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Leetcode Problem 546. Remove Boxes

546. Remove Boxes

Leetcode Solutions

Top-Down Dynamic Programming Approach

  1. Initialize a 3D array dp with dimensions [n][n][n] where n is the length of the boxes array.
  2. Define a recursive function calculatePoints(l, r, k) that returns the maximum points for the subarray boxes[l:r] with k additional elements similar to boxes[r] following it.
  3. If the value of dp[l][r][k] is already computed, return it to avoid redundant calculations.
  4. Initialize dp[l][r][k] with the value obtained by removing the last k+1 similar elements.
  5. Iterate over the subarray boxes[l:r] to find elements similar to boxes[r].
  6. For each similar element found at index i, calculate the potential points by combining it with the trailing similar elements and update dp[l][r][k] if it leads to a higher score.
  7. Return the value of dp[0][n-1][0] as the final result, which represents the maximum points for the entire array with no additional similar elements at the end.
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