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Omni-MATH / In a tennis club, each member has exactly k>0 friends, and a tournament is organized in rounds such that each pair of friends faces each other in matches exactly once. Rounds are p…
Problem
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problem
In a tennis club, each member has exactly friends, and a tournament is organized in rounds such that each pair of friends faces each other in matches exactly once. Rounds are played in simultaneous matches, choosing pairs until they cannot choose any more (that is, among the unchosen people, there is not a pair of friends which has its match pending). Determine the maximum number of rounds the tournament can have, depending on .
Plain-text mathematical notation (without MathML)
In a tennis club, each member has exactly k>0 friends, and a tournament is organized in rounds such that each pair of friends faces each other in matches exactly once. Rounds are played in simultaneous matches, choosing pairs until they cannot choose any more (that is, among the unchosen people, there is not a pair of friends which has its match pending). Determine the maximum number of rounds the tournament can have, depending on k.
Original LaTeX notation
In a tennis club, each member has exactly $k > 0$ friends, and a tournament is organized in rounds such that each pair of friends faces each other in matches exactly once. Rounds are played in simultaneous matches, choosing pairs until they cannot choose any more (that is, among the unchosen people, there is not a pair of friends which has its match pending). Determine the maximum number of rounds the tournament can have, depending on $k$.
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- task_id
1e0ff961-ab94-572d-bb1b-7b4c8bb33236- task_key
test--1e0ff961-ab94-572d-bb1b-7b4c8bb33236- task_revision_id
- 1
- config / split
- / test
initial import