Given an array nums, you are allowed to choose one element of nums and change it by any value in one move.
Return the minimum difference between the largest and smallest value of nums after perfoming at most 3 moves.
 
Example 1:
Input: nums = [5,3,2,4]
Output: 0
Explanation: Change the array [5,3,2,4] to [2,2,2,2].
The difference between the maximum and minimum is 2-2 = 0.
Example 2:
Input: nums = [1,5,0,10,14]
Output: 1
Explanation: Change the array [1,5,0,10,14] to [1,1,0,1,1]. 
The difference between the maximum and minimum is 1-0 = 1.

Example 3:
Input: nums = [6,6,0,1,1,4,6]
Output: 2

Example 4:
Input: nums = [1,5,6,14,15]
Output: 1

 
Constraints:

1 <= nums.length <= 10^5
-10^9 <= nums[i] <= 10^9

```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 minDifference(self, nums: List[int]) -> int:\n        # O(n) time, O(1) space since mins and maxs are at most 4 elements\n        if len(nums) <= 4:\n            return 0\n        \n        # find the smallest 4 numbers and largest 4 numbers\n        mins, maxs = nums[:4], nums[:4]\n        for num in nums[4:]:\n            mins.append(num)\n            mins.sort()\n            mins.pop()\n            maxs.append(num)\n            maxs.sort(reverse = True)\n            maxs.pop()\n        maxs = maxs[::-1]\n        '''\n\\t\\tmins[i] maxs[j]\n        i j\n        0 0 # change the largest 3 numbers to the 4-th largest, smallest numbers unchanged\n        1 1 # change the smallest number to the 2nd smallest, change the 2 largest to 3rd largest\n        2 2 # change the smallest 2 numbers to 3rd smallest, change the largest to 2nd largest\n        3 3 # change the smallest 3 numbers to 4th smallest,largest number unchanged\n        '''\n        return min(maxs[i] - mins[i] for i in range(4))\n'''\nInput 1: [1,5,0,10,14], all maxs and mins are not overlapped\nmaxs [1, 5, 10, 14]\nmins [0, 1, 5, 10]\ndiff [1, 4, 5, 4]\n\nInput 2: [1,1,2,3,4], maxs and mins are overlapped\nmaxs [1, 2, 3, 4]\nmins [1, 1, 2, 3]\ndiff [0, 1, 1, 1]\n'''    "
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'minDifference'
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: 5730