Data Structures and Algorithms in Java
6th Edition
ISBN: 9781118771334
Author: Michael T. Goodrich
Publisher: WILEY
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Textbook Question
Chapter 5, Problem 16C
In the Towers of Hanoi puzzle, we are given a platform with three pegs, a, b, and c, sticking out of it. On peg a is a stack of n disks, each larger than the next, so that the smallest is on the top and the largest is on the bottom. The puzzle is to move all the disks from peg a to peg c, moving one disk at a time, so that we never place a larger disk on top of a smaller one. See Figure 5.15 for an example of the case n =4. Describe a recursive
Figure 5.15: An illustration of the Towers of Hanoi puzzle.
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Q.1. Architecture performance [10 marks]
Answer
A certain microprocessor requires either 2, 4, or 6 machine cycles to perform various operations.
⚫ (40+g+f)% require 2 machine cycles,
⚫ (30-g) % require 4 machine cycles, and
⚫ (30-f)% require 6 machine cycles.
(a) What is the average number of machine cycles per instruction for this microprocessor?
Answer
(b) What is the clock rate (machine cycles per second) required for this microprocessor to be a
"1000 MIPS" processor?
Answer
(c) Suppose that 35% of the instructions require retrieving an operand from memory which
needs an extra 8 machine cycles. What is the average number of machine cycles per
instruction, including the instructions that fetch operands from memory?
Chapter 5 Solutions
Data Structures and Algorithms in Java
Ch. 5 - Prob. 1RCh. 5 - Prob. 2RCh. 5 - Prob. 3RCh. 5 - Prob. 4RCh. 5 - Prob. 5RCh. 5 - Draw the recursion trace for the execution of...Ch. 5 - Prob. 7RCh. 5 - Describe a recursive algorithm for converting a...Ch. 5 - Prob. 9RCh. 5 - Prob. 10R
Ch. 5 - Prob. 11CCh. 5 - Prob. 12CCh. 5 - Give a recursive algorithm to compute the product...Ch. 5 - In Section 5.2 we prove by induction that the...Ch. 5 - Write a recursive method that will output all the...Ch. 5 - In the Towers of Hanoi puzzle, we are given a...Ch. 5 - Write a short recursive Java method that takes a...Ch. 5 - Write a short recursive Java method that...Ch. 5 - Use recursion to write a Java method for...Ch. 5 - Write a short recursive Java method that...Ch. 5 - Prob. 21CCh. 5 - Prob. 22CCh. 5 - Prob. 23CCh. 5 - Isabel has an interesting way of summing up the...Ch. 5 - Prob. 25CCh. 5 - Prob. 26CCh. 5 - Prob. 27PCh. 5 - Write a program for solving summation puzzles by...Ch. 5 - Prob. 29PCh. 5 - Write a program that can solve instances of the...
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