Twelve Switches, No Mercy

Twelve Switches, No Mercy: A vast silent machine exposes its lamps, but hides the switches that changed them. Original binary algebra puzzle with a mathematically certified unique solution.

Original puzzle evidence

A vast silent machine exposes its lamps, but hides the switches that changed them.

THE SWITCH MATRIX · EXTREME

1. Lamp 1: toggled by switches A, F, G, I, observed OFF
2. Lamp 2: toggled by switches C, D, G, H, I, observed ON
3. Lamp 3: toggled by switches A, B, D, G, J, L, observed ON
4. Lamp 4: toggled by switches A, B, F, I, observed OFF
5. Lamp 5: toggled by switches C, G, H, I, K, L, observed OFF
6. Lamp 6: toggled by switches A, B, C, H, K, L, observed OFF
7. Lamp 7: toggled by switches A, C, E, G, observed ON
8. Lamp 8: toggled by switches C, D, J, observed OFF
9. Lamp 9: toggled by switches C, E, G, I, J, observed OFF
10. Lamp 10: toggled by switches A, B, C, F, G, K, observed OFF
11. Lamp 11: toggled by switches A, D, E, F, G, K, observed OFF
12. Lamp 12: toggled by switches B, G, H, K, observed ON

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