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Box Stacking Problem
- This tutorial explains how to solve the box stacking problem using dynamic programming (DP) approach.
- The box stacking problem involves determining the maximum height that can be obtained by stacking boxes in such a way that the top box has a smaller length and width than the bottom box.
- The DP approach involves sorting all possible box rotations by the base area and then checking which boxes can be stacked on top of any particular box.
- The approach also includes the longest increasing subsequence concept.
- The DP array stores the maximum height achievable with a particular box configuration while the result array stores the configuration of boxes that can be stacked together.
- The DP array is initialized with the height of the boxes. Then, the maximum possible height is calculated and updated in DP and result arrays using the longest increasing subsequence concept.
- The final height is obtained by adding up the heights of the individual boxes in the stacked configuration.
- This problem can be applied in various real-life scenarios such as shipping, storage, or transportation of objects.
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