/**
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡤⠤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠛⠉⠀⠀⠀⠀⠈⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠶⣄⡀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠉⠛⠶⣤⣸⡇⠀⠀⠀⠀⣀⣤⣶⣶⠒⠒⠒⠶⣬⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠴⠶⣿⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠒⠶⢿⣭⣀⡀⢻⡀⠀⠀⢠⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⠛⠋⠁⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠷⣴⣞⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠞⠉⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠋⠀⠀⠀⠀⢀⡤⠠⡄⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠁⠀⠀⠀⠀⣠⠖⠋⠀⣸⠇⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢀⡀⠀⠀⠀⠀⠀⠀⢦⡀⠀⠀⠀⠸⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠋⠀⠀⠀⠀⢀⣴⠋⢀⢀⡴⠋⠀⢀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⠀⣼⢿⡄⠀⠀⠀⠀⣆⠀⠉⢦⡀⠀⠀⠀⠘⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⠁⠀⠀⠀⠀⣠⠟⠇⠀⠈⠉⠁⠀⣀⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢰⠏⠀⠻⣄⠀⠀⠀⠹⣄⣰⠟⠁⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡟⠀⢀⣀⡖⠀⣰⠏⠀⠀⠀⠀⠀⢀⣼⣿⠋⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⡟⠀⠀⠀⠹⣦⠀⠀⠀⠀⠁⠀⣶⠀⠀⣴⠛⢧⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣠⠞⣩⡟⠀⠀⠈⠉⠀⢀⡟⠀⠀⢀⣀⣠⣤⣾⡿⠗⠒⠚⣿⠠⣤⠀⠀⠀⠀⠀⠀⠀⢸⣿⠓⠒⠲⠶⠶⠾⢷⣤⣀⣀⠀⠀⠙⣧⠀⠹⣆⣼⠃⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⡴⠟⢁⡼⣿⠁⠀⠀⠀⠀⠀⢸⠃⠀⠀⠈⠉⢠⡾⠋⠀⠀⠀⠀⠸⣆⠙⣧⡀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠻⣆⠉⠁⠀⠀⢹⡄⠀⠈⠁⠀⠀⠘⣷⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣠⡶⠋⢀⡴⠋⢰⡏⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀⢻⡄⢸⣷⣄⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣄⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢰⣾⡥⠴⠞⠋⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⣷⠙⠷⣄⡀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⣿⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⢸⡄⠀⣼⢏⣀⣤⣶⣦⣤⣶⣶⣶⣶⣶⣿⣿⣾⡆⠀⠈⠻⢦⣼⡇⢰⣶⣶⣶⣶⣶⣶⣶⣤⣤⣤⣦⠙⢧⣿⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠘⣇⣼⠏⠘⣿⡿⢿⣿⣿⣿⣿⣿⡏⠉⠉⠉⠙⠃⠀⠀⠀⠀⠉⠁⠘⠛⢻⣿⣿⣿⣿⣿⣟⠛⢛⠷⠀⠀⣿⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡟⣷⠀⠀⠀⠀⠀⠀⠀⢻⡏⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣷⢹⣆⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⢰⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢿⠘⣿⣆⠀⠀⠀⠀⠀⠐⠘⣧⠀⠀⠀⠘⢿⣿⣿⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⡿⠃⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⣰⠟⠐⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⣿⠙⣧⣄⠀⠀⠀⠀⠀⠘⢧⡀⠀⠀⠈⢹⠿⢟⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⡿⠀⡀⠀⠀⣼⠃⠀⠀⠀⠀⣀⡾⠋⠀⣴⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠀⣿⠝⠳⣤⣀⡀⠀⠀⠈⢷⣤⠇⢠⡞⠠⠾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠁⡾⠃⣠⡾⠃⠀⠀⣀⣤⠾⠋⠀⠀⠀⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣸⣿⠀⠀⠀⠉⠙⠓⡶⠦⠤⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⢰⡿⠤⠴⠶⣿⠉⠀⠀⠀⠀⠀⢠⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⢻⠀⠀⠀⠀⠀⠃⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⣄⠀⠀⠀⠀⠀⠀⠀⢀⣴⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⢸⡇⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⢸⡇⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠲⠤⣤⠤⠴⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⢸⠇⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⢸⡇⠀⠀⠀⠀⠀⢸⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀⠀⠀⠀⠀⠀⢺⢀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢷⠛⣇⠀⠀⠀⠀⠀⠈⣿⠉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣅⣸⠀⠀⠀⠀⠀⠀⢀⣿⢸⡀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠘⣀⣿⠀⠀⠀⠀⠀⢷⢸⡄⠀⠈⠙⠶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠟⠁⠀⠈⣿⠀⠀⠀⠀⠀⠀⠈⡟⣼⡇⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⢿⢿⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠉⠛⠶⢤⣤⣀⣀⠀⣀⡀⠀⠀⠀⠀⠀⢀⣠⡴⠞⠋⠁⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⢠⡇⢹⣤⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⡿⢸⡆⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠟⠋⠉⠁⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⢸⡇⠈⣟⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⢰⡇⠘⡇⠀⠀⠀⠀⠀⠘⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠆⠀⠀⠀⠀⠀⠀⣼⠁⠀⢻⡀⠀⠸⣇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⣼⠁⠀⣿⠀⠀⠀⠀⠀⠀⠀⠻⣇⣀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⣰⡇⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠈⣷⡀⠀⢻⡄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⢀⡏⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⢻⣦⣄⠀⠀⠀⠀⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⣠⣾⣿⠀⠀⠀⠀⠀⠀⢠⣠⡇⡇⠀⠀⠸⣯⡀⠀⢷⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⣼⠁⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢿⣽⡧⠴⢶⣿⣿⠖⠒⠛⠛⠃⠀⠀⠀⠚⠋⠉⠉⠉⠙⠓⠲⢾⡛⠻⣽⠃⠀⠀⠀⠀⠀⠀⢸⣿⣃⠀⠀⠀⠀⢹⣷⠀⠘⣧⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⠃⠀⢸⡏⠀⠀⠀⢀⣿⠀⠀⠀⠀⢀⣀⠀⠈⠈⢷⠖⠚⠋⠁⢹⡇⠀⢀⣴⠶⠶⢦⣄⣀⣤⡶⠶⠤⠤⠤⠶⠾⠇⢰⡏⠀⠀⠀⠀⠀⠀⠻⣿⣿⣤⡀⠀⠀⠀⠀⢿⣀⠀⠸⣆⠀⠀⠀
⠀⠀⠀⠀⠀⢰⠏⠀⢀⡿⠀⠀⠀⣰⠟⢹⣿⡄⠀⠀⠀⠻⣄⠀⠀⠘⣷⣤⣄⣀⣈⡙⠛⢹⡷⢶⣦⣴⣾⣛⣻⢯⣴⣦⠴⠖⠃⠀⢀⡾⠀⠀⠀⠀⠀⠀⠀⢰⣿⡇⠀⠹⣆⠀⠀⠸⡞⣧⣆⠀⠹⣄⠀⠀
⠀⠀⠀⠀⢠⡟⠀⠀⡼⠁⠀⠀⣰⠏⠀⠈⣟⣧⠀⠀⠀⠀⢻⣆⠀⠀⠈⣧⡿⠀⠈⠉⠛⠛⣻⣿⡿⢿⣿⡍⠉⠀⠀⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⢀⣴⠀⠀⡾⣿⠁⠀⠀⠘⣧⠀⠀⢿⠘⣟⠀⠀⢻⡄⠀
⠀⠀⢀⣠⡟⠀⢀⡾⠃⠀⠀⣰⡏⠀⠀⠀⣻⠘⣧⠀⠀⠀⠀⢻⣷⡄⠀⠘⢷⡀⠀⠀⠀⠀⠩⣉⠁⠈⣛⡁⠀⠀⠀⠀⠀⠀⣀⣾⠁⠀⠀⣀⣠⣟⠁⠀⣠⣤⡟⠀⠀⠀⠀⠘⣧⡄⠘⡇⠙⣇⠀⠀⠻
*/
//#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
using namespace std;
#define i64 long long
#define ld long double
#define bit(n,i) ((n>>i)&1)
#define mp make_pair
#define pii pair<int,int>
#define sz(x) (int)((x).size())
#define FOR(i,a,b) for(int i=a; i<=b; i++)
#define FOD(i,a,b) for(int i=a; i>=b; i--)
#define fi first
#define se second
#define pb push_back
#define all(x) x.begin(),x.end()
#define __sumairu__ main()
#define die_hard_onimai_fan void seggs()
#define file(name) if(fopen(name".inp","r")){freopen(name".inp","r",stdin);freopen(name".out","w",stdout);}
#define brute(name) if(fopen(name".inp","r")){freopen(name".inp","r",stdin);freopen(name".ans","w",stdout);}
#define TIME (1.0*clock()/CLOCKS_PER_SEC)
#define FAST ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
#define ai(n) array<int,n>
#define dbg(x) {cerr<<#x<<' '<<x<<endl;}
#define dbgArr(arr,n) {cerr<<#arr;FOR(_i,1,n)cerr<<' '<<(arr)[_i];cerr<<endl;}
template <typename T,typename U>
ostream& operator<<(ostream &os,pair<T,U>p){
return os<<"{"<<p.fi<<", "<<p.se<<"}";
}
mt19937_64 rd(chrono::steady_clock::now().time_since_epoch().count());
const int P=1e9+7;
//const int P=998244353;
const int inf=1e9;
///check the limits, dummy
const int N=1e5+5;
#define i64 long long
#define debug 0
int n;
unordered_map<string,int>val;
int nxt[N];
namespace sub1
{
bool check(){return n<=20;}
int dp[1<<20];
void solve()
{
memset(dp,60,sizeof dp);
dp[0]=0;
FOR(mask,1,(1<<n)-1)
{
if(__builtin_popcount(mask)&1)continue;
FOR(i,0,n-1)if(bit(mask,i))
{
FOR(j,i+1,n-1)if(bit(mask,j))
{
int pre=mask^(1<<i)^(1<<j);
int cost=(nxt[i+1]!=j+1)+(nxt[j+1]!=i+1);
dp[mask]=min(dp[mask],dp[pre]+cost);
}
}
}
if(dp[(1<<n)-1]>1e9)dp[(1<<n)-1]=-1;
cout<<dp[(1<<n)-1]<<'\n';
exit(0);
}
}
namespace sub2
{
int deg[N];
bool check()
{
FOR(i,1,n)deg[nxt[i]]++;
return *min_element(deg+1,deg+n+1)>0;
}
/// just cycles
bool vis[N];
int cnt;
void dfs(int u)
{
if(vis[u])return;
cnt++;
vis[u]=1;
int v=nxt[u];
dfs(v);
}
void solve()
{
int ans=0;
int odd=0;
FOR(i,1,n)if(!vis[i])
{
cnt=0;
dfs(i);
if(cnt==2)continue;
if(cnt&1)odd++;
ans+=cnt/2;
}
cout<<ans+odd<<'\n';
exit(0);
}
}
namespace full
{
int dp[N][2];
vector<int>adj[N];
int deg[N];
void solve()
{
FOR(i,1,n)
{
deg[nxt[i]]++;
if(i!=nxt[i])adj[nxt[i]].pb(i);
}
queue<int>q;
FOR(i,1,n)if(!deg[i])
{
q.push(i);
}
while(sz(q))
{
int u=q.front();
q.pop();
int v=nxt[u];
if(!--deg[v])q.push(v);
}
vector<int>comp;
auto dfs=[&](auto&& dfs,int u,int ban=0)->void{
comp.pb(u);
int mx=0;
for(int v:adj[u])
{
dfs(dfs,v,ban);
dp[u][1]+=max(dp[v][0],dp[v][1]);
dp[u][0]+=max(dp[v][0],dp[v][1]);
if(v!=ban)mx=max(mx,dp[v][0]-max(dp[v][0],dp[v][1])+1);
}
dp[u][1]+=mx;
if(u==ban)dp[u][1]=0;
};
int ans=0;
FOR(i,1,n)if(deg[i])
{
if(i==nxt[i])
{
dfs(dfs,i);
ans+=max(dp[i][0],dp[i][1]);
}
else if(i==nxt[nxt[i]])
{
FOR(j,0,sz(adj[i])-1)
{
if(adj[i][j]==nxt[i])
{
adj[i].erase(adj[i].begin()+j);
break;
}
}
FOR(j,0,sz(adj[nxt[i]])-1)
{
if(adj[nxt[i]][j]==i)
{
adj[nxt[i]].erase(adj[nxt[i]].begin()+j);
break;
}
}
deg[i]=deg[nxt[i]]=0;
dfs(dfs,i);
dfs(dfs,nxt[i]);
ans+=max(max(dp[i][0],dp[i][1])+max(dp[nxt[i]][0],dp[nxt[i]][1]),dp[i][0]+dp[nxt[i]][0]+2);
}
else
{
FOR(j,0,sz(adj[nxt[i]])-1)
{
if(adj[nxt[i]][j]==i)
{
adj[nxt[i]].erase(adj[nxt[i]].begin()+j);
break;
}
}
dfs(dfs,i);
int tmp=max(dp[i][0],dp[i][1]);
for(int x:comp)
{
dp[x][0]=dp[x][1]=deg[x]=0;
}
comp.clear();
dfs(dfs,i,nxt[i]);
tmp=max(tmp,dp[i][0]+1);
ans+=tmp;
}
}
cout<<n-ans<<'\n';
exit(0);
}
}
die_hard_onimai_fan
{
cin>>n;
int cur=0;
FOR(i,1,n)
{
string s,t;
cin>>s>>t;
if(val.find(s)==val.end())val[s]=++cur;
if(val.find(t)==val.end())val[t]=++cur;
int u=val[s],v=val[t];
nxt[u]=v;
}
assert(cur==n);
if(n&1)
{
cout<<-1<<'\n';
return;
}
full::solve();
if(sub1::check())sub1::solve();
if(sub2::check())sub2::solve();
}
__sumairu__
{
FAST
file("1cum");
int tt=1;//cin>>tt;
while(tt--)seggs();
cerr<<"\nTime elapsed: "<<TIME<<" s.\n";
}
/**
8
leonard emmy
ada emmy
isaac leonard
emmy pierre
pierre bernhard
bernhard emmy
sofia karl
karl sofia
*/
Compilation message
polygon.cpp:59:21: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
59 | #define __sumairu__ main()
| ^~~~
polygon.cpp:283:1: note: in expansion of macro '__sumairu__'
283 | __sumairu__
| ^~~~~~~~~~~
polygon.cpp: In function 'int main()':
polygon.cpp:61:53: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
61 | #define file(name) if(fopen(name".inp","r")){freopen(name".inp","r",stdin);freopen(name".out","w",stdout);}
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
polygon.cpp:286:5: note: in expansion of macro 'file'
286 | file("1cum");
| ^~~~
polygon.cpp:61:83: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
61 | #define file(name) if(fopen(name".inp","r")){freopen(name".inp","r",stdin);freopen(name".out","w",stdout);}
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~
polygon.cpp:286:5: note: in expansion of macro 'file'
286 | file("1cum");
| ^~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2904 KB |
Output is correct |
2 |
Correct |
2 ms |
2652 KB |
Output is correct |
3 |
Correct |
2 ms |
2652 KB |
Output is correct |
4 |
Correct |
1 ms |
2652 KB |
Output is correct |
5 |
Correct |
2 ms |
2652 KB |
Output is correct |
6 |
Correct |
1 ms |
2812 KB |
Output is correct |
7 |
Correct |
1 ms |
2652 KB |
Output is correct |
8 |
Correct |
1 ms |
2908 KB |
Output is correct |
9 |
Correct |
1 ms |
2908 KB |
Output is correct |
10 |
Correct |
1 ms |
2816 KB |
Output is correct |
11 |
Correct |
1 ms |
2652 KB |
Output is correct |
12 |
Correct |
1 ms |
2908 KB |
Output is correct |
13 |
Correct |
1 ms |
3040 KB |
Output is correct |
14 |
Correct |
1 ms |
2652 KB |
Output is correct |
15 |
Correct |
1 ms |
2908 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2652 KB |
Output is correct |
2 |
Correct |
1 ms |
2652 KB |
Output is correct |
3 |
Correct |
1 ms |
2896 KB |
Output is correct |
4 |
Correct |
72 ms |
21960 KB |
Output is correct |
5 |
Correct |
53 ms |
17060 KB |
Output is correct |
6 |
Correct |
55 ms |
22468 KB |
Output is correct |
7 |
Correct |
38 ms |
12740 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
51 ms |
17348 KB |
Output is correct |
2 |
Correct |
51 ms |
18544 KB |
Output is correct |
3 |
Correct |
35 ms |
15044 KB |
Output is correct |
4 |
Correct |
38 ms |
12740 KB |
Output is correct |
5 |
Correct |
54 ms |
22052 KB |
Output is correct |
6 |
Correct |
49 ms |
16612 KB |
Output is correct |
7 |
Correct |
47 ms |
16648 KB |
Output is correct |
8 |
Correct |
40 ms |
16336 KB |
Output is correct |
9 |
Correct |
44 ms |
16080 KB |
Output is correct |
10 |
Correct |
34 ms |
15328 KB |
Output is correct |
11 |
Correct |
1 ms |
2908 KB |
Output is correct |
12 |
Correct |
1 ms |
2652 KB |
Output is correct |
13 |
Correct |
1 ms |
2652 KB |
Output is correct |
14 |
Correct |
1 ms |
2652 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2904 KB |
Output is correct |
2 |
Correct |
2 ms |
2652 KB |
Output is correct |
3 |
Correct |
2 ms |
2652 KB |
Output is correct |
4 |
Correct |
1 ms |
2652 KB |
Output is correct |
5 |
Correct |
2 ms |
2652 KB |
Output is correct |
6 |
Correct |
1 ms |
2812 KB |
Output is correct |
7 |
Correct |
1 ms |
2652 KB |
Output is correct |
8 |
Correct |
1 ms |
2908 KB |
Output is correct |
9 |
Correct |
1 ms |
2908 KB |
Output is correct |
10 |
Correct |
1 ms |
2816 KB |
Output is correct |
11 |
Correct |
1 ms |
2652 KB |
Output is correct |
12 |
Correct |
1 ms |
2908 KB |
Output is correct |
13 |
Correct |
1 ms |
3040 KB |
Output is correct |
14 |
Correct |
1 ms |
2652 KB |
Output is correct |
15 |
Correct |
1 ms |
2908 KB |
Output is correct |
16 |
Correct |
1 ms |
2652 KB |
Output is correct |
17 |
Correct |
1 ms |
2652 KB |
Output is correct |
18 |
Correct |
1 ms |
2896 KB |
Output is correct |
19 |
Correct |
72 ms |
21960 KB |
Output is correct |
20 |
Correct |
53 ms |
17060 KB |
Output is correct |
21 |
Correct |
55 ms |
22468 KB |
Output is correct |
22 |
Correct |
38 ms |
12740 KB |
Output is correct |
23 |
Correct |
51 ms |
17348 KB |
Output is correct |
24 |
Correct |
51 ms |
18544 KB |
Output is correct |
25 |
Correct |
35 ms |
15044 KB |
Output is correct |
26 |
Correct |
38 ms |
12740 KB |
Output is correct |
27 |
Correct |
54 ms |
22052 KB |
Output is correct |
28 |
Correct |
49 ms |
16612 KB |
Output is correct |
29 |
Correct |
47 ms |
16648 KB |
Output is correct |
30 |
Correct |
40 ms |
16336 KB |
Output is correct |
31 |
Correct |
44 ms |
16080 KB |
Output is correct |
32 |
Correct |
34 ms |
15328 KB |
Output is correct |
33 |
Correct |
1 ms |
2908 KB |
Output is correct |
34 |
Correct |
1 ms |
2652 KB |
Output is correct |
35 |
Correct |
1 ms |
2652 KB |
Output is correct |
36 |
Correct |
1 ms |
2652 KB |
Output is correct |
37 |
Correct |
58 ms |
17344 KB |
Output is correct |
38 |
Correct |
53 ms |
17092 KB |
Output is correct |
39 |
Correct |
47 ms |
15820 KB |
Output is correct |
40 |
Correct |
49 ms |
16584 KB |
Output is correct |
41 |
Correct |
51 ms |
15944 KB |
Output is correct |
42 |
Correct |
51 ms |
16840 KB |
Output is correct |
43 |
Correct |
52 ms |
16836 KB |
Output is correct |
44 |
Correct |
51 ms |
17088 KB |
Output is correct |
45 |
Correct |
52 ms |
16880 KB |
Output is correct |
46 |
Correct |
57 ms |
17108 KB |
Output is correct |
47 |
Correct |
52 ms |
16068 KB |
Output is correct |
48 |
Correct |
48 ms |
17348 KB |
Output is correct |
49 |
Correct |
48 ms |
18640 KB |
Output is correct |
50 |
Correct |
31 ms |
15044 KB |
Output is correct |
51 |
Correct |
37 ms |
13000 KB |
Output is correct |
52 |
Correct |
50 ms |
22104 KB |
Output is correct |
53 |
Correct |
54 ms |
16748 KB |
Output is correct |
54 |
Correct |
49 ms |
16576 KB |
Output is correct |
55 |
Correct |
43 ms |
16072 KB |
Output is correct |
56 |
Correct |
46 ms |
16184 KB |
Output is correct |
57 |
Correct |
33 ms |
15560 KB |
Output is correct |
58 |
Correct |
1 ms |
2908 KB |
Output is correct |
59 |
Correct |
1 ms |
2824 KB |
Output is correct |
60 |
Correct |
1 ms |
2652 KB |
Output is correct |
61 |
Correct |
2 ms |
2904 KB |
Output is correct |
62 |
Correct |
1 ms |
2648 KB |
Output is correct |
63 |
Correct |
1 ms |
2652 KB |
Output is correct |
64 |
Correct |
1 ms |
2652 KB |
Output is correct |
65 |
Correct |
54 ms |
21964 KB |
Output is correct |
66 |
Correct |
46 ms |
17092 KB |
Output is correct |
67 |
Correct |
52 ms |
22464 KB |
Output is correct |
68 |
Correct |
35 ms |
13000 KB |
Output is correct |
69 |
Correct |
1 ms |
2908 KB |
Output is correct |
70 |
Correct |
1 ms |
2652 KB |
Output is correct |
71 |
Correct |
1 ms |
2652 KB |
Output is correct |
72 |
Correct |
1 ms |
2652 KB |
Output is correct |
73 |
Correct |
1 ms |
2652 KB |
Output is correct |
74 |
Correct |
1 ms |
2760 KB |
Output is correct |
75 |
Correct |
1 ms |
2652 KB |
Output is correct |
76 |
Correct |
1 ms |
2652 KB |
Output is correct |
77 |
Correct |
1 ms |
2652 KB |
Output is correct |
78 |
Correct |
1 ms |
2832 KB |
Output is correct |
79 |
Correct |
1 ms |
2908 KB |
Output is correct |
80 |
Correct |
1 ms |
2652 KB |
Output is correct |
81 |
Correct |
1 ms |
2652 KB |
Output is correct |
82 |
Correct |
1 ms |
2652 KB |
Output is correct |
83 |
Correct |
2 ms |
2652 KB |
Output is correct |