Dividing a field P83390

When Jordi and Mireia married several years ago, they put their gold together to buy a circular field with a radius of 1000 meters. Jordi put $J$ kg of gold, and Mireia put $M$ kg. Time has passed and they divorce, so they have decided to divide the field in such a way that each one receives an area proportional to the gold invested by he or she. They will use a rope of length $L$ meters, tie one extreme to the easternmost point, and use the other extreme to mark the limit of the fields. Since Jordi is a gentleman, he will settle for the left, worst shaped field, while Mireia will get the field to the right, painted green in the picture.

The problem you must solve is: given the amounts of gold $J$ and $M$, which must be the length $L$ of the rope?

Input

Input begins with the number of cases. Every case consists of two real numbers $J \in [1, 100]$ and $M \in [1, 100]$.

Output

For every case, print the length $L$ of the rope with four digits after the decimal point. The input cases have no precision issues.