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A Game Based on the Euclidean Algorithm and A Winning Strategy for it

Published online by Cambridge University Press:  03 November 2016

A. J. Cole  and
A.J.T. Davie
A. J. Cole
Affiliation:
Computing Laboratory, The Mathematical InstituteNorth Haugh, St. Andrews
A.J.T. Davie
Affiliation:
Computing Laboratory, The Mathematical InstituteNorth Haugh, St. Andrews
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Extract

The following two-player game which we have named Euclid was devised as a source of examples to illustrate the use of a winning strategy algorithm based on the proof of a similar existence theorem[1].

Type
Research Article
Information
The Mathematical Gazette , Volume 53 , Issue 386 , December 1969 , pp. 354 - 357
Copyright
Copyright © Mathematical Association 1969

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References

1. Trakhtenbrot, B.A., Algorithms and Automatic Computing Machines, Chapter 2, D. C. Heath and Company, Boston, 1963.Google Scholar