Maurice Tutor

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    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Phoniex University
    Oct-2001 - Nov-2016

Category > Computer Science Posted 15 Jul 2017 My Price 2.00

iterations of the Euclidean algorithm

 

The purpose of this problem is to set an upper bound on the number of iterations of the Euclidean algorithm.

a. Suppose that m = qn + r  with q > 0 and 0 ≤ r < n. show  that m/2 > r.

b. Let Ai be the value of A in the Euclidean algorithm after the ith iteration. Show that

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c. Show that if m, n, and N are integers with (1≤m,n,≤2N). the Euclidean algorithm takes at most 2N steps to findgcd(m, n)

 

Answers

Maurice Tutor
(5)
Status NEW Posted 15 Jul 2017 11:07 PM My Price 2.00

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