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 integerT 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 Nand K.
Output: For each test case, print the last problem which remains
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Avoid using static/global variables in your code as your code is tested
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Passing the Sample/Custom Test cases does not guarantee the correctness of code.
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Avoid using static/global variables in coding problems as your code is tested
against multiple test cases and these tend to retain their previous values.
Passing the Sample/Custom Test cases in coding problems does not guarantee the
correctness of code. On submission, your code is tested against multiple test cases
consisting of all possible corner cases and stress constraints.
POTD
POTD
