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

The provided C code generates the first 25 Leonardo numbers based on the input provided by the user. Leonardo numbers are a sequence of integers defined similarly to the Fibonacci sequence, but with a different starting point and incremental step.

Here's a detailed explanation of the code:

1. It includes the standard input/output library <stdio.h> for input and output operations.

2. The leonardo function is defined to generate and print the Leonardo numbers. It takes four arguments:

   • a: The first Leonardo number.
   • b: The second Leonardo number.
   • step: The incremental step used to calculate subsequent Leonardo numbers.
   • num: The number of Leonardo numbers to generate and print.

3. Inside the leonardo function:

   • It prints a title to indicate that it will display the first 25 Leonardo numbers.
   • It uses a for loop to iterate from i = 1 to i <= num.
   • For the first two iterations (when i is 1 and 2), it directly prints a and b.
   • For subsequent iterations (i > 2), it calculates the next Leonardo number as a + b + step.
   • It updates the values of a and b for the next iteration.

4. In the main function:

   • It declares three variables: a, b, and step to store the user's input.
   • It prompts the user to enter the first two Leonardo numbers and the incremental step.
   • It calls the scanf function to read the values entered by the user and store them in the appropriate variables.
   • It calls the leonardo function by passing a, b, step, and 25 (to generate and print the first 25 Leonardo numbers).

5. The program uses a loop to calculate and print the first 25 Leonardo numbers based on the user's input.

When you run the program, it asks you to enter two Leonardo numbers and an incremental step. Once you provide the values, it generates and prints the first 25 Leonardo numbers.

#include<stdio.h>

void leonardo(int a,int b,int step,int num){
	
	int i,temp;
	
	printf("First 25 Leonardo numbers : \n");
	
	for(i=1;i<=num;i++){
		if(i==1)
			printf(" %d",a);
		else if(i==2)
			printf(" %d",b);
		else{
			printf(" %d",a+b+step);
			temp = a;
			a = b;
			b = temp+b+step;
		}
	}
}

int main()
{
	int a,b,step;
	
	printf("Enter first two Leonardo numbers and increment step : ");
	
	scanf("%d%d%d",&a,&b,&step);
	
	leonardo(a,b,step,25);
	
	return 0;
}