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More Girl Scout Cookies! - Problem-A-Day

patrickwondersMar. 11th, 2008 11:51 pm More Girl Scout Cookies!

This is a follow-on question to my last post.

It's Girl Scout cookie season, still. The Samoas come twelve boxes to a case. This diagram on the side of each case shows you how to stack the cases on a pallet with fourteen per level:

Diagram showing a 3x3 grid of boxes with one row of five boxes oriented perpendicular to that grid

Today's question: For what positive integers m and n are there arrangements of an m x m grid of boxes and a single row of n boxes oriented perpendicularly to those in the grid such that they perfectly fill a square pallet with no gaps?

Current Mood: tiredtired

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