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
Description
Find the greatest product of five consecutive digits in the 1000-digit number.
Solution
//the string to process
let arrStr = "7316717653133062491922511967442657474235534919493496983520312774506326239578318016984801869478851843858615607891129494954595017379583319528532088055111254069874715852386305071569329096329522744304355766896648950445244523161731856403098711121722383113622298934233803081353362766142828064444866452387493035890729629049156044077239071381051585930796086670172427121883998797908792274921901699720888093776657273330010533678812202354218097512545405947522435258490771167055601360483958644670632441572215539753697817977846174064955149290862569321978468622482839722413756570560574902614079729686524145351004748216637048440319989000889524345065854122758866688116427171479924442928230863465674813919123162824586178664583591245665294765456828489128831426076900422421902267105562632111110937054421750694165896040807198403850962455444362981230987879927244284909188845801561660979191338754992005240636899125607176060588611646710940507754100225698315520005593572972571636269561882670428252483600823257530420752963450"
//the primary function to process the string
let readArrStr arrStr =
let len = String.length arrStr
let arrNum = Array.create len 0
for i=0 to len-1 do
arrNum.[i] <- System.Convert.ToInt32(arrStr.Chars(i).ToString())
for i=0 to len-5 do
arrNum.[i] <- arrNum.[i] * arrNum.[i+1] * arrNum.[i+2] * arrNum.[i+3] * arrNum.[i+4]
Array.max arrNum
//the result
let resultArrStr = readArrStr arrStr
Find the greatest product of five consecutive digits in the 1000-digit number.
Solution
//the string to process
let arrStr = "7316717653133062491922511967442657474235534919493496983520312774506326239578318016984801869478851843858615607891129494954595017379583319528532088055111254069874715852386305071569329096329522744304355766896648950445244523161731856403098711121722383113622298934233803081353362766142828064444866452387493035890729629049156044077239071381051585930796086670172427121883998797908792274921901699720888093776657273330010533678812202354218097512545405947522435258490771167055601360483958644670632441572215539753697817977846174064955149290862569321978468622482839722413756570560574902614079729686524145351004748216637048440319989000889524345065854122758866688116427171479924442928230863465674813919123162824586178664583591245665294765456828489128831426076900422421902267105562632111110937054421750694165896040807198403850962455444362981230987879927244284909188845801561660979191338754992005240636899125607176060588611646710940507754100225698315520005593572972571636269561882670428252483600823257530420752963450"
//the primary function to process the string
let readArrStr arrStr =
let len = String.length arrStr
let arrNum = Array.create len 0
for i=0 to len-1 do
arrNum.[i] <- System.Convert.ToInt32(arrStr.Chars(i).ToString())
for i=0 to len-5 do
arrNum.[i] <- arrNum.[i] * arrNum.[i+1] * arrNum.[i+2] * arrNum.[i+3] * arrNum.[i+4]
Array.max arrNum
//the result
let resultArrStr = readArrStr arrStr
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