import scala.collection.mutable.Map;
object Euler14 extends Application {
var seen :Map[Long,Int] = Map();
def iterate (value :Long) :Int = {
val seenlen :Option[Int] = seen.get(value);
if (seenlen != None) {
return seenlen.get;
} else if (value == 1) {
return 1;
} else if (value % 2 == 0) {
val newlen = iterate(value/2)+1;
seen.put(value, newlen);
return newlen;
} else {
val newlen = iterate(3*value+1)+1;
seen.put(value, newlen);
return newlen;
}
}
var longest = List.range(1, 1000000).map((n) => (Pair(n, iterate(n)))).foldLeft(Pair(0, 0))(
(lpair, pair) => (if (lpair._2 > pair._2) lpair else pair));
println(longest._1);
}
Because any given number will always converge to 1 in the same number of steps, once you reach a number for which you’ve already calculated the distance to 1 you can simply tack the previously calculated distance onto your current solution and Bob is your proverbial uncle.