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        riddles >> medium >> quadruples converging to (0, 0, 0, 0)
        
(Message started by: gkwal on May 3rd, 2007, 11:37am)
Title: quadruples converging to (0, 0, 0, 0)
Post by gkwal on May 3rd, 2007, 11:37am
Start with any quadruple of 4 numbers arranged in a cycle. Between each pair of integers write the absolute value of their difference to form the next cycle. Show that upon iteration, any quadruple leads to the all 0 cycle, e.g., (1,2,3,3)->(1,1,0,2)->(0,1,2,1)->(1,1,1,1)->(0,0,0,0).
Title: Re: quadruples converging to (0, 0, 0, 0)
Post by towr on May 3rd, 2007, 2:09pm
An earlier discussion of this problem can be found here (http://www.ocf.berkeley.edu/~wwu/cgi-bin/yabb/YaBB.cgi?board=riddles_hard;action=display;num=1160605203;)


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