Four Circles#269

Four Circles

0.1 seconds
64 megabytes
Very easy

Four circles are mutually tangent to one another as shown in the diagram. If the radii of the three larger circles are , , and , what is the radius of the fourth circle?

Input

The only line contains three integers , , (1 \leq a, b, c \leq 1000) — the radii of the larger circles.

Output

Print the radius of the fourth, smallest, circle as a real number rounded to digits after the decimal point.

Examples

Example 1

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