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INORDER-TREE-WALK (x) 23 1 if x = NIL INORDER-TREE-WALK (x.left) 2 3 print x.key 4 INORDER-TREE-WALK (x.right) 12.2-7 An alternative method of performing an inorder tree walk of an n-node binary search tree finds the minimum element in the tree by calling TREE-MINIMUM and then making n − 1 calls to TREE-SUCCESSOR. Prove that this algorithm runs in O(n) time.

INORDER-TREE-WALK (x) 23 1 if x = NIL INORDER-TREE-WALK (x.left) 2 3 print x.key 4 INORDER-TREE-WALK (x.right) 12.2-7 An alternative method of performing an inorder tree walk of an n-node binary search tree finds the minimum element in the tree by calling TREE-MINIMUM and then making n − 1 calls to TREE-SUCCESSOR. Prove that this algorithm runs in O(n) time.

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INORDER-TREE-WALK (x) 23 1 if x = NIL INORDER-TREE-WALK (x.left) 2 3 print x.key 4 INORDER-TREE-WALK (x.right)
Transcribed Image Text:INORDER-TREE-WALK (x) 23 1 if x = NIL INORDER-TREE-WALK (x.left) 2 3 print x.key 4 INORDER-TREE-WALK (x.right)
12.2-7 An alternative method of performing an inorder tree walk of an n-node binary search tree finds the minimum element in the tree by calling TREE-MINIMUM and then making n − 1 calls to TREE-SUCCESSOR. Prove that this algorithm runs in O(n) time.
Transcribed Image Text:12.2-7 An alternative method of performing an inorder tree walk of an n-node binary search tree finds the minimum element in the tree by calling TREE-MINIMUM and then making n − 1 calls to TREE-SUCCESSOR. Prove that this algorithm runs in O(n) time.
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