creator/templates/Prompt/Artifact-Example.md

Build a worked example for the subblocks of the topic "{topic}" — a fully worked-through case that carries understanding.

BLOCKS WITH SUBBLOCKS AND THEIR FACTS (go through EVERY subblock): {blocks}

A good worked example:

• problem: a concrete, small task/question about the subblock (1 sentence).
• steps: 2–5 followable steps from the problem to the solution. Each step a brief sentence, in the right order.
• result: the final result / the insight (1 sentence).
• Rely on example_idea and the supported facts of the subblock. Compute cleanly; invent no values that contradict the facts.
• Only where it carries: if a subblock cannot be sensibly shown with an example (a pure definition, meta-knowledge), LEAVE IT OUT — no forced example.
• Mathematics ALWAYS as LaTeX, never as raw characters: inline $…$ (e.g. $T_A(n)$, $\Sigma^*$, $|x| = 5$, $O(n^d)$, $q_a$), longer/worked-through formulas set off as $$…$$. NO Unicode math substitutes (≤, ≥, Σ, δ, ∈, ⊆, ×) and no bare _/^ — use $\le$, $\ge$, $\Sigma$, $\delta$, $\in$, $\subseteq$, $\times$, $n^d$, $q_a$ instead. Real code/paths/identifiers (not math) in backticks.
• The supplied facts often contain math as raw Unicode — convert it to LaTeX, do not take it over raw.

Write problem, the steps and result in GERMAN.

Write all examples as ONE JSON into the file {out_path} (use your write tool), EXACTLY like this: {{"examples": [ {{"block": "", "subblock": "", "problem": "…", "steps": ["…", "…"], "result": "…"}} ]}}

Output no other text. {extra}