For this problem you need to use Mutual Recursion. This means one function will call another...

Question:

For this problem you need to use Mutual Recursion. This means one function will call another function which will call the first function once again.

This game is two-player game. There are m matches in a box. The players will take turns to remove matches. The player who takes the last match wins. Your friends decided to stick to a certain strategy:

1) Steve loves magic numbers. If the number of matches is divisible by 4, Steve will remove 3 matches, otherwise he will remove only 1 match. If there are 2 or less matches, Steve will take them both and win.

2) Kate loves even numbers. If the number of matches is even, Kate will remove 2 matches, otherwise she will only take 1 (so that the number of matches is even again!). If there are 2 or less matches, Kate will take them both and win.

Assume that there are m matches and the player function called goes first, who wins the game?

Output: You are expected to return one of the following strings, verbatim:

• "Steve wins the game"
• "Kate wins the game"
$def steve(n):$
$"""$
$>>> steve(1)$
$"Steve wins the game"$
$>>> steve(5)$
$"Steve wins the game"$
$"""$
$ YOUR CODE GOES HERE $
$def kate(n):$
$"""$
$>>> kate(1)$
$"Kate wins the game"$
$>>> kate(2)$
$"Kate wins the game"$
$"""$
$ YOUR CODE GOES HERE $

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