Ring — Eolymp

Input

The first line contains the coordinates of the given point $(x; y)$ . The second line contains the coordinates of the center of the ring $(x_{0}; y_{0})$ (x_0; y_0), followed by the values of the radii $R_{1}$ R_1 and $R_{2}$ R_2. All input values are integers and their absolute values do not exceed $100$ .

Output

Output a single line: YES if the point belongs to the specified part of the plane, NO if it does not, and ON BORDER if the point lies on the boundary of the specified region. In this problem, consider that the point belongs to any of the boundaries of the region if, for the same abscissas, the distance from the point to any bounding line along the ordinate axis does not exceed $0.01$ , or for the same ordinates, the distance from the point to any bounding line along the abscissa axis does not exceed $0.01$ .

Examples

Example 1

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