Split Array With Same Average
You are given an integer array nums.
You should move each element of nums into one of the two arrays A and B such that A and B are non-empty, and average(A) == average(B).
Return true if it is possible to achieve that and false otherwise.
Note that for an array arr, average(arr) is the sum of all the elements of arr over the length of arr.
Example 1
Input
nums = [1,2,3,4,5,6,7,8]Output
trueWe can split the array into [1, 4, 5, 8] and [2, 3, 6, 7], and both of them have an average of 4.5.
Example 2
Input
nums = [3,1]Output
falseThere is no way to split [3, 1] into two non-empty arrays with the same average.
Constraints
- 1 <= nums.length <= 30
- 0 <= nums[i] <= 10^4