Given two strings str1 and str2, return the shortest string that has both str1 and str2 as subsequences.  If multiple answers exist, you may return any of them.
(A string S is a subsequence of string T if deleting some number of characters from T (possibly 0, and the characters are chosen anywhere from T) results in the string S.)
 
Example 1:
Input: str1 = "abac", str2 = "cab"
Output: "cabac"
Explanation: 
str1 = "abac" is a subsequence of "cabac" because we can delete the first "c".
str2 = "cab" is a subsequence of "cabac" because we can delete the last "ac".
The answer provided is the shortest such string that satisfies these properties.

 
Note:

1 <= str1.length, str2.length <= 1000
str1 and str2 consist of lowercase English letters.

```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 shortestCommonSupersequence(self, str1: str, str2: str) -> str:\n        # Step 1. find a longest common subsequence.\n        from functools import lru_cache\n        @lru_cache(maxsize=None)\n        def helper(i, j): # longest common subseq of str1[:i+1] and str2[:j+1]\n            if i < 0 or j < 0:\n                return ''\n            if str1[i]==str2[j]:\n                return helper(i-1, j-1) + str1[i]\n            return max(helper(i-1, j), helper(i, j-1), key=len)\n\n        subseq = helper(len(str1)-1, len(str2)-1)\n        \n        # Step 2. make a supersequences from the longest common subsequence.\n        ans, i, j = '', 0, 0\n        for c in subseq:\n            while str1[i] != c:\n                ans += str1[i]; i += 1\n            while str2[j] != c:\n                ans += str2[j]; j += 1\n            ans += c; i += 1; j += 1\n        return ans + str1[i:] + str2[j:]                \n        \n    def shortestCommonSupersequence_dp(self, str1: str, str2: str) -> str:\n        if not str1: return str2\n        if not str2: return str1\n        l1, l2 = len(str1), len(str2)\n        # Step 1. find a longest common subsequence.\n        dp = [''] * (l1+1)\n        for j in range(l2):\n            new_dp = dp[:]\n            for i in range(l1):\n                if str1[i] == str2[j]:\n                    new_dp[i+1] = dp[i] + str1[i]\n                elif len(dp[i+1]) < len(new_dp[i]):\n                    new_dp[i+1] = new_dp[i]\n            dp = new_dp\n        # Step 2. make a supersequences from the longest common subsequence.\n        ans, i, j = '', 0, 0\n        for c in dp[-1]:\n            while str1[i] != c:\n                ans += str1[i]; i += 1\n            while str2[j] != c:\n                ans += str2[j]; j += 1\n            ans += c; i += 1; j += 1\n        return ans + str1[i:] + str2[j:]"
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'shortestCommonSupersequence'
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: 10766