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Microsoft Azure Notebooks - Live code - F#, R, and Python

I was exploring Jupyter notebooks , that combines live code, markdown and data, through Microsoft's implementation, known as MS Azure Notebooks , putting together a small library of R and F# notebooks . As Microsoft's FAQ for the service describes it as : ...a multi-lingual REPL on steroids. This is a free service that provides Jupyter notebooks along with supporting packages for R, Python and F# as a service. This means you can just login and get going since no installation/setup is necessary. Typical usage includes schools/instruction, giving webinars, learning languages, sharing ideas, etc. Feel free to clone and comment... In R Azure Workbook for R - Memoisation and Vectorization Charting Correlation Matrices in R In F# Charnownes Constant in FSharp.ipynb Project Euler - Problems 18 and 67 - FSharp using Dynamic Programming
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Project Euler - Problem #20

Description

  • n! means n  (n  1)  ...  3  2  1
  • Find the sum of the digits in the number 100!

Solution


//required library to handle very large numbers
open System.Numerics


//recursive factorial
let rec factorialTailBigInt (n:BigInteger) : BigInteger =
    if n <= 1I then 
        1I
    else
        n * factorialTailBigInt (n - 1I)


//primary process
let sumFactorial = 
    let resFactorialBigInt = factorialTailBigInt 100I
    let strCharFactorial = resFactorialBigInt.ToString()
    let max = strCharFactorial.Length
    let arrNum = Array.create max 0    
    for i=0 to max-1 do
        arrNum.[i] <- System.Convert.ToInt32(strCharFactorial.Chars(i).ToString())
    Array.sum arrNum

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