Question: Assume that a directed graph is finite, has one single start node and one single goal node, has positive weights ( costs ) for all

Assume that a directed graph is finite, has one single start node and one single goal node, has positive weights (costs) for all edges, and has no circular paths. What are the correct statements for the search algorithm in this directed graph? Select all that apply:
UCS search is always complete and optimal.
UCS search might not always be complete or optimal.
A* search is always complete and optimal.
Depending on the heuristic, A* search might not always be complete or optimal.

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