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Unformatted text preview: y ]= x . (Hint: do this problem in 3 steps. First show that y must be an ancestor of x by eliminating the possibility that it is either a descendent of x or a cousin of x ; second, show the same thing for left[ y ]; third, show by contradiction that there is no ancestor of x which is lower than y , and which has the same properties. All steps boil down to a careful application of the BST properties.) 3. (1 Point) Insert the following keys (in order) into an initially empty Binary Search Tree, and draw the BST structure that results: 26, 41, 47, 17, 14, 30, 10, 38, 28, 21, 19, 12, 16, 39, 23, 20, 15, 7, 35, 3. Determine an assignment of colors Red and Black to the nodes in this tree so as to satisfy the Red-Black Tree properties. 4. (1 Point) 13.1-5 Show that the longest simple path from a node x in a red-black tree to a descendant leaf has length at most twice that of the shortest simple path from node x to a descendant leaf....
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- Spring '09
- Binary Search