# Task
 You are the manager of the famous rescue team: The Knights. Your task is to assign your knights to a rescue missions on an infinite 2D-plane.

 Your knights can move only by `n-knight` jumps. 
 
 For example, if a knight has n = 2, they can only move exactly as a knight on a chess board. 
 
 If n = 3, they can move from (0, 0) to one of the following 8 points:

 `(3, 1) (3, -1), ( -3, 1), (-3, -1), (1, 3), (1, -3), (-1, 3) or (-1, -3).`

 You are given an array containing the `n`s of all of your knights `n-knight` jumps, and the coordinates (`x`, `y`) of a civilian who need your squad's help.

 Your head quarter is located at (0, 0). Your must determine if `at least one` of your knight can reach that point `(x, y)`.

# Input/Output


 - `[input]` integer array `N`

  The ways your knights move. 
  
  `1 <= N.length <=20`


 - `[input]` integer `x`

  The x-coordinate of the civilian


 - `[input]` integer `y`

  The y-coordinate of the civilian


 - `[output]` a boolean value

 `true` if one of your knights can reach point (x, y), `false` otherwise.

```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 knight_rescue(N,x,y):\n    if x%2 == 0 and y%2==0:\n        return True if any([i%2!=0 for i in N]) else (True if all([i%2==0 for i in N]) else False)\n    elif x%2 != 0 and y%2!=0:\n        return True if all([i%2!=0 for i in N]) else (True if any([i%2==0 for i in N]) else False)\n    return True if any([i%2==0 for i in N]) else False'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'knight_rescue'
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: 5712