Algorithmics & Logical Methods - Recursion

A recursive function that does not have a base case to stop the recursion. It keeps calling itself, never terminating and eventually exceeding the program's memory limits.

A condition in a recursive function that stops the recursion. It's the simplest case of the problem that can be solved directly without further recursion.

A function call that refers to the function itself inside its own definition. Each recursive call works on a simpler version of the problem, moving closer to the base case.

A function that calls itself to solve a smaller version of the same problem until a base case is reached.

An error that occurs when a program tries to use more memory than available in its call stack, typically due to infinite recursion.

The product of an integer and all the positive integers below it.

Breaking down a complex problem into smaller, more easily solvable sub-problems.

Each recursive call must progressively move closer to satisfying the base case

A data structure that stores information about a method's execution, such as its local variables, parameters, and return address.

A Last-In, First-Out (LIFO) data structure used to manage method activation records.

Another name for an activation record; it holds information for a single method call.

Invoking a method in a program.

When a method finishes its execution and returns control to the calling method.

A method that calls itself within its own code.

An error that occurs when a stack has no more space to store new activation records.

A data structure storing data about a method call, including its parameters, variables, and return address.

A recursive method that prints increasing indices until 3 is reached.

The condition in a recursive method where the recursion stops

The condition within a recursive function that determines when to stop calling itself. This ensures the function eventually finishes and prevents infinite recursion.

It calls the 'count' function again, but with the 'index' increased by 1. This is the essence of recursion – a function calling itself with a modified input to solve a smaller part of the problem.

It's placed inside the 'count' function, printing the current value of 'index' before the recursive call. This means it will print the value of 'index' before the recursion proceeds further.

In Variation 2, the print statement has been moved after the recursive call. This means the output will occur in reverse order compared to the original program.

Variation 3 introduces a new condition within the 'count' function. Although it looks very similar to the original program, this change might alter the behavior of the recursion. We need to analyze the new condition to understand its impact.

The new condition, 'if (index < 2)', determines whether the 'count' function should call itself recursively. It will continue to do so until 'index' becomes 2 or greater, at which point it stops.

A recursive function breaks down a problem into smaller, similar sub-problems. It solves each sub-problem using the same logic and eventually reaches a base case that stops the recursion. This allows complex problems to be solved systematically.

The 'count' function is recursive because it calls itself within its own code. It repeatedly calls itself with a modified input parameter, each call working on a slightly different version of the problem until reaching a base case (index < 2).