Given an array of numbers arr. A sequence of numbers is called an
arithmetic progression if the difference between any two consecutive elements is
the same.
Return true if the array can be rearranged to form an arithmetic
progression, otherwise, return false.
Example 1:
Input: arr = [3,5,1] Output: true Explanation: We can reorder the elements as [1,3,5] or [5,3,1] with differences 2 and -2 respectively, between each consecutive elements.
Example 2:
Input: arr = [1,2,4] Output: false Explanation: There is no way to reorder the elements to obtain an arithmetic progression.
Constraints:
2 <= arr.length <= 1000-10^6 <= arr[i] <= 10^6