A Backpack, a Gun and a Codex

Chapter 99 - Deep into the Abyss (part 27)

The centre of the building is a cubical entity consisting of four static blocks and four spaces to fit in another four compartments. Each static block contains sensors that would detect whether the correct compartment out of the staggering six thousand compartments fits into the space, visually represented by the entire compartment shining.

Theoretically, if you consider each camera code a two-dimensional vector, you only need two linearly independent vectors to span the entire two-dimensional space. In particular, two triggers should be enough to create every possible permutation, albeit taking some time. However...

- Two triggers are not enough. 80 and 125 are factors of 6000, but their lowest common multiple is not 6000. If this pattern continues, we will need a third trigger, particularly one that would group the compartments in groups of a multiple of 3.

Mirai immediately spots the last link of the game.

The camera permutation is not strictly a two-dimensional s