**0 人解决**，5 人已尝试。

**0 份提交通过**，共有 13 份提交。

**9.9** EMB 奖励。

**单点时限: **2.0 sec

**内存限制: **256 MB

On mother’s day,the organizer give everyone a square piece of paper, measured L cm in both width and height. Pick a point P on AD with AP = X cm; Pick a point Q on BC with CQ = Y cm. The paper is then folded along PQ.

Partychen what you to write a program to help him to calculate the area of overlap (the grey region) as shown in the figure.

The first line of the input is an integer N (0<N<5000). Each of the following N lines contains three non-negative real numbers L, X, Y separated by space.

You may assume that L is always positive and that X, Y ≤ L.

Write a line for each input containing the area of overlap. Numbers should be rounded to 3 digits after the decimal point.

Input

3 100.0 50.0 50.0 100.0 0.0 0.0 250.0 50.0 80.0

Output

5000.000 5000.000 25230.314

**0 人解决**，5 人已尝试。

**0 份提交通过**，共有 13 份提交。

**9.9** EMB 奖励。

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