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?

输入描述:

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).

输出描述:

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