# Ten-Pin Bowling

In the game of ten-pin bowling, a player rolls a bowling ball down a lane to knock over pins. There are ten pins set at the end of the bowling lane. Each player has 10 frames to roll a bowling ball down a lane and knock over as many pins as possible. The first nine frames are ended after two rolls or when the player knocks down all the pins. The last frame a player will receive an extra roll every time they knock down all ten pins; up to a maximum of three total rolls. 

## The Challenge

In this challenge you will be given a string representing a player's ten frames. It will look something like this: `'X X 9/ 80 X X 90 8/ 7/ 44'` (in Java: `"X X 9/ 80 X X 90 8/ 7/ 44"`), where each frame is space-delimited, `'X'` represents strikes, and `'/'` represents spares. Your goal is take in this string of frames into a function called `bowlingScore` and return the players total score.

## Scoring

The scoring for ten-pin bowling can be difficult to understand, and if you're like most people, easily forgotten if you don't play often. Here is a quick breakdown:

### Frames

In Ten-Pin Bowling there are ten frames per game. Frames are the players turn to bowl, which can be multiple rolls. The first 9 frames you get 2 rolls maximum to try to get all 10 pins down. **On the 10th or last frame a player will receive an extra roll each time they get all ten pins down to a maximum of three total rolls. Also on the last frame bonuses are not awarded for strikes and spares moving forward.**

In this challenge, three frames might be represented like this: `54 72 44`. In this case, the player has had three frames. On their first frame they scored 9 points (5 + 4), on their second frame they scored 9 points (7 + 2) and on their third frame they scored 8 points (4 + 4). This is a very simple example of bowling scoring. It gets more complicated when we introduce strikes and spares.

### Strikes 
Represented in this challenge as `'X'`

A strike is scored when a player knocks all ten pins down in one roll. In the first 9 frames this will conclude the players turn and it will be scored as 10 points plus the points received from the next two rolls. So if a player were to have two frames `X 54`, the total score of those two frames would be 28. The first frame would be worth 19 (10 + 5 + 4) and the second frame would be worth 9 (5 + 4).

A perfect game in bowling is 12 strikes in a row and would be represented like this `'X X X X X X X X X XXX'` (in Java: `"X X X X X X X X X XXX"`). This adds up to a total score of 300.

### Spares
Represented in this challenge as `'/'`

A spare is scored when a player knocks down all ten pins in two rolls. In the first 9 frames this will be scored as 10 points plus the next roll. So if a player were to have two frames `9/ 54`, the total score of the two frames would be 24. The first frame would be worth 15 (10 + 5) and the second frame would be worth 9 (5 + 4).

For a more detailed explanation see Wikipedia: 

http://en.wikipedia.org/wiki/Ten-pin_bowling#Scoring

```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 collections import deque\ndef bowling_score(frames):\n    score = 0\n    next_two_rolls = deque([0, 0], 2)\n    for i, frame in enumerate(reversed(frames.split())):\n        for roll in reversed(frame):\n            if roll == 'X':\n                additional = sum(next_two_rolls) if i else 0\n                score += 10 + additional\n                next_two_rolls.appendleft(10)\n            elif roll == '/':\n                additional = next_two_rolls[0]  if i else 0\n                score += 10 + additional\n                next_two_rolls.appendleft('/')\n            else:\n                if next_two_rolls[0] == '/':\n                    next_two_rolls[0] = 10-int(roll)\n                else:\n                    score += int(roll)\n                next_two_rolls.appendleft(int(roll))\n    return score"
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'bowling_score'
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: 7430