A8227 | Vectors
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内存限制256MB
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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?
- 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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评测结果:Accepted