Project Euler Forum

Hi,

Project euler is not accepting my answers for this problem and I can't immediately see a bug in my program or my reasoning so perhaps I have understood the problem wrong.

Some questions:
Are (a=7, b=24 and c=25) and (a=24, b=7 and c=25) considered different perfect right-angled triangles ?
Are degenerate triangles like (a=0, b = 4 and c = 4) considered perfect right-angled triangles, and if so are they super perfect (i guess not, since i consider 0 a multiple of 6 and 28))
Why do they say that a super perfect triangle must have an area being a multiple of 6 and 28? Does that not mean that the area is a multiple of lcm(6,28)=84 ? Or is a perfect triangle allready super perfect is its area is a multipe of 6 OR a multiple of 28 ?

Kind regards,

Michael

Seeing that you only solved 4 problems, why not try others you understand first?

a, b, and c are not mentioned in the definition of a triangle. Two right angle triangles are equivalent if they have the same sides.

A degenerate triangle is not a triangle.

6 and 28 means 6 and 28 (surprisingly ), not 6 or 28.

TripleM wrote:a, b, and c are not mentioned in the definition of a triangle. Two right angle triangles are equivalent if they have the same sides.

A degenerate triangle is not a triangle.

6 and 28 means 6 and 28 (surprisingly ), not 6 or 28.

Thanks for the clarification but I solved the problem in the meanwhile.
I had an overflow in my program.
I suppose I got frustrated with the problem and that's why I asked stupid questions.
My apologies to anyone I annoyed with my clarification request.
Kind regards,

Michael

I should like to have problem 218 defined a bit clearer. I might be wrong but I do not consider the triangle (7,24,25) to be acceptable. Do you say that 84 is a multiple of 6 and 28? I thought that such a number should be
n = 6**s * 28**t

It means that 6|n and 28|n.

28 * 3 = 84 = 6 * 14

So 84 is a multiple of 6 and 28

Perhaps I'm being stupid, but I think I've solved this question.

However, when I submit my answer I don't get the success/failure page, but the website takes me straight back to the problem page instead. If I change my answer to something else I *do* get the error page.

Can anyone confirm/deny this or alternatively offer to check my answer?

Thanks,

Konrad

Do you suppress sending the referer as described here?
If this does not solve your problem, you can PM me your answer.

Konrad127123 wrote:Can anyone confirm/deny this or alternatively offer to check my answer?

Thanks,

Konrad

Your answer is correct.

Long time no see.

I have a small suggestion to clarify the wording of Problem 218 (View Problem).

We will call a right angled triangle perfect if
-it is a primitive right angled triangle
-its hypotenuse is a perfect square

We will call a right angled triangle super-perfect if
-it is a perfect right angled triangle and
-its area is a multiple of the perfect numbers 6 and 28.

In both definitions both conditions are necessary, but only the second one has the word "and" between them. For consistency, I think it'd be good to add it to the first definition as well:

We will call a right angled triangle perfect if
-it is a primitive right angled triangle and
-its hypotenuse is a perfect square

We will call a right angled triangle super-perfect if
-it is a perfect right angled triangle and
-its area is a multiple of the perfect numbers 6 and 28.

I've solved 4 problems this week without much difficulty and remember trying each one of them a year ago and failing. I hope to get back to 100% soon.

Welcome back

Would it be possible to have an example of a perfect, not super-perfect right angled triangle?

They're meant to be quite hard to find - seeing an example would probably be quite a big hint as to the underlying pattern, so I think it's best you keep working on it yourself