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## rel-mtol – Relation, matrix to list

Write a program that converts between representations of binary relations:
from a matrix representation to a set-of-ordered-pairs representation.

In this exercise, by convention,
we deal with relations over
the finite set of natural numbers from 0 to n-1.

### Input and output

Input will contain several relations *R* represented
as a matrix.
Each representation begins with a line containing a number *n*
followed *n* lines
each containing the matrix representation
with 1 for related and 0 for not related.
The number *n* represents the size of the domain and co-domain.

For each relation given in the input,
output should contain a representation as a set-of-ordered pairs.
The first line should be *n*, the size of the domain and co-domain.
Then there should be a line for each ordered pair in increasing order
followed by a blank line.

#### Example input

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

#### Example output

```
3
0 1
0 2
1 2
4
1 1
2 2
```

### 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: set-member

try also: rel-ltom

try next: rel-member

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