benchmarks.wiki / Public workspace
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Omni-MATH / A regular (5×5)-array of lights is defective, so that toggling the switch for one light causes each adjacent light in the same row and in the same column as well as the light itsel…
Problem
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problem
A regular -array of lights is defective, so that toggling the switch for one light causes each adjacent light in the same row and in the same column as well as the light itself to change state, from on to off, or from off to on. Initially all the lights are switched off. After a certain number of toggles, exactly one light is switched on. Find all the possible positions of this light.
Plain-text mathematical notation (without MathML)
A regular (5×5)-array of lights is defective, so that toggling the switch for one light causes each adjacent light in the same row and in the same column as well as the light itself to change state, from on to off, or from off to on. Initially all the lights are switched off. After a certain number of toggles, exactly one light is switched on. Find all the possible positions of this light.
Original LaTeX notation
A regular $(5 \times 5)$-array of lights is defective, so that toggling the switch for one light causes each adjacent light in the same row and in the same column as well as the light itself to change state, from on to off, or from off to on. Initially all the lights are switched off. After a certain number of toggles, exactly one light is switched on. Find all the possible positions of this light.
Discussion
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Source and history
- task_id
c211a282-bc80-5b9e-9398-be1ba8abbe78- task_key
test--c211a282-bc80-5b9e-9398-be1ba8abbe78- task_revision_id
- 1
- config / split
- / test
initial import