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. 234 INORDER-TREE-WALK (x) 1 if x = NIL INORDER-TREE-WALK (x.left) print x.key INORDER-TREE-WALK (x.right)

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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.
234
INORDER-TREE-WALK (x)
1 if x = NIL
INORDER-TREE-WALK (x.left)
print x.key
INORDER-TREE-WALK (x.right)
Transcribed Image Text:234 INORDER-TREE-WALK (x) 1 if x = NIL INORDER-TREE-WALK (x.left) print x.key INORDER-TREE-WALK (x.right)
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