Given a string s, partition s such that every substring of the partition is a palindrome.
Return the minimum cuts needed for a palindrome partitioning of s.
For example, given s = "aab"
,
Return 1
since the palindrome partitioning ["aa","b"]
could be produced using 1 cut.
求最小分割次数。
利用动态规划和一个boolean的二维数组记录是否是回文串。
public class Solution {
public int minCut(String s) { int len = s.length();
if( len <= 1)
return 0;
char[] word = s.toCharArray();
int[] dp = new int[len];
boolean[][] isPalindrome = new boolean[len][len];
for( int i = 0;i<len;i++){
int min = i;
for( int j = 0;j<=i;j++){
if( word[i] == word[j] && ( j+1>=i-1 || isPalindrome[j+1][i-1] )){
isPalindrome[j][i] = true;
min = j==0?0:Math.min(min,dp[j-1]+1);
}
}
dp[i] = min;
} return dp[len-1];
} }