y =| sin(2x)|

Input

The only line contains the coordinates of the point (x_0, y_0). The absolute values of the coordinates do not exceed $100$.

Output

Print a single line: YES if the point belongs to the specified region, NO if it does not, and ON BORDER if the point lies on the boundary of the region. In this problem, consider that the point lies on the boundary if, for the same $x$, its distance along the $y$-axis to one of the bounding lines does not exceed $0.0001$, or for the same $y$, the distance along the $x$-axis to a bounding line also does not exceed $0.0001$.

Examples