23
$\begingroup$

Place the 18 even integers between 2 and 36 in the empty nodes of this triangular graph in such a way that if a path is drawn by coloring in red all the edges joining any two nodes whose numbers add up to a square, that path, beginning at 1, will visit every node precisely once, and finally connect back with 1.

enter image description here

$\endgroup$

1 Answer 1

16
$\begingroup$

There are a few nodes that can be linked together immediately, giving us a good starting point:

Most of those starting links are on the bottom half of the triangle, so that's where I started. Specifically, I was quickly able to fill in the bottom-right:

Followed by the rest of the bottom:

The next bit threw me briefly, but I managed to figure out the placement of the numbers and joined back up with the start point:

And from there, with only a few numbers remaining, it was easy to fill in the rest, leaving us with the final path:

$\endgroup$
4
  • 1
    $\begingroup$ LOL at the fact you're doing this at work! $\endgroup$
    – Phylyp
    May 15, 2018 at 17:00
  • 2
    $\begingroup$ My shift was nearly over, and I'd spent most of the day bashing my head against three separate brick walls. This was actually quite relaxing. $\endgroup$
    – F1Krazy
    May 15, 2018 at 18:38
  • 4
    $\begingroup$ Doing puzzles at work and bashing your head against walls? Let me guess, you are a programmer. $\endgroup$ May 15, 2018 at 18:51
  • 1
    $\begingroup$ @GustavoGabriel Yep. You'd be surprised how many of my answers were written while I was at work... or maybe you wouldn't, idk. $\endgroup$
    – F1Krazy
    May 15, 2018 at 19:11

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.