class Solution {
public:
/**
* longest common substring
* @param str1 string字符串 the string
* @param str2 string字符串 the string
* @return string字符串
*/
string LCS(string str1, string str2) {
// write code here
int m = str1.length(), n = str2.length();
vector<vector<int> > dp(m+1,vector<int>(n+1, 0));
int max = 0, index = 0;
for(int i = 0; i < m; i++){
for(int j = 0; j < n; j++){
if(str1[i] == str2[j]){
dp[i+1][j+1] = dp[i][j] + 1;
if(max < dp[i+1][j+1]){
max = dp[i+1][j+1];
index = i;
}
}
}
}
return max == 0?"":str1.substr(index-max+1, max);
}
};