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34090번 - 중간 뒤집기 다국어

시간 제한메모리 제한제출정답맞힌 사람정답 비율
2 초 (추가 시간 없음) 1024 MB (추가 메모리 없음)23414912364.062%

문제

길이가 $N$인 수열 $A$에서, 1ドル\le i\le j\le N$에 대하여 $f(i,j)$를 $A$의 $i$번째부터 $j$번째 원소까지의 연속된 부분수열을 뒤집어서 얻어진 수열로 정의한다. 예를 들어, $A=[3,1,4,1,5]$라면 $f(2,3) =[3,4,1,1,5],ドル $f(1,5) =[5,1,4,1,3],ドル $f(1,1) =[3,1,4,1,5]$이다.

$f(i,j)$에서 $i$와 $j$를 정하는 경우의 수는 $\displaystyle \frac{N(N+1)}{2}$가지가 있다. 수열 $A$가 주어질 때, 모든 $f(i,j)$ 중 서로 다른 수열의 개수를 구하여라.

입력

첫째 줄에 수열 $A$의 길이 $N$이 주어진다. (1ドル\le N\le 500,円 000$)

둘째 줄에 $A$의 원소를 의미하는 $N$개의 정수 $A_{1},A_{2},\cdots ,A_{N}$이 공백으로 구분되어 주어진다. (1ドル\le A_{i}\le 10^{9}$)

출력

$f(i, j)$로 가능한 서로 다른 수열의 개수를 출력한다.

제한

예제 입력 1

4
3 1 4 1

예제 출력 1

6

가능한 $f(i, j)$는 다음과 같다.

  • $f(1, 1) = f(2, 2) = f(2, 4) = f(3, 3) = f(4, 4) =[3, 1, 4, 1]$
  • $f(1, 2) = [1, 3, 4, 1]$
  • $f(1, 3) = [4, 1, 3, 1]$
  • $f(1, 4) = [1, 4, 1, 3]$
  • $f(2, 3) = [3, 4, 1, 1]$
  • $f(3, 4) = [3, 1, 1, 4]$

예제 입력 2

1
20250726

예제 출력 2

1

힌트

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