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())
s=""
while(t>0):
    n,k=map(int,input().split())
    if(n>k):
        s+=(str(k)+"\n")
    else:
        p=k
        k+=int(k/n)
        while(True):
            if(int(k/n)-int(p/n)<=0):
                break
            temp=k
            k+=(int(k/n)-int(p/n))
            p=temp
        s+=(str(k)+"\n")        
    t-=1
print(s)