Degrees, radians, gradians

In math class, Alice thought of an angle measured by an integer $n$ degrees (from 0 to 359) and passed Bob the value of the angle written in one of three common units: degrees, radians, or gradians (a metric unit of angle measurement; a right angle contains 100 gradians). The notation has exactly 6 digits after the decimal point and differs from the exact value by less than $5 \cdot 10^{-7}$.

Bob asked you to help recover the value of $n$ and to determine which units Alice used for the notation.

The first line of the input contains a single integer $T$, the number of test cases ($1 \le T \le 20$). Each of the following $T$ lines contains a single real number written with exactly 6 digits after the decimal point: the result of Alice's calculation.

It is guaranteed that the numbers were obtained in the manner described in the problem statement.

If the value of $n$ and the units used cannot be recovered uniquely, output $-1$. Otherwise output two integers: the original value $n$ and the type of units, where $1$ is degrees, $2$ is radians, and $3$ is gradians.

In the first example, Bob can recover $n=0$, but he cannot get any information about the units, so the answer is $-1$.