#Description

Everybody has probably heard of the animal heads and legs problem from the earlier years at school. It goes:

```“A farm contains chickens and cows. There are x heads and y legs. How many chickens and cows are there?” ```

Where x <= 1000 and y <=1000

#Task

Assuming there are no other types of animals, work out how many of each animal are there. 

```Return a tuple in Python - (chickens, cows) and an array list - [chickens, cows]/{chickens, cows} in all other languages```

If either the heads & legs is negative, the result of your calculation is negative or the calculation is a float return "No solutions" (no valid cases).

In the form:
```python
(Heads, Legs) = (72, 200)

VALID - (72, 200) =>             (44 , 28) 
                             (Chickens, Cows)

INVALID - (72, 201) => "No solutions"
```

However, ```if 0 heads and 0 legs are given always return [0, 0]``` since zero heads must give zero animals.

There are many different ways to solve this, but they all give the same answer.

You will only be given integers types - however negative values (edge cases) will be given. 

Happy coding!

```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 = 'def animals(heads, legs):\n    if heads == 0 and legs == 0:\n        return (0,0)\n    if legs % 2==1 or heads <= 0 or legs <= 0 or heads*4 < legs or heads*2 > legs:    \n        return "No solutions"\n    else:\n        ch=heads\n        co=0\n        for i in range(1, heads+1):\n            if ch*2+co*4 < legs:\n                ch-=1    \n                co+=1\n            if ch*2+co*4 == legs:\n                break\n        return (ch, co)'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'animals'
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: 5572