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Guest Message by DevFuse

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Let's eat cake

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Posted 03 July 2013 - 09:01 PM

At a wedding reception n guests have assembled into m groups to converse.  (the groups are not necessarily equal sized.)  The host is preparing square cakes, each with an ornate ribbon adorning its perimeter, to serve to the groups.  No guest is allowed to have more than 25 cm2 of cake.  Prove that no more than 20*sqrt(mn) cm of ribbon is needed to embellish the m cakes.

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#2 Barcallica


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Posted 05 July 2013 - 05:29 AM

Spoiler for

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#3 Brainy Binary

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Posted 05 July 2013 - 11:58 AM

I guess that is  rigth

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