benchmarks.wiki / Public workspace
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Omni-MATH / A regular hexagon PROFIT has area 1. Every minute, greedy George places the…
Problem
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problem
A regular hexagon PROFIT has area 1. Every minute, greedy George places the largest possible equilateral triangle that does not overlap with other already-placed triangles in the hexagon, with ties broken arbitrarily. How many triangles would George need to cover at least of the hexagon's area?
Plain-text mathematical notation (without MathML)
A regular hexagon PROFIT has area 1. Every minute, greedy George places the largest possible equilateral triangle that does not overlap with other already-placed triangles in the hexagon, with ties broken arbitrarily. How many triangles would George need to cover at least 90% of the hexagon's area?
Original LaTeX notation
A regular hexagon PROFIT has area 1. Every minute, greedy George places the largest possible equilateral triangle that does not overlap with other already-placed triangles in the hexagon, with ties broken arbitrarily. How many triangles would George need to cover at least $90 \%$ of the hexagon's area?
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Source and history
- task_id
55e6573c-f188-560c-acf8-af23336b7948- task_key
test--55e6573c-f188-560c-acf8-af23336b7948- task_revision_id
- 1
- config / split
- / test
initial import