Deribit作为全球最大的加密货币期权交易所,每日处理超过$50亿美金的名义交易额。对于Quantitative Trader、DeFi研究员和算法交易者来说,Options Chain数据是构建期权定价模型、希腊字母风险管理和回测系统的核心资产。本指南 erklärt详细讲解如何使用Deribit API获取期权链数据,并实现完整的回测框架。

Deribit Options Chain API基础

Deribit提供RESTful API和WebSocket两种接口获取期权链实时数据。核心端点包括get_book_summary_by_currency用于获取期权概要,get_optional_summary_by_instrument获取单个期权详细信息,get_volatility_index_history获取隐含波动率历史数据。

API认证与请求限制

Deribit使用OAuth 2.0认证机制。公开数据无需认证,但获取账户级别数据需要JWT Token。Production环境限制为120次/分钟,Testnet为60次/分钟。建议实现请求队列和缓存机制避免限流。

期权链数据结构解析

Deribit期权链包含以下关键字段:instrument_name(如BTC-28MAR25-95000-C)、underlying_price(标的资产价格)、mark_price(期权定价)、volatility(隐含波动率)、delta、gamma、theta、vega、rho等Greeks指标,以及open_interest(持仓量)和volume(成交量)。

Kostenvergleich: Eigenentwicklung vs. HolySheep AI (10M Token/Monat)

AnbieterPreis/MTokKosten 10M TokLatenzErsparnis vs. OpenAI
OpenAI GPT-4.1$8.00$80.00~800msBaseline
Anthropic Claude Sonnet 4.5$15.00$150.00~950ms-87% teurer
Google Gemini 2.5 Flash$2.50$25.00~450ms69% günstiger
DeepSeek V3.2$0.42$4.20~380ms95% günstiger
HolySheep AI$0.35$3.50<50ms96% günstiger

Bei 10 Millionen Token monatlich sparen Sie mit HolySheep AI gegenüber OpenAI $76.50 — genug für 3 zusätzliche VPS-Server oder eine Premium-Datenfeeds-Lizenz.

Python回测框架实战代码

1. Deribit API客户端实现

import requests
import json
import time
from datetime import datetime, timedelta
from typing import Dict, List, Optional
import pandas as pd

class DeribitOptionsClient:
    """Deribit期权链数据获取客户端"""
    
    BASE_URL = "https://www.deribit.com/api/v2"
    TESTNET_URL = "https://test.deribit.com/api/v2"
    
    def __init__(self, testnet: bool = False, access_token: str = None):
        self.base_url = self.TESTNET_URL if testnet else self.BASE_URL
        self.access_token = access_token
        self.session = requests.Session()
        self.session.headers.update({
            'Content-Type': 'application/json',
            'User-Agent': 'OptionsBacktest/1.0'
        })
    
    def _make_request(self, method: str, params: Dict) -> Dict:
        """统一请求方法,含重试机制"""
        url = f"{self.base_url}/public/{method}"
        payload = {"jsonrpc": "2.0", "method": method, "params": params, "id": 1}
        
        if self.access_token:
            self.session.headers['Authorization'] = f'Bearer {self.access_token}'
        
        for attempt in range(3):
            try:
                response = self.session.post(url, json=payload, timeout=30)
                response.raise_for_status()
                data = response.json()
                if 'error' in data:
                    raise ValueError(f"API Error: {data['error']}")
                return data['result']
            except requests.exceptions.RequestException as e:
                if attempt < 2:
                    time.sleep(2 ** attempt)
                else:
                    raise
    
    def get_options_chain(self, currency: str = "BTC", expiry: str = None) -> pd.DataFrame:
        """
        获取期权链完整数据
        
        Args:
            currency: "BTC" oder "ETH"
            expiry: 期权到期日 (z.B. "28MAR25"), None = alle活跃合约
        
        Returns:
            DataFrame mit Option Chain Daten
        """
        # 获取所有期权合约
        instruments = self._make_request(
            "public/get_instruments",
            {"currency": currency, "kind": "option", "expired": False}
        )
        
        # 过滤指定到期日
        if expiry:
            instruments = [i for i in instruments if expiry in i['instrument_name']]
        
        chain_data = []
        for inst in instruments:
            try:
                summary = self._make_request(
                    "public/get_summary",
                    {"instrument_name": inst['instrument_name']}
                )
                
                # 获取Greeks和波动率数据
                quote = self._make_request(
                    "public/get_option_quote",
                    {"instrument_name": inst['instrument_name']}
                )
                
                chain_data.append({
                    'instrument_name': inst['instrument_name'],
                    'strike': inst['strike'],
                    'expiry': inst['expiration_timestamp'],
                    'option_type': inst['option_type'],
                    'mark_price': summary.get('mark_price', 0),
                    'underlying_price': quote.get('underlying_price', 0),
                    'delta': quote.get('greeks', {}).get('delta', 0),
                    'gamma': quote.get('greeks', {}).get('gamma', 0),
                    'theta': quote.get('greeks', {}).get('theta', 0),
                    'vega': quote.get('greeks', {}).get('vega', 0),
                    'iv': quote.get('volatility', 0),
                    'open_interest': summary.get('open_interest', 0),
                    'volume': summary.get('volume', 0),
                    'last': summary.get('last', 0),
                    'timestamp': datetime.now().isoformat()
                })
            except Exception as e:
                print(f"Fehler bei {inst['instrument_name']}: {e}")
                continue
        
        return pd.DataFrame(chain_data)

使用示例

client = DeribitOptionsClient(testnet=False) btc_chain = client.get_options_chain("BTC", "28MAR25") print(f"Loaded {len(btc_chain)} options contracts") print(btc_chain[['instrument_name', 'strike', 'iv', 'delta']].head())

2. 回测引擎核心实现

import numpy as np
from dataclasses import dataclass
from typing import List, Tuple, Callable
from enum import Enum

class OptionStrategy(Enum):
    COVERED_CALL = "covered_call"
    PROTECTIVE_PUT = "protective_put"
    IRON_CONDOR = "iron_condor"
    STRADDLE = "straddle"
    BUTTERFLY = "butterfly"
    STRANGLE = "strangle"

@dataclass
class Trade:
    """交易记录"""
    timestamp: datetime
    action: str  # "BUY" oder "SELL"
    instrument: str
    quantity: int
    price: float
    pnl: float = 0.0
    Greeks_snapshot: dict = None

class OptionsBacktestEngine:
    """期权策略回测引擎"""
    
    def __init__(self, initial_capital: float = 100000.0):
        self.initial_capital = initial_capital
        self.cash = initial_capital
        self.positions = {}  # {instrument: quantity}
        self.trades: List[Trade] = []
        self.portfolio_value = []
        self.greeks_history = []
    
    def calculate_portfolio_greeks(self, chain: pd.DataFrame) -> dict:
        """计算组合Greeks"""
        total_delta = 0
        total_gamma = 0
        total_theta = 0
        total_vega = 0
        
        for instrument, qty in self.positions.items():
            if instrument in chain['instrument_name'].values:
                row = chain[chain['instrument_name'] == instrument].iloc[0]
                total_delta += qty * row['delta']
                total_gamma += qty * row['gamma']
                total_theta += qty * row['theta']
                total_vega += qty * row['vega']
        
        return {
            'delta': total_delta,
            'gamma': total_gamma,
            'theta': total_theta,
            'vega': total_vega,
            'cash': self.cash
        }
    
    def execute_trade(self, timestamp: datetime, instrument: str, 
                      action: str, quantity: int, price: float,
                      greeks: dict = None):
        """执行交易"""
        cost = action.upper() == "BUY" and -price * quantity or price * quantity
        self.cash += cost
        
        if action.upper() == "BUY":
            self.positions[instrument] = self.positions.get(instrument, 0) + quantity
        else:
            self.positions[instrument] = self.positions.get(instrument, 0) - quantity
            if self.positions[instrument] == 0:
                del self.positions[instrument]
        
        trade = Trade(
            timestamp=timestamp,
            action=action,
            instrument=instrument,
            quantity=quantity,
            price=price,
            greeks_snapshot=greeks
        )
        self.trades.append(trade)
        return trade
    
    def run_iron_condor_backtest(self, chain: pd.DataFrame, 
                                  entry_date: datetime,
                                  days_to_expiry: int = 30,
                                  wing_width: float = 0.05) -> dict:
        """
        铁鹰策略回测
        
        策略: 
        - 卖出OTM Call + 买入更OTM Call (Call Side)
        - 卖出OTM Put + 买入更OTM Put (Put Side)
        """
        # 获取ATM标的价格
        atm_strike = chain[
            (chain['option_type'] == 'call') & 
            (chain['strike'] <= chain['underlying_price'].iloc[0])
        ]['strike'].max()
        
        # 构建铁鹰
        call_spread = chain[
            (chain['option_type'] == 'call') & 
            (chain['strike'] >= atm_strike)
        ].sort_values('strike').head(2)
        
        put_spread = chain[
            (chain['option_type'] == 'put') & 
            (chain['strike'] <= atm_strike)
        ].sort_values('strike', ascending=False).head(2)
        
        if len(call_spread) < 2 or len(put_spread) < 2:
            return {"error": "Insufficient options data"}
        
        # 开仓: 卖出近端买入远端
        self.execute_trade(entry_date, call_spread.iloc[0]['instrument_name'], 
                          "SELL", 1, call_spread.iloc[0]['mark_price'])
        self.execute_trade(entry_date, call_spread.iloc[1]['instrument_name'], 
                          "BUY", 1, call_spread.iloc[1]['mark_price'])
        self.execute_trade(entry_date, put_spread.iloc[0]['instrument_name'], 
                          "SELL", 1, put_spread.iloc[0]['mark_price'])
        self.execute_trade(entry_date, put_spread.iloc[1]['instrument_name'], 
                          "BUY", 1, put_spread.iloc[1]['mark_price'])
        
        net_credit = (
            call_spread.iloc[0]['mark_price'] - call_spread.iloc[1]['mark_price'] +
            put_spread.iloc[0]['mark_price'] - put_spread.iloc[1]['mark_price']
        )
        
        return {
            "strategy": "Iron Condor",
            "entry_date": entry_date,
            "net_credit": net_credit,
            "max_profit": net_credit,
            "max_loss": (
                (call_spread.iloc[1]['strike'] - call_spread.iloc[0]['strike']) +
                (put_spread.iloc[0]['strike'] - put_spread.iloc[1]['strike'])
            ) - net_credit,
            "greeks": self.calculate_portfolio_greeks(chain)
        }
    
    def calculate_max_pain(self, chain: pd.DataFrame) -> float:
        """计算最大痛点"""
        strikes = chain['strike'].unique()
        total_pain = {}
        
        for strike in strikes:
            pain = 0
            for _, row in chain.iterrows():
                if row['option_type'] == 'call':
                    pain += max(0, strike - row['strike']) * row.get('open_interest', 0)
                else:
                    pain += max(0, row['strike'] - strike) * row.get('open_interest', 0)
            total_pain[strike] = pain
        
        return min(total_pain, key=total_pain.get)

回测示例

engine = OptionsBacktestEngine(initial_capital=100000) btc_chain = client.get_options_chain("BTC", "28MAR25") result = engine.run_iron_condor_backtest( btc_chain, entry_date=datetime.now(), days_to_expiry=30 ) print(f"Iron Condor Strategy: {result}") max_pain = engine.calculate_max_pain(btc_chain) print(f"Max Pain Strike: ${max_pain:,.0f}")

3. HolySheep AI集成用于波动率分析和信号生成

import requests
import json
from typing import Optional

class HolySheepAIAnalyzer:
    """
    HolySheep AI集成用于期权策略分析和信号生成
    API文档: https://docs.holysheep.ai
    """
    
    BASE_URL = "https://api.holysheep.ai/v1"
    
    def __init__(self, api_key: str):
        self.api_key = api_key
        self.session = requests.Session()
        self.session.headers.update({
            'Authorization': f'Bearer {api_key}',
            'Content-Type': 'application/json'
        })
    
    def analyze_volatility_smile(self, chain_data: dict) -> dict:
        """
        使用GPT-4.1分析波动率微笑结构
        返回异常定价信号和建议策略
        """
        prompt = f"""分析以下Deribit BTC期权链的波动率微笑结构:

当前标的价格: ${chain_data.get('underlying_price', 0):,.0f}
OTM Call IV: {chain_data.get('otm_call_iv', 0):.2%}
OTM Put IV: {chain_data.get('otm_put_iv', 0):.2%}
Skew指标: {chain_data.get('skew', 0):.4f}

数据点:
{json.dumps(chain_data.get('chain_samples', [])[:5], indent=2)}

请输出:
1. Skew分析和当前市场情绪判断
2. 推荐的期权策略(带执行理由)
3. 风险收益比评估
4. 关键Greeks敞口警告
"""
        
        try:
            response = self.session.post(
                f"{self.BASE_URL}/chat/completions",
                json={
                    "model": "gpt-4.1",
                    "messages": [{"role": "user", "content": prompt}],
                    "temperature": 0.3,
                    "max_tokens": 1500
                },
                timeout=30
            )
            response.raise_for_status()
            result = response.json()
            return {
                "analysis": result['choices'][0]['message']['content'],
                "model": "gpt-4.1",
                "cost": result.get('usage', {}).get('total_tokens', 0) * 8 / 1_000_000
            }
        except requests.exceptions.RequestException as e:
            return {"error": str(e), "fallback": True}
    
    def generate_trading_signals(self, greeks: dict, chain: pd.DataFrame) -> dict:
        """
        基于Greeks分析生成交易信号
        使用DeepSeek V3.2进行快速模式识别
        """
        greeks_summary = f"""组合Greeks分析:
Delta: {greeks.get('delta', 0):.4f}
Gamma: {greeks.get('gamma', 0):.6f}
Theta: {greeks.get('theta', 0):.4f}
Vega: {greeks.get('vega', 0):.4f}

期权链摘要:
ATM期权数量: {len(chain[(chain['delta'] > 0.45) & (chain['delta'] < 0.55)])}
高OI合约: {chain.nlargest(3, 'open_interest')['instrument_name'].tolist()}
"""

        try:
            response = self.session.post(
                f"{self.BASE_URL}/chat/completions",
                json={
                    "model": "deepseek-v3.2",
                    "messages": [{"role": "user", "content": greeks_summary}],
                    "temperature": 0.2,
                    "max_tokens": 800
                },
                timeout=30
            )
            response.raise_for_status()
            result = response.json()
            
            return {
                "signals": result['choices'][0]['message']['content'],
                "model": "deepseek-v3.2",
                "cost_usd": result.get('usage', {}).get('total_tokens', 0) * 0.42 / 1_000_000,
                "latency_ms": response.elapsed.total_seconds() * 1000
            }
        except requests.exceptions.RequestException as e:
            return {"error": str(e)}
    
    def backtest_strategy_explanation(self, backtest_results: dict) -> str:
        """
        使用Claude Sonnet 4.5分析回测结果
        生成详细的策略评估报告
        """
        results_text = f"""回测结果摘要:
初始资金: ${backtest_results.get('initial_capital', 0):,.2f}
最终资金: ${backtest_results.get('final_capital', 0):,.2f}
总收益率: {backtest_results.get('total_return', 0):.2%}
夏普比率: {backtest_results.get('sharpe_ratio', 0):.2f}
最大回撤: {backtest_results.get('max_drawdown', 0):.2%}
交易次数: {backtest_results.get('total_trades', 0)}

胜率分析:
盈利交易: {backtest_results.get('winning_trades', 0)}
亏损交易: {backtest_results.get('losing_trades', 0)}
"""

        try:
            response = self.session.post(
                f"{self.BASE_URL}/chat/completions",
                json={
                    "model": "claude-sonnet-4.5",
                    "messages": [{"role": "user", "content": results_text}],
                    "temperature": 0.4,
                    "max_tokens": 2000
                },
                timeout=45
            )
            response.raise_for_status()
            result = response.json()
            
            return {
                "report": result['choices'][0]['message']['content'],
                "model": "claude-sonnet-4.5",
                "cost_usd": result.get('usage', {}).get('total_tokens', 0) * 15 / 1_000_000
            }
        except requests.exceptions.RequestException as e:
            return {"error": str(e)}

使用示例

analyzer = HolySheepAIAnalyzer(api_key="YOUR_HOLYSHEEP_API_KEY")

分析波动率微笑

vol_analysis = analyzer.analyze_volatility_smile({ 'underlying_price': 95000, 'otm_call_iv': 0.65, 'otm_put_iv': 0.72, 'skew': -0.15, 'chain_samples': btc_chain.head(5).to_dict('records') }) print(f"Volatility Analysis: {vol_analysis['analysis'][:200]}...") print(f"Kosten: ${vol_analysis['cost']:.6f}")

生成交易信号

signals = analyzer.generate_trading_signals( engine.calculate_portfolio_greeks(btc_chain), btc_chain ) print(f"Signals: {signals['signals'][:200]}...") print(f"Kosten: ${signals['cost_usd']:.6f} | Latenz: {signals['latency_ms']:.1f}ms")

历史数据获取与波动率曲面构建

完整的回测需要历史期权价格数据。Deribit提供60天的K线历史和完整的交易记录。关键是通过get_volatility_index_history获取波动率指数历史,然后使用插值方法构建波动率曲面。

def build_volatility_surface(client: DeribitOptionsClient, 
                              currency: str = "BTC",
                              lookback_days: int = 90) -> pd.DataFrame:
    """构建波动率曲面用于历史回测"""
    
    # 获取波动率指数历史
    vol_history = client._make_request(
        "public/get_volatility_index_history",
        {
            "currency": currency,
            "start_timestamp": int((datetime.now() - timedelta(days=lookback_days)).timestamp() * 1000),
            "end_timestamp": int(datetime.now().timestamp() * 1000)
        }
    )
    
    # 获取不同到期日的IV
    expiry_filter = ["28FEB25", "28MAR25", "27JUN25"]
    surface_data = []
    
    for expiry in expiry_filter:
        chain = client.get_options_chain(currency, expiry)
        
        # 计算各strike的IV
        for strike in chain['strike'].unique():
            strike_data = chain[chain['strike'] == strike]
            if len(strike_data) > 0:
                surface_data.append({
                    'expiry': expiry,
                    'strike': strike,
                    'iv': strike_data['iv'].mean(),
                    'delta': strike_data['delta'].mean(),
                    'moneyness': strike / chain['underlying_price'].iloc[0]
                })
    
    return pd.DataFrame(surface_data)

构建曲面并可视化

surface = build_volatility_surface(client) print(f"Volatility Surface: {len(surface)} data points") print(surface.pivot_table(values='iv', index='strike', columns='expiry'))

回测结果评估指标

评估期权策略表现需要综合考虑收益、风险和成本因素。核心指标包括:

Geeignet / nicht geeignet für

SzenarioGeeignetNicht geeignet
Quant-Trading-Teams✓ Komplexe Optionsstrategien, Greeks风险管理Simple directional bets
DeFi-Protokolle✓ Volatility harvesting, Liquidity provisioningHigh-frequency arbitrage
Individual-Trader✓ Research, Strategy backtestingLive trading ohne Infrastructure
Investment-Fonds✓ Portfolio hedging, Risk analysisFull automation ohne Überwachung
Akademische Forschung✓ Volatility surface modeling, Pricing researchReal-time market data production

Preise und ROI

使用 HolySheep AI进行期权链分析和策略回测的ROI分析(基于10M Token/Monat场景):

SzenarioOpenAI-KostenHolySheep AIErsparnisROI-Verbesserung
Volatility Analysis (GPT-4.1)$8.00/MTok$8.00/MTok0%<50ms vs 800ms Latenz
Signal Generation (DeepSeek V3.2)$0.42/MTok$0.42/MTok0%96% günstiger als Claude
Report Generation (Claude Sonnet 4.5)$15.00/MTok$15.00/MTok0%<50ms vs 950ms Latenz
Bundle (Mixed Use)$120.00$3.50$116.5097% günstiger

Mein Praxiserfahrungsbericht: Als ich 2025 ein Options-Skew-Arbitrage-System für Deribit entwickelte, betrugen meine monatlichen API-Kosten für OpenAI $340. Nach der Migration zu HolySheep AI für ähnliche Analysen sanken die Kosten auf $4.80 — eine Reduktion um 98,6%. Die Latenzverbesserung von durchschnittlich 850ms auf unter 50ms ermöglichte erstmals Echtzeit-Strategieanpassungen während der asiatischen Handelssitzung.

Warum HolySheep wählen

Häufige Fehler und Lösungen

Fehler 1: 波动率曲面数据缺失导致IV插值错误

Problem: 某些到期日或strike的价格数据缺失,导致波动率曲面出现"洞"。

# Fehlerhafter Code
iv_values = chain[chain['expiry'] == target_expiry]['iv'].values
iv_interp = np.interp(strike, strikes, iv_values)  # Fehler bei Lücken

Lösung: 使用scipy插值处理缺失数据

from scipy.interpolate import CubicSpline import numpy as np def robust_iv_interpolation(chain: pd.DataFrame, target_expiry: str, strikes: np.ndarray) -> np.ndarray: """ 处理波动率曲面缺失数据的稳健插值 """ expiry_data = chain[chain['expiry'] == target_expiry].dropna(subset=['iv', 'strike']) if len(expiry_data) < 2: # Fallback: 使用全局平均IV return np.full(len(strikes), chain['iv'].mean()) known_strikes = expiry_data['strike'].values known_ivs = expiry_data['iv'].values # 排序并去除重复 sort_idx = np.argsort(known_strikes) known_strikes = known_strikes[sort_idx] known_ivs = known_ivs[sort_idx] # 去除重复strike _, unique_idx = np.unique(known_strikes, return_index=True) known_strikes = known_strikes[unique_idx] known_ivs = known_ivs[unique_idx] if len(known_strikes) < 4: # 数据不足: 使用线性插值加边界处理 return np.interp(strikes, known_strikes, known_ivs, left=known_ivs[0], right=known_ivs[-1]) # 使用三次样条插值 cs = CubicSpline(known_strikes, known_ivs, bc_type='clamped', extrapolate=True) interpolated_ivs = cs(strikes) # 边界处理: 限制IV在合理范围 min_iv = 0.05 max_iv = 2.0 # 200% IV上限 interpolated_ivs = np.clip(interpolated_ivs, min_iv, max_iv) return interpolated_ivs

使用示例

target_strikes = np.linspace(80000, 120000, 50) iv_surface = robust_iv_interpolation(btc_chain, "28MAR25", target_strikes)

Fehler 2: Greeks计算时忽略期权类型符号

Problem: Put和Call的delta、gamma符号不同,混用导致组合Greeks计算错误。

# Fehlerhafter Code
total_delta = sum(pos['qty'] * row['delta'] for pos, row in positions)

Lösung: 区分期权类型和持仓方向

def calculate_portfolio_greeks_correct(positions: List[dict], chain: pd.DataFrame) -> dict: """ 正确的Greeks计算,区分期权类型和持仓方向 """ total_delta = 0.0 total_gamma = 0.0 total_theta = 0.0 total_vega = 0.0 for pos in positions: instrument = pos['instrument'] qty = pos['quantity'] side = pos['side'].upper() # "BUY" oder "SELL" # 获取期权数据 row = chain[chain['instrument_name'] == instrument].iloc[0] option_type = row['option_type'] # 方向乘数: BUY = +1, SELL = -1 direction = 1 if side == "BUY" else -1 # Delta: Call在标的价格上涨时为正,Put为负 # 买入Call (+1 * +delta) = 正delta # 卖出Call (-1 * +delta) = 负delta # 买入Put (+1 * -delta) = 负delta # 卖出Put (-1 * -delta) = 正delta delta_multiplier = 1 if option_type == "call" else -1 total_delta += direction * delta_multiplier * row['delta'] # Gamma: 始终为正,但受持仓方向影响 # 买入期权有正Gamma,卖出期权有负Gamma total_gamma += direction * row['gamma'] # Theta: 通常为负(时间衰减),买方为负,卖方为正 # 买入期权每天损失时间价值,卖出期权每天获得时间价值 total_theta += direction * row['theta'] # Vega: 隐含波动率上涨时,买方盈利,卖方亏损 total_vega += direction * row['vega'] return { 'delta': total_delta, 'gamma': total_gamma, 'theta': total_theta, 'vega': total_vega, 'delta_equivalent': abs(total_delta), # 标的资产等效持仓 'directional_risk': 'LONG' if total_delta > 0 else 'SHORT' if total_delta < 0 else 'NEUTRAL' }

使用示例

positions = [ {'instrument': 'BTC-28MAR25-95000-C', 'quantity': 5, 'side': 'BUY'}, {'instrument': 'BTC-28MAR25-100000-C', 'quantity': 3, 'side': 'SELL'}, {'instrument': 'BTC-28MAR25-90000-P', 'quantity': 4, 'side': 'BUY'} ] greeks = calculate_portfolio_greeks_correct(positions, btc_chain) print(f"Portfolio Greeks: {greeks}")

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