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A search algorithm can efficiently explore the space of possible output sequences to generate a set of candidate solutions. This set of candidate solutions is formally represented as $$\mathcal{D}_c = \{\mathbf{y}_1, ..., \mathbf{y}_K\}$$, where each $$\mathbf{y}$$ represents an individual candidate solution.

Formula for a Candidate Solution Set

Given the formal representation of a set of potential solutions, $\mathcal{D}_c = \{\mathbf{y}_1, ..., \mathbf{y}_K\}$, match each symbol to its correct description.

A chatbot is programmed to generate four distinct potential answers to a customer's question. Using the standard formal notation, write the expression that represents this specific set of four candidate solutions.

Representing a Set of Generated Textual Responses

A language model is used to generate potential summaries for a long document. The model produces 5 different summaries for consideration. If this collection of summaries is treated as a set of candidate solutions, which expression below correctly represents this specific set?

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