Given two strings s and t, determine if they are isomorphic.

Two strings are isomorphic if the characters in s can be replaced to get t.

All occurrences of a character must be replaced with another character while preserving the order of characters. No two characters may map to the same character but a character may map to itself.

Example 1:


Input: s = "egg", t = "add"
Output: true


Example 2:


Input: s = "foo", t = "bar"
Output: false

Example 3:


Input: s = "paper", t = "title"
Output: true

Note:
You may assume both s and t have the same length.

```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 = 'class Solution:\n     def isIsomorphic(self, s, t):\n         """\n         :type s: str\n         :type t: str\n         :rtype: bool\n         """\n         """\n    #    my second solution...modified based on first solution...\n         l = len(s)\n         \n         sdic = {}\n         snum = []\n         i = 0\n         j = 1\n         while i < l:\n             if s[i] not in sdic:\n                 sdic[s[i]] = j\n                 snum.append(j)\n                 j += 1\n             else:\n                 snum.append(sdic[s[i]])\n             i += 1\n             \n         tdic = {}\n         tnum = []\n         i = 0\n         j = 1\n         while i < l:\n             if t[i] not in tdic:\n                 if j != snum[i]:\n                     return False\n                 tdic[t[i]] = j\n                 tnum.append(j)\n                 j += 1\n             else:\n                 if tdic[t[i]] != snum[i]:\n                     return False\n                 tnum.append(tdic[t[i]])\n             i += 1\n         \n         return True\n         \n         \n         """\n    #    my first solution...\n         sdic = {}\n         snum = []\n         i = 0\n         j = 1\n         while i < len(s):\n             if s[i] not in sdic:\n                 sdic[s[i]] = j\n                 snum.append(j)\n                 j += 1\n             else:\n                 snum.append(sdic[s[i]])\n             i += 1\n             \n         tdic = {}\n         tnum = []\n         i = 0\n         j = 1\n         while i < len(t):\n             if t[i] not in tdic:\n                 tdic[t[i]] = j\n                 tnum.append(j)\n                 j += 1\n             else:\n                 tnum.append(tdic[t[i]])\n             i += 1\n             \n         if snum == tnum:\n             return True\n         else:\n             return False\n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'isIsomorphic'
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: 6236