CF1352C K-th Not Divisible by n

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 \dots $ . The $ 7 $ -th number among them is $ 10 $ .

Input Format

The first line contains an integer $ t $ ( $ 1 \le t \le 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 \le n \le 10^9 $ ) and $ k $ ( $ 1 \le k \le 10^9 $ ).

Output Format

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