(This problem is the same as Minimize Malware Spread, with the differences bolded.)
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, completely removing it and any connections from this node to any other node.  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.
 



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


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


Example 3:
Input: graph = [[1,1,0,0],[1,1,1,0],[0,1,1,1],[0,0,1,1]], initial = [0,1]
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 UF:\n    def __init__(self, n):\n        self.arr = list(range(n + 1))\n        self.rank = [1] * (n + 1)\n    \n    def root(self, x):\n        curr = x\n        \n        while curr != self.arr[curr]:\n            curr = self.arr[curr]\n        return curr\n    \n    def union(self, x, y):\n        root_x = self.root(x)\n        root_y = self.root(y)\n        \n        rank_x = self.rank[root_x]\n        rank_y = self.rank[root_y]\n        \n        if rank_x >= rank_y:\n            self.arr[root_y] = root_x\n            self.rank[root_x] += rank_y\n        else:\n            self.arr[root_x] = root_y\n            self.rank[root_y] += rank_x\n            \nclass Solution:\n    \n    def dfs(self, root, seen, uf, intersection):\n        \n        for i, v in enumerate(self.graph[root]):\n            if v == 0:\n                continue\n            \n            if i in self.init_set:\n                if root not in intersection:\n                    intersection[root] = []\n                intersection[root].append(i)\n                continue\n                \n            uf.union(root, i)\n            if i in seen:\n                continue\n            seen.add(i)\n            self.dfs(i, seen, uf, intersection)\n        \n    \n    def minMalwareSpread(self, graph: List[List[int]], initial: List[int]) -> int:\n        self.graph = graph\n        self.init_set = set(initial)\n        initial.sort()\n        \n        uf = UF(len(graph[0]))\n        seen = set()\n        intersection = {}\n        for node in range(len(graph[0])):\n            if node in self.init_set:\n                continue\n            \n            self.dfs(node, seen, uf, intersection)\n        \n        islands = {}\n        for node in range(len(graph[0])):\n            root = uf.root(node)\n            if root not in islands:\n                islands[root] = set()\n            \n            if node in intersection:\n                for elt in intersection[node]:\n                    islands[root].add(elt)\n        #print(islands)\n        islandCounts = {}\n        for node in range(len(graph[0])):\n            root = uf.root(node)\n            if len(islands[root]) == 1:\n                for key in islands[root]:\n                    if key not in islandCounts:\n                        islandCounts[key] = 1\n                    else:\n                        islandCounts[key] += 1\n        #print(islandCounts)\n        if len(islandCounts) == 0:\n            return initial[0]\n        res = sorted(islandCounts, key = lambda x : (-islandCounts[x], x))\n        return res[0]\n            \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: 8868