Java Program to Display Floyd’s Triangle

Floyd’s triangle is a triangle with first natural numbers. It is the right arrangement of the numbers/values or patterns. Basically, it is a left to right arrangement of natural numbers in a right-angled triangle

Illustration: Suppose if no of rows to be displayed is 5 then the desired output should display 5 rows as:

1
2 3
4 5 6
7 8 9 10
11 12 13 14 15

Algorithm:

1. Initialization of variables
   • Create variables in memory holding rows and columns.
   • Create and initialize variable holding patterns or values to be displayed.
2. Traversing over rows and columns using nested for loops.
   • Outer loop for rows.
   • Inner loop for columns in the current row.
3. Dealing with variable holding dynamic values as per execution as initialized outside nested loops.
   • If values are to be displayed, increment this variable inside the loop for rows and outside loop for columns.
   • If patterns are to be displayed, assign the character outside loop while creation and no alternation of holder value in any of loops.

Implementation: Floyd’s Triangle

Example 

1  
2  3  
4  5  6  
7  8  9  10  
11  12  13  14  15

Time Complexity: O(n²) for given n

Auxiliary Space: O(1)