시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 256 MB34492487206774.513%

문제

m행 n열로 이루어진 그리드가 주어진다. 일부 칸에는 박스가 들어 있다. 모든 박스가 더 이상 움직일 수 없을 때 까지 아래로 움직인다면, 박스는 쌓여진 상태가 된다.

그림 (a)의 그리드의 크기는 5행 4열이고, 7칸에는 박스가 들어있다. 모든 박스가 계속해서 아래로 움직이면, 그림 (b)와 같이 변하게 된다.

박스가 움직인 거리는 바닥에 쌓이기 전 까지 이동한 칸의 개수이다. 예를 들어, 맨 왼쪽 열에서 가장 위에 있는 박스가 움직인 거리는 2이다. 모든 박스가 이동한 거리 (각 박스가 이동한 거리의 합) 을 구하는 프로그램을 작성하시오. 위의 예제에서 박스 7개가 움직인 거리는 8이다.

입력

첫째 줄에 테스트 케이스의 개수 T가 주어진다. 각 테스트 케이스의 첫째 줄에는 m과 n이 주어진다. (1 ≤ m, n ≤ 100) 다음 m개 줄에는 그리드의 각 행의 정보를 나타내는 n개의 정수가 주어진다. 그리드 첫 행부터 마지막 행까지 순서대로 주어진다. 박스가 들어있는 칸은 1로, 다른 칸은 0으로 주어진다. 각 정수 사이에는 공백이 하나 주어진다.

출력

각 테스트 케이스마다 입력으로 주어진 그리드에서 모든 박스가 이동한 거리를 출력한다.

예제 입력 1

3
5 4
1 0 0 0
0 0 1 0
1 0 0 1
0 1 0 0
1 0 1 0
3 3
1 1 1
1 1 1
0 0 0
5 6
1 0 1 1 0 1
0 0 0 0 0 0
1 1 1 0 0 0
0 0 0 1 1 1
0 1 0 1 0 1

예제 출력 1

8
6
16
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