2020-09-11/sex-biological-covariate.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Sex as a biological covariate in genetic studies\n",
    "#### Webinar for Quantitative Genetics Tools  \n",
    "#### NIDA Center of Excellence in Omics, Systems Genetics, and the Addictome\n",
    "\n",
    "Saunak Sen  \n",
    "Professor and Chief of Biostatistics  \n",
    "Deparment of Preventive Medicine  \n",
    "University of Tennessee Health Science Center  \n",
    "sen@uthsc.edu ~ @saunaksen ~ http://www.senresearch.org\n",
    "\n",
    "2020-09-11 \n",
    "\n",
    "Please mute your speakers to reduce any ambient noise that may interfere with others hearing.  \n",
    "\n",
    "Please ask questions using the chat option at the bottom of your screen."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Overview\n",
    "\n",
    "- Overview of QTL studies\n",
    "- Design considerations with sex\n",
    "- Sex as a covariate in QTL analysis\n",
    "- X chromosome segregation\n",
    "- Proper analysis of X chromosome"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Experimental crosses\n",
    "\n",
    "If two inbred rat strains show consistent difference in a\n",
    "phenotype in the same environment, we know the difference must\n",
    "be genetic. \n",
    "\n",
    "By crossing two rat strains we can create a population of \n",
    "(approximately) randomly shuffled genomes.\n",
    "\n",
    "Association between phenotype and genotype may be interpreted to\n",
    "be causal.\n",
    "\n",
    "Examples include, backcross and intercross populations,\n",
    "heterogeneous stock, recombinant inbred lines.\n",
    "\n",
    "QTL: Quantitative trait loci are genetic loci contributing to\n",
    "variation in quantitative traits"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Intercross and heterogeneous stock\n",
    "\n",
    "![CrossFigure](images/HSratsFig1.png)\n",
    "\n",
    "Credit: Ratgenes.org"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Causal model for QTL inducing correlation between marker and phenotype"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
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/XBwmM1Iz1OSXS7z7tD8xFAAAEEEEAAgawKsIQjq7z+qHzFihW2HvohJdELFyxY\nsL8/Wk0rEUAAAQQQQACB/AgwA50fd8+dVbf5Lho9enSrkuhRatyhWiO9ynONpEEIIIAAAggg\ngIAHBEigPTAIXmlCY2Pj4GHDhj2opRyfUIzRco51Xmkb7UAAAQQQQAABBLwiQALtlZHwSDui\n0egukUjkMTVnR8U4XeKuwyNNoxkIIIAAAggggIAnBFgD7Ylh8E4jampq3uvs7JysFhUqHqiv\nr9/JO62jJQgggAACCCCAQP4FmIHO/xh4sgW6NvTHCwoKlqpxf1VCfZQS65gnG0qjEEAAAQQQ\nQACBHAswA51jcL+crqqqao3aWqYPFR5YXFx8p5Z22Iw0BQEEEEAAAQQQCL0ACXTovwWSA2j9\n80q7wYr2GKN10Q165C8Wybl4BQEEEEAAAQRCIkACHZKBzrSbuhLHq93d3RM1E13R2tp6Xab1\ncBwCCCCAAAIIIBAUARLooIxkFvuh5RzLVP1RipOVRF+RxVNRNQIIIIAAAggg4HkBEmjPD5E3\nGqgbq9gHCqsUF7S1tV3sjVbRCgQQQAABBBBAIPcCrGnNvbmvz9jS0jJdyznmK05XUv0bX3eG\nxiOAAAIIIIAAAhkIkEBngBb2Q7SMo1YG9UqiZyqJvivsHvQfAQQQQAABBMIlwBKOcI23K73V\n1TkadKvv8xW3aTnHFFcqpRIEEEAAAQQQQMAnAsxA+2SgvNhMWwutJPoSXepukj5ouMSLbaRN\nCCCAAAIIIICA2wIk0G6Lhqw+JdF2abvZSqQP18z070PWfbqLAAIIIIAAAiEUIIEO4aC73OVB\nWhM9V3UerVt+j9Utv19xuX6qQwABBBBAAAEEPCXAGmhPDYcvG7NFifPJavli3fJ7kW75/Rlf\n9oJGI4AAAggggAACKQowA50iFLv1L6DEuVi3+75Pe+2nNdGHak30mv6P4FUEEEAAAQQQQMCf\nAsxA+3PcPNdqLd2IrVu3rkKXtltTWFi4SNeL3t1zjaRBCCCAAAIIIICACwLMQLuASBUfCmgm\nejfNRC/Wls7169cfWVtbu+HDV3mGAAIIIIAAAgj4X4AE2v9j6LkeKIneQ+uhl+rKHP/o6OiY\nNHv27M2eayQNQgABBBBAAAEEMhRgCUeGcByWXEDLOd7q7u4u0x57Dxs2bEFdXV1R8r15BQEE\nEEAAAQQQ8JcACbS/xss3rdWHCFcriR6vBn+ptLT0NiXRfK/5ZvRoKAIIIIAAAgj0J0BS058O\nrw1IoLq6+k9dXV0TVMnE0aNH3zCgyjgYAQQQQAABBBDwiAAJtEcGIqjNUBK9QjPRU3R1jpm6\na+FPg9pP+oUAAggggAAC4REggQ7PWOetp1rO8Tt9oHCaGnCWkugf5a0hnBgBBBBAAAEEEHBB\ngATaBUSq2L5ARUXFY7rByrHa82JdI/o72z+CPRBAAAEEEEAAAW8KcBk7b45LYFvV2tp6gjp3\ni2K2kurbAttROoYAAggggAACgRUggQ7s0Hq3Y1rG8W217jot65iuJLrNuy2lZQgggAACCCCA\nwL8LsITj303YkmWB8vLyX+sUl+mDhXc2Nzfb9aIpCCCAAAIIIICAbwSYgfbNUAWvoVrOcYWS\n6HPspiv2QcPg9ZAeIYAAAggggEAQBUiggziqPuqTPlB4o5LoY5VEH2aXvPNR02kqAggggAAC\nCIRUgCUcIR14r3R7xYoVth76oaKiooULFizY3yvtoh0IIIAAAggggEAyAWagk8mwPWcCus13\nke5U2KqZ6FE66aFaI70qZyfnRAgggAACCCCAQJoCJNBpgrF7dgQaGxsHl5SUPKTa99LVOcZU\nVlauy86ZqBUBBBBAAAEEEBiYAAn0wPw42kWBhoaGocOHD39MVUYUh+sSdx0uVk9VCCCAAAII\nIICAKwKsgXaFkUrcEKitrd3Q2dk5SUs5LIF+oL6+fic36qUOBBBAAAEEEEDATQFmoN3UpC5X\nBHRt6I8XFBQ8pcr+ooT6qJqampgrFVMJAggggAACCCDgggAz0C4gUoW7Arom9BolzmWaiT4w\nEonMj0ajhe6egdoQQAABBBBAAIHMBUigM7fjyCwKaNb5jZ6envFKoscqiW7QqfhrSRa9qRoB\nBBBAAAEEUhcggU7dij1zLKArcbyqK3LYmuiKtra2X+T49JwOAQQQQAABBBDoU4AEuk8WNnpF\nQFfi+L3acpQS6VN06+/LvdIu2oEAAggggAAC4RUggQ7v2Pum57qxylI1tkpxoZLoi3zTcBqK\nAAIIIIAAAoEUYF1pIIc1mJ1S8lyjnt2hJR2nK6n+TTB7Sa8QQAABBBBAwOsCJNBeHyHa9xEB\nJdG12lCvOF7LO6IfeZEvEEAAAQQQQACBHAiwhCMHyJzCPQElzQ1aD32+apynZHqyezVTEwII\nIIAAAgggkJoAM9CpObGXxwSUPF+iJl2sS91N0nWjl3iseTQHAQQQQAABBAIsQAId4MENetd0\nabvr1MdvaUb6iPjVOoLeZfqHAAIIIIAAAh4QIIH2wCDQhIwFBmkmeq4+VHiUZqLH2nWjM66J\nAxFAAAEEEEAAgRQFWAOdIhS7eVJgi275fbJmoJcUFBQ8qlt+f8aTraRRCCCAAAIIIBAoAWag\nAzWc4eyMEudi3e77PvV+P81EH6o10WvCKUGvEUAAAQQQQCAXAsxA50KZc2RVoKamJrZu3boK\nneQfhYWFi5RQD8/qCakcAQQQQAABBEItwAx0qIc/WJ1X4rybZqIXq1ed69evP7K2tnZDsHpI\nbxBAAAEEEEDACwIk0F4YBdrgmkBLS8sIrYdeonXRazo6OibPnj17s2uVUxECCCCAAAIIICAB\nlnDwbRAoAV2JY506NF5X5tinpKTk7rq6uqJAdZDOIIAAAggggEDeBUig8z4ENMBtgfLy8lVd\nXV1lSqK/PHr06CYl0Xyfu41MfQgggAACCIRYgMQixIMf5K5XV1f/SUn0BCXRk5RE3xDkvtI3\nBBBAAAEEEMitAAl0br05Ww4FlESv6O7unqIkeqbuWvjTHJ6aUyGAAAIIIIBAgAVIoAM8uHRt\nhx10Tejf6QOF02Rxlu5aWIcJAggggAACCCAwUAES6IEKcrznBSoqKh5TEn2cZqJ/oKt0fMfz\nDaaBCCCAAAIIIOBpAS5j5+nhoXFuCmgG+kTV16iYraT6Njfrpi4EEEAAAQQQCI8AM9DhGevQ\n99SSZs1En62Z6LmaibZlHRQEEEAAAQQQQCBtAWag0ybjAL8L6AOFF6sPP1QyPdWWd/i9P7Qf\nAQQQQAABBHIrQAKdW2/O5hEBJdFXqinf01U6yuyDhh5pFs1AAAEEEEAAAR8IkED7YJBoYnYE\ntCa6Xss5put60ePsknfZOQu1IoAAAggggEDQBFgDHbQRpT8pC7S3t5+hnR8pKipauGDBgv1T\nPpAdEUAAAQQQQCDUAsxAh3r46bxu812kOxW2aiZ6lDQOtduAo4IAAggggAACCPQnQALdnw6v\nhUKgsbFxcElJyUNKoj8ei8XG1NTUvBWKjtNJBBBAAAEEEMhIgAQ6IzYOCppAQ0PD0OHDh9sV\nOSKdnZ3jlES/E7Q+0h8EEEAAAQQQcEeANdDuOFKLzwVqa2s3KHGepFnoSHFx8QP19fU7+bxL\nNB8BBBBAAAEEsiTADHSWYKnWnwLNzc0fLygoeEqt/7MS6qM1Ex3zZ09oNQIIIIAAAghkS4AZ\n6GzJUq8vBXRN6DVKnMs0E31wJBKZH41GC33ZERqNAAIIIIAAAlkTIIHOGi0V+1VAs85v9PT0\nWBI9Vkn0b9QP/lLj18Gk3QgggAACCGRBgAQ6C6hU6X+BysrKV3Wrb1sTXam7Fv7C/z2iBwgg\ngAACCCDglgAJtFuS1BM4gYqKit/rVt9HK5E+RUn01YHrIB1CAAEEEEAAgYwESKAzYuOgsAho\nTfQSzUJXK4n+fktLy7lh6Tf9RAABBBBAAIHkAqztTG7DKwhsE2htba3RF3coTtPMdMO2F3iC\nAAIIIIAAAqETIIEO3ZDT4UwFtIzjZM1E36jjj1cSHc20Ho5DAAEEEEAAAX8LsITD3+NH63Mo\nUF5eblfkuEAxTzPSk3N4ak6FAAIIIIAAAh4SYAbaQ4NBU/whoOT5UrX0Iq2Nnqikeqk/Wk0r\nEUAAAQQQQMAtARJotySpJ1QCSqLnKIGepSUdR9jVOkLVeTqLAAIIIIBAyAVIoEP+DUD3MxYY\npCS6UUn0VN10ZaxdNzrjmjgQAQQQQAABBHwlwBpoXw0XjfWQwBbd8rtWM9BLCgoKFimZ3ttD\nbaMpCCCAAAIIIJBFAWags4hL1cEXiEajxbrd9/3q6T6aiR6j60avCX6v6SECCCCAAALhFmAG\nOtzjT+8HKFBTUxNbt25duapZW1hYuEgJ9fABVsnhCCCAAAIIIOBxAWagPT5ANM8fAlrCUaKW\nPqHoXL9+/ZG1tbUb/NFyWokAAggggAAC6QqQQKcrxv4IJBHQrb5H6EOFdlm7Nzs6OibPnj17\nc5Jd2YwAAggggAACPhZgCYePB4+me0tAV+JYpwS6TLFPSUnJ3XV1dUXeaiGtQQABBBBAAAE3\nBEig3VCkDgTiArqxyqquri5Lor88evToJiXR/B/juwMBBBBAAIGACfDLPWADSnfyL1BdXf0n\nJdET1JLJo0aN+nX+W0QLEEAAAQQQQMBNARJoNzWpC4G4gJLoFbpG9BRdI/oEfcDwv4FBAAEE\nEEAAgeAIkEAHZyzpiccEtCb6me7u7nIt5zhbHzD8oceaR3MQQAABBBBAIEMBrsKRIRyHIZCq\ngGagLYm+W/ufrTXSLOlIFY79EEAAAQQQ8KgACbRHB4ZmBUtASfSJ6lGj4lsVFRXzgtU7eoMA\nAggggEC4BFjCEa7xprd5ElDSfJvWRJ+tmehGLeeYlqdmcFoEEEAAAQQQcEGAGWgXEKkCgVQF\nlDz/QB8svFTJ9FQl1Y+lehz7IYAAAggggIB3BEigvTMWtCQkAlrOcZVmos/SBwzLqqqqfheS\nbtNNBBBAAAEEAiNAAh2YoaQjfhJQEl2vJHq6rhc9zi5556e201YEEEAAAQTCLsAa6LB/B9D/\nvAi0t7efoRM/UlRUtHDBggX756URnBQBBBBAAAEEMhJgBjojNg5CYOAC9fX1kZEjR7ZqPfTB\nPT09h2o5x+qB10oNCCCAAAIIIJBtARLobAtTPwL9CDQ2Ng4uKSl5WMs59ozFYmNqamre6md3\nXkIAAQQQQAABDwiQQHtgEGhCuAUaGhqGDh8+3K7IEens7BynJPqdcIvQewQQQAABBLwtwBpo\nb48PrQuBQG1t7QYt45isWehIcXHxA1rasVMIuk0XEUAAAQQQ8K0AM9C+HToaHjSB5ubmj+sa\n0U+pX3/WTPTRmomOBa2P9AcBBBBAAIEgCDADHYRRpA+BENCHCNcocS7TTPTBkUjkjmg0WhiI\njtEJBBBAAAEEAiZAAh2wAaU7/hbQrPMb+jDhePVinJLo3+iRvxL5e0hpPQIIIIBAAAVIoAM4\nqHTJ3wJKol/RXQonaSa6UjdcudbfvaH1CCCAAAIIBE+ABDp4Y0qPAiCguxO+oCT6aHXl1JaW\nlh8HoEt0AQEEEEAAgcAIkEAHZijpSNAEtCZ6iWahqxX/pST6nKD1j/4ggAACCCDgVwHWV/p1\n5Gh3aATa2tqO1WXubleHT6uoqGgITcfpKAIIIIAAAh4VYAbaowNDsxBwBMrLy+/SLPTp+rpe\nM9HTne08IoAAAggggEB+BEig8+POWRFIS0BJtF2R4wIl0rfrg4WT0zqYnRFAAAEEEEDAVQGW\ncLjKSWUIZFdAyfNlOoMl0hOVVC/N7tmoHQEEEEAAAQT6EiCB7kuFbQh4WEBJ9Bwl0LN0lY7D\n9UHDZR5uKk1DAAEEEEAgkAIk0IEcVjoVcIFBSqIblURP7enpGVtZWflqwPtL9xBAAAEEEPCU\nAGugPTUcNAaBlAS26JbftdpzaUFBwSIl03undBQ7IYAAAggggIArAsxAu8JIJQjkXiAajRbr\ndt/368z7aCZ6jJZzrMl9KzgjAggggAAC4RNgBjp8Y06PAyKgW37HNmzYUKHurNVM9EIl1MMD\n0jW6gQACCCCAgKcFmIH29PDQOAS2L6AlHCXaa7HifS3tOFKJ9XvbP4o9EEAAAQQQQCBTAWag\nM5XjOAQ8IqC7E3boToUT1JyS4uLiexsbGwd7pGk0AwEEEEAAgUAKkEAHcljpVNgEdCWOdboq\nR5n6vW9JSUm0rq6uKGwG9BcBBBBAAIFcCZBA50qa8yCQZQHdWGWVPkw4Xqf56ujRo29VEs3/\n7yybUz0CCCCAQDgF+AUbznGn1wEV0Ez06/HlHFNKS0uvD2g36RYCCCCAAAJ5FSCBzis/J0fA\nfQEl0e1Koqeo5hP1AcP/dv8M1IgAAggggEC4BUigwz3+9D6gAkqin9Gtvsu1LvpsJdGXBLSb\ndAsBBBBAAIG8CHAZu7ywc1IEciOg5NmS6Lt1trO1RvrXuTkrZ0EAAQQQQCDYAiTQwR5feofA\nDi0tLd9UEj1XFN/SJe/mQYIAAggggAACAxNgCcfA/DgaAc8LaDlHkxr5PSXRjUqmp3m+wTQQ\nAQQQQAABjwuQQHt8gGgeAm4IaOb5V7rE3aW65fddSqKPcKNO6kAAAQQQQCCsAizhCOvI0+9Q\nCih5vkYz0afrA4Zl1dXVz4YSgU4jgAACCCAwQAES6AECcjgCfhNoa2u7SW2uVhymDxa+5Lf2\n014EEEAAAQTyLcASjnyPAOdHIMcCy5cvP12nfESxMBqN7pfj03M6BBBAAAEEfC/ADLTvh5AO\nIJC+QH19fWTkyJGtuuHKwVobfWhVVdXq9GvhCAQQQAABBMIpQAIdznGn1wjs0NjYOLikpORh\nrYneMxaLjampqXkLFgQQQAABBBDYvgAJ9PaN2AOBwAo0NDQM3X333R9XBwuVRB+uJPqdwHaW\njiGAAAIIIOCSAGugXYKkGgT8KFBbW7tBSzgmqe07FhcXP6ClHTv5sR+0GQEEEEAAgVwKMAOd\nS23OhYBHBebPn7/X4MGDl2o5x580E32MZqJjHm0qzUIAAQQQQCDvAsxA530IaAAC+ReYMWPG\nm52dnWVqySGRSOQOXZ2jMP+togUIIIAAAgh4U4AE2pvjQqsQyLmAZp3f0OzzeJ14nJZz3KxH\n/kKV81HghAgggAACfhAggfbDKNFGBHIkoCT6Fd2l0NZEV7e2tl6bo9NyGgQQQAABBHwlQALt\nq+GisQhkX0C3+H5BHyw8Wmc6VUn0Fdk/I2dAAAEEEEDAXwIk0P4aL1qLQE4EKisrn9QHCu12\n3xe0tLSck5OTchIEEEAAAQR8IsAaR58MFM1EIB8CbW1tx+puhbcrTlVSPTcfbeCcCCCAAAII\neE2AGWivjQjtQcBDAuXl5XcpeT5Ds9E3aSZ6uoeaRlMQQAABBBDImwAz0Hmj58QI+EdAM9Hn\nKZG+SnGMZqIf9k/LaSkCCCCAAALuC5BAu29KjQgEUkAfKKxTx87XbPREzUwvDWQn6RQCCCCA\nAAIpCJBAp4DELgggsFVASfQvlUB/U5e6O7yqqmoZLggggAACCIRRgAQ6jKNOnxHIXGCQlnPc\nosOndHV1jdEl717LvCqORAABBBBAwJ8CfIjQn+NGqxHIl8AW3a3wJJ18aVFR0aOakd47Xw3h\nvAgggAACCORLgAQ6X/KcFwGfCuhuhd1///vfZ+gDha+oC49Go9E9fdoVmo0AAggggEBGAizh\nyIiNgxBAoKmpaeehQ4cuksTQzs7Ow5RYr0cFAQQQQACBMAiQQIdhlOkjAlkS0BKOElW9WPG+\nkugjlUS/l6VTUS0CCCCAAAKeEWAJh2eGgoYg4D+BioqKDi3lmKCWlxQXF9/b2Ng42H+9oMUI\nIIAAAgikJ0ACnZ4XeyOAQC8B3VhlnWafx2vzviUlJdG6urqiXrvwJQIIIIAAAoESYAlHoIaT\nziCQPwHd6vsAXSPabrDyaHt7+4lKpHvy1xrOjAACCCCAQPYEmIHOni01IxAqAc1Evx5fzjGl\ntLT0+lB1ns4igAACCIRKgAQ6VMNNZxHIroCS6HYl0VN0lhM1I/2T7J6N2hFAAAEEEMiPAAl0\nftw5KwKBFVAS/UxPT0+FlnOcoyT6B4HtKB1DAAEEEAitAGugQzv0dByB7Ao0NzdXFBYWRjUj\nfZau1nFDds9G7QgggAACCOROgAQ6d9acCYHQCWgG+puaiZ6rJHqWZqZvDx0AHUYAAQQQCKQA\nSzgCOax0CgFvCChpblJLzikoKLhFM9LHeKNVtAIBBBBAAIGBCTADPTA/jkYAgRQEdMfCizQT\nfZnWRk9RUv14CoewCwIIIIAAAp4VIIH27NDQMASCJaDlHNcoiT69u7u7rLq6+tlg9Y7eIIAA\nAgiESYAEOkyjTV8RyLNAW1vbTWpCteKw8vLyl/LcHE6PAAIIIIBARgKsgc6IjYMQQCATgeXL\nl5+uDxQu1LELo9HofpnUwTEIIIAAAgjkW4AZ6HyPAOdHIGQC9fX1kREjRrSp2wdpTfShVVVV\nq0NGQHcRQAABBHwuQALt8wGk+Qj4UUCzz0MikchDWhM9MhaLja2pqXnLj/2gzQgggAAC4RRg\nCUc4x51eI5BXASXMm9avX3+0GvFecXHxI0qod8trgzg5AggggAACaQiQQKeBxa4IIOCeQG1t\n7QYt4ZikGnfUbPT9Wtqxk3u1UxMCCCCAAALZE2AJR/ZsqRkBBFIQmD9//l5Dhgx5Sru+ruUc\nx2h2OpbCYeyCAAIIIIBA3gRIoPNGz4kRQMAR0F0K9yksLFyqr59WEn2ckuhu5zUeEUAAAQQQ\n8JoASzi8NiK0B4EQCuhKHH/t6uqaoEvcHa410TeLgDf3Ifw+oMsIIICAXwRIoP0yUrQTgYAL\n6O6EL+suhbYmulq3/v55wLtL9xBAAAEEfCxAAu3jwaPpCARNQEn0C/pg4dF2y28l0ZcHrX/0\nBwEEEEAgGAIk0MEYR3qBQGAEKisrn9RMtN3u+0Il0d8LTMfoCAIIIIBAYARYZxiYoaQjCARL\noKWl5TjNRM/TuuhTlVTPDVbv6A0CCCCAgJ8FSKD9PHq0HYGAC2gG+lR18dda1nGcPmi4IODd\npXsIIIAAAj4RIIH2yUDRTATCKtDW1naeZqF/rJimmeiHw+pAvxFAAAEEvCNAAu2dsaAlCCCQ\nRMA+UKjlHN/XTPREJdF20xUKAggggAACeRMggc4bPSdGAIF0BJRE/1L7n6gk+ggt51iWzrHs\niwACCCCAgJsCJNBualIXAghkU2CQlnPcoqUck3WVjrG65N1r2TwZdSOAAAIIIJBMgMvYJZNh\nOwIIeE1gi27zfZIa9Vvd9nuRZqT39loDaQ8CCCCAQDgESKDDMc70EoFACNTU1HSvWrXKLm/3\nmmJRNBrdMxAdoxMIIIAAAr4SYAmHr4aLxiKAgAk0NTXtPHTo0EV6uktnZ+c4JdbrkUEAAQQQ\nQCBXAiTQuZLmPAgg4KqAlnCUqMLFmonerKUdZUqi33P1BFSGAAIIIIBAEgGWcCSBYTMCCHhb\noKKiomPTpk0T9aHC4ZFI5J7GxsbB3m4xrUMAAQQQCIoACXRQRpJ+IBBCgeOPP36tlnCUqev7\nDxs27K66urqiEDLQZQQQQACBHAuwhCPH4JwOAQTcF2hpaTlASzmW2gcLly9f/k0l0j3un4Ua\nEUAAAQQQ2CrADDTfCQgg4HsB3Z3wdS3lmKCYOnr06F/5vkN0AAEEEEDA0wIk0J4eHhqHAAKp\nCiiJbtcM9FTFN3XDlatTPY79EEAAAQQQSFeABDpdMfZHAAHPCpSXlz+tW31XaCb6XF2l4yLP\nNpSGIYAAAgj4WoA10L4ePhqPAAJ9CTQ3N1foboVRJdJn6WodN/S1D9sQQAABBBDIVIAEOlM5\njkMAAU8L6IOFs7Sco0FJ9Cwt77jd042lcQgggAACvhJgCYevhovGIoBAqgJKmm/VvucUFBTc\nohnpY1I9jv0QQAABBBDYngAz0NsT4nUEEPC1gGaif6Ak+lKtjZ6ipPpxX3eGxiOAAAIIeEKA\nBNoTw0AjEEAgmwL6QOH/qP7Turu7y6qrq5/N5rmoGwEEEEAg+AIk0MEfY3qIAAIS0Ez0zVoT\nXakYp6t1vAQKAggggAACmQqwBjpTOY5DAAFfCaxYseI0NXiRYmE0Gt3PV42nsQgggAACnhJg\nBtpTw0FjEEAgmwL19fWRESNGtOkcB2pN9JiqqqrV2TwfdSOAAAIIBFOABDqY40qvEEAgiYBm\nn4cUFxc/rJdHxGKxsTU1NW8l2ZXNCCCAAAII9ClAAt0nCxsRQCDIAvPmzdt1l112eUzXiC7o\n7Ow8Qkn0O0HuL31DAAEEEHBXgDXQ7npSGwII+EDghBNOeFdLOCbpA4WDI5HI/VrasZMPmk0T\nEUAAAQQ8IsAMtEcGgmYggEDuBebPn7/XkCFDntKZ/6jlHNM0Ex3LfSs4IwIIIICA3wRIoP02\nYrQXAQRcFdBdCvfRjVae0mz0b5VEH6ckutvVE1AZAggggEDgBFjCEbghpUMIIJCOgK7E8Vfd\nYGW81kMfruUcN+lYJhbSAWRfBBBAIIQCJNAhHHS6jAACHxXQ3Qlf1proyZqFnq67Fv78o6/y\nFQIIIIAAAh8VIIH+qAdfIYBASAU0E/28ZqGPURJ9upLoupAy0G0EEEAAgRQESKBTQGIXBBAI\nh0BFRcViLeeoVm8vVhL9vXD0ml4igAACCKQrwFq/dMXYHwEEAi/Q0tJynGai52lG+pTKysrG\nwHeYDiKAAAIIpCXADHRaXOyMAAJhEFDSfKf6+W0l0TfrKh02I01BAAEEEEBgmwAJ9DYKniCA\nAAIfCmg5x02agb5Il7i7va2tbeKHr/AMAQQQQCDsAizhCPt3AP1HAIF+BZQ8X6kdztFVOiZq\nZtpuukJBAAEEEAi5AAl0yL8B6D4CCGxfQEn0rzQbfYI+YHi4Lnn34vaPYA8EEEAAgSALkEAH\neXTpGwIIuCUwSFfluFWVTVISPVZJ9GtuVUw9CCCAAAL+E2ANtP/GjBYjgEDuBbZ0dnbO1ml/\nW1hYuEgfLPx07pvAGRFAAAEEvCJAAu2VkaAdCCDgaYGampruVatW2eXtXlMS/Wg0Gt3T0w2m\ncQgggAACWRNgCUfWaKkYAQSCKNDU1LTz0KFDF6lvu2zcuPGwmTNn/iuI/aRPCCCAAALJBUig\nk9vwCgIIINCngNZDl2gm+km9uCkWi5Vpdvq9PndkIwIIIIBAIAVYwhHIYaVTCCCQTQFdI7pD\ns88TdGWO4ZFI5J45c+bsmM3zUTcCCCCAgLcESKC9NR60BgEEfCJw/PHHr9UHC8vU3P0/9alP\nRevq6op80nSaiQACCCAwQAES6AECcjgCCIRXQEs3/q5Z6DLFf5aWlt4iCZbFhffbgZ4jgECI\nBEigQzTYdBUBBNwX0N0JX1etE5VET9Xa6OvdPwM1IoAAAgh4TYAE2msjQnsQQMB3AloTvVwf\nKpyqmKW7Fl7tuw7QYAQQQACBtARIoNPiYmcEEECgb4Hy8vKnNQtdoTi3paXlwr73YisCCCCA\nQBAESKCDMIr0AQEEPCGgmeiFSqBnFBQUXKEk+vT+GqUbsezW3+u8hgACCCDgXQESaO+ODS1D\nAAEfCmhNdEtPT8/JWs7xKy3nOD5ZF3T5u+e0Zroq2etsRwABBBDwrgAJtHfHhpYhgIBPBZRE\n32pLOdT8W5VEH52kG3/U9iOTvMZmBBBAAAEPC5BAe3hwaBoCCPhXQEn0HCXRl6sH0ebm5sP7\n6MlT2nZoH9vZhAACCCDgcQESaI8PEM1DAAH/CmhN9BVKoq/Xmuh7tVzjK4k90RIPS6APstuC\nJ27nOQIIIICA9wVIoL0/RrQQAQR8LKAk+jwl0XeqCw/pg4UHO12JxWIvKImOKb7ubOMRAQQQ\nQMAfAiTQ/hgnWokAAj4WWLFixWlq/qOaiV6kGed9rSu6i2FMD88puWYZh4FQEEAAAR8JkED7\naLBoKgII+FOgrq6uZ926dScoWV6mHjyqS9h9wnqiq3WwDtqfQ0qrEUAg5AKDQt5/uo8AAgjk\nTECJ85Di4uKHdcIRGzduHDNkyJAvawlHi5Zz7Bafkc5ZWzgRAggggEDmAiTQmdtxJAIIINCn\ngJZp1OmFyYr7NOt8n67I0e7sOG/evF133nnnx/X1oM2bN5cPHjx4pZLoMXYnQ2cfHhFAAAEE\nvC1Q5O3m0ToEEEDAlwK3KHGOKDGusbsS6lrQf1cv7rPQbPMTmzZtmqTZ5yVKnu/QPi9r+xgF\nCbQQKAgggIAfBJiB9sMo0UYEEPCtgK4B/Wkl0XYzFYtxCvvw4COKpYpzlEDbz+GXNAN9lB4p\nCCCAAAI+ECCB9sEg0UQEEAiGQENDw9CSkpKJhYWFlkxP0Sz1cOXPW/S8Swn0ED3acwoCCCCA\ngMcFSKA9PkA0DwEEgimgK3MUHHLIIV/T7PRsJdFT9OHCz0yZMuX9YPaWXiGAAAIIIIAAAggg\nkF+BoTp9hWJ0fpvB2RFAAAEEEEAAAQQQ8IfAQWqmLfe43h/NpZUIIIBAsAS4kUqwxpPeIIAA\nAggggAACCGRZgAQ6y8BUjwACCCCAAAIIIBAsAa4DHazxpDcIIJBdgXGq/mOKBYovK45U2M/R\nJxS/VVj5rGKS4pOKFxR3KXpfXcPqsGNt3xLFnxV2W+8VCqfsrid2aTurdxfFdMWLiocUycr/\n0wtfUfxLcW/CTtbGqYpSxY6K5Qq7LvUmhVP6O9//OTvxiAACCCCAAAIIIIBAOgIt2nmV4lKF\nJcV2TWd7tDhDYR/ssytpJG6fr68TyzR98ZbCjnlHsTn+vFuP5yuc8kU9sX1+rOiIP7evv6Ho\naw20faDwbcU/FV9QOGUfPXlW4ZzPXrfnryhGKZzS3/mcfXhEAAEEEEAAAQQQQCAtAUugexQb\nFBMVEcUEhSXCljivV5ypsFnlvRWvKyxZtZlhK7sq3lVYovslRaFiZ0W5wo7fqNhNYcVJaDv1\nfIFiiuL7Ciu9E+hDtM2S8rWKxKTYLlX6vMKS8xMUzqVLx+u5teGPimKFlf7Ot3UP/kUAAQQQ\nQAABBBBAIE0BS6AtIf5Or+Puj2+/vNf2S+LbbWbayn8qHlbU2he9yn362uo+OL7dSWhX62tb\ndpFYEhNoe75O8abCSdSdfY/TE6vT6u5drK322mnxF/o7X+9j+RoBBBAItYCti6MggAACCKQn\n8Pteu7+kr6cqnuu1fU3866Hxx9/p0dZHO8VmsPdVlCpGxjfuFH90Htr1xGan+yqf1cbHFHso\nbFb5VUVisYTdyuOKxJlp22ZLOKzYTHj9B8+2/tPf+RJ24ykCCCAQXgES6PCOPT1HAIHMBf7W\n61BbImHF1ionFmd74rb99MX3FeMU9tx+DjvLQvR02zILe27lja0Pff57pLbaUgwrFyosmbZZ\nZafsH3/yc2dDH4/WhsTS3/kS9+M5AgggEFoB+8FNQQABBBBIT8A+JJhJ+ZwOelphM9KPKG5T\nLFc8r6hTfFvRu/R3rpXa+XDF1QpbrnG64gaFUzbHn8zUo62P7qvYmuzE0t/5EvfjOQIIIBBa\nARLo0A49HUcAgTwInKVzDlN8S3GrIrEcEP+iMHHjdp4/qNdXKqxeW8LxU8VDipUKK/YhRiuW\nJNvsdO3AXcIAAAG6SURBVGIp0Re2fOMfiRt5jgACCCCwfYGC7e/CHggggAACLgl8Jl5P72US\nn9f2r8Vfs3XR6Za3dMD3FLso5ioGKazcq7AlHRcreifmv9K2RQrnvHpKQQABBBBIRYAEOhUl\n9kEAAQTcEbAP81m5VjFD8XXFBYqFivcVVoZvfUj733k64mGFLek4I370M3q8RWFJ8pOKYxUV\nilsVtqzDEuyogoIAAgggkIYASzjSwGJXBBBAYIAC9mG+fRSnKO6I12Vrk22G+EWFrYWeqGhV\nZFJO00EvK5ylHDbTfbLiVcUPFHcqrNisdLPiu/YFBQEEEEAAAQQQQAABrwvsqgaWKvbKcUM/\npfONVtj5KQgggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggg\ngAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAII\nIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAAC\nCCCAAAIIIIAAAggggAACCCCQocD/B0wI3zVeOocBAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 180,
       "width": 360
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "library(dagitty)\n",
    "options(repr.plot.width=6, repr.plot.height=3)\n",
    "grQtlMarker <- dagitty('dag{\n",
    "QTL [pos=\"1,0\"]\n",
    "pheno [pos=\"2,0\"]\n",
    "marker [pos=\"1,1\"]\n",
    "meiosis [pos=\"0,0\"]\n",
    "QTL -> pheno\n",
    "meiosis -> QTL\n",
    "meiosis -> marker\n",
    "}')\n",
    "plot(grQtlMarker)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Meiosis randomizes the (unobserved) QTL and (observed) marker.  \n",
    "- The QTL _causes_ the phenotype.\n",
    "- This leads us to observe an _apparent_ association between marker and phenotype.\n",
    "\n",
    "Since the QTL (and meiosis) is not directly observable, we test for association between genetic markers and phenotype (trait).  The markers associated with the trait are likely to be physically close to the QTL (idea of genome scan).\n",
    "\n",
    "See Greenland, Pearl, and Robins (1999) for more on causal diagrams."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Sex as a biological covariate\n",
    "\n",
    "- Is it a covariate (independent cause)\n",
    "- Is it a phenotype (outcome)?\n",
    "- Is it a mediator?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Causal diagram: sex as covariate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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+hGKQfqcnXfZKgq7DZJAoyBThIkm0EAAQQQQAABBKIFKioqlDvn1mj+5itXrhxC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\nAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 180,
       "width": 360
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "options(repr.plot.width=6, repr.plot.height=3)\n",
    "gr2 <- dagitty('dag{\n",
    "QTL [pos=\"1,0\"]\n",
    "pheno [pos=\"2,0\"]\n",
    "sex [pos=\"1,1\"]\n",
    "meiosisA [pos=\"0,0\"]\n",
    "meiosisX [pos=\"0,1\"]\n",
    "QTL -> pheno\n",
    "meiosisA -> QTL\n",
    "meiosisX -> sex\n",
    "sex -> pheno\n",
    "}')\n",
    "plot(gr2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Meiosis randomizes the (unobserved) QTL and (observed) marker.  \n",
    "- The QTL _contributes_ to the phenotype.\n",
    "- This leads us to observe an _apparent_ association between marker and phenotype.\n",
    "- Sex _contributes_ to the phenotype.\n",
    "- Sex is _causally unconnected_ to the QTL.\n",
    "- Not adjusting for sex will not lead to bias, but may be less powerful."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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RpbKwI6WLUim7N8mfC+CRPfb8eshYxk7YeT9Y+cmag5EigsAZysvXCybgbA3fPm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\nCUhAAhKQgAQkIAEJZJHA/wO6sg1DeG6iFwAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 240,
       "width": 300
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "options(repr.plot.width=5, repr.plot.height=4)\n",
    "grQtlMarkerSex <- dagitty('dag{\n",
    "QTL [pos=\"1,0\"]\n",
    "sex [pos=\"1,2\"]\n",
    "pheno [pos=\"2,1\"]\n",
    "marker [pos=\"1,1\"]\n",
    "meiosisA [pos=\"0,0\"]\n",
    "meiosisX [pos=\"0,2\"]\n",
    "QTL -> pheno\n",
    "sex -> pheno\n",
    "meiosisA -> QTL\n",
    "meiosisA -> marker\n",
    "meiosisX -> sex\n",
    "}')\n",
    "plot(grQtlMarkerSex)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# X chromsome QTL"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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C3F5uFhTOk4PDxdu3ZtRIpiK9b8wX/n\n5r8SkEA1Ezi6kMoTaf5gbW3tUbk+am+u+Qd91D3sL+XYeez/zveZheRV6WkU0JXewtZPAhIo\nJYEuRJqPZuAZhg1l4OnO/hH2X+eNf/N4acmfWVH/Vb5HFPo69iN5lmssMHSTgAQkkAoB5lfv\nyQ/7eDpH/Lh/H/3Q0+zvoo/63BNPPPGz/v3778W5h7BvYZ/j+I/YV/2mgK76PwEBSEACSRFo\naGjYiYHoavJ/GDuJ6PIDCORX8+Uhrs9hsDqXNLEwcAzmwJSH414CEkiFQE1NzTX0Q7FdRx81\njz4qHhX3r40+LF6Icj/nbsMeoa865aWXXno8d7qqdy4irOrmt/ISkECpCPA81+Mo+/sMSmNH\njBhxG5HoZ/h85fDhw68vlU+WKwEJSCBPgOkc762rq/sRovmxJUuWHDNgwIBL6KM+Rh81OJ+m\nmvfxSCU3CUhAAhJIkQC3TON5rCGeTw3xfOutt76T7+/lzWJGoFNsB4uSgARaJxCPzUM8L0Q8\nP8GrwsdOnjx5Pf3VPph9VA6ZArr1vx2PSkACEkiEAJHnA5lvGLdDz0M8fycK2WyzzWJgepVH\n2D2ZSKFmKgEJSKBAAjNnztyKPmo+yf/Gi1tGMKWjkWh0N8T0RziugM5xVEAX+AdlMglIQAKd\nJcB8wr0ZhOJNg1cgni/P58exfbCfRpQnf8y9BCQggbQJTJ8+vSfb/fRH0Rcdnn/rIU/m+DDf\nN1u1atVP0vYpq+UpoLPaMvolAQlUFAEWDH6IxTr3UalZzCE8v3nlQkB7a7Q5ET9LQAJpE4go\nc69eveZS7ttWr159MP3UirwPRJ734fNTxx57bLym2w0CCmj/DCQgAQkkTID5hDsikuOW6EIW\n45zcvLiI+PB9AI+Geqz5cT9LQAISSIsA4rmGNw3eRnkfYC3GQWPGjFnWvGx+4PsjvzkQPiug\nWwDxqwQkIIFiEojFOESeYzHO0uXLl/9rMU7z/Lld+tH4zq3Rnzc/7mcJSEACKRHowoLB71PW\nIH7ID4nn07dS7se9S7YhFZ8DvSEPv0lAAhIoGgGiOlsjnheQ4V9ZjDOS+YTxOt0NNm6Nvp8D\nPxs3btyqDU74RQISkEAKBFjYfDU/8EcikPdnbcbTLYvkld7bcGwrzj/S8lw1fzcCXc2tb90l\nIIHECCCetyCqEy8gWMdjoP6zGKdlgUuXLp36+uuvH9byuN8lIAEJJE2AtRmXIJ5PJvJ8JHOe\nf9laeUzn+AdzovtuJDLd2iVVccwXqVRFM1tJCUggTQJTpkzZbLvttruXMt+DgB5IVGd5muVb\nlgQkIIG2CBB5PhXxfA3pRgwbNuzuttJ7fkMCTuHYkIffJCABCXSKQCzGIfIci3F2JaozkKiN\n4rlTRL1YAhIoNgHE86fI8xv0UeP5ga947gBgp3B0AJqXSEACEtgIgViMM42ozkBWsm9sMc5G\nLvWwBCQggeQJsLD5KPqoG7g7dgbieWbyJVZmCUagK7NdrZUEJFACAkR1rmFgGs7AdMCoUaN+\nWwIXLFICEpDARgkgnvdnYfNs+qivIp6/vdGEnmiTgAK6TUQmkIAEJNA2AcTzpYjnSdwSPZSB\nqdXFOG3nYgoJSEACyRBAPH8E8XwX4vlqFgxenEwp1ZOriwirp62tqQQkkBABVrKfzuPorkI8\nD0c835NQMWYrAQlIoEMEWJvxQaaXPcrFdyGeJ3YoEy/agIAR6A1w+EUCEpBA+wggnscReb6a\nq8YpntvHztQSkEDyBLg7tgN91Hwiz4vWrl17UvIlVkcJRqCro52tpQQkkAABxPMniDw3kPUZ\nPAbqugSKMEsJSEACHSZA5PntRJ4fI4NnEM9H1NfXN3Y4My/cgIACegMcfpGABCRQGAHE8wGI\n5/uYtnERkedLCrvKVBKQgATSIUDkuTclPUr0edVrr712kG87LS53H2NXXJ7mJgEJVAGBWIzD\noHQX4vkqxXMVNLhVlECZEZg+fXpPXL4v3F61atVhiufiN6AR6OIzNUcJSKCCCeQW4yyminey\nGOeECq6qVZOABMqQAH1UN6ZtxGLmHZm2MZBpG38rw2pk3mUXEWa+iXRQAhLICgEGpvd269Zt\nAf78cMmSJS7GyUrD6IcEJPAvAvRR8SbUWdwh241Fg/sonpP7w3AKR3JszVkCEqggAgxMsRhn\nAYPSk42NjcdOnjx5fQVVz6pIQAIVQIA+6rtUYzB91BDukD1bAVXKbBUU0JltGh2TgASyQmDm\nzJlbMTDNx5/lbMNdyZ6VltEPCUggT4BFg1/ncz1rM4bSRz2VP+4+GQLOgU6Gq7lKQAIVQiAW\n4/Tq1Wsh1elB9Hk/ojorKqRqVkMCEqgQAojnC5m28YWmpqahI0eOfLhCqpXpajgHOtPNo3MS\nkEApCcRiHLa5+LDN6tWrB44ZM0bxXMoGsWwJSOC/CMydO/czHDyXyPMoxfN/4UnsgBHoxNCa\nsQQkUM4EcotxZhPV2ZvI80DnE5Zza+q7BCqTAOJ5DP3TdGo3gT7qlsqsZTZrZQQ6m+2iVxKQ\nQIkJEHn+XkzZIKoziGc9P1tidyxeAhKQwAYEeJnTERy4GTtL8bwBmlS+uIgwFcwWIgEJlBMB\nojpX4+8o5hMeinh+upx811cJSKDyCSCe9+NNqLdT0/MQz9+q/Bpnr4ZO4chem+iRBCRQQgIs\nxrmIaRufJ/o8lIFpUQldsWgJSEAC/0WAPurD9FEP00fdQB915n8l8EAqBBTQqWC2EAlIoBwI\nENU5hajON4g8sxZn5Lxy8FkfJSCB6iHQ0NDw/tra2sWI53sRzxOo+ZvVU/ts1dQ50NlqD72R\ngARKRICozliK/iYD03GK5xI1gsVKQAIbJTBnzpzt+YEfb0JdzCu6J7JXPG+UVvInnAOdPGNL\nkIAEMk6AOc9Hckv0Rtw8k6jOjIy7q3sSkECVEZg1a1bfnHj+3XPPPTeaF6U0VRmCzFXXKRyZ\naxIdkoAE0iRA5Hkw4vl+Is+XIp4vSrNsy5KABCTQFgH6qN6kWUQ/9Qav6D4I8fx6W9d4PnkC\nRqCTZ2wJEpBARgkwn3AvBqV5PKrum4rnjDaSbkmgiglMnTq1B9W/F6tBPB+meM7OH4MR6Oy0\nhZ5IQAIpEmDB4AcQz4sp8m7E8/HsnU+YIn+LkoAENk0A8VzXt2/fu7k7tjM/8geyNuPFTV/h\n2TQJuIgwTdqWJQEJZIJAfjEOA9MjLMY5AacUz5loGZ2QgASCwOTJk7sinmfSR/VTPGfzb0IB\nnc120SsJSCAhArEYp6amZiHZP414djFOQpzNVgIS6DiBfv36TUU8H4jtR+T5mY7n5JVJEVBA\nJ0XWfCUggcwRiMU4TNuYj2Mvvfbaa8PGjRvXmDkndUgCEqhqAjwV6GsI52N4Hv1Bo0aNerKq\nYWS48groDDeOrklAAsUjkF+Mw8DUdfXq1UMRz6uKl7s5SUACEug8AX7kX0Aup2OHI55/1vkc\nzSEpAi4iTIqs+UpAApkhMHv27G51dXV349BOzifMTLPoiAQk0IwAC5tP5g7ZtfRRn2Taxp3N\nTvkxgwR8jF0GG0WXJCCB4hGIxTjdunWbycD0IeY8H+RK9uKxNScJSKA4BBDPx4R45g7ZRMVz\ncZgmnYtTOJImbP4SkEBJCfTv3/+7DEoHMJ9wX56h+n8ldcbCJSABCbQgwJznw+ijpnP4cyNG\njLi5xWm/ZpSAAjqjDaNbEpBA5wkQ1bmSXI7GDmQ+4W86n6M5SEACEigeAcTzIMRzA9HnycOG\nDftm8XI2p6QJKKCTJmz+EpBASQgwMH2Vgk9jPuFhRHV+XhInLFQCEpDARgjwJtQ9OHUP9n3E\n86UbSebhjBJwEWFGG0a3JCCBjhNgJfuniehMIbLzSd4yOLfjOXmlBCQggeITYGHzrixsjjeh\nPkAfNZ69L3MqPuZEc3QRYaJ4zVwCEkibAOJ5NGV+i8jzRMVz2vQtTwISaIsA4vk9iOcFpPvx\n0qVLj2eveG4LWgbPG4HOYKPokgQk0DECvKL7cN4yOBfxHItxpnQsF6+SgAQkkAwB1mX04e7Y\nYuwvzz333NDTTz/9n8mUZK5JE1BAJ03Y/CUggVQIIJ73RTw/yLSNC4k8X5ZKoRYiAQlIoEAC\nRJ7fyiM1H6aPWscjNQ/gqUCvF3ipyTJIQAGdwUbRJQlIoH0EEM97Ip4f5qqbWIxzRvuuNrUE\nJCCBZAkgnrszbWM+keetuUO2L3fIXkq2RHNPmoBzoJMmbP4SkECiBFjJ/v6IPFPIXMTzmYkW\nZuYSkIAE2klg6tSpaOe6OVz27jVr1gxRPLcTYEaT+xi7jDaMbklAAm0TiMU4iOcF3BJ9jFui\nLsZpG5kpJCCBFAnEm1D79OlzC5HnPeinBo4ePfqvKRZvUQkSMAKdIFyzloAEkiMQi3GI6iyk\nhN8///zzxzCfsCm50sxZAhKQQPsJ9OvX7zrE88FceTBrM/7U/hy8IqsEnAOd1ZbRLwlIYKME\nYjEO4nkRCRqJPB/oYpyNovKEBCRQIgL8yL+8a9eupzY1NR00cuTIn5bIDYtNiIBTOBICa7YS\nkEAyBJhP2IOV7PeSe11jY6PiORnM5ioBCXSCAM+j/wqXn8WCwSMUz50AmeFLFdAZbhxdk4AE\nNiQQi3H69u0bi3HeyWKcmE/48oYp/CYBCUigtAQQzyfhwQXY0SwYjBemuFUgAQV0BTaqVZJA\nJRLILcaZwUKc/kR1XIxTiY1snSRQ5gQQz/VU4Tr6qZMQz/Fj361CCSigK7RhrZYEKo1A//79\nr2cxzpB4hiq3RJ+ptPpZHwlIoLwJMOf5UGoQP/K/gHi+obxro/dtEfApHG0R8rwEJFByAkR1\nrkA8H7tu3bqhDExPltwhHZCABCTQjADieSB91B0cuog+6upmp/xYoQR8CkeFNqzVkkClEGBg\nOp+B6ctEng8n8hyPrXOTgAQkkBkC/MAfgDOL6Kdm8DKnUzPjmI4kSkABnSheM5eABDpDYO7c\nuZO4HfptrJ6oTkR33CQgAQlkhgA/8HdBOC/GFiCeP4Vjb2bGOR1JlIBTOBLFa+YSkEBHCSCe\njw7xzPUnKJ47StHrJCCBpAjMmTPn3TznOZ6y8bMlS5Ycx17xnBTsDOZrBDqDjaJLEqh2AtwS\nHQqDuxDQX0Q8X1PtPKy/BCSQLQK8zGlbnke/mD7qxRUrVgydMGHCG9nyUG+SJqCATpqw+UtA\nAu0ikFuMM5+LLuXVtxe362ITS0ACEkiYwIwZM3r17NnzYaZtrH/ppZcOmDhx4sqEizT7DBJQ\nQGewUXRJAtVKoKGhYY+ampqHqf8tiOfTqpWD9ZaABLJJgMhzdyLPDxB53paXOe07ZsyYf2TT\nU71KmoDPgU6asPlLQAIFEcgtxnmQxHcjnk8v6CITSUACEkiJAC9zqkU834543n7t2rX7KJ5T\nAp/RYhTQGW0Y3ZJANRFgweB2DEoLuSX6ExbjTKDuLsappj8A6yqBjBOIN6HyMqfpuLkX4nlg\nfX39XzLusu4lTEABnTBgs5eABDZNIBbjkCJWsv/plVdeOZqBat2mr/CsBCQggXQJIJ6vpcSh\nPI9+MOL5j+mWbmlZJKCAzmKr6JMEqoRALMbhlmhM21j58ssvH8ViHFeyV0nbW00JlAsBppdd\nwt2x8fg7hOllS8vFb/1MloCLCJPla+4SkMBGCMRinLq6uhDP2zB9YxCPq3tpI0k9LAEJSKAk\nBJhe9iX6pwsQ0EfxopTor9wk8C8CvkjFPwQJSCB1AlOnTkU71zVQ8HbMJxyieE69CSxQAhJo\ngwDi+QTE84XYWMVzG7Cq8LRTOKqw0a2yBEpJIBbj9O3bNxbj7NnY2DjIxTilbA3LloAEWiPA\nWwZHIZy/Q+T5ZKZt3N5aGo9VNwEFdHW3v7WXQOoEBgwY8G0GpkObmpr2czFO6vgtUAISaIMA\nkedD6KNmIp7PIfL8/TaSe7pKCSigq7ThrbYESkGAgekyyv0Ug9OQUaNGPVEKHyxTAhKQwMYI\n0Ed9nHN3YJchnr++sXQel4CLCP0bkIAEUiHASvYvE9E5n8KO5JZovKrbTQISkEBmCPAm1H68\nCfURHLqVPuozmXFMRzJJwEWEmWwWnZJAZRFAPJ+IeP4qz1A9VvFcWW1rbSRQCQR4KtBOtbW1\n8cP+/qVLl55aCXWyDskSMAKdLF9zl0DVE0A8fxLxfCsgJiGep1U9EAFIQAKZIoB4fhdPBfoR\n/dSTvAl1mC9zylTzZNYZBXRmm0bHJFD+BHKLce6mJucinq8q/xpZAwlIoJIIzJo1a5vu3bs/\ninj+O08FOpSFzWsqqX7WJTkCTuFIjq05S6CqCfAYqH0AEItxLlE8V/WfgpWXQCYJTJs2bcse\nPXrcj3NrXn/99SMVz5lspsw6ZQQ6s02jYxIoXwJM2+hPRGcRNZiFeD6lfGui5xKQQCUSuPHG\nGzfv3bv3/fRT78g9j/7vlVhP65QcAR9jlxxbc5ZAVRJgJfvOXbt2fZBH1d2HeHYxTlX+FVhp\nCWSXAHOcaxHPsxHPO+LlQCLPiufsNldmPVNAZ7ZpdEwC5UeAaRvvRjwvQDz/gpXs46nBm+VX\nCz2WgAQqmEAXXuZ0E33U3jwVaNCIESOer+C6WrUECTiFI0G4Zi2BaiIQi3GYT7iYgWnZihUr\nDp0wYcIb1VR/6yoBCWSfAAubr6WPGoung7lDtiT7HuthVgkooLPaMvolgTIiMGPGjF49e/b8\nYbi8atWqA8aOHftaGbmvqxKQQBUQuPPOOy+imp9DQB9M5PmxKqiyVUyQgFM4EoRr1hKoBgKx\nGAfxPI/5hD1Xr149SPFcDa1uHSVQXgSIPH8R4Rx2lOK5vNouq94qoLPaMvolgTIgkFuMczuu\n7tDU1DRwzJgx/ygDt3VRAhKoIgI8FWgCwvkSfuTHm1AfqKKqW9UECSigE4Rr1hKocAJd+vfv\nfzN1/GiI51GjRr1Q4fW1ehKQQJkRQDyPQDh/D7c/M2zYsB+Umfu6m2ECCugMN46uSSDLBJhP\neC3+HUZkZzDi+Q9Z9lXfJCCB6iOAeB6CeL6Vmn+JyPN3q4+ANU6SgG8iTJKueUugQgkwn/Bi\nBqbjeAzUEcwnXFqh1bRaEpBAmRLgkZr/wyM178T9KxDPXyvTauh2hgn4FI4MN46uSSCLBIjq\nnIN4vjC3GMf5hFlsJH2SQBUT4Af+7lT/EX7gz+YH/slVjMKqJ0jAKRwJwjVrCVQaAaZtTKRO\nF2NjGJgUz5XWwNZHAmVOgD7qfVRhPj/w5z/xxBOfKfPq6H6GCRiBznDj6JoEskSAgWkk/vyA\ngenTiOdYlOMmAQlIIDMEbr311nd27979Mfqo3y5fvvwTkyZNWpsZ53Sk4ggooCuuSa2QBIpP\nAPF8MLnezcB0HuL5yuKXYI4SkIAEOk6AqWVvY87zo/RRL69du/bg+vr6NR3PzSsl0DYBBXTb\njEwhgaomwMD0MQamBUC4isdAXVDVMKy8BCSQOQKzZ8/eoq6uLt6EWod4Hox4fjVzTupQxRFw\nDnTFNakVkkDxCDQ0NPRjweB95HiL4rl4XM1JAhIoDoEpU6Zs1q1bt3lEnt+KDVI8F4erubRN\nwMfYtc3IFBKoSgJEdXaqra19EAH9wJIlS06pSghWWgISyCyBeBPqdtttF+sydiLyPITpZcsz\n66yOVRwBI9AV16RWSAKdJ4B4fhe3RBcwMD3OYpxxDFTrO5+rOUhAAhIoGoF4E+oN5PZxxHNE\nnp8rWs5mJIECCDgHugBIJpFANRFothjnJQamQ1yMU02tb10lUB4EWNg8hbtj45uamvYfOXLk\n4+XhtV5WEgGncFRSa1oXCXSSwLRp07ZkwWA83/mfq1atOkLx3EmgXi4BCRSdAOL5UjI9ATtC\n8Vx0vGZYIAGncBQIymQSqHQCN9544+a9e/eeRz23bGxsHDR27NjXKr3O1k8CEigvAojnM/D4\n80SfWdc8bHF5ea+3lURAAV1JrWldJNBBArEYZ6uttorFOPEWr32IPP+9g1l5mQQkIIFECDC9\nbDwZX4V9CvEcTwdyk0DJCDiFo2ToLVgCmSEQi3FuRDx/DDuIgen5zHimIxKQgAQgMGfOnOFM\nL/s+fdSpw4cPv1UoEig1ASPQpW4By5dAiQnEYhxcODIW44waNer3JXbH4iUgAQlsQIA+6kCm\nbNyKeD6fR9V9Z4OTfpFAiQgYgS4ReIuVQBYIzJ079zL8mMjAdATi+VdZ8EkfJCABCeQJ8DKn\nvfk8d/369VcReY7+yk0CmSDgY+wy0Qw6IYH0CTCf8CyiOldQ8icYmO5P3wNLlIAEJLBxAvRR\nH6KPeoQf+HcQeT5x4yk9I4H0CRiBTp+5JUqg5AS4JXocA9OVDEzjFM8lbw4dkIAEWhBgzvOO\n9FHzsYeeeOKJSS1O+1UCJSdgBLrkTaADEkiXQG4xzu0MTKewYHBquqVbmgQkIIFNE6CPegcL\nBh+jj/rDsmXLjpw0adLaTV/hWQmkT0ABnT5zS5RAyQgwMB3EwHQvkecLuCV6eckcsWAJSEAC\nrRCYPXv21nV1dY9w6rXly5cPQTyvbiWZhyRQcgIK6JI3gQ5IIB0CsRintrb2IUr7BpHn89Ip\n1VIkIAEJFEYA8bxFt27dFvIDf3OuGMz0shWFXWkqCaRPwDnQ6TO3RAmkTiAW4yCeY6HgLMVz\n6vgtUAISaIPAlClTNiPyPBfxvPWaNWsOUTy3AczTJSfgc6BL3gQ6IIFkCeQX4zAwLVi6dOnJ\nyZZm7hKQgATaR4DIcw2R53jO8648rm7gmDFjlrUvB1NLIH0CCuj0mVuiBFIjcOutt76zpqZm\nIQUuZTHOWF7ZvT61wi1IAhKQQNsEuhB5/j7JBvEyp0E8j/7PbV9iCgmUnoBzoEvfBnoggUQI\nxGIcojqPkvkKxPPBLsZJBLOZSkACnSDAIzWv4Wkb8TKn/Zm28ctOZOWlEkiVgAI6VdwWJoF0\nCMRiHKI6sWCw29q1awfX19e/mk7JliIBCUigMAKI54sQz59n2sahPBXokcKuMpUEskHAKRzZ\naAe9kEDRCOQW49xFhlsR1RmoeC4aWjOSgASKRADxfBri+RzE83DFc5Ggmk2qBBTQqeK2MAkk\nSyAW4xB5vo1SdiHyvA/ieXmyJZq7BCQggfYRQDx/iiuuQTyPRzzf076rTS2BbBBQQGejHfRC\nAsUgEItxphHVGbhu3bpBiOfnipGpeUhAAhIoFgEeqfkJ+qgbyO905jzPLFa+5iOBtAkooNMm\nbnkSSIjA3Llzv0HWw1nJvj8r2X+bUDFmKwEJSKBDBHik5v68CfUHRJ4nE3m+rkOZeJEEMkJA\nAZ2RhtANCXSGAOL5Yq4/CfF8yMiRIx/vTF5eKwEJSKDYBBDPH0E8z0M8fwPxfEmx8zc/CaRN\nwKdwpE3c8iRQZALcEj2dgekqxPMwxPO9Rc7e7CQgAQl0igBrMz7I9LJ4pOZdTNuY2KnMvFgC\nGSFgBDojDaEbEugIAcTzOOYTXs214xTPHSHoNRKQQJIEWDC4A33UAp4ItIiFzSclWZZ5SyBN\nAkag06RtWRIoIgEGpmEMTLczMMVinOuLmLVZSUACEug0ASLPbyfy/BgZPYN4PoKFzY2dztQM\nJJARAl0z4oduSEAC7SBA5PkAxHM8ru4CxXM7wJlUAhJIhcDMmTO3QjzPp7DlK1euHK54TgW7\nhaRIwAh0irAtSgLFIEDk+aPk8xAC+tphw4adW4w8zUMCEpBAsQhMnz69Z69evRZyd6zn6tWr\n9zv22GNfKVbe5iOBrBBQQGelJfRDAgUQaGho2K2mpiYW49xJ5PmEAi4xiQQkIIHUCDBtoxuR\n53g5yo5M24g3of4ttcItSAIpEnARYYqwLUoCnSHAwPTe2trauCX6wyVLlrgYpzMwvVYCEig6\nAfqoeBPqLO6OfZDos+K56ITNMEsEFNBZag19kcBGCPAM1XfwqLq4JfokUZ1jJ0+evH4jST0s\nAQlIoCQEEM/fpeDBjY2N+xJ5frYkTlioBFIi4CLClEBbjAQ6SiAW4yCeI/L8t+XLl7sYp6Mg\nvU4CEkiMAGszriLy/ElelDIU8fxUYgWZsQQyQsA50BlpCN2QQGsE8otxONeD6PN+zHte0Vo6\nj0lAAhIoFQHE82TE8xd5mdNhPI/+4VL5YbkSSJOAUzjSpG1ZEmgHgViMwzaXS7ZhJfvAMWPG\nKJ7bwc+kEpBA8gR4pOYpiOcvI57Rzorn5IlbQlYIGIHOSkvohwSaEcgtxpnNwLR3LMYh8vxs\ns9N+lIAEJFByAojnY+mjbsaRCfRRt5TcIR2QQIoEjECnCNuiJFAggS5Enr8XUzaYTzhoxIgR\nzxZ4nckkIAEJpEJg7ty5R1LQTfRTZymeU0FuIRkj4CLCjDWI7kiAgekqKIziluihiOenJSIB\nCUggSwSIPO+HP7MRz+cjnr+VJd/0RQJpEXAKR1qkLUcCBRBAPH+VZF9gYBrKwLSogEtMIgEJ\nSCA1AiwY/DDTNh6mj5pGH3VWagVbkAQyRkABnbEG0Z3qJcDAdCoD0zUQGMEruu+uXhLWXAIS\nyCIBIs8f4JGajyKe70E8H4+Pb2bRT32SQBoEnMKRBmXLkEAbBBDPY0nyDQamCYrnNmB5WgIS\nSJ0AL3PaHvG8gIIX8zKnE9grnlNvBQvMEgEFdJZaQ1+qkgAD01FEnm9EPJ9BVGdGVUKw0hKQ\nQGYJzJo1q29NTc1CHHz6ueeeG82LUpoy66yOSSAlAk7hSAm0xUigNQJEngcjnu/naRtfZcHg\n5a2l8ZgEJCCBUhGgj+pN2Yvop9547bXXDhw3btyqUvliuRLIEgEj0FlqDX2pKgINDQ17MSjN\no9LXK56rqumtrATKgsDUqVN74Oi9WE1jY+NhiueyaDadTImAEeiUQFuMBJoTiMU4iOfFIaCZ\n8zyRc84nbA7IzxKQQEkJ5N6EOo+pZTtzh2wgbxl8saQOWbgEMkbACHTGGkR3Kp8At0R3yC3G\neYSozonUWPFc+c1uDSVQNgQmT57clZc5zUA892PB4EGK57JpOh1NkYBvIkwRtkVJIBbjEHWO\nlexPMzC5GMc/CQlIIHME+vXrNxXxfCAvc9qXBYP/lzkHdUgCGSDgFI4MNIIuVAeBWIyDeH6E\n2q5mMc5Bziesjna3lhIoJwJML7uSfupkfD6QpwL9vJx811cJpEnACHSatC2raglMnz69J5W/\nj6hOl9WrV7sYp2r/Eqy4BLJLgB/5X0E8n0Y/dbjiObvtpGfZIGAEOhvtoBcVTCAW49TV1cWb\nBd/HtI2B3BL9WwVX16pJQAJlSADx/GnE8xTE8ycRz3PLsAq6LIFUCRiBThW3hVUbAcRzDYtx\nZlLvD7FgUPFcbX8A1lcCZUAA8TwaN7/F0zYm8khNxXMZtJkulp6AArr0baAHFUyAyHMsxtmf\nyLOLcSq4na2aBMqVAG9CPRzfb8Y+h3iOvZsEJFAAAQV0AZBMIoGOECCq83WuO5qozgFM23iq\nI3l4jQQkIIGkCCCe9+WRmreT/4VM2/hmUuWYrwQqkYBzoCuxVa1TyQkgni9gPuG5iOfDiOr8\nsOQO6YAEJCCBZgQQz3vW1NQ8zKGbeJnTGc1O+VECEiiAgAK6AEgmkUB7CMydO/czpP8m4nkU\n4vmu9lxrWglIQAJJE2Btxq5ML4s3od6PeD6O8nyZU9LQzb/iCDiFo+Ka1AqVkgDieQxznmMl\n+/GK51K2hGVLQAKtEUA8vwfxHC9z+jELm49nr3huDZTHJNAGAV/l3QYgT0ugUAK8gOAI0t6M\neP4s4nl6odeZTgISkEAaBOij+uTE8x+ef/75o1mb0ZRGuZYhgUok4BSOSmxV65Q6AQam/ViM\n8wDTNi5GPF+SugMWKAEJSGATBIg8vxXxvIgkjTwV6EDE8+ubSO4pCUigDQIK6DYAeVoCbRFg\nweCHmUv4QyLPN7KS/cy20nteAhKQQJoEEM/dEc/z6ae2YtpGPFLz5TTLtywJVCIB50BXYqta\np9QINDQ0vJ9B6QHE852I57NSK9iCJCABCRRAYOrUqWjnujn0U+9as2bNwNGjRyueC+BmEgm0\nRUAB3RYhz0tgIwR4DNT2TNtYgHh+jFuiE0nmYpyNsPKwBCSQPoHJkyd37dOnzy2I5z3op0I8\n/zV9LyxRApVJwEWEldmu1iphArEYJ8QzxfyOxTjHuBgnYeBmLwEJtJtA//79r0c8H8yFB3OH\n7E/tzsALJCCBjRJwDvRG0XhCAq0TYM5zb84swv7pYpzWGXlUAhIoLQF+5F/Oj/xTm5qaDho5\ncuRPS+uNpUug8gg4haPy2tQaJUiA+YQ9iOjcQxG1LMaJV3S7kj1B3mYtAQm0nwDi+cv0U2ch\nng9XPLefn1dIoBACRqALoWQaCUAgFuP07dt3HnMJd+FxdQMZmF4UjAQkIIEsEeAO2Un4cx39\nVD2P1LwjS77piwQqiYAR6EpqTeuSGIHcYpwZDEr9Fc+JYTZjCUigEwR4E+rR9FEhnk9UPHcC\npJdKoAACCugCIJlEAgMGDPgOg9JB2H5Enp+RiAQkIIEsESDyPJT+6RbsbMTzjVnyTV8kUIkE\nfApHJbaqdSoqAaI6X2NQGs18wsMYmJ4sauZmJgEJSKCTBJjzPJAs5mCX0Edd08nsvFwCEiiA\ngHOgC4BkkuolQFTnPBbjnIeAPpzHQD1UvSSsuQQkkEUC9FED8GsRdgt91GlZ9FGfJFCJBBTQ\nldiq1qkoBIjqnMxjoL5F5LmeaRt3FiVTM5GABCRQJAL0UbvwA38x2c1HPI9j78ucisTWbCTQ\nFgHnQLdFyPNVSYCB6RgGpmuJPJ+geK7KPwErLYFME2Bq2XY4GG9C/dnSpUsn8FnxnOkW07lK\nI2AEutJa1Pp0mgAD02EMSnPJ6AtEdb7R6QzNQAISkEARCcyePXvbbt26LaafenHFihVDJ0yY\n8EYRszcrCUigAAIuIiwAkkmqhwDieRCDUgN2seK5etrdmkqgXAjMmDGjV11d3QP4u/Lll18+\nSvFcLi2nn5VGwAh0pbWo9ekwgYaGhj1qamoeJoPpiOfTO5yRF0pAAhJIgACR5+6I5wfJeht+\n5A/iiRsvJVCMWUpAAgUQMAJdACSTVD4BBqZdEc8xMM1DPJ9R+TW2hhKQQDkRiDehsjXg83Zr\n164dongup9bT10ok4CLCSmxV69QuArEYh2jOAhYN/mTJkiXHc7GLcdpF0MQSkECSBHJvQr2Z\nPurDjY2NA+vr6/+SZHnmLQEJtE1AAd02I1NUMIFYjIN4XsjA9MdXXnnlaAaqdRVcXasmAQmU\nIQHehPpt+qmh69at2w/x/McyrIIuS6DiCDgHuuKa1AoVSgDx/FZWsj/MwLSOxTgHTpw4cWWh\n15pOAhKQQBoEeFHKpfzAj2llQ4YNG/bjNMq0DAlIoG0CCui2GZmiAgnkF+MwML1t/fr1+zqf\nsAIb2SpJoMwJ8Dz6c+ijvko1jmRtxvwyr47uS6CiCLiIsKKa08oUQqD5YhzmEx6seC6Emmkk\nIIE0CbA24wTE88X8wD9W8ZwmecuSQGEEnANdGCdTVQiBWIzTt2/f6VRnT6ZuuBinQtrVakig\nkggQef4k/dN3qNMk3oQaT95wk4AEMkZAAZ2xBtGdZAn069fvOko4BNuPqM6fki3N3CUgAQm0\njwCR50MQzzOIPp/DnOdp7bva1BKQQFoEFNBpkbackhNgYLoMJ8ZySzSeofrrkjukAxKQgASa\nEaCP+jhf78CuQDx/vdkpP0pAAhkj4CLCjDWI7iRDgJXs55LzZCI7RyCeFyRTirlKQAIS6BgB\npm30J+q8iKtv5e7YZzqWi1dJQAJpEXARYVqkLadkBBiYTqTwi7AxiueSNYMFS0ACGyHQ0NCw\nc9euXeNNqPctXbr01I0k87AEJJAhAkagM9QYulJ8AkSe68l1FpHnkxDPNxS/BHOUgAQk0HEC\nc+bMeTfi+TGiz0/yJtRhvsyp4yy9UgJpElBAp0nbslIlQOT5UAaleYjncxDPV6dauIVJQAIS\naIPArFmztunevfuj9FN/502oh0yYMOGNNi7xtAQkkBECCuiMNIRuFJcAUZ19ampq4sUDX2cx\nzgXFzd3cJCABCXSOwLRp07bceuutHyaXLqtWrdp/7Nixr3UuR6+WgATSJKCATpO2ZaVCgGkb\nAyhoEVGdGYhn5xOmQt1CJCCBQgnceOONm/fu3fsB+qi+q1evHjRmzJh/FHqt6SQggWwQ8DF2\n2WgHvSgSgViMQ1YPMjDdg3g+rUjZmo0EJCCBohBgjnMt4vl2+qj3NjU17aN4LgpWM5FA6gQU\n0Kkjt8CkCMRiHKZtLGTO889ZjHMc5byZVFnmKwEJSKADBLoMGDDgJvqoj65bt27gqFGjXuhA\nHl4iAQlkgIBTODLQCLrQeQKxGKdHjx6LGZiWrVix4lAX43SeqTlIQALFJcCLUq6ljxpLroN5\n1vOS4uZubhKQQJoEfA50mrQtKxECM2bM6MVK9gcZmFa9/PLLRyqeE8FsphKQQCcIsDbjUi6f\nwJtQD1c8dwKkl0ogIwScwpGRhtCNjhGIxThbbLHF3Yjn7mvWrNl34sSJKzuWk1dJQAISSIYA\nj9T8LDl/HvF81MiRI3+UTCnmKgEJpElAAZ0mbcsqKoFYjLPVVls1IJ63Z2Aa6GKcouI1MwlI\noAgEEM/Hs2Dwa2QVb0J9oAhZmoUEJJABAgroDDSCLrSfAOK5a//+/W/myr1YyT7IxTjtZ+gV\nEpBAsgSYtjGSEr7Lj/xPI55nJ1uauUtAAmkSUECnSduyikYA8XwtmR1G5Hkw4vkPRcvYjCQg\nAQkUgQCR5yFkMwv7EuL5e0XI0iwkIIEMEVBAZ6gxdKUwAgxMl3NLdDyph7AYZ2lhV5lKAhKQ\nQDoE6KM+1rVr1zsp7UqeRx/TN9wkIIEKI+Bj7CqsQSu9OjwG6vPcDr0EAX0UA9ODlV5f6ycB\nCZQXAfqo3fH4Ee6OzSbyfHJ5ea+3EpBAoQR8jF2hpExXcgLMJ5yIeL4cG6t4Lnlz6IAEJNCC\nAH3U+zg0H3vwiSee+EyL036VgAQqiIAR6ApqzEquCm8ZHMUt0duIPJ+MeP5+JdfVuklAAuVH\nYPbs2e+qq6t7DM+fWr58+bBJkyatLb9a6LEEJFAoAQV0oaRMVzICRHUOpvB41vN53BK9smSO\nWLAEJCCBVggw5/lt/MB/lD7qpbVr1x5SX1+/ppVkHpKABCqIgFM4KqgxK7EqzCf8OFHnWIzz\nNcVzJbawdZJAeROYNm3alvRR91OLfyKej1Q8l3d76r0ECiVgBLpQUqZLnUBDQ0O/mpqaRxic\nbmPaxqdTd8ACJSABCWyCQLwJlZc53Ufk+V2I54GI579vIrmnJCCBCiLgY+wqqDErqSrMJ9yp\ntrZ2PgPT/UuWLDmlkupmXSQggfInkHsT6g/oo3biR/4+iufyb1NrIIH2EHAKR3tomTYVArnF\nOAso7H9ZjDOegWp9KgVbiAQkIIHCCHThZU43IJ4/RuR5CHfIni/sMlNJQAKVQsApHJXSkhVS\nj1iMQzRnMdX5BwOTi3EqpF2thgQqiQALm6dQn3FNTU378ybUX1VS3ayLBCRQGAEj0IVxMlUK\nBGIxDivZH6CoNatWrTrCxTgpQLcICUigXQRY2HwxF5zAD/0jFc/tQmdiCVQUAedAV1Rzlm9l\nYjFO796951GDLYk8Dxo7duxr5VsbPZeABCqRAJHnM5m28QXEM7M2hsWdMjcJSKBKCSigq7Th\ns1TtWIyDeJ7NoLQjfrmSPUuNoy8SkMC/CCCej+PD1xHQY4cPH36fWCQggeom4BSO6m7/LNQ+\nFuPciCN7r1+/3sU4WWgRfZCABDYgwJtQh/MD/3uI51N5Hv1tG5z0iwQkUJUEjEBXZbNnp9K5\nxThH4tFgBqbfZ8czPZGABCTwlrfQRx2IeL6VH/hfoY/6jkwkIAEJBAEFtH8HJSPAEzcuofCJ\nRHUOZmBaUjJHLFgCEpBAKwR4mdPeHJ6LXUMfdXkrSTwkAQlUKQEfY1elDV/qaiOezyKqcwV+\nfIL5hPEaXDcJSEACmSFAH/Uh+qhHsDksGDwpM47piAQkkAkCRqAz0QzV5QQD0wQGpSuxYxmY\nFM/V1fzWVgKZJ8Cc5x3pn+bj6ELehHpy5h3WQQlIIHUCRqBTR17dBSKeRzAwzYbCZ4g8f7e6\naVh7CUggawQQz+/gefSP0U/9ftmyZUdNmjRpbdZ81B8JSKD0BBTQpW+DqvGAgekgBqZ7GZjO\nJ/Ic0zfcJCABCWSGwOzZs7fu1q3bozi0AvF8MOJ5dWac0xEJSCBTBBTQmWqOynUG8fw/NTU1\nC1kwOIXI85cqt6bWTAISKEcCiOct6urqHsL3zbDB9FMryrEe+iwBCaRDwDnQ6XCu6lJ49e3u\nALgP8TxT8VzVfwpWXgKZJDBlypTNEM/xtI2t6KcG8sQNxXMmW0qnJJAdAgro7LRFRXrCM1Tf\nR8XmMyjNX7p06acrspJWSgISKFsCRJ5rEM/xcpRdedbzwJEjRy4v28rouAQkkBoBBXRqqKuv\noFtvvfWdzHdegHj+1fLlyz/FK7vXVx8FaywBCWSYQBfE8zT6qYHr1q0bNGrUqD9n2Fddk4AE\nMkTAOdAZaoxKciW/GAfx/MratWsPrq+vX1NJ9bMuEpBA+RPgDtk3EM8T6KcOYHrZL8u/RtZA\nAhJIi4AR6LRIV1E5ucU49zMooZ3XHqF4rqLGt6oSKBMCrM34Kq5OYtrGocx5VjyXSbvppgSy\nQkABnZWWqBA/cotx7qI6vRHQgxDPr1ZI1ayGBCRQIQR4Hv3pVOVLiOfhiOdHKqRaVkMCEkiR\ngAI6RdiVXlRuMc4PqOfORJ4HIp5djFPpjW79JFBmBBDP45i2cTVuj0M831Nm7uuuBCSQEQIK\n6Iw0RAW40YUXENxA1PnjiOeIPD9XAXWyChKQQAURQDx/gpc5TaNKp/Myp1kVVDWrIgEJpExA\nAZ0y8EotjvmE36Buw7gluj/i+XeVWk/rJQEJlCcBxPMBiOcf8CP/fBYMXleetdBrCUggKwQU\n0FlpiTL2g5XsFzIonRiLcXiG6uNlXBVdl4AEKpAAb0L9CNM27qKfuhbxfFkFVtEqSUACKRPw\nMXYpA6+04hDPZ1CnK2MxDuL53kqrn/WRgATKm0BDQ8NuNTU1sVBwLuL5hPKujd5LQAJZIWAE\nOistUYZ+cEt0PG5fhX1K8VyGDajLEqhwAixsfm9tbe18qvlwY2PjpAqvrtWTgARSJGAEOkXY\nlVQUkedh3BK9nVuipxPVub6S6mZdJCCB8ieAeH47bxl8jJr8iYXNR7I2o7H8a2UNJCCBrBDo\nmhVH9KN8CCCeD0Q838a0ja8onsun3fRUAtVCYObMmVshniPyvHzlypUjFM/V0vLWUwLpETAC\nnR7riigJ8fxRKvIQkefv8AzVsyuiUlZCAhKoGALTp0/v2atXr4VUqAf91H78yF9RMZWzIhKQ\nQGYIKKAz0xTZdyS3GOdRBqU7EM8nZt9jPZSABKqJANM2eBx9t1jMvMPq1asHjhkzZlk11d+6\nSkAC6RFwEWF6rMu6pFiMw0r2BUzdeGjp0qUuxinr1tR5CVQeAfqoGqZt3ErNPsCPfMVz5TWx\nNZJApggooDPVHNl0hmeovoMXECxEPD/BSvaxkydPXp9NT/VKAhKoUgLxJtTvxZQN1mYM4g7Z\ns1XKwWpLQAIpEXARYUqgy7UYojpbI55jMc7fli1b5mKccm1I/ZZABRPgTajxOM1RTU1NhyKe\nn67gqlo1CUggIwScA52RhsiiG7nFOLFgcHP8G+xinCy2kj5JoLoJ8Dz68/mRfy791FD6qEXV\nTcPaS0ACaREwAp0W6TIrZ8qUKZuxkn0ubr9tzZo1hyiey6wBdVcCVUCApwKdinj+CpHnoxXP\nVdDgVlECGSJgBDpDjZEVV2IxDvMJ4yUpH2E+4UDeMvjnrPimHxKQgASCAOJ5LLubsOMQzzPY\nu0lAAhJIjYCLCFNDXTYFdWEl+/fxdhACel/Fc9m0m45KoGoIMOf5SCp7I33UmYrnqml2KyqB\nTBFQQGeqOUrvDFGdq3naxkgGpv1djFP69tADCUhgQwL0UYM5Mpu7Y5Ppo67d8KzfJCABCaRD\nQAGdDueyKIWB6QLE88kMTLGS/Zdl4bROSkACVUOAlzntRR81jwpfTx91SdVU3IpKQAKZI+Ac\n6Mw1SWkcQjyfxsB0NaWPGDZs2N2l8cJSJSABCbROgKdtfIAFg49y9m76qIns32w9pUclIAEJ\nJE/ACHTyjDNfAuL5Uzh5DZHn8UR1FM+ZbzEdlEB1EaCP2oEf+AuYWvbo2rVrT6T2iufq+hOw\nthLIHAEfY5e5JknXId4yeBQD0w0MTGcgnmemW7qlSUACEtg0gVmzZvUN8UyqpxHPo+vr65s2\nfYVnJSABCSRPwCkcyTPObAmI5/1ramruw8GLuCV6aWYd1TEJSKAqCRB57o14foTKr37ttdcO\nGjdu3KqqBGGlJSCBzBEwAp25JknHIcTzRxDPdxF5vk7xnA5zS5GABAonMHXq1B6kvpc+quuq\nVasOU29DKUQAABcCSURBVDwXzs6UEpBA8gSMQCfPOHMl8KKUD/Ks51iMcxfPUD2BvfMJM9dK\nOiSB6iVAH9WNPirWY7yPtRmDeB79i9VLw5pLQAJZJOAiwiy2SoI+5RbjzCeqs4j5hCdRlOI5\nQd5mLQEJtI/A5MmTu/Im1FiP8aHGxsaBzHlWPLcPoaklIIEUCCigU4CclSKI6rwdXxYinp9C\nPI9xMU5WWkY/JCCBPIH+/ft/lz7qgKampn3po/4vf9y9BCQggSwRcA50llojQV9mzpy5FVGd\nB1mQ8/eVK1cOZ2BqTLA4s5aABCTQbgI86/lKLjoaGzpq1KjftDsDL5CABCSQEgEj0CmBLmUx\n06dP79mjR49YjNNl9erVLsYpZWNYtgQk0CoBxPOXeVHKacx5PoxHav681UQelIAEJJARAi4i\nzEhDJOVGbjHOPeS/I9M2Yj7h35Iqy3wlIAEJdIQAazM+zd2xKfzI/yQLm+d2JA+vkYAEJJAm\ngZo0C7OsdAkgnmtYyX4bA9OelDyYW6IvpOuBpUlAAhLYNIG5c+eOIcX3EM8TiTz/YNOpPSsB\nCUggGwScA52NdkjEC8Tzd8l4MCvZhxDVeTaRQsxUAhKQQAcJ8Dz6wxHON2GfRTxP72A2XiYB\nCUggdQLOgU4deToFckv0KiLPn2Ql+4FM23gqnVItRQISkEBhBBDP+zLn+XbE88WI5ymFXWUq\nCUhAAtkg4BzobLRDUb1APH8F8fxlxPNQXkDwcFEzNzMJSEACnSSAeN6TN6E+jHi+kbtjZ3Yy\nOy+XgAQkkDoBBXTqyJMtkPmEn6GEb7KSfRRRnbuSLc3cJSABCbSPQENDw/tra2sXI57vRTxP\n4Gpf5tQ+hKaWgAQyQMApHBlohGK5wGOgjmVQiluhExTPxaJqPhKQQLEIsLD5PUSeF9BPPcZT\ngSaSr+K5WHDNRwISSJWAiwhTxZ1cYYjnI5hPeBMlnEVU55bkSjJnCUhAAu0nQB/Vh4XNC7ny\n988///wxrM1oan8uXiEBCUggGwScwpGNduiUFwxM+yGeHyCqcyni+aJOZebFEpCABIpMgMjz\nWxHPi8i2kchzLGx+vchFmJ0EJCCBVAk4hSNV3MUvjAWDH2bB4N2I5+8onovP1xwlIIHOEZg6\ndWqPbt263UsudTxSU/HcOZxeLQEJZISAEeiMNERH3Gi2GOcexPPx5OF8wo6A9BoJSCARAojn\nur59+84j813XrFkzcPTo0X9NpCAzlYAEJJAyASPQKQMvVnE8Bmp7pm0sIL/F3BI9gb3iuVhw\nzUcCEug0gcmTJ3ft06fPDO6O9eepQIrnThM1AwlIIEsEXESYpdYo0JdZs2b1zYnn3z333HOj\nXYxTIDiTSUACqREYMGDAd5heNgQBfTDPo38mtYItSAISkEAKBJzCkQLkYhbBnOfe5LeIgekN\n5hMe5GKcYtI1LwlIoBgE6KeuoI86Zd26dQeOGjXqZ8XI0zwkIAEJZImAUziy1Bpt+BKLcUgS\ni3FqEM+HKZ7bAOZpCUggdQKI53MRz2fwJtQjFM+p47dACUggJQJGoFMC3dlieAwUC9m7zeN2\n6M4xn5Bboi92Nk+vl4AEJFBMArwJdRL5XUsfdTQvc7qjmHmblwQkIIEsETACnaXW2IgvsRgH\n8RyLcfopnjcCycMSkEBJCfA8+mPoo76NEyconkvaFBYuAQmkQEABnQLkzhbRr1+/qQxMB2L7\nuRinszS9XgISKDYBpm0MJc/p9FFnI55vKnb+5icBCUggawR8CkfWWqSFP9wS/RrzCY9hPuFh\nDExPtjjtVwlIQAIlJUAfNQgH5tBPXUYfdU1JnbFwCUhAAikRcA50SqA7UgwD05e47nyiOofz\nopSHOpKH10hAAhJIigAvc9qjpqbmYfK/hT7qtKTKMV8JSEACWSOggM5ai+T8YT7hyTzr+VtE\nnuuZtnFnRt3ULQlIoEoJ0EftQtT5Mar/IOJ5HHtf5lSlfwtWWwLVSMA50BlsdeYTjsatWMk+\nUfGcwQbSJQlUOQHujm0HgngT6k+WLFkygb3iucr/Jqy+BKqNgBHojLU4A9NhTNmYi1tnE9X5\nZsbc0x0JSKDKCfBIzW15KtBiMPz1lVdeOWzChAlvVDkSqy8BCVQhgZoqrHNmqxyLcRDPd+Pg\n5YjnKzLrqI5JQAJVSWDGjBm9unfvHusx3njppZeGHn/88aurEoSVloAEqp6AEeiM/AnMmTNn\nz1iMg4C+GfF8ekbc0g0JSEAC/yJA5Ll7XV3dg8x7fhvTy/bliRsviUYCEpBAtRLwMXYZaHkG\npl1ZMPgArsxFPJ+RAZd0QQISkMB/CEydOhXtXNfAge0aGxsPVjz/B40fJCCBKiXgIsISNzzi\n+T0MTLEY58csxpnI3sU4JW4Ti5eABP4/gXgTat++fadzZE/E86D6+vq//P+zfpKABCRQnQQU\n0CVsdx4D1YfboQuwPz733HNHM1CtK6E7Fi0BCUjgvwgMGDAgXs99yLp16wYjnv/4Xwk8IAEJ\nSKAKCTgHukSNTuT5rUSeF1H8WrYDGJheL5ErFisBCUigVQIsbL6ME6cx53kI0zZ+0moiD0pA\nAhKoQgJGoEvQ6LnFOPcQee7GwHSQ4rkEjWCREpDAJglwh+xsFjV/lkRHKp43icqTEpBAFRJw\nEWHKjZ5bjDMH8fyuNWvWRFTHlewpt4HFSUACmyaAeD6RPiqiz2NY2Dx/06k9KwEJSKD6CBiB\nTrHNYzFOnz59bmFg2oPIzsDRo0f/NcXiLUoCEpBAmwR4E2o9ia7HJiGe57R5gQkkIAEJVCEB\nBXSKjd6vX7/rEM8HU+R+DEx/SrFoi5KABCTQJgEiz4eSaAb2RfqoaW1eYAIJSEACVUpAAZ1S\nwzMwXc6znsc2NTUdNHLkyF+nVKzFSEACEiiIAC9z2oc+KiLOXxs2bNhVBV1kIglIQAJVSsCn\ncKTQ8Kxk/yJTNi7EjmDOczzz2U0CEpBAZgjwA78/d8cW4dAsIs+nZMYxHZGABCSQUQIK6IQb\nhvmEJ1HEdYjnesTzHQkXZ/YSkIAE2kWgoaFh59ra2sX0UQ8hnsdysS9zahdBE0tAAtVIwKdw\nJNjqRJ6PJvsQzycqnhMEbdYSkECHCDBt4901NTUL6KN+sXTp0vFkonjuEEkvkoAEqo2AEeiE\nWpzI81CyvouB6RzE89UJFWO2EpCABDpEYNasWdv06NEjIs/LVqxYceiECRPe6FBGXiQBCUig\nCgkooBNodOYTDmQxzoMMTFdzS/QrCRRhlhKQgAQ6TGDGjBm9evbs+cPIYNWqVQeMHTv2tQ5n\n5oUSkIAEqpCAArrIjU7keQBZLmJBzgxWsp9a5OzNTgISkECnCNx4442b9+7d+wH6qL6rV68e\nNGbMmH90KkMvloAEJFCFBHyMXREbncjzLmT3IAPTPYjn04qYtVlJQAIS6DQBXuZUi3i+nYx2\n4JGaAxXPnUZqBhKQQJUSUEAXqeFZMLgdWcVinJ8tWbLkOD67GKdIbM1GAhIoCoEu/fv3v5kf\n+B9Zt27doFGjRr1QlFzNRAISkEAVEnAKRxEaffbs2dt269YtFuO8yGKcoS7GKQJUs5CABIpK\ngOll3ybDMfRTg1nYvLSomZuZBCQggSoj4GPsOtngsRinrq7uAbJZ+fLLLx+leO4kUC+XgASK\nToA7ZBcTeT5u/fr18TInxXPRCZuhBCRQbQSMQHeixYk8dyfy/AARnW3XrFmzr/MJOwHTSyUg\ngUQIEHn+HBlfhoA+krUZDyZSiJlKQAISqDICzoHuYINPnTq1DvF8O+J5+7Vr1+6jeO4gSC+T\ngAQSI4B4nkjmV9BPjeaRmornxEibsQQkUG0EFNAdaHFWsnft06fPzVy6F+J5YH19/V86kI2X\nSEACEkiMAG8ZHEXmUxHPn2baRjx5w00CEpCABIpEQAHdAZCsZL+Wy4aykn0/xPMfO5CFl0hA\nAhJIjACR54PJfCbi+VzE8/cSK8iMJSABCVQpAQV0OxuegelS5hKO57IhPAbqiXZebnIJSEAC\niRLgefQfo4+6A/F8FeL5ykQLM3MJSEACVUrARYTtaHhWsn+eQekSBqejXIzTDnAmlYAEUiHQ\n0NDQr6am5hH6qNvooz6dSqEWIgEJSKAKCfgYuwIbnajOeMTz5TwG6ljFc4HQTCYBCaRGgDnP\n29fW1sabUB/gZU6npFawBUlAAhKoQgIK6MIbfXuSThg5cmRD4ZeYUgISkEA6BBDO2/Ejf96y\nZcvGsdB5fTqlWooEJCABCVQigY9SqeFYtwQrt2WujP7tLKNn7rph7DffxLXxivCow8c2kcZT\nEpBACgS4E7VLCsVYhAQkIAEJSKCkBOLRTW9i2yboxW65MuI1ue3dIpod/n1rIxd253gsVFyL\n7bORNB6WgARSIMCLk7ZmHcQaFhI/xH73FIq0CAlIQAISyCiBSl9EeC7cQ3gei72aUBvE1I4Q\nz/di17ezjK1JHwL5Xdhh2P1Y820aX47HzsGuaH7CzxKQQPoEIgLdtWvXq5kqcSilxzOWz+dJ\nFy91wJPoeyOP/8G2wH6LPYL9Hmu5xdOSDscGYJthS7C7sTVYfvsAH+KO29+wli9MGcSxHbFf\nYE9hbhKQgAQkIIGyJ3AANYj5ijHwNY+Uj+d7RKdDVFf6Dx2q6CaB8iFABPoQItFPsX8ZUX06\nc47b80jQOmoa/6/j//c6bFnu8z/Zn4o130L4/gyLtBEE+Efucwjhflh+24oPz2OR30fyB9l/\nCAuh/SzWG3OTgAQkIIEiEEhbmEUnfxT2YywGgkOwPbGIwkbU5O/Y5li8BGAg9gr2A+wZrOW2\nMwdCfO6KPYstwiKf5tt+fNkBizzewPJbNz6MwPK3YZfy+R5sNdZ8Cz5tRYliUPoEFhGkGOjy\n2zv4EG8Cex+2HPsNFlHqGOBabl/jwNnYXGw49gHsf7EV2AAsuLhJQAIZIhCimZcqnYJLk7EX\nsTN5XfZ89m1t40hwM3YldhG2EvsgthCLPjL6jvi/H/3Pz7HoI8djM7EQ0kOw27DoQ6MPa8Ri\ni/4w8oi+5sNYXP8LLPqTfbGfYG4SkIAEJFCGBCJiEgPAxdgfc5/X5vZx6zKmMjyc+x6DQqRd\nhe2BNd8+x5eI1kTkNh91aeLzJVgMGvntdj5EHtvmD7CPvP6AxfHXsFdzn+NY3ALNb3V8KCRK\ntBvpIq9v5y9kfxAWgj2OxyAXvsbnGMyiji23EPS/xCJNDK7xOYT2fpibBCSQYQKzZs3ahkj0\n9USk12HzeBbzzm24G/1U/F/fv0W6CBycgvXNHT+GfaSL6Rottws5EOcmtTjx9dzxr7C/Ovf5\n3BZp/CoBCUhAAp0k0FxsdjKrgi4PAb0Ui45/FvYFLITvldinsIgAP4KFwI4I7OlYnJuNHY3F\ndiQ2D3sUG439FdsSm5r7fhz7m7HYbsciCtwH+zvWHfsV9m7sBCzyDV+GYzdhEQmKaE0I60Kj\nRLuR9knsOuwULLZnsPBpP+wpbAssBrEvYVdg52Att/dzIIRzROC7YjEABodWNwbpPZiL2bPV\nkx6UgARKQeB9PEou+qzdsYaVK1eeOW7cuOWtOBKR4oew17FbsPih/kMsggXNt2/w5Qzss1ik\nb759kC+3Yt/HTmx2YjM+/xyL/qQOi+sOwdZjbhKQgAQkUCQCtUXKp73Z/IULJmL/zF04hf2n\nsOjkI+oSAja2q7BLsRgM8tuVuQ8xqIR4ji2Ebwwiw7DLsOlYCOOW28kc2BU7H7ut2ck7+LwD\nFuWdhX0Vi3SxxeAW+ccWYvg4bGdsM6y1bXMObo8txp7OJYiB8kIs9ktyx1rufsuB+BEQ5b+K\nhS+tbjwNYAtemPAYJ3u0msCDEpBAqQmM3mKLLd7AieNbcSTEcvyAj//jn85Z9IULsYuwn2Gx\nRT8T29X/3rX6704tjkY+IeIX5Y5HP6l4zsFwJwEJSKBYBEoloH9DBfLiOery61yFfsc+L57j\nUIjgZdiW8YWtNxbCNqZbrMX6Yc23X/BlX+ydWIj0llv/3IGZLU/wfQYWA9peuXMRuYmI8Tzs\nFiwfJZrP57CNbTFo/giL6POPsdnYA1iI6cuwjW0xEJ6QO/lW9pdgMfj911ZfXx9CfAuEdNf/\nOukBCUggdQLbbrttl1dfffU4nspxCVHoVezP5ukcczbhyDTORT90EHYINhQ7HBuS+76IffQl\nsR2LRT/Y2ta8v8yfjx/h+S0EeQQW3CQgAQlIoIwJhOANUTy1RR1qc8cjAtNye5YDz+QOfoR9\nXN+WhXiN7XYs0m4bX9h+gkU0pi6+tLKt5lg+ahynJ2IrsHx5MaDdg+2N5bfd+BDnv50/wL4P\n9kMsf13sow6TsW5Yy20zDvwSi3RjsRgsw88YWN0kIIEME+ApHAOZ+/xLbCVzob80ZcqU+P+8\nqW0nTh7WSoIvciz6gHz/eFnu+xGtpI1gQojv7VqcO4Hvkcf3sBDp8TmOuUlAAhKQQBkTyAvo\nb7WoQy3fo6NvS0DvnksXEd0DN2Fv41xsLQV05B/l9IqTLbYQtiFaY4508y2mZMQAFj7/EYvr\nI3o+GIutNQH97zNvecsufIg5jPdja7C49kGs5TaFA3Huu7kTR+W+v8g+L/5zp9xJQAJZIMAd\noPcgmm/DmhDON8+ZM+cdBfp1J+ni//vhLdJH9DmOX5M7/jH20SfFnaya3LH8bgYfIm19/gD7\nnbC4O/UcFn3cW7EXsDgW59wkIAEJSKBMCXRWQHen3jGgxALD1raIDO+F5aO8LQX09ZyLQed/\nsJZb3re5uRMx4BQSJWopoHty3UBs11w++V2I+hjMovx35g+yH5479jT75nOap+aO383eTQIS\nyAiBqVOn9kA0T8ZWI5x/wv6j7XRtf9I3YdEfXIIdip2LxQ/0uMsVd9ry2w18iD7jMexoLPqL\nWCQdx+7C8lstH36KxfGD8wfZh0iPY3Eu0rhJQAISkEAZEsiL1IjmNt+iY49OPiLELbdnOfBM\ns4MRfY60LcVtCNl/Ykux/BSN2/kcafNR3ENy32Pg6YI1327jS6QdnztYaJQoyo3r8lM4+ue+\n/yKXT/Pdj/iyDts6d3B79i9j4feA3LH8ricffodF3qfmD7qXgARKRwDBfDSC+Tn2L7Afiyct\n+5FCnQsx/CwW/7/DIjDwG2xvrPkW6xzOxppPJYu0Ddjbsfw2mQ+RT0zdaLlN50Ccm9zyhN8l\nIAEJSKA8CBRDQEdkd03OLmAftz2/gEX0JsRpRKDzW0sBHcfvwGIwuQeLaM4nsPyxmEKRHxD3\n53MhUaKWAprL/jP/OaLZ47G4zZofxPILi+JHw0+w8OUsrLXtIxyMxZJR3w+1lsBjEpBAOgSY\nsrE1ovkfiOeLp0+fHj9wO7uFOH43tifWq4DM3kOa+IFeSNoCsjOJBCQgAQmUC4F+OBqCsTMR\n6Kjr+7FHsRC4kV/YC9h4rPnWmoCO6PSFWMwLzF8b4vtSLC+e+fivrZAoUWsCOqZrzMJC0OfL\niNXy12L56PjXcufuZ9+yXA79Z/synyKPJ7DN/3PUDxKQgAQkIAEJSEACEugAgZgzHFMftsda\nLrJpK7sQre/DtmsjYXujRM2z24IvIbB3xjYlkptf42cJSEACEpCABCQgAQlIQAISkIAEJCAB\nCUhAAhKQgAQkIAEJSEACEpCABCQgAQlIQAISkIAEJCABCUhAAhKQgAQkIAEJSEACEpCABCQg\nAQlIQAISkIAEJCABCUhAAhKQgAQkIAEJSEACEpCABCQgAQlIQAISkIAEJCABCUhAAhKQgAQk\nIAEJSEACEpCABCQgAQlIQAISkIAEJCABCUhAAhKQgAQkIAEJSEACEpCABCQgAQlIQAISkIAE\nJCABCUhAAhKQgAQyTOD/AcTw0+HYTQIwAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 180,
       "width": 360
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "options(repr.plot.width=6, repr.plot.height=3)\n",
    "grXQtl <- dagitty('dag{\n",
    "QTL [pos=\"1,0\"]\n",
    "pheno [pos=\"2,0\"]\n",
    "sex [pos=\"1,1\"]\n",
    "meiosisX [pos=\"0,1\"]\n",
    "QTL -> pheno\n",
    "meiosisX -> QTL\n",
    "meiosisX -> sex\n",
    "sex -> pheno\n",
    "}')\n",
    "plot(grXQtl)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Meiosis randomizes the QTL (assumed observed via close marker) and sex (observed).  \n",
    "- The QTL and sex both _contribute_ to the phenotype.\n",
    "- If sex is an independent cause, and not adjusted, apparent association between QTL and phenotype is possible.\n",
    "- Similar considerations apply for cross direction.\n",
    "\n",
    "See Broman (2006) for more."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Loading required package: qtl\n",
      "\n",
      "Loading required package: vioplot\n",
      "\n",
      "Loading required package: sm\n",
      "\n",
      "Package 'sm', version 2.2-5.6: type help(sm) for summary information\n",
      "\n",
      "Loading required package: zoo\n",
      "\n",
      "\n",
      "Attaching package: ‘zoo’\n",
      "\n",
      "\n",
      "The following objects are masked from ‘package:base’:\n",
      "\n",
      "    as.Date, as.Date.numeric\n",
      "\n",
      "\n"
     ]
    }
   ],
   "source": [
    "if(!require(\"qtl\"))\n",
    "    install.packages(\"qtl\")\n",
    "library(qtl)\n",
    "if(!require(\"vioplot\"))\n",
    "    install.packages(\"vioplot\")\n",
    "library(vioplot)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# F$_2$ cross between F344 and WKY rats (Solberg et. al. 2009)\n",
    "\n",
    "Wistar–Kyoto (WKY) rat exhibits physiological and behavioral similarities to endophenotypes of\n",
    "human depression. A series of study were conducted to examine the genetic connections between behavior and physiology.\n",
    "\n",
    "![F344](images/F344.jpg \"F344\") ![WKY](images/WKY.jpg \"WKY\")\n",
    "\n",
    "Data from Solberg Woods (2009).\n",
    "\n",
    "Fig credit: Charles River"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " --Read the following data:\n",
      "\t 486  individuals\n",
      "\t 112  markers\n",
      "\t 25  phenotypes\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message in fixXgeno.f2(cross, alleles):\n",
      "“ --Omitted 1 additional X chr genotype(s).”\n",
      "Warning message in summary.cross(cross):\n",
      "“Some markers at the same position on chr 6; use jittermap().”\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " --Cross type: f2 \n"
     ]
    }
   ],
   "source": [
    "solbergURL <- \"https://phenomedoc.jax.org/QTL_Archive/solberg_2004/Solberg2004_F344xWKY_Data.csv\"\n",
    "cr <- read.cross(file=solbergURL,format=\"csv\",genotypes=c(\"a\",\"h\",\"b\",\"c\",\"d\"),crosstype=\"f2\",alleles=c(\"F344\",\"WKY\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>\n",
       ".list-inline {list-style: none; margin:0; padding: 0}\n",
       ".list-inline>li {display: inline-block}\n",
       ".list-inline>li:not(:last-child)::after {content: \"\\00b7\"; padding: 0 .5ex}\n",
       "</style>\n",
       "<ol class=list-inline><li>'animal'</li><li>'sex'</li><li>'pgm'</li><li>'litter'</li><li>'DBshocks'</li><li>'DBapproaches'</li><li>'DBlatencytobury'</li><li>'DBdurationofburying'</li><li>'DBrears'</li><li>'DBgroomtime'</li><li>'FSTclimbing'</li><li>'FSTimmobility'</li><li>'TSH'</li><li>'OFTinnerlinecrossings'</li><li>'OFTrears'</li><li>'OFTgroom.time'</li><li>'CORT0'</li><li>'CORT10'</li><li>'adrenalwt'</li><li>'weight11'</li><li>'weight17'</li><li>'glucose30'</li><li>'glucpostglucchall'</li><li>'fastinggluc'</li><li>'insulinpostglucchall'</li></ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 'animal'\n",
       "\\item 'sex'\n",
       "\\item 'pgm'\n",
       "\\item 'litter'\n",
       "\\item 'DBshocks'\n",
       "\\item 'DBapproaches'\n",
       "\\item 'DBlatencytobury'\n",
       "\\item 'DBdurationofburying'\n",
       "\\item 'DBrears'\n",
       "\\item 'DBgroomtime'\n",
       "\\item 'FSTclimbing'\n",
       "\\item 'FSTimmobility'\n",
       "\\item 'TSH'\n",
       "\\item 'OFTinnerlinecrossings'\n",
       "\\item 'OFTrears'\n",
       "\\item 'OFTgroom.time'\n",
       "\\item 'CORT0'\n",
       "\\item 'CORT10'\n",
       "\\item 'adrenalwt'\n",
       "\\item 'weight11'\n",
       "\\item 'weight17'\n",
       "\\item 'glucose30'\n",
       "\\item 'glucpostglucchall'\n",
       "\\item 'fastinggluc'\n",
       "\\item 'insulinpostglucchall'\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 'animal'\n",
       "2. 'sex'\n",
       "3. 'pgm'\n",
       "4. 'litter'\n",
       "5. 'DBshocks'\n",
       "6. 'DBapproaches'\n",
       "7. 'DBlatencytobury'\n",
       "8. 'DBdurationofburying'\n",
       "9. 'DBrears'\n",
       "10. 'DBgroomtime'\n",
       "11. 'FSTclimbing'\n",
       "12. 'FSTimmobility'\n",
       "13. 'TSH'\n",
       "14. 'OFTinnerlinecrossings'\n",
       "15. 'OFTrears'\n",
       "16. 'OFTgroom.time'\n",
       "17. 'CORT0'\n",
       "18. 'CORT10'\n",
       "19. 'adrenalwt'\n",
       "20. 'weight11'\n",
       "21. 'weight17'\n",
       "22. 'glucose30'\n",
       "23. 'glucpostglucchall'\n",
       "24. 'fastinggluc'\n",
       "25. 'insulinpostglucchall'\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       " [1] \"animal\"                \"sex\"                   \"pgm\"                  \n",
       " [4] \"litter\"                \"DBshocks\"              \"DBapproaches\"         \n",
       " [7] \"DBlatencytobury\"       \"DBdurationofburying\"   \"DBrears\"              \n",
       "[10] \"DBgroomtime\"           \"FSTclimbing\"           \"FSTimmobility\"        \n",
       "[13] \"TSH\"                   \"OFTinnerlinecrossings\" \"OFTrears\"             \n",
       "[16] \"OFTgroom.time\"         \"CORT0\"                 \"CORT10\"               \n",
       "[19] \"adrenalwt\"             \"weight11\"              \"weight17\"             \n",
       "[22] \"glucose30\"             \"glucpostglucchall\"     \"fastinggluc\"          \n",
       "[25] \"insulinpostglucchall\" "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "names(cr$pheno)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "   pgm\n",
       "sex   0   1\n",
       "  0 111 112\n",
       "  1 135 128"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "table(cr$pheno$sex,cr$pheno$pgm,dnn=c(\"sex\",\"pgm\"))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Violin plot: Log2 glucose by sex\n",
    "\n",
    "Males are coded as 1, females as 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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AEIQAACSSHQUQZ0uz7QmkSliQN+0E0k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uKBvnnnvumscff9yDMj2j4ClFLpLsIZAV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\nlBLF6uhw0BIEEEAAAQRqI0ACXRtXjopAIwSW9fT0HJtKOQ8ur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      "text/plain": [
       "Plot with title “”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 360,
       "width": 360
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "options(repr.plot.width=6, repr.plot.height=6)\n",
    "vioplot(log2(glucose30)~sex,data=cr$pheno)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Clearly there is a sex difference in glucose levels."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Violin plot: Log2 glucose by sex and cross direction\n",
    "\n",
    "- Males are coded as 1, females as 0\n",
    "- pgm=0 if F344 is paternal grandmother (direction) (n=246)\n",
    "- pgm=1 if WKY is paternal grandmother (direction) (n=240)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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SDvziSB0nVtC3Qm+y7OSsvaNDyzFHcOhaWyAh0n8XTnXVKWKxFZyp9WoNPdZ1HW\nTn1dGXlom68Uba6RHdoe6AMKQ8AKdGG6ulANbapAlyn4ui/U5TDc2Jple8sKtBdGGMZTuC8l\n//eKO0/50wp0cS6DkjU5hAVaqxFOLw4et7QdASsS7Qh5vwmYQF4IaMLQ8LK9KExy4fCkoLz0\nbvh2SFneXrFAlxVoTyoNzzGrZ4RWoGmoXTiy2tsx1NsKdAxQnWV6CZR9oNNbQdcsTgJTsTYN\n3/P4bgU6Ttrpz1txweXGU0oo0HLvsQW6zKMAH6EVaCYdWoEuwIXRaROHHyadnuDjTCDjBPSQ\nHPaDzXhbXP0QBLA0TitHWiidVf5uC3QIhjk7dHhhHbXLCnTOerd9c6ZxyPbqe0KrU+TqobjR\nrY7xvmIRsAJdrP4ufGu5AYpB6U/hYRQMgPwXq/0dx40bp/ufw1IV7Dqoau7w0u7ahgIt9x67\ncFQByvnXafT5UKPJ5o3arXsHUTs8Z6IRnIJuswJd0I7PebPbKcjt9uccT2GbJxeO4cbzXWE8\nPSQ7TKRwX7Qy5fC9gO96HtqFoziXgUakhl142jWbF24donuGI/e0g1WQ/VagC9LRBWtmabnm\nsrW5punlbaX9NTv8I/cE6PsaBZoHoiyOGsZ1KiYBKdDDLUeZ0vPQytEwkdx/mT5+/PjhF6h2\nra16+XYkjnawCrLfCnRBOrpgzSzdFBsp0GUOHd80C8Yt183lephc9RAMZFHCL3pmrhvtxrUi\nUKNAS5lmON8+rq2I5WvfDtwDOp4Pg7Jdab1jQVdIFPzTCnTBL4CcNr+phRklSjfMpvtzysPN\nUqfjv1gehi3x0HcUphmGU1gCNQq0wtkRlcM+rsW5HHaYMGHCcFjLds2uevm2At0OVkH2W4Eu\nSEcXrJklvzYUphHNLlulO/Z7G5GBN2SVgBSj0VUPwaD83cOxWe3R3us9oey2UcpJ0Rh4obIC\n3TvXrOQwA6vyMz48bWqtFyxkiMOsQLdhVZTdVqCL0tPFaqdcNNCVR3pqlC3QVqCLdT2otaWH\nXr0FmpcsK9DFuxYqLdbS7sPPwLI/tBXoCp2cf6IMz0OB7tiFQzh46ZYCbbevnF8bnTZv+ObR\n6Qk+zgQyQmCbFeiM9FQy1Swp0FV+jIG+c404jF0y/NNYykSU5uEhfCnQXA+eRJjGnoqhTow2\nzKm+H3RSBC4fsspYge4EVgGOsQJdgE4uYhO5OWJctAtHEfu+SZvl67y93gKNwqSZQc/Etmty\nsjfnksCkBhZox4HOZVePbBT/+zO7UKClM1mBHomzkFusQBey2wvR6K3cIEc0lG0astMwnFOx\nCMzAwlizaELVw9MTCYt1LZRay0v2FPk9V5K+c3+wAl0BkvNPDCyaRBiqlRMnTtQFMzvUST44\ntwSsQOe2awvfsK1NLNC65q1AF+/ymIX1uabfqxToWcXD4RYTcUMr0Q2DKLtwhNOohs/2l4wR\nGMfL0sQuFOgBfKcXZqytrm5MBKxAxwTW2faXANalZgq0LdD97Zp+lT6z/mFZVqA1TGEFul+9\n0sdyuUdMbmCB1nJzoSaW9bEJLrp7AnN0av09oV12Op7rZn6747y/GASsQBejn4vYyhEuHGWX\nDivQRbwaUJIZfh2eMCYEPAgDFKgtfLVPYzGvCflAD7e8/F33B1uhh6nk9ktJgeaeEKqBOp7n\nSOncUCf64FwSsAKdy251oyAwwgJd5dJRM5RvWoUgMKfsv1jTWNw6FNLQPo01VIrxA0VohAW6\n3HKvRpj/S2C+YjpXx4XvpMlSoHmOeMSqE1gFOMYKdAE6uYhNxLo4VKUwlxBU/bYCXbCLQn6L\nDL+OGJqfNKkU9tcWpYJdD2ouCvSkagWq6rtDG+b/epiPC5dGn0Il3S+4bhS1x/HjQ5HL58FW\noPPZr24VEwWrFOYSj6rfoW+cBpptArxQzW3k71i2StsCne3u7ar2KEJaiXD43KrvVqCHqeT2\ny4LJkyePeKFu11pZoMvJftAVEgX+tAJd4M7PedNbKdC2QOe88+ubh7I0u+rhN7wbi9IYTwoa\nxlGkL4OyJFZZneUPX2m/FegKifx+LpwyZcpwh3faTN1DuF9ogYFFnZ7j4/JLwAp0fvu26C0b\n4gFZw6DqtxXoGjL5/8HoQ8OYr7JKOyxV/vu/QQunaluV0hwQ1k7Xgu4N0xoc7005IkA/L0OB\nrplU3EnzUJ4VuWMzx+7YyfE+Jt8ErEDnu38L2zpudLZAF7b3RzR8Gi9Pg40s0NrGvrkjzvCG\nvBMoKcnVK1OqwSjUmlRqBTrvvR8Ei3Hh6KqVKN46zwp0V/TydZIV6Hz1p1vzDAEr0M+wKPq3\nkoLcyAda21CgPau+eFdIQwUahVrD81agc349MCK1oKwIh27p1KlT5fphBTo0ufydYAU6f33q\nFj1NwC4cvhIqBKRAb29mgeZhKpNSaH/ISub+zCQBRVHYXu3CoVaUfaIdYSGTXdpxpWfy0jwB\nRbjjE6oPnDZtGh4go1dWb/P3YhKwAl3Mfi9Cq1tZoDVM61QcAvNQlLbIx7U+VSnVduOoh5Pv\n39NZunuLfFqrE6HNdJFYga6Gkr/vO6tJ3SrQ5fOW5g+LWxSWwMgnStgcfLwJpJOALdDp7Jd+\n1GouinLDlyYr0P3ojlSUOQNrs9w1ahIuPRqJmFGz0T/yRmBnXqg3V0dgCdNAKdBbt25V7Pgx\nYc7zsfkjYAU6f33qFj1NoNVKhA2VKYPLLQEp0LWmxnJT9RDFMq3rYV5uW++GNSIwA2W5NkwP\nR8kCjVXaC+s0Ipafbctxw+j6GVC2QCuCx5L8IHFLuiFgBbobaj4n9QTwcduKNKvnCMtTswO9\nPRcE5hHvuamPM0qTwlLZhSMXXd1xI2aU3TVqTlBUDvxbvbBODZXc/Vixww47jOu2VZp8WH7p\n3rXbPHxePghYgc5HP7oVIwmMUKCrViLs2vowshhvSTsBFKJFKNBNY76W3TisQKe9I6Ot3yz6\nfcRLVTkqixXoaFmnKjd833dHge5a95HfPFZovXRbgU5VzyZfma4vouSr6hJNIBSBbfUW6Krf\ntkCHQpntg3ngLazydR7RGOLBypfRLhwjyOR3A9fEfK6JEc+/sgI9M78td8swpOyCAt0TCM7X\ny9eKnjLxyZknMOIGkvkWuQEm8DSBVlZmK9AFukp4cWq4jHcFQdm9wwp0BUgBPhmVmI8Lx4iW\nSoFGwVJ8s4Y+8yNO8IasEZir/u1VgZ45cyaG7DFrs9Z41zdaAlago+Xp3EzABFJGgAfmjFYW\naClNPAwXpazark6MBPRSpX6vT2WlWs9FR+Koh5OP36sYfdjWqwI9Y8YMvWjtlg8kbkW3BKxA\nd0vO52WGwMMPP6ybXWbq64pGSmAqytLYRspSpRQp1xxjC3QFSAE+uR/MbPRSVbXNkTjyeR2s\nxmVrEyMQPbWurEBrpMJzJ3oime2TrUBnu/9c++YE0ImejsLxb//2b8Fdd93V/EjvyTOBkiJU\npRiNaGtZgbbf6wgyud0wgXsD3T5xRAPLL1p6254/Yqc35IHAnnPmzBkxeTRsw2TBliWb8/YM\ne66Pzw8BK9D56Uu3pJYA97en3RhlfbYFuhZOgX6VFOhWFmjt4/rQct69maUKBDXjTS2NNjRS\noHXPIJTdFtrnEYmMd3Kj6uOqdcDs2bN7XgBFFuzp06dvoow1jcrxtmIQsAJdjH4uYitHKEMV\nhRoYI/YVEVBB2jyHh+aWVkO2ZeVa98JZBWFS9GaWrMtMHm3IAcValkUr0A3pZHrjaFYQXDFr\nVjT/5liyFUt670wTceV7ImAFuid8PjnFBEYT7L6melUKdO2OmqP8I2cEZmNRHGrVpirrtOP/\ntgKVn30LtJRzs5cqfGT1gr0gP811S8oEVuK6MzYqBRpL9gDX0P6mW1wCViSK2/d5b/noKoW5\n1Naq377u8977z7RvVpWC/MzWqm/lyAtymLcCXcUlx18XYn1uGuaSRTLG8vK9U47bX9Sm7cfL\n9CZekCJp/9y5cwMs2ovJTO5fTgUkYEWigJ1ehCajLI+pUphLTa763bMPXBEY5qSNs1utQqg2\n6rrAIim/12jGdnMCLsfNWMRyzE2ffVKwUKCX5rj9RW3afvPmzWva72GhVFmy9wl7ro/PB4HI\nLqZ84HArckRAVqSa5lT97nkWdk3G/pFmAnPwaW3b31ihZZG0BTrNPRld3XZCgZb/asMk32iG\n+hc23OmNmSXAXIiDUaDb3gs6bSAv3ZWJhPt1eo6PyxeBWg0jX21za4pNYLDex7Hq99hioylO\n6+nzeSjHNavK3XbbbcEDDzxQAwE3Dx3jUHY1VPL5A0VqGQp008ZpH0PzGo3w87EppcztmDA0\nNLQbCnSkFZ8/f/44RrAOjjRTZ5YZAr5BZKarXNGQBGyBDgksj4fzcJtT7wN90003BbfeemtN\nc7FSa+KYXThqqOTzByELF7dToGm53Lxshc7PJbAvTRktv+Uo04IFCwa4xxwUZZ7OKzsErEBn\np69c0xAEGIIdV2VxLp1Z9Xt8iKx8aIYJcB3MLE8SbNkKlGwN7VqBbkkpFzvHokDP6ECB1qTS\nJblosRshAgey+MnGsWOjHXzEAq0Y8lr2fakxF4+AFeji9XlRWjyeodqatlb9nlCzwz9yS4CH\n27QOFeiAFyyvPpfbK2G4YYquMUCkjeEN9V/0os01s5ntirDglAMCWIkPW7hwYeSGExZTCVDK\nda3YCp2D6yRsE6xAhyXm4zNBAMujFehM9FSslRzDdTCpEwVax/CQ9STCWLsjFZnvTD9va7aI\nSqWGKNiyQO9c+e3PTBOQm8UG3C1q5kJE1SIUc+lRh0WVn/PJDgEr0NnpK9c0BAEp0FUuG6Uz\nuYlKSVK0BVugQ7DM8KGlSYGdKtBcMxqKdco3gWUoz5uqIvI0bC3D/Rrr36XhTm/MGoE9GYma\njKIbS70XLVo0hmfNUbFk7kxTTcAKdKq7x5XrlgDK0LhG/m64cUiBjiaSfreV83lJEQilQPOQ\nnZ5UxVxO3wgsY9hdE0ZbpmnTpg1wr1jV8iDvzAqBQ4ntvbHdqEO3jZFiTtQWuQbZBaxbiBk9\nzwp0RjvO1W5JYBJ7BxSnsz6xbRvbmsewqj/Bv7NMIJQCzUvXRBpb6zif5da77iMIMAK1smxd\nHrGvegMKtCaH2YWjGkpGv9PnR++0007Rzh6sYjFz5kwtxCQ/6COqNvtrAQhYgS5AJxewiSUF\nuZEFmm3ybbQCXYyLYiZWxC3thuuFosrNw7Ggc3xtcC2slHLcLpUVaLn0+F7RDla692u04bAd\nd9wxNl1HroHl/O3Gke5rIfLaxXZRRV5TZ2gCnRMoTbFvYoFWLs2n4Hdeho9MP4FZvDDJZadt\nsgLdFlEeDhjAqrwYC3TbtlQds2vbg31Amgnso5El/JRjrSMK9Bhezo6LtRBnnjoCVqBT1yWu\nUAQESr6sVUrRcJbE+5VFov0TdPgMf8kwgVkskKIRh7apfK3oWEfiaEsrswcsRpkarFKOmzZk\n3LhxCk+2iQNWND3IO7JA4Cj6e1P9YkpRV1wKOi9nWuZwedR5O7/0ErACnd6+cc26JzADa8DW\nqrjPwzmhKMnH1dEWhonk+osU6LYTxkRAbh6MWGzhqxdTye8lsVJReFotolLddBQvvVBZga6G\nkrHvRMc4acmSJZHHf67HoJcy7jUb2X5M/T7/zi8BK9D57dsit2xGWRkawQBLhGKCzhmxwxvy\nSGB2eYXBjtqG1VHuHrZAd0QrkwfJ/3mzfFY7SUwOG8exu3dyrI9JJYHJRMfYD/eKRCq3ePHi\nsVwvJyRSmAtJBQEr0KnoBlciYgJavrnh0L2GZrFKWIGOGHgas6OfF2EV6kxbogGEudKxvjbS\n2JnR1GnVrFmzRoTmeeyxx4L77rtvRAkzZswYxcjEXiN2eENWCBymkSUWUEmkvijQ0qeOQBzJ\nJxHi/S/ECnT/+8A1iJ7AnGaKk3zh8IOcG32RzjFtBLAGzec66LhaKNB68Pna6JhYtg7EpWsf\nrMojlJtf/epXwfXXXz+iMQpPhgVzMTtGKN0jDvaGNBI4DuV5WyNXvjgqKz9oni3jyPvAOPJ3\nnukjYAU6fX3iGvVOYC7KUMOHnoLpM9nDocp6Z5z6HOjn2WEUaI4dg9KdjLkq9fTyV0GU4RVY\nlTtuWPlYKdy7dHySD0wNAUagTsH/Obb4z/UN1UTkOXPmaB7F8fX7/DufBKxA57NfC90qbpw7\noig3nDxWtkBroRVZCpzyS0Ahy3YIo0Dr5YprRyuKOeWPwI5YByeGUaB1PZQXyLAfdPauh114\nYVqEW0WiNd95553HYfF+dqKFurC+EbAC3Tf0LjguAlgRFzZTnKq2K+SQU34JyJd5NEv4dtxC\nKUwoWV6Ot2NimTpwT/xhhzpZRKW6VbhxaOXSPau3+XsmCBzPvX5jJyELo2wNKx4GQ0NDK8nT\nI1lRgk1pXlagU9oxrlb3BLA8LmimOJW3a4JhMlOzu2+Gz+yNwEKdLqW406RjsVopCkfHEw87\nzdvH9Z3AXihTHa1KWV1ThuTH80K+d/U2f08/AblvLF26NPFRRq6XgInqih/uRVXSf5n0XEMr\n0D0jdAYpIzCooftmCjQ3Vi2QsJk6x7s0VcqgFLA6i+jrLfR1x00vXzPyeXUou46pZeNAlOC1\nKDehFSqidihGuBXobHRzpZYTeQZswP858RdhrrOAcjWX4lmVyvgzvwSsQOe3b4vaMlkeB1ot\nloCipGFZW6DzfYUs4RoYCtPEqmtmSZjzfGz6CaAE74syHPp5V47EocgsXr00/d1cqeERKLCj\n416+u1JY/ScKtObfaEGVhhPZ64/37+wSCH1DyW5TXfOCENCske2thu7xg5SVMdnZJQWBn6Jm\nLpk6dWrDiaTN6ihrdXnS2JJmx3h7JglMwjVnp9mzww8sSIFGGdML99pMtryYlT6B8HUNV6JN\nAof8oEla/fCgJMpzGf0jYAW6f+xdcjwElhJpY5NcNZql6dOnD7JfEz2cckoApWc5L0qd+2+U\nOaB0azXCJTnFUtRmraHho+SOETYphjDXkXxa7cYRFl6fjufe/myiYYT+34+qulqsqxzOzqsS\nRgU1pfkUXYGWFVJDLbrBTkhpH7la4QgsQ0FueQZKkvY7tmtLStneyZD9bu2ug0Yt5Bw9eH1t\nNIKT3W17456zMYw/fHVT586dO04uINXb/D21BFYx2jAfN4q+VlATGFHkT+1rJVx47ATyrkBf\nAMErkXrleA+2/QS5A/kW8r/IPcjrkeamS3Y6pZ7ALihBLScLKZQVN1mFGcr79Z/6zoqpgooB\nvVM3CjRxgkdjddT9wSk/BPZFCe7aIok1cYARjQPygyPXLTmeOS4bdY/vZ1L8aZ4xy6lDyZ+j\nn3Vx2fERyLsCsT/onotU3zw1eewHiCwKP0U+gXweeQJ5H/LXiFNGCaD87E64qpazr8uKlfyg\nl2S0ma52awI7Ec95sBsFWuegfNsC3ZpvpvZiCdwwb968rg0jKN9ShqQI9VcryxT1/lSWvu5L\n+Lr61spdiJUJ5frjVQnr4eTod94V6EZdJSVZN8KLkf2QC5FzkF0RWatfjRyFOGWPwCgedMva\nBc9XtAWGZBWhYbfsNdE17oDAavVv2VWng8OfOUTXDgq01nuWOGWfwGTuCUsUn7fbJGUIC7Ri\nx9uNo1uIyZynvl6P+0ZLA0oyVQkC/LAHuW4czi4p4H0op4gK9IFwvgH5SB3vP/P7fOQh5Ii6\nff6ZDQKLsTyOa7dcLze1AEvjFpq0KhvNci1DEthDi2aon8Om8rWjqAt24wgLL53Hl5TebiJw\nVJqjiYRcT7ImyuDilF4CR/DiHBCBIxU1xI1D+pV0ieoR8FTUzZWIhkARFWjNIPtFE3xPsf0W\nZPcm+7053QR24wa6tRPLI+GpdFOzAp3u/uy2dnthNWzpB98sYylLjFBIWbIC3QxStrbvx8vy\nJsIT9lTr+fPna0VCGV+c0kvgOGI/b9P/cBrSjjuWlhrQfcjXTRo6JIY6FFGB/h84Nns4zmSf\nrAz3xMDaWcZPYE8elps7sTyiQGuymC1K8fdJ4iXgB7kOi2PX9zaG+6VtOe5v4j0XfYHcCw7G\nIjm+15zxoSYrK9C9cozzfP7vn0UM5tRYexXOjvuQRjqPjbPdzrt/BLp+yPSvyl2VLJeNzyGv\nQX6EaFjvZKQ6aZKI3Dr0D/j96h3+ng0CWJ/3RvnpyPKoIV385XalZekwV2QDcRZq2bPPK5PG\neLcasyELjXUdWxOQ0ov1OLwvT122KNDyjZeBxQsw1bFJyc9l3M8XKfpFmhJ+0OO4l9TrGmmq\nouvSA4G8K9DfgM1XEFmUzkE+iFyGqN3VPtAn8vtW5GxECvbnEaeMEeBhuX+nlkdNDFKkBpro\niYQZ6+c21d1H+/WC1G3ShLOhoaHlnD+x2zx8XioILJbSK+W316ToLLiByJq4vte8fH4sBI5h\nAa2N7SaQx1Jyi0zlxsG9RM+Y7m9ILfL3rv4SyLsC/e/gPQ1Zimh1jcOQv0D+GfkvpJIU4kj+\nz/+AHI1oxrVTtghoud4dO1WctNQ3Q2zydfVQfbb6uV1t1/Xq81qO2CCr5d7tCvP+VBNYL6VX\nym+viZfzAEVczwUr0L3CjOF8+udYrM8aPU5V0r0EC7QiPh2Rqoq5MpEQyLsCXQ3pUX7INeMK\n5FzkxUglXc0XDc9dgCgah1P2CJQsj7Isd5oYqpeSZD/oToFl4DgepIctXLiwJ59XrViHJWsj\nzbUbRwb6vEUVN+C+oRB0LQ7pfBe+1GNRho7s/AwfmRABLXRzJNbe1OkzigpSnkwow5xTzgik\n7oLrE19ZnzU855RdAgfI8hhmuV4ernogHpbdJrvmdQR4jpYmjfWsMTGbfzyTkmw1qgOcpZ9S\ndnmZkptWJEnKeHk4fnIkGTqTqAjsjavO5LKiGlWekeVDvQa5l3hBlciIpicjK9Dp6QvXpAcC\nKE4bws62l28kD8SVFNuTxbKHavvUaAms5kE6JYo4sOQxirwUfsr3yGj7KKncpvK/vauU3qiS\n7hfcZ5TdAVHl6XwiIXAYoUs3TpyYzikLvIxrwvoCWpquGY6RoC92Jn441Pb/y/n5c+TC2s2h\nfy3ljCcRWbU7kb8PXYJPqCHAgy30bHst0UuS/7uisjhln8AR+LZv1EqTvSYsl5pkqidyyTWo\n1/x8fuIE1nNP2F72Z4+kcCzaAS5im8nMrj2REI0mE6y7RxO+rqPoS9GUGC4XLc7EyKium8PC\nnemj007AIbxqe0ga1Z5ISbOq3RXq1+0cfQLS6fChhncUYs+pOwK7aLZ9WGtT2dd108MPP3wI\nxV7XXdE+Ky0EeJCesGTJkkgmEsmapdXnuDaOoX0/SUsbXY+OCRyK8rwFpVcvyJElufb86U9/\nOgqL4tsjy9QZ9UJggHv/QfRLz25bvVSi3bnUb+C22247jOM+3e5Y788OASvQtX31MX5+Gbmv\ndnPoX5qt/f0QZ+0c4lgfOpLAoePHj9+ED3RoKwSWi/GPPfbY0TwQLx+ZrbdkiMAgD9JD6M/I\nRtVQxnVtnMi18Z4McXBVIcDL1DH4nkbumqWRiRtvvFETj/WiJquiU38JrGGkaFIUbltxNgMF\nesydd96pF684i3HeCROI7GGTcL3jKk6K801Irwp0XPVzvo0JHMHDsquXQT0QUbzk09jpaEHj\nGnhrvwloWH0cD6rI6oEyLt9FKUtTI8vUGSVBYAL9tlccSpVGucrx49cl0RCX0ZbAQZMnT06t\n/3Ol9rpuuCZ1c+p1dLuSpT9TQCDvCvRSGO+VAs6uQowECBV0NIpTV0O1esjyQJTl2uHsYuyj\nBLI+mUleW7R8blRJ1wYuABpNOi6qPJ1PIgQOxP95IKxLVyc10/WFT6vixx/ayfE+Jl4C3PsP\nxggSidtWnDWdOXOmRkU0H+qgOMtx3skSyLsCfRk4b0Q+gaT+nyzZrs9NabtjQZ7VbQgjXD80\nMUgPxGNzQ6SADeHhdMayZcui055hSJ4BizOM4iF9SgGRZrnJh7Og0mYWUYmlDXL74trw/SIW\nuqEzPZQX3dTrMYoHzQv+NlpnBTp0F6f3hNRfeBGhexn5XI94Rn1EQFOUzXFEXdhIGKOuqyRf\nVytJXeNLw4mrNTy6887RTyVYunSpXIOehXTlIpQGOEWrA8rtcVJy42q33IR4ad+f/CN9YYur\nvjnOdwH9MEfhBbOQGBEZx4iWJqw75YRAkRToneiz/0Y+iizLSf8Vvhk8LE9GcerpQYaVUQ/E\nPYDZ+TKGhSefKgBnaOXAadOmRV4pXq4q4eyOiDxzZxgHgcm8TK2J0he+vpJlty+9UK2v3+ff\niRJYx/1/SGHispAUNpVrU1G+/DKehQ7roI5FUaC/CIvdkf+HvAL5LfIN5ESkKAxoau7SFG5I\n6zXM3kvLdGNjuFfToz0s2wvIPp3L6MELdt1111gsjvJ5xT1IQ69n9al5LjYcgYO12EmcVkmF\nv5SLCNXyS1W4von66HX0w5D6OwtJzxnm28iVVLqIUw4IFEl5VGSNU5HnIbcgxyNfQ6RMvwk5\nCpmPOGWHwPFYILb3am2SfxqWxgFuxKdnp+muaZnAKkYPli1fvjw2ILvssssg18gZFGDLUWyU\nI8v4KJTnIS16Emcq+0Er1r9Tnwhw7z8It4hYXpzjaJJiy0+YMGEjeXvCehyA+5BnkRToCt4r\n+bIKORj5DCKlWXFer0b+iDyEyGfaKeUEUGpOR/EdxY2055oyAU2ZKNpCT+4gPVfEGYQl8Dwt\neIKEPa/j4/GDluVoEifo+nBKMQEU5xMZkYr9f1iTluUqAoruJ1+kmGMWqsb/5Bos0Fmo6nAd\nebnTc2bv4Q3+kmkCRVSgKx12HV9ehEiBPg+5Avk28mfElmggpDwNcgM9EcU3ElOT/KCxQGt4\n7aiUt9vVe4aAImScu2rVqlgVJrlx4Ge/netD9wun9BKYMzQ0tGu3EXnCNEsh8rj2tnPOYWHO\n87GREdiJkaepWVOgWR1zkJe89ZFRcEZ9JVBkBboC/lG+/BPyF4h8YHdE3oU4pZuAFN3xWKAj\nqaVCXpV9XZ8TSYbOJAkCB/MQnYv/c+xlrVy5Ui9qJyO2OMZOu+sCjuT/eAglpesMOj1Ro15M\nJpRvvF+4O4UW7XFr6YMhVp+NNteYc5PCz8jFbhTT+7BpzHV19u0JWIFuzEg3Rqd0E3geVuNt\nmtATVUIRGyz7Qcdq0Yyqvs4nOBf/96FJk+RdEW/SCEU5rrBfsOJF3Uvux/ISzL9wMpPKuCbG\nosQpxKFT8gT2IvpGZiYQVvCw5kBlImH8b/2VQv0ZG4G8K9AXQE4WI1mZnfJDYDwPydNWrFgR\n6UoJiiNMvlKeNcHUKd0EptBXZ69evTq6N6gW7ZXFESu0JhMqio9TCgnQN/J/1khBIqnsB72E\nwhQi1SlBAvzvr2WkIXOGDpYd14u4IrgobKpTxgnkXYHWjNfHM95Hrv5IAifxsByMyn2jkr2s\n2WUl+vmVbf5MLYGzeBANaIJfUgllfRQuI2spz2GokoLeeTk9rUjaeTHPHClrIiuZbmLLsc9s\n9bckCHD/35vlsZMZaoi4QdRbI9x7Rpyts+sDgbwr0H1A6iLjJoD14VwmD1aG1CMtDqu2LFga\nlo1+VY5Ia1rszHiAvnK33XYblGU4qcSDT/F/pTCdn1SZLqdjAsdi3etpRdKOS6o6UBZv7kce\nsapiksDXCfgRL9ILTBYT9xCNoOpF3CnjBKxAZ7wDC1j9uUTfOBblKZahWlm1y76uZxeQbVaa\nvDeW4DW777574haoPffccxzK+0sANTErsIpQT16kTmI0IvEhfRTo0ShDR8M4uTe5InRo6zau\nZPdAVlYgrG+KXsS5h9gCXQ8mg7+tQGew0wpe5RcQkH6o18VTmjHkxhYQFk2+rhc2O8bb+07g\nIiIgbI4z9nOzFrKoSoCyJr/r5zY7xtsTJzCRF6qDUGYTf6GSHzRlaxbrAYm3urgFria05Cbc\nZzJJQIo/FvQFVH5CJhvgSg8TsAI9jMJfskAAxfYCfFHHYfWJrbpYt+XrqkUSVsdWiDPulsB0\n+v4cLMGJTB6sr6RWuOP60wuWwl46pYPA4VwTAwsXLky8NqwsV3HrsRtHcvRXy4qb1VS2nEv3\n2i2rbXC9nyYQVoFW0MUTkdchn0Z+ityD3IR8C3kHsg8Sn3ZD5k6FJbABxXYZCm6sAKp8XS+I\ntSBn3g2B87WwSZKTB+sruccee+gFSy9XB9Xv8+++EDiOEYmtcS/f3axluH2Np+xTmu339mgJ\n8LK0J/7PibvrRNUKWc5lQSc/rYjslGECnSrQS2jjFchdyNeQv0JeiOgCUB4KyXIM8jZESvUt\nyMmIkwlERgCr38U77bTT0NSpikwYb9prr71k5T6PUuzrGi/qMLmP5hp4zZo1a+SHHOa8SI+d\nNm1agLuAYtBeGmnGzqwrAlwLp6LE9mVEQhXmWghYAVEvVHO7aoBPCkWA/t6zH+5boSrZ5mCs\n0FrF0gp0G05p393uKaQ4u29BpBC/FJGV+QWI1nLXIvRSLnTTkEazDtG+9yAbkf9ArkYc8gkI\nTj0TmIPV7zSG7nVNxp6WL18eYFVSWc+LvTAX0CmBZ3PgbFwoOj0+tuPWrl2rpeRldXQM4Ngo\nd5TxrtwXFkqJ7VeaO3duQAjMLZR/XL/qUKByx8t/OKsTCCv9hAVdkTgcC7oCJKOfrRRoDZH8\nBJHi/CpECvPpyGeR/0UeRCrpcb7oWO2Twr0XciIiq8CNyJsQJxPohcD5rDi3NakHpX1de+mq\neM5l8t4bWMxkQH6n/U6axMoywlKadG906h+BE7gvbOynRRJFSFZoReNQ+EuneAmsIPvMRuCo\noNELgCzpld/+zCaBVgq0woT9K6IL9h+QJ5Ew6RscfChyMPJUmBN9rAnUEShN2iq7VdTtiu8n\n1m75usrh+pD4SnHOHRI4EMvTPlh+W92zOswqmsP23Xdfufm8gtymRZOjcwlLgJeqU/oRvq6+\nnizAJAX6WLbruekUH4FVWPs3p+Elupcm6oVPsazJQ4ZKp4wSaPUwksL8XkTuGL2k6zn5b3vJ\nwOcWnsBzeDjtkPTQvXyteTDK11WTZp36SIA+eCN+rkP9tDTWN18h7ZgQpHvoBfX7/DsRApNR\nQjZwXfR90jpzMxTOTi6NBybS8uIWsgrr7basN78cRUT3jhVZb0uR699KgW7GZQd2LEHU8QuR\nSYiTCcRGgKGuN6A8Dyj6QtJp7733lq/r8ZS7POmyXd4wgRX0wQn77LNPIv7vw6W2+YL1M8Ai\nrgmNf8mhfZvE1qaaed59FOyDuGLChwGnyApz5syRS49cF51iIsCL9F7yH446eyaBBg8//HBJ\nnnjiiYD7zfDvRx99NOriAlnQZUknY08kjJxuchl2Oty0liq9EjkZkS90fbqNDd9B5P/8QP1O\n/zaBHggchmVnFZEXunnZ66HYp0+dP3++4rxueeCBB17DFg3XOyVP4A1M1NpCXyT/BtWmrayG\nGNxwww3TuEZfyKGfbHO4d0dL4CQWMtmuF5k0pGXLlo176KGHTsMq/vo01CePdeCFaU0cMaCv\nv/764Oc//3kNss997nPDv08//fRAz4Iokyzp9957ryYSfiHKfJ1XcgQ6UUreRnV+hmj5Wvky\nX498HWb39K4AAEAASURBVJF/9FXIDYiGrl6G3IycgziZQCQEsDi8lQfTtiRC1zWrMJZP+brq\n+p/T7Bhvj43AjuT8gv322y91yrNajBUp4OVOPvpv5Wc6NDlVLP9pFMxPwcUqNaMSmuCM8qyR\nqv6FBMl3v0+E78I4FGhZoFuldvtbndtsHyMWisQh46RTRgm0U6DPpF1aHEWKshZI0Y1BPl4n\nIWcjGtreH1mAaMLg7Yhe23SMkwn0SmAtQ2mHM1mr05GSXstreD4KfDB58uTt7PTqcw0Jxbrx\nL/F7HsLPNdZCesmcya06XfdA3S+dkiGwFqv/rDRdF7gWaGheC2To+egUPYHVZDkQhwIdfVXb\n56h2yKLe/kgfkVYC7RRoxV2Ve4Y+ZYVulqRcXIscgyiknYYznUygJwKyPjNEuwUXip7y6fVk\n6hHIAsrnq8jLERd6Bdr5+XNhfsG6detSaX2uNEP+jLhy8CwceDvb+j6hrVKvnH+exBD4Rl5s\nU9VMXrbH4lJyaqoqlZ/K7MX/2sZ+zIWJA6EUaCzq8gvxMyUOwAnk2U6B3pM6yGVDb9WdpIc5\nSMt6a3Khkwn0QkATx07B+pyKyVkrVqxQxAVZwjUXwCkZApdOmTJluxa1SXtisukA16sqKmOD\nU8wEiNN+BuHrIp9M1mu1cSlR6MtDyGdSr3n5/BEE9p43b15u3KQ0YkHahtiNY0RXZ2NDOwX6\nHpoh141O/cx24Fgp3bcgTibQNQFZ87hZDi1cmI53MU1UkhWaemmCULrMXl1TTvWJs7A+X7z/\n/vvL8p/qiqpysoQSKUZ+ue9KfWWzX8F5+KTujrKaupbofsX1qgv26NRVLuMV4qVpPX7Dneoi\nqW+tFutiMSYZJ6VjOWWQQDsF+tO0aSXyJUS+zs2SbhhaMEW+0ppQ+FXEyQS6JaDleZ9zwAEH\npML6XGmE4lAzaUzuBBdXtvkzNgKXssLcKMVazkpisqms0LpfekW6eDvtJIbxN6NMxVtKF7lL\nKVJkEE49uYvTfUpzAmNwd1jVb3e+5tXrbg/RhfQ82a+7s31Wvwm0U6CvpIIK33Uk8mPkrvLn\n1/n8PKLP65G7kWuRvZFLkR8iTibQFYGK9TkN8V2rGyArtPxxqd8b2G4rdDWcaL/L+nwJL1Bi\nHW3OMeaGu0mwatUqTQy6PMZiCp8118ZpuG8MPm3oTR8O/KAVlUWuPNm5eNOHsb5Ge/FyOhaF\ns357pn8zyjrAc2VDphtR4Mq3+wfXm/TfIpVYhbI0yxJ9AqIoHPqUy8aTyAeRpcgViJMJdEtg\nBdbns9Jmfa40RgoSVmj5XtoKXYES/edrsT4P7LrrrtHnHHOO+OyP5kGv5d9PibmoomY/gYYf\niftGu2dX3/goMgj3sOlUYF3fKpG/gg/ETWqjJuzmKaFAayKh/BTn5aldRWlLpzchReJ4LqKO\n1ozRnRA93XST0GQJjbO+FvkD4mQCXRPAqvQeAtYPpc36XGmQhmjxyx2LhemNbNP/glO0BGZn\n0fpcQVC2QssXWlZoGRycoiVwFNfHAG4S0eYaYW4TJ07U4kvybbUbR0Rc+X86GP/ysRFll5ps\nFIkDC/QWKrQ+NZVyRTom0KkCXZ3hY/yQovxb5FFEPjxSpkcjTibQCwEN05124IEHpvpGKSs0\nETlUR700OkVL4PVYmkZl0fpcwcBkU/lCr+D3aZVt/oyMwCnyMR4cHIwswzgywo1jPIrRmXHk\nXdA8D12wYEE3+kqqcfFiEGCFViQOzSFzyhiBTi/InWnXhcipSMX3cz7f/x15EPk1IsX6PUi6\n72xU0CmdBLAsvW+nnXYainrJ1KhbK1/o9evXKzqE/P1nR51/gfObB9OLxVYPlqwmReQgLrSs\n0O+lDdltSPo6AKQDJf/n9FWttkaKEMLQvMIaLqvd419dEJBb35y0jkp20Z6aU3ghHMfIptxh\nnTJGoJOb+6tpk1w4PoZ8GfkFIqXhQ8jpiNbA/CYia/SbkM8iTiYQlsCBWO2ORXnKxAuY4kIz\nXK//nzeHbaiPb0rgzSzZvj1LkTeatQRfaF0bMjyc1ewYbw9NYH/5FqcxfF19SzQ0jx//Rrbb\nF74eTvjfR+IWs3HatHx6zMkdibCMGsVPX1iZ8H1VqDPaKdDHQUOTA/8PuQSRxW0qch3yHOT1\niJaw1dvTUuRfEG0/FnEygY4JYNX9IAtmbM1KmCJZSA866CBZoV9BIxd33FAf2IzAjrC8APed\nTMR9btaIynaUp4AlvkdznVzONru3VcD09vlsQtdtlo9xFhL3s3F24+i9p7gvHLd48eJUu/X1\n0kqFY8QCLUPkkb3k43OTJ9BOgZbLxpPI/siHkb9BXoLobUkh7aRcP4Uo6W37AkQuHccjTibQ\nKYETGe5cR+SNMZ2ekIbj8HMMWE1qG0rSu9JQn4zX4e0szbxNTPOSWJ2QZ/8oTbx+UV7a1M92\n8H92lpTSftYhTNlcy6N0X+Mcu3mFAVd7rPr7KBTodrpK7VkZ+sU9IqB9cvl6Voaq7apCoN1F\nKcX5KkRKdCV9my9Slr+GbK1sLH9Kmb4F2aVuu3+aQDMC3DcGPoDP6HZWZWp2TGq3ywrNsPLz\nqODuqa1k+iu2nCq+SNbn9Fe18xoq5BZKtGICv5uzcmtB65xIT0eu4v9sMfGfe8okyZM1l4OQ\nl7IsOhpH9+CP4NSxzI3pPocMnMl1LeORFOhMGZEygDbWKrZToB+mdCnR1cf9md9vQW5G6pM0\noP2QP9bv8G8TaELg+byBLydywegm+1O9WRNbkCHa8NeprmiKKycFkwUStmKFSXEtu6vamjVr\nFKZqJme/rLscfFaZwKn4wG7M0ku2LItYocfQ/3JrdOqOwLO5v27lRaS7szNylmKHMwdIvkmH\nZKTKriYEqhXjRkC+xUYF3JTrxryqA+S6IZeO6qTJX5cjsiL9V/UOfzeBJgQUbeGv1q5dO1o+\no1lNGzZsGKsJkNTfN7/wnbg7lsUz0x66MHyznj6DJacDJhQqbvjb2ZIN591uGxvjefiIns3k\nUi1glKmEAj3A9X04lZ6SqYqno7KaQ3AGDPOtPcNa9wlGLLbwVYEZnDJCoJ0CrUgbP0M0gfAO\nZAekUVKn34W8HPku8gXEyQTaEbiIB+MM+Yq2OzDN+/GDDohbvJWbvf5fnEIQwEr3XlnwWSQh\nxFnZOnTPPfcMiFssBeqibNU8NbVdTJSC3VGkUlOhTiuiCAtYoHX4iZ2e4+OGCRyBYWJ6Fvt9\nuAUhvqxcuVIGJbkD2o0jBLd+HtpOgZav8wbkPchNiFw6GiWZD/WWKKv0Cch2xMkEWhGYzs3i\nMq3ql4fhOU2A5Ga/Jw22BaFVr9fu2w9mJxK6MNcWJi36UV69Uq5vU2sR+FcHBM5QSLisROip\nbo+UZy07zoviWdXb/b0jAi/A93lr3pbvbtZyvShwP5zMfo1mOmWAQDsFWk3QxEDd+DWbuFn6\nN3bMQmSpltLtZALtCLyRcFRjmTzY7rhM7Cd+cYClkXeCAbk32YLQQa+hXLwf5WII/+cOjs72\nIatXr66sXnlptluSfO35nzqHEZ7MuW9USOF6IhO0IlPZhacCpf3nBF46zsAqm4l1Ado3p/0R\ncuPAF1pRnRy1pz2uVBzRiQLdrKIT2LEHsj8iJTuzNzjq7pQsAcX8/QtFsCgPbyZbekylMRFS\noYgUF/2lMRWRp2wPJcTXoVjuC/GA1HVOWxXj+i/pRBkbnDojsAgf4rWEr+vs6BQepQgS3Bek\nRGt01qkzAmfj3jcmC4vmdNaczo5atWrVIFboZ3P0zM7O8FH9JNCNAq14Ml9EFNpObh0fQJQ+\ni7wb0SRCJxNoReDdrNS1PcsPxUaNGz9+fIASXQlbpqE4pyYEZH2W37hWbCtKwpoWsMy37rmv\nL0qbI2jnmYxUbc7yKAV6oNw4Al6ezo6ARyGy4IXjVbvttpt06EK0t9JIRSLiObKN3y+ubPNn\negmEVaDn0xRNKjwTuQW5E6kkTQR7M/I/iK3RFSr+rCegUYvnE7kiFyvO1TeO1ec0o1pzAjxU\nXw/nmd/HY33eF7/gQj0dUQoC/L113b8KFLqXOrUhALMXrFixIvNGGV4Wda2fhOje4NSawFpG\nHdbssccemZ5c3rqJjffqHoEroCYTXswRhWt/Yyrp3RpWgdYkQbluHIysQqRMV9LpfNFkw9WI\nfXgqVPxZQwDl4a+Zmb5V8ZPzmGQxKStJsjLOyWMbe20TD4e/wrq0nbi+vWaVufPxhw1otyZZ\na16JU2sCO8t9A+Wz9VEZ2CvLIqMuet6enIHq9ruKryKk2+YddmgW9Kvf1Yu3fNw4NJlQ4YM9\nmTBe1D3nHlaBPpISP4pc16BkrUr4DuRR5IAG+73JBA7mxnAMvs+59nvVUP2UKVP0v/VWd/kI\nAqdyDaxat26dfEILl3iBDMorLr6Mxssdzqk5gbNweclk9I36JskHntXmFI3j+fX7/LuGgEZm\nnk9o01xH5qlpcd0PrYmAe+N2rpk31u3yz5QRCKNAT6XueiX8dYs2KBD4/5WPa3GYdxWRADeE\nv5Hfq+Im5zlpGK7sonIh7dw5z20N2TZNsnwfkVdG8YIR8tT8HK7lqPkfkMHhsvy0KvqWcK28\nmJGK3LgD4ooyWgYESBXTtNrZJfIqIhptJRpFZ0fn9Kh99tlnNG5uWphrbU6bmItmhVGgH6PF\n9yL7tWi5lGy5cMg/2skEqgmcouFYxUuu3pjX71KSiFurkESX57WNXbRLSxovZWW+MPedLopJ\n/yly86GWcnVbmv7a9qWGe3C/WJEH940KPS2qQsx7TRDTHCKnkQSmcL+8iPtDLufHjGxu8y0y\nMuHmuBkeb2h+lPf0m0DYB9k3qfD5yEVIfZSB6Wz7DCLHxqsRJxOoEOA+MPB+WR4VL7koSUt8\nowRIadTEyaInXQPvYWJQppdtj6oT5RM7Z86cIZi8Pao8c5bP81EiNuXJD5a+DhTXmJG483LW\nV1E15yJeMAax1EeVX6bz4UVCz48zaISBpLQnwyrQr6Edf0T+DrkbORBZinwVuRU5Bfln5BrE\nyQQqBJ7Ll8JZHhcsWBBgdRrC7/G9FRAF/nwuHBYzNOmZ5eWLQFZoHpBauneXAl8XjZquly25\nb8hKn6uEcjiKoXktSrYkVw3rvTGyPr+BuRG5WhugFyyaaD9v3jy/ZPcCMeZzwyrQj1CfvZFP\nIPJNm4to4QgpzkqvQmShdjKBCoEx3Bjfu2bNmkJaHlGSxuL3qAUU9NAsapJC9C7CM40mpm9R\nGYxot4b0iW+sB6R9oWvpHM7/zCxFLMlbUjxr/P830S5PJqzt3IuxPo/Xip1OzxDA5bEyimkr\n9DNYUvMtrAKtij+IaHKUnoTLkIOQhYhWRJBlWpNjnEygQuA8FIR5zKoupOWRYXotojDEsO37\nK0AK+Cnr845FvQZa9Xf5AakRmvxpi60a3mIf94vzWb1va15ftnBlG08bXwaCQt4TG3T9dHjI\n+jyW+2SD3cXdJCs0If00ivnu4lJIb8u7UaArrZGifBvyI+R+RG9IviEAwWmYwFhujO9AcRrU\nKn1FTShJg+UZ1RsKyIBL4Gnr84QJCiHvVE3AVuhqGqXv07A+n4YlcnDEnpxskI8vrjsyOinK\nghMrc3JvGGvrc+NLgbCXGsXUOhv7ND7CW/tFoBsFWh0pF45KehZfHkIUeeNu5HjEyQRE4FyU\np5lana/ISctVL1u2bCvWlfcUkMNZtLnv1uff/e53wS9/+cuSPPHEE8H9998//Pvuu3Xb6l+q\nskIv718tUlPy2YODg4EmWeY1Eds6wMI+RPtektc2hmjXAqyrr1FsdFufG1PDAl0Zxfxg4yO8\ntV8EwirQz6ai/468EJG1WRE3/gWZgnwb0TKln0fk2uFUbAKyPr9d1meWti42CVqvZauxQh/M\nV0lRkuI+v0ORN/ppfR4aGgquuuqq4Nprrw1+8IMfBI888kjwhz/8ofT9+9//fvDd7363r/0h\nKzSuPluoxJv7WpEUFM718nImDypSRQpqE18VWG1uLIqjwtkVJyxRY5zvmjFjxvY8hSts3Mze\ntjKXRqOYenYc3VtOPjtKAmEVaE12uR3ZH9mOaPKglOgPIMciCvqt31K0nYpN4FwegjOZPFhs\nCuXW85DQ6lKyQhfJl+00mr+0377PDH+WeoFh84CHUOm7tum7Piv7y13Vlw9esPSW+QJkcV8q\nkI5C19BHeyncZTqqE18tmBcRYGnX8/d58ZWS+pz3oIYvZmXawsd9btdTen7wYrmdF8wPc2xY\nva1d9t7fJYEwHaFjVyKyMN9ULu+E8ueXyp/yib4ZUaQOp+ISGM0/+ltQngeZWV1cCnUt32+/\n/SpW6EJE5OAaeCeWtlFamtapNQG5LODqo2H9Ii+ccCFhu3IV+7lZr8vCLj9v/kcubnZM3rfD\n4MOaLIrkvamRtA8r9GhGLTS6/5JIMnQmPRMIo0DLTUMzwe4tl6oxtmOQPyE/KW/Th46x1lQF\npIBfz+IffR5hywrY9OZNli80ipJmVL+t+VG52XM8lt0VxH0Oc4/JTeO7aYhi4HJtnMe587o5\nP+PnTKbtL8TdpzD+XrK0Y3GXUUojukVLJzICdMjBBx88WLSGd9teRaXBCKOXrveRh/Qxpz4T\nCPNwe5S6Slmu+HDKF2cH5CpkG6IkF46dEVminYpJQH6vl/Fw6Kvfa1rR6waIYqmRm1wHPMW6\ndJn8Gol5m9auSF29tPw7vORv8prUVS7+Cp2DS8No3JziLyklJUybNi1YuHChfN9fkZIqJVUN\nKYEf5hkR5GmlySTgySWSiFYa0ntTEuW5jNYEwijQyumziCY+fK/8XTf7f0CU3opch0iZ/mfE\nqZgETkRBXLZ27drc+zF2070MUSuu5xYeIHkeqj8Y69I6lqLN90ywbi6AFudggQ3KVuiLOEzG\nicIk/h9eI5cGuTYUKRGhSJMJz6bNMwvU7lfSz4uIPhNW/ygQosZNHTNmTIDVXiNVl3LE0sZH\neWtSBMJewK+nYv+CaMhJirL8t76PKB2KSGl6ESI/aKcCEuDG+HpZHhWqyakxAdwatLqUHprz\nGx+R7a3c3N+MNXWrrUvh+1H/O0Qs0X25SFbJQ/l/2AX3jcK9dC9ZskT9LUPU+eGvlkyeMYv7\nw7u0QmuR1wbopee0QicrWm6H4xW95ONzeycQVoHeSJEvRBRpYy7yUaSSNOyobbJSOxWTwBos\njxuwPhfLjBSyrzVhbOrUqQoHIUtj3tLujEAcw0vCmLw1LIn2YIkNYDeOT1mYNJ8k9wlF4BIU\nya38T+S+rfUNVH9jhVZ/X8K+Itw3L6efB+W+4dQ9gUMPPVSLq5xIDkd2n4vP7JVAWAW6Ut5m\nvuyEKHSdlqE9CrkLeRxxKigBHgKvxadv86xZswpKoLNmozAEhHbTQ1MjOBM7OysbR9Gm18tF\nBQtJNiqcwloSuSRgJEd+ji9OYfWirtIiFIGTUSILO5lM/U2ag5wcNdyU5bcX9XkJyp/ufSmr\nWraqM3v2bIW12wbHv6fmRXjxSmUHdXMV679dbht3IFchVyJXI/ciGlIo3DAcbXYicgDDsGeh\nGDoCSwdXw8qVKwP82RRxQLF/85IWcg08F99nXwM99KhW4mOykBYieiPZdHOP7qH0xE+9mMl0\nQ1pMpqhJiwxpeW9eml6XZwa076OMvjlsXUSdrLB23CN2JrsLIsrS2YQkEPbmrLvc9cghiJTn\n9yKvRz6C/AF5FfJJJGy+nOKUcQLnE+/XN8cOO1GTQcpxYP+iw1OycNirpAzJRcWpNwL4AyuD\nhcgpveWU6rMnoQC8Qi4rqa5lApXjhWk07m/7U9Q+CRTXjyJO4+X6AIetiw69wtqxAJMimkgP\nK9Sk4+go9pZTWEVXFmb55cll43hEoVTej2goeiUin+jzkAMRp+IQ0JvwRfLlk3uCU2cENGmK\nh8oKjj6oszNSfZTi+L7SylA0faSHI1bJUVjtZIXOa3oxL5JjNXGy6Ekx4hctWqToPK/NIQuN\nplzB82Fg+vTpOWxe/5qktRa4V+gF9LL+1aK4JYdVoA8F1SeQaxogUzxLWdMeQA5DnIpD4CSa\nOqvsy1ecVvfYUk2aYhWuIR4uegHNenoJq04OaijaKRoCuEMNYJXcl9zyuHIll/3A61Cqxmo0\nxolFFNauVXQehYnVyEOe0sX08Rxi4Nu6EnGv8oIdHHLIITJcvZKsl0WcvbNrQyCMAq3IGzOQ\nX7bIU0vR/hrxUt4tIOVtF//EF2kBBIclCt+zWKG1sMppnKn/rawmKUOvld+ubuhO0RBQGEB8\ng2WVVESOvKVn06CFZVeVvLWtq/ZoSWu5QHFynty6ZqDcvZ2Yz2PHjZOh1ClqAlqAiUnb2+D8\ngajzdn6tCYRRoB8lK8maFllq8tBuyO0tjvGufBFYiJXsCPx5rTl10a/yF+bBopjqz+vi9LSc\n8ixeAuY7NFX03VG2Sp5OzrmySvJS8GaiCGj4OXpoGc0RBShgAq6sia+gCXmJ6XcZawI4bF3M\n1yS+5Qprp/kSB8VclLOvIhBGgdZpmjj4UkRD9vVJvtEfQ2Yi363f6d+5JfAibpBbCF+X2wbG\n2TAUiQDXF4V1ujDOcuLMG6vza8sLgMRZTCHzVnQKXH1kldQQbV7Swbgq8G7gePH1Har/I16o\nZYy4oH5fBn8r1O0rNmzY4LB1MXeewoYyCryVe7Gt0DGzrs4+rAKtiBtPIP8P+QHyYeQdyKeQ\n3yLnIf+OfA1xKgABFL+XYXn02FwPfS1LHAqFwkOu7SGbfp26uxfPiQ+9rJIomlJAZJXMxf8Z\nbXrjzjvvPOQJZSOvG7lAlWPEK6Rd1sNBvoM1AbYuW7ZsZEO9JXICuMmM4V6s+RLHRZ65M2xI\nIKwCfSe57I7IEr0B0eSntyHnIvLh1Pc8xbWlOU4tCKxH8dtJMY2duicgX9c5c+ZsIocXdp9L\n3868COvHJi+eEx9//X+hQMvX4az4Skks59UMNR9HtJbCLpzSjrRcoehvzTnK8rN0BfV/4YEH\nHpiLl752fZaG/XohxRiznWvn/dTHEzYT6JSwCrSqdDeiEHZTkP0QuXOsRqRAvwvZiDgVg8A5\nrDq3GReOYrQ2xlZy45OVUQ/Mbv4nY6xZy6ynYU18EZMH/ZBsiam3nVpYBTefMVwfr+ktp/6f\nTRveqJUq582b1//KpLQGRLMJCE+m/n4zVczS/WCYKHV/B/08pImRTskRWLdu3WheUDWamfdV\nLZOD2qKkbv85jyTPuchPka8jjyD/iGi7UzEIKPbz87COWXmKoL8VxYQb3w5kdXgE2SWVxQt5\n2A9oFrhTvATKMcP3pBSFtctq2okRq7O9UmX77uOlVBZEaZ+KVpK1tDP9fCbKXNZdULLGPZgy\nZYqs0KN4NjsudAK9F1aBXkCd/hP5DrJ/Vf30BJX1TNvfWbXdX/NL4CgUvqlp9G974okngm9+\n85vB1772tZIMDQ0FP/nJT4Z/33bbbanrFS3ny0IKmiz2vNRVrkmFuElfjGLn0HVN+ES5WW4+\nCxYs2EKemZ1sSt3/knZ4pcoOLgxFJykrQm/r4PC0HfI6XLq2FHl59n52CO5RA7zA7EUdDutn\nPYpQdlgF+oNAkfvGR5BvVwG6ju/HID9A3op4JUIg5DydxfDctjTGfn744YeDW2+9NbjjjjtK\non647777hn/feeedqewaFiHRil1nULksrCxxEDfp5V48J7lLSS8ruMzoBSuLIc5mU/eXYZX0\niFWHl4wW0uF/bA8Oz9LI7hz6+TwWTXE/d9jPUR9GLHFF5NjGhFTpYk4xEgjzoNaQkuIMfgXR\n5MH6dDUbfon8ATkb+RHilE8C8s87nX9STwSKsH+JTCA3jklkeQRS/YIaYSnRZEX/v5zQhVsI\nseZh2miQts1FrjL4Qw9s3rxZSvTH2p6QrgMumTRp0na5KqUh/eIXvwjuv//+UlUeeOCB4M9/\n/nNwzTXXlH7LKHDQQQf1vZpShHbZZZdtjJi9jegKT1eu77VqW4HzsZ5vt1tXW06xHkDknjG/\n+93v5A64C/LbWAsrcOZhLNCaNDgBafWPfA/75RftmQNAyHE6FEVvshQ+p+gIaKUulFK5ccgK\nneY0lf4/g2gBVp4T7CWFOMPiP8jLS9bcOKZglbxEVkk+EyTWvKgbb7wxuPnmm0vy4IMPlhTo\nyu///d//DbZs2dL85AT3MByv0GQHU6Qm7Kc9cWkOvJIJkKnp5zDAlixZEnz84x8P7rrrruDx\nxx8P9JJ16aWXZnKFXcWFnjlz5mbaf0EYBj42HIEwCvRjZP0bpNVKhLJILkVuRZzyS+BMKXpp\ndN/IOnIsThU3jjD/m0k3+ywsoaP0wHFKlgAK9CiG9TWZcPdkS+6ptAt5ORx0uMvwDBUektVK\nh3jxeGv4sxM/4xherOfiu514wb0WiGtR8H//93/BueeeKyNGoMhSCid4+eWXBzfccEPA6Emv\nRSR+vl5keKE5n4LtThMT/bAPaa0w+FLkuQ3qo1hmn0BmI5pM6JRPAprhexqTB219jKF/NfSJ\ngjSdrNfHkH0kWdL/F/KQHJRF1ClZAjNmzAhmz56tmOHnJVty16XpIf46LKnjfL10x5CoJYMo\npidxdqoD7qPkv4z71/asLc8u5fjv/u7vAk3kVgjB6qTfWh3ykksuqd6cie8YYwL6RPHjHdI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N86O8p1sCYRRo+cGuRb6KNLN0XMU+3ck3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\nNoO0JPcqaVa+ARnPJ0hnu7vlLqnu31JUiK41a2zbkTpBwL3P+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eFGDdQar7jQI2ZmX0Y9YO0zcNeIB3NAHAR+rBegVYqTHK3Tahya1yjD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\nRK5CYII=",
      "text/plain": [
       "Plot with title “”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 360,
       "width": 360
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "vioplot(log2(glucose30)~sex*pgm,data=cr$pheno)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "No difference by cross direction, but let us check by doing linear regression."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "lm(formula = (glucose30) ~ sex * pgm, data = cr$pheno)\n",
       "\n",
       "Residuals:\n",
       "    Min      1Q  Median      3Q     Max \n",
       "-63.267 -19.480  -7.509  12.669 151.411 \n",
       "\n",
       "Coefficients:\n",
       "            Estimate Std. Error t value Pr(>|t|)    \n",
       "(Intercept)  124.556      2.972  41.914  < 2e-16 ***\n",
       "sex           13.554      4.024   3.369 0.000817 ***\n",
       "pgm            1.021      4.184   0.244 0.807302    \n",
       "sex:pgm        7.163      5.707   1.255 0.210082    \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Residual standard error: 31.17 on 476 degrees of freedom\n",
       "  (6 observations deleted due to missingness)\n",
       "Multiple R-squared:  0.07779,\tAdjusted R-squared:  0.07198 \n",
       "F-statistic: 13.38 on 3 and 476 DF,  p-value: 2.12e-08\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "summary(lm((glucose30)~sex*pgm,data=cr$pheno))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Intuition confirmed by linear regression analysis."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Genome scan\n",
    "\n",
    "- Null (H0): Pheno ~ error\n",
    "- Alt (H1): Pheno ~ QTL + error\n",
    "\n",
    "Compare models for every candidate QTL location (marker/pseudomarker) using a likelihood ratio test.\n",
    "\n",
    "Genomewide significance established using permutation tests."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message in checkcovar(cross, pheno.col, addcovar, intcovar, perm.strata, :\n",
      "“Dropping 6 individuals with missing phenotypes.\n",
      "”\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " -Running permutations via a cluster of 4 nodes.\n"
     ]
    }
   ],
   "source": [
    "cr <- calc.genoprob(cr,step=2)\n",
    "outglucose30 <- scanone(cr,pheno.col=log2(cr$pheno$glucose30),method=\"hk\")\n",
    "outglucose30Perm <- scanone(cr,pheno.col=log2(cr$pheno$glucose30),\n",
    "                            method=\"hk\",n.perm=1024,n.cluster=4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LOD thresholds (1024 permutations)\n",
       "     lod\n",
       "5%  3.65\n",
       "10% 3.26"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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AgQIECAAAECBAjcKCCAdSOPLwkQIECA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97WTKMshrQIHsZAyYpKQIXCWwlABW7gzj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\nAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 360,
       "width": 600
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "options(repr.plot.width=10, repr.plot.height=6)\n",
    "summary(outglucose30Perm)\n",
    "plot(outglucose30)\n",
    "add.threshold(outglucose30,perms = outglucose30Perm,alpha = 0.05)\n",
    "add.threshold(outglucose30,perms = outglucose30Perm,alpha = 0.1, lty=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Genome scan with sex as additive covariate\n",
    "\n",
    "- Null (H0): Pheno ~ sex + error\n",
    "- Alt (H1): Pheno ~ QTL + sex + error\n",
    "\n",
    "Note that:\n",
    "- Null model allows for sex to contribute to phenotype (`addcovar` option)\n",
    "- Alternative has both contributing\n",
    "- Permutations stratified by sex (`perm.strata` option)\n",
    "\n",
    "We use Haley-Knott method for speed, but EM or imputation method could also be used."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message in checkcovar(cross, pheno.col, addcovar, intcovar, perm.strata, :\n",
      "“Dropping 6 individuals with missing phenotypes.\n",
      "”\n",
      "Warning message in scanone(cr, addcovar = cr$pheno$sex, pheno.col = log2(cr$pheno$glucose30), :\n",
      "“Dropped 1 additive covariates on X chromosome.”\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " -Running permutations via a cluster of 4 nodes.\n"
     ]
    }
   ],
   "source": [
    "outglucose30Sex <- scanone(cr,addcovar=cr$pheno$sex,\n",
    "                           pheno.col=log2(cr$pheno$glucose30),method=\"hk\")\n",
    "outglucose30SexPerm <- scanone(cr,addcovar=cr$pheno$sex,\n",
    "                               perm.strata=cr$pheno$sex,\n",
    "                               pheno.col=log2(cr$pheno$glucose30),method=\"hk\",n.perm=1024,n.cluster=4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LOD thresholds (1024 permutations)\n",
       "     lod\n",
       "5%  3.60\n",
       "10% 3.26"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "LOD thresholds (1024 permutations)\n",
       "     lod\n",
       "5%  3.65\n",
       "10% 3.26"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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6Gu79NGReO63hhSf01blAgww3yBtz42y170J6Nl/r48vF2ej+/JM39VXkUAgSUE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\nEpDovvykzmPPj2vc09WaE0HHOSWlKzzNurK5qy0Q/B4HbJL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6mppsr8LfAzt63y6rwhoNc4C7BfZNK5/sriUOLClvsiuSE86Psgv3RrSl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\nsTRatJJyfgCOEcKYcR7XfMXTX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lpk4S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\nZurW/oq1iEkAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 360,
       "width": 600
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(outglucose30,outglucose30Sex)\n",
    "summary(outglucose30SexPerm)\n",
    "summary(outglucose30Perm)\n",
    "add.threshold(outglucose30,perms = outglucose30SexPerm,alpha = 0.05)\n",
    "add.threshold(outglucose30,perms = outglucose30SexPerm,alpha = 0.1, lty=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The thresholds do not change much, but the LOD scores in the sex-adjusted scan (in blue), are bigger, on average, than the unadjusted scans (in black)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Genome scan with sex as interactive covariate\n",
    "\n",
    "- Do we want to find QTL allowing for effect modification by sex?  Compare the models:\n",
    "  * Null (H0): Pheno ~ sex + error\n",
    "  * Alt (H1): Pheno ~ QTL + sex + QTL*sex + error\n",
    "- Do we want to search for deviations from additive effects (sex and QTL)? Compare the models:\n",
    "  * Null (H0): Pheno ~ QTL + sex + error\n",
    "  * Alt (H1): Pheno ~ QTL + sex + QTL*sex + error\n",
    "- A third possibility is to not perform a scan, but test for interaction only at selected loci.  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Genome scan using an interactive model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message in checkcovar(cross, pheno.col, addcovar, intcovar, perm.strata, :\n",
      "“Dropping 6 individuals with missing phenotypes.\n",
      "”\n",
      "Warning message in checkcovar(cross, pheno.col, addcovar, intcovar, perm.strata, :\n",
      "“addcovar forced to contain all columns of intcovar\n",
      "”\n",
      "Warning message in scanone(cr, intcovar = cr$pheno$sex, pheno.col = log2(cr$pheno$glucose30), :\n",
      "“Dropped 1 additive covariates on X chromosome.”\n",
      "Warning message in scanone(cr, intcovar = cr$pheno$sex, pheno.col = log2(cr$pheno$glucose30), :\n",
      "“Dropped 1 interactive covariates on X chromosome.”\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " -Running permutations via a cluster of 4 nodes.\n"
     ]
    }
   ],
   "source": [
    "outglucose30SexInt <- scanone(cr,intcovar=cr$pheno$sex,\n",
    "                              pheno.col=log2(cr$pheno$glucose30),method=\"hk\")\n",
    "outglucose30SexIntPerm <- scanone(cr,intcovar=cr$pheno$sex,\n",
    "                                  perm.strata=cr$pheno$sex,\n",
    "                               pheno.col=log2(cr$pheno$glucose30),method=\"hk\",n.perm=1024,n.cluster=4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LOD thresholds (1024 permutations)\n",
       "     lod\n",
       "5%  4.76\n",
       "10% 4.36"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "summary(outglucose30SexIntPerm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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wgRjAUu+qttQIYLXp8BkC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\nnsD/B7B25mjAH/tTAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 360,
       "width": 600
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(outglucose30SexInt)\n",
    "add.threshold(outglucose30SexInt,perms = outglucose30SexIntPerm,alpha = 0.05)\n",
    "add.threshold(outglucose30SexInt,perms = outglucose30SexIntPerm,alpha = 0.10,lty=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Genome scan for deviation from additivity\n",
    "\n",
    "We have to set the seed before running permutations, so that the permutation threshold is properly calculated."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " -Running permutations via a cluster of 4 nodes.\n",
      " -Running permutations via a cluster of 4 nodes.\n"
     ]
    }
   ],
   "source": [
    "set.seed(20200911)\n",
    "outglucose30SexPerm <- scanone(cr,addcovar=cr$pheno$sex,perm.strata=cr$pheno$sex,\n",
    "                               pheno.col=log2(cr$pheno$glucose30),n.perm=1024,\n",
    "                               method=\"hk\",n.cluster=4)\n",
    "set.seed(20200911)\n",
    "outglucose30SexIntPerm <- scanone(cr,intcovar=cr$pheno$sex,perm.strata=cr$pheno$sex,\n",
    "                               pheno.col=log2(cr$pheno$glucose30),n.perm=1024,\n",
    "                               method=\"hk\",n.cluster=4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LOD thresholds (1024 permutations)\n",
       "     lod\n",
       "5%  2.11\n",
       "10% 1.76"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "outglucose30SexIntPermDiff <- outglucose30SexIntPerm - outglucose30SexPerm\n",
    "summary(outglucose30SexIntPermDiff)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ga3OQIECBAgQIAAAQIECBAgsHGBTfXA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i19z3xHh+p2PccFdgjgDWtW4hzN/TqGn+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\noh8PVu8JEAAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 360,
       "width": 600
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(outglucose30SexInt-outglucose30Sex)\n",
    "add.threshold(outglucose30SexInt-outglucose30Sex,perms=outglucose30SexIntPermDiff,alpha=0.05)\n",
    "add.threshold(outglucose30SexInt-outglucose30Sex,perms=outglucose30SexIntPermDiff,alpha=0.10,lty=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Proper handling of the X chromosome\n",
    "\n",
    "- Examine structure of segregation\n",
    "- Evaluate consequences\n",
    "- Examples\n",
    "\n",
    "See Broman (2006) for details."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## X chromosome -- intercross\n",
    "\n",
    "![X-F2](images/x-f2.png)\n",
    "\n",
    "Credit: Karl Broman"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## X chromosome -- backcross\n",
    "\n",
    "![X-BC](images/x-bc.png)\n",
    "\n",
    "Credit: Karl Broman"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## X chromosome\n",
    "\n",
    "Males are hemizygous; males pass on their X chromosome intact,\n",
    "\n",
    "Genetic structure of X depends on cross direction and sex.\n",
    "\n",
    "Consider $(A{\\times}B) \\times (A {\\times}B)$ cross where trait has sex\n",
    "difference but no genetic effect on X chromosome.\n",
    "\n",
    "\n",
    "                        Genotype\n",
    "                     AA    AB    BB\n",
    "    Males            20          20\n",
    "    Females          10    10\n",
    "    Both             15    10    20\n",
    "\n",
    "One will see an apparent X chromosome effect when there is none, if we\n",
    "don't stratify results by sex."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Solutions\n",
    "\n",
    "- Cross direction and sex are needed.\n",
    "- Rethink null hypothesis; formulate using sex/direction strata\n",
    "- LOD score degrees of freedom change (1 or 2 for\n",
    "  backcross; 1, 2, or 3 for F$_2$ intercross).\n",
    "- Significance thresholds change due to df and recombination\n",
    "  density.  Choose $1-\\alpha_X = (1-\\alpha)^{(L_X/L)}$\n",
    "- Permutations need to be reconsidered.\n",
    "\n",
    "Recall fundamental principle: We permute individuals \n",
    "_exchangeable under the null hypothesis._\n",
    "\n",
    "For X chromosome, that implies that we should permute within sex, and\n",
    "cross direction.  In practice, it is computationally simpler to\n",
    "permute the segregating chromosome across individuals."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message in checkcovar(cross, pheno.col, addcovar, intcovar, perm.strata, :\n",
      "“Dropping 6 individuals with missing phenotypes.\n",
      "”\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " -Running permutations via a cluster of 4 nodes.\n"
     ]
    }
   ],
   "source": [
    "outglucose30 <- scanone(cr,pheno.col=log2(cr$pheno$glucose30),method=\"hk\")\n",
    "outglucose30PermXsp <- scanone(cr,perm.Xsp=TRUE,\n",
    "                               pheno.col=log2(cr$pheno$glucose30),\n",
    "                               method=\"hk\",n.perm=1024,n.cluster=4)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LOD thresholds (1024 permutations)\n",
       "     lod\n",
       "5%  3.65\n",
       "10% 3.26"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "Autosome LOD thresholds (1024 permutations)\n",
       "     lod\n",
       "5%  3.55\n",
       "10% 3.20\n",
       "\n",
       "X chromosome LOD thresholds (22568 permutations)\n",
       "     lod\n",
       "5%  4.22\n",
       "10% 3.83"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "summary(outglucose30Perm)\n",
    "summary(outglucose30PermXsp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ghgre+6P1cWP6ik16x/2dKGBHIE1u0N1UlVCBAgQIAAAQIECBAgQIAAgR4FBLB6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n22cAyzrk1lFv8m0JJ7DcWB9A6F4q6kojcrbh62DHayPYrCxK4QRWUcv16xGwaQLA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\nAQQQKLUAHVil3j1UDgEEEEAAAQQQQAABBBBAAAEEEECADix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RtKIPRUyS6271sbBIXdp9rMpblx8JxceQbZM4Gt8vmuefE7arJK+zyvx5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\nrkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 360,
       "width": 600
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(outglucose30,ylim=c(0,5))\n",
    "add.threshold(outglucose30,perms = outglucose30PermXsp,alpha = 0.05)\n",
    "add.threshold(outglucose30,perms = outglucose30PermXsp,alpha = 0.1, lty=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Considerations for recombinant inbred lines\n",
    "\n",
    "- RI lines have the same degree of freedom for tests on the X chromosome (both homozygous genomes are possible).\n",
    "- The genetic structure of the X chromosome is different: the alleles have a 3:1 ratio of the two parents, the recombination density is lower than autosomes.\n",
    "- We may want to track the origin of the mitochondrial genome in the population; common RI lines (BXD for mouse and HXB for rats) have both possible mitochondrial genomes represented.\n",
    "- If animals of both sexes are available traits can be analyzed as multivariate traits (one trait for each sex) or as sum and difference."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Random effects model for RI lines"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Consider the following model for the trait mean in males and females:\n",
    "\n",
    "$$y_{iM} = \\mu_M + \\alpha_i + \\beta_M q_i + \\epsilon_{iM}$$\n",
    "$$y_{iF} = \\mu_F + \\alpha_i + \\beta_F q_i + \\epsilon_{iF}$$\n",
    "\n",
    "Here $\\alpha_i$ is a shared random effect per line; the $\\beta$'s are QTL effects in males and females separately.  If we take the difference and the sum, we get:\n",
    "\n",
    "$$y_{iF} - y_{iM} = (\\mu_F - \\mu_M) + (\\beta_M - \\beta_F) q_i + (\\epsilon_{iF} - \\epsilon_{iM})$$\n",
    "$$y_{iF} + y_{iM} = (\\mu_F + \\mu_M) + (\\beta_M + \\beta_F) q_i + (\\epsilon_{iF} + \\epsilon_{iM})$$\n",
    "\n",
    "These are both of the form:\n",
    "$$y_{iF} - y_{iM} = \\mu^* + (\\beta_M - \\beta_F) q_i + \\epsilon^*_{i}$$\n",
    "$$y_{iF} + y_{iM} = \\mu^\\dagger + (\\beta_M + \\beta_F) q_i + \\epsilon^\\dagger_{iF}$$\n",
    "\n",
    "Can be analyzed using standard methods.  QTL in the difference are interpreted as sex-QTL interactions; the QTLs in the sum are interpreted as QTL main effects.  \n",
    "\n",
    "See Lowry (2013), for similar analysis in a GxE context."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Other considerations\n",
    "\n",
    "Pseudoautosomal region: Complicated. See Dupuis and Van Eerdewegh (2000). Inheritance probability depends on location in the pseudoautosomal region.\n",
    "\n",
    "T Manolio on improving diversity in genomic research: \"And while we’re at it, let’s look at the X chromosome.\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Summary\n",
    "\n",
    "- Sex is both a phenotype and an independent (perhaps manipulable) cause\n",
    "- Design: Useful to have enough animals of both sexes to study sex effects\n",
    "- Design: Record cross direction/sex in data collection\n",
    "- Analysis: Consider causal structure of trait to make analytic choices\n",
    "- Analysis: Use tools apropriate for proper handling of X chromosome loci "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# References\n",
    "\n",
    "- Broman et. al. (2006) The X chromosome in quantitative trait locus mapping. Genetics. 2006 Dec;174(4):2151-8. \n",
    "- Solberg Woods LC, Ahmadiyeh N, Baum A, Shimomura K, Li Q, Steiner DF, Turek FW, Takahashi JS, Churchill GA, Redei EE. Identification of genetic loci involved in diabetes using a rat model of depression. Mamm Genome. 2009 Aug;20(8):486-97.\n",
    "- Dupuis J and Van Eerdewegh P (2000). Multipoint Linkage Analysis of the Pseudoautosomal Regions, Using Affected Sibling Pairs, Am J Hum Genet. 2000 Aug; 67(2): 462–475.\n",
    "- Manolio TA (2019) Using the Data We Have: Improving Diversity in Genomic Research. Am J Hum Genet. 2019 Aug 1;105(2):233-236.\n",
    "- Greenland S, Pearl J, Robins JM. Causal diagrams for epidemiologic research. Epidemiology. 1999 Jan 1:37-48.\n",
    "- Lowry DB, Logan TL, Santuari L, Hardtke CS, Richards JH, DeRose-Wilson LJ, McKay JK, Sen S, Juenger TE. Expression quantitative trait locus mapping across water availability environments reveals contrasting associations with genomic features in Arabidopsis. Plant Cell. 2013;25 (9) :3266-79."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "R version 4.0.2 (2020-06-22)\n",
       "Platform: x86_64-apple-darwin17.0 (64-bit)\n",
       "Running under: macOS Catalina 10.15.6\n",
       "\n",
       "Matrix products: default\n",
       "BLAS:   /Library/Frameworks/R.framework/Versions/4.0/Resources/lib/libRblas.dylib\n",
       "LAPACK: /Library/Frameworks/R.framework/Versions/4.0/Resources/lib/libRlapack.dylib\n",
       "\n",
       "Random number generation:\n",
       " RNG:     L'Ecuyer-CMRG \n",
       " Normal:  Inversion \n",
       " Sample:  Rejection \n",
       " \n",
       "locale:\n",
       "[1] en_US.UTF-8/en_US.UTF-8/en_US.UTF-8/C/en_US.UTF-8/en_US.UTF-8\n",
       "\n",
       "attached base packages:\n",
       "[1] stats     graphics  grDevices utils     datasets  methods   base     \n",
       "\n",
       "other attached packages:\n",
       "[1] vioplot_0.3.5 zoo_1.8-8     sm_2.2-5.6    qtl_1.46-2    dagitty_0.3-0\n",
       "\n",
       "loaded via a namespace (and not attached):\n",
       " [1] Rcpp_1.0.5      MASS_7.3-51.6   uuid_0.1-4      lattice_0.20-41\n",
       " [5] rlang_0.4.7     tcltk_4.0.2     tools_4.0.2     parallel_4.0.2 \n",
       " [9] grid_4.0.2      htmltools_0.5.0 ellipsis_0.3.1  digest_0.6.25  \n",
       "[13] lifecycle_0.2.0 crayon_1.3.4    IRdisplay_0.7.0 repr_1.1.0     \n",
       "[17] base64enc_0.1-3 IRkernel_1.1.1  curl_4.3        evaluate_0.14  \n",
       "[21] V8_3.2.0        pbdZMQ_0.3-3    compiler_4.0.2  pillar_1.4.6   \n",
       "[25] boot_1.3-25     jsonlite_1.7.0 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sessionInfo()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Acknowledgements\n",
    "\n",
    "- Support from NIDA P30 (L Saba, RW Williams)\n",
    "- Comments/questions from Rob Williams, Karl Broman"
   ]
  }
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