1 Why Not Solve The Knapsack Problem In The Same Way As The Matrix Chain And Optimum 2538357

1. Why not solve the knapsack problem in the same way as the matrix-chain and optimum binary search tree problems: by minimizing, for k from I to M, the sum of the best value achievable for a knapsack of size k and the best value achievable for a knapsack of size M-k?

2. Extend the program for the shortest-paths problem to include a procedure paths that fills an array path with the shortest path from i to j. This procedure should take time proportional to the length of the path each time it is called, using an auxiliary data structure built up by a modified version of the program given in Chapter 32.

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