Write a program that implements Euclid's extended algo- rithm. Then perform the following experiment: run it...
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Write a program that implements Euclid's extended algo- rithm. Then perform the following experiment: run it on a random selection of inputs of a given size, for sizes bounded by some parameter N; compute the average number of steps of the algorithm for each input size n < N, and use gnuplot¹ to plot the result. What does f(n)-which is the "average number of steps" of Euclid's extended algorithm on input size n-look like? Note that size is not the same as value; inputs of size n are inputs with a binary representation of n bits. Write a program that implements Euclid's extended algo- rithm. Then perform the following experiment: run it on a random selection of inputs of a given size, for sizes bounded by some parameter N; compute the average number of steps of the algorithm for each input size n < N, and use gnuplot¹ to plot the result. What does f(n)-which is the "average number of steps" of Euclid's extended algorithm on input size n-look like? Note that size is not the same as value; inputs of size n are inputs with a binary representation of n bits.
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Heres a Python implementation of Euclids extended algorithm and the experiment you described python import random import math import gnuplotpy def ext... View the full answer
Related Book For
Digital Signal Processing
ISBN: ?978-0133737622
3rd Edition
Authors: Jonh G. Proakis, Dimitris G.Manolakis
Posted Date:
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