You are given an integer array nums. The value of this array is defined as the sum of |nums[i]-nums[i+1]| for all 0 <= i < nums.length-1.
You are allowed to select any subarray of the given array and reverse it. You can perform this operation only once.
Find maximum possible value of the final array.
 
Example 1:
Input: nums = [2,3,1,5,4]
Output: 10
Explanation: By reversing the subarray [3,1,5] the array becomes [2,5,1,3,4] whose value is 10.

Example 2:
Input: nums = [2,4,9,24,2,1,10]
Output: 68

 
Constraints:

1 <= nums.length <= 3*10^4
-10^5 <= nums[i] <= 10^5

```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 maxValueAfterReverse(self, nums: List[int]) -> int:\n    # TC: O(N), SC: O(1), one pass\n    # 1. reverse A[0] -- A[i], improve abs(A[0] - A[i+1]) - abs(A[i] - A[i+1])\n    # 2. reverse A[i+1] -- A[n-1], improve abs(A[n-1] - A[i]) - abs(A[i] - A[i+1])\n    # 3. reverse A[i+1] -- A[j], improve abs(A[i] - A[j]) + abs(A[i+1] - A[j+1]) - abs(A[i] - A[i+1]) - abs(A[j]-A[j+1])\n    #   let A[i], A[i+1], A[j], A[j+1] be u, v, x, y and say u = max(u, v, x, y) will always be +u after disclose abs(),\n    #   and y = min(u, v, x, y) will always be -y after disclose abs(), so they wil cancel out, and the improve will be\n    #   2v - 2x if v >= x or 2x - 2v otherwise, e.g., (max(min(A[i], A[i+1])) - min(max(A[j], A[j+1]))) * 2\n    ans, imp1, min2, max2 = 0, 0, float('inf'), -float('inf')\n    for x, y in zip(nums[:-1], nums[1:]):\n      ans += abs(x - y)\n      imp1 = max(imp1, abs(nums[0] - y) - abs(x - y), abs(nums[-1] - x) - abs(x - y))\n      min2, max2 = min(min2, max(x, y)), max(max2, min(x, y))\n    return ans + max(imp1, (max2 - min2) * 2)"
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'maxValueAfterReverse'
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: 6200