A14642 | Mathematical Addition

Ivan decided to prepare for the test on solving integer equations. He noticed that all tasks in the test have the following form:

- You are given two positive integers $u$ and $v$, find any pair of integers (**not necessarily positive**) $x$, $y$, such that:

$$\frac{x}{u} + \frac{y}{v} = \frac{x + y}{u + v}.$$

- The solution $x = 0$, $y = 0$ is forbidden, so you should find any solution with $(x, y) \neq (0, 0)$.

Please help Ivan to solve some equations of this form.

The first line contains a single integer $t$ ( $1 \leq t \leq 10^3$ ) — the number of test cases. The next lines contain descriptions of test cases.

The only line of each test case contains two integers $u$ and $v$ ( $1 \leq u, v \leq 10^9$ ) — the parameters of the equation.

For each test case print two integers $x$ , $y$ — a possible solution to the equation. It should be satisfied that $-10^{18} \leq x, y \leq 10^{18}$ and $(x, y) \neq (0, 0)$ .

We can show that an answer always exists. If there are multiple possible solutions you can print any.