시간 제한메모리 제한제출정답맞힌 사람정답 비율
10 초 (추가 시간 없음) 1024 MB15012110780.451%

문제

Li has planned a bike tour through the mountains of Switzerland. His tour consists of N checkpoints, numbered from 1 to N in the order he will visit them. The i-th checkpoint has a height of Hi.

A checkpoint is a peak if:

  • It is not the 1st checkpoint or the N-th checkpoint, and
  • The height of the checkpoint is strictly greater than the checkpoint immediately before it and the checkpoint immediately after it.

Please help Li find out the number of peaks.

입력

The first line of the input gives the number of test cases, TT test cases follow. Each test case begins with a line containing the integer N. The second line contains N integers. The i-th integer is Hi.

출력

For each test case, output one line containing Case #x: y, where x is the test case number (starting from 1) and y is the number of peaks in Li's bike tour.

제한

  • 1 ≤ T ≤ 100.
  • 1 ≤ Hi ≤ 100.

Test Set 1 (5점)

  • 3 ≤ N ≤ 5.

Test Set 2 (7점)

  • 3 ≤ N ≤ 100.

예제 입력 1

4
3
10 20 14
4
7 7 7 7
5
10 90 20 90 10
3
10 3 10

예제 출력 1

Case #1: 1
Case #2: 0
Case #3: 2
Case #4: 0

힌트

  • In sample case #1, the 2nd checkpoint is a peak.
  • In sample case #2, there are no peaks.
  • In sample case #3, the 2nd and 4th checkpoint are peaks.
  • In sample case #4, there are no peaks.

채점 및 기타 정보

  • 예제는 채점하지 않는다.