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 $*x*_{1}$ и $*y*_{1}$ — the coordinates of the vector $*A*$ ($- 10^{8} ≤ *x*_{1}, *y*_{1} ≤ 10^{8}$). 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 $10^{8}$).

Output

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