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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.

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.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Create a recursive function in a file called ab_equality.py:

 

def ab_equal(n, 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 1 b, or 2 b's a 1 a 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, 0 should be put into the k parameter, and then an empty string will be passed in for current.  

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