Vectors

1000ms

262144K

Description:

At a geometry lesson Gerald was given a task: to get vector B out of vector A. Besides, the teacher permitted him to perform the following operations with vector А:

Turn the vector by 90 degrees clockwise.
Add to the vector a certain vector C.

Operations could be performed in any order any number of times.

Can Gerald cope with the task?

Input:

The first line contains integers x₁ и y₁ — the coordinates of the vector A ( - 10⁸ ≤ x₁, y₁ ≤ 10⁸). The second and the third line contain in the similar manner vectors B and C (their coordinates are integers; their absolute value does not exceed 10⁸).

Output:

Print "YES" (without the quotes) if it is possible to get vector B using the given operations. Otherwise print "NO" (without the quotes).

Sample Input:

0 0
1 1
0 1

Sample Output:

YES

Sample Input:

0 0
1 1
1 1

Sample Output:

YES

Sample Input:

0 0
1 1
2 2

Sample Output:

NO

Informação

Provedor Codeforces

Código CF101C