Is the following statement true or false? a. Performing one rotation always preserves the AVL property.  b. For any two functions f and g, we always have either f = O(g) or g = O(f). c. We run the breadth-first search algorithm (BFS) on a undirected graph G such that all edges have the same weight. BFS returns the shortest path from a source vertex s to any other vertex.

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A:

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A: The answer to all the parts along with their explanation is given below:

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A: Below are the answers of BFS and DFS:

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