Given s1, s2, s3, find whether s3 is formed by the interleaving of s1 and s2.
For example,
Given:
s1 = "aabcc",
s2 = "dbbca",
When s3 = "aadbbcbcac", return true.
When s3 = "aadbbbaccc", return false.
给定字符串s1,s2,s3, 判断s3是不是s1和s2中的字交叉组合而成。注意，s1,s2中的字符相对位置在s3中不发生改变
class Solution {
public:
bool isInterleave(string s1, string s2, string s3) {
if(s1.length()+s2.length()!=s3.length())return false;
vector<vector<bool> >matrix(s1.length()+1, vector<bool>(s2.length()+1, false));
//初始化matrix[0][0];
matrix[0][0]=true;
//初始化第一行
for(int j=1; j<=s2.length(); j++){
matrix[0][j]= matrix[0][j-1]&&s2[j-1]==s3[j-1];
}
//初始化第一列
for(int i=1; i<=s1.length(); i++){
matrix[i][0]= matrix[i-1][0]&&s1[i-1]==s3[i-1];
}
//初始化其他单元
for(int i=1; i<=s1.length(); i++){
for(int j=1; j<=s2.length(); j++){
matrix[i][j]=(matrix[i-1][j]&&s1[i-1]==s3[i+j-1])||(matrix[i][j-1]&&s2[j-1]==s3[i+j-1]);
}
}
return matrix[s1.length()][s2.length()];
}
};LeetCode: Interleaving String [097],布布扣,bubuko.com
LeetCode: Interleaving String [097]
原文：http://blog.csdn.net/harryhuang1990/article/details/28092059