We have two integer sequences A and B of the same non-zero length.
We are allowed to swap elements A[i] and B[i].  Note that both elements are in the same index position in their respective sequences.
At the end of some number of swaps, A and B are both strictly increasing.  (A sequence is strictly increasing if and only if A[0] < A[1] < A[2] < ... < A[A.length - 1].)
Given A and B, return the minimum number of swaps to make both sequences strictly increasing.  It is guaranteed that the given input always makes it possible.
Example:
Input: A = [1,3,5,4], B = [1,2,3,7]
Output: 1
Explanation: 
Swap A[3] and B[3].  Then the sequences are:
A = [1, 3, 5, 7] and B = [1, 2, 3, 4]
which are both strictly increasing.

Note:

A, B are arrays with the same length, and that length will be in the range [1, 1000].
A[i], B[i] are integer values in the range [0, 2000].

```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 minSwap(self, A, B):\n        N = len(A)\n        #keep, swap = [0] * N, [0] * N\n        #keep, swap = [N] * N, [N] * N\n        keep, swap = [_ for _ in range(N)], [_ for _ in range(N)]\n        swap[0] = 1                                      # important!\n        for i in range(1, N):\n            if A[i] > A[i-1] and B[i] > B[i-1]:\n                keep[i] = keep[i-1]                      # keep, keep\n                swap[i] = swap[i-1] + 1                  # swap, swap\n            if A[i] > B[i-1] and B[i] > A[i-1]:\n                swap[i] = min(swap[i], keep[i-1] + 1)    # keep, swap\n                keep[i] = min(keep[i], swap[i-1])        # swap, keep\n        return min(keep[-1], swap[-1])\n    \nclass Solution:\n    def minSwap(self, A, B):\n        N = len(A)\n        keep, swap = [_ for _ in range(N)], [_ for _ in range(N)]\n        swap[0] = 1\n        for i in range(1, N):\n            if A[i] > A[i-1] and B[i] > B[i-1]:\n                keep[i] = keep[i-1]\n                swap[i] = swap[i-1] + 1\n            if A[i] > B[i-1] and B[i] > A[i-1]:\n                if keep[i-1] + 1 < swap[i]: swap[i] = keep[i-1] + 1\n                if swap[i-1] < keep[i]: keep[i] = swap[i-1]\n        return min(keep[-1], swap[-1])'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'minSwap'
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: 6026