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MathNet 2009-part-05 — 172 problems (EN–VI) Question 79

Math Olympiad Vault · MathNet 2009-part-05 — 172 problems (EN–VI)

Question 79

Write down a pair of integers $(a, b)$, where $-100000 \lt a \lt b \lt 100000$. You will get $\max (25, k)$ points, where $k$ is the number of other teams' pairs that you interleave. (Two pairs $(a, b)$ and $(c, d)$ of integers interleave each other if $a \lt c \lt b \lt d$ or $c \lt a \lt d \lt b$.)