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Problem 1428. Find the optimal shape to bring the maximum product by a given perimeter

Created by Eliad

Find the optimal shape (with N sides) to bring the maximum product of the sides length, by a given perimeter. Example: Assuming perimeter equals to 10 (p=10) then it's known Nopt=3 (triangle - 3 sides). let mark L1,L2,L3 the triangle sides length (L1+L2+L3=10), thus the product is L1*L2*L3 and we want it to be maximum according to Nopt we found.

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Difficulty level on a scale 1 to 10: 8

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25 correct solutions 27 incorrect solutions
Last solution submitted on Aug 25, 2014

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