Problem 52679. Easy Sequences 16: Volume of Embedded Octahedron

Created by Ramon Villamangca
Appears in Hidden Pattern - Matrix Version

Difficulty:Rate

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An octahedron (not regular) is formed by joining the centers of the faces of a rectangular parallelepiped (see below figure).
                                       
Given the dimensions of the rectangular parallelepiped (length, width and height), calculate the volume of the embedded octahedron. Please output the integer part of the volume in modulo 1000003.

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13 Solutions
8 Solvers

Last Solution submitted on Oct 28, 2023

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David Hill on 11 Sep 2021

I can not get your answers for test4 and test5. I checked using symbolic and obtained different answers from yours after passing tests 1-3 (my volume equation is correct).

Ramon Villamangca on 12 Sep 2021

Hi David, can you publish your solution, please? Thanks.

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