Valid Triangle Formation

You are given n points in the 2D plane. Your task is to determine if there exists a set of three distinct points that form a valid (non-collinear) triangle. A triangle is considered valid if its area is non-zero. You can use the formula for the area of a triangle given by three points \( (x_1, y_1) \), \( (x_2, y_2) \), \( (x_3, y_3) \):

\( Area = \frac{1}{2} \left|x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)\right| \)

If the computed area is zero, then the points are collinear and do not form a valid triangle. Otherwise, they do. Print YES if such a triangle exists, and NO if it does not.

inputFormat

The input is read from the standard input (stdin) and has the following format:

\n

\n
1. The first line contains an integer \( n \) (\( n \geq 1 \)) representing the number of points.
\n
2. The following \( n \) lines each contain two integers \( x \) and \( y \), representing the coordinates of each point.
\n

outputFormat

Output a single line to the standard output (stdout) containing YES if any three points form a valid triangle, otherwise output NO.

## sample

4
0 0
1 0
0 1
1 1

YES