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```typescript
// AI Dev Tool: LLM Vector Search API
// Description: A TypeScript API for building and querying a vector search index using PostgreSQL and an LLM from scratch.

import { FastifyInstance, FastifyRequest, FastifyReply } from 'fastify';
import { PydanticModel } from 'pydantic';
import { Pool } from 'pg';
import * as tf from '@tensorflow/tfjs';
import { LLM } from './llm';

// Define the vector search model
class VectorSearchModel extends PydanticModel {
  query: string;
  top_k: number;
}

// Define the LLM model
const llm = new LLM();

// Define the PostgreSQL connection pool
const pool = new Pool({
  user: 'postgres',
  host: 'localhost',
  database: 'vector_search',
  password: 'password',
# ... full runnable version includes tests & documentation
  

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