Finding a Line

A coordinate plane holds $N$ distinct points. Decide whether some line passes through at least $p$ percent of them. In other words, decide whether a line passes through at least $0.01 \times N \times p$ points.

The first line has the number of points $N$ ($1 \le N \le 10^5$).

The second line has the percentage $p$ as an integer ($20 \le p \le 100$).

Each of the next $N$ lines has the coordinates $x$ and $y$ of one point as two integers separated by a space ($0 \le x, y \le 10^9$).

All given points are distinct.

Print possible if such a line exists, and impossible otherwise.

In the first example the line through $(0, 0)$, $(3, 3)$ and $(10, 10)$ works. It passes through 3 points, which meets the requirement of 2.75.