URI Online Judge | 1465

# Complex, Difficult and Complicated

By Ginés García Mateos, UM España
Timelimit: 1

Complex numbers are not only complex, but also complicated. So you would better try to solve another problem...

We have a complex number, a+b*i, where i is the square root of -1. We want to make it simple (I mean, real), by raising it to a natural power. For example, complex number 2+2*i, can be made simple by raising it to 4:

(2+2*i)4 = -64

You have to compute the smallest natural number, N, (zero is not included) such that (a+b*i)N is a real number. Besides, we require that the absolute value of (a+b*i)N is not bigger than 230.

## Input

The first line of the input contains an integer M, indicating the number of test cases.

For each test case, there is a line with two integers A and B. A is the real part of the complex number, and B is the imaginary part.

You can assume that -10000 ≤ A ≤ 10000, and -10000 ≤ B ≤ 10000.

## Output

For each test case, the output should consist of a single positive natural number N in one line, indicating the power such that (A+B*i)N is real and its absolute value is not greater than 230. If there is no solution, you have to output "TOO COMPLICATED".

 Sample Input Sample Output 5 817 0 2 2 0 -1 18 92 -7 7 1 4 2 TOO COMPLICATED 4