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Consider a best first search method which sorts our fringe list on f ( n ) with f ( n ) = h ( n

Consider a best first search method which sorts our fringe list on f(n) with f(n)=h(n), where h(n) is an admissible heuristic, Will this approach converge to the global optimum (i.e. the shortest path)?
(Yes/No and explain)
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Yes it will find the global optimum path but NOT using the minimum required node expansions
No it is not guaranteed not find the global optimum path

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