CF593B Anton and Lines

Description

The teacher gave Anton a large geometry homework, but he didn't do it (as usual) as he participated in a regular round on Codeforces. In the task he was given a set of $ n $ lines defined by the equations $ y=k_{i}·x+b_{i} $ . It was necessary to determine whether there is at least one point of intersection of two of these lines, that lays strictly inside the strip between $ x_{1}<x_{2} $ . In other words, is it true that there are $ 1

Input Format

The first line of the input contains an integer $ n $ ( $ 2

Output Format

Print "Yes" (without quotes), if there is at least one intersection of two distinct lines, located strictly inside the strip. Otherwise print "No" (without quotes).

Explanation/Hint

In the first sample there are intersections located on the border of the strip, but there are no intersections located strictly inside it. ![](https://cdn.luogu.com.cn/upload/vjudge_pic/CF593B/e1a49e4b0c04e7481c4ca085ab81f29a92c6744a.png)