{"code":"// SPDX-License-Identifier: MIT\npragma solidity ^0.8.24;\n\nimport {AMMStrategyBase} from \"./AMMStrategyBase.sol\";\nimport {TradeInfo} from \"./IAMMStrategy.sol\";\n\ncontract Strategy is AMMStrategyBase {\n    uint256 constant ELAPSED_CAP = 8;\n    uint256 constant SIGNAL_THRESHOLD = WAD / 650;\n    uint256 constant DIR_DECAY = 750000000000000000;\n    uint256 constant ACT_DECAY = 530000000000000000;\n    uint256 constant SIZE_DECAY = 530000000000000000;\n    uint256 constant TOX_DECAY = 910000000000000000;\n    uint256 constant SIGMA_DECAY = 690000000000000000;\n    uint256 constant LAMBDA_DECAY = 990000000000000000;\n    uint256 constant SIZE_BLEND_DECAY = 828000000000000000;\n    uint256 constant TOX_BLEND_DECAY = 51000000000000000;\n    uint256 constant ACT_BLEND_DECAY = 985000000000000000;\n    uint256 constant PHAT_ALPHA = 270000000000000000;\n    uint256 constant PHAT_ALPHA_RETAIL = 60000000000000000;\n    uint256 constant PHAT_ALPHA_SAME = 120000000000000000;\n    uint256 constant REVERT_U = 0;\n    uint256 constant DIR_IMPACT_MULT = 4;\n    uint256 constant GATE_SIGMA_MULT = 7200000000000000000;\n    uint256 constant MIN_GATE = 30000000000000000;\n    uint256 constant TRADE_TOX_BOOST = 3500 * BPS;\n    uint256 constant STALE_ATTRACT_FRAC = 1050000000000000000;\n    uint256 constant RET_CAP = WAD / 35;\n    uint256 constant TOX_CAP = WAD / 5;\n    uint256 constant TRADE_RATIO_CAP = WAD / 5;\n    uint256 constant LAMBDA_CAP = 1820000000000000000;\n    uint256 constant STEP_COUNT_CAP = 64;\n    uint256 constant BASE_FEE = 4 * BPS;\n    uint256 constant SIGMA_COEF = 200000000000000000;\n    uint256 constant LAMBDA_COEF = 12 * BPS;\n    uint256 constant FLOW_SIZE_COEF = 4842 * BPS;\n    uint256 constant TOX_COEF = 300 * BPS;\n    uint256 constant TOX_QUAD_COEF = 15000 * BPS;\n    uint256 constant ACT_COEF = 91843 * BPS;\n    uint256 constant DIR_COEF = 20 * BPS;\n    uint256 constant DIR_TOX_COEF = 100 * BPS;\n    uint256 constant STALE_DIR_COEF = 6850 * BPS;\n    uint256 constant SIGMA_TOX_COEF = 500 * BPS;\n    uint256 constant TAIL_KNEE = 600 * BPS;\n    uint256 constant TAIL_SLOPE_PROTECT = 930000000000000000;\n    uint256 constant TAIL_SLOPE_ATTRACT = 850000000000000000;\n\n    function afterInitialize(uint256 initialX, uint256 initialY) external override returns (uint256, uint256) {\n        slots[0] = BASE_FEE; slots[1] = BASE_FEE; slots[3] = WAD; \n        slots[5] = initialX > 0 ? wdiv(initialY, initialX) : 100 * WAD;\n        slots[6] = 950000000000000; slots[7] = 800000000000000000; slots[8] = 2000000000000000;\n        slots[15] = 400000000000000000 | (uint256(2000000000000000) << 160); slots[13] = 902500000000; slots[14] = slots[5]; \n        return (BASE_FEE, BASE_FEE);\n    }\n\n    function afterSwap(TradeInfo calldata trade) external override returns (uint256, uint256) {\n        uint256 prevBidFee = slots[0]; uint256 prevAskFee = slots[1]; uint256 lastTs = uint64(slots[2]);\n        uint256 dirState = slots[3]; uint256 actEma = slots[4]; uint256 pHat = slots[5];\n        uint256 sigmaHat = slots[6]; uint256 lambdaHat = slots[7]; uint256 sizeHat = slots[8];\n        uint256 toxEma = slots[9]; uint256 stepTradeCount = slots[10];\n\n        uint256 sigmaForFast = sigmaHat;\n        uint256 fastHat = slots[14];\n        uint256 uncertainty = slots[13];\n        uint256 silent = trade.timestamp > lastTs ? trade.timestamp - lastTs : 0;\n        bool isNewStep = trade.timestamp > lastTs;\n        if (isNewStep) {\n            uint256 elapsedRaw = trade.timestamp - lastTs;\n            uint256 elapsed = elapsedRaw > ELAPSED_CAP ? ELAPSED_CAP : elapsedRaw;\n            dirState = _decayCentered(dirState, DIR_DECAY, elapsed);\n            actEma = wmul(actEma, _powWad(ACT_DECAY, elapsed));\n            sizeHat = wmul(sizeHat, _powWad(SIZE_DECAY, elapsed));\n            toxEma = wmul(toxEma, _powWad(TOX_DECAY, elapsed));\n            if (stepTradeCount > 0 && elapsedRaw > 0) {\n                uint256 lambdaInst = (stepTradeCount * WAD) / elapsedRaw;\n                if (lambdaInst > LAMBDA_CAP) lambdaInst = LAMBDA_CAP;\n                lambdaHat = wmul(lambdaHat, LAMBDA_DECAY) + wmul(lambdaInst, WAD - LAMBDA_DECAY);\n            }\n            // Process variance is propagated inside the censored update.\n            if (uncertainty > 100000000000000) uncertainty = 100000000000000;\n            stepTradeCount = 0;\n        }\n\n        bool firstInStep = stepTradeCount == 0;\n        uint256 spot = trade.reserveX > 0 ? wdiv(trade.reserveY, trade.reserveX) : pHat;\n        if (pHat == 0) pHat = spot;\n\n        uint256 feeUsed = trade.isBuy ? prevBidFee : prevAskFee;\n        uint256 gamma = feeUsed < WAD ? WAD - feeUsed : 0;\n        uint256 pImplied;\n        if (gamma == 0) { pImplied = spot; }\n        else { pImplied = trade.isBuy ? wmul(spot, gamma) : wdiv(spot, gamma); }\n\n        // S: infer a no-trade interval center from the last post-trade spot.\n        uint256 silenceScale = WAD;\n        if (firstInStep && silent > 1) {\n            uint256 g = silent - 1;\n            if (g > 1) g = 1;\n            uint256 w = WAD - _powWad(800000000000000000, g);\n            uint256 s = slots[2] >> 64;\n            if (s == 0) s = pHat;\n            uint256 c = (wmul(s, WAD - prevBidFee) + wdiv(s, WAD - prevAskFee)) / 2;\n            if (c >= pHat) pHat += wmul(w, c - pHat);\n            else pHat -= wmul(w, pHat - c);\n            silenceScale = WAD - wmul(300000000000000000, w);\n        }\n\n        {\n            uint256 ret = pHat > 0 ? wdiv(absDiff(pImplied, pHat), pHat) : 0;\n            uint256 alpha = firstInStep ? PHAT_ALPHA : PHAT_ALPHA_RETAIL;\n            uint256 prePhat = pHat;\n            bool secondPrint = !firstInStep && stepTradeCount == 1;\n            bool sameDir = false; bool oppDir = false;\n            if (secondPrint) {\n                bool up2 = pImplied >= pHat;\n                uint256 d1 = slots[12];\n                if (d1 != 0) { sameDir = (d1 == 1) == up2; oppDir = !sameDir; }\n                if (sameDir) alpha = PHAT_ALPHA_SAME;\n            }\n            if (firstInStep) { slots[12] = pImplied >= pHat ? 1 : 2; }\n            uint256 adaptiveGate = wmul(sigmaHat, GATE_SIGMA_MULT);\n            if (adaptiveGate < MIN_GATE) adaptiveGate = MIN_GATE;\n            alpha = wmul(alpha, silenceScale);\n            adaptiveGate = wmul(adaptiveGate, silenceScale);\n            if (ret <= adaptiveGate) { pHat = wmul(pHat, WAD - alpha) + wmul(pImplied, alpha); }\n            if (oppDir && REVERT_U > 0) {\n                uint256 pre = slots[11];\n                if (pre > pHat) pHat = pHat + wmul(pre - pHat, REVERT_U);\n                else pHat = pHat - wmul(pHat - pre, REVERT_U);\n            }\n            if (firstInStep) {\n                if (ret > RET_CAP) ret = RET_CAP;\n                sigmaHat = wmul(sigmaHat, SIGMA_DECAY) + wmul(ret, WAD - SIGMA_DECAY);\n            }\n        }\n\n        // Interior retail routing equalizes fee-adjusted marginal prices.\n        // Subsequent trades in a step cannot be the initial arbitrage trade.\n        if (!firstInStep && feeUsed > 30 * BPS && gamma > 0) {\n            uint256 normalSpot = trade.isBuy\n                ? wdiv(wmul(spot, gamma), WAD - 30 * BPS)\n                : wdiv(wmul(spot, WAD - 30 * BPS), gamma);\n            pHat = wmul(pHat, 90 * WAD / 100) + wmul(normalSpot, 10 * WAD / 100);\n        }\n\n        // Censored assumed-density posterior. No external or future inputs.\n        uint256 arbProbability;\n        (fastHat, uncertainty, arbProbability) = _posterior(PosteriorInput(\n            fastHat, uncertainty, pImplied, spot, slots[2] >> 64,\n            prevBidFee, prevAskFee, firstInStep, silent, trade.isBuy,\n            trade.reserveY > 0 ? wdiv(trade.amountY, trade.reserveY) : 0\n        ));\n        slots[13] = uncertainty;\n        slots[14] = fastHat;\n        uint256 tradeRatio = trade.reserveY > 0 ? wdiv(trade.amountY, trade.reserveY) : 0;\n        if (tradeRatio > TRADE_RATIO_CAP) tradeRatio = TRADE_RATIO_CAP;\n\n        if (tradeRatio > SIGNAL_THRESHOLD) {\n            uint256 push = tradeRatio * DIR_IMPACT_MULT;\n            if (push > WAD / 4) push = WAD / 4;\n            if (trade.isBuy) {\n                dirState = dirState + push;\n                if (dirState > 2 * WAD) dirState = 2 * WAD;\n            } else {\n                dirState = dirState > push ? dirState - push : 0;\n            }\n            actEma = wmul(actEma, ACT_BLEND_DECAY) + wmul(tradeRatio, WAD - ACT_BLEND_DECAY);\n            sizeHat = wmul(sizeHat, SIZE_BLEND_DECAY) + wmul(tradeRatio, WAD - SIZE_BLEND_DECAY);\n            if (sizeHat > WAD) sizeHat = WAD;\n        }\n\n        uint256 tox = pHat > 0 ? wdiv(absDiff(spot, pHat), pHat) : 0;\n        if (tox > TOX_CAP) tox = TOX_CAP;\n        toxEma = wmul(toxEma, TOX_BLEND_DECAY) + wmul(tox, WAD - TOX_BLEND_DECAY);\n        uint256 toxSignal = toxEma;\n        uint256 toxLinear;\n        uint256 toxQuadratic;\n        {\n            uint256 packedAnchor = slots[16];\n            uint256 runMean = uint64(packedAnchor);\n            uint256 sampleCount = packedAnchor >> 64;\n            if (sampleCount < 674) sampleCount++;\n            if (toxEma >= runMean) runMean += (toxEma-runMean)/sampleCount;\n            else runMean -= (runMean-toxEma)/sampleCount;\n            slots[16] = runMean | (sampleCount << 64);\n            toxLinear = _anchorBlend(runMean, toxEma, 712696014807650816);\n            toxQuadratic = _anchorBlend(runMean, toxEma, 1295240753826310656);\n        }\n\n\n        stepTradeCount = stepTradeCount + 1;\n        if (stepTradeCount > STEP_COUNT_CAP) stepTradeCount = STEP_COUNT_CAP;\n\n        uint256 originalLambda = lambdaHat; uint256 originalSize = sizeHat;\n\n        if (342406799193418304 > 0) {\n            uint256 packedFlow = slots[15];\n            uint256 rate = uint80(packedFlow);\n            uint256 count = uint80(packedFlow >> 80);\n            uint256 meanSize = uint80(packedFlow >> 160);\n            if (rate == 0) rate = 400000000000000000;\n            if (meanSize == 0) meanSize = 2000000000000000;\n            if (isNewStep) {\n                uint256 inst = count / silent;\n                if (inst > 3 * WAD) inst = 3 * WAD;\n                uint256 retention = _powWad(999000000000000000, silent > 64 ? 64 : silent);\n                rate = wmul(rate, retention) + wmul(inst, WAD-retention);\n                count = 0;\n            }\n            uint256 weight = firstInStep ? WAD-arbProbability : WAD;\n            uint256 correctedWeight = weight;\n            if (2 == 2) {\n                uint256 missing = wmul(feeUsed, 196030880396139429888);\n                if (missing > 333333333333333376) missing = 333333333333333376;\n                correctedWeight = wdiv(weight, WAD-missing);\n            }\n            count += correctedWeight;\n            uint256 learning = wmul(WAD-999000000000000000, weight);\n            meanSize = _blend(meanSize, tradeRatio, learning);\n            slots[15]=rate | (count << 80) | (meanSize << 160);\n            uint256 retailRate = wmul(rate, 366383424913407168);\n            uint256 retailSize = 2 == 0 ? sizeHat : wmul(meanSize,1883296158119298304);\n            lambdaHat = _blend(lambdaHat,retailRate,342406799193418304);\n            sizeHat = _blend(sizeHat,retailSize,342406799193418304);\n        }\n        uint256 flowSize = wmul(lambdaHat, sizeHat);\n        uint256 fBase = BASE_FEE + wmul(SIGMA_COEF, sigmaHat) + wmul(LAMBDA_COEF, lambdaHat) + wmul(FLOW_SIZE_COEF, flowSize);\n        uint256 fMid = fBase + wmul(TOX_COEF, toxLinear) + wmul(TOX_QUAD_COEF, wmul(toxQuadratic, toxQuadratic)) + wmul(ACT_COEF, actEma);\n        fMid = fMid + wmul(SIGMA_TOX_COEF, wmul(sigmaHat, toxLinear));\n\n        lambdaHat = originalLambda; sizeHat = originalSize;\n        uint256 dirDev; bool sellPressure;\n        if (dirState >= WAD) { dirDev = dirState - WAD; sellPressure = true; }\n        else { dirDev = WAD - dirState; sellPressure = false; }\n\n        uint256 skew = wmul(DIR_COEF, dirDev) + wmul(DIR_TOX_COEF, wmul(dirDev, toxSignal));\n        uint256 bidFee; uint256 askFee;\n        if (sellPressure) {\n            bidFee = fMid + skew;\n            askFee = fMid > skew ? fMid - skew : 0;\n        } else {\n            askFee = fMid + skew;\n            bidFee = fMid > skew ? fMid - skew : 0;\n        }\n\n        {\n            uint256 staleHat = wmul(pHat, 700000000000000000) + wmul(fastHat, 300000000000000000);\n            uint256 staleTox = wdiv(absDiff(spot, staleHat), staleHat);\n            if (staleTox > TOX_CAP) staleTox = TOX_CAP;\n            uint256 staleShift = wmul(STALE_DIR_COEF, staleTox);\n            uint256 attractShift = wmul(staleShift, STALE_ATTRACT_FRAC);\n            if (spot >= staleHat) {\n                bidFee = bidFee + staleShift;\n                askFee = askFee > attractShift ? askFee - attractShift : 0;\n            } else {\n                askFee = askFee + staleShift;\n                bidFee = bidFee > attractShift ? bidFee - attractShift : 0;\n            }\n        }\n\n        {\n            bool tradeAligned = (trade.isBuy && spot >= pHat) || (!trade.isBuy && spot < pHat);\n            if (tradeAligned) {\n                uint256 tradeBoost = wmul(TRADE_TOX_BOOST, tradeRatio);\n                if (!firstInStep && tradeBoost > 16 * BPS) tradeBoost = 16 * BPS;\n                if (trade.isBuy) { bidFee = bidFee + tradeBoost; }\n                else { askFee = askFee + tradeBoost; }\n            }\n        }\n\n        if (sellPressure) {\n            bidFee = clampFee(_compressTailWithSlope(bidFee, TAIL_SLOPE_PROTECT));\n            askFee = clampFee(_compressTailWithSlope(askFee, TAIL_SLOPE_ATTRACT));\n        } else {\n            askFee = clampFee(_compressTailWithSlope(askFee, TAIL_SLOPE_PROTECT));\n            bidFee = clampFee(_compressTailWithSlope(bidFee, TAIL_SLOPE_ATTRACT));\n        }\n\n        if (firstInStep) {\n            if (askFee > bidFee && bidFee > 30 * BPS) bidFee = 30 * BPS;\n            else if (bidFee > askFee && askFee > 30 * BPS) askFee = 30 * BPS;\n        }\n\n        if (bidFee > askFee && askFee > 36 * BPS) askFee = 36 * BPS;\n        else if (askFee > bidFee && bidFee > 36 * BPS) bidFee = 36 * BPS;\n\n        slots[0] = bidFee; slots[1] = askFee; slots[2] = (spot << 64) | trade.timestamp;\n        slots[3] = dirState; slots[4] = actEma; slots[5] = pHat;\n        slots[6] = sigmaHat; slots[7] = lambdaHat; slots[8] = sizeHat;\n        slots[9] = toxEma; slots[10] = stepTradeCount;\n\n        return (bidFee, askFee);\n    }\n\n\n\n    function _anchorBlend(uint256 mean, uint256 value, uint256 k) internal pure returns (uint256) {\n        if (k == WAD) return value;\n        if (value >= mean) return mean + wmul(value-mean,k);\n        uint256 delta = wmul(mean-value,k);\n        return delta < mean ? mean-delta : 0;\n    }\n\n    struct PosteriorInput {\n        uint256 mu; uint256 v; uint256 obs; uint256 spot; uint256 preSpot;\n        uint256 bid; uint256 ask; bool first; uint256 silent; bool buy; uint256 size;\n    }\n    function _posterior(PosteriorInput memory x) internal pure returns (uint256, uint256, uint256) {\n        if (x.mu == 0) x.mu = x.spot;\n        if (x.v < 10000000000) x.v = 10000000000;\n        uint256 lo = wmul(x.preSpot, WAD-x.bid);\n        uint256 hi = wdiv(x.preSpot, WAD-x.ask);\n        if (x.first) {\n            if (x.silent>1 && x.preSpot>0) {\n                uint256 elapsed=x.silent>8?8:x.silent;\n                x.v += 902500000000*(elapsed-1);\n                (x.mu,x.v)=_band(x.mu,x.v,lo,hi);\n            }\n            x.v+=902500000000;\n        }\n        uint256 mRetail = x.mu;\n        uint256 vRetail = x.v;\n        // A missing own-pool trade is a censored price observation.\n        if (x.first && x.preSpot > 0) {\n            (mRetail, vRetail) = _band(x.mu, x.v, lo, hi);\n        }\n        if (!x.first) {\n            // A later print is retail. Only an interior route is an observation\n            // of the other pool, with explicit observation uncertainty.\n            uint256 fee = x.buy ? x.bid : x.ask;\n            if (fee > 30 * BPS) {\n                uint256 normal = x.buy ? wdiv(wmul(x.spot, WAD-fee), WAD-30*BPS)\n                    : wdiv(wmul(x.spot, WAD-30*BPS), WAD-fee);\n                uint256 residual = wdiv(absDiff(normal, x.mu),x.mu);\n                uint256 noise = 9000000000000 + wmul(residual,residual);\n                uint256 k = wdiv(x.v,x.v+noise);\n                return (_blend(x.mu,normal,k),wmul(x.v,WAD-k),0);\n            }\n            return (x.mu,x.v,0);\n        }\n        uint256 e = wdiv(absDiff(x.obs,x.mu),x.mu);\n        uint256 totalV = x.v + 22500000000;\n        uint256 z = wdiv(wmul(e,e),totalV);\n        uint256 density = _powWad(wdiv(WAD,WAD+z/8),4);\n        uint256 odds = wmul(density,wdiv(4000000000000000,_isqrt(totalV*WAD)));\n        if (x.size > 3000000000000000) odds = wmul(odds,4*WAD/10);\n        if (x.silent > 1) odds = wmul(odds,8*WAD/10);\n        uint256 sd = _isqrt(x.v*WAD);\n        uint256 width = wdiv(hi-lo,x.mu);\n        uint256 distance = x.mu<lo?lo-x.mu:(x.mu>hi?x.mu-hi:0);\n        uint256 zBand = wdiv(wdiv(distance,x.mu),sd);\n        uint256 mass = wmul(wdiv(width,width+2*sd),wdiv(WAD,WAD+wmul(zBand,zBand)));\n        if (mass < WAD/100) mass = WAD/100;\n        odds = wdiv(odds,mass);\n        uint256 prob = wdiv(odds,WAD+odds);\n        uint256 kArb = wdiv(x.v,totalV);\n        uint256 mArb = _blend(x.mu,x.obs,kArb);\n        uint256 mean = _blend(mRetail,mArb,prob);\n        uint256 between = wdiv(absDiff(mArb,mRetail),x.mu);\n        uint256 variance = wmul(prob,wmul(x.v,WAD-kArb)) + wmul(WAD-prob,vRetail)\n            + wmul(wmul(prob,WAD-prob),wmul(between,between));\n        if (variance > 100000000000000) variance = 100000000000000;\n        return (mean,variance,prob);\n    }\n    function _blend(uint256 a,uint256 b,uint256 w) internal pure returns(uint256) {\n        return b>=a ? a+wmul(b-a,w) : a-wmul(a-b,w);\n    }\n    function _band(uint256 mu,uint256 v,uint256 lo,uint256 hi) internal pure returns(uint256,uint256) {\n        // Soft interval likelihood avoids discontinuities at quadrature nodes.\n        uint256 sd=wmul(mu,_isqrt(v*WAD));\n        uint256[3] memory acc;\n        for(uint256 j=0;j<7;j++) {\n            uint256 p=j<3 ? (mu>(3-j)*sd?mu-(3-j)*sd:1) : mu+(j-3)*sd;\n            uint256 w=j==3?72:(j==2||j==4?45:(j==1||j==5?10:1));\n            uint256 distance=p<lo?lo-p:(p>hi?p-hi:0);\n            uint256 z=sd>0?wdiv(distance,sd):0;\n            uint256 likelihood=wdiv(WAD,WAD+4*wmul(z,z));\n            w=wmul(w*WAD,likelihood);\n            acc[0]+=w;acc[1]+=wmul(w,p);\n            uint256 d=wdiv(absDiff(p,mu),mu);\n            acc[2]+=wmul(w,wmul(d,d));\n        }\n        uint256 m=wdiv(acc[1],acc[0]);\n        uint256 d=wdiv(absDiff(m,mu),mu);\n        uint256 second=wdiv(acc[2],acc[0]);\n        return(m,second>wmul(d,d)?second-wmul(d,d):10000000000);\n    }\n\n    function _compressTailWithSlope(uint256 fee, uint256 slope) internal pure returns (uint256) {\n        if (fee <= TAIL_KNEE) return fee;\n        return TAIL_KNEE + wmul(fee - TAIL_KNEE, slope);\n    }\n\n    function _powWad(uint256 factor, uint256 exp) internal pure returns (uint256 result) {\n        result = WAD;\n        while (exp > 0) {\n            if (exp & 1 == 1) result = wmul(result, factor);\n            factor = wmul(factor, factor);\n            exp >>= 1;\n        }\n    }\n\n    function _decayCentered(uint256 centered, uint256 decayFactor, uint256 elapsed) internal pure returns (uint256) {\n        uint256 mul = _powWad(decayFactor, elapsed);\n        if (centered >= WAD) { return WAD + wmul(centered - WAD, mul); }\n        uint256 below = wmul(WAD - centered, mul);\n        return below < WAD ? WAD - below : 0;\n    }\n\n    // Floor square root: bit-length seed and seven Newton steps (all uint256).\n    function _isqrt(uint256 x) internal pure returns (uint256 r) {\n        if (x == 0) return 0;\n        unchecked {\n            uint256 y = x;\n            r = 1;\n            if (y >> 128 != 0) { y >>= 128; r <<= 64; }\n            if (y >> 64 != 0) { y >>= 64; r <<= 32; }\n            if (y >> 32 != 0) { y >>= 32; r <<= 16; }\n            if (y >> 16 != 0) { y >>= 16; r <<= 8; }\n            if (y >> 8 != 0) { y >>= 8; r <<= 4; }\n            if (y >> 4 != 0) { y >>= 4; r <<= 2; }\n            if (y >> 2 != 0) { r <<= 1; }\n            r = (r + x / r) >> 1;\n            r = (r + x / r) >> 1;\n            r = (r + x / r) >> 1;\n            r = (r + x / r) >> 1;\n            r = (r + x / r) >> 1;\n            r = (r + x / r) >> 1;\n            r = (r + x / r) >> 1;\n            uint256 t = x / r;\n            return r < t ? r : t;\n        }\n    }\n\n    function getName() external pure override returns (string memory) { return \"censored_10\"; }\n}\n","sha256":"ebd9de9bf6af6e55d5e308fd15dbb88edec11fd684891d02a30aec185acd19b3","blocked":null,"valid":true,"complete":true,"seeds":{"start":5116000,"end":5117999,"inclusive":true,"n":2000,"fresh":true},"paired_baseline":"RS2","paired":{"n":2000,"mean_diff":0.3098639794175051,"se":0.017724992231982924,"worst":[{"seed":5117889,"d":-6.315827280445717},{"seed":5116111,"d":-5.839634133523418},{"seed":5116890,"d":-4.919412675564331},{"seed":5116547,"d":-3.8969971125339953},{"seed":5116546,"d":-3.1463994654919816}],"sum_d":619.7279588350102,"sum_d2":1448.1044192770767},"retail_edge_delta":{"mean":-0.6942415511765455,"se":0.018791898492060484,"n":2000,"sum_d":-1388.483102353091,"sum_d2":2375.7781876057807},"arb_edge_delta":{"mean":1.0041055305940518,"se":0.011513978815448652,"n":2000,"sum_d":2008.2110611881035,"sum_d2":2546.477522373201},"reconciliation_max_abs":1.1368683772161603e-13,"vs_stack":{"paired":{"n":2000,"mean_diff":0.6291869145639976,"se":0.01957239116807522,"worst":[{"seed":5116111,"d":-5.790743376714545},{"seed":5117889,"d":-5.551865951839318},{"seed":5117969,"d":-3.3738667636168884},{"seed":5117979,"d":-3.252098397101861},{"seed":5116019,"d":-3.214457739543832}],"sum_d":1258.3738291279951,"sum_d2":2323.30017406965},"retail_edge_delta":{"mean":-0.3280506205121496,"se":0.02052276250945553,"n":2000,"sum_d":-656.1012410242993,"sum_d2":1899.127175752828},"arb_edge_delta":{"mean":0.9572375350761491,"se":0.013082377251495143,"n":2000,"sum_d":1914.475070152298,"sum_d2":2516.859478129973},"reconciliation_max_abs":1.1368683772161603e-13},"gas":{"max_ok":226178,"init_max_ok":243115,"oog":0,"other_halts":0},"arms":{"candidate":{"sha256":"ebd9de9bf6af6e55d5e308fd15dbb88edec11fd684891d02a30aec185acd19b3","n":2000,"chunks":100,"gas":{"max_ok":226178,"init_max_ok":243115,"oog":0,"other_halts":0},"raw_counters":[{"role":"Baseline","callback":"afterInitialize","calls":2000,"ok":2000,"max_ok_gas":21796,"sum_ok_gas":43592000,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Baseline","callback":"afterSwap","calls":21477245,"ok":21477245,"max_ok_gas":22592,"sum_ok_gas":484590191896,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Baseline","callback":"getName","calls":2000,"ok":2000,"max_ok_gas":21526,"sum_ok_gas":43052000,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Submission","callback":"afterInitialize","calls":2000,"ok":2000,"max_ok_gas":243115,"sum_ok_gas":486230000,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Submission","callback":"afterSwap","calls":20669936,"ok":20669936,"max_ok_gas":226178,"sum_ok_gas":2557867999539,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Submission","callback":"getName","calls":2000,"ok":2000,"max_ok_gas":21623,"sum_ok_gas":43246000,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0}],"means":{"edge":528.1154420633552,"retail":554.9909769765504,"arb":-26.875534913195274},"rows_sha256":"a4637a2a531a83ec5b63ff43063663f1cb782ecbe0a520f236c188005f9679e5","chunks_sha256":"3fffcbc0d04d45cf6182ded05547205e01bb66affe029fcb3c8189eae3b666cc"},"RS2":{"sha256":"f24b6ca198b744c380842c3a17964a6dc21f311bb04984b26733afa3fee8eaf2","n":2000,"chunks":100,"gas":{"max_ok":203078,"init_max_ok":243099,"oog":0,"other_halts":0},"raw_counters":[{"role":"Baseline","callback":"afterInitialize","calls":2000,"ok":2000,"max_ok_gas":21796,"sum_ok_gas":43592000,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Baseline","callback":"afterSwap","calls":21433843,"ok":21433843,"max_ok_gas":22592,"sum_ok_gas":483610902200,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Baseline","callback":"getName","calls":2000,"ok":2000,"max_ok_gas":21526,"sum_ok_gas":43052000,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Submission","callback":"afterInitialize","calls":2000,"ok":2000,"max_ok_gas":243099,"sum_ok_gas":486198000,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Submission","callback":"afterSwap","calls":20745982,"ok":20745982,"max_ok_gas":203078,"sum_ok_gas":2443008352610,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Submission","callback":"getName","calls":2000,"ok":2000,"max_ok_gas":21607,"sum_ok_gas":43214000,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0}],"means":{"edge":527.8055780839378,"retail":555.6852185277271,"arb":-27.879640443789324},"rows_sha256":"020aa569490167942318b66e6dc19db1c4423796f9e412021503a6183ff1002d","chunks_sha256":"5ef7d6db6fd8a99b73b5bab572156e6d46c0e629ba5980331391a636251367d9"},"STACK":{"sha256":"2eaafc7960e520b8a7fd322ec8afaff8fa677c730228a961efb509cc30b25719","n":2000,"chunks":100,"gas":{"max_ok":213581,"init_max_ok":220962,"oog":0,"other_halts":0},"raw_counters":[{"role":"Baseline","callback":"afterInitialize","calls":2000,"ok":2000,"max_ok_gas":21796,"sum_ok_gas":43592000,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Baseline","callback":"afterSwap","calls":21534675,"ok":21534675,"max_ok_gas":22592,"sum_ok_gas":485886098748,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Baseline","callback":"getName","calls":2000,"ok":2000,"max_ok_gas":21526,"sum_ok_gas":43052000,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Submission","callback":"afterInitialize","calls":2000,"ok":2000,"max_ok_gas":220962,"sum_ok_gas":441924000,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Submission","callback":"afterSwap","calls":20719444,"ok":20719444,"max_ok_gas":213581,"sum_ok_gas":2038904491514,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Submission","callback":"getName","calls":2000,"ok":2000,"max_ok_gas":21576,"sum_ok_gas":43152000,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0}],"means":{"edge":527.4862551487912,"retail":555.3190275970626,"arb":-27.832772448271427},"rows_sha256":"96ce98b274c57e7b7c52167f88971a4a0bb5fd8fb8427a3454179e37e8887878","chunks_sha256":"cd99903b918fb9d065ce20c6336fbe4d1664fc69cbd74287e886f4c2da92bcdb"}},"calibration":{"mean":525.5258821780834,"expected":525.5258821780834,"tolerance":1e-06,"valid":true,"gas":[{"role":"Baseline","callback":"afterInitialize","calls":1000,"ok":1000,"max_ok_gas":21796,"sum_ok_gas":21796000,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Baseline","callback":"afterSwap","calls":10741746,"ok":10741746,"max_ok_gas":22592,"sum_ok_gas":242365461576,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Baseline","callback":"getName","calls":1000,"ok":1000,"max_ok_gas":21526,"sum_ok_gas":21526000,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Submission","callback":"afterInitialize","calls":1000,"ok":1000,"max_ok_gas":185532,"sum_ok_gas":185532000,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Submission","callback":"afterSwap","calls":10445223,"ok":10445223,"max_ok_gas":151647,"sum_ok_gas":811927105393,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Submission","callback":"getName","calls":1000,"ok":1000,"max_ok_gas":21530,"sum_ok_gas":21530000,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0}]},"freeze":{"hashes":{"C":"ebd9de9bf6af6e55d5e308fd15dbb88edec11fd684891d02a30aec185acd19b3","R":"f24b6ca198b744c380842c3a17964a6dc21f311bb04984b26733afa3fee8eaf2","K":"2eaafc7960e520b8a7fd322ec8afaff8fa677c730228a961efb509cc30b25719"},"start":5116000,"end":5117999,"n":2000,"timestamp":1794194910.580199},"method":{"steps":10000,"batch_size":20,"threads":8,"opponents":"Each arm alone against VanillaStrategy; never arms against each other.","price_seed":"s","retail_seed":"s+1","rng":"numpy.random.default_rng(s): uniform size [19,21), rate [0.6,1), sigma [0.000882,0.001008), in that order.","standard_error":"sample SD (ddof=1) / sqrt(n)","worst":"five smallest per-seed candidate-minus-baseline edge differences","components":"H.harness_source decomposition: arb edge is negative reconstructed arbitrageur profit; retail edge = total submission edge - arb edge. Initial bid/ask fees 0.0004 for all arms.","gas_scope":"Top-level gas is candidate arm, both roles, all 100 chunks. Per-arm raw_counters include submission and VanillaStrategy baseline. max_ok excludes initialization. other_halts sums revert, other_halt, tx_error, bad_return. Any error in any arm invalidates comparison.","scheduling":"CH calibration, then candidate, then RS2; STACK started in a separate process after candidate completed while RS2 was partially complete. Each process has separate simulator gas counters. K.sol was temporarily renamed K.frozen.sol without changing bytes so primary driver could not start a duplicate STACK arm. Primary stops at that missing source after completing RS2. Source restored only after primary exit.","no_selection":"Single exact candidate; no tuning, confirmation retries, seed dropping, or selection."},"provenance":{"artifact_urls":{"C":"https://api.imd.fun/artifacts/6ac5e013b7b1fb4c5e7bdcdfec0aba28b16824e18ccf39500f258533879faffe","R":"https://api.imd.fun/artifacts/19f2ec857df536e8ab62ab1da89ec6623332521ce46849f15bccff402c63e1e5","K":"https://api.imd.fun/artifacts/c33720874aa1285e9dc766540b8a90410118a8e8b840d949ea0dcc211bdb27c1","H":"https://api.imd.fun/artifacts/26cb8e86f05170308de2a4b24821ac7fad2a17077f8d94af6e0f31985343fe89"},"simulator_commit":"6b6921f8d463314aa7c96234e1be25a25245f704","wheel_sha256":"aedb68280aca34c110968f00148387c95885207913fb2cf19a1ab4c5cfd6887a","measurements":"Locally measured once with the embedded reproducible sources; source artifact historical results are not used as confirmation results."},"reproduction":{"setup_source":"set -eu;R=$PWD/scratch;mkdir -p $R/tmp $R/bin $R/solcx\necho \"export TMPDIR=$R/tmp XDG_CACHE_HOME=$R/xc UV_CACHE_DIR=$R/uvc UV_PYTHON_INSTALL_DIR=$R/uvpy SOLCX_BINARY_PATH=$R/solcx VIRTUAL_ENV=$PWD/.venv PATH=$PWD/.venv/bin:$R/bin:\\$PATH\" >$R/env.sh;. $R/env.sh\ncommand -v uv >/dev/null||{ curl -LsSf https://github.com/astral-sh/uv/releases/latest/download/uv-x86_64-unknown-linux-gnu.tar.gz|tar --no-same-owner -xz -C $R/tmp;cp $R/tmp/uv-*/uv $R/bin/;}\nW=amm_sim_rs-0.1.0.post1-cp310-abi3-manylinux2014_x86_64.manylinux_2_17_x86_64.whl;curl -LsSf https://github.com/gtmcknight/amm-sim/releases/download/sim-6b6921f8/$W -o $R/$W\necho \"aedb68280aca34c110968f00148387c95885207913fb2cf19a1ab4c5cfd6887a  $R/$W\"|sha256sum -c -\nuv venv --python 3.12 .venv;uv pip install $R/$W numpy py-solc-x==2.1.0 pyrevm==0.3.7;uv pip install --no-deps -e .\npython -c \"import solcx;solcx.install_solc('0.8.24')\"\namm-match validate contracts/src/StarterStrategy.sol\n","harness_source":"\"\"\"Run from the pinned amm-challenge checkout, with the brief's environment active.\npython harness.py --start 5000000 --n 2000 --out measured.json candidate.sol STACK.sol\nDo not use confirmation seeds to choose or change a strategy.\n\"\"\"\nimport argparse,hashlib,json,math\nfrom pathlib import Path\nimport numpy as np\nimport amm_sim_rs as sim\nfrom amm_competition.evm.compiler import SolidityCompiler\n\n\ndef configs(start,n):\n    configs=[]\n    for seed in range(start,start+n):\n        rng=np.random.default_rng(seed)\n        size=rng.uniform(19.,21.)\n        rate=rng.uniform(.6,1.)\n        sigma=rng.uniform(.000882,.001008)\n        configs.append(sim.SimulationConfig(n_steps=10000,initial_price=100.,\n            initial_x=100.,initial_y=10000.,gbm_mu=0.,gbm_sigma=sigma,gbm_dt=1.,\n            retail_arrival_rate=rate,retail_mean_size=size,retail_size_sigma=1.2,\n            retail_buy_prob=.5,seed=seed))\n    return configs\n\n\ndef decomposition(r,initial_fee=.0004):\n    # Fees are outside reserves, so k stays fixed up to floating-point roundoff.\n    # The arb acts before retail, using the preceding step's final spot and fees.\n    steps=r.steps\n    fair=np.array([s.fair_price for s in steps])\n    spots=np.array([r.initial_fair_price]+[s.spot_prices['submission'] for s in steps[:-1]])\n    bids=np.array([initial_fee]+[s.fees['submission'][0] for s in steps[:-1]])\n    asks=np.array([initial_fee]+[s.fees['submission'][1] for s in steps[:-1]])\n    x0,y0=r.initial_reserves['submission'];k=x0*y0\n    x=np.sqrt(k/spots);y=np.sqrt(k*spots)\n    ga=1-asks;gb=1-bids\n    out=np.minimum(np.maximum(x-np.sqrt(k/(ga*fair)),0),.99*x)\n    paid=(k/(x-out)-y)/ga\n    buyprofit=np.where(out>0,np.maximum(out*fair-paid,0),0)\n    gross=np.maximum((np.sqrt(k*gb/fair)-x)/gb,0)\n    received=y-k/(x+gb*gross)\n    sellprofit=np.where(gross>0,np.maximum(received-gross*fair,0),0)\n    arb=-float(np.sum(np.where(spots<fair,buyprofit,sellprofit)))\n    return arb,r.edges['submission']-arb\n\n\ndef aggregate(chunks):\n    out={}\n    for chunk in chunks:\n        for row in chunk['raw']:\n            key=(row['role'],row['callback'])\n            dest=out.setdefault(key,{'role':row['role'],'callback':row['callback']})\n            for k,v in row.items():\n                if k in ['role','callback']:continue\n                dest[k]=max(dest.get(k,0),v) if k=='max_ok_gas' else dest.get(k,0)+v\n    return list(out.values())\n\n\ndef run(source,start,n,vanilla,compiler):\n    compiled=compiler.compile(source)\n    assert compiled.success,compiled.errors\n    rows=[];chunks=[]\n    for first in range(start,start+n,20):\n        count=min(20,start+n-first)\n        sim.gas_stats_reset()\n        batch=sim.run_batch(list(compiled.bytecode),list(vanilla),configs(first,count),8)\n        results=batch.results\n        assert sorted(r.seed for r in results)==list(range(first,first+count))\n        for r in results:\n            arb,retail=decomposition(r)\n            rows.append({'seed':r.seed,'edge':r.edges['submission'],'arb':arb,'retail':retail})\n        chunks.append({'start':first,'raw':sim.gas_stats()})\n        del results,batch\n    return {'sha256':hashlib.sha256(source.encode()).hexdigest(),'rows':rows,\n            'raw_counters':aggregate(chunks),'chunks':chunks}\n\n\ndef stats(d):\n    d=np.asarray(d,dtype=float)\n    return {'mean':float(d.mean()),'se':float(d.std(ddof=1)/np.sqrt(len(d)))}\n\n\ndef compare(candidate,stack):\n    a={r['seed']:r for r in candidate['rows']};b={r['seed']:r for r in stack['rows']}\n    assert a.keys()==b.keys()\n    seeds=sorted(a)\n    d=np.array([a[s]['edge']-b[s]['edge'] for s in seeds])\n    arb=np.array([a[s]['arb']-b[s]['arb'] for s in seeds])\n    retail=np.array([a[s]['retail']-b[s]['retail'] for s in seeds])\n    assert np.max(np.abs(d-arb-retail))<1e-8\n    summary=stats(d)\n    return {'paired':{'n':len(d),'mean_diff':summary['mean'],'se':summary['se'],\n                'worst':[{'seed':seeds[i],'d':float(d[i])} for i in np.argsort(d)[:5]]},\n            'retail_edge_delta':stats(retail),'arb_edge_delta':stats(arb),\n            'reconciliation_max_abs':float(np.max(np.abs(d-arb-retail)))}\n\n\nif __name__=='__main__':\n    p=argparse.ArgumentParser()\n    p.add_argument('--start',type=int,required=True);p.add_argument('--n',type=int,required=True)\n    p.add_argument('--out',required=True);p.add_argument('candidate');p.add_argument('stack')\n    args=p.parse_args()\n    compiler=SolidityCompiler()\n    vanilla=compiler.compile(Path('contracts/src/VanillaStrategy.sol').read_text(),'VanillaStrategy')\n    assert vanilla.success,vanilla.errors\n    candidate=run(Path(args.candidate).read_text(),args.start,args.n,vanilla.bytecode,compiler)\n    stack=run(Path(args.stack).read_text(),args.start,args.n,vanilla.bytecode,compiler)\n    out=compare(candidate,stack);out.update(candidate=candidate,stack=stack)\n    errors=['oog','revert','other_halt','tx_error','bad_return']\n    out['valid']=all(not any(row.get(e,0) for e in errors)\n        for arm in [candidate,stack] for row in arm['raw_counters'])\n    Path(args.out).write_text(json.dumps(out,allow_nan=False))\n    print(json.dumps({k:v for k,v in out.items() if k not in ['candidate','stack']}))\n","harness_sha256":"b8a1e110d746241c7201c95dd7e519f1388efffe7eaa0badeda30c3474e2447b","parallel_stack_source":"from pathlib import Path\nsource=Path('scratch/confirm-original.py').read_text().split(\"ch=run('CH',0,1000)\")[0]\nsource=source.replace(\"source=(p/(name+'.sol')).read_text()\", \"source=(p/('K.frozen.sol' if name=='K' else name+'.sol')).read_text()\")\nexec(source)\nfreeze=json.loads((p/'freeze.json').read_text())\nassert hashlib.sha256((p/'K.frozen.sol').read_bytes()).hexdigest()==freeze['hashes']['K']\nrun('K',5116000,2000)\nprint('STACK_COMPLETE',round(time.time()-started,1),flush=True)\n","confirmation_source":"import json,time,hashlib,math\nfrom pathlib import Path\nimport numpy as np\nimport harness as h\np=Path('scratch'); started=time.time()\nc=h.SolidityCompiler();v=c.compile(Path('contracts/src/VanillaStrategy.sol').read_text(),'VanillaStrategy');assert v.success,v.errors\nerrors=['oog','revert','other_halt','tx_error','bad_return']\ndef run(name,start,n):\n source=(p/(name+'.sol')).read_text(); compiled=c.compile(source); assert compiled.success,compiled.errors\n rows=[];chunks=[]\n for first in range(start,start+n,20):\n  count=min(20,start+n-first); h.sim.gas_stats_reset()\n  batch=h.sim.run_batch(list(compiled.bytecode),list(v.bytecode),h.configs(first,count),8)\n  results=batch.results;assert sorted(r.seed for r in results)==list(range(first,first+count))\n  raw=h.sim.gas_stats();chunks.append({'start':first,'n':count,'raw':raw})\n  for r in results:\n   arb,retail=h.decomposition(r);rows.append({'seed':r.seed,'edge':r.edges['submission'],'arb':arb,'retail':retail})\n  del results,batch\n  out={'sha256':hashlib.sha256(source.encode()).hexdigest(),'rows':rows,'raw_counters':h.aggregate(chunks),'chunks':chunks}\n  (p/(name+'-measured.json')).write_text(json.dumps(out,allow_nan=False))\n  print(name,first+count-start,'/',n,'elapsed',round(time.time()-started,1),flush=True)\n return out\nch=run('CH',0,1000);mean=float(np.mean([r['edge'] for r in ch['rows']]))\ncal={'mean':mean,'expected':525.5258821780834,'tolerance':1e-6,'valid':abs(mean-525.5258821780834)<=1e-6,'gas':ch['raw_counters']}\n(p/'calibration.json').write_text(json.dumps(cal));assert cal['valid'],cal\nassert all(not row.get(e,0) for row in ch['raw_counters'] for e in errors)\nfreeze={name:hashlib.sha256((p/(name+'.sol')).read_bytes()).hexdigest() for name in ['C','R','K']}\n(p/'freeze.json').write_text(json.dumps({'hashes':freeze,'start':5116000,'end':5117999,'n':2000,'timestamp':time.time()}))\nfor name in ['C','R','K']:\n assert hashlib.sha256((p/(name+'.sol')).read_bytes()).hexdigest()==freeze[name]\n run(name,5116000,2000)\nprint('COMPLETE',round(time.time()-started,1),flush=True)\n","commands":["git clone https://github.com/benedictbrady/amm-challenge amm-challenge","cd amm-challenge","git checkout 6b6921f8d463314aa7c96234e1be25a25245f704","mkdir -p scratch","Write setup_source to scratch/setup.sh, harness_source to scratch/harness.py, confirmation_source to scratch/confirm.py. Fetch artifact_urls C/R/K and write each JSON code verbatim to scratch/C.sol, scratch/R.sol, scratch/K.sol. Verify their sha256 values against arms. Fetch CH from calibration source in artifact H and write to scratch/CH.sol.","sh scratch/setup.sh","cp scratch/confirm.py scratch/confirm-original.py",". scratch/env.sh && python scratch/confirm.py > scratch/confirm.log 2>&1","While the primary driver is running, after C-measured.json has n=2000 and before R has finished: mv scratch/K.sol scratch/K.frozen.sol, then in a second process run: . scratch/env.sh && python scratch/stack_parallel.py > scratch/stack.log 2>&1. Save parallel_stack_source as scratch/stack_parallel.py first.","The primary driver intentionally stops at its unstarted K source read after finishing R, since K.sol is absent. Wait for primary exit and STACK_COMPLETE, then mv scratch/K.frozen.sol scratch/K.sol. No STACK seed was run by the primary driver."],"warning":"Reproduction reuses this published block and is not a fresh confirmation. Confirmation script writes full per-seed measurements and per-chunk gas counters under scratch/."}}