Given a keypad as shown in diagram, and an N digit number. List all words which are possible by pressing these numbers.
Input:
The first line of input contains an integer T denoting the number of test cases. T testcases follow. Each testcase contains two lines of input. The first line of each test case is N, N is the number of digits. The second line of each test case contains D[i], N number of digits.
Output:
Print all possible words from phone digits with single space.
Constraints:
1 <= T <= 10
1 <= N <= 10
2 <= D[i] <= 9
Example:
Input:
1
3
2 3 4
Output:
adg adh adi aeg aeh aei afg afh afi bdg bdh bdi beg beh bei bfg bfh bfi cdg cdh cdi ceg ceh cei cfg cfh cfi