Node Way HomeWe have a directed graph G =E V Well define a meeting point as any node that is reachablefrom all other nodes in the graph In the graph below there are two meeting points 0 and 1 Implemen

code below.

Algorithm for finding meeting point in a directed graph:

1. Create a set called "reachable" and add the first node in the graph to it.
2. For each node in the graph: a. Check if it is reachable from all nodes in "reachable". b. If it is reachable, add it to "reachable".
3. If the size of "reachable" is equal to the total number of nodes in the graph, return the first node in "reachable" as the meeting point.
4. If there is no meeting point, return "None".

Python code:

def find_meeting_point(graph):
    reachable = set([0])  # add first node to reachable set
    for node in graph:
        if all(nx.has_path(graph, n, node) for n in reachable):
            reachable.add(node)
    if len(reachable) == len(graph.nodes):
        return next(iter(reachable))
    else:
        return None

Explanation:

The code uses the NetworkX library to check if there is a path between two nodes in the graph. The algorithm starts with the first node (node 0 in this case) and adds it to the "reachable" set. Then it checks each node in the graph to see if it is reachable from all nodes in "reachable". If it is, it adds the node to "reachable". If the size of "reachable" is equal to the total number of nodes in the graph, then the first node in "reachable" is returned as the meeting point. If there is no meeting point, then "None" is returned.