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  • So one of my favorite puzzles that I would do when I was a little kid is called a nonogram, where you're given an empty grid, and then some numerical clues that tell you which squares in the grid you have to fill in.

  • I thought we could have the model play a little game where it first generates a puzzle to solve, then we ask another instance of the model to try to solve the problem that it generated.

  • So, yeah, I'll ask it, generate, say, a 5x5 nonogram, where the final answer is the letter M.

  • We'll see what it comes up with.

  • All right, we see it just gave us a little puzzle.

  • We'll go ahead and copy this, open up another window of O1, ask it, solve the following puzzle, and let's say, visualize the answer in some pretty way, why not?

  • This puzzle doesn't look like it's too hard, but the way that a nonogram works is for each list of numbers, and the numbers tell you how many squares are filled in, and if the squares are consecutive, then you'll see a 2.

  • For two consecutive squares, if there's a space between them, you'll see a 1, 1.

  • And so you're supposed to just try to figure out which squares do I indeed have to fill in, and it looks like the model got this right.

  • It illustrated a nice little letter M.

  • But I think one of the things that is nice about examples like this is it's similar to Sudoku or a crossword, for example, where you have to make a guess and then see if that's a right guess or a wrong guess, and then backtrack if you get it wrong.

  • And so any type of task where you have to search through a space where you have different pieces pointing in different directions, but there are mutual dependencies, so you might get a bit of information that tells you that these two pieces contradict each other.

  • A model like O1 is really good at trying to refine the search space here.

So one of my favorite puzzles that I would do when I was a little kid is called a nonogram, where you're given an empty grid, and then some numerical clues that tell you which squares in the grid you have to fill in.

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Math with OpenAI o1

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    fpl98466 posted on 2024/09/21
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