A Magic Square contains the integers 1 to n^(2), arranged in an n by n array such that the columns, rows and both main diagonals add up to the same number.For doubly even positive integers (multiples of 4) the following method can be used to create a magic square.
Fill an array with the numbers 1 to n^(2) in succession. Then, for each 4 by 4 subarray, replace the entries on the blue and red diagonals by n^(2)+1-aij.
So, in the following example, a11 (row 1, column 1) was initially 1 and is replaced by 8^(2)+1-1 = 64


    tab1 { padding-left: 2em; }
    fc1  { font color="blue"}


n=8
642 3 61606 7 57 
9 55541213515016
1747462021434224
4026273736303133
3234352928383925
4123224445191848
4915145253111056
8 58595 4 62631 

The function even_magic() should return a 2D array as follows:-
Example:
n=4: Output: [[16,2,3,13],[5,11,10,8],[9,7,6,12],[4,14,15,1]]

162 3 13
5 11108 
9 7 6 12
4 14151 


Only doubly even numbers will be passed to the function in the tests.

See mathworld.wolfram.com for further details.

```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 even_magic(n):\n    square = []\n    for j in range(0, n):\n        row = []\n        for i in range(0, n):\n            v = i + j * n + 1\n            if i % 4 == j % 4 or -(i + 1) % 4 == j % 4:\n                row.append(n**2 + 1 - v)\n            else:\n                row.append(v)\n        square.append(row)   \n    return square'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'even_magic'
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: 6014