Ticket Counter
Easy Accuracy: 67.69% Submissions: 1707 Points: 2

N people standing in the queue of a movie ticket counter. It is a weird counter, distributes tickets to first K people and then last K people and again first K people and so on. The task is to find the last person to get the ticket.

Example: Let N = 9, K = 3, starting queue will like {1, 2, 3, 4, 5, 6, 7, 8, 9}. After the first distribution queue will look like {4, 5, 6, 7, 8, 9}. And after the second distribution queue will look like {4, 5, 6}. The last person to get the ticket will be 6.

Input:
1. The first line of the input contains a single integer T denoting the number of test cases. The description of T test cases follows.
2. The first line of each test case contains two space-separated integers N and K.


Output: For each test case, print the last problem which remains

Constraints:
1. 1 <= T <= 10

2. 1 <= K<= N <= 105

Example:

Input:
2
9 3
25 7

Output:
6
15

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Ticket Counter

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