Write a recursive C function that will generate a binary search tree from some given values by inserting one value at a time using the following function prototype- int insertNode (int *tree, int x); // x will be inserted into tree as a node.

Write a recursive C function that will generate a binary search tree from some given values by inserting one value at a time using the following function prototype- int insertNode (int *tree, int x); // x will be inserted into tree as a node.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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A binary search tree is a binary tree where the value of each node in the left subtree of
a node is smaller than the value of that node, while the value of each node in the right
subtree is equal to or higher than the value of that node. A binary search tree is
represented by a 1D array as follows-
(i) The root is placed at index 1.
(ii)
If a node is in index i, then its left child is placed at index 2i and the right child
is placed at index 2i + 1.
(iii) -1 indicates the node does not exist.
Write a recursive C function that will generate a binary search tree from some given
values by inserting one value at a time using the following function prototype-
int insertNode (int *tree, int x);
// x will be inserted into tree as a node.
Also write a recursive C function that counts the number of nodes available in the tree.

(c) A tree has exactly one path from the root (e.g., the node marked with 8 in the Figure
for Q. 2(c) is the root) to any node. A binary tree is a tree where each node has at most
two children. For example, node 3 and node 10 are the children of node 8; similarly,
node 1 and node 6 are the children of node 3. Moreover, node 3 is the left child and
node 10 is the right child of node 8. Also note that, nodes 1, 3, 4, 6 and 7 are in the left
subtree and nodes 10, 13 and 14 are in the right subtree of node 8.
Figure for Q. 2(c)
Contd...... P/3

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