LETOR.ipynb

{
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   "cell_type": "markdown",
   "id": "9fcff7f9-3c5a-4b90-afa4-efe649b29701",
   "metadata": {},
   "source": [
    "# LETOR - Learning to Rank\n",
    "\n",
    "* https://www.microsoft.com/en-us/research/project/letor-learning-rank-information-retrieval/#!letor-4-0\n",
    "\n",
    "* https://en.wikipedia.org/wiki/Learning_to_rank"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "03a950e2-9d51-4d1e-b9f7-7bf62f852277",
   "metadata": {},
   "source": [
    "## Parsing MQ2008-list\n",
    "\n",
    "Example record:\n",
    "```\n",
    "1170 qid:18219 1:0.027615 2:0.500000 3:0.750000 4:0.333333 5:0.035088 6:0.000000 7:0.000000 8:0.000000 9:0.000000 10:0.000000 11:0.024910 12:0.500000 13:0.740506 14:0.333333 15:0.031157 16:0.004013 17:0.074468 18:0.071429 19:0.115385 20:0.004139 21:0.985944 22:0.948778 23:0.826873 24:0.929893 25:0.929240 26:1.000000 27:0.723020 28:0.965879 29:1.000000 30:0.991936 31:0.818145 32:1.000000 33:0.857037 34:0.818537 35:0.468642 36:0.897924 37:0.996184 38:0.971101 39:0.863078 40:0.941432 41:0.222222 42:0.082873 43:0.000000 44:0.002255 45:0.010291 46:0.046400 #docid = GX004-93-7097963 inc = 0.0428115405134536 prob = 0.860366\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "e3eee471-19d2-44ec-98c5-528c83478f4c",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pickle\n",
    "\n",
    "class Data:\n",
    "    def __init__(self):       \n",
    "        self.queries = {}\n",
    "        self.data = np.empty((0, 46), float)\n",
    "        \n",
    "    def load_data(self):\n",
    "        with open(\"MQ2008-list/Fold1/test.txt\") as f:\n",
    "            for id, line in enumerate(f):\n",
    "                if id > 10000:\n",
    "                    return\n",
    "                features, properties = line.split(\" #\")\n",
    "                rank, qid, *features_details = features.split()\n",
    "                qid_label = qid.split(\":\")[1]\n",
    "                row = np.zeros(46)\n",
    "                for feature in features_details:\n",
    "                    key, value = feature.split(\":\")\n",
    "                    row[int(key)-1] = float(value)\n",
    "                self.data = np.vstack((self.data, row))\n",
    "                query_list = self.queries.get(qid_label, [])\n",
    "                query_list.append(id)\n",
    "                self.queries[qid_label] = query_list\n",
    "                \n",
    "    def serialize(self):\n",
    "        with open(\"data.pkl\", \"wb\") as f:\n",
    "            pickle.dump(self, f)\n",
    "       \n",
    "    @staticmethod\n",
    "    def deserialize():\n",
    "        with open(\"data.pkl\", \"rb\") as f:\n",
    "            return pickle.load(f)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "9060e94f-b5af-4647-96b8-1fbda994d7b7",
   "metadata": {},
   "outputs": [],
   "source": [
    "data = Data()\n",
    "data.load_data()\n",
    "data.serialize()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "f4593ff5-9207-4971-b70b-fd1e476f3e2b",
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    {
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       "array([[2.76150e-02, 5.00000e-01, 7.50000e-01, ..., 2.25500e-03,\n",
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       "       [3.43100e-02, 3.75000e-01, 2.50000e-01, ..., 2.57000e-04,\n",
       "        1.08960e-02, 4.80000e-02],\n",
       "       ...,\n",
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     "execution_count": 4,
     "metadata": {},
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    "data.data"
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   "cell_type": "code",
   "execution_count": 26,
   "id": "b2ff96a5-db59-415e-ba13-dcec30fdc242",
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       "\n",
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       "9999   0.0  0.000033  0.007853  0.00000  \n",
       "10000  0.0  0.000069  0.002618  0.00000  \n",
       "\n",
       "[10001 rows x 46 columns]"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "pd.DataFrame(data.data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "435a9b3e-925f-44de-b4ba-3e062a70c956",
   "metadata": {
    "collapsed": true,
    "jupyter": {
     "outputs_hidden": true
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
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       "  869,\n",
       "  870,\n",
       "  871,\n",
       "  872,\n",
       "  873,\n",
       "  874,\n",
       "  875,\n",
       "  876,\n",
       "  877,\n",
       "  878,\n",
       "  879,\n",
       "  880,\n",
       "  881,\n",
       "  882,\n",
       "  883,\n",
       "  884,\n",
       "  885,\n",
       "  886,\n",
       "  887,\n",
       "  888,\n",
       "  889,\n",
       "  890,\n",
       "  891,\n",
       "  892,\n",
       "  893,\n",
       "  894,\n",
       "  895,\n",
       "  896,\n",
       "  897,\n",
       "  898,\n",
       "  899,\n",
       "  900,\n",
       "  901,\n",
       "  902,\n",
       "  903,\n",
       "  904,\n",
       "  905,\n",
       "  906,\n",
       "  907,\n",
       "  908,\n",
       "  909,\n",
       "  910,\n",
       "  911,\n",
       "  912,\n",
       "  913,\n",
       "  914,\n",
       "  915,\n",
       "  916,\n",
       "  917,\n",
       "  918,\n",
       "  919,\n",
       "  920,\n",
       "  921,\n",
       "  922,\n",
       "  923,\n",
       "  924,\n",
       "  925,\n",
       "  926,\n",
       "  927,\n",
       "  928,\n",
       "  929,\n",
       "  930,\n",
       "  931,\n",
       "  932,\n",
       "  933,\n",
       "  934,\n",
       "  935,\n",
       "  936,\n",
       "  937,\n",
       "  938,\n",
       "  939,\n",
       "  940,\n",
       "  941,\n",
       "  942,\n",
       "  943,\n",
       "  944,\n",
       "  945,\n",
       "  946,\n",
       "  947,\n",
       "  948,\n",
       "  949,\n",
       "  950,\n",
       "  951,\n",
       "  952,\n",
       "  953,\n",
       "  954,\n",
       "  955,\n",
       "  956,\n",
       "  957,\n",
       "  958,\n",
       "  959,\n",
       "  960,\n",
       "  961,\n",
       "  962,\n",
       "  963,\n",
       "  964,\n",
       "  965,\n",
       "  966,\n",
       "  967,\n",
       "  968,\n",
       "  969,\n",
       "  970,\n",
       "  971,\n",
       "  972,\n",
       "  973,\n",
       "  974,\n",
       "  975,\n",
       "  976,\n",
       "  977,\n",
       "  978,\n",
       "  979,\n",
       "  980,\n",
       "  981,\n",
       "  982,\n",
       "  983,\n",
       "  984,\n",
       "  985,\n",
       "  986,\n",
       "  987,\n",
       "  988,\n",
       "  989,\n",
       "  990,\n",
       "  991,\n",
       "  992,\n",
       "  993,\n",
       "  994,\n",
       "  995,\n",
       "  996,\n",
       "  997,\n",
       "  998,\n",
       "  999,\n",
       "  ...],\n",
       " '18230': [1170,\n",
       "  1171,\n",
       "  1172,\n",
       "  1173,\n",
       "  1174,\n",
       "  1175,\n",
       "  1176,\n",
       "  1177,\n",
       "  1178,\n",
       "  1179,\n",
       "  1180,\n",
       "  1181,\n",
       "  1182,\n",
       "  1183,\n",
       "  1184,\n",
       "  1185,\n",
       "  1186,\n",
       "  1187,\n",
       "  1188,\n",
       "  1189,\n",
       "  1190,\n",
       "  1191,\n",
       "  1192,\n",
       "  1193,\n",
       "  1194,\n",
       "  1195,\n",
       "  1196,\n",
       "  1197,\n",
       "  1198,\n",
       "  1199,\n",
       "  1200,\n",
       "  1201,\n",
       "  1202,\n",
       "  1203,\n",
       "  1204,\n",
       "  1205,\n",
       "  1206,\n",
       "  1207,\n",
       "  1208,\n",
       "  1209,\n",
       "  1210,\n",
       "  1211,\n",
       "  1212,\n",
       "  1213,\n",
       "  1214,\n",
       "  1215,\n",
       "  1216,\n",
       "  1217,\n",
       "  1218,\n",
       "  1219,\n",
       "  1220,\n",
       "  1221,\n",
       "  1222,\n",
       "  1223,\n",
       "  1224,\n",
       "  1225,\n",
       "  1226,\n",
       "  1227,\n",
       "  1228,\n",
       "  1229,\n",
       "  1230,\n",
       "  1231,\n",
       "  1232,\n",
       "  1233,\n",
       "  1234,\n",
       "  1235,\n",
       "  1236,\n",
       "  1237,\n",
       "  1238,\n",
       "  1239,\n",
       "  1240,\n",
       "  1241,\n",
       "  1242,\n",
       "  1243,\n",
       "  1244,\n",
       "  1245,\n",
       "  1246,\n",
       "  1247,\n",
       "  1248,\n",
       "  1249,\n",
       "  1250,\n",
       "  1251,\n",
       "  1252,\n",
       "  1253,\n",
       "  1254,\n",
       "  1255,\n",
       "  1256,\n",
       "  1257,\n",
       "  1258,\n",
       "  1259,\n",
       "  1260,\n",
       "  1261,\n",
       "  1262,\n",
       "  1263,\n",
       "  1264,\n",
       "  1265,\n",
       "  1266,\n",
       "  1267,\n",
       "  1268,\n",
       "  1269,\n",
       "  1270,\n",
       "  1271,\n",
       "  1272,\n",
       "  1273,\n",
       "  1274,\n",
       "  1275,\n",
       "  1276,\n",
       "  1277,\n",
       "  1278,\n",
       "  1279,\n",
       "  1280,\n",
       "  1281,\n",
       "  1282,\n",
       "  1283,\n",
       "  1284,\n",
       "  1285,\n",
       "  1286,\n",
       "  1287,\n",
       "  1288,\n",
       "  1289,\n",
       "  1290,\n",
       "  1291,\n",
       "  1292,\n",
       "  1293,\n",
       "  1294,\n",
       "  1295,\n",
       "  1296,\n",
       "  1297,\n",
       "  1298,\n",
       "  1299,\n",
       "  1300,\n",
       "  1301,\n",
       "  1302,\n",
       "  1303,\n",
       "  1304,\n",
       "  1305,\n",
       "  1306,\n",
       "  1307,\n",
       "  1308,\n",
       "  1309,\n",
       "  1310,\n",
       "  1311,\n",
       "  1312,\n",
       "  1313,\n",
       "  1314,\n",
       "  1315,\n",
       "  1316,\n",
       "  1317,\n",
       "  1318,\n",
       "  1319,\n",
       "  1320,\n",
       "  1321,\n",
       "  1322,\n",
       "  1323,\n",
       "  1324,\n",
       "  1325,\n",
       "  1326,\n",
       "  1327,\n",
       "  1328,\n",
       "  1329,\n",
       "  1330,\n",
       "  1331,\n",
       "  1332,\n",
       "  1333,\n",
       "  1334,\n",
       "  1335,\n",
       "  1336,\n",
       "  1337,\n",
       "  1338,\n",
       "  1339,\n",
       "  1340,\n",
       "  1341,\n",
       "  1342,\n",
       "  1343,\n",
       "  1344,\n",
       "  1345,\n",
       "  1346,\n",
       "  1347,\n",
       "  1348,\n",
       "  1349,\n",
       "  1350,\n",
       "  1351,\n",
       "  1352,\n",
       "  1353,\n",
       "  1354,\n",
       "  1355,\n",
       "  1356,\n",
       "  1357,\n",
       "  1358,\n",
       "  1359,\n",
       "  1360,\n",
       "  1361,\n",
       "  1362,\n",
       "  1363,\n",
       "  1364,\n",
       "  1365,\n",
       "  1366,\n",
       "  1367,\n",
       "  1368,\n",
       "  1369,\n",
       "  1370,\n",
       "  1371,\n",
       "  1372,\n",
       "  1373,\n",
       "  1374,\n",
       "  1375,\n",
       "  1376,\n",
       "  1377,\n",
       "  1378,\n",
       "  1379,\n",
       "  1380,\n",
       "  1381,\n",
       "  1382,\n",
       "  1383,\n",
       "  1384,\n",
       "  1385,\n",
       "  1386,\n",
       "  1387,\n",
       "  1388,\n",
       "  1389,\n",
       "  1390,\n",
       "  1391,\n",
       "  1392,\n",
       "  1393,\n",
       "  1394,\n",
       "  1395,\n",
       "  1396,\n",
       "  1397,\n",
       "  1398,\n",
       "  1399,\n",
       "  1400,\n",
       "  1401,\n",
       "  1402,\n",
       "  1403,\n",
       "  1404,\n",
       "  1405,\n",
       "  1406,\n",
       "  1407,\n",
       "  1408,\n",
       "  1409,\n",
       "  1410,\n",
       "  1411,\n",
       "  1412,\n",
       "  1413,\n",
       "  1414,\n",
       "  1415,\n",
       "  1416,\n",
       "  1417,\n",
       "  1418,\n",
       "  1419,\n",
       "  1420,\n",
       "  1421,\n",
       "  1422,\n",
       "  1423,\n",
       "  1424,\n",
       "  1425,\n",
       "  1426,\n",
       "  1427,\n",
       "  1428,\n",
       "  1429,\n",
       "  1430,\n",
       "  1431,\n",
       "  1432,\n",
       "  1433,\n",
       "  1434,\n",
       "  1435,\n",
       "  1436,\n",
       "  1437,\n",
       "  1438,\n",
       "  1439,\n",
       "  1440,\n",
       "  1441,\n",
       "  1442,\n",
       "  1443,\n",
       "  1444,\n",
       "  1445,\n",
       "  1446,\n",
       "  1447,\n",
       "  1448,\n",
       "  1449,\n",
       "  1450,\n",
       "  1451,\n",
       "  1452,\n",
       "  1453,\n",
       "  1454,\n",
       "  1455,\n",
       "  1456,\n",
       "  1457,\n",
       "  1458,\n",
       "  1459,\n",
       "  1460,\n",
       "  1461,\n",
       "  1462,\n",
       "  1463,\n",
       "  1464,\n",
       "  1465,\n",
       "  1466,\n",
       "  1467,\n",
       "  1468,\n",
       "  1469,\n",
       "  1470,\n",
       "  1471,\n",
       "  1472,\n",
       "  1473,\n",
       "  1474,\n",
       "  1475,\n",
       "  1476,\n",
       "  1477,\n",
       "  1478,\n",
       "  1479,\n",
       "  1480,\n",
       "  1481,\n",
       "  1482,\n",
       "  1483,\n",
       "  1484,\n",
       "  1485,\n",
       "  1486,\n",
       "  1487,\n",
       "  1488,\n",
       "  1489,\n",
       "  1490,\n",
       "  1491,\n",
       "  1492,\n",
       "  1493,\n",
       "  1494,\n",
       "  1495,\n",
       "  1496,\n",
       "  1497,\n",
       "  1498,\n",
       "  1499,\n",
       "  1500,\n",
       "  1501,\n",
       "  1502,\n",
       "  1503,\n",
       "  1504,\n",
       "  1505,\n",
       "  1506,\n",
       "  1507,\n",
       "  1508,\n",
       "  1509,\n",
       "  1510,\n",
       "  1511,\n",
       "  1512,\n",
       "  1513,\n",
       "  1514,\n",
       "  1515,\n",
       "  1516,\n",
       "  1517,\n",
       "  1518,\n",
       "  1519,\n",
       "  1520,\n",
       "  1521,\n",
       "  1522,\n",
       "  1523,\n",
       "  1524,\n",
       "  1525,\n",
       "  1526,\n",
       "  1527,\n",
       "  1528,\n",
       "  1529,\n",
       "  1530,\n",
       "  1531,\n",
       "  1532,\n",
       "  1533,\n",
       "  1534,\n",
       "  1535,\n",
       "  1536,\n",
       "  1537,\n",
       "  1538,\n",
       "  1539,\n",
       "  1540,\n",
       "  1541,\n",
       "  1542,\n",
       "  1543,\n",
       "  1544,\n",
       "  1545,\n",
       "  1546,\n",
       "  1547,\n",
       "  1548,\n",
       "  1549,\n",
       "  1550,\n",
       "  1551,\n",
       "  1552,\n",
       "  1553,\n",
       "  1554,\n",
       "  1555,\n",
       "  1556,\n",
       "  1557,\n",
       "  1558,\n",
       "  1559,\n",
       "  1560,\n",
       "  1561,\n",
       "  1562,\n",
       "  1563,\n",
       "  1564,\n",
       "  1565,\n",
       "  1566,\n",
       "  1567,\n",
       "  1568,\n",
       "  1569,\n",
       "  1570,\n",
       "  1571,\n",
       "  1572,\n",
       "  1573,\n",
       "  1574,\n",
       "  1575,\n",
       "  1576,\n",
       "  1577,\n",
       "  1578,\n",
       "  1579,\n",
       "  1580,\n",
       "  1581,\n",
       "  1582,\n",
       "  1583,\n",
       "  1584,\n",
       "  1585,\n",
       "  1586,\n",
       "  1587,\n",
       "  1588,\n",
       "  1589,\n",
       "  1590,\n",
       "  1591,\n",
       "  1592,\n",
       "  1593,\n",
       "  1594,\n",
       "  1595,\n",
       "  1596,\n",
       "  1597,\n",
       "  1598,\n",
       "  1599,\n",
       "  1600,\n",
       "  1601,\n",
       "  1602,\n",
       "  1603,\n",
       "  1604,\n",
       "  1605,\n",
       "  1606,\n",
       "  1607,\n",
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       "  1609,\n",
       "  1610,\n",
       "  1611,\n",
       "  1612,\n",
       "  1613,\n",
       "  1614,\n",
       "  1615,\n",
       "  1616,\n",
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       "  1619,\n",
       "  1620,\n",
       "  1621,\n",
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       "  1624,\n",
       "  1625,\n",
       "  1626,\n",
       "  1627,\n",
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       "  1629,\n",
       "  1630,\n",
       "  1631,\n",
       "  1632,\n",
       "  1633,\n",
       "  1634,\n",
       "  1635,\n",
       "  1636,\n",
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       "  1638,\n",
       "  1639,\n",
       "  1640,\n",
       "  1641,\n",
       "  1642,\n",
       "  1643,\n",
       "  1644,\n",
       "  1645,\n",
       "  1646,\n",
       "  1647,\n",
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       "  1650,\n",
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       "  1652,\n",
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       "  1655,\n",
       "  1656,\n",
       "  1657,\n",
       "  1658,\n",
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       "  1660,\n",
       "  1661,\n",
       "  1662,\n",
       "  1663,\n",
       "  1664,\n",
       "  1665,\n",
       "  1666,\n",
       "  1667,\n",
       "  1668,\n",
       "  1669,\n",
       "  1670,\n",
       "  1671,\n",
       "  1672,\n",
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       "  1675,\n",
       "  1676,\n",
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       "  1678,\n",
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       "  1680,\n",
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       "  1684,\n",
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       "  1686,\n",
       "  1687,\n",
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       "  1690,\n",
       "  1691,\n",
       "  1692,\n",
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       "  1695,\n",
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       "  1699,\n",
       "  1700,\n",
       "  1701,\n",
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       "  1709,\n",
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       "  1711,\n",
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       "  1713,\n",
       "  1714,\n",
       "  1715,\n",
       "  1716,\n",
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       "  1718,\n",
       "  1719,\n",
       "  1720,\n",
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       "  1725,\n",
       "  1726,\n",
       "  1727,\n",
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       "  1729,\n",
       "  1730,\n",
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       "  1732,\n",
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       "  1734,\n",
       "  1735,\n",
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       "  1739,\n",
       "  1740,\n",
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       "  1742,\n",
       "  1743,\n",
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       "  1745,\n",
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       "  1747,\n",
       "  1748,\n",
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       "  1750,\n",
       "  1751,\n",
       "  1752,\n",
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       "  1754,\n",
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       "  1765,\n",
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       "  1770,\n",
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       "  1774,\n",
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       "  1778,\n",
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       "  1780,\n",
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       "  1782,\n",
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       "  1784,\n",
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       "  1794,\n",
       "  1795,\n",
       "  1796,\n",
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       "  1799,\n",
       "  1800,\n",
       "  1801,\n",
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       "  1803,\n",
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       "  1857,\n",
       "  1858,\n",
       "  1859,\n",
       "  1860,\n",
       "  1861,\n",
       "  1862,\n",
       "  1863,\n",
       "  1864,\n",
       "  1865,\n",
       "  1866,\n",
       "  1867,\n",
       "  1868,\n",
       "  1869,\n",
       "  1870,\n",
       "  1871,\n",
       "  1872,\n",
       "  1873,\n",
       "  1874,\n",
       "  1875,\n",
       "  1876,\n",
       "  1877,\n",
       "  1878,\n",
       "  1879,\n",
       "  1880,\n",
       "  1881,\n",
       "  1882,\n",
       "  1883,\n",
       "  1884,\n",
       "  1885,\n",
       "  1886,\n",
       "  1887,\n",
       "  1888,\n",
       "  1889,\n",
       "  1890,\n",
       "  1891,\n",
       "  1892,\n",
       "  1893,\n",
       "  1894,\n",
       "  1895,\n",
       "  1896,\n",
       "  1897,\n",
       "  1898,\n",
       "  1899,\n",
       "  1900,\n",
       "  1901,\n",
       "  1902,\n",
       "  1903,\n",
       "  1904,\n",
       "  1905,\n",
       "  1906,\n",
       "  1907,\n",
       "  1908,\n",
       "  1909,\n",
       "  1910,\n",
       "  1911,\n",
       "  1912,\n",
       "  1913,\n",
       "  1914,\n",
       "  1915,\n",
       "  1916,\n",
       "  1917,\n",
       "  1918,\n",
       "  1919,\n",
       "  1920,\n",
       "  1921,\n",
       "  1922,\n",
       "  1923,\n",
       "  1924,\n",
       "  1925,\n",
       "  1926,\n",
       "  1927,\n",
       "  1928,\n",
       "  1929,\n",
       "  1930,\n",
       "  1931,\n",
       "  1932,\n",
       "  1933,\n",
       "  1934,\n",
       "  1935,\n",
       "  1936,\n",
       "  1937,\n",
       "  1938,\n",
       "  1939,\n",
       "  1940,\n",
       "  1941,\n",
       "  1942,\n",
       "  1943,\n",
       "  1944,\n",
       "  1945,\n",
       "  1946,\n",
       "  1947,\n",
       "  1948,\n",
       "  1949,\n",
       "  1950,\n",
       "  1951,\n",
       "  1952,\n",
       "  1953,\n",
       "  1954,\n",
       "  1955,\n",
       "  1956,\n",
       "  1957,\n",
       "  1958,\n",
       "  1959,\n",
       "  1960,\n",
       "  1961,\n",
       "  1962,\n",
       "  1963,\n",
       "  1964,\n",
       "  1965,\n",
       "  1966,\n",
       "  1967,\n",
       "  1968,\n",
       "  1969,\n",
       "  1970,\n",
       "  1971,\n",
       "  1972,\n",
       "  1973,\n",
       "  1974,\n",
       "  1975,\n",
       "  1976,\n",
       "  1977,\n",
       "  1978,\n",
       "  1979,\n",
       "  1980,\n",
       "  1981,\n",
       "  1982,\n",
       "  1983,\n",
       "  1984,\n",
       "  1985,\n",
       "  1986,\n",
       "  1987,\n",
       "  1988,\n",
       "  1989,\n",
       "  1990,\n",
       "  1991,\n",
       "  1992,\n",
       "  1993,\n",
       "  1994,\n",
       "  1995,\n",
       "  1996,\n",
       "  1997,\n",
       "  1998,\n",
       "  1999,\n",
       "  2000,\n",
       "  2001,\n",
       "  2002,\n",
       "  2003,\n",
       "  2004,\n",
       "  2005,\n",
       "  2006,\n",
       "  2007,\n",
       "  2008,\n",
       "  2009,\n",
       "  2010,\n",
       "  2011,\n",
       "  2012,\n",
       "  2013,\n",
       "  2014,\n",
       "  2015,\n",
       "  2016,\n",
       "  2017,\n",
       "  2018,\n",
       "  2019,\n",
       "  2020,\n",
       "  2021,\n",
       "  2022,\n",
       "  2023,\n",
       "  2024,\n",
       "  2025,\n",
       "  2026,\n",
       "  2027,\n",
       "  2028,\n",
       "  2029,\n",
       "  2030,\n",
       "  2031,\n",
       "  2032,\n",
       "  2033,\n",
       "  2034,\n",
       "  2035,\n",
       "  2036,\n",
       "  2037,\n",
       "  2038,\n",
       "  2039,\n",
       "  2040,\n",
       "  2041,\n",
       "  2042,\n",
       "  2043,\n",
       "  2044,\n",
       "  2045,\n",
       "  2046,\n",
       "  2047,\n",
       "  2048,\n",
       "  2049,\n",
       "  2050,\n",
       "  2051,\n",
       "  2052,\n",
       "  2053,\n",
       "  2054,\n",
       "  2055,\n",
       "  2056,\n",
       "  2057,\n",
       "  2058,\n",
       "  2059,\n",
       "  2060,\n",
       "  2061,\n",
       "  2062,\n",
       "  2063,\n",
       "  2064,\n",
       "  2065,\n",
       "  2066,\n",
       "  2067,\n",
       "  2068,\n",
       "  2069,\n",
       "  2070,\n",
       "  2071,\n",
       "  2072,\n",
       "  2073,\n",
       "  2074,\n",
       "  2075,\n",
       "  2076,\n",
       "  2077,\n",
       "  2078,\n",
       "  2079,\n",
       "  2080,\n",
       "  2081,\n",
       "  2082,\n",
       "  2083,\n",
       "  2084,\n",
       "  2085,\n",
       "  2086,\n",
       "  2087,\n",
       "  2088,\n",
       "  2089,\n",
       "  2090,\n",
       "  2091,\n",
       "  2092,\n",
       "  2093,\n",
       "  2094,\n",
       "  2095,\n",
       "  2096,\n",
       "  2097,\n",
       "  2098,\n",
       "  2099,\n",
       "  2100,\n",
       "  2101,\n",
       "  2102,\n",
       "  2103,\n",
       "  2104,\n",
       "  2105,\n",
       "  2106,\n",
       "  2107,\n",
       "  2108,\n",
       "  2109,\n",
       "  2110,\n",
       "  2111,\n",
       "  2112,\n",
       "  2113,\n",
       "  2114,\n",
       "  2115,\n",
       "  2116,\n",
       "  2117,\n",
       "  2118,\n",
       "  2119,\n",
       "  2120,\n",
       "  2121,\n",
       "  2122,\n",
       "  2123,\n",
       "  2124,\n",
       "  2125,\n",
       "  2126,\n",
       "  2127,\n",
       "  2128,\n",
       "  2129,\n",
       "  2130,\n",
       "  2131,\n",
       "  2132,\n",
       "  2133,\n",
       "  2134,\n",
       "  2135,\n",
       "  2136,\n",
       "  2137,\n",
       "  2138,\n",
       "  2139,\n",
       "  2140,\n",
       "  2141,\n",
       "  2142,\n",
       "  2143,\n",
       "  2144,\n",
       "  2145,\n",
       "  2146,\n",
       "  2147,\n",
       "  2148,\n",
       "  2149,\n",
       "  2150,\n",
       "  2151,\n",
       "  2152,\n",
       "  2153,\n",
       "  2154,\n",
       "  2155,\n",
       "  2156,\n",
       "  2157,\n",
       "  2158,\n",
       "  2159,\n",
       "  2160,\n",
       "  2161,\n",
       "  2162,\n",
       "  2163,\n",
       "  2164,\n",
       "  2165,\n",
       "  2166,\n",
       "  2167,\n",
       "  2168,\n",
       "  2169,\n",
       "  ...],\n",
       " '18328': [2619,\n",
       "  2620,\n",
       "  2621,\n",
       "  2622,\n",
       "  2623,\n",
       "  2624,\n",
       "  2625,\n",
       "  2626,\n",
       "  2627,\n",
       "  2628,\n",
       "  2629,\n",
       "  2630,\n",
       "  2631,\n",
       "  2632,\n",
       "  2633,\n",
       "  2634,\n",
       "  2635,\n",
       "  2636,\n",
       "  2637,\n",
       "  2638,\n",
       "  2639,\n",
       "  2640,\n",
       "  2641,\n",
       "  2642,\n",
       "  2643,\n",
       "  2644,\n",
       "  2645,\n",
       "  2646,\n",
       "  2647,\n",
       "  2648,\n",
       "  2649,\n",
       "  2650,\n",
       "  2651,\n",
       "  2652,\n",
       "  2653,\n",
       "  2654,\n",
       "  2655,\n",
       "  2656,\n",
       "  2657,\n",
       "  2658,\n",
       "  2659,\n",
       "  2660,\n",
       "  2661,\n",
       "  2662,\n",
       "  2663,\n",
       "  2664,\n",
       "  2665,\n",
       "  2666,\n",
       "  2667,\n",
       "  2668,\n",
       "  2669,\n",
       "  2670,\n",
       "  2671,\n",
       "  2672,\n",
       "  2673,\n",
       "  2674,\n",
       "  2675,\n",
       "  2676,\n",
       "  2677,\n",
       "  2678,\n",
       "  2679,\n",
       "  2680,\n",
       "  2681,\n",
       "  2682,\n",
       "  2683,\n",
       "  2684,\n",
       "  2685,\n",
       "  2686,\n",
       "  2687,\n",
       "  2688,\n",
       "  2689,\n",
       "  2690,\n",
       "  2691,\n",
       "  2692,\n",
       "  2693,\n",
       "  2694,\n",
       "  2695,\n",
       "  2696,\n",
       "  2697,\n",
       "  2698,\n",
       "  2699,\n",
       "  2700,\n",
       "  2701,\n",
       "  2702,\n",
       "  2703,\n",
       "  2704,\n",
       "  2705,\n",
       "  2706,\n",
       "  2707,\n",
       "  2708,\n",
       "  2709,\n",
       "  2710,\n",
       "  2711,\n",
       "  2712,\n",
       "  2713,\n",
       "  2714,\n",
       "  2715,\n",
       "  2716,\n",
       "  2717,\n",
       "  2718,\n",
       "  2719,\n",
       "  2720,\n",
       "  2721,\n",
       "  2722,\n",
       "  2723,\n",
       "  2724,\n",
       "  2725,\n",
       "  2726,\n",
       "  2727,\n",
       "  2728,\n",
       "  2729,\n",
       "  2730,\n",
       "  2731,\n",
       "  2732,\n",
       "  2733,\n",
       "  2734,\n",
       "  2735,\n",
       "  2736,\n",
       "  2737,\n",
       "  2738,\n",
       "  2739,\n",
       "  2740,\n",
       "  2741,\n",
       "  2742,\n",
       "  2743,\n",
       "  2744,\n",
       "  2745,\n",
       "  2746,\n",
       "  2747,\n",
       "  2748,\n",
       "  2749,\n",
       "  2750,\n",
       "  2751,\n",
       "  2752,\n",
       "  2753,\n",
       "  2754,\n",
       "  2755,\n",
       "  2756,\n",
       "  2757,\n",
       "  2758,\n",
       "  2759,\n",
       "  2760,\n",
       "  2761,\n",
       "  2762,\n",
       "  2763,\n",
       "  2764,\n",
       "  2765,\n",
       "  2766,\n",
       "  2767,\n",
       "  2768,\n",
       "  2769,\n",
       "  2770,\n",
       "  2771,\n",
       "  2772,\n",
       "  2773,\n",
       "  2774,\n",
       "  2775,\n",
       "  2776,\n",
       "  2777,\n",
       "  2778,\n",
       "  2779,\n",
       "  2780,\n",
       "  2781,\n",
       "  2782,\n",
       "  2783,\n",
       "  2784,\n",
       "  2785,\n",
       "  2786,\n",
       "  2787,\n",
       "  2788,\n",
       "  2789,\n",
       "  2790,\n",
       "  2791,\n",
       "  2792,\n",
       "  2793,\n",
       "  2794,\n",
       "  2795,\n",
       "  2796,\n",
       "  2797,\n",
       "  2798,\n",
       "  2799,\n",
       "  2800,\n",
       "  2801,\n",
       "  2802,\n",
       "  2803,\n",
       "  2804,\n",
       "  2805,\n",
       "  2806,\n",
       "  2807,\n",
       "  2808,\n",
       "  2809,\n",
       "  2810,\n",
       "  2811,\n",
       "  2812,\n",
       "  2813,\n",
       "  2814,\n",
       "  2815,\n",
       "  2816,\n",
       "  2817,\n",
       "  2818,\n",
       "  2819,\n",
       "  2820,\n",
       "  2821,\n",
       "  2822,\n",
       "  2823,\n",
       "  2824,\n",
       "  2825,\n",
       "  2826,\n",
       "  2827,\n",
       "  2828,\n",
       "  2829,\n",
       "  2830,\n",
       "  2831,\n",
       "  2832,\n",
       "  2833,\n",
       "  2834,\n",
       "  2835,\n",
       "  2836,\n",
       "  2837,\n",
       "  2838,\n",
       "  2839,\n",
       "  2840,\n",
       "  2841,\n",
       "  2842,\n",
       "  2843,\n",
       "  2844,\n",
       "  2845,\n",
       "  2846,\n",
       "  2847,\n",
       "  2848,\n",
       "  2849,\n",
       "  2850,\n",
       "  2851,\n",
       "  2852,\n",
       "  2853,\n",
       "  2854,\n",
       "  2855,\n",
       "  2856,\n",
       "  2857,\n",
       "  2858,\n",
       "  2859,\n",
       "  2860,\n",
       "  2861,\n",
       "  2862,\n",
       "  2863,\n",
       "  2864,\n",
       "  2865,\n",
       "  2866,\n",
       "  2867,\n",
       "  2868,\n",
       "  2869,\n",
       "  2870,\n",
       "  2871,\n",
       "  2872,\n",
       "  2873,\n",
       "  2874,\n",
       "  2875,\n",
       "  2876,\n",
       "  2877,\n",
       "  2878,\n",
       "  2879,\n",
       "  2880,\n",
       "  2881,\n",
       "  2882,\n",
       "  2883,\n",
       "  2884,\n",
       "  2885,\n",
       "  2886,\n",
       "  2887,\n",
       "  2888,\n",
       "  2889,\n",
       "  2890,\n",
       "  2891,\n",
       "  2892,\n",
       "  2893,\n",
       "  2894,\n",
       "  2895,\n",
       "  2896,\n",
       "  2897,\n",
       "  2898,\n",
       "  2899,\n",
       "  2900,\n",
       "  2901,\n",
       "  2902,\n",
       "  2903,\n",
       "  2904,\n",
       "  2905,\n",
       "  2906,\n",
       "  2907,\n",
       "  2908,\n",
       "  2909,\n",
       "  2910,\n",
       "  2911,\n",
       "  2912,\n",
       "  2913,\n",
       "  2914,\n",
       "  2915,\n",
       "  2916,\n",
       "  2917,\n",
       "  2918,\n",
       "  2919,\n",
       "  2920,\n",
       "  2921,\n",
       "  2922,\n",
       "  2923,\n",
       "  2924,\n",
       "  2925,\n",
       "  2926,\n",
       "  2927,\n",
       "  2928,\n",
       "  2929,\n",
       "  2930,\n",
       "  2931,\n",
       "  2932,\n",
       "  2933,\n",
       "  2934,\n",
       "  2935,\n",
       "  2936,\n",
       "  2937,\n",
       "  2938,\n",
       "  2939,\n",
       "  2940,\n",
       "  2941,\n",
       "  2942,\n",
       "  2943,\n",
       "  2944,\n",
       "  2945,\n",
       "  2946,\n",
       "  2947,\n",
       "  2948,\n",
       "  2949,\n",
       "  2950,\n",
       "  2951,\n",
       "  2952,\n",
       "  2953,\n",
       "  2954,\n",
       "  2955,\n",
       "  2956,\n",
       "  2957,\n",
       "  2958,\n",
       "  2959,\n",
       "  2960,\n",
       "  2961,\n",
       "  2962,\n",
       "  2963,\n",
       "  2964,\n",
       "  2965,\n",
       "  2966,\n",
       "  2967,\n",
       "  2968,\n",
       "  2969,\n",
       "  2970,\n",
       "  2971,\n",
       "  2972,\n",
       "  2973,\n",
       "  2974,\n",
       "  2975,\n",
       "  2976,\n",
       "  2977,\n",
       "  2978,\n",
       "  2979,\n",
       "  2980,\n",
       "  2981,\n",
       "  2982,\n",
       "  2983,\n",
       "  2984,\n",
       "  2985,\n",
       "  2986,\n",
       "  2987,\n",
       "  2988,\n",
       "  2989,\n",
       "  2990,\n",
       "  2991,\n",
       "  2992,\n",
       "  2993,\n",
       "  2994,\n",
       "  2995,\n",
       "  2996,\n",
       "  2997,\n",
       "  2998,\n",
       "  2999,\n",
       "  3000,\n",
       "  3001,\n",
       "  3002,\n",
       "  3003,\n",
       "  3004,\n",
       "  3005,\n",
       "  3006,\n",
       "  3007,\n",
       "  3008,\n",
       "  3009,\n",
       "  3010,\n",
       "  3011,\n",
       "  3012,\n",
       "  3013,\n",
       "  3014,\n",
       "  3015,\n",
       "  3016,\n",
       "  3017,\n",
       "  3018,\n",
       "  3019,\n",
       "  3020,\n",
       "  3021,\n",
       "  3022,\n",
       "  3023,\n",
       "  3024,\n",
       "  3025,\n",
       "  3026,\n",
       "  3027,\n",
       "  3028,\n",
       "  3029,\n",
       "  3030,\n",
       "  3031,\n",
       "  3032,\n",
       "  3033,\n",
       "  3034,\n",
       "  3035,\n",
       "  3036,\n",
       "  3037,\n",
       "  3038,\n",
       "  3039,\n",
       "  3040,\n",
       "  3041,\n",
       "  3042,\n",
       "  3043,\n",
       "  3044,\n",
       "  3045,\n",
       "  3046,\n",
       "  3047,\n",
       "  3048,\n",
       "  3049,\n",
       "  3050,\n",
       "  3051,\n",
       "  3052,\n",
       "  3053,\n",
       "  3054,\n",
       "  3055,\n",
       "  3056,\n",
       "  3057,\n",
       "  3058,\n",
       "  3059,\n",
       "  3060,\n",
       "  3061,\n",
       "  3062,\n",
       "  3063,\n",
       "  3064,\n",
       "  3065,\n",
       "  3066,\n",
       "  3067,\n",
       "  3068,\n",
       "  3069,\n",
       "  3070,\n",
       "  3071,\n",
       "  3072,\n",
       "  3073,\n",
       "  3074,\n",
       "  3075,\n",
       "  3076,\n",
       "  3077,\n",
       "  3078,\n",
       "  3079,\n",
       "  3080,\n",
       "  3081,\n",
       "  3082,\n",
       "  3083,\n",
       "  3084,\n",
       "  3085,\n",
       "  3086,\n",
       "  3087,\n",
       "  3088,\n",
       "  3089,\n",
       "  3090,\n",
       "  3091,\n",
       "  3092,\n",
       "  3093,\n",
       "  3094,\n",
       "  3095,\n",
       "  3096,\n",
       "  3097,\n",
       "  3098,\n",
       "  3099,\n",
       "  3100,\n",
       "  3101,\n",
       "  3102,\n",
       "  3103,\n",
       "  3104,\n",
       "  3105,\n",
       "  3106,\n",
       "  3107,\n",
       "  3108,\n",
       "  3109,\n",
       "  3110,\n",
       "  3111,\n",
       "  3112,\n",
       "  3113,\n",
       "  3114,\n",
       "  3115,\n",
       "  3116,\n",
       "  3117,\n",
       "  3118,\n",
       "  3119,\n",
       "  3120,\n",
       "  3121,\n",
       "  3122,\n",
       "  3123,\n",
       "  3124,\n",
       "  3125,\n",
       "  3126,\n",
       "  3127,\n",
       "  3128,\n",
       "  3129,\n",
       "  3130,\n",
       "  3131,\n",
       "  3132,\n",
       "  3133,\n",
       "  3134,\n",
       "  3135,\n",
       "  3136,\n",
       "  3137,\n",
       "  3138,\n",
       "  3139,\n",
       "  3140,\n",
       "  3141,\n",
       "  3142,\n",
       "  3143,\n",
       "  3144,\n",
       "  3145,\n",
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       "  3147,\n",
       "  3148,\n",
       "  3149,\n",
       "  3150,\n",
       "  3151,\n",
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       "  3153,\n",
       "  3154,\n",
       "  3155,\n",
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       "  3157,\n",
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       "  3159,\n",
       "  3160,\n",
       "  3161,\n",
       "  3162,\n",
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       "  3165,\n",
       "  3166,\n",
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       "  3170,\n",
       "  3171,\n",
       "  3172,\n",
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       "  3174,\n",
       "  3175,\n",
       "  3176,\n",
       "  3177,\n",
       "  3178,\n",
       "  3179,\n",
       "  3180,\n",
       "  3181,\n",
       "  3182,\n",
       "  3183,\n",
       "  3184,\n",
       "  3185,\n",
       "  3186,\n",
       "  3187,\n",
       "  3188,\n",
       "  3189,\n",
       "  3190,\n",
       "  3191,\n",
       "  3192,\n",
       "  3193,\n",
       "  3194,\n",
       "  3195,\n",
       "  3196,\n",
       "  3197,\n",
       "  3198,\n",
       "  3199,\n",
       "  3200,\n",
       "  3201,\n",
       "  3202,\n",
       "  3203,\n",
       "  3204,\n",
       "  3205,\n",
       "  3206,\n",
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       "  3208,\n",
       "  3209,\n",
       "  3210,\n",
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       "  3213,\n",
       "  3214,\n",
       "  3215,\n",
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       "  3219,\n",
       "  3220,\n",
       "  3221,\n",
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       "  3225,\n",
       "  3226,\n",
       "  3227,\n",
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       "  3229,\n",
       "  3230,\n",
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       "  3232,\n",
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       "  3235,\n",
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       "  3250,\n",
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       "  3252,\n",
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       "  3255,\n",
       "  3256,\n",
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       "  3258,\n",
       "  3259,\n",
       "  3260,\n",
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       "  3269,\n",
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       "  3285,\n",
       "  3286,\n",
       "  3287,\n",
       "  3288,\n",
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       "  3290,\n",
       "  3291,\n",
       "  3292,\n",
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       "  3294,\n",
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       "  3302,\n",
       "  3303,\n",
       "  3304,\n",
       "  3305,\n",
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       "  3309,\n",
       "  3310,\n",
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       "  3320,\n",
       "  3321,\n",
       "  3322,\n",
       "  3323,\n",
       "  3324,\n",
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       "  3326,\n",
       "  3327,\n",
       "  3328,\n",
       "  3329,\n",
       "  3330,\n",
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       "  3333,\n",
       "  3334,\n",
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       "  3339,\n",
       "  3340,\n",
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       "  3342,\n",
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       "  3345,\n",
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       "  3616,\n",
       "  3617,\n",
       "  3618,\n",
       "  ...],\n",
       " '18342': [3723,\n",
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       "  3948,\n",
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       "  3950,\n",
       "  3951,\n",
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       "  3956,\n",
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       "  3960,\n",
       "  3961,\n",
       "  3962,\n",
       "  3963,\n",
       "  3964,\n",
       "  3965,\n",
       "  3966,\n",
       "  3967,\n",
       "  3968,\n",
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       "  3974,\n",
       "  3975,\n",
       "  3976,\n",
       "  3977,\n",
       "  3978,\n",
       "  3979,\n",
       "  3980,\n",
       "  3981,\n",
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       "  3984,\n",
       "  3985,\n",
       "  3986,\n",
       "  3987,\n",
       "  3988,\n",
       "  3989,\n",
       "  3990,\n",
       "  3991,\n",
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       "  3993,\n",
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       "  3995,\n",
       "  3996,\n",
       "  3997,\n",
       "  3998,\n",
       "  3999,\n",
       "  4000,\n",
       "  4001,\n",
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       "  4011,\n",
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       "  4013,\n",
       "  4014,\n",
       "  4015,\n",
       "  4016,\n",
       "  4017,\n",
       "  4018,\n",
       "  4019,\n",
       "  4020,\n",
       "  4021,\n",
       "  4022,\n",
       "  4023,\n",
       "  4024,\n",
       "  4025,\n",
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       "  4027,\n",
       "  4028,\n",
       "  4029,\n",
       "  4030,\n",
       "  4031,\n",
       "  4032,\n",
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       "  4034,\n",
       "  4035,\n",
       "  4036,\n",
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       "  4038,\n",
       "  4039,\n",
       "  4040,\n",
       "  4041,\n",
       "  4042,\n",
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       "  4044,\n",
       "  4045,\n",
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       "  4047,\n",
       "  4048,\n",
       "  4049,\n",
       "  4050,\n",
       "  4051,\n",
       "  4052,\n",
       "  4053,\n",
       "  4054,\n",
       "  4055,\n",
       "  4056,\n",
       "  4057,\n",
       "  4058,\n",
       "  4059,\n",
       "  4060,\n",
       "  4061,\n",
       "  4062,\n",
       "  4063,\n",
       "  4064,\n",
       "  4065,\n",
       "  4066,\n",
       "  4067,\n",
       "  4068,\n",
       "  4069,\n",
       "  4070,\n",
       "  4071,\n",
       "  4072,\n",
       "  4073,\n",
       "  4074,\n",
       "  4075,\n",
       "  4076,\n",
       "  4077,\n",
       "  4078,\n",
       "  4079,\n",
       "  4080,\n",
       "  4081,\n",
       "  4082,\n",
       "  4083,\n",
       "  4084,\n",
       "  4085,\n",
       "  4086,\n",
       "  4087,\n",
       "  4088,\n",
       "  4089,\n",
       "  4090,\n",
       "  4091,\n",
       "  4092,\n",
       "  4093,\n",
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       "  4095,\n",
       "  4096,\n",
       "  4097,\n",
       "  4098,\n",
       "  4099,\n",
       "  4100,\n",
       "  4101,\n",
       "  4102,\n",
       "  4103,\n",
       "  4104,\n",
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       "  4107,\n",
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       "  4109,\n",
       "  4110,\n",
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       "  4112,\n",
       "  4113,\n",
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       "  4123,\n",
       "  4124,\n",
       "  4125,\n",
       "  4126,\n",
       "  4127,\n",
       "  4128,\n",
       "  4129,\n",
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       "  4131,\n",
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       "  4133,\n",
       "  4134,\n",
       "  4135,\n",
       "  4136,\n",
       "  4137,\n",
       "  4138,\n",
       "  4139,\n",
       "  4140,\n",
       "  4141,\n",
       "  4142,\n",
       "  4143,\n",
       "  4144,\n",
       "  4145,\n",
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       "  4148,\n",
       "  4149,\n",
       "  4150,\n",
       "  4151,\n",
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       "  4153,\n",
       "  4154,\n",
       "  4155,\n",
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       "  4157,\n",
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       "  4160,\n",
       "  4161,\n",
       "  4162,\n",
       "  4163,\n",
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       "  4165,\n",
       "  4166,\n",
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       "  4172,\n",
       "  4173,\n",
       "  4174,\n",
       "  4175,\n",
       "  4176,\n",
       "  4177,\n",
       "  4178,\n",
       "  4179,\n",
       "  4180,\n",
       "  4181,\n",
       "  4182,\n",
       "  4183,\n",
       "  4184,\n",
       "  4185,\n",
       "  4186,\n",
       "  4187,\n",
       "  4188,\n",
       "  4189,\n",
       "  4190,\n",
       "  4191,\n",
       "  4192,\n",
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       "  4196,\n",
       "  4197,\n",
       "  4198,\n",
       "  4199,\n",
       "  4200,\n",
       "  4201,\n",
       "  4202,\n",
       "  4203,\n",
       "  4204,\n",
       "  4205,\n",
       "  4206,\n",
       "  4207,\n",
       "  4208,\n",
       "  4209,\n",
       "  4210,\n",
       "  4211,\n",
       "  4212,\n",
       "  4213,\n",
       "  4214,\n",
       "  4215,\n",
       "  4216,\n",
       "  4217,\n",
       "  4218,\n",
       "  4219,\n",
       "  4220,\n",
       "  4221,\n",
       "  4222,\n",
       "  4223,\n",
       "  4224,\n",
       "  4225,\n",
       "  4226,\n",
       "  4227,\n",
       "  4228,\n",
       "  4229,\n",
       "  4230,\n",
       "  4231,\n",
       "  4232,\n",
       "  4233,\n",
       "  4234,\n",
       "  4235,\n",
       "  4236,\n",
       "  4237,\n",
       "  4238,\n",
       "  4239,\n",
       "  4240,\n",
       "  4241,\n",
       "  4242,\n",
       "  4243,\n",
       "  4244,\n",
       "  4245,\n",
       "  4246,\n",
       "  4247,\n",
       "  4248,\n",
       "  4249,\n",
       "  4250,\n",
       "  4251,\n",
       "  4252,\n",
       "  4253,\n",
       "  4254,\n",
       "  4255,\n",
       "  4256,\n",
       "  4257,\n",
       "  4258,\n",
       "  4259,\n",
       "  4260,\n",
       "  4261,\n",
       "  4262,\n",
       "  4263,\n",
       "  4264,\n",
       "  4265,\n",
       "  4266,\n",
       "  4267,\n",
       "  4268,\n",
       "  4269,\n",
       "  4270,\n",
       "  4271,\n",
       "  4272,\n",
       "  4273,\n",
       "  4274,\n",
       "  4275,\n",
       "  4276,\n",
       "  4277,\n",
       "  4278,\n",
       "  4279,\n",
       "  4280,\n",
       "  4281,\n",
       "  4282,\n",
       "  4283,\n",
       "  4284,\n",
       "  4285,\n",
       "  4286,\n",
       "  4287,\n",
       "  4288,\n",
       "  4289,\n",
       "  4290,\n",
       "  4291,\n",
       "  4292,\n",
       "  4293,\n",
       "  4294,\n",
       "  4295,\n",
       "  4296,\n",
       "  4297,\n",
       "  4298,\n",
       "  4299,\n",
       "  4300,\n",
       "  4301,\n",
       "  4302,\n",
       "  4303,\n",
       "  4304,\n",
       "  4305,\n",
       "  4306,\n",
       "  4307,\n",
       "  4308,\n",
       "  4309,\n",
       "  4310,\n",
       "  4311,\n",
       "  4312,\n",
       "  4313,\n",
       "  4314,\n",
       "  4315,\n",
       "  4316,\n",
       "  4317,\n",
       "  4318,\n",
       "  4319,\n",
       "  4320,\n",
       "  4321,\n",
       "  4322,\n",
       "  4323,\n",
       "  4324,\n",
       "  4325,\n",
       "  4326,\n",
       "  4327,\n",
       "  4328,\n",
       "  4329,\n",
       "  4330,\n",
       "  4331,\n",
       "  4332,\n",
       "  4333,\n",
       "  4334,\n",
       "  4335,\n",
       "  4336,\n",
       "  4337,\n",
       "  4338,\n",
       "  4339,\n",
       "  4340,\n",
       "  4341,\n",
       "  4342,\n",
       "  4343,\n",
       "  4344,\n",
       "  4345,\n",
       "  4346,\n",
       "  4347,\n",
       "  4348,\n",
       "  4349,\n",
       "  4350,\n",
       "  4351,\n",
       "  4352,\n",
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       "  4355,\n",
       "  4356,\n",
       "  4357,\n",
       "  4358,\n",
       "  4359,\n",
       "  4360,\n",
       "  4361,\n",
       "  4362,\n",
       "  4363,\n",
       "  4364,\n",
       "  4365,\n",
       "  4366,\n",
       "  4367,\n",
       "  4368,\n",
       "  4369,\n",
       "  4370,\n",
       "  4371,\n",
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       "  4373,\n",
       "  4374,\n",
       "  4375,\n",
       "  4376,\n",
       "  4377,\n",
       "  4378,\n",
       "  4379,\n",
       "  4380,\n",
       "  4381,\n",
       "  4382,\n",
       "  4383,\n",
       "  4384,\n",
       "  4385,\n",
       "  4386,\n",
       "  4387,\n",
       "  4388,\n",
       "  4389,\n",
       "  4390,\n",
       "  4391,\n",
       "  4392,\n",
       "  4393,\n",
       "  4394,\n",
       "  4395,\n",
       "  4396,\n",
       "  4397,\n",
       "  4398,\n",
       "  4399,\n",
       "  4400,\n",
       "  4401,\n",
       "  4402,\n",
       "  4403,\n",
       "  4404,\n",
       "  4405,\n",
       "  4406,\n",
       "  4407,\n",
       "  4408,\n",
       "  4409,\n",
       "  4410,\n",
       "  4411,\n",
       "  4412,\n",
       "  4413,\n",
       "  4414,\n",
       "  4415,\n",
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       "  4419,\n",
       "  4420,\n",
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       "  4425,\n",
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       "  4427,\n",
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       "  4432,\n",
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       "  4439,\n",
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       "  4444,\n",
       "  4445,\n",
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       "  4448,\n",
       "  4449,\n",
       "  4450,\n",
       "  4451,\n",
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       "  4454,\n",
       "  4455,\n",
       "  4456,\n",
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       "  4459,\n",
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       "  4461,\n",
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       "  4478,\n",
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       "  4480,\n",
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       "  4484,\n",
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       "  4486,\n",
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       "  4488,\n",
       "  4489,\n",
       "  4490,\n",
       "  4491,\n",
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       "  4494,\n",
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       "  4502,\n",
       "  4503,\n",
       "  4504,\n",
       "  4505,\n",
       "  4506,\n",
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       "  4508,\n",
       "  4509,\n",
       "  4510,\n",
       "  4511,\n",
       "  4512,\n",
       "  4513,\n",
       "  4514,\n",
       "  4515,\n",
       "  4516,\n",
       "  4517,\n",
       "  4518,\n",
       "  4519,\n",
       "  4520,\n",
       "  4521,\n",
       "  4522,\n",
       "  4523,\n",
       "  4524,\n",
       "  4525,\n",
       "  4526,\n",
       "  4527,\n",
       "  4528,\n",
       "  4529,\n",
       "  4530,\n",
       "  4531,\n",
       "  4532,\n",
       "  4533,\n",
       "  4534,\n",
       "  4535,\n",
       "  4536,\n",
       "  4537,\n",
       "  4538,\n",
       "  4539,\n",
       "  4540,\n",
       "  4541,\n",
       "  4542,\n",
       "  4543,\n",
       "  4544,\n",
       "  4545,\n",
       "  4546,\n",
       "  4547,\n",
       "  4548,\n",
       "  4549,\n",
       "  4550,\n",
       "  4551,\n",
       "  4552,\n",
       "  4553,\n",
       "  4554,\n",
       "  4555,\n",
       "  4556,\n",
       "  4557,\n",
       "  4558,\n",
       "  4559,\n",
       "  4560,\n",
       "  4561,\n",
       "  4562,\n",
       "  4563,\n",
       "  4564,\n",
       "  4565,\n",
       "  4566,\n",
       "  4567,\n",
       "  4568,\n",
       "  4569,\n",
       "  4570,\n",
       "  4571,\n",
       "  4572,\n",
       "  4573,\n",
       "  4574,\n",
       "  4575,\n",
       "  4576,\n",
       "  4577,\n",
       "  4578,\n",
       "  4579,\n",
       "  4580,\n",
       "  4581,\n",
       "  4582,\n",
       "  4583,\n",
       "  4584,\n",
       "  4585,\n",
       "  4586,\n",
       "  4587,\n",
       "  4588,\n",
       "  4589,\n",
       "  4590,\n",
       "  4591,\n",
       "  4592,\n",
       "  4593,\n",
       "  4594,\n",
       "  4595,\n",
       "  4596,\n",
       "  4597,\n",
       "  4598,\n",
       "  4599,\n",
       "  4600,\n",
       "  4601,\n",
       "  4602,\n",
       "  4603,\n",
       "  4604,\n",
       "  4605,\n",
       "  4606,\n",
       "  4607,\n",
       "  4608,\n",
       "  4609,\n",
       "  4610,\n",
       "  4611,\n",
       "  4612,\n",
       "  4613,\n",
       "  4614,\n",
       "  4615,\n",
       "  4616,\n",
       "  4617,\n",
       "  4618,\n",
       "  4619,\n",
       "  4620,\n",
       "  4621,\n",
       "  4622,\n",
       "  4623,\n",
       "  4624,\n",
       "  4625,\n",
       "  4626,\n",
       "  4627,\n",
       "  4628,\n",
       "  4629,\n",
       "  4630,\n",
       "  4631,\n",
       "  4632,\n",
       "  4633,\n",
       "  4634,\n",
       "  4635,\n",
       "  4636,\n",
       "  4637,\n",
       "  4638,\n",
       "  4639,\n",
       "  4640,\n",
       "  4641,\n",
       "  4642,\n",
       "  4643,\n",
       "  4644,\n",
       "  4645,\n",
       "  4646,\n",
       "  4647,\n",
       "  4648,\n",
       "  4649,\n",
       "  4650,\n",
       "  4651,\n",
       "  4652,\n",
       "  4653,\n",
       "  4654,\n",
       "  4655,\n",
       "  4656,\n",
       "  4657,\n",
       "  4658,\n",
       "  4659,\n",
       "  4660,\n",
       "  4661,\n",
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       "  4663,\n",
       "  4664,\n",
       "  4665,\n",
       "  4666,\n",
       "  4667,\n",
       "  4668,\n",
       "  4669,\n",
       "  4670,\n",
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       "  4672,\n",
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       "  4674,\n",
       "  4675,\n",
       "  4676,\n",
       "  4677,\n",
       "  4678,\n",
       "  4679,\n",
       "  4680,\n",
       "  4681,\n",
       "  4682,\n",
       "  4683,\n",
       "  4684,\n",
       "  4685,\n",
       "  4686,\n",
       "  4687,\n",
       "  4688,\n",
       "  4689,\n",
       "  4690,\n",
       "  4691,\n",
       "  4692,\n",
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       "  4694,\n",
       "  4695,\n",
       "  4696,\n",
       "  4697,\n",
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       "  4700,\n",
       "  4701,\n",
       "  4702,\n",
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       "  4704,\n",
       "  4705,\n",
       "  4706,\n",
       "  4707,\n",
       "  4708,\n",
       "  4709,\n",
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       "  4718,\n",
       "  4719,\n",
       "  4720,\n",
       "  4721,\n",
       "  4722,\n",
       "  ...],\n",
       " '18356': [4869,\n",
       "  4870,\n",
       "  4871,\n",
       "  4872,\n",
       "  4873,\n",
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       "  4934,\n",
       "  4935,\n",
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       "  4938,\n",
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       "  4940,\n",
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       "  4943,\n",
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       "  4945,\n",
       "  4946,\n",
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       "  4949,\n",
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       "  4965,\n",
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       "  4990,\n",
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       "  5011,\n",
       "  5012,\n",
       "  5013,\n",
       "  5014,\n",
       "  5015,\n",
       "  5016,\n",
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       "  5832,\n",
       "  5833,\n",
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       "  ...],\n",
       " '18371': [6156,\n",
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       "  6980,\n",
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       "  6985,\n",
       "  6986,\n",
       "  6987,\n",
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       "  6990,\n",
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       "  7814,\n",
       "  7815,\n",
       "  7816,\n",
       "  7817,\n",
       "  7818,\n",
       "  7819,\n",
       "  7820,\n",
       "  7821,\n",
       "  7822,\n",
       "  7823,\n",
       "  7824,\n",
       "  7825,\n",
       "  7826,\n",
       "  7827,\n",
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       "  7829,\n",
       "  7830,\n",
       "  7831,\n",
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       "  7835,\n",
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       "  7860,\n",
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       "  7870,\n",
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       "  7880,\n",
       "  7881,\n",
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       "  7886,\n",
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       "  7889,\n",
       "  7890,\n",
       "  7891,\n",
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       "  7894,\n",
       "  7895,\n",
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       "  ...],\n",
       " '18378': [8338,\n",
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       "  8341,\n",
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       "  8564,\n",
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       "  8568,\n",
       "  8569,\n",
       "  8570,\n",
       "  8571,\n",
       "  8572,\n",
       "  8573,\n",
       "  8574,\n",
       "  8575,\n",
       "  8576,\n",
       "  8577,\n",
       "  8578,\n",
       "  8579,\n",
       "  8580,\n",
       "  8581,\n",
       "  8582,\n",
       "  8583,\n",
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       "  8586,\n",
       "  8587,\n",
       "  8588,\n",
       "  8589,\n",
       "  8590,\n",
       "  8591,\n",
       "  8592,\n",
       "  8593,\n",
       "  8594,\n",
       "  8595,\n",
       "  8596,\n",
       "  8597,\n",
       "  8598,\n",
       "  8599,\n",
       "  8600,\n",
       "  8601,\n",
       "  8602,\n",
       "  8603,\n",
       "  8604,\n",
       "  8605,\n",
       "  8606,\n",
       "  8607,\n",
       "  8608,\n",
       "  8609,\n",
       "  8610,\n",
       "  8611,\n",
       "  8612,\n",
       "  8613,\n",
       "  8614,\n",
       "  8615,\n",
       "  8616,\n",
       "  8617,\n",
       "  8618,\n",
       "  8619,\n",
       "  8620,\n",
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       "  8622,\n",
       "  8623,\n",
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       "  8625,\n",
       "  8626,\n",
       "  8627,\n",
       "  8628,\n",
       "  8629,\n",
       "  8630,\n",
       "  8631,\n",
       "  8632,\n",
       "  8633,\n",
       "  8634,\n",
       "  8635,\n",
       "  8636,\n",
       "  8637,\n",
       "  8638,\n",
       "  8639,\n",
       "  8640,\n",
       "  8641,\n",
       "  8642,\n",
       "  8643,\n",
       "  8644,\n",
       "  8645,\n",
       "  8646,\n",
       "  8647,\n",
       "  8648,\n",
       "  8649,\n",
       "  8650,\n",
       "  8651,\n",
       "  8652,\n",
       "  8653,\n",
       "  8654,\n",
       "  8655,\n",
       "  8656,\n",
       "  8657,\n",
       "  8658,\n",
       "  8659,\n",
       "  8660,\n",
       "  8661,\n",
       "  8662,\n",
       "  8663,\n",
       "  8664,\n",
       "  8665,\n",
       "  8666,\n",
       "  8667,\n",
       "  8668,\n",
       "  8669,\n",
       "  8670,\n",
       "  8671,\n",
       "  8672,\n",
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       "  8674,\n",
       "  8675,\n",
       "  8676,\n",
       "  8677,\n",
       "  8678,\n",
       "  8679,\n",
       "  8680,\n",
       "  8681,\n",
       "  8682,\n",
       "  8683,\n",
       "  8684,\n",
       "  8685,\n",
       "  8686,\n",
       "  8687,\n",
       "  8688,\n",
       "  8689,\n",
       "  8690,\n",
       "  8691,\n",
       "  8692,\n",
       "  8693,\n",
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       "  8695,\n",
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       "  8701,\n",
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       "  8704,\n",
       "  8705,\n",
       "  8706,\n",
       "  8707,\n",
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       "  8709,\n",
       "  8710,\n",
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       "  8712,\n",
       "  8713,\n",
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       "  8716,\n",
       "  8717,\n",
       "  8718,\n",
       "  8719,\n",
       "  8720,\n",
       "  8721,\n",
       "  8722,\n",
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       "  8725,\n",
       "  8726,\n",
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       "  8729,\n",
       "  8730,\n",
       "  8731,\n",
       "  8732,\n",
       "  8733,\n",
       "  8734,\n",
       "  8735,\n",
       "  8736,\n",
       "  8737,\n",
       "  8738,\n",
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       "  8740,\n",
       "  8741,\n",
       "  8742,\n",
       "  8743,\n",
       "  8744,\n",
       "  8745,\n",
       "  8746,\n",
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       "  8905,\n",
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       "  8910,\n",
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       "  9140,\n",
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       "  9176,\n",
       "  9177,\n",
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       "  9180,\n",
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       "  9186,\n",
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       "  9191,\n",
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       "  9256,\n",
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       "  ...],\n",
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       "  9941,\n",
       "  9942,\n",
       "  9943,\n",
       "  9944,\n",
       "  9945,\n",
       "  9946,\n",
       "  9947,\n",
       "  9948,\n",
       "  9949,\n",
       "  9950,\n",
       "  9951,\n",
       "  9952,\n",
       "  9953,\n",
       "  9954,\n",
       "  9955,\n",
       "  9956,\n",
       "  9957,\n",
       "  9958,\n",
       "  9959,\n",
       "  9960,\n",
       "  9961,\n",
       "  9962,\n",
       "  9963,\n",
       "  9964,\n",
       "  9965,\n",
       "  9966,\n",
       "  9967,\n",
       "  9968,\n",
       "  9969,\n",
       "  9970,\n",
       "  9971,\n",
       "  9972,\n",
       "  9973,\n",
       "  9974,\n",
       "  9975,\n",
       "  9976,\n",
       "  9977,\n",
       "  9978,\n",
       "  9979,\n",
       "  9980,\n",
       "  9981,\n",
       "  9982,\n",
       "  9983,\n",
       "  9984,\n",
       "  9985,\n",
       "  9986,\n",
       "  9987,\n",
       "  9988,\n",
       "  9989,\n",
       "  9990,\n",
       "  9991,\n",
       "  9992,\n",
       "  9993,\n",
       "  9994,\n",
       "  9995,\n",
       "  9996,\n",
       "  9997,\n",
       "  9998,\n",
       "  9999,\n",
       "  10000]}"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.queries"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "45223439-85b3-4641-bf6b-4ebe12d43272",
   "metadata": {},
   "source": [
    "## NDCG\n",
    "\n",
    "https://en.wikipedia.org/wiki/Discounted_cumulative_gain#Normalized_DCG"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "2b438c55-f117-4c47-a301-ce0aedfd5dc9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0\n",
      "0.0\n",
      "0.785002371969948\n",
      "1.0\n",
      "1.0\n",
      "0.9506091863702779\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "from functools import lru_cache\n",
    "\n",
    "@lru_cache\n",
    "def log2_value(i):\n",
    "    return np.log2(i+2)\n",
    "\n",
    "def ndcg(ranks, ground_truth_ranks):\n",
    "    dcg, idcg = 0.0, 0.0\n",
    "    for i in range(min(len(ranks), len(ground_truth_ranks))):\n",
    "        dcg += float(ranks[i]) / log2_value(i)\n",
    "        idcg += float(ground_truth_ranks[i]) / log2_value(i)\n",
    "    return dcg/idcg if idcg else 0.0\n",
    "\n",
    "print(ndcg([0,0,0,0,0,0], [2,1,0,0,0,0]))\n",
    "print(ndcg([2,1,0,0,0,0], [0,0,0,0,0,0]))\n",
    "print(ndcg([3,2,3,0,1,2], [3,3,3,2,2,2,1,0]))\n",
    "print(ndcg([3,2,3,0,1,2], [3,2,3,0,1,2]))\n",
    "print(ndcg([3,2,3,0,1,2], [3,2]))\n",
    "print(ndcg([3,2.5,2.0,1.5,1.0,0.5], [3,3,2,2,1,0]))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ed47d394-0f13-43f0-a2da-62aa548c8df6",
   "metadata": {},
   "source": [
    "## Funkcja logistyczna\n",
    "\n",
    "* https://pl.wikipedia.org/wiki/Regresja_logistyczna\n",
    "\n",
    "Funkcja szansy:\n",
    "$$\n",
    "Odds={\\frac {p}{1-p}}\n",
    "$$\n",
    "\n",
    "Odwrotne przekształcenie:\n",
    "$$\n",
    "p={\\frac {Odds}{1+Odds}}\n",
    "$$\n",
    "\n",
    "Logit:\n",
    "$$\n",
    "\\operatorname {logit} (p)=\\ln {\\frac {p}{1-p}}=\\ln(p)-\\ln(1-p)\n",
    "$$\n",
    "\n",
    "Odwrotne przekształcenie:\n",
    "$$\n",
    "p={\\frac {e^{\\operatorname {logit} (p)}}{1+e^{\\operatorname {logit} (p)}}}={\\frac {1}{1+e^{-\\operatorname {logit} (p)}}}\n",
    "$$\n",
    "\n",
    "Modelowanie logitu za pomocą funkcji liniowej:\n",
    "$$\n",
    "\\operatorname {logit} (p_{i})=\\ln \\left({\\frac {p_{i}}{1-p_{i}}}\\right)=\\beta _{1}x_{1,i}+\\dots +\\beta _{k}x_{k,i}\n",
    "$$\n",
    "\n",
    "Postać równoważna:\n",
    "$$\n",
    "p_{i}={\\frac {1}{1+e^{-(\\beta _{1}x_{1,i}+\\dots +\\beta _{k}x_{k,i})}}}\n",
    "$$\n",
    "\n",
    "$$\n",
    "\\hat{y}(x) = {\\frac {1}{1+e^{-\\mathbf{w} x}}}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cb262bf6-eae6-4b5d-9f96-f465592a491e",
   "metadata": {},
   "source": [
    "## Funkcja sigmoidalna\n",
    "\n",
    "* https://en.wikipedia.org/wiki/Sigmoid_function\n",
    "\n",
    "$$\n",
    "S(x)={\\frac {1}{1+e^{-x}}}={\\frac {e^{x}}{e^{x}+1}}=1-S(-x)\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "49532674-8b54-41b4-b506-5ebbdf59f90c",
   "metadata": {},
   "outputs": [
    {
     "data": {
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oIlcFzZ4C9prZGqAS+Bd339vldyOSQZ5avROAy07XtYUks7W3aehsb3EGsbvXAV8yswfbe3J3XwgsbDHsjrRuB74QPER6ladX7+SMMQMZOaBP1FFEjqm9NYJz2xrh7mvMrL+ZTe7mTCJZb+fBBlZsO8jlWhuQLNDeGsF1ZnYX8CSpk8eOXmJiAjALOBH451ATimShZ9buAuCySSoEkvnaO7P4n8xsMHAd8CFgJKmLzq0FfuTufwo/okj2eXr1TsYPLeGkYZl3LLpIS+0ePuru+4AfBw8RacehhmZe2biXW84bh5lFHUekXe1dffSYO3Hd/XvdG0ck+y1av5vmhOtoIcka7a0R9Av+ngKcxbvnAfwN8FpYoUSy2dOrdzK0tIgzxwyKOopIh7S3j+D/AJjZC8A0dz8c9H8deCL0dCJZpjGeYNH63Vw5ZSSxPG0WkuzQ0VtVlgFNaf1NwTARSfPKxn3UNsa1WUiySkdvl/Rz4DUzeyzovwb4WRiBRLLZ06t30rcwxrknDY06ikiHdagQuPu3zewPwAXBoJvdfVl4sUSyT9KdZ9bs4sKTh1FcEIs6jkiHtXfUUH93PxScS7ApeBwdNzg4tFREgE2HktQcbuT9OolMskx7awQPAVeSOqvYgfS9Xw6MDymXSNZZtitBLM90S0rJOu0dNXRl8Hdcz8QRyV7LauKcNXYQA/sWRh1FpFM6urOY4NLRM4PeRe7+eDiRRLLPlr11bKt1br5I9x6Q7NOhw0fN7E7gc8Ca4PE5M/vXMIOJZJOn1wT3HtD+AclCHV0juILUfYqTAMG9CJYBXwkrmEg2eWbNLkaXGmMG9406ikindfSEMoCBad0DujmHSNbaf6SJxZv2MbWsw1taRTJKR5fcfwOWmVklqSOHZgK3hZZKJIs8v66GpMO04Tp3QLJTR08oe9jMFpG68BzAl9x9Z2ipRLLIM2t2MaJ/MWP7d2YFWyRzdGbJHRb8zQfONbMPhpBHJKs0NCd4YcNuLp00XPcekKzVoTUCM3sAmAKsBo7ezN6B/wkpl0hWeOmtPdQ1Jbhs0giS2/dGHUekSzq6j2CGu08KNYlIFnp69S76FeUzY/wQXtoedRqRrunopqGXzUyFQCRNIuk8u3YXF506nMJ87R+Q7NWZy1C/bGY7gUZSRw65u08JLZlIhlu2ZT97apt0EplkvY4Wgp8ANwEreXcfgUhOe2bNLgpixkWnDGu/sUgG62gh2O3uC9pvJpIb3J2nVu/kfScNpV9xQdRxRI5LRwvBMjN7CPg9qU1DALi7jhqSnFRVU8umvXXceoGuxC7Zr6OFoA+pAnBZ2jAdPio56+k1uwB0ExrpFTp6ZvHNYQcRySZPr9nFGWMGUta/OOooIsetoyeU/aCVwQeBJe7+u+6NJJLZth+oZ8XWA/zL5adEHUWkW3T04Odi4ExgQ/CYAowGPmlm3w8lmUiGenp16jJbcybrJjTSO3S0EEwBZrn7f7r7fwKXAqcC1/KX+w3+gpnNNrP1ZlZlZm1erdTMrjMzN7PpnQkvEoUnV+/k5LJSxg8rjTqKSLfoaCEYBKQv9SXAYHdPkHYUUToziwH3AHOAScCNrZ2dbGb9SN397NVO5BaJxN7aRl57ex+zT9fagPQeHS0EdwHLzeynZvYzUncn+66ZlQDPtjHN2UCVu2909yagAri6lXbfBL4DNHQquUgEnl27i6TD5dosJL2IuXvHGpqNJPXlDrDY3Y95iS0zux6Y7e63Bv03Aee4+/y0NtOA2939uuB+B1909yWtPNc8YB5AWVlZeUVFRYcyt1RbW0tpaeatzitX50SZ63tLG9hRm+SumX3+6rLTmTq/IHOzKVfnHE+uWbNmLXX31je/u3ubD+DU4O+01h7tTHs9cH9a/03A3Wn9ecAiYGzQvwiYfqzndHfKy8u9qyorK7s8bZiUq3OiynWwvsknfOUJ//YTa1odn6nzyz1zsylX5xxPLlJHebb6vdre4aNfIPVL/N+P1o0W4y8+xrTVwJi0/tHBsKP6AZOBRcEvqxHAAjO7yltZKxCJWuW6GpoTzuXaPyC9THv7CO43sxHuPsvdZwEPArXAKlK/+I9lMTDRzMaZWSEwF3jnekXuftDdh7r7WHcfC7wCqAhIxnpy1U6G9yti6piBUUcR6VbtFYJ7gSYAM5tJ6ib2D5I6mey+Y03o7nFgPvAUsBZ41N1Xm9k3zOyq4w0u0pPqmuIsWr+by08fQV6ebkkpvUt7m4Zi7r4v6P4wcJ+7/wb4jZktb+/J3X0hsLDFsDvaaHtRu2lFIlK5bjf1zQmueO/IqKOIdLv21ghiZna0WFwCPJ82rqMXrBPJeo+/sZ1h/Yo4e9zgqKOIdLv2vswfBv5oZnuAeuBFADObQGrzkEivd6QxzvPraph71hhi2iwkvdAxC4G7f9vMngNGAk8HhyBBak3iH8IOJ5IJnltXQ2M8yQemjIo6ikgo2t284+6vtDLszXDiiGSex1dsp6x/EdNPHBR1FJFQdPQSEyI56XBDM4ve3M0V7x2po4Wk11IhEDmG59bW0BRPcuUUHS0kvZcKgcgxPP7GdkYNKGbqGG0Wkt5LhUCkDQfrmnnhzT3M0WYh6eVUCETasHDVDpoSSa4584Soo4iESoVApA2PvV7NScNKmHxC/6ijiIRKhUCkFVv31fHapn18cNrov7rvgEhvo0Ig0orfLU9dMf2qM3QSmfR+KgQiLbg7jy2r5uyxgxkzuG/UcURCp0Ig0sLK6oO8tfsI107TTmLJDSoEIi08tqyawlgeV0zWSWSSG1QIRNLEE0l+v2I7l5w2nAF9C6KOI9IjVAhE0jy/roY9tU1cO1WbhSR3qBCIpHlk8VaG9Sti1qnDo44i0mNUCEQCOw7WU7m+hg+Vj6Ygpn8NyR1a2kUCv1qyjaTDh88aE3UUkR6lQiACJJPOI4u3ct6EIZw4pCTqOCI9SoVABHixag/VB+qZe9Z7oo4i0uNUCESARxZvYVDfAi47vSzqKCI9ToVAct7uw408s2YXH5w2mqL8WNRxRHqcCoHkvIde3UJzwvnbc7RZSHKTCoHktKZ4kv9+dTMXnTKMk4aVRh1HJBIqBJLTnli5nd2HG7n5vHFRRxGJjAqB5Cx354E/bWLC8FJmThwadRyRyKgQSM5aunk/K6sP8olzx+ouZJLTVAgkZ/30z5sY0KeAD+q+A5LjQi0EZjbbzNabWZWZ3dbK+C+Y2Roze8PMnjOzE8PMI3JU9YF6nly9k7lnj6FvYX7UcUQiFVohMLMYcA8wB5gE3Ghmk1o0WwZMd/cpwK+Bu8LKI5LuR398izyDj79vbNRRRCIX5hrB2UCVu2909yagArg6vYG7V7p7XdD7CjA6xDwiAOw61EDF4q1cXz6aUQP7RB1HJHLm7uE8sdn1wGx3vzXovwk4x93nt9H+bmCnu3+rlXHzgHkAZWVl5RUVFV3KVFtbS2lp5h0rrlydc7y5HlrbyLNb4tx5QR+G9+2+30KZOr8gc7MpV+ccT65Zs2YtdffprY5091AewPXA/Wn9NwF3t9H2o6TWCIrae97y8nLvqsrKyi5PGybl6pzjybX7cIOf8tWF/oVHlndfoECmzi/3zM2mXJ1zPLmAJd7G92qYe8mqgfQLu48Ohv0FM7sUuB240N0bQ8wjwo9f3EhTPMlnZ50UdRSRjBHmPoLFwEQzG2dmhcBcYEF6AzObCvwIuMrda0LMIsL+I0384uXN/M0Zoxivy0mIvCO0QuDucWA+8BSwFnjU3Veb2TfM7Kqg2XeBUuBXZrbczBa08XQix+2eyirqmxPMnzUh6igiGSXUA6jdfSGwsMWwO9K6Lw3z9UWO2rz3CA++vIkbyscwsaxf1HFEMorOLJaccNeT68nPy+MLl50cdRSRjKNCIL3e0s37eGLlDj594XjK+hdHHUck46gQSK/m7nzribUM71fEvJnjo44jkpFUCKRXW7BiO8u2HOCLl52iawqJtEGFQHqtA3VNfPPxNUwZPYDrynX1EpG26CeS9FrffmIt++ua+fkt5xDL0/0GRNqiNQLplf60YQ+/WrqNT88cz6RR/aOOI5LRVAik16lvSvCVx1YybmgJ/3jJxKjjiGQ8bRqSXufOP6xly746KubNoLggFnUckYynNQLpVZ5ctYMHX97MLeeNY8b4IVHHEckKKgTSa2zdV8e//PoNzhg9gNvmnBp1HJGsoUIgvUJTPMn8h5cBcPffTqMwX4u2SEdpH4FkPXfnm4+vYcXWA/zXR6YxZnDfqCOJZBX9bJKs95M/vc0vXtnMvJnjmfPekVHHEck6KgSS1Rau3MG3nljLFe8dwW2ztV9ApCtUCCRrLdm0j88/spzyEwfxvRvOJE9nD4t0iQqBZKXFm/bxiZ8u5oSBffjxx6brfAGR46CdxZJ11u5N8IPnXmPkwGIeunUGg0sKo44kktW0RiBZZdH6Gr63tIHRg/pQMW8GIwboRjMix0trBJIV3J2f/nkT33piDSeU5lExbwZDSouijiXSK6gQSMZrjCf46mOr+NXSbVw2qYxrRx1WERDpRto0JBntrd213HDvy/xq6Tb+8eIJ3PvRcvrk6+ggke6kNQLJSMmk8+DLm7jzD+voUxjj3o9OY/ZknSwmEgYVAsk4a7Yf4uu/X81rb+9j1inD+M51UxjeXzuFRcKiQiAZY/fhRr73zHoqFm9lQJ8C7vzge/nwWWMw06YgkTCpEEjkdh5s4P4XN/LQa1toiie5+dxxfO6SiQzoWxB1NJGcoEIgkXB3VlYf5JevbOGxZdUk3LnqjFHMv3gCJw0rjTqeSE5RIZAeVXO4gT+s3Mkji7eyZschigvy+ND00XzmwpN0+WiRiKgQSKjcnbd21/LHN/fw5KodLNm8H3c4fVR/vnnNZK46YxQD+mgTkEiUVAikWyWTzoaaWl7fsp8lm/bz56o97DzUAMCpI/rxuUsmMmfySE4Z0S/ipCJylAqBdIm7s7u2kbd3H+Gt3UdYt/MQa3ccYu2Ow9Q2xgEY1LeAc08aynkThnLBxKHa9COSoUItBGY2G/gPIAbc7+53thhfBPwcKAf2Ah92901hZpL2JZLO/romqg8neemtPdQcamTXoQZ2HGyg+kA92/bXs21fHYeDL3yA0qJ8Th3Rj2unnsCZYwYy7cRBjB3SV4d+imSB0AqBmcWAe4D3A9uAxWa2wN3XpDX7JLDf3SeY2VzgO8CHw8qUjdydRNJJHP0bPOJJJ55wmhPJoDtJYzxJcyJJUzxJU/C3MZ6koTlBQ3OS+uYE9U1x6poS1DUlqG2MU9sQp7YxzqGGZg7UNXOwvplDDc24BwH+/Oo7WUoKY4we1JcTBvXhrLGDGDe0hPHDShk/tITRg/roS18kS4W5RnA2UOXuGwHMrAK4GkgvBFcDXw+6fw3cbWbm/s7XULd5dPFWvv9iHX1f/yOQ+oJtjbfRc7TT3dO64WifO6Q/ZWvtku+0SXUn3XGHpuZmYpVPkXRPPZKpcYlgfHfLzzP6FMboV5RPaXE+pUX5DC4pZNzQEgb0KWBg30KGlBSyc3MVF5x9JmX9iynrX0xpkbYkivRGFsJ3buqJza4HZrv7rUH/TcA57j4/rc2qoM22oP+toM2eFs81D5gHUFZWVl5RUdHpPMtq4rywpYH8/He/zDry+zW9TfoPXkvrsKCvZdvW+i1omJc2PhFvpqigIBieerY8S02TF3THjk5jRr5BXl5qWMwglmfEDPLzgocZBTEoyEt96RcF3YWxVHd+B2/pWFtbS2lp5h3Tr1ydl6nZlKtzjifXrFmzlrr79FZHunsoD+B6UvsFjvbfBNzdos0qYHRa/1vA0GM9b3l5uXdVZWVll6cNk3J1jnJ1XqZmU67OOZ5cwBJv43s1zMtQVwNj0vpHB8NabWNm+cAAUjuNRUSkh4RZCBYDE81snJkVAnOBBS3aLAA+HnRfDzwfVC4REekhoe39c/e4mc0HniJ1+OgD7r7azL5BahVlAfAT4BdmVgXsI1UsRESkB4V6GIi7LwQWthh2R1p3A/ChMDOIiMix6VaVIiI5ToVARCTHqRCIiOQ4FQIRkRwX2pnFYTGz3cDmLk4+FNjTbquep1ydo1ydl6nZlKtzjifXie4+rLURWVcIjoeZLfG2TrGOkHJ1jnJ1XqZmU67OCSuXNg2JiOQ4FQIRkRyXa4XgvqgDtEG5Oke5Oi9TsylX54SSK6f2EYiIyF/LtTUCERFpQYVARCTH9bpCYGYfMrPVZpY0s+ktxn3ZzKrMbL2ZXd7G9OPM7NWg3SPBJbS7O+MjZrY8eGwys+VttNtkZiuDdku6O0crr/d1M6tOy3ZFG+1mB/Owysxu64Fc3zWzdWb2hpk9ZmYD22jXI/OrvfdvZkXBZ1wVLEtjw8qS9ppjzKzSzNYEy//nWmlzkZkdTPt872jtuULIdszPxVJ+EMyvN8xsWg9kOiVtPiw3s0Nm9vkWbXpsfpnZA2ZWE9y18eiwwWb2jJltCP4OamPajwdtNpjZx1tr06627liTrQ/gNOAUYBEwPW34JGAFUASMI3U3tFgr0z8KzA267wX+LuS8/w7c0ca4TbRzx7ZuzvJ14IvttIkF8248UBjM00kh57oMyA+6vwN8J6r51ZH3D/w9cG/QPRd4pAc+u5HAtKC7H/BmK7kuAh7vqeWpo58LcAXwB1J3b50BvNrD+WLATlInXEUyv4CZwDRgVdqwu4Dbgu7bWlvugcHAxuDvoKB7UGdfv9etEbj7Wndf38qoq4EKd29097eBKuDs9AZmZsDFwK+DQQ8C14SVNXi9G4CHw3qNEJwNVLn7RndvAipIzdvQuPvT7h4Pel8hdbe7qHTk/V9NatmB1LJ0SfBZh8bdd7j760H3YWAtcEKYr9mNrgZ+7imvAAPNbGQPvv4lwFvu3tUrFhw3d3+B1D1Z0qUvR219F10OPOPu+9x9P/AMMLuzr9/rCsExnABsTevfxl//owwBDqR96bTWpjtdAOxy9w1tjHfgaTNbambzQsyRbn6wev5AG6uiHZmPYbqF1K/H1vTE/OrI+3+nTbAsHSS1bPWIYFPUVODVVka/z8xWmNkfzOz0HorU3ucS9TI1l7Z/jEUxv44qc/cdQfdOoKyVNt0y70K9MU1YzOxZYEQro25399/1dJ7WdDDjjRx7beB8d682s+HAM2a2LvjlEEou4L+Ab5L6x/0mqc1WtxzP63VHrqPzy8xuB+LAL9t4mm6fX9nGzEqB3wCfd/dDLUa/TmrzR22w/+e3wMQeiJWxn0uwD/Aq4MutjI5qfv0Vd3czC+1Y/6wsBO5+aRcmqwbGpPWPDoal20tqtTQ/+CXXWptuyWhm+cAHgfJjPEd18LfGzB4jtVniuP6BOjrvzOzHwOOtjOrIfOz2XGb2CeBK4BIPNo628hzdPr9a0ZH3f7TNtuBzHkBq2QqVmRWQKgK/dPf/aTk+vTC4+0Iz+6GZDXX3UC+u1oHPJZRlqoPmAK+7+66WI6KaX2l2mdlId98RbCqraaVNNal9GUeNJrV/tFNyadPQAmBucETHOFKV/bX0BsEXTCVwfTDo40BYaxiXAuvcfVtrI82sxMz6He0mtcN0VWttu0uL7bLXtvF6i4GJljq6qpDUavWCkHPNBv4XcJW717XRpqfmV0fe/wJSyw6klqXn2ype3SXYB/ETYK27f6+NNiOO7qsws7NJ/f+HWqA6+LksAD4WHD00AziYtkkkbG2ulUcxv1pIX47a+i56CrjMzAYFm3IvC4Z1Tk/sEe/JB6kvsG1AI7ALeCpt3O2kjvhYD8xJG74QGBV0jydVIKqAXwFFIeX8GfCZFsNGAQvTcqwIHqtJbSIJe979AlgJvBEshCNb5gr6ryB1VMpbPZSritR20OXB496WuXpyfrX2/oFvkCpUAMXBslMVLEvje2AenU9qk94bafPpCuAzR5czYH4wb1aQ2ul+bg/kavVzaZHLgHuC+bmStKP9Qs5WQuqLfUDasEjmF6litANoDr6/Pklqv9JzwAbgWWBw0HY6cH/atLcEy1oVcHNXXl+XmBARyXG5tGlIRERaoUIgIpLjVAhERHKcCoGISI5TIRARyXEqBCIiOU6FQEQkx6kQiBwnMzsruFBfcXAm7Wozmxx1LpGO0gllIt3AzL5F6oziPsA2d/+3iCOJdJgKgUg3CK47tBhoIHUpgkTEkUQ6TJuGRLrHEKCU1N3BiiPOItIpWiMQ6QZmtoDU3crGkbpY3/yII4l0WFbej0Akk5jZx4Bmd3/IzGLAS2Z2sbs/H3U2kY7QGoGISI7TPgIRkRynQiAikuNUCEREcpwKgYhIjlMhEBHJcSoEIiI5ToVARCTH/X+2yc7n0ecxoAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import math\n",
    "  \n",
    "x = np.linspace(-10, 10, 100)\n",
    "z = 1/(1 + np.exp(-x))\n",
    "\n",
    "plt.plot(x, z)\n",
    "plt.grid()\n",
    "plt.xlabel(\"x\")\n",
    "plt.ylabel(\"Sigmoid(X)\")\n",
    "  \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "688198ff-00bb-4099-8a8d-5548035642ec",
   "metadata": {},
   "source": [
    "## Rozkład Bernoulliego\n",
    "\n",
    "Prawdopodobieństwo udzielenia poprawnej odpowiedzi:\n",
    "$$\n",
    "P(y|\\mathbf {w}) = \\hat{y}^{y} \\cdot (1 - \\hat{y})^{1 - y}\n",
    "$$\n",
    "\n",
    "Prawdopodobieństwo udzielenia poprawnej odpowiedzi na całym zbiorze:\n",
    "$$\n",
    "P(\\chi|\\mathbf{w}) = \\prod\\limits_{i=1}^{n} \\hat{y}_{i}^{y_i} \\cdot (1 - \\hat{y}_i)^{1 - y_i}\n",
    "$$\n",
    "\n",
    "## Funkcja kosztu\n",
    "\n",
    "$$\n",
    "J(\\mathbf {w}|\\chi) = - \\log \\prod\\limits_{i=1}^{n} \\hat{y}_{i}^{y_i} \\cdot (1 - \\hat{y}_i)^{1 - y_i}\n",
    "$$\n",
    "$$\n",
    "= - \\sum\\limits_{i=1}^{n} y_i \\log \\hat{y}_{i} + (1 - y_i) \\log (1 - \\hat{y}_i)\n",
    "$$\n",
    "\n",
    "## Ostateczna funkcja kosztu\n",
    "\n",
    "* https://www.youtube.com/watch?v=HIQlmHxI6-0\n",
    "* https://en.wikipedia.org/wiki/Cross_entropy#Cross-entropy_loss_function_and_logistic_regression\n",
    "\n",
    "Entropia krzyżowa:\n",
    "$$\n",
    "J(y, \\hat{y}|\\mathbf{w}) = - [ y \\log \\hat{y} + (1 - y) \\log (1 - \\hat{y}) ]\n",
    "$$\n",
    "\n",
    "Pochodna kosztu po logicie:\n",
    "$$\n",
    "\\frac{d}{d z} J(y, \\hat{y}|\\mathbf{w}) = \\hat{y} - y = \\Delta\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b5285389-f8e0-4d0a-b1b2-027065c9e99f",
   "metadata": {},
   "source": [
    "## Stochastyczny spadek gradientu\n",
    "\n",
    "* https://en.wikipedia.org/wiki/Stochastic_gradient_descent\n",
    "\n",
    "$$\n",
    "\\mathbf{w}_{k+1} := \\mathbf{w}_{k} - \\eta \\Delta\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8c01464e-2c92-490d-9637-b3b284f7766d",
   "metadata": {},
   "source": [
    "## Przykłady"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "0e145d4c-b3ba-45a2-a577-68586e88d7d9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 0, 0, 1])"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.linear_model import LogisticRegression\n",
    "\n",
    "classifier = LogisticRegression(penalty='none')\n",
    "\n",
    "x = [[0, 0], [0, 1], [1, 0], [1, 1]]\n",
    "y = [0, 0, 0, 1]\n",
    "\n",
    "classifier.fit(x, y)\n",
    "classifier.predict(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "7690f19f-6eff-4572-9e7d-46368b5ad9d7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 1, 1, 1])"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.linear_model import LogisticRegression\n",
    "\n",
    "classifier = LogisticRegression(penalty='none')\n",
    "\n",
    "x = [[0, 0], [0, 1], [1, 0], [1, 1]]\n",
    "y = [0, 1, 1, 1]\n",
    "\n",
    "classifier.fit(x, y)\n",
    "classifier.predict(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "ebe45240-7407-4911-b684-4cd9264f4746",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0 0 0 0]\n",
      "accuracy score: 0.5\n",
      "confusion matrix:\n",
      " [[2 0]\n",
      " [2 0]]\n",
      "classification_report:\n",
      "               precision    recall  f1-score   support\n",
      "\n",
      "           0       0.50      1.00      0.67         2\n",
      "           1       0.00      0.00      0.00         2\n",
      "\n",
      "    accuracy                           0.50         4\n",
      "   macro avg       0.25      0.50      0.33         4\n",
      "weighted avg       0.25      0.50      0.33         4\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/pankracy/.virtualenvs/jupyter/lib/python3.8/site-packages/sklearn/metrics/_classification.py:1245: UndefinedMetricWarning: Precision and F-score are ill-defined and being set to 0.0 in labels with no predicted samples. Use `zero_division` parameter to control this behavior.\n",
      "  _warn_prf(average, modifier, msg_start, len(result))\n",
      "/home/pankracy/.virtualenvs/jupyter/lib/python3.8/site-packages/sklearn/metrics/_classification.py:1245: UndefinedMetricWarning: Precision and F-score are ill-defined and being set to 0.0 in labels with no predicted samples. Use `zero_division` parameter to control this behavior.\n",
      "  _warn_prf(average, modifier, msg_start, len(result))\n",
      "/home/pankracy/.virtualenvs/jupyter/lib/python3.8/site-packages/sklearn/metrics/_classification.py:1245: UndefinedMetricWarning: Precision and F-score are ill-defined and being set to 0.0 in labels with no predicted samples. Use `zero_division` parameter to control this behavior.\n",
      "  _warn_prf(average, modifier, msg_start, len(result))\n"
     ]
    }
   ],
   "source": [
    "from sklearn.linear_model import LogisticRegression\n",
    "from sklearn.metrics import confusion_matrix, classification_report, accuracy_score\n",
    "\n",
    "classifier = LogisticRegression(penalty='none')\n",
    "\n",
    "x = [[0, 0], [0, 1], [1, 0], [1, 1]]\n",
    "y = [0, 1, 1, 0]\n",
    "\n",
    "classifier.fit(x, y)\n",
    "prediction = classifier.predict(x)\n",
    "print(prediction)\n",
    "print(\"accuracy score:\", accuracy_score(y, prediction))\n",
    "print(\"confusion matrix:\\n\", confusion_matrix(y, prediction))\n",
    "print(\"classification_report:\\n\", classification_report(y, classifier.predict(x)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "4b3d7d1c-35a4-4236-b341-2f734496ab73",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0 1 1 0]\n",
      "accuracy score: 1.0\n",
      "confusion matrix:\n",
      " [[2 0]\n",
      " [0 2]]\n",
      "classification_report:\n",
      "               precision    recall  f1-score   support\n",
      "\n",
      "           0       1.00      1.00      1.00         2\n",
      "           1       1.00      1.00      1.00         2\n",
      "\n",
      "    accuracy                           1.00         4\n",
      "   macro avg       1.00      1.00      1.00         4\n",
      "weighted avg       1.00      1.00      1.00         4\n",
      "\n"
     ]
    }
   ],
   "source": [
    "from sklearn import svm\n",
    "\n",
    "# classifier = svm.SVC(kernel='linear')\n",
    "classifier = svm.SVC(kernel='rbf')\n",
    "\n",
    "x = [[0, 0], [0, 1], [1, 0], [1, 1]]\n",
    "y = [0, 1, 1, 0]\n",
    "\n",
    "classifier.fit(x, y)\n",
    "prediction = classifier.predict(x)\n",
    "print(prediction)\n",
    "print(\"accuracy score:\", accuracy_score(y, prediction))\n",
    "print(\"confusion matrix:\\n\", confusion_matrix(y, prediction))\n",
    "print(\"classification_report:\\n\", classification_report(y, classifier.predict(x)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "id": "23dbc1dd-2a7a-43ac-b833-e3d1fbf6811a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.25, 0.75, 0.75, 1.25])"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.linear_model import LinearRegression\n",
    "\n",
    "classifier = LinearRegression()\n",
    "\n",
    "x = [[0, 0], [0, 1], [1, 0], [1, 1]]\n",
    "y = [0, 1, 1, 1]\n",
    "\n",
    "classifier.fit(x, y)\n",
    "classifier.predict(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "id": "29cb209a-8135-4245-a06f-1caac0f18bc9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0, 1, 1, 1, 1, 1, 1, 1, 1, -1, 0, 1, 1, 1, 1, 1, 1, -1, -1, -1, 0, 1, 1, 1, 1, -1, -1, -1, -1, -1, 0, 1, 1, -1, -1, -1, -1, -1, -1, -1, 0, -1, -1, -1, -1, -1, -1, -1, -1, 1, 0, -1, -1, -1, -1, -1, -1, 1, 1, 1, 0, -1, -1, -1, -1, 1, 1, 1, 1, 1, 0, -1, -1, 1, 1, 1, 1, 1, 1, 1, 0]\n",
      "[[-4, -4], [-4, -3], [-4, -2], [-4, -1], [-4, 0], [-4, 1], [-4, 2], [-4, 3], [-4, 4], [-3, -4], [-3, -3], [-3, -2], [-3, -1], [-3, 0], [-3, 1], [-3, 2], [-3, 3], [-3, 4], [-2, -4], [-2, -3], [-2, -2], [-2, -1], [-2, 0], [-2, 1], [-2, 2], [-2, 3], [-2, 4], [-1, -4], [-1, -3], [-1, -2], [-1, -1], [-1, 0], [-1, 1], [-1, 2], [-1, 3], [-1, 4], [0, -4], [0, -3], [0, -2], [0, -1], [0, 0], [0, 1], [0, 2], [0, 3], [0, 4], [1, -4], [1, -3], [1, -2], [1, -1], [1, 0], [1, 1], [1, 2], [1, 3], [1, 4], [2, -4], [2, -3], [2, -2], [2, -1], [2, 0], [2, 1], [2, 2], [2, 3], [2, 4], [3, -4], [3, -3], [3, -2], [3, -1], [3, 0], [3, 1], [3, 2], [3, 3], [3, 4], [4, -4], [4, -3], [4, -2], [4, -1], [4, 0], [4, 1], [4, 2], [4, 3], [4, 4]]\n"
     ]
    }
   ],
   "source": [
    "x = [\n",
    "    [-4],\n",
    "    [-3],\n",
    "    [-2],\n",
    "    [-1],\n",
    "    [0],\n",
    "    [1],\n",
    "    [2],\n",
    "    [3],\n",
    "    [4]\n",
    "]\n",
    "y = [8, 6, 4, 2, 0, 1, 3, 5, 7]\n",
    "\n",
    "def compare(a, b):\n",
    "    if a > b:\n",
    "        return 1\n",
    "    elif a < b:\n",
    "        return -1\n",
    "    return 0\n",
    "\n",
    "data = []\n",
    "y_new = []\n",
    "for i in range(len(x)):\n",
    "    for j in range(len(x)):\n",
    "        data.append(x[i] + x[j])\n",
    "        y_new.append(compare(y[i], y[j]))\n",
    "print(y_new)\n",
    "print(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "id": "26539c73-c6c2-4374-aeee-63bf33e3f962",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 1  1  1  1  1  1  1  1  1 -1  1  1  1  1  1  1  1 -1 -1 -1  1  1  1  1\n",
      "  1 -1 -1 -1 -1 -1 -1  1  1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1\n",
      " -1  1  1 -1 -1 -1 -1 -1 -1  1  1  1  1 -1 -1 -1 -1  1  1  1  1  1 -1 -1\n",
      " -1  1  1  1  1  1  1  1 -1]\n",
      "accuracy score: 0.8888888888888888\n",
      "confusion matrix:\n",
      " [[36  0  0]\n",
      " [ 4  0  5]\n",
      " [ 0  0 36]]\n",
      "classification_report:\n",
      "               precision    recall  f1-score   support\n",
      "\n",
      "          -1       0.90      1.00      0.95        36\n",
      "           0       0.00      0.00      0.00         9\n",
      "           1       0.88      1.00      0.94        36\n",
      "\n",
      "    accuracy                           0.89        81\n",
      "   macro avg       0.59      0.67      0.63        81\n",
      "weighted avg       0.79      0.89      0.84        81\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/pankracy/.virtualenvs/jupyter/lib/python3.8/site-packages/sklearn/metrics/_classification.py:1245: UndefinedMetricWarning: Precision and F-score are ill-defined and being set to 0.0 in labels with no predicted samples. Use `zero_division` parameter to control this behavior.\n",
      "  _warn_prf(average, modifier, msg_start, len(result))\n",
      "/home/pankracy/.virtualenvs/jupyter/lib/python3.8/site-packages/sklearn/metrics/_classification.py:1245: UndefinedMetricWarning: Precision and F-score are ill-defined and being set to 0.0 in labels with no predicted samples. Use `zero_division` parameter to control this behavior.\n",
      "  _warn_prf(average, modifier, msg_start, len(result))\n",
      "/home/pankracy/.virtualenvs/jupyter/lib/python3.8/site-packages/sklearn/metrics/_classification.py:1245: UndefinedMetricWarning: Precision and F-score are ill-defined and being set to 0.0 in labels with no predicted samples. Use `zero_division` parameter to control this behavior.\n",
      "  _warn_prf(average, modifier, msg_start, len(result))\n"
     ]
    }
   ],
   "source": [
    "classifier = svm.SVC(kernel='rbf')\n",
    "# classifier = svm.SVC(kernel='linear')\n",
    "# classifier = LogisticRegression(penalty='none')\n",
    "classifier.fit(data, y_new)\n",
    "prediction = classifier.predict(data)\n",
    "print(prediction)\n",
    "print(\"accuracy score:\", accuracy_score(y_new, prediction))\n",
    "print(\"confusion matrix:\\n\", confusion_matrix(y_new, prediction))\n",
    "print(\"classification_report:\\n\", classification_report(y_new, classifier.predict(data)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "81121517-e774-4533-a14f-0717ecf25a77",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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