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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 19

Description

You are given the following information, but you may prefer to do some research for yourself.

  • 1 Jan 1900 was a Monday.
  • Thirty days has September, April, June and November.
  • All the rest have thirty-one, saving February alone, Which has twenty-eight, rain or shine.
  • And on leap years, twenty-nine.
  • A leap year occurs on any year evenly divisible by 4, but not on a century unless it is divisible by 400.

How many Sundays fell on the first of the month during the twentieth century (1 Jan 1901 to 31 Dec 2000)?

Solution

Although this solves the problem in a fairly straightforward way, it is not in the spirit of the problem, which I assume requires logic using match to calculate the number of days.  I simply used the built-in DateTime library of .NET

let rec IterateDays (startDate:System.DateTime) (endDate:System.DateTime) counter =
    if startDate > endDate then
        counter
    else
        if (startDate.DayOfWeek.ToString() = "Sunday" && startDate.Day = 1) then
               IterateDays (startDate.AddDays(1.0)) endDate (counter+1)
        else
               IterateDays (startDate.AddDays(1.0)) endDate counter

let dateTest =   IterateDays (DateTime(1901,01,01)) (DateTime(2000,12,31)) 0

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