K-th Not Divisible by n

TimeLimit:1000MS  MemoryLimit:256MB
64-bit integer IO format:%I64d
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Problem Description

You are given two positive integers n and k. Print the k-th positive integer that is not divisible by n.


For example, if n=3, and k=7, then all numbers that are not divisible by 3 are: 1,2,4,5,7,8,10,11,13…. The 7-th number among them is 10


Input

The first line contains an integer t (1≤t≤1000) — the number of test cases in the input. Next, t test cases are given, one per line.


Each test case is two positive integers n (2≤n≤10^9) and k (1≤k≤10^9).


Output

For each test case print the k-th positive integer that is not divisible by n.

SampleInput
6
3 7
4 12
2 1000000000
7 97
1000000000 1000000000
2 1
SampleOutput
10
15
1999999999
113
1000000001
1
Submit
题目统计信息详细
总AC数15
通过人数15
尝试人数15
总提交量15
AC率100.00%
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