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Leetcode Problem 1563. Stone Game V

1563. Stone Game V

Leetcode Solutions

Dynamic Programming with Memoization

  1. Calculate the prefix sum of the stone values for quick range sum queries.
  2. Initialize a memoization table dp with -1 to indicate uncalculated subproblems.
  3. Define a recursive function solve that takes the starting and ending indices of the current subarray.
  4. If the subarray contains only one stone, return 0 as the score.
  5. If the result for the current subarray is already calculated, return it from the memoization table.
  6. Iterate over all possible split points within the subarray.
  7. For each split point, calculate the sum of the left and right subarrays.
  8. Depending on which side is greater, or if they are equal, recursively call solve for the appropriate subarray and update the maximum score.
  9. Store the maximum score in the memoization table before returning it.
  10. Call solve with the full range of the array and return the result as the final answer.
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Greedy Approach with Prefix Sum Optimization

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