Give you a string s, please split s into some substrings so that each substring is a palindrome.
Returns the minimum number of splits that meet the requirements.
Example 1:
Input: s = "aab"
Output: 1
Explanation: You can split s into two palindrome substrings like ["aa", "b"] only once.
Example 2:
Input: s = "a"
Output: 0
Example 3:
Input: s = "ab"
Output: 1
prompt:
1 <= s.length <= 2000
s only consists of lowercase English letters
代码:
public int minCut(String s) {
int n = s.length();
boolean[][] judge = new boolean[n][n];
int[] dp = new int[n]; // dp[i]表示s中第i个字符到第(n-1)个字符所构成的子串的最小分割次数
for (int i = n - 1; i >= 0; i--) {
dp[i] = Integer.MAX_VALUE;
for (int j = i; j < n; j++) {
if (s.charAt(i) == s.charAt(j) && (j - i <= 1 || judge[i + 1][j - 1])) {
judge[i][j] = true;
if (j + 1 < n) {
dp[i] = Math.min(dp[i], 1 + dp[j + 1]);
}else{
dp[i] = 0;
}
}
}
}
return dp[0];
}