What adds up
===========

Given three arrays of integers your task is to create an algorithm that finds the numbers in the first two arrays whose sum is equal to any number in the third. The return value should be an array containing the values from the argument arrays that adds up. The sort order of the resulting array is not important. If no combination of numbers adds up return a empty array.

### Example
A small example: Given the three input arrays `a1 = [1, 2]; a2 = [4,3]; a3 = [6,5,8]`, we need to find the number pairs from `a1` and `a2` that sum up to a number in `a3` and return those three numbers in an array. In this example, the result from the function would be `[[1, 4, 5] , [2, 4, 6], [2, 3, 5]]`.
```
Given three arrays
a1      a2      a3
 1       4       6          (a1 a2 a3)    (a1 a2 a3)  (a1 a2 a3)
 2       3       5      =>  [[1, 4, 5] ,  [2, 4, 6],  [2, 3, 5]]
                 8
                 
each value in the result array contains one part from each of the arguments.
```

### Testing
A function `compare_array` is given. This function takes two arrays and compares them invariant of sort order.

```python
test.expect(compare_arrays(addsup([1,2], [3,1], [5,4]), [[1,3,4], [2,3,5]]))
```

### Greater goal
For extra honor try and make it as effective as possible. Discuss whats the most effective way of doing this. The fastest way i can do this is in *O(n^2)*. Can you do it quicker?

```python

USER_FILENAME = "<user_code>"
import sys, json, builtins
import math, heapq, bisect, itertools, functools, collections, statistics, fractions, decimal, operator, array, random, re, string, os, pathlib
try:
    import resource as _res
except Exception:
    _res = None
from collections import Counter, defaultdict, deque, OrderedDict
from functools import lru_cache, reduce
from itertools import accumulate, permutations, combinations, product
from math import gcd, ceil, floor, sqrt
from decimal import Decimal
try:
    from typing import *
except Exception:
    pass
try:
    sys.setrecursionlimit(1_000_000)
except Exception:
    pass
try:
    import site as _site
    try:
        _sys_sites = _site.getsitepackages() if hasattr(_site, "getsitepackages") else []
        for _p in _sys_sites:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
    try:
        _usp = _site.getusersitepackages()
        if isinstance(_usp, str):
            _usp = [_usp]
        for _p in _usp:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
except Exception:
    pass

def _disabled_input(*args, **kwargs):
    raise RuntimeError("input() is disabled in callable mode")
builtins.input = _disabled_input

ns = {"__name__": "__judge__"}  # prevent if __name__ == "__main__" blocks
for _k, _v in list(globals().items()):
    if not _k.startswith("_"):
        ns[_k] = _v
_CODE = 'from itertools import product\n\ndef addsup(a1, a2, a3):\n    goal = set(a3).__contains__\n    return [[x, y, x+y] for x,y in product(a1, a2) if goal(x+y)]'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'addsup'
if _fn_name:
    if "Solution" in ns:
        try:
            _obj = ns["Solution"]()
            if hasattr(_obj, _fn_name):
                _target = getattr(_obj, _fn_name)
        except Exception:
            _target = None
    if _target is None and _fn_name in ns and callable(ns[_fn_name]):
        _target = ns[_fn_name]
# Fallback: if there's exactly one user-defined function, use it
if _target is None:
    _cands = [v for k, v in ns.items() if callable(v) and getattr(v, "__module__", "") in ("__judge__", "__main__")]
    _user_funcs = [c for c in _cands if getattr(c, "__name__", "").startswith("_") is False]
    if len(_user_funcs) == 1:
        _target = _user_funcs[0]
if _target is None:
    raise RuntimeError(f"Could not resolve callable '{_fn_name}'")

_raw = sys.stdin.read().strip()
if _raw:
    _parsed = json.loads(_raw)
    if isinstance(_parsed, dict):
        _kwargs = _parsed.get("kwargs", {})
        _args = _parsed.get("args", [])
    else:
        _args, _kwargs = _parsed, {}
else:
    _args, _kwargs = [], {}
if not isinstance(_args, (list, tuple)):
    _args = [_args]
_res = _target(*_args, **_kwargs)
try:
    sys.stdout.write(repr(_res) + "\n")
except Exception:
    pass

```

Measured memory_bytes: 5818