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Claude Opus 4.6 and Sonnet 4.6 support extended thinking mode, where the model explicitly reasons through problems step-by-step before answering. Enable it with `thinking: {type: 'enabled', budget_tokens: 10000}`. This dramatically improves accuracy on math, logic puzzles, and multi-constraint problems.

Challenge: Present an LLM with a classic logic puzzle (e.g., an Einstein Riddle or a Knights and Knaves puzzle). Ask it to solve the puzzle and explain its reasoning step-by-step.

Emergent abilities are phenomena where AI models suddenly demonstrate new, unpredictable skills once they reach a certain scale (i.e., more parameters and training data). These abilities are not explicitly programmed but emerge from the model's complexity, such as performing arithmetic or answering logic puzzles.