# Point within a circle

Execution time limit is 1 second

Runtime memory usage limit is 128 megabytes

Check, if the point is inside the circle.

## Input

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

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

## Examples

Input #1

Answer #1

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