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AIME II #10 2008

American Mathematics Contest & American Invitational Mathematics Examination. See for more information
Note:USAMO/IMO-level questions need to go in the Olympiad section.
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AIME II #10 2008

Postby stupidityismygam » Thu Apr 03, 2008 7:27 pm

The diagram below shows a [unparseable or potentially dangerous latex formula] by [unparseable or potentially dangerous latex formula] rectangular array of points, each of which is 1 unit away from its nearest neighbors.

Define a [unparseable or potentially dangerous latex formula] to be a sequence of distinct points of the array with the property that the distance between consecutive points of the sequence is strictly increasing. Let [unparseable or potentially dangerous latex formula] be the maximum possible number of points in a growing path, and let [unparseable or potentially dangerous latex formula] be the number of growing paths consisting of exactly [unparseable or potentially dangerous latex formula] points. Find [unparseable or potentially dangerous latex formula]

<needs diagram>
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Re: AIME II #10 2008

Postby Michael T » Thu Apr 03, 2008 8:44 pm

2009 High/Low Scores (NS/Calc/Math/Sci)
NS: 328/328 (lol SAC)
Calc: -/-
Math: 146/146 (SAC Again)
Sci: -/-
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