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Terraced Houses

Problem

Using the following pattern, a maximum of three "terraced houses" can be made from a pile of twenty matchsticks.


As only sixteen matchsticks were required there would be four left.

Using one-thousand matchsticks and the same design to make the maximum number of "terraced house" possible, how many matchsticks will be left over?

Problem ID: 170 (May 2004)     Difficulty: 1 Star

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