benchmarks.wiki / Public workspace
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Omni-MATH / In a single-elimination tournament consisting of 2⁹=512 teams, there is a strict ordering on the skill levels of the teams, but Joy does not know that ordering. The teams are rando…
Problem
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problem
In a single-elimination tournament consisting of teams, there is a strict ordering on the skill levels of the teams, but Joy does not know that ordering. The teams are randomly put into a bracket and they play out the tournament, with the better team always beating the worse team. Joy is then given the results of all 511 matches and must create a list of teams such that she can guarantee that the third-best team is on the list. What is the minimum possible length of Joy's list?
Plain-text mathematical notation (without MathML)
In a single-elimination tournament consisting of 2⁹=512 teams, there is a strict ordering on the skill levels of the teams, but Joy does not know that ordering. The teams are randomly put into a bracket and they play out the tournament, with the better team always beating the worse team. Joy is then given the results of all 511 matches and must create a list of teams such that she can guarantee that the third-best team is on the list. What is the minimum possible length of Joy's list?
Original LaTeX notation
In a single-elimination tournament consisting of $2^{9}=512$ teams, there is a strict ordering on the skill levels of the teams, but Joy does not know that ordering. The teams are randomly put into a bracket and they play out the tournament, with the better team always beating the worse team. Joy is then given the results of all 511 matches and must create a list of teams such that she can guarantee that the third-best team is on the list. What is the minimum possible length of Joy's list?Discussion
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Source and history
- task_id
82114c28-e86d-5677-8521-8b199cf24334- task_key
test--82114c28-e86d-5677-8521-8b199cf24334- task_revision_id
- 1
- config / split
- / test
initial import