Not the longest, but I had it split into 2 answers, and ask me to pick one, which I preferred.
One was simple, straightforward, and gave all the codes, left nothing empty.
The other was a little more vague, left some spaces for me to fill out here and there, but it was more logical and whole.
I picked the 2nd method.
And after that, it continued to explain in this method which was quite fascinating.
But I kind of regret that because now I gotta fill out a bunch of empty spaces.
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I am starting to ponder if optimization problems are one of the task that require more thinking time with o1 models. Also task that require multiple different areas of thought such as with the Excel problem.
Here is one that took 146 seconds; your record of 168 still holds.
The first prompt was to create the problem, solving the problem in the second prompt took 146 seconds of thought.
For more info on this puzzle it is known as a Zebra Puzzle - Wikipedia
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Here is an interesting prompt where the older models were sufficient but the o1 model vastly improved the chat.
If you try the prompt with some older models you will see how the o1 model improved the chat.
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