by Floyd’s Triangle is a well-known pattern in the world of programming and mathematics. It is a triangular array of natural numbers, arranged in a staggered format where the rows increase in length incrementally. Each row contains consecutive numbers starting from 1.
In this C++ program, we will generate Floyd’s Triangle based on the number of rows specified by the user. The pattern involves filling the rows with increasing numbers, starting with 1 at the top.
C++ Code to Print Floyd’s Triangle:
#include <iostream>
using namespace std;
int main() {
int rows, number = 1;
// Prompting user to enter the number of rows
cout << “Enter the number of rows for Floyd’s Triangle: “;
cin >> rows;
cout << “Floyd’s Triangle:” << endl;
// Outer loop for handling the number of rows
for (int i = 1; i <= rows; i++) {
// Inner loop for handling the number of columns in each row
for (int j = 1; j <= i; j++) {
cout << number << ” “;
number++; // Increment number for next place
}
cout << endl; // Move to the next line after each row
}
return 0;
}
Explanation:
-
Variables Declaration:
The variable rows stores the number of rows, and number keeps track of the current number to be printed, starting at 1.
-
Input from User:
The user is asked to specify the number of rows they wish to generate in Floyd’s Triangle.
-
Generating Floyd’s Triangle:
- Outer Loop (i): Runs from 1 to rows, where i represents the current row number.
- Inner Loop (j): Runs from 1 to i, reflecting that the number of elements in each row increases with the row number. Within this loop, the number is printed and then incremented.
- Each row is printed on a new line (cout << endl).
- Output:
The triangle displays numbers in a staggered format, increasing with each row.
Example Output:
If the user enters 5 for the number of rows, the output will look like this:
Floyd’s Triangle:
1
2 3
4 5 6
7 8 9 10
11 12 13 14 15
This program clearly illustrates how nested loops can be used to manage and output data in specific formats, making it a good example for beginners learning about loops and sequence generation in C++.
