Package g0801_0900.s0813_largest_sum_of_averages

Class Solution

java.lang.Object
g0801_0900.s0813_largest_sum_of_averages.Solution
public class Solution extends java.lang.Object
813 - Largest Sum of Averages.

Medium

You are given an integer array nums and an integer k. You can partition the array into at most k non-empty adjacent subarrays. The score of a partition is the sum of the averages of each subarray.

Note that the partition must use every integer in nums, and that the score is not necessarily an integer.

Return the maximum score you can achieve of all the possible partitions. Answers within 10-6 of the actual answer will be accepted.

Example 1:

Input: nums = [9,1,2,3,9], k = 3

Output: 20.00000

Explanation:

The best choice is to partition nums into [9], [1, 2, 3], [9]. The answer is 9 + (1 + 2 + 3) / 3 + 9 = 20.

We could have also partitioned nums into [9, 1], [2], [3, 9], for example.

That partition would lead to a score of 5 + 2 + 6 = 13, which is worse.

Example 2:

Input: nums = [1,2,3,4,5,6,7], k = 4

Output: 20.50000

Constraints:

  • 1 <= nums.length <= 100
  • 1 <= nums[i] <= 104
  • 1 <= k <= nums.length

  • Constructor Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    double
    largestSumOfAverages(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

    • largestSumOfAverages

      public double largestSumOfAverages(int[] nums, int k)