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InterleavingString.java

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/**

* 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.

*/

public class InterleavingString {

public boolean isInterleave(String s1, String s2, String s3) {

if (s1.length() + s2.length() != s3.length())

return false;

boolean[][] mat = new boolean[s1.length() + 1][s2.length() + 1];

mat[0][0] = true;

for (int i = 1; i <= s1.length(); ++i)

mat[i][0] = mat[i - 1][0] && (s3.charAt(i - 1) == s1.charAt(i - 1));

for (int i = 1; i <= s2.length(); ++i)

mat[0][i] = mat[0][i - 1] && (s3.charAt(i - 1) == s2.charAt(i - 1));

for (int i = 1; i <= s1.length(); ++i)

for (int j = 1; j <= s2.length(); ++j)

mat[i][j] = (mat[i][j - 1] && s2.charAt(j - 1) == s3.charAt(i

+ j - 1))

|| (mat[i - 1][j] && s1.charAt(i - 1) == s3.charAt(i

+ j - 1));

return mat[s1.length()][s2.length()];

}

}