交叉字符串

题目：样例

比如 s1 = "aabcc" s2 = "dbbca"

    - 当 s3 = "aadbbcbcac"，返回  true.

    - 当 s3 = "aadbbbaccc"， 返回 false.

代码：

class Solution {
public:
/**
* Determine whether s3 is formed by interleaving of s1 and s2.
* @param s1, s2, s3: As description.
* @return: true of false.
*/
bool isInterleave(string s1, string s2, string s3) {
// write your code here
if(s3.length()!=s1.length()+s2.length())
return false;
if(s1.length()==0)
return s2==s3;
if(s2.length()==0)
return s1==s3;
vector<vector<bool> > dp(s1.length()+1,vector<bool>(s2.length()+1,false));
dp[0][0] = true;
for(int i=1;i<=s1.length();i++)
dp[i][0] = dp[i-1][0]&&(s3[i-1]==s1[i-1]);
for(int i=1;i<=s2.length();i++)
dp[0][i] = dp[0][i-1]&&(s3[i-1]==s2[i-1]);
for(int i=1;i<=s1.length();i++)
{
for(int j=1;j<=s2.length();j++)
{
int t = i+j;
if(s1[i-1]==s3[t-1])
dp[i][j] = dp[i][j]||dp[i-1][j];
if(s2[j-1]==s3[t-1])
dp[i][j] = dp[i][j]||dp[i][j-1];
}
}
return dp[s1.length()][s2.length()];
}
};

截图：