Step by Step solution about How to resolve the algorithm Cullen and Woodall numbers step by step in the Haskell programming language

This Haskell code does the following:

1. findCullen :: Int -> Integer is a function that takes an integer n as input and returns the n-th Cullen number. The Cullen number is defined as n * 2 ^ n + 1.

2. cullens :: [Integer] is a list of the first 20 Cullen numbers.

3. woodalls :: [Integer] is a list of the first 20 Woodall numbers. The Woodall number is defined as a Cullen number minus 2.

4. main :: IO () is the main function of the program. It prints the first 20 Cullen numbers and the first 20 Woodall numbers to the console.

Here is a step-by-step explanation of the code:

1. The findCullen function takes an integer n as input.

2. The findCullen function then converts n to an integer using the toInteger function.

3. The findCullen function then calculates the n-th Cullen number using the formula n * 2 ^ n + 1.

4. The cullens list is created by mapping the findCullen function over the range of integers from 1 to 20.

5. The woodalls list is created by mapping a lambda function over the cullens list. The lambda function subtracts 2 from each Cullen number to get the corresponding Woodall number.

6. The main function prints the first 20 Cullen numbers and the first 20 Woodall numbers to the console.

findCullen :: Int -> Integer
findCullen n = toInteger ( n * 2 ^ n + 1 )

cullens :: [Integer]
cullens = map findCullen [1 .. 20]

woodalls :: [Integer]
woodalls = map (\i -> i - 2 ) cullens

main :: IO ( )
main = do
   putStrLn "First 20 Cullen numbers:"
   print cullens
   putStrLn "First 20 Woodall numbers:"
   print woodalls