Skip to content

Instantly share code, notes, and snippets.

@monkieboy
Last active August 29, 2015 14:16
Show Gist options
  • Star 0 You must be signed in to star a gist
  • Fork 0 You must be signed in to fork a gist
  • Save monkieboy/a473a3576ab075fa36c1 to your computer and use it in GitHub Desktop.
Save monkieboy/a473a3576ab075fa36c1 to your computer and use it in GitHub Desktop.
//F#:
open System
let mutable result = [4.0]
let problem29 a =
for i in [2.0..a] do
for e in [2.0..a] do
result <- Math.Pow(i, e)::result
Seq.distinct result |> Seq.length;;
//C#:
class Program
{
static void Main(string[] args)
{
var timer = new Stopwatch();
timer.Start();
var firstList = new List<double>();
Enumerable
.Range(2, 99)
.ToList()
.ForEach(i => Enumerable
.Range(2, 99)
.ToList()
.ForEach(e => firstList.Add(Math.Pow(i, e))));
Console.WriteLine(firstList.Distinct().ToList().Count);
timer.Stop();
Console.WriteLine(@"Euler 29 took {0}ms to solve.", timer.ElapsedMilliseconds);
Console.ReadKey();
}
}
@monkieboy
Copy link
Author

Distinct powers
Problem 29
Consider all integer combinations of ab for 2 ≤ a ≤ 5 and 2 ≤ b ≤ 5:

22=4, 23=8, 24=16, 25=32
32=9, 33=27, 34=81, 35=243
42=16, 43=64, 44=256, 45=1024
52=25, 53=125, 54=625, 55=3125
If they are then placed in numerical order, with any repeats removed, we get the following sequence of 15 distinct terms:

4, 8, 9, 16, 25, 27, 32, 64, 81, 125, 243, 256, 625, 1024, 3125

How many distinct terms are in the sequence generated by ab for 2 ≤ a ≤ 100 and 2 ≤ b ≤ 100?

Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment