Java: Create maximum number of regions obtained by drawing n given straight lines
Java Basic: Exercise-234 with Solution
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)
Sample Solution:
Java Code:
import java.util.*;
public class Main {
public static void main(String[] args){
Scanner scan = new Scanner(System.in);
System.out.println("Input number of straight lines:");
int n=scan.nextInt();
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
Pictorial Presentation:
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.
Next: Write a Java program to test whether AB and CD are orthogonal or not.
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