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:
import math    
t =int(input())
for i in range(t):
	ans =0
	n , k = [int(x) for x in input().split()]
	if k>n:
		l = math.floor(k/(n-1))*n
		# print(l)
		ans = (n-1)*math.floor(k/(n-1))
		# print(ans)
		f = k-ans
		# print(f)
		if f==0:
			ans =l-1
			# print(f)
		else:
			ans =l+f
		print(ans)
	elif n==k:
		print(k+1)
	else:
		print(k)