You would have been fed up with competitive programming questions so far, now it is time to solve little math.

Assume you have a equation A * x - B * y = 0

For a given value of A and B, find the minimum positive integer value of x and y that satisfies this equation.

Input

First line contains T, number of test cases 0 <= T <=1000 followed by T lines.

First line of each test case contains two space seperated integers A and B. 1 <= A, B <=1 000 000 000.

Output

For each test case, output a single line containing two integers x and y (seperated by a single space).

Example

Input:
1
2 3

Output:
3 2

Note:

• Brute force won't pass the given constraint.
• Negative number cases are avoided to make the problem easy.