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
from collections import deque 
class Solution:
    def minMalwareSpread(self, graph: List[List[int]], initial: List[int]) -> int:
        if graph is None or len(graph) ==0 or len(graph[0]) ==0 or len(initial) ==0:
            return None 
    
        n = len(graph)
        m = len(graph[0])
        k = len(initial)
        initial.sort()
        
                        
        result = sys.maxsize 
        idx = None 
        for i in range(k):
            temp_q = initial[:]
            temp_q.pop(i)
            temp_q = deque(temp_q)
            temp_visited = set(temp_q)
            
            self.helper(graph, temp_q, temp_visited)
            if result > len(temp_visited):
                result = len(temp_visited)
                idx = initial[i]
        
        return idx 
    
    def helper(self, graph, temp_q, temp_visited):
        
        n, m = len(graph), len(graph[0])
        
        while temp_q:
            curr = temp_q.popleft()
            for col in range(m):
                if col in temp_visited or graph[curr][col] ==0:
                    continue 
                temp_visited.add(col)
                temp_q.append(col)
        
                    
        
            
            
            
        
        
            
           
          
        
        
        
        

from collections import deque 
class Solution:
    def minMalwareSpread(self, graph: List[List[int]], initial: List[int]) -> int:
        if graph is None or len(graph) ==0 or len(graph[0]) ==0 or len(initial) ==0:
            return None 
    
        n = len(graph)
        m = len(graph[0])
        k = len(initial)
        initial.sort()
        
                        
        result = sys.maxsize 
        idx = None 
        for i in range(k):
            temp_q = initial[:]
            temp_q.pop(i)
            temp_q = deque(temp_q)
            temp_visited = set(temp_q)
            
            self.helper(graph, temp_q, temp_visited)
            if result > len(temp_visited):
                result = len(temp_visited)
                idx = initial[i]
        
        return idx 
    
    def helper(self, graph, temp_q, temp_visited):
        
        n, m = len(graph), len(graph[0])
        
        while temp_q:
            curr = temp_q.popleft()
            for col in range(m):
                if col in temp_visited or graph[curr][col] ==0:
                    continue 
                temp_visited.add(col)
                temp_q.append(col)
        
                    
        
            
            
            
        
        
            
           
          
        
        
        
        
