Problem 2622. Packing oranges - one layer

Created by Jan Orwat
Appears in Sequences & Series I

Difficulty:Rate

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Help the seller to pack oranges efficiently. How many oranges can be put into a box in one layer without squeezing them?

Given dimension(s) return the maximum number. Assume that oranges are perfect spheres with unitary diameter.

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50 Solutions
10 Solvers

Last Solution submitted on Aug 09, 2024

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Tim on 13 Oct 2014

Looks like 7 and 8 should use fit(x), not fit(x,y).

Jan Orwat on 13 Oct 2014

Sorry for that. Fixed now.

Rafael S.T. Vieira on 28 Jun 2020

Every test is correct. The problem with the circle packing algorithm is precision. Set the precision wrongly and we will miss a lot of circles (It was fun to revisit this kind of problem). And btw, the upper bound for circle packing in the plane is pi/sqrt(12) of the total area. Ignore the spheres in the question, it's a circle packing problem ("easy" version, since we already have the radii).

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