Press "Enter" to skip to content

Posts published in July 2018

花花酱 LeetCode 410. Split Array Largest Sum

Problem

Given an array 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.

Note:
If n is the length of array, assume the following constraints are satisfied:

  • 1 ≤ n ≤ 1000
  • 1 ≤ m ≤ min(50, n)

Examples:

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.

 

Solution: DP

Time complexity: O(n^2*m)

Space complexity: O(n*m)

C++ / Recursion + Memorization

C++ / DP

Solution: Binary Search

Time complexity: O(log(sum(nums))*n)

Space complexity: O(1)