5277. Count Square Submatrices with All Ones

Given a m * n matrix of ones and zeros, return how many square submatrices have all ones.

 

Example 1:

Input: matrix =
[
  [0,1,1,1],
  [1,1,1,1],
  [0,1,1,1]
]
Output: 15
Explanation: 
There are 10 squares of side 1.
There are 4 squares of side 2.
There is  1 square of side 3.
Total number of squares = 10 + 4 + 1 = 15.
Example 2:

Input: matrix = 
[
  [1,0,1],
  [1,1,0],
  [1,1,0]
]
Output: 7
Explanation: 
There are 6 squares of side 1.  
There is 1 square of side 2. 
Total number of squares = 6 + 1 = 7.
 

Constraints:

1 <= arr.length <= 300
1 <= arr[0].length <= 300
0 <= arr[i][j] <= 1

来源：力扣（LeetCode）
链接：https://leetcode-cn.com/problems/count-square-submatrices-with-all-ones
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暴力破解

选好一个起点，每个数都会当一次起点

然后从起点开始，一圈一圈往外扩展，扩展一圈就+1

直到遇到0，就结束扩展，更换下一个起点，遍历所有起点需要 N*M，然后每个起点最多查询N*M的信息，所以复杂度就是 N*M*N*M

class Solution {
public:
    int countSquares(vector<vector<int>>& matrix) {
        int count=0;
        int x = matrix.size();
        int y = matrix[0].size();

        for(int a=0;a<x;a++){
            for(int b=0;b<y;b++){
                int flag=1;
                for(int t=0;b+t<y&&a+t<x;t++){
                    for(int l=0;l<=t;l++){
                        flag=flag&matrix[a+t][b+l]&&matrix[a+l][b+t];
                    }
                    flag=flag&matrix[a+t][b+t];
                    if(flag){
                        //cout<<a<<b<<t<<endl;
                        count++;
                    }else{
                        break;
                    }
                }
            }
        }
        return count;
    }
};