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Split Array Largest Sum

hard
Acceptance: 44%
Binary SearchDynamic Programming

Given an integer array and a number k, divide the array into exactly k contiguous segments (each non-empty). Among all possible divisions, minimize the largest segment sum. Return that minimized value.

Examples

Example 1:
Input:nums = [2,3,1,2,4,3], k = 3
Output:6
Explanation: Splitting as [2,3,1],[2,4],[3] gives segment sums 6,6,3. The largest is 6, which is optimal.
Example 2:
Input:nums = [1,4,4], k = 3
Output:4
Explanation: Each element is its own segment, so the largest sum is 4.

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