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⣿⡹⣏⢿⣹⢏⡿⣹⢏⡿⣹⢏⣿⡹⣏⡿⣹⢏⣿⡹⣭⢯⣽⡛⢯⡹⡕⢮⠛⣍⠫⡭⢝⠎⡽⠩⠹⣍⢹⠭⣏⠽⣙⢯⣝⣫⢟⡽⣫⢟⣽⢫⣟⡽⣫⢟⡽⣫⢟⡽⣫⢟⡽⣫⢟ ⠳⡽⠍⣟⢮⡟⣽⣣⢿⣹⡭⣟⢶⡻⡵⣋⣗⡏⣧⡽⢍⠳⡰⢉⢃⠈⠡⠃⠘⠀⠒⠠⠐⣈⡀⠃⠑⢈⠢⠡⠘⢌⠃⢇⠊⢖⠫⡞⣭⣛⡼⡻⣜⢷⣫⢯⣽⢳⣏⠿⣭⡻⠞⡹⢯ ⠐⡄⢠⡸⣏⣾⢳⣭⢷⣫⢺⣱⣋⡳⣍⠋⢎⣩⠾⡓⣡⣾⢿⣦⡾⢦⡀⠀⢢⡀⠈⢀⠚⠁⠀⠀⠀⠁⠀⠀⠀⠀⠈⠀⠉⠀⠒⢠⠦⣜⠡⣛⡼⢣⠮⢟⡼⢳⣏⡿⣵⢻⡄⢀⠂ ⣄⡈⣶⢽⣣⢯⣻⡬⠷⣬⡷⠛⡑⢠⣂⠷⠺⠁⠀⠀⠸⣞⣷⢺⣯⡼⠏⠀⠀⠀⠀⠀⣴⠶⣶⣦⣠⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⣸⢶⢯⡶⣄⢰⡙⠷⣯⣼⣏⢾⡱⢯⣻⡼⣆⢁ ⣯⢽⡞⣧⢯⡳⡵⣿⡾⠟⠠⡵⠛⠊⠁⠀⠀⠀⠀⠀⠀⠈⠳⠿⠋⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠘⠛⠚⠓⢛⠁⠹⣦⡁⠎⠹⢮⡛⡗⣧⡟⣾⣹ ⣟⣮⢽⡣⣎⡾⢋⢉⡼⢡⠋⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣷⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠂⢈⡉⠳⣔⠂⡹⢿⣷⣼⢳⡽ ⣯⢞⡖⣳⠟⢠⣤⡾⠀⢁⡄⣤⣀⡀⢰⣶⡿⣟⣿⣿⣹⣶⢶⣴⣆⣤⣤⡀⠀⠀⠀⠀⠀⠹⣿⡿⠛⠉⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⣌⠷⢆⠉⢿⣾⣽⢻ ⢳⢮⣿⢉⠢⣿⠏⠀⢰⡏⠀⠀⠈⠙⠳⠿⠿⠿⠿⠿⠿⠿⢾⠟⠋⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋⠉⠙⢧⣀⠀⠀⠀⠀⢀⣴⣶⣄⠀⠈⢆⠈⠈⠄⠻⣯⣾ ⣿⡿⢃⠘⣛⠃⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀⠀⠀⠘⠿⠧⣤⣤⣿⢟⣤⣿⣤⣤⣿⣄⠘⢀⠃⠿⢿ ⣿⣾⣤⣷⣧⠂⠀⠀⢸⡷⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧⣻⣿⣿⣿⣦⣈⣿⠀⠀⢈⠆⢽ ⣿⣿⣿⣷⡿⠂⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠙⠿⣿⣿⣿⣿⢻⣷⠀⠀⠊⢥ ⡉⣿⣿⡟⠁⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣭⣿⠟⠀⠈⢁⠊ ⠠⢍⡡⠀⠀⠀⠛⠙⣿⠃⠀⠀⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡀⠘⣿⡟⣿⠶⠶⣄⣀⣀⡀⠐⠲⢿⡧⠄⢠⣾⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣟⢻⡇⠀⠀⠀⠠⢉ ⠐⣈⠀⠀⠀⠀⠐⠚⠻⣿⣀⠀⠀⠀⠉⠀⠀⠀⠀⢴⣶⠤⠀⠀⠉⢀⣼⣿⡿⢃⠀⣰⣿⠛⠉⣳⠂⣀⣼⣧⠄⠈⠛⠁⠀⢀⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⣸⣾⠇⠀⠀⠀⠐⢂ ⠘⣒⣤⠀⠄⠀⠀⠐⠛⠙⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠟⢻⣿⣿⣿⣿⠇⠀⣸⡿⠁⠀⠀⣹⣶⣤⣄⡀⠀⠛⠿⠀⠀⠀⠀⣿⣏⠀⠀⣰⡿⣷⣿⡄⠀⠀⠀⢈⣶ ⣶⣿⣟⣳⣤⣾⡷⣆⠀⠀⠀⠈⠙⣷⣶⣶⣶⣶⣶⣶⣤⣴⣶⣿⡿⢿⡿⠄⢿⣿⣿⣿⣇⣾⠏⠀⠀⠀⢾⣿⠋⠁⠈⢹⣆⠀⠀⢀⣀⣄⣀⠈⠀⠠⣤⣩⣿⡿⠁⠀⠀⢀⣾⣿⣷ ⣿⣿⡾⣽⢫⣟⣷⡞⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⣿⣿⣧⠄⠁⢠⡄⠀⠉⠉⣹⡇⠀⠀⠀⠀⢸⣟⣦⣀⣠⣿⣿⣷⣶⡟⠉⠉⠙⠷⣶⣾⣿⣿⡯⠀⠀⠀⣴⣿⣿⣻⣽ ⡄⠻⣿⢯⣗⣻⡼⠁⠀⠀⠀⣿⣿⣿⡿⣷⣿⣿⣿⣿⣿⣭⣿⣿⣿⣷⣤⣈⠁⣾⣿⢶⣿⠃⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣧⣄⡀⠀⠀⠀⢹⣿⣿⡿⠇⠀⠀⠙⣿⣷⣿⣿ ⠇⣃⠈⣻⣾⡞⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣯⣿⡿⠋⢻⣿⣿⣿⡿⣿⣿⣿⣿⣟⠛⠋⠁⠀⠀⠀⠀⠀⠀⢠⣾⣿⡿⣿⣿⣿⣿⣿⣿⡟⣿⣷⣾⣾⣿⠋⠀⠀⠀⠀⠀⠀⢈⠙⠻ ⠂⡄⢫⡈⠉⠀⠀⠀⠀⠀⣺⣿⣿⣿⢿⣿⣿⠋⠀⠀⣰⡟⣻⣿⣿⣿⣻⣿⡏⣯⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⣿⣿⣿⢻⡽⣹⢧⡳⣝⢿⡿⢿⡹⣿⢷⣆⡀⠀⠀⠀⠀⠀⠀⡌⢲ ⢏⡔⢀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡿⣿⣿⣿⣿⣶⣿⣿⣿⣯⡙⠻⣿⡿⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⢠⣿⣽⢛⡜⡴⣏⠾⣥⢋⡷⣹⢮⡝⣧⢻⡜⣯⢻⣧⠀⠀⠀⠀⠀⠐⣈⠒ ⣏⣂⠌⡠⠀⠀⢀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⣛⢬⠺⣵⢫⡟⣖⣻⢵⣫⢞⡽⣌⣷⢻⡜⣯⢿⡅⠀⠀⠀⠀⡀⢄⠫ ⢳⡛⣛⢳⡛⣻⢓⠶⣒⢖⡲⣛⣛⣛⢛⡛⣛⢛⡛⣛⢛⡛⣛⣛⣛⢳⠲⣖⠳⡖⢶⠲⣖⢲⡒⣖⢲⣛⢳⡛⣞⢛⡞⢳⡛⣞⣚⢳⡛⡞⡳⢞⣚⡛⣞⢳⣛⡛⣖⠳⡖⣞⢻⡚⢶ ⠋⠙⠋⠋⠙⠙⠋⠛⠉⠋⠙⠉⠋⠙⠋⠙⠉⠋⠙⠉⠋⠙⠉⠉⠋⠋⠛⠉⠛⠙⠋⠛⠉⠋⠙⠉⠋⠙⠋⠙⠉⠋⠙⠋⠙⠉⠋⠋⠙⠙⠙⠋⠙⠙⠉⠋⠙⠙⠉⠛⠙⠉⠋⠙⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣿⡿⣶⣿⣾⡷⣾⢿⢿⣶⣾⣿⣿⡇⠀⠀⠀⠐⢾⡶⢢⣾⣿⣷⡀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠉⠁⠀⢾⣷⡄⠀⣠⡼⠛⡏⢶⣿⡉⠳⡄⠀⠚⢻⠗⠒⣤⣼⠇⠰⢿⡟⠀⠸⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣀⡀⠀⣀⠀⠀⢀⣀⣀⠀⣀⣀⡀⢀⣀⢸⡿⢧⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠃⠸⡷⣟⡿⣿⣿⡽⢟⣿⣿⣯⣿⠉⢙⡟⣢⣿⣷⡆⢀⣀⡀⠀⣠⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠙⠶⠲⠘⠏⠙⠶⠛⠿⠻⠎⠻⠛⠛⠛⠆⠸⠃⠘⠳⠿⠃⠛⠟⠁⠘⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠖⡶⢲⡛⣞⠳⠖⡶⢲⠖⢶⢲⠳⢞⠳⣖⠳⡖⢶⠲⡖⢶⠳⢖⡞⢶⠲⢖⠶⡲⢖⠶⠲⣖⠲⡒⢖⠲⡒⢖⠲⡒⢖⠲⡒⢖⠲⡒⢖⠲⡒⢖⠲⡒⢖⠲⡒⢖⠲⡒⢖⠲⡒⢖⠲

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