87. Scramble String
暴力递归算法:
class Solution {
public boolean isScramble(String s1, String s2) {
if(s1.length()!=s2.length())
return false;
if (s1.equals(s2)) return true;
int[] record=new int[26];
for(int i=0;i<s1.length();i++)
{
record[s1.charAt(i)-'a']++;
}
for(int i=0;i<s2.length();i++)
{
record[s2.charAt(i)-'a']--;
}
for(int i=0;i<26;i++)
{
if(record[i]!=0)
return false;
}
for(int i=1;i<s1.length();i++)
{
if( (isScramble(s1.substring(0,i),s2.substring(0,i)) && isScramble(s1.substring(i),s2.substring(i))) ||
(isScramble(s1.substring(0,i),s2.substring(s2.length()-i)) && isScramble(s1.substring(i),s2.substring(0,s2.length()-i))))
return true;
}
return false;
}
动态规划:
public class Solution {
public boolean isScramble(String s1, String s2) {
if (s1 == null || s2 == null) return false;
int m = s1.length();
int n = s2.length();
if (m != n) return false;
boolean[][][] dp = new boolean[m][m][m+1];
for (int i = 0; i < m; i++) {
for (int j = 0; j < m; j++) {
dp[i][j][1] = s1.charAt(i) == s2.charAt(j);
}
}
for (int k = 2; k <= m; k++) {
for (int i = 0; i <= m - k; i++) {
for (int j = 0; j <= m - k; j++) {
dp[i][j][k] = false;
for (int part = 1; part < k; part++) {
if ((dp[i][j][l] && dp[i+l][j+l][k-l])
|| (dp[i][j+k-l][l] && dp[i+l][j][k-l])) {
dp[i][j][k] = true;
}
}
}
}
}
return dp[0][0][s1.length()];
}
}