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5708. Vectors

time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

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 A:

  • 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 , 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

难度等级： 3
总通过次数： 1
总提交次数： 1
  • implementation，math
ACM/ICPC