diff --git a/tutorials/Basic Probe Training and Evaluation.ipynb b/tutorials/Basic Probe Training and Evaluation.ipynb
new file mode 100644
index 0000000..5dfd219
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+++ b/tutorials/Basic Probe Training and Evaluation.ipynb	
@@ -0,0 +1,1275 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "id": "4aebc884",
+   "metadata": {},
+   "source": [
+    "# Imports"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "id": "a7c82f46",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import neurox.data.extraction.transformers_extractor as transformers_extractor\n",
+    "import neurox.data.loader as data_loader\n",
+    "import neurox.interpretation.utils as utils\n",
+    "import neurox.interpretation.linear_probe as linear_probe"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "0fe254ad",
+   "metadata": {},
+   "source": [
+    "# Data"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "id": "2faee3d2",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# define paths to your word and label files \n",
+    "train_sentences = \"data/pos_train.word\"\n",
+    "train_labels = \"data/pos_train.label\"\n",
+    "dev_sentences = \"data/pos_dev.word\"\n",
+    "dev_labels = \"data/pos_dev.label\" \n",
+    "test_sentences = \"data/pos_test.word\"\n",
+    "test_labels = \"data/pos_test.label\""
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "id": "95c05680",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Pierre Vinken , 61 years old , will join the board as a nonexecutive director Nov. 29 .\r\n",
+      "Mr. Vinken is chairman of Elsevier N.V. , the Dutch publishing group .\r\n",
+      "Rudolph Agnew , 55 years old and former chairman of Consolidated Gold Fields PLC , was named a nonexecutive director of this British industrial conglomerate .\r\n",
+      "A form of asbestos once used to make Kent cigarette filters has caused a high percentage of cancer deaths among a group of workers exposed to it more than 30 years ago , researchers reported .\r\n",
+      "The asbestos fiber , crocidolite , is unusually resilient once it enters the lungs , with even brief exposures to it causing symptoms that show up decades later , researchers said .\r\n",
+      "Lorillard Inc. , the unit of New York-based Loews Corp. that makes Kent cigarettes , stopped using crocidolite in its Micronite cigarette filters in 1956 .\r\n",
+      "Although preliminary findings were reported more than a year ago , the latest results appear in today 's New England Journal of Medicine , a forum likely to bring new attention to the problem .\r\n",
+      "A Lorillard spokewoman said , `` This is an old story .\r\n",
+      "We 're talking about years ago before anyone heard of asbestos having any questionable properties .\r\n",
+      "There is no asbestos in our products now . ''\r\n"
+     ]
+    }
+   ],
+   "source": [
+    "# inspect data\n",
+    "!cat \"data/pos_train.word\""
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "id": "ac26e05c",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "NNP NNP , CD NNS JJ , MD VB DT NN IN DT JJ NN NNP CD .\r\n",
+      "NNP NNP VBZ NN IN NNP NNP , DT NNP VBG NN .\r\n",
+      "NNP NNP , CD NNS JJ CC JJ NN IN NNP NNP NNP NNP , VBD VBN DT JJ NN IN DT JJ JJ NN .\r\n",
+      "DT NN IN NN RB VBN TO VB NNP NN NNS VBZ VBN DT JJ NN IN NN NNS IN DT NN IN NNS VBN TO PRP RBR IN CD NNS IN , NNS VBD .\r\n",
+      "DT NN NN , NN , VBZ RB JJ IN PRP VBZ DT NNS , IN RB JJ NNS TO PRP VBG NNS WDT VBP RP NNS JJ , NNS VBD .\r\n",
+      "NNP NNP , DT NN IN JJ JJ NNP NNP WDT VBZ NNP NNS , VBD VBG NN IN PRP$ NN NN NNS IN CD .\r\n",
+      "IN JJ NNS VBD VBN RBR IN DT NN IN , DT JJS NNS VBP IN NN POS NNP NNP NNP IN NNP , DT NN JJ TO VB JJ NN TO DT NN .\r\n",
+      "DT NNP NN VBD , `` DT VBZ DT JJ NN .\r\n",
+      "PRP VBP VBG IN NNS IN IN NN VBD IN NN VBG DT JJ NNS .\r\n",
+      "EX VBZ DT NN IN PRP$ NNS RB . ''\r\n"
+     ]
+    }
+   ],
+   "source": [
+    "!cat \"data/pos_train.label\""
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "5926d06c",
+   "metadata": {},
+   "source": [
+    "# Extract Representations"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "id": "a9f92698",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Loading model: bert-base-uncased\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "Some weights of the model checkpoint at bert-base-uncased were not used when initializing BertModel: ['cls.predictions.decoder.weight', 'cls.predictions.bias', 'cls.predictions.transform.LayerNorm.bias', 'cls.predictions.transform.dense.weight', 'cls.seq_relationship.bias', 'cls.predictions.transform.LayerNorm.weight', 'cls.seq_relationship.weight', 'cls.predictions.transform.dense.bias']\n",
+      "- This IS expected if you are initializing BertModel from the checkpoint of a model trained on another task or with another architecture (e.g. initializing a BertForSequenceClassification model from a BertForPreTraining model).\n",
+      "- This IS NOT expected if you are initializing BertModel from the checkpoint of a model that you expect to be exactly identical (initializing a BertForSequenceClassification model from a BertForSequenceClassification model).\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Reading input corpus\n",
+      "Preparing output file\n",
+      "Extracting representations from model\n",
+      "Sentence         : \"Pierre Vinken , 61 years old , will join the board as a nonexecutive director Nov. 29 .\"\n",
+      "Original    (018): ['Pierre', 'Vinken', ',', '61', 'years', 'old', ',', 'will', 'join', 'the', 'board', 'as', 'a', 'nonexecutive', 'director', 'Nov.', '29', '.']\n",
+      "Tokenized   (025): ['[CLS]', 'pierre', 'vin', '##ken', ',', '61', 'years', 'old', ',', 'will', 'join', 'the', 'board', 'as', 'a', 'none', '##x', '##ec', '##utive', 'director', 'nov', '.', '29', '.', '[SEP]']\n",
+      "Filtered   (023): ['pierre', 'vin', '##ken', ',', '61', 'years', 'old', ',', 'will', 'join', 'the', 'board', 'as', 'a', 'none', '##x', '##ec', '##utive', 'director', 'nov', '.', '29', '.']\n",
+      "Detokenized (018): ['pierre', 'vin##ken', ',', '61', 'years', 'old', ',', 'will', 'join', 'the', 'board', 'as', 'a', 'none##x##ec##utive', 'director', 'nov.', '29', '.']\n",
+      "Counter: 23\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 18, 768)\n",
+      "# Extracted words:  18\n",
+      "Sentence         : \"Mr. Vinken is chairman of Elsevier N.V. , the Dutch publishing group .\"\n",
+      "Original    (013): ['Mr.', 'Vinken', 'is', 'chairman', 'of', 'Elsevier', 'N.V.', ',', 'the', 'Dutch', 'publishing', 'group', '.']\n",
+      "Tokenized   (021): ['[CLS]', 'mr', '.', 'vin', '##ken', 'is', 'chairman', 'of', 'else', '##vier', 'n', '.', 'v', '.', ',', 'the', 'dutch', 'publishing', 'group', '.', '[SEP]']\n",
+      "Filtered   (019): ['mr', '.', 'vin', '##ken', 'is', 'chairman', 'of', 'else', '##vier', 'n', '.', 'v', '.', ',', 'the', 'dutch', 'publishing', 'group', '.']\n",
+      "Detokenized (013): ['mr.', 'vin##ken', 'is', 'chairman', 'of', 'else##vier', 'n.v.', ',', 'the', 'dutch', 'publishing', 'group', '.']\n",
+      "Counter: 19\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 13, 768)\n",
+      "# Extracted words:  13\n",
+      "Sentence         : \"Rudolph Agnew , 55 years old and former chairman of Consolidated Gold Fields PLC , was named a nonexecutive director of this British industrial conglomerate .\"\n",
+      "Original    (026): ['Rudolph', 'Agnew', ',', '55', 'years', 'old', 'and', 'former', 'chairman', 'of', 'Consolidated', 'Gold', 'Fields', 'PLC', ',', 'was', 'named', 'a', 'nonexecutive', 'director', 'of', 'this', 'British', 'industrial', 'conglomerate', '.']\n",
+      "Tokenized   (033): ['[CLS]', 'rudolph', 'ag', '##ne', '##w', ',', '55', 'years', 'old', 'and', 'former', 'chairman', 'of', 'consolidated', 'gold', 'fields', 'plc', ',', 'was', 'named', 'a', 'none', '##x', '##ec', '##utive', 'director', 'of', 'this', 'british', 'industrial', 'conglomerate', '.', '[SEP]']\n",
+      "Filtered   (031): ['rudolph', 'ag', '##ne', '##w', ',', '55', 'years', 'old', 'and', 'former', 'chairman', 'of', 'consolidated', 'gold', 'fields', 'plc', ',', 'was', 'named', 'a', 'none', '##x', '##ec', '##utive', 'director', 'of', 'this', 'british', 'industrial', 'conglomerate', '.']\n",
+      "Detokenized (026): ['rudolph', 'ag##ne##w', ',', '55', 'years', 'old', 'and', 'former', 'chairman', 'of', 'consolidated', 'gold', 'fields', 'plc', ',', 'was', 'named', 'a', 'none##x##ec##utive', 'director', 'of', 'this', 'british', 'industrial', 'conglomerate', '.']\n",
+      "Counter: 31\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 26, 768)\n",
+      "# Extracted words:  26\n",
+      "Sentence         : \"A form of asbestos once used to make Kent cigarette filters has caused a high percentage of cancer deaths among a group of workers exposed to it more than 30 years ago , researchers reported .\"\n",
+      "Original    (036): ['A', 'form', 'of', 'asbestos', 'once', 'used', 'to', 'make', 'Kent', 'cigarette', 'filters', 'has', 'caused', 'a', 'high', 'percentage', 'of', 'cancer', 'deaths', 'among', 'a', 'group', 'of', 'workers', 'exposed', 'to', 'it', 'more', 'than', '30', 'years', 'ago', ',', 'researchers', 'reported', '.']\n",
+      "Tokenized   (038): ['[CLS]', 'a', 'form', 'of', 'asbestos', 'once', 'used', 'to', 'make', 'kent', 'cigarette', 'filters', 'has', 'caused', 'a', 'high', 'percentage', 'of', 'cancer', 'deaths', 'among', 'a', 'group', 'of', 'workers', 'exposed', 'to', 'it', 'more', 'than', '30', 'years', 'ago', ',', 'researchers', 'reported', '.', '[SEP]']\n",
+      "Filtered   (036): ['a', 'form', 'of', 'asbestos', 'once', 'used', 'to', 'make', 'kent', 'cigarette', 'filters', 'has', 'caused', 'a', 'high', 'percentage', 'of', 'cancer', 'deaths', 'among', 'a', 'group', 'of', 'workers', 'exposed', 'to', 'it', 'more', 'than', '30', 'years', 'ago', ',', 'researchers', 'reported', '.']\n",
+      "Detokenized (036): ['a', 'form', 'of', 'asbestos', 'once', 'used', 'to', 'make', 'kent', 'cigarette', 'filters', 'has', 'caused', 'a', 'high', 'percentage', 'of', 'cancer', 'deaths', 'among', 'a', 'group', 'of', 'workers', 'exposed', 'to', 'it', 'more', 'than', '30', 'years', 'ago', ',', 'researchers', 'reported', '.']\n",
+      "Counter: 36\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 36, 768)\n",
+      "# Extracted words:  36\n",
+      "Sentence         : \"The asbestos fiber , crocidolite , is unusually resilient once it enters the lungs , with even brief exposures to it causing symptoms that show up decades later , researchers said .\"\n",
+      "Original    (032): ['The', 'asbestos', 'fiber', ',', 'crocidolite', ',', 'is', 'unusually', 'resilient', 'once', 'it', 'enters', 'the', 'lungs', ',', 'with', 'even', 'brief', 'exposures', 'to', 'it', 'causing', 'symptoms', 'that', 'show', 'up', 'decades', 'later', ',', 'researchers', 'said', '.']\n",
+      "Tokenized   (040): ['[CLS]', 'the', 'asbestos', 'fiber', ',', 'cr', '##oc', '##ido', '##lite', ',', 'is', 'unusually', 'res', '##ili', '##ent', 'once', 'it', 'enters', 'the', 'lungs', ',', 'with', 'even', 'brief', 'exposure', '##s', 'to', 'it', 'causing', 'symptoms', 'that', 'show', 'up', 'decades', 'later', ',', 'researchers', 'said', '.', '[SEP]']\n",
+      "Filtered   (038): ['the', 'asbestos', 'fiber', ',', 'cr', '##oc', '##ido', '##lite', ',', 'is', 'unusually', 'res', '##ili', '##ent', 'once', 'it', 'enters', 'the', 'lungs', ',', 'with', 'even', 'brief', 'exposure', '##s', 'to', 'it', 'causing', 'symptoms', 'that', 'show', 'up', 'decades', 'later', ',', 'researchers', 'said', '.']\n",
+      "Detokenized (032): ['the', 'asbestos', 'fiber', ',', 'cr##oc##ido##lite', ',', 'is', 'unusually', 'res##ili##ent', 'once', 'it', 'enters', 'the', 'lungs', ',', 'with', 'even', 'brief', 'exposure##s', 'to', 'it', 'causing', 'symptoms', 'that', 'show', 'up', 'decades', 'later', ',', 'researchers', 'said', '.']\n",
+      "Counter: 38\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 32, 768)\n",
+      "# Extracted words:  32\n",
+      "Sentence         : \"Lorillard Inc. , the unit of New York-based Loews Corp. that makes Kent cigarettes , stopped using crocidolite in its Micronite cigarette filters in 1956 .\"\n",
+      "Original    (026): ['Lorillard', 'Inc.', ',', 'the', 'unit', 'of', 'New', 'York-based', 'Loews', 'Corp.', 'that', 'makes', 'Kent', 'cigarettes', ',', 'stopped', 'using', 'crocidolite', 'in', 'its', 'Micronite', 'cigarette', 'filters', 'in', '1956', '.']\n",
+      "Tokenized   (041): ['[CLS]', 'lori', '##llar', '##d', 'inc', '.', ',', 'the', 'unit', 'of', 'new', 'york', '-', 'based', 'lo', '##ew', '##s', 'corp', '.', 'that', 'makes', 'kent', 'cigarettes', ',', 'stopped', 'using', 'cr', '##oc', '##ido', '##lite', 'in', 'its', 'micro', '##ni', '##te', 'cigarette', 'filters', 'in', '1956', '.', '[SEP]']\n",
+      "Filtered   (039): ['lori', '##llar', '##d', 'inc', '.', ',', 'the', 'unit', 'of', 'new', 'york', '-', 'based', 'lo', '##ew', '##s', 'corp', '.', 'that', 'makes', 'kent', 'cigarettes', ',', 'stopped', 'using', 'cr', '##oc', '##ido', '##lite', 'in', 'its', 'micro', '##ni', '##te', 'cigarette', 'filters', 'in', '1956', '.']\n",
+      "Detokenized (026): ['lori##llar##d', 'inc.', ',', 'the', 'unit', 'of', 'new', 'york-based', 'lo##ew##s', 'corp.', 'that', 'makes', 'kent', 'cigarettes', ',', 'stopped', 'using', 'cr##oc##ido##lite', 'in', 'its', 'micro##ni##te', 'cigarette', 'filters', 'in', '1956', '.']\n",
+      "Counter: 39\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 26, 768)\n",
+      "# Extracted words:  26\n",
+      "Sentence         : \"Although preliminary findings were reported more than a year ago , the latest results appear in today 's New England Journal of Medicine , a forum likely to bring new attention to the problem .\"\n",
+      "Original    (035): ['Although', 'preliminary', 'findings', 'were', 'reported', 'more', 'than', 'a', 'year', 'ago', ',', 'the', 'latest', 'results', 'appear', 'in', 'today', \"'s\", 'New', 'England', 'Journal', 'of', 'Medicine', ',', 'a', 'forum', 'likely', 'to', 'bring', 'new', 'attention', 'to', 'the', 'problem', '.']\n",
+      "Tokenized   (038): ['[CLS]', 'although', 'preliminary', 'findings', 'were', 'reported', 'more', 'than', 'a', 'year', 'ago', ',', 'the', 'latest', 'results', 'appear', 'in', 'today', \"'\", 's', 'new', 'england', 'journal', 'of', 'medicine', ',', 'a', 'forum', 'likely', 'to', 'bring', 'new', 'attention', 'to', 'the', 'problem', '.', '[SEP]']\n",
+      "Filtered   (036): ['although', 'preliminary', 'findings', 'were', 'reported', 'more', 'than', 'a', 'year', 'ago', ',', 'the', 'latest', 'results', 'appear', 'in', 'today', \"'\", 's', 'new', 'england', 'journal', 'of', 'medicine', ',', 'a', 'forum', 'likely', 'to', 'bring', 'new', 'attention', 'to', 'the', 'problem', '.']\n",
+      "Detokenized (035): ['although', 'preliminary', 'findings', 'were', 'reported', 'more', 'than', 'a', 'year', 'ago', ',', 'the', 'latest', 'results', 'appear', 'in', 'today', \"'s\", 'new', 'england', 'journal', 'of', 'medicine', ',', 'a', 'forum', 'likely', 'to', 'bring', 'new', 'attention', 'to', 'the', 'problem', '.']\n",
+      "Counter: 36\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 35, 768)\n",
+      "# Extracted words:  35\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Sentence         : \"A Lorillard spokewoman said , `` This is an old story .\"\n",
+      "Original    (012): ['A', 'Lorillard', 'spokewoman', 'said', ',', '``', 'This', 'is', 'an', 'old', 'story', '.']\n",
+      "Tokenized   (018): ['[CLS]', 'a', 'lori', '##llar', '##d', 'spoke', '##woman', 'said', ',', '`', '`', 'this', 'is', 'an', 'old', 'story', '.', '[SEP]']\n",
+      "Filtered   (016): ['a', 'lori', '##llar', '##d', 'spoke', '##woman', 'said', ',', '`', '`', 'this', 'is', 'an', 'old', 'story', '.']\n",
+      "Detokenized (012): ['a', 'lori##llar##d', 'spoke##woman', 'said', ',', '``', 'this', 'is', 'an', 'old', 'story', '.']\n",
+      "Counter: 16\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 12, 768)\n",
+      "# Extracted words:  12\n",
+      "Sentence         : \"We 're talking about years ago before anyone heard of asbestos having any questionable properties .\"\n",
+      "Original    (016): ['We', \"'re\", 'talking', 'about', 'years', 'ago', 'before', 'anyone', 'heard', 'of', 'asbestos', 'having', 'any', 'questionable', 'properties', '.']\n",
+      "Tokenized   (019): ['[CLS]', 'we', \"'\", 're', 'talking', 'about', 'years', 'ago', 'before', 'anyone', 'heard', 'of', 'asbestos', 'having', 'any', 'questionable', 'properties', '.', '[SEP]']\n",
+      "Filtered   (017): ['we', \"'\", 're', 'talking', 'about', 'years', 'ago', 'before', 'anyone', 'heard', 'of', 'asbestos', 'having', 'any', 'questionable', 'properties', '.']\n",
+      "Detokenized (016): ['we', \"'re\", 'talking', 'about', 'years', 'ago', 'before', 'anyone', 'heard', 'of', 'asbestos', 'having', 'any', 'questionable', 'properties', '.']\n",
+      "Counter: 17\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 16, 768)\n",
+      "# Extracted words:  16\n",
+      "Sentence         : \"There is no asbestos in our products now . ''\"\n",
+      "Original    (010): ['There', 'is', 'no', 'asbestos', 'in', 'our', 'products', 'now', '.', \"''\"]\n",
+      "Tokenized   (013): ['[CLS]', 'there', 'is', 'no', 'asbestos', 'in', 'our', 'products', 'now', '.', \"'\", \"'\", '[SEP]']\n",
+      "Filtered   (011): ['there', 'is', 'no', 'asbestos', 'in', 'our', 'products', 'now', '.', \"'\", \"'\"]\n",
+      "Detokenized (010): ['there', 'is', 'no', 'asbestos', 'in', 'our', 'products', 'now', '.', \"''\"]\n",
+      "Counter: 11\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 10, 768)\n",
+      "# Extracted words:  10\n"
+     ]
+    }
+   ],
+   "source": [
+    "# extract activations for the train sentences \n",
+    "transformers_extractor.extract_representations('bert-base-uncased',\n",
+    "    train_sentences,\n",
+    "    'train_activations.json',\n",
+    "    aggregation=\"average\" #last, first\n",
+    ")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 9,
+   "id": "89b1cb3d",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Loading model: bert-base-uncased\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "Some weights of the model checkpoint at bert-base-uncased were not used when initializing BertModel: ['cls.predictions.decoder.weight', 'cls.predictions.bias', 'cls.predictions.transform.LayerNorm.bias', 'cls.predictions.transform.dense.weight', 'cls.seq_relationship.bias', 'cls.predictions.transform.LayerNorm.weight', 'cls.seq_relationship.weight', 'cls.predictions.transform.dense.bias']\n",
+      "- This IS expected if you are initializing BertModel from the checkpoint of a model trained on another task or with another architecture (e.g. initializing a BertForSequenceClassification model from a BertForPreTraining model).\n",
+      "- This IS NOT expected if you are initializing BertModel from the checkpoint of a model that you expect to be exactly identical (initializing a BertForSequenceClassification model from a BertForSequenceClassification model).\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Reading input corpus\n",
+      "Preparing output file\n",
+      "Extracting representations from model\n",
+      "Sentence         : \"The Arizona Corporations Commission authorized an 11.5 % rate increase at Tucson Electric Power Co. , substantially lower than recommended last month by a commission hearing officer and barely half the rise sought by the utility .\"\n",
+      "Original    (037): ['The', 'Arizona', 'Corporations', 'Commission', 'authorized', 'an', '11.5', '%', 'rate', 'increase', 'at', 'Tucson', 'Electric', 'Power', 'Co.', ',', 'substantially', 'lower', 'than', 'recommended', 'last', 'month', 'by', 'a', 'commission', 'hearing', 'officer', 'and', 'barely', 'half', 'the', 'rise', 'sought', 'by', 'the', 'utility', '.']\n",
+      "Tokenized   (042): ['[CLS]', 'the', 'arizona', 'corporations', 'commission', 'authorized', 'an', '11', '.', '5', '%', 'rate', 'increase', 'at', 'tucson', 'electric', 'power', 'co', '.', ',', 'substantially', 'lower', 'than', 'recommended', 'last', 'month', 'by', 'a', 'commission', 'hearing', 'officer', 'and', 'barely', 'half', 'the', 'rise', 'sought', 'by', 'the', 'utility', '.', '[SEP]']\n",
+      "Filtered   (040): ['the', 'arizona', 'corporations', 'commission', 'authorized', 'an', '11', '.', '5', '%', 'rate', 'increase', 'at', 'tucson', 'electric', 'power', 'co', '.', ',', 'substantially', 'lower', 'than', 'recommended', 'last', 'month', 'by', 'a', 'commission', 'hearing', 'officer', 'and', 'barely', 'half', 'the', 'rise', 'sought', 'by', 'the', 'utility', '.']\n",
+      "Detokenized (037): ['the', 'arizona', 'corporations', 'commission', 'authorized', 'an', '11.5', '%', 'rate', 'increase', 'at', 'tucson', 'electric', 'power', 'co.', ',', 'substantially', 'lower', 'than', 'recommended', 'last', 'month', 'by', 'a', 'commission', 'hearing', 'officer', 'and', 'barely', 'half', 'the', 'rise', 'sought', 'by', 'the', 'utility', '.']\n",
+      "Counter: 40\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 37, 768)\n",
+      "# Extracted words:  37\n",
+      "Sentence         : \"The ruling follows a host of problems at Tucson Electric , including major write-downs , a 60 % slash in the common stock dividend and the departure of former Chairman Einar Greve during a company investigation of his stock sales .\"\n",
+      "Original    (041): ['The', 'ruling', 'follows', 'a', 'host', 'of', 'problems', 'at', 'Tucson', 'Electric', ',', 'including', 'major', 'write-downs', ',', 'a', '60', '%', 'slash', 'in', 'the', 'common', 'stock', 'dividend', 'and', 'the', 'departure', 'of', 'former', 'Chairman', 'Einar', 'Greve', 'during', 'a', 'company', 'investigation', 'of', 'his', 'stock', 'sales', '.']\n",
+      "Tokenized   (048): ['[CLS]', 'the', 'ruling', 'follows', 'a', 'host', 'of', 'problems', 'at', 'tucson', 'electric', ',', 'including', 'major', 'write', '-', 'downs', ',', 'a', '60', '%', 'slash', 'in', 'the', 'common', 'stock', 'divide', '##nd', 'and', 'the', 'departure', 'of', 'former', 'chairman', 'ein', '##ar', 'gr', '##eve', 'during', 'a', 'company', 'investigation', 'of', 'his', 'stock', 'sales', '.', '[SEP]']\n",
+      "Filtered   (046): ['the', 'ruling', 'follows', 'a', 'host', 'of', 'problems', 'at', 'tucson', 'electric', ',', 'including', 'major', 'write', '-', 'downs', ',', 'a', '60', '%', 'slash', 'in', 'the', 'common', 'stock', 'divide', '##nd', 'and', 'the', 'departure', 'of', 'former', 'chairman', 'ein', '##ar', 'gr', '##eve', 'during', 'a', 'company', 'investigation', 'of', 'his', 'stock', 'sales', '.']\n",
+      "Detokenized (041): ['the', 'ruling', 'follows', 'a', 'host', 'of', 'problems', 'at', 'tucson', 'electric', ',', 'including', 'major', 'write-downs', ',', 'a', '60', '%', 'slash', 'in', 'the', 'common', 'stock', 'divide##nd', 'and', 'the', 'departure', 'of', 'former', 'chairman', 'ein##ar', 'gr##eve', 'during', 'a', 'company', 'investigation', 'of', 'his', 'stock', 'sales', '.']\n",
+      "Counter: 46\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 41, 768)\n",
+      "# Extracted words:  41\n",
+      "Sentence         : \"The Arizona regulatory ruling calls for $ 42 million in added revenue yearly , compared with a $ 57 million boost proposed by the commission hearing officer .\"\n",
+      "Original    (028): ['The', 'Arizona', 'regulatory', 'ruling', 'calls', 'for', '$', '42', 'million', 'in', 'added', 'revenue', 'yearly', ',', 'compared', 'with', 'a', '$', '57', 'million', 'boost', 'proposed', 'by', 'the', 'commission', 'hearing', 'officer', '.']\n",
+      "Tokenized   (030): ['[CLS]', 'the', 'arizona', 'regulatory', 'ruling', 'calls', 'for', '$', '42', 'million', 'in', 'added', 'revenue', 'yearly', ',', 'compared', 'with', 'a', '$', '57', 'million', 'boost', 'proposed', 'by', 'the', 'commission', 'hearing', 'officer', '.', '[SEP]']\n",
+      "Filtered   (028): ['the', 'arizona', 'regulatory', 'ruling', 'calls', 'for', '$', '42', 'million', 'in', 'added', 'revenue', 'yearly', ',', 'compared', 'with', 'a', '$', '57', 'million', 'boost', 'proposed', 'by', 'the', 'commission', 'hearing', 'officer', '.']\n",
+      "Detokenized (028): ['the', 'arizona', 'regulatory', 'ruling', 'calls', 'for', '$', '42', 'million', 'in', 'added', 'revenue', 'yearly', ',', 'compared', 'with', 'a', '$', '57', 'million', 'boost', 'proposed', 'by', 'the', 'commission', 'hearing', 'officer', '.']\n",
+      "Counter: 28\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 28, 768)\n",
+      "# Extracted words:  28\n",
+      "Sentence         : \"The company had sought increases totaling $ 80.3 million , or 22 % .\"\n",
+      "Original    (014): ['The', 'company', 'had', 'sought', 'increases', 'totaling', '$', '80.3', 'million', ',', 'or', '22', '%', '.']\n",
+      "Tokenized   (018): ['[CLS]', 'the', 'company', 'had', 'sought', 'increases', 'totaling', '$', '80', '.', '3', 'million', ',', 'or', '22', '%', '.', '[SEP]']\n",
+      "Filtered   (016): ['the', 'company', 'had', 'sought', 'increases', 'totaling', '$', '80', '.', '3', 'million', ',', 'or', '22', '%', '.']\n",
+      "Detokenized (014): ['the', 'company', 'had', 'sought', 'increases', 'totaling', '$', '80.3', 'million', ',', 'or', '22', '%', '.']\n",
+      "Counter: 16\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 14, 768)\n",
+      "# Extracted words:  14\n",
+      "Sentence         : \"The decision was announced after trading ended .\"\n",
+      "Original    (008): ['The', 'decision', 'was', 'announced', 'after', 'trading', 'ended', '.']\n",
+      "Tokenized   (010): ['[CLS]', 'the', 'decision', 'was', 'announced', 'after', 'trading', 'ended', '.', '[SEP]']\n",
+      "Filtered   (008): ['the', 'decision', 'was', 'announced', 'after', 'trading', 'ended', '.']\n",
+      "Detokenized (008): ['the', 'decision', 'was', 'announced', 'after', 'trading', 'ended', '.']\n",
+      "Counter: 8\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 8, 768)\n",
+      "# Extracted words:  8\n",
+      "Sentence         : \"Tucson Electric closed at $ 20.875 a share , down 25 cents , in New York Stock Exchange composite trading .\"\n",
+      "Original    (021): ['Tucson', 'Electric', 'closed', 'at', '$', '20.875', 'a', 'share', ',', 'down', '25', 'cents', ',', 'in', 'New', 'York', 'Stock', 'Exchange', 'composite', 'trading', '.']\n",
+      "Tokenized   (025): ['[CLS]', 'tucson', 'electric', 'closed', 'at', '$', '20', '.', '875', 'a', 'share', ',', 'down', '25', 'cents', ',', 'in', 'new', 'york', 'stock', 'exchange', 'composite', 'trading', '.', '[SEP]']\n",
+      "Filtered   (023): ['tucson', 'electric', 'closed', 'at', '$', '20', '.', '875', 'a', 'share', ',', 'down', '25', 'cents', ',', 'in', 'new', 'york', 'stock', 'exchange', 'composite', 'trading', '.']\n",
+      "Detokenized (021): ['tucson', 'electric', 'closed', 'at', '$', '20.875', 'a', 'share', ',', 'down', '25', 'cents', ',', 'in', 'new', 'york', 'stock', 'exchange', 'composite', 'trading', '.']\n",
+      "Counter: 23\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 21, 768)\n",
+      "# Extracted words:  21\n",
+      "Sentence         : \"A Tucson Electric spokesman said the utility was disappointed by the commission 's decision and `` concerned about the financial integrity of the company .\"\n",
+      "Original    (025): ['A', 'Tucson', 'Electric', 'spokesman', 'said', 'the', 'utility', 'was', 'disappointed', 'by', 'the', 'commission', \"'s\", 'decision', 'and', '``', 'concerned', 'about', 'the', 'financial', 'integrity', 'of', 'the', 'company', '.']\n",
+      "Tokenized   (029): ['[CLS]', 'a', 'tucson', 'electric', 'spokesman', 'said', 'the', 'utility', 'was', 'disappointed', 'by', 'the', 'commission', \"'\", 's', 'decision', 'and', '`', '`', 'concerned', 'about', 'the', 'financial', 'integrity', 'of', 'the', 'company', '.', '[SEP]']\n",
+      "Filtered   (027): ['a', 'tucson', 'electric', 'spokesman', 'said', 'the', 'utility', 'was', 'disappointed', 'by', 'the', 'commission', \"'\", 's', 'decision', 'and', '`', '`', 'concerned', 'about', 'the', 'financial', 'integrity', 'of', 'the', 'company', '.']\n",
+      "Detokenized (025): ['a', 'tucson', 'electric', 'spokesman', 'said', 'the', 'utility', 'was', 'disappointed', 'by', 'the', 'commission', \"'s\", 'decision', 'and', '``', 'concerned', 'about', 'the', 'financial', 'integrity', 'of', 'the', 'company', '.']\n",
+      "Counter: 27\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 25, 768)\n",
+      "# Extracted words:  25\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Sentence         : \"South Korean President Roh Tae Woo , brushing aside suggestions that the won be revalued again , said the currency 's current level against the dollar is `` appropriate . ''\"\n",
+      "Original    (031): ['South', 'Korean', 'President', 'Roh', 'Tae', 'Woo', ',', 'brushing', 'aside', 'suggestions', 'that', 'the', 'won', 'be', 'revalued', 'again', ',', 'said', 'the', 'currency', \"'s\", 'current', 'level', 'against', 'the', 'dollar', 'is', '``', 'appropriate', '.', \"''\"]\n",
+      "Tokenized   (040): ['[CLS]', 'south', 'korean', 'president', 'ro', '##h', 'tae', 'woo', ',', 'brushing', 'aside', 'suggestions', 'that', 'the', 'won', 'be', 'rev', '##al', '##ue', '##d', 'again', ',', 'said', 'the', 'currency', \"'\", 's', 'current', 'level', 'against', 'the', 'dollar', 'is', '`', '`', 'appropriate', '.', \"'\", \"'\", '[SEP]']\n",
+      "Filtered   (038): ['south', 'korean', 'president', 'ro', '##h', 'tae', 'woo', ',', 'brushing', 'aside', 'suggestions', 'that', 'the', 'won', 'be', 'rev', '##al', '##ue', '##d', 'again', ',', 'said', 'the', 'currency', \"'\", 's', 'current', 'level', 'against', 'the', 'dollar', 'is', '`', '`', 'appropriate', '.', \"'\", \"'\"]\n",
+      "Detokenized (031): ['south', 'korean', 'president', 'ro##h', 'tae', 'woo', ',', 'brushing', 'aside', 'suggestions', 'that', 'the', 'won', 'be', 'rev##al##ue##d', 'again', ',', 'said', 'the', 'currency', \"'s\", 'current', 'level', 'against', 'the', 'dollar', 'is', '``', 'appropriate', '.', \"''\"]\n",
+      "Counter: 38\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 31, 768)\n",
+      "# Extracted words:  31\n",
+      "Sentence         : \"His comments , made in response to reporters ' questions at the National Press Club here , signaled that Seoul is resisting U.S. pressure for a further rise in the currency 's value .\"\n",
+      "Original    (034): ['His', 'comments', ',', 'made', 'in', 'response', 'to', 'reporters', \"'\", 'questions', 'at', 'the', 'National', 'Press', 'Club', 'here', ',', 'signaled', 'that', 'Seoul', 'is', 'resisting', 'U.S.', 'pressure', 'for', 'a', 'further', 'rise', 'in', 'the', 'currency', \"'s\", 'value', '.']\n",
+      "Tokenized   (040): ['[CLS]', 'his', 'comments', ',', 'made', 'in', 'response', 'to', 'reporters', \"'\", 'questions', 'at', 'the', 'national', 'press', 'club', 'here', ',', 'signaled', 'that', 'seoul', 'is', 'resisting', 'u', '.', 's', '.', 'pressure', 'for', 'a', 'further', 'rise', 'in', 'the', 'currency', \"'\", 's', 'value', '.', '[SEP]']\n",
+      "Filtered   (038): ['his', 'comments', ',', 'made', 'in', 'response', 'to', 'reporters', \"'\", 'questions', 'at', 'the', 'national', 'press', 'club', 'here', ',', 'signaled', 'that', 'seoul', 'is', 'resisting', 'u', '.', 's', '.', 'pressure', 'for', 'a', 'further', 'rise', 'in', 'the', 'currency', \"'\", 's', 'value', '.']\n",
+      "Detokenized (034): ['his', 'comments', ',', 'made', 'in', 'response', 'to', 'reporters', \"'\", 'questions', 'at', 'the', 'national', 'press', 'club', 'here', ',', 'signaled', 'that', 'seoul', 'is', 'resisting', 'u.s.', 'pressure', 'for', 'a', 'further', 'rise', 'in', 'the', 'currency', \"'s\", 'value', '.']\n",
+      "Counter: 38\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 34, 768)\n",
+      "# Extracted words:  34\n",
+      "Sentence         : \"The U.S. wants a higher won to make South Korea 's exports more expensive and help trim Seoul 's trade surplus .\"\n",
+      "Original    (022): ['The', 'U.S.', 'wants', 'a', 'higher', 'won', 'to', 'make', 'South', 'Korea', \"'s\", 'exports', 'more', 'expensive', 'and', 'help', 'trim', 'Seoul', \"'s\", 'trade', 'surplus', '.']\n",
+      "Tokenized   (029): ['[CLS]', 'the', 'u', '.', 's', '.', 'wants', 'a', 'higher', 'won', 'to', 'make', 'south', 'korea', \"'\", 's', 'exports', 'more', 'expensive', 'and', 'help', 'trim', 'seoul', \"'\", 's', 'trade', 'surplus', '.', '[SEP]']\n",
+      "Filtered   (027): ['the', 'u', '.', 's', '.', 'wants', 'a', 'higher', 'won', 'to', 'make', 'south', 'korea', \"'\", 's', 'exports', 'more', 'expensive', 'and', 'help', 'trim', 'seoul', \"'\", 's', 'trade', 'surplus', '.']\n",
+      "Detokenized (022): ['the', 'u.s.', 'wants', 'a', 'higher', 'won', 'to', 'make', 'south', 'korea', \"'s\", 'exports', 'more', 'expensive', 'and', 'help', 'trim', 'seoul', \"'s\", 'trade', 'surplus', '.']\n",
+      "Counter: 27\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 22, 768)\n",
+      "# Extracted words:  22\n"
+     ]
+    }
+   ],
+   "source": [
+    "# extract activations for the dev sentences \n",
+    "transformers_extractor.extract_representations('bert-base-uncased',\n",
+    "    dev_sentences,\n",
+    "    'dev_activations.json',\n",
+    "    aggregation=\"average\" #last, first\n",
+    ")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "id": "68db479c",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Loading model: bert-base-uncased\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "Some weights of the model checkpoint at bert-base-uncased were not used when initializing BertModel: ['cls.predictions.decoder.weight', 'cls.predictions.bias', 'cls.predictions.transform.LayerNorm.bias', 'cls.predictions.transform.dense.weight', 'cls.seq_relationship.bias', 'cls.predictions.transform.LayerNorm.weight', 'cls.seq_relationship.weight', 'cls.predictions.transform.dense.bias']\n",
+      "- This IS expected if you are initializing BertModel from the checkpoint of a model trained on another task or with another architecture (e.g. initializing a BertForSequenceClassification model from a BertForPreTraining model).\n",
+      "- This IS NOT expected if you are initializing BertModel from the checkpoint of a model that you expect to be exactly identical (initializing a BertForSequenceClassification model from a BertForSequenceClassification model).\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Reading input corpus\n",
+      "Preparing output file\n",
+      "Extracting representations from model\n",
+      "Sentence         : \"Rockwell International Corp. 's Tulsa unit said it signed a tentative agreement extending its contract with Boeing Co. to provide structural parts for Boeing 's 747 jetliners .\"\n",
+      "Original    (028): ['Rockwell', 'International', 'Corp.', \"'s\", 'Tulsa', 'unit', 'said', 'it', 'signed', 'a', 'tentative', 'agreement', 'extending', 'its', 'contract', 'with', 'Boeing', 'Co.', 'to', 'provide', 'structural', 'parts', 'for', 'Boeing', \"'s\", '747', 'jetliners', '.']\n",
+      "Tokenized   (036): ['[CLS]', 'rockwell', 'international', 'corp', '.', \"'\", 's', 'tulsa', 'unit', 'said', 'it', 'signed', 'a', 'tentative', 'agreement', 'extending', 'its', 'contract', 'with', 'boeing', 'co', '.', 'to', 'provide', 'structural', 'parts', 'for', 'boeing', \"'\", 's', '747', 'jet', '##liner', '##s', '.', '[SEP]']\n",
+      "Filtered   (034): ['rockwell', 'international', 'corp', '.', \"'\", 's', 'tulsa', 'unit', 'said', 'it', 'signed', 'a', 'tentative', 'agreement', 'extending', 'its', 'contract', 'with', 'boeing', 'co', '.', 'to', 'provide', 'structural', 'parts', 'for', 'boeing', \"'\", 's', '747', 'jet', '##liner', '##s', '.']\n",
+      "Detokenized (028): ['rockwell', 'international', 'corp.', \"'s\", 'tulsa', 'unit', 'said', 'it', 'signed', 'a', 'tentative', 'agreement', 'extending', 'its', 'contract', 'with', 'boeing', 'co.', 'to', 'provide', 'structural', 'parts', 'for', 'boeing', \"'s\", '747', 'jet##liner##s', '.']\n",
+      "Counter: 34\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 28, 768)\n",
+      "# Extracted words:  28\n",
+      "Sentence         : \"Rockwell said the agreement calls for it to supply 200 additional so-called shipsets for the planes .\"\n",
+      "Original    (017): ['Rockwell', 'said', 'the', 'agreement', 'calls', 'for', 'it', 'to', 'supply', '200', 'additional', 'so-called', 'shipsets', 'for', 'the', 'planes', '.']\n",
+      "Tokenized   (022): ['[CLS]', 'rockwell', 'said', 'the', 'agreement', 'calls', 'for', 'it', 'to', 'supply', '200', 'additional', 'so', '-', 'called', 'ships', '##ets', 'for', 'the', 'planes', '.', '[SEP]']\n",
+      "Filtered   (020): ['rockwell', 'said', 'the', 'agreement', 'calls', 'for', 'it', 'to', 'supply', '200', 'additional', 'so', '-', 'called', 'ships', '##ets', 'for', 'the', 'planes', '.']\n",
+      "Detokenized (017): ['rockwell', 'said', 'the', 'agreement', 'calls', 'for', 'it', 'to', 'supply', '200', 'additional', 'so-called', 'ships##ets', 'for', 'the', 'planes', '.']\n",
+      "Counter: 20\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 17, 768)\n",
+      "# Extracted words:  17\n",
+      "Sentence         : \"These include , among other parts , each jetliner 's two major bulkheads , a pressure floor , torque box , fixed leading edges for the wings and an aft keel beam .\"\n",
+      "Original    (033): ['These', 'include', ',', 'among', 'other', 'parts', ',', 'each', 'jetliner', \"'s\", 'two', 'major', 'bulkheads', ',', 'a', 'pressure', 'floor', ',', 'torque', 'box', ',', 'fixed', 'leading', 'edges', 'for', 'the', 'wings', 'and', 'an', 'aft', 'keel', 'beam', '.']\n",
+      "Tokenized   (038): ['[CLS]', 'these', 'include', ',', 'among', 'other', 'parts', ',', 'each', 'jet', '##liner', \"'\", 's', 'two', 'major', 'bulk', '##heads', ',', 'a', 'pressure', 'floor', ',', 'torque', 'box', ',', 'fixed', 'leading', 'edges', 'for', 'the', 'wings', 'and', 'an', 'aft', 'keel', 'beam', '.', '[SEP]']\n",
+      "Filtered   (036): ['these', 'include', ',', 'among', 'other', 'parts', ',', 'each', 'jet', '##liner', \"'\", 's', 'two', 'major', 'bulk', '##heads', ',', 'a', 'pressure', 'floor', ',', 'torque', 'box', ',', 'fixed', 'leading', 'edges', 'for', 'the', 'wings', 'and', 'an', 'aft', 'keel', 'beam', '.']\n",
+      "Detokenized (033): ['these', 'include', ',', 'among', 'other', 'parts', ',', 'each', 'jet##liner', \"'s\", 'two', 'major', 'bulk##heads', ',', 'a', 'pressure', 'floor', ',', 'torque', 'box', ',', 'fixed', 'leading', 'edges', 'for', 'the', 'wings', 'and', 'an', 'aft', 'keel', 'beam', '.']\n",
+      "Counter: 36\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 33, 768)\n",
+      "# Extracted words:  33\n",
+      "Sentence         : \"Under the existing contract , Rockwell said , it has already delivered 793 of the shipsets to Boeing .\"\n",
+      "Original    (019): ['Under', 'the', 'existing', 'contract', ',', 'Rockwell', 'said', ',', 'it', 'has', 'already', 'delivered', '793', 'of', 'the', 'shipsets', 'to', 'Boeing', '.']\n",
+      "Tokenized   (023): ['[CLS]', 'under', 'the', 'existing', 'contract', ',', 'rockwell', 'said', ',', 'it', 'has', 'already', 'delivered', '79', '##3', 'of', 'the', 'ships', '##ets', 'to', 'boeing', '.', '[SEP]']\n",
+      "Filtered   (021): ['under', 'the', 'existing', 'contract', ',', 'rockwell', 'said', ',', 'it', 'has', 'already', 'delivered', '79', '##3', 'of', 'the', 'ships', '##ets', 'to', 'boeing', '.']\n",
+      "Detokenized (019): ['under', 'the', 'existing', 'contract', ',', 'rockwell', 'said', ',', 'it', 'has', 'already', 'delivered', '79##3', 'of', 'the', 'ships##ets', 'to', 'boeing', '.']\n",
+      "Counter: 21\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 19, 768)\n",
+      "# Extracted words:  19\n",
+      "Sentence         : \"Rockwell , based in El Segundo , Calif. , is an aerospace , electronics , automotive and graphics concern .\"\n",
+      "Original    (020): ['Rockwell', ',', 'based', 'in', 'El', 'Segundo', ',', 'Calif.', ',', 'is', 'an', 'aerospace', ',', 'electronics', ',', 'automotive', 'and', 'graphics', 'concern', '.']\n",
+      "Tokenized   (026): ['[CLS]', 'rockwell', ',', 'based', 'in', 'el', 'se', '##gun', '##do', ',', 'cal', '##if', '.', ',', 'is', 'an', 'aerospace', ',', 'electronics', ',', 'automotive', 'and', 'graphics', 'concern', '.', '[SEP]']\n",
+      "Filtered   (024): ['rockwell', ',', 'based', 'in', 'el', 'se', '##gun', '##do', ',', 'cal', '##if', '.', ',', 'is', 'an', 'aerospace', ',', 'electronics', ',', 'automotive', 'and', 'graphics', 'concern', '.']\n",
+      "Detokenized (020): ['rockwell', ',', 'based', 'in', 'el', 'se##gun##do', ',', 'cal##if.', ',', 'is', 'an', 'aerospace', ',', 'electronics', ',', 'automotive', 'and', 'graphics', 'concern', '.']\n",
+      "Counter: 24\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 20, 768)\n",
+      "# Extracted words:  20\n",
+      "Sentence         : \"Frank Carlucci III was named to this telecommunications company 's board , filling the vacancy created by the death of William Sobey last May .\"\n",
+      "Original    (025): ['Frank', 'Carlucci', 'III', 'was', 'named', 'to', 'this', 'telecommunications', 'company', \"'s\", 'board', ',', 'filling', 'the', 'vacancy', 'created', 'by', 'the', 'death', 'of', 'William', 'Sobey', 'last', 'May', '.']\n",
+      "Tokenized   (030): ['[CLS]', 'frank', 'carl', '##ucci', 'iii', 'was', 'named', 'to', 'this', 'telecommunications', 'company', \"'\", 's', 'board', ',', 'filling', 'the', 'vacancy', 'created', 'by', 'the', 'death', 'of', 'william', 'sob', '##ey', 'last', 'may', '.', '[SEP]']\n",
+      "Filtered   (028): ['frank', 'carl', '##ucci', 'iii', 'was', 'named', 'to', 'this', 'telecommunications', 'company', \"'\", 's', 'board', ',', 'filling', 'the', 'vacancy', 'created', 'by', 'the', 'death', 'of', 'william', 'sob', '##ey', 'last', 'may', '.']\n",
+      "Detokenized (025): ['frank', 'carl##ucci', 'iii', 'was', 'named', 'to', 'this', 'telecommunications', 'company', \"'s\", 'board', ',', 'filling', 'the', 'vacancy', 'created', 'by', 'the', 'death', 'of', 'william', 'sob##ey', 'last', 'may', '.']\n",
+      "Counter: 28\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 25, 768)\n",
+      "# Extracted words:  25\n",
+      "Sentence         : \"Mr. Carlucci , 59 years old , served as defense secretary in the Reagan administration .\"\n",
+      "Original    (016): ['Mr.', 'Carlucci', ',', '59', 'years', 'old', ',', 'served', 'as', 'defense', 'secretary', 'in', 'the', 'Reagan', 'administration', '.']\n",
+      "Tokenized   (020): ['[CLS]', 'mr', '.', 'carl', '##ucci', ',', '59', 'years', 'old', ',', 'served', 'as', 'defense', 'secretary', 'in', 'the', 'reagan', 'administration', '.', '[SEP]']\n",
+      "Filtered   (018): ['mr', '.', 'carl', '##ucci', ',', '59', 'years', 'old', ',', 'served', 'as', 'defense', 'secretary', 'in', 'the', 'reagan', 'administration', '.']\n",
+      "Detokenized (016): ['mr.', 'carl##ucci', ',', '59', 'years', 'old', ',', 'served', 'as', 'defense', 'secretary', 'in', 'the', 'reagan', 'administration', '.']\n",
+      "Counter: 18\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 16, 768)\n",
+      "# Extracted words:  16\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Sentence         : \"In January , he accepted the position of vice chairman of Carlyle Group , a merchant banking concern .\"\n",
+      "Original    (019): ['In', 'January', ',', 'he', 'accepted', 'the', 'position', 'of', 'vice', 'chairman', 'of', 'Carlyle', 'Group', ',', 'a', 'merchant', 'banking', 'concern', '.']\n",
+      "Tokenized   (022): ['[CLS]', 'in', 'january', ',', 'he', 'accepted', 'the', 'position', 'of', 'vice', 'chairman', 'of', 'carly', '##le', 'group', ',', 'a', 'merchant', 'banking', 'concern', '.', '[SEP]']\n",
+      "Filtered   (020): ['in', 'january', ',', 'he', 'accepted', 'the', 'position', 'of', 'vice', 'chairman', 'of', 'carly', '##le', 'group', ',', 'a', 'merchant', 'banking', 'concern', '.']\n",
+      "Detokenized (019): ['in', 'january', ',', 'he', 'accepted', 'the', 'position', 'of', 'vice', 'chairman', 'of', 'carly##le', 'group', ',', 'a', 'merchant', 'banking', 'concern', '.']\n",
+      "Counter: 20\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 19, 768)\n",
+      "# Extracted words:  19\n",
+      "Sentence         : \"SHEARSON LEHMAN HUTTON Inc .\"\n",
+      "Original    (005): ['SHEARSON', 'LEHMAN', 'HUTTON', 'Inc', '.']\n",
+      "Tokenized   (008): ['[CLS]', 'shear', '##son', 'lehman', 'hutton', 'inc', '.', '[SEP]']\n",
+      "Filtered   (006): ['shear', '##son', 'lehman', 'hutton', 'inc', '.']\n",
+      "Detokenized (005): ['shear##son', 'lehman', 'hutton', 'inc', '.']\n",
+      "Counter: 6\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 5, 768)\n",
+      "# Extracted words:  5\n",
+      "Sentence         : \"Thomas E. Meador , 42 years old , was named president and chief operating officer of Balcor Co. , a Skokie , Ill. , subsidiary of this New York investment banking firm .\"\n",
+      "Original    (033): ['Thomas', 'E.', 'Meador', ',', '42', 'years', 'old', ',', 'was', 'named', 'president', 'and', 'chief', 'operating', 'officer', 'of', 'Balcor', 'Co.', ',', 'a', 'Skokie', ',', 'Ill.', ',', 'subsidiary', 'of', 'this', 'New', 'York', 'investment', 'banking', 'firm', '.']\n",
+      "Tokenized   (042): ['[CLS]', 'thomas', 'e', '.', 'mead', '##or', ',', '42', 'years', 'old', ',', 'was', 'named', 'president', 'and', 'chief', 'operating', 'officer', 'of', 'bal', '##cor', 'co', '.', ',', 'a', 'sk', '##oki', '##e', ',', 'ill', '.', ',', 'subsidiary', 'of', 'this', 'new', 'york', 'investment', 'banking', 'firm', '.', '[SEP]']\n",
+      "Filtered   (040): ['thomas', 'e', '.', 'mead', '##or', ',', '42', 'years', 'old', ',', 'was', 'named', 'president', 'and', 'chief', 'operating', 'officer', 'of', 'bal', '##cor', 'co', '.', ',', 'a', 'sk', '##oki', '##e', ',', 'ill', '.', ',', 'subsidiary', 'of', 'this', 'new', 'york', 'investment', 'banking', 'firm', '.']\n",
+      "Detokenized (033): ['thomas', 'e.', 'mead##or', ',', '42', 'years', 'old', ',', 'was', 'named', 'president', 'and', 'chief', 'operating', 'officer', 'of', 'bal##cor', 'co.', ',', 'a', 'sk##oki##e', ',', 'ill.', ',', 'subsidiary', 'of', 'this', 'new', 'york', 'investment', 'banking', 'firm', '.']\n",
+      "Counter: 40\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 33, 768)\n",
+      "# Extracted words:  33\n"
+     ]
+    }
+   ],
+   "source": [
+    "# extract activations for the test sentences \n",
+    "transformers_extractor.extract_representations('bert-base-uncased',\n",
+    "    test_sentences,\n",
+    "    'test_activations.json',\n",
+    "    aggregation=\"average\" #last, first\n",
+    ")"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "3c5ef91a",
+   "metadata": {},
+   "source": [
+    "# Train Linear Probe "
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "id": "9ae96309",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Loading json activations from train_activations.json...\n",
+      "10 13.0\n"
+     ]
+    }
+   ],
+   "source": [
+    "# add code for training a probe here\n",
+    "activations, num_layers = data_loader.load_activations('train_activations.json', 768)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 12,
+   "id": "00d7fc1c",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "tokens = data_loader.load_data(train_sentences, train_labels, activations, 512)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "id": "3c47f507",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Number of tokens:  224\n",
+      "length of source dictionary:  142\n",
+      "length of target dictionary:  29\n",
+      "224\n",
+      "Total instances: 224\n",
+      "['cancer', 'year', 'decades', 'British', 'Micronite', 'years', 'fiber', 'bring', 'attention', '29', 'nonexecutive', 'products', 'about', 'it', '55', 'caused', 'ago', 'There', 'even', 'Kent']\n",
+      "Number of samples:  224\n",
+      "Stats: Labels with their frequencies in the final set\n",
+      "JJS 1\n",
+      "VBN 5\n",
+      "NNS 19\n",
+      "CD 5\n",
+      "RB 4\n",
+      "CC 1\n",
+      "VBP 3\n",
+      "`` 1\n",
+      "TO 5\n",
+      ". 10\n",
+      "MD 1\n",
+      "VBZ 7\n",
+      "JJ 18\n",
+      "'' 1\n",
+      "WDT 2\n",
+      "POS 1\n",
+      "NNP 25\n",
+      "IN 25\n",
+      ", 15\n",
+      "RBR 2\n",
+      "RP 1\n",
+      "VB 3\n",
+      "VBD 7\n",
+      "PRP 4\n",
+      "NN 30\n",
+      "PRP$ 2\n",
+      "VBG 5\n",
+      "DT 20\n",
+      "EX 1\n"
+     ]
+    }
+   ],
+   "source": [
+    "X, y, mapping = utils.create_tensors(tokens, activations, 'NN')\n",
+    "label2idx, idx2label, src2idx, idx2src = mapping"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 14,
+   "id": "08d843df",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Training classification probe\n",
+      "Creating model...\n",
+      "Number of training instances: 224\n",
+      "Number of classes: 29\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.007191181182861328,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [1/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "eba06fdfd72d408db10891833132a1cc",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [1/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [1/10], Loss: 0.1105\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004636287689208984,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [2/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "d5fb0de6543a4759b7edfb25723d1cd6",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [2/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [2/10], Loss: 0.0470\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.00424647331237793,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [3/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "8caa32ef0b2f460780a5669886a1d0ee",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [3/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [3/10], Loss: 0.0447\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004083156585693359,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [4/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "422c823b649e470ba9c5e9be876d27a4",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [4/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [4/10], Loss: 0.0408\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004159212112426758,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [5/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "af1157d28ef342aca601bac1ef6be78e",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [5/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [5/10], Loss: 0.0353\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004272937774658203,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [6/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "982a60059c344f87b5056dec04befd16",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [6/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [6/10], Loss: 0.0297\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004262685775756836,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [7/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "e22e4ca57a514237a477bee164fce139",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [7/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [7/10], Loss: 0.0248\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004319429397583008,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [8/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "e9b7a93ef17a4054af988010fc5f2731",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [8/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [8/10], Loss: 0.0209\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004349470138549805,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [9/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "3c2a73043ddc41e5a76214783ccc36c5",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [9/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [9/10], Loss: 0.0180\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004022836685180664,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [10/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "8361f68eb15f419c9d7195a238c97ce9",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [10/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [10/10], Loss: 0.0159\n"
+     ]
+    }
+   ],
+   "source": [
+    "probe = linear_probe.train_logistic_regression_probe(X, y, lambda_l1=0.001, lambda_l2=0.001)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "378bbc45",
+   "metadata": {},
+   "source": [
+    "# Evaluate Linear Probe"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "9e6a616f",
+   "metadata": {},
+   "source": [
+    "## Evaluate On Dev data"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 15,
+   "id": "814e3d0f",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Loading json activations from dev_activations.json...\n",
+      "10 13.0\n",
+      "Number of tokens:  261\n",
+      "length of source dictionary:  158\n",
+      "length of target dictionary:  26\n",
+      "261\n",
+      "Total instances: 261\n",
+      "['Tae', 'including', 'decision', 'expensive', '25', 'follows', 'Korean', 'hearing', 'about', 'Einar', 'aside', \"''\", 'value', 'half', 'trade', 'after', 'U.S.', 'lower', 'a', 'be']\n",
+      "Number of samples:  261\n",
+      "Stats: Labels with their frequencies in the final set\n",
+      "$ 4\n",
+      "VBN 9\n",
+      "NNS 10\n",
+      "CD 11\n",
+      "RB 6\n",
+      "JJR 3\n",
+      "CC 5\n",
+      "`` 2\n",
+      "TO 2\n",
+      ". 10\n",
+      "VBZ 5\n",
+      "JJ 14\n",
+      "'' 1\n",
+      "PDT 1\n",
+      "POS 6\n",
+      "NNP 34\n",
+      "IN 27\n",
+      ", 11\n",
+      "RBR 1\n",
+      "RP 1\n",
+      "VBD 9\n",
+      "VB 4\n",
+      "NN 49\n",
+      "PRP$ 2\n",
+      "VBG 4\n",
+      "DT 30\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004069089889526367,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "Evaluating",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "bcaa6983b9a64efab692740298e61d66",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "Evaluating: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Score (accuracy) of the probe: 0.15\n"
+     ]
+    },
+    {
+     "data": {
+      "text/plain": [
+       "{'__OVERALL__': 0.14942528735632185}"
+      ]
+     },
+     "execution_count": 15,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "activations, num_layers = data_loader.load_activations('dev_activations.json', 768)\n",
+    "tokens = data_loader.load_data(dev_sentences, dev_labels, activations, 512)\n",
+    "X_dev, y_dev, mapping = utils.create_tensors(tokens, activations, 'NN')\n",
+    "scores = linear_probe.evaluate_probe(probe, X_dev, y_dev)\n",
+    "scores"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "c8e5e222",
+   "metadata": {},
+   "source": [
+    "## Evaluate On Test Data"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 16,
+   "id": "4e74198e",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Loading json activations from test_activations.json...\n",
+      "10 13.0\n",
+      "Number of tokens:  215\n",
+      "length of source dictionary:  134\n",
+      "length of target dictionary:  21\n",
+      "215\n",
+      "Total instances: 215\n",
+      "['Segundo', 'death', 'E.', 'signed', 'fixed', 'years', 'provide', 'agreement', 'it', '200', 'each', 'secretary', 'jetliners', 'already', 'Meador', 'Carlucci', 'vacancy', 'Thomas', 'a', 'planes']\n",
+      "Number of samples:  215\n",
+      "Stats: Labels with their frequencies in the final set\n",
+      "VBN 6\n",
+      "NNS 14\n",
+      "CD 6\n",
+      "RB 1\n",
+      "CC 3\n",
+      "VBP 1\n",
+      "TO 4\n",
+      ". 10\n",
+      "VBZ 3\n",
+      "JJ 11\n",
+      "POS 4\n",
+      "NNP 39\n",
+      "IN 18\n",
+      ", 22\n",
+      "VB 2\n",
+      "VBD 8\n",
+      "PRP 4\n",
+      "NN 34\n",
+      "PRP$ 1\n",
+      "VBG 5\n",
+      "DT 19\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.00395965576171875,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "Evaluating",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "24577df11420440386f55e0f7d2b7655",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "Evaluating: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Score (accuracy) of the probe: 0.00\n"
+     ]
+    },
+    {
+     "data": {
+      "text/plain": [
+       "{'__OVERALL__': 0.004651162790697674}"
+      ]
+     },
+     "execution_count": 16,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "activations, num_layers = data_loader.load_activations('test_activations.json', 768)\n",
+    "tokens = data_loader.load_data(test_sentences, test_labels, activations, 512)\n",
+    "X_test, y_test, mapping = utils.create_tensors(tokens, activations, 'NN')\n",
+    "scores = linear_probe.evaluate_probe(probe, X_test, y_test)\n",
+    "scores"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "34681f12",
+   "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": "3.9.12"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/tutorials/Binary Annotation.ipynb b/tutorials/Binary Annotation.ipynb
new file mode 100644
index 0000000..aba41c9
--- /dev/null
+++ b/tutorials/Binary Annotation.ipynb	
@@ -0,0 +1,292 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "id": "43e1eb03",
+   "metadata": {},
+   "source": [
+    "# Binary Annotation"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "9261b9d3",
+   "metadata": {},
+   "source": [
+    "In this notebook we will use the neurox library to create a binary labeled dataset based on a pattern. we will be using the annotate data function from the neurox.data.annotate module"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "30cff3a2",
+   "metadata": {},
+   "source": [
+    "# Imports "
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "id": "07d2a3e7",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "from neurox.data.annotate import annotate_data\n",
+    "import neurox.data.extraction.transformers_extractor as transformers_extractor\n",
+    "import neurox.data.loader as data_loader\n",
+    "import re"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "82ad2203",
+   "metadata": {},
+   "source": [
+    "# Inspect data"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "id": "7f1aed1f",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "In the year 1969, Neil Armstrong became the first person to set foot on the moon during the Apollo 11 mission.\r\n",
+      "The Berlin Wall, which divided East and West Germany, stood from 1961 until its fall in 1989.\r\n",
+      "In 1776, the United States declared its independence from Great Britain with the signing of the Declaration of Independence.\r\n",
+      "The year 1945 marked the end of World War II, with the surrender of Germany and Japan.\r\n",
+      "The internet as we know it today began to take shape in 1969, when the first host-to-host connection was established between two computers.\r\n",
+      "The devastating earthquake and tsunami in Japan occurred in 2011, causing widespread destruction and a nuclear disaster at the Fukushima Daiichi power plant.\r\n",
+      "The Chernobyl nuclear disaster took place in 1986, when a reactor at the Chernobyl power plant in Ukraine exploded, releasing a significant amount of radioactive material.\r\n",
+      "The year 1492 is famous for Christopher Columbus's first voyage to the Americas, which opened up a new era of exploration and colonization.\r\n",
+      "The Women's Suffrage Movement achieved a significant victory in 1920 with the ratification of the 19th Amendment, granting women the right to vote in the United States.\r\n",
+      "The year 2008 saw the global financial crisis, which originated in the United States and had a profound impact on the world economy."
+     ]
+    }
+   ],
+   "source": [
+    "!cat \"data/sentences.txt\""
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "47403b27",
+   "metadata": {},
+   "source": [
+    "# Extract Activations"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "id": "67555fa7",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Loading model: bert-base-uncased\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "Some weights of the model checkpoint at bert-base-uncased were not used when initializing BertModel: ['cls.predictions.transform.dense.bias', 'cls.predictions.decoder.weight', 'cls.predictions.transform.LayerNorm.weight', 'cls.seq_relationship.weight', 'cls.seq_relationship.bias', 'cls.predictions.bias', 'cls.predictions.transform.dense.weight', 'cls.predictions.transform.LayerNorm.bias']\n",
+      "- This IS expected if you are initializing BertModel from the checkpoint of a model trained on another task or with another architecture (e.g. initializing a BertForSequenceClassification model from a BertForPreTraining model).\n",
+      "- This IS NOT expected if you are initializing BertModel from the checkpoint of a model that you expect to be exactly identical (initializing a BertForSequenceClassification model from a BertForSequenceClassification model).\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Reading input corpus\n",
+      "Preparing output file\n",
+      "Extracting representations from model\n",
+      "Sentence         : \"In the year 1969, Neil Armstrong became the first person to set foot on the moon during the Apollo 11 mission.\"\n",
+      "Original    (021): ['In', 'the', 'year', '1969,', 'Neil', 'Armstrong', 'became', 'the', 'first', 'person', 'to', 'set', 'foot', 'on', 'the', 'moon', 'during', 'the', 'Apollo', '11', 'mission.']\n",
+      "Tokenized   (025): ['[CLS]', 'in', 'the', 'year', '1969', ',', 'neil', 'armstrong', 'became', 'the', 'first', 'person', 'to', 'set', 'foot', 'on', 'the', 'moon', 'during', 'the', 'apollo', '11', 'mission', '.', '[SEP]']\n",
+      "Filtered   (023): ['in', 'the', 'year', '1969', ',', 'neil', 'armstrong', 'became', 'the', 'first', 'person', 'to', 'set', 'foot', 'on', 'the', 'moon', 'during', 'the', 'apollo', '11', 'mission', '.']\n",
+      "Detokenized (021): ['in', 'the', 'year', '1969,', 'neil', 'armstrong', 'became', 'the', 'first', 'person', 'to', 'set', 'foot', 'on', 'the', 'moon', 'during', 'the', 'apollo', '11', 'mission.']\n",
+      "Counter: 23\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 21, 768)\n",
+      "# Extracted words:  21\n",
+      "Sentence         : \"The Berlin Wall, which divided East and West Germany, stood from 1961 until its fall in 1989.\"\n",
+      "Original    (017): ['The', 'Berlin', 'Wall,', 'which', 'divided', 'East', 'and', 'West', 'Germany,', 'stood', 'from', '1961', 'until', 'its', 'fall', 'in', '1989.']\n",
+      "Tokenized   (022): ['[CLS]', 'the', 'berlin', 'wall', ',', 'which', 'divided', 'east', 'and', 'west', 'germany', ',', 'stood', 'from', '1961', 'until', 'its', 'fall', 'in', '1989', '.', '[SEP]']\n",
+      "Filtered   (020): ['the', 'berlin', 'wall', ',', 'which', 'divided', 'east', 'and', 'west', 'germany', ',', 'stood', 'from', '1961', 'until', 'its', 'fall', 'in', '1989', '.']\n",
+      "Detokenized (017): ['the', 'berlin', 'wall,', 'which', 'divided', 'east', 'and', 'west', 'germany,', 'stood', 'from', '1961', 'until', 'its', 'fall', 'in', '1989.']\n",
+      "Counter: 20\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 17, 768)\n",
+      "# Extracted words:  17\n",
+      "Sentence         : \"In 1776, the United States declared its independence from Great Britain with the signing of the Declaration of Independence.\"\n",
+      "Original    (019): ['In', '1776,', 'the', 'United', 'States', 'declared', 'its', 'independence', 'from', 'Great', 'Britain', 'with', 'the', 'signing', 'of', 'the', 'Declaration', 'of', 'Independence.']\n",
+      "Tokenized   (023): ['[CLS]', 'in', '1776', ',', 'the', 'united', 'states', 'declared', 'its', 'independence', 'from', 'great', 'britain', 'with', 'the', 'signing', 'of', 'the', 'declaration', 'of', 'independence', '.', '[SEP]']\n",
+      "Filtered   (021): ['in', '1776', ',', 'the', 'united', 'states', 'declared', 'its', 'independence', 'from', 'great', 'britain', 'with', 'the', 'signing', 'of', 'the', 'declaration', 'of', 'independence', '.']\n",
+      "Detokenized (019): ['in', '1776,', 'the', 'united', 'states', 'declared', 'its', 'independence', 'from', 'great', 'britain', 'with', 'the', 'signing', 'of', 'the', 'declaration', 'of', 'independence.']\n",
+      "Counter: 21\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 19, 768)\n",
+      "# Extracted words:  19\n",
+      "Sentence         : \"The year 1945 marked the end of World War II, with the surrender of Germany and Japan.\"\n",
+      "Original    (017): ['The', 'year', '1945', 'marked', 'the', 'end', 'of', 'World', 'War', 'II,', 'with', 'the', 'surrender', 'of', 'Germany', 'and', 'Japan.']\n",
+      "Tokenized   (021): ['[CLS]', 'the', 'year', '1945', 'marked', 'the', 'end', 'of', 'world', 'war', 'ii', ',', 'with', 'the', 'surrender', 'of', 'germany', 'and', 'japan', '.', '[SEP]']\n",
+      "Filtered   (019): ['the', 'year', '1945', 'marked', 'the', 'end', 'of', 'world', 'war', 'ii', ',', 'with', 'the', 'surrender', 'of', 'germany', 'and', 'japan', '.']\n",
+      "Detokenized (017): ['the', 'year', '1945', 'marked', 'the', 'end', 'of', 'world', 'war', 'ii,', 'with', 'the', 'surrender', 'of', 'germany', 'and', 'japan.']\n",
+      "Counter: 19\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 17, 768)\n",
+      "# Extracted words:  17\n",
+      "Sentence         : \"The internet as we know it today began to take shape in 1969, when the first host-to-host connection was established between two computers.\"\n",
+      "Original    (023): ['The', 'internet', 'as', 'we', 'know', 'it', 'today', 'began', 'to', 'take', 'shape', 'in', '1969,', 'when', 'the', 'first', 'host-to-host', 'connection', 'was', 'established', 'between', 'two', 'computers.']\n",
+      "Tokenized   (031): ['[CLS]', 'the', 'internet', 'as', 'we', 'know', 'it', 'today', 'began', 'to', 'take', 'shape', 'in', '1969', ',', 'when', 'the', 'first', 'host', '-', 'to', '-', 'host', 'connection', 'was', 'established', 'between', 'two', 'computers', '.', '[SEP]']\n",
+      "Filtered   (029): ['the', 'internet', 'as', 'we', 'know', 'it', 'today', 'began', 'to', 'take', 'shape', 'in', '1969', ',', 'when', 'the', 'first', 'host', '-', 'to', '-', 'host', 'connection', 'was', 'established', 'between', 'two', 'computers', '.']\n",
+      "Detokenized (023): ['the', 'internet', 'as', 'we', 'know', 'it', 'today', 'began', 'to', 'take', 'shape', 'in', '1969,', 'when', 'the', 'first', 'host-to-host', 'connection', 'was', 'established', 'between', 'two', 'computers.']\n",
+      "Counter: 29\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 23, 768)\n",
+      "# Extracted words:  23\n",
+      "Sentence         : \"The devastating earthquake and tsunami in Japan occurred in 2011, causing widespread destruction and a nuclear disaster at the Fukushima Daiichi power plant.\"\n",
+      "Original    (023): ['The', 'devastating', 'earthquake', 'and', 'tsunami', 'in', 'Japan', 'occurred', 'in', '2011,', 'causing', 'widespread', 'destruction', 'and', 'a', 'nuclear', 'disaster', 'at', 'the', 'Fukushima', 'Daiichi', 'power', 'plant.']\n",
+      "Tokenized   (029): ['[CLS]', 'the', 'devastating', 'earthquake', 'and', 'tsunami', 'in', 'japan', 'occurred', 'in', '2011', ',', 'causing', 'widespread', 'destruction', 'and', 'a', 'nuclear', 'disaster', 'at', 'the', 'fu', '##kushima', 'dai', '##ichi', 'power', 'plant', '.', '[SEP]']\n",
+      "Filtered   (027): ['the', 'devastating', 'earthquake', 'and', 'tsunami', 'in', 'japan', 'occurred', 'in', '2011', ',', 'causing', 'widespread', 'destruction', 'and', 'a', 'nuclear', 'disaster', 'at', 'the', 'fu', '##kushima', 'dai', '##ichi', 'power', 'plant', '.']\n",
+      "Detokenized (023): ['the', 'devastating', 'earthquake', 'and', 'tsunami', 'in', 'japan', 'occurred', 'in', '2011,', 'causing', 'widespread', 'destruction', 'and', 'a', 'nuclear', 'disaster', 'at', 'the', 'fu##kushima', 'dai##ichi', 'power', 'plant.']\n",
+      "Counter: 27\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 23, 768)\n",
+      "# Extracted words:  23\n",
+      "Sentence         : \"The Chernobyl nuclear disaster took place in 1986, when a reactor at the Chernobyl power plant in Ukraine exploded, releasing a significant amount of radioactive material.\"\n",
+      "Original    (026): ['The', 'Chernobyl', 'nuclear', 'disaster', 'took', 'place', 'in', '1986,', 'when', 'a', 'reactor', 'at', 'the', 'Chernobyl', 'power', 'plant', 'in', 'Ukraine', 'exploded,', 'releasing', 'a', 'significant', 'amount', 'of', 'radioactive', 'material.']\n",
+      "Tokenized   (035): ['[CLS]', 'the', 'cher', '##nob', '##yl', 'nuclear', 'disaster', 'took', 'place', 'in', '1986', ',', 'when', 'a', 'reactor', 'at', 'the', 'cher', '##nob', '##yl', 'power', 'plant', 'in', 'ukraine', 'exploded', ',', 'releasing', 'a', 'significant', 'amount', 'of', 'radioactive', 'material', '.', '[SEP]']\n",
+      "Filtered   (033): ['the', 'cher', '##nob', '##yl', 'nuclear', 'disaster', 'took', 'place', 'in', '1986', ',', 'when', 'a', 'reactor', 'at', 'the', 'cher', '##nob', '##yl', 'power', 'plant', 'in', 'ukraine', 'exploded', ',', 'releasing', 'a', 'significant', 'amount', 'of', 'radioactive', 'material', '.']\n",
+      "Detokenized (026): ['the', 'cher##nob##yl', 'nuclear', 'disaster', 'took', 'place', 'in', '1986,', 'when', 'a', 'reactor', 'at', 'the', 'cher##nob##yl', 'power', 'plant', 'in', 'ukraine', 'exploded,', 'releasing', 'a', 'significant', 'amount', 'of', 'radioactive', 'material.']\n",
+      "Counter: 33\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 26, 768)\n",
+      "# Extracted words:  26\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Sentence         : \"The year 1492 is famous for Christopher Columbus's first voyage to the Americas, which opened up a new era of exploration and colonization.\"\n",
+      "Original    (023): ['The', 'year', '1492', 'is', 'famous', 'for', 'Christopher', \"Columbus's\", 'first', 'voyage', 'to', 'the', 'Americas,', 'which', 'opened', 'up', 'a', 'new', 'era', 'of', 'exploration', 'and', 'colonization.']\n",
+      "Tokenized   (030): ['[CLS]', 'the', 'year', '149', '##2', 'is', 'famous', 'for', 'christopher', 'columbus', \"'\", 's', 'first', 'voyage', 'to', 'the', 'americas', ',', 'which', 'opened', 'up', 'a', 'new', 'era', 'of', 'exploration', 'and', 'colonization', '.', '[SEP]']\n",
+      "Filtered   (028): ['the', 'year', '149', '##2', 'is', 'famous', 'for', 'christopher', 'columbus', \"'\", 's', 'first', 'voyage', 'to', 'the', 'americas', ',', 'which', 'opened', 'up', 'a', 'new', 'era', 'of', 'exploration', 'and', 'colonization', '.']\n",
+      "Detokenized (023): ['the', 'year', '149##2', 'is', 'famous', 'for', 'christopher', \"columbus's\", 'first', 'voyage', 'to', 'the', 'americas,', 'which', 'opened', 'up', 'a', 'new', 'era', 'of', 'exploration', 'and', 'colonization.']\n",
+      "Counter: 28\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 23, 768)\n",
+      "# Extracted words:  23\n",
+      "Sentence         : \"The Women's Suffrage Movement achieved a significant victory in 1920 with the ratification of the 19th Amendment, granting women the right to vote in the United States.\"\n",
+      "Original    (027): ['The', \"Women's\", 'Suffrage', 'Movement', 'achieved', 'a', 'significant', 'victory', 'in', '1920', 'with', 'the', 'ratification', 'of', 'the', '19th', 'Amendment,', 'granting', 'women', 'the', 'right', 'to', 'vote', 'in', 'the', 'United', 'States.']\n",
+      "Tokenized   (033): ['[CLS]', 'the', 'women', \"'\", 's', 'suffrage', 'movement', 'achieved', 'a', 'significant', 'victory', 'in', '1920', 'with', 'the', 'ratification', 'of', 'the', '19th', 'amendment', ',', 'granting', 'women', 'the', 'right', 'to', 'vote', 'in', 'the', 'united', 'states', '.', '[SEP]']\n",
+      "Filtered   (031): ['the', 'women', \"'\", 's', 'suffrage', 'movement', 'achieved', 'a', 'significant', 'victory', 'in', '1920', 'with', 'the', 'ratification', 'of', 'the', '19th', 'amendment', ',', 'granting', 'women', 'the', 'right', 'to', 'vote', 'in', 'the', 'united', 'states', '.']\n",
+      "Detokenized (027): ['the', \"women's\", 'suffrage', 'movement', 'achieved', 'a', 'significant', 'victory', 'in', '1920', 'with', 'the', 'ratification', 'of', 'the', '19th', 'amendment,', 'granting', 'women', 'the', 'right', 'to', 'vote', 'in', 'the', 'united', 'states.']\n",
+      "Counter: 31\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 27, 768)\n",
+      "# Extracted words:  27\n",
+      "Sentence         : \"The year 2008 saw the global financial crisis, which originated in the United States and had a profound impact on the world economy.\"\n",
+      "Original    (023): ['The', 'year', '2008', 'saw', 'the', 'global', 'financial', 'crisis,', 'which', 'originated', 'in', 'the', 'United', 'States', 'and', 'had', 'a', 'profound', 'impact', 'on', 'the', 'world', 'economy.']\n",
+      "Tokenized   (027): ['[CLS]', 'the', 'year', '2008', 'saw', 'the', 'global', 'financial', 'crisis', ',', 'which', 'originated', 'in', 'the', 'united', 'states', 'and', 'had', 'a', 'profound', 'impact', 'on', 'the', 'world', 'economy', '.', '[SEP]']\n",
+      "Filtered   (025): ['the', 'year', '2008', 'saw', 'the', 'global', 'financial', 'crisis', ',', 'which', 'originated', 'in', 'the', 'united', 'states', 'and', 'had', 'a', 'profound', 'impact', 'on', 'the', 'world', 'economy', '.']\n",
+      "Detokenized (023): ['the', 'year', '2008', 'saw', 'the', 'global', 'financial', 'crisis,', 'which', 'originated', 'in', 'the', 'united', 'states', 'and', 'had', 'a', 'profound', 'impact', 'on', 'the', 'world', 'economy.']\n",
+      "Counter: 25\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 23, 768)\n",
+      "# Extracted words:  23\n"
+     ]
+    }
+   ],
+   "source": [
+    "transformers_extractor.extract_representations('bert-base-uncased',\n",
+    "    \"data/sentences.txt\",\n",
+    "    'activations.json',\n",
+    "    aggregation=\"average\" #last, first\n",
+    ")"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "a591b599",
+   "metadata": {},
+   "source": [
+    "# Annotate the data"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "id": "6391950a",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Loading json activations from activations.json...\n",
+      "10 13.0\n",
+      "Creating binary dataset ...\n",
+      "Number of Positive examples:  9\n"
+     ]
+    },
+    {
+     "ename": "IndexError",
+     "evalue": "tuple index out of range",
+     "output_type": "error",
+     "traceback": [
+      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
+      "\u001b[0;31mIndexError\u001b[0m                                Traceback (most recent call last)",
+      "Cell \u001b[0;32mIn[4], line 2\u001b[0m\n\u001b[1;32m      1\u001b[0m pattern \u001b[38;5;241m=\u001b[39m re\u001b[38;5;241m.\u001b[39mcompile(\u001b[38;5;124mr\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124m\\\u001b[39m\u001b[38;5;124mb(19\u001b[39m\u001b[38;5;124m\\\u001b[39m\u001b[38;5;124md\u001b[39m\u001b[38;5;132;01m{2}\u001b[39;00m\u001b[38;5;124m|20\u001b[39m\u001b[38;5;124m\\\u001b[39m\u001b[38;5;124md\u001b[39m\u001b[38;5;132;01m{2}\u001b[39;00m\u001b[38;5;124m)\u001b[39m\u001b[38;5;124m\\\u001b[39m\u001b[38;5;124mb\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n\u001b[0;32m----> 2\u001b[0m \u001b[43mannotate_data\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mdata/sentences.txt\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mactivations.json\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mpattern\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mannotations\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m)\u001b[49m\n",
+      "File \u001b[0;32m/alt/mt/tcav-basel/NeuroX/neurox/data/annotate.py:143\u001b[0m, in \u001b[0;36mannotate_data\u001b[0;34m(source_path, activations_path, binary_filter, output_prefix, output_type, decompose_layers, filter_layers)\u001b[0m\n\u001b[1;32m    138\u001b[0m tokens \u001b[38;5;241m=\u001b[39m data_loader\u001b[38;5;241m.\u001b[39mload_data(\n\u001b[1;32m    139\u001b[0m     source_path, source_path, activations, max_sent_l\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m512\u001b[39m\n\u001b[1;32m    140\u001b[0m )\n\u001b[1;32m    142\u001b[0m words, labels, activations \u001b[38;5;241m=\u001b[39m _create_binary_data(tokens, activations, binary_filter)\n\u001b[0;32m--> 143\u001b[0m activations \u001b[38;5;241m=\u001b[39m [\n\u001b[1;32m    144\u001b[0m     np\u001b[38;5;241m.\u001b[39mswapaxes(a\u001b[38;5;241m.\u001b[39mreshape((a\u001b[38;5;241m.\u001b[39mshape[\u001b[38;5;241m1\u001b[39m], num_layers, \u001b[38;5;241m-\u001b[39m\u001b[38;5;241m1\u001b[39m)), \u001b[38;5;241m0\u001b[39m, \u001b[38;5;241m1\u001b[39m) \u001b[38;5;28;01mfor\u001b[39;00m a \u001b[38;5;129;01min\u001b[39;00m activations\n\u001b[1;32m    145\u001b[0m ]\n\u001b[1;32m    146\u001b[0m data_utils\u001b[38;5;241m.\u001b[39msave_files(\n\u001b[1;32m    147\u001b[0m     words,\n\u001b[1;32m    148\u001b[0m     labels,\n\u001b[0;32m   (...)\u001b[0m\n\u001b[1;32m    153\u001b[0m     filter_layers,\n\u001b[1;32m    154\u001b[0m )\n",
+      "File \u001b[0;32m/alt/mt/tcav-basel/NeuroX/neurox/data/annotate.py:144\u001b[0m, in \u001b[0;36m<listcomp>\u001b[0;34m(.0)\u001b[0m\n\u001b[1;32m    138\u001b[0m tokens \u001b[38;5;241m=\u001b[39m data_loader\u001b[38;5;241m.\u001b[39mload_data(\n\u001b[1;32m    139\u001b[0m     source_path, source_path, activations, max_sent_l\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m512\u001b[39m\n\u001b[1;32m    140\u001b[0m )\n\u001b[1;32m    142\u001b[0m words, labels, activations \u001b[38;5;241m=\u001b[39m _create_binary_data(tokens, activations, binary_filter)\n\u001b[1;32m    143\u001b[0m activations \u001b[38;5;241m=\u001b[39m [\n\u001b[0;32m--> 144\u001b[0m     np\u001b[38;5;241m.\u001b[39mswapaxes(a\u001b[38;5;241m.\u001b[39mreshape((\u001b[43ma\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mshape\u001b[49m\u001b[43m[\u001b[49m\u001b[38;5;241;43m1\u001b[39;49m\u001b[43m]\u001b[49m, num_layers, \u001b[38;5;241m-\u001b[39m\u001b[38;5;241m1\u001b[39m)), \u001b[38;5;241m0\u001b[39m, \u001b[38;5;241m1\u001b[39m) \u001b[38;5;28;01mfor\u001b[39;00m a \u001b[38;5;129;01min\u001b[39;00m activations\n\u001b[1;32m    145\u001b[0m ]\n\u001b[1;32m    146\u001b[0m data_utils\u001b[38;5;241m.\u001b[39msave_files(\n\u001b[1;32m    147\u001b[0m     words,\n\u001b[1;32m    148\u001b[0m     labels,\n\u001b[0;32m   (...)\u001b[0m\n\u001b[1;32m    153\u001b[0m     filter_layers,\n\u001b[1;32m    154\u001b[0m )\n",
+      "\u001b[0;31mIndexError\u001b[0m: tuple index out of range"
+     ]
+    }
+   ],
+   "source": [
+    "pattern = re.compile(r\"\\b(19\\d{2}|20\\d{2})\\b\")\n",
+    "annotate_data(\"data/sentences.txt\", \"activations.json\", pattern, \"annotations\")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "c13e37fc",
+   "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": "3.9.12"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/tutorials/Control Tasks.ipynb b/tutorials/Control Tasks.ipynb
new file mode 100644
index 0000000..b23991a
--- /dev/null
+++ b/tutorials/Control Tasks.ipynb	
@@ -0,0 +1,1262 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "id": "4aebc884",
+   "metadata": {},
+   "source": [
+    "# Imports"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "id": "a7c82f46",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import neurox.data.extraction.transformers_extractor as transformers_extractor\n",
+    "import neurox.data.loader as data_loader\n",
+    "import neurox.interpretation.utils as utils\n",
+    "import neurox.interpretation.linear_probe as linear_probe\n",
+    "import neurox.data.control_task as control_task"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "0fe254ad",
+   "metadata": {},
+   "source": [
+    "# Data"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "id": "2faee3d2",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# define paths to your word and label files \n",
+    "train_sentences = \"data/pos_train.word\"\n",
+    "train_labels = \"data/pos_train.label\"\n",
+    "dev_sentences = \"data/pos_dev.word\"\n",
+    "dev_labels = \"data/pos_dev.label\" \n",
+    "test_sentences = \"data/pos_test.word\"\n",
+    "test_labels = \"data/pos_test.label\""
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "id": "95c05680",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Pierre Vinken , 61 years old , will join the board as a nonexecutive director Nov. 29 .\r\n",
+      "Mr. Vinken is chairman of Elsevier N.V. , the Dutch publishing group .\r\n",
+      "Rudolph Agnew , 55 years old and former chairman of Consolidated Gold Fields PLC , was named a nonexecutive director of this British industrial conglomerate .\r\n",
+      "A form of asbestos once used to make Kent cigarette filters has caused a high percentage of cancer deaths among a group of workers exposed to it more than 30 years ago , researchers reported .\r\n",
+      "The asbestos fiber , crocidolite , is unusually resilient once it enters the lungs , with even brief exposures to it causing symptoms that show up decades later , researchers said .\r\n",
+      "Lorillard Inc. , the unit of New York-based Loews Corp. that makes Kent cigarettes , stopped using crocidolite in its Micronite cigarette filters in 1956 .\r\n",
+      "Although preliminary findings were reported more than a year ago , the latest results appear in today 's New England Journal of Medicine , a forum likely to bring new attention to the problem .\r\n",
+      "A Lorillard spokewoman said , `` This is an old story .\r\n",
+      "We 're talking about years ago before anyone heard of asbestos having any questionable properties .\r\n",
+      "There is no asbestos in our products now . ''\r\n"
+     ]
+    }
+   ],
+   "source": [
+    "# inspect data\n",
+    "!cat \"data/pos_train.word\""
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "id": "ac26e05c",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "NNP NNP , CD NNS JJ , MD VB DT NN IN DT JJ NN NNP CD .\r\n",
+      "NNP NNP VBZ NN IN NNP NNP , DT NNP VBG NN .\r\n",
+      "NNP NNP , CD NNS JJ CC JJ NN IN NNP NNP NNP NNP , VBD VBN DT JJ NN IN DT JJ JJ NN .\r\n",
+      "DT NN IN NN RB VBN TO VB NNP NN NNS VBZ VBN DT JJ NN IN NN NNS IN DT NN IN NNS VBN TO PRP RBR IN CD NNS IN , NNS VBD .\r\n",
+      "DT NN NN , NN , VBZ RB JJ IN PRP VBZ DT NNS , IN RB JJ NNS TO PRP VBG NNS WDT VBP RP NNS JJ , NNS VBD .\r\n",
+      "NNP NNP , DT NN IN JJ JJ NNP NNP WDT VBZ NNP NNS , VBD VBG NN IN PRP$ NN NN NNS IN CD .\r\n",
+      "IN JJ NNS VBD VBN RBR IN DT NN IN , DT JJS NNS VBP IN NN POS NNP NNP NNP IN NNP , DT NN JJ TO VB JJ NN TO DT NN .\r\n",
+      "DT NNP NN VBD , `` DT VBZ DT JJ NN .\r\n",
+      "PRP VBP VBG IN NNS IN IN NN VBD IN NN VBG DT JJ NNS .\r\n",
+      "EX VBZ DT NN IN PRP$ NNS RB . ''\r\n"
+     ]
+    }
+   ],
+   "source": [
+    "!cat \"data/pos_train.label\""
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "5926d06c",
+   "metadata": {},
+   "source": [
+    "# Extract Representations"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "id": "a9f92698",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Loading model: bert-base-uncased\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "Some weights of the model checkpoint at bert-base-uncased were not used when initializing BertModel: ['cls.predictions.bias', 'cls.seq_relationship.bias', 'cls.seq_relationship.weight', 'cls.predictions.transform.LayerNorm.weight', 'cls.predictions.transform.dense.bias', 'cls.predictions.transform.dense.weight', 'cls.predictions.transform.LayerNorm.bias', 'cls.predictions.decoder.weight']\n",
+      "- This IS expected if you are initializing BertModel from the checkpoint of a model trained on another task or with another architecture (e.g. initializing a BertForSequenceClassification model from a BertForPreTraining model).\n",
+      "- This IS NOT expected if you are initializing BertModel from the checkpoint of a model that you expect to be exactly identical (initializing a BertForSequenceClassification model from a BertForSequenceClassification model).\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Reading input corpus\n",
+      "Preparing output file\n",
+      "Extracting representations from model\n",
+      "Sentence         : \"Pierre Vinken , 61 years old , will join the board as a nonexecutive director Nov. 29 .\"\n",
+      "Original    (018): ['Pierre', 'Vinken', ',', '61', 'years', 'old', ',', 'will', 'join', 'the', 'board', 'as', 'a', 'nonexecutive', 'director', 'Nov.', '29', '.']\n",
+      "Tokenized   (025): ['[CLS]', 'pierre', 'vin', '##ken', ',', '61', 'years', 'old', ',', 'will', 'join', 'the', 'board', 'as', 'a', 'none', '##x', '##ec', '##utive', 'director', 'nov', '.', '29', '.', '[SEP]']\n",
+      "Filtered   (023): ['pierre', 'vin', '##ken', ',', '61', 'years', 'old', ',', 'will', 'join', 'the', 'board', 'as', 'a', 'none', '##x', '##ec', '##utive', 'director', 'nov', '.', '29', '.']\n",
+      "Detokenized (018): ['pierre', 'vin##ken', ',', '61', 'years', 'old', ',', 'will', 'join', 'the', 'board', 'as', 'a', 'none##x##ec##utive', 'director', 'nov.', '29', '.']\n",
+      "Counter: 23\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 18, 768)\n",
+      "# Extracted words:  18\n",
+      "Sentence         : \"Mr. Vinken is chairman of Elsevier N.V. , the Dutch publishing group .\"\n",
+      "Original    (013): ['Mr.', 'Vinken', 'is', 'chairman', 'of', 'Elsevier', 'N.V.', ',', 'the', 'Dutch', 'publishing', 'group', '.']\n",
+      "Tokenized   (021): ['[CLS]', 'mr', '.', 'vin', '##ken', 'is', 'chairman', 'of', 'else', '##vier', 'n', '.', 'v', '.', ',', 'the', 'dutch', 'publishing', 'group', '.', '[SEP]']\n",
+      "Filtered   (019): ['mr', '.', 'vin', '##ken', 'is', 'chairman', 'of', 'else', '##vier', 'n', '.', 'v', '.', ',', 'the', 'dutch', 'publishing', 'group', '.']\n",
+      "Detokenized (013): ['mr.', 'vin##ken', 'is', 'chairman', 'of', 'else##vier', 'n.v.', ',', 'the', 'dutch', 'publishing', 'group', '.']\n",
+      "Counter: 19\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 13, 768)\n",
+      "# Extracted words:  13\n",
+      "Sentence         : \"Rudolph Agnew , 55 years old and former chairman of Consolidated Gold Fields PLC , was named a nonexecutive director of this British industrial conglomerate .\"\n",
+      "Original    (026): ['Rudolph', 'Agnew', ',', '55', 'years', 'old', 'and', 'former', 'chairman', 'of', 'Consolidated', 'Gold', 'Fields', 'PLC', ',', 'was', 'named', 'a', 'nonexecutive', 'director', 'of', 'this', 'British', 'industrial', 'conglomerate', '.']\n",
+      "Tokenized   (033): ['[CLS]', 'rudolph', 'ag', '##ne', '##w', ',', '55', 'years', 'old', 'and', 'former', 'chairman', 'of', 'consolidated', 'gold', 'fields', 'plc', ',', 'was', 'named', 'a', 'none', '##x', '##ec', '##utive', 'director', 'of', 'this', 'british', 'industrial', 'conglomerate', '.', '[SEP]']\n",
+      "Filtered   (031): ['rudolph', 'ag', '##ne', '##w', ',', '55', 'years', 'old', 'and', 'former', 'chairman', 'of', 'consolidated', 'gold', 'fields', 'plc', ',', 'was', 'named', 'a', 'none', '##x', '##ec', '##utive', 'director', 'of', 'this', 'british', 'industrial', 'conglomerate', '.']\n",
+      "Detokenized (026): ['rudolph', 'ag##ne##w', ',', '55', 'years', 'old', 'and', 'former', 'chairman', 'of', 'consolidated', 'gold', 'fields', 'plc', ',', 'was', 'named', 'a', 'none##x##ec##utive', 'director', 'of', 'this', 'british', 'industrial', 'conglomerate', '.']\n",
+      "Counter: 31\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 26, 768)\n",
+      "# Extracted words:  26\n",
+      "Sentence         : \"A form of asbestos once used to make Kent cigarette filters has caused a high percentage of cancer deaths among a group of workers exposed to it more than 30 years ago , researchers reported .\"\n",
+      "Original    (036): ['A', 'form', 'of', 'asbestos', 'once', 'used', 'to', 'make', 'Kent', 'cigarette', 'filters', 'has', 'caused', 'a', 'high', 'percentage', 'of', 'cancer', 'deaths', 'among', 'a', 'group', 'of', 'workers', 'exposed', 'to', 'it', 'more', 'than', '30', 'years', 'ago', ',', 'researchers', 'reported', '.']\n",
+      "Tokenized   (038): ['[CLS]', 'a', 'form', 'of', 'asbestos', 'once', 'used', 'to', 'make', 'kent', 'cigarette', 'filters', 'has', 'caused', 'a', 'high', 'percentage', 'of', 'cancer', 'deaths', 'among', 'a', 'group', 'of', 'workers', 'exposed', 'to', 'it', 'more', 'than', '30', 'years', 'ago', ',', 'researchers', 'reported', '.', '[SEP]']\n",
+      "Filtered   (036): ['a', 'form', 'of', 'asbestos', 'once', 'used', 'to', 'make', 'kent', 'cigarette', 'filters', 'has', 'caused', 'a', 'high', 'percentage', 'of', 'cancer', 'deaths', 'among', 'a', 'group', 'of', 'workers', 'exposed', 'to', 'it', 'more', 'than', '30', 'years', 'ago', ',', 'researchers', 'reported', '.']\n",
+      "Detokenized (036): ['a', 'form', 'of', 'asbestos', 'once', 'used', 'to', 'make', 'kent', 'cigarette', 'filters', 'has', 'caused', 'a', 'high', 'percentage', 'of', 'cancer', 'deaths', 'among', 'a', 'group', 'of', 'workers', 'exposed', 'to', 'it', 'more', 'than', '30', 'years', 'ago', ',', 'researchers', 'reported', '.']\n",
+      "Counter: 36\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 36, 768)\n",
+      "# Extracted words:  36\n",
+      "Sentence         : \"The asbestos fiber , crocidolite , is unusually resilient once it enters the lungs , with even brief exposures to it causing symptoms that show up decades later , researchers said .\"\n",
+      "Original    (032): ['The', 'asbestos', 'fiber', ',', 'crocidolite', ',', 'is', 'unusually', 'resilient', 'once', 'it', 'enters', 'the', 'lungs', ',', 'with', 'even', 'brief', 'exposures', 'to', 'it', 'causing', 'symptoms', 'that', 'show', 'up', 'decades', 'later', ',', 'researchers', 'said', '.']\n",
+      "Tokenized   (040): ['[CLS]', 'the', 'asbestos', 'fiber', ',', 'cr', '##oc', '##ido', '##lite', ',', 'is', 'unusually', 'res', '##ili', '##ent', 'once', 'it', 'enters', 'the', 'lungs', ',', 'with', 'even', 'brief', 'exposure', '##s', 'to', 'it', 'causing', 'symptoms', 'that', 'show', 'up', 'decades', 'later', ',', 'researchers', 'said', '.', '[SEP]']\n",
+      "Filtered   (038): ['the', 'asbestos', 'fiber', ',', 'cr', '##oc', '##ido', '##lite', ',', 'is', 'unusually', 'res', '##ili', '##ent', 'once', 'it', 'enters', 'the', 'lungs', ',', 'with', 'even', 'brief', 'exposure', '##s', 'to', 'it', 'causing', 'symptoms', 'that', 'show', 'up', 'decades', 'later', ',', 'researchers', 'said', '.']\n",
+      "Detokenized (032): ['the', 'asbestos', 'fiber', ',', 'cr##oc##ido##lite', ',', 'is', 'unusually', 'res##ili##ent', 'once', 'it', 'enters', 'the', 'lungs', ',', 'with', 'even', 'brief', 'exposure##s', 'to', 'it', 'causing', 'symptoms', 'that', 'show', 'up', 'decades', 'later', ',', 'researchers', 'said', '.']\n",
+      "Counter: 38\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 32, 768)\n",
+      "# Extracted words:  32\n",
+      "Sentence         : \"Lorillard Inc. , the unit of New York-based Loews Corp. that makes Kent cigarettes , stopped using crocidolite in its Micronite cigarette filters in 1956 .\"\n",
+      "Original    (026): ['Lorillard', 'Inc.', ',', 'the', 'unit', 'of', 'New', 'York-based', 'Loews', 'Corp.', 'that', 'makes', 'Kent', 'cigarettes', ',', 'stopped', 'using', 'crocidolite', 'in', 'its', 'Micronite', 'cigarette', 'filters', 'in', '1956', '.']\n",
+      "Tokenized   (041): ['[CLS]', 'lori', '##llar', '##d', 'inc', '.', ',', 'the', 'unit', 'of', 'new', 'york', '-', 'based', 'lo', '##ew', '##s', 'corp', '.', 'that', 'makes', 'kent', 'cigarettes', ',', 'stopped', 'using', 'cr', '##oc', '##ido', '##lite', 'in', 'its', 'micro', '##ni', '##te', 'cigarette', 'filters', 'in', '1956', '.', '[SEP]']\n",
+      "Filtered   (039): ['lori', '##llar', '##d', 'inc', '.', ',', 'the', 'unit', 'of', 'new', 'york', '-', 'based', 'lo', '##ew', '##s', 'corp', '.', 'that', 'makes', 'kent', 'cigarettes', ',', 'stopped', 'using', 'cr', '##oc', '##ido', '##lite', 'in', 'its', 'micro', '##ni', '##te', 'cigarette', 'filters', 'in', '1956', '.']\n",
+      "Detokenized (026): ['lori##llar##d', 'inc.', ',', 'the', 'unit', 'of', 'new', 'york-based', 'lo##ew##s', 'corp.', 'that', 'makes', 'kent', 'cigarettes', ',', 'stopped', 'using', 'cr##oc##ido##lite', 'in', 'its', 'micro##ni##te', 'cigarette', 'filters', 'in', '1956', '.']\n",
+      "Counter: 39\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 26, 768)\n",
+      "# Extracted words:  26\n",
+      "Sentence         : \"Although preliminary findings were reported more than a year ago , the latest results appear in today 's New England Journal of Medicine , a forum likely to bring new attention to the problem .\"\n",
+      "Original    (035): ['Although', 'preliminary', 'findings', 'were', 'reported', 'more', 'than', 'a', 'year', 'ago', ',', 'the', 'latest', 'results', 'appear', 'in', 'today', \"'s\", 'New', 'England', 'Journal', 'of', 'Medicine', ',', 'a', 'forum', 'likely', 'to', 'bring', 'new', 'attention', 'to', 'the', 'problem', '.']\n",
+      "Tokenized   (038): ['[CLS]', 'although', 'preliminary', 'findings', 'were', 'reported', 'more', 'than', 'a', 'year', 'ago', ',', 'the', 'latest', 'results', 'appear', 'in', 'today', \"'\", 's', 'new', 'england', 'journal', 'of', 'medicine', ',', 'a', 'forum', 'likely', 'to', 'bring', 'new', 'attention', 'to', 'the', 'problem', '.', '[SEP]']\n",
+      "Filtered   (036): ['although', 'preliminary', 'findings', 'were', 'reported', 'more', 'than', 'a', 'year', 'ago', ',', 'the', 'latest', 'results', 'appear', 'in', 'today', \"'\", 's', 'new', 'england', 'journal', 'of', 'medicine', ',', 'a', 'forum', 'likely', 'to', 'bring', 'new', 'attention', 'to', 'the', 'problem', '.']\n",
+      "Detokenized (035): ['although', 'preliminary', 'findings', 'were', 'reported', 'more', 'than', 'a', 'year', 'ago', ',', 'the', 'latest', 'results', 'appear', 'in', 'today', \"'s\", 'new', 'england', 'journal', 'of', 'medicine', ',', 'a', 'forum', 'likely', 'to', 'bring', 'new', 'attention', 'to', 'the', 'problem', '.']\n",
+      "Counter: 36\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 35, 768)\n",
+      "# Extracted words:  35\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Sentence         : \"A Lorillard spokewoman said , `` This is an old story .\"\n",
+      "Original    (012): ['A', 'Lorillard', 'spokewoman', 'said', ',', '``', 'This', 'is', 'an', 'old', 'story', '.']\n",
+      "Tokenized   (018): ['[CLS]', 'a', 'lori', '##llar', '##d', 'spoke', '##woman', 'said', ',', '`', '`', 'this', 'is', 'an', 'old', 'story', '.', '[SEP]']\n",
+      "Filtered   (016): ['a', 'lori', '##llar', '##d', 'spoke', '##woman', 'said', ',', '`', '`', 'this', 'is', 'an', 'old', 'story', '.']\n",
+      "Detokenized (012): ['a', 'lori##llar##d', 'spoke##woman', 'said', ',', '``', 'this', 'is', 'an', 'old', 'story', '.']\n",
+      "Counter: 16\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 12, 768)\n",
+      "# Extracted words:  12\n",
+      "Sentence         : \"We 're talking about years ago before anyone heard of asbestos having any questionable properties .\"\n",
+      "Original    (016): ['We', \"'re\", 'talking', 'about', 'years', 'ago', 'before', 'anyone', 'heard', 'of', 'asbestos', 'having', 'any', 'questionable', 'properties', '.']\n",
+      "Tokenized   (019): ['[CLS]', 'we', \"'\", 're', 'talking', 'about', 'years', 'ago', 'before', 'anyone', 'heard', 'of', 'asbestos', 'having', 'any', 'questionable', 'properties', '.', '[SEP]']\n",
+      "Filtered   (017): ['we', \"'\", 're', 'talking', 'about', 'years', 'ago', 'before', 'anyone', 'heard', 'of', 'asbestos', 'having', 'any', 'questionable', 'properties', '.']\n",
+      "Detokenized (016): ['we', \"'re\", 'talking', 'about', 'years', 'ago', 'before', 'anyone', 'heard', 'of', 'asbestos', 'having', 'any', 'questionable', 'properties', '.']\n",
+      "Counter: 17\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 16, 768)\n",
+      "# Extracted words:  16\n",
+      "Sentence         : \"There is no asbestos in our products now . ''\"\n",
+      "Original    (010): ['There', 'is', 'no', 'asbestos', 'in', 'our', 'products', 'now', '.', \"''\"]\n",
+      "Tokenized   (013): ['[CLS]', 'there', 'is', 'no', 'asbestos', 'in', 'our', 'products', 'now', '.', \"'\", \"'\", '[SEP]']\n",
+      "Filtered   (011): ['there', 'is', 'no', 'asbestos', 'in', 'our', 'products', 'now', '.', \"'\", \"'\"]\n",
+      "Detokenized (010): ['there', 'is', 'no', 'asbestos', 'in', 'our', 'products', 'now', '.', \"''\"]\n",
+      "Counter: 11\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 10, 768)\n",
+      "# Extracted words:  10\n"
+     ]
+    }
+   ],
+   "source": [
+    "# extract activations for the train sentences \n",
+    "transformers_extractor.extract_representations('bert-base-uncased',\n",
+    "    train_sentences,\n",
+    "    'train_activations.json',\n",
+    "    aggregation=\"average\" #last, first\n",
+    ")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "id": "89b1cb3d",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Loading model: bert-base-uncased\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "Some weights of the model checkpoint at bert-base-uncased were not used when initializing BertModel: ['cls.predictions.bias', 'cls.seq_relationship.bias', 'cls.seq_relationship.weight', 'cls.predictions.transform.LayerNorm.weight', 'cls.predictions.transform.dense.bias', 'cls.predictions.transform.dense.weight', 'cls.predictions.transform.LayerNorm.bias', 'cls.predictions.decoder.weight']\n",
+      "- This IS expected if you are initializing BertModel from the checkpoint of a model trained on another task or with another architecture (e.g. initializing a BertForSequenceClassification model from a BertForPreTraining model).\n",
+      "- This IS NOT expected if you are initializing BertModel from the checkpoint of a model that you expect to be exactly identical (initializing a BertForSequenceClassification model from a BertForSequenceClassification model).\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Reading input corpus\n",
+      "Preparing output file\n",
+      "Extracting representations from model\n",
+      "Sentence         : \"The Arizona Corporations Commission authorized an 11.5 % rate increase at Tucson Electric Power Co. , substantially lower than recommended last month by a commission hearing officer and barely half the rise sought by the utility .\"\n",
+      "Original    (037): ['The', 'Arizona', 'Corporations', 'Commission', 'authorized', 'an', '11.5', '%', 'rate', 'increase', 'at', 'Tucson', 'Electric', 'Power', 'Co.', ',', 'substantially', 'lower', 'than', 'recommended', 'last', 'month', 'by', 'a', 'commission', 'hearing', 'officer', 'and', 'barely', 'half', 'the', 'rise', 'sought', 'by', 'the', 'utility', '.']\n",
+      "Tokenized   (042): ['[CLS]', 'the', 'arizona', 'corporations', 'commission', 'authorized', 'an', '11', '.', '5', '%', 'rate', 'increase', 'at', 'tucson', 'electric', 'power', 'co', '.', ',', 'substantially', 'lower', 'than', 'recommended', 'last', 'month', 'by', 'a', 'commission', 'hearing', 'officer', 'and', 'barely', 'half', 'the', 'rise', 'sought', 'by', 'the', 'utility', '.', '[SEP]']\n",
+      "Filtered   (040): ['the', 'arizona', 'corporations', 'commission', 'authorized', 'an', '11', '.', '5', '%', 'rate', 'increase', 'at', 'tucson', 'electric', 'power', 'co', '.', ',', 'substantially', 'lower', 'than', 'recommended', 'last', 'month', 'by', 'a', 'commission', 'hearing', 'officer', 'and', 'barely', 'half', 'the', 'rise', 'sought', 'by', 'the', 'utility', '.']\n",
+      "Detokenized (037): ['the', 'arizona', 'corporations', 'commission', 'authorized', 'an', '11.5', '%', 'rate', 'increase', 'at', 'tucson', 'electric', 'power', 'co.', ',', 'substantially', 'lower', 'than', 'recommended', 'last', 'month', 'by', 'a', 'commission', 'hearing', 'officer', 'and', 'barely', 'half', 'the', 'rise', 'sought', 'by', 'the', 'utility', '.']\n",
+      "Counter: 40\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 37, 768)\n",
+      "# Extracted words:  37\n",
+      "Sentence         : \"The ruling follows a host of problems at Tucson Electric , including major write-downs , a 60 % slash in the common stock dividend and the departure of former Chairman Einar Greve during a company investigation of his stock sales .\"\n",
+      "Original    (041): ['The', 'ruling', 'follows', 'a', 'host', 'of', 'problems', 'at', 'Tucson', 'Electric', ',', 'including', 'major', 'write-downs', ',', 'a', '60', '%', 'slash', 'in', 'the', 'common', 'stock', 'dividend', 'and', 'the', 'departure', 'of', 'former', 'Chairman', 'Einar', 'Greve', 'during', 'a', 'company', 'investigation', 'of', 'his', 'stock', 'sales', '.']\n",
+      "Tokenized   (048): ['[CLS]', 'the', 'ruling', 'follows', 'a', 'host', 'of', 'problems', 'at', 'tucson', 'electric', ',', 'including', 'major', 'write', '-', 'downs', ',', 'a', '60', '%', 'slash', 'in', 'the', 'common', 'stock', 'divide', '##nd', 'and', 'the', 'departure', 'of', 'former', 'chairman', 'ein', '##ar', 'gr', '##eve', 'during', 'a', 'company', 'investigation', 'of', 'his', 'stock', 'sales', '.', '[SEP]']\n",
+      "Filtered   (046): ['the', 'ruling', 'follows', 'a', 'host', 'of', 'problems', 'at', 'tucson', 'electric', ',', 'including', 'major', 'write', '-', 'downs', ',', 'a', '60', '%', 'slash', 'in', 'the', 'common', 'stock', 'divide', '##nd', 'and', 'the', 'departure', 'of', 'former', 'chairman', 'ein', '##ar', 'gr', '##eve', 'during', 'a', 'company', 'investigation', 'of', 'his', 'stock', 'sales', '.']\n",
+      "Detokenized (041): ['the', 'ruling', 'follows', 'a', 'host', 'of', 'problems', 'at', 'tucson', 'electric', ',', 'including', 'major', 'write-downs', ',', 'a', '60', '%', 'slash', 'in', 'the', 'common', 'stock', 'divide##nd', 'and', 'the', 'departure', 'of', 'former', 'chairman', 'ein##ar', 'gr##eve', 'during', 'a', 'company', 'investigation', 'of', 'his', 'stock', 'sales', '.']\n",
+      "Counter: 46\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 41, 768)\n",
+      "# Extracted words:  41\n",
+      "Sentence         : \"The Arizona regulatory ruling calls for $ 42 million in added revenue yearly , compared with a $ 57 million boost proposed by the commission hearing officer .\"\n",
+      "Original    (028): ['The', 'Arizona', 'regulatory', 'ruling', 'calls', 'for', '$', '42', 'million', 'in', 'added', 'revenue', 'yearly', ',', 'compared', 'with', 'a', '$', '57', 'million', 'boost', 'proposed', 'by', 'the', 'commission', 'hearing', 'officer', '.']\n",
+      "Tokenized   (030): ['[CLS]', 'the', 'arizona', 'regulatory', 'ruling', 'calls', 'for', '$', '42', 'million', 'in', 'added', 'revenue', 'yearly', ',', 'compared', 'with', 'a', '$', '57', 'million', 'boost', 'proposed', 'by', 'the', 'commission', 'hearing', 'officer', '.', '[SEP]']\n",
+      "Filtered   (028): ['the', 'arizona', 'regulatory', 'ruling', 'calls', 'for', '$', '42', 'million', 'in', 'added', 'revenue', 'yearly', ',', 'compared', 'with', 'a', '$', '57', 'million', 'boost', 'proposed', 'by', 'the', 'commission', 'hearing', 'officer', '.']\n",
+      "Detokenized (028): ['the', 'arizona', 'regulatory', 'ruling', 'calls', 'for', '$', '42', 'million', 'in', 'added', 'revenue', 'yearly', ',', 'compared', 'with', 'a', '$', '57', 'million', 'boost', 'proposed', 'by', 'the', 'commission', 'hearing', 'officer', '.']\n",
+      "Counter: 28\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 28, 768)\n",
+      "# Extracted words:  28\n",
+      "Sentence         : \"The company had sought increases totaling $ 80.3 million , or 22 % .\"\n",
+      "Original    (014): ['The', 'company', 'had', 'sought', 'increases', 'totaling', '$', '80.3', 'million', ',', 'or', '22', '%', '.']\n",
+      "Tokenized   (018): ['[CLS]', 'the', 'company', 'had', 'sought', 'increases', 'totaling', '$', '80', '.', '3', 'million', ',', 'or', '22', '%', '.', '[SEP]']\n",
+      "Filtered   (016): ['the', 'company', 'had', 'sought', 'increases', 'totaling', '$', '80', '.', '3', 'million', ',', 'or', '22', '%', '.']\n",
+      "Detokenized (014): ['the', 'company', 'had', 'sought', 'increases', 'totaling', '$', '80.3', 'million', ',', 'or', '22', '%', '.']\n",
+      "Counter: 16\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 14, 768)\n",
+      "# Extracted words:  14\n",
+      "Sentence         : \"The decision was announced after trading ended .\"\n",
+      "Original    (008): ['The', 'decision', 'was', 'announced', 'after', 'trading', 'ended', '.']\n",
+      "Tokenized   (010): ['[CLS]', 'the', 'decision', 'was', 'announced', 'after', 'trading', 'ended', '.', '[SEP]']\n",
+      "Filtered   (008): ['the', 'decision', 'was', 'announced', 'after', 'trading', 'ended', '.']\n",
+      "Detokenized (008): ['the', 'decision', 'was', 'announced', 'after', 'trading', 'ended', '.']\n",
+      "Counter: 8\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 8, 768)\n",
+      "# Extracted words:  8\n",
+      "Sentence         : \"Tucson Electric closed at $ 20.875 a share , down 25 cents , in New York Stock Exchange composite trading .\"\n",
+      "Original    (021): ['Tucson', 'Electric', 'closed', 'at', '$', '20.875', 'a', 'share', ',', 'down', '25', 'cents', ',', 'in', 'New', 'York', 'Stock', 'Exchange', 'composite', 'trading', '.']\n",
+      "Tokenized   (025): ['[CLS]', 'tucson', 'electric', 'closed', 'at', '$', '20', '.', '875', 'a', 'share', ',', 'down', '25', 'cents', ',', 'in', 'new', 'york', 'stock', 'exchange', 'composite', 'trading', '.', '[SEP]']\n",
+      "Filtered   (023): ['tucson', 'electric', 'closed', 'at', '$', '20', '.', '875', 'a', 'share', ',', 'down', '25', 'cents', ',', 'in', 'new', 'york', 'stock', 'exchange', 'composite', 'trading', '.']\n",
+      "Detokenized (021): ['tucson', 'electric', 'closed', 'at', '$', '20.875', 'a', 'share', ',', 'down', '25', 'cents', ',', 'in', 'new', 'york', 'stock', 'exchange', 'composite', 'trading', '.']\n",
+      "Counter: 23\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 21, 768)\n",
+      "# Extracted words:  21\n",
+      "Sentence         : \"A Tucson Electric spokesman said the utility was disappointed by the commission 's decision and `` concerned about the financial integrity of the company .\"\n",
+      "Original    (025): ['A', 'Tucson', 'Electric', 'spokesman', 'said', 'the', 'utility', 'was', 'disappointed', 'by', 'the', 'commission', \"'s\", 'decision', 'and', '``', 'concerned', 'about', 'the', 'financial', 'integrity', 'of', 'the', 'company', '.']\n",
+      "Tokenized   (029): ['[CLS]', 'a', 'tucson', 'electric', 'spokesman', 'said', 'the', 'utility', 'was', 'disappointed', 'by', 'the', 'commission', \"'\", 's', 'decision', 'and', '`', '`', 'concerned', 'about', 'the', 'financial', 'integrity', 'of', 'the', 'company', '.', '[SEP]']\n",
+      "Filtered   (027): ['a', 'tucson', 'electric', 'spokesman', 'said', 'the', 'utility', 'was', 'disappointed', 'by', 'the', 'commission', \"'\", 's', 'decision', 'and', '`', '`', 'concerned', 'about', 'the', 'financial', 'integrity', 'of', 'the', 'company', '.']\n",
+      "Detokenized (025): ['a', 'tucson', 'electric', 'spokesman', 'said', 'the', 'utility', 'was', 'disappointed', 'by', 'the', 'commission', \"'s\", 'decision', 'and', '``', 'concerned', 'about', 'the', 'financial', 'integrity', 'of', 'the', 'company', '.']\n",
+      "Counter: 27\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 25, 768)\n",
+      "# Extracted words:  25\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Sentence         : \"South Korean President Roh Tae Woo , brushing aside suggestions that the won be revalued again , said the currency 's current level against the dollar is `` appropriate . ''\"\n",
+      "Original    (031): ['South', 'Korean', 'President', 'Roh', 'Tae', 'Woo', ',', 'brushing', 'aside', 'suggestions', 'that', 'the', 'won', 'be', 'revalued', 'again', ',', 'said', 'the', 'currency', \"'s\", 'current', 'level', 'against', 'the', 'dollar', 'is', '``', 'appropriate', '.', \"''\"]\n",
+      "Tokenized   (040): ['[CLS]', 'south', 'korean', 'president', 'ro', '##h', 'tae', 'woo', ',', 'brushing', 'aside', 'suggestions', 'that', 'the', 'won', 'be', 'rev', '##al', '##ue', '##d', 'again', ',', 'said', 'the', 'currency', \"'\", 's', 'current', 'level', 'against', 'the', 'dollar', 'is', '`', '`', 'appropriate', '.', \"'\", \"'\", '[SEP]']\n",
+      "Filtered   (038): ['south', 'korean', 'president', 'ro', '##h', 'tae', 'woo', ',', 'brushing', 'aside', 'suggestions', 'that', 'the', 'won', 'be', 'rev', '##al', '##ue', '##d', 'again', ',', 'said', 'the', 'currency', \"'\", 's', 'current', 'level', 'against', 'the', 'dollar', 'is', '`', '`', 'appropriate', '.', \"'\", \"'\"]\n",
+      "Detokenized (031): ['south', 'korean', 'president', 'ro##h', 'tae', 'woo', ',', 'brushing', 'aside', 'suggestions', 'that', 'the', 'won', 'be', 'rev##al##ue##d', 'again', ',', 'said', 'the', 'currency', \"'s\", 'current', 'level', 'against', 'the', 'dollar', 'is', '``', 'appropriate', '.', \"''\"]\n",
+      "Counter: 38\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 31, 768)\n",
+      "# Extracted words:  31\n",
+      "Sentence         : \"His comments , made in response to reporters ' questions at the National Press Club here , signaled that Seoul is resisting U.S. pressure for a further rise in the currency 's value .\"\n",
+      "Original    (034): ['His', 'comments', ',', 'made', 'in', 'response', 'to', 'reporters', \"'\", 'questions', 'at', 'the', 'National', 'Press', 'Club', 'here', ',', 'signaled', 'that', 'Seoul', 'is', 'resisting', 'U.S.', 'pressure', 'for', 'a', 'further', 'rise', 'in', 'the', 'currency', \"'s\", 'value', '.']\n",
+      "Tokenized   (040): ['[CLS]', 'his', 'comments', ',', 'made', 'in', 'response', 'to', 'reporters', \"'\", 'questions', 'at', 'the', 'national', 'press', 'club', 'here', ',', 'signaled', 'that', 'seoul', 'is', 'resisting', 'u', '.', 's', '.', 'pressure', 'for', 'a', 'further', 'rise', 'in', 'the', 'currency', \"'\", 's', 'value', '.', '[SEP]']\n",
+      "Filtered   (038): ['his', 'comments', ',', 'made', 'in', 'response', 'to', 'reporters', \"'\", 'questions', 'at', 'the', 'national', 'press', 'club', 'here', ',', 'signaled', 'that', 'seoul', 'is', 'resisting', 'u', '.', 's', '.', 'pressure', 'for', 'a', 'further', 'rise', 'in', 'the', 'currency', \"'\", 's', 'value', '.']\n",
+      "Detokenized (034): ['his', 'comments', ',', 'made', 'in', 'response', 'to', 'reporters', \"'\", 'questions', 'at', 'the', 'national', 'press', 'club', 'here', ',', 'signaled', 'that', 'seoul', 'is', 'resisting', 'u.s.', 'pressure', 'for', 'a', 'further', 'rise', 'in', 'the', 'currency', \"'s\", 'value', '.']\n",
+      "Counter: 38\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 34, 768)\n",
+      "# Extracted words:  34\n",
+      "Sentence         : \"The U.S. wants a higher won to make South Korea 's exports more expensive and help trim Seoul 's trade surplus .\"\n",
+      "Original    (022): ['The', 'U.S.', 'wants', 'a', 'higher', 'won', 'to', 'make', 'South', 'Korea', \"'s\", 'exports', 'more', 'expensive', 'and', 'help', 'trim', 'Seoul', \"'s\", 'trade', 'surplus', '.']\n",
+      "Tokenized   (029): ['[CLS]', 'the', 'u', '.', 's', '.', 'wants', 'a', 'higher', 'won', 'to', 'make', 'south', 'korea', \"'\", 's', 'exports', 'more', 'expensive', 'and', 'help', 'trim', 'seoul', \"'\", 's', 'trade', 'surplus', '.', '[SEP]']\n",
+      "Filtered   (027): ['the', 'u', '.', 's', '.', 'wants', 'a', 'higher', 'won', 'to', 'make', 'south', 'korea', \"'\", 's', 'exports', 'more', 'expensive', 'and', 'help', 'trim', 'seoul', \"'\", 's', 'trade', 'surplus', '.']\n",
+      "Detokenized (022): ['the', 'u.s.', 'wants', 'a', 'higher', 'won', 'to', 'make', 'south', 'korea', \"'s\", 'exports', 'more', 'expensive', 'and', 'help', 'trim', 'seoul', \"'s\", 'trade', 'surplus', '.']\n",
+      "Counter: 27\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 22, 768)\n",
+      "# Extracted words:  22\n"
+     ]
+    }
+   ],
+   "source": [
+    "# extract activations for the dev sentences \n",
+    "transformers_extractor.extract_representations('bert-base-uncased',\n",
+    "    dev_sentences,\n",
+    "    'dev_activations.json',\n",
+    "    aggregation=\"average\" #last, first\n",
+    ")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "id": "68db479c",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Loading model: bert-base-uncased\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "Some weights of the model checkpoint at bert-base-uncased were not used when initializing BertModel: ['cls.predictions.bias', 'cls.seq_relationship.bias', 'cls.seq_relationship.weight', 'cls.predictions.transform.LayerNorm.weight', 'cls.predictions.transform.dense.bias', 'cls.predictions.transform.dense.weight', 'cls.predictions.transform.LayerNorm.bias', 'cls.predictions.decoder.weight']\n",
+      "- This IS expected if you are initializing BertModel from the checkpoint of a model trained on another task or with another architecture (e.g. initializing a BertForSequenceClassification model from a BertForPreTraining model).\n",
+      "- This IS NOT expected if you are initializing BertModel from the checkpoint of a model that you expect to be exactly identical (initializing a BertForSequenceClassification model from a BertForSequenceClassification model).\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Reading input corpus\n",
+      "Preparing output file\n",
+      "Extracting representations from model\n",
+      "Sentence         : \"Rockwell International Corp. 's Tulsa unit said it signed a tentative agreement extending its contract with Boeing Co. to provide structural parts for Boeing 's 747 jetliners .\"\n",
+      "Original    (028): ['Rockwell', 'International', 'Corp.', \"'s\", 'Tulsa', 'unit', 'said', 'it', 'signed', 'a', 'tentative', 'agreement', 'extending', 'its', 'contract', 'with', 'Boeing', 'Co.', 'to', 'provide', 'structural', 'parts', 'for', 'Boeing', \"'s\", '747', 'jetliners', '.']\n",
+      "Tokenized   (036): ['[CLS]', 'rockwell', 'international', 'corp', '.', \"'\", 's', 'tulsa', 'unit', 'said', 'it', 'signed', 'a', 'tentative', 'agreement', 'extending', 'its', 'contract', 'with', 'boeing', 'co', '.', 'to', 'provide', 'structural', 'parts', 'for', 'boeing', \"'\", 's', '747', 'jet', '##liner', '##s', '.', '[SEP]']\n",
+      "Filtered   (034): ['rockwell', 'international', 'corp', '.', \"'\", 's', 'tulsa', 'unit', 'said', 'it', 'signed', 'a', 'tentative', 'agreement', 'extending', 'its', 'contract', 'with', 'boeing', 'co', '.', 'to', 'provide', 'structural', 'parts', 'for', 'boeing', \"'\", 's', '747', 'jet', '##liner', '##s', '.']\n",
+      "Detokenized (028): ['rockwell', 'international', 'corp.', \"'s\", 'tulsa', 'unit', 'said', 'it', 'signed', 'a', 'tentative', 'agreement', 'extending', 'its', 'contract', 'with', 'boeing', 'co.', 'to', 'provide', 'structural', 'parts', 'for', 'boeing', \"'s\", '747', 'jet##liner##s', '.']\n",
+      "Counter: 34\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 28, 768)\n",
+      "# Extracted words:  28\n",
+      "Sentence         : \"Rockwell said the agreement calls for it to supply 200 additional so-called shipsets for the planes .\"\n",
+      "Original    (017): ['Rockwell', 'said', 'the', 'agreement', 'calls', 'for', 'it', 'to', 'supply', '200', 'additional', 'so-called', 'shipsets', 'for', 'the', 'planes', '.']\n",
+      "Tokenized   (022): ['[CLS]', 'rockwell', 'said', 'the', 'agreement', 'calls', 'for', 'it', 'to', 'supply', '200', 'additional', 'so', '-', 'called', 'ships', '##ets', 'for', 'the', 'planes', '.', '[SEP]']\n",
+      "Filtered   (020): ['rockwell', 'said', 'the', 'agreement', 'calls', 'for', 'it', 'to', 'supply', '200', 'additional', 'so', '-', 'called', 'ships', '##ets', 'for', 'the', 'planes', '.']\n",
+      "Detokenized (017): ['rockwell', 'said', 'the', 'agreement', 'calls', 'for', 'it', 'to', 'supply', '200', 'additional', 'so-called', 'ships##ets', 'for', 'the', 'planes', '.']\n",
+      "Counter: 20\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 17, 768)\n",
+      "# Extracted words:  17\n",
+      "Sentence         : \"These include , among other parts , each jetliner 's two major bulkheads , a pressure floor , torque box , fixed leading edges for the wings and an aft keel beam .\"\n",
+      "Original    (033): ['These', 'include', ',', 'among', 'other', 'parts', ',', 'each', 'jetliner', \"'s\", 'two', 'major', 'bulkheads', ',', 'a', 'pressure', 'floor', ',', 'torque', 'box', ',', 'fixed', 'leading', 'edges', 'for', 'the', 'wings', 'and', 'an', 'aft', 'keel', 'beam', '.']\n",
+      "Tokenized   (038): ['[CLS]', 'these', 'include', ',', 'among', 'other', 'parts', ',', 'each', 'jet', '##liner', \"'\", 's', 'two', 'major', 'bulk', '##heads', ',', 'a', 'pressure', 'floor', ',', 'torque', 'box', ',', 'fixed', 'leading', 'edges', 'for', 'the', 'wings', 'and', 'an', 'aft', 'keel', 'beam', '.', '[SEP]']\n",
+      "Filtered   (036): ['these', 'include', ',', 'among', 'other', 'parts', ',', 'each', 'jet', '##liner', \"'\", 's', 'two', 'major', 'bulk', '##heads', ',', 'a', 'pressure', 'floor', ',', 'torque', 'box', ',', 'fixed', 'leading', 'edges', 'for', 'the', 'wings', 'and', 'an', 'aft', 'keel', 'beam', '.']\n",
+      "Detokenized (033): ['these', 'include', ',', 'among', 'other', 'parts', ',', 'each', 'jet##liner', \"'s\", 'two', 'major', 'bulk##heads', ',', 'a', 'pressure', 'floor', ',', 'torque', 'box', ',', 'fixed', 'leading', 'edges', 'for', 'the', 'wings', 'and', 'an', 'aft', 'keel', 'beam', '.']\n",
+      "Counter: 36\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 33, 768)\n",
+      "# Extracted words:  33\n",
+      "Sentence         : \"Under the existing contract , Rockwell said , it has already delivered 793 of the shipsets to Boeing .\"\n",
+      "Original    (019): ['Under', 'the', 'existing', 'contract', ',', 'Rockwell', 'said', ',', 'it', 'has', 'already', 'delivered', '793', 'of', 'the', 'shipsets', 'to', 'Boeing', '.']\n",
+      "Tokenized   (023): ['[CLS]', 'under', 'the', 'existing', 'contract', ',', 'rockwell', 'said', ',', 'it', 'has', 'already', 'delivered', '79', '##3', 'of', 'the', 'ships', '##ets', 'to', 'boeing', '.', '[SEP]']\n",
+      "Filtered   (021): ['under', 'the', 'existing', 'contract', ',', 'rockwell', 'said', ',', 'it', 'has', 'already', 'delivered', '79', '##3', 'of', 'the', 'ships', '##ets', 'to', 'boeing', '.']\n",
+      "Detokenized (019): ['under', 'the', 'existing', 'contract', ',', 'rockwell', 'said', ',', 'it', 'has', 'already', 'delivered', '79##3', 'of', 'the', 'ships##ets', 'to', 'boeing', '.']\n",
+      "Counter: 21\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 19, 768)\n",
+      "# Extracted words:  19\n",
+      "Sentence         : \"Rockwell , based in El Segundo , Calif. , is an aerospace , electronics , automotive and graphics concern .\"\n",
+      "Original    (020): ['Rockwell', ',', 'based', 'in', 'El', 'Segundo', ',', 'Calif.', ',', 'is', 'an', 'aerospace', ',', 'electronics', ',', 'automotive', 'and', 'graphics', 'concern', '.']\n",
+      "Tokenized   (026): ['[CLS]', 'rockwell', ',', 'based', 'in', 'el', 'se', '##gun', '##do', ',', 'cal', '##if', '.', ',', 'is', 'an', 'aerospace', ',', 'electronics', ',', 'automotive', 'and', 'graphics', 'concern', '.', '[SEP]']\n",
+      "Filtered   (024): ['rockwell', ',', 'based', 'in', 'el', 'se', '##gun', '##do', ',', 'cal', '##if', '.', ',', 'is', 'an', 'aerospace', ',', 'electronics', ',', 'automotive', 'and', 'graphics', 'concern', '.']\n",
+      "Detokenized (020): ['rockwell', ',', 'based', 'in', 'el', 'se##gun##do', ',', 'cal##if.', ',', 'is', 'an', 'aerospace', ',', 'electronics', ',', 'automotive', 'and', 'graphics', 'concern', '.']\n",
+      "Counter: 24\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 20, 768)\n",
+      "# Extracted words:  20\n",
+      "Sentence         : \"Frank Carlucci III was named to this telecommunications company 's board , filling the vacancy created by the death of William Sobey last May .\"\n",
+      "Original    (025): ['Frank', 'Carlucci', 'III', 'was', 'named', 'to', 'this', 'telecommunications', 'company', \"'s\", 'board', ',', 'filling', 'the', 'vacancy', 'created', 'by', 'the', 'death', 'of', 'William', 'Sobey', 'last', 'May', '.']\n",
+      "Tokenized   (030): ['[CLS]', 'frank', 'carl', '##ucci', 'iii', 'was', 'named', 'to', 'this', 'telecommunications', 'company', \"'\", 's', 'board', ',', 'filling', 'the', 'vacancy', 'created', 'by', 'the', 'death', 'of', 'william', 'sob', '##ey', 'last', 'may', '.', '[SEP]']\n",
+      "Filtered   (028): ['frank', 'carl', '##ucci', 'iii', 'was', 'named', 'to', 'this', 'telecommunications', 'company', \"'\", 's', 'board', ',', 'filling', 'the', 'vacancy', 'created', 'by', 'the', 'death', 'of', 'william', 'sob', '##ey', 'last', 'may', '.']\n",
+      "Detokenized (025): ['frank', 'carl##ucci', 'iii', 'was', 'named', 'to', 'this', 'telecommunications', 'company', \"'s\", 'board', ',', 'filling', 'the', 'vacancy', 'created', 'by', 'the', 'death', 'of', 'william', 'sob##ey', 'last', 'may', '.']\n",
+      "Counter: 28\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 25, 768)\n",
+      "# Extracted words:  25\n",
+      "Sentence         : \"Mr. Carlucci , 59 years old , served as defense secretary in the Reagan administration .\"\n",
+      "Original    (016): ['Mr.', 'Carlucci', ',', '59', 'years', 'old', ',', 'served', 'as', 'defense', 'secretary', 'in', 'the', 'Reagan', 'administration', '.']\n",
+      "Tokenized   (020): ['[CLS]', 'mr', '.', 'carl', '##ucci', ',', '59', 'years', 'old', ',', 'served', 'as', 'defense', 'secretary', 'in', 'the', 'reagan', 'administration', '.', '[SEP]']\n",
+      "Filtered   (018): ['mr', '.', 'carl', '##ucci', ',', '59', 'years', 'old', ',', 'served', 'as', 'defense', 'secretary', 'in', 'the', 'reagan', 'administration', '.']\n",
+      "Detokenized (016): ['mr.', 'carl##ucci', ',', '59', 'years', 'old', ',', 'served', 'as', 'defense', 'secretary', 'in', 'the', 'reagan', 'administration', '.']\n",
+      "Counter: 18\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 16, 768)\n",
+      "# Extracted words:  16\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Sentence         : \"In January , he accepted the position of vice chairman of Carlyle Group , a merchant banking concern .\"\n",
+      "Original    (019): ['In', 'January', ',', 'he', 'accepted', 'the', 'position', 'of', 'vice', 'chairman', 'of', 'Carlyle', 'Group', ',', 'a', 'merchant', 'banking', 'concern', '.']\n",
+      "Tokenized   (022): ['[CLS]', 'in', 'january', ',', 'he', 'accepted', 'the', 'position', 'of', 'vice', 'chairman', 'of', 'carly', '##le', 'group', ',', 'a', 'merchant', 'banking', 'concern', '.', '[SEP]']\n",
+      "Filtered   (020): ['in', 'january', ',', 'he', 'accepted', 'the', 'position', 'of', 'vice', 'chairman', 'of', 'carly', '##le', 'group', ',', 'a', 'merchant', 'banking', 'concern', '.']\n",
+      "Detokenized (019): ['in', 'january', ',', 'he', 'accepted', 'the', 'position', 'of', 'vice', 'chairman', 'of', 'carly##le', 'group', ',', 'a', 'merchant', 'banking', 'concern', '.']\n",
+      "Counter: 20\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 19, 768)\n",
+      "# Extracted words:  19\n",
+      "Sentence         : \"SHEARSON LEHMAN HUTTON Inc .\"\n",
+      "Original    (005): ['SHEARSON', 'LEHMAN', 'HUTTON', 'Inc', '.']\n",
+      "Tokenized   (008): ['[CLS]', 'shear', '##son', 'lehman', 'hutton', 'inc', '.', '[SEP]']\n",
+      "Filtered   (006): ['shear', '##son', 'lehman', 'hutton', 'inc', '.']\n",
+      "Detokenized (005): ['shear##son', 'lehman', 'hutton', 'inc', '.']\n",
+      "Counter: 6\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 5, 768)\n",
+      "# Extracted words:  5\n",
+      "Sentence         : \"Thomas E. Meador , 42 years old , was named president and chief operating officer of Balcor Co. , a Skokie , Ill. , subsidiary of this New York investment banking firm .\"\n",
+      "Original    (033): ['Thomas', 'E.', 'Meador', ',', '42', 'years', 'old', ',', 'was', 'named', 'president', 'and', 'chief', 'operating', 'officer', 'of', 'Balcor', 'Co.', ',', 'a', 'Skokie', ',', 'Ill.', ',', 'subsidiary', 'of', 'this', 'New', 'York', 'investment', 'banking', 'firm', '.']\n",
+      "Tokenized   (042): ['[CLS]', 'thomas', 'e', '.', 'mead', '##or', ',', '42', 'years', 'old', ',', 'was', 'named', 'president', 'and', 'chief', 'operating', 'officer', 'of', 'bal', '##cor', 'co', '.', ',', 'a', 'sk', '##oki', '##e', ',', 'ill', '.', ',', 'subsidiary', 'of', 'this', 'new', 'york', 'investment', 'banking', 'firm', '.', '[SEP]']\n",
+      "Filtered   (040): ['thomas', 'e', '.', 'mead', '##or', ',', '42', 'years', 'old', ',', 'was', 'named', 'president', 'and', 'chief', 'operating', 'officer', 'of', 'bal', '##cor', 'co', '.', ',', 'a', 'sk', '##oki', '##e', ',', 'ill', '.', ',', 'subsidiary', 'of', 'this', 'new', 'york', 'investment', 'banking', 'firm', '.']\n",
+      "Detokenized (033): ['thomas', 'e.', 'mead##or', ',', '42', 'years', 'old', ',', 'was', 'named', 'president', 'and', 'chief', 'operating', 'officer', 'of', 'bal##cor', 'co.', ',', 'a', 'sk##oki##e', ',', 'ill.', ',', 'subsidiary', 'of', 'this', 'new', 'york', 'investment', 'banking', 'firm', '.']\n",
+      "Counter: 40\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 33, 768)\n",
+      "# Extracted words:  33\n"
+     ]
+    }
+   ],
+   "source": [
+    "# extract activations for the test sentences \n",
+    "transformers_extractor.extract_representations('bert-base-uncased',\n",
+    "    test_sentences,\n",
+    "    'test_activations.json',\n",
+    "    aggregation=\"average\" #last, first\n",
+    ")"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "3c5ef91a",
+   "metadata": {},
+   "source": [
+    "# Train Linear Probe "
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "id": "9ae96309",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Loading json activations from train_activations.json...\n",
+      "10 13.0\n"
+     ]
+    }
+   ],
+   "source": [
+    "# add code for training a probe here\n",
+    "activations, num_layers = data_loader.load_activations('train_activations.json', 768)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 9,
+   "id": "00d7fc1c",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "tokens = data_loader.load_data(train_sentences, train_labels, activations, 512)\n",
+    "tokens = control_task.create_sequence_labeling_dataset(tokens)[0]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "id": "3c47f507",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Number of tokens:  224\n",
+      "length of source dictionary:  142\n",
+      "length of target dictionary:  22\n",
+      "224\n",
+      "Total instances: 224\n",
+      "['New', 'lungs', 'filters', 'properties', 'There', 'Consolidated', 'show', 'This', 'to', 'has', 'named', 'Elsevier', 'of', 'fiber', 'appear', '61', 'said', 'is', 'Mr.', 'decades']\n",
+      "Number of samples:  224\n",
+      "Stats: Labels with their frequencies in the final set\n",
+      "0 24\n",
+      "1 13\n",
+      "2 3\n",
+      "3 27\n",
+      "4 4\n",
+      "7 32\n",
+      "8 37\n",
+      "9 17\n",
+      "10 8\n",
+      "12 3\n",
+      "14 2\n",
+      "15 4\n",
+      "16 1\n",
+      "17 15\n",
+      "18 4\n",
+      "19 5\n",
+      "21 14\n",
+      "22 2\n",
+      "23 1\n",
+      "25 5\n",
+      "27 2\n",
+      "28 1\n"
+     ]
+    }
+   ],
+   "source": [
+    "X, y, mapping = utils.create_tensors(tokens, activations, 'NN')\n",
+    "label2idx, idx2label, src2idx, idx2src = mapping"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "id": "08d843df",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Training classification probe\n",
+      "Creating model...\n",
+      "Number of training instances: 224\n",
+      "Number of classes: 22\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.007963895797729492,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [1/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "30c5d26a1d2745dcb7a481e01f431638",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [1/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [1/10], Loss: 0.1082\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.015727519989013672,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [2/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "e63f82c43ce8411c978b7f1fba4e6e7f",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [2/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [2/10], Loss: 0.0425\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004208564758300781,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [3/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "a4c02b63de264cf7b2d1250ae95ced74",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [3/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [3/10], Loss: 0.0360\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.0041844844818115234,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [4/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "0e9996c667274d77acf6af64709e2a95",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [4/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [4/10], Loss: 0.0337\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
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+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
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+      "text/plain": [
+       "epoch [5/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [5/10], Loss: 0.0302\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
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+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "931c1e7984044963a49a7dfa6a31a65c",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [6/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [6/10], Loss: 0.0264\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004184722900390625,
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+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "a9b364082e6f41e9add97971b32b3c68",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [7/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [7/10], Loss: 0.0229\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.0041370391845703125,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [8/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "2a6591eb38a34e72a3127dd047f568a0",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [8/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [8/10], Loss: 0.0200\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004132270812988281,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [9/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "664c868315f24559ba920b6121d38668",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [9/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [9/10], Loss: 0.0176\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004708528518676758,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [10/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "b296e9cc2f10474a884bf939631d23dd",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [10/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [10/10], Loss: 0.0159\n"
+     ]
+    }
+   ],
+   "source": [
+    "probe = linear_probe.train_logistic_regression_probe(X, y, lambda_l1=0.001, lambda_l2=0.001)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "378bbc45",
+   "metadata": {},
+   "source": [
+    "# Evaluate Linear Probe"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "9e6a616f",
+   "metadata": {},
+   "source": [
+    "## Evaluate On Dev data"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 12,
+   "id": "814e3d0f",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Loading json activations from dev_activations.json...\n",
+      "10 13.0\n",
+      "Number of tokens:  261\n",
+      "length of source dictionary:  158\n",
+      "length of target dictionary:  26\n",
+      "261\n",
+      "Total instances: 261\n",
+      "['New', 'value', 'trade', 'share', 'currency', 'ended', 'month', '22', 'Exchange', 'Corporations', 'to', 'by', 'Press', 'last', 'after', 'for', 'of', 'rate', 'at', 'compared']\n",
+      "Number of samples:  261\n",
+      "Stats: Labels with their frequencies in the final set\n",
+      "VBD 9\n",
+      "VB 4\n",
+      "'' 1\n",
+      "VBN 9\n",
+      ". 10\n",
+      "CD 11\n",
+      "PDT 1\n",
+      "NNP 34\n",
+      "RBR 1\n",
+      "$ 4\n",
+      "CC 5\n",
+      "VBZ 5\n",
+      "`` 2\n",
+      "DT 30\n",
+      "JJ 14\n",
+      "IN 27\n",
+      "VBG 4\n",
+      "NN 49\n",
+      "JJR 3\n",
+      "RB 6\n",
+      "PRP$ 2\n",
+      "RP 1\n",
+      ", 11\n",
+      "TO 2\n",
+      "NNS 10\n",
+      "POS 6\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004193782806396484,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "Evaluating",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "21e77dbbc32b405fbaa1830ef54363b0",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "Evaluating: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Score (accuracy) of the probe: 0.05\n"
+     ]
+    },
+    {
+     "data": {
+      "text/plain": [
+       "{'__OVERALL__': 0.05363984674329502}"
+      ]
+     },
+     "execution_count": 12,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "activations, num_layers = data_loader.load_activations('dev_activations.json', 768)\n",
+    "tokens = data_loader.load_data(dev_sentences, dev_labels, activations, 512)\n",
+    "X_dev, y_dev, mapping = utils.create_tensors(tokens, activations, 'NN')\n",
+    "scores = linear_probe.evaluate_probe(probe, X_dev, y_dev)\n",
+    "scores"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "c8e5e222",
+   "metadata": {},
+   "source": [
+    "## Evaluate On Test Data"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "id": "4e74198e",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Loading json activations from test_activations.json...\n",
+      "10 13.0\n",
+      "Number of tokens:  215\n",
+      "length of source dictionary:  134\n",
+      "length of target dictionary:  21\n",
+      "215\n",
+      "Total instances: 215\n",
+      "['New', 'planes', '793', 'chief', 'LEHMAN', 'to', 'has', 'named', 'by', 'Skokie', 'last', 'additional', 'These', 'William', 'for', 'of', 'said', 'is', '200', 'Mr.']\n",
+      "Number of samples:  215\n",
+      "Stats: Labels with their frequencies in the final set\n",
+      "VBD 8\n",
+      "VB 2\n",
+      "VBN 6\n",
+      ". 10\n",
+      "CD 6\n",
+      "NNP 39\n",
+      "CC 3\n",
+      "VBZ 3\n",
+      "DT 19\n",
+      "JJ 11\n",
+      "VBP 1\n",
+      "IN 18\n",
+      "VBG 5\n",
+      "NN 34\n",
+      "PRP 4\n",
+      "RB 1\n",
+      "PRP$ 1\n",
+      ", 22\n",
+      "TO 4\n",
+      "NNS 14\n",
+      "POS 4\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.003946542739868164,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "Evaluating",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "26e7d46d29ba4e97924a93298359e798",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "Evaluating: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Score (accuracy) of the probe: 0.03\n"
+     ]
+    },
+    {
+     "data": {
+      "text/plain": [
+       "{'__OVERALL__': 0.03255813953488372}"
+      ]
+     },
+     "execution_count": 13,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "activations, num_layers = data_loader.load_activations('test_activations.json', 768)\n",
+    "tokens = data_loader.load_data(test_sentences, test_labels, activations, 512)\n",
+    "X_test, y_test, mapping = utils.create_tensors(tokens, activations, 'NN')\n",
+    "scores = linear_probe.evaluate_probe(probe, X_test, y_test)\n",
+    "scores"
+   ]
+  }
+ ],
+ "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": "3.9.12"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/tutorials/Layerwise Probe Training and Evaluation.ipynb b/tutorials/Layerwise Probe Training and Evaluation.ipynb
new file mode 100644
index 0000000..28322d9
--- /dev/null
+++ b/tutorials/Layerwise Probe Training and Evaluation.ipynb	
@@ -0,0 +1,1291 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "id": "4aebc884",
+   "metadata": {},
+   "source": [
+    "# Imports"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "id": "a7c82f46",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import neurox.data.extraction.transformers_extractor as transformers_extractor\n",
+    "import neurox.data.loader as data_loader\n",
+    "import neurox.interpretation.utils as utils\n",
+    "import neurox.interpretation.linear_probe as linear_probe\n",
+    "import neurox.interpretation.ablation as ablation"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "33c6955c",
+   "metadata": {},
+   "source": [
+    "# Data"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "id": "2ba0d90b",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# define paths to your word and label files \n",
+    "train_sentences = \"data/pos_train.word\"\n",
+    "train_labels = \"data/pos_train.label\"\n",
+    "dev_sentences = \"data/pos_dev.word\"\n",
+    "dev_labels = \"data/pos_dev.label\" \n",
+    "test_sentences = \"data/pos_test.word\"\n",
+    "test_labels = \"data/pos_test.label\""
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "id": "37fdbf0d",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Pierre Vinken , 61 years old , will join the board as a nonexecutive director Nov. 29 .\r\n",
+      "Mr. Vinken is chairman of Elsevier N.V. , the Dutch publishing group .\r\n",
+      "Rudolph Agnew , 55 years old and former chairman of Consolidated Gold Fields PLC , was named a nonexecutive director of this British industrial conglomerate .\r\n",
+      "A form of asbestos once used to make Kent cigarette filters has caused a high percentage of cancer deaths among a group of workers exposed to it more than 30 years ago , researchers reported .\r\n",
+      "The asbestos fiber , crocidolite , is unusually resilient once it enters the lungs , with even brief exposures to it causing symptoms that show up decades later , researchers said .\r\n",
+      "Lorillard Inc. , the unit of New York-based Loews Corp. that makes Kent cigarettes , stopped using crocidolite in its Micronite cigarette filters in 1956 .\r\n",
+      "Although preliminary findings were reported more than a year ago , the latest results appear in today 's New England Journal of Medicine , a forum likely to bring new attention to the problem .\r\n",
+      "A Lorillard spokewoman said , `` This is an old story .\r\n",
+      "We 're talking about years ago before anyone heard of asbestos having any questionable properties .\r\n",
+      "There is no asbestos in our products now . ''\r\n"
+     ]
+    }
+   ],
+   "source": [
+    "# inspect data\n",
+    "!cat \"data/pos_train.word\""
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "id": "78fdf912",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "NNP NNP , CD NNS JJ , MD VB DT NN IN DT JJ NN NNP CD .\r\n",
+      "NNP NNP VBZ NN IN NNP NNP , DT NNP VBG NN .\r\n",
+      "NNP NNP , CD NNS JJ CC JJ NN IN NNP NNP NNP NNP , VBD VBN DT JJ NN IN DT JJ JJ NN .\r\n",
+      "DT NN IN NN RB VBN TO VB NNP NN NNS VBZ VBN DT JJ NN IN NN NNS IN DT NN IN NNS VBN TO PRP RBR IN CD NNS IN , NNS VBD .\r\n",
+      "DT NN NN , NN , VBZ RB JJ IN PRP VBZ DT NNS , IN RB JJ NNS TO PRP VBG NNS WDT VBP RP NNS JJ , NNS VBD .\r\n",
+      "NNP NNP , DT NN IN JJ JJ NNP NNP WDT VBZ NNP NNS , VBD VBG NN IN PRP$ NN NN NNS IN CD .\r\n",
+      "IN JJ NNS VBD VBN RBR IN DT NN IN , DT JJS NNS VBP IN NN POS NNP NNP NNP IN NNP , DT NN JJ TO VB JJ NN TO DT NN .\r\n",
+      "DT NNP NN VBD , `` DT VBZ DT JJ NN .\r\n",
+      "PRP VBP VBG IN NNS IN IN NN VBD IN NN VBG DT JJ NNS .\r\n",
+      "EX VBZ DT NN IN PRP$ NNS RB . ''\r\n"
+     ]
+    }
+   ],
+   "source": [
+    "!cat \"data/pos_train.label\""
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "a833edb2",
+   "metadata": {},
+   "source": [
+    "# Extract Representations"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "id": "0975a202",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Loading model: bert-base-uncased\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "Some weights of the model checkpoint at bert-base-uncased were not used when initializing BertModel: ['cls.predictions.transform.LayerNorm.weight', 'cls.seq_relationship.weight', 'cls.predictions.transform.LayerNorm.bias', 'cls.predictions.bias', 'cls.predictions.transform.dense.weight', 'cls.seq_relationship.bias', 'cls.predictions.decoder.weight', 'cls.predictions.transform.dense.bias']\n",
+      "- This IS expected if you are initializing BertModel from the checkpoint of a model trained on another task or with another architecture (e.g. initializing a BertForSequenceClassification model from a BertForPreTraining model).\n",
+      "- This IS NOT expected if you are initializing BertModel from the checkpoint of a model that you expect to be exactly identical (initializing a BertForSequenceClassification model from a BertForSequenceClassification model).\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Reading input corpus\n",
+      "Preparing output file\n",
+      "Extracting representations from model\n",
+      "Sentence         : \"Pierre Vinken , 61 years old , will join the board as a nonexecutive director Nov. 29 .\"\n",
+      "Original    (018): ['Pierre', 'Vinken', ',', '61', 'years', 'old', ',', 'will', 'join', 'the', 'board', 'as', 'a', 'nonexecutive', 'director', 'Nov.', '29', '.']\n",
+      "Tokenized   (025): ['[CLS]', 'pierre', 'vin', '##ken', ',', '61', 'years', 'old', ',', 'will', 'join', 'the', 'board', 'as', 'a', 'none', '##x', '##ec', '##utive', 'director', 'nov', '.', '29', '.', '[SEP]']\n",
+      "Filtered   (023): ['pierre', 'vin', '##ken', ',', '61', 'years', 'old', ',', 'will', 'join', 'the', 'board', 'as', 'a', 'none', '##x', '##ec', '##utive', 'director', 'nov', '.', '29', '.']\n",
+      "Detokenized (018): ['pierre', 'vin##ken', ',', '61', 'years', 'old', ',', 'will', 'join', 'the', 'board', 'as', 'a', 'none##x##ec##utive', 'director', 'nov.', '29', '.']\n",
+      "Counter: 23\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 18, 768)\n",
+      "# Extracted words:  18\n",
+      "Sentence         : \"Mr. Vinken is chairman of Elsevier N.V. , the Dutch publishing group .\"\n",
+      "Original    (013): ['Mr.', 'Vinken', 'is', 'chairman', 'of', 'Elsevier', 'N.V.', ',', 'the', 'Dutch', 'publishing', 'group', '.']\n",
+      "Tokenized   (021): ['[CLS]', 'mr', '.', 'vin', '##ken', 'is', 'chairman', 'of', 'else', '##vier', 'n', '.', 'v', '.', ',', 'the', 'dutch', 'publishing', 'group', '.', '[SEP]']\n",
+      "Filtered   (019): ['mr', '.', 'vin', '##ken', 'is', 'chairman', 'of', 'else', '##vier', 'n', '.', 'v', '.', ',', 'the', 'dutch', 'publishing', 'group', '.']\n",
+      "Detokenized (013): ['mr.', 'vin##ken', 'is', 'chairman', 'of', 'else##vier', 'n.v.', ',', 'the', 'dutch', 'publishing', 'group', '.']\n",
+      "Counter: 19\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 13, 768)\n",
+      "# Extracted words:  13\n",
+      "Sentence         : \"Rudolph Agnew , 55 years old and former chairman of Consolidated Gold Fields PLC , was named a nonexecutive director of this British industrial conglomerate .\"\n",
+      "Original    (026): ['Rudolph', 'Agnew', ',', '55', 'years', 'old', 'and', 'former', 'chairman', 'of', 'Consolidated', 'Gold', 'Fields', 'PLC', ',', 'was', 'named', 'a', 'nonexecutive', 'director', 'of', 'this', 'British', 'industrial', 'conglomerate', '.']\n",
+      "Tokenized   (033): ['[CLS]', 'rudolph', 'ag', '##ne', '##w', ',', '55', 'years', 'old', 'and', 'former', 'chairman', 'of', 'consolidated', 'gold', 'fields', 'plc', ',', 'was', 'named', 'a', 'none', '##x', '##ec', '##utive', 'director', 'of', 'this', 'british', 'industrial', 'conglomerate', '.', '[SEP]']\n",
+      "Filtered   (031): ['rudolph', 'ag', '##ne', '##w', ',', '55', 'years', 'old', 'and', 'former', 'chairman', 'of', 'consolidated', 'gold', 'fields', 'plc', ',', 'was', 'named', 'a', 'none', '##x', '##ec', '##utive', 'director', 'of', 'this', 'british', 'industrial', 'conglomerate', '.']\n",
+      "Detokenized (026): ['rudolph', 'ag##ne##w', ',', '55', 'years', 'old', 'and', 'former', 'chairman', 'of', 'consolidated', 'gold', 'fields', 'plc', ',', 'was', 'named', 'a', 'none##x##ec##utive', 'director', 'of', 'this', 'british', 'industrial', 'conglomerate', '.']\n",
+      "Counter: 31\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 26, 768)\n",
+      "# Extracted words:  26\n",
+      "Sentence         : \"A form of asbestos once used to make Kent cigarette filters has caused a high percentage of cancer deaths among a group of workers exposed to it more than 30 years ago , researchers reported .\"\n",
+      "Original    (036): ['A', 'form', 'of', 'asbestos', 'once', 'used', 'to', 'make', 'Kent', 'cigarette', 'filters', 'has', 'caused', 'a', 'high', 'percentage', 'of', 'cancer', 'deaths', 'among', 'a', 'group', 'of', 'workers', 'exposed', 'to', 'it', 'more', 'than', '30', 'years', 'ago', ',', 'researchers', 'reported', '.']\n",
+      "Tokenized   (038): ['[CLS]', 'a', 'form', 'of', 'asbestos', 'once', 'used', 'to', 'make', 'kent', 'cigarette', 'filters', 'has', 'caused', 'a', 'high', 'percentage', 'of', 'cancer', 'deaths', 'among', 'a', 'group', 'of', 'workers', 'exposed', 'to', 'it', 'more', 'than', '30', 'years', 'ago', ',', 'researchers', 'reported', '.', '[SEP]']\n",
+      "Filtered   (036): ['a', 'form', 'of', 'asbestos', 'once', 'used', 'to', 'make', 'kent', 'cigarette', 'filters', 'has', 'caused', 'a', 'high', 'percentage', 'of', 'cancer', 'deaths', 'among', 'a', 'group', 'of', 'workers', 'exposed', 'to', 'it', 'more', 'than', '30', 'years', 'ago', ',', 'researchers', 'reported', '.']\n",
+      "Detokenized (036): ['a', 'form', 'of', 'asbestos', 'once', 'used', 'to', 'make', 'kent', 'cigarette', 'filters', 'has', 'caused', 'a', 'high', 'percentage', 'of', 'cancer', 'deaths', 'among', 'a', 'group', 'of', 'workers', 'exposed', 'to', 'it', 'more', 'than', '30', 'years', 'ago', ',', 'researchers', 'reported', '.']\n",
+      "Counter: 36\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 36, 768)\n",
+      "# Extracted words:  36\n",
+      "Sentence         : \"The asbestos fiber , crocidolite , is unusually resilient once it enters the lungs , with even brief exposures to it causing symptoms that show up decades later , researchers said .\"\n",
+      "Original    (032): ['The', 'asbestos', 'fiber', ',', 'crocidolite', ',', 'is', 'unusually', 'resilient', 'once', 'it', 'enters', 'the', 'lungs', ',', 'with', 'even', 'brief', 'exposures', 'to', 'it', 'causing', 'symptoms', 'that', 'show', 'up', 'decades', 'later', ',', 'researchers', 'said', '.']\n",
+      "Tokenized   (040): ['[CLS]', 'the', 'asbestos', 'fiber', ',', 'cr', '##oc', '##ido', '##lite', ',', 'is', 'unusually', 'res', '##ili', '##ent', 'once', 'it', 'enters', 'the', 'lungs', ',', 'with', 'even', 'brief', 'exposure', '##s', 'to', 'it', 'causing', 'symptoms', 'that', 'show', 'up', 'decades', 'later', ',', 'researchers', 'said', '.', '[SEP]']\n",
+      "Filtered   (038): ['the', 'asbestos', 'fiber', ',', 'cr', '##oc', '##ido', '##lite', ',', 'is', 'unusually', 'res', '##ili', '##ent', 'once', 'it', 'enters', 'the', 'lungs', ',', 'with', 'even', 'brief', 'exposure', '##s', 'to', 'it', 'causing', 'symptoms', 'that', 'show', 'up', 'decades', 'later', ',', 'researchers', 'said', '.']\n",
+      "Detokenized (032): ['the', 'asbestos', 'fiber', ',', 'cr##oc##ido##lite', ',', 'is', 'unusually', 'res##ili##ent', 'once', 'it', 'enters', 'the', 'lungs', ',', 'with', 'even', 'brief', 'exposure##s', 'to', 'it', 'causing', 'symptoms', 'that', 'show', 'up', 'decades', 'later', ',', 'researchers', 'said', '.']\n",
+      "Counter: 38\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 32, 768)\n",
+      "# Extracted words:  32\n",
+      "Sentence         : \"Lorillard Inc. , the unit of New York-based Loews Corp. that makes Kent cigarettes , stopped using crocidolite in its Micronite cigarette filters in 1956 .\"\n",
+      "Original    (026): ['Lorillard', 'Inc.', ',', 'the', 'unit', 'of', 'New', 'York-based', 'Loews', 'Corp.', 'that', 'makes', 'Kent', 'cigarettes', ',', 'stopped', 'using', 'crocidolite', 'in', 'its', 'Micronite', 'cigarette', 'filters', 'in', '1956', '.']\n",
+      "Tokenized   (041): ['[CLS]', 'lori', '##llar', '##d', 'inc', '.', ',', 'the', 'unit', 'of', 'new', 'york', '-', 'based', 'lo', '##ew', '##s', 'corp', '.', 'that', 'makes', 'kent', 'cigarettes', ',', 'stopped', 'using', 'cr', '##oc', '##ido', '##lite', 'in', 'its', 'micro', '##ni', '##te', 'cigarette', 'filters', 'in', '1956', '.', '[SEP]']\n",
+      "Filtered   (039): ['lori', '##llar', '##d', 'inc', '.', ',', 'the', 'unit', 'of', 'new', 'york', '-', 'based', 'lo', '##ew', '##s', 'corp', '.', 'that', 'makes', 'kent', 'cigarettes', ',', 'stopped', 'using', 'cr', '##oc', '##ido', '##lite', 'in', 'its', 'micro', '##ni', '##te', 'cigarette', 'filters', 'in', '1956', '.']\n",
+      "Detokenized (026): ['lori##llar##d', 'inc.', ',', 'the', 'unit', 'of', 'new', 'york-based', 'lo##ew##s', 'corp.', 'that', 'makes', 'kent', 'cigarettes', ',', 'stopped', 'using', 'cr##oc##ido##lite', 'in', 'its', 'micro##ni##te', 'cigarette', 'filters', 'in', '1956', '.']\n",
+      "Counter: 39\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 26, 768)\n",
+      "# Extracted words:  26\n",
+      "Sentence         : \"Although preliminary findings were reported more than a year ago , the latest results appear in today 's New England Journal of Medicine , a forum likely to bring new attention to the problem .\"\n",
+      "Original    (035): ['Although', 'preliminary', 'findings', 'were', 'reported', 'more', 'than', 'a', 'year', 'ago', ',', 'the', 'latest', 'results', 'appear', 'in', 'today', \"'s\", 'New', 'England', 'Journal', 'of', 'Medicine', ',', 'a', 'forum', 'likely', 'to', 'bring', 'new', 'attention', 'to', 'the', 'problem', '.']\n",
+      "Tokenized   (038): ['[CLS]', 'although', 'preliminary', 'findings', 'were', 'reported', 'more', 'than', 'a', 'year', 'ago', ',', 'the', 'latest', 'results', 'appear', 'in', 'today', \"'\", 's', 'new', 'england', 'journal', 'of', 'medicine', ',', 'a', 'forum', 'likely', 'to', 'bring', 'new', 'attention', 'to', 'the', 'problem', '.', '[SEP]']\n",
+      "Filtered   (036): ['although', 'preliminary', 'findings', 'were', 'reported', 'more', 'than', 'a', 'year', 'ago', ',', 'the', 'latest', 'results', 'appear', 'in', 'today', \"'\", 's', 'new', 'england', 'journal', 'of', 'medicine', ',', 'a', 'forum', 'likely', 'to', 'bring', 'new', 'attention', 'to', 'the', 'problem', '.']\n",
+      "Detokenized (035): ['although', 'preliminary', 'findings', 'were', 'reported', 'more', 'than', 'a', 'year', 'ago', ',', 'the', 'latest', 'results', 'appear', 'in', 'today', \"'s\", 'new', 'england', 'journal', 'of', 'medicine', ',', 'a', 'forum', 'likely', 'to', 'bring', 'new', 'attention', 'to', 'the', 'problem', '.']\n",
+      "Counter: 36\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 35, 768)\n",
+      "# Extracted words:  35\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Sentence         : \"A Lorillard spokewoman said , `` This is an old story .\"\n",
+      "Original    (012): ['A', 'Lorillard', 'spokewoman', 'said', ',', '``', 'This', 'is', 'an', 'old', 'story', '.']\n",
+      "Tokenized   (018): ['[CLS]', 'a', 'lori', '##llar', '##d', 'spoke', '##woman', 'said', ',', '`', '`', 'this', 'is', 'an', 'old', 'story', '.', '[SEP]']\n",
+      "Filtered   (016): ['a', 'lori', '##llar', '##d', 'spoke', '##woman', 'said', ',', '`', '`', 'this', 'is', 'an', 'old', 'story', '.']\n",
+      "Detokenized (012): ['a', 'lori##llar##d', 'spoke##woman', 'said', ',', '``', 'this', 'is', 'an', 'old', 'story', '.']\n",
+      "Counter: 16\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 12, 768)\n",
+      "# Extracted words:  12\n",
+      "Sentence         : \"We 're talking about years ago before anyone heard of asbestos having any questionable properties .\"\n",
+      "Original    (016): ['We', \"'re\", 'talking', 'about', 'years', 'ago', 'before', 'anyone', 'heard', 'of', 'asbestos', 'having', 'any', 'questionable', 'properties', '.']\n",
+      "Tokenized   (019): ['[CLS]', 'we', \"'\", 're', 'talking', 'about', 'years', 'ago', 'before', 'anyone', 'heard', 'of', 'asbestos', 'having', 'any', 'questionable', 'properties', '.', '[SEP]']\n",
+      "Filtered   (017): ['we', \"'\", 're', 'talking', 'about', 'years', 'ago', 'before', 'anyone', 'heard', 'of', 'asbestos', 'having', 'any', 'questionable', 'properties', '.']\n",
+      "Detokenized (016): ['we', \"'re\", 'talking', 'about', 'years', 'ago', 'before', 'anyone', 'heard', 'of', 'asbestos', 'having', 'any', 'questionable', 'properties', '.']\n",
+      "Counter: 17\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 16, 768)\n",
+      "# Extracted words:  16\n",
+      "Sentence         : \"There is no asbestos in our products now . ''\"\n",
+      "Original    (010): ['There', 'is', 'no', 'asbestos', 'in', 'our', 'products', 'now', '.', \"''\"]\n",
+      "Tokenized   (013): ['[CLS]', 'there', 'is', 'no', 'asbestos', 'in', 'our', 'products', 'now', '.', \"'\", \"'\", '[SEP]']\n",
+      "Filtered   (011): ['there', 'is', 'no', 'asbestos', 'in', 'our', 'products', 'now', '.', \"'\", \"'\"]\n",
+      "Detokenized (010): ['there', 'is', 'no', 'asbestos', 'in', 'our', 'products', 'now', '.', \"''\"]\n",
+      "Counter: 11\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 10, 768)\n",
+      "# Extracted words:  10\n"
+     ]
+    }
+   ],
+   "source": [
+    "# extract activations for the train sentences \n",
+    "transformers_extractor.extract_representations('bert-base-uncased',\n",
+    "    train_sentences,\n",
+    "    'train_activations.json',\n",
+    "    aggregation=\"average\" #last, first\n",
+    ")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "id": "49c676e8",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Loading model: bert-base-uncased\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "Some weights of the model checkpoint at bert-base-uncased were not used when initializing BertModel: ['cls.predictions.transform.LayerNorm.weight', 'cls.seq_relationship.weight', 'cls.predictions.transform.LayerNorm.bias', 'cls.predictions.bias', 'cls.predictions.transform.dense.weight', 'cls.seq_relationship.bias', 'cls.predictions.decoder.weight', 'cls.predictions.transform.dense.bias']\n",
+      "- This IS expected if you are initializing BertModel from the checkpoint of a model trained on another task or with another architecture (e.g. initializing a BertForSequenceClassification model from a BertForPreTraining model).\n",
+      "- This IS NOT expected if you are initializing BertModel from the checkpoint of a model that you expect to be exactly identical (initializing a BertForSequenceClassification model from a BertForSequenceClassification model).\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Reading input corpus\n",
+      "Preparing output file\n",
+      "Extracting representations from model\n",
+      "Sentence         : \"The Arizona Corporations Commission authorized an 11.5 % rate increase at Tucson Electric Power Co. , substantially lower than recommended last month by a commission hearing officer and barely half the rise sought by the utility .\"\n",
+      "Original    (037): ['The', 'Arizona', 'Corporations', 'Commission', 'authorized', 'an', '11.5', '%', 'rate', 'increase', 'at', 'Tucson', 'Electric', 'Power', 'Co.', ',', 'substantially', 'lower', 'than', 'recommended', 'last', 'month', 'by', 'a', 'commission', 'hearing', 'officer', 'and', 'barely', 'half', 'the', 'rise', 'sought', 'by', 'the', 'utility', '.']\n",
+      "Tokenized   (042): ['[CLS]', 'the', 'arizona', 'corporations', 'commission', 'authorized', 'an', '11', '.', '5', '%', 'rate', 'increase', 'at', 'tucson', 'electric', 'power', 'co', '.', ',', 'substantially', 'lower', 'than', 'recommended', 'last', 'month', 'by', 'a', 'commission', 'hearing', 'officer', 'and', 'barely', 'half', 'the', 'rise', 'sought', 'by', 'the', 'utility', '.', '[SEP]']\n",
+      "Filtered   (040): ['the', 'arizona', 'corporations', 'commission', 'authorized', 'an', '11', '.', '5', '%', 'rate', 'increase', 'at', 'tucson', 'electric', 'power', 'co', '.', ',', 'substantially', 'lower', 'than', 'recommended', 'last', 'month', 'by', 'a', 'commission', 'hearing', 'officer', 'and', 'barely', 'half', 'the', 'rise', 'sought', 'by', 'the', 'utility', '.']\n",
+      "Detokenized (037): ['the', 'arizona', 'corporations', 'commission', 'authorized', 'an', '11.5', '%', 'rate', 'increase', 'at', 'tucson', 'electric', 'power', 'co.', ',', 'substantially', 'lower', 'than', 'recommended', 'last', 'month', 'by', 'a', 'commission', 'hearing', 'officer', 'and', 'barely', 'half', 'the', 'rise', 'sought', 'by', 'the', 'utility', '.']\n",
+      "Counter: 40\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 37, 768)\n",
+      "# Extracted words:  37\n",
+      "Sentence         : \"The ruling follows a host of problems at Tucson Electric , including major write-downs , a 60 % slash in the common stock dividend and the departure of former Chairman Einar Greve during a company investigation of his stock sales .\"\n",
+      "Original    (041): ['The', 'ruling', 'follows', 'a', 'host', 'of', 'problems', 'at', 'Tucson', 'Electric', ',', 'including', 'major', 'write-downs', ',', 'a', '60', '%', 'slash', 'in', 'the', 'common', 'stock', 'dividend', 'and', 'the', 'departure', 'of', 'former', 'Chairman', 'Einar', 'Greve', 'during', 'a', 'company', 'investigation', 'of', 'his', 'stock', 'sales', '.']\n",
+      "Tokenized   (048): ['[CLS]', 'the', 'ruling', 'follows', 'a', 'host', 'of', 'problems', 'at', 'tucson', 'electric', ',', 'including', 'major', 'write', '-', 'downs', ',', 'a', '60', '%', 'slash', 'in', 'the', 'common', 'stock', 'divide', '##nd', 'and', 'the', 'departure', 'of', 'former', 'chairman', 'ein', '##ar', 'gr', '##eve', 'during', 'a', 'company', 'investigation', 'of', 'his', 'stock', 'sales', '.', '[SEP]']\n",
+      "Filtered   (046): ['the', 'ruling', 'follows', 'a', 'host', 'of', 'problems', 'at', 'tucson', 'electric', ',', 'including', 'major', 'write', '-', 'downs', ',', 'a', '60', '%', 'slash', 'in', 'the', 'common', 'stock', 'divide', '##nd', 'and', 'the', 'departure', 'of', 'former', 'chairman', 'ein', '##ar', 'gr', '##eve', 'during', 'a', 'company', 'investigation', 'of', 'his', 'stock', 'sales', '.']\n",
+      "Detokenized (041): ['the', 'ruling', 'follows', 'a', 'host', 'of', 'problems', 'at', 'tucson', 'electric', ',', 'including', 'major', 'write-downs', ',', 'a', '60', '%', 'slash', 'in', 'the', 'common', 'stock', 'divide##nd', 'and', 'the', 'departure', 'of', 'former', 'chairman', 'ein##ar', 'gr##eve', 'during', 'a', 'company', 'investigation', 'of', 'his', 'stock', 'sales', '.']\n",
+      "Counter: 46\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 41, 768)\n",
+      "# Extracted words:  41\n",
+      "Sentence         : \"The Arizona regulatory ruling calls for $ 42 million in added revenue yearly , compared with a $ 57 million boost proposed by the commission hearing officer .\"\n",
+      "Original    (028): ['The', 'Arizona', 'regulatory', 'ruling', 'calls', 'for', '$', '42', 'million', 'in', 'added', 'revenue', 'yearly', ',', 'compared', 'with', 'a', '$', '57', 'million', 'boost', 'proposed', 'by', 'the', 'commission', 'hearing', 'officer', '.']\n",
+      "Tokenized   (030): ['[CLS]', 'the', 'arizona', 'regulatory', 'ruling', 'calls', 'for', '$', '42', 'million', 'in', 'added', 'revenue', 'yearly', ',', 'compared', 'with', 'a', '$', '57', 'million', 'boost', 'proposed', 'by', 'the', 'commission', 'hearing', 'officer', '.', '[SEP]']\n",
+      "Filtered   (028): ['the', 'arizona', 'regulatory', 'ruling', 'calls', 'for', '$', '42', 'million', 'in', 'added', 'revenue', 'yearly', ',', 'compared', 'with', 'a', '$', '57', 'million', 'boost', 'proposed', 'by', 'the', 'commission', 'hearing', 'officer', '.']\n",
+      "Detokenized (028): ['the', 'arizona', 'regulatory', 'ruling', 'calls', 'for', '$', '42', 'million', 'in', 'added', 'revenue', 'yearly', ',', 'compared', 'with', 'a', '$', '57', 'million', 'boost', 'proposed', 'by', 'the', 'commission', 'hearing', 'officer', '.']\n",
+      "Counter: 28\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 28, 768)\n",
+      "# Extracted words:  28\n",
+      "Sentence         : \"The company had sought increases totaling $ 80.3 million , or 22 % .\"\n",
+      "Original    (014): ['The', 'company', 'had', 'sought', 'increases', 'totaling', '$', '80.3', 'million', ',', 'or', '22', '%', '.']\n",
+      "Tokenized   (018): ['[CLS]', 'the', 'company', 'had', 'sought', 'increases', 'totaling', '$', '80', '.', '3', 'million', ',', 'or', '22', '%', '.', '[SEP]']\n",
+      "Filtered   (016): ['the', 'company', 'had', 'sought', 'increases', 'totaling', '$', '80', '.', '3', 'million', ',', 'or', '22', '%', '.']\n",
+      "Detokenized (014): ['the', 'company', 'had', 'sought', 'increases', 'totaling', '$', '80.3', 'million', ',', 'or', '22', '%', '.']\n",
+      "Counter: 16\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 14, 768)\n",
+      "# Extracted words:  14\n",
+      "Sentence         : \"The decision was announced after trading ended .\"\n",
+      "Original    (008): ['The', 'decision', 'was', 'announced', 'after', 'trading', 'ended', '.']\n",
+      "Tokenized   (010): ['[CLS]', 'the', 'decision', 'was', 'announced', 'after', 'trading', 'ended', '.', '[SEP]']\n",
+      "Filtered   (008): ['the', 'decision', 'was', 'announced', 'after', 'trading', 'ended', '.']\n",
+      "Detokenized (008): ['the', 'decision', 'was', 'announced', 'after', 'trading', 'ended', '.']\n",
+      "Counter: 8\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 8, 768)\n",
+      "# Extracted words:  8\n",
+      "Sentence         : \"Tucson Electric closed at $ 20.875 a share , down 25 cents , in New York Stock Exchange composite trading .\"\n",
+      "Original    (021): ['Tucson', 'Electric', 'closed', 'at', '$', '20.875', 'a', 'share', ',', 'down', '25', 'cents', ',', 'in', 'New', 'York', 'Stock', 'Exchange', 'composite', 'trading', '.']\n",
+      "Tokenized   (025): ['[CLS]', 'tucson', 'electric', 'closed', 'at', '$', '20', '.', '875', 'a', 'share', ',', 'down', '25', 'cents', ',', 'in', 'new', 'york', 'stock', 'exchange', 'composite', 'trading', '.', '[SEP]']\n",
+      "Filtered   (023): ['tucson', 'electric', 'closed', 'at', '$', '20', '.', '875', 'a', 'share', ',', 'down', '25', 'cents', ',', 'in', 'new', 'york', 'stock', 'exchange', 'composite', 'trading', '.']\n",
+      "Detokenized (021): ['tucson', 'electric', 'closed', 'at', '$', '20.875', 'a', 'share', ',', 'down', '25', 'cents', ',', 'in', 'new', 'york', 'stock', 'exchange', 'composite', 'trading', '.']\n",
+      "Counter: 23\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 21, 768)\n",
+      "# Extracted words:  21\n",
+      "Sentence         : \"A Tucson Electric spokesman said the utility was disappointed by the commission 's decision and `` concerned about the financial integrity of the company .\"\n",
+      "Original    (025): ['A', 'Tucson', 'Electric', 'spokesman', 'said', 'the', 'utility', 'was', 'disappointed', 'by', 'the', 'commission', \"'s\", 'decision', 'and', '``', 'concerned', 'about', 'the', 'financial', 'integrity', 'of', 'the', 'company', '.']\n",
+      "Tokenized   (029): ['[CLS]', 'a', 'tucson', 'electric', 'spokesman', 'said', 'the', 'utility', 'was', 'disappointed', 'by', 'the', 'commission', \"'\", 's', 'decision', 'and', '`', '`', 'concerned', 'about', 'the', 'financial', 'integrity', 'of', 'the', 'company', '.', '[SEP]']\n",
+      "Filtered   (027): ['a', 'tucson', 'electric', 'spokesman', 'said', 'the', 'utility', 'was', 'disappointed', 'by', 'the', 'commission', \"'\", 's', 'decision', 'and', '`', '`', 'concerned', 'about', 'the', 'financial', 'integrity', 'of', 'the', 'company', '.']\n",
+      "Detokenized (025): ['a', 'tucson', 'electric', 'spokesman', 'said', 'the', 'utility', 'was', 'disappointed', 'by', 'the', 'commission', \"'s\", 'decision', 'and', '``', 'concerned', 'about', 'the', 'financial', 'integrity', 'of', 'the', 'company', '.']\n",
+      "Counter: 27\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 25, 768)\n",
+      "# Extracted words:  25\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Sentence         : \"South Korean President Roh Tae Woo , brushing aside suggestions that the won be revalued again , said the currency 's current level against the dollar is `` appropriate . ''\"\n",
+      "Original    (031): ['South', 'Korean', 'President', 'Roh', 'Tae', 'Woo', ',', 'brushing', 'aside', 'suggestions', 'that', 'the', 'won', 'be', 'revalued', 'again', ',', 'said', 'the', 'currency', \"'s\", 'current', 'level', 'against', 'the', 'dollar', 'is', '``', 'appropriate', '.', \"''\"]\n",
+      "Tokenized   (040): ['[CLS]', 'south', 'korean', 'president', 'ro', '##h', 'tae', 'woo', ',', 'brushing', 'aside', 'suggestions', 'that', 'the', 'won', 'be', 'rev', '##al', '##ue', '##d', 'again', ',', 'said', 'the', 'currency', \"'\", 's', 'current', 'level', 'against', 'the', 'dollar', 'is', '`', '`', 'appropriate', '.', \"'\", \"'\", '[SEP]']\n",
+      "Filtered   (038): ['south', 'korean', 'president', 'ro', '##h', 'tae', 'woo', ',', 'brushing', 'aside', 'suggestions', 'that', 'the', 'won', 'be', 'rev', '##al', '##ue', '##d', 'again', ',', 'said', 'the', 'currency', \"'\", 's', 'current', 'level', 'against', 'the', 'dollar', 'is', '`', '`', 'appropriate', '.', \"'\", \"'\"]\n",
+      "Detokenized (031): ['south', 'korean', 'president', 'ro##h', 'tae', 'woo', ',', 'brushing', 'aside', 'suggestions', 'that', 'the', 'won', 'be', 'rev##al##ue##d', 'again', ',', 'said', 'the', 'currency', \"'s\", 'current', 'level', 'against', 'the', 'dollar', 'is', '``', 'appropriate', '.', \"''\"]\n",
+      "Counter: 38\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 31, 768)\n",
+      "# Extracted words:  31\n",
+      "Sentence         : \"His comments , made in response to reporters ' questions at the National Press Club here , signaled that Seoul is resisting U.S. pressure for a further rise in the currency 's value .\"\n",
+      "Original    (034): ['His', 'comments', ',', 'made', 'in', 'response', 'to', 'reporters', \"'\", 'questions', 'at', 'the', 'National', 'Press', 'Club', 'here', ',', 'signaled', 'that', 'Seoul', 'is', 'resisting', 'U.S.', 'pressure', 'for', 'a', 'further', 'rise', 'in', 'the', 'currency', \"'s\", 'value', '.']\n",
+      "Tokenized   (040): ['[CLS]', 'his', 'comments', ',', 'made', 'in', 'response', 'to', 'reporters', \"'\", 'questions', 'at', 'the', 'national', 'press', 'club', 'here', ',', 'signaled', 'that', 'seoul', 'is', 'resisting', 'u', '.', 's', '.', 'pressure', 'for', 'a', 'further', 'rise', 'in', 'the', 'currency', \"'\", 's', 'value', '.', '[SEP]']\n",
+      "Filtered   (038): ['his', 'comments', ',', 'made', 'in', 'response', 'to', 'reporters', \"'\", 'questions', 'at', 'the', 'national', 'press', 'club', 'here', ',', 'signaled', 'that', 'seoul', 'is', 'resisting', 'u', '.', 's', '.', 'pressure', 'for', 'a', 'further', 'rise', 'in', 'the', 'currency', \"'\", 's', 'value', '.']\n",
+      "Detokenized (034): ['his', 'comments', ',', 'made', 'in', 'response', 'to', 'reporters', \"'\", 'questions', 'at', 'the', 'national', 'press', 'club', 'here', ',', 'signaled', 'that', 'seoul', 'is', 'resisting', 'u.s.', 'pressure', 'for', 'a', 'further', 'rise', 'in', 'the', 'currency', \"'s\", 'value', '.']\n",
+      "Counter: 38\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 34, 768)\n",
+      "# Extracted words:  34\n",
+      "Sentence         : \"The U.S. wants a higher won to make South Korea 's exports more expensive and help trim Seoul 's trade surplus .\"\n",
+      "Original    (022): ['The', 'U.S.', 'wants', 'a', 'higher', 'won', 'to', 'make', 'South', 'Korea', \"'s\", 'exports', 'more', 'expensive', 'and', 'help', 'trim', 'Seoul', \"'s\", 'trade', 'surplus', '.']\n",
+      "Tokenized   (029): ['[CLS]', 'the', 'u', '.', 's', '.', 'wants', 'a', 'higher', 'won', 'to', 'make', 'south', 'korea', \"'\", 's', 'exports', 'more', 'expensive', 'and', 'help', 'trim', 'seoul', \"'\", 's', 'trade', 'surplus', '.', '[SEP]']\n",
+      "Filtered   (027): ['the', 'u', '.', 's', '.', 'wants', 'a', 'higher', 'won', 'to', 'make', 'south', 'korea', \"'\", 's', 'exports', 'more', 'expensive', 'and', 'help', 'trim', 'seoul', \"'\", 's', 'trade', 'surplus', '.']\n",
+      "Detokenized (022): ['the', 'u.s.', 'wants', 'a', 'higher', 'won', 'to', 'make', 'south', 'korea', \"'s\", 'exports', 'more', 'expensive', 'and', 'help', 'trim', 'seoul', \"'s\", 'trade', 'surplus', '.']\n",
+      "Counter: 27\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 22, 768)\n",
+      "# Extracted words:  22\n"
+     ]
+    }
+   ],
+   "source": [
+    "# extract activations for the dev sentences \n",
+    "transformers_extractor.extract_representations('bert-base-uncased',\n",
+    "    dev_sentences,\n",
+    "    'dev_activations.json',\n",
+    "    aggregation=\"average\" #last, first\n",
+    ")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "id": "47046c6a",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Loading model: bert-base-uncased\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "Some weights of the model checkpoint at bert-base-uncased were not used when initializing BertModel: ['cls.predictions.transform.LayerNorm.weight', 'cls.seq_relationship.weight', 'cls.predictions.transform.LayerNorm.bias', 'cls.predictions.bias', 'cls.predictions.transform.dense.weight', 'cls.seq_relationship.bias', 'cls.predictions.decoder.weight', 'cls.predictions.transform.dense.bias']\n",
+      "- This IS expected if you are initializing BertModel from the checkpoint of a model trained on another task or with another architecture (e.g. initializing a BertForSequenceClassification model from a BertForPreTraining model).\n",
+      "- This IS NOT expected if you are initializing BertModel from the checkpoint of a model that you expect to be exactly identical (initializing a BertForSequenceClassification model from a BertForSequenceClassification model).\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Reading input corpus\n",
+      "Preparing output file\n",
+      "Extracting representations from model\n",
+      "Sentence         : \"Rockwell International Corp. 's Tulsa unit said it signed a tentative agreement extending its contract with Boeing Co. to provide structural parts for Boeing 's 747 jetliners .\"\n",
+      "Original    (028): ['Rockwell', 'International', 'Corp.', \"'s\", 'Tulsa', 'unit', 'said', 'it', 'signed', 'a', 'tentative', 'agreement', 'extending', 'its', 'contract', 'with', 'Boeing', 'Co.', 'to', 'provide', 'structural', 'parts', 'for', 'Boeing', \"'s\", '747', 'jetliners', '.']\n",
+      "Tokenized   (036): ['[CLS]', 'rockwell', 'international', 'corp', '.', \"'\", 's', 'tulsa', 'unit', 'said', 'it', 'signed', 'a', 'tentative', 'agreement', 'extending', 'its', 'contract', 'with', 'boeing', 'co', '.', 'to', 'provide', 'structural', 'parts', 'for', 'boeing', \"'\", 's', '747', 'jet', '##liner', '##s', '.', '[SEP]']\n",
+      "Filtered   (034): ['rockwell', 'international', 'corp', '.', \"'\", 's', 'tulsa', 'unit', 'said', 'it', 'signed', 'a', 'tentative', 'agreement', 'extending', 'its', 'contract', 'with', 'boeing', 'co', '.', 'to', 'provide', 'structural', 'parts', 'for', 'boeing', \"'\", 's', '747', 'jet', '##liner', '##s', '.']\n",
+      "Detokenized (028): ['rockwell', 'international', 'corp.', \"'s\", 'tulsa', 'unit', 'said', 'it', 'signed', 'a', 'tentative', 'agreement', 'extending', 'its', 'contract', 'with', 'boeing', 'co.', 'to', 'provide', 'structural', 'parts', 'for', 'boeing', \"'s\", '747', 'jet##liner##s', '.']\n",
+      "Counter: 34\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 28, 768)\n",
+      "# Extracted words:  28\n",
+      "Sentence         : \"Rockwell said the agreement calls for it to supply 200 additional so-called shipsets for the planes .\"\n",
+      "Original    (017): ['Rockwell', 'said', 'the', 'agreement', 'calls', 'for', 'it', 'to', 'supply', '200', 'additional', 'so-called', 'shipsets', 'for', 'the', 'planes', '.']\n",
+      "Tokenized   (022): ['[CLS]', 'rockwell', 'said', 'the', 'agreement', 'calls', 'for', 'it', 'to', 'supply', '200', 'additional', 'so', '-', 'called', 'ships', '##ets', 'for', 'the', 'planes', '.', '[SEP]']\n",
+      "Filtered   (020): ['rockwell', 'said', 'the', 'agreement', 'calls', 'for', 'it', 'to', 'supply', '200', 'additional', 'so', '-', 'called', 'ships', '##ets', 'for', 'the', 'planes', '.']\n",
+      "Detokenized (017): ['rockwell', 'said', 'the', 'agreement', 'calls', 'for', 'it', 'to', 'supply', '200', 'additional', 'so-called', 'ships##ets', 'for', 'the', 'planes', '.']\n",
+      "Counter: 20\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 17, 768)\n",
+      "# Extracted words:  17\n",
+      "Sentence         : \"These include , among other parts , each jetliner 's two major bulkheads , a pressure floor , torque box , fixed leading edges for the wings and an aft keel beam .\"\n",
+      "Original    (033): ['These', 'include', ',', 'among', 'other', 'parts', ',', 'each', 'jetliner', \"'s\", 'two', 'major', 'bulkheads', ',', 'a', 'pressure', 'floor', ',', 'torque', 'box', ',', 'fixed', 'leading', 'edges', 'for', 'the', 'wings', 'and', 'an', 'aft', 'keel', 'beam', '.']\n",
+      "Tokenized   (038): ['[CLS]', 'these', 'include', ',', 'among', 'other', 'parts', ',', 'each', 'jet', '##liner', \"'\", 's', 'two', 'major', 'bulk', '##heads', ',', 'a', 'pressure', 'floor', ',', 'torque', 'box', ',', 'fixed', 'leading', 'edges', 'for', 'the', 'wings', 'and', 'an', 'aft', 'keel', 'beam', '.', '[SEP]']\n",
+      "Filtered   (036): ['these', 'include', ',', 'among', 'other', 'parts', ',', 'each', 'jet', '##liner', \"'\", 's', 'two', 'major', 'bulk', '##heads', ',', 'a', 'pressure', 'floor', ',', 'torque', 'box', ',', 'fixed', 'leading', 'edges', 'for', 'the', 'wings', 'and', 'an', 'aft', 'keel', 'beam', '.']\n",
+      "Detokenized (033): ['these', 'include', ',', 'among', 'other', 'parts', ',', 'each', 'jet##liner', \"'s\", 'two', 'major', 'bulk##heads', ',', 'a', 'pressure', 'floor', ',', 'torque', 'box', ',', 'fixed', 'leading', 'edges', 'for', 'the', 'wings', 'and', 'an', 'aft', 'keel', 'beam', '.']\n",
+      "Counter: 36\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 33, 768)\n",
+      "# Extracted words:  33\n",
+      "Sentence         : \"Under the existing contract , Rockwell said , it has already delivered 793 of the shipsets to Boeing .\"\n",
+      "Original    (019): ['Under', 'the', 'existing', 'contract', ',', 'Rockwell', 'said', ',', 'it', 'has', 'already', 'delivered', '793', 'of', 'the', 'shipsets', 'to', 'Boeing', '.']\n",
+      "Tokenized   (023): ['[CLS]', 'under', 'the', 'existing', 'contract', ',', 'rockwell', 'said', ',', 'it', 'has', 'already', 'delivered', '79', '##3', 'of', 'the', 'ships', '##ets', 'to', 'boeing', '.', '[SEP]']\n",
+      "Filtered   (021): ['under', 'the', 'existing', 'contract', ',', 'rockwell', 'said', ',', 'it', 'has', 'already', 'delivered', '79', '##3', 'of', 'the', 'ships', '##ets', 'to', 'boeing', '.']\n",
+      "Detokenized (019): ['under', 'the', 'existing', 'contract', ',', 'rockwell', 'said', ',', 'it', 'has', 'already', 'delivered', '79##3', 'of', 'the', 'ships##ets', 'to', 'boeing', '.']\n",
+      "Counter: 21\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 19, 768)\n",
+      "# Extracted words:  19\n",
+      "Sentence         : \"Rockwell , based in El Segundo , Calif. , is an aerospace , electronics , automotive and graphics concern .\"\n",
+      "Original    (020): ['Rockwell', ',', 'based', 'in', 'El', 'Segundo', ',', 'Calif.', ',', 'is', 'an', 'aerospace', ',', 'electronics', ',', 'automotive', 'and', 'graphics', 'concern', '.']\n",
+      "Tokenized   (026): ['[CLS]', 'rockwell', ',', 'based', 'in', 'el', 'se', '##gun', '##do', ',', 'cal', '##if', '.', ',', 'is', 'an', 'aerospace', ',', 'electronics', ',', 'automotive', 'and', 'graphics', 'concern', '.', '[SEP]']\n",
+      "Filtered   (024): ['rockwell', ',', 'based', 'in', 'el', 'se', '##gun', '##do', ',', 'cal', '##if', '.', ',', 'is', 'an', 'aerospace', ',', 'electronics', ',', 'automotive', 'and', 'graphics', 'concern', '.']\n",
+      "Detokenized (020): ['rockwell', ',', 'based', 'in', 'el', 'se##gun##do', ',', 'cal##if.', ',', 'is', 'an', 'aerospace', ',', 'electronics', ',', 'automotive', 'and', 'graphics', 'concern', '.']\n",
+      "Counter: 24\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 20, 768)\n",
+      "# Extracted words:  20\n",
+      "Sentence         : \"Frank Carlucci III was named to this telecommunications company 's board , filling the vacancy created by the death of William Sobey last May .\"\n",
+      "Original    (025): ['Frank', 'Carlucci', 'III', 'was', 'named', 'to', 'this', 'telecommunications', 'company', \"'s\", 'board', ',', 'filling', 'the', 'vacancy', 'created', 'by', 'the', 'death', 'of', 'William', 'Sobey', 'last', 'May', '.']\n",
+      "Tokenized   (030): ['[CLS]', 'frank', 'carl', '##ucci', 'iii', 'was', 'named', 'to', 'this', 'telecommunications', 'company', \"'\", 's', 'board', ',', 'filling', 'the', 'vacancy', 'created', 'by', 'the', 'death', 'of', 'william', 'sob', '##ey', 'last', 'may', '.', '[SEP]']\n",
+      "Filtered   (028): ['frank', 'carl', '##ucci', 'iii', 'was', 'named', 'to', 'this', 'telecommunications', 'company', \"'\", 's', 'board', ',', 'filling', 'the', 'vacancy', 'created', 'by', 'the', 'death', 'of', 'william', 'sob', '##ey', 'last', 'may', '.']\n",
+      "Detokenized (025): ['frank', 'carl##ucci', 'iii', 'was', 'named', 'to', 'this', 'telecommunications', 'company', \"'s\", 'board', ',', 'filling', 'the', 'vacancy', 'created', 'by', 'the', 'death', 'of', 'william', 'sob##ey', 'last', 'may', '.']\n",
+      "Counter: 28\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 25, 768)\n",
+      "# Extracted words:  25\n",
+      "Sentence         : \"Mr. Carlucci , 59 years old , served as defense secretary in the Reagan administration .\"\n",
+      "Original    (016): ['Mr.', 'Carlucci', ',', '59', 'years', 'old', ',', 'served', 'as', 'defense', 'secretary', 'in', 'the', 'Reagan', 'administration', '.']\n",
+      "Tokenized   (020): ['[CLS]', 'mr', '.', 'carl', '##ucci', ',', '59', 'years', 'old', ',', 'served', 'as', 'defense', 'secretary', 'in', 'the', 'reagan', 'administration', '.', '[SEP]']\n",
+      "Filtered   (018): ['mr', '.', 'carl', '##ucci', ',', '59', 'years', 'old', ',', 'served', 'as', 'defense', 'secretary', 'in', 'the', 'reagan', 'administration', '.']\n",
+      "Detokenized (016): ['mr.', 'carl##ucci', ',', '59', 'years', 'old', ',', 'served', 'as', 'defense', 'secretary', 'in', 'the', 'reagan', 'administration', '.']\n",
+      "Counter: 18\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 16, 768)\n",
+      "# Extracted words:  16\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Sentence         : \"In January , he accepted the position of vice chairman of Carlyle Group , a merchant banking concern .\"\n",
+      "Original    (019): ['In', 'January', ',', 'he', 'accepted', 'the', 'position', 'of', 'vice', 'chairman', 'of', 'Carlyle', 'Group', ',', 'a', 'merchant', 'banking', 'concern', '.']\n",
+      "Tokenized   (022): ['[CLS]', 'in', 'january', ',', 'he', 'accepted', 'the', 'position', 'of', 'vice', 'chairman', 'of', 'carly', '##le', 'group', ',', 'a', 'merchant', 'banking', 'concern', '.', '[SEP]']\n",
+      "Filtered   (020): ['in', 'january', ',', 'he', 'accepted', 'the', 'position', 'of', 'vice', 'chairman', 'of', 'carly', '##le', 'group', ',', 'a', 'merchant', 'banking', 'concern', '.']\n",
+      "Detokenized (019): ['in', 'january', ',', 'he', 'accepted', 'the', 'position', 'of', 'vice', 'chairman', 'of', 'carly##le', 'group', ',', 'a', 'merchant', 'banking', 'concern', '.']\n",
+      "Counter: 20\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 19, 768)\n",
+      "# Extracted words:  19\n",
+      "Sentence         : \"SHEARSON LEHMAN HUTTON Inc .\"\n",
+      "Original    (005): ['SHEARSON', 'LEHMAN', 'HUTTON', 'Inc', '.']\n",
+      "Tokenized   (008): ['[CLS]', 'shear', '##son', 'lehman', 'hutton', 'inc', '.', '[SEP]']\n",
+      "Filtered   (006): ['shear', '##son', 'lehman', 'hutton', 'inc', '.']\n",
+      "Detokenized (005): ['shear##son', 'lehman', 'hutton', 'inc', '.']\n",
+      "Counter: 6\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 5, 768)\n",
+      "# Extracted words:  5\n",
+      "Sentence         : \"Thomas E. Meador , 42 years old , was named president and chief operating officer of Balcor Co. , a Skokie , Ill. , subsidiary of this New York investment banking firm .\"\n",
+      "Original    (033): ['Thomas', 'E.', 'Meador', ',', '42', 'years', 'old', ',', 'was', 'named', 'president', 'and', 'chief', 'operating', 'officer', 'of', 'Balcor', 'Co.', ',', 'a', 'Skokie', ',', 'Ill.', ',', 'subsidiary', 'of', 'this', 'New', 'York', 'investment', 'banking', 'firm', '.']\n",
+      "Tokenized   (042): ['[CLS]', 'thomas', 'e', '.', 'mead', '##or', ',', '42', 'years', 'old', ',', 'was', 'named', 'president', 'and', 'chief', 'operating', 'officer', 'of', 'bal', '##cor', 'co', '.', ',', 'a', 'sk', '##oki', '##e', ',', 'ill', '.', ',', 'subsidiary', 'of', 'this', 'new', 'york', 'investment', 'banking', 'firm', '.', '[SEP]']\n",
+      "Filtered   (040): ['thomas', 'e', '.', 'mead', '##or', ',', '42', 'years', 'old', ',', 'was', 'named', 'president', 'and', 'chief', 'operating', 'officer', 'of', 'bal', '##cor', 'co', '.', ',', 'a', 'sk', '##oki', '##e', ',', 'ill', '.', ',', 'subsidiary', 'of', 'this', 'new', 'york', 'investment', 'banking', 'firm', '.']\n",
+      "Detokenized (033): ['thomas', 'e.', 'mead##or', ',', '42', 'years', 'old', ',', 'was', 'named', 'president', 'and', 'chief', 'operating', 'officer', 'of', 'bal##cor', 'co.', ',', 'a', 'sk##oki##e', ',', 'ill.', ',', 'subsidiary', 'of', 'this', 'new', 'york', 'investment', 'banking', 'firm', '.']\n",
+      "Counter: 40\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 33, 768)\n",
+      "# Extracted words:  33\n"
+     ]
+    }
+   ],
+   "source": [
+    "# extract activations for the test sentences \n",
+    "transformers_extractor.extract_representations('bert-base-uncased',\n",
+    "    test_sentences,\n",
+    "    'test_activations.json',\n",
+    "    aggregation=\"average\" #last, first\n",
+    ")"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "702a5702",
+   "metadata": {},
+   "source": [
+    "# Train Linear Probe "
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "id": "78d4ea2c",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Loading json activations from train_activations.json...\n",
+      "10 13.0\n"
+     ]
+    }
+   ],
+   "source": [
+    "# add code for training a probe here\n",
+    "activations, num_layers = data_loader.load_activations('train_activations.json', 768)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 9,
+   "id": "fa99bd9e",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "tokens = data_loader.load_data(train_sentences, train_labels, activations, 512)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "id": "a59d9603",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Number of tokens:  224\n",
+      "length of source dictionary:  142\n",
+      "length of target dictionary:  29\n",
+      "224\n",
+      "Total instances: 224\n",
+      "['cigarette', 'new', 'ago', 'to', 'forum', 'that', 'symptoms', 'with', 'properties', 'findings', 'used', 'causing', \"'re\", 'later', 'year', 'board', 'industrial', 'Elsevier', 'cigarettes', 'among']\n",
+      "Number of samples:  224\n",
+      "Stats: Labels with their frequencies in the final set\n",
+      "VB 3\n",
+      "PRP 4\n",
+      "NNS 19\n",
+      "'' 1\n",
+      "CC 1\n",
+      "NN 30\n",
+      "VBZ 7\n",
+      "CD 5\n",
+      "JJS 1\n",
+      "JJ 18\n",
+      "VBP 3\n",
+      "RP 1\n",
+      "TO 5\n",
+      ", 15\n",
+      "MD 1\n",
+      "DT 20\n",
+      "NNP 25\n",
+      "RBR 2\n",
+      "POS 1\n",
+      "`` 1\n",
+      "VBG 5\n",
+      "IN 25\n",
+      "VBD 7\n",
+      "EX 1\n",
+      "RB 4\n",
+      "WDT 2\n",
+      "VBN 5\n",
+      ". 10\n",
+      "PRP$ 2\n"
+     ]
+    }
+   ],
+   "source": [
+    "X, y, mapping = utils.create_tensors(tokens, activations, 'NN')\n",
+    "label2idx, idx2label, src2idx, idx2src = mapping"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "id": "ed9c2249",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "layer = 4\n",
+    "layer_X = ablation.filter_activations_by_layers(X, [layer], 13)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 12,
+   "id": "8605a6ab",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Training classification probe\n",
+      "Creating model...\n",
+      "Number of training instances: 224\n",
+      "Number of classes: 29\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
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+       "prefix": "epoch [1/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "b37ae81dce67449f9fc423b311c6e257",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [1/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [1/10], Loss: 0.1105\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
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+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "4f545749c9bb4ffd969341d8d4c52bd0",
+       "version_major": 2,
+       "version_minor": 0
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+      "text/plain": [
+       "epoch [2/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [2/10], Loss: 0.0812\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
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+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "d264d41335a54a4d9abeedfac8d3b337",
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+      "text/plain": [
+       "epoch [3/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [3/10], Loss: 0.0609\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
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+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [4/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "cf54ff5aa494474888e36da141b06d81",
+       "version_major": 2,
+       "version_minor": 0
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+      "text/plain": [
+       "epoch [4/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [4/10], Loss: 0.0468\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
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+       "prefix": "epoch [5/10]",
+       "rate": null,
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+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
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+      "text/plain": [
+       "epoch [5/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [5/10], Loss: 0.0374\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
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+       "prefix": "epoch [6/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "393e832e380c41e6b430df706964f4f5",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [6/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [6/10], Loss: 0.0312\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
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+       "prefix": "epoch [7/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "5193444578984117afc3eaf942b6d45b",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [7/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [7/10], Loss: 0.0270\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
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+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [8/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "100ba0495b3d425a889f7337ce07285b",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [8/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [8/10], Loss: 0.0243\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.0038013458251953125,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [9/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "388e7a6070fd4e0c80a0769af6f9d541",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [9/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [9/10], Loss: 0.0224\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.0036902427673339844,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [10/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "f130cadf861e4b4883ff568f0bfa25ac",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [10/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [10/10], Loss: 0.0210\n"
+     ]
+    }
+   ],
+   "source": [
+    "probe = linear_probe.train_logistic_regression_probe(layer_X, y, lambda_l1=0.001, lambda_l2=0.001)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "882dc18a",
+   "metadata": {},
+   "source": [
+    "# Evaluate Linear Probe"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "44a03aba",
+   "metadata": {},
+   "source": [
+    "## Evaluate On Dev data"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "id": "3a5f5781",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Loading json activations from dev_activations.json...\n",
+      "10 13.0\n",
+      "Number of tokens:  261\n",
+      "length of source dictionary:  158\n",
+      "length of target dictionary:  26\n",
+      "261\n",
+      "Total instances: 261\n",
+      "['again', 'trading', 'common', 'signaled', 'spokesman', 'questions', '25', 'dividend', 'to', 'Exchange', 'that', 'Woo', 'stock', 'with', 'added', 'had', 'calls', 'cents', 'increases', 'trim']\n",
+      "Number of samples:  261\n",
+      "Stats: Labels with their frequencies in the final set\n",
+      "VB 4\n",
+      "PDT 1\n",
+      "NNS 10\n",
+      "'' 1\n",
+      "CC 5\n",
+      "NN 49\n",
+      "VBZ 5\n",
+      "CD 11\n",
+      "JJR 3\n",
+      "JJ 14\n",
+      "RP 1\n",
+      "TO 2\n",
+      ", 11\n",
+      "DT 30\n",
+      "$ 4\n",
+      "NNP 34\n",
+      "RBR 1\n",
+      "POS 6\n",
+      "`` 2\n",
+      "VBG 4\n",
+      "VBD 9\n",
+      "IN 27\n",
+      "RB 6\n",
+      "VBN 9\n",
+      ". 10\n",
+      "PRP$ 2\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.0039942264556884766,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "Evaluating",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "c06cfb18c8e047b0ad5e3781fda3395a",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "Evaluating: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Score (accuracy) of the probe: 0.37\n"
+     ]
+    },
+    {
+     "data": {
+      "text/plain": [
+       "{'__OVERALL__': 0.367816091954023}"
+      ]
+     },
+     "execution_count": 13,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "activations, num_layers = data_loader.load_activations('dev_activations.json', 768)\n",
+    "tokens = data_loader.load_data(dev_sentences, dev_labels, activations, 512)\n",
+    "X_dev, y_dev, mapping = utils.create_tensors(tokens, activations, 'NN')\n",
+    "# ablate the activations to the same layer\n",
+    "layer_X_dev = ablation.filter_activations_by_layers(X_dev, [layer], 13)\n",
+    "scores = linear_probe.evaluate_probe(probe, layer_X_dev, y_dev)\n",
+    "scores"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "a0a6446d",
+   "metadata": {},
+   "source": [
+    "## Evaluate On Test Data"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 14,
+   "id": "0587b407",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Loading json activations from test_activations.json...\n",
+      "10 13.0\n",
+      "Number of tokens:  215\n",
+      "length of source dictionary:  134\n",
+      "length of target dictionary:  21\n",
+      "215\n",
+      "Total instances: 215\n",
+      "['supply', 'telecommunications', 'existing', 'jetliners', 'tentative', 'to', 'each', 'already', 'filling', 'LEHMAN', 'with', 'signed', 'calls', 'board', 'based', 'among', ',', 'Group', 'York', '59']\n",
+      "Number of samples:  215\n",
+      "Stats: Labels with their frequencies in the final set\n",
+      "VB 2\n",
+      "PRP 4\n",
+      "NNS 14\n",
+      "CC 3\n",
+      "NN 34\n",
+      "VBZ 3\n",
+      "CD 6\n",
+      "JJ 11\n",
+      "VBP 1\n",
+      "TO 4\n",
+      ", 22\n",
+      "DT 19\n",
+      "NNP 39\n",
+      "POS 4\n",
+      "VBG 5\n",
+      "VBD 8\n",
+      "IN 18\n",
+      "RB 1\n",
+      "VBN 6\n",
+      ". 10\n",
+      "PRP$ 1\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.003784656524658203,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "Evaluating",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "105b3460b8924fb5971b4988f47b035e",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "Evaluating: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Score (accuracy) of the probe: 0.07\n"
+     ]
+    },
+    {
+     "data": {
+      "text/plain": [
+       "{'__OVERALL__': 0.06511627906976744}"
+      ]
+     },
+     "execution_count": 14,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "activations, num_layers = data_loader.load_activations('test_activations.json', 768)\n",
+    "tokens = data_loader.load_data(test_sentences, test_labels, activations, 512)\n",
+    "X_test, y_test, mapping = utils.create_tensors(tokens, activations, 'NN')\n",
+    "# ablate the activations to the same layer\n",
+    "layer_X_test = ablation.filter_activations_by_layers(X_test, [layer], 13)\n",
+    "scores = linear_probe.evaluate_probe(probe, layer_X_test, y_test)\n",
+    "scores"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "de59e562",
+   "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": "3.9.12"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/tutorials/Neuron Analysis.ipynb b/tutorials/Neuron Analysis.ipynb
new file mode 100644
index 0000000..9b0e65f
--- /dev/null
+++ b/tutorials/Neuron Analysis.ipynb	
@@ -0,0 +1,1070 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "id": "ea2d8aed",
+   "metadata": {},
+   "source": [
+    "# Imports"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "id": "729e6978",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import neurox.data.extraction.transformers_extractor as transformers_extractor\n",
+    "import neurox.data.loader as data_loader\n",
+    "import neurox.interpretation.utils as utils\n",
+    "import neurox.interpretation.linear_probe as linear_probe"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "6e3d731f",
+   "metadata": {},
+   "source": [
+    "# Data "
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "id": "d07d1449",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# define paths to your word and label files \n",
+    "train_sentences = \"data/pos_train.word\"\n",
+    "train_labels = \"data/pos_train.label\"\n",
+    "dev_sentences = \"data/pos_dev.word\"\n",
+    "dev_labels = \"data/pos_dev.label\" \n",
+    "test_sentences = \"data/pos_test.word\"\n",
+    "test_labels = \"data/pos_test.label\""
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "id": "23f6edba",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Pierre Vinken , 61 years old , will join the board as a nonexecutive director Nov. 29 .\r\n",
+      "Mr. Vinken is chairman of Elsevier N.V. , the Dutch publishing group .\r\n",
+      "Rudolph Agnew , 55 years old and former chairman of Consolidated Gold Fields PLC , was named a nonexecutive director of this British industrial conglomerate .\r\n",
+      "A form of asbestos once used to make Kent cigarette filters has caused a high percentage of cancer deaths among a group of workers exposed to it more than 30 years ago , researchers reported .\r\n",
+      "The asbestos fiber , crocidolite , is unusually resilient once it enters the lungs , with even brief exposures to it causing symptoms that show up decades later , researchers said .\r\n",
+      "Lorillard Inc. , the unit of New York-based Loews Corp. that makes Kent cigarettes , stopped using crocidolite in its Micronite cigarette filters in 1956 .\r\n",
+      "Although preliminary findings were reported more than a year ago , the latest results appear in today 's New England Journal of Medicine , a forum likely to bring new attention to the problem .\r\n",
+      "A Lorillard spokewoman said , `` This is an old story .\r\n",
+      "We 're talking about years ago before anyone heard of asbestos having any questionable properties .\r\n",
+      "There is no asbestos in our products now . ''\r\n"
+     ]
+    }
+   ],
+   "source": [
+    "!cat \"data/pos_train.word\""
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "id": "9583d8e9",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "NNP NNP , CD NNS JJ , MD VB DT NN IN DT JJ NN NNP CD .\r\n",
+      "NNP NNP VBZ NN IN NNP NNP , DT NNP VBG NN .\r\n",
+      "NNP NNP , CD NNS JJ CC JJ NN IN NNP NNP NNP NNP , VBD VBN DT JJ NN IN DT JJ JJ NN .\r\n",
+      "DT NN IN NN RB VBN TO VB NNP NN NNS VBZ VBN DT JJ NN IN NN NNS IN DT NN IN NNS VBN TO PRP RBR IN CD NNS IN , NNS VBD .\r\n",
+      "DT NN NN , NN , VBZ RB JJ IN PRP VBZ DT NNS , IN RB JJ NNS TO PRP VBG NNS WDT VBP RP NNS JJ , NNS VBD .\r\n",
+      "NNP NNP , DT NN IN JJ JJ NNP NNP WDT VBZ NNP NNS , VBD VBG NN IN PRP$ NN NN NNS IN CD .\r\n",
+      "IN JJ NNS VBD VBN RBR IN DT NN IN , DT JJS NNS VBP IN NN POS NNP NNP NNP IN NNP , DT NN JJ TO VB JJ NN TO DT NN .\r\n",
+      "DT NNP NN VBD , `` DT VBZ DT JJ NN .\r\n",
+      "PRP VBP VBG IN NNS IN IN NN VBD IN NN VBG DT JJ NNS .\r\n",
+      "EX VBZ DT NN IN PRP$ NNS RB . ''\r\n"
+     ]
+    }
+   ],
+   "source": [
+    "!cat \"data/pos_train.label\""
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "78095090",
+   "metadata": {},
+   "source": [
+    "# Extract Representations"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "id": "32b11f52",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Loading model: bert-base-uncased\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "Some weights of the model checkpoint at bert-base-uncased were not used when initializing BertModel: ['cls.predictions.bias', 'cls.predictions.transform.dense.bias', 'cls.seq_relationship.weight', 'cls.predictions.transform.LayerNorm.bias', 'cls.predictions.transform.dense.weight', 'cls.predictions.decoder.weight', 'cls.seq_relationship.bias', 'cls.predictions.transform.LayerNorm.weight']\n",
+      "- This IS expected if you are initializing BertModel from the checkpoint of a model trained on another task or with another architecture (e.g. initializing a BertForSequenceClassification model from a BertForPreTraining model).\n",
+      "- This IS NOT expected if you are initializing BertModel from the checkpoint of a model that you expect to be exactly identical (initializing a BertForSequenceClassification model from a BertForSequenceClassification model).\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Reading input corpus\n",
+      "Preparing output file\n",
+      "Extracting representations from model\n",
+      "Sentence         : \"Pierre Vinken , 61 years old , will join the board as a nonexecutive director Nov. 29 .\"\n",
+      "Original    (018): ['Pierre', 'Vinken', ',', '61', 'years', 'old', ',', 'will', 'join', 'the', 'board', 'as', 'a', 'nonexecutive', 'director', 'Nov.', '29', '.']\n",
+      "Tokenized   (025): ['[CLS]', 'pierre', 'vin', '##ken', ',', '61', 'years', 'old', ',', 'will', 'join', 'the', 'board', 'as', 'a', 'none', '##x', '##ec', '##utive', 'director', 'nov', '.', '29', '.', '[SEP]']\n",
+      "Filtered   (023): ['pierre', 'vin', '##ken', ',', '61', 'years', 'old', ',', 'will', 'join', 'the', 'board', 'as', 'a', 'none', '##x', '##ec', '##utive', 'director', 'nov', '.', '29', '.']\n",
+      "Detokenized (018): ['pierre', 'vin##ken', ',', '61', 'years', 'old', ',', 'will', 'join', 'the', 'board', 'as', 'a', 'none##x##ec##utive', 'director', 'nov.', '29', '.']\n",
+      "Counter: 23\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 18, 768)\n",
+      "# Extracted words:  18\n",
+      "Sentence         : \"Mr. Vinken is chairman of Elsevier N.V. , the Dutch publishing group .\"\n",
+      "Original    (013): ['Mr.', 'Vinken', 'is', 'chairman', 'of', 'Elsevier', 'N.V.', ',', 'the', 'Dutch', 'publishing', 'group', '.']\n",
+      "Tokenized   (021): ['[CLS]', 'mr', '.', 'vin', '##ken', 'is', 'chairman', 'of', 'else', '##vier', 'n', '.', 'v', '.', ',', 'the', 'dutch', 'publishing', 'group', '.', '[SEP]']\n",
+      "Filtered   (019): ['mr', '.', 'vin', '##ken', 'is', 'chairman', 'of', 'else', '##vier', 'n', '.', 'v', '.', ',', 'the', 'dutch', 'publishing', 'group', '.']\n",
+      "Detokenized (013): ['mr.', 'vin##ken', 'is', 'chairman', 'of', 'else##vier', 'n.v.', ',', 'the', 'dutch', 'publishing', 'group', '.']\n",
+      "Counter: 19\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 13, 768)\n",
+      "# Extracted words:  13\n",
+      "Sentence         : \"Rudolph Agnew , 55 years old and former chairman of Consolidated Gold Fields PLC , was named a nonexecutive director of this British industrial conglomerate .\"\n",
+      "Original    (026): ['Rudolph', 'Agnew', ',', '55', 'years', 'old', 'and', 'former', 'chairman', 'of', 'Consolidated', 'Gold', 'Fields', 'PLC', ',', 'was', 'named', 'a', 'nonexecutive', 'director', 'of', 'this', 'British', 'industrial', 'conglomerate', '.']\n",
+      "Tokenized   (033): ['[CLS]', 'rudolph', 'ag', '##ne', '##w', ',', '55', 'years', 'old', 'and', 'former', 'chairman', 'of', 'consolidated', 'gold', 'fields', 'plc', ',', 'was', 'named', 'a', 'none', '##x', '##ec', '##utive', 'director', 'of', 'this', 'british', 'industrial', 'conglomerate', '.', '[SEP]']\n",
+      "Filtered   (031): ['rudolph', 'ag', '##ne', '##w', ',', '55', 'years', 'old', 'and', 'former', 'chairman', 'of', 'consolidated', 'gold', 'fields', 'plc', ',', 'was', 'named', 'a', 'none', '##x', '##ec', '##utive', 'director', 'of', 'this', 'british', 'industrial', 'conglomerate', '.']\n",
+      "Detokenized (026): ['rudolph', 'ag##ne##w', ',', '55', 'years', 'old', 'and', 'former', 'chairman', 'of', 'consolidated', 'gold', 'fields', 'plc', ',', 'was', 'named', 'a', 'none##x##ec##utive', 'director', 'of', 'this', 'british', 'industrial', 'conglomerate', '.']\n",
+      "Counter: 31\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 26, 768)\n",
+      "# Extracted words:  26\n",
+      "Sentence         : \"A form of asbestos once used to make Kent cigarette filters has caused a high percentage of cancer deaths among a group of workers exposed to it more than 30 years ago , researchers reported .\"\n",
+      "Original    (036): ['A', 'form', 'of', 'asbestos', 'once', 'used', 'to', 'make', 'Kent', 'cigarette', 'filters', 'has', 'caused', 'a', 'high', 'percentage', 'of', 'cancer', 'deaths', 'among', 'a', 'group', 'of', 'workers', 'exposed', 'to', 'it', 'more', 'than', '30', 'years', 'ago', ',', 'researchers', 'reported', '.']\n",
+      "Tokenized   (038): ['[CLS]', 'a', 'form', 'of', 'asbestos', 'once', 'used', 'to', 'make', 'kent', 'cigarette', 'filters', 'has', 'caused', 'a', 'high', 'percentage', 'of', 'cancer', 'deaths', 'among', 'a', 'group', 'of', 'workers', 'exposed', 'to', 'it', 'more', 'than', '30', 'years', 'ago', ',', 'researchers', 'reported', '.', '[SEP]']\n",
+      "Filtered   (036): ['a', 'form', 'of', 'asbestos', 'once', 'used', 'to', 'make', 'kent', 'cigarette', 'filters', 'has', 'caused', 'a', 'high', 'percentage', 'of', 'cancer', 'deaths', 'among', 'a', 'group', 'of', 'workers', 'exposed', 'to', 'it', 'more', 'than', '30', 'years', 'ago', ',', 'researchers', 'reported', '.']\n",
+      "Detokenized (036): ['a', 'form', 'of', 'asbestos', 'once', 'used', 'to', 'make', 'kent', 'cigarette', 'filters', 'has', 'caused', 'a', 'high', 'percentage', 'of', 'cancer', 'deaths', 'among', 'a', 'group', 'of', 'workers', 'exposed', 'to', 'it', 'more', 'than', '30', 'years', 'ago', ',', 'researchers', 'reported', '.']\n",
+      "Counter: 36\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 36, 768)\n",
+      "# Extracted words:  36\n",
+      "Sentence         : \"The asbestos fiber , crocidolite , is unusually resilient once it enters the lungs , with even brief exposures to it causing symptoms that show up decades later , researchers said .\"\n",
+      "Original    (032): ['The', 'asbestos', 'fiber', ',', 'crocidolite', ',', 'is', 'unusually', 'resilient', 'once', 'it', 'enters', 'the', 'lungs', ',', 'with', 'even', 'brief', 'exposures', 'to', 'it', 'causing', 'symptoms', 'that', 'show', 'up', 'decades', 'later', ',', 'researchers', 'said', '.']\n",
+      "Tokenized   (040): ['[CLS]', 'the', 'asbestos', 'fiber', ',', 'cr', '##oc', '##ido', '##lite', ',', 'is', 'unusually', 'res', '##ili', '##ent', 'once', 'it', 'enters', 'the', 'lungs', ',', 'with', 'even', 'brief', 'exposure', '##s', 'to', 'it', 'causing', 'symptoms', 'that', 'show', 'up', 'decades', 'later', ',', 'researchers', 'said', '.', '[SEP]']\n",
+      "Filtered   (038): ['the', 'asbestos', 'fiber', ',', 'cr', '##oc', '##ido', '##lite', ',', 'is', 'unusually', 'res', '##ili', '##ent', 'once', 'it', 'enters', 'the', 'lungs', ',', 'with', 'even', 'brief', 'exposure', '##s', 'to', 'it', 'causing', 'symptoms', 'that', 'show', 'up', 'decades', 'later', ',', 'researchers', 'said', '.']\n",
+      "Detokenized (032): ['the', 'asbestos', 'fiber', ',', 'cr##oc##ido##lite', ',', 'is', 'unusually', 'res##ili##ent', 'once', 'it', 'enters', 'the', 'lungs', ',', 'with', 'even', 'brief', 'exposure##s', 'to', 'it', 'causing', 'symptoms', 'that', 'show', 'up', 'decades', 'later', ',', 'researchers', 'said', '.']\n",
+      "Counter: 38\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 32, 768)\n",
+      "# Extracted words:  32\n",
+      "Sentence         : \"Lorillard Inc. , the unit of New York-based Loews Corp. that makes Kent cigarettes , stopped using crocidolite in its Micronite cigarette filters in 1956 .\"\n",
+      "Original    (026): ['Lorillard', 'Inc.', ',', 'the', 'unit', 'of', 'New', 'York-based', 'Loews', 'Corp.', 'that', 'makes', 'Kent', 'cigarettes', ',', 'stopped', 'using', 'crocidolite', 'in', 'its', 'Micronite', 'cigarette', 'filters', 'in', '1956', '.']\n",
+      "Tokenized   (041): ['[CLS]', 'lori', '##llar', '##d', 'inc', '.', ',', 'the', 'unit', 'of', 'new', 'york', '-', 'based', 'lo', '##ew', '##s', 'corp', '.', 'that', 'makes', 'kent', 'cigarettes', ',', 'stopped', 'using', 'cr', '##oc', '##ido', '##lite', 'in', 'its', 'micro', '##ni', '##te', 'cigarette', 'filters', 'in', '1956', '.', '[SEP]']\n",
+      "Filtered   (039): ['lori', '##llar', '##d', 'inc', '.', ',', 'the', 'unit', 'of', 'new', 'york', '-', 'based', 'lo', '##ew', '##s', 'corp', '.', 'that', 'makes', 'kent', 'cigarettes', ',', 'stopped', 'using', 'cr', '##oc', '##ido', '##lite', 'in', 'its', 'micro', '##ni', '##te', 'cigarette', 'filters', 'in', '1956', '.']\n",
+      "Detokenized (026): ['lori##llar##d', 'inc.', ',', 'the', 'unit', 'of', 'new', 'york-based', 'lo##ew##s', 'corp.', 'that', 'makes', 'kent', 'cigarettes', ',', 'stopped', 'using', 'cr##oc##ido##lite', 'in', 'its', 'micro##ni##te', 'cigarette', 'filters', 'in', '1956', '.']\n",
+      "Counter: 39\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 26, 768)\n",
+      "# Extracted words:  26\n",
+      "Sentence         : \"Although preliminary findings were reported more than a year ago , the latest results appear in today 's New England Journal of Medicine , a forum likely to bring new attention to the problem .\"\n",
+      "Original    (035): ['Although', 'preliminary', 'findings', 'were', 'reported', 'more', 'than', 'a', 'year', 'ago', ',', 'the', 'latest', 'results', 'appear', 'in', 'today', \"'s\", 'New', 'England', 'Journal', 'of', 'Medicine', ',', 'a', 'forum', 'likely', 'to', 'bring', 'new', 'attention', 'to', 'the', 'problem', '.']\n",
+      "Tokenized   (038): ['[CLS]', 'although', 'preliminary', 'findings', 'were', 'reported', 'more', 'than', 'a', 'year', 'ago', ',', 'the', 'latest', 'results', 'appear', 'in', 'today', \"'\", 's', 'new', 'england', 'journal', 'of', 'medicine', ',', 'a', 'forum', 'likely', 'to', 'bring', 'new', 'attention', 'to', 'the', 'problem', '.', '[SEP]']\n",
+      "Filtered   (036): ['although', 'preliminary', 'findings', 'were', 'reported', 'more', 'than', 'a', 'year', 'ago', ',', 'the', 'latest', 'results', 'appear', 'in', 'today', \"'\", 's', 'new', 'england', 'journal', 'of', 'medicine', ',', 'a', 'forum', 'likely', 'to', 'bring', 'new', 'attention', 'to', 'the', 'problem', '.']\n",
+      "Detokenized (035): ['although', 'preliminary', 'findings', 'were', 'reported', 'more', 'than', 'a', 'year', 'ago', ',', 'the', 'latest', 'results', 'appear', 'in', 'today', \"'s\", 'new', 'england', 'journal', 'of', 'medicine', ',', 'a', 'forum', 'likely', 'to', 'bring', 'new', 'attention', 'to', 'the', 'problem', '.']\n",
+      "Counter: 36\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 35, 768)\n",
+      "# Extracted words:  35\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Sentence         : \"A Lorillard spokewoman said , `` This is an old story .\"\n",
+      "Original    (012): ['A', 'Lorillard', 'spokewoman', 'said', ',', '``', 'This', 'is', 'an', 'old', 'story', '.']\n",
+      "Tokenized   (018): ['[CLS]', 'a', 'lori', '##llar', '##d', 'spoke', '##woman', 'said', ',', '`', '`', 'this', 'is', 'an', 'old', 'story', '.', '[SEP]']\n",
+      "Filtered   (016): ['a', 'lori', '##llar', '##d', 'spoke', '##woman', 'said', ',', '`', '`', 'this', 'is', 'an', 'old', 'story', '.']\n",
+      "Detokenized (012): ['a', 'lori##llar##d', 'spoke##woman', 'said', ',', '``', 'this', 'is', 'an', 'old', 'story', '.']\n",
+      "Counter: 16\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 12, 768)\n",
+      "# Extracted words:  12\n",
+      "Sentence         : \"We 're talking about years ago before anyone heard of asbestos having any questionable properties .\"\n",
+      "Original    (016): ['We', \"'re\", 'talking', 'about', 'years', 'ago', 'before', 'anyone', 'heard', 'of', 'asbestos', 'having', 'any', 'questionable', 'properties', '.']\n",
+      "Tokenized   (019): ['[CLS]', 'we', \"'\", 're', 'talking', 'about', 'years', 'ago', 'before', 'anyone', 'heard', 'of', 'asbestos', 'having', 'any', 'questionable', 'properties', '.', '[SEP]']\n",
+      "Filtered   (017): ['we', \"'\", 're', 'talking', 'about', 'years', 'ago', 'before', 'anyone', 'heard', 'of', 'asbestos', 'having', 'any', 'questionable', 'properties', '.']\n",
+      "Detokenized (016): ['we', \"'re\", 'talking', 'about', 'years', 'ago', 'before', 'anyone', 'heard', 'of', 'asbestos', 'having', 'any', 'questionable', 'properties', '.']\n",
+      "Counter: 17\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 16, 768)\n",
+      "# Extracted words:  16\n",
+      "Sentence         : \"There is no asbestos in our products now . ''\"\n",
+      "Original    (010): ['There', 'is', 'no', 'asbestos', 'in', 'our', 'products', 'now', '.', \"''\"]\n",
+      "Tokenized   (013): ['[CLS]', 'there', 'is', 'no', 'asbestos', 'in', 'our', 'products', 'now', '.', \"'\", \"'\", '[SEP]']\n",
+      "Filtered   (011): ['there', 'is', 'no', 'asbestos', 'in', 'our', 'products', 'now', '.', \"'\", \"'\"]\n",
+      "Detokenized (010): ['there', 'is', 'no', 'asbestos', 'in', 'our', 'products', 'now', '.', \"''\"]\n",
+      "Counter: 11\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 10, 768)\n",
+      "# Extracted words:  10\n"
+     ]
+    }
+   ],
+   "source": [
+    "# extract activations for the train sentences \n",
+    "transformers_extractor.extract_representations('bert-base-uncased',\n",
+    "    train_sentences,\n",
+    "    'train_activations.json',\n",
+    "    aggregation=\"average\" #last, first\n",
+    ")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "id": "ab1bb497",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Loading model: bert-base-uncased\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "Some weights of the model checkpoint at bert-base-uncased were not used when initializing BertModel: ['cls.predictions.bias', 'cls.predictions.transform.dense.bias', 'cls.seq_relationship.weight', 'cls.predictions.transform.LayerNorm.bias', 'cls.predictions.transform.dense.weight', 'cls.predictions.decoder.weight', 'cls.seq_relationship.bias', 'cls.predictions.transform.LayerNorm.weight']\n",
+      "- This IS expected if you are initializing BertModel from the checkpoint of a model trained on another task or with another architecture (e.g. initializing a BertForSequenceClassification model from a BertForPreTraining model).\n",
+      "- This IS NOT expected if you are initializing BertModel from the checkpoint of a model that you expect to be exactly identical (initializing a BertForSequenceClassification model from a BertForSequenceClassification model).\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Reading input corpus\n",
+      "Preparing output file\n",
+      "Extracting representations from model\n",
+      "Sentence         : \"The Arizona Corporations Commission authorized an 11.5 % rate increase at Tucson Electric Power Co. , substantially lower than recommended last month by a commission hearing officer and barely half the rise sought by the utility .\"\n",
+      "Original    (037): ['The', 'Arizona', 'Corporations', 'Commission', 'authorized', 'an', '11.5', '%', 'rate', 'increase', 'at', 'Tucson', 'Electric', 'Power', 'Co.', ',', 'substantially', 'lower', 'than', 'recommended', 'last', 'month', 'by', 'a', 'commission', 'hearing', 'officer', 'and', 'barely', 'half', 'the', 'rise', 'sought', 'by', 'the', 'utility', '.']\n",
+      "Tokenized   (042): ['[CLS]', 'the', 'arizona', 'corporations', 'commission', 'authorized', 'an', '11', '.', '5', '%', 'rate', 'increase', 'at', 'tucson', 'electric', 'power', 'co', '.', ',', 'substantially', 'lower', 'than', 'recommended', 'last', 'month', 'by', 'a', 'commission', 'hearing', 'officer', 'and', 'barely', 'half', 'the', 'rise', 'sought', 'by', 'the', 'utility', '.', '[SEP]']\n",
+      "Filtered   (040): ['the', 'arizona', 'corporations', 'commission', 'authorized', 'an', '11', '.', '5', '%', 'rate', 'increase', 'at', 'tucson', 'electric', 'power', 'co', '.', ',', 'substantially', 'lower', 'than', 'recommended', 'last', 'month', 'by', 'a', 'commission', 'hearing', 'officer', 'and', 'barely', 'half', 'the', 'rise', 'sought', 'by', 'the', 'utility', '.']\n",
+      "Detokenized (037): ['the', 'arizona', 'corporations', 'commission', 'authorized', 'an', '11.5', '%', 'rate', 'increase', 'at', 'tucson', 'electric', 'power', 'co.', ',', 'substantially', 'lower', 'than', 'recommended', 'last', 'month', 'by', 'a', 'commission', 'hearing', 'officer', 'and', 'barely', 'half', 'the', 'rise', 'sought', 'by', 'the', 'utility', '.']\n",
+      "Counter: 40\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 37, 768)\n",
+      "# Extracted words:  37\n",
+      "Sentence         : \"The ruling follows a host of problems at Tucson Electric , including major write-downs , a 60 % slash in the common stock dividend and the departure of former Chairman Einar Greve during a company investigation of his stock sales .\"\n",
+      "Original    (041): ['The', 'ruling', 'follows', 'a', 'host', 'of', 'problems', 'at', 'Tucson', 'Electric', ',', 'including', 'major', 'write-downs', ',', 'a', '60', '%', 'slash', 'in', 'the', 'common', 'stock', 'dividend', 'and', 'the', 'departure', 'of', 'former', 'Chairman', 'Einar', 'Greve', 'during', 'a', 'company', 'investigation', 'of', 'his', 'stock', 'sales', '.']\n",
+      "Tokenized   (048): ['[CLS]', 'the', 'ruling', 'follows', 'a', 'host', 'of', 'problems', 'at', 'tucson', 'electric', ',', 'including', 'major', 'write', '-', 'downs', ',', 'a', '60', '%', 'slash', 'in', 'the', 'common', 'stock', 'divide', '##nd', 'and', 'the', 'departure', 'of', 'former', 'chairman', 'ein', '##ar', 'gr', '##eve', 'during', 'a', 'company', 'investigation', 'of', 'his', 'stock', 'sales', '.', '[SEP]']\n",
+      "Filtered   (046): ['the', 'ruling', 'follows', 'a', 'host', 'of', 'problems', 'at', 'tucson', 'electric', ',', 'including', 'major', 'write', '-', 'downs', ',', 'a', '60', '%', 'slash', 'in', 'the', 'common', 'stock', 'divide', '##nd', 'and', 'the', 'departure', 'of', 'former', 'chairman', 'ein', '##ar', 'gr', '##eve', 'during', 'a', 'company', 'investigation', 'of', 'his', 'stock', 'sales', '.']\n",
+      "Detokenized (041): ['the', 'ruling', 'follows', 'a', 'host', 'of', 'problems', 'at', 'tucson', 'electric', ',', 'including', 'major', 'write-downs', ',', 'a', '60', '%', 'slash', 'in', 'the', 'common', 'stock', 'divide##nd', 'and', 'the', 'departure', 'of', 'former', 'chairman', 'ein##ar', 'gr##eve', 'during', 'a', 'company', 'investigation', 'of', 'his', 'stock', 'sales', '.']\n",
+      "Counter: 46\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 41, 768)\n",
+      "# Extracted words:  41\n",
+      "Sentence         : \"The Arizona regulatory ruling calls for $ 42 million in added revenue yearly , compared with a $ 57 million boost proposed by the commission hearing officer .\"\n",
+      "Original    (028): ['The', 'Arizona', 'regulatory', 'ruling', 'calls', 'for', '$', '42', 'million', 'in', 'added', 'revenue', 'yearly', ',', 'compared', 'with', 'a', '$', '57', 'million', 'boost', 'proposed', 'by', 'the', 'commission', 'hearing', 'officer', '.']\n",
+      "Tokenized   (030): ['[CLS]', 'the', 'arizona', 'regulatory', 'ruling', 'calls', 'for', '$', '42', 'million', 'in', 'added', 'revenue', 'yearly', ',', 'compared', 'with', 'a', '$', '57', 'million', 'boost', 'proposed', 'by', 'the', 'commission', 'hearing', 'officer', '.', '[SEP]']\n",
+      "Filtered   (028): ['the', 'arizona', 'regulatory', 'ruling', 'calls', 'for', '$', '42', 'million', 'in', 'added', 'revenue', 'yearly', ',', 'compared', 'with', 'a', '$', '57', 'million', 'boost', 'proposed', 'by', 'the', 'commission', 'hearing', 'officer', '.']\n",
+      "Detokenized (028): ['the', 'arizona', 'regulatory', 'ruling', 'calls', 'for', '$', '42', 'million', 'in', 'added', 'revenue', 'yearly', ',', 'compared', 'with', 'a', '$', '57', 'million', 'boost', 'proposed', 'by', 'the', 'commission', 'hearing', 'officer', '.']\n",
+      "Counter: 28\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 28, 768)\n",
+      "# Extracted words:  28\n",
+      "Sentence         : \"The company had sought increases totaling $ 80.3 million , or 22 % .\"\n",
+      "Original    (014): ['The', 'company', 'had', 'sought', 'increases', 'totaling', '$', '80.3', 'million', ',', 'or', '22', '%', '.']\n",
+      "Tokenized   (018): ['[CLS]', 'the', 'company', 'had', 'sought', 'increases', 'totaling', '$', '80', '.', '3', 'million', ',', 'or', '22', '%', '.', '[SEP]']\n",
+      "Filtered   (016): ['the', 'company', 'had', 'sought', 'increases', 'totaling', '$', '80', '.', '3', 'million', ',', 'or', '22', '%', '.']\n",
+      "Detokenized (014): ['the', 'company', 'had', 'sought', 'increases', 'totaling', '$', '80.3', 'million', ',', 'or', '22', '%', '.']\n",
+      "Counter: 16\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 14, 768)\n",
+      "# Extracted words:  14\n",
+      "Sentence         : \"The decision was announced after trading ended .\"\n",
+      "Original    (008): ['The', 'decision', 'was', 'announced', 'after', 'trading', 'ended', '.']\n",
+      "Tokenized   (010): ['[CLS]', 'the', 'decision', 'was', 'announced', 'after', 'trading', 'ended', '.', '[SEP]']\n",
+      "Filtered   (008): ['the', 'decision', 'was', 'announced', 'after', 'trading', 'ended', '.']\n",
+      "Detokenized (008): ['the', 'decision', 'was', 'announced', 'after', 'trading', 'ended', '.']\n",
+      "Counter: 8\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 8, 768)\n",
+      "# Extracted words:  8\n",
+      "Sentence         : \"Tucson Electric closed at $ 20.875 a share , down 25 cents , in New York Stock Exchange composite trading .\"\n",
+      "Original    (021): ['Tucson', 'Electric', 'closed', 'at', '$', '20.875', 'a', 'share', ',', 'down', '25', 'cents', ',', 'in', 'New', 'York', 'Stock', 'Exchange', 'composite', 'trading', '.']\n",
+      "Tokenized   (025): ['[CLS]', 'tucson', 'electric', 'closed', 'at', '$', '20', '.', '875', 'a', 'share', ',', 'down', '25', 'cents', ',', 'in', 'new', 'york', 'stock', 'exchange', 'composite', 'trading', '.', '[SEP]']\n",
+      "Filtered   (023): ['tucson', 'electric', 'closed', 'at', '$', '20', '.', '875', 'a', 'share', ',', 'down', '25', 'cents', ',', 'in', 'new', 'york', 'stock', 'exchange', 'composite', 'trading', '.']\n",
+      "Detokenized (021): ['tucson', 'electric', 'closed', 'at', '$', '20.875', 'a', 'share', ',', 'down', '25', 'cents', ',', 'in', 'new', 'york', 'stock', 'exchange', 'composite', 'trading', '.']\n",
+      "Counter: 23\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 21, 768)\n",
+      "# Extracted words:  21\n",
+      "Sentence         : \"A Tucson Electric spokesman said the utility was disappointed by the commission 's decision and `` concerned about the financial integrity of the company .\"\n",
+      "Original    (025): ['A', 'Tucson', 'Electric', 'spokesman', 'said', 'the', 'utility', 'was', 'disappointed', 'by', 'the', 'commission', \"'s\", 'decision', 'and', '``', 'concerned', 'about', 'the', 'financial', 'integrity', 'of', 'the', 'company', '.']\n",
+      "Tokenized   (029): ['[CLS]', 'a', 'tucson', 'electric', 'spokesman', 'said', 'the', 'utility', 'was', 'disappointed', 'by', 'the', 'commission', \"'\", 's', 'decision', 'and', '`', '`', 'concerned', 'about', 'the', 'financial', 'integrity', 'of', 'the', 'company', '.', '[SEP]']\n",
+      "Filtered   (027): ['a', 'tucson', 'electric', 'spokesman', 'said', 'the', 'utility', 'was', 'disappointed', 'by', 'the', 'commission', \"'\", 's', 'decision', 'and', '`', '`', 'concerned', 'about', 'the', 'financial', 'integrity', 'of', 'the', 'company', '.']\n",
+      "Detokenized (025): ['a', 'tucson', 'electric', 'spokesman', 'said', 'the', 'utility', 'was', 'disappointed', 'by', 'the', 'commission', \"'s\", 'decision', 'and', '``', 'concerned', 'about', 'the', 'financial', 'integrity', 'of', 'the', 'company', '.']\n",
+      "Counter: 27\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 25, 768)\n",
+      "# Extracted words:  25\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Sentence         : \"South Korean President Roh Tae Woo , brushing aside suggestions that the won be revalued again , said the currency 's current level against the dollar is `` appropriate . ''\"\n",
+      "Original    (031): ['South', 'Korean', 'President', 'Roh', 'Tae', 'Woo', ',', 'brushing', 'aside', 'suggestions', 'that', 'the', 'won', 'be', 'revalued', 'again', ',', 'said', 'the', 'currency', \"'s\", 'current', 'level', 'against', 'the', 'dollar', 'is', '``', 'appropriate', '.', \"''\"]\n",
+      "Tokenized   (040): ['[CLS]', 'south', 'korean', 'president', 'ro', '##h', 'tae', 'woo', ',', 'brushing', 'aside', 'suggestions', 'that', 'the', 'won', 'be', 'rev', '##al', '##ue', '##d', 'again', ',', 'said', 'the', 'currency', \"'\", 's', 'current', 'level', 'against', 'the', 'dollar', 'is', '`', '`', 'appropriate', '.', \"'\", \"'\", '[SEP]']\n",
+      "Filtered   (038): ['south', 'korean', 'president', 'ro', '##h', 'tae', 'woo', ',', 'brushing', 'aside', 'suggestions', 'that', 'the', 'won', 'be', 'rev', '##al', '##ue', '##d', 'again', ',', 'said', 'the', 'currency', \"'\", 's', 'current', 'level', 'against', 'the', 'dollar', 'is', '`', '`', 'appropriate', '.', \"'\", \"'\"]\n",
+      "Detokenized (031): ['south', 'korean', 'president', 'ro##h', 'tae', 'woo', ',', 'brushing', 'aside', 'suggestions', 'that', 'the', 'won', 'be', 'rev##al##ue##d', 'again', ',', 'said', 'the', 'currency', \"'s\", 'current', 'level', 'against', 'the', 'dollar', 'is', '``', 'appropriate', '.', \"''\"]\n",
+      "Counter: 38\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 31, 768)\n",
+      "# Extracted words:  31\n",
+      "Sentence         : \"His comments , made in response to reporters ' questions at the National Press Club here , signaled that Seoul is resisting U.S. pressure for a further rise in the currency 's value .\"\n",
+      "Original    (034): ['His', 'comments', ',', 'made', 'in', 'response', 'to', 'reporters', \"'\", 'questions', 'at', 'the', 'National', 'Press', 'Club', 'here', ',', 'signaled', 'that', 'Seoul', 'is', 'resisting', 'U.S.', 'pressure', 'for', 'a', 'further', 'rise', 'in', 'the', 'currency', \"'s\", 'value', '.']\n",
+      "Tokenized   (040): ['[CLS]', 'his', 'comments', ',', 'made', 'in', 'response', 'to', 'reporters', \"'\", 'questions', 'at', 'the', 'national', 'press', 'club', 'here', ',', 'signaled', 'that', 'seoul', 'is', 'resisting', 'u', '.', 's', '.', 'pressure', 'for', 'a', 'further', 'rise', 'in', 'the', 'currency', \"'\", 's', 'value', '.', '[SEP]']\n",
+      "Filtered   (038): ['his', 'comments', ',', 'made', 'in', 'response', 'to', 'reporters', \"'\", 'questions', 'at', 'the', 'national', 'press', 'club', 'here', ',', 'signaled', 'that', 'seoul', 'is', 'resisting', 'u', '.', 's', '.', 'pressure', 'for', 'a', 'further', 'rise', 'in', 'the', 'currency', \"'\", 's', 'value', '.']\n",
+      "Detokenized (034): ['his', 'comments', ',', 'made', 'in', 'response', 'to', 'reporters', \"'\", 'questions', 'at', 'the', 'national', 'press', 'club', 'here', ',', 'signaled', 'that', 'seoul', 'is', 'resisting', 'u.s.', 'pressure', 'for', 'a', 'further', 'rise', 'in', 'the', 'currency', \"'s\", 'value', '.']\n",
+      "Counter: 38\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 34, 768)\n",
+      "# Extracted words:  34\n",
+      "Sentence         : \"The U.S. wants a higher won to make South Korea 's exports more expensive and help trim Seoul 's trade surplus .\"\n",
+      "Original    (022): ['The', 'U.S.', 'wants', 'a', 'higher', 'won', 'to', 'make', 'South', 'Korea', \"'s\", 'exports', 'more', 'expensive', 'and', 'help', 'trim', 'Seoul', \"'s\", 'trade', 'surplus', '.']\n",
+      "Tokenized   (029): ['[CLS]', 'the', 'u', '.', 's', '.', 'wants', 'a', 'higher', 'won', 'to', 'make', 'south', 'korea', \"'\", 's', 'exports', 'more', 'expensive', 'and', 'help', 'trim', 'seoul', \"'\", 's', 'trade', 'surplus', '.', '[SEP]']\n",
+      "Filtered   (027): ['the', 'u', '.', 's', '.', 'wants', 'a', 'higher', 'won', 'to', 'make', 'south', 'korea', \"'\", 's', 'exports', 'more', 'expensive', 'and', 'help', 'trim', 'seoul', \"'\", 's', 'trade', 'surplus', '.']\n",
+      "Detokenized (022): ['the', 'u.s.', 'wants', 'a', 'higher', 'won', 'to', 'make', 'south', 'korea', \"'s\", 'exports', 'more', 'expensive', 'and', 'help', 'trim', 'seoul', \"'s\", 'trade', 'surplus', '.']\n",
+      "Counter: 27\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 22, 768)\n",
+      "# Extracted words:  22\n"
+     ]
+    }
+   ],
+   "source": [
+    "# extract activations for the dev sentences \n",
+    "transformers_extractor.extract_representations('bert-base-uncased',\n",
+    "    dev_sentences,\n",
+    "    'dev_activations.json',\n",
+    "    aggregation=\"average\" #last, first\n",
+    ")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "id": "1366c878",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Loading model: bert-base-uncased\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "Some weights of the model checkpoint at bert-base-uncased were not used when initializing BertModel: ['cls.predictions.bias', 'cls.predictions.transform.dense.bias', 'cls.seq_relationship.weight', 'cls.predictions.transform.LayerNorm.bias', 'cls.predictions.transform.dense.weight', 'cls.predictions.decoder.weight', 'cls.seq_relationship.bias', 'cls.predictions.transform.LayerNorm.weight']\n",
+      "- This IS expected if you are initializing BertModel from the checkpoint of a model trained on another task or with another architecture (e.g. initializing a BertForSequenceClassification model from a BertForPreTraining model).\n",
+      "- This IS NOT expected if you are initializing BertModel from the checkpoint of a model that you expect to be exactly identical (initializing a BertForSequenceClassification model from a BertForSequenceClassification model).\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Reading input corpus\n",
+      "Preparing output file\n",
+      "Extracting representations from model\n",
+      "Sentence         : \"Rockwell International Corp. 's Tulsa unit said it signed a tentative agreement extending its contract with Boeing Co. to provide structural parts for Boeing 's 747 jetliners .\"\n",
+      "Original    (028): ['Rockwell', 'International', 'Corp.', \"'s\", 'Tulsa', 'unit', 'said', 'it', 'signed', 'a', 'tentative', 'agreement', 'extending', 'its', 'contract', 'with', 'Boeing', 'Co.', 'to', 'provide', 'structural', 'parts', 'for', 'Boeing', \"'s\", '747', 'jetliners', '.']\n",
+      "Tokenized   (036): ['[CLS]', 'rockwell', 'international', 'corp', '.', \"'\", 's', 'tulsa', 'unit', 'said', 'it', 'signed', 'a', 'tentative', 'agreement', 'extending', 'its', 'contract', 'with', 'boeing', 'co', '.', 'to', 'provide', 'structural', 'parts', 'for', 'boeing', \"'\", 's', '747', 'jet', '##liner', '##s', '.', '[SEP]']\n",
+      "Filtered   (034): ['rockwell', 'international', 'corp', '.', \"'\", 's', 'tulsa', 'unit', 'said', 'it', 'signed', 'a', 'tentative', 'agreement', 'extending', 'its', 'contract', 'with', 'boeing', 'co', '.', 'to', 'provide', 'structural', 'parts', 'for', 'boeing', \"'\", 's', '747', 'jet', '##liner', '##s', '.']\n",
+      "Detokenized (028): ['rockwell', 'international', 'corp.', \"'s\", 'tulsa', 'unit', 'said', 'it', 'signed', 'a', 'tentative', 'agreement', 'extending', 'its', 'contract', 'with', 'boeing', 'co.', 'to', 'provide', 'structural', 'parts', 'for', 'boeing', \"'s\", '747', 'jet##liner##s', '.']\n",
+      "Counter: 34\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 28, 768)\n",
+      "# Extracted words:  28\n",
+      "Sentence         : \"Rockwell said the agreement calls for it to supply 200 additional so-called shipsets for the planes .\"\n",
+      "Original    (017): ['Rockwell', 'said', 'the', 'agreement', 'calls', 'for', 'it', 'to', 'supply', '200', 'additional', 'so-called', 'shipsets', 'for', 'the', 'planes', '.']\n",
+      "Tokenized   (022): ['[CLS]', 'rockwell', 'said', 'the', 'agreement', 'calls', 'for', 'it', 'to', 'supply', '200', 'additional', 'so', '-', 'called', 'ships', '##ets', 'for', 'the', 'planes', '.', '[SEP]']\n",
+      "Filtered   (020): ['rockwell', 'said', 'the', 'agreement', 'calls', 'for', 'it', 'to', 'supply', '200', 'additional', 'so', '-', 'called', 'ships', '##ets', 'for', 'the', 'planes', '.']\n",
+      "Detokenized (017): ['rockwell', 'said', 'the', 'agreement', 'calls', 'for', 'it', 'to', 'supply', '200', 'additional', 'so-called', 'ships##ets', 'for', 'the', 'planes', '.']\n",
+      "Counter: 20\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 17, 768)\n",
+      "# Extracted words:  17\n",
+      "Sentence         : \"These include , among other parts , each jetliner 's two major bulkheads , a pressure floor , torque box , fixed leading edges for the wings and an aft keel beam .\"\n",
+      "Original    (033): ['These', 'include', ',', 'among', 'other', 'parts', ',', 'each', 'jetliner', \"'s\", 'two', 'major', 'bulkheads', ',', 'a', 'pressure', 'floor', ',', 'torque', 'box', ',', 'fixed', 'leading', 'edges', 'for', 'the', 'wings', 'and', 'an', 'aft', 'keel', 'beam', '.']\n",
+      "Tokenized   (038): ['[CLS]', 'these', 'include', ',', 'among', 'other', 'parts', ',', 'each', 'jet', '##liner', \"'\", 's', 'two', 'major', 'bulk', '##heads', ',', 'a', 'pressure', 'floor', ',', 'torque', 'box', ',', 'fixed', 'leading', 'edges', 'for', 'the', 'wings', 'and', 'an', 'aft', 'keel', 'beam', '.', '[SEP]']\n",
+      "Filtered   (036): ['these', 'include', ',', 'among', 'other', 'parts', ',', 'each', 'jet', '##liner', \"'\", 's', 'two', 'major', 'bulk', '##heads', ',', 'a', 'pressure', 'floor', ',', 'torque', 'box', ',', 'fixed', 'leading', 'edges', 'for', 'the', 'wings', 'and', 'an', 'aft', 'keel', 'beam', '.']\n",
+      "Detokenized (033): ['these', 'include', ',', 'among', 'other', 'parts', ',', 'each', 'jet##liner', \"'s\", 'two', 'major', 'bulk##heads', ',', 'a', 'pressure', 'floor', ',', 'torque', 'box', ',', 'fixed', 'leading', 'edges', 'for', 'the', 'wings', 'and', 'an', 'aft', 'keel', 'beam', '.']\n",
+      "Counter: 36\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 33, 768)\n",
+      "# Extracted words:  33\n",
+      "Sentence         : \"Under the existing contract , Rockwell said , it has already delivered 793 of the shipsets to Boeing .\"\n",
+      "Original    (019): ['Under', 'the', 'existing', 'contract', ',', 'Rockwell', 'said', ',', 'it', 'has', 'already', 'delivered', '793', 'of', 'the', 'shipsets', 'to', 'Boeing', '.']\n",
+      "Tokenized   (023): ['[CLS]', 'under', 'the', 'existing', 'contract', ',', 'rockwell', 'said', ',', 'it', 'has', 'already', 'delivered', '79', '##3', 'of', 'the', 'ships', '##ets', 'to', 'boeing', '.', '[SEP]']\n",
+      "Filtered   (021): ['under', 'the', 'existing', 'contract', ',', 'rockwell', 'said', ',', 'it', 'has', 'already', 'delivered', '79', '##3', 'of', 'the', 'ships', '##ets', 'to', 'boeing', '.']\n",
+      "Detokenized (019): ['under', 'the', 'existing', 'contract', ',', 'rockwell', 'said', ',', 'it', 'has', 'already', 'delivered', '79##3', 'of', 'the', 'ships##ets', 'to', 'boeing', '.']\n",
+      "Counter: 21\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 19, 768)\n",
+      "# Extracted words:  19\n",
+      "Sentence         : \"Rockwell , based in El Segundo , Calif. , is an aerospace , electronics , automotive and graphics concern .\"\n",
+      "Original    (020): ['Rockwell', ',', 'based', 'in', 'El', 'Segundo', ',', 'Calif.', ',', 'is', 'an', 'aerospace', ',', 'electronics', ',', 'automotive', 'and', 'graphics', 'concern', '.']\n",
+      "Tokenized   (026): ['[CLS]', 'rockwell', ',', 'based', 'in', 'el', 'se', '##gun', '##do', ',', 'cal', '##if', '.', ',', 'is', 'an', 'aerospace', ',', 'electronics', ',', 'automotive', 'and', 'graphics', 'concern', '.', '[SEP]']\n",
+      "Filtered   (024): ['rockwell', ',', 'based', 'in', 'el', 'se', '##gun', '##do', ',', 'cal', '##if', '.', ',', 'is', 'an', 'aerospace', ',', 'electronics', ',', 'automotive', 'and', 'graphics', 'concern', '.']\n",
+      "Detokenized (020): ['rockwell', ',', 'based', 'in', 'el', 'se##gun##do', ',', 'cal##if.', ',', 'is', 'an', 'aerospace', ',', 'electronics', ',', 'automotive', 'and', 'graphics', 'concern', '.']\n",
+      "Counter: 24\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 20, 768)\n",
+      "# Extracted words:  20\n",
+      "Sentence         : \"Frank Carlucci III was named to this telecommunications company 's board , filling the vacancy created by the death of William Sobey last May .\"\n",
+      "Original    (025): ['Frank', 'Carlucci', 'III', 'was', 'named', 'to', 'this', 'telecommunications', 'company', \"'s\", 'board', ',', 'filling', 'the', 'vacancy', 'created', 'by', 'the', 'death', 'of', 'William', 'Sobey', 'last', 'May', '.']\n",
+      "Tokenized   (030): ['[CLS]', 'frank', 'carl', '##ucci', 'iii', 'was', 'named', 'to', 'this', 'telecommunications', 'company', \"'\", 's', 'board', ',', 'filling', 'the', 'vacancy', 'created', 'by', 'the', 'death', 'of', 'william', 'sob', '##ey', 'last', 'may', '.', '[SEP]']\n",
+      "Filtered   (028): ['frank', 'carl', '##ucci', 'iii', 'was', 'named', 'to', 'this', 'telecommunications', 'company', \"'\", 's', 'board', ',', 'filling', 'the', 'vacancy', 'created', 'by', 'the', 'death', 'of', 'william', 'sob', '##ey', 'last', 'may', '.']\n",
+      "Detokenized (025): ['frank', 'carl##ucci', 'iii', 'was', 'named', 'to', 'this', 'telecommunications', 'company', \"'s\", 'board', ',', 'filling', 'the', 'vacancy', 'created', 'by', 'the', 'death', 'of', 'william', 'sob##ey', 'last', 'may', '.']\n",
+      "Counter: 28\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 25, 768)\n",
+      "# Extracted words:  25\n",
+      "Sentence         : \"Mr. Carlucci , 59 years old , served as defense secretary in the Reagan administration .\"\n",
+      "Original    (016): ['Mr.', 'Carlucci', ',', '59', 'years', 'old', ',', 'served', 'as', 'defense', 'secretary', 'in', 'the', 'Reagan', 'administration', '.']\n",
+      "Tokenized   (020): ['[CLS]', 'mr', '.', 'carl', '##ucci', ',', '59', 'years', 'old', ',', 'served', 'as', 'defense', 'secretary', 'in', 'the', 'reagan', 'administration', '.', '[SEP]']\n",
+      "Filtered   (018): ['mr', '.', 'carl', '##ucci', ',', '59', 'years', 'old', ',', 'served', 'as', 'defense', 'secretary', 'in', 'the', 'reagan', 'administration', '.']\n",
+      "Detokenized (016): ['mr.', 'carl##ucci', ',', '59', 'years', 'old', ',', 'served', 'as', 'defense', 'secretary', 'in', 'the', 'reagan', 'administration', '.']\n",
+      "Counter: 18\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 16, 768)\n",
+      "# Extracted words:  16\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Sentence         : \"In January , he accepted the position of vice chairman of Carlyle Group , a merchant banking concern .\"\n",
+      "Original    (019): ['In', 'January', ',', 'he', 'accepted', 'the', 'position', 'of', 'vice', 'chairman', 'of', 'Carlyle', 'Group', ',', 'a', 'merchant', 'banking', 'concern', '.']\n",
+      "Tokenized   (022): ['[CLS]', 'in', 'january', ',', 'he', 'accepted', 'the', 'position', 'of', 'vice', 'chairman', 'of', 'carly', '##le', 'group', ',', 'a', 'merchant', 'banking', 'concern', '.', '[SEP]']\n",
+      "Filtered   (020): ['in', 'january', ',', 'he', 'accepted', 'the', 'position', 'of', 'vice', 'chairman', 'of', 'carly', '##le', 'group', ',', 'a', 'merchant', 'banking', 'concern', '.']\n",
+      "Detokenized (019): ['in', 'january', ',', 'he', 'accepted', 'the', 'position', 'of', 'vice', 'chairman', 'of', 'carly##le', 'group', ',', 'a', 'merchant', 'banking', 'concern', '.']\n",
+      "Counter: 20\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 19, 768)\n",
+      "# Extracted words:  19\n",
+      "Sentence         : \"SHEARSON LEHMAN HUTTON Inc .\"\n",
+      "Original    (005): ['SHEARSON', 'LEHMAN', 'HUTTON', 'Inc', '.']\n",
+      "Tokenized   (008): ['[CLS]', 'shear', '##son', 'lehman', 'hutton', 'inc', '.', '[SEP]']\n",
+      "Filtered   (006): ['shear', '##son', 'lehman', 'hutton', 'inc', '.']\n",
+      "Detokenized (005): ['shear##son', 'lehman', 'hutton', 'inc', '.']\n",
+      "Counter: 6\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 5, 768)\n",
+      "# Extracted words:  5\n",
+      "Sentence         : \"Thomas E. Meador , 42 years old , was named president and chief operating officer of Balcor Co. , a Skokie , Ill. , subsidiary of this New York investment banking firm .\"\n",
+      "Original    (033): ['Thomas', 'E.', 'Meador', ',', '42', 'years', 'old', ',', 'was', 'named', 'president', 'and', 'chief', 'operating', 'officer', 'of', 'Balcor', 'Co.', ',', 'a', 'Skokie', ',', 'Ill.', ',', 'subsidiary', 'of', 'this', 'New', 'York', 'investment', 'banking', 'firm', '.']\n",
+      "Tokenized   (042): ['[CLS]', 'thomas', 'e', '.', 'mead', '##or', ',', '42', 'years', 'old', ',', 'was', 'named', 'president', 'and', 'chief', 'operating', 'officer', 'of', 'bal', '##cor', 'co', '.', ',', 'a', 'sk', '##oki', '##e', ',', 'ill', '.', ',', 'subsidiary', 'of', 'this', 'new', 'york', 'investment', 'banking', 'firm', '.', '[SEP]']\n",
+      "Filtered   (040): ['thomas', 'e', '.', 'mead', '##or', ',', '42', 'years', 'old', ',', 'was', 'named', 'president', 'and', 'chief', 'operating', 'officer', 'of', 'bal', '##cor', 'co', '.', ',', 'a', 'sk', '##oki', '##e', ',', 'ill', '.', ',', 'subsidiary', 'of', 'this', 'new', 'york', 'investment', 'banking', 'firm', '.']\n",
+      "Detokenized (033): ['thomas', 'e.', 'mead##or', ',', '42', 'years', 'old', ',', 'was', 'named', 'president', 'and', 'chief', 'operating', 'officer', 'of', 'bal##cor', 'co.', ',', 'a', 'sk##oki##e', ',', 'ill.', ',', 'subsidiary', 'of', 'this', 'new', 'york', 'investment', 'banking', 'firm', '.']\n",
+      "Counter: 40\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 33, 768)\n",
+      "# Extracted words:  33\n"
+     ]
+    }
+   ],
+   "source": [
+    "# extract activations for the test sentences \n",
+    "transformers_extractor.extract_representations('bert-base-uncased',\n",
+    "    test_sentences,\n",
+    "    'test_activations.json',\n",
+    "    aggregation=\"average\" #last, first\n",
+    ")"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "503e5188",
+   "metadata": {},
+   "source": [
+    "# Train a Linear Probe"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "id": "f4401684",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Loading json activations from train_activations.json...\n",
+      "10 13.0\n"
+     ]
+    }
+   ],
+   "source": [
+    "activations, num_layers = data_loader.load_activations('train_activations.json', 768)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "id": "336c8254",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "tokens = data_loader.load_data(train_sentences, train_labels, activations, 512)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 12,
+   "id": "1252cd82",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Number of tokens:  224\n",
+      "length of source dictionary:  142\n",
+      "length of target dictionary:  29\n",
+      "224\n",
+      "Total instances: 224\n",
+      "['about', 'up', 'Inc.', 'preliminary', 'appear', 'We', 'There', 'Rudolph', 'named', 'said', 'in', 'an', 'now', 'has', '1956', 'causing', 'industrial', 'new', 'Nov.', 'results']\n",
+      "Number of samples:  224\n",
+      "Stats: Labels with their frequencies in the final set\n",
+      "VBD 7\n",
+      "PRP 4\n",
+      "POS 1\n",
+      ". 10\n",
+      "TO 5\n",
+      "RBR 2\n",
+      "VBN 5\n",
+      "VBZ 7\n",
+      "WDT 2\n",
+      ", 15\n",
+      "NN 30\n",
+      "CC 1\n",
+      "`` 1\n",
+      "NNS 19\n",
+      "EX 1\n",
+      "MD 1\n",
+      "VBP 3\n",
+      "'' 1\n",
+      "RP 1\n",
+      "CD 5\n",
+      "JJ 18\n",
+      "NNP 25\n",
+      "JJS 1\n",
+      "RB 4\n",
+      "DT 20\n",
+      "PRP$ 2\n",
+      "VBG 5\n",
+      "IN 25\n",
+      "VB 3\n",
+      "Training classification probe\n",
+      "Creating model...\n",
+      "Number of training instances: 224\n",
+      "Number of classes: 29\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.006525516510009766,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [1/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "ba906d3c5f3e4840877c7b22cb811b3f",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [1/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [1/10], Loss: 0.1108\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
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+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [2/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "e3cc1231fe8641e1bd99ebce64952459",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [2/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [2/10], Loss: 0.0472\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
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+       "initial": 0,
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+       "prefix": "epoch [3/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "7d1c8593924a477399b2c6662ddee430",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [3/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [3/10], Loss: 0.0447\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004227399826049805,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [4/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "ea43046fdf04410ba91815d5f63774f5",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [4/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [4/10], Loss: 0.0408\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004177570343017578,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [5/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "ac588eb0f6074346962d56785743fad0",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [5/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [5/10], Loss: 0.0352\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.0040738582611083984,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [6/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "c084be8c2389498b87cac07bf6e56beb",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [6/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [6/10], Loss: 0.0296\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.00404810905456543,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [7/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "44f9fd1b34ba4a31b2f6f618c5922b53",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [7/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [7/10], Loss: 0.0248\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004717350006103516,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [8/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "850171b56bf94895b3d8ad5d87c73ed6",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [8/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [8/10], Loss: 0.0209\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.00441288948059082,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [9/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "7d5f2939ca414cfd9ad4c2d461637dce",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [9/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [9/10], Loss: 0.0181\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.0040934085845947266,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [10/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "6ac894f931d742eea7f136339d7731d3",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [10/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [10/10], Loss: 0.0160\n"
+     ]
+    }
+   ],
+   "source": [
+    "X, y, mapping = utils.create_tensors(tokens, activations, 'NN')\n",
+    "label2idx, idx2label, src2idx, idx2src = mapping\n",
+    "probe = linear_probe.train_logistic_regression_probe(X, y, lambda_l1=0.001, lambda_l2=0.001)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "e0c2462e",
+   "metadata": {},
+   "source": [
+    "# Get Top Neurons"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "id": "fea6c645",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "top_neurons, top_neurons_per_class = linear_probe.get_top_neurons(probe, 0.01, label2idx)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 14,
+   "id": "a7f91ef8",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "{'VBD': array([5539, 3630, 6812, 8643, 4527,   42, 8348, 6126, 3113]), 'PRP': array([4140, 5883, 2093, 3099, 1083, 6836, 2858, 4699, 3528]), 'POS': array([5430, 7572, 4832, 4900]), '.': array([9396, 8628, 4248, 4738, 8219, 4949, 4863]), 'TO': array([4423, 2988, 4709,  589, 1021, 3799, 5349, 5549]), 'RBR': array([9123, 1653, 4527, 5229, 4538, 5899]), 'VBN': array([5848, 4013, 7928, 6307, 7625, 5083, 6018, 3965,  793, 1409]), 'VBZ': array([3659, 7607, 1275,  173, 2188, 3940, 6335, 1463,  430]), 'WDT': array([7817, 4572, 5150,  921, 8830, 5107]), ',': array([8219, 5214, 4137, 2601, 6894, 2756, 3822,  774, 1518, 5060, 3215]), 'NN': array([3459, 6057, 4100, 6579, 5830, 1124, 4057, 5005, 7123, 6305, 1669,\n",
+      "       4604, 4958, 6531, 3489, 9775, 2158, 8128, 3594, 4812]), 'CC': array([ 482, 6862, 6185, 5478]), '``': array([8776, 7240, 7052, 3684]), 'NNS': array([3146, 2016, 8265, 4542, 8684, 5113, 6192,  787, 4789, 1831, 2954,\n",
+      "        931, 9033,  356, 4411, 4021]), 'EX': array([5582, 5069, 8006,  974]), 'MD': array([1076, 1716, 8898, 3755, 2484]), 'VBP': array([6043, 3739, 5360, 7056, 5444, 3507]), \"''\": array([5913, 2983, 8953, 8099, 7722]), 'RP': array([5605, 4578, 3332, 4100]), 'CD': array([5680, 1200, 4148, 2451, 6302, 3419, 1946, 2410, 5829, 5313]), 'JJ': array([5759, 3369, 5625,  775, 3071, 7286, 3375, 2378, 5685, 3799, 1818,\n",
+      "       1477, 6911, 6339, 6458, 9209]), 'NNP': array([6460, 7024, 2268, 2733, 7792, 2971, 3659, 1818, 9486, 3998, 3207,\n",
+      "       1332, 8345, 9903, 9976, 5206, 5596, 9753, 4514, 5207, 4269]), 'JJS': array([5423, 8442, 3884, 7445]), 'RB': array([1905, 1570, 4054, 5295, 8174, 1137, 6196, 4820]), 'DT': array([7298, 1279, 2460, 3980, 5606,  924, 1465, 6194,  846,  481, 5089,\n",
+      "       6018, 4782, 1852]), 'PRP$': array([6036, 5339, 5268, 5939, 8326]), 'VBG': array([5348, 2334, 1713, 5696, 1646, 4167, 7012,  878, 8643]), 'IN': array([5035, 1999, 6143, 3606, 1273, 1690, 6129, 5071, 7535,  400, 7584,\n",
+      "       4345, 5113, 5548, 1608, 9983]), 'VB': array([2742, 2781, 1093, 1837, 3804, 4949,  898])}\n"
+     ]
+    }
+   ],
+   "source": [
+    "print(top_neurons_per_class)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "2cd0ec86",
+   "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": "3.9.12"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/tutorials/Neuron Ranking Algorithms.ipynb b/tutorials/Neuron Ranking Algorithms.ipynb
new file mode 100644
index 0000000..3179d84
--- /dev/null
+++ b/tutorials/Neuron Ranking Algorithms.ipynb	
@@ -0,0 +1,2761 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "id": "5be2e2aa",
+   "metadata": {},
+   "source": [
+    "# Imports"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "id": "56004141",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import neurox.data.extraction.transformers_extractor as transformers_extractor\n",
+    "import neurox.data.loader as data_loader\n",
+    "import neurox.interpretation.utils as utils\n",
+    "import neurox.interpretation.linear_probe as linear_probe\n",
+    "import neurox.interpretation.probeless as probeless\n",
+    "import neurox.interpretation.gaussian_probe as gaussian_probe\n",
+    "import neurox.interpretation.iou_probe as iou_probe"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "fcab96b9",
+   "metadata": {},
+   "source": [
+    "# Data"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "id": "3362f216",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# define paths to your word and label files \n",
+    "train_sentences = \"data/pos_train.word\"\n",
+    "train_labels = \"data/pos_train.label\"\n",
+    "dev_sentences = \"data/pos_dev.word\"\n",
+    "dev_labels = \"data/pos_dev.label\" \n",
+    "test_sentences = \"data/pos_test.word\"\n",
+    "test_labels = \"data/pos_test.label\""
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "id": "dcd1c35a",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Pierre Vinken , 61 years old , will join the board as a nonexecutive director Nov. 29 .\r\n",
+      "Mr. Vinken is chairman of Elsevier N.V. , the Dutch publishing group .\r\n",
+      "Rudolph Agnew , 55 years old and former chairman of Consolidated Gold Fields PLC , was named a nonexecutive director of this British industrial conglomerate .\r\n",
+      "A form of asbestos once used to make Kent cigarette filters has caused a high percentage of cancer deaths among a group of workers exposed to it more than 30 years ago , researchers reported .\r\n",
+      "The asbestos fiber , crocidolite , is unusually resilient once it enters the lungs , with even brief exposures to it causing symptoms that show up decades later , researchers said .\r\n",
+      "Lorillard Inc. , the unit of New York-based Loews Corp. that makes Kent cigarettes , stopped using crocidolite in its Micronite cigarette filters in 1956 .\r\n",
+      "Although preliminary findings were reported more than a year ago , the latest results appear in today 's New England Journal of Medicine , a forum likely to bring new attention to the problem .\r\n",
+      "A Lorillard spokewoman said , `` This is an old story .\r\n",
+      "We 're talking about years ago before anyone heard of asbestos having any questionable properties .\r\n",
+      "There is no asbestos in our products now . ''\r\n"
+     ]
+    }
+   ],
+   "source": [
+    "!cat \"data/pos_train.word\""
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "id": "90b35706",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "NNP NNP , CD NNS JJ , MD VB DT NN IN DT JJ NN NNP CD .\r\n",
+      "NNP NNP VBZ NN IN NNP NNP , DT NNP VBG NN .\r\n",
+      "NNP NNP , CD NNS JJ CC JJ NN IN NNP NNP NNP NNP , VBD VBN DT JJ NN IN DT JJ JJ NN .\r\n",
+      "DT NN IN NN RB VBN TO VB NNP NN NNS VBZ VBN DT JJ NN IN NN NNS IN DT NN IN NNS VBN TO PRP RBR IN CD NNS IN , NNS VBD .\r\n",
+      "DT NN NN , NN , VBZ RB JJ IN PRP VBZ DT NNS , IN RB JJ NNS TO PRP VBG NNS WDT VBP RP NNS JJ , NNS VBD .\r\n",
+      "NNP NNP , DT NN IN JJ JJ NNP NNP WDT VBZ NNP NNS , VBD VBG NN IN PRP$ NN NN NNS IN CD .\r\n",
+      "IN JJ NNS VBD VBN RBR IN DT NN IN , DT JJS NNS VBP IN NN POS NNP NNP NNP IN NNP , DT NN JJ TO VB JJ NN TO DT NN .\r\n",
+      "DT NNP NN VBD , `` DT VBZ DT JJ NN .\r\n",
+      "PRP VBP VBG IN NNS IN IN NN VBD IN NN VBG DT JJ NNS .\r\n",
+      "EX VBZ DT NN IN PRP$ NNS RB . ''\r\n"
+     ]
+    }
+   ],
+   "source": [
+    "!cat \"data/pos_train.label\""
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "39d5f6c3",
+   "metadata": {},
+   "source": [
+    "# Extract Representations"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "id": "83e89084",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Loading model: bert-base-uncased\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "Some weights of the model checkpoint at bert-base-uncased were not used when initializing BertModel: ['cls.predictions.decoder.weight', 'cls.predictions.transform.dense.bias', 'cls.predictions.bias', 'cls.seq_relationship.weight', 'cls.predictions.transform.LayerNorm.bias', 'cls.predictions.transform.dense.weight', 'cls.predictions.transform.LayerNorm.weight', 'cls.seq_relationship.bias']\n",
+      "- This IS expected if you are initializing BertModel from the checkpoint of a model trained on another task or with another architecture (e.g. initializing a BertForSequenceClassification model from a BertForPreTraining model).\n",
+      "- This IS NOT expected if you are initializing BertModel from the checkpoint of a model that you expect to be exactly identical (initializing a BertForSequenceClassification model from a BertForSequenceClassification model).\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Reading input corpus\n",
+      "Preparing output file\n",
+      "Extracting representations from model\n",
+      "Sentence         : \"Pierre Vinken , 61 years old , will join the board as a nonexecutive director Nov. 29 .\"\n",
+      "Original    (018): ['Pierre', 'Vinken', ',', '61', 'years', 'old', ',', 'will', 'join', 'the', 'board', 'as', 'a', 'nonexecutive', 'director', 'Nov.', '29', '.']\n",
+      "Tokenized   (025): ['[CLS]', 'pierre', 'vin', '##ken', ',', '61', 'years', 'old', ',', 'will', 'join', 'the', 'board', 'as', 'a', 'none', '##x', '##ec', '##utive', 'director', 'nov', '.', '29', '.', '[SEP]']\n",
+      "Filtered   (023): ['pierre', 'vin', '##ken', ',', '61', 'years', 'old', ',', 'will', 'join', 'the', 'board', 'as', 'a', 'none', '##x', '##ec', '##utive', 'director', 'nov', '.', '29', '.']\n",
+      "Detokenized (018): ['pierre', 'vin##ken', ',', '61', 'years', 'old', ',', 'will', 'join', 'the', 'board', 'as', 'a', 'none##x##ec##utive', 'director', 'nov.', '29', '.']\n",
+      "Counter: 23\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 18, 768)\n",
+      "# Extracted words:  18\n",
+      "Sentence         : \"Mr. Vinken is chairman of Elsevier N.V. , the Dutch publishing group .\"\n",
+      "Original    (013): ['Mr.', 'Vinken', 'is', 'chairman', 'of', 'Elsevier', 'N.V.', ',', 'the', 'Dutch', 'publishing', 'group', '.']\n",
+      "Tokenized   (021): ['[CLS]', 'mr', '.', 'vin', '##ken', 'is', 'chairman', 'of', 'else', '##vier', 'n', '.', 'v', '.', ',', 'the', 'dutch', 'publishing', 'group', '.', '[SEP]']\n",
+      "Filtered   (019): ['mr', '.', 'vin', '##ken', 'is', 'chairman', 'of', 'else', '##vier', 'n', '.', 'v', '.', ',', 'the', 'dutch', 'publishing', 'group', '.']\n",
+      "Detokenized (013): ['mr.', 'vin##ken', 'is', 'chairman', 'of', 'else##vier', 'n.v.', ',', 'the', 'dutch', 'publishing', 'group', '.']\n",
+      "Counter: 19\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 13, 768)\n",
+      "# Extracted words:  13\n",
+      "Sentence         : \"Rudolph Agnew , 55 years old and former chairman of Consolidated Gold Fields PLC , was named a nonexecutive director of this British industrial conglomerate .\"\n",
+      "Original    (026): ['Rudolph', 'Agnew', ',', '55', 'years', 'old', 'and', 'former', 'chairman', 'of', 'Consolidated', 'Gold', 'Fields', 'PLC', ',', 'was', 'named', 'a', 'nonexecutive', 'director', 'of', 'this', 'British', 'industrial', 'conglomerate', '.']\n",
+      "Tokenized   (033): ['[CLS]', 'rudolph', 'ag', '##ne', '##w', ',', '55', 'years', 'old', 'and', 'former', 'chairman', 'of', 'consolidated', 'gold', 'fields', 'plc', ',', 'was', 'named', 'a', 'none', '##x', '##ec', '##utive', 'director', 'of', 'this', 'british', 'industrial', 'conglomerate', '.', '[SEP]']\n",
+      "Filtered   (031): ['rudolph', 'ag', '##ne', '##w', ',', '55', 'years', 'old', 'and', 'former', 'chairman', 'of', 'consolidated', 'gold', 'fields', 'plc', ',', 'was', 'named', 'a', 'none', '##x', '##ec', '##utive', 'director', 'of', 'this', 'british', 'industrial', 'conglomerate', '.']\n",
+      "Detokenized (026): ['rudolph', 'ag##ne##w', ',', '55', 'years', 'old', 'and', 'former', 'chairman', 'of', 'consolidated', 'gold', 'fields', 'plc', ',', 'was', 'named', 'a', 'none##x##ec##utive', 'director', 'of', 'this', 'british', 'industrial', 'conglomerate', '.']\n",
+      "Counter: 31\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 26, 768)\n",
+      "# Extracted words:  26\n",
+      "Sentence         : \"A form of asbestos once used to make Kent cigarette filters has caused a high percentage of cancer deaths among a group of workers exposed to it more than 30 years ago , researchers reported .\"\n",
+      "Original    (036): ['A', 'form', 'of', 'asbestos', 'once', 'used', 'to', 'make', 'Kent', 'cigarette', 'filters', 'has', 'caused', 'a', 'high', 'percentage', 'of', 'cancer', 'deaths', 'among', 'a', 'group', 'of', 'workers', 'exposed', 'to', 'it', 'more', 'than', '30', 'years', 'ago', ',', 'researchers', 'reported', '.']\n",
+      "Tokenized   (038): ['[CLS]', 'a', 'form', 'of', 'asbestos', 'once', 'used', 'to', 'make', 'kent', 'cigarette', 'filters', 'has', 'caused', 'a', 'high', 'percentage', 'of', 'cancer', 'deaths', 'among', 'a', 'group', 'of', 'workers', 'exposed', 'to', 'it', 'more', 'than', '30', 'years', 'ago', ',', 'researchers', 'reported', '.', '[SEP]']\n",
+      "Filtered   (036): ['a', 'form', 'of', 'asbestos', 'once', 'used', 'to', 'make', 'kent', 'cigarette', 'filters', 'has', 'caused', 'a', 'high', 'percentage', 'of', 'cancer', 'deaths', 'among', 'a', 'group', 'of', 'workers', 'exposed', 'to', 'it', 'more', 'than', '30', 'years', 'ago', ',', 'researchers', 'reported', '.']\n",
+      "Detokenized (036): ['a', 'form', 'of', 'asbestos', 'once', 'used', 'to', 'make', 'kent', 'cigarette', 'filters', 'has', 'caused', 'a', 'high', 'percentage', 'of', 'cancer', 'deaths', 'among', 'a', 'group', 'of', 'workers', 'exposed', 'to', 'it', 'more', 'than', '30', 'years', 'ago', ',', 'researchers', 'reported', '.']\n",
+      "Counter: 36\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 36, 768)\n",
+      "# Extracted words:  36\n",
+      "Sentence         : \"The asbestos fiber , crocidolite , is unusually resilient once it enters the lungs , with even brief exposures to it causing symptoms that show up decades later , researchers said .\"\n",
+      "Original    (032): ['The', 'asbestos', 'fiber', ',', 'crocidolite', ',', 'is', 'unusually', 'resilient', 'once', 'it', 'enters', 'the', 'lungs', ',', 'with', 'even', 'brief', 'exposures', 'to', 'it', 'causing', 'symptoms', 'that', 'show', 'up', 'decades', 'later', ',', 'researchers', 'said', '.']\n",
+      "Tokenized   (040): ['[CLS]', 'the', 'asbestos', 'fiber', ',', 'cr', '##oc', '##ido', '##lite', ',', 'is', 'unusually', 'res', '##ili', '##ent', 'once', 'it', 'enters', 'the', 'lungs', ',', 'with', 'even', 'brief', 'exposure', '##s', 'to', 'it', 'causing', 'symptoms', 'that', 'show', 'up', 'decades', 'later', ',', 'researchers', 'said', '.', '[SEP]']\n",
+      "Filtered   (038): ['the', 'asbestos', 'fiber', ',', 'cr', '##oc', '##ido', '##lite', ',', 'is', 'unusually', 'res', '##ili', '##ent', 'once', 'it', 'enters', 'the', 'lungs', ',', 'with', 'even', 'brief', 'exposure', '##s', 'to', 'it', 'causing', 'symptoms', 'that', 'show', 'up', 'decades', 'later', ',', 'researchers', 'said', '.']\n",
+      "Detokenized (032): ['the', 'asbestos', 'fiber', ',', 'cr##oc##ido##lite', ',', 'is', 'unusually', 'res##ili##ent', 'once', 'it', 'enters', 'the', 'lungs', ',', 'with', 'even', 'brief', 'exposure##s', 'to', 'it', 'causing', 'symptoms', 'that', 'show', 'up', 'decades', 'later', ',', 'researchers', 'said', '.']\n",
+      "Counter: 38\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 32, 768)\n",
+      "# Extracted words:  32\n",
+      "Sentence         : \"Lorillard Inc. , the unit of New York-based Loews Corp. that makes Kent cigarettes , stopped using crocidolite in its Micronite cigarette filters in 1956 .\"\n",
+      "Original    (026): ['Lorillard', 'Inc.', ',', 'the', 'unit', 'of', 'New', 'York-based', 'Loews', 'Corp.', 'that', 'makes', 'Kent', 'cigarettes', ',', 'stopped', 'using', 'crocidolite', 'in', 'its', 'Micronite', 'cigarette', 'filters', 'in', '1956', '.']\n",
+      "Tokenized   (041): ['[CLS]', 'lori', '##llar', '##d', 'inc', '.', ',', 'the', 'unit', 'of', 'new', 'york', '-', 'based', 'lo', '##ew', '##s', 'corp', '.', 'that', 'makes', 'kent', 'cigarettes', ',', 'stopped', 'using', 'cr', '##oc', '##ido', '##lite', 'in', 'its', 'micro', '##ni', '##te', 'cigarette', 'filters', 'in', '1956', '.', '[SEP]']\n",
+      "Filtered   (039): ['lori', '##llar', '##d', 'inc', '.', ',', 'the', 'unit', 'of', 'new', 'york', '-', 'based', 'lo', '##ew', '##s', 'corp', '.', 'that', 'makes', 'kent', 'cigarettes', ',', 'stopped', 'using', 'cr', '##oc', '##ido', '##lite', 'in', 'its', 'micro', '##ni', '##te', 'cigarette', 'filters', 'in', '1956', '.']\n",
+      "Detokenized (026): ['lori##llar##d', 'inc.', ',', 'the', 'unit', 'of', 'new', 'york-based', 'lo##ew##s', 'corp.', 'that', 'makes', 'kent', 'cigarettes', ',', 'stopped', 'using', 'cr##oc##ido##lite', 'in', 'its', 'micro##ni##te', 'cigarette', 'filters', 'in', '1956', '.']\n",
+      "Counter: 39\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 26, 768)\n",
+      "# Extracted words:  26\n",
+      "Sentence         : \"Although preliminary findings were reported more than a year ago , the latest results appear in today 's New England Journal of Medicine , a forum likely to bring new attention to the problem .\"\n",
+      "Original    (035): ['Although', 'preliminary', 'findings', 'were', 'reported', 'more', 'than', 'a', 'year', 'ago', ',', 'the', 'latest', 'results', 'appear', 'in', 'today', \"'s\", 'New', 'England', 'Journal', 'of', 'Medicine', ',', 'a', 'forum', 'likely', 'to', 'bring', 'new', 'attention', 'to', 'the', 'problem', '.']\n",
+      "Tokenized   (038): ['[CLS]', 'although', 'preliminary', 'findings', 'were', 'reported', 'more', 'than', 'a', 'year', 'ago', ',', 'the', 'latest', 'results', 'appear', 'in', 'today', \"'\", 's', 'new', 'england', 'journal', 'of', 'medicine', ',', 'a', 'forum', 'likely', 'to', 'bring', 'new', 'attention', 'to', 'the', 'problem', '.', '[SEP]']\n",
+      "Filtered   (036): ['although', 'preliminary', 'findings', 'were', 'reported', 'more', 'than', 'a', 'year', 'ago', ',', 'the', 'latest', 'results', 'appear', 'in', 'today', \"'\", 's', 'new', 'england', 'journal', 'of', 'medicine', ',', 'a', 'forum', 'likely', 'to', 'bring', 'new', 'attention', 'to', 'the', 'problem', '.']\n",
+      "Detokenized (035): ['although', 'preliminary', 'findings', 'were', 'reported', 'more', 'than', 'a', 'year', 'ago', ',', 'the', 'latest', 'results', 'appear', 'in', 'today', \"'s\", 'new', 'england', 'journal', 'of', 'medicine', ',', 'a', 'forum', 'likely', 'to', 'bring', 'new', 'attention', 'to', 'the', 'problem', '.']\n",
+      "Counter: 36\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 35, 768)\n",
+      "# Extracted words:  35\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Sentence         : \"A Lorillard spokewoman said , `` This is an old story .\"\n",
+      "Original    (012): ['A', 'Lorillard', 'spokewoman', 'said', ',', '``', 'This', 'is', 'an', 'old', 'story', '.']\n",
+      "Tokenized   (018): ['[CLS]', 'a', 'lori', '##llar', '##d', 'spoke', '##woman', 'said', ',', '`', '`', 'this', 'is', 'an', 'old', 'story', '.', '[SEP]']\n",
+      "Filtered   (016): ['a', 'lori', '##llar', '##d', 'spoke', '##woman', 'said', ',', '`', '`', 'this', 'is', 'an', 'old', 'story', '.']\n",
+      "Detokenized (012): ['a', 'lori##llar##d', 'spoke##woman', 'said', ',', '``', 'this', 'is', 'an', 'old', 'story', '.']\n",
+      "Counter: 16\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 12, 768)\n",
+      "# Extracted words:  12\n",
+      "Sentence         : \"We 're talking about years ago before anyone heard of asbestos having any questionable properties .\"\n",
+      "Original    (016): ['We', \"'re\", 'talking', 'about', 'years', 'ago', 'before', 'anyone', 'heard', 'of', 'asbestos', 'having', 'any', 'questionable', 'properties', '.']\n",
+      "Tokenized   (019): ['[CLS]', 'we', \"'\", 're', 'talking', 'about', 'years', 'ago', 'before', 'anyone', 'heard', 'of', 'asbestos', 'having', 'any', 'questionable', 'properties', '.', '[SEP]']\n",
+      "Filtered   (017): ['we', \"'\", 're', 'talking', 'about', 'years', 'ago', 'before', 'anyone', 'heard', 'of', 'asbestos', 'having', 'any', 'questionable', 'properties', '.']\n",
+      "Detokenized (016): ['we', \"'re\", 'talking', 'about', 'years', 'ago', 'before', 'anyone', 'heard', 'of', 'asbestos', 'having', 'any', 'questionable', 'properties', '.']\n",
+      "Counter: 17\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 16, 768)\n",
+      "# Extracted words:  16\n",
+      "Sentence         : \"There is no asbestos in our products now . ''\"\n",
+      "Original    (010): ['There', 'is', 'no', 'asbestos', 'in', 'our', 'products', 'now', '.', \"''\"]\n",
+      "Tokenized   (013): ['[CLS]', 'there', 'is', 'no', 'asbestos', 'in', 'our', 'products', 'now', '.', \"'\", \"'\", '[SEP]']\n",
+      "Filtered   (011): ['there', 'is', 'no', 'asbestos', 'in', 'our', 'products', 'now', '.', \"'\", \"'\"]\n",
+      "Detokenized (010): ['there', 'is', 'no', 'asbestos', 'in', 'our', 'products', 'now', '.', \"''\"]\n",
+      "Counter: 11\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 10, 768)\n",
+      "# Extracted words:  10\n"
+     ]
+    }
+   ],
+   "source": [
+    "# extract activations for the train sentences \n",
+    "transformers_extractor.extract_representations('bert-base-uncased',\n",
+    "    train_sentences,\n",
+    "    'train_activations.json',\n",
+    "    aggregation=\"average\" #last, first\n",
+    ")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "id": "85457952",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Loading model: bert-base-uncased\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "Some weights of the model checkpoint at bert-base-uncased were not used when initializing BertModel: ['cls.predictions.decoder.weight', 'cls.predictions.transform.dense.bias', 'cls.predictions.bias', 'cls.seq_relationship.weight', 'cls.predictions.transform.LayerNorm.bias', 'cls.predictions.transform.dense.weight', 'cls.predictions.transform.LayerNorm.weight', 'cls.seq_relationship.bias']\n",
+      "- This IS expected if you are initializing BertModel from the checkpoint of a model trained on another task or with another architecture (e.g. initializing a BertForSequenceClassification model from a BertForPreTraining model).\n",
+      "- This IS NOT expected if you are initializing BertModel from the checkpoint of a model that you expect to be exactly identical (initializing a BertForSequenceClassification model from a BertForSequenceClassification model).\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Reading input corpus\n",
+      "Preparing output file\n",
+      "Extracting representations from model\n",
+      "Sentence         : \"The Arizona Corporations Commission authorized an 11.5 % rate increase at Tucson Electric Power Co. , substantially lower than recommended last month by a commission hearing officer and barely half the rise sought by the utility .\"\n",
+      "Original    (037): ['The', 'Arizona', 'Corporations', 'Commission', 'authorized', 'an', '11.5', '%', 'rate', 'increase', 'at', 'Tucson', 'Electric', 'Power', 'Co.', ',', 'substantially', 'lower', 'than', 'recommended', 'last', 'month', 'by', 'a', 'commission', 'hearing', 'officer', 'and', 'barely', 'half', 'the', 'rise', 'sought', 'by', 'the', 'utility', '.']\n",
+      "Tokenized   (042): ['[CLS]', 'the', 'arizona', 'corporations', 'commission', 'authorized', 'an', '11', '.', '5', '%', 'rate', 'increase', 'at', 'tucson', 'electric', 'power', 'co', '.', ',', 'substantially', 'lower', 'than', 'recommended', 'last', 'month', 'by', 'a', 'commission', 'hearing', 'officer', 'and', 'barely', 'half', 'the', 'rise', 'sought', 'by', 'the', 'utility', '.', '[SEP]']\n",
+      "Filtered   (040): ['the', 'arizona', 'corporations', 'commission', 'authorized', 'an', '11', '.', '5', '%', 'rate', 'increase', 'at', 'tucson', 'electric', 'power', 'co', '.', ',', 'substantially', 'lower', 'than', 'recommended', 'last', 'month', 'by', 'a', 'commission', 'hearing', 'officer', 'and', 'barely', 'half', 'the', 'rise', 'sought', 'by', 'the', 'utility', '.']\n",
+      "Detokenized (037): ['the', 'arizona', 'corporations', 'commission', 'authorized', 'an', '11.5', '%', 'rate', 'increase', 'at', 'tucson', 'electric', 'power', 'co.', ',', 'substantially', 'lower', 'than', 'recommended', 'last', 'month', 'by', 'a', 'commission', 'hearing', 'officer', 'and', 'barely', 'half', 'the', 'rise', 'sought', 'by', 'the', 'utility', '.']\n",
+      "Counter: 40\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 37, 768)\n",
+      "# Extracted words:  37\n",
+      "Sentence         : \"The ruling follows a host of problems at Tucson Electric , including major write-downs , a 60 % slash in the common stock dividend and the departure of former Chairman Einar Greve during a company investigation of his stock sales .\"\n",
+      "Original    (041): ['The', 'ruling', 'follows', 'a', 'host', 'of', 'problems', 'at', 'Tucson', 'Electric', ',', 'including', 'major', 'write-downs', ',', 'a', '60', '%', 'slash', 'in', 'the', 'common', 'stock', 'dividend', 'and', 'the', 'departure', 'of', 'former', 'Chairman', 'Einar', 'Greve', 'during', 'a', 'company', 'investigation', 'of', 'his', 'stock', 'sales', '.']\n",
+      "Tokenized   (048): ['[CLS]', 'the', 'ruling', 'follows', 'a', 'host', 'of', 'problems', 'at', 'tucson', 'electric', ',', 'including', 'major', 'write', '-', 'downs', ',', 'a', '60', '%', 'slash', 'in', 'the', 'common', 'stock', 'divide', '##nd', 'and', 'the', 'departure', 'of', 'former', 'chairman', 'ein', '##ar', 'gr', '##eve', 'during', 'a', 'company', 'investigation', 'of', 'his', 'stock', 'sales', '.', '[SEP]']\n",
+      "Filtered   (046): ['the', 'ruling', 'follows', 'a', 'host', 'of', 'problems', 'at', 'tucson', 'electric', ',', 'including', 'major', 'write', '-', 'downs', ',', 'a', '60', '%', 'slash', 'in', 'the', 'common', 'stock', 'divide', '##nd', 'and', 'the', 'departure', 'of', 'former', 'chairman', 'ein', '##ar', 'gr', '##eve', 'during', 'a', 'company', 'investigation', 'of', 'his', 'stock', 'sales', '.']\n",
+      "Detokenized (041): ['the', 'ruling', 'follows', 'a', 'host', 'of', 'problems', 'at', 'tucson', 'electric', ',', 'including', 'major', 'write-downs', ',', 'a', '60', '%', 'slash', 'in', 'the', 'common', 'stock', 'divide##nd', 'and', 'the', 'departure', 'of', 'former', 'chairman', 'ein##ar', 'gr##eve', 'during', 'a', 'company', 'investigation', 'of', 'his', 'stock', 'sales', '.']\n",
+      "Counter: 46\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 41, 768)\n",
+      "# Extracted words:  41\n",
+      "Sentence         : \"The Arizona regulatory ruling calls for $ 42 million in added revenue yearly , compared with a $ 57 million boost proposed by the commission hearing officer .\"\n",
+      "Original    (028): ['The', 'Arizona', 'regulatory', 'ruling', 'calls', 'for', '$', '42', 'million', 'in', 'added', 'revenue', 'yearly', ',', 'compared', 'with', 'a', '$', '57', 'million', 'boost', 'proposed', 'by', 'the', 'commission', 'hearing', 'officer', '.']\n",
+      "Tokenized   (030): ['[CLS]', 'the', 'arizona', 'regulatory', 'ruling', 'calls', 'for', '$', '42', 'million', 'in', 'added', 'revenue', 'yearly', ',', 'compared', 'with', 'a', '$', '57', 'million', 'boost', 'proposed', 'by', 'the', 'commission', 'hearing', 'officer', '.', '[SEP]']\n",
+      "Filtered   (028): ['the', 'arizona', 'regulatory', 'ruling', 'calls', 'for', '$', '42', 'million', 'in', 'added', 'revenue', 'yearly', ',', 'compared', 'with', 'a', '$', '57', 'million', 'boost', 'proposed', 'by', 'the', 'commission', 'hearing', 'officer', '.']\n",
+      "Detokenized (028): ['the', 'arizona', 'regulatory', 'ruling', 'calls', 'for', '$', '42', 'million', 'in', 'added', 'revenue', 'yearly', ',', 'compared', 'with', 'a', '$', '57', 'million', 'boost', 'proposed', 'by', 'the', 'commission', 'hearing', 'officer', '.']\n",
+      "Counter: 28\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 28, 768)\n",
+      "# Extracted words:  28\n",
+      "Sentence         : \"The company had sought increases totaling $ 80.3 million , or 22 % .\"\n",
+      "Original    (014): ['The', 'company', 'had', 'sought', 'increases', 'totaling', '$', '80.3', 'million', ',', 'or', '22', '%', '.']\n",
+      "Tokenized   (018): ['[CLS]', 'the', 'company', 'had', 'sought', 'increases', 'totaling', '$', '80', '.', '3', 'million', ',', 'or', '22', '%', '.', '[SEP]']\n",
+      "Filtered   (016): ['the', 'company', 'had', 'sought', 'increases', 'totaling', '$', '80', '.', '3', 'million', ',', 'or', '22', '%', '.']\n",
+      "Detokenized (014): ['the', 'company', 'had', 'sought', 'increases', 'totaling', '$', '80.3', 'million', ',', 'or', '22', '%', '.']\n",
+      "Counter: 16\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 14, 768)\n",
+      "# Extracted words:  14\n",
+      "Sentence         : \"The decision was announced after trading ended .\"\n",
+      "Original    (008): ['The', 'decision', 'was', 'announced', 'after', 'trading', 'ended', '.']\n",
+      "Tokenized   (010): ['[CLS]', 'the', 'decision', 'was', 'announced', 'after', 'trading', 'ended', '.', '[SEP]']\n",
+      "Filtered   (008): ['the', 'decision', 'was', 'announced', 'after', 'trading', 'ended', '.']\n",
+      "Detokenized (008): ['the', 'decision', 'was', 'announced', 'after', 'trading', 'ended', '.']\n",
+      "Counter: 8\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 8, 768)\n",
+      "# Extracted words:  8\n",
+      "Sentence         : \"Tucson Electric closed at $ 20.875 a share , down 25 cents , in New York Stock Exchange composite trading .\"\n",
+      "Original    (021): ['Tucson', 'Electric', 'closed', 'at', '$', '20.875', 'a', 'share', ',', 'down', '25', 'cents', ',', 'in', 'New', 'York', 'Stock', 'Exchange', 'composite', 'trading', '.']\n",
+      "Tokenized   (025): ['[CLS]', 'tucson', 'electric', 'closed', 'at', '$', '20', '.', '875', 'a', 'share', ',', 'down', '25', 'cents', ',', 'in', 'new', 'york', 'stock', 'exchange', 'composite', 'trading', '.', '[SEP]']\n",
+      "Filtered   (023): ['tucson', 'electric', 'closed', 'at', '$', '20', '.', '875', 'a', 'share', ',', 'down', '25', 'cents', ',', 'in', 'new', 'york', 'stock', 'exchange', 'composite', 'trading', '.']\n",
+      "Detokenized (021): ['tucson', 'electric', 'closed', 'at', '$', '20.875', 'a', 'share', ',', 'down', '25', 'cents', ',', 'in', 'new', 'york', 'stock', 'exchange', 'composite', 'trading', '.']\n",
+      "Counter: 23\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 21, 768)\n",
+      "# Extracted words:  21\n",
+      "Sentence         : \"A Tucson Electric spokesman said the utility was disappointed by the commission 's decision and `` concerned about the financial integrity of the company .\"\n",
+      "Original    (025): ['A', 'Tucson', 'Electric', 'spokesman', 'said', 'the', 'utility', 'was', 'disappointed', 'by', 'the', 'commission', \"'s\", 'decision', 'and', '``', 'concerned', 'about', 'the', 'financial', 'integrity', 'of', 'the', 'company', '.']\n",
+      "Tokenized   (029): ['[CLS]', 'a', 'tucson', 'electric', 'spokesman', 'said', 'the', 'utility', 'was', 'disappointed', 'by', 'the', 'commission', \"'\", 's', 'decision', 'and', '`', '`', 'concerned', 'about', 'the', 'financial', 'integrity', 'of', 'the', 'company', '.', '[SEP]']\n",
+      "Filtered   (027): ['a', 'tucson', 'electric', 'spokesman', 'said', 'the', 'utility', 'was', 'disappointed', 'by', 'the', 'commission', \"'\", 's', 'decision', 'and', '`', '`', 'concerned', 'about', 'the', 'financial', 'integrity', 'of', 'the', 'company', '.']\n",
+      "Detokenized (025): ['a', 'tucson', 'electric', 'spokesman', 'said', 'the', 'utility', 'was', 'disappointed', 'by', 'the', 'commission', \"'s\", 'decision', 'and', '``', 'concerned', 'about', 'the', 'financial', 'integrity', 'of', 'the', 'company', '.']\n",
+      "Counter: 27\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 25, 768)\n",
+      "# Extracted words:  25\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Sentence         : \"South Korean President Roh Tae Woo , brushing aside suggestions that the won be revalued again , said the currency 's current level against the dollar is `` appropriate . ''\"\n",
+      "Original    (031): ['South', 'Korean', 'President', 'Roh', 'Tae', 'Woo', ',', 'brushing', 'aside', 'suggestions', 'that', 'the', 'won', 'be', 'revalued', 'again', ',', 'said', 'the', 'currency', \"'s\", 'current', 'level', 'against', 'the', 'dollar', 'is', '``', 'appropriate', '.', \"''\"]\n",
+      "Tokenized   (040): ['[CLS]', 'south', 'korean', 'president', 'ro', '##h', 'tae', 'woo', ',', 'brushing', 'aside', 'suggestions', 'that', 'the', 'won', 'be', 'rev', '##al', '##ue', '##d', 'again', ',', 'said', 'the', 'currency', \"'\", 's', 'current', 'level', 'against', 'the', 'dollar', 'is', '`', '`', 'appropriate', '.', \"'\", \"'\", '[SEP]']\n",
+      "Filtered   (038): ['south', 'korean', 'president', 'ro', '##h', 'tae', 'woo', ',', 'brushing', 'aside', 'suggestions', 'that', 'the', 'won', 'be', 'rev', '##al', '##ue', '##d', 'again', ',', 'said', 'the', 'currency', \"'\", 's', 'current', 'level', 'against', 'the', 'dollar', 'is', '`', '`', 'appropriate', '.', \"'\", \"'\"]\n",
+      "Detokenized (031): ['south', 'korean', 'president', 'ro##h', 'tae', 'woo', ',', 'brushing', 'aside', 'suggestions', 'that', 'the', 'won', 'be', 'rev##al##ue##d', 'again', ',', 'said', 'the', 'currency', \"'s\", 'current', 'level', 'against', 'the', 'dollar', 'is', '``', 'appropriate', '.', \"''\"]\n",
+      "Counter: 38\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 31, 768)\n",
+      "# Extracted words:  31\n",
+      "Sentence         : \"His comments , made in response to reporters ' questions at the National Press Club here , signaled that Seoul is resisting U.S. pressure for a further rise in the currency 's value .\"\n",
+      "Original    (034): ['His', 'comments', ',', 'made', 'in', 'response', 'to', 'reporters', \"'\", 'questions', 'at', 'the', 'National', 'Press', 'Club', 'here', ',', 'signaled', 'that', 'Seoul', 'is', 'resisting', 'U.S.', 'pressure', 'for', 'a', 'further', 'rise', 'in', 'the', 'currency', \"'s\", 'value', '.']\n",
+      "Tokenized   (040): ['[CLS]', 'his', 'comments', ',', 'made', 'in', 'response', 'to', 'reporters', \"'\", 'questions', 'at', 'the', 'national', 'press', 'club', 'here', ',', 'signaled', 'that', 'seoul', 'is', 'resisting', 'u', '.', 's', '.', 'pressure', 'for', 'a', 'further', 'rise', 'in', 'the', 'currency', \"'\", 's', 'value', '.', '[SEP]']\n",
+      "Filtered   (038): ['his', 'comments', ',', 'made', 'in', 'response', 'to', 'reporters', \"'\", 'questions', 'at', 'the', 'national', 'press', 'club', 'here', ',', 'signaled', 'that', 'seoul', 'is', 'resisting', 'u', '.', 's', '.', 'pressure', 'for', 'a', 'further', 'rise', 'in', 'the', 'currency', \"'\", 's', 'value', '.']\n",
+      "Detokenized (034): ['his', 'comments', ',', 'made', 'in', 'response', 'to', 'reporters', \"'\", 'questions', 'at', 'the', 'national', 'press', 'club', 'here', ',', 'signaled', 'that', 'seoul', 'is', 'resisting', 'u.s.', 'pressure', 'for', 'a', 'further', 'rise', 'in', 'the', 'currency', \"'s\", 'value', '.']\n",
+      "Counter: 38\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 34, 768)\n",
+      "# Extracted words:  34\n",
+      "Sentence         : \"The U.S. wants a higher won to make South Korea 's exports more expensive and help trim Seoul 's trade surplus .\"\n",
+      "Original    (022): ['The', 'U.S.', 'wants', 'a', 'higher', 'won', 'to', 'make', 'South', 'Korea', \"'s\", 'exports', 'more', 'expensive', 'and', 'help', 'trim', 'Seoul', \"'s\", 'trade', 'surplus', '.']\n",
+      "Tokenized   (029): ['[CLS]', 'the', 'u', '.', 's', '.', 'wants', 'a', 'higher', 'won', 'to', 'make', 'south', 'korea', \"'\", 's', 'exports', 'more', 'expensive', 'and', 'help', 'trim', 'seoul', \"'\", 's', 'trade', 'surplus', '.', '[SEP]']\n",
+      "Filtered   (027): ['the', 'u', '.', 's', '.', 'wants', 'a', 'higher', 'won', 'to', 'make', 'south', 'korea', \"'\", 's', 'exports', 'more', 'expensive', 'and', 'help', 'trim', 'seoul', \"'\", 's', 'trade', 'surplus', '.']\n",
+      "Detokenized (022): ['the', 'u.s.', 'wants', 'a', 'higher', 'won', 'to', 'make', 'south', 'korea', \"'s\", 'exports', 'more', 'expensive', 'and', 'help', 'trim', 'seoul', \"'s\", 'trade', 'surplus', '.']\n",
+      "Counter: 27\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 22, 768)\n",
+      "# Extracted words:  22\n"
+     ]
+    }
+   ],
+   "source": [
+    "# extract activations for the dev sentences \n",
+    "transformers_extractor.extract_representations('bert-base-uncased',\n",
+    "    dev_sentences,\n",
+    "    'dev_activations.json',\n",
+    "    aggregation=\"average\" #last, first\n",
+    ")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "id": "065d527f",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Loading model: bert-base-uncased\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "Some weights of the model checkpoint at bert-base-uncased were not used when initializing BertModel: ['cls.predictions.decoder.weight', 'cls.predictions.transform.dense.bias', 'cls.predictions.bias', 'cls.seq_relationship.weight', 'cls.predictions.transform.LayerNorm.bias', 'cls.predictions.transform.dense.weight', 'cls.predictions.transform.LayerNorm.weight', 'cls.seq_relationship.bias']\n",
+      "- This IS expected if you are initializing BertModel from the checkpoint of a model trained on another task or with another architecture (e.g. initializing a BertForSequenceClassification model from a BertForPreTraining model).\n",
+      "- This IS NOT expected if you are initializing BertModel from the checkpoint of a model that you expect to be exactly identical (initializing a BertForSequenceClassification model from a BertForSequenceClassification model).\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Reading input corpus\n",
+      "Preparing output file\n",
+      "Extracting representations from model\n",
+      "Sentence         : \"Rockwell International Corp. 's Tulsa unit said it signed a tentative agreement extending its contract with Boeing Co. to provide structural parts for Boeing 's 747 jetliners .\"\n",
+      "Original    (028): ['Rockwell', 'International', 'Corp.', \"'s\", 'Tulsa', 'unit', 'said', 'it', 'signed', 'a', 'tentative', 'agreement', 'extending', 'its', 'contract', 'with', 'Boeing', 'Co.', 'to', 'provide', 'structural', 'parts', 'for', 'Boeing', \"'s\", '747', 'jetliners', '.']\n",
+      "Tokenized   (036): ['[CLS]', 'rockwell', 'international', 'corp', '.', \"'\", 's', 'tulsa', 'unit', 'said', 'it', 'signed', 'a', 'tentative', 'agreement', 'extending', 'its', 'contract', 'with', 'boeing', 'co', '.', 'to', 'provide', 'structural', 'parts', 'for', 'boeing', \"'\", 's', '747', 'jet', '##liner', '##s', '.', '[SEP]']\n",
+      "Filtered   (034): ['rockwell', 'international', 'corp', '.', \"'\", 's', 'tulsa', 'unit', 'said', 'it', 'signed', 'a', 'tentative', 'agreement', 'extending', 'its', 'contract', 'with', 'boeing', 'co', '.', 'to', 'provide', 'structural', 'parts', 'for', 'boeing', \"'\", 's', '747', 'jet', '##liner', '##s', '.']\n",
+      "Detokenized (028): ['rockwell', 'international', 'corp.', \"'s\", 'tulsa', 'unit', 'said', 'it', 'signed', 'a', 'tentative', 'agreement', 'extending', 'its', 'contract', 'with', 'boeing', 'co.', 'to', 'provide', 'structural', 'parts', 'for', 'boeing', \"'s\", '747', 'jet##liner##s', '.']\n",
+      "Counter: 34\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 28, 768)\n",
+      "# Extracted words:  28\n",
+      "Sentence         : \"Rockwell said the agreement calls for it to supply 200 additional so-called shipsets for the planes .\"\n",
+      "Original    (017): ['Rockwell', 'said', 'the', 'agreement', 'calls', 'for', 'it', 'to', 'supply', '200', 'additional', 'so-called', 'shipsets', 'for', 'the', 'planes', '.']\n",
+      "Tokenized   (022): ['[CLS]', 'rockwell', 'said', 'the', 'agreement', 'calls', 'for', 'it', 'to', 'supply', '200', 'additional', 'so', '-', 'called', 'ships', '##ets', 'for', 'the', 'planes', '.', '[SEP]']\n",
+      "Filtered   (020): ['rockwell', 'said', 'the', 'agreement', 'calls', 'for', 'it', 'to', 'supply', '200', 'additional', 'so', '-', 'called', 'ships', '##ets', 'for', 'the', 'planes', '.']\n",
+      "Detokenized (017): ['rockwell', 'said', 'the', 'agreement', 'calls', 'for', 'it', 'to', 'supply', '200', 'additional', 'so-called', 'ships##ets', 'for', 'the', 'planes', '.']\n",
+      "Counter: 20\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 17, 768)\n",
+      "# Extracted words:  17\n",
+      "Sentence         : \"These include , among other parts , each jetliner 's two major bulkheads , a pressure floor , torque box , fixed leading edges for the wings and an aft keel beam .\"\n",
+      "Original    (033): ['These', 'include', ',', 'among', 'other', 'parts', ',', 'each', 'jetliner', \"'s\", 'two', 'major', 'bulkheads', ',', 'a', 'pressure', 'floor', ',', 'torque', 'box', ',', 'fixed', 'leading', 'edges', 'for', 'the', 'wings', 'and', 'an', 'aft', 'keel', 'beam', '.']\n",
+      "Tokenized   (038): ['[CLS]', 'these', 'include', ',', 'among', 'other', 'parts', ',', 'each', 'jet', '##liner', \"'\", 's', 'two', 'major', 'bulk', '##heads', ',', 'a', 'pressure', 'floor', ',', 'torque', 'box', ',', 'fixed', 'leading', 'edges', 'for', 'the', 'wings', 'and', 'an', 'aft', 'keel', 'beam', '.', '[SEP]']\n",
+      "Filtered   (036): ['these', 'include', ',', 'among', 'other', 'parts', ',', 'each', 'jet', '##liner', \"'\", 's', 'two', 'major', 'bulk', '##heads', ',', 'a', 'pressure', 'floor', ',', 'torque', 'box', ',', 'fixed', 'leading', 'edges', 'for', 'the', 'wings', 'and', 'an', 'aft', 'keel', 'beam', '.']\n",
+      "Detokenized (033): ['these', 'include', ',', 'among', 'other', 'parts', ',', 'each', 'jet##liner', \"'s\", 'two', 'major', 'bulk##heads', ',', 'a', 'pressure', 'floor', ',', 'torque', 'box', ',', 'fixed', 'leading', 'edges', 'for', 'the', 'wings', 'and', 'an', 'aft', 'keel', 'beam', '.']\n",
+      "Counter: 36\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 33, 768)\n",
+      "# Extracted words:  33\n",
+      "Sentence         : \"Under the existing contract , Rockwell said , it has already delivered 793 of the shipsets to Boeing .\"\n",
+      "Original    (019): ['Under', 'the', 'existing', 'contract', ',', 'Rockwell', 'said', ',', 'it', 'has', 'already', 'delivered', '793', 'of', 'the', 'shipsets', 'to', 'Boeing', '.']\n",
+      "Tokenized   (023): ['[CLS]', 'under', 'the', 'existing', 'contract', ',', 'rockwell', 'said', ',', 'it', 'has', 'already', 'delivered', '79', '##3', 'of', 'the', 'ships', '##ets', 'to', 'boeing', '.', '[SEP]']\n",
+      "Filtered   (021): ['under', 'the', 'existing', 'contract', ',', 'rockwell', 'said', ',', 'it', 'has', 'already', 'delivered', '79', '##3', 'of', 'the', 'ships', '##ets', 'to', 'boeing', '.']\n",
+      "Detokenized (019): ['under', 'the', 'existing', 'contract', ',', 'rockwell', 'said', ',', 'it', 'has', 'already', 'delivered', '79##3', 'of', 'the', 'ships##ets', 'to', 'boeing', '.']\n",
+      "Counter: 21\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 19, 768)\n",
+      "# Extracted words:  19\n",
+      "Sentence         : \"Rockwell , based in El Segundo , Calif. , is an aerospace , electronics , automotive and graphics concern .\"\n",
+      "Original    (020): ['Rockwell', ',', 'based', 'in', 'El', 'Segundo', ',', 'Calif.', ',', 'is', 'an', 'aerospace', ',', 'electronics', ',', 'automotive', 'and', 'graphics', 'concern', '.']\n",
+      "Tokenized   (026): ['[CLS]', 'rockwell', ',', 'based', 'in', 'el', 'se', '##gun', '##do', ',', 'cal', '##if', '.', ',', 'is', 'an', 'aerospace', ',', 'electronics', ',', 'automotive', 'and', 'graphics', 'concern', '.', '[SEP]']\n",
+      "Filtered   (024): ['rockwell', ',', 'based', 'in', 'el', 'se', '##gun', '##do', ',', 'cal', '##if', '.', ',', 'is', 'an', 'aerospace', ',', 'electronics', ',', 'automotive', 'and', 'graphics', 'concern', '.']\n",
+      "Detokenized (020): ['rockwell', ',', 'based', 'in', 'el', 'se##gun##do', ',', 'cal##if.', ',', 'is', 'an', 'aerospace', ',', 'electronics', ',', 'automotive', 'and', 'graphics', 'concern', '.']\n",
+      "Counter: 24\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 20, 768)\n",
+      "# Extracted words:  20\n",
+      "Sentence         : \"Frank Carlucci III was named to this telecommunications company 's board , filling the vacancy created by the death of William Sobey last May .\"\n",
+      "Original    (025): ['Frank', 'Carlucci', 'III', 'was', 'named', 'to', 'this', 'telecommunications', 'company', \"'s\", 'board', ',', 'filling', 'the', 'vacancy', 'created', 'by', 'the', 'death', 'of', 'William', 'Sobey', 'last', 'May', '.']\n",
+      "Tokenized   (030): ['[CLS]', 'frank', 'carl', '##ucci', 'iii', 'was', 'named', 'to', 'this', 'telecommunications', 'company', \"'\", 's', 'board', ',', 'filling', 'the', 'vacancy', 'created', 'by', 'the', 'death', 'of', 'william', 'sob', '##ey', 'last', 'may', '.', '[SEP]']\n",
+      "Filtered   (028): ['frank', 'carl', '##ucci', 'iii', 'was', 'named', 'to', 'this', 'telecommunications', 'company', \"'\", 's', 'board', ',', 'filling', 'the', 'vacancy', 'created', 'by', 'the', 'death', 'of', 'william', 'sob', '##ey', 'last', 'may', '.']\n",
+      "Detokenized (025): ['frank', 'carl##ucci', 'iii', 'was', 'named', 'to', 'this', 'telecommunications', 'company', \"'s\", 'board', ',', 'filling', 'the', 'vacancy', 'created', 'by', 'the', 'death', 'of', 'william', 'sob##ey', 'last', 'may', '.']\n",
+      "Counter: 28\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 25, 768)\n",
+      "# Extracted words:  25\n",
+      "Sentence         : \"Mr. Carlucci , 59 years old , served as defense secretary in the Reagan administration .\"\n",
+      "Original    (016): ['Mr.', 'Carlucci', ',', '59', 'years', 'old', ',', 'served', 'as', 'defense', 'secretary', 'in', 'the', 'Reagan', 'administration', '.']\n",
+      "Tokenized   (020): ['[CLS]', 'mr', '.', 'carl', '##ucci', ',', '59', 'years', 'old', ',', 'served', 'as', 'defense', 'secretary', 'in', 'the', 'reagan', 'administration', '.', '[SEP]']\n",
+      "Filtered   (018): ['mr', '.', 'carl', '##ucci', ',', '59', 'years', 'old', ',', 'served', 'as', 'defense', 'secretary', 'in', 'the', 'reagan', 'administration', '.']\n",
+      "Detokenized (016): ['mr.', 'carl##ucci', ',', '59', 'years', 'old', ',', 'served', 'as', 'defense', 'secretary', 'in', 'the', 'reagan', 'administration', '.']\n",
+      "Counter: 18\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 16, 768)\n",
+      "# Extracted words:  16\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Sentence         : \"In January , he accepted the position of vice chairman of Carlyle Group , a merchant banking concern .\"\n",
+      "Original    (019): ['In', 'January', ',', 'he', 'accepted', 'the', 'position', 'of', 'vice', 'chairman', 'of', 'Carlyle', 'Group', ',', 'a', 'merchant', 'banking', 'concern', '.']\n",
+      "Tokenized   (022): ['[CLS]', 'in', 'january', ',', 'he', 'accepted', 'the', 'position', 'of', 'vice', 'chairman', 'of', 'carly', '##le', 'group', ',', 'a', 'merchant', 'banking', 'concern', '.', '[SEP]']\n",
+      "Filtered   (020): ['in', 'january', ',', 'he', 'accepted', 'the', 'position', 'of', 'vice', 'chairman', 'of', 'carly', '##le', 'group', ',', 'a', 'merchant', 'banking', 'concern', '.']\n",
+      "Detokenized (019): ['in', 'january', ',', 'he', 'accepted', 'the', 'position', 'of', 'vice', 'chairman', 'of', 'carly##le', 'group', ',', 'a', 'merchant', 'banking', 'concern', '.']\n",
+      "Counter: 20\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 19, 768)\n",
+      "# Extracted words:  19\n",
+      "Sentence         : \"SHEARSON LEHMAN HUTTON Inc .\"\n",
+      "Original    (005): ['SHEARSON', 'LEHMAN', 'HUTTON', 'Inc', '.']\n",
+      "Tokenized   (008): ['[CLS]', 'shear', '##son', 'lehman', 'hutton', 'inc', '.', '[SEP]']\n",
+      "Filtered   (006): ['shear', '##son', 'lehman', 'hutton', 'inc', '.']\n",
+      "Detokenized (005): ['shear##son', 'lehman', 'hutton', 'inc', '.']\n",
+      "Counter: 6\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 5, 768)\n",
+      "# Extracted words:  5\n",
+      "Sentence         : \"Thomas E. Meador , 42 years old , was named president and chief operating officer of Balcor Co. , a Skokie , Ill. , subsidiary of this New York investment banking firm .\"\n",
+      "Original    (033): ['Thomas', 'E.', 'Meador', ',', '42', 'years', 'old', ',', 'was', 'named', 'president', 'and', 'chief', 'operating', 'officer', 'of', 'Balcor', 'Co.', ',', 'a', 'Skokie', ',', 'Ill.', ',', 'subsidiary', 'of', 'this', 'New', 'York', 'investment', 'banking', 'firm', '.']\n",
+      "Tokenized   (042): ['[CLS]', 'thomas', 'e', '.', 'mead', '##or', ',', '42', 'years', 'old', ',', 'was', 'named', 'president', 'and', 'chief', 'operating', 'officer', 'of', 'bal', '##cor', 'co', '.', ',', 'a', 'sk', '##oki', '##e', ',', 'ill', '.', ',', 'subsidiary', 'of', 'this', 'new', 'york', 'investment', 'banking', 'firm', '.', '[SEP]']\n",
+      "Filtered   (040): ['thomas', 'e', '.', 'mead', '##or', ',', '42', 'years', 'old', ',', 'was', 'named', 'president', 'and', 'chief', 'operating', 'officer', 'of', 'bal', '##cor', 'co', '.', ',', 'a', 'sk', '##oki', '##e', ',', 'ill', '.', ',', 'subsidiary', 'of', 'this', 'new', 'york', 'investment', 'banking', 'firm', '.']\n",
+      "Detokenized (033): ['thomas', 'e.', 'mead##or', ',', '42', 'years', 'old', ',', 'was', 'named', 'president', 'and', 'chief', 'operating', 'officer', 'of', 'bal##cor', 'co.', ',', 'a', 'sk##oki##e', ',', 'ill.', ',', 'subsidiary', 'of', 'this', 'new', 'york', 'investment', 'banking', 'firm', '.']\n",
+      "Counter: 40\n",
+      "===================================================================\n",
+      "Hidden states:  (13, 33, 768)\n",
+      "# Extracted words:  33\n"
+     ]
+    }
+   ],
+   "source": [
+    "# extract activations for the test sentences \n",
+    "transformers_extractor.extract_representations('bert-base-uncased',\n",
+    "    test_sentences,\n",
+    "    'test_activations.json',\n",
+    "    aggregation=\"average\" #last, first\n",
+    ")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 9,
+   "id": "3ed4eee4",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Loading json activations from train_activations.json...\n",
+      "10 13.0\n",
+      "Number of tokens:  224\n",
+      "length of source dictionary:  142\n",
+      "length of target dictionary:  29\n",
+      "224\n",
+      "Total instances: 224\n",
+      "['likely', 'high', 'causing', 'show', 'decades', 'forum', 'later', 'Corp.', 'enters', 'as', 'Pierre', 'Lorillard', 'having', 'former', 'cigarettes', 'stopped', 'any', 'questionable', \"''\", 'properties']\n",
+      "Number of samples:  224\n",
+      "Stats: Labels with their frequencies in the final set\n",
+      "POS 1\n",
+      "MD 1\n",
+      "VBD 7\n",
+      "RBR 2\n",
+      "VB 3\n",
+      "JJ 18\n",
+      ". 10\n",
+      "IN 25\n",
+      "CD 5\n",
+      "RP 1\n",
+      "'' 1\n",
+      "JJS 1\n",
+      "`` 1\n",
+      "VBZ 7\n",
+      "NNS 19\n",
+      "VBN 5\n",
+      "PRP$ 2\n",
+      "DT 20\n",
+      "CC 1\n",
+      "NN 30\n",
+      "EX 1\n",
+      "TO 5\n",
+      ", 15\n",
+      "VBP 3\n",
+      "WDT 2\n",
+      "VBG 5\n",
+      "NNP 25\n",
+      "PRP 4\n",
+      "RB 4\n"
+     ]
+    }
+   ],
+   "source": [
+    "activations, num_layers = data_loader.load_activations('train_activations.json', 768)\n",
+    "tokens = data_loader.load_data(train_sentences, train_labels, activations, 512)\n",
+    "X, y, mapping = utils.create_tensors(tokens, activations, 'NN')\n",
+    "label2idx, idx2label, src2idx, idx2src = mapping"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "43b41d1c",
+   "metadata": {},
+   "source": [
+    "# LCA"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "id": "b6964887",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Training classification probe\n",
+      "Creating model...\n",
+      "Number of training instances: 224\n",
+      "Number of classes: 29\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.007966756820678711,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [1/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "4379810560364b54b478f3c570db3cfb",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [1/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [1/10], Loss: 2.6957\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.0641779899597168,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [2/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "36a1f57a1c22470d8e650c9c0e207e53",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [2/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [2/10], Loss: 0.9210\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004335165023803711,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [3/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "95f589335b254091baaefe3635ab1625",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [3/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [3/10], Loss: 0.6735\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
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+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [4/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "eda6e09e123149f4826b36b0b8bf1058",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [4/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [4/10], Loss: 0.4566\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004887819290161133,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [5/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "f733b21cb9c542b78be734d223ed0a1e",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [5/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [5/10], Loss: 0.3408\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004420280456542969,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [6/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "7b7fb86f6c61454b9a3cad95c89d13f3",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [6/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [6/10], Loss: 0.2813\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004229068756103516,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [7/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "f9d74f490ce4426e9a93e1a68f7d3e13",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [7/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [7/10], Loss: 0.2486\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004229307174682617,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [8/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "725a2e784ba149b1ad8c989f45985150",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [8/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [8/10], Loss: 0.2314\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004308223724365234,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [9/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "0f2b6e3b9bfa49219ad49162a90ed2d5",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [9/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [9/10], Loss: 0.2229\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004354238510131836,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [10/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "6dc45df77d754f54add95b531543e89d",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [10/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [10/10], Loss: 0.2189\n"
+     ]
+    }
+   ],
+   "source": [
+    "probe = linear_probe.train_logistic_regression_probe(\n",
+    "            X, y, lambda_l2=0.1, lambda_l1=0.1\n",
+    "        )"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "id": "2cecff53",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "top_neurons, top_neurons_per_class = linear_probe.get_top_neurons(probe, 0.01, label2idx)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 12,
+   "id": "59a3e209",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "{'POS': array([8756, 4148]), 'MD': array([8756]), 'VBD': array([8756, 7988, 6452, 6894, 7220, 1076, 1183, 1383, 3603,  385, 8234,\n",
+      "       2771, 7368, 6006, 2168, 1232]), 'RBR': array([4916, 4148]), 'VB': array([3013, 8731, 7535, 2574, 1988,  858, 9347, 6852, 2469,  863, 5614,\n",
+      "       5169, 3380, 3551, 9644,  631, 8084, 3266, 7629, 7473, 4518, 1170,\n",
+      "       3359, 4892]), 'JJ': array([8756]), '.': array([7988]), 'IN': array([1844]), 'CD': array([6909, 3029,  530, 6571, 6855, 5547, 2341, 1514, 7085, 7745, 3002,\n",
+      "        265, 1694, 5796, 6433, 9824,  159, 5673,   66, 9241, 3285, 3599,\n",
+      "       7218, 5769]), 'RP': array([4148, 4916]), \"''\": array([8756, 4916]), 'JJS': array([8756, 4148]), '``': array([4916]), 'VBZ': array([4916, 4148, 8756, 3380, 5684, 6611, 7988, 6577, 7607, 6326, 3387]), 'NNS': array([8756]), 'VBN': array([5215, 2776, 5814, 9910, 2496, 7979, 6941, 2763, 4917,  895, 6376,\n",
+      "       8917, 4225, 1735, 7683, 2186, 6368,  169, 7246, 9230, 5771,  892,\n",
+      "       3648, 6223]), 'PRP$': array([8756, 4916, 3380, 6945, 4943, 4912, 5684, 8341, 9390]), 'DT': array([1076]), 'CC': array([8756, 4148]), 'NN': array([8756]), 'EX': array([4148]), 'TO': array([6888, 2908,  339, 1759, 8868, 5698, 1747, 9673, 2385, 3166, 1058,\n",
+      "       6055, 2412, 2706, 9409, 2788, 1076,  308, 3042, 2496, 3597, 5061,\n",
+      "       3107]), ',': array([1844]), 'VBP': array([4846, 1602, 2926, 7064, 4819, 1090, 8980, 4537, 4554, 4916,  381,\n",
+      "       1386, 8117, 6498, 8866,   51, 4614, 3075, 5041, 6896, 7311,  862,\n",
+      "          6]), 'WDT': array([8756, 4916, 4148, 4862, 3197, 3592, 5091, 9210, 4275, 3587, 9824,\n",
+      "       6998, 1171, 6766, 2195, 7885,  555, 9377]), 'VBG': array([3693, 5506, 8174, 5171, 4721, 1571, 6871, 6388, 5858, 6581, 9741,\n",
+      "       7900, 5637, 3090, 6161, 3010, 8932, 7025, 5460, 9213, 2955, 5435,\n",
+      "        334,  754]), 'NNP': array([7293]), 'PRP': array([8921, 6395, 9335,  807, 8125, 3867, 7902, 7900, 9672, 4380, 6172,\n",
+      "       8239, 5923, 1642, 2325, 3889, 2763, 7371, 6768, 6204, 1523, 2079,\n",
+      "       1933, 4062]), 'RB': array([5333, 4527, 8720, 8821, 9957, 7375, 6055, 1514, 1281, 8968, 4167,\n",
+      "       8464, 8118, 2467, 2009, 5669, 4377,  588, 7399, 1319, 4226, 8500,\n",
+      "        325, 7649])}\n"
+     ]
+    }
+   ],
+   "source": [
+    "print(top_neurons_per_class)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "61664b0c",
+   "metadata": {},
+   "source": [
+    "# No Reg"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "id": "970368aa",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Training classification probe\n",
+      "Creating model...\n",
+      "Number of training instances: 224\n",
+      "Number of classes: 29\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.009303569793701172,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [1/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "29ed373af2aa44ecaa2aef1bc6c3fecf",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [1/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [1/10], Loss: 0.0651\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.0043680667877197266,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [2/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "fceae3f350f64757bc334cb6acd507d3",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [2/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [2/10], Loss: 0.0017\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004488468170166016,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [3/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "edd4fb22591c424398bb0e8a00cfacf5",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [3/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [3/10], Loss: 0.0001\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004181861877441406,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [4/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "f5f09b6bfdba4f62ac4193971f9bc2e9",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [4/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [4/10], Loss: 0.0001\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004251003265380859,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [5/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "ab30ca2f9f4248408273fd043ce60763",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [5/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [5/10], Loss: 0.0001\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004360675811767578,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [6/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "6f7618cfa60c4503bae9dd710bbe613c",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [6/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [6/10], Loss: 0.0000\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004534244537353516,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [7/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "b03b8316798045ca9b3a20a5ee0da664",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [7/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [7/10], Loss: 0.0000\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004230022430419922,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [8/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "30834c1e3dfb494ca0b7672ac9a32d0a",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [8/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [8/10], Loss: 0.0000\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004354238510131836,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [9/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "e82b9a6468194c9aa416a8248e3ad906",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [9/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [9/10], Loss: 0.0000\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004148244857788086,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [10/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "f8af007866fb46c1b3d2698d3f2f57ee",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [10/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [10/10], Loss: 0.0000\n"
+     ]
+    }
+   ],
+   "source": [
+    "probe = linear_probe.train_logistic_regression_probe(\n",
+    "            X, y, lambda_l2=0.0, lambda_l1=0.0\n",
+    "        )"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 14,
+   "id": "5934bb18",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "top_neurons, top_neurons_per_class = linear_probe.get_top_neurons(probe, 0.01, label2idx)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 15,
+   "id": "5adf8f32",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "{'POS': array([2867,   10, 1752, 1067, 3050, 3582, 6112, 8540, 9013, 4404, 5062,\n",
+      "       1416, 8594, 6705, 5151, 2065, 3297, 5839, 2723, 5714, 4377,  321,\n",
+      "        782, 3680, 5137,  972, 4910, 2061, 3648, 8764, 8760, 3080, 9220,\n",
+      "       7883]), 'MD': array([4208, 3270, 5093, 2529, 6318, 2421, 4330, 8219, 8123,  506, 5481,\n",
+      "       3604, 6623, 6915,   20, 8924, 9755, 5460,  935, 7451, 3994, 5194,\n",
+      "       9959, 9200,  653,   63, 3276, 5370, 4249, 3029, 8150, 4025, 7168,\n",
+      "       8045]), 'VBD': array([9472, 7338, 7051, 4805, 6044, 3313, 4527, 5573, 1962, 8949, 8230,\n",
+      "       3699, 5596, 3951, 4191, 4985,  687, 9379, 4832, 5140, 5276, 3206,\n",
+      "       4237, 9242, 9612,  770, 5949, 8802, 6563, 7685, 7075]), 'RBR': array([3050, 6855, 5679, 4163,  809,  232, 2156, 3352, 2850, 7581, 1081,\n",
+      "       4568, 7264, 7159, 1970, 9146, 2433, 5631, 2343, 9181, 8968, 7428,\n",
+      "       4116, 8649, 7764, 4704, 5325, 9851, 3375, 2708, 5808, 1490, 4327]), 'VB': array([1199, 9555, 7484,  109, 9630, 4322, 9423, 8526, 5697, 3227, 8417,\n",
+      "       7941, 2053, 7945, 6181, 3589, 7758, 1066, 7503, 7013, 1666, 4381,\n",
+      "       1145, 5839, 7426, 3309, 8162, 2709, 4278, 9739, 8016, 2378]), 'JJ': array([1487,  237, 1862, 3369, 1444, 8745, 8273,    7, 3819, 8063, 4223,\n",
+      "       1290, 6206, 1035, 9157, 1127, 7875, 5335, 2663,  775, 1094, 2996,\n",
+      "       4696, 9830, 9428, 3928, 6938, 2677, 9420, 8831, 5532]), '.': array([3626, 8025, 5226, 7603, 8068, 9164, 2464, 9283, 9532, 5574, 9927,\n",
+      "       9515, 8626, 9333, 9935, 1164,  226, 6400, 9158, 6815, 3291, 3096,\n",
+      "       7387, 1332, 4987, 2287, 8271,  133, 5245, 5303, 1211, 1809, 3011,\n",
+      "       3944, 5004,  202]), 'IN': array([ 416, 9983, 9071, 4514, 5243, 2662,  307, 7584, 2470, 4979, 1936,\n",
+      "       5839, 7662, 4178,  167, 2809, 3577, 5282, 1106, 9819, 1357, 5976,\n",
+      "        387, 2687, 9106, 1460, 5892, 2642, 8338, 8447,  498, 9215]), 'CD': array([8663, 4623, 2320, 4227, 9795, 6170, 2947, 3952, 4018, 7248, 8647,\n",
+      "       4209, 4591, 9867, 9866, 8490, 2534, 3383, 1946, 5359, 8435, 5448,\n",
+      "       5922, 3302, 8797,  214, 7484, 5673, 2651, 3453,  132, 5456, 2437,\n",
+      "       2602]), 'RP': array([2443, 1549, 8126, 5198, 4899, 8052, 5490, 7870, 3186, 8886, 7671,\n",
+      "       9891, 7367, 3559, 3852, 3092, 1179, 7764, 8498, 9111, 7628, 6984,\n",
+      "       2423, 6800, 9771, 4906, 9729, 3760, 2011, 6962, 9329, 5225, 9888,\n",
+      "       5749]), \"''\": array([3509, 2517, 1506, 4789, 2963,   10, 1053, 3368, 2310, 4995, 1843,\n",
+      "       8278, 8991, 5196, 5481, 7849, 5500, 8488, 1060, 9867, 4832, 2934,\n",
+      "       1788, 1282, 1598, 1016, 7802, 1403, 1511, 2157,   50, 6055, 8400,\n",
+      "       4327]), 'JJS': array([9683, 5244, 5217, 5132, 2743, 4064, 8109,  446, 8432, 2851,   16,\n",
+      "       9194, 2102, 7471, 5009, 2786, 4864, 2381, 7231, 3693, 8295, 8747,\n",
+      "        889, 7532, 6423, 8839, 8609,  920, 5022, 2062, 2991, 2739, 2536,\n",
+      "       3206]), '``': array([3844, 3231, 1217, 3033, 3043, 4135, 3818, 8800, 9046, 8039, 9455,\n",
+      "        579, 9384, 7455, 6822, 2534, 8675, 1501, 7586, 2142, 3100, 9758,\n",
+      "       4954, 9875, 7140, 5037, 5633, 1833, 3945, 1230, 2843, 2892,  796]), 'VBZ': array([3974,  825, 9977,  919, 5567, 7797,  675,  666, 7350, 2819, 8241,\n",
+      "       7218, 1004, 1424, 1022, 4515, 6168, 3659, 5975, 1442, 6259, 6269,\n",
+      "       2188, 6143, 6363, 1167, 8245, 1391, 6237, 1739,  329,  312]), 'NNS': array([3297, 4682, 4718, 2170, 1892, 7497, 6192, 4939, 2809, 7955, 1458,\n",
+      "       6785, 5881, 2562, 5409,  868, 9270, 4450, 7433, 6125, 8558, 2444,\n",
+      "       3184, 9822, 8684,  935, 1363, 5698, 3980, 6778]), 'VBN': array([9435, 9745,  750,  265, 9592, 1057, 4988, 5487, 4159, 6839,  753,\n",
+      "       9042, 4990, 9510, 5634, 8676, 5474, 8529, 2266, 8828, 3948, 3034,\n",
+      "       9841, 2302, 9871, 9485, 5706, 9816, 5517, 6092, 3516]), 'PRP$': array([7531, 3635, 5471, 3451, 5173, 9671, 1395,  346, 2883, 7783, 4792,\n",
+      "       5822, 6201, 9126, 3461, 4219, 1105, 4015, 2833, 8582, 4571, 4391,\n",
+      "       6107, 7378,   59, 8277, 4670, 9444,  107, 3442, 1396, 1157, 8608]), 'DT': array([2206, 3558, 8960, 7671, 1594, 5678, 6962, 5565, 8017, 2365, 8618,\n",
+      "        584,   48, 7725, 4808, 2198, 3714, 1849, 4793, 3390, 5250, 1183,\n",
+      "       7230, 5015, 2250, 8171, 2422, 2643, 2785, 1201, 4025, 5500,  378]), 'CC': array([9669, 8419, 5583, 3007, 5355, 7983, 2529, 3543, 8667, 7137, 4355,\n",
+      "       1739, 5391, 3984, 6636, 3304, 4460, 2534, 8938, 8296, 2843, 9955,\n",
+      "        781, 5712, 2102, 9303, 3162, 4931, 5808, 9057, 4504, 5632]), 'NN': array([5593, 4057, 2910, 5667, 1980, 5707, 4243, 9856, 1122, 9007, 6124,\n",
+      "        985, 5610, 8970,  934,  820, 9531, 4029, 1648, 9377,  356, 9310,\n",
+      "        709, 8221, 7897, 4268, 8119, 9682, 6140, 8779, 9536]), 'EX': array([2714, 1471, 7531, 3597, 9703, 7300, 9455, 3129, 6855,  400, 2829,\n",
+      "        126, 3441, 6134, 5217, 7793, 9451, 5811, 3773, 5196,  818, 6118,\n",
+      "       7159, 7215, 9517, 6314, 6417, 1495, 5669, 5472, 4739, 4418,  885]), 'TO': array([1280, 1088,  674, 1227, 1935,  770, 1147, 1911, 3186, 5336, 1607,\n",
+      "         98, 1225, 5565, 4978, 9664, 1826,  857, 4160, 1292,  524, 7430,\n",
+      "       2888, 1436, 3032, 5238,  140, 4133, 3956, 5474, 1590, 8139, 3450,\n",
+      "       2691]), ',': array([9866, 1762, 4228, 3115, 8669, 2683, 5634, 5840, 6619, 1589, 5319,\n",
+      "       9553, 3162, 5835, 7706, 5746, 3975, 1455, 2525, 7032,  430, 7961,\n",
+      "       5875, 6726, 1006, 8399, 9506,  202, 2102, 6944,  855, 5456, 6675,\n",
+      "       8107, 3780, 4401]), 'VBP': array([ 780, 7447, 2744, 2509, 6285, 6434, 4821,   65, 6207, 6633, 3213,\n",
+      "       3415, 6278, 5358, 8736, 2615, 6226, 6449, 8124, 1044, 3788, 9854,\n",
+      "       6765,  973, 9357, 3950, 6291, 7466, 9799, 9516, 8148, 6722]), 'WDT': array([4403, 7317, 6895, 9590, 5789, 9277, 3463, 8572, 1852, 9272, 8795,\n",
+      "       4865, 3811, 4621, 2185, 1740,  467, 6741, 2998, 6042, 2373, 4849,\n",
+      "       3393, 1795, 1147,  735, 8096, 6034, 2787, 5342, 9273, 2369,  126]), 'VBG': array([1616,  955, 4039, 6332, 4124, 1890, 3940, 3951, 4937, 2748, 2958,\n",
+      "       6948, 4284, 1122, 9308, 7040, 6250, 6536, 3671, 9295, 5047, 4708,\n",
+      "       2127, 2191, 3256, 1563, 3428, 2562,   98, 1091, 4152]), 'NNP': array([9961, 7387,  598, 1523, 4315,  272, 1471, 1821, 3495, 5129,  357,\n",
+      "       5811, 3718, 9129, 7094, 7556,  368, 6008, 1169, 2861, 8115, 7813,\n",
+      "       2586, 7359,  587, 6801, 9866, 8697,   29, 7594, 2177,  607]), 'PRP': array([6015, 9327, 1073, 1463, 2698, 4231,  596, 2650, 4923, 8121, 7583,\n",
+      "       2135, 3810, 1882, 6063, 4807, 6001,  880, 8667, 2231, 4681, 3060,\n",
+      "       2377, 2420, 4328,  281, 2532, 9276, 3934, 5187,  549, 9364, 2254]), 'RB': array([5900, 6475, 8935, 4903, 9895, 5554, 4991, 8167, 5921, 9555, 8929,\n",
+      "       7611, 6670, 4785, 6676, 2334, 9531, 5764, 6392, 4334, 6401, 1371,\n",
+      "       3403, 6611, 6750, 7404, 7142, 2964, 3250, 1189])}\n"
+     ]
+    }
+   ],
+   "source": [
+    "print(top_neurons_per_class)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "018cff5e",
+   "metadata": {},
+   "source": [
+    "# Lasso-01"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 16,
+   "id": "fb863fab",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Training classification probe\n",
+      "Creating model...\n",
+      "Number of training instances: 224\n",
+      "Number of classes: 29\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.007337093353271484,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [1/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "34badfe75b1d40ddb152ccfa35a9e580",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [1/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [1/10], Loss: 2.6902\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004339456558227539,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [2/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "6e2e564070c8499b817bb580a0321721",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [2/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [2/10], Loss: 0.9195\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004391670227050781,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [3/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "6792c35c35d94fcaa05132fbd6ab99bb",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [3/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [3/10], Loss: 0.6726\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004132270812988281,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [4/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "cf29033cff1946e5ac468946fb6a09ba",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [4/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [4/10], Loss: 0.4562\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004180431365966797,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [5/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "f6c6f30b9867457896af30f874280339",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [5/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [5/10], Loss: 0.3408\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.0042629241943359375,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [6/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "84287a7ab4c04f3dab872dd31a96d610",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [6/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [6/10], Loss: 0.2811\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004381418228149414,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [7/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "3e75b2ab056b4c6cbd53bfbab1ae2b3e",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [7/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [7/10], Loss: 0.2482\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004365444183349609,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [8/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "28de084704bf4970ba8c1903bffd8518",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [8/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [8/10], Loss: 0.2310\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.0041620731353759766,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [9/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "c2c27b5ef0fa4134ac7d332a181f67db",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [9/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [9/10], Loss: 0.2225\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004210710525512695,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [10/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "492cb50b421545bf892fcf5c5dd9080d",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [10/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [10/10], Loss: 0.2183\n"
+     ]
+    }
+   ],
+   "source": [
+    "probe = linear_probe.train_logistic_regression_probe(\n",
+    "            X, y, lambda_l2=0.0, lambda_l1=0.1\n",
+    "        )"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 17,
+   "id": "f1fe136f",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "top_neurons, top_neurons_per_class = linear_probe.get_top_neurons(probe, 0.01, label2idx)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 18,
+   "id": "86f99f99",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "{'POS': array([8756, 4148]), 'MD': array([8756, 4916]), 'VBD': array([8756, 5684, 7988, 7220, 4148, 3380, 5889, 4936, 8080, 7578, 4916,\n",
+      "       2188, 2585, 6657, 5667, 4107]), 'RBR': array([4916, 4148, 3380]), 'VB': array([5027, 3086, 1559, 5072,  511, 3149, 3777, 2035, 1312, 4143,  799,\n",
+      "        242, 3907, 7629, 7705,   23, 7330, 5553, 3408, 8735, 4704, 2858,\n",
+      "       2712, 2222, 6350]), 'JJ': array([8756]), '.': array([8756]), 'IN': array([8756]), 'CD': array([6415, 2322, 8903, 4107, 5737,   36, 5187, 7227,  966, 5030, 6711,\n",
+      "       3998, 4342, 5007, 8850, 4727, 3058,  953,  245, 1439, 6984,  282,\n",
+      "       1705]), 'RP': array([4916]), \"''\": array([5684, 8756]), 'JJS': array([8756, 4916]), '``': array([4916]), 'VBZ': array([4148, 4916, 3380, 8756, 5684, 5423, 9690, 4777, 5650, 5956, 4856,\n",
+      "       6761]), 'NNS': array([8756]), 'VBN': array([4644,  614, 7324, 1218, 4673, 5220, 4116, 5949, 1006, 4819, 6841,\n",
+      "       5763, 2803, 9861, 5361, 3792, 8092, 6560, 8198, 5973, 2328, 9971,\n",
+      "       3086, 5540]), 'PRP$': array([8756, 4916, 4148, 6452,  886, 4752, 5713,  746, 8853]), 'DT': array([308]), 'CC': array([4916, 8756]), 'NN': array([308]), 'EX': array([4916, 8756]), 'TO': array([5959, 3380, 6553,  208, 7325, 9844, 5310, 1237,  217, 6339,  245,\n",
+      "       5543, 6882, 3742, 6209, 8255, 7497, 5816, 7648, 5459, 1925, 2083,\n",
+      "       9953, 8913]), ',': array([1844]), 'VBP': array([8756, 2612, 8166,   27, 4393, 5726, 1653, 2378, 7433, 8903, 5071,\n",
+      "       3170, 4999, 4644, 6175, 3001, 1627, 4346, 9910, 9045, 7287, 1224]), 'WDT': array([4916, 8756, 5684, 6452, 7515, 1999, 3316, 9100]), 'VBG': array([5476, 8078, 4714, 3779, 3282,  337, 6465, 3798, 3489, 8863, 8790,\n",
+      "       3179, 6574, 9847, 2483, 8820, 1962, 7127, 5424, 6512, 7988, 6140,\n",
+      "       1729, 5832]), 'NNP': array([5822]), 'PRP': array([2477, 4942, 1646, 6392, 4390, 3330, 7400, 1716, 6788, 8563, 1389,\n",
+      "       1009, 7419, 4739, 2967, 8460, 7731, 1136, 9672, 2412, 4330, 9565,\n",
+      "       5562]), 'RB': array([6763, 3654, 2735, 5748, 2866, 5764, 9979, 7781, 2684, 8109, 5506,\n",
+      "       3492, 2389, 2401, 1282, 6502, 1612, 2773, 3578,   12, 4374, 5557,\n",
+      "       9743, 3533])}\n"
+     ]
+    }
+   ],
+   "source": [
+    "print(top_neurons_per_class)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "d88d8a1d",
+   "metadata": {},
+   "source": [
+    "# Ridge-01"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 19,
+   "id": "cb0e4d3d",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Training classification probe\n",
+      "Creating model...\n",
+      "Number of training instances: 224\n",
+      "Number of classes: 29\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.009920358657836914,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [1/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "68d29af9f2104ea99cce9f0721ad9960",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [1/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [1/10], Loss: 0.0756\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004254817962646484,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [2/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "1c1bdf2c078e4b2b80f66d2e924c806c",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [2/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [2/10], Loss: 0.0134\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004626274108886719,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [3/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "e3a95fb3e75b48939bc53493da6b96d2",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [3/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [3/10], Loss: 0.0127\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.003996849060058594,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [4/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "c7077652e464437bbd486b301cd8f059",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [4/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [4/10], Loss: 0.0130\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
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+       "rate": null,
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+       "unit": "it",
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+      "text/plain": [
+       "epoch [5/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [5/10], Loss: 0.0130\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
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+       "prefix": "epoch [6/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "e15fa7f69a4e4518b7468b994425ffff",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [6/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [6/10], Loss: 0.0127\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
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+       "prefix": "epoch [7/10]",
+       "rate": null,
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+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "47c5707737224616b7006ebb1465bd05",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [7/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [7/10], Loss: 0.0123\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.007202863693237305,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [8/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "3b16872060784c6abec9b55e9f8c6ecb",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [8/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [8/10], Loss: 0.0119\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004210710525512695,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [9/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "d41ae9e432de43eb8c577c29166c94dd",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [9/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [9/10], Loss: 0.0114\n"
+     ]
+    },
+    {
+     "data": {
+      "application/json": {
+       "ascii": false,
+       "bar_format": null,
+       "colour": null,
+       "elapsed": 0.004056453704833984,
+       "initial": 0,
+       "n": 0,
+       "ncols": null,
+       "nrows": null,
+       "postfix": null,
+       "prefix": "epoch [10/10]",
+       "rate": null,
+       "total": null,
+       "unit": "it",
+       "unit_divisor": 1000,
+       "unit_scale": false
+      },
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "11c1c038c59e4c82a2f6cd59a166834c",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "epoch [10/10]: 0it [00:00, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch: [10/10], Loss: 0.0109\n"
+     ]
+    }
+   ],
+   "source": [
+    "probe = linear_probe.train_logistic_regression_probe(\n",
+    "            X, y, lambda_l2=0.1, lambda_l1=0.0\n",
+    "        )"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 20,
+   "id": "70bf804a",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "top_neurons, top_neurons_per_class = linear_probe.get_top_neurons(probe, 0.01, label2idx)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 21,
+   "id": "562cb8b2",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "{'POS': array([7572, 5668, 4500, 9153, 7459, 5600, 6326, 6719, 4672, 8311, 7315,\n",
+      "       5789, 7651, 9959, 7383, 8880, 8502, 6148, 3950, 3136, 7621, 6336,\n",
+      "       5997]), 'MD': array([6683, 7220, 7909, 5199,  821, 6811, 4905, 9396, 5394, 9339, 8829,\n",
+      "       8271, 7367, 8931, 9038, 7832, 8973, 6253, 2278, 8270, 8054,   18,\n",
+      "       9115, 1109, 8130, 8314]), 'VBD': array([1124, 8080, 6544, 6110, 9198, 6124, 5852, 8998, 7580, 8734, 4468,\n",
+      "       4081, 6385, 3500, 5573, 1697, 1892, 3056, 8894, 4154, 3108, 5665,\n",
+      "       8823, 2545, 5140, 2094, 6044, 1096, 6368]), 'RBR': array([2342, 2627, 8590, 2721, 6093, 7822, 2979, 4111, 2654, 3657, 2080,\n",
+      "       7001, 4029, 5629,  589, 5460,  272, 6749, 8530, 1601, 2653, 8901,\n",
+      "       3627, 1212, 3504, 3079, 2964,  333]), 'VB': array([8789, 4682, 6014, 2781, 2296, 5340, 6735,  341, 6719, 3549, 1020,\n",
+      "       1980, 2544, 3144, 5214,  325, 9039, 8143, 3706, 8735, 1877, 4924,\n",
+      "       1245, 3510, 1061, 1500, 8486, 5700, 3064]), 'JJ': array([4991, 6453, 7295, 3764, 1662, 7679, 2499, 5259, 7226, 1212, 5332,\n",
+      "       7586, 1177, 3547, 2330, 7914, 7201, 4820, 7048, 2255,  922, 1051,\n",
+      "       6129, 5281, 4628, 2873, 4581, 8253, 9214, 4214, 1693]), '.': array([8756, 9755, 2645, 8219, 5921, 6177, 7253, 5409, 1109, 7695, 6047,\n",
+      "       6683, 7632, 4996, 5130, 9104, 6174, 8987, 4132, 6650, 8144, 7451,\n",
+      "       4990, 4935, 4566, 6167, 5784, 8628, 2761]), 'IN': array([3535,  389, 2838, 6143,  934, 2557, 5282, 2041, 1690, 3443, 5375,\n",
+      "       2272, 5035, 1321, 5377, 4093, 3654, 8668, 2909,  111,  549, 7679,\n",
+      "       1789, 5839, 6607, 9983, 4217, 5113,  568, 5736]), 'CD': array([3714, 4482, 8799, 4122, 6997, 6549, 3973, 7697, 3159, 2904, 2651,\n",
+      "       4464, 9142, 8520, 3876, 9271, 2736, 8898, 4144, 5286, 5183, 8061,\n",
+      "       1260, 8051, 6000, 8465, 4025, 5583, 1946, 5868, 5283, 2866]), 'RP': array([4962, 7969, 2274, 3751, 7141, 5438, 5011, 1199, 7740, 1544, 4639,\n",
+      "       6414, 4702, 4819, 1749, 7290, 5747, 7853, 1666, 6735, 7976, 2628,\n",
+      "        955]), \"''\": array([2983, 2011, 8454, 9071, 5903, 8867, 2362, 2186, 8325, 8458, 8468,\n",
+      "       5350, 8810, 5641, 8219,  871, 7963, 5812, 2852, 8755, 5474, 7557,\n",
+      "       1120]), 'JJS': array([5062, 3116, 1906, 7575, 5423, 6458, 4460, 6120, 4148, 2155, 5163,\n",
+      "       3129, 1640, 2178, 8418,  882, 5410,  791, 5227, 3785, 4007, 2338,\n",
+      "       7388, 4580, 6851]), '``': array([8008, 4748, 6472, 1562, 8776, 7052, 7047, 1276, 8833, 2362,  644,\n",
+      "       4916, 6423, 2402, 2044, 2441, 1434, 7328, 5988, 6678, 1634, 1644,\n",
+      "       7849]), 'VBZ': array([8444, 1966, 4133, 6400, 5567, 3596, 2742, 3172, 7436, 1097, 5775,\n",
+      "        666, 8045,  254,  656, 5894, 1355, 9396, 7732, 2745, 1283, 2500,\n",
+      "       1580, 4278, 5375, 7175,   71, 9209, 1615, 8997]), 'NNS': array([2467, 3914, 5450, 4542, 3297, 1063, 2170, 1273, 2954, 5881, 2784,\n",
+      "       1246, 3942, 6785, 3006,  880, 1892, 1036, 4520, 2337, 3235,  816,\n",
+      "       6960, 2910, 1986, 5506, 3507,  801, 8516,  891]), 'VBN': array([3722, 2340, 1625, 4482, 5549, 1572, 6882, 3091, 6392, 5694, 2294,\n",
+      "        765, 5241, 8946,  959, 8322, 7554, 7170, 1858, 2932, 2688, 7853,\n",
+      "       4865, 2758, 2419,  198,  111, 3682, 2653,  754]), 'PRP$': array([8510, 8453, 8496, 1245, 7022, 1241, 4403, 1044, 1543, 2153, 4987,\n",
+      "       2867, 6260, 7684, 4121, 6529, 1142,  801, 6917, 3203, 5066, 3813,\n",
+      "       3950, 2469, 9139, 1147, 2013]), 'DT': array([2790, 1249, 2946, 4337, 1183, 1279,  486, 2017, 3890, 4756, 4295,\n",
+      "       4838, 6962, 2122, 1428,  462, 4658, 2101, 1607, 2022, 6071, 6210,\n",
+      "       3411, 4457, 2536, 2983,   54, 1498, 4355, 4482, 1193, 4407]), 'CC': array([3611, 6052, 4921, 6862, 6686, 7588, 7730, 7389, 3418, 2617, 7303,\n",
+      "       6479, 6349, 6018, 1825, 6148, 5225, 6953, 4649, 4642, 4290, 8240,\n",
+      "       2323]), 'NN': array([1648, 4825, 6796, 4257,  524, 4268, 9980, 3678, 1007, 3669,  981,\n",
+      "       4964, 6889, 3469,  682,  356, 9160, 2435, 5584, 6825,  733, 3116,\n",
+      "       1518, 4578, 3653, 6643, 2158, 6766,  204, 9775, 5732]), 'EX': array([4219, 2278, 1139, 4134, 3060, 5069, 4987, 3852, 2871, 2861, 4046,\n",
+      "       2342, 2749, 8873, 6392, 5884, 1238, 4301,  974,  355, 8125, 7279,\n",
+      "       6512]), 'TO': array([2251, 7189, 3500, 5996, 5349, 1915, 6764, 4460, 3691, 3756, 1995,\n",
+      "       4553, 1789, 3954, 2750, 4117, 6150, 1359, 1134, 6224, 5473, 4133,\n",
+      "       1813, 2425, 4345, 9678, 6317, 3152, 8139,  351, 3727]), ',': array([1220, 5982, 3611, 6180, 7873, 8752, 4590, 6603, 1518, 5099, 2026,\n",
+      "       5133, 1273, 8166, 3341, 3265, 6730, 7922, 5198, 5289, 8243, 2367,\n",
+      "       9518, 7746, 1338, 7503, 8405, 6768, 1147, 8931, 9826, 6669, 4365]), 'VBP': array([1520, 6107, 7796, 2020, 3739, 6022,  752, 5396, 7558,  606, 4913,\n",
+      "       8355, 3788, 4660, 6404, 4556, 6689, 3063, 7732, 3098, 6164, 5997,\n",
+      "       3765, 3004, 1072, 8394,  379, 6796, 3718]), 'WDT': array([7817, 5338, 8332, 2829, 7353, 8696, 8730,  781, 1248, 5340, 2970,\n",
+      "       2016, 6703, 9756, 9678, 5529, 8119, 7246, 5506, 2329, 8758, 7594,\n",
+      "       6020, 8222, 2078, 5908, 1536, 5403]), 'VBG': array([3337, 3919, 1863, 6174,  878, 3186, 2494, 5635, 4071, 4686, 4397,\n",
+      "       5471, 4497, 4576, 9105,  925, 4527, 3389, 2569, 8119, 7710, 4401,\n",
+      "       5486, 1911, 3076, 6536, 3636, 3497, 3875, 6386]), 'NNP': array([6818, 8800, 7983, 2891, 5282, 3556, 1366, 9830, 6770, 8750, 6364,\n",
+      "       4324, 3975, 4572, 7789, 3629, 6012, 1282, 3849, 2971, 2030, 9078,\n",
+      "       6108, 8857, 7800,  703, 3467, 8803, 6151, 3960, 3483]), 'PRP': array([4140, 4257, 5098, 5323, 1006,  621, 5449, 5025, 1563, 5676, 6836,\n",
+      "        370, 1832, 8523, 5142, 8583, 4035,  315, 2712, 3188, 4571, 1062,\n",
+      "       2246, 6654, 4738, 4997, 3104, 7601,  272, 4511]), 'RB': array([5268, 3263,   30, 6063, 2489, 9545, 2423, 4527, 6151, 4054, 3158,\n",
+      "       8371, 5229, 8472, 5588, 4438, 4947,  575, 7103, 6173, 3759, 6831,\n",
+      "       2057, 8448, 5997, 2062, 1721, 9134, 7631, 2880])}\n"
+     ]
+    }
+   ],
+   "source": [
+    "print(top_neurons_per_class)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "46909c24",
+   "metadata": {},
+   "source": [
+    "# Probeless"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 22,
+   "id": "75aab0ba",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "top_neurons, top_neurons_per_class = probeless.get_neuron_ordering_for_all_tags(X, y, idx2label)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 23,
+   "id": "fd756241",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "{'NNP': [7988, 7220, 8756, 4148, 3380, 6452, 4916, 1844, 5684, 2612, 1076, 308, 9524, 6590, 5822, 5054, 4286, 3518, 5804, 8126, 3914, 4682, 5036, 5450, 2750, 7358, 9396, 8894, 1982, 6572, 8876, 8108, 4268, 5541, 5383, 4666, 7340, 3146, 6218, 6151, 4773, 3804, 5228, 2123, 5434, 2268, 3500, 6919, 8962, 3898, 3036, 4572, 4390, 5926, 6309, 2641, 6098, 1987, 4291, 7754, 5750, 8282, 5171, 5158, 7035, 1332, 4885, 2362, 8219, 4005, 1195, 5431, 1500, 6202, 9968, 8194, 6986, 3622, 2854, 7687, 5422, 8987, 1810, 5340, 1963, 7967, 6707, 6764, 6002, 3729, 5330, 5122, 7077, 8037, 8402, 8313, 2731, 2100, 7199, 9050, 4177, 5996, 2586, 7864, 5663, 6882, 2050, 7019, 9098, 2086, 6251, 8530, 5346, 7634, 3659, 6866, 6406, 4562, 5234, 7762, 4466, 2732, 6431, 6131, 1931, 4578, 5748, 1214, 7972, 3810, 5939, 9205, 4663, 8805, 7984, 3130, 4615, 2193, 3847, 2197, 9035, 1355, 5890, 1873, 6114, 8881, 4427, 2883, 5680, 2961, 5915, 7216, 8113, 4819, 7096, 6448, 3651, 3523, 4354, 6022, 5282, 8648, 1818, 4690, 5827, 6328, 7768, 1367, 4117, 8330, 4982, 4252, 2755, 6683, 2274, 4724, 2818, 2378, 9133, 8522, 4980, 5059, 5978, 4912, 2009, 8735, 6042, 3409, 6226, 6496, 5997, 2965, 6001, 6994, 3922, 2157, 5660, 4654, 3678, 6837, 7514, 3635, 5153, 2578, 5195, 5638, 1964, 4945, 7451, 2891, 8889, 6518, 8121, 4936, 3556, 8699, 2867, 3733, 2290, 8827, 9011, 2311, 8165, 8243, 5921, 2910, 5562, 4403, 3424, 1958, 4235, 5963, 4892, 5428, 7426, 5587, 6770, 8216, 7545, 5089, 5935, 5017, 3467, 6394, 5093, 1523, 4983, 9662, 3998, 2656, 4447, 8752, 4321, 8740, 5081, 1566, 7942, 6777, 4460, 9084, 3042, 6821, 4678, 4339, 7475, 1915, 8091, 5787, 4895, 1190, 1992, 4965, 6970, 4555, 5363, 8387, 5145, 4944, 3142, 2099, 3169, 1888, 3671, 4501, 1105, 1318, 2903, 8883, 1429, 3354, 3692, 4379, 2447, 3237, 3230, 6658, 3058, 8267, 4497, 5458, 7770, 8437, 6516, 4461, 4987, 5147, 8455, 5175, 9144, 4407, 8800, 4766, 7002, 3079, 5728, 3639, 3202, 9170, 4541, 6694, 7091, 8279, 2871, 1543, 4114, 5849, 3794, 3693, 2678, 2868, 2699, 6790, 8915, 5285, 6234, 3215, 8365, 3346, 5516, 4794, 2251, 4168, 9779, 6199, 2017, 8373, 3980, 5167, 4127, 5003, 8985, 4484, 2393, 3927, 2093, 6330, 6069, 3586, 5492, 8933, 798, 1722, 5713, 1125, 5626, 1147, 5252, 4325, 7538, 4799, 3983, 3484, 5274, 4660, 6806, 2715, 4858, 6810, 1042, 3787, 6038, 1469, 2683, 5483, 5653, 5861, 1666, 5020, 7931, 1050, 2237, 4997, 1610, 3886, 6629, 5233, 5650, 7605, 4608, 5668, 1568, 7284, 7574, 7269, 4212, 6355, 7499, 1594, 8300, 3440, 2661, 4748, 4214, 2434, 3956, 3937, 3349, 2278, 6460, 5731, 5733, 5406, 2135, 6680, 5857, 2055, 5244, 3400, 1331, 4419, 3161, 7983, 8376, 5229, 8032, 3910, 3716, 4476, 2334, 7406, 6020, 5113, 4219, 2439, 3481, 6555, 8052, 8615, 1947, 4514, 7859, 6617, 5560, 4960, 4861, 2490, 3359, 3172, 7813, 2172, 7448, 3446, 7684, 3019, 8179, 4828, 7845, 6108, 8789, 8115, 4708, 6037, 5658, 2210, 2215, 9081, 4031, 8536, 5732, 7174, 4870, 8102, 7532, 2716, 9467, 4738, 7353, 4976, 6703, 4446, 7204, 5021, 4249, 6421, 5982, 8718, 6196, 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7430, 5459, 4742, 7212, 7365, 4153, 6867, 8580, 4341, 4779, 6495, 2992, 9149, 4157, 1921, 6040, 8868, 4326, 7133, 4901, 3111, 7268, 1418, 5553, 8270, 6471, 7075, 2232, 2546, 6727, 1255, 3808, 5794, 4156, 4409, 8970, 3828, 8634, 809, 7321, 867, 3286, 5871, 2070, 3244, 2229, 3739, 5886, 5112, 6780, 6063, 2213, 4668, 6242, 8018, 7853, 9110, 3456, 4464, 3863, 9640, 1428, 4515, 4229, 1166, 6044, 5479, 5834, 5927, 6246, 9030, 3517, 7533, 4777, 5268, 4730, 1118, 5141, 6607, 3179, 478, 3973, 1584, 3173, 1246, 3341, 9320, 9202, 4108, 2590, 8929, 2694, 9383, 5423, 5808, 8103, 1730, 1074, 8083, 7767, 5151, 1607, 4838, 6083, 8269, 5429, 4426, 5908, 5526, 663, 1463, 6184, 2189, 1228, 6162, 3084, 4125, 7049, 5580, 7985, 5391, 6645, 3520, 1590, 3605, 4867, 3971, 3764, 2865, 7586, 1265, 2626, 9257, 2043, 2980, 1340, 5095, 3222, 9058, 6117, 3335, 5375, 5832, 7347, 7817, 1846, 1075, 4703, 5640, 4604, 940, 3107, 1891, 7113, 5315, 4733, 8131, 3135, 3056, 6514, 4111, 4695, 6603, 5627, 4087, 8068, 963, 2946, 1833, 4202, 8062, 7673, 3959, 2583, 7027, 2359, 9959, 4551, 3928, 4754, 8, 5802, 1146, 9082, 3712, 1324, 6335, 8453, 5518, 2231, 6815, 5830, 5784, 7375, 644, 6178, 1508, 7667, 4119, 4570, 8505, 5419, 7938, 4832, 2734, 3253, 6487, 1106, 1946, 2539, 8236, 1585, 3455, 7371, 1014, 8286, 6700, 1178, 3053, 25, 4897, 4473, 3588, 1934, 2114, 579, 3569, 3696, 7022, 1275, 5331, 3785, 2138, 3701, 8308, 1980, 7168, 1053, 4023, 8423, 626, 2421, 7723, 1012, 6654, 1925, 7110, 2679, 2886, 4764, 2487, 6180, 4925, 924, 3527, 2203, 1269, 8256, 8981, 914, 53, 8203, 6208, 1460, 4438, 1416, 1658, 7396, 3754, 8152, 6045, 2928, 2838, 4333, 7502, 1796, 8476, 4656, 2518, 211, 4210, 3091, 3232, 5647, 1259, 4611, 1488, 1262, 8852, 4843, 5078, 9973, 1672, 942, 5277, 2526, 481, 337, 2333, 9187, 7361, 6097, 4145, 6253, 9115, 981, 3646, 2028, 5177, 694, 4154, 7081, 3144, 1067, 7315, 6734, 7734, 1565, 4067, 5505, 5614, 2139, 4179, 5630, 3252, 3327, 8006, 7786, 5846, 3498, 2950, 2177, 1113, 8411, 3912, 8417, 3353, 5334, 1337, 5766, 1122, 6027, 8094, 3905, 2517, 9624, 3331, 2160, 853, 2023, 1729, 6573, 839, 3223, 7750, 7481, 2227, 5621, 1164, 8767, 968, 4992, 8332, 2085, 3186, 5448, 6975, 8520, 3897, 3293, 8224, 6715, 8628, 3742, 6176, 1621, 8149, 6219, 4069, 3680, 9206, 7457, 7357, 743, 6778, 4110, 1024, 754, 8547, 1822, 6677, 1043, 715, 6220, 6300, 4734, 9891, 6858, 6575, 5231, 3192, 4250, 5744, 3781, 3454, 4757, 7346, 4412, 2676, 5412, 8314, 8161, 1421, 5683, 961, 2714, 4711, 5361, 1545, 4493, 1611, 5807, 1654, 1252, 173, 6542, 8565, 8450, 2411, 6952, 3071, 4665, 1727, 2659, 7897, 2405, 8196, 2688, 1153, 918, 8665, 3522, 4441, 6826, 6166, 878, 5812, 3695, 2955, 3139, 1619, 2030, 1384, 3041, 3043, 3236, 1692, 4133, 6634, 6589, 1192, 311, 3626, 3369, 2273, 9507, 6987, 5487, 3779, 4238, 7941, 3495, 5503, 4889, 1055, 5132, 4618, 3301, 3690, 3183, 2741, 3007, 5662, 2933, 245, 1537, 8662, 7432, 5199, 7129, 2780, 1836, 3307, 5665, 8200, 666, 89, 6598, 399, 2535, 163, 7282, 7434, 4017, 4509, 2358, 2132, 3011, 6103, 408, 2155, 3812, 5108, 6608, 5716, 3883, 6377, 5262, 806, 6321, 8150, 784, 3954, 4372, 5821, 3203, 840, 7154, 9328, 1920, 1570, 187, 3248, 3859, 7811, 8577, 6751, 1837, 5183, 1549, 7922, 3290, 5833, 4428, 6188, 5966, 4329, 771, 7215, 4725, 7057, 4406, 5730, 2991, 1193, 7219, 1498, 1213, 3175, 1620, 3304, 6065, 8660, 3437, 3743, 1006, 4436, 4328, 7843, 432, 3775, 1828, 4894, 2297, 8893, 3155, 1785, 389, 8143, 5738, 3502, 3095, 8290, 6032, 2087, 1315, 2934, 5676, 1774, 7170, 4722, 7484, 9937, 7685, 2533, 1615, 2485, 4804, 6423, 2941, 6409, 3884, 1450, 8130, 6875, 62, 4540, 6466, 4162, 7014, 777, 4672, 5127, 8221, 3284, 1177, 3625, 910, 347, 8761, 1020, 2559, 7957, 8426, 6034, 4430, 2742, 534, 9207, 4355, 2042, 8180, 1869, 2628, 5057, 9268, 821, 1454, 8914, 6245, 2825, 4829, 3867, 1427, 8222, 6950, 6177, 595, 1322, 2704, 1039, 7360, 8446, 5698, 5286, 9938, 9353, 9565, 6557, 8247, 9046, 2497, 5977, 8335, 7376, 4791, 1728, 6893, 977, 2932, 1643, 2346, 3405, 6936, 4967, 6152, 1542, 6679, 8824, 5597, 590, 9017, 7483, 7925, 1600, 1524, 398, 6708, 3442, 2127, 8255, 7508, 1558, 8438, 5607, 49, 3965, 5595, 3054, 5883, 1900, 7410, 2944, 3930, 3783, 5098, 3923, 7740, 1569, 5249, 6464, 9161, 5761, 5747, 180, 244, 3546, 5206, 6529, 8920, 4998, 8679, 117, 5079, 5105, 7809, 6425, 8869, 2368, 5584, 5520, 3614, 6543, 1650, 6799, 5368, 1811, 7158, 80, 8198, 899, 8702, 5223, 5372, 135, 2395, 6749, 5414, 2069, 672, 116, 1602, 6186, 2019, 9421, 8594, 3818, 2736, 1609, 9405, 5858, 7413, 1091, 4778, 7211, 4089, 1954, 3162, 443, 3306, 2377, 6672, 6729, 6172, 433, 3255, 2619, 4012, 3799, 2510, 5835, 2637, 5060, 8239, 468, 5209, 4652, 2551, 2054, 5471, 9279, 4635, 3377, 5203, 4449, 3316, 2147, 8388, 5332, 883, 7965, 995, 8806, 1062, 2605, 7737, 3573, 6357, 7751, 330, 2415, 7056, 8100, 915, 6286, 3032, 246, 4418, 1310, 702, 4075, 4296, 4132, 6469, 8296, 5547, 6614, 6373, 1909, 607, 1413, 4633, 3364, 4549, 5855, 5522, 692, 7782, 5651, 5719, 816, 4554, 6140, 8389, 6298, 1559, 5349, 3943, 2435, 2201, 4240, 1571, 4706, 1011, 1461, 60, 6231, 1449, 388, 1637, 1815, 5322, 4411, 964, 8813, 2602, 8328, 5280, 2603, 2327, 8558, 6667, 1336, 451, 4784, 4625, 5932, 1151, 4504, 912, 5039, 2051, 3399, 8690, 740, 2601, 6983, 303, 6905, 1758, 2397, 1762, 5308, 3813, 359, 3767, 5598, 8917, 8385, 6719, 6484, 5364, 3514, 9175, 6547, 9054, 3801, 5971, 6439, 8654, 6294, 9265, 8961, 5920, 5283, 6254, 4622, 561, 3515, 955, 83, 5723, 3976, 2253, 3321, 6272, 5509, 7810, 223, 7382, 3890, 2647, 4393, 3516, 2441, 708, 1582, 5155, 6909, 6216, 709, 7778, 1432, 2566, 4962, 7148, 5610, 4518, 4044, 4943, 5401, 8093, 5040, 8266, 5116, 8804, 8846, 7525, 1099, 401, 667, 501, 5447, 1981, 6730, 7504, 3165, 8045, 3875, 7173, 7342, 8583, 7325, 5946, 8879, 5815, 4095, 3033, 1354, 5985, 3422, 1356, 8982, 1490, 7456, 8249, 1996, 4758, 6776, 4973, 2241, 2624, 1054, 2781, 4581, 1863, 2331, 8305, 2247, 1623, 5245, 1493, 3280, 3077, 4369, 5628, 8608, 1575, 5067, 5424, 5749, 2474, 8182, 1936, 5631, 3512, 2060, 4478, 6339, 882, 5934, 7319, 5351, 7670, 3243, 1749, 4029, 3326, 4859, 1825, 2307, 9020, 2407, 5671, 1473, 7677, 3719, 7307, 1104, 2819, 309, 7479, 634, 168, 617, 641, 6616, 3839, 1986, 3261, 4035, 3267, 3792, 6745, 2337, 7583, 8597, 729, 3487, 4094, 8866, 792, 8470, 8873, 5843, 4401, 2420, 2192, 1306, 3044, 5669, 8706, 8073, 2288, 3093, 1651, 5694, 5165, 2536, 8097, 2778, 6441, 4276, 241, 5037, 4610, 6156, 2866, 47, 5542, 2106, 2323, 285, 6687, 2008, 8268, 4223, 2271, 7065, 8516, 6623, 1799, 2373, 6926, 7564, 4134, 4020, 2011, 805, 9114, 3105, 1182, 5427, 3995, 2094, 58, 1627, 368, 2175, 6601, 4765, 7718, 999, 3776, 9135, 5066, 1458, 4503, 2354, 3342, 9031, 9651, 7815, 2171, 5143, 4559, 3396, 1438, 1731, 5573, 7510, 4984, 6583, 7004, 6980, 2016, 1168, 5485, 6130, 9057, 4285, 4860, 5170, 1824, 5, 7911, 4205, 6911, 7661, 3402, 8864, 6084, 2968, 3394, 3596, 9228, 9236, 9224, 1225, 5317, 5216, 1539, 2158, 1557, 3563, 6668, 8419, 1771, 7203, 1509, 8833, 812, 6379, 6698, 4337, 1065, 859, 3993, 4180, 7635, 8000, 8685, 3008, 1555, 3893, 3189, 9223, 3861, 1439, 2570, 8790, 8098, 9694, 8153, 476, 6477, 3947, 8017, 2185, 8457, 4045, 3015, 492, 256, 7591, 8559, 939, 658, 3462, 832, 3323, 5979, 5366, 2761, 1792, 3141, 6051, 8223, 4816, 63, 5919, 1280, 2196, 6078, 791, 5140, 2852, 5965, 1805, 1387, 9072, 7100, 3780, 6782, 9067, 2892, 8609, 4218, 6593, 4902, 6315, 3549, 4233, 6823, 3676, 1459, 7954, 6182, 3439, 1183, 3593, 4856, 5708, 689, 5955, 7613, 6688, 8276, 1526, 6204, 4387, 7725, 2010, 2293, 7384, 1580, 7501, 1515, 1741, 157, 4795, 5004, 880, 1111, 7636, 412, 3644, 2524, 1780, 7423, 4667, 1311, 4174, 1750, 7868, 9179, 6312, 293, 4675, 5569, 1634, 9470, 1720, 9108, 1901, 4548, 7949, 1779, 6003, 7401, 781, 6753, 2163, 7666, 4721, 7350, 772, 7962, 7103, 3592, 8704, 5980, 5632, 1687, 8038, 789, 1763, 753, 3383, 6248, 5449, 3619, 8496, 3655, 6526, 3506, 2858, 6945, 6828, 1420, 3051, 6016, 7561, 3642, 2080, 8042, 1497, 7468, 6256, 6920, 5077, 8151, 7010, 7570, 3156, 1344, 8762, 6134, 7281, 6561, 742, 5981, 9126, 774, 7055, 2789, 439, 4535, 3732, 5042, 1646, 2745, 3501, 6352, 2037, 7694, 8486, 7206, 8281, 2339, 8118, 1700, 695, 891, 2282, 5649, 788, 2548, 9349, 2674, 5544, 5502, 7662, 7572, 8698, 2137, 383, 2668, 1392, 2516, 8410, 1245, 1708, 1667, 6880, 1134, 3387, 1547, 6752, 1248, 1798, 1077, 5482, 4344, 8723, 7552, 9036, 2092, 2631, 4371, 4918, 4298, 1141, 3702, 4402, 5693, 4072, 4891, 7330, 5191, 7553, 7191, 6029, 6626, 7335, 2872, 7833, 4364, 3012, 3935, 6579, 6984, 6868, 2223, 767, 9032, 8508, 1037, 2996, 1851, 2824, 9705, 1267, 2841, 7867, 6962, 4951, 6857, 8105, 836, 2936, 270, 1703, 1044, 4404, 618, 4561, 2270, 5602, 423, 834, 9024, 2882, 480, 7503, 7169, 1352, 5097, 8635, 5896, 2280, 2187, 4536, 855, 6056, 1655, 8020, 2573, 6534, 553, 5624, 7341, 6366, 3045, 4658, 4138, 5840, 700, 3197, 5779, 8109, 6819, 6533, 9595, 6993, 8120, 3532, 7513, 4247, 3750, 3752, 760, 1188, 1878, 5026, 537, 2754, 4752, 7567, 3968, 1072, 7651, 764, 6478, 4370, 4230, 3332, 5495, 8862, 799, 428, 8830, 6655, 3957, 3741, 4753, 6279, 5028, 2021, 8991, 2018, 7796, 1232, 2837, 2822, 5852, 6795, 638, 1807, 1386, 7890, 6288, 3427, 8379, 5044, 8284, 4158, 1341, 8340, 2820, 8252, 4448, 8075, 8781, 1218, 1613, 8504, 1305, 1138, 4289, 2669, 7748, 6861, 1501, 5603, 2775, 4940, 4004, 9127, 6157, 9699, 846, 3040, 9109, 190, 919, 1227, 2544, 2184, 1090, 2575, 8167, 2228, 3269, 3668, 2230, 1223, 4593, 6619, 7678, 5031, 4774, 1057, 3673, 2878, 8540, 8809, 2413, 5480, 1426, 4129, 5772, 7791, 887, 6149, 6889, 212, 801, 2475, 1181, 1614, 2161, 6446, 908, 8015, 1186, 6211, 3760, 3951, 6389, 115, 6124, 9903, 460, 3225, 4600, 3624, 445, 9147, 4930, 8112, 9804, 3936, 6052, 7092, 8204, 4487, 731, 7437, 8611, 5589, 6754, 3482, 2856, 6966, 4873, 7970, 2272, 3576, 3312, 3677, 2317, 1578, 4463, 5767, 2324, 2901, 5218, 5217, 1292, 7797, 4061, 4529, 3099, 5421, 231, 7598, 345, 3796, 1871, 6874, 2033, 2414, 7446, 1069, 8753, 2902, 7841, 8085, 5876, 3268, 6840, 7132, 1301, 706, 3603, 3996, 7825, 3521, 5149, 1520, 552, 7656, 1951, 3227, 2937, 5664, 3731, 9154, 2864, 3791, 6030, 3606, 470, 4737, 2022, 1078, 9465, 9381, 2912, 6280, 9657, 7926, 8393, 2744, 8146, 545, 976, 7916, 5356, 1984, 2305, 6759, 4955, 1002, 8298, 2315, 2798, 7889, 5964, 841, 2045, 8114, 1993, 8819, 9518, 7124, 982, 2238, 5272, 7128, 5348, 4908, 5178, 4392, 8727, 4080, 5159, 2596, 3566, 7969, 4921, 2165, 6153, 4444, 6375, 6353, 2205, 1175, 1516, 6141, 6006, 7453, 3570, 394, 5745, 2455, 6584, 1286, 8106, 4410, 9291, 8031, 8528, 1482, 209, 6382, 6223, 6512, 8664, 1983, 8064, 8185, 0, 487, 1995, 7067, 8935, 1479, 4683, 8070, 5142, 5758, 5083, 6954, 4381, 4938, 8403, 2143, 6633, 6191, 652, 8325, 6241, 2499, 8569, 7245, 2638, 2176, 3832, 1850, 5644, 4988, 6398, 5633, 6237, 9508, 8304, 8675, 7125, 6650, 6356, 7420, 4173, 4689, 6631, 6972, 9093, 2195, 4947, 6853, 4048, 884, 2597, 7262, 8066, 1496, 8529, 6965, 7870, 2599, 4914, 2593, 6215, 8016, 2335, 7856, 5362, 5052, 9604, 7827, 5063, 3373, 6856, 4455, 1772, 61, 3374, 8242, 2900, 261, 7546, 318, 8343, 3565, 1205, 671, 3836, 2370, 4066, 4481, 5672, 355, 6076, 1870, 3572, 6639, 8336, 5381, 9015, 5586, 6849, 897, 6502, 8096, 8921, 8144, 5353, 4375, 3825, 6171, 1244, 3530, 2079, 7255, 714, 7366, 7620, 9156, 7294, 2509, 5850, 1579, 997, 6194, 1038, 1312, 7592, 1845, 8421, 9625, 8550, 6407, 8847, 8229, 6594, 1648, 5734, 8644, 1907, 3228, 3909, 2379, 3083, 9, 4720, 7976, 2013, 3474, 7989, 3541, 6160, 8652, 8519, 5752, 2418, 8737, 3682, 2102, 7229, 7009, 8861, 7244, 457, 3961, 1924, 7198, 2719, 410, 5793, 8392, 7596, 5904, 7823, 7238, 5120, 2468, 9085, 9749, 7435, 8897, 2294, 6378, 4036, 5489, 7955, 8568, 5655, 2088, 6207, 3361, 4701, 420, 269, 4617, 833, 7059, 6890, 4091, 1765, 6227, 9079, 8807, 7788, 5803, 4685, 2110, 690, 195, 6308, 15, 5967, 5670, 4996, 1626, 7655, 6738, 3934, 7399, 3857, 642, 39, 6039, 5408, 1240, 9002, 4231, 2007, 5820, 1371, 8793, 8462, 6138, 7300, 8640, 7247, 8689, 2811, 922, 6080, 8434, 698, 4016, 7836, 3933, 434, 886, 2440, 6824, 7239, 1212, 5754, 2310, 802, 1994, 1132, 2059, 4141, 7971, 7728, 6121, 6257, 4092, 8549, 4245, 8027, 7178, 3972, 2426, 737, 9536, 4468, 519, 7161, 8578, 8145, 9670, 3600, 8953, 7034, 6871, 932, 3710, 3392, 6735, 4274, 6345, 5637, 7490, 4454, 8397, 2523, 206, 7419, 377, 5984, 217, 2722, 1028, 4269, 1675, 2943, 2090, 4037, 8135, 6888, 1109, 594, 6540, 1464, 2964, 7388, 6266, 4172, 6620, 1437, 1978, 2052, 4263, 1296, 7520, 7979, 1408, 7761, 4083, 2343, 8590, 1276, 7470, 8499, 3078, 2579, 6611, 6714, 2027, 5933, 1514, 5825, 8490, 1859, 6392, 6383, 3247, 22, 624, 5635, 1137, 497, 6417, 6793, 7524, 3315, 6047, 8771, 338, 3406, 7617, 6697, 9091, 38, 8911, 6898, 9118, 1519, 5689, 1726, 7023, 3298, 6429, 8552, 9836, 3650, 3208, 6158, 6396, 5164, 142, 4729, 8747, 4019, 1755, 8025, 7577, 7848, 4727, 4257, 1243, 6011, 6600, 6722, 6702, 1809, 8466, 333, 2188, 7252, 6999, 5525, 992, 8988, 2796, 5114, 1712, 5343, 4926, 6723, 2795, 6102, 3319, 3513, 1390, 98, 4292, 746, 4990, 6031, 6562, 2073, 5914, 1233, 103, 1644, 1974, 8997, 1185, 6552, 2291, 5072, 1060, 4309, 8231, 8676, 2564, 2416, 631, 8160, 5838, 283, 9180, 7724, 5128, 156, 2419, 7544, 2693, 8584, 3249, 7569, 1393, 5405, 6832, 4991, 3623, 1273, 6906, 9167, 418, 4805, 4941, 7250, 88, 7784, 2200, 8949, 5606, 4704, 1277, 6015, 7937, 6198, 42, 8005, 6929, 520, 9350, 5050, 1973, 4531, 502, 1143, 199, 5010, 3560, 4647, 7507, 7414, 9071, 7054, 2014, 1407, 3115, 6863, 3763, 7720, 6885, 7288, 1285, 8777, 4917, 9100, 748, 5851, 2567, 1480, 3266, 5439, 1417, 7041, 1359, 3990, 396, 3470, 1953, 783, 477, 4480, 19, 4170, 994, 3000, 2834, 8603, 5393, 2675, 8148, 5740, 4088, 18, 5457, 1860, 281, 4084, 3567, 1794, 717, 1401, 8683, 9766, 3295, 9519, 9669, 5895, 2471, 4986, 2381, 7351, 310, 5443, 2119, 131, 8788, 6852, 1115, 2167, 838, 4258, 2181, 4331, 339, 3390, 5468, 7122, 2993, 6577, 6324, 8101, 1023, 9720, 6132, 8730, 7816, 2389, 944, 8999, 3060, 6648, 7807, 6956, 6401, 6415, 6276, 4803, 5213, 8323, 7857, 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4806, 5088, 5536, 7877, 8429, 491, 6360, 1064, 6238, 5739, 4318, 1016, 1395, 5756, 6461, 8331, 1326, 9246, 5572, 5865, 7210, 3492, 158, 1379, 5326, 8838, 1759, 349, 2598, 3536, 9218, 1841, 6399, 4585, 5271, 7560, 554, 522, 4320, 387, 5162, 1831, 350, 2498, 3103, 1830, 565, 7069, 1035, 7585, 4135, 7626, 1279, 6363, 5609, 5928, 568, 324, 2423, 696, 5247, 8755, 937, 4906, 6393, 1201, 1721, 8488, 5013, 9823, 5688, 8696, 7943, 8427, 1403, 5402, 4881, 7987, 6732, 82, 5121, 2062, 9734, 8155, 5163, 3830, 4391, 1291, 5556, 9356, 1162, 164, 2577, 2425, 4317, 6195, 3468, 147, 1552, 9758, 4864, 4530, 4488, 6864, 300, 8729, 4052, 4896, 2666, 4732, 2874, 7062, 7798, 4299, 5931, 2859, 411, 8645, 8422, 171, 6390, 8992, 4558, 7232, 7058, 3896, 6304, 1677, 6203, 3143, 1941, 7528, 8013, 8291, 8875, 7042, 7134, 2792, 1770, 2136, 1095, 4213, 6674, 1842, 6432, 1270, 7408, 2117, 5930, 1714, 8601, 5959, 2604, 290, 7404, 7380, 6290, 1298, 2828, 3490, 9403, 7463, 907, 8579, 7964, 7242, 7716, 8943, 3907, 9603, 3688, 351, 1003, 9195, 5115, 1581, 3092, 6665, 3028, 240, 4759, 3607, 249, 8301, 4445, 2905, 7899, 6456, 2275, 3920, 540, 4335, 862, 322, 2939, 1396, 2709, 1466, 1977, 2560, 9573, 7527, 680, 662, 7933, 1086, 1649, 4222, 3850, 6517, 5087, 6772, 1184, 3864, 8906, 7660, 7861, 8825, 3009, 8086, 3561, 6000, 2670, 85, 2945, 1922, 7665, 7068, 7318, 9052, 363, 6371, 248, 6454, 7539, 3381, 6342, 8303, 4556, 8860, 8481, 2048, 395, 1288, 8329, 6554, 213, 3206, 8166, 4300, 3022, 7896, 1334, 7389, 7713, 7151, 8629, 4347, 1553, 990, 6921, 7689, 2133, 4496, 2000, 7902, 2810, 3578, 7918, 4813, 5540, 4467, 2839, 1586, 5795, 3558, 810, 8498, 386, 6733, 6741, 8171, 7550, 2216, 7895, 4295, 371, 6567, 8493, 5888, 3445, 110, 7830, 646, 6520, 1706, 7760, 4575, 7509, 5493, 204, 2483, 3966, 4307, 1766, 1052, 4396, 2284, 4567, 385, 3852, 2015, 400, 7277, 3634, 9498, 6403, 2952, 2347, 8065, 712, 8311, 5611, 5168, 3816, 9627, 2082, 8359, 3367, 7765, 551, 5961, 1031, 5328, 36, 8034, 5202, 5371, 2973, 9674, 1083, 317, 21, 4975, 8295, 6412, 2375, 2264, 336, 7835, 8865, 8986, 37, 962, 3023, 1029, 3564, 3962, 4287, 119, 108, 8023, 8265, 9442, 8220, 1008, 6835, 6239, 4772, 3086, 1114, 4146, 2063, 6273, 8362, 1808, 7119, 4744, 639, 2768, 4242, 8207, 5373, 2562, 905, 1642, 945, 1237, 2066, 2025, 5759, 6613, 3193, 1328, 7314, 2151, 1448, 234, 4423, 6807, 5181, 5922, 7966, 9426, 4820, 2505, 2563, 6992, 112, 2984, 4560, 6433, 8430, 2259, 665, 174, 904, 9557, 7642, 2923, 7461, 273, 8681, 5197, 2538, 7139, 4780, 6004, 7080, 6960, 5071, 7887, 2254, 2976, 4596, 2610, 7789, 7522, 8795, 1455, 146, 9097, 7744, 730, 9567, 803, 7648, 4599, 538, 8930, 5999, 5781, 9437, 7885, 3163, 2904, 7781, 373, 6948, 8744, 7986, 1769, 8240, 5531, 705, 1041, 973, 6438, 5715, 2773, 1930, 9222, 5769, 6699, 6537, 5780, 610, 6908, 6892, 3790, 4869, 3584, 1171, 9725, 430, 5796, 5256, 2969, 2255, 925, 8404, 9750, 5836, 1748, 8425, 7491, 4613, 6450, 1303, 7187, 3450, 9362, 3441, 627, 633, 5369, 9693, 1734, 5354, 2365, 2807, 8533, 7783, 7363, 6760, 7476, 6635, 3974, 1988, 1737, 9073, 8142, 1063, 7548, 3414, 3479, 3153, 6067, 8657, 5385, 1782, 5585, 3724, 5889, 8831, 1998, 558, 16, 960, 684, 2256, 956, 7878, 4958, 5397, 2530, 9337, 1368, 8760, 8127, 4314, 5583, 2031, 8084, 4260, 7892, 4512, 5770, 8798, 4699, 5291, 1773, 6457, 7639, 6325, 8886, 557, 5082, 4041, 785, 1556, 721, 4175, 354, 2746, 4010, 741, 5138, 2790, 1129, 9752, 8399, 5094, 8705, 7044, 5432, 7575, 5588, 3271, 2382, 2252, 1284, 8882, 1854, 6064, 7992, 3747, 5641, 9104, 8244, 3333, 3879, 3554, 6021, 8900, 1938, 3640, 2800, 2706, 5243, 8041, 2430, 3324, 3460, 1803, 7771, 6628, 3472, 7498, 7629, 29, 9137, 417, 5224, 3239, 2576, 4150, 584, 9402, 7690, 2108, 8201, 141, 9908, 8709, 8944, 2797, 7297, 2616, 6891, 8853, 512, 1665, 8725, 4818, 6462, 5248, 6142, 3969, 7013, 2431, 687, 7698, 7924, 8205, 9271, 5379, 4374, 2104, 560, 750, 971, 3819, 2942, 8823, 7320, 6168, 1884, 7193, 6998, 3604, 4312, 1713, 2627, 4687, 8910, 4228, 4847, 2914, 9025, 6137, 4070, 91, 4811, 2620, 1346, 6935, 2956, 2851, 2816, 6306, 267, 64, 7018, 6621, 2692, 238, 6563, 3807, 4352, 608, 787, 7945, 9189, 586, 9736, 2855, 3585, 3297, 4893, 1209, 3273, 307, 4431, 8880, 829, 1591, 6408, 8757, 4909, 9080, 8780, 2400, 6059, 567, 8593, 2445, 4629, 2756, 8787, 6192, 2341, 253, 8049, 958, 2134, 5146, 8912, 3915, 6169, 7131, 3241, 6229, 7874, 3138, 8714, 7736, 1969, 6167, 9911, 5623, 5743, 2056, 7624, 4817, 7794, 5501, 459, 1202, 1139, 6035, 5001, 9909, 7327, 1972, 8350, 5828, 3681, 1820, 3800, 4236, 7305, 8545, 5581, 366, 6548, 2001, 1868, 9504, 6337, 5856, 5726, 6292, 2098, 6505, 3020, 7060, 4910, 7517, 920, 1320, 7727, 9878, 4598, 2730, 7913, 8416, 9345, 2074, 5407, 4350, 6225, 6494, 7167, 1148, 747, 2677, 192, 3281, 8694, 8191, 4316, 7107, 5298, 2385, 656, 2527, 2893, 409, 4204, 3687, 4747, 4188, 4937, 4155, 7549, 2766, 228, 675, 498, 2776, 3347, 1670, 3788, 7932, 6483, 2285, 3167, 3505, 1366, 8285, 5937, 9146, 8616, 2850, 4569, 669, 2482, 1424, 8364, 5533, 935, 7693, 4043, 1116, 9172, 8841, 693, 6105, 9947, 7302, 7343, 7359, 1879, 9160, 4700, 4282, 5174, 7961, 6604, 9526, 5312, 469, 1662, 7171, 1370, 5263, 7497, 8874, 3575, 9975, 7431, 6678, 9408, 8938, 6886, 2214, 3338, 8843, 6482, 2295, 8855, 7977, 6596, 8479, 9590, 4920, 7657, 569, 8484, 6049, 3048, 3434, 8341, 5508, 3843, 953, 9198, 7795, 3720, 2262, 3931, 8483, 769, 5854, 511, 3355, 8684, 2853, 3991, 2639, 7150, 1215, 9537, 6023, 1300, 1281, 3466, 6712, 524, 7030, 4952, 7919, 825, 2159, 7296, 275, 8424, 7959, 3184, 6937, 811, 7802, 1005, 4601, 5201, 8940, 415, 9009, 7213, 3871, 9876, 5686, 6459, 6813, 5762, 1102, 6878, 3835, 8288, 7601, 6491, 3550, 4632, 4450, 5675, 966, 2479, 276, 4139, 4913, 8688, 8642, 87, 3868, 2919, 4587, 8844, 2804, 1080, 6316, 2091, 1832, 1313, 2493, 2977, 9066, 648, 1656, 4187, 9215, 413, 1912, 1862, 1199, 2630, 4884, 8726, 9111, 8076, 8258, 6116, 1776, 902, 3552, 7175, 7948, 8192, 9617, 5304, 6201, 474, 8211, 4586, 8556, 1717, 1484, 57, 5296, 9063, 513, 2489, 2987, 3559, 2436, 814, 5524, 5661, 5136, 9102, 70, 8851, 4097, 2922, 6265, 7093, 66, 6515, 5991, 3178, 6507, 875, 193, 482, 9458, 7837, 7328, 3661, 8983, 7674, 196, 4378, 9907, 9316, 8658, 4619, 4865, 9915, 3296, 444, 3568, 2429, 4563, 869, 8026, 6833, 2763, 4639, 6802, 7040, 9178, 4528, 2753, 4420, 8492, 7582, 2949, 6397, 6205, 3085, 1504, 2260, 8564, 6684, 1152, 3834, 3419, 6979, 7707, 6580, 5737, 44, 3250, 286, 3899, 1015, 7398, 3449, 612, 1108, 1294, 7799, 8638, 7145, 3833, 7418, 691, 3345, 2836, 40, 8382, 8721, 3180, 2263, 4513, 8974, 874, 5702, 227, 9150, 2146, 6340, 8711, 3129, 5882, 7804, 8877, 3694, 9738, 3109, 4039, 8495, 4074, 6924, 5299, 1017, 6701, 8927, 7415, 370, 6612, 84, 1849, 858, 4221, 1775, 2646, 9441, 7292, 761, 6136, 7958, 319, 9029, 201, 4584, 3251, 8814, 7029, 5969, 1451, 8562, 9034, 7424, 7876, 129, 3820, 3221, 5027, 1189, 4499, 8232, 9193, 9637, 5085, 9130, 4207, 2975, 8871, 7266, 7622, 7832, 8337, 4284, 3378, 5648, 8734, 796, 6334, 1242, 8969, 8058, 4451, 7474, 2321, 664, 7166, 1230, 574, 8794, 7946, 4049, 6341, 5548, 1940, 8176, 6846, 6550, 5735, 4064, 7910, 9006, 2150, 1441, 348, 2931, 1423, 8315, 2179, 8334, 1970, 1705, 4852, 6829, 5276, 8215, 8140, 3854, 6524, 2885, 3435, 8398, 6443, 3038, 6717, 7939, 4470, 7290, 6301, 3463, 483, 4523, 7759, 629, 3476, 3755, 1898, 7072, 4243, 1229, 2248, 2024, 7704, 6900, 1876, 2141, 603, 9675, 9661, 8701, 6498, 79, 5000, 2029, 343, 6473, 406, 1939, 6250, 4809, 5515, 8950, 6844, 4874, 453, 9117, 4542, 9958, 4357, 9003, 6213, 1883, 9012, 1025, 2473, 7766, 3031, 8785, 6374, 8090, 3921, 9686, 5864, 484, 6081, 9027, 295, 5561, 1033, 8716, 2737, 4149, 3362, 7225, 4712, 258, 8551, 2107, 8546, 214, 7322, 5990, 3837, 6082, 2953, 8010, 5563, 7703, 5415, 5652, 8592, 1495, 2808, 556, 2747, 6644, 5324, 4152, 1004, 3366, 23, 3382, 1211, 8250, 8561, 8829, 8063, 2433, 5949, 5612, 7512, 7026, 441, 9288, 8107, 5823, 845, 8371, 9703, 9697, 479, 3311, 7143, 8832, 532, 7317, 9886, 8218, 4842, 4169, 1573, 7643, 9433, 3645, 3948, 3691, 2875, 7653, 9163, 4746, 8159, 9007, 1797, 765, 6122, 8713, 1253, 515, 4368, 7927, 3001, 756, 2979, 304, 7863, 682, 2897, 6767, 2396, 6508, 7362, 1530, 967, 5805, 8596, 957, 7722, 5910, 1760, 8567, 8720, 3946, 3168, 8320, 5792, 8253, 1443, 8141, 8574, 5484, 8259, 6913, 6506, 92, 1595, 9214, 7745, 7746, 9021, 8354, 1967, 6981, 9162, 6175, 9682, 2, 8712, 6907, 2130, 4841, 8598, 508, 9807, 3185, 3777, 9894, 1251, 7473, 3535, 649, 877, 8019, 1377, 5768, 6347, 3191, 9056, 8965, 795, 7251, 6968, 8292, 6263, 9788, 9540, 6763, 6510, 655, 744, 4096, 517, 3002, 7934, 4479, 5714, 7259, 65, 5002, 8619, 9884, 7394, 5706, 34, 7960, 4621, 7828, 6283, 3014, 6944, 6349, 9373, 9061, 7806, 5666, 969, 8554, 8030, 4315, 987, 1323, 1827, 3407, 5677, 5099, 620, 1486, 7920, 2642, 3534, 6268, 7709, 8573, 6850, 8916, 5736, 4394, 7053, 4971, 8190, 6329, 530, 9629, 1689, 2554, 7231, 8302, 3653, 8241, 622, 9610, 4203, 297, 7180, 1130, 531, 2438, 4030, 3477, 1494, 6154, 6183, 6766, 3395, 1685, 9731, 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6982, 5883, 5607, 8098, 4135, 5095, 4898, 1153, 1594, 433, 2886, 5210, 6708, 1571, 2570, 6490, 5552, 5390, 6619, 3413, 9664, 3913, 7813, 8636, 6288, 910, 3860, 5207, 1059, 2080, 5761, 1180, 1186, 6451, 3375, 1622, 7949, 6124, 4679, 99, 3725, 8676, 6908, 7869, 8203, 5328, 923, 8768, 6563, 9073, 4036, 5380, 4659, 1854, 3390, 542, 4467, 8565, 5822, 932, 5329, 7121, 9223, 1101, 5520, 8455, 6122, 303, 2869, 4721, 8448, 122, 8497, 822, 3130, 7890, 1803, 258, 1637, 8575, 1078, 8866, 8427, 3989, 8284, 4026, 5920, 9540, 4416, 3569, 3833, 1106, 3407, 5040, 5383, 6942, 8855, 7230, 8073, 2734, 903, 3780, 991, 4224, 1319, 3486, 8825, 958, 2057, 1962, 6495, 4231, 8127, 7201, 2883, 4308, 8389, 443, 7101, 7476, 6609, 479, 4252, 7404, 5589, 832, 2317, 3050, 964, 6090, 6048, 8466, 3243, 9861, 4949, 7658, 3429, 7649, 9459, 1348, 6781, 2598, 9431, 1103, 8982, 1763, 7896, 5202, 3857, 7125, 9949, 2141, 3502, 4393, 8192, 1689, 1435, 6983, 2814, 6277, 7833, 4595, 463, 8007, 6687, 926, 3884, 7790, 821, 8931, 4448, 9436, 7863, 5706, 5701, 2328, 6267, 1928, 1196, 50, 272, 6171, 2448, 4476, 3795, 2410, 4554, 8224, 8910, 2939, 908, 4745, 6625, 4570, 4188, 3955, 7659, 1986, 5318, 2471, 2288, 4317, 4795, 2962, 249, 9357, 8757, 3830, 2885, 7831, 5280, 5086, 9049, 6056, 288, 4834, 9629, 256, 1457, 2457, 6872, 8739, 1202, 584, 1432, 1901, 7632, 7711, 1236, 4755, 1232, 2703, 7999, 5600, 2577, 609, 4998, 5580, 3498, 2175, 7825, 8170, 1845, 98, 5919, 2004, 2130, 8849, 2160, 1240, 1242, 6377, 87, 7482, 4402, 6522, 4153, 2034, 1067, 4623, 3025, 2738, 4702, 6130, 7598, 7414, 933, 4296, 5464, 1133, 4618, 6133, 2331, 1691, 599, 7108, 1651, 1182, 1347, 8781, 6753, 4340, 4798, 693, 8107, 8133, 1496, 1516, 2998, 9341, 130, 1813, 6614, 3068, 573, 4175, 1021, 334, 8146, 5530, 6867, 5097, 789, 329, 3988, 2632, 9940, 2203, 3487, 5111, 1756, 1565, 3522, 8268, 6570, 561, 9418, 9554, 4254, 1564, 3500, 7070, 8012, 9080, 2732, 8135, 8426, 7778, 8062, 6668, 44, 4594, 788, 4303, 9379, 5128, 5072, 6336, 4688, 7149, 3115, 7376, 8093, 2332, 4284, 1019, 9108, 9411, 417, 54, 9068, 6891, 7354, 8072, 6912, 4020, 4534, 3242, 8556, 4706, 2837, 4518, 1473, 6881, 7938, 2313, 2446, 6141, 8079, 259, 620, 3890, 8668, 3206, 2986, 9662, 7277, 410, 5542, 6641, 7298, 248, 1190, 1617, 4913, 5430, 510, 1522, 8519, 5317, 2435, 4765, 5172, 611, 7805, 2016, 6447, 3032, 7274, 3620, 3345, 7069, 1970, 3044, 7396, 7346, 5765, 2242, 8545, 7779, 2221, 1573, 4182, 1758, 2929, 500, 5010, 2000, 1951, 5832, 6739, 5440, 7379, 1553, 9909, 5744, 6651, 7993, 4434, 1022, 6900, 7756, 8319, 8037, 7509, 5045, 8498, 5970, 4736, 7566, 37, 5108, 47, 3120, 6075, 1634, 4479, 2473, 4073, 1248, 3669, 731, 4610, 6672, 8861, 8262, 3750, 2200, 537, 7772, 432, 8249, 8617, 7347, 2307, 687, 6945, 5291, 2751, 3829, 6585, 6481, 8549, 4788, 244, 530, 7169, 3872, 1420, 57, 9806, 7809, 5050, 456, 3661, 919, 1115, 2254, 4098, 1940, 1613, 1537, 9562, 5403, 855, 450, 7323, 7423, 8035, 1884, 5868, 7367, 2195, 6599, 3096, 4163, 959, 9043, 6842, 846, 6457, 8432, 6775, 6890, 5573, 6623, 6724, 3056, 8365, 7294, 2084, 3414, 9071, 5361, 2960, 4763, 6612, 1815, 278, 4611, 4097, 8654, 2834, 2177, 6899, 3548, 1454, 9144, 1203, 6723, 4298, 7110, 2597, 1975, 6628, 7908, 6254, 2300, 3156, 871, 2192, 7735, 6438, 2238, 7941, 9862, 8536, 1274, 5752, 3488, 1559, 3893, 8070, 1586, 8410, 5989, 3575, 1427, 3732, 3836, 3144, 8759, 6172, 890, 790, 7042, 7555, 4992, 6689, 8034, 8518, 8482, 6859, 5336, 5770, 2037, 608, 4472, 9780, 311, 1936, 6875, 5660, 1969, 5031, 5513, 2283, 1886, 2810, 3099, 7865, 4370, 8602, 1414, 8608, 4758, 110, 8840, 1911, 8579, 325, 8390, 3226, 3012, 1296, 4901, 1880, 5656, 5678, 4286, 7820, 5795, 994, 6741, 6160, 3169, 4540, 60, 5662, 4068, 6156, 7094, 3968, 3567, 5479, 7297, 5502, 642, 7493, 972, 2902, 921, 7906, 5203, 1466, 2693, 3430, 6170, 6887, 6533, 4887, 1633, 7728, 2831, 4080, 1069, 5187, 7385, 8411, 2943, 1053, 7287, 6145, 7524, 2719, 5505, 2033, 6502, 4725, 3227, 2085, 8367, 5491, 712, 2493, 7861, 7442, 1806, 8385, 9858, 870, 8479, 5356, 2815, 8109, 6692, 1772, 5723, 9561, 7952, 6868, 1493, 8552, 7944, 7989, 4948, 6392, 5693, 4280, 1731, 5633, 2339, 2966, 9116, 7845, 2579, 8728, 2438, 1071, 887, 550, 7635, 233, 4480, 4596, 9636, 6926, 3828, 7382, 5206, 1523, 9737, 6995, 1393, 5249, 3825, 427, 6787, 4283, 187, 2003, 8858, 2590, 4072, 692, 9157, 960, 1467, 2136, 6022, 5480, 1678, 8751, 2398, 2639, 8000, 5679, 7418, 2788, 8864, 2074, 1898, 4141, 8796, 237, 583, 161, 3351, 393, 7549, 4615, 6454, 2746, 8578, 1834, 3516, 801, 2188, 5904, 8075, 3411, 2504, 263, 3394, 1536, 6878, 1282, 6972, 2431, 1939, 451, 2613, 5972, 8963, 9195, 5526, 17, 3746, 1404, 3398, 2275, 2464, 2043, 3087, 5734, 2087, 7749, 8112, 6211, 6909, 480, 3586, 6418, 4251, 5821, 8044, 5559, 9034, 9180, 132, 227, 3011, 5332, 5747, 7436, 5115, 171, 8870, 7627, 3083, 2741, 2900, 6347, 4499, 5843, 4894, 2161, 4511, 3302, 8002, 3864, 3129, 2318, 1596, 5439, 3633, 7456, 6192, 8661, 7724, 8420, 1292, 1705, 5595, 9620, 8932, 5435, 5047, 5215, 1557, 2923, 4991, 8148, 8803, 7736, 1218, 1904, 5979, 79, 8990, 2207, 2754, 5759, 955, 6074, 4041, 760, 2796, 9193, 2684, 9135, 1439, 545, 7148, 8343, 6631, 2673, 2841, 5378, 5307, 8388, 3840, 5838, 6398, 382, 4081, 4150, 7350, 5087, 5570, 3358, 8229, 9189, 6733, 739, 1217, 5687, 819, 5216, 4268, 6795, 4668, 1350, 8601, 6383, 1556, 4124, 2053, 5722, 3295, 566, 4211, 275, 5836, 6861, 4914, 2842, 6552, 7128, 7876, 2125, 6579, 7081, 403, 5156, 7777, 9109, 1212, 2414, 8238, 2602, 7459, 6193, 6248, 5635, 8646, 4911, 5374, 3183, 6375, 2654, 6027, 3849, 2172, 3625, 6098, 6517, 2019, 4687, 8031, 9810, 3609, 3188, 6624, 4723, 209, 281, 3779, 1247, 3993, 2524, 5000, 1993, 2115, 1862, 5860, 3545, 2441, 9941, 1118, 1801, 1868, 6050, 4, 3292, 4701, 468, 9276, 6119, 9567, 5138, 1655, 8398, 7419, 5606, 4990, 1820, 6857, 560, 8036, 1175, 5791, 6255, 5897, 7131, 5377, 597, 8334, 7353, 9460, 3331, 5106, 7937, 6363, 5331, 5470, 9563, 4324, 4568, 5655, 2882, 5726, 8706, 8256, 5790, 8520, 506, 4010, 3272, 1812, 3109, 6634, 6760, 4034, 2138, 6545, 7796, 1392, 8123, 734, 3483, 2895, 1983, 1860, 5964, 277, 6576, 9199, 4126, 1102, 6274, 4593, 1312, 8629, 3282, 1251, 8997, 5991, 8490, 4592, 689, 7690, 5142, 8340, 5055, 2411, 46, 3837, 6426, 6146, 5259, 3085, 8281, 2951, 2347, 1894, 7158, 3443, 4984, 6345, 3041, 9509, 1145, 3652, 4438, 8376, 4143, 9179, 1647, 4066, 3724, 8502, 1301, 1720, 4329, 802, 3216, 4233, 3606, 9736, 3995, 6727, 9315, 2791, 6770, 9184, 8215, 4561, 4492, 2468, 6953, 7325, 4409, 996, 6662, 3902, 3697, 5105, 6280, 7267, 1272, 5014, 6883, 5615, 7664, 3755, 968, 2315, 2846, 4006, 4633, 7319, 7797, 7776, 3166, 7351, 1985, 3636, 8621, 3222, 3401, 8606, 6113, 8144, 3075, 7389, 8532, 7496, 5437, 112, 7740, 2294, 3793, 2977, 2302, 928, 9110, 4130, 8254, 5576, 1097, 5201, 5326, 4566, 7895, 8563, 6207, 8164, 4602, 7992, 7139, 1994, 260, 350, 1623, 3259, 1108, 1189, 5716, 4910, 2607, 7034, 3209, 8921, 464, 6051, 9967, 2132, 6737, 8310, 4632, 5081, 7636, 7717, 4876, 6215, 5952, 2079, 2722, 8581, 7698, 4044, 5191, 5592, 9956, 7308, 3158, 7950, 164, 9871, 4943, 2409, 6824, 4940, 150, 2382, 3897, 2050, 4279, 8163, 3971, 6266, 4955, 7045, 5857, 8856, 3518, 1100, 9612, 5423, 7028, 7798, 3592, 7814, 3163, 8699, 9769, 848, 957, 9042, 6429, 4924, 6874, 8999, 1234, 8972, 7457, 1089, 3933, 10, 6257, 9069, 3996, 1520, 6575, 4119, 1029, 5758, 2167, 532, 6420, 1652, 1579, 2206, 7027, 2419, 8474, 5858, 3002, 5360, 2603, 8149, 2304, 7016, 6480, 6060, 9685, 6157, 4848, 2690, 9472, 1030, 8122, 5343, 6604, 725, 2280, 2830, 7976, 5447, 6958, 7529, 2924, 1340, 332, 5612, 7365, 6191, 7660, 5221, 6605, 6849, 2045, 2605, 7666, 1646, 3203, 676, 9557, 156, 1270, 6554, 1530, 5243, 6469, 1424, 6129, 3979, 8342, 3663, 2325, 9521, 990, 5424, 7262, 3273, 1438, 6675, 1407, 8106, 6602, 7948, 3321, 754, 2182, 1237, 4230, 2108, 4867, 6537, 5825, 6999, 6138, 7140, 2140, 9375, 2416, 7317, 854, 2258, 5392, 803, 2146, 6449, 6688, 4531, 8417, 3073, 5973, 324, 6424, 6142, 8312, 8463, 2672, 4865, 298, 7841, 5495, 8042, 1016, 7210, 4874, 3060, 8242, 5088, 9625, 6241, 7300, 2191, 8969, 1643, 779, 2993, 55, 2073, 2474, 9506, 1977, 338, 9151, 2324, 4720, 202, 1357, 1912, 4563, 8918, 7232, 2731, 3719, 9891, 1577, 1600, 8806, 7464, 4369, 8016, 7516, 7626, 5983, 5518, 9508, 5084, 4714, 7684, 9526, 1789, 2117, 5085, 6716, 9000, 8063, 1455, 2606, 5441, 1584, 3847, 5654, 5009, 504, 6430, 3495, 5001, 8640, 2359, 3175, 4906, 3700, 8359, 5911, 1871, 2327, 3051, 5753, 3850, 5944, 2852, 8201, 1816, 7567, 3229, 8677, 5640, 4962, 407, 7784, 4313, 8222, 8612, 8727, 7483, 4170, 3377, 6372, 365, 9091, 6091, 7501, 5473, 2421, 6956, 1490, 9603, 8769, 6806, 7570, 7720, 7138, 8558, 684, 8489, 2185, 674, 6335, 9018, 2766, 8790, 4040, 3660, 4622, 2415, 8524, 6720, 8582, 9164, 5551, 8344, 4643, 7926, 8794, 6023, 3511, 3190, 3465, 1230, 2942, 7856, 4840, 3373, 8723, 9215, 6052, 6802, 6960, 6401, 1188, 322, 7234, 2802, 8226, 9126, 891, 1314, 238, 5083, 414, 5137, 3951, 8589, 816, 5596, 6272, 2460, 7708, 688, 2390, 2250, 8755, 191, 220, 8717, 6154, 2694, 3298, 5327, 3184, 1367, 6063, 1364, 3806, 3432, 8901, 7887, 5427, 9156, 2964, 2992, 3478, 4645, 4635, 5257, 3234, 8022, 3966, 11, 358, 8698, 3947, 8092, 4601, 2772, 3530, 5948, 8702, 671, 4545, 7817, 6144, 5776, 3791, 9895, 4692, 1539, 5545, 6562, 6510, 7829, 6273, 1706, 2880, 2354, 502, 3127, 3985, 4835, 9293, 131, 5023, 3786, 3072, 3268, 7487, 8874, 7916, 5831, 858, 4435, 1382, 5851, 3991, 1800, 2550, 7301, 8732, 8954, 5052, 6029, 4858, 7791, 7924, 8944, 6201, 6798, 2480, 7900, 5771, 8585, 1978, 5815, 8919, 8830, 9442, 4084, 5698, 1143, 8764, 429, 5219, 7221, 3790, 9708, 3059, 5082, 8429, 528, 2887, 3113, 1723, 8013, 9218, 7905, 5266, 1783, 3650, 8038, 4087, 126, 7191, 4740, 8237, 6265, 8923, 6341, 5469, 8976, 7177, 3736, 103, 304, 8680, 6831, 2749, 2485, 5059, 4802, 6290, 1045, 5938, 9751, 3816, 7408, 5264, 8056, 7455, 1754, 3276, 8539, 4938, 8211, 312, 2227, 8605, 2038, 6512, 3143, 8395, 1003, 7617, 5688, 3881, 85, 1838, 1087, 1073, 6364, 5352, 35, 3152, 1488, 1761, 7594, 380, 7870, 7846, 7458, 6487, 5362, 1589, 2432, 351, 2135, 2049, 4854, 219, 8369, 8313, 5053, 3651, 5848, 2452, 8103, 4190, 2066, 7918, 9503, 4753, 6182, 4304, 3867, 5449, 7893, 7041, 6534, 720, 9213, 5556, 5110, 9743, 7517, 5070, 9796, 4647, 4326, 2589, 9047, 208, 837, 1512, 1903, 9056, 3888, 6152, 3957, 7848, 40, 397, 3990, 9953, 3048, 4841, 2982, 4838, 8607, 9227, 6455, 3043, 9446, 1779, 2995, 2314, 6403, 7834, 7991, 1874, 2891, 9178, 5298, 5532, 4346, 9420, 4145, 3052, 6008, 4012, 5985, 3150, 6832, 7550, 4651, 2292, 6971, 6031, 3490, 471, 6394, 6752, 8730, 7912, 3794, 7721, 7750, 3558, 8386, 713, 8983, 7625, 9003, 6600, 3578, 9759, 3086, 9188, 4267, 5493, 22, 6777, 9834, 3602, 1545, 3064, 5433, 5984, 5472, 2423, 8341, 1829, 9970, 7064, 4203, 4752, 7186, 7872, 4884, 3600, 9853, 4179, 6030, 6423, 2811, 6415, 9279, 8214, 7638, 1548, 2669, 6684, 6808, 2856, 6515, 4486, 4386, 1171, 3718, 8137, 8345, 3448, 9627, 2583, 7987, 3691, 9081, 594, 5397, 2298, 3438, 2677, 2968, 6459, 930, 3342, 1326, 681, 7095, 9036, 7500, 2083, 1514, 3952, 1672, 9947, 7874, 3731, 7552, 7871, 5422, 203, 2980, 2904, 8335, 6546, 1036, 166, 3383, 9210, 7592, 8696, 3715, 7222, 5388, 5557, 7596, 8086, 5391, 5749, 7058, 4181, 4764, 7446, 7380, 4320, 935, 5533, 5685, 2151, 6828, 7525, 1587, 5101, 8434, 2179, 5096, 7238, 5263, 4586, 3290, 6590, 3193, 8798, 4146, 2252, 5669, 4382, 9052, 5256, 5385, 6402, 8207, 9814, 7173, 4099, 6271, 4778, 405, 1047, 8760, 4295, 4542, 6019, 5404, 4547, 261, 6256, 8047, 6173, 9243, 7962, 8199, 8553, 4038, 5069, 6606, 6848, 4881, 7460, 7748, 2507, 2551, 6914, 1494, 1136, 361, 6021, 8349, 1515, 719, 8204, 8452, 6799, 5245, 2064, 7576, 494, 7394, 866, 7840, 9342, 6621, 8691, 213, 6097, 4950, 2849, 246, 6892, 9859, 2934, 7826, 8847, 8250, 5471, 167, 1889, 89, 2750, 1639, 2159, 3140, 4456, 1109, 8285, 9332, 5027, 7393, 8508, 1982, 2173, 3256, 2341, 154, 9464, 7821, 3323, 2440, 2210, 952, 7054, 183, 21, 8503, 3084, 2711, 4309, 8831, 7447, 1941, 3687, 9750, 2807, 2832, 6374, 1998, 8992, 3371, 5414, 6574, 3535, 5865, 1206, 6885, 6642, 4222, 7734, 2779, 4958, 8744, 385, 5649, 7290, 4609, 3984, 7278, 7360, 5574, 7995, 8303, 9678, 1313, 9744, 5780, 6473, 8142, 8176, 865, 5401, 4917, 5419, 2955, 517, 5525, 1693, 8404, 4423, 5080, 5205, 5767, 3477, 77, 274, 7249, 6384, 8188, 9623, 8110, 9140, 5652, 879, 8667, 5127, 1092, 8318, 6611, 1226, 705, 4784, 8761, 8895, 4947, 5672, 5682, 1533, 2198, 2956, 8544, 5426, 3347, 6240, 6840, 7263, 1277, 9289, 2377, 6047, 1698, 7066, 8026, 6637, 6025, 8880, 5002, 1389, 4757, 2565, 5039, 7296, 2299, 2534, 5841, 3943, 9404, 1852, 200, 2817, 2201, 4375, 797, 6763, 2488, 7954, 2309, 7305, 4389, 2855, 1685, 7558, 8610, 7824, 8239, 3198, 6888, 7023, 3287, 3322, 7331, 9221, 1204, 4536, 6461, 4392, 9927, 6434, 1038, 1604, 4528, 579, 3632, 2940, 7024, 7461, 4258, 2389, 637, 8128, 4856, 770, 4789, 1632, 3645, 4470, 7453, 3093, 4207, 5637, 6104, 4357, 7488, 7968, 6470, 8967, 2082, 4271, 2763, 6450, 7695, 6301, 3208, 8337, 7377, 2892, 775, 1192, 135, 8715, 8716, 56, 524, 7618, 7882, 5925, 7583, 6313, 9539, 102, 6560, 3637, 9888, 7046, 3612, 2793, 367, 4873, 1033, 7213, 2773, 765, 6749, 5955, 7215, 3541, 5247, 3934, 412, 1907, 8687, 2799, 2930, 8733, 6933, 8891, 8001, 7692, 4091, 907, 1965, 7008, 7402, 7038, 3304, 9444, 5639, 5342, 5034, 526, 70, 4139, 4970, 8153, 5563, 2588, 1743, 4988, 8483, 2193, 4780, 628, 4747, 3915, 6489, 6198, 7143, 446, 7676, 6904, 7202, 8227, 435, 5715, 1215, 2715, 1563, 2744, 9105, 587, 9137, 3092, 2818, 596, 4812, 6658, 2284, 3420, 1769, 2196, 3861, 971, 3452, 4739, 5008, 2500, 1442, 4888, 9211, 3098, 4493, 3677, 6949, 7545, 3020, 2264, 9150, 9194, 6275, 565, 699, 4975, 3007, 8989, 6526, 1775, 2311, 7288, 9571, 2134, 8568, 7241, 3274, 5467, 6009, 6059, 6583, 5114, 9191, 6482, 9207, 1547, 6818, 8052, 4656, 1233, 7667, 6268, 8159, 4620, 7792, 6136, 4319, 8331, 378, 4240, 6896, 1562, 992, 7781, 2023, 762, 2345, 3441, 5739, 8064, 2530, 27, 5959, 9738, 949, 905, 2420, 6024, 3585, 3564, 7557, 3009, 7622, 6250, 4335, 6137, 2072, 5461, 441, 3976, 8943, 4449, 1546, 6259, 3177, 5181, 604, 811, 3038, 5148, 5227, 1254, 749, 4772, 1922, 3723, 5743, 5512, 5756, 5624, 3788, 9165, 1785, 6766, 6466, 2112, 6303, 3067, 7540, 9217, 2352, 2720, 7039, 1027, 6390, 4437, 8820, 4021, 285, 9345, 8235, 181, 7955, 1703, 5802, 7960, 302, 2840, 623, 8114, 9873, 9113, 4374, 7807, 401, 3385, 572, 5129, 2501, 8871, 8244, 2031, 1002, 8085, 1929, 2025, 3608, 6419, 415, 5807, 7902, 5583, 4931, 3253, 1841, 7106, 1668, 3572, 3250, 8916, 3319, 1560, 1683, 2430, 9761, 1976, 5240, 2825, 2771, 3077, 8415, 9317, 5100, 8574, 4378, 4526, 6505, 4558, 3147, 1658, 3435, 8804, 5308, 4649, 2850, 9507, 7206, 2355, 769, 1146, 6580, 8292, 862, 9693, 1826, 487, 196, 8228, 7465, 6428, 7889, 7198, 2316, 514, 8650, 1581, 6966, 4090, 4861, 458, 4312, 7150, 8890, 724, 3699, 5523, 1090, 7979, 8580, 5515, 3001, 8679, 8718, 3464, 2543, 8948, 7935, 2234, 3366, 8476, 6209, 2626, 8927, 1401, 9408, 8288, 8694, 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8541, 965, 2896, 3258, 2829, 7487, 460, 3488, 8103, 4014, 9113, 1971, 8946, 4605, 348, 4587, 8411, 3092, 5621, 5663, 3896, 1508, 3110, 98, 2134, 7841, 5543, 1798, 877, 5968, 1142, 5890, 5812, 6386, 2484, 5122, 5065, 7386, 8982, 4397, 3055, 2651, 5887, 4895, 3895, 980, 2115, 7793, 4751, 8654, 3907, 4412, 6425, 5892, 357, 3348, 7303, 3780, 7125, 106, 5152, 4806, 534, 347, 7473, 6860, 785, 734, 1106, 3674, 5574, 1072, 5327, 2234, 7265, 3587, 3874, 4863, 8068, 5580, 7388, 1805, 5996, 3242, 3993, 6987, 3404, 7599, 5475, 6634, 4493, 152, 5463, 6760, 8888, 5123, 3093, 2891, 1515, 7884, 5128, 7714, 3084, 1260, 7107, 7377, 7967, 7855, 1174, 8123, 9766, 4276, 4083, 5083, 6568, 3334, 7423, 2667, 2109, 7765, 302, 1841, 4187, 6471, 6994, 1748, 6698, 8373, 6036, 3171, 5077, 8326, 4989, 7451, 9135, 2143, 4785, 8089, 4875, 5579, 490, 25, 938, 6031, 8597, 2327, 1228, 8959, 4856, 6880, 5891, 7402, 8482, 4498, 72, 7254, 5943, 5949, 4500, 1355, 9179, 1321, 5054, 4046, 5584, 5094, 5688, 3037, 7768, 4020, 3270, 2128, 6456, 9063, 4380, 840, 653, 8378, 6805, 1706, 8295, 4373, 3481, 8374, 6554, 6912, 8249, 2374, 4932, 2983, 2817, 667, 9108, 4424, 6112, 936, 5612, 2165, 3806, 4944, 2562, 2186, 6186, 7145, 1545, 3456, 3507, 5939, 5135, 2964, 3435, 8112, 1678, 3588, 1555, 3944, 8772, 4825, 6576, 7743, 7035, 2539, 6415, 1770, 1591, 7753, 4365, 1877, 5963, 6804, 2061, 3773, 8156, 6346, 4632, 1506, 6134, 4677, 4847, 2714, 129, 924, 9392, 8019, 3538, 2727, 8008, 4081, 8204, 7170, 7669, 8263, 1485, 5085, 4947, 3913, 7543, 6469, 4911, 2576, 195, 5450, 4649, 7712, 4098, 7075, 7568, 3125, 38, 6308, 7865, 1276, 432, 3814, 3307, 5807, 2469, 8388, 7622, 8495, 2933, 9565, 765, 2471, 387, 3987, 2324, 7791, 2156, 4311, 8852, 3532, 5017, 4010, 796, 6329, 2474, 5084, 1820, 2056, 8876, 7114, 6899, 3318, 1622, 4455, 2521, 3214, 4457, 8754, 3838, 1006, 994, 2196, 8345, 13, 5742, 2397, 2816, 8820, 4876, 2074, 6629, 6742, 2103, 9047, 3688, 7409, 8702, 7204, 4292, 1360, 2089, 6976, 9142, 8975, 5275, 5223, 8831, 1981, 3808, 5540, 3965, 7489, 3162, 8313, 2373, 2141, 3524, 4275, 3664, 3597, 5405, 898, 508, 1338, 1915, 4577, 8343, 2399, 931, 9094, 3798, 7906, 2567, 7561, 2781, 6683, 8835, 1764, 3557, 1605, 2543, 5655, 881, 2180, 7293, 5273, 2590, 1501, 7375, 5261, 4644, 798, 8787, 3644, 4264, 3191, 1561, 7044, 7882, 6291, 2375, 3916, 9037, 6774, 776, 4697, 3359, 3910, 1035, 2971, 6327, 6746, 4393, 3847, 6882, 7278, 4707, 8136, 5498, 9323, 8063, 6614, 5348, 6551, 3391, 6043, 3647, 4646, 2683, 9396, 7116, 1849, 7919, 7617, 6204, 4720, 2427, 2624, 2492, 1282, 9402, 1255, 2865, 1495, 1456, 8776, 4127, 7239, 2276, 6086, 5631, 741, 9028, 5160, 5196, 6213, 2826, 5500, 1494, 5169, 5393, 255, 6370, 690, 1030, 1556, 1699, 5562, 8336, 3386, 4719, 4550, 5157, 1566, 6596, 8027, 6734, 6014, 4623, 8918, 9023, 3420, 2378, 454, 5410, 1985, 8559, 950, 2113, 6050, 1505, 6854, 1241, 3414, 791, 5554, 5353, 3930, 5105, 7059, 2254, 5899, 5412, 4030, 5910, 2860, 4533, 3463, 1998, 5546, 5504, 1874, 7139, 2820, 7913, 7971, 4164, 4106, 1617, 2307, 7350, 6137, 8858, 4088, 4983, 900, 5846, 4227, 2390, 5416, 2317, 7306, 589, 1212, 391, 4202, 7383, 301, 3267, 9827, 3127, 6235, 2748, 5200, 6339, 5321, 3495, 2792, 9857, 8805, 7041, 2287, 4933, 4568, 7499, 6887, 2754, 5133, 7474, 7023, 2780, 9322, 3951, 7286, 2021, 8435, 5549, 958, 3077, 1184, 6529, 7253, 1115, 5406, 8488, 5224, 5148, 5212, 3095, 5467, 1640, 6123, 1920, 1701, 30, 8279, 9010, 7498, 4976, 4208, 3483, 4829, 9374, 3459, 1677, 5919, 4927, 3634, 8415, 9203, 9941, 7829, 4375, 2434, 2566, 2618, 700, 3513, 5032, 5862, 142, 5964, 3882, 5715, 6906, 378, 6052, 2479, 668, 2954, 828, 8361, 1065, 5484, 3032, 8651, 5647, 4119, 5852, 8037, 7528, 6839, 9195, 771, 3800, 1004, 3754, 5383, 1201, 6317, 3713, 501, 4839, 701, 4928, 1855, 2195, 5355, 94, 2008, 2892, 961, 5911, 1913, 5587, 4176, 5643, 5150, 854, 3219, 5619, 5217, 3148, 2380, 7031, 4782, 3023, 4906, 2419, 37, 1307, 6686, 6231, 8184, 7610, 2591, 3681, 7387, 8056, 7511, 1753, 5960, 7398, 5553, 8822, 2403, 2908, 2669, 8311, 6811, 6118, 1679, 1497, 7024, 1606, 7725, 4071, 1366, 5291, 7655, 8509, 57, 9123, 3069, 6894, 568, 4431, 4449, 4428, 3262, 1839, 9429, 7657, 6322, 2825, 6226, 8181, 3860, 1700, 9954, 2022, 6989, 2827, 1856, 4910, 8332, 8577, 7111, 290, 2048, 5192, 1358, 2813, 6083, 5297, 4212, 2175, 1054, 2910, 1270, 5185, 8803, 8789, 3335, 2368, 1139, 5903, 4427, 3313, 3197, 2857, 150, 4143, 8062, 1237, 9866, 7427, 2511, 6688, 9825, 4325, 418, 4880, 7894, 3711, 9017, 3730, 6851, 7587, 6671, 1729, 6593, 7870, 8292, 8189, 1563, 3576, 8417, 1873, 6563, 3278, 757, 7367, 8664, 1435, 6660, 5982, 1817, 2353, 6619, 7741, 2256, 5268, 2045, 9911, 8222, 6745, 1822, 2083, 9004, 7065, 822, 1447, 6267, 8242, 1213, 4578, 3250, 4267, 910, 8106, 8272, 8567, 9420, 4172, 8427, 4112, 862, 9418, 3876, 6863, 4690, 4444, 6127, 4606, 8142, 3097, 6830, 3592, 5372, 3165, 3496, 4298, 5920, 2013, 9291, 4469, 4026, 1088, 1586, 1581, 2132, 5409, 1629, 3873, 7736, 7180, 3177, 4532, 3560, 2259, 8584, 4599, 6077, 6768, 8196, 7491, 6818, 1131, 5559, 2009, 3047, 3995, 1122, 5172, 3628, 8859, 6580, 7054, 3327, 911, 6158, 718, 217, 5346, 7670, 3981, 4249, 6450, 5033, 5748, 6284, 7907, 2288, 6546, 8631, 3645, 6730, 9634, 1934, 7344, 8486, 5300, 1544, 3665, 8149, 3201, 7558, 8871, 9596, 7419, 1612, 4651, 4145, 6328, 7649, 4256, 355, 2834, 8447, 8552, 4011, 3900, 9305, 7089, 4231, 2110, 5181, 642, 5997, 8516, 4803, 9847, 5751, 2797, 7580, 3046, 2044, 2512, 1552, 1373, 4507, 4320, 5703, 4843, 6918, 1716, 6812, 5814, 9156, 7973, 6696, 4698, 6548, 7972, 3099, 7448, 5966, 7853, 4641, 3852, 5414, 1147, 3426, 1661, 4519, 2024, 755, 3533, 3132, 6496, 6223, 6844, 1105, 6051, 2028, 445, 3790, 5904, 3056, 4786, 4749, 1145, 4188, 7126, 8686, 5855, 7762, 2688, 6528, 2862, 6387, 3678, 200, 5093, 4415, 5071, 5063, 9497, 1775, 3034, 8774, 2312, 8591, 6655, 8924, 3437, 1653, 8910, 4617, 8739, 7664, 2619, 7620, 3585, 8919, 2359, 8964, 251, 4701, 4724, 1718, 5334, 7659, 8844, 1845, 3826, 8536, 5564, 9141, 6721, 6907, 2142, 8226, 3887, 1074, 4558, 777, 8938, 600, 8705, 5349, 340, 4035, 8409, 1590, 5820, 3583, 5375, 8883, 4874, 7361, 4481, 6421, 5031, 4966, 2052, 132, 5847, 5366, 7567, 3616, 4364, 6617, 9160, 8178, 4297, 6659, 1540, 3735, 2185, 4523, 7010, 2140, 6025, 5078, 2943, 7199, 6620, 3810, 4396, 1576, 1315, 4079, 2585, 6819, 5935, 3260, 3572, 5734, 8974, 7455, 2272, 2202, 4271, 8760, 8810, 3365, 2641, 6981, 4257, 4385, 2311, 3503, 5285, 6952, 2031, 9549, 7110, 1427, 6968, 9470, 1863, 3289, 8159, 2120, 6187, 2203, 6068, 8385, 2454, 1861, 8721, 6143, 5044, 5544, 2756, 1973, 5225, 6138, 408, 5825, 423, 5318, 7621, 3200, 2766, 2152, 2545, 1034, 6080, 8393, 692, 3202, 6765, 4447, 356, 2279, 8806, 3212, 7817, 3265, 8187, 8735, 7379, 6784, 2945, 3651, 8461, 1596, 5642, 7746, 7553, 15, 1907, 7140, 4935, 7269, 7157, 7804, 1223, 1579, 4763, 3624, 3079, 6380, 7514, 1967, 5525, 2062, 5153, 1610, 1666, 1557, 1909, 1894, 3450, 5079, 5624, 7778, 8216, 9787, 6652, 5345, 1412, 2058, 3683, 3254, 6219, 996, 2563, 3341, 2847, 3621, 1143, 2164, 8021, 9778, 7797, 3042, 4382, 3136, 3765, 7827, 4607, 5274, 6816, 3617, 5381, 124, 2273, 9087, 5315, 4650, 6290, 9354, 4815, 5937, 3229, 60, 7752, 5161, 6468, 1743, 1603, 7103, 5167, 5402, 916, 6607, 3227, 8104, 6151, 1570, 5165, 5740, 3472, 4446, 4201, 1593, 2071, 3285, 6711, 1062, 9115, 6039, 8018, 3722, 7722, 9971, 8073, 5098, 3379, 885, 8644, 3802, 9243, 4466, 4240, 2098, 4922, 6788, 1911, 8854, 3701, 2334, 3246, 4142, 9307, 8079, 7943, 1802, 530, 8, 342, 9111, 4594, 6705, 4317, 4284, 6946, 8714, 4583, 3377, 1880, 2970, 2290, 8231, 9786, 8701, 6176, 3392, 3755, 7259, 5247, 7476, 7285, 4779, 5872, 3022, 2265, 6462, 4413, 4969, 1935, 4349, 131, 8223, 8220, 5052, 5700, 1627, 5838, 5541, 1914, 8849, 3121, 2446, 3100, 3825, 7818, 2623, 2632, 2308, 6732, 3139, 5287, 9081, 8549, 480, 1025, 630, 2020, 2478, 515, 6873, 8545, 7847, 7193, 3970, 4603, 9153, 5780, 5801, 4295, 5229, 8169, 8195, 3927, 4159, 6848, 2119, 611, 1306, 6184, 3558, 6785, 3922, 6193, 2570, 3471, 9345, 6985, 6793, 7127, 6642, 8922, 2043, 8233, 5849, 3338, 3143, 6104, 8074, 4209, 5166, 6401, 4000, 2363, 2073, 2544, 2835, 2053, 6971, 3385, 5466, 4708, 6266, 4028, 5585, 2525, 3541, 2106, 1293, 80, 5458, 130, 1102, 1081, 2702, 1407, 1724, 6032, 3194, 7236, 5885, 6432, 487, 9349, 5258, 9250, 6665, 1511, 3440, 6777, 3041, 9039, 7572, 9317, 4643, 4070, 9316, 4111, 8335, 7205, 5674, 8842, 1710, 2278, 7417, 2815, 1158, 2888, 1397, 282, 4370, 7325, 3225, 1803, 3237, 3349, 1093, 6437, 8034, 4804, 2153, 4956, 8813, 8000, 5853, 5645, 8830, 9781, 1787, 893, 1876, 4542, 6150, 9686, 9268, 2054, 8151, 8504, 2174, 2145, 7628, 6807, 7777, 8595, 4903, 9328, 8045, 8511, 417, 7954, 7155, 5176, 1126, 5916, 3, 6342, 203, 1109, 1152, 8271, 5644, 9185, 9604, 1459, 3080, 9487, 4901, 7311, 4017, 6413, 4570, 6731, 8957, 928, 5953, 2628, 3195, 8480, 4553, 5214, 9103, 2921, 3969, 3904, 4725, 6001, 2540, 2329, 4920, 3534, 8042, 8758, 1434, 2653, 2695, 8325, 4154, 7148, 2886, 2432, 9498, 8175, 402, 2801, 1017, 193, 6653, 8346, 1061, 5673, 1008, 764, 6028, 4036, 8527, 8925, 6330, 3070, 2400, 6095, 1177, 2749, 7674, 902, 1159, 3530, 5263, 221, 3736, 9253, 2370, 3764, 3605, 717, 3529, 1765, 596, 1872, 1039, 2088, 6616, 1503, 4821, 4506, 7742, 1602, 469, 5025, 9161, 849, 3025, 3565, 6984, 2118, 2271, 4993, 2435, 3595, 3687, 8006, 708, 6026, 6402, 1569, 2967, 6684, 4593, 2841, 9443, 6708, 802, 2005, 3204, 4888, 7809, 6606, 2874, 726, 6059, 6853, 5861, 7979, 2357, 7333, 3295, 2689, 4147, 5593, 3451, 8990, 9092, 2638, 8812, 6174, 7675, 9947, 6447, 6168, 3738, 6718, 1041, 9234, 4915, 7857, 634, 2774, 4265, 3659, 3039, 4520, 3105, 3990, 2351, 7449, 4133, 688, 6234, 476, 7643, 8635, 2808, 4057, 9059, 234, 9881, 3535, 3660, 4076, 1052, 4648, 1359, 1077, 4517, 3183, 6728, 2609, 6232, 3269, 5870, 6105, 5636, 2438, 3641, 363, 4137, 86, 3433, 2151, 3784, 7936, 6381, 5024, 8004, 1938, 4007, 9036, 1614, 8403, 3527, 8065, 3224, 8650, 4862, 5508, 6479, 9715, 3462, 3886, 3695, 5430, 1898, 3594, 7994, 6604, 7744, 8358, 4307, 1510, 5711, 4527, 4796, 5686, 6886, 7872, 2281, 4731, 1075, 293, 8257, 2687, 1962, 9271, 7270, 2876, 75, 3958, 702, 7937, 3027, 6750, 6042, 5928, 3880, 7374, 7726, 2935, 5400, 267, 456, 6166, 2176, 4229, 5215, 4980, 1979, 7866, 2218, 4138, 5767, 2409, 1829, 3909, 8786, 9599, 7016, 1676, 7274, 9215, 9100, 7320, 8886, 9858, 8396, 3367, 738, 7138, 6454, 7052, 4887, 6895, 7898, 8913, 5958, 4126, 899, 3948, 3281, 4788, 2146, 4118, 5637, 8165, 4490, 5219, 5628, 8565, 9297, 5858, 618, 8301, 5690, 1801, 8904, 3396, 9666, 1107, 4552, 7021, 2456, 2006, 4095, 2718, 6884, 6058, 2913, 4827, 5984, 5837, 3279, 5719, 8534, 5336, 7313, 6125, 2095, 1277, 5439, 4362, 3509, 1042, 8218, 4877, 1697, 6917, 3422, 8626, 3370, 9685, 5131, 6212, 7720, 6936, 8143, 3615, 7452, 1686, 2740, 3065, 163, 6047, 3997, 5987, 8423, 1572, 5494, 3118, 7314, 8521, 8538, 998, 8472, 8857, 3623, 6088, 9390, 6921, 4085, 6353, 1630, 7175, 6400, 1667, 7914, 6706, 4497, 3522, 1377, 5606, 5060, 610, 4301, 2266, 8170, 1800, 6978, 4266, 7940, 4022, 6926, 3833, 1079, 6458, 5706, 861, 3977, 8081, 3514, 380, 3516, 4666, 883, 6820, 5712, 6262, 5476, 2652, 4655, 756, 2172, 9266, 7407, 6836, 7748, 6810, 7948, 8655, 9961, 8260, 7584, 1279, 8250, 5774, 6752, 3569, 748, 1720, 6369, 8252, 1843, 4678, 8965, 4977, 4727, 3087, 3933, 87, 3759, 5190, 3106, 3091, 8092, 8640, 2863, 3019, 3413, 2611, 3855, 6497, 7700, 6834, 5783, 6177, 7466, 4671, 4951, 8737, 553, 1860, 6140, 3870, 8389, 5470, 8282, 5478, 7197, 2981, 4868, 1396, 3249, 7141, 9540, 3581, 2504, 4139, 7082, 5929, 2686, 1418, 5588, 1608, 8201, 4075, 8520, 5921, 5434, 2094, 7557, 494, 8623, 6216, 3209, 1380, 4742, 937, 8943, 5283, 8585, 9144, 4182, 1912, 6590, 8309, 2481, 1284, 3607, 4460, 6519, 1814, 6436, 8711, 7763, 5295, 4215, 5216, 4955, 3358, 8088, 2344, 1166, 4653, 5136, 14, 8770, 2729, 3102, 8064, 1374, 1171, 770, 1356, 1918, 473, 404, 7189, 3208, 7998, 7421, 313, 1141, 2626, 7533, 4772, 5089, 3049, 3968, 8807, 7433, 933, 8618, 1551, 4513, 4948, 8454, 9200, 872, 7833, 245, 4538, 923, 2457, 4921, 3033, 7115, 2347, 3963, 948, 3339, 5802, 8860, 4854, 6685, 269, 6885, 8588, 8468, 8846, 3883, 1364, 9905, 5517, 767, 3297, 5279, 311, 4225, 2828, 5423, 3015, 1249, 2796, 7579, 4160, 7619, 7850, 2932, 6332, 4399, 520, 5856, 7759, 3859, 5, 1173, 3612, 377, 1133, 6766, 208, 187, 3406, 4016, 2787, 5043, 8243, 1943, 985, 7000, 371, 2784, 155, 4430, 4417, 7963, 5199, 3141, 1020, 7822, 3848, 1275, 5050, 3839, 7437, 7336, 6033, 3233, 7097, 3584, 453, 1040, 3394, 6575, 4638, 6165, 1853, 3384, 4790, 7594, 9055, 8038, 6188, 2465, 3243, 9588, 7281, 9054, 4140, 6149, 8347, 2728, 8972, 8129, 6764, 1835, 8270, 5962, 6347, 7464, 6979, 3276, 3340, 8049, 5668, 3631, 5117, 9208, 4157, 4657, 3062, 7663, 1014, 2698, 8931, 871, 7504, 4853, 507, 6396, 4618, 5918, 1893, 1974, 6079, 5130, 3737, 7512, 9883, 7124, 3599, 3749, 4784, 1104, 7251, 745, 1961, 1655, 3277, 3680, 2597, 3567, 5233, 9750, 4684, 6273, 5880, 8061, 1810, 3976, 186, 4001, 4470, 320, 5531, 7057, 9136, 246, 3044, 3553, 4323, 9410, 1712, 3381, 8708, 4367, 2785, 6770, 5913, 6543, 3430, 1939, 9035, 1372, 8963, 5969, 6087, 2382, 9785, 7216, 7723, 2047, 5058, 4194, 9129, 4596, 7776, 7456, 2877, 1153, 9945, 4938, 8733, 8324, 4726, 6505, 4383, 6190, 133, 6055, 4476, 4820, 7380, 5537, 3172, 5119, 3116, 6650, 7595, 808, 4239, 1124, 3412, 2199, 1168, 7740, 8157, 146, 1689, 4337, 4421, 2831, 1491, 9114, 892, 729, 117, 6053, 8687, 3821, 8833, 7310, 8281, 2693, 740, 4117, 5595, 4858, 6045, 5710, 2486, 9329, 1618, 8197, 6881, 2183, 5613, 1319, 2997, 3867, 7503, 8493, 7545, 6356, 9554, 5898, 8832, 5817, 844, 2741, 1375, 1483, 8139, 4752, 3324, 1635, 4443, 5141, 3058, 6357, 0, 6314, 6460, 974, 2767, 6613, 4204, 2759, 1252, 9134, 7262, 1007, 7172, 5925, 5605, 5992, 2533, 4745, 7060, 299, 2102, 6375, 273, 9058, 4949, 3959, 1947, 1326, 4005, 2038, 4900, 7137, 8994, 8676, 4158, 843, 8954, 5493, 4110, 1941, 6826, 644, 2561, 5897, 7091, 7007, 8078, 3830, 6815, 5672, 6117, 6618, 7916, 6866, 5717, 8305, 6703, 5102, 1125, 8750, 8621, 3956, 1406, 4769, 9496, 6093, 7915, 2654, 5056, 1823, 3957, 1409, 9928, 3555, 253, 2338, 3936, 5927, 868, 4681, 2257, 5418, 5678, 3180, 8352, 7397, 3189, 5377, 4580, 8984, 1057, 4940, 9538, 5281, 4737, 834, 4183, 4838, 976, 2919, 7406, 1280, 1529, 3783, 9093, 7215, 6082, 1049, 2680, 3331, 7591, 1830, 9120, 875, 3745, 3614, 2914, 3112, 4063, 8363, 5010, 4335, 5851, 772, 7704, 7181, 9777, 1408, 6842, 5310, 1660, 5868, 400, 8717, 4433, 2811, 3222, 7393, 8530, 4837, 304, 7307, 2473, 674, 1773, 4461, 4692, 1209, 8935, 3542, 1290, 6888, 4392, 492, 6119, 9175, 4121, 4277, 119, 2661, 3497, 5648, 5425, 1404, 4336, 7486, 2575, 2423, 7186, 2660, 9101, 8453, 6627, 1199, 7490, 3389, 8044, 5571, 563, 783, 3667, 7475, 2578, 9293, 5284, 3817, 9690, 1767, 1777, 4309, 1886, 6717, 6352, 6111, 1703, 6211, 5038, 4987, 4831, 5492, 1864, 9313, 4167, 7864, 6905, 7816, 3168, 5159, 6972, 9069, 6044, 4024, 164, 5162, 6707, 9780, 5694, 6323, 7095, 8333, 5066, 4612, 7300, 3656, 733, 3692, 4018, 2679, 7297, 4673, 7842, 1265, 8147, 8991, 3415, 8752, 4304, 4768, 6677, 8691, 3787, 5607, 5485, 2464, 2613, 502, 5015, 569, 16, 2122, 1977, 3154, 2444, 4218, 8017, 2773, 8115, 3346, 4492, 4711, 6244, 8973, 859, 9603, 3851, 2369, 1351, 3461, 1888, 4971, 6157, 9573, 3791, 8544, 1892, 8267, 5326, 2607, 5034, 5319, 1535, 6453, 8284, 4830, 7679, 2480, 1378, 8706, 6275, 4153, 6934, 9744, 5116, 224, 6980, 8390, 3409, 5850, 8682, 6280, 7518, 6547, 5201, 887, 4205, 8880, 4696, 1167, 6470, 5589, 6315, 1095, 7058, 2497, 5452, 4107, 4219, 1719, 3315, 7885, 4203, 9522, 3940, 7673, 2906, 7616, 4509, 6439, 4824, 1156, 9038, 9027, 3375, 8286, 3898, 4037, 4625, 4321, 1526, 8724, 7938, 7767, 1931, 4363, 3063, 8438, 8259, 1376, 1238, 8970, 9421, 4797, 4736, 6048, 1462, 5724, 929, 8535, 7984, 6506, 1496, 3119, 1417, 8572, 1394, 7168, 7219, 659, 2144, 1782, 6207, 9457, 3865, 2313, 3846, 8202, 8872, 6773, 8638, 5991, 101, 279, 1273, 5749, 5357, 1651, 4419, 1272, 4905, 4303, 8916, 4551, 5218, 3834, 7328, 4716, 5788, 289, 2104, 1732, 7983, 6626, 2853, 4334, 5989, 6875, 2581, 8847, 7896, 4273, 6542, 2541, 2821, 8574, 1792, 8082, 3905, 744, 2812, 7096, 9434, 5874, 9876, 7830, 2911, 6648, 2078, 1707, 2404, 2870, 3457, 1838, 3447, 9678, 5004, 735, 192, 5361, 1604, 6651, 3076, 8135, 6446, 9442, 7048, 6726, 9862, 2694, 2556, 3689, 7234, 5828, 4773, 6483, 7685, 991, 5552, 2715, 8163, 7976, 7154, 4680, 6676, 372, 7237, 5888, 7877, 8268, 5499, 9795, 9728, 7228, 9981, 7329, 7002, 8266, 3429, 1248, 1662, 7583, 8093, 3648, 2376, 3169, 8474, 8431, 5194, 1924, 2096, 6855, 9071, 7908, 2897, 9032, 2459, 2012, 5277, 1489, 747, 2421, 8364, 1256, 3071, 5075, 8615, 6898, 8437, 8185, 3207, 8462, 7226, 9248, 2963, 9528, 6831, 5702, 2573, 1636, 1522, 6911, 1948, 4744, 7680, 211, 5954, 4602, 3174, 3436, 590, 71, 1616, 6412, 6210, 1744, 3768, 647, 8662, 4733, 7040, 6549, 2337, 4109, 4355, 3657, 5444, 545, 399, 8050, 1198, 5514, 2069, 6958, 3952, 1120, 4589, 4926, 8800, 1988, 9052, 8694, 5545, 5556, 6796, 7362, 18, 4170, 7496, 1182, 2603, 7641, 8726, 1229, 4791, 6145, 1828, 8683, 2201, 7573, 1264, 873, 4515, 7513, 5464, 9542, 9408, 2517, 7996, 1779, 2294, 4865, 4216, 2296, 7541, 9301, 76, 2439, 5811, 5495, 7011, 2348, 1611, 7930, 3593, 1811, 6263, 8194, 3686, 964, 5683, 2225, 1085, 7770, 3815, 1919, 1416, 2114, 8005, 6005, 723, 4177, 946, 3679, 5081, 6682, 2848, 7635, 1266, 5565, 8636, 5536, 9800, 8174, 7606, 1978, 4310, 3236, 2468, 3994, 6556, 2531, 6089, 2362, 2621, 558, 6594, 3812, 8126, 7589, 4805, 7702, 7371, 9040, 4416, 5800, 4942, 468, 6012, 7982, 1842, 5335, 3291, 3630, 5542, 5993, 1994, 6592, 604, 3942, 7282, 1305, 6442, 1327, 173, 1528, 383, 449, 8300, 3675, 6178, 6974, 5391, 5793, 997, 8566, 1403, 1650, 4308, 9183, 1385, 1157, 942, 6172, 4059, 6394, 6532, 5368, 6180, 3301, 9240, 5908, 233, 3239, 1230, 4665, 5685, 5420, 7162, 7500, 3743, 9068, 2017, 8376, 3303, 9571, 4398, 7445, 7694, 7941, 8290, 6654, 6355, 4290, 5743, 7689, 5163, 721, 9145, 8354, 6139, 848, 1788, 3053, 9050, 2790, 9706, 5067, 1243, 2331, 4190, 6264, 7200, 1032, 591, 143, 4479, 8022, 8192, 4207, 2139, 9011, 1344, 1905, 3967, 1113, 3654, 1582, 8348, 7993, 1227, 6942, 6847, 5806, 6202, 1950, 2384, 5945, 4067, 7933, 5106, 8911, 5104, 2251, 8969, 8647, 4913, 3111, 6666, 839, 3568, 4832, 8234, 6697, 8533, 4270, 6272, 5653, 5558, 7067, 4996, 1742, 6115, 921, 4964, 5732, 1384, 2846, 5000, 3017, 715, 9051, 6897, 6680, 1064, 6569, 4775, 5526, 7317, 2085, 7454, 6944, 2323, 6099, 6838, 1163, 8404, 4069, 7613, 2650, 9742, 842, 4668, 7729, 6641, 8028, 6246, 2890, 709, 867, 3383, 5665, 3663, 3350, 3849, 4009, 2364, 7662, 2016, 2161, 1342, 9592, 3837, 3448, 9031, 799, 1498, 2249, 1781, 2428, 3844, 5151, 516, 955, 8856, 9077, 8186, 2887, 2771, 3625, 1096, 212, 9355, 5248, 8096, 2768, 5449, 4124, 6560, 9125, 5755, 8010, 4511, 427, 1587, 9206, 4621, 5091, 5627, 1475, 5824, 4503, 2697, 188, 8649, 7494, 1906, 1776, 951, 8718, 9563, 7420, 1626, 626, 5382, 1285, 3484, 3130, 477, 4945, 6919, 1322, 804, 8550, 6893, 3107, 8443, 628, 3889, 103, 7077, 2046, 3596, 6500, 8083, 1647, 4954, 4676, 8587, 6491, 1431, 6361, 8339, 7665, 1474, 8402, 6821, 2744, 814, 7758, 1807, 4762, 2350, 7634, 8955, 1078, 7989, 2297, 1671, 4465, 4092, 1432, 8753, 160, 6006, 6333, 3114, 489, 4882, 6681, 8939, 9518, 6623, 6910, 7109, 1068, 2461, 5834, 9755, 2929, 5265, 1601, 4950, 4475, 3785, 8948, 2992, 7485, 9222, 6341, 5955, 2662, 7502, 9871, 2746, 4885, 9407, 7716, 7825, 2247, 5186, 7949, 5630, 4925, 2547, 1858, 6103, 4422, 1846, 7013, 6644, 9711, 1804, 9889, 3268, 8933, 2127, 6862, 6845, 4555, 8213, 40, 4326, 664, 8608, 343, 7203, 3206, 7578, 691, 5555, 5028, 5886, 6179, 1833, 3540, 379, 6761, 4758, 389, 147, 4974, 8593, 4844, 817, 9899, 4614, 5182, 5839, 3539, 6433, 2386, 6276, 7296, 5950, 6999, 2193, 6423, 838, 4234, 7415, 940, 8478, 4175, 6970, 5826, 2637, 3455, 6966, 1882, 7656, 1831, 2602, 4378, 7098, 5288, 9722, 4346, 1464, 6435, 7909, 2303, 5042, 5145, 7324, 8264, 7008, 3083, 7147, 8999, 8206, 5007, 8713, 1638, 2878, 981, 7132, 5971, 123, 7810, 5455, 8790, 5795, 1151, 1401, 6622, 9002, 2845, 2923, 9191, 939, 8217, 6398, 833, 1019, 5775, 2958, 8101, 7775, 9270, 801, 3312, 9486, 1136, 2535, 7654, 4316, 4044, 4282, 1547, 2761, 9230, 3374, 6538, 8817, 5397, 9459, 2907, 7604, 6364, 5909, 4687, 1399, 7129, 332, 3353, 8397, 5977, 3975, 4735, 8506, 5293, 4654, 1164, 857, 1390, 9683, 5384, 315, 5513, 724, 1387, 6260, 5752, 2158, 5072, 5649, 8659, 2029, 405, 6638, 3418, 7960, 3302, 2677, 7693, 1711, 5722, 8568, 2777, 8981, 6864, 918, 5272, 8144, 9362, 2007, 2881, 1796, 9694, 6409, 1129, 7315, 8821, 636, 6366, 4616, 5646, 8357, 4197, 9099, 6268, 1850, 9105, 2080, 2899, 4100, 1713, 823, 4062, 9606, 5087, 4328, 5389, 4710, 285, 5779, 7782, 228, 2926, 9644, 1520, 8047, 8722, 7032, 3590, 4997, 6407, 8053, 8370, 5002, 571, 5713, 6345, 8784, 3075, 4774, 8716, 6998, 8761, 4420, 5260, 4426, 9751, 1513, 365, 1179, 3498, 7164, 8214, 8120, 8874, 6754, 3241, 4114, 8915, 5020, 4451, 5660, 6632, 8960, 4897, 9403, 8483, 7101, 4029, 2131, 8071, 1799, 815, 1363, 3801, 8547, 4923, 4228, 1691, 9165, 593, 5511, 4181, 779, 2398, 6723, 6492, 6220, 7030, 322, 478, 1690, 6526, 61, 4116, 7266, 3066, 7836, 6100, 1055, 7481, 8514, 7588, 1205, 6094, 5560, 8319, 761, 6243, 8076, 8740, 5533, 8690, 5448, 6299, 1286, 8368, 36, 8227, 5744, 743, 4247, 5356, 92, 1036, 7754, 6017, 3884, 9048, 9670, 2194, 953, 4221, 1425, 5859, 3912, 7858, 7264, 2042, 5490, 880, 2213, 2205, 3299, 1202, 699, 2962, 1687, 5650, 8942, 5371, 850, 661, 2116, 7355, 7130, 1024, 9104, 2243, 6601, 8843, 649, 4156, 2066, 8907, 9836, 24, 6282, 8097, 1215, 8107, 2765, 2730, 6465, 6038, 6304, 6902, 3816, 3752, 5422, 3602, 6948, 2703, 3333, 1011, 5231, 8731, 1519, 2733, 1263, 7859, 7434, 6321, 5487, 3369, 4094, 4958, 3775, 7922, 9412, 9788, 1897, 7342, 8645, 2918, 8932, 2927, 2162, 7083, 8594, 6098, 606, 422, 7069, 7985, 3658, 9170, 6121, 894, 1568, 5380, 284, 3003, 4609, 7653, 4196, 2895, 4965, 1144, 3875, 2692, 7470, 8448, 1995, 1278, 3937, 7424, 9796, 6016, 8032, 6255, 6485, 2564, 956, 3556, 8540, 9119, 1193, 1225, 6373, 995, 9943, 6713, 6195, 292, 3486, 3691, 401, 3841, 8773, 8224, 6603, 9855, 1450, 8372, 9154, 7687, 1103, 4353, 8914, 4516, 2663, 1745, 7945, 82, 2851, 6776, 8665, 7552, 1371, 3671, 5184, 2601, 655, 5573, 7738, 714, 3135, 2349, 1232, 9552, 1585, 2034, 4792, 3464, 1067, 8152, 5177, 1696, 3603, 1071, 3293, 2656, 7869, 334, 2155, 6587, 5259, 7710, 9727, 3793, 4734, 648, 2579, 6404, 96, 6624, 375, 2924, 1869, 2526, 6130, 1197, 5578, 7556, 557, 2960, 9807, 3807, 4975, 559, 3511, 4729, 6309, 9209, 7453, 4765, 3428, 2242, 9169, 385, 9000, 328, 4448, 5424, 8337, 7050, 5581, 858, 8679, 9384, 8510, 3862, 4984, 5322, 7820, 7457, 2505, 9171, 7953, 7846, 4633, 6924, 6414, 6743, 2510, 579, 4352, 1440, 3693, 1571, 944, 4313, 9815, 2849, 7798, 7661, 9352, 7221, 4504, 4529, 1631, 2648, 2392, 6029, 1481, 1758, 3723, 1245, 3424, 7288, 4134, 5934, 5276, 2572, 4279, 9544, 1246, 7881, 9949, 8421, 8601, 9151, 8167, 6441, 882, 3364, 4702, 6009, 4652, 1594, 7100, 3454, 5693, 2453, 2594, 1575, 5633, 5417, 973, 3261, 4152, 1457, 5840, 7780, 2232, 4918, 8528, 2229, 1392, 1542, 1021, 2788, 8109, 1705, 9738, 413, 8583, 5758, 7128, 2124, 7232, 7051, 8303, 1740, 5669, 1900, 1180, 4722, 1825, 7834, 8497, 2716, 8590, 9474, 3439, 93, 7230, 4861, 3317, 9073, 151, 4463, 7233, 2060, 2735, 7646, 3550, 6116, 165, 2000, 3337, 3326, 8171, 1312, 6417, 9580, 1161, 521, 5733, 5404, 9837, 6040, 4174, 1680, 8992, 3416, 7969, 3390, 8146, 2647, 2523, 9159, 6790, 49, 4826, 7796, 3545, 294, 4377, 8633, 9306, 2108, 81, 6512, 2837, 1467, 6374, 7319, 3989, 9353, 1309, 3232, 1516, 3137, 6782, 4252, 1966, 4495, 5419, 7631, 7845, 4902, 8298, 6608, 7418, 8446, 2263, 652, 4924, 506, 1723, 3016, 5835, 6925, 737, 6170, 1641, 8287, 7446, 8262, 5632, 9669, 5728, 6824, 7444, 8546, 305, 3479, 2991, 6712, 6293, 3332, 3682, 908, 4080, 5598, 7056, 6767, 2159, 8681, 1092, 8502, 7766, 9116, 2782, 5634, 2014, 6691, 7575, 6667, 6867, 6326, 9979, 1295, 633, 1859, 7564, 707, 2003, 1972, 39, 9449, 8864, 2548, 9205, 8131, 3343, 3067, 8986, 595, 3398, 9060, 2856, 5203, 637, 7034, 635, 7957, 912, 4263, 9626, 7897, 3831, 1834, 2033, 4439, 3924, 1301, 352, 3144, 5127, 8704, 5986, 6078, 539, 5626, 5640, 5270, 8602, 2903, 8881, 4878, 5569, 9455, 7376, 7384, 7781, 4045, 6056, 6561, 5762, 2580, 452, 2522, 4598, 6689, 8923, 8496, 694, 1749, 7399, 5741, 8014, 7217, 4813, 9276, 7064, 3115, 2912, 9651, 4962, 5369, 8920, 9903, 2666, 1354, 7169, 5670, 7779, 4023, 6490, 1583, 3731, 1320, 5238, 6823, 813, 8379, 9568, 5047, 4192, 7701, 8727, 2494, 1298, 5772, 1866, 1976, 2920, 8085, 9157, 9049, 8801, 2252, 519, 7612, 2631, 5438, 983, 6113, 4914, 679, 4372, 4743, 100, 1658, 2250, 720, 3734, 9174, 1310, 2448, 7364, 3223, 1644, 4004, 9620, 7879, 8851, 9084, 9914, 5902, 570, 8598, 73, 3536, 1330, 4072, 1761, 663, 6313, 4892, 62, 5765, 3707, 837, 5764, 239, 7184, 2565, 3123, 4777, 8121, 2850, 1334, 8508, 1235, 5211, 6388, 2264, 5596, 189, 7623, 9772, 4659, 4787, 1292, 7750, 969, 6481, 4233, 2367, 1965, 2775, 2184, 1420, 3954, 5442, 19, 1580, 8391, 8826, 2339, 8558, 2642, 8762, 6956, 1218, 583, 4588, 5816, 7028, 8768, 4178, 3255, 3188, 4274, 7410, 3226, 115, 1925, 5370, 9521, 7868, 5323, 3903, 2223, 3928, 1289, 472, 4400, 2458, 3891, 3741, 4358, 9379, 256, 8677, 6662, 8331, 7347, 3704, 3501, 6658, 8693, 5103, 7630, 9325, 1461, 388, 1763, 3328, 4254, 774, 706, 9018, 5776, 9197, 5505, 306, 7348, 4647, 9850, 3256, 4857, 8953, 3094, 6678, 206, 7395, 4636, 398, 5745, 7108, 7459, 8258, 727, 1060, 225, 7724, 551, 1391, 4033, 6344, 5983, 7811, 760, 3432, 2167, 903, 7185, 2822, 3779, 6945, 2302, 1929, 5603, 2057, 4600, 1584, 9158, 719, 4418, 594, 5080, 5254, 3131, 9295, 6124, 8424, 6871, 525, 641, 7356, 2568, 8985, 4627, 3387, 5332, 2665, 505, 1259, 8055, 4473, 5944, 8455, 1240, 7636, 9849, 9126, 5502, 999, 3203, 4129, 4795, 5611, 8113, 4833, 2596, 7899, 8381, 8777, 812, 3820, 4056, 6674, 6478, 1482, 1009, 2082, 5845, 2776, 3117, 6558, 9482, 4601, 7789, 2707, 4505, 5671, 105, 1352, 8020, 5979, 7800, 3104, 7516, 8877, 3506, 4759, 156, 4061, 5664, 8766, 9852, 5126, 588, 443, 5871, 5187, 1543, 693, 6035, 3186, 7458, 5933, 7426, 1993, 3294, 2230, 5280, 367, 5140, 587, 2672, 2738, 481, 8254, 3442, 6301, 9337, 846, 7177, 2420, 1490, 7819, 9238, 677, 396, 5114, 7734, 8007, 6129, 9733, 1895, 6577, 9366, 3399, 5796, 8899, 5652, 4149, 6256, 8203, 1936, 338, 5771, 6090, 2379, 7249, 9976, 5392, 4860, 8148, 7004, 7878, 337, 7123, 3649, 1479, 9109, 4199, 1135, 6340, 470, 1854, 7596, 1558, 5708, 2168, 3520, 5530, 5848, 2610, 9640, 8248, 1824, 3199, 1492, 2734, 2673, 8949, 3320, 6523, 9473, 575, 8929, 1138, 8769, 9331, 8001, 5520, 3619, 4210, 157, 2401, 9065, 972, 8463, 3697, 4186, 455, 8997, 5454, 3991, 300, 7536, 2864, 790, 4409, 3272, 7308, 3708, 5952, 2500, 7876, 1783, 6702, 5022, 5189, 2090, 2588, 3578, 4343, 5352, 9502, 1087, 6278, 9823, 7250, 5230, 2940, 9882, 4967, 461, 286, 6148, 8827, 9211, 2593, 1562, 1175, 7889, 8666, 1118, 8543, 5656, 8796, 8229, 6585, 2163, 8407, 7970, 1813, 8912, 4288, 3843, 366, 1465, 6588, 811, 7932, 666, 4866, 6857, 4683, 6070, 1599, 5843, 6434, 5446, 7272, 1871, 1066, 7408, 3361, 2872, 434, 4585, 3794, 3393, 4634, 9007, 7861, 1726, 2019, 1367, 9581, 4015, 7760, 2441, 3748, 2508, 457, 7600, 7208, 8653, 8274, 2063, 2955, 5074, 2059, 7122, 8613, 65, 1317, 1963, 5857, 1111, 4808, 7046, 3564, 8429, 1254, 5144, 8457, 64, 3727, 8164, 8342, 9489, 3460, 3908, 7681, 1012, 6797, 3761, 7525, 7728, 227, 9569, 1244, 9327, 5635, 2731, 2671, 1172, 2966, 3650, 2804, 3216, 1134, 3160, 2137, 8612, 6132, 8971, 7733, 238, 2079, 4835, 6883, 6579, 3548, 6892, 3011, 2584, 1904, 6258, 2519, 2475, 3410, 9445, 5770, 7917, 1395, 6343, 5306, 2598, 2258, 3897, 4943, 7648, 1127, 498, 9839, 5737, 5882, 5682, 3475, 2762, 2138, 9356, 7414, 2487, 4531, 5401, 8188, 9311, 6288, 8861, 4491, 6363, 7461, 7997, 7785, 763, 3081, 2939, 5320, 5905, 2842, 1194, 5331, 2198, 8952, 5576, 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1005, 3466, 4435, 7353, 7560, 689, 2968, 7534, 5980, 6403, 5202, 7582, 8422, 9627, 2798, 5754, 2440, 3052, 8507, 5535, 8161, 6874, 919, 6540, 9912, 8657, 7029, 742, 5324, 9702, 4872, 5253, 6252, 8128, 496, 499, 287, 2644, 1311, 8927, 4611, 4312, 8548, 2310, 8442, 6238, 7429, 3508, 4391, 7532, 1430, 9764, 8377, 3818, 475, 9909, 8033, 2582, 2064, 5209, 116, 7520, 9492, 1789, 9199, 4226, 5957, 6739, 2674, 1836, 4554, 4351, 2858, 1056, 2987, 3926, 7312, 8578, 819, 3304, 6399, 6947, 9921, 3771, 7739, 7191, 3760, 1714, 6722, 2614, 8039, 3853, 7507, 2975, 4562, 4798, 8016, 7692, 8937, 619, 3368, 497, 6507, 6961, 4245, 8603, 4318, 2880, 9201, 870, 6487, 3470, 6861, 4089, 2040, 2416, 2372, 535, 7851, 3347, 213, 9326, 252, 2476, 556, 9693, 7022, 4299, 8782, 5364, 5759, 9601, 890, 7390, 1043, 4884, 538, 8238, 5099, 181, 345, 6938, 7210, 4873, 9190, 6527, 8878, 775, 327, 2936, 2973, 5894, 8928, 3626, 4789, 639, 922, 7987, 8941, 6636, 5008, 4869, 9831, 2030, 7391, 3832, 8697, 2315, 4019, 7625, 2606, 7959, 835, 9749, 7991, 5407, 373, 1785, 7442, 485, 7381, 4087, 3966, 3856, 9162, 7678, 549, 23, 5695, 1725, 493, 6574, 241, 5768, 9210, 4468, 3792, 6269, 1780, 9466, 988, 3152, 7867, 2711, 5227, 1983, 6699, 8720, 7506, 5240, 6008, 5100, 1150, 8494, 4640, 3458, 7946, 3362, 51, 3190, 3502, 297, 581, 1132, 8433, 2260, 9618, 5889, 7218, 8024, 9503, 7351, 354, 8499, 2157, 6236, 6501, 8818, 6240, 1652, 2724, 244, 7597, 8338, 578, 141, 716, 1455, 183, 201, 6584, 5330, 592, 5912, 7721, 99, 7544, 5790, 7920, 2117, 85, 6957, 7815, 1365, 3566, 1314, 1672, 8517, 2208, 1754, 3646, 3543, 104, 1348, 5256, 5623, 2802, 7149, 8399, 5527, 4200, 512, 6482, 7020, 6281, 7014, 464, 218, 8470, 3282, 3085, 4012, 1756, 514, 3563, 616, 3531, 5468, 7658, 1902, 250, 5975, 6379, 2455, 8610, 614, 2668, 7706, 3934, 8646, 2944, 4324, 8531, 638, 3638, 1340, 4917, 9426, 3872, 5563, 88, 3728, 6152, 466, 8658, 1970, 2418, 6591, 5689, 6509, 1445, 9001, 7840, 8629, 4132, 9080, 1534, 7182, 9236, 196, 8116, 1806, 6360, 2557, 9590, 4896, 7626, 5746, 8239, 9140, 2227, 2121, 7244, 6647, 884, 6147, 4567, 4864, 751, 9932, 9178, 9575, 9133, 6173, 876, 4480, 4881, 2625, 7826, 9860, 9934, 4757, 2551, 8280, 2560, 8416, 8873, 5329, 1000, 7134, 4547, 7772, 6354, 8794, 2951, 324, 8362, 9594, 9495, 1393, 2192, 90, 599, 5586, 5666, 66, 6063, 807, 4099, 8865, 1975, 6789, 9731, 6289, 532, 7, 2961, 8232, 7547, 479, 7072, 4619, 412, 6988, 274, 612, 6349, 7273, 2751, 8419, 9481, 713, 3306, 3078, 1206, 2942, 8359, 2616, 209, 6806, 6371, 728, 8512, 1296, 3251, 7165, 6296, 5936, 6444, 9078, 9187, 1628, 9285, 235, 8604, 5809, 9612, 6024, 171, 109, 6494, 6027, 7958, 6455, 8993, 2889, 8398, 1091, 1437, 7747, 5999, 9891, 2219, 441, 2832, 4561, 6741, 9968, 4978, 6334, 617, 8723, 9189, 5705, 1932, 3984, 4331, 7598, 3445, 3974, 9653, 3694, 8764, 7053, 8025, 6201, 4728, 5479, 8738, 7950, 6451, 4450, 990, 180, 8484, 223, 2980, 6735, 4222, 6466, 3342, 3043, 310, 7890, 711, 53, 7213, 4064, 6224, 7964, 8137, 8155, 8299, 325, 2426, 8141, 4146, 9229, 5129, 5600, 7178, 7463, 9336, 5456, 474, 906, 8599, 2555, 4084, 1960, 9752, 6832, 3360, 879, 1656, 3799, 8122, 8441, 4105, 8757, 2574, 8316, 9262, 3627, 3138, 8956, 7354, 795, 3378, 5557, 5241, 6004, 2407, 6908, 6030, 977, 8660, 161, 5726, 7756, 8420, 1195, 2617, 283, 5854, 2135, 8518, 7471, 7305, 9359, 7081, 4705, 2810, 2752, 9929, 436, 7039, 4842, 9433, 2984, 8894, 8891, 7892, 5243, 7952, 1028, 6583, 6306, 7211, 803, 896, 8744, 8961, 730, 2406, 2422, 7131, 7479, 8099, 8302, 1597, 7529, 2282, 6198, 6729, 4058, 970, 9256, 7405, 381, 1101, 4584, 5594, 2925, 3712, 9942, 9820, 1797, 35, 5815, 6265, 2336, 5620, 9868, 7911, 4347, 4939, 3544, 3372, 816, 5781, 1755, 31, 6928, 1303, 8671, 7012, 1504, 8989, 2956, 174, 9557, 89, 6298, 6428, 8158, 1063, 7373, 925, 7229, 6511, 9110, 3441, 7666, 1695, 9758, 172, 9933, 240, 5118, 8387, 9791, 1448, 522, 662, 9462, 1737, 8365, 3492, 3499, 3271, 4074, 9076, 4986, 9963, 7389, 2930, 291, 9808, 7206, 7143, 2763, 2952, 430, 810, 3244, 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5597, 6052, 1859, 2992, 7440, 2746, 1097, 8687, 6757, 6762, 5242, 1853, 2686, 5431, 887, 8942, 6150, 9090, 2531, 405, 8431, 6932, 3286, 6370, 5821, 5997, 4785, 396, 4154, 5228, 4013, 7379, 6764, 1037, 4519, 5310, 5614, 6284, 8361, 3805, 3543, 7710, 1621, 1978, 2362, 3871, 4515, 3139, 776, 7001, 5496, 5270, 386, 791, 6028, 1300, 2891, 9781, 1580, 1360, 3739, 3736, 270, 4110, 4800, 8796, 6436, 2371, 3662, 4114, 5234, 2902, 2394, 9567, 2011, 1235, 4219, 5280, 7875, 1755, 2217, 7738, 6005, 3033, 4597, 7499, 3162, 5717, 8286, 1081, 1355, 4954, 4925, 6130, 7601, 7462, 8883, 4577, 5638, 5465, 5665, 6786, 1626, 7019, 8054, 6302, 5499, 1736, 3888, 3754, 6010, 300, 1475, 1213, 4690, 2199, 1402, 2252, 4806, 559, 5089, 4890, 4730, 5128, 944, 3205, 1648, 7433, 7843, 1341, 7686, 6089, 9359, 234, 933, 1086, 8636, 3922, 5186, 7787, 4829, 6869, 3497, 7525, 9080, 994, 3615, 1093, 4541, 6318, 2839, 3219, 1479, 2218, 3124, 1447, 6876, 4652, 4168, 5338, 2278, 1484, 5251, 96, 443, 5693, 117, 3759, 4157, 4325, 4754, 9169, 4285, 9216, 6151, 6525, 2862, 8859, 5001, 1483, 5998, 3276, 6892, 1634, 3126, 3447, 5292, 4864, 2971, 3801, 8258, 7771, 4096, 5708, 5901, 7769, 4936, 1542, 2653, 4680, 3753, 918, 8152, 5642, 6244, 1603, 2997, 2857, 4466, 7417, 6665, 8901, 66, 855, 6053, 3046, 853, 7060, 75, 9006, 8115, 1432, 7240, 6246, 4057, 1050, 7204, 4176, 1489, 4355, 4565, 6044, 9098, 4946, 7732, 2283, 3826, 6599, 2164, 7226, 3931, 8153, 4048, 1038, 4158, 3293, 2080, 4397, 6555, 7562, 6913, 1293, 3894, 6821, 1411, 8654, 2586, 1497, 3859, 3996, 2404, 5886, 6315, 9896, 4820, 6485, 5229, 8835, 2793, 6519, 5467, 5362, 4452, 1472, 8201, 578, 4656, 7700, 8578, 6784, 8424, 6624, 5192, 7949, 4569, 1117, 3874, 5303, 2114, 7035, 1545, 5440, 1122, 3195, 3454, 4135, 3161, 5295, 1998, 8540, 1108, 5230, 1607, 8665, 6145, 952, 5568, 1091, 6964, 676, 3910, 3000, 1653, 8067, 8907, 2143, 4247, 5043, 6709, 2928, 6182, 9038, 468, 7286, 1886, 1659, 6877, 6731, 2518, 5344, 6054, 1118, 1054, 1347, 4082, 611, 1636, 2241, 4521, 136, 664, 1500, 6669, 1392, 5420, 2985, 7432, 4896, 4407, 7495, 5664, 5356, 1322, 8935, 3386, 9193, 5325, 1042, 8216, 2211, 1142, 3342, 3599, 2557, 2523, 8402, 2158, 5732, 7851, 3289, 132, 4987, 8970, 1409, 3803, 2427, 3694, 4659, 702, 9220, 7085, 5547, 6512, 8208, 5124, 7032, 3218, 4737, 8468, 9011, 1961, 4926, 1431, 6068, 4365, 4011, 3714, 5254, 160, 1329, 7477, 1619, 3701, 3973, 4356, 6233, 8652, 8243, 5668, 1237, 3411, 5352, 3848, 2387, 2329, 3310, 3907, 6671, 9017, 3527, 2157, 5700, 2267, 1922, 1374, 3462, 8819, 5020, 6866, 2981, 2045, 1815, 1936, 1120, 6410, 4585, 557, 269, 5766, 4672, 595, 7327, 1794, 4900, 6586, 337, 5541, 7353, 880, 4962, 7350, 6569, 6401, 7347, 792, 8797, 8496, 5999, 6107, 6055, 4215, 4321, 3808, 3484, 401, 8369, 7724, 227, 8005, 8902, 7010, 7659, 8611, 4866, 4164, 1267, 4696, 6414, 8622, 6638, 6918, 4359, 5358, 4576, 2535, 3159, 103, 551, 7470, 2120, 1152, 7660, 997, 7073, 6016, 8998, 2423, 8121, 4311, 6202, 5763, 2638, 2086, 7894, 2044, 5195, 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7311, 5849, 4851, 8018, 3106, 4863, 5444, 703, 3284, 7486, 715, 301, 1683, 2773, 8137, 5300, 2323, 1836, 8500, 4709, 5602, 4225, 7302, 4061, 1697, 7607, 8375, 3120, 989, 1155, 4294, 8863, 2525, 7650, 1863, 2967, 2640, 6072, 8157, 7786, 4607, 7828, 1109, 5670, 465, 4557, 2017, 1440, 5329, 384, 3408, 4898, 6531, 4830, 6601, 4741, 4918, 1002, 2306, 1390, 4195, 4122, 0, 3237, 9120, 5605, 6342, 5424, 5184, 4911, 4310, 3202, 5722, 3639, 4663, 4837, 7608, 5963, 1337, 1243, 5655, 3970, 1861, 2539, 231, 5574, 6134, 7141, 787, 5801, 7669, 1321, 2761, 1310, 3809, 352, 2064, 7042, 8392, 5861, 1284, 8088, 2189, 6386, 8847, 5824, 7281, 6264, 589, 1296, 2644, 2203, 3977, 456, 7580, 6800, 8588, 7166, 8478, 3700, 1959, 8347, 5698, 5196, 3929, 1079, 6274, 798, 6266, 7369, 4392, 4540, 1085, 3379, 1338, 4697, 5308, 6810, 4005, 5231, 5817, 1197, 573, 8271, 5448, 1435, 1303, 5799, 8134, 8151, 7755, 7126, 8453, 4239, 3982, 822, 1585, 1666, 4113, 2542, 3471, 8981, 4738, 6726, 3214, 3814, 6741, 501, 3760, 3037, 3749, 2441, 1876, 1176, 7637, 2543, 696, 1442, 4464, 8523, 8643, 4278, 6787, 4427, 2933, 9129, 4676, 1523, 1153, 5477, 5140, 804, 8669, 4227, 4912, 5109, 6226, 2109, 8167, 7623, 3847, 2210, 1964, 2890, 5996, 2160, 3514, 4272, 2484, 4372, 7449, 8822, 7509, 7936, 1538, 9051, 6887, 7907, 1854, 1588, 4942, 1822, 1476, 8778, 5175, 1518, 1238, 1577, 4655, 3692, 4179, 2176, 3364, 2251, 4461, 2469, 1302, 2596, 6048, 3828, 6143, 1151, 900, 8506, 8536, 454, 2106, 899, 8776, 8267, 2062, 1945, 8309, 1973, 2726, 5309, 4750, 2990, 8342, 2051, 105, 8095, 6442, 7954, 1849, 5277, 1166, 564, 6416, 2803, 4611, 1277, 2024, 891, 2454, 5639, 6099, 5243, 4619, 7002, 688, 3911, 3997, 9170, 5190, 4512, 5492, 354, 4745, 2703, 5604, 1918, 2558, 5974, 1926, 2478, 8535, 7427, 5071, 3004, 2792, 5459, 1014, 8249, 5814, 3560, 7587, 4281, 1482, 1249, 5834, 9433, 8238, 9485, 5201, 8619, 1825, 6260, 580, 859, 1154, 4870, 9252, 8968, 3624, 4067, 1071, 1332, 9848, 1757, 7242, 4603, 1765, 9725, 2265, 8062, 5843, 5215, 2111, 3376, 5784, 4773, 5007, 8418, 6622, 1933, 6192, 2273, 6734, 240, 4328, 1241, 3314, 2338, 5198, 2105, 929, 4720, 5161, 8314, 5054, 1850, 2165, 2072, 8504, 980, 3690, 6499, 5658, 6826, 1462, 1843, 1049, 4995, 341, 1921, 8427, 5269, 6361, 999, 3772, 5256, 5078, 7670, 5679, 5233, 5571, 8079, 1629, 154, 9284, 1891, 3674, 2629, 7392, 7836, 4177, 3887, 8269, 7767, 3889, 7940, 811, 1870, 1651, 2292, 3937, 7602, 3228, 8889, 1901, 2144, 1851, 9002, 1348, 25, 4256, 2530, 3119, 5565, 5601, 1905, 5116, 8035, 7293, 6326, 3071, 5006, 8200, 7762, 5049, 5151, 2690, 2656, 8675, 4985, 6472, 6353, 1524, 5371, 6448, 9661, 2286, 8118, 6696, 1667, 3693, 2068, 5522, 6822, 7864, 6756, 1809, 3354, 5869, 383, 7820, 5070, 5048, 8746, 2805, 3097, 4839, 5323, 291, 6549, 3659, 3504, 2704, 4915, 1363, 5900, 8358, 5712, 5710, 7011, 5887, 2460, 1123, 2310, 6867, 1311, 8405, 9159, 7014, 7163, 3044, 6574, 1260, 3936, 5532, 1376, 8780, 1008, 1923, 6339, 1357, 3285, 3457, 9054, 8265, 6423, 6333, 1283, 9206, 8538, 7335, 9146, 843, 8372, 6812, 168, 482, 2434, 670, 7107, 6112, 4211, 2689, 4303, 2416, 5838, 8284, 4761, 1579, 5390, 290, 5943, 7634, 4662, 3713, 1743, 3956, 5896, 1415, 4124, 1429, 9160, 4666, 8606, 3201, 5107, 1830, 2533, 1420, 229, 2714, 5091, 3822, 6934, 3789, 5593, 972, 820, 5648, 2446, 6776, 8438, 7778, 8012, 5062, 6611, 6999, 9077, 2094, 6769, 3481, 9209, 1143, 4590, 1750, 4535, 5097, 44, 2692, 1864, 3424, 9186, 6464, 1356, 1807, 1047, 3373, 4438, 3665, 1191, 8786, 513, 206, 2376, 5674, 6917, 3734, 532, 3535, 267, 7702, 3927, 6556, 8773, 3588, 6698, 345, 5423, 2439, 9296, 828, 7490, 7133, 817, 6117, 2748, 2395, 2908, 2049, 1375, 3646, 7361, 1764, 9297, 3291, 18, 417, 2015, 6589, 1700, 9050, 521, 7893, 5911, 7471, 830, 3647, 3553, 1174, 3912, 1980, 218, 1182, 2660, 5434, 6395, 4905, 3349, 2636, 3121, 2505, 5543, 3243, 7250, 2749, 5483, 963, 4174, 4691, 5657, 8565, 6839, 3510, 3681, 6722, 6492, 985, 7970, 8064, 7511, 3494, 7003, 5075, 1669, 3735, 5463, 8043, 7128, 4234, 7268, 3571, 1424, 6986, 7267, 7885, 6432, 5160, 1269, 7773, 1469, 2356, 3428, 1946, 2339, 8412, 5822, 861, 5962, 6770, 2855, 8615, 3898, 4880, 195, 6447, 7336, 4424, 979, 6439, 39, 2590, 9833, 2691, 982, 4931, 3400, 1281, 6627, 5788, 2296, 1468, 5525, 6131, 4836, 5102, 4675, 1981, 7770, 7385, 6868, 5908, 4561, 7310, 7423, 5636, 8083, 4144, 3032, 6849, 3707, 5384, 1367, 4940, 1751, 5498, 8378, 4821, 1245, 1394, 8929, 1948, 5603, 8370, 3830, 4041, 805, 6098, 7782, 5282, 4928, 1741, 6592, 1792, 1448, 1200, 4868, 3021, 3019, 8648, 5966, 8230, 5666, 1637, 7800, 2575, 624, 1845, 2013, 2070, 2183, 6036, 9609, 714, 6468, 1732, 7796, 2042, 2240, 2679, 4719, 3280, 2631, 4340, 3132, 708, 1450, 1101, 6813, 1737, 1024, 1671, 631, 7182, 4497, 3303, 8983, 7908, 152, 5978, 1352, 1335, 7853, 7535, 2353, 5194, 5248, 525, 810, 2071, 3895, 2831, 1934, 3764, 7743, 1346, 907, 5313, 5785, 3561, 5056, 1515, 2616, 1318, 7340, 9407, 901, 2577, 8332, 1546, 2244, 2133, 3384, 2405, 814, 8218, 157, 1573, 3412, 2873, 5377, 6479, 3107, 6216, 9136, 7210, 7901, 7502, 2837, 2272, 2012, 1872, 6557, 2437, 119, 5632, 4604, 1796, 2465, 4695, 9040, 2581, 3891, 8946, 1499, 4468, 3035, 3074, 4134, 6510, 5236, 4873, 7189, 7568, 3154, 8817, 8832, 3083, 4160, 7553, 840, 8348, 3855, 3869, 6188, 3406, 9442, 1216, 3009, 3086, 6579, 38, 2236, 5397, 6652, 2654, 6660, 6748, 2148, 857, 6967, 2307, 8539, 4622, 1833, 898, 4004, 6765, 3904, 951, 2661, 5335, 2797, 1911, 6994, 3356, 8662, 49, 2583, 7088, 4945, 4639, 1835, 6766, 1529, 2791, 5379, 4725, 6433, 636, 5212, 6553, 964, 7329, 3062, 4516, 9105, 5685, 8564, 7590, 3135, 6076, 2745, 9308, 8282, 738, 8102, 1157, 8911, 7315, 5019, 8938, 7437, 4255, 1869, 7305, 3111, 3397, 8312, 2386, 2766, 85, 2367, 6718, 1528, 3860, 3327, 1892, 644, 680, 6823, 679, 6645, 5929, 6572, 5880, 9683, 5863, 5786, 6178, 4765, 2364, 1575, 3556, 4071, 3365, 6845, 8446, 535, 6902, 6344, 8690, 4165, 3767, 3358, 3415, 7797, 6926, 429, 4017, 675, 9125, 7323, 5753, 7367, 6421, 1977, 7390, 4121, 4323, 7481, 3051, 3813, 2759, 7644, 5653, 5165, 3144, 4689, 7516, 6840, 8027, 4993, 8270, 3881, 4188, 2946, 5504, 7068, 2048, 7541, 1399, 5046, 8876, 3555, 467, 4555, 5983, 2020, 3187, 704, 1217, 7909, 1501, 1692, 2223, 2219, 519, 5758, 379, 4180, 1410, 5782, 6490, 6804, 5870, 3625, 1745, 4584, 1991, 6617, 5024, 6297, 1774, 7403, 100, 8829, 6400, 2253, 6, 9666, 5798, 8530, 8135, 4062, 1690, 7096, 8028, 4803, 3040, 315, 6851, 2999, 5945, 4035, 7655, 9039, 4463, 1178, 8403, 799, 3903, 7052, 3236, 2787, 698, 1771, 9234, 3669, 5375, 9058, 4627, 6746, 2309, 8768, 6796, 5081, 8708, 6629, 1680, 1907, 755, 6960, 6320, 942, 4804, 7554, 6453, 325, 5403, 1388, 6500, 5704, 8497, 6700, 2468, 3005, 3345, 3136, 7838, 4422, 1463, 5265, 7584, 2333, 1075, 7780, 3155, 131, 9676, 3252, 6105, 4385, 7172, 2991, 3975, 5671, 7448, 4595, 2751, 3854, 9478, 1057, 3068, 2060, 6199, 5635, 5368, 4266, 1828, 3301, 8032, 1007, 2239, 5457, 4797, 4671, 2226, 4418, 4657, 5372, 871, 8958, 445, 7140, 3060, 2812, 3604, 5831, 3923, 1731, 634, 7784, 5469, 8932, 4224, 287, 495, 7125, 1611, 1052, 4172, 4819, 826, 5286, 4318, 2906, 3459, 832, 4137, 4430, 1379, 7729, 5867, 6208, 2107, 4500, 6570, 4069, 5555, 5349, 4616, 6836, 2152, 2944, 3207, 3928, 7544, 3773, 6008, 6773, 2716, 3969, 9254, 5240, 2509, 1396, 6547, 3865, 2352, 1354, 8090, 7635, 1193, 1584, 7177, 9110, 543, 5857, 8976, 3519, 626, 4117, 7029, 328, 8017, 2110, 35, 8224, 1175, 5064, 5096, 8263, 3623, 6425, 7077, 7504, 2369, 7957, 2904, 5032, 2925, 5268, 6523, 5304, 807, 1840, 1061, 1009, 4762, 4832, 2082, 433, 2647, 7847, 146, 6237, 1900, 2840, 1631, 4650, 489, 477, 2926, 2131, 4581, 7666, 1942, 1301, 2231, 8160, 6024, 3163, 399, 6006, 6714, 6225, 4286, 5808, 1563, 6081, 5387, 8303, 2213, 3199, 5673, 3787, 3955, 9082, 5337, 821, 7303, 2838, 5587, 3169, 9115, 1940, 707, 2222, 6152, 1747, 3087, 5260, 1460, 5018, 8594, 7494, 6103, 7104, 7383, 8078, 2567, 6351, 6552, 9774, 8785, 5794, 1508, 7809, 6239, 4502, 758, 9402, 1361, 4885, 5932, 7985, 869, 3028, 3654, 507, 7219, 6462, 5714, 6526, 1266, 781, 4329, 3353, 4701, 3680, 4774, 1567, 3439, 5699, 7275, 4296, 3299, 3273, 6686, 6830, 1397, 4948, 2028, 1406, 8555, 3671, 2671, 7869, 1403, 614, 7232, 6267, 3590, 5713, 981, 3173, 3776, 6496, 5830, 640, 4892, 8290, 2588, 2888, 2192, 8738, 7154, 3300, 5487, 8450, 5723, 6797, 2727, 5552, 4649, 6980, 5875, 9256, 1618, 5464, 8357, 3267, 3422, 778, 3418, 5892, 1570, 6633, 1158, 7425, 5425, 4705, 42, 3658, 922, 1630, 6360, 5927, 1568, 6220, 8343, 1343, 9140, 4879, 2237, 8234, 1265, 9033, 6093, 2608, 2819, 7028, 6568, 3226, 8000, 1749, 2331, 5804, 3695, 2879, 7922, 353, 241, 5178, 5711, 1984, 6643, 8772, 274, 8928, 7216, 7546, 9171, 2161, 7215, 6608, 359, 6911, 5520, 4702, 7178, 9175, 1466, 577, 5775, 6846, 5846, 1608, 7334, 618, 1582, 4103, 6191, 9214, 6277, 7980, 8183, 6894, 2375, 3127, 6243, 7589, 4775, 6100, 4083, 296, 6369, 3729, 9352, 7395, 2005, 7826, 2899, 5847, 7591, 299, 2318, 2188, 8740, 1478, 1532, 2801, 5641, 5447, 3054, 2389, 1968, 1549, 8919, 2090, 6429, 5177, 4665, 2546, 8739, 1893, 201, 534, 5533, 3521, 4933, 8445, 3672, 8437, 2752, 3209, 1559, 8108, 4679, 7679, 9100, 2659, 4545, 2836, 4678, 1041, 6091, 8193, 9150, 7352, 7916, 5057, 8961, 8279, 6060, 993, 3057, 850, 8550, 7749, 4600, 5553, 9326, 5348, 473, 8222, 8645, 4997, 5050, 4196, 9565, 9153, 1026, 128, 1339, 3466, 8714, 1994, 5086, 4715, 3727, 1058, 5263, 4111, 8266, 3839, 2079, 6357, 5598, 7694, 4183, 3606, 5583, 919, 1088, 4881, 4178, 6593, 8541, 8122, 4827, 5513, 5366, 2136, 2522, 8321, 2054, 6321, 3370, 4958, 5370, 5761, 4889, 3500, 4197, 8313, 8262, 8921, 2370, 955, 2009, 5418, 883, 6094, 4442, 961, 685, 1421, 8547, 4596, 606, 8952, 3223, 420, 6598, 771, 6323, 777, 3109, 5079, 1220, 6037, 5112, 7294, 5453, 6956, 4074, 1601, 6979, 1730, 621, 5283, 6875, 5964, 2191, 3656, 8644, 6033, 7751, 3967, 8546, 6491, 6253, 2302, 5818, 5436, 876, 5232, 3933, 2732, 5509, 3307, 5928, 4795, 5709, 8757, 7946, 9117, 2994, 6616, 6713, 3513, 4334, 2023, 2475, 5430, 3957, 4100, 2137, 5183, 1493, 8150, 7514, 8914, 800, 6375, 5748, 3487, 1307, 4075, 7636, 180, 4051, 3008, 2228, 5683, 3486, 3200, 8268, 5014, 4190, 3962, 3641, 1983, 4393, 5626, 8704, 3130, 765, 7639, 4518, 6207, 1333, 6478, 8391, 824, 4757, 8803, 169, 4313, 8198, 5324, 6535, 4965, 6805, 70, 30, 1196, 1225, 6270, 211, 6543, 937, 716, 940, 3483, 1407, 6040, 4415, 6013, 4298, 5585, 4906, 3541, 6542, 8170, 7752, 5628, 2780, 8897, 2918, 6781, 2155, 1449, 1513, 6655, 7617, 133, 7236, 5060, 4752, 5855, 6688, 5298, 2397, 3719, 6019, 1904, 5774, 245, 6138, 8653, 5800, 3835, 1106, 912, 9046, 732, 2069, 1428, 8231, 7124, 1324, 5631, 8632, 7338, 734, 3390, 5951, 4358, 311, 7324, 8104, 6929, 1139, 8221, 2315, 6137, 8253, 6140, 5739, 3449, 7813, 835, 720, 1884, 2129, 4858, 1230, 6404, 3369, 4440, 1596, 7228, 1461, 4504, 8830, 4503, 7221, 4341, 5216, 2517, 7945, 1787, 5203, 8003, 6467, 8596, 6373, 1909, 5505, 4735, 8236, 2637, 9669, 2499, 8754, 641, 2451, 7089, 3900, 7428, 2156, 6456, 1387, 7101, 8326, 4964, 4623, 7402, 7399, 846, 3381, 2400, 5971, 652, 7056, 3994, 4460, 187, 3882, 5551, 6720, 5066, 7239, 9157, 2700, 7091, 4852, 7065, 740, 4388, 2564, 6862, 1134, 5662, 2777, 7726, 331, 9223, 2613, 282, 8795, 3432, 2713, 9213, 2208, 1954, 7058, 2601, 1592, 6261, 7714, 7779, 6697, 5832, 5223, 760, 2822, 4753, 6711, 5095, 2559, 1035, 6774, 1096, 5279, 389, 1133, 5742, 5864, 130, 3563, 2034, 8255, 4791, 8800, 2554, 5607, 7657, 9247, 2513, 1729, 6309, 8407, 3573, 6399, 2145, 1811, 882, 542, 6699, 3441, 3095, 2742, 4722, 6719, 1925, 3311, 7168, 7342, 4956, 249, 4867, 2343, 5503, 1059, 1067, 4692, 6578, 5701, 7533, 6727, 6668, 2785, 6097, 8824, 6816, 1180, 3143, 7278, 4095, 3191, 6197, 8368, 5385, 2526, 9068, 5924, 333, 3913, 47, 2882, 2966, 5334, 4871, 2920, 7537, 6540, 9318, 6122, 4805, 690, 991, 1250, 239, 9754, 6983, 1772, 7320, 6752, 650, 1080, 5040, 3168, 5218, 6084, 4588, 5620, 1999, 8434, 273, 6905, 528, 8986, 8337, 4262, 956, 4826, 5150, 112, 639, 674, 5733, 1317, 147, 6474, 3676, 6614, 1306, 5381, 5077, 6740, 1790, 1738, 1183, 9912, 6176, 5728, 4509, 5202, 7413, 7262, 4721, 8382, 3103, 3627, 663, 8097, 7564, 4084, 6461, 2736, 6211, 1527, 6336, 3137, 3265, 5291, 8401, 3165, 8195, 6245, 4448, 5795, 7034, 8782, 7615, 9199, 4037, 5199, 7016, 6623, 6534, 126, 3405, 7902, 3387, 4843, 4465, 46, 6481, 4883, 1985, 9675, 5322, 7503, 4186, 6186, 1247, 1320, 3479, 2929, 3012, 6039, 1650, 1719, 3952, 476, 6257, 431, 2859, 316, 3530, 2619, 2125, 4125, 3488, 6880, 2788, 3520, 8164, 7625, 3261, 6291, 5873, 2750, 5919, 4917, 8984, 7008, 9093, 4894, 2134, 2767, 4736, 3685, 5159, 4020, 1292, 4251, 8385, 5460, 4637, 5952, 4130, 23, 6691, 2674, 5, 5793, 2597, 6566, 6516, 3750, 803, 7630, 1072, 2458, 5865, 7552, 1066, 1168, 1458, 8182, 9071, 5036, 7045, 8661, 5127, 6311, 4289, 8621, 6834, 561, 3596, 8432, 6460, 3045, 2, 553, 7039, 3333, 638, 8931, 99, 8846, 4444, 8999, 6394, 839, 5004, 2118, 9954, 1336, 8948, 1939, 5737, 3642, 6687, 4229, 748, 7627, 3655, 1018, 767, 4974, 5576, 3186, 5108, 4992, 8511, 9575, 4817, 5933, 7748, 2459, 7989, 796, 2096, 3113, 996, 7384, 416, 3325, 408, 2480, 5132, 93, 1455, 8992, 5542, 1294, 5852, 5755, 3255, 1565, 4254, 4815, 5946, 8783, 8428, 4548, 858, 2300, 8856, 3396, 294, 7466, 7265, 6732, 1020, 9137, 3875, 7730, 6090, 1800, 7984, 5967, 5489, 4217, 2632, 7436, 7057, 3298, 8866, 5810, 9191, 2448, 3620, 8609, 4029, 2175, 5511, 1359, 6657, 156, 1803, 244, 3845, 4428, 1908, 8223, 9860, 4282, 2537, 1393, 8602, 6984, 3332, 4547, 492, 60, 1254, 8841, 1488, 9938, 7401, 9794, 6366, 1138, 6155, 5361, 7896, 4787, 324, 8544, 4598, 3056, 6187, 1813, 545, 2037, 7772, 8098, 4770, 4036, 4808, 8002, 6907, 599, 1758, 2939, 2076, 8190, 6161, 5765, 410, 8969, 4309, 5965, 2710, 3993, 1077, 5897, 4480, 6248, 6899, 298, 1820, 4556, 151, 3294, 5491, 4207, 6856, 9452, 5610, 7376, 1962, 8753, 9126, 3732, 4250, 3829, 695, 2850, 9536, 7158, 2297, 5514, 4439, 5493, 1092, 6095, 4990, 4346, 570, 7134, 8858, 4580, 7578, 3897, 1951, 7464, 4337, 7415, 3679, 7366, 969, 9116, 1104, 4312, 7910, 3965, 4170, 9057, 7573, 8447, 7664, 6730, 7461, 8827, 7225, 8411, 4410, 286, 4786, 5399, 2033, 2435, 3991, 1125, 7958, 4068, 5848, 6172, 276, 9422, 7971, 1578, 1252, 8146, 5825, 7575, 4264, 7184, 7321, 3114, 3816, 8720, 967, 115, 569, 1372, 1003, 1141, 7677, 217, 2019, 7735, 6871, 4901, 9138, 4486, 6050, 8229, 4324, 6469, 5608, 8126, 224, 610, 5644, 9590, 1485, 2996, 3315, 3468, 1605, 7259, 3890, 4133, 3905, 7354, 3229, 8568, 8293, 8951, 1883, 7662, 8109, 3077, 8664, 2605, 8004, 2230, 8806, 1232, 6820, 1670, 6141, 2481, 4842, 1116, 5719, 3197, 3820, 2886, 2951, 8781, 788, 6692, 4631, 2544, 6227, 1233, 8070, 666, 1274, 1040, 6936, 7330, 751, 3213, 5595, 4743, 3818, 8207, 1756, 2317, 7245, 2781, 5210, 7697, 7468, 1177, 7382, 2650, 8163, 1386, 3429, 6743, 6382, 4141, 3443, 4059, 8277, 7969, 61, 8939, 4977, 1319, 8476, 6819, 2087, 5518, 7833, 6590, 3558, 8886, 2127, 351, 8670, 6954, 8142, 3725, 7264, 8462, 8055, 8549, 3183, 7241, 7736, 3268, 4364, 7117, 8566, 5008, 1111, 1509, 8991, 171, 8910, 3954, 481, 1244, 2960, 8572, 1312, 8399, 8185, 4420, 6372, 3545, 8953, 6300, 903, 5405, 2565, 6363, 9568, 7012, 4097, 7500, 6921, 4629, 1847, 2978, 2280, 2092, 5859, 7397, 2043, 2740, 8388, 9052, 7094, 5840, 2504, 1236, 2147, 2589, 7351, 5443, 3099, 4302, 8918, 8677, 9539, 7380, 8945, 3065, 4268, 8917, 8713, 309, 6149, 6606, 1445, 1171, 5331, 4426, 3650, 6807, 7815, 635, 293, 4344, 9800, 1326, 8383, 5772, 406, 7633, 9151, 6558, 1678, 3067, 6444, 8112, 3498, 3442, 2258, 700, 925, 7776, 3682, 366, 1486, 4305, 9079, 4661, 423, 523, 116, 6289, 4668, 1006, 9937, 9473, 8046, 6891, 4681, 2783, 3959, 5092, 51, 5207, 3444, 5877, 4980, 5482, 1643, 6290, 9004, 1587, 8696, 694, 7295, 8042, 14, 5205, 9094, 2205, 2295, 5470, 212, 288, 5918, 2373, 1286, 4238, 6689, 4455, 1259, 1687, 1212, 1644, 2912, 770, 4288, 4401, 2858, 1276, 2135, 5812, 3989, 5734, 7191, 8975, 8492, 9264, 7004, 2419, 6136, 749, 932, 6502, 5360, 7487, 4908, 6560, 8171, 7747, 9221, 5530, 6561, 4633, 7497, 3269, 775, 8325, 4212, 7459, 3968, 4788, 8421, 8180, 1726, 6754, 6955, 9109, 3222, 5101, 8989, 1056, 2903, 7581, 8232, 3337, 1988, 8727, 4723, 506, 8870, 3309, 3569, 2398, 2834, 8181, 9084, 1777, 3272, 9635, 2325, 1622, 7167, 6193, 2982, 15, 5142, 1459, 1866, 8604, 7326, 3825, 5378, 6680, 3194, 4475, 3189, 1446, 8404, 4414, 5047, 725, 5752, 6171, 1878, 2980, 5393, 2630, 8944, 6430, 8752, 3726, 1496, 6011, 6029, 1795, 1599, 910, 1826, 3741, 4435, 9195, 9081, 6874, 4914, 1350, 8982, 1102, 687, 2676, 7857, 140, 1522, 677, 3626, 6219, 1691, 5052, 347, 509, 6146, 8014, 2250, 1624, 9376, 717, 6909, 7620, 731, 7521, 2719, 4923, 7993, 7895, 9179, 6173, 4654, 36, 5080, 6278, 6271, 3203, 5769, 1082, 2901, 322, 470, 2288, 1824, 9178, 3718, 1190, 4876, 4173, 8798, 6941, 6009, 7280, 1275, 5623, 1560, 1902, 22, 4772, 1137, 2963, 7691, 6482, 8024, 6631, 263, 4210, 2940, 7139, 3038, 4351, 5026, 5404, 2603, 3048, 3836, 4602, 7217, 3377, 4593, 4859, 6923, 2547, 661, 6537, 1778, 5858, 8627, 3924, 91, 741, 2411, 37, 9037, 2628, 6567, 2672, 1262, 795, 4216, 1871, 9530, 4951, 6371, 701, 71, 2392, 5895, 377, 5182, 6396, 4711, 5526, 4437, 4092, 8519, 2516, 3984, 6571, 2579, 6032, 6675, 517, 2489, 3697, 988, 737, 3478, 1282, 2174, 1094, 4989, 2379, 4811, 4200, 3216, 977, 5629, 4955, 3780, 7388, 6507, 9200, 8114, 127, 4592, 3427, 6662, 3576, 2852, 6679, 8581, 1433, 7880, 588, 8227, 142, 3489, 4763, 8751, 2471, 2789, 5485, 3160, 4231, 3360, 6329, 7287, 5261, 9236, 6166, 692, 3188, 4739, 4079, 6886, 6733, 7247, 8516, 3578, 2865, 1065, 9739, 6831, 3549, 252, 1997, 7501, 1453, 8120, 1520, 8144, 8577, 3908, 1516, 2622, 3041, 5627, 5206, 2669, 4865, 3123, 5099, 5660, 8158, 3175, 8934, 1441, 8094, 6529, 141, 9085, 4138, 7027, 8851, 2553, 5427, 1209, 355, 4261, 5022, 592, 7610, 1633, 833, 3827, 3283, 2185, 3617, 7817, 2487, 866, 3312, 753, 1315, 2327, 7859, 6288, 8737, 9089, 3867, 8289, 6906, 5589, 8502, 2515, 7246, 8272, 6971, 837, 7845, 4831, 2056, 8995, 923, 8106, 8172, 5002, 8990, 4683, 264, 8096, 4758, 5950, 320, 8395, 3227, 387, 7393, 1480, 1953, 2943, 2519, 6157, 7530, 2346, 2140, 8248, 2604, 317, 9317, 7976, 8770, 745, 2084, 647, 6801, 2132, 8340, 727, 619, 1028, 7962, 2964, 4996, 5854, 219, 3712, 5330, 1132, 3981, 3092, 8148, 8548, 5779, 8239, 203, 1045, 9806, 4012, 2162, 8442, 2201, 233, 2711, 385, 457, 4941, 256, 5984, 4943, 6576, 6457, 1013, 8616, 6735, 8811, 8336, 8997, 3832, 4658, 5083, 2532, 7224, 2555, 6890, 9180, 8744, 4246, 6858, 3297, 8177, 5931, 149, 3343, 8725, 4514, 4733, 1437, 1879, 2872, 1647, 2512, 6626, 7740, 8092, 5894, 3079, 5923, 909, 7781, 7374, 5649, 8281, 3052, 9755, 5084, 6620, 4291, 2382, 7950, 8215, 8520, 6215, 1163, 1931, 7318, 8855, 6759, 176, 6795, 3410, 7322, 6814, 1060, 550, 1165, 5705, 7460, 6881, 6708, 558, 549, 9192, 2540, 7017, 1903, 7520, 2271, 8838, 6000, 6473, 8880, 9736, 920, 3883, 2476, 8769, 5122, 5439, 5364, 2675, 6487, 2796, 8726, 6583, 6654, 3951, 1404, 7959, 4643, 2361, 5398, 1834, 990, 3704, 6745, 3534, 8974, 5238, 1380, 560, 6092, 4317, 8298, 6426, 4938, 2138, 6128, 7651, 7235, 8585, 174, 2415, 3166, 5118, 6808, 9118, 8086, 397, 3304, 971, 742, 7982, 1882, 3225, 6670, 6739, 8574, 5902, 5451, 4445, 2702, 2198, 9147, 8552, 2720, 930, 1473, 9766, 199, 3995, 5105, 8205, 8367, 6214, 3257, 7244, 2336, 3104, 3249, 1253, 9858, 1766, 3516, 5845, 6158, 8603, 6272, 6403, 1947, 4635, 4971, 8169, 1074, 1364, 7067, 4554, 3564, 7288, 5563, 8422, 4824, 5692, 7346, 5327, 7409, 7841, 2961, 854, 1639, 8242, 4861, 3322, 9346, 432, 3777, 7041, 5889, 7566, 9156, 9107, 2497, 8119, 6047, 6852, 2227, 303, 8470, 875, 502, 7713, 6596, 8640, 2697, 494, 7926, 4049, 789, 2324, 2936, 884, 5126, 6080, 2818, 802, 8894, 6407, 3063, 2652, 242, 6324, 1288, 3755, 9886, 4523, 5792, 3496, 57, 6777, 2995, 3069, 4292, 3863, 8335, 3770, 2050, 1278, 8926, 5851, 7806, 5797, 8175, 1017, 3115, 9022, 6600, 2755, 4382, 7932, 5134, 9167, 2722, 1010, 4856, 497, 6873, 7872, 1723, 4640, 4128, 8813, 3250, 2100, 4562, 7296, 2828, 8729, 1342, 6063, 428, 357, 516, 3724, 4613, 5495, 5072, 5573, 7890, 7291, 5776, 4423, 196, 1860, 9474, 669, 3842, 7446, 5860, 7598, 2038, 7270, 89, 4218, 6575, 7604, 6961, 6299, 2551, 4838, 6236, 5876, 783, 4090, 451, 4947, 9334, 1140, 3536, 2335, 6223, 8718, 2842, 2924, 87, 3548, 3306, 4149, 7953, 5044, 6175, 3857, 6269, 8515, 348, 8805, 5637, 7804, 7420, 4126, 6685, 453, 5442, 7757, 4007, 7555, 6674, 5170, 77, 2214, 4809, 790, 7463, 1539, 7408, 819, 5977, 7274, 5031, 5391, 3748, 7807, 1194, 7594, 221, 7614, 371, 3495, 6301, 7394, 6817, 6859, 7025, 5828, 8410, 2545, 8274, 5422, 8149, 5164, 1600, 9041, 8093, 3572, 8107, 3007, 4937, 7996, 1043, 6904, 5332, 464, 3586, 6205, 1744, 5905, 7877, 5253, 7229, 3762, 2030, 3791, 8339, 8479, 8660, 2368, 8985, 8317, 7788, 5577, 5815, 2913, 6717, 4860, 3612, 2021, 4076, 3565, 5162, 5343, 9016, 4511, 2341, 3448, 3262, 7600, 5661, 4636, 3915, 2866, 7689, 2085, 6031, 5874, 7834, 5272, 9205, 8025, 7870, 7848, 3064, 4115, 3799, 7456, 5579, 4673, 8750, 2830, 3490, 5956, 9261, 3248, 3295, 4112, 7708, 6417, 3129, 1695, 2987, 5986, 5395, 5545, 2418, 338, 7997, 2914, 3833, 2927, 6466, 2168, 7079, 9049, 2154, 8316, 8865, 8730, 3851, 9585, 8276, 2811, 3511, 6022, 1829, 3566, 8048, 4492, 5271, 1490, 5455, 8950, 6505, 6438, 733, 9426, 8873, 8941, 9154, 5369, 3758, 9822, 764, 4222, 3184, 3460, 9408, 8056, 4099, 1090, 1783, 4077, 7585, 1471, 411, 3324, 5163, 6737, 8423, 2693, 6562, 7453, 6695, 7667, 8940, 204, 1503, 5767, 4453, 6378, 7561, 7455, 1036, 5449, 8575, 9891, 1937, 2878, 8417, 3461, 1557, 2548, 4140, 472, 3794, 642, 1495, 1444, 226, 1039, 7522, 6477, 7238, 4647, 5790, 2345, 6548, 2445, 9554, 2639, 6861, 5726, 1270, 193, 6415, 7474, 8871, 1073, 1234, 1614, 3524, 7258, 4975, 8301, 8196, 7558, 8973, 4279, 4759, 8247, 292, 6973, 4258, 5296, 1874, 5827, 2494, 2923, 6793, 321, 582, 5760, 4391, 5914, 5561, 1145, 404, 5468, 8723, 1543, 2063, 5480, 1547, 5975, 2900, 6446, 2314, 230, 1975, 4409, 8057, 2422, 184, 6412, 2172, 1776, 4065, 865, 8755, 1279, 4625, 936, 8346, 7876, 7185, 2022, 3347, 2721, 4304, 3180, 2163, 5316, 8493, 586, 1201, 9187, 6676, 1280, 2359, 5401, 8562, 6070, 6345, 6799, 6392, 5114, 1314, 4209, 3435, 7137, 4450, 7794, 5586, 4778, 284, 7571, 5676, 3879, 1289, 1725, 9031, 9438, 7987, 2915, 9364, 1340, 1735, 1553, 3437, 3559, 9133, 2500, 9164, 3179, 7508, 4651, 1677, 7411, 400, 6939, 4984, 375, 8034, 2284, 7557, 5764, 2117, 9383, 1206, 101, 5556, 1504, 6910, 7582, 710, 8790, 3661, 6972, 8110, 2057, 246, 6450, 9878, 7648, 1095, 1613, 9356, 7649, 3022, 7276, 8329, 1219, 4331, 8379, 343, 9208, 5612, 3663, 98, 3, 2347, 53, 8836, 6554, 1135, 7444, 9189, 7197, 8888, 7112, 3544, 6716, 5191, 5594, 2299, 5246, 4276, 1791, 7534, 5572, 3178, 9749, 58, 8849, 3371, 8359, 2874, 1257, 2798, 4855, 681, 8912, 9603, 6914, 6059, 9873, 4380, 1708, 5746, 1029, 2385, 7766, 7398, 6241, 9063, 5106, 6354, 2804, 4335, 65, 2762, 9111, 2756, 8345, 1982, 5497, 6051, 9218, 3027, 6027, 7965, 2254, 5991, 5624, 7899, 3687, 1842, 4091, 2668, 8166, 8638, 108, 9315, 1064, 1365, 9306, 8439, 9420, 3445, 2799, 2753, 9557, 496, 2895, 1799, 6884, 64, 4729, 7325, 3419, 8443, 6828, 2790, 4449, 5771, 7889, 9217, 7524, 4530, 8794, 392, 5780, 7513, 2031, 3614, 5156, 4978, 1136, 6454, 2930, 9379, 3331, 8861, 633, 6959, 6273, 6258, 2282, 1004, 1263, 8482, 8419, 6451, 4023, 9482, 2955, 3864, 8457, 279, 8176, 5912, 8823, 2973, 2438, 2817, 3796, 5930, 8905, 5011, 4146, 7734, 4145, 5515, 3583, 879, 3668, 5681, 7878, 3807, 1256, 1000, 522, 3985, 6908, 8291, 5446, 2634, 6419, 2810, 1161, 9785, 8721, 4155, 3061, 4307, 7536, 6982, 5209, 6612, 7935, 9615, 3731, 7237, 4732, 9246, 7924, 4175, 7709, 5686, 213, 2421, 1769, 886, 5146, 4840, 5326, 7887, 5034, 9706, 9801, 5938, 5402, 6347, 1328, 2000, 5087, 7023, 3886, 7964, 7538, 4478, 2802, 7389, 8498, 5169, 6132, 2768, 2670, 1748, 266, 1604, 862, 7918, 7175, 7795, 1703, 9036, 8020, 6147, 9000, 8217, 8465, 7567, 7704, 1368, 8038, 2776, 6293, 7545, 7212, 7911, 4544, 6201, 4132, 6753, 4240, 3730, 2816, 8964, 1121, 3043, 8015, 7047, 336, 82, 8013, 6255, 7046, 6725, 3512, 7007, 7337, 5010, 2598, 7386, 4257, 905, 3806, 4016, 283, 5354, 5820, 9028, 4043, 1439, 1848, 6968, 8349, 5490, 5669, 8426, 8047, 3292, 7132, 9114, 6642, 978, 223, 3275, 5691, 8052, 350, 7678, 1378, 8678, 5651, 538, 5600, 4491, 8036, 9210, 6872, 1589, 8331, 6313, 1298, 7092, 3585, 7479, 5479, 3688, 8440, 6355, 1974, 6434, 4749, 8605, 2355, 6815, 4, 2151, 1620, 8071, 7360, 373, 1551, 3305, 8864, 2207, 7955, 1868, 629, 7856, 7802, 5144, 4531, 3893, 5702, 7442, 8295, 3934, 5672, 7510, 474, 5197, 4472, 6102, 6632, 1770, 7131, 8306, 8354, 779, 3425, 7, 6896, 2196, 8365, 7952, 4780, 7986, 8517, 6116, 8228, 7961, 4378, 1186, 1215, 1384, 9097, 2455, 1760, 3362, 5868, 8214, 2594, 5245, 8311, 3244, 1912, 9571, 323, 5419, 5373, 9074, 84, 3660, 72, 7565, 809, 172, 4228, 8191, 4988, 8302, 9411, 7249, 8045, 498, 5888, 4169, 6259, 7024, 7654, 3653, 2705, 7569, 575, 6563, 968, 2293, 5247, 9198, 4260, 831, 9737, 7476, 7588, 6818, 4295, 1713, 6838, 4609, 7498, 3070, 3834, 8679, 9012, 1880, 7992, 4370, 8022, 2592, 9047, 608, 5407, 5090, 7013, 3290, 78, 2091, 4528, 5743, 5531, 5948, 2311, 4621, 8240, 721, 1502, 3206, 5652, 5715, 7081, 6249, 8771, 2707, 475, 1652, 7187, 7106, 1957, 3242, 164, 5922, 673, 8821, 5094, 8001, 1395, 21, 3407, 3385, 3122, 1451, 6509, 1231, 7026, 7675, 7430, 1788, 6282, 5972, 5807, 3602, 6168, 8397, 9697, 8760, 9135, 1739, 9573, 5224, 4152, 1430, 622, 5129, 1952, 9492, 135, 4236, 7973, 4924, 8956, 8592, 7018, 4872, 5976, 365, 973, 3177, 625, 7049, 1808, 1144, 5770, 9108, 7966, 4687, 8508, 8820, 3666, 1785, 3153, 7643, 8305, 1179, 750, 6390, 4374, 3790, 514, 1012, 3501, 6298, 1146, 6113, 1862, 3147, 2956, 8241, 8178, 1087, 546, 6340, 5241, 9682, 6203, 3584, 1023, 2146, 2479, 1615, 7493, 5208, 3271, 3450, 9104, 5738, 327, 412, 8676, 4909, 4018, 415, 7549, 6682, 418, 1381, 4513, 6263, 9710, 9020, 1841, 5181, 4477, 8416, 3096, 4441, 2701, 6014, 1586, 8503, 7198, 1929, 6712, 253, 319, 2779, 5429, 4742, 5264, 155, 1313, 8235, 2159, 3239, 9342, 8350, 1969, 6724, 3366, 7119, 395, 6494, 8319, 5554, 7260, 281, 4558, 6123, 4030, 7785, 1556, 754, 7572, 1537, 7021, 4369, 258, 2744, 6729, 1150, 6565, 7308, 2962, 4213, 4431, 1417, 6962, 2108, 6995, 6281, 9627, 5185, 370, 7206, 8960, 1514, 756, 4087, 6648, 2482, 414, 9587, 4396, 7005, 4610, 3463, 6621, 7257, 7727, 4402, 596, 8341, 6618, 8362, 3710, 3472, 7273, 7472, 8882, 4700, 643, 7792, 8068, 7930, 8741, 9387, 2234, 8927, 9624, 2209, 5985, 567, 297, 3633, 856, 9070, 369, 1005, 2195, 682, 7344, 3579, 2905, 9600, 3990, 4893, 6480, 4899, 1001, 5802, 306, 797, 7108, 9222, 2602, 4727, 1898, 1405, 5392, 9010, 5688, 5592, 7396, 3723, 3394, 8483, 6316, 6738, 1454, 935, 5871, 945, 3372, 9693, 3872, 2563, 8161, 6198, 1184, 3771, 1972, 8244, 7693, 7672, 5386, 6142, 3378, 4162, 54, 2922, 785, 4694, 852, 5559, 4326, 1976, 8315, 448, 9185, 958, 3010, 7454, 4566, 3266, 8724, 8441, 7171, 4058, 539, 8874, 3505, 2610, 8278, 5213, 7254, 9001, 616, 5059, 7148, 8887, 943, 5028, 59, 6163, 7407, 4496, 2074, 2733, 185, 1369, 2401, 7722, 9911, 8694, 6636, 9202, 7037, 209, 5103, 3085, 583, 7707, 248, 4960, 8490, 5244, 668, 7150, 8204, 9196, 4476, 161, 6160, 8050, 6007, 9703, 8477, 6966, 524, 8867, 1467, 8105, 658, 4499, 554, 4884, 5524, 4192, 5510, 1804, 1673, 6508, 4669, 4182, 9362, 8233, 8363, 2870, 8072, 3947, 1255, 3470, 3150, 3398, 3610, 7789, 1689, 705, 3318, 9507, 8748, 485, 6782, 9929, 2182, 8085, 2642, 1033, 7830, 8949, 6573, 8852, 8792, 7613, 1913, 2844, 3824, 8963, 2807, 307, 2892, 5421, 4828, 1019, 2934, 6483, 9215, 2010, 7201, 8495, 5916, 7438, 6628, 7272, 9207, 1956, 1188, 8688, 8308, 7414, 2550, 7450, 2130, 3943, 4587, 6064, 363, 1465, 7328, 7892, 8534, 3321, 8063, 2001, 2124, 9066, 4586, 5527, 896, 2453, 9374, 7277, 7759, 7756, 43, 9656, 1030, 902, 5890, 2354, 7948, 1423, 6885, 3414, 8409, 3138, 1782, 7127, 1533, 5328, 4039, 825, 3402, 2264, 2270, 8261, 3686, 8192, 7874, 6647, 6079, 8877, 660, 7251, 512, 7540, 4456, 7284, 1207, 7404, 4187, 7777, 2503, 7289, 8561, 2864, 2259, 5796, 587, 3247, 8707, 9072, 5850, 9194, 5355, 8787, 8026, 2893, 3523, 4333, 6630, 4567, 8256, 69, 8184, 7164, 8646, 1199, 7488, 3862, 693, 4575, 9724, 8211, 8159, 7863, 6772, 7974, 2429, 7791, 5754, 1100, 2407, 8844, 5426, 4376, 9139, 3128, 2730, 487, 8059, 2556, 2263, 5959, 6684, 1323, 3158, 5027, 1223, 1581, 6847, 7080, 6639, 4634, 8320, 8145, 5085, 3948, 9738, 6341, 7583, 7424, 2248, 8573, 7846, 6758, 9029, 222, 6082, 9977, 2027, 7200, 2942, 9172, 7799, 2360, 4950, 591, 515, 5120, 4327, 6459, 6275, 2381, 3698, 4010, 1930, 441, 5706, 1334, 8393, 1558, 8734, 8524, 4913, 6779, 304, 9686, 4205, 9078, 7307, 3819, 1674, 3023, 8179, 52, 6641, 9279, 3156, 6279, 6701, 2167, 349, 8590, 9044, 2885, 9708, 6988, 6998, 5473, 1016, 3575, 7069, 594, 1768, 3026, 3050, 7269, 7881, 9679, 6944, 2682, 9413, 5667, 2664, 8554, 6362, 579, 63, 4784, 1098, 9588, 3792, 1812, 6440, 2166, 678, 3059, 3921, 962, 6476, 8613, 8597, 9518, 5000, 3570, 483, 511, 7109, 8545, 2919, 5953, 3319, 4316, 2372, 7750, 3800, 8165, 3841, 9949, 4284, 9959, 6030, 6428, 784, 2066, 7339, 3636, 6514, 7793, 2715, 526, 2083, 7665, 8903, 6066, 9003, 2737, 2651, 5741, 3313, 6437, 7527, 3728, 3323, 9333, 6517, 2808, 3241, 1642, 8567, 8598, 7234, 6190, 3598, 183, 556, 6520, 9560, 829, 5267, 9188, 6374, 7624, 8304, 4433, 3344, 7824, 8779, 9030, 8398, 8617, 7990, 2778, 4630, 7811, 9272, 2507, 1426, 5762, 2868, 7599, 2887, 1780, 1649, 7040, 5266, 439, 4033, 7180, 5654, 6104, 7043, 9034, 7214, 3673, 3281, 873, 9162, 8275, 761, 1148, 8742, 9808, 6195, 2498, 2291, 2493, 7162, 6286, 5312, 4280, 5949, 7282, 4101, 9458, 6240, 4080, 2149, 6650, 1654, 4027, 1711, 612, 874, 2815, 3746, 7143, 6334, 4618, 4064, 382, 3868, 3644, 6308, 5408, 7688, 3296, 1316, 571, 2275, 6170, 6445, 8825, 4073, 2741, 7467, 5259, 7122, 6987, 1115, 2412, 2046, 220, 28, 4088, 947, 2524, 2008, 6742, 4063, 4072, 9163, 6165, 3763, 2825, 8642, 5689, 8793, 5544, 7606, 5037, 4347, 7690, 6312, 1268, 759, 8461, 4934, 5318, 6238, 2193, 5606, 7419, 9443, 6159, 5494, 8127, 1400, 4986, 9751, 1675, 134, 9744, 6949, 683, 7165, 2119, 9726, 6925, 7849, 2104, 3708, 9298, 6204, 1928, 3608, 3118, 9113, 3002, 9064, 8943, 863, 975, 8658, 8430, 3308, 6521, 491, 9259, 2975, 662, 92, 7193, 9665, 3031, 469, 1264, 9375, 215, 2728, 8635, 8494, 2169, 7548, 8788, 8916, 2699, 1172, 769, 8030, 9130, 7038, 20, 9291, 88, 637, 3640, 4714, 2102, 4047, 9190, 7703, 6388, 210, 2646, 1693, 6506, 8123, 8076, 9696, 7227, 8296, 8845, 7123, 8872, 7563, 9956, 508, 8084, 8019, 2772, 2958, 8162, 1494, 6977, 1110, 1706, 9416, 9349, 7412, 9803, 7642, 3190, 2141, 6062, 540, 6935, 6958, 8333, 8895, 5029, 7368, 4019, 3185, 4338, 9042, 7297, 2648, 8716, 5944, 6920, 2040, 2098, 19, 7798, 4412, 4025, 5193, 568, 7194, 6860, 5517, 3593, 5640, 5596, 986, 170, 3645, 6760, 8292, 7668, 8394, 8128, 572, 8016, 4243, 7507, 7059, 5180, 8075, 479, 5647, 2849, 8839, 7482, 1801, 780, 5074, 7629, 7114, 1593, 2950, 8842, 6790, 8188, 102, 8954, 8868, 7862, 3018, 6792, 6693, 992, 2461, 7306, 520, 5749, 627, 1226, 7653, 6110, 2909, 4429, 7528, 8657, 6200, 9023, 2321, 5217, 9932, 2724, 9313, 6850, 94, 8194, 7111, 4793, 2609, 3014, 9967, 6613, 8601, 3743, 4888, 367, 747, 4352, 4479, 3683, 2452, 2877, 466, 7473, 8637, 5176, 6644, 1015, 2483, 7485, 1031, 3003, 655, 6256, 7248, 9506, 7626, 5012, 4361, 552, 4006, 6343, 4405, 1595, 2409, 268, 13, 7746, 7207, 1534, 95, 3919, 686, 4952, 5500, 5100, 1965, 2212, 7222, 1251, 9805, 6690, 9161, 5768, 9043, 6250, 9009, 137, 440, 7422, 2795, 6625, 3089, 4139, 2917, 7867, 5910, 2077, 5548, 530, 4802, 9024, 7061, 9522, 6768, 9720, 1645, 2262, 6953, 8698, 6129, 4930, 5009, 4089, 5569, 6405, 3093, 7550, 7387, 2187, 8007, 1491, 630, 2853, 4712, 190, 7030, 9498, 8761, 3946, 3316, 6883, 5204, 7882, 881, 2420, 620, 7542, 9877, 2677, 6209, 3831, 5970, 3896, 8686, 1564, 8154, 6331, 4777, 4366, 372, 7631, 426, 4055, 9968, 1530, 7292, 9866, 9549, 4040, 7711, 1272, 8323, 3476, 5961, 260, 7381, 277, 3877, 8156, 4981, 938, 4108, 649, 6230, 7944, 7975, 9926, 6501, 9083, 8979, 8764, 3508, 9688, 1189, 1130, 1427, 9930, 7020, 9204, 9045, 6470, 5432, 4060, 8155, 1112, 7484, 4093, 4421, 7596, 9455, 1632, 5063, 4235, 8037, 5507, 114, 3221, 5039, 6595, 8563, 7628, 6303, 504, 261, 4487, 9430, 8626, 4563, 7695, 746, 7551, 2953, 5417, 8041, 3702, 9820, 503, 5677, 340, 6897, 8040, 719, 8559, 9469, 4970, 3181, 6455, 6268, 8101, 6619, 4601, 7252, 6169, 8489, 4844, 672, 5262, 3094, 3971, 3619, 2576, 8923, 9429, 671, 9122, 4713, 2473, 5619, 1698, 8966, 8692, 4244, 6294, 4166, 3073, 7452, 5716, 7835, 2235, 7577, 4807, 4354, 4921, 2256, 2350, 4653, 1664, 8631, 165, 6528, 6391, 8141, 9316, 1308, 1927, 3282, 4605, 4263, 4920, 691, 9894, 3958, 6602, 7825, 1761, 8875, 7036, 6306, 1797, 7723, 2538, 4406, 970, 8993, 7202, 3420, 3580, 8173, 1967, 9099, 1129, 8589, 2432, 344, 4070, 484, 5756, 5189, 7721, 5168, 9437, 3467, 5188, 4451, 334, 9767, 8033, 188, 7941, 9377, 6021, 8930, 1548, 9211, 739, 5675, 6663, 4560, 4798, 3100, 6484, 8226, 1160, 3039, 6940, 6969, 9073, 9818, 6385, 9629, 3458, 8860, 6379, 2457, 8556, 2884, 7547, 4283, 7673, 7943, 1210, 4498, 8655, 8374, 9625, 5235, 2410, 6004, 9007, 2626, 7391, 3157, 10, 4348, 7316, 2969, 8607, 6049, 3634, 9792, 2417, 1688, 4538, 2194, 3677, 8809, 2255, 1705, 1685, 9807, 5844, 4693, 9888, 7370, 7173, 5883, 7121, 2860, 8959, 1383, 9127, 5255, 2396, 5400, 8168, 3784, 1401, 7741, 2002, 5055, 1960, 4081, 6327, 7218, 7053, 3383, 8334, 7312, 544, 9048, 8513, 9651, 1414, 7652, 736, 9714, 228, 3856, 3745, 9060, 5907, 7754, 9508, 9955, 9184, 1089, 3492, 6803, 3140, 1304, 6550, 409, 8044, 2696, 9566, 5104, 6706, 7506, 7142, 4969, 8853, 2527, 9351, 5484, 500, 6947, 7348, 4968, 6167, 7418, 45, 8220, 4801, 3691, 6221, 6511, 4467, 9230, 8890, 4269, 4526, 9265, 6283, 6449, 5441, 109, 4686, 2528, 4717, 8766, 7147, 1562, 6012, 7560, 8831, 9779, 9268, 9227, 7130, 4494, 8618, 1894, 289, 598, 8532, 7209, 7015, 8444, 3926, 12, 8818, 6034, 2474, 762, 1240, 6863, 5389, 584, 7097, 5538, 5433, 5745, 6580, 8625, 8053, 3589, 8338, 3721, 4485, 3709, 6651, 8659, 436, 8777, 8758, 1661, 8747, 5501, 4056, 8471, 1914, 2998, 8899, 877, 8381, 9978, 5682, 31, 9067, 8703, 9850, 6832, 2770, 6376, 6705, 722, 9262, 9757, 5566, 2769, 906, 3210, 1022, 9087, 7586, 7211, 4413, 6023, 6067, 4002, 7900, 1714, 4493, 5115, 6046, 3374, 5736, 1373, 2491, 6041, 2456, 3098, 1684, 9366, 1507, 7891, 5025, 7928, 8260, 8996, 5809, 8630, 601, 8697, 2931, 7205, 2501, 144, 6536, 214, 1552, 5540, 1242, 4674, 4939, 6997, 3302, 1838, 2571, 6210, 8472, 3438, 8288, 2876, 9563, 6377, 5591, 8595, 2330, 4907, 5415, 6704, 9915, 4400, 3474, 7839, 8765, 9743, 9488, 1032, 6978, 6497, 7998, 6314, 9904, 3016, 4875, 4818, 7480, 9332, 6900, 8318, 7071, 5697, 4104, 8728, 7359, 7783, 9307, 5157, 8420, 2390, 8527, 8491, 7616, 8732, 2572, 1370, 7031, 4395, 3628, 4201, 2582, 3133, 7805, 5227, 7009, 8862, 921, 9134, 7095, 9906, 8387, 6035, 113, 1899, 455, 314, 6285, 9758, 9750, 7618, 8834, 9982, 4726, 9671, 4319, 7120, 6835, 6610, 4204, 4315, 1208, 4667, 8840, 56, 8580, 9741, 3336, 7632, 7842, 7763, 9250, 5656, 3949, 9494, 9320, 3220, 4760, 8560, 6139, 653, 4434, 7333, 7457, 5937, 6864, 3795, 9836, 8810, 8074, 4394, 8099, 6532, 6829, 9091, 2363, 8869, 5936, 9392, 2431, 4259, 9055, 6265, 7208, 3538, 9802, 8878, 1103, 7814, 8475, 4841, 6678, 3493, 4823, 9947, 326, 8136, 6591, 9540, 7341, 5003, 9971, 5990, 3932, 976, 6229, 6435, 6247, 7416, 7033, 7717, 728, 9353, 818, 7676, 5805, 6844, 8712, 917, 4746, 5617, 574, 9948, 1362, 8212, 9404, 9025, 4102, 265, 207, 6744, 3259, 7865, 8649, 872, 7102, 4202, 1204, 7317, 1759, 6074, 2941, 5609, 3404, 9853, 9819, 8937, 4034, 422, 374, 1640, 3978, 6194, 1025, 3974, 957, 1715, 757, 9445, 7829, 6420, 1754, 3164, 8364, 6658, 555, 8624, 4664, 3711, 8386, 4357, 7183, 8525, 238, 9546, 9132, 2743, 6115, 7913, 7279, 4203, 9702, 2150, 403, 9713, 6364, 7619, 17, 5219, 4645, 4470, 446, 4776, 1858, 2260, 9509, 5299, 718, 106, 9796, 1512, 9166, 8972, 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3123, 3929, 6202, 5483, 6794, 5043, 5804, 1964, 3815, 3047, 7085, 4519, 5516, 6356, 3822, 731, 8271, 2964, 5924, 8249, 2403, 6242, 2324, 8450, 7304, 7787, 2946, 4802, 3111, 4778, 4207, 2852, 4517, 767, 2914, 3797, 4176, 1307, 2089, 1705, 5711, 5926, 6008, 8330, 5268, 1288, 3916, 4551, 4762, 2732, 6223, 8008, 3214, 5431, 1379, 3238, 8998, 8478, 5141, 5539, 3749, 1136, 4177, 5295, 3332, 1347, 1810, 2757, 3759, 7193, 1354, 2890, 979, 1748, 8157, 7755, 878, 9038, 1138, 6005, 5744, 5153, 9141, 110, 1975, 5351, 5171, 7000, 2980, 4268, 1069, 1701, 7645, 2253, 4472, 3500, 4270, 1472, 7130, 6083, 8852, 4590, 6882, 3975, 3775, 4798, 1669, 7978, 6821, 8021, 2896, 901, 6233, 2696, 5288, 6983, 955, 7823, 4141, 4701, 5036, 5047, 3507, 3891, 1394, 4082, 7088, 1163, 4191, 8800, 1948, 2847, 6592, 6733, 1906, 4541, 1160, 5250, 1558, 2414, 1434, 1944, 3349, 5833, 7866, 5811, 937, 3373, 4993, 2643, 4917, 8108, 6057, 6305, 3714, 1556, 6788, 3721, 4461, 4902, 2317, 6090, 2645, 2517, 2216, 3032, 4281, 5021, 4426, 6675, 3007, 6986, 9109, 8588, 5228, 6599, 5935, 1785, 7481, 3408, 8089, 8263, 8876, 431, 1266, 4407, 4491, 3863, 6028, 5150, 6909, 5469, 5167, 3581, 4403, 4147, 2041, 161, 4663, 6101, 6649, 300, 6479, 7712, 5920, 5908, 8523, 3974, 2683, 2629, 1905, 1325, 6277, 5670, 5679, 5455, 5409, 6053, 7102, 2912, 2688, 4906, 3229, 4463, 1429, 4675, 4959, 9222, 7340, 2850, 2774, 2985, 9081, 6114, 4252, 7853, 5341, 7501, 6887, 7942, 4766, 3874, 4785, 6786, 1958, 4243, 7144, 1315, 2326, 5724, 5943, 3704, 3245, 1887, 3892, 3116, 2659, 2170, 5801, 1473, 2144, 5297, 708, 6531, 3439, 4841, 1428, 2919, 3732, 1512, 3390, 6444, 3875, 143, 4593, 4799, 6601, 4022, 6876, 6112, 2242, 1122, 5962, 368, 3541, 6666, 7994, 1527, 5464, 1287, 842, 6436, 7240, 3545, 5033, 5885, 4995, 4922, 2093, 8601, 4837, 2938, 8088, 7001, 2146, 628, 5807, 6458, 8652, 3997, 2855, 1171, 6914, 2494, 922, 4718, 1176, 2760, 8091, 5921, 5345, 6669, 3525, 4648, 7938, 8468, 5680, 5907, 3590, 991, 4265, 1676, 642, 5763, 1863, 8065, 6284, 8840, 3542, 1878, 3720, 4167, 1363, 8930, 2739, 5631, 1260, 2354, 6026, 7264, 2943, 337, 3781, 4215, 5700, 3142, 6146, 3869, 5265, 4565, 4482, 1317, 4168, 401, 6033, 4582, 7204, 1474, 5378, 514, 9157, 6035, 2658, 4926, 3805, 6027, 5408, 2458, 2676, 4965, 2474, 5542, 4557, 5394, 6694, 1726, 2289, 3879, 1603, 2578, 5325, 2355, 6553, 2243, 5398, 2751, 5350, 3423, 4897, 3778, 1686, 3013, 5089, 4830, 5289, 3097, 6734, 5284, 2348, 974, 7989, 3803, 4800, 2597, 4474, 5416, 1823, 4032, 4821, 2244, 3753, 6711, 3429, 7639, 3314, 3898, 6727, 2984, 5151, 5900, 7366, 6258, 6750, 5037, 4666, 569, 7607, 6232, 6897, 703, 6519, 4715, 5003, 5259, 5710, 2655, 2269, 8331, 7886, 6203, 4278, 1805, 1042, 5731, 8200, 4885, 2151, 2249, 5645, 4349, 942, 8996, 1952, 684, 2531, 7158, 6746, 1935, 5685, 1374, 4734, 5966, 1450, 6555, 7432, 5062, 8510, 2492, 2120, 4797, 3706, 8072, 8375, 6855, 2313, 2692, 5190, 5117, 4294, 2999, 2750, 3880, 7907, 3195, 2686, 6877, 4814, 5996, 4722, 9390, 4197, 7253, 2622, 4235, 3226, 5806, 4501, 1447, 4385, 7732, 3848, 4936, 1888, 1924, 1503, 7329, 5140, 2794, 5197, 4455, 5210, 9143, 4489, 4697, 7124, 1462, 950, 5799, 3629, 4164, 8567, 5582, 2046, 5275, 5122, 3017, 6934, 3664, 182, 1638, 7118, 5287, 5772, 7898, 4547, 4804, 7141, 6723, 1093, 2748, 367, 3101, 1982, 788, 6514, 2241, 7545, 5564, 1983, 6659, 3785, 6582, 2729, 3496, 954, 8347, 1575, 4884, 4031, 537, 7556, 6056, 2618, 3327, 3112, 3639, 1840, 1722, 2469, 6413, 9755, 590, 1965, 692, 861, 3376, 1861, 5570, 7562, 8130, 3197, 6036, 1335, 3501, 374, 704, 1877, 6077, 3825, 9437, 6212, 7833, 4137, 2225, 4399, 1054, 1659, 5567, 9039, 7769, 4227, 4192, 7499, 8883, 5055, 6964, 5329, 1687, 4330, 2051, 5434, 2773, 318, 2906, 492, 4586, 6167, 1864, 2266, 3009, 5694, 1156, 8675, 1851, 466, 2718, 6097, 7098, 3873, 5803, 1282, 7035, 3266, 4109, 3933, 5552, 4571, 6703, 2813, 3154, 5458, 4520, 5333, 4909, 5918, 1989, 5038, 5608, 5583, 1890, 7004, 4945, 8286, 3963, 1327, 3687, 415, 2327, 5541, 1302, 5823, 7518, 3528, 8638, 1606, 910, 1183, 5192, 5093, 5732, 3907, 3998, 4279, 1972, 5499, 5175, 1830, 7417, 644, 4905, 4790, 2128, 7486, 5761, 2730, 9215, 5814, 2374, 5035, 4358, 3262, 5231, 1360, 7590, 5015, 2016, 5032, 3591, 3076, 1339, 3165, 5056, 3413, 2427, 6576, 5509, 1415, 2745, 5518, 4010, 3386, 3779, 5357, 1678, 2050, 6970, 1653, 3965, 6942, 6512, 6376, 6406, 4003, 1647, 3202, 3230, 1521, 3095, 2299, 3207, 3212, 5562, 2232, 6858, 962, 634, 7048, 8748, 6946, 7502, 5568, 8506, 5477, 4154, 249, 4073, 1666, 1763, 669, 1153, 7587, 3592, 3719, 1086, 209, 6007, 3807, 2254, 3647, 6728, 8970, 2376, 4589, 2853, 5321, 4253, 6125, 7738, 3956, 2111, 6344, 7375, 3037, 4915, 3865, 3235, 5020, 4637, 1504, 6118, 5939, 4563, 1305, 1338, 2731, 8248, 3862, 4117, 8227, 2467, 3802, 5186, 1214, 3346, 5492, 1475, 8208, 4293, 5159, 3369, 931, 6351, 5927, 7751, 3387, 4521, 7462, 1155, 6330, 4271, 4643, 7174, 8389, 4323, 7297, 4862, 2522, 8776, 4573, 5435, 3034, 7579, 3835, 1961, 5677, 5615, 6615, 8139, 6795, 2371, 1732, 2231, 8216, 7474, 6597, 3540, 5849, 1699, 4372, 5886, 944, 1588, 3485, 7983, 4188, 4095, 4389, 2879, 1667, 2564, 3451, 8061, 7936, 4825, 1376, 6540, 2611, 5109, 4709, 2656, 6468, 776, 6141, 1141, 1891, 1753, 2296, 1616, 1559, 3970, 2631, 4894, 1238, 5534, 932, 4879, 5696, 6207, 1060, 1858, 1352, 1321, 1137, 4942, 6731, 7056, 4432, 3049, 3456, 8352, 893, 5233, 9199, 3004, 7650, 1635, 6653, 8223, 4457, 5712, 6236, 3497, 8661, 6621, 7052, 3310, 2619, 1744, 5947, 599, 2042, 1824, 9568, 6107, 8189, 1825, 3941, 4943, 4730, 6765, 6693, 8270, 1017, 9565, 1055, 3094, 5954, 1090, 3260, 2280, 5006, 7716, 1096, 5977, 8991, 4659, 8129, 3910, 9050, 3012, 816, 6426, 5919, 6496, 5119, 1716, 6825, 4422, 7786, 5420, 9169, 3389, 844, 5903, 1665, 1167, 2951, 328, 4114, 7780, 5199, 3241, 7439, 2415, 5958, 7170, 1950, 6438, 6390, 2257, 1224, 3264, 3748, 867, 7421, 3587, 3605, 1391, 5488, 779, 5411, 7813, 7434, 3010, 7514, 4651, 3237, 2147, 5170, 5978, 4086, 1740, 3595, 3890, 2805, 1318, 6025, 843, 6824, 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5783, 2290, 4925, 1682, 5923, 5314, 2893, 4979, 2446, 4497, 9186, 5887, 8704, 8412, 6776, 9080, 5925, 2240, 5216, 2096, 7236, 5730, 8782, 4133, 2521, 3050, 6845, 3216, 4005, 882, 1555, 3305, 2224, 2462, 5030, 6166, 9599, 2196, 3508, 6718, 5107, 5447, 6822, 8555, 4062, 3682, 1057, 6131, 1918, 4808, 3894, 3821, 4507, 4819, 1468, 4657, 8115, 1409, 5929, 4662, 501, 8836, 7077, 9136, 3194, 626, 2598, 2213, 4464, 7406, 2490, 5890, 4652, 4975, 6220, 4029, 5282, 1469, 9173, 1182, 2646, 5016, 4020, 1959, 6691, 1092, 4311, 820, 3121, 4543, 1909, 3092, 8480, 524, 6635, 2212, 2581, 1037, 3110, 2772, 8143, 4046, 6024, 3299, 299, 5565, 3752, 1095, 1495, 2726, 5267, 4157, 6839, 4356, 5623, 1237, 1550, 4045, 6499, 4277, 6951, 5653, 5986, 5995, 4499, 4398, 2338, 964, 8997, 7479, 125, 256, 5853, 5290, 2691, 3739, 2152, 2986, 5242, 833, 1240, 4836, 45, 4940, 8418, 6288, 6547, 6448, 3122, 3277, 3428, 1249, 2070, 1196, 282, 3562, 1198, 5452, 5800, 1481, 3053, 2434, 660, 7580, 5463, 7926, 3675, 6578, 2461, 2012, 985, 6445, 1541, 4030, 5166, 6804, 1024, 3986, 3471, 5179, 5200, 4851, 9125, 4616, 1114, 2236, 3415, 1026, 3700, 3459, 551, 1157, 6736, 5054, 5786, 6215, 5478, 9079, 1700, 3019, 472, 1696, 2470, 1464, 4608, 6801, 885, 2175, 3522, 2516, 7065, 898, 5405, 5784, 4074, 1355, 4224, 2710, 9218, 8083, 2827, 5963, 5846, 63, 4992, 7790, 9099, 8706, 8332, 5132, 7201, 4577, 7909, 539, 8152, 6535, 6551, 3104, 2273, 4846, 1033, 738, 7445, 6085, 2153, 5638, 6770, 1221, 1085, 4111, 6643, 7440, 211, 7310, 8109, 4611, 2395, 5440, 1590, 1520, 1518, 4287, 1281, 8015, 2384, 3187, 2601, 7360, 777, 133, 958, 1529, 4673, 258, 2573, 8796, 8236, 8312, 521, 5019, 1180, 4313, 3218, 5223, 2818, 1759, 3159, 2342, 2301, 2248, 4901, 6796, 7189, 2542, 3578, 2083, 3206, 8230, 1727, 5752, 3300, 3927, 1943, 2886, 2060, 8103, 2069, 1856, 3093, 3767, 5870, 5436, 1724, 7511, 1062, 298, 4680, 4443, 3896, 522, 5576, 7982, 4063, 7279, 8300, 1932, 4344, 6994, 8615, 2002, 2187, 3955, 4165, 3054, 8581, 2925, 1562, 5555, 1385, 5011, 5913, 3137, 3031, 4665, 5556, 1962, 6671, 6645, 2343, 3506, 2020, 4676, 5269, 507, 7046, 2803, 4777, 2570, 1029, 3431, 3072, 4667, 1634, 8018, 2740, 7246, 5468, 6478, 7367, 4646, 8242, 5704, 3772, 7726, 5805, 5068, 3519, 5614, 6799, 3911, 2033, 7247, 2955, 3900, 850, 6627, 8833, 2454, 6184, 6726, 771, 1802, 2621, 5743, 7311, 6706, 3872, 2277, 5875, 100, 5459, 2294, 5165, 5683, 8750, 6686, 3132, 5968, 6307, 689, 6764, 8957, 1061, 75, 2551, 164, 6386, 682, 1312, 606, 1803, 4057, 2608, 208, 3005, 5046, 6481, 534, 5257, 4011, 5135, 7104, 6660, 7520, 2189, 5951, 6561, 9068, 260, 5922, 6226, 5139, 899, 1893, 6313, 2448, 3663, 5994, 2028, 4144, 3443, 2652, 1075, 4604, 768, 3460, 2263, 25, 9115, 2471, 2455, 6040, 8133, 5322, 3942, 4650, 2364, 6569, 7293, 5432, 4334, 4354, 9058, 8348, 6826, 535, 7618, 309, 76, 8017, 732, 1079, 2351, 1980, 3912, 7767, 7847, 7347, 4071, 3126, 6089, 5363, 1736, 1783, 6462, 3773, 8496, 5899, 706, 995, 2508, 6617, 3812, 5584, 1605, 8098, 5662, 5102, 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3887, 6038, 3427, 8361, 4393, 1213, 4183, 707, 8251, 3119, 4504, 3343, 977, 8002, 5060, 4887, 6614, 1118, 8057, 61, 1276, 5504, 3855, 9159, 5446, 1977, 6851, 2123, 8757, 740, 3648, 8162, 1279, 324, 1265, 8326, 5317, 5131, 6361, 1204, 3307, 6608, 3173, 8665, 8914, 8446, 3301, 6375, 4703, 6823, 3120, 5118, 2693, 3567, 1871, 4216, 1212, 3411, 7477, 9153, 2960, 7448, 1259, 3130, 4842, 1960, 7592, 7101, 912, 3947, 6157, 2106, 6037, 6216, 2780, 8729, 3258, 5822, 3671, 4874, 5840, 6084, 5717, 887, 5334, 7058, 3041, 4998, 2314, 6017, 2306, 394, 3078, 6880, 3670, 7680, 6890, 5560, 6430, 385, 5642, 2134, 3909, 6893, 5708, 1306, 191, 6784, 3689, 6781, 3573, 7743, 156, 8489, 1963, 8820, 3882, 8907, 679, 1774, 4255, 7428, 5522, 6517, 3923, 9114, 999, 6539, 951, 6654, 6227, 3361, 8084, 7134, 4661, 6579, 567, 5701, 5364, 7667, 163, 4364, 7714, 8104, 3692, 8813, 1498, 724, 3486, 3741, 4212, 1359, 1439, 7962, 9781, 3913, 4075, 2921, 4359, 8896, 8783, 1797, 1440, 4515, 5967, 883, 8391, 1886, 5023, 4892, 6199, 6819, 5755, 6715, 5044, 9508, 4581, 5377, 4363, 4034, 1702, 2125, 2592, 2262, 838, 6867, 268, 1655, 1458, 2734, 2647, 7544, 6797, 7799, 7324, 1584, 8635, 6323, 1585, 6409, 49, 6495, 1251, 8619, 3257, 2110, 3626, 4788, 8322, 5366, 4687, 4855, 1106, 2408, 8999, 4239, 7731, 134, 7186, 7228, 855, 4831, 3571, 2968, 4702, 1252, 4794, 4439, 2971, 6677, 1719, 4066, 60, 5813, 1181, 3261, 7838, 4267, 2256, 3280, 8710, 8484, 5779, 6793, 1703, 382, 8730, 5495, 3840, 1596, 8264, 4869, 990, 8920, 2092, 3607, 5602, 871, 8438, 3048, 2861, 6013, 6831, 8768, 5589, 2300, 8244, 3659, 2347, 858, 6219, 7626, 8637, 3991, 8281, 6566, 5353, 4649, 8737, 6031, 6945, 6828, 1900, 8772, 2207, 6805, 7403, 195, 3790, 2200, 2174, 7487, 293, 7578, 7703, 6506, 1201, 715, 3696, 1542, 6866, 7100, 4548, 4125, 8096, 9179, 6816, 3826, 3617, 3857, 7012, 2282, 7636, 939, 2333, 3272, 124, 8497, 3290, 4599, 1868, 5506, 5126, 1083, 8865, 8640, 456, 6573, 5628, 4570, 5932, 4411, 70, 7346, 742, 1334, 4427, 1594, 1762, 7010, 7390, 4431, 6336, 6485, 4340, 2259, 3144, 909, 760, 359, 3462, 4621, 848, 8198, 5184, 5095, 2372, 2203, 7985, 2820, 7067, 2920, 5067, 6542, 3606, 9011, 559, 7537, 5660, 8114, 4209, 3338, 5042, 2590, 8824, 2714, 6195, 3962, 2735, 8224, 2810, 3091, 2785, 6935, 5254, 7906, 7670, 3643, 5114, 8171, 2679, 5222, 3025, 4755, 6926, 3068, 2185, 6650, 6720, 6450, 1984, 6754, 3243, 5365, 5070, 1109, 1981, 7294, 6172, 2819, 5971, 352, 7897, 6186, 7661, 3444, 9004, 5698, 3405, 66, 7533, 8079, 4787, 80, 7330, 8866, 2703, 7599, 131, 7154, 4303, 8368, 6208, 1367, 1497, 6460, 5098, 4623, 311, 5384, 9411, 3406, 8486, 8846, 2675, 6570, 246, 1371, 1619, 1794, 3422, 206, 2991, 1435, 6818, 7664, 3283, 1009, 5079, 1072, 5821, 549, 1277, 5439, 3966, 7334, 6812, 2192, 7655, 1540, 5933, 1986, 735, 5547, 812, 6400, 6953, 7513, 2094, 6862, 8220, 7282, 1420, 4749, 1203, 7338, 6292, 6418, 3420, 2798, 5838, 8090, 3085, 1120, 801, 8856, 8268, 6405, 7752, 2158, 3859, 1777, 4296, 267, 6246, 2140, 2929, 5203, 4843, 8196, 1390, 1043, 8583, 8062, 3517, 3520, 5143, 2118, 3762, 4402, 3596, 1456, 1769, 2391, 1034, 6433, 3176, 4126, 5323, 8609, 2907, 342, 1813, 3200, 4438, 5790, 370, 4124, 6500, 476, 4672, 7935, 4594, 5402, 5774, 9335, 6237, 5343, 5894, 7623, 3482, 5940, 408, 8365, 4250, 819, 1175, 7476, 8566, 8266, 3105, 3135, 7437, 8540, 4816, 1771, 5034, 5108, 5869, 2331, 5832, 7964, 1592, 2090, 3213, 7423, 2045, 7524, 8602, 8915, 265, 3503, 7864, 2846, 6267, 6147, 737, 5142, 7494, 1077, 5861, 8674, 9154, 4566, 972, 543, 6593, 7563, 6735, 4416, 2177, 1015, 2464, 2540, 5097, 9037, 5633, 1604, 2963, 5646, 1235, 3044, 410, 223, 65, 1940, 1729, 3209, 8803, 1842, 9057, 5505, 5826, 3951, 3995, 3347, 9171, 1432, 578, 2398, 414, 388, 841, 5693, 3027, 4320, 8864, 6451, 8754, 3776, 717, 8911, 1741, 5379, 3483, 4105, 1292, 9785, 2903, 6009, 5419, 5607, 8611, 2283, 2624, 9021, 8346, 8131, 5934, 8407, 7634, 1336, 5154, 4110, 3711, 1470, 8504, 3861, 6315, 880, 7564, 7341, 553, 3944, 6698, 7669, 7845, 2411, 6662, 2114, 8025, 7455, 4736, 1547, 3143, 7694, 1583, 6808, 7072, 5715, 3903, 4949, 2379, 7984, 7376, 8231, 8572, 4733, 389, 2614, 4149, 1372, 2139, 2043, 4247, 1609, 8554, 4444, 6875, 3141, 4230, 2297, 6716, 5457, 1078, 5279, 4602, 1150, 174, 2435, 5083, 7778, 6697, 4480, 5793, 2337, 8762, 1245, 3792, 20, 736, 8284, 8903, 5652, 3362, 6052, 4721, 1765, 6971, 1227, 7026, 6377, 36, 3351, 4981, 4026, 6689, 8819, 6980, 8174, 3330, 1398, 8781, 6655, 4304, 4064, 7630, 1801, 252, 7872, 2728, 908, 5211, 9877, 4827, 7600, 4689, 8475, 7342, 237, 729, 8343, 2270, 8432, 8694, 4251, 2670, 2544, 652, 4878, 373, 6032, 9144, 2836, 6616, 835, 545, 5559, 7319, 4429, 5756, 82, 3801, 1866, 7941, 1378, 5087, 6999, 3188, 7151, 7986, 973, 7394, 1969, 4211, 8899, 5057, 2537, 1807, 3052, 3908, 839, 1728, 6153, 1539, 1243, 1134, 7868, 3893, 1579, 8035, 7573, 7596, 2304, 4346, 7468, 5664, 3744, 7633, 618, 1618, 2510, 8051, 6929, 6076, 2137, 5546, 6743, 7166, 7389, 9076, 2500, 8333, 1311, 9362, 4759, 7365, 3642, 4509, 5748, 7386, 4735, 8520, 1870, 8882, 7239, 4326, 6523, 8146, 822, 7882, 217, 525, 641, 3843, 1850, 4004, 7720, 1967, 2223, 3335, 6950, 2373, 4683, 2264, 9084, 8222, 2806, 2430, 8181, 1815, 1482, 6063, 6629, 83, 6688, 1516, 5930, 7283, 7949, 4990, 5859, 5026, 4562, 4914, 3396, 4254, 6956, 1232, 8288, 4558, 7307, 846, 7382, 1502, 961, 6149, 8702, 9316, 6241, 6231, 7198, 3521, 5441, 8247, 457, 7931, 8739, 774, 4181, 5753, 4428, 5969, 1209, 5716, 320, 6185, 2928, 5376, 2136, 3087, 9170, 5852, 1047, 7351, 7322, 2802, 1620, 6124, 5812, 7761, 1509, 2841, 8075, 8448, 2878, 1477, 834, 7966, 3024, 693, 1356, 7828, 1386, 5014, 292, 2567, 1275, 3312, 7740, 6672, 115, 3494, 7043, 22, 3725, 914, 7735, 5893, 5651, 3114, 5775, 5595, 6139, 8167, 6984, 5348, 3697, 7320, 5734, 7565, 7796, 4870, 4068, 5836, 5515, 6526, 3621, 7488, 6429, 5316, 6558, 2583, 1976, 2079, 7976, 8195, 1010, 5489, 1602, 772, 3381, 6178, 3499, 7461, 8388, 997, 0, 1526, 7380, 7344, 5451, 5526, 824, 9012, 5144, 7436, 8942, 1599, 5632, 7125, 9214, 6853, 2440, 4834, 4625, 2575, 3098, 4179, 5767, 4835, 7413, 2781, 8055, 7571, 9129, 4119, 3268, 7902, 7350, 7734, 1357, 5088, 8151, 4695, 4098, 1053, 3478, 3502, 6382, 3734, 1522, 9010, 6874, 9094, 5356, 9625, 6936, 4737, 470, 5634, 4080, 4170, 4744, 5857, 5851, 3655, 4753, 3618, 5178, 1995, 3981, 3306, 1419, 5791, 2459, 6474, 4512, 7119, 6132, 3461, 490, 5884, 1190, 4592, 2230, 5270, 8466, 221, 15, 7458, 5719, 3384, 714, 4720, 169, 6248, 4410, 826, 3831, 7777, 8340, 3763, 802, 3000, 2071, 6006, 460, 2978, 5984, 7070, 8699, 9112, 832, 8118, 2775, 8897, 9100, 8462, 9200, 5072, 8825, 4948, 4725, 396, 5371, 4289, 1954, 604, 6016, 333, 6193, 6668, 8982, 6170, 8127, 444, 4530, 9443, 1490, 934, 6955, 5983, 7568, 3836, 8254, 3163, 2406, 4213, 7841, 2066, 5671, 5999, 1328, 289, 3045, 8341, 7718, 3030, 6469, 3199, 3495, 7096, 5835, 3514, 7335, 6634, 6676, 4377, 5948, 5403, 3897, 5391, 1480, 2995, 3367, 4923, 4173, 8654, 6562, 1267, 7470, 1094, 8012, 8499, 959, 8752, 6272, 3074, 3038, 7245, 6657, 8696, 9845, 1406, 9604, 8311, 9093, 8807, 3881, 5213, 3937, 6899, 130, 6954, 2654, 2418, 6722, 7258, 2767, 3996, 7529, 7895, 7168, 8751, 6352, 6197, 3377, 4325, 4815, 5191, 6428, 4609, 7381, 2049, 9203, 1914, 398, 8511, 6274, 4712, 6370, 6098, 1350, 294, 5641, 996, 3083, 3566, 5723, 6225, 2352, 1691, 7244, 6600, 2426, 5841, 2441, 4317, 8325, 7913, 7267, 5974, 6078, 8255, 8050, 2632, 73, 4274, 8827, 6256, 3228, 8470, 2587, 4449, 1994, 2295, 3576, 5964, 1111, 7442, 1301, 2361, 7689, 6396, 8401, 1278, 158, 4938, 6774, 423, 7169, 6912, 9766, 677, 8175, 8106, 584, 667, 7359, 2628, 2346, 976, 4246, 2005, 1860, 5381, 2565, 2014, 7919, 1708, 2613, 3489, 1065, 6618, 4711, 700, 1607, 7797, 4441, 4876, 2504, 3051, 4445, 2776, 3432, 8990, 8020, 7651, 1778, 681, 7857, 6502, 5076, 8939, 730, 4585, 497, 753, 1713, 1725, 9180, 9049, 7060, 1711, 5843, 354, 1091, 8984, 7411, 3530, 468, 8529, 57, 2302, 4656, 1133, 2502, 4955, 1397, 5155, 8144, 6253, 4059, 4089, 6144, 923, 3273, 5904, 7353, 2720, 7262, 2057, 5950, 2176, 8723, 4231, 694, 6211, 6148, 8666, 7928, 51, 7014, 6857, 3761, 4513, 513, 6257, 9620, 2052, 7167, 4319, 7973, 7379, 8122, 6341, 2770, 4838, 7896, 3222, 8770, 8627, 4238, 1244, 4603, 1648, 7137, 4595, 4658, 3392, 1051, 4514, 2179, 2719, 698, 3136, 9736, 3829, 7022, 702, 919, 2258, 8336, 3563, 3227, 2098, 3333, 7859, 5232, 3681, 831, 8298, 8727, 9116, 4222, 2475, 4423, 2416, 4401, 1821, 5644, 477, 7444, 3531, 1845, 1399, 176, 327, 6626, 1563, 5765, 690, 3989, 4023, 1168, 2307, 4600, 4700, 5393, 647, 1310, 4233, 783, 2828, 7918, 347, 3793, 6844, 6328, 7316, 8870, 7510, 2423, 6266, 5360, 6714, 6807, 1494, 7205, 6987, 1770, 2669, 1644, 4048, 7858, 3552, 5162, 1383, 2897, 6631, 7028, 3609, 6702, 874, 3265, 1859, 2702, 4155, 4007, 6310, 5283, 6091, 8433, 8790, 349, 4941, 3548, 1194, 3348, 8449, 2956, 1734, 5503, 7094, 3099, 8278, 8935, 9430, 6044, 7532, 862, 2015, 5180, 286, 8660, 39, 7395, 1143, 194, 519, 8064, 3394, 2160, 8258, 2677, 7675, 2487, 7308, 4371, 7504, 3319, 8921, 7131, 2011, 8386, 7620, 2059, 5517, 53, 3959, 7724, 8376, 6982, 6338, 6752, 6388, 7139, 1706, 596, 8868, 5470, 4027, 7521, 8364, 1623, 4668, 7218, 2030, 2480, 1273, 231, 7250, 8976, 8442, 7627, 37, 2419, 705, 2749, 4199, 800, 2044, 5880, 8005, 2782, 5380, 4236, 2880, 1829, 8160, 905, 8793, 2129, 9803, 782, 2638, 6501, 4699, 4291, 2882, 4092, 7874, 3203, 5249, 9603, 8419, 9908, 3465, 8086, 7145, 5959, 2188, 2088, 3794, 3152, 6763, 9133, 6554, 1911, 2872, 9866, 7594, 7810, 1577, 8788, 6830, 6299, 5327, 2512, 4561, 2936, 1643, 2594, 2476, 288, 4752, 9251, 3830, 4951, 8636, 7206, 7772, 3296, 8516, 7924, 2754, 199, 5697, 7867, 4805, 4101, 5666, 988, 1533, 6907, 5291, 6861, 8985, 4229, 3033, 7463, 7430, 3179, 3549, 5485, 8677, 6590, 1044, 7784, 2157, 3249, 7760, 1492, 7140, 5586, 7937, 1039, 1185, 2481, 7456, 8650, 1274, 5655, 5084, 2788, 9071, 7083, 5760, 8045, 5581, 7024, 6401, 6264, 5816, 1789, 6415, 3127, 279, 2323, 8815, 6680, 8110, 7788, 8289, 550, 6961, 795, 5401, 6817, 1425, 7215, 7177, 2796, 6214, 7288, 6128, 6548, 5952, 5053, 4394, 5858, 879, 765, 9040, 116, 6509, 8092, 483, 4996, 9682, 7234, 866, 1393, 6785, 7546, 8121, 7081, 5865, 6498, 3677, 601, 3, 8345, 8126, 3536, 2509, 7697, 8047, 6335, 593, 2905, 809, 7018, 5513, 4106, 5749, 7681, 6712, 4087, 6402, 3360, 7965, 8918, 99, 2918, 8344, 7457, 4984, 7146, 1593, 7782, 3768, 5272, 1515, 2234, 6372, 2849, 6620, 6419, 5164, 4645, 9350, 5245, 7484, 6974, 748, 7296, 6759, 2007, 8753, 152, 3813, 8934, 6000, 5980, 1568, 3795, 2438, 4867, 3208, 6487, 5045, 7491, 8549, 2924, 5386, 95, 1672, 5876, 6412, 6161, 7388, 1247, 1340, 3984, 4544, 785, 8435, 4554, 8988, 3298, 3291, 9209, 6949, 9468, 5867, 6113, 5848, 3834, 3169, 2636, 8880, 3315, 8437, 1045, 4040, 7736, 9156, 2694, 8337, 8295, 7625, 5215, 7911, 8901, 7851, 2722, 8007, 9160, 4331, 2460, 8585, 933, 2163, 2532, 8339, 3253, 3382, 6340, 2982, 9066, 6972, 4622, 3065, 1262, 4635, 4318, 154, 5533, 636, 5120, 9248, 3976, 7987, 4636, 5825, 2172, 2603, 6674, 1404, 8434, 8385, 5747, 5532, 5423, 520, 6173, 7110, 6259, 7730, 2292, 2198, 2385, 1978, 8919, 2752, 1658, 7569, 1614, 891, 447, 5052, 404, 3016, 6695, 666, 9420, 6852, 7399, 1040, 2387, 8644, 6181, 7585, 338, 2759, 8211, 4924, 2445, 2013, 5979, 2834, 8717, 4375, 928, 4414, 7996, 7814, 6962, 876, 345, 9167, 177, 3043, 7027, 3619, 825, 2589, 32, 5031, 5424, 2711, 1600, 301, 764, 3378, 7217, 7878, 4784, 5573, 4580, 4928, 9193, 8645, 6881, 3304, 9031, 4370, 1756, 7817, 4299, 6080, 5486, 6560, 2891, 5163, 8830, 1364, 2171, 7034, 9223, 7834, 8369, 464, 1800, 8932, 7079, 6901, 98, 1953, 1218, 1197, 5877, 1082, 2485, 8426, 3184, 701, 3646, 6457, 8734, 6250, 228, 8158, 6483, 4747, 5635, 2154, 3888, 7287, 7748, 1916, 2265, 3832, 2817, 6255, 150, 2682, 3113, 8421, 2021, 445, 9132, 6391, 8943, 8552, 7490, 7128, 5071, 5661, 3109, 6717, 8093, 5501, 5931, 2831, 8452, 4860, 1132, 3827, 592, 4190, 1346, 2310, 7856, 8100, 6122, 4871, 44, 6286, 5453, 4329, 502, 915, 9467, 1524, 5389, 6064, 662, 557, 7446, 9306, 8404, 6699, 1445, 6393, 5442, 7522, 588, 8910, 9063, 5741, 8274, 538, 8479, 135, 6849, 7818, 8342, 4162, 3366, 1537, 2858, 387, 5182, 7280, 7586, 8545, 8205, 2250, 3724, 9111, 7397, 770, 4847, 2117, 805, 435, 1553, 5889, 8173, 1368, 1513, 1087, 4597, 3952, 5427, 2966, 5106, 5493, 4302, 491, 7649, 8527, 4083, 8315, 5569, 6327, 7132, 1073, 3600, 7871, 5326, 884, 582, 5010, 4479, 4205, 2132, 4947, 8755, 2816, 2630, 7224, 1148, 7815, 1874, 8001, 2091, 6347, 1639, 6921, 7899, 1898, 8359, 1239, 7876, 6392, 8580, 2219, 8272, 8686, 2318, 7575, 5009, 6902, 4012, 6159, 7885, 9236, 5313, 2545, 8664, 4763, 8148, 4245, 6476, 4037, 8238, 1902, 5882, 4033, 9304, 7540, 9069, 7691, 3557, 2191, 9429, 1408, 9949, 7393, 8964, 4980, 5672, 7848, 938, 6414, 9085, 6191, 6898, 8568, 5414, 7561, 6360, 6271, 1974, 325, 5330, 496, 11, 2926, 3828, 119, 5726, 171, 7552, 193, 2917, 52, 8398, 7648, 1745, 2359, 6394, 8780, 192, 2756, 2336, 9891, 5647, 5206, 6477, 6910, 7016, 9557, 720, 4880, 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3232, 9201, 7498, 9749, 6047, 306, 6755, 9291, 4084, 224, 8498, 1003, 9105, 2626, 9759, 7268, 4139, 1804, 3064, 8207, 8692, 7090, 6537, 945, 5917, 506, 2377, 8732, 1551, 1799, 7023, 1912, 6667, 1403, 1326, 7693, 2668, 155, 7197, 6963, 8427, 6859, 6461, 3777, 5413, 4258, 1806, 1988, 6423, 6051, 5776, 8182, 7385, 87, 8617, 3673, 8629, 4714, 5714, 4257, 3931, 8445, 4732, 3968, 7698, 8839, 5129, 635, 7516, 4145, 7684, 7890, 5001, 7031, 3239, 2315, 4705, 2789, 7182, 6304, 3760, 7525, 7138, 7624, 2238, 8239, 1567, 6110, 1280, 89, 1423, 2768, 8679, 5706, 4618, 5498, 4865, 5871, 2811, 8465, 4848, 7143, 1041, 7536, 6549, 6484, 1012, 7992, 351, 9714, 5261, 6198, 5557, 2360, 4476, 2285, 7214, 7471, 4789, 6567, 6753, 2479, 9147, 7191, 8191, 3292, 1332, 2793, 3153, 253, 7237, 2634, 6966, 8778, 6696, 8034, 8417, 6709, 9189, 8482, 7678, 6279, 7013, 6658, 6374, 8966, 6891, 1717, 244, 9882, 5944, 8703, 7273, 8303, 4486, 1052, 2368, 3331, 611, 1766, 612, 4285, 467, 7824, 6896, 3838, 797, 3819, 6354, 3543, 229, 1303, 2027, 5008, 8226, 2627, 5912, 727, 622, 4146, 6892, 6152, 4392, 5397, 7354, 8979, 7666, 4757, 1755, 9027, 687, 485, 9002, 5739, 9210, 91, 8416, 2410, 5525, 3140, 8471, 886, 8806, 1080, 4840, 3269, 3060, 1395, 7473, 9356, 6916, 5888, 6300, 8744, 2530, 7269, 4857, 8038, 28, 6701, 6417, 8362, 5202, 4632, 1999, 7008, 8564, 575, 7811, 7213, 4793, 3271, 5625, 1377, 3479, 6611, 8166, 960, 6289, 512, 4596, 8192, 8164, 3614, 2784, 1849, 1442, 9822, 9911, 6772, 1392, 6908, 7263, 6014, 6775, 6355, 7305, 7302, 7242, 6995, 5780, 8013, 4866, 9034, 2208, 5524, 1865, 2252, 8294, 7483, 201, 8056, 5626, 3688, 8214, 1613, 5479, 72, 8854, 1883, 2812, 6275, 3788, 5028, 7557, 8329, 3791, 1739, 9110, 5585, 8829, 2023, 4864, 4727, 3086, 8153, 1046, 5531, 585, 8253, 8741, 3275, 4451, 3564, 7643, 5181, 2255, 7112, 7800, 617, 317, 6221, 3166, 2389, 881, 7660, 428, 670, 90, 4487, 5802, 6353, 2169, 3402, 4327, 2497, 6480, 7795, 1652, 4856, 6349, 6886, 2210, 796, 4260, 5601, 8316, 9137, 7877, 2825, 6371, 2791, 5991, 1382, 5224, 6459, 1430, 5264, 7861, 3470, 4352, 2193, 108, 784, 4531, 4985, 276, 9067, 892, 3985, 8262, 3180, 6604, 616, 971, 1465, 2865, 4351, 8605, 3660, 2792, 7830, 7159, 2335, 5050, 5311, 2870, 571, 8027, 8663, 6200, 5238, 3584, 8429, 5905, 1578, 9113, 7173, 8508, 4523, 2856, 6625, 2664, 608, 1011, 8871, 3324, 9207, 2915, 5574, 1158, 9191, 6066, 7509, 2528, 4958, 7954, 1788, 9912, 8709, 2560, 417, 5253, 9937, 8142, 6737, 6432, 7613, 8425, 8305, 8989, 8818, 9369, 2900, 6116, 3020, 204, 5781, 8232, 7194, 8488, 8949, 151, 9047, 3385, 721, 8370, 6029, 3247, 7781, 6081, 3957, 6285, 726, 5688, 8550, 6941, 406, 4079, 8049, 8165, 3550, 9195, 7039, 7974, 4312, 5169, 8878, 1808, 556, 7945, 4511, 9403, 7750, 9955, 5523, 7057, 2345, 9769, 2505, 900, 5507, 4374, 8350, 7932, 3316, 307, 766, 7136, 2453, 1486, 6648, 5762, 3806, 1254, 1154, 2557, 5298, 4335, 6171, 1186, 4811, 2246, 8399, 1100, 5902, 890, 5973, 3864, 9778, 7991, 7150, 8616, 6224, 8940, 7424, 4175, 9205, 2370, 1998, 9104, 6758, 8360, 180, 8490, 7959, 13, 8725, 3505, 2571, 196, 2349, 285, 8841, 9909, 8993, 3560, 4099, 2102, 9024, 2025, 8874, 7955, 4396, 6705, 1852, 5782, 168, 2298, 2135, 2206, 3546, 3192, 6642, 5426, 4043, 1361, 5099, 9001, 5828, 2275, 4818, 5737, 877, 2422, 1656, 4728, 6571, 3798, 1206, 6138, 4560, 3534, 7229, 6992, 6059, 5362, 5219, 8494, 1673, 9794, 4369, 6832, 5612, 7835, 894, 8306, 8291, 434, 4187, 2214, 7232, 7196, 6342, 7794, 7148, 5648, 5421, 8577, 6403, 3219, 366, 23, 7480, 8046, 4780, 2766, 4284, 4772, 3318, 2577, 6820, 7812, 6563, 3448, 3570, 4477, 2763, 4039, 8895, 3356, 5116, 5100, 3167, 7582, 6294, 6925, 9848, 9072, 5985, 3178, 3150, 9397, 1004, 6988, 5473, 371, 6238, 3572, 114, 1531, 112, 9036, 3633, 1320, 9476, 7746, 1841, 4041, 1455, 4598, 3990, 630, 3915, 6437, 6612, 7695, 5796, 6369, 7328, 6732, 6041, 3414, 7944, 205, 8785, 350, 3969, 3077, 7369, 420, 438, 4150, 8379, 9408, 9026, 8140, 9162, 1233, 1530, 711, 3718, 8758, 4502, 3558, 8613, 3877, 5134, 34, 5563, 7908, 1433, 4634, 1591, 7047, 1139, 7754, 6979, 4653, 5850, 7103, 8889, 6168, 8798, 2074, 4454, 1459, 8010, 4858, 8670, 8562, 474, 6494, 8851, 2168, 7326, 8912, 9975, 5681, 6738, 6596, 1102, 953, 1534, 7164, 5827, 6968, 3868, 676, 183, 9525, 8105, 3129, 1879, 7763, 754, 2616, 8967, 5738, 5514, 7970, 5949, 5174, 7414, 7225, 1384, 1366, 1255, 1991, 5241, 5874, 6958, 8204, 7284, 4861, 8410, 2755, 869, 2004, 7527, 343, 3398, 7368, 5656, 7549, 1230, 5692, 6182, 6885, 5407, 4828, 7971, 6742, 7791, 1162, 6030, 5548, 3820, 7948, 6792, 632, 8292, 3450, 9278, 7419, 5263, 2934, 5101, 129, 8794, 6782, 7849, 3250, 407, 6602, 248, 7572, 9421, 1947, 3575, 113, 2610, 5620, 62, 2840, 3198, 8481, 8059, 1223, 5856, 7713, 4817, 3747, 64, 7668, 7638, 1330, 8974, 8760, 3712, 3259, 3014, 9015, 2695, 5770, 7601, 587, 4420, 8273, 6204, 5103, 4937, 5136, 7337, 494, 741, 5484, 17, 2741, 3644, 2922, 7927, 7465, 5981, 8026, 341, 2937, 8101, 6524, 9738, 3854, 9172, 8296, 7482, 326, 4130, 2808, 2721, 2639, 78, 6337, 904, 48, 3824, 4601, 4376, 9969, 5689, 5243, 5606, 4103, 2975, 8718, 2284, 5236, 3624, 8513, 7934, 4946, 4806, 6833, 1809, 9458, 7176, 6205, 8578, 1737, 2108, 3640, 3437, 3488, 273, 8972, 1782, 949, 9650, 8695, 446, 6254, 6482, 987, 1202, 1032, 1683, 5400, 9661, 4361, 8492, 3419, 8795, 2892, 7266, 3438, 5138, 6652, 6240, 685, 6741, 7398, 7756, 9849, 8963, 5910, 2987, 811, 2992, 1362, 4316, 3026, 8598, 2779, 1791, 7037, 9837, 8869, 1414, 9194, 5643, 8838, 7405, 3509, 4462, 7558, 7029, 6510, 7452, 2684, 9184, 9644, 5972, 369, 8832, 9000, 3066, 3325, 139, 9518, 9178, 4629, 8787, 3679, 3710, 5092, 3138, 5624, 3665, 7583, 8586, 4977, 9867, 4913, 2119, 8603, 6004, 3463, 8975, 8641, 484, 4307, 9264, 6061, 8742, 5844, 5248, 7709, 2130, 1779, 8176, 4536, 8393, 8439, 5596, 6684, 2182, 6441, 3841, 8680, 1973, 2859, 6739, 4368, 5027, 7722, 3728, 3936, 8304, 9216, 547, 2704, 4918, 3523, 9686, 2744, 3311, 3694, 7629, 564, 9279, 1642, 829, 7300, 9117, 7171, 2382, 3344, 7040, 1814, 7653, 4613, 8076, 5217, 2795, 6322, 8952, 2969, 8524, 2293, 3904, 8575, 7704, 9163, 6515, 2807, 620, 9433, 1016, 2112, 5013, 1172, 3921, 2961, 7109, 5868, 8705, 8542, 589, 9213, 8113, 603, 1451, 3708, 6306, 4091, 2790, 4852, 3430, 5702, 9571, 4049, 9405, 6368, 4907, 103, 7690, 968, 6282, 4950, 8597, 4021, 4016, 7776, 5312, 1820, 552, 638, 3339, 2753, 9699, 7574, 6959, 137, 6813, 7377, 8983, 238, 2563, 6206, 9666, 4228, 8849, 7749, 9925, 378, 1002, 761, 6324, 8948, 5897, 5, 8950, 7798, 8886, 5561, 8927, 9507, 9567, 1760, 8799, 5987, 1649, 6316, 6023, 9349, 1654, 8881, 7745, 1443, 4552, 4135, 8275, 2738, 5599, 3492, 1615, 621, 5086, 1373, 1913, 8070, 5422, 3435, 7285, 7485, 986, 7278, 5369, 5535, 7998, 8495, 4097, 3395, 2167, 4692, 2400, 3407, 9298, 2885, 3987, 3256, 5820, 9406, 2778, 1001, 8938, 3636, 9558, 9230, 1038, 2104, 1005, 7162, 4019, 4240, 1776, 2524, 865, 8646, 6860, 6878, 8179, 7108, 8297, 5998, 1780, 2493, 3796, 3755, 7251, 3118, 9030, 85, 6190, 9588, 3117, 9651, 1205, 8738, 3729, 4412, 7291, 2576, 7233, 1573, 8030, 6169, 9032, 2715, 2451, 8764, 7816, 6938, 6846, 6217, 8584, 3919, 6594, 8937, 8632, 508, 8986, 5705, 3100, 8188, 3746, 185, 7015, 8842, 2367, 629, 6748, 6900, 1188, 2972, 3561, 9818, 4986, 7658, 8016, 92, 3886, 5914, 6345, 600, 4096, 2724, 7230, 7420, 6142, 487, 7829, 9064, 4619, 8655, 9190, 8713, 5168, 3061, 413, 2642, 9581, 7538, 7863, 5860, 4220, 1446, 9983, 6528, 8929, 5639, 8658, 3948, 5883, 7550, 2010, 6760, 2072, 3125, 1426, 4627, 1927, 8633, 2068, 3191, 9007, 106, 583, 920, 1548, 6092, 935, 2001, 9243, 1896, 7880, 8678, 9478, 6663, 6532, 8894, 198, 9127, 5471, 9554, 5310, 7804, 9947, 9118, 1389, 3544, 8589, 8394, 4605, 8579, 8973, 7598, 3853, 6628, 297, 6740, 2483, 2507, 1058, 4883, 4786, 9208, 222, 8169, 624, 4347, 6883, 3297, 9693, 47, 9871, 5460, 6827, 5854, 8544, 3653, 1812, 8875, 9703, 2959, 5527, 6767, 8872, 8041, 122, 1899, 9041, 5544, 6385, 7407, 4200, 9924, 3935, 4801, 7950, 8241, 8916, 8716, 8107, 2700, 9601, 9961, 7900, 1129, 8378, 8415, 627, 1216, 7080, 7802, 7727, 149, 6201, 482, 2868, 8215, 6749, 9003, 3133, 6194, 7117, 4770, 5262, 9954, 7114, 1401, 6465, 7846, 8186, 709, 2543, 2166, 7943, 9968, 319, 4569, 5094, 4433, 8814, 7433, 5497, 523, 6766, 7020, 8596, 967, 5059, 896, 6665, 7657, 7771, 2945, 1097, 864, 8443, 9107, 313, 400, 5012, 2227, 6268, 6312, 6011, 3355, 631, 1985, 558, 329, 5467, 952, 448, 9139, 5445, 9820, 7259, 5276, 4421, 7792, 7009, 4760, 969, 3833, 6682, 5176, 3730, 6507, 6520, 7391, 7030, 3943, 8657, 181, 5970, 9016, 8726, 9130, 7183, 8805, 7042, 9062, 672, 2556, 4556, 7464, 7588, 3401, 3743, 5160, 6606, 688, 7836, 8019, 946, 1081, 5328, 9020, 8406, 3960, 7418, 1229, 5146, 4473, 1098, 3023, 648, 4400, 2588, 7404, 7277, 2488, 3062, 6856, 9197, 6559, 7061, 814, 2291, 3449, 1831, 8317, 6213, 6175, 1663, 9, 4872, 7608, 8476, 3685, 141, 6639, 8771, 2482, 5538, 5792, 1633, 4952, 8422, 4496, 418, 7222, 8395, 459, 3248, 4353, 8194, 3645, 8761, 5090, 4920, 3201, 6329, 6977, 4746, 6619, 7576, 5500, 830, 5622, 7595, 6998, 8810, 992, 74, 8631, 566, 5318, 8944, 5296, 6049, 9498, 3320, 9161, 7453, 437, 1955, 9158, 8159, 7270, 3672, 3610, 8210, 649, 1008, 4893, 4776, 8154, 3345, 2548, 658, 4000, 234, 153, 8048, 7454, 2815, 9434, 7862, 8037, 719, 656, 7708, 8958, 4113, 3308, 3512, 6981, 2830, 966, 9354, 2979, 5235, 9383, 5324, 7256, 6815, 3185, 1487, 2550, 5221, 7180, 4060, 1484, 2554, 6158, 2432, 8044, 426, 6930, 1826, 657, 4967, 384, 2260, 295, 6829, 544, 6395, 9310, 6410, 9056, 6873, 495, 261, 6681, 4528, 4128, 3669, 9025, 8684, 6012, 29, 7914, 7807, 6923, 6, 9853, 1253, 5654, 6434, 7507, 7958, 8221, 9202, 1000, 1427, 6123, 6906, 8855, 6364, 7711, 8573, 5627, 2523, 3851, 7227, 4930, 9073, 8863, 7003, 3707, 6314, 1775, 7930, 7793, 6095, 6809, 4425, 3946, 6644, 1250, 3949, 1023, 7292, 375, 8172, 7187, 8240, 277, 58, 4833, 5742, 7610, 6491, 7289, 54, 2420, 7466, 3603, 4088, 7272, 9326, 4160, 1514, 9538, 9315, 220, 5385, 573, 8003, 9783, 3002, 8626, 1922, 9042, 7619, 2328, 6160, 8604, 7415, 5438, 6580, 4357, 4970, 8688, 1664, 8119, 9806, 1936, 7032, 9023, 4153, 9474, 1795, 8087, 3842, 9078, 5754, 5640, 7362, 5002, 9006, 2194, 9265, 712, 9470, 3128, 4072, 5895, 7208, 3175, 2609, 6034, 9359, 745, 1929, 3189, 4234, 7122, 7766, 3221, 3971, 8184, 9188, 4112, 3158, 4387, 6021, 637, 7422, 2887, 6636, 2644, 7252, 6308, 686, 9575, 7025, 3466, 8036, 2383, 7248, 284, 4201, 2022, 4263, 1848, 9295, 633, 4493, 5675, 6470, 8353, 2124, 7123, 8190, 5691, 9426, 9022, 8218, 4934, 907, 6454, 9146, 3582, 440, 8639, 8212, 5392, 7066, 623, 443, 1112, 7553, 2029, 2204, 7831, 1063, 233, 3924, 4338, 395, 8561, 7946, 3073, 1351, 3322, 6661, 4545, 8302, 1405, 8728, 8971, 532, 8960, 7339, 2909, 102, 4968, 4824, 7111, 7410, 4921, 147, 8676, 936, 7577, 9166, 9886, 3190, 2321, 8116, 8682, 6838, 7825, 245, 5928, 1348, 8559, 1179, 8777, 1617, 5080, 7652, 6884, 1220, 2582, 6070, 2401, 7276, 6624, 8724, 1400, 6283, 232, 184, 3157, 1688, 9083, 5937, 136, 8533, 1685, 2141, 5433, 6210, 4217, 4273, 4314, 8858, 1640, 7654, 3281, 5818, 4366, 2024, 9376, 7062, 7254, 1108, 9551, 2417, 2211, 1622, 528, 7765, 7676, 3702, 2456, 4639, 5005, 4142, 7007, 7281, 8534, 4654, 450, 453, 4807, 5355, 226, 5592, 5125, 2842, 16, 827, 8319, 3388, 7449, 84, 5864, 6978, 7374, 7121, 568, 7960, 710, 4328, 9807, 527, 810, 683, 6685, 9522, 46, 7642, 7147, 9779, 1424, 7506, 7387, 6670, 8884, 1546, 429, 225, 1031, 7523, 5961, 5906, 4810, 7707, 7156, 5370, 8203, 7883, 2375, 7348, 8775, 8546, 302, 4693, 4406, 9802, 3583, 607, 31, 8201, 6046, 7235, 3627, 4564, 9472, 8563, 7078, 8574, 7528, 8085, 1381, 4588, 769, 8592, 7402, 8668, 1130, 9675, 1115, 8123, 2600, 6521, 3018, 2835, 9670, 7547, 8860, 8463, 8714, 7560, 3559, 1219, 6067, 9268, 4888, 7396, 5769, 109, 7209, 4559, 33, 609, 8474, 947, 1631, 3709, 8774, 8954, 6678, 6379, 9556, 5367, 1304, 8614, 4204, 1144, 132, 4322, 4875, 3589, 1365, 6261, 2804, 4587, 7175, 5172, 6937, 7628, 518, 5115, 4343, 4538, 8111, 2697, 3547, 3383, 4244, 2944, 9608, 8821, 1733, 2998, 7534, 3918, 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4153, 8146, 955, 2232, 9039, 5874, 6811, 4774, 5341, 6805, 556, 5689, 8042, 5556, 7338, 864, 30, 3471, 1923, 2539, 2090, 3541, 1184, 6944, 5030, 2334, 2930, 1749, 9534, 1500, 4096, 4709, 4821, 5887, 5058, 6309, 5775, 5774, 980, 4846, 5450, 1574, 2395, 7549, 7041, 6251, 8961, 9618, 9682, 94, 5010, 7255, 880, 5416, 90, 1442, 3563, 1290, 1997, 4742, 2719, 2742, 7083, 3922, 7710, 1624, 4476, 7681, 5589, 4234, 4947, 5829, 3328, 3359, 3804, 7906, 828, 7617, 2273, 4229, 2647, 1588, 6836, 3344, 2918, 4707, 1637, 5778, 4022, 6280, 5322, 5953, 7908, 6236, 800, 5476, 9408, 1052, 8000, 3000, 416, 5607, 3622, 2726, 8363, 791, 7362, 4514, 9694, 8385, 1086, 1387, 9094, 3874, 8739, 2975, 5254, 4864, 920, 4292, 2336, 8917, 89, 2123, 6542, 2978, 6767, 6107, 3071, 8842, 9806, 6315, 6461, 2948, 4493, 5693, 8640, 2940, 4951, 5323, 8823, 7060, 1107, 5004, 3486, 7506, 1286, 1626, 1977, 3494, 6781, 7124, 3635, 771, 429, 342, 5394, 995, 1511, 7000, 8329, 2879, 8199, 1190, 887, 6597, 9262, 832, 2871, 5863, 4256, 2380, 5696, 3975, 2155, 6880, 1331, 1415, 4611, 8903, 1081, 6596, 1262, 4997, 1803, 2916, 458, 235, 1943, 2745, 9097, 1373, 6332, 4434, 2269, 8998, 1476, 946, 7100, 5089, 2427, 8963, 5547, 3148, 8440, 7999, 2693, 7625, 1111, 2858, 8540, 4708, 8222, 2183, 9292, 2017, 1016, 1508, 2576, 5788, 7755, 8376, 5751, 7689, 5325, 7077, 7311, 1475, 5932, 5079, 5537, 6157, 6599, 4078, 740, 1212, 7447, 4364, 8073, 1875, 2172, 3236, 9402, 6081, 6663, 6045, 1980, 4331, 985, 6145, 2287, 820, 6952, 8348, 1834, 2780, 3546, 18, 3083, 8872, 5331, 3666, 4183, 237, 2005, 5542, 313, 5584, 8411, 8666, 4557, 8902, 211, 2867, 2854, 5656, 6972, 8702, 3733, 8851, 644, 5828, 1380, 2691, 1688, 5123, 6218, 844, 711, 82, 1479, 1618, 6547, 2731, 4578, 3768, 1912, 1925, 8679, 5772, 4167, 7335, 8109, 768, 3018, 2807, 2368, 8841, 5951, 8314, 7314, 8644, 2343, 8605, 1473, 9766, 6505, 8731, 6594, 1587, 3872, 5106, 4141, 6072, 1482, 2362, 5357, 9034, 7969, 1549, 1520, 1600, 1634, 518, 4486, 9865, 8844, 5161, 3843, 6208, 4900, 2099, 8215, 4513, 5718, 6305, 9184, 1823, 6419, 4567, 4466, 741, 76, 7058, 3451, 7171, 903, 5428, 545, 5931, 5410, 5181, 3716, 5929, 5911, 1951, 8819, 8835, 4452, 1771, 3812, 3553, 7423, 64, 9342, 1322, 5245, 5061, 5377, 4068, 4843, 1416, 217, 3892, 9179, 7702, 7976, 2536, 7948, 2711, 7782, 1792, 1036, 843, 9802, 3912, 1630, 5304, 4262, 3698, 469, 1628, 3488, 5628, 8537, 519, 9024, 6184, 3974, 4930, 3049, 7339, 9442, 1700, 6043, 9288, 3929, 8494, 4572, 8761, 918, 6034, 9120, 8082, 1170, 3725, 4696, 9015, 6817, 1269, 2020, 4321, 6531, 641, 9115, 3786, 1885, 3626, 2035, 7998, 5225, 7310, 5282, 3104, 6664, 8613, 4925, 6857, 4176, 2356, 5452, 6720, 8266, 2962, 4858, 8753, 6946, 1627, 8921, 6631, 8863, 60, 2643, 7604, 5763, 6330, 5590, 4745, 180, 2454, 4839, 4700, 9082, 5761, 1066, 5090, 1568, 2679, 6217, 2646, 4630, 3916, 2244, 4252, 299, 3510, 5281, 6464, 1510, 3525, 2386, 5614, 4112, 4760, 6486, 4640, 4157, 7122, 9627, 2012, 2697, 3746, 6078, 6543, 742, 7791, 7367, 8496, 4123, 6919, 7558, 1519, 5234, 5901, 1388, 1907, 1282, 8676, 7826, 2551, 2186, 9638, 8236, 7893, 4935, 5798, 5668, 3448, 4125, 2283, 7643, 6093, 1710, 8633, 8403, 1909, 7868, 1229, 8762, 5340, 6853, 4993, 601, 6375, 3304, 8859, 2541, 9304, 8288, 2016, 8224, 7172, 3207, 1629, 9140, 7809, 6877, 5803, 6707, 6002, 8928, 6176, 1515, 5737, 5604, 8981, 8870, 4816, 3884, 3154, 5420, 5658, 7970, 2317, 0, 7064, 1233, 8020, 8444, 3468, 4484, 1317, 2424, 6085, 590, 5715, 6049, 6867, 6932, 9862, 2194, 5477, 5719, 3192, 1035, 5894, 1952, 6934, 5330, 4349, 1214, 6519, 8608, 848, 7251, 1784, 3487, 3130, 4660, 1193, 9603, 3879, 6785, 6382, 4837, 298, 7684, 4908, 7140, 8979, 6090, 9927, 5661, 155, 7299, 5268, 5512, 8333, 7046, 5926, 4790, 6930, 8797, 6098, 842, 5631, 8135, 2468, 9171, 5510, 8600, 2941, 8520, 3932, 8768, 361, 8790, 941, 6958, 1181, 4609, 6357, 5939, 8686, 5651, 23, 8483, 4562, 5769, 5799, 9666, 8916, 1597, 1298, 5449, 7180, 2720, 3051, 7621, 769, 7353, 3977, 6645, 7192, 5171, 1466, 675, 7350, 8674, 6036, 7119, 1391, 9265, 1195, 1363, 8149, 252, 3587, 5783, 869, 1287, 6232, 7478, 1464, 9729, 3880, 7365, 3044, 7364, 8095, 3572, 5465, 7197, 2281, 3928, 8824, 7229, 3967, 9318, 3411, 8247, 8767, 7676, 1950, 6871, 9406, 8983, 2393, 1227, 2683, 9645, 4684, 2026, 4138, 3389, 5348, 3058, 9373, 4403, 6573, 2455, 8990, 6025, 2290, 7746, 4743, 7234, 2785, 3690, 6849, 355, 3465, 5199, 5261, 292, 1110, 1236, 1687, 4690, 6273, 6717, 4164, 1248, 2225, 7918, 7221, 6660, 3284, 7427, 5805, 6613, 1802, 1488, 6546, 6790, 8345, 7579, 5275, 4836, 1000, 5077, 8325, 1384, 3575, 7850, 2086, 1080, 4814, 6731, 8907, 3616, 3655, 9113, 8198, 7997, 5339, 312, 4545, 6984, 4979, 2351, 8627, 6188, 4820, 7162, 2259, 2276, 8941, 9609, 2184, 9783, 7204, 5262, 1404, 8157, 4072, 1252, 6828, 707, 1221, 8470, 8523, 8550, 6436, 5291, 5244, 3102, 4893, 9153, 5335, 6671, 8153, 6582, 5812, 9206, 5455, 8271, 6050, 3789, 8944, 1768, 3538, 1505, 4477, 27, 6608, 4554, 7566, 5541, 7001, 80, 751, 2398, 9090, 4634, 8862, 1418, 1992, 2078, 1318, 6290, 2617, 1403, 7785, 3390, 4487, 3300, 7328, 7305, 5464, 3878, 2924, 7627, 829, 1343, 3180, 6166, 9503, 8968, 446, 5580, 7656, 268, 1732, 2951, 7380, 1129, 4822, 1491, 8720, 1141, 8574, 9693, 1723, 5321, 417, 5588, 2757, 3110, 6396, 1915, 6855, 3199, 6116, 2476, 9131, 6584, 2777, 4635, 5119, 1379, 8545, 205, 7460, 8601, 1055, 2243, 747, 3352, 5210, 7239, 4801, 182, 5988, 4225, 6907, 173, 8040, 4006, 7585, 7004, 587, 8350, 1010, 8347, 8010, 5220, 1, 2517, 5703, 3821, 306, 4769, 7131, 3719, 2156, 435, 5757, 3136, 4890, 6424, 8055, 3062, 9169, 4647, 3233, 923, 732, 5317, 7936, 6789, 8160, 3124, 5039, 3732, 5610, 309, 7187, 7062, 3621, 5664, 2960, 8658, 3319, 6837, 6586, 6363, 2304, 8560, 2748, 2491, 7769, 5888, 1340, 4251, 1575, 2080, 3743, 2009, 1848, 9434, 4906, 3524, 4957, 1995, 7489, 2778, 7262, 2128, 3647, 1559, 5095, 8776, 7057, 1691, 6130, 3514, 4553, 96, 4771, 5183, 208, 5725, 4179, 3055, 720, 4215, 167, 549, 2083, 2122, 1123, 3513, 2803, 4500, 9751, 819, 7125, 6585, 1522, 6378, 7728, 2152, 2279, 8895, 267, 777, 5269, 151, 6483, 62, 6827, 3163, 4324, 1879, 6243, 4779, 737, 3047, 1616, 9028, 6001, 4734, 3777, 3808, 1163, 4958, 7492, 5648, 7247, 5149, 7080, 2148, 8260, 4054, 2848, 6060, 4498, 3708, 6178, 9002, 5483, 8618, 1209, 3761, 4254, 5562, 1265, 2718, 5688, 2247, 7837, 9684, 5446, 1457, 3913, 3824, 1900, 1369, 6764, 3851, 5362, 981, 7378, 5996, 6540, 5569, 1283, 4458, 936, 3904, 1849, 6916, 494, 4506, 1306, 6659, 7381, 5113, 3940, 7436, 8452, 3195, 1652, 7023, 1550, 222, 4607, 2658, 7048, 6440, 3205, 4413, 9947, 1583, 3106, 6900, 4011, 8434, 4855, 2584, 1501, 7752, 1658, 1258, 4415, 492, 339, 861, 1747, 5564, 8008, 2756, 2377, 7972, 4888, 9101, 8661, 3026, 9174, 1130, 8197, 7035, 5896, 7143, 9141, 6971, 5250, 7520, 9529, 2736, 8208, 989, 1709, 3862, 1315, 7322, 8015, 8867, 6804, 9868, 4936, 7833, 8778, 4338, 6059, 7634, 2119, 2979, 1241, 1539, 8195, 6125, 2769, 4913, 5994, 5903, 9507, 3065, 4005, 91, 1702, 6103, 5565, 3112, 6339, 4120, 1139, 1521, 7430, 7308, 2338, 8211, 7714, 224, 567, 5841, 5151, 4071, 5881, 8056, 2111, 1061, 6537, 4345, 5019, 9308, 3810, 1804, 3161, 1972, 1697, 7232, 7777, 3815, 7440, 5659, 5840, 7909, 4753, 2770, 8993, 4004, 6525, 9305, 6187, 7273, 5924, 7960, 8214, 8094, 6866, 1185, 3053, 8406, 8176, 942, 7869, 6203, 2459, 5539, 5228, 2394, 3078, 5861, 1561, 8534, 3841, 5031, 5902, 2037, 639, 6580, 6593, 3246, 3963, 4393, 5466, 648, 3738, 2886, 2327, 1764, 4807, 8438, 6018, 991, 1144, 3046, 4267, 1536, 7934, 6394, 9192, 2827, 4168, 2602, 9619, 2752, 9093, 5626, 1748, 3301, 8506, 9079, 3545, 7693, 4757, 6694, 8311, 8502, 1882, 7899, 5226, 6409, 75, 4687, 1313, 2396, 4794, 8029, 1609, 806, 2384, 7138, 5117, 6289, 9203, 8373, 8092, 2234, 4644, 6333, 4896, 5745, 8699, 6296, 2285, 4279, 2622, 4646, 2689, 4672, 7613, 4720, 5300, 1963, 5558, 944, 7636, 7787, 5037, 4460, 376, 212, 5015, 3355, 7911, 6574, 3445, 5674, 9971, 471, 840, 7741, 5488, 514, 1892, 4786, 8808, 1335, 3989, 5967, 6638, 6672, 3577, 3960, 1712, 5895, 2512, 9148, 2108, 4877, 7971, 9470, 8204, 2171, 1509, 635, 7503, 6246, 5597, 3280, 1182, 2207, 119, 5023, 1580, 5548, 1611, 1821, 441, 4601, 2877, 1570, 6685, 2051, 7814, 3209, 1724, 6196, 4272, 9144, 8148, 5035, 5346, 3141, 9364, 7402, 8965, 6818, 1097, 830, 7931, 6022, 6979, 5505, 5001, 4995, 5870, 5952, 8803, 487, 1905, 5150, 1982, 8134, 7098, 3794, 3169, 3830, 7446, 135, 2055, 4880, 6484, 1034, 74, 2330, 554, 1006, 51, 5672, 3354, 6629, 656, 964, 6721, 3259, 1417, 2593, 3504, 9021, 8997, 5229, 4233, 5480, 6699, 3898, 4282, 5567, 4571, 9818, 5618, 6552, 6826, 9091, 3075, 7806, 8931, 1899, 7552, 8746, 2105, 4772, 6882, 9076, 9114, 7720, 7208, 976, 7759, 2307, 3833, 187, 2373, 5909, 8847, 2913, 5965, 7225, 8478, 8461, 5582, 2062, 373, 5528, 8103, 390, 2058, 8067, 8869, 7580, 7019, 4293, 3686, 4247, 1753, 5421, 5072, 902, 2275, 8213, 6089, 7582, 929, 2887, 9612, 7846, 7287, 2002, 1439, 4736, 3527, 7014, 6803, 5266, 4097, 6956, 470, 5635, 6733, 6457, 1408, 812, 5487, 5993, 5660, 4773, 7964, 9086, 9004, 1238, 5787, 5099, 7170, 5414, 7462, 1481, 4384, 5389, 9085, 170, 5680, 8614, 6256, 8594, 5047, 3085, 6118, 7451, 8219, 7174, 61, 8170, 9139, 8783, 7982, 7118, 9699, 7183, 9, 6344, 932, 8515, 6442, 9685, 4048, 3930, 9412, 2054, 4162, 4959, 5560, 5917, 5050, 8191, 5573, 6988, 5784, 1360, 4355, 7390, 4124, 9225, 743, 6556, 6144, 8973, 1613, 2675, 2376, 4589, 9136, 856, 2654, 1255, 886, 1465, 1717, 2133, 5020, 2532, 4876, 7499, 4698, 6029, 1204, 723, 3948, 706, 2985, 7463, 3325, 5292, 4719, 500, 2294, 7168, 1961, 805, 8389, 8468, 1082, 1947, 1280, 1161, 1132, 8256, 2712, 2423, 2282, 112, 7645, 8045, 4202, 8352, 8849, 5352, 3595, 7078, 9302, 3466, 4003, 4492, 248, 776, 612, 5524, 4920, 611, 3692, 7431, 9671, 8507, 1018, 4636, 4891, 1042, 2492, 6723, 6151, 2993, 408, 5683, 4756, 226, 7557, 2018, 9859, 9976, 4671, 15, 6719, 2215, 7772, 1690, 4909, 8007, 3581, 3511, 1197, 2823, 5876, 5319, 9792, 563, 1050, 5016, 8665, 4191, 1782, 7756, 8308, 7319, 3162, 4655, 564, 4987, 9731, 5552, 8133, 8555, 5100, 7700, 3309, 2822, 2923, 86, 109, 8514, 1329, 1240, 2954, 311, 6786, 8231, 7012, 264, 8136, 6662, 6227, 4442, 2698, 8912, 3, 7747, 6859, 2057, 5961, 3138, 3142, 3591, 2896, 2006, 6450, 6023, 3697, 3015, 2687, 5000, 9012, 7890, 1547, 5947, 5922, 4290, 1767, 8081, 2514, 2531, 8899, 867, 9899, 804, 1365, 7342, 7940, 5511, 9362, 893, 782, 2370, 3478, 7578, 6681, 434, 1601, 9587, 6316, 7169, 754, 7277, 3144, 1930, 4052, 9188, 8710, 8982, 7894, 7454, 4432, 7488, 3480, 9535, 5875, 8677, 6245, 7595, 7886, 3483, 3009, 4381, 444, 6471, 1143, 8118, 7892, 2578, 2249, 6925, 2789, 1454, 6493, 7217, 8362, 3021, 9123, 5032, 708, 6455, 2659, 9172, 150, 3283, 2096, 3897, 3910, 1843, 8810, 4246, 689, 1762, 912, 3839, 6017, 5408, 6908, 4583, 3596, 7528, 2192, 7637, 5885, 1075, 1820, 1005, 688, 3985, 2272, 9974, 2348, 3310, 1714, 877, 2074, 3909, 7497, 3973, 1362, 7670, 2801, 5369, 7840, 1071, 2715, 4090, 4915, 6910, 8022, 1447, 3145, 2224, 7116, 7758, 4380, 3505, 7101, 3299, 8274, 3164, 6884, 841, 9181, 2211, 533, 8303, 1707, 1260, 2114, 1424, 885, 3745, 4046, 1164, 2873, 6069, 4507, 5415, 2970, 4678, 1336, 7889, 4932, 2521, 9009, 3223, 4919, 3200, 8853, 6350, 1004, 2696, 5866, 9675, 3926, 1312, 2250, 2668, 2706, 3345, 10, 1594, 4422, 811, 7781, 385, 5979, 6649, 9404, 1354, 8034, 4461, 9709, 6412, 5900, 468, 649, 8159, 2819, 412, 783, 5277, 7432, 2266, 5417, 992, 7022, 3072, 6830, 7641, 6921, 3399, 7764, 1914, 164, 1176, 3119, 507, 227, 1087, 303, 8355, 9396, 5458, 5435, 37, 4752, 8834, 2515, 884, 4716, 3681, 148, 9888, 8404, 9264, 6042, 7786, 4511, 5163, 8678, 2416, 174, 4087, 8488, 1067, 8967, 6650, 2177, 6406, 8111, 5255, 134, 9006, 1015, 698, 7069, 5818, 7485, 3507, 719, 5623, 8251, 2653, 4724, 9165, 6113, 9610, 3533, 3260, 8509, 1013, 4737, 4232, 4437, 8346, 4780, 6275, 6904, 1146, 5376, 8229, 8167, 1926, 3349, 4340, 1414, 2816, 1730, 8002, 346, 8636, 2359, 6991, 5290, 5350, 4407, 1608, 5233, 8322, 1890, 5156, 8156, 1226, 4389, 2763, 9100, 2237, 9524, 3408, 3956, 3362, 7261, 3654, 7885, 8238, 6223, 2957, 1725, 7668, 1944, 1744, 2175, 4666, 667, 8959, 2751, 3369, 6975, 3250, 3086, 2686, 9154, 5807, 3520, 4394, 7090, 4255, 8030, 3718, 5109, 8300, 1891, 116, 6240, 4764, 515, 5726, 7026, 9634, 9625, 4984, 616, 9789, 8744, 696, 8090, 8230, 919, 3056, 6302, 3275, 4796, 2592, 8075, 2828, 2066, 7957, 5132, 5676, 5835, 6028, 6244, 5709, 1191, 4050, 7375, 8732, 2621, 8657, 5479, 5779, 9637, 3040, 4014, 9744, 1529, 2342, 6870, 3590, 6299, 6869, 9386, 6425, 3373, 5440, 5065, 1456, 5747, 2891, 6404, 8424, 3645, 632, 7341, 7456, 7010, 2784, 8337, 7399, 8972, 9765, 4797, 8171, 1873, 9405, 6319, 6352, 8740, 2826, 9263, 3531, 6337, 9736, 4532, 621, 4001, 2570, 935, 1562, 4026, 821, 6906, 8397, 272, 2289, 3853, 473, 2964, 8409, 1660, 994, 7666, 5014, 6101, 6791, 2347, 8051, 4236, 8857, 4580, 8296, 4018, 5545, 57, 1527, 1295, 1186, 7542, 7252, 8121, 5791, 801, 6479, 4679, 9853, 5274, 807, 7445, 8987, 3422, 5485, 2750, 8179, 8429, 7084, 4996, 52, 905, 1889, 933, 1507, 6729, 8723, 900, 9130, 6607, 4219, 4563, 613, 1648, 1545, 8915, 6432, 1272, 1653, 5107, 1989, 4529, 4835, 2441, 8196, 1983, 1720, 2939, 8012, 1223, 3814, 4039, 892, 6058, 9444, 4158, 7008, 4887, 59, 4211, 3764, 6641, 3282, 7682, 280, 4694, 7331, 3012, 5605, 748, 1020, 4886, 3446, 6529, 784, 9728, 4420, 8551, 6851, 6128, 7082, 3376, 2059, 221, 1839, 9740, 9869, 5073, 6266, 6152, 8245, 7804, 4190, 685, 2199, 3425, 7393, 2611, 1469, 364, 3944, 45, 5423, 6268, 5133, 4865, 1385, 3334, 3394, 3206, 779, 6813, 2312, 526, 6555, 2809, 8359, 362, 6233, 6021, 2765, 3931, 827, 781, 8375, 4475, 7711, 1113, 8132, 8489, 8750, 837, 453, 9307, 3625, 2402, 4248, 7288, 572, 3522, 4431, 5064, 4485, 5507, 4336, 8958, 7897, 213, 9680, 1332, 5913, 7519, 7854, 2118, 4530, 586, 2097, 3095, 8205, 2104, 484, 8487, 9723, 7105, 4027, 3228, 7491, 3840, 5297, 2217, 4641, 1472, 1206, 4140, 2572, 6205, 6370, 4118, 1364, 1666, 7561, 999, 3669, 7424, 6973, 7468, 4519, 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43, 7699, 3964, 854, 9670, 952, 28, 5125, 5616, 9848, 1872, 4604, 8526, 2722, 1918, 787, 8971, 6428, 5146, 9023, 4798, 7397, 8490, 5430, 3080, 1647, 2645, 6005, 4598, 474, 3008, 8646, 3440, 3027, 5279, 7554, 2840, 3720, 925, 7687, 2876, 1595, 8755, 3678, 6668, 3717, 4777, 1960, 2381, 8258, 5442, 6009, 496, 3996, 7738, 1670, 7686, 6277, 7788, 4945, 7767, 5128, 9212, 4892, 9112, 1128, 3828, 117, 7779, 3599, 360, 7724, 6348, 9884, 7017, 9840, 6893, 2490, 6653, 6140, 6995, 1452, 2845, 588, 3423, 2028, 7361, 9200, 2724, 8368, 9958, 2185, 2240, 5687, 6255, 7148, 2213, 2950, 9221, 8061, 2500, 2437, 3952, 2052, 7509, 4069, 4539, 2682, 3188, 2554, 4748, 6823, 998, 497, 396, 5013, 7640, 8262, 4676, 9521, 8716, 6313, 4357, 8845, 448, 4228, 4840, 3860, 9180, 1401, 6474, 3035, 5067, 7807, 2670, 1118, 2660, 2451, 561, 6964, 7598, 7853, 5948, 4681, 5049, 6666, 1092, 1793, 1266, 9523, 8660, 1349, 9591, 7326, 5071, 3268, 5404, 6759, 9161, 3751, 1801, 6373, 8243, 6358, 1829, 8565, 3528, 9778, 733, 1705, 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7715, 3042, 5474, 6481, 4653, 4312, 3749, 3641, 8882, 7167, 5543, 8575, 8721, 1981, 5700, 141, 1835, 6626, 7919, 9098, 5682, 5148, 6726, 8137, 3457, 597, 6368, 3848, 5964, 6876, 4057, 5575, 9781, 2288, 8777, 8577, 755, 8725, 7898, 4208, 3341, 9951, 3659, 5657, 9430, 7324, 9935, 7467, 9689, 5108, 7776, 4093, 4778, 5750, 3338, 7291, 5382, 3634, 2581, 7031, 7950, 1389, 8336, 6774, 7749, 3378, 9243, 2997, 6754, 2311, 8754, 6260, 9501, 4527, 4622, 2023, 2031, 8264, 9816, 1701, 5258, 9377, 8216, 8572, 4661, 8986, 5402, 5765, 5830, 5704, 7938, 1316, 9175, 6825, 7249, 9190, 130, 3938, 4045, 3419, 5711, 996, 1599, 2174, 917, 7254, 7114, 3740, 8802, 5603, 2460, 3915, 5086, 874, 1289, 7903, 8704, 8265, 6965, 949, 8733, 6198, 2700, 2605, 4134, 9460, 2191, 7961, 7792, 1532, 6365, 9092, 5831, 2817, 1874, 191, 1039, 756, 2060, 1435, 2125, 6088, 1513, 5767, 8597, 2189, 5559, 8078, 5310, 7774, 6982, 8317, 1598, 9881, 2791, 5312, 4969, 8293, 2132, 4962, 4490, 7269, 499, 9472, 5499, 8327, 8240, 5713, 3813, 5011, 6935, 7667, 871, 363, 7887, 6065, 5753, 637, 7465, 954, 7508, 6518, 3400, 3335, 2910, 3276, 899, 4099, 1993, 4749, 5333, 5521, 1402, 4264, 5074, 9147, 6384, 2433, 2365, 6374, 3781, 2746, 6234, 3512, 5431, 6945, 7594, 2071, 6324, 3017, 9443, 922, 8632, 2640, 4516, 6702, 2477, 1663, 2666, 1807, 4714, 6773, 3895, 6643, 2664, 4933, 5111, 276, 9738, 8028, 2329, 5492, 8070, 1228, 7663, 5845, 4905, 1877, 2672, 8752, 1953, 7910, 3434, 1506, 9238, 5843, 4883, 5593, 7104, 5972, 1644, 1755, 2846, 7376, 9240, 318, 9037, 5270, 2203, 1202, 181, 2448, 9261, 5962, 483, 3384, 7486, 8432, 8868, 7283, 3158, 8707, 550, 7980, 3347, 9056, 4306, 7930, 575, 4173, 4741, 9149, 4739, 3245, 2657, 2305, 4474, 6164, 8585, 161, 1719, 3592, 6135, 7371, 4243, 2481, 6215, 14, 3826, 816, 4102, 5283, 7495, 839, 9937, 8813, 1073, 320, 6138, 4522, 7332, 6281, 7318, 4411, 6030, 7644, 8838, 5941, 8242, 3721, 7422, 1277, 2699, 9080, 1584, 8933, 8549, 3611, 1704, 2453, 7796, 3360, 5412, 5482, 9046, 4549, 3244, 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4258, 2977, 2955, 4590, 1824, 9384, 770, 8653, 9642, 8177, 4365, 3526, 1310, 3196, 5385, 8200, 5036, 4862, 5070, 4214, 6850, 2533, 2758, 220, 133, 9064, 8843, 8021, 1698, 4494, 6470, 3490, 617, 3336, 3667, 9343, 2843, 9234, 1777, 9473, 8330, 9478, 2473, 4423, 5026, 4787, 7297, 1840, 2598, 2242, 8190, 6003, 3247, 1145, 5549, 4333, 8770, 6548, 627, 1137, 2428, 988, 2774, 7073, 4274, 3464, 4372, 6615, 2004, 3387, 5735, 3278, 3152, 4188, 7568, 3903, 2267, 6020, 3614, 5366, 1147, 9354, 6797, 7137, 1494, 6361, 6279, 1047, 2608, 8201, 8162, 2674, 3818, 3542, 5789, 8189, 1786, 5865, 6403, 4095, 8064, 2795, 6951, 9320, 7091, 2949, 11, 4352, 1946, 9513, 166, 6807, 3366, 7045, 7871, 4465, 8924, 5361, 1894, 2920, 5899, 6307, 5728, 8938, 2075, 4304, 5097, 486, 8729, 2008, 646, 535, 6909, 4082, 7529, 9008, 260, 1667, 4521, 8206, 8996, 5443, 7839, 7411, 9157, 534, 5927, 9697, 1303, 1540, 4194, 405, 7952, 4675, 1437, 3331, 6444, 4132, 4406, 9857, 2943, 1254, 1350, 1346, 1247, 2797, 5945, 9465, 8873, 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1311, 146, 1448, 7471, 506, 8992, 5880, 4030, 6708, 5217, 1357, 1177, 3330, 7235, 1433, 7551, 6620, 3127, 4704, 7007, 6465, 2014, 9107, 1731, 662, 3943, 3224, 9717, 6874, 7259, 8155, 8564, 2430, 6201, 3820, 9879, 2538, 9440, 1368, 2387, 653, 4624, 5513, 7504, 8617, 4767, 7107, 7006, 3403, 8695, 2087, 7121, 4481, 9959, 4329, 3712, 9117, 4414, 5083, 7570, 1903, 3723, 246, 2934, 8675, 290, 3135, 3688, 5622, 1967, 6312, 729, 5157, 3437, 2385, 5634, 4037, 510, 945, 5239, 666, 2783, 5980, 3320, 8447, 2151, 4429, 2609, 8741, 3003, 7651, 7027, 6082, 263, 7703, 6027, 6611, 482, 7986, 2569, 1503, 120, 762, 2630, 5232, 6948, 3324, 5823, 803, 2082, 1121, 297, 1560, 1220, 5053, 206, 160, 3832, 172, 8717, 1799, 1859, 2464, 4994, 3178, 1133, 4205, 838, 9282, 4560, 48, 7727, 5263, 345, 6388, 7404, 2772, 4175, 5332, 5320, 2632, 602, 5308, 6595, 2884, 5570, 3332, 4149, 3313, 8623, 8351, 464, 9519, 6293, 823, 953, 9540, 8885, 8814, 3082, 2136, 229, 659, 6914, 457, 278, 2935, 6437, 9187, 7649, 1581, 7659, 6896, 1314, 378, 2117, 5206, 9639, 3269, 3406, 317, 6878, 9932, 2888, 9752, 6153, 4569, 8954, 4673, 6360, 8050, 789, 152, 9413, 7444, 9539, 6076, 2849, 8437, 5985, 746, 4952, 8934, 5496, 8501, 1582, 6230, 7900, 7415, 9306, 1756, 5936, 348, 1884, 8807, 178, 2195, 5088, 1021, 2389, 7660, 6512, 2741, 2556, 1393, 4763, 1361, 6422, 3578, 8830, 4733, 8057, 8011, 8865, 3181, 2587, 8980, 9606, 2292, 8806, 6390, 956, 7307, 3474, 6892, 8788, 9216, 7047, 3184, 9070, 2429, 3731, 4180, 4326, 5624, 189, 6349, 7030, 8060, 5076, 3143, 4115, 3168, 3624, 7543, 6263, 676, 8890, 6654, 2499, 3501, 8116, 511, 959, 3668, 4828, 9350, 2098, 2966, 8586, 2564, 3157, 3790, 3401, 58, 2995, 3381, 2390, 6901, 1091, 9383, 2893, 8861, 8831, 2908, 5844, 8896, 1672, 369, 6438, 1502, 3281, 6676, 3402, 6066, 9772, 7370, 8087, 5606, 4856, 4207, 1836, 3694, 2524, 592, 8785, 5059, 7464, 8427, 1095, 9939, 4376, 7569, 6168, 3744, 4468, 5523, 3552, 7360, 4632, 1444, 3540, 6291, 4392, 4960, 2523, 8014, 7325, 3961, 6453, 6863, 17, 4602, 8919, 4064, 4768, 1533, 2644, 4525, 2942, 9810, 4610, 3153, 4927, 2583, 2110, 2855, 6355, 1662, 6549, 4566, 3031, 9152, 4375, 8527, 4917, 6063, 9870, 5138, 7374, 9800, 108, 4084, 7186, 7215, 7917, 1029, 8734, 8419, 2167, 2832, 7344, 8188, 4023, 543, 8451, 7513, 9083, 5224, 6133, 3890, 9572, 3702, 4542, 4558, 3603, 3946, 712, 3477, 6604, 5930, 9437, 6491, 3382, 4658, 183, 4060, 1396, 7536, 721, 3371, 725, 5969, 9561, 5272, 8239, 4169, 7704, 5990, 1895, 7132, 8684, 5771, 7896, 6159, 1858, 8422, 6160, 2270, 7592, 4588, 1664, 4478, 6618, 7271, 7337, 6670, 594, 2768, 1103, 8038, 9915, 3726, 9493, 4285, 2917, 5837, 1261, 4451, 8568, 4575, 8966, 9817, 5655, 7092, 4073, 7904, 8310, 5454, 6180, 2256, 9464, 810, 4088, 5144, 6371, 9966, 9651, 3147, 4967, 8612, 9510, 9665, 9099, 2925, 8379, 7753, 2505, 6841, 1766, 2885, 1046, 5490, 7438, 7798, 9210, 7268, 326, 4587, 1359, 516, 8820, 8950, 546, 4226, 1230, 3077, 8164, 258, 3586, 2562, 7139, 682, 6508, 4395, 9224, 7581, 3357, 2793, 6417, 2812, 1939, 9275, 8795, 1101, 4065, 4674, 3888, 3535, 7877, 8226, 2134, 3191, 9557, 7614, 7944, 7601, 6532, 1253, 7145, 6563, 9052, 6963, 8172, 5974, 7377, 5114, 3441, 8697, 1779, 5637, 8840, 6667, 1862, 2945, 3791, 3574, 6379, 730, 3420, 3048, 3060, 9074, 7130, 8184, 5754, 6696, 5373, 8285, 6096, 5762, 7626, 8052, 1090, 9163, 2485, 8425, 8736, 2316, 8910, 6286, 2558, 9231, 6987, 9911, 7882, 1495, 6744, 8398, 3807, 9075, 6224, 3604, 7040, 6340, 3947, 3059, 2600, 6175, 9528, 9805, 7257, 8027, 9775, 1041, 5271, 1809, 1830, 5869, 428, 8169, 7863, 9704, 9466, 5540, 1211, 2651, 687, 2406, 8709, 6459, 790, 6883, 5407, 8387, 5740, 4910, 3234, 2140, 6860, 1927, 8724, 6044, 2627, 8105, 5208, 6742, 1940, 334, 1126, 9372, 5640, 9298, 2135, 9376, 2663, 3775, 7657, 3788, 906, 259, 9767, 9533, 1530, 4200, 4861, 2101, 4328, 5393, 5707, 9785, 6639, 651, 6782, 4184, 2528, 5944, 8415, 4058, 5374, 4206, 9257, 691, 4284, 8796, 3551, 5639, 9119, 797, 1674, 2568, 8852, 7677, 8541, 3306, 8784, 5561, 3273, 4369, 7425, 2914, 8828, 401, 6739, 7742, 734, 1696, 114, 9505, 127, 8894, 1775, 8714, 6402, 9205, 1102, 6414, 8815, 7123, 3687, 3598, 6625, 5581, 3962, 1556, 6445, 4556, 4008, 8694, 2046, 3969, 2112, 1427, 1615, 5299, 4618, 4348, 6587, 3122, 8875, 9111, 7025, 4692, 447, 1459, 466, 9691, 4421, 9803, 4693, 3800, 2730, 5536, 3388, 8516, 3653, 8607, 2776, 5856, 3239, 2015, 1319, 6684, 2179, 5311, 2870, 2293, 9661, 3242, 6377, 5827, 2107, 6550, 1578, 813, 3039, 2200, 7534, 7695, 5025, 6885, 5012, 7159, 2363, 4459, 6712, 5314, 3763, 2557, 9036, 7156, 5692, 6331, 6835, 288, 5544, 3067, 2919, 2836, 5820, 1477, 2025, 4113, 2280, 8114, 286, 4441, 63, 68, 201, 1201, 9527, 5973, 8821, 6510, 9178, 7705, 4937, 5045, 3661, 9166, 680, 4316, 9303, 1791, 2206, 7632, 8743, 8940, 8302, 4419, 1348, 1083, 66, 1486, 1446, 3623, 2382, 7284, 1152, 8848, 3544, 6329, 1737, 6838, 4613, 8417, 3958, 9836, 370, 6347, 603, 1019, 6577, 6225, 7674, 3433, 562, 958, 6768, 7276, 965, 8410, 6282, 3710, 9423, 6035, 6507, 6939, 631, 6061, 2463, 2604, 5241, 5174, 8687, 4049, 7256, 7523, 3232, 4368, 2483, 4806, 6998, 5267, 6808, 9202, 9554, 1985, 1896, 6238, 1001, 8399, 3296, 589, 2047, 6648, 6405, 3305, 8123, 9926, 5370, 8430, 8476, 7933, 4531, 6298, 1531, 2790, 6369, 9001, 7053, 3987, 7862, 8119, 3711, 5864, 9432, 5354, 881, 8667, 1149, 6701, 7472, 465, 123, 5426, 6235, 400, 9871, 7061, 2239, 6165, 9508, 29, 4086, 8257, 4244, 1304, 8235, 7925, 5367, 2808, 8619, 8791, 7610, 439, 3924, 8036, 2480, 7527, 7032, 2372, 22, 2088, 7990, 7173, 8682, 8072, 1780, 302, 9207, 4866, 7179, 8726, 6843, 2998, 6802, 6815, 354, 3452, 1865, 6345, 5460, 2684, 9195, 9894, 9979, 8764, 7296, 3367, 3727, 4586, 4041, 5517, 9480, 7935, 2936, 629, 7394, 2649, 9925, 792, 9760, 4404, 485, 2548, 5647, 7744, 6092, 7136, 9633, 7112, 9483, 9418, 1011, 8635, 2959, 3014, 665, 1973, 502, 3096, 7214, 5307, 8561, 9658, 9826, 4016, 8161, 7956, 6362, 1063, 279, 9194, 9411, 1100, 9900, 9873, 5566, 9702, 8025, 3673, 9020, 273, 7547, 7222, 176, 4178, 8593, 3493, 9820, 5652, 5749, 2648, 4347, 969, 5742, 3061, 6488, 7407, 9073, 6397, 5627, 2168, 254, 9673, 7716, 5989, 3636, 7033, 5296, 5055, 3006, 9445, 84, 2931, 9692, 5596, 261, 5392, 9931, 2614, 2762, 836, 1812, 4699, 622, 9254, 5387, 6606, 1205, 3297, 5796, 9128, 9495, 8378, 9581, 508, 8913, 4070, 6501, 505, 426, 8649, 9358, 6748, 8960, 7836, 7450, 8273, 6689, 4729, 3333, 6075, 4847, 6095, 5928, 9827, 6766, 1979, 579, 7300, 1274, 2360, 970, 4688, 5094, 6221, 2859, 5497, 8292, 615, 2501, 2124, 6129, 9590, 7721, 9954, 6890, 7708, 1430, 5471, 1008, 5714, 896, 9982, 3211, 3700, 3190, 5883, 9146, 4400, 5998, 2399, 4462, 85, 3010, 4956, 2563, 852, 137, 3069, 4081, 9315, 8423, 4918, 5445, 3971, 9829, 6705, 491, 7317, 7655, 6158, 6475, 4445, 6454, 8570, 1558, 3368, 2552, 7051, 8567, 6628, 4946, 9022, 1759, 1375, 1814, 4160, 7793, 5276, 3093, 2472, 9462, 9903, 9214, 6997, 6706, 7642, 8604, 4872, 3918, 233, 9276, 6194, 8044, 9895, 6924, 7812, 3089, 4534, 7688, 9906, 1711, 9089, 9556, 5695, 4654, 9866, 7512, 228, 4859, 966, 4047, 9945, 2410, 9078, 6229, 1108, 1471, 1548, 9055, 6007, 3189, 210, 8855, 5691, 1023, 8439, 4968, 5736, 670, 7628, 6544, 3978, 9624, 452, 503, 295, 7279, 2594, 3438, 4869, 6897, 1642, 5760, 5577, 4645, 2246, 5514, 2503, 7474, 4209, 2779, 8356, 7624, 9965, 9237, 9326, 6665, 3988, 8937, 5494, 2417, 765, 8168, 6775, 7880, 2738, 384, 4824, 7359, 4841, 3070, 4417, 4142, 1633, 8780, 9641, 8948, 824, 218, 4161, 7929, 9251, 7583, 8799, 766, 5115, 7387, 1734, 463, 9885, 7855, 2100, 4322, 5611, 4568, 8277, 710, 1031, 7692, 245, 4056, 3796, 736, 2565, 9182, 3921, 1112, 2319, 3638, 7928, 372, 409, 129, 6161, 3782, 3842, 5461, 6420, 1827, 113, 3323, 5721, 8833, 9494, 5905, 327, 2695, 3886, 9586, 947, 4620, 7618, 4204, 6489, 4371, 7560, 7538, 6530, 6521, 6411, 5355, 3118, 9756, 8711, 4038, 9542, 6408, 3210, 9732, 9474, 3665, 9978, 9541, 9569, 4809, 9644, 2341, 5810, 4528, 6283, 8085, 7622, 9574, 9563, 3084, 3016, 5619, 3220, 7602, 4217, 8580, 2361, 9399, 4456, 3150, 7135, 5003, 3920, 7278, 5337, 5176, 9622, 6514, 2212, 2081, 6407, 9964, 4526, 2709, 1880, 7102, 6844, 6473, 9488, 7654, 1370, 8460, 7723, 219, 6832, 240, 1897, 7120, 7943, 8812, 7068, 56, 358, 9830, 9014, 607, 8985, 3201, 9361, 7484, 9441, 4079, 6536, 7563, 8628, 4440, 8909, 6210, 9668, 7946, 7044, 1007, 1941, 9273, 9410, 3766, 1257, 1022, 9352, 7373, 7433, 9313, 9048, 5697, 3140, 7891, 6673, 1970, 5592, 4116, 79, 6446, 528, 6476, 517, 6154, 6097, 8371, 2690, 1525, 4639, 9878, 7149, 2489, 3953, 7842, 6772, 6270, 6834, 5467, 3231, 9235, 1300, 2149, 9845, 9244, 542, 6792, 3877, 7974, 3430, 1320, 9585, 6651, 5940, 8773, 1592, 7175, 5236, 6359, 6927, 4974, 6364, 9065, 5705, 8046, 6905, 7346, 2068, 6410, 3458, 1552, 7049, 5708, 4546, 1208, 4259, 7435, 1795, 4283, 8923, 4483, 475, 95, 2036, 253, 8386, 9269, 2313, 9138, 5613, 140, 7076, 8988, 2767, 7087, 9087, 678, 6343, 3936, 5572, 9525, 1210, 5720, 9420, 8428, 6937, 6147, 4717, 8063, 6969, 9043, 1278, 2958, 7452, 374, 6262, 7611, 239, 6381, 243, 3404, 5862, 6872, 265, 9201, 9548, 4833, 8463, 6675, 6658, 7927, 7155, 5379, 1987, 111, 1398, 5101, 8804, 1372, 4136, 9605, 7750, 1344, 7803, 978, 2375, 1330, 5906, 727, 1173, 2233, 8951, 3593, 2209, 3703, 3151, 296, 198, 3899, 1797, 5219, 3410, 4939, 6104, 9340, 872, 2806, 1165, 462, 8818, 8908, 7, 7005, 2413, 7396, 6757, 2527, 4931, 4277, 6285, 6632, 8212, 4386, 780, 2113, 7285, 4599, 6763, 625, 6704, 9317, 7819, 4538, 3850, 2121, 2222, 4746, 8003, 9905, 3318, 488, 7873, 3845, 3713, 4776, 7237, 5699, 513, 8154, 2383, 2534, 8722, 9786, 9669, 9893, 9722, 7405, 4040, 2599, 9614, 4713, 863, 6941, 4898, 3613, 9629, 8595, 7289, 9321, 9608, 467, 8579, 9901, 9158, 300, 2547, 8339, 7038, 5294, 9103, 9969, 7260, 5456, 3806, 4669, 6015, 9643, 6647, 3632, 8748, 461, 9497, 7333, 6524, 718, 5625, 9725, 7372, 5642, 7196, 544, 5878, 4810, 9753, 8817, 7879, 3302, 9016, 9773, 735, 9504, 585, 9768, 7304, 5342, 4433, 9150, 7737, 7265, 600, 7763, 4508, 7295, 8569, 5819, 177, 4101, 2452, 42, 7275, 8651, 3852, 4470, 4966, 6115, 7205, 9127, 8590, 9324, 12, 8120, 5438, 6239, 6864, 1761, 3416, 7036, 9620, 5172, 6787, 3103, 7400, 8680, 7178, 9436, 3308, 9955, 895, 6693, 6467, 9957, 9332, 8887, 4605, 7658, 3580, 2116, 9459, 7606, 1285, 7097, 1937, 3871, 5599, 331, 4199, 7176, 344, 9096, 1790, 8505, 7818, 3024, 7844, 3798, 1419, 8510, 4564, 7071, 9943, 3001, 8306, 6602, 9330, 179, 9757, 8659, 6847, 9719, 3758, 7555, 9579, 450, 3838, 6605, 4973, 4686, 6367, 2326, 7691, 4408, 2735, 4104, 443, 9746, 2889, 3476, 8978, 9648, 8354, 4606, 3657, 7223, 2937, 5336, 7099, 4904, 8117, 8584, 8715, 3612, 8904, 6074, 7003, 668, 1366, 2947, 4025, 3348, 5995, 2844, 2566, 7358, 4159, 6295, 6019, 9217, 9852, 643, 566, 9485, 4085, 8039, 6179, 9659, 9492, 9721, 200, 3509, 8610, 8113, 3412, 4972, 5188, 5069, 9983, 6504, 6974, 1847, 1192, 323, 4977, 9409, 6865, 8024, 9687, 3972, 2436, 8641, 7789, 3270, 6737, 1256, 5293, 6325, 9018, 6249, 7184, 9502, 9415, 3204, 1512, 4579, 555, 197, 368, 1411, 8518, 9196, 8571, 9422, 9185, 9390, 6637, 3979, 365, 1631, 5411, 5535, 6854, 4131, 7207, 6522, 437, 7822, 6539, 8936, 4453, 315, 2733, 6783, 6111, 8900, 6338, 1169, 9168, 3837, 9045, 9804, 9223, 9876, 8380, 9511, 3778, 4854, 6498, 330, 9336, 9400, 5082, 9855, 4875, 7054, 6709, 8512, 7683, 4844, 8220, 8673, 9367, 724, 7709, 8183, 3473, 8217, 9351, 8747, 1684, 283, 5981, 2298, 1378, 6725, 4241, 340, 9245, 9583, 9599, 128, 9922, 5554, 9284, 1617, 4185, 2835, 7190, 2513, 3568, 2502, 3066, 9327, 4793, 251, 8480, 8672, 3811, 8881, 9934, 8884, 2299, 9708, 4002, 6938, 9455, 9323, 4098, 9552, 9650, 581, 3217, 1735, 8294, 2301, 7152, 9106, 4405, 2248, 2529, 7050, 7576, 4823, 993, 8774, 9745, 9762, 257, 9837, 1798, 5472, 9595, 3547, 9550, 7066, 6079, 9601, 7609, 9887, 7153, 5121, 6492, 8531, 7923, 9695, 8141, 5942, 2349, 216, 8473, 4543, 9975, 3193, 7211, 3288, 8922, 9787, 9209, 9325, 5139, 104, 7309, 9977, 8252, 9272, 9228, 630, 4280, 8826, 8280, 6527, 4505, 7095, 8905, 3861, 6977, 3699, 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2205, 5954, 15, 1989, 5203, 4036, 351, 2531, 6800, 7613, 2128, 1728, 5448, 1368, 5345, 4157, 3631, 3664, 4730, 6877, 5673, 6780, 1724, 3130, 1437, 1666, 6742, 5722, 100, 974, 1767, 9120, 1584, 879, 384, 4589, 791, 6649, 6126, 8800, 3801, 7287, 5830, 4947, 5429, 702, 5037, 6216, 2307, 7663, 876, 5242, 5225, 5783, 1106, 2224, 3528, 5803, 8785, 4252, 3555, 7233, 4716, 2718, 1835, 4013, 3439, 6555, 3376, 3571, 4910, 7675, 807, 1328, 4195, 299, 2558, 7972, 7028, 4293, 153, 7000, 3556, 4355, 3888, 5463, 3873, 7806, 3119, 7002, 1483, 1505, 4915, 1653, 2093, 8208, 4741, 7437, 1747, 7034, 5196, 6946, 9166, 8940, 8271, 4212, 1447, 5248, 3326, 4253, 5107, 8839, 173, 4830, 1966, 3349, 3102, 5611, 5799, 4204, 2352, 4167, 2287, 2412, 4696, 8072, 919, 8324, 1452, 6589, 7350, 8894, 981, 2410, 8029, 5658, 9186, 4491, 2322, 4862, 7436, 152, 6978, 2737, 5190, 4516, 25, 4501, 1188, 6060, 3869, 3790, 254, 6558, 5403, 1774, 596, 8165, 1224, 9943, 3049, 5093, 6197, 4987, 6666, 3044, 3780, 8388, 367, 4461, 6750, 8000, 8266, 7556, 3172, 369, 3532, 7882, 3973, 3467, 7817, 1209, 5913, 1926, 3236, 3055, 3601, 2085, 4349, 911, 6017, 5179, 1216, 8846, 9084, 8447, 1012, 4851, 5728, 2148, 7983, 5004, 5062, 8574, 5019, 2341, 7249, 5826, 8898, 660, 330, 372, 4745, 5006, 5703, 5929, 8055, 2019, 7768, 1360, 6615, 4158, 4727, 1185, 3442, 8347, 2334, 1246, 140, 2371, 3325, 7018, 8216, 7310, 1259, 828, 8757, 4300, 1117, 430, 6967, 9180, 7339, 905, 8786, 1312, 8454, 2120, 1849, 2281, 1623, 7666, 5291, 1559, 7085, 7258, 3975, 3101, 3057, 5382, 572, 5859, 6037, 1137, 7682, 5846, 4695, 8163, 5265, 4781, 3940, 8797, 6124, 788, 9013, 7942, 4334, 4769, 6769, 8144, 4963, 4656, 1124, 929, 7593, 1971, 4666, 5108, 6106, 877, 1262, 3457, 6176, 4825, 3089, 8975, 1608, 2894, 5325, 8902, 844, 4907, 8322, 5321, 5587, 753, 4194, 1176, 3878, 5875, 7144, 64, 6731, 6418, 1635, 3596, 1861, 3821, 6551, 3938, 1325, 3037, 4122, 5260, 5035, 6994, 1197, 1430, 1993, 3021, 5405, 7510, 2078, 6232, 2521, 7475, 400, 5943, 2853, 6199, 2661, 8875, 1347, 108, 2308, 3500, 1318, 1629, 2515, 826, 4432, 7455, 9116, 1026, 6824, 2306, 6736, 4926, 8191, 221, 4374, 464, 7796, 3405, 3174, 6776, 3077, 2153, 6087, 6026, 5996, 119, 638, 5297, 5841, 3647, 307, 9173, 6907, 5442, 6274, 5102, 8968, 8475, 4799, 1646, 3749, 4045, 5335, 8990, 163, 6954, 923, 3233, 2161, 5589, 3581, 3634, 2819, 6490, 3094, 5809, 3159, 3839, 1673, 878, 6179, 8267, 6360, 3145, 3429, 6793, 3977, 2391, 7094, 5631, 1072, 1977, 5873, 3981, 1920, 6244, 1701, 7661, 8912, 7353, 7226, 1765, 4266, 5211, 736, 3671, 8781, 1693, 6045, 5709, 5610, 2351, 3927, 3220, 5979, 1037, 3674, 197, 2576, 1707, 5861, 2974, 5162, 75, 7499, 8204, 5338, 4583, 7685, 5518, 6008, 4001, 1089, 1842, 5952, 2495, 316, 4558, 8223, 1542, 6151, 6810, 5958, 2629, 4196, 1572, 7553, 84, 4590, 6601, 7186, 6404, 1123, 1221, 5537, 8407, 5199, 2086, 5971, 626, 386, 6870, 2653, 4367, 1385, 6374, 6287, 558, 8229, 3154, 2013, 7984, 304, 6494, 2669, 2001, 6975, 4846, 5852, 5811, 4870, 1363, 1616, 9305, 5488, 5855, 4398, 2448, 3297, 903, 2402, 6231, 6823, 8453, 4623, 7010, 4761, 7109, 1694, 6577, 2240, 2688, 4822, 4779, 8918, 7133, 2805, 2957, 4743, 5927, 5480, 52, 4710, 5685, 7227, 2803, 5960, 1028, 5903, 8308, 798, 2837, 8676, 4117, 321, 7099, 9019, 5747, 707, 1886, 3283, 4363, 1180, 6917, 5233, 9077, 8859, 7644, 1570, 9011, 6730, 5849, 6627, 642, 7495, 560, 103, 7089, 7486, 3591, 2406, 2922, 8849, 8708, 5142, 1462, 1327, 5734, 1529, 4051, 8103, 6536, 721, 132, 1013, 122, 2485, 6468, 1576, 789, 2802, 3150, 8766, 1475, 6302, 2374, 3289, 6894, 4681, 8115, 3253, 6292, 2921, 305, 3136, 3209, 5439, 3792, 3464, 6890, 6752, 1606, 5650, 7216, 6728, 6733, 2620, 3740, 7126, 4839, 6267, 3956, 6756, 909, 6934, 4447, 6084, 6668, 482, 9826, 5383, 3166, 6805, 8018, 2995, 9153, 3590, 253, 2398, 1782, 3, 1440, 8480, 5892, 7462, 6396, 1118, 9046, 2769, 5451, 5870, 1153, 5186, 2404, 2883, 141, 9038, 2384, 7073, 1191, 5200, 187, 3875, 812, 910, 2517, 5054, 2115, 1152, 4262, 1805, 2781, 2424, 5282, 4173, 5423, 4557, 3422, 6677, 709, 692, 4630, 2110, 951, 2999, 8130, 686, 4011, 5234, 885, 4109, 6191, 853, 1689, 3817, 955, 8041, 3121, 6373, 4508, 1950, 5636, 3857, 2131, 8556, 3898, 2156, 2671, 8309, 5430, 4808, 5152, 4125, 1518, 8418, 3397, 225, 3122, 3997, 5284, 8367, 1449, 8915, 1580, 7221, 5994, 1255, 7116, 3436, 1959, 3002, 8669, 2453, 5798, 6542, 8406, 4416, 5614, 6893, 3471, 4006, 4457, 7301, 3648, 4551, 422, 3846, 1334, 2660, 2204, 5499, 5184, 7937, 9136, 3840, 2344, 3606, 4524, 2028, 2184, 5398, 8443, 1463, 8329, 3889, 5567, 4648, 1284, 7417, 5075, 3498, 2097, 7336, 2213, 1406, 3270, 7694, 3629, 887, 1763, 415, 8278, 7936, 334, 3789, 7894, 682, 9034, 320, 774, 2507, 5806, 1700, 6534, 9093, 1603, 7445, 5066, 6250, 4832, 3993, 750, 2216, 6348, 217, 6700, 1780, 5280, 356, 5478, 2189, 6054, 3163, 7522, 5683, 6773, 1549, 4251, 7743, 898, 6796, 3214, 4628, 1098, 5833, 2125, 5444, 2405, 1316, 4566, 688, 1178, 5812, 3278, 617, 2286, 4144, 3756, 2249, 4804, 6671, 150, 8916, 469, 6290, 2030, 6944, 8646, 7172, 4394, 4442, 4788, 4311, 5401, 4678, 89, 1890, 82, 2269, 8664, 1311, 4046, 3263, 6326, 3303, 3225, 6889, 2177, 8243, 1448, 5662, 5694, 6321, 3499, 1575, 6036, 6099, 7853, 3390, 5967, 6089, 7370, 6471, 2813, 3112, 4614, 7477, 772, 8981, 1727, 4057, 2748, 5109, 1736, 392, 3772, 9092, 4684, 7795, 565, 567, 4643, 7621, 3299, 3076, 9039, 2535, 7563, 1945, 5277, 2997, 7813, 8886, 3895, 2254, 7909, 4044, 5772, 2879, 8134, 1302, 6117, 5290, 2238, 4165, 7648, 7232, 8798, 4424, 3277, 1609, 2225, 6867, 8240, 4553, 7110, 6538, 618, 4268, 1877, 8251, 1550, 8535, 7340, 5838, 1416, 8150, 4422, 7778, 7702, 4819, 6764, 3580, 1790, 1991, 1892, 3213, 1677, 5693, 5487, 543, 4012, 3275, 8031, 2139, 2465, 6765, 5269, 4917, 8710, 2145, 3841, 3799, 7219, 6932, 1619, 1399, 212, 6164, 9534, 2522, 5555, 7318, 8695, 6121, 7847, 538, 4868, 6177, 2335, 4509, 1566, 7589, 669, 3019, 3418, 745, 7032, 1450, 3770, 2872, 7406, 3549, 7011, 2796, 8382, 6242, 8202, 1942, 8146, 4775, 5513, 2309, 2354, 3646, 5804, 2418, 5016, 4071, 6386, 7502, 2070, 3024, 1769, 2703, 1878, 6382, 561, 2581, 4676, 4299, 4358, 1338, 5166, 6496, 2996, 143, 4965, 364, 7541, 4497, 1453, 3139, 7162, 2422, 6202, 3640, 9050, 6320, 6010, 3286, 4933, 4691, 6543, 855, 2551, 6085, 454, 3809, 3483, 979, 770, 808, 6479, 3815, 3454, 717, 3020, 1323, 4979, 6311, 5600, 7901, 1164, 738, 8635, 5459, 1352, 9590, 6344, 2457, 1067, 4269, 5774, 1396, 4535, 12, 5170, 3732, 5091, 1655, 7733, 7910, 2828, 805, 1538, 5978, 6499, 5145, 1168, 343, 8325, 1393, 5863, 2277, 6726, 3880, 9125, 1620, 3942, 9174, 5452, 6291, 6686, 8578, 379, 8725, 5786, 8230, 1742, 8085, 5646, 5635, 1721, 6714, 4646, 8063, 7934, 491, 1879, 377, 5416, 9785, 6804, 6425, 3822, 8511, 2679, 5504, 6986, 7511, 7596, 2000, 1443, 2395, 704, 4054, 8269, 7360, 6691, 3017, 4879, 7544, 1901, 7916, 8089, 3948, 5038, 3931, 4964, 7365, 6919, 4616, 3290, 8565, 9090, 888, 5908, 2009, 102, 2218, 5963, 1565, 7987, 861, 3844, 6821, 7645, 4415, 7840, 5425, 1621, 2098, 7347, 8282, 5434, 4612, 2345, 6614, 899, 3484, 2035, 357, 2973, 8970, 7800, 6245, 3186, 1418, 3890, 7767, 8053, 722, 867, 37, 584, 2468, 697, 2658, 2227, 1460, 1267, 8270, 6103, 8078, 7780, 2060, 1474, 5993, 7875, 8026, 4402, 1125, 4956, 6746, 1350, 5794, 4232, 739, 8564, 8358, 1166, 5195, 3022, 3432, 361, 4428, 1614, 4644, 1824, 5560, 2537, 4903, 8982, 8148, 2475, 2674, 9169, 900, 8104, 2852, 841, 2714, 8468, 5968, 5790, 2136, 737, 7512, 2731, 8802, 5315, 8594, 39, 3238, 6660, 434, 4018, 4500, 1423, 374, 6822, 5183, 5515, 7440, 4062, 809, 1079, 6572, 7700, 6857, 5711, 4826, 6715, 4625, 9025, 3879, 1062, 3741, 8506, 3787, 6952, 5717, 3995, 3505, 8498, 294, 2285, 5754, 3903, 7720, 600, 3662, 8961, 347, 522, 6307, 545, 8755, 8332, 349, 4780, 4736, 1305, 7088, 4941, 3155, 3132, 3216, 6059, 6762, 4824, 5328, 3373, 8083, 6032, 1949, 8135, 6058, 7427, 7573, 2932, 4702, 1113, 6336, 2117, 9109, 5679, 8051, 7071, 9194, 5506, 4897, 5653, 725, 5381, 7998, 1854, 2118, 7584, 4657, 8286, 6305, 4388, 6711, 3180, 6855, 667, 8462, 817, 3812, 7434, 7518, 557, 5000, 7315, 7151, 206, 2768, 534, 4270, 8857, 5924, 6083, 3576, 5651, 7077, 6002, 1061, 2251, 220, 1239, 1229, 8572, 1690, 7884, 2608, 4604, 6836, 5517, 2603, 7599, 4762, 3222, 1306, 5593, 2548, 606, 3656, 4021, 8088, 8581, 2059, 7590, 6048, 4951, 269, 9156, 1251, 4094, 2445, 8643, 3867, 3767, 8615, 4464, 3298, 8972, 5733, 2761, 5202, 1946, 8263, 1839, 6734, 6098, 8102, 4249, 6902, 3695, 5433, 7459, 2104, 1355, 9206, 3785, 6342, 6033, 1086, 7306, 5511, 1837, 6795, 6617, 3681, 74, 7810, 3725, 7323, 6012, 3249, 6268, 7361, 2108, 6926, 1627, 2841, 7461, 9749, 2386, 4758, 4555, 598, 2231, 9912, 852, 740, 4492, 991, 6816, 9115, 7181, 2597, 6016, 2471, 3396, 144, 7366, 5644, 2353, 5542, 850, 1459, 9954, 5178, 5268, 5918, 8450, 6667, 9211, 4141, 4257, 6778, 6557, 8283, 2382, 8878, 5793, 5847, 3255, 966, 6100, 5768, 2645, 8357, 76, 6111, 1551, 5064, 6645, 3365, 2327, 6162, 2020, 8185, 6607, 7245, 7004, 1938, 7104, 4340, 3347, 6698, 8842, 8662, 1223, 2273, 3268, 6871, 2305, 3190, 5880, 3486, 2659, 566, 5095, 8907, 6568, 6453, 599, 5047, 6622, 2300, 6719, 5032, 6315, 1371, 1403, 3654, 7065, 5766, 2364, 8402, 7236, 30, 3091, 3697, 802, 7150, 5018, 4296, 280, 8403, 6243, 1001, 7324, 5532, 2518, 1911, 3095, 5932, 5576, 4791, 7922, 7858, 1300, 3682, 4887, 6826, 2720, 7735, 3988, 1822, 7829, 4894, 8944, 507, 940, 4515, 5330, 341, 1798, 3776, 5761, 2372, 5784, 5292, 1866, 6761, 2906, 2734, 230, 5753, 2326, 101, 6065, 500, 5800, 318, 1891, 6076, 8199, 5017, 8740, 1228, 5701, 2359, 7092, 8611, 8368, 5630, 8300, 2716, 4427, 2929, 821, 1678, 6049, 1401, 8069, 942, 4675, 3360, 1934, 1986, 4017, 2389, 1324, 4990, 8112, 5022, 7893, 2526, 1349, 5905, 4840, 5623, 5365, 5286, 58, 2822, 5523, 5128, 168, 7283, 8176, 8195, 5500, 1642, 8874, 5390, 3068, 3073, 2561, 3015, 3135, 7061, 6851, 3437, 8840, 6399, 6502, 2991, 1749, 4065, 3056, 114, 4522, 4513, 4111, 5823, 2481, 6093, 5467, 3947, 1056, 7496, 2042, 5007, 2717, 1734, 579, 5665, 9076, 8108, 2798, 4906, 204, 6980, 7712, 1048, 6485, 6970, 806, 3859, 5910, 6227, 1215, 7710, 2878, 6051, 6936, 2459, 338, 6956, 2727, 3825, 7636, 1893, 3221, 781, 1387, 7326, 9199, 5036, 5822, 4967, 603, 3371, 3696, 5424, 7100, 5135, 8602, 801, 8603, 804, 5081, 3727, 7966, 4728, 831, 6262, 5079, 8478, 8704, 5317, 8665, 7328, 7907, 1421, 3488, 586, 6539, 9725, 5836, 7250, 6286, 272, 8207, 549, 9018, 1540, 227, 7383, 6266, 8547, 1585, 8019, 4647, 1482, 769, 5479, 6942, 7906, 4635, 6644, 884, 1269, 8002, 6831, 4876, 6638, 8361, 2654, 6398, 1654, 6999, 701, 3178, 4410, 2740, 7375, 8568, 4615, 3378, 2183, 4466, 8997, 5771, 3689, 2899, 4298, 3284, 1481, 8661, 5552, 3428, 2171, 619, 4577, 685, 7376, 7591, 4968, 5739, 7978, 1275, 7251, 7730, 49, 3620, 7918, 6183, 4860, 6947, 7129, 9462, 73, 61, 7431, 3783, 7038, 1445, 7709, 4805, 5231, 9129, 5580, 714, 3243, 3779, 3754, 1073, 1656, 2243, 3351, 2014, 6498, 8690, 6950, 7448, 1367, 6477, 8737, 8837, 6067, 5003, 4834, 8326, 7635, 3265, 5923, 4689, 3573, 8573, 2175, 7546, 504, 4812, 5372, 583, 9193, 2780, 2155, 2840, 1811, 1310, 5349, 6576, 5377, 3306, 3054, 4414, 388, 4789, 4665, 3930, 6184, 9080, 3994, 5060, 7268, 208, 5011, 3876, 1245, 8946, 7985, 7714, 6306, 8062, 4418, 672, 4700, 8175, 8385, 3456, 1174, 8876, 4341, 2566, 932, 1691, 2817, 1024, 1725, 6654, 6239, 6784, 5299, 7112, 7687, 8620, 3967, 1557, 5468, 7193, 6171, 6744, 6149, 676, 3693, 4774, 7428, 117, 7514, 2984, 8133, 7864, 4043, 7154, 1600, 1454, 236, 559, 6178, 5023, 6434, 6270, 5218, 8106, 6193, 4092, 93, 4588, 4231, 1, 5951, 783, 4980, 417, 2861, 2024, 8158, 455, 6220, 2087, 982, 6709, 4210, 4722, 6140, 7930, 3900, 298, 4431, 8098, 5966, 8787, 926, 3535, 6447, 4186, 680, 4385, 8585, 2082, 8630, 5911, 1122, 2325, 5964, 6648, 6312, 6131, 2072, 3033, 9054, 1954, 3564, 7897, 631, 1509, 2924, 3745, 6875, 1980, 6430, 4239, 3476, 1078, 3162, 1150, 3375, 6852, 5464, 6623, 7247, 2696, 5503, 2940, 1762, 8236, 6309, 3506, 5393, 582, 3659, 4376, 6409, 516, 151, 4304, 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1364, 4901, 1066, 7070, 2452, 5417, 6224, 4765, 8296, 2628, 3223, 1733, 891, 7697, 6491, 8079, 285, 1577, 7662, 1513, 258, 6984, 6474, 4998, 897, 2106, 4439, 4222, 4921, 634, 988, 1825, 2943, 8790, 1252, 6444, 595, 3758, 7042, 5470, 8772, 7304, 6548, 3199, 2123, 1555, 1417, 172, 3734, 6078, 3104, 8004, 7125, 9934, 8224, 6721, 3226, 1501, 5024, 939, 198, 5748, 8268, 3280, 1182, 6387, 7752, 3742, 4592, 795, 661, 1794, 519, 1313, 3085, 6277, 7079, 4996, 3856, 2538, 359, 2271, 4581, 3304, 6511, 7412, 3200, 3860, 4575, 8942, 2775, 8734, 2228, 8331, 9068, 1315, 5520, 9441, 7075, 4721, 3165, 7159, 2788, 1457, 9602, 1965, 2158, 3051, 2102, 1785, 5283, 7564, 758, 816, 2291, 3125, 1537, 2242, 3530, 2049, 6763, 7166, 5353, 2007, 3672, 8244, 7533, 956, 5595, 4411, 2250, 8255, 8281, 7337, 4058, 9716, 6247, 2579, 4908, 8962, 1687, 7862, 7395, 4639, 7634, 3481, 1645, 7338, 85, 1634, 5198, 2315, 5384, 3723, 3370, 6293, 6285, 4254, 6844, 6566, 1053, 2631, 3710, 6013, 997, 5254, 8005, 3968, 4024, 621, 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7039, 1515, 8632, 8794, 9003, 505, 431, 1884, 8045, 8179, 5991, 8427, 5494, 7986, 22, 3976, 5212, 2634, 8303, 9214, 4460, 3688, 6583, 439, 7248, 6747, 3000, 635, 6139, 3719, 6888, 6861, 9063, 8696, 5077, 9357, 1912, 7992, 3624, 4436, 2811, 6433, 8122, 9951, 2433, 5672, 6681, 7851, 8022, 41, 8056, 4370, 2259, 7560, 98, 5865, 5581, 8864, 8401, 2692, 6829, 6885, 4586, 6921, 7167, 1973, 7460, 9402, 8489, 8718, 6009, 8728, 4873, 7624, 2951, 3543, 8090, 5853, 5354, 4966, 7372, 1110, 4000, 5369, 5649, 435, 5746, 1809, 6132, 9110, 7885, 3816, 2706, 3820, 3372, 7574, 5034, 4685, 9140, 4770, 5308, 5209, 2455, 8221, 6768, 1868, 9413, 2900, 2068, 6437, 5583, 5912, 8841, 181, 8964, 2421, 4856, 70, 2214, 8760, 7761, 647, 4985, 3086, 178, 3589, 7902, 3561, 5851, 2021, 4861, 1713, 1171, 7660, 4328, 2536, 2497, 1907, 4759, 7225, 4866, 1446, 1988, 5510, 2708, 6416, 2201, 3431, 7791, 4450, 6113, 7354, 4864, 1894, 1737, 9333, 2146, 4285, 7919, 6820, 503, 6818, 4312, 8973, 9137, 814, 335, 8855, 4726, 2505, 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3152, 1327, 6551, 3379, 543, 2837, 1847, 1885, 6821, 4979, 7663, 1120, 3195, 8391, 1678, 7141, 6100, 1610, 7361, 1376, 3245, 8752, 7875, 3056, 5183, 8245, 4987, 2601, 2446, 6357, 3353, 2236, 7811, 7868, 4553, 2729, 6991, 5856, 8032, 2484, 5900, 6317, 5908, 3664, 2169, 1535, 3200, 8402, 2175, 1839, 1845, 857, 8335, 950, 5223, 2164, 3602, 8753, 1843, 2303, 5717, 4463, 8776, 2042, 1672, 2921, 7283, 2694, 2539, 8669, 3142, 7922, 843, 6423, 9129, 4663, 2161, 3255, 559, 2645, 1983, 4955, 7218, 1950, 771, 1049, 2618, 6567, 139, 8345, 4966, 5325, 3188, 8243, 5077, 5151, 5937, 1360, 4013, 7440, 4032, 2128, 4582, 1304, 5231, 7311, 3212, 3121, 5951, 9317, 3963, 4829, 6543, 8800, 929, 8298, 6593, 7421, 5317, 4826, 1540, 2111, 4742, 8447, 5960, 3639, 1344, 1136, 8139, 5560, 3351, 8661, 7755, 4882, 6919, 1315, 2167, 3819, 6761, 1091, 209, 4469, 49, 3814, 851, 2106, 8083, 6918, 8523, 1442, 7949, 4253, 3058, 3202, 7336, 6515, 7985, 3071, 2780, 8639, 4296, 3647, 7976, 7770, 1325, 4074, 974, 9173, 3940, 7994, 8561, 9421, 7575, 7096, 8271, 182, 5237, 5783, 1293, 3894, 5867, 5510, 4950, 3897, 4781, 7621, 871, 2465, 1393, 2801, 4020, 6568, 3928, 8437, 6356, 1452, 211, 8103, 7513, 1624, 6680, 2247, 5215, 9210, 3817, 6284, 8189, 5093, 5748, 708, 1176, 4001, 2292, 5108, 1555, 2973, 1462, 6118, 2116, 3562, 6855, 3172, 5541, 8143, 2079, 4293, 5943, 4024, 5996, 9186, 5755, 9135, 1858, 3408, 1044, 5633, 5719, 8547, 2640, 2281, 2932, 781, 1724, 6638, 760, 4557, 1871, 7624, 1634, 1961, 5912, 1666, 2775, 4701, 1369, 6800, 6448, 5870, 4026, 3776, 6260, 2888, 3839, 5175, 3004, 1519, 3553, 4905, 4753, 4507, 1574, 1385, 4791, 1191, 3714, 2078, 5932, 3809, 2376, 5195, 4078, 6942, 1014, 2570, 8454, 5131, 1268, 8444, 2981, 5929, 3451, 8659, 812, 3821, 4883, 4769, 388, 4398, 6305, 2848, 6472, 2288, 260, 764, 8367, 3497, 1763, 1579, 6523, 1571, 8088, 7891, 8073, 4948, 3573, 5269, 2847, 23, 1603, 6429, 6130, 4219, 124, 4963, 2371, 622, 5007, 1054, 8506, 3178, 6460, 368, 2105, 3889, 714, 6328, 4311, 5605, 7600, 6597, 98, 7315, 5179, 4890, 3376, 4739, 7656, 8634, 9205, 7723, 8352, 2087, 4654, 7011, 8405, 5899, 4141, 5703, 2487, 1468, 6425, 3111, 7022, 931, 5350, 2478, 4272, 2444, 9050, 6627, 3970, 8538, 4167, 3012, 6055, 4773, 3946, 2362, 3735, 2189, 3471, 2372, 4321, 1934, 9038, 5119, 294, 5242, 1177, 3749, 1726, 3110, 2924, 4341, 1075, 1213, 3322, 7330, 3780, 1460, 8897, 907, 4441, 5419, 5333, 3173, 6613, 1123, 3422, 6121, 1935, 898, 8004, 5650, 3986, 6372, 6275, 1447, 3952, 9476, 7518, 3000, 1745, 4754, 2306, 7648, 6150, 4339, 3667, 112, 4980, 4721, 3139, 9007, 4432, 5067, 6582, 6671, 6485, 7486, 3447, 8125, 8064, 3746, 8126, 8896, 396, 1067, 2231, 3054, 4075, 5833, 9120, 1550, 4846, 6471, 773, 5161, 3132, 9565, 4775, 3097, 3389, 1485, 25, 1370, 717, 1932, 5537, 1159, 478, 8802, 4600, 6358, 1966, 7986, 2369, 1167, 8648, 4046, 5015, 8939, 9116, 1900, 9458, 4319, 4479, 6026, 8079, 7085, 5487, 3673, 7590, 5049, 6574, 8242, 8309, 5102, 3968, 5233, 9298, 4912, 3409, 3846, 7908, 6984, 1959, 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5800, 1450, 5806, 1812, 1608, 2404, 1895, 595, 6094, 6084, 9082, 1569, 4538, 6054, 1905, 6788, 867, 6934, 379, 3797, 5383, 2148, 6896, 1750, 4183, 3770, 2994, 4993, 1637, 6707, 1685, 3630, 4755, 681, 8027, 8989, 1515, 7936, 7226, 5566, 1139, 4648, 3107, 3680, 3278, 7116, 3457, 692, 3754, 7029, 6051, 9397, 6399, 8594, 6614, 1601, 7984, 3504, 7216, 3159, 2934, 6690, 2647, 2224, 2415, 6190, 3912, 3596, 3994, 3697, 8059, 3397, 2309, 1109, 1388, 6002, 7779, 5919, 6867, 7310, 3385, 3711, 1407, 2009, 5018, 4851, 3101, 8239, 3977, 3880, 1479, 513, 6479, 5658, 7169, 5887, 2673, 1200, 3555, 3815, 7702, 2688, 8416, 4411, 3932, 3053, 910, 5464, 7841, 9954, 7901, 7738, 7204, 1183, 5166, 4762, 4187, 5265, 8829, 1132, 6839, 6134, 3299, 670, 7580, 3126, 1653, 8737, 6246, 2890, 5277, 5463, 3400, 4520, 4945, 2978, 1682, 8640, 4655, 7637, 6804, 2861, 4860, 1926, 8898, 4720, 7092, 626, 2439, 2883, 3277, 1837, 8226, 1919, 2096, 2089, 4684, 5694, 2405, 8270, 1421, 4889, 2108, 3369, 3411, 885, 1391, 2734, 6810, 8062, 1968, 2860, 6348, 1701, 3756, 6117, 6178, 6939, 644, 1648, 2653, 4949, 1302, 6007, 3739, 1036, 1639, 4623, 4377, 1322, 2637, 2497, 891, 2344, 7794, 5565, 1948, 5829, 3375, 1042, 6151, 9978, 7752, 8974, 2812, 4177, 3510, 6560, 6556, 8151, 7894, 2045, 1920, 143, 4157, 9058, 2249, 1732, 3942, 8874, 4356, 6257, 4700, 5351, 2364, 881, 18, 5489, 5561, 468, 4577, 3643, 8772, 706, 9077, 8468, 5788, 4730, 6736, 8818, 7737, 8991, 4288, 1466, 173, 2879, 8188, 3895, 9187, 8535, 1700, 2752, 3019, 6516, 150, 6365, 6856, 1415, 5365, 6764, 5913, 3571, 6401, 3222, 1670, 7577, 1061, 1409, 4710, 7338, 2581, 5681, 5962, 4926, 5954, 7001, 7729, 8446, 2726, 5422, 1742, 3489, 3119, 7281, 2815, 7625, 6133, 6058, 6089, 5866, 2803, 6756, 8090, 5088, 1265, 7427, 1023, 2183, 8786, 2857, 7761, 4144, 1321, 4741, 4565, 1182, 3910, 7909, 3569, 3900, 2374, 5999, 3017, 7853, 1085, 8348, 6917, 4211, 9125, 861, 268, 7471, 6162, 6242, 8505, 1386, 4199, 1334, 4665, 5847, 1529, 2434, 1335, 8031, 1352, 2214, 2017, 2967, 7329, 1418, 2138, 4795, 4616, 2327, 6278, 5767, 4424, 2, 7445, 7599, 7193, 2796, 3564, 4281, 9304, 5499, 3793, 3548, 3693, 840, 8358, 6728, 2873, 1835, 7052, 721, 9170, 5978, 2746, 7562, 2982, 7126, 3025, 6421, 2342, 158, 1904, 5825, 2048, 325, 8734, 7025, 8588, 7511, 3930, 9039, 5784, 603, 311, 6039, 2787, 2028, 2721, 30, 4323, 3607, 7687, 5335, 5614, 8410, 3165, 6254, 5296, 8995, 1872, 8174, 2450, 9085, 4023, 1117, 7420, 4734, 5966, 6822, 4723, 3859, 842, 8230, 6697, 4702, 2838, 1464, 6634, 3395, 6499, 3801, 1355, 1856, 2717, 1636, 4735, 5050, 1978, 2935, 6866, 2971, 5876, 5452, 275, 8981, 7679, 573, 1684, 3907, 6807, 7089, 3781, 9133, 2251, 8262, 7533, 1463, 8583, 5313, 4397, 4071, 3520, 2661, 6320, 5132, 4683, 2254, 2819, 5654, 4427, 1197, 7342, 4594, 6193, 6901, 6785, 2070, 6037, 2628, 5141, 1274, 5849, 1489, 287, 1949, 8290, 4646, 8286, 3198, 3413, 2440, 3887, 1174, 3373, 4933, 7670, 1860, 8326, 4738, 8946, 6569, 4212, 8078, 9891, 4327, 7124, 8213, 8453, 6333, 7958, 5186, 4375, 8615, 6660, 5122, 7088, 5603, 7938, 2946, 7541, 9568, 9019, 5704, 1953, 6781, 7476, 8365, 2494, 8042, 3662, 1671, 1354, 6746, 4054, 7847, 3865, 6986, 4443, 4892, 2518, 7236, 2277, 5416, 3033, 2727, 3590, 1458, 7189, 3338, 3443, 5886, 4885, 7502, 3187, 1024, 3390, 8622, 7091, 801, 2997, 7358, 4334, 8502, 4290, 5234, 3973, 4122, 5032, 6983, 4280, 5116, 2469, 1431, 2351, 5091, 3966, 3993, 4320, 772, 9004, 2672, 4258, 1214, 5671, 4736, 3144, 1141, 3876, 4555, 7383, 7767, 661, 6603, 5288, 1470, 4691, 3641, 5555, 8529, 8263, 8511, 1363, 7937, 3456, 6700, 2621, 4925, 5005, 2381, 2370, 5124, 5920, 3516, 9823, 3286, 3656, 4835, 5909, 3785, 2782, 3955, 1504, 6464, 835, 6290, 7077, 6607, 1134, 8740, 6622, 8636, 1343, 5400, 1644, 4924, 36, 2102, 3418, 756, 4442, 8251, 5726, 583, 4644, 6045, 6272, 1840, 6199, 4464, 9113, 3856, 4832, 4224, 3760, 5066, 5986, 428, 7884, 5628, 6103, 1942, 186, 5808, 6645, 4117, 1337, 4190, 5873, 4793, 15, 5502, 8102, 5199, 8666, 4062, 8478, 7931, 2020, 7714, 4111, 8393, 6826, 6967, 3303, 4650, 1762, 6267, 1249, 1576, 1483, 9179, 904, 924, 7040, 6734, 4198, 3824, 6048, 3444, 5366, 4843, 4387, 2033, 5200, 6705, 1864, 3228, 5459, 8357, 3787, 9912, 4886, 3484, 9024, 7133, 6172, 5268, 1088, 4266, 4500, 6708, 2710, 6805, 3875, 994, 1508, 5507, 8018, 6832, 1178, 1692, 3591, 7125, 3365, 8968, 5469, 407, 1630, 2654, 2969, 3996, 6321, 3057, 7635, 9161, 602, 5399, 507, 5674, 4509, 4545, 2711, 445, 1138, 853, 7636, 3091, 4954, 8699, 7634, 1946, 3109, 991, 4370, 2453, 7026, 4372, 7458, 787, 5391, 8050, 3207, 2912, 1878, 5927, 5392, 1891, 3138, 324, 1089, 5194, 7669, 4092, 7554, 8264, 841, 9090, 669, 4797, 3405, 7584, 1893, 1248, 6093, 5390, 4967, 6451, 8389, 1475, 73, 6670, 5857, 8, 4181, 3772, 3826, 476, 8601, 5835, 1766, 6759, 1445, 6201, 7360, 6816, 5817, 2151, 7435, 6652, 3975, 5711, 1328, 6540, 5597, 6715, 7760, 8147, 427, 2841, 4903, 8455, 6672, 5144, 3692, 5968, 7319, 1180, 7034, 3655, 6718, 6853, 5641, 4549, 2034, 8985, 4252, 5594, 5030, 9853, 6975, 2736, 5838, 815, 8450, 413, 4044, 5284, 8807, 4298, 7743, 5892, 5713, 7058, 2125, 2996, 7786, 2397, 6893, 4067, 6724, 2198, 9467, 676, 5530, 6778, 4965, 5779, 8300, 4282, 2131, 1384, 8520, 6083, 9071, 8324, 3512, 9625, 9094, 423, 5079, 732, 2668, 942, 8137, 1440, 5020, 8438, 5143, 6323, 2016, 6629, 3487, 5552, 1522, 9762, 3095, 5672, 3617, 1244, 3898, 1106, 4264, 4503, 5085, 6667, 5349, 3915, 1068, 1542, 5580, 345, 7004, 6956, 7054, 1216, 7423, 4162, 7535, 4437, 1621, 3114, 2868, 1712, 6894, 1266, 3658, 2156, 2333, 5331, 4466, 4651, 5164, 3455, 7568, 5546, 8279, 3486, 3183, 4254, 5586, 5673, 1221, 3669, 75, 5348, 806, 2899, 4465, 8227, 3878, 5692, 3223, 7432, 7255, 5112, 7804, 306, 5205, 3162, 9139, 5553, 6784, 4385, 114, 8631, 7685, 2911, 328, 1628, 8803, 371, 3855, 525, 6398, 4158, 1071, 2458, 8629, 2659, 6754, 5177, 4515, 3160, 533, 6557, 1623, 8200, 6687, 1981, 5098, 2035, 3869, 3549, 3137, 5584, 8497, 6033, 7814, 1281, 4069, 339, 3454, 534, 5630, 7197, 5418, 8893, 8160, 6961, 5709, 2716, 391, 7041, 4516, 1690, 2049, 8858, 8130, 8847, 8992, 5547, 2391, 8565, 846, 5653, 8519, 8466, 8109, 3262, 5087, 9206, 5542, 671, 3588, 5956, 7259, 6902, 509, 547, 3155, 6554, 2273, 2740, 7392, 821, 5211, 8269, 1951, 7357, 4675, 8236, 8662, 707, 6266, 4725, 1104, 5165, 3671, 8223, 4774, 1520, 1828, 3701, 803, 5698, 5701, 6220, 5661, 2243, 1649, 2546, 2485, 7057, 7659, 3261, 3388, 1245, 4765, 8303, 3767, 9169, 4879, 1443, 6373, 5040, 1135, 900, 7371, 8150, 4535, 5491, 5826, 7797, 3044, 4978, 8479, 2828, 7589, 3105, 7751, 6324, 1307, 1493, 2608, 6589, 6326, 7496, 944, 6005, 9315, 972, 2533, 3872, 5140, 2535, 5798, 6098, 7028, 6006, 7101, 5283, 5039, 7263, 1317, 3563, 4858, 1986, 982, 876, 5207, 8118, 6375, 1356, 273, 1194, 2777, 6624, 8982, 7826, 3074, 2297, 6280, 3038, 7459, 8611, 7384, 8254, 883, 7487, 6636, 5198, 2406, 1626, 1228, 7158, 8266, 1771, 4255, 9017, 6145, 964, 2745, 5192, 8910, 2346, 2394, 3791, 7907, 1057, 4197, 9305, 7556, 1886, 1319, 1849, 5971, 8071, 6570, 1721, 9372, 2337, 8322, 5774, 8052, 500, 7428, 2722, 6611, 117, 990, 2054, 6366, 6334, 3343, 1909, 493, 2933, 5523, 7865, 2029, 1193, 5060, 808, 8830, 3882, 1774, 634, 9153, 879, 1428, 180, 473, 6052, 2203, 4358, 4913, 1040, 7813, 6601, 5832, 1092, 8942, 2213, 440, 7869, 1496, 8931, 7444, 5084, 9212, 6124, 5761, 4355, 2155, 7664, 9046, 7217, 8907, 1962, 374, 183, 2395, 6958, 789, 4643, 5046, 6852, 377, 398, 4745, 6088, 228, 5155, 4317, 3659, 1306, 6123, 4238, 9092, 7880, 3860, 6711, 6010, 9903, 7859, 4354, 1560, 8727, 4388, 9180, 2703, 5286, 8012, 2907, 5812, 1607, 8268, 3923, 8710, 3864, 4124, 1347, 8706, 811, 3326, 7376, 1602, 5664, 3265, 856, 1490, 6606, 6698, 8148, 5011, 5440, 3463, 4624, 7661, 5378, 740, 2139, 5442, 5402, 217, 2964, 4559, 3087, 7186, 6862, 1680, 231, 4414, 1799, 303, 8427, 6447, 2090, 6149, 7957, 2714, 2876, 7324, 6442, 3696, 6773, 3399, 1908, 1332, 8432, 2810, 8481, 2107, 6184, 855, 4337, 5845, 6542, 5334, 5218, 8846, 4997, 832, 5031, 435, 6394, 1310, 2639, 674, 6327, 3206, 7334, 8442, 2460, 2526, 6146, 1565, 4145, 8224, 8057, 1435, 3364, 6573, 6208, 7393, 227, 3511, 940, 5306, 2785, 4045, 7322, 1691, 5753, 663, 6013, 2114, 3502, 4364, 1243, 8795, 5071, 3556, 3022, 8152, 4664, 5511, 810, 5615, 5361, 715, 6608, 2674, 1863, 1651, 1158, 8000, 5322, 7246, 2852, 999, 2228, 6584, 8260, 2441, 5802, 3249, 385, 5746, 5417, 546, 9022, 737, 5744, 7537, 8336, 7046, 7987, 4870, 2631, 6344, 1387, 8049, 1769, 2675, 4581, 4153, 1261, 6289, 6038, 8820, 5946, 2556, 492, 5377, 1286, 7014, 5182, 6016, 2368, 1748, 6186, 4231, 4631, 8372, 6830, 4307, 2510, 2007, 5142, 6309, 4448, 8144, 152, 6677, 839, 6273, 4312, 729, 5292, 3768, 315, 1846, 7863, 731, 319, 1901, 8055, 58, 6248, 9178, 4827, 1127, 256, 1433, 3957, 7379, 132, 8754, 8035, 3377, 7573, 5203, 9134, 5470, 1765, 8577, 4688, 7989, 1954, 8704, 2522, 5679, 1481, 4233, 5134, 4668, 1575, 2626, 3989, 8961, 7796, 7514, 3430, 3620, 9054, 783, 1416, 5057, 561, 7191, 566, 5556, 3886, 1854, 3522, 9670, 2062, 4027, 3381, 2094, 4595, 462, 767, 8856, 1758, 2398, 3517, 8602, 5880, 4637, 6315, 3551, 5945, 6236, 83, 1471, 7778, 3465, 1026, 3933, 3130, 3335, 6176, 684, 8185, 5271, 1262, 4518, 3394, 1020, 4556, 4706, 1807, 6713, 7623, 2177, 7056, 1617, 4737, 536, 3208, 838, 7382, 8852, 4659, 6884, 4110, 6400, 2147, 4125, 1792, 8952, 3, 590, 4787, 163, 4901, 3732, 5503, 1087, 7809, 400, 106, 5430, 1456, 695, 5506, 3651, 1627, 293, 4029, 6926, 8921, 7107, 5216, 9012, 4674, 2166, 2761, 6818, 3431, 6040, 8804, 2448, 8917, 3301, 3226, 7381, 1967, 6060, 6480, 8632, 1151, 3227, 2123, 2083, 6462, 7438, 1658, 2742, 656, 3625, 5384, 3731, 3496, 2396, 4943, 8956, 4250, 4804, 4094, 367, 2650, 5752, 6616, 9109, 6548, 5280, 2781, 6237, 619, 5105, 133, 8133, 1740, 4640, 408, 1539, 480, 805, 6678, 1850, 2050, 5329, 4678, 4743, 641, 62, 6823, 750, 1267, 7861, 5722, 2230, 912, 1066, 1907, 2624, 3881, 3670, 5733, 212, 6730, 1568, 6891, 8097, 819, 5803, 956, 7546, 2553, 8608, 1276, 7367, 3974, 5934, 2229, 5771, 320, 2184, 2080, 3197, 2323, 9068, 4279, 430, 3370, 3725, 6056, 859, 1291, 1772, 4816, 7698, 3920, 2455, 9097, 1600, 6812, 1852, 549, 1232, 337, 6907, 897, 7926, 8319, 7578, 3676, 399, 8768, 2392, 4439, 8403, 2044, 4173, 3750, 4878, 6617, 3419, 8920, 5326, 8017, 6851, 6481, 7694, 9028, 5381, 6277, 8697, 4540, 1925, 2607, 9103, 1111, 4639, 2676, 93, 4672, 7010, 1282, 9167, 8496, 3396, 5482, 1041, 1903, 961, 1225, 6868, 694, 3494, 2504, 5436, 7662, 1125, 5983, 8572, 2575, 7961, 1599, 1604, 1446, 8169, 1190, 7820, 6793, 6474, 9268, 908, 7882, 482, 9184, 6857, 4896, 2702, 6599, 799, 1509, 470, 7503, 6702, 8739, 1259, 2832, 5279, 9031, 8486, 7404, 1096, 3225, 9084, 502, 8329, 5238, 7328, 2481, 2073, 5044, 6950, 7436, 4671, 3129, 1619, 1010, 7267, 3704, 1053, 242, 1809, 457, 389, 6175, 1996, 2043, 919, 7388, 4066, 8388, 5861, 39, 2816, 2679, 3734, 4911, 4325, 5371, 7898, 8540, 4090, 9057, 8135, 7411, 3442, 788, 4867, 8419, 4812, 6799, 5924, 1336, 8492, 2310, 8244, 8142, 3626, 3387, 7782, 4865, 7468, 521, 8762, 4561, 1275, 1583, 3702, 2875, 3041, 5404, 4257, 6438, 4030, 5356, 6935, 8096, 5979, 92, 5380, 1426, 3229, 3583, 8172, 2619, 187, 8870, 914, 8284, 6871, 8953, 370, 1227, 203, 3113, 355, 6874, 6824, 6655, 3586, 3609, 4175, 9850, 4695, 553, 3905, 4615, 2922, 6561, 3729, 5739, 5210, 5888, 4247, 576, 8945, 7307, 3136, 3429, 6090, 774, 2955, 3636, 5100, 8149, 5187, 433, 6258, 2115, 5254, 8002, 903, 6775, 5859, 115, 7630, 6558, 1741, 71, 6354, 5097, 6396, 2903, 8999, 4828, 8962, 3032, 6207, 698, 3644, 4059, 7395, 2459, 5840, 4262, 8824, 5595, 6418, 702, 2820, 9358, 9154, 2258, 1346, 4418, 4179, 7567, 5267, 3543, 3578, 5047, 6034, 9749, 7885, 8462, 3272, 971, 323, 2544, 8633, 2302, 3762, 2165, 4658, 1720, 5693, 5008, 4817, 5178, 1902, 6209, 5852, 3608, 4106, 8674, 5609, 5621, 4580, 4182, 6141, 1815, 142, 3276, 6351, 2343, 4007, 3445, 5632, 5159, 7953, 3294, 9193, 6727, 4133, 7834, 7350, 6308, 8928, 4764, 960, 8249, 7437, 8919, 3498, 2154, 4426, 1432, 2822, 2928, 44, 7591, 8195, 3209, 7604, 6887, 870, 7735, 2474, 2379, 537, 1006, 5509, 6674, 1396, 4143, 7773, 3532, 1605, 1171, 6534, 8590, 3580, 5426, 5022, 5807, 8087, 1486, 6767, 5513, 3959, 8782, 5323, 4992, 8886, 1882, 6743, 4359, 72, 3642, 481, 955, 8177, 490, 4876, 3619, 2818, 6747, 7245, 9010, 847, 1866, 4331, 21, 7027, 675, 1879, 8780, 7408, 38, 6952, 2719, 2846, 5153, 8751, 2541, 9949, 4396, 5950, 2951, 7008, 1824, 1551, 410, 2307, 1526, 9200, 545, 4289, 1516, 6382, 8790, 5520, 6197, 3736, 7250, 3166, 7740, 6828, 3199, 6954, 333, 97, 8702, 7734, 6339, 2194, 2172, 4410, 6936, 3700, 2271, 5150, 1218, 6229, 3482, 5655, 5906, 8832, 8627, 7274, 6904, 3896, 4428, 1488, 858, 245, 8229, 1118, 4210, 8112, 2968, 1423, 3088, 2596, 1379, 3951, 7130, 4597, 6566, 5821, 6668, 8652, 5270, 5877, 2082, 1273, 8005, 4636, 1813, 6329, 8354, 5965, 7177, 8110, 2438, 4530, 5585, 8255, 5602, 51, 8482, 1348, 8483, 8037, 5791, 562, 8676, 1513, 1069, 2959, 7718, 2417, 5921, 5896, 2558, 4554, 1586, 1305, 5890, 3427, 6299, 7932, 5646, 5412, 1185, 2345, 616, 7239, 5398, 923, 1168, 8654, 4808, 373, 7297, 3752, 7906, 8488, 415, 833, 9402, 5827, 3779, 1279, 1995, 8014, 4633, 3006, 3164, 5660, 8317, 1060, 7561, 4267, 7492, 2597, 9093, 225, 477, 6751, 3825, 82, 7477, 2963, 3478, 4352, 5559, 3830, 1034, 7294, 6529, 7097, 7453, 3384, 3085, 4733, 1129, 5362, 7168, 8810, 4647, 4618, 3847, 7703, 5904, 2011, 6014, 2019, 2134, 8325, 1372, 1461, 6360, 7166, 7287, 4989, 5964, 1587, 6166, 4435, 3020, 7365, 4329, 5793, 1404, 4677, 6466, 2064, 3104, 8705, 2893, 5249, 1713, 6378, 7519, 8901, 1662, 1911, 6770, 5526, 61, 9122, 782, 4499, 4909, 535, 4593, 5918, 8504, 5407, 3011, 6224, 6231, 3280, 7728, 8915, 100, 2023, 6776, 7971, 5495, 7196, 3267, 460, 171, 2567, 1993, 1101, 2127, 4223, 3432, 8755, 6076, 4291, 3495, 8175, 6909, 4344, 7341, 8471, 1272, 4544, 6032, 795, 6119, 2421, 2671, 755, 1523, 8581, 5494, 8457, 4292, 2052, 963, 4873, 2162, 9079, 6227, 7262, 1788, 64, 8566, 7474, 1778, 4430, 5773, 872, 3219, 8289, 4758, 9485, 3965, 4186, 7203, 8841, 409, 1851, 8940, 1072, 5984, 2858, 5160, 1994, 5163, 7170, 7651, 7965, 7660, 506, 8475, 5980, 1380, 7045, 157, 239, 8813, 3883, 578, 7889, 1655, 6062, 6801, 1235, 6215, 6692, 7296, 747, 7620, 8301, 8204, 8606, 6427, 6795, 156, 3185, 3392, 5839, 8932, 6966, 9416, 5635, 3292, 6288, 4392, 3324, 2160, 5644, 411, 383, 3312, 1794, 3818, 3828, 2325, 8658, 276, 5081, 5429, 3682, 2493, 7465, 1007, 2509, 570, 2179, 6274, 244, 9738, 7470, 4412, 3083, 610, 2530, 7845, 1821, 3576, 6858, 5456, 864, 5532, 4985, 6999, 7234, 519, 3216, 7109, 988, 313, 4711, 7521, 7788, 6552, 9781, 1102, 2892, 7067, 8121, 2336, 5070, 2373, 2084, 6585, 8340, 7736, 2864, 7247, 4438, 2966, 3014, 1146, 5162, 5770, 3841, 3557, 7238, 7146, 4460, 3545, 8212, 5933, 1312, 5902, 3688, 5758, 241, 1577, 667, 7780, 2085, 8930, 1804, 6537, 2872, 1252, 3903, 8181, 2071, 6714, 8811, 7890, 5461, 1137, 6898, 4874, 6168, 4921, 8677, 822, 3506, 6148, 8163, 3120, 286, 4928, 4528, 2143, 4763, 7848, 5557, 1977, 1503, 321, 4328, 1367, 8621, 3439, 7689, 6783, 4048, 8990, 6449, 7784, 3531, 6157, 7877, 7772, 932, 1439, 347, 3530, 3566, 6219, 6271, 8997, 6259, 8207, 5023, 9757, 4099, 4947, 7840, 8092, 6512, 122, 4941, 8976, 4625, 7308, 4497, 240, 7810, 1150, 4798, 8145, 1357, 1145, 2419, 5576, 5206, 5468, 4304, 3331, 7808, 2347, 7409, 2341, 1546, 916, 2201, 8971, 3976, 6078, 9359, 3295, 6113, 3679, 1215, 1340, 2204, 3906, 9505, 9904, 2241, 2192, 6092, 7720, 679, 550, 6490, 3253, 2174, 9802, 8582, 5574, 997, 6506, 2604, 3414, 6041, 748, 8934, 1777, 2754, 9199, 7059, 7613, 8694, 8346, 6699, 7446, 6395, 8864, 4661, 5776, 2420, 2110, 7413, 3315, 5858, 9156, 8726, 8248, 3604, 5447, 1567, 588, 5373, 5967, 3189, 3259, 2285, 4990, 6383, 6992, 5443, 7094, 8274, 7481, 6575, 8161, 206, 5332, 5010, 4558, 3592, 3479, 9755, 3135, 5052, 8781, 7982, 4229, 8918, 3291, 4376, 290, 1395, 6422, 6180, 4803, 1545, 8178, 3813, 8880, 7918, 4218, 4562, 6160, 8729, 6291, 5498, 8295, 357, 5451, 7817, 700, 3449, 6930, 2464, 8222, 497, 8877, 1723, 6686, 7460, 9063, 5053, 7870, 5848, 617, 5571, 2335, 7857, 4216, 7102, 6200, 464, 909, 7652, 8404, 1133, 6370, 4033, 7532, 7302, 6602, 9279, 3650, 116, 9766, 2751, 6620, 4996, 8385, 7483, 6774, 3981, 998, 6642, 5910, 4043, 949, 9157, 917, 6027, 8657, 6444, 176, 4318, 8604, 7504, 742, 4409, 8424, 8231, 6914, 2250, 7964, 432, 3147, 5154, 2387, 1467, 5931, 8929, 3788, 6256, 2908, 6031, 945, 7455, 1140, 4083, 4622, 338, 2324, 3995, 6929, 834, 1210, 3857, 3890, 2030, 1240, 2196, 9066, 1239, 9126, 6211, 3298, 3521, 5072, 887, 2239, 2697, 2882, 3863, 8836, 7284, 53, 4609, 4180, 7697, 1725, 5439, 6849, 3499, 4923, 4313, 5129, 6469, 5120, 5423, 2318, 3127, 252, 6735, 6625, 7822, 690, 7929, 2836, 3987, 2788, 164, 3045, 4834, 2897, 6204, 4634, 2176, 5330, 9052, 8833, 5387, 3962, 2692, 5432, 5676, 2755, 2874, 8470, 3213, 9104, 8421, 1789, 4468, 5128, 8664, 2632, 4012, 8191, 3268, 7524, 4243, 3075, 8476, 7547, 8562, 8644, 4649, 7305, 3790, 1578, 3078, 406, 8585, 7248, 7959, 3560, 8076, 5745, 2294, 7917, 7708, 560, 6116, 5865, 4744, 4504, 4036, 6269, 3513, 2693, 4727, 4274, 7390, 2551, 2603, 3536, 7353, 3115, 4805, 6899, 7016, 1783, 8937, 4369, 4673, 7110, 6600, 8068, 5524, 8153, 7598, 6881, 2577, 37, 5244, 9215, 1039, 1031, 1233, 3816, 736, 5401, 5765, 5521, 2791, 9929, 5035, 3065, 4603, 96, 472, 6665, 2866, 8371, 8166, 2792, 8638, 1143, 3544, 1613, 7206, 1883, 5127, 2057, 414, 6626, 8065, 7730, 8787, 4374, 6544, 4037, 9188, 6576, 7545, 8605, 6352, 7586, 3256, 2056, 666, 6972, 8575, 2282, 4444, 4138, 8894, 2610, 8313, 401, 1094, 57, 258, 7212, 5343, 6426, 2025, 4752, 5170, 4789, 4838, 7083, 5273, 9354, 8228, 4360, 4035, 5080, 7128, 3550, 2222, 8912, 7711, 4471, 1296, 107, 8766, 9030, 5068, 4478, 9262, 1047, 4732, 3378, 1436, 1078, 1021, 2136, 800, 8025, 3777, 2904, 3552, 3304, 3503, 890, 556, 3122, 7594, 3052, 3600, 2354, 8093, 7980, 2491, 7490, 8214, 8941, 1003, 7221, 6439, 4245, 7391, 281, 6817, 3877, 8020, 1897, 4831, 3010, 6342, 5014, 3309, 5191, 6198, 4584, 1406, 2589, 3827, 1730, 4714, 9897, 3257, 7962, 7023, 2038, 3909, 6482, 551, 8552, 902, 6779, 2574, 5853, 1186, 6153, 9609, 1035, 532, 725, 7815, 9110, 5424, 6167, 958, 1547, 7351, 1829, 9557, 9171, 7378, 5916, 9682, 7544, 1397, 364, 7167, 869, 6654, 7185, 3663, 4049, 1408, 3407, 1073, 4881, 6298, 5545, 5973, 7389, 2669, 8194, 8675, 2182, 779, 3748, 860, 8861, 8196, 3794, 7397, 503, 1931, 1392, 6392, 7282, 1677, 8967, 6722, 5623, 4908, 6892, 8993, 711, 7945, 4810, 2891, 1557, 8494, 2802, 4335, 9218, 6484, 9208, 8855, 4316, 2646, 584, 1230, 2839, 6415, 3190, 2850, 8513, 99, 3239, 7112, 4880, 6316, 1056, 4324, 1095, 9295, 6268, 3176, 2630, 7224, 2252, 5790, 7456, 6035, 1081, 7916, 1874, 2793, 8498, 515, 7380, 7501, 7628, 6304, 2311, 2830, 5627, 1289, 2735, 6047, 463, 2915, 586, 3371, 6159, 5493, 7902, 3321, 5780, 5114, 5685, 285, 2749, 3891, 2895, 50, 4246, 1011, 3461, 3646, 9195, 3141, 5573, 3985, 5715, 3330, 3953, 5324, 3584, 1665, 3086, 221, 2524, 9780, 274, 5405, 4806, 3220, 825, 2488, 728, 9429, 5930, 6255, 40, 3524, 920, 884, 351, 6217, 4938, 2359, 9434, 341, 8616, 8205, 4419, 5512, 9083, 5531, 4898, 4350, 3435, 9707, 6170, 7678, 2423, 4480, 1731, 6191, 9644, 6389, 2508, 7291, 6641, 7895, 5500, 6695, 4351, 77, 6264, 6688, 8238, 831, 6363, 292, 4132, 7596, 1411, 8770, 7585, 4156, 6753, 5076, 5245, 6011, 8342, 8491, 3628, 4170, 7592, 7549, 5649, 7934, 6477, 412, 9081, 6428, 8016, 7617, 5246, 5868, 4811, 3360, 4299, 7374, 7552, 807, 7649, 2124, 1656, 5001, 592, 7269, 1209, 2980, 1430, 1675, 3705, 1280, 3039, 3806, 7558, 5480, 599, 1083, 8873, 7232, 5421, 3561, 790, 2784, 7134, 8217, 5764, 9064, 4813, 8645, 9759, 6080, 2117, 4346, 1768, 8805, 5911, 91, 1834, 4547, 5099, 2798, 2536, 8039, 6979, 6009, 343, 224, 3868, 4486, 6514, 4276, 8452, 1737, 8872, 8275, 2768, 4222, 3829, 8750, 2961, 3356, 7137, 4632, 264, 7657, 2960, 4084, 7993, 5291, 5, 3337, 7812, 3771, 1009, 5540, 12, 4598, 5232, 9567, 108, 6445, 7525, 4656, 816, 5106, 2499, 2315, 5181, 5938, 9362, 1086, 9034, 2545, 2000, 6008, 1326, 6403, 7325, 5202, 6648, 1683, 8350, 5792, 1584, 1708, 1808, 249, 1012, 522, 608, 5975, 426, 161, 1573, 2940, 4596, 4975, 3027, 647, 5083, 8865, 246, 3984, 4450, 3163, 6024, 636, 6000, 7424, 792, 7210, 614, 1314, 8084, 5027, 1706, 6261, 2130, 9114, 6806, 6679, 5092, 4240, 1952, 8420, 8744, 2670, 4526, 922, 7522, 5795, 6976, 499, 7151, 6723, 7150, 7954, 3862, 7666, 4917, 3799, 2870, 8617, 193, 1254, 2432, 7715, 6815, 4952, 9911, 7516, 3934, 8315, 9326, 6885, 5042, 8597, 1001, 4757, 2902, 2817, 7896, 7520, 527, 8951, 2701, 937, 494, 417, 7899, 5815, 9158, 3342, 2171, 8508, 9191, 9214, 9879, 7672, 7463, 6662, 4140, 4021, 7536, 2562, 5034, 8838, 4768, 1207, 1152, 3269, 1806, 1359, 754, 1045, 5239, 8975, 5414, 3043, 5669, 8550, 3835, 8122, 4602, 1801, 6621, 8760, 1985, 439, 936, 134, 8378, 7442, 4859, 9140, 1297, 862, 2216, 336, 4523, 6549, 8397, 5473, 3009, 7171, 775, 8258, 119, 5677, 7461, 6412, 155, 3210, 4025, 1441, 2263, 5446, 223, 5197, 4184, 7386, 5025, 4382, 8043, 6861, 7215, 6503, 1364, 4202, 8788, 2764, 5600, 735, 8359, 3737, 915, 1465, 4856, 6362, 5525, 4679, 6152, 3990, 6968, 2811, 251, 7610, 2807, 3879, 7316, 6738, 4155, 8070, 3911, 9002, 5393, 9603, 3420, 128, 2200, 2275, 4188, 8165, 1922, 3710, 894, 3123, 2622, 7721, 8272, 6432, 818, 8548, 7370, 2856, 6921, 7498, 2592, 2471, 3470, 5312, 6998, 8311, 8164, 3023, 6910, 1494, 297, 4864, 3969, 7527, 4611, 8916, 4703, 4300, 2135, 3559, 7132, 938, 7230, 604, 8425, 6293, 1303, 2662, 6459, 172, 7012, 5059, 8331, 8490, 6313, 8495, 5759, 8370, 3275, 6132, 8107, 6604, 8182, 678, 7500, 7510, 2451, 174, 89, 149, 973, 6860, 4431, 348, 2389, 1313, 5955, 7667, 8596, 5836, 5974, 933, 5212, 2219, 4999, 4759, 6122, 1052, 4118, 386, 4163, 8774, 1775, 7878, 1459, 8247, 4906, 3807, 310, 7320, 6292, 8503, 7242, 1270, 4209, 4326, 5310, 7887, 6850, 45, 7924, 9236, 8366, 9147, 4366, 283, 8798, 685, 9172, 751, 2284, 3273, 8434, 2262, 3232, 7288, 1803, 2634, 5479, 575, 267, 6563, 2733, 8401, 1674, 31, 5637, 7491, 7143, 3221, 5869, 4041, 3441, 5851, 8655, 625, 2208, 1154, 4991, 3904, 5256, 2163, 5263, 7836, 726, 4749, 434, 4423, 8524, 7856, 7024, 1652, 2452, 5433, 2476, 8316, 1403, 3575, 2824, 2500, 4285, 7557, 2930, 7190, 1689, 673, 877, 1473, 6521, 5581, 3755, 441, 5168, 6685, 6410, 8045, 5579, 6059, 4213, 8465, 9922, 2992, 542, 8642, 8871, 5386, 5308, 4692, 3092, 8201, 6969, 1988, 5536, 2264, 5156, 905, 1184, 5253, 6507, 520, 403, 7851, 2682, 7948, 2505, 5769, 682, 1202, 8240, 4728, 6390, 70, 1739, 601, 1231, 5364, 6716, 8779, 5298, 7385, 6095, 451, 1368, 1553, 1116, 6583, 7583, 6526, 7642, 8769, 557, 9040, 2211, 5828, 7618, 261, 5240, 42, 8429, 6517, 8842, 7184, 538, 2923, 2797, 8794, 1855, 9047, 6142, 1969, 317, 567, 6081, 8568, 135, 6282, 4449, 7433, 7992, 745, 2560, 2445, 8158, 5320, 720, 1110, 6644, 7777, 5272, 6044, 6102, 3266, 9189, 4511, 7582, 35, 487, 190, 2382, 5940, 8395, 3177, 4619, 6494, 554, 6414, 9163, 7930, 233, 2756, 6777, 5243, 5743, 9087, 3719, 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3505, 7551, 612, 3888, 8278, 277, 4488, 1205, 540, 4303, 5126, 7627, 1780, 8926, 2195, 3007, 4956, 4112, 587, 741, 3723, 13, 6959, 4420, 4060, 9661, 3003, 5427, 6960, 5110, 650, 3460, 6349, 2766, 4058, 192, 8364, 8619, 8341, 1165, 7653, 9520, 3792, 5860, 2563, 2835, 6461, 696, 483, 7800, 8660, 8646, 7509, 2040, 5354, 7747, 658, 7919, 1744, 3935, 8176, 5714, 3493, 3077, 129, 6741, 6827, 459, 6612, 420, 2088, 1912, 5735, 9323, 6505, 331, 6279, 3931, 5948, 8105, 8964, 6886, 5090, 2074, 5227, 7076, 29, 4476, 7677, 9198, 4531, 3565, 7911, 8903, 569, 6739, 5874, 2021, 1696, 7970, 9411, 5261, 8192, 2743, 8292, 5563, 7572, 3585, 7802, 8958, 5949, 8159, 3450, 8983, 5707, 7479, 5864, 2884, 5264, 6453, 6962, 5897, 968, 1782, 5738, 5460, 2936, 8101, 2280, 1206, 9627, 3624, 3412, 6483, 2763, 2185, 3727, 1543, 2995, 1250, 1614, 511, 334, 1975, 1795, 8140, 3800, 5013, 74, 1868, 4884, 9437, 3842, 3851, 660, 9838, 6752, 589, 4470, 7369, 7849, 2942, 3402, 8296, 6240, 4347, 7716, 3297, 1398, 6205, 7414, 1000, 6353, 631, 2424, 6238, 668, 66, 5689, 7138, 8986, 8086, 2367, 9306, 7776, 4391, 288, 3362, 8938, 123, 4986, 5959, 307, 2259, 2483, 2699, 3681, 7973, 6030, 6594, 7337, 5028, 3281, 3348, 5762, 2091, 4981, 3661, 5094, 4089, 8010, 6988, 1339, 4097, 3747, 9634, 7828, 8047, 5831, 9175, 6916, 7122, 3250, 4575, 7398, 9383, 7874, 585, 2027, 9721, 9037, 5000, 2620, 169, 9521, 8653, 437, 4087, 2664, 2146, 7508, 4306, 196, 5995, 7072, 2355, 2790, 7289, 295, 9926, 2433, 1234, 1351, 6341, 8825, 2314, 4613, 465, 6066, 9080, 2728, 8851, 8889, 4096, 7229, 6300, 7766, 5248, 8019, 688, 6928, 8487, 3527, 181, 6185, 2730, 6203, 3079, 9072, 6944, 3244, 512, 2293, 3061, 4400, 8026, 6782, 3026, 5895, 8063, 3698, 8564, 1484, 4332, 232, 1785, 2209, 8844, 1016, 9586, 5972, 9489, 6740, 4128, 1537, 2976, 2400, 4205, 638, 8578, 6137, 2588, 3728, 6890, 63, 9399, 8048, 3820, 4228, 1936, 6840, 7506, 4861, 7639, 8338, 9806, 5810, 9686, 6347, 8576, 8963, 2799, 9078, 8713, 579, 1444, 3059, 5741, 201, 8180, 1913, 6943, 8545, 5942, 6982, 8056, 87, 3991, 8232, 5702, 7254, 8398, 2617, 1972, 7792, 609, 4653, 2507, 6377, 162, 5648, 474, 4853, 7430, 4394, 3180, 1800, 6732, 9032, 6129, 4855, 3958, 2737, 1581, 7512, 2422, 7271, 9027, 5818, 7080, 3383, 8308, 4627, 3712, 6539, 6987, 1654, 7515, 3382, 8573, 8291, 7401, 3069, 2473, 3325, 2098, 7069, 8430, 4203, 7407, 7876, 2576, 2429, 1451, 392, 2849, 9909, 4016, 5760, 3344, 5624, 316, 4784, 350, 928, 896, 1226, 6947, 189, 7457, 4977, 3241, 2193, 1201, 6633, 4841, 8417, 7830, 4207, 4103, 8771, 8948, 5118, 7665, 4080, 6374, 3143, 8304, 8603, 7675, 3433, 7472, 6596, 4038, 5820, 6618, 3653, 8785, 5012, 4072, 6082, 3598, 7749, 2808, 3437, 5103, 2666, 8714, 138, 2939, 9036, 2010, 1163, 9868, 1048, 7771, 3031, 8075, 829, 7668, 5533, 8022, 8679, 4495, 7095, 7704, 7418, 2979, 780, 7935, 5445, 2119, 3721, 6684, 7060, 7454, 8473, 2795, 3948, 8206, 1495, 9752, 8799, 3100, 1620, 8044, 8943, 10, 1148, 4605, 7825, 7111, 7285, 7824, 6595, 1381, 2885, 8733, 1820, 4786, 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9955, 2769, 9588, 9296, 5328, 1591, 6701, 5724, 6820, 620, 7998, 6760, 680, 1323, 1533, 4930, 8624, 528, 8030, 359, 9213, 4172, 3834, 1013, 8598, 9620, 8053, 6681, 3488, 9414, 8489, 1219, 5101, 4006, 5639, 9025, 7244, 48, 4284, 3960, 5782, 8927, 8973, 4139, 7105, 8253, 1288, 9076, 2361, 6446, 7036, 8007, 8554, 6883, 7162, 8006, 6748, 7588, 6897, 1880, 8127, 8716, 3062, 2206, 564, 1693, 9297, 2482, 6696, 5620, 2557, 7910, 6509, 5691, 6802, 969, 4200, 718, 9507, 47, 6182, 7722, 137, 4237, 4149, 3943, 2778, 8580, 2918, 9817, 6873, 8761, 2554, 22, 9973, 4406, 5305, 3534, 8114, 9478, 7194, 9018, 6578, 6250, 2859, 8215, 8386, 1548, 5441, 5266, 5742, 3708, 1593, 9907, 3535, 1098, 3194, 5569, 8363, 3118, 6437, 2652, 7292, 5749, 9578, 2975, 8544, 1424, 448, 9532, 289, 7343, 5643, 7757, 329, 9165, 6903, 8868, 1229, 8168, 6656, 24, 67, 7042, 8155, 629, 9000, 1664, 3345, 65, 6995, 7846, 8542, 6706, 9207, 6470, 9130, 3766, 7705, 649, 2953, 5415, 2407, 4974, 1703, 1898, 3871, 3730, 2753, 5706, 5037, 8383, 4263, 7005, 7200, 5667, 4712, 2853, 5180, 648, 1831, 9980, 5515, 4402, 3094, 3333, 809, 7626, 2548, 7372, 6538, 6742, 1448, 3743, 8839, 6757, 151, 8944, 7354, 7339, 5883, 1236, 3763, 7597, 20, 7003, 4970, 5754, 5548, 9291, 6210, 6937, 9820, 8849, 7850, 9067, 9866, 1038, 3247, 361, 7655, 4946, 2636, 5217, 9818, 4699, 7275, 8541, 4234, 6416, 4000, 4713, 6981, 683, 7473, 6263, 517, 4472, 2690, 8297, 6610, 6846, 3627, 5497, 7402, 1558, 6658, 3645, 7550, 2207, 7540, 8333, 719, 1316, 1673, 4818, 7032, 5148, 3167, 1760, 1973, 4569, 2937, 8390, 2498, 2945, 9042, 491, 475, 2480, 635, 8072, 4931, 5527, 7746, 8449, 9554, 6768, 2104, 418, 5138, 7862, 4235, 9736, 5705, 6073, 3703, 4767, 7990, 7145, 2649, 9377, 7225, 1779, 8033, 7464, 8796, 4413, 3096, 3492, 3740, 6486, 4493, 8560, 270, 3191, 777, 7178, 3843, 6262, 623, 8793, 2413, 4777, 7164, 6689, 9615, 6294, 3201, 9222, 4802, 7211, 5841, 1755, 5379, 1970, 4421, 8670, 947, 5554, 6511, 6169, 7426, 4971, 4512, 2140, 7719, 7482, 6213, 5640, 2022, 3248, 4505, 5647, 141, 9202, 8746, 9333, 4088, 9901, 3305, 7419, 8913, 935, 9494, 8396, 5961, 611, 691, 2776, 118, 7061, 3508, 8472, 8276, 2962, 1063, 3720, 3469, 552, 9099, 3474, 1427, 4729, 3632, 5096, 4726, 229, 3093, 9491, 166, 6513, 9518, 9023, 8567, 686, 7149, 8900, 9197, 9822, 613, 6725, 624, 185, 8382, 1223, 9796, 8895, 4405, 1640, 4824, 7467, 5276, 4601, 2789, 9739, 4160, 382, 8218, 966, 9725, 1592, 8875, 8360, 1965, 9470, 8784, 9600, 2779, 1999, 6977, 9724, 1015, 8484, 369, 2523, 4451, 7020, 9803, 8559, 2031, 9347, 6619, 4271, 3837, 9043, 957, 9274, 6029, 8878, 9425, 4429, 7603, 2330, 7569, 7157, 7629, 2972, 8692, 146, 9006, 2738, 1341, 2426, 2501, 284, 4440, 136, 7975, 113, 2319, 6310, 9146, 4968, 9794, 7277, 6381, 646, 4920, 6, 1242, 1100, 9356, 1530, 607, 7485, 4770, 6709, 4871, 4473, 4102, 46, 1097, 7276, 3311, 198, 6306, 6158, 1960, 5756, 7818, 8741, 3924, 9427, 2129, 3501, 712, 6454, 3634, 9672, 5467, 8507, 8641, 7273, 7774, 8439, 3018, 8387, 1705, 1929, 8234, 1826, 5716, 1405, 672, 8443, 3570, 7690, 1974, 6385, 8028, 1734, 1373, 8574, 7176, 8698, 637, 4073, 4081, 6195, 8515, 5003, 5189, 2068, 8778, 2291, 9164, 9862, 7570, 1004, 5262, 4342, 6012, 727, 3467, 5612, 8123, 7037, 9349, 4386, 2248, 8173, 6049, 9073, 1589, 6913, 9016, 4308, 1108, 4872, 7279, 2741, 1005, 2707, 6434, 1939, 9325, 9445, 484, 9714, 6927, 516, 8595, 1848, 1914, 3282, 7015, 7946, 4445, 1688, 7160, 5501, 1082, 4939, 8211, 9947, 9426, 184, 375, 3466, 9117, 640, 7053, 3475, 8899, 1876, 7173, 3796, 9508, 8684, 5157, 9020, 5953, 498, 3589, 4135, 7222, 3316, 5592, 9534, 8170, 7480, 94, 5389, 6632, 4907, 4232, 5236, 43, 2187, 8860, 504, 8712, 6337, 2614, 568, 3157, 2998, 3048, 8422, 2047, 4136, 4904, 455, 318, 7595, 7359, 8589, 453, 1928, 7867, 4776, 6139, 3665, 2321, 1022, 9675, 8966, 1300, 3640, 6682, 8821, 558, 5370, 7147, 1299, 1115, 8353, 8765, 9265, 9211, 9256, 7606, 126, 6420, 1294, 6325, 9138, 1130, 8162, 7654, 1017, 3328, 5936, 4063, 9778, 442, 6405, 1714, 7765, 9786, 5578, 5642, 4467, 9836, 9407, 3593, 6536, 9927, 9902, 6808, 4338, 8556, 9230, 5235, 4994, 3452, 9105, 7306, 6161, 6900, 7033, 6388, 7280, 7344, 2667, 3546, 6440, 7785, 9151, 3691, 3610, 7278, 3539, 9370, 144, 2299, 3150, 934, 4972, 1058, 6379, 4918, 5453, 9204, 6501, 220, 6110, 6797, 1857, 9832, 8046, 8119, 5484, 431, 8637, 2582, 693, 4150, 7999, 3103, 962, 3509, 7829, 8440, 4809, 7108, 4113, 8783, 466, 9720, 7783, 4244, 8250, 7265, 1217, 8085, 8184, 2461, 54, 5086, 9420, 4588, 8905, 6369, 9264, 4552, 279, 6283, 5294, 8445, 2534, 2724, 8394, 8463, 3988, 6571, 8724, 1894, 9935, 6559, 3128, 9247, 6331, 3853, 8831, 84, 6230, 7928, 8190, 4756, 6663, 8546, 7317, 8592, 5115, 7602, 7560, 8563, 5318, 6834, 5611, 3831, 4079, 824, 6276, 7272, 5024, 2677, 5299, 8280, 3925, 5485, 372, 5809, 8688, 9131, 7290, 655, 9948, 5905, 3175, 7300, 2227, 1622, 8461, 4, 5176, 8381, 8959, 664, 4085, 4866, 921, 300, 6657, 3683, 596, 4204, 1220, 9662, 5517, 5944, 4536, 226, 5538, 9632, 5675, 4178, 7093, 6021, 6953, 4242, 8586, 214, 6067, 4166, 9190, 9937, 436, 8041, 7362, 9250, 4108, 5413, 1257, 7754, 9060, 7615, 8630, 2513, 489, 7997, 9936, 7528, 5740, 4953, 8732, 6104, 5878, 8423, 7205, 7422, 8235, 7031, 1534, 6580, 8499, 5957, 577, 1144, 8722, 1383, 7900, 452, 5221, 9683, 5572, 3709, 5778, 4934, 6025, 978, 6407, 6247, 8318, 1025, 9633, 7346, 9223, 752, 5736, 7450, 5496, 6074, 4065, 2316, 422, 2489, 7127, 4116, 9413, 6314, 4201, 2555, 7744, 1562, 9679, 6749, 102, 2133, 5174, 6835, 7175, 2704, 8512, 6772, 6829, 4456, 9385, 7827, 14, 1754, 6343, 4018, 6173, 5699, 3477, 8882, 1320, 6838, 2456, 9860, 7943, 4847, 6296, 8853, 6097, 3323, 3668, 1790, 6265, 6628, 9379, 710, 3795, 6235, 4343, 3313, 1991, 9930, 7538, 5411, 326, 7913, 4645, 1253, 9026, 327, 7581, 3133, 6920, 5146, 8843, 2442, 6091, 8908, 992, 2696, 3089, 7763, 4333, 9642, 7952, 4560, 8996, 5472, 5367, 9669, 5889, 9069, 3374, 8210, 3745, 1661, 1663, 2514, 9742, 8840, 8124, 7348, 177, 253, 8193, 6340, 9871, 3238, 9559, 6763, 3320, 7968, 8584, 5193, 4940, 9699, 2141, 1204, 305, 2349, 6115, 7452, 6070, 2528, 1032, 1170, 2765, 8277, 943, 8728, 9540, 2944, 9962, 7213, 8685, 1899, 8720, 5454, 9915, 9979, 8293, 7044, 7062, 1941, 3084, 9519, 6872, 2256, 6345, 140, 565, 8099, 6651, 5385, 1487, 830, 9307, 4034, 4454, 8433, 7709, 6859, 7731, 2431, 814, 813, 6586, 8077, 5708, 7049, 6532, 6364, 207, 7941, 7758, 8758, 6253, 254, 6780, 746, 1375, 2328, 237, 4704, 6455, 8003, 2887, 1743, 9890, 4833, 5577, 4667, 363, 699, 8407, 8533, 2762, 5471, 79, 7542, 1759, 5617, 6179, 8074, 4629, 4485, 1865, 8312, 1480, 450, 1330, 2024, 8241, 8593, 3638, 17, 9345, 6520, 4969, 9015, 8525, 208, 7563, 4815, 3028, 6863, 7979, 9872, 7933, 7632, 7619, 1979, 8954, 5347, 4241, 659, 9753, 9972, 9700, 845, 9244, 591, 1362, 2260, 4371, 2408, 9029, 1797, 7633, 8334, 7832, 4849, 384, 9001, 2305, 8815, 8618, 6925, 3786, 378, 6221, 9961, 6147, 127, 9758, 2537, 705, 3850, 2842, 9894, 6978, 485, 7312, 8707, 7071, 3436, 6443, 6476, 758, 7835, 7121, 3434, 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4170, 6794, 8447, 2957, 7621, 2533, 6090, 5700, 3993, 6919, 3043, 7686, 5926, 1290, 6317, 2857, 5171, 3457, 2823, 776, 5465, 174, 1014, 922, 4384, 3738, 5287, 8139, 940, 4709, 3047, 8021, 6911, 9090, 1472, 677, 5997, 1866, 3598, 5756, 5565, 3823, 4331, 6151, 989, 3510, 8720, 8927, 9098, 1515, 4628, 7899, 954, 3421, 9141, 6034, 5474, 4541, 1409, 2882, 6596, 7650, 2243, 6569, 6164, 1131, 868, 3026, 357, 6103, 3170, 5776, 2686, 1363, 6825, 4167, 1104, 1157, 5289, 6876, 6042, 8797, 3389, 1719, 8453, 2225, 6127, 3793, 5130, 6309, 7714, 3011, 1767, 549, 5066, 6518, 5833, 5499, 5706, 5191, 3772, 1336, 789, 4640, 21, 5657, 5803, 3609, 3916, 5988, 8835, 2217, 5727, 1573, 7823, 4178, 5229, 8437, 8018, 18, 3172, 5298, 5590, 3087, 3541, 4403, 3998, 2905, 5325, 200, 2289, 8764, 1085, 3673, 6750, 2495, 8418, 3756, 7004, 1380, 6501, 4214, 8092, 6811, 9315, 2423, 1919, 1875, 3402, 2120, 3615, 8061, 5297, 2281, 6726, 1789, 2245, 3142, 377, 951, 6005, 6068, 806, 8073, 4897, 4519, 2938, 6448, 1052, 2075, 4009, 4311, 6115, 7810, 6400, 6077, 71, 1337, 1877, 4532, 1887, 4785, 2011, 5250, 3183, 2916, 4293, 9143, 1705, 8157, 1757, 4976, 6858, 788, 4003, 2278, 4452, 5351, 6318, 5277, 3880, 1856, 1936, 1510, 8907, 748, 1961, 9186, 7240, 8462, 4851, 3616, 2653, 1352, 3004, 4013, 5690, 2122, 618, 3898, 4571, 7906, 65, 5612, 4266, 839, 6267, 1910, 2148, 3046, 2005, 165, 6869, 3982, 72, 2621, 4597, 5416, 1020, 2740, 7680, 2427, 6512, 1418, 6085, 3892, 7118, 6430, 2985, 1445, 3874, 1490, 6124, 5822, 3508, 5731, 2287, 3472, 2852, 6297, 8827, 3174, 3426, 6834, 5303, 2123, 1338, 1150, 3034, 3519, 3161, 475, 4814, 3173, 6117, 2487, 8270, 6043, 7853, 805, 5186, 7909, 8375, 409, 1354, 3963, 3202, 7579, 1626, 4122, 5712, 4145, 1686, 6524, 144, 5349, 5321, 867, 7854, 6118, 1504, 4294, 7269, 1701, 4861, 1034, 6627, 4741, 6678, 1659, 5875, 9126, 7495, 6918, 1241, 4231, 682, 2322, 7593, 5436, 4815, 2933, 8143, 5711, 7634, 4667, 1164, 4766, 586, 2760, 1782, 4925, 1508, 1321, 7292, 3055, 2794, 5093, 1998, 2773, 1110, 3478, 5571, 1496, 6549, 3414, 8554, 4124, 7510, 7587, 1327, 4164, 4993, 4933, 6734, 1727, 6781, 5506, 4729, 8146, 7679, 933, 5013, 3049, 3870, 1369, 2742, 9138, 7421, 5714, 5668, 5901, 2165, 3525, 2757, 6045, 4399, 7411, 8866, 6895, 6635, 4503, 8677, 2467, 5954, 6145, 7289, 1500, 3938, 4157, 3556, 1676, 8963, 7219, 4719, 6615, 6098, 4168, 3813, 6036, 8727, 4022, 7732, 842, 3325, 3159, 5582, 2634, 6703, 3997, 2415, 5394, 6897, 2841, 1948, 5966, 6101, 4863, 6519, 3765, 5198, 5269, 3102, 1572, 5800, 4781, 822, 2054, 4684, 3237, 1550, 5638, 1314, 4963, 4418, 9057, 4082, 5358, 6413, 911, 6149, 1386, 356, 7081, 3815, 4377, 3812, 910, 4464, 7983, 6804, 1262, 2095, 5102, 5018, 3235, 4691, 4053, 7035, 6006, 166, 3714, 643, 4215, 3079, 6386, 7972, 4477, 4095, 5539, 7569, 8921, 898, 6874, 2689, 2411, 38, 4512, 6100, 5832, 6313, 1397, 5964, 1810, 2462, 3252, 3353, 8615, 3875, 7554, 6562, 56, 7253, 2664, 1945, 6597, 5107, 7916, 8008, 4612, 8347, 6174, 7198, 7994, 3305, 5703, 5203, 2386, 3595, 4591, 4245, 8588, 4444, 5898, 4432, 4616, 2890, 4583, 4912, 5635, 2296, 6945, 6660, 5562, 5564, 4877, 2356, 4988, 2155, 3226, 7440, 1888, 4028, 2183, 1699, 5166, 3195, 8107, 1616, 2496, 5488, 4482, 6694, 4349, 7339, 4936, 3377, 2093, 3684, 2060, 6451, 595, 6126, 1521, 1154, 5943, 2340, 1088, 1574, 1200, 7334, 1516, 901, 1791, 4868, 7682, 1193, 1484, 3109, 5035, 6479, 1098, 2362, 8412, 6406, 8654, 206, 2189, 7446, 1899, 707, 4839, 4659, 5026, 336, 6212, 8336, 1093, 6380, 5300, 4356, 6107, 3973, 5477, 2557, 6964, 7330, 3753, 5794, 9046, 3212, 8, 4663, 844, 7385, 3440, 4430, 5225, 7226, 3929, 8617, 8216, 235, 8181, 8883, 5345, 3524, 1829, 4581, 1213, 6866, 2264, 5356, 690, 5062, 3727, 4227, 7311, 7780, 5228, 3277, 2908, 4790, 4165, 1447, 8935, 3588, 9136, 5558, 8957, 5196, 2645, 5319, 6177, 4575, 790, 4521, 4330, 5892, 5665, 1918, 5852, 3101, 286, 3112, 9032, 3534, 1989, 7755, 1950, 3002, 5645, 1237, 5161, 997, 1874, 5361, 4697, 1594, 6894, 1056, 5791, 4894, 5122, 5427, 8098, 3754, 5543, 6868, 5492, 4252, 3116, 7768, 4292, 7663, 7336, 3770, 2391, 1946, 5696, 2624, 4525, 1682, 7957, 2257, 2588, 1235, 8208, 3108, 2486, 6552, 2781, 3855, 7845, 2585, 6669, 2490, 1802, 8271, 6572, 7681, 4373, 7002, 3324, 8781, 8523, 931, 7940, 8402, 2106, 8361, 4638, 3303, 5899, 4383, 6556, 7665, 5947, 704, 3803, 8148, 2643, 661, 6458, 7607, 6048, 3039, 798, 2078, 8776, 5545, 5939, 7502, 5478, 1898, 4900, 5004, 1393, 4878, 221, 4092, 7966, 1669, 3528, 1627, 3310, 4947, 8450, 2434, 3364, 1726, 4827, 2484, 2086, 6555, 4006, 3225, 6026, 6971, 5646, 396, 4589, 1190, 2749, 4662, 6464, 3300, 173, 4057, 6087, 1643, 3044, 5628, 5245, 7369, 937, 1588, 5399, 7116, 2158, 3641, 1329, 3636, 3553, 6233, 3106, 3327, 824, 4825, 5242, 3494, 3529, 5015, 5870, 4078, 6232, 5960, 2261, 3581, 6055, 5357, 8917, 7552, 6144, 5322, 7329, 716, 5688, 4750, 7481, 6436, 6216, 3899, 5993, 3841, 3307, 4945, 1937, 3051, 2718, 1355, 5333, 996, 4031, 3821, 8091, 8125, 3794, 7403, 6274, 1385, 8431, 5275, 8152, 7216, 7884, 7337, 4461, 4388, 4623, 8249, 1528, 4700, 8621, 387, 7590, 1974, 2117, 8778, 7364, 7662, 3696, 9173, 5568, 6769, 3910, 6975, 2559, 1926, 5702, 6664, 5089, 6442, 5309, 3444, 4800, 5715, 4655, 6667, 3443, 1753, 2275, 6731, 1376, 6761, 5119, 1258, 7088, 1935, 4773, 8841, 9699, 7976, 2830, 1545, 1004, 2475, 5401, 5604, 6818, 4758, 266, 4520, 4562, 4250, 1505, 7687, 1156, 1861, 2578, 3869, 1907, 417, 4862, 7000, 37, 1519, 4111, 2494, 2286, 743, 2111, 4321, 6736, 5542, 3647, 3314, 4272, 5124, 8500, 3214, 5350, 6917, 1462, 3956, 1728, 1182, 1410, 2236, 8737, 1061, 5996, 4046, 9035, 4803, 4020, 7217, 4071, 2373, 2469, 6348, 1123, 7562, 1556, 3346, 1596, 2324, 6629, 3656, 2334, 5078, 7384, 3032, 9017, 4889, 950, 7499, 1558, 6358, 8167, 2262, 2231, 1049, 3809, 5900, 5840, 5145, 2144, 7942, 5072, 8129, 7042, 5681, 1962, 7997, 224, 9205, 3155, 859, 3779, 1629, 8506, 1394, 563, 1286, 6845, 3814, 3986, 6099, 6728, 1732, 4121, 5648, 1869, 6125, 8322, 1476, 3029, 2878, 4673, 5408, 4658, 2087, 2629, 1173, 4996, 1501, 2437, 980, 853, 6880, 8278, 1191, 7969, 4211, 2333, 7959, 4633, 8902, 4836, 5288, 958, 2532, 8591, 3409, 7148, 3040, 5058, 2777, 3455, 4339, 6472, 2535, 2525, 3263, 8455, 5233, 8358, 1489, 1244, 1260, 4029, 4037, 7511, 5376, 4651, 1848, 8230, 6330, 7869, 9210, 6365, 7685, 6409, 246, 3942, 2716, 3058, 1964, 2618, 7486, 4830, 4582, 3587, 7428, 6332, 8112, 1117, 641, 4799, 1392, 2637, 8644, 6912, 5426, 5152, 8708, 87, 1081, 277, 1529, 7496, 284, 3586, 3376, 7174, 4177, 4195, 8040, 3017, 7568, 4718, 8314, 1691, 1427, 1968, 546, 4922, 3887, 2642, 6620, 6839, 6002, 4695, 4924, 2993, 7340, 850, 979, 5664, 4137, 981, 60, 7228, 7462, 5704, 2325, 3907, 22, 2847, 1142, 2590, 2402, 8898, 4844, 6986, 5674, 634, 3447, 9298, 5775, 5215, 8970, 2097, 1119, 4796, 4822, 3289, 100, 6066, 1322, 6568, 7537, 2405, 2348, 6468, 4590, 3229, 4285, 5584, 5290, 5710, 4774, 4457, 9191, 2704, 4683, 7065, 6094, 8634, 6722, 5006, 3386, 6592, 3267, 4554, 2748, 3328, 4821, 3141, 6315, 964, 7445, 6934, 2267, 3797, 8368, 8267, 514, 5291, 6557, 2596, 2009, 4441, 3555, 4565, 143, 4447, 3111, 1864, 9039, 4557, 401, 2444, 2012, 1167, 3846, 8578, 1921, 9170, 1474, 5861, 2342, 5448, 7322, 2597, 1225, 6638, 1184, 4905, 8405, 4449, 438, 6061, 363, 3454, 2439, 2224, 2062, 2115, 3429, 2406, 6054, 519, 644, 4005, 5452, 5483, 2813, 6784, 1177, 5049, 4032, 5834, 3013, 3105, 408, 2946, 8669, 3817, 467, 1009, 4879, 843, 6257, 2232, 7702, 966, 1201, 8953, 3504, 6416, 629, 2601, 5799, 2344, 3832, 8245, 4424, 5866, 1603, 1198, 5459, 4054, 7738, 4696, 7169, 6339, 337, 6836, 6875, 4730, 6184, 6333, 8202, 1101, 3092, 5887, 4540, 3052, 4296, 1828, 3785, 5783, 6614, 4553, 3285, 5053, 4846, 2315, 6862, 1139, 3808, 7936, 3385, 7743, 2756, 9129, 3465, 5673, 3923, 3469, 1307, 6150, 1318, 4980, 6063, 9051, 3909, 5434, 7126, 7432, 7073, 2308, 3675, 719, 2531, 182, 2827, 3674, 6773, 5636, 8350, 7985, 5444, 6970, 7172, 9084, 6162, 961, 5567, 2017, 1408, 1483, 4561, 820, 590, 3576, 3799, 2277, 3789, 3236, 4943, 567, 4500, 1825, 3110, 4175, 4340, 4942, 4355, 4310, 5748, 3286, 76, 2371, 7788, 4270, 5007, 2177, 9175, 6622, 9983, 6853, 7894, 3121, 1166, 1468, 5829, 3599, 4217, 5315, 1109, 3424, 8094, 1507, 773, 6499, 2787, 2374, 2394, 969, 5179, 379, 8105, 4334, 7204, 1249, 3895, 328, 5316, 8289, 454, 6093, 8159, 1653, 3872, 5548, 2450, 6765, 1080, 5330, 6871, 3119, 6320, 4794, 5808, 3651, 8282, 2658, 7901, 6461, 5151, 6788, 6796, 8263, 4813, 6810, 4144, 2244, 1833, 7325, 1283, 4911, 2714, 8150, 4212, 3278, 413, 3331, 4867, 8900, 6756, 1777, 2521, 4309, 5178, 8236, 1395, 6226, 6132, 3471, 2240, 8290, 2848, 8982, 5909, 5020, 5962, 2888, 1959, 8303, 7305, 3486, 5946, 8486, 5380, 8089, 4409, 4715, 6648, 741, 1411, 1526, 8535, 2164, 344, 2125, 6993, 5077, 5581, 8032, 505, 3482, 2290, 2593, 7602, 782, 5974, 3487, 1566, 1906, 1423, 9082, 3370, 8137, 1347, 8427, 6826, 231, 5487, 5402, 2242, 5372, 6089, 1671, 5614, 7591, 5398, 756, 7518, 3021, 5846, 6580, 4274, 1618, 7637, 7580, 6624, 4497, 1230, 7399, 5788, 5443, 8284, 5446, 3076, 5713, 1023, 3590, 8537, 2153, 738, 3854, 7770, 1747, 6130, 4114, 9643, 7767, 1925, 1266, 190, 5334, 7644, 5420, 7397, 1325, 5032, 1518, 7494, 3764, 5064, 8734, 2395, 991, 1042, 8200, 433, 7933, 6083, 1106, 5597, 3019, 684, 1890, 3822, 4826, 5268, 781, 8324, 8004, 5761, 5764, 2997, 8247, 2282, 2862, 6039, 4281, 8115, 5292, 9050, 2073, 568, 2951, 6202, 473, 4678, 7236, 8602, 6551, 8132, 584, 1513, 1742, 5212, 2454, 9109, 5994, 3338, 4366, 1268, 6600, 7472, 9703, 6423, 1493, 7784, 594, 7710, 2446, 826, 4194, 7406, 3844, 6711, 6822, 4109, 2234, 1837, 9125, 4676, 2550, 1541, 9013, 626, 8981, 6058, 54, 3591, 2820, 6483, 4762, 2542, 6805, 4614, 2822, 8449, 3179, 1565, 7001, 8594, 2363, 5042, 5886, 1943, 7310, 7866, 478, 2999, 1694, 5019, 5929, 8800, 5587, 521, 3415, 8389, 3397, 5413, 6942, 7361, 2251, 1499, 6211, 8309, 5226, 1463, 4753, 1969, 3773, 861, 1388, 2879, 9058, 5978, 2592, 3083, 3053, 8538, 6170, 4466, 885, 4646, 1972, 4547, 3562, 320, 5650, 1905, 5963, 2709, 4710, 3994, 8398, 3005, 6140, 3829, 6700, 4154, 2038, 1415, 7182, 923, 4323, 1557, 2154, 9207, 3422, 1637, 9078, 3181, 8332, 4233, 1807, 4832, 7809, 7769, 180, 8108, 7286, 4592, 3691, 7996, 6471, 9115, 7371, 817, 8643, 3783, 751, 9019, 4242, 317, 5141, 6242, 1664, 7324, 3836, 3130, 5194, 6718, 6967, 3693, 1646, 3255, 7357, 4645, 1036, 5317, 1606, 2384, 5098, 6616, 8341, 3405, 6146, 7541, 3857, 6746, 6404, 1055, 7796, 3262, 5824, 4443, 1575, 7434, 6589, 1839, 1611, 7060, 5908, 9167, 3896, 1460, 1107, 3543, 7206, 5821, 3341, 8213, 5382, 1390, 7847, 5959, 2351, 883, 6666, 9180, 3035, 3629, 4580, 3744, 4657, 4604, 612, 640, 6994, 2766, 1579, 3218, 1584, 4026, 3862, 403, 4066, 3642, 5421, 1607, 3911, 201, 3365, 1672, 5181, 7315, 6032, 8083, 3889, 4011, 6824, 815, 2249, 8433, 5091, 1900, 6496, 4007, 7876, 2459, 1602, 5863, 8214, 9104, 6823, 1282, 2191, 435, 3967, 1624, 4398, 8968, 740, 1769, 7041, 3264, 2338, 5038, 4650, 2545, 2084, 5381, 3752, 347, 6307, 5112, 985, 721, 1132, 8710, 9077, 1057, 3653, 1845, 1466, 2540, 8652, 8392, 2030, 1171, 3419, 1621, 4549, 2168, 5234, 4179, 553, 7833, 3358, 5669, 3187, 2801, 6554, 2253, 4631, 3975, 2558, 8386, 2779, 8357, 5593, 5195, 3883, 6302, 3977, 2803, 2991, 5573, 2028, 102, 1178, 4522, 857, 2730, 834, 5360, 4551, 8803, 6326, 6813, 4754, 6944, 5534, 4804, 3369, 6456, 3787, 186, 5030, 8134, 3015, 1469, 7813, 8269, 5156, 1689, 698, 3387, 8088, 4317, 4262, 1077, 30, 7664, 1651, 6260, 4819, 6277, 5555, 6672, 5980, 472, 3493, 3645, 4555, 1387, 8279, 1549, 8266, 7154, 4344, 2397, 8985, 7751, 5418, 3293, 7987, 2725, 7224, 5200, 5363, 7272, 582, 3605, 878, 6010, 4619, 6927, 7551, 4768, 5781, 2874, 8130, 2518, 2343, 6223, 924, 1215, 1487, 5572, 4856, 3326, 7181, 4507, 1630, 4129, 8243, 1605, 445, 3261, 4880, 4068, 1835, 881, 5766, 5927, 1246, 6544, 4992, 8054, 821, 6764, 7490, 8740, 4644, 7098, 992, 1180, 5075, 4779, 8286, 5332, 4928, 4110, 3073, 5430, 3704, 4255, 1983, 6521, 9206, 8504, 6855, 4755, 4954, 7630, 7589, 8367, 8949, 2959, 8690, 5830, 6273, 5284, 5709, 3658, 4062, 1821, 7782, 6774, 4535, 2020, 6495, 3506, 1112, 8153, 3500, 6608, 5679, 9568, 7475, 2156, 9877, 4701, 3680, 7280, 1317, 4035, 6896, 3243, 4515, 405, 6742, 8857, 1750, 7104, 3477, 587, 1113, 5884, 7659, 8478, 6321, 6208, 2440, 4914, 1678, 3798, 7303, 7083, 5855, 2353, 7778, 8528, 5880, 6426, 2722, 8442, 4442, 522, 8499, 4901, 3882, 4805, 6655, 1634, 5847, 8078, 5231, 116, 470, 7133, 3025, 2883, 4671, 1194, 8920, 2780, 388, 3731, 5971, 807, 1891, 8550, 4998, 5260, 2751, 5817, 1806, 4290, 5793, 3418, 8228, 3694, 3208, 2761, 1649, 7718, 5530, 8300, 3695, 6076, 8160, 1988, 6084, 2656, 8258, 6955, 8171, 5286, 1576, 4354, 4251, 3413, 3068, 5968, 7875, 4593, 7729, 8991, 2247, 1592, 848, 3572, 1966, 851, 5607, 5503, 4173, 4182, 4913, 7, 9721, 8674, 3531, 5425, 4775, 299, 4239, 6158, 6707, 3139, 4903, 1863, 8601, 1993, 5859, 113, 8536, 1846, 2659, 7922, 5762, 3392, 8609, 1934, 2172, 7338, 9144, 1221, 8911, 1245, 7504, 2929, 6056, 5630, 4523, 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9900, 3337, 3821, 9696, 8983, 1134, 3163, 734, 1870, 1580, 2179, 4040, 4507, 1463, 8230, 1498, 4334, 1576, 1442, 5369, 6401, 9825, 594, 8594, 7800, 4979, 1724, 7045, 7181, 7984, 8333, 5259, 1682, 1578, 5804, 7924, 4274, 3331, 8026, 827, 3, 4503, 569, 284, 7873, 7847, 4414, 4504, 7324, 2836, 6038, 2446, 2231, 2890, 1805, 7693, 6734, 2647, 2703, 7360, 2504, 7680, 7928, 2351, 5834, 1107, 8215, 2084, 7980, 6171, 5555, 1377, 1974, 7901, 6044, 1441, 2858, 2369, 5558, 6761, 1227, 7775, 1135, 8914, 2173, 9942, 3662, 1367, 34, 8781, 7861, 7651, 4422, 9133, 7542, 3573, 7871, 5580, 4212, 2183, 5650, 6572, 507, 1671, 9719, 8573, 2787, 2711, 6308, 1118, 5836, 2539, 5332, 7684, 6547, 27, 7875, 768, 1306, 8259, 2633, 8255, 5919, 2569, 1998, 2601, 9039, 2734, 8487, 3766, 8652, 2203, 9199, 1662, 6368, 698, 6796, 8031, 196, 5099, 6838, 136, 5226, 61, 1601, 1067, 7714, 5719, 2386, 7573, 4804, 3444, 6232, 2499, 2373, 5632, 8946, 5026, 3370, 2192, 3418, 5156, 5234, 8214, 3927, 3091, 315, 3053, 7648, 8698, 4887, 6167, 3424, 6589, 8402, 6855, 6307, 8083, 9607, 4775, 4447, 4734, 8506, 7148, 5758, 6226, 4730, 4792, 7780, 7337, 1269, 6221, 4372, 6180, 2050, 7723, 2324, 9911, 8494, 5993, 7138, 7007, 1541, 8160, 2776, 4604, 8062, 1321, 7397, 283, 5005, 5442, 1892, 3865, 3688, 5945, 3113, 1522, 6444, 6645, 5461, 962, 4284, 2490, 795, 1503, 2631, 7294, 8251, 7594, 7589, 1953, 700, 7464, 9517, 1550, 3869, 6631, 5277, 7136, 2107, 6305, 2415, 5159, 9358, 1839, 1053, 9783, 8137, 4913, 8953, 8690, 327, 9772, 7623, 6730, 4948, 7521, 3261, 9176, 5368, 3307, 7786, 2962, 4858, 7065, 6676, 198, 3438, 7448, 6188, 6137, 6002, 4639, 6335, 760, 2770, 2638, 9597, 981, 1024, 399, 8223, 4464, 1792, 5909, 833, 460, 2020, 9377, 7125, 8990, 7032, 3954, 8792, 3930, 4545, 7010, 9561, 1736, 2325, 7533, 5469, 7502, 5587, 2035, 3299, 1837, 2732, 8511, 608, 76, 1519, 6356, 3554, 6687, 6045, 3162, 8045, 9166, 1663, 195, 8976, 8109, 3859, 8986, 850, 1042, 9471, 3405, 5809, 4616, 2033, 2146, 2899, 4552, 1590, 1626, 4267, 1874, 2218, 3368, 4955, 606, 9883, 4062, 2600, 5148, 1454, 3931, 8831, 7830, 269, 1727, 1555, 4111, 7303, 3589, 5182, 453, 9513, 6929, 8629, 7565, 285, 771, 5194, 6573, 2907, 6696, 5127, 483, 773, 2750, 4723, 7555, 9097, 1908, 921, 5355, 812, 8872, 2210, 7826, 8536, 724, 1212, 2470, 5383, 3689, 3966, 4138, 274, 46, 4722, 5938, 273, 6768, 2630, 7712, 3056, 4492, 8369, 678, 3544, 5269, 7825, 70, 926, 7401, 1549, 1978, 5662, 5032, 329, 2879, 8944, 1265, 7625, 1343, 3878, 1851, 3768, 4130, 5177, 5168, 890, 5817, 7315, 5066, 2933, 6005, 7384, 2626, 4462, 8277, 2131, 3545, 4570, 807, 9630, 3342, 5486, 7694, 6172, 3490, 7405, 6111, 5360, 2433, 6070, 6019, 8314, 9627, 561, 5025, 1764, 1270, 8055, 512, 264, 9982, 5614, 1175, 1259, 247, 630, 6219, 1065, 8068, 3484, 4196, 2567, 2628, 3656, 3500, 4843, 5862, 7014, 6015, 1213, 1536, 1514, 8106, 964, 2155, 2736, 3243, 5363, 155, 4114, 6007, 1126, 5216, 9004, 324, 2059, 3492, 8662, 3441, 1034, 6302, 995, 2749, 4695, 5545, 3781, 5775, 7534, 6238, 5000, 2659, 8658, 6570, 8718, 6893, 5972, 495, 1962, 1730, 5709, 1637, 3467, 6215, 4393, 851, 8785, 5272, 4186, 5806, 9324, 6691, 1900, 282, 912, 7056, 991, 1785, 520, 3070, 10, 417, 2654, 2395, 3454, 550, 3574, 6430, 5937, 5813, 2986, 1836, 2158, 3099, 7357, 1044, 4222, 2275, 4415, 3609, 2080, 2228, 1771, 5858, 3571, 855, 9138, 3754, 4522, 6902, 1980, 4810, 3604, 3658, 969, 3258, 8555, 6773, 5633, 2358, 1320, 3362, 1038, 6050, 7350, 6041, 997, 1426, 7788, 506, 897, 2671, 1688, 4094, 5203, 2323, 7196, 8058, 6477, 111, 5157, 4051, 1674, 6404, 1052, 2608, 3207, 8278, 1190, 8186, 3887, 8126, 4069, 3801, 212, 204, 8876, 4829, 3824, 522, 5748, 5183, 1088, 3294, 3648, 1600, 101, 1793, 3104, 2944, 3780, 7660, 1461, 1941, 6690, 3295, 1275, 8574, 3164, 9662, 1909, 9829, 1680, 4879, 51, 8269, 7906, 6133, 3641, 4257, 2152, 2412, 7823, 2603, 1849, 3732, 4516, 1097, 3767, 8866, 5342, 3917, 9179, 1664, 8548, 3737, 8534, 4965, 5513, 6759, 7048, 4672, 559, 8932, 4964, 2818, 9137, 2994, 8782, 3398, 1481, 2292, 9714, 2605, 7670, 1350, 8920, 7054, 5263, 9315, 2262, 5415, 1779, 352, 7408, 5118, 4882, 5560, 5292, 1903, 5832, 7371, 2397, 6944, 9831, 3992, 6535, 7817, 4778, 1028, 928, 4928, 4423, 4043, 4946, 6037, 9168, 5365, 1322, 9621, 6574, 240, 2280, 4997, 8819, 5302, 1000, 5510, 3913, 122, 3838, 7520, 8533, 1925, 2716, 4625, 8798, 1072, 524, 2903, 1196, 6402, 8754, 7845, 2710, 8602, 1141, 7985, 925, 2370, 3193, 5733, 6443, 5430, 2861, 197, 4235, 8991, 9650, 7332, 2789, 2272, 1951, 7319, 1470, 5040, 4733, 7779, 7797, 979, 7840, 6000, 5079, 5095, 923, 8017, 9925, 7027, 5139, 3032, 5822, 4602, 9380, 6516, 8490, 4689, 1407, 895, 891, 8348, 2602, 3374, 8167, 1211, 8185, 8343, 4101, 2060, 2637, 5692, 8152, 6770, 8665, 4548, 7059, 4024, 1507, 2555, 8951, 2921, 3621, 1180, 3188, 281, 6207, 6024, 4124, 1247, 3670, 7096, 6391, 1220, 1571, 4317, 2546, 2429, 8491, 9087, 5140, 7562, 1527, 3690, 6315, 8430, 1111, 2085, 7277, 2526, 2940, 2118, 8222, 1902, 634, 4972, 9885, 1203, 6352, 8446, 3478, 9049, 1758, 8313, 4268, 514, 2799, 5932, 2345, 3969, 903, 4907, 6952, 6442, 6121, 4659, 1450, 7229, 5815, 3476, 5987, 5920, 3808, 9027, 3558, 6907, 3761, 3194, 642, 6995, 3139, 7986, 1493, 5447, 2167, 8379, 3795, 6261, 7738, 7182, 8191, 9732, 2253, 4448, 930, 3506, 8262, 1748, 676, 5206, 1045, 7564, 2096, 7756, 2475, 8466, 3937, 6805, 6351, 9654, 4856, 1634, 9681, 546, 1103, 1696, 6889, 963, 6182, 9688, 4674, 8057, 631, 3596, 1389, 2816, 8470, 3033, 1523, 1813, 6990, 2950, 4249, 1513, 3381, 6481, 1740, 7795, 3087, 7191, 6816, 7969, 304, 5965, 6520, 7158, 2074, 7838, 9479, 1556, 8395, 4812, 9081, 4569, 8645, 3537, 8387, 5547, 1801, 3965, 525, 9802, 3445, 5184, 6677, 8190, 8305, 5142, 5489, 9834, 2886, 1248, 7354, 6494, 6607, 4535, 8674, 8385, 1912, 5795, 2978, 6464, 1690, 6309, 6158, 6630, 1981, 2417, 1278, 8410, 9073, 4745, 167, 4465, 377, 7848, 7843, 5198, 8954, 3287, 8231, 7274, 4429, 7748, 2016, 4947, 4200, 6875, 2650, 6752, 1387, 4891, 8935, 6824, 4787, 8591, 9436, 8181, 9057, 1627, 1834, 590, 7338, 3739, 3928, 7124, 7472, 789, 1575, 1342, 179, 7075, 5749, 6285, 4252, 6502, 5613, 1057, 4597, 4092, 84, 4061, 5880, 4530, 9330, 484, 4960, 7461, 4699, 8161, 403, 2763, 110, 1205, 2741, 3165, 1583, 6080, 8444, 4688, 6783, 9100, 4458, 1618, 3008, 5952, 320, 9520, 8119, 8051, 5001, 2558, 8442, 8546, 9170, 2196, 7151, 7503, 859, 6091, 6060, 2961, 3936, 7367, 2929, 431, 8699, 8462, 7343, 8843, 8943, 2781, 591, 1750, 9923, 5584, 8249, 7642, 8525, 528, 3114, 1811, 7796, 6818, 5617, 1846, 5511, 310, 4416, 690, 2644, 2426, 4529, 6375, 7060, 9384, 2779, 781, 1026, 1749, 1708, 242, 5180, 7538, 725, 4344, 5451, 2458, 2812, 223, 3429, 2522, 5974, 151, 8661, 5132, 4509, 5923, 5628, 191, 7740, 2047, 7643, 5441, 3247, 6223, 4291, 1824, 8962, 3995, 3776, 8097, 996, 6173, 4620, 8268, 2120, 1062, 1501, 4636, 6418, 1623, 2242, 6762, 9670, 8098, 7864, 6433, 3268, 7872, 6460, 6382, 8209, 6040, 2134, 208, 1482, 7897, 6441, 1183, 8448, 60, 6229, 52, 4906, 1416, 298, 4264, 9430, 6153, 5644, 8644, 7634, 482, 1354, 2768, 8004, 2745, 754, 4096, 8457, 7166, 5381, 9722, 3734, 864, 9917, 693, 3118, 1423, 8760, 5983, 706, 9187, 6745, 4445, 9061, 5457, 2214, 1711, 8762, 4243, 8465, 1312, 2624, 2609, 8608, 5776, 7487, 8979, 8002, 695, 8372, 6881, 3064, 1473, 7654, 1305, 7834, 9295, 1137, 4103, 6812, 2219, 1768, 3136, 5675, 7436, 6313, 737, 5251, 8345, 4231, 1994, 9408, 8020, 9907, 808, 2936, 7456, 4364, 210, 6210, 8777, 982, 5464, 6575, 2503, 961, 7527, 4752, 2676, 1799, 5812, 8611, 2195, 295, 8725, 9147, 884, 7563, 4902, 3248, 7557, 7841, 4675, 8013, 4160, 4087, 5491, 4815, 5508, 4211, 7460, 8411, 171, 2182, 3698, 6484, 6576, 9278, 7251, 6667, 8296, 5462, 2048, 1129, 1537, 1728, 7167, 2668, 9113, 3412, 1628, 4036, 3411, 7263, 479, 8975, 8803, 1735, 7766, 3740, 9640, 739, 887, 7093, 7006, 4376, 3297, 967, 2679, 7778, 908, 2288, 2515, 1982, 233, 3905, 6166, 8024, 5523, 347, 5970, 3483, 4876, 3298, 2394, 8392, 135, 4475, 774, 6950, 5877, 2905, 8175, 9552, 1619, 1878, 9310, 5035, 446, 6322, 1954, 9555, 7493, 1415, 15, 5520, 6056, 9522, 7949, 8275, 2145, 2331, 2713, 8323, 6715, 1763, 3755, 6742, 7091, 4881, 6977, 5502, 3351, 9804, 733, 7962, 2959, 6354, 2359, 7346, 5443, 3539, 2125, 4927, 8353, 134, 5724, 1386, 745, 393, 7398, 3167, 527, 1245, 5884, 2751, 9116, 8598, 3092, 8035, 8177, 799, 2928, 2229, 1729, 2866, 5888, 5280, 5207, 157, 4141, 1712, 751, 7380, 5414, 9157, 6621, 9835, 8195, 1683, 7572, 761, 7635, 7245, 3723, 5087, 5209, 8585, 8528, 7342, 7283, 3169, 7698, 8289, 2911, 4246, 7833, 5243, 1973, 8744, 8346, 1997, 7802, 8737, 2139, 88, 2740, 8118, 7477, 7633, 7784, 7932, 944, 7395, 1678, 1596, 4322, 4041, 7992, 1587, 5438, 4044, 5670, 7669, 6599, 3549, 1352, 4673, 8381, 2441, 2416, 2161, 4179, 4326, 8403, 3696, 4080, 5316, 267, 1071, 914, 5579, 2562, 3027, 4258, 1605, 8238, 2143, 6658, 4514, 526, 1316, 9409, 2430, 4269, 1924, 7255, 2184, 5244, 5090, 5081, 2912, 6723, 7169, 8824, 8997, 7855, 3120, 4984, 2333, 3074, 4371, 9043, 6637, 2201, 64, 3830, 2579, 6183, 8606, 7389, 8350, 8120, 8566, 8146, 3470, 972, 2993, 2392, 2966, 6241, 6128, 8999, 4066, 1563, 8894, 988, 6951, 8151, 7022, 1446, 6878, 6008, 1807, 1144, 7094, 7159, 7889, 9198, 8397, 4426, 5871, 6310, 1397, 7749, 6115, 5664, 8052, 692, 7047, 8000, 3141, 8242, 2523, 5648, 6668, 5741, 3974, 7545, 3625, 8864, 8227, 313, 8196, 5008, 7365, 8837, 4818, 5482, 2607, 2963, 3292, 7610, 2116, 5246, 496, 7040, 2165, 5835, 3089, 4784, 7719, 6529, 4476, 5753, 7885, 584, 866, 3655, 9172, 18, 7459, 1235, 256, 4048, 4574, 5017, 1557, 9429, 2154, 3296, 617, 6890, 8856, 1068, 4213, 564, 2904, 3432, 1687, 8654, 132, 1615, 3741, 633, 7128, 211, 5051, 635, 3443, 3598, 9958, 9591, 1130, 1047, 7288, 7504, 2841, 4173, 580, 8447, 2775, 1080, 2431, 8502, 5146, 2098, 3514, 4681, 3216, 4909, 226, 6663, 9610, 858, 8042, 7168, 1769, 2019, 6239, 8613, 2973, 1858, 6378, 5164, 6278, 8692, 318, 5047, 3219, 5498, 5723, 2634, 1520, 6941, 7659, 1384, 6795, 8229, 3373, 870, 504, 1371, 2815, 2363, 2701, 2073, 8768, 4010, 6383, 8504, 3836, 5851, 7140, 7070, 4941, 2385, 2072, 6997, 7938, 8706, 1017, 8984, 6539, 6455, 7067, 429, 9202, 5003, 1860, 8552, 6299, 3752, 910, 6157, 4633, 5615, 9006, 6390, 336, 7316, 2401, 2157, 8653, 7020, 9171, 6685, 4351, 1655, 5495, 9639, 3371, 5072, 3427, 8376, 2508, 7931, 2702, 744, 1121, 5976, 5423, 3010, 5691, 2216, 1405, 7171, 1267, 9433, 1181, 5037, 1043, 2001, 8657, 2382, 1242, 480, 6339, 3984, 2880, 7664, 5810, 2583, 277, 2160, 3842, 83, 411, 5239, 6861, 5398, 6849, 1066, 3345, 1139, 6993, 9625, 5227, 9213, 7481, 7908, 9606, 8901, 557, 3697, 8254, 7235, 9144, 3926, 5042, 9776, 1772, 1179, 1471, 518, 1132, 3501, 9224, 9284, 2045, 3153, 1087, 6027, 1284, 803, 8637, 1553, 3222, 5503, 4770, 5041, 5611, 7764, 835, 4592, 2418, 2934, 4526, 1214, 4313, 1310, 599, 1897, 8168, 7030, 3584, 1624, 8727, 4776, 6213, 1252, 936, 236, 5144, 4940, 7300, 1868, 4240, 8556, 8370, 9782, 6191, 7965, 4816, 6328, 1821, 7996, 6257, 1579, 3075, 1276, 7195, 1291, 100, 6634, 7810, 1545, 8640, 7790, 1197, 9848, 252, 3179, 9096, 9180, 4170, 7066, 9871, 4701, 372, 4359, 5439, 229, 2846, 9155, 3778, 3129, 6585, 3904, 3586, 1794, 4033, 624, 9545, 5570, 7039, 6440, 6266, 2746, 3227, 6874, 2788, 3196, 670, 2773, 6273, 4430, 1899, 4974, 7507, 7321, 4409, 1443, 2888, 3933, 1647, 3481, 2117, 2238, 8949, 5481, 3947, 976, 6483, 2920, 4538, 8964, 1090, 802, 2697, 709, 7893, 7943, 3959, 9084, 825, 9162, 736, 1731, 129, 1060, 2343, 6412, 4438, 4893, 7937, 4497, 1215, 9205, 2307, 7724, 5224, 6802, 6748, 8945, 2013, 3502, 8616, 5649, 238, 3612, 4454, 2387, 6381, 7617, 4007, 7528, 621, 4425, 5122, 8605, 7737, 4216, 4119, 1393, 4060, 2885, 3265, 6879, 7403, 8873, 4498, 9279, 3009, 1453, 4635, 1148, 9393, 2250, 826, 1983, 6828, 3624, 6782, 3960, 1911, 9592, 8475, 7072, 5044, 4229, 8770, 8434, 8641, 1643, 513, 8558, 6930, 9063, 6214, 1390, 4435, 8730, 717, 368, 3694, 1370, 448, 6536, 2007, 2482, 6842, 583, 5120, 8009, 3160, 6456, 2908, 1357, 6905, 8683, 753, 3333, 8863, 2707, 8646, 5779, 8421, 6735, 1102, 0, 477, 184, 2917, 3881, 1850, 3513, 2241, 3040, 5413, 4369, 4772, 5785, 9852, 5427, 5050, 8838, 1432, 8961, 6211, 4921, 8335, 2730, 5241, 7259, 5485, 977, 8188, 7863, 2294, 5170, 794, 9889, 7513, 6939, 8153, 1882, 322, 9257, 3242, 4855, 6992, 4081, 8342, 2176, 3461, 6806, 7812, 288, 3022, 3014, 8482, 728, 3708, 5326, 848, 5181, 879, 3592, 770, 805, 782, 1145, 3748, 3607, 636, 1815, 9228, 8069, 5936, 3185, 153, 3038, 2852, 822, 8934, 1237, 6716, 6370, 9269, 2062, 933, 3343, 2622, 8753, 7809, 5977, 2964, 3229, 6606, 8298, 3496, 1143, 6009, 1314, 5202, 2087, 8524, 1778, 4134, 4468, 4980, 6349, 5256, 6956, 6848, 7194, 4380, 7501, 6258, 9803, 1487, 7926, 4309, 645, 811, 1296, 9140, 9584, 9754, 1159, 5844, 5014, 9080, 1656, 6360, 2293, 5455, 275, 6921, 139, 8702, 7836, 2090, 4622, 4187, 3700, 943, 6255, 7902, 1725, 6972, 4988, 1140, 1078, 3868, 8676, 8437, 5215, 2839, 8579, 5747, 2044, 192, 9247, 387, 2869, 6113, 8941, 265, 8092, 6204, 2066, 607, 357, 8717, 2878, 2825, 258, 7799, 7081, 4511, 9567, 5656, 1894, 8626, 508, 5792, 1577, 8842, 8694, 3138, 4595, 4880, 7230, 7596, 2584, 1010, 9706, 6684, 4611, 7782, 9110, 7948, 1693, 8085, 3644, 2166, 8149, 4727, 6553, 1262, 953, 3511, 1539, 9715, 2030, 2423, 6897, 6445, 6201, 4188, 1127, 1809, 5586, 6170, 488, 5745, 959, 1223, 2000, 7667, 6506, 4860, 232, 2875, 6537, 9611, 5583, 4841, 6082, 6635, 7200, 4412, 5460, 2264, 7444, 1568, 7211, 4656, 2856, 7649, 6264, 7856, 9718, 2828, 3762, 3123, 9268, 7079, 3857, 7083, 4835, 9503, 6693, 2442, 9101, 7882, 4491, 956, 9164, 6789, 9602, 922, 7959, 8166, 2191, 5688, 2512, 1303, 7870, 4679, 87, 3628, 8854, 2299, 4360, 602, 5820, 6958, 5621, 7149, 1036, 8295, 1999, 7896, 2443, 5922, 8830, 2589, 2538, 319, 2255, 2926, 8171, 7139, 9603, 1391, 1207, 3580, 5585, 7018, 4956, 1504, 21, 9494, 8226, 1584, 3566, 9729, 382, 8093, 9785, 1756, 2778, 3257, 7287, 5163, 7736, 2500, 7327, 9899, 4938, 9020, 4763, 2285, 7455, 4834, 8840, 2318, 7036, 1597, 819, 1233, 3419, 800, 8426, 9069, 5764, 5213, 1239, 8256, 9891, 3769, 412, 1485, 7034, 104, 3932, 1497, 9243, 294, 965, 457, 4618, 1784, 278, 9163, 4279, 1012, 1056, 1271, 6584, 7913, 4647, 9549, 2577, 1272, 102, 9932, 6578, 8103, 787, 9588, 4440, 9154, 2021, 5807, 1277, 9818, 6392, 2310, 5797, 7076, 3727, 5574, 7041, 6991, 8321, 7348, 937, 7829, 9127, 6625, 8148, 3282, 5276, 8874, 6353, 5048, 2234, 3536, 348, 1895, 1250, 6705, 9979, 6688, 7934, 6039, 8164, 1414, 8664, 5313, 1201, 6122, 8823, 5765, 2951, 9839, 7023, 6271, 2400, 7951, 1665, 2383, 3867, 3827, 1777, 6695, 2553, 4728, 3646, 8886, 13, 5984, 8839, 7993, 1039, 2984, 1330, 334, 9676, 7506, 2798, 902, 7170, 3078, 1396, 1340, 5039, 4163, 378, 1035, 1466, 6562, 3503, 687, 9475, 9790, 9111, 6136, 8232, 9048, 8820, 8919, 671, 1009, 1004, 2246, 7679, 1382, 5955, 8619, 4896, 5531, 8005, 9075, 5768, 6549, 1720, 7608, 3276, 8086, 9215, 968, 9099, 9263, 4705, 2172, 4584, 2909, 9108, 9023, 9030, 5386, 3316, 2720, 5402, 7463, 6397, 8034, 4939, 8723, 4687, 2130, 1770, 3799, 1092, 9470, 5401, 1448, 487, 6161, 5191, 6355, 1952, 4621, 1298, 4304, 5080, 3854, 5677, 7385, 7150, 225, 3758, 4606, 9963, 3269, 3890, 8748, 4115, 9571, 9194, 809, 6225, 302, 2212, 540, 8825, 6813, 8095, 7708, 4391, 3475, 7435, 7876, 2942, 7420, 8476, 2598, 2850, 4328, 5816, 8393, 7153, 6228, 1721, 4038, 8861, 8639, 1745, 1645, 5011, 6903, 89, 7559, 7186, 7720, 3460, 2377, 5689, 3907, 647, 7530, 509, 114, 5839, 4276, 3431, 4558, 2368, 5116, 4396, 4009, 9064, 2200, 2259, 4768, 8427, 4544, 7998, 1879, 7396, 1795, 1280, 9122, 5957, 7760, 2082, 3184, 2952, 3784, 2381, 1632, 2980, 2198, 3414, 2791, 4624, 2693, 7734, 3360, 3290, 7145, 8248, 907, 1341, 4478, 5905, 6138, 1854, 8301, 2561, 9192, 325, 7046, 9212, 2738, 8806, 6760, 7653, 17, 6706, 2560, 9447, 5490, 6259, 2566, 8048, 7003, 5312, 7890, 7689, 8363, 7109, 9114, 2767, 990, 8239, 2972, 2786, 2514, 3747, 8038, 332, 6739, 2110, 5767, 6896, 8110, 869, 9037, 6265, 8007, 1766, 4777, 6209, 8865, 7242, 4658, 7471, 1299, 6968, 4694, 856, 6899, 8072, 3002, 8033, 5232, 8958, 7210, 3543, 9255, 7811, 2023, 816, 6733, 4055, 1392, 2309, 176, 8142, 7915, 7966, 6116, 6509, 6074, 8963, 1977, 4000, 2471, 2642, 1567, 67, 2390, 3270, 37, 632, 7467, 9701, 5627, 6169, 4306, 119, 9210, 9877, 2652, 8415, 8774, 1803, 9768, 8593, 4153, 3829, 7476, 8404, 2254, 5445, 499, 4202, 1334, 3623, 7498, 503, 6590, 2616, 684, 1349, 4192, 8316, 5101, 8010, 8578, 3541, 3834, 6292, 5255, 5762, 9671, 7483, 877, 8122, 1652, 6777, 8114, 8123, 2046, 6833, 896, 8604, 9941, 7930, 4649, 2675, 4015, 3891, 7206, 9274, 3523, 1031, 1922, 435, 3402, 6480, 7804, 8635, 6198, 3304, 3206, 2497, 7828, 6279, 8989, 5910, 3385, 906, 8659, 7900, 1534, 4112, 2923, 8464, 2692, 938, 1186, 386, 4085, 5639, 960, 8895, 2563, 2316, 4609, 9085, 1219, 697, 1546, 9774, 872, 62, 4568, 3661, 6319, 8292, 8193, 162, 8977, 3477, 3086, 4400, 2670, 9826, 3669, 6710, 2263, 6948, 415, 3618, 91, 2696, 8765, 9458, 3800, 622, 9753, 7491, 7895, 6021, 9760, 6928, 572, 9943, 6205, 1969, 5271, 6953, 9293, 5588, 6906, 1558, 41, 109, 2955, 6612, 4759, 8508, 837, 3790, 8769, 3985, 4150, 4550, 2987, 4120, 8952, 1620, 726, 3879, 9872, 2969, 8401, 2056, 12, 3729, 8036, 2424, 6517, 4058, 5169, 214, 9175, 3608, 3672, 8960, 8312, 2024, 6224, 6565, 7789, 7758, 9391, 244, 8003, 420, 401, 3348, 538, 1216, 2265, 8479, 8567, 2002, 7249, 2091, 1675, 8880, 3077, 8417, 465, 2088, 4872, 7519, 4016, 9002, 2855, 3234, 5959, 3094, 6432, 7218, 2902, 7248, 8331, 3321, 4700, 8360, 2396, 7130, 3266, 1209, 5188, 44, 8892, 8910, 8550, 8386, 9297, 7877, 7107, 5948, 8416, 7058, 8362, 6379, 1755, 4712, 1931, 3731, 1202, 9178, 8228, 3719, 451, 4091, 628, 6457, 7275, 1116, 47, 8711, 3862, 263, 3256, 4098, 2663, 7113, 6913, 778, 1150, 6775, 8315, 4542, 2352, 6712, 9294, 9015, 7954, 1172, 780, 4567, 8577, 575, 4546, 8145, 8741, 8955, 7123, 2769, 1884, 9036, 7911, 1451, 146, 9034, 90, 2239, 8423, 1975, 9189, 2015, 7025, 1947, 2545, 8804, 1984, 2355, 1444, 5397, 7958, 8568, 1251, 7393, 7090, 364, 3505, 8492, 9658, 1455, 7165, 2534, 9193, 2135, 7575, 3156, 434, 1101, 3991, 7725, 8105, 414, 7717, 6860, 1551, 2737, 4408, 9916, 7426, 1976, 1439, 589, 6294, 2483, 3122, 8868, 5222, 260, 2592, 8564, 8354, 7955, 8877, 5104, 9364, 4824, 6075, 1063, 8276, 7950, 8612, 1255, 8632, 9413, 6850, 7777, 370, 8424, 4354, 7175, 8633, 8849, 3007, 3463, 22, 1898, 8165, 8995, 2029, 3063, 3614, 297, 2010, 9118, 9066, 7658, 4613, 7891, 6738, 8140, 3990, 9012, 5524, 7416, 4802, 4406, 5634, 9290, 542, 2488, 3535, 9191, 8070, 9266, 935, 9301, 7707, 8001, 2425, 397, 3239, 4333, 2864, 894, 8049, 7212, 8516, 290, 1288, 486, 2784, 7252, 1670, 128, 2744, 6190, 2755, 6304, 4598, 7917, 4113, 2119, 5536, 1110, 6275, 8012, 668, 2335, 6105, 8869, 185, 4185, 3886, 1033, 9977, 8505, 8851, 3640, 339, 6532, 7919, 8734, 2922, 6979, 6966, 4817, 7029, 1830, 3344, 5681, 3382, 2449, 9211, 4387, 3888, 7624, 4962, 9252, 4166, 1001, 6459, 2979, 219, 8023, 5715, 5085, 6123, 6652, 7759, 103, 863, 7318, 6249, 2493, 4693, 2893, 4419, 1704, 1086, 7232, 5230, 3743, 5473, 369, 829, 8022, 6682, 5507, 6142, 8192, 9225, 1154, 766, 3347, 7392, 3241, 8648, 4488, 3085, 1705, 3100, 4178, 7424, 19, 1883, 5706, 2743, 8056, 8204, 9680, 8044, 7665, 8993, 2804, 3061, 6859, 6962, 3811, 9207, 8030, 4273, 7265, 2083, 166, 3367, 9244, 7791, 2108, 8610, 6982, 1401, 1430, 8291, 7031, 9467, 7851, 7203, 1081, 1812, 1613, 7626, 9762, 2728, 80, 9158, 4353, 9578, 2543, 790, 9966, 9587, 7862, 6147, 849, 9653, 620, 8554, 7874, 3217, 6301, 8545, 2039, 7190, 5890, 2975, 9459, 8726, 4019, 5094, 2480, 3841, 3782, 8317, 440, 6820, 7910, 8015, 9738, 5818, 8307, 7824, 3519, 7279, 7269, 5860, 4002, 9403, 7704, 6377, 3720, 9374, 4985, 8927, 2336, 9044, 8425, 4994, 3710, 9103, 1002, 2102, 4968, 1838, 7482, 5687, 9195, 8575, 5071, 8225, 8879, 7143, 9948, 6286, 8211, 7577, 2664, 3232, 9160, 2354, 755, 4097, 5115, 7657, 2870, 7601, 1933, 6613, 5219, 6987, 296, 3702, 6160, 4139, 5426, 7069, 5624, 7925, 4806, 376, 8178, 7746, 8724, 5266, 9161, 5533, 6416, 6959, 8638, 8066, 6110, 418, 7639, 3919, 7043, 7956, 8631, 1234, 4135, 6435, 7473, 3924, 3560, 6387, 8339, 1210, 7225, 4739, 2821, 5999, 8660, 8679, 6405, 9837, 8016, 3653, 3067, 6973, 9912, 5991, 8826, 8671, 7042, 5708, 1070, 4865, 7026, 463, 9865, 2452, 603, 441, 516, 3449, 6717, 8791, 3673, 8260, 3843, 8597, 4434, 359, 428, 7574, 7187, 9589, 1820, 8084, 8459, 4402, 8187, 9028, 1188, 3128, 5422, 9214, 3831, 4924, 5895, 3488, 2876, 5949, 1965, 1991, 5374, 8705, 5619, 9609, 4692, 1478, 6371, 9010, 9909, 1960, 5314, 9245, 8916, 8778, 160, 8258, 682, 7990, 3281, 3746, 2305, 4534, 6491, 2071, 8761, 7080, 2536, 5805, 305, 6933, 1787, 8642, 395, 7244, 2646, 5125, 3150, 279, 2438, 3192, 8607, 4336, 7485, 6872, 7652, 6891, 1425, 1706, 1831, 9540, 9022, 5914, 9957, 9664, 4303, 7540, 4847, 1573, 4634, 7180, 5867, 8672, 3971, 3920, 8179, 2498, 9361, 2112, 6263, 8337, 9968, 6604, 765, 9697, 3634, 1208, 8028, 1192, 9354, 1780, 2168, 5318, 7991, 498, 3366, 952, 2456, 9003, 9554, 9078, 2572, 7201, 7681, 3251, 8513, 2133, 8495, 9638, 413, 2840, 7021, 1881, 6367, 4199, 2554, 1005, 9306, 2860, 5969, 9646, 7602, 9752, 4627, 7331, 7431, 966, 1100, 8253, 8799, 4089, 6883, 2361, 1703, 2548, 392, 7716, 4128, 8060, 125, 3357, 2913, 8071, 3668, 7798, 8771, 3109, 9876, 7997, 8871, 1323, 2040, 6206, 7705, 9442, 7865, 3031, 6081, 6407, 2897, 5073, 3168, 9693, 9130, 8805, 3157, 7691, 168, 6023, 2473, 2706, 3770, 7284, 7672, 4441, 648, 9165, 2194, 915, 4421, 3073, 552, 8484, 6012, 8212, 7378, 1261, 4389, 1027, 8852, 9703, 4352, 9728, 7721, 4713, 4981, 3279, 8985, 9009, 7597, 8788, 2824, 7147, 8601, 7566, 2844, 4088, 3093, 8807, 5782, 8449, 1533, 1486, 6981, 7846, 9949, 8443, 1816, 3059, 9383, 581, 9717, 3978, 4950, 8589, 8888, 3383, 7488, 257, 9507, 1658, 8194, 1661, 4104, 2524, 9819, 3610, 2715, 8394, 7227, 8159, 4859, 9112, 4703, 7731, 5569, 7763, 7690, 1184, 8131, 9208, 1927, 361, 6250, 5205, 3757, 5845, 8087, 6904, 9000, 9379, 86, 7449, 2974, 3777, 300, 3191, 6, 1467, 8821, 7270, 4361, 6884, 6856, 6067, 8596, 3645, 491, 6427, 705, 9355, 656, 6971, 1622, 9190, 6957, 9702, 2204, 374, 2759, 4849, 3856, 140, 9008, 4512, 784, 7550, 58, 2519, 165, 9222, 4729, 9612, 8559, 1617, 1530, 9332, 4809, 9089, 3305, 7927, 7374, 8814, 9975, 8764, 8670, 4343, 9797, 5514, 3323, 5417, 3679, 8759, 7173, 28, 3508, 7835, 6306, 7106, 639, 5433, 9182, 7711, 8128, 4875, 530, 2420, 40, 662, 1928, 7603, 9716, 5392, 9437, 6835, 2063, 8338, 1344, 8939, 752, 3742, 9779, 6704, 7675, 8041, 468, 3018, 4156, 2576, 532, 653, 7222, 875, 2207, 7974, 7400, 9724, 9392, 5842, 6976, 4327, 3001, 759, 458, 3356, 8155, 8746, 2211, 7821, 8489, 7062, 8445, 1231, 8127, 854, 7727, 1375, 7301, 3627, 7903, 8563, 8688, 5185, 2413, 8099, 6873, 9737, 6163, 9292, 422, 8203, 6104, 7164, 4920, 7297, 9117, 6619, 9808, 6454, 1465, 4180, 5236, 4107, 4395, 7952, 5299, 9226, 45, 2291, 4483, 7754, 8439, 7944, 289, 3559, 7935, 7314, 8712, 5077, 7453, 6767, 8936, 24, 1804, 8796, 9619, 4456, 9425, 8812, 6772, 9922, 1848, 2461, 9221, 7867, 1916, 1759, 1865, 4904, 9024, 4116, 33, 5370, 1940, 8234, 8037, 2149, 9894, 3340, 1424, 1348, 3717, 7880, 2859, 3311, 8714, 2501, 3691, 1734, 1419, 3339, 2031, 9726, 9152, 8780, 4433, 9451, 5831, 4564, 2830, 2842, 6808, 9508, 9456, 4079, 9007, 7963, 2725, 360, 978, 7647, 7122, 8173, 276, 4241, 2357, 375, 6291, 8221, 8971, 8169, 5389, 947, 9487, 3987, 2614, 8855, 3921, 6327, 3665, 4072, 5981, 4073, 7474, 1373, 683, 8201, 2360, 7254, 266, 5716, 8959, 1365, 2187, 301, 8180, 8592, 993, 8923, 9342, 9105, 6438, 14, 365, 5176, 7339, 1115, 8047, 4801, 2709, 1268, 9303, 54, 4034, 9970, 4654, 6678, 1586, 169, 6449, 8967, 8422, 9060, 566, 2540, 613, 3935, 1381, 7671, 9083, 56, 3220, 7771, 5577, 6434, 9971, 6395, 7433, 8218, 1913, 7783, 5916, 4869, 7814, 9472, 9560, 6923, 8473, 4871, 5273, 7344, 416, 4063, 2328, 6605, 5883, 7074, 576, 4888, 5625, 9333, 9287, 485, 1798, 2588, 8882, 2474, 9947, 8845, 4930, 3796, 9789, 3096, 6253, 1970, 9961, 8783, 9338, 8860, 270, 2221, 9806, 7402, 6501, 7807, 9420, 5454, 5841, 2704, 4209, 2662, 4918, 6681, 9847, 9978, 2677, 4256, 3176, 3845, 1163, 7529, 8101, 4232, 8485, 9773, 1593, 144, 8551, 6749, 6003, 8595, 4413, 2724, 8308, 9536, 6314, 818, 7033, 596, 1760, 6486, 4108, 2723, 2314, 9250, 2, 5496, 2735, 4357, 1411, 7606, 1413, 7588, 8630, 6282, 6034, 9861, 2625, 6571, 7108, 9462, 6079, 7739, 7773, 3999, 8235, 5730, 7281, 8472, 4629, 5853, 4077, 7837, 16, 2121, 31, 6840, 2528, 8433, 444, 813, 5944, 9757, 640, 3322, 8570, 8349, 1170, 9184, 381, 8210, 8382, 4783, 8853, 9450, 1253, 1929, 6345, 8302, 4182, 9534, 6920, 8327, 6533, 8773, 824, 1855, 6925, 3028, 1300, 6829, 8922, 500, 462, 9045, 8913, 9684, 9689, 2341, 7747, 8233, 746, 5082, 585, 8972, 1400, 9480, 4090, 9317, 6521, 8833, 2140, 5307, 4999, 9227, 2851, 718, 1702, 5629, 5729, 8407, 7960, 6340, 8624, 6807, 1236, 220, 3328, 5736, 1714, 3853, 4350, 3472, 1589, 1351, 7674, 9253, 7627, 957, 8908, 2527, 1800, 685, 1552, 3864, 8758, 5456, 7946, 1560, 8440, 8527, 5471, 5907, 5155, 3527, 6235, 4282, 6595, 7208, 713, 3003, 7272, 3388, 9183, 6281, 6550, 3579, 6262, 7452, 9492, 9242, 9879, 5538, 6194, 7317, 8184, 2068, 8526, 8081, 8709, 8046, 8948, 4152, 7114, 8878, 1592, 3786, 8318, 9285, 9067, 437, 7443, 7808, 4319, 5953, 9134, 7921, 8937, 8728, 7595, 8420, 194, 442, 9428, 998, 6530, 9385, 2685, 6940, 5395, 5546, 5889, 8899, 720, 5609, 1987, 5076, 493, 4967, 8053, 9873, 2141, 8364, 5572, 6276, 9897, 3313, 9476, 9313, 8745, 5379, 358, 9645, 9499, 7188, 3329, 2537, 8742, 202, 7581, 9407, 1857, 9857, 7827, 3103, 8691, 8996, 2695, 4378, 571, 9699, 1030, 7387, 7741, 8467, 2260, 7929, 7381, 3448, 9537, 8074, 7049, 268, 2783, 8499, 9238, 650, 5154, 94, 3062, 9635, 5189, 9969, 5721, 4471, 1362, 5601, 7121, 7941, 9150, 7618, 6610, 4065, 5467, 8297, 2690, 7209, 9972, 8834, 6632, 9185, 3593, 2845, 8288, 8383, 43, 1309, 9781, 7977, 9780, 4283, 2792, 8493, 3568, 8649, 6740, 8930, 4740, 4599, 7515, 8541, 1826, 1733, 723, 9351, 2053, 3317, 5940, 3452, 2550, 5336, 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0, 5290, 8559, 3950, 5494, 6433, 3896, 974, 5543, 5970, 4598, 6425, 4564, 7889, 4890, 1587, 267, 4731, 8055, 3894, 4721, 4096, 5372, 5161, 9004, 8786, 6684, 102, 8984, 3759, 3410, 6934, 3408, 3919, 5939, 1741, 1666, 9038, 3170, 1122, 1676, 5216, 8134, 3395, 3049, 3465, 7365, 2289, 57, 8519, 3310, 8670, 3913, 3028, 8139, 8350, 2017, 8330, 7617, 6087, 1072, 4877, 6521, 9019, 3190, 4240, 9413, 1521, 6407, 2906, 6453, 3780, 5731, 3108, 1883, 7868, 5037, 7593, 5799, 8455, 5771, 3675, 4321, 8918, 4101, 8129, 1269, 675, 4082, 942, 1335, 5539, 5387, 9825, 4678, 4801, 6099, 2686, 5748, 422, 9110, 8604, 6024, 928, 853, 5324, 143, 3650, 8527, 1964, 5820, 5366, 4353, 3834, 6531, 5052, 5741, 4430, 1756, 8472, 2722, 7606, 5287, 4976, 4188, 5913, 2277, 7570, 5115, 4355, 7006, 7129, 5808, 5817, 5199, 5065, 2904, 6705, 6369, 3290, 5211, 2224, 7836, 1496, 4684, 4297, 7813, 5582, 4214, 8115, 5284, 8194, 6619, 7575, 8026, 1191, 1151, 3848, 8928, 1723, 646, 9150, 7865, 1254, 5636, 3107, 6398, 848, 4548, 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469, 3041, 3599, 1792, 6783, 3658, 8203, 3962, 1906, 6219, 7225, 4615, 683, 1347, 6761, 2656, 6899, 4122, 3671, 2415, 5270, 1747, 6469, 5614, 3531, 6122, 7644, 7219, 5423, 8547, 4500, 8054, 2044, 56, 6037, 8105, 7456, 805, 8497, 1946, 8877, 6566, 1900, 2861, 9788, 2608, 3842, 3390, 6432, 880, 8506, 3610, 1570, 1279, 1246, 2803, 1621, 4819, 2251, 1651, 7334, 1945, 6045, 217, 3522, 5018, 2094, 6735, 2855, 755, 8268, 2080, 1780, 1882, 7840, 5318, 5498, 8968, 8732, 2573, 2575, 2370, 15, 3361, 1390, 5918, 7312, 4249, 1343, 5059, 7847, 2028, 5768, 8615, 3632, 6622, 8390, 4903, 5596, 7027, 8478, 9591, 1193, 6709, 8332, 4722, 478, 6702, 8463, 7618, 5194, 7556, 761, 6103, 1795, 8286, 4467, 4569, 7091, 1571, 3427, 9573, 2645, 1871, 4190, 7984, 7044, 5945, 8675, 3772, 1655, 4705, 2721, 8857, 5525, 667, 6559, 6034, 8000, 3424, 6603, 3781, 5644, 6901, 3648, 6971, 4675, 8536, 8489, 317, 8891, 2887, 5875, 8235, 2921, 8624, 3573, 8788, 4411, 8120, 5241, 3518, 3242, 8572, 7477, 4577, 5327, 7479, 1579, 301, 6888, 6485, 9422, 5766, 6094, 7875, 9826, 5260, 3889, 3364, 6955, 8541, 8830, 4540, 7101, 8, 4409, 9426, 9158, 3975, 1483, 5880, 1604, 2139, 4114, 8324, 3937, 7235, 7353, 3955, 5711, 602, 4069, 3173, 1164, 9062, 9899, 1428, 7398, 3472, 4051, 554, 8041, 9002, 7397, 8093, 6945, 2325, 7991, 6643, 8893, 1978, 195, 1282, 6243, 7588, 6846, 6282, 855, 3645, 6618, 5584, 6980, 1012, 909, 2971, 2564, 3646, 9468, 7497, 4998, 5064, 6096, 8295, 7677, 6142, 4871, 3820, 5425, 7561, 3207, 963, 92, 7287, 412, 1764, 283, 3766, 6496, 2647, 6428, 8617, 2198, 8314, 4602, 110, 9191, 1614, 5352, 7357, 8649, 6715, 3869, 6017, 6434, 1055, 6638, 1007, 5463, 8263, 426, 492, 372, 4894, 37, 4974, 167, 7203, 5850, 7434, 5867, 2299, 94, 4183, 1553, 390, 8935, 7532, 1962, 234, 1274, 2951, 7055, 1298, 6441, 8780, 3467, 6220, 3517, 2035, 5694, 5955, 5193, 4285, 516, 8665, 4880, 210, 87, 5322, 4419, 9628, 8588, 4563, 3672, 3574, 5286, 4554, 3203, 6707, 9083, 3923, 1301, 378, 4536, 8710, 3879, 2321, 8207, 1352, 6912, 7627, 8855, 6697, 4845, 2975, 5610, 4347, 4045, 9686, 8107, 6040, 6848, 7970, 2574, 5912, 7784, 6576, 4199, 8946, 117, 8340, 3358, 6862, 7547, 5728, 5511, 5208, 5701, 9079, 9159, 4421, 6970, 3972, 2777, 4172, 1503, 3683, 4334, 1413, 9819, 1750, 1435, 7428, 7371, 9666, 8296, 2717, 622, 2892, 4224, 2066, 7384, 9492, 5486, 5053, 4242, 6589, 9947, 534, 5383, 8795, 1461, 7782, 4451, 6149, 1654, 4988, 8782, 4611, 3435, 1153, 852, 3200, 3586, 7533, 6644, 9017, 3057, 8768, 3267, 5557, 6529, 4326, 3966, 1285, 5441, 1276, 4625, 7216, 6397, 8677, 4631, 2491, 4492, 7786, 2057, 8269, 3808, 3857, 5983, 807, 5759, 5934, 804, 9130, 4222, 4254, 2247, 8374, 8581, 4406, 9372, 2038, 8190, 8700, 7845, 7124, 352, 3934, 8256, 2253, 2330, 8152, 2563, 1453, 2358, 9361, 2259, 7028, 4264, 2966, 2789, 1677, 5932, 1860, 8611, 8020, 3422, 6447, 1067, 1446, 879, 559, 4328, 6065, 4124, 2535, 9182, 3169, 3673, 472, 1772, 5683, 835, 4689, 5017, 8417, 134, 1602, 5031, 8752, 4827, 1690, 5457, 2391, 6119, 2812, 7127, 4656, 7738, 252, 6616, 7491, 161, 1317, 8369, 3299, 3994, 4672, 4158, 9930, 8391, 1266, 1569, 6781, 3433, 3486, 5307, 6708, 1565, 5502, 7139, 3479, 3283, 7380, 3968, 5588, 1320, 3454, 4466, 5361, 7409, 3328, 5635, 2031, 8941, 4341, 260, 6713, 4385, 2559, 822, 7869, 4392, 474, 9835, 2915, 7667, 1831, 8859, 6404, 5056, 9082, 3604, 9051, 5744, 3535, 3643, 9562, 7510, 2555, 9092, 979, 7206, 30, 8441, 6152, 6257, 7404, 4549, 1981, 4305, 227, 1802, 5376, 6570, 5451, 6315, 6760, 1004, 2446, 3875, 5068, 3032, 6084, 4162, 7820, 5920, 4416, 789, 8361, 163, 8372, 8424, 6039, 5648, 4136, 6032, 3967, 1440, 7145, 922, 6373, 6186, 3401, 7776, 3900, 8931, 4784, 834, 1262, 2674, 7292, 3301, 6929, 7985, 3182, 544, 2633, 8934, 5607, 8864, 3272, 3959, 8076, 6178, 4068, 8566, 7004, 2372, 596, 6873, 5400, 1403, 7709, 5761, 3184, 1380, 9230, 8496, 1242, 5769, 6547, 2238, 4043, 966, 9236, 4914, 2736, 2327, 3571, 564, 7735, 2991, 1078, 6484, 3954, 8368, 3489, 6887, 871, 2494, 5904, 8992, 7614, 139, 801, 6277, 7954, 4726, 519, 2034, 3824, 5661, 3243, 8533, 3120, 5004, 5279, 4287, 8972, 501, 4860, 9767, 9054, 6558, 9688, 282, 2992, 4795, 6557, 8167, 6173, 7993, 9218, 8676, 3836, 6380, 7415, 7373, 891, 6176, 2567, 4291, 634, 485, 8585, 4126, 1481, 6382, 7538, 5066, 6328, 747, 3755, 7665, 1929, 8432, 2383, 4129, 6718, 5755, 8513, 1044, 1031, 7528, 3337, 6601, 1799, 1652, 9974, 1729, 2714, 7403, 7437, 4867, 8096, 2903, 5067, 2515, 7837, 6523, 9601, 6193, 5187, 7664, 7232, 1315, 6961, 2536, 3951, 3732, 1128, 7823, 1118, 639, 8097, 1825, 3068, 5688, 9975, 1619, 6549, 7338, 7255, 5184, 5317, 4807, 3431, 3033, 6120, 1020, 6283, 428, 9402, 6323, 1775, 7256, 5561, 6298, 5980, 7459, 3188, 8181, 4884, 9458, 1218, 2796, 7987, 6744, 6245, 6355, 45, 3, 3826, 4315, 2079, 1804, 4456, 4637, 6567, 354, 8311, 5547, 2314, 2158, 8583, 3114, 8103, 4808, 4706, 7778, 5832, 2710, 744, 4218, 8704, 7573, 7185, 9750, 4296, 7807, 8154, 1206, 1805, 5662, 4073, 8079, 8429, 9104, 702, 2082, 2459, 6285, 3259, 7982, 6130, 2019, 1993, 4617, 4316, 961, 1357, 1886, 3015, 4184, 826, 6823, 5873, 3474, 5821, 9063, 3624, 4438, 8901, 2398, 153, 3392, 1247, 5430, 2697, 6853, 3670, 5603, 8629, 4659, 6959, 6730, 5896, 1314, 4092, 4725, 4344, 6999, 370, 1624, 8017, 1060, 6356, 3761, 5946, 2761, 2422, 2799, 4360, 3312, 1645, 6579, 2620, 2460, 4235, 5412, 8822, 4210, 2963, 8342, 2419, 4711, 3505, 9728, 8908, 7323, 4609, 7864, 9178, 268, 3592, 8540, 1688, 5442, 6620, 3445, 1310, 6799, 4170, 6832, 737, 5835, 6658, 802, 269, 9698, 7395, 7945, 8858, 1924, 2229, 5506, 4594, 4100, 8811, 7779, 7500, 4949, 8909, 136, 9194, 9064, 2923, 6623, 836, 1364, 5581, 7885, 1336, 365, 4733, 8949, 171, 7332, 3724, 2516, 7848, 7978, 9429, 3470, 774, 4810, 6698, 9729, 6809, 3498, 2265, 9094, 5464, 1685, 4763, 8602, 360, 7652, 6881, 5027, 8308, 3075, 5505, 4286, 9180, 6056, 4134, 2392, 5421, 5681, 4262, 5326, 46, 5381, 7760, 1501, 7096, 3197, 8248, 5852, 3579, 4059, 6095, 5316, 8185, 7564, 7288, 2458, 8755, 6201, 2713, 5933, 3580, 8284, 4765, 5767, 2272, 3304, 8597, 2546, 1289, 8923, 7877, 714, 2270, 9072, 2943, 8266, 8090, 3228, 5556, 2982, 5691, 9464, 543, 39, 4692, 4335, 3351, 1141, 73, 8174, 4313, 4809, 4035, 6267, 6909, 5611, 9129, 8123, 8606, 6871, 1547, 1539, 1062, 4671, 1620, 8146, 6344, 1326, 4774, 8002, 4099, 4439, 5716, 6466, 7198, 4495, 3558, 637, 6487, 6937, 193, 3863, 1515, 2901, 832, 7630, 1273, 2347, 5693, 3557, 5578, 8989, 99, 4991, 7347, 4397, 5827, 7297, 6351, 5509, 2331, 521, 2682, 3656, 2134, 5795, 5071, 8457, 5205, 2264, 610, 8166, 2530, 388, 1037, 6716, 9501, 1546, 8990, 9022, 5076, 9486, 1656, 4728, 4146, 9718, 3775, 1618, 3546, 2310, 8702, 3651, 4743, 4887, 5877, 9111, 4928, 9157, 6667, 3734, 3048, 2223, 9163, 7374, 3226, 5685, 6688, 6147, 633, 4780, 5207, 1227, 4034, 6830, 6701, 1323, 3175, 6280, 7698, 4103, 1479, 9554, 8163, 7591, 4695, 8336, 3676, 6172, 9200, 6819, 2339, 9722, 5861, 7568, 8827, 2590, 5822, 7829, 9800, 4913, 9714, 827, 2059, 6828, 7327, 6227, 8137, 2593, 9717, 2414, 4325, 8642, 8388, 7648, 5404, 6446, 7057, 1427, 6629, 2672, 2596, 8155, 1240, 4539, 8343, 5165, 7508, 3209, 698, 437, 6996, 1984, 876, 9167, 7524, 1937, 5570, 3262, 4441, 5859, 888, 5160, 1866, 5764, 6006, 4374, 9687, 1132, 6621, 6474, 1459, 3725, 6478, 6301, 1577, 7911, 7544, 1045, 5022, 5772, 5170, 7604, 5353, 1639, 4943, 1177, 4597, 3908, 1678, 7962, 8106, 6803, 5238, 5050, 64, 2315, 2352, 3995, 1181, 3795, 3508, 8528, 8100, 2147, 6993, 2036, 5595, 4426, 2510, 4039, 7319, 3825, 5218, 5481, 4768, 6128, 975, 6145, 3752, 5888, 5436, 5890, 3928, 9401, 6714, 9623, 5482, 5150, 4318, 8265, 5679, 8477, 5698, 5879, 187, 8824, 862, 907, 2125, 1557, 7977, 4048, 5378, 201, 756, 7197, 1731, 7546, 1375, 2387, 3996, 8283, 2300, 4996, 2630, 5546, 9557, 1115, 5585, 1091, 7689, 3311, 1808, 3520, 69, 1466, 31, 1672, 7620, 8841, 375, 7247, 1526, 2984, 8315, 3523, 357, 9213, 4245, 5779, 3838, 6858, 8118, 8942, 8121, 6090, 1995, 1169, 4143, 7209, 9346, 7535, 3782, 9855, 4414, 3883, 2177, 5719, 2793, 6203, 9565, 8575, 3406, 6248, 1268, 8598, 4529, 9052, 8679, 8721, 3682, 6723, 3779, 1313, 6483, 642, 3482, 3952, 7969, 3356, 6214, 1878, 4558, 9775, 5100, 3704, 3576, 6801, 5070, 7064, 8817, 4593, 8627, 6712, 1626, 7540, 1034, 1111, 7031, 1015, 8057, 248, 6954, 7697, 967, 7931, 7165, 7834, 7386, 9254, 7465, 7214, 2394, 4250, 5950, 1121, 9144, 3384, 1482, 311, 3291, 8754, 8110, 3160, 5617, 1834, 4497, 3957, 6753, 7112, 9886, 8804, 9360, 7817, 2441, 5128, 6231, 6420, 5419, 7238, 2673, 8305, 5377, 7094, 2839, 3083, 7046, 6467, 6144, 1173, 8149, 8249, 994, 4926, 1066, 949, 2930, 8792, 1938, 4651, 1057, 5923, 2401, 7362, 3051, 745, 6377, 7861, 3727, 9462, 8410, 4169, 3481, 6191, 7050, 5752, 6146, 7083, 9156, 8550, 4835, 3368, 5793, 1405, 692, 2754, 4921, 2280, 1765, 982, 7113, 3413, 8542, 7684, 7572, 8865, 7121, 2346, 6776, 3229, 5153, 103, 910, 5854, 4828, 8640, 8897, 7307, 4502, 3606, 8564, 4480, 2130, 9638, 9383, 292, 294, 3332, 9175, 5508, 9003, 2824, 576, 923, 8574, 2831, 4947, 6982, 7481, 1691, 2275, 9636, 3976, 2766, 7217, 7783, 746, 4274, 5746, 729, 6635, 5122, 9610, 5402, 4951, 7966, 6507, 4193, 1904, 2918, 2084, 5921, 6856, 6157, 8953, 4927, 2475, 4776, 7728, 726, 1613, 6310, 944, 9682, 3903, 3127, 6240, 3227, 4141, 5857, 9392, 4803, 8983, 8439, 6449, 5569, 1367, 1854, 8068, 3007, 7740, 6078, 1432, 4444, 1838, 8126, 8376, 1267, 7274, 3936, 1194, 8341, 6720, 8306, 7928, 2935, 6674, 4231, 3432, 5999, 4213, 1112, 8737, 8888, 2993, 4320, 4273, 4847, 278, 3799, 4592, 4789, 713, 4876, 1332, 1235, 5489, 9140, 7761, 1522, 5331, 5670, 3199, 8013, 211, 6450, 7212, 310, 3192, 447, 98, 643, 7711, 4477, 6502, 7424, 9789, 6429, 8024, 5439, 7859, 4368, 6417, 5785, 7745, 2738, 4119, 6004, 9832, 7414, 5720, 4179, 8921, 2282, 4856, 7892, 7976, 6857, 3305, 8182, 2307, 7399, 3441, 6795, 6824, 833, 7344, 7534, 6793, 4992, 3506, 2195, 8291, 3495, 1068, 9099, 6631, 8449, 996, 3545, 4531, 7322, 539, 2846, 3617, 6785, 4546, 5240, 212, 7927, 6663, 5206, 1646, 5871, 8196, 5360, 5548, 5180, 7613, 8787, 6293, 3265, 1778, 1185, 7390, 6426, 3788, 9385, 9525, 396, 2271, 2752, 1311, 1644, 3907, 3378, 2174, 1281, 9084, 9016, 6324, 5191, 6443, 8548, 1009, 6900, 5928, 6430, 7493, 7504, 230, 5103, 9865, 8798, 9106, 7872, 6457, 9731, 6562, 7625, 6230, 6353, 4643, 5844, 1502, 4085, 3416, 5858, 5249, 5370, 1623, 8294, 1137, 3538, 2263, 8353, 3607, 373, 1514, 5197, 8945, 9279, 4267, 5086, 8549, 9201, 4816, 2737, 238, 405, 8781, 8333, 5000, 3371, 4619, 741, 4317, 3342, 1333, 3253, 1842, 2602, 6884, 2565, 2091, 9425, 5838, 8331, 5243, 8095, 1438, 8023, 8944, 4223, 2206, 5961, 2047, 9205, 6063, 8038, 742, 8552, 9558, 43, 8367, 6334, 2798, 1005, 8397, 1836, 1225, 393, 5380, 1745, 6394, 3377, 2085, 4060, 5010, 8329, 5224, 20, 3040, 5979, 7930, 18, 997, 8591, 1965, 2014, 5540, 1319, 5146, 1226, 5244, 2333, 9071, 2852, 2875, 3394, 487, 1859, 6564, 7692, 1584, 1362, 2421, 164, 4203, 128, 2010, 9966, 3496, 130, 1212, 5574, 6512, 3135, 432, 5576, 297, 3436, 1074, 4216, 2603, 700, 2074, 6896, 6, 2252, 4376, 3552, 2872, 3644, 5608, 116, 2769, 4072, 1002, 8080, 1215, 7016, 9073, 8177, 3790, 4956, 8761, 4727, 1663, 2062, 5446, 3847, 2860, 9603, 4140, 3890, 5518, 7339, 6300, 8014, 8153, 4978, 320, 4021, 1073, 324, 6861, 8962, 1914, 6998, 7443, 5367, 6540, 3519, 6600, 1730, 2880, 4380, 7651, 1568, 4813, 3315, 8392, 958, 7300, 5952, 157, 7388, 8476, 8047, 6049, 1725, 8644, 5495, 303, 5513, 2666, 9769, 2968, 3122, 5272, 545, 3564, 4759, 8238, 241, 8293, 1365, 2050, 969, 1109, 508, 8738, 4348, 2137, 1038, 1712, 9779, 796, 2706, 4560, 1706, 3177, 4033, 2254, 4547, 2452, 3136, 2802, 5182, 8302, 8175, 9544, 7215, 9877, 753, 5164, 1880, 6963, 8758, 5245, 7746, 9031, 1642, 2750, 9268, 1820, 5219, 1233, 3818, 1664, 108, 9939, 3712, 4757, 5337, 3692, 4132, 856, 2030, 2355, 684, 2176, 8630, 6352, 1127, 7321, 6384, 1649, 8577, 7024, 5583, 6935, 2749, 284, 4007, 584, 4037, 6852, 5860, 9643, 6291, 1488, 4640, 5803, 1171, 6641, 3728, 3881, 496, 8881, 5129, 345, 3452, 2998, 8812, 1406, 701, 6553, 3709, 5181, 7996, 9132, 147, 5695, 1135, 344, 4257, 3628, 1291, 9315, 7461, 2681, 3478, 4058, 5432, 3460, 7147, 8498, 3626, 8470, 1010, 8232, 5571, 142, 2413, 3113, 8399, 3020, 552, 9240, 5609, 884, 7411, 5496, 2671, 2924, 874, 2214, 4445, 4437, 8685, 4369, 8562, 7450, 2782, 6992, 8753, 7501, 5449, 2250, 7159, 8171, 7795, 6138, 2959, 9007, 1895, 4236, 54, 4182, 4753, 3566, 1040, 2866, 6209, 209, 4688, 6439, 6636, 312, 6772, 9746, 7202, 6337, 242, 5790, 9373, 7600, 5343, 1807, 2316, 7788, 3792, 5974, 5443, 4130, 7956, 2294, 4812, 5424, 6236, 9581, 4636, 6690, 8734, 4805, 7815, 4530, 3104, 4460, 59, 8686, 4329, 6392, 6774, 7944, 4413, 4930, 4668, 5640, 8046, 6031, 5532, 5480, 5573, 8435, 3185, 5778, 5959, 6965, 4145, 6025, 4083, 6325, 5517, 5088, 1578, 3266, 327, 7730, 3330, 7916, 5992, 3247, 4504, 2193, 2090, 7594, 5545, 7964, 2493, 3886, 4838, 7912, 2168, 6947, 5621, 8695, 2201, 1316, 7222, 2934, 7246, 6962, 580, 7148, 754, 3123, 2576, 2532, 8205, 4842, 6831, 3985, 6729, 1039, 8660, 7980, 3232, 9357, 8844, 4016, 1154, 3539, 1192, 479, 7081, 7392, 1263, 8806, 6044, 3736, 819, 3275, 3791, 9040, 3540, 5724, 636, 6814, 4585, 6076, 3153, 7072, 5405, 8699, 710, 5468, 8646, 3572, 5848, 3450, 947, 457, 5042, 9943, 9162, 987, 616, 9012, 6286, 6148, 3583, 8272, 1721, 6047, 1349, 8722, 141, 5479, 5931, 1739, 8116, 8025, 5085, 1017, 3219, 2440, 7360, 9749, 4375, 2227, 4962, 1940, 1809, 8173, 3841, 5415, 2815, 1507, 1715, 2599, 511, 9097, 1545, 2523, 7870, 5973, 9103, 6264, 3118, 5014, 5472, 4181, 7284, 3828, 274, 2423, 7013, 7659, 8927, 8750, 1777, 4018, 6914, 6898, 5544, 5853, 904, 9470, 6153, 1408, 155, 7727, 1379, 7624, 599, 9693, 2926, 6051, 8978, 2141, 9977, 2172, 5144, 4396, 2001, 9842, 1600, 4478, 2704, 3663, 2171, 8278, 8316, 4824, 1599, 8765, 9484, 6679, 5369, 1199, 2200, 7431, 6273, 4973, 5087, 4732, 7041, 7903, 3561, 4336, 4288, 4303, 2524, 5329, 6779, 7809, 1220, 4870, 491, 1404, 6027, 5756, 3793, 4613, 1366, 5163, 7900, 7444, 6665, 6534, 6451, 7259, 6575, 4312, 1903, 3157, 2505, 3269, 8420, 3687, 9969, 7835, 322, 9135, 6073, 8667, 6972, 221, 2368, 3385, 7748, 9820, 4160, 4322, 5246, 218, 2133, 2529, 7525, 494, 3468, 7184, 5781, 2098, 4764, 8842, 8365, 3547, 9026, 1898, 9027, 7166, 2216, 1573, 896, 385, 4077, 6123, 3129, 6388, 5162, 5106, 417, 3660, 1027, 6755, 5627, 42, 2818, 9133, 4088, 7846, 4858, 6590, 8847, 6915, 8362, 680, 5427, 2361, 2389, 6368, 5600, 530, 1849, 5011, 2908, 6968, 7772, 2668, 6820, 549, 6766, 8742, 8427, 2895, 8929, 7918, 8508, 4627, 1788, 9187, 779, 962, 1136, 2556, 4343, 6008, 1586, 4299, 9863, 2499, 583, 5235, 7516, 3731, 8142, 730, 6689, 1530, 6790, 3109, 9161, 2634, 3760, 1982, 9509, 334, 1525, 9891, 1092, 933, 3273, 6860, 5930, 4244, 8561, 1219, 7229, 8050, 4893, 2646, 5634, 9312, 1876, 905, 6035, 6505, 9806, 8240, 8165, 1897, 6015, 2770, 5259, 9244, 1161, 5810, 2025, 489, 2208, 8899, 2354, 7862, 9001, 9884, 1108, 4968, 321, 2417, 3022, 8303, 775, 6699, 2400, 3971, 6423, 7289, 7109, 5034, 7781, 7536, 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4269, 9829, 3925, 7237, 5236, 6890, 1755, 5063, 9651, 6211, 2942, 3292, 1236, 8052, 9208, 1465, 2955, 1205, 4700, 8416, 7051, 4975, 9074, 9868, 627, 4739, 2359, 3166, 3723, 6066, 6921, 5247, 1567, 1998, 5792, 4685, 5248, 9047, 6459, 4206, 8169, 4221, 1881, 7811, 2858, 8910, 5620, 7598, 7296, 612, 4499, 6833, 8524, 5379, 9937, 7227, 6367, 9500, 2350, 4488, 6205, 7756, 9900, 1003, 6462, 2497, 2730, 6113, 3961, 3367, 4649, 565, 1484, 6289, 9696, 6813, 391, 3621, 7974, 8075, 8056, 5818, 6717, 7090, 5577, 1090, 3550, 3891, 162, 1041, 4855, 4511, 3872, 9085, 6949, 575, 9659, 3402, 5500, 800, 2753, 7047, 8201, 877, 4449, 6960, 5168, 7592, 4918, 8894, 8304, 7639, 9475, 8434, 8034, 2311, 7863, 4198, 8849, 569, 4079, 7744, 8974, 2885, 7498, 8378, 5308, 2677, 1512, 8815, 4496, 3383, 9858, 8158, 4491, 5041, 953, 8001, 7887, 1543, 9708, 3288, 3324, 5872, 4420, 2432, 7234, 9822, 1348, 5743, 5572, 5869, 7017, 4898, 3534, 3407, 2345, 3893, 2588, 9265, 2830, 9056, 190, 4431, 8567, 5386, 5985, 8616, 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3031, 8526, 7482, 865, 318, 5051, 4479, 5721, 6061, 5527, 1939, 8825, 7146, 359, 7792, 9000, 6029, 6316, 6906, 4634, 7163, 7910, 2917, 7722, 9442, 6624, 5969, 106, 2420, 2194, 349, 3852, 495, 5796, 1160, 778, 5706, 6656, 8292, 8871, 6306, 9006, 4387, 8215, 9433, 3924, 8445, 814, 4694, 1896, 9879, 3345, 9264, 1330, 8975, 895, 4354, 3833, 5296, 809, 5742, 9736, 6613, 2461, 6438, 4717, 1658, 1633, 228, 2806, 6782, 1801, 1204, 5002, 2365, 7586, 9590, 47, 5515, 7233, 7419, 5845, 5009, 7691, 9197, 8554, 2204, 7123, 915, 670, 4744, 8832, 8495, 7553, 298, 7703, 403, 1922, 9834, 6948, 7548, 5395, 5782, 4207, 9358, 993, 9866, 68, 1830, 8960, 7480, 8060, 2507, 8178, 5883, 2759, 9521, 319, 1972, 1641, 2107, 6281, 7608, 8889, 2501, 5514, 649, 3598, 2015, 7061, 459, 620, 687, 7581, 8514, 6345, 8726, 1970, 2167, 3691, 7998, 8317, 1779, 1979, 5942, 4089, 482, 5096, 4338, 8814, 2936, 6422, 9291, 5111, 6247, 468, 4202, 215, 305, 3412, 1251, 4699, 9364, 4263, 8713, 8250, 1000, 1448, 9556, 2116, 6767, 513, 8692, 7032, 9850, 2849, 2101, 2700, 5467, 9276, 9703, 4277, 2166, 9968, 8221, 4389, 1632, 609, 7270, 8749, 8895, 4848, 6379, 7915, 7301, 2594, 265, 34, 7433, 9342, 5677, 2357, 5374, 2969, 3466, 7485, 272, 7958, 2540, 7560, 6268, 5276, 1967, 8573, 122, 5025, 5435, 3100, 7806, 7675, 6170, 4171, 9441, 6834, 2553, 2735, 500, 532, 8838, 9818, 7997, 9536, 85, 6347, 3176, 8697, 8136, 5619, 4081, 9530, 1441, 5998, 7610, 900, 9548, 9243, 7059, 5125, 7076, 2707, 276, 3002, 7596, 8698, 2776, 6194, 1369, 8764, 2436, 58, 1381, 3093, 4950, 685, 313, 4910, 573, 7851, 9702, 5039, 7201, 3398, 5864, 3492, 9454, 6925, 5895, 191, 7882, 3861, 9146, 6742, 3317, 1734, 9778, 5622, 4714, 2664, 8878, 9853, 9938, 168, 1210, 8423, 3935, 7715, 765, 1, 6340, 2473, 5080, 8560, 6296, 4786, 169, 8310, 2665, 8839, 9807, 4629, 6395, 7449, 1023, 2410, 5754, 1030, 9044, 6953, 80, 3329, 4653, 3018, 3843, 7641, 3073, 7905, 6115, 6815, 2859, 9403, 8396, 1295, 1973, 7248, 6210, 2609, 4756, 6160, 450, 6111, 9432, 5535, 686, 4209, 1827, 7629, 7569, 3850, 3634, 7025, 4234, 7880, 2636, 8127, 3946, 1234, 4969, 7048, 3845, 9645, 3921, 2480, 6749, 8563, 8211, 1398, 8364, 3220, 1144, 442, 9794, 7200, 672, 409, 8701, 736, 8443, 669, 4601, 3221, 2063, 4151, 9139, 2456, 8766, 7026, 5101, 3527, 6913, 7690, 9460, 8818, 1589, 611, 2072, 632, 4038, 1784, 1372, 3241, 7469, 2767, 5134, 9151, 7583, 6578, 8684, 6751, 1786, 5417, 7867, 3150, 4999, 6907, 8028, 3702, 8793, 5907, 5736, 1419, 5355, 7542, 9632, 7218, 2067, 5024, 9697, 4471, 936, 5760, 1339, 4153, 96, 9221, 5221, 9483, 711, 8312, 8128, 8383, 6682, 1100, 9202, 6681, 9349, 5654, 8666, 7766, 1705, 95, 5902, 1562, 33, 2568, 335, 3039, 5987, 6571, 4462, 8407, 7739, 3665, 6685, 1272, 7602, 2898, 3866, 5055, 735, 1531, 1011, 4605, 3657, 6595, 5538, 5471, 568, 6261, 8507, 6920, 3476, 4301, 3851, 2905, 1711, 3503, 4116, 6411, 5139, 9217, 6206, 7946, 9476, 8937, 3640, 438, 9411, 2187, 4150, 4429, 2944, 8422, 5266, 9478, 9765, 6976, 8988, 6331, 6265, 8534, 5976, 5995, 7280, 9860, 2145, 9811, 4841, 1761, 8783, 21, 8539, 2081, 6221, 7920, 455, 300, 8461, 8863, 1733, 7638, 5227, 2100, 3686, 4135, 3248, 1533, 7345, 7391, 3627, 7705, 6200, 8556, 8610, 6580, 5304, 9675, 6864, 1800, 4006, 6410, 5484, 1534, 5176, 6940, 8773, 3533, 4470, 5299, 342, 5718, 4574, 533, 5705, 6110, 9308, 9725, 3570, 7747, 7208, 9309, 6532, 4639, 7827, 2953, 2513, 9377, 1773, 8746, 2233, 5686, 3877, 5682, 1675, 5675, 4, 6012, 9238, 13, 8394, 9676, 9353, 4798, 3537, 9935, 8892, 2221, 8688, 697, 7015, 7750, 8924, 7655, 6807, 8288, 4767, 6097, 2409, 7529, 4400, 2029, 271, 4833, 1299, 8491, 7822, 3608, 7771, 7066, 9028, 5294, 6632, 3334, 9669, 8979, 3038, 9872, 9184, 9529, 7071, 176, 4568, 9782, 7278, 4394, 613, 6067, 1760, 7754, 6670, 4528, 8387, 7472, 4366, 4934, 8683, 662, 9246, 374, 9518, 2783, 3062, 7346, 7701, 9699, 1889, 4904, 601, 9742, 691, 289, 421, 1411, 8525, 6440, 8985, 739, 9625, 9817, 3730, 3885, 8199, 8318, 9336, 9256, 3568, 4472, 509, 9431, 9804, 8234, 1991, 5936, 7505, 795, 8471, 3320, 8070, 4866, 6978, 6829, 3372, 3565, 436, 6798, 239, 8748, 8637, 8428, 9950, 6591, 123, 8993, 8156, 3589, 2554, 9824, 4729, 6475, 4854, 4550, 1661, 547, 9955, 6990, 6062, 830, 4667, 3899, 124, 7348, 262, 232, 4966, 3501, 510, 7563, 2451, 4070, 2396, 28, 3853, 9846, 7381, 8948, 9467, 9830, 9700, 9192, 1684, 668, 2068, 8904, 3499, 9959, 24, 4849, 992, 4508, 2651, 9211, 9743, 8867, 3918, 315, 777, 9948, 1264, 8499, 2255, 7108, 9245, 8882, 3770, 8808, 3168, 506, 32, 465, 5697, 8074, 9449, 5155, 653, 113, 9190, 2140, 6651, 4357, 6872, 8853, 280, 4319, 4009, 5148, 2541, 1400, 8226, 1674, 7891, 9008, 9608, 3458, 3721, 2519, 4599, 540, 8728, 9313, 4559, 6376, 4815, 4872, 2708, 4027, 1695, 1383, 7036, 2941, 2426, 407, 3707, 7631, 4620, 4142, 527, 8947, 9445, 9507, 9379, 9620, 5905, 9681, 5110, 5989, 749, 8903, 720, 6104, 2482, 235, 1344, 6135, 4065, 4760, 8099, 6229, 7512, 8277, 5579, 7176, 6327, 9841, 266, 9060, 6387, 2528, 2598, 2972, 4440, 3603, 9412, 7632, 8334, 7438, 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7805, 3287, 758, 2412, 5069, 6780, 7196, 9905, 9340, 664, 7117, 9055, 9685, 9893, 4481, 5213, 4086, 2547, 6217, 3806, 2109, 1683, 2771, 5454, 2502, 5837, 120, 7078, 7785, 323, 7597, 6023, 7009, 7850, 4433, 555, 9658, 5453, 7523, 3001, 7737, 7658, 6878, 9848, 6577, 9404, 7290, 5201, 8557, 7566, 8048, 7555, 8980, 4098, 6498, 1048, 4669, 2428, 4977, 7941, 7275, 7855, 2913, 4271, 9317, 4395, 4342, 4624, 3740, 3849, 504, 9678, 6003, 3745, 8297, 9134, 9609, 9604, 3978, 9770, 9472, 6389, 364, 9294, 6835, 9251, 5437, 2077, 1165, 2584, 3098, 4552, 451, 3103, 716, 1798, 9552, 7142, 8260, 3906, 1304, 6905, 8505, 1256, 7831, 9185, 7979, 1955, 7343, 9862, 7741, 6758, 4104, 5957, 2046, 2617, 9435, 8784, 9563, 2363, 5521, 8366, 411, 8077, 6249, 9490, 5157, 392, 3350, 443, 7279, 8579, 270, 2332, 3125, 3964, 7789, 8977, 3366, 8969, 718, 8659, 41, 8618, 4746, 376, 983, 5823, 9369, 9549, 4716, 8415, 6737, 9965, 6546, 353, 9434, 6724, 2129, 8854, 860, 2690, 6163, 7543, 8285, 8791, 9662, 3988, 8569, 2173, 4489, 9672, 8371, 8180, 2869, 6973, 2571, 9480, 562, 5073, 8543, 207, 48, 4417, 4408, 6270, 4937, 9635, 7306, 8709, 5388, 6488, 9479, 6435, 9936, 3771, 200, 462, 8354, 9852, 818, 8485, 7571, 9436, 4259, 1425, 3164, 7272, 3308, 1591, 2514, 4823, 4055, 8584, 9914, 3475, 4793, 7003, 8801, 6586, 7612, 9354, 9598, 7929, 2648, 946, 2295, 8460, 9247, 9330, 9075, 5953, 3473, 2381, 5773, 5074, 9267, 9452, 3340, 5616, 7951, 4853, 9665, 9188, 2733, 8467, 8321, 893, 3837, 8650, 4525, 8039, 9320, 6602, 7054, 368, 8951, 9406, 6840, 7230, 6550, 7368, 9716, 7671, 7603, 9963, 7190, 9907, 2958, 8678, 7007, 8703, 263, 9438, 1582, 3081, 9566, 9089, 9204, 6252, 4105, 8328, 166, 3196, 7458, 9018, 9576, 6239, 9227, 1059, 9045, 9127, 8837, 8168, 8006, 9634, 8323, 9838, 8595, 7241, 9430, 9871, 9903, 9498, 9851, 6588, 2489, 4237, 2884, 2018, 9505, 8896, 9883, 7314, 9520, 424, 5485, 1013, 9650, 2845, 3703, 9307, 9760, 6928, 2561, 9934, 9569, 9691, 8809, 1436, 2595, 9142, 5642, 9790, 2301, 5149, 8409, 165, 8668, 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7445, 4619, 7699, 3996, 606, 761, 6453, 974, 4219, 2462, 7417, 4385, 7046, 8347, 3670, 6478, 6741, 7261, 6377, 5335, 9443, 5220, 6804, 6888, 9402, 8211, 4646, 1667, 4094, 6366, 2994, 3639, 8056, 8997, 4165, 954, 8301, 8318, 5636, 6575, 201, 4007, 4965, 588, 7894, 4294, 2660, 7407, 3995, 2490, 9655, 1835, 8309, 7363, 8072, 5843, 9686, 1975, 8883, 4298, 4091, 3634, 6825, 4173, 574, 1594, 8208, 7215, 7702, 4798, 4627, 4048, 7541, 7512, 1572, 9422, 2671, 3701, 3164, 5396, 9539, 7462, 1340, 821, 5443, 7580, 1337, 4423, 7280, 4750, 7459, 4372, 1499, 8682, 692, 8621, 3667, 8594, 6604, 4691, 3803, 9236, 1150, 7944, 1634, 2031, 4571, 1610, 3266, 7834, 6680, 5233, 4473, 3941, 3642, 1079, 7421, 3684, 3371, 2353, 1995, 5540, 4054, 6098, 1510, 1925, 9173, 7141, 1966, 2230, 7211, 2902, 6087, 6835, 2356, 6847, 5130, 636, 6568, 2811, 3019, 2266, 6996, 8740, 5047, 3108, 3853, 4996, 1829, 9802, 9332, 4991, 8418, 6549, 6408, 3351, 2958, 2637, 1144, 181, 6615, 5668, 4141, 5536, 3292, 1671, 1822, 9342, 6409, 5300, 1102, 3846, 8386, 57, 4214, 173, 2456, 6836, 1959, 9834, 6199, 4809, 7204, 5345, 6442, 2610, 8834, 7874, 2405, 2585, 4621, 1842, 2132, 1124, 2674, 5382, 6040, 7383, 8495, 5965, 2164, 7052, 5786, 5555, 1900, 5010, 9138, 8300, 808, 5783, 5829, 7589, 6353, 840, 8375, 1697, 5914, 550, 1066, 5929, 8694, 774, 1193, 1980, 5366, 3316, 8139, 4607, 9249, 918, 5077, 2151, 7070, 4709, 964, 6726, 2246, 3310, 4683, 1432, 2007, 9039, 8029, 2198, 3280, 4469, 929, 1521, 3636, 5857, 7851, 1030, 2172, 2290, 5541, 9429, 6874, 2866, 8753, 1505, 4661, 7911, 6966, 3545, 3887, 8313, 3312, 1872, 3261, 9165, 4125, 8884, 4270, 6796, 8446, 3663, 1609, 8110, 5043, 762, 1857, 1452, 4210, 3788, 2014, 6118, 1669, 3179, 8547, 868, 4623, 2622, 4900, 2224, 1146, 328, 5938, 797, 2461, 3982, 7596, 5585, 1061, 7630, 1388, 822, 8496, 7730, 7336, 2295, 1137, 6038, 1122, 750, 6444, 3187, 5006, 1823, 7288, 4628, 3986, 7471, 2307, 1379, 3542, 3817, 3356, 355, 3144, 15, 5369, 2960, 589, 8420, 63, 8157, 3268, 136, 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9460, 4005, 8332, 4593, 3785, 1173, 5447, 7587, 2838, 2298, 75, 2196, 3932, 7520, 1770, 7000, 7920, 3929, 1090, 8365, 2703, 1239, 1238, 9193, 6092, 8989, 5593, 2160, 9960, 8902, 6745, 1476, 563, 4186, 2157, 6469, 353, 2012, 1694, 5350, 7251, 8323, 2718, 9203, 7171, 6054, 6361, 3907, 6222, 850, 3942, 4805, 9425, 25, 2639, 2726, 1167, 6708, 5303, 6358, 3573, 1631, 3595, 2538, 2199, 5799, 1065, 4258, 8838, 417, 6, 2281, 5903, 3855, 1621, 5242, 1321, 4754, 9331, 1156, 5277, 3824, 7502, 2444, 4679, 8026, 5685, 2668, 4765, 5898, 5015, 4721, 1377, 2777, 842, 134, 8270, 5830, 6556, 7475, 5842, 7674, 1589, 6138, 9588, 2599, 4799, 4568, 5909, 6664, 7940, 5943, 1117, 1293, 1191, 9068, 7469, 270, 1613, 4502, 4836, 6112, 1322, 6475, 9038, 3439, 4954, 9411, 5053, 2225, 1684, 5032, 7189, 4233, 2771, 1563, 7863, 2098, 4006, 3258, 4557, 6627, 3017, 6764, 1032, 1535, 2557, 1670, 6999, 7286, 8641, 1849, 483, 5152, 8747, 5087, 4388, 3659, 7930, 277, 9013, 6851, 1338, 9288, 6076, 2062, 1370, 3214, 7774, 4367, 7134, 2183, 8920, 5464, 903, 8383, 4565, 2437, 3789, 8269, 1041, 3484, 32, 6396, 1415, 3477, 1532, 7018, 2516, 9154, 4761, 1647, 1097, 6887, 8086, 1067, 1888, 1096, 5880, 3159, 5224, 5589, 6233, 4039, 5297, 8242, 8955, 374, 5820, 6357, 3465, 3511, 8450, 3058, 3564, 1841, 62, 7395, 5604, 8088, 8632, 4549, 3341, 5269, 8200, 8580, 6045, 1423, 4816, 6100, 5962, 1972, 8236, 3014, 1559, 5543, 1668, 1326, 1848, 2689, 8078, 8944, 3559, 6822, 7593, 8481, 2932, 3192, 3437, 2244, 6617, 6914, 1550, 7310, 2530, 8856, 5835, 5186, 1954, 2532, 880, 5308, 5263, 4738, 3913, 1180, 1217, 7116, 7875, 2955, 4711, 2369, 6542, 3992, 3365, 8268, 3112, 1426, 2439, 8404, 7909, 1934, 7957, 5970, 6753, 4830, 1585, 8027, 1053, 605, 9387, 9367, 2185, 611, 0, 4613, 1797, 6143, 4278, 3028, 7914, 5288, 5823, 8498, 6805, 5392, 1487, 3375, 7226, 2785, 3414, 2996, 4755, 2327, 7896, 140, 7890, 9694, 3843, 820, 1741, 758, 2734, 1807, 5317, 388, 6071, 3237, 5616, 8859, 9130, 3299, 6535, 7669, 1300, 1800, 1603, 8971, 1267, 1306, 2865, 5793, 8229, 5623, 2545, 8089, 5711, 4435, 6643, 2117, 1078, 5993, 2236, 8245, 4773, 7, 2436, 5794, 4905, 6252, 453, 9202, 7432, 4614, 1898, 4985, 2148, 5236, 6509, 1579, 6499, 5402, 4289, 4464, 5723, 4117, 5199, 3946, 3756, 3173, 1437, 8051, 6872, 2937, 4861, 2999, 3021, 6121, 8079, 2830, 732, 7986, 1384, 5478, 1205, 5238, 6603, 307, 7236, 2037, 6759, 4075, 8568, 1223, 3361, 6706, 8290, 3011, 1020, 743, 1643, 7365, 5788, 1052, 2943, 4223, 6648, 2716, 3880, 3800, 3676, 4059, 719, 1294, 2765, 6765, 6543, 4163, 4544, 8280, 6480, 6574, 6447, 4648, 5286, 6323, 345, 1682, 4304, 6031, 262, 7339, 9092, 192, 470, 4169, 8364, 4327, 1363, 3955, 2314, 1168, 933, 6000, 5567, 9049, 5232, 1702, 6141, 5658, 4856, 1828, 3229, 6926, 9084, 4356, 7859, 8914, 4524, 4239, 5791, 7714, 1576, 837, 3139, 8968, 5362, 8953, 1658, 829, 1586, 9156, 4119, 2782, 6623, 8624, 3548, 9753, 6707, 5183, 5754, 8894, 3364, 1394, 4198, 7823, 423, 5234, 3296, 7045, 3308, 6739, 3797, 7078, 2348, 3894, 1533, 1638, 7521, 4665, 6035, 2619, 4933, 8214, 5811, 4579, 6099, 3735, 2358, 6445, 1986, 9581, 5141, 5109, 3074, 8642, 3029, 8857, 6150, 6194, 3510, 2089, 3470, 3865, 4380, 2656, 9136, 6348, 6577, 1151, 3324, 6333, 905, 3093, 60, 1201, 6193, 9316, 8342, 8002, 5353, 4216, 4347, 1170, 5535, 4803, 6810, 4363, 5619, 1901, 5473, 2435, 9083, 1950, 1794, 3602, 5142, 6730, 5904, 5135, 6188, 6853, 2868, 5179, 38, 1418, 8163, 6788, 1029, 2837, 7029, 3154, 1202, 1325, 2933, 3530, 3387, 7893, 7667, 6217, 4807, 6671, 290, 4741, 389, 7621, 8993, 5753, 4143, 5874, 8903, 6093, 997, 7406, 5892, 3454, 5770, 6400, 2303, 6237, 4743, 5182, 6839, 7075, 1605, 8457, 5844, 1821, 4109, 2551, 1584, 6734, 5954, 857, 4792, 6365, 8362, 6986, 6570, 2751, 1771, 6932, 4514, 935, 9037, 6103, 5496, 6211, 2563, 5151, 8018, 9008, 7128, 7601, 7180, 4763, 901, 8554, 6104, 2203, 2793, 2817, 4846, 2857, 8537, 1912, 4122, 5430, 632, 4914, 6816, 398, 3145, 7564, 2827, 6474, 3353, 3764, 5698, 7126, 7902, 866, 6172, 4979, 1088, 7011, 1461, 4885, 8473, 329, 2251, 4495, 6242, 4353, 7111, 803, 5280, 4734, 1765, 9241, 5261, 5420, 4616, 2161, 4553, 2967, 5705, 1796, 2261, 569, 1805, 4092, 6065, 6277, 5018, 1410, 8497, 5676, 3731, 9376, 4236, 813, 8134, 2228, 4287, 4105, 7976, 4445, 2302, 1534, 5425, 5060, 6278, 7813, 3630, 6479, 3772, 5514, 5375, 1107, 1216, 6243, 7034, 9102, 8202, 4247, 5759, 8710, 4906, 3626, 815, 4204, 5565, 4570, 8524, 196, 801, 1249, 1833, 3567, 4913, 5657, 283, 1086, 7228, 6164, 9326, 6083, 6650, 2394, 3973, 317, 2257, 5671, 8341, 6178, 1044, 8878, 7371, 7843, 93, 1862, 9206, 1742, 8611, 1541, 7440, 7965, 7618, 5847, 1186, 5064, 8901, 3323, 5244, 36, 8748, 805, 323, 2820, 8452, 2873, 5020, 8785, 1942, 7766, 1637, 1335, 5884, 1866, 867, 6950, 4868, 9749, 5284, 7102, 8173, 6958, 8470, 661, 592, 4583, 3863, 4540, 8054, 334, 5732, 1471, 2573, 3712, 983, 1244, 1893, 5453, 3590, 5506, 8764, 4729, 6248, 884, 2016, 3773, 4492, 2469, 5638, 4121, 7206, 7488, 5596, 9006, 5245, 3305, 1909, 7595, 3533, 2306, 6162, 2861, 2357, 5270, 2020, 9721, 1072, 6994, 7753, 5834, 6249, 853, 707, 716, 3952, 5494, 5917, 7642, 3825, 6421, 626, 2134, 5594, 2384, 2263, 5202, 2909, 5764, 6754, 174, 1265, 2533, 2858, 8401, 6297, 6037, 1178, 9383, 2013, 2465, 2070, 3125, 8199, 2964, 5131, 8606, 7629, 4145, 3809, 7238, 5870, 5826, 810, 3948, 9153, 40, 4463, 7177, 4889, 8115, 356, 5733, 1982, 7648, 5432, 4290, 2344, 8712, 7250, 1350, 6299, 5859, 4309, 5850, 2331, 4832, 6343, 6698, 6744, 6089, 5046, 4993, 3005, 6086, 1721, 3395, 6640, 4620, 3311, 5356, 6339, 7963, 3868, 3734, 6466, 4676, 1892, 8662, 1973, 9107, 1921, 4073, 6724, 9515, 7788, 2735, 6666, 8540, 1727, 7094, 7274, 9019, 596, 273, 6598, 103, 7408, 5632, 357, 9169, 491, 1073, 7347, 6238, 4197, 7073, 7375, 2801, 644, 713, 4398, 4183, 5470, 4024, 9739, 7077, 4100, 9077, 5886, 3496, 2454, 7509, 1449, 7903, 6590, 3368, 4264, 9820, 3845, 6652, 2742, 8616, 203, 5102, 7133, 7419, 6954, 8240, 3277, 6855, 8143, 4562, 6084, 5758, 7172, 4730, 791, 7757, 6540, 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9188, 4393, 2708, 3879, 1281, 4058, 3135, 9205, 6005, 5429, 4415, 1145, 1026, 7210, 5084, 3495, 8203, 9308, 3184, 3668, 1103, 2500, 773, 5677, 1788, 8912, 5964, 8607, 9090, 995, 8314, 7584, 6530, 8041, 8281, 8416, 3479, 6129, 3208, 8530, 6425, 407, 8588, 6638, 2424, 7145, 845, 5985, 7473, 226, 5866, 301, 8934, 4775, 2664, 4250, 7399, 8224, 248, 5774, 3648, 4279, 4797, 5907, 55, 6496, 1947, 9557, 1570, 6956, 1736, 8717, 3641, 4369, 2009, 1660, 2791, 186, 9213, 2118, 2971, 5037, 9071, 4337, 5511, 6432, 8957, 8877, 396, 3991, 5966, 2615, 7303, 2019, 70, 2892, 5979, 3736, 8658, 7560, 6266, 8073, 4334, 2732, 7728, 9450, 2247, 1677, 2889, 8847, 1723, 4000, 5798, 5030, 3394, 5104, 3334, 370, 4634, 5384, 7990, 7929, 4155, 7729, 352, 749, 1705, 8231, 3486, 5031, 2351, 1811, 9796, 297, 3126, 8622, 7293, 4252, 9549, 4876, 3993, 1164, 1851, 3767, 2030, 1488, 8156, 7718, 7680, 4341, 1183, 3967, 3071, 2543, 6633, 6613, 8251, 1070, 2273, 6960, 4062, 6777, 2918, 5673, 940, 8348, 2688, 1094, 5627, 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4812, 1378, 6929, 5115, 909, 347, 5923, 896, 9956, 351, 6579, 2587, 7879, 161, 8087, 1899, 8819, 7306, 5695, 6952, 1914, 1389, 6236, 7733, 4600, 5403, 8075, 1725, 7873, 6505, 5205, 9129, 7532, 6981, 9909, 206, 39, 7992, 7436, 1787, 7343, 790, 1714, 1599, 8462, 1496, 2335, 4089, 6072, 9765, 6890, 7259, 5930, 2790, 8639, 9171, 8317, 5159, 6078, 5150, 6752, 3799, 1332, 3360, 3836, 9111, 9592, 3197, 99, 1019, 8106, 2347, 2088, 765, 4973, 9048, 2234, 864, 1924, 3625, 782, 8492, 265, 7697, 6692, 8151, 2304, 9682, 4359, 7040, 312, 6204, 8262, 6062, 7506, 2737, 770, 3460, 3576, 7470, 3707, 5986, 242, 6566, 2874, 7538, 875, 5498, 742, 6119, 1056, 6672, 6439, 3840, 7170, 1276, 7368, 3741, 8973, 4726, 6936, 3646, 9271, 6558, 245, 5802, 2027, 7246, 9116, 5110, 7140, 953, 701, 5633, 9930, 1261, 4218, 4547, 916, 1135, 7282, 7418, 2171, 3199, 4320, 3290, 4728, 8734, 6548, 677, 5391, 4319, 4587, 2924, 6052, 8256, 1442, 4948, 7568, 6923, 4992, 2325, 8836, 3169, 2056, 8702, 1874, 8617, 6693, 2752, 982, 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1577, 9221, 7749, 1850, 5327, 1430, 7552, 6488, 7057, 3727, 8259, 7937, 3072, 2992, 4288, 6686, 5427, 5503, 1490, 1403, 6014, 4988, 7546, 9755, 1604, 5126, 4970, 2143, 5578, 6294, 2850, 7234, 2897, 4749, 6051, 5398, 8303, 3033, 5928, 292, 1720, 7964, 848, 3297, 8385, 753, 4512, 7335, 1226, 2953, 8025, 7069, 6128, 2908, 7020, 3203, 4229, 9081, 5249, 8334, 8932, 8149, 4222, 9949, 8727, 4134, 6620, 6831, 4085, 3643, 2310, 7999, 8239, 1523, 2693, 6793, 3115, 7281, 8182, 789, 2497, 1731, 7292, 4786, 7857, 2852, 6785, 5785, 8289, 2509, 8153, 4596, 8222, 4034, 5532, 7456, 8863, 7982, 1760, 1314, 9785, 7871, 8127, 2915, 5877, 9508, 5262, 2926, 9529, 3761, 6144, 2556, 8177, 1513, 2675, 3242, 2241, 3141, 123, 6799, 7403, 2537, 3718, 221, 4086, 5023, 7623, 1730, 3129, 870, 6354, 1311, 3743, 2264, 3987, 6306, 1008, 5576, 545, 4245, 833, 2788, 8306, 9878, 7341, 5386, 7574, 2968, 7067, 18, 5439, 8392, 4530, 4831, 7841, 205, 7772, 4714, 3717, 594, 7328, 3665, 9000, 1988, 6235, 200, 6473, 6947, 570, 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2633, 663, 3702, 6045, 5963, 4225, 6122, 1583, 8827, 7686, 588, 3919, 4062, 320, 8343, 3647, 4057, 5877, 1846, 4604, 220, 2237, 6333, 7315, 7897, 2458, 9665, 1540, 1622, 8642, 2099, 602, 6425, 8077, 4320, 1557, 3307, 8610, 8942, 8612, 8488, 1142, 6126, 7099, 4907, 5565, 3226, 4789, 6435, 2777, 6523, 4321, 6542, 4409, 2431, 8830, 9845, 2820, 8203, 760, 15, 1706, 4899, 143, 3680, 9039, 9802, 6271, 1569, 40, 1893, 4243, 3357, 8021, 2007, 5017, 4821, 6031, 1744, 5123, 6576, 4460, 3641, 7012, 8775, 3177, 7615, 4982, 4361, 4738, 5932, 2075, 1376, 2504, 5353, 2031, 3087, 5216, 4755, 3127, 2395, 4030, 3131, 1042, 4582, 141, 7969, 1324, 9351, 1839, 7667, 8670, 8379, 4191, 7219, 2918, 5700, 6732, 8873, 2867, 3889, 7457, 5170, 5907, 5533, 1600, 7715, 2866, 6863, 6520, 25, 1964, 5560, 626, 5652, 815, 715, 3411, 5399, 7158, 1687, 4029, 5369, 1891, 3104, 5558, 6109, 7765, 6415, 480, 6946, 6423, 6429, 8337, 8994, 3057, 8314, 383, 4364, 9027, 5007, 6083, 7675, 7607, 5233, 7584, 925, 9538, 5584, 3261, 4204, 7595, 8149, 7592, 176, 3155, 7885, 3526, 8181, 4416, 5606, 4486, 2716, 658, 8375, 1872, 721, 2448, 1105, 7412, 5135, 3049, 5548, 1352, 7578, 3477, 2890, 5891, 3432, 4006, 1077, 3305, 9613, 1373, 9771, 8421, 1618, 1153, 9197, 3065, 5294, 1818, 9068, 5299, 7036, 8025, 1992, 2857, 1394, 4536, 4, 3753, 5901, 6805, 4025, 4020, 8491, 3461, 9464, 6157, 4013, 5022, 1599, 2687, 3547, 9153, 5450, 6132, 1514, 637, 5693, 9544, 3304, 4454, 8799, 4693, 4071, 5786, 3482, 4725, 471, 3242, 8195, 7650, 9020, 5229, 351, 4595, 7486, 4963, 9742, 6979, 2828, 2860, 948, 5270, 7366, 9412, 6422, 3471, 6040, 136, 5577, 3321, 3421, 6451, 7324, 7968, 3324, 8322, 3412, 2261, 7621, 3624, 5436, 4697, 1797, 119, 9160, 5969, 8458, 155, 3634, 2970, 5808, 48, 1347, 4110, 1123, 5525, 9094, 1117, 6225, 5955, 9218, 8334, 1061, 5044, 5777, 2044, 298, 743, 6119, 4315, 1948, 8229, 6973, 9129, 1619, 4865, 9431, 7959, 2250, 380, 5344, 3997, 2103, 8034, 5287, 6159, 51, 1886, 8562, 3939, 7133, 1028, 8055, 8569, 3037, 6077, 9876, 5591, 7388, 4425, 5825, 4213, 246, 4692, 7495, 6907, 7312, 3679, 9273, 7359, 4063, 1047, 130, 9399, 4016, 2195, 9908, 1119, 4994, 7910, 5564, 1616, 8698, 604, 4848, 5738, 3759, 4909, 8008, 6685, 7024, 63, 2886, 9239, 8772, 5881, 7533, 2464, 5145, 4237, 4517, 2736, 4230, 3286, 361, 7346, 287, 6607, 454, 8467, 8380, 4867, 811, 280, 7154, 1603, 2347, 5159, 8573, 9143, 4032, 639, 1423, 8623, 5073, 405, 7825, 79, 2794, 7475, 4822, 2224, 6677, 3484, 1792, 1934, 1958, 1164, 2337, 4825, 6398, 9024, 2251, 4082, 3722, 1803, 7983, 6017, 2984, 2643, 3386, 3855, 8678, 2191, 9957, 9473, 6960, 6908, 505, 8747, 8146, 8455, 7226, 5637, 7994, 4610, 9042, 2602, 2379, 5751, 7199, 413, 191, 5666, 972, 3443, 9886, 7444, 5389, 66, 8070, 3048, 5516, 6082, 404, 5885, 5653, 7232, 1469, 9163, 9835, 6839, 9572, 1885, 355, 7114, 2630, 2900, 3041, 1321, 534, 8535, 2043, 5494, 2815, 9367, 3803, 4731, 5477, 8684, 8294, 9744, 5998, 1814, 4413, 2616, 5725, 8920, 9782, 3232, 9491, 2838, 2118, 7990, 523, 7347, 3149, 338, 1843, 8691, 1606, 3971, 4794, 7790, 6468, 7554, 7562, 23, 2122, 7561, 4509, 996, 5403, 8777, 5757, 3312, 4947, 3297, 5152, 6753, 5539, 9447, 4889, 8231, 9076, 7483, 4745, 3938, 3764, 1559, 5178, 2993, 5110, 8699, 5087, 6280, 3245, 3733, 5731, 2391, 1697, 1335, 3136, 8428, 623, 4734, 8465, 4195, 5130, 7967, 5997, 9214, 8880, 2801, 4196, 1343, 8898, 6193, 2966, 5863, 1252, 1419, 2928, 1265, 7767, 1217, 9975, 689, 5590, 7152, 6670, 3448, 2089, 5568, 2699, 3862, 5959, 7815, 4924, 6519, 3384, 2532, 3496, 8483, 6741, 6574, 1334, 6118, 3558, 8746, 7293, 2055, 3587, 9215, 3235, 6001, 2197, 2115, 9181, 7697, 3405, 8981, 5717, 4133, 7229, 3742, 7101, 8482, 265, 3029, 859, 7107, 2899, 7417, 8419, 2981, 4850, 4263, 1161, 2751, 4522, 4640, 1416, 5788, 3124, 4808, 1523, 3839, 3738, 6383, 1159, 1386, 8153, 8722, 4862, 9150, 4892, 2298, 3833, 3406, 8840, 7779, 5830, 7273, 9362, 5406, 2174, 1200, 8919, 4884, 4863, 7738, 2826, 144, 5034, 1532, 2586, 991, 854, 6878, 3314, 9703, 325, 3544, 108, 5677, 2790, 1727, 7887, 976, 8006, 861, 3134, 4702, 1653, 7319, 8750, 9592, 2202, 5347, 8035, 9472, 3130, 8963, 2591, 43, 9884, 9751, 5446, 6481, 3168, 1041, 2439, 2947, 2239, 3257, 4316, 4720, 7461, 1869, 5471, 2848, 6299, 2529, 8723, 2238, 3364, 6635, 704, 860, 8927, 5535, 7987, 1694, 7494, 7132, 4796, 6057, 816, 6798, 8825, 134, 2894, 3475, 5491, 4729, 6164, 4718, 1815, 4965, 831, 7962, 8174, 5122, 9607, 1490, 1358, 3638, 4691, 6297, 6059, 8037, 3630, 8587, 6485, 4881, 2106, 3135, 1049, 7869, 3827, 1114, 3711, 1283, 7127, 1589, 4915, 9611, 2210, 1655, 1950, 8017, 1100, 6923, 3409, 3735, 8966, 9164, 6493, 2941, 2523, 3545, 9899, 7972, 3150, 851, 6796, 2799, 3429, 2760, 5269, 850, 5082, 2074, 9305, 5504, 727, 4696, 2653, 217, 2560, 1097, 6514, 8613, 8758, 2384, 4804, 5171, 3081, 1541, 4185, 6711, 8808, 7845, 9046, 885, 3197, 2475, 171, 3984, 1920, 3377, 7455, 4372, 8910, 5156, 2565, 8411, 306, 9872, 9313, 9438, 8807, 4260, 6869, 9633, 1723, 1080, 124, 1408, 4403, 2661, 6857, 7161, 3382, 2343, 1908, 3510, 6404, 5011, 4414, 2477, 1004, 2325, 18, 9873, 1176, 6760, 2642, 5443, 981, 8931, 5217, 5800, 4527, 3110, 3116, 5536, 329, 4795, 6154, 72, 1611, 5537, 1588, 5904, 9244, 6838, 2702, 9501, 9300, 9834, 941, 1479, 1764, 6187, 634, 3137, 1772, 5214, 4919, 317, 6616, 372, 605, 6475, 9086, 9746, 6949, 7298, 4573, 5978, 1350, 3812, 8295, 3771, 9263, 1912, 5862, 533, 5341, 6240, 686, 3143, 5202, 1020, 701, 9920, 6555, 1796, 7261, 1913, 4490, 1916, 5465, 6882, 3154, 9521, 45, 8084, 2747, 3299, 7425, 6371, 1513, 3479, 2517, 9763, 7831, 2697, 5545, 4366, 582, 7512, 3095, 7611, 9430, 5787, 3248, 1811, 8882, 8141, 6657, 2146, 5611, 674, 940, 6442, 5672, 9259, 8213, 5026, 295, 8558, 7020, 1610, 5992, 4176, 1306, 3604, 1493, 3720, 6877, 6226, 5047, 4999, 7884, 1462, 3639, 5398, 1059, 3329, 2788, 484, 8010, 4769, 3507, 2638, 9698, 3808, 5673, 2664, 473, 516, 8855, 9676, 638, 7362, 4114, 5823, 8228, 9111, 8410, 9260, 8638, 5386, 1326, 7861, 1053, 1526, 276, 4514, 5547, 335, 3089, 6028, 6824, 618, 6918, 5635, 8798, 659, 5593, 8436, 174, 3184, 477, 5065, 430, 3027, 9298, 1538, 9286, 3445, 452, 2297, 789, 6457, 1935, 8268, 4928, 5580, 241, 1371, 9626, 8821, 4365, 3185, 1954, 5798, 9087, 5927, 9340, 1241, 5759, 8075, 1050, 3083, 3433, 2315, 4529, 493, 3356, 7876, 8826, 5283, 6247, 9383, 1101, 8788, 6606, 1221, 4797, 3873, 7170, 3657, 294, 97, 2640, 887, 433, 4980, 8397, 2746, 6932, 3369, 544, 2911, 7350, 2317, 7557, 2014, 4672, 6601, 4803, 4330, 8784, 3807, 410, 4530, 7340, 4733, 1927, 2467, 5517, 1421, 9625, 3567, 6572, 4219, 9618, 9972, 1598, 8420, 1033, 4088, 1391, 625, 9978, 8252, 7802, 1106, 8022, 4448, 7060, 606, 799, 504, 4190, 2271, 4307, 6571, 135, 7385, 2327, 8198, 5532, 9266, 296, 284, 3275, 6261, 8687, 9818, 9096, 4812, 6461, 9374, 3044, 5782, 8631, 384, 4130, 6359, 742, 6084, 8909, 3483, 5350, 1991, 2965, 5025, 2289, 158, 1770, 9268, 2232, 6631, 3962, 8480, 2450, 2656, 8771, 8324, 9356, 4334, 8147, 4952, 2371, 6307, 7027, 5931, 7540, 4060, 2208, 2042, 4815, 6720, 6033, 2368, 1604, 3001, 3966, 4948, 4709, 4700, 2696, 2535, 2881, 7786, 5134, 2363, 2739, 9941, 4337, 2214, 2536, 4861, 3495, 665, 8745, 3423, 3928, 4040, 3993, 2266, 7157, 4064, 9967, 8646, 5363, 9965, 87, 1887, 736, 2524, 7386, 6876, 82, 1302, 4627, 4871, 4479, 2058, 6291, 3322, 9844, 1127, 596, 2632, 8185, 333, 1287, 7544, 5853, 5105, 3447, 8734, 7185, 354, 6055, 843, 2199, 2968, 908, 2764, 6239, 4407, 6176, 9651, 6453, 8629, 3594, 8029, 9566, 719, 7260, 6097, 6779, 4991, 2492, 8293, 6682, 1995, 3672, 9084, 2655, 7506, 1495, 2280, 1747, 6218, 8127, 6101, 3937, 9893, 853, 7993, 5658, 3537, 964, 3170, 8329, 3599, 1089, 7521, 6997, 8435, 5032, 6980, 3054, 150, 4053, 8102, 3986, 2505, 7893, 3047, 6669, 8513, 4351, 8087, 1968, 1248, 6678, 9784, 944, 7924, 4868, 4031, 8158, 3102, 967, 2540, 5043, 2689, 4404, 7791, 1124, 1434, 7116, 9306, 269, 5869, 8301, 8663, 1637, 5908, 1702, 754, 2164, 6209, 3119, 7339, 4317, 3583, 6377, 7656, 6241, 2897, 5049, 771, 5046, 7855, 9409, 1166, 293, 8834, 1951, 6880, 5524, 3233, 5409, 7624, 3892, 3528, 6825, 2531, 8330, 954, 4966, 6856, 8143, 6174, 877, 7404, 7469, 568, 6872, 1286, 2578, 4976, 4209, 1024, 2216, 9942, 9013, 4077, 1875, 8978, 6858, 9187, 777, 7546, 5794, 7038, 6026, 1905, 4214, 5531, 1870, 6944, 2316, 5348, 1418, 687, 2923, 9070, 6260, 3440, 8405, 4215, 6821, 9861, 4075, 6769, 3152, 2735, 4819, 4224, 3643, 6659, 7280, 4297, 9211, 7714, 4134, 2622, 3651, 4584, 4208, 7527, 7892, 6332, 5594, 483, 7601, 7491, 8986, 9038, 3333, 4830, 1921, 3139, 5161, 7477, 9757, 4780, 6750, 1167, 4502, 9249, 5372, 4059, 3278, 7287, 6191, 3870, 899, 7728, 8009, 2530, 3018, 132, 4044, 198, 1952, 5182, 7051, 5902, 5088, 5160, 1182, 787, 8177, 1247, 7903, 994, 5873, 3230, 1007, 4169, 3913, 3207, 5518, 7690, 8649, 494, 7452, 5080, 8824, 5093, 3182, 8409, 9085, 431, 1549, 5583, 9267, 2452, 3956, 3749, 9567, 2340, 4152, 5814, 963, 2194, 4873, 4890, 9061, 6269, 6348, 3768, 3332, 6106, 7096, 3910, 6618, 1766, 4656, 8434, 3456, 6788, 6476, 2334, 5085, 8332, 6714, 1272, 9976, 6091, 5769, 7446, 2059, 5055, 4051, 4430, 8859, 3982, 321, 4199, 3560, 2659, 6053, 8413, 5670, 244, 1786, 6344, 2405, 3428, 753, 7858, 6197, 6386, 1328, 9731, 3191, 1722, 7900, 3566, 730, 989, 1624, 7106, 4019, 1096, 835, 9890, 7463, 8412, 3262, 7449, 8529, 1368, 7302, 5141, 6206, 8928, 7509, 3293, 4508, 5298, 3343, 6589, 761, 3108, 749, 3347, 5365, 3801, 9307, 693, 1654, 5019, 28, 7696, 9692, 2688, 1732, 8414, 2028, 7982, 9098, 6751, 738, 1295, 6060, 9869, 4385, 6130, 7653, 9275, 1444, 3636, 6646, 6622, 5793, 4462, 5335, 729, 2823, 1155, 1874, 437, 5813, 6090, 2959, 7629, 4763, 2796, 178, 6668, 5405, 2273, 2883, 3669, 425, 5939, 4773, 1409, 7420, 6649, 2348, 6731, 5309, 2258, 5117, 5586, 9806, 1260, 1140, 2710, 1360, 8056, 7282, 4294, 1440, 3014, 3817, 4638, 1931, 357, 7289, 3557, 8142, 5713, 8763, 1341, 9879, 3072, 7625, 2092, 931, 8057, 6061, 8160, 3010, 9535, 1810, 5166, 3427, 7593, 688, 2569, 2934, 4451, 5501, 3273, 4779, 8258, 8780, 9728, 9100, 8503, 4772, 336, 9466, 7848, 3263, 6653, 5262, 7840, 9761, 5181, 4296, 8443, 1447, 9712, 5378, 8504, 7499, 3158, 7830, 2176, 648, 1079, 3408, 4878, 8300, 7435, 5779, 1620, 5223, 4001, 8139, 6712, 3662, 7184, 508, 2681, 8911, 3468, 3346, 8389, 9583, 5281, 9815, 9714, 261, 6092, 620, 1476, 2201, 5382, 2267, 1277, 5851, 3172, 553, 3628, 183, 398, 313, 538, 2196, 6499, 4410, 7776, 5886, 9035, 6892, 4566, 820, 6012, 4790, 3940, 7384, 9471, 4122, 389, 2372, 9915, 2070, 91, 1307, 9909, 5334, 4661, 1545, 9090, 2782, 1982, 1699, 3424, 6459, 2960, 2489, 396, 5333, 8316, 3683, 6761, 8797, 2726, 8605, 3734, 5201, 1757, 4800, 5818, 3474, 617, 70, 6358, 4792, 7265, 4501, 6153, 3003, 1548, 9619, 7810, 7296, 5370, 7828, 825, 6957, 8471, 4355, 6243, 1823, 453, 1923, 5979, 125, 2694, 1641, 5943, 6650, 3787, 2852, 4744, 1854, 5101, 755, 9760, 9555, 801, 4511, 917, 5627, 7826, 4643, 9180, 6902, 5920, 1224, 530, 764, 1904, 4286, 2404, 758, 8633, 2131, 6582, 6014, 1428, 1396, 4993, 3282, 6361, 1776, 6598, 4091, 3260, 373, 5909, 7419, 3941, 387, 8571, 7251, 569, 1574, 6701, 1185, 1967, 5062, 9120, 2537, 8446, 8101, 9758, 1132, 1791, 4150, 309, 1483, 142, 9051, 6201, 8945, 9314, 3354, 5900, 9232, 3905, 800, 3225, 5343, 7196, 1505, 858, 5118, 4987, 1071, 8317, 1452, 3890, 5847, 8589, 5783, 6214, 8444, 5330, 2660, 8676, 5712, 7915, 78, 2682, 781, 9159, 4750, 2386, 5015, 318, 1572, 1794, 1785, 6772, 8964, 4753, 440, 2637, 1890, 3267, 2034, 9189, 3835, 8016, 778, 2811, 1828, 6233, 9028, 1026, 7687, 52, 1963, 3125, 1196, 847, 4249, 876, 798, 2414, 4678, 1427, 7832, 4809, 2302, 5499, 5850, 3470, 7853, 9970, 7600, 979, 88, 7556, 8751, 3320, 3530, 1594, 1845, 4730, 6414, 3514, 5838, 4950, 1230, 6085, 1613, 2228, 7332, 1682, 868, 7085, 251, 4466, 8545, 24, 6249, 3815, 8779, 9238, 457, 3214, 8567, 7031, 624, 1446, 5616, 3295, 2562, 914, 6171, 9057, 7364, 1289, 575, 960, 4719, 1474, 8640, 5546, 6672, 1195, 9710, 8452, 6355, 6887, 3074, 3784, 6447, 4239, 5685, 1566, 7071, 8805, 3838, 8325, 7652, 9222, 929, 3178, 1630, 1190, 6096, 6066, 464, 6364, 2761, 1236, 2387, 7930, 226, 4028, 4259, 6120, 7224, 7235, 5459, 7138, 7805, 694, 2742, 7336, 2672, 6874, 660, 6150, 1144, 765, 745, 5973, 4026, 2282, 9856, 7000, 9475, 1567, 1292, 2319, 9554, 3504, 5194, 3281, 7109, 998, 6142, 7467, 5183, 5654, 5972, 9776, 5715, 1209, 2926, 5962, 1748, 1062, 6689, 4576, 8267, 2496, 9749, 8449, 2596, 1184, 1122, 1693, 4761, 4670, 2244, 2342, 5686, 9711, 7870, 4671, 455, 8236, 5277, 7833, 1971, 8992, 7517, 4922, 2373, 7699, 2781, 2603, 9012, 608, 8953, 3368, 1243, 3208, 2269, 8091, 9059, 8065, 1571, 6920, 3285, 2009, 4087, 5373, 7479, 3553, 8487, 6810, 4154, 7406, 3460, 2645, 7583, 2143, 8838, 7177, 5076, 5438, 2494, 8991, 2771, 1094, 2184, 5880, 2293, 1724, 4418, 4547, 7581, 4217, 2525, 3410, 699, 6970, 8399, 4143, 2670, 573, 2356, 6177, 7626, 1983, 7415, 7536, 9183, 8167, 9604, 4392, 2362, 356, 6591, 9436, 4311, 7392, 8042, 3670, 3016, 4054, 177, 8706, 1929, 1141, 1208, 5434, 6024, 5934, 8683, 6897, 5063, 3927, 4274, 9857, 75, 2412, 1997, 1578, 9563, 6533, 2927, 5189, 1896, 4586, 5636, 8769, 2580, 1086, 85, 1129, 478, 8744, 7487, 6919, 4996, 8461, 3663, 8836, 6103, 1072, 4192, 678, 3556, 5542, 7636, 8018, 832, 9199, 2392, 1107, 8792, 4802, 2527, 2017, 3947, 4256, 7135, 1226, 9161, 5351, 5585, 9264, 2658, 3390, 8737, 3822, 1251, 9109, 5809, 3017, 2072, 5112, 3875, 5317, 9937, 9378, 3620, 4876, 5241, 111, 567, 209, 5404, 6700, 2508, 4194, 5391, 4426, 2402, 4688, 277, 9031, 7129, 2462, 9136, 1429, 6693, 5106, 5132, 6430, 1475, 273, 1338, 1937, 9726, 7907, 3035, 166, 8608, 5230, 8967, 8061, 4231, 4449, 418, 9898, 7176, 2932, 6648, 1942, 6378, 4978, 3692, 6497, 204, 6151, 485, 6823, 2221, 4553, 2275, 7637, 173, 219, 5310, 2377, 6064, 5919, 2417, 4276, 1906, 2490, 7716, 6809, 2691, 391, 7633, 5522, 5811, 6167, 2836, 731, 3204, 1877, 4177, 9113, 2773, 2351, 6544, 7631, 223, 162, 9015, 5587, 1034, 6699, 5665, 6765, 2567, 2967, 6399, 5634, 5045, 2554, 9720, 7318, 8076, 9490, 7684, 1481, 9456, 8786, 959, 957, 5116, 3592, 5020, 64, 1362, 4565, 7437, 1075, 1812, 1671, 8211, 9700, 2049, 9442, 7059, 7390, 5375, 9556, 2158, 359, 2944, 4441, 855, 2465, 5655, 4211, 9695, 211, 5632, 1636, 8478, 3426, 5870, 6709, 3442, 1809, 5899, 1499, 2243, 1866, 6111, 7645, 871, 4285, 3617, 4743, 3609, 4096, 1453, 869, 9548, 9549, 34, 8242, 9514, 2626, 7351, 9677, 101, 3327, 6707, 5613, 6505, 1981, 6168, 4252, 475, 6735, 5754, 966, 5744, 2601, 1822, 7769, 4011, 2695, 2996, 5774, 1547, 3693, 4198, 6445, 8066, 1524, 186, 6391, 1090, 2922, 242, 6131, 3276, 7864, 5641, 1998, 6775, 9736, 2724, 385, 977, 8578, 2819, 5950, 420, 1296, 5674, 5650, 7448, 3455, 1290, 9477, 6357, 8335, 4223, 926, 6037, 4035, 3887, 6454, 3987, 543, 5469, 8269, 1253, 39, 2124, 2482, 4371, 9560, 4737, 8004, 6547, 9251, 432, 2177, 2986, 118, 7700, 5265, 3159, 878, 713, 7056, 2249, 8286, 4703, 9184, 8378, 7003, 5579, 7001, 6367, 2785, 5639, 3107, 4806, 3302, 4917, 2499, 4615, 30, 9523, 5985, 8152, 1171, 3201, 1994, 1684, 8003, 4647, 5484, 4614, 5018, 340, 1806, 9840, 7748, 238, 955, 3813, 439, 1073, 6780, 2550, 4555, 1455, 9648, 9221, 248, 9203, 5374, 734, 4945, 5804, 7797, 3166, 1768, 3264, 3785, 680, 1892, 2551, 6940, 8468, 2737, 5243, 6362, 7518, 1909, 7898, 5797, 4629, 9009, 7283, 806, 812, 2978, 304, 9827, 6009, 1235, 726, 4655, 6492, 8395, 5608, 6581, 6305, 7938, 154, 7877, 1802, 7189, 2599, 8243, 3909, 1736, 4882, 934, 362, 9785, 5425, 1227, 6733, 1883, 8342, 842, 8186, 3777, 9484, 8817, 4594, 2218, 7575, 5249, 1055, 888, 1512, 4893, 2013, 6374, 9502, 1789, 4543, 9652, 5140, 1460, 5832, 8263, 4061, 2579, 7689, 8327, 7480, 1889, 7644, 6146, 8667, 7104, 4644, 1194, 1550, 225, 352, 3836, 282, 3303, 8525, 1082, 5030, 9075, 3218, 7248, 408, 5099, 6180, 3741, 1864, 3160, 1496, 3524, 9176, 5293, 6819, 445, 4067, 110, 3319, 2112, 6353, 7397, 2361, 258, 9320, 2152, 2461, 7573, 1780, 8688, 1432, 8990, 8212, 6986, 3820, 9072, 5942, 1667, 346, 429, 6828, 2703, 1426, 9092, 9557, 2136, 1120, 2721, 722, 8326, 1313, 3449, 4036, 8265, 2179, 905, 5506, 2546, 5848, 6379, 4086, 3098, 2306, 1509, 4247, 3975, 641, 1639, 8184, 1739, 8740, 5036, 7192, 1491, 3978, 5464, 3200, 2775, 3012, 4271, 5921, 3399, 8949, 750, 6638, 5060, 5064, 6752, 1118, 2230, 8764, 1847, 3478, 9620, 1749, 2766, 2151, 1813, 2154, 5866, 7795, 5724, 2491, 9452, 6529, 2810, 3413, 7574, 6719, 6100, 3350, 1898, 9503, 8907, 8973, 3342, 7614, 6051, 3876, 5075, 784, 8108, 4754, 549, 5857, 8049, 5806, 8051, 3, 995, 3931, 4971, 6388, 1575, 3957, 8020, 9459, 7306, 6675, 6570, 2483, 9148, 2213, 2763, 1926, 5392, 1380, 656, 3236, 8594, 403, 47, 8760, 2025, 9934, 4056, 7092, 9669, 3788, 7603, 9687, 1420, 9532, 8206, 880, 1264, 5640, 737, 7288, 2307, 4659, 2415, 7710, 7363, 9082, 5646, 2553, 2853, 1501, 856, 775, 649, 5944, 1237, 224, 5144, 349, 1203, 6400, 4066, 6891, 2559, 279, 1174, 8104, 4985, 6924, 37, 9715, 7371, 2767, 5905, 44, 973, 9245, 1332, 1116, 6202, 9421, 3797, 5833, 7241, 8244, 8107, 1213, 4562, 1266, 1756, 1615, 5588, 4711, 2123, 4438, 525, 4596, 2750, 3419, 2575, 5449, 9683, 677, 2272, 1516, 5651, 6777, 9914, 5552, 5422, 9033, 7476, 746, 9054, 7485, 4037, 9624, 3503, 249, 1656, 2283, 7906, 9576, 5470, 5623, 1700, 919, 537, 1503, 2807, 622, 3935, 4636, 5771, 399, 442, 3250, 3694, 6134, 5854, 2907, 6603, 1382, 7807, 1665, 9011, 6808, 3633, 8946, 2442, 3173, 9783, 7703, 3864, 4052, 3403, 1953, 7812, 1831, 1355, 54, 3648, 1932, 6813, 3517, 2510, 1228, 8254, 9323, 9551, 2139, 2842, 5937, 7140, 8238, 397, 9064, 3792, 9443, 4370, 8490, 8131, 8509, 1592, 8028, 172, 5615, 95, 590, 4654, 6504, 7739, 1354, 3754, 7490, 5951, 7236, 804, 9056, 5079, 259, 3105, 3854, 4713, 708, 5383, 3000, 2446, 1725, 5662, 1403, 7134, 8565, 7504, 7165, 8110, 1322, 5412, 4262, 4931, 5263, 6259, 3198, 5362, 3576, 7062, 5210, 3486, 4826, 4831, 17, 5815, 1450, 4347, 7920, 6467, 5027, 3086, 1246, 3436, 7678, 8593, 3552, 1728, 6161, 3051, 100, 6942, 882, 9875, 58, 7225, 5199, 4554, 3831, 8344, 4981, 1837, 5633, 4095, 337, 1108, 5155, 200, 4888, 1449, 2977, 6336, 4393, 448, 5455, 6508, 98, 2242, 6702, 3387, 7757, 511, 207, 9002, 4181, 9616, 902, 205, 3450, 3850, 7423, 208, 8255, 5307, 8984, 6124, 865, 4389, 8655, 2016, 301, 4681, 4503, 1970, 4258, 6916, 7882, 4732, 8917, 3730, 2597, 5940, 7503, 1531, 7839, 8516, 201, 1152, 2117, 5084, 131, 9149, 6278, 1466, 1054, 8159, 585, 2631, 4455, 8941, 6943, 1650, 8802, 7935, 6228, 8674, 2051, 9826, 5505, 7276, 1232, 6401, 4570, 1726, 3853, 8871, 2679, 9157, 770, 6834, 9303, 3727, 8712, 6418, 6710, 9338, 213, 1763, 1778, 7230, 2991, 707, 80, 1498, 9953, 6718, 578, 8484, 8064, 6716, 2047, 8368, 163, 6137, 7468, 3934, 2294, 3069, 9650, 2080, 6799, 364, 7548, 768, 8370, 1533, 2182, 5761, 4374, 7510, 415, 4910, 3653, 9393, 8773, 2534, 4722, 8887, 21, 1537, 4251, 5648, 5984, 2309, 1674, 8979, 6806, 2440, 7023, 7249, 5098, 4094, 4115, 7564, 2732, 7794, 4606, 2040, 1036, 2619, 4706, 2339, 3326, 946, 7442, 1740, 2992, 2198, 7094, 7343, 6605, 1580, 1357, 8870, 3306, 7761, 4805, 7820, 5602, 5142, 7560, 5770, 2885, 1375, 7399, 532, 2912, 5366, 7254, 1065, 1644, 1895, 4674, 2416, 9678, 5895, 1911, 7874, 5092, 7210, 8598, 5628, 5714, 5121, 2711, 7323, 904, 664, 1087, 322, 2125, 4653, 839, 8913, 4887, 7040, 2411, 4949, 3976, 8694, 5965, 2435, 3467, 6950, 3538, 3543, 521, 2114, 6729, 886, 3500, 1497, 3856, 4699, 2625, 1150, 2098, 7961, 6221, 5708, 903, 6254, 3668, 7100, 180, 3569, 7194, 5445, 5861, 2668, 8019, 6698, 2004, 5139, 3298, 2160, 539, 4857, 2904, 5215, 6515, 6007, 666, 7108, 3893, 8749, 8068, 4580, 2561, 7917, 1536, 5407, 1058, 8940, 7827, 8118, 4774, 4264, 2708, 6466, 9469, 4126, 6279, 4445, 5821, 2731, 8272, 2797, 4695, 7201, 4350, 5884, 7763, 1172, 7055, 1441, 9018, 4268, 1730, 7736, 3943, 4548, 6512, 4331, 6931, 4880, 3216, 4100, 9252, 3009, 7642, 9435, 307, 1125, 6629, 6827, 3466, 1609, 9595, 2018, 3688, 1138, 456, 2390, 5163, 1056, 3732, 9429, 1454, 1607, 1634, 221, 260, 492, 4325, 9979, 9754, 1043, 9621, 7722, 3188, 5760, 3206, 1678, 9789, 9212, 6029, 3954, 5669, 8486, 1996, 826, 6667, 5316, 5441, 5967, 6801, 9841, 4210, 6634, 5153, 5679, 3625, 7792, 1884, 86, 1392, 2223, 4292, 7872, 2831, 552, 2320, 8561, 7713, 7774, 1745, 2952, 7809, 4279, 9943, 8040, 1465, 2905, 1587, 9357, 59, 1234, 4250, 2264, 7291, 1735, 7718, 7891, 4008, 3032, 8194, 1259, 2132, 1605, 9922, 6104, 5702, 2398, 4864, 6141, 2119, 7740, 4704, 3186, 4567, 1448, 3358, 1938, 7976, 6652, 4241, 5354, 2331, 2891, 1539, 5352, 6370, 7250, 2574, 3879, 6419, 1417, 6366, 8534, 8702, 4369, 8890, 7610, 9004, 3231, 7501, 5176, 6842, 592, 9637, 3070, 2205, 4039, 652, 33, 3897, 9179, 8442, 6791, 636, 3494, 8469, 9478, 2605, 910, 8278, 3845, 6566, 9043, 5737, 1902, 8280, 8982, 6426, 9743, 2091, 5482, 6945, 554, 6776, 1643, 36, 2084, 1215, 7856, 74, 3292, 8713, 4992, 3818, 9346, 3229, 3280, 1878, 3655, 56, 6275, 6871, 5856, 7844, 4820, 7543, 5355, 5835, 281, 2127, 5224, 4677, 1993, 6428, 1364, 7252, 187, 4336, 8965, 1030, 8597, 4870, 9210, 7122, 8333, 3968, 579, 264, 3779, 8768, 1646, 5878, 4179, 5831, 824, 7237, 6510, 5402, 5691, 8225, 2163, 3269, 546, 612, 3959, 2817, 4226, 6227, 9262, 4344, 7029, 69, 6008, 8803, 9001, 9110, 1584, 9509, 6853, 4760, 6909, 1305, 8170, 661, 7692, 227, 460, 5589, 8604, 2980, 9045, 9959, 2087, 6274, 8617, 4377, 8510, 5013, 5493, 6480, 5843, 692, 2572, 2141, 4348, 1563, 2800, 8692, 1340, 3511, 2468, 2383, 5423, 8092, 9162, 1858, 8889, 2085, 3644, 9097, 7665, 2858, 497, 7796, 897, 4874, 7267, 3033, 1068, 4467, 8819, 274, 3564, 5599, 3780, 891, 2964, 5397, 9654, 3270, 896, 2188, 2162, 3007, 7215, 3050, 9512, 679, 2260, 3506, 8394, 137, 1267, 6695, 982, 4024, 5460, 9617, 1069, 3179, 9589, 4074, 1349, 6850, 9526, 2022, 1399, 1279, 3463, 3828, 5563, 4989, 848, 8762, 7393, 570, 8235, 3138, 862, 2000, 7823, 3965, 1134, 8793, 2802, 1437, 7952, 4101, 3681, 8656, 2248, 3799, 2101, 6727, 3951, 3488, 1769, 7964, 6636, 7443, 6532, 1211, 2304, 6996, 725, 347, 6352, 7945, 7676, 434, 8253, 3079, 5573, 1045, 1807, 7745, 720, 1317, 4163, 1315, 7470, 3085, 671, 1294, 6843, 9489, 345, 519, 1808, 3518, 1879, 5730, 1240, 5498, 1130, 2011, 3073, 8059, 2538, 6785, 5528, 3325, 22, 7263, 8247, 5792, 2920, 8876, 1168, 5388, 4497, 7410, 7271, 3181, 8457, 3974, 8346, 256, 1439, 2882, 8132, 3141, 6396, 1225, 7083, 9536, 6416, 9257, 2029, 5780, 4911, 3040, 5162, 5698, 8137, 6999, 1623, 2056, 9753, 9235, 3075, 9684, 9955, 8689, 6541, 752, 6868, 6742, 9951, 3549, 3011, 5596, 932, 5523, 6723, 9236, 9476, 9487, 906, 7780, 1969, 5753, 4473, 190, 5660, 6690, 807, 3169, 7793, 5795, 2722, 3189, 594, 3120, 2590, 3067, 7953, 6559, 5035, 4939, 394, 1099, 3743, 524, 1390, 2570, 4141, 1262, 1648, 9104, 1137, 6138, 449, 7262, 7758, 8601, 9547, 1424, 366, 4431, 3847, 6494, 8875, 233, 4180, 7679, 796, 6088, 3099, 9139, 1078, 8796, 214, 8508, 6272, 2849, 5746, 4788, 8993, 1804, 7688, 116, 7754, 8814, 8173, 7130, 7041, 7166, 2707, 7305, 7484, 9949, 3842, 9138, 6181, 969, 8621, 3193, 3903, 6740, 300, 236, 3761, 3778, 2241, 9897, 5421, 2341, 8246, 4798, 1662, 7666, 196, 586, 7569, 152, 9376, 7493, 5246, 782, 2326, 6680, 377, 3626, 9880, 5479, 7255, 1976, 3610, 9739, 459, 3924, 6372, 2945, 7925, 4835, 6351, 8289, 5949, 1851, 4958, 527, 9223, 4860, 8122, 447, 6579, 5332, 5433, 7551, 2172, 4673, 428, 3540, 161, 4923, 0, 4504, 2652, 1040, 5272, 5726, 8178, 7409, 3531, 7944, 2159, 1788, 2512, 9537, 9772, 3373, 766, 4513, 6768, 195, 9667, 8012, 5197, 3253, 344, 6313, 3920, 8599, 3283, 6641, 1862, 8126, 8424, 1010, 2167, 1143, 7926, 5507, 9246, 7883, 866, 3563, 120, 6879, 6654, 2388, 933, 2880, 5136, 893, 8156, 6580, 3472, 2940, 1928, 5490, 4459, 5367, 3650, 7978, 2673, 6078, 2563, 2292, 8731, 1799, 2500, 7142, 5053, 2032, 8250, 9940, 7175, 1019, 8996, 3794, 9408, 3268, 522, 4246, 189, 3345, 67, 8277, 2674, 8650, 3673, 3381, 4235, 462, 7596, 837, 343, 2311, 1459, 9480, 5796, 3800, 5240, 495, 1406, 9906, 9948, 2299, 7164, 3315, 2776, 5676, 4759, 2855, 1021, 2418, 805, 4872, 2756, 6673, 5486, 1783, 9117, 8742, 6972, 1488, 3872, 3490, 5747, 1801, 9044, 8954, 2749, 1826, 3167, 8719, 3493, 7084, 8787, 4705, 640, 2930, 2082, 8959, 3438, 7914, 4930, 3371, 1206, 4834, 7125, 1859, 6235, 3921, 6914, 1477, 7222, 6340, 303, 8616, 4778, 9735, 6676, 6886, 2235, 469, 2318, 8972, 9154, 6314, 2759, 4338, 1109, 9381, 7474, 4421, 363, 3736, 7520, 5271, 5556, 2792, 6342, 3344, 1384, 1121, 6293, 4079, 7018, 5781, 311, 938, 584, 8256, 323, 5721, 2157, 2090, 6899, 2389, 5206, 956, 1947, 7811, 9272, 9404, 691, 7300, 3729, 1145, 5266, 9317, 2185, 1039, 9685, 5070, 1975, 1404, 9023, 9642, 7411, 8234, 7034, 2030, 245, 3163, 4489, 5480, 1445, 9328, 4299, 2558, 6462, 5414, 3904, 1016, 6898, 9795, 1836, 3888, 14, 4556, 1907, 7747, 1841, 2789, 884, 3052, 7008, 1754, 6600, 3194, 8408, 1829, 7037, 2291, 4859, 8214, 6859, 4172, 4041, 4970, 9411, 3328, 4139, 7314, 4597, 6354, 4318, 4402, 2856, 2936, 4588, 2024, 1720, 7913, 7149, 6273, 4468, 5411, 2969, 2424, 6408, 6696, 2171, 5912, 5643, 421, 2429, 3331, 1197, 8869, 6417, 2677, 9505, 441, 1091, 9413, 3062, 3585, 9717, 2895, 3867, 8179, 4828, 446, 1163, 4058, 5718, 1731, 1737, 7048, 5649, 7771, 8952, 8580, 2493, 7522, 4632, 6039, 5071, 435, 5454, 2798, 2270, 5930, 4764, 2564, 1136, 4816, 4630, 4236, 2715, 9114, 635, 4727, 747, 8832, 1288, 9006, 4440, 7308, 9858, 6586, 6075, 7648, 8296, 7871, 4477, 4817, 1515, 9982, 7695, 3830, 3435, 971, 1955, 6000, 4687, 9379, 5012, 4651, 7007, 6995, 3129, 192, 5074, 7837, 3061, 479, 633, 3123, 7565, 4962, 9213, 4481, 2956, 7890, 146, 2407, 6759, 4306, 2571, 5236, 6433, 266, 684, 378, 8844, 3972, 71, 7505, 1401, 4420, 7799, 5232, 4739, 4538, 164, 8785, 5974, 4132, 1000, 1504, 1359, 7301, 9321, 5839, 2421, 852, 6864, 6560, 8404, 9178, 3687, 2192, 3572, 1300, 2604, 3747, 2925, 875, 8416, 5180, 8058, 4324, 3829, 3020, 9701, 1473, 4658, 5620, 4585, 7081, 5415, 4946, 5991, 374, 4528, 7749, 8191, 3224, 4601, 370, 9226, 42, 9493, 9708, 7526, 5039, 8386, 3473, 9829, 9029, 890, 5510, 2812, 4149, 5129, 7155, 9315, 2401, 9811, 1795, 2204, 7033, 7043, 6628, 3059, 7322, 2021, 5111, 9229, 3060, 4009, 8050, 7370, 9037, 5408, 7244, 4099, 9499, 474, 5138, 4423, 436, 2422, 9598, 4048, 803, 6910, 8579, 2359, 6888, 1102, 6554, 1112, 4972, 3891, 6517, 5527, 32, 8943, 6840, 1202, 8030, 9345, 3157, 7206, 9594, 650, 331, 2107, 560, 1348, 112, 7112, 8894, 2548, 2663, 2973, 7316, 5928, 2149, 2684, 8119, 2212, 779, 7943, 4611, 6301, 8765, 4072, 9146, 3527, 5868, 1652, 8262, 2001, 9271, 7932, 339, 937, 5400, 9756, 1688, 417, 5244, 1395, 1032, 1186, 2352, 1046, 8136, 2265, 6548, 3698, 6335, 6948, 7602, 9798, 19, 6237, 3550, 1974, 874, 3660, 7466, 2252, 2868, 4598, 2129, 9774, 6390, 122, 2975, 5828, 7974, 4162, 285, 9026, 609, 310, 3153, 1319, 5736, 630, 709, 8977, 9330, 1617, 1830, 8299, 1633, 8696, 9297, 5041, 9543, 3288, 4240, 8886, 41, 928, 5364, 5029, 9333, 2995, 9112, 3713, 3708, 3039, 958, 6325, 8507, 4106, 3077, 2594, 1188, 2902, 9495, 3969, 1233, 7069, 9, 2385, 6483, 326, 9256, 2675, 7356, 741, 3266, 2063, 8548, 3256, 5802, 3093, 7398, 5247, 2498, 149, 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3354, 5314, 7440, 5709, 7040, 7425, 8486, 8355, 3700, 4003, 3720, 3804, 8506, 2041, 5546, 1915, 6186, 2674, 6257, 6267, 2848, 1667, 3457, 6837, 2825, 8279, 6618, 6938, 688, 6234, 6737, 898, 4959, 7793, 7875, 2867, 4143, 5238, 5343, 8271, 8126, 3580, 1222, 4628, 989, 855, 6112, 7620, 3615, 462, 1138, 8373, 4626, 3815, 7940, 3863, 2558, 2591, 5519, 7025, 591, 7388, 8154, 7910, 8676, 7605, 9147, 4979, 7505, 5250, 179, 3603, 4400, 6071, 6431, 6349, 3821, 6118, 1238, 2533, 3754, 6898, 5503, 867, 5904, 3875, 5089, 5786, 3690, 7359, 8708, 2027, 4362, 8717, 74, 9123, 7437, 2641, 8127, 1739, 3284, 4062, 8331, 8739, 6954, 5330, 1127, 5081, 2188, 5562, 2148, 459, 4837, 4850, 6942, 6216, 7244, 7557, 763, 7288, 8704, 2376, 4541, 630, 3699, 4549, 4797, 3526, 7906, 54, 7444, 3285, 619, 3529, 3563, 5788, 6069, 5226, 7753, 6608, 5228, 3597, 2683, 473, 4932, 5571, 36, 5056, 2573, 5799, 7936, 1616, 1371, 5824, 8132, 4558, 3584, 3923, 3914, 2099, 4592, 3635, 3912, 7998, 5750, 5885, 3047, 4026, 116, 7697, 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3399, 6786, 6089, 2276, 5640, 1890, 246, 692, 1615, 3609, 8190, 8325, 5939, 2014, 2749, 3989, 6284, 8037, 5482, 293, 3639, 4843, 5225, 936, 6245, 866, 903, 8674, 7117, 7272, 5062, 4334, 5821, 7996, 1619, 2813, 6655, 9755, 6278, 4989, 2873, 4022, 3022, 2352, 7755, 7291, 6940, 2387, 6517, 2815, 5315, 8243, 5416, 2379, 4128, 3794, 6672, 2308, 6725, 5603, 4604, 5850, 3072, 9691, 546, 7439, 6140, 7965, 8596, 1496, 5344, 3387, 9190, 5325, 5218, 1953, 2922, 2531, 4367, 5017, 5611, 3626, 7104, 8245, 7269, 6796, 252, 8939, 2090, 6843, 266, 1006, 6590, 8282, 7634, 5423, 3375, 5321, 5943, 8629, 1962, 2686, 6700, 7969, 4316, 1840, 5792, 885, 6895, 3305, 1829, 484, 5201, 3692, 1956, 8588, 7767, 445, 837, 824, 1075, 6886, 5033, 7828, 4114, 1696, 1843, 1171, 9881, 7808, 3466, 4735, 7895, 3106, 4863, 2590, 9661, 5375, 3071, 4164, 5624, 4211, 4996, 3120, 5732, 821, 4591, 7189, 9181, 8866, 2453, 4925, 1446, 7493, 6777, 7957, 5774, 1828, 4375, 3397, 8803, 4208, 3286, 1719, 2732, 8857, 460, 1900, 9019, 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249, 6588, 4309, 830, 8524, 4611, 4170, 7893, 783, 5839, 7487, 2604, 7945, 9335, 6456, 3984, 9100, 109, 3436, 8699, 2196, 3192, 3241, 2940, 7598, 3333, 5114, 9097, 3872, 6722, 4838, 5809, 7224, 4873, 4599, 7351, 8683, 6770, 3524, 8192, 599, 2951, 9171, 2669, 4485, 7057, 8142, 8168, 8074, 6133, 6930, 2741, 4609, 2570, 8101, 6817, 6423, 7490, 9625, 3122, 1593, 6453, 4980, 8696, 3707, 1932, 3727, 5212, 5352, 2738, 3104, 7033, 294, 336, 1448, 8698, 8660, 8592, 8877, 4699, 3833, 7872, 3852, 5594, 1201, 9534, 5391, 1239, 5981, 9557, 649, 9925, 7919, 3060, 170, 9001, 8034, 6901, 9505, 6399, 3276, 2831, 5585, 4938, 1658, 1208, 4686, 4204, 831, 522, 2874, 3990, 4480, 6235, 7062, 137, 6139, 5890, 8452, 4088, 8027, 6390, 9356, 2613, 6214, 2482, 7531, 1800, 7484, 2335, 6449, 5916, 1998, 2936, 319, 1639, 876, 8890, 3890, 7170, 7822, 1497, 1379, 311, 7297, 3490, 4354, 3273, 1114, 4058, 7068, 376, 71, 5620, 8729, 2085, 37, 4091, 9132, 785, 6507, 2172, 7648, 1982, 5191, 4816, 7757, 4413, 863, 4366, 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6310, 9884, 5888, 6341, 9284, 7825, 6548, 7103, 4908, 8214, 735, 3966, 8426, 1567, 3731, 3718, 3947, 1987, 5209, 9110, 8488, 8891, 164, 9624, 1553, 1808, 2953, 2776, 8259, 6752, 304, 2359, 9289, 9291, 7999, 7143, 8688, 6981, 5213, 7519, 6768, 8227, 6457, 6473, 6635, 5467, 3239, 1433, 6526, 2791, 3523, 505, 3458, 9458, 317, 2248, 8136, 3796, 9803, 2008, 4486, 7665, 9040, 8086, 5715, 8712, 2849, 4351, 7930, 3602, 9012, 4569, 9056, 4606, 5922, 7489, 5169, 2074, 8896, 6818, 2666, 7394, 5869, 9729, 1086, 3712, 4015, 3911, 4511, 4856, 9130, 3467, 6667, 6640, 638, 916, 6438, 1116, 1988, 1417, 4858, 5407, 8741, 7047, 8065, 4568, 5705, 3425, 4687, 2025, 7970, 4809, 7912, 2930, 8172, 6225, 7477, 4087, 270, 20, 8909, 7609, 9782, 397, 1947, 5497, 1364, 4962, 453, 4934, 6250, 8995, 6583, 208, 8852, 7992, 560, 6237, 434, 2234, 2505, 326, 310, 127, 2102, 1931, 6959, 6921, 2855, 3133, 8908, 181, 7072, 9205, 575, 7960, 6741, 9911, 9078, 6403, 1320, 9434, 874, 589, 2634, 7986, 9590, 3077, 7582, 9520, 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8506, 6322, 1239, 2132, 4581, 6598, 1159, 842, 284, 2100, 3860, 1229, 5964, 9693, 3026, 7359, 5918, 6214, 8658, 5313, 4, 538, 6764, 1483, 1237, 8223, 4833, 4271, 3788, 193, 3787, 5036, 708, 8264, 2000, 426, 942, 8929, 8734, 5884, 8099, 2645, 2446, 1469, 5277, 9180, 8502, 3224, 8114, 8957, 1042, 6260, 2945, 8, 8870, 3953, 3226, 4018, 3839, 3517, 5653, 2251, 1981, 4754, 6622, 5585, 3207, 794, 8474, 2386, 7834, 6970, 6145, 5794, 5200, 4178, 4600, 8659, 9087, 881, 2020, 4395, 2353, 2650, 2899, 1151, 9675, 4095, 2607, 1809, 373, 6475, 4312, 2151, 1094, 4902, 1647, 6131, 4826, 9844, 947, 6912, 8119, 4245, 2152, 3889, 2856, 6655, 1580, 3546, 3203, 8393, 1445, 4268, 328, 8794, 7404, 2756, 7303, 6534, 4897, 8302, 2042, 8300, 6587, 2068, 8674, 6447, 8737, 2933, 4475, 8382, 475, 3369, 9017, 5651, 2419, 307, 7522, 7564, 4310, 8079, 3126, 7685, 3367, 8104, 339, 8243, 5271, 273, 782, 9034, 8394, 6496, 4196, 5830, 2764, 5588, 8992, 7516, 9159, 5916, 1232, 6704, 5418, 5905, 2048, 4338, 6967, 5766, 7558, 4758, 7475, 6464, 173, 2795, 7256, 5503, 6485, 3364, 6697, 7375, 6246, 2539, 2351, 7283, 995, 6369, 3841, 389, 2027, 1968, 4901, 8856, 8550, 7293, 4106, 777, 7801, 4052, 571, 2858, 5227, 7323, 6083, 3694, 7239, 7923, 5736, 4780, 9918, 6373, 7154, 7521, 8966, 4577, 3301, 3256, 5784, 5796, 4503, 4067, 6938, 2108, 5709, 4307, 767, 3419, 4111, 5614, 5191, 5135, 5421, 8328, 3825, 3695, 9379, 2608, 7229, 5074, 4393, 2213, 967, 1723, 9179, 6005, 6202, 4635, 7738, 355, 3370, 7053, 1153, 4455, 3411, 3620, 8832, 2547, 3599, 737, 7655, 3882, 6501, 9736, 5530, 8621, 7922, 3812, 695, 3119, 5078, 8945, 8851, 9291, 7422, 2626, 590, 9835, 5128, 5596, 8093, 282, 1687, 5221, 9195, 1840, 4672, 6743, 8428, 2714, 4675, 5430, 6037, 4125, 5719, 4186, 6585, 1307, 4678, 7501, 8057, 1132, 8866, 8452, 8345, 1114, 618, 6366, 1457, 6715, 6321, 7468, 6855, 2379, 2349, 523, 6707, 716, 3835, 2232, 5150, 5511, 7698, 2165, 3933, 8268, 5280, 9290, 9752, 2230, 4986, 5509, 7746, 2688, 5485, 3032, 1108, 8991, 5846, 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2676, 7957, 7629, 2158, 3487, 4421, 5084, 6084, 3199, 1667, 1498, 2900, 6160, 6523, 8362, 2045, 2596, 179, 903, 2120, 2013, 5368, 1596, 3570, 5965, 6176, 1096, 9367, 5761, 3051, 1788, 7530, 7464, 2092, 3482, 6884, 6357, 7067, 9339, 3505, 5545, 9175, 4425, 3567, 6565, 9199, 2106, 1248, 6217, 2732, 4451, 3644, 9758, 899, 584, 1204, 2897, 8801, 733, 3990, 1976, 3503, 7734, 7227, 1515, 8591, 4045, 7817, 5852, 6620, 2008, 7984, 481, 8481, 5527, 6885, 8143, 8387, 4340, 2424, 6445, 4396, 5522, 8529, 9011, 2619, 9004, 871, 3387, 2893, 1368, 3223, 7397, 4129, 791, 501, 4190, 5985, 1827, 7903, 7285, 1674, 9127, 2883, 8783, 702, 2804, 5771, 5050, 2494, 912, 3807, 8746, 5114, 672, 7930, 8064, 327, 7162, 6400, 9402, 1154, 6105, 2304, 8638, 6353, 4671, 1225, 5765, 788, 3741, 6900, 729, 4440, 5989, 764, 4586, 1347, 3500, 732, 3052, 2724, 608, 2654, 5694, 4143, 9057, 3831, 1797, 6881, 4309, 1384, 6257, 3402, 3624, 8388, 919, 7423, 1868, 3204, 4923, 2282, 6824, 1816, 3225, 2961, 4508, 150, 3610, 1120, 808, 7818, 1466, 9558, 9031, 6753, 256, 5836, 8457, 7342, 3130, 4926, 8558, 4743, 2837, 5664, 3152, 357, 3642, 8372, 5840, 553, 7563, 6354, 1496, 353, 161, 3056, 4377, 5192, 337, 5628, 6187, 4369, 6924, 855, 978, 6352, 8000, 5976, 4034, 3282, 6013, 7533, 93, 1849, 8768, 1901, 7694, 2431, 3530, 1760, 281, 7989, 5380, 2288, 135, 9568, 6623, 4610, 5066, 7868, 3568, 1235, 3072, 3717, 3676, 3200, 8235, 6500, 6559, 9020, 673, 5353, 7374, 7842, 925, 8752, 3852, 7264, 8159, 1700, 9610, 1886, 7778, 7382, 2084, 8095, 1371, 8868, 7788, 4647, 8411, 320, 7160, 955, 8631, 4535, 988, 6633, 5730, 8706, 7010, 1301, 1125, 8247, 1996, 2046, 7252, 3534, 6936, 6567, 5212, 1436, 1639, 4298, 8293, 4540, 7573, 2204, 6205, 37, 6561, 2415, 6875, 3942, 5071, 3840, 5648, 2460, 7481, 9349, 477, 9073, 741, 829, 5414, 6929, 6618, 1437, 1620, 2920, 8455, 7385, 9312, 3834, 5435, 8717, 8985, 8632, 6282, 8317, 2073, 6889, 8941, 5187, 4257, 7438, 4827, 1559, 3023, 5571, 7167, 5481, 6344, 8571, 1078, 2488, 6239, 9513, 3921, 6511, 5469, 8827, 1006, 4767, 4173, 6857, 6517, 1109, 5208, 3850, 3136, 6801, 5682, 1746, 3394, 6168, 7100, 464, 2802, 8120, 2573, 5931, 6926, 3127, 8255, 7094, 6888, 4463, 7366, 9665, 365, 3114, 2720, 8984, 8249, 1312, 8004, 4835, 1739, 4089, 7969, 7724, 2951, 6313, 1118, 3244, 7386, 5670, 8055, 92, 8519, 9272, 4401, 9557, 3692, 6714, 4725, 1927, 5603, 480, 9488, 160, 3857, 4141, 1350, 2874, 6382, 5159, 1673, 928, 213, 1502, 6513, 212, 6419, 9292, 1317, 1435, 7221, 7669, 5415, 7450, 60, 8818, 7946, 3206, 1090, 1741, 3778, 8369, 5776, 4134, 6197, 1536, 2455, 6571, 5632, 8479, 9491, 8031, 7758, 5376, 2414, 5850, 6267, 4124, 2836, 3937, 2560, 7027, 472, 9755, 2926, 8068, 6121, 4233, 5671, 3160, 4989, 7170, 425, 3770, 7319, 7796, 7137, 5841, 5685, 4845, 1951, 1073, 6146, 2396, 3444, 5922, 742, 99, 309, 7790, 3550, 5536, 4914, 4896, 9637, 1706, 3625, 3304, 8661, 8161, 1112, 1041, 8391, 1071, 520, 8169, 3174, 9957, 9049, 5775, 7363, 7496, 9220, 292, 5602, 1954, 8579, 463, 4817, 3208, 5623, 823, 4021, 3322, 1633, 6662, 5381, 6757, 3010, 9109, 5563, 6329, 2014, 6248, 8346, 7810, 9320, 7902, 4410, 3951, 2515, 1821, 8875, 839, 8753, 714, 6952, 3989, 2516, 8440, 1589, 5791, 254, 1053, 4860, 5737, 8047, 2632, 8232, 8163, 383, 1988, 3442, 1688, 4593, 1677, 2241, 9132, 833, 2441, 5261, 8728, 7294, 1752, 1357, 2115, 1299, 4213, 6803, 4055, 4319, 8509, 1820, 8238, 1878, 4331, 4592, 7245, 6006, 6914, 6584, 1504, 61, 1813, 4689, 6955, 6090, 3465, 4556, 9161, 2604, 1282, 2860, 2468, 7030, 5009, 5270, 1520, 1631, 8511, 2343, 848, 8943, 6375, 832, 9751, 2667, 7169, 5403, 7823, 7234, 1545, 151, 390, 4187, 9448, 8629, 3461, 8179, 3262, 5780, 7331, 677, 1579, 2674, 4066, 4856, 2059, 3094, 562, 3734, 6280, 9430, 1148, 7620, 5249, 3862, 9766, 4276, 9888, 4234, 6149, 5360, 3361, 7938, 1482, 6433, 8927, 822, 6183, 554, 8599, 6469, 7209, 1644, 693, 1963, 1953, 1003, 5838, 9231, 1547, 304, 71, 6853, 5070, 5039, 7928, 4285, 3786, 6116, 9503, 9211, 5980, 2628, 5741, 3074, 5202, 4352, 2579, 8813, 6529, 1957, 719, 5398, 2417, 3547, 452, 717, 8691, 3936, 3209, 9749, 4580, 1244, 2536, 4883, 5615, 4049, 7656, 3656, 7213, 7784, 7139, 1072, 9980, 5026, 1516, 3413, 7636, 1276, 2904, 3985, 2781, 8197, 396, 4231, 8948, 1270, 7704, 8867, 6370, 7267, 4430, 1626, 7065, 698, 8548, 8895, 3468, 1134, 7281, 3813, 3228, 9436, 7833, 3384, 2326, 6166, 3549, 4260, 3747, 6209, 4816, 4711, 1552, 3089, 5677, 8876, 6712, 1195, 8392, 6806, 2408, 9154, 7581, 6695, 8462, 187, 5601, 6450, 7079, 7653, 5348, 6927, 4692, 7890, 6385, 8577, 6690, 4497, 6858, 3115, 6128, 6453, 8027, 5961, 4160, 3704, 4701, 9313, 4459, 8627, 3723, 3897, 2963, 1209, 3325, 5243, 2796, 3883, 6817, 424, 7619, 7937, 826, 3372, 6489, 7987, 6401, 4502, 3700, 6554, 5848, 6383, 7274, 8364, 744, 2807, 7302, 1977, 8905, 2846, 3104, 9697, 1624, 1784, 1133, 2955, 5447, 3381, 1794, 1012, 9920, 963, 7333, 7783, 9930, 3628, 3609, 8731, 4289, 537, 6552, 7095, 1860, 387, 5660, 7395, 2889, 4911, 6122, 4941, 4496, 1845, 3760, 8751, 9738, 7487, 6679, 8221, 5576, 5454, 3532, 1252, 6, 838, 4917, 4366, 3488, 4699, 3755, 667, 7859, 6432, 2315, 2483, 456, 9303, 637, 9064, 2355, 9104, 8336, 7028, 2735, 8164, 2162, 7574, 9080, 409, 6148, 6992, 4303, 6868, 1916, 5513, 9002, 5979, 8664, 2623, 4012, 5169, 7119, 1066, 3746, 7463, 4587, 8613, 2992, 8289, 2556, 5967, 436, 3343, 2325, 7352, 9040, 5395, 1851, 1390, 2744, 8466, 8410, 8042, 8376, 8153, 2551, 9653, 5, 2731, 4025, 9178, 956, 2553, 932, 4880, 1220, 4092, 8999, 547, 1607, 6027, 4292, 5514, 2872, 2394, 8126, 2571, 611, 3791, 8836, 8872, 9156, 5044, 2818, 9032, 648, 5417, 3085, 8085, 9898, 2174, 1623, 5792, 8843, 1268, 6599, 5910, 8720, 5442, 130, 4346, 2346, 17, 7712, 4523, 2888, 5092, 5675, 8038, 9431, 8847, 3906, 3633, 2509, 156, 8274, 825, 7346, 4374, 2050, 7335, 8781, 5446, 3153, 2782, 7365, 7403, 7446, 5933, 6723, 6156, 2271, 2324, 1215, 6363, 490, 3853, 7262, 6415, 5110, 7604, 946, 9826, 8424, 6530, 9244, 8449, 8074, 8532, 26, 5865, 7388, 7411, 6574, 2323, 3283, 7217, 447, 994, 3477, 9549, 4007, 3564, 4230, 9847, 4834, 7215, 8416, 909, 1984, 2788, 3298, 8442, 6785, 5283, 7358, 2669, 4316, 6686, 7623, 7793, 6076, 3589, 4810, 1038, 1490, 1341, 6147, 4538, 1766, 6968, 9497, 879, 5072, 3636, 1396, 795, 1379, 6490, 6051, 4831, 8522, 5264, 4391, 6351, 5455, 7592, 7033, 6774, 9459, 3961, 445, 6052, 418, 7887, 856, 7594, 3291, 100, 474, 7109, 6298, 6526, 9056, 6656, 7911, 3450, 8718, 5583, 582, 363, 2087, 5518, 1841, 7674, 7394, 8239, 18, 643, 5637, 2924, 4460, 3383, 6215, 4630, 7659, 6745, 6144, 7014, 4353, 6223, 3535, 8515, 13, 6852, 748, 9713, 2722, 3513, 4805, 9974, 5622, 7899, 2295, 8754, 8231, 3521, 7022, 4378, 735, 487, 6961, 6272, 27, 4888, 131, 6834, 8168, 4394, 2361, 4978, 535, 550, 9937, 9968, 5456, 3885, 7238, 9315, 6890, 5224, 8821, 6540, 3221, 3829, 1769, 2998, 6265, 5342, 1485, 4149, 1842, 657, 6576, 6583, 8636, 4146, 4409, 1557, 9934, 7271, 6341, 5163, 359, 7050, 5524, 8660, 7307, 1668, 7015, 8350, 5001, 2238, 5023, 7023, 9550, 1405, 3266, 2922, 1600, 8385, 5649, 5397, 4928, 3489, 6886, 5332, 7, 4847, 8707, 4542, 3651, 3879, 1488, 8210, 1929, 2519, 2749, 4163, 2973, 6849, 6334, 7885, 6163, 4764, 3007, 3086, 8437, 1040, 4138, 4640, 4444, 666, 3458, 8020, 7128, 498, 2195, 69, 638, 4035, 2610, 4171, 5256, 1274, 3490, 7848, 7259, 9102, 7134, 4550, 2927, 691, 1780, 1352, 2690, 4431, 6439, 380, 9750, 7513, 5877, 6271, 1902, 3452, 616, 6049, 1319, 7287, 5937, 6203, 2587, 4547, 3129, 3582, 789, 9794, 8830, 570, 6477, 7325, 1708, 4492, 4529, 3069, 1086, 214, 6910, 7986, 1026, 4778, 142, 6838, 4913, 7924, 5480, 8470, 4874, 1016, 7585, 2839, 8605, 110, 2979, 2085, 294, 3520, 7861, 8292, 1730, 5083, 6636, 3435, 7667, 3757, 4181, 6626, 5573, 6426, 8755, 2407, 689, 7831, 6171, 4318, 2550, 6793, 7561, 7941, 960, 787, 2835, 2154, 711, 3084, 8557, 8354, 3646, 9714, 2191, 4768, 1896, 5486, 8103, 2865, 3653, 6264, 1254, 4256, 8932, 191, 1453, 4525, 2219, 4705, 5619, 5816, 6901, 1922, 9376, 7806, 3935, 2310, 8952, 514, 7500, 2966, 221, 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6123, 7092, 4851, 6781, 9681, 5333, 4941, 4872, 704, 1607, 6739, 6831, 18, 649, 6111, 1201, 6142, 1962, 8141, 5325, 4833, 7025, 3997, 592, 5443, 5428, 1034, 6608, 4685, 7382, 6508, 327, 7906, 6374, 3091, 1763, 4651, 8000, 3733, 5025, 1172, 1050, 3802, 7262, 8935, 9094, 7582, 977, 2900, 2673, 2946, 5794, 2616, 8699, 2777, 4846, 7114, 275, 4754, 4627, 2669, 4800, 3324, 8266, 5372, 701, 7108, 741, 8974, 5717, 60, 4725, 728, 2249, 8133, 2086, 6371, 3454, 7859, 8508, 5530, 980, 2787, 6711, 1669, 1221, 2486, 633, 3890, 8662, 4366, 8062, 2191, 6973, 7714, 8385, 4108, 789, 3545, 9147, 1792, 3788, 7377, 4173, 2309, 3804, 4935, 3923, 1809, 2373, 1435, 2854, 256, 4225, 1822, 760, 9810, 8937, 9222, 304, 2225, 8874, 4449, 7834, 646, 6909, 6487, 3097, 4748, 6163, 5334, 5660, 7348, 1066, 2749, 2142, 3968, 8355, 4621, 4394, 756, 5545, 1472, 2732, 1383, 3772, 3531, 8351, 2971, 5860, 6434, 5019, 2677, 4260, 8961, 2014, 4084, 8639, 2523, 9845, 2876, 7170, 3492, 7560, 3341, 7671, 5409, 357, 6551, 6178, 8820, 6339, 1371, 9254, 8608, 5920, 4662, 7623, 3114, 3785, 9010, 1806, 8627, 5151, 929, 7342, 1194, 5302, 4266, 3562, 2026, 8884, 2578, 7967, 3261, 5147, 9432, 6495, 2421, 6876, 3093, 2300, 4503, 8431, 5290, 8087, 5783, 1322, 1099, 8705, 8878, 3291, 8726, 8127, 1067, 5054, 2957, 227, 1125, 7894, 102, 1841, 3419, 1132, 4949, 8369, 6659, 4504, 7039, 9110, 7077, 385, 4594, 2114, 9406, 7823, 9476, 2044, 4289, 1949, 5929, 1888, 4238, 3424, 3626, 1304, 4595, 3437, 4797, 352, 4393, 7769, 3086, 8002, 1946, 5790, 8778, 2985, 3874, 8954, 819, 8690, 9143, 1340, 4399, 7700, 5183, 1042, 6634, 5958, 1049, 4470, 3914, 7564, 7181, 8817, 4587, 885, 7432, 8953, 2325, 5434, 2641, 8989, 6389, 9115, 7022, 1627, 6341, 2953, 1020, 3355, 6826, 5190, 8562, 8754, 4325, 1354, 3687, 5739, 4806, 5303, 1141, 3202, 660, 7090, 2687, 6108, 963, 3271, 988, 3516, 2103, 2393, 1840, 6855, 3790, 6954, 776, 3405, 2131, 573, 1456, 7501, 3205, 2160, 8581, 1971, 1924, 9171, 7326, 4286, 5359, 1954, 3013, 3154, 4944, 4658, 7910, 6063, 2337, 166, 3934, 8504, 5451, 8526, 6688, 8509, 2435, 4956, 8088, 706, 1625, 1041, 5903, 5719, 7520, 8925, 2707, 6927, 3513, 3239, 9833, 5368, 1665, 8740, 1514, 550, 7264, 1462, 9624, 3452, 5725, 9604, 2638, 6048, 7576, 4029, 1580, 5161, 595, 9615, 6593, 7199, 694, 6718, 472, 4082, 1111, 5329, 8177, 8988, 9146, 5414, 199, 467, 8621, 9212, 6885, 9587, 4766, 5095, 3600, 6705, 6273, 3472, 9750, 3174, 2830, 7010, 1510, 9786, 7328, 8243, 8253, 4016, 214, 6187, 3684, 1712, 5292, 6402, 299, 2625, 7572, 6401, 9257, 8757, 5906, 7879, 8391, 6462, 7053, 641, 1052, 7981, 7776, 4041, 603, 1876, 7118, 4403, 7778, 1148, 7413, 5746, 6966, 4706, 1914, 6867, 8826, 5203, 3400, 1038, 446, 2122, 3695, 1998, 9396, 9675, 6202, 8486, 8530, 3789, 477, 3068, 7054, 3166, 7541, 3678, 9955, 9082, 8898, 3827, 6670, 8643, 4682, 5265, 5808, 8502, 3006, 1086, 6381, 6412, 5564, 5573, 7958, 3017, 3815, 5119, 4768, 6851, 3484, 7970, 8167, 6937, 1089, 7086, 6160, 5518, 1178, 5496, 2477, 6018, 4529, 5441, 4235, 7319, 4367, 5677, 9057, 3480, 8328, 287, 670, 440, 3252, 2524, 4815, 101, 4165, 2020, 3482, 3518, 1932, 7263, 9498, 1476, 2717, 3446, 2215, 4452, 1192, 6102, 989, 5070, 4477, 7693, 1412, 859, 1269, 8421, 5669, 8692, 6864, 4533, 6315, 3854, 2954, 2019, 6931, 1666, 2269, 4892, 3184, 1536, 4327, 9279, 3581, 4993, 7250, 1644, 1151, 6809, 4860, 7978, 1667, 4379, 6251, 7718, 8544, 6157, 8856, 9740, 1186, 8182, 266, 4936, 6437, 5149, 8437, 5913, 1458, 174, 1835, 3842, 3596, 4077, 4240, 4665, 1709, 4779, 717, 2333, 333, 6769, 8118, 1080, 2394, 7334, 1550, 4986, 3949, 149, 6238, 5676, 7949, 1908, 3830, 6576, 5234, 6332, 3036, 1260, 1124, 3683, 7362, 1508, 4615, 3056, 5922, 2083, 3714, 8157, 380, 6485, 1053, 9664, 2346, 2156, 1623, 2799, 2282, 5927, 9313, 6857, 1684, 1300, 2386, 5430, 3259, 3781, 459, 8096, 3904, 6444, 4443, 5988, 4078, 738, 7072, 8683, 6334, 3618, 1951, 9721, 4187, 5470, 2969, 762, 3724, 2289, 2692, 2690, 4850, 3486, 2719, 5171, 4865, 2048, 508, 4495, 3734, 4853, 6177, 5476, 9235, 6504, 2245, 2983, 812, 8345, 2899, 1595, 1401, 9097, 5486, 4014, 6816, 4957, 6415, 478, 6542, 2276, 2356, 1252, 6362, 7787, 5834, 4411, 6756, 2566, 793, 5938, 5597, 5662, 114, 8918, 5362, 4039, 5336, 7841, 5723, 9055, 4185, 8901, 8776, 2886, 6254, 4561, 8864, 8706, 563, 671, 3146, 201, 8997, 974, 4828, 7868, 8360, 6507, 3952, 2324, 8375, 8781, 858, 7256, 9568, 2290, 7599, 1723, 9454, 6572, 806, 897, 7794, 5089, 2629, 5352, 9393, 1168, 1016, 1455, 7790, 1110, 6648, 1918, 6358, 8233, 828, 5798, 2678, 7445, 4505, 8093, 2531, 6350, 572, 5596, 7421, 156, 4932, 1715, 1150, 2268, 3908, 5674, 876, 5424, 7111, 4519, 7980, 2715, 5825, 5666, 6726, 6133, 35, 1146, 8370, 3444, 1697, 9018, 1239, 4037, 3722, 3611, 6500, 5618, 743, 2863, 9493, 2385, 9877, 2848, 7351, 1748, 8030, 8255, 533, 4933, 7403, 4894, 1414, 837, 3440, 6555, 7845, 833, 6095, 5158, 3791, 9268, 1686, 1262, 687, 1722, 8853, 3230, 8123, 2714, 7642, 6370, 8434, 6804, 6087, 5199, 7389, 2556, 5464, 2813, 5450, 3595, 3745, 5840, 682, 1235, 4740, 3162, 1440, 5841, 4210, 5547, 7119, 8674, 2197, 4583, 7001, 2525, 924, 6221, 1811, 1643, 6786, 9001, 2934, 5056, 2666, 3620, 1171, 1588, 1104, 7663, 3527, 1530, 3266, 1083, 8356, 8246, 6271, 787, 981, 7783, 2882, 3273, 2166, 4137, 3189, 1275, 1587, 619, 8281, 6097, 2965, 2378, 1677, 1241, 7755, 6396, 8288, 2927, 1165, 3801, 9208, 4300, 8181, 3101, 5786, 6265, 1555, 4213, 9862, 5583, 4805, 7830, 2618, 7283, 1336, 708, 1629, 1674, 5220, 7083, 2782, 9145, 2492, 4795, 5285, 3644, 7675, 3011, 5081, 7874, 6040, 6765, 6808, 7456, 3124, 8738, 3886, 9194, 3053, 9384, 5170, 2186, 2827, 9080, 5539, 2676, 142, 6344, 7212, 6130, 8326, 4808, 8626, 5550, 1410, 6589, 4189, 8609, 6936, 2483, 518, 9418, 7736, 3730, 2713, 9949, 6065, 8558, 6101, 3293, 713, 495, 5460, 3631, 1338, 3022, 2030, 8027, 2240, 942, 444, 7103, 8625, 9119, 5040, 75, 3691, 1864, 1475, 4770, 5981, 6136, 4420, 8934, 5733, 2745, 8296, 2586, 330, 2609, 2001, 3087, 288, 7116, 1497, 3671, 1481, 2349, 2622, 3417, 6107, 5271, 4955, 4890, 2395, 8009, 631, 2406, 5047, 9472, 4054, 8909, 3470, 8675, 4022, 7141, 1857, 6947, 844, 672, 2010, 7272, 3364, 7126, 7796, 4337, 425, 4104, 3269, 298, 2348, 1579, 337, 1346, 740, 0, 6127, 768, 2794, 7699, 6509, 1633, 620, 7409, 8440, 6474, 5134, 1457, 7370, 1315, 8301, 6442, 8091, 5946, 558, 5187, 2781, 1170, 1754, 3058, 4532, 7972, 5917, 7320, 1277, 5118, 5214, 5022, 5130, 6638, 1093, 6889, 1869, 2938, 5323, 7669, 118, 293, 5497, 7376, 3286, 5640, 2823, 7770, 1374, 4521, 3909, 5327, 5534, 736, 3848, 7607, 4401, 726, 7242, 8268, 7442, 6641, 2491, 6473, 5298, 4343, 4829, 6671, 9040, 9056, 7227, 5377, 7694, 5696, 4782, 91, 328, 8523, 3940, 4734, 2174, 4713, 1263, 1755, 6293, 5452, 2317, 1012, 7909, 7096, 1535, 7406, 6839, 3246, 5616, 2843, 2513, 4446, 4598, 4283, 9467, 441, 643, 7809, 2839, 7479, 7350, 6024, 1198, 5904, 32, 2028, 638, 7554, 4028, 93, 7276, 8108, 5406, 4863, 4313, 9064, 5180, 5700, 8858, 4641, 4007, 2796, 616, 6151, 1334, 2031, 2887, 9165, 5522, 7976, 1870, 4248, 7577, 2577, 3441, 1910, 8044, 431, 3080, 6322, 7153, 5228, 406, 418, 1469, 366, 8852, 3821, 8220, 1230, 3408, 4589, 7340, 2434, 7027, 9799, 3906, 8112, 5873, 2138, 8859, 6654, 6223, 8250, 8169, 8949, 7041, 5488, 1051, 5075, 7218, 7578, 8808, 5138, 7836, 1859, 8601, 9049, 7219, 6646, 6174, 3742, 9895, 6220, 8332, 3643, 5035, 9112, 6209, 4369, 5771, 8606, 6464, 1942, 5345, 4048, 2465, 3105, 527, 6635, 6845, 5926, 7752, 4284, 4697, 1212, 8350, 6623, 5985, 5703, 3865, 2452, 5502, 4466, 8577, 9163, 7653, 7802, 108, 6493, 2095, 471, 1894, 2632, 8322, 5582, 7475, 1306, 1232, 47, 7899, 2129, 3248, 284, 7055, 6186, 2244, 4816, 931, 1387, 8794, 5774, 3020, 4638, 4998, 3578, 7388, 5708, 4989, 7704, 1543, 4606, 1376, 4773, 4824, 1484, 667, 6969, 1503, 1113, 248, 4306, 8999, 799, 8271, 5030, 3723, 6232, 9174, 7210, 5258, 2437, 348, 5707, 4279, 9213, 2826, 6591, 1244, 7365, 5980, 1750, 6919, 1091, 843, 2179, 3664, 5300, 3373, 2716, 5738, 5788, 5815, 4053, 8734, 9320, 6694, 3260, 438, 4354, 1572, 1618, 3172, 3647, 5182, 2369, 7068, 5516, 2924, 6974, 220, 9027, 7722, 5243, 4868, 3498, 689, 6244, 3823, 6045, 8875, 7232, 6340, 2278, 4814, 4429, 7634, 745, 2178, 5838, 4415, 2404, 484, 4563, 4976, 941, 8291, 6562, 8506, 322, 281, 6677, 815, 9407, 213, 5339, 5574, 6152, 7221, 7443, 6629, 2810, 5469, 5955, 871, 3648, 4192, 1961, 3630, 3797, 5425, 6622, 2426, 9588, 9410, 4307, 7854, 978, 4996, 226, 1449, 6277, 3046, 8085, 66, 6734, 2774, 8576, 7587, 4522, 5135, 1174, 1402, 1716, 7635, 9458, 315, 5561, 7986, 7666, 6138, 4743, 2126, 8642, 4557, 7147, 8384, 4796, 730, 4666, 5483, 1875, 3681, 4436, 483, 590, 6522, 6159, 195, 4821, 6172, 4323, 386, 2660, 3137, 3451, 4517, 221, 3892, 9927, 6081, 8024, 1065, 7000, 3873, 1802, 4691, 6925, 6440, 8746, 2467, 8102, 4771, 4257, 4981, 1742, 7616, 8768, 4061, 8966, 2016, 693, 8229, 7452, 2916, 89, 1959, 3250, 7767, 2656, 2718, 6811, 3277, 7687, 3220, 9603, 8420, 568, 3633, 1762, 3442, 7741, 4428, 5213, 6566, 4208, 4334, 6001, 5038, 5196, 1948, 1853, 7240, 4422, 4997, 7002, 2000, 4255, 8592, 1208, 9494, 2643, 1120, 252, 4546, 519, 1209, 6518, 3744, 2819, 186, 7504, 947, 4765, 2398, 3443, 4450, 4085, 4789, 1196, 5360, 1872, 8075, 7028, 3598, 4527, 3688, 7684, 4294, 1062, 57, 8782, 5972, 117, 6201, 6417, 4720, 8014, 3409, 176, 1828, 5833, 1692, 4490, 3161, 473, 2265, 3538, 4819, 1541, 8257, 7327, 4272, 6394, 6920, 6633, 6318, 3158, 7734, 3021, 8902, 2170, 2271, 9013, 5373, 6354, 2761, 4412, 5796, 4356, 5538, 6574, 2879, 8561, 336, 3959, 1531, 303, 6298, 3481, 269, 6305, 103, 8468, 742, 3870, 7426, 3195, 6609, 9425, 9336, 2363, 1022, 3235, 7620, 690, 3928, 1931, 6212, 6182, 1142, 6901, 1399, 3754, 4970, 9523, 2342, 7580, 5668, 5939, 1370, 7274, 481, 6594, 3812, 1251, 8292, 4102, 1310, 6870, 910, 4591, 3029, 7368, 5487, 4826, 7594, 3942, 8106, 994, 2590, 875, 1407, 4362, 2619, 7937, 4540, 9769, 4909, 2167, 6348, 7875, 2594, 6118, 1291, 1400, 6378, 5250, 7627, 5857, 6184, 3863, 1659, 8634, 711, 6168, 3397, 3356, 5343, 4938, 7683, 1900, 7139, 6131, 7821, 6869, 666, 3844, 7738, 164, 4777, 2588, 7713, 4176, 5899, 1630, 1439, 4011, 6541, 5020, 9090, 6479, 7046, 5711, 2897, 9166, 769, 4200, 9096, 3170, 7335, 42, 6952, 2862, 343, 6615, 272, 8998, 2201, 3989, 5902, 8330, 8126, 135, 2237, 626, 9189, 9782, 5785, 7773, 364, 5465, 5680, 2427, 5242, 8584, 2291, 3121, 8654, 3973, 3311, 6053, 7323, 7353, 54, 7035, 2062, 8730, 1885, 4684, 4582, 1031, 6723, 1077, 6398, 7931, 2168, 5058, 8535, 7524, 3814, 8426, 6287, 4951, 6116, 764, 1429, 1610, 5731, 6043, 1958, 4164, 9920, 1861, 1799, 4112, 8248, 1575, 8432, 2976, 4153, 1851, 2283, 2411, 7339, 4696, 8744, 3739, 3314, 4791, 3159, 181, 4398, 5420, 6875, 2203, 9176, 4432, 9695, 1699, 5690, 5701, 1747, 2294, 2608, 7682, 76, 1578, 5046, 7689, 6044, 2299, 7987, 570, 6027, 6620, 4203, 5396, 2445, 6480, 4265, 3725, 4987, 6556, 4790, 4196, 8822, 1963, 4001, 8074, 1524, 834, 3594, 1500, 5212, 9484, 9367, 7638, 661, 6806, 5433, 1411, 7876, 5565, 1834, 4612, 7668, 5693, 6346, 5971, 853, 7487, 9954, 410, 6218, 5918, 6666, 1545, 3421, 5261, 1294, 7238, 110, 1191, 4718, 1040, 2584, 6897, 8339, 3153, 7261, 2006, 383, 4554, 2807, 6965, 5855, 4211, 3106, 8591, 2865, 1245, 3489, 1590, 8652, 5033, 879, 7588, 8538, 4731, 6934, 9006, 8496, 7997, 5314, 2637, 2730, 4946, 8083, 8241, 8831, 1632, 7106, 3709, 7066, 1461, 1672, 7574, 8960, 6071, 5282, 5633, 8008, 8130, 7768, 3209, 1384, 9580, 6425, 9230, 7015, 1676, 8877, 7101, 3041, 5405, 4388, 3759, 7104, 1950, 8886, 6465, 2850, 4363, 5704, 1889, 6700, 5427, 4502, 8188, 285, 4943, 3285, 4655, 7966, 8613, 7422, 5129, 3226, 5444, 5492, 6266, 2895, 3857, 2058, 1522, 9850, 6645, 503, 1211, 6774, 7247, 4474, 2699, 1033, 5721, 3127, 4058, 538, 3826, 820, 5178, 2012, 1280, 1161, 193, 1450, 5260, 6658, 5843, 4135, 254, 863, 5426, 3361, 2710, 4147, 9503, 9039, 8208, 1238, 4321, 7033, 2729, 9942, 6219, 8824, 7810, 7485, 5358, 2287, 1283, 4817, 4072, 6383, 8498, 4616, 7589, 8427, 1856, 3460, 3876, 1101, 3229, 6278, 767, 5201, 4905, 9585, 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4999, 1512, 9214, 9193, 8833, 2194, 104, 8178, 6407, 134, 611, 168, 6511, 429, 4437, 6129, 264, 9737, 8764, 6270, 8655, 9690, 5157, 7391, 6139, 4348, 632, 8477, 6689, 9849, 9291, 8832, 259, 106, 7275, 8201, 8971, 4065, 374, 4564, 7944, 809, 6939, 5868, 162, 2569, 4603, 239, 7285, 1702, 688, 7354, 2408, 1288, 7292, 2295, 1991, 80, 9598, 2305, 3388, 9814, 8948, 229, 4287, 5609, 1631, 6420, 8333, 8560, 9456, 3806, 2918, 2029, 784, 755, 4332, 4088, 4569, 1112, 1967, 6261, 9785, 8630, 7727, 7952, 9758, 2947, 9928, 605, 1348, 295, 9747, 4076, 8791, 9158, 2598, 8712, 7846, 3473, 3449, 9689, 9922, 1738, 5905, 8387, 9073, 4378, 5756, 3241, 9356, 1970, 7831, 2227, 907, 703, 1103, 4950, 7297, 8111, 7723, 90, 3679, 8155, 4234, 2514, 9818, 1735, 8620, 8656, 9507, 2859, 2003, 9473, 7825, 6158, 2617, 2738, 8758, 6066, 5009, 8235, 9543, 7273, 765, 6156, 9893, 198, 9022, 3972, 9576, 7449, 203, 3014, 3946, 1453, 5942, 6721, 1271, 5115, 1058, 6239, 4472, 5189, 6807, 8364, 9216, 3082, 7200, 8684, 7597, 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8716, 2175, 4013, 8565, 6328, 2883, 4377, 6143, 2410, 2329, 7481, 4718, 2891, 8323, 3299, 8028, 6933, 853, 7351, 5048, 4329, 1969, 2965, 3379, 4524, 6058, 9207, 2278, 7114, 4338, 2804, 6707, 4410, 6553, 7186, 5723, 2373, 1758, 6880, 3461, 4432, 3874, 1156, 7339, 8180, 1152, 5724, 4129, 6168, 5653, 8075, 5602, 5270, 2671, 937, 6659, 776, 5849, 3375, 3407, 4365, 4926, 8730, 4416, 7727, 1468, 8787, 5650, 4266, 7287, 4051, 979, 2624, 2340, 8786, 2739, 8035, 38, 2686, 6077, 1885, 5721, 4281, 4022, 3525, 7879, 2668, 6317, 2574, 2232, 3083, 6126, 6495, 89, 9015, 8118, 8937, 1971, 4533, 4789, 269, 4166, 1200, 4028, 5356, 6055, 1572, 2249, 9571, 3162, 2228, 6217, 6810, 4797, 5043, 8851, 5105, 5529, 3905, 4173, 902, 1174, 4750, 1315, 4814, 7191, 6675, 6330, 8824, 4046, 5888, 3144, 5476, 5407, 3463, 938, 320, 7073, 8213, 695, 702, 1926, 8827, 5834, 76, 2848, 4469, 1333, 5452, 4713, 667, 7697, 9891, 406, 8870, 8590, 6354, 1281, 8389, 6922, 6634, 6005, 1593, 7550, 5929, 7077, 6701, 3348, 5090, 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2799, 2952, 3514, 1637, 1592, 5664, 1535, 7093, 8653, 8602, 1602, 9222, 3172, 9147, 2125, 1310, 9732, 5564, 3688, 1735, 8119, 3841, 2957, 2075, 5378, 5646, 7585, 5434, 4151, 7236, 7822, 1606, 6507, 7067, 1020, 8418, 7978, 8030, 2653, 3405, 4553, 6819, 2277, 2738, 4402, 3982, 911, 1327, 731, 1510, 6766, 8784, 6031, 3573, 2581, 9157, 5555, 9017, 4623, 2464, 940, 7413, 1456, 5045, 4570, 3230, 1948, 8153, 2381, 6372, 7075, 5605, 4111, 1631, 6067, 1961, 2039, 985, 6349, 8008, 3416, 7756, 9700, 4007, 4839, 2486, 656, 5593, 5473, 6425, 7512, 1621, 6113, 3308, 4099, 397, 7637, 5420, 8340, 478, 7836, 4703, 4923, 6737, 910, 8673, 3329, 7590, 7039, 1047, 1035, 5325, 1880, 4681, 4651, 7677, 1839, 3268, 8697, 3851, 5093, 5491, 5114, 4769, 7096, 1246, 2325, 1513, 6822, 5876, 4203, 4117, 6477, 3690, 3857, 6981, 8148, 3672, 7444, 6798, 5419, 5504, 6597, 9861, 415, 2596, 7716, 6606, 1642, 9057, 2588, 5418, 6458, 385, 7734, 8181, 6513, 1336, 3654, 7016, 1753, 4351, 7228, 4268, 6667, 4294, 1109, 3194, 4399, 4985, 1538, 5084, 1980, 6447, 2923, 487, 5349, 5907, 8266, 3475, 3106, 4663, 8409, 4799, 6461, 3023, 9392, 4001, 3065, 6515, 4693, 3043, 423, 7770, 1705, 7680, 6734, 3617, 6387, 252, 8538, 4409, 7374, 3087, 7861, 5138, 4991, 2419, 9153, 8944, 5209, 9066, 3091, 173, 2889, 7922, 8016, 6201, 1031, 4970, 4358, 4601, 506, 4092, 9942, 3959, 7342, 6464, 5758, 5568, 5237, 3371, 6034, 2920, 1261, 3013, 3049, 4263, 6244, 7527, 4293, 9811, 3884, 1163, 40, 5058, 6338, 7061, 7511, 4928, 1984, 2895, 1359, 3752, 5712, 6616, 5124, 3676, 3077, 95, 6793, 9807, 8548, 5870, 67, 8134, 5947, 3934, 5018, 7820, 9109, 8573, 6660, 6858, 2086, 8165, 5678, 5648, 2112, 6070, 5175, 3927, 2365, 2721, 6332, 9399, 6367, 5423, 7935, 778, 9279, 1429, 8405, 6297, 8023, 4509, 5377, 5667, 3720, 4650, 7768, 7971, 7548, 9402, 9466, 5477, 211, 7385, 7566, 5948, 8048, 3732, 3766, 5458, 6957, 7146, 9750, 3045, 5855, 6007, 4488, 3040, 9256, 8710, 2138, 5673, 1767, 868, 5046, 7506, 1128, 3264, 1306, 4077, 871, 2414, 8056, 9746, 6016, 6774, 6284, 3419, 4412, 7087, 480, 7248, 282, 7662, 4666, 9687, 3659, 6152, 3875, 9064, 1919, 4821, 2570, 9834, 3646, 3510, 5190, 5898, 4624, 7281, 52, 1097, 6026, 5649, 1846, 2886, 4385, 3233, 1130, 7226, 7263, 1692, 5784, 3314, 2402, 725, 4280, 3670, 4709, 6054, 8737, 7612, 6796, 4890, 558, 4163, 4680, 9538, 8411, 3097, 1934, 6445, 7290, 8303, 3938, 5537, 4501, 9317, 9926, 6428, 738, 3817, 4796, 8626, 6526, 8202, 8974, 2659, 6582, 579, 5338, 4963, 5381, 5984, 7388, 5483, 1124, 1343, 9179, 595, 679, 2503, 4607, 9338, 2978, 8383, 2748, 86, 3940, 4059, 6249, 2769, 3061, 3993, 6360, 5955, 281, 6315, 7037, 5357, 6503, 5619, 5558, 4735, 5958, 7915, 2517, 8768, 3269, 3333, 3260, 5309, 1247, 9495, 7380, 8555, 7424, 8010, 3555, 2234, 629, 5565, 4619, 6726, 7002, 3734, 4430, 8772, 8129, 7219, 3941, 3482, 1776, 6242, 4531, 6110, 1293, 980, 6148, 4101, 6570, 6135, 583, 9617, 1265, 5332, 4396, 4030, 2189, 7085, 3747, 1072, 6442, 2255, 1719, 4200, 4121, 360, 386, 6418, 4489, 7702, 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9793, 828, 2308, 7778, 8813, 2118, 293, 6327, 7679, 3792, 6400, 6622, 4137, 1215, 4968, 4670, 1474, 1185, 396, 6728, 8243, 270, 5254, 673, 1996, 7024, 4672, 5809, 1470, 8108, 9299, 366, 6917, 6499, 6419, 6888, 8404, 8838, 3930, 4701, 8641, 7932, 4141, 9956, 6908, 890, 2631, 4027, 1771, 6619, 969, 6853, 6483, 4313, 3844, 7303, 7842, 333, 1750, 2702, 5014, 7310, 6373, 7445, 1289, 6845, 1728, 981, 3127, 2374, 2208, 1518, 1457, 4819, 5914, 1318, 8019, 8924, 7459, 3107, 7700, 3393, 9605, 8070, 8169, 3056, 6607, 1717, 7422, 1418, 863, 5288, 4221, 9563, 251, 6872, 448, 4223, 1601, 5552, 6864, 1373, 6620, 8289, 2873, 3822, 9362, 6542, 8798, 8516, 5066, 9541, 4612, 6144, 356, 1789, 6165, 2554, 4334, 8447, 1577, 7853, 437, 9173, 8942, 7259, 5179, 8528, 3076, 5692, 3820, 6421, 1099, 3154, 8309, 8068, 8060, 811, 6014, 7718, 6592, 6855, 5299, 519, 8192, 773, 4196, 151, 8986, 3229, 6923, 4250, 716, 6593, 7452, 1822, 6932, 2682, 3642, 6874, 1890, 5204, 7273, 3208, 1790, 3262, 2742, 4522, 3315, 3566, 5824, 4847, 6846, 6162, 6522, 5857, 7167, 3200, 263, 7919, 1596, 8259, 5103, 8332, 3570, 1835, 451, 6320, 9364, 457, 7937, 3754, 3830, 8699, 8175, 3937, 1932, 7406, 3865, 2074, 4852, 6727, 5657, 3263, 1057, 5960, 3910, 4429, 4500, 6831, 9375, 2658, 9380, 4868, 2465, 7132, 304, 1968, 3390, 6, 1909, 4732, 783, 6645, 9689, 1943, 2254, 8018, 4588, 8755, 1608, 5674, 2788, 5786, 2862, 2673, 3821, 6756, 6033, 9663, 6011, 7458, 7335, 8201, 3989, 6204, 2553, 2817, 9357, 3350, 9925, 4323, 4458, 5654, 4455, 2384, 4423, 2261, 8264, 9185, 5882, 2237, 971, 1415, 6838, 5054, 616, 522, 9558, 6142, 2370, 7411, 7594, 4398, 2085, 5186, 4075, 473, 7620, 3053, 3952, 7052, 9050, 9091, 3813, 4071, 2968, 2749, 4132, 1387, 8717, 5830, 283, 6776, 4603, 3946, 6030, 3206, 6638, 9738, 8635, 6804, 8218, 454, 666, 9476, 7317, 7313, 7685, 9186, 9169, 4620, 55, 7361, 6216, 2777, 7907, 1290, 4097, 1014, 3932, 5265, 4792, 3942, 8695, 4775, 3707, 8761, 8739, 2364, 6549, 2119, 5310, 4079, 7563, 5833, 9756, 7909, 8864, 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513, 7810, 3182, 7169, 4444, 3422, 3284, 2241, 1023, 4906, 6398, 899, 1372, 5764, 469, 1256, 2546, 3541, 1143, 8069, 5430, 1122, 6296, 3532, 7927, 7366, 788, 6130, 9784, 46, 7221, 2498, 7477, 1280, 6916, 3192, 8566, 767, 4721, 2810, 8536, 2391, 222, 4441, 2937, 8446, 5317, 476, 5201, 7350, 466, 6270, 5816, 9, 8465, 8577, 5584, 8193, 8846, 5545, 1243, 3483, 7809, 8079, 7805, 5366, 1754, 1259, 1379, 5405, 3322, 9184, 9716, 4139, 1022, 445, 6896, 2120, 2966, 839, 5934, 8428, 4411, 3437, 9435, 1090, 6429, 2166, 705, 7658, 8679, 8984, 8817, 3904, 8214, 8137, 1850, 8655, 2167, 5767, 1181, 4683, 3253, 1831, 5203, 4594, 587, 2564, 7250, 6604, 4977, 1141, 8769, 1151, 6224, 4312, 8822, 511, 5949, 2882, 2993, 7568, 5662, 4723, 4010, 8920, 3786, 4778, 6715, 375, 3585, 7929, 6777, 6259, 5004, 7316, 4560, 8489, 2283, 5933, 5733, 7079, 326, 8146, 1667, 7825, 8928, 9499, 6851, 4752, 781, 2782, 2605, 5959, 3509, 5256, 3565, 1274, 1555, 4222, 3204, 2335, 6988, 1865, 4924, 2849, 4210, 649, 1748, 6121, 9927, 3079, 2288, 772, 6824, 5399, 962, 1565, 2174, 1618, 2558, 6623, 612, 9097, 5780, 7065, 2755, 5412, 1723, 3398, 6273, 2294, 2014, 2211, 2878, 9116, 3044, 7414, 1726, 1344, 5298, 1368, 4201, 7099, 5826, 8498, 4337, 2037, 5110, 5481, 3361, 3925, 9076, 2694, 1351, 1284, 658, 3725, 7564, 1947, 6141, 5679, 9909, 4360, 6574, 3009, 3545, 9296, 8623, 6357, 8186, 855, 6255, 1973, 619, 6258, 2201, 1489, 213, 5772, 4036, 2969, 6066, 4633, 6239, 1436, 4286, 9263, 7969, 4913, 1643, 1523, 6116, 2411, 6529, 6708, 4705, 5581, 5520, 2476, 4595, 6064, 4119, 3027, 5207, 2561, 1479, 6145, 8122, 8325, 999, 9199, 1661, 819, 7906, 4857, 8434, 3344, 3863, 2339, 5245, 1323, 6056, 571, 6524, 787, 2622, 8954, 501, 841, 2725, 8621, 4673, 37, 4291, 2741, 8486, 3280, 2516, 8843, 2872, 2597, 7557, 4988, 8475, 6157, 908, 7363, 2141, 4585, 7321, 1078, 245, 9894, 9314, 3896, 4180, 3095, 4938, 1983, 7846, 404, 5822, 3728, 4714, 652, 3012, 8474, 9024, 1953, 7628, 7334, 3951, 9027, 1069, 7070, 982, 4809, 8059, 246, 5533, 2532, 8644, 4625, 2504, 6006, 1734, 7182, 2822, 5122, 91, 3569, 5671, 3593, 4609, 5224, 5747, 5324, 2177, 8160, 493, 5634, 4449, 7125, 1244, 4068, 9397, 3518, 2440, 9961, 60, 955, 8342, 4143, 1814, 9080, 4463, 2033, 7900, 2989, 1464, 8076, 7524, 956, 9501, 306, 2367, 7719, 7591, 3736, 6832, 6889, 7626, 9047, 3505, 2198, 3915, 6717, 4996, 261, 6098, 7149, 920, 6956, 6828, 7638, 1991, 4911, 6175, 5436, 158, 8725, 3840, 988, 1112, 8624, 7247, 9598, 1866, 1017, 331, 7635, 9492, 8391, 1644, 1862, 8345, 6578, 2909, 4138, 2654, 6892, 4860, 1334, 6197, 3227, 6374, 1664, 5977, 2165, 5531, 4600, 6132, 6370, 4586, 5873, 2137, 8178, 2764, 8172, 8492, 3000, 5856, 223, 452, 8879, 3474, 6563, 6554, 7615, 5554, 3427, 6396, 2759, 1540, 479, 384, 3143, 4037, 7654, 5633, 755, 7004, 6426, 6032, 4529, 1312, 2984, 4876, 335, 265, 2195, 909, 1303, 4361, 8419, 1683, 8421, 733, 4695, 3199, 2775, 9251, 1168, 1233, 8441, 4088, 6008, 5451, 9789, 3210, 6375, 9903, 4816, 4326, 8782, 1426, 8990, 3965, 6229, 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2002, 5373, 1443, 8694, 9345, 4462, 3089, 9717, 5911, 770, 9661, 3523, 4288, 2790, 8681, 9783, 4369, 5087, 7965, 9895, 4749, 7659, 2874, 5548, 5008, 7235, 7322, 2627, 6111, 5352, 816, 82, 3259, 5973, 8384, 6506, 1721, 2720, 7238, 237, 8241, 3891, 7144, 8161, 6584, 7230, 81, 2613, 8806, 3543, 2429, 7516, 6364, 7197, 8521, 1599, 1199, 9306, 7893, 8305, 3947, 5424, 72, 221, 9171, 7856, 7530, 5427, 9794, 8742, 3962, 9673, 3669, 1545, 1186, 7890, 1639, 5240, 9194, 8672, 8700, 254, 2795, 7862, 1150, 1614, 491, 7513, 6456, 418, 2798, 9786, 5655, 3123, 3535, 4391, 1660, 6610, 4958, 7500, 4277, 5389, 2665, 1708, 6716, 5746, 5588, 8847, 3343, 4481, 966, 8777, 8967, 1442, 6432, 1677, 4978, 85, 4300, 7304, 3976, 3911, 3394, 794, 8359, 2560, 7826, 8952, 4486, 3122, 8648, 1584, 9955, 1548, 1091, 5085, 4802, 968, 1558, 7918, 9386, 866, 5828, 2715, 8689, 9218, 6883, 3381, 7883, 747, 65, 7643, 7134, 8576, 5970, 8365, 5625, 7176, 7572, 6300, 3849, 4530, 7341, 2839, 1430, 7284, 5092, 7760, 1674, 2918, 176, 6732, 600, 1998, 6268, 5974, 2756, 7704, 4811, 1477, 6451, 2471, 7408, 3477, 693, 8227, 1326, 3445, 750, 8015, 71, 1982, 8852, 8248, 4687, 6035, 5820, 6641, 2216, 5212, 1352, 3251, 7447, 8618, 3777, 8273, 6935, 110, 2506, 4478, 6753, 6779, 3985, 7301, 6498, 9113, 7666, 6238, 4425, 8705, 7617, 8874, 4502, 1448, 831, 8171, 9191, 2238, 9189, 4786, 4021, 9042, 8839, 1052, 5160, 342, 5714, 576, 6931, 3987, 8733, 9074, 7911, 2695, 9210, 5426, 9379, 4613, 5272, 7460, 569, 4909, 7880, 6024, 3324, 1854, 3578, 4602, 9221, 9792, 2808, 336, 3592, 8940, 102, 4873, 9018, 1298, 1237, 9127, 5304, 7269, 373, 536, 7092, 3064, 2282, 8820, 586, 7139, 1927, 6642, 6433, 6210, 3691, 3685, 1604, 4324, 9275, 402, 751, 9307, 2389, 3221, 8659, 6453, 5312, 1515, 1745, 8034, 1573, 905, 9612, 630, 7908, 2765, 5034, 2956, 7665, 1587, 4357, 1063, 7939, 8916, 6789, 9742, 5759, 2675, 7193, 2108, 6861, 1253, 8494, 9640, 7032, 1189, 7223, 10, 9978, 5262, 5742, 9938, 184, 5263, 4006, 9172, 137, 2860, 8045, 9975, 1907, 3607, 736, 7151, 8539, 945, 7849, 6463, 3737, 7446, 7069, 5010, 4256, 6044, 8910, 5925, 5094, 2445, 109, 4366, 394, 5193, 8339, 1704, 7018, 3292, 6891, 1622, 1234, 5515, 9226, 5741, 4236, 2280, 9367, 7443, 7198, 6155, 5708, 9032, 2432, 7389, 754, 5134, 1979, 434, 6630, 4093, 2066, 9311, 1003, 51, 8721, 6159, 960, 4656, 6511, 6724, 6029, 7888, 721, 9754, 4999, 8853, 33, 680, 8086, 5688, 9577, 180, 9085, 8832, 3281, 4875, 3476, 9785, 5991, 6621, 7707, 5050, 8344, 8720, 3856, 6454, 6628, 7902, 4780, 5661, 6120, 9012, 7759, 9030, 3191, 5527, 6775, 135, 1254, 3819, 192, 2375, 4679, 3220, 3603, 4499, 8860, 4352, 9002, 1586, 7449, 9818, 3731, 8877, 9485, 9767, 608, 4187, 5523, 8912, 4162, 1663, 6834, 7523, 5841, 8911, 8013, 6247, 400, 2382, 2563, 3602, 6925, 7258, 3410, 3109, 8206, 6275, 3318, 3544, 713, 8423, 2850, 4984, 7954, 68, 622, 3239, 422, 2902, 7798, 670, 1970, 3788, 9947, 62, 4123, 9693, 9769, 3468, 7367, 8996, 108, 6455, 5181, 2345, 6170, 1782, 515, 4128, 189, 6965, 3584, 1000, 8630, 9731, 4728, 7057, 4475, 6960, 2859, 1207, 9514, 6250, 6192, 6886, 9028, 6596, 8012, 7175, 5461, 3623, 9197, 8362, 7232, 2885, 953, 6081, 2453, 2630, 1184, 5620, 930, 818, 5827, 7708, 8256, 2071, 7159, 5501, 428, 9855, 455, 7737, 7657, 9486, 7040, 161, 1346, 7013, 1206, 9496, 6941, 2179, 3681, 3924, 7800, 9937, 201, 4700, 2592, 8278, 6873, 8077, 8758, 4213, 2600, 3862, 4630, 1770, 7599, 6059, 800, 7538, 8026, 4845, 8087, 8145, 6298, 7698, 5715, 7308, 8047, 4865, 3250, 7529, 8476, 6977, 4246, 5616, 4918, 354, 4043, 7277, 1148, 7754, 5235, 7539, 875, 413, 2557, 8785, 8842, 4692, 7829, 8707, 2275, 8085, 7565, 9003, 9303, 8568, 7509, 4525, 9096, 465, 80, 9163, 9037, 6948, 3824, 987, 1081, 3244, 5267, 6599, 6996, 6848, 9268, 1383, 8975, 2169, 8760, 5, 4284, 2, 177, 7895, 613, 1405, 7776, 3835, 660, 9862, 7337, 4493, 7138, 6780, 6849, 1531, 8439, 9915, 8578, 1556, 3185, 1086, 63, 711, 9872, 1295, 4770, 6408, 2934, 8988, 9203, 2548, 1744, 4199, 3374, 4420, 9328, 6434, 307, 9034, 1028, 8890, 3180, 6940, 1952, 2830, 3297, 3367, 6885, 5314, 7970, 7078, 8764, 8315, 7613, 3868, 3583, 9908, 645, 7398, 140, 2884, 5460, 8505, 2352, 7352, 248, 2021, 532, 5126, 638, 468, 5622, 3362, 1504, 5362, 946, 2915, 7771, 6308, 3770, 203, 4828, 5148, 9677, 1139, 2354, 2193, 5596, 5387, 346, 1202, 1423, 2701, 1002, 675, 3140, 7278, 4135, 1597, 9532, 8401, 2372, 87, 8338, 1715, 3452, 1533, 5792, 2555, 8299, 3796, 1220, 9329, 4561, 6410, 9167, 9016, 2571, 4564, 2134, 8410, 9065, 8349, 3001, 2319, 2657, 7960, 8579, 8840, 3726, 3059, 6190, 4019, 8237, 3176, 4556, 9566, 5831, 6741, 8995, 8025, 1480, 3673, 3028, 7999, 7328, 8788, 2556, 6573, 4202, 2836, 5071, 8090, 546, 1673, 6979, 3838, 9160, 1791, 3710, 8135, 4744, 986, 6062, 4526, 7053, 8082, 3325, 4496, 23, 4777, 539, 2430, 8472, 5000, 7488, 4866, 1016, 2961, 2408, 1896, 8546, 5421, 1668, 7043, 4142, 6721, 8938, 8574, 765, 1098, 3026, 3320, 1230, 9101, 7559, 7123, 3062, 5936, 3755, 8793, 4974, 8783, 2425, 7619, 5961, 3050, 1649, 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8925, 5516, 7680, 6778, 1672, 9779, 4049, 1288, 9861, 4642, 7236, 8150, 2754, 7778, 9937, 5345, 75, 7177, 4832, 8675, 2533, 561, 2287, 2610, 9714, 6157, 1567, 7976, 155, 3212, 7732, 8192, 6823, 5111, 1840, 4240, 2679, 7019, 3925, 5944, 2674, 9560, 417, 5218, 8156, 8761, 1274, 7734, 6287, 7285, 4446, 5452, 8347, 570, 3361, 9640, 8476, 6736, 171, 4615, 1113, 3199, 1933, 5838, 102, 4801, 4656, 5832, 3977, 7070, 6052, 6201, 8662, 5357, 2798, 2505, 3176, 5764, 6431, 9067, 9107, 5962, 8573, 7138, 4481, 2419, 4117, 5481, 2624, 3369, 4403, 4143, 9317, 1066, 3803, 142, 6057, 5664, 7447, 2896, 914, 3931, 3167, 110, 373, 4839, 4029, 7275, 2547, 8953, 122, 7647, 5441, 3120, 948, 8301, 7784, 1278, 6183, 103, 829, 7802, 1745, 7439, 2926, 609, 1242, 420, 1818, 8449, 6496, 1607, 6127, 2139, 9117, 9396, 6549, 158, 775, 442, 3847, 5765, 5142, 7461, 9113, 3984, 1513, 9489, 3632, 3702, 9365, 5632, 7770, 8208, 3549, 3245, 5904, 3899, 4189, 5996, 3428, 8291, 5148, 3765, 3277, 907, 7496, 1888, 8921, 2316, 6302, 3835, 965, 2236, 7718, 959, 803, 1975, 5193, 3593, 5237, 9303, 2397, 30, 1344, 5233, 1200, 1529, 6951, 8005, 7668, 4592, 7410, 798, 6950, 1374, 5963, 6984, 4707, 9026, 4732, 5056, 564, 1057, 9500, 9085, 8941, 1124, 3346, 8883, 6326, 967, 2607, 1598, 3495, 7812, 5869, 6775, 7508, 8271, 1654, 2757, 7385, 8581, 8099, 1994, 3825, 108, 275, 2961, 1741, 2290, 6321, 6643, 8535, 5375, 7371, 1331, 6988, 6769, 7636, 6857, 1504, 6479, 8417, 5207, 3721, 7501, 8092, 2660, 6372, 7915, 6798, 183, 2260, 4041, 9135, 4983, 9059, 8270, 904, 5438, 8785, 2307, 524, 3891, 5200, 8768, 4948, 7987, 9043, 6565, 6315, 3634, 6940, 7029, 1925, 9017, 1428, 4162, 1780, 4979, 6058, 8940, 1898, 4365, 2855, 6476, 2407, 9192, 7845, 4003, 2149, 1386, 1105, 8168, 4445, 4826, 9216, 4110, 4699, 4112, 4659, 3821, 6519, 5327, 3777, 9249, 2966, 1183, 8258, 3354, 2151, 6226, 8277, 3375, 9860, 5525, 3682, 8212, 8024, 6696, 4321, 2801, 8215, 1159, 1631, 7239, 3919, 4398, 5631, 1050, 2026, 8411, 3365, 4358, 6601, 7902, 8936, 5615, 7558, 7324, 8122, 1234, 3119, 3378, 920, 1680, 7055, 3055, 4207, 4109, 1352, 7243, 4641, 4863, 8421, 1829, 4429, 7483, 8811, 5961, 3095, 4512, 4012, 2784, 8618, 4191, 1553, 5646, 3027, 4806, 3743, 9273, 1771, 9095, 1878, 1363, 6863, 7421, 7174, 1990, 7327, 9283, 2398, 1659, 2951, 3157, 4706, 1626, 841, 4266, 472, 7103, 6784, 6395, 6625, 3586, 6335, 6623, 8008, 336, 117, 3226, 4929, 5034, 5380, 6721, 384, 7231, 6947, 8022, 7805, 1604, 2682, 8389, 5009, 4072, 9045, 3947, 7466, 9, 9739, 550, 1963, 878, 5174, 73, 7286, 4861, 1106, 1014, 4175, 4001, 5428, 1327, 2478, 1885, 9346, 5282, 6652, 1193, 8947, 3342, 6765, 5352, 6677, 288, 3423, 8576, 5771, 8843, 6651, 6637, 576, 4212, 6419, 357, 767, 3106, 5914, 3310, 5052, 5580, 9403, 6559, 8268, 3163, 2054, 1368, 5297, 4548, 8007, 3492, 1388, 4100, 6682, 1398, 1697, 3273, 2085, 4614, 489, 868, 6050, 9558, 4730, 5047, 3705, 7199, 853, 2918, 9842, 38, 3137, 5229, 7933, 8321, 8849, 5552, 5855, 5166, 6125, 1992, 9225, 364, 6101, 6753, 4082, 1811, 7829, 2096, 6040, 7485, 6143, 143, 8183, 5781, 581, 4066, 2343, 1028, 2227, 1087, 323, 4859, 9806, 773, 6657, 2544, 2230, 4213, 900, 5242, 396, 9596, 2876, 4899, 3607, 6927, 9306, 4887, 5355, 6614, 9005, 2638, 821, 3695, 5004, 3236, 7522, 1877, 9442, 8413, 1151, 3859, 9189, 6773, 7030, 7001, 8349, 4556, 8844, 2796, 6109, 6450, 6439, 1571, 6216, 9039, 2581, 5133, 3734, 6692, 2954, 126, 2690, 742, 6266, 2727, 1873, 5658, 5596, 1447, 3275, 9731, 289, 1054, 1195, 2099, 3288, 5163, 37, 3089, 8193, 1822, 4254, 6205, 4574, 4772, 7974, 4799, 8817, 2241, 2778, 6468, 753, 6361, 5801, 325, 7202, 1492, 9624, 217, 4197, 588, 7772, 2404, 6017, 67, 2656, 7207, 7678, 6494, 7708, 3203, 882, 7493, 885, 8237, 2268, 8796, 2593, 1289, 700, 8617, 6932, 2362, 2302, 8772, 6674, 5537, 299, 5410, 254, 3873, 2872, 7872, 4421, 7110, 9400, 631, 2861, 5942, 7834, 7804, 5852, 7846, 3314, 5945, 6912, 8942, 2020, 5638, 2915, 2182, 7472, 2225, 996, 854, 4461, 7037, 4748, 8711, 7323, 1518, 2710, 8981, 5873, 3280, 5015, 8529, 9015, 6220, 6445, 5130, 5043, 1601, 828, 7942, 817, 5079, 2373, 2559, 5824, 9218, 6846, 9183, 730, 6812, 8149, 646, 9557, 1989, 8860, 7315, 7469, 5997, 8602, 3364, 5220, 3022, 8017, 3051, 4464, 4715, 3751, 512, 6535, 7267, 9412, 3819, 898, 8509, 6081, 3958, 5475, 8567, 1058, 6151, 1227, 4165, 4901, 5214, 4068, 2412, 3033, 6945, 8486, 6578, 5815, 2794, 9625, 2914, 5277, 6697, 4943, 6621, 2588, 5788, 2561, 221, 7473, 3133, 1096, 2346, 2491, 8137, 559, 4479, 7642, 2318, 5054, 6698, 1588, 989, 7168, 905, 1833, 9917, 6548, 5021, 6642, 29, 1371, 6249, 1920, 9451, 7311, 733, 7957, 5546, 7184, 6834, 6668, 5751, 8037, 6115, 714, 7048, 3746, 8537, 4010, 4713, 7337, 6139, 776, 2965, 7697, 5249, 7367, 693, 6794, 2055, 7240, 832, 6993, 5607, 5721, 477, 7923, 4888, 5611, 43, 2311, 940, 2359, 7056, 5430, 9203, 2978, 6427, 6756, 8933, 6087, 6942, 6580, 1623, 9504, 8275, 8855, 5645, 2963, 2658, 975, 382, 8577, 6946, 5828, 1138, 8829, 4873, 17, 1548, 5716, 3864, 8686, 4708, 1710, 9141, 6634, 5314, 9666, 6268, 1870, 7563, 8202, 8348, 3457, 7081, 7411, 3874, 412, 8095, 685, 4737, 1813, 6691, 2154, 8506, 4288, 3922, 4253, 7760, 1519, 1627, 8874, 9655, 6409, 3155, 4805, 7715, 1832, 4646, 1417, 7816, 4300, 6709, 2611, 5087, 2215, 5256, 4381, 7333, 5006, 8455, 341, 2186, 3096, 2983, 7274, 647, 8429, 7196, 4670, 5453, 8171, 479, 4047, 6543, 1769, 7437, 64, 1474, 1890, 1982, 6855, 8026, 4576, 6286, 3009, 7440, 9755, 8957, 7210, 8440, 1784, 5637, 8098, 7348, 2986, 8918, 2494, 136, 9126, 3043, 3929, 3655, 7058, 6003, 6836, 2119, 6056, 7352, 9870, 6080, 7908, 2060, 2463, 7272, 374, 2601, 2269, 2509, 3584, 8882, 4877, 5472, 2162, 1594, 1664, 584, 7839, 6925, 9794, 8838, 8580, 5319, 5749, 3733, 6124, 9771, 2731, 6016, 4071, 5184, 5723, 8443, 6027, 6348, 9080, 2882, 5177, 8018, 5655, 929, 6153, 8164, 6168, 5295, 3668, 7098, 2804, 212, 5968, 1724, 6320, 8365, 3235, 6379, 8267, 4900, 2355, 6999, 4712, 9911, 8445, 762, 1924, 6464, 9941, 3426, 8871, 6000, 9835, 9291, 3485, 8459, 7499, 2586, 9877, 6347, 8853, 4562, 3667, 1418, 8311, 9550, 2641, 8401, 7635, 5146, 7414, 5870, 9650, 6271, 7661, 5761, 954, 5378, 9153, 6567, 1825, 8710, 6368, 5068, 634, 1207, 5486, 58, 683, 9053, 6600, 8630, 8523, 1538, 8863, 9873, 9094, 712, 9399, 5070, 1850, 3727, 6060, 1262, 3722, 1452, 2791, 5467, 8798, 8636, 5273, 4626, 278, 6240, 4344, 5358, 6539, 3131, 6619, 8735, 6504, 5364, 2197, 7094, 4621, 5674, 7537, 7299, 2689, 9732, 5929, 3046, 8488, 8672, 3062, 6918, 1204, 1531, 131, 2520, 4955, 408, 1023, 5924, 1475, 9815, 3456, 4959, 55, 4033, 9750, 5258, 8241, 5925, 5975, 2009, 5196, 3424, 8701, 1642, 2937, 816, 3817, 9866, 2092, 3675, 2367, 4373, 2677, 3, 228, 1584, 5406, 846, 1927, 725, 309, 3087, 3187, 9915, 2282, 3704, 6169, 5532, 6433, 5026, 1960, 5465, 4202, 8507, 8077, 4408, 8030, 7705, 1152, 7686, 6131, 7723, 9816, 186, 6832, 833, 1145, 7116, 8229, 68, 6742, 6725, 2976, 5505, 3602, 4289, 2616, 5361, 2508, 6972, 6148, 2334, 3284, 9175, 5203, 2897, 1191, 11, 6160, 4394, 2028, 2700, 5686, 4885, 8047, 713, 620, 3015, 9766, 5476, 4890, 3143, 1765, 5562, 7967, 9888, 8108, 2899, 1616, 8138, 6514, 9438, 5836, 852, 8069, 3162, 4691, 3628, 2651, 7331, 5431, 5160, 9348, 1826, 7665, 7879, 8148, 4769, 5095, 8233, 3298, 6234, 7354, 5180, 7434, 4743, 63, 5234, 398, 6597, 1609, 1762, 1862, 2597, 1209, 9569, 5651, 4482, 3994, 5248, 675, 1971, 3940, 9614, 7251, 4762, 1015, 557, 5060, 4698, 7520, 7586, 2885, 6446, 4059, 273, 5879, 167, 5853, 263, 1582, 2693, 1046, 5802, 4976, 3121, 2605, 3100, 7982, 1056, 7383, 8746, 8431, 5065, 1902, 971, 6233, 4402, 2655, 5155, 8729, 7677, 1488, 7088, 1247, 7445, 7593, 8504, 9674, 2110, 1716, 8970, 7710, 356, 1997, 7448, 1796, 8139, 3468, 5247, 4194, 1120, 90, 7510, 2070, 1316, 307, 2850, 1943, 5388, 799, 1719, 2243, 4810, 2275, 1112, 146, 2645, 7303, 972, 6386, 2722, 6562, 8681, 9946, 6825, 6436, 5379, 8484, 2828, 6656, 7470, 3233, 751, 7140, 6207, 6186, 7020, 9634, 109, 8242, 3522, 1246, 2376, 8006, 7752, 4246, 54, 8091, 258, 7984, 3336, 8086, 56, 1500, 4206, 5746, 2513, 3974, 7787, 881, 4939, 4533, 7904, 6414, 4819, 5040, 5290, 9883, 9069, 8364, 3855, 6833, 486, 1257, 3282, 2805, 1117, 4409, 6472, 2648, 8671, 5435, 3648, 5190, 6959, 327, 9976, 5660, 3169, 3079, 859, 863, 709, 8588, 1186, 1727, 7866, 8060, 4105, 5287, 5540, 3115, 5901, 1380, 8738, 3478, 1864, 7849, 1591, 8178, 5493, 9979, 4604, 9733, 206, 3123, 1476, 525, 7144, 5385, 2927, 5300, 8892, 3312, 8299, 4031, 7781, 6599, 1302, 2510, 8864, 1440, 4396, 3083, 2112, 2458, 5260, 1505, 6533, 3988, 15, 359, 6481, 9199, 1799, 8083, 2714, 7342, 1579, 8288, 290, 4419, 1756, 552, 5898, 9243, 1174, 3867, 3205, 4091, 239, 1834, 3101, 2946, 3719, 995, 6776, 770, 6700, 6349, 44, 6861, 1450, 7719, 8079, 1676, 3567, 3319, 6879, 111, 7815, 5449, 4658, 5235, 8952, 824, 5958, 3596, 960, 3846, 6435, 8371, 8074, 4422, 7096, 5960, 1968, 3207, 5627, 313, 2123, 8760, 2873, 7811, 5347, 4514, 3787, 1552, 6118, 1216, 6317, 4452, 169, 6067, 5736, 1244, 2217, 7085, 5763, 5483, 7136, 9116, 3948, 9387, 1942, 467, 9476, 4532, 7281, 4509, 5372, 3902, 2175, 4785, 2347, 3513, 304, 7736, 1443, 1414, 5999, 7755, 25, 3183, 5156, 1723, 1501, 5947, 6231, 8057, 6805, 9212, 6422, 9288, 2929, 6164, 5895, 6293, 7650, 6707, 8454, 8010, 8465, 3172, 830, 9447, 7959, 7824, 732, 2328, 2813, 2003, 1266, 3396, 6715, 7823, 5389, 1437, 1671, 4635, 2912, 649, 2985, 7232, 1572, 4573, 8569, 10, 1868, 8592, 3058, 4393, 35, 4589, 7442, 7885, 8067, 1522, 2895, 8042, 613, 8085, 3870, 5606, 2439, 858, 298, 7261, 4565, 7147, 4905, 3271, 4416, 4009, 7141, 8907, 7099, 3684, 5106, 840, 6429, 6208, 1323, 8724, 3381, 4076, 9800, 5642, 2874, 1267, 4176, 9440, 3153, 7630, 9105, 3421, 1686, 3102, 7146, 877, 4048, 1109, 2184, 91, 780, 7500, 6608, 1192, 6980, 3877, 2654, 6523, 5810, 8179, 4513, 4555, 2166, 6158, 5673, 3613, 1959, 1795, 8808, 3440, 1119, 7379, 1700, 5313, 8050, 1307, 164, 2633, 151, 8123, 3766, 7740, 5354, 4525, 5466, 6729, 7463, 9709, 632, 1072, 5202, 18, 7194, 8880, 6073, 8835, 2486, 2904, 1304, 6004, 7807, 8776, 7308, 8989, 2136, 2995, 9133, 1067, 2894, 5374, 4490, 2399, 6197, 7233, 672, 1908, 4215, 862, 1143, 2955, 2444, 2341, 679, 7059, 350, 7950, 2188, 3142, 2306, 8934, 4252, 2691, 5697, 2853, 1763, 459, 4587, 338, 7969, 4519, 3332, 6325, 7040, 7626, 1496, 8216, 1688, 5903, 8031, 5333, 6493, 5394, 191, 1361, 7511, 1338, 1887, 2156, 4638, 434, 315, 1221, 6071, 1011, 7995, 1892, 9293, 843, 2041, 7836, 5491, 2308, 2585, 1520, 5365, 310, 8438, 1537, 595, 5900, 9968, 1053, 2923, 4549, 4168, 7515, 2185, 536, 2296, 7943, 1923, 6994, 465, 8670, 1694, 4917, 8376, 7918, 6174, 9789, 3714, 5504, 2522, 7071, 5662, 3641, 5930, 1045, 4582, 8919, 1843, 5225, 6887, 4251, 4492, 6413, 2748, 4455, 6955, 6093, 7578, 4087, 305, 4736, 6447, 2153, 8742, 3108, 4304, 8313, 4697, 9661, 7253, 2064, 6288, 8189, 8851, 7155, 6273, 506, 5084, 511, 8795, 7932, 6032, 522, 4648, 8236, 2035, 3004, 5709, 7197, 4208, 864, 5617, 2667, 1964, 4434, 1314, 2340, 6710, 9097, 5069, 1875, 3373, 566, 8130, 5463, 9590, 671, 458, 1394, 3109, 6122, 8461, 2500, 8642, 1757, 5682, 4297, 1973, 2254, 7051, 6365, 8763, 2238, 5109, 5705, 719, 9406, 116, 3574, 8011, 51, 5748, 568, 4663, 3003, 7475, 6029, 9826, 1954, 4896, 7603, 4623, 6695, 2208, 1033, 8559, 4716, 7225, 5161, 3841, 2806, 2155, 6516, 5412, 4531, 6178, 5974, 4936, 475, 8524, 8460, 7355, 1580, 6034, 3930, 726, 7800, 6911, 5116, 9693, 2765, 3247, 9371, 931, 7203, 2468, 1083, 7481, 4454, 4807, 1576, 5957, 1483, 6189, 1499, 7035, 5289, 1224, 3054, 8471, 5670, 8231, 3805, 1381, 2916, 6635, 9071, 2148, 1651, 6284, 8166, 4746, 9474, 8905, 4975, 8684, 8115, 6977, 6126, 3658, 698, 3753, 5753, 9479, 5791, 6457, 5916, 1325, 1003, 8927, 9009, 207, 328, 8589, 5228, 7129, 937, 8713, 8508, 7008, 5399, 6858, 367, 5189, 7478, 6971, 6336, 8157, 1473, 4692, 8153, 7798, 1695, 5669, 2931, 955, 1034, 129, 2413, 2043, 7956, 1131, 3490, 1259, 1999, 8177, 3941, 4507, 805, 1140, 8972, 8174, 4651, 4687, 7972, 4486, 6944, 4676, 1560, 2392, 5831, 4450, 6795, 6638, 4815, 7002, 378, 8111, 6909, 9982, 5275, 5783, 6418, 5574, 1303, 5668, 2228, 1430, 1669, 185, 2902, 4211, 2342, 572, 8029, 8810, 6890, 4330, 5910, 4864, 8736, 31, 4882, 5097, 8897, 1972, 3696, 9390, 543, 3514, 6644, 7254, 2277, 7936, 2950, 7247, 6107, 9449, 860, 9443, 2768, 9210, 3315, 5657, 5145, 953, 9057, 368, 2622, 6877, 9432, 4992, 5325, 7504, 5211, 622, 1895, 5114, 994, 2467, 8336, 2122, 6531, 5383, 8359, 3741, 8294, 6430, 1163, 3687, 5135, 2484, 5840, 4424, 2781, 5928, 9971, 2046, 7952, 3037, 6569, 8528, 9121, 1906, 4522, 2613, 7213, 2244, 6867, 7587, 2880, 6669, 9686, 1722, 6036, 4594, 8152, 7684, 2045, 7762, 8999, 2643, 9397, 205, 501, 7164, 8316, 1031, 2453, 1243, 316, 1802, 329, 2259, 9408, 2059, 6176, 7682, 1441, 9893, 2818, 5628, 4709, 5803, 5696, 7288, 5058, 2415, 4367, 3408, 1245, 9086, 838, 3605, 3451, 5634, 8407, 9402, 7283, 5119, 6385, 7011, 5605, 7425, 4377, 2130, 3393, 8151, 7132, 5576, 1260, 1776, 8723, 4535, 2265, 6129, 3493, 5335, 5597, 4046, 5647, 255, 2386, 2851, 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7212, 2775, 7985, 801, 5487, 4374, 8555, 3222, 6893, 9237, 4792, 6426, 4229, 141, 5371, 1632, 5262, 6607, 4430, 3516, 3151, 5168, 3328, 6960, 6570, 1160, 3808, 9949, 3689, 3688, 9495, 813, 4606, 2104, 5349, 3649, 1712, 8546, 6485, 5422, 3950, 3599, 565, 3173, 2118, 6344, 9836, 555, 2546, 788, 2429, 3693, 2292, 8665, 4334, 1777, 1852, 2989, 653, 3144, 6507, 5592, 2387, 2785, 2921, 1569, 3444, 8398, 4540, 7249, 2295, 8033, 5204, 7890, 1399, 8899, 6500, 8227, 7670, 7524, 6557, 7465, 3626, 5717, 6806, 107, 248, 2069, 8472, 3398, 6204, 869, 850, 59, 3094, 7696, 1153, 4480, 4721, 6875, 8689, 3780, 6866, 1794, 4274, 5495, 589, 6082, 2713, 4487, 3871, 8147, 16, 3135, 8478, 6983, 3130, 6383, 6373, 5966, 130, 4035, 8066, 3145, 4849, 3783, 2004, 4318, 6277, 7977, 9163, 9514, 5991, 4128, 8346, 8112, 5921, 623, 7951, 899, 8750, 1487, 1880, 8221, 3165, 9530, 5595, 8824, 9511, 3012, 326, 1551, 5756, 6547, 4426, 5373, 1527, 4181, 7935, 3300, 2632, 281, 9497, 4020, 9213, 1322, 2194, 5112, 9824, 9259, 3460, 5812, 3653, 5560, 8262, 6655, 104, 46, 5538, 2763, 5906, 3800, 4052, 1298, 731, 1534, 9258, 5317, 4829, 3709, 2930, 2695, 6617, 9493, 1486, 6817, 655, 6411, 3767, 8800, 717, 1869, 707, 8951, 6184, 979, 2676, 3690, 7423, 5964, 1320, 1175, 1020, 7228, 71, 8367, 2171, 3318, 7989, 5984, 1168, 5806, 1559, 4406, 2637, 3258, 432, 6544, 1980, 1449, 2564, 481, 9886, 7938, 402, 3676, 9808, 5797, 6521, 8690, 7111, 2767, 5720, 3750, 1406, 5583, 3566, 3527, 5755, 7796, 2011, 2253, 1542, 5239, 3556, 3007, 5790, 8917, 9803, 4397, 9049, 8637, 9516, 6192, 4904, 8827, 5809, 3136, 5447, 3996, 1988, 3186, 7555, 3405, 3114, 4158, 3462, 947, 5805, 701, 7032, 3679, 988, 6474, 6038, 1573, 6819, 226, 3040, 737, 6049, 4291, 5216, 6772, 8228, 896, 5028, 5779, 6308, 1721, 9025, 1196, 340, 7596, 3955, 2647, 4994, 415, 6328, 1966, 5008, 4273, 3267, 3913, 748, 7061, 1690, 6021, 1026, 5170, 1995, 2711, 6862, 8479, 6171, 4173, 6787, 3911, 5198, 2642, 6579, 7707, 1605, 196, 7241, 8305, 5768, 884, 5694, 497, 509, 8812, 7334, 3801, 5169, 9746, 249, 330, 5699, 452, 9316, 6387, 4679, 1766, 4061, 8704, 1838, 2388, 9708, 2013, 3483, 3548, 1846, 3262, 4795, 492, 1952, 6469, 4820, 2195, 6720, 4834, 6013, 440, 1092, 779, 8120, 2567, 956, 5949, 4338, 5971, 2137, 1613, 4125, 8458, 8109, 4518, 7971, 791, 3068, 7899, 4581, 4467, 9114, 1387, 6121, 4757, 1656, 8496, 1137, 3860, 5744, 9818, 2152, 9761, 4247, 949, 1577, 3836, 7855, 6853, 8056, 3961, 1009, 3827, 7801, 3307, 3826, 4279, 1596, 6236, 676, 6241, 2442, 7730, 1126, 2414, 7317, 2515, 372, 8110, 9531, 9160, 4510, 6408, 1526, 9925, 4804, 8803, 1665, 456, 4045, 4683, 9156, 3432, 880, 774, 7316, 7297, 5201, 9496, 1074, 7931, 4235, 6914, 9611, 8749, 3964, 1977, 1354, 6591, 7763, 2120, 9270, 8052, 1069, 6672, 5514, 2159, 106, 2745, 6732, 1442, 7017, 663, 1725, 7154, 8369, 9302, 7384, 1863, 5526, 7728, 8246, 6187, 812, 7476, 6641, 2037, 1177, 2115, 2900, 2973, 2176, 3196, 903, 5377, 9628, 13, 1904, 9287, 2314, 3883, 2379, 124, 1597, 3953, 3534, 7608, 4336, 7158, 1540, 2663, 2670, 7795, 8209, 6146, 4268, 7820, 4765, 4230, 8466, 6801, 6477, 9068, 132, 8354, 4725, 4908, 8652, 3250, 9386, 2044, 5127, 872, 2038, 3769, 4788, 9106, 1201, 4026, 7130, 4749, 7028, 3954, 1002, 4645, 8276, 8133, 3506, 1824, 7482, 7527, 3387, 198, 5980, 819, 1993, 2464, 9073, 7945, 8661, 4902, 3881, 7404, 9144, 342, 3078, 4735, 5707, 2196, 8160, 6852, 5072, 5323, 1214, 19, 494, 8420, 1962, 157, 192, 5722, 6680, 3951, 8707, 5331, 8093, 2147, 6354, 1886, 4282, 6998, 1111, 4366, 5795, 1618, 8266, 3720, 1132, 7330, 211, 659, 6145, 3413, 3656, 3890, 7074, 7598, 9030, 6009, 9536, 6382, 4989, 919, 6616, 8752, 1448, 9171, 7242, 2619, 8574, 5442, 4593, 9740, 8493, 1502, 6889, 2252, 5424, 9543, 1687, 4301, 5391, 1674, 502, 9515, 5351, 5843, 7842, 2284, 80, 9710, 6576, 3411, 5715, 579, 8378, 9048, 2066, 4700, 3371, 387, 1509, 8619, 9568, 8699, 7264, 4238, 8566, 1743, 7398, 3025, 6793, 1955, 6257, 2480, 8296, 7296, 6901, 4476, 5675, 1296, 5101, 7591, 2998, 6025, 4968, 809, 3077, 4401, 2488, 5509, 3937, 4949, 4756, 4649, 8769, 9488, 3438, 7167, 7122, 7949, 4705, 1305, 888, 1803, 3430, 582, 2065, 5621, 8181, 4086, 2822, 6463, 4133, 5414, 3482, 2628, 9919, 5689, 9215, 2072, 5455, 9827, 2839, 8146, 3463, 3718, 2650, 892, 7012, 7263, 4816, 2221, 9921, 8210, 5599, 7745, 3952, 8503, 4, 8391, 9004, 2363, 9422, 4999, 1565, 2326, 1301, 2264, 3219, 6210, 3924, 2172, 7175, 9485, 5206, 5356, 7413, 6883, 9190, 5775, 6, 6505, 8072, 8891, 1060, 3000, 7667, 6843, 9726, 2738, 7069, 8272, 5022, 1939, 2834, 8437, 348, 3443, 4860, 1984, 7489, 5659, 2694, 337, 7424, 5343, 8867, 3728, 1100, 4689, 6916, 3465, 6339, 6558, 8106, 617, 2271, 1677, 652, 2980, 3726, 8819, 8997, 4926, 8511, 3643, 436, 427, 2372, 9298, 8372, 2734, 2441, 5747, 410, 4218, 1884, 4172, 669, 6966, 3228, 2479, 83, 7547, 7083, 1622, 2300, 7521, 9565, 1350, 277, 6952, 4952, 5035, 7955, 9118, 8876, 3152, 928, 1220, 6513, 8158, 8207, 7224, 8392, 9207, 6265, 8901, 9799, 6631, 7913, 1408, 807, 3377, 8303, 9393, 5489, 8433, 5497, 2668, 1815, 3943, 1082, 7319, 3330, 3531, 3074, 5688, 2102, 4250, 7929, 9179, 661, 7079, 532, 8081, 9036, 625, 2555, 2481, 6396, 6166, 5479, 6982, 5330, 2746, 6152, 4186, 9884, 7548, 848, 2841, 2191, 9821, 165, 7809, 7783, 2207, 7148, 7276, 5515, 7737, 9533, 8870, 4585, 4160, 6767, 4347, 736, 7523, 4701, 5259, 1276, 6997, 2327, 9478, 4233, 1696, 1078, 1655, 1649, 7651, 9639, 5144, 3524, 3921, 4132, 8915, 9187, 7582, 3311, 8825, 1979, 7380, 9889, 3933, 2702, 7859, 4962, 9110, 866, 1334, 1734, 4661, 1101, 3041, 9778, 6438, 9579, 4600, 6078, 1068, 674, 4292, 5081, 3150, 2920, 5153, 3959, 496, 2941, 1464, 7403, 1181, 6285, 1357, 8065, 797, 7671, 4324, 8948, 4044, 4449, 1847, 3989, 8477, 274, 2603, 3160, 433, 8544, 7780, 8739, 765, 4870, 7150, 5326, 8382, 2361, 7878, 150, 3065, 2255, 5115, 6785, 9358, 5782, 8842, 2924, 6306, 7536, 8976, 3748, 4387, 2817, 4876, 7201, 7302, 1021, 4000, 4711, 9195, 3897, 5644, 7895, 9007, 1970, 4758, 7513, 1233, 3617, 7871, 1568, 1270, 1255, 6219, 2552, 3481, 8787, 2090, 8298, 906, 1465, 48, 1772, 1273, 4346, 3335, 2160, 7013, 8126, 6506, 5264, 3799, 7790, 4260, 783, 8833, 1084, 2319, 6563, 4727, 252, 5457, 8281, 2143, 3511, 3761, 5468, 9885, 1643, 3585, 7453, 5691, 8394, 2333, 6777, 8781, 5742, 1279, 4528, 680, 5310, 1670, 7027, 6356, 9012, 7620, 6830, 1940, 720, 5981, 261, 6159, 7256, 3113, 5172, 8625, 375, 5912, 5839, 9345, 9681, 8287, 2073, 6334, 3563, 9185, 2263, 4313, 4153, 3045, 3981, 5490, 8693, 745, 9837, 6831, 6712, 9978, 3435, 322, 4803, 5672, 1563, 7365, 1851, 3351, 4021, 187, 527, 7546, 1860, 6343, 5469, 5048, 1801, 1035, 9904, 8621, 1095, 1027, 3206, 2756, 8754, 2157, 8470, 9415, 7390, 2549, 4179, 886, 7583, 8295, 9705, 2737, 4079, 537, 5291, 8745, 1040, 2964, 1907, 3609, 6390, 2366, 7080, 3957, 9909, 3416, 1969, 2323, 5283, 6394, 9078, 2502, 3192, 5917, 9823, 5880, 1225, 4198, 9296, 2583, 8261, 3020, 6762, 7695, 1212, 9943, 7195, 7328, 4108, 2893, 9897, 3031, 7900, 2048, 1871, 225, 8993, 1998, 6254, 8753, 6618, 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6304, 4771, 2732, 9347, 4137, 1902, 6392, 3541, 787, 8083, 334, 203, 5840, 3954, 700, 2192, 2324, 4344, 1476, 4506, 5421, 7644, 3503, 5384, 1626, 2007, 7440, 9729, 7679, 5547, 5935, 8098, 3195, 511, 2931, 6773, 5572, 6821, 2624, 4385, 3468, 5766, 6262, 6406, 8165, 7470, 4219, 2841, 3505, 1836, 2588, 5250, 1728, 8931, 317, 5375, 1859, 974, 4249, 2810, 5586, 5800, 832, 5966, 5052, 3064, 1577, 5658, 8071, 9235, 5993, 1919, 3795, 2551, 336, 2079, 4764, 3761, 7675, 1649, 1443, 3689, 5565, 6558, 2454, 8717, 8530, 7944, 4648, 5762, 6127, 5274, 1536, 2407, 1146, 5978, 8682, 3345, 7959, 3855, 3526, 4355, 2733, 7357, 4122, 6784, 5237, 8007, 2069, 1286, 4307, 7633, 3659, 4456, 403, 6722, 1246, 1861, 9114, 8830, 2158, 7109, 4623, 1511, 1528, 3421, 1901, 6884, 3037, 4394, 6743, 4527, 3681, 4441, 1697, 5245, 4548, 918, 6419, 4900, 8228, 3858, 1050, 9071, 3773, 1981, 3668, 5552, 4110, 3525, 4044, 3047, 5532, 7889, 320, 7338, 3738, 4727, 1596, 8654, 6920, 2928, 1846, 9267, 4573, 2006, 6971, 5567, 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5274, 9004, 8942, 4565, 4871, 9028, 8105, 7030, 7034, 3881, 8449, 8565, 6762, 3680, 4676, 4687, 2680, 3192, 6265, 8710, 2880, 7584, 4922, 7651, 6534, 8840, 1387, 4501, 1241, 2290, 2709, 282, 9549, 430, 2235, 8914, 3598, 8986, 4443, 8451, 4879, 6683, 6548, 8239, 5452, 8388, 2863, 702, 5413, 4725, 76, 5144, 8987, 8145, 7057, 713, 2446, 7296, 4009, 501, 361, 7451, 7219, 2870, 5718, 2611, 215, 8325, 4112, 8108, 7427, 3359, 5084, 222, 1165, 1256, 2879, 2861, 3026, 6365, 7875, 344, 5256, 2619, 226, 729, 6028, 4652, 31, 1357, 4018, 6508, 2497, 9255, 5178, 6157, 4286, 7690, 3254, 227, 1225, 3398, 5561, 4463, 2191, 5424, 6235, 1707, 5999, 8979, 7133, 7765, 2795, 5935, 5624, 2917, 1789, 4581, 2495, 3659, 3722, 4649, 5065, 6768, 61, 291, 2978, 9082, 6280, 6296, 3381, 7675, 1764, 4231, 476, 9732, 1303, 9112, 7240, 1423, 4976, 6963, 727, 3606, 9249, 117, 5776, 7380, 7217, 1045, 6312, 2403, 5784, 6351, 8480, 3170, 7608, 6275, 1776, 7123, 3642, 4826, 8779, 4563, 2952, 1718, 4490, 8314, 8401, 9585, 4610, 5786, 6475, 9462, 4503, 7793, 3415, 5202, 2098, 7406, 3056, 7698, 3605, 6276, 6817, 9117, 6413, 2437, 5696, 2146, 3385, 4697, 9806, 1635, 5881, 1302, 5466, 4417, 1134, 8135, 4246, 3726, 7357, 4265, 7151, 7539, 3421, 7691, 7702, 1597, 4551, 7456, 8130, 7476, 495, 3465, 671, 832, 1976, 8052, 5016, 4774, 4226, 9555, 1879, 5414, 5030, 5681, 425, 1738, 1142, 160, 4066, 7366, 2761, 8374, 224, 3499, 3791, 4080, 9789, 5179, 1218, 2016, 4048, 358, 4982, 2886, 1375, 9693, 5082, 5093, 3667, 1131, 1948, 320, 3485, 9758, 1961, 531, 7307, 3917, 8532, 9883, 4094, 4229, 1147, 1883, 6212, 6499, 4444, 8716, 7759, 8214, 4785, 1953, 4549, 4458, 6615, 5670, 7708, 2862, 550, 5783, 2340, 101, 4340, 647, 1514, 8625, 6131, 8808, 1499, 6143, 3555, 2585, 7470, 619, 8121, 854, 4215, 3727, 8122, 1960, 4214, 1188, 8913, 7985, 5076, 1915, 7105, 2638, 3068, 1548, 2794, 3, 3835, 8722, 8813, 1633, 3033, 9099, 8377, 347, 4640, 9050, 8390, 254, 933, 7348, 9138, 5269, 7901, 9102, 3730, 3579, 2307, 539, 7840, 4107, 1342, 3344, 796, 9019, 1333, 2095, 5896, 4415, 2801, 2710, 4389, 5118, 8982, 5668, 7774, 5864, 4096, 771, 3654, 6566, 6285, 4817, 4070, 2480, 1570, 3420, 3720, 2889, 2314, 1229, 7306, 3777, 4428, 8735, 1602, 5791, 9519, 1721, 8581, 2202, 8450, 1268, 2872, 6948, 6459, 5206, 473, 2272, 6190, 6277, 1512, 5352, 3462, 1220, 6245, 5694, 8113, 2711, 3678, 3526, 8528, 7205, 4568, 6174, 726, 8838, 8333, 3362, 1691, 1781, 6000, 6675, 7622, 1252, 9343, 4745, 921, 7910, 9236, 9042, 5627, 2866, 6802, 3113, 5710, 484, 6577, 2669, 7282, 628, 1956, 8985, 8742, 968, 2416, 5316, 1761, 189, 3077, 7504, 9293, 1493, 5984, 2357, 2262, 4324, 9962, 6210, 3529, 4175, 4878, 1072, 3962, 2378, 3171, 293, 5285, 5344, 1280, 7252, 4990, 2948, 3699, 7426, 7956, 6067, 8361, 5192, 9471, 8591, 2303, 7086, 6731, 3009, 6292, 8865, 6721, 2059, 8024, 6554, 249, 4541, 5003, 5095, 2757, 188, 2187, 1790, 1198, 7324, 5907, 2142, 5859, 2825, 5085, 2402, 3802, 2960, 4643, 6941, 245, 6435, 7293, 5953, 2885, 8195, 3086, 506, 512, 5832, 5750, 7526, 3858, 1605, 7846, 507, 4333, 3595, 5390, 1020, 7819, 9367, 8627, 8321, 6917, 2285, 9666, 3052, 6853, 9263, 2827, 5544, 2919, 2343, 7760, 7264, 7127, 1100, 843, 3497, 5102, 5593, 8654, 9508, 7880, 1275, 2910, 3850, 4807, 6462, 9564, 8018, 8923, 3525, 9329, 5336, 2453, 5586, 2745, 6895, 5101, 1202, 867, 3197, 3423, 2786, 5645, 4506, 6712, 9295, 4854, 1614, 9747, 2839, 5793, 5442, 3448, 2162, 113, 306, 9172, 4904, 9863, 5649, 9096, 2472, 2648, 3378, 1259, 7727, 7703, 9260, 4235, 2558, 1031, 8656, 1911, 710, 21, 1679, 9978, 1037, 1245, 8243, 1047, 3748, 8507, 8087, 1069, 7767, 2769, 2092, 1631, 280, 6989, 7472, 75, 9543, 4259, 292, 1627, 381, 3387, 6815, 3956, 9944, 1308, 95, 7815, 1703, 4282, 2955, 590, 2048, 1249, 3447, 9478, 6549, 5378, 3199, 6188, 8109, 2348, 6059, 597, 1756, 7349, 8997, 9421, 4816, 6767, 6299, 1833, 7365, 2720, 3040, 7641, 8457, 9841, 2596, 407, 2083, 8554, 9142, 6350, 415, 1460, 7922, 1652, 6137, 5162, 5280, 1247, 2298, 1695, 9909, 2649, 1371, 5899, 9173, 7769, 7000, 6943, 1816, 988, 1181, 3296, 7092, 4513, 591, 7297, 1141, 336, 3049, 5933, 9832, 9398, 2785, 5991, 6831, 5075, 3416, 4594, 9056, 731, 6297, 3312, 2914, 5979, 3404, 1762, 3090, 8003, 2511, 8536, 5359, 6862, 7527, 6926, 182, 8893, 6331, 1515, 5846, 4284, 9174, 2970, 8428, 343, 5741, 7459, 3662, 5106, 5142, 8039, 2304, 3823, 6538, 8386, 1412, 5236, 7457, 5630, 6560, 5074, 2641, 9466, 8417, 9608, 7854, 3826, 1154, 5002, 594, 2322, 3620, 6559, 4907, 9164, 275, 8235, 3939, 5709, 2331, 6423, 3833, 5774, 6184, 7583, 5792, 3496, 6164, 1440, 7024, 8146, 5566, 1193, 8485, 6234, 2891, 5901, 4338, 6054, 7590, 9650, 7388, 2935, 2976, 6445, 8740, 672, 2750, 6126, 7222, 5061, 3827, 9767, 9766, 2422, 785, 3365, 9500, 2365, 8331, 5405, 9716, 3102, 7330, 9108, 3498, 3424, 6020, 6013, 3504, 6766, 4880, 6199, 4238, 5719, 7972, 1993, 9878, 5951, 7936, 5387, 9509, 9982, 2192, 1870, 5160, 6330, 7038, 7615, 6026, 134, 1320, 2688, 6507, 4366, 3938, 8649, 3553, 2642, 6010, 6236, 789, 6512, 4517, 9575, 4900, 5595, 279, 3808, 897, 2013, 2457, 1319, 5326, 5795, 7818, 8025, 6049, 1103, 2188, 4446, 8714, 3715, 4889, 5972, 822, 1945, 2591, 9725, 1622, 1024, 6852, 3078, 7473, 6677, 6094, 7986, 6204, 6073, 1771, 4550, 3847, 6463, 1538, 8367, 6925, 8876, 9011, 4197, 2700, 1603, 5297, 6722, 1920, 5279, 2809, 5504, 4003, 3152, 6726, 1670, 6416, 128, 1659, 7168, 9861, 446, 6703, 3703, 3949, 2027, 9937, 7742, 5425, 3758, 4629, 1217, 6215, 2918, 7468, 248, 899, 6795, 7955, 2462, 1607, 5764, 3735, 7589, 7147, 8519, 5062, 9047, 9738, 2506, 6127, 7377, 8936, 287, 9453, 2665, 8620, 1874, 6593, 168, 6017, 787, 576, 5498, 5309, 9429, 6356, 6502, 9568, 9262, 8631, 7358, 9475, 6518, 2617, 7712, 1001, 2056, 2057, 3761, 9933, 2138, 3615, 7152, 2243, 6072, 1454, 7968, 8674, 509, 2536, 2601, 9640, 5781, 4998, 7477, 1626, 4331, 820, 477, 1667, 6737, 23, 6530, 1509, 350, 9379, 6031, 7499, 2664, 5997, 6068, 9748, 3451, 9331, 2384, 5986, 8572, 90, 6302, 6012, 8490, 7250, 2228, 5001, 9435, 8349, 8804, 2015, 1846, 1340, 9919, 3744, 7119, 1766, 7490, 5198, 5278, 2126, 8754, 2070, 3145, 5998, 2732, 8220, 700, 3246, 7639, 8758, 6974, 5615, 6866, 9638, 4233, 9484, 6952, 3607, 683, 4557, 2969, 6825, 7764, 1938, 4981, 474, 9003, 4771, 8567, 6206, 1937, 7341, 4830, 6573, 1904, 6077, 5440, 7741, 891, 439, 3971, 5515, 1221, 5610, 4297, 642, 4855, 3977, 207, 4591, 752, 949, 4433, 3450, 630, 4088, 858, 2893, 2783, 6519, 4739, 1610, 4689, 954, 6230, 3859, 3955, 3851, 5723, 7911, 4402, 1232, 2019, 5676, 2683, 635, 922, 1463, 4734, 5872, 4964, 2483, 5023, 5777, 8065, 4593, 5974, 2566, 5237, 5608, 2793, 4084, 4823, 1329, 8751, 1931, 3479, 8324, 9707, 774, 5562, 1067, 2531, 9582, 5597, 303, 8797, 8091, 3749, 2368, 5070, 5235, 2332, 6053, 2266, 9219, 3923, 5042, 6193, 4038, 2467, 8070, 3811, 1235, 2008, 8061, 2051, 9230, 6042, 1985, 4171, 4715, 7792, 3122, 5539, 1133, 6213, 176, 5289, 9544, 1716, 4, 4669, 2130, 276, 9201, 4208, 8092, 2608, 1909, 106, 8049, 607, 6648, 911, 8032, 3947, 6857, 6133, 3840, 1836, 1722, 4154, 830, 950, 6036, 8471, 4465, 8798, 4237, 2981, 6975, 7273, 2962, 7863, 7598, 4473, 2882, 2371, 3016, 7729, 2023, 7474, 4031, 2066, 2006, 3998, 8338, 4552, 8833, 8835, 8462, 3935, 6249, 3506, 5897, 2729, 6908, 3343, 4124, 4621, 3510, 1444, 6334, 9438, 4168, 7043, 8054, 947, 6961, 370, 2544, 5816, 9078, 9310, 7830, 640, 7374, 5493, 8609, 199, 3929, 2831, 3116, 3085, 4731, 8101, 9342, 5380, 9686, 1714, 1314, 7585, 4097, 9553, 7948, 5089, 6933, 2283, 7852, 5229, 5876, 4377, 1740, 6640, 686, 2780, 1513, 788, 8075, 1025, 4570, 1434, 5087, 5033, 7800, 1408, 6310, 3221, 877, 5261, 8726, 8348, 4291, 764, 1109, 3295, 3443, 8812, 4017, 5205, 2813, 9607, 742, 1949, 2834, 6347, 1418, 965, 8469, 4110, 3353, 9649, 8648, 3747, 1675, 8675, 4650, 952, 5125, 1061, 2289, 8212, 7919, 4935, 7035, 9588, 2762, 525, 8431, 4329, 9232, 2041, 1866, 9081, 7838, 829, 5361, 2494, 6791, 4691, 1311, 1809, 8642, 191, 5255, 6220, 6120, 7816, 3389, 6829, 9381, 4599, 5195, 1966, 3014, 9307, 7835, 2043, 1608, 8806, 4952, 9156, 7496, 9357, 229, 2842, 9895, 4741, 4140, 5189, 5167, 3410, 7482, 6718, 4575, 296, 4776, 5203, 6124, 5253, 6318, 3573, 8064, 4147, 9733, 9399, 7025, 9977, 1125, 5329, 4360, 6037, 2817, 2687, 436, 1374, 4558, 7248, 1362, 999, 138, 3055, 3657, 2438, 7529, 7478, 9674, 7204, 2090, 7689, 9046, 846, 2346, 6135, 1226, 9959, 6050, 2708, 4659, 27, 3034, 4633, 1717, 2537, 7054, 5930, 2430, 7304, 5934, 1730, 3963, 2277, 379, 1363, 5099, 3194, 7607, 5000, 5007, 2516, 5883, 2141, 802, 2439, 1102, 8562, 1358, 3889, 9356, 5678, 2225, 1839, 8291, 3030, 2508, 8330, 4399, 3407, 9118, 9436, 3783, 1196, 5197, 7378, 3181, 1712, 7431, 705, 4002, 864, 2805, 5225, 7083, 35, 1988, 8869, 2024, 7732, 2280, 6118, 1560, 8540, 2486, 1842, 5358, 9677, 4681, 1710, 2242, 5187, 3300, 3208, 987, 7191, 6844, 5286, 339, 4285, 5454, 4945, 3025, 1473, 5114, 6794, 3029, 99, 4902, 3724, 1138, 1970, 8715, 4244, 3545, 980, 9089, 1441, 2328, 7410, 6076, 2153, 1700, 91, 8412, 4560, 4063, 2424, 8977, 882, 6967, 2851, 4363, 449, 7576, 3825, 2604, 6382, 92, 3274, 5013, 5215, 5767, 7980, 8539, 2459, 9216, 557, 9098, 8822, 9143, 1115, 7637, 2030, 5100, 373, 9872, 2381, 3144, 380, 1979, 2624, 4011, 1623, 6436, 8041, 8138, 4317, 7568, 2781, 1521, 8566, 1788, 4441, 3549, 8031, 8375, 6084, 6115, 5455, 3631, 5169, 5468, 7891, 906, 7163, 1166, 9452, 4657, 1885, 2421, 7797, 9217, 2717, 3326, 3508, 2082, 9494, 9296, 1783, 3195, 8141, 1940, 2224, 4293, 4030, 9, 6740, 3440, 2774, 7286, 9184, 4103, 973, 1744, 6836, 5268, 7251, 8596, 432, 8918, 3760, 856, 9465, 8183, 871, 3829, 498, 6621, 6348, 3895, 2959, 126, 5227, 322, 1300, 9641, 725, 6698, 6129, 3308, 6376, 6556, 2559, 8453, 6195, 1689, 7621, 2333, 681, 5963, 8884, 5841, 6641, 4696, 4065, 944, 5579, 7284, 6788, 9269, 7751, 7987, 362, 9306, 8622, 2412, 5096, 3466, 8161, 5703, 6905, 8629, 3287, 8902, 1888, 1060, 1452, 2000, 5239, 6205, 427, 8537, 8678, 3266, 7771, 3159, 6025, 9000, 4334, 3279, 9794, 7382, 7164, 4881, 48, 5843, 5814, 1575, 64, 1385, 5994, 841, 5299, 2101, 6005, 5245, 3180, 6472, 878, 7068, 2400, 3741, 2317, 4989, 9393, 9824, 9016, 939, 7644, 2376, 8500, 9358, 7665, 3350, 6932, 4383, 6868, 3117, 4039, 3379, 4994, 5349, 1056, 9035, 3219, 6087, 7423, 7693, 8752, 9541, 9946, 3542, 5704, 9408, 5458, 9579, 4218, 2478, 1926, 8588, 6631, 6649, 3196, 3006, 1392, 5868, 8221, 3121, 4644, 2205, 5863, 5724, 948, 8415, 7409, 8834, 3325, 5293, 1644, 1994, 1128, 2391, 329, 7269, 3243, 4757, 9198, 7494, 1838, 1070, 1209, 2972, 857, 9556, 540, 8928, 3384, 8267, 4119, 8811, 4179, 6019, 1964, 1957, 886, 5830, 143, 5884, 4827, 5893, 396, 3572, 7617, 3235, 3388, 5226, 9722, 587, 8743, 3780, 9335, 5262, 942, 6130, 457, 9708, 6553, 8030, 508, 6563, 3355, 2618, 1823, 951, 6595, 6248, 677, 8491, 7546, 5807, 4193, 3513, 363, 8839, 4420, 1555, 9063, 1068, 2379, 1164, 2748, 4136, 1116, 4928, 7116, 4020, 1420, 6988, 8993, 1765, 653, 505, 198, 5448, 338, 4408, 3488, 3075, 4279, 2167, 1117, 3750, 7435, 4158, 7340, 3543, 535, 5849, 6888, 1055, 3877, 4277, 3514, 6078, 6654, 2772, 5677, 4104, 4411, 8503, 9542, 8329, 6542, 3039, 3474, 6451, 7061, 5606, 5993, 903, 4987, 3169, 1616, 8280, 5128, 9030, 8855, 4313, 4167, 268, 6950, 7112, 1559, 7820, 4008, 1156, 4887, 3869, 8405, 9305, 7700, 9457, 4604, 6984, 6949, 2300, 766, 4718, 9498, 1572, 5875, 931, 3112, 1853, 2713, 8669, 6687, 6148, 4963, 2775, 7154, 7738, 18, 1980, 8702, 5687, 4278, 6597, 9203, 6162, 9366, 3562, 7884, 1489, 7965, 9268, 5845, 5383, 2894, 4658, 4798, 8406, 4457, 1088, 542, 4090, 8793, 5109, 108, 676, 7408, 7209, 3798, 8769, 116, 946, 1428, 1699, 5799, 9682, 3163, 586, 1919, 7002, 4075, 8849, 5573, 4595, 6647, 9271, 5553, 9062, 6936, 3653, 6123, 9309, 5263, 3587, 8433, 2199, 2133, 1168, 8781, 4394, 608, 723, 2868, 5035, 8538, 3926, 5163, 3880, 3409, 4321, 7866, 7692, 3244, 2490, 6002, 6673, 7148, 7946, 3031, 3975, 7102, 3820, 546, 1204, 8597, 9699, 5020, 8807, 6724, 9853, 7809, 51, 2323, 2373, 327, 4625, 5365, 7169, 902, 5889, 5732, 5567, 7383, 3698, 5788, 9253, 5373, 7796, 6702, 8419, 8434, 9562, 1624, 3386, 4637, 2651, 9700, 7082, 5211, 9715, 7631, 1238, 5248, 6479, 5837, 855, 3886, 8358, 240, 5584, 8940, 8895, 4802, 1315, 3057, 9703, 384, 2838, 2706, 3517, 8264, 4412, 105, 5303, 3395, 3797, 8028, 5371, 3501, 2395, 1523, 7371, 2847, 6602, 8832, 6065, 3589, 9225, 7912, 9546, 1820, 8168, 6197, 2930, 6397, 580, 8780, 5006, 6843, 5137, 7013, 4542, 2354, 1283, 885, 8599, 6716, 4495, 8652, 2118, 8644, 2074, 4361, 4157, 1136, 9776, 8114, 9605, 6315, 4518, 9777, 1078, 3697, 3516, 514, 5372, 1532, 7949, 3900, 2989, 975, 3500, 7844, 1149, 4668, 7510, 9121, 8582, 4308, 3232, 5827, 4409, 3315, 1563, 398, 5860, 4927, 2980, 7802, 4250, 8272, 1856, 5666, 5855, 4467, 3074, 62, 6492, 4177, 9906, 6611, 6822, 3224, 791, 8350, 6990, 4404, 1085, 8689, 352, 3045, 6759, 4634, 570, 3855, 6062, 7417, 6689, 2967, 1932, 7175, 1019, 6894, 5107, 9109, 8704, 3775, 2045, 9215, 4666, 5794, 7710, 6301, 7770, 7181, 1657, 3533, 4873, 1104, 7879, 5952, 7752, 1301, 4736, 1650, 5509, 2674, 3441, 357, 1263, 2208, 6329, 3327, 7782, 1847, 8800, 4310, 9822, 2698, 2661, 2587, 8580, 4263, 6516, 4838, 4064, 2139, 719, 4079, 6674, 6810, 7593, 2653, 9154, 8402, 8755, 3548, 8499, 9771, 1091, 3263, 3898, 7331, 171, 6680, 3364, 236, 3979, 5600, 1905, 7003, 178, 5088, 5927, 666, 7022, 9414, 8362, 7411, 1456, 6935, 926, 429, 2929, 2552, 9850, 8322, 5829, 4155, 7443, 8421, 8866, 1959, 1327, 3924, 3054, 4695, 7553, 1257, 909, 3912, 2498, 6353, 4590, 5499, 644, 7238, 2009, 724, 1432, 6165, 4743, 1759, 4997, 8456, 559, 9908, 9450, 2247, 5536, 4703, 5689, 6500, 181, 7016, 8497, 1095, 408, 3092, 7563, 302, 4947, 3884, 9322, 606, 2063, 6807, 9821, 6506, 1426, 6260, 2599, 5151, 4820, 3091, 9785, 9525, 1578, 4580, 8847, 3544, 6855, 8228, 9885, 3563, 4232, 4307, 961, 6996, 9578, 6899, 6598, 9129, 9402, 1137, 1437, 388, 9931, 9634, 4846, 6151, 1611, 7129, 7461, 9085, 3927, 3822, 1893, 6443, 2353, 6714, 4489, 4692, 6695, 1978, 8845, 8917, 1912, 7268, 561, 6765, 6266, 1388, 4680, 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8332, 4562, 5839, 4794, 3139, 9299, 3921, 9749, 6469, 8337, 4183, 5856, 1108, 1934, 1326, 8682, 9912, 3640, 6221, 6846, 9199, 4062, 9051, 7424, 7536, 1491, 9910, 9652, 579, 8712, 6361, 3375, 9091, 8613, 3186, 9223, 1576, 9006, 6994, 4036, 5711, 3893, 7170, 1171, 3027, 1393, 7262, 9348, 3069, 8422, 5418, 5348, 4222, 6954, 5661, 8084, 5066, 9927, 3348, 7562, 3141, 5809, 5207, 6247, 7239, 2958, 0, 7140, 8356, 577, 5804, 12, 750, 6646, 299, 6783, 5027, 8697, 2764, 3455, 4448, 2002, 84, 3370, 7630, 3768, 7480, 6239, 5078, 2623, 6405, 2556, 3586, 972, 9531, 1645, 6720, 3689, 9809, 7090, 57, 5391, 8886, 3561, 5744, 2114, 1212, 3088, 4042, 8310, 3207, 1282, 9188, 1355, 2563, 97, 3626, 655, 8509, 709, 7874, 1213, 7634, 141, 8014, 1344, 7178, 8153, 6532, 447, 8705, 3770, 9534, 6254, 2716, 2852, 6319, 5580, 3484, 6584, 8006, 1427, 1726, 5254, 5945, 1900, 8012, 8859, 4092, 7564, 2094, 6216, 8690, 9606, 2194, 5230, 4760, 845, 9105, 374, 3936, 4268, 6481, 8086, 8782, 520, 2394, 4726, 8079, 4824, 4970, 3162, 1030, 8991, 2973, 9529, 2227, 7393, 5381, 7646, 560, 3845, 2306, 8818, 1983, 3140, 5987, 1228, 4026, 3951, 1324, 1016, 5635, 3930, 3082, 1536, 555, 1239, 6785, 5571, 7786, 1648, 6614, 8638, 365, 8683, 4818, 2974, 7599, 5873, 2702, 4368, 2213, 4034, 9170, 6016, 6474, 8841, 8144, 3304, 5861, 601, 5660, 1585, 3669, 641, 7556, 164, 2196, 1996, 3066, 5464, 8850, 8278, 6662, 5267, 9754, 6803, 4405, 1054, 7368, 7071, 2201, 1120, 1251, 9786, 4858, 2921, 1553, 2414, 8959, 4783, 2401, 5831, 2950, 8410, 5046, 9752, 5548, 8236, 17, 6558, 9711, 4920, 894, 1052, 870, 9137, 6557, 6678, 5067, 4024, 8019, 4348, 2077, 9176, 5177, 7735, 8306, 9034, 9301, 328, 2673, 401, 4257, 1680, 8461, 4543, 3434, 9533, 7096, 2526, 4204, 163, 3188, 2137, 395, 7221, 263, 386, 665, 2222, 6140, 7335, 9200, 2543, 7362, 6149, 5081, 6887, 2259, 1884, 1479, 4223, 3211, 5950, 4510, 7055, 895, 1908, 1655, 8044, 3682, 3854, 2096, 8191, 8783, 4210, 5353, 4914, 5961, 3890, 3828, 3767, 1927, 49, 3200, 3371, 4956, 5857, 4414, 768, 7458, 3468, 3358, 1132, 4396, 6938, 5803, 7772, 2892, 3469, 119, 3413, 5560, 7855, 5294, 6186, 7190, 8470, 4327, 6464, 3189, 5755, 5212, 1495, 8073, 9339, 9903, 9897, 9589, 2311, 7138, 4374, 5153, 3481, 1034, 403, 8142, 652, 1802, 1600, 1457, 6363, 3015, 7867, 5036, 7677, 1719, 2694, 3801, 2696, 1227, 3911, 5213, 9222, 9401, 6993, 8496, 1902, 6271, 812, 4911, 9915, 9025, 2832, 2200, 8559, 6824, 7625, 9871, 4487, 1947, 2824, 2907, 3281, 5720, 5748, 9227, 8459, 8308, 5655, 9828, 620, 4299, 413, 5937, 5184, 3965, 4023, 8364, 1383, 4623, 5368, 5136, 3575, 2934, 2109, 707, 3182, 8302, 7805, 9297, 7801, 1925, 2123, 4675, 2715, 9902, 2426, 5646, 8956, 6528, 4511, 1336, 1425, 3294, 3931, 4938, 4843, 6470, 8828, 1151, 3255, 4585, 2777, 3204, 3288, 5765, 2011, 1784, 5251, 4401, 1792, 2549, 3737, 1763, 5191, 6167, 1077, 9273, 1886, 9079, 389, 2807, 4514, 1098, 481, 6098, 1231, 556, 6774, 22, 1609, 9689, 6279, 4635, 4906, 5931, 1758, 8378, 4300, 6411, 270, 4202, 4347, 4656, 1276, 7062, 2140, 848, 9960, 9298, 3806, 6473, 4772, 4118, 1929, 1826, 4021, 9180, 8953, 5798, 8877, 7696, 4512, 9458, 1852, 3001, 4288, 4150, 7998, 2081, 2956, 1564, 50, 5513, 884, 6357, 6217, 6827, 2003, 1815, 6344, 6755, 6171, 4535, 7442, 2993, 747, 7399, 9328, 7859, 7471, 8165, 2996, 4894, 5921, 2436, 7047, 6552, 7989, 8791, 9069, 4986, 4212, 6417, 7287, 8379, 804, 6223, 2163, 835, 6692, 5662, 3095, 5063, 3981, 5503, 7506, 1273, 8912, 1503, 5735, 4615, 5835, 1255, 3942, 7099, 8005, 1012, 4867, 2475, 2007, 1177, 8593, 1664, 158, 3258, 1995, 448, 5126, 2350, 880, 2050, 4134, 2029, 9814, 6521, 5403, 6763, 526, 2818, 8486, 1791, 5047, 4946, 6830, 1615, 8919, 7794, 932, 532, 437, 5446, 5702, 4068, 6456, 3282, 1216, 402, 7896, 543, 900, 5923, 6159, 4908, 637, 8396, 5131, 5888, 2406, 3928, 8725, 9858, 4315, 2121, 3271, 8955, 8784, 9710, 7929, 330, 3643, 2044, 9377, 6629, 6511, 876, 5502, 9594, 464, 3999, 6699, 958, 114, 9413, 4679, 8511, 3087, 5159, 5778, 8151, 1370, 4145, 7784, 4611, 3907, 5955, 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4845, 7893, 8327, 6782, 1500, 1649, 6365, 5958, 6774, 1104, 181, 7068, 2888, 4846, 7966, 4259, 5446, 1812, 2865, 6221, 8902, 9904, 3754, 6316, 1741, 743, 6458, 9876, 5763, 5359, 7718, 5466, 8730, 3625, 3055, 1054, 2681, 5680, 9046, 9150, 8388, 7648, 3079, 4557, 2578, 9307, 2380, 8019, 8037, 6167, 4597, 5264, 480, 7110, 327, 9948, 8824, 5660, 3824, 5944, 6214, 1482, 9452, 7509, 1705, 8614, 8676, 1088, 4408, 2147, 2178, 7517, 8549, 624, 2206, 7025, 3382, 4030, 8594, 6332, 5618, 7654, 4258, 7603, 9162, 2938, 6372, 2427, 9021, 1120, 2495, 5846, 111, 5215, 2594, 8098, 3139, 470, 6873, 1022, 8919, 6606, 2827, 2050, 8505, 352, 6850, 2910, 4642, 7522, 6544, 500, 8786, 4592, 7961, 3689, 4527, 9882, 3984, 7532, 7112, 3194, 9265, 3952, 1893, 7737, 7374, 764, 2972, 5199, 1568, 4383, 1515, 8546, 4949, 1434, 1248, 6624, 6474, 8580, 4062, 859, 8442, 4982, 896, 3596, 817, 2651, 8211, 3209, 3227, 278, 848, 8892, 4993, 5747, 4184, 7114, 7736, 1790, 4709, 9929, 231, 1473, 3636, 4660, 5291, 4316, 3941, 8665, 7067, 6235, 9802, 6431, 4745, 2652, 2364, 7791, 8084, 9015, 8302, 5202, 8234, 3412, 9038, 1945, 1184, 4994, 9224, 942, 7069, 1570, 2254, 1310, 8559, 1609, 3608, 5589, 899, 3860, 8788, 2051, 5323, 4431, 876, 6593, 3640, 2361, 698, 4792, 2061, 5169, 4685, 1718, 5423, 8375, 9679, 1521, 8270, 5283, 2829, 5334, 6608, 7219, 7688, 5318, 846, 5767, 3728, 8114, 2385, 4850, 2042, 2354, 5951, 3518, 5428, 8486, 1412, 4180, 4281, 3820, 880, 5517, 1556, 2904, 3189, 5999, 9173, 2496, 3823, 3983, 3718, 2733, 3826, 7936, 1374, 2283, 4523, 717, 7292, 6526, 3175, 7122, 7487, 4391, 7242, 7104, 1837, 7778, 1518, 985, 2731, 4418, 3748, 720, 8438, 4865, 3195, 5425, 2433, 7628, 7784, 5285, 6730, 924, 8893, 2071, 3910, 3169, 651, 4048, 4707, 3215, 3785, 7309, 5258, 3145, 8439, 5026, 1762, 2132, 3295, 2738, 3220, 7089, 3076, 5069, 4539, 8185, 6669, 9330, 9947, 4506, 6103, 1980, 3504, 6542, 4929, 5737, 5849, 7823, 1001, 3691, 1728, 4139, 1364, 2143, 7045, 765, 3615, 7376, 6292, 1532, 3456, 1725, 1913, 5717, 4881, 7072, 4330, 6715, 1717, 935, 2874, 5224, 1992, 7128, 7267, 3097, 2771, 5537, 4730, 8503, 7597, 2452, 4425, 1438, 6078, 2401, 8321, 7564, 6756, 5674, 6037, 9752, 8165, 9172, 4892, 9315, 6123, 8162, 689, 989, 2800, 7496, 5062, 6251, 6143, 885, 3587, 4105, 9901, 1823, 3131, 2988, 2290, 2907, 8760, 3573, 7480, 2762, 1925, 9276, 4651, 2278, 6051, 6813, 7282, 3966, 7484, 525, 2686, 8294, 4217, 8357, 5928, 520, 4992, 6384, 2317, 2996, 819, 4293, 138, 3291, 2197, 7697, 3457, 9072, 1947, 2678, 4951, 8923, 2131, 9028, 3562, 5982, 3061, 7274, 1566, 7137, 768, 4092, 8297, 2923, 267, 4224, 8232, 5518, 9498, 825, 6047, 5084, 7773, 3057, 1735, 5400, 2503, 8663, 7657, 5719, 7977, 6882, 931, 4666, 9156, 9185, 3369, 3461, 2975, 1046, 5968, 1517, 2753, 6231, 1749, 3422, 4747, 8378, 6319, 1224, 4725, 5759, 7057, 6677, 8036, 5690, 7073, 458, 4183, 6505, 9117, 5083, 3817, 8615, 8687, 3358, 7847, 143, 6317, 3676, 4436, 2862, 7826, 8382, 3483, 9189, 3367, 1134, 186, 1577, 6592, 382, 1040, 6352, 7446, 4998, 4751, 5914, 6351, 7391, 4978, 9085, 2787, 6764, 5473, 8776, 5837, 7957, 5581, 4728, 4444, 2664, 6114, 4046, 417, 286, 5891, 7012, 4457, 328, 2191, 7832, 966, 8078, 5212, 4593, 5353, 4318, 379, 5266, 7367, 9586, 7009, 3711, 4790, 8901, 3348, 3249, 7846, 5188, 8873, 4621, 8444, 2480, 2088, 1317, 4036, 8049, 6419, 4533, 5738, 5604, 1792, 6026, 7539, 30, 5522, 268, 2914, 1910, 3669, 7065, 8008, 4223, 5899, 3260, 3932, 4282, 5557, 1589, 7922, 9233, 7204, 3268, 3280, 3852, 8067, 7666, 2236, 5669, 3085, 8643, 4821, 4463, 6274, 4613, 7382, 852, 5558, 6642, 638, 1595, 5902, 3226, 2780, 2011, 3639, 51, 3874, 5685, 8661, 8167, 3532, 7870, 7408, 3386, 3838, 8965, 116, 3153, 3900, 3111, 1386, 5333, 2726, 1699, 7168, 6726, 5619, 5838, 7858, 6472, 2016, 1233, 6678, 3148, 3182, 6279, 3269, 1727, 5124, 6171, 8662, 1974, 2900, 2293, 7853, 7221, 6344, 1769, 7901, 299, 4492, 362, 6350, 6307, 8113, 3590, 3372, 2377, 3500, 8257, 7463, 7335, 4021, 8757, 7119, 4596, 9363, 1458, 3252, 7310, 741, 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126, 7270, 3688, 3795, 8915, 312, 8502, 5170, 6919, 8115, 8678, 9625, 5927, 4157, 7591, 5711, 1720, 7763, 5067, 7604, 7589, 404, 2768, 6589, 5452, 5867, 1620, 5316, 7599, 5418, 2935, 8802, 4095, 4655, 1096, 2456, 685, 6062, 7635, 9039, 4162, 6586, 5588, 4977, 2004, 7428, 8279, 3519, 3387, 7477, 2003, 5976, 7041, 7678, 5507, 3524, 4738, 5722, 6386, 9978, 4702, 7518, 2218, 977, 2036, 5047, 8722, 9308, 7934, 9846, 7793, 1456, 7964, 9234, 4175, 6954, 1092, 6363, 2837, 8090, 8468, 1860, 8738, 9954, 1150, 944, 1962, 3657, 3781, 5363, 0, 240, 3418, 5913, 9796, 8595, 8389, 8200, 1336, 5059, 2545, 2658, 1594, 3459, 9273, 5448, 4355, 9814, 6478, 584, 117, 5416, 1903, 8055, 7448, 2231, 3564, 7839, 5848, 7237, 9030, 7455, 3758, 4240, 7435, 1587, 2573, 2108, 5856, 1006, 4549, 5075, 3672, 2933, 5151, 4221, 5108, 5534, 9940, 9130, 9336, 3002, 39, 1341, 1381, 3912, 4299, 8968, 5496, 5366, 2200, 7700, 1607, 3869, 1892, 1140, 613, 4454, 5833, 383, 4703, 8367, 9052, 4377, 353, 1764, 3481, 8015, 6762, 6374, 8171, 9573, 6959, 113, 4856, 1750, 2838, 2247, 401, 3431, 4764, 6743, 8626, 4650, 4190, 7954, 791, 3462, 6460, 1151, 5637, 4117, 1824, 589, 5940, 5375, 9334, 7513, 3663, 4244, 2834, 4132, 4844, 2156, 60, 1678, 979, 7186, 1443, 3777, 650, 3516, 6835, 4659, 2066, 3089, 7321, 4954, 249, 4885, 5419, 1608, 3165, 4635, 5866, 9574, 8286, 8699, 8732, 7167, 6131, 7554, 5007, 1982, 851, 1278, 1021, 1758, 9442, 408, 2528, 3365, 5426, 1576, 52, 9197, 6671, 902, 3200, 8959, 6601, 6328, 2742, 2172, 75, 5261, 3402, 3876, 8561, 1611, 8147, 5354, 1256, 5578, 953, 4805, 3881, 7288, 3693, 8634, 986, 9279, 5907, 1141, 6465, 107, 3157, 1464, 2765, 9745, 208, 6243, 9362, 4097, 139, 3620, 4774, 8356, 735, 2650, 2761, 4433, 9371, 8833, 7047, 2102, 3655, 4867, 694, 9093, 6840, 230, 8343, 6584, 1313, 4683, 1995, 2840, 1694, 3344, 3435, 1985, 7766, 6093, 3261, 6097, 3093, 5393, 4197, 6094, 93, 1345, 2906, 3886, 4158, 5317, 4550, 86, 713, 7786, 8921, 2177, 7278, 1196, 8284, 5807, 7912, 8333, 2710, 7869, 4196, 8978, 9109, 4072, 5552, 693, 1926, 1116, 606, 9262, 5600, 5623, 3104, 5030, 6495, 1909, 8004, 4245, 7524, 2815, 38, 253, 4637, 9504, 1981, 4715, 6980, 1970, 2259, 4933, 8054, 4016, 5327, 1840, 9300, 6302, 910, 3701, 3884, 3479, 7993, 785, 3591, 3878, 2694, 4155, 8336, 1009, 2642, 5098, 5912, 8166, 6749, 2703, 9550, 4290, 995, 3383, 3275, 8344, 2663, 4315, 3088, 6984, 8458, 8409, 6470, 5020, 5251, 840, 7357, 5362, 5512, 9909, 4907, 3887, 5100, 8600, 4594, 8935, 2481, 5155, 5135, 3299, 9388, 5745, 4758, 8128, 3439, 1062, 9017, 8612, 2889, 677, 7921, 8528, 3812, 1777, 2255, 7691, 9880, 411, 9404, 3068, 112, 217, 6202, 5859, 8941, 7245, 8872, 3565, 1008, 1416, 4882, 1637, 9095, 5990, 2609, 1031, 1601, 3783, 669, 8161, 8874, 4937, 7392, 2705, 8437, 2183, 1244, 9890, 557, 4442, 3210, 7916, 5487, 6278, 3293, 1298, 991, 8622, 4410, 5709, 883, 1420, 2158, 2969, 1251, 4150, 437, 7134, 579, 5595, 6690, 2619, 8251, 4677, 6502, 4548, 4968, 688, 3023, 6942, 5615, 2991, 530, 6691, 8940, 9558, 4203, 2806, 6618, 462, 6010, 9246, 6418, 5028, 5210, 1130, 9236, 8124, 8348, 3797, 5439, 7501, 7154, 193, 460, 1748, 6443, 5159, 8880, 5998, 8860, 390, 3396, 3428, 7800, 5184, 4120, 8728, 5267, 3472, 5639, 6067, 1189, 3119, 5307, 8087, 6486, 3279, 4086, 7365, 7378, 2544, 676, 2109, 6888, 8403, 5162, 5495, 873, 9163, 8717, 3930, 7710, 8742, 2096, 9513, 6204, 5597, 300, 1651, 7512, 8255, 2547, 8605, 4415, 3599, 7228, 6639, 5176, 1602, 1896, 6908, 3430, 811, 1361, 441, 959, 4794, 471, 8656, 9213, 4726, 2922, 1219, 6747, 4103, 7538, 749, 2968, 3043, 5888, 3247, 3300, 4201, 6778, 6576, 1235, 2963, 6892, 1744, 8118, 2716, 5348, 5855, 1830, 1401, 8362, 3776, 8583, 4652, 3571, 5046, 511, 4374, 3491, 4239, 4364, 6909, 6102, 5376, 3882, 7323, 2411, 976, 1542, 7266, 8704, 7809, 4961, 4617, 3867, 2260, 3933, 9339, 708, 6692, 5422, 8133, 2502, 521, 3862, 7557, 4964, 7149, 7113, 5911, 5024, 5628, 5893, 7723, 891, 6632, 3584, 9580, 6759, 3836, 3352, 3181, 7054, 8745, 3032, 7394, 1415, 2232, 4847, 5412, 9538, 2647, 9242, 2570, 1480, 7096, 2799, 2230, 8782, 3911, 4588, 494, 7358, 1908, 2000, 926, 3522, 6208, 4765, 2814, 559, 4918, 1685, 6494, 6303, 8013, 5945, 4111, 7101, 518, 1774, 5967, 3707, 2381, 1373, 3875, 2895, 4, 162, 663, 348, 1862, 5052, 1109, 3839, 6184, 7027, 542, 6823, 5631, 7982, 9607, 6411, 8473, 8918, 2184, 3572, 3355, 5368, 7380, 609, 4439, 4996, 9755, 3536, 4397, 2949, 9743, 8813, 7984, 8709, 32, 516, 2033, 9083, 2081, 3996, 2711, 6134, 3322, 9650, 6515, 4173, 596, 922, 7514, 4243, 838, 7225, 7752, 8974, 8686, 3934, 4309, 6993, 484, 9507, 1471, 6885, 3125, 2223, 6689, 5243, 4249, 9196, 6773, 6802, 1643, 7506, 7996, 8072, 4864, 5132, 8457, 6090, 7669, 5256, 5433, 5946, 6897, 2872, 1986, 8596, 4558, 8423, 1185, 5506, 5563, 5245, 3988, 272, 6315, 4204, 8581, 4252, 1746, 9458, 5574, 4061, 3757, 6056, 5178, 5207, 2852, 5718, 7905, 5796, 2174, 1976, 190, 7384, 8364, 1255, 639, 4681, 5063, 2745, 4770, 184, 4538, 8830, 2488, 7848, 5694, 4671, 3429, 8754, 1208, 6387, 1759, 865, 1194, 8383, 1586, 1111, 3284, 1751, 5583, 3137, 1236, 4416, 7834, 872, 2379, 1553, 444, 9205, 2304, 6672, 767, 8360, 1171, 1351, 3015, 1778, 5621, 7366, 2357, 8017, 6579, 1575, 1683, 8522, 8822, 3957, 6864, 7547, 4213, 2820, 3548, 6013, 5023, 5895, 5975, 3114, 2056, 1489, 1488, 1231, 4535, 9116, 4029, 9822, 3008, 9500, 5798, 9462, 7852, 133, 4926, 1129, 2392, 2343, 4406, 655, 4787, 3011, 4630, 9806, 5114, 9370, 6851, 2548, 5894, 3256, 4984, 1227, 6165, 4669, 7138, 2529, 4902, 6382, 9148, 8195, 8335, 3044, 9177, 1397, 2870, 9864, 4723, 2740, 3866, 6772, 8938, 8809, 3333, 415, 4636, 1197, 7938, 1847, 9031, 4295, 1618, 808, 3123, 6878, 4606, 5373, 5044, 8635, 7124, 6616, 5203, 8366, 4694, 6008, 6434, 3022, 8197, 2942, 7504, 1559, 2491, 2987, 6596, 7347, 4497, 6219, 3130, 2662, 4026, 1760, 6170, 4675, 3905, 1493, 3072, 8443, 5769, 4972, 6648, 9392, 9377, 936, 1037, 8995, 762, 5414, 8971, 3602, 7699, 4358, 6952, 157, 5386, 5860, 7754, 855, 7461, 1305, 4382, 8640, 8992, 34, 7625, 7546, 5884, 7730, 9693, 3183, 1065, 9298, 7503, 4672, 8092, 5528, 1763, 9875, 8432, 5216, 4896, 3258, 5923, 4174, 279, 9820, 2229, 8070, 8741, 1711, 9194, 4100, 1359, 4687, 3968, 5217, 549, 2441, 5693, 8675, 5314, 316, 6654, 4855, 4251, 774, 6801, 46, 5150, 2355, 5924, 6269, 7145, 4880, 6393, 8164, 3600, 7785, 8725, 5401, 3051, 7550, 5730, 9525, 5977, 293, 9066, 2841, 4788, 7411, 224, 3113, 6063, 5455, 1834, 2145, 8513, 3012, 3704, 2927, 6705, 7641, 8991, 2272, 8313, 6732, 996, 8529, 1565, 2866, 1799, 6356, 6375, 6267, 4262, 1882, 7239, 6211, 7334, 9343, 1045, 760, 1218, 3283, 9710, 386, 168, 982, 4732, 8009, 2671, 8112, 1581, 6982, 7459, 1702, 8028, 2489, 1791, 8590, 3902, 1455, 3763, 1052, 307, 1870, 2149, 4824, 6874, 3025, 6197, 6476, 8287, 6178, 4679, 20, 8572, 1229, 1292, 5812, 761, 5328, 7913, 1217, 5523, 5873, 2501, 2325, 8922, 3040, 9444, 3228, 2537, 6714, 6430, 4733, 1103, 6207, 4172, 3128, 513, 3569, 5407, 4163, 5983, 264, 972, 1276, 3755, 269, 7453, 2632, 9183, 71, 2027, 3575, 5764, 862, 4015, 8847, 5271, 8895, 130, 2597, 5388, 6120, 9695, 952, 545, 6945, 5451, 5793, 2810, 8811, 6200, 5644, 9683, 6263, 4575, 1013, 9716, 3473, 3683, 3520, 3959, 3250, 1579, 5965, 3340, 1334, 7656, 7070, 4065, 1181, 1670, 4414, 6552, 1056, 422, 2188, 721, 2064, 242, 9860, 3646, 4246, 6566, 3652, 587, 158, 9900, 8803, 338, 515, 1813, 3833, 8975, 8292, 5313, 1312, 9365, 514, 8750, 1350, 1073, 826, 8570, 2079, 540, 1038, 2784, 7395, 5554, 5896, 5880, 2121, 1110, 9911, 2766, 5734, 3078, 3561, 2135, 178, 8483, 6688, 7379, 6670, 5821, 7523, 3197, 6900, 3606, 957, 6110, 5790, 5142, 9843, 2373, 7720, 7208, 7797, 1390, 7020, 3951, 6473, 3312, 9661, 7976, 662, 709, 8325, 7485, 5854, 9669, 7973, 6808, 7960, 7362, 9794, 917, 1826, 633, 5513, 7975, 7664, 9332, 9868, 1941, 438, 1730, 4291, 718, 1598, 5667, 2926, 7553, 5791, 5918, 9688, 4222, 1081, 8645, 8175, 4007, 599, 4044, 7058, 6987, 3460, 7222, 1865, 497, 9696, 6553, 2104, 2271, 3001, 1859, 2628, 3512, 7356, 7760, 1993, 434, 8014, 8795, 9652, 1721, 1924, 3909, 4202, 3332, 3780, 5842, 6128, 9275, 4186, 1969, 4701, 7210, 9182, 4600, 8122, 5904, 4941, 4891, 241, 2507, 585, 7277, 3083, 6631, 9430, 504, 9496, 2583, 9604, 5104, 9753, 8359, 8369, 72, 4140, 1066, 2515, 8762, 8145, 7250, 3000, 1691, 763, 9497, 2850, 8184, 8774, 5843, 4360, 2875, 4233, 8494, 6951, 2345, 4326, 1380, 1043, 1316, 4134, 5942, 7965, 2157, 5984, 8737, 1988, 2052, 8424, 7932, 6565, 322, 8428, 5253, 4369, 1128, 8819, 5691, 1012, 2720, 1624, 9804, 3136, 9556, 923, 2754, 4260, 3319, 582, 1884, 8618, 3987, 7693, 5752, 1623, 4350, 4130, 5468, 8163, 9520, 6910, 5122, 6829, 3118, 4080, 6079, 8982, 7348, 6577, 5950, 6861, 3949, 7280, 204, 6076, 5103, 8376, 2828, 4943, 8673, 325, 7108, 7109, 3073, 8095, 9061, 4141, 8030, 6830, 4958, 9968, 5785, 3828, 7609, 5933, 6429, 5443, 103, 8225, 9829, 706, 6394, 3827, 7677, 9797, 8132, 7776, 790, 6135, 6849, 7818, 6288, 550, 8548, 457, 8214, 2346, 6962, 1413, 7131, 5168, 1165, 6890, 3799, 2419, 4279, 8844, 6021, 3385, 3474, 9569, 1280, 7191, 1074, 6349, 4361, 9590, 6948, 8520, 3489, 19, 6455, 8459, 8719, 4599, 8222, 6343, 2543, 1907, 3335, 3499, 2057, 2073, 7822, 1243, 3477, 4712, 1136, 7935, 5174, 5105, 8010, 927, 6708, 3768, 7745, 6686, 3903, 934, 4079, 3513, 4230, 4435, 9193, 6454, 3141, 9187, 5959, 858, 7711, 9157, 4953, 7543, 2179, 8481, 2333, 586, 1965, 297, 9341, 8394, 2195, 1133, 9131, 2567, 7844, 807, 174, 4560, 3931, 7304, 4609, 5591, 1703, 9791, 5494, 6534, 837, 5470, 7403, 315, 6264, 691, 6236, 7150, 1367, 3031, 1225, 2138, 2001, 2119, 1772, 7747, 3589, 4859, 8840, 4064, 5610, 3958, 8177, 3558, 4087, 490, 4108, 8110, 8194, 7341, 5969, 7386, 6191, 8482, 9318, 6376, 719, 452, 5469, 537, 7567, 1600, 320, 3133, 1487, 6289, 3818, 9503, 9335, 8186, 3541, 2749, 4276, 5128, 124, 5447, 87, 7390, 2044, 7633, 7246, 5869, 5749, 2171, 4381, 8664, 8119, 6192, 1311, 7211, 3009, 833, 4692, 5182, 9627, 3406, 3992, 7651, 8406, 4908, 3229, 8126, 7817, 9323, 2937, 7571, 4534, 9950, 877, 2825, 1433, 854, 412, 2913, 1135, 6628, 4673, 789, 2010, 4870, 1048, 6600, 5246, 5013, 5462, 6721, 6979, 237, 498, 226, 3313, 802, 4835, 4883, 679, 7819, 406, 2038, 9783, 8606, 9171, 3736, 3240, 5449, 7083, 6225, 9408, 3531, 166, 152, 7594, 6399, 5136, 3276, 1927, 7679, 4320, 3134, 7549, 6549, 1696, 8842, 1604, 1288, 2508, 5053, 2282, 6929, 6285, 3760, 3552, 6203, 1162, 5635, 3694, 4404, 8148, 2956, 3705, 2704, 8963, 5803, 6295, 4049, 8695, 5532, 6738, 9429, 4236, 2227, 6752, 4580, 5922, 8976, 6364, 4263, 2498, 8498, 2471, 2561, 6049, 4595, 3832, 9902, 8551, 8490, 8103, 8153, 42, 4199, 869, 6831, 1340, 1562, 4332, 4166, 2812, 2669, 4924, 2979, 3511, 6921, 8681, 4806, 2432, 7534, 2082, 7885, 9697, 8447, 2795, 7202, 2638, 5437, 2602, 5762, 8926, 8932, 4504, 4807, 8495, 150, 990, 149, 6745, 1330, 6799, 8829, 3166, 7405, 8173, 9613, 6477, 214, 7655, 392, 5241, 4654, 9789, 3343, 9601, 6022, 4200, 6521, 4656, 7490, 7171, 4499, 53, 7899, 4586, 3163, 3527, 4647, 433, 40, 625, 6031, 2532, 6981, 373, 6886, 8273, 558, 1622, 3320, 7456, 8237, 7046, 8196, 3563, 6446, 8274, 1220, 9102, 4619, 3583, 1384, 5510, 6275, 5991, 9808, 6490, 8836, 6583, 6142, 9454, 1445, 9737, 2831, 9219, 8393, 266, 8278, 5120, 6971, 5424, 3331, 4370, 5035, 2423, 4257, 8825, 228, 1230, 3990, 8723, 9402, 7815, 2756, 5429, 6508, 5575, 5329, 3793, 5371, 5705, 2878, 1785, 1207, 6724, 4284, 420, 9893, 7955, 7471, 5654, 8227, 5404, 2310, 7153, 3919, 2610, 7170, 483, 311, 7608, 834, 921, 8773, 4530, 2062, 8301, 7142, 8619, 5480, 9111, 671, 7074, 9934, 342, 8085, 7618, 1545, 2958, 8068, 5014, 1091, 8657, 683, 3974, 6972, 7772, 9383, 1247, 4081, 387, 8563, 6086, 246, 3686, 3311, 5405, 4090, 4277, 8785, 2706, 937, 1289, 7016, 7725, 343, 2347, 1632, 1739, 8217, 6792, 874, 4473, 7117, 6412, 6575, 8329, 6548, 7051, 1842, 2048, 4547, 4085, 8629, 1537, 8370, 2832, 6763, 1953, 185, 1328, 8334, 6261, 7734, 574, 725, 2280, 2457, 6445, 3835, 9962, 2211, 5273, 1279, 6780, 8141, 7042, 9140, 6255, 2151, 6609, 7675, 9651, 8242, 2440, 9746, 2744, 2368, 304, 2864, 1977, 1296, 7197, 1395, 7542, 8419, 4366, 2472, 66, 7944, 6966, 3879, 522, 6832, 7076, 7986, 1028, 6735, 1928, 8515, 8966, 4472, 9599, 7099, 4357, 4546, 6444, 8027, 70, 2163, 3316, 6290, 4156, 1745, 1102, 8319, 3445, 3830, 3398, 3790, 7575, 4335, 5298, 3257, 9686, 5781, 8086, 4525, 5702, 8810, 2764, 5435, 7343, 8804, 4101, 1270, 5938, 9295, 3363, 5209, 6371, 6153, 5326, 7689, 7667, 6095, 2925, 8137, 5743, 1761, 8399, 4368, 864, 9023, 6342, 3325, 784, 164, 3544, 2216, 8712, 2790, 2793, 9075, 1533, 7008, 31, 4460, 8747, 1912, 1237, 5308, 5524, 5726, 3568, 6416, 7460, 567, 6567, 9980, 7871, 7173, 9666, 9501, 3592, 4542, 9700, 9081, 9245, 5780, 9885, 1512, 2047, 8410, 7398, 3464, 9676, 7255, 2791, 1693, 7706, 4817, 7066, 1798, 8542, 5219, 6650, 1403, 928, 167, 9135, 3613, 5002, 5815, 2783, 4449, 463, 435, 8986, 4975, 9781, 8026, 7761, 7592, 7861, 2412, 8744, 9899, 2023, 7182, 2646, 6423, 1849, 8025, 6633, 8841, 5500, 627, 4107, 1254, 4091, 3338, 3586, 3151, 615, 223, 9924, 5073, 6213, 3891, 2951, 7318, 6024, 108, 3681, 8433, 9067, 7902, 7385, 8534, 4171, 1507, 5585, 8280, 261, 7469, 8207, 9327, 9667, 8794, 5493, 7407, 5656, 2773, 9390, 6590, 4727, 524, 85, 8204, 7889, 8363, 8337, 6462, 6706, 3064, 106, 6896, 925, 7991, 7420, 956, 6657, 5116, 200, 5374, 6758, 6259, 2098, 9487, 3239, 8983, 9644, 9354, 6701, 9331, 9202, 8672, 6403, 6432, 1389, 6194, 9178, 155, 6195, 1952, 6182, 8989, 3292, 1768, 7877, 2952, 8168, 548, 6029, 8586, 9658, 7559, 189, 6335, 560, 7914, 306, 6973, 9104, 4488, 9047, 1782, 9250, 5227, 5596, 6238, 317, 7370, 1214, 1503, 9918, 9642, 7850, 319, 8339, 1857, 358, 176, 2941, 8964, 546, 5695, 4969, 5561, 3807, 4188, 2295, 7758, 3915, 8653, 4096, 1713, 8761, 8524, 7198, 5239, 4649, 5676, 2181, 4441, 9010, 393, 8169, 2021, 2335, 7910, 1284, 8593, 8094, 5827, 8589, 3769, 7828, 5647, 8796, 6733, 9037, 2519, 5000, 6450, 1850, 8258, 8610, 8228, 3468, 4988, 5213, 6338, 813, 4285, 8158, 2169, 7095, 2634, 2430, 1011, 1998, 1309, 8464, 8689, 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9909, 1521, 7646, 3759, 9634, 4190, 1871, 3575, 7928, 5043, 7067, 6718, 8686, 6838, 6004, 277, 1335, 5393, 4762, 1394, 7809, 6045, 4709, 186, 755, 7374, 6684, 7229, 7462, 3566, 5745, 395, 9549, 4926, 4499, 6459, 9178, 6173, 7536, 7641, 9238, 2645, 6919, 1267, 1746, 22, 2388, 8001, 169, 6067, 6879, 6366, 6531, 6637, 8772, 1838, 9882, 3427, 8289, 6383, 3140, 4468, 6858, 2637, 464, 9814, 3557, 4496, 3306, 2291, 5335, 9317, 9897, 1993, 2514, 4730, 1450, 4696, 5891, 6040, 4604, 9671, 2761, 9248, 2616, 55, 5960, 6411, 4501, 4258, 7753, 1405, 7357, 6999, 3966, 9688, 8480, 2102, 6033, 9318, 9040, 6076, 1514, 4562, 1304, 9807, 6059, 7973, 1148, 367, 6356, 1181, 7781, 1046, 5822, 8791, 3977, 6728, 2245, 6857, 9506, 9199, 9349, 3544, 709, 5422, 4037, 9072, 533, 1396, 1114, 4462, 173, 9415, 9905, 4325, 2039, 3684, 6464, 2258, 4881, 8637, 0, 2408, 4567, 8190, 4909, 3867, 3904, 7578, 3190, 3880, 8150, 2204, 234, 4164, 1541, 5649, 7118, 3767, 2371, 4347, 737, 3941, 1594, 6070, 2001, 8018, 3305, 2508, 6276, 569, 5424, 1795, 1150, 7798, 5486, 5313, 6196, 5123, 1449, 8591, 7643, 9931, 870, 4738, 5700, 8299, 9550, 1227, 1674, 3117, 8957, 9500, 3422, 2850, 6448, 30, 8137, 5214, 6490, 4991, 6104, 5132, 4687, 1941, 9010, 8308, 7008, 1322, 4512, 5325, 337, 7540, 5003, 7134, 2593, 8052, 9540, 8492, 4867, 3154, 7210, 992, 5349, 8219, 7525, 4211, 7454, 5299, 7551, 6077, 7574, 3899, 5076, 2510, 4027, 2717, 6712, 1175, 3764, 3048, 8726, 7037, 7241, 6837, 4099, 7077, 6726, 7098, 6175, 6862, 6946, 7422, 6994, 4628, 278, 4218, 8369, 1441, 6765, 2013, 1182, 3276, 7253, 7854, 4073, 9502, 283, 8274, 6511, 9537, 4275, 2459, 3439, 6309, 2896, 1779, 6384, 7895, 5937, 7530, 3975, 83, 7487, 4910, 495, 3301, 4745, 1794, 2533, 9919, 2626, 1908, 6231, 7713, 6653, 7096, 1478, 8189, 1503, 7752, 5709, 5115, 2820, 3291, 8405, 5755, 8964, 7130, 5913, 134, 3908, 7685, 5660, 1288, 7018, 7180, 5497, 2871, 8346, 6261, 549, 2244, 339, 3328, 2695, 2062, 5145, 818, 3213, 9196, 3049, 168, 3155, 1748, 5682, 3814, 1894, 9430, 2487, 8784, 7267, 4862, 3914, 2733, 4641, 6929, 3153, 5843, 7941, 1228, 8241, 5866, 4463, 7626, 6361, 504, 2386, 6743, 8161, 7336, 9407, 2496, 7355, 9162, 1044, 1126, 9087, 4839, 8488, 5477, 933, 1934, 814, 9358, 686, 5368, 3529, 301, 335, 3459, 4750, 8443, 2664, 3794, 4194, 6317, 7560, 5924, 2801, 4866, 6715, 2942, 865, 2173, 3863, 5816, 1318, 8619, 6843, 8227, 5566, 6937, 6425, 8322, 5463, 82, 6945, 8298, 9930, 5609, 1950, 6805, 7276, 4725, 552, 8976, 5557, 3626, 1393, 1060, 1949, 6556, 7996, 383, 289, 3159, 6074, 7554, 7070, 5308, 2631, 9122, 1615, 5028, 2654, 4689, 1379, 5710, 4431, 4375, 8898, 7382, 2428, 4523, 9983, 2472, 3599, 6801, 1280, 8827, 6080, 7709, 8944, 9470, 1916, 5842, 7365, 2335, 8304, 3112, 4414, 6964, 7851, 5199, 8709, 5787, 2349, 1879, 3394, 4016, 997, 5483, 4250, 358, 4384, 4215, 8998, 161, 1657, 1718, 3310, 9890, 7817, 1329, 9047, 8000, 2721, 1492, 9027, 9301, 8107, 5270, 851, 1565, 7692, 4860, 5953, 3804, 3012, 9521, 6193, 2282, 1259, 1604, 6667, 5372, 2538, 4997, 3108, 5418, 1085, 7091, 3022, 6885, 1440, 9524, 9044, 628, 8495, 4948, 9779, 7727, 636, 4088, 2170, 1555, 3717, 3959, 8421, 2580, 6804, 6092, 6905, 1940, 6269, 3576, 2528, 7613, 2043, 8904, 4066, 4367, 5927, 4785, 3718, 3250, 5622, 2147, 4643, 6190, 8202, 7329, 7853, 5429, 5204, 7693, 1381, 6941, 9967, 5779, 6116, 3432, 996, 1945, 4438, 4940, 4576, 398, 9501, 3215, 6614, 5074, 7987, 2168, 1465, 4254, 904, 3760, 2187, 8220, 6331, 540, 2377, 5581, 1154, 1536, 8245, 6755, 343, 3592, 7330, 3073, 6853, 2152, 6460, 4905, 3995, 3124, 9716, 4823, 2763, 9816, 327, 7830, 2900, 1269, 9955, 5966, 588, 2874, 4029, 1490, 1472, 4852, 939, 2902, 3502, 2574, 9160, 2952, 7875, 8438, 4918, 8029, 5409, 1825, 4897, 4437, 1783, 4798, 6767, 6778, 6967, 8891, 675, 8860, 3731, 7785, 6676, 1403, 2965, 8185, 5465, 5344, 8123, 8958, 4442, 2072, 2383, 9334, 4812, 4219, 4, 4318, 3382, 380, 3245, 2454, 9755, 29, 2853, 6616, 5776, 501, 2219, 2793, 8585, 6814, 5582, 6800, 153, 5993, 8627, 8041, 6110, 7510, 2999, 7001, 840, 2647, 5573, 5, 515, 5254, 8822, 5677, 3504, 7022, 6881, 9101, 4493, 6794, 3777, 2143, 4786, 8711, 4721, 4467, 4013, 8605, 5563, 4352, 5051, 2696, 9429, 6554, 8735, 5673, 8901, 6284, 5605, 8579, 3892, 152, 3179, 7548, 9399, 7672, 113, 809, 9013, 3890, 5333, 5671, 6571, 2911, 1495, 5513, 8207, 1446, 7577, 5462, 711, 8023, 2415, 4389, 1665, 7512, 6253, 4841, 8159, 3264, 1026, 6976, 3882, 4155, 3896, 578, 3507, 7470, 6118, 7151, 7271, 7806, 6774, 1448, 1311, 5950, 39, 751, 4208, 4532, 2037, 5291, 9464, 1676, 6824, 8446, 3169, 7040, 5131, 8385, 2184, 8595, 5774, 1727, 3065, 1277, 9272, 299, 3489, 1684, 317, 857, 7145, 9422, 5473, 7665, 9155, 1719, 7483, 1815, 1628, 5667, 9154, 4497, 3927, 3553, 4105, 1134, 5322, 4588, 7712, 9412, 2522, 8746, 372, 8325, 7687, 9520, 1171, 386, 6390, 3681, 3532, 2231, 5887, 2277, 9693, 8397, 8968, 6694, 1212, 6038, 4170, 8062, 3976, 2070, 6115, 3053, 73, 6010, 4748, 9903, 119, 7463, 6226, 8039, 1968, 3499, 7791, 255, 673, 8114, 237, 5267, 6487, 1608, 7224, 850, 5549, 3333, 4942, 9372, 3704, 691, 3859, 1590, 7776, 2927, 1062, 6780, 4846, 7104, 5232, 2288, 5716, 5058, 6675, 5708, 3399, 3667, 5152, 5680, 6301, 773, 2769, 2513, 2635, 3944, 2333, 7815, 3619, 758, 6437, 2669, 2362, 2610, 1089, 8032, 3857, 1645, 7705, 3902, 3946, 3826, 4128, 5070, 1011, 4397, 7958, 8639, 6665, 8175, 3193, 5640, 6519, 7819, 8118, 6334, 1238, 2663, 1355, 9163, 6590, 5899, 5027, 4264, 214, 9343, 2228, 2805, 4795, 9143, 9694, 1922, 5959, 563, 6078, 5844, 7542, 9447, 5873, 5205, 4854, 1160, 5592, 5035, 6702, 7944, 4306, 972, 794, 9585, 2659, 681, 7621, 1901, 8712, 6222, 6965, 1068, 2376, 5679, 6689, 6389, 820, 5057, 6933, 1384, 3850, 4508, 7723, 6427, 8403, 8932, 5510, 9468, 2689, 4958, 8103, 167, 3993, 6069, 8089, 1591, 2742, 111, 4191, 5164, 4276, 1307, 7582, 4143, 8724, 7720, 8300, 4448, 9257, 8392, 7778, 7670, 6895, 3036, 1515, 7230, 6894, 8027, 7031, 9263, 452, 5565, 5253, 3131, 9201, 8212, 5350, 3965, 2995, 4900, 6240, 76, 3980, 2425, 4454, 2768, 7701, 8753, 5757, 5853, 2302, 8554, 8111, 9229, 8267, 1554, 1769, 3267, 1553, 6954, 8568, 6436, 633, 5166, 7978, 8321, 9746, 966, 5982, 9344, 1123, 3248, 8132, 3569, 5364, 3157, 968, 1188, 5593, 9195, 1803, 909, 7428, 2293, 4694, 52, 3345, 5444, 366, 6373, 8146, 6034, 2050, 4132, 7087, 6250, 7444, 8262, 1700, 7904, 4995, 4568, 4391, 3675, 1180, 6525, 1885, 1349, 8133, 2772, 5600, 9940, 8681, 10, 2356, 5788, 8948, 2891, 5984, 4636, 7898, 5450, 3269, 2471, 9701, 8715, 1860, 9157, 2117, 1206, 6987, 7174, 8367, 8535, 2779, 3918, 4973, 390, 9346, 2175, 8160, 387, 7383, 6553, 6516, 8798, 4409, 6920, 4446, 8230, 5454, 148, 8360, 1484, 478, 41, 3265, 6447, 5678, 8501, 2417, 9737, 5278, 5238, 3936, 9189, 9766, 6622, 979, 1777, 7929, 8153, 6523, 676, 6126, 5468, 6266, 7649, 3728, 3225, 5662, 3818, 3268, 7899, 7432, 2899, 7085, 4417, 6734, 1040, 9645, 7983, 2225, 5766, 1792, 4605, 7498, 7176, 3319, 4787, 2445, 5527, 3132, 9687, 1915, 5399, 4280, 7279, 8561, 9776, 2778, 6944, 4055, 9436, 5825, 9852, 2370, 4627, 8881, 1438, 9963, 8242, 8152, 5269, 6101, 9018, 5001, 4527, 742, 1823, 5935, 2879, 3820, 5121, 8091, 7616, 4761, 9492, 5932, 1857, 9495, 9329, 8448, 3168, 7250, 7120, 177, 4237, 6137, 1463, 8428, 589, 3278, 5815, 7937, 653, 2254, 98, 7848, 8073, 4407, 3773, 7537, 1770, 8996, 492, 8497, 5763, 2307, 4700, 9948, 5789, 2517, 1424, 6655, 600, 3876, 9392, 8695, 346, 2379, 1767, 5481, 3883, 798, 8176, 5773, 671, 9411, 7544, 5989, 4346, 8452, 4381, 5736, 8749, 3921, 7750, 656, 6443, 6611, 6060, 6181, 8984, 4858, 9697, 1850, 8043, 8971, 3284, 7494, 9518, 1542, 1235, 6630, 3511, 4065, 9454, 835, 8130, 9744, 1896, 7642, 1501, 4272, 8316, 1947, 5337, 2535, 3282, 6669, 6495, 9404, 7629, 8511, 6849, 7733, 2915, 6706, 8054, 3841, 7209, 2107, 2002, 8121, 768, 5693, 9820, 9217, 2323, 1203, 4052, 3227, 3929, 2208, 2374, 6952, 9565, 7839, 6827, 7393, 3115, 3405, 8354, 3173, 1005, 3407, 8857, 4953, 7910, 2096, 6374, 2056, 4440, 3573, 1390, 2828, 5634, 3663, 8145, 4320, 2755, 4309, 4755, 4773, 7518, 936, 957, 2542, 1147, 1296, 8102, 2469, 3992, 4433, 1995, 5930, 6393, 8759, 2216, 3610, 9527, 6615, 2103, 7055, 7732, 5032, 8432, 8558, 3365, 5130, 8183, 3922, 2401, 7088, 6153, 6015, 7628, 7663, 3003, 1360, 7369, 8652, 106, 3923, 5691, 8560, 7966, 4278, 9718, 967, 3075, 3535, 6875, 4111, 319, 1254, 2776, 8475, 8200, 3199, 6493, 5919, 8638, 3609, 8342, 781, 5827, 8523, 4158, 5176, 6228, 1732, 2500, 8038, 3886, 1720, 485, 3550, 3642, 8999, 1552, 6394, 8164, 3196, 440, 8588, 3719, 4230, 4289, 2290, 6251, 1451, 6111, 2796, 1875, 9328, 2457, 8177, 7913, 8604, 7523, 8742, 9181, 5024, 1586, 368, 3765, 45, 272, 2283, 2447, 5734, 1567, 4654, 6687, 7874, 9331, 6582, 9769, 908, 6441, 5621, 7246, 2670, 9803, 4174, 3371, 1856, 7926, 5109, 8667, 3770, 1098, 1523, 1925, 8553, 2553, 631, 3423, 8730, 4729, 2309, 9105, 5189, 7648, 9416, 5086, 9848, 5301, 3031, 7205, 8969, 1243, 2527, 7278, 1517, 6050, 4727, 2969, 8188, 7206, 4168, 4789, 7489, 3542, 9515, 2495, 2295, 2991, 1549, 5606, 920, 9611, 8640, 6273, 4923, 5362, 587, 7496, 2380, 4260, 5867, 9867, 7502, 2614, 2619, 9772, 7153, 6278, 1863, 4206, 3148, 8024, 3237, 4648, 8484, 3531, 6686, 467, 3350, 2910, 3487, 6156, 6829, 9507, 5541, 7675, 2560, 7583, 730, 6422, 3596, 2583, 6690, 8288, 5964, 5459, 4179, 6260, 7870, 7664, 1443, 4255, 3041, 1606, 5591, 9923, 8309, 1921, 4811, 2856, 5048, 5275, 6623, 4355, 4332, 9947, 5675, 9009, 470, 3152, 5342, 123, 2842, 7135, 8472, 4491, 6966, 4941, 5664, 8557, 6604, 3639, 8734, 2413, 3018, 2606, 7659, 3734, 4737, 4676, 9725, 6233, 2570, 6328, 8607, 3437, 3094, 5075, 3985, 4225, 4621, 8481, 8057, 8717, 3406, 5811, 6195, 4231, 5225, 2970, 567, 1588, 785, 2774, 9819, 4805, 8659, 229, 4094, 635, 4022, 6812, 7439, 3855, 7745, 1690, 8143, 7190, 8292, 6177, 5733, 8940, 8567, 5478, 7627, 9612, 4018, 9886, 9644, 2499, 8889, 1686, 9206, 491, 2142, 1140, 6628, 1004, 411, 1074, 935, 4308, 1432, 5244, 8332, 573, 4853, 7035, 4071, 8335, 8997, 545, 4962, 9110, 7049, 9175, 9244, 1256, 292, 7461, 4626, 7907, 434, 5098, 4650, 5119, 5646, 1595, 4634, 3302, 1942, 2193, 722, 1846, 3678, 9050, 1100, 8163, 4048, 7384, 2135, 4470, 1904, 1488, 9359, 796, 2909, 6746, 1784, 5240, 9566, 7160, 2655, 3508, 9825, 8469, 4478, 916, 5744, 6566, 3837, 8621, 697, 9831, 9818, 3375, 6514, 9721, 1253, 9580, 4594, 580, 5812, 866, 2346, 1169, 5421, 6991, 4649, 1601, 6160, 4975, 3786, 5792, 3396, 6600, 211, 6923, 6799, 5430, 2462, 677, 9865, 1263, 281, 9759, 6428, 5044, 539, 1339, 927, 5980, 3643, 5569, 3137, 1025, 9732, 4671, 8900, 7859, 9874, 5175, 915, 4348, 2197, 5167, 6307, 695, 5898, 2530, 5054, 3451, 5516, 3501, 5367, 6218, 7260, 3303, 3948, 202, 2467, 4708, 67, 6297, 8917, 4090, 9171, 6430, 7438, 9243, 3843, 1177, 4399, 1948, 6847, 2006, 2937, 2549, 9064, 6221, 1958, 88, 682, 4733, 8644, 5050, 1083, 6311, 6037, 7532, 7678, 8356, 4596, 4791, 8282, 7947, 4078, 4061, 9482, 5871, 4427, 2825, 6157, 8750, 8305, 9173, 6046, 9093, 8154, 6670, 6440, 7129, 3771, 7886, 4457, 7069, 3700, 2224, 9418, 5380, 3209, 4662, 2745, 8994, 3454, 7516, 4533, 622, 8896, 6866, 7358, 1009, 323, 5358, 9901, 2405, 2177, 6279, 1869, 8129, 5383, 8193, 2890, 7739, 9333, 9605, 4635, 1679, 2785, 6142, 2958, 707, 5169, 2026, 8858, 3474, 1708, 7005, 6742, 4590, 6982, 212, 4673, 2083, 8654, 7170, 2545, 5067, 1829, 7580, 2128, 6562, 7468, 6149, 7316, 3254, 4814, 1507, 9054, 7214, 2943, 6295, 2075, 441, 8641, 5705, 8529, 2390, 2357, 3320, 9763, 6170, 8238, 8374, 2767, 918, 1122, 5030, 771, 7261, 601, 351, 1721, 9738, 9408, 4205, 582, 9115, 2285, 7315, 497, 3888, 8502, 1247, 1637, 5862, 8931, 3438, 3858, 9321, 2106, 5619, 2683, 7934, 3828, 5022, 5276, 932, 3337, 6608, 536, 6784, 9582, 8564, 3331, 749, 3738, 8384, 5453, 137, 7573, 7519, 2934, 8008, 65, 7023, 8326, 2875, 765, 4267, 6593, 1550, 7888, 5855, 3659, 1273, 1059, 2347, 4198, 4486, 4582, 8409, 7645, 2599, 6869, 6299, 9136, 4990, 3402, 6365, 3926, 3898, 7774, 5148, 3226, 6547, 9557, 6589, 4802, 7425, 1341, 1609, 1284, 974, 4034, 7820, 3298, 5178, 8615, 7433, 5854, 3171, 428, 8136, 5907, 7092, 1762, 6140, 6775, 6666, 3647, 7052, 8622, 680, 7239, 3964, 8203, 7263, 6161, 7864, 6068, 6113, 1613, 5489, 5875, 6399, 7140, 8348, 5604, 7579, 6345, 8928, 2202, 8736, 1276, 8395, 7740, 9817, 4545, 5502, 6478, 4534, 5529, 3699, 856, 8629, 8337, 4072, 4714, 355, 6700, 5394, 3530, 5300, 7389, 716, 7514, 8833, 3894, 7179, 9034, 9793, 8229, 7684, 2123, 2221, 674, 8961, 2547, 7885, 4819, 3342, 1200, 7734, 7148, 4152, 9100, 5343, 5403, 8030, 6408, 488, 5366, 413, 9298, 9623, 2749, 692, 4167, 9291, 1153, 5242, 7921, 7981, 2403, 8959, 9279, 4504, 4299, 228, 9166, 4744, 5013, 4767, 3931, 8655, 868, 9222, 7293, 3138, 6324, 2743, 4771, 1027, 4021, 8937, 9751, 7457, 7486, 117, 8059, 4986, 4825, 3056, 8792, 6906, 1246, 4665, 3962, 2294, 9017, 8912, 5548, 5588, 6958, 3113, 37, 753, 4611, 1459, 1092, 9661, 5306, 8191, 6570, 8105, 3281, 1579, 2562, 5665, 20, 4086, 7270, 6932, 5432, 8458, 1635, 9440, 5303, 2834, 9205, 6549, 8500, 2868, 7662, 7164, 7392, 2240, 5177, 2798, 1063, 705, 5069, 3510, 3125, 5446, 8286, 4871, 9355, 4353, 8104, 1241, 3197, 891, 9853, 8729, 3235, 9165, 8776, 1216, 2679, 8372, 1110, 3817, 9472, 6112, 4959, 5162, 6466, 9625, 1352, 6916, 432, 5715, 4586, 8856, 6659, 1793, 238, 2486, 8946, 9872, 1166, 3200, 5938, 3990, 4879, 6151, 5196, 9529, 6044, 2034, 1257, 5019, 5892, 1173, 2255, 3069, 648, 6147, 5442, 6148, 3658, 3462, 3297, 8394, 3520, 594, 7767, 315, 1808, 3689, 2908, 999, 1019, 1340, 1520, 6272, 2838, 7028, 8033, 2322, 2634, 4669, 2810, 6563, 4690, 3737, 6581, 6764, 4480, 7948, 6043, 5099, 1987, 5587, 5397, 1502, 8689, 9926, 1887, 4581, 198, 627, 3498, 1518, 1900, 8716, 3045, 4920, 4614, 6274, 6471, 3295, 5071, 2464, 6335, 8919, 1491, 7019, 3234, 5847, 2519, 1772, 5386, 8665, 3545, 2016, 379, 9703, 6098, 7997, 4343, 2010, 9073, 3058, 9479, 3296, 945, 841, 4936, 8528, 1630, 6811, 4300, 2021, 5884, 4472, 6423, 5011, 4388, 3586, 354, 5814, 7546, 5072, 2993, 4935, 7968, 989, 9894, 7656, 8951, 3090, 6548, 1317, 9603, 9970, 2777, 7044, 1661, 3477, 2203, 1986, 5330, 662, 3287, 3212, 2331, 1434, 661, 8635, 7089, 9351, 6081, 8468, 5886, 964, 4180, 7856, 7437, 2154, 4337, 9030, 5889, 3415, 8671, 1967, 1334, 389, 3790, 7942, 2789, 115, 7427, 1611, 3916, 3706, 8821, 3616, 431, 8520, 7558, 1880, 7787, 3696, 1739, 1305, 3799, 907, 8694, 3836, 9335, 8330, 9548, 1385, 5416, 9098, 1786, 5102, 5135, 483, 4051, 1699, 5553, 8206, 780, 5390, 757, 8806, 9834, 3285, 6891, 6243, 7124, 8004, 1510, 833, 9666, 258, 5795, 5476, 5295, 257, 516, 5769, 4356, 1773, 9679, 5920, 4489, 6995, 9833, 8139, 6401, 8422, 7421, 1526, 8328, 4984, 9638, 897, 9077, 4324, 4053, 9650, 3255, 1417, 6872, 1429, 3972, 3636, 2398, 8879, 6192, 4471, 474, 6180, 1374, 6625, 5570, 1562, 3536, 294, 8061, 1889, 7779, 8058, 911, 1899, 9381, 7232, 444, 690, 5217, 8739, 2046, 2269, 2794, 8973, 3491, 3118, 1787, 1545, 9494, 3994, 7998, 3412, 8048, 7423, 3326, 4620, 7517, 5108, 3954, 204, 1460, 1467, 5260, 5216, 4436, 6145, 9096, 455, 6500, 8144, 4592, 701, 3130, 6587, 5284, 7447, 4474, 2073, 6844, 171, 7878, 5970, 8787, 6320, 4435, 2707, 1500, 5068, 6017, 8786, 5458, 683, 8955, 129, 243, 2782, 6238, 3653, 1855, 7901, 5005, 8534, 6468, 9845, 9142, 7961, 451, 7227, 5916, 9250, 481, 4602, 2334, 8731, 9533, 8375, 5122, 7799, 8036, 9836, 5288, 384, 1984, 2429, 806, 4988, 6323, 7081, 6082, 3085, 6465, 3537, 1264, 5539, 5210, 2238, 5994, 3600, 4790, 5157, 786, 4057, 6099, 3588, 6380, 8256, 6979, 6012, 9460, 5754, 190, 923, 8345, 2766, 2525, 8413, 1781, 4290, 1119, 2054, 7268, 4187, 7700, 9708, 4697, 8611, 1242, 433, 1970, 414, 6977, 3362, 5105, 3903, 7016, 5047, 7, 2100, 1453, 9322, 9193, 9070, 2020, 3463, 3781, 9659, 1909, 2271, 9846, 1747, 860, 4863, 4743, 4832, 9581, 2028, 5904, 184, 396, 3682, 8905, 3698, 8046, 6890, 7011, 8031, 7892, 6016, 2978, 2017, 2444, 8053, 6621, 4133, 710, 9042, 1744, 3172, 5056, 5922, 2822, 8883, 9353, 8610, 259, 1632, 959, 2851, 5978, 1371, 7823, 4141, 1956, 7020, 5381, 799, 2042, 6750, 4939, 6680, 4010, 2316, 5702, 1356, 8740, 8688, 9387, 950, 4003, 1439, 5261, 1703, 7338, 6544, 415, 5941, 7972, 2310, 8466, 5542, 975, 6761, 9627, 9728, 8544, 7617, 8295, 7394, 6955, 6658, 4341, 3068, 3672, 8277, 7952, 8859, 6703, 7372, 3253, 7625, 9636, 2723, 4049, 6047, 2819, 4481, 1641, 7607, 89, 5239, 8728, 4550, 9503, 9449, 3589, 3419, 5559, 1780, 2304, 9066, 3290, 1168, 2438, 3122, 217, 4998, 1833, 2066, 2643, 2753, 7161, 3316, 5728, 6730, 8751, 9071, 704, 8491, 9357, 8788, 5249, 360, 9802, 3506, 2702, 3900, 1820, 7030, 3556, 8669, 5849, 8663, 4919, 1938, 2814, 940, 6839, 5089, 1757, 7391, 7063, 8978, 1597, 8151, 1912, 3905, 527, 9620, 3953, 7376, 9765, 7408, 1170, 9675, 7606, 5282, 3051, 1927, 9669, 8248, 4124, 4251, 3607, 6056, 5878, 952, 1199, 2568, 2488, 3707, 9304, 3721, 3249, 1461, 3846, 5840, 7545, 6926, 4144, 7760, 1878, 140, 306, 5555, 9036, 5499, 1837, 3912, 7289, 3386, 3602, 1272, 9791, 7782, 6166, 6071, 6342, 9771, 7080, 4979, 3776, 9695, 2172, 2452, 4830, 6496, 2200, 5218, 2831, 543, 8140, 4891, 5800, 8701, 8886, 5748, 8546, 2122, 8462, 4625, 8922, 2468, 8518, 2286, 6688, 5703, 1079, 867, 3144, 1876, 1753, 8155, 7521, 8587, 4537, 2921, 1660, 7334, 9898, 7634, 6482, 6711, 9643, 3909, 5738, 7985, 9498, 6472, 6645, 9015, 1911, 9462, 7635, 6381, 2521, 4912, 8954, 924, 2658, 4005, 2305, 8921, 2618, 9863, 9915, 1706, 8510, 8592, 8296, 4036, 5817, 5318, 4360, 182, 4259, 6555, 4840, 7406, 5936, 261, 6557, 8291, 7982, 1626, 3925, 8532, 981, 6573, 6194, 1048, 995, 2676, 7769, 4035, 3411, 847, 6372, 4816, 550, 6227, 4350, 1069, 4684, 2799, 2314, 4836, 6406, 3139, 2706, 8276, 5848, 3447, 7361, 7887, 947, 1704, 4245, 9376, 6638, 6770, 2223, 6785, 6485, 2913, 5654, 3961, 9696, 4166, 5998, 9592, 5106, 4425, 1031, 1416, 4538, 5297, 3562, 9841, 7890, 3435, 6244, 3338, 3968, 4321, 5515, 2237, 4797, 7339, 7193, 4896, 6671, 4502, 7485, 3005, 1653, 6367, 5943, 5560, 3940, 482, 5846, 7402, 9058, 6314, 6534, 1694, 1578, 5116, 6762, 8813, 8794, 350, 1183, 1324, 5762, 4311, 1764, 8264, 5149, 836, 9414, 6701, 5226, 4644, 4653, 8149, 3624, 7566, 3352, 2404, 1020, 8871, 472, 7872, 7902, 5230, 4968, 6522, 2917, 7694, 7403, 5392, 9076, 2134, 7303, 1211, 5272, 2153, 7562, 4623, 9639, 143, 9719, 2209, 6415, 5436, 9080, 5257, 5727, 8972, 3206, 9425, 8237, 3256, 4558, 7920, 3093, 8983, 9924, 9337, 1867, 3259, 1913, 3457, 9169, 8927, 4104, 6237, 5143, 6103, 156, 4335, 496, 7006, 1285, 5097, 9006, 5719, 2858, 603, 1951, 7730, 4364, 7051, 326, 5625, 9682, 8706, 4046, 7275, 1420, 3861, 370, 2085, 4303, 7434, 5049, 6283, 8122, 7991, 1198, 4095, 7816, 1001, 4024, 1469, 1156, 9595, 6450, 4520, 5826, 291, 2151, 7842, 3376, 3271, 8809, 7660, 5962, 2552, 9709, 6131, 696, 438, 5961, 7102, 805, 1397, 9020, 2595, 6162, 4683, 4544, 8302, 5717, 843, 5870, 5799, 7034, 4843, 6592, 564, 2498, 1006, 7655, 447, 3289, 1245, 1890, 7125, 5865, 6541, 1258, 5686, 873, 8930, 2992, 2555, 5597, 8646, 7735, 2949, 7882, 2726, 4993, 8815, 7323, 7264, 4173, 1731, 2543, 1599, 8210, 2159, 5034, 9240, 3590, 5371, 2009, 9246, 2226, 5521, 8521, 7204, 7520, 6986, 58, 4262, 9397, 8548, 9453, 4829, 4455, 2848, 4286, 2895, 3710, 4200, 8138, 4492, 8989, 7474, 733, 8063, 6491, 479, 4447, 8555, 1998, 400, 1891, 6094, 554, 775, 4110, 5231, 2090, 8066, 1624, 2980, 5531, 2734, 5124, 4079, 6529, 1841, 4788, 6395, 7999, 1742, 5903, 2976, 6172, 4202, 4092, 2503, 5631, 7471, 1977, 1444, 3822, 2940, 9483, 1966, 1870, 5551, 6973, 273, 5572, 4555, 4017, 5010, 8247, 7110, 2423, 985, 3293, 5514, 5890, 3687, 8811, 1566, 4710, 6732, 4400, 5586, 8007, 4549, 7272, 9601, 116, 9822, 6019, 2971, 8250, 1474, 8906, 1007, 7285, 9559, 6908, 5864, 8433, 6660, 7695, 6434, 5353, 6405, 42, 6506, 8943, 4821, 6032, 986, 2031, 7847, 7581, 930, 8056, 7790, 5752, 7564, 6835, 1701, 8537, 6313, 4281, 6668, 613, 3509, 9254, 3120, 5096, 5836, 7133, 8926, 858, 9756, 5100, 6435, 5020, 1274, 330, 4068, 8907, 1776, 6262, 1409, 3336, 2567, 8503, 6796, 9326, 4680, 1692, 1636, 5986, 4129, 7310, 5824, 7653, 703, 1252, 6064, 5583, 8677, 8303, 3522, 2318, 8165, 7777, 3023, 961, 885, 9176, 922, 6368, 4229, 3136, 1095, 6863, 3114, 4340, 8115, 8239, 2548, 7946, 6834, 8515, 4085, 9420, 8760, 1569, 4691, 702, 5704, 2036, 5398, 6828, 2441, 7939, 1128, 8402, 7007, 3263, 3280, 4712, 6836, 8710, 4002, 1313, 5554, 2003, 430, 2292, 3145, 1249, 1366, 7236, 5079, 7482, 1306, 1107, 1054, 719, 1218, 7072, 9588, 1486, 4702, 6121, 1774, 7726, 8674, 7450, 6586, 3774, 4622, 3845, 4183, 859, 8770, 584, 2576, 475, 8685, 6134, 3513, 446, 7633, 4062, 2324, 1689, 4903, 3840, 5726, 3128, 4410, 2321, 7192, 6205, 1295, 8453, 5266, 6579, 9200, 7975, 1117, 5150, 7955, 4507, 2738, 2775, 6993, 5863, 7909, 8078, 6815, 2607, 1953, 8026, 331, 1668, 7075, 5247, 1014, 8993, 6286, 6349, 8340, 7883, 3087, 6865, 2024, 2027, 9525, 5598, 8836, 7569, 9063, 8737, 7335, 9590, 5379, 5558, 6021, 4238, 3366, 9849, 6984, 3580, 1239, 5215, 2183, 2007, 6643, 6833, 2627, 6610, 5689, 5221, 5574, 4213, 4137, 6214, 64, 1179, 9403, 4758, 4087, 8311, 8415, 6542, 5471, 4856, 6184, 8314, 3646, 6603, 871, 4736, 606, 9705, 8807, 2907, 5448, 3327, 9216, 2577, 842, 6065, 617, 5765, 5046, 4894, 2919, 4505, 7349, 5808, 8483, 9795, 7371, 1655, 6749, 5165, 5059, 6229, 2456, 5720, 2064, 6631, 4487, 200, 969, 1822, 7039, 5602, 4256, 5194, 3413, 6975, 3484, 287, 9657, 35, 2014, 4451, 8865, 3443, 363, 9391, 883, 8339, 4658, 1696, 6568, 4608, 9341, 7908, 8449, 4329, 9433, 8699, 6321, 9305, 9390, 6957, 38, 7990, 3060, 5417, 1563, 8172, 9373, 5768, 2783, 887, 3690, 9739, 295, 2559, 5088, 7386, 3808, 5983, 1546, 4226, 6558, 9873, 6892, 9426, 1065, 8556, 1811, 1926, 6456, 8195, 5506, 2994, 1532, 4310, 7960, 1186, 7837, 1282, 6504, 5992, 6737, 265, 7992, 7938, 5273, 2523, 3669, 1729, 9342, 4952, 6654, 286, 8473, 8837, 2716, 7828, 6357, 8846, 5868, 4161, 9079, 9145, 6123, 9912, 1330, 9109, 9767, 8205, 8608, 7976, 75, 5626, 8656, 6662, 1457, 9052, 8819, 5526, 3795, 5078, 5821, 8547, 8962, 1509, 9327, 4450, 2367, 1454, 7824, 3460, 4777, 462, 7060, 2539, 5504, 8290, 4834, 7163, 6672, 9082, 8086, 8985, 1840, 1088, 8777, 9477, 7604, 196, 3913, 4692, 8382, 2162, 4878, 4681, 3400, 4023, 4972, 1962, 9552, 2720, 2840, 3761, 5439, 561, 8106, 473, 1094, 2139, 9626, 4136, 8830, 1343, 9223, 647, 43, 832, 1734, 6971, 3583, 7838, 9117, 3300, 3868, 951, 442, 4162, 6535, 4869, 2127, 8795, 2928, 3275, 1969, 7508, 8485, 2832, 3054, 2657, 241, 718, 6246, 1052, 5556, 97, 362, 5579, 8174, 9835, 1055, 5638, 7950, 486, 4561, 4020, 5552, 1064, 735, 1229, 4947, 6795, 2608, 4516, 5672, 6419, 1749, 9957, 9445, 7287, 4675, 9757, 2541, 6049, 3086, 9724, 994, 8887, 2845, 4252, 1937, 1303, 9797, 6006, 9784, 9475, 2601, 6972, 1651, 9810, 2806, 4151, 4327, 3517, 3077, 8097, 9535, 8986, 6985, 9754, 9256, 9242, 9274, 9808, 6402, 325, 4574, 4929, 1445, 7843, 1471, 9799, 9081, 2460, 6708, 652, 4804, 2088, 8642, 2038, 3369, 3002, 7893, 7667, 1130, 9722, 7413, 7325, 8839, 1898, 213, 6609, 4015, 6507, 2326, 7632, 2337, 3174, 6187, 7743, 4075, 9307, 5701, 3856, 7142, 6721, 790, 3864, 8398, 7969, 6236, 6271, 2044, 8158, 5334, 7218, 3967, 3082, 8255, 5413, 7717, 1852, 5125, 4282, 4207, 5223, 6698, 7714, 7871, 2419, 5137, 8938, 6832, 5441, 7345, 889, 4728, 2387, 5077, 5104, 9439, 2597, 9885, 5363, 3860, 5480, 6319, 3134, 764, 1141, 6135, 5790, 1190, 9812, 2804, 3043, 3603, 7862, 6326, 5095, 3322, 9241, 5918, 8169, 8390, 8841, 1836, 4872, 8425, 7827, 4966, 5761, 651, 18, 1982, 3321, 5798, 3920, 2959, 7217, 9099, 6617, 1985, 4426, 7309, 6216, 8407, 3834, 4831, 960, 2808, 2317, 3395, 5617, 727, 8368, 9356, 7347, 3505, 5040, 9878, 7585, 9480, 4593, 9943, 5897, 532, 1456, 6777, 4103, 8508, 926, 6741, 2319, 3105, 5877, 2751, 2633, 3739, 5945, 8167, 1185, 5967, 5376, 2242, 4361, 672, 3266, 4575, 5203, 5905, 244, 7469, 5857, 2666, 6027, 3078, 5456, 7004, 5839, 736, 6921, 824, 4615, 6713, 1458, 5758, 8933, 2074, 7611, 5213, 2227, 7567, 1771, 3579, 1816, 3518, 3798, 8498, 4792, 3494, 8632, 5142, 2008, 8942, 2705, 6936, 5296, 6257, 3307, 6635, 7849, 2166, 7761, 2638, 5092, 5971, 5523, 535, 739, 9929, 3538, 8897, 2191, 9252, 1144, 251, 6035, 4456, 8975, 2885, 4212, 3833, 8112, 1226, 7716, 7596, 9469, 3323, 6585, 8490, 2511, 592, 8071, 7362, 2515, 732, 2710, 388, 9823, 643, 4784, 9458, 4901, 7259, 448, 1470, 6063, 1407, 5449, 6754, 7897, 8003, 7744, 1248, 2968, 3378, 8234, 5807, 9567, 3942, 2130, 3167, 3192, 9297, 333, 5688, 5501, 87, 6674, 1399, 3066, 7668, 2207, 3355, 8934, 6889, 6751, 609, 1354, 3160, 3008, 6267, 6910, 3835, 6841, 180, 4354, 4458, 7238, 2080, 8020, 1994, 7390, 9790, 5767, 5601, 9609, 3915, 1539, 7857, 9619, 4358, 4880, 8977, 5460, 9402, 6370, 1415, 6880, 1362, 4326, 5835, 5377, 1558, 4989, 641, 2841, 2864, 7831, 4770, 6943, 8842, 5561, 8393, 6576, 4887, 750, 4019, 8186, 9646, 8055, 490, 5791, 1202, 7681, 5081, 685, 9536, 236, 4279, 6922, 8723, 7647, 5279, 2442, 6878, 2786, 2160, 4735, 2360, 2481, 9893, 7414, 8045, 2270, 3514, 5412, 8002, 3135, 6248, 788, 3618, 9190, 6489, 8042, 3928, 5759, 5571, 2082, 2724, 8660, 8209, 3445, 4817, 8051, 6501, 892, 8313, 9869, 150, 599, 2615, 3574, 6096, 2836, 5764, 1270, 7137, 3745, 8657, 5874, 1711, 7283, 2579, 3807, 2406, 4392, 1622, 5490, 1728, 5212, 7233, 2368, 7167, 1435, 4554, 9170, 3222, 4927, 9711, 801, 7398, 6679, 3534, 1924, 6339, 1297, 5747, 7639, 6360, 3496, 246, 5360, 7772, 3685, 1039, 2092, 6657, 2198, 4304, 8966, 9674, 4307, 3294, 9560, 7346, 3390, 191, 7258, 3092, 6378, 6748, 2466, 5400, 5545, 3645, 6537, 2556, 5633, 3475, 5323, 7689, 3676, 8284, 8675, 7601, 1286, 723, 4603, 5949, 6530, 7025, 639, 7442, 5031, 3358, 7436, 2604, 575, 5612, 5851, 4182, 4598, 3347, 8703, 1201, 831, 8540, 329, 3969, 6474, 8624, 8257, 385, 4949, 9409, 6575, 2818, 4396, 6752, 2077, 9431, 2667, 1712, 7350, 4703, 2272, 8474, 963, 537, 9786, 9962, 154, 7515, 9463, 8249, 7305, 1, 3450, 342, 7128, 4428, 9562, 6720, 4106, 480, 1316, 3907, 5896, 347, 5819, 2737, 4778, 6871, 8804, 6735, 7711, 4269, 9678, 3335, 7780, 99, 4774, 6753, 206, 16, 6132, 310, 830, 689, 5385, 4412, 1954, 3606, 1761, 3623, 6817, 4803, 5809, 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8711, 476, 9687, 9266, 8135, 1587, 4838, 9156, 1136, 5556, 1737, 7443, 3863, 3542, 1142, 6596, 6763, 5095, 4704, 8834, 2994, 9437, 8663, 3860, 2981, 6690, 902, 8907, 7667, 6564, 2544, 9760, 3716, 3052, 5375, 2768, 4046, 2226, 2773, 9179, 6071, 3522, 5826, 9447, 7796, 5815, 5923, 5339, 5711, 7121, 2527, 4227, 519, 2088, 8587, 4162, 8746, 15, 9077, 855, 9226, 6243, 2795, 6560, 3362, 5190, 6272, 8964, 6590, 8392, 770, 2042, 4357, 9174, 8271, 6675, 1673, 7547, 6921, 3573, 1123, 3315, 3212, 2343, 1548, 6102, 4577, 2682, 4677, 2479, 2485, 5315, 694, 1417, 4179, 2628, 4290, 1778, 7319, 5233, 8240, 6501, 2028, 4113, 2538, 3042, 786, 7798, 5061, 7168, 9667, 4676, 5950, 6375, 1312, 446, 73, 9181, 9960, 4895, 5702, 2658, 7255, 1357, 8951, 5424, 3594, 2678, 8223, 6511, 463, 3324, 5057, 5195, 3359, 1499, 9220, 7866, 9455, 2260, 3848, 3079, 1393, 6893, 8076, 171, 4670, 2598, 3425, 2212, 5058, 1615, 2267, 644, 1735, 2913, 2241, 1936, 8983, 2585, 289, 5641, 5786, 6032, 4529, 2647, 2021, 3604, 5800, 7993, 8700, 6142, 785, 2792, 4415, 6441, 5032, 756, 18, 7221, 5158, 725, 451, 9301, 415, 5550, 1158, 8760, 7446, 5203, 4007, 3547, 5531, 9100, 9816, 9602, 6780, 4582, 392, 1134, 8179, 5850, 891, 3367, 1195, 5109, 5225, 9832, 4373, 2713, 1602, 6355, 4699, 1923, 2834, 4717, 2933, 5298, 6370, 8597, 7949, 4659, 8435, 3600, 8222, 5224, 8078, 5521, 7349, 4780, 830, 7998, 310, 5431, 9140, 2389, 5053, 6952, 2823, 6009, 1651, 3749, 4061, 7762, 4089, 7994, 3066, 5019, 1684, 2634, 6126, 8764, 9057, 5578, 5401, 2785, 2467, 1669, 7770, 4204, 5020, 7126, 7686, 7141, 8238, 6095, 6085, 7395, 6224, 3426, 9747, 7631, 8270, 7320, 8995, 8465, 4634, 9123, 1421, 549, 1934, 4207, 986, 7427, 1399, 7712, 9672, 7217, 6183, 2261, 700, 7028, 7729, 746, 3817, 131, 5306, 240, 2625, 60, 5818, 3082, 4098, 3514, 5724, 8735, 7152, 6012, 2041, 3917, 3502, 7343, 3801, 3587, 5592, 4927, 1458, 7399, 9759, 1390, 4039, 9434, 6399, 8721, 3266, 2990, 9653, 5047, 8993, 8278, 5294, 5928, 324, 6076, 4105, 7551, 2444, 3384, 9589, 8885, 9957, 2592, 172, 8615, 3505, 7265, 3700, 7189, 1273, 2151, 8445, 9840, 1668, 4684, 3560, 5248, 564, 5303, 674, 4463, 8447, 1418, 8849, 5689, 9908, 8651, 8111, 947, 4760, 448, 589, 2378, 6909, 7645, 3552, 7680, 6878, 4858, 6228, 9231, 1513, 189, 6617, 7908, 3278, 9097, 1848, 6802, 8159, 4070, 4400, 2196, 7475, 1279, 6748, 6577, 7303, 5321, 2096, 9818, 4212, 1595, 3797, 6250, 5372, 4931, 3733, 2107, 2804, 3762, 5334, 6004, 9039, 6248, 4286, 5052, 8815, 6, 9047, 5700, 3280, 3183, 7591, 7442, 5227, 136, 1516, 3203, 8846, 3796, 900, 3517, 8774, 9941, 152, 7008, 9969, 1987, 2220, 6083, 6077, 9486, 5448, 3291, 7185, 1398, 2533, 7615, 1747, 9402, 1828, 755, 8895, 5586, 5285, 4258, 72, 4410, 6078, 334, 4107, 8948, 1933, 7708, 6084, 1892, 3300, 9409, 6402, 4902, 4830, 8533, 1912, 9132, 7587, 3510, 398, 3418, 2832, 2383, 7086, 1188, 3964, 1061, 9836, 895, 1031, 6049, 3565, 7484, 6057, 8898, 978, 2011, 1305, 9717, 4371, 7143, 2275, 1830, 571, 9483, 1006, 8991, 7521, 2337, 7622, 3661, 8632, 5759, 7400, 3330, 5349, 4656, 5596, 3273, 6523, 3434, 2687, 7000, 5877, 9502, 7499, 6497, 9306, 3161, 1428, 6268, 4210, 65, 1779, 7802, 2640, 8803, 8769, 356, 2435, 4091, 5770, 5116, 6395, 8355, 6134, 8569, 2003, 5645, 4059, 4229, 3891, 140, 2215, 2693, 4277, 4203, 7828, 3167, 9981, 8816, 8606, 8935, 328, 6006, 3045, 1397, 3407, 8516, 8048, 6721, 1043, 1982, 2459, 8640, 4614, 3650, 8369, 2529, 4483, 3126, 4721, 248, 3822, 7216, 5798, 306, 5118, 3122, 4807, 8987, 4881, 7843, 8144, 4708, 9428, 2085, 8867, 893, 2737, 6453, 2672, 5810, 64, 4831, 2133, 3620, 7800, 3535, 6972, 3433, 8793, 5462, 1105, 2611, 1122, 7458, 2312, 5892, 7376, 6608, 9175, 5949, 2038, 8329, 6145, 3355, 1945, 4633, 6382, 3627, 6157, 2798, 645, 9666, 3813, 6640, 6042, 3040, 1166, 2447, 397, 7116, 1514, 4395, 5300, 9869, 428, 3461, 6907, 8307, 4535, 926, 2875, 1189, 2666, 9054, 9771, 4413, 1855, 1337, 8559, 1080, 8738, 7983, 409, 7650, 4312, 9456, 6652, 1944, 8659, 6900, 6549, 6257, 5449, 3102, 879, 2707, 8188, 320, 3800, 8536, 2976, 1586, 689, 5219, 5392, 924, 7782, 6109, 6782, 1893, 6135, 3360, 3569, 2201, 1985, 568, 2789, 4986, 2960, 7099, 3955, 1489, 9800, 6714, 4549, 1483, 2906, 9189, 8226, 2458, 9775, 1412, 3235, 218, 6423, 2935, 2934, 6288, 5627, 4430, 1638, 6853, 1178, 5942, 4782, 1180, 5936, 3361, 6874, 3575, 25, 995, 4217, 5363, 4770, 4262, 1349, 5044, 7136, 5396, 5663, 9645, 1534, 6465, 9112, 6373, 5101, 1744, 684, 8584, 7391, 5570, 6165, 4051, 87, 4424, 6716, 3738, 1271, 2741, 822, 3807, 7637, 1057, 1383, 2263, 4569, 9022, 3689, 7879, 5727, 6941, 6187, 358, 3776, 4571, 6389, 6960, 3195, 8662, 4193, 7529, 5113, 4343, 5080, 6986, 6303, 4954, 4804, 8383, 3846, 2871, 8130, 6834, 8141, 9860, 1050, 8970, 7181, 603, 9612, 7630, 7963, 9240, 8390, 2127, 7936, 1054, 7375, 8757, 436, 4517, 2203, 9200, 4695, 9177, 9603, 4054, 4932, 3032, 9313, 8486, 5947, 9373, 2099, 6833, 1429, 1102, 6052, 2815, 8763, 3055, 6718, 7102, 1370, 5130, 1231, 6232, 8759, 3120, 5549, 1765, 4027, 7297, 5740, 7064, 8208, 8229, 5543, 1289, 6995, 1160, 5973, 2562, 5192, 1177, 6845, 2158, 2106, 5412, 1518, 3236, 1958, 1746, 811, 5736, 1734, 4917, 8643, 8363, 4712, 2586, 6685, 5476, 7166, 5677, 5436, 2854, 2164, 2793, 3753, 5696, 8014, 2801, 5960, 6664, 5410, 5279, 5297, 4576, 381, 4260, 1251, 3398, 2790, 7613, 9184, 4329, 3744, 6891, 4006, 5541, 6753, 9131, 8831, 4602, 8125, 2080, 423, 8605, 6533, 2355, 2594, 4476, 7050, 9593, 2160, 1928, 1618, 3078, 6661, 7953, 4083, 2079, 186, 6738, 661, 8324, 6221, 6884, 5501, 1940, 4697, 2940, 9758, 5477, 2111, 7783, 232, 1813, 4718, 6348, 6524, 6118, 3887, 4863, 6674, 4914, 3536, 1758, 9858, 4085, 7011, 7669, 1124, 4527, 5910, 3909, 5542, 7328, 9066, 2985, 576, 1841, 2165, 5010, 9850, 2125, 7967, 9784, 5562, 7718, 5867, 9478, 9147, 5523, 3, 8754, 2280, 7663, 625, 4017, 4724, 461, 3090, 5163, 135, 1700, 3880, 8745, 1280, 2300, 8214, 2278, 5043, 368, 1214, 5539, 6529, 3712, 9216, 2725, 4345, 9464, 8519, 8049, 4955, 7705, 9134, 3471, 2192, 4489, 692, 5704, 259, 969, 343, 5505, 1137, 7437, 1790, 8840, 7257, 3494, 698, 5309, 6113, 475, 8388, 4773, 1967, 7083, 4727, 7488, 7943, 4201, 795, 1795, 3814, 853, 4129, 5045, 9940, 8328, 7937, 4075, 2243, 6471, 1968, 2874, 3095, 1860, 6260, 2259, 6311, 6464, 5103, 810, 2456, 6489, 8801, 5730, 1456, 1391, 7720, 4752, 5529, 2720, 2929, 5520, 8247, 7448, 1971, 2043, 9643, 6359, 2591, 7268, 4774, 4660, 7543, 3633, 4455, 6351, 5961, 4998, 17, 2025, 3001, 2347, 5714, 5746, 5274, 715, 3645, 4234, 5144, 6051, 2393, 4497, 6177, 2277, 8485, 2518, 9194, 1829, 3870, 2679, 8470, 7519, 1889, 3048, 2908, 4390, 999, 9396, 4401, 4141, 3033, 8653, 6826, 9652, 8107, 4279, 4761, 9130, 4533, 1624, 4379, 1935, 1338, 7639, 1009, 4305, 868, 569, 9743, 1068, 4711, 2570, 2750, 76, 9979, 1443, 4462, 3695, 3643, 7389, 5216, 3707, 8652, 4616, 3883, 3747, 2689, 1388, 8081, 3018, 9418, 2681, 1011, 9307, 6839, 9288, 3281, 1181, 8233, 2415, 3993, 6757, 863, 2487, 6829, 5626, 1888, 5105, 6146, 2197, 6318, 4984, 8043, 5474, 979, 8286, 3009, 821, 7208, 5383, 7331, 6968, 5978, 2483, 9161, 8185, 4555, 6236, 8001, 8710, 7471, 9205, 1521, 4386, 9788, 6344, 5544, 8195, 4512, 1058, 1488, 8852, 2055, 6384, 5326, 2548, 396, 3810, 2639, 1575, 4825, 4969, 3368, 3595, 6074, 4100, 2505, 3396, 3588, 6677, 5428, 3446, 4425, 9109, 408, 8103, 9899, 4866, 3578, 4491, 7246, 7834, 8947, 7244, 1749, 8608, 8035, 1441, 6600, 8691, 5388, 5441, 9367, 732, 480, 867, 8085, 2419, 6607, 2048, 5379, 9898, 5210, 7788, 2225, 53, 7752, 3845, 2432, 1117, 3107, 3253, 738, 5124, 6490, 3058, 6875, 3524, 6299, 4058, 9080, 9586, 1544, 8025, 3982, 2245, 7957, 1217, 9831, 4667, 4950, 5161, 6794, 2078, 3525, 5463, 7184, 9049, 6316, 2093, 4737, 8168, 9067, 9927, 7382, 3259, 9088, 5664, 6881, 8941, 9512, 2948, 2070, 3889, 6945, 1731, 4827, 1238, 7768, 9646, 7801, 3019, 8999, 3636, 3657, 67, 5811, 3115, 9970, 6357, 5284, 6498, 5486, 5644, 2092, 51, 4160, 3783, 5548, 9503, 9302, 364, 1237, 2362, 1826, 1209, 1253, 2932, 9847, 1087, 2939, 3377, 8580, 6694, 724, 8440, 8540, 2217, 783, 1908, 5885, 2286, 8281, 3939, 9613, 7202, 3918, 8600, 8104, 4642, 4611, 9968, 7872, 8261, 4002, 3625, 4600, 9571, 3843, 31, 8722, 2166, 2593, 5842, 6678, 4273, 8893, 4026, 2145, 9283, 2135, 1764, 7034, 6979, 6700, 7335, 4541, 1553, 6196, 1274, 7024, 9400, 5344, 5250, 7835, 2295, 6731, 2879, 3068, 8842, 5632, 2896, 1411, 4224, 1133, 4293, 3703, 3370, 5385, 6018, 6889, 8406, 799, 8957, 256, 7778, 5881, 5930, 5438, 9663, 2358, 6522, 1992, 631, 6612, 432, 1818, 4550, 2616, 7252, 1438, 3789, 6485, 5319, 4086, 1116, 4166, 9926, 3551, 5289, 9520, 3015, 2777, 3740, 1320, 3856, 7679, 8033, 8715, 5128, 8658, 2671, 8353, 5927, 575, 4802, 5565, 2179, 6911, 3622, 7875, 7649, 2007, 93, 6366, 7662, 2327, 3907, 1864, 3227, 1479, 1757, 9407, 1822, 5750, 8755, 6245, 4508, 6877, 3244, 901, 1472, 9421, 1679, 6212, 5649, 2779, 4472, 6478, 7995, 7544, 8630, 2167, 1161, 3366, 6750, 9414, 7014, 3226, 92, 3429, 8127, 7653, 5191, 7694, 4263, 9787, 2664, 7122, 1925, 6840, 1866, 8496, 6951, 7506, 1910, 4255, 75, 2266, 8190, 2576, 743, 2446, 4982, 4947, 410, 9814, 1927, 4946, 649, 719, 6039, 5348, 525, 2114, 1239, 8379, 5763, 6068, 6882, 7996, 9931, 9299, 3000, 847, 7628, 8099, 2545, 4995, 6448, 6472, 1145, 6457, 3567, 6774, 4626, 782, 7225, 4836, 6302, 9739, 4191, 1867, 2807, 1024, 7362, 7578, 4746, 2013, 3787, 6620, 8039, 9676, 4143, 5125, 9871, 4482, 4962, 5075, 8289, 5507, 1761, 7470, 570, 4169, 4578, 6037, 9886, 3347, 9356, 7985, 5971, 2600, 4607, 7039, 9766, 3180, 4551, 6176, 1174, 7044, 4731, 9154, 9907, 2563, 9819, 3611, 6561, 3557, 7183, 1837, 8729, 45, 3439, 173, 9244, 3008, 5151, 8028, 4989, 8268, 7780, 2814, 3279, 5898, 9878, 7280, 1490, 7145, 1049, 5958, 1657, 7871, 3858, 2306, 6138, 9060, 8603, 1530, 9035, 5812, 3086, 7418, 6064, 762, 3465, 2, 4537, 2232, 1890, 8647, 3938, 3836, 3345, 1918, 8128, 4849, 8998, 4544, 4362, 8589, 6144, 2901, 4167, 2843, 7560, 5273, 2965, 9064, 3958, 2421, 6240, 3672, 8937, 9001, 4868, 3495, 1957, 7921, 1770, 553, 3874, 630, 6325, 5849, 5001, 5619, 4144, 1947, 5031, 4988, 4121, 2859, 9757, 1993, 4843, 6751, 6707, 2627, 6803, 4040, 2988, 9489, 3358, 2234, 4837, 5081, 7728, 2726, 5613, 2258, 537, 7661, 7042, 2541, 7997, 9587, 7840, 5880, 9873, 885, 309, 807, 8071, 7926, 2643, 2892, 2423, 5343, 2022, 8150, 4117, 7821, 9440, 4775, 9476, 3346, 296, 1750, 5175, 2148, 3730, 7523, 9620, 5846, 40, 2395, 6644, 496, 3957, 3369, 2650, 2503, 2805, 2399, 4604, 5652, 3582, 1605, 19, 9854, 84, 8000, 7931, 9468, 8052, 3327, 4432, 1693, 3777, 6282, 1566, 1532, 8317, 8031, 4147, 4396, 6569, 3289, 2509, 6301, 5762, 7559, 9215, 9938, 4016, 4750, 5937, 6247, 6238, 6434, 1980, 1621, 4975, 3353, 1331, 9018, 6649, 1480, 9403, 2942, 3834, 9917, 8132, 3448, 1069, 5623, 4131, 7263, 2178, 3516, 3910, 3684, 3606, 3898, 290, 6723, 7513, 3408, 2402, 3121, 8644, 9446, 5926, 4475, 7562, 5264, 2384, 915, 1194, 3715, 7232, 4678, 7909, 1062, 5522, 1538, 3956, 905, 8490, 5667, 2680, 8570, 2547, 7222, 1842, 1077, 8901, 5537, 4785, 6505, 1792, 4765, 2748, 6621, 2240, 1203, 2469, 9349, 4964, 2403, 7691, 1802, 7287, 9929, 4655, 4503, 5360, 6869, 4729, 3615, 5046, 1466, 7920, 8701, 8661, 3486, 8555, 6760, 9355, 2015, 1989, 9841, 366, 8820, 2239, 1625, 3301, 1823, 1248, 1535, 8829, 478, 8455, 1036, 1164, 9128, 3054, 6477, 7155, 2375, 1964, 4313, 3172, 9413, 961, 8186, 2649, 4809, 8257, 2526, 5416, 8777, 6918, 7735, 7571, 4104, 5211, 3265, 8622, 2208, 1322, 2499, 1719, 4341, 2410, 8581, 3246, 5460, 79, 8462, 9575, 3251, 3775, 4518, 6191, 5804, 2404, 4617, 5732, 1526, 5346, 6209, 1445, 5784, 4912, 329, 4844, 607, 4043, 3963, 6739, 6112, 5350, 4621, 6781, 675, 6307, 5571, 4707, 7593, 9417, 2353, 3171, 4014, 348, 1772, 5254, 1126, 4053, 1451, 5879, 7004, 5690, 9732, 8509, 9888, 3139, 3960, 9729, 4952, 201, 8515, 299, 8664, 4941, 9470, 4864, 4069, 485, 1359, 6474, 4068, 2103, 6745, 474, 9839, 8126, 8863, 3124, 5220, 4933, 6518, 9365, 2993, 6438, 2269, 419, 4521, 5674, 488, 4494, 4606, 9389, 768, 1394, 4452, 9387, 1568, 4744, 8408, 2227, 1504, 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722, 110, 2784, 5577, 3445, 4811, 2500, 3275, 8365, 1656, 7971, 636, 5197, 8544, 2311, 9655, 7863, 9360, 3842, 1045, 4884, 7180, 9165, 5146, 5559, 775, 1150, 7939, 5692, 4450, 7923, 8864, 2791, 1969, 2764, 971, 4145, 8308, 9135, 4906, 3184, 6362, 1922, 274, 8242, 2315, 9363, 7960, 5202, 3592, 1791, 669, 7510, 8416, 5888, 3061, 7198, 6567, 9895, 9609, 4178, 8548, 4664, 5371, 7479, 5156, 973, 8436, 2426, 934, 297, 1547, 3966, 5496, 7534, 3621, 1272, 8003, 1328, 6432, 8215, 1352, 2210, 3158, 119, 1820, 8886, 7485, 1976, 193, 7241, 7855, 3221, 678, 3561, 8161, 1319, 78, 6923, 3378, 5718, 7761, 98, 210, 3623, 6752, 7146, 9207, 2023, 6906, 126, 2902, 6338, 4382, 9113, 6538, 8577, 6335, 5245, 1713, 9750, 441, 23, 8495, 2163, 1135, 617, 8429, 5291, 5912, 2560, 2530, 2955, 2973, 8896, 4353, 4886, 4285, 2904, 7318, 2723, 7599, 1973, 7915, 688, 4584, 7081, 8407, 7117, 9559, 7647, 616, 8642, 4716, 9029, 33, 7505, 7696, 2332, 2635, 1446, 6838, 7322, 8838, 2321, 6648, 1854, 455, 6385, 6417, 7072, 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7460, 3456, 609, 2974, 682, 7515, 725, 918, 5646, 5132, 2475, 1036, 6381, 4067, 6478, 2349, 4, 2526, 8050, 2907, 7269, 3091, 9331, 8062, 5079, 6614, 62, 1658, 3840, 2538, 4069, 6967, 1484, 1488, 8502, 3960, 1343, 3244, 6774, 6801, 8424, 7427, 6617, 6368, 7724, 4385, 4051, 1580, 5455, 6732, 605, 7242, 9800, 7630, 5660, 721, 6032, 8438, 681, 6521, 9578, 1301, 2358, 3849, 401, 7539, 9541, 6131, 7537, 3428, 6419, 5941, 5577, 8361, 6454, 2864, 2928, 14, 5790, 3432, 7235, 7714, 7680, 6291, 5730, 768, 3236, 6404, 2001, 802, 7824, 5384, 2096, 337, 9474, 3783, 6602, 8416, 6010, 5199, 8452, 962, 41, 3085, 459, 8150, 7064, 6427, 9419, 118, 675, 5598, 8233, 7300, 3833, 3294, 1208, 5393, 2971, 3609, 8447, 3969, 6115, 347, 6017, 9555, 2671, 8024, 1199, 2081, 8963, 8866, 269, 5795, 8333, 7863, 440, 9004, 1479, 5236, 9057, 1271, 1398, 9525, 4695, 4518, 3745, 683, 528, 3517, 3208, 8149, 765, 3900, 8094, 8199, 1174, 7582, 5624, 1071, 5099, 3779, 1039, 4325, 9542, 846, 6223, 5436, 7355, 9124, 3179, 5928, 3300, 8002, 3828, 7671, 2132, 3830, 2270, 5861, 4647, 1569, 4515, 5262, 9070, 7107, 5845, 4428, 6676, 188, 4136, 5654, 9037, 5505, 9191, 9018, 2047, 7190, 8081, 5415, 7563, 8747, 3267, 4083, 7168, 449, 4759, 7155, 470, 2893, 1993, 9363, 9812, 2878, 5440, 6766, 5189, 9395, 5140, 7879, 3511, 4234, 6889, 1502, 4296, 5770, 458, 8365, 6366, 9159, 351, 882, 2473, 6524, 1804, 8536, 7230, 4133, 8451, 131, 4363, 8492, 5566, 1006, 2713, 3883, 6216, 1341, 2738, 3899, 7626, 8598, 6719, 4906, 7670, 7939, 1650, 5310, 2773, 25, 2214, 2247, 5647, 6080, 4722, 1187, 1350, 7234, 9831, 1808, 389, 2246, 368, 5363, 5526, 723, 3366, 8723, 5959, 2382, 9065, 6742, 2357, 9591, 1842, 5760, 4471, 432, 4831, 5293, 1703, 6464, 578, 4066, 8461, 9767, 6687, 1294, 9044, 7196, 6400, 7115, 5669, 711, 5508, 8331, 4503, 734, 8262, 1831, 1149, 8956, 6144, 1206, 9005, 6262, 2446, 3770, 1034, 3650, 2139, 1678, 4068, 6208, 180, 7693, 8302, 3579, 165, 7604, 1780, 4065, 4756, 8896, 4807, 2221, 6841, 1393, 5185, 4207, 4643, 6447, 5990, 6888, 5512, 3196, 3079, 1037, 4026, 6829, 9566, 3086, 8714, 4097, 5807, 4285, 4847, 3192, 1991, 1183, 5187, 1927, 899, 7490, 7623, 6720, 3677, 3301, 3382, 8391, 6266, 1619, 5047, 2171, 7661, 132, 8429, 431, 2536, 3239, 7151, 2903, 4630, 7752, 7827, 2755, 9352, 7868, 6207, 2021, 2372, 2418, 9011, 7194, 9905, 9387, 5949, 9945, 7134, 8505, 4108, 5503, 6979, 2860, 5486, 4094, 900, 3018, 6315, 2545, 6527, 1417, 8465, 2387, 3258, 5261, 5936, 1908, 304, 7022, 3832, 4372, 4824, 4523, 9220, 4586, 6277, 3190, 799, 3213, 7613, 4096, 9456, 2343, 2363, 7014, 3670, 387, 792, 3113, 8359, 6385, 1375, 7966, 1972, 2023, 8098, 1758, 7431, 9068, 3877, 5985, 5897, 3981, 4348, 7288, 8000, 3718, 5053, 1700, 6193, 8921, 9550, 2676, 2407, 3618, 5826, 8038, 8399, 1057, 7802, 9455, 8266, 7114, 8630, 6467, 7437, 2019, 562, 1821, 9314, 5522, 6250, 825, 2191, 7049, 7970, 7566, 7841, 947, 2428, 1386, 3025, 2476, 2964, 134, 5211, 7662, 4110, 6012, 1347, 9149, 9366, 9645, 8133, 5066, 7268, 4661, 1366, 7045, 5376, 313, 8710, 6061, 1372, 6363, 5918, 2305, 1048, 4299, 9097, 9388, 1132, 2693, 7986, 3184, 5524, 3942, 6955, 6937, 8250, 4286, 2892, 8754, 2960, 1783, 4224, 6401, 4271, 5957, 3186, 4055, 2649, 1074, 910, 184, 1207, 1866, 6868, 6532, 8026, 5865, 5981, 5283, 2339, 8990, 2160, 9470, 4878, 6146, 7981, 1536, 5772, 2228, 1938, 7365, 3801, 6887, 7636, 580, 433, 8559, 1379, 8345, 2101, 3696, 248, 1728, 1778, 7124, 5378, 5965, 6497, 896, 4386, 6459, 8488, 6121, 5405, 2675, 7704, 6466, 6754, 5131, 749, 7919, 2652, 8099, 4737, 5246, 3676, 2704, 1281, 7759, 1280, 4772, 6984, 5048, 8586, 8777, 1829, 3651, 290, 7952, 199, 5103, 9030, 7560, 7385, 4212, 1161, 914, 8674, 1256, 6629, 7083, 3691, 8425, 4927, 4764, 512, 6848, 869, 8961, 5722, 8597, 6757, 2577, 8788, 1523, 1801, 4758, 3177, 2719, 8156, 5603, 9129, 6961, 2134, 1446, 6590, 3199, 7873, 3224, 7923, 1882, 5595, 1982, 7745, 5027, 3531, 2007, 6240, 2388, 8001, 5039, 8808, 6679, 7110, 660, 6540, 2558, 1311, 1693, 8444, 3886, 246, 6445, 360, 2125, 9872, 6394, 1745, 3694, 7244, 3518, 6768, 5659, 7055, 7210, 1880, 6264, 1807, 2819, 5353, 3178, 7527, 965, 4143, 6857, 6051, 9113, 397, 6483, 5967, 7823, 3127, 1995, 7962, 1573, 1578, 4793, 5679, 7906, 6122, 4899, 735, 4377, 2458, 5964, 7131, 211, 3796, 1072, 6060, 7453, 6280, 9180, 7294, 1212, 4210, 9768, 2398, 2176, 7397, 2110, 3827, 3051, 4955, 7834, 5017, 6298, 1356, 8205, 8856, 276, 9886, 7487, 4169, 8222, 6912, 4389, 7275, 9079, 61, 9894, 4659, 7430, 6209, 6398, 8520, 4768, 4924, 9732, 3800, 4956, 4621, 9184, 9458, 8721, 4914, 5518, 4845, 4059, 423, 6552, 5773, 6116, 4866, 4291, 1664, 4703, 1278, 353, 8183, 3442, 9836, 7902, 6956, 1295, 9404, 5077, 4226, 7312, 3174, 2918, 129, 2304, 3444, 3580, 278, 9709, 3730, 4852, 3843, 2324, 5785, 6489, 6652, 6415, 9944, 8554, 2731, 7655, 2604, 4711, 78, 5421, 522, 2115, 2431, 3072, 8367, 6872, 4235, 202, 1765, 464, 9437, 441, 3521, 8644, 4567, 1371, 1577, 7034, 2252, 975, 992, 6356, 1273, 7953, 38, 4401, 436, 4823, 2074, 499, 7403, 3011, 8321, 9582, 2602, 9150, 624, 6219, 5955, 3336, 2876, 102, 1032, 3340, 7532, 6502, 2607, 9696, 3699, 5876, 5819, 3291, 3443, 4438, 4357, 3201, 6482, 4720, 3513, 2728, 9021, 7414, 9237, 9615, 8779, 3344, 1129, 3505, 6288, 2048, 2882, 7476, 2845, 6722, 4988, 3280, 6785, 7697, 1607, 3945, 6695, 1408, 1377, 7255, 656, 8338, 9422, 142, 7420, 4803, 409, 8256, 7351, 8203, 560, 7713, 8198, 6110, 3123, 1525, 5871, 8119, 8606, 8769, 8887, 2347, 5248, 8918, 2669, 2796, 4813, 822, 4140, 9072, 8624, 2865, 7543, 9471, 2201, 3298, 7899, 3692, 5380, 9239, 5332, 8941, 674, 7185, 4481, 1328, 8423, 9242, 6686, 4820, 2146, 1225, 114, 5925, 9111, 795, 7060, 7166, 9402, 5980, 6941, 7648, 2464, 8197, 3798, 829, 9126, 4406, 3140, 7353, 3516, 5111, 1304, 8590, 1323, 6169, 6362, 2409, 1883, 7246, 1622, 4951, 6747, 6091, 9193, 9850, 6030, 6152, 554, 2898, 1263, 6914, 1513, 3221, 1495, 5532, 4309, 5831, 3247, 3318, 5389, 9764, 3645, 8231, 9737, 6296, 5083, 2018, 8171, 5715, 2091, 1441, 1461, 4084, 5447, 4542, 8636, 6807, 6469, 9743, 7908, 377, 8046, 9172, 1459, 5172, 3710, 2480, 8734, 891, 8805, 7948, 588, 3438, 944, 9805, 9194, 1010, 4980, 5635, 7207, 2318, 6927, 7192, 8027, 5490, 3835, 2192, 198, 1237, 3593, 3115, 3829, 5388, 7066, 5232, 4584, 3439, 7337, 6063, 1218, 551, 5469, 4043, 5666, 1785, 8241, 5433, 4668, 787, 6996, 780, 4056, 359, 1172, 6345, 8728, 6256, 756, 7794, 778, 9964, 1217, 6733, 150, 5721, 2166, 2294, 465, 6044, 444, 8744, 6635, 2836, 8343, 7493, 8153, 4052, 2753, 7711, 632, 4444, 2884, 6285, 226, 7111, 1349, 5815, 2804, 8176, 5181, 8378, 7227, 1969, 3321, 1914, 7018, 1145, 6681, 2068, 3891, 4970, 7599, 9287, 7153, 4884, 7221, 2737, 8595, 574, 933, 3435, 3557, 676, 2888, 9119, 8570, 124, 3180, 1973, 4058, 1392, 5256, 4599, 317, 4858, 8217, 7392, 2370, 2029, 2811, 4975, 628, 1204, 6902, 2210, 11, 4928, 701, 2955, 811, 1344, 3672, 6019, 783, 7553, 7791, 640, 6770, 1348, 1239, 6200, 3378, 7482, 5429, 205, 5667, 4610, 8076, 9982, 9449, 9634, 1789, 36, 6052, 2891, 5588, 5691, 3043, 4978, 8056, 8275, 7062, 2196, 4279, 4966, 6701, 3879, 3775, 5438, 5640, 9010, 9187, 6148, 9915, 7596, 3143, 2566, 393, 7463, 9024, 9731, 1988, 6490, 3469, 8014, 7132, 6828, 567, 6133, 526, 17, 5716, 3543, 6793, 4382, 3893, 1082, 7051, 5324, 6790, 1086, 7826, 7595, 6890, 6685, 9976, 2124, 3323, 1903, 654, 8524, 7229, 2265, 7509, 1587, 3747, 1977, 6690, 2791, 5559, 8729, 8482, 9066, 8650, 5699, 9198, 1127, 9643, 6797, 8531, 8334, 7878, 8170, 6173, 6111, 1041, 9516, 9256, 9861, 2668, 7186, 2902, 2750, 6027, 1913, 375, 8894, 3917, 9668, 4396, 4566, 5202, 9914, 87, 8327, 362, 934, 6428, 9247, 1209, 2908, 4023, 830, 4909, 5536, 7577, 6735, 6594, 210, 9412, 8541, 6789, 3578, 7999, 7215, 3194, 5719, 8063, 7117, 2512, 1895, 7558, 7362, 967, 1444, 8899, 3304, 3853, 8668, 8440, 9183, 4112, 8132, 3660, 5776, 3331, 8039, 9208, 1466, 3943, 6300, 2233, 8379, 1004, 9493, 8304, 6000, 7914, 1985, 4991, 5746, 9736, 627, 1497, 4651, 1195, 9655, 2560, 9376, 1708, 5291, 1433, 94, 907, 1551, 4101, 9690, 4891, 9961, 7912, 4855, 7206, 7305, 977, 1933, 4664, 4179, 3729, 4749, 6255, 8790, 5212, 4611, 6613, 8037, 9330, 3564, 7232, 7753, 9925, 7483, 9147, 2285, 3000, 797, 7557, 2584, 5240, 2424, 3831, 6384, 7522, 9806, 9862, 3541, 9000, 3064, 6537, 6526, 7007, 2456, 2527, 1524, 3717, 9758, 1352, 5419, 7773, 3404, 1261, 928, 170, 3163, 2151, 1451, 5682, 4202, 1515, 4939, 3868, 9362, 8670, 8589, 7488, 5706, 3512, 8844, 402, 92, 6624, 2528, 9971, 8311, 5005, 7136, 9130, 9155, 3681, 6595, 1770, 4284, 4467, 273, 8404, 1442, 2808, 7212, 52, 7222, 9434, 4856, 3081, 9277, 9665, 6583, 5548, 8052, 2550, 4431, 4080, 575, 1965, 7123, 5856, 1563, 4188, 4728, 9167, 8064, 2354, 3728, 5623, 5090, 3604, 2455, 4812, 957, 2275, 1739, 2800, 2311, 3271, 5523, 7830, 1443, 3547, 7575, 9681, 7934, 7961, 6510, 392, 4953, 403, 7296, 6294, 2830, 8350, 9406, 8503, 1364, 1665, 8820, 976, 8354, 144, 366, 2421, 3020, 5922, 763, 1952, 363, 4974, 1744, 42, 1614, 45, 8242, 415, 3931, 3362, 6105, 9760, 862, 65, 7142, 1135, 6201, 3448, 1160, 6034, 5837, 3723, 3990, 5735, 6741, 6450, 3584, 8074, 2470, 4874, 2663, 9221, 2763, 1465, 7705, 2934, 8591, 3946, 937, 2185, 9734, 4537, 5271, 7610, 3687, 9549, 2909, 120, 3475, 6135, 6292, 1453, 8715, 5437, 5648, 1967, 1083, 2587, 6205, 9816, 8483, 6369, 6221, 6484, 1975, 6944, 532, 7822, 4485, 6420, 7257, 4714, 4699, 6389, 8651, 7407, 1586, 6508, 7974, 220, 2406, 916, 2002, 8006, 5498, 9036, 3367, 2571, 8700, 3523, 7447, 1236, 7415, 6632, 1781, 9867, 6395, 8204, 7819, 3241, 2355, 2915, 8804, 1857, 4700, 1098, 4597, 3109, 4653, 8730, 9686, 1382, 610, 8510, 9380, 2264, 5515, 9207, 9497, 7776, 1291, 693, 3788, 1116, 2816, 9522, 6059, 1114, 7771, 8022, 6170, 4908, 3372, 8297, 4559, 958, 1809, 7763, 2610, 611, 8869, 54, 1696, 6304, 2234, 892, 1219, 4327, 5266, 3089, 524, 4861, 6342, 752, 2088, 3740, 9963, 1656, 1556, 8472, 1033, 1595, 6640, 7113, 7606, 1334, 6308, 2949, 9671, 761, 6522, 8521, 6081, 7053, 1346, 6213, 4077, 3896, 7175, 9952, 9310, 8738, 7048, 5063, 493, 103, 9142, 8889, 7176, 1494, 1670, 9934, 902, 6916, 4240, 3598, 8226, 4679, 2187, 3129, 2987, 7367, 4128, 7218, 6374, 5656, 3559, 6025, 6991, 8911, 1715, 9117, 3437, 6, 7947, 7672, 4598, 5320, 9214, 4033, 5570, 7072, 8794, 264, 5217, 3493, 1826, 3935, 4419, 8895, 2328, 6411, 7032, 3712, 5002, 215, 745, 7251, 9500, 271, 3232, 4000, 3991, 5606, 6573, 4462, 1201, 429, 9386, 8179, 668, 5160, 6021, 8832, 6194, 9238, 8969, 6229, 7061, 4865, 2626, 7632, 1115, 6767, 874, 4088, 6334, 9209, 9118, 3948, 9558, 9853, 8924, 9948, 7273, 418, 643, 6371, 8660, 6849, 7333, 369, 2698, 4729, 1002, 2113, 8544, 7202, 9327, 5427, 384, 3450, 8398, 9045, 7725, 2700, 2507, 469, 5100, 4802, 5432, 9367, 633, 6254, 1955, 7836, 233, 2209, 3755, 7130, 9268, 9428, 2319, 2825, 9034, 2036, 208, 938, 6293, 5697, 2426, 2759, 9868, 6987, 8409, 2815, 8193, 1001, 7435, 3297, 2102, 5569, 7358, 4575, 6951, 7569, 8140, 9472, 8791, 1097, 5104, 917, 6925, 5652, 7542, 1163, 4366, 348, 5740, 8933, 5134, 7828, 5157, 4840, 3134, 4047, 920, 9211, 3477, 2697, 5756, 6657, 4072, 8469, 495, 2919, 2112, 5626, 367, 1795, 9478, 9495, 8892, 8944, 5059, 3721, 9599, 6388, 8107, 4556, 1170, 2646, 1023, 8135, 3391, 280, 6349, 8532, 7506, 8277, 6041, 466, 5620, 3383, 8178, 7657, 8939, 6706, 9958, 5868, 8575, 380, 6772, 4429, 3491, 8551, 7193, 784, 2235, 5055, 4568, 2433, 6035, 4967, 8435, 5894, 8875, 1383, 139, 3189, 2553, 7233, 56, 7792, 9802, 7320, 7419, 7308, 6453, 5742, 4495, 2979, 4150, 4093, 1960, 8364, 571, 4810, 3023, 6639, 6985, 3958, 5227, 824, 7535, 8680, 3128, 3649, 3705, 4221, 4972, 8036, 2375, 8260, 8190, 1705, 584, 128, 9657, 3305, 255, 7913, 7783, 2770, 3819, 2944, 9410, 5677, 31, 7284, 1229, 2576, 4919, 1425, 8695, 4569, 7054, 7534, 224, 7881, 3560, 166, 3002, 2543, 3348, 5029, 2682, 7282, 2947, 1779, 8971, 2262, 9938, 3316, 1427, 7270, 6507, 5754, 1552, 2648, 1790, 7180, 5230, 1827, 4261, 7529, 9589, 2789, 229, 7695, 8406, 4009, 7454, 505, 8127, 1531, 4073, 9073, 9438, 7489, 2301, 9778, 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3389, 7528, 4362, 6099, 2568, 8956, 1346, 8056, 5849, 3533, 6520, 9167, 640, 1379, 4239, 5262, 5615, 5426, 2469, 6881, 1156, 8987, 1034, 4443, 9933, 7272, 6464, 870, 6735, 8110, 6676, 6962, 9792, 5108, 8130, 3312, 4384, 4838, 3214, 7228, 8150, 1291, 5980, 8705, 929, 1942, 4391, 4729, 6631, 5927, 757, 1663, 2280, 7067, 5618, 7661, 5094, 707, 7227, 6772, 6069, 6893, 6742, 9422, 4369, 7942, 5375, 9281, 7937, 5812, 305, 2492, 5498, 973, 1964, 54, 3418, 3721, 178, 9720, 4478, 9607, 4294, 6739, 3804, 548, 6683, 6032, 2478, 8862, 6519, 4891, 4312, 5569, 3354, 5333, 2049, 3790, 598, 112, 6584, 4918, 4040, 7382, 6630, 179, 1417, 4682, 528, 5816, 2498, 3157, 5759, 7663, 7141, 5539, 3137, 5277, 8167, 6593, 8120, 2279, 9039, 7326, 7206, 2165, 6271, 3634, 5023, 2727, 3486, 6489, 752, 5363, 3021, 2553, 7615, 387, 7777, 5207, 4937, 4878, 3260, 3887, 2954, 2224, 7544, 2431, 6695, 2164, 87, 5361, 8129, 4355, 7849, 8786, 2846, 3291, 454, 3322, 7938, 3893, 3072, 2348, 6388, 2118, 6590, 7664, 618, 4044, 8030, 1368, 2061, 8446, 4193, 7116, 9845, 4949, 5033, 910, 3779, 922, 5502, 3321, 3295, 7837, 6882, 5231, 544, 7310, 2126, 6170, 1569, 3306, 1474, 6007, 7536, 5803, 8389, 8148, 8710, 3982, 7541, 981, 417, 1571, 5152, 6979, 621, 791, 8735, 8185, 2218, 139, 9589, 6617, 8946, 1058, 3916, 5629, 4236, 4649, 7253, 6620, 6597, 7804, 6473, 6017, 8208, 2231, 1531, 7943, 5624, 4776, 2583, 5119, 2306, 4593, 822, 8152, 3791, 8053, 2287, 4231, 4554, 9057, 5663, 557, 4468, 3913, 2912, 4863, 4459, 7651, 5443, 3565, 4655, 7700, 6197, 4402, 5939, 7169, 1943, 5600, 8332, 2539, 6838, 8068, 8772, 8585, 753, 3148, 5690, 2831, 1214, 5229, 2777, 5841, 4675, 9109, 2675, 4587, 5253, 859, 4154, 8323, 5404, 2822, 1040, 6158, 1383, 4999, 940, 4053, 3769, 7160, 1043, 2860, 7666, 1212, 2059, 1065, 9634, 9943, 4963, 4771, 2427, 4444, 4924, 5138, 3280, 3551, 4087, 5165, 9402, 7836, 942, 2504, 1673, 6433, 8222, 403, 3611, 4486, 6162, 6569, 2407, 6697, 8916, 2219, 5699, 7967, 4685, 1615, 4075, 6187, 2502, 5018, 4254, 2333, 6845, 2503, 8470, 6608, 2997, 2157, 7450, 9356, 5813, 2240, 5912, 5353, 5084, 5789, 6218, 1503, 644, 2468, 6080, 5322, 4439, 2097, 6055, 2650, 6604, 4721, 6190, 4205, 3471, 2234, 5601, 8067, 4399, 8076, 4984, 7385, 2922, 1730, 5408, 8166, 1335, 5568, 4323, 5285, 1627, 6929, 1824, 5185, 8005, 362, 6542, 4255, 7172, 8365, 4410, 2769, 1020, 4297, 5751, 388, 7835, 5351, 8598, 8231, 5753, 7212, 4150, 6406, 5104, 2262, 7606, 3782, 5395, 6899, 1851, 8919, 6961, 1734, 1160, 6727, 8998, 6242, 7285, 7797, 7262, 143, 5721, 2308, 4803, 5738, 8373, 364, 725, 5933, 2509, 8727, 2022, 3622, 3382, 6561, 3767, 6400, 6458, 2881, 4901, 7859, 4321, 1293, 2031, 7299, 849, 392, 7521, 265, 6114, 6450, 6535, 128, 5868, 6376, 5997, 2732, 1075, 4543, 2154, 9098, 1813, 3531, 8309, 1377, 4509, 5241, 6494, 6423, 2770, 7922, 2186, 2711, 7349, 908, 6517, 8789, 8920, 1979, 8451, 3114, 9040, 8574, 3018, 535, 6365, 475, 2440, 8984, 1240, 9153, 6118, 3445, 3285, 4657, 1985, 5829, 1604, 7038, 7303, 1927, 3175, 785, 4634, 5360, 9523, 337, 1556, 3370, 6284, 898, 8757, 2495, 9117, 4238, 3648, 2054, 5260, 4139, 7844, 9308, 6417, 346, 0, 1260, 7439, 2178, 508, 3594, 5596, 3748, 8820, 2330, 3427, 3931, 350, 6383, 990, 7408, 5570, 3801, 3647, 4607, 172, 1697, 4734, 2386, 2042, 1989, 2523, 4506, 4582, 6356, 13, 6070, 4376, 9811, 8325, 9022, 7683, 3198, 4998, 1470, 2324, 2948, 5806, 6074, 5335, 4164, 2464, 292, 2882, 6571, 3547, 3350, 572, 3548, 2110, 3959, 8196, 5830, 1026, 5030, 5026, 2771, 4265, 3483, 1856, 6743, 4247, 1546, 376, 1771, 9951, 5898, 7667, 7409, 9169, 4415, 4472, 1655, 191, 6077, 3999, 1690, 418, 799, 5899, 6690, 6012, 6362, 9035, 7970, 6456, 6896, 2307, 3878, 6978, 617, 5236, 4621, 7288, 810, 3803, 2233, 6093, 5766, 6894, 5455, 8402, 9603, 9340, 7384, 1229, 2999, 7029, 8177, 4462, 9015, 909, 2880, 9206, 3961, 2700, 7884, 585, 1715, 2202, 3663, 6581, 7990, 3914, 5459, 3294, 7591, 2380, 9588, 6000, 7086, 8934, 1424, 1692, 4941, 4452, 4697, 1573, 1587, 1053, 700, 1376, 941, 6766, 4638, 4902, 3967, 8886, 1486, 4281, 3628, 9957, 5089, 5935, 9100, 4973, 1519, 2268, 2011, 6982, 8726, 1523, 4080, 5945, 8497, 72, 8398, 8621, 6885, 3163, 9744, 2661, 3541, 7247, 1504, 626, 7448, 3210, 911, 1155, 5072, 8040, 4862, 2887, 3017, 1441, 5439, 8080, 2291, 6491, 1241, 5228, 3036, 7730, 7357, 6926, 6477, 9002, 705, 9851, 9522, 8431, 8018, 9542, 2791, 8494, 9165, 7442, 8600, 4293, 4305, 2337, 7085, 3145, 4832, 2879, 1724, 8864, 5711, 9524, 4170, 2276, 880, 1327, 1244, 2356, 9717, 5741, 5932, 3477, 2781, 8266, 1567, 8917, 7341, 7648, 3608, 4061, 7854, 5638, 5488, 4683, 1491, 1823, 9305, 1330, 8031, 9066, 6268, 830, 7743, 3676, 825, 5717, 3075, 5883, 4475, 5954, 3789, 1924, 8565, 7198, 2526, 9080, 7245, 490, 1254, 6315, 2817, 641, 3643, 9409, 5556, 5339, 7388, 1612, 5614, 3825, 5132, 1117, 5077, 1872, 5675, 933, 6432, 8738, 2787, 433, 6623, 692, 967, 6600, 4315, 2603, 7168, 2001, 4155, 9183, 3274, 7084, 7504, 6348, 3830, 7170, 2993, 6958, 8905, 6826, 6780, 681, 3978, 7629, 7380, 3332, 2834, 6264, 6485, 8706, 901, 1114, 5637, 9380, 4781, 1792, 4498, 789, 5894, 2758, 2192, 1338, 2843, 6709, 5873, 5266, 5112, 3880, 320, 5835, 5688, 5999, 1322, 982, 5904, 7203, 7277, 6303, 8584, 5832, 8854, 4907, 8229, 8009, 7459, 5004, 5922, 7996, 4925, 1437, 9222, 4340, 3102, 4558, 4627, 3463, 5834, 2904, 4846, 5843, 3553, 7233, 3303, 8622, 8839, 5852, 6194, 6368, 5685, 7010, 8447, 7049, 4485, 1178, 399, 2294, 7919, 7314, 9721, 9030, 735, 5167, 4190, 5479, 6518, 6582, 4799, 4966, 1611, 3263, 7019, 8195, 2525, 5311, 7123, 1233, 7678, 7607, 6101, 5279, 5908, 7726, 3362, 5287, 7391, 4390, 6523, 6776, 807, 7376, 7864, 2451, 3871, 4358, 5224, 1515, 7313, 6251, 6545, 3459, 5062, 2624, 184, 3495, 7064, 1024, 4986, 3138, 3506, 1405, 1809, 6317, 5757, 5534, 7432, 4870, 1347, 4829, 7039, 3272, 4143, 8567, 9767, 173, 8666, 7773, 6482, 180, 7634, 7312, 2764, 1648, 3686, 29, 1744, 8147, 19, 7, 7507, 4464, 7511, 3076, 8468, 6793, 5038, 4243, 386, 3385, 1939, 3555, 8572, 4202, 4954, 2864, 4938, 5958, 1682, 9620, 91, 8771, 8792, 6022, 3119, 6522, 7899, 6382, 7689, 8289, 8860, 6124, 5844, 1302, 8915, 5319, 6262, 5054, 1303, 3939, 5881, 1700, 1846, 4768, 8982, 1562, 6043, 9468, 6121, 6016, 8902, 2560, 926, 566, 7290, 1220, 8537, 1218, 62, 4943, 2897, 5243, 1529, 9838, 4681, 6044, 1527, 5406, 1805, 7226, 3023, 5589, 3124, 5671, 5478, 4578, 7340, 4510, 9133, 23, 6265, 5211, 7445, 9097, 8890, 6255, 6028, 3747, 5186, 3172, 9507, 6189, 6664, 514, 4580, 2452, 2349, 4992, 2005, 5676, 664, 3672, 9214, 689, 2035, 7718, 3997, 4993, 2915, 5169, 5230, 47, 8614, 815, 9739, 6401, 2494, 4411, 6205, 8234, 9609, 3682, 1361, 7130, 4299, 14, 7588, 8504, 6244, 5822, 7589, 3092, 6822, 8690, 5809, 7410, 8533, 9756, 5232, 9645, 3232, 2315, 4932, 4517, 8344, 5317, 4352, 5482, 4764, 5475, 906, 2012, 6698, 6504, 2177, 8855, 2132, 9142, 5450, 7379, 7956, 8594, 6318, 84, 5158, 2991, 2707, 8990, 569, 8303, 7750, 9130, 296, 3812, 156, 5006, 3932, 9068, 5597, 5973, 4529, 7966, 141, 2630, 5346, 6058, 4110, 3910, 4926, 8385, 3386, 3754, 5205, 1239, 2640, 5146, 1879, 2295, 7195, 3742, 3206, 5652, 3891, 9554, 2210, 6756, 5064, 8374, 8971, 7390, 9287, 5126, 8336, 5120, 5780, 9083, 2029, 2483, 3400, 5762, 1419, 8415, 5425, 3906, 8216, 8605, 7008, 2779, 7693, 5244, 8503, 2167, 6942, 6940, 3590, 7569, 7289, 3609, 8395, 5646, 6267, 470, 2908, 3903, 9166, 5326, 3519, 3411, 6410, 742, 2885, 3772, 7081, 4186, 6682, 6056, 5808, 3726, 896, 9458, 4130, 912, 4490, 4020, 773, 2429, 7936, 739, 2987, 6502, 4133, 3101, 5890, 8718, 1033, 269, 590, 4994, 4062, 5988, 4513, 2346, 7218, 8136, 2919, 5650, 4418, 9765, 814, 4173, 1554, 6760, 1709, 695, 117, 2963, 1315, 6876, 9495, 6847, 2281, 5918, 4933, 3310, 7697, 5709, 6300, 5926, 8712, 8423, 4766, 2141, 786, 8884, 9982, 2570, 3600, 4563, 2168, 1395, 9598, 7092, 2274, 6950, 5058, 7352, 4548, 8118, 6553, 3839, 3524, 8888, 4727, 4209, 102, 5819, 5906, 3014, 8891, 6544, 6054, 1986, 7710, 5654, 571, 5848, 2216, 6085, 2601, 4750, 9724, 4740, 5781, 4636, 3432, 8399, 726, 8836, 3832, 3756, 1877, 8085, 2488, 5021, 7359, 2726, 9479, 1725, 5598, 3037, 7287, 5398, 4000, 5712, 9170, 7180, 3912, 7210, 2974, 7474, 4644, 2156, 4448, 7643, 5060, 3374, 3171, 2718, 1134, 5352, 885, 5763, 7765, 5742, 4065, 6131, 5946, 6100, 5667, 5249, 7989, 1552, 5626, 6849, 4200, 1247, 283, 8520, 2363, 5851, 8312, 3816, 2663, 9557, 2988, 3474, 709, 8604, 4165, 6805, 42, 7874, 736, 3337, 4903, 473, 410, 727, 9334, 2567, 1037, 5549, 4031, 3741, 9272, 115, 1788, 2738, 2458, 8286, 8974, 7940, 2226, 1958, 1228, 3687, 7255, 8, 1465, 2569, 946, 3447, 8337, 7365, 2848, 575, 2798, 3586, 2183, 2087, 3498, 5327, 6549, 3554, 4779, 1499, 4700, 851, 3870, 1835, 5591, 8921, 4867, 4637, 7847, 5497, 923, 3514, 238, 5171, 7842, 2176, 275, 3223, 1056, 3105, 6589, 8775, 6900, 8704, 2282, 4678, 2040, 8042, 6234, 5811, 6823, 2582, 4282, 43, 4011, 8764, 5418, 2263, 7893, 9191, 5188, 5210, 46, 8178, 8708, 5202, 3642, 2122, 718, 1428, 5256, 1384, 5275, 600, 1815, 5340, 2554, 2048, 2631, 5787, 7644, 5860, 3751, 4898, 9262, 9539, 3158, 1286, 4465, 6719, 5366, 9652, 660, 5823, 7617, 9733, 6862, 2242, 5386, 9141, 3027, 5666, 6325, 8991, 4167, 6531, 3351, 4802, 5972, 5411, 2809, 76, 2170, 407, 6360, 3116, 6157, 9388, 4635, 7296, 7395, 5420, 2318, 611, 7795, 2712, 2388, 4480, 4089, 336, 7030, 7628, 7083, 4958, 8160, 6134, 7444, 5632, 1506, 2815, 2051, 4950, 8752, 4957, 4014, 3673, 4606, 5593, 8575, 9802, 5009, 9271, 6670, 2152, 3265, 6462, 8050, 9143, 5390, 1154, 5113, 4541, 5151, 5105, 3572, 4004, 198, 7404, 9120, 6014, 352, 7428, 2098, 6479, 5679, 5985, 1749, 4908, 6150, 9540, 6228, 8058, 5786, 868, 8615, 3786, 8970, 1694, 919, 1232, 2322, 7491, 9268, 9071, 1838, 3413, 4114, 6004, 7455, 6703, 4725, 8333, 3618, 8397, 7031, 2618, 4610, 6438, 9662, 2994, 6610, 6339, 4335, 8352, 4575, 4696, 7831, 3048, 4951, 2794, 4169, 5861, 5540, 438, 1402, 9600, 5150, 9654, 9687, 8127, 4215, 5669, 2371, 8354, 8724, 5586, 7737, 7853, 263, 1289, 7215, 5992, 6895, 5919, 1049, 5767, 5447, 9314, 7022, 383, 8498, 6240, 2826, 1230, 9326, 8298, 7934, 1355, 2070, 3100, 3127, 6736, 7958, 570, 4654, 2742, 3684, 9189, 932, 5292, 5613, 3540, 606, 5953, 5797, 5838, 2874, 4659, 351, 7639, 5506, 5773, 5239, 3396, 4181, 2002, 661, 3154, 6009, 5519, 8230, 8612, 2068, 7766, 5100, 2891, 4813, 609, 4741, 6013, 2153, 2465, 6555, 333, 8200, 8617, 6008, 8627, 5913, 6916, 2836, 4125, 6936, 6412, 3375, 936, 9172, 1786, 3346, 9888, 2013, 8808, 9823, 3865, 1036, 9034, 9434, 130, 9938, 3002, 9076, 5489, 8599, 3434, 4304, 4333, 8215, 3130, 2833, 7440, 8272, 3844, 3635, 6434, 5707, 5356, 6117, 6852, 6113, 8429, 4928, 7695, 3696, 7435, 3107, 5561, 6864, 3341, 8883, 6748, 1006, 2374, 6860, 5345, 761, 5544, 98, 138, 2637, 330, 4843, 1796, 7532, 4078, 3922, 9783, 6503, 7269, 5764, 2635, 8773, 4328, 2936, 2249, 2206, 1120, 5446, 4996, 7809, 3205, 2232, 1603, 285, 3820, 1463, 4454, 2481, 1946, 5583, 8438, 8972, 7979, 2951, 8104, 5222, 9862, 6461, 2198, 7974, 2748, 602, 9219, 6108, 2443, 6567, 8688, 3760, 5682, 1953, 8746, 7426, 8776, 6551, 3659, 8190, 6034, 3123, 9162, 459, 5725, 4206, 4059, 8052, 3873, 9091, 4985, 2223, 1107, 9877, 4100, 6030, 2551, 9935, 8945, 2765, 140, 4975, 5948, 4367, 6404, 6887, 6712, 6425, 5067, 4525, 6945, 8164, 4276, 4253, 1070, 2740, 7590, 3838, 9110, 8343, 3576, 3869, 502, 5143, 7736, 5876, 8163, 3689, 9233, 3015, 5267, 5195, 1548, 8754, 2437, 8089, 4518, 4718, 3966, 8958, 2299, 7535, 5220, 704, 9526, 2404, 2403, 1996, 9543, 5862, 5, 7328, 1002, 3140, 6270, 9353, 6825, 6238, 6641, 1511, 9866, 775, 4354, 5799, 2903, 5197, 8815, 4824, 9536, 7137, 6090, 4319, 6232, 6418, 8511, 6869, 9635, 8932, 8478, 9870, 6668, 7670, 9885, 1017, 4442, 1248, 382, 3945, 1517, 7939, 7658, 3846, 1563, 7592, 5718, 3900, 6128, 1868, 2928, 3646, 5468, 7704, 2629, 1217, 4382, 5692, 3304, 4772, 4715, 8362, 4195, 8515, 3284, 421, 9135, 9964, 2783, 8202, 5409, 5590, 3421, 3094, 9834, 3892, 464, 6127, 7564, 8747, 8758, 3750, 9798, 5328, 202, 4547, 5301, 2296, 9496, 1840, 3405, 1863, 8061, 9175, 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4785, 1237, 6499, 7691, 5044, 3469, 616, 2206, 2899, 8469, 3903, 3515, 6227, 8281, 538, 8873, 7569, 4184, 4782, 2242, 4603, 7853, 7107, 4690, 3030, 8982, 6532, 2705, 7196, 6479, 6284, 3886, 2662, 5005, 7738, 3374, 3369, 7848, 4283, 8162, 3324, 2863, 5051, 7247, 9908, 8678, 6902, 1072, 1926, 4306, 8122, 2178, 4384, 1376, 3668, 7150, 2982, 6789, 7599, 8614, 9897, 2144, 7096, 1671, 6926, 1095, 8160, 1679, 7724, 799, 1551, 481, 829, 1810, 5325, 1689, 5664, 4215, 4511, 8361, 8511, 3389, 3365, 8012, 1634, 1595, 2946, 5739, 1472, 4551, 6145, 4444, 2462, 2184, 2992, 9236, 1659, 1535, 4826, 7524, 8922, 388, 8653, 1075, 1946, 4321, 3154, 1948, 4832, 627, 7345, 3473, 2023, 2298, 1463, 1567, 8079, 5088, 8214, 1436, 5870, 9274, 7323, 2842, 3563, 5379, 4622, 9432, 3506, 2385, 4231, 4092, 773, 201, 2747, 7193, 7073, 9260, 2457, 2459, 6970, 6447, 5778, 9169, 5843, 7580, 7945, 4830, 4189, 535, 5668, 4854, 5279, 7453, 1729, 8230, 8014, 4278, 7584, 8382, 3155, 3320, 9474, 8883, 802, 3364, 9661, 4643, 9839, 3445, 4593, 9782, 2989, 9120, 4829, 6036, 6101, 3029, 6529, 8038, 866, 2229, 1249, 2220, 7605, 5159, 5019, 4654, 8607, 1983, 8109, 9038, 4766, 9648, 7670, 2130, 8462, 448, 4724, 1864, 788, 6054, 7649, 3418, 3454, 9406, 2693, 8447, 9523, 4494, 2419, 8129, 4930, 1995, 8346, 2478, 3801, 5417, 4974, 6225, 1874, 6950, 2841, 9757, 5295, 4251, 595, 3311, 7303, 3186, 8940, 8534, 3207, 5885, 3641, 8556, 6576, 6122, 3481, 9745, 7553, 2346, 8716, 907, 8842, 6065, 9079, 8686, 5370, 1961, 522, 9641, 85, 7133, 3396, 728, 9924, 5515, 5416, 4604, 9297, 7600, 4887, 1585, 2319, 3352, 2098, 9117, 4644, 7662, 6980, 8733, 7433, 1915, 623, 7109, 1822, 4490, 7449, 8780, 4147, 9937, 1554, 4947, 2027, 1228, 4385, 5020, 848, 4900, 135, 8785, 3623, 9189, 1352, 2805, 7679, 3955, 5318, 2157, 3803, 1764, 6534, 8473, 8194, 4710, 4590, 5926, 5394, 9090, 8212, 5555, 4598, 7593, 3358, 9470, 8401, 6915, 9785, 7407, 5086, 9488, 2060, 5372, 2546, 6294, 7170, 7056, 5057, 9150, 2782, 8010, 8694, 1511, 5059, 4149, 9298, 9519, 2669, 5722, 3661, 6016, 1067, 6618, 9797, 4802, 7446, 3834, 1024, 967, 2618, 304, 7469, 5993, 412, 7902, 6124, 695, 6810, 5878, 8397, 3694, 7515, 2307, 6190, 8406, 3550, 6894, 8089, 4566, 8928, 7721, 3998, 2042, 8540, 7279, 6657, 6611, 9669, 1622, 5558, 7222, 9907, 3922, 8638, 2075, 1180, 4990, 6026, 2831, 1479, 7642, 1215, 8770, 7314, 6176, 3132, 1259, 4575, 8841, 4661, 1276, 9421, 2283, 352, 2596, 6677, 476, 5817, 1757, 6323, 7456, 3066, 8404, 2715, 7645, 7870, 6140, 338, 6232, 3714, 8261, 3135, 8479, 1953, 1470, 8332, 2878, 9129, 3894, 702, 6341, 3613, 5951, 2340, 5435, 4003, 3671, 6671, 8838, 8217, 5315, 6669, 7459, 2531, 8076, 6138, 2724, 6555, 5560, 4594, 5006, 3609, 5889, 4213, 5825, 8973, 3837, 2289, 3254, 851, 9258, 9172, 4902, 9780, 469, 4882, 1510, 2055, 3743, 5430, 7743, 6406, 7620, 8609, 6823, 2873, 2014, 4851, 6654, 5929, 2879, 3836, 7039, 6825, 9426, 7493, 7234, 1817, 6203, 3830, 1303, 8731, 6087, 9817, 6247, 2071, 5713, 4289, 3553, 6796, 4260, 3057, 5301, 6695, 7442, 9061, 4358, 1853, 5650, 1856, 4965, 2632, 771, 1021, 1096, 6436, 1828, 4071, 7697, 6418, 28, 8181, 2655, 926, 4331, 3017, 3881, 4133, 1243, 7930, 1837, 8949, 1944, 5308, 1615, 4952, 9732, 5846, 8492, 1141, 5058, 373, 4126, 5838, 4602, 7839, 9384, 6615, 3120, 6971, 4112, 5139, 2549, 4351, 9754, 9973, 3942, 4954, 9312, 5, 5455, 2543, 6506, 7638, 83, 4443, 1485, 5933, 4504, 6998, 9524, 4114, 3590, 6832, 980, 556, 8535, 8110, 4528, 6252, 4229, 137, 5887, 4614, 7052, 9588, 4939, 6223, 8330, 1037, 158, 1902, 9029, 711, 3759, 6661, 5211, 8489, 9957, 4276, 3521, 5158, 8303, 5464, 1710, 9167, 6876, 6083, 7869, 4339, 9004, 6711, 1062, 2153, 9374, 103, 8854, 6731, 7533, 9550, 9966, 8459, 9981, 7391, 9212, 295, 7760, 3986, 843, 9125, 2634, 379, 5141, 6226, 4879, 5731, 5137, 5371, 8224, 1636, 3174, 6407, 2246, 9083, 4841, 6172, 7057, 3083, 5091, 6582, 299, 682, 4222, 2322, 9920, 3905, 2576, 5155, 9904, 5852, 8964, 6844, 7217, 5914, 7541, 5548, 2193, 7603, 1292, 5264, 8046, 7354, 7428, 3440, 5319, 7948, 7604, 4895, 9718, 8710, 6326, 2485, 2253, 519, 8803, 7332, 6312, 6490, 903, 7308, 2917, 6414, 5892, 8006, 826, 3843, 8774, 590, 6511, 289, 8017, 5181, 7918, 5345, 7101, 3218, 3395, 6458, 8539, 5789, 5971, 6017, 7216, 2261, 8588, 668, 4945, 6896, 9456, 1496, 7653, 1901, 1890, 817, 2166, 3236, 1287, 6184, 6469, 6694, 2996, 3755, 78, 8532, 5145, 2990, 9800, 5473, 8740, 2120, 3355, 3783, 7864, 4482, 4452, 3996, 3676, 4127, 2908, 672, 3359, 6734, 7158, 5628, 9170, 2839, 6681, 3508, 8806, 4390, 3825, 3215, 9568, 9423, 4577, 4457, 530, 1410, 282, 8322, 9395, 4608, 2111, 9044, 1756, 8339, 1363, 4572, 4758, 663, 5015, 1613, 1529, 2121, 7357, 9022, 7070, 1899, 3425, 2436, 8616, 184, 1962, 9955, 5573, 2030, 5701, 5549, 3134, 812, 6353, 1335, 2670, 4022, 1102, 5151, 3601, 4967, 922, 2028, 7889, 1711, 4252, 7242, 5007, 4241, 9581, 8857, 1866, 3416, 3424, 4862, 820, 4705, 3461, 9213, 8672, 8737, 150, 8338, 1855, 3463, 2249, 701, 5438, 2369, 2567, 6448, 767, 3975, 6653, 2903, 4247, 3709, 7890, 7195, 8914, 4206, 1889, 7897, 5585, 5237, 5648, 7154, 8201, 2007, 5490, 9918, 1313, 4625, 1521, 5240, 5583, 1641, 7461, 2235, 7728, 492, 6830, 8713, 8231, 722, 2317, 1244, 6966, 8115, 5595, 3021, 6432, 5542, 1744, 6177, 2245, 2578, 7787, 9486, 4477, 4609, 626, 6187, 2361, 2934, 6454, 1612, 8292, 3749, 8525, 8599, 1166, 9327, 961, 1857, 358, 9367, 7088, 5639, 9215, 2583, 2883, 6595, 460, 8958, 4124, 1125, 4692, 5444, 8910, 2824, 7996, 8367, 5550, 1675, 2205, 821, 3068, 1683, 2775, 1552, 6193, 1421, 8702, 1265, 6116, 8270, 4067, 7786, 1230, 5038, 3210, 5957, 7444, 6638, 1530, 7607, 176, 3199, 700, 3779, 5747, 1885, 1528, 4128, 2044, 3387, 3383, 8674, 2997, 3948, 4421, 6415, 7955, 5260, 2826, 2386, 6673, 6556, 977, 8524, 8205, 2654, 8067, 9743, 7199, 5340, 6923, 6066, 7953, 7660, 2912, 6425, 3747, 1324, 6533, 8071, 3303, 5849, 3322, 3497, 2431, 4730, 7387, 9183, 5832, 1914, 4113, 5225, 7578, 4150, 5089, 7191, 7000, 8835, 5269, 1877, 6478, 9200, 9571, 49, 2524, 6977, 2067, 1068, 2796, 4671, 9501, 6812, 7654, 6693, 2373, 4179, 1085, 6623, 5737, 4500, 6769, 1687, 4968, 6549, 4646, 3290, 5811, 2464, 4979, 5147, 4775, 6754, 4605, 548, 8839, 3650, 5152, 4373, 1216, 4715, 1050, 6854, 4695, 6521, 5412, 2092, 7275, 244, 2552, 5775, 5761, 3293, 8963, 772, 8274, 9861, 1609, 686, 3312, 6107, 2338, 7244, 9105, 1509, 2439, 4208, 4132, 2110, 1134, 9163, 8844, 7197, 6245, 5979, 9257, 3629, 1644, 9695, 8103, 7610, 3232, 4771, 7623, 3031, 2627, 7300, 3897, 3822, 8858, 6837, 3848, 7235, 9686, 9412, 9433, 6932, 1984, 3253, 9637, 3704, 6317, 5249, 2678, 7705, 4334, 5582, 1722, 915, 8135, 5681, 7129, 8999, 2739, 6377, 8681, 2926, 9241, 1833, 6773, 963, 5647, 9159, 969, 6044, 4045, 989, 8943, 3635, 7601, 6456, 5987, 1637, 9147, 491, 575, 4852, 8985, 7746, 1484, 8592, 6655, 162, 2785, 2544, 9983, 4943, 8355, 1476, 3792, 5807, 2428, 4867, 5834, 2243, 344, 2297, 1599, 6502, 3736, 6423, 6953, 2247, 7106, 5710, 6624, 3839, 2554, 1646, 4142, 7820, 5571, 2279, 3106, 6229, 569, 447, 3287, 6838, 4821, 2201, 489, 8938, 6125, 3818, 3954, 1522, 3216, 2933, 5492, 1464, 6507, 2558, 6682, 8102, 3300, 6164, 5826, 317, 1331, 5153, 8379, 698, 9974, 9829, 2260, 4665, 5385, 1402, 2866, 8505, 9143, 2740, 708, 5276, 3438, 3654, 7319, 6005, 5149, 3884, 8850, 1092, 5396, 5962, 7186, 1878, 3510, 2203, 4436, 4918, 4125, 5433, 5891, 2848, 5064, 5600, 4982, 1898, 5414, 3514, 6086, 7740, 4956, 8402, 554, 1394, 8732, 6911, 9576, 5353, 6382, 5553, 1057, 8919, 7944, 2712, 9462, 6510, 5819, 7215, 7739, 4699, 84, 898, 7078, 876, 3317, 6100, 12, 6955, 3482, 8918, 2015, 6759, 8251, 3141, 8508, 537, 5534, 4330, 1391, 98, 9508, 3379, 5480, 8315, 7477, 8483, 5907, 1716, 6053, 1870, 7165, 9161, 9123, 5978, 1423, 6001, 5897, 1338, 8002, 9713, 101, 7189, 1859, 7024, 2138, 4658, 8321, 267, 3091, 6350, 2565, 7335, 6910, 8191, 1570, 8480, 7596, 3041, 3573, 6937, 5378, 7238, 140, 4764, 3346, 2285, 8422, 7842, 5033, 7683, 319, 6794, 1947, 8324, 7424, 8003, 7556, 2813, 4178, 310, 2987, 7984, 7104, 4377, 7351, 6318, 4193, 9332, 5963, 1395, 8962, 3116, 724, 322, 2306, 6162, 7682, 9005, 2853, 5848, 7718, 8593, 8159, 2528, 5753, 6289, 1412, 2080, 6351, 4154, 6685, 8704, 3647, 4946, 3781, 4773, 9281, 7767, 434, 6851, 4120, 8314, 918, 5179, 8727, 2800, 9948, 7080, 6105, 4700, 2657, 9872, 1720, 334, 7262, 2920, 6241, 9081, 7003, 7671, 8735, 5300, 328, 4026, 8113, 183, 6108, 7406, 1643, 8974, 7443, 8720, 2377, 6619, 6756, 8197, 8359, 5910, 5166, 3480, 6390, 9413, 2713, 4722, 5742, 9082, 3180, 4061, 6370, 5107, 6584, 5991, 3228, 6829, 199, 6586, 9314, 6603, 3914, 6069, 1487, 5531, 5757, 2757, 847, 1466, 7243, 5293, 608, 2486, 5958, 3695, 3693, 2151, 5039, 9495, 1475, 2691, 2056, 3581, 6645, 8465, 3299, 3337, 7868, 8313, 7496, 5605, 7552, 4780, 4155, 7789, 1732, 9938, 5030, 5104, 300, 1383, 3435, 8675, 4068, 3875, 4813, 1098, 4254, 4245, 3080, 5966, 8666, 5657, 5539, 3778, 4570, 8729, 9010, 167, 3963, 9066, 2183, 3049, 6892, 6606, 2725, 6705, 1358, 2522, 8699, 1556, 6747, 9610, 1886, 5031, 1227, 4104, 6212, 4401, 2354, 8150, 34, 7851, 4275, 8617, 2872, 699, 5380, 2052, 4024, 1416, 3, 726, 4371, 5503, 9891, 2513, 61, 5344, 620, 5711, 2687, 2779, 3990, 1477, 1958, 486, 3826, 1860, 2621, 7142, 5017, 3756, 2597, 2237, 908, 6535, 3642, 3268, 3296, 9546, 3984, 7756, 7198, 6063, 8005, 297, 4134, 6730, 357, 6873, 9375, 2424, 212, 7180, 6890, 7737, 2114, 20, 1630, 4080, 1158, 4827, 8764, 4011, 2218, 6893, 2009, 2611, 1087, 7176, 5809, 5700, 2786, 8090, 7132, 4568, 8437, 7361, 2420, 2822, 7081, 4989, 1104, 7455, 3617, 9482, 4833, 7273, 2131, 4137, 4971, 1447, 1741, 4957, 52, 688, 1073, 1891, 4660, 3675, 4623, 4163, 7499, 6981, 5074, 2344, 5869, 8098, 9047, 547, 4585, 2981, 2788, 4612, 8753, 2393, 2182, 4687, 6858, 4059, 562, 2266, 6182, 3824, 1523, 6516, 1144, 4419, 7069, 7805, 5347, 7834, 5686, 951, 8001, 7800, 1755, 3443, 2735, 8310, 3636, 5781, 9454, 8444, 3880, 7931, 7976, 6629, 9806, 6616, 2139, 5607, 5221, 4350, 751, 4496, 1241, 2251, 8769, 6037, 6115, 5619, 3085, 2271, 6975, 2672, 1255, 7585, 2312, 578, 9256, 5100, 5168, 5955, 7680, 2783, 473, 7872, 139, 5054, 8528, 5252, 9933, 7669, 1875, 3920, 7021, 213, 4779, 6821, 3536, 8151, 8051, 3729, 3791, 7702, 9574, 8621, 5050, 6766, 4680, 7647, 2125, 3107, 398, 154, 1695, 9326, 5751, 2701, 1971, 9944, 4274, 4415, 7876, 3523, 2823, 9157, 9036, 4923, 3718, 639, 2806, 8927, 7381, 376, 4349, 6290, 9100, 6969, 6999, 8142, 9173, 193, 4525, 6314, 5337, 6945, 3885, 4636, 692, 4524, 3410, 6269, 497, 2348, 5909, 9366, 3471, 6952, 3611, 3928, 8452, 966, 5920, 5519, 6158, 9492, 4021, 1297, 1202, 2950, 921, 4014, 1872, 3013, 5923, 4617, 1226, 8267, 5544, 3522, 1845, 7311, 8432, 6827, 6822, 6128, 6757, 8718, 9078, 3137, 7704, 5947, 3809, 5655, 9254, 4720, 7708, 1301, 5614, 6109, 1783, 5750, 1387, 8378, 475, 9440, 438, 8657, 4794, 8301, 7824, 3566, 1692, 3052, 4453, 5134, 4959, 3112, 3122, 758, 2535, 4249, 1088, 6961, 8025, 7626, 4473, 1336, 6255, 981, 2577, 9222, 6155, 1498, 1330, 6373, 366, 9003, 3760, 1803, 7959, 5360, 7384, 7886, 3341, 7299, 9956, 2509, 5375, 9478, 6197, 1413, 6188, 9226, 3684, 221, 7237, 3185, 7454, 5321, 9603, 2590, 9012, 3840, 5465, 4549, 4462, 8375, 6698, 9469, 3161, 6678, 8141, 4404, 6449, 5384, 8906, 7482, 3909, 8897, 2738, 5734, 6501, 7894, 2083, 423, 2761, 3053, 1537, 786, 3194, 6379, 3782, 6863, 4177, 298, 1426, 4763, 2667, 2219, 4186, 3597, 7565, 7233, 5732, 6761, 3918, 6944, 405, 4035, 6460, 7278, 4915, 307, 8237, 7027, 5389, 4, 2037, 1298, 8871, 4901, 9847, 4694, 869, 9814, 8728, 1969, 4825, 3146, 6946, 2563, 718, 9276, 2451, 549, 3846, 8195, 1903, 6345, 8946, 130, 4290, 5463, 3851, 5207, 2573, 5187, 2702, 9873, 1153, 583, 976, 3484, 4379, 5767, 3113, 7315, 208, 2411, 8565, 1799, 5161, 7957, 1499, 5123, 1843, 5612, 7310, 7383, 3035, 7960, 3447, 8481, 9098, 956, 329, 9947, 6885, 5592, 6978, 1905, 8758, 4999, 6866, 7253, 5494, 831, 2768, 4225, 1805, 7926, 6691, 1788, 3967, 8796, 625, 1825, 5670, 2791, 4356, 930, 1700, 2854, 1620, 7883, 6021, 6476, 426, 743, 269, 4696, 5208, 3895, 116, 7937, 7849, 5756, 3750, 3991, 79, 7745, 7181, 2956, 3246, 6907, 3150, 5072, 694, 1340, 6475, 5977, 8509, 6704, 7797, 63, 4173, 8235, 9301, 6299, 5078, 8930, 6650, 1279, 3717, 8476, 8383, 1653, 1113, 4607, 7426, 8196, 7144, 428, 901, 582, 2368, 54, 868, 4073, 3307, 7589, 3529, 3855, 7341, 2498, 5529, 1580, 952, 3900, 5663, 8822, 1986, 5204, 949, 1638, 4516, 5404, 1321, 1540, 8443, 8800, 9914, 1317, 8139, 9611, 5847, 1165, 4466, 4109, 3507, 9975, 1205, 3915, 6887, 2676, 8349, 3802, 855, 7698, 685, 5428, 5758, 1155, 3465, 4418, 2874, 5763, 7936, 2925, 1896, 953, 4297, 730, 8888, 5604, 2605, 2016, 4094, 3118, 634, 9360, 1775, 9517, 6363, 3126, 1357, 7810, 6919, 8605, 3799, 7058, 1176, 5071, 1967, 7664, 4755, 2179, 3804, 71, 3582, 905, 4414, 5616, 2808, 1398, 9527, 2490, 3351, 6651, 8650, 7015, 4659, 7028, 8809, 8250, 5311, 5527, 9207, 644, 6602, 8813, 7483, 2828, 8453, 1429, 6557, 3732, 253, 2154, 6417, 3878, 7175, 3034, 5699, 4993, 707, 4036, 2820, 8138, 4560, 5666, 2366, 3283, 1918, 2126, 1696, 6024, 3929, 7155, 1929, 1739, 336, 2628, 8610, 6739, 2720, 1467, 2763, 8881, 1060, 3147, 6431, 1269, 1097, 5816, 4157, 1920, 2906, 7419, 1785, 459, 3764, 8877, 8451, 2625, 324, 7330, 1418, 4546, 2845, 5752, 4576, 8260, 1927, 9028, 7092, 7625, 7121, 2331, 3808, 717, 4662, 4075, 2274, 3345, 2128, 3682, 2031, 5183, 2025, 9731, 3033, 3496, 5687, 4649, 3817, 3331, 1572, 810, 9018, 9765, 4484, 5220, 9674, 4099, 9408, 7463, 1191, 4239, 8418, 1576, 2418, 1005, 3853, 6537, 4397, 4211, 2365, 2504, 8316, 5620, 1206, 1063, 8309, 484, 6913, 9132, 6470, 9270, 9011, 9106, 7887, 5189, 3227, 7771, 8215, 1121, 5190, 6921, 2988, 1494, 9110, 1957, 7118, 652, 9767, 7200, 5773, 3670, 6328, 2069, 7258, 6260, 1252, 3651, 1923, 377, 6360, 6394, 1219, 9850, 8961, 9144, 1697, 6175, 1762, 9931, 2026, 9039, 6540, 2591, 8084, 2938, 2294, 4976, 4964, 4682, 2867, 5124, 7183, 4664, 3421, 8146, 6542, 9262, 8478, 7935, 4202, 9035, 9153, 6599, 5065, 6375, 3995, 8778, 6166, 3564, 1541, 6717, 8216, 929, 9151, 2460, 4196, 1846, 9067, 2000, 9706, 9875, 9737, 6020, 5859, 3131, 5461, 5946, 8172, 8075, 3705, 9336, 9816, 3874, 9954, 8555, 7076, 3925, 3285, 6413, 8334, 5796, 4486, 2979, 6395, 4950, 1801, 2099, 1179, 8087, 1942, 8488, 2515, 1020, 6554, 1469, 3576, 8369, 5937, 6061, 349, 1177, 4311, 1921, 6922, 8189, 2718, 8568, 274, 3810, 1603, 6361, 9953, 8439, 4745, 8208, 6692, 5567, 5334, 6297, 2645, 8819, 6805, 5829, 6307, 7365, 3680, 5061, 7655, 5743, 1601, 3145, 3477, 9014, 931, 5391, 8772, 8749, 7678, 2819, 8551, 8283, 7969, 5638, 2856, 6719, 6962, 2147, 2696, 8573, 4733, 4995, 2078, 4319, 2106, 3368, 5373, 2957, 1717, 7609, 5504, 2389, 8698, 6391, 7522, 1112, 3606, 6575, 5523, 7731, 2408, 370, 9755, 3937, 4877, 8579, 5679, 7811, 5959, 4064, 4770, 3258, 8640, 6218, 8991, 9863, 3586, 2141, 8773, 3787, 5950, 2909, 4248, 3292, 6795, 932, 4621, 8709, 3896, 6933, 5491, 653, 800, 6839, 7249, 4712, 1663, 5551, 7369, 4697, 760, 3688, 5522, 7294, 9385, 6543, 8980, 4925, 3587, 8518, 7844, 2744, 3622, 6356, 8442, 6515, 6777, 5095, 8594, 1054, 5093, 5272, 9929, 3419, 9418, 1490, 3748, 7114, 8068, 5286, 187, 4708, 6030, 8078, 3415, 5454, 1745, 1910, 7633, 7941, 385, 18, 6831, 9666, 4318, 4005, 5196, 501, 3947, 6013, 5094, 5594, 2732, 4754, 1001, 2860, 3741, 2332, 2943, 1998, 9176, 2392, 1561, 1042, 5209, 6231, 7715, 3244, 9698, 2417, 1407, 1624, 4310, 5142, 4396, 5502, 5254, 600, 5102, 3039, 697, 8907, 1441, 655, 2088, 6869, 7439, 8032, 9717, 6309, 514, 8239, 2281, 5452, 5070, 5685, 1544, 2181, 9302, 9494, 6806, 5021, 1123, 4619, 6324, 6859, 2240, 7689, 4777, 7675, 147, 1816, 7546, 3157, 9396, 480, 60, 4624, 6057, 8484, 3913, 5866, 6845, 9247, 6400, 5783, 5630, 2363, 7591, 7901, 4250, 105, 5900, 7549, 6986, 6903, 6134, 2382, 2427, 4532, 4903, 381, 4911, 353, 7749, 6972, 661, 3982, 3014, 2896, 1047, 5733, 6553, 7394, 8152, 8670, 7511, 5460, 4090, 942, 9888, 6357, 3019, 2497, 6271, 8895, 8937, 801, 1555, 5398, 387, 9190, 4336, 6934, 822, 8856, 1959, 7418, 6485, 5801, 6220, 6877, 7421, 7471, 8608, 9763, 500, 6551, 1443, 5223, 4317, 9063, 3605, 7392, 4589, 4015, 1515, 3762, 2248, 6313, 4515, 5109, 9651, 6816, 3165, 256, 3110, 3286, 3968, 5305, 3088, 6612, 5386, 3591, 3036, 9609, 3256, 8298, 658, 2280, 5409, 9230, 6156, 2296, 6745, 612, 3685, 8781, 8783, 4476, 502, 846, 9688, 4475, 5243, 7729, 9468, 1368, 2688, 7573, 3798, 1691, 9382, 1006, 9171, 1417, 2895, 1222, 8826, 306, 7495, 8965, 8602, 7990, 5633, 1314, 4381, 3422, 1818, 7425, 7097, 4787, 3645, 6196, 6591, 4160, 4847, 2948, 2211, 2468, 5556, 5487, 5496, 754, 3888, 811, 5717, 2758, 4797, 169, 1031, 2053, 3160, 6723, 1730, 2829, 5075, 4187, 7899, 7757, 8403, 2180, 6956, 3222, 445, 7606, 2727, 2653, 9390, 296, 6198, 5769, 1786, 7530, 8498, 9773, 1802, 9600, 5748, 8878, 4759, 390, 4191, 2894, 6077, 4203, 6396, 8399, 7677, 1133, 1876, 3924, 6583, 3742, 7301, 649, 3571, 1091, 5060, 4866, 5501, 6878, 7513, 409, 5593, 2387, 6117, 7374, 5863, 8493, 914, 8504, 3916, 7226, 1625, 2843, 6405, 9893, 485, 4592, 3504, 6569, 1173, 7465, 288, 1735, 9248, 8405, 6662, 5410, 9809, 7562, 6467, 9598, 397, 2794, 6663, 3195, 3812, 896, 2941, 9940, 3716, 4966, 8590, 7375, 6112, 709, 4272, 9741, 3384, 1182, 8, 5043, 4410, 3728, 5420, 9906, 3032, 5348, 742, 3267, 1784, 1090, 7018, 3047, 6585, 1185, 5983, 3233, 7711, 5357, 5331, 1668, 4868, 7831, 1718, 3444, 1919, 8619, 6811, 947, 6135, 3201, 3653, 7270, 1992, 6006, 2619, 1367, 1989, 8341, 8941, 5808, 9219, 9060, 622, 7898, 6429, 2652, 693, 6726, 2589, 4803, 3204, 4795, 3229, 9505, 6587, 9542, 1409, 5707, 5821, 2539, 6185, 5994, 1307, 8279, 4060, 451, 8992, 5564, 8637, 5112, 8034, 9496, 5241, 9321, 738, 9885, 8870, 2527, 7750, 2730, 1078, 6316, 8898, 6526, 1673, 1779, 6206, 4422, 9307, 3459, 3235, 8157, 4774, 4804, 7720, 2964, 8127, 762, 3405, 3931, 6875, 7523, 375, 5080, 6613, 1439, 2267, 1093, 7506, 5055, 6804, 1506, 7857, 8419, 2940, 3295, 507, 7397, 9089, 5397, 7077, 6481, 1738, 828, 0, 4210, 4716, 5654, 1359, 9518, 4555, 6546, 2450, 2257, 8345, 8789, 7438, 1011, 6781, 2086, 5635, 4151, 7617, 9460, 6659, 9624, 7490, 5099, 2358, 1672, 3588, 6408, 2195, 2061, 1145, 7371, 5275, 4009, 2961, 6819, 9834, 4897, 4474, 5450, 2742, 4890, 4642, 784, 4836, 4905, 4450, 2268, 7723, 2793, 543, 4344, 3832, 2792, 2232, 7581, 3237, 1465, 2234, 3197, 1388, 8047, 6643, 781, 1293, 5921, 7324, 7914, 6746, 5791, 1665, 6531, 563, 2711, 421, 4838, 2532, 1049, 8500, 8180, 3648, 5087, 8363, 1462, 4676, 5165, 2556, 4743, 1486, 6168, 318, 1777, 1990, 2893, 3604, 5930, 354, 2610, 7172, 1586, 4736, 1405, 8097, 1143, 6617, 7427, 4578, 508, 4541, 7590, 4750, 7879, 8342, 7182, 7629, 6258, 9185, 6834, 1655, 885, 222, 454, 8502, 1492, 8794, 3241, 2658, 6283, 1268, 9594, 8866, 4681, 3304, 7412, 940, 2862, 8816, 6113, 5462, 3524, 4652, 6639, 4263, 7159, 3270, 8948, 2514, 1461, 6434, 1045, 6043, 76, 8466, 7661, 7822, 8170, 1117, 8171, 791, 4881, 2102, 3252, 9146, 3815, 9677, 5720, 2135, 2315, 3249, 9246, 2093, 8984, 1438, 1629, 8827, 6251, 4672, 5636, 5489, 5278, 988, 8690, 42, 5949, 6948, 4054, 2221, 4641, 6067, 867, 7263, 2599, 9537, 9858, 4380, 599, 6573, 4315, 3097, 45, 1023, 776, 3407, 7815, 2837, 793, 710, 5066, 761, 1900, 7906, 2695, 4678, 1286, 6348, 3428, 8725, 5725, 9909, 9949, 6139, 5136, 6464, 7448, 5536, 9635, 9607, 7966, 4810, 2226, 2606, 6488, 411, 4981, 4663, 2968, 3263, 7913, 1065, 2593, 7865, 9042, 3423, 9911, 8779, 6675, 3457, 8536, 8843, 1347, 4509, 1904, 181, 2148, 9196, 3703, 5090, 6951, 7922, 1198, 6687, 1709, 9500, 5448, 5246, 6519, 8085, 8029, 6558, 4848, 3902, 8271, 6712, 8752, 6518, 7192, 276, 5625, 7326, 1761, 5674, 546, 2170, 7940, 6038, 1750, 7071, 5673, 7404, 5572, 141, 6547, 1248, 4478, 9398, 407, 2949, 716, 2364, 1397, 2710, 3273, 1497, 2716, 8564, 4253, 6457, 8347, 6626, 9587, 2581, 5703, 7353, 2755, 1453, 5343, 2626, 8011, 2660, 5709, 3663, 7668, 7206, 4111, 4735, 6009, 2329, 9210, 6715, 2477, 1610, 8155, 4970, 1422, 1699, 539, 2173, 8669, 6301, 1012, 6721, 6991, 5833, 3025, 2488, 4041, 4416, 2165, 974, 3638, 4522, 9553, 87, 719, 9391, 6674, 8268, 8852, 4119, 816, 872, 6031, 464, 8083, 7413, 4721, 3821, 8763, 6074, 5406, 3333, 3063, 8295, 5805, 9403, 7636, 4402, 2200, 1734, 1882, 1390, 8744, 4628, 7336, 5400, 5827, 1178, 2722, 8391, 1482, 7048, 8143, 2511, 1131, 7436, 2734, 1232, 1507, 6882, 3526, 6070, 8692, 8925, 1245, 4012, 4765, 6508, 4027, 2971, 7904, 8086, 468, 9356, 3498, 6046, 3543, 8957, 511, 9978, 7845, 5176, 7213, 1550, 3124, 941, 2352, 8318, 9175, 8077, 7265, 1044, 80, 3446, 8173, 6253, 1996, 2062, 7355, 7734, 7725, 2536, 166, 5402, 5171, 3178, 9878, 6392, 157, 408, 3169, 808, 1560, 5840, 2097, 1827, 1354, 5253, 8021, 6660, 3776, 2404, 7489, 2323, 337, 7674, 4824, 2986, 4537, 1193, 5518, 1721, 252, 1963, 4051, 113, 6788, 7134, 6701, 5426, 1115, 9002, 163, 6697, 3172, 6292, 1973, 2505, 2048, 75, 2187, 5482, 4246, 7360, 9851, 9826, 9103, 8472, 1362, 4439, 995, 3985, 4296, 8979, 2456, 7907, 3569, 9613, 7732, 7713, 1950, 5256, 6718, 3893, 4518, 9541, 7754, 9915, 2492, 5882, 2441, 8228, 5427, 7635, 1731, 5346, 2721, 2495, 1322, 4718, 9612, 7261, 5800, 2728, 2889, 2664, 7334, 8890, 2006, 1574, 2637, 2963, 4292, 6833, 1598, 789, 2736, 7950, 2753, 7544, 2776, 6321, 1578, 8976, 555, 3595, 1823, 934, 100, 1571, 174, 9633, 887, 2623, 7923, 2821, 5132, 3547, 9778, 3859, 4214, 7259, 4789, 1808, 2378, 4842, 909, 7611, 5289, 9912, 4677, 6114, 6387, 3664, 16, 1588, 1190, 5041, 2798, 1763, 3478, 6287, 3870, 209, 6988, 7768, 2328, 7763, 8335, 5645, 1408, 1211, 6035, 2164, 7539, 6359, 6132, 8193, 1460, 9815, 5924, 5537, 852, 3006, 5828, 1979, 7726, 8635, 4078, 3892, 1753, 7595, 3349, 637, 9268, 7974, 8696, 4806, 1283, 8846, 9491, 7537, 9277, 8765, 5511, 8662, 1360, 4096, 3754, 1016, 7138, 4101, 3710, 3525, 1654, 731, 1427, 6103, 7615, 9499, 7019, 435, 8759, 1284, 6366, 9122, 610, 3262, 8726, 935, 5831, 2217, 5770, 2005, 1386, 7735, 9493, 6165, 7472, 2302, 2748, 7958, 5609, 3370, 5934, 9084, 33, 1161, 4424, 6525, 4403, 9050, 179, 4110, 3831, 1558, 3534, 2530, 5323, 3310, 4086, 8415, 7083, 6388, 9393, 3245, 3677, 5184, 2124, 594, 7514, 437, 9951, 2484, 1557, 2277, 5000, 3056, 9958, 2189, 3656, 9452, 3555, 3479, 7337, 8169, 2849, 3205, 2059, 1452, 9388, 2397, 2607, 964, 2043, 8632, 5170, 8581, 3042, 8320, 7819, 641, 7289, 4234, 6179, 4357, 5002, 2683, 4000, 7312, 2325, 7895, 2638, 8920, 5793, 5129, 9748, 5467, 249, 2774, 2586, 5541, 978, 290, 5656, 4070, 4136, 8494, 4387, 2959, 5590, 4814, 5694, 5970, 2038, 4056, 798, 1474, 7550, 3115, 4398, 5615, 561, 1069, 782, 6075, 1798, 4084, 5872, 9696, 9549, 4340, 8797, 4392, 3737, 1433, 8825, 8874, 5476, 5032, 5708, 3490, 1652, 8057, 5894, 7293, 7637, 3965, 4378, 8428, 1605, 972, 997, 4264, 6778, 1004, 1794, 3093, 8682, 7067, 5160, 6567, 8560, 4479, 2448, 1774, 171, 2595, 4725, 8134, 8211, 8024, 6340, 2760, 180, 3434, 4508, 2969, 5062, 433, 303, 4031, 4294, 6045, 9577, 2942, 6520, 5201, 9092, 3179, 2882, 5837, 4800, 4448, 7380, 1256, 6295, 2807, 3439, 5368, 4492, 5399, 4221, 3102, 4781, 3977, 7634, 6995, 1270, 3842, 5199, 1941, 2381, 7712, 1776, 6493, 9687, 2985, 7403, 1768, 6090, 3392, 6872, 1148, 5774, 2911, 3559, 1014, 1909, 4341, 3044, 3353, 2500, 8158, 5532, 4846, 4043, 4955, 5495, 3542, 6148, 6741, 1966, 4212, 8276, 3269, 3974, 1254, 1282, 3072, 9077, 7741, 6908, 8120, 1892, 4899, 6224, 4927, 3549, 9370, 1170, 5521, 6702, 1239, 7376, 7245, 4634, 3430, 740, 4719, 6889, 2978, 7447, 7210, 1686, 8041, 775, 881, 5688, 8457, 9551, 4973, 3706, 1071, 950, 884, 62, 9803, 520, 3552, 2269, 8523, 2904, 458, 9903, 1626, 3940, 5912, 7747, 5120, 2778, 2414, 3163, 8474, 7650, 8445, 6151, 5341, 8340, 2574, 1299, 9480, 3528, 1733, 1446, 794, 8446, 4004, 1174, 2835, 577, 5483, 1500, 5972, 5226, 5419, 2855, 4941, 5069, 9936, 9449, 619, 4428, 1546, 1908, 9186, 5610, 4304, 9812, 2499, 8054, 2272, 237, 3828, 3562, 3214, 7202, 4520, 3023, 6979, 9521, 8869, 3495, 1184, 2604, 4601, 4175, 987, 9481, 5584, 9154, 7631, 2127, 2697, 7269, 3099, 6857, 1164, 7684, 2703, 6772, 9019, 4192, 4445, 1680, 5307, 271, 1542, 4723, 8721, 806, 4769, 2132, 7283, 9652, 320, 3360, 3575, 8793, 431, 1273, 4975, 2510, 9615, 3224, 3382, 6964, 3805, 8902, 2376, 5693, 9589, 5228, 9325, 9485, 2803, 2469, 3873, 4559, 2213, 4323, 9919, 1566, 9946, 9622, 5342, 7437, 9064, 8121, 842, 1850, 5027, 6779, 5939, 5721, 7755, 8917, 6174, 4406, 1835, 9503, 6194, 1589, 3702, 1458, 1142, 5723, 4978, 4924, 2438, 954, 5736, 6736, 1320, 4301, 6473, 5895, 4935, 4949, 6495, 3089, 891, 3278, 8062, 2104, 3865, 6963, 5282, 7131, 7075, 9584, 487, 4792, 3841, 8044, 7498, 4942, 4227, 1187, 746, 6593, 6589, 6847, 4796, 648, 4020, 6089, 1118, 9251, 3758, 2827, 6421, 8312, 604, 4266, 5047, 875, 4530, 4701, 6720, 9964, 1682, 1514, 7494, 8027, 5063, 4372, 2081, 1935, 3689, 3946, 890, 2454, 2308, 2585, 6462, 9354, 3753, 327, 2897, 1747, 8455, 7597, 5611, 4600, 2994, 1122, 7145, 2035, 6676, 9335, 6597, 5649, 7982, 5018, 6111, 2771, 1459, 456, 1869, 4844, 9292, 5202, 1701, 6208, 4702, 1590, 924, 8636, 1311, 844, 5432, 6008, 7359, 4567, 1318, 7994, 2518, 1420, 6167, 2560, 8408, 7473, 1026, 2036, 7871, 7560, 1669, 185, 5568, 1649, 8385, 6121, 2777, 9102, 7856, 5354, 8724, 570, 7703, 5451, 1553, 7388, 4271, 8210, 6442, 4238, 7212, 4550, 4270, 7321, 4083, 4742, 7162, 2936, 3316, 4638, 2815, 4028, 4526, 2467, 8424, 9935, 7122, 7223, 4573, 6482, 6909, 6296, 6439, 3142, 2263, 248, 4029, 9252, 7347, 5784, 3020, 9340, 3202, 4986, 8417, 3568, 3100, 3426, 6217, 5857, 4121, 8015, 1501, 715, 117, 540, 2174, 2880, 58, 7395, 6455, 7297, 3485, 9616, 4673, 7066, 5996, 640, 4262, 7041, 6027, 1257, 2642, 2749, 5692, 6335, 5794, 1204, 6222, 6085, 3260, 6714, 9667, 6496, 4194, 7577, 7807, 6094, 2496, 1861, 5231, 7025, 128, 1267, 3596, 774, 350, 6233, 3890, 4639, 7350, 2117, 3869, 936, 7687, 7954, 4013, 5862, 238, 2339, 3375, 156, 1346, 6286, 5917, 356, 5309, 8053, 631, 7382, 5352, 7116, 2737, 1723, 2629, 4293, 8233, 8926, 6826, 9353, 4933, 3037, 347, 8326, 9716, 225, 4632, 1813, 64, 3347, 1906, 732, 8282, 8294, 1309, 2415, 4123, 3970, 5227, 4219, 3159, 2177, 402, 1483, 8206, 2892, 9625, 3289, 9779, 4360, 5533, 463, 5675, 584, 3489, 6201, 9871, 1954, 1724, 6384, 1124, 4815, 566, 9438, 1593, 7928, 6257, 414, 6776, 3541, 8061, 1666, 5186, 6664, 6614, 568, 7510, 6446, 6792, 2276, 5851, 2094, 4195, 5871, 3451, 7173, 9329, 9107, 2801, 4044, 7932, 955, 3739, 9881, 2919, 3040, 1200, 4017, 292, 5644, 587, 3050, 3062, 7952, 3910, 4001, 3488, 3891, 5016, 792, 9051, 7861, 3833, 3589, 1415, 5317, 1099, 5327, 9227, 4799, 850, 6901, 2547, 7643, 2286, 9726, 9407, 679, 5374, 3342, 5213, 5198, 684, 7246, 6422, 521, 231, 2534, 4237, 5001, 5267, 6620, 2068, 9237, 5632, 6900, 7792, 5589, 629, 3297, 3200, 4521, 9804, 3076, 363, 4167, 1224, 3166, 4885, 1488, 4408, 4739, 4432, 923, 4837, 7716, 2437, 9606, 8311, 3868, 2334, 8179, 8719, 5150, 6936, 3119, 5392, 7266, 5587, 7579, 3592, 2351, 6306, 3933, 6358, 1742, 6749, 6658, 6216, 2140, 6376, 1132, 6580, 5195, 4822, 8470, 4963, 4183, 4835, 3354, 6828, 8872, 2391, 3927, 3247, 9087, 8905, 1379, 6600, 8100, 2085, 516, 2689, 4145, 4286, 1579, 2216, 3811, 5445, 4032, 2470, 5178, 7043, 5873, 1186, 2238, 3674, 8855, 4320, 5653, 948, 424, 8808, 741, 1086, 3883, 2371, 7764, 5488, 4928, 6332, 1545, 2442, 5727, 7340, 2089, 1952, 1380, 4741, 4364, 4363, 4987, 4616, 5505, 7841, 8933, 1707, 7208, 4596, 1771, 6372, 6738, 5290, 2356, 4907, 4279, 7621, 3101, 1513, 2100, 545, 2647, 1767, 3844, 8066, 4100, 7257, 1505, 3538, 6143, 1534, 813, 2914, 1698, 2034, 6244, 9683, 3127, 9131, 6710, 9668, 9925, 8266, 9831, 551, 5671, 2756, 8966, 2265, 1559, 2079, 5233, 496, 3315, 8885, 5068, 1749, 9095, 6235, 1080, 7276, 5858, 2146, 1518, 785, 7867, 7370, 6180, 3223, 5967, 6568, 8730, 5219, 1516, 1569, 2624, 3003, 2395, 7727, 9601, 5658, 3264, 7099, 2620, 6310, 5738, 8305, 8144, 8164, 3544, 5779, 2517, 277, 8497, 330, 1280, 7893, 7823, 7991, 7993, 6916, 4820, 1369, 4583, 7884, 2861, 6002, 1532, 6799, 833, 1975, 1912, 3301, 1329, 2844, 4165, 1258, 8149, 2320, 6898, 6505, 7430, 6958, 7802, 9152, 462, 7949, 5215, 3633, 849, 8263, 7256, 3414, 6437, 7280, 2434, 2309, 5470, 1038, 7874, 3487, 3957, 714, 7001, 962, 6215, 8240, 8639, 8222, 8186, 2304, 6842, 4788, 416, 279, 9127, 9197, 4753, 3008, 6403, 1325, 5724, 7840, 4313, 2631, 3790, 5271, 333, 9560, 8968, 68, 3274, 6566, 2188, 1167, 6728, 3731, 8939, 14, 8754, 6592, 6443, 9085, 9441, 2002, 3517, 182, 6881, 8975, 8585, 1968, 6642, 8358, 3951, 4808, 6989, 1647, 8395, 3343, 66, 6914, 3002, 5888, 7545, 2273, 2406, 8026, 1053, 4640, 9264, 7152, 3973, 5335, 5741, 2342, 5824, 2112, 186, 1238, 3690, 7769, 4046, 6621, 982, 5696, 2155, 1151, 3788, 5436, 1110, 8717, 8851, 2465, 5261, 6997, 4684, 5224, 3707, 4374, 690, 9068, 8909, 8409, 2542, 9703, 7547, 2521, 1536, 5961, 2575, 6468, 1235, 6047, 4382, 7059, 6868, 696, 1150, 5363, 2812, 3800, 8514, 4558, 9137, 1274, 1600, 8553, 567, 206, 1606, 3630, 7736, 973, 2569, 6641, 4258, 8246, 1793, 618, 815, 5242, 6917, 1949, 6627, 5835, 515, 3182, 9810, 4255, 1236, 2453, 3192, 4361, 9711, 1449, 5728, 2481, 1608, 7836, 5288, 8537, 2158, 8983, 5899, 3325, 4481, 4257, 8708, 6572, 3518, 3271, 6471, 9848, 5546, 7329, 2857, 8238, 5954, 7912, 429, 1074, 5968, 5683, 9111, 1538, 3054, 8931, 2846, 4138, 5908, 553, 3005, 2929, 7156, 2726, 7536, 9867, 7044, 5478, 2394, 9109, 2008, 4081, 899, 6374, 3655, 7752, 588, 2433, 4135, 5083, 677, 5960, 5804, 2582, 2870, 5815, 5277, 1839, 2374, 7264, 7271, 1345, 5234, 861, 5665, 3366, 3403, 7466, 7126, 4153, 6598, 6099, 721, 7491, 8088, 2421, 9220, 6486, 5336, 6062, 9115, 3860, 6080, 6239, 1834, 1955, 3000, 119, 470, 7693, 7753, 5884, 1159, 6305, 8130, 2930, 4655, 5405, 5540, 9645, 2684, 1381, 4791, 7123, 8642, 1702, 305, 108, 1138, 5162, 2966, 8723, 3912, 1294, 1543, 7475, 5557, 9921, 3138, 2859, 6404, 9759, 7656, 7925, 6264, 2603, 8499, 832, 4057, 1812, 7286, 1061, 912, 4620, 678, 2787, 7440, 1385, 1841, 4122, 8407, 9244, 196, 5813, 8860, 1751, 1172, 5449, 1213, 5911, 6968, 3397, 5806, 5513, 8033, 4074, 9675, 985, 7055, 2115, 1081, 6743, 9790, 8600, 6716, 1708, 3111, 6559, 8243, 9682, 6303, 6040, 4162, 4738, 9211, 2902, 8712, 4411, 4651, 6427, 6058, 7916, 2646, 7685, 5890, 2512, 7534, 4464, 9534, 4629, 5830, 6214, 9658, 8959, 9, 8921, 6416, 4188, 39, 2033, 8612, 2324, 3794, 3123, 3455, 4910, 937, 827, 1934, 2313, 994, 5040, 1481, 3662, 1266, 4463, 2054, 7730, 6707, 6141, 5284, 8792, 6965, 2731, 1399, 384, 8300, 8256, 7710, 6207, 6451, 6095, 1533, 1819, 1916, 4305, 6574, 3773, 1604, 1999, 979, 1617, 5037, 7748, 4768, 6947, 7474, 2250, 1225, 38, 7900, 6608, 8583, 6943, 4984, 4656, 9059, 104, 857, 5861, 8798, 2923, 5588, 2156, 383, 9860, 4117, 5081, 9094, 9305, 5163, 6764, 8820, 1980, 998, 7236, 5052, 8900, 1058, 4819, 2360, 2537, 6983, 1508, 9133, 7986, 4507, 5263, 4737, 4653, 4447, 9744, 1328, 483, 280, 2050, 4143, 3486, 133, 1221, 9287, 9045, 7013, 7146, 1264, 8449, 4889, 8661, 8687, 3377, 9526, 4878, 8956, 1728, 5956, 8757, 6342, 5646, 1103, 4166, 1503, 5875, 6960, 7527, 5169, 2019, 2541, 7790, 7777, 369, 3211, 8804, 928, 6393, 9697, 132, 471, 1719, 1077, 3336, 1836, 3816, 839, 9699, 3532, 1727, 9293, 6249, 7951, 7036, 8935, 5509, 825, 6644, 1491, 9299, 1136, 5469, 1066, 5481, 8807, 6250, 7826, 4298, 4831, 2489, 4303, 2639, 7398, 4427, 258, 8059, 557, 8126, 2516, 8589, 7221, 7751, 3371, 768, 3338, 9700, 2932, 5210, 4438, 5218, 766, 3516, 1737, 2617, 43, 7040, 8055, 8045, 7817, 3556, 7528, 1356, 797, 8475, 6883, 9233, 173, 6010, 6355, 6142, 2991, 5079, 3061, 1504, 7908, 3725, 3330, 6880, 323, 8131, 1618, 3096, 8166, 2952, 6867, 6560, 3177, 233, 4485, 7563, 1614, 8259, 382, 2921, 8108, 3981, 4633, 1355, 7512, 3181, 2773, 9311, 3051, 1365, 40, 211, 3452, 6210, 615, 1489, 9538, 8734, 37, 7619, 840, 5695, 7432, 4393, 4413, 5067, 777, 7813, 177, 8864, 4337, 780, 7503, 7535, 8626, 3908, 4631, 910, 9387, 5200, 9118, 3456, 3904, 293, 6871, 3535, 7962, 9057, 2980, 6277, 7594, 878, 9464, 5580, 3243, 778, 9590, 2659, 1428, 2426, 6344, 4181, 4734, 8200, 5098, 6173, 6500, 3744, 17, 9838, 7989, 2682, 3060, 444, 4069, 526, 1583, 7520, 5798, 6588, 9939, 2587, 4055, 7947, 9801, 6938, 9783, 3067, 2551, 6672, 3887, 2924, 9267, 845, 3950, 7046, 7794, 748, 7714, 8746, 2168, 7470, 747, 9349, 7338, 5928, 1107, 8611, 5349, 355, 2398, 9771, 6815, 2149, 9008, 6110, 6590, 30, 6246, 8911, 3659, 6023, 4948, 5403, 2972, 9362, 3048, 9310, 3393, 8128, 4595, 1250, 765, 1055, 8362, 5322, 152, 8116, 399, 3018, 2171, 2975, 2533, 5383, 2858, 5506, 4465, 5545, 4309, 5676, 3978, 4273, 1623, 665, 9562, 8020, 579, 4980, 510, 3935, 4116, 8889, 7780, 5128, 7641, 5298, 706, 642, 251, 5216, 5850, 4174, 1034, 6708, 4442, 2717, 3081, 5576, 1627, 9324, 6315, 3261, 4988, 8204, 6336, 4586, 1233, 532, 4994, 8566, 2161, 2190, 4471, 1137, 8000, 3074, 4858, 525, 2922, 2931, 8104, 7509, 7548, 897, 3420, 603, 1262, 4355, 7089, 4327, 3723, 671, 8096, 339, 7460, 9484, 8255, 656, 4468, 1108, 8990, 4630, 4811, 3500, 195, 1796, 5904, 753, 161, 3640, 9788, 5192, 6594, 8554, 7744, 667, 6048, 643, 7843, 6942, 6131, 5034, 8052, 3189, 5056, 8942, 46, 4876, 25, 4456, 8814, 3856, 5292, 7327, 5547, 106, 8830, 8578, 991, 8319, 2051, 3503, 1678, 4499, 7833, 7488, 1040, 4921, 1079, 3024, 7532, 4637, 1370, 2291, 6579, 8389, 1780, 2292, 8167, 9684, 3470, 7998, 8633, 2040, 7695, 5365, 8272, 26, 3139, 5097, 687, 1414, 7140, 3768, 1713, 2330, 2475, 1917, 939, 1275, 4458, 1981, 4667, 882, 5624, 6130, 6634, 5603, 7798, 48, 2446, 2679, 3203, 8030, 391, 9835, 2337, 6680, 5772, 2750, 436, 6398, 6935, 2928, 3603, 5424, 804, 7681, 6300, 1435, 396, 6051, 1650, 6056, 1928, 4884, 53, 3265, 6735, 7630, 3558, 172, 2123, 264, 6278, 419, 5902, 5036, 3644, 6862, 2223, 5823, 6864, 8916, 3989, 5442, 3284, 7507, 9566, 8745, 1183, 3624, 8092, 5440, 7322, 3399, 1660, 859, 3669, 2416, 1811, 5273, 3350, 1814, 8004, 7666, 9846, 6607, 7296, 1253, 452, 4675, 6285, 9400, 6570, 9447, 7742, 5667, 3511, 5744, 7284, 7659, 2039, 3857, 1009, 7218, 8542, 5598, 2176, 6104, 5691, 5867, 5143, 6601, 9112, 7667, 3952, 5245, 6523, 9300, 7806, 8714, 4370, 6191, 3959, 3105, 6078, 1373, 1100, 6722, 1111, 4904, 2487, 2318, 9240, 8663, 6809, 830, 194, 7045, 5981, 134, 2832, 9792, 5822, 8836, 5802, 3321, 9113, 474, 9596, 1575, 2913, 3318, 4002, 4668, 6025, 9308, 6397, 3610, 4224, 7420, 5785, 7100, 4359, 8223, 1951, 960, 5755, 3697, 3493, 6453, 9023, 7980, 8448, 5004, 2185, 2494, 5108, 1913, 7282, 6984, 5439, 2300, 2422, 4329, 2699, 7796, 4440, 3960, 6444, 8456, 3698, 5497, 8575, 3255, 131, 1807, 5510, 7139, 2001, 5986, 4514, 1135, 8082, 7529, 93, 5022, 420, 675, 2579, 6793, 7504, 1596, 5974, 2432, 3144, 4581, 7373, 4019, 1389, 3607, 3494, 3625, 2045, 1862, 1109, 8944, 4857, 6562, 7598, 9608, 1667, 6755, 142, 8549, 7143, 4931, 1432, 5126, 7065, 1782, 6000, 1203, 9586, 6631, 2310, 432, 9386, 4023, 3390, 2799, 242, 3095, 2719, 1619, 560, 5351, 8364, 1393, 7151, 1371, 9557, 2162, 4130, 7997, 737, 285, 4158, 8360, 683, 8824, 5634, 4233, 4376, 315, 7287, 345, 1607, 1602, 9204, 97, 999, 7582, 835, 2258, 5447, 236, 7102, 3777, 7672, 790, 1993, 5714, 8861, 6679, 5964, 7203, 5110, 1907, 3696, 8563, 7799, 24, 5182, 5922, 880, 7572, 4129, 647, 4562, 4615, 4322, 5762, 2945, 260, 739, 841, 9626, 7137, 8738, 9685, 2359, 2252, 6383, 986, 8440, 6686, 4747, 6668, 2024, 5283, 5280, 4580, 2230, 9971, 3104, 3367, 617, 7110, 2435, 241, 6561, 4243, 6152, 7239, 6050, 6853, 5401, 834, 8198, 4285, 1195, 2087, 6578, 6237, 3442, 9027, 4909, 7124, 9350, 5014, 5367, 7399, 5759, 8148, 5140, 5627, 1740, 5356, 7933, 2299, 1033, 7892, 9868, 6098, 6154, 4744, 1880, 4115, 6219, 3329, 2066, 410, 6762, 3065, 1997, 3681, 7588, 5131, 3953, 6331, 4268, 6927, 1048, 210, 2413, 9439, 9849, 2616, 4400, 573, 4805, 6259, 2175, 1970, 1787, 3361, 6178, 8178, 7676, 153, 5206, 592, 4146, 309, 6343, 5836, 8932, 1824, 5705, 3734, 3183, 3413, 136, 9392, 2491, 5839, 7168, 229, 6149, 2333, 8174, 1348, 6060, 8654, 3272, 8289, 6268, 920, 2228, 7317, 7476, 226, 2133, 996, 856, 8376, 9591, 457, 7366, 2673, 8118, 5270, 9472, 9714, 1584, 8519, 1760, 6545, 4325, 9458, 2915, 8558, 3793, 2143, 6362, 2288, 1168, 3752, 945, 2167, 4926, 8762, 3427, 7850, 6564, 8777, 6550, 2449, 3979, 3602, 6200, 2663, 6195, 712, 1189, 2836, 2754, 217, 7521, 9158, 8163, 5381, 1974, 1312, 477, 4204, 3193, 2781, 9694, 8652, 605, 4420, 6228, 7093, 3769, 5896, 4914, 3621, 1748, 8993, 4545, 1392, 5790, 2255, 7946, 9708, 4647, 2479, 5998, 4584, 1852, 413, 1445, 2160, 4455, 4958, 332, 7290, 4686, 5586, 2751, 5026, 564, 6280, 2327, 819, 7342, 4085, 9853, 198, 1821, 9670, 9959, 8742, 5407, 7169, 8845, 533, 8567, 6824, 3867, 5776, 4729, 321, 7592, 6266, 2609, 8570, 2064, 8287, 838, 8220, 874, 5880, 9041, 8768, 286, 5313, 8040, 2057, 6727, 9673, 7281, 1879, 7230, 3863, 919, 6385, 3078, 1197, 6119, 4874, 7457, 8232, 7837, 2343, 5969, 348, 3899, 6732, 6238, 4556, 3077, 4232, 7268, 624, 6274, 2293, 1568, 9007, 3184, 9214, 8101, 1323, 3545, 5918, 5876, 493, 3877, 4312, 1931, 664, 1895, 646, 9565, 3660, 6906, 1982, 313, 3919, 3585, 1911, 1565, 4430, 8876, 8343, 9425, 4172, 8429, 7479, 5116, 1002, 1592, 8023, 904, 8392, 6146, 3209, 2472, 1310, 1770, 1765, 1041, 8380, 7042, 4089, 88, 1520, 6272, 1181, 6354, 3820, 5053, 3373, 6939, 2370, 8123, 7508, 4554, 9665, 2649, 2222, 1726, 6380, 674, 1010, 406, 5105, 552, 2877, 4091, 7348, 3009, 5952, 2674, 6940, 7411, 1218, 7047, 8739, 7037, 8520, 2254, 10, 8297, 6552, 4052, 2953, 5423, 7873, 8548, 5332, 6808, 7298, 5626, 1378, 2818, 3280, 3448, 223, 7891, 7651, 1234, 7022, 1854, 2834, 3987, 9379, 8106, 1396, 5642, 7125, 3007, 7229, 933, 9355, 9192, 9234, 7014, 2770, 9342, 9832, 1212, 9376, 2752, 4752, 2241, 5259, 1778, 3064, 1563, 5092, 959, 5877, 2372, 5122, 7187, 3691, 4209, 3711, 1670, 6817, 4141, 3871, 9859, 3190, 4992, 3627, 490, 764, 6924, 3362, 9034, 1851, 7352, 4491, 9369, 3217, 2440, 1003, 7919, 680, 4498, 6159, 4223, 1645, 6798, 1648, 3406, 4431, 1326, 102, 1842, 6813, 870, 2671, 4156, 1976, 326, 5456, 2429, 3167, 1881, 2918, 1725, 6633, 311, 2326, 4563, 281, 7782, 4451, 729, 7254, 6744, 2445, 2483, 886, 4097, 3213, 9796, 1587, 6930, 5023, 3433, 3250, 4282, 1633, 3847, 8262, 3276, 243, 1188, 3687, 7943, 422, 8761, 7103, 5329, 3505, 7285, 8562, 2592, 1527, 9489, 8660, 6538, 6491, 192, 3643, 1039, 6364, 6209, 9436, 6401, 4635, 6304, 3917, 247, 4951, 8722, 2172, 287, 9126, 9031, 7956, 8625, 2668, 9545, 2564, 1043, 114, 2570, 6648, 5577, 4906, 8463, 2082, 7325, 1056, 7911, 2, 3813, 3531, 9498, 8541, 1288, 518, 6381, 7567, 2743, 3136, 6630, 1547, 7194, 6368, 9642, 3530, 417, 6517, 8510, 6770, 5944, 2311, 8934, 8587, 3692, 8705, 4713, 4969, 8039, 9343, 7034, 3862, 3332, 5453, 2275, 2548, 2939, 1688, 3713, 1582, 3819, 8242, 3686, 2471, 1140, 550, 5443, 3045, 4216, 6334, 2675, 7112, 5803, 4375, 9825, 2049, 254, 586, 5672, 2013, 3196, 5938, 7759, 9465, 6211, 1632, 3398, 239, 9121, 7500, 6489, 2192, 8165, 9397, 1884, 7307, 9968, 188, 2335, 8868, 3512, 2137, 4772, 4190, 8093, 8350, 5205, 7878, 1442, 3972, 8750, 2136, 691, 2529, 8832, 925, 1806, 8620, 99, 4007, 4531, 2876, 6052, 5042, 2960, 4118, 3879, 9221, 6, 4218, 1789, 1577, 5486, 971, 5868, 3626, 7316, 5749, 803, 2090, 4859, 2507, 9296, 2345, 1406, 736, 6419, 5144, 7452, 3520, 6433, 4037, 5860, 9450, 3319, 6512, 7614, 4335, 893, 94, 5127, 8561, 3022, 7072, 2891, 9786, 8354, 5984, 779, 8244, 8192, 401, 9266, 2196, 3027, 3043, 8924, 4870, 5326, 9477, 6774, 2817, 7561, 1217, 430, 7968, 5990, 645, 3827, 3724, 6213, 4425, 110, 1364, 7012, 3220, 8853, 6899, 3614, 1353, 6426, 4240, 6696, 1831, 1296, 3385, 9729, 9160, 6204, 4386, 6014, 5238, 3628, 9725, 2191, 9532, 3502, 7934, 1829, 5330, 439, 4913, 5106, 805, 2553, 7970, 7487, 5874, 3257, 9760, 6487, 7053, 6888, 1263, 1988, 7029, 5651, 2888, 5369, 9877, 4207, 723, 1437, 2134, 8790, 5931, 73, 1127, 3632, 472, 5364, 2316, 6181, 1036, 4816, 6270, 2198, 705, 807, 9941, 1070, 4300, 8865, 2698, 443, 1706, 4065, 7809, 2811, 8801, 6879, 9724, 3219, 1597, 8788, 9976, 2214, 1289, 6477, 4295, 4801, 2864, 6459, 1677, 3125, 4010, 6039, 6503, 415, 2566, 1451, 2508, 1094, 4106, 2355, 1377, 6818, 4098, 3117, 2455, 6753, 7575, 3600, 524, 5421, 5948, 9437, 4778, 2790, 2401, 74, 8427, 9793, 4618, 7277, 9886, 5008, 5048, 6133, 1972, 1319, 3557, 3966, 9821, 3712, 8277, 1300, 6230, 6571, 4480, 2264, 3086, 8441, 191, 4288, 4749, 44, 2562, 2825, 2423, 261, 8328, 325, 2840, 4050, 6347, 2955, 9346, 246, 8140, 770, 8285, 9742, 879, 4812, 3976, 1404, 5191, 449, 8648, 7005, 5689, 5538, 5719, 8887, 9294, 3164, 5525, 1932, 8207, 2630, 1674, 5328, 82, 3907, 894, 6402, 2865, 9024, 8353, 2951, 7971, 7227, 8426, 4449, 1128, 7405, 8365, 636, 23, 1201, 4732, 5011, 4324, 1116, 6850, 1769, 7863, 8296, 2210, 9275, 5771, 5446, 4460, 5844, 4182, 6699, 2588, 2430, 5115, 4299, 6596, 2207, 2802, 7975, 5669, 51, 4717, 155, 750, 5512, 9069, 9191, 8248, 2076, 3838, 8482, 5893, 1146, 4872, 1064, 89, 4544, 7108, 9130, 2764, 3305, 2482, 9899, 1052, 5820, 703, 6136, 5601, 8952, 2347, 5792, 5975, 8435, 3275, 6782, 5013, 5864, 3829, 2194, 8094, 6412, 9640, 3934, 5578, 2119, 72, 8923, 6273, 5076, 5232, 1278, 4131, 8331, 9303, 50, 9072, 1349, 3449, 11, 9334, 7389, 7979, 2602, 6684, 4757, 1403, 7408, 2709, 2759, 3519, 1797, 8416, 224, 4991, 8184, 4728, 1028, 1171, 7855, 513, 2336, 1987, 8629, 8577, 3328, 2101, 1084, 9333, 5085, 5146, 1242, 164, 8329, 6689, 1277, 2463, 5746, 3468, 565, 4864, 36, 7648, 1199, 3770, 1308, 6123, 862, 7719, 3864, 970, 4783, 3971, 8188, 3242, 4865, 6803, 2476, 6450, 5726, 3394, 8831, 9097, 5865, 3092, 7540, 6652, 3441, 4048, 9040, 8550, 8013, 5637, 9852, 7061, 1160, 9073, 8434, 1525, 67, 3958, 3854, 1473, 8464, 3911, 1591, 1017, 7646, 204, 4679, 6160, 4284, 1524, 8153, 205, 2568, 8522, 7827, 8467, 2766, 837, 5570, 494, 676, 4588, 4423, 3584, 6635, 4985, 8597, 8912, 5310, 943, 6763, 1564, 4030, 9020, 2163, 7773, 6667, 1000, 7801, 7385, 1207, 6982, 8257, 1015, 2545, 8586, 5940, 6192, 91, 7981, 6097, 1965, 4861, 6015, 6369, 6262, 8521, 9845, 8064, 745, 9239, 9208, 3572, 7402, 8691, 4488, 7492, 5554, 8049, 8503, 57, 8176, 6205, 7064, 621, 4033, 8253, 1271, 9016, 1512, 3128, 5574, 2129, 5985, 7207, 7707, 1581, 4395, 1868, 8624, 2108, 1411, 9540, 5493, 95, 8673, 5244, 7613, 9108, 6463, 8327, 362, 8693, 7288, 9404, 3340, 8291, 2239, 1291, 122, 9265, 4727, 9634, 3796, 6171, 4823, 8829, 1956, 9880, 7119, 3313, 5973, 9753, 609, 7783, 5623, 7816, 3143, 404, 3348, 9455, 5559, 4502, 284, 6849, 8795, 7415, 1662, 1425, 3306, 8081, 965, 3539, 1820, 6275, 8471, 3026, 1830, 1154, 7458, 9905, 946, 8425, 3999, 6022, 2850, 3208, 8398, 9216, 4366, 5702, 403, 4236, 3872, 660, 2021, 4610, 2677, 4307, 3969, 8875, 4597, 7393, 9823, 3417, 3431, 70, 2116, 2270, 86, 214, 6007, 5569, 8613, 3466, 1019, 3546, 9365, 902, 3619, 1152, 4561, 818, 5507, 6987, 2474, 2169, 4201, 7171, 5247, 8771, 2383, 7148, 9561, 2636, 8971, 8821, 6461, 4513, 5535, 7166, 5999, 2816, 992, 32, 5471, 864, 3719, 1101, 359, 2644, 149, 7828, 589, 235, 2767, 6263, 8381, 3239, 2665, 8247, 1444, 591, 1018, 7781, 6279, 2762, 2984, 8833, 7328, 1455, 1848, 4627, 7464, 112, 2700, 6371, 1809, 6752, 2976, 8114, 5294, 7318, 2622, 6959, 4140, 3474, 3634, 1930, 735, 6941, 392, 1139, 9932, 331, 9015, 228, 7214, 6169, 3560, 7232, 3593, 9272, 4512, 4962, 4039, 1685, 9569, 1849, 6767, 9894, 7829, 8117, 7574, 4087, 958, 2284, 2804, 8145, 386, 8058, 601, 7793, 2769, 3746, 7973, 9194, 6102, 6957, 6325, 787, 6029, 7378, 6856, 8684, 2259, 1693, 3079, 9148, 5514, 5661, 8056, 9428, 4828, 4259, 170, 2091, 7225, 4613, 8701, 1247, 858, 3378, 8007, 5324, 1281, 5599, 35, 4786, 669, 1129, 7188, 3388, 6670, 7558, 7026, 6445, 1334, 3561, 9080, 7111, 6760, 512, 2885, 5362, 250, 4226, 7929, 2010, 151, 8787, 2538, 7559, 7624, 1790, 7164, 7009, 3073, 638, 2833, 1573, 1229, 9420, 4326, 8818, 1495, 4960, 7618, 8884, 5782, 1883, 6378, 367, 227, 720, 900, 5740, 8894, 5103, 4908, 7346, 8019, 7060, 8308, 2789, 6092, 8387, 5248, 7291, 4493, 8545, 2107, 2461, 7356, 5524, 9854, 9693, 6610, 6497, 6082, 8679, 8304, 889, 2493, 1332, 8584, 1083, 8849, 7252, 8604, 343, 7639, 6807, 9556, 8840, 2072, 5561, 2875, 6509, 3852, 9602, 47, 5754, 5606, 7795, 5563, 9030, 8323, 3191, 5239, 865, 2022, 2962, 4714, 8516, 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4893, 1922, 1658, 7880, 1865, 7032, 7628, 1339, 2681, 6768, 3302, 3652, 1664, 8333, 8601, 9866, 4542, 7627, 3151, 9193, 4077, 8317, 2594, 9962, 3665, 1251, 734, 8533, 1746, 230, 4280, 9507, 6261, 8766, 6625, 5096, 9339, 8596, 3720, 9291, 19, 755, 906, 9099, 6049, 368, 3103, 3357, 1838, 1640, 498, 4139, 877, 291, 4437, 9225, 9818, 8394, 1430, 2998, 6004, 8072, 7583, 9592, 4006, 6120, 1082, 9770, 4840, 7292, 3094, 9980, 2598, 1030, 1208, 6221, 3672, 8748, 3926, 9927, 4703, 8960, 9769, 466, 3412, 9876, 9736, 5677, 4441, 4543, 219, 8050, 8815, 144, 4798, 8955, 9701, 168, 5682, 2227, 8903, 482, 4314, 6846, 3806, 4674, 6281, 2784, 9536, 2572, 8649, 558, 6019, 814, 3251, 916, 6170, 4898, 9401, 8028, 5077, 6814, 9006, 9043, 360, 670, 8275, 2321, 453, 7622, 6860, 6758, 1938, 5009, 9712, 633, 6976, 7153, 6706, 6484, 3158, 245, 505, 8036, 4433, 5148, 7485, 3198, 2995, 9459, 6308, 9479, 3436, 1642, 4343, 1804, 3038, 8574, 3467, 9836, 1714, 4354, 613, 8646, 259, 9255, 6498, 9621, 5883, 8048, 4807, 2814, 1231, 7995, 7852, 4353, 4332, 5185, 27, 5073, 4217, 6438, 1960, 9709, 2905, 3509, 3745, 713, 9739, 9317, 3932, 7209, 8366, 21, 9323, 1130, 4394, 795, 5415, 8491, 8203, 3221, 8591, 9690, 378, 1059, 7400, 2707, 7339, 7033, 374, 8302, 7696, 4920, 6925, 4242, 2772, 1351, 1548, 6742, 129, 1991, 9000, 6632, 8436, 2212, 1936, 5138, 2561, 2341, 90, 8351, 7881, 9650, 5716, 9091, 9184, 9585, 2741, 8377, 4579, 4152, 9548, 3323, 4328, 8631, 3028, 7049, 9443, 759, 8767, 255, 1214, 6522, 8119, 5517, 3570, 9263, 13, 3766, 6905, 9802, 5235, 4536, 59, 7803, 7201, 8879, 527, 9009, 3238, 756, 263, 727, 8461, 7765, 5188, 506, 6544, 4338, 268, 860, 3612, 4818, 9575, 8183, 1847, 2314, 3784, 5617, 3140, 3795, 8517, 7343, 6440, 4108, 6034, 4038, 4198, 7978, 6012, 9758, 2501, 6338, 6137, 5730, 5003, 5566, 2047, 5441, 596, 6327, 4934, 8288, 3282, 8891, 1424, 4107, 1295, 6441, 8711, 4063, 6751, 1628, 3618, 9394, 9442, 1562, 1715, 7999, 4256, 5992, 9689, 2704, 3608, 4018, 3565, 7031, 203, 3730, 8527, 8811, 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7480, 9870, 607, 9747, 6775, 4849, 4776, 8817, 3727, 5842, 3499, 4040, 7401, 4389, 4869, 9487, 863, 9663, 29, 6041, 6920, 4756, 283, 4599, 1372, 8273, 917, 5841, 302, 8009, 1531, 5508, 9934, 5281, 9261, 7699, 6524, 7758, 4348, 8111, 8896, 1341, 2150, 7538, 9378, 7566, 6835, 118, 1007, 3234, 9086, 4342, 4269, 7612, 364, 9752, 450, 8707, 9473, 160, 7917, 8299, 4180, 509, 7576, 769, 5608, 9372, 7835, 2452, 9522, 7531, 56, 9021, 5621, 9702, 499, 3657, 4495, 3850, 3475, 3949, 301, 6790, 6367, 5437, 6504, 9232, 1419, 5314, 427, 4199, 266, 4606, 1304, 3849, 394, 7542, 178, 5121, 1089, 7551, 650, 9656, 9961, 4102, 1631, 7038, 2209, 6787, 1342, 9001, 4267, 1261, 9604, 3156, 9096, 111, 8618, 9416, 9358, 3339, 316, 5299, 7184, 1032, 4587, 8512, 9654, 9653, 7358, 5697, 7241, 2765, 446, 7673, 6709, 9319, 126, 314, 9593, 662, 9865, 9728, 7517, 4740, 8460, 5643, 3404, 574, 5024, 9531, 7255, 5718, 5257, 7484, 1361, 3472, 7818, 2901, 4937, 6737, 6985, 6973, 9467, 1754, 4886, 744, 8700, 7272, 371, 913, 342, 7211, 8641, 7295, 3309, 272, 7927, 6163, 8515, 9341, 3308, 3070, 651, 9740, 9182, 4972, 9620, 9520, 6096, 9896, 8747, 9345, 4220, 4645, 9705, 8671, 4489, 9543, 6530, 3334, 7051, 2305, 7368, 7333, 7939, 7084, 9529, 8344, 8697, 4746, 602, 2350, 9476, 5082, 8168, 9056, 8741, 2706, 2003, 8862, 9842, 9062, 2733, 2046, 9363, 9883, 2666, 6840, 9570, 123, 8124, 597, 9434, 9808, 8132, 3458, 9174, 380, 9928, 7105, 2580, 5125, 2851, 7903, 9290, 5157, 9710, 7555, 6656, 8703, 7709, 6072, 7007, 8557, 1022, 6389, 8063, 1366, 3901, 7054, 8628, 9430, 8954, 6783, 9076, 4333, 7231, 8695, 9644, 365, 7163, 9791, 7808, 2390, 6865, 7416, 8487, 2555, 2502, 7372, 4875, 9811, 8595, 5154, 8280, 9164, 6647, 467, 7306, 9203, 9629, 3961, 3580, 7692, 4159, 7160, 7127, 4470, 4093, 2797, 4434, 9245, 9238, 6539, 9922, 2388, 5111, 425, 5173, 8569, 9784, 9720, 3082, 1027, 4552, 8791, 6609, 9119, 8667, 1192, 888, 1480, 4953, 823, 9155, 4767, 8477, 9055, 1517, 3540, 9926, 9547, 3771, 4977, 9913, 7364, 531, 1681, 993, 9351, 1684, 7519, 7717, 8812, 4845, 7410, 6740, 8892, 2425, 9318, 8837, 2550, 8199, 7921, 5045, 6465, 6990, 2256, 9483, 2571, 628, 752, 5659, 7178, 9128, 9242, 8828, 9660, 6931, 572, 4454, 5528, 523, 7586, 6492, 630, 7349, 9636, 9619, 1046, 581, 8095, 6870, 585, 9787, 69, 2977, 8863, 2349, 7050, 5613, 9075, 165, 8651, 1169, 9890, 9101, 2233, 9917, 9316, 6565, 6527, 9972, 1773, 7120, 4405, 4726, 8390, 5029, 3231, 9595, 495, 4025, 6079, 3699, 9799, 873, 9680, 9471, 9889, 2032, 8043, 5230, 2648, 8736, 6848, 8685, 9655, 2004, 9679, 335, 1781, 9657, 5304, 9497, 1471, 9862, 7090, 9514, 5222, 2409, 8947, 6637, 3861, 7377, 8994, 9389, 9977, 2399, 8252, 9638, 9330, 6183, 9048, 393, 7571, 4853, 5302, 6528, 8187, 9427, 9284, 8307, 9965, 9357, 9643, 9352, 7543, 4929, 3964, 9243, 9892, 3551, 3554, 4534, 9828, 9727, 218, 9338, 8526, 9762, 9295, 5942, 9466, 127, 9217, 7087, 5172, 4287, 9960, 8576, 5320, 895, 7074, 96, 8531, 9678, 9900, 7977, 9632, 9751, 2633, 9979, 3649, 763, 7149, 3533, 9563, 2869, 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+     ]
+    }
+   ],
+   "source": [
+    "print(top_neurons_per_class)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 24,
+   "id": "f5412b6c",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "dict_keys(['NNP', ',', 'CD', 'NNS', 'JJ', 'MD', 'VB', 'DT', 'NN', 'IN', '.', 'VBZ', 'VBG', 'CC', 'VBD', 'VBN', 'RB', 'TO', 'PRP', 'RBR', 'WDT', 'VBP', 'RP', 'PRP$', 'JJS', 'POS', '``', 'EX', \"''\"])\n"
+     ]
+    }
+   ],
+   "source": [
+    "print(top_neurons_per_class.keys())"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "35dc8e78",
+   "metadata": {},
+   "source": [
+    "# IOU"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "e22017cf",
+   "metadata": {},
+   "source": [
+    "For guassian and iou probes we need to binarize the labels file before running the probes"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 34,
+   "id": "26e7caa2",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# binarize the labels file \n",
+    "def binarize_labels(labels_source_file, binarized_labels_file, label): \n",
+    "    with open(labels_source_file, \"r\") as reader, open(binarized_labels_file, \"w\") as writer: \n",
+    "        for line in reader: \n",
+    "            elements = line.strip().split() \n",
+    "            labels = [] \n",
+    "            for elem in elements: \n",
+    "                if elem == label: \n",
+    "                    labels.append(label) \n",
+    "                else: \n",
+    "                    labels.append(\"N\\A\")\n",
+    "            labels = \" \".join(labels)\n",
+    "            writer.write(labels + \"\\n\")\n",
+    "            \n",
+    "                    "
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 35,
+   "id": "107b5f7d",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "binarize_labels(train_labels, \"data/train_labels_binarized.txt\", \"JJ\")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 36,
+   "id": "60bfa8e1",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "huggingface/tokenizers: The current process just got forked, after parallelism has already been used. Disabling parallelism to avoid deadlocks...\n",
+      "To disable this warning, you can either:\n",
+      "\t- Avoid using `tokenizers` before the fork if possible\n",
+      "\t- Explicitly set the environment variable TOKENIZERS_PARALLELISM=(true | false)\n",
+      "N\\A N\\A N\\A N\\A N\\A JJ N\\A N\\A N\\A N\\A N\\A N\\A N\\A JJ N\\A N\\A N\\A N\\A\n",
+      "N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A\n",
+      "N\\A N\\A N\\A N\\A N\\A JJ N\\A JJ N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A JJ N\\A N\\A N\\A JJ JJ N\\A N\\A\n",
+      "N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A JJ N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A\n",
+      "N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A JJ N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A JJ N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A JJ N\\A N\\A N\\A N\\A\n",
+      "N\\A N\\A N\\A N\\A N\\A N\\A JJ JJ N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A\n",
+      "N\\A JJ N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A JJ N\\A N\\A JJ N\\A N\\A N\\A N\\A N\\A\n",
+      "N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A JJ N\\A N\\A\n",
+      "N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A JJ N\\A N\\A\n",
+      "N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A N\\A\n"
+     ]
+    }
+   ],
+   "source": [
+    "!cat \"data/train_labels_binarized.txt\""
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 37,
+   "id": "bfff598e",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Loading json activations from train_activations.json...\n",
+      "10 13.0\n",
+      "Number of tokens:  224\n",
+      "length of source dictionary:  142\n",
+      "length of target dictionary:  2\n",
+      "224\n",
+      "Total instances: 224\n",
+      "['likely', 'high', 'causing', 'show', 'decades', 'forum', 'later', 'Corp.', 'enters', 'as', 'Pierre', 'Lorillard', 'having', 'former', 'cigarettes', 'stopped', 'any', 'questionable', \"''\", 'properties']\n",
+      "Number of samples:  224\n",
+      "Stats: Labels with their frequencies in the final set\n",
+      "N\\A 206\n",
+      "JJ 18\n"
+     ]
+    }
+   ],
+   "source": [
+    "activations, num_layers = data_loader.load_activations('train_activations.json', 768)\n",
+    "tokens = data_loader.load_data(train_sentences, \"data/train_labels_binarized.txt\", activations, 512)\n",
+    "X, y, mapping = utils.create_tensors(tokens, activations, 'NN')\n",
+    "label2idx, idx2label, src2idx, idx2src = mapping"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 38,
+   "id": "a4208866",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "ranking = iou_probe.get_neuron_ordering(X, y)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 39,
+   "id": "ed6c38a0",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "[6362 2085 4803 ... 7286  303 6518]\n"
+     ]
+    }
+   ],
+   "source": [
+    "print(ranking)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "1323eafe",
+   "metadata": {},
+   "source": [
+    "# Guassian"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 41,
+   "id": "ecdcfdfb",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "probe = gaussian_probe.train_probe(X, y)\n",
+    "ranking = gaussian_probe.get_neuron_ordering(probe, 10)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 42,
+   "id": "51a72e6f",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "[3771, 3003, 5055, 2876, 3644, 2108, 5823, 8054, 7286, 5065]\n"
+     ]
+    }
+   ],
+   "source": [
+    "print(ranking)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "cb10477d",
+   "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": "3.9.12"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/tutorials/TransformersVisualizer.ipynb b/tutorials/TransformersVisualizer.ipynb
new file mode 100644
index 0000000..c5cf364
--- /dev/null
+++ b/tutorials/TransformersVisualizer.ipynb
@@ -0,0 +1,146 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "id": "cc6bb1f1",
+   "metadata": {},
+   "source": [
+    "# Transformers Visualizer "
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "id": "e4535f8e",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "from neurox.analysis.visualization import TransformersVisualizer"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "id": "35bdd75b",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "Some weights of the model checkpoint at bert-base-uncased were not used when initializing BertModel: ['cls.predictions.decoder.weight', 'cls.predictions.transform.LayerNorm.bias', 'cls.seq_relationship.weight', 'cls.seq_relationship.bias', 'cls.predictions.transform.dense.bias', 'cls.predictions.transform.LayerNorm.weight', 'cls.predictions.transform.dense.weight', 'cls.predictions.bias']\n",
+      "- This IS expected if you are initializing BertModel from the checkpoint of a model trained on another task or with another architecture (e.g. initializing a BertForSequenceClassification model from a BertForPreTraining model).\n",
+      "- This IS NOT expected if you are initializing BertModel from the checkpoint of a model that you expect to be exactly identical (initializing a BertForSequenceClassification model from a BertForSequenceClassification model).\n"
+     ]
+    }
+   ],
+   "source": [
+    "model = \"bert-base-uncased\"\n",
+    "visualizer = TransformersVisualizer(model)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "id": "8c6ab19b",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "sample = \"This is a test sentence\"\n",
+    "layer = 0 \n",
+    "neuron = 10\n",
+    "svg1 = visualizer(sample.split(), layer, neuron)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "id": "7afd0bb9",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
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+      ],
+      "text/plain": [
+       "<svgwrite.drawing.Drawing at 0x2aaab783e880>"
+      ]
+     },
+     "execution_count": 4,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "svg1"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "id": "c172b3cf",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "sample = \"I hope that you are enjoying the tutorial\"\n",
+    "layer = 5\n",
+    "neuron = 767\n",
+    "svg2 = visualizer(sample.split(), layer, neuron)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "id": "a0fcd769",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/svg+xml": [
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diff --git a/tutorials/data/pos_dev.label b/tutorials/data/pos_dev.label
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--- /dev/null
+++ b/tutorials/data/pos_dev.label
@@ -0,0 +1,10 @@
+DT NNP NNP NNP VBD DT CD NN NN NN IN NNP NNP NNP NNP , RB JJR IN VBN JJ NN IN DT NN NN NN CC RB PDT DT NN VBN IN DT NN .
+DT NN VBZ DT NN IN NNS IN NNP NNP , VBG JJ NNS , DT CD NN NN IN DT JJ NN NN CC DT NN IN JJ NNP NNP NNP IN DT NN NN IN PRP$ NN NNS .
+DT NNP JJ NN VBZ IN $ CD CD IN JJ NN RB , VBN IN DT $ CD CD NN VBN IN DT NN NN NN .
+DT NN VBD VBN NNS VBG $ CD CD , CC CD NN .
+DT NN VBD VBN IN NN VBD .
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+DT NNP NNP NN VBD DT NN VBD VBN IN DT NN POS NN CC `` JJ IN DT JJ NN IN DT NN .
+JJ JJ NNP NNP NNP NNP , VBG RP NNS IN DT NN VB VBN RB , VBD DT NN POS JJ NN IN DT NN VBZ `` JJ . ''
+PRP$ NNS , VBN IN NN TO NNS POS NNS IN DT NNP NNP NNP RB , VBD IN NNP VBZ VBG NNP NN IN DT JJR NN IN DT NN POS NN .
+DT NNP VBZ DT JJR NN TO VB NNP NNP POS NNS RBR JJ CC VB VB NNP POS NN NN .
diff --git a/tutorials/data/pos_dev.word b/tutorials/data/pos_dev.word
new file mode 100644
index 0000000..9969f2b
--- /dev/null
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+The Arizona Corporations Commission authorized an 11.5 % rate increase at Tucson Electric Power Co. , substantially lower than recommended last month by a commission hearing officer and barely half the rise sought by the utility .
+The ruling follows a host of problems at Tucson Electric , including major write-downs , a 60 % slash in the common stock dividend and the departure of former Chairman Einar Greve during a company investigation of his stock sales .
+The Arizona regulatory ruling calls for $ 42 million in added revenue yearly , compared with a $ 57 million boost proposed by the commission hearing officer .
+The company had sought increases totaling $ 80.3 million , or 22 % .
+The decision was announced after trading ended .
+Tucson Electric closed at $ 20.875 a share , down 25 cents , in New York Stock Exchange composite trading .
+A Tucson Electric spokesman said the utility was disappointed by the commission 's decision and `` concerned about the financial integrity of the company .
+South Korean President Roh Tae Woo , brushing aside suggestions that the won be revalued again , said the currency 's current level against the dollar is `` appropriate . ''
+His comments , made in response to reporters ' questions at the National Press Club here , signaled that Seoul is resisting U.S. pressure for a further rise in the currency 's value .
+The U.S. wants a higher won to make South Korea 's exports more expensive and help trim Seoul 's trade surplus .
diff --git a/tutorials/data/pos_test.label b/tutorials/data/pos_test.label
new file mode 100644
index 0000000..0f04227
--- /dev/null
+++ b/tutorials/data/pos_test.label
@@ -0,0 +1,10 @@
+NNP NNP NNP POS NNP NN VBD PRP VBD DT JJ NN VBG PRP$ NN IN NNP NNP TO VB JJ NNS IN NNP POS CD NNS .
+NNP VBD DT NN VBZ IN PRP TO VB CD JJ JJ NNS IN DT NNS .
+DT VBP , IN JJ NNS , DT NN POS CD JJ NNS , DT NN NN , NN NN , VBN VBG NNS IN DT NNS CC DT JJ NN NN .
+IN DT VBG NN , NNP VBD , PRP VBZ RB VBN CD IN DT NNS TO NNP .
+NNP , VBN IN NNP NNP , NNP , VBZ DT NN , NNS , JJ CC NNS NN .
+NNP NNP NNP VBD VBN TO DT NNS NN POS NN , VBG DT NN VBN IN DT NN IN NNP NNP JJ NNP .
+NNP NNP , CD NNS JJ , VBD IN NN NN IN DT NNP NN .
+IN NNP , PRP VBD DT NN IN NN NN IN NNP NNP , DT NN NN NN .
+NNP NNP NNP NNP .
+NNP NNP NNP , CD NNS JJ , VBD VBN NN CC NN VBG NN IN NNP NNP , DT NNP , NNP , NN IN DT NNP NNP NN NN NN .
diff --git a/tutorials/data/pos_test.word b/tutorials/data/pos_test.word
new file mode 100644
index 0000000..e02cc86
--- /dev/null
+++ b/tutorials/data/pos_test.word
@@ -0,0 +1,10 @@
+Rockwell International Corp. 's Tulsa unit said it signed a tentative agreement extending its contract with Boeing Co. to provide structural parts for Boeing 's 747 jetliners .
+Rockwell said the agreement calls for it to supply 200 additional so-called shipsets for the planes .
+These include , among other parts , each jetliner 's two major bulkheads , a pressure floor , torque box , fixed leading edges for the wings and an aft keel beam .
+Under the existing contract , Rockwell said , it has already delivered 793 of the shipsets to Boeing .
+Rockwell , based in El Segundo , Calif. , is an aerospace , electronics , automotive and graphics concern .
+Frank Carlucci III was named to this telecommunications company 's board , filling the vacancy created by the death of William Sobey last May .
+Mr. Carlucci , 59 years old , served as defense secretary in the Reagan administration .
+In January , he accepted the position of vice chairman of Carlyle Group , a merchant banking concern .
+SHEARSON LEHMAN HUTTON Inc .
+Thomas E. Meador , 42 years old , was named president and chief operating officer of Balcor Co. , a Skokie , Ill. , subsidiary of this New York investment banking firm .
diff --git a/tutorials/data/pos_train.label b/tutorials/data/pos_train.label
new file mode 100644
index 0000000..303c610
--- /dev/null
+++ b/tutorials/data/pos_train.label
@@ -0,0 +1,10 @@
+NNP NNP , CD NNS JJ , MD VB DT NN IN DT JJ NN NNP CD .
+NNP NNP VBZ NN IN NNP NNP , DT NNP VBG NN .
+NNP NNP , CD NNS JJ CC JJ NN IN NNP NNP NNP NNP , VBD VBN DT JJ NN IN DT JJ JJ NN .
+DT NN IN NN RB VBN TO VB NNP NN NNS VBZ VBN DT JJ NN IN NN NNS IN DT NN IN NNS VBN TO PRP RBR IN CD NNS IN , NNS VBD .
+DT NN NN , NN , VBZ RB JJ IN PRP VBZ DT NNS , IN RB JJ NNS TO PRP VBG NNS WDT VBP RP NNS JJ , NNS VBD .
+NNP NNP , DT NN IN JJ JJ NNP NNP WDT VBZ NNP NNS , VBD VBG NN IN PRP$ NN NN NNS IN CD .
+IN JJ NNS VBD VBN RBR IN DT NN IN , DT JJS NNS VBP IN NN POS NNP NNP NNP IN NNP , DT NN JJ TO VB JJ NN TO DT NN .
+DT NNP NN VBD , `` DT VBZ DT JJ NN .
+PRP VBP VBG IN NNS IN IN NN VBD IN NN VBG DT JJ NNS .
+EX VBZ DT NN IN PRP$ NNS RB . ''
diff --git a/tutorials/data/pos_train.word b/tutorials/data/pos_train.word
new file mode 100644
index 0000000..bc07987
--- /dev/null
+++ b/tutorials/data/pos_train.word
@@ -0,0 +1,10 @@
+Pierre Vinken , 61 years old , will join the board as a nonexecutive director Nov. 29 .
+Mr. Vinken is chairman of Elsevier N.V. , the Dutch publishing group .
+Rudolph Agnew , 55 years old and former chairman of Consolidated Gold Fields PLC , was named a nonexecutive director of this British industrial conglomerate .
+A form of asbestos once used to make Kent cigarette filters has caused a high percentage of cancer deaths among a group of workers exposed to it more than 30 years ago , researchers reported .
+The asbestos fiber , crocidolite , is unusually resilient once it enters the lungs , with even brief exposures to it causing symptoms that show up decades later , researchers said .
+Lorillard Inc. , the unit of New York-based Loews Corp. that makes Kent cigarettes , stopped using crocidolite in its Micronite cigarette filters in 1956 .
+Although preliminary findings were reported more than a year ago , the latest results appear in today 's New England Journal of Medicine , a forum likely to bring new attention to the problem .
+A Lorillard spokewoman said , `` This is an old story .
+We 're talking about years ago before anyone heard of asbestos having any questionable properties .
+There is no asbestos in our products now . ''
diff --git a/tutorials/data/sentences.txt b/tutorials/data/sentences.txt
new file mode 100644
index 0000000..c55b176
--- /dev/null
+++ b/tutorials/data/sentences.txt
@@ -0,0 +1,10 @@
+In the year 1969, Neil Armstrong became the first person to set foot on the moon during the Apollo 11 mission.
+The Berlin Wall, which divided East and West Germany, stood from 1961 until its fall in 1989.
+In 1776, the United States declared its independence from Great Britain with the signing of the Declaration of Independence.
+The year 1945 marked the end of World War II, with the surrender of Germany and Japan.
+The internet as we know it today began to take shape in 1969, when the first host-to-host connection was established between two computers.
+The devastating earthquake and tsunami in Japan occurred in 2011, causing widespread destruction and a nuclear disaster at the Fukushima Daiichi power plant.
+The Chernobyl nuclear disaster took place in 1986, when a reactor at the Chernobyl power plant in Ukraine exploded, releasing a significant amount of radioactive material.
+The year 1492 is famous for Christopher Columbus's first voyage to the Americas, which opened up a new era of exploration and colonization.
+The Women's Suffrage Movement achieved a significant victory in 1920 with the ratification of the 19th Amendment, granting women the right to vote in the United States.
+The year 2008 saw the global financial crisis, which originated in the United States and had a profound impact on the world economy.
\ No newline at end of file
diff --git a/tutorials/data/train_labels_binarized.txt b/tutorials/data/train_labels_binarized.txt
new file mode 100644
index 0000000..d378731
--- /dev/null
+++ b/tutorials/data/train_labels_binarized.txt
@@ -0,0 +1,10 @@
+N\A N\A N\A N\A N\A JJ N\A N\A N\A N\A N\A N\A N\A JJ N\A N\A N\A N\A
+N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A
+N\A N\A N\A N\A N\A JJ N\A JJ N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A JJ N\A N\A N\A JJ JJ N\A N\A
+N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A JJ N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A
+N\A N\A N\A N\A N\A N\A N\A N\A JJ N\A N\A N\A N\A N\A N\A N\A N\A JJ N\A N\A N\A N\A N\A N\A N\A N\A N\A JJ N\A N\A N\A N\A
+N\A N\A N\A N\A N\A N\A JJ JJ N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A
+N\A JJ N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A JJ N\A N\A JJ N\A N\A N\A N\A N\A
+N\A N\A N\A N\A N\A N\A N\A N\A N\A JJ N\A N\A
+N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A JJ N\A N\A
+N\A N\A N\A N\A N\A N\A N\A N\A N\A N\A