Leetcode Problem 1959. Minimum Total Space Wasted With K Resizing Operations

1959. Minimum Total Space Wasted With K Resizing Operations

Leetcode Solutions

Dynamic Programming Approach

  1. Initialize a memoization table memo with default values indicating uncomputed states.
  2. Define the recursive function dp(i, k) which returns the minimum space wasted starting from index i with k resizes left.
  3. If i is equal to the length of nums, return 0 as there are no more elements to consider.
  4. If k is less than 0, return an infinite value to indicate that we cannot resize more than allowed.
  5. If the value in memo[i][k] is already computed, return it.
  6. Initialize variables to keep track of the maximum number in the current interval and the total sum of numbers in the interval.
  7. Iterate over the array from index i to the end, updating the maximum number and total sum.
  8. Calculate the space wasted for the current interval and add the result of the recursive call dp(j + 1, k - 1).
  9. Take the minimum of the current answer and the calculated wasted space.
  10. Store the result in memo[i][k] and return it.
  11. Call dp(0, k) to get the minimum total space wasted.
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Greedy Approach with Sorting

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