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## rel-composition – Relation composition

Write a program that is able to compose binary relations.
Given relation *R* and relation *S*,
it should compute relation *RS*, in other words,
*“R;S”*, *“R before S”*, *“S∘R”* or *“S after R”*.

### Input and output

Input begins with a number *n* indicating the size of domain and codomain.
Followed by *2n* lines with two matrix representations of relations *R* and *S*.
The same repeats again.
For each pair of relations *R* and *S* given in the input,
your program should produce a matrix representation
of the resulting *RS* relation.

#### Example input

```
3
0 1 1
0 0 1
0 0 0
0 0 0
1 0 0
1 1 0
4
1 1 1 1
0 1 0 0
0 0 1 0
1 1 1 1
1 0 0 1
1 1 0 1
1 0 1 1
1 0 0 1
```

#### Example output

```
1 1 0
1 1 0
0 0 0
1 1 1 1
1 1 0 1
1 0 1 1
1 1 1 1
```

### Scoring

- 1/6: works for the above example but produces output in an incorrect format
- 2/6: works for the above example and produces output in the correct format
- 5/6: works for other test cases
- 6/6: works for edge cases

try first: rel-member

try also: rel-properties

try next: gcd

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