2D Coordinate Conversion

There are several ways to express the position of a point in two-dimensional space. The Cartesian coordinate system, which is widely used, expresses a point's position with a one-dimensional position along the x-axis and the y-axis. This problem introduces another way to express a point's two-dimensional position. For convenience, let the coordinates of point $P$ in the Cartesian coordinate system be $(x, y)$.

• Polar coordinate system: Let the length of $\overline{OP}$ be $r$, and let $\theta$ be the angle measured counterclockwise from the positive x-axis to $\overrightarrow{OP}$. Then the coordinates of $P$ are $(r, \theta)$. ($r \ge 0$; $0\le\theta\lt 2\pi$) However, if $r=0$, $\theta$ is defined as $0$.

Given the coordinates of $P$ in either the Cartesian or the polar coordinate system, convert them to coordinates in the other system.

The first line contains the number of test cases $T$. $(1\le T\le 1\,000)$

Each test case consists of 2 lines, starting from the second line.

The first line of a test case contains the coordinate system number of the coordinates to convert. 1 is the Cartesian coordinate system, and 2 is the polar coordinate system.

The second line of a test case contains two real numbers $a$ and $b$, given to eight decimal places, that represent the coordinates to convert. $(a, b)$ is $(x, y)$ in the Cartesian case and $(r, \theta)$ in the polar case. $(-100\le x, y\le 100;$ $0 \le r \le 100)$

For each test case, print on one line two real numbers that represent the converted coordinates.

An absolute or relative error of up to $10^{-6}$ is allowed.