In a N x N grid composed of 1 x 1 squares, each 1 x 1 square consists of a /, \, or blank space.  These characters divide the square into contiguous regions.
(Note that backslash characters are escaped, so a \ is represented as "\\".)
Return the number of regions.
 













Example 1:
Input:
[
  " /",
  "/ "
]
Output: 2
Explanation: The 2x2 grid is as follows:



Example 2:
Input:
[
  " /",
  "  "
]
Output: 1
Explanation: The 2x2 grid is as follows:



Example 3:
Input:
[
  "\\/",
  "/\\"
]
Output: 4
Explanation: (Recall that because \ characters are escaped, "\\/" refers to \/, and "/\\" refers to /\.)
The 2x2 grid is as follows:



Example 4:
Input:
[
  "/\\",
  "\\/"
]
Output: 5
Explanation: (Recall that because \ characters are escaped, "/\\" refers to /\, and "\\/" refers to \/.)
The 2x2 grid is as follows:



Example 5:
Input:
[
  "//",
  "/ "
]
Output: 3
Explanation: The 2x2 grid is as follows:


 
Note:

1 <= grid.length == grid[0].length <= 30
grid[i][j] is either '/', '\', or ' '.

```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 regionsBySlashes(self, grid: List[str]) -> int:\n        N = len(grid)\n        new_grid = [[0]*(2*N) for _ in range(2*N)]\n        count = 0\n        \n        for i in range(N):\n            for j in range(N):\n                if grid[i][j] == '/':\n                    new_grid[2*i][2*j+1] = 1\n                    new_grid[2*i+1][2*j] = 1\n                elif grid[i][j] == '\\\\\\\\':\n                    new_grid[2*i][2*j] = 1\n                    new_grid[2*i+1][2*j+1] = 1\n        \n        def dfs(grid, i, j):\n            # starting with a seed (0 in location i,j), build up an open space\n            if grid[i][j] == 1:\n                return None\n            grid[i][j] = 1 # mark as visited\n            if i < len(grid)-1: # (make sure i+1 exists)\n                dfs(grid, i+1, j) # search down \n            if j < len(grid)-1: \n                dfs(grid, i, j+1)# search right\n            if i > 0:\n                dfs(grid, i-1, j) # search up\n            if j > 0:\n                dfs(grid, i, j-1) #search left\n            # search dl\n            if i < len(grid)-1 and j > 0 and i%2==j%2:\n                dfs(grid, i+1, j-1)\n            # search ur\n            if i > 0 and j < len(grid)-1 and i%2==j%2:\n                dfs(grid, i-1, j+1)\n            # search dr\n            if i < len(grid)-1 and j < len(grid)-1 and i%2!=j%2:\n                dfs(grid, i+1, j+1)\n            # search ul\n            if i > 0 and j > 0 and i%2!=j%2:\n                dfs(grid, i-1, j-1)\n        \n        # search for seeds (new islands)\n        for i in range(2*N):\n            for j in range(2*N):\n                if new_grid[i][j] == 0:\n                    count += 1\n                    dfs(new_grid, i, j) # seed an island\n        \n        return count\n                    \n"
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'regionsBySlashes'
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: 9936