Cake#112

Cake

1 second
128 megabytes
Very easy

At a birthday party, a huge festive cake was served to three friends. The first friend could eat the entire cake by themselves in t_1 hours, the second in t_2 hours, and the third in t_3 hours.

How much time will it take the three friends to eat the whole cake together?

Input

The only line contains three non-negative integers t_1, t_2, and t_3, each not exceeding .

Output

Print the time in hours it takes for the three friends to eat the cake together. Round the result to two decimal places.

Examples

Example 1

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