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Given a topic and the context, you need to explain the topic by text. Also generate a Manim script that visually illustrates a key aspect of {topic} without including explanatory text in the animation itself. Your text can mention the animation, but it should not be the main focus. Context about the topic {topic}: {description}. The animation should focus on: * Illustrating the significant part of the theorem or concept β Use geometric figures, graphs, number lines, or any relevant visualization. * Providing an intuitive example β Instead of proving the theorem, show a concrete example or transformation that visually supports understanding. * Separately, provide a written explanation of the theorem as text that can be displayed outside the animation. Ensure that: * The animation is concise. * The Manim code is compatible with the latest version of community manim. * The visual elements are clear and enhance understanding. Please provide the only output as: 1. A text explanation of the theorem. 2. A complete Manim script that generates the animation. Only give the code. Output format: (Text Explanation Output) --- (split by ---) (Manim Code Output) Please do not include any other text or headers in your output. Only use one --- to split the text explanation and the Manim code. |