C++ Programming Code Examples
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Program to Find Maximum Element in an Array using Binary Search
/* Program to Find Maximum Element in an Array using Binary Search
- Construct a Binary Search Tree for the given data.
- Search the maximum element with time complexity O(log(n)).
- Construct binary search tree for the given unsorted data array.
- For the maximum element move the pointer to the rightmost child node.
- This value will be the minimum value among the given data.
- Exit. */
#include<iostream>
using namespace std;
// A structure representing a node of a tree.
struct node
{
int data;
node *left;
node *right;
};
// A function creating new node of tree and assigning the data.
node* CreateNode(int data)
{
node *newnode = new node;
newnode->data = data;
newnode->left = NULL;
newnode->right = NULL;
return newnode;
}
// A function creating binary search tree.
node* InsertIntoTree(node* root, int data)
{
// Create node using data from argument list.
node *temp = CreateNode(data);
node *t = new node;
t = root;
// If root is null, assign it to the node created.
if(root == NULL)
root = temp;
else
{
// Find the position for the new node to be inserted.
while(t != NULL)
{
if(t->data < data )
{
if(t->right == NULL)
{
// If current node is NULL then insert the node.
t->right = temp;
break;
}
// Shift pointer to the left.
t = t->right;
}
else if(t->data > data)
{
if(t->left == NULL)
{
// If current node is NULL then insert the node.
t->left = temp;
break;
}
// Shift pointer to the left.
t = t->left;
}
}
}
return root;
}
int main()
{
char ch;
int n, i, a[20]={86, 59, 96, 1, 8, 63, 74, 44, 88, 13, 23, 24, 36, 96, 76, 41, 49, 81, 66, 97};
node *root = new node;
root = NULL;
// Construct the BST.
cout<<"\nData set:\n";
for(i = 0; i < 20; i++)
{
cout<<a[i]<<" ";
root = InsertIntoTree(root, a[i]);
}
// Traverse to the rightmost child node to get maximum of the given data.
cout<<"\n\nThe maximum element of the given data set is ";
i = 0;
while(root->right != NULL)
{
i++;
root = root->right;
}
cout<<root->data<<" found at "<<i<<" depth from the root.";
return 0;
}
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