Package g2501_2600.s2542_maximum_subsequence_score

Class Solution

java.lang.Object
g2501_2600.s2542_maximum_subsequence_score.Solution
public class Solution extends java.lang.Object
2542 - Maximum Subsequence Score.

Medium

You are given two 0-indexed integer arrays nums1 and nums2 of equal length n and a positive integer k. You must choose a subsequence of indices from nums1 of length k.

For chosen indices i0, i1, …, ik - 1, your score is defined as:

  • The sum of the selected elements from nums1 multiplied with the minimum of the selected elements from nums2.
  • It can defined simply as: (nums1[i0] + nums1[i1] +…+ nums1[ik - 1]) * min(nums2[i0] , nums2[i1], … ,nums2[ik - 1]).

Return the maximum possible score.

A subsequence of indices of an array is a set that can be derived from the set {0, 1, ..., n-1} by deleting some or no elements.

Example 1:

Input: nums1 = [1,3,3,2], nums2 = [2,1,3,4], k = 3

Output: 12

Explanation:

The four possible subsequence scores are:

  • We choose the indices 0, 1, and 2 with score = (1+3+3) * min(2,1,3) = 7.

  • We choose the indices 0, 1, and 3 with score = (1+3+2) * min(2,1,4) = 6.

  • We choose the indices 0, 2, and 3 with score = (1+3+2) * min(2,3,4) = 12.

  • We choose the indices 1, 2, and 3 with score = (3+3+2) * min(1,3,4) = 8.

Therefore, we return the max score, which is 12.

Example 2:

Input: nums1 = [4,2,3,1,1], nums2 = [7,5,10,9,6], k = 1

Output: 30

Explanation: Choosing index 2 is optimal: nums1[2] * nums2[2] = 3 * 10 = 30 is the maximum possible score.

Constraints:

  • n == nums1.length == nums2.length
  • 1 <= n <= 105
  • 0 <= nums1[i], nums2[j] <= 105
  • 1 <= k <= n

  • Constructor Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    long
    maxScore(int[] nums1, int[] nums2, 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

    • maxScore

      public long maxScore(int[] nums1, int[] nums2, int k)