Given an array nums which consists of non-negative integers and an integer m, you can split the array into m non-empty continuous subarrays.
Write an algorithm to minimize the largest sum among these m subarrays.
Example 1:
Input: nums = [7,2,5,10,8], m = 2 Output: 18 Explanation: There are four ways to split nums into two subarrays. 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:
Input: nums = [1,2,3,4,5], m = 2 Output: 9
Example 3:
Input: nums = [1,4,4], m = 3 Output: 4
Constraints:
1 <= nums.length <= 10000 <= nums[i] <= 1061 <= m <= min(50, nums.length)