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Problem 1376 Random Numbers

## Problem Description

Random numbers are used for computer games but they are also used on a more serious scale for the generation of cryptographic keys and for some classes of scientific experiments. For scientific experiments, it is convenient that a series of random numbers can be replayed for use in several experiments, and pseudo-random numbers are well suited for this purpose. For cryptographic use, however, it is important that the numbers used to generate keys are not just seemingly random; they must be truly unpredictable.

Now you are testing the efficiency of the new encrypt algorithm, so you need a series of real random numbers. In order to do this, your boss has given you two sets of random numbers generated by his powerful generators. However, after a few hours of experiment, you realized that the two sets you received might be the same one...

You are to write a program to verify your conjecture.

## Input

There are several test cases in the input. There are two lines for each test case, representing the set of numbers in two sets: A and B. Each line contains a series of numbers. The first number of the line is n (1<=n<=10^5), representing the number of elements in the set. The following are n numbers, indicating elements in the set. All elements are guaranteed to be within 32bit integers.

Process to the end of file.

## Output

For each test case, output one line indicating your conclusion. That is one of following "A equals to B","A is a proper set of B","B is a proper set of A","A and B are distinct". If the two sets is not of the above conditions, output "-_-".

## Sample Input

3 1 2 3 4 4 5 6 7 4 1 2 3 4 3 1 2 3 4 1 2 3 4 4 4 5 6 7

## Sample Output

A and B are distinct B is a proper set of A -_-

## Source

FZU 2005

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