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Solution

Method 1 - DP

To solve this problem, we can use dynamic programming to keep track of the minimum cuts needed to partition the string into palindromic substrings. Here’s the detailed approach:

Approach

Dynamic Programming Table: Create a table dp where dp[i] represents the minimum number of cuts needed to partition the substring s[0:i+1] into palindromic substrings.
Palindrome Table: Create a 2D table palindrome where palindrome[i][j] is True if the substring s[i:j+1] is a palindrome.
Initialization: Initialize the palindrome table. If s[i] == s[j] and the substring between them is also a palindrome, then palindrome[i][j] is True.
Filling DP Table: Iterate through the string to fill in the dp table using the

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