Package g3701_3800.s3727_maximum_alternating_sum_of_squares

Class Solution

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public final class Solution

    3727 - Maximum Alternating Sum of Squares.

    Medium

    You are given an integer array nums. You may rearrange the elements in any order.

    The alternating score of an array arr is defined as:

    • <code>score = arr0<sup>2</sup> - arr1<sup>2</sup> + arr2<sup>2</sup> - arr3<sup>2</sup> + ...</code>

    Return an integer denoting the maximum possible alternating score of nums after rearranging its elements.

    Example 1:

    Input: nums = 1,2,3

    Output: 12

    Explanation:

    A possible rearrangement for nums is [2,1,3], which gives the maximum alternating score among all possible rearrangements.

    The alternating score is calculated as:

    <code>score = 2<sup>2</sup> - 1<sup>2</sup> + 3<sup>2</sup> = 4 - 1 + 9 = 12</code>

    Example 2:

    Input: nums = 1,-1,2,-2,3,-3

    Output: 16

    Explanation:

    A possible rearrangement for nums is [-3,-1,-2,1,3,2], which gives the maximum alternating score among all possible rearrangements.

    The alternating score is calculated as:

    <code>score = (-3)<sup>2</sup> - (-1)<sup>2</sup> + (-2)<sup>2</sup> - (1)<sup>2</sup> + (3)<sup>2</sup> - (2)<sup>2</sup> = 9 - 1 + 4 - 1 + 9 - 4 = 16</code>

    Constraints:

    • <code>1 <= nums.length <= 10<sup>5</sup></code>

    • <code>-4 * 10<sup>4</sup><= numsi<= 4 * 10<sup>4</sup></code>

    • 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 Long maxAlternatingSum(IntArray nums)

      • Methods inherited from class java.lang.Object

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