And today we’re going to explore a specific type of recursive function: T(m, s, x), where m is the number of marbles in your pocket, s is the number of seconds left on the clock, and x is the amount of money you have.

Now, I know what some of you might be thinking “Why would anyone need a recursive function for computing T(m,s,x)?” Well, bro, let me tell you: there are many situations where this could come in handy! For example, imagine you’re playing a game and you have to choose between taking one marble or waiting 10 seconds. If you take the marble, your total number of marbles will increase by 1 (let’s call that function M(m)), but if you wait 10 seconds, your time left on the clock will decrease by 10 (let’s call that function S(s)). And what about money? Well, let’s say you have $5 and you win a prize worth $2. If we add those two numbers together, we get $7 but wait! What if you lose all your marbles in the game and end up with none at all? In that case, your total number of marbles would be 0 (let’s call that function M(m) again), which means you wouldn’t win anything.

So how do we create a recursive function for computing T(m, s, x)? Well, let’s start with the base cases: if m is greater than or equal to 10 (let’s call that function B(m)), then your total number of marbles will be at least 10. And what about time? If s is less than or equal to 5 (let’s call that function S(s) again), then you won’t have enough time left on the clock to wait for anything else. As for money, if x is greater than or equal to $20 (let’s call that function X(x)), then your total amount of money will be at least $20.

Now let’s move onto the recursive part: if m is less than 10 and s is greater than 5, we can use a combination of M(m) and S(s-10) to calculate our new number of marbles (let’s call that function T(m, s)) but wait! What about money? If x is less than $20, then we need to add the prize amount ($2) to our current total (let’s call that function X(x+2)).

It may not be perfect or efficient, but it sure is fun to play around with! And who knows maybe one day we’ll discover a new use for this function that will change the world as we know it. Until then, keep on playing and experimenting you never know what kind of crazy math problems you might stumble upon next!