Matchsticks are ideal tools to represent numbers. A common way to represent the ten decimal digits with matchsticks is the following:
This is identical to how numbers are displayed on an ordinary alarm clock. With a given number of matchsticks you can generate a wide range of numbers. We are wondering what the smallest and largest numbers are that can be created by using all your matchsticks.
On the first line one positive number: the number of testcases, at most 100. After that per testcase:
- One line with an integer n (2 ≤ n ≤ 100): the number of matchsticks you have.
- One line with the smallest and largest numbers you can create, separated by a single space. Both numbers should be positive and contain no leading zeroes.