Data structure day 6

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Mohammed Elsdody

Data Structure

Software

BINARY SEARCH TREE
Binary Search Tree, is a node-based binary tree data structure which has the following
properties:
• The left subtree of a node contains only nodes with keys lesser than the node’s key.
• The right subtree of a node contains only nodes with keys greater than the node’s
key.
• The left and right subtree each must also be a binary search tree.
There must be no duplicate nodes.

BINARY SEARCH TREE
Tree provide an ordering among keys so that the operations like search,
minimum and maximum can be done fast. If there is no ordering, then we
may have to compare every key to search a given key.

SEARCHING A KEY
• To search a given key in Binary Search Tree, we first compare it with root, if the key is
present at root, we return root. If key is greater than root’s key, we recur for right
subtree of root node. Otherwise we recur for left subtree.

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PLEASE PLEASE use you own words, do not copy and paste !!! This is a computer science/ Data Structure assignment !! Write one to two paragraphs describing each of the following topics separatly (each paragraph must be 3 sentences or more): 1. Binary Tree Nodes 2. Binary Search Trees Make sure to include resources. Thank you, Solution The basic difference if we say about Binary Tree Nodes and Binary Search Tree is that BST is a type of Binary tree. Binary Tree is the one in where each node will have a left and right node , the topmost elements of the tree is called root.Every node is connected to another node via directed edge.And when there are no ledt and right to node which means no children then that node is called leaf and also called external nodes whereas other nodes are called internal nodes. Binary Search Tree are the one where everyproperty defined above will be there plus additonal property that data will be stored in sorted manner , for every node the data on left subtree is less than parent node and on right subtree will be greater than parent node.Also duplicate keys are not allowed..

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How the non-dense index works? How the non-dense index works? Solution Dense Index: An index record appears for every search key value in file. This record contains search key value and a pointer to the actual record. This makes searching faster but requires more space to store index records itself. Index records contain search key value and a pointer to the actual record on the disk. A non-dense index has: One entry for each block One entry for each different value Sparse Index is non-dense index In sparse index, index records are not created for every search key. An index record here contains a search key and an actual pointer to the data on the disk. To search a record, we first proceed by index record and reach at the actual location of the data. If the data we are looking for is not where we directly reach by following the index, then the system starts sequential search until the desired data is found..

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