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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 #9

Description

  • A Pythagorean triplet is a set of three natural numbers, a  b  c, for which, a2 + b2 = c2
  • For example, 32 + 42 = 9 + 16 = 25 = 52.
  • There exists exactly one Pythagorean triplet for which a + b + c = 1000.
  • Find the product abc.

Solution

let triplets start last =
    seq {for i in start..last do
            for j in start..last do
                yield (float i,float j, sqrt(float((i*i) + (j*j))))}

//functions to get at tuple elemets, instead of matching
let first (x,y,z) = x
let second (x,y,z) = y
let third (x,y,z) = z

let pythTriple1000_2 =
    let values = triplets 1 1000 |> Seq.filter (fun x -> first(x) < second(x))
    let filter = values |> Seq.filter (fun x -> first(x) + second(x) + third (x) = float 1000)
    let result = filter |> Seq.map( fun x -> first(x) * second(x) * third (x))
    (Seq.toArray result).[0]
  

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