Output the maximum area of a rectangle that can be inscribed into a circle of radius R. Rectangle's shorter side should not be longer than B.
First line of the input contains an integer T (1 <= T <= 1000) - the number of test cases. Next T lines each contain two integers R and B (1 <= R,B <= 10000).
For each test case print on a separate line the maximum area of a rectangle with a maximum shorter side B that can be inscribed into a circle of radius R. Your answer should be rounded to three digits after the decimal point (see sample output).
3 1 1 1 2 2 2
1.732 2.000 6.928