You 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 $x$ ($1 \le x \lt n \le 10^{9}$) — 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.

Samples

3
3 1
4 2
69 6

2
4
12