Data Structures and Algorithms in Java
Data Structures and Algorithms in Java
6th Edition
ISBN: 9781118771334
Author: Michael T. Goodrich
Publisher: WILEY
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Chapter 4, Problem 47C
Explanation of Solution
a.
Estimation of worst case time to decipher the secret message "p":
The worst case time occurs when "p" and "q" are in equal size.
- Because, if "p" is greater than "q" or "q" is greater than "p" means then, it is possible to determine the single division.
- So, let us assume that the value for "p" and "q" are equal.
- The "p" size is "
algorithm takes the exponential time. That is, - It clearly tells that, it is not efficient. Because, exponential time are not considered as solution.
- On the particular case, it performs one division in time
Explanation of Solution
b.
Estimation of worst case time complexity for given algorithm:
The worst case time occurs when "p" and "q" are in equal size.
- Because, if "p" is greater than "q" or "q" is greater than "p" means then, it is possible to determine the single division.
- So, let us assume that the value for "p" and "q" are equal.
- The "p" size is "
- Thus, the worst-case scenario to perform single division is
- The number of "r" in bits are
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Chapter 4 Solutions
Data Structures and Algorithms in Java
Chapter 4, Problem 1R Chapter 4, Problem 2R Chapter 4, Problem 3R Chapter 4, Problem 4R Chapter 4, Problem 5R Chapter 4, Problem 6R Chapter 4, Problem 7R Chapter 4, Problem 8R Chapter 4, Problem 9R Chapter 4, Problem 10R
Chapter 4, Problem 11R Chapter 4, Problem 12R Chapter 4, Problem 13R Chapter 4, Problem 14R Chapter 4, Problem 15R Chapter 4, Problem 16R Chapter 4, Problem 17R Chapter 4, Problem 18R Chapter 4, Problem 19R Chapter 4, Problem 20R Chapter 4, Problem 21R Chapter 4, Problem 22R Chapter 4, Problem 23R Chapter 4, Problem 24R Chapter 4, Problem 25R Chapter 4, Problem 26R Chapter 4, Problem 27R Chapter 4, Problem 28R Chapter 4, Problem 29R Chapter 4, Problem 30R Chapter 4, Problem 31R Chapter 4, Problem 32R Chapter 4, Problem 33R Chapter 4, Problem 34R Chapter 4, Problem 35C Chapter 4, Problem 36C Chapter 4, Problem 37C Chapter 4, Problem 38C Chapter 4, Problem 39C Chapter 4, Problem 40C Chapter 4, Problem 41C Chapter 4, Problem 42C Chapter 4, Problem 43C Chapter 4, Problem 44C Chapter 4, Problem 45C Chapter 4, Problem 46C Chapter 4, Problem 47C Chapter 4, Problem 48C Chapter 4, Problem 49C Chapter 4, Problem 50C Chapter 4, Problem 51C Chapter 4, Problem 52C Chapter 4, Problem 53C Chapter 4, Problem 54C Chapter 4, Problem 55C Chapter 4, Problem 56C Chapter 4, Problem 57C Chapter 4, Problem 58C Chapter 4, Problem 59C Chapter 4, Problem 60P Chapter 4, Problem 61P Chapter 4, Problem 62P Chapter 4, Problem 63P
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