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enter image description here

The puzzle writer has named it “Twins and Triplets” but I believe that this might be an alias for the actual name of the puzzle. The premise behind it seems too simple for it not to already exist. I have scoured the web looking for examples but could not find any. Has anyone seen any logic puzzle like it before?

Image Source: Picture of hard copy from AOPS organization

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    $\begingroup$ Geronimo, I think you'll be quite interested in Problem 1, Round 1 of USAMTS 2017-18: usamts.org/Tests/Problems_29_1.pdf $\endgroup$ Commented Jun 8, 2019 at 23:50
  • $\begingroup$ @greenturtle3141 Wow you actually found an example! This truly is interesting because I received this type of puzzle from an organization called AOPS (Art of Problem Solving), a competitive math website, so it makes sense that the puzzle writer was inspired by a national competition. Thank you so much for your help! Let me know if you find anything else. $\endgroup$ Commented Jun 9, 2019 at 3:22
  • $\begingroup$ @GeronimoFTW I'm an active AOPS member, what exactly is the association with aops? Is it like from a book, or did they just send it to you? $\endgroup$ Commented Jun 9, 2019 at 3:47
  • $\begingroup$ @greenturtle3141 I only know that the writer of "Twins and Triplets" works at AOPS. Apparently USAMTS is also hosted by AOPS? Quite the coincidence. $\endgroup$ Commented Jun 9, 2019 at 4:10
  • $\begingroup$ @GeronimoFTW It's possible that the writer of the puzzle may be a writer of USAMTS. $\endgroup$ Commented Jun 9, 2019 at 4:14

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Every instance of this type mentioned here, including the USAMTS problem and your screenshot, was written by me. You can also see my contributions GM puzzles, which is the best place to go if you're interested in doing more of these, though it's not free. The original source was me trying to come up with something for a puzzle-starved counting chapter in Beast Academy Online, which is yet another source of content, albeit with elementary school level constructions, and also not free.

I had the same reaction you did when I came up with it and realized it was WPC level: why haven't I seen this type before?

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    $\begingroup$ Welcome to Puzzling! Glad to have you here :) $\endgroup$
    – Rubio
    Commented Jun 10, 2019 at 21:33

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