Lecture 31 - Floyd's Triangle Pattern

Floyd's triangle is a number pattern named after Robert W. Floyd, who introduced it. It is a right-angled triangular pattern, where each row starts with the number 1 and increases consecutively up to the row number. Here's an example of Floyd's triangle with 5 rows:

Copy code

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

Let's write a C++ program to generate Floyd's triangle based on the number of rows specified by the user:

cppCopy code

#include <iostream> int main() {    int rows;    std::cout << "Enter the number of rows: ";    std::cin >> rows;    int count = 1;    for (int i = 1; i <= rows; i++) {        for (int j = 1; j <= i; j++) {            std::cout << count << " ";            count++;        }        std::cout << std::endl;    }    return 0; }

Example output for rows = 5:

Copy code

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

In the code above, we use two nested loops. The outer loop i controls the number of rows, and the inner loop j prints the numbers in each row. The variable count is used to keep track of the current number to be printed in each row, and it starts from 1 and increments after each number is printed.

Feel free to experiment with different values of rows to generate Floyd's triangle of different sizes.