{"key":"cross-f5","idea":"measure: frozen retreat-crossing (posterior reweight on one-tick rival retreat, spread 3) vs frozen comparator N, finalist seeds 902000..902499, paired by 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hashes verified by script before running. Check values for N on 310000..310003 matched (17.116002, 20.017111, 2.390311, 241.484752). Simulator at b244530 unmodified, single process, default configs. Spread checked on first observed rival quotes for every seed and run (ask-bid=2s-1, all passed). Candidate is identical to N on spreads 1, 2 and 4 (d=0 on all 377 seeds); the whole difference comes from the 123 spread-3 seeds: +0.7286 (se 0.2029), mostly less arbitrage loss (+0.637). Overall +0.1792 (se 0.0517), above 2 se."}