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wu :: forums    riddles    medium (Moderators: william wu, SMQ, Eigenray, ThudnBlunder, towr, Icarus, Grimbal)    quadruples converging to (0, 0, 0, 0) « Previous topic | Next topic » Pages: 1  Reply Notify of replies Send Topic Print    Author  Topic: quadruples converging to (0, 0, 0, 0)  (Read 615 times) gkwal Newbie     Posts: 25 quadruples converging to (0, 0, 0, 0)   « on: May 3rd, 2007, 11:37am » Quote Modify 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). IP Logged towr wu::riddles Moderator Uberpuzzler Some people are average, some are just mean.     Gender: Posts: 13730 Re: quadruples converging to (0, 0, 0, 0)   « Reply #1 on: May 3rd, 2007, 2:09pm » Quote Modify An earlier discussion of this problem can be found here IP Logged Wikipedia, Google, Mathworld, Integer sequence DB Pages: 1  Reply Notify of replies Send Topic Print Forum Jump: ----------------------------- riddles -----------------------------  - easy => medium   - hard   - what am i   - what happened   - microsoft   - cs   - putnam exam (pure math)   - suggestions, help, and FAQ   - general problem-solving / chatting / whatever ----------------------------- general -----------------------------  - guestbook   - truth   - complex analysis   - wanted   - psychology   - chinese « Previous topic | Next topic »

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