Problems
Largest inscribed rectangle
Largest inscribed rectangle
Output the maximum area of a rectangle that can be inscribed into a circle of radius \textbf{r}. Rectangle's shorter side should not be longer than \textbf{b}.
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\InputFile
First line contains the number of test cases \textbf{t }(\textbf{1 }≤ \textbf{t }≤ \textbf{1000}). Next \textbf{t }lines each contain two integers \textbf{r} and \textbf{b }(\textbf{1 }≤ \textbf{r}, \textbf{b }≤ \textbf{10000}).
\OutputFile
For each test case print on a separate line the maximum area of a rectangle with a maximum shorter side \textbf{b }that can be inscribed into a circle of radius \textbf{r}. Your answer should be rounded to three digits after the decimal point (see sample output).
Input example #1
3 1 1 1 2 2 2
Output example #1
1.732 2.000 6.928