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==Traversal== {{Main article|Tree traversal}} {{see also|Threaded binary tree}} A BST can be [[Tree traversal|traversed]] through three basic algorithms: [[inorder traversal|inorder]], [[pre-order traversal|preorder]], and [[post-order traversal|postorder]] tree walks.<ref name="algo_cormen" />{{rp|287}} *'''Inorder tree walk''': Nodes from the left subtree get visited first, followed by the root node and right subtree. Such a traversal visits all the nodes in the order of non-decreasing key sequence. *'''Preorder tree walk''': The root node gets visited first, followed by left and right subtrees. *'''Postorder tree walk''': Nodes from the left subtree get visited first, followed by the right subtree, and finally, the root. Following is a recursive implementation of the tree walks.<ref name="algo_cormen" />{{rp|287β289}} {| |- style="vertical-align:top" | Inorder-Tree-Walk(x) '''if''' x ≠ NIL '''then''' Inorder-Tree-Walk(x.left) ''visit node'' Inorder-Tree-Walk(x.right) '''end if''' | Preorder-Tree-Walk(x) '''if''' x ≠ NIL '''then''' ''visit node'' Preorder-Tree-Walk(x.left) Preorder-Tree-Walk(x.right) '''end if''' | Postorder-Tree-Walk(x) '''if''' x ≠ NIL '''then''' Postorder-Tree-Walk(x.left) Postorder-Tree-Walk(x.right) ''visit node'' '''end if''' |}
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