A15320 | Corners
时间限制1s
内存限制256MB
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题目描述
You are given a matrix consisting of $n$ rows and $m$ columns. Each cell of this matrix contains $0$ or $1$ .
Let's call a square of size $2 \times 2$ without one corner cell an L-shape figure. In one operation you can take one L-shape figure, with at least one cell containing $1$ and replace all numbers in it with zeroes.
Find the maximum number of operations that you can do with the given matrix.
Let's call a square of size $2 \times 2$ without one corner cell an L-shape figure. In one operation you can take one L-shape figure, with at least one cell containing $1$ and replace all numbers in it with zeroes.
Find the maximum number of operations that you can do with the given matrix.
输入格式
The first line contains one integer $t$ ( $1 \leq t \leq 500$ ) — the number of test cases. Then follow the descriptions of each test case.
The first line of each test case contains two integers $n$ and $m$ ( $2 \leq n, m \leq 500$ ) — the size of the matrix.
Each of the following $n$ lines contains a binary string of length $m$ — the description of the matrix.
It is guaranteed that the sum of $n$ and the sum of $m$ over all test cases does not exceed $1000$ .
The first line of each test case contains two integers $n$ and $m$ ( $2 \leq n, m \leq 500$ ) — the size of the matrix.
Each of the following $n$ lines contains a binary string of length $m$ — the description of the matrix.
It is guaranteed that the sum of $n$ and the sum of $m$ over all test cases does not exceed $1000$ .
输出格式
For each test case output the maximum number of operations you can do with the given matrix.
输入输出样例
输入 #1
4 4 3 101 111 011 110 3 4 1110 0111 0111 2 2 00 00 2 2 11 11
输出 #1
8 9 0 2
In the first testcase one of the optimal sequences of operations is the following (bold font shows l-shape figure on which operation was performed):
- Matrix before any operation was performed: 101111011110
- Matrix after $1$ operation was performed: 100101011110
- Matrix after $2$ operations were performed: 100100011110
- Matrix after $3$ operations were performed: 100100010110
- Matrix after $4$ operations were performed: 100000010110
- Matrix after $5$ operations were performed: 100000010100
- Matrix after $6$ operations were performed: 100000000100
- Matrix after $7$ operations were performed: 000000000100
- Matrix after $8$ operations were performed: 000000000000
In the third testcase from the sample we can not perform any operation because the matrix doesn't contain any ones.
In the fourth testcase it does not matter which L-shape figure we pick in our first operation. We will always be left with single one. So we will perform $2$ operations.
- Matrix before any operation was performed: 101111011110
- Matrix after $1$ operation was performed: 100101011110
- Matrix after $2$ operations were performed: 100100011110
- Matrix after $3$ operations were performed: 100100010110
- Matrix after $4$ operations were performed: 100000010110
- Matrix after $5$ operations were performed: 100000010100
- Matrix after $6$ operations were performed: 100000000100
- Matrix after $7$ operations were performed: 000000000100
- Matrix after $8$ operations were performed: 000000000000
In the third testcase from the sample we can not perform any operation because the matrix doesn't contain any ones.
In the fourth testcase it does not matter which L-shape figure we pick in our first operation. We will always be left with single one. So we will perform $2$ operations.
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评测结果：Accepted