Project Euler : Problem 014

Project Euler problems in Oforth . Feel free to post your own code.

Project Euler : Problem 014

Postby Franck » 01 Aug 2015 16:48

The following iterative sequence is defined for the set of positive integers:

n → n/2 (n is even)
n → 3n + 1 (n is odd)

Using the rule above and starting with 13, we generate the following sequence:
13 → 40 → 20 → 10 → 5 → 16 → 8 → 4 → 2 → 1

It can be seen that this sequence (starting at 13 and finishing at 1) contains 10 terms. Although it has not been proved yet (Collatz Problem), it is thought that all starting numbers finish at 1.

Which starting number, under one million, produces the longest chain?

NOTE: Once the chain starts the terms are allowed to go above one million.

Code: Select all
: collatz(n)      // ( n -- n ) : Returns collatz length of integer n
{
   1 while(n 1 <>) [ 1 + n dup isEven ifTrue: [ 2 / ] else: [ 3 * 1 + ] ->n ]
}
 
: pe014(n)        // ( n -- aPair ) : Returns number under n that produce the longest chain
{
   n seq map(#[ dup collatz Pair new]) maxFor(#first)
}
Franck
 
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Joined: 29 Oct 2014 19:01

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