Talk:2000 AIME I Problems/Problem 12

Revision as of 10:57, 29 March 2008 by Azjps (talk | contribs) (maybe?)
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The explanation is unclear. I got the answer 352/2=176. From f(x)=f(x+352) all x with same residue mod 352 give the same answer. Additionally pairs (x,y) with x+y=46 mod 352 have same f(x). There are 176 such pairs.

No, I think the explanation is fine. I believe you left out that $(x,y) = (23,23),(199,199)$ don't overlap, which explains the off-by-one. Azjps (talk) 14:57, 29 March 2008 (UTC)