Given an array of integers A with even length, return true if and only if it is possible to reorder it such that A[2 * i + 1] = 2 * A[2 * i] for every 0 <= i < len(A) / 2.








 
Example 1:
Input: A = [3,1,3,6]
Output: false

Example 2:
Input: A = [2,1,2,6]
Output: false

Example 3:
Input: A = [4,-2,2,-4]
Output: true
Explanation: We can take two groups, [-2,-4] and [2,4] to form [-2,-4,2,4] or [2,4,-2,-4].

Example 4:
Input: A = [1,2,4,16,8,4]
Output: false

 
Constraints:

0 <= A.length <= 3 * 104
A.length is even.
-105 <= A[i] <= 105

```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 = "import collections\n\nclass Solution:\n    def canReorderDoubled(self, A: List[int]) -> bool:\n        ''' Place all values into dicts and start counting from the bottom\n        '''\n        if not A:\n            return True\n        \n        pos = collections.defaultdict(int)\n        neg = collections.defaultdict(int)\n        zero = 0\n        \n        # O(n)\n        for v in A:\n            if v > 0:\n                pos[v] += 1\n            if v < 0:\n                neg[-v] += 1\n            if v == 0:\n                zero += 1\n        \n        b = self.check(pos)\n        if not b:\n            return False\n        b = self.check(neg)\n        if not b:\n            return False\n        \n        return zero % 2 == 0\n        \n        \n    def check(self, d):\n        \n        # worst case O(n), done n times\n        while d:\n            v = min(d) \n            if not 2 * v in d:\n                return False\n            if d[v] > d[2 * v]:\n                return False\n\n            elif d[v] == d[2*v]:\n                del d[v]\n                del d[2*v]\n            else:\n                d[2*v] -= d[v]\n                del d[v]\n        return True\n            \n                \n                    \n            \n        \n"
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'canReorderDoubled'
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: 5840