Treasure Trails/Guide/Light boxes

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Light boxes are a puzzle players will occasionally need to solve for a master Treasure Trail. Light boxes contain a 5x5 grid of lights and 8 switches to turn them on and off. The goal of the puzzle is to light all the lights.

If destroyed, or otherwise lost, the puzzle will have to be solved again from the beginning.

Solving the puzzle

The light box interface.

One strategy is to concentrate on one light at a time and flip every switch, taking note on a piece of paper of which switches control that light. This is then repeated for all lights until a light is found which is only controlled by one switch. The position of the switch which turns that particular light on is the permanent position of that switch. Thus, it no longer becomes necessary to check that particular switch, thereby halving the remaining switch permutations. In other words, finding one is twice as hard as finding the next with the first one being the hardest to find.

There is also a brute-force method, which requires turning the switches on in this order from left to right:

Brute force method (from left to right)
ABAC ABAD ABAC ABAE ABAC ABAD ABAC ABAF
ABAC ABAD ABAC ABAE ABAC ABAD ABAC ABAG
ABAC ABAD ABAC ABAE ABAC ABAD ABAC ABAF
ABAC ABAD ABAC ABAE ABAC ABAD ABAC ABAH
ABAC ABAD ABAC ABAE ABAC ABAD ABAC ABAF
ABAC ABAD ABAC ABAE ABAC ABAD ABAC ABAG
ABAC ABAD ABAC ABAE ABAC ABAD ABAC ABAF
ABAC ABAD ABAC ABAE ABAC ABAD ABAC