(Challenge) Cubical Virus

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Chef is working on a small project ― he is building a cyberorganism. In his current design, the cyberorganism is an $N \times N \times N$ cube consisting of $N^3$ cells. Let's denote the cells by $(x, y, z)$, where $1 \le x, y, z \le N$. Chef is currently working on the cyberorganism's self-defense mechanism against viruses. So far, he has figured out that viruses behave in the following way:

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solution.cppC++17

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