You are given an array nums consisting of $n$ positive integers.

You can perform two types of operations on any element in the array any number of times:

• If the element is even, divide it by $2$.

• If the element is odd, multiply it by $2$.

The deviation of the array is defined as the maximum difference between any two elements in the array.

Return the minimum deviation you can achieve after applying any number of operations.

Constraints:

• n == nums.length

• $2 \leq$ n $\leq 5 imes 10^4$

• $1 \leq$ nums[i] $\leq 10^9$

Now, let’s take a moment to make sure you’ve correctly understood the problem. The quiz below helps you check if you’re solving the correct problem:

We have a game for you to play. Rearrange the logical building blocks to develop a clearer understanding of how to solve this problem.

Implement your solution in the following coding playground.