Problem: 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.

Example

Input


6
3 7
4 12
2 1000000000
7 97
1000000000 1000000000
2 1


Output


10
15
1999999999
113
1000000001
1

Solution (in JAVA):

Solution:
function solve() {
    var input = readIntArray()
    var n = input[0]
    var k = input[1]

    var ans = Math.floor(k/(n-1))
    var rem = k % (n-1)

    var answer = ans*n + rem
    if (answer % n === 0) {
        answer -= 1
    }
    print(answer)
}

var testCases = readInt();
var testCaseNum;
for(testCaseNum=0; testCaseNum<testCases; testCaseNum++) {
  solve()
}

function readIntArray() {
    return readline().split(" ").map(function(x) { return parseInt(x); });
}

function readInt() {
    return parseInt(readline())
}