What is count-to-infinity problem in distance vector routing protocol? How does it happen? Explain with an example.

The Count-to-Infinity Problem in distance vector routing protocols is a significant issue that can occur when attempting to update and converge routing tables in a network. This problem arises due to the nature of distance vector algorithms, which use a decentralized approach to distribute routing information among network nodes. To fully understand the Count-to-Infinity Problem, let's delve into the basics of distance vector routing, how the problem occurs, and provide an illustrative example.

Distance Vector Routing:

Distance vector routing is a method used by routers to determine the best path for forwarding data packets within a network. Each router maintains a routing table that contains information about the distance (usually measured in hops or some other metric) to reach various destinations in the network. These routing tables are continuously updated through the exchange of routing updates between neighboring routers.

Count-to-Infinity Problem:

The Count-to-Infinity Problem occurs when there is a delay in recognizing a network topology change, leading to incorrect routing decisions and potential routing loops. In this scenario, routers still believe that a particular route is reachable even though it is no longer available, resulting in a _____ _________ ________ ________ _____ _____ ___ _____ _________ ____ __________.
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