Given string str, write a program to partition str such that every substring of the partition is a palindrome. Return the minimum cuts needed for a palindrome partitioning of str.

Problem Note

• If a string is a palindrome, then minimum 0 cuts are needed.
• If a string of length n containing all different characters, then the minimum n-1 cut is needed.

Example 1

Input: str = "aba"
Output: 0
Explanation:"aba" is already a palindrome, so no cuts are needed.

Example 2

Input: str = "aab"
Output: 1
Explanation: Return 1 since the palindrome partitioning ["aa","b"] could be produced using 1 cut.

Example 3

Input: str = “ababbbabbababa”
Output: 3
Explanation: Here 3 cuts are needed.
The palindromes are: a | babbbab | b | ababa