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```python
# AI Dev Tool: TurboPostgres - 300x Faster Postgres Analytics
# ==============================================================================
# A high-performance Postgres analytics booster using batching, operator fusion, and SIMD
# ==============================================================================
import os
import psycopg2
import numpy as np
from typing import List, Tuple

# Database Connection Settings
DB_HOST = os.environ.get('DB_HOST', 'localhost')
DB_PORT = int(os.environ.get('DB_PORT', 5432))
DB_USER = os.environ.get('DB_USER', 'postgres')
DB_PASSWORD = os.environ.get('DB_PASSWORD', 'postgres')
DB_NAME = os.environ.get('DB_NAME', 'postgres')

# Create a database connection
def create_db_connection() -> psycopg2.connection:
    """Create a Postgres database connection"""
    return psycopg2.connect(
        host=DB_HOST,
        port=DB_PORT,
        user=DB_USER,
        password=DB_PASSWORD,
        dbname=DB_NAME
    )

# Batched Query Execution
def execute_batched_query(conn: psycopg2.connection, query: str, batch_size: int = 1000) -> List[Tuple]:
    """Execute a batched query on the Postgres database"""
    cur = conn.cursor()
    results = []
    while True:
        cur
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