# Task
 Your Informatics teacher at school likes coming up with new ways to help you understand the material. When you started studying numeral systems, he introduced his own numeral system, which he's convinced will help clarify things. His numeral system has base 26, and its digits are represented by English capital letters - `A for 0, B for 1, and so on`.

 The teacher assigned you the following numeral system exercise: given a one-digit `number`, you should find all unordered pairs of one-digit numbers whose values add up to the `number`.

# Example

 For `number = 'G'`, the output should be `["A + G", "B + F", "C + E", "D + D"]`

 Translating this into the decimal numeral system we get: number = 6, so it is `["0 + 6", "1 + 5", "2 + 4", "3 + 3"]`.

# Input/Output

 - `[input]` string(char in C#) `number`

   A character representing a correct one-digit number in the new numeral system.

   Constraints: `'A' ≤ number ≤ 'Z'.`

 - `[output]` a string array

   An array of strings in the format "letter1 + letter2", where "letter1" and "letter2" are correct one-digit numbers in the new numeral system. The strings should be sorted by "letter1".

   Note that "letter1 + letter2" and "letter2 + letter1" are equal pairs and we don't consider them to be different.

```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 = 'from string import ascii_uppercase as up\nfrom math import ceil\ndef new_numeral_system(num):\n    n=up.index(num)\n    n1=ceil(n/2)\n    return list(f"{a} + {b}" for a,b in zip(up[:n1+1],up[n1:n+1][::-1]))'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'new_numeral_system'
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: 6254