# Let's play Psychic 

A box contains green, red, and blue balls. The total number of balls is given by `n` (`0 < n < 50`).

Each ball has a mass that depends on the ball color. Green balls weigh `5kg`, red balls weigh `4kg`, and blue balls weigh `3kg`.

Given the total number of balls in the box, `n`, and a total mass, `m`, your task is to craft a program that will determine the quantities of each colored ball. Return a list of these quantities as the answer.

Don't forget that some combinations of `n` and `m` may have more than one possibility!

# Examples

## Python
```python
>>> Guess_it(3, 12)
[[0,3,0], [1,1,1]]
```

## Elixir

*Note: Order of the returned elements is unimportant in the Elixir version.*

# Assumptions

1. You can assume that all inputs are of the correct type
2. You can assume that the range of `n` will be `[1, 50]`
3. Each element of the returned list should return the quantities in the order of `g`, `r`, `b`. 

## Python
```python
[[green, red, blue]]
```

## Elixir

```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 Guess_it(n,m):\n  #May the force be with you.\n    if n == 0:\n        return [[]]\n    arrayStorage = {\n        0: [],\n        1: [],\n        2: [],\n        3: [[0, 0, 1]],\n        4: [[0, 1, 0]],\n        5: [[1, 0, 0]]\n    }\n    if m in arrayStorage:\n        return arrayStorage[m]\n    for i in range(6, m + 1):\n        # Case 1: comparing against 3\n        arrayStorage[i] = []\n        arraysTemp = arrayStorage[i - 3]\n        for array in arraysTemp:\n            if sum(array) < n:\n                elemToAdd = [array[0], array[1], array[2] + 1]\n                if elemToAdd not in arrayStorage[i]:\n                    arrayStorage[i].append(elemToAdd)\n\n        # Case 2: comparing against 4\n        arraysTemp = arrayStorage[i - 4]\n        for array in arraysTemp:\n            if sum(array) < n :\n                elemToAdd = [array[0], array[1] + 1, array[2]]\n                if elemToAdd not in arrayStorage[i]:\n                    arrayStorage[i].append(elemToAdd)\n\n        # Case 3 against 5\n        arraysTemp = arrayStorage[i - 5]\n        for array in arraysTemp:\n            if sum(array) < n:\n                elemToAdd = [array[0] + 1, array[1], array[2]]\n                if elemToAdd not in arrayStorage[i]:\n                    arrayStorage[i].append(elemToAdd)\n\n    resultArray = []\n    for array in arrayStorage[m]:\n        if sum(array) == n:\n            resultArray.append(array)\n    return sorted(resultArray, key=lambda x: x[0])'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'Guess_it'
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: 9026