# Task
 A ciphertext alphabet is obtained from the plaintext alphabet by means of rearranging some characters. For example "bacdef...xyz" will be a simple ciphertext alphabet where a and b are rearranged.

 A substitution cipher is a method of encoding where each letter of the plaintext alphabet is replaced with the corresponding (i.e. having the same index) letter of some ciphertext alphabet.

 Given two strings, check whether it is possible to obtain them from each other using some (possibly, different) substitution ciphers.

# Example

 For `string1 = "aacb" and string2 = "aabc"`, the output should be `true`

 Any ciphertext alphabet that starts with acb... would make this transformation possible.

 For `string1 = "aa" and string2 = "bc"`, the output should be `false`

# Input/Output


 - `[input]` string `string1`

    A string consisting of lowercase characters.

    Constraints: `1 ≤ string1.length ≤ 10`.


 - `[input]` string `string2`

    A string consisting of lowercase characters of the same length as string1.

    Constraints: `string2.length = string1.length`.


 - `[output]` a boolean value

```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 is_substitution_cipher(s1, s2): \n  translation = {}\n  back_translation = {}\n  for ch1, ch2 in zip(s1, s2): \n    if (ch1 in translation): \n      if (not translation[ch1] == ch2): return False\n    else: \n      translation[ch1] = ch2\n    if (ch2 in back_translation): \n      if (not back_translation[ch2] == ch1): return False\n    else: \n      back_translation[ch2] = ch1\n  return True'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'is_substitution_cipher'
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: 5954