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花花酱 LeetCode 805. Split Array With Same Average

Problem

题目大意:问能否将一个数组分成两部分,每部分的平均值相同。

In a given integer array A, we must move every element of A to either list B or list C. (B and C initially start empty.)

Return true if and only if after such a move, it is possible that the average value of B is equal to the average value of C, and B and C are both non-empty.

Example :
Input: 
[1,2,3,4,5,6,7,8]
Output: true
Explanation: We can split the array into [1,4,5,8] and [2,3,6,7], and both of them have the average of 4.5.

Note:

  • The length of A will be in the range [1, 30].
  • A[i] will be in the range of [0, 10000].

Solution: Search

Time complexity: O(2^n)

Space complexity: O(n)

 

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