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```python
# AI Dev Tool: PostgreSQL Vector Search Extension with Hono Cloudflare Workers D1 Starter
# Description: A production-ready developer code asset for building scalable vector search applications
# Category: Production Starter Boilerplate

import os
import json
from typing import Dict, List
from fastapi import FastAPI, HTTPException
from fastapi.responses import JSONResponse
from fastapi.requests import Request
from fastapi.middleware.cors import CORSMiddleware
from hono import Hono
from postgresql_vector_search import PostgreSQLVectorSearch

# Initialize the FastAPI application
app = FastAPI()

# Enable CORS for cross-origin requests
app.add_middleware(
    CORSMiddleware,
    allow_origins=["*"],
    allow_credentials=True,
    allow_methods=["*"],
    allow_headers=["*"],
)

# Initialize the Hono Cloudflare Workers D1 Starter
hono = Hono()

# Initialize the PostgreSQL Vector Search Extension
vector_search = PostgreSQLVectorSearch(
    host=os.environ.get("POSTGRESQL_HOST"),
    database=os.environ.get("POSTGRESQL_DATABASE"),
    user=os.environ.get("POSTGRESQL_USER"),
    password=os.environ.get("POSTGRESQL_PASSWORD"),
)

# Define the API endpoint for vector search
@app.post

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