Tree Lectures SSB

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  • Launchpad

    Data Structures Trees - 3

    Friday, July 25, 2014

    Anushray Gupta

  • Any doubts?

    Friday, July 25, 2014 2

  • Binary Search Trees

    Friday, July 25, 2014 3

  • BST Properties

    1. Every Node in left sub-tree has value less than or equal to root

    2. Every Node in right sub-tree has value greater than or equal to root

    Friday, July 25, 2014 4

  • Binary Search trees

    Friday, July 25, 2014 5

  • Binary Search Trees

    class BinarySearchTree { Node * root; // accessor methods int size(); boolean isEmpty(); Node *findElement(int element); Node *findMinimum(); Node *findMaximum(); // update methods void addElement(int element); void removeElement(int element); void removeMin(); Void removeMax();

    }

    Friday, July 25, 2014 6

  • Lets discuss few problems

    1. Print BST elements in range K1 and K2 2. Find successor of a given node

    Friday, July 25, 2014 7

  • Time to try?

    1. Given a binary tree check if its BST 2. Given preorder traversal of a binary

    search tree, construct the BST

    Friday, July 25, 2014 8

  • Build a BST using a sorted array

    Friday, July 25, 2014 9

  • Balanced/unbalanced Tree

    Friday, July 25, 2014 10

  • Balanced Trees

    1. AVL Tree 2. Red Black Trees 3. 2-4 Trees

    Friday, July 25, 2014 11

  • Thank You!

    Anushray Gupta +91-9555567876 [email protected]

    Friday, July 25, 2014 12