Binary Search

 1) Binary Search

Aim

To search an element in a sorted array using Binary Search in C (without functions).

Objective

  • To apply the concept of divide and conquer.

  • To achieve O(log⁡n)O(\log n)O(logn) search time compared to linear search.

Algorithm

  1. Input number of elements and sorted array.

  2. Set low = 0, high = n-1.

  3. Repeat until low <= high:

    • mid = (low + high) / 2

    • If arr[mid] == key, element is found.

    • Else if arr[mid] < key, search in right half.

    • Else, search in left half.

  4. If not found, print "Element not found".

Flowchart 

flowchart

C Code

#include <stdio.h>

int main() {

    int n, key, low, high, mid, found = 0;

    printf("Enter number of elements: ");

    scanf("%d", &n);

    int arr[n];

    printf("Enter sorted array elements: ");

    for (int i = 0; i < n; i++)

        scanf("%d", &arr[i]);

    printf("Enter element to search: ");

    scanf("%d", &key);

    low = 0;

    high = n - 1;


    while (low <= high) {

        mid = (low + high) / 2;

        if (arr[mid] == key) {

            printf("Element found at index %d\n", mid);

            found = 1;

            break;

        } else if (arr[mid] < key) {

            low = mid + 1;

        } else {

            high = mid - 1;

        }

    }

    if (!found)

        printf("Element not found\n");

    return 0;

}

Comments

Post a Comment

Popular posts from this blog

Stack using array

Image
  1) Stack using Array Aim To implement stack operations (Push, Pop, Display) using arrays in C. Objective To study the LIFO (Last In, First Out) principle. To practice array-based implementation of data structures. Algorithm Push: If top == n-1, then overflow. Else top = top + 1 and insert element at stack[top]. Pop: If top == -1, then underflow. Else delete element from stack[top], then top = top - 1. Display: If top == -1, stack empty. Else print elements from stack[top] to stack[0]. Flowchart  C Code (Stack using Array) #include <stdio.h> #define MAX 5 int main() {     int stack[MAX], top = -1, choice, item, i;     while (1) {         printf("\n--- Stack Menu ---\n");         printf("1. Push\n2. Pop\n3. Display\n4. Exit\n");         printf("Enter choice: ");         scan...
Read more

Bubble Sort

Image
  2) Bubble Sort Aim To arrange elements in ascending order using Bubble Sort (without functions). Objective To study simple comparison-based sorting. To understand swapping of adjacent elements. Algorithm Input number of elements and array. Repeat for i = 0 to n-1 Repeat for j = 0 to n-i-2 If arr[j] > arr[j+1], swap them. Print sorted array. Flowchart C Code #include <stdio.h> int main() {     int n, i, j, temp;     printf("Enter number of elements: ");     scanf("%d", &n);     int arr[n];     printf("Enter array elements: ");     for (i = 0; i < n; i++)         scanf("%d", &arr[i]);     for (i = 0; i < n - 1; i++) {         for (j = 0; j < n - i - 1; j++) {             if (arr[j]...
Read more

Singly linked list implementation

Image
  Singly Linked List Implementation Aim To implement basic operations on a Singly Linked List in C. Objective To study dynamic memory allocation using linked lists. To perform Insert, Delete, Traverse operations. To understand pointer manipulation in data structures. Operations in Singly Linked List Insert at Beginning Insert at End Insert at Position Delete from Beginning Delete from End Delete from Position Display List Algorithm Insert at Beginning Create new node. new->next = head. head = new. Insert at End Create new node. If list empty → head = new. Else traverse to last node, set last->next = new. Insert at Position Traverse until position-1. Link new node in between. Delete from Beginning If empty → print "Underflow". Else move head to head->next, free old head. Delete from End If empty → print "Underflow". Else traverse to last-1 node, set last->next = NULL, free last. Delete from Position Traverse until position-1. Adjust links and free node...
Read more