16 minutes ago

Anil • 0

Hyderabad

Question: Minimum Network Lag (Data Centers & Servers)

Problem Statement: An AWS client has brought servers and databases from data centers in different parts of the world for their application. For simplicity, let's assume all the servers and data centers are located on a 1-dimensional line.

You have been given the task of optimizing the network connection. Each data center must be connected to a server. The positions of n data centers and n servers are given in the form of arrays. Any particular data center, center[i], can deliver to any particular server destination, destination[j]. The lag is defined as the distance between a data center at location x and a server destination at location y is |x - y|, i.e., the absolute difference between x and y.

Determine the minimum lag to establish the entire network.

Example: n = 3 center = [1, 2, 2]

destination = [5, 2, 4]

The most efficient deliveries are:

• The center at location 1 makes the first connection to the server at location 2.
• The center at location 2 makes the second connection to the server at location 4.
• The center at location 2 makes the third connection to the server at location 5.

• The minimum total lag is = abs(1 - 2) + abs(2 - 4) + abs(2 - 5) = 1 + 2 + 3 = 6.