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**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 <= 10^{5}

**Example:**

Input:2 9 3 25 7Output:6 15

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