java.lang.Object
g2601_2700.s2656_maximum_sum_with_exactly_k_elements.Solution

public class Solution extends java.lang.Object
2656 - Maximum Sum With Exactly K Elements.

Easy

You are given a 0-indexed integer array nums and an integer k. Your task is to perform the following operation exactly k times in order to maximize your score:

  1. Select an element m from nums.
  2. Remove the selected element m from the array.
  3. Add a new element with a value of m + 1 to the array.
  4. Increase your score by m.

Return the maximum score you can achieve after performing the operation exactly k times.

Example 1:

Input: nums = [1,2,3,4,5], k = 3

Output: 18

Explanation: We need to choose exactly 3 elements from nums to maximize the sum.

For the first iteration, we choose 5. Then sum is 5 and nums = [1,2,3,4,6]

For the second iteration, we choose 6. Then sum is 5 + 6 and nums = [1,2,3,4,7]

For the third iteration, we choose 7. Then sum is 5 + 6 + 7 = 18 and nums = [1,2,3,4,8]

So, we will return 18. It can be proven, that 18 is the maximum answer that we can achieve.

Example 2:

Input: nums = [5,5,5], k = 2

Output: 11

Explanation: We need to choose exactly 2 elements from nums to maximize the sum.

For the first iteration, we choose 5. Then sum is 5 and nums = [5,5,6]

For the second iteration, we choose 6. Then sum is 5 + 6 = 11 and nums = [5,5,7]

So, we will return 11.

It can be proven, that 11 is the maximum answer that we can achieve.

Constraints:

  • 1 <= nums.length <= 100
  • 1 <= nums[i] <= 100
  • 1 <= k <= 100
  • Constructor Summary

    Constructors
    Constructor
    Description
     
  • Method Summary

    Modifier and Type
    Method
    Description
    int
    maximizeSum(int[] nums, int k)
     

    Methods inherited from class java.lang.Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
  • Constructor Details

    • Solution

      public Solution()
  • Method Details

    • maximizeSum

      public int maximizeSum(int[] nums, int k)