Three Circles in a Triangle

Time Limit: 2000/1000MS (Java/Others) Memory Limit: 262144/131072KB (Java/Others)

Problem Description

There are three kingdoms in a country which the shape is triangular.Every kingdom wants to expand their control scope which is a circle.But when one kingdom's control scope is bigger, the other two may reduce,when they found this simple rule,they made a deal,they will make full use of this triangular country together instead of fighting each other.So they have a problem, what's the maximum ratio that the sum of three circles' area divided by the triangular country? We should make sure that every circle is inside of the triangle, and every two of them should not have any overlap.

Input

Three numbers(<100000)indicate the length of the triangle .

Output

For each test case, you should output the precentage of the maximum ratio, the result should be rounded to 2 decimal places.

Sample Input

6 6 6

Sample Output

73.90%

Source

第九届北京化工大学程序设计竞赛

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Solved Number2
Submit Number12
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