In a network of nodes, each node i is directly connected to another node j if and only if graph[i][j] = 1.
Some nodes initial are initially infected by malware.  Whenever two nodes are directly connected and at least one of those two nodes is infected by malware, both nodes will be infected by malware.  This spread of malware will continue until no more nodes can be infected in this manner.
Suppose M(initial) is the final number of nodes infected with malware in the entire network, after the spread of malware stops.
We will remove one node from the initial list.  Return the node that if removed, would minimize M(initial).  If multiple nodes could be removed to minimize M(initial), return such a node with the smallest index.
Note that if a node was removed from the initial list of infected nodes, it may still be infected later as a result of the malware spread.
 


Example 1:
Input: graph = [[1,1,0],[1,1,0],[0,0,1]], initial = [0,1]
Output: 0

Example 2:
Input: graph = [[1,0,0],[0,1,0],[0,0,1]], initial = [0,2]
Output: 0

Example 3:
Input: graph = [[1,1,1],[1,1,1],[1,1,1]], initial = [1,2]
Output: 1

 
Note:

1 < graph.length = graph[0].length <= 300
0 <= graph[i][j] == graph[j][i] <= 1
graph[i][i] == 1
1 <= initial.length <= graph.length
0 <= initial[i] < graph.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 minMalwareSpread(self, graph: List[List[int]], initial: List[int]) -> int:\n        #This is special case where all the nodes are initially infected, see which one connected least\n        if len(initial) == len(graph):\n            m = 0\n            r = initial[0]\n            for i in initial:\n                if m < sum(x == 0 for x in graph[i]):\n                    m = sum(x==0 for x in graph[i])\n                    r = i\n            return r\n            \n        \n        d = collections.defaultdict(list)\n        for init in initial:\n            q = collections.deque()\n            q.append(init)\n            visit = set() #only cache the current initial infect node\n            visit.add(init)\n            while q:\n                virus = q.popleft()\n                for i in range(len(graph[virus])):\n                    if graph[virus][i] == 0 or i in visit:\n                        continue\n                    visit.add(i)\n                    d[i].append(init)\n                    q.append(i)\n        res = [0]*len(graph)\n        for m in d:\n            if len(d[m]) == 1:\n                res[d[m][0]] += 1\n        print(d)\n        if max(res) == 0:\n            return min(initial)\n        return res.index(max(res))\n        '''\n        51 of 52 passed, only [1,1,0][1,1,0][0,0,1] with [0,1 2] not passing\n        d = collections.defaultdict(list)\n        for init in initial:\n            q = collections.deque()\n            q.append(init)\n            visit = set()\n            visit.add(init)\n            while q:\n                virus = q.popleft()\n                for i in range(len(graph[virus])):\n                    if graph[virus][i] == 0 or i in visit:\n                        continue\n                    visit.add(i)\n                    d[i].append(init)\n                    q.append(i)\n        res = [0]*len(graph)\n        for m in d:\n            if len(d[m]) == 1:\n                res[d[m][0]] += 1\n        print(d)\n        if max(res) == 0:\n            return min(initial)\n        return res.index(max(res))\n        '''"
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'minMalwareSpread'
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: 8040