⚡ Live Sandbox: AI Dev Tool: Rust WebAssembly Edge (sf30)

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

from fastapi import FastAPI, HTTPException
from pydantic import BaseModel
from typing import List
import psycopg2
import psycopg2.extras
from psycopg2 import Error

# Initialize FastAPI app
app = FastAPI()

# Define Pydantic model for vector search
class VectorSearchModel(BaseModel):
    """Vector search model"""
    query: str
    limit: int = 10

# Define PostgreSQL connection settings
POSTGRES_HOST = "localhost"
POSTGRES_DB = "mydb"
POSTGRES_USER = "myuser"
POSTGRES_PASSWORD = "mypassword"

# Establish PostgreSQL connection
def get_postgres_connection():
    """Establish PostgreSQL connection"""
    try:
        return psycopg2.connect(
            host=POSTGRES_HOST,
            database=POSTGRES_DB,
            user=POSTGRES_USER,
            password=POSTGRES_PASSWORD
        )
    except Error as e:
        print(f"Error connecting

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