Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ACM-ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.

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A. Remove a Progression

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputYou have a list of numbers from $$$1$$$ to $$$n$$$ written from left to right on the blackboard.

You perform an algorithm consisting of several steps (steps are $$$1$$$-indexed). On the $$$i$$$-th step you wipe the $$$i$$$-th number (considering only remaining numbers). You wipe the whole number (not one digit).

When there are less than $$$i$$$ numbers remaining, you stop your algorithm.

Now you wonder: what is the value of the $$$x$$$-th remaining number after the algorithm is stopped?

Input

The first line contains one integer $$$T$$$ ($$$1 \le T \le 100$$$) — the number of queries. The next $$$T$$$ lines contain queries — one per line. All queries are independent.

Each line contains two space-separated integers $$$n$$$ and $$$x$$$ ($$$1 \le x < n \le 10^{9}$$$) — the length of the list and the position we wonder about. It's guaranteed that after the algorithm ends, the list will still contain at least $$$x$$$ numbers.

Output

Print $$$T$$$ integers (one per query) — the values of the $$$x$$$-th number after performing the algorithm for the corresponding queries.

Example

Input

3 3 1 4 2 69 6

Output

2 4 12

Codeforces (c) Copyright 2010-2019 Mike Mirzayanov

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