On the Line?

Time Limit: 0.5 sec

 

The Problem

Develop a program that, given as input three points P₁, P₂, and P₃ on the cartesian coordinate plane, reports whether P₂ lies on the line containing P₁ and P3.

 

If P₂ lies on the line containing P₁ and P₃ then print "Yes" otherwise print "No".

 

The Input

The input file contains several lines of input. Each line contains six integers numbers. First pair of numbers denote the (x1, y1) coordinates of P₁. Second pair of numbers denote the (x2, y2) coordinates of P₂. Final pair of denote the (x3, y3) coordinates of the P₃. Input is terminated by end of file (EOF). All coordinates are between -10000 and +10000.

 

The Output

Your output should print a single line for each line of input. For each line, If P₂ lies on the line containing P₁ and P₃ the output line should print “Yes”. Otherwise the output line should print “No”.

 

Sample Input

2 2 1 1 4 5

-1 -1 0 0 2 2

 

Sample Output

No

Yes

 

 

 

 

Problem Setter: Shahin ShamS