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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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