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Please zoom in if image is not visible Select all the statements below which are

ID: 3866422 • Letter: P

Question

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Select all the statements below which are TRUE: To show that a greedy algorithm always yields an optimal solution, we need to prove (i) the optimal substructure property, and (ii) the greedy-choice property. Dijkstra's algorithm can be used to compute single-source shortest paths when all edges have nonnegative weights. We are given two sequences: X with length 7 and Y with length 4. There are cases when the length of a Longest Common Subsequence (LCS) of X and Y is 5. Let G be a directed graph. In the adjacency-list representation of G, the sum of the lengths of adjacency lists is 2|E|. Let v be a vertex in the graph G. If v.d = infinity after we run Breadth First Search algorithm BFS(G.s), then it means that v is not reachable from the source vertex s. Let x be a node in a Binary Search Tree. If z is a node in the left subtree of x, then z.key lessthanorequalto x.key.

Explanation / Answer

1, True

A greedy algorithm is an algorithmic paradigm that follows the problem solving heuristic of making the locally optimal choice at each stage with the hope of finding a global optimum.

2. True

Yes it is used to find only a single path

3. False

There can be multiple possibilities not only 5.

4. False

When a directed graph has an adjacent edges, the length will be E only as its parallel.

5. True

v.d= infinity,

v= infinity/d = infinity.

Here d is depth of the graph

6. False

It is actually z key > x key as Z will have a larger key index value as its depth is larger than X’s depth

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