2388. Equal Total Scores

输入格式

The input consists of a number of datasets. Each dataset is formatted as follows.

n m

s₁

s₂

…

s_n

s_n+1

s_n+2

…

s_n+m

The first line of a dataset contains two numbers n and m delimited by a space, where n is the number of cards that Taro has and m is the number of cards that Hanako has. The subsequent n+m lines list the score for each of the cards, one score per line. The first n scores (from s₁ up to s_n) are the scores of Taro’s cards and the remaining m scores (from s_n+1 up to s_n+m) are Hanako’s.

The numbers n and m are positive integers no greater than 100. Each score is a non-negative integer no greater than 100.

The end of the input is indicated by a line containing two zeros delimited by a single space.

输出格式

For each dataset, output a single line containing two numbers delimited by a single space, where the first number is the score of the card Taro gives to Hanako and the second number is the score of the card Hanako gives to Taro. If there is more than one way to exchange a pair of cards that makes the total scores equal, output a pair of scores whose sum is the smallest.

In case no exchange can make the total scores equal, output a single line containing solely -1. The output must not contain any superfluous characters that do not conform to the format.

2 2
1
5
3
7
6 5
3
9
5
2
3
3
12
2
7
3
5
4 5
10
0
3
8
1
9
6
0
6
7 4
1
1
2
1
2
1
4
2
3
4
3
2 3
1
1
2
2
2
0 0

1 3
3 5
-1
2 2
-1