Non-Prime 2

A member of the contest staff, a KSA student, recently overcame their fear of prime numbers but can no longer tell one prime from another. To restore KSA's honor, read a prime $k$ and find any fraction $\cfrac{p}{q}$ that represents $k$.

$p$ and $q$ are positive integers at most $10^{9}$. The answer is correct if the absolute error or the relative error between $k$ and $\cfrac{p}{q}$ is at most $10^{-6}$.

The first line contains the prime $k$.

On the first line, print YES if a fraction satisfying the condition exists, and NO otherwise.

If such a fraction exists, print two integers $p$ and $q$ separated by a space on the second line.

If there are multiple correct answers, you may print any of them.

• $0 < k < 1$
• $k$ is given with at most eight digits after the decimal point.
• The decimal has no unnecessary trailing $0$.

The absolute error is the difference between the true value and the approximation. The relative error is the absolute error divided by the true value. In this problem, the true value is $k$, and the approximation is $\cfrac{p}{q}$.