Recursion is a concept in which method calls itself. Every recursive method needs to be terminated, therefore, we need to write a condition in which we check is the termination condition satisfied. If we don’t do that, a recursive method will end up calling itself endlessly.
Example 1: Create an application which calculates the sum of all the numbers from n to m recursively:
C#
class Program
{
public static int CalculateSumRecursively(int n, int m)
{
int sum = n;
class Program
{
public static int CalculateSumRecursively(int n, int m)
{
int sum = n;
if(n < m)
{
n++;
return sum += CalculateSumRecursively(n, m);
}
return sum;
}
static void Main(string[] args)
{
Console.WriteLine("Enter number n: ");
int n = Convert.ToInt32(Console.ReadLine());
Console.WriteLine("Enter number m: ");
int m = Convert.ToInt32(Console.ReadLine());
int sum = CalculateSumRecursively(n, m);
Console.WriteLine(sum);
Console.ReadKey();
}
}
Code Explanation
The method CalculateSumRecursively
is our recursive method that calculates the sum of the numbers from n
to m
. The first thing we do is to set our sum
to the value of n
. Then, we check if the value of n
is less than the value of m
. If it is, we increase the value of n
by 1 and add to our sum
a result of the same method but with the increased n
. If it is not, we just return the value of the sum
variable.
The C# will reserve memory storage for every recursive method so that the values from the previous method are not overridden.
So let’s see our example through the diagram:
The C# will reserve memory storage for every recursive method so that the values from the previous method are not overridden.
So let’s see our example through the diagram:
Additional Example
Let’s practice some more with the Example2: Create an application which prints out how many times the number can be divided by 2 evenly:
if(number > 0 && number % 2 == 0)
{
count++;
number /= 2;
return count += CountDivisions(number);
}
return count;
}
static void Main(string[] args)
{
Console.WriteLine("Enter your number: ");
double number = Convert.ToDouble(Console.ReadLine());
int count = CountDivisions(number);
Console.WriteLine($"Total number of divisions: {count}");
Console.ReadKey();
}
Now we have a good knowledge of recursion and recursive methods.