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If m is the branching factor and d is the maximum depth of the search tree, then the space complexity of  greedy search will be of the ordera.d*mb.d^mc.d+md.m^d

Question

If m is the branching factor and d is the maximum depth of the search tree, then the space complexity of  greedy search will be of the ordera.d*mb.d^mc.d+md.m^d

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Solution

The space complexity of a greedy search algorithm is O(b^d).

Here's why:

  1. In a greedy search algorithm, we explore one node at a time and keep all the siblings of the node in memory to explore later.

  2. The maximum number of nodes stored in memory at any point is the maximum number of sibling nodes. This occurs at the maximum depth of the tree, d.

  3. At depth d, there are b^d nodes because each node has b children and there are d levels in the tree.

  4. Therefore, the space complexity of a greedy search algorithm is O(b^d).

So, the correct answer is b. d^m.

This problem has been solved

Similar Questions

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What is the space complexity of Depth-first search?OptionsO(b)O(m)Greedy Best-First SearchO(bm)O(bl)

What is the space complexity of a Binary Search Tree if n is the number of nodes?O(1)O(log n)O(n)O(n log n)

The running time complexity of DFS (Depth-first search) traversal algorithm is a. O(logV*logE), where V is the number of vertices and E is the number of edges b. O(logV+logE), where V is the number of vertices and E is the number of edges c. O(V+E), where V is the number of vertices and E is the number of edges d. O(V*E), where V is the number of vertices and E is the number of edges

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