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Trigonometric Function

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 125536/65536 K (Java/Others)
Total Submission(s): 917    Accepted Submission(s): 394


Problem Description
Give you a triangle ABC. Get more information in the picture below.

Now, give you 6 integers a, b, c, n, m and k. a, b and c are triangle ABC`s three edges. Can you judge whether the result of the following fraction is rational number?

 

Input
There are several test cases in the input data.
Each case is just one line with 6 integers -- a, b, c, n, m, k (0< a, b, c, n, m, k < 10^4) separated by spaces. The input data ensures that sin(kC) will not be equal with 0.

 

Output
Each case output ˇ°YESˇ±, if the result of the fraction is rational number, otherwise ˇ°NOˇ±.
 

Sample Input
2 1 1 1 1 1 1 3 4 5 6 7 7
 

Sample Output
NO YES
 

Source
 

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