Step by Step solution about How to resolve the algorithm Leonardo numbers step by step in the C++ programming language

This C++ code generates and prints the first 25 numbers of two mathematical series: the Leonardo numbers and the Fibonacci numbers. Here's a breakdown of the code:

1. Header and Namespace:

   • The code includes the necessary header file <iostream> for input and output operations.
   • It uses the std namespace, which contains standard C++ library functions and objects.

2. Function leoN:

   • This function generates and prints a specified number of terms of a mathematical series.
   • It takes several parameters:
     • cnt: The number of terms to generate.
     • l0 (default 1): The initial value of the series.
     • l1 (default 1): The second initial value of the series.
     • add (default 1): An additional value to add in each iteration for the Leonardo series only.
   • The function uses a loop to calculate and print the terms of the series:
     1. For each iteration (from 0 to cnt-1), it prints the current value of l0.
     2. It calculates the next term of the series by adding l0 and l1 (and add for the Leonardo series).
     3. It updates l0 to the previous value of l1 and updates l1 to the newly calculated next term.

3. Main Function:

   • This is the entry point of the program.
   • It invokes the leoN function twice:
     1. First, it prints the first 25 Leonardo numbers by calling leoN(25) with its default parameters.
     2. Next, it prints the first 25 Fibonacci numbers by calling leoN(25, 0, 1, 0). Here, add is set to 0 to generate Fibonacci numbers because in the Fibonacci series, the next term is the sum of the previous two terms.

4. Output:

   • The program generates and prints the first 25 terms of both the Leonardo and Fibonacci series, separated by spaces.

#include <iostream>

void leoN( int cnt, int l0 = 1, int l1 = 1, int add = 1 ) {
    int t;
    for( int i = 0; i < cnt; i++ ) {
        std::cout << l0 << " ";
        t = l0 + l1 + add; l0 = l1; l1 = t;
    }
}
int main( int argc, char* argv[] ) {
    std::cout << "Leonardo Numbers: "; leoN( 25 );
    std::cout << "\n\nFibonacci Numbers: "; leoN( 25, 0, 1, 0 );
    return 0;
}