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문제

ACM-ICPC 리저널 대회가 열리기 전, 현장 담당관과 자원봉사자들은 매우 바쁘다.

그들의 임무 중 하나는 대회장의 테이블을 적절히 배치하여 인접한 두 테이블에는 서로 다른 학교 출신의 팀이 앉도록 하는 것이다.

이 일은 상당히 힘든 일이기 때문에 일반적으로 사람이 직접 하기보다는 프로그램을 통해 수행한다. 올해는 심사위원들이 이 일을 맡게 되었다.

심사위원들은 프로그램을 통해 자리 배치를 끝냈다. 그 후 가만히 생각해보니, 이 자리 배치 문제가 대회 문제로 상당히 좋을 것 같았다. 따라서 심사위원들은 이 문제의 일부를 실제 대회 문제로 출제하기로 하였다.

심사위원들의 프로그램 작동 방식은 아주 단순하다. 우선 그냥 임의로 자리를 배치시킨다. 이후 어떤 인접한 두 자리에 같은 대학 출신의 두 팀이 앉게 되는지 확인한다. 만일 그러한 자리가 존재한다면 그러한 배치로 혜택을 받는 학교, 즉 인접한 자리에 같은 학교 출신 팀이 앉게 되는 학교가 총 몇 개인지 센다.

대회장은 2차원 평면에 N개의 행, M개의 열로 이루어진 표로 나타낼 수 있다.

표의 각 칸에는 한 팀이 앉거나 아무 팀도 앉지 않는다.

각 팀은 최대 8개의 인접한 팀을 가질 수 있다. 만일 자리가 모서리 쪽이라거나, 주변에 빈 자리가 있는 경우엔 8개 미만의 인접한 팀을 갖게 된다.

예를 들어 위와 같은 상황에서, 팀 E는 7개의 인접한 팀 A, B, C, D, F, G, H를 갖는다.

또한 팀 A는 3개의 인접한 팀 B, D, E를 갖는다.

입력

첫 줄에 테스트 케이스의 수 T가 주어진다. ( 1 ≤ T ≤ 100 )

각 테스트 케이스의 첫 줄엔 대회장의 세로 길이와 가로 길이 N, M이 주어진다. ( 1 ≤ N, M ≤ 100 )

이어 N줄에 걸쳐 M개의 정수로 각 자리에 어떤 팀이 앉게 되는지가 주어진다. 팀의 ID는 1부터 100까지의 정수로 표현되며, 만일 ID가 -1로 주어진다면 그 자리가 비어있음을 의미한다.

출력

각 테스트 케이스마다, 인접한 같은 학교 출신의 팀을 가지는 학교가 총 몇 개인지 출력한다.

예제 입력 1

3
3 3
1 2 3
2 2 2
1 1 1
3 3
1 2 3
3 -1 1
2 -1 2
3 3
1 2 3
-1 1 5
1 2 4

예제 출력 1

2
0
1
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One of their tasks is to assign a table for each team such that no two teams from the same university are adjacent to each other. The site director decided not to waste his time doing this task and asked the judges to do it. The judges thought this could be a good problem to be used in the contest problems set. As they were very busy preparing for the contest, the judges decided to solve part of the problem and ask the contestants to solve the rest.<\/p>\r\n\r\n<p>The judges will generate a number of layouts for the teams assignment to the tables and will ask the contestants to write a program to check whether each of these layouts is valid or not. If a layout is not valid the program should count how many different universities have at least two of their teams sitting adjacent to each other. &ldquo;Well, you may use those solutions for the next year&rsquo;s contest&rdquo;, said by the chief judge Ahmed Aly to the site director.<\/p>\r\n\r\n<p>The contest hall can be represented as a 2D grid of N rows with M cells in each row. Each cell in the grid is either occupied by a team or empty. There could be up to 8 teams adjacent to a single team. A team may have less than 8 adjacent teams if it is seated next to a hall edge or some of its adjacent cells are empty.<\/p>\r\n\r\n<p>For example, in the layout shown in the following figure, team E has 7 adjacent teams, named A, B, C, D, F, G and H, while the adjacent teams to team A are B, D and E.<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"\/upload\/images2\/contesthall.png\" style=\"height:194px; width:187px\" \/><\/p>\r\n","input":"<p>Your program will be tested on one or more test cases. The first line of the input will be a single integer T, the number of test cases (1 &le; T &le; 100). Followed by the test cases, each one starts with a line containing 2 integers separated by a single space N and M (1 &le; N, M &le; 100) representing the dimensions of the hall, followed by N lines each line contains M integers separated by a single space, representing the tables assignment in this row. 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