You are given two integers, money and children, representing an amount of money and a number of children.

You must distribute all the money among the children according to the following rules:

1. Every child must receive at least $1$ dollar.

2. No child may receive exactly $4$ dollars.

3. All money must be completely distributed.

Return the maximum number of children that can receive exactly $8$ dollars. If there is no valid distribution satisfying these conditions, return $-1$.

Constraints:

• $1 \leq$ money $\leq 200$

• $2 \leq$ children $\leq 30$

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.