{"approach": "For self.s == 4, halve the regular-bid target when phat < 0.05 and bid_t >= 2. Retail sells often consume only part of resting depth, whereas arbitrage sweeps remove all overpriced depth. The fill audit showed substantial arbitrage losses at 2-5 cents, so reducing this depth preserves most retail gains while cutting losses on downward moves. Broad screening used the first 120 spread-4 tuning seeds, and the best six positive candidates received 80 further discovery runs. Selection used independent 200-run validation and 300-run confirmation, with no unseen candidate scores used to select the strategy. The bid policy then remained frozen. An initial implementation was 0.1% slower; caching the previous belief-grid tuple and math.exp binding only for spread 4 removed repeated lookup work without changing arithmetic or iteration order. The optimized file matched every SimulationResult field of the original bid policy on all 2009 unseen seeds and was independently rescored. The original simulator produced every final unseen score, other-spread result and timing; only tuning used the separately verified faster book lookup.", "blocked": null, "python_version": "3.12.3", "spread": 4, "base_mean_edge": 98.4694596619638, "runs": {"tuning": 700, "unseen": 2009}, "base_unseen": {"mean_edge": 163.47813945343543, "retail_edge": 191.20763318061364, "arb_edge": -27.729493727194825}, "holdout": {"mean_edge": 164.08389568162482, "retail_edge": 190.9767966850484, "arb_edge": -26.892901003438727, "failures": 0}, "diff": {"mean": 0.605756228189398, "standard_error": 0.08422390498135768, "retail": -0.23083649556520702, "arb": 0.8365927237560977}, "others_identical": {"runs": 900, "identical": true}, "seconds": {"base": 163.12710103284917, "yours": 159.97015790370642}, "code": "\"\"\"Crossing-cover base with isolated, untuned spread overrides.\"\"\"\nimport math\nfrom orderbook_pm_challenge.strategy import BaseStrategy\nfrom orderbook_pm_challenge.types import CancelOrder, PlaceOrder, Side\n\nP = dict(lam_r=0.25, m=5.0, sig_n=1.2, lam_j=0.0019, sig_j=0.35, sig=0.02,\n         qmax=3000.0, rmin=2, kA=0.7, kL=0.15, pL=0.05,\n         ammo=1.0, ydem=0.4, W=200.0, fy=0.6, ammo_q=60.0, ammo_pmax=0.05, ammo_maxpay=0.02,\n         fb=0.9, fu=0.7, xu=0.1, sticky=1.0, min_ahead=2.0, keep_hi=1.5, keep_lo=0.7, Hu=300.0, bins=8.0, filt=1.0, uni=0.01, jumpinfo=1.0, dmin=0.0, kLb=0.08, kLf=0.08, pinf=1.0, pre=0.0, H1=100.0,\n         ydf=0.6, Wf=2000.0, g_hi=0.15, g_lo=0.15, qf=400.0, pmaxf=0.05, pre_gap=1.0,\n         ydf1=0.6, g1=5.0, f1=0.6, a1=100.0, nb1=0.0, gs=1.0, p1t=1.0, m1=1.0, zd=1.0, pfl=0.0005)\nSQ2 = math.sqrt(2.0)\nSQ2PI = math.sqrt(2.0 * math.pi)\ndef cdf(x): return 0.5 * (1.0 + math.erf(x / SQ2))\ndef pdf(x): return math.exp(-0.5 * x * x) / SQ2PI\ndef inv(p):\n    p = min(max(p, 1e-9), 1 - 1e-9)\n    t = math.sqrt(-2.0 * math.log(min(p, 1 - p)))\n    x = t - (2.515517 + 0.802853 * t + 0.010328 * t * t) / (1 + 1.432788 * t + 0.189269 * t * t + 0.001308 * t ** 3)\n    x = -x if p < 0.5 else x\n    for _ in range(2):\n        d = pdf(x)\n        if d < 1e-12:\n            break\n        x -= (cdf(x) - p) / d\n    return x\ndef lpm(k):\n    return pdf(k) + k * cdf(k)\ndef fl(q):\n    return math.floor(q * 100 + 1e-9) / 100\n\nNODES = [(-2.2, .06), (-1.3, .17), (-0.6, .27), (0.6, .27), (1.3, .17), (2.2, .06)]\nPROBE = 0.01\n\n\nclass Strategy(BaseStrategy):\n    def __init__(self):\n        self.n = 0\n        self.ahead = set()     # main orders placed strictly ahead of any competitor order at their tick\n        self.res = {}          # order id -> uncovered quantity at placement\n        self.bc = None         # belief: sub-tick grid centres (ticks)\n        self.bw = None         # belief: weights\n        self.st = 0.5          # last one-step sd in ticks\n        self.pcb = self.pca = None\n        self.pb = set()\n        self.pa = set()\n        self.tb = 0\n        self.s = None          # competitor spread parameter\n        self.flow_notional = 0.0\n        self.flow_exposure = 0\n        self.last_ask_tick = None\n        self.last_quote_exposed = False\n        self.last_flow_ca = None\n        self.last_flow_cap = 0.0\n        self.last_flow_correction = 1.0\n        self.params = P.copy()\n\n    def _oid(self, tag):\n        self.n += 1\n        return tag + str(self.n)\n\n    def on_step(self, state):\n        H = max(1, state.steps_remaining)\n        cb = state.competitor_best_bid_ticks or 0\n        ca = state.competitor_best_ask_ticks or 100\n        if self.s is None:\n            self.s = max(1, (ca - cb + 1) // 2)\n            if self.s == 1:\n                self.params.update({'dmin': 0.3, 'pfl': 1e-06})\n            if self.s == 3:\n                self.params.update({'flow_prior': 200, 'flow_level': 0.6, 'flow_strength': 1.0, 'flow_safety': 2.0, 'flow_exposure_min': 5.0})\n        P = self.params\n        if self.s == 3 and self.last_quote_exposed and ca <= self.last_flow_ca + 1:\n            self.flow_exposure += 1\n            self.flow_notional += min(self.last_flow_cap, state.sell_filled_quantity * self.last_ask_tick / 100.0) * self.last_flow_correction\n        lo, hi = cb, ca\n        for o in state.own_orders:\n            if o.side is Side.BUY:\n                lo = max(lo, o.price_ticks)\n            else:\n                hi = min(hi, o.price_ticks)\n        if P['pinf'] > 0:\n            sb = {o.price_ticks for o in state.own_orders if o.side is Side.BUY and o.remaining_quantity <= PROBE + 1e-9}\n            sa = {o.price_ticks for o in state.own_orders if o.side is Side.SELL and o.remaining_quantity <= PROBE + 1e-9}\n            ea = self.pa - sa\n            eb = self.pb - sb\n            if sa and ea:\n                lo = max(lo, min(max(ea), hi))\n            if eb and (sb or min(eb) <= P['p1t']):\n                hi = min(hi, max(min(eb), lo))\n        if P['jumpinfo'] > 0 and self.pcb is not None:\n            if ca > self.pca + 1:\n                lo = max(lo, ca - 1)\n            if cb < self.pcb - 1:\n                hi = min(hi, cb + 1)\n        self.pcb, self.pca = cb, ca\n        if lo > hi:\n            lo, hi = hi, lo\n        # sub-tick belief over p_(t-1): predict with one-step noise, truncate to [lo, hi]\n        wid = max(hi - lo, 1e-6)\n        nb = max(2, min(48, int(round(wid * P['bins']))))\n        cs = [lo + (i + 0.5) * wid / nb for i in range(nb)]\n        if self.bc is None or P['filt'] <= 0:\n            ws = [1.0 / nb] * nb\n        else:\n            sg = max(self.st, 0.6 * wid / nb)\n            k = -0.5 / (sg * sg)\n            ws = []\n            uni = P['uni'] * sg\n            if self.s == 4:\n                previous_belief = tuple(zip(self.bc, self.bw))\n                exp = math.exp\n                append_weight = ws.append\n                for c in cs:\n                    t = uni\n                    for ci, wi in previous_belief:\n                        d = c - ci\n                        d2 = d * d * k\n                        if d2 > -12.5:\n                            t += wi * exp(d2)\n                    append_weight(t)\n            else:\n                for c in cs:\n                    t = uni\n                    for ci, wi in zip(self.bc, self.bw):\n                        d = c - ci\n                        d2 = d * d * k\n                        if d2 > -12.5:\n                            t += wi * math.exp(d2)\n                    ws.append(t)\n            tot = sum(ws)\n            ws = [w / tot for w in ws]\n        self.bc, self.bw = cs, ws\n        mean_t = sum(c * w for c, w in zip(cs, ws))\n        var_t = max(sum(c * c * w for c, w in zip(cs, ws)) - mean_t * mean_t, 0.0)\n        phat = min(max(mean_t / 100.0, 0.002), 0.998)\n        var = P['sig'] ** 2 + P['lam_j'] * P['sig_j'] ** 2\n        sd = math.sqrt(H * var)\n        self.tb = self.tb + 1 if hi <= 1 else 0\n        if self.tb > 0 and P['zd'] > 0:\n            # below the last tick there is no probe: the score keeps walking away from it\n            phat = min(phat, max(P['pfl'], cdf(inv(0.01) - P['zd'] * 0.02 * math.sqrt(self.tb) / sd)))\n        z = inv(phat)\n        Z = z * sd\n        sp = pdf(z) / sd * P['sig']\n        self.st = sp * 100.0\n        s = math.sqrt(sp * sp + var_t / 1e4 + 1e-8)\n        sd1 = math.sqrt(max(1.0, H - 1.0) * var)\n        jp = [(cdf((Z + n * P['sig_j']) / sd1), w) for n, w in NODES]\n        lj = P['lam_j']\n\n        def AB(x):\n            k = (x - phat) / s\n            a = s * lpm(k)\n            b = a - (x - phat)\n            ja = sum(w * max(0.0, x - p) for p, w in jp)\n            jb = sum(w * max(0.0, p - x) for p, w in jp)\n            return (1 - lj) * a + lj * ja, (1 - lj) * b + lj * jb\n\n        if H == 1:\n            def AB(x):\n                return (1 - phat) * x, phat * (1 - x)\n        rho = P['lam_r'] * 0.5\n        mu = math.log(P['m']) - 0.5 * P['sig_n'] ** 2\n        kA = P['kL'] if phat < P['pL'] else P['kA']\n\n        def qsize(loss, gain, px):\n            loss *= kA\n            if gain <= 0:\n                return 0.0\n            tail = loss / (rho * gain)\n            if tail >= 1.0:\n                return 0.0\n            return min(P['qmax'], math.exp(mu + P['sig_n'] * inv(1 - max(tail, 1e-6))) / px)\n\n        ptk = phat * 100\n        def qbid(t):\n            if not 1 <= t <= 99:\n                return 0.0\n            a, b = AB(t / 100.0)\n            if phat * 100 - t < P['dmin']:\n                return 0.0\n            if P['nb1'] > 0 and self.s == 1 and t == 1 and ptk < 1.0:\n                return 0.0\n            if phat < P['pL']:\n                ytg = P['ydem'] * min(H, P['W']) / max(ca - 1, ptk + 1) * 100.0\n                a *= (P['kLb'] if state.yes_inventory < ytg else P['kLf']) / P['kL']\n            return qsize(a, b, max(phat, 0.05))\n\n        def qask(t):\n            if not 1 <= t <= 99:\n                return 0.0\n            a, b = AB(t / 100.0)\n            if t - phat * 100 < P['dmin']:\n                return 0.0\n            return qsize(b, a, t / 100.0)\n\n        bids = [o for o in state.own_orders if o.side is Side.BUY and o.remaining_quantity > PROBE + 1e-9]\n        asks = [o for o in state.own_orders if o.side is Side.SELL and o.remaining_quantity > PROBE + 1e-9]\n        sticky = P['sticky'] > 0\n        def top(orders, comp, step):\n            if sticky and sum(o.remaining_quantity for o in orders if o.price_ticks == comp and o.order_id in self.ahead) >= P['min_ahead']:\n                return comp\n            return comp + step\n        bid_t = top(bids, cb, 1)\n        ask_t = top(asks, ca, -1)\n        qb = qbid(bid_t)\n        if self.s == 4 and phat < 0.05 and bid_t >= 2:\n            qb *= 0.5\n        qa = qask(ask_t)\n\n        Y = state.yes_inventory\n        if ask_t == 1 and H > P['H1'] and P['pre'] > 0:\n            qa = qa if Y >= P['a1'] > 0 else 0.0          # let the competitor's 2-tick ask erode instead of fronting it for nothing\n        # ammunition: hold YES so that low asks are covered\n        ptick = phat * 100\n        amt = 0\n        qam = 0.0\n        if P['ammo'] > 0 and ask_t >= 2 and phat < max(P['ammo_pmax'], P['pmaxf']):\n            wealth = state.cash + Y * phat\n            x = max(ask_t, ptick + 1) / 100.0\n            capw = P['fy'] * wealth / max(phat, 0.005)\n            target = min(P['ydem'] * min(H, P['W']) / x, capw)\n            full = min(P['ydf'] * min(H, P['Wf']) / x, capw) if phat < P['pmaxf'] else 0.0\n            t = max(1, min(99, int(math.ceil(ptick + 1e-9))))\n            g = t - ptick\n            if Y < full and g <= P['g_hi'] and bid_t <= t < ask_t:\n                amt, qam = t, min(P['qf'], full - Y)     # a tick p has just crossed: nearly free\n            elif Y < target and phat < P['ammo_pmax'] and bid_t <= t < ask_t and t / 100.0 - phat < P['ammo_maxpay']:\n                amt, qam = t, min(P['ammo_q'], target - Y)\n            elif Y < full and t >= 2 and 1.0 - g <= P['g_lo']:\n                amt, qam = t - 1, min(P['qf'], full - Y)  # rest just under p: filled only on the crossing, or by retail\n\n        if P['pre'] > 0 and ca == 2 and phat < 0.01 and H > P['H1'] and Y < P['pre'] and not qam and 1.0 - ptick < P['pre_gap']:\n            amt, qam = 1, min(P['ammo_q'], P['pre'] - Y)\n        q1 = 0.0\n        if P['ydf1'] > 0 and P['m1'] < ptick < P['g1'] + 1.0 and amt != 1:\n            stock_rate = P['ydf1']\n            if self.s == 3:\n                flow = (self.flow_notional + P['flow_prior'] * P['flow_level']) / (P['flow_prior'] + self.flow_exposure)\n                scale = max(0.5, min(2.0, flow / P['flow_level']))\n                stock_rate *= 1.0 + P['flow_strength'] * (scale - 1.0)\n            q1 = max(0.0, stock_rate * min(H, P['Wf']) / (self.s / 100.0) - Y)\n\n        # Bridge expected retail demand until another tick crossing is available.\n        if 0.02 < phat < 0.1:\n            ct = max(2, min(99, int(math.floor(ptick))))\n            wealth = state.cash + Y * phat\n            goal = min(1 * qa, 0.3 * max(wealth, 0.0) / phat)\n            if Y < goal and ct < ask_t:\n                amt, qam = ct, min(3000.0, goal - Y)\n        # order management\n        actions = []\n        free = state.free_cash - 2.0\n        keep_ask = 0.0\n        new_b = []\n        new_a = []\n        def cancel(o):\n            nonlocal free\n            actions.append(CancelOrder(o.order_id))\n            x = o.price_ticks / 100.0\n            if o.side is Side.BUY:\n                free += x * o.remaining_quantity\n            else:\n                free += (1 - x) * min(self.res.get(o.order_id, 0.0), o.remaining_quantity)\n            self.ahead.discard(o.order_id)\n            self.res.pop(o.order_id, None)\n        for o in state.own_orders:\n            if o.remaining_quantity <= PROBE + 1e-9:\n                cancel(o)\n        kept_ids = set()\n        def manage(orders, t, q, comp):\n            kept = 0.0\n            for o in orders:\n                if o.price_ticks == t and q > 0 and kept + o.remaining_quantity <= max(q * P['keep_hi'], 1.0):\n                    kept += o.remaining_quantity\n                    kept_ids.add(o.order_id)\n                else:\n                    cancel(o)\n            return kept\n        kb = manage(bids, bid_t, qb, cb)\n        ka = manage(asks, ask_t, qa, ca)\n        add_b = (qb - kb) if (kb < qb * P['keep_lo'] and bid_t != cb) else 0.0\n        add_a = (qa - ka) if (ka < qa * P['keep_lo'] and ask_t != ca) else 0.0\n\n        budget = P['fb'] * max(free, 0.0)\n        cost = add_b * bid_t / 100.0 + qam * amt / 100.0\n        if cost > budget:\n            f = budget / cost\n            add_b *= f\n            qam *= f\n            cost = budget\n        out = []\n        q1 = min(q1, P['f1'] * max(budget - cost, 0.0) * 100.0)\n        if q1 >= 0.01:\n            out.append(PlaceOrder(side=Side.BUY, price_ticks=1, quantity=fl(q1)))\n            free -= fl(q1) / 100.0 + 1e-6\n        if amt and qam >= 0.01:\n            q = fl(qam)\n            out.append(PlaceOrder(side=Side.BUY, price_ticks=amt, quantity=q))\n            free -= q * amt / 100.0 + 1e-6\n        if bid_t >= 1 and add_b >= 0.01:\n            q = fl(add_b)\n            oid = self._oid('b')\n            out.append(PlaceOrder(side=Side.BUY, price_ticks=bid_t, quantity=q, client_order_id=oid))\n            free -= q * bid_t / 100.0 + 1e-6\n            if bid_t > cb:\n                self.ahead.add(oid)\n        if ask_t <= 99 and add_a >= 0.01:\n            x = ask_t / 100.0\n            covk = sum(o.remaining_quantity - min(self.res.get(o.order_id, 0.0), o.remaining_quantity)\n                       for o in asks if o.order_id in kept_ids)\n            cov = max(0.0, Y - covk - 0.1)\n            unc = max(0.0, add_a - cov)\n            if unc > 0:\n                ub = max(0.0, free - (1 - P['fu']) * max(state.cash, 0.0)) if x >= P['xu'] else 0.0\n                if H < P['Hu'] and phat < 0.05:\n                    ub = max(0.0, free * (1 - H / P['Hu']))\n                unc = min(unc, ub / (1 - x))\n            q = fl(min(add_a, cov + unc))\n            if q >= 0.01:\n                oid = self._oid('a')\n                out.append(PlaceOrder(side=Side.SELL, price_ticks=ask_t, quantity=q, client_order_id=oid))\n                r = max(0.0, q - cov)\n                self.res[oid] = r\n                free -= r * (1 - x) + 1e-6\n                if ask_t < ca:\n                    self.ahead.add(oid)\n\n        # probes: tiny orders that the arbitrageur removes when p crosses them\n        f = int(math.floor(ptick + 1e-9))\n        r = max(int(P['rmin']), int(math.ceil(2.0 * s * 100)))\n        self.pb = set()\n        self.pa = set()\n        if free > 1.0:\n            for t in range(f, f + r + 1):\n                if cb < t < ca and 1 <= t <= 99:\n                    out.append(PlaceOrder(side=Side.BUY, price_ticks=t, quantity=PROBE))\n                    self.pb.add(t)\n            for t in range(f + 1 - r, f + 2):\n                if cb < t < ca and 1 <= t <= 99:\n                    out.append(PlaceOrder(side=Side.SELL, price_ticks=t, quantity=PROBE))\n                    self.pa.add(t)\n        if self.s == 3:\n            self.last_ask_tick = ask_t\n            self.last_flow_ca = ca\n            exposed_qty = ka + sum(o.quantity for o in out if o.side is Side.SELL and o.price_ticks == ask_t and o.quantity > PROBE)\n            self.last_flow_cap = exposed_qty * ask_t / 100.0\n            self.last_quote_exposed = ask_t / 100.0 > phat + max(0.005, P['flow_safety'] * self.st / 100.0) and self.last_flow_cap >= P['flow_exposure_min']\n            if self.last_quote_exposed:\n                logcap = math.log(self.last_flow_cap)\n                mu_flow = math.log(P['m']) - 0.5 * P['sig_n'] ** 2\n                clipped = P['m'] * cdf((logcap - mu_flow - P['sig_n'] ** 2) / P['sig_n']) + self.last_flow_cap * (1.0 - cdf((logcap - mu_flow) / P['sig_n']))\n                self.last_flow_correction = min(3.0, P['m'] / max(clipped, 0.01))\n        return actions + out\n", "code_sha256": "6d0f4c8eaebe08ce40176a6236a57c27eda72ed591975bb629056f56ff1069a0", "tried": ["Spread-4 seed enumeration using runner.sample_config(ChallengeConfig(), ParameterVariance(), seed=N).competitor.spread_ticks == 4. Full tuning seeds in 8000..15999: 8001,8002,8006,8017,8028,8032,8033,8040,8041,8044,8045,8070,8076,8085,8088,8089,8093,8094,8095,8102,8105,8106,8127,8129,8131,8133,8134,8138,8141,8144,8154,8156,8159,8160,8164,8169,8174,8176,8180,8186,8193,8195,8196,8204,8211,8213,8216,8220,8226,8241,8242,8244,8246,8247,8252,8254,8255,8257,8263,8264,8266,8272,8273,8274,8277,8280,8282,8288,8289,8294,8305,8310,8319,8320,8321,8326,8328,8330,8331,8332,8333,8338,8344,8346,8347,8348,8349,8352,8357,8362,8363,8368,8375,8379,8382,8389,8402,8403,8404,8406,8407,8408,8409,8411,8415,8416,8419,8421,8422,8424,8431,8433,8436,8441,8442,8443,8444,8448,8449,8452,8454,8465,8467,8475,8479,8483,8486,8494,8496,8497,8499,8500,8502,8505,8511,8513,8519,8522,8529,8532,8533,8534,8537,8543,8544,8546,8550,8554,8558,8559,8562,8564,8566,8570,8585,8590,8602,8603,8609,8611,8615,8619,8623,8624,8626,8627,8638,8641,8642,8644,8645,8647,8652,8654,8659,8660,8663,8664,8682,8688,8693,8694,8695,8696,8697,8702,8704,8706,8708,8709,8711,8712,8715,8717,8719,8720,8728,8737,8743,8744,8747,8752,8756,8761,8762,8771,8778,8784,8787,8799,8800,8801,8802,8807,8810,8813,8817,8818,8823,8824,8828,8833,8836,8837,8838,8844,8853,8858,8860,8863,8866,8870,8872,8876,8885,8892,8893,8894,8895,8897,8898,8899,8901,8903,8906,8908,8915,8917,8927,8928,8929,8933,8939,8946,8952,8957,8958,8968,8974,8977,8989,8992,8995,9002,9006,9009,9013,9014,9017,9020,9025,9030,9037,9040,9043,9045,9049,9063,9070,9079,9080,9083,9100,9101,9103,9118,9119,9122,9123,9126,9132,9133,9134,9135,9138,9149,9151,9153,9154,9156,9167,9168,9169,9172,9175,9176,9178,9193,9196,9199,9203,9212,9213,9214,9218,9222,9237,9238,9239,9249,9252,9260,9272,9273,9276,9281,9284,9286,9292,9294,9295,9298,9300,9301,9307,9309,9313,9324,9325,9330,9333,9335,9338,9347,9350,9356,9364,9365,9368,9372,9376,9377,9382,9387,9388,9389,9393,9396,9398,9403,9404,9405,9407,9409,9410,9412,9414,9418,9424,9427,9430,9431,9441,9442,9444,9446,9454,9455,9465,9466,9467,9472,9474,9478,9483,9487,9495,9497,9498,9501,9521,9531,9536,9539,9545,9548,9564,9570,9574,9575,9576,9577,9578,9581,9591,9592,9598,9600,9605,9606,9607,9608,9612,9613,9615,9617,9619,9623,9627,9632,9634,9635,9638,9643,9644,9649,9651,9662,9667,9668,9670,9675,9676,9677,9679,9685,9689,9690,9692,9696,9698,9711,9720,9721,9726,9731,9735,9736,9759,9760,9772,9773,9777,9778,9785,9789,9794,9797,9811,9822,9827,9830,9833,9834,9840,9841,9843,9847,9848,9850,9851,9855,9858,9859,9860,9862,9863,9870,9876,9877,9880,9883,9886,9887,9892,9895,9897,9898,9904,9911,9914,9915,9918,9922,9926,9932,9933,9934,9938,9940,9942,9946,9947,9949,9950,9953,9962,9963,9972,9974,9976,9977,9983,9985,9988,9993,9995,10004,10011,10013,10017,10027,10029,10030,10035,10041,10045,10048,10049,10052,10055,10063,10064,10066,10072,10081,10097,10108,10109,10115,10119,10122,10123,10127,10138,10139,10142,10144,10146,10149,10151,10153,10154,10157,10159,10161,10162,10166,10170,10177,10179,10180,10188,10191,10210,10211,10222,10225,10226,10228,10232,10234,10236,10238,10241,10242,10246,10262,10263,10268,10270,10271,10275,10278,10290,10291,10293,10294,10295,10297,10298,10302,10305,10307,10314,10316,10319,10328,10336,10337,10338,10347,10349,10351,10360,10361,10362,10363,10373,10374,10376,10377,10382,10384,10386,10389,10393,10401,10411,10414,10420,10421,10422,10423,10435,10440,10448,10450,10452,10458,10460,10464,10465,10481,10488,10496,10504,10510,10512,10517,10520,10533,10534,10536,10537,10546,10549,10551,10556,10558,10564,10573,10576,10579,10581,10583,10585,10586,10588,10590,10592,10601,10602,10603,10604,10609,10611,10615,10632,10638,10644,10645,10650,10658,10660,10661,10663,10677,10682,10684,10691,10700,10705,10710,10711,10713,10714,10718,10719,10720,10725,10733,10734,10740,10746,10749,10758,10763,10765,10770,10774,10778,10781,10783,10796,10798,10804,10806,10807,10808,10811,10814,10818,10820,10821,10824,10827,10830,10831,10832,10833,10846,10853,10859,10868,10869,10870,10873,10874,10880,10883,10885,10886,10892,10893,10898,10901,10902,10903,10904,10908,10909,10911,10920,10924,10925,10933,10935,10941,10942,10943,10961,10969,10970,10974,10975,10980,10988,10990,10991,10992,10993,10995,10996,11003,11005,11008,11011,11012,11018,11020,11031,11036,11037,11043,11046,11048,11055,11065,11066,11068,11069,11077,11083,11085,11087,11088,11089,11090,11092,11097,11098,11099,11102,11105,11112,11113,11117,11118,11121,11125,11138,11139,11140,11141,11143,11144,11150,11152,11155,11161,11162,11168,11173,11179,11180,11185,11211,11219,11221,11224,11225,11236,11239,11241,11242,11244,11249,11250,11255,11257,11259,11261,11263,11270,11274,11275,11276,11281,11285,11291,11293,11294,11295,11296,11297,11298,11300,11301,11302,11305,11311,11316,11322,11323,11324,11329,11336,11338,11341,11344,11345,11348,11350,11351,11362,11370,11372,11378,11391,11394,11402,11405,11412,11417,11421,11426,11431,11433,11439,11443,11445,11450,11455,11456,11457,11459,11464,11473,11478,11479,11483,11485,11489,11492,11493,11498,11503,11506,11507,11513,11514,11520,11523,11531,11544,11545,11547,11553,11556,11559,11560,11561,11564,11572,11574,11583,11584,11585,11587,11619,11623,11629,11630,11635,11638,11643,11647,11649,11650,11653,11656,11671,11679,11680,11685,11686,11688,11690,11691,11694,11701,11703,11711,11720,11725,11737,11739,11741,11748,11758,11761,11765,11779,11782,11785,11787,11792,11793,11796,11798,11799,11800,11802,11813,11824,11826,11827,11830,11835,11840,11844,11845,11846,11857,11861,11865,11875,11876,11878,11884,11885,11886,11892,11899,11901,11905,11906,11907,11908,11914,11915,11919,11921,11926,11933,11941,11942,11948,11949,11955,11956,11958,11962,11973,11974,11977,11979,11985,11988,11989,11991,11992,12000,12001,12002,12003,12008,12012,12015,12019,12023,12024,12026,12028,12030,12032,12038,12040,12053,12057,12063,12075,12080,12086,12091,12098,12102,12103,12106,12110,12116,12120,12125,12128,12131,12134,12154,12166,12174,12177,12180,12183,12186,12192,12203,12205,12212,12219,12222,12223,12224,12226,12229,12232,12233,12234,12235,12237,12238,12240,12244,12246,12249,12253,12256,12259,12262,12267,12271,12274,12275,12276,12277,12289,12291,12295,12300,12304,12307,12312,12313,12314,12315,12317,12318,12321,12325,12326,12332,12338,12341,12343,12344,12347,12349,12351,12353,12354,12357,12364,12369,12371,12373,12377,12382,12383,12386,12399,12401,12407,12409,12412,12413,12421,12423,12428,12434,12435,12446,12448,12451,12453,12456,12457,12459,12461,12468,12470,12472,12475,12476,12478,12481,12482,12494,12498,12499,12502,12506,12507,12508,12510,12514,12530,12533,12541,12545,12547,12558,12562,12568,12570,12576,12585,12589,12593,12594,12596,12598,12600,12604,12605,12607,12611,12612,12613,12622,12626,12627,12628,12632,12635,12637,12640,12648,12652,12659,12662,12666,12672,12674,12676,12684,12687,12691,12694,12696,12698,12700,12702,12708,12709,12713,12714,12716,12718,12724,12727,12730,12734,12736,12738,12745,12748,12762,12763,12766,12779,12780,12782,12790,12792,12793,12794,12796,12797,12798,12802,12805,12812,12820,12825,12826,12828,12831,12833,12835,12838,12844,12846,12847,12854,12863,12864,12865,12866,12870,12878,12884,12888,12889,12891,12892,12904,12905,12909,12914,12915,12916,12917,12918,12920,12922,12923,12924,12926,12927,12932,12933,12937,12938,12941,12950,12953,12955,12958,12964,12965,12970,12972,12975,12977,12978,12979,12980,12981,12984,12985,12998,12999,13001,13002,13003,13007,13012,13016,13023,13028,13029,13036,13038,13040,13046,13047,13048,13049,13052,13058,13059,13069,13074,13076,13083,13085,13089,13096,13098,13099,13100,13105,13107,13109,13110,13114,13115,13120,13124,13130,13132,13136,13137,13140,13141,13147,13150,13152,13153,13160,13163,13165,13169,13173,13174,13176,13179,13183,13188,13193,13196,13201,13203,13213,13220,13223,13227,13228,13231,13232,13234,13244,13246,13249,13250,13251,13255,13256,13257,13261,13263,13264,13274,13275,13281,13285,13287,13290,13291,13296,13298,13299,13300,13303,13306,13310,13312,13313,13315,13318,13321,13327,13328,13329,13334,13342,13345,13347,13354,13355,13356,13357,13359,13362,13369,13371,13373,13376,13389,13393,13404,13411,13412,13413,13418,13419,13420,13421,13423,13427,13428,13443,13454,13456,13459,13461,13465,13468,13474,13480,13483,13489,13491,13492,13493,13494,13500,13502,13503,13509,13513,13519,13522,13524,13535,13541,13548,13553,13555,13559,13560,13561,13564,13566,13567,13569,13572,13574,13576,13578,13579,13587,13593,13597,13599,13606,13608,13609,13621,13636,13646,13648,13650,13652,13657,13659,13665,13672,13673,13675,13678,13680,13682,13683,13684,13686,13691,13693,13696,13700,13702,13707,13710,13714,13722,13724,13730,13743,13748,13753,13758,13765,13767,13768,13774,13776,13777,13780,13784,13786,13787,13788,13793,13796,13799,13804,13808,13818,13820,13823,13826,13847,13852,13855,13857,13858,13859,13863,13872,13876,13880,13881,13882,13883,13885,13886,13892,13897,13901,13910,13913,13914,13931,13935,13940,13943,13945,13946,13950,13957,13975,13977,13986,13988,13991,13993,14004,14010,14012,14022,14024,14030,14036,14039,14044,14049,14050,14053,14057,14058,14064,14068,14071,14072,14073,14076,14078,14079,14082,14083,14085,14088,14089,14091,14092,14093,14095,14096,14098,14100,14104,14106,14109,14119,14122,14123,14129,14135,14137,14142,14143,14147,14161,14163,14167,14170,14172,14175,14179,14181,14185,14189,14190,14191,14198,14204,14206,14210,14211,14213,14214,14224,14226,14227,14228,14229,14236,14238,14240,14244,14256,14257,14259,14260,14271,14275,14279,14282,14296,14306,14307,14313,14318,14330,14335,14338,14340,14345,14350,14357,14361,14370,14390,14396,14405,14412,14415,14418,14420,14428,14431,14435,14436,14447,14448,14453,14455,14456,14464,14471,14474,14477,14501,14514,14515,14516,14519,14520,14522,14523,14525,14527,14534,14537,14541,14542,14545,14546,14547,14553,14556,14557,14577,14589,14594,14595,14608,14611,14612,14614,14622,14626,14628,14630,14634,14638,14643,14644,14648,14649,14652,14654,14664,14669,14680,14684,14685,14690,14691,14692,14698,14702,14710,14713,14715,14728,14735,14741,14744,14748,14755,14762,14764,14765,14767,14770,14771,14773,14777,14779,14780,14786,14802,14805,14810,14813,14815,14816,14820,14821,14822,14824,14832,14843,14852,14862,14868,14871,14872,14883,14886,14889,14891,14893,14896,14899,14900,14903,14920,14927,14935,14945,14966,14968,14975,14977,14981,14985,14991,14992,14993,15001,15004,15006,15007,15015,15017,15019,15028,15034,15038,15046,15047,15049,15054,15057,15064,15069,15072,15074,15077,15081,15082,15087,15089,15090,15093,15098,15101,15103,15108,15111,15114,15121,15123,15128,15129,15132,15134,15137,15143,15145,15154,15158,15159,15162,15167,15173,15178,15180,15183,15192,15193,15195,15196,15197,15198,15199,15200,15205,15208,15212,15219,15221,15224,15225,15229,15231,15233,15237,15238,15239,15240,15241,15243,15246,15248,15250,15254,15260,15262,15274,15287,15294,15300,15304,15306,15310,15316,15321,15324,15326,15329,15331,15332,15336,15337,15338,15339,15341,15348,15353,15355,15356,15360,15362,15364,15365,15367,15368,15371,15376,15386,15389,15396,15398,15400,15406,15407,15410,15412,15413,15421,15423,15424,15427,15429,15432,15440,15443,15444,15445,15463,15469,15475,15477,15487,15491,15496,15507,15508,15512,15515,15516,15518,15526,15528,15533,15534,15536,15538,15543,15546,15547,15549,15553,15554,15563,15566,15568,15571,15591,15592,15593,15599,15605,15606,15612,15624,15637,15640,15642,15643,15646,15652,15653,15662,15671,15672,15677,15683,15684,15687,15696,15701,15702,15704,15705,15707,15708,15714,15716,15717,15729,15736,15738,15740,15741,15743,15745,15749,15752,15753,15756,15759,15769,15770,15772,15774,15777,15778,15782,15786,15789,15790,15794,15796,15797,15806,15807,15810,15826,15827,15830,15838,15851,15852,15855,15858,15860,15861,15862,15865,15866,15870,15875,15876,15885,15886,15889,15892,15893,15895,15902,15904,15910,15913,15915,15919,15927,15938,15939,15943,15945,15948,15957,15961,15963,15967,15970,15977,15987,15989,15998. Used the first 700 sorted tuning seeds: discovery indices 0:200, validation 200:400, confirmation 400:700. Full unseen seeds in 60000..67999 (all 2009 used): 60001,60006,60007,60008,60015,60032,60034,60035,60041,60048,60057,60059,60065,60066,60070,60073,60074,60078,60080,60091,60095,60098,60101,60102,60115,60122,60123,60124,60129,60134,60136,60140,60151,60157,60161,60166,60176,60183,60184,60187,60192,60193,60197,60202,60204,60205,60206,60207,60213,60216,60220,60221,60226,60228,60229,60230,60231,60237,60239,60242,60245,60247,60256,60257,60271,60274,60275,60276,60277,60279,60282,60287,60291,60292,60300,60304,60305,60321,60322,60323,60326,60342,60347,60355,60356,60359,60371,60374,60379,60382,60389,60395,60402,60407,60408,60419,60420,60427,60428,60430,60431,60439,60450,60451,60455,60456,60457,60458,60466,60471,60476,60480,60481,60482,60483,60488,60495,60497,60503,60505,60508,60511,60513,60514,60515,60522,60540,60542,60547,60559,60565,60569,60571,60575,60577,60582,60585,60586,60589,60591,60594,60597,60600,60603,60614,60617,60624,60627,60630,60638,60641,60648,60650,60651,60652,60654,60657,60660,60662,60664,60673,60676,60681,60682,60693,60695,60697,60705,60706,60707,60715,60718,60721,60725,60726,60727,60728,60729,60734,60737,60747,60749,60754,60756,60757,60758,60759,60760,60766,60770,60775,60776,60783,60784,60788,60789,60791,60806,60816,60818,60823,60830,60832,60835,60842,60843,60845,60848,60865,60870,60872,60873,60876,60880,60886,60889,60890,60891,60892,60893,60901,60906,60907,60920,60928,60937,60938,60941,60946,60948,60951,60953,60958,60959,60960,60962,60964,60969,60971,60982,60983,60986,60989,60998,61013,61016,61023,61025,61026,61032,61037,61038,61042,61044,61048,61052,61055,61057,61059,61060,61066,61068,61070,61074,61079,61086,61089,61096,61097,61098,61100,61109,61113,61117,61118,61119,61125,61128,61129,61131,61135,61141,61142,61143,61167,61168,61172,61175,61178,61182,61183,61188,61189,61193,61198,61200,61211,61220,61224,61232,61234,61240,61250,61251,61254,61255,61256,61258,61265,61266,61267,61268,61280,61281,61286,61288,61303,61304,61305,61306,61316,61317,61333,61334,61335,61336,61338,61346,61349,61358,61361,61363,61364,61368,61380,61392,61404,61406,61407,61410,61416,61419,61423,61430,61442,61451,61453,61455,61456,61457,61458,61459,61461,61472,61473,61475,61478,61481,61482,61486,61489,61490,61497,61502,61506,61507,61510,61513,61518,61530,61534,61535,61536,61538,61541,61542,61547,61549,61557,61559,61564,61570,61577,61578,61580,61583,61584,61596,61597,61601,61604,61606,61617,61619,61623,61624,61625,61631,61632,61633,61635,61637,61638,61642,61647,61648,61650,61653,61654,61655,61657,61662,61665,61666,61668,61674,61680,61683,61684,61696,61698,61705,61715,61721,61724,61727,61729,61730,61739,61740,61742,61746,61758,61759,61775,61785,61794,61795,61797,61805,61807,61808,61811,61816,61828,61830,61849,61853,61860,61861,61867,61869,61878,61879,61881,61882,61887,61888,61890,61896,61903,61904,61908,61928,61931,61932,61933,61935,61936,61948,61950,61951,61953,61959,61961,61964,61968,61970,61971,61974,61975,61982,61983,61988,61999,62000,62005,62007,62012,62016,62022,62023,62028,62030,62034,62035,62036,62043,62044,62051,62052,62054,62056,62058,62059,62061,62062,62063,62070,62073,62075,62078,62080,62083,62084,62087,62089,62093,62095,62097,62099,62100,62105,62122,62123,62127,62132,62134,62135,62137,62148,62149,62150,62154,62157,62158,62160,62173,62176,62191,62195,62196,62198,62200,62202,62203,62205,62206,62207,62216,62218,62221,62228,62234,62235,62238,62246,62247,62252,62256,62259,62266,62267,62268,62269,62274,62283,62286,62289,62292,62294,62295,62296,62302,62314,62321,62330,62332,62334,62338,62342,62344,62345,62347,62350,62355,62356,62359,62360,62370,62373,62375,62377,62381,62382,62389,62390,62391,62395,62404,62405,62406,62407,62408,62411,62413,62420,62424,62426,62427,62428,62430,62431,62434,62440,62442,62444,62448,62449,62450,62451,62454,62460,62463,62473,62478,62479,62480,62482,62484,62486,62487,62490,62494,62496,62498,62499,62504,62505,62506,62507,62512,62515,62518,62519,62520,62521,62522,62524,62531,62534,62542,62543,62549,62550,62551,62554,62555,62558,62566,62575,62581,62586,62599,62600,62602,62603,62605,62610,62612,62628,62630,62631,62655,62658,62664,62669,62671,62673,62678,62686,62694,62695,62710,62715,62723,62724,62731,62735,62736,62744,62750,62752,62758,62765,62767,62768,62771,62773,62778,62779,62781,62782,62783,62787,62790,62798,62800,62803,62807,62814,62818,62819,62827,62832,62833,62836,62837,62840,62841,62847,62848,62849,62859,62862,62864,62871,62872,62873,62875,62878,62891,62895,62898,62901,62903,62904,62907,62910,62914,62916,62924,62934,62936,62937,62949,62954,62958,62959,62960,62961,62973,62992,62993,62995,62999,63000,63003,63006,63007,63013,63015,63025,63030,63032,63042,63045,63050,63057,63059,63063,63066,63072,63076,63082,63086,63094,63095,63098,63101,63105,63107,63108,63110,63112,63115,63132,63136,63137,63141,63142,63143,63145,63146,63147,63149,63151,63153,63154,63155,63166,63167,63170,63172,63173,63177,63179,63182,63184,63188,63189,63192,63196,63207,63208,63214,63218,63221,63226,63228,63234,63235,63236,63238,63254,63257,63263,63265,63266,63269,63278,63283,63284,63290,63294,63296,63297,63301,63302,63308,63314,63315,63322,63324,63326,63329,63330,63340,63341,63347,63349,63351,63353,63354,63358,63360,63363,63370,63371,63373,63375,63377,63378,63381,63385,63394,63397,63401,63402,63406,63414,63418,63420,63423,63431,63432,63434,63435,63437,63438,63440,63448,63453,63462,63463,63467,63477,63479,63480,63488,63490,63491,63492,63494,63495,63499,63515,63516,63517,63524,63527,63528,63530,63532,63538,63543,63551,63554,63556,63571,63572,63573,63574,63575,63576,63579,63580,63587,63588,63590,63594,63602,63603,63608,63611,63612,63614,63615,63616,63631,63632,63635,63637,63652,63654,63660,63661,63663,63667,63669,63689,63690,63691,63693,63702,63705,63706,63713,63715,63717,63722,63732,63734,63738,63752,63754,63762,63765,63766,63770,63773,63775,63777,63784,63787,63791,63796,63798,63799,63802,63806,63807,63808,63813,63814,63817,63820,63821,63822,63824,63825,63832,63848,63858,63859,63864,63865,63876,63881,63887,63888,63898,63900,63905,63918,63921,63923,63933,63943,63944,63947,63948,63949,63950,63953,63955,63960,63972,63973,63978,63981,63985,63989,63991,63993,63994,63995,64004,64008,64009,64010,64020,64025,64032,64037,64039,64041,64042,64043,64045,64048,64058,64062,64069,64074,64078,64085,64086,64088,64089,64093,64096,64100,64107,64120,64128,64130,64131,64132,64142,64143,64149,64150,64153,64162,64163,64166,64169,64173,64184,64187,64190,64196,64197,64201,64208,64209,64210,64220,64222,64226,64232,64233,64240,64241,64247,64254,64260,64262,64265,64271,64274,64275,64276,64281,64282,64283,64288,64289,64294,64302,64308,64314,64319,64322,64329,64338,64347,64349,64354,64356,64357,64359,64368,64370,64378,64379,64384,64387,64390,64393,64394,64395,64400,64408,64412,64413,64417,64427,64431,64432,64439,64440,64452,64460,64463,64469,64470,64472,64473,64474,64475,64482,64484,64495,64496,64502,64504,64509,64511,64513,64515,64518,64520,64521,64528,64530,64536,64541,64549,64562,64563,64564,64570,64584,64586,64590,64593,64597,64598,64599,64601,64602,64604,64605,64606,64611,64612,64613,64614,64621,64628,64630,64632,64634,64635,64636,64642,64652,64660,64664,64666,64667,64669,64672,64676,64678,64681,64685,64688,64695,64714,64715,64716,64717,64719,64721,64723,64731,64733,64734,64740,64751,64754,64756,64760,64761,64767,64771,64772,64775,64776,64779,64780,64785,64788,64796,64797,64803,64804,64807,64808,64814,64815,64817,64818,64825,64827,64828,64836,64837,64839,64841,64848,64850,64852,64853,64857,64869,64876,64877,64883,64887,64888,64893,64911,64912,64914,64915,64917,64919,64923,64928,64932,64937,64938,64944,64946,64955,64956,64958,64965,64968,64977,64983,64984,64988,64989,64990,64991,64992,64993,64994,64996,65000,65003,65006,65010,65013,65015,65017,65028,65031,65036,65039,65041,65042,65047,65050,65057,65070,65072,65075,65077,65078,65085,65087,65089,65091,65093,65094,65102,65107,65108,65110,65112,65122,65123,65131,65139,65140,65150,65151,65153,65156,65159,65160,65163,65165,65166,65173,65178,65183,65186,65190,65193,65197,65206,65213,65216,65222,65228,65233,65234,65236,65238,65241,65242,65248,65254,65255,65257,65262,65264,65265,65298,65299,65301,65302,65306,65307,65309,65312,65313,65317,65324,65327,65328,65336,65338,65340,65344,65351,65357,65366,65372,65373,65374,65384,65387,65390,65391,65399,65417,65421,65423,65424,65428,65429,65432,65437,65439,65440,65442,65443,65447,65448,65449,65450,65454,65456,65465,65466,65475,65476,65477,65479,65484,65485,65487,65497,65502,65506,65508,65520,65522,65528,65530,65533,65538,65539,65540,65543,65544,65552,65556,65559,65567,65570,65579,65581,65583,65588,65591,65593,65599,65601,65602,65604,65613,65621,65622,65623,65624,65625,65626,65631,65637,65639,65647,65648,65660,65673,65678,65679,65687,65691,65699,65708,65711,65712,65715,65716,65718,65721,65726,65727,65732,65741,65743,65747,65764,65766,65773,65777,65780,65782,65787,65795,65798,65800,65802,65804,65805,65806,65807,65814,65826,65831,65833,65841,65843,65848,65849,65850,65859,65865,65866,65868,65869,65870,65876,65881,65882,65889,65897,65898,65899,65900,65908,65911,65913,65923,65927,65933,65935,65943,65946,65947,65954,65963,65964,65967,65969,65973,65979,65983,65984,65986,65987,65991,65993,65995,65996,66000,66002,66005,66008,66024,66028,66029,66030,66031,66033,66046,66047,66048,66053,66078,66080,66093,66103,66105,66107,66114,66117,66123,66127,66133,66136,66139,66143,66144,66146,66149,66150,66159,66160,66167,66169,66170,66174,66181,66188,66190,66193,66195,66203,66206,66207,66211,66225,66226,66231,66237,66239,66241,66244,66246,66249,66252,66255,66260,66263,66264,66267,66271,66285,66289,66301,66307,66309,66310,66311,66316,66321,66324,66332,66346,66351,66353,66356,66361,66365,66367,66376,66383,66385,66388,66390,66391,66396,66400,66402,66412,66415,66416,66418,66419,66422,66429,66431,66438,66439,66445,66448,66449,66459,66468,66471,66472,66476,66478,66481,66482,66484,66488,66491,66496,66498,66505,66509,66512,66516,66518,66520,66521,66528,66531,66535,66541,66545,66548,66550,66552,66554,66560,66561,66566,66569,66571,66572,66573,66587,66592,66593,66598,66600,66606,66607,66608,66617,66627,66637,66642,66645,66651,66653,66655,66661,66673,66676,66682,66687,66688,66695,66696,66712,66716,66723,66726,66728,66729,66740,66747,66750,66755,66759,66761,66763,66766,66768,66770,66774,66778,66782,66786,66789,66793,66794,66797,66798,66800,66802,66815,66816,66819,66821,66827,66828,66829,66830,66833,66836,66841,66847,66848,66851,66856,66859,66862,66863,66868,66872,66874,66880,66882,66890,66896,66916,66917,66918,66921,66924,66927,66929,66937,66943,66945,66946,66948,66952,66953,66964,66965,66973,66976,66982,66983,66985,66989,66993,66994,67000,67005,67017,67021,67026,67027,67034,67038,67040,67053,67057,67065,67074,67076,67080,67086,67089,67091,67092,67093,67094,67099,67106,67110,67116,67119,67126,67132,67133,67141,67142,67148,67154,67163,67165,67174,67176,67177,67182,67186,67196,67199,67207,67208,67209,67214,67217,67218,67220,67223,67226,67227,67228,67229,67239,67240,67241,67250,67253,67254,67255,67257,67262,67263,67269,67270,67281,67287,67289,67290,67296,67298,67299,67301,67302,67305,67312,67314,67315,67316,67319,67320,67327,67329,67331,67332,67334,67335,67338,67339,67342,67343,67344,67346,67351,67359,67364,67373,67376,67380,67388,67394,67401,67408,67411,67412,67413,67420,67425,67426,67428,67429,67439,67440,67442,67445,67447,67449,67450,67453,67456,67458,67459,67462,67465,67472,67477,67478,67480,67487,67488,67496,67501,67505,67510,67515,67521,67526,67528,67531,67534,67538,67551,67555,67556,67573,67574,67582,67585,67586,67590,67597,67599,67604,67605,67611,67617,67618,67627,67630,67633,67637,67642,67651,67653,67657,67658,67661,67663,67664,67666,67667,67676,67689,67697,67720,67724,67726,67730,67738,67744,67749,67751,67760,67761,67765,67770,67773,67774,67790,67795,67802,67805,67808,67809,67812,67815,67817,67821,67823,67824,67825,67832,67834,67839,67845,67847,67852,67878,67893,67894,67895,67896,67902,67903,67905,67906,67907,67908,67911,67915,67916,67918,67920,67922,67925,67926,67939,67943,67949,67950,67951,67953,67956,67958,67959,67962,67964,67965,67972,67974,67981,67990,67993,67995,67999. Other-spread checks use the first 300 matching seeds per spread starting at 60000.", "Calibration: original CLI, 4000 simulations, seeds 4000..7999, workers=4, mean_edge=98.4694596619638, failures=0; exactly reproduced the provided calibration score.", "Discovery toxic_0p5 (existing qbid dmin=0 already forbids bids above the estimate): {\"n\": 120, \"mean\": 0.0, \"se\": 0.0, \"retail\": 0.0, \"arb\": 0.0, \"failures\": 0}", "Discovery toxic_0p25 (existing qbid dmin=0 already forbids bids above the estimate): {\"n\": 120, \"mean\": 0.0, \"se\": 0.0, \"retail\": 0.0, \"arb\": 0.0, \"failures\": 0}", "Discovery no_main_low: {\"n\": 120, \"mean\": -4.754323423651667, \"se\": 1.2330291503786006, \"retail\": -5.837660514581667, \"arb\": 1.0833370909299997, \"failures\": 0}", "Discovery no_main_mid: {\"n\": 120, \"mean\": -33.06321731372916, \"se\": 4.566388005607141, \"retail\": -36.54507805716, \"arb\": 3.4818607434966666, \"failures\": 0}", "Discovery no_main_high: {\"n\": 120, \"mean\": -10.9730825982475, \"se\": 1.0907695104229957, \"retail\": -13.107275259004165, \"arb\": 2.1341926607383335, \"failures\": 0}", "Discovery no_main_all: {\"n\": 120, \"mean\": -53.11488748318333, \"se\": 5.122007923586229, \"retail\": -58.87995477426583, \"arb\": 5.7650672911375, \"failures\": 0}", "Discovery near_0p0: {\"n\": 120, \"mean\": -3.8972718355308325, \"se\": 0.8858970236680892, \"retail\": -2.4361340215391674, \"arb\": -1.4611378139925002, \"failures\": 0}", "Discovery near_0p25: {\"n\": 120, \"mean\": -3.6616006508149983, \"se\": 0.8300485826155874, \"retail\": -2.321102197050833, \"arb\": -1.3404984537675, \"failures\": 0}", "Discovery near_0p5: {\"n\": 120, \"mean\": -2.029999718594166, \"se\": 0.5040926833489703, \"retail\": -1.272737589860833, \"arb\": -0.7572621287349999, \"failures\": 0}", "Discovery near_1p0: {\"n\": 120, \"mean\": -0.9516504518141653, \"se\": 0.2735997226572938, \"retail\": -0.7171025339208346, \"arb\": -0.2345479178958333, \"failures\": 0}", "Discovery ammo_0p0: {\"n\": 120, \"mean\": 0.5745545247916676, \"se\": 0.2770476278507821, \"retail\": -0.38021036839833283, \"arb\": 0.9547648931899999, \"failures\": 0}", "Discovery ammo_0p5: {\"n\": 120, \"mean\": 0.03271923478166793, \"se\": 0.15670458693003184, \"retail\": -0.17751700579250004, \"arb\": 0.21023624057083334, \"failures\": 0}", "Discovery ammo_2p0: {\"n\": 120, \"mean\": -0.520248929244166, \"se\": 0.13439114887876855, \"retail\": -0.09248110467916675, \"arb\": -0.42776782456583345, \"failures\": 0}", "Discovery q1_0p5: {\"n\": 120, \"mean\": -0.24676037812083465, \"se\": 0.20212376638912544, \"retail\": -0.04202070385000027, \"arb\": -0.20473967427333362, \"failures\": 0}", "Discovery q1_1p5: {\"n\": 120, \"mean\": -0.140306214379167, \"se\": 0.18844181820465264, \"retail\": -0.0008087607575004559, \"arb\": -0.13949745362333346, \"failures\": 0}", "Discovery q1_2p0: {\"n\": 120, \"mean\": -0.4987553016358331, \"se\": 0.3918857130893849, \"retail\": -0.0029680752000004417, \"arb\": -0.49578722643666684, \"failures\": 0}", "Discovery bridge_0p0: {\"n\": 120, \"mean\": -0.8362809191699994, \"se\": 0.278014135536926, \"retail\": -0.31285330832416813, \"arb\": -0.5234276108508336, \"failures\": 0}", "Discovery bridge_0p5: {\"n\": 120, \"mean\": -0.428289255423331, \"se\": 0.19507884941050846, \"retail\": -0.314932326260834, \"arb\": -0.1133569291550003, \"failures\": 0}", "Discovery bridge_2p0: {\"n\": 120, \"mean\": 0.1589047591074999, \"se\": 0.4953799578200553, \"retail\": 0.4983315085158325, \"arb\": -0.3394267494091669, \"failures\": 0}", "Discovery safe_0: {\"n\": 120, \"mean\": -0.023255098648332452, \"se\": 0.07630863897297455, \"retail\": -0.11150757343333405, \"arb\": 0.08825247478083315, \"failures\": 0}", "Discovery toxic_0p0: {\"n\": 120, \"mean\": 0.0, \"se\": 0.0, \"retail\": 0.0, \"arb\": 0.0, \"failures\": 0}", "Discovery sticky_stock1: {\"n\": 120, \"mean\": -0.13231535457250085, \"se\": 0.11081918206339633, \"retail\": -0.05685461304583394, \"arb\": -0.07546074153083364, \"failures\": 0}", "Discovery low_main_half: {\"n\": 120, \"mean\": 0.48845370025167023, \"se\": 0.2958373705958887, \"retail\": -0.35745900621333465, \"arb\": 0.8459127064658333, \"failures\": 0}", "Discovery no_low_main: {\"n\": 120, \"mean\": -2.7560001842949986, \"se\": 0.9549385280901735, \"retail\": -3.6178429990941687, \"arb\": 0.8618428148133335, \"failures\": 0}", "Discovery ammo_gap: {\"n\": 120, \"mean\": 0.1644573343066681, \"se\": 0.20612218417323058, \"retail\": -0.26913336450916603, \"arb\": 0.43359069881666673, \"failures\": 0}", "Discovery ammo_below1: {\"n\": 120, \"mean\": -0.17616374453499925, \"se\": 0.21072994318952562, \"retail\": -0.2949782736749995, \"arb\": 0.11881452914083332, \"failures\": 0}", "Discovery ammo_ahead: {\"n\": 120, \"mean\": 0.0, \"se\": 0.0, \"retail\": 0.0, \"arb\": 0.0, \"failures\": 0}", "Discovery all_stock_ahead: {\"n\": 120, \"mean\": 0.0, \"se\": 0.0, \"retail\": 0.0, \"arb\": 0.0, \"failures\": 0}", "Discovery shade_paid: {\"n\": 120, \"mean\": 0.5191132838416678, \"se\": 0.2685422576463348, \"retail\": -0.3473492017883345, \"arb\": 0.8664624856316667, \"failures\": 0}", "Discovery shade_expensive: {\"n\": 120, \"mean\": 0.14963000584750089, \"se\": 0.20993361899056026, \"retail\": -0.237555009534168, \"arb\": 0.3871850153841667, \"failures\": 0}", "Discovery excess_normal: {\"n\": 120, \"mean\": 0.9083943992908353, \"se\": 0.3868223400002611, \"retail\": -0.6716812043975019, \"arb\": 1.5800756036783332, \"failures\": 0}", "Discovery excess_moderate: {\"n\": 120, \"mean\": 0.8096338728008322, \"se\": 0.15316577868666703, \"retail\": -0.1063221636708338, \"arb\": 0.9159560364616667, \"failures\": 0}", "Extended discovery excess_normal: {\"n\": 200, \"mean\": 0.988249902455499, \"se\": 0.38503499163733296, \"retail\": -0.8053533747300012, \"arb\": 1.7936032771840005, \"failures\": 0}", "Extended discovery excess_moderate: {\"n\": 200, \"mean\": 0.7763117606279972, \"se\": 0.13200243386376787, \"retail\": -0.14449643714200028, \"arb\": 0.9208081977650003, \"failures\": 0}", "Extended discovery ammo_0p0: {\"n\": 200, \"mean\": 0.3139485354714996, \"se\": 0.40084940146927894, \"retail\": -0.6572746298754996, \"arb\": 0.9712231653475002, \"failures\": 0}", "Extended discovery shade_paid: {\"n\": 200, \"mean\": 0.2700746117389993, \"se\": 0.4003158522718435, \"retail\": -0.630906655341501, \"arb\": 0.9009812670825001, \"failures\": 0}", "Extended discovery low_main_half: {\"n\": 200, \"mean\": 0.7640968589400011, \"se\": 0.22938509289559794, \"retail\": -0.3152864683010017, \"arb\": 1.0793833272440005, \"failures\": 0}", "Extended discovery ammo_gap: {\"n\": 200, \"mean\": -0.10974997327699927, \"se\": 0.3763745835531082, \"retail\": -0.5876324535199998, \"arb\": 0.47788248024350016, \"failures\": 0}", "Independent tuning validation excess_normal: {\"n\": 200, \"mean\": 0.5249691355730011, \"se\": 0.2586576096783957, \"retail\": -0.3393116859979998, \"arb\": 0.8642808215720003, \"failures\": 0}", "Independent tuning validation excess_moderate: {\"n\": 200, \"mean\": 0.3763971830755001, \"se\": 0.10003693427128292, \"retail\": -0.12516871807349944, \"arb\": 0.5015659011505003, \"failures\": 0}", "Independent tuning validation low_main_half: {\"n\": 200, \"mean\": 0.4649886675449998, \"se\": 0.12682139189012626, \"retail\": -0.1588931243049989, \"arb\": 0.6238817918515001, \"failures\": 0}", "Final tuning confirmation excess_normal: {\"n\": 300, \"mean\": -0.07881057786633194, \"se\": 0.3826647793511206, \"retail\": -0.9228157528026663, \"arb\": 0.8440051749380002, \"failures\": 0}", "Final tuning confirmation low_main_half: {\"n\": 300, \"mean\": 0.32019966435200076, \"se\": 0.1859947520767337, \"retail\": -0.2255062463030006, \"arb\": 0.5457059106530001, \"failures\": 0}", "Final tuning confirmation excess_moderate: {\"n\": 300, \"mean\": 0.3102032520903353, \"se\": 0.1511091812166346, \"retail\": -0.11228106907699993, \"arb\": 0.42248432116966683, \"failures\": 0}", "Unoptimized half-depth policy gained on 2009 unseen runs but failed the 200-run timing requirement: base=164.52314067111 seconds, candidate=164.6828116180841 seconds. Replaced repeated zip creation and math.exp lookups in the spread-4 belief loop with one cached tuple and bound function; arithmetic and iteration order remain identical.", "Original simulator, optimized implementation: every SimulationResult field equals the frozen unoptimized half-depth policy on all 2009 unseen runs; paired gain {\"n\": 2009, \"mean\": 0.605756228189398, \"se\": 0.08422390498135768, \"retail\": -0.23083649556520702, \"arb\": 0.8365927237560977, \"failures\": 0}", "Single-process original-simulator timing, 200 runs each: {\"wall_seconds\": {\"base\": 163.12710103284917, \"yours\": 159.97015790370642}, \"cpu_seconds\": {\"base\": 163.10343935000017, \"yours\": 159.94924833999994}}", "Base bid-fill audit, 200 spread-4 tuning runs; price-zone/aggressor -> mean edge, mean shares, mean fill count: {\"1/arb\": [-2.0231271517606064, 2073.2149499999987, 140.3949999999999], \"1/retail\": [1.920313122926109, 277.59784999999994, 4.709999999999996], \"11-50/arb\": [-3.21901276869392, 356.43359999999984, 1223.024999999999], \"11-50/retail\": [17.72738695868739, 665.1764500000007, 139.95500000000013], \"2-5/arb\": [-5.276807110729048, 2348.322499999999, 360.6599999999999], \"2-5/retail\": [5.253028369229908, 449.8627499999997, 11.910000000000004], \"51-99/arb\": [-2.2540745917886853, 145.83835000000005, 1236.7400000000005], \"51-99/retail\": [11.43241263846286, 382.60245000000043, 195.52000000000007], \"6-10/arb\": [-1.0342062202857745, 248.35899999999995, 136.18999999999997], \"6-10/retail\": [3.3180769682080835, 171.45289999999997, 11.72000000000001]}", "Tuning book-lookup acceleration matched all SimulationResult fields on 25 original runs; all final unseen scores, 900 other-spread checks and 200-run paired timing use the original unmodified simulator. The delivered strategy needs only the normal challenge API and standard library.", "Selected half-depth bids with equivalent belief-loop caching: {\"n\": 2009, \"mean\": 0.605756228189398, \"se\": 0.08422390498135768, \"retail\": -0.23083649556520702, \"arb\": 0.8365927237560977, \"failures\": 0}"], "next": "Use fresh seeds to test inventory-dependent depth reduction at ticks 2-5: preserve full depth when YES stock cannot cover near-term retail demand, then reduce excess depth. The moderate inventory-loss penalty also passed independent validation and confirmation; compare it with the final half-depth rule before combining them. Trace the retail edge lost after bid reductions to distinguish useful replenishment from redundant stock."}