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Square Root Binary Search in java

Posted on December 1, 2021December 1, 2021 By christo No Comments on Square Root Binary Search in java

Complete implementation of Square Root Binary Search in java

import java.util.Scanner;

/**
 * Given an integer x, find the square root of x. If x is not a perfect square,
 * then return floor(√x).
 * <p>
 * For example, if x = 5, The answer should be 2 which is the floor value of √5.
 * <p>
 * The approach that will be used for solving the above problem is not going to
 * be a straight forward Math.sqrt(). Instead we will be using Binary Search to
 * find the square root of a number in the most optimised way.
 *
 * 
 */
public class SquareRootBinarySearch {

    /**
     * This is the driver method.
     *
     * @param args Command line arguments
     */
    public static void main(String args[]) {
        Scanner sc = new Scanner(System.in);
        System.out.print("Enter a number you want to calculate square root of : ");
        int num = sc.nextInt();
        long ans = squareRoot(num);
        System.out.println("The square root is : " + ans);
    }

    /**
     * This function calculates the floor of square root of a number. We use
     * Binary Search algorithm to calculate the square root in a more optimised
     * way.
     *
     * @param num Number
     * @return answer
     */
    private static long squareRoot(long num) {
        if (num == 0 || num == 1) {
            return num;
        }
        long l = 1;
        long r = num;
        long ans = 0;
        while (l <= r) {
            long mid = l + (r - l) / 2;
            if (mid == num / mid) {
                return mid;
            } else if (mid < num / mid) {
                ans = mid;
                l = mid + 1;
            } else {
                r = mid - 1;
            }
        }
        return ans;
    }
}
Algorithm, java Tags:java, Square Root Binary Search

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