y = sin x#2028

y = sin x

1 second
128 megabytes
Medium

Determine whether point with coordinates (x_0;\ y_0) belongs to the part of the plane bounded by the segment of the abscissa from to and the sinusoid y = \sin x.

Input

A single line is given with the coordinates of the point (x_0;\ y_0). The coordinates of the point do not exceed in absolute value.

Output

Print a single line: YES if the point belongs to this part of the plane, NO if it does not, and ON BORDER if the point belongs to one of the boundary lines. In this problem, consider that a point belongs to a boundary line if, at the same abscissa, the distance from it to any of the boundary lines along the ordinate axis does not exceed , or at the same ordinate, the distance from the point to any of the boundary lines along the abscissa axis also does not exceed .

Examples

Example 1

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