Identifying Upstream and Downstream Nodes.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Identifying Upstream and Downstream Controllers\n",
    "\n",
    "**Author:** [Charles Tapley Hoyt](https://github.com/cthoyt/)\n",
    "\n",
    "**Estimated Run Time:**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Imports"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys\n",
    "import time\n",
    "import os\n",
    "\n",
    "import pybel\n",
    "import pybel.examples\n",
    "import pybel_tools\n",
    "import pybel_tools.analysis\n",
    "from pybel_tools.visualization import to_jupyter"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Environment"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3.6.3 (default, Oct  9 2017, 09:47:56) \n",
      "[GCC 4.2.1 Compatible Apple LLVM 9.0.0 (clang-900.0.37)]\n"
     ]
    }
   ],
   "source": [
    "print(sys.version)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Wed Mar 21 13:29:56 2018\n"
     ]
    }
   ],
   "source": [
    "print(time.asctime())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Dependencies"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'0.11.2-dev'"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pybel.utils.get_version()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'0.5.2-dev'"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pybel_tools.utils.get_version()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "path = os.path.join(os.environ['BMS_BASE'], 'aetionomy', 'alzheimers', 'cdr_sb_associations.bel')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Line 0000419 - IllegalAnnotationValueWarning: \"Nucleus\" is not defined in the CellStructure annotation\n",
      "Line 0000425 - MissingNamespaceNameWarning: \"respiratory chain complex\" is not in the GOBP namespace\n",
      "Line 0000427 - General Parser Failure: del(p(HGNC:KAT8)) -> path(SDIS:\"mitochondrial damage\")\n",
      "Line 0000442 - MissingNamespaceNameWarning: \"mitochondria\" is not in the MESHCS namespace\n"
     ]
    }
   ],
   "source": [
    "graph = pybel.from_path(path)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
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       "require(['d3'], function (d3) {\n",
       "    return init_d3_force(d3, {\"directed\": true, \"graph\": {\"annotation_list\": {\"CDRSPointS\": [\"11\"], \"Condition\": [\"early moderate stage\", \"increasing severity\"], \"Published\": [\"CDR story\"]}, \"annotation_owl\": {}, \"annotation_pattern\": {}, \"annotation_url\": {\"Anatomy\": \"https://arty.scai.fraunhofer.de/artifactory/bel/annotation/anatomy/anatomy-20170511.belanno\", \"Cell\": \"https://arty.scai.fraunhofer.de/artifactory/bel/annotation/cell/cell-20170511.belanno\", \"CellLine\": \"https://arty.scai.fraunhofer.de/artifactory/bel/annotation/cell-line/cell-line-20170511.belanno\", \"CellStructure\": \"https://arty.scai.fraunhofer.de/artifactory/bel/annotation/cell-structure/cell-structure-20170511.belanno\", \"Confidence\": \"https://arty.scai.fraunhofer.de/artifactory/bel/annotation/confidence/confidence-1.0.0.belanno\", \"Disease\": \"https://arty.scai.fraunhofer.de/artifactory/bel/annotation/disease/disease-20170511.belanno\", \"Gender\": \"https://arty.scai.fraunhofer.de/artifactory/bel/annotation/gender/gender-1.0.0.belanno\", \"MeSHAnatomy\": \"https://arty.scai.fraunhofer.de/artifactory/bel/annotation/mesh-anatomy/mesh-anatomy-20170511.belanno\", \"MeSHDisease\": \"https://arty.scai.fraunhofer.de/artifactory/bel/annotation/mesh-diseases/mesh-diseases-20170511.belanno\", \"Species\": \"https://arty.scai.fraunhofer.de/artifactory/bel/annotation/species-taxonomy-id/species-taxonomy-id-20170511.belanno\", \"Subgraph\": \"https://arty.scai.fraunhofer.de/artifactory/bel/annotation/neurommsig/neurommsig-1.0.3.belanno\", \"TextLocation\": \"https://arty.scai.fraunhofer.de/artifactory/bel/annotation/text-location/text-location-1.0.0.belanno\"}, \"document_metadata\": {\"authors\": \"Charles Tapley Hoyt, Daniel Domingo-Fernández, and Lukas Beniusis\", \"contact\": \"charles.hoyt@scai.fraunhofer.de\", \"description\": \"Literature Associations between the Clinical Dementia Rating Sum of Boxes (CDR-SB) and biological entites related to Alzheimer's disease\", \"licenses\": \"CC BY 4.0\", \"name\": \"CDR-SB Associations\", \"version\": \"1.0.5\"}, \"namespace_owl\": {}, \"namespace_pattern\": {\"InChI\": \"\\\\w+\", \"dbSNP\": \"rs[0-9]+\"}, \"namespace_url\": {\"ADO\": \"https://arty.scai.fraunhofer.de/artifactory/bel/namespace/alzheimer-disease-ontology/alzheimer-disease-ontology-1.0.2.belns\", \"CHEBI\": \"https://arty.scai.fraunhofer.de/artifactory/bel/namespace/chebi/chebi-20170511.belns\", \"CTO\": \"https://arty.scai.fraunhofer.de/artifactory/bel/namespace/clinical-trial-ontology/clinical-trial-ontology-1.0.0.belns\", \"EFO\": \"https://arty.scai.fraunhofer.de/artifactory/bel/namespace/efo/efo-20171206.belns\", \"GOBP\": \"https://arty.scai.fraunhofer.de/artifactory/bel/namespace/go-biological-process/go-biological-process-20170511.belns\", \"HGNC\": \"https://arty.scai.fraunhofer.de/artifactory/bel/namespace/hgnc-human-genes/hgnc-human-genes-20170511.belns\", \"MESHC\": 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These results suggest that the AQ is comparable with other established informant-based and patient-based measures. \", \"hash\": \"907acf42bb9fc0c42edc6b19f5653b4c176d393dd89d2230543375ce2f1ca35eae064c664a9e5f49502313e4a7a4973975dd90b30dd7fdcae6e2b5e8b6a99d3e\", \"key\": 0, \"line\": 178, \"relation\": \"positiveCorrelation\", \"source\": 13, \"target\": 36}, {\"citation\": {\"reference\": \"16254429\", \"type\": \"PubMed\"}, \"evidence\": \"The Clinical Dementia Rating (CDR) scale is a widely used dementia staging instrument, yielding a global score and a summated score (sum of box score). \", \"hash\": \"cd322f53899378cf13ab3407e6df5042d51409c5f3dad7250e273a012420652c63167819de9d96d51036eb81b42ac614566be073d863fb1db2f1122b573ef1b1\", \"key\": 0, \"line\": 214, \"relation\": \"positiveCorrelation\", \"source\": 13, \"target\": 20}, {\"annotations\": {\"MeSHDisease\": {\"Lewy Body Disease\": true, \"Parkinson Disease\": true}}, \"citation\": {\"reference\": \"25429309\", \"type\": \"PubMed\"}, \"evidence\": \"DAT concentration in putamen and in caudate were similar in PD and DLB groups and significantly lower than in HCS. 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314, \"relation\": \"association\", \"source\": 13, \"target\": 61}, {\"annotations\": {\"Anatomy\": {\"urine\": true}, \"Species\": {\"9606\": true}}, \"citation\": {\"name\": \"Clin Chim Acta. 2015 Feb 20;441:115-21\", \"reference\": \"25542982\", \"type\": \"PubMed\"}, \"evidence\": \"Among these three markers, the lower 3-HPMA/Cre ratio was most strongly correlated with the decline of MMSE (Mini-Mental State Examination) and the increase in CDRsob (Clinical Dementia Rating Scale Sum of Boxes Scores).\", \"hash\": \"a1c7571a445c8c5e5533873bd43b30dc131cbac633fff6cd6abce8b4a908daa681c758eab45f9a405a632651907c21f9c51f98b3ac870176825961d4d83f8081\", \"key\": 0, \"line\": 323, \"relation\": \"negativeCorrelation\", \"source\": 13, \"target\": 62}, {\"annotations\": {\"Anatomy\": {\"cerebrospinal fluid\": true}, \"MeSHDisease\": {\"Frontotemporal Dementia\": true}, \"Species\": {\"9606\": true}}, \"citation\": {\"name\": \"Ann Neurol. 2014 Jan;75(1):116-26.\", \"reference\": \"24242746\", \"type\": \"PubMed\"}, \"evidence\": \"CSF NfL, but not other CSF measures, correlated with CDRsb and neuropsychological measures in FTD, but not in other diagnostic groups.\", \"hash\": \"47ca3429934f349604df019df3a9f2e49f43915f760f3ff7bafa4f49e839d5ca5e35f274ecb66382ef6dbc8616db757eee7a9d53912dbe482e56d63732084410\", \"key\": 0, \"line\": 347, \"relation\": \"positiveCorrelation\", \"source\": 13, \"target\": 66}, {\"annotations\": {\"Anatomy\": {\"caudate nucleus\": true}, \"MeSHDisease\": {\"Lewy Body Disease\": true}, \"Species\": {\"9606\": true}}, \"citation\": {\"name\": \"Alzheimers Res Ther. 2014 Aug 27;6(5-8):52.\", \"reference\": \"25429309\", \"type\": \"PubMed\"}, \"evidence\": \"Reduced caudate DAT concentration was associated with worse Clinical Dementia Rating Scale-sum of boxes (CDR-SB) scores and visuospatial skills in DLB but not in PD or HCS groups.\", \"hash\": 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0, \"line\": 372, \"relation\": \"negativeCorrelation\", \"source\": 13, \"target\": 68}, {\"annotations\": {\"Condition\": {\"increasing severity\": true}, \"Species\": {\"9606\": true}}, \"citation\": {\"name\": \"BMC Psychol. 2013 Dec 23;1(1):30.\", \"reference\": \"25566378\", \"type\": \"PubMed\"}, \"evidence\": \"Poorer performance on the memory composite was also associated with worse performance on the Mini Mental State Exam and increasing severity on the Clinical Dementia Rating Scale sum of boxes score.\", \"hash\": \"920185c94eecab5559a8e838615881e11319505498216b8d36ed4b8640b291b8f2e1fbc65bbb6eccb937a7b64d1ca0936a718c64fc5f103e1cd3bd323fa85ce0\", \"key\": 0, \"line\": 386, \"relation\": \"negativeCorrelation\", \"source\": 13, \"target\": 72}, {\"annotations\": {\"Anatomy\": {\"anterior cingulate cortex\": true, \"cingulate cortex\": true, \"putamen\": true}, \"MeSHDisease\": {\"Alzheimer Disease\": true}, \"Species\": {\"9606\": true}}, \"citation\": {\"name\": \"Neurobiol Aging. 2009 Dec;30(12):1902-9\", \"reference\": \"18346821\", \"type\": \"PubMed\"}, \"evidence\": \"The linear regression analyses showed that the CDR-SOB explained approximately 11-22% of the variance of [11C]PIB uptake. The association attained statistical significance in both frontal, in both anterior cingulate cortices, and in both putamina.\", \"hash\": \"3b709b8f67e359034b7a671f2b896c48d4633d6891fc953ed829d49650901c15581e8550b0b6460b771d1be2c3f10c33d37ded419c92750f613a6f4117e49fce\", \"key\": 0, \"line\": 398, \"relation\": \"positiveCorrelation\", \"source\": 13, \"target\": 73}, {\"citation\": {\"name\": \"Supportive CSF biomarker evidence to enhance the National Institute on Aging-Alzheimer's Association criteria for diagnosis of Alzheimer's type dementia--a study from Southern India.\", \"reference\": \"25468261\", \"type\": \"PubMed\"}, \"evidence\": \"The present study was undertaken to validate the measurement of biomarkers as a supplement to the latest diagnostic criteria for Alzheimer disease (AD) dementia by National Institute on Aging-Alzheimer's Association (NIA-AA) work group using a sample attending a tertiary care center in Southern India. A total of 20 subjects diagnosed clinically as Alzheimer's dementia according to the NIA-AA criteria for AD were included in the study. The CSF biomarkers Abeta42, t-tau, and p-tau181 were assessed. The biomarker results were compared among mild and moderate to severe AD as defined in the NIA-AA work group guidelines. The results revealed that the amount of Abeta42 was very low in all the 20 samples (<50pg/ml) collected from mild AD cases with CDR score of 1 (n=8), and moderate to severe AD cases with CDR >1 (n=12). t-tau and p-tau levels were in the range of 39.45+/-5.09pg/ml and 13.06+/-7.32pg/ml for CDR 1 group. t-tau and p-tau levels were in the range of 49.9+/-11.28pg/ml and 33.94+/-15.13pg/ml for moderate to severe cases. Analysis of the data revealed statistically significant differences in the p-tau/t-tau ratio and p-tau/Abeta ratio between CDR 1and CDR >1 AD cases (p<0.001) suggesting that p-tau/t-tau and p-tau/Abeta ratio are good indicators of severity of dementia with discriminative value in differentiating mild AD from moderate to severe AD.\", \"hash\": \"2d0988939c7798021fa9bb47c5f669e4b1de7690e8af7d1f18a69ea422e1a5b5aae0c0280c35e4ec2392e7bf31b18b29a77e78061eb0b6e8a3ab3c76388c19bc\", \"key\": 0, \"line\": 74, \"relation\": \"positiveCorrelation\", \"source\": 14, \"target\": 13}, {\"citation\": {\"reference\": \"22701578\", \"type\": \"PubMed\"}, \"evidence\": \"Elevated P-Tau and P-Tau/Aβ42 levels were associated with lower recognition performance on the Rey Auditory Verbal Learning Test\", \"hash\": \"3df3a128832311ffaaab3c0c039e5dfbdd442b89bb3418055064072666585d0675a36f996309a7105d1e574b5e2fd60fd835b1927e3cae8f61685106f32716f1\", \"key\": 0, \"line\": 220, \"relation\": \"negativeCorrelation\", \"source\": 14, \"target\": 46}, {\"annotations\": {\"Anatomy\": {\"cerebrospinal fluid\": true}, \"MeSHDisease\": {\"Alzheimer Disease\": true}, \"Published\": {\"CDR story\": true}, \"Subgraph\": {\"DYRK1A subgraph\": true}}, \"citation\": {\"reference\": \"25116835\", \"type\": \"PubMed\"}, \"evidence\": \"In a subgroup of patients with early AD (CDR=0.5), lower DYRK1A expression was confirmed. In contrast, no difference was found in levels of DYRK1B, the closest relative of DYRK1A, between AD patients and controls. Further, AD patients exhibited a positive correlation between plasma DYRK1A levels and cerebrospinal fluid tau and phosphorylated-tau proteins, but no correlation with amyloid-β42 levels and Pittsburgh compound B cortical binding.\", \"hash\": \"5346eb4b8f296e75be5c119ad904f55cf60250ca94c41781d46ad25f951554bd7992b929f70f72fa65e536ce7d670621c1505280ec2e04dc67ff6bcba8f91338\", \"key\": 0, \"line\": 257, \"relation\": \"negativeCorrelation\", \"source\": 14, \"target\": 49}, {\"hash\": \"61dba5789e5dc9bf55ac4620d27ababeb9ab27d21e90c29018328e8eb91b9e98d3afbd08829d0e55716a31ab2f862e451321f68baa05d92c05a3aa7d3bf9e618\", \"key\": -4, \"relation\": \"hasVariant\", \"source\": 15, \"target\": 14}, {\"hash\": \"34ce14b401ecb47c4ee02e79af34ee0489de1f61aff0f65d2bc20896bd6481408701baf2c83be9ab52188373aeb6e50c39a83264eeb83a214212f6a2422b65ce\", \"key\": -4, \"relation\": \"hasVariant\", \"source\": 15, \"target\": 28}, {\"hash\": \"7a5283c256704ef37671d672a462b16f495e48f65bacb793d55ed3ccd980958101216314c0d3c7180588220aa2b54f69e6514e2d88418777769c0e2b41fa8730\", \"key\": -4, \"relation\": \"hasVariant\", \"source\": 15, \"target\": 31}, {\"annotations\": {\"Anatomy\": {\"cerebrospinal fluid\": true}, \"MeSHDisease\": {\"Alzheimer Disease\": true}, \"Published\": {\"CDR story\": true}, \"Subgraph\": {\"DYRK1A subgraph\": true}}, \"citation\": {\"reference\": \"25116835\", \"type\": \"PubMed\"}, \"evidence\": \"In a subgroup of patients with early AD (CDR=0.5), lower DYRK1A expression was confirmed. In contrast, no difference was found in levels of DYRK1B, the closest relative of DYRK1A, between AD patients and controls. Further, AD patients exhibited a positive correlation between plasma DYRK1A levels and cerebrospinal fluid tau and phosphorylated-tau proteins, but no correlation with amyloid-β42 levels and Pittsburgh compound B cortical binding.\", \"hash\": \"09f1fd5410c57b380dbd375e63148c692ccb2243797be1778e43f2579827f8674505e31ff2dcd7978678d453df57d8593e4666828144cfa08e3c8dcfb404e80a\", \"key\": 0, \"line\": 256, \"relation\": \"negativeCorrelation\", \"source\": 15, \"target\": 49}, {\"hash\": \"86797cc16b10bf1aba759a5b2c6cbce1cb60b7492d09bfc4dd58403a2695745f5aae4861a6eb34b87614cc12e2ec550c4865bdc262cabfac7d1f73a8ae6ad55a\", \"key\": -3, \"relation\": \"hasComponent\", \"source\": 16, \"target\": 17}, {\"hash\": \"fa7b1d60b8bcc694e91000f39290a2ec0455576c3e6bfdcad7655aa36c90a772c2229ba35f63d6187d765d09b06e57782ea0052bab1d2dba37dc63593a2e2bf0\", \"key\": -3, \"relation\": \"hasComponent\", \"source\": 16, \"target\": 18}, {\"citation\": {\"name\": \"Variants in PPP3R1 and MAPT are associated with more rapid functional decline in Alzheimer's disease: the Cache County Dementia Progression Study.\", \"reference\": \"23727081\", \"type\": \"PubMed\"}, \"evidence\": \"Although we observed no association between rs3785883 or rs1868402 alone and change in CDR-sb (P > .10), there was a significant association between a combined genotype model and change in CDR-sb: carriers of the high-risk genotypes at both loci progressed >2.9 times faster than noncarriers (P = .015). \", \"hash\": \"5bf421c813a963f59ef52dc85efe366ae94ea94d716cea3e5fcb3e3e07320e4bf8cc419569e8514f6c601933b98c1adb21aa9a98f99c6f4ef794e57dd9a47a32\", \"key\": 0, \"line\": 82, \"relation\": \"positiveCorrelation\", \"source\": 16, \"target\": 13}, {\"citation\": {\"name\": \"Variants in PPP3R1 and MAPT are associated with more rapid functional decline in Alzheimer's disease: the Cache County Dementia Progression Study.\", \"reference\": \"23727081\", \"type\": \"PubMed\"}, \"evidence\": \"Although we observed no association between rs3785883 or rs1868402 alone and change in CDR-sb (P > .10), there was a significant association between a combined genotype model and change in CDR-sb: carriers of the high-risk genotypes at both loci progressed >2.9 times faster than noncarriers (P = .015). \", \"hash\": \"6fb6107bc90fae81fb19a70dfef8ccba994e12e31ec2e2f07efff5a7961b60c52e8e1404ab41ed4659dd7b50a070801a720ac5add8570be6e25efb0e3d8e5fc8\", \"key\": 0, \"line\": 83, \"relation\": \"causesNoChange\", \"source\": 17, \"target\": 13}, {\"citation\": {\"name\": \"Variants in PPP3R1 and MAPT are associated with more rapid functional decline in Alzheimer's disease: the Cache County Dementia Progression Study.\", \"reference\": \"23727081\", \"type\": \"PubMed\"}, \"evidence\": \"Although we observed no association between rs3785883 or rs1868402 alone and change in CDR-sb (P > .10), there was a significant association between a combined genotype model and change in CDR-sb: carriers of the high-risk genotypes at both loci progressed >2.9 times faster than noncarriers (P = .015). \", \"hash\": \"a3a9f27c6fe0c10e267fb82830efd2f93a005cff44bde776aedf33fe0ea0718c5b339a40dcf4a7c500682e336b088e5b4005fa298210a35f02e4c80fb1acf1c0\", \"key\": 0, \"line\": 84, \"relation\": \"causesNoChange\", \"source\": 18, \"target\": 13}, {\"annotations\": {\"Anatomy\": {\"hippocampus cortex cingulum\": true}}, \"citation\": {\"name\": \" Diffusion tensor imaging of idiopathic normal-pressure hydrocephalus and the cerebrospinal fluid tap test.\", \"reference\": \"27084223\", \"type\": \"PubMed\"}, \"evidence\": \"In the right left cingulum-hippocampus (CgH), FA (Fractional anisotropy) values showed significant positive correlations with Korean-Mini Mental State Examination scores and negative correlations with Clinical Dementia Rating Scale scores.\", \"hash\": \"917533aa583706eedd9c6bc290b02f8cd272d076143f3058d3c6e13312e2b8ce0a892dee24f3300fa0551e0d4e8d0919a497f484255d0fc0484b216175dda65d\", \"key\": 0, \"line\": 94, \"relation\": \"negativeCorrelation\", \"source\": 19, \"target\": 20}, {\"annotations\": {\"Anatomy\": {\"hippocampus cortex cingulum\": true}}, \"citation\": {\"name\": \" Diffusion tensor imaging of idiopathic normal-pressure hydrocephalus and the cerebrospinal fluid tap test.\", \"reference\": \"27084223\", \"type\": \"PubMed\"}, \"evidence\": \"In the right left cingulum-hippocampus (CgH), FA (Fractional anisotropy) values showed significant positive correlations with Korean-Mini Mental State Examination scores and negative correlations with Clinical Dementia Rating Scale scores.\", \"hash\": \"fc9faadfb2a8ae90074314b0462afdf136b491dfec8a58a438fde44ea4c5ef6c011d87ab6a70fe7a6da9a12359ffcead3ec6c7c4220c197395253e2cae0161f7\", \"key\": 0, \"line\": 94, \"relation\": \"negativeCorrelation\", \"source\": 20, \"target\": 19}, {\"citation\": {\"reference\": \"25207744\", \"type\": \"PubMed\"}, \"evidence\": \"The Heidelberg Retina Tomograph (HRT). assessed CDR was significantly correlated with the MD in HEP (Heidelberg Edge Perimetry, HEP)  II (r = -0.281, p = 0.04). In HEP I, VF defects on CPA testing were found in 38 study eyes (58.5%).\", \"hash\": \"c1d842f79efb3a0cab33ad3edb51d1242f30a59873701672e73e95ce3a503564eaeeeb13224bfd71fc0631799aade440aecdfb9fea14f9ef969330d2039db5ec\", \"key\": 0, \"line\": 114, \"relation\": \"positiveCorrelation\", \"source\": 20, \"target\": 25}, {\"citation\": {\"reference\": \"26682680\", \"type\": \"PubMed\"}, \"evidence\": \"Hallucinations were associated with greater cognitive and functional impairments on the MMSE and CDR, while delusional patients showed less impairment on CDR, consistent across cAD and npAD groups.\", \"hash\": \"4d32fade77b307b1f2a90319b04ec103d327c9e36b1d7f4a3f80839011ef9b67ca5cd2ec7db4377e8df0e2b2be1f375c97522335a45f3bab35c32116b28ea604\", \"key\": 0, \"line\": 149, \"relation\": \"positiveCorrelation\", \"source\": 20, \"target\": 34}, {\"annotations\": {\"MeSHAnatomy\": {\"Plasma\": true}, \"Subgraph\": {\"Plasminogen activator subgraph\": true}}, \"citation\": {\"reference\": \"25304332\", \"type\": \"PubMed\"}, \"evidence\": \"Our results show that plasma PAI-1 levels gradually increased as dementia progressed. The mean levels of plasma PAI-1 in patients with MCI and AD patients were significantly higher than those of in healthy controls. Consistently, neuropsychological examination (e.g., MMSE, CDR) also demonstrated significant correlations between the plasma PAI-1 levels and cognitive function. \", \"hash\": \"ce79096a360b6bca2364f52560646f16de50d59e92af0ef888e4ba2502a74260227d0a78627605ba399575601994e1bca576fce099eb95ba4fb5ab5895ff8ce3\", \"key\": 0, \"line\": 164, \"relation\": \"positiveCorrelation\", \"source\": 20, \"target\": 35}, {\"citation\": {\"reference\": \"23567436\", \"type\": \"PubMed\"}, \"evidence\": \"Different sets of ESR1 polymorphisms were associated with cognitive decline from CDR 0 to 0.5 and CDR 0.5 to 1. ESR1 polymorphisms (rs3853248, rs22334693 [ESR1+397], rs9340799 [ESR1+351], rs9397456, rs1801132 [ESR1+975], rs2179922, rs932477, and rs9341016) were associated with the deterioration of episodic memory among subjects with baseline CDR 0, indicating these polymorphisms might be markers for episodic memory decline at an earlier stage.\", \"hash\": \"3065cb5cdb8ea05f8202af1796412ddd2a7245913d7b8d8820daf4a6a548d3d9b7be5cf48ff11c734ba72b8946fd90944b96401e262ebdb8a2e5af887d17dcae\", \"key\": 0, \"line\": 199, \"relation\": \"positiveCorrelation\", \"source\": 20, \"target\": 38}, {\"citation\": {\"reference\": \"23567436\", \"type\": \"PubMed\"}, \"evidence\": \"Different sets of ESR1 polymorphisms were associated with cognitive decline from CDR 0 to 0.5 and CDR 0.5 to 1. ESR1 polymorphisms (rs3853248, rs22334693 [ESR1+397], rs9340799 [ESR1+351], rs9397456, rs1801132 [ESR1+975], rs2179922, rs932477, and rs9341016) were associated with the deterioration of episodic memory among subjects with baseline CDR 0, indicating these polymorphisms might be markers for episodic memory decline at an earlier stage.\", \"hash\": \"762ba79dbbb0975e646672e747eb8b39b0be174cd4442f6a6ff0b659289ec5849da72972749ab4619d3a3b47b67163639a479ff6e1185321fc60a6834bd249f1\", \"key\": 0, \"line\": 200, \"relation\": \"positiveCorrelation\", \"source\": 20, \"target\": 39}, {\"citation\": {\"reference\": \"23567436\", \"type\": \"PubMed\"}, \"evidence\": \"Different sets of ESR1 polymorphisms were associated with cognitive decline from CDR 0 to 0.5 and CDR 0.5 to 1. ESR1 polymorphisms (rs3853248, rs22334693 [ESR1+397], rs9340799 [ESR1+351], rs9397456, rs1801132 [ESR1+975], rs2179922, rs932477, and rs9341016) were associated with the deterioration of episodic memory among subjects with baseline CDR 0, indicating these polymorphisms might be markers for episodic memory decline at an earlier stage.\", \"hash\": \"a2fff20c96d2e8a56d8497f18b1bcd73bed5e355fbe4573a14b7e06202b94d9741b391094108baf1fde92eb254a6ca88cf089d7c78d5e6330b75a74d99b3e019\", \"key\": 0, \"line\": 201, \"relation\": \"positiveCorrelation\", \"source\": 20, \"target\": 40}, {\"citation\": {\"reference\": \"23567436\", \"type\": \"PubMed\"}, \"evidence\": \"Different sets of ESR1 polymorphisms were associated with cognitive decline from CDR 0 to 0.5 and CDR 0.5 to 1. ESR1 polymorphisms (rs3853248, rs22334693 [ESR1+397], rs9340799 [ESR1+351], rs9397456, rs1801132 [ESR1+975], rs2179922, rs932477, and rs9341016) were associated with the deterioration of episodic memory among subjects with baseline CDR 0, indicating these polymorphisms might be markers for episodic memory decline at an earlier stage.\", \"hash\": \"283fee3c331c9ad56a1995943c9e9f5d7c0af5ebfc6a40ebd5fb80fa5794652b9f87d4f5ccb20b519e2e4421707197eba1095e5d6b75c804a012c48c3c0a6200\", \"key\": 0, \"line\": 202, \"relation\": \"positiveCorrelation\", \"source\": 20, \"target\": 41}, {\"citation\": {\"reference\": \"23567436\", \"type\": \"PubMed\"}, \"evidence\": \"Different sets of ESR1 polymorphisms were associated with cognitive decline from CDR 0 to 0.5 and CDR 0.5 to 1. ESR1 polymorphisms (rs3853248, rs22334693 [ESR1+397], rs9340799 [ESR1+351], rs9397456, rs1801132 [ESR1+975], rs2179922, rs932477, and rs9341016) were associated with the deterioration of episodic memory among subjects with baseline CDR 0, indicating these polymorphisms might be markers for episodic memory decline at an earlier stage.\", \"hash\": \"86d39777eb7731514b9ccac7ccf56b0a9e10382dfab91660e60ef573846c7f4b6d9ad4ade200ba611dc184309641cbcf7058687a0d5c2638a023d2c36af2100b\", \"key\": 0, \"line\": 203, \"relation\": \"positiveCorrelation\", \"source\": 20, \"target\": 42}, {\"citation\": {\"reference\": \"23567436\", \"type\": \"PubMed\"}, \"evidence\": \"Different sets of ESR1 polymorphisms were associated with cognitive decline from CDR 0 to 0.5 and CDR 0.5 to 1. ESR1 polymorphisms (rs3853248, rs22334693 [ESR1+397], rs9340799 [ESR1+351], rs9397456, rs1801132 [ESR1+975], rs2179922, rs932477, and rs9341016) were associated with the deterioration of episodic memory among subjects with baseline CDR 0, indicating these polymorphisms might be markers for episodic memory decline at an earlier stage.\", \"hash\": \"24740f69ea7ea5d90b0edd3397dbc5862a7ef7d173bad9d041233160944a7f54a7142231df738bb2661272c3f862dba74245e8029fca689d094a10a34d109e3e\", \"key\": 0, \"line\": 204, \"relation\": \"positiveCorrelation\", \"source\": 20, \"target\": 43}, {\"citation\": {\"reference\": \"23567436\", \"type\": \"PubMed\"}, \"evidence\": \"Different sets of ESR1 polymorphisms were associated with cognitive decline from CDR 0 to 0.5 and CDR 0.5 to 1. ESR1 polymorphisms (rs3853248, rs22334693 [ESR1+397], rs9340799 [ESR1+351], rs9397456, rs1801132 [ESR1+975], rs2179922, rs932477, and rs9341016) were associated with the deterioration of episodic memory among subjects with baseline CDR 0, indicating these polymorphisms might be markers for episodic memory decline at an earlier stage.\", \"hash\": \"573747d12bd3507a51183fc19406a51c332933e8359163bfe0fbf1e51ff1b06b2fc071fd086bc20820a5bf8c9d6278422c32c8ce2d42f655a324954b89cda39b\", \"key\": 0, \"line\": 205, \"relation\": \"positiveCorrelation\", \"source\": 20, \"target\": 44}, {\"citation\": {\"reference\": \"23567436\", \"type\": \"PubMed\"}, \"evidence\": \"Different sets of ESR1 polymorphisms were associated with cognitive decline from CDR 0 to 0.5 and CDR 0.5 to 1. ESR1 polymorphisms (rs3853248, rs22334693 [ESR1+397], rs9340799 [ESR1+351], rs9397456, rs1801132 [ESR1+975], rs2179922, rs932477, and rs9341016) were associated with the deterioration of episodic memory among subjects with baseline CDR 0, indicating these polymorphisms might be markers for episodic memory decline at an earlier stage.\", \"hash\": \"c7a57942cb08299f789d04615a664e96430c68419cb2938561a26658f18eb22b99c78f429680bf155d8398bc67947a4df17262ec4c33152ba45a02c6e815aa70\", \"key\": 0, \"line\": 206, \"relation\": \"positiveCorrelation\", \"source\": 20, \"target\": 45}, {\"citation\": {\"reference\": \"16254429\", \"type\": \"PubMed\"}, \"evidence\": \"The Clinical Dementia Rating (CDR) scale is a widely used dementia staging instrument, yielding a global score and a summated score (sum of box score). \", \"hash\": \"4961cb08205e72e617b8faa53fdbb4b4a85947aac837129c81a0e3cb0b0a32678144468fd755cfd13be75c889a5361ef1a7a5103d87e2eb0b30e58a7c8554c48\", \"key\": 0, \"line\": 214, \"relation\": \"positiveCorrelation\", \"source\": 20, \"target\": 13}, {\"annotations\": {\"Subgraph\": {\"DYRK1A subgraph\": true}}, \"citation\": {\"reference\": \"25116835\", \"type\": \"PubMed\"}, \"evidence\": \"In a subgroup of patients with early AD (CDR=0.5), lower DYRK1A expression was confirmed. 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ESR1 polymorphisms (rs3853248, rs22334693 [ESR1+397], rs9340799 [ESR1+351], rs9397456, rs1801132 [ESR1+975], rs2179922, rs932477, and rs9341016) were associated with the deterioration of episodic memory among subjects with baseline CDR 0, indicating these polymorphisms might be markers for episodic memory decline at an earlier stage.\", \"hash\": \"c84c9e6b4fca60879d518d63cce3ae6b9bd0aca161ba039856bf2a2160ce93cc5c4477e6ddf055e72f615d2108bf2e20ba9ebd40b8a11deb569e2b2fbbc46c74\", \"key\": 0, \"line\": 204, \"relation\": \"positiveCorrelation\", \"source\": 43, \"target\": 20}, {\"citation\": {\"reference\": \"23567436\", \"type\": \"PubMed\"}, \"evidence\": \"Different sets of ESR1 polymorphisms were associated with cognitive decline from CDR 0 to 0.5 and CDR 0.5 to 1. ESR1 polymorphisms (rs3853248, rs22334693 [ESR1+397], rs9340799 [ESR1+351], rs9397456, rs1801132 [ESR1+975], rs2179922, rs932477, and rs9341016) were associated with the deterioration of episodic memory among subjects with baseline CDR 0, indicating these polymorphisms might be markers for episodic memory decline at an earlier stage.\", \"hash\": \"b979416676d87d6f5b9c31c324bc291b525a9964a5a6440fc8d7a5e4348fc3ed175a671408c1cdb0c4e743da444b9d269a65029fef478df07b3ca57b66303206\", \"key\": 0, \"line\": 205, \"relation\": \"positiveCorrelation\", \"source\": 44, \"target\": 20}, {\"citation\": {\"reference\": \"23567436\", \"type\": \"PubMed\"}, \"evidence\": \"Different sets of ESR1 polymorphisms were associated with cognitive decline from CDR 0 to 0.5 and CDR 0.5 to 1. ESR1 polymorphisms (rs3853248, rs22334693 [ESR1+397], rs9340799 [ESR1+351], rs9397456, rs1801132 [ESR1+975], rs2179922, rs932477, and rs9341016) were associated with the deterioration of episodic memory among subjects with baseline CDR 0, indicating these polymorphisms might be markers for episodic memory decline at an earlier stage.\", \"hash\": \"75dc1ead64b1077435e58099d2d217e11d7dcca5f182a12ee23738b1fc30f3a06117880514900b7dd316baa13a889bdaed0ad12ecb1199282385d60e79d65d80\", \"key\": 0, \"line\": 206, \"relation\": \"positiveCorrelation\", \"source\": 45, \"target\": 20}, {\"citation\": {\"reference\": \"22701578\", \"type\": \"PubMed\"}, \"evidence\": \"Elevated P-Tau and P-Tau/Aβ42 levels were associated with lower recognition performance on the Rey Auditory Verbal Learning Test\", \"hash\": \"f51aa442f5727735e608799f3fdd3111223f2149644e9432fb46d185a41ad84450d048690615d0ade8e110c70b047673e41956f732069ba1ffe04501bc9cfac9\", \"key\": 0, \"line\": 220, \"relation\": \"negativeCorrelation\", \"source\": 46, \"target\": 14}, {\"citation\": {\"reference\": \"22701578\", \"type\": \"PubMed\"}, \"evidence\": \"Elevated P-Tau and P-Tau/Aβ42 levels were associated with lower recognition performance on the Rey Auditory Verbal Learning Test\", \"hash\": \"ec78967a37f4564730634e6370d6fc82d682b5ad5d3326b43f5879a77ec71570c21abbcb47e91e730eef0b299d87beb11e8148baf6c577a0dcf757ae4687cf05\", \"key\": 0, \"line\": 221, \"relation\": \"negativeCorrelation\", \"source\": 46, \"target\": 47}, {\"citation\": {\"reference\": \"22701578\", \"type\": \"PubMed\"}, \"evidence\": \"Elevated P-Tau and P-Tau/Aβ42 levels were associated with lower recognition performance on the Rey Auditory Verbal Learning Test\", \"hash\": \"9313f2bd366ba4eeb4f67df8c1be424cbe5513aea42daf85fa7eb46b951c6737ea30d9df20abf3a2d2d131bc578a5c1b03d777c2875bfafeca125d6e6f620730\", \"key\": 0, \"line\": 221, \"relation\": \"negativeCorrelation\", \"source\": 47, \"target\": 46}, {\"annotations\": {\"MeSHDisease\": {\"Lewy Body Disease\": true, \"Parkinson Disease\": true}}, \"citation\": {\"reference\": \"25429309\", \"type\": \"PubMed\"}, \"evidence\": \"DAT concentration in putamen and in caudate were similar in PD and DLB groups and significantly lower than in HCS. Reduced caudate DAT concentration was associated with worse Clinical Dementia Rating Scale-sum of boxes (CDR-SB) scores and visuospatial skills in DLB but not in PD or HCS groups.\", \"hash\": \"35c7d0273328c5925cb87e15b2389a936e57763be49954460c4713daaaddb54d04443aaa70246ffea3b3d1d0ea8c4f2e6232991fefdf117f7739eb9d3c08667a\", \"key\": 0, \"line\": 233, \"relation\": \"positiveCorrelation\", \"source\": 48, \"target\": 13}, {\"annotations\": {\"Subgraph\": {\"DYRK1A subgraph\": true}}, \"citation\": {\"reference\": \"25116835\", \"type\": \"PubMed\"}, \"evidence\": \"In a subgroup of patients with early AD (CDR=0.5), lower DYRK1A expression was confirmed. In contrast, no difference was found in levels of DYRK1B, the closest relative of DYRK1A, between AD patients and controls. Further, AD patients exhibited a positive correlation between plasma DYRK1A levels and cerebrospinal fluid tau and phosphorylated-tau proteins, but no correlation with amyloid-β42 levels and Pittsburgh compound B cortical binding.\", \"hash\": \"cd3e2c4ac192357d1e4e6c6e61a3c0cb9c253815822fa00c998b3d553407d8fdff89595ddebf76ff31074823ee659d1b39e21878cbb1a6c135b4b590640abeeb\", \"key\": 0, \"line\": 249, \"relation\": \"negativeCorrelation\", \"source\": 49, \"target\": 20}, {\"annotations\": {\"Anatomy\": {\"cerebrospinal fluid\": true}, \"MeSHDisease\": {\"Alzheimer Disease\": true}, \"Published\": {\"CDR story\": true}, \"Subgraph\": {\"DYRK1A subgraph\": true}}, \"citation\": {\"reference\": \"25116835\", \"type\": \"PubMed\"}, \"evidence\": \"In a subgroup of patients with early AD (CDR=0.5), lower DYRK1A expression was confirmed. In contrast, no difference was found in levels of DYRK1B, the closest relative of DYRK1A, between AD patients and controls. 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Further, AD patients exhibited a positive correlation between plasma DYRK1A levels and cerebrospinal fluid tau and phosphorylated-tau proteins, but no correlation with amyloid-β42 levels and Pittsburgh compound B cortical binding.\", \"hash\": \"9a7af4e97cf1330b547d186df2a56319990575adfab33237b2598f733ae314e468d7de4e608cca770de39689a14123cb860d0f733b5b982da44bebe832661c4d\", \"key\": 0, \"line\": 257, \"relation\": \"negativeCorrelation\", \"source\": 49, \"target\": 14}, {\"annotations\": {\"Anatomy\": {\"cerebrospinal fluid\": true}, \"MeSHDisease\": {\"Alzheimer Disease\": true}, \"Published\": {\"CDR story\": true}, \"Subgraph\": {\"DYRK1A subgraph\": true}}, \"citation\": {\"reference\": \"25116835\", \"type\": \"PubMed\"}, \"evidence\": \"In a subgroup of patients with early AD (CDR=0.5), lower DYRK1A expression was confirmed. In contrast, no difference was found in levels of DYRK1B, the closest relative of DYRK1A, between AD patients and controls. Further, AD patients exhibited a positive correlation between plasma DYRK1A levels and cerebrospinal fluid tau and phosphorylated-tau proteins, but no correlation with amyloid-β42 levels and Pittsburgh compound B cortical binding.\", \"hash\": \"d07508c90561dd4e1dee7b151d4a2976d78e560fa06e8432c9345e97e48f208f890b3ba83daaa8b309a96faf330754dafc381579deda299e9c94af89d421cd59\", \"key\": 0, \"line\": 258, \"relation\": \"causesNoChange\", \"source\": 49, \"target\": 9}, {\"annotations\": {\"Subgraph\": {\"DYRK1A subgraph\": true}}, \"citation\": {\"reference\": \"25116835\", \"type\": \"PubMed\"}, \"evidence\": \"In a subgroup of patients with early AD (CDR=0.5), lower DYRK1A expression was confirmed. In contrast, no difference was found in levels of DYRK1B, the closest relative of DYRK1A, between AD patients and controls. Further, AD patients exhibited a positive correlation between plasma DYRK1A levels and cerebrospinal fluid tau and phosphorylated-tau proteins, but no correlation with amyloid-β42 levels and Pittsburgh compound B cortical binding.\", \"hash\": \"3a4bcad2492a95e0af9c797f12b1adfc738d25c0af077f7ed19cb868b0c69a117ba25d56aaa42fe865462bcbb48cd95a56666c7618387f573aec61245614a8ac\", \"key\": 0, \"line\": 250, \"relation\": \"causesNoChange\", \"source\": 50, \"target\": 20}, {\"annotations\": {\"Confidence\": {\"Low\": true}}, \"citation\": {\"reference\": \"24961945\", \"type\": \"PubMed\"}, \"evidence\": \"In the study, we recruited 40 Chinese elders with different cognitive statuses and investigated concentrations of Mn in whole blood and plasma amyloid-β (Aβ) peptides. Surprisingly, there were significant correlations of Mn with Mini-Mental State Examination score and Clinical Dementia Rating Scale score. In addition, plasma Aβ peptides increased with elevated Mn. \", \"hash\": \"398e6aca0f921b66f823c422645541282a2e0b33fc023f3933341332b806f8abfc39aded6422d65295a4413d9530bfa2bdb034040692927481b76aa031437f84\", \"key\": 0, \"line\": 271, \"relation\": \"positiveCorrelation\", \"source\": 51, \"target\": 32}, {\"annotations\": {\"Confidence\": {\"Low\": true}}, \"citation\": {\"reference\": \"24961945\", \"type\": \"PubMed\"}, \"evidence\": \"In the study, we recruited 40 Chinese elders with different cognitive statuses and investigated concentrations of Mn in whole blood and plasma amyloid-β (Aβ) peptides. Surprisingly, there were significant correlations of Mn with Mini-Mental State Examination score and Clinical Dementia Rating Scale score. In addition, plasma Aβ peptides increased with elevated Mn. \", \"hash\": \"66ae2671d02b0ee07831c955124f7f01578e2a344d7358fa1cee67cdba44c952e51268879014b89f27614416813a0997ef389cc84660c8e847e9ca3bccfa3faa\", \"key\": 0, \"line\": 272, \"relation\": \"positiveCorrelation\", \"source\": 51, \"target\": 20}, {\"hash\": \"403896b6411c5151c25fcb234ffa78cf5f41174eb026d66c2690ae19d164db67a814686df58fad8b7b73ddc086feccdbc83fa3da1b1d508f37a0776e38249086\", \"key\": -4, \"relation\": \"hasVariant\", \"source\": 52, \"target\": 53}, {\"hash\": \"d31e9e75521020be27199522fc1d5122bb5518a19c536cdc0c0a96e0237d36c5ece634f54cfa6423c3749d458480b8c8193bf369ac64ea721e15a674c76b4b81\", \"key\": -4, \"relation\": \"hasVariant\", \"source\": 52, \"target\": 54}, {\"citation\": {\"name\": \"Genetic evidence for the involvement of variants at APOE, BIN1, CR1, and PICALM loci in risk of late-onset Alzheimer's disease and evaluation for interactions with APOE genotypes.\", \"reference\": \"25022885\", \"type\": \"PubMed\"}, \"evidence\": \"Alleles and genotypes of APOE, PICALM rs3851179 and rs541458, and the BIN1 gene rs744373 polymorphism were significantly different between LOAD and control groups.\", \"hash\": \"7173322a85eaccb0d63c02792b58aec273182e857987d30fd9675508aefbef55668a2545c70f02f9a90e2c9f9aef8144139d96b9996de33b115d10fa73e9f403\", \"key\": 0, \"line\": 289, \"relation\": \"association\", \"source\": 53, \"target\": 57}, {\"citation\": {\"name\": \"Genetic evidence for the involvement of variants at APOE, BIN1, CR1, and PICALM loci in risk of late-onset Alzheimer's disease and evaluation for interactions with APOE genotypes.\", \"reference\": \"25022885\", \"type\": \"PubMed\"}, \"evidence\": \"Alleles and genotypes of APOE, PICALM rs3851179 and rs541458, and the BIN1 gene rs744373 polymorphism were significantly different between LOAD and control groups.\", \"hash\": 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CR1, and PICALM loci in risk of late-onset Alzheimer's disease and evaluation for interactions with APOE genotypes.\", \"reference\": \"25022885\", \"type\": \"PubMed\"}, \"evidence\": \"Alleles and genotypes of APOE, PICALM rs3851179 and rs541458, and the BIN1 gene rs744373 polymorphism were significantly different between LOAD and control groups.\", \"hash\": \"7116791b22aa9af69acf05acd1f3c6f696b5e6376e9e0783251e3a53cac413463d5a3ac979325e2435d677a0f5db08848d1190be001f447e8886cd8d0d10830c\", \"key\": 0, \"line\": 290, \"relation\": \"association\", \"source\": 57, \"target\": 54}, {\"citation\": {\"name\": \"Genetic evidence for the involvement of variants at APOE, BIN1, CR1, and PICALM loci in risk of late-onset Alzheimer's disease and evaluation for interactions with APOE genotypes.\", \"reference\": \"25022885\", \"type\": \"PubMed\"}, \"evidence\": \"Alleles and genotypes of APOE, PICALM rs3851179 and rs541458, and the BIN1 gene rs744373 polymorphism were significantly different between LOAD and control groups.\", \"hash\": \"dfe21e64039506e7ebcd79bc5f253aca461821162998266b64097409437e1bd66602a5fbb269a404172be99fc1638399e2e8d1da57bcc42f0e97f1875260cfa5\", \"key\": 0, \"line\": 291, \"relation\": \"association\", \"source\": 57, \"target\": 56}, {\"citation\": {\"name\": \"Systematic meta-analyses of Alzheimer disease genetic association studies: the AlzGene database.\", \"reference\": \"17192785\", \"type\": \"PubMed\"}, \"evidence\": \"The researchers found that on testing DNA samples from 1,086 well-characterized Alzheimer's disease cases, a single SNP (rs4420638) lying 14 kb distal to the ApoE locus has a powerful association with late-onset AD (corrected p value was 5.3 x 10 e-34).\", \"hash\": \"dc1c17fc5b96048a92f392c01b1c61cf5ccf91a0b397938a22695a7cd30b54c6470a79cd9907f7fa8eccba806e26d8ad8b15e5e533aab8f561d290fd68f38106\", \"key\": 0, \"line\": 299, \"relation\": \"equivalentTo\", \"source\": 57, \"target\": 59}, {\"citation\": {\"name\": \"Systematic meta-analyses of Alzheimer disease genetic association studies: the AlzGene database.\", \"reference\": \"17192785\", \"type\": \"PubMed\"}, \"evidence\": \"The researchers found that on testing DNA samples from 1,086 well-characterized Alzheimer's disease cases, a single SNP (rs4420638) lying 14 kb distal to the ApoE locus has a powerful association with late-onset AD (corrected p value was 5.3 x 10 e-34).\", \"hash\": \"4b55d1d090116bc768d391ea3a542af12ac3a23054798ad9386cebc2643e023804969de35fbb5cf631c30223acefd7f68c478dbd88fc13d1a43d07dc4af7f5ab\", \"key\": 0, \"line\": 298, \"relation\": \"association\", \"source\": 58, \"target\": 59}, {\"citation\": {\"name\": \"Systematic meta-analyses of Alzheimer disease genetic association studies: the AlzGene database.\", \"reference\": \"17192785\", \"type\": \"PubMed\"}, \"evidence\": \"The researchers found that on testing DNA samples from 1,086 well-characterized Alzheimer's disease cases, a single SNP (rs4420638) lying 14 kb distal to the ApoE locus has a powerful association with late-onset AD (corrected p value was 5.3 x 10 e-34).\", \"hash\": \"e9d34851d4821bce9c0a51e7cfea3990631cabc0e279965af21974bd40e47517317f56e80ce0304ea6aced9a18eecb7b526c6c196d5d6a57667d08ce0c8c357c\", \"key\": 0, \"line\": 298, \"relation\": \"association\", \"source\": 59, \"target\": 58}, {\"citation\": {\"name\": \"Systematic meta-analyses of Alzheimer disease genetic association studies: the AlzGene database.\", \"reference\": \"17192785\", \"type\": \"PubMed\"}, \"evidence\": \"The researchers found that on testing DNA samples from 1,086 well-characterized Alzheimer's disease cases, a single SNP (rs4420638) lying 14 kb distal to the ApoE locus has a powerful association with late-onset AD (corrected p value was 5.3 x 10 e-34).\", \"hash\": \"29b0926463f1786a90449d51115c0970328ce2150a75660518fb738a4021ed47d0732e999e127b6a06063b7072a066b5dff6abfd173c59d4a01c743aa68fdfda\", \"key\": 0, \"line\": 299, \"relation\": \"equivalentTo\", \"source\": 59, \"target\": 57}, {\"citation\": {\"reference\": \"23175194\", \"type\": \"PubMed\"}, \"evidence\": \"OBJECTIVE: To evaluate the combination of two factors: clinical dementia rating sum of boxes scores (CDR-SB) and hippocampal volume (HV) as predictors of conversion from mild cognitive impairment (MCI) to dementia. METHODS: Twenty-eight individuals (9 normal and 19 with MCI) were classified according to their CDR sum of boxes scores into 3 groups. RESULTS: The hippocampal volume was significantly lower in the high-risk group and in those who developed dementia after two years. The rate of conversion was crescent among the three groups.\", \"hash\": \"b5f058b7bcb66936283cf20b44c3c35a123e437d35f64e0cfb8a144de0cc4a4f4eb2bc7f906ddae08fc93435d828e8ab47941baffede3014719fc61e974868cf\", \"key\": 0, \"line\": 307, \"relation\": \"negativeCorrelation\", \"source\": 60, \"target\": 13}, {\"annotations\": {\"Confidence\": {\"Low\": true}, \"MeSHAnatomy\": {\"Hippocampus\": true}}, \"citation\": {\"reference\": \"25778476\", \"type\": \"PubMed\"}, \"evidence\": \"Expression quantitative trait locus analysis revealed that rs113986870, one of the GWS SNPs near rs2732703, is significantly associated with four KANSL1 probes that target transcription of the first translated exon and an untranslated exon in hippocampus (P≤1.3x10−8), frontal cortex (P≤1.3x10−9), and temporal cortex (P≤1.2x10−11)\", \"hash\": \"018a35b8217f3c0cdb732ee3dc8ab8cd0342d4371b9efbdb22932ba89295c49dedf9839e958850478214d0089d53f93d5b982ee51be48274a2630377bee9260e\", \"key\": 0, \"line\": 480, \"relation\": \"association\", \"source\": 60, \"target\": 91}, {\"annotations\": {\"Species\": {\"9606\": true}}, \"citation\": {\"name\": \"Neurobiol Aging. 2015 Jul;36(7):2232-2240.\", \"reference\": \"26043140\", \"type\": \"PubMed\"}, \"evidence\": \"In this analysis, we construct a δ ortholog representing the 'cognitive correlates of age' (cAGE). cAGE largely mediates age's effects on dementia severity, as rated by the Clinical Dementia Rating Scale Sum of boxes and has an area under the receiver operating curve = 0.96 for the diagnosis of Alzheimer's Disease versus controls.\", \"hash\": \"af78456e95b32e8518940f4fd6e6514e69f224541d2705a43c85c3569b3a32ebe4f3e6a840816507f6bb7b732cb8b538f9deccb616733f05ee032bbda47a8c7b\", \"key\": 0, \"line\": 314, \"relation\": \"association\", \"source\": 61, \"target\": 13}, {\"annotations\": {\"Anatomy\": {\"urine\": true}, \"Species\": {\"9606\": true}}, \"citation\": {\"name\": \"Clin Chim Acta. 2015 Feb 20;441:115-21\", \"reference\": 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\"CASP3\", \"namespace\": \"HGNC\"}, {\"cname\": \"rxn(reactants(p(HGNC:MAPT)), products(p(HGNC:MAPT, frag(152_*))))\", \"function\": \"Reaction\", \"id\": [\"Reaction\", [[\"Protein\", \"HGNC\", \"MAPT\"]], [[\"Protein\", \"HGNC\", \"MAPT\", [\"frag\", [152, \"*\"]]]]], \"products\": [{\"cname\": \"p(HGNC:MAPT, frag(152_*))\", \"function\": \"Protein\", \"name\": \"MAPT\", \"namespace\": \"HGNC\", \"variants\": [{\"kind\": \"frag\", \"start\": 152, \"stop\": \"*\"}]}], \"reactants\": [{\"function\": \"Protein\", \"name\": \"MAPT\", \"namespace\": \"HGNC\"}]}, {\"cname\": \"p(HGNC:MAPT, frag(152_*))\", \"function\": \"Protein\", \"id\": [\"Protein\", \"HGNC\", \"MAPT\", [\"frag\", [152, \"*\"]]], \"name\": \"MAPT\", \"namespace\": \"HGNC\", \"variants\": [{\"kind\": \"frag\", \"start\": 152, \"stop\": \"*\"}]}, {\"cname\": \"Mini mental state exam\", \"function\": \"Abundance\", \"id\": [\"Abundance\", \"NIFT\", \"Mini mental state exam\"], \"name\": \"Mini mental state exam\", \"namespace\": \"NIFT\"}, {\"cname\": \"Alzheimers disease assessment scale\", \"function\": \"Abundance\", \"id\": [\"Abundance\", \"NIFT\", \"Alzheimers disease assessment scale\"], \"name\": \"Alzheimers disease assessment scale\", \"namespace\": \"NIFT\"}, {\"cname\": \"Hallucinations\", \"function\": \"Pathology\", \"id\": [\"Pathology\", \"MESHD\", \"Hallucinations\"], \"name\": \"Hallucinations\", \"namespace\": \"MESHD\"}, {\"cname\": \"SERPINE1\", \"function\": \"Protein\", \"id\": [\"Protein\", \"HGNC\", \"SERPINE1\"], \"name\": \"SERPINE1\", \"namespace\": \"HGNC\"}, {\"cname\": \"Alzheimer questionnaire\", \"function\": \"Abundance\", \"id\": [\"Abundance\", \"NIFT\", \"Alzheimer questionnaire\"], \"name\": \"Alzheimer questionnaire\", \"namespace\": \"NIFT\"}, {\"cname\": \"ESR1\", \"function\": \"Protein\", \"id\": [\"Protein\", \"HGNC\", \"ESR1\"], \"name\": \"ESR1\", \"namespace\": \"HGNC\"}, {\"cname\": \"rs3853248\", \"function\": \"Gene\", \"id\": [\"Gene\", \"dbSNP\", \"rs3853248\"], \"name\": \"rs3853248\", \"namespace\": \"dbSNP\"}, {\"cname\": \"rs22334693\", \"function\": \"Gene\", \"id\": [\"Gene\", \"dbSNP\", \"rs22334693\"], \"name\": \"rs22334693\", \"namespace\": \"dbSNP\"}, {\"cname\": \"rs9340799\", \"function\": \"Gene\", \"id\": [\"Gene\", \"dbSNP\", \"rs9340799\"], \"name\": \"rs9340799\", \"namespace\": \"dbSNP\"}, {\"cname\": \"rs9397456\", \"function\": \"Gene\", \"id\": [\"Gene\", \"dbSNP\", \"rs9397456\"], \"name\": \"rs9397456\", \"namespace\": \"dbSNP\"}, {\"cname\": \"rs1801132\", \"function\": \"Gene\", \"id\": [\"Gene\", \"dbSNP\", \"rs1801132\"], \"name\": \"rs1801132\", \"namespace\": \"dbSNP\"}, {\"cname\": \"rs2179922\", \"function\": \"Gene\", \"id\": [\"Gene\", \"dbSNP\", \"rs2179922\"], \"name\": \"rs2179922\", \"namespace\": \"dbSNP\"}, {\"cname\": \"rs932477\", \"function\": \"Gene\", \"id\": [\"Gene\", \"dbSNP\", \"rs932477\"], \"name\": \"rs932477\", \"namespace\": \"dbSNP\"}, {\"cname\": \"rs9341016\", \"function\": \"Gene\", \"id\": [\"Gene\", \"dbSNP\", \"rs9341016\"], \"name\": \"rs9341016\", \"namespace\": \"dbSNP\"}, {\"cname\": \"Rey Auditory Verbal Learning Test\", \"function\": \"Abundance\", \"id\": [\"Abundance\", \"NIFT\", \"Rey Auditory Verbal Learning Test\"], \"name\": \"Rey Auditory Verbal Learning Test\", \"namespace\": \"NIFT\"}, {\"cname\": \"Ratio phospho tau to abeta 42 test\", \"function\": \"Abundance\", \"id\": [\"Abundance\", \"NIFT\", \"Ratio phospho tau to abeta 42 test\"], \"name\": \"Ratio phospho tau to abeta 42 test\", \"namespace\": \"NIFT\"}, {\"cname\": \"Dopamine transporter scan\", \"function\": \"Abundance\", \"id\": [\"Abundance\", \"NIFT\", \"Dopamine transporter scan\"], \"name\": \"Dopamine transporter scan\", \"namespace\": \"NIFT\"}, {\"cname\": \"DYRK1A\", \"function\": \"Protein\", \"id\": [\"Protein\", \"HGNC\", \"DYRK1A\"], \"name\": \"DYRK1A\", \"namespace\": \"HGNC\"}, {\"cname\": \"DYRK1B\", \"function\": \"Protein\", \"id\": [\"Protein\", \"HGNC\", \"DYRK1B\"], \"name\": \"DYRK1B\", \"namespace\": \"HGNC\"}, {\"cname\": \"manganese(2+)\", \"function\": \"Abundance\", \"id\": [\"Abundance\", \"CHEBI\", \"manganese(2+)\"], \"name\": \"manganese(2+)\", \"namespace\": \"CHEBI\"}, {\"cname\": \"PICALM\", \"function\": \"Gene\", \"id\": [\"Gene\", \"HGNC\", \"PICALM\"], \"name\": \"PICALM\", \"namespace\": \"HGNC\"}, {\"cname\": \"rs3851179\", \"function\": \"Gene\", \"id\": [\"Gene\", \"dbSNP\", \"rs3851179\"], \"name\": \"rs3851179\", \"namespace\": \"dbSNP\"}, {\"cname\": \"rs541458\", \"function\": \"Gene\", \"id\": [\"Gene\", \"dbSNP\", \"rs541458\"], \"name\": \"rs541458\", \"namespace\": \"dbSNP\"}, {\"cname\": \"BIN1\", \"function\": \"Gene\", \"id\": [\"Gene\", \"HGNC\", \"BIN1\"], \"name\": \"BIN1\", \"namespace\": \"HGNC\"}, {\"cname\": \"rs744373\", \"function\": \"Gene\", \"id\": [\"Gene\", \"dbSNP\", \"rs744373\"], \"name\": \"rs744373\", \"namespace\": \"dbSNP\"}, {\"cname\": \"late-onset Alzheimers disease\", \"function\": \"Pathology\", \"id\": [\"Pathology\", \"EFO\", \"late-onset Alzheimers disease\"], \"name\": \"late-onset Alzheimers disease\", \"namespace\": \"EFO\"}, {\"cname\": \"rs4420638\", \"function\": \"Gene\", \"id\": [\"Gene\", \"dbSNP\", \"rs4420638\"], \"name\": \"rs4420638\", \"namespace\": \"dbSNP\"}, {\"cname\": \"Late_Onset_Alzheimer_s_Disease\", \"function\": \"Pathology\", \"id\": [\"Pathology\", \"ADO\", \"Late_Onset_Alzheimer_s_Disease\"], \"name\": \"Late_Onset_Alzheimer_s_Disease\", \"namespace\": \"ADO\"}, {\"cname\": \"Hippocampus volume\", \"function\": \"Abundance\", \"id\": [\"Abundance\", \"NIFT\", \"Hippocampus volume\"], \"name\": \"Hippocampus volume\", \"namespace\": \"NIFT\"}, {\"cname\": \"Cognitive Aging\", \"function\": \"BiologicalProcess\", \"id\": [\"BiologicalProcess\", \"MESHPP\", \"Cognitive Aging\"], \"name\": \"Cognitive Aging\", \"namespace\": \"MESHPP\"}, {\"cname\": \"3-HPMA/Cre ratio\", \"function\": \"Abundance\", \"id\": [\"Abundance\", \"NIFT\", \"3-HPMA/Cre ratio\"], \"name\": \"3-HPMA/Cre ratio\", \"namespace\": \"NIFT\"}, {\"cname\": \"Abeta_40_42_ratio\", \"function\": \"Abundance\", \"id\": [\"Abundance\", \"NIFT\", \"Abeta_40_42_ratio\"], \"name\": \"Abeta_40_42_ratio\", \"namespace\": \"NIFT\"}, {\"cname\": \"InChI=1S/C8H15NO4S/c1-6(11)9-7(8(12)13)5-14-4-2-3-10/h7,10H,2-5H2,1H3,(H,9,11)(H,12,13)/t7-/m0/s1\", \"function\": \"Abundance\", \"id\": [\"Abundance\", \"InChI\", \"InChI=1S/C8H15NO4S/c1-6(11)9-7(8(12)13)5-14-4-2-3-10/h7,10H,2-5H2,1H3,(H,9,11)(H,12,13)/t7-/m0/s1\"], \"name\": \"InChI=1S/C8H15NO4S/c1-6(11)9-7(8(12)13)5-14-4-2-3-10/h7,10H,2-5H2,1H3,(H,9,11)(H,12,13)/t7-/m0/s1\", \"namespace\": \"InChI\"}, {\"cname\": \"creatinine\", \"function\": \"Abundance\", \"id\": [\"Abundance\", \"CHEBI\", \"creatinine\"], \"name\": \"creatinine\", \"namespace\": \"CHEBI\"}, {\"cname\": \"NEFL\", \"function\": \"Protein\", \"id\": [\"Protein\", \"HGNC\", \"NEFL\"], \"name\": \"NEFL\", \"namespace\": \"HGNC\"}, {\"cname\": \"SLC6A3\", \"function\": \"Protein\", \"id\": [\"Protein\", \"HGNC\", \"SLC6A3\"], \"name\": \"SLC6A3\", \"namespace\": \"HGNC\"}, {\"cname\": \"complex(a(InChI:\\\"InChI=1S/C22H21NO3/c1-17(24)23(16-18-10-6-8-14-21(18)25-2)20-13-7-9-15-22(20)26-19-11-4-3-5-12-19/h3-15H,16H2,1-2H3/i2-1\\\"), p(HGNC:TSPO))\", \"function\": \"Complex\", \"id\": [\"Complex\", [\"Abundance\", \"InChI\", \"InChI=1S/C22H21NO3/c1-17(24)23(16-18-10-6-8-14-21(18)25-2)20-13-7-9-15-22(20)26-19-11-4-3-5-12-19/h3-15H,16H2,1-2H3/i2-1\"], [\"Protein\", \"HGNC\", \"TSPO\"]], \"members\": [{\"cname\": \"InChI=1S/C22H21NO3/c1-17(24)23(16-18-10-6-8-14-21(18)25-2)20-13-7-9-15-22(20)26-19-11-4-3-5-12-19/h3-15H,16H2,1-2H3/i2-1\", \"function\": \"Abundance\", \"name\": \"InChI=1S/C22H21NO3/c1-17(24)23(16-18-10-6-8-14-21(18)25-2)20-13-7-9-15-22(20)26-19-11-4-3-5-12-19/h3-15H,16H2,1-2H3/i2-1\", \"namespace\": \"InChI\"}, {\"cname\": \"TSPO\", \"function\": \"Protein\", \"name\": \"TSPO\", \"namespace\": \"HGNC\"}]}, {\"cname\": \"InChI=1S/C22H21NO3/c1-17(24)23(16-18-10-6-8-14-21(18)25-2)20-13-7-9-15-22(20)26-19-11-4-3-5-12-19/h3-15H,16H2,1-2H3/i2-1\", \"function\": \"Abundance\", \"id\": [\"Abundance\", \"InChI\", \"InChI=1S/C22H21NO3/c1-17(24)23(16-18-10-6-8-14-21(18)25-2)20-13-7-9-15-22(20)26-19-11-4-3-5-12-19/h3-15H,16H2,1-2H3/i2-1\"], \"name\": \"InChI=1S/C22H21NO3/c1-17(24)23(16-18-10-6-8-14-21(18)25-2)20-13-7-9-15-22(20)26-19-11-4-3-5-12-19/h3-15H,16H2,1-2H3/i2-1\", \"namespace\": \"InChI\"}, {\"cname\": \"TSPO\", \"function\": \"Protein\", \"id\": [\"Protein\", \"HGNC\", \"TSPO\"], \"name\": \"TSPO\", \"namespace\": \"HGNC\"}, {\"cname\": \"Logical Memory Immediate\", \"function\": \"Abundance\", \"id\": [\"Abundance\", \"NIFT\", \"Logical Memory Immediate\"], \"name\": \"Logical Memory Immediate\", \"namespace\": \"NIFT\"}, {\"cname\": \"short-term memory\", \"function\": \"Pathology\", \"id\": [\"Pathology\", \"GOBP\", \"short-term memory\"], \"name\": \"short-term memory\", \"namespace\": \"GOBP\"}, {\"cname\": \"2-(4'-(methylamino)phenyl)-6-hydroxybenzothiazole\", \"function\": \"Abundance\", \"id\": [\"Abundance\", \"MESHC\", \"2-(4'-(methylamino)phenyl)-6-hydroxybenzothiazole\"], \"name\": \"2-(4'-(methylamino)phenyl)-6-hydroxybenzothiazole\", \"namespace\": \"MESHC\"}, {\"cname\": \"KAT8\", \"function\": \"Protein\", \"id\": [\"Protein\", \"HGNC\", \"KAT8\"], \"name\": \"KAT8\", \"namespace\": \"HGNC\"}, {\"cname\": \"regulation of oxidative phosphorylation\", \"function\": \"BiologicalProcess\", \"id\": [\"BiologicalProcess\", \"GOBP\", \"regulation of oxidative phosphorylation\"], \"name\": \"regulation of oxidative phosphorylation\", \"namespace\": \"GOBP\"}, {\"cname\": \"mitochondrial damage\", \"function\": \"Pathology\", \"id\": [\"Pathology\", \"SDIS\", \"mitochondrial damage\"], \"name\": \"mitochondrial damage\", \"namespace\": \"SDIS\"}, {\"cname\": \"reactive oxygen species\", \"function\": \"Abundance\", \"id\": [\"Abundance\", \"CHEBI\", \"reactive oxygen species\"], \"name\": \"reactive oxygen species\", \"namespace\": \"CHEBI\"}, {\"cname\": \"cell death\", \"function\": \"BiologicalProcess\", \"id\": [\"BiologicalProcess\", \"GOBP\", \"cell death\"], \"name\": \"cell death\", \"namespace\": \"GOBP\"}, {\"cname\": \"apoptotic process\", \"function\": \"BiologicalProcess\", \"id\": [\"BiologicalProcess\", \"GOBP\", \"apoptotic process\"], \"name\": \"apoptotic process\", \"namespace\": \"GOBP\"}, {\"cname\": \"BACE1\", \"function\": \"Protein\", \"id\": [\"Protein\", \"HGNC\", \"BACE1\"], \"name\": \"BACE1\", \"namespace\": \"HGNC\"}, {\"cname\": \"KAT5\", \"function\": \"Protein\", \"id\": [\"Protein\", \"HGNC\", \"KAT5\"], \"name\": \"KAT5\", \"namespace\": \"HGNC\"}, {\"cname\": \"GSK3B\", \"function\": \"Protein\", \"id\": [\"Protein\", \"HGNC\", \"GSK3B\"], \"name\": \"GSK3B\", \"namespace\": \"HGNC\"}, {\"cname\": \"TP53\", \"function\": \"Protein\", \"id\": [\"Protein\", \"HGNC\", \"TP53\"], \"name\": \"TP53\", \"namespace\": \"HGNC\"}, {\"cname\": \"SOD2\", \"function\": \"Protein\", \"id\": [\"Protein\", \"HGNC\", \"SOD2\"], \"name\": \"SOD2\", \"namespace\": \"HGNC\"}, {\"cname\": \"CD82\", \"function\": \"Protein\", \"id\": [\"Protein\", \"HGNC\", \"CD82\"], \"name\": \"CD82\", \"namespace\": \"HGNC\"}, {\"cname\": \"MME\", \"function\": \"Protein\", \"id\": [\"Protein\", \"HGNC\", \"MME\"], \"name\": \"MME\", \"namespace\": \"HGNC\"}, {\"cname\": \"TAGLN\", \"function\": \"Protein\", \"id\": [\"Protein\", \"HGNC\", \"TAGLN\"], \"name\": \"TAGLN\", \"namespace\": \"HGNC\"}, {\"cname\": \"ACTA2\", \"function\": \"Protein\", \"id\": [\"Protein\", \"HGNC\", \"ACTA2\"], \"name\": \"ACTA2\", \"namespace\": \"HGNC\"}, {\"cname\": \"S100A9\", \"function\": \"Protein\", \"id\": [\"Protein\", \"HGNC\", \"S100A9\"], \"name\": \"S100A9\", \"namespace\": \"HGNC\"}, {\"cname\": \"KANSL1\", \"function\": \"Protein\", \"id\": [\"Protein\", \"HGNC\", \"KANSL1\"], \"name\": \"KANSL1\", \"namespace\": \"HGNC\"}, {\"cname\": \"rs2732703\", \"function\": \"Gene\", \"id\": [\"Gene\", \"dbSNP\", \"rs2732703\"], \"name\": \"rs2732703\", \"namespace\": \"dbSNP\"}]}, \"#zcqgktpfvusjhqby\", 1000, 650, {'Protein': '#1F77B4', 'Pathology': '#FF7F0E', 'BiologicalProcess': '#2CA02C', 'miRNA': '#D62728', 'Complex': '#9467bd', 'Composite': '#9467bd', 'Reaction': '#8c564b', 'Gene': '#e377c2', 'Abundance': '#bcbd22', 'RNA': '#17becf'});\n",
       "});"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "to_jupyter(graph)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "False\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/local/lib/python3.6/site-packages/networkx/drawing/nx_pylab.py:126: MatplotlibDeprecationWarning: pyplot.hold is deprecated.\n",
      "    Future behavior will be consistent with the long-time default:\n",
      "    plot commands add elements without first clearing the\n",
      "    Axes and/or Figure.\n",
      "  b = plt.ishold()\n",
      "/usr/local/lib/python3.6/site-packages/networkx/drawing/nx_pylab.py:522: MatplotlibDeprecationWarning: The is_string_like function was deprecated in version 2.1.\n",
      "  if not cb.is_string_like(edge_color) \\\n",
      "/usr/local/lib/python3.6/site-packages/networkx/drawing/nx_pylab.py:543: MatplotlibDeprecationWarning: The is_string_like function was deprecated in version 2.1.\n",
      "  if cb.is_string_like(edge_color) or len(edge_color) == 1:\n",
      "/usr/local/lib/python3.6/site-packages/networkx/drawing/nx_pylab.py:138: MatplotlibDeprecationWarning: pyplot.hold is deprecated.\n",
      "    Future behavior will be consistent with the long-time default:\n",
      "    plot commands add elements without first clearing the\n",
      "    Axes and/or Figure.\n",
      "  plt.hold(b)\n",
      "/usr/local/lib/python3.6/site-packages/matplotlib/__init__.py:805: MatplotlibDeprecationWarning: axes.hold is deprecated. Please remove it from your matplotlibrc and/or style files.\n",
      "  mplDeprecation)\n",
      "/usr/local/lib/python3.6/site-packages/matplotlib/rcsetup.py:155: MatplotlibDeprecationWarning: axes.hold is deprecated, will be removed in 3.0\n",
      "  mplDeprecation)\n"
     ]
    },
    {
     "data": {
      "image/png": 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RUVGcMmUKtVotNRoN/fz8mJCQ4Aji2NhYajQa+vj48H//+x8ffvhhWiwWvvzy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\n15E6g7ZZs2Y0GAy0Wq3s3bt3gWU7ISEh6rDxokWLSvyFwRm0vr6+1Gg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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1200ece48>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "G = nx.binomial_graph(n=50, p=0.5, directed=True)\n",
    "\n",
    "print(nx.is_directed_acyclic_graph(G))\n",
    "%matplotlib inline\n",
    "nx.draw(G)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "47\n",
      "47\n",
      "47\n",
      "47\n",
      "47\n"
     ]
    }
   ],
   "source": [
    "for _ in range(5):\n",
    "    list(nx.dfs_postorder_nodes(g))[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>0</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
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       "      <th>6</th>\n",
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       "      <th>8</th>\n",
       "      <th>9</th>\n",
       "      <th>...</th>\n",
       "      <th>40</th>\n",
       "      <th>41</th>\n",
       "      <th>42</th>\n",
       "      <th>43</th>\n",
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       "      <th>45</th>\n",
       "      <th>46</th>\n",
       "      <th>47</th>\n",
       "      <th>48</th>\n",
       "      <th>49</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
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       "      <td>0</td>\n",
       "      <td>100</td>\n",
       "    </tr>\n",
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       "      <th>1</th>\n",
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       "      <td>0</td>\n",
       "      <td>100</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
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       "      <td>...</td>\n",
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       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>100</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
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       "      <td>0</td>\n",
       "      <td>...</td>\n",
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       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>100</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
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       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0</td>\n",
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       "      <td>100</td>\n",
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       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>100</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>100</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>100</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>100</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>100</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>100</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>100</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>100</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>100</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>45</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>100</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>100</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>47</th>\n",
       "      <td>100</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>48</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>100</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49</th>\n",
       "      <td>0</td>\n",
       "      <td>100</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>50 rows × 50 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "     0    1    2    3    4    5    6    7    8    9  ...    40   41   42   43  \\\n",
       "0     0    0    0    0    0    0    0    0    0    0 ...     0    0    0    0   \n",
       "1     0    0    0    0    0    0    0    0    0    0 ...     0    0    0    0   \n",
       "2     0    0    0    0    0    0    0    0    0    0 ...     0    0    0    0   \n",
       "3     0    0    0    0    0    0    0    0    0    0 ...     0    0    0    0   \n",
       "4     0    0    0    0    0    0    0    0    0    0 ...     0    0    0    0   \n",
       "5     0    0    0    0    0    0    0    0    0    0 ...     0    0    0  100   \n",
       "6     0    0    0    0    0    0    0    0    0    0 ...     0    0  100    0   \n",
       "7     0    0    0    0    0    0    0    0    0    0 ...     0    0    0    0   \n",
       "8     0    0    0    0    0    0    0    0    0    0 ...     0  100    0    0   \n",
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       "10    0    0    0    0    0    0    0    0    0    0 ...   100    0    0    0   \n",
       "11    0    0    0    0    0    0    0    0    0    0 ...     0    0    0    0   \n",
       "12    0    0    0    0    0    0    0    0    0    0 ...     0    0    0    0   \n",
       "13    0    0    0    0    0    0    0    0    0    0 ...     0    0    0    0   \n",
       "14    0    0    0    0    0    0    0    0    0    0 ...     0    0    0    0   \n",
       "15    0    0    0    0    0    0    0    0    0    0 ...     0    0    0    0   \n",
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       "17    0    0    0    0    0    0    0    0    0    0 ...     0    0    0    0   \n",
       "18    0    0    0    0    0    0    0    0    0    0 ...     0    0    0    0   \n",
       "19    0    0    0    0    0    0    0    0    0    0 ...     0    0    0    0   \n",
       "20    0    0    0    0    0    0    0    0    0    0 ...     0    0    0    0   \n",
       "21    0    0    0    0    0    0    0    0    0    0 ...     0    0    0    0   \n",
       "22    0    0    0    0    0    0    0    0    0    0 ...     0    0    0    0   \n",
       "23    0    0    0    0    0    0    0    0    0    0 ...     0    0    0    0   \n",
       "24    0    0    0    0    0    0    0    0    0    0 ...     0    0    0    0   \n",
       "25    0    0    0    0    0    0    0    0    0    0 ...     0    0    0    0   \n",
       "26    0    0    0    0    0    0    0    0    0    0 ...     0    0    0    0   \n",
       "27    0    0    0    0    0    0    0    0    0    0 ...     0    0    0    0   \n",
       "28    0    0    0    0    0    0    0    0    0    0 ...     0    0    0    0   \n",
       "29    0    0    0    0    0    0    0    0    0    0 ...     0    0    0    0   \n",
       "30    0    0    0    0    0    0    0    0    0    0 ...     0    0    0    0   \n",
       "31    0    0    0    0    0    0    0    0    0    0 ...     0    0    0    0   \n",
       "32    0    0    0    0    0    0    0    0    0    0 ...     0    0    0    0   \n",
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       "39    0    0    0    0    0    0    0    0  100    0 ...     0    0    0    0   \n",
       "40    0    0    0    0    0    0    0    0    0    0 ...     0    0    0    0   \n",
       "41    0    0    0    0    0    0    0    0    0  100 ...     0    0    0    0   \n",
       "42    0    0    0    0    0    0  100    0    0    0 ...     0    0    0    0   \n",
       "43    0    0    0    0  100    0    0    0    0    0 ...     0    0    0    0   \n",
       "44    0    0    0  100    0    0    0    0    0    0 ...     0    0    0    0   \n",
       "45    0    0    0    0    0    0    0  100    0    0 ...     0    0    0    0   \n",
       "46    0    0    0    0    0  100    0    0    0    0 ...     0    0    0    0   \n",
       "47  100    0    0    0    0    0    0    0    0    0 ...     0    0    0    0   \n",
       "48    0    0  100    0    0    0    0    0    0    0 ...     0    0    0    0   \n",
       "49    0  100    0    0    0    0    0    0    0    0 ...     0    0    0    0   \n",
       "\n",
       "     44   45   46   47   48   49  \n",
       "0     0    0    0    0    0  100  \n",
       "1     0    0    0    0  100    0  \n",
       "2     0    0  100    0    0    0  \n",
       "3     0    0    0  100    0    0  \n",
       "4     0  100    0    0    0    0  \n",
       "5     0    0    0    0    0    0  \n",
       "6     0    0    0    0    0    0  \n",
       "7   100    0    0    0    0    0  \n",
       "8     0    0    0    0    0    0  \n",
       "9     0    0    0    0    0    0  \n",
       "10    0    0    0    0    0    0  \n",
       "11    0    0    0    0    0    0  \n",
       "12    0    0    0    0    0    0  \n",
       "13    0    0    0    0    0    0  \n",
       "14    0    0    0    0    0    0  \n",
       "15    0    0    0    0    0    0  \n",
       "16    0    0    0    0    0    0  \n",
       "17    0    0    0    0    0    0  \n",
       "18    0    0    0    0    0    0  \n",
       "19    0    0    0    0    0    0  \n",
       "20    0    0    0    0    0    0  \n",
       "21    0    0    0    0    0    0  \n",
       "22    0    0    0    0    0    0  \n",
       "23    0    0    0    0    0    0  \n",
       "24    0    0    0    0    0    0  \n",
       "25    0    0    0    0    0    0  \n",
       "26    0    0    0    0    0    0  \n",
       "27    0    0    0    0    0    0  \n",
       "28    0    0    0    0    0    0  \n",
       "29    0    0    0    0    0    0  \n",
       "30    0    0    0    0    0    0  \n",
       "31    0    0    0    0    0    0  \n",
       "32    0    0    0    0    0    0  \n",
       "33    0    0    0    0    0    0  \n",
       "34    0    0    0    0    0    0  \n",
       "35    0    0    0    0    0    0  \n",
       "36    0    0    0    0    0    0  \n",
       "37    0    0    0    0    0    0  \n",
       "38    0    0    0    0    0    0  \n",
       "39    0    0    0    0    0    0  \n",
       "40    0    0    0    0    0    0  \n",
       "41    0    0    0    0    0    0  \n",
       "42    0    0    0    0    0    0  \n",
       "43    0    0    0    0    0    0  \n",
       "44    0    0    0    0    0    0  \n",
       "45    0    0    0    0    0    0  \n",
       "46    0    0    0    0    0    0  \n",
       "47    0    0    0    0    0    0  \n",
       "48    0    0    0    0    0    0  \n",
       "49    0    0    0    0    0    0  \n",
       "\n",
       "[50 rows x 50 columns]"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import networkx as nx\n",
    "import pandas as pd\n",
    "from collections import defaultdict\n",
    "\n",
    "def pseudotoposort_runner(g, trials=None):\n",
    "    \"\"\"\n",
    "\n",
    "    1. Randomly select a spanning DAG with a randomized DFS\n",
    "    2. Return topological sort\n",
    "    3. Repeat multiple times\n",
    "\n",
    "    Return a matrix with one axis - nodes, one axis - position\n",
    "\n",
    "    :param graph:\n",
    "    :param Optional[int] trials: Number of trials to run. Defaults to 100.\n",
    "    :rtype: list[list]\n",
    "    \"\"\"\n",
    "    if nx.is_directed_acyclic_graph(g):\n",
    "        raise ValueError('Graph is a dag!')\n",
    "\n",
    "    r = defaultdict(lambda: defaultdict(int))\n",
    "\n",
    "    for _ in range(100):\n",
    "        order = nx.dfs_postorder_nodes(g)\n",
    "        for i, node in enumerate(order):\n",
    "            r[i][node] += 1\n",
    "    \n",
    "    result = pd.DataFrame(r)\n",
    "    result[result.isna()] = 0\n",
    "    \n",
    "    return result.astype(int)\n",
    "\n",
    "pseudotoposort_runner(G)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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