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A13382. K-th Not Divisible by n

编程题 普及/提高-

题目描述

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 $10$ .

输入格式

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 $k$ ( $1 \le k \le 10^9$ ).

输出格式

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

输入输出样例

输入 #1
6
3 7
4 12
2 1000000000
7 97
1000000000 1000000000
2 1
输出 #1
10
15
1999999999
113
1000000001
1
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