יסודות מבנה נתונים תרגול 6 Foundations of Data Structures - 2013/Spring, Amihai Savir & Ilya Mirsky AVL TREES.

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Presentation transcript:

יסודות מבנה נתונים תרגול 6 Foundations of Data Structures /Spring, Amihai Savir & Ilya Mirsky AVL TREES

Trees Foundations of Data Structures /Spring, Amihai Savir & Ilya Mirsky

AVL Tree Foundations of Data Structures /Spring, Amihai Savir & Ilya Mirsky

Question 1 Foundations of Data Structures /Spring, Amihai Savir & Ilya Mirsky Insert 14, 17, 11, 7, 53, 4, 13 into an empty AVL tree

AVL Tree Example:

AVL Tree Example: Insert 14, 17, 11, 7, 53, 4, 13 into an empty AVL tree

AVL Tree Example: Now insert

AVL Tree Example: Now insert

AVL Tree Example: Now the AVL tree is balanced

AVL Tree Example: Now insert

AVL Tree Example: Now insert

AVL Tree Example: Now the AVL tree is balanced

AVL Tree Example: Now remove

AVL Tree Example: Now remove 53, unbalanced

AVL Tree Example: Balanced! Remove

AVL Tree Example: Remove 11, replace it with the largest in its left branch

AVL Tree Example: Remove 8, unbalanced

AVL Tree Example: Remove 8, unbalanced

AVL Tree Example: Balanced!!

Question 2 Foundations of Data Structures /Spring, Amihai Savir & Ilya Mirsky

Question 2 Foundations of Data Structures /Spring, Amihai Savir & Ilya Mirsky

Question 2 Foundations of Data Structures /Spring, Amihai Savir & Ilya Mirsky

Question 2 Foundations of Data Structures /Spring, Amihai Savir & Ilya Mirsky

Question 3 Foundations of Data Structures /Spring, Amihai Savir & Ilya Mirsky

Question 4 Foundations of Data Structures /Spring, Amihai Savir & Ilya Mirsky

Question 4 Foundations of Data Structures /Spring, Amihai Savir & Ilya Mirsky

Question 4 Foundations of Data Structures /Spring, Amihai Savir & Ilya Mirsky

Question 4 Foundations of Data Structures /Spring, Amihai Savir & Ilya Mirsky

Question 4 Foundations of Data Structures /Spring, Amihai Savir & Ilya Mirsky

Question 5 Foundations of Data Structures /Spring, Amihai Savir & Ilya Mirsky

Question 5 Foundations of Data Structures /Spring, Amihai Savir & Ilya Mirsky

Question 5 Foundations of Data Structures /Spring, Amihai Savir & Ilya Mirsky

Question 5 Foundations of Data Structures /Spring, Amihai Savir & Ilya Mirsky

Question 5 Foundations of Data Structures /Spring, Amihai Savir & Ilya Mirsky