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```python
# AI Dev Tool: FastAPI Magnitude Inference Engine API Wrapper
# Description: A self-optimizing inference engine for agents using FastAPI and Pydantic v2
# Author: [Your Name]

from fastapi import FastAPI, Depends, HTTPException
from pydantic import BaseModel
from typing import List, Dict
import uvicorn
import json
from magnitude import Magnitude

app = FastAPI(
    title="Magnitude Inference Engine API",
    description="A self-optimizing inference engine for agents",
    version="1.0.0"
)

# Define the request and response models
class InferenceRequest(BaseModel):
    """Inference request model"""
    input_data: List[float]
    agent_id: str

class InferenceResponse(BaseModel):
    """Inference response model"""
    output_data: List[float]
    agent_id: str

# Initialize the Magnitude inference engine
magnitude = Magnitude()

# Define the inference endpoint
@app.post("/inference", response_model=InferenceResponse)
async def inference(request: InferenceRequest):
    """
    Perform inference using the Magnitude engine
    """
    try:
        # Perform inference
        output_data = magnitude.infer(request.input

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