⚡ Live Sandbox: AI Dev Tool: AGENTSmd AINative SaaS (prgu)

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```python
# AI Dev Tool: FastAPI Pydantic v2 Micro-SaaS Boilerplate with PostgreSQL Vector Search Extension
# =============================================================================================
# This is a production-ready starter boilerplate for building micro-SaaS applications using FastAPI and Pydantic v2.
# It includes a PostgreSQL Vector Search Extension for efficient searching and filtering of data.

from fastapi import FastAPI, Depends
from fastapi.security import HTTPBearer, HTTPAuthorizationCredentials
from pydantic import BaseModel
from sqlalchemy import create_engine, Column, Integer, String
from sqlalchemy.ext.declarative import declarative_base
from sqlalchemy.orm import sessionmaker
from sqlalchemy.exc import SQLAlchemyError
from psycopg2.extras import Json
import psycopg2
import json

# Initialize FastAPI app
app = FastAPI()

# Initialize PostgreSQL database connection
SQLALCHEMY_DATABASE_URL = "postgresql://user:password@host:port/dbname"
engine = create_engine(SQLALCHEMY_DATABASE_URL)
SessionLocal = sessionmaker(autocommit=False, autoflush=False, bind=engine)

# Define Pydantic models
class User(BaseModel):
    """User model"""
    id: int
    name: str
    email: str

class Item(BaseModel):
    """Item model"""

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