# Task
 You are given an array of integers `a` and a non-negative number of operations `k`, applied to the array. Each operation consists of two parts:
```
find the maximum element value of the array;
replace each element a[i] with (maximum element value - a[i]).```
How will the array look like after `k` such operations?

# Example

 For `a = [-4, 0, -1, 0]` and `k = 2`, the output should be `[0, 4, 3, 4]`.
 ```
 initial array: [-4, 0, -1, 0]
 1st operation: 
 find the maximum value --> 0
 replace each element:  --> [(0 - -4), (0 - 0), (0 - -1), (0 - 0)]
                        --> [4, 0, 1, 0]
 2nd operation: 
 find the maximum value --> 4
 replace each element:  --> [(4 - 4), (4 - 0), (4 - 1), (4 - 0)]
                        --> [0, 4, 3, 4]
 
 ```
 For `a = [0, -1, 0, 0, -1, -1, -1, -1, 1, -1]` and `k = 1`, 
 
 the output should be `[1, 2, 1, 1, 2, 2, 2, 2, 0, 2]`.
 ```
 initial array: [0, -1, 0, 0, -1, -1, -1, -1, 1, -1]
 1st operation: 
 find the maximum value --> 1
 replace each element:  -->
 [(1-0),(1- -1),(1-0),(1-0),(1- -1),(1- -1),(1- -1),(1- -1),(1-1),(1- -1)]
--> [1, 2, 1, 1, 2, 2, 2, 2, 0, 2]
 ```

# Input/Output


 - `[input]` integer array a

    The initial array.

    Constraints: 

    `1 <= a.length <= 100`
    
    `-100 <= a[i] <= 100`


 - `[input]` integer `k`

    non-negative number of operations.

    Constraints: `0 <= k <= 100000`


 - [output] an integer array

    The array after `k` operations.

```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 transform(a):\n    m = max(a)\n    return [m - element for element in a]\n\ndef array_operations(a, k):\n  # After the first iteration, the the array alternates between two patterns\n  return transform(a) if k % 2 == 1 else transform(transform(a))\n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'array_operations'
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: 5598