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Select all the statements below which are TRUE: We are given two sequences: X wi

ID: 3575880 • Letter: S

Question

Select all the statements below which are TRUE:

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 x be a node in a Binary Search Tree. If z is a node in the left subtree of x, then z.key x.key.

Let v be a vertex in the graph G. If v.d = after we run Breadth First Search algorithm BFS(G,s), then it means that v is not reachable from the source vertex s.

Dijkstra's algorithm can be used to compute single-source shortest paths when all edges have nonnegative weights.

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.

Let G be a directed graph. In the adjacency-list representation of G, the sum of the lengths of adjacency lists is 2|E|.

Please help...

1.

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.

2.

Let x be a node in a Binary Search Tree. If z is a node in the left subtree of x, then z.key x.key.

3.

Let v be a vertex in the graph G. If v.d = after we run Breadth First Search algorithm BFS(G,s), then it means that v is not reachable from the source vertex s.

Dijkstra's algorithm can be used to compute single-source shortest paths when all edges have nonnegative weights.

4.

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.

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|.

Explanation / Answer

1)False.because longest common subsequence checking in both.if x=4 length string ,y=7 lengh string then possibility for LCS=lenght which is lessthan among those 2

2)True

3)False.in BFS we have to travel level wise.there is no scope to distance

3b)True

4)True

5)False

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