Problem: We have a secret array. You don't know this array and you have to restore it. However, you know some facts about this array:

  * The array consists of n distinct positive (greater than 0) integers. 
  * The array contains two elements x and y (these elements are known for you) such that x < y. 
  * If you sort the array in increasing order (such that a_1 < a_2 < … < a_n), differences between all adjacent (consecutive) elements are equal (i.e. a_2 - a_1 = a_3 - a_2 = … = a_n - a_{n-1}). 



It can be proven that such an array always exists under the constraints given below.

Among all possible arrays that satisfy the given conditions, we ask you to restore one which has the minimum possible maximum element. In other words, you have to minimize max(a_1, a_2, ..., a_n).

You have to answer t independent test cases.

Input

The first line of the input contains one integer t (1 ≤ t ≤ 100) — the number of test cases. Then t test cases follow.

The only line of the test case contains three integers n, x and y (2 ≤ n ≤ 50; 1 ≤ x < y ≤ 50) — the length of the array and two elements that are present in the array, respectively.

Output

For each test case, print the answer: n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 10^9), where a_i is the i-th element of the required array. If there are several answers, you can print any (it also means that the order of elements doesn't matter).

It can be proven that such an array always exists under the given constraints.

Example

Input


5
2 1 49
5 20 50
6 20 50
5 3 8
9 13 22


Output


1 49 
20 40 30 50 10
26 32 20 38 44 50 
8 23 18 13 3 
1 10 13 4 19 22 25 16 7 

Solution (in PYTHON3):

Solution:
import math, sys
from collections import defaultdict, Counter, deque
 
INF = float('inf')
MOD = 10 ** 9 + 7
 
def gcd(a, b):
	while b:
		a, b = b, a%b
	return a
 
def isPrime(n):
	if (n <= 1): 
		return False
	i = 2
	while i ** 2 <= n:
		if n % i == 0:
			return False
		i += 1
	return True
 
def primeFactors(n):
	factors = defaultdict(int)
	i = 2
	while i ** 2 <= n:
		while n % i == 0:
			factors[i] += 1
			n //= i 
		i += 1
	if n > 1:
		factors[n] += 1 
	return factors
 
def vars():
	return map(int, input().split())
 
def array():
	return list(map(int, input().split()))


def a():
	a, b = map(int, input().split())

	ans = math.ceil(abs(b - a) / 10 )

	print(ans)

def b():
	a, b, x, y, n = vars()

	n1, n2 = n, n

	a1 = a - min(a - x, n)
	b2 = b - min(b - y, n)

	n1 -= (a - a1) 
	n2 -= (b - b2)

	b1 = b - min(b - y, n1)
	a2 = a - min(a - x, n2)

	print(min(a1*b1, a2*b2))


def c():
	n, x, y = vars()
	diff = None
	ans = None
	for d in range(1, y - x + 1):
		arr = []
		num = x 
		while num <= y:
			arr.append(num)
			num += d 
		if len(arr) <= n and x in arr and y in arr:
			diff = d
			break
	
	for start in range(1, x + 1):
		ans = []
		num = start
		for i in range(n):
			ans.append(num)
			num += diff 
		if x in ans and y in ans:
			print(*ans)
			return


if __name__ == "__main__":
	t = 1
	t = int(input())
	for _ in range(t):
		c()