Find the area of a triangle with all its three sides given as a,b and c.

**Input:**

The first line of input contains an integer T denoting the number of test cases. Each test case contains

three space-separated integers a,b and c.

**Output:**

Output the area of the triangle answer with a precision of 6 decimal places.The area is to be printed as 0.000000 if the triangle does not exist.

**Constraints:**

1<=t<=200

1<=a,b,c <= 100

**Example:**

Input:

2

2 2 3

3 4 5

**Output:**

1.984313

6.000000

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