Let's say we have 343 biological cells stacked into a 7x7x7 cube. In this arrangement, each cell is surrounded by a maximum of 6 neighbors. The cells can be infected with a disease. In particular, if a healthy cell is surrounded by 3 or more infected cells, it will become infected as well.

What is the minimum number of infected cells that you need in the beginning that is guaranteed to eventually infect the entire 7x7x7 cube?

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## bushindo 14

Let's say we have 343 biological cells stacked into a 7x7x7 cube. In this arrangement, each cell is surrounded by a maximum of 6 neighbors. The cells can be infected with a disease. In particular, if a healthy cell is surrounded by 3 or more infected cells, it will become infected as well.

What is the minimum number of infected cells that you need in the beginning that is guaranteed to eventually infect the entire 7x7x7 cube?

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