Which algorithm would you design to carry out

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Reference no: EM133628426

Question 1:

You want to take a walk from your home and end up back at your home in at most 1 hour. You have k points designated as possible turn-around points for your walk. You are not allowed to turn around at any other point. You are walking on a road network, i..e, you have road intersections as vertices and two vertices are connected via a directed edge if there is a walkable road between them; the weight of the directed edge (u, v) is the time it takes you to get from u to v. Which algorithm would you design to carry out the task most efficiently? The more efficient your solution, the better your mark.

Question 2:

Give a bijection between well-formed (or valid) bracket sequences and full binary trees (see definition in class) so that you can count the number of such trees. Prove that it is a bijection.

Reference no: EM133628426

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