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())
results = []
for i in range(t):
    n, k = [int(x) for x in input().strip().split(' ')]

    if n > k:
        results.append(k)
        continue

    loop = n - 1
    how_many_loops = k // loop
    res = n*how_many_loops + k % loop
    if k % loop == 0:
        res -= 1
    # import code
    # code.interact(local=locals())
    results.append(res)

# print("--")
for r in results:
    print(r)