Given two arrays of integers with equal lengths, return the maximum value of:
|arr1[i] - arr1[j]| + |arr2[i] - arr2[j]| + |i - j|
where the maximum is taken over all 0 <= i, j < arr1.length.
 
Example 1:
Input: arr1 = [1,2,3,4], arr2 = [-1,4,5,6]
Output: 13

Example 2:
Input: arr1 = [1,-2,-5,0,10], arr2 = [0,-2,-1,-7,-4]
Output: 20

 
Constraints:

2 <= arr1.length == arr2.length <= 40000
-10^6 <= arr1[i], arr2[i] <= 10^6

```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 maxAbsValExpr(self, arr1: List[int], arr2: List[int]) -> int:\n        \n        \n        c1 = [-9999999999999,-9999999999999,-1]\n        c2 = [-9999999999999,-9999999999999,-1]\n        c3 = [-9999999999999,-9999999999999,-1]\n        c4 = [-9999999999999,-9999999999999,-1]\n        c5 = [-9999999999999,-9999999999999,-1]\n        c6 = [-9999999999999,-9999999999999,-1]\n        c7 = [-9999999999999,-9999999999999,-1]\n        c8 = [-9999999999999,-9999999999999,-1]\n        \n        \n        lim = len(arr1)\n        \n        for i in range(0,lim):\n            if arr1[i]+arr2[i]+i>c1[0]:\n                c1[0]=arr1[i]+arr2[i]+i\n                c1[2]=i\n                \n            if arr1[i]-arr2[i]+i>c2[0]:\n                c2[0]=arr1[i]-arr2[i]+i\n                c2[2]=i\n                \n            if -arr1[i]-arr2[i]+i>c3[0]:\n                c3[0]=-arr1[i]-arr2[i]+i\n                c3[2]=i\n                \n            if -arr1[i]+arr2[i]+i>c4[0]:\n                c4[0]=-arr1[i]+arr2[i]+i\n                c4[2]=i\n            \n            if arr1[i]+arr2[i]-i>c5[0]:\n                c5[0]=arr1[i]+arr2[i]-i\n                c5[2]=i\n                \n            if arr1[i]-arr2[i]-i>c6[0]:\n                c6[0]=arr1[i]-arr2[i]-i\n                c6[2]=i\n                \n            if -arr1[i]-arr2[i]-i>c7[0]:\n                c7[0]=-arr1[i]-arr2[i]-i\n                c7[2]=i\n                \n            if -arr1[i]+arr2[i]-i>c8[0]:\n                c8[0]=-arr1[i]+arr2[i]-i\n                c8[2]=i\n        ###print(c1,c2,c3,c4,c5,c6,c7,c8)        \n        for i in range(0,lim):\n            if -arr1[i]-arr2[i]-i>c1[1] and i!=c1[2]:\n                c1[1]=-arr1[i]-arr2[i]-i\n                \n            if -arr1[i]+arr2[i]-i>c2[1] and i!=c2[2]:\n                c2[1]=-arr1[i]+arr2[i]-i\n                \n            if arr1[i]+arr2[i]-i>c3[1] and i!=c3[2]:\n                c3[1]=arr1[i]+arr2[i]-i\n                \n            if arr1[i]-arr2[i]-i>c4[1] and i!=c4[2]:\n                c4[1]=arr1[i]-arr2[i]-i\n                \n            \n            if -arr1[i]-arr2[i]+i>c5[1] and i!=c5[2]:\n                c5[1]=-arr1[i]-arr2[i]+i\n                \n            if -arr1[i]+arr2[i]+i>c6[1] and i!=c6[2]:\n                c6[1]=-arr1[i]+arr2[i]+i\n                \n            if arr1[i]+arr2[i]+i>c7[1] and i!=c7[2]:\n                c7[1]=arr1[i]+arr2[i]+i\n                \n            if arr1[i]-arr2[i]+i>c8[1] and i!=c8[2]:\n                c8[1]=arr1[i]-arr2[i]+i\n        ###print(c1,c2,c3,c4,c5,c6,c7,c8)      \n        \n        v1 = 0\n        if -9999999999999 not in c1:\n            v1 = c1[0]+c1[1]\n        v2 = 0\n        if -9999999999999 not in c2:\n            v2 = c2[0]+c2[1]\n        v3 = 0\n        if -9999999999999 not in c3:\n            v3 = c3[0]+c3[1]\n        v4 = 0\n        if -9999999999999 not in c4:\n            v4 = c4[0]+c4[1]\n        v5 = 0\n        if -9999999999999 not in c5:\n            v5 = c5[0]+c5[1]\n        v6 = 0\n        if -9999999999999 not in c6:\n            v6 = c6[0]+c6[1]\n        v7 = 0\n        if -9999999999999 not in c7:\n            v7 = c7[0]+c7[1]\n        v8 = 0\n        if -9999999999999 not in c8:\n            v8 = c8[0]+c8[1]\n            \n        print((v1,v2,v3,v4,v5,v6,v7,v8))\n        return max(v1,v2,v3,v4,v5,v6,v7,v8)\n        \n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'maxAbsValExpr'
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: 8869