#P1358. TrigonometricFunction

TrigonometricFunction

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 “YES”, if the result of the fraction is rational number, otherwise “NO”.

Sample Input

2
1 1 1 1 1 1
3 4 5 6 7 7

Sample Output

NO
YES

HINT

Source