A scripted apples example comparing an incorrect direct answer of 27 with a correct worked calculation: 23 minus 20 plus 6 equals 9. No model runs in this widget, and the examples do not establish that reasoning always improves an answer.

Room to think

Two scripted responses to one question: a wrong direct answer and a correct worked answer. No model is running here. The example illustrates how an intermediate result can support a later step.

pretraining

predict the next word

post-training

follow + prefer

answer-time

spend compute thinking

prompt

The cafeteria had 23 apples. They used 20 to make lunch and bought 6 more. How many apples do they have?
Let us think step by step.
scripted example

output

The worked example carries 23 − 20 = 3 forward into 3 + 6 = 9. A real model can answer directly and correctly, or write incorrect reasoning. These fixed examples illustrate the format; they are not an accuracy comparison.