benchmarks.wiki / Public workspace
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Omni-MATH / (Caos) A cao [sic] has 6 legs, 3 on each side. A walking pattern for the cao is…
Problem
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problem
(Caos) A cao [sic] has 6 legs, 3 on each side. A walking pattern for the cao is defined as an ordered sequence of raising and lowering each of the legs exactly once (altogether 12 actions), starting and ending with all legs on the ground. The pattern is safe if at any point, he has at least 3 legs on the ground and not all three legs are on the same side. Estimate , the number of safe patterns.
Plain-text mathematical notation (without MathML)
(Caos) A cao [sic] has 6 legs, 3 on each side. A walking pattern for the cao is defined as an ordered sequence of raising and lowering each of the legs exactly once (altogether 12 actions), starting and ending with all legs on the ground. The pattern is safe if at any point, he has at least 3 legs on the ground and not all three legs are on the same side. Estimate N, the number of safe patterns.
Original LaTeX notation
(Caos) A cao [sic] has 6 legs, 3 on each side. A walking pattern for the cao is defined as an ordered sequence of raising and lowering each of the legs exactly once (altogether 12 actions), starting and ending with all legs on the ground. The pattern is safe if at any point, he has at least 3 legs on the ground and not all three legs are on the same side. Estimate $N$, the number of safe patterns.
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Source and history
- task_id
3c5f70d4-0fb9-5096-a2c9-af86e8e6352d- task_key
test--3c5f70d4-0fb9-5096-a2c9-af86e8e6352d- task_revision_id
- 1
- config / split
- / test
initial import