You are given an array of integers nums of length $3$.

Concatenate the binary representations of all numbers in nums in any order to form a single binary string, without leading zeros.

Return the maximum decimal value that can be obtained from any such concatenation.

Constraints:

• nums.length $= 3$

• $1 \leq$ nums[i] $\leq 127$

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.