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package Algorithms;
public class Interleaving {
public static void main(String[] strs) {
System.out.println(isInterleave("a", "b", "ab"));
if ('a' >= 'd') {
System.out.println("tre");
}
int a = 'c';
int b = 'a';
char c = Character.toLowerCase('9');
return;
}
public static boolean isInterleave(String s1, String s2, String s3) {
// f[i][j] means that from 0-i in S1 and from 0-j in S2 compose to S3(i+j)
// f[i][j]:
// 1. s1.i == s3.(i+j) && s1(i - 1) + s2(j) compase s3(i + j - 1)
// || s2.j == s3.(i+j) && s1(i) + s2(j - 1) compase s3(i + j - 1)
// init:
// f[0][0] = true;
// when i = 0, f[i][j] = f[i][j - 1] && s2(j) == s3(i+j)
// when j = 0, f[i][j] = f[i - 1][j] && s1(i) == s3(i+j)
if (s3 == null) {
return false;
}
if (s2 == null && s1 == null) {
return false;
}
if ((s1 == null || s1.length() == 0) && s2 != null) {
return s2.equals(s3);
} else if ((s2 == null || s2.length() == 0) && s1 != null) {
return s1.equals(s3);
}
boolean[][] match = new boolean[s1.length() + 1][s2.length() + 1];
match[0][0] = true;
for (int j = 1; j <= s2.length(); j++) {
match[0][j] = (s2.charAt(j - 1) == s3.charAt(j - 1) && match[0][j - 1]);
}
for (int i = 1; i <= s1.length(); i++) {
match[i][0] = (s1.charAt(i - 1) == s3.charAt(i - 1) && match[i - 1][0]);
}
for (int i = 1; i <= s1.length(); i++) {
for (int j = 1; j <= s2.length(); j++) {
// f[i][j]:
// 1. s1.i == s3.(i+j) && s1(i - 1) + s2(j) compase s3(i + j - 1)
// || s2.j == s3.(i+j) && s1(i) + s2(j - 1) compase s3(i + j - 1)
match[i][j] = false;
match[i][j] |= match[i - 1][j] && s1.charAt(i - 1) == s3.charAt(i + j - 1);
match[i][j] |= match[i][j - 1] && s2.charAt(j - 1) == s3.charAt(i + j - 1);
}
}
return match[s1.length()][s2.length()];
}
}
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