benchmarks.wiki / Public workspace
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Omni-MATH / Given is a natural number n>4. There are n points marked on the plane, no three of which lie on the same line. Vasily draws one by one all the segments connecting pairs of marked p…
Problem
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problem
Given is a natural number . There are points marked on the plane, no three of which lie on the same line. Vasily draws one by one all the segments connecting pairs of marked points. At each step, drawing the next segment , Vasily marks it with the smallest natural number, which hasn't appeared on a drawn segment that has a common end with . Find the maximal value of , for which Vasily can act in such a way that he can mark some segment with the number ?
Plain-text mathematical notation (without MathML)
Given is a natural number n>4. There are n points marked on the plane, no three of which lie on the same line. Vasily draws one by one all the segments connecting pairs of marked points. At each step, drawing the next segment S, Vasily marks it with the smallest natural number, which hasn't appeared on a drawn segment that has a common end with S. Find the maximal value of k, for which Vasily can act in such a way that he can mark some segment with the number k?
Original LaTeX notation
Given is a natural number $n>4$. There are $n$ points marked on the plane, no three of which lie on the same line. Vasily draws one by one all the segments connecting pairs of marked points. At each step, drawing the next segment $S$, Vasily marks it with the smallest natural number, which hasn't appeared on a drawn segment that has a common end with $S$. Find the maximal value of $k$, for which Vasily can act in such a way that he can mark some segment with the number $k$?
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- task_id
5c4635f3-566f-539e-801a-01592fcfaaaa- task_key
test--5c4635f3-566f-539e-801a-01592fcfaaaa- task_revision_id
- 1
- config / split
- / test
initial import