Find the greatest product of five consecutive digits in the 1000-digit number.
open System.IO let numbers = File.ReadAllLines(@"C:\TEMP\euler8.txt") |> Seq.concat |> Seq.map (fun c -> int32(c.ToString())) let CalcProduct numbers = numbers |> Seq.fold (fun acc n -> acc * n) 1 let maxProduct = numbers |> Seq.windowed(5) |> Seq.map (fun n -> CalcProduct n) |> Seq.max
To get the 1000 digits into the program, I copied and pasted the digits into a text file and saved it to C:\TEMP\euler8.txt.
Here you see an example of how you can use the File.ReadAllLines static method to read the contents of a text into a string array in F#. However, a string array doesn’t really help us here, so I used the Seq.concat function to merge them into a char array because mapping each char into the integer it represents.
Two things to note here:
1) why does Seq.concat return a char array as opposed to a string?
Because a string can be treated as a char in the same way that a Dictionary<T, V> can be treated as an IEnumerable<KeyValuePair<T, V> > and iterated as such when passed into a method which takes a IEnumerable<KeyValuePair<T, V> > as argument.
Looking at the signature of the Seq.concat function, it takes a seq<‘T list> (a sequence of lists of T, i.e. IEnumerable<IEnumerable<T> >) as argument and therefore the string is interpreted as IEnumerable<IEnumerable<char> > and concatenated into IEnumerable<char>.
The same is applied to all the List/Array/Seq functions when used on a string.
2) why is ToString() needed when casting a char to int32?
Because int32(char) will give you the unicode value of that char! For example,
int32('c') // this is legal and returns 99 int32("c") // this is illegal int32('1') // this returns 49 int32("1") // this returns 1
Moving on, the next line defines a helper function which takes a list of numbers and multiply them together, i.e [x; y; z] => x * y * z. I have done this with the Seq.fold function which applies a function to each element of the list whilst keeping an accumulator throughout, similar to the Enumerable.Aggregate method in Linq. In this particular case, the accumulator starts off at 1, and iteratively multiplied by the elements in the list:
let CalcProduct numbers = numbers |> Seq.fold (fun acc n -> acc * n) 1
It’s worth noting that this function will return 1 if used on an empty array which is not the correct behaviour, but for the purpose of solving the problem at hand it can be safely assumed that this will never happen.
Finally, in the last part of the solution, you will notice yet another new function Seq.windowed, which iterates through the elements in the list yielding a sliding windows of 5 elements:
numbers |> Seq.windowed(5);; val it : seq<int32 > = seq [[|7; 3; 1; 6; 7|]; [|3; 1; 6; 7; 1|]; [|1; 6; 7; 1; 7|]; [|6; 7; 1; 7; 6|]; ...]
I then calculate the product for each of the 5 digit arrays and find the greatest product:
|> Seq.map (fun n -> CalcProduct n) |> Seq.max
Enjoy what you’re reading? Subscribe to my newsletter and get more content on AWS and serverless technologies delivered straight to your inbox.
I’m an AWS Serverless Hero and the author of Production-Ready Serverless. I have run production workload at scale in AWS for nearly 10 years and I have been an architect or principal engineer with a variety of industries ranging from banking, e-commerce, sports streaming to mobile gaming. I currently work as an independent consultant focused on AWS and serverless.
In this course, we’ll cover everything you need to know to use AWS Step Functions service effectively. Including basic concepts, HTTP and event triggers, activities, design patterns and best practices.
Here is a complete list of all my posts on serverless and AWS Lambda. In the meantime, here are a few of my most popular blog posts.
- Lambda optimization tip – enable HTTP keep-alive
- You are thinking about serverless costs all wrong
- Many faced threats to Serverless security
- We can do better than percentile latencies
- I’m afraid you’re thinking about AWS Lambda cold starts all wrong
- Yubl’s road to Serverless
- AWS Lambda – should you have few monolithic functions or many single-purposed functions?
- AWS Lambda – compare coldstart time with different languages, memory and code sizes
- Guys, we’re doing pagination wrong