CF2137A Collatz Conjecture

You are doing a research paper on the famous Collatz Conjecture. In your experiment, you start off with an integer $$$x$$$, and you do the following procedure $$$k$$$ times: - If $$$x$$$ is even, divide $$$x$$$ by $$$2$$$. - Otherwise, set $$$x$$$ to $$$3\\cdot x+1$$$. For example, starting off with $$$21$$$ and doing the procedure $$$5$$$ times, you get $$$21\\rightarrow64\\rightarrow32\\rightarrow16\\rightarrow8\\rightarrow4$$$. After all $$$k$$$ iterations, you are left with the final value of $$$x$$$. Unfortunately, you forgot the initial value. Please output any possible initial value of $$$x$$$.

Each test contains multiple test cases. The first line contains the number of test cases $$$t$$$ ($$$1 \\le t \\le 400$$$). The description of the test cases follows. The first line of each test case contains two integers $$$k$$$ and $$$x$$$ ($$$1 \\leq k,x \\leq 20$$$).

For each test case, print any possible initial value on a new line. It can be shown that the answer always exists.

In the first test case, since $$$1$$$ is odd, performing the procedure $$$k=1$$$ times results in $$$1\\cdot3+1=4$$$, so $$$1$$$ is a valid output. In the second test case, since $$$10$$$ is even, performing the procedure $$$k=1$$$ times results in $$$\\frac{10}{2}=5$$$, so $$$10$$$ is a valid output. The third test case is explained in the statement.