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```python
# AI Dev Tool: LiteLLM Navier-Stokes API Integration Wrapper
# Description: A production-ready API integration wrapper for LiteLLM and Navier-Stokes
# Author: [Your Name]

import os
import requests
from typing import Dict, List
from pydantic import BaseModel

# Define the Navier-Stokes API endpoint and credentials
NAVIER_STOKES_API_ENDPOINT = os.environ.get("NAVIER_STOKES_API_ENDPOINT")
NAVIER_STOKES_API_KEY = os.environ.get("NAVIER_STOKES_API_KEY")

# Define the LiteLLM API endpoint and credentials
LITE_LLM_API_ENDPOINT = os.environ.get("LITE_LLM_API_ENDPOINT")
LITE_LLM_API_KEY = os.environ.get("LITE_LLM_API_KEY")

class NavierStokesRequest(BaseModel):
    """Navier-Stokes API request model"""
    equation: str
    parameters: Dict[str, float]

class NavierStokesResponse(BaseModel):
    """Navier-Stokes API response model"""
    solution: Dict[str, float]

class LiteLLMRequest(BaseModel):
    """LiteLLM API request model"""
    prompt: str
    parameters: Dict[str, str]

class LiteLL

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