Java: Create maximum number of regions obtained by drawing n given straight lines
Java Basic: Exercise-234 with Solution
Maximum Regions from Straight Lines
If you draw a straight line on a plane, the plane is divided into two regions. For example, if you draw two straight lines in parallel, you get three areas. If you draw vertically from one to the other you get 4 areas.
Write a Java program to create the maximum number of regions obtained by drawing n given straight lines.
Input:
(1 ≤ n ≤ 10,000)
Visu al Presentation:
Sample Solution:
Java Code:
// Importing the necessary package for Scanner class
import java.util.*;
// Main class named "Main"
public class Main {
// Main method to execute the program
public static void main(String[] args){
// Creating a Scanner object to read input from the console
Scanner scan = new Scanner(System.in);
// Prompting the user to input the number of straight lines
System.out.println("Input number of straight lines:");
// Reading the input value for the number of straight lines
int n = scan.nextInt();
// Outputting the number of regions based on the given formula
System.out.println("Number of regions:");
System.out.println((n * (n + 1) >> 1) + 1);
}
}
Sample Output:
Input number of straight lines: 5 Number of regions: 16
Flowchart:
Java Code Editor:
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Previous: Write a Java program that accept a even number (n should be greater than or equal to 4 and less than or equal to 50,000, Goldbach number) from the user and create a combinations that express the given number as a sum of two prime numbers. Print the number of combinations.
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