Given a list of dominoes, dominoes[i] = [a, b] is equivalent to dominoes[j] = [c, d] if and only if either (a==c and b==d), or (a==d and b==c) - that is, one domino can be rotated to be equal to another domino.
Return the number of pairs (i, j) for which 0 <= i < j < dominoes.length, and dominoes[i] is equivalent to dominoes[j].
 
Example 1:
Input: dominoes = [[1,2],[2,1],[3,4],[5,6]]
Output: 1

 
Constraints:

1 <= dominoes.length <= 40000
1 <= dominoes[i][j] <= 9

```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 Solution:\n    def numEquivDominoPairs(self, dominoes: List[List[int]]) -> int:\n#         # Ot(n^2) where n = len(dominoes)\n#         # Os(1)\n#         count, n = 0, len(dominoes)\n#         for i in range(n - 1):\n#             for k in range(i + 1, n):\n#                 count += dominoes[i] == dominoes[k] or dominoes[i] == list(reversed(dominoes[k]))\n                    \n#         return count\n        \n#         # Ot(n) where n = len(dominoes)\n#         # Os(n)\n        \n#         count_dict = {}\n#         total_count = 0\n#         for d1, d2 in dominoes:\n#             if (d1, d2) in count_dict:\n#                 count_dict[(d1, d2)] += 1\n#                 total_count += count_dict[(d1, d2)] - 1\n#             elif (d2, d1) in count_dict:\n#                 count_dict[(d2, d1)] += 1\n#                 total_count += count_dict[(d2, d1)] - 1\n#             else:\n#                 count_dict[(d1, d2)] = 1\n                \n#         return total_count\n\n\n        # Ot(n) where n = len(dominoes)\n        # Os(n)\n        \n        count_dict = {}\n        total_count = 0\n        for d in dominoes:\n            d = tuple(sorted(d))\n            if d in count_dict:\n                total_count += count_dict[tuple(d)]\n                count_dict[d] += 1\n            else:\n                count_dict[d] = 1\n\n        return total_count\n            \n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'numEquivDominoPairs'
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: 5616