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:
t=int(input())
for hh in range(0,t):
    n,k=[int(x) for x in input().split()]
    if k<n:
        print(k)
    elif k==n:
        print(n+1)
    elif n==2:
        ans=2*(k-1)+1
        print(ans)
    else:
        lessthann=n-1
        comp=k//lessthann
        ans=n*comp
        rem=k%lessthann
        if rem!=0:
            ans+=rem
        else:
            ans-=1
        print(ans)