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Which search method takes less memory?

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Which search method takes less memory?

(a) Depth-First Search

(b) Breadth-First search

(c) Linear Search

(d) Optimal search
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The correct answer is (a) Depth-First Search

To explain I would say: Depth-First Search takes less memory since only the nodes on the current path are stored, but in Breadth First Search, all of the tree that has generated must be stored.
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