Comment by johnfn

Gemini did not one-shot these answers; it did its thinking elsewhere (probably not released by Google) and then it consolidated it down into what you see in the PDF. From the article:

> We achieved this year’s result using an advanced version of Gemini Deep Think – an enhanced reasoning mode for complex problems that incorporates some of our latest research techniques, including parallel thinking. This setup enables the model to simultaneously explore and combine multiple possible solutions before giving a final answer, rather than pursuing a single, linear chain of thought.

I don't see any parallel thinking, e.g., so that was probably elided in the final results.