CF101C.Vectors

普及/提高-

通过率：0%

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题目描述

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?

输入格式

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 $10^{8}$ ).

输出格式

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

输入输出样例

输入#1
```
0 0
1 1
0 1
```
输出#1
```
YES
```
输入#2
```
0 0
1 1
1 1
```
输出#2
```
YES
```
输入#3
```
0 0
1 1
2 2
```
输出#3
```
NO
```

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