Program to check we can rearrange array to make difference between each pair of elements same in Python

Suppose we have a list called nums, we have to check whether we can rearrange the order of nums in such a way that the difference between every pair of consecutive two numbers is same.

So, if the input is like nums = [8, 2, 6, 4], then the output will be True, because if we rearrange nums like [2, 4, 6, 8], then the difference between every two pair of consecutive numbers is 2.

To solve this, we will follow these steps −

• N := size of nums

• if N

  • return True

• sort the list nums

• targetDiff := nums[1] - nums[0]

• for i in range 2 to N - 1, do

  • if nums[i] - nums[i - 1] is not same as targetDiff, then

    • return False

• return True

Example

Let us see the following implementation to get better understanding

def solve(nums):
   N = len(nums)
   if N 
Input
[8, 2, 6, 4]
Output
True