Point and the circle#2027

Point and the circle

1 second
128 megabytes
Very easy

Determine if the point with coordinates (, ) is inside, on, or outside a circle with center (x_0, y_0) and radius .

Input

The first line contains the coordinates of point (, ). The second line contains three integers: the circle's radius (0 < R \leq 200) and the coordinates of its center (x_0, y_0). All coordinates are integers with absolute value not exceeding .

Output

Print YES if the point is inside the circle, NO if the point is outside the circle, and ON BORDER if the point is on the circle.

Examples

Example 1

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