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 PYTHON3):

Solution:
def solve(n,k):
    if k < n:
        return k
    if k == n:
        return n + 1

    passed = (k - 1) // (n - 1)
    return k + passed

def main():
    t = int(input())
    for i in range(t):
        d = input()
        d = [int(i) for i in d.split()]
        n = int(d[0])
        a = int(d[1])
        ans = solve(n,a) 
        print(ans)       
main()
# print(solve(2,1000000000))
# print(solve(3,7))