Given a 2D binary matrix filled with 0's and 1's, find the largest square containing all 1's and return its area.

For example, given the following matrix:

1 0 1 0 0
1 0 1 1 1
1 1 1 1 1
1 0 0 1 0

在给定的二维字符数组,找出最大全为1的矩形包含的1的个数:

注意这里相当于求面积而已,只要求出边长就很好办了。边长用dp很好求,这题其实跟前面有道dp问题很像,以后有时间找出来,先贴下代码:

 class Solution {
public:
int maximalSquare(vector<vector<char>>& matrix) {
if(!matrix.size()||!matrix[].size()) return ;
vector<vector<int>>dp(matrix.size(), vector<int>(matrix[].size(), ));
int maxVal = ;
for(int i = ; i < matrix.size(); ++i){
if(matrix[i][] == ''){
dp[i][] = ;
maxVal = ;
}else dp[i][] = ;
}
for(int j = ; j < matrix[].size(); ++j){
if(matrix[][j] == ''){
dp[][j] = ;
maxVal = ;
}else dp[][j] = ;
}
for(int i = ; i < matrix.size(); ++i){
for(int j = ; j < matrix[].size(); ++j){
if(matrix[i][j] == ''){
dp[i][j] = min(dp[i-][j], min(dp[i][j-], dp[i-][j-])) + ;
maxVal = max(maxVal, dp[i][j]);
}else
dp[i][j] = ;
}
}
return maxVal*maxVal;
}
};

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