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R-11.22 Consider the sequence of keys (5, 16, 22,45,2, 10, 18,30,50, 12,1. Draw the result of inserting entries with these keys (in the given order) into a. An initially empty (2,4) tree. b. An i...
Red-Black Tree: Show the sequence of red-black trees that result after successively inserting the keys into an initially empty red-black tree in the order given: K = < 20, 5, 1, 12, 7 >. (Show at least one tree resulting from each insertion). State which case from the textbook (Introduction to Algorithms, 3rd Edition by Thomas H. Cormen et al) applies. Assume that the root is always colored black.)
Show the result of inserting the following sequence of keys into an initally empty AVL tree: 15, 10, 11, 16, 12, 30, 18, 20, 19, 17.
1a) Draw the 2-3 tree that results when you insert the keys S E A R C H X M P L Y in that order into an initially empty tree. 1b) Construct the corresponding left leaning red-black tree from part a. 1c) Find a sequence of keys to insert into a BST and a left leaning red-black BST such that the height of the BST is less than the height of the left leaning red-black BST, or prove that...
(a) On an initially empty red-black tree, perform the following operations in this order: insert(1), insert(3), insert(5), insert(6), insert(7), delete(1) Show all the intermediate steps of your work (b) We can get another sorting algorithm by first inserting all the keys into a red-black tree, and then performing an in-order traversal of the tree. What's the time complexity of this algorithm? (As always, use O or Θ notation.)
answer number 7 5. Draw the binary search tree that would result from inserting the following numbers into an initially empty tree in the order given: 45, 37, 62, 67, 49, 51, 16, 8, 73, 71, 64, 65 6. Given the tree created in problem 5, draw the tree that would result if you deleted the 37 from the tree? 7. Given the tree created in problem 5, draw the tree that would result if you deleted the 62 from...
Draw an AVL tree (initially empty) at each step when inserting the following numbers in order: 1; 2; 5; 4; 6; 3; 10; 9; 7; 8 Now, draw the above AVL tree at each step when deleting the following numbers in order (assuming that the substitution on deleting a node is done by replacing it with the minimum in the right subtree): 4; 5; 6
1. Draw the 2-3 trees that result when you insert the keys Y L P M X H C R A E S İn that order into an initially empty tree. There should be 11 trees in all. Use the final tree to construct the corresponding red-black tree. 2. Draw all the structurally different red-black trees (i.e. no specific keys) with n keys for n from 2 to 8.
Problem 3 Consider the following sequence of keys: (22,45,2,10,18,16,5,30,50,12,1) Consider the insertion of items with this set of keys, in the order given, into an initially empty (2,3) tree T. Draw T after each insertion.
PROBLEM 6: Suppose we insert keys below into an initially empty binary search tree in the given order 6, 9, 2, 1, 5, 7, 10, 8, 3,4 (a) Draw the resulting binary search tree. (b) List the keys according to: A pre-order traversal An in-order traversal A post-order traversal (c) Now we perform some deletions using the "deletion by copying" strategy in which promoted keys are always drawn from a node's right subtree (so that there is only one correct...
PROBLEM 6: Suppose we insert keys below into an initially empty Vanilla binary search tree in the given order: 6, 9, 2, 1, 5, 7, 10, 8, 3, 4 (a) Draw the resulting binary search tree. (b) List the keys according to: A pre-order traversal An in-order traversal A post-order traversal (c) Now we perform some deletions using the “deletion by copying” strategy in which promoted keys are always drawn from a node’s right subtree (so that there is only...