`This kata is the first of the ADFGX Ciphers, the harder version can be found `here.

The ADFGX Cipher is a pretty well-known Cryptographic tool, and is essentially a modified Polybius Square.

Rather than having numbers as coordinates on the table, it has the letters:

 `A, D, F, G, X`

Also, because this is the first step, and to help simplify things, you won't have to worry about a key, or the corresponding columnar transposition. In this kata ;)

All you have to do is encrypt and decrypt a string into `ADFGX` format.

`adfgx_encrypt() and adfgx_decrypt()` will be passed a string, `plaintext` and `ciphertext` respectively, and an adfgx`square`, for which will guide the operations. 

Now for some examples to clear confusion:

```python
adfgx_encrypt("helloworld", "bchigklnmoqprstuvwxyzadef")

    A D F G X
   
A   b c h i g
D   k l n m o     
F   q p r s t  -> square (PLEASE NOTE, j SHOULD BE TREATED AS i)  
G   u v w x y  
X   z a d e f

"helloworld"   -> plaintext

EVALUATES TO:

      F  
          -> "AF"
A     h
--------------
          G 
               -> "XG"  
X         e 

AND SO FORTH...

#Results in:

adfgx_encrypt("helloworld", "bchigklnmoqprstuvwxyzadef") 
==
"AFXGDDDDDXGFDXFFDDXF"
```
Now decryption:
```python
adfgx_decrypt("FGXGADGDXGFXAXXGFGFGAADGXG", "aczlmuqngoipvstkrwfxhdbey) 

    A D F G X

A   a c z l m
D   u q n g o     
F   i p v s t  -> square (PLEASE NOTE, j SHOULD BE TREATED AS i)  
G   k r w f x  
X   h d b e y

"FGXGADGDXGFXAXXGFGFGAADGXG"   -> ciphertext

"FG" == "s"
"XG" == "e"

AND SO ON:

adfgx_decrypt("FGXGADGDXGFXAXXGFGFGAADGXG", "aczlmuqngoipvstkrwfxhdbey) 
==
"secretmessage"
```
PLEASE NOTE: ALL INPUT WILL BE VALID, NO NEED TO ERROR CHECK :D

What are you waiting for?!
Go create `adfgx_encrypt() and adfgx_decrypt()`!

Good Luck!

```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 adfgx_encrypt(a, b):\n    d = {x: (i // 5, i % 5) for i, x in enumerate(b)}\n    if "i" in d:\n        d["j"] = d["i"]\n    else:\n        d["i"] = d["j"]\n    return "".join("ADFGX"[y] + "ADFGX"[z] for x in a for y, z in [d[x]])\n    \ndef adfgx_decrypt(a, b):\n    it = iter(b)\n    d = {x + y: next(it) for x in "ADFGX" for y in "ADFGX"}\n    return "".join(d[a[i:i+2]] for i in range(0, len(a), 2))'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'adfgx_encrypt'
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: 8778