benchmarks.wiki / Public workspace
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Omni-MATH / On each cell of a 3×6 the board lies one coin. It is known that some two coins lying on adjacent cells are fake. They have the same weigh, but are lighter than the real ones. All t…
Problem
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problem
On each cell of a the board lies one coin. It is known that some two coins lying on adjacent cells are fake. They have the same weigh, but are lighter than the real ones. All the other coins are real. How can one find both counterfeit coins in three weightings on a double-pan balance, without using weights?
Plain-text mathematical notation (without MathML)
On each cell of a 3×6 the board lies one coin. It is known that some two coins lying on adjacent cells are fake. They have the same weigh, but are lighter than the real ones. All the other coins are real. How can one find both counterfeit coins in three weightings on a double-pan balance, without using weights?
Original LaTeX notation
On each cell of a $3\times 6$ the board lies one coin. It is known that some two coins lying on adjacent cells are fake. They have the same weigh, but are lighter than the real ones. All the other coins are real. How can one find both counterfeit coins in three weightings on a double-pan balance, without using weights?
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Source and history
- task_id
d076d0cd-f4f4-58c5-a6f0-7d2b77869ff8- task_key
test--d076d0cd-f4f4-58c5-a6f0-7d2b77869ff8- task_revision_id
- 1
- config / split
- / test
initial import