Jan 2024 Update: Problem 3 - AB Equality Create a recursive function in a file called ab_equality.py: def ab equalín, k, current) Print

Question

Problem 3 - AB Equality Create a recursive function in a file called ab_equality.py: def ab equalín, k, current) Print out all of the strings of a's and b's of length n so that the number of a's and b's are equal. For n = 2, there's ab and ba. For n = 3 there are no strings since they'd have to have 2 a's and lb, or 2 b's a la so not equal. For n = 4, there will be 6 of these strings, and for n = 5, zero again. Hint: use k to track the difference between a's and b's. So for instance if your current is aaabb then k should be equal to either 1 or -1 (your choice depending). When you call the function, you should call it from your main or testing function with the length in the n parameter, O should be put into the k parameter, and then an empty string will be passed in for current. What length do you want to run? 4 aabb abab abba baab baba bbaa linux5[110] % python3 ab_equality.py What length do you want to run? 6 aaabbb aababb aabbab aabbba abaabb ababab ababba abbaab abbaba abbbaa baaabb baabab baabba babaab bababa babbaa bbaaab bbaaba bbabaa bbbaaa

Asked By GoldenSunset48 at 19 Jan 2024

Answered By Expert

Jackson

Expert · 5.4k answers · 5k people helped

Step 1/2

Here is the python programming for the discribed problem..

Explanation:

Python code for the `ab_equal` function:

Explanation:

1. `ab_equal` Function:

Explanation:

- The `ab_equal` function is a recursive function that generates and prints strings of 'a's and 'b's of length `n` such that the number of 'a's and 'b's are equal.

Explanation:

- It takes three parameters:

Explanation:

- `n`: The remaining length of the string to generate.

Explanation:

- `k`: A variable that tracks the difference between the number of 'a's and 'b's in the string.

Explanation:

- `current`: The current string being built.

Explanation:

2. Base Case:

Explanation:

- The base case of the recursion is defined as follows:

Explanation:

- If `n` is 0 (indicating that the desired length of the string is achieved) and `k` is 0 (indicating that the number of 'a's and 'b's in the current string is equal), it prints the current string and returns.

Explanation:

- This base case is reached when a valid string with an equal number of 'a's and 'b's is constructed.

Explanation:

3. Recursive Cases:

Explanation:

- If the base case is not met, the function proceeds with recursive cases:

Explanation:

- If `n` is greater than 0, it adds an 'a' to the current string, decrements both `n` and `k` by 1 (to maintain the length and balance), and makes a recursive call with the updated parameters.

Explanation:

- If `n` is still greater than 0, it adds a 'b' to the current string, decrements `n` by 1 (to maintain the length), and increments `k` by 1 (to balance the number of 'a's and 'b's), then makes another recursive call with the updated parameters.

Explanation:

- These two cases ensure that the function explores all possible combinations of 'a's and 'b's.

Explanation:

4. Main Function:

Explanation:

- The code block with `if name == "__main__":` is the main or testing function.

Explanation:

- It prompts the user to input the desired length of the strings and calls the `ab_equal` function with the initial values of `n`, `k`, and an empty string `current`.

Explanation:

When you run this script and input the desired length, the `ab_equal` function will generate and print all strings of 'a's and 'b's with an equal number of each, following the pattern of balancing 'a's and 'b's as described in the recursive cases. The base case ensures that only valid strings are printed.

Step 2/2

With this corrected code, when you input the desired length (e.g., 4 or 6), it will generate and print all strings of 'a's and 'b's with an equal number of each, following the pattern you specified.

Final Answer

Output of the program

What length do you want to run? 6

aaabbb

aababb

aabbab

aabbba

abaabb

ababab

ababba

abbaab

abbaba

abbbaa

baaabb

baabab

baabba

babaab

bababa

babbaa

bbaaab

bbaaba

bbabaa

bbbaaa

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