Given a string S,
find the longest palindromic substring in S.
You may assume that the maximum length of S is
1000, and there exists one unique longest palindromic substring.

动态规划

public class Solution {
public String longestPalindrome(String s) {
if (s == null || s.length() == 0) return "";
int n = s.length();
int max = 0, start = 0, end = 0;
boolean[][] c = new boolean[n][n];
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
c[i][j] = i >= j ? true : false;
}
}
//c[i][j] 记录从第i个到第j个是不是回文。
for (int j = 1; j < n; j++) {
for (int i = 0; i < j; i++) {
if (s.charAt(i) == s.charAt(j) && c[i+1][j-1]) {
c[i][j] = true;
if (j - i + 1 > max) {
max = j - i + 1;
start = i;
end = j;
}
}
else
c[i][j] = false;
}
}
return s.substring(start, end+1);
}
}

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