Check Arithmetic Sequence

easy
Question Solve Solutions 
1. You are given an array(arr) of integers.
2. You have to find if the elements of the given array can be arranged to form an arithmetic progression.
3. Arithmetic progression is defined as a sequence of numbers where the difference between any two consecutive numbers is the same. 

Note -> Try to solve this in linear time complexity.

Input Format

A number N arr1 arr2.. N numbers

Output Format

true/false

Constraints

1 <= N <= 10^6
1 <= arr[i] <= 10^3

Example

Input
3
3 5 1
Output
true
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