Let $LCM(x, y)$ be the minimum positive integer that is divisible by both $x$ and $y$. For example, $LCM(13, 37) = 481$, $LCM(9, 6) = 18$.

You are given two integers $l$ and $r$. Find two integers $x$ and $y$ such that $l \le x \lt y \le r$ and $l \le LCM(x, y) \le r$.

Input

The first line contains one integer $t$ ($1 \le t \le 10000$) — the number of test cases.

Each test case is represented by one line containing two integers $l$ and $r$ ($1 \le l \lt r \le 10^9$).

Output

For each test case, print two integers:

• if it is impossible to find integers $x$ and $y$ meeting the constraints in the statement, print two integers equal to $-1$;
• otherwise, print the values of $x$ and $y$ (if there are multiple valid answers, you may print any of them).

Samples

4
1 1337
13 69
2 4
88 89

6 7
14 21
2 4
-1 -1