Given an array of N positive integers, print out the missing elements (if any) in the range 0 to max of A_i. If
there are more than one missing, collate them using hyphen ( - ).

Input:
The first line of input contains an integer T denoting the number of test cases. Then T test cases follow. The first line of each test case contains a positive integer N, denoting the length of the array. The second line of each test case contains N space separated positive integers.

Output
Print out the range of missing numbers. If no element is missing, print "-1" (without quotes).

Constraints
1 <= T <= 100
0 <   N <= 10000000
0 <= A_i < 10000000

Examples:
Input
3
5
62 8 34 5 332 
4
13 0 32 500
5
2 0 9 15 999

Output
0-4 6-7 9-33 35-61 63-331
1-12 14-31 33-499
1 3-8 10-14 16-998

** For More Input/Output Examples Use 'Expected Output' option **