Contest Duration: - (local time) (270 minutes) Back to Home

B - Bowling Editorial by rng58_admin

Again, the solution is very simple, but it may be hard to come up with.

Let $$\vec{p}, \vec{q}, \vec{r}$$ be vectors of random lengths that are parallel to A, B, and C’s viewing directions. Then, the set

$$\{ i \vec{p} + j \vec{q} + k \vec{r} \ | \ 0 \leq i, j, k < 10 \}$$

satisfies the conditions.

Why? For example, from A’s direction, only the values of $$j$$ and $$k$$ matter, and A can see only $$100$$ points. However, D sees all $$1000$$ points.

posted:
last update: