Question: The Dijkstras algorithm presented during lecture determined the length of the shortest path from a source. How can the algorithm be modified to allow to

  1. The Dijkstras algorithm presented during lecture determined the length of the shortest path from a source. How can the algorithm be modified to allow to recover the shortest paths? Use the example presented in the lecture to check and illustrate the solution!

  1. In the knapsack problem, we assumed that we had objects available, numbered 1 to . Suppose that we have types of objects available, with an adequate supply of each type. Formally, this replaces the old constraint 0 1 by the looser constraint 0. Does the greedy algorithm still work?

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