A. Collatz Conjecturetime limit per test1 secondmemory limit per test256 megabytesinputstandard inputoutputstandard outputYou 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 $$$x$$$.InputEach 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 $$$x$$$ ($$$1 \leq k,x \leq 20$$$).OutputFor each test case, print any possible initial value on a new line. It can be shown that the answer always exists.ExampleInput31 41 55 4Output1
10
21
NoteIn 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.