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AI Features

Feature #2: TTL Expiry

Understand how to limit message propagation in a network represented by an n-ary tree by implementing a TTL expiry mechanism. Explore how to use depth-first and breadth-first search techniques to identify nodes that receive messages within the TTL limit, helping optimize network communication.

Description

To limit the number of messages flooding onto the network, we will set a TTL(Time-to-live) on each message. The number of hops a message will propagate away from the server will not exceed the value of the message’s TTL. In this problem, the server can be at any node in the tree. We want to determine which nodes will successfully receive a message from the server, given a specific TTL value. The network structure is represented by n-ary trees.

We’ll be provided with an n-ary tree network structure, the server device from where the message needs to propagate, and the TTL value for the message. We need to return the nodes after which the TTL value of the message will expire.

Let’s try to understand this better with an illustration:

We are using small TTL values for demonstration purposes. Actual TTL values are usually high.

Solution

We can solve this problem using a combination of DFS and BFS algorithms. First, we’ll do a DFS on the tree and store every node’s parent and children in an adjacency list. Then, we can perform BFS on ...