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.
Analysis:
DP
Solution:
1 public class Solution { 2 public int minCut(String s) { 3 if (s.length()==0) return 0; 4 5 int[] minCut = new int[s.length()+1]; 6 minCut[0] = -1; 7 boolean[][] valid = new boolean[s.length()][s.length()]; 8 for (int i=0;i<s.length();i++){ 9 valid[i][i]=true; 10 } 11 12 for (int i=1;i<=s.length();i++){ 13 minCut[i] = minCut[i-1]+1; 14 for (int j=i-2;j>=0;j--) 15 if (s.charAt(j)==s.charAt(i-1) && (j==i-2 || valid[j+1][i-2])){ 16 valid[j][i-1]=true; 17 minCut[i] = Math.min(minCut[i],minCut[j]+1); 18 } 19 20 } 21 22 return minCut[s.length()]; 23 } 24 25 }