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())

while t>0:
    t-=1 
    inp=input().split(" ")
    n=int(inp[0])
    k=int(inp[1])
    
    if n<=k:
        ite=k//(n-1)
        
        if k%(n-1)==0:
            rem=(k%(n-1))-1
        else:
            rem=k%(n-1)
        ans=(n*ite)+rem
        print(ans)
    else:
        print(k)
# 6
# 3 7
# 4 12
# 2 1000000000
# 7 97
# 1000000000 1000000000
# 2 1