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asadoughi/faiss_brute_force_bench.ipynb

Created February 7, 2025 00:53
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faiss_brute_force_bench.ipynb
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "467c261e-132e-49c9-8b91-f467eb1b1b25",
"metadata": {},
"outputs": [],
"source": [
"import faiss\n",
"import faiss.contrib.torch_utils\n",
"import time\n",
"import torch\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import os"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "c8328875-9aa4-4595-be74-aa42a4efee93",
"metadata": {},
"outputs": [],
"source": [
"def torch_topk(xq, xb, k):\n",
" with torch.no_grad():\n",
" alldis = xb @ xq.T\n",
" r = torch.topk(alldis, k=k, dim=0)\n",
" return r.values #, r.indices\n",
"\n",
"def measure(f):\n",
" # warmup\n",
" f()\n",
" torch.cuda.synchronize()\n",
" t = 10000\n",
" repeat = 10\n",
" cycle = 3\n",
" for c in range(cycle):\n",
" s = 0\n",
" t0 = time.time()\n",
" for _ in range(repeat):\n",
" D = f()\n",
" s += D.sum().item()\n",
" torch.cuda.synchronize()\n",
" t1 = time.time()\n",
" if c == 0:\n",
" repeat /= (t1 - t0)\n",
" repeat = max(1, int(repeat / 2))\n",
" # print(f\"{repeat=}\")\n",
" else:\n",
" t = min(t, t1 - t0)\n",
" return t / repeat, s / repeat, repeat\n",
"\n",
"def bench_brute_force(d=1024, nb=2_000_000, ks=[1, 16, 256], device_id=0):\n",
" device = torch.device(f\"cuda:{device_id}\")\n",
" xb = torch.randn((nb, d)).to(device)\n",
" res = faiss.StandardGpuResources()\n",
" res.setDefaultNullStreamAllDevices()\n",
"\n",
" for k in ks:\n",
" def faiss_topk(use_cuvs):\n",
" faiss.knn_gpu(res, xq, xb, k, D, I, metric=faiss.METRIC_INNER_PRODUCT, device=device_id, use_cuvs=use_cuvs)\n",
" return D\n",
"\n",
" fn = f\"/tmp/checkpoint/gsz/result_{d}_{nb}_{k}.npy\"\n",
" # assert os.path.exists(fn)\n",
" # if os.path.exists(fn):\n",
" # results = np.load(fn)\n",
" #else:\n",
" \n",
" results = np.empty((0, 3))\n",
" \n",
" start = results.shape[0] + 1\n",
" for nq in range(start, 32):\n",
" print(f\"{nq=}\")\n",
" xq = torch.randn((nq, d)).to(device)\n",
" D = torch.empty(nq, k, device=xb.device, dtype=torch.float32)\n",
" I = torch.empty(nq, k, device=xb.device, dtype=torch.int64)\n",
" classic_t, s, r = measure(lambda: faiss_topk(False))\n",
" print(f\" faiss classic gpu: {classic_t} ({s}, {r})\")\n",
" raft_t, s, r = measure(lambda: faiss_topk(True))\n",
" print(f\" faiss cuvs gpu: {raft_t} ({s}, {r})\")\n",
" torch_t, s, r = measure(lambda: torch_topk(xq, xb, k))\n",
" print(f\" torch topk: {torch_t} ({s}, {r})\")\n",
" results = np.append(results, [[classic_t, raft_t, torch_t]], axis=0)\n",
" np.save(fn, results)\n",
" # if torch_t > min(classic_t, raft_t):\n",
" # break\n",
" print(f\"{results=}\")"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "cd0e4582-eb72-4a81-8464-7b780f14757a",
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"nq=1\n",
" faiss classic gpu: 0.00016522791426060564 (49.2262077331543, 2360)\n",
" faiss cuvs gpu: 0.00035262050536962657 (49.2262077331543, 1664)\n",
" torch topk: 0.00019219176210739857 (49.2262077331543, 2557)\n",
"nq=2\n",
" faiss classic gpu: 0.00017019635752627723 (93.16732788085938, 2736)\n",
" faiss cuvs gpu: 0.00029511148967440164 (93.16732788085938, 630)\n",
" torch topk: 0.00020637795788601106 (93.16731262207031, 2270)\n",
"nq=3\n",
" faiss classic gpu: 0.00018906866608872243 (145.76123046875, 2530)\n",
" faiss cuvs gpu: 0.000360847887944202 (145.76123046875, 1568)\n",
" torch topk: 0.00022843287397567778 (145.76123046875, 1531)\n",
"nq=4\n",
" faiss classic gpu: 0.00021220850984455153 (203.20010375976562, 2388)\n",
" faiss cuvs gpu: 0.0003666151289971883 (203.20010375976562, 745)\n",
" torch topk: 0.00021250975870453151 (203.20010375976562, 2260)\n",
"nq=5\n",
" faiss classic gpu: 0.00020006019352585287 (245.56423950195312, 2419)\n",
" faiss cuvs gpu: 0.0006925813082990976 (245.56423950195312, 870)\n",
" torch topk: 0.00021706700007684905 (245.56423950195312, 2254)\n",
"nq=6\n",
" faiss classic gpu: 0.00020222439202231222 (300.1032409667969, 2377)\n",
" faiss cuvs gpu: 0.0005712113915917708 (300.1032409667969, 187)\n",
" torch topk: 0.00022250015093232582 (300.1032409667969, 2212)\n",
"nq=7\n",
" faiss classic gpu: 0.00020161567775502844 (330.060791015625, 2441)\n",
" faiss cuvs gpu: 0.0007068551176573794 (330.060791015625, 869)\n",
" torch topk: 0.00022694201094779453 (330.060791015625, 2151)\n",
"nq=8\n",
" faiss classic gpu: 0.00020308175991321433 (368.41046142578125, 2320)\n",
" faiss cuvs gpu: 0.0007231000279973689 (368.41046142578125, 821)\n",
" torch topk: 0.00023853271193091216 (368.41046142578125, 2043)\n",
"nq=9\n",
" faiss classic gpu: 0.00020483285568483623 (458.939453125, 2354)\n",
" faiss cuvs gpu: 0.000590380327201184 (458.939453125, 81)\n",
" torch topk: 0.00023855593770295887 (458.939453125, 2069)\n",
"nq=10\n",
" faiss classic gpu: 0.0002040882724853314 (525.7822875976562, 2422)\n",
" faiss cuvs gpu: 0.0005993499412192954 (525.7822875976562, 111)\n",
" torch topk: 0.00023962718330338334 (525.7822875976562, 2036)\n",
"nq=11\n",
" faiss classic gpu: 0.0002033492216129893 (559.5494384765625, 2425)\n",
" faiss cuvs gpu: 0.0005892097949981689 (559.5494384765625, 80)\n",
" torch topk: 0.0002415154201297637 (559.5494384765625, 2017)\n",
"nq=12\n",
" faiss classic gpu: 0.0002040239874385457 (593.9417724609375, 2330)\n",
" faiss cuvs gpu: 0.0007251472834727211 (593.9417724609375, 844)\n",
" torch topk: 0.00024522366814702315 (593.9417724609375, 1983)\n",
"nq=13\n",
" faiss classic gpu: 0.00020569212296429803 (672.3829345703125, 2380)\n",
" faiss cuvs gpu: 0.0007349269690253106 (672.3829345703125, 842)\n",
" torch topk: 0.00024592366992917837 (672.3829345703125, 1989)\n",
"nq=14\n",
" faiss classic gpu: 0.00020622812426555743 (691.49560546875, 2356)\n",
" faiss cuvs gpu: 0.000734425775753045 (691.49560546875, 805)\n",
" torch topk: 0.00024791554440049856 (691.49560546875, 1918)\n",
"nq=15\n",
" faiss classic gpu: 0.00020596212921781022 (754.147216796875, 2390)\n",
" faiss cuvs gpu: 0.0007287261018342378 (754.147216796875, 836)\n",
" torch topk: 0.0002516190857099001 (754.147216796875, 1845)\n",
"nq=16\n",
" faiss classic gpu: 0.00020557817290810978 (802.3287353515625, 2312)\n",
" faiss cuvs gpu: 0.0007393821965695582 (802.3287353515625, 826)\n",
" torch topk: 0.0002623202980205577 (802.3287353515625, 1860)\n",
"nq=17\n",
" faiss classic gpu: 0.0002104634310658552 (843.1943359375, 2302)\n",
" faiss cuvs gpu: 0.0006012500718582508 (843.1943359375, 86)\n",
" torch topk: 0.0002522464897034412 (843.1943359375, 1949)\n",
"nq=18\n",
" faiss classic gpu: 0.00020895325024105488 (911.4939575195312, 2334)\n",
" faiss cuvs gpu: 0.0006022430383242094 (911.4939575195312, 104)\n",
" torch topk: 0.00026175373260232097 (911.4939575195312, 1836)\n",
"nq=19\n",
" faiss classic gpu: 0.00021154436014466366 (919.849853515625, 2360)\n",
" faiss cuvs gpu: 0.0007198553541745588 (919.849853515625, 794)\n",
" torch topk: 0.00027463778643540935 (919.849853515625, 1775)\n",
"nq=20\n",
" faiss classic gpu: 0.00020536316288794406 (1002.0921630859375, 2222)\n",
" faiss cuvs gpu: 0.0005814662346473107 (1002.0921630859375, 91)\n",
" torch topk: 0.00027914905330857817 (1002.0921630859375, 1756)\n",
"nq=21\n",
" faiss classic gpu: 0.00020739862644640996 (1041.178466796875, 2278)\n",
" faiss cuvs gpu: 0.0005887246900989164 (1041.178466796875, 62)\n",
" torch topk: 0.0002890645930197387 (1041.178466796875, 1695)\n",
"nq=22\n",
" faiss classic gpu: 0.0002074909784954989 (1112.138671875, 2323)\n",
" faiss cuvs gpu: 0.0007144259610818311 (1112.138671875, 839)\n",
" torch topk: 0.00030199112660561227 (1112.138671875, 1606)\n",
"nq=23\n",
" faiss classic gpu: 0.00021040278862434245 (1136.1632080078125, 2299)\n",
" faiss cuvs gpu: 0.0007218088337671415 (1136.1632080078125, 803)\n",
" torch topk: 0.0003152056415901111 (1136.1632080078125, 1567)\n",
"nq=24\n",
" faiss classic gpu: 0.00020826794764059622 (1188.1807861328125, 2341)\n",
" faiss cuvs gpu: 0.0005888938903808594 (1188.1807861328125, 91)\n",
" torch topk: 0.00029723026666296536 (1188.1807861328125, 1660)\n",
"nq=25\n",
" faiss classic gpu: 0.00020957461789123015 (1201.115234375, 2340)\n",
" faiss cuvs gpu: 0.0005803349312771572 (1201.115234375, 89)\n",
" torch topk: 0.00031819760643782253 (1201.115234375, 1532)\n",
"nq=26\n",
" faiss classic gpu: 0.00021036949290284687 (1327.58056640625, 2302)\n",
" faiss cuvs gpu: 0.0007202457414322082 (1327.58056640625, 838)\n",
" torch topk: 0.00032501103585226495 (1327.58056640625, 1425)\n",
"nq=27\n",
" faiss classic gpu: 0.00020994109192998741 (1323.9412841796875, 2211)\n",
" faiss cuvs gpu: 0.0005975758157125334 (1323.9412841796875, 82)\n",
" torch topk: 0.00034398906840992584 (1323.9412841796875, 1403)\n",
"nq=28\n",
" faiss classic gpu: 0.00021076915969311352 (1409.8883056640625, 2272)\n",
" faiss cuvs gpu: 0.0008684233463171757 (1409.8883056640625, 825)\n",
" torch topk: 0.0003549372695408259 (1409.8883056640625, 1364)\n",
"nq=29\n",
" faiss classic gpu: 0.00021187425817100747 (1411.3095703125, 2266)\n",
" faiss cuvs gpu: 0.0007354980346151571 (1411.3095703125, 809)\n",
" torch topk: 0.00036218279883975076 (1411.3095703125, 1365)\n",
"nq=30\n",
" faiss classic gpu: 0.00021176870380129132 (1426.23779296875, 2240)\n",
" faiss cuvs gpu: 0.000606910291924534 (1426.23779296875, 83)\n",
" torch topk: 0.0004003104018855656 (1426.23779296875, 1233)\n",
"nq=31\n",
" faiss classic gpu: 0.0002117607691516615 (1562.9071044921875, 2190)\n",
" faiss cuvs gpu: 0.0007450308793834889 (1562.9071044921875, 807)\n",
" torch topk: 0.00039475508040321333 (1562.9071044921875, 1223)\n",
"results=array([[0.00016523, 0.00035262, 0.00019219],\n",
" [0.0001702 , 0.00029511, 0.00020638],\n",
" [0.00018907, 0.00036085, 0.00022843],\n",
" [0.00021221, 0.00036662, 0.00021251],\n",
" [0.00020006, 0.00069258, 0.00021707],\n",
" [0.00020222, 0.00057121, 0.0002225 ],\n",
" [0.00020162, 0.00070686, 0.00022694],\n",
" [0.00020308, 0.0007231 , 0.00023853],\n",
" [0.00020483, 0.00059038, 0.00023856],\n",
" [0.00020409, 0.00059935, 0.00023963],\n",
" [0.00020335, 0.00058921, 0.00024152],\n",
" [0.00020402, 0.00072515, 0.00024522],\n",
" [0.00020569, 0.00073493, 0.00024592],\n",
" [0.00020623, 0.00073443, 0.00024792],\n",
" [0.00020596, 0.00072873, 0.00025162],\n",
" [0.00020558, 0.00073938, 0.00026232],\n",
" [0.00021046, 0.00060125, 0.00025225],\n",
" [0.00020895, 0.00060224, 0.00026175],\n",
" [0.00021154, 0.00071986, 0.00027464],\n",
" [0.00020536, 0.00058147, 0.00027915],\n",
" [0.0002074 , 0.00058872, 0.00028906],\n",
" [0.00020749, 0.00071443, 0.00030199],\n",
" [0.0002104 , 0.00072181, 0.00031521],\n",
" [0.00020827, 0.00058889, 0.00029723],\n",
" [0.00020957, 0.00058033, 0.0003182 ],\n",
" [0.00021037, 0.00072025, 0.00032501],\n",
" [0.00020994, 0.00059758, 0.00034399],\n",
" [0.00021077, 0.00086842, 0.00035494],\n",
" [0.00021187, 0.0007355 , 0.00036218],\n",
" [0.00021177, 0.00060691, 0.00040031],\n",
" [0.00021176, 0.00074503, 0.00039476]])\n",
"nq=1\n",
" faiss classic gpu: 0.00047245697499254677 (659.6661376953125, 1022)\n",
" faiss cuvs gpu: 0.0003566168281851416 (659.6661376953125, 1571)\n",
" torch topk: 0.0002010726081836853 (659.6661376953125, 2027)\n",
"nq=2\n",
" faiss classic gpu: 0.00046316017172491923 (1448.402099609375, 1059)\n",
" faiss cuvs gpu: 0.0003788292330881294 (1448.402099609375, 773)\n",
" torch topk: 0.00021742546364768753 (1448.402099609375, 2155)\n",
"nq=3\n",
" faiss classic gpu: 0.00048727862727197075 (2099.765625, 1018)\n",
" faiss cuvs gpu: 0.00039183513361595526 (2099.765625, 1459)\n",
" torch topk: 0.00022376263856426659 (2099.765625, 2068)\n",
"nq=4\n",
" faiss classic gpu: 0.0004807688288486251 (2818.518798828125, 1013)\n",
" faiss cuvs gpu: 0.0007148900274503029 (2818.518798828125, 826)\n",
" torch topk: 0.00022304125298234752 (2818.518798828125, 2128)\n",
"nq=5\n",
" faiss classic gpu: 0.00048357583432791224 (3435.82421875, 996)\n",
" faiss cuvs gpu: 0.0007403299595472132 (3435.82421875, 817)\n",
" torch topk: 0.00022597053424030746 (3435.82421875, 2058)\n",
"nq=6\n",
" faiss classic gpu: 0.0004844315878049595 (4140.1640625, 1016)\n",
" faiss cuvs gpu: 0.0007201458848834608 (4140.1640625, 836)\n",
" torch topk: 0.0002305685853552119 (4140.16455078125, 2114)\n",
"nq=7\n",
" faiss classic gpu: 0.0004941564965918361 (4865.478515625, 996)\n",
" faiss cuvs gpu: 0.0006145701116445113 (4865.478515625, 98)\n",
" torch topk: 0.00023702474740835337 (4865.478515625, 2067)\n",
"nq=8\n",
" faiss classic gpu: 0.0005033219166291065 (5492.1044921875, 975)\n",
" faiss cuvs gpu: 0.0006291185106549944 (5492.1044921875, 84)\n",
" torch topk: 0.0002479301731517981 (5492.1044921875, 1915)\n",
"nq=9\n",
" faiss classic gpu: 0.0004844506897306016 (6148.044921875, 1007)\n",
" faiss cuvs gpu: 0.000753582274583485 (6148.044921875, 794)\n",
" torch topk: 0.00024773092094681706 (6148.044921875, 1905)\n",
"nq=10\n",
" faiss classic gpu: 0.0005014987447153983 (7113.1015625, 995)\n",
" faiss cuvs gpu: 0.0007533672073227145 (7113.1015625, 779)\n",
" torch topk: 0.00024845348336950825 (7113.1005859375, 1979)\n",
"nq=11\n",
" faiss classic gpu: 0.0004996793965498606 (7862.171875, 960)\n",
" faiss cuvs gpu: 0.0013640789275473737 (7862.171875, 47)\n",
" torch topk: 0.00025307497620890613 (7862.171875, 1935)\n",
"nq=12\n",
" faiss classic gpu: 0.000509866111946904 (8339.84375, 956)\n",
" faiss cuvs gpu: 0.0007602874629833798 (8339.84375, 787)\n",
" torch topk: 0.0002570624398713065 (8339.84375, 1919)\n",
"nq=13\n",
" faiss classic gpu: 0.0005052694166549529 (9085.763671875, 990)\n",
" faiss cuvs gpu: 0.0006212192831687557 (9085.763671875, 103)\n",
" torch topk: 0.00025517975399611263 (9085.7646484375, 1914)\n",
"nq=14\n",
" faiss classic gpu: 0.00050580283932947 (9575.42578125, 986)\n",
" faiss cuvs gpu: 0.0006086881133331649 (9575.42578125, 87)\n",
" torch topk: 0.00025610121043235324 (9575.42578125, 1491)\n",
"nq=15\n",
" faiss classic gpu: 0.0005005313407889994 (10387.26953125, 959)\n",
" faiss cuvs gpu: 0.0007438908937085892 (10387.26953125, 813)\n",
" torch topk: 0.00026056324613505397 (10387.26953125, 1856)\n",
"nq=16\n",
" faiss classic gpu: 0.0005038021304083209 (10916.865234375, 987)\n",
" faiss cuvs gpu: 0.0006084754353477841 (10916.865234375, 168)\n",
" torch topk: 0.0002708898541169269 (10916.865234375, 1821)\n",
"nq=17\n",
" faiss classic gpu: 0.0005091785155620772 (11635.53125, 970)\n",
" faiss cuvs gpu: 0.0006166068956380435 (11635.53125, 359)\n",
" torch topk: 0.0002633473953004069 (11635.53125, 1821)\n",
"nq=18\n",
" faiss classic gpu: 0.0005115752691750998 (12774.037109375, 910)\n",
" faiss cuvs gpu: 0.0007493862738976112 (12774.037109375, 806)\n",
" torch topk: 0.0002687531755978736 (12774.037109375, 1802)\n",
"nq=19\n",
" faiss classic gpu: 0.0005182730076947802 (13329.8251953125, 954)\n",
" faiss cuvs gpu: 0.0007553520971341457 (13329.8251953125, 794)\n",
" torch topk: 0.00028417366138402966 (13329.826171875, 1725)\n",
"nq=20\n",
" faiss classic gpu: 0.0005107556123763292 (13536.818359375, 961)\n",
" faiss cuvs gpu: 0.0007604482162058057 (13536.818359375, 804)\n",
" torch topk: 0.0002886966266463288 (13536.8193359375, 1695)\n",
"nq=21\n",
" faiss classic gpu: 0.0005187569437800227 (14496.4970703125, 962)\n",
" faiss cuvs gpu: 0.0007630077038864116 (14496.4970703125, 779)\n",
" torch topk: 0.00029967469802493363 (14496.498046875, 1639)\n",
"nq=22\n",
" faiss classic gpu: 0.0005180005136591941 (15295.734375, 953)\n",
" faiss cuvs gpu: 0.0007993230168123423 (15295.734375, 805)\n",
" torch topk: 0.00031012551133722106 (15295.734375, 1546)\n",
"nq=23\n",
" faiss classic gpu: 0.0005199396347574273 (15606.2470703125, 953)\n",
" faiss cuvs gpu: 0.0007530544581038229 (15606.2470703125, 801)\n",
" torch topk: 0.0003245214320390612 (15606.24609375, 1519)\n",
"nq=24\n",
" faiss classic gpu: 0.0005216850924541865 (16787.34375, 954)\n",
" faiss cuvs gpu: 0.0006189127078001527 (16787.34375, 87)\n",
" torch topk: 0.0003065007631895972 (16787.34375, 1586)\n",
"nq=25\n",
" faiss classic gpu: 0.0005217754866377445 (17230.08984375, 934)\n",
" faiss cuvs gpu: 0.0007652146825435379 (17230.08984375, 779)\n",
" torch topk: 0.00033197476510470704 (17230.08984375, 1491)\n",
"nq=26\n",
" faiss classic gpu: 0.0005259157626580531 (18109.390625, 937)\n",
" faiss cuvs gpu: 0.0007498842654841961 (18109.390625, 808)\n",
" torch topk: 0.000335061622977014 (18109.388671875, 1473)\n",
"nq=27\n",
" faiss classic gpu: 0.0005205947949888888 (18621.6328125, 929)\n",
" faiss cuvs gpu: 0.0006339550018310547 (18621.6328125, 108)\n",
" torch topk: 0.0003532973453725989 (18621.6328125, 1382)\n",
"nq=28\n",
" faiss classic gpu: 0.0005228663003572854 (19740.68359375, 930)\n",
" faiss cuvs gpu: 0.0006333744084393537 (19740.68359375, 108)\n",
" torch topk: 0.000364527617055151 (19740.685546875, 1342)\n",
"nq=29\n",
" faiss classic gpu: 0.000529028277341415 (20066.068359375, 941)\n",
" faiss cuvs gpu: 0.0006302501378434428 (20066.068359375, 89)\n",
" torch topk: 0.0003705337903856235 (20066.0703125, 1317)\n",
"nq=30\n",
" faiss classic gpu: 0.0005351750433573712 (20900.0, 926)\n",
" faiss cuvs gpu: 0.0006399994546716863 (20900.0, 88)\n",
" torch topk: 0.0004099362004386641 (20900.0, 1083)\n",
"nq=31\n",
" faiss classic gpu: 0.0005255284951485808 (21112.2421875, 906)\n",
" faiss cuvs gpu: 0.0007720612387620766 (21112.2421875, 786)\n",
" torch topk: 0.0004049026139891974 (21112.2421875, 1212)\n",
"results=array([[0.00047246, 0.00035662, 0.00020107],\n",
" [0.00046316, 0.00037883, 0.00021743],\n",
" [0.00048728, 0.00039184, 0.00022376],\n",
" [0.00048077, 0.00071489, 0.00022304],\n",
" [0.00048358, 0.00074033, 0.00022597],\n",
" [0.00048443, 0.00072015, 0.00023057],\n",
" [0.00049416, 0.00061457, 0.00023702],\n",
" [0.00050332, 0.00062912, 0.00024793],\n",
" [0.00048445, 0.00075358, 0.00024773],\n",
" [0.0005015 , 0.00075337, 0.00024845],\n",
" [0.00049968, 0.00136408, 0.00025307],\n",
" [0.00050987, 0.00076029, 0.00025706],\n",
" [0.00050527, 0.00062122, 0.00025518],\n",
" [0.0005058 , 0.00060869, 0.0002561 ],\n",
" [0.00050053, 0.00074389, 0.00026056],\n",
" [0.0005038 , 0.00060848, 0.00027089],\n",
" [0.00050918, 0.00061661, 0.00026335],\n",
" [0.00051158, 0.00074939, 0.00026875],\n",
" [0.00051827, 0.00075535, 0.00028417],\n",
" [0.00051076, 0.00076045, 0.0002887 ],\n",
" [0.00051876, 0.00076301, 0.00029967],\n",
" [0.000518 , 0.00079932, 0.00031013],\n",
" [0.00051994, 0.00075305, 0.00032452],\n",
" [0.00052169, 0.00061891, 0.0003065 ],\n",
" [0.00052178, 0.00076521, 0.00033197],\n",
" [0.00052592, 0.00074988, 0.00033506],\n",
" [0.00052059, 0.00063396, 0.0003533 ],\n",
" [0.00052287, 0.00063337, 0.00036453],\n",
" [0.00052903, 0.00063025, 0.00037053],\n",
" [0.00053518, 0.00064 , 0.00040994],\n",
" [0.00052553, 0.00077206, 0.0004049 ]])\n",
"nq=1\n",
" faiss classic gpu: 0.0005948085388034181 (8764.123046875, 817)\n",
" faiss cuvs gpu: 0.0006715081894623877 (8764.123046875, 369)\n",
" torch topk: 0.00021494868578332844 (8764.123046875, 2112)\n",
"nq=2\n",
" faiss classic gpu: 0.0006167737217353261 (17548.634765625, 803)\n",
" faiss cuvs gpu: 0.0005727813928632117 (17548.634765625, 954)\n",
" torch topk: 0.00023277627416403896 (17548.634765625, 2075)\n",
"nq=3\n",
" faiss classic gpu: 0.0006182788316151151 (26073.123046875, 802)\n",
" faiss cuvs gpu: 0.0006020795008179489 (26073.123046875, 785)\n",
" torch topk: 0.00023885369300842286 (26073.125, 2000)\n",
"nq=4\n",
" faiss classic gpu: 0.0006082220242755248 (37237.6171875, 808)\n",
" faiss cuvs gpu: 0.000777797001164134 (37237.6171875, 123)\n",
" torch topk: 0.00024257208792541595 (37237.6171875, 2021)\n",
"nq=5\n",
" faiss classic gpu: 0.0006117147663456284 (44552.12109375, 797)\n",
" faiss cuvs gpu: 0.0009923661902522575 (44552.12109375, 613)\n",
" torch topk: 0.000244531885208375 (44552.125, 1992)\n",
"nq=6\n",
" faiss classic gpu: 0.0006097168575526754 (53899.8828125, 811)\n",
" faiss cuvs gpu: 0.0010124825499345114 (53899.8828125, 614)\n",
" torch topk: 0.00025032257193510754 (53899.8828125, 1816)\n",
"nq=7\n",
" faiss classic gpu: 0.000627127366188245 (60392.3671875, 780)\n",
" faiss cuvs gpu: 0.0008360560123737042 (60392.3671875, 104)\n",
" torch topk: 0.0002552290683004648 (60392.36328125, 1867)\n",
"nq=8\n",
" faiss classic gpu: 0.000617202182093813 (72235.46875, 807)\n",
" faiss cuvs gpu: 0.0008220255374908447 (72235.46875, 80)\n",
" torch topk: 0.0002644743606988714 (72235.46875, 1847)\n",
"nq=9\n",
" faiss classic gpu: 0.0006146926927686037 (79208.6640625, 798)\n",
" faiss cuvs gpu: 0.0010005297366287155 (79208.6640625, 599)\n",
" torch topk: 0.0002636622511398914 (79208.6640625, 1861)\n",
"nq=10\n",
" faiss classic gpu: 0.0006246452523961494 (86080.6484375, 793)\n",
" faiss cuvs gpu: 0.0010272092467186434 (86080.6484375, 596)\n",
" torch topk: 0.00026732795146288795 (86080.6484375, 1810)\n",
"nq=11\n",
" faiss classic gpu: 0.0006224732332675707 (94974.375, 791)\n",
" faiss cuvs gpu: 0.0008353075284636423 (94974.375, 178)\n",
" torch topk: 0.0002690558267836405 (94974.3828125, 1813)\n",
"nq=12\n",
" faiss classic gpu: 0.0006279151658622585 (105964.9296875, 784)\n",
" faiss cuvs gpu: 0.0010281959501635127 (105964.9296875, 595)\n",
" torch topk: 0.00027096038814104274 (105964.9296875, 1793)\n",
"nq=13\n",
" faiss classic gpu: 0.0006258161348988348 (119898.8046875, 789)\n",
" faiss cuvs gpu: 0.001016505749152382 (119898.8046875, 586)\n",
" torch topk: 0.00028028925373766003 (119898.8125, 1745)\n",
"nq=14\n",
" faiss classic gpu: 0.0006324909532161625 (125407.75, 782)\n",
" faiss cuvs gpu: 0.0010612791982190363 (125407.75, 580)\n",
" torch topk: 0.000282709478238307 (125407.734375, 1744)\n",
"nq=15\n",
" faiss classic gpu: 0.0006388050906924442 (133152.703125, 779)\n",
" faiss cuvs gpu: 0.001221332205347268 (133152.703125, 581)\n",
" torch topk: 0.0002873053639640897 (133152.703125, 1716)\n",
"nq=16\n",
" faiss classic gpu: 0.0006364941908236272 (143652.4375, 766)\n",
" faiss cuvs gpu: 0.0008756678278853254 (143652.4375, 82)\n",
" torch topk: 0.00029572087247997723 (143652.421875, 1649)\n",
"nq=17\n",
" faiss classic gpu: 0.0006403679372730724 (155579.4375, 773)\n",
" faiss cuvs gpu: 0.0008855383080172252 (155579.4375, 83)\n",
" torch topk: 0.0002883335435735496 (155579.4375, 1693)\n",
"nq=18\n",
" faiss classic gpu: 0.0006468063523152404 (158567.234375, 769)\n",
" faiss cuvs gpu: 0.0008717714211879632 (158567.234375, 78)\n",
" torch topk: 0.000294814844733303 (158567.234375, 1648)\n",
"nq=19\n",
" faiss classic gpu: 0.0006547306276338956 (167984.578125, 761)\n",
" faiss cuvs gpu: 0.001064749651176985 (167984.578125, 559)\n",
" torch topk: 0.000311661129215371 (167984.5625, 1578)\n",
"nq=20\n",
" faiss classic gpu: 0.0006526541014248876 (179373.96875, 754)\n",
" faiss cuvs gpu: 0.0008735387556014523 (179373.96875, 124)\n",
" torch topk: 0.000314823704854734 (179373.96875, 1559)\n",
"nq=21\n",
" faiss classic gpu: 0.0006566510131755944 (187802.25, 763)\n",
" faiss cuvs gpu: 0.0010697766221889502 (187802.25, 569)\n",
" torch topk: 0.0003164349832842427 (187802.265625, 1550)\n",
"nq=22\n",
" faiss classic gpu: 0.0006484818490645767 (196886.0, 743)\n",
" faiss cuvs gpu: 0.00088425324513362 (196886.0, 52)\n",
" torch topk: 0.0003387841042861886 (196886.0, 1453)\n",
"nq=23\n",
" faiss classic gpu: 0.0006563150994131498 (205397.59375, 749)\n",
" faiss cuvs gpu: 0.0010540261724876418 (205397.59375, 533)\n",
" torch topk: 0.00034192625459257537 (205397.59375, 1430)\n",
"nq=24\n",
" faiss classic gpu: 0.0006544251190988641 (212475.9375, 760)\n",
" faiss cuvs gpu: 0.000846052991932836 (212475.9375, 116)\n",
" torch topk: 0.0003264939649809671 (212475.9375, 1499)\n",
"nq=25\n",
" faiss classic gpu: 0.0006582457031612345 (220606.65625, 758)\n",
" faiss cuvs gpu: 0.0008569659525259382 (220606.65625, 173)\n",
" torch topk: 0.0003489990409980752 (220606.671875, 1412)\n",
"nq=26\n",
" faiss classic gpu: 0.0006472252125237791 (238944.96875, 769)\n",
" faiss cuvs gpu: 0.0010490593631652622 (238944.96875, 582)\n",
" torch topk: 0.00035360065675616863 (238944.953125, 1399)\n",
"nq=27\n",
" faiss classic gpu: 0.000647196813691432 (236157.046875, 759)\n",
" faiss cuvs gpu: 0.0010569685470686653 (236157.046875, 578)\n",
" torch topk: 0.0003702143977459212 (236157.046875, 1330)\n",
"nq=28\n",
" faiss classic gpu: 0.0006525656939801121 (247528.625, 764)\n",
" faiss cuvs gpu: 0.0008559140814356057 (247528.625, 83)\n",
" torch topk: 0.000384308397769928 (247528.625, 1280)\n",
"nq=29\n",
" faiss classic gpu: 0.0006532183341116467 (264536.1875, 751)\n",
" faiss cuvs gpu: 0.0008606990178426107 (264536.1875, 90)\n",
" torch topk: 0.00038847506992400636 (264536.1875, 1260)\n",
"nq=30\n",
" faiss classic gpu: 0.0006553047233157688 (266251.375, 720)\n",
" faiss cuvs gpu: 0.001049028735765269 (266251.375, 568)\n",
" torch topk: 0.0004284473166868311 (266251.40625, 1149)\n",
"nq=31\n",
" faiss classic gpu: 0.0006514549255371094 (276898.59375, 760)\n",
" faiss cuvs gpu: 0.0010488204189113804 (276898.59375, 572)\n",
" torch topk: 0.0004256879983523155 (276898.5625, 1153)\n",
"results=array([[0.00059481, 0.00067151, 0.00021495],\n",
" [0.00061677, 0.00057278, 0.00023278],\n",
" [0.00061828, 0.00060208, 0.00023885],\n",
" [0.00060822, 0.0007778 , 0.00024257],\n",
" [0.00061171, 0.00099237, 0.00024453],\n",
" [0.00060972, 0.00101248, 0.00025032],\n",
" [0.00062713, 0.00083606, 0.00025523],\n",
" [0.0006172 , 0.00082203, 0.00026447],\n",
" [0.00061469, 0.00100053, 0.00026366],\n",
" [0.00062465, 0.00102721, 0.00026733],\n",
" [0.00062247, 0.00083531, 0.00026906],\n",
" [0.00062792, 0.0010282 , 0.00027096],\n",
" [0.00062582, 0.00101651, 0.00028029],\n",
" [0.00063249, 0.00106128, 0.00028271],\n",
" [0.00063881, 0.00122133, 0.00028731],\n",
" [0.00063649, 0.00087567, 0.00029572],\n",
" [0.00064037, 0.00088554, 0.00028833],\n",
" [0.00064681, 0.00087177, 0.00029481],\n",
" [0.00065473, 0.00106475, 0.00031166],\n",
" [0.00065265, 0.00087354, 0.00031482],\n",
" [0.00065665, 0.00106978, 0.00031643],\n",
" [0.00064848, 0.00088425, 0.00033878],\n",
" [0.00065632, 0.00105403, 0.00034193],\n",
" [0.00065443, 0.00084605, 0.00032649],\n",
" [0.00065825, 0.00085697, 0.000349 ],\n",
" [0.00064723, 0.00104906, 0.0003536 ],\n",
" [0.0006472 , 0.00105697, 0.00037021],\n",
" [0.00065257, 0.00085591, 0.00038431],\n",
" [0.00065322, 0.0008607 , 0.00038848],\n",
" [0.0006553 , 0.00104903, 0.00042845],\n",
" [0.00065145, 0.00104882, 0.00042569]])\n",
"nq=1\n",
" faiss classic gpu: 0.0003903286825831613 (128.31442260742188, 1209)\n",
" faiss cuvs gpu: 0.0005637302188452834 (128.31442260742188, 998)\n",
" torch topk: 0.0003831991007630254 (128.31442260742188, 1278)\n",
"nq=2\n",
" faiss classic gpu: 0.00039842490345505516 (281.80450439453125, 1233)\n",
" faiss cuvs gpu: 0.0005273873964514144 (281.80450439453125, 737)\n",
" torch topk: 0.0005969059036438724 (281.80450439453125, 830)\n",
"nq=3\n",
" faiss classic gpu: 0.00042049049207463465 (415.5165710449219, 1167)\n",
" faiss cuvs gpu: 0.000566127452444523 (415.5165710449219, 940)\n",
" torch topk: 0.0006010378841061784 (415.51641845703125, 823)\n",
"nq=4\n",
" faiss classic gpu: 0.00043248618895502577 (570.5137329101562, 1119)\n",
" faiss cuvs gpu: 0.0005727144224303109 (570.5137329101562, 896)\n",
" torch topk: 0.000605227378419208 (570.5137939453125, 788)\n",
"nq=5\n",
" faiss classic gpu: 0.0005022777236907589 (750.2185668945312, 988)\n",
" faiss cuvs gpu: 0.0011224340239857293 (750.2185668945312, 393)\n",
" torch topk: 0.0006089591277026427 (750.2183837890625, 814)\n",
"nq=6\n",
" faiss classic gpu: 0.0005075939133968737 (833.9569702148438, 943)\n",
" faiss cuvs gpu: 0.000892655233318886 (833.9569702148438, 89)\n",
" torch topk: 0.0006137351588447495 (833.9570922851562, 808)\n",
"nq=7\n",
" faiss classic gpu: 0.0005729042844616728 (963.369384765625, 858)\n",
" faiss cuvs gpu: 0.0009420972121389288 (963.369384765625, 95)\n",
" torch topk: 0.0006185558965973129 (963.3692016601562, 802)\n",
"nq=8\n",
" faiss classic gpu: 0.0005745230917354821 (1114.658203125, 853)\n",
" faiss cuvs gpu: 0.0009370591905381944 (1114.658203125, 90)\n",
" torch topk: 0.0006292953033639927 (1114.657958984375, 792)\n",
"nq=9\n",
" faiss classic gpu: 0.0005835728724233929 (1262.04150390625, 846)\n",
" faiss cuvs gpu: 0.000969252416065761 (1262.0416259765625, 112)\n",
" torch topk: 0.0006241137978385334 (1262.0416259765625, 787)\n",
"nq=10\n",
" faiss classic gpu: 0.0005815495246959524 (1443.5482177734375, 844)\n",
" faiss cuvs gpu: 0.0009705382333674901 (1443.548095703125, 213)\n",
" torch topk: 0.0006261786078191866 (1443.548095703125, 785)\n",
"nq=11\n",
" faiss classic gpu: 0.0006018400481955249 (1533.61376953125, 823)\n",
" faiss cuvs gpu: 0.000971568353248365 (1533.61376953125, 132)\n",
" torch topk: 0.0006334738963095428 (1533.61376953125, 782)\n",
"nq=12\n",
" faiss classic gpu: 0.0006022060825432255 (1680.46533203125, 814)\n",
" faiss cuvs gpu: 0.0010944551217812615 (1680.46533203125, 511)\n",
" torch topk: 0.0006372684087508764 (1680.46533203125, 780)\n",
"nq=13\n",
" faiss classic gpu: 0.0006030279913066346 (1785.589111328125, 810)\n",
" faiss cuvs gpu: 0.0013088869213594074 (1785.589111328125, 514)\n",
" torch topk: 0.0006395945542761727 (1785.589111328125, 763)\n",
"nq=14\n",
" faiss classic gpu: 0.0006050857101998678 (1961.1297607421875, 820)\n",
" faiss cuvs gpu: 0.0011716819503932324 (1961.1297607421875, 515)\n",
" torch topk: 0.0006409307578941444 (1961.1297607421875, 770)\n",
"nq=15\n",
" faiss classic gpu: 0.0006059130855657878 (2081.75244140625, 821)\n",
" faiss cuvs gpu: 0.0011902278394494605 (2081.75244140625, 513)\n",
" torch topk: 0.000646110943385533 (2081.75244140625, 770)\n",
"nq=16\n",
" faiss classic gpu: 0.0006063189900037154 (2222.455322265625, 824)\n",
" faiss cuvs gpu: 0.0011940616333556032 (2222.455322265625, 501)\n",
" torch topk: 0.0006566873933903124 (2222.455322265625, 756)\n",
"nq=17\n",
" faiss classic gpu: 0.0006076160850572056 (2373.329345703125, 809)\n",
" faiss cuvs gpu: 0.0011866163780864616 (2373.329345703125, 503)\n",
" torch topk: 0.0006475830204272396 (2373.329345703125, 756)\n",
"nq=18\n",
" faiss classic gpu: 0.0006086921811253019 (2492.5556640625, 799)\n",
" faiss cuvs gpu: 0.001187201603841225 (2492.5556640625, 514)\n",
" torch topk: 0.0006579246292722986 (2492.5556640625, 752)\n",
"nq=19\n",
" faiss classic gpu: 0.000610794088497373 (2623.09033203125, 813)\n",
" faiss cuvs gpu: 0.0011930465698242188 (2623.09033203125, 511)\n",
" torch topk: 0.0006724548731228559 (2623.09033203125, 731)\n",
"nq=20\n",
" faiss classic gpu: 0.0006110470994074541 (2807.583251953125, 798)\n",
" faiss cuvs gpu: 0.0011835117002835676 (2807.583251953125, 509)\n",
" torch topk: 0.000677571498172384 (2807.583251953125, 710)\n",
"nq=21\n",
" faiss classic gpu: 0.0006128742133351055 (2969.6435546875, 811)\n",
" faiss cuvs gpu: 0.0011842639393489845 (2969.6435546875, 497)\n",
" torch topk: 0.0006879108837483158 (2969.6435546875, 719)\n",
"nq=22\n",
" faiss classic gpu: 0.0006147192709101071 (3083.908203125, 795)\n",
" faiss cuvs gpu: 0.001197134086746491 (3083.908203125, 499)\n",
" torch topk: 0.0007014705636407022 (3083.908203125, 708)\n",
"nq=23\n",
" faiss classic gpu: 0.0006173015088402434 (3279.89453125, 799)\n",
" faiss cuvs gpu: 0.0012076359712528083 (3279.89453125, 499)\n",
" torch topk: 0.0007146678226952629 (3279.89453125, 689)\n",
"nq=24\n",
" faiss classic gpu: 0.0006236611751087924 (3319.5185546875, 798)\n",
" faiss cuvs gpu: 0.0012154029700942412 (3319.5185546875, 499)\n",
" torch topk: 0.0006991375012404472 (3319.5185546875, 711)\n",
"nq=25\n",
" faiss classic gpu: 0.0006209118407860658 (3431.35009765625, 802)\n",
" faiss cuvs gpu: 0.001194550877525693 (3431.35009765625, 504)\n",
" torch topk: 0.0007230041676039605 (3431.35009765625, 687)\n",
"nq=26\n",
" faiss classic gpu: 0.0006214047941710333 (3595.93017578125, 782)\n",
" faiss cuvs gpu: 0.0011977563990224706 (3595.93017578125, 505)\n",
" torch topk: 0.0007286148573957809 (3595.93017578125, 683)\n",
"nq=27\n",
" faiss classic gpu: 0.0006225190791986921 (3711.416748046875, 788)\n",
" faiss cuvs gpu: 0.0009999085316615823 (3711.416748046875, 113)\n",
" torch topk: 0.0007453691493999493 (3711.416748046875, 666)\n",
"nq=28\n",
" faiss classic gpu: 0.0006233474717068313 (3961.856201171875, 796)\n",
" faiss cuvs gpu: 0.0012151911944690604 (3961.856201171875, 497)\n",
" torch topk: 0.0007572028916357496 (3961.856201171875, 657)\n",
"nq=29\n",
" faiss classic gpu: 0.0006219861495434938 (4081.85107421875, 796)\n",
" faiss cuvs gpu: 0.001214506160805163 (4081.85107421875, 497)\n",
" torch topk: 0.0007646806754890664 (4081.85107421875, 653)\n",
"nq=30\n",
" faiss classic gpu: 0.000628727351048196 (4260.16015625, 774)\n",
" faiss cuvs gpu: 0.014052110910415649 (4260.16015625, 40)\n",
" torch topk: 0.0007999338137758506 (4260.16015625, 622)\n",
"nq=31\n",
" faiss classic gpu: 0.0006243425892942799 (4265.65478515625, 794)\n",
" faiss cuvs gpu: 0.0012108883877032198 (4265.65478515625, 494)\n",
" torch topk: 0.0008010147468836744 (4265.65478515625, 622)\n",
"results=array([[0.00039033, 0.00056373, 0.0003832 ],\n",
" [0.00039842, 0.00052739, 0.00059691],\n",
" [0.00042049, 0.00056613, 0.00060104],\n",
" [0.00043249, 0.00057271, 0.00060523],\n",
" [0.00050228, 0.00112243, 0.00060896],\n",
" [0.00050759, 0.00089266, 0.00061374],\n",
" [0.0005729 , 0.0009421 , 0.00061856],\n",
" [0.00057452, 0.00093706, 0.0006293 ],\n",
" [0.00058357, 0.00096925, 0.00062411],\n",
" [0.00058155, 0.00097054, 0.00062618],\n",
" [0.00060184, 0.00097157, 0.00063347],\n",
" [0.00060221, 0.00109446, 0.00063727],\n",
" [0.00060303, 0.00130889, 0.00063959],\n",
" [0.00060509, 0.00117168, 0.00064093],\n",
" [0.00060591, 0.00119023, 0.00064611],\n",
" [0.00060632, 0.00119406, 0.00065669],\n",
" [0.00060762, 0.00118662, 0.00064758],\n",
" [0.00060869, 0.0011872 , 0.00065792],\n",
" [0.00061079, 0.00119305, 0.00067245],\n",
" [0.00061105, 0.00118351, 0.00067757],\n",
" [0.00061287, 0.00118426, 0.00068791],\n",
" [0.00061472, 0.00119713, 0.00070147],\n",
" [0.0006173 , 0.00120764, 0.00071467],\n",
" [0.00062366, 0.0012154 , 0.00069914],\n",
" [0.00062091, 0.00119455, 0.000723 ],\n",
" [0.0006214 , 0.00119776, 0.00072861],\n",
" [0.00062252, 0.00099991, 0.00074537],\n",
" [0.00062335, 0.00121519, 0.0007572 ],\n",
" [0.00062199, 0.00121451, 0.00076468],\n",
" [0.00062873, 0.01405211, 0.00079993],\n",
" [0.00062434, 0.00121089, 0.00080101]])\n",
"nq=1\n",
" faiss classic gpu: 0.0007349184887137955 (1895.896240234375, 668)\n",
" faiss cuvs gpu: 0.0005505867004394531 (1895.896240234375, 1000)\n",
" torch topk: 0.0003916362262261799 (1895.896240234375, 1266)\n",
"nq=2\n",
" faiss classic gpu: 0.0007456735288793909 (3928.39599609375, 669)\n",
" faiss cuvs gpu: 0.000559773414757601 (3928.39599609375, 942)\n",
" torch topk: 0.0006116001996550991 (3928.39599609375, 818)\n",
"nq=3\n",
" faiss classic gpu: 0.0007894554048636709 (5697.65625, 639)\n",
" faiss cuvs gpu: 0.0005849889736529135 (5697.65625, 917)\n",
" torch topk: 0.0006110550879259098 (5697.65625, 813)\n",
"nq=4\n",
" faiss classic gpu: 0.0007625625038730259 (8016.39892578125, 654)\n",
" faiss cuvs gpu: 0.000835368344183851 (8016.39892578125, 767)\n",
" torch topk: 0.0006141591516340742 (8016.3994140625, 805)\n",
"nq=5\n",
" faiss classic gpu: 0.0008546356497139766 (9800.1494140625, 580)\n",
" faiss cuvs gpu: 0.0008801473390071763 (9800.1494140625, 109)\n",
" torch topk: 0.0006166025345096278 (9800.1484375, 801)\n",
"nq=6\n",
" faiss classic gpu: 0.0008756312685953059 (11700.048828125, 568)\n",
" faiss cuvs gpu: 0.0011205744539570604 (11700.048828125, 468)\n",
" torch topk: 0.0006242061979207562 (11700.048828125, 796)\n",
"nq=7\n",
" faiss classic gpu: 0.0008985678644946022 (13576.5068359375, 548)\n",
" faiss cuvs gpu: 0.0011556129301747969 (13576.5068359375, 496)\n",
" torch topk: 0.0006288586534219344 (13576.505859375, 788)\n",
"nq=8\n",
" faiss classic gpu: 0.0009226931711738318 (15631.1494140625, 539)\n",
" faiss cuvs gpu: 0.0011695809883646446 (15631.1494140625, 505)\n",
" torch topk: 0.0006405433224890517 (15631.1494140625, 772)\n",
"nq=9\n",
" faiss classic gpu: 0.0009275366252139072 (17527.33984375, 537)\n",
" faiss cuvs gpu: 0.0011940545374804204 (17527.33984375, 505)\n",
" torch topk: 0.0006390907421186277 (17527.33984375, 771)\n",
"nq=10\n",
" faiss classic gpu: 0.0009232238920965357 (19580.25, 529)\n",
" faiss cuvs gpu: 0.0011870984537193025 (19580.25, 502)\n",
" torch topk: 0.0006389362910359176 (19580.25, 776)\n",
"nq=11\n",
" faiss classic gpu: 0.0009588087817757692 (21538.8046875, 521)\n",
" faiss cuvs gpu: 0.001000722992085965 (21538.8046875, 107)\n",
" torch topk: 0.000642471636335055 (21538.806640625, 768)\n",
"nq=12\n",
" faiss classic gpu: 0.0009656584518462361 (23797.66015625, 513)\n",
" faiss cuvs gpu: 0.0012552732044888526 (23797.66015625, 388)\n",
" torch topk: 0.0006465019738347776 (23797.66015625, 767)\n",
"nq=13\n",
" faiss classic gpu: 0.0009677508298088522 (26069.32421875, 510)\n",
" faiss cuvs gpu: 0.0010041866773440513 (26069.32421875, 81)\n",
" torch topk: 0.0006495970197031778 (26069.32421875, 759)\n",
"nq=14\n",
" faiss classic gpu: 0.0009641444821155209 (27084.251953125, 518)\n",
" faiss cuvs gpu: 0.0010006278234076418 (27084.251953125, 287)\n",
" torch topk: 0.0006604410232381618 (27084.251953125, 752)\n",
"nq=15\n",
" faiss classic gpu: 0.0009751969255936549 (29257.13671875, 503)\n",
" faiss cuvs gpu: 0.0012490704655647277 (29257.13671875, 480)\n",
" torch topk: 0.0006653471018678398 (29257.138671875, 744)\n",
"nq=16\n",
" faiss classic gpu: 0.0009790654257526548 (31253.251953125, 508)\n",
" faiss cuvs gpu: 0.0012560212934339368 (31253.251953125, 481)\n",
" torch topk: 0.000674149186679481 (31253.25390625, 733)\n",
"nq=17\n",
" faiss classic gpu: 0.0009887527800843624 (33236.14453125, 501)\n",
" faiss cuvs gpu: 0.0012678080416740256 (33236.14453125, 470)\n",
" torch topk: 0.0006651726724007779 (33236.1484375, 739)\n",
"nq=18\n",
" faiss classic gpu: 0.00097759705793693 (35486.96875, 507)\n",
" faiss cuvs gpu: 0.0014705081947711336 (35486.96875, 476)\n",
" torch topk: 0.0006687986677971439 (35486.97265625, 621)\n",
"nq=19\n",
" faiss classic gpu: 0.000972592129426844 (36951.5234375, 510)\n",
" faiss cuvs gpu: 0.00101698026424501 (36951.5234375, 82)\n",
" torch topk: 0.0006812063984851125 (36951.5234375, 723)\n",
"nq=20\n",
" faiss classic gpu: 0.0009721095314697743 (38943.6640625, 511)\n",
" faiss cuvs gpu: 0.001014458691632306 (38943.6640625, 135)\n",
" torch topk: 0.0006912294672339002 (38943.6640625, 724)\n",
"nq=21\n",
" faiss classic gpu: 0.0009835381507873535 (41515.3671875, 500)\n",
" faiss cuvs gpu: 0.0012136026304595325 (41515.3671875, 490)\n",
" torch topk: 0.0006952561511643682 (41515.3671875, 709)\n",
"nq=22\n",
" faiss classic gpu: 0.000980886354427675 (43162.8984375, 509)\n",
" faiss cuvs gpu: 0.0012120694825143526 (43162.8984375, 495)\n",
" torch topk: 0.0007098125833247426 (43162.8984375, 701)\n",
"nq=23\n",
" faiss classic gpu: 0.0009831651868556328 (45001.375, 506)\n",
" faiss cuvs gpu: 0.0012169595180612064 (45001.375, 493)\n",
" torch topk: 0.0007256011516727203 (45001.375, 684)\n",
"nq=24\n",
" faiss classic gpu: 0.0009730081502238832 (47369.70703125, 511)\n",
" faiss cuvs gpu: 0.0010053611096040701 (47369.70703125, 81)\n",
" torch topk: 0.0007078188718141592 (47369.70703125, 691)\n",
"nq=25\n",
" faiss classic gpu: 0.000981705462037339 (49000.2421875, 506)\n",
" faiss cuvs gpu: 0.001009889270948327 (49000.2421875, 115)\n",
" torch topk: 0.0007314128847724366 (49000.24609375, 681)\n",
"nq=26\n",
" faiss classic gpu: 0.0009863915897551038 (50944.0390625, 504)\n",
" faiss cuvs gpu: 0.0012713479099791334 (50944.0390625, 479)\n",
" torch topk: 0.0007364478653776431 (50944.0390625, 668)\n",
"nq=27\n",
" faiss classic gpu: 0.0009778234588197503 (53237.3125, 502)\n",
" faiss cuvs gpu: 0.0013948140320954499 (53237.3125, 270)\n",
" torch topk: 0.0007541962307637223 (53237.3125, 658)\n",
"nq=28\n",
" faiss classic gpu: 0.0009893985424756534 (54909.2890625, 507)\n",
" faiss cuvs gpu: 0.0012503152252525411 (54909.2890625, 465)\n",
" torch topk: 0.0007649121923696462 (54909.2890625, 649)\n",
"nq=29\n",
" faiss classic gpu: 0.0009888424759819394 (56468.32421875, 504)\n",
" faiss cuvs gpu: 0.0012371245118760572 (56468.32421875, 485)\n",
" torch topk: 0.0007710434531272853 (56468.328125, 641)\n",
"nq=30\n",
" faiss classic gpu: 0.0009901363070648496 (59013.4453125, 505)\n",
" faiss cuvs gpu: 0.0010334764208112443 (59013.4453125, 84)\n",
" torch topk: 0.0008091264300876193 (59013.4453125, 612)\n",
"nq=31\n",
" faiss classic gpu: 0.0009855918884277344 (60992.6328125, 500)\n",
" faiss cuvs gpu: 0.0010336581907124099 (60992.6328125, 193)\n",
" torch topk: 0.0008131731604908499 (60992.6328125, 614)\n",
"results=array([[0.00073492, 0.00055059, 0.00039164],\n",
" [0.00074567, 0.00055977, 0.0006116 ],\n",
" [0.00078946, 0.00058499, 0.00061106],\n",
" [0.00076256, 0.00083537, 0.00061416],\n",
" [0.00085464, 0.00088015, 0.0006166 ],\n",
" [0.00087563, 0.00112057, 0.00062421],\n",
" [0.00089857, 0.00115561, 0.00062886],\n",
" [0.00092269, 0.00116958, 0.00064054],\n",
" [0.00092754, 0.00119405, 0.00063909],\n",
" [0.00092322, 0.0011871 , 0.00063894],\n",
" [0.00095881, 0.00100072, 0.00064247],\n",
" [0.00096566, 0.00125527, 0.0006465 ],\n",
" [0.00096775, 0.00100419, 0.0006496 ],\n",
" [0.00096414, 0.00100063, 0.00066044],\n",
" [0.0009752 , 0.00124907, 0.00066535],\n",
" [0.00097907, 0.00125602, 0.00067415],\n",
" [0.00098875, 0.00126781, 0.00066517],\n",
" [0.0009776 , 0.00147051, 0.0006688 ],\n",
" [0.00097259, 0.00101698, 0.00068121],\n",
" [0.00097211, 0.00101446, 0.00069123],\n",
" [0.00098354, 0.0012136 , 0.00069526],\n",
" [0.00098089, 0.00121207, 0.00070981],\n",
" [0.00098317, 0.00121696, 0.0007256 ],\n",
" [0.00097301, 0.00100536, 0.00070782],\n",
" [0.00098171, 0.00100989, 0.00073141],\n",
" [0.00098639, 0.00127135, 0.00073645],\n",
" [0.00097782, 0.00139481, 0.0007542 ],\n",
" [0.0009894 , 0.00125032, 0.00076491],\n",
" [0.00098884, 0.00123712, 0.00077104],\n",
" [0.00099014, 0.00103348, 0.00080913],\n",
" [0.00098559, 0.00103366, 0.00081317]])\n",
"nq=1\n",
" faiss classic gpu: 0.000850474121224167 (24397.7265625, 585)\n",
" faiss cuvs gpu: 0.0007432669677970579 (24397.7265625, 646)\n",
" torch topk: 0.00040594849698120933 (24397.7265625, 1196)\n",
"nq=2\n",
" faiss classic gpu: 0.0008706528579739309 (50235.4140625, 557)\n",
" faiss cuvs gpu: 0.0007431144445714816 (50235.4140625, 710)\n",
" torch topk: 0.0006243223534490829 (50235.4140625, 798)\n",
"nq=3\n",
" faiss classic gpu: 0.0009204877121462038 (76082.6875, 529)\n",
" faiss cuvs gpu: 0.0007803447307869454 (76082.6875, 661)\n",
" torch topk: 0.0006301464022272993 (76082.6796875, 782)\n",
"nq=4\n",
" faiss classic gpu: 0.0008999008466215694 (102701.875, 544)\n",
" faiss cuvs gpu: 0.001038644392049786 (102701.875, 579)\n",
" torch topk: 0.0006317970548705275 (102701.875, 783)\n",
"nq=5\n",
" faiss classic gpu: 0.0009798891404095818 (127683.5703125, 510)\n",
" faiss cuvs gpu: 0.0010859751969241023 (127683.5703125, 89)\n",
" torch topk: 0.0006345993433243189 (127683.578125, 780)\n",
"nq=6\n",
" faiss classic gpu: 0.0009991221427917481 (151820.328125, 500)\n",
" faiss cuvs gpu: 0.001316851125262628 (151820.328125, 449)\n",
" torch topk: 0.0006398288245053636 (151820.328125, 776)\n",
"nq=7\n",
" faiss classic gpu: 0.001028868696772832 (177305.40625, 487)\n",
" faiss cuvs gpu: 0.0013813389048856848 (177305.40625, 425)\n",
" torch topk: 0.0006461429099241892 (177305.40625, 768)\n",
"nq=8\n",
" faiss classic gpu: 0.0010348600558084658 (205180.25, 481)\n",
" faiss cuvs gpu: 0.0011626084645589192 (205180.265625, 48)\n",
" torch topk: 0.0006568278448191788 (205180.25, 746)\n",
"nq=9\n",
" faiss classic gpu: 0.0010534793772595994 (225768.625, 470)\n",
" faiss cuvs gpu: 0.0015344418189375873 (225768.625, 414)\n",
" torch topk: 0.0006552225067501976 (225768.625, 756)\n",
"nq=10\n",
" faiss classic gpu: 0.001070748652546761 (255285.8125, 463)\n",
" faiss cuvs gpu: 0.001221673678507847 (255285.8125, 113)\n",
" torch topk: 0.000658453069377935 (255285.8125, 747)\n",
"nq=11\n",
" faiss classic gpu: 0.0010864053453717912 (276757.4375, 455)\n",
" faiss cuvs gpu: 0.0014554611066492592 (276757.4375, 410)\n",
" torch topk: 0.0006581511630480033 (276757.4375, 753)\n",
"nq=12\n",
" faiss classic gpu: 0.001084564029518311 (301382.78125, 457)\n",
" faiss cuvs gpu: 0.0014557974848581191 (301382.78125, 402)\n",
" torch topk: 0.000664360382977654 (301382.78125, 748)\n",
"nq=13\n",
" faiss classic gpu: 0.0010933008110314084 (330323.25, 456)\n",
" faiss cuvs gpu: 0.0014623071610494619 (330323.25, 413)\n",
" torch topk: 0.0006671917179356451 (330323.25, 736)\n",
"nq=14\n",
" faiss classic gpu: 0.0010843100371184173 (356231.375, 459)\n",
" faiss cuvs gpu: 0.001468650081701446 (356231.375, 399)\n",
" torch topk: 0.0006666606472384545 (356231.375, 744)\n",
"nq=15\n",
" faiss classic gpu: 0.0010846553276612932 (377790.8125, 457)\n",
" faiss cuvs gpu: 0.0014559010030010702 (377790.8125, 407)\n",
" torch topk: 0.0006716938070140648 (377790.84375, 743)\n",
"nq=16\n",
" faiss classic gpu: 0.0011048428217569988 (407487.3125, 450)\n",
" faiss cuvs gpu: 0.0016371156230117335 (407487.3125, 198)\n",
" torch topk: 0.0006840159592119236 (407487.3125, 721)\n",
"nq=17\n",
" faiss classic gpu: 0.0010999228273119246 (429692.5, 448)\n",
" faiss cuvs gpu: 0.0012325975630018446 (429692.5, 81)\n",
" torch topk: 0.0006773787769463544 (429692.5, 732)\n",
"nq=18\n",
" faiss classic gpu: 0.001097063441852947 (458303.375, 455)\n",
" faiss cuvs gpu: 0.0015048676480849583 (458303.375, 384)\n",
" torch topk: 0.0006868203700576698 (458303.375, 724)\n",
"nq=19\n",
" faiss classic gpu: 0.0011045954152607597 (481250.875, 446)\n",
" faiss cuvs gpu: 0.0014859600635083673 (481250.875, 403)\n",
" torch topk: 0.0007001178412787658 (481250.90625, 708)\n",
"nq=20\n",
" faiss classic gpu: 0.001104469534001361 (504699.3125, 447)\n",
" faiss cuvs gpu: 0.001243464570296438 (504699.3125, 190)\n",
" torch topk: 0.0007111944703974276 (504699.3125, 702)\n",
"nq=21\n",
" faiss classic gpu: 0.0011048072695997615 (526724.25, 449)\n",
" faiss cuvs gpu: 0.0012367039083320405 (526724.25, 107)\n",
" torch topk: 0.0007235727848433896 (526724.25, 691)\n",
"nq=22\n",
" faiss classic gpu: 0.0011204339209057036 (560590.0, 420)\n",
" faiss cuvs gpu: 0.0014971129020253321 (560590.0, 401)\n",
" torch topk: 0.00072665759096383 (560589.9375, 683)\n",
"nq=23\n",
" faiss classic gpu: 0.0011107446896683182 (581140.625, 447)\n",
" faiss cuvs gpu: 0.001547733730173366 (581140.625, 374)\n",
" torch topk: 0.0007498792933123144 (581140.625, 663)\n",
"nq=24\n",
" faiss classic gpu: 0.0011158697729478347 (608986.125, 441)\n",
" faiss cuvs gpu: 0.0015279505124128877 (608986.125, 389)\n",
" torch topk: 0.0007360615666518416 (608986.125, 673)\n",
"nq=25\n",
" faiss classic gpu: 0.0011206255899951062 (631129.1875, 446)\n",
" faiss cuvs gpu: 0.001556123738513567 (631129.1875, 382)\n",
" torch topk: 0.0007564748099090856 (631129.1875, 654)\n",
"nq=26\n",
" faiss classic gpu: 0.00112065844810926 (665073.4375, 416)\n",
" faiss cuvs gpu: 0.0012970024280333787 (665073.4375, 89)\n",
" torch topk: 0.0007634474202052056 (665073.375, 651)\n",
"nq=27\n",
" faiss classic gpu: 0.0011176181166139367 (683921.125, 438)\n",
" faiss cuvs gpu: 0.0015493898342053096 (683921.125, 384)\n",
" torch topk: 0.0007821706336314284 (683921.125, 635)\n",
"nq=28\n",
" faiss classic gpu: 0.0011190571592527654 (713742.5, 446)\n",
" faiss cuvs gpu: 0.002165055274963379 (713742.5, 10)\n",
" torch topk: 0.0007814765912210174 (713742.5, 637)\n",
"nq=29\n",
" faiss classic gpu: 0.0011065095926808045 (739278.75, 452)\n",
" faiss cuvs gpu: 0.001580395954567314 (739278.75, 298)\n",
" torch topk: 0.0007892018850353829 (739278.75, 629)\n",
"nq=30\n",
" faiss classic gpu: 0.0011203515583573422 (759626.0, 442)\n",
" faiss cuvs gpu: 0.0015027662929223509 (759626.0, 392)\n",
" torch topk: 0.0008314863840738932 (759626.0, 600)\n",
"nq=31\n",
" faiss classic gpu: 0.0011100538660970966 (788816.375, 445)\n",
" faiss cuvs gpu: 0.0012610499248948209 (788816.375, 172)\n",
" torch topk: 0.000824084496141075 (788816.375, 601)\n",
"results=array([[0.00085047, 0.00074327, 0.00040595],\n",
" [0.00087065, 0.00074311, 0.00062432],\n",
" [0.00092049, 0.00078034, 0.00063015],\n",
" [0.0008999 , 0.00103864, 0.0006318 ],\n",
" [0.00097989, 0.00108598, 0.0006346 ],\n",
" [0.00099912, 0.00131685, 0.00063983],\n",
" [0.00102887, 0.00138134, 0.00064614],\n",
" [0.00103486, 0.00116261, 0.00065683],\n",
" [0.00105348, 0.00153444, 0.00065522],\n",
" [0.00107075, 0.00122167, 0.00065845],\n",
" [0.00108641, 0.00145546, 0.00065815],\n",
" [0.00108456, 0.0014558 , 0.00066436],\n",
" [0.0010933 , 0.00146231, 0.00066719],\n",
" [0.00108431, 0.00146865, 0.00066666],\n",
" [0.00108466, 0.0014559 , 0.00067169],\n",
" [0.00110484, 0.00163712, 0.00068402],\n",
" [0.00109992, 0.0012326 , 0.00067738],\n",
" [0.00109706, 0.00150487, 0.00068682],\n",
" [0.0011046 , 0.00148596, 0.00070012],\n",
" [0.00110447, 0.00124346, 0.00071119],\n",
" [0.00110481, 0.0012367 , 0.00072357],\n",
" [0.00112043, 0.00149711, 0.00072666],\n",
" [0.00111074, 0.00154773, 0.00074988],\n",
" [0.00111587, 0.00152795, 0.00073606],\n",
" [0.00112063, 0.00155612, 0.00075647],\n",
" [0.00112066, 0.001297 , 0.00076345],\n",
" [0.00111762, 0.00154939, 0.00078217],\n",
" [0.00111906, 0.00216506, 0.00078148],\n",
" [0.00110651, 0.0015804 , 0.0007892 ],\n",
" [0.00112035, 0.00150277, 0.00083149],\n",
" [0.00111005, 0.00126105, 0.00082408]])\n",
"nq=1\n",
" faiss classic gpu: 0.0008386947189174821 (50.95682144165039, 586)\n",
" faiss cuvs gpu: 0.0012012327502587598 (50.956817626953125, 501)\n",
" torch topk: 0.0005307179683018855 (50.95682144165039, 933)\n",
"nq=2\n",
" faiss classic gpu: 0.0008847836937223162 (109.9528579711914, 560)\n",
" faiss cuvs gpu: 0.0010476987521398948 (109.9528579711914, 583)\n",
" torch topk: 0.0007304707927816718 (109.95286560058594, 676)\n",
"nq=3\n",
" faiss classic gpu: 0.0010242314072129149 (159.7096405029297, 483)\n",
" faiss cuvs gpu: 0.001270177026674983 (159.70965576171875, 466)\n",
" torch topk: 0.0007428310377180844 (159.70965576171875, 669)\n",
"nq=4\n",
" faiss classic gpu: 0.0010862151345053873 (222.41748046875, 455)\n",
" faiss cuvs gpu: 0.0014057657528371318 (222.41748046875, 426)\n",
" torch topk: 0.0007653427712711287 (222.41748046875, 648)\n",
"nq=5\n",
" faiss classic gpu: 0.001098328403064183 (264.7861328125, 448)\n",
" faiss cuvs gpu: 0.001284656174685977 (264.7861328125, 109)\n",
" torch topk: 0.000822185688331479 (264.7861328125, 610)\n",
"nq=6\n",
" faiss classic gpu: 0.0011014965324919687 (322.79083251953125, 442)\n",
" faiss cuvs gpu: 0.0016955925246416512 (322.79083251953125, 354)\n",
" torch topk: 0.0008605539489904216 (322.79083251953125, 579)\n",
"nq=7\n",
" faiss classic gpu: 0.001098487229473823 (386.4663391113281, 452)\n",
" faiss cuvs gpu: 0.0017759356556869134 (386.4663391113281, 328)\n",
" torch topk: 0.0009181649319125191 (386.4663391113281, 541)\n",
"nq=8\n",
" faiss classic gpu: 0.001105107618181893 (432.8054504394531, 445)\n",
" faiss cuvs gpu: 0.0019176795834400615 (432.8054504394531, 305)\n",
" torch topk: 0.0009624428219265408 (432.8054504394531, 513)\n",
"nq=9\n",
" faiss classic gpu: 0.0011084440330350373 (472.3935241699219, 443)\n",
" faiss cuvs gpu: 0.002043276605471759 (472.3935241699219, 284)\n",
" torch topk: 0.000968284385148869 (472.3935241699219, 516)\n",
"nq=10\n",
" faiss classic gpu: 0.0011200686614082388 (549.2366943359375, 437)\n",
" faiss cuvs gpu: 0.0022408253107315456 (549.2366943359375, 195)\n",
" torch topk: 0.001067129118653662 (549.2366943359375, 463)\n",
"nq=11\n",
" faiss classic gpu: 0.001131662706128594 (636.3806762695312, 441)\n",
" faiss cuvs gpu: 0.0023863200957958517 (636.3806762695312, 208)\n",
" torch topk: 0.0011267218730346956 (636.3806762695312, 441)\n",
"nq=12\n",
" faiss classic gpu: 0.0011225556014874659 (670.0074462890625, 436)\n",
" faiss cuvs gpu: 0.0021556366735429907 (670.0074462890625, 268)\n",
" torch topk: 0.0011710631397535217 (670.0074462890625, 424)\n",
"nq=13\n",
" faiss classic gpu: 0.0011324422112826643 (698.2509765625, 435)\n",
" faiss cuvs gpu: 0.002209601695077461 (698.2509765625, 228)\n",
" torch topk: 0.0012064822938193998 (698.2509765625, 413)\n",
"nq=14\n",
" faiss classic gpu: 0.0011351892241725215 (778.5692138671875, 432)\n",
" faiss cuvs gpu: 0.001878181200348929 (778.5692138671875, 89)\n",
" torch topk: 0.0012625476982020124 (778.5692138671875, 395)\n",
"nq=15\n",
" faiss classic gpu: 0.0011485934535384456 (840.3759765625, 429)\n",
" faiss cuvs gpu: 0.0021922118736035895 (840.3759765625, 264)\n",
" torch topk: 0.001467917872741159 (840.3759765625, 339)\n",
"nq=16\n",
" faiss classic gpu: 0.0011547254961590434 (872.3822631835938, 430)\n",
" faiss cuvs gpu: 0.003300081599842418 (872.3822631835938, 11)\n",
" torch topk: 0.001628527094106205 (872.3822631835938, 305)\n",
"nq=17\n",
" faiss classic gpu: 0.0011599802635085415 (929.60693359375, 426)\n",
" faiss cuvs gpu: 0.002221818171241731 (929.60693359375, 261)\n",
" torch topk: 0.0014782469293588766 (929.60693359375, 341)\n",
"nq=18\n",
" faiss classic gpu: 0.001165986352561447 (1004.17041015625, 409)\n",
" faiss cuvs gpu: 0.002240289673494653 (1004.17041015625, 261)\n",
" torch topk: 0.0015740268326994043 (1004.17041015625, 321)\n",
"nq=19\n",
" faiss classic gpu: 0.0011704232957628039 (1026.271240234375, 414)\n",
" faiss cuvs gpu: 0.002512654078375433 (1026.271240234375, 97)\n",
" torch topk: 0.001605421681947346 (1026.271240234375, 316)\n",
"nq=20\n",
" faiss classic gpu: 0.001172938208649124 (1129.22509765625, 414)\n",
" faiss cuvs gpu: 0.002423503819633933 (1129.22509765625, 238)\n",
" torch topk: 0.0018003482545148515 (1129.22509765625, 279)\n",
"nq=21\n",
" faiss classic gpu: 0.0011828165077412676 (1193.2305908203125, 413)\n",
" faiss cuvs gpu: 0.0024522603059015354 (1193.2305908203125, 238)\n",
" torch topk: 0.0018533813780632572 (1193.2305908203125, 276)\n",
"nq=22\n",
" faiss classic gpu: 0.001179788730762623 (1256.42626953125, 405)\n",
" faiss cuvs gpu: 0.0024729816853499213 (1256.42626953125, 238)\n",
" torch topk: 0.001962614976442777 (1256.42626953125, 260)\n",
"nq=23\n",
" faiss classic gpu: 0.001188137607433872 (1276.804931640625, 407)\n",
" faiss cuvs gpu: 0.00222869146437872 (1276.804931640625, 84)\n",
" torch topk: 0.0021020282398570666 (1276.804931640625, 242)\n",
"nq=24\n",
" faiss classic gpu: 0.0011980414983645007 (1302.92626953125, 402)\n",
" faiss cuvs gpu: 0.002504081162722302 (1302.92626953125, 237)\n",
" torch topk: 0.0022596985892911928 (1302.92626953125, 226)\n",
"nq=25\n",
" faiss classic gpu: 0.001203579583179862 (1345.931884765625, 403)\n",
" faiss cuvs gpu: 0.002458556359555541 (1345.931884765625, 238)\n",
" torch topk: 0.0028906254410054643 (1345.931884765625, 173)\n",
"nq=26\n",
" faiss classic gpu: 0.0012117324791518337 (1445.3330078125, 406)\n",
" faiss cuvs gpu: 0.0024436161297710004 (1445.3330078125, 238)\n",
" torch topk: 0.0025942432346628672 (1445.3330078125, 201)\n",
"nq=27\n",
" faiss classic gpu: 0.0012154184741738402 (1458.059814453125, 405)\n",
" faiss cuvs gpu: 0.0024671443907017445 (1458.059814453125, 237)\n",
" torch topk: 0.0026953943232272534 (1458.059814453125, 188)\n",
"nq=28\n",
" faiss classic gpu: 0.0012268896866830436 (1530.5987548828125, 387)\n",
" faiss cuvs gpu: 0.002606651999733665 (1530.5987548828125, 176)\n",
" torch topk: 0.003022085001439224 (1530.5987548828125, 162)\n",
"nq=29\n",
" faiss classic gpu: 0.0012310882510267538 (1580.035400390625, 394)\n",
" faiss cuvs gpu: 0.0024523654905687863 (1580.035400390625, 238)\n",
" torch topk: 0.003359597801362108 (1580.035400390625, 149)\n",
"nq=30\n",
" faiss classic gpu: 0.001229965507085599 (1648.82861328125, 398)\n",
" faiss cuvs gpu: 0.0023505794014900354 (1648.82861328125, 157)\n",
" torch topk: 0.004223193877782577 (1648.82861328125, 117)\n",
"nq=31\n",
" faiss classic gpu: 0.0012362835994317904 (1721.935546875, 398)\n",
" faiss cuvs gpu: 0.002449661367553196 (1721.935546875, 237)\n",
" torch topk: 0.00368198226479923 (1721.935546875, 136)\n",
"results=array([[0.00083869, 0.00120123, 0.00053072],\n",
" [0.00088478, 0.0010477 , 0.00073047],\n",
" [0.00102423, 0.00127018, 0.00074283],\n",
" [0.00108622, 0.00140577, 0.00076534],\n",
" [0.00109833, 0.00128466, 0.00082219],\n",
" [0.0011015 , 0.00169559, 0.00086055],\n",
" [0.00109849, 0.00177594, 0.00091816],\n",
" [0.00110511, 0.00191768, 0.00096244],\n",
" [0.00110844, 0.00204328, 0.00096828],\n",
" [0.00112007, 0.00224083, 0.00106713],\n",
" [0.00113166, 0.00238632, 0.00112672],\n",
" [0.00112256, 0.00215564, 0.00117106],\n",
" [0.00113244, 0.0022096 , 0.00120648],\n",
" [0.00113519, 0.00187818, 0.00126255],\n",
" [0.00114859, 0.00219221, 0.00146792],\n",
" [0.00115473, 0.00330008, 0.00162853],\n",
" [0.00115998, 0.00222182, 0.00147825],\n",
" [0.00116599, 0.00224029, 0.00157403],\n",
" [0.00117042, 0.00251265, 0.00160542],\n",
" [0.00117294, 0.0024235 , 0.00180035],\n",
" [0.00118282, 0.00245226, 0.00185338],\n",
" [0.00117979, 0.00247298, 0.00196261],\n",
" [0.00118814, 0.00222869, 0.00210203],\n",
" [0.00119804, 0.00250408, 0.0022597 ],\n",
" [0.00120358, 0.00245856, 0.00289063],\n",
" [0.00121173, 0.00244362, 0.00259424],\n",
" [0.00121542, 0.00246714, 0.00269539],\n",
" [0.00122689, 0.00260665, 0.00302209],\n",
" [0.00123109, 0.00245237, 0.0033596 ],\n",
" [0.00122997, 0.00235058, 0.00422319],\n",
" [0.00123628, 0.00244966, 0.00368198]])\n",
"nq=1\n",
" faiss classic gpu: 0.00404391209941265 (762.86083984375, 121)\n",
" faiss cuvs gpu: 0.0012700817619979506 (762.8607788085938, 477)\n",
" torch topk: 0.000539743523301319 (762.86083984375, 917)\n",
"nq=2\n",
" faiss classic gpu: 0.004113800269513091 (1577.794921875, 121)\n",
" faiss cuvs gpu: 0.001083722646287877 (1577.794921875, 556)\n",
" torch topk: 0.000744220363088401 (1577.794677734375, 664)\n",
"nq=3\n",
" faiss classic gpu: 0.00432352015846654 (2255.22412109375, 114)\n",
" faiss cuvs gpu: 0.0013112214478579434 (2255.22412109375, 440)\n",
" torch topk: 0.0007527690945249616 (2255.22412109375, 660)\n",
"nq=4\n",
" faiss classic gpu: 0.004308690104568214 (3183.3134765625, 114)\n",
" faiss cuvs gpu: 0.0012071207165718079 (3183.3134765625, 32)\n",
" torch topk: 0.0007727652557136476 (3183.313720703125, 645)\n",
"nq=5\n",
" faiss classic gpu: 0.0043344121230276 (4085.66455078125, 114)\n",
" faiss cuvs gpu: 0.0015868056904185903 (4085.66455078125, 374)\n",
" torch topk: 0.0008276829049606954 (4085.664306640625, 605)\n",
"nq=6\n",
" faiss classic gpu: 0.004347292152610985 (4810.158203125, 111)\n",
" faiss cuvs gpu: 0.0017171751621157625 (4810.158203125, 344)\n",
" torch topk: 0.0008703365660550302 (4810.158203125, 570)\n",
"nq=7\n",
" faiss classic gpu: 0.004382388781657261 (5561.55322265625, 113)\n",
" faiss cuvs gpu: 0.0018271361025149545 (5561.55322265625, 319)\n",
" torch topk: 0.0009286269461683663 (5561.5537109375, 533)\n",
"nq=8\n",
" faiss classic gpu: 0.004394052284104484 (6317.6025390625, 112)\n",
" faiss cuvs gpu: 0.0016666577186113523 (6317.6025390625, 81)\n",
" torch topk: 0.0009718508283529598 (6317.6025390625, 513)\n",
"nq=9\n",
" faiss classic gpu: 0.0044701142744584515 (7058.8115234375, 110)\n",
" faiss cuvs gpu: 0.002080405358787921 (7058.8115234375, 278)\n",
" torch topk: 0.0009796534265790666 (7058.81201171875, 504)\n",
"nq=10\n",
" faiss classic gpu: 0.004465146498246627 (7762.0419921875, 110)\n",
" faiss cuvs gpu: 0.0018863320350646974 (7762.0419921875, 80)\n",
" torch topk: 0.0010689154556966498 (7762.0419921875, 463)\n",
"nq=11\n",
" faiss classic gpu: 0.004505369641365262 (8665.447265625, 109)\n",
" faiss cuvs gpu: 0.002208512247973726 (8665.447265625, 262)\n",
" torch topk: 0.0011292257092215799 (8665.447265625, 440)\n",
"nq=12\n",
" faiss classic gpu: 0.004499220848083496 (9542.775390625, 110)\n",
" faiss cuvs gpu: 0.001938510215145418 (9542.775390625, 87)\n",
" torch topk: 0.00118027560218213 (9542.775390625, 421)\n",
"nq=13\n",
" faiss classic gpu: 0.004523283905453152 (10497.2470703125, 108)\n",
" faiss cuvs gpu: 0.002211012602765898 (10497.2470703125, 261)\n",
" torch topk: 0.0012094121779838618 (10497.2470703125, 411)\n",
"nq=14\n",
" faiss classic gpu: 0.004550527643274378 (11199.0078125, 108)\n",
" faiss cuvs gpu: 0.001913306759852989 (11199.0078125, 102)\n",
" torch topk: 0.0012595045446145414 (11199.0078125, 396)\n",
"nq=15\n",
" faiss classic gpu: 0.004608574903236245 (11940.283203125, 106)\n",
" faiss cuvs gpu: 0.002250862492661532 (11940.283203125, 257)\n",
" torch topk: 0.0014719196477119198 (11940.283203125, 339)\n",
"nq=16\n",
" faiss classic gpu: 0.004608183536889418 (12606.2646484375, 106)\n",
" faiss cuvs gpu: 0.0022483734769116115 (12606.2646484375, 257)\n",
" torch topk: 0.0016192956404252486 (12606.263671875, 308)\n",
"nq=17\n",
" faiss classic gpu: 0.004606898184175845 (13512.72265625, 108)\n",
" faiss cuvs gpu: 0.0022459554148244335 (13512.72265625, 91)\n",
" torch topk: 0.0014868664318287866 (13512.72265625, 338)\n",
"nq=18\n",
" faiss classic gpu: 0.004683854488226084 (14368.818359375, 104)\n",
" faiss cuvs gpu: 0.002258014678955078 (14368.818359375, 255)\n",
" torch topk: 0.0015708022976513975 (14368.818359375, 322)\n",
"nq=19\n",
" faiss classic gpu: 0.004668063209170387 (14997.314453125, 105)\n",
" faiss cuvs gpu: 0.0023621252325714613 (14997.314453125, 244)\n",
" torch topk: 0.001605609863523453 (14997.3134765625, 315)\n",
"nq=20\n",
" faiss classic gpu: 0.004710112626735981 (15881.66796875, 104)\n",
" faiss cuvs gpu: 0.0024463288924273323 (15881.66796875, 238)\n",
" torch topk: 0.0017967334421504012 (15881.6689453125, 281)\n",
"nq=21\n",
" faiss classic gpu: 0.004770424759503707 (16398.22265625, 103)\n",
" faiss cuvs gpu: 0.0024591377515833087 (16398.22265625, 237)\n",
" torch topk: 0.001855127132722061 (16398.220703125, 274)\n",
"nq=22\n",
" faiss classic gpu: 0.004765944905800394 (17306.3671875, 101)\n",
" faiss cuvs gpu: 0.0024403121511814957 (17306.3671875, 236)\n",
" torch topk: 0.0019731512293219566 (17306.3671875, 256)\n",
"nq=23\n",
" faiss classic gpu: 0.004808222893441077 (18062.78515625, 101)\n",
" faiss cuvs gpu: 0.0021228280560723666 (18062.78515625, 145)\n",
" torch topk: 0.0021053016185760497 (18062.78515625, 240)\n",
"nq=24\n",
" faiss classic gpu: 0.004821652233010471 (19523.357421875, 101)\n",
" faiss cuvs gpu: 0.002425504636160935 (19523.357421875, 237)\n",
" torch topk: 0.0022399047397831987 (19523.357421875, 227)\n",
"nq=25\n",
" faiss classic gpu: 0.004855923133321328 (20512.34765625, 101)\n",
" faiss cuvs gpu: 0.0023845201585350967 (20512.34765625, 82)\n",
" torch topk: 0.0029188938912628705 (20512.349609375, 173)\n",
"nq=26\n",
" faiss classic gpu: 0.00487717866897583 (20647.82421875, 100)\n",
" faiss cuvs gpu: 0.0024703165232124974 (20647.82421875, 236)\n",
" torch topk: 0.002599101754563365 (20647.822265625, 201)\n",
"nq=27\n",
" faiss classic gpu: 0.004911870667428681 (21257.16015625, 99)\n",
" faiss cuvs gpu: 0.002458492914835612 (21257.16015625, 237)\n",
" torch topk: 0.002687459323495467 (21257.16015625, 187)\n",
"nq=28\n",
" faiss classic gpu: 0.00490568382571442 (22233.904296875, 99)\n",
" faiss cuvs gpu: 0.0025147265019799083 (22233.904296875, 237)\n",
" torch topk: 0.002969910881736062 (22233.90625, 165)\n",
"nq=29\n",
" faiss classic gpu: 0.00492066325563373 (22753.71484375, 99)\n",
" faiss cuvs gpu: 0.002631674335978705 (22753.71484375, 237)\n",
" torch topk: 0.003336212119540653 (22753.71484375, 148)\n",
"nq=30\n",
" faiss classic gpu: 0.004922091358839863 (23275.6796875, 99)\n",
" faiss cuvs gpu: 0.0024542386018777196 (23275.6796875, 237)\n",
" torch topk: 0.0039939157298353855 (23275.6796875, 122)\n",
"nq=31\n",
" faiss classic gpu: 0.004947853088378906 (24422.9765625, 100)\n",
" faiss cuvs gpu: 0.002571815668150436 (24422.9765625, 86)\n",
" torch topk: 0.0036526099959416176 (24422.9765625, 134)\n",
"results=array([[0.00404391, 0.00127008, 0.00053974],\n",
" [0.0041138 , 0.00108372, 0.00074422],\n",
" [0.00432352, 0.00131122, 0.00075277],\n",
" [0.00430869, 0.00120712, 0.00077277],\n",
" [0.00433441, 0.00158681, 0.00082768],\n",
" [0.00434729, 0.00171718, 0.00087034],\n",
" [0.00438239, 0.00182714, 0.00092863],\n",
" [0.00439405, 0.00166666, 0.00097185],\n",
" [0.00447011, 0.00208041, 0.00097965],\n",
" [0.00446515, 0.00188633, 0.00106892],\n",
" [0.00450537, 0.00220851, 0.00112923],\n",
" [0.00449922, 0.00193851, 0.00118028],\n",
" [0.00452328, 0.00221101, 0.00120941],\n",
" [0.00455053, 0.00191331, 0.0012595 ],\n",
" [0.00460857, 0.00225086, 0.00147192],\n",
" [0.00460818, 0.00224837, 0.0016193 ],\n",
" [0.0046069 , 0.00224596, 0.00148687],\n",
" [0.00468385, 0.00225801, 0.0015708 ],\n",
" [0.00466806, 0.00236213, 0.00160561],\n",
" [0.00471011, 0.00244633, 0.00179673],\n",
" [0.00477042, 0.00245914, 0.00185513],\n",
" [0.00476594, 0.00244031, 0.00197315],\n",
" [0.00480822, 0.00212283, 0.0021053 ],\n",
" [0.00482165, 0.0024255 , 0.0022399 ],\n",
" [0.00485592, 0.00238452, 0.00291889],\n",
" [0.00487718, 0.00247032, 0.0025991 ],\n",
" [0.00491187, 0.00245849, 0.00268746],\n",
" [0.00490568, 0.00251473, 0.00296991],\n",
" [0.00492066, 0.00263167, 0.00333621],\n",
" [0.00492209, 0.00245424, 0.00399392],\n",
" [0.00494785, 0.00257182, 0.00365261]])\n",
"nq=1\n",
" faiss classic gpu: 0.004696790988628681 (12874.7265625, 104)\n",
" faiss cuvs gpu: 0.0017673198550129225 (12874.7275390625, 331)\n",
" torch topk: 0.0005593965915345004 (12874.7265625, 877)\n",
"nq=2\n",
" faiss classic gpu: 0.004792461028465858 (22166.234375, 104)\n",
" faiss cuvs gpu: 0.0012814487729753768 (22166.234375, 84)\n",
" torch topk: 0.0007587775019288973 (22166.234375, 655)\n",
"nq=3\n",
" faiss classic gpu: 0.004960403442382812 (33188.0234375, 100)\n",
" faiss cuvs gpu: 0.0017314205567042034 (33188.0234375, 336)\n",
" torch topk: 0.0007685962090125451 (33188.0234375, 650)\n",
"nq=4\n",
" faiss classic gpu: 0.004996405707465278 (39723.16015625, 99)\n",
" faiss cuvs gpu: 0.0018298738055094656 (39723.16015625, 319)\n",
" torch topk: 0.000792170935480697 (39723.15625, 629)\n",
"nq=5\n",
" faiss classic gpu: 0.0050352920185435905 (52652.953125, 99)\n",
" faiss cuvs gpu: 0.0019695493015083106 (52652.953125, 296)\n",
" torch topk: 0.0008385590144566127 (52652.94921875, 595)\n",
"nq=6\n",
" faiss classic gpu: 0.005031721932547433 (63223.9765625, 98)\n",
" faiss cuvs gpu: 0.0021067287610924764 (63223.9765625, 276)\n",
" torch topk: 0.0008856329629429719 (63223.9765625, 562)\n",
"nq=7\n",
" faiss classic gpu: 0.005041719687105429 (74208.21875, 99)\n",
" faiss cuvs gpu: 0.002244003951319396 (74208.21875, 259)\n",
" torch topk: 0.0009518825646602746 (74208.2109375, 528)\n",
"nq=8\n",
" faiss classic gpu: 0.005097554654491191 (84165.0390625, 98)\n",
" faiss cuvs gpu: 0.002065285514382755 (84165.0390625, 85)\n",
" torch topk: 0.000986717523090423 (84165.0390625, 504)\n",
"nq=9\n",
" faiss classic gpu: 0.0051287621566929766 (95789.1171875, 97)\n",
" faiss cuvs gpu: 0.00252865397411844 (95789.1171875, 230)\n",
" torch topk: 0.0009927117967035667 (95789.1171875, 502)\n",
"nq=10\n",
" faiss classic gpu: 0.005147329129670796 (108547.6328125, 95)\n",
" faiss cuvs gpu: 0.002610309610089052 (108547.6328125, 206)\n",
" torch topk: 0.0010933580605880075 (108547.6328125, 460)\n",
"nq=11\n",
" faiss classic gpu: 0.0051730771859486895 (119646.421875, 96)\n",
" faiss cuvs gpu: 0.0022581912375785208 (119646.421875, 37)\n",
" torch topk: 0.0011574455270185156 (119646.421875, 426)\n",
"nq=12\n",
" faiss classic gpu: 0.005158250530560811 (124827.7421875, 96)\n",
" faiss cuvs gpu: 0.0027221414052188125 (124827.7421875, 219)\n",
" torch topk: 0.0012058042785496389 (124827.7421875, 412)\n",
"nq=13\n",
" faiss classic gpu: 0.005170839528242747 (142563.21875, 96)\n",
" faiss cuvs gpu: 0.00232468983706306 (142563.21875, 136)\n",
" torch topk: 0.0012268164819815822 (142563.203125, 407)\n",
"nq=14\n",
" faiss classic gpu: 0.005218921823704497 (152701.25, 94)\n",
" faiss cuvs gpu: 0.0026299754778544107 (152701.25, 216)\n",
" torch topk: 0.0012820629494442804 (152701.25, 387)\n",
"nq=15\n",
" faiss classic gpu: 0.005279915307157783 (158296.96875, 93)\n",
" faiss cuvs gpu: 0.0026356346077389186 (158296.96875, 216)\n",
" torch topk: 0.001489362455791253 (158296.96875, 329)\n",
"nq=16\n",
" faiss classic gpu: 0.005297883864372007 (175517.9375, 93)\n",
" faiss cuvs gpu: 0.002666551013325536 (175517.9375, 215)\n",
" torch topk: 0.001649370287904645 (175517.9375, 303)\n",
"nq=17\n",
" faiss classic gpu: 0.0053031698186346826 (185611.65625, 94)\n",
" faiss cuvs gpu: 0.0024918676858924956 (185611.65625, 83)\n",
" torch topk: 0.001508005388506182 (185611.65625, 333)\n",
"nq=18\n",
" faiss classic gpu: 0.005342988864235256 (193009.1875, 92)\n",
" faiss cuvs gpu: 0.002346960703531901 (193009.1875, 90)\n",
" torch topk: 0.0015912853204865561 (193009.1875, 317)\n",
"nq=19\n",
" faiss classic gpu: 0.005349214260394757 (203401.9375, 91)\n",
" faiss cuvs gpu: 0.002371072769165039 (203401.9375, 110)\n",
" torch topk: 0.001611914390172714 (203401.921875, 312)\n",
"nq=20\n",
" faiss classic gpu: 0.005381041830712622 (212388.40625, 91)\n",
" faiss cuvs gpu: 0.002730361582559832 (212388.40625, 209)\n",
" torch topk: 0.001794585190366246 (212388.40625, 279)\n",
"nq=21\n",
" faiss classic gpu: 0.00541081795325646 (228107.453125, 91)\n",
" faiss cuvs gpu: 0.0028065249250440174 (228107.453125, 203)\n",
" torch topk: 0.0018356001334069868 (228107.4375, 277)\n",
"nq=22\n",
" faiss classic gpu: 0.005409966574774848 (239863.8125, 90)\n",
" faiss cuvs gpu: 0.00276769416919653 (239863.8125, 207)\n",
" torch topk: 0.001985580082467422 (239863.8125, 253)\n",
"nq=23\n",
" faiss classic gpu: 0.005417283376057943 (248311.46875, 90)\n",
" faiss cuvs gpu: 0.0027679832661209477 (248311.46875, 207)\n",
" torch topk: 0.00211299459139506 (248311.46875, 240)\n",
"nq=24\n",
" faiss classic gpu: 0.005453157960698845 (254997.75, 89)\n",
" faiss cuvs gpu: 0.002497352755632523 (254997.75, 233)\n",
" torch topk: 0.0022506386832853334 (254997.765625, 226)\n",
"nq=25\n",
" faiss classic gpu: 0.0054829468887843446 (264923.71875, 89)\n",
" faiss cuvs gpu: 0.0025624837824907254 (264923.71875, 189)\n",
" torch topk: 0.002925569611477714 (264923.71875, 173)\n",
"nq=26\n",
" faiss classic gpu: 0.005518348029490267 (276838.625, 89)\n",
" faiss cuvs gpu: 0.00214844177930783 (276838.625, 78)\n",
" torch topk: 0.002588825225830078 (276838.59375, 200)\n",
"nq=27\n",
" faiss classic gpu: 0.005553968928077004 (283670.9375, 88)\n",
" faiss cuvs gpu: 0.00251111285439853 (283670.9375, 232)\n",
" torch topk: 0.002704198642443585 (283670.9375, 186)\n",
"nq=28\n",
" faiss classic gpu: 0.005559984294847511 (297401.125, 87)\n",
" faiss cuvs gpu: 0.0024749492776804955 (297401.125, 232)\n",
" torch topk: 0.0029529497295082687 (297401.125, 167)\n",
"nq=29\n",
" faiss classic gpu: 0.005593387559912671 (309448.5625, 87)\n",
" faiss cuvs gpu: 0.0024659798063080885 (309448.5625, 232)\n",
" torch topk: 0.003381970810563597 (309448.5625, 146)\n",
"nq=30\n",
" faiss classic gpu: 0.0056069691975911455 (323465.6875, 87)\n",
" faiss cuvs gpu: 0.03232434060838488 (323465.6875, 18)\n",
" torch topk: 0.004014977541836826 (323465.6875, 110)\n",
"nq=31\n",
" faiss classic gpu: 0.005613925782116977 (336482.125, 88)\n",
" faiss cuvs gpu: 0.0025525646111399856 (336482.125, 194)\n",
" torch topk: 0.003734746962103225 (336482.09375, 131)\n",
"results=array([[0.00469679, 0.00176732, 0.0005594 ],\n",
" [0.00479246, 0.00128145, 0.00075878],\n",
" [0.0049604 , 0.00173142, 0.0007686 ],\n",
" [0.00499641, 0.00182987, 0.00079217],\n",
" [0.00503529, 0.00196955, 0.00083856],\n",
" [0.00503172, 0.00210673, 0.00088563],\n",
" [0.00504172, 0.002244 , 0.00095188],\n",
" [0.00509755, 0.00206529, 0.00098672],\n",
" [0.00512876, 0.00252865, 0.00099271],\n",
" [0.00514733, 0.00261031, 0.00109336],\n",
" [0.00517308, 0.00225819, 0.00115745],\n",
" [0.00515825, 0.00272214, 0.0012058 ],\n",
" [0.00517084, 0.00232469, 0.00122682],\n",
" [0.00521892, 0.00262998, 0.00128206],\n",
" [0.00527992, 0.00263563, 0.00148936],\n",
" [0.00529788, 0.00266655, 0.00164937],\n",
" [0.00530317, 0.00249187, 0.00150801],\n",
" [0.00534299, 0.00234696, 0.00159129],\n",
" [0.00534921, 0.00237107, 0.00161191],\n",
" [0.00538104, 0.00273036, 0.00179459],\n",
" [0.00541082, 0.00280652, 0.0018356 ],\n",
" [0.00540997, 0.00276769, 0.00198558],\n",
" [0.00541728, 0.00276798, 0.00211299],\n",
" [0.00545316, 0.00249735, 0.00225064],\n",
" [0.00548295, 0.00256248, 0.00292557],\n",
" [0.00551835, 0.00214844, 0.00258883],\n",
" [0.00555397, 0.00251111, 0.0027042 ],\n",
" [0.00555998, 0.00247495, 0.00295295],\n",
" [0.00559339, 0.00246598, 0.00338197],\n",
" [0.00560697, 0.03232434, 0.00401498],\n",
" [0.00561393, 0.00255256, 0.00373475]])\n",
"nq=1\n",
" faiss classic gpu: 0.0030183096109710123 (155.3612823486328, 161)\n",
" faiss cuvs gpu: 0.0033686541946682 (155.36126708984375, 169)\n",
" torch topk: 0.0026309111761668373 (155.36126708984375, 189)\n",
"nq=2\n",
" faiss classic gpu: 0.003091366394706394 (316.2158203125, 161)\n",
" faiss cuvs gpu: 0.0030322662298230157 (316.2158203125, 69)\n",
" torch topk: 0.004304444789886475 (316.21575927734375, 120)\n",
"nq=3\n",
" faiss classic gpu: 0.003250584697091816 (466.97528076171875, 151)\n",
" faiss cuvs gpu: 0.0036911502961189517 (466.97528076171875, 155)\n",
" torch topk: 0.004334496636675973 (466.97528076171875, 117)\n",
"nq=4\n",
" faiss classic gpu: 0.0032454207052592357 (593.5467529296875, 153)\n",
" faiss cuvs gpu: 0.0033305161435839155 (593.5467529296875, 71)\n",
" torch topk: 0.004361183478914458 (593.54638671875, 116)\n",
"nq=5\n",
" faiss classic gpu: 0.004075503546344348 (774.1527099609375, 121)\n",
" faiss cuvs gpu: 0.00475452891711531 (774.1527099609375, 116)\n",
" torch topk: 0.004421416572902514 (774.1527099609375, 115)\n",
"nq=6\n",
" faiss classic gpu: 0.00418028184923075 (945.4779052734375, 118)\n",
" faiss cuvs gpu: 0.005159423157975481 (945.4779052734375, 111)\n",
" torch topk: 0.004477815290467929 (945.47802734375, 113)\n",
"nq=7\n",
" faiss classic gpu: 0.004709666115897042 (1072.3438720703125, 105)\n",
" faiss cuvs gpu: 0.005240133830479213 (1072.34375, 70)\n",
" torch topk: 0.004564423646245684 (1072.34375, 112)\n",
"nq=8\n",
" faiss classic gpu: 0.004758156262911283 (1256.90283203125, 104)\n",
" faiss cuvs gpu: 0.005145389383489436 (1256.90283203125, 55)\n",
" torch topk: 0.004598294604908336 (1256.90283203125, 110)\n",
"nq=9\n",
" faiss classic gpu: 0.004806194490599401 (1422.7078857421875, 103)\n",
" faiss cuvs gpu: 0.00575752760234632 (1422.707763671875, 95)\n",
" torch topk: 0.004627975550564853 (1422.707763671875, 110)\n",
"nq=10\n",
" faiss classic gpu: 0.004840831945438196 (1561.860595703125, 101)\n",
" faiss cuvs gpu: 0.005976882032168809 (1561.8604736328125, 93)\n",
" torch topk: 0.0047270964693140105 (1561.8604736328125, 108)\n",
"nq=11\n",
" faiss classic gpu: 0.004848083647170869 (1740.072509765625, 101)\n",
" faiss cuvs gpu: 0.006055721094910527 (1740.072265625, 71)\n",
" torch topk: 0.00479357197599591 (1740.072265625, 106)\n",
"nq=12\n",
" faiss classic gpu: 0.004842213555878284 (1883.27685546875, 102)\n",
" faiss cuvs gpu: 0.0058223329564576504 (1883.27685546875, 93)\n",
" torch topk: 0.004867961773505578 (1883.27685546875, 104)\n",
"nq=13\n",
" faiss classic gpu: 0.0048712857879034364 (2028.5732421875, 101)\n",
" faiss cuvs gpu: 0.005876520405644956 (2028.573486328125, 92)\n",
" torch topk: 0.0049157280188340405 (2028.573486328125, 104)\n",
"nq=14\n",
" faiss classic gpu: 0.004883178389898621 (2245.642578125, 101)\n",
" faiss cuvs gpu: 0.005356524671827044 (2245.64208984375, 56)\n",
" torch topk: 0.004975339945624857 (2245.64208984375, 102)\n",
"nq=15\n",
" faiss classic gpu: 0.0049019670486450196 (2299.2314453125, 100)\n",
" faiss cuvs gpu: 0.005348467057751071 (2299.23193359375, 31)\n",
" torch topk: 0.005165827517606774 (2299.23193359375, 98)\n",
"nq=16\n",
" faiss classic gpu: 0.004920699596405029 (2478.08740234375, 100)\n",
" faiss cuvs gpu: 0.005946473760919256 (2478.087646484375, 91)\n",
" torch topk: 0.005333155079891807 (2478.087646484375, 95)\n",
"nq=17\n",
" faiss classic gpu: 0.00486144832536286 (2655.69091796875, 102)\n",
" faiss cuvs gpu: 0.00599340816120525 (2655.69091796875, 91)\n",
" torch topk: 0.005256193200337518 (2655.69091796875, 97)\n",
"nq=18\n",
" faiss classic gpu: 0.004883733126196531 (2782.451171875, 101)\n",
" faiss cuvs gpu: 0.006088236103887143 (2782.451171875, 69)\n",
" torch topk: 0.005322832422158153 (2782.451171875, 97)\n",
"nq=19\n",
" faiss classic gpu: 0.004917852949387957 (2930.59326171875, 101)\n",
" faiss cuvs gpu: 0.0059993373023139104 (2930.59326171875, 90)\n",
" torch topk: 0.005367324707355905 (2930.59326171875, 94)\n",
"nq=20\n",
" faiss classic gpu: 0.004919993877410889 (3124.65478515625, 100)\n",
" faiss cuvs gpu: 0.006104098425971137 (3124.65478515625, 90)\n",
" torch topk: 0.005612248844570584 (3124.65478515625, 90)\n",
"nq=21\n",
" faiss classic gpu: 0.004987707138061523 (3265.82470703125, 100)\n",
" faiss cuvs gpu: 0.006217644248210209 (3265.82470703125, 71)\n",
" torch topk: 0.0056684626473320855 (3265.82470703125, 90)\n",
"nq=22\n",
" faiss classic gpu: 0.0049949992786754265 (3452.605224609375, 99)\n",
" faiss cuvs gpu: 0.006037270085195477 (3452.605224609375, 89)\n",
" torch topk: 0.005796358503144363 (3452.605224609375, 87)\n",
"nq=23\n",
" faiss classic gpu: 0.004997725486755371 (3600.206787109375, 100)\n",
" faiss cuvs gpu: 0.00631603327664462 (3600.206787109375, 88)\n",
" torch topk: 0.005965106627520393 (3600.206787109375, 85)\n",
"nq=24\n",
" faiss classic gpu: 0.005003192208030007 (3706.013671875, 99)\n",
" faiss cuvs gpu: 0.0061420778210243485 (3706.013671875, 89)\n",
" torch topk: 0.006120339933648167 (3706.013671875, 83)\n",
"nq=25\n",
" faiss classic gpu: 0.005014470645359584 (3922.915283203125, 98)\n",
" faiss cuvs gpu: 0.006450923283894857 (3922.915283203125, 75)\n",
" torch topk: 0.006772173417581094 (3922.915283203125, 74)\n",
"nq=26\n",
" faiss classic gpu: 0.0050237345695495605 (4186.61083984375, 100)\n",
" faiss cuvs gpu: 0.00562313750938133 (4186.61083984375, 54)\n",
" torch topk: 0.006525813759147347 (4186.61083984375, 77)\n",
"nq=27\n",
" faiss classic gpu: 0.0050464784256135575 (4222.7333984375, 99)\n",
" faiss cuvs gpu: 0.006223621039554991 (4222.7333984375, 87)\n",
" torch topk: 0.006558754505255284 (4222.7333984375, 78)\n",
"nq=28\n",
" faiss classic gpu: 0.005043891011452188 (4399.1669921875, 98)\n",
" faiss cuvs gpu: 0.006213749962291498 (4399.1669921875, 87)\n",
" torch topk: 0.006806015968322754 (4399.1669921875, 74)\n",
"nq=29\n",
" faiss classic gpu: 0.005061823912341185 (4547.533203125, 99)\n",
" faiss cuvs gpu: 0.006540520437832536 (4547.533203125, 87)\n",
" torch topk: 0.007134631701878139 (4547.533203125, 70)\n",
"nq=30\n",
" faiss classic gpu: 0.005076826835165219 (4644.4912109375, 98)\n",
" faiss cuvs gpu: 0.006257997162040623 (4644.4912109375, 87)\n",
" torch topk: 0.007992102253821588 (4644.4912109375, 62)\n",
"nq=31\n",
" faiss classic gpu: 0.005093382329356914 (4824.4736328125, 98)\n",
" faiss cuvs gpu: 0.006494614985082057 (4824.4736328125, 77)\n",
" torch topk: 0.00737302443560432 (4824.4736328125, 68)\n",
"results=array([[0.00301831, 0.00336865, 0.00263091],\n",
" [0.00309137, 0.00303227, 0.00430444],\n",
" [0.00325058, 0.00369115, 0.0043345 ],\n",
" [0.00324542, 0.00333052, 0.00436118],\n",
" [0.0040755 , 0.00475453, 0.00442142],\n",
" [0.00418028, 0.00515942, 0.00447782],\n",
" [0.00470967, 0.00524013, 0.00456442],\n",
" [0.00475816, 0.00514539, 0.00459829],\n",
" [0.00480619, 0.00575753, 0.00462798],\n",
" [0.00484083, 0.00597688, 0.0047271 ],\n",
" [0.00484808, 0.00605572, 0.00479357],\n",
" [0.00484221, 0.00582233, 0.00486796],\n",
" [0.00487129, 0.00587652, 0.00491573],\n",
" [0.00488318, 0.00535652, 0.00497534],\n",
" [0.00490197, 0.00534847, 0.00516583],\n",
" [0.0049207 , 0.00594647, 0.00533316],\n",
" [0.00486145, 0.00599341, 0.00525619],\n",
" [0.00488373, 0.00608824, 0.00532283],\n",
" [0.00491785, 0.00599934, 0.00536732],\n",
" [0.00491999, 0.0061041 , 0.00561225],\n",
" [0.00498771, 0.00621764, 0.00566846],\n",
" [0.004995 , 0.00603727, 0.00579636],\n",
" [0.00499773, 0.00631603, 0.00596511],\n",
" [0.00500319, 0.00614208, 0.00612034],\n",
" [0.00501447, 0.00645092, 0.00677217],\n",
" [0.00502373, 0.00562314, 0.00652581],\n",
" [0.00504648, 0.00622362, 0.00655875],\n",
" [0.00504389, 0.00621375, 0.00680602],\n",
" [0.00506182, 0.00654052, 0.00713463],\n",
" [0.00507683, 0.006258 , 0.0079921 ],\n",
" [0.00509338, 0.00649461, 0.00737302]])\n",
"nq=1\n",
" faiss classic gpu: 0.006416879202190198 (2269.64794921875, 76)\n",
" faiss cuvs gpu: 0.0029849057294884505 (2269.64794921875, 98)\n",
" torch topk: 0.002641396547751452 (2269.64794921875, 189)\n",
"nq=2\n",
" faiss classic gpu: 0.006576999028523763 (4609.4345703125, 75)\n",
" faiss cuvs gpu: 0.0034737718617257897 (4609.4345703125, 163)\n",
" torch topk: 0.0043242553869883215 (4609.43505859375, 120)\n",
"nq=3\n",
" faiss classic gpu: 0.0067232151826222735 (6696.341796875, 72)\n",
" faiss cuvs gpu: 0.003724040129245856 (6696.341796875, 78)\n",
" torch topk: 0.0043445948896736935 (6696.3427734375, 116)\n",
"nq=4\n",
" faiss classic gpu: 0.006695995728174846 (8928.509765625, 72)\n",
" faiss cuvs gpu: 0.0038537287530098253 (8928.509765625, 131)\n",
" torch topk: 0.004371317573215651 (8928.5087890625, 115)\n",
"nq=5\n",
" faiss classic gpu: 0.007534621312068059 (11129.376953125, 65)\n",
" faiss cuvs gpu: 0.004781712833632771 (11129.376953125, 117)\n",
" torch topk: 0.004436231696087381 (11129.3779296875, 115)\n",
"nq=6\n",
" faiss classic gpu: 0.007584534585475922 (13168.486328125, 64)\n",
" faiss cuvs gpu: 0.004794205291361748 (13168.486328125, 79)\n",
" torch topk: 0.004507853273759808 (13168.486328125, 114)\n",
"nq=7\n",
" faiss classic gpu: 0.008066705862681071 (15637.81640625, 60)\n",
" faiss cuvs gpu: 0.005612341725096411 (15637.814453125, 98)\n",
" torch topk: 0.004563638755867073 (15637.814453125, 111)\n",
"nq=8\n",
" faiss classic gpu: 0.008123584588368734 (17670.51953125, 60)\n",
" faiss cuvs gpu: 0.0056222197935753265 (17670.51953125, 97)\n",
" torch topk: 0.004634984042666374 (17670.51953125, 109)\n",
"nq=9\n",
" faiss classic gpu: 0.008144275347391764 (20362.5546875, 60)\n",
" faiss cuvs gpu: 0.005617355954819831 (20362.552734375, 69)\n",
" torch topk: 0.004629751583477398 (20362.552734375, 111)\n",
"nq=10\n",
" faiss classic gpu: 0.00817636251449585 (22205.095703125, 60)\n",
" faiss cuvs gpu: 0.005698973132717994 (22205.095703125, 62)\n",
" torch topk: 0.0047473305853727825 (22205.09375, 107)\n",
"nq=11\n",
" faiss classic gpu: 0.008172665612172272 (24329.6875, 59)\n",
" faiss cuvs gpu: 0.005843680392029465 (24329.6875, 93)\n",
" torch topk: 0.0048137369610014415 (24329.6875, 105)\n",
"nq=12\n",
" faiss classic gpu: 0.008247666439767612 (26562.50390625, 59)\n",
" faiss cuvs gpu: 0.0059117877876365575 (26562.5078125, 91)\n",
" torch topk: 0.0048696513359363265 (26562.505859375, 104)\n",
"nq=13\n",
" faiss classic gpu: 0.008229166774426476 (29118.701171875, 59)\n",
" faiss cuvs gpu: 0.006105704974102718 (29118.701171875, 93)\n",
" torch topk: 0.004914487449868212 (29118.701171875, 103)\n",
"nq=14\n",
" faiss classic gpu: 0.008267160189353813 (31123.7109375, 59)\n",
" faiss cuvs gpu: 0.005965725235317064 (31123.7109375, 92)\n",
" torch topk: 0.005008514645030197 (31123.7109375, 103)\n",
"nq=15\n",
" faiss classic gpu: 0.008271617404485152 (33364.1171875, 59)\n",
" faiss cuvs gpu: 0.005785953614019578 (33364.1171875, 62)\n",
" torch topk: 0.005185808454241071 (33364.1171875, 98)\n",
"nq=16\n",
" faiss classic gpu: 0.008306597841197047 (35569.578125, 58)\n",
" faiss cuvs gpu: 0.006109652311905571 (35569.578125, 92)\n",
" torch topk: 0.005353351856799836 (35569.58203125, 94)\n",
"nq=17\n",
" faiss classic gpu: 0.008280184309361345 (37949.015625, 59)\n",
" faiss cuvs gpu: 0.006027105308714367 (37949.015625, 84)\n",
" torch topk: 0.005242497650618406 (37949.01171875, 97)\n",
"nq=18\n",
" faiss classic gpu: 0.00830786392606538 (40043.5234375, 58)\n",
" faiss cuvs gpu: 0.006189652851649693 (40043.5234375, 91)\n",
" torch topk: 0.0053246673784757914 (40043.5234375, 95)\n",
"nq=19\n",
" faiss classic gpu: 0.008328182943936053 (42079.79296875, 58)\n",
" faiss cuvs gpu: 0.006013416981959081 (42079.79296875, 91)\n",
" torch topk: 0.005364552457281884 (42079.79296875, 94)\n",
"nq=20\n",
" faiss classic gpu: 0.008376586026158827 (43878.0703125, 58)\n",
" faiss cuvs gpu: 0.006394574377271864 (43878.0703125, 90)\n",
" torch topk: 0.005565090493841486 (43878.0703125, 91)\n",
"nq=21\n",
" faiss classic gpu: 0.008368479794469374 (47348.06640625, 58)\n",
" faiss cuvs gpu: 0.006274379624260797 (47348.06640625, 90)\n",
" torch topk: 0.005664139323764377 (47348.0703125, 90)\n",
"nq=22\n",
" faiss classic gpu: 0.008425971917938768 (49043.171875, 57)\n",
" faiss cuvs gpu: 0.006085154715548741 (49043.171875, 89)\n",
" torch topk: 0.005812564561533374 (49043.171875, 86)\n",
"nq=23\n",
" faiss classic gpu: 0.008397520634165982 (51672.359375, 57)\n",
" faiss cuvs gpu: 0.0064260069529215496 (51672.359375, 75)\n",
" torch topk: 0.005965088689050009 (51672.359375, 86)\n",
"nq=24\n",
" faiss classic gpu: 0.008428244755185884 (53469.734375, 58)\n",
" faiss cuvs gpu: 0.00587014494271114 (53469.734375, 58)\n",
" torch topk: 0.006114753281197897 (53469.734375, 82)\n",
"nq=25\n",
" faiss classic gpu: 0.00844520535962335 (55789.234375, 58)\n",
" faiss cuvs gpu: 0.00639282844283364 (55789.234375, 88)\n",
" torch topk: 0.006786530082290237 (55789.234375, 74)\n",
"nq=26\n",
" faiss classic gpu: 0.008460706677930108 (58618.40625, 58)\n",
" faiss cuvs gpu: 0.0062347271225669165 (58618.40625, 88)\n",
" torch topk: 0.006477820722362663 (58618.40625, 79)\n",
"nq=27\n",
" faiss classic gpu: 0.008478532757675438 (60538.421875, 57)\n",
" faiss cuvs gpu: 0.0056926643147188075 (60538.421875, 51)\n",
" torch topk: 0.006541527710951768 (60538.421875, 77)\n",
"nq=28\n",
" faiss classic gpu: 0.008500693137185615 (62349.04296875, 57)\n",
" faiss cuvs gpu: 0.0062923756512728605 (62349.04296875, 88)\n",
" torch topk: 0.006828462755357897 (62349.04296875, 74)\n",
"nq=29\n",
" faiss classic gpu: 0.008514960606892904 (65069.41796875, 57)\n",
" faiss cuvs gpu: 0.006429205621991839 (65069.41796875, 70)\n",
" torch topk: 0.00725460398024407 (65069.421875, 69)\n",
"nq=30\n",
" faiss classic gpu: 0.008515885001734683 (67122.53125, 57)\n",
" faiss cuvs gpu: 0.006313795330880702 (67122.53125, 87)\n",
" torch topk: 0.007800813764333725 (67122.53125, 64)\n",
"nq=31\n",
" faiss classic gpu: 0.008534372898570279 (69802.34375, 57)\n",
" faiss cuvs gpu: 0.005996644496917725 (69802.34375, 52)\n",
" torch topk: 0.00744557024827644 (69802.3359375, 67)\n",
"results=array([[0.00641688, 0.00298491, 0.0026414 ],\n",
" [0.006577 , 0.00347377, 0.00432426],\n",
" [0.00672322, 0.00372404, 0.00434459],\n",
" [0.006696 , 0.00385373, 0.00437132],\n",
" [0.00753462, 0.00478171, 0.00443623],\n",
" [0.00758453, 0.00479421, 0.00450785],\n",
" [0.00806671, 0.00561234, 0.00456364],\n",
" [0.00812358, 0.00562222, 0.00463498],\n",
" [0.00814428, 0.00561736, 0.00462975],\n",
" [0.00817636, 0.00569897, 0.00474733],\n",
" [0.00817267, 0.00584368, 0.00481374],\n",
" [0.00824767, 0.00591179, 0.00486965],\n",
" [0.00822917, 0.0061057 , 0.00491449],\n",
" [0.00826716, 0.00596573, 0.00500851],\n",
" [0.00827162, 0.00578595, 0.00518581],\n",
" [0.0083066 , 0.00610965, 0.00535335],\n",
" [0.00828018, 0.00602711, 0.0052425 ],\n",
" [0.00830786, 0.00618965, 0.00532467],\n",
" [0.00832818, 0.00601342, 0.00536455],\n",
" [0.00837659, 0.00639457, 0.00556509],\n",
" [0.00836848, 0.00627438, 0.00566414],\n",
" [0.00842597, 0.00608515, 0.00581256],\n",
" [0.00839752, 0.00642601, 0.00596509],\n",
" [0.00842824, 0.00587014, 0.00611475],\n",
" [0.00844521, 0.00639283, 0.00678653],\n",
" [0.00846071, 0.00623473, 0.00647782],\n",
" [0.00847853, 0.00569266, 0.00654153],\n",
" [0.00850069, 0.00629238, 0.00682846],\n",
" [0.00851496, 0.00642921, 0.0072546 ],\n",
" [0.00851589, 0.0063138 , 0.00780081],\n",
" [0.00853437, 0.00599664, 0.00744557]])\n",
"nq=1\n",
" faiss classic gpu: 0.007155018694260541 (30153.5390625, 68)\n",
" faiss cuvs gpu: 0.0039007680283652413 (30153.5390625, 144)\n",
" torch topk: 0.0026604555507394718 (30153.5390625, 187)\n",
"nq=2\n",
" faiss classic gpu: 0.007191636983086081 (60498.23828125, 68)\n",
" faiss cuvs gpu: 0.0034724002660706985 (60498.23828125, 86)\n",
" torch topk: 0.004343585071400699 (60498.234375, 117)\n",
"nq=3\n",
" faiss classic gpu: 0.007378686558116566 (92679.5546875, 66)\n",
" faiss cuvs gpu: 0.004079559574956479 (92679.5546875, 138)\n",
" torch topk: 0.004367773349468525 (92679.5546875, 117)\n",
"nq=4\n",
" faiss classic gpu: 0.007365840854066791 (122294.1640625, 66)\n",
" faiss cuvs gpu: 0.0037190293612545484 (122294.1640625, 73)\n",
" torch topk: 0.0043953480927840525 (122294.1640625, 115)\n",
"nq=5\n",
" faiss classic gpu: 0.008186026414235433 (153298.90625, 60)\n",
" faiss cuvs gpu: 0.005218683032814516 (153298.90625, 109)\n",
" torch topk: 0.004438441732655401 (153298.90625, 115)\n",
"nq=6\n",
" faiss classic gpu: 0.008287753088999603 (184585.0, 59)\n",
" faiss cuvs gpu: 0.005350864850557768 (184585.0, 104)\n",
" torch topk: 0.004515971456255231 (184585.0, 112)\n",
"nq=7\n",
" faiss classic gpu: 0.008753261395863124 (213092.0, 56)\n",
" faiss cuvs gpu: 0.005891831366570442 (213092.0, 91)\n",
" torch topk: 0.0045829377732835375 (213092.0, 111)\n",
"nq=8\n",
" faiss classic gpu: 0.008796717903830789 (242274.953125, 55)\n",
" faiss cuvs gpu: 0.005634164810180664 (242274.953125, 35)\n",
" torch topk: 0.004629566452719948 (242274.9375, 110)\n",
"nq=9\n",
" faiss classic gpu: 0.008828319202769887 (275486.71875, 55)\n",
" faiss cuvs gpu: 0.006209542584973712 (275486.75, 86)\n",
" torch topk: 0.004667479341680354 (275486.71875, 110)\n",
"nq=10\n",
" faiss classic gpu: 0.008846924521706321 (305558.25, 55)\n",
" faiss cuvs gpu: 0.006265692327214384 (305558.25, 87)\n",
" torch topk: 0.004752507916203252 (305558.25, 108)\n",
"nq=11\n",
" faiss classic gpu: 0.008859608390114524 (332790.6875, 55)\n",
" faiss cuvs gpu: 0.006430443376302719 (332790.65625, 64)\n",
" torch topk: 0.004824537151264695 (332790.65625, 106)\n",
"nq=12\n",
" faiss classic gpu: 0.008858607032082298 (365978.9375, 55)\n",
" faiss cuvs gpu: 0.006342752112282647 (365978.9375, 72)\n",
" torch topk: 0.004874733516148158 (365978.9375, 105)\n",
"nq=13\n",
" faiss classic gpu: 0.008896589279174805 (397638.75, 55)\n",
" faiss cuvs gpu: 0.0062158518824084056 (397638.75, 87)\n",
" torch topk: 0.00493049850830665 (397638.78125, 104)\n",
"nq=14\n",
" faiss classic gpu: 0.00892027508128773 (431075.1875, 55)\n",
" faiss cuvs gpu: 0.006470347559729288 (431075.1875, 86)\n",
" torch topk: 0.005025578480140835 (431075.1875, 102)\n",
"nq=15\n",
" faiss classic gpu: 0.008989850680033365 (464659.75, 54)\n",
" faiss cuvs gpu: 0.006320055141005405 (464659.75, 86)\n",
" torch topk: 0.005185317511510367 (464659.75, 99)\n",
"nq=16\n",
" faiss classic gpu: 0.008987183924074526 (488828.25, 54)\n",
" faiss cuvs gpu: 0.005827555289635291 (488828.25, 52)\n",
" torch topk: 0.005369663238525391 (488828.21875, 94)\n",
"nq=17\n",
" faiss classic gpu: 0.008950803014967177 (517515.8125, 54)\n",
" faiss cuvs gpu: 0.006403042288387523 (517515.8125, 85)\n",
" torch topk: 0.005274546389677086 (517515.8125, 98)\n",
"nq=18\n",
" faiss classic gpu: 0.008989219312314634 (546918.875, 54)\n",
" faiss cuvs gpu: 0.006396806941312902 (546918.875, 85)\n",
" torch topk: 0.005350762919375771 (546918.875, 95)\n",
"nq=19\n",
" faiss classic gpu: 0.008973139303701895 (582406.3125, 54)\n",
" faiss cuvs gpu: 0.006527160195743336 (582406.3125, 85)\n",
" torch topk: 0.0053824490689216775 (582406.25, 94)\n",
"nq=20\n",
" faiss classic gpu: 0.008976384445473 (615930.0, 54)\n",
" faiss cuvs gpu: 0.006506434508732387 (615930.0, 84)\n",
" torch topk: 0.0056153077345628 (615929.9375, 91)\n",
"nq=21\n",
" faiss classic gpu: 0.009042766359117296 (636661.125, 54)\n",
" faiss cuvs gpu: 0.006327234614979137 (636661.125, 55)\n",
" torch topk: 0.005641069305077028 (636661.125, 89)\n",
"nq=22\n",
" faiss classic gpu: 0.009052334008393463 (664780.4375, 54)\n",
" faiss cuvs gpu: 0.00674576931689159 (664780.4375, 83)\n",
" torch topk: 0.0057950534603812475 (664780.4375, 88)\n",
"nq=23\n",
" faiss classic gpu: 0.009056687355041504 (699423.0, 54)\n",
" faiss cuvs gpu: 0.006566274596984128 (699423.0, 83)\n",
" torch topk: 0.005941045985502355 (699423.0, 85)\n",
"nq=24\n",
" faiss classic gpu: 0.009081192736355763 (732771.875, 53)\n",
" faiss cuvs gpu: 0.006827019356392525 (732771.875, 74)\n",
" torch topk: 0.006062675090063186 (732771.8125, 84)\n",
"nq=25\n",
" faiss classic gpu: 0.00911386507862019 (759310.5625, 53)\n",
" faiss cuvs gpu: 0.006684631836123583 (759310.5625, 82)\n",
" torch topk: 0.006770498043782002 (759310.5625, 74)\n",
"nq=26\n",
" faiss classic gpu: 0.009138111798268444 (793074.875, 53)\n",
" faiss cuvs gpu: 0.0196138790675572 (793074.875, 7)\n",
" torch topk: 0.006466467169266713 (793074.875, 79)\n",
"nq=27\n",
" faiss classic gpu: 0.009138512161542784 (825840.375, 53)\n",
" faiss cuvs gpu: 0.006709846054635397 (825840.375, 82)\n",
" torch topk: 0.006564035044087992 (825840.4375, 77)\n",
"nq=28\n",
" faiss classic gpu: 0.00913804881977585 (860212.1875, 53)\n",
" faiss cuvs gpu: 0.006686410786193094 (860212.1875, 81)\n",
" torch topk: 0.006740924474355337 (860212.1875, 74)\n",
"nq=29\n",
" faiss classic gpu: 0.009147185199665573 (887295.375, 53)\n",
" faiss cuvs gpu: 0.006740399348882981 (887295.375, 81)\n",
" torch topk: 0.007124185562133789 (887295.375, 70)\n",
"nq=30\n",
" faiss classic gpu: 0.009180028483552753 (912357.0, 53)\n",
" faiss cuvs gpu: 0.006853804443821762 (912357.0, 66)\n",
" torch topk: 0.007995514642624628 (912356.9375, 63)\n",
"nq=31\n",
" faiss classic gpu: 0.00916159377907807 (942186.5, 53)\n",
" faiss cuvs gpu: 0.006768134236335754 (942186.5, 80)\n",
" torch topk: 0.007446175190939832 (942186.5, 67)\n",
"results=array([[0.00715502, 0.00390077, 0.00266046],\n",
" [0.00719164, 0.0034724 , 0.00434359],\n",
" [0.00737869, 0.00407956, 0.00436777],\n",
" [0.00736584, 0.00371903, 0.00439535],\n",
" [0.00818603, 0.00521868, 0.00443844],\n",
" [0.00828775, 0.00535086, 0.00451597],\n",
" [0.00875326, 0.00589183, 0.00458294],\n",
" [0.00879672, 0.00563416, 0.00462957],\n",
" [0.00882832, 0.00620954, 0.00466748],\n",
" [0.00884692, 0.00626569, 0.00475251],\n",
" [0.00885961, 0.00643044, 0.00482454],\n",
" [0.00885861, 0.00634275, 0.00487473],\n",
" [0.00889659, 0.00621585, 0.0049305 ],\n",
" [0.00892028, 0.00647035, 0.00502558],\n",
" [0.00898985, 0.00632006, 0.00518532],\n",
" [0.00898718, 0.00582756, 0.00536966],\n",
" [0.0089508 , 0.00640304, 0.00527455],\n",
" [0.00898922, 0.00639681, 0.00535076],\n",
" [0.00897314, 0.00652716, 0.00538245],\n",
" [0.00897638, 0.00650643, 0.00561531],\n",
" [0.00904277, 0.00632723, 0.00564107],\n",
" [0.00905233, 0.00674577, 0.00579505],\n",
" [0.00905669, 0.00656627, 0.00594105],\n",
" [0.00908119, 0.00682702, 0.00606268],\n",
" [0.00911387, 0.00668463, 0.0067705 ],\n",
" [0.00913811, 0.01961388, 0.00646647],\n",
" [0.00913851, 0.00670985, 0.00656404],\n",
" [0.00913805, 0.00668641, 0.00674092],\n",
" [0.00914719, 0.0067404 , 0.00712419],\n",
" [0.00918003, 0.0068538 , 0.00799551],\n",
" [0.00916159, 0.00676813, 0.00744618]])\n"
]
}
],
"source": [
"for nb in [100_000, 1_000_000]:\n",
" for d in [128, 1024]:\n",
" bench_brute_force(d, nb, [1, 16, 256])"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "3e51833e-d916-4189-aa78-3724018f3639",
"metadata": {},
"outputs": [],
"source": [
"def plot_results(d=1024, nb=2_000_000, k=64):\n",
" results = np.load(f\"/tmp/checkpoint/gsz/result_{d}_{nb}_{k}.npy\")\n",
" plt.plot(results[:, 0], label='classic')\n",
" plt.plot(results[:, 1], label='cuvs')\n",
" plt.plot(results[:, 2], label='torch')\n",
" plt.xlabel('batch size')\n",
" plt.ylabel('time (s)')\n",
" plt.title(f\"{d=} {nb=} {k=}\")\n",
" plt.legend()"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "a5c26769-7572-4875-89e0-6a8df87f9032",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# nb in [100_000, 1_000_000]\n",
"# d in [128, 1024]\n",
"# k in [1, 16, 256]\n",
"\n",
"plot_results(d=128, nb=100_000, k=1)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "10d72598-b1e2-4dea-a586-ef14c8803c62",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_results(d=128, nb=100_000, k=16)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "7c70e050-fb01-43b4-b0c4-6a40d17f9889",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_results(d=128, nb=100_000, k=256)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "dbfe1e83-6bb5-48a7-a0d9-ef989e95b0b5",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_results(d=1024, nb=100_000, k=1)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "d450809f-ef6c-4a1e-9fb9-0d4009bba255",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_results(d=1024, nb=100_000, k=16)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "a87c5680-97cc-4c0b-b4f6-753c002bae90",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_results(d=1024, nb=100_000, k=256)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "dc350d5a-2e86-4e3a-ba63-403f3d6406d7",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_results(d=128, nb=1000_000, k=1)"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "dff86c9c-729f-42a3-b195-ea63507dbafc",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_results(d=128, nb=1000_000, k=16)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "0a9fa68a-7891-4631-affe-6dd4819c4045",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_results(d=128, nb=1000_000, k=256)"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "c0585fd9-3f91-4fd4-b9db-f0fbe26a54b7",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_results(d=1024, nb=1000_000, k=1)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "0b9fe958-43ea-42fa-b95e-2dd8c4628389",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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hhBBCiAJIkiSEEEIIUQBJkoQQQgghCiBJkhBCCCFEAWTF7RKyWCxcvHgRNzc32WFaCCGEqCAURSElJYXAwMDbblsjSVIJXbx40bo9gRBCCCEqlujoaKpXr15oGUmSSih3/6To6Gjc3d01jkYIIYQQRZGcnExQUJD1e7wwkiSVUG4Xm7u7uyRJQgghRAVTlKEyMnBbCCGEEKIAkiQJIYQQQhRAkiQhhBBCiAJIkiSEEEIIUQBJkoQQQgghCiBJkhBCCCFEASRJEkIIIYQogCRJQgghhBAFkCRJCCGEEKIAkiQJIYQQQhRAkiQhhBBCiAJIkiSEEEIIUQDZ4FYIIYQQ5YaiKKRlmUlMz0Zvp8PP3ahZLJIkCSGEEOKWzBYFi6KgKKCg3gPX78l9TU1wlNzXFDArCikZ2SSmZZOYnk1iWhZJ6TnP07JJTM8iOf3G17NJSs8i26xW/lBYdT55uJkWHxuQJEkIIYS4a2Vkm0m4lsWV1CxSMrNJzTCRmqneUnIeX8s0kZphIiXnPu/r2WRkWzSJ3cHeDktuJqYRSZKEEEKICiIj28yVa1lcuZZFfGomV65lkZCaRcK1LBJynsdfy+LKtUwSUrNIyzJrHTJOBns8nQ14OBnwdDbg6eSgPs957OVsyHldPZ5bxmiwQ6fTaRq7JElCCCFEGbJYFFIyTSSlZZOUrt4S07Osj/Mcv+FxUno2qZmmYp/Pwd4OLxcD7kYDrkY9ro563HLuXRz1uDnqc46rr19/rt6cHezR29mBDnJzFh2g0+ly7kGHjhvzmdxjdjrQ21fcOWKSJAkhhBBFlDuoOCXDREpGNsk59+rzGx+r98kZJpJvOpaSkY3lDnqR9HY6qrg44O3qiLeLA96uDlRxccDH1VE9nnPM28WRKq4OuDnqNW+RqagkSRJCCFGpKIpiHSicnNNCk5yRc59uuul5zi3DZH1uupMM5wZOBns8nAzXb87XH3ve8Nw997mTAW8XR9ydJOkpK5IkCSGEKBOKonD+ajr/nLvKvnOJ7I9OJPpKGj6ujvh7GAnwMOLnrt7759wC3J2KnRSkZZm4mJjBxcT067ekjDyPs0x3NhjZTgduRgPuTnrcHA24GfXqc6Pe+vjGe3ennPucxx5OBhz19ncUgyh9kiQJIYQoFamZJv6NTmRfdGJOUnSV+NSsfOUSrmVx/FLKLetxMtirSZP7DcmThxE3o55LyZnEJKZzITcpSkonMS27SPG5Ol5PWnITF3djbuuN/qbn14+7Gw04O9hLa04lIEmSEEJUclkmC/GpmTjo7XDU2+Got8dgrytWEmCxKJy6nMr+c4nsi1Zbio5fSuHmGdwGex2hgR60CPKkRQ1Pald15cq1LGKTMohJyiA2OYPYpHRikjK4lJzB1bRs0rPNRMZfIzL+WpHjcXXUU83TiUBPI4GeTjk3I4Ee6mM/dyMO+oo7oFiUDUmShBCiEolPzeRoTHLOLYWjMcmcikstcJyNY27SZLC3PnbQ2+c7fi3TxMHzSaQUMPOqmqcTLWp40qKGF82DPGkU6I7RUPRupoxsM7HW5CnDmjzFJKWTnG7Cz90xbxKU89jdaLij6yQESJIkhBB3JZPZQmT8NY7EJHPkhoTockpmgeX1drp8iVKmyUKmyQIZRZt27mSwp1mQB82DvNTEKMgT3zvcUsJosCfYx4VgH5c7qkeIkpAkSQghKiCzRSEpPZsr17K4mqYuLngxMd3aQnT8UkqBg5N1OqhZxZmGAe433Nyo5ukEQJZZTYwysy1kmszWx1lmC5nZZmvilGky55SxoLfT0biaB/X8XCv0mjhC3EySJCGEuElyRjbpWWa8XRzK7Es/I9vMpeQMLqdkWhOfq2nZXM1ZXTnP85z9r263Y4Ozgz0N/N3yJEQN/N1wcbz1f/2Oent11pV2e4oKUW5IkiSEqHRMZgsxSRmcu5KW5xadc587O0qnA28XR/zcHfF1c8TP3Yivu9H6WD1uxMf11smUxaKQcC2LSzljai6lZHApd4xNcqb1cVJ60WZk3czdqMfLxQEvZwd83RzzJEU1qjhjZyczsIQoKUmShBAVkqIoWBQwWSyYzAomi4LZomAyW6yPE9OyC0yCLiSmY77NgoB2OrAo6kDn+NRMDhdSVqcDH9friZSj3o5LyRlcSs4kLiXDuqP57RgNdvi6Ganioq6g7OlsoIqzgzUJquJiyLl3wNNZfd0g3VtClBpJkoQQmlMUhcupmUTFpxEVf43IhGtExV8jKiGNK9cy1eTHouQkQxbMFqXIicetOOjtCPJyokYVZ2pUcSYo576GtzNBXs4YDfZcyWkBupySmSfpyb2PS87kcqoa3+WUTC6nZHL4YnK+c+W2SPl7OOLvri6Y6O9uxO+GtX/83IyykrIQ5YwkSUKIW7qUnMGm45fZdPIyV1KzrDt0q9sk5OzY7XR9N+/c150M+RfaUxSFK9eyiEq4RuRNydDZhLQSbdxZEDsd6O3s0NvrcHHU50+Ccm6+bo637Yqq6uZIVTfHQsuYLQoJ1zKJuyGBysw2W7vm/D3U7jlp8RGi4pEkSQhhlW22sPfsVTYev8zG43Eci731KsiFcbC3y0mc1KQpI9tCVMI1UgqZSq7TqWvqBHu7EOzjTLC3CyE+Lvi5G9Hb69Db6dDb2WFvp8t5bofeToe9vQ5D7nE7XZmPwbG30+HrZsTXzQh4lOm5hRClS5IkISq5mKR0Nh2/zMbjl9l2Kj7PgoA6HTSt7kmXelWpXdWF5PRs68agiWnZJKVn5XuebVbIMlus3U83C/QwWte9CfHOufdRW3pkLyshRHkiSZIQlUyWKae16EQcm45fztdaVMXFgc51feha35dOdX3wdi28u+lGiqKQlmXOSZqySErL5mpaNnp7HSE+LtSo4lys1ZaFEEJLkiQJUU6lZGRzITGdC1fTrffnE9NJzzJjb6fDXqd2NelzH+d0Q9nprnc76e102NvZYW8H9jodxy+lsO1UQp7xPzodNA/ypGs9X7rWr0qTah4l7rLS6dRxQC45+2YJIURFJkmSEBpQFIWradk5CVAa56+mc/6GZOhCYnqJ180pCm8XB7rUq0qX+lXpXLcqXi4OpXYuIYSoqCRJEsIGFEUhOcNkXQ05d5XkK3meZ6urJl/LIjY5g7Qs823r9XAyUM3TiWpeTlT3cqKapxNuRj1mC5gVBXPOmkAWRZ0ib7HkvVfLqPcms4KfuyNd6vnSKNBdFhkUQojbkCRJiCLKMlk4GpPM/uhEDkQnciExPWfPLHX8TUG7qN+Or5sj1XKSn2peTlTPua/m6Uw1LydcC9k+QgghROmS/4GFKICiKJy/ms6+6ET2n0tkf/RVDl1MLnDD0Bu5ONjjlbNachUXB+tqyVVuWjHZ191IgIdRBjELIUQ5JkmSEKiDpP89n8T+6ET2nbvK/uhE4lOz8pXzcDLQPMiT5kGe1KrqgreLY54tJCTpEUKIu4ckSaLS2nA8jlUHY9h3LpFTl1Pz7aiut9MRGuhuTYpa1PAi2NtZto0QQohKQvN18mfMmEFISAhGo5GwsDC2bNlSaPlNmzYRFhaG0WikVq1afP311/nKLF26lNDQUBwdHQkNDWXZsmV5XjeZTLzzzjuEhITg5ORErVq1+OCDD7BYCu9KEXePbafieXr2bn7Zc56TcWqCVN3LifuaBvDufaEsfaE9h97vxYqXOvJB/8YMbFmdEB8XSZCEEKIS0bQladGiRYwePZoZM2bQoUMHvvnmG/r06cORI0eoUaNGvvKRkZH07duX4cOH89NPP7Ft2zZGjhxJ1apVGTRoEAAREREMGTKEiRMn8uCDD7Js2TIGDx7M1q1badOmDQBTpkzh66+/Zs6cOTRq1Ig9e/bw9NNP4+HhwahRo8r0GoiyZ7Eo/HflUQC6N/Dl0dY1aBbkeds9uoQQQlQuOkW5uZOh7LRp04aWLVsyc+ZM67GGDRsyYMAAJk+enK/82LFjWbFiBUePHrUeGzFiBAcOHCAiIgKAIUOGkJyczKpVq6xlevfujZeXFwsWLADgvvvuw8/Pj++//95aZtCgQTg7OzNv3rwixZ6cnIyHhwdJSUm4u7sX74MLTf227wKjF+3HzVHPxte7FmtFaSGEEBVbcb6/Netuy8rKYu/evfTs2TPP8Z49e7J9+/YC3xMREZGvfK9evdizZw/Z2dmFlrmxzo4dO7Ju3TpOnDgBwIEDB9i6dSt9+/a9ZbyZmZkkJyfnuYmKJyPbzMd/HwdgRNfakiAJIYS4Jc262+Lj4zGbzfj5+eU57ufnR2xsbIHviY2NLbC8yWQiPj6egICAW5a5sc6xY8eSlJREgwYNsLe3x2w2M2nSJB599NFbxjt58mTef//94n5MUc7MizjLhcR0/N2NPNMhROtwhBBClGOaD9y+eSCsoiiFDo4tqPzNx29X56JFi/jpp5+YP38+//zzD3PmzOGTTz5hzpw5tzzvuHHjSEpKst6io6Nv/+FEuZKYlsX/1p8EYEzPejg5yHR9IYQQt6ZZS5KPjw/29vb5Wo3i4uLytQTl8vf3L7C8Xq/H29u70DI31vn666/z5ptv8sgjjwDQpEkTzp49y+TJkxk2bFiB53Z0dMTRUbpmKrIZG0+TnGGivp8bg1pW1zocIYQQ5ZxmLUkODg6EhYWxZs2aPMfXrFlD+/btC3xPu3bt8pVfvXo14eHhGAyGQsvcWGdaWhp2dnk/ur29vSwBcBeLvpLGj9uiAHizbwPsZd8yIYQQt6HpEgBjxoxh6NChhIeH065dO2bNmsW5c+cYMWIEoHZxXbhwgblz5wLqTLbp06czZswYhg8fTkREBN9//7111hrAqFGj6Ny5M1OmTKF///4sX76ctWvXsnXrVmuZ+++/n0mTJlGjRg0aNWrEvn37+Oyzz3jmmWfK9gKIMvPZmhNkmS20r+1N13pVtQ5HCCFERaBo7KuvvlJq1qypODg4KC1btlQ2bdpkfW3YsGFKly5d8pTfuHGj0qJFC8XBwUEJDg5WZs6cma/OxYsXK/Xr11cMBoPSoEEDZenSpXleT05OVkaNGqXUqFFDMRqNSq1atZS3335byczMLHLcSUlJCqAkJSUV7wOLMnfwfKJSc+wfSs2xfyj/RidqHY4QQggNFef7W9N1kioyWSepYlAUhSe+38m2Uwk80CyQLx9toXVIQgghNFQh1kkSoixsPhnPtlMJGOx1vN6rvtbhCCGEqEAkSRJ3LbNFYXLO9iNPtgsmqIqzxhEJIYSoSCRJEnetZfsucCw2BTejnpe61dE6HCGEEBWMJEnirpSRbebT1er2Iy92q4OXi4PGEQkhROWiKAr/Xv6XbEu21qGUmCRJ4q40e1sUMUkZBHoYeap9sNbhCCFEpfPT0Z94fOXj/N/G/6OizhGTJEncda5ey2LGxlMA/F/P+hgNsv2IEEKUpQxTBt8d/A6ADdEb+PnozxpHVDKSJIm7zvQNp0jJMNEwwJ0BLappHY4QQlQ6S08u5UrGFRzt1e28Pt37KYfjD2scVfFJkiTuKtFX0pgbEQXAuD6y/YgQQpS1bHM2sw/NBuCNVm/QvUZ3TBYTr216jZSsFI2jKx5JksRd5eO/j5NtVuhU14fOsv2IEEKUuRWnV3Ap7RK+Tr4MqDOA99u/T6BLIOdTz/N+xPsVanySJEnirvHv+URWHLiITgdjezfQOhwhhKh0TBaTdSzSU42fwsHeAQ9HD6Z2mYpep+fvqL9ZfGKxxlEWnSRJ4q6gKAr/zVk48sHm1WhczUPjiIQQovJZFbmK86nnqWKswqC6g6zHm1VtxqiWowCYsmsKx68c1yrEYpEkSdwVNh6/zI4zV3DQ2zGmZz2twxFCiErHolisrUhDQ4fibMi7y8GTjZ6kU7VOZFmyeH3z66Rlp2kRZrFIkiQqPLNFYfIqtRXp6fbBVPeS7UeEEKKsrTu3jjNJZ3BzcOOR+o/ke91OZ8ekjpPwdfIlMimSSTsnaRBl8UiSJCq8pXvPc+JSKh5OBkZ2le1HhBCirCmKwrf/fgvAYw0ew9XBtcByXkYvpnSegp3OjhWnV7D81PKyDLPYJEkSFVp6lplP16h92y/fUwcPZ4PGEQkhROWz5cIWjl45ipPeiScaPlFo2XD/cEY2GwnApJ2TOJN0pixCLBFJkkSF9sO2SC4lZ1Ldy4mh7WpqHY4QQlQ6iqIw699ZAAypPwRPo+dt3/Nck+do49+GdFM6r216jQxTRilHWTKSJIkKw2xROBWXwvL9F5i88ihDv9/JtHUnAXi9V30c9bL9iBBClLXdsbs5cPkADnYODGs0rEjvsbezZ3KnyVQxVuHk1ZNM3T21lKMsGb3WAQhRkPQsM8dikzkSk8yRi8kcvpjMsdhkMrIt+cp2rOPD/U0DNYhSCCHErINqK9LAugPxcfIp8vuqOldlcqfJjFgzgsUnFtPavzW9Q3qXVpglIkmS0FxSejYHzydx+GISR2LUhOjM5VQsBSzK6uxgT8MAd0ID3AkNdKdRoDuNAj2wk+1HhBCizB24fICdMTvR6/Q80/iZYr+/fWB7nmvyHN8e/JYJERNo5N2IIPegUoi0ZCRJEpq6kJhOz882cS3LnO81H1cHQgM9aBSoJkWNAt2p6e0i+7EJIUQ5kTuj7f7a9xPgGlCiOkY2H8meS3vYF7eP1za/xrw+83Cwd7BlmCUmSZLQ1B8HLnIty4yXs4H2tX0IDcxpIQpwx9fdqHV4QgghbuFowlE2nd+Enc6OZ5s8W+J69HZ6pnaeykO/P8SRhCN8vvdzxrYea8NIS06SJKGpvw/HAjCmRz2GtgvWNhghhBBF9u1BtRWpV3Avarrf2exifxd/PuzwIS+vf5mfjv5EuH843Wt0t0WYd0RmtwnNxCVnsC86EYAeof7aBiOEEKLIziSeYe3ZtQAMbzLcJnV2DerKk6FPAvDutne5mHrRJvXeCUmShGbWHo1DUaBZkCf+HtK1JoQQFcV3B79DQaF7je7U9aprs3pHtxxNY+/GpGSl8MbmN8i2ZNus7pKQJEloJrerrWeon8aRCCGEKKrolGhWRq4EYHhT27Qi5TLYG/i4y8e4Gdw4cPkA0/dNt2n9xSVJktBESkY220/HA9CrkXS1CSFERfHDoR8wK2Y6VOtAI+9GNq+/ult1JrSfAMDltMtYlPzr45UVGbgtNLHh+GWyzQq1qrpQx7fgjRCFEEKUL7HXYq2b0v6nyX9K7Tw9g3syz3kezao2Q6fTbtkXSZKEJlbndLVJK5IQQlQccw7PIduSTbhfOC39WpbquZr7Ni/V+otCuttEmcs0mdl4/DIg45GEEKKiSEhPYMmJJYDtxyKVV5IkiTK3/XQCqZkm/NwdaVbdU+twhBBCFMG8I/PIMGfQxKcJ7QLaaR1OmZAkSZS53K62HqF+sueaEEJUAEmZSSw8vhBQ10XScpxQWZIkSZQps0VhzZFLgIxHEkKIimL+sflcy75GPa96dAnqonU4ZUaSJFGm9p27SnxqFm5GPW1CvLUORwghxG1cy77GT0d+AtRWJDtd5UkdKs8nFeXC6pxWpO4NfHHQy6+fEEKUd78c/4XkrGSC3YPpUbOH1uGUKfmWEmVGUZTrq2xLV5sQQpR7GaYM5hyeA8CzTZ7F3s5e44jKliRJosycuJTK2YQ0HPR2dKlXVetwhBBC3Mai44tIyEgg0CWQfrX6aR1OmZMkSZSZ3Fltner44OIo65gKIUR5Fnstlhn7ZwAwotkIDHYGjSMqe5IkiTLz9xFZZVsIISqKKbumkGZKo3nV5vSv01/rcDQhSZIoExcS0zl0IRk7HXRv6Kt1OEIIIQqxKXoTa8+txV5nz7vt3q1UM9puVDk/tShzuV1t4TWr4O3qqHE0QgghbiUtO43/7vwvAE+GPkk9r3oaR6QdSZJEmVh9WJ3637OR7NUmhBDl2Tf/fsPFaxcJcAlgRLMRWoejKUmSRKm7ei2LXVFXABmPJIQQ5dnJqyeZe3guAG+1eQtng7PGEWlLkiRR6tYdi8NsUWgY4E5Qlcr9D04IIcori2Jh4o6JmBQT9wTdQ9egrlqHpDlJkkSpsy4gGSpdbUIIUV79duo39sXtw0nvxLg247QOp1yQJEmUqvQsM1tOXgakq00IIcqrKxlX+GzvZwC82PxF/F3k/2uQJEmUsk0nLpORbaG6lxMNA9y0DkcIIUQBPt3zKUmZSdT3qs/jDR/XOpxyQ/MkacaMGYSEhGA0GgkLC2PLli2Flt+0aRNhYWEYjUZq1arF119/na/M0qVLCQ0NxdHRkdDQUJYtW5bn9eDgYHQ6Xb7biy++aNPPJmD1DQtI6nQ6jaMRQghxs92xu1lxegU6dLzX7j30drIjQi5Nk6RFixYxevRo3n77bfbt20enTp3o06cP586dK7B8ZGQkffv2pVOnTuzbt4+33nqLV155haVLl1rLREREMGTIEIYOHcqBAwcYOnQogwcPZufOndYyu3fvJiYmxnpbs2YNAA8//HDpfuBKJttsYd3ROEDGIwkhRHmUZc5i4o6JADxc72GaVm2qcUTli05RFEWrk7dp04aWLVsyc+ZM67GGDRsyYMAAJk+enK/82LFjWbFiBUePHrUeGzFiBAcOHCAiIgKAIUOGkJyczKpVq6xlevfujZeXFwsWLCgwjtGjR/PHH39w8uTJIrd2JCcn4+HhQVJSEu7u7kV6T2Wz/VQ8j323kyouDux++17s7aQlSQghypNZ/87if/v+RxVjFX5/8HfcHe7+77PifH9r1pKUlZXF3r176dmzZ57jPXv2ZPv27QW+JyIiIl/5Xr16sWfPHrKzswstc6s6s7Ky+Omnn3jmmWcKTZAyMzNJTk7OcxOFW31EXUDy3oa+kiAJIUQ5E50czax/ZwHwRqs3KkWCVFyaJUnx8fGYzWb8/PJ2w/j5+REbG1vge2JjYwssbzKZiI+PL7TMrer87bffSExM5Kmnnio03smTJ+Ph4WG9BQUFFVq+slMUxboVicxqE0KI8kVRFCbtnESmOZO2AW3pG9JX65DKJc0Hbt/ceqMoSqEtOgWVv/l4cer8/vvv6dOnD4GBgYXGOW7cOJKSkqy36OjoQstXdocuJHMxKQNnB3s61PHROhwhhBA3+Pvs32y7uA0HOwfeafuOTKy5Bc2GsPv4+GBvb5+vhScuLi5fS1Auf3//Asvr9Xq8vb0LLVNQnWfPnmXt2rX8+uuvt43X0dERR0fZmLWocheQ7Fq/KkaDvcbRCCGEyJWSlcLUXVMBeK7Jc9R0r6lxROWXZi1JDg4OhIWFWWeW5VqzZg3t27cv8D3t2rXLV3716tWEh4djMBgKLVNQnbNnz8bX15d+/frdyUcRBcid+t8zVLrahBCiPPnfvv9xOf0ywe7BPNvkWa3DKdc0XQxhzJgxDB06lPDwcNq1a8esWbM4d+4cI0aouw6PGzeOCxcuMHeuutneiBEjmD59OmPGjGH48OFERETw/fff55m1NmrUKDp37syUKVPo378/y5cvZ+3atWzdujXPuS0WC7Nnz2bYsGHo9bImhC1Fxl/jxKVU9HY6ujXw1TocIYQQOQ7HH2bhsYUAvN32bRzsHTSOqHzTNDsYMmQICQkJfPDBB8TExNC4cWNWrlxJzZpq019MTEyeNZNCQkJYuXIlr776Kl999RWBgYF8+eWXDBo0yFqmffv2LFy4kHfeeYd3332X2rVrs2jRItq0aZPn3GvXruXcuXM888wzZfNhK5HcAdvtanvj4WTQOBohhBAAJouJ9yPeR0GhX61+tA1oq3VI5Z6m6yRVZLJO0q0NnLGNf84lMrF/I4a2C9Y6HCGEEMDPR3/mo10f4ebgxooBK/BxqpyTairEOkni7hSXnMG+6EQAesh4JCGEKBcuXbvE//b9D4DRLUdX2gSpuCRJEja15uglFAWaBXni72HUOhwhhBDAlN1TuJZ9jaZVm/JQvYe0DqfCkCRJ2NTqw+oq270ayV5tQghRHqw7u441Z9dgr7PnvbbvYaeTr/6ikislbCY5I5vtp9WVz2XqvxBCaG9f3D7e3PImAENDh1K/Sn2NI6pYJEkSNrPx+GWyzQq1q7pQx9dV63CEEMLmrmZc5bdTv5FuStc6lNs6cfUEL657kQxzBh2rdeSVlq9oHVKFI0mSsJncqf89Za82IcRd6r87/8u7297l1Y2vYrKYtA7nls6nnGfEmhGkZKXQvGpzPuv6GQY7WZKluCRJEjaRaTKz8fhlQDa0FULcna5kXGHtubUAbLuwjY92fUR5XEUnPj2e/6z5D5fTL1PHsw7Tu0/HSe+kdVgVkiRJwia2n04gNdOEn7sjTat5aB2OEELY3O+nf8dkMVHVqSo6dCw6voifj/6sdVh5pGSl8MLaF4hOiaaaazW+6fENHo7yf3JJyX4cAkVRWHPkEt9uOUOWWcHPzRF/DyN+7rk3R/zdjfi6G3E36gvcLdra1Rbqj52d7CYthLi7KIrC0pNLAXih+QukZafxyZ5PmLp7KtXdqtM1qKu2AQKZ5kxeWf8Kx64co4qxCt/0+AZfZ9ka6k5IklTJ/Xs+kQ//PMquyCtFKu9ksMfP3RFfdyP+OQmUn7uRNUfUqf89Zeq/EOIutC9uH5FJkTjpnegb0hdnvTNRyVEsObGENza/wZzec2jo3VCz+EwWE69vep09l/bganDl63u/pqZ7Tc3iuVtIklRJnb+axsd/H2f5/osAOOrteLZjCM2CPIlLziA2OYNLyZlcSs7IuWWSlJ5NeraZqIQ0ohLS8tXpZtTTtpZ3WX8UIYQodbmtSL2De+NicAHgrTZvcSHlAhExEby07iXm95uPn0vZ/6GoKArvR7zPhugNONg58OU9X2qasN1NJEmqZJIzsvlqwylmb4siy2RBp4MHW1TjtZ71CfQsfGBfepaZuJQMYpMyuJSSyaWknAQqJZP4lEwebFkNg70McxNC3F2Ss5JZHbUagEH1rm+obrAz8GnXTxm6ciink07z8vqX+bH3jzgbnMs0vs/3fs5vp37DTmfH1C5TaeXfqkzPfzeTJKmSyDZb+HnHWaatO8nVtGwA2tXy5u1+DWlcxIHWTg721PR2oaa3S2mGKoQQ5cqqM6vIMGdQx7MOTX2a5nnNzcGNr+79isf+fIyjV44ydvNYvuj2BfZ29mUS2+xDs5l9eDYAE9pNoHuN7mVy3spC/uy/yymKwl+HYun5+WYm/H6Eq2nZ1PF15Yenwpk/vE2REyQhhKiscrvaBtUdVODElWqu1fjyni9xtHdk4/mNfLLnkzKJa9nJZXy29zMAXg17lQfrPlgm561MpCXpLrY/OpFJfx5hd9RVAHxcHXi1Rz2GhAehl24xIYS4rSMJRzh65SgGOwP31brvluWaVW3GpI6TeG3Ta/x09CdqutfkkQaPlFpc686tY0LEBACebvQ0zzR+ptTOVZlJknQXir6SxtS/j/P7AXVQttFgx/BOtXi+S21cHeVHLoQQRbX0hNqKdG/Ne/E0ehZatldwL6JTopn2zzQ+2vUR1d2q07FaR5vHtDt2N29segOLYmFAnQG8Gvaqzc8hVPKNeRdJychm+vqcQdlmdVD2oJbV+b+e9QjwkNVWhRCiONKy01gZuRJQu9qK4tnGzxKVFMXy08t5bdNrzO0zl3pe9WwW09GEo7y8/mWyLFl0C+rG+HbjC+wCFLYhSdJdQFEUfv83hg//OEJcSiYAHep481bfhjQKlDFHQghREqvPriY1O5Ugt6AizxjT6XSMbzeemGsx7IrdZV0awMfJ547jOZt8lhFrR3At+xphfmFM7TwVvZ18jZcmGZhSwZ2+nMoT3+/klQX7iEvJJNjbmdlPteKnZ9tIgiSEEHfg15O/AjCw7kDsdEX/ujTYG/is62cEuwcTcy2Gl9e9TLopvcRxpGSlsPn8Zp5f8zxXMq7QoEoD/nfP/zDqjSWuUxSNpKAVVHqWmekbTjJr8xmyzQqOejte7FaH/3SuhdFQNlNPhRDibnU68TT74vZhr7Onf+3+xX6/h6MHM7rP4LGVj3Eo4RBvbXmLT7t+WqRk60rGFf659A97L+1l76W9HL96HItiAaCGWw1m3jsTNwe3Ysckik+SpApozZFLTFhxmAuJ6l8m9zTwZcL9jajhXbYLmAkhxN0qtxWpc/XOVHWuWqI6gtyDmNZtGs+tfo6159byxT9fMCZsTL5ysddi2XNpjzUxOpN0Jn9dbkG09m/NiGYjbNJ1J4pGkqQKJPpKGhNWHGbdsTgAqnk6Mf7+UHqE+snAPSGEsJEscxYrTq8Aij5g+1Za+rXkgw4fMG7LOGYfmk1Nt5qE+4dbW4n2XtrLhdQL+d5Xx7MOYX5hhPuF09KvpWxUqxFJkiqATJOZWZvOMH3DKTJNFgz2OoZ3qsVL99TB2UF+hEIIYUvro9eTmJmIr7MvHap1uOP67qt1H9HJ0cw4MMO6ttGN7HX2NKzSkDC/MML8wmjh2+K2yw2IsiHfsOXc5hOXGb/iMJHx1wBoX9ubD/o3po6vq8aRCSHE3Sl3baQBdQbYbPbYiGYjiE6J5vczv+Ng50CTqk3UpMg3jGa+zayb5oryRZKkcio2KYOJfxzhz4MxAFR1c+Td+0K5v2mAdK0JIUQpOZ9ynh0xO9ChY2DdgTarV6fT8WHHD3mm8TMEuQfhaO9os7pF6ZEkqZzJNlv4cVsUX6w9wbUsM3Y6GNY+mFd71MPdaNA6PCGEKB/2/AC7voOHvgffhjarNnfAdtuAtlRzrWazegHsdHbU8apj0zpL1aUjsGESHF8J1VtB25HQ4D6wrzypQ+X5pBXEl+tO8r/1pwBoWcOTiQMay3pHQojSZbGAORMMFWRl/sjN8Of/gWKBdRPh0fk2qdZkMbH81HIABtW7swHbFVrCadg4GQ4uART1WPRO9eYRBK3/Ay2fBCdPLaMsE7KYZDnzVPtgQnxcmDqoKUtGtJcESQhRuhQFlj4L/w2ExU/BhX+0jqhwyRdhyTNqggRw/E+1xcMGtl7YSlx6HF6OXnQL6lZwoX0/wdRa8PfbkJlik/OWG4nRsPwlmN4KDi4GFAjtD0//BV3GgrMPJEXDmnfhs1D48zWIP6V11KVKpyiKonUQFVFycjIeHh4kJSXh7u5u07rNFgV7Oxl3JIQoA3vnwO+v5D1WsyN0eAXq9AC7cvS3tDkbfuyntmj4NVZbNU6sgqZDYOCsO67+5fUvszF6I8NCh/Faq9fyF8hIhi+aQEai+twtAHp+CI0HQUUeK5pyCbZ8CntngzlLPVa3J9zzDgQ0u14uOwMOLYGIGRB3+Prxur2g7QtQq2uFuA7F+f6WJKmESjNJEkKIMnElEr7uCFmp0PZFSEtQvwQtJvX1qg2g3UvQdDDoy8FA47/GwY4Z4OgO/9motuTM6gI6e3jlH/AKLnHVcWlx9FzSE7NiZnn/5dTyrJW/0Kap6hgdz5qgs4Orkerx4E7Q92Objo0qE2lXYNs02DULstPUY8Gd4J53oUabW79PUdQuzx0z4cRfWLvkqjZUk6Wmg8t1121xvr/L0Z8IQgghyozFDMtGqAlSjfbQcyIM/AZGHYD2L4ODG1w+Bitegi+awpbPIP2qdvEe+lVNkAAe/Bq8a0Ngc6jdHRQzbPvyjqpffmo5ZsVMS9+WBSdI6YkQMV193P09GLkDur0DeieI2qImmxWlCy4jGTZOgWnNYNsXaoJULRyeXA5P/VF4ggRqa1GtLvDYQnh5L7R+HgwucPmo2ir5Wag6Viw5pkw+TmmSlqQSkpYkIUSFtvVzWDsBHFzhhW35W2EykmDvj7Dja0i5qB5zcFUH7LZ9ATxrlF2sl4/Dt/eoCV2H0dDj/euvRW1Vu+DsHWH0QXDzK3b1FsVCv1/7cT71PB92+JD+dQrYq23jR+pg5qoN4IXtYJezR+bVs/D3W3DsD/V5ee6Cy0qD3d/C1i8g/Yp6zK+x2q1Wr/edxZueqI7X2vkNJJ1Tj9npodFAuHc8eFS/0+htRrrbyoAkSUKICiv2IMzqBpZs6P8VtHji1mVNWXBoKWz/3/VxKDp7aPSgOm7pxjErpSEzVU2Q4o+rXUFDf8s7BV1R4Ide6jilDqOgxwfFPsWOmB0MXz0cV4Mr6wevx0l/U1dReqLampaZBA/NhsYFrJ90cg2sfL18dsFZzOqSCZs/gdRY9Zh3Xej2FoQOsO24M7NJXTJgx0w4t/36uZ5bW25mw0l3mxBCiIJlZ8Cv/1ETpPr9oPnjhZfXO0DzR9XWpseXQkgXtXvr0BL4pjPMeQBOrSudWBVF7b6JPw6u/vDQD/nX6NHpoGPOprG7fyhRl+CvJ9S1kfrV6pc/QQK1my8zCXxD1aSiIHV7lN8uuC2fwcrX1ATJswb0n6HG2nig7Qfm2+sh9AF4ZhUM3wDu1SHhJCx5Wk2gKhhJkoQQojLZ8CHEHQGXqnD/tKJ3seh0UPdeGLYC/rMJGj+ktihFboKfBsLS59QuOlvaNUttxbLTw+A54HqLTV7r9QLfRpCVoi4wWQxXM66y9txa4Bab2aZfVVtFQJ0GX1hSYTBCl9fhxZ3qoosWkzqO6X/h6ppDWnTcZKfDzpz4u74FL+2FFo+XzYKQ1VrCowvA4Ayn18Pqt0v/nDYmSZIQQlQWUVthe87g4/u/BNeqJasnsLm60vUr+6DNCDVZOrhYbTmJ3mWbWKN3qWN9AHpMhBptb11Wp4NOOa1JO2dC1rUin+aPM3+QbcmmYZWGNPQuoGss4ivITFbH7jR8oGiVetWER36Gx5dAlVpqC87SZ2HO/RB3tMix2cS/v6izFj1rQOfX1JbBshTQFB78Rn2882vYM7tsz3+HJEkSQojKICMZlr0AKOoYpAZ977xOr5rQZwo885c6LT7xHPzQW50qbzGXvN7Uy/DLMLUlJnSAOlD8dkIHqIPP0xLgn7lFOo2iKNbNbAtsRUq7og5ch9u3IhWkbg94IUIdGH1jF9yJ1cWrp6QU5XorWOvnrw82L2uhD6jXANRuv8jN2sRRApIkCSFEZfDXOHXWkWcN6DXZtnUHtYYRW6HJYHW80oZJ6oyzxHPFr8tihqXPqDPqvOtC/+lF6xK016sz30AdZG7Kuu1bDlw+wOmk0xjtjfStVUDSGDFd7cLzb6J2n5WEwQidX4eXdqmLc1pMsOY9dSuY0nZmgzot38EVWg4t/fMVptNrahetxQS/PAlXzmgbTxFJkiSEEOXFpSNwZPmdtcIU5NifsP8nQKd2fRhLYUau0R0GfQsPzlLXWDoXATM7qusbFceGSWpLg8EFhvwEjm5Ff2/zx9QB3skX4N9Fty2+9KTaitQzuCduDjed51qCOp0doOu4Ox/g7FlD7aJ09FATl9wlA0pTRM66Ui2eAKPGW1zpdGrCG9hSHec1/xHbj2ErBZIkCSGE1jKSYdWb8HUH9a/sH3pD/Enb1J16GVbkbDvS/mWo2d429d5KsyEwYou6a3xmkjqr6bcX1an8t3N8lbo9BsADX4Jvg+KdW+8I7V5UH2/7otBkMzUrlb+j/gbgoXoP5S+w/Ut1XaaAZlDfBl2ToCYqbZ5XH2/+uHQHcl8+AafWALrr59SawUkdyO0WqM5YXPKs7f8gsDFJkoQQQiuKAod/g69aqwOOFQvojXB+lzp2Zfv/7uxLJHcKfVq8Ovsrd1xIaasSAk+vgs5vqNt37P8JvukEF/be+j1XIuHXnC/z1s9DkwISl6IIfxqMnpBwCo6uuGWxlZErSTelU8ujFs2rNs/74rV42PWt+rjrONsuCtn2BbX7K/ZfOFmKY5NyZ7TV76sOHi8v3Pzh0fnqGK1Ta2D1u1pHVChJkoQQQgtXIuHnh2HxMEiJAa8QeOJXdZuH2veAKQNWvwOz+5R8p/V9P6kL+9kZ1C1HynL/NXsD3PM2DPtDXSvnyhn4vqe60vfN43Gy0+GXoWrLU/VW6orVJeXodr3lZMtnt2yt+fWk2g04sO5AdDcnQdumQfY1CGyhrkRtS85VoNWz6uNNU0unNSntCuxfoD5uN9L29d+pwBbwYE4St+OrIg+014IkSUIIUZZMWerKxzPaqn9J2zuoM6dGRkCd7ur2DU/8qk7Rd3BTV5L+uoM6Fb04rUpXo+CvN9XH97ytDj7WQnAHeGGrOvvMYlK3QpnXH5IvXi+z8jV1FXBnb3h4zp1PU28zQh3TFPsvnM6/0OWxK8c4nHAYvZ2e+2vfn/fF1MuwO2etJVu3IuVq97LaknJhD5zZaPv69/4IpnT1Z16zg+3rt4VGD6rXF+CPMRC1Tdt4bkGSJCFE6bGY1SnUG/6rDoStCBRFXSX5u3thw2T1y9tWf+1H5kwBXz9RbSkK6azuA9btrby7put0EDZMTZxqdVXL/v0WzO4LCadvf548m9e2g/av2Cb+knLygod/VLdAMbioA7Nntoejv6utCPt+UrvlHvoBPKrd+fmcq0DYU+rjLZ/leWl37G7e2qquv9S9RneqGKvkfa91w9cwqNvzzmMpiGvV6/Ft/ti2dZuzr3cVtn2x/O0fd6MuY9VkyZKttiRejdI6onxk77YSkr3bhLiN5Bj4dbi6NgyorSIdXoG2I8HRVdvYCrP1C1g7Pu8xzxrqFPAG/SCobfFXK069DGvehQM5XSAuVaHXf6HJw7f/ElMUtWVg9Ttq0qN3UjcMbf38rWdc5X4GB1d1an6VkOLFW5riT6kLK8bsV5/r7NVlA+55V13s0FaSLqi73Fuy4Zm/ifasxqd7P2XdObVlyc3gxg+9f6BBlRsGh6dcUt9jSlcXgqzbw3bx3Cz5onoucxY8tVJtcbOFg0vU6+viC68eKtsu1pLISoMf+8LFfVC1ITy7unRmX95ANrgtA5IkCVGIk2vUloy0eLXlwCv4+uaozj7Q5Q31L+ny9h/4idUwfzCgQKvh6hfZ6XVqS04upypQv4+aNNXulrcF6GYWC+ybC2vGQ0YioFMHFnd/T21dKY7Ec7D8JXUbEIAa7dUp1d6185aLPQTfdlO/fO//Um2RKm9MWer2KNu+BBR13M8jC2y/j9iKl0nZN49ZIc34SZeMyWLCTmfHw/UeZmTzkflbkf56Sx0jU70VPLum9Fth/nhV3Xi2Vjd48rc7r09R1M2AL/4D3d5W/51VBMkX1Q2XU2Ohbi91BlwpLnxZoTa4nTFjBiEhIRiNRsLCwtiyZUuh5Tdt2kRYWBhGo5FatWrx9ddf5yuzdOlSQkNDcXR0JDQ0lGXLluUrc+HCBZ544gm8vb1xdnamefPm7N1byMwLIcTtmbLUFo+fH1ITJL8m8PwmtTXjoR/UWTZp8bDqDZgeDgcWlp8pwPEn1f3HUKDlMHUH90fnwxtnYMjP0OwxNbFJvwL7f4aFj8LUWrDwcXWQbNqVvPXFHlJ3p/99lJog+TVRv3jv+7z4CRKorVlPLod+n6mJ57ntMLOD2p2ZOxDalKluXmvOgnp9oOWTd3pVSofeAXp8AE/9qY5LGTjL5gmSyWLil+oNuC8okB+VK5gsJtoFtGPJ/Ut4p+07+ROklFjY8736uLTGIt2sw2h1X7ozG+D8njuvL3qXmiDZO0LY03deX1lxD8yZ8WaEk3/nb8nVkKYtSYsWLWLo0KHMmDGDDh068M033/Ddd99x5MgRatSoka98ZGQkjRs3Zvjw4Tz//PNs27aNkSNHsmDBAgYNUpeUj4iIoFOnTkycOJEHH3yQZcuW8d5777F161batGkDwNWrV2nRogXdunXjhRdewNfXl9OnTxMcHEzt2rXznbcg0pIkxE2uRKrN/LnTvFv/R91zy2C8XsacDfvmwcYp6l+NoDaxd39PbZ3RavxEeiJ8112dNh7UFob9XvDgYbNJXSTx2B/qAo1J0ddf09mraxA1uE89vmOm2o3k4Kr+Vd/6P7bbVPTqWVjx0vXtHWp2UFuV9v6ozsxy9lZ3eb/VhrB3ue0XtvPxno85lajOCgzOyuZ1t1A6DVmafyZbrlVj1b3FgtrAM3+X3e/iby+qSyTU6w2P3X4BzEL98qS6GGmLoervQ0WT21UI0H+GuhFvKagw3W1t2rShZcuWzJw503qsYcOGDBgwgMmT8y+bP3bsWFasWMHRo9c3CBwxYgQHDhwgIiICgCFDhpCcnMyqVausZXr37o2XlxcLFqjjAd588022bdt221arwkiSJMQNDv2qtphkJqtr1PT/ChoWso1DVhrs+kadDp676m711nDvBNuNzSgqixnmD1FnmrlXh/9sKFpyoSjq7Kljf8LRP653J96o4QPQ+yPbDEbOF7dFbflYM16drm5wVqfSo6grVTe8/7ZV3G3OJJ3h0z2fsvm8mjy6O7gzstYABq/6EIPODl7ak797EnLGBzUHcyYM/U3tRi0rCafVVlXFAs9vVhevLInEc+oYJ8WiTgbwa2TbOMvK+kmweao663PY74VvbFxCpdrdFhUVxbx585g4cSLjxo3js88+Y8OGDWRkZNz+zTfIyspi79699OyZd/ZAz5492b59e4HviYiIyFe+V69e7Nmzh+zs7ELL3FjnihUrCA8P5+GHH8bX15cWLVrw7bffFhpvZmYmycnJeW5CVHpZaepqzkueVhOkoLZq11phCRKAgzN0fBVGHVDv9U7qAoo/9oWfHoKYf8smfoB1H6gJkt6o7txe1NYXnU79Quv2FozcDq/sg56T1LFC1VvBY7/AkHmlkyCB2j3Verh67uBO6owsFGj+eKVLkJIyk/ho10cMWj6Izec3o9fpeaLhE6wcuJLH27yOoU4PNXnY/mXBFWz9XE2QarRTZxOWJe/a0Dhnc93Nn5S8np3fqJ+xVteKmyCB2tXZ8AG1y3jh42qrqYaKnCTNnz+ftm3bUqtWLV5//XV+++03tmzZwnfffUfv3r3x8/Nj5MiRnD1btA8UHx+P2WzGz88vz3E/Pz9iY2MLfE9sbGyB5U0mE/Hx8YWWubHOM2fOMHPmTOrWrcvff//NiBEjeOWVV5g799YLWk2ePBkPDw/rLSgoqEifU4i7VtxRdZDoP3MAnbqB5VN/gmcx/m04eamtR6P2Q/iz6viMU2vU1ZmXPFu06e534t/F6pRvUFu/ApuXvK4qtaD9S/DMKnhuLdTrZYsIb88rGJ5cAfdPgzYvQJ8pZXPeciDbks3PR3+m7699+fnoz5gUE12qd+HX/r8ytvVYPBxz9ivr9H/q/f756qzLGyVdULspoezGIt2sU86svqMr1H9XxZWZAv/MUx+3LYeLRxaHnR08+DX4N1XHL/7yZNlsBnyrcIpSqGXLlnz22Wc88cQTREVFERsby969e9m6dStHjhwhOTmZ5cuXY7FYCA8PZ/HixUUO4Ob+YUVRbt1nfIvyNx+/XZ0Wi4WWLVvy3//+lxYtWvD8888zfPjwPN1+Nxs3bhxJSUnWW3R09C3LCnFXy52SPqubulGnq586M6f7uyUfc+PmD/d9Bi/uUncKBzi0RN2u48/X1C8BW7u4Tx3XA2prVkm3wSgP7OzU2YJ9PirehrAV2Obzmxm4fCAf7fqI5Kxk6njWYVaPWUzvPp0Qj5uWPKjZTm0lMmdBxE1jdbZ+ph6v2UFdt0oLvg3U1hO4vnddceyfr65W7l0H6pTisgVlxcFFneFWtaG6+rqtZz0WQ5HOPHHiRPbs2cNLL71U4IBqR0dHunbtytdff83Ro0cJDg6+bZ0+Pj7Y29vnazWKi4vL1xKUy9/fv8Dyer0eb2/vQsvcWGdAQAChoaF5yjRs2JBz587dMl5HR0fc3d3z3ISodDKSYMkz6vgjUzrU7q52r9mqi8K7trpT+vOb1f/sLSbY/a268GBkyccQ5pNySW3KN2WoU47vKd/7R4nrziSd4YW1L/DiuheJSo6iirEK77Z9l8X3L6ZdYLtbv7HjGPV+z+zrMxGTzl/fEqPbW9ouvNj5dfX+0NLitaBaLOokAVBXGtcwobApj+rq2KqQTpqGUaSr2a9fvyJX6OPjQ6tWrW5bzsHBgbCwMNasWZPn+Jo1a2jfvuBdqtu1a5ev/OrVqwkPD8dgMBRa5sY6O3TowPHjx/OUOXHiBDVr1rxt3EJUWuf3wted4PCvardYjw/UBfdKYwZVQDN4Yok65d2zhjoodc598Ne4nMHJd8CUqa7um3wBvOvCoG9LdU0WYRvJWclM3T2VQcsHsfXCVvR2ep5q9BR/PPgHg+sPRm93m1bMuj3UZRiyr8GuWeqxLZ+qrUjBnSC4Y+l/iMIENFVnuCmWfKuEF+rEX3A1Eowe0Pyx0otPC+Uh4VOKae/evcq///5rff7bb78p/fv3V8aNG6dkZmYWq66FCxcqBoNB+f7775UjR44oo0ePVlxcXJSoqChFURTlzTffVIYOHWotf+bMGcXZ2Vl59dVXlSNHjijff/+9YjAYlCVLlljLbNu2TbG3t1c++ugj5ejRo8pHH32k6PV6ZceOHdYyu3btUvR6vTJp0iTl5MmTys8//6w4OzsrP/30U5FjT0pKUgAlKSmpWJ9ZiArFlKUoZ3coyprxivJ+FUUZ764onzdWlHO7yi6GjGRFWf6yeu7x7oryZZiiRO8pWV0Wi6Isf0mt579BinL5pG1jFTZnMpuUX47/onRa0Elp/GNjpfGPjZWX1r6kRCVFFb+yg0vUn/3kGopy6aiivO+tPo/aZvvASyJ6txrP+1UU5UoRP9/sfup7Vr9burHdRYrz/V3sJCk8PNyalJw+fVoxGo3Ko48+qtSpU0cZNWpUsYP96quvlJo1ayoODg5Ky5YtlU2bNllfGzZsmNKlS5c85Tdu3Ki0aNFCcXBwUIKDg5WZM2fmq3Px4sVK/fr1FYPBoDRo0EBZunRpvjK///670rhxY8XR0VFp0KCBMmvWrGLFLUmSuCuZTYpyYZ+ibJ2mKPMGKcqHAdeTk/HuirLoSUVJu6pNbCdWK8rH9dQ4JngpyrqJipJdvD/MlJ2zct7vqSgn1pROnMJmdsXsUgYtH2RNjh5Y9oCy9fzWkldoNinKtObq70Du79KP99suYFuY01+N6/fRty978cD1fw+J0aUe2t2iON/fxV4nycPDg3/++YfatWszZcoU1q9fz99//822bdt45JFHKs2AZlknSdwVFAXiT8CZTep2F1Fbc7bPuIGzt9odEfoANBqo7biNtCvqat0HcyaH+DeBB78p2pTnyM0wd4C6wGOPD6DDqFINVZTcxdSLfLrnU1afXQ2Am4MbLzZ/kcH1B2OwM9xZ5XvnwO83bPj7zN+lshZPiZ3dDrP7qOsEjTqgrkZ9K7+NVFd/bzQQHp5ddjFWcMX5/i72VBRFUbDkTMdbu3Yt992nrocSFBRknYYvhCjHrkapCUPuLfVS3tcd3NQFHUO6qLN9fEPLx9gAUHd3H/Sduqr1H69C7EH4pos66LbDqFuPLboaBb8MUxOkJoOh/SsFlxOaSstOY/bh2cw+NJtMcyZ2OjseqvsQL7Z4Mf82IiXV7BHYOBlSYtQ908pTggTqqu01O8DZberedn0+KrhcyqXrfyy0e7Hs4qtkip0khYeH8+GHH3LvvfeyadMm67T5yMjIW85KE0JoLPWyumDesd/VQdA30hvVL4qQzmpiFNDcdttnlJZGA9Qp3b+PghOrYN37cHyVur7KzSsqZ6bCgsfUPdcCW8ADX2rbGibyURSFVZGr+GzvZ1xKU5P2Vv6tGNtqLPWr1LftyfSO0PcTdX2s3vl3digXOr8O87apS210GlPw5Ig936uDzqu3gurhZR5iZVHs/wm/+OILHn/8cX777Tfefvtt6tSpA8CSJUtuOStNCKGRrDR1V/Ot0yArZ60hOz1UC1eTolpd1P9k9Y7axlkSbn7qWir758Nfb6ords/soHaltXpObf2yWOC3F9QtQ1x81Y1qDU5aRy5ucDjhMFN2TWFf3D4AqrlW4//C/497a9xb6Jp5d6ThfbdfFV5Ltbqq/0Yv7FHXderxQd7XszNgd85mvBV98chyzmZ7t2VkZGBvb2+din+3kzFJolyzmNXkYcMktVsB1BaiLmPV5MjRVdPwbC4xGpa/qI6rArVFrP9XcGCBeg3sHWDYH1CjjbZxCqu4tDj+t+9/LD+1HAUFJ70TzzV5jidDn8SoN96+grvd8b9gwRB1g+TRB9Wu5lz/zFMXQnWvro5bKu8tv+VMqY5JuhWj8fovtXKbVbOFEKVEUeDUWljzHsQdUY951oDu49XBneVlbJGteQapG5Pu+R5Wv6smSzPaQlaq+nq/zyRBKifSTen8ePhHZh+aTbpJXfPqvlr3MbrlaPxcZMiGVb1e6sSE2IPqYpH3vK0eV5QbFo/8jyRIpaxI/2M2bNiQ+fPnk5WVVWi5kydP8sILLzBlSuXZO0iIcuPifpjbH35+SE2QjJ7qhqsv7VG33LhbE6RcuRu+vrANqre+niC1GQEth2obm8CiWPj99O/ct+w+ZuyfQbopnWZVm/FT35+Y3GmyJEg30+mur8K98xt1tXtQ/wCIOwwGZ2j5pHbxVRJFSkG/+uorxo4dy4svvkjPnj0JDw8nMDAQo9HI1atXOXLkiHUft5deeomRI6WPVIgyk3gO1n8I/y5Sn9s7QJvn1U09nby0jU0L3rXhmb9gzw9wLR46v6Z1RJXentg9fLznY44kqK2b1VyrMTpsNL1q9pJeh8I0uB+qNoDLx9RVwju/fr0VqfnjlfPfdxkr1pik7du3s2jRIjZv3kxUVBTp6en4+PjQokULevXqxRNPPIGnp2cphlt+yJgkobn0q+r2BTu/AXOmeqzJYLjnHfCSLXaE9s4ln+PzvZ+z9txaAFwMLvyn6X94vOHjONpXwMkCWvh3Mfz6HDhVUTeS/iZnE96X9oJPHU1Dq6iK8/1ts4HblY0kSUIzpkzY/R1smnp94ceQzuoMmMAWmoYmBEBSZhKz/p3F/GPzMVlM1vWORjYfibeTt9bhVSwWM0xvBVdOg6s/pMaqe7w9tkjryCosTQZuCyFKWfpVOPoHbP4YEs+qx3xD1eSozr2y9o/QXLYlm8XHFzPzwEwSMxMB6FCtA6+FvUYdL2n1KBE7e3WtpOUvqgkSQNsXtI2pEpEkSYjyLPEcHFsJx/+EqG3qitGg/kV5z9vquATZwV5oTFEUNp/fzCd7PiEqOQqAOp51+L/w/6NjtY7aBnc3aDoENk6BpHPg20hd4kKUCUmShChPFAVi/1UTo2N/wqWDeV/3baTOVGvzPDi4aBOjEDkUReGfuH+YeWAmO2N2AlDFWIUXm7/IwLoD0dvJV4xN2BvU1cH/HAP3TpBW4zIkv8FCaM2cre7TdGwlHF8JSTdsEq2zgxrtoUFfqN8XqoRoF6cQOWJSY1hxegXLTy8nOkX9fTXYGRgaOpTnmjyHm4ObxhHehcr7KuF3KUmShCgORVH3S8pOUx/bG8DOoG71YWdf9L/wMlPURR+P/QknV19fAwXU9U9q3wMN+kHdXuAiA12F9tJN6aw9u5blp5ezK2YXCuqcH2e9M71DejO8yXCqu1XXOEohbKtESdLp06eZPXs2p0+fZtq0afj6+vLXX38RFBREo0aNbB2jEKXj31/U1Wyz08GUrt7feCvoWHYaUMiEUDtDTuKkV2/WJMo+7+P4E2qylcvZB+r3UROjWl1lfzFRLiiKwr64fSw/vZy/o/7mWvY162tt/NvQv05/utfojrPBWcMohSg9xU6SNm3aRJ8+fejQoQObN29m0qRJ+Pr68u+///Ldd9+xZMmS0ohTCNu68A/8Otz29Vqy1VtRVKmtJkUN+qmbzMoAbFFOxKTG8PuZ31l+ajnnUs5Zj1dzrUb/Ov15oPYDVHOtpmGEQpSNYidJb775Jh9++CFjxozBze16v3O3bt2YNm2aTYMTotQcWa7e+zdV90gyOKndXHqjem/IvXcCvVPO6zcd0+nAYlLHFN14b8kGs+mGx7nHc8tkg0cN8KkrAzBFuZFuSmfduXUsP7WcnTE7rd1pTnonetbsyYA6A2jp1xI73V2+vY0QNyh2knTw4EHmz5+f73jVqlVJSEiwSVBClCpFgaMr1McdR0PjQSWvy94gXWOiQjNbzHx38DtmH56dpzutlX8r+tfuT4+aPaQ7TVRaxU6SPD09iYmJISQk7yybffv2Ua2aNL+KCiDuCFw5A/aOULen1tEIoZmE9ATe3PImO2J2ADndabX7c3/t+2UQthCUIEl67LHHGDt2LIsXL0an02GxWNi2bRuvvfYaTz4pOxKLCuBITitS7XvAUaYqi8pp76W9vLHpDeLS43DSO/F2m7e5v/b90p0mxA2KnSRNmjSJp556imrVqqEoCqGhoZjNZh577DHeeeed0ohRCNs6+rt6H/qAtnEIoQFFUZh9eDZf/vMlZsVMLY9afNrlU9k2RIgClHiD29OnT7Nv3z4sFgstWrSgbt26to6tXJMNbiuohNPwv5bq9PzXToJzFa0jEqLMJGUm8c7Wd9h4fiMA/Wr1472278mYI1GplMkGt7Vr16Z27dolfbsQ2sgdsB3cSRIkUakcij/Ea5te40LqBQx2Bt5s/SYP13sYncywFOKWip0kKYrCkiVL2LBhA3FxcVgsljyv//rrrzYLTgibyx2P1PB+beMQoowoisLC4wv5ePfHZFuyqe5anU+7fkqod6jWoQlR7hU7SRo1ahSzZs2iW7du+Pn5yV8houJIjIaL/wA6aCB7IIm737Xsa7y//X1WRa0C4J6ge5jYcSLuDjJEQIiiKHaS9NNPP/Hrr7/St2/f0ohHiNJz7A/1vkZbcPPTNhYhStmJqyf4v43/R1RyFHqdntFho3ky9En5w1aIYih2kuTh4UGtWrVKIxYhSlfurLaGMqtN3N1+O/Ubk3ZMIsOcgZ+zH590+YTmvs21DkuICqfYC2JMmDCB999/n/T09NKIR4jSkRoHZ7erjxtKV5u4O6Wb0nlv23u8u+1dMswZdAjswOL7F0uCJEQJFbsl6eGHH2bBggX4+voSHByMwWDI8/o///xjs+CEsJljfwIKBLYAzxpaRyOEzZgsJi6mXuRM0hm+3PclJ6+exE5nx8hmIxnedLgsDinEHSh2kvTUU0+xd+9ennjiCRm4LSqOozKrTRRNhimD7w99z9nkswyoM4B2Ae00/39OURSuZl7lbPJZopKiiEyO5GzSWaKSoziXcg6TxWQtW8VYhamdp9ImoI2GEQtxdyh2kvTnn3/y999/07Fjx9KIRwjbS78KkZvVxw37axuLKNd2xOzgg4gPiE6JBmBV5CqC3YN5pMEjPFD7AdwcSncbG5PFRGRSJFHJUUQlRan3OY+Ts5Jv+T4HOwdquNegkXcjXmn5Cr7OvqUapxCVRbGTpKCgIFlhWlQsx/8CiwmqNgQf2XpB5JeYkcjHez5mxWm1xdHX2ZdO1TrxV9RfRCVH8dGuj5j2zzQeqP0Aj9R/xKZbeKRlpxFxMYL10evZdH4TSZlJtyzr7+JPsHuwevO4fh/gEiDdakKUgmJvS/Lnn3/yv//9j6+//prg4OBSCqv8k21JKpAFj8HxP6HLWOj2ltbRiHJEURRWRq5k6u6pXMm4gg4djzR4hFdavIKrgyvXsq/xx+k/WHBsAaeTTlvf18q/FY/Uf4RuNbphsDMUcoaCXcm4wqboTaw/t56ImAgyzZnW11wMLoS4hxDsEUxN95oEewQT4h5CDfcaOOmdbPK5hajMivP9XewkycvLi7S0NEwmE87OzvkGbl+5cqX4EVdAkiRVEJmp8HFtMGXAiK3g30TriEQ5cSH1AhN3TGTbhW0A1PGsw/h24wucCaYoCnsu7WHBsQWsP7ces2IG1BanwfUGM6jeIHycfAo9X3RyNOuj17P+3Hr2X96PRbm+W0E112rcU+Me7gm6h+a+zdHblXjHKCHEbZTq3m1ffPFFSeMSouydWqMmSF4h4NdY62hEOWCymPj56M98tf8r0k3pGOwMPN/0eZ5p/AwG+4JbhXQ6Ha38W9HKvxWx12JZfGIxS04sIS4tjun7p/P1v1/Ts2ZPHm3wKM2qNkOn06EoCkeuHGH9OTUxOpV4Kk+dDas0VBOjGvdQ17Ou5oPDhRD5FbslSaikJamCWPw0HP4V2r8CPSdqHY3Q2NGEo0yImMCRhCMAhPuF81679wjxCCl2XVnmLFafXc2CYwv49/K/1uMNqzSkkU8jtpzfwqW0S9bj9jp7wv3DuSfoHroFdSPANeDOP5AQoths3t2WnJxsrSg5+dYzLIBKkzBIklQBZGeoXW1ZqfDcOqgernVEQiPppnRm7p/J3CNzMStm3Bzc+L+w/+PBug/aZMDz4YTDLDy2kFWRq/KML3LSO9GxWke6BXWjc/XOeDh63PG5hBB3xuZJkr29PTExMfj6+mJnZ1dgs7CiKOh0Osxmc8kjr0AkSaoAjq+CBY+AWyC8ehjsZPZPZbT94nY+iPiAC6kXAOgV3Is3W7952zFEJZGYkcjy08uJvRZLu8B2tAlog6O9o83PI4QoOZuPSVq/fj1VqlQBYMOGDXceoRBlwbpX2/2SIFVCVzOu8vHuj/n9jPp74Ofsx7tt36VLUJdSO6en0ZNhjYaVWv1CiLJVpCSpS5fr/6mEhIQQFBSUrzVJURSio6NtG50QJWXOztmKBFlluxJae3YtE3dMtE7rf6zhY7zc4mVcDC5ahyaEqECKPbstJCTE2vV2oytXrhASElJputtEORe1FTISwdkHarbXOhpRRhIzEvnvrv+yKnIVoE7rf7/9+zSt2lTjyIQQFVGxk6TcsUc3S01NxWg02iQoIe5Ybldbg75gZ69tLKJMbDi3gfcj3ichIwF7nT3PNH6GEc1G4GDvoHVoQogKqshJ0pgxYwB1vZB3330XZ2dn62tms5mdO3fSvHlzmwcoRLFZLHDsD/Wx7NV210vKTGLq7qnWLUVqedRiUsdJNPaRdbGEEHemyEnSvn37ALUl6eDBgzg4XP/rzMHBgWbNmvHaa6/ZPkIhiuv8Lki9BI4eENJZ62hEKdpyfgsTtk8gLj0OO50dwxoN48XmL8qMMiGETRQ5Scqd1fb0008zbdo0mfYuyq8jaosC9XuDXrpa7kYpWSl8sucTfj35KwDB7sFM7DCxwC1FhBCipIo9Jmn27NmlEYcQtqEoeaf+i7vO9ovbGb99PLHXYtGhY2joUF5u8TJGvYyJFELYluaLx8yYMYOQkBCMRiNhYWFs2bKl0PKbNm0iLCwMo9FIrVq1+Prrr/OVWbp0KaGhoTg6OhIaGsqyZcvyvD5hwgR0Ol2em7+/v00/l9BIzH5IOgcGZ6jdXetohA1dy77GBxEf8Pya54m9FkuQWxCze8/m9VavS4IkhCgVmiZJixYtYvTo0bz99tvs27ePTp060adPH86dO1dg+cjISPr27UunTp3Yt28fb731Fq+88gpLly61lomIiGDIkCEMHTqUAwcOMHToUAYPHszOnTvz1NWoUSNiYmKst4MHD5bqZxVlJLcVqc694OBceFlRYeyM2cnA5QNZfGIxAI81eIwl9y8hzC9M48iEEHczTTe4bdOmDS1btmTmzJnWYw0bNmTAgAFMnjw5X/mxY8eyYsUKjh49aj02YsQIDhw4QEREBABDhgwhOTmZVatWWcv07t0bLy8vFixYAKgtSb/99hv79+8vceyyLUk5pCgwvRUknIRB30OTh7SOSNyhtOw0Pt/7OQuPLwSgmms1JnaYSCv/VhpHJoSoqIrz/a1ZS1JWVhZ79+6lZ8+eeY737NmT7du3F/ieiIiIfOV79erFnj17yM7OLrTMzXWePHmSwMBAQkJCeOSRRzhz5kyh8WZmZpKcnJznJsqZy8fVBMneAer2vH15US4pisK+uH18uONDei3tZU2QBtcbzK8P/CoJkhCizBR74LatxMfHYzab8fPzy3Pcz8+P2NjYAt8TGxtbYHmTyUR8fDwBAQG3LHNjnW3atGHu3LnUq1ePS5cu8eGHH9K+fXsOHz6Mt7d3geeePHky77//fkk+qigrR3NmtdXqBkZp3atoziSe4Y8zf7AycqV1M1qAQJdAxrcfT/tAWTldCFG2NEuSchW0B1xBK3oXVv7m47ers0+fPtbHTZo0oV27dtSuXZs5c+ZYF8282bhx4/K8lpycTFBQ0C3jFBrITZJkVluFEZcWx6rIVfx55k+OXrneje6sd+bemvfSL6QfrQNao7fT/L8qIUQlpNn/PD4+Ptjb2+drNYqLi8vXEpTL39+/wPJ6vd7aAnSrMreqE8DFxYUmTZpw8uTJW5ZxdHTE0VEWqCu3rkRC7EHQ2UP9vlpHIwqRmpXK2nNr+ePMH+yK2YWC+oeOXqenQ7UO9KvVj65BXXHSO2kcqRCistMsSXJwcCAsLIw1a9bw4IMPWo+vWbOG/v0L3kqiXbt2/P7773mOrV69mvDwcAwGg7XMmjVrePXVV/OUad/+1k31mZmZHD16lE6dOt3JRxJayp3VFtwBXAruMhXayTZns+XCFv488yebzm8i05xpfa151ebcV+s+egb3xMvopWGUQgiRl6Zt2GPGjGHo0KGEh4fTrl07Zs2axblz5xgxYgSgdnFduHCBuXPnAupMtunTpzNmzBiGDx9OREQE33//vXXWGsCoUaPo3LkzU6ZMoX///ixfvpy1a9eydetWa5nXXnuN+++/nxo1ahAXF8eHH35IcnIyw4YNK9sLIGzH2tX2gLZxCCyKhQspFziZeJLTiac5efUk22O2k5SZZC0T4hHCfbXuo29IX6q7VdcwWiGEuDVNk6QhQ4aQkJDABx98QExMDI0bN2blypXUrFkTgJiYmDxrJoWEhLBy5UpeffVVvvrqKwIDA/nyyy8ZNGiQtUz79u1ZuHAh77zzDu+++y61a9dm0aJFtGnTxlrm/PnzPProo8THx1O1alXatm3Ljh07rOcVFUzyRTi/W33c4D5tY6lEFEUh9lospxJP5bmdSTxDhjkjX/mqTlXpE9KHfrX60bBKw0LHHgohRHmg6TpJFZmsk1SO7JwFq16HoDbw7Gqto7krXcm4wvErxzmdeNqaDJ1OPE1qdmqB5R3sHKjlWYs6nnWo7VmbJj5NCPcLx97OvowjF0KIvIrz/S1TRkTFJ7PabCrdlM6xK8f49/K/HIo/xMH4g3mm5N9Ir9MT7BFMbc/a1PGsY71Vd6suM9KEEBWe/C8mKrZr8XB2m/pYkqRiM1vMnEk6w6H4Q/wbryZFJ6+exKyY85Wt4VaDul51qe1Zm7qedanjWYea7jUx2Bs0iFwIIUqfJEmiYju+EhQL+DcFr2CtoynXFEXhUtolDsYfVG+XD3I44TDppvR8ZX2cfGji00S9VW1CI+9GuDm4aRC1EEJoR5IkUbEdyelqC5VZbTdTFIXzqefZHbvberuUdilfOSe9E419GtPYp7E1MfJz9pOB1UKISk+SJKG9tCuQdB6yUiHr2g33OY8zb3pufZwCl46odcjUfwAupF5gV8wu9lzaw67YXcRey7uwqr3OnrpedWns05imPk1p7NOYWh61ZEC1EEIUQJIkoa2rZ+GrNlBAl0+RBbaEqvVtF1MFEpMaw67YXdaWoovXLuZ5Xa/T06SqOrOsdUBrmvo0xdngrFG0QghRsUiSJLR17A81QTI4g1sAOLiAo5t6b7253nDvmve4oyv4Ndb6U5SZ+PR4Ii5GWJOi86nn87yu1+lp5NOI1v6tCfcPp3nV5pIUCSFECUmSJLR1co163+1taP+StrGUY0cSjjDvyDz+ivwLk2KyHrfX2dPIuxGt/FvRyr8VLXxbSFIkhBA2IkmS0E7WtevT9+v20DaWcsiiWNh8fjNzj8xld+xu6/FQ71DaBLShlV8rWvq1xMXgomGUQghx95IkSWgnaiuYs8CjBvjU0zqaciPdlM7vp39n3pF5RCVHAWo3Wq+QXgwNHUoj70baBiiEEJWEJElCO7ldbXW6g0w353LaZRYcW8AvJ36xbgbrZnDjofoP8ViDx/B38dc4QiGEqFwkSRLaUBQ4lZMkVfKutuNXjjPvyDxWRq4k25INQHXX6jwR+gQP1nlQxhgJIYRGJEkS2rhyBq5GgZ0BQjprHU2ZsygWtl3Yxtwjc9kRs8N6vIVvC54MfZJuQd1k7SIhhNCYJElCG7ldbTXaqlP+KwBFUTiZeJKIixHsjNlJUmYSeju99WawM+R5rtflfS33dYB159ZxJukMoM5Q61GzB0NDh9K0alMtP6IQQogbSJIktFFButoup11mR8wOIi5GEBETQXx6vM3qdjG4MKjuIB5v+DiBroE2q1cIIYRtSJIkyl52ujqzDaBO+UqS0k3p7L20l4iLEWy/uJ1TiafyvG60NxLmH0b7gPYEuQVhUkxkm7MxKSZMFvWWbcm2PjZZTNbXbiwX4hFC/9r9cXVw1eiTCiGEuB1JkkTZi9oGpgxwrwa+DTUNxaJYOHrlqNpSdDGCfXH7rIOnAXToaOjdkPaB7WkX0I7mvs1xsHfQMGIhhBBlRZIkUfZOaTf1Py07jSMJRzgUf4h/4/9ld+xuEjMT85QJcAmgXWA72gW2o41/G7yMXmUaoxBCiPJBkiRR9qzrI5VuV5vJYuJ04mkOxh+0JkWnE09jUSx5yrkYXGjl34p2Ae1oH9iemu410cm6TUIIUelJkiTK1pUzcOU02OmhVlebVasoChevXeTg5YPWpOhIwhEyzBn5yvo6+9LEpwlNfJrQwrcFTao2wWBnsFksQggh7g6SJImydWqdeh/UFozuJa7GbDFzOOEwO2J2cODyAQ7FH+JKxpV85VwNrjTyaUQTnyY09mlMY+/G+Ln4lfi8QgghKg9JkkTZunErkmI6n3KeiJgI6zpFyVnJeV7X2+mp71Wfxj6NrS1FwR7B2OnsbBG5EEKISkaSJFF2sjMgcrP6uAjrI6VkpbArdpd15tm5lHN5XnczuNEmoA3h/uE08WlC/Sr1cbR3LI3IhRBCVEKSJImyc247mNLB1R/8Gud72WQxcSj+kHWNooPxBzErZuvr9jp7mlVtRtvAtrQPbE8j70bWFayFEEIIW5NvGFF2Tq5V7+vcCzodiqJwJukMu2N3syNmB7tidpGSnZLnLcHuwbQNUJOiVv6tZPFFIYQQZUaSJFFmLKdWc9JgYI+7K3s3jmHvpb35Blt7OHrQxr+NunhjYDvZrkMIIYRmJEkSpcZsMXP86nH2xO5hz/kt/OOcRpJbAESvtJYx2htpVrUZrQNa0z6wPQ2rNMTezl7DqIUQQgiVJEnCZkwWE0cTjrLn0h72XNrDvkv78naf2dvjpOhoUa0d4X7hhPuH09i7MQZ7WaNICCFE+SNJkiiyLHMWl9MvczntMnFpcVxOz7lPu0xsWiyH4w+TZkrL8x5XgystfFsQHnuC8OgDNGz/GoYuYzX6BEIIIUTRSZJUySmKQkp2CokZiVzNvEp8enyeJOhy2mXi0tVE6OY9zgri7uBOS7+W1paiBl4NsLeYYEoIZGdB3V6l/6GEEEIIG5Ak6S6TYcrgcvpla9KTmJnI1YyrJGUmqc9zjidlJlmPmxRTket3sHOgqnNVfJ198XHywdfZl6pO6vN6XvWo61U3/+KNUVsh+xq4+IJ/Uxt/YiGEEKJ0SJJ0F4lKimLIH0PydXkVhbPeGU9HT3ycfKjqXNWa+FR1roqvk681MXJ3cC/+5q+nblhl205WvxZCCFExSJJ0F9kZs5M0Uxp6Oz2+Tr54OHrgZfTC09ETL6OX+tzRC0+jp3rv6KnejJ6lu1L1jesjCSGEEBWEJEl3kcjkSACGNhzKmPAxGkeTI+k8XD4KOjuofY/W0QghhBBFJn0fd5HIJDVJCvEI0TiSG5zKaUWqFg7OVbSNRQghhCgGSZLuImeSzgDlLEk6mTseSbrahBBCVCySJN0l0rLTiL0WC6j7nZUL5mw4s0l9XFeSJCGEEBWLJEl3iajkKACqGKvgafTUNBar6J2QlQLO3hDQQutohBBCiGKRJOkukTseqdy0IsH1rrbaMvVfCCFExSPfXHeJcj1ou24PbeMQQgghSkCSpLtEuUuSkmPg0iFAp7YkCSGEEBWMJEl3idw1kspNkmSd+t8SXLy1jUUIIYQoAUmS7gJmi5mzSWcBqOVRS+NocpySqf9CCCEqNkmS7gIXr10ky5KFo70jAS4BWocDZhOc3qg+riPjkYQQQlRMkiTdBXLHI9V0r4m9nb3G0QDnd0NmEjh5qd1tQgghRAUkSdJdoNwN2s7taqt9D5SHpE0IIYQoAc2TpBkzZhASEoLRaCQsLIwtW7YUWn7Tpk2EhYVhNBqpVasWX3/9db4yS5cuJTQ0FEdHR0JDQ1m2bNkt65s8eTI6nY7Ro0ff6UfRTLlLkqxbkUhXmxBCiIpL0yRp0aJFjB49mrfffpt9+/bRqVMn+vTpw7lz5wosHxkZSd++fenUqRP79u3jrbfe4pVXXmHp0qXWMhEREQwZMoShQ4dy4MABhg4dyuDBg9m5c2e++nbv3s2sWbNo2rRpqX3GsmBNktzLQZKUcgli/1Uf15Gp/0IIISouTZOkzz77jGeffZbnnnuOhg0b8sUXXxAUFMTMmTMLLP/1119To0YNvvjiCxo2bMhzzz3HM888wyeffGIt88UXX9CjRw/GjRtHgwYNGDduHN27d+eLL77IU1dqaiqPP/443377LV5eXqX5MUtduWpJOr1OvQ9oDq6+moYihBBC3AnNkqSsrCz27t1Lz5498xzv2bMn27dvL/A9ERER+cr36tWLPXv2kJ2dXWiZm+t88cUX6devH/feW7Qp6pmZmSQnJ+e5lQdXM65yNfMqoA7c1txJmfovhBDi7qBZkhQfH4/ZbMbPzy/PcT8/P2JjYwt8T2xsbIHlTSYT8fHxhZa5sc6FCxfyzz//MHny5CLHO3nyZDw8PKy3oKCgIr+3NOVubBvgEoCzwVnbYCxmOL1efSxbkQghhKjgNB+4rdPp8jxXFCXfsduVv/l4YXVGR0czatQofvrpJ4xGY5HjHDduHElJSdZbdHR0kd9bmspVV9uFvZCRCEYPqBaudTRCCCHEHdFrdWIfHx/s7e3ztRrFxcXlawnK5e/vX2B5vV6Pt7d3oWVy69y7dy9xcXGEhYVZXzebzWzevJnp06eTmZmJvX3+aeuOjo44OjoW/4OWstwkqVystH3yhqn/9pr9agkhhBA2oVlLkoODA2FhYaxZsybP8TVr1tC+ffsC39OuXbt85VevXk14eDgGg6HQMrl1du/enYMHD7J//37rLTw8nMcff5z9+/cXmCCVZ+WqJUm2IhFCCHEX0fTP/TFjxjB06FDCw8Np164ds2bN4ty5c4wYMQJQu7guXLjA3LlzARgxYgTTp09nzJgxDB8+nIiICL7//nsWLFhgrXPUqFF07tyZKVOm0L9/f5YvX87atWvZunUrAG5ubjRu3DhPHC4uLnh7e+c7XhGUmyQp9TJc3Kc+liRJCCHEXUDTJGnIkCEkJCTwwQcfEBMTQ+PGjVm5ciU1a6qztGJiYvKsmRQSEsLKlSt59dVX+eqrrwgMDOTLL79k0KBB1jLt27dn4cKFvPPOO7z77rvUrl2bRYsW0aZNmzL/fKUt05zJ+dTzQDlIknIHbPs3ATd/bWMRQgghbECn5I58FsWSnJyMh4cHSUlJuLu7axLDyasnGbhiIG4GN7Y9uq3QAe+lbulzcHAxdHwV7p2gXRxCCCFEIYrz/a357DZRcjd2tWmaIFnMcCpnEUnZikQIIcRdQpKkCiw3SQr2CNYuiLPb4aeBkH4FHN0hqLV2sQghhBA2JPO0K7DIZI0GbSsKRG2BTVPVewA7PdzzLtgbyjYWIYQQopRIklSBlfnMNkWBMxvU5OhchHrMzgAtnlDHInmVg21RhBBCCBuRJKmCUhSl7JIkRYFTa2HTFDi/Wz1m7wgtn4SOo8GjeumeXwghhNCAJEkV1KW0S6Sb0tHr9AS5ldI+cooCJ/5Sk6PcNZD0Rgh/Btq/Au4BpXNeIYQQohyQJKmCym1FCnIPwmBn43FAFgsc+wM2T4XYg+oxgzO0ehbavQxuBW8bI4QQQtxNJEmqoM4knQEgxN2GXW0WMxxZDps/hrgj6jEHV2g9HNq9BC4+tjuXEEIIUc5JklRB2Xw8UsJpWPTE9eTI0R3aPA9tR4JzFducQwghhKhAJEmqoKKSogAbJUmXDsPcAXAtDoweamLU5nlw8rrzuoUQQogKSpKkCspmLUnn96qLQWYkgl8TGLoMXKveeYBCCCFEBSdJUgWUmpVKXHoccIerbUdtg/mDISsVqreCxxdL65EQQgiRQ5KkCigqOQoAHycf3B1KuLnuybXqGCRTOgR3gkcXgqOr7YIUQgghKjhJkiqgO+5qO7IcljwLlmyo2wsGzwGDkw0jFEIIkctsNpOdna11GJWGwWDA3t7eJnVJklQBWZOkkkz/P7AQfnsBFAs0ehAenAV6BxtHKIQQQlEUYmNjSUxM1DqUSsfT0xN/f390Ot0d1SNJUgVU4pak3d/Bn/+nPm7+BDzwJdjZJtsWQgiRV26C5Ovri7Oz8x1/YYvbUxSFtLQ04uLUcbsBAXe2M4QkSRVQbpJUy6NW0d+0bRqseU993Pp56P0R2NmVQnRCCCHMZrM1QfL29tY6nErFyUkdPhIXF4evr+8ddb1JklTBmCwmzqacBYrYkqQosOG/6hYjAJ3+D+55F+QvGiGEKDW5Y5CcnZ01jqRyyr3u2dnZkiRVJudTzmOymHDSO+Hncps91BQF/n4LdsxQn3d/T02ShBBClAnpYtOGra67JEkVTG5XW7B7MHa6QrrLLGb4YzT8M1d93udjaPOf0g9QCCGEuEvIoJQKJjI5J0kqbBFJczb8OlxNkHR20H+GJEhCCCHuWFRUFDqdjv3795f6uX788Uc8PT1L/TyFkSSpgrntzLbsDPjlSTi0FOz08NAP0OLxMoxQCCGEuHNDhgzhxIkTmsYg3W0VTKFJUnYGLBgCZzaCvSMMmQf1epVtgEIIIYQNODk5WWeqaUVakioQRVEKX0gyYrqaIBlc4IklkiAJIUQ5oigKaVkmTW6KohQrVovFwpQpU6hTpw6Ojo7UqFGDSZMm5StnNpt59tlnCQkJwcnJifr16zNt2rQ8ZTZu3Ejr1q1xcXHB09OTDh06cPasOkv7wIEDdOvWDTc3N9zd3QkLC2PPnj1Awd1tK1asIDw8HKPRiI+PDwMHDizW5youaUmqQK5kXCE5KxkdOmq618z74rUEdS0kgPs+h5DOZR+gEEKIW0rPNhP63t+anPvIB71wdij6V/64ceP49ttv+fzzz+nYsSMxMTEcO3YsXzmLxUL16tX55Zdf8PHxYfv27fznP/8hICCAwYMHYzKZGDBgAMOHD2fBggVkZWWxa9cu6+yzxx9/nBYtWjBz5kzs7e3Zv38/BoOhwJj+/PNPBg4cyNtvv828efPIysrizz//LNkFKSJJkiqQ3FakQNdAjHpj3he3fAqZyeDfBJo8rEF0Qggh7gYpKSlMmzaN6dOnM2zYMABq165Nx44diYqKylPWYDDw/vvvW5+HhISwfft2fvnlFwYPHkxycjJJSUncd9991K5dG4CGDRtay587d47XX3+dBg0aAFC3bt1bxjVp0iQeeeSRPOdr1qzZHX/ewkiSVIHkzmzLt9L21bOw+1v18b3vy0raQghRDjkZ7DnygTbDIJwMRV9Q8ejRo2RmZtK9e/cilf/666/57rvvOHv2LOnp6WRlZdG8eXMAqlSpwlNPPUWvXr3o0aMH9957L4MHD7ZuFzJmzBiee+455s2bx7333svDDz9sTaZutn//foYPH17kz2EL8m1agZxJPAMUMGh7w3/BnAUhXaD2PRpEJoQQ4nZ0Oh3ODnpNbsVZXLE4g6V/+eUXXn31VZ555hlWr17N/v37efrpp8nKyrKWmT17NhEREbRv355FixZRr149duzYAcCECRM4fPgw/fr1Y/369YSGhrJs2bI7jstWJEmqQHJbkvIkSbEH4d9F6uN7J8h2I0IIIe5I3bp1cXJyYt26dbctu2XLFtq3b8/IkSNp0aIFderU4fTp0/nKtWjRgnHjxrF9+3YaN27M/Pnzra/Vq1ePV199ldWrVzNw4EBmz55d4LmaNm1apJhsSbrbKpCopCjgpiRp7fuAAo0GQrWWmsQlhBDi7mE0Ghk7dixvvPEGDg4OdOjQgcuXL3P48OF8XXB16tRh7ty5/P3334SEhDBv3jx2795NSIj6PRUZGcmsWbN44IEHCAwM5Pjx45w4cYInn3yS9PR0Xn/9dR566CFCQkI4f/48u3fvZtCgQQXGNX78eLp3707t2rV55JFHMJlMrFq1ijfeeKPUroUkSRVEuimdi6kXgRuSpMjNcGqNumjkPe9oGJ0QQoi7ybvvvoter+e9997j4sWLBAQEMGLEiHzlRowYwf79+xkyZAg6nY5HH32UkSNHsmrVKkDdaPbYsWPMmTOHhIQEAgICeOmll3j++ecxmUwkJCTw5JNPcunSJeuU/hsHZt+oa9euLF68mIkTJ/LRRx/h7u5O586lO5NbpxR38QQBQHJyMh4eHiQlJeHu7l7q5zt+5TgP/f4QHo4ebBmyBR3At/fAxX+g1XDo90mpxyCEEKJoMjIyiIyMJCQkBKPRePs3CJsq7PoX5/tbxiRVEDcuIqnT6eDIb2qCZHCBLqXX1CiEEEJUVpIkVRB5tiMxZ8O6D9QX2r8Mrr4aRiaEEELcnSRJqiDyJEn/zIErZ8ClKrR/SePIhBBCiLuTJEkVhHX6v7M/bJyiHuwyFhzdNIxKCCGEuHtJklQBWBTL9en/Z7bBtTjwCoGWw7QNTAghhLiLSZJUAcRciyHDnIHBzkC1XTmLbHV/F/QO2gYmhBBC3MUkSaoAcscj1dQ5os9KhYDmEPqgtkEJIYQQdzlJkioA66Dt5MvqgR6yia0QQghR2uSbtgLITZKCs7PUDWxrddU2ICGEEKISkCSpAoi8fBCAkKxsdRNbIYQQQpQ6SZIqgMirJwGoVbMLBDTTOBohhBCicpAkqZxLOv4nCZgBCO76rsbRCCGEqAwsFgtTpkyhTp06ODo6UqNGDSZNmsTGjRvR6XQkJiZay+7fvx+dTkdUVBRJSUk4OTnx119/5anv119/xcXFhdTUVLKysnjppZcICAjAaDQSHBzM5MmTy/gTFo1e6wBEISwWojb9FxzB186Ii28jrSMSQghRUooC2WnanNvgDDpdkYuPGzeOb7/9ls8//5yOHTsSExPDsWPHbvs+Dw8P+vXrx88//0zv3r2tx+fPn0///v1xdXXlk08+YcWKFfzyyy/UqFGD6OhooqOjS/SxSpskSeXZkWXqSttVvQnxCdU6GiGEEHciOw3+G6jNud+6CA4uRSqakpLCtGnTmD59OsOGqYsW165dm44dO7Jx48bbvv/xxx/nySefJC0tDWdnZ5KTk/nzzz9ZunQpAOfOnaNu3bp07NgRnU5HzZo1S/yxSpvm3W0zZswgJCQEo9FIWFgYW7ZsKbT8pk2bCAsLw2g0UqtWLb7++ut8ZZYuXUpoaCiOjo6EhoaybNmyPK/PnDmTpk2b4u7ujru7O+3atWPVqlU2/Vx3zJQF6z4g0qDmsSFe9TQOSAghRGVw9OhRMjMz6d69e4ne369fP/R6PStWrADU72Q3Nzd69uwJwFNPPcX+/fupX78+r7zyCqtXr7ZZ7LamaUvSokWLGD16NDNmzKBDhw5888039OnThyNHjlCjRo185SMjI+nbty/Dhw/np59+Ytu2bYwcOZKqVasyaNAgACIiIhgyZAgTJ07kwQcfZNmyZQwePJitW7fSpk0bAKpXr85HH31EnTp1AJgzZw79+/dn3759NGpUTrq09v4IV6M4E1gNgFqetbSNRwghxJ0xOKstOlqdu4icnJxu+Zpdzhp9iqJYj2VnZ+cp4+DgwEMPPcT8+fN55JFHmD9/PkOGDEGvV1OOli1bEhkZyapVq1i7di2DBw/m3nvvZcmSJcX5RGVD0VDr1q2VESNG5DnWoEED5c033yyw/BtvvKE0aNAgz7Hnn39eadu2rfX54MGDld69e+cp06tXL+WRRx4pNBYvLy/lu+++K3LsSUlJCqAkJSUV+T1FlpGsKFNqKcp4d+W++R2Vxj82ViIuRtj+PEIIIUpFenq6cuTIESU9PV3rUIotPT1dcXJyUr799tt8rx05ckQBlMOHD1uPzZo1SwGUyMhI67ENGzYoBoNBOXTokGJvb69ERNz6O+yvv/5SACUhIcGmn+FW178439+adbdlZWWxd+9ea/Nbrp49e7J9+/YC3xMREZGvfK9evdizZ481k71VmVvVaTabWbhwIdeuXaNdu3a3jDczM5Pk5OQ8t1KzfTqkxZNdJYTo7BQAQtxDSu98QgghRA6j0cjYsWN54403mDt3LqdPn2bHjh18//331KlTh6CgICZMmMCJEyf4888/+fTTT/PV0aVLF/z8/Hj88ccJDg6mbdu21tc+//xzFi5cyLFjxzhx4gSLFy/G398fT0/PMvyURaNZkhQfH4/ZbMbPzy/PcT8/P2JjYwt8T2xsbIHlTSYT8fHxhZa5uc6DBw/i6uqKo6MjI0aMYNmyZYSG3npw9OTJk/Hw8LDegoKCivxZiyU1Drb/D4Do9iMxK2ac9c74OvuWzvmEEEKIm7z77rv83//9H++99x4NGzZkyJAhxMXFYTAYWLBgAceOHaNZs2ZMmTKFDz/8MN/7dTodjz76KAcOHODxxx/P85qrqytTpkwhPDycVq1aERUVxcqVK61deeWJ5rPbdDdNSVQUJd+x25W/+XhR6qxfvz779+8nMTGRpUuXMmzYMDZt2nTLRGncuHGMGTPG+jw5Obl0EqVd30L2NQhsSWRVdRxSiEdIoddECCGEsCU7Ozvefvtt3n777XyvdejQgX///TfPMeWGMUq5pk6dytSpU/MdHz58OMOHD7ddsKVIsyTJx8cHe3v7fC08cXFx+VqCcvn7+xdYXq/X4+3tXWiZm+t0cHCwDtwODw9n9+7dTJs2jW+++abAczs6OuLo6Fj0D1hSXd4ANz/wDSUy+QigJklCCCGEKFuatW05ODgQFhbGmjVr8hxfs2YN7du3L/A97dq1y1d+9erVhIeHYzAYCi1zqzpzKYpCZmZmcT+G7dkboNVzULO9dWNbSZKEEEKIsqdpd9uYMWMYOnQo4eHhtGvXjlmzZnHu3DlGjBgBqF1cFy5cYO7cuQCMGDGC6dOnM2bMGIYPH05ERATff/89CxYssNY5atQoOnfuzJQpU+jfvz/Lly9n7dq1bN261Vrmrbfeok+fPgQFBZGSksLChQvZuHFjvmXUtSZJkhBCCKEdTZOkIUOGkJCQwAcffEBMTAyNGzdm5cqV1tU3Y2JiOHfunLV8SEgIK1eu5NVXX+Wrr74iMDCQL7/80rpGEkD79u1ZuHAh77zzDu+++y61a9dm0aJF1jWSAC5dusTQoUOJiYnBw8ODpk2b8tdff9GjR4+y+/C3oSjK9SRJZrYJIYQQZU6nFDTaStxWcnIyHh4eJCUl4e7ubvP6L6dd5p7F92Cns2P347txsHew+TmEEEKUjoyMDCIjI607SoiyVdj1L873d/mbbycAOJN0BoAgtyBJkIQQQggNSJJUTklXmxBCCKEtSZLKKRm0LYQQQmhLkqRySpIkIYQQQluSJJVTkcmSJAkhhLh7PfXUUwwYMEDrMAolSVI5lJadRuw1ddXwYPdgbYMRQghRqXTt2pXRo0drHUa5IElSORSVHAVAFWMVPI2emsYihBBCFFdWVpbWIdiEJEnlUO54JGlFEkIIUZaeeuopNm3axLRp09DpdOh0OqKioti0aROtW7fG0dGRgIAA3nzzTUwmk/V9Xbt25aWXXmLMmDH4+PhYF2c+fPgw/fr1w93dHTc3Nzp16sTp06fznPOTTz4hICAAb29vXnzxRbKzs8v0MxdG0xW3RcFk0LYQQtx9FEUh3ZSuybmd9E7odLrblps2bRonTpygcePGfPDBBwCYzWb69u3LU089xdy5czl27BjDhw/HaDQyYcIE63vnzJnDCy+8wLZt21AUhQsXLtC5c2e6du3K+vXrcXd3Z9u2bXmSqw0bNhAQEMCGDRs4deoUQ4YMoXnz5gwfPtzm16AkJEkqhyRJEkKIu0+6KZ0289vcvmAp2PnYTpwNzrct5+HhgYODA87Ozvj7+wPw9ttvExQUxPTp09HpdDRo0ICLFy8yduxY3nvvPezs1E6pOnXqMHXqVGtdb731Fh4eHixcuNC6CX29evXynM/Ly4vp06djb29PgwYN6NevH+vWrSs3SZJ0t5VDuattS5IkhBBCa0ePHqVdu3Z5WqI6dOhAamoq58+ftx4LDw/P8779+/fTqVMna4JUkEaNGmFvb299HhAQQFxcnA2jvzPSklTOmC1mziafBaCWRy2NoxFCCGErTnondj62U7Nzl5SiKPm66nK3fb3xuIuLS95zOt3+nDcnUDqdDovFUtJQbU6SpHLmYupFsi3ZONo7EuASoHU4QgghbESn0xWpy0trDg4OmM1m6/PQ0FCWLl2aJ1navn07bm5uVKtW7Zb1NG3alDlz5pCdnV1oa1J5Jt1t5UzuIpI13Wtib2d/m9JCCCGEbQUHB7Nz506ioqKIj49n5MiRREdH8/LLL3Ps2DGWL1/O+PHjGTNmjHU8UkFeeuklkpOTeeSRR9izZw8nT55k3rx5HD9+vAw/zZ2RJKmcScpMwsXgIuORhBBCaOK1117D3t6e0NBQqlatSnZ2NitXrmTXrl00a9aMESNG8Oyzz/LOO+8UWo+3tzfr168nNTWVLl26EBYWxrfffluhWpV0Sm7HoiiW5ORkPDw8SEpKwt3d3aZ1504TrQjNskIIIfLLyMggMjKSkJAQjEaj1uFUOoVd/+J8f0tLUjlUUfqthRBCiLuZJElCCCGEEAWQJEkIIYQQogCSJAkhhBBCFECSJCGEEEKIAkiSJIQQQpQSmUCuDVtdd0mShBBCCBvLXQsoLS1N40gqp9zrfqdrMsm2JEIIIYSN2dvb4+npad2s1dnZOd/+Z8L2FEUhLS2NuLg4PD0982yeWxKSJAkhhBClwN/fH6Bc7WpfWXh6elqv/52QJEkIIYQoBTqdjoCAAHx9fcnOztY6nErDYDDccQtSLkmShBBCiFJkb29vsy9tUbZk4LYQQgghRAEkSRJCCCGEKIAkSUIIIYQQBZAxSSWUu1BVcnKyxpEIIYQQoqhyv7eLsuCkJEkllJKSAkBQUJDGkQghhBCiuFJSUvDw8Ci0jE6RNdNLxGKxcPHiRdzc3Gy+QFhycjJBQUFER0fj7u5u07rvNnKtik6uVdHJtSo6uVZFJ9eqeErreimKQkpKCoGBgdjZFT7qSFqSSsjOzo7q1auX6jnc3d3lH1IRybUqOrlWRSfXqujkWhWdXKviKY3rdbsWpFwycFsIIYQQogCSJAkhhBBCFECSpHLI0dGR8ePH4+joqHUo5Z5cq6KTa1V0cq2KTq5V0cm1Kp7ycL1k4LYQQgghRAGkJUkIIYQQogCSJAkhhBBCFECSJCGEEEKIAkiSJIQQQghRAEmSypkZM2YQEhKC0WgkLCyMLVu2aB1SuTNhwgR0Ol2em7+/v9ZhlRubN2/m/vvvJzAwEJ1Ox2+//ZbndUVRmDBhAoGBgTg5OdG1a1cOHz6sTbAau921euqpp/L9rrVt21abYDU0efJkWrVqhZubG76+vgwYMIDjx4/nKSO/V9cV5XrJ75Zq5syZNG3a1LpgZLt27Vi1apX1da1/ryRJKkcWLVrE6NGjefvtt9m3bx+dOnWiT58+nDt3TuvQyp1GjRoRExNjvR08eFDrkMqNa9eu0axZM6ZPn17g61OnTuWzzz5j+vTp7N69G39/f3r06GHdj7Ayud21Aujdu3ee37WVK1eWYYTlw6ZNm3jxxRfZsWMHa9aswWQy0bNnT65du2YtI79X1xXleoH8bgFUr16djz76iD179rBnzx7uuece+vfvb02ENP+9UkS50bp1a2XEiBF5jjVo0EB58803NYqofBo/frzSrFkzrcOoEABl2bL/b+/+Y6Ku/ziAP0/gzhMQjOg4CC5KUZzoZkw8aSG5XaM53NzaZW3RUssSnUGlphSNLKyIzOVqR+MoM7dSXD/+KFI418zCgjwRHcUZ/AFDHSlTu5vH6/uHXz568gGZEJ+P8/nYPtt93p/35/157bXXxmufz+eOWmW/v79fEhISpLy8XBn7999/JSYmRj766CMNItSP63MlIlJQUCBLlizRJB496+npEQDi8XhEhHV1I9fnS4S1NZwpU6ZIVVWVLuqKd5J0IhAI4LfffoPD4QgZdzgcOHTokEZR6VdbWxsSExORmpqKxx57DO3t7VqHdEvw+Xzo7u4OqTOTyYScnBzW2RAaGhpw1113IS0tDStXrkRPT4/WIWnu3LlzAIA77rgDAOvqRq7P1wDWVqhgMIjdu3fjwoULsNvtuqgrNkk6cebMGQSDQVgslpBxi8WC7u5ujaLSp6ysLHz66af4/vvv4XK50N3djQULFuDs2bNah6Z7A7XEOhuZvLw8fP755zhw4AAqKirQ2NiIhx56CH6/X+vQNCMiKCoqwgMPPIBZs2YBYF0NRy1fAGvrWl6vF1FRUTCZTFi1ahVqa2sxc+ZMXdRV+LhchUbMYDCE7IvIoLHbXV5envI5IyMDdrsd9913H2pqalBUVKRhZLcO1tnIOJ1O5fOsWbOQmZkJm82G7777DkuXLtUwMu0UFhbi6NGj+OmnnwYdY10NNlS+WFtXTZ8+Hc3Nzfjnn3+wZ88eFBQUwOPxKMe1rCveSdKJO++8E2FhYYO6456enkFdNIWKjIxERkYG2tratA5F9wa+Bcg6uzlWqxU2m+22rbU1a9bg66+/Rn19Pe6++25lnHWlbqh8qbmda8toNGLq1KnIzMzEW2+9hTlz5mDbtm26qCs2STphNBpx//33o66uLmS8rq4OCxYs0CiqW4Pf70drayusVqvWoeheamoqEhISQuosEAjA4/Gwzkbg7Nmz6OzsvO1qTURQWFiIvXv34sCBA0hNTQ05zroKdaN8qblda0uNiMDv9+ujrsbl9XAakd27d0tERIR88skncvz4cVm3bp1ERkbKqVOntA5NV4qLi6WhoUHa29vl8OHDsnjxYomOjmae/q+vr0+ampqkqalJAMh7770nTU1N8vfff4uISHl5ucTExMjevXvF6/XKsmXLxGq1yvnz5zWOfPwNl6u+vj4pLi6WQ4cOic/nk/r6erHb7ZKUlHTb5eq5556TmJgYaWhokK6uLmW7ePGiMod1ddWN8sXaumrjxo1y8OBB8fl8cvToUXnllVdkwoQJ8sMPP4iI9nXFJklnPvzwQ7HZbGI0GmXu3LkhXxmlK5xOp1itVomIiJDExERZunSptLS0aB2WbtTX1wuAQVtBQYGIXPm69muvvSYJCQliMpnkwQcfFK/Xq23QGhkuVxcvXhSHwyHx8fESEREhKSkpUlBQIB0dHVqHPe7UcgRAqqurlTmsq6tulC/W1lVPP/208jcvPj5eFi1apDRIItrXlUFEZHzuWRERERHdOvhOEhEREZEKNklEREREKtgkEREREalgk0RERESkgk0SERERkQo2SUREREQq2CQRERERqWCTRES6snDhQqxbt27cr3vq1CkYDAY0NzeP2Zr33HMP3n///TFbj4jGV7jWARARjbWGhgbk5uait7cXsbGxmsXR2NiIyMhIza5PRKPDJomI6D8SHx+vdQhENAp83EZEunP58mUUFhYiNjYWcXFx2Lx5M679D0o7d+5EZmYmoqOjkZCQgMcffxw9PT0Arjw2y83NBQBMmTIFBoMBTz31FACgv78fW7duxdSpU2EymZCSkoItW7aEXLu9vR25ubmYNGkS5syZg59//nnYWEtLS5GSkgKTyYTExESsXbtWOXbt4za32w2DwTBoKy0tVeZXV1cjPT0dEydOxIwZM7Bjx46bTSERjQE2SUSkOzU1NQgPD8cvv/yCDz74AJWVlaiqqlKOBwIBlJWV4Y8//sC+ffvg8/mURig5ORl79uwBAJw8eRJdXV3Ytm0bAGDjxo3YunUrSkpKcPz4cezatQsWiyXk2ps2bcKLL76I5uZmpKWlYdmyZbh8+bJqnF999RUqKyvx8ccfo62tDfv27UNGRobqXKfTia6uLmX74osvEB4ejuzsbACAy+XCpk2bsGXLFrS2tuLNN99ESUkJampqRpVLIhqFcftXukREI5CTkyPp6enS39+vjK1fv17S09OHPOfXX38VANLX1yciIvX19QJAent7lTnnz58Xk8kkLpdLdQ2fzycApKqqShlraWkRANLa2qp6TkVFhaSlpUkgEFA9brPZpLKyctD4n3/+KXFxcfL2228rY8nJybJr166QeWVlZWK321XXJqL/Hu8kEZHuzJ8/HwaDQdm32+1oa2tDMBgEADQ1NWHJkiWw2WyIjo7GwoULAQAdHR1Drtna2gq/349FixYNe+3Zs2crn61WKwAoj/Ku9+ijj+LSpUu49957sXLlStTW1g5512nAuXPnsHjxYuTl5eGll14CAJw+fRqdnZ1Yvnw5oqKilO2NN97AX3/9Nex6RPTf4YvbRHRLuXDhAhwOBxwOB3bu3In4+Hh0dHTg4YcfRiAQGPI8s9k8ovUjIiKUzwONWn9/v+rc5ORknDx5EnV1dfjxxx/x/PPP45133oHH4wlZZ0AwGITT6cTkyZPhcrmU8YH1XS4XsrKyQs4JCwsbUdxENPbYJBGR7hw+fHjQ/rRp0xAWFoYTJ07gzJkzKC8vR3JyMgDgyJEjIfONRiMAKHeeAGDatGkwm83Yv38/VqxYMWaxms1m5OfnIz8/H6tXr8aMGTPg9Xoxd+7cQXNfeOEFeL1eNDY2YuLEicq4xWJBUlIS2tvb8cQTT4xZbEQ0OmySiEh3Ojs7UVRUhGeffRa///47tm/fjoqKCgBASkoKjEYjtm/fjlWrVuHYsWMoKysLOd9ms8FgMODbb7/FI488ArPZjKioKKxfvx4vv/wyjEYjsrOzcfr0abS0tGD58uU3Fafb7UYwGERWVhYmTZqEzz77DGazGTabbdDc6upq7NixA7W1tZgwYQK6u7sBQHm0VlpairVr12Ly5MnIy8uD3+/HkSNH0Nvbi6KiopuKj4hGh+8kEZHuPPnkk7h06RLmzZuH1atXY82aNXjmmWcAXPntIbfbjS+//BIzZ85EeXk53n333ZDzk5KS8Prrr2PDhg2wWCwoLCwEAJSUlKC4uBivvvoq0tPT4XQ6h3zfaCRiY2PhcrmQnZ2N2bNnY//+/fjmm28QFxc3aK7H40EwGER+fj6sVquyDcS+YsUKVFVVwe12IyMjAzk5OXC73UhNTb3p+IhodAwi1/z4CBEREREB4J0kIiIiIlVskoiIiIhUsEkiIiIiUsEmiYiIiEgFmyQiIiIiFWySiIiIiFSwSSIiIiJSwSaJiIiISAWbJCIiIiIVbJKIiIiIVLBJIiIiIlLBJomIiIhIxf8A8snSjbdYZMwAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_results(d=1024, nb=1000_000, k=16)"
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "a386b5f4-6006-4139-9300-b11cec1301a6",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_results(d=1024, nb=1000_000, k=256)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "10309afb-8a56-4d87-adb0-5edc6a04719c",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.12.8"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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