Problem Statement

We have $N$ points on a two-dimensional infinite coordinate plane.

The $i$-th point is at $(x_i,y_i)$.

Is there a triple of distinct points lying on the same line among the $N$ points?

Constraints

• All values in input are integers.
• $3 \leq N \leq 10^2$
• $|x_i|, |y_i| \leq 10^3$
• If $i \neq j$, $(x_i, y_i) \neq (x_j, y_j)$.

Input

Input is given from Standard Input in the following format:

N
x_1 y_1
\vdots
x_N y_N

Output

If there is a triple of distinct points lying on the same line, print Yes; otherwise, print No.