BxMO 2020 Problem 2
- Answer
Let be a positive integer. A collection of unit tiles with two segments drawn on them as shown is assembled into a board. Tiles can be rotated.
The segments on the tiles define paths on the board. Determine the least possible number and the largest possible number of such paths.
Dataset text NuminaMath olympiads. Quoted with source.
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4 N \leqslant p \leqslant N^{2}+(N+1)^{2}
Solutions
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