Answer:
Exponential.
Explanation:
The router is a network device that route packets to its destination through a path on its routing table. The routing table contains the path to the next hop count of the destination network. A path or route could be learnt statically or dynamically.
Static routes are learnt based on direct connection to other router or a hard coded path configuration. A dynamic route is learnt through a routing protocol. RIP, EIGRP, OSPF, IS-IS are examples of routing protocols.
The OSPF or open shortest path first is a protocol that uses algorithm, load cost and other metrics to determine paths for packets. The exponential algorithm is used by the OSPF to determine the shortest and noise-free path to a destination.