private int BruteSolve()
{
var maxPerimeter = Sequences.PythagoreanTriplets()
.TakeWhile(x => x.Item1 + x.Item2 + x.Item3 < 1000)
.ToLookup(x => x.Item1 + x.Item2 + x.Item3)
.Aggregate(Tuple.Create(0, 0), (maxes, perimeters) =>
perimeters.Count() > maxes.Item1 ? Tuple.Create(perimeters.Count(), perimeters.Key) : maxes);
return(maxPerimeter.Item2);
}
static Tuple <int, int, int> SolveAbcAddTo1000()
{
foreach (var triplet in Sequences.PythagoreanTriplets())
{
var a = triplet.Item1;
var b = triplet.Item2;
var c = triplet.Item3;
if (a + b + c == 1000)
{
return(new Tuple <int, int, int>(a, b, c));
}
if (a + b + c > 2000)
{
break;
}
}
return(null);
}