시간 제한메모리 제한제출정답맞힌 사람정답 비율
2 초 512 MB59431525856.087%

문제

이것은 존이 농장을 개편하기 전의 이야기이다.

존의 농장에는 원형 목초지가 있고, 그 둘레에 길이 둘러져 있다. 존의 소는 매일 아침 이 길을 건너가 풀을 먹고 저녁에 다시 길을 건너가 헛간으로 돌아간다.

이 소들은 자신의 습관대로 매일 똑같은 방법으로 길을 건넌다. 각각의 소는 원형 길의 정해진 한 점을 지나 들어오고, 다른 점을 지나 나간다. 어떤 두 소도 길 위의 같은 점을 지나가지 않는다. 이걸 지켜본 존은 이 점들을 분석해 보기로 했다. 소는 총 N마리고, 1, 2, ..., N이라는 번호가 붙는다. (원래 A부터 Z까지 이름이 있었는데, 소가 많아지면서 더 이상 그 방법을 사용할 수 없게 되었다.) 존은 2N개의 점을 시계방향으로 보면서 각 점을 어떤 소가 지나가는지 기록했다. 이렇게 만들어 낸 길이 2N의 수열에는 각 번호가 두 번씩 나타날 것이다.

어떤 두 소는 어떤 방법으로 걷든 그 경로가 어딘가에서 만나야 될 수도 있다. 그런 소가 총 몇 쌍인지 구해 보자.

입력

첫 줄에 N (1 ≤ N ≤ 50,000)이 주어진다. 다음 2N줄에는 한 줄에 하나씩 길 위의 점을 지나간 소의 번호가 주어진다.

출력

경로가 무조건 만나는 소가 몇 쌍인지 출력한다.

예제 입력 1

4
3
2
4
4
1
3
2
1

예제 출력 1

3
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

출처

Olympiad > USA Computing Olympiad > 2016-2017 Season > USACO 2017 February Contest > Gold 3번

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