Problem 42460. The cake is a lie...

Created by James

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You're hosting a birthday party with a large number of screaming children. Fortunately, you have a gigantic sheet cake in front of you that can be cut a large number of times. Given the number of kids at the party, find the minimum number of cuts you need to make to give all of them at least one piece. There can be pieces left over, but you need to make sure that everyone gets at least one piece. Fortunately, the pieces of cake don't have to be the same size.

Good luck!

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Last Solution submitted on Dec 17, 2024

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Alfonso Nieto-Castanon on 25 Jul 2015

for those detail-oriented (i.e. picky) I imagine cuts need to be straight lines, and the cake is two-dimensional?

James on 28 Jul 2015

You're half right: the cuts have to be straight. The cake is 3-D, though. Assume the cake is a rectangular solid, and all cuts are planar.

Alfonso Nieto-Castanon on 28 Jul 2015

thanks for the clarification!

Carl Witthoft on 25 Nov 2015

death^H^H^H^Hservings by a thousand cuts

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Problem 42460. The cake is a lie...

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Problem 42460. The cake is a lie...

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Last 200 Solutions

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Problem Recent Solvers25

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