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Problems

Point within a circle

Point within a circle

Time limit 1 second
Memory limit 128 MiB

Check, if the point is inside the circle.

Input data

The first line contains the coordinates of the circle center and its radius. The second line contains the coordinates of point A. All numbers are integers not exceeding 10000 by absolute value.

Output data

Print the "YES", if the point A belongs to a circle (with boundaries), and "NO" otherwise.

Examples

Input example #1
2 1 2
1 3
Output example #1
NO