Dozen eggs carton count

1. Twelve slots and twelve eggs, in a 2 × 6 carton. A 3 × 4, a 2 × 5 or an empty slot is a miss.
2. Three brown eggs, nine white. Count the brown ones.
3. One cracked egg, and it is white. No crack, two cracks, or a cracked brown egg are separate misses.
4. Top-down, kitchen counter, no text. Printed words or a brand on the carton lid count as text.

On the models. Nano Banana 2.1 and Nano Banana 2 emit image and text and run as ordinary chat models; Seedream and the Flux models emit only an image and go through OpenRouter's images endpoint. Nano Banana 2.1 thinks at minimal effort by default; a round run at high is a separate round and says so in its batch label.