# Recursion

This Go program demonstrates a simple factorial function and a recursive Fibonacci function.

```go
// Importing the "fmt" package, which provides functions for formatted I/O.
import "fmt"

// Function fact calculates the factorial of an integer using recursion.
func fact(n int) int {
    // Base case: factorial of 0 is 1.
    if n == 0 {
        return 1
    }

    // Recursive case: n! = n * (n-1)!
    return n * fact(n-1)
}

// The main function, which serves as the entry point for the program.
func main() {
    // Printing the factorial of 7 using the fact function.
    fmt.Println(fact(7))

    // Declaring a variable fib as a function type that takes an integer parameter and returns an integer.
    var fib func(n int) int

    // Assigning a recursive anonymous function to the fib variable.
    fib = func(n int) int {
        // Base cases: Fibonacci of 0 is 0, and Fibonacci of 1 is 1.
        if n < 2 {
            return n
        }

        // Recursive case: fib(n) = fib(n-1) + fib(n-2)
        return fib(n-1) + fib(n-2)
    }

    // Printing the 7th Fibonacci number using the fib function.
    fmt.Println(fib(7))
}
```

#### Output

```
040
13
```

Now, let's break down the code and explain each part:

1. **Function Declarations:**
   * `fact(n int) int`: This function calculates the factorial of an integer `n` using recursion.
2. **Main Function:**
   * `main()`: This is the entry point of the program.
   * `fmt.Println(fact(7))`: Calls the `fact` function and prints the factorial of 7.
   * Declares a variable `fib` as a function type that takes an integer parameter and returns an integer.
   * `fib = func(n int) int { ... }`: Assigns a recursive anonymous function to the `fib` variable.
   * `fmt.Println(fib(7))`: Calls the `fib` function and prints the 7th Fibonacci number.


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