Given an array A of integers, for each integer A[i] we may choose any x with -K <= x <= K, and add x to A[i].
After this process, we have some array B.
Return the smallest possible difference between the maximum value of B and the minimum value of B.
 



Example 1:
Input: A = [1], K = 0
Output: 0
Explanation: B = [1]


Example 2:
Input: A = [0,10], K = 2
Output: 6
Explanation: B = [2,8]


Example 3:
Input: A = [1,3,6], K = 3
Output: 0
Explanation: B = [3,3,3] or B = [4,4,4]

 
Note:

1 <= A.length <= 10000
0 <= A[i] <= 10000
0 <= K <= 10000

```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 smallestRangeI(self, A: List[int], K: int) -> int:\n        ks = [K for a in A]\n        ks_left = True\n        last_change = 0\n        while ks_left and max(A) - min(A) > 0 and (max(A) - min(A)) != last_change:\n            last_change = max(A) - min(A)\n            # print(ks, A)\n            ks_left = False\n            average = sum(A) / len(A)\n            for i in range(len(A)):\n                difference = A[i] - average\n                if -ks[i] <= difference <= ks[i]:\n                    A[i] = average\n                    # print(A[i], ks[i], difference)\n                    ks[i] = abs(ks[i] - abs(difference))\n                    # print(A[i], ks[i], difference)\n                elif -ks[i] > difference:\n                    A[i] += ks[i]\n                    ks[i] = 0\n                else:\n                    A[i] -= ks[i]\n                    ks[i] = 0\n                if ks[i] > 0:\n                    ks_left = True\n        print((ks, A))\n        return int(max(A) - min(A))\n        \n        # if K == 0:\n        #     return max(A) - min(A)\n        # max_A = max(A)\n        # max_I = A.index(max_A)\n        # min_A = min(A)\n        # min_I = A.index(min_A)\n        # if -K <= max_A - min_A <= K:\n        #     A[max_I] -= (max_A - min_A) / 2\n        #     A[min_I] += (max_A - min_A) / 2\n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'smallestRangeI'
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: 6779