답안 #1086178

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1086178 2024-09-09T16:46:26 Z hahahaha Love Polygon (BOI18_polygon) C++17
100 / 100
72 ms 22468 KB
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡤⠤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠛⠉⠀⠀⠀⠀⠈⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠶⣄⡀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠉⠛⠶⣤⣸⡇⠀⠀⠀⠀⣀⣤⣶⣶⠒⠒⠒⠶⣬⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠴⠶⣿⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠒⠶⢿⣭⣀⡀⢻⡀⠀⠀⢠⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⠛⠋⠁⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠷⣴⣞⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠞⠉⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠋⠀⠀⠀⠀⢀⡤⠠⡄⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠁⠀⠀⠀⠀⣠⠖⠋⠀⣸⠇⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢀⡀⠀⠀⠀⠀⠀⠀⢦⡀⠀⠀⠀⠸⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠋⠀⠀⠀⠀⢀⣴⠋⢀⢀⡴⠋⠀⢀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⠀⣼⢿⡄⠀⠀⠀⠀⣆⠀⠉⢦⡀⠀⠀⠀⠘⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⠁⠀⠀⠀⠀⣠⠟⠇⠀⠈⠉⠁⠀⣀⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢰⠏⠀⠻⣄⠀⠀⠀⠹⣄⣰⠟⠁⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡟⠀⢀⣀⡖⠀⣰⠏⠀⠀⠀⠀⠀⢀⣼⣿⠋⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⡟⠀⠀⠀⠹⣦⠀⠀⠀⠀⠁⠀⣶⠀⠀⣴⠛⢧⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣠⠞⣩⡟⠀⠀⠈⠉⠀⢀⡟⠀⠀⢀⣀⣠⣤⣾⡿⠗⠒⠚⣿⠠⣤⠀⠀⠀⠀⠀⠀⠀⢸⣿⠓⠒⠲⠶⠶⠾⢷⣤⣀⣀⠀⠀⠙⣧⠀⠹⣆⣼⠃⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⡴⠟⢁⡼⣿⠁⠀⠀⠀⠀⠀⢸⠃⠀⠀⠈⠉⢠⡾⠋⠀⠀⠀⠀⠸⣆⠙⣧⡀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠻⣆⠉⠁⠀⠀⢹⡄⠀⠈⠁⠀⠀⠘⣷⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣠⡶⠋⢀⡴⠋⢰⡏⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀⢻⡄⢸⣷⣄⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣄⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢰⣾⡥⠴⠞⠋⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⣷⠙⠷⣄⡀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⣿⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⢸⡄⠀⣼⢏⣀⣤⣶⣦⣤⣶⣶⣶⣶⣶⣿⣿⣾⡆⠀⠈⠻⢦⣼⡇⢰⣶⣶⣶⣶⣶⣶⣶⣤⣤⣤⣦⠙⢧⣿⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠘⣇⣼⠏⠘⣿⡿⢿⣿⣿⣿⣿⣿⡏⠉⠉⠉⠙⠃⠀⠀⠀⠀⠉⠁⠘⠛⢻⣿⣿⣿⣿⣿⣟⠛⢛⠷⠀⠀⣿⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡟⣷⠀⠀⠀⠀⠀⠀⠀⢻⡏⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣷⢹⣆⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⢰⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢿⠘⣿⣆⠀⠀⠀⠀⠀⠐⠘⣧⠀⠀⠀⠘⢿⣿⣿⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⡿⠃⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⣰⠟⠐⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⣿⠙⣧⣄⠀⠀⠀⠀⠀⠘⢧⡀⠀⠀⠈⢹⠿⢟⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⡿⠀⡀⠀⠀⣼⠃⠀⠀⠀⠀⣀⡾⠋⠀⣴⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠀⣿⠝⠳⣤⣀⡀⠀⠀⠈⢷⣤⠇⢠⡞⠠⠾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠁⡾⠃⣠⡾⠃⠀⠀⣀⣤⠾⠋⠀⠀⠀⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣸⣿⠀⠀⠀⠉⠙⠓⡶⠦⠤⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⢰⡿⠤⠴⠶⣿⠉⠀⠀⠀⠀⠀⢠⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⢻⠀⠀⠀⠀⠀⠃⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⣄⠀⠀⠀⠀⠀⠀⠀⢀⣴⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⢸⡇⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⢸⡇⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠲⠤⣤⠤⠴⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⢸⠇⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⢸⡇⠀⠀⠀⠀⠀⢸⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀⠀⠀⠀⠀⠀⢺⢀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢷⠛⣇⠀⠀⠀⠀⠀⠈⣿⠉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣅⣸⠀⠀⠀⠀⠀⠀⢀⣿⢸⡀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠘⣀⣿⠀⠀⠀⠀⠀⢷⢸⡄⠀⠈⠙⠶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠟⠁⠀⠈⣿⠀⠀⠀⠀⠀⠀⠈⡟⣼⡇⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⢿⢿⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠉⠛⠶⢤⣤⣀⣀⠀⣀⡀⠀⠀⠀⠀⠀⢀⣠⡴⠞⠋⠁⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⢠⡇⢹⣤⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⡿⢸⡆⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠟⠋⠉⠁⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⢸⡇⠈⣟⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⢰⡇⠘⡇⠀⠀⠀⠀⠀⠘⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠆⠀⠀⠀⠀⠀⠀⣼⠁⠀⢻⡀⠀⠸⣇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⣼⠁⠀⣿⠀⠀⠀⠀⠀⠀⠀⠻⣇⣀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⣰⡇⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠈⣷⡀⠀⢻⡄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⢀⡏⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⢻⣦⣄⠀⠀⠀⠀⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⣠⣾⣿⠀⠀⠀⠀⠀⠀⢠⣠⡇⡇⠀⠀⠸⣯⡀⠀⢷⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⣼⠁⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢿⣽⡧⠴⢶⣿⣿⠖⠒⠛⠛⠃⠀⠀⠀⠚⠋⠉⠉⠉⠙⠓⠲⢾⡛⠻⣽⠃⠀⠀⠀⠀⠀⠀⢸⣿⣃⠀⠀⠀⠀⢹⣷⠀⠘⣧⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⠃⠀⢸⡏⠀⠀⠀⢀⣿⠀⠀⠀⠀⢀⣀⠀⠈⠈⢷⠖⠚⠋⠁⢹⡇⠀⢀⣴⠶⠶⢦⣄⣀⣤⡶⠶⠤⠤⠤⠶⠾⠇⢰⡏⠀⠀⠀⠀⠀⠀⠻⣿⣿⣤⡀⠀⠀⠀⠀⢿⣀⠀⠸⣆⠀⠀⠀
⠀⠀⠀⠀⠀⢰⠏⠀⢀⡿⠀⠀⠀⣰⠟⢹⣿⡄⠀⠀⠀⠻⣄⠀⠀⠘⣷⣤⣄⣀⣈⡙⠛⢹⡷⢶⣦⣴⣾⣛⣻⢯⣴⣦⠴⠖⠃⠀⢀⡾⠀⠀⠀⠀⠀⠀⠀⢰⣿⡇⠀⠹⣆⠀⠀⠸⡞⣧⣆⠀⠹⣄⠀⠀
⠀⠀⠀⠀⢠⡟⠀⠀⡼⠁⠀⠀⣰⠏⠀⠈⣟⣧⠀⠀⠀⠀⢻⣆⠀⠀⠈⣧⡿⠀⠈⠉⠛⠛⣻⣿⡿⢿⣿⡍⠉⠀⠀⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⢀⣴⠀⠀⡾⣿⠁⠀⠀⠘⣧⠀⠀⢿⠘⣟⠀⠀⢻⡄⠀
⠀⠀⢀⣠⡟⠀⢀⡾⠃⠀⠀⣰⡏⠀⠀⠀⣻⠘⣧⠀⠀⠀⠀⢻⣷⡄⠀⠘⢷⡀⠀⠀⠀⠀⠩⣉⠁⠈⣛⡁⠀⠀⠀⠀⠀⠀⣀⣾⠁⠀⠀⣀⣠⣟⠁⠀⣠⣤⡟⠀⠀⠀⠀⠘⣧⡄⠘⡇⠙⣇⠀⠀⠻
*/
//#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