{"blocked":null,"sources":[{"url":"https://www.paradigm.xyz/puzzles/api/v1/leaderboard?limit=100","author":"Paradigm","date":"fetched 2026-11-09","holds":"GET with Mozilla/5.0 returned 100 entries; ranks 1..30 below define this survey, not the stale rank list in the brief."},{"url":"https://x.com/houseofjiao/status/2026729636743291255","author":"@houseofjiao","date":"2026-02-25T18:42:54Z","holds":"Explicitly announces open sourcing AMM challenge repositories and links github.com/houseofjiao."},{"url":"https://raw.githubusercontent.com/houseofjiao/amm-challenge/4f41eb914ca8df491dbb1068256bbf8561638149/contracts/src/Strategy.sol","author":"houseofjiao","date":"2026-02-12","holds":"Pinned current public Strategy.sol; getName category.xyz; afterSwap fee policy. Does not establish byte identity with the leaderboard entry."},{"url":"https://raw.githubusercontent.com/houseofjiao/amm-challenge/8a61d20fa54103e8b57a8d7d0c967b4dbe3315bd/contracts/src/Strategy.sol","author":"houseofjiao","date":"2026-02-12","holds":"Historical toxicity-coefficient variant, subsequently reverted; full afterSwap implementation."},{"url":"https://raw.githubusercontent.com/jynxbt/ammvisualizer/5bfd5b98a113f860b6cc334dfc5a3a47fb0f1db2/lib/strategies/builtins.ts","author":"jynxbt","date":"2026-02-08 (last change to file)","holds":"Three embedded Solidity code literals with afterSwap: baseline30, starter50, widenBigTrades. Extracted as data; TypeScript not executed."},{"url":"https://raw.githubusercontent.com/jynxbt/ammvisualizer/5bfd5b98a113f860b6cc334dfc5a3a47fb0f1db2/README.md","author":"jynxbt","date":null,"holds":"Identifies project as a visual companion with built-in starter strategies; provides no leaderboard score for those examples."},{"url":"https://raw.githubusercontent.com/demirelo/amm-challenge/6b6921f8d463314aa7c96234e1be25a25245f704/contracts/src/StarterStrategy.sol","author":"demirelo fork; upstream starter by challenge authors","date":"2026-02-07 (pinned upstream head)","holds":"Only delivered strategy example in checked fork is unchanged fixed50 StarterStrategy; no floors.finance strategy found."},{"url":"https://www.linkedin.com/pulse/amm-fee-challenge-notes-from-our-run-optimization-arena-qe3ff","author":"Algebra DEX engine / Algebra Finance","date":"2026-03-27","holds":"Challenge-specific write-up, three qualitative mechanisms listed above, historical board claim. No Solidity, numerical constants or update equations disclosed."},{"url":"https://api.imd.fun/artifacts/19f2ec857df536e8ab62ab1da89ec6623332521ce46849f15bccff402c63e1e5","author":"IdentityMD artifact supplied by requester","date":null,"holds":"code field is RS2; reconstructed UTF-8 hash equals requested f24b6ca198b744c380842c3a17964a6dc21f311bb04984b26733afa3fee8eaf2."},{"url":"https://api.imd.fun/artifacts/33f54e81f3372088e9eced52c0174f310ac348af98ef5727b73785c088679194","author":"IdentityMD artifact supplied by requester","date":null,"holds":"harness_source specifies separate Vanilla arms, configs, gas accounting and analytical arb/retail decomposition; read as data to implement local measurement."},{"url":"https://raw.githubusercontent.com/benedictbrady/amm-challenge/6b6921f8d463314aa7c96234e1be25a25245f704/amm_competition/competition/match.py","author":"benedictbrady/amm-challenge","date":null,"holds":"Pinned MatchRunner._build_configs: numpy default_rng(seed), draws mean size then arrival rate then sigma."},{"url":"https://raw.githubusercontent.com/benedictbrady/amm-challenge/6b6921f8d463314aa7c96234e1be25a25245f704/amm_sim_rs/src/market/arbitrageur.rs","author":"benedictbrady/amm-challenge","date":null,"holds":"Pinned fee-on-input arbitrage trade sizing and profit formulas used to reconstruct arb edge."},{"url":"https://raw.githubusercontent.com/ChengHua926/amm-challenge/d34a5199c59a4c44d5336a25f1436b4ae1f21104/contracts/src/Strategy.sol","author":"ChengHua926","date":null,"holds":"Requester-designated calibration Strategy.sol; not treated as a newly identified top30 entrant."}],"mechanisms":[{"name":"Algebra: environment and immediate signals","rule":"Trade and pool history supplies estimates of volatility, retail flow, arbitrage probability and competing normalizer behavior; another layer responds to immediate pool price movements. No formula, state layout or numerical constants disclosed.","quote":"internal estimates related to market volatility","url":"https://www.linkedin.com/pulse/amm-fee-challenge-notes-from-our-run-optimization-arena-qe3ff","board":{"claim":"Reached 9th of 654; 12th at publication","date":"2026-03-27","url":"https://www.linkedin.com/pulse/amm-fee-challenge-notes-from-our-run-optimization-arena-qe3ff","score":null}},{"name":"Algebra: asymmetric protection","rule":"When retail displaces pool price from external price, increase fees in the direction of that external price. No formula or coefficients disclosed.","quote":"importance of asymmetric fees","url":"https://www.linkedin.com/pulse/amm-fee-challenge-notes-from-our-run-optimization-arena-qe3ff","board":{"claim":"Reached 9th of 654; 12th at publication","date":"2026-03-27","url":"https://www.linkedin.com/pulse/amm-fee-challenge-notes-from-our-run-optimization-arena-qe3ff","score":null}},{"name":"Algebra: probabilistic block evolution","rule":"Arbitrage may only be first in a block; following retail count is unknown, so policy estimates block evolution probabilistically. No probability formula or constants disclosed.","quote":"probabilistic estimates","url":"https://www.linkedin.com/pulse/amm-fee-challenge-notes-from-our-run-optimization-arena-qe3ff","board":{"claim":"Reached 9th of 654; 12th at publication","date":"2026-03-27","url":"https://www.linkedin.com/pulse/amm-fee-challenge-notes-from-our-run-optimization-arena-qe3ff","score":null}},{"name":"house-main","rule":{"units":"WAD fixed point; wmul(a,b)=a*b/WAD, wdiv(a,b)=a*WAD/b, BPS=1e14; source code arithmetic and truncation retained in delivered code.","state":{"0":"last bid fee","1":"last ask fee","2":"last timestamp","3":"direction centered at WAD","4":"activity EMA","5":"pHat","6":"sigmaHat","7":"lambdaHat","8":"sizeHat","9":"toxEma","10":"within-step trade count"},"initial_state":"bid=ask=4*BPS, timestamp=0, direction=WAD, activity=0, pHat=initialY/initialX (100*WAD fallback), sigmaHat=950000000000000, lambdaHat=800000000000000000, sizeHat=2000000000000000, toxicity=0, count=0.","price":"spot=reserveY/reserveX; gamma=1-(isBuy?previousBid:previousAsk); pImplied=isBuy?spot*gamma:spot/gamma. ret=abs(pImplied-pHat)/pHat. If ret<=max(7.2*sigmaHat,0.03), blend pHat with alpha 0.27 on first-in-step, 0.06 otherwise. First-in-step sigmaHat blend: 0.69 old+0.31 min(ret,1/35). This is a first-print heuristic, not an explicit arb label.","timing":"When timestamp advances, elapsed=min(gap,8): centered direction*=0.75^elapsed; activity*=0.53^elapsed; size*=0.53^elapsed; toxicity*=0.91^elapsed. lambdaHat=0.99 old+0.01 min(previousCount/gap,1.82). Reset count; count increment capped at64.","trade_size":"q=min(amountY/reserveY,0.2). If q>1/650: direction += (isBuy?+1:-1)*min(4*q,0.25), clipped[0,2]; activity=0.985 old+0.015*q; sizeHat=min(1,0.828 old+0.172*q).","toxicity":"tox=min(abs(spot-pHat)/pHat,0.2); toxEma=0.051 old+0.949 tox; t=toxEma.","mid_fee":"fBase=4bps+0.2*sigmaHat+12bps*lambdaHat+4842bps*(lambdaHat*sizeHat); fMid=fBase+300bps*t+15000bps*t^2+91843bps*activity+500bps*(sigmaHat*t)+20000bps*t^3.","asymmetry":"d=abs(direction-1); skew=20bps*d+100bps*d*t; direction>=1 protects bid with +skew and subtracts skew from ask; otherwise reverse. staleShift=6850bps*t; if spot>=pHat, add staleShift to bid and subtract 1.05*staleShift from ask, otherwise reverse. Subtractions floor at0. If trade.isBuy matches spot>=pHat, add3500bps*q to traded side.","tail":"Above600bps compress excess with slope0.93 on direction-protected side and0.85 on other side, then clampFee. Store all updated values in slots0..10.","constants_as_source":{"ELAPSED_CAP":"8","SIGNAL_THRESHOLD":"WAD / 650","DIR_DECAY":"750000000000000000","ACT_DECAY":"530000000000000000","SIZE_DECAY":"530000000000000000","TOX_DECAY":"910000000000000000","SIGMA_DECAY":"690000000000000000","LAMBDA_DECAY":"990000000000000000","SIZE_BLEND_DECAY":"828000000000000000","TOX_BLEND_DECAY":"51000000000000000","ACT_BLEND_DECAY":"985000000000000000","PHAT_ALPHA":"270000000000000000","PHAT_ALPHA_RETAIL":"60000000000000000","DIR_IMPACT_MULT":"4","GATE_SIGMA_MULT":"7200000000000000000","MIN_GATE":"30000000000000000","TOX_CUBIC_COEF":"20000 * BPS","TRADE_TOX_BOOST":"3500 * BPS","STALE_ATTRACT_FRAC":"1050000000000000000","RET_CAP":"WAD / 35","TOX_CAP":"WAD / 5","TRADE_RATIO_CAP":"WAD / 5","LAMBDA_CAP":"1820000000000000000","STEP_COUNT_CAP":"64","BASE_FEE":"4 * BPS","SIGMA_COEF":"200000000000000000","LAMBDA_COEF":"12 * BPS","FLOW_SIZE_COEF":"4842 * BPS","TOX_COEF":"300 * BPS","TOX_QUAD_COEF":"15000 * BPS","ACT_COEF":"91843 * BPS","DIR_COEF":"20 * BPS","DIR_TOX_COEF":"100 * BPS","STALE_DIR_COEF":"6850 * BPS","SIGMA_TOX_COEF":"500 * BPS","TAIL_KNEE":"600 * BPS","TAIL_SLOPE_PROTECT":"930000000000000000","TAIL_SLOPE_ATTRACT":"850000000000000000"}},"quote":"uint256 fBase = BASE_FEE + wmul(SIGMA_COEF, sigmaHat) + wmul(LAMBDA_COEF, lambdaHat) + wmul(FLOW_SIZE_COEF, flowSize);","url":"https://raw.githubusercontent.com/houseofjiao/amm-challenge/4f41eb914ca8df491dbb1068256bbf8561638149/contracts/src/Strategy.sol","board":{"rank":14,"score":522.399991474802,"url":"https://www.paradigm.xyz/puzzles/api/v1/leaderboard?limit=100","qualification":"Author entry in fetched leaderboard; exact published file is not proven to be that submission."}},{"name":"house-reverted","rule":{"base":"house-main","only_constant_differences":{"TOX_CUBIC_COEF":"22000 * BPS","TOX_COEF":"320 * BPS","TOX_QUAD_COEF":"15500 * BPS","SIGMA_TOX_COEF":"550 * BPS"},"status":"Historical public file; later reverted by commit 9574e1a6f983cdec5aefc3f96e5e01c4ce14641a. No claim that this was ever the ranked submission."},"quote":"uint256 constant TOX_CUBIC_COEF = 22000 * BPS; // Increased for stronger cubic toxicity response","url":"https://raw.githubusercontent.com/houseofjiao/amm-challenge/8a61d20fa54103e8b57a8d7d0c967b4dbe3315bd/contracts/src/Strategy.sol","board":{"rank":14,"score":522.399991474802,"url":"https://www.paradigm.xyz/puzzles/api/v1/leaderboard?limit=100","qualification":"Author entry in fetched leaderboard; exact published file is not proven to be that submission."}},{"name":"fixed30","rule":"Visualizer example baseline30: no state, both initialization and afterSwap return bid=ask=30bps. This is an example, not identified as the submitted zenned.xyz strategy.","quote":"return (bpsToWad(30), bpsToWad(30));","url":"https://raw.githubusercontent.com/jynxbt/ammvisualizer/5bfd5b98a113f860b6cc334dfc5a3a47fb0f1db2/lib/strategies/builtins.ts","board":null},{"name":"fixed50","rule":"Demirelo fork retains upstream StarterStrategy, bid=ask=50bps at initialization and afterSwap; no state. Jynx visualizer starter50 holds the same fee rule. Neither source claims this is floors.finance or zenned.xyz.","quote":"uint256 public constant FEE = 50 * BPS;","url":"https://raw.githubusercontent.com/demirelo/amm-challenge/6b6921f8d463314aa7c96234e1be25a25245f704/contracts/src/StarterStrategy.sol","board":null},{"name":"widen-big","rule":"Visualizer example widenBigTrades: slots[0] starts at30bps. q=amountY/reserveY. If q>1/20: fee=clampFee(fee+10bps); else if fee>30bps: fee-=1bps. Store fee in slot0; return bid=ask=fee. No timestamp decay. Not identified as submitted zenned.xyz.","quote":"if (tradeRatio > WAD / 20) {\n            fee = clampFee(fee + 10 * BPS);","url":"https://raw.githubusercontent.com/jynxbt/ammvisualizer/5bfd5b98a113f860b6cc334dfc5a3a47fb0f1db2/lib/strategies/builtins.ts","board":null}],"files":[{"url":"https://raw.githubusercontent.com/houseofjiao/amm-challenge/4f41eb914ca8df491dbb1068256bbf8561638149/contracts/src/Strategy.sol","sha256":"07d5510da1972193d7cf20623de5693d54c123ce035ed158e2a7c1dee529bde0","valid":true,"validation":"amm-match validate passed","d32":-1.951428057157056,"oog":0,"label":"category.xyz current public head","mechanism":"house-main","seed_start":900000,"n":32,"se32":0.20751625212846006,"mean_edge32":540.4137474983754,"gas32":{"max_ok":185532,"oog":0,"afterSwap_max_ok":129233,"afterSwap_calls":337160,"all_callbacks_all_roles_errors":{"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0}},"source_extraction":"full file"},{"url":"https://raw.githubusercontent.com/houseofjiao/amm-challenge/8a61d20fa54103e8b57a8d7d0c967b4dbe3315bd/contracts/src/Strategy.sol","sha256":"308ae0dc4343184ab795e1678726345242c6f4287fc88394b6b5c5cfc28f239e","valid":true,"validation":"amm-match validate passed","d32":-2.063244829508971,"oog":0,"label":"category.xyz historical, subsequently reverted toxicity coefficients","mechanism":"house-reverted","seed_start":900000,"n":32,"se32":0.21255145293519231,"mean_edge32":540.3019307260236,"gas32":{"max_ok":185532,"oog":0,"afterSwap_max_ok":129243,"afterSwap_calls":336091,"all_callbacks_all_roles_errors":{"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0}},"source_extraction":"full file"},{"url":"https://raw.githubusercontent.com/demirelo/amm-challenge/6b6921f8d463314aa7c96234e1be25a25245f704/contracts/src/StarterStrategy.sol","sha256":"8f2cea337f6736105f58c6758da6c3ebf002951d34492bcd5b7101bef2d1e7f3","valid":true,"validation":"amm-match validate passed","d32":-162.48527364261344,"oog":0,"label":"Unmodified upstream StarterStrategy; 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not floors.finance","seed_start":901000,"mean_edge":375.3960631799961,"reference_mean_edge":533.7351592392915,"valid":true}],"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 DIR_IMPACT_MULT = 4;\n    uint256 constant GATE_SIGMA_MULT = 7200000000000000000; // 7.2 * WAD\n    uint256 constant MIN_GATE = 30000000000000000;\n    uint256 constant TOX_CUBIC_COEF = 20000 * BPS;\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; // 1.82 * WAD\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[2] = 0; slots[3] = WAD; slots[4] = 0;\n        slots[5] = initialX > 0 ? wdiv(initialY, initialX) : 100 * WAD;\n        slots[6] = 950000000000000; slots[7] = 800000000000000000; slots[8] = 2000000000000000;\n        slots[9] = 0; slots[10] = 0;\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 = 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        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            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        {\n            uint256 ret = pHat > 0 ? wdiv(absDiff(pImplied, pHat), pHat) : 0;\n            uint256 alpha = firstInStep ? PHAT_ALPHA : PHAT_ALPHA_RETAIL;\n            uint256 adaptiveGate = wmul(sigmaHat, GATE_SIGMA_MULT);\n            if (adaptiveGate < MIN_GATE) adaptiveGate = MIN_GATE;\n            if (ret <= adaptiveGate) { pHat = wmul(pHat, WAD - alpha) + wmul(pImplied, alpha); }\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        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\n        stepTradeCount = stepTradeCount + 1;\n        if (stepTradeCount > STEP_COUNT_CAP) stepTradeCount = STEP_COUNT_CAP;\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, toxSignal) + wmul(TOX_QUAD_COEF, wmul(toxSignal, toxSignal)) + wmul(ACT_COEF, actEma);\n        fMid = fMid + wmul(SIGMA_TOX_COEF, wmul(sigmaHat, toxSignal));\n\n        {\n            uint256 toxCubed = wmul(toxSignal, wmul(toxSignal, toxSignal));\n            fMid = fMid + wmul(TOX_CUBIC_COEF, toxCubed);\n        }\n\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 staleShift = wmul(STALE_DIR_COEF, toxSignal);\n            uint256 attractShift = wmul(staleShift, STALE_ATTRACT_FRAC);\n            if (spot >= pHat) {\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 (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        slots[0] = bidFee; slots[1] = askFee; slots[2] = 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    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    function getName() external pure override returns (string memory) { return \"category.xyz\"; }\n}\n","sha256":"07d5510da1972193d7cf20623de5693d54c123ce035ed158e2a7c1dee529bde0","code_url":"https://raw.githubusercontent.com/houseofjiao/amm-challenge/4f41eb914ca8df491dbb1068256bbf8561638149/contracts/src/Strategy.sol","code_selection":"Highest measured 256-seed paired mean among the three files selected solely on the 32-seed screen; full original UTF-8 source, unchanged.","notes":{"summary":"No discovered entrant file beats RS2. Public houseofjiao files are the strongest discovered code here; Algebra offers qualitative disclosure only. No fee formula or afterSwap implementation found for current top ten entrants.","search_date":"2026-11-09","coverage":[{"rank":1,"author":"@0xMai","entry_name":"Curvance.com","avgEdge":528.3992637207801,"board_url":"https://www.paradigm.xyz/puzzles/api/v1/leaderboard?limit=100","github_probed":"https://api.github.com/users/0xMai/repos?per_page=100","github_probe_result":"listed 0 repositories (first page)","x_url":"https://x.com/0xMai","x_scope":"public profile response fetched; inspected visible posts and profile links, not a full authenticated archive","blog_urls_inspected":["https://curvance.com","https://blog.curvance.com"],"blog_search":"Opened listed site(s) and searched challenge terms; no unrelated DeFi work counted as challenge mechanism.","outcome":"No challenge fee rule or challenge-specific code found in inspected material; search absence, not proof of non-publication."},{"rank":2,"author":"@Ponxter","entry_name":"Tide v9","avgEdge":528.3616108587111,"board_url":"https://www.paradigm.xyz/puzzles/api/v1/leaderboard?limit=100","github_probed":"https://api.github.com/users/Ponxter/repos?per_page=100","github_probe_result":"HTTP Error 404: Not Found","x_url":"https://x.com/Ponxter","x_scope":"public profile response fetched; inspected visible posts and profile links, not a full authenticated archive","blog_urls_inspected":[],"blog_search":"Quoted handle with AMM/challenge/strategy; GitHub and blog terms and any profile-linked site. No verified separate blog identified.","outcome":"No challenge fee rule or challenge-specific code found in inspected material; search absence, not proof of non-publication."},{"rank":3,"author":"@KaihuaQIN","entry_name":"MixZ11","avgEdge":528.2575935240054,"board_url":"https://www.paradigm.xyz/puzzles/api/v1/leaderboard?limit=100","github_probed":"https://api.github.com/users/KaihuaQIN/repos?per_page=100","github_probe_result":"listed 42 repositories (first page)","x_url":"https://x.com/KaihuaQIN","x_scope":"public profile response fetched; inspected visible posts and profile links, not a full authenticated archive","blog_urls_inspected":["https://qin.ac"],"blog_search":"Opened listed site(s) and searched challenge terms; no unrelated DeFi work counted as challenge mechanism.","outcome":"No challenge fee rule or challenge-specific code found in inspected material; search absence, not proof of non-publication."},{"rank":4,"author":"@pxmwxd_eth","entry_name":"BranchedReturn","avgEdge":528.2060777235199,"board_url":"https://www.paradigm.xyz/puzzles/api/v1/leaderboard?limit=100","github_probed":"https://api.github.com/users/pxmwxd_eth/repos?per_page=100","github_probe_result":"HTTP Error 404: Not Found","x_url":"https://x.com/pxmwxd_eth","x_scope":"public profile response fetched; inspected visible posts and profile links, not a full authenticated archive","blog_urls_inspected":[],"blog_search":"Quoted handle with AMM/challenge/strategy; GitHub and blog terms and any profile-linked site. No verified separate blog identified.","outcome":"No challenge fee rule or challenge-specific code found in inspected material; search absence, not proof of non-publication."},{"rank":5,"author":"@aaaapsouuu","entry_name":"OpalG5W6I0","avgEdge":528.0990216289588,"board_url":"https://www.paradigm.xyz/puzzles/api/v1/leaderboard?limit=100","github_probed":"https://api.github.com/users/aaaapsouuu/repos?per_page=100","github_probe_result":"listed 0 repositories (first page)","x_url":"https://x.com/aaaapsouuu","x_scope":"public profile response fetched; inspected visible posts and profile links, not a full authenticated archive","blog_urls_inspected":[],"blog_search":"Quoted handle with AMM/challenge/strategy; GitHub and blog terms and any profile-linked site. No verified separate blog identified.","outcome":"No challenge fee rule or challenge-specific code found in inspected material; search absence, not proof of non-publication."},{"rank":6,"author":"@cybergenesis621","entry_name":"Morphogenetically Mogged","avgEdge":526.7765462820532,"board_url":"https://www.paradigm.xyz/puzzles/api/v1/leaderboard?limit=100","github_probed":"https://api.github.com/users/cybergenesis621/repos?per_page=100","github_probe_result":"listed 0 repositories (first page)","x_url":"https://x.com/cybergenesis621","x_scope":"public profile response fetched; inspected visible posts and profile links, not a full authenticated archive","blog_urls_inspected":[],"blog_search":"Quoted handle with AMM/challenge/strategy; GitHub and blog terms and any profile-linked site. No verified separate blog identified.","outcome":"No challenge fee rule or challenge-specific code found in inspected material; search absence, not proof of non-publication."},{"rank":7,"author":"@ujiuifs","entry_name":"v5","avgEdge":525.3769622854322,"board_url":"https://www.paradigm.xyz/puzzles/api/v1/leaderboard?limit=100","github_probed":"https://api.github.com/users/ujiuifs/repos?per_page=100","github_probe_result":"HTTP Error 404: Not Found","x_url":"https://x.com/ujiuifs","x_scope":"public profile response fetched; inspected visible posts and profile links, not a full authenticated archive","blog_urls_inspected":[],"blog_search":"Quoted handle with AMM/challenge/strategy; GitHub and blog terms and any profile-linked site. No verified separate blog identified.","outcome":"No challenge fee rule or challenge-specific code found in inspected material; search absence, not proof of non-publication."},{"rank":8,"author":"@cktbot","entry_name":"call me bot","avgEdge":524.8989933796349,"board_url":"https://www.paradigm.xyz/puzzles/api/v1/leaderboard?limit=100","github_probed":"https://api.github.com/users/cktbot/repos?per_page=100","github_probe_result":"HTTP Error 404: Not Found","x_url":"https://x.com/cktbot","x_scope":"public profile response fetched; inspected visible posts and profile links, not a full authenticated archive","blog_urls_inspected":[],"blog_search":"Quoted handle with AMM/challenge/strategy; GitHub and blog terms and any profile-linked site. No verified separate blog identified.","outcome":"No challenge fee rule or challenge-specific code found in inspected material; search absence, not proof of non-publication."},{"rank":9,"author":"@onblueroses","entry_name":"lvw","avgEdge":524.8101934238463,"board_url":"https://www.paradigm.xyz/puzzles/api/v1/leaderboard?limit=100","github_probed":"https://api.github.com/users/onblueroses/repos?per_page=100","github_probe_result":"listed 19 repositories (first page)","x_url":"https://x.com/onblueroses","x_scope":"public profile response fetched; inspected visible posts and profile links, not a full authenticated archive","blog_urls_inspected":[],"blog_search":"Quoted handle with AMM/challenge/strategy; GitHub and blog terms and any profile-linked site. No verified separate blog identified.","outcome":"No challenge fee rule or challenge-specific code found in inspected material; search absence, not proof of non-publication."},{"rank":10,"author":"@frok_ai","entry_name":"mevmogger","avgEdge":524.6579809037315,"board_url":"https://www.paradigm.xyz/puzzles/api/v1/leaderboard?limit=100","github_probed":"https://api.github.com/users/frok_ai/repos?per_page=100","github_probe_result":"HTTP Error 404: Not Found","x_url":"https://x.com/frok_ai","x_scope":"public profile response fetched; inspected visible posts and profile links, not a full authenticated archive","blog_urls_inspected":["https://frok.com/blog/"],"blog_search":"Opened listed site(s) and searched challenge terms; no unrelated DeFi work counted as challenge mechanism.","outcome":"No challenge fee rule or challenge-specific code found in inspected material; search absence, not proof of non-publication."},{"rank":11,"author":"@bdesnos","entry_name":"pz","avgEdge":523.8150642449694,"board_url":"https://www.paradigm.xyz/puzzles/api/v1/leaderboard?limit=100","github_probed":"https://api.github.com/users/bdesnos/repos?per_page=100","github_probe_result":"HTTP Error 404: Not Found","x_url":"https://x.com/bdesnos","x_scope":"public profile response fetched; inspected visible posts and profile links, not a full authenticated archive","blog_urls_inspected":[],"blog_search":"Quoted handle with AMM/challenge/strategy; GitHub and blog terms and any profile-linked site. No verified separate blog identified.","outcome":"No challenge fee rule or challenge-specific code found in inspected material; search absence, not proof of non-publication."},{"rank":12,"author":"@0xFanZhang","entry_name":"Conditional Risk Fees","avgEdge":522.8168949855759,"board_url":"https://www.paradigm.xyz/puzzles/api/v1/leaderboard?limit=100","github_probed":"https://api.github.com/users/0xFanZhang/repos?per_page=100","github_probe_result":"HTTP Error 404: Not Found","x_url":"https://x.com/0xFanZhang","x_scope":"public profile response fetched; inspected visible posts and profile links, not a full authenticated archive","blog_urls_inspected":["https://fanzhang.me"],"blog_search":"Opened listed site(s) and searched challenge terms; no unrelated DeFi work counted as challenge mechanism.","outcome":"No challenge fee rule or challenge-specific code found in inspected material; search absence, not proof of non-publication."},{"rank":13,"author":"@kiteliudingyue","entry_name":"Uniswap Research","avgEdge":522.4069038854279,"board_url":"https://www.paradigm.xyz/puzzles/api/v1/leaderboard?limit=100","github_probed":"https://api.github.com/users/kiteliudingyue/repos?per_page=100","github_probe_result":"listed 1 repositories (first page)","x_url":"https://x.com/kiteliudingyue","x_scope":"public profile response fetched; inspected visible posts and profile links, not a full authenticated archive","blog_urls_inspected":["https://kiteliudingyue.com","https://kiteliudingyue.com/research/"],"blog_search":"Opened listed site(s) and searched challenge terms; no unrelated DeFi work counted as challenge mechanism.","outcome":"No challenge fee rule or challenge-specific code found in inspected material; search absence, not proof of non-publication."},{"rank":14,"author":"@houseofjiao","entry_name":"— permanent underclass below this line —","avgEdge":522.399991474802,"board_url":"https://www.paradigm.xyz/puzzles/api/v1/leaderboard?limit=100","github_probed":"https://api.github.com/users/houseofjiao/repos?per_page=100","github_probe_result":"listed 3 repositories (first page)","x_url":"https://x.com/houseofjiao","x_scope":"public profile response fetched; inspected visible posts and profile links, not a full authenticated archive","blog_urls_inspected":[],"blog_search":"Quoted handle with AMM/challenge/strategy; GitHub and blog terms and any profile-linked site. No verified separate blog identified.","outcome":"Explicit X open-source announcement; current and one reverted Strategy.sol benchmarked. Exact ranked submission not established."},{"rank":15,"author":"@adrianleb","entry_name":"hmmmm","avgEdge":522.384956327733,"board_url":"https://www.paradigm.xyz/puzzles/api/v1/leaderboard?limit=100","github_probed":"https://api.github.com/users/adrianleb/repos?per_page=100","github_probe_result":"listed 88 repositories (first page)","x_url":"https://x.com/adrianleb","x_scope":"public profile response fetched; inspected visible posts and profile links, not a full authenticated archive","blog_urls_inspected":["https://adrians.info"],"blog_search":"Opened listed site(s) and searched challenge terms; no unrelated DeFi work counted as challenge mechanism.","outcome":"No challenge fee rule or challenge-specific code found in inspected material; search absence, not proof of non-publication."},{"rank":16,"author":"@yfjolne","entry_name":"v17","avgEdge":522.2581092187538,"board_url":"https://www.paradigm.xyz/puzzles/api/v1/leaderboard?limit=100","github_probed":"https://api.github.com/users/yfjolne/repos?per_page=100","github_probe_result":"HTTP Error 404: Not Found","x_url":"https://x.com/yfjolne","x_scope":"public profile response fetched; inspected visible posts and profile links, not a full authenticated archive","blog_urls_inspected":[],"blog_search":"Quoted handle with AMM/challenge/strategy; GitHub and blog terms and any profile-linked site. No verified separate blog identified.","outcome":"No challenge fee rule or challenge-specific code found in inspected material; search absence, not proof of non-publication."},{"rank":17,"author":"@unhedged21","entry_name":"EQX_Labs_v111","avgEdge":522.2340584608704,"board_url":"https://www.paradigm.xyz/puzzles/api/v1/leaderboard?limit=100","github_probed":"https://api.github.com/users/unhedged21/repos?per_page=100","github_probe_result":"listed 1 repositories (first page)","x_url":"https://x.com/unhedged21","x_scope":"public profile response fetched; inspected visible posts and profile links, not a full authenticated archive","blog_urls_inspected":[],"blog_search":"Quoted handle with AMM/challenge/strategy; GitHub and blog terms and any profile-linked site. No verified separate blog identified.","outcome":"No challenge fee rule or challenge-specific code found in inspected material; search absence, not proof of non-publication."},{"rank":18,"author":"@AAlex29797","entry_name":"Routing Fees v19 2deaf4","avgEdge":522.2065998119917,"board_url":"https://www.paradigm.xyz/puzzles/api/v1/leaderboard?limit=100","github_probed":"https://api.github.com/users/AAlex29797/repos?per_page=100","github_probe_result":"HTTP Error 404: Not Found","x_url":"https://x.com/AAlex29797","x_scope":"public profile response fetched; inspected visible posts and profile links, not a full authenticated archive","blog_urls_inspected":[],"blog_search":"Quoted handle with AMM/challenge/strategy; GitHub and blog terms and any profile-linked site. No verified separate blog identified.","outcome":"No challenge fee rule or challenge-specific code found in inspected material; search absence, not proof of non-publication."},{"rank":19,"author":"@artemis_onchain","entry_name":"hehe","avgEdge":522.0510142742021,"board_url":"https://www.paradigm.xyz/puzzles/api/v1/leaderboard?limit=100","github_probed":"https://api.github.com/users/artemis_onchain/repos?per_page=100","github_probe_result":"HTTP Error 404: Not Found","x_url":"https://x.com/artemis_onchain","x_scope":"public profile response fetched; inspected visible posts and profile links, not a full authenticated archive","blog_urls_inspected":[],"blog_search":"Quoted handle with AMM/challenge/strategy; GitHub and blog terms and any profile-linked site. No verified separate blog identified.","outcome":"No challenge fee rule or challenge-specific code found in inspected material; search absence, not proof of non-publication."},{"rank":20,"author":"@afinkek","entry_name":"CONTRO.APP - waitlist open now","avgEdge":521.9777433209541,"board_url":"https://www.paradigm.xyz/puzzles/api/v1/leaderboard?limit=100","github_probed":"https://api.github.com/users/afinkek/repos?per_page=100","github_probe_result":"HTTP Error 404: Not Found","x_url":"https://x.com/afinkek","x_scope":"public profile response fetched; inspected visible posts and profile links, not a full authenticated archive","blog_urls_inspected":[],"blog_search":"Quoted handle with AMM/challenge/strategy; GitHub and blog terms and any profile-linked site. No verified separate blog identified.","outcome":"No challenge fee rule or challenge-specific code found in inspected material; search absence, not proof of non-publication."},{"rank":21,"author":"@cameronspirals","entry_name":"hAMM Sandwich","avgEdge":521.7988337007108,"board_url":"https://www.paradigm.xyz/puzzles/api/v1/leaderboard?limit=100","github_probed":"https://api.github.com/users/cameronspirals/repos?per_page=100","github_probe_result":"HTTP Error 404: Not Found","x_url":"https://x.com/cameronspirals","x_scope":"public profile response fetched; inspected visible posts and profile links, not a full authenticated archive","blog_urls_inspected":["https://wysr.xyz"],"blog_search":"Opened listed site(s) and searched challenge terms; no unrelated DeFi work counted as challenge mechanism.","outcome":"No challenge fee rule or challenge-specific code found in inspected material; search absence, not proof of non-publication."},{"rank":22,"author":"@josusanmartin","entry_name":"try_init28","avgEdge":521.4814565492002,"board_url":"https://www.paradigm.xyz/puzzles/api/v1/leaderboard?limit=100","github_probed":"https://api.github.com/users/josusanmartin/repos?per_page=100","github_probe_result":"listed 56 repositories (first page)","x_url":"https://x.com/josusanmartin","x_scope":"public profile response fetched; inspected visible posts and profile links, not a full authenticated archive","blog_urls_inspected":["https://josusanmartin.com","https://josusanmartin.com/blog/"],"blog_search":"Opened listed site(s) and searched challenge terms; no unrelated DeFi work counted as challenge mechanism.","outcome":"No challenge fee rule or challenge-specific code found in inspected material; search absence, not proof of non-publication."},{"rank":23,"author":"@basedfk","entry_name":"New CLIZA.ai Soon!","avgEdge":521.3533229946398,"board_url":"https://www.paradigm.xyz/puzzles/api/v1/leaderboard?limit=100","github_probed":"https://api.github.com/users/basedfk/repos?per_page=100","github_probe_result":"HTTP Error 404: Not Found","x_url":"https://x.com/basedfk","x_scope":"public profile response fetched; inspected visible posts and profile links, not a full authenticated archive","blog_urls_inspected":[],"blog_search":"Quoted handle with AMM/challenge/strategy; GitHub and blog terms and any profile-linked site. No verified separate blog identified.","outcome":"No challenge fee rule or challenge-specific code found in inspected material; search absence, not proof of non-publication."},{"rank":24,"author":"@0xseiryu","entry_name":"v22","avgEdge":520.9978281489941,"board_url":"https://www.paradigm.xyz/puzzles/api/v1/leaderboard?limit=100","github_probed":"https://api.github.com/users/0xseiryu/repos?per_page=100","github_probe_result":"HTTP Error 404: Not Found","x_url":"https://x.com/0xseiryu","x_scope":"public profile response fetched; inspected visible posts and profile links, not a full authenticated archive","blog_urls_inspected":[],"blog_search":"Quoted handle with AMM/challenge/strategy; GitHub and blog terms and any profile-linked site. No verified separate blog identified.","outcome":"No challenge fee rule or challenge-specific code found in inspected material; search absence, not proof of non-publication."},{"rank":25,"author":"@demirelo","entry_name":"floors.finance","avgEdge":520.4680740778977,"board_url":"https://www.paradigm.xyz/puzzles/api/v1/leaderboard?limit=100","github_probed":"https://api.github.com/users/demirelo/repos?per_page=100","github_probe_result":"listed 31 repositories (first page)","x_url":"https://x.com/demirelo","x_scope":"public profile response fetched; inspected visible posts and profile links, not a full authenticated archive","blog_urls_inspected":[],"blog_search":"Quoted handle with AMM/challenge/strategy; GitHub and blog terms and any profile-linked site. No verified separate blog identified.","outcome":"Public challenge fork matches pinned upstream; only unmodified starter found and benchmarked. No floors.finance implementation found."},{"rank":26,"author":"@jynxbt","entry_name":"zenned.xyz","avgEdge":520.2784679499714,"board_url":"https://www.paradigm.xyz/puzzles/api/v1/leaderboard?limit=100","github_probed":"https://api.github.com/users/jynxbt/repos?per_page=100","github_probe_result":"listed 100 repositories (first page)","x_url":"https://x.com/jynxbt","x_scope":"public profile response fetched; inspected visible posts and profile links, not a full authenticated archive","blog_urls_inspected":["https://jxbt.xyz"],"blog_search":"Opened listed site(s) and searched challenge terms; no unrelated DeFi work counted as challenge mechanism.","outcome":"Public visualizer found; three embedded Solidity examples benchmarked. No zenned.xyz submission implementation established."},{"rank":27,"author":"@heswithme_eth","entry_name":"curve","avgEdge":519.9165587517682,"board_url":"https://www.paradigm.xyz/puzzles/api/v1/leaderboard?limit=100","github_probed":"https://api.github.com/users/heswithme_eth/repos?per_page=100","github_probe_result":"HTTP Error 404: Not Found","x_url":"https://x.com/heswithme_eth","x_scope":"public profile response fetched; inspected visible posts and profile links, not a full authenticated archive","blog_urls_inspected":[],"blog_search":"Quoted handle with AMM/challenge/strategy; GitHub and blog terms and any profile-linked site. No verified separate blog identified.","outcome":"Followed profile link to github.com/heswithme; no challenge strategy found in listed repositories."},{"rank":28,"author":"@builtbyimd","entry_name":"imd.fun swarm (seat #1477)","avgEdge":519.8458339874795,"board_url":"https://www.paradigm.xyz/puzzles/api/v1/leaderboard?limit=100","github_probed":"https://api.github.com/users/builtbyimd/repos?per_page=100","github_probe_result":"HTTP Error 404: Not Found","x_url":"https://x.com/builtbyimd","x_scope":"public profile response fetched; inspected visible posts and profile links, not a full authenticated archive","blog_urls_inspected":[],"blog_search":"Quoted handle with AMM/challenge/strategy; GitHub and blog terms and any profile-linked site. No verified separate blog identified.","outcome":"Requester supplied RS2 measured as reference; no independently identified new strategy publication added for our own entrant."},{"rank":29,"author":"@realTomBayes","entry_name":"BayesArbFilter","avgEdge":519.7210984985201,"board_url":"https://www.paradigm.xyz/puzzles/api/v1/leaderboard?limit=100","github_probed":"https://api.github.com/users/realTomBayes/repos?per_page=100","github_probe_result":"HTTP Error 404: Not Found","x_url":"https://x.com/realTomBayes","x_scope":"public profile response fetched; inspected visible posts and profile links, not a full authenticated archive","blog_urls_inspected":[],"blog_search":"Quoted handle with AMM/challenge/strategy; GitHub and blog terms and any profile-linked site. No verified separate blog identified.","outcome":"No challenge fee rule or challenge-specific code found in inspected material; search absence, not proof of non-publication."},{"rank":30,"author":"@CryptoAlgebra","entry_name":"Algebra Fee","avgEdge":519.667107869242,"board_url":"https://www.paradigm.xyz/puzzles/api/v1/leaderboard?limit=100","github_probed":"https://api.github.com/users/CryptoAlgebra/repos?per_page=100","github_probe_result":"listed 57 repositories (first page)","x_url":"https://x.com/CryptoAlgebra","x_scope":"public profile response fetched; inspected visible posts and profile links, not a full authenticated archive","blog_urls_inspected":["https://www.linkedin.com/pulse/amm-fee-challenge-notes-from-our-run-optimization-arena-qe3ff","https://blog.algebra.finance"],"blog_search":"Opened listed site(s) and searched challenge terms; no unrelated DeFi work counted as challenge mechanism.","outcome":"Challenge write-up found; qualitative rules only, no code or coefficients."}],"searched":"Official leaderboard top30; exact-handle GitHub profiles and first100 public repositories; direct X profile pages for all30; quoted-handle web searches with AMM, challenge, strategy, fee, GitHub and blog; linked personal/project blogs where found; houseofjiao strategy git history; Jynx builtin code literals. Source instructions were not executed. IMD explorer search hits were excluded as evidence about other entrants.","limits":"Public X pages expose only a subset of posts; no authenticated archive or private code access. Equal handles alone do not prove account identity. GitHub first-page repo discovery is not exhaustive. A source author rank is not proof of exact file submission. No exhaustive scan of historical commits, gists, alternate aliases or unlinked blogs. No invented policies for opaque names such as MixZ11, BranchedReturn, OpalG5W6I0, Conditional Risk Fees or BayesArbFilter.","algebra_access":"Medium copy was readable through browser tool but direct HTTP returned403; canonical author-published LinkedIn version fetched successfully and used for all retained Algebra claims and quotes.","method":{"simulator_commit":"6b6921f8d463314aa7c96234e1be25a25245f704","setup":"Requester setup.sh run once successfully; prebuilt wheel checksum matched; starter validation passed.","reference":"RS2 f24b6ca198b744c380842c3a17964a6dc21f311bb04984b26733afa3fee8eaf2","screen":{"seed_start":900000,"seed_end":900031,"n":32},"followup":{"seed_start":901000,"seed_end":901255,"n":256},"selection":"Screen all six files; sort by d32 descending, stable discovery-order tie break. Select House, HouseReverted, DemireloStarter. Jynx starter50 ties DemireloStarter exactly on all32 edges. Freeze selection before follow-up.","market":"Each arm separately run_batch(strategy,VanillaStrategy,configs,8); never entrants together or against RS2 in one market. Batches of8 limit memory. Ten thousand steps; default config draws size U(19,21), rate U(.6,1), sigma U(.000882,.001008), in that order, using default_rng(seed); price seed=seed, retail=seed+1.","paired":"Per-seed candidate edge minus independently simulated RS2 edge, sample standard deviation(ddof=1)/sqrt(n), five lowest differences shown.","edge_decomposition":"Same analytical reconstruction as requester harness_source, with each strategy actual initial fee: fees outside reserves, k constant, prior-step final spot/fees plus next fair price imply arb size/profit. arb edge=negative summed arb profits; retail edge=total edge-arb edge. These are reconstructed components, not native per-trade category logs. Decomposition reconciled per seed.","gas":"gas_stats_reset before each run_batch, gas_stats after it, per-arm aggregation. oog sums all callbacks of both roles. max_ok=max successful gas over Submission callbacks, with afterSwap_max_ok separately reported. Any error invalidates arm; no errors observed.","no_tuning":"No strategy changes, optimization or seeds>=5000000. CH seeds0..999 used only for prescribed calibration; all candidate measurements use requested screen/follow-up seeds."},"calibration":{"url":"https://raw.githubusercontent.com/ChengHua926/amm-challenge/d34a5199c59a4c44d5336a25f1436b4ae1f21104/contracts/src/Strategy.sol","sha256":"6dd68f77a70900319460215374143dbd5d924198450a46d9f5f91f6b1e3d35c3","n":1000,"seed_start":0,"mean_edge":525.5258821780834,"expected":525.5258821780834,"absolute_error":0.0,"gas":{"max_ok":185532,"oog":0,"afterSwap_max_ok":151647,"afterSwap_calls":10445223,"all_callbacks_all_roles_errors":{"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0}}},"reference_runs":[{"n":32,"seed_start":900000,"mean_edge":542.3651755555325,"gas":{"max_ok":243099,"oog":0,"afterSwap_max_ok":197184,"afterSwap_calls":334336,"all_callbacks_all_roles_errors":{"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0}}},{"n":256,"seed_start":901000,"mean_edge":533.7351592392915,"gas":{"max_ok":243099,"oog":0,"afterSwap_max_ok":202386,"afterSwap_calls":2678625,"all_callbacks_all_roles_errors":{"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0}}}]}}