Show the result of inserting the following sequence of keys into an initally empty AVL tree:...
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.
Homework Answers
Insert 15 : ------------Insert 10 : ------------
Insert 11 : ------------
Insert 16 : ------------
Insert 12 : ------------
Insert 30 : ------------
Insert 18 : ------------
Insert 20 : ------------
Insert 19 : ------------
Insert 17 : ------------
Insert 10 :
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Insert 11 :
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Insert 16 :
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Insert 12 :
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Insert 30 :
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Insert 18 :
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Insert 20 :
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Insert 19 :
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Insert 17 :
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Insert 15 : ------------Insert 10 : ------------
Insert 11 : ------------
Insert 16 : ------------
Insert 12 : ------------
Insert 30 : ------------
Insert 18 : ------------
Insert 20 : ------------
Insert 19 : ------------
Insert 17 : ------------
Insert 10 :
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Insert 11 :
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Insert 16 :
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Insert 12 :
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Insert 30 :
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Insert 18 :
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Insert 20 :
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Insert 19 :
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Insert 17 :
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Show the result of inserting the following sequence of keys into
an initally empty AVL tree:...
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...
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 initially empty red-black tree
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 initially empty red-black tree
Red-Black Tree: Show the sequence of red-black trees that result after successively inserting the keys into...
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.)
• P1 (10 pts) Show the result of inserting 2, 9, 5, 8, 6, 4, 3,...
• P1 (10 pts) Show the result of inserting 2, 9, 5, 8, 6, 4, 3, 1 into an initially empty AVL tree (draw a resulting tree after inserting each number; you need to draw 8 AVL trees). • P2 (5 pts) What is the minimum number of nodes in an AVL tree of height 8? • P3 (5 pts) Show the result of deleting the element with key 9' from the following splay tree. • P4 (5 pts) Show...
Show the 2-3-4 tree after inserting the following keys: 12, 10, 15, 17, 19, 14, 16,...
Show the 2-3-4 tree after inserting the following keys: 12, 10, 15, 17, 19, 14, 16, 13, 22, 25, and 24. Show the tree after each insertion.
1. Show the result of inserting the following keys into a heap. {22, 12, 17, 23,...
1. Show the result of inserting the following keys into a heap. {22, 12, 17, 23, 16, 25, 18, 13, 14} 2. Show what would happen if two deleteMax operations were completed. 3. Show what would happen when {15, 24} are inserted. Assume that higher numbers have higher priority.
Draw an AVL tree (initially empty) at each step when inserting the following numbers in order:...
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
Trees and Heaps 1. Show that the maximum number of nodes in a binary tree of...
Trees and Heaps 1. Show that the maximum number of nodes in a binary tree of height h is 2h+1 − 1. 2. A full node is a node with two children. Prove that the number of full nodes plus one is equal to the number of leaves in a nonempty binary tree. 3. What is the minimum number of nodes in an AVL tree of height 15? 4. Show the result of inserting 14, 12, 18, 20, 27, 16,...
Show the result of inserting 3, 1, 4, 6, 9, 2, 5, 7 into an AVL...
Show the result of inserting 3, 1, 4, 6, 9, 2, 5, 7 into an AVL tree. Make sure to show each rotation. Note: There are no double rotations in this sequence.
Show each red-black tree that results after successively inserting the keys 4 7 12 15 3...
Show each red-black tree that results after successively inserting the keys 4 7 12 15 3 5 14 18 into an initially empty red-black tree. At the steps were a red-black tree rule is violated, explain how it is corrected Now delete these keys in this order and show each resultant red-black tree 18 15 7 14. At the steps were a red-black tree rule is violated, explain how it is corrected
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 initially empty red-black tree
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 initially empty red-black tree
• P1 (10 pts) Show the result of inserting 2, 9, 5, 8, 6, 4, 3, 1 into an initially empty AVL tree (draw a resulting tree after inserting each number; you need to draw 8 AVL trees). • P2 (5 pts) What is the minimum number of nodes in an AVL tree of height 8? • P3 (5 pts) Show the result of deleting the element with key 9' from the following splay tree. • P4 (5 pts) Show...
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