A. Collatz Conjecture
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

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 $$$x$$$.

Input

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 $$$x$$$ ($$$1 \leq k,x \leq 20$$$).

Output

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

Example
Input
3
1 4
1 5
5 4
Output
1
10
21
Note

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.