**Problem Statement:**
Given the required input arguments, write an efficient algorithm to solve the **Palindrome Partitioning II (Min Cuts)** problem. Implement the required logic as specified by standard definitions for this classic algorithmic challenge.
**Hint / Expected Approach:**
1D cuts DP + palindrome 2D precompute
**Edge Cases to Consider:**
- (1) Already palindrome (0 cuts)
- (2) All same chars
- (3) All different chars