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# 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 <= 2, then

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 <= 2: return True nums.sort() targetDiff = nums[1] - nums[0] for i in range(2, N): if nums[i] - nums[i - 1] != targetDiff: return False return True nums = [8, 2, 6, 4] print(solve(nums))

## Input

[8, 2, 6, 4]

## Output

True

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