Consider the following sentences regarding A*, an informed search strategy in Artificial Intelligence (AI). 1. A* expands all nodes with f(n) < C*. 2. A* expands no nodes with f(n)/C*. 3. Pruning is integral to A*.Here, C* is the cost of the optimal solution path.Which of the following are correct with respect to the above statements?a)1, 2 and 3 are correctb)2 and 3 are correctc)1 and 3 are correctd)1 and 2 are correcte)Only 1 is correct
Question
Consider the following sentences regarding A*, an informed search strategy in Artificial Intelligence (AI). 1. A* expands all nodes with f(n) < C*. 2. A* expands no nodes with f(n)/C*. 3. Pruning is integral to A*.Here, C* is the cost of the optimal solution path.Which of the following are correct with respect to the above statements?a)1, 2 and 3 are correctb)2 and 3 are correctc)1 and 3 are correctd)1 and 2 are correcte)Only 1 is correct
Solution
The correct answer is c) 1 and 3 are correct.
Here's why:
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A* expands all nodes with f(n) < C*. This is true. A* search algorithm expands all nodes where the estimated cost of the solution through that node is less than the cost of the optimal solution.
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A* expands no nodes with f(n) > C*. This is not necessarily true. A* may expand nodes with f(n) > C* if it has not yet found a solution, or if there are multiple solutions with the same cost.
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Pruning is integral to A*. This is true. Pruning is a key part of A*, as it helps to eliminate paths that are not likely to lead to a solution, thus making the search process more efficient.
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