⠋⠉⠉⠙⠻⢶⣄⣠⣾⠿⢷⣄⡋⢠⣶⡿⠿⠛⠋⠉⠁⠀ ⠀⣤⣶⣶⣶⡿⠿⠶⣦⣾⣿⣿⡀⠀⣽⠟⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡅⠀⣸⣿⣿⣦⡲⠾⠿⣷⣶⣶⣦⡀ ⠀⠉⠉⠀⠀⠀⣠⣾⠿⢿⢿⠿⠃⣼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠺⢿⢿⠟⢿⣦⡀⠀⠀⠈⠉⠁ ⠀⠀⠀⠀⢀⣾⢟⣡⡀⠀⠀⠀⣸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡀⠀⠀⠀⢀⣙⣿⣆⠀⠀⠀⠀ ⠀⠀⠀⣰⣿⣿⣿⡟⡤⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⢰⡜⣿⣿⣻⣧⡀⠀⠀ ⠀⠀⣴⡿⣿⣿⣿⣾⡗⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠘⣿⣿⣿⣿⡿⣷⡀⠀ ⠀⣸⣿⠁⠀⠉⠘⠁⠀⠀⠀⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠙⠈⠁⠀⠹⣷⡀ ⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧ ⣼⡟⠀⠀⠀⢀⡴⠟⠋⠉⠓⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠒⠋⠉⠛⢷⣄⠀⠀⠀⠸⣿ ⣿⣇⣆⠀⠀⢸⡇⠀⠀⠀⠀⠸⣷⠦⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⢀⣇⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⡤⢴⡿⠀⠀⠀⠀⠀⣿⠀⠀⢠⣇⣿ ⣿⣿⣿⣿⡄⠈⠷⣄⡀⠀⠀⢀⢻⣆⠀⠈⠉⠉⠉⠉⠛⠿⠿⠟⠉⡏⠙⠿⠿⠟⠛⠉⠉⠉⠉⠀⢀⣾⠃⠀⡀⠀⣀⡴⠋⠀⣼⣿⣿⣿ ⢸⣿⣿⠿⠛⠀⠀⠈⠉⠓⢧⠎⠀⠻⣦⡀⠀⠀⠀⠀⠀⢀⣤⠖⠛⠛⠛⢶⣄⠀⠀⠀⠀⠀⠀⣠⡾⠃⠈⣦⠷⠋⠉⠀⠀⠘⠻⣿⣿⡿ ⠀⢻⣿⡄⠀⠀⠀⠀⠀⠀⢾⡀⠀⠀⠈⠛⠷⢦⣤⣤⣤⡾⣧⣀⣀⣀⣀⣠⣿⣦⣤⣤⣤⠶⠟⠋⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢀⣼⡿⠃ ⠀⠀⠙⢿⣦⣶⣤⣦⣶⣆⠘⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⣿⢿⣍⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⢀⣶⣦⣦⣴⣤⣾⠟⠁⠀ ⠀⠀⠀⠀⠉⠻⢿⣿⣿⣅⣀⡈⠙⠷⣤⣀⣀⠀⠀⠀⣀⣠⣴⠞⠁⠀⠙⢷⣤⣀⡀⠀⠀⢀⣀⣠⡴⠟⠁⣀⣀⣽⣿⣿⠿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⢻⣿⣂⣀⣈⣉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⢉⣉⣀⣀⣺⣿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠙⠛⠻⠶⠶⣶⣶⣶⣶⣶⣶⣶⣶⡶⠶⠾⠛⠛⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣿⣶⣶⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠘⢿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠈⠻⣿⣿⣿⣿⣆⠀⠀⠀⢀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣀⣤⣶⣶⣌⠻⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⠁⣰⣿⣿⣿⣿⣿⣦⣙⢿⣿⣿⣿⠄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣦⣹⣟⣫⣼⣿⣿⣶⣿⣿⣿⣿⣿⣿⣯⡉⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⢻⣿⣿⣿⣿⣿⡇⠀⠀⠈⠉⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣴⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⡇⠀⠸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⢿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣶⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣧⣄⣐⣀⣀⣀⣀⣀⡀ ⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠁⠛⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁

.　 +⠀ ⠀ ⠀˚⠀ ⣴⠟⠉⠉⠛⢦⡀⢀⣴⠛⠉⠈⠙⠻⣄ ⠀⠀⣼⠃⠀⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⠹⣦ ⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡆ ⠀⠀⠀⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃ ⠀⠀⠀⠀⠀⠻⢦⣄⠀⠀⠀⠀⠀⣠⡴⠛ ⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⣄⠶⠋ ⠀⠀⠀+. *

⠀⠀⠀⠀⡠⠤⠤⢄⡀⠀⡴⠋⠉⠉⠓⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠁⠀⢀⠀⠈⠲⡇⠀⠐⠦⣄⠀⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⡇⠀⠀⠙⠢⡀⢣⠀⠀⠀⢈⠳⣄⠀⠘⢦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠘⣄⡤⠖⠒⠚⡾⠓⠉⠉⠀⠉⠙⠢⣤⠞⢁⣿⠓⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣼⣿⠋⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣟⣿⡄⠀⡿⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣿⣿⡇⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣯⠦⡸⠃⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡞⢿⣶⣇⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠏⠀⠀⠀⢠⠞⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡷⣄⡈⠙⢿⡒⠒⠖⢻⡖⠒⠒⠒⠒⠒⠀⠒⢺⠇⠀⠀⠀⠀⠀⣠⡾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⣧⣀⡀⠀⠀⠈⠑⢾⣉⣉⡻⠒⠤⠄⠤⠐⠊⠁⠀⠀⠀⠀⠀⠈⣁⣠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢹⣍⣁⡀⠀⠀⠀⠀⡎⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣉⣉⡝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠻⣄⣠⠄⠀⠀⠀⠇⠀⠑⢄⠀⠀⠀⠀⠀⠀⢀⡀⠢⣄⣈⣩⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠣⣴⡟⢳⠀⠀⠀⠀⠀⠀⠀⢶⣄⠘⣦⣈⢻⣦⡬⠛⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢹⣧⠀⠀⠀⠀⠀⠀⠘⠛⠉⠉⠉⠉⠀⣠⠞⠁⣸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠋⠈⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠞⠁⢸⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠾⢯⡉⠛⢷⡲⠀⣴⠟⠁⣹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣜⠛⠛⠦⠄⠉⠀⠀⠉⠀⠀⢀⡴⠋⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⡀⢰⡟⠛⣒⠂⠀⠀⠀⠀⠀⠀⠀⠈⠀⣠⠟⢳⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠀⠀⠀⠀⢸⡄⠀⢸⠇⠀⣟⣛⣋⣁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢀⣼⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⠤⢿⠀⠀⠀⠀⣸⠇⠀⠘⣆⠀⠘⢏⣉⣡⡴⠀⠀⠀⠀⠀⠀⠀⠀⠚⠻⢀⡇⠀⠀⠀⠀⠀⠀⠀ ⢠⡎⠁⡠⠾⣀⠔⠊⠉⠀⠀⠀⢀⡬⠟⠉⠉⠙⠯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠚⠋⠓⣖⠒⡦⠤⣀⠀⠀ ⠸⡄⢸⠀⠀⡏⢠⠊⢀⡴⠂⢠⠋⣀⠔⠀⣠⠤⠆⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠠⠤⣤⠾⣴⣥⡔⠚⠓⡄ ⠀⠈⠙⠳⠤⠽⣧⠀⢸⡀⠀⢸⢰⠃⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠁⠙⡄⠀⠈⢦⠀⠙⢦⡈⠑⢾ ⠀⠀⠀⠀⠀⠀⠈⠑⠢⠛⠢⠤⠿⠧⣀⠳⡀⠀⠀⠀⢀⣄⠀⠀⣸⠁⠀⠀⠀⠘⡄⠀⠀⢣⠀⠀⠱⡀⣸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠑⠒⠒⠉⠀⠉⠉⠈⢧⠀⠀⠀⠀⠃⠀⠀⠘⡄⠀⠀⡹⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠢⠤⣀⣄⣀⣀⣀⡧⠴⠊⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣅⣁⢈⣭⣿⣷⣾⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣴⣖⣦⣤⣲⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣯⡿⠟⠋⠉⠻⡟⢟⡽⣗⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⢞⢝⣍⢿⣹⡿⠳⣛⣋⣓⣩⣲⡤⡀⠀⠀⠀⠀⠀⣰⡿⣣⠟⠁⠀⠀⠀⠀⠀⠘⢑⡻⣟⡧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠐⣿⣽⡿⣿⣟⡁⠀⠀⠀⠉⠉⢻⣟⠋⠝⢓⢤⣠⡴⣶⡿⣟⣭⣓⠖⠢⣤⣀⣀⣀⣬⡶⣻⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣹⣫⢿⡇⣃⠴⡀⣀⡠⠤⠶⠒⣺⠿⣟⢸⣯⣃⣳⡾⡲⠷⣮⣥⣼⣮⣤⣥⣾⣿⣿⣻⡿⢯⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢘⠣⣿⣿⣶⣾⣿⣷⣶⡂⢩⡭⢊⣽⣿⡿⠿⠿⢿⣦⣴⣙⠈⠙⠏⠉⠋⠉⠀⠩⠀⠂⠀⢀⣤⢤⣤⣤⣂⣅⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠀⠉⠉⠙⠟⡟⢛⠋⡵⣻⣿⠏⠀⠀⠀⠘⢿⢯⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⣀⠖⣫⠵⢏⣽⣿⣿⡧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⣩⢅⡏⠀⠀⠀⠀⠀⠈⠫⣳⠄⢹⡆⠀⠀⠀⠀⣢⣴⣿⣿⣿⠟⠁⠈⢿⢿⡿⠄⠀ ⠀⠀⣰⣾⣏⣩⣉⠰⣄⠀⠀⠀⠀⣠⢖⣴⢟⠎⠀⠀⠀⠀⠀⠀⠀⠀⠉⠷⣾⣿⡀⠀⢠⣾⣿⣿⡿⠟⠁⠀⠀⠀⣸⣾⠣⠂⢀ ⠀⣰⡇⠈⠙⠤⣽⣿⣹⣷⣤⣈⣴⣩⡤⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠒⠛⠛⡫⠁⠀⠀⠀⣀⣴⣾⡿⠃⠁⠀⠘ ⢰⣿⣹⡄⠀⠀⠀⠉⠛⠻⠿⠛⠋⠉⠂⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⣀⡀⣤⡶⠁⢼⣿⠃⠀⠀⠀⠀ ⢹⡇⠂⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡁⡆⠡⣬⣧⣀⡜⠁⠀⠀⠀⠀⠀ ⠀⠱⡄⢂⠣⠀⣠⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⢶⠃⠙⠋⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠢⢀⣙⠿⣿⡿⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡾⡄⠀⠀⠀⣀⣀⠀⠀⠀⡄⠀ ⠀⠀⠀⠀⠀⠈⠑⠊⠁⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠺⢿⣿⣿⡶⡤⣕⡤⠀⠂⠀ ⠀⢀⠀⣤⠔⠆⢶⣶⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠁⠄⠀⠀ ⠁⣠⡎⠀⣀⣠⡾⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠄⠀⠀⠀ ⠀⣿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀ ⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⋆౨ৎ˚⟡˖ ࣪⋆୨୧⋆⋆ ˚｡⋆୨♡୧⋆ ˚｡⋆

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