C. Vectors
time limit per test
1 second
memory limit per test
256 megabytes
input
stdin
output
stdout

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).

Examples
Input
0 0
1 1
0 1
Output
YES
Input
0 0
1 1
1 1
Output
YES
Input
0 0
1 1
2 2
Output
NO