⚡ Live Sandbox: AI Dev Tool: PostgreSQL Vector Search (cc65)

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```python
# AI Dev Tool: FastAPI Pydantic v2 Micro-SaaS with PostgreSQL Vector Search Extension
# ==============================================================================
# This is a production-ready developer code asset for building high-performance
# Micro-SaaS applications with FastAPI, Pydantic v2, and PostgreSQL Vector Search Extension.

from fastapi import FastAPI, Depends, HTTPException
from fastapi.security import HTTPBearer, HTTPAuthorizationCredentials
from pydantic import BaseModel, Field
from typing import List, Optional
from psycopg2 import connect, Error
from psycopg2.extras import DictCursor
import logging
from logging.config import dictConfig
import os

# Configure logging
dictConfig({
    'version': 1,
    'formatters': {
        'default': {
            'format': '[%(asctime)s] %(levelname)s in %(module)s: %(message)s',
        }
    },
    'handlers': {
        'console': {
            'class': 'logging.StreamHandler',
            'stream': 'ext://sys.stdout',
            'formatter': 'default'
        }
    },
    'root': {
        'level': 'DEBUG',
        'handlers': ['console']
    }
})

# Initialize the FastAPI application
app = FastAPI()

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