Leetcode Problem 1691. Maximum Height by Stacking Cuboids

1691. Maximum Height by Stacking Cuboids

Leetcode Solutions

Dynamic Programming Approach for Maximum Height by Stacking Cuboids

  1. Sort each cuboid's dimensions in non-decreasing order.
  2. Sort all the cuboids based on their dimensions in non-decreasing order.
  3. Initialize a dynamic programming array dp with the same length as the number of cuboids, filled with zeros.
  4. Iterate through the sorted cuboids with index j: a. Set dp[j] to the height of the current cuboid. b. Iterate through all previous cuboids with index i: i. If cuboid i can be placed under cuboid j (all dimensions of i are less than or equal to j), update dp[j] to the maximum of dp[j] and dp[i] + height of cuboid j.
  5. Return the maximum value in the dp array.
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Backtracking with Memoization Approach for Maximum Height by Stacking Cuboids

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