URI Online Judge | 1589
# Bob Conduit

**Timelimit: 1**

By Bruno Adami, Universidade de São Paulo - São Carlos Brazil

You have gotten two circular energy cables. The first one has radius R1 and the second R2. You need to buy a circular conduit (see the image below) that fits those two cables:

What is the smallest radius of a conduit you need to buy? In other words, given two circles, what is the smallest radius of a third circle that circumscribe the other two?

In the first line there is an integer **T** (**T** ≤ 10000), indicating the number of test cases.

On the only line of each test case we will have the two integers

In each test case, output the answer in a single line.

Sample Input | Sample Output |

3 1 1 2 8 8 2 |
2 10 10 |