Question: How would you modify the dynamic programming algorithm for the coincollecting problem if some cells on the board are inaccessible for the robot? Apply your

How would you modify the dynamic programming algorithm for the coincollecting problem if some cells on the board are inaccessible for the robot? Apply your algorithm to the board below, where the inaccessible cells are shown by Xs. How many optimal paths are there for this board? 1 2 3 4 5 1 2 3 4 5 6

6. Rod-cutting problem Design a dynamic programming algorithm for the following problem. Find the maximum total sale price that can be obtained by cutting a rod of n units long into integer-length pieces if the sale price of a piece i units long is pi for i = 1, 2, . . . , n. What are the time and space efficiencies of your algorithm?

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