(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