**This Kata is intended as a small challenge for my students**

All Star Code Challenge #23

There is a certain multiplayer game where players are assessed at the end of the game for merit. Players are ranked according to an internal scoring system that players don't see.

You've discovered the formula for the scoring system!

Create a function called `scoring()` that takes an array of Player objects and returns an array of player names, in order of descending score (highest score is index 0, 2nd highest is index 1, etc.).

Each player's score is calculated as follows:

1. Each normal kill is worth 100 points
2. Each assist is worth 50 points
3. Each point of damage done is worth .5 points
4. Each point of healing done is worth 1 point
5. The longest kill streak is worth 2^N, where N is the number of kills of the streak
6. Environmental kills are worth 500 points (These are counted separately from normal kills)

For each of the above statistic, a Player object contains a respective "key:value" pairing. All values except the 'name' are integers.

Note:  
Assume the input array will ALWAYS have a properly constructed Player object (no missing keys or values)  
Names will not contain unusual characters nor repeat (names are unique)  
Players with the same score should be sorted by the order they appear in the array  
For simplicity, for a kill streak of 0 the kill streak calculation will yield 1 (or 2^(0)) points

```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 scoring(array):\n    score_table = {"norm_kill": 100, "assist": 50, "damage": 0.5, "healing": 1, "env_kill": 500}\n    scores = [(-sum(p[stat]*v for stat, v in score_table.items()) - 2**p["streak"], i, p["name"]) for i, p in enumerate(array)]\n    return [name for s, i, name in sorted(scores)]'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'scoring'
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: 5864