**Background**   
You most probably know, that the *kilo* used by IT-People differs from the
*kilo* used by the rest of the world. Whereas *kilo* in kB is (mostly) intrepreted as 1024 Bytes (especially by operating systems) the non-IT *kilo* denotes the factor 1000 (as in "1 kg is 1000g"). The same goes for the prefixes mega, giga, tera, peta and so on.
To avoid misunderstandings (like your hardware shop selling you a 1E+12 Byte harddisk as 1 TB, whereas  your Windows states that it has only 932 GB, because the shop uses factor 1000 whereas operating systems use factor 1024 by default) the  International Electrotechnical Commission has proposed to use **kibibyte** for 1024 Byte.The according unit symbol would be **KiB**. Other Prefixes would be respectivly:   

```
1 MiB = 1024 KiB   
1 GiB = 1024 MiB   
1 TiB = 1024 GiB     
```

**Task**   
Your task is to write a conversion function between the kB and the KiB-Units. The function receives as parameter a memory size including a unit and converts into the corresponding unit of the other system:


```
memorysizeConversion ( "10 KiB") -> "10.24 kB"   
memorysizeConversion ( "1 kB") -> "0.977 KiB"   
memorysizeConversion ( "10 TB") -> "9.095 TiB"   
memorysizeConversion ( "4.1 GiB") -> "4.402 GB"   
```

**Hints**
- the parameter always contains a (fractioned) number, a whitespace and a valid unit
- units are case sensitive, valid units are **kB MB GB TB KiB MiB GiB TiB**
- result must be rounded to 3 decimals (round half up,no trailing zeros) see examples above

**Resources**
If you want to read more on ...ibi-Units:  
https://en.wikipedia.org/wiki/Kibibyte

```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 = 'DCT_TO_IB = { unit: 1.024**p for unit,p in zip(\'KMGT\',range(1,5)) }\n\ndef memorysize_conversion(s):\n    toB = s[-2]==\'i\'\n    v,u  = s.split()\n    unit = (u[0]!=\'K\' and u[0] or \'k\')+u[-1] if toB else  u[0].upper()+"i"+u[-1]\n    out  = float(v) * DCT_TO_IB[u[0].upper()]**(toB or -1)\n    out  = f\'{ out :.3f}\'.rstrip(\'0\')\n    return f\'{out} {unit}\''
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'memorysize_conversion'
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: 5779