Leetcode Problem 1246. Palindrome Removal

1246. Palindrome Removal

Leetcode Solutions

Dynamic Programming Approach

  1. Initialize a 2D array dp with dimensions n x n, where n is the length of the input array arr, and fill it with the maximum number of moves (initially n).
  2. Set dp[i][i] to 1 for all i, since a single element is always a palindrome and can be removed in one move.
  3. Set dp[i][i+1] to 1 if arr[i] == arr[i+1], otherwise set it to 2, for all i from 0 to n-2.
  4. For each subarray length from 3 to n, do the following: a. For each starting index i of the subarray, calculate the ending index j. b. If arr[i] == arr[j], set dp[i][j] to dp[i+1][j-1]. c. Otherwise, set dp[i][j] to the minimum of dp[i+1][j-1] + 2 and the minimum moves required for all possible splits of the subarray.
  5. Return dp[0][n-1] as the result.
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Recursive Approach with Memoization

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