For each n 0 define binary strings a n and b n as follows: a 0
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Question:
For each n ≥ 0 define binary strings a n and b n as follows: a 0 = 0, b 0 = 1, and for n > 0 , a n = a n−1 b n−1 ; b n = b n−1 a n−1
1. Show that for every n ≥ 0, an and b n have the same length
2. Show that for every n ≥ 0, an and b n differ in every position
3. Show that for every n ≥ 0, a 2n and b 2n are palindromes
Related Book For
Data Structures and Algorithm Analysis in Java
ISBN: 978-0132576277
3rd edition
Authors: Mark A. Weiss
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