Write a function called that takes a string of parentheses, and determines if the order of the parentheses is valid. The function should return `true` if the string is valid, and `false` if it's invalid.

## Examples

```
"()"              =>  true
")(()))"          =>  false
"("               =>  false
"(())((()())())"  =>  true
```

## Constraints

`0 <= input.length <= 100`

~~~if-not:javascript,go
Along with opening (`(`) and closing (`)`) parenthesis, input may contain any valid ASCII characters.  Furthermore, the input string may be empty and/or not contain any parentheses at all.  Do **not** treat other forms of brackets as parentheses (e.g. `[]`, `{}`, `<>`).
~~~

```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 = 'class Stack:\n    """\n    This is an implementation of a Stack.\n    The "right" or "top" of this stack the end of the list.\n    """\n\n    def __init__(self):\n        self.items = []\n\n    def push(self, item):\n        self.items.append(item)\n\n    def pop(self):\n        return self.items.pop()\n\n    def peek(self):\n        return self.items[-1]\n\n    def is_empty(self):\n        return self.items == []\n\n    def size(self):\n        return len(self.items)\n\ndef valid_parentheses(symbol_string):\n    """\n    This is a practice problem.\n    It checks to see if parenthesis\'s are balanced\n    :param symbol_string: String\n    :return Bool:\n    """\n\n    stack = Stack()\n    for char in symbol_string:\n        if char == "(":\n            stack.push("(")\n        elif char == ")":\n            if stack.is_empty():\n                return False\n            else:\n                stack.pop()\n\n    if not stack.is_empty():\n        return False\n    else:\n        return True'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'valid_parentheses'
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: 5602