Binary Search Algorithm: Data Structure

Binary Search Algorithm:-

//Binary search is a fast search algorithm with run-time complexity of Ο(log n).
// This search algorithm works on the principle of divide and conquer.
// For this algorithm to work properly, the data collection should be in the sorted form.

// Binary search looks for a particular item by comparing the middle most item of the collection.
// If a match occurs, then the index of item is returned. If the middle item is greater than the item,
// then the item is searched in the sub-array to the left of the middle item. Otherwise,
// the item is searched for in the sub-array to the right of the middle item.
// This process continues on the sub-array as well until the size of the subarray reduces to zero.

import java.util.Arrays;
import java.util.Scanner;

public class BinarySearchAlgorithm {

public static void main(String[] args) {

int number, counter, first, last, mid, sitem, array[];
Scanner sc = new Scanner(;
System.out.println("enter the number of elements for array");
number = sc.nextInt();

array = new int[number];

System.out.println("Enter " + number + " array elements: ");
for (counter = 0; counter < number; counter++) {
array[counter] = sc.nextInt();
System.out.println("Length of array is : " + array.length);
System.out.println("Enter the element to search in the list of array elements: ");

sitem = sc.nextInt();
Arrays.sort(array); //binary search works on sorted arrays only so sort first

first = 0;
last = number - 1;
mid = (first + last) / 2;

for (counter = 0; counter < number; counter++) {
if (array[mid] < sitem) {
first = mid + 1;
} else if (array[mid] > sitem) {
last = mid - 1;
} else {
System.out.println(sitem + " is found in the list of array at location: " + (mid + 1));
mid = (first + last) / 2;

//or above one or below one both are correct
if (counter==number) {
System.out.println(sitem + " is not in the list of array");

public static void printArray(int[] a) {
System.out.println("Array of Elements: ");
for (int i : a) {
System.out.print(i + " , ");


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