Package g1901_2000.s1959_minimum_total_space_wasted_with_k_resizing_operations

Class Solution

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public final class Solution

    1959 - Minimum Total Space Wasted With K Resizing Operations.

    Medium

    You are currently designing a dynamic array. You are given a 0-indexed integer array nums, where nums[i] is the number of elements that will be in the array at time i. In addition, you are given an integer k, the maximum number of times you can resize the array (to any size).

    The size of the array at time t, <code>size<sub>t</sub></code>, must be at least nums[t] because there needs to be enough space in the array to hold all the elements. The space wasted at time t is defined as <code>size<sub>t</sub> - numst</code>, and the total space wasted is the sum of the space wasted across every time t where 0 &lt;= t &lt; nums.length.

    Return the minimum total space wasted if you can resize the array at most k times.

    Note: The array can have any size at the start and does not count towards the number of resizing operations.

    Example 1:

    Input: nums = 10,20, k = 0

    Output: 10

    Explanation: size = 20,20.

    We can set the initial size to be 20.

    The total wasted space is (20 - 10) + (20 - 20) = 10.

    Example 2:

    Input: nums = 10,20,30, k = 1

    Output: 10

    Explanation: size = 20,20,30.

    We can set the initial size to be 20 and resize to 30 at time 2.

    The total wasted space is (20 - 10) + (20 - 20) + (30 - 30) = 10.

    Example 3:

    Input: nums = 10,20,15,30,20, k = 2

    Output: 15

    Explanation: size = 10,20,20,30,30.

    We can set the initial size to 10, resize to 20 at time 1, and resize to 30 at time 3.

    The total wasted space is (10 - 10) + (20 - 20) + (20 - 15) + (30 - 30) + (30 - 20) = 15.

    Constraints:

    • 1 &lt;= nums.length &lt;= 200

    • <code>1 <= numsi<= 10<sup>6</sup></code>

    • 0 &lt;= k &lt;= nums.length - 1

    • Nested Class Summary

      Nested Classes 
      Modifier and Type Class Description

    • Field Summary

      Fields 
      Modifier and Type Field Description

    • Constructor Summary

      Constructors 
      Constructor Description
      Solution()

    • Enum Constant Summary

      Enum Constants 
      Enum Constant Description

    • Method Summary

      Modifier and Type Method Description
      final Integer minSpaceWastedKResizing(IntArray arr, Integer k)

      • Methods inherited from class java.lang.Object

        clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait