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:
# exec(open('test.py').read())
 
 
t = int(input())
 
AnsList = []
 
for _ in range(t):
	n,k = map(int, input().split())
	q = k//(n-1)
	r = k%(n-1)
	if r == 0:
		ans = q*n-1
	else:
		ans = q*n + r
	AnsList.append(ans)

for x in AnsList:
	print(x)