3. [20 pts] Hyperlink Analysis. a. Consider the following Web pages and their linkage structure: Page A has links to pages B and C Page B has a link to Page C Page C has a link to Page A Run the PageRank algorithm on this subgraph of pages. Assume that a = 0.15. Simulate the algorithm for three iterations and show PageRank scores twice for each iteration, both before and after normalization b. Consider the following Web pages and their linkage structure: Page A has links to pages C, D, and E Page B has a link to Page D and E Run the HITS (Hubs and Authorities) algorithm on this subgraph of pages. Simulate the algorithm for three iterations and show the hub and authority scores (represented as two vectors over A, B, C, D, E) twice for each iteration, both before and after normalization. 3. [20 pts] Hyperlink Analysis. a. Consider the following Web pages and their linkage structure: Page A has links to pages B and C Page B has a link to Page C Page C has a link to Page A Run the PageRank algorithm on this subgraph of pages. Assume that a = 0.15. Simulate the algorithm for three iterations and show PageRank scores twice for each iteration, both before and after normalization b. Consider the following Web pages and their linkage structure: Page A has links to pages C, D, and E Page B has a link to Page D and E Run the HITS (Hubs and Authorities) algorithm on this subgraph of pages. Simulate the algorithm for three iterations and show the hub and authority scores (represented as two vectors over A, B, C, D, E) twice for each iteration, both before and after normalization