Split Array Largest Sum

Given an integer array nums and an integer k, split nums into k non-empty subarrays such that the largest sum of any subarray is minimized.

Return the minimized largest sum of the split.

A subarray is a contiguous part of the array.

Example 1
Inputnums = [7,2,5,10,8], k = 2
Output18
There are four ways to split nums into two subarrays, and the best way is to split it into [7, 2, 5] and [10, 8], where the largest sum among the two subarrays is only 18.
Example 2
Inputnums = [1,2,3,4,5], k = 2
Output9
There are four ways to split nums into two subarrays, and the best way is to split it into [1, 2, 3] and [4, 5], where the largest sum among the two subarrays is only 9.

Constraints

  • 1 <= nums.length <= 1000
  • 0 <= nums[i] <= 10^6
  • 1 <= k <= min(50, nums.length)

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