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문제

최백준은 서강대학교에서 “컨닝의 기술”이라는 과목을 가르치고 있다. 이 과목은 상당히 까다롭기로 정평이 나있기 때문에, 몇몇 학생들은 시험을 보는 도중에 다른 사람의 답지를 베끼려 한다.

시험은 N행, M열 크기의 직사각형 교실에서 이루어진다. 교실은 1×1 크기의 단위 정사각형으로 이루어져 있는데, 각 단위 정사각형은 자리 하나를 의미한다.

최백준은 컨닝을 방지하기 위해서 다음과 같은 전략을 세웠다. 모든 학생은 자신의 왼쪽, 오른쪽, 왼쪽 대각선 위, 오른쪽 대각선 위, 이렇게 총 네 자리에 앉아있는 친구의 답지를 항상 베낀다고 가정한다. 따라서, 자리 배치는 모든 학생이 컨닝을 할 수 없도록 배치되어야 한다.

위의 그림을 보자. A, C, D 혹은 E에 다른 학생을 앉히는 것은 좋은 생각이 아니다. 그 이유는 이미 앉아있는 학생이 그들의 답안지를 베낄 우려가 있기 때문이다. 하지만, B에 다른 학생을 앉힌다면, 두 학생은 서로의 답지를 베낄 수 없어 컨닝의 우려가 없다.

위와 같이 컨닝이 불가능하도록 자리를 배치 하려는 최백준의 행동에 분노한 일부 학생들이 교실의 책상을 부숴버렸기 때문에, 일부 자리에는 학생이 앉을 수 없다.

최백준은 교실의 모양이 주어졌을 때, 이 곳에서 아무도 컨닝을 할 수 없도록 학생을 배치하였을 경우에 교실에 배치할 수 있는 최대 학생 수가 몇 명인지 궁금해졌다. 최백준을 위해 이를 구하는 프로그램을 작성하라.

입력

입력의 첫 줄에는 테스트케이스의 개수 C가 주어진다. 각각의 테스트 케이스는 아래와 같이 두 부분으로 이루어진다.

첫 번째 부분에서는 교실의 세로길이 N과 가로길이 M이 한 줄에 주어진다. (1 ≤ M ≤ 10, 1 ≤ N ≤ 10)

두 번째 부분에서는 정확하게 N줄이 주어진다. 그리고 각 줄은 M개의 문자로 이루어져있다. 모든 문자는 ‘.’(앉을 수 있는 자리) 또는 ‘x’(앉을 수 없는 자리, 소문자)로 구성된다.

출력

각각의 테스트 케이스에 대해 그 교실에서 시험을 볼 수 있는 최대 학생의 수를 출력한다.

예제 입력 1

4
2 3
...
...
2 3
x.x
xxx
2 3
x.x
x.x
10 10
....x.....
..........
..........
..x.......
..........
x...x.x...
.........x
...x......
........x.
.x...x....

예제 출력 1

4
1
2
46
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However, some students in this school are always trying to see each other&#39;s answer sheet during exams!<\/p>\r\n\r\n<p>The classroom can be regarded as a rectangle of&nbsp;<strong>M<\/strong>&nbsp;rows by&nbsp;<strong>N<\/strong>&nbsp;columns of unit squares, where each unit square represents a seat.<\/p>\r\n\r\n<p>The school principal decided to set the following rule to prevent cheating:<br \/>\r\nAssume a student is able to see his left, right, upper-left, and upper-right neighbors&#39; answer sheets. The assignment of seats must guarantee that nobody&#39;s answer sheet can be seen by any other student.&nbsp;<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/onlinejudgeimages.s3.amazonaws.com\/problem\/12699\/cunning.jpg\" \/><\/p>\r\n\r\n<p>As in this picture, it will not be a good idea to seat anyone in A, C, D, or E because the boy in the back row would be able to see their answer sheets. However, if there is a girl sitting in B, he will not be able to see her answer sheet.<\/p>\r\n\r\n<p>Some seats in the classroom are broken, and we cannot put a student in a broken seat.<\/p>\r\n\r\n<p>The principal asked you to answer the following question: What is the maximum number of students that can be placed in the classroom so that no one can cheat?<\/p>\r\n","input":"<p>The first line of input gives the number of cases,&nbsp;<strong>C<\/strong>.&nbsp;<strong>C<\/strong>&nbsp;test cases follow. Each case consists of two parts.<\/p>\r\n\r\n<p>The first part is a single line with two integers&nbsp;<strong>M<\/strong>&nbsp;and&nbsp;<strong>N<\/strong>: The height and width of the rectangular classroom.<\/p>\r\n\r\n<p>The second part will be exactly&nbsp;<strong>M<\/strong>&nbsp;lines, with exactly&nbsp;<strong>N<\/strong>&nbsp;characters in each of these lines. Each character is either a &#39;.&#39; (the seat is not broken) or &#39;x&#39; (the seat is broken, lowercase x).<\/p>\r\n\r\n<p>Limits<\/p>\r\n\r\n<ul>\r\n\t<li><strong>C<\/strong>&nbsp;= 20<\/li>\r\n\t<li>1 &le;&nbsp;<strong>M<\/strong>&nbsp;&le; 10<\/li>\r\n\t<li>1 &le;&nbsp;<strong>N<\/strong>&nbsp;&le; 10<\/li>\r\n<\/ul>\r\n","output":"<p>For each test case, output one line containing &quot;<strong>Y<\/strong>&quot;, where&nbsp;<strong>Y<\/strong>&nbsp;is the maximum possible number of students that can take the exam in the classroom.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"English"}]

출처

Contest > Google > Code Jam > Google Code Jam 2008 > Round 3 C1번

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