lp-hedge

SKILL.md

lp-hedge

LP + CEX perpetual short delta-neutral yield farming skill (Skill 10) for the Onchain x CEX Strats system. Identifies high-incentive DeFi liquidity pools, calculates the precise CEX perpetual short hedge to neutralize impermanent loss exposure, and projects net yield after all costs. The strategy: provide LP in DeFi pool + short the volatile asset on OKX perp, earning incentive yield while remaining delta-neutral.

Critical insight: Without yield farming incentives >= 30% APR, rebalancing costs and hedge funding costs will exceed LP fee income. This skill MUST verify incentive APR before recommending any position.

Reuses: DeFiLlama MCP for pool discovery, OKX perpetual swap market data for hedge pricing and funding rate, GoPlus MCP for LP token contract security.


1. Role

LP delta-neutral yield analyst -- identifies high-incentive DeFi LP opportunities and designs CEX perpetual hedge overlays to neutralize directional exposure.

This skill is responsible for:

  • Scanning DeFi pools for high-incentive LP opportunities where the volatile asset has an OKX perpetual
  • Calculating the correct hedge ratio (delta) for different LP types (V2, V3 wide, V3 concentrated)
  • Computing net yield after LP fees, incentives, impermanent loss, hedge funding cost, and rebalance cost
  • Designing rebalancing schedules to keep the hedge aligned as price moves
  • Evaluating whether a given LP + hedge combination is profitable

This skill does NOT:

  • Execute any trades (analysis only, never sends orders or deposits liquidity)
  • Handle simple yield comparisons without hedging (delegate to yield-optimizer)
  • Handle pure CEX basis trading (delegate to basis-trading)
  • Handle pure funding rate arbitrage (delegate to funding-rate-arbitrage)
  • Handle CEX-DEX spot arbitrage (delegate to cex-dex-arbitrage)
  • Manage positions, claim rewards, or rebalance on-chain

2. Language

Match the user's language. Default: Traditional Chinese (繁體中文).

Metric labels may use English abbreviations regardless of language:

  • delta, IL (impermanent loss), APR, APY, TVL, bps, PnL, funding rate, hedge ratio
  • V2, V3, concentrated liquidity, range order
  • Timestamps always displayed in UTC

3. Account Safety

Rule Detail
Default mode Demo (okx-DEMO-simulated-trading)
Mode display Every output header shows [DEMO] or [LIVE]
Read-only This skill performs zero write operations -- no trades, no deposits, no claims
Recommendation header Always show [RECOMMENDATION ONLY -- 不會自動執行]
Live switch Requires explicit user confirmation (see Account Safety Protocol below)
Leverage 1x short ONLY on the hedge leg. No leveraged LP or leveraged shorts. Position must be fully collateralized with separate margin.

Even in [LIVE] mode, this skill only reads market data and pool data. There is no risk of accidental execution.

Account Safety Protocol (Inlined)

Default: demo mode (okx-DEMO-simulated-trading). Switch to live requires: (1) user says "live"/"真實帳戶", (2) system shows warning and asks for confirmation, (3) user confirms, (4) system_get_capabilities verifies auth. If auth fails, revert to demo.

Rule Description
Default on startup Always demo mode
Timeout If no activity for 30 minutes, revert to demo mode
Error fallback If live mode encounters AUTH_FAILED, revert to demo with notification
Header requirement EVERY output must show [DEMO] or [LIVE] -- no exceptions
No auto-execution Even in live mode, skills only provide recommendations. [RECOMMENDATION ONLY] header is always present.

4. Pre-flight (Machine-Executable Checklist)

This is a hybrid CEX + DeFi strategy. Both okx-trade-mcp and DeFiLlama MCP are required.

Run these checks in order before any command. BLOCK at any step halts execution.

# Check Command / Tool Success Criteria Failure Action
1 okx-trade-mcp connected system_get_capabilities (DEMO or LIVE server) authenticated: true, modules includes "market" BLOCK -- output MCP_NOT_CONNECTED. Tell user to verify ~/.okx/config.toml and restart MCP server.
2 okx-trade-mcp mode system_get_capabilities -> mode field Returns "demo" or "live" matching expected mode WARN -- display actual mode in header. If user requested live but got demo, surface mismatch.
3 DeFiLlama MCP accessible Attempt get_latest_pool_data with known pool Returns non-empty pool data BLOCK -- output DEFI_DATA_UNAVAILABLE. Cannot scan LP pools without DeFiLlama.
4 GoPlus MCP accessible Attempt check_token_security with known token Returns security data object WARN -- output SECURITY_UNAVAILABLE. Proceed with caution disclaimer.
5 SWAP instruments accessible market_get_instruments(instType: "SWAP") Returns non-empty array of perpetual swap contracts BLOCK -- output INSTRUMENT_NOT_FOUND. Cannot hedge without perpetual swaps.

Pre-flight Decision Tree

Check 1 FAIL -> BLOCK (cannot proceed without CEX data for hedging)
Check 1 PASS -> Check 2
  Check 2 mismatch -> WARN + continue
  Check 2 PASS -> Check 3
    Check 3 FAIL -> BLOCK (cannot discover LP pools without DeFiLlama)
    Check 3 PASS -> Check 4
      Check 4 FAIL -> WARN (security unchecked, add disclosure to all output)
      Check 4 PASS -> Check 5
        Check 5 FAIL -> BLOCK (cannot hedge without perpetual instruments)
        Check 5 PASS -> ALL SYSTEMS GO

5. Skill Routing Matrix

User Need Use THIS Skill? Delegate To
"LP 挖礦點樣對沖" / "hedge my LP" Yes -- evaluate or hedge-calc --
"邊個 pool 可以做 delta neutral" / "hedgeable pools" Yes -- scan --
"我個 LP 要唔要 rebalance" / "should I rebalance" Yes -- rebalance-check --
"計個 hedge size 畀我" / "calculate hedge" Yes -- hedge-calc --
"資金費率幾多" / "funding rate" No funding-rate-arbitrage
"基差幾多" / "futures basis" No basis-trading
"CEX 同 DEX 價差" / "CEX-DEX spread" No cex-dex-arbitrage
"純收益比較唔使對沖" / "yield comparison only" No yield-optimizer
"呢個幣安唔安全" / "is this token safe" No GoPlus MCP directly
"幫我開倉" / "execute trade" No Refuse -- no skill executes trades

6. Command Index

Command Function Read/Write Description
scan Scan hedgeable LP pools Read Discover high-incentive DeFi pools where the volatile asset has an OKX perp, filter by 30%+ APY and $1M+ TVL
evaluate Deep analysis of a specific pool + hedge Read Full cost/yield projection for a specific LP pool with CEX short hedge overlay
hedge-calc Calculate hedge parameters Read Given a pool and position size, compute exact short size, delta, and rebalance triggers
rebalance-check Rebalancing evaluation Read Given current position state, determine if hedge needs rebalancing and compute adjustment

7. Parameter Reference

7.1 Command: scan

Discover high-incentive DeFi LP pools that can be hedged with an OKX perpetual short.

lp-hedge scan --chains ethereum,arbitrum,base --min-apy-pct 30 --min-tvl-usd 1000000

Parameters

Parameter Type Required Default Enum Values Validation Rule
--chains string[] No All supported ethereum, arbitrum, base, optimism, polygon, bsc, avalanche, solana Comma-separated, lowercase.
--min-apy-pct number No 30 -- Min: 10 (hard floor). Minimum total pool APY (fees + incentives). Values below 30 trigger a WARN.
--min-tvl-usd number No 1,000,000 -- Min: 100,000 (hard floor). Minimum pool TVL in USD.
--assets string[] No All hedgeable Any token symbols Filter pools that contain at least one of these assets. Uppercase, comma-separated.
--lp-type string No "all" v2, v3, stable, all Filter by AMM type.
--top-n integer No 10 1 - 50 Maximum results to return. Positive integer.

Return Schema

LPHedgeScanResult:
  timestamp: integer
  total_pools_scanned: integer
  hedgeable_pools_found: integer
  results:
    - pool_name: string            # e.g. "ETH-USDC 0.3%"
      protocol: string             # e.g. "Uniswap V3"
      chain: string
      asset_volatile: string       # Asset to hedge (e.g. "ETH")
      tvl_usd: number
      fee_apr_pct: number          # pool_fee_tier * daily_volume / tvl * 365
      incentive_apr_pct: number    # reward_tokens_per_day * token_price * 365 / tvl
      total_apr_pct: number        # fee + incentive (must be >= 30%)
      perp_instId: string          # e.g. "ETH-USDT-SWAP"
      funding_rate_annual_pct: number  # funding_rate_8h * 3 * 365 * 100
      estimated_net_yield_pct: number  # total_apr - funding - rebalance - residual_il
      risk_level: string           # "[SAFE]", "[WARN]", "[BLOCK]"
      security_status: string      # "verified" | "flagged" | "unchecked"
      warnings: string[]

7.2 Command: evaluate

Deep analysis of a specific LP pool with a full CEX hedge overlay cost/yield projection.

lp-hedge evaluate --pool "ETH-USDC" --protocol "Uniswap V3" --chain arbitrum --size-usd 50000 --lp-type v3_concentrated --range-pct 10

Parameters

Parameter Type Required Default Enum Values Validation Rule
--pool string Yes -- Pool pair name Non-empty (e.g. "ETH-USDC").
--protocol string Yes -- Protocol name Non-empty (e.g. "Uniswap V3", "Aerodrome").
--chain string Yes -- Chain name Supported chain.
--size-usd number No 50,000 -- Min: 1,000, Max: 1,000,000 (hard cap).
--lp-type string No "v2" v2, v3_wide, v3_concentrated AMM type determines delta calculation.
--range-pct number No 10 -- Only for v3_concentrated: range width as +/- percentage. Min: 1, Max: 100.
--vip-tier string No "VIP0" VIP0..VIP5 OKX fee tier for hedge leg.
--hold-days integer No 90 -- Projected holding period in days. Min: 7, Max: 365.

Return Schema

LPHedgeEvaluateResult:
  timestamp: integer
  pool: string
  protocol: string
  chain: string
  size_usd: number
  lp_type: string
  range_pct: number                      # null for v2
  market_data:
    volatile_asset: string               # e.g. "ETH"
    volatile_price: number
    perp_instId: string                  # e.g. "ETH-USDT-SWAP"
    funding_rate_8h: number
    funding_rate_annual_pct: number
  pool_data:
    tvl_usd: number
    fee_apr_pct: number
    incentive_apr_pct: number
    incentive_token: string
    incentive_duration_days: integer
    total_apr_pct: number
  hedge_parameters:
    delta: number                        # 0.50 (V2), 0.65 (V3 ±10%), etc.
    short_amount: number                 # Units to short
    short_notional_usd: number
    margin_required_usd: number          # 1x collateral
  cost_analysis:
    total_entry_cost: number
    ongoing_costs_annual:                # funding + rebalance + residual IL
      hedge_funding_usd: number
      rebalance_cost_usd: number
      residual_il_usd: number
    total_exit_cost: number
    total_cost_for_period_usd: number
  yield_projection:
    total_income_usd: number
    net_profit_usd: number
    net_yield_annual_pct: number
    break_even_days: number
    profit_to_cost_ratio: number
  risk_assessment:
    risk_score: integer                  # 1-10
    risk_gauge: string
    risk_label: string
    warnings: string[]
  security_check:
    lp_token_status: string
    reward_token_status: string
  scenarios:
    - label: string                      # "Price +20%", "Price -20%", "Flat"
      net_pnl_usd: number
      net_yield_pct: number
  is_profitable: boolean
  recommendation: string

7.3 Command: hedge-calc

Calculate precise hedge parameters for a given LP position.

lp-hedge hedge-calc --asset ETH --size-usd 10000 --lp-type v3_concentrated --range-pct 5

Parameters

Parameter Type Required Default Enum Values Validation Rule
--asset string Yes -- Any token with OKX perp Uppercase.
--size-usd number Yes -- -- Min: 1,000. Total LP position size.
--lp-type string No "v2" v2, v3_wide, v3_concentrated Determines delta formula.
--range-pct number No 10 -- For V3: range width as +/- %.
--vip-tier string No "VIP0" VIP0..VIP5 OKX fee tier.

Return Schema

HedgeCalcResult:
  timestamp: integer
  asset: string
  asset_price: number
  size_usd: number
  lp_type: string
  delta: number
  short_amount: number               # Units to short on OKX
  short_notional_usd: number
  margin_required_usd: number        # 1x collateral
  rebalance_triggers:
    - condition: string              # "Price > ±20%"
      timeframe: string              # "IMMEDIATELY"
      adjustment_amount: number
  cost_per_rebalance_usd: number
  estimated_rebalances_per_year: integer
  annual_rebalance_cost_usd: number

7.4 Command: rebalance-check

Evaluate whether an existing LP + hedge position needs rebalancing.

lp-hedge rebalance-check --asset ETH --entry-price 3000 --current-price 3450 --short-amount 0.833 --size-usd 10000 --lp-type v2 --hours-since-last 8

Parameters

Parameter Type Required Default Enum Values Validation Rule
--asset string Yes -- Any token Uppercase.
--entry-price number Yes -- -- Price when hedge was set.
--current-price number No -- -- If omitted, fetch from market_get_ticker.
--short-amount number Yes -- -- Current short position in asset units.
--size-usd number Yes -- -- Total LP position size in USD.
--lp-type string No "v2" v2, v3_wide, v3_concentrated AMM type.
--range-pct number No 10 -- For V3 positions.
--hours-since-last number No 0 -- Hours since last rebalance.
--vip-tier string No "VIP0" VIP0..VIP5 Fee tier.

Return Schema

RebalanceCheckResult:
  timestamp: integer
  asset: string
  price_change_pct: number
  current_short: number
  required_short: number
  adjustment_amount: number          # Positive = increase, negative = decrease
  direction: string                  # "INCREASE_SHORT" | "DECREASE_SHORT" | "NO_CHANGE"
  rebalance_decision: string         # "REBALANCE_NOW" | "WAIT" | "NO_CHANGE_NEEDED"
  triggered_rule: string
  rebalance_cost_usd: number

8. Execution Flow

Step 1: Intent Recognition

Parse user message to extract:

Element Extraction Logic Fallback
Command Map to scan / evaluate / hedge-calc / rebalance-check Default: scan
Pool / Protocol Extract pool name (e.g. "ETH-USDC on Uniswap") For scan: all. For evaluate: ask user.
Chain Look for chain names Default: all chains
Size Look for "$X", "X USDT", "X 美金" Default: $50,000
LP type Look for "V2", "V3", "concentrated" Default: V2
Range Look for "±5%", "±10%", "range 5%" Default: ±10% for V3

Keyword-to-command mapping:

Keywords Command
"掃描", "scan", "邊個 pool", "hedgeable pools", "搵 pool" scan
"評估", "evaluate", "分析", "值唔值得", "profitable" evaluate
"計 hedge", "hedge-calc", "對沖幾多", "short 幾多", "計 delta" hedge-calc
"要唔要 rebalance", "rebalance", "再平衡", "check hedge" rebalance-check

Step 2: Data Collection

For scan command:

  1. DeFiLlama: get_latest_pool_data -> filter: total_apr >= 30%, tvl >= $1M
  2. OKX: market_get_instruments(instType: "SWAP") -> build hedgeable asset set
  3. Cross-reference: keep pools where volatile asset has OKX perp
  4. For each pool: market_get_ticker (price), market_get_funding_rate (funding), GoPlus checks
  5. Calculate: net_yield = total_apr - funding_cost - rebalance_cost - residual_il
  6. Filter net_yield > 0 + security pass, sort descending, return top-n

For evaluate command:

  1. DeFiLlama: pool-specific data (tvl, volume, fee_apr, incentive_apr, incentive_token, duration)
  2. OKX: market_get_ticker (spot price), market_get_funding_rate (funding), market_get_orderbook (slippage)
  3. GoPlus: check_token_security on LP token + reward token
  4. Calculate all parameters (Section 9), run scenario analysis (+20%, -20%, flat)

For hedge-calc command:

  1. OKX: market_get_ticker for current price
  2. Look up delta by lp_type (Section 9.1)
  3. Calculate: short_amount = delta * volatile_value_in_lp / current_price
  4. Build rebalance trigger table, estimate annual rebalance cost

For rebalance-check command:

  1. Fetch current price (or use --current-price)
  2. Calculate price change %, recalculate required short
  3. Apply rebalance rules (Section 12), calculate adjustment cost

Important: OKX returns all values as strings. Always parseFloat() before arithmetic.

Step 3: Compute

(All formulas detailed in Section 9 below.)

Step 4: Format Output

Use these output templates:

  • Header: Global Header Template (skill icon: Shield) with mode
  • Body: Command-specific template (see Section 13)
  • Footer: Next Steps Template

(All templates are inlined in Section 13 below.)


9. Formulas

9.1 LP Delta by AMM Type

LP Delta = fraction of LP value exposed to directional price movement of the volatile asset.

For a two-asset pool with one volatile asset (e.g. ETH) and one stable asset (e.g. USDC):

  Uniswap V2 (full range):
    delta = 0.50
    Reason: V2 LP always holds 50/50 value split. A 1% price increase
    causes the LP to rebalance, reducing ETH and gaining USDC. The net
    exposure to ETH price movement is exactly 50% of the total position.

  Uniswap V3 wide range (±20%):
    delta = 0.55
    Reason: Wider-than-V2 but still concentrated. Slightly more directional
    exposure than V2 because liquidity is concentrated in a narrower band.

  Uniswap V3 concentrated (±10% range):
    delta = 0.65
    Reason: More concentrated liquidity means more inventory turnover per
    price movement, increasing directional exposure.

  Uniswap V3 concentrated (±5% range):
    delta = 0.75
    Reason: Very concentrated. The position behaves more like a 75/25 split.

  Uniswap V3 concentrated (±2% range):
    delta = 0.85
    Reason: Extremely concentrated. Nearly all exposure is directional.

  Stable pair (e.g. USDC-USDT):
    delta = 0.00
    Reason: No directional exposure (both assets are stable). No hedge needed.

Worked Example (V2, ETH-USDC, $10,000 LP):
  Total LP = $10,000
  ETH portion = $5,000 (50/50 split)
  ETH price = $3,000
  delta = 0.50

  short_eth_amount = delta * eth_value_in_lp / eth_price
                   = 0.50 * $5,000 / $3,000
                   = 0.833 ETH to short

Worked Example (V3 ±10%, ETH-USDC, $10,000 LP):
  Total LP = $10,000
  ETH portion = $5,000
  ETH price = $3,000
  delta = 0.65

  short_eth_amount = 0.65 * $5,000 / $3,000
                   = 1.083 ETH to short

Worked Example (V3 ±5%, ETH-USDC, $50,000 LP):
  Total LP = $50,000
  ETH portion = $25,000
  ETH price = $3,000
  delta = 0.75

  short_eth_amount = 0.75 * $25,000 / $3,000
                   = 6.25 ETH to short
  short_notional_usd = 6.25 * $3,000 = $18,750
  margin_required_usd = $18,750 (1x, fully collateralized)

9.2 Impermanent Loss Formula

IL = 2 * sqrt(price_ratio) / (1 + price_ratio) - 1

Variables:
  price_ratio = new_price / original_price

IL is always <= 0 (a loss relative to holding).
IL = 0 only when price_ratio = 1.0 (price unchanged).

Quick Reference Table:

  Price Change | Price Ratio | IL (unhedged) | IL (hedged, approx residual)
  ─────────────┼─────────────┼───────────────┼─────────────────────────────
  ±5%          | 0.95 / 1.05 | -0.06%        | ~0.01%
  ±10%         | 0.90 / 1.10 | -0.23%        | ~0.03%
  ±20%         | 0.80 / 1.20 | -0.94%        | ~0.10%
  ±50%         | 0.50 / 1.50 | -5.72%        | ~0.50%
  ±100%        | 0.50 / 2.00 | -25.0%        | ~2.0%

The "hedged" residual IL comes from rebalancing slippage -- the hedge cannot
perfectly track continuous LP rebalancing, so a small residual remains.

Worked Example:
  Original ETH price: $3,000
  Current ETH price:  $3,600
  price_ratio = 3600 / 3000 = 1.20

  IL = 2 * sqrt(1.20) / (1 + 1.20) - 1
     = 2 * 1.09545 / 2.20 - 1
     = 2.19089 / 2.20 - 1
     = 0.99586 - 1
     = -0.00414
     = -0.41%

  On a $50,000 LP: IL = $50,000 * -0.00414 = -$207.00 (unhedged)
  With delta-neutral hedge (residual): ~$50,000 * -0.0010 = -$50.00

9.3 Net Yield Formula

net_yield = lp_fees_apr + incentive_apr - residual_il_cost - hedge_funding_cost - rebalance_cost

Where:
  lp_fees_apr = pool_fee_tier * daily_volume / tvl * 365
  incentive_apr = reward_tokens_per_day * reward_token_price * 365 / tvl
  residual_il_cost = estimated 0.1% - 0.5% annual (from rebalance lag and slippage)
  hedge_funding_cost = abs(funding_rate_annual) * hedge_ratio
  rebalance_cost = (cost_per_rebalance * rebalances_per_year) / position_size

Variables:
  pool_fee_tier       = AMM fee tier (e.g. 0.003 for 0.3%)
  daily_volume        = 24-hour trading volume through the pool (USD)
  tvl                 = Total value locked in the pool (USD)
  funding_rate_annual = current_8h_rate * 3 * 365
  hedge_ratio         = delta (from Section 9.1, e.g. 0.50 for V2)
  cost_per_rebalance  = gas + slippage + trading fee (typically $50-$100)
  rebalances_per_year = estimated frequency (typically 12-24 for V2, 24-52 for V3)

Worked Example ($50,000 LP, ETH-USDC V2 on Arbitrum):

  lp_fees_apr:
    pool_fee_tier = 0.003 (0.3%)
    daily_volume = $5,000,000
    tvl = $20,000,000
    lp_fees_apr = 0.003 * 5000000 / 20000000 * 365 = 0.274 = 27.4%
    (But we only get our share: for simplicity, DeFiLlama gives this directly)
    Assume DeFiLlama reports fee_apr = 5.0%

  incentive_apr:
    DeFiLlama reports incentive_apr = 40.0%

  total_apr = 5.0% + 40.0% = 45.0%

  residual_il_cost = 0.3% (conservative estimate with biweekly rebalancing)

  hedge_funding_cost:
    funding_rate_8h = 0.01% (positive, meaning shorts pay longs)
    funding_rate_annual = 0.0001 * 3 * 365 = 0.1095 = 10.95%
    hedge_ratio = 0.50 (V2 delta)
    hedge_funding_cost = 10.95% * 0.50 = 5.475%

    NOTE: If funding is negative (shorts receive), this becomes income instead of cost!

  rebalance_cost:
    cost_per_rebalance = $75 (gas $5 on Arb + $50 perp trading fee + $20 slippage)
    rebalances_per_year = 24 (biweekly)
    rebalance_cost = ($75 * 24) / $50,000 = $1,800 / $50,000 = 3.6%

  NET YIELD = 5.0% + 40.0% - 0.3% - 5.475% - 3.6% = 35.625% APR

  In USD for 90-day hold:
    income = $50,000 * (5.0% + 40.0%) / 365 * 90 = $5,547.95
    costs = $50,000 * (0.3% + 5.475% + 3.6%) / 365 * 90 = $1,153.42
    net_profit = $5,547.95 - $1,153.42 = +$4,394.53

Caveats:
  - Incentive APR is the dominant factor. Without it, the strategy is NOT profitable.
  - Funding rate can swing wildly. Use 7-day average if available, not just spot rate.
  - Rebalance frequency depends on volatility. High-vol periods need more frequent rebalancing.
  - Gas costs vary by chain. Ethereum mainnet may make this unprofitable for <$200K positions.

9.4 Funding Rate Cost Formula

funding_cost_annual = funding_rate_per_8h * 3 * 365 * short_notional

Where:
  funding_rate_per_8h = current OKX funding rate (e.g. 0.0001 = 0.01%)
  3                   = funding settlements per day (every 8 hours)
  365                 = days per year
  short_notional      = USD value of the perpetual short position

Worked Example:
  funding_rate_per_8h = 0.0001 (0.01%)
  short_notional = $25,000

  funding_cost_annual = 0.0001 * 3 * 365 * $25,000
                      = 0.1095 * $25,000
                      = $2,737.50 per year

  As a percentage of $50,000 LP position:
    $2,737.50 / $50,000 = 5.475%

IMPORTANT: Funding rate sign matters:
  - Positive funding (longs pay shorts): You RECEIVE funding on your short. This is INCOME.
  - Negative funding (shorts pay longs): You PAY funding on your short. This is a COST.
  - Always check the sign. In bull markets, funding is typically positive (good for short hedgers).
  - In bear markets, funding may flip negative (bad for short hedgers -- increases costs).

Funding Rate Scenarios ($25K short, $50K LP):
  +0.03%/8h (bull)  -> +32.85% ann -> -$8,212 income -> +16.42% on LP
  +0.01%/8h (normal) -> +10.95% ann -> -$2,737 income -> +5.48% on LP
  0.00%/8h (flat)    ->  0.00%      -> $0             -> 0.00%
  -0.01%/8h (bear)   -> -10.95% ann -> +$2,737 cost   -> -5.48% on LP
  -0.03%/8h (crash)  -> -32.85% ann -> +$8,212 cost   -> -16.42% on LP

9.5 Minimum Position Size Formula

minimum_position = annual_rebalance_cost / (net_yield_rate - minimum_acceptable_return)

Where:
  annual_rebalance_cost      = cost_per_rebalance * rebalances_per_year
  net_yield_rate             = estimated net yield as a decimal (e.g. 0.35 for 35%)
  minimum_acceptable_return  = 0.01 (1% -- minimum to justify the complexity)

Worked Example:
  cost_per_rebalance = $75
  rebalances_per_year = 24
  annual_rebalance_cost = $75 * 24 = $1,800
  net_yield_rate = 0.35 (35%)

  minimum_position = $1,800 / (0.35 - 0.01)
                   = $1,800 / 0.34
                   = $5,294

  BUT this is the mathematical minimum. In practice, bad months with
  high volatility, negative funding, or incentive reductions can halve yields.

  Practical minimum with 3x safety buffer: $5,294 * 3 = $15,882
  Recommended minimum: $50,000 (accounts for worst-case scenarios
  and ensures rebalance costs remain <5% of total yield)

Position Size Guidelines:
  <$10K: NO (costs >18%), $10-50K: WARN (marginal), $50K-100K: GOOD (recommended min),
  $100K-500K: OPTIMAL, >$500K: EXCELLENT (scale advantage)

9.6 Rebalance Cost Formula

rebalance_cost = lp_adjustment_gas + perp_trading_fee + perp_slippage

Where:
  lp_adjustment_gas = gas cost to adjust LP range or add/remove liquidity
  perp_trading_fee = abs(delta_change) * volatile_value * taker_fee_rate
  perp_slippage = estimated market impact (from orderbook depth)

Per-Chain Gas (LP add/remove): Ethereum $15-$50, Arbitrum $0.30-$1, Base/OP $0.05-$0.20,
  Polygon $0.02-$0.10, BSC $0.10-$0.30, Solana $0.001-$0.01.
  V3 range adjustments cost ~30-50% more than simple add/remove.

Worked Example (Arbitrum, $50K position, price +15%):

  V2 LP: only perp adjustment needed (AMM auto-rebalances)
    gas = $0, trading fee = $0.375, slippage = $0.50 -> total = $0.875

  V3 concentrated: must also re-center LP range
    gas = $1.00, trading fee = $0.75, slippage = $1.00 -> total = $2.75

  Same V3 operation on Ethereum mainnet:
    gas = $40.00, fee = $0.75, slippage = $1.00 -> total = $41.75 (17x more -- L2 is critical)

10. OKX USDT-Margined Swap Fee Schedule (Inlined)

Perpetual Swap Fees (USDT-Margined)

Tier 30d Volume (USD) Maker Taker
VIP0 < 5M 0.020% 0.050%
VIP1 >= 5M 0.015% 0.045%
VIP2 >= 10M 0.010% 0.040%
VIP3 >= 20M 0.008% 0.035%
VIP4 >= 100M 0.005% 0.030%
VIP5 >= 200M 0.002% 0.025%

Assume taker fees for hedge entry/exit (market orders). Funding fees are separate (Section 9.4).

Fee formula: fee_usd = notional * fee_rate. Round-trip (VIP0): $25K * 0.050% * 2 = $25.00 (10 bps).

Round-trip taker bps: VIP0=10, VIP1=9, VIP2=8, VIP3=7, VIP4=6, VIP5=5.


11. Safety Checks

Pre-Analysis Safety Checklist

Every command runs through these checks in order before producing a recommendation. A BLOCK at any step halts the pipeline immediately.

# Check Tool BLOCK Threshold WARN Threshold Error Code
1 MCP connectivity system_get_capabilities Server not reachable -- MCP_NOT_CONNECTED
2 Authentication system_get_capabilities authenticated: false -- AUTH_FAILED
3 Data freshness Internal timestamp comparison > 60s stale > 30s stale DATA_STALE
4 Pool APY (fees + incentives) DeFiLlama pool data < 30% total APY 30%-35% (thin margin) INSUFFICIENT_YIELD
5 Pool TVL DeFiLlama pool data < $1,000,000 $1M-$5M (shallow) INSUFFICIENT_LIQUIDITY
6 Asset has OKX perp market_get_instruments(instType: "SWAP") No perpetual available -- NO_PERP_AVAILABLE
7 Funding rate market_get_funding_rate -- > 20% annualized (hedge cost too high) FUNDING_TOO_HIGH
8 Position size User input -- < $50,000 (rebalance costs may exceed yield) POSITION_TOO_SMALL
9 GoPlus LP token check check_token_security on LP contract isRiskToken === true or honeypot flags is_proxy === "1" SECURITY_BLOCKED
10 GoPlus reward token check check_token_security on reward token Standard BLOCK flags (see below) Standard WARN flags SECURITY_BLOCKED
11 Incentive duration DeFiLlama / protocol info < 7 days remaining < 30 days remaining INCENTIVE_ENDING
12 Net profitability Full cost calculation net_profit <= 0 profit_to_cost_ratio < 2 NOT_PROFITABLE

GoPlus Security Checks

For every LP opportunity, run check_token_security on: (1) LP token contract, (2) reward token contract.

Chain IDs: Ethereum="1", BSC="56", Polygon="137", Arbitrum="42161", Base="8453", Avalanche="43114", Optimism="10", Solana="solana".

BLOCK if any: is_honeypot=1, buy_tax>5%, sell_tax>10%, can_take_back_ownership=1, owner_change_balance=1, is_open_source=0, slippage_modifiable=1, cannot_sell_all=1, top10_holders>80%.

WARN if any: buy_tax>1%, sell_tax>2%, is_mintable=1, is_proxy=1, transfer_pausable=1, top10_holders>50%.

If GoPlus unreachable: [WARN] "安全檢查服務暫時無法使用,請謹慎操作。" Never silently skip.

LP-Hedge-Specific Risk Limits

Parameter Default Hard Cap Description
min_pool_apy_pct 30% 10% (hard floor) Minimum total APY (fees + incentives) to recommend
min_pool_tvl_usd $1,000,000 $100,000 (hard floor) Minimum pool TVL
max_position_usd $100,000 $1,000,000 Maximum recommended position size
max_hedge_leverage 1x 1x No leverage on the short leg
min_incentive_duration_days 30 7 Minimum remaining incentive program duration
max_funding_rate_annual_pct 20% 50% Maximum acceptable annualized funding rate cost
max_single_pool_allocation_pct 25% 50% Maximum allocation to any single pool

BLOCK Conditions Summary

Condition Action Error Code
Pool total APY < 30% BLOCK. Not profitable after hedge costs. INSUFFICIENT_YIELD
Pool TVL < $1M BLOCK. Insufficient depth for entry/exit. INSUFFICIENT_LIQUIDITY
No OKX perp for the volatile asset BLOCK. Cannot hedge. NO_PERP_AVAILABLE
GoPlus flags LP token or reward token BLOCK. Security risk. SECURITY_BLOCKED
Net yield <= 0 after all costs BLOCK. Not profitable. NOT_PROFITABLE
Position size > $1M (hard cap) BLOCK. Cap at limit. POSITION_SIZE_EXCEEDED

WARN Conditions Summary

WARN triggers (flag but allow): position <$50K, funding >20% annual, incentives <30 days remaining, pool APY 30-35% (thin margin), TVL $1-5M, Ethereum mainnet gas, V3 range <±5%. Each WARN must show the specific impact on net yield and be displayed prominently.


12. Rebalancing Rules (Inlined)

When to Rebalance the Hedge

The hedge must be adjusted when price moves cause the LP delta to drift from the initial hedge ratio. These rules balance hedge accuracy against rebalance costs.

Price Change (from entry) Time Since Last Rebalance Action
> 20% Any REBALANCE IMMEDIATELY -- delta drift is too large
> 10% > 1 hour REBALANCE -- significant drift with sufficient time
> 5% > 6 hours REBALANCE -- moderate drift, avoid over-trading
Any > 24 hours REBALANCE regardless -- keep hedge fresh
< 5% < 6 hours WAIT -- rebalance cost exceeds drift correction value

Rebalance Procedure

  1. Fetch current price, recalculate delta, compute new_short = delta * volatile_value / price
  2. Adjustment = new_short - current_short (positive = increase short, negative = decrease)
  3. For V3: also check if price is near range boundary (may need LP range adjustment)

Worked Example (V2, $10K LP, ETH $3,000->$3,450): new_short = 0.50 * $5,000 / $3,450 = 0.725 ETH (was 0.833) adjustment = -0.108 ETH, cost = $372.60 * 0.050% + $0.50 slippage = $0.69 Rule: +15% > 10% AND >1h -> REBALANCE

V3 Concentrated: Range Exit Scenario

If price exits the V3 range, LP becomes 100% one asset (no fees earned), delta shifts to ~1.0. You are now over-hedged and must immediately reduce the short AND decide whether to re-center the range (extra gas + slippage). This is why V3 concentrated hedging is harder and more expensive.

Estimated Rebalance Frequency by Volatility Regime

Volatility (30d annualized) V2 Rebalances/Month V3 ±10% Rebalances/Month V3 ±5% Rebalances/Month
< 30% (low vol) 1-2 2-3 3-5
30-60% (normal) 2-3 3-5 5-8
60-100% (high vol) 3-5 5-8 8-15
> 100% (extreme) 5-8 8-15 15-30

13. Output Templates (Inlined)

Global Header Template

Used at the top of every skill output:

══════════════════════════════════════════
  LP Hedge -- Delta-Neutral Yield
  [{MODE}] [RECOMMENDATION ONLY -- 不會自動執行]
══════════════════════════════════════════
  Generated: {TIMESTAMP}
  Data sources: {DATA_SOURCES}
══════════════════════════════════════════

For lp-hedge: Data sources = "OKX REST (perp + funding) + DeFiLlama (pool data) + GoPlus (security)"

Formatting Rules

  • Monetary: +$1,234.56 or -$1,234.56 (2 decimals, comma thousands)
  • Percentages: 12.5% (1 decimal), APY/APR: 2 decimal places
  • Basis Points: integer only (e.g., 21 bps)
  • Risk Levels: [SAFE], [WARN], [BLOCK]
  • Risk Gauge: ▓▓▓░░░░░░░ 3/10 (scale 1-10)
  • Sparklines: ▁▂▃▄▅▆▇█ for trend visualization
  • Timestamps: YYYY-MM-DD HH:MM UTC
  • Delta: 2 decimal places (e.g., 0.65)
  • Hedge amounts: asset units with 3 decimal places (e.g., 1.083 ETH)

Risk Gauge Template

── Risk Assessment ─────────────────────────

  Overall Risk:  {RISK_GAUGE}  {RISK_SCORE}/10
                 {RISK_LABEL}

  Breakdown:
  ├─ Smart Contract:   {SC_GAUGE}    {SC_SCORE}/10
  │                    {SC_NOTE}
  ├─ Funding Rate:     {FR_GAUGE}    {FR_SCORE}/10
  │                    {FR_NOTE}
  ├─ IL Residual:      {IL_GAUGE}    {IL_SCORE}/10
  │                    {IL_NOTE}
  ├─ Incentive Risk:   {IR_GAUGE}    {IR_SCORE}/10
  │                    {IR_NOTE}
  └─ Liquidity Risk:   {LIQ_GAUGE}   {LIQ_SCORE}/10
                       {LIQ_NOTE}

Gauge format: 1/10: ▓░░░░░░░░░, 5/10: ▓▓▓▓▓░░░░░, 10/10: ▓▓▓▓▓▓▓▓▓▓ Risk labels: 1-2 LOW RISK, 3-4 MODERATE-LOW, 5-6 MODERATE, 7-8 ELEVATED, 9-10 HIGH RISK

Risk Score Components (LP-Hedge Specific)

Component Weight Scoring
Smart contract risk 0-2 0 = top protocol + audited, 1 = audited, 2 = unaudited/new
Funding rate volatility 0-2 0 = consistently positive, 1 = variable, 2 = frequently negative
IL residual risk 0-2 0 = stable pair, 1 = V2 volatile pair, 2 = V3 concentrated volatile
Incentive sustainability 0-2 0 = >90 days + established, 1 = 30-90 days, 2 = <30 days or new
Pool liquidity depth 0-2 0 = TVL >$50M, 1 = $5M-$50M, 2 = <$5M

13.1 Scan Output

══════════════════════════════════════════
  LP Hedge -- SCAN
  [DEMO] [RECOMMENDATION ONLY -- 不會自動執行]
══════════════════════════════════════════
  Generated: 2026-03-09 14:00 UTC
  Data sources: OKX REST + DeFiLlama + GoPlus
══════════════════════════════════════════

── 可對沖 LP 池掃描結果 ─────────────────────

  #1  ETH-USDC 0.3% (Uniswap V3 / Arbitrum)
  ├─ TVL:              $45,200,000
  ├─ 費用 APR:         5.20%
  ├─ 激勵 APR:         42.00% (ARB rewards, 65 天剩餘)
  ├─ 總 APR:           47.20%
  ├─ OKX Perp:         ETH-USDT-SWAP [SAFE]
  ├─ 資金費率 (年化):   +8.50% (做空收取)
  ├─ 預估淨收益:        38.30%
  ├─ 安全檢查:          [SAFE] GoPlus verified
  └─ 風險:             ▓▓▓░░░░░░░ 3/10

  #2  AVAX-USDC 0.3% (Trader Joe / Avalanche)
  ├─ TVL:              $3,200,000
  ├─ 費用 APR:         3.50%
  ├─ 激勵 APR:         38.00% (JOE rewards, 20 天剩餘)
  ├─ 總 APR:           41.50%
  ├─ OKX Perp:         AVAX-USDT-SWAP [SAFE]
  ├─ 資金費率 (年化):   +6.20% (做空收取)
  ├─ 預估淨收益:        31.20%
  ├─ 安全檢查:          [WARN] 激勵計劃剩餘不足 30 天
  └─ 風險:             ▓▓▓▓▓▓░░░░ 6/10

──────────────────────────────────────────
  已掃描 142 個池 | 符合條件: 2 個
  篩選: APY >= 30%, TVL >= $1M, OKX 永續合約可用

13.2 Evaluate Output

══════════════════════════════════════════
  LP Hedge -- EVALUATE
  [DEMO] [RECOMMENDATION ONLY -- 不會自動執行]
══════════════════════════════════════════
  Generated: 2026-03-09 14:30 UTC
  Data sources: OKX REST + DeFiLlama + GoPlus
══════════════════════════════════════════

── ETH-USDC 0.3% on Uniswap V3 (Arbitrum) ──

  LP 類型:            V3 Concentrated (±10%)
  倉位規模:           $50,000.00
  持有期:             90 天

── 市場數據 ──────────────────────────────

  ETH 現價:           $3,000.00
  ETH-USDT-SWAP:      資金費率 +0.01% / 8h (年化 +10.95%)
  池 TVL:             $45,200,000
  池 24h 交易量:       $8,500,000

── 對沖參數 ──────────────────────────────

  LP Delta:           0.65 (V3 ±10% concentrated)
  ETH in LP:          $25,000.00 (8.333 ETH)
  Short ETH:          5.417 ETH ($16,250.00)
  保證金需求:          $16,250.00 (1x, 全額抵押)
  總資金需求:          $50,000 (LP) + $16,250 (margin) = $66,250

── 收益分析 (90 天) ─────────────────────

  收入:
  ├─ LP 費用收入:     +$616.44   (5.0% APR * $50K * 90/365)
  ├─ 激勵獎勵:        +$4,931.51  (40.0% APR * $50K * 90/365)
  ├─ 資金費率收入:     +$438.70   (10.95% * $16,250 * 90/365, 正 funding = 做空收取)
  └─ 小計:            +$5,986.65

  成本:
  ├─ 殘餘 IL:          -$36.99   (0.3% * $50K * 90/365)
  ├─ 再平衡成本:       -$150.00  (~$25/次 * 6次, Arbitrum L2)
  ├─ LP 進場 Gas:      -$1.00    (Arbitrum)
  ├─ 對沖進場手續費:   -$8.13    ($16,250 * 0.050%)
  ├─ LP 退場成本:      -$2.50    (gas + slippage)
  ├─ 對沖平倉手續費:   -$8.13    ($16,250 * 0.050%)
  └─ 小計:            -$206.74

  ───────────────────────────────────
  淨利潤:             +$5,779.91
  年化淨收益:          46.87% APR
  損益平衡:            3.2 天
  利潤/成本比:         27.95x

── 情境分析 ──────────────────────────────

  情境               | ETH 價格   | 淨 PnL    | 年化淨收益
  ───────────────────┼───────────┼──────────┼──────────
  價格不變 (±0%)     | $3,000    | +$5,779  | 46.87%
  價格 +20%          | $3,600    | +$5,350  | 43.39%
  價格 -20%          | $2,400    | +$5,280  | 42.82%
  價格 +50%          | $4,500    | +$4,150  | 33.66%
  價格 -50%          | $1,500    | +$3,890  | 31.54%

  NOTE: 價格大幅波動時需更頻繁 rebalance,成本上升,收益略降。
  上述已計入殘餘 IL 和額外 rebalance 成本估算。

── 安全檢查 & 風險 ──────────────────────

  [SAFE] OKX MCP, LP Token, ARB Token, ETH-USDT-SWAP -- all verified
  [WARN] 資金費率 +10.95% 年化 -- 目前做空有利,但可能轉負
  Overall: [SAFE]  ▓▓▓░░░░░░░ 3/10 MODERATE-LOW

── Recommendation ────────────────────────

  建議執行:年化 46.87%,3.2 天損益平衡,Arbitrum gas 極低
  注意:激勵結束後降至 ~5%,需監控資金費率,每 1-2 週 rebalance

══════════════════════════════════════════
  Next Steps
══════════════════════════════════════════
  1. lp-hedge hedge-calc --asset ETH --size-usd 50000 --lp-type v3_concentrated --range-pct 10
  2. 手動: LP $50K (Arb Uni V3 ±10%) + OKX short 5.417 ETH ($16,250 margin)
  3. lp-hedge rebalance-check --asset ETH --entry-price 3000 --short-amount 5.417 ...

  ── Disclaimer ────────────────────────────
  以上僅為分析建議,不會自動執行任何交易。所有建議均需人工審核後手動操作。
  過去收益及資金費率不代表未來表現。激勵計劃可能提前結束或無預警變更。
══════════════════════════════════════════

13.3 Hedge-Calc Output

Standard header + hedge parameters (delta, short amount, margin), rebalance trigger table (±20%/±10%/±5%/24h rules), cost per rebalance breakdown, annual rebalance cost estimate. See Section 12 for trigger rules and Section 9.6 for cost formulas.

13.4 Rebalance-Check Output

Standard header + current vs required hedge comparison, price change %, adjustment direction and amount, decision (REBALANCE_NOW/WAIT/NO_CHANGE), triggered rule, adjustment cost, and step-by-step instructions.

Every output ends with: Next Steps (1-3 actionable commands), Related Commands, and the standard Disclaimer (analysis only, no auto-execution, bilingual ZH/EN).


14. Error Codes & Recovery

Code Condition User Message (ZH) User Message (EN) Recovery
MCP_NOT_CONNECTED okx-trade-mcp unreachable MCP 伺服器無法連線。請確認 okx-trade-mcp 是否正在運行。 MCP server unreachable. Check if okx-trade-mcp is running. Verify config, restart server.
AUTH_FAILED API key invalid or expired API 認證失敗,請檢查 OKX API 金鑰設定 API authentication failed. Check OKX API key configuration. Update ~/.okx/config.toml
DEFI_DATA_UNAVAILABLE DeFiLlama MCP unreachable DeFi 池數據服務無法連線。LP 掃描功能不可用。 DeFi pool data service unreachable. LP scan unavailable. Check DeFiLlama MCP status. Cannot degrade gracefully -- DeFi data is essential.
SECURITY_UNAVAILABLE GoPlus MCP unreachable 安全檢查服務暫時無法使用,請謹慎操作 Security check service unavailable. Proceed with extreme caution. Retry once, then WARN and continue with disclaimer.
NO_PERP_AVAILABLE No OKX perpetual swap for the volatile asset {asset} 在 OKX 沒有永續合約,無法對沖 No perpetual swap available for {asset} on OKX. Cannot hedge. Suggest alternative assets with perps.
INSUFFICIENT_YIELD Pool total APY < 30% 池 APY ({apy}%) 低於 30% 門檻,扣除對沖成本後不具盈利性 Pool APY ({apy}%) below 30% threshold. Not profitable after hedge costs. Show full cost breakdown. Suggest yield-optimizer for non-hedged options.
INSUFFICIENT_LIQUIDITY Pool TVL < $1M 池 TVL (${tvl}) 不足 $1M,深度不足以安全進出場 Pool TVL (${tvl}) below $1M minimum. Insufficient depth for safe entry/exit. Suggest larger pools or different chains.
INCENTIVE_ENDING Incentive program ending soon 激勵計劃剩餘 {days} 天。結束後淨收益可能為負。 Incentive program ends in {days} days. Net yield may turn negative after. Calculate post-incentive net yield. If negative, BLOCK.
FUNDING_TOO_HIGH Funding rate > 20% annualized as a cost 資金費率年化 {rate}% 偏高,對沖成本過大 Funding rate annualized {rate}% is high. Hedge cost excessive. Show net yield with and without hedge. Consider partial hedge.
POSITION_TOO_SMALL Position < $50K 倉位 ${size} 低於建議最低 $50K,再平衡成本佔比偏高 Position ${size} below recommended $50K minimum. Rebalance costs disproportionate. Show rebalance cost as % of position. Allow if user insists.
POSITION_SIZE_EXCEEDED Position > $1M hard cap 倉位金額 ${amount} 超過上限 $1,000,000 Position size ${amount} exceeds $1,000,000 limit. Cap at limit.
INSTRUMENT_NOT_FOUND OKX instrument query returns empty 找不到指定的交易工具 Specified instrument not found on OKX. Check instrument ID format.
DATA_STALE Market data > 60s old 市場數據已過期,正在重新獲取... Market data stale. Refetching... Auto-retry once, then error.
RATE_LIMITED API rate limit hit API 請求頻率超限,{wait}秒後重試 API rate limit reached. Retrying in {wait}s. Wait 1s, retry up to 3x.
NOT_PROFITABLE Net P&L is zero or negative 扣除所有成本後淨利潤為負({net_pnl}),不建議執行 Net profit is negative after all costs ({net_pnl}). Not recommended. Show full cost breakdown.
SECURITY_BLOCKED GoPlus flags LP token or reward token 安全檢查未通過:{reason}。已從推薦中移除。 Security check failed: {reason}. Removed from recommendations. Show specific GoPlus findings. Do not proceed.

Conversation Examples

Example 1: "有冇得做 LP 挖礦順便對沖嘅?"

Command: scan -> DeFiLlama pools (>30% APY, >$1M TVL) x OKX perps -> GoPlus check -> rank by net yield -> output (13.1)

Example 2: "ETH-USDC LP on Uniswap V3 Arbitrum 值唔值得做 delta neutral?"

Command: evaluate --pool "ETH-USDC" --protocol "Uniswap V3" --chain arbitrum -> pool data + spot + funding + orderbook + GoPlus -> full projection + scenarios -> output (13.2)

Example 3: "我想知要 short 幾多 ETH 對沖 $10,000 V2 LP"

Command: hedge-calc --asset ETH --size-usd 10000 --lp-type v2 -> price -> delta=0.50 -> short=0.833 ETH -> rebalance triggers -> output (13.3)

Example 4: "ETH 升咗 15%,我嘅 hedge 要唔要調?"

Command: rebalance-check --asset ETH --entry-price 3000 --short-amount 0.833 --size-usd 10000 --lp-type v2 --hours-since-last 8 -> +15% > 10% AND 8h > 1h -> REBALANCE -> output (13.4)


Cross-Reference

Reference File Sections Used
Formulas references/formulas.md IL formula, funding rate annualization
Fee Schedule references/fee-schedule.md OKX swap fees, gas benchmarks
Safety Checks references/safety-checks.md Full checklist, GoPlus decision matrix
Output Templates references/output-templates.md Header, risk gauge, next steps
Risk Limits config/risk-limits.example.yaml lp_hedge section
GoPlus Tools references/goplus-tools.md check_token_security for LP and reward tokens
Agent Orchestration AGENTS.md LP hedging chain

Note: All content from the above reference files has been inlined in this document for OpenClaw/Lark compatibility. The LLM does not need to read any external files.

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