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forum.virtualchallengemeets.com • View topic - AIME I #12 2000

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AIME I #12 2000

Posted: Mon Apr 23, 2007 3:59 pm

by stupidityismygam

Given a function [unparseable or potentially dangerous latex formula] for which

[unparseable or potentially dangerous latex formula]
holds for all real [unparseable or potentially dangerous latex formula] what is the largest number of different values that can appear in the list [unparseable or potentially dangerous latex formula]

Posted: Sun Apr 29, 2007 2:31 pm

by zefuri

Why is this thread sticky'd

Posted: Sun Apr 29, 2007 3:19 pm

by Quelloquialism

Posted: Thu Jan 03, 2008 12:52 am

by mathslug

The solution is wrong. Doh! I can't believe I didn't consider those cases! Its the whole point of the problem.

Posted: Thu Jan 03, 2008 1:36 am

by Quelloquialism

What about cases where you can apply multiple shifts?

f(500) = f(398-500) = f(-102) = f(2158-(-102)) = f(2260) = f(3214-2260) = f(954), for example?