Genshin Impact Text Art

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