In telecomunications we use information coding to detect and prevent errors while sending data. 

A parity bit is a bit added to a string of binary code that indicates whether the number of 1-bits in the string is even or odd. Parity bits are used as the simplest form of error detecting code, and can detect a 1 bit error.

In this case we are using even parity: the parity bit is set to `0` if the number of `1`-bits is even, and is set to `1` if odd.  

We are using them for the transfer of ASCII characters in binary (7-bit strings): the parity is added to the end of the 7-bit string, forming the 8th bit.

In this Kata you are to test for 1-bit errors and return a new string consisting of all of the correct ASCII caracters **in 7 bit format** (removing the parity bit), or `"error"` in place of ASCII characters in which errors were detected.

For more information on parity bits: https://en.wikipedia.org/wiki/Parity_bit


## Examples

Correct 7 bit string with an even parity bit as the 8th bit:
```
"01011001" <-- The "1" on the right is the parity bit.
```

In this example, there are three 1-bits. Three is an odd number, and the parity bit is set to `1`. No errors are detected, so return `"0101100"` (7 bits).

Example of a string of ASCII characters:
```
"01011001 01101110 01100000 01010110 10001111 01100011"
```
This should return:
```
"0101100 error 0110000 0101011 error 0110001"
```

```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 decode(binary):\n    *b, p = binary\n    if '01'[b.count('1') % 2] != p:\n        return 'error'\n    return binary[:-1]\n\ndef parity_bit(binaries):\n    return ' '.join(decode(binary) for binary in binaries.split())"
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'parity_bit'
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: 6196