5. (25 points) Answer the questions using the following graph. (a) List the node sequences of DFS and BFS starting from F. (Follow the order of the node label whenever a choice is needed.) (b) Draw the sequence of edges (represented by edge weight) added to the minimal-cost spanning tree by the Kruskal's algorithm. (c) Do the same thing as (b) using Prim's algorithm. (d) Do the same thing as (b) using Sollin's algorithm. (e) Find the shortest paths from F to all other vertices using Dijkstra's algorithm