Given s1, s2, s3, find whether s3 is formed by the interleaving of s1 and s2.

Example 1:


Input: s1 = "aabcc", s2 = "dbbca", s3 = "aadbbcbcac"
Output: true


Example 2:


Input: s1 = "aabcc", s2 = "dbbca", s3 = "aadbbbaccc"
Output: false

```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 \n     def qute_print(self, A):\n         for row in A:\n             for elem in row:\n                 print('{:2}'.format(elem), end=' ')\n             print()\n \n     def isInterleave(self, A, B, C):\n         n, m = len(A), len(B)\n \n         if len(C) != n + m:\n             return False\n \n         dp = [[False] * (m + 1) for _ in range(n + 1)]\n         dp[0][0] = True\n \n         for i in range(1, n + 1):\n             dp[i][0] = bool(dp[i - 1][0] * (A[i - 1] == C[i - 1]))\n \n         for j in range(1, m + 1):\n             dp[0][j] = bool(dp[0][j - 1] * (B[j - 1] == C[j - 1]))\n \n \n         for i in range(1, n + 1):\n             for j in range(1, m + 1):\n                 if A[i - 1] == C[i + j - 1]:\n                     dp[i][j] = dp[i - 1][j]\n                 if not dp[i][j] and B[j - 1] == C[i + j - 1]:\n                     dp[i][j] = dp[i][j - 1]\n \n \n                 # if A[i-1] == C[i+j-1] and B[j - 1] != C[i + j - 1]:\n                 #     dp[i][j] = dp[i - 1][j]\n                 # elif A[i - 1] != C[i + j - 1] and B[j - 1] == C[i + j - 1]:\n                 #     dp[i][j] = dp[i][j - 1]\n                 # elif A[i - 1] == C[i + j - 1] and B[j - 1] == C[i + j - 1]:\n                 #     dp[i][j] = dp[i - 1][j] or dp[i][j - 1]\n \n         return dp[-1][-1]\n"
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'isInterleave'
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: 6220