Java Program to print the Floyd Triangle

Floyd's Triangle is a right-angled triangular array of natural numbers, named after Robert Floyd, who was an eminent computer scientist. In Floyd's Triangle, each row contains consecutive natural numbers starting from 1, and each subsequent row has one more number than the previous row. The numbers are arranged in a triangular pattern, with each row representing a different sequence of numbers. Floyd's Triangle is often used as a visual aid in number theory and pattern recognition exercises.

Understanding the code

1.   The code initializes a variable k to 1, which represents the starting value for generating the sequence of natural numbers.

2.   The main logic of generating Floyd's Triangle is implemented using nested for loops. The outer loop (for(int i=0;i<5;i++)) controls the number of rows in the triangle, and the inner loop (for (int j=0;j<=i;j++)) controls the number of elements in each row.

3.   Within the inner loop, each natural number in the sequence is printed, followed by a tab space (\t). The value of k is incremented after printing each number to ensure consecutive numbers in the triangle.

4.   After printing all numbers in a row, a newline character (\n) is added to move to the next row.

5.   Steps 2-4 are repeated for each row until the desired number of rows is reached.

public class FloydTriangle {


    public static void main(String[] args) {
       
        int k=1;


        for(int i=0;i<5;i++){
            for (int j=0;j<=i;j++){
                System.out.print(k%2+"\t");
                k++;
            }
            System.out.println("\n");
        }


    }
   
}