diff --git a/Lecture-9-SNPHeritability.ipynb b/Lecture-10-SNPHeritability.ipynb similarity index 100% rename from Lecture-9-SNPHeritability.ipynb rename to Lecture-10-SNPHeritability.ipynb diff --git a/Lecture-10-BroadSenseHeritability.ipynb b/Lecture-11-BroadSenseHeritability.ipynb similarity index 100% rename from Lecture-10-BroadSenseHeritability.ipynb rename to Lecture-11-BroadSenseHeritability.ipynb diff --git a/Lecture-7-DataPreprocessing1.ipynb b/Lecture-7-DataPreprocessing1.ipynb new file mode 100644 index 0000000..d5e27c0 --- /dev/null +++ b/Lecture-7-DataPreprocessing1.ipynb @@ -0,0 +1,943 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Introduction\n", + "\n", + "The first step in any analysis is to review the data that will be analyzed. Large datasets typically contain missing data, data errors (e.g. due to an error during measurement or data entry), or entries that violate statistical assumptions (so-called outliers). \n", + "\n", + "To put that another way, during data review you need to assess whether the data need to be cleaned *before* analysis (e.g. review the metadata, including the collection date, mass, or other covarites), and whether the data follow traditional statistical assumptions, including normality.\n", + "\n", + "In this notebook, we will review data preprocessing steps that are common in bioinformatics. To do so, we will use the statistical computing environment *R*.\n", + "\n", + "### Download the test data\n", + "\n", + "To practice data preprocessing techniques, let's use [publicly available](http://www.pnas.org/content/112/13/4032) glucosinolate data. The formatted data can be downloaded here:\n", + "\n", + "curl https://raw.githubusercontent.com/timeu/gwas-lecture/master/data/cmeyer_glucs2015/bmeyer_etal.txt --create-dirs --output data/cmeyer_glucs2015/bmeyer_etal.txt\n", + "\n", + "### Check the file format\n", + "\n", + "Before importing data, it is always important to review the file format. Is it a text file? Is it an hdf5 file? Does to need to be transposed?\n", + "\n", + "- If it is a text file:\n", + " - What delimiter was used to make the file? \n", + " - What character set was used? (see the command *iconv*)\n", + " - What carriage return was used? (see the command *dos2unix*)\n", + " - Are there spaces or unexpected characters in the header? (see vim/emacs)\n", + " - Are there quotes or comment characters that will interrupt the import?\n", + "\n", + "- If it is an hdf5 file:\n", + " - What are the keys?\n", + " \n", + "### Load the glucosinolate data" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "# rm(list=ls());\n", + "# open the glucosinolate file in R\n", + "\n", + "glucosinolateFileName <- \"data/cmeyer_glucs2015/bmeyer_etal.txt\"; \n", + "glucs <- read.table(glucosinolateFileName, header=T, sep=\"\\t\", as.is=T, stringsAsFactors=FALSE); \n", + "glucs <- glucs[order(glucs[,\"accession_id\"]),];" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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  1. 'glucosinolateFileName'
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accession_idsample_weightG2PG3BG3HPG4PG2H3BG4HBG2H4PG3MTPG6MTHG5MSPG7MTHG6MSHG8MTOG7MSHG3BOPG8MSOG4BOBG5BOP
8921 27.0 1391.3143 103708.84 35.89132 5248.4694 25310.19 0.000000 656.2984 0 3611.0269 32.32934 2951.46171 96.03157 8243.8638 2142.1924 0.00000 23523.2381424.3284 0.00000
16921 22.1 7734.5149 69932.37 0.00000 2500.7568 24289.34 0.000000 390.3385 0 116.8998 56.07342 0.00000 247.84098 0.0000 1401.495767.66343 27462.9231789.0852 920.67350
6832 15.2 8267.7205 144750.06 202.10448 5545.6431 78817.75 7.136438 1966.7867 0 411.9168 76.65779 0.000001016.59783 0.000011407.0228 0.00000 102816.7608169.7092 3357.24848
8702 29.9 1411.4871 27739.70 0.00000 116.5999 24817.58 0.000000 435.3465 0 2256.3011 0.00000 46.88039 0.00000 577.0562 389.6314 0.00000 7644.041 284.5212 0.00000
8872 31.0 1055.4795 82117.61 88.72688 2589.5366 29056.36 32.245193 1213.7386 0 8806.8255 227.51344 3107.01884 428.9574218943.1403 2913.7202 0.00000 36178.0232610.6636 61.77065
9732 30.9 967.1328 38721.42 0.00000 880.6843 17378.24 34.532081 391.1320 0 2292.2790 0.00000 810.27345 93.65825 2614.6889 970.8893 0.00000 9763.230 493.1664 0.00000
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The two commands\n", + "# cat and print can be used to add user feedback. As an example:\n", + "cat(\"There are: \", nrow(glucs), \" rows and \", sep=\"\");\n", + "cat( ncol(glucs), \" columns in the dataset.\\n\", sep=\"\");\n", + "cat(\"There are:\", length(which(is.na(glucs))), \"missing data (i.e. NAs).\\n\");\n", + "\n", + "# the newline character is '\\n' " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Quality control in *nix?\n", + "If the numbers do not match your expectation, open the file in vi/emacs or another text editor... and look for special characters or quotes/comments that may have interrupted the import.\n", + "\n", + "You're probably familiar with some of the more common errors. For example, if the number of columns doesn't match the number of column names, *R* will return an error. However, this is a 'nice' error, because it forces you to look at the data in more detail. The scariest errors are the errors that escape your attention. It's thus very important to review your data (e.g. what happens if you concatenate 2 data files?)." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "# or alternatively:\n", + "# command <- paste0( \"head \", glucosinolateFileName );\n", + "# print( system( command, wait=T, intern=T ));" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### What is the phenotype?\n", + "\n", + "The glucosinolate data were generated with the plant genetic model species *Arabidopsis thaliana*\n", + "\n", + "One of the main reasons geneticists use *A. thaliana* is because it is self compatible, which means that inbred lines can be created through self pollination. In *A. thaliana*, these inbred lines were created by placing each plant's flowers in bags to minimize cross pollination among individuals.\n", + "\n", + "The seeds from these inbred lines can then be used as replicates in experiments. Replicated inbred lines allow us to estimate the mean phenotype for any given genotype at a much higher precision level than is usually possible in obligate outcrossing species. For GWAS, work with inbred lines improves power - since one can use *fewer* individuals than would be necessary in other species.\n", + "\n", + "But how many replicates are available for each line? And how should we handle these replicates?" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "There are: 595 unique accessions.\n" + ] + }, + { + "data": { + "text/plain": [ + "\n", + " 1 2 4 6 7 8 9 12 23 32 45 \n", + " 2 4 3 4 4 4 4 3 3 5 4 \n", + " 51 60 62 66 69 74 79 80 81 83 84 \n", + " 3 2 5 7 6 3 5 3 4 2 5 \n", + " 85 86 87 88 89 91 94 96 104 106 116 \n", + " 4 3 4 5 3 5 3 6 6 2 2 \n", + " 121 122 126 137 146 148 149 151 153 157 159 \n", + " 5 4 6 4 2 3 3 4 3 3 3 \n", + " 160 163 165 166 167 169 170 173 174 175 178 \n", + " 2 4 6 5 5 2 2 2 4 3 6 \n", + " 179 183 184 185 187 188 190 191 194 196 198 \n", + " 2 6 3 5 4 4 3 4 6 4 5 \n", + " 200 202 203 204 205 206 207 208 210 212 213 \n", + " 3 4 2 2 3 3 3 6 5 4 3 \n", + " 214 215 216 217 219 222 223 224 230 231 236 \n", + " 2 2 3 3 3 4 4 3 2 2 3 \n", + " 252 262 263 267 269 273 282 287 288 295 296 \n", + " 2 2 2 3 2 3 3 2 2 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+ " 7430 7508 7516 7519 7520 7525 8213 8214 8218 8222 8225 \n", + " 4 4 3 2 3 3 2 2 6 3 5 \n", + " 8227 8230 8231 8233 8236 8237 8238 8239 8240 8241 8242 \n", + " 4 5 7 2 2 4 2 3 4 4 6 \n", + " 8247 8249 8256 8258 8259 8265 8266 8271 8275 8283 8284 \n", + " 4 4 8 7 8 3 2 2 4 3 2 \n", + " 8285 8290 8296 8300 8304 8306 8307 8310 8311 8313 8314 \n", + " 3 3 2 3 3 3 4 3 3 3 2 \n", + " 8323 8325 8326 8329 8334 8337 8343 8351 8354 8357 8365 \n", + " 2 3 6 2 3 2 7 3 5 2 4 \n", + " 8374 8376 8378 8386 8387 8388 8389 8395 8412 8420 8422 \n", + " 2 6 3 6 3 3 3 3 3 2 7 \n", + " 8423 8426 8427 8430 9057 9058 9302 9308 9309 9321 9323 \n", + " 5 7 5 2 4 4 3 2 4 3 4 \n", + " 9332 9336 9339 9342 9343 9344 9349 9351 9352 9353 9354 \n", + " 3 7 5 6 7 4 7 6 4 4 2 \n", + " 9355 9356 9363 9367 9369 9371 9378 9380 9381 9382 9383 \n", + " 4 5 4 6 4 4 4 4 5 8 6 \n", + " 9384 9385 9386 9388 9390 9391 9392 9399 9402 9404 9405 \n", + " 7 5 6 6 5 4 3 6 5 6 4 \n", + " 9407 9408 9409 9410 9411 9412 9413 9416 9418 9419 9421 \n", + " 3 5 4 3 5 4 3 5 4 5 6 \n", + " 9427 9433 9434 9436 9437 9442 9450 9451 9452 9453 9454 \n", + " 4 5 7 5 4 3 6 4 5 2 3 \n", + " 9469 9470 9471 9472 9476 9481 9482 9490 9496 9499 9504 \n", + " 2 7 4 2 4 3 5 5 4 3 3 \n", + "100000 \n", + " 5 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "cat(\"There are:\", length(unique(glucs$accession_id)), \"unique accessions.\\n\");\n", + "tableOfAccessionIds <- table(glucs$accession_id);\n", + "tableOfAccessionIds;" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The number of replicates ranges between 2 and 8\n", + "With a mean of: 3.695798 \n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Loading required package: lme4\n", + "Warning message:\n", + "“package ‘lme4’ was built under R version 3.4.4”Loading required package: Matrix\n", + "Loading required package: ggplot2\n", + "Loading required package: gridExtra\n" + ] + } + ], + "source": [ + "# That's hard to read, somewhat better is:\n", + "rangeOfReplicates <- range(tableOfAccessionIds);\n", + "cat(\"The number of replicates ranges between \", rangeOfReplicates[1], \" and \", rangeOfReplicates[2], \"\\n\", sep=\"\");\n", + "cat(\"With a mean of:\", mean(tableOfAccessionIds), \"\\n\");\n", + "\n", + "# if lme4, ggplot2, and gridExtra aren't installed, install them...\n", + "if( !require(\"lme4\" )){ \n", + " install.packages(\"lme4\"); \n", + "}\n", + "\n", + "if( !require(\"ggplot2\" )){ \n", + " install.packages(\"ggplot2\"); \n", + "}\n", + "\n", + "if( !require(\"gridExtra\" )){ \n", + " install.packages(\"gridExtra\"); \n", + "}\n" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Don't know how to automatically pick scale for object of type table. Defaulting to continuous.\n" + ] + }, + { + "data": {}, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "plot without title" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# there's quite a range of replicate counts\n", + "# plot the # of replicates per genotype\n", + "options(repr.plot.width=2.5, repr.plot.height=2.5)\n", + "counts <- table(glucs$accession_id);\n", + "ggplot() + aes(counts) + \n", + " xlab( paste0( \"The number of replicates\" )) + ylab(\"Counts\") +\n", + " geom_bar(stat=\"count\", fill=\"tan1\") + \n", + " geom_vline(aes(xintercept=mean(counts)), linetype=3);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Estimate the mean phenotype per genotype" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
tapply_meanaccession_id
59011339.729409482
591 66.025169490
592 130.626059496
593 594.606699499
594 116.242589504
595 792.81981100000
\n" + ], + "text/latex": [ + "\\begin{tabular}{r|ll}\n", + " & tapply\\_mean & accession\\_id\\\\\n", + "\\hline\n", + "\t590 & 11339.72940 & 9482 \\\\\n", + "\t591 & 66.02516 & 9490 \\\\\n", + "\t592 & 130.62605 & 9496 \\\\\n", + "\t593 & 594.60669 & 9499 \\\\\n", + "\t594 & 116.24258 & 9504 \\\\\n", + "\t595 & 792.81981 & 100000 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | tapply_mean | accession_id | \n", + "|---|---|---|---|---|---|\n", + "| 590 | 11339.72940 | 9482 | \n", + "| 591 | 66.02516 | 9490 | \n", + "| 592 | 130.62605 | 9496 | \n", + "| 593 | 594.60669 | 9499 | \n", + "| 594 | 116.24258 | 9504 | \n", + "| 595 | 792.81981 | 100000 | \n", + "\n", + "\n" + ], + "text/plain": [ + " tapply_mean accession_id\n", + "590 11339.72940 9482 \n", + "591 66.02516 9490 \n", + "592 130.62605 9496 \n", + "593 594.60669 9499 \n", + "594 116.24258 9504 \n", + "595 792.81981 100000 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# tapply offers a fast way to estimate the mean (or any other summary statistic) across a factor\n", + "dataSummary <- stack(with(glucs, tapply(G2P, list(accession_id), mean))); # stack can be used to convert a vector into a 2-col matrix\n", + "colnames(dataSummary) <- c(\"tapply_mean\", \"accession_id\" );\n", + "tail(dataSummary);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
accession_idblup
1 -5271.448
2 -8390.965
4 -8618.790
6 -9610.424
7 -7955.538
8 -9497.424
\n" + ], + "text/latex": [ + "\\begin{tabular}{r|ll}\n", + " accession\\_id & blup\\\\\n", + "\\hline\n", + "\t 1 & -5271.448\\\\\n", + "\t 2 & -8390.965\\\\\n", + "\t 4 & -8618.790\\\\\n", + "\t 6 & -9610.424\\\\\n", + "\t 7 & -7955.538\\\\\n", + "\t 8 & -9497.424\\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "accession_id | blup | \n", + "|---|---|---|---|---|---|\n", + "| 1 | -5271.448 | \n", + "| 2 | -8390.965 | \n", + "| 4 | -8618.790 | \n", + "| 6 | -9610.424 | \n", + "| 7 | -7955.538 | \n", + "| 8 | -9497.424 | \n", + "\n", + "\n" + ], + "text/plain": [ + " accession_id blup \n", + "1 1 -5271.448\n", + "2 2 -8390.965\n", + "3 4 -8618.790\n", + "4 6 -9610.424\n", + "5 7 -7955.538\n", + "6 8 -9497.424" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# another option: use a mixed model to specify a random effect\n", + "require(lme4);\n", + "lmer0 <- lmer( G2P ~ 1 + (1|accession_id), data=glucs );\n", + "blups <- ranef(lmer0)$accession_id; # these are the best-linear unbiased predictors:\n", + "blups <- data.frame( accession_id=rownames(blups), blup=blups[,1], stringsAsFactors=FALSE );\n", + "head(blups);" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
accession_idbluptapply_mean
1 -5271.4476 4562.9146
100000 -10511.2044 792.8198
1026 -8858.4554 102.3605
104 -9552.1414 3157.4517
106 -5942.3350 2967.9322
1061 -523.510516211.3113
\n" + ], + "text/latex": [ + "\\begin{tabular}{r|lll}\n", + " accession\\_id & blup & tapply\\_mean\\\\\n", + "\\hline\n", + "\t 1 & -5271.4476 & 4562.9146 \\\\\n", + "\t 100000 & -10511.2044 & 792.8198 \\\\\n", + "\t 1026 & -8858.4554 & 102.3605 \\\\\n", + "\t 104 & -9552.1414 & 3157.4517 \\\\\n", + "\t 106 & -5942.3350 & 2967.9322 \\\\\n", + "\t 1061 & -523.5105 & 16211.3113 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "accession_id | blup | tapply_mean | \n", + "|---|---|---|---|---|---|\n", + "| 1 | -5271.4476 | 4562.9146 | \n", + "| 100000 | -10511.2044 | 792.8198 | \n", + "| 1026 | -8858.4554 | 102.3605 | \n", + "| 104 | -9552.1414 | 3157.4517 | \n", + "| 106 | -5942.3350 | 2967.9322 | \n", + "| 1061 | -523.5105 | 16211.3113 | \n", + "\n", + "\n" + ], + "text/plain": [ + " accession_id blup tapply_mean\n", + "1 1 -5271.4476 4562.9146 \n", + "2 100000 -10511.2044 792.8198 \n", + "3 1026 -8858.4554 102.3605 \n", + "4 104 -9552.1414 3157.4517 \n", + "5 106 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T/Y0x/yEmJ7uOiii3yar57K2jlDIJ8Q2ChSYEj2PrYrbRNEj3WBgbTomBSsThEU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+ "text/plain": [ + "plot without title" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "both <- merge(blups, dataSummary, by=\"accession_id\" );\n", + "head(both);\n", + "ggplot( both, aes(x=blup, y=tapply_mean)) + geom_point(alpha=0.5, col=\"cadetblue2\" ); " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The two techniques are similar, but the results aren't perfectly correlated. Why? (one approach: identify the outlier accessions)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Checking model assumptions/normality for a phenotype" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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b3Hte4cRRG/HhLM17j+Zd5SmfCDnTXpYSpL9n9yzgzYHGPODSEEVu9Z4VLvu0no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+ "text/plain": [ + "plot without title" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# count data are often non-normal, there are various ways \n", + "# to investigate normality, including Normal Q-Q plots (quantile-quantile) plots\n", + "# here is an example with data sampled from a normal distribution:\n", + "normalData <- rnorm(1e4);\n", + "p1 <- ggplot() + aes(sample=normalData) + stat_qq(col=\"forestgreen\", size=2) + stat_qq_line(col=\"tan1\", size=1.25);\n", + "\n", + "# and the glucosinolate G2P\n", + "p2 <- ggplot( glucs, aes(sample=G2P)) + stat_qq(col=\"firebrick1\", size=2) + stat_qq_line(col=\"cadetblue2\", size=1.25);\n", + "\n", + "options(repr.plot.width=4, repr.plot.height=2.5)\n", + "grid.arrange(p1, p2, ncol = 2);" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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ESa+3Kt4c+1UgJ3CEK6ffv2tolQPyUIK1Q4pTIXApFqwJiZ+RFed911CiHMD/aI\nI44w2bAsnyNGjFC//PKL6t27tzl14YUXqmuvvVYddthhRmgjQG6//fasAVu2Lvlch8BPP/1k\nvmy66abrThbgSARwAUAt4SoHDhxoIs+PPPJIo7k6WcXPzYoFYigOOuggNXnyZHXppZeaP5Yf\npqNcKyVYy06MAYl5BgwYoMhvvtdee6lTTz21ihvr888/VwRvOunKK69M6yu2EwcbhLXeetU9\nR+oTKxEkqp9yUJCyxAwEKUd7WCr8lgWfoP2kTeIbiNXwQ7bNIOVoh+cOGeOH7Jjkikly12lj\nmdzn3d8jFcAwQ5DGq6++arRZglxshy2j7h8MG8cjrH/99VeF2dod6WzLyWd2BBDAPJCFxg+L\nBQ+9TfqRnSu5GmcEWNbGb/nJJ5+sovnSr5dfftkEGT7++OMm3ezhhx9ulsBhxdp///3Tlsm1\nUsLuZ40mfM455xiNmqWJ5AZAuDqJoDzrerHnV65cad4j9rv70wrgVavWZL2vSrk/XWru816+\nW3ecl3ud9wQth2ALWjZoOd7z7ne9sy/ZjqNo0y+vXldLRC6ALdB+11c2a9bMFpVPnwjgL8dP\nV6gMWE52+HFjpUAA0y7fhcoPAYQb1qzzzz/fbG+ZrodovEz4nnvuueRlosrZLYsJNRoqGqwl\nrFy5Vkrst99+RoO1+eCJ6kcbfPrpp03SHucyxx49eqjx48fb6s0nqw4Q8m6yMSXV/oyCXrRo\nadr73OX4zruJ/vglytFukEj7IBH6/BZZfcEkxG8yI4QgS0b97nRGOXjleSHg1g9hMeXPbzm0\nbQJ7CfjFBeKHgq544Rn0IqNKRgD7AUXuzQ8BfuBoDJtttll+FXksjaCfMmWKmjFjhiq0ydsj\nS3JbyAi89tprJoEOWexsJjtedqSVJRIa7ZQXIC9D5ySMl9SJJ55otCHcTU7BhVka0+gPrvgB\n90oJK3xtl4gHQQCn057tPV4/a0giDq9QyX0BEBABHAC0uBex/t9iCWC7/hctWARw3J+e9Pxv\ns8026qSTTkq5SIAV68Bb/xmIR9Y74jmIWLYmPSZlX3/9tVkPjQ/XTblWSmDWRnO+9dZbk0XR\nchHybsGcvMHHgTVBy37APkCTWz0jEGkUtGcu5cZQEcD8DBVLGFpTt/iBQx3Gkqpsu+22M5HP\nRD/bP7RdstQdeOCBhtdDDz3UaLgsK0IbJuUsMR5sRZppyVKulRJsXzpq1Cg1dOhQs5xx7Nix\n5hjtOYxUsRIFXVKPWdkxIxpw2Q1p7g5ZAVxsDdjuP5ybQ7mjHBHYeuutVf/+/U2CDgIpEbpk\nq7rgggsydjfXSgk0bMzb999/v6mXnAAEdF100UUZ6/RzAU26WvX1dZY6WQfsBze51xsCIoC9\n4VRWd1kTdLE0YPJBQ+50gWUFqnSmCgLpslHtu+++ij/iEMhkl0nzdVaWa6XE0UcfrYioxn+M\nz9jvMhVnW+mOEcArVqSmzE13n5wTBPwiICZov4iVwf1WAy6WACbqsX79+iKAS+DZue2229Qp\np5yi3nvvvUizx/FMeBG+TshYKWF9x87zHBNdizYctvClbgKxRAMGCaGwERABHDaiMagPDZi1\nuWxYUCwiEIs1mLLNXrEQT98Oky7W6u69995mc4xrrrlGJkbpoUqeJR/0ihV/JL/LgSAQFgIi\ngMNCMkb1oAG792EuNPuYofHP2RSYhW5P6k+PwAknnGCW57zwwguKyOWbbrrJ7FbEPtsk0HBv\njpK+lso6u1YDFgFcWaNenN6KAC4OziXTCokHSAlYrAAs23G7FEn8wBaR6D6JTj722GMVPlom\nY+wkhGXi9NNPN4kZWE4UtYk6OnSqtlytRjWdrEIEcFVk5Ey+CIgAzhfBmJVn3SVULP+vhUcE\nsEWitD7xq5Jf/YknnjCZo0jQwvZ/mKg7dOigSOtY6VRDTNCV/ggUrP8igAsGbWlWbCOgi60B\nSyR06T0P+ORvueUW1alTJ9WxY0f1yCOPmGhiNGO2CSWBBpsqkFWqkom1wKIBV/ITULi+yzKk\nwmFbkjVHJYAlGUdpPA5s4/nSSy+ZfMxs9UnuYZb53HvvvQr/sDMwj+VCaMH4homcrlRCAP/x\nR0LvupTQUdiSy7xSn4NC9FsEcCFQLeE6rQDefPPNi8olWYl4uUs2rKLCXqWxu+66y2SfYr3s\n3//+d7NtX+fOnavcxwmW/JDO0e9GKWkri/HJGtoHDBEJXaeOvDJjPJQlx7o8TSU3JIVlyG7H\nVmwTNL3CD0ze3uXLl5uk/IXtqdSeDoHtt99eDRkyxOzH62XN7Pvvv5+yeUK6Osv9nDMdpQjg\nch/t4vZPfMDFxTvy1hDArAH2uwF3GIzjU4TsJMB8kX9FRWD+/Plm8/pMwpc1wmwfSaQ85Ny5\nqKiMllBjTgFcQmwJK2WAgGjAZTCIfrrAspMotF94tAIYM3S7du38sC335oEAaR/Z8xUaN26c\nGj16tNka0l0l97z55ptmgoSVgoma0NpMWOAgyTjkaQgbARHAYSNawvXxIkazKbb/10KCZgVJ\nMg6LSHE+2X3osssuS2ks2zK0Ll26mA3MUwpU8BfZE7iCB7/AXRcBXGCAS6l6K/isICw2b7Zd\ny0ex26/U9ljnu3r1apNsgwQb4J8uqpl8yo0bN1ZsbiC0DoHqfwZhyVKkdZjIUTgI+BbAJHOf\nNGmS2fOzZ8+esfIR4c+qW7du3sjhP2P5RthE1GkY/Fm+eKGynVu1amujOGfNmmUutW3bNlA7\n1h9IfUH4ZEkLhBncWZ76MHeuWRPOlm+2v/Tf2Y5pPI9/YY+P3YyA58limwd7GYvSzpVXXmmu\nMwb8fskBLeQNAfEBe8NJ7vKPgG8BjOmK/LEDBw40Pj3S1rEBt8105J+F4pYI80UXZl2gQH1h\n12nr5fOHH37gQ7Vp0yZQO5a3oHw2a9ZM1atXz2hgti7DkP4XtE5b3vlp6w6zTlu/rdt+z+fT\n1pWOz0JM8OCVFJRC/hCoUXNtrOry5bIloT/k5O5cCPgWwCzWP+KII9TQoUPVM888Y4TxDTfc\noHbffXd1il6sj/mKNZ+lSLzUlixZEgpr1LV06dJQ6qISMGOzgrD4o040QFIL8gd9++235pN1\nnUHaQQOET8yZQcrTOBM4TKCLFy9OTgLQ0sGS/odBaJQIevIbB+UzHR9o02HWh9bPH+Njo45t\nu1aLt9+Dfv7yyy9qv/32U7vuuqt69NFH1QMPPKAeeuihnNVNmDAh5z2VckONmmtfkxKEVSkj\nXrx+BlqGJMncizdAYbZkfa9RRUHTF/zARNiyebpQ4RFg0sRezPxmISYnfM/1V3jO4tNCjVo2\nEYdowPEZtXhw6lsDdnfLJnPff//91cMPP6wefPBBk8ydhO4sNSHX7OGHH+4uJt8jQAABjBk4\nTL+o325Y4U9GrkrPsOQXuyD3N2/e3Kz7tWX79eun+BPyjoCNghYN2Dtmcqc3BAJpwLZqSeZu\nkSj9T7ROgrBsJHJUHFsBLMk4ohqBte06zf24FP773/+qQYMGqblz50bLWAm2vk4DDsdFUoJd\nFJYiQsC3ACaZ++OPP6569uxpgrCuuOIKY9YimTv+JhK99+nTR6ERv/XWW2azb5K5C0WLgBV4\nUQtguwbZ5qSOFpXKbP3uu+9WLVu2NK4AEDjttNPUPvvso0488UQzQZs4cWJlApOh1+t8wGKC\nzgCRnA6IgG8BTDJ3TFj8SEnm/uWXX6ovvvhCnXfeeSk7qcAP/ieSuWMGE4oWAev/bf1nOsio\nuLEasAjgaEbgww8/VBdffLFxRRD4NXbsWBNMueeee6oXX3zRTKoRxELrEBANeB0WchQuAr59\nwJLMPdwBKFZtdglSqWjAViMvVv+lnbUIkGqSSTETZybI5H6G7rjjDtW9e3cTOY4AXrRoUcmu\nZljbk+L9t+uAV6wQDbh4qFdGS741YEnmHs8Hwwq8qAUwy5gaNWokGzJE9BhNmzbNLElC+EK4\niZo2bap22GEH871jx44myYydsJmTFf6vRq21esry5eIDrvBHIfTue9KAJZl76LgXvUJrgo5a\nANNx/MC4MAgECmu9a9EBjWmDG264oRo1apThfubMmcZ9xNp+mxSEYCwILVloLQI1/1yGJIk4\n5IkIGwFPAliSuYcNe/HrQwCT9AFtJ2pCAH/11VcmaM/6hKPmqVLaP+CAA9QTTzyhzjnnHDMJ\nIqHMX/7yFzMZIjiLZYM77bRTJNtVluoY1ExqwGKCLtUxiitfngSwJHOP6/Cu4zvKbQjXcbH2\nyOZARhMTAexGp7DfWZNPwCQZsTBDX3LJJap3795GAF999dUmGhpBXClEtjj+3GQtApyvUXvt\ndb1ay9MaesoGWWtvU5IGLRukHP3jOfBbljJYr4KUo80gedrtWPlt044v7x2/Ze27Cp79kNdU\nslWfvDStSDL3NKDE6FTU2xC6obIJOJgUCBUXAV6c99xzj7rxxhtNwzZtLC/Tzz77TLEVYaWR\nU9im6/s6E/QfSVN9uvuc53LV6bzXfRy0bD7l/Jblfvvn5j/bd9tO0LJBy8FTvmWz9SvoNU8C\n2Fm5JHN3ohGPYxuAZdfgRs313nvvbbKmhZlXOeo+xa19K3idfFei8CUJycqVK50wmGOnBmOD\nsBYvXuYpFzh5yIM825Sj3SBl0ez8lkMgNWjQwFg//Ja12miQcqRBDZKnnZzx/PltkzSs4MM4\n+y3Lw8CY+M377zW2JacAlmTuVX6bsTtRagK49Z9rkb///vvYYVkODA8ZMkTdeeedZlMM1gI7\nhY3t37x58+xhxX/W/NMELVHQFf8ohA5ATgGMySpdMvfQOZEKC4aATXrBTkSlQJtssonJniYC\nuPij8cknn5gtCQnI69y5s0nIgSYklBkBm4hj2bJVmW+SK4JAAARyCmBJ5h4A1RIrYn2tpRLw\nxKSO5VCsNU2nfZUYfGXFDqliMcmRvW6rrbYqq74VqjMSBV0oZKVe34k4LGSSzN0iUfqfVgMu\nFQEMYltuuaXZAxcXh1DxEGDtL0k3RPh6x7xadR3xq/+WLpVlSN5Rkzu9IBBIAEsydy/Qls49\naMAEeJCBqlQIAQx99913pcJSRfCB8EX79RtUUhHgZOlkrTrV9YRRTNBZIJJLARDwLYAlmXsA\nlCMuMmPGDFUq/l8LhRXA3377rT0ln0VA4JRTTlH44K+99tq00b9FYCGWTdSsXUNPWkQAx3Lw\nSpjpnD5gN++SzN2NSGl/Zw0wewGXmgBu27atAe6bb74pbQDLjLv33nvPZEO7/fbbFVuI8lxg\nHXHT+PHj3acq+rvRgBcur2gMpPPhI+BbAPtJ5r7tttuGz7HU6AsBG4BVagLY+iBFA/Y1nHnf\nzPKiFStWmJ2P8q6sgipgKdK8WaIBV9CQF6WrvgVwIZK5s06V5RHUveuuu5plT9l6j/+K+wng\n6dSpk+rWrVu22yv6mg3AKjUB3LBhQ6OJMaETKh4CZ5xxhuJPyB8CterU0Cb7NTppxRqdgtG3\n585fY3J3xSDg+0kimfuECRNMMvfjjz/eLCOxydzZU/Sf//ynr2Tuzz77rOrbt6+aNGmS2RD8\n7LPPVtmSAAwbNkwdfPDB6j//+Y+aMmWKuuiii8xephUzYj47ajXgli1b+ixZ+NvbtWunfv31\nV7VgwYLCNyYtCAJ5IFCr7lpdZckS0YLzgFGKuhDwLYBtMvdHHnnEaKE2mTv1ksydnVSeeeYZ\nVzPpv6L5stMSuWmvv/56k56QVGODBw9OW2DNmjVq4MCB6qyzzlIDBgxQN910kyk3dOhQJabM\ntJCpUhbA1gzNREqo+AiwI9XLL7+s3n77bdO43bKy+JyUfou169YwTIoALv2xihOHvgWwTeaO\nljpnzhx12223mf7aZO5vvPGGQrPxQqNHjzYRmTYHLflF0bCHDx+etvjcuXON72rfffdNXu/a\ntas5lvWkSUhSDkQAp8AhXzQCWJv23HNPkwnr6KOPNpNggCEzVv/+/Y2PWIBKRaB23ZrmxOLF\nVfNGp94p3wQB7wj49gHbqsNI5k5SALdplCUSv//+u0LbRdg7aaONNjImZ+e5d99912yL1b59\ne+dphbBmyYWTMJkfddRRzlOBji1ffre2ytUYExD6GBYxKQJjPvGVW77zrR8rRRh8br/99oYV\nrBeNGzfOl61keZtakXSL8BoWgWMY/bb8WD5J9eqORGaTgELQwoULVZ8+fUwy/IsvvthYsWiH\nxDpMfm+44QbFsjX2DBZah0CtPzVgWYq0DhM5yh+BQAI4rGTus2bNMrtxOLuBYEf44hfM9VKe\nPn26whSOD9pucWfr4gX2g0516CRePnZvSOf5oMdhCTTbPi/kMPmjXsz8BGDVrLl2Bm/byucz\nLD47duxo2MAEHXa/qZjxCXuMCsEngt1N/AYKQY8++qj5bbHMiN2xjjnmGNMMPLzwwgtmQszy\nJP7ck4JC8BOXOmvXW2uCFg04LiMWDz59C+Awk7mzz7B7pm+/59Iu8V9dfvnliq3tTjvttCpo\nN2vWTHGPkxDACP18iRdTkC2qsrVLzm226MKsHxYhdLEmkPQijH4jzJjosK54/vz5ebPJSx8s\nEcCsV3amN82ncvrdpEkTs/XYokWL8qkqpWzTpk0Nnykn8/iChk52Miab7ErkJLDhGQ6bxo0b\np3r27GmEb7q6jzvuOHXXXXeZyaudIKW7r9LO1flTA168WIKwKm3sC9lf3wI4zGTumPPSaalo\nvtlMhx999JG65pprzOz9zDPPLCQ+sa7bLkFym/lLqVNbbLGFmjx5spmIWZNsKfFXbrwwsR0z\nZkzGbtkUlUxghNYhUKf+WgvSokUr1p2UI0EgTwRSnaweKgszmXubNm2M9mO1XpqfOHFiFb+w\nky0y+RAo8ve//12J8HUiU/XYCuBSWwPs5BTtnPG3exY7r8lx+AjsuOOOirXXr7zySpXKsRBd\nd911JjASi4zQOgTqbLBWAC9cKEFY61CRo3wR8C2Aw0zm3qtXL8P/oEGDjN+XxPykumRdsKWR\nI0eqt956y3zFPHvLLbcYExqbuuPHsn8EXQmlImCFWikLYMYRkr2BDQwF/3fqqaea3ZCOOOII\nk/SGiGhiKYijQOgywWWzFaFUBOrUXxvMJxpwKi7yLT8EfJugT9GRxY8//rhJ5n7jjTfmFdyD\nmZmoS2bdCGF8YvbFYLs1YsQIk/Gqd+/eRhBjImOZknupEv7gAw880BaTT42A1YBL3QTNYDH5\nwjcpVFgECCJjksvv5emnnzYTX1rELN2iRQtFkJYNzCosJ/Gqve6fJugFC0QDjtfIlTa3vgVw\n2MncWcf76quvqtmzZ5vUhO6oVRJ0WDrxxBMVf0LeEIiTBuyOBfDWQ7krCAIEk7HM6M4771Rs\nhkGgHr54/giMFKqKQL2GazXgBQtkQ4aq6MiZoAj4FsCFSubuXkYUtENSbh0CIoDXYSFHVREg\nArt79+5VL8iZKgjUa7BWAM+fLwK4CjhyIjACvgWwJHMPjHXRC5JakEhzTPulSvBHZK6kQSzM\nCJFUY/fdd/ddufjkUyGr17C2OTF3rgjgVGTkWz4I+BbAzsZYZ0tEJckz9t9/f/MSbdWqlfMW\nOY4IAdYUk57TpuqMiA1PzRINTzYs1lbLUiRPkHm+CZ+v3XvZFgJrTP4k4iD9JLuQ8ax8+OGH\nZi32sccea2+Vzz8RqFGzmjJbEs4TASwPRXgIBBLARE6yIQI/WIgfLAKYHzPLg6666qqs63jD\nY19qyoQAmg/ZlHjJljoRCc3yM3ZGEldEuKMFns6ARYQvG6bceuutilSUzixcCOGDDjpI1a69\nVtsLl5P419ZgwzraX740/h2RHpQMAr6XIdlcsixd4Ae8yy67mM44c8n+7W9/K5kOVioj1qQb\nB4uEXYpkfdaVOmbF6DeRz2yWcumll6YIX9omDzuBWexQtnjx4mKwE6s2GjSpo7dKXW72BI4V\n48JsySLgWwDbXLKffvqp2YfXrjG1uWTZn5ftCJcsWVKyna4Exqwws8KtlPtsebTLpkqZ17jz\nhm83m5WhYcOGxgxNZLRQKgINmtTVbhKl08Wmpg1NvUu+CQLeEfBtgpZcst7BjfJOu6zHCrco\necnVtuVRBHAupPK/Tu70Cy+80MRupNs29Pbbbzcash0Tvy3i9vj666/Vl19+aQT9XnvtFYo7\nigkleejxV++6666KHaQsYVZnHbmTuI+kQWFS46Z1TXWzZi3RebrrhVm11FWhCPgWwJJLNh5P\nihXArO0sdbJmchHAhR+pgw8+2CS/ISXl6aefbuI2EGYIOCxXCM7HHnssECNozdRJgh3iQV5+\n+WU1cOBAs2NZgwYNAtVJoWeffdYk/+nRo4cJFuM7uzXZ3dKef/55RX545xap2267bfgCuNla\nof/LL4vUdtuFv1FGYICkYGwR8C2A+eGSCYtcsocffnhKxyWXbAockX5BI+BFiF9v5crSzt5j\nBfDPP/8cKWaV0Dg7LJH16oQTTjC7HhF5bgnTNElxENJBCIHL8/bggw+a4uzwRGa7wYMHq379\n+gWp0kwM8Enfc889qkuXLiZvOAGg1MknxEoM6g9jr+9sTDbZZK0A/umn8HbYytaeXCt/BHwL\nYHLJ4gfmh0UAFkKXdabkkkUo86PjxyEUHQK8VAnCYqODOCzrwe+I9iIacHGeGdZev/POO+a3\ny1JCcqwj3OxEKCgXWMdOOumkZHHeCx06dDBaqz1JbMi//vUvswkLiUBIMZvNVDx69Ggj1OEP\nYlnVAQccoNB6EcArVqwwQrp9+/a2iYJ9Nm25Vov/8ccFBWtDKq4sBHwLYMklW/oPCEuQ2LPX\nvf6zlDnfbLPNZC1wkQcIs3CQJB2Z2HQKX+5hgxRiRs455xxThMk5e3ezBzTLndiGkmhs/hCq\n6Yjd19y5zNGyMXfjbyaojM/PPvtMDRgwwERv43dGUXBvafrxxx+rSy65JKWZ2267LbmSw3kh\n3cR1480bmlt++gkfcGYTNOl0s113tuM8tml4g5YNUo722T/bb1nw4c9vOdtfJmd+l7vZNv2W\ns23iauHZ80P2OXDGHHgp79zhL9v9vgUwlUku2WyQRn+NJWJQuiCb6LlLzwHrlVlfTk5w2Qov\nPUZxOovb49prrzVa9WGHHWZYx0SNto0LixcaLiwmXpisySNgX3bOfs6aNUu5/cdYSxC6CxYs\nMLmsuR9NGEGPeR1LHML/yiuvdFalEHDurHC06TTDpxRwfdmgcR1Vv1Ft/Zz+mrOM1zpdTZiv\nQcvmUy6fsun64OVcsdq0zxXt+W3TWdZLn+w9XtsJJIBtI5JL1iJRWp9EhUJbbbVVaTGWhRte\nxBBmaBHAWYCKwSXcUldccYUxcbO1od3gAY2X6OTnnnsu2YvffvtNr62dZ5KwfP755ynrjxHc\nlHVrE/Y7Ju/99tvPmLDZyQnq1q2bWd/Meudzzz03RXjjMnv33XeTbXPAhAAe3JTpBbpZuyZq\n8ugZaurUH3Vf0qd4RStMV6e7Dfd3ytFukLIoRX7LIVz4rZE1z+92rlhCmQgxdn6IcvCKNYTn\nxA9h0eDPbzk0ZgL2cH/4XR6LxsyYsAufH2JZrhdN3fc6YD9MyL3RIGAFcDH8YmH10CmAw6pT\n6ik+ApiGScSDkLz//vtNLnLLxaJFi8xLiRe//UPosMMZ2ilbj7722mvJP9wo+Ksp5yRewLxQ\n7QvZCl97z84772wO0Z7DptZbNzVVjh8/O+yqpb4KRCCnBizJ3OP3VFgBHDcTNEhLIFb8njfL\nMe6D8847zwT/YX52+2Dx5ZLukohl6+/k/cK6Yaxp+HDdRJ7wYcOGGYGO9gSRttT6hTFrozmT\nWtPS+PHjjYB3C2Z7PZ/PLf5cfjRmzCy1116t86lKygoCKqcGzENPMI/zD9x+0Mnc8cOw3o71\neZg7mXEGFdgyFuEhwB6vaBZEF8eFbM5qm8ErLnwLn+sQII0lKWmPPvpoE+WMIOTP7qx06KGH\nGlMzy4rQatGW2e+bBBvWTL2utrVHvXr1MgeDBg0y7xuW17355puqb9++5jxJOUaNGqWGDh1q\nhPTYsWPNMUFdznXB7nqDft+qy1pT9+jRvwStQsoJAkkEcmrAksw9iVUsDnixsakBL6Y4kQjg\nOI1WVV7RbElPC51//vkpN7D5wx133KG23npr1b9/f5NEA4GK0GUJ0gUXXJByv/MLWvQNN9yg\nrrvuOkUZgqhYAmmfbyKiCb7C3E1yDiYABHSRErcQxIYMzXQ09BdfzNICf41eFpVThykEG1Jn\nmSCQUwC7++lM5u6+xo+BWfC+++6rCL7wG7rtrk+++0fAmp/jtASJXqKt4NcTDdj/mJdCCX77\ndne0bPzwbuCPgCHMzpk0X2cdbKlJghBM3ATwWPO1vQeNm4hqJp74jFlWU0jaqnNz9fHrU3U0\n9O+SEauQQFdA3b6nb5LMvbSfCszPUJwioC2iaMG4MGyUqz0vn+WHAILUi/B19hxrnFv42uu4\nypgEFFr40t6WnTc2zY4dO9M2L5+CQCAEfGvAhU7mHqgXHgsReekODPFYNOU2fuyEpodRl7Ni\nXi751olvHiIDEfX5fcmZwhn+2ZdfGHw6m6A+XpwE3OAzRJPhOCjZYB2WAuSLp5OHsJ4fW6fl\nkzEinsJJtCVUmghs0WltEo4vv5RI6NIcofhw5VsAFzKZe6FhC+sFagVw2PyGwZ9NwtGpU6fk\nfq9WcObLrxUKYQs2K4Ct2RwtmAlEULL9DZvPMMbH2ScrgO2n85pbIDuvyXG0CLTcckNVo2Y1\n9dVXv0bLiLQeewR8C2CiawuVzL3QaPJS87sQOx1PQRdnp6vLniOpAAEkfheZ2/L2c8qUKSZQ\nhexBLLBnLSVZgsIgBBt8Um++fDr5QQCxATwmRIiMWN27d3fe4usYbZpgHbIxudeQ+qrIdTPa\ndJj9hkfqJCkBf05i8lCIKF5nG3IcDIFqOvCqZdsN1bdTf9e/rdV6DH2/RoM1LKXKDoFAT06h\nkrmXHbpF7hATDDZhQJO02mqRWcirudatW5vy7r1d86pUCgsCBUBg0602VD9M+k3vxDRXL8XM\nnBe6AE1LlWWEQCABbPsfdjJ3W698BkOA7fzQ+uKwB3C6Hlq/r/Vjp7tHzgkCpYDApls1MWxM\nnTpHBHApDEhMefAdBR3TflYE29b/G1cBTJQrJm7RgCvicY11J1tu0djwP3Xq3Fj3Q5iPFgER\nwNHiH2rrVnCxD3BcCd4xo8tSpLiOYGXwvcmWawXwN9+IAK6MES9ML0UAFwbXSGq1AjiuGjCg\nwTvCVxJyRPIISaMeEWjcrL6qXbeG3g5RBLBHyOS2NAiIAE4DSlxPlYMAttq7NafHdSyE7/JH\noHmbRnqiuFCvCvij/DsrPSwIAiKACwJrNJUitEjvR0rHuJII4LiOXOXx3aJVI710MKF++GFB\n5XVeehwKAiKAQ4Ex+kpY60sCizibn0HRJuOwOa2jR1Y4EATSI9C8dSNz4dtv/W1Kn742OVuJ\nCIgALpNRZ+kO6THjLoCtBiwCuEwezDLuhhXA06eLAC7jYS5o10QAFxTe4lVufaZWgBWv5XBb\nYhkSm63bTSXCrV1qEwTCQ6DFnxqwCODwMK20mkQAl8mIW43RmnDj3C12cpo3b56aM2dOnLsh\nvJc5AhvrfYHZM0NM0GU+0AXsngjgAoJbzKrLRQMGM7uVomjBxXyCpC2/CNTQOaCbtNhABLBf\n4OT+JAIigJNQxPsADZjNEmw6xzj3pl27dob9adOmxbkbwnsFINBCZ8RasGCF+u23pRXQW+li\n2AiIAA4b0YjqQ1tkQ/sw97+NqCtJDVgEcFQjIO16RWCTP1NSTpsm7hKvmMl96xAQAbwOi9ge\nzZo1y2znZ023se3In4yLBhz3Eawc/q0AlpzQlTPmYfZUBHCYaEZUl9UUreCKiI3QmiWZCPtO\n236FVrFUJAiEjMCmel9gaMoU0YBDhrYiqhMBXAbDPHXqVNOLchHAdKZ9+/bq119/NdHQZTBE\n0oUyRQANmEjoSZN+L9MeSrcKiYAI4EKiW6S6bbQwQqtcyPbFTi7KpV/Sj/JCoFadGmpjnZIS\nAbxmTaK8Oie9KTgCIoALDnHhG5gyZYpppBzWAFu0RABbJOSz1BFotfVGavny1Xo5kuyMVOpj\nVWr8iQAutREJwA9aIhHQZJEqF9p6661NVyZPnlwuXZJ+lCkCbTo2Mz0bN252mfZQulUoBEpC\nALP36wsvvKDeeecdE83rtbMjR45U48aN83p7Wd73yy+/qEWLFqkOHTqUVf+sBiwCuKyGtSw7\ns0WntQJ4zJiZZdk/6VThEKheuKq91fzss8+qxx9/XPXo0UMhTPh+77335txS78svv1T9+/dX\n/fr1U127dvXWWBneZX2k5SaA69Wrp1q1aqVEAJfhQ1tCXapRo4aqWbNmFY7WI7LKI7Xepqmq\nUauaGj16pqpfv74OylrPfHosnryNckHLkoSHtoNQtWrVfJelverVqwcqB4/g7pdf2gvCK+Ug\nxtnPuFIGPiH664fYGMcLRSqA0Xyfeuopdc8996guXbqo1atXq7POOksNHjzYfKbrAPcgpPnz\nC2a6+uJ+zvp/rcYY9/44+d9mm23UW2+9pTc9/9GY2J3X5FgQCAOBNWvW5F1N9RrVVNvOzdXk\n0TPUzz/P1xH89fQ+wX8EqpcXd5CyQcvBZJCylAlaLmibvO8RhH7xscIzCL9WePtt0+vgRyqA\nR48erTbZZBMjfGGYzh5wwAHq+eefzyiA33zzTfXGG2+om266ST344INe+1m291kNsdw0YAas\nY8eORgBPmDBBBHDZPsHRdowX68qVK6swwcvaD3XceVMjgIcNm6batdtELVu2zE9xc+8GG2xg\nhFqQsmiTfstZBYZJiN+yvKvRKIOUo7MoUn7LkuUPnv2WYyyxqK1atcp3WYQ35f22iabuhSIV\nwDNnzjRbzzkZRSD//jsh/WvSqv277bab6tOnjxHW2QTw/Pnz1eWXX+6s2pTbb7/9Us4F+WLB\nDTvtIw9148aNfbFEDmjKde/ePWkusRVwnr+wg7P44fnl0/KU7hMeGzZsaB505/Wdd97ZfP3u\nu+98tWdnvLVr1zb9d9aZzzH1htlv+xzxcoBXJxVqxu1sQ47DQ2Db3TZXL987Sg0f/r36+997\nhlex1FTWCEQqgEmh2KBBgxSAmQUifBcsWJD2ZdekSZOU+zN9WbFihXrvvfdSLm+33XZVXnQp\nN/j8Yv0DPotlvJ3ZnftFnPFmfYGXNCZotF9wKxYhOKzwCKvNdPXttNNOpvqvv/7aFy6WJzsB\nsd/D+PQzPl7b4zlyP0vptDKv9cl9xUdgs3ZNzM5I77//P60trSo+A9JiLBGIVADz0sEU4ST7\nPV+trWnTpurTTz91Vm3aQujnS2gsmCWWLg1vB5SNN97Y8OdnD1wScCxfvlyx/jddv5jcMBHh\nLwxCAyRFJOYYJkhhEVrlwoULq/h2EKBMuD7//PO0/cvUPhr6hhtuaCLqFy9enOk23+c32mgj\nY53xXTBDgTp16hjNHyzdJi4mJDzDQvFBYIdebdTbz36lXWRT1Z57ro2Mjg++buhiAAA3+0lE\nQVT3wmkUCPgL7QqZQ15oLKFxEi9iXsj5mncRFryEnX9oLwjOUvwDA798Wf8va2bTlQ1SZ7p6\nnOfsWDnP5Xucjc9tt93WCF/SUvppp9h8+uHNeW+2vts+yGc8ENhx/7aG0eefHx8PhoXLyBGI\nVACzdy0mVKv1gsbEiROr+IUjR6lEGQAriGjhciUEMPTVV1+VaxelX2WCAAk5mrduZDTgOXPC\ns46VCTzSjTQIRCqAe/XqZVgaNGiQ8fsSbEOUc9++fZOskmyDpShCVRGYNGmSOVnOArhz586m\njyKAq46/nCk9BPY4rINWKNboxEKSwa30Rqf0OIpUAGNmvuGGG9Qrr7xilh9deOGF6ogjjlC7\n7rprEqkRI0aoIUOGJL/LwToEEMCY61u0aLHuZJkdETgHjR8vZr0yG9qy7M4eh3YwSTmefPJL\nvbwp2FrgsgRGOpUWgUiDsOCILFavvvqqmj17tgk6sUtILLfXX3+9Pazy+cwzz1Q5Vykn5s6d\nazKH7b777mXd5U033dT48UUDLuthLrnO6VCRQFS/UW2FEP7vixPV009/pc44o2ugeqRQZSAQ\nqQbshJgoYLfwdV6X41QESE4BderUKfVCGX5DCybKm0makCBQ6ggcfMb2qk79murmWz5RH374\nU6mzK/xFiEDJCOAIMYhl01YjtCbaWHbCI9PWDyxmaI+AyW2RItCwSV311+t6ahP0GnXssa+o\nnXd+Wt2ihfHSpbI+ONKBKcHGRQCX4KB4YckKo0oQwOQJh9iAQ0gQiAMC2++9hbrs8UPUdrtv\nrmb/tlRvMDNG/eUvQ3U6RPELx2H8isWjCOBiIR1yOwgj0jeylKvcSQRwuY9wefavXdcW6oL7\n+qgB756sOu/ZSo0a9Yt64IGx5dlZ6VUgBEQAB4It2kL4QmfMmGE2sbAJ1aPlqLCtEx9ApLdo\nwIXFWWpfh4DOChsa1apTQ51+w96KAK377hujs6nJGuHQwI15RSKAYziAY8aMMVzvsMMOMeQ+\nGMtowWyw8f333werQEoJAhEiUK9BLXXgaV11ytHV6qGHvoiQE2m6lBAQAVxKo+GRF7ZxhNgB\nqVKoW7dupqtffCEvr0oZ83Lr515HdVQbNK6tBg78Ws2Z43+7wnLDQ/qjlAjgGD4FbDJBsv5K\n0oC33357M1Jjx4oPLYaPrLCsEahZu7rqfXIXEw19//1rrVgCTGUjIAI4ZuM/b948ky8bk2y+\nO0bFqessRWJ3JGt+jxPvwqsgYBHY65iOqlHTeurJJ8erqVPn2NPyWaEIiACO2cB/8sknZleg\ncs+A5R4Wtu7r2LGjIv3mkiVL3JfluyAQKgJBM2HlYoKArBMu3U0vR1qjTj/9TTV3rpiic2FW\nztdFAMdsdD/44APDcY8ePWLGef7s7rjjjmbTDtGC88dSasiOQJhR0O6Wdui1hdrnuE5q+vR5\n6sgjh6jf9DphocpEQARwzMb9/fffN6Zn6xONGft5sbvTTjuZ8qNGjcqrHiksCORCoFAasG0X\nLbjHEVtrM/Rcdcwx/9b7oq+wl+SzghAQARyjwf7222/Vzz//rDA/16hRI0ach8OqFcAEoQkJ\nAnFGgPX7J/9fD7XH4R2MEL7wwhFx7o7wHhABEcABgYuiGNov1LNnT/NZaf+aNGmiOnTooFiK\ntGyZ+M4qbfzLsb99r9hDbbFtM70P+nT11FMS4V+OY5ytT5FvR5iNObmWikClC2DQ2G233dSU\nKVMUa6Er0Q+e+kTIt7gjUL1GNXXGP/dR1xz7krrggjfUTjttqjbaaG0arhEjvldvv/2dCdSq\nV6+mat68nurceWO1zz6tVW29pEko/gjIKMZkDFeuXKkwvbZq1Uq1bt06JlyHzybm9yeeeEJv\n8/ahCODw4ZUa/0QgUWgnsAPpZps1VH2v3FM9/n//Vb17D1T9+nVWr732jbb0zHLcte5www1r\nq7PO6qaOP76jatKkzroLchQ7BEQAx2TISECB2XXPPfeMCceFYRMNmCQkI0eOLEwDUqsgEAEC\nux7UTs2dtVj9+4HR6tprPzQcsIFDn1O7qKYtG6hlS1apuTMXqa8++lGNfGWyuummT8xf27aN\n1R57bKa15x6qadMQE1hHgEElNikCOCajbpcfVboArl+/viICHBP077//rs11G8VkBIXNOCEQ\nxSYnB53eTXXp2Vp9P/FX1arDRmrz9uue7UZNlWrRupHquMtm6uB+2xshPH7k/9QPk39T3z71\nlXr66a/UX//aWV122S6qfv2acYK6onkVARyT4cfkyksBDbDSiSA0BDCTkiOPPLLS4Yi8/z/+\n+KMiQcyGG26odt11Vy0A6ofOU642cl0PnaECVbhp2w0Vf9mIXZX6nNrV/K3W+wt/8d73asi9\no7RrZrwaOnSaOvbYbdTOO7dU3bo1V4117mmh0kWg4gQw6QzzpfXXX99kowqjLicvCNh0dS5Y\nsECNHz9eB2B09qXxUR+8pqvT2a7XY+qCMvHptR73fbY+Pr3Qvvvuq2677Tb13nvv6ZfNsVWK\nYKKGwuw79Vk+OQ6DLJ98usfIYh1GO4Ws49lnn1WPP/648cf/8ssviu/33nuvfvE3Dq3ZXG3k\nuh6EkWL6gIPwZ8sQxLXjfm1V5z1aqf888YUaMehrs+ew3Xd4662bqM02a6Czx63Sa41XGoHc\ntevG6qCDttKZ5bRarWmVFuJff/2rmjdvudpkkw3Ulls2Ms8615YsWak+++wXNUubx6lnl11a\n6iWQa39fXBfKD4H8pVF+7Re1NC+1DTbYIO827Ysz7LW41JuOv3fffddkgNpvv/3SXs/UIV7q\n1LlmzZpMtwQ6T7/T8RmoMl0IHuvVq2cmNV7qwArQrFkzI4DJh23Hw5a1wqtmzZpGCNvz+X4i\ngMPuNzzVrl27yrruP/74I192C14erfOpp55S99xzj9mbevXq1To46Cw1ePBg8+mHgcmTJ6t3\n3nlHnX/++SnFcrWR63pKZWX8hRSXR567k9GKp4yeoaZP+FVNHfuLmjbxNzV58tqc0+utv55K\nrEloy9GPasCAz41Abd68gc4tP9tsEGHhQWvedtumavny1XoP7tlq5cp174+NNqqjTj21szrx\nxG2r/Ba4f/XqNSZCu3r1tZN16vzjjzX6N7ruu21HPpWqKAGMIGIzg3zJCoulS8NLIde8eXP9\n8K5Oy98bb7xhWCYRhR/+GzZsqH9Ey9WKFeFk2UGwISyIyGZv3rAI0yVavh+hs9dee5kXPS/t\nnXfeOYUVBC9rhun7okWLUq7l86Vp06a+8M/VFvmtGzVqZHJbu9c120lJrjqivI4bYJNNNjHC\nFz6Y8B1wwAHq+eefTxHAw4YNMyZqnkO2lcRt4Nb4Z8+erVhm5xbAudrIdT0oPgiSOFIdvVyp\n615tzB/8Y6JeqjXfWnWq678aaqHOPT3x05/UqGHfqmlfzNSJfRaqpjoKu1uX5maTiFn/m28E\n98iRP5nub7JFY7Xd7pur5q0aqe+0UB/11jfq9ts/M3+t9LnGjWsZ4T1z5mKjYVvMEMAYtMh5\nDVWrtp6eNNdVW2yxodp6641NuTp11lMNG9bSk+8a+refMFr6ihWr9bOxvtGysUIw6a1blwl/\nTfPMLFy4Ss2YMU+/0/5QNWuur+roPnGNSUPTpnV1G/VUA733cu3a1ZJavOUp30/4oT9Ll65S\nCxeuMPy2aFFf/4aDm/krSgDnOwBRlf/vf/9r/GqVtP1gLqz3339/I4DfeuutKgI4V1m5Hg4C\nM2fOVC1btkypDIFMcByTXSZsaMfDhw9XhxxyiEmh+q9//UtrVV+qm2++OaVcpi+52sh13VpD\nqB8Bf+aZZ6Y09cgjj6RdzmbNrH/t+nDK/eX45dcfFyj+0tEv381T/KWj/2lh/b//pbuiBb9r\nAoOAnTlzifn7+OO1wj19yXDPevRq5Ww006q0bbZppiZMuKBK+VWrVlU5l+6ECOB0qJTQuQkT\nJih8awceeGAVM2UJsVl0VkjCgfn5zTff1Ms2rg19tlv0DsWwwVmzZmlto0EK55joEb5YNLA+\nDBkyRP3f//2fwm8P9dQBdMcff7waN26c1liaqhtuuMGc516sKlZAtm/fXl100UXa95i9jVzX\nnb5oeNtuu+1Me/YfVoh0L8tjj93OPFNB3DdobUF8yJSDgpYNUo4JCuX8l11P4xOEV+JS1uLj\nt83g+BSuzZ4926R9frBmYonLRSKAcyEU8XU0PAjTntA6BHhxogW/8soris0Z3GbodXfKUaEQ\nIBaAF42T7HcmR+xaxUuWzGXTp09P3sbYTZ06VZsjt1DENUDffPONMe/b7whnKFcbua6bSv78\nx/K1l156yXlKzZkzx/ylnNRfztX+1Isu2kNrbDPdl3J+Jz7h119/zXmf+wbKgddvv/3mvpTz\nO3j5LYdAw/WFa2Du3Lk523DegAuBCY0flxjlKQevbCm6cOFCZ5U5j2vVqqX481sOtxkTMcr5\n3crUi7uRZ8hNuJC87NcunnE3ciX2/fXXXzcvIatBlBh7kbJz1FFHmfYxawoVHwHWYLt97Lzk\neNnxouQaLyKEJC97+4cPuHXr1tr/19D4g/nOBIoXJcf82fXuudrIdb34qEiLgoB3BEQAe8eq\n6Hey9IgdkPbee+8qpr6iM1OCDWKG3nTTTRWTlHSz0BJkuaxYatOmjdFurdZL5yZOnJj0CzM2\nBNYRtY5pmb/TTz/djNnmm2/uCYtcbeS67qkRuUkQiAgBEcARAe+lWavZHX300V5ur7h78F+d\neuqpxoT29NNPV1z/o+5wr169DAuDBg0yft/vvvvO+OT79u1rzhPxvNlmm5nc3d9//70Zpyef\nfFI99NBDVcxznTp1UldeeWWVLuVqI9f1KhXKCUGghBAQAVxCg+FkZfFinRf23/82/hIxPzuR\nST3+y1/+YiLEWY/qXsqTeqd8CxsBzMwEUeGHJ0bhwgsvVEcccYTJhkVb+PtuueUWsxzspJNO\n0skfDlLkNL/66qvN8isnP5iSu3fv7jxljnO1ket6lQrlhCBQQghIEFYJDYaTFdZSEjBwxhln\nSPSzExjXMVG4aFxoVS+++KI6+eSTXXfI10Ii0LVrV/Xqq68q1vESXONc9kO7mJoffvhhxYQS\nczR+X7+Uq41c1/22J/f7QwBf/8cff2z8/Vg9WINfaIqizf/pNVdE7xMst+OOO5oJZr79FA04\nXwQLUB6f2mOPPWbC2EWg5Ab4tNNOMz8GMPO7tCF37XKHFwQ23njjKsLXWY780EGEr7OOXG3k\nuu6sS47DQYBlYCRPIeJ9xIgRxgrCeutCUhRtkvDnuuuuM9H6uLsuu+wyncTk57y7KRpw3hCG\nXwEmPQYX8yqzLaHsCJD8AfMmmhhJS3r37p29gFwVBMoIAbTBjz76yLhgiqWBWvjI+73HHnuY\nWAzOERCJNYrlO+lcCrZcPp/FbnPGjBkKodu/f3/VoUMHY5kcMGCA3g7yJvNHNrugJAI4KHIF\nKoeZjuxBmPLOOeecArVSftUSXYsARgsWAVx+41uoHrEmmWVSbkKQsK72hBNOcF/K+Z0UqAgg\nv8SmEvBy8MEHey7KOmV871tttZVJfvLcc8+ZNKA2OC1bRVjacA+0aNFCkdrVL1Ge9c5/+9vf\nkv097rjjjLsBIXnfffclI+Jt3awbpk349SugWcaGhctvmygz5CfHVbH11ltbVjx90iY8s7SO\ndeQQY0scw8UXX6zuvvtunZbzdrPEzlmh2xXjvOY8FgHsRKMEjskcRDQpkc+slRTyhgAzf34g\nI0eO1KnhJqRNL+itJrmrkhDIlCyBeAJSZrK5RLGItJjwg+XLK/3jH/8wCWlsDu0XXnhBb7Qw\nwPjj0UyzETEmCBC2kDz00EOz3WoSrrDlJFn5OnbsqDdr2Nbcj2uBCHenMIUXkq8QHX/jjTem\n1Et52kRQ77PPPinX3F8Q8GG0iQCmzUsvvVSRTz8bkcGNzW9Yv77LLrsYCyQBgkzGSFhiE8QQ\ne4IGfMopp5jAQpaKBiHxAQdBrUBlmDkzmyJ6lDR8Qv4QsBaDO+64w19BuVsQiCkCCDTnKgkE\n2zHHHKOuv/56xU5RYRDpOBH0TzzxhBE25513nhGspPDE9YPQd65AQHihHbKHORnPglAUbWJq\nxuKBOf+1117TOz6dqMhE2K5dO/OHGdpJrVq1MhMJtuNkshCERAAHQa1AZe666y6908cME8nL\n4Ar5Q4DUlMzM//Of/5gfkb/ScrcgED8EMIdi8XHS2WefrUhQ8uijjzpPBz7GfIsWiaBBQcDH\nS/rXW2+91VjqED5u4UQubyxSBGYFoSjaJMiKVKi8h5ls/PWvfzWbhiCQ+/XrZ/zbkyZNSukO\nec3BZtq0aSnnvX4RAewVqQLfx8CyZpKt+Zg9CvlHAH8NPyKIHw9LX4QEgXJAACGHewVt8+uv\nv052qVAaaLIBfYCfuWfPnklfOX5UTMsIVzRFfMAkDULjdRJJWLDqBaEo2sxmTSDQE5M0G4s4\n81+TDxv/cNAtX0UAB3k6Qi6DoMDnyyDiV8gnqi5k1mJXHTmFCcgiuT9rqIPsZhO7TgvDoSPw\n4IMPmu0LQ684S4UEEbL+303ZzLG8N4JqoPibWTJ05513uptM+c59pBh1UufOnY1WSAIcUo3i\ntyYpC+uBIfZKZ+kOmrCTttxyS9NmLhdbmG2SV5x+HnvssU5WqhznsiZcc801ZgMKfMmse4eY\ndPDeRkAHoWrXagpSMI5lACrd1mN++2K3mQqjLoQvyed5wDFzhBn0QXJ7fpx+NrrPhgUaJkEX\n1Bl0ZpuufiJRGZuw1vAS0fnZZ5+ZGTpLNIJEeKbjkx8oL5awiIhXxggswdRJRFHSnlA0CCAA\n0G6KSfy20o05Wi8m32eeecZkHCOQCJPvDz/8YPLEo4ExYSCy2Om6wqrGO4ogq3TE75k+8vuz\nRO55/J4EHZFEheeQpZCYs3HvOAXNNttsY4QsgUvk+V65cqUi+vm9995TRHSjMTIZdhL+Ydrk\nubdU6Dbtzk32vc1vDbPyp59+at45rB+H+B2+/PLLZu9qGxlP//EBP/DAAyaw87DDDlOff/65\nMcNjkcACcNVVV5nANNsfP58igP2g9ee9diDzFcA8CCw5wIdDFCE/NARRWFSpApjxIRiFVJ6Y\nyXiZOqM0g+IrAjgoclIuHwSGDx+u0BwRaBCRuEQiI3R5tolgRvgRRc0WjwhOJoo333yzWZKH\nAPFC5B/AAofQeeONN9SwYcPM0h2EOskvWJrFvuQINIj7EFSUQ7tkJQIBYWxxiKCyu5Vla7vY\nbWJNwMVHdDU7d+HXxocLtpjW8T0THe58XxAFjdmf/ap7alM8sSbsKw0uBKQxEQlKYoIOilye\n5dBKidpF8yVggofdPth5Vi3FNQL8aPhx84lpLJ1pT4ASBLIhgGbGUhqWpbgtFNnKBb1GG+n8\nvLnMsVh50ECJfsZHydIYJqCYhvEReyEiplm3i9BGCKPBIuiJfmavYLLNIYAIwnKS28+LhowQ\nZnONXBRFm9mCu1BYvPqzu3TpYgQx75d8SARwPugFLIvmTKQiM0pmjW+//bZx5AesToplQICJ\nDYKXNXu8SFhjLSQIeEGAyRvrWZkgI5gI6sPkWyjK5uft06ePwpxMukcnoXWSd5lJAuZkzL0k\n4sAfixAlWYRXYjtPTNlodhBmYiaumKepB2GMcMa8DB52QoLf2quG7eYlijazBXex9ptNRbz6\ns939CfK9JAQwMyHMrzjtvUSuMuNDY3zppZdCW+sWBLwgZfCtMDtlqQzCl+hBfD9ChUEAUx0v\nKLSIv//978ZsF5avuTAcS61RI5BLMysEf9k0M0zKCAYSbDhdVFjMEMLOpT5+NFBnP/h9kGGK\n95MlzhHtPHnyZCN48QEjhAloIviLTVAwzaJ1B6Go2swWUBaGNcEPFpH7gDF1MID41wicGTp0\nqAmacQYGODtE1hXWXjGTwWl+//33mxkYm3/noiiDsGib2SmRuUTokgWGoAorfPlkFuxc0J6r\nP7muV6oPmEAPftz4xfjjpUQkJJM2rA0EsHAODdmP2V98wLmeuPK4TiY6Am2YsEFseUhWKZ4f\nonzRSNE4w6Rcfl62eURIMzngWbbE+wLFxU/KTIKm3nzzTbN2lWWPPNdo0vQNfyima0usyODd\nhUUAXzMmZ/y7vG9RIC644ILkO8yWSfcZRZtBg7vw/wbxZ6frd65zkWrAPEyEsZP7mMwt5Ajl\nYedBy0TMwA455BCT85c1n8zCSDNWaloNwpQHALMn5k8GlA3HmTRg0hk4cKAREpn6KefDRQCf\nDS8qtAl8Wvh6SBTA2mteuEKCgEXAi2Zm7w3rkzazaWYoJGGYgDNle2JC4TXZBO/oHj16mD8b\nkJoNhyjazORCKIY1IRsW7muRCuDRo0cbTYSXI4Q2gqmF2WA6wmeAOYSZmJ2BEmTAAmp3hpJ0\n5cM+h3ZFdCAvcPLGMuhMCg4//HCjlTNTJUoOMzPEA074Oy9/IgiFiosASeexsrBjEkEl+OJZ\nNrH77rubXU54qaBJsN6PSeBXX31lJkzF5VJaixqBQqYepG/pgru8+HnDMAFnyvbEelbW0Bci\n2USx28zlQvAaUFaM53BtPHkxWkrTBmbkli1bplzBNPj7778bc6xbSCHsIO6xhOmEWRj+C/x9\nlrDloxk7CdMKD1k6whTOyxhNGuHOJ1oswQa8qDGhMEuFJwQvoerZzMXsfcqSAKLkCMtnLR31\nslQgHTH5oE33ml02gUZrdi9oT1eH+xy8Uid/fok+jh8/3oTYY6KyxLIDcHHzaa8H+cRk7KyP\nYBfaDxrcAc7gSZ3wmo5ok2USvAz5wZLdhokU7gF8XE6i/2ggdm0g9YMtbXBsv1OG8/ac/bR1\ncT9BLpyHtx122MHsZOOs296biW97XT4LhwDjw2SZhAssu3EuM8H9RUwBqQed571ywySdpS8k\nsiCGBUsY1r/WeuMV6+clDSJaJsQzg5+X+8gRwEbwTOiZSEIITC9aqLlZ/0NZwWxsiXgU3rfw\nQLtMPlEQ6Dv+X9bI+k02QZIK3pf291uMNm1/+MwU3EWkONZH1vRiTQAH3tMExIJzPgFlzvZ9\nHeuXc2SkTbIJPcgp7WutI6E1koQ2E6ac54vWjBPad1rlvNaIE9rUm3JeC+uEfgBS/jTwKfc4\nv+iXIVJK/gSDoj0D2hzmfARTjrXfLeW7fCk+AloIJbTvNeVdpCdGCe0CS3zxxRe+GdKT6YRO\nCpPQE1tTVq9DTeiMUAmdiCehhUZCC66EFvgJHX2cUve4cePM+ZSTOb5opSHxwQcfJPQqgATv\nVEt6qVJCW3fsV/OplYyEnnAkdEIJ810HYhm+9JaGCa0tJvjUk9KUMpm+6BiLhF4nm9BR2Mlb\nCtmmXhpl3v1aeBr8aFTvxGRkiFbKkjxwoCf2iZ49eyb0sjJzXic3MeOrfdoJvfFClbFOKVyg\nL5FqwGgUNpzdzhrsd7RNN6W7n3vQJtz3E1xAIgYncY8zys95jdko6/2oS2NttBRmlvwxG0XD\nxoQJD8yauActLSwi2IG+u6PA0bQ5T5t+Cc0K7d1i6rc8Fgr6bAnNwAZlhJkRigA06rNaXz59\nhldmsyyjwEKB9cAPMVt3WlicZQlqY/E+fIIr48+x/bMat/O7szzj4QwWxEICYa1x84kmjXVH\nKDoEwtAGndwXSzPj+SPuBKsOljdia9gf+LLLLkvuXkQCIJ5HCGsQySkIEGX3IqxtpKfErYY2\nS6xErvWuPMPsQoa2TD1o7ZZsvuqw28S3TFvwi8aNZsveyFgS0L6f1sGWl1xyiWXDJM5A48cC\ngXswX2tCsuI8DiIVwAyqnpWksM8LjvVo1gTjvMj9vOR4WTsFLmWcgoIyCEqnSZpz3MfLPR3R\nHn4YL4RJEgEcphDCTM1LnR9pWITQ5sVOFGMQcpvYEAqYpBBsLMoPi5gs8QNibMMgJk0ILyYz\nvBj8kLvPzrKshcw0gXPe5/XYvgDpt3uSxEtRKFoEeMcgVDBXsjUdmY9wCWHGtOkLc3FINDW+\nWyZv1GeX+vAsQZzD1HuKTp7BGlv2laU9dhoiVsFOThEaXon4BaKZWQPPe5C4GUzK1IlgRtlA\nOGF6tYQQs7sXWXeXjc2x92T6ROCzBpnf3WOPPWaydjnvZclS2G1Sv/UtO/dCBjsw8+pC4L1P\n7EdUFGkkEMtA2LjZ+fIhEtDtF7bgoD2g3TijBXm4eAAyaS22rHwKAoKAIOAXASb9aINkgEKQ\nINS8vLCZ+CK80cDGjh1rmkUrs5qZkw8Eu9XMeBdazQwfJYKNNlFKvBKWK21qTcYsFHr3Iibm\nCGsm0qTMZMKPn5q+//Of/zRKltcMU177yH1YqzLthYw8KERAmR/+vNwbqQDGLAIR1IAQJQiG\n9WksLbJEajaSg0NodOzXyNIltBsecmaGmBzsjNKWk09BQBAQBMJCAAFDDuBcpljaQykgcxba\nL3kK7LpaG9xFBjz3qg33vrJWM0PYo1n6IbRqp5JC2aC7F3ltlwmE9ouboEYmK2SVgg8mHwhf\ncAs7wxSWyGx7IeNCwBWF9h/W7kVe8fB6X6QmaB4y0p1hSkAIY5Jjwblz9w6yvDDT6d27t+kT\nkYDcjz+B8jxYLPUREgQEAUEgagQQCOeee67RzPBHIoSc5Fzqg/JgNVsEBcd+3UVsKoC7gh2S\nLOFKQ2smdSWR9pbwy6LM8K4lIhhrIkmQ7Np4r7mj07WJNZO+9e/f32jCmJwxf+MCYrcgNrl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+ "text/plain": [ + "plot without title" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# The Q-Q plot suggests the data are highly non-normal\n", + "# The non-normality is also evident in a density plot:\n", + "p1 <- ggplot() + aes(x=rnorm(1e5)) + \n", + " xlab( \"Normal Distribution\") +\n", + " geom_density();\n", + "p2 <- ggplot( glucs, aes(x=G2P)) + \n", + " theme(axis.text.x = element_text(angle = 35)) +\n", + " geom_density(color=\"darkblue\", fill=\"lightblue\");\n", + "\n", + "grid.arrange(p1, p2, ncol = 2);" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "\n", + "\tShapiro-Wilk normality test\n", + "\n", + "data: glucs$G2P\n", + "W = 0.66011, p-value < 2.2e-16\n" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Again, the data are clearly non-normal. These are visual tests, which are fine,\n", + "# but you may want to use formalized tests such as the Shapiro-Wilk test:\n", + "shapiro.test(glucs$G2P);" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Warning message in ks.test(glucs$G2P, y = \"pnorm\"):\n", + "“ties should not be present for the Kolmogorov-Smirnov test”" + ] + }, + { + "data": { + "text/plain": [ + "\n", + "\tOne-sample Kolmogorov-Smirnov test\n", + "\n", + "data: glucs$G2P\n", + "D = 0.86539, p-value < 2.2e-16\n", + "alternative hypothesis: two-sided\n" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# or the Kolmogorov-Smirnov (KS) normality test:\n", + "# nb: y can either be a vector of data values or a character string naming a cumulative distribution function (cdf)\n", + "ks.test( glucs$G2P, y=\"pnorm\"); " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### The data are clearly non-normal!!!\n", + "\n", + "What are your other options? In the next notebook, we'll consider some alternative approaches.\n" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "R", + "language": "R", + "name": "ir" + }, + "language_info": { + "codemirror_mode": "r", + "file_extension": ".r", + "mimetype": "text/x-r-source", + "name": "R", + "pygments_lexer": "r", + "version": "3.4.3" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/Lecture-8-Linear-Mixed-Model.ipynb b/Lecture-8-Linear-Mixed-Model.ipynb new file mode 100644 index 0000000..14e6229 --- /dev/null +++ b/Lecture-8-Linear-Mixed-Model.ipynb @@ -0,0 +1,1410 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Linear Mixed Models" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Set up the environment" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "slideshow": { + "slide_type": "notes" + } + }, + "outputs": [], + "source": [ + "%matplotlib inline\n", + "from warnings import simplefilter \n", + "simplefilter(action='ignore', category=FutureWarning)\n", + "\n", + "import sys\n", + "import numpy as np\n", + "import scipy as sp\n", + "import scipy.stats as st\n", + "import pylab as pl\n", + "import pandas as pd\n", + "import h5py\n", + "sp.random.seed(0)\n", + "\n", + "import limix.util as lmx_util\n", + "import limix.plot as lmx_plt\n", + "\n", + "\n", + "def no_annotate(*args):\n", + " pass\n", + "from limix.plot import manhattan\n", + "manhattan._annotate = no_annotate" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Load the data" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here, we load the arabidopsis data, which have already been converted into an hdf5 file. \n", + "\n", + "To process your own data, use the limix command line binary (see [here](http://nbviewer.jupyter.org/github/limix/limix-tutorials/blob/master/preprocessing_QC/loading_files.ipynb) for an example)." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "sys.path.append('./..')\n", + "import data as tutorial_data\n", + "file_name = tutorial_data.get_file('arab107')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Set up the data object" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The HDF5 file holds both the genotype and phenotype data." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "f = h5py.File(file_name, 'r')\n", + "phenotype_names = ['5_FT10','6_FT16','7_FT22']\n", + "pheno_group = f['phenotype']\n", + "pheno_df = pd.DataFrame(pheno_group['matrix'][:], \n", + " columns=np.char.decode(pheno_group['col_header']['phenotype_ID'][:]),\n", + " index=pheno_group['row_header']['sample_ID'][:])[phenotype_names]" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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"geno_df.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Let's work with flowering time data" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Int64Index: 192 entries, 5837 to 100000\n", + "Data columns (total 3 columns):\n", + " # Column Non-Null Count Dtype \n", + "--- ------ -------------- ----- \n", + " 0 5_FT10 192 non-null float64\n", + " 1 6_FT16 192 non-null float64\n", + " 2 7_FT22 192 non-null float64\n", + "dtypes: float64(3)\n", + "memory usage: 6.0 KB\n" + ] + } + ], + "source": [ + "#flowering phenotypes\n", + "phenotype_ID = pheno_df.columns[1]\n", + "\n", + "filtered_pheno_df = pheno_df.dropna()\n", + "filtered_pheno_df.info()\n", + "sample_idx = geno_df.index.intersection(filtered_pheno_df.index)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Int64Index: 192 entries, 5837 to 100000\n", + "Data columns (total 3 columns):\n", + " # Column Non-Null Count Dtype \n", + "--- ------ -------------- ----- \n", + " 0 5_FT10 192 non-null float64\n", + " 1 6_FT16 192 non-null float64\n", + " 2 7_FT22 192 non-null float64\n", + "dtypes: float64(3)\n", + "memory usage: 6.0 KB\n" + ] + } + ], + "source": [ + "filtered_pheno_df = pheno_df.dropna()\n", + "filtered_pheno_df.info()\n", + "sample_idx = geno_df.index.intersection(filtered_pheno_df.index)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "loaded 192 samples, 3 phenotypes, 21456 snps\n" + ] + } + ], + "source": [ + "phenotype_std = lmx_util.preprocess.rankStandardizeNormal(filtered_pheno_df.loc[sample_idx].values)\n", + "snps = geno_df.loc[sample_idx]\n", + "N = snps.shape[0]\n", + "S = snps.shape[1]\n", + "P = pheno_df.shape[1]\n", + "print(\"loaded %d samples, %d phenotypes, %s snps\" % (N,P,S))" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[,\n", + " ],\n", + " [,\n", + " ]],\n", + " dtype=object)" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "filtered_pheno_df.hist()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Standard linear regression" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As a reminder from the first notebook, the function for standard linear regression in LIMIX is ``limix.qtl.qtl_test_lm`` (see [here](https://limix.readthedocs.io/en/stable/_modules/limix/qtl/qtl.html))." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "from limix.qtl import qtl_test_lm" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "#set parameters for analysis\n", + "covs = None #covariates\n", + "searchDelta = False #specify if delta should be optimized for each SNP\n", + "test=\"lrt\" #specify type of statistical test" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "When you do not include covariates (None), LIMIX still fits an intercept (i.e., ``covs=sp.ones((N,1))``)." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "# running the analysis\n", + "lm = qtl_test_lm(snps=snps.values,pheno=phenotype_std,\n", + " covs=covs,test=test)\n", + "pv_lm = lm.getPv() # 1xS vector of p-values" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Convert _P_ values into a DataFrame:" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "pvalues_lm = pd.DataFrame(data=pv_lm.T,\n", + " index=positions,\n", + " columns=pheno_df.columns)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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max9.999916e-019.997372e-019.999867e-01
\n", + "
" + ], + "text/plain": [ + " 5_FT10 6_FT16 7_FT22\n", + "count 2.145600e+04 2.145600e+04 2.145600e+04\n", + "mean 3.391540e-01 3.160295e-01 3.225939e-01\n", + "std 3.076493e-01 3.070475e-01 3.092775e-01\n", + "min 2.681042e-14 8.060685e-14 3.061920e-15\n", + "25% 5.388477e-02 3.373513e-02 3.534523e-02\n", + "50% 2.533743e-01 2.175499e-01 2.249094e-01\n", + "75% 5.868014e-01 5.550127e-01 5.685764e-01\n", + "max 9.999916e-01 9.997372e-01 9.999867e-01" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pvalues_lm.describe()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### To get a quick idea of the results from GWAS, visualize the _P_ values with a Manhattan plot" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The LIMIX function for producing Manhattan plots is ``limix.plot.plot_manhattan`` (see [here][1]).\n", + "\n", + "[1]:https://limix.readthedocs.io/en/stable/_modules/limix/plot/manhattan.html" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "lmx_plt.plot_manhattan(pd.DataFrame(dict(pv=pvalues_lm[phenotype_ID].values,chrom=chromosomes,pos=positions)))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Why are there so many significant P-values? Let's use QQ plots to compare the distribution of significant P-values to the expected distribution" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The function in LIMIX to produce QQ plots is ``limix.plot.qqplot`` (see [here][1]).\n", + "\n", + "[1]:https://limix.readthedocs.io/en/stable/_modules/limix/plot/qqplot.html" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "pl.figure(figsize=[10,3])\n", + "for ip in range(len(phenotype_names)):\n", + " plt = pl.subplot(1,3,ip+1)\n", + " lmx_plt.qqplot(pvalues_lm[phenotype_names[ip]].values)\n", + " pl.title(phenotype_names[ip])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Question:\n", + "* Do you think that all of the significant P-values are reasonable? Is there a problem?\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "# Accounting for population structure using PCA" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "One way to account for population structure during GWAS is to add the top principal components (PCs) from PCA of the genotype data as additional covariates." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Perform principal components analysis (PCA) using sklearn" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "import sklearn.decomposition.pca as pca\n", + "pc = pca.PCA()\n", + "pc_snps = pc.fit_transform(snps)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Plot the top two PCs from PCA of the SNPs\n", + "Note that this is a two-dimensional representation of the genotype data" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0,0.5,'PCA2')" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "pl.plot(pc_snps[:,0],pc_snps[:,1],'k.')\n", + "pl.xlabel('PCA1')\n", + "pl.ylabel('PCA2')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Plot the proportion (%) of variance explained by each PC" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0,0.5,'total variance explained')" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "pl.figure(figsize=(10,5))\n", + "pl.subplot(1,2,1)\n", + "pl.plot(pc.explained_variance_ratio_, \".\")\n", + "pl.xlabel(\"number PCs\")\n", + "pl.ylabel(\"% variance explained\")\n", + "\n", + "pl.subplot(1,2,2)\n", + "pl.plot(pc.explained_variance_ratio_.cumsum(), \".\")\n", + "pl.xlabel(\"number PCs\")\n", + "pl.ylabel(\"total variance explained\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Running a linear model with PC correction" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here, we perform GWAS using principal components (after PCA of the genotype matrix) in an attempt to correct for confounding due to population structure. Like earlier, we use QQ-plots to check for (possible) P-value inflation." + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [], + "source": [ + "covs_with_pcs = np.concatenate([np.ones([snps.shape[0],1]),pc_snps],axis=1)\n", + "n_components = [0,1,5,10,30]" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "pl.figure(figsize=[12,20])\n", + "pl.subplots_adjust(top=1.1)\n", + "\n", + "ip = 1\n", + "for i in n_components:\n", + "\n", + " _covs = covs_with_pcs[:,0:i+1]\n", + "\n", + " lm = qtl_test_lm(snps=snps.values,pheno=phenotype_std,covs=_covs, test=test)\n", + " \n", + " pvalues_lm = pd.DataFrame(data=lm.getPv().T,\n", + " index=positions,\n", + " columns=pheno_df.columns)\n", + "\n", + " # make qq plot\n", + " for phenotype_ID in phenotype_names:\n", + " plt = pl.subplot(len(n_components),len(phenotype_names),ip)\n", + " lmx_plt.qqplot(pvalues_lm[phenotype_ID].values) \n", + " ip+=1\n", + " pl.title('%s: %d PCs' % (phenotype_ID,i))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "There is still a massive amount of P-value inflation. Can we do better?\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "# Accounting for population structure using linear mixed models" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Estimate sample relatedness (kinship) using the SNPs" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 100/100 [00:00<00:00, 2148.50it/s]\n" + ] + } + ], + "source": [ + "#estimate genetic relatedness\n", + "from limix.stats import linear_kinship, gower_norm\n", + "sample_relatedness_unnormalized = linear_kinship(snps.values)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [], + "source": [ + "#normalize it\n", + "sample_relatedness = gower_norm(sample_relatedness_unnormalized)" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "#plot it\n", + "from limix.plot import plot_kinship\n", + "plot_kinship(sample_relatedness)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### The linear mixed model" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In the limix package, one performs GWAS with linear mixed models using the function ``limix.qtl.qtl_test_lmm`` (see [here](https://limix.readthedocs.io/en/stable/qtl.html#linear-mixed-models))." + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [], + "source": [ + "from limix.qtl import qtl_test_lmm" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [], + "source": [ + "#settings\n", + "covs = None #covariates\n", + "searchDelta = False #specify if delta should be optimized for each SNP\n", + "test=\"lrt\" #specify type of statistical test" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [], + "source": [ + "#linear mixed model\n", + "lmm = qtl_test_lmm(snps=snps.values,\n", + " pheno=phenotype_std,\n", + " K=sample_relatedness,\n", + " covs=covs,\n", + " test=test)" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [], + "source": [ + "# retrieve the P-values, the Betas, and the standard errors.\n", + "pv_lmm = lmm.getPv() # P values\n", + "beta_lmm = lmm.getBetaSNP() # effect sizes\n", + "beta_ste_lmm = lmm.getBetaSNPste() # standard errors" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Convert the P-values to a pandas DataFrame:" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [], + "source": [ + "pvalues_lmm = pd.DataFrame(data=pv_lmm.T,\n", + " index=positions,\n", + " columns=pheno_df.columns)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Visualize the P-values from these LMMs using QQ plots" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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9jj5BxY5pu4jp/JFK7c5t+dtvhM+dS3aHDuyeP79SFyTVIQvkhdM6ceIECQkJdi8I9jx/nuh//AO/gwfZP2WKJFqiXktLSys8isf2HLcjKUZ+OJrPkRRj4WNtYmOJmD2b813Dmf/MfBK0fVf4VgcuGykwgUZRYDSfNSpEXSu++F0BHm4uuCpwd3OhnVsWJ0+etHvWo/2aNUTMmkV6eDg733ij1hItkJEt4aQuX77M9u3bOW9qwqZjBro3cyU0sOyFwU2OHaPn+PG45uSwe/58UqOja7G1laOUcgX+AE5praWMtyghPz+fuLg43N3dcXd3L3z8yggUuLsUML6/FyP+/TWh77zDiej+3HTtBDJOeeB+Jpfx/b3KjRlb3Zu54u5SgMGkcXd1LZyyEaIuFT8D944+QdzRJ4gtiZcI9ddkJ+/F39+/4otxrQn56CM6LVvGxcGD2T91KiZPz9r5ISwk2RJOJzs7my1btnAq14PFuwxFOpbSOo+mu3YROXkyJk9PdixeTFZoaB20ulL+CSQA/nXdEOF8rOsUc3Nz8fcv+ityZQQKDEZNx48/IfT7ZZwfPpy3732JjGOW50zm19qbbIUGujK+vxc7z2RxzzXRMoUonIL1DFzbBfEAYYGurF+/niZNmlS4O1cZjXRdtIi2a9dy+qabOPzcc2h7K8rXIEm2hFMxGAxs3boVk8lEYqYHBSZTuZ1Hiw0biJg9m9w2bdi1YAF5bdrUTcPtpJQKAm4C5gDP13FzhBM6fPgwp06dKnVBfOEIlFEz5bf/4/pt33Lmxhs59OKLhKWDe1IuBhO4uZhfWxmhga60dNH0DpKzQoXzsO44tMrLy2PLli24ublVeC6oS14eETNn0mLTJo7ffz/HH364zjZLSbIlnIbWmp07dxYuduxeYLRMbZTeebT75hvC3nyT9PBw9sydi6F+HCi9GBgPlLmoRin1OPA4QMda2CUjnMeFCxfYt29fmesUQwNdmdDHncg3FjFw28+cGDOGo08+CS4uhAbC+P5eHLhsrHDavTQmkwmtdU39KELUOJPJRHx8PDk5ORWu03LLyCBy0iSa7t3L4X/8g1O3315LrSyjPXX67ULY+PZ/u/ll5ymi2/sSwJWpjRKdh+38+6BB5vn3GjiV3dGUUjcD57XW8UqpEWW9Tmu9FFgK0K9fP+n9Gons7Gy2bduGj49PmVMjqqCAW96eS6uNv3P8wQc5/uCDRa7UQwMrn2RprcnMzMRoNBISEmJXLa+aJusYBZQs82A7fai1JiEhgXPnzlW489DjwgV6TpiAz4kT7J8yhQsjR9ZG88tVZrKllPoe8/R/qbTWt9rzBRJEwh7rth/hpbUnMJjc+PfpPMb3V4Udh23noYxGui5cSNsff+TM6NEcev75Wpt/r4GYGALcqpQaDXgB/kqpZVrrcTXYTFEPWQv3Fi9ceiTFWHix0dW7gB7TptF861aOPPUUJ++6q9rfm5OTQ25uLm3atKFHjx4l1ohVpKb6CWQdY6NnW+bBzdUFtMZg0oX1tFq7ZnHo0KEKd6f7JCfTc/x43DIy2D1vHql9+9biT1G28ka2XrP89w6gDbDMcv9e4HglvkOCSJQrIyOD7+ISMJhcyl2f5ZKTQ4+ZM2m+ZQvHH3iA4w89VNvz79WKCa31y8DLAJaRrRcl0RLWwqWpqalFpkZsdx4G5qcS+/NsmiXs5cCLL3L2ppuq9Z35+flkZWXRtGlT+vXrR4sWLewqr1KKavcTso5RQMkyD2DO4gsMJtbvP0Vo/lF8fX2LlEEpzm//fnq+/DLa1ZWdr79OZteutdT6ipWZbGmtfwdQSs3SWg+zeep7pdQGez5cgkhUJO7Ieb78bTu+7i64u1Dm+iz3tDSiXn4Zv4MHOfTcc5y+1d4L5ppTEzEhRHHJyckcPXqUwMDAIgmPdedhQHYan66cSquLx6s9JWIwGMjIyMDLy4v+/fvTrl27cjuvitRQTFS4jlE0fLZlHlwtI1tGk8bd1QXvjJN4+HkUKYNSXLO4OHpMn05+s2bsWrDA6Y6psmfNVkulVGetdSKAUioEsLcSmASRKME6Lx/g7caM7/ZRYNK4uyj+0t2DzAJdYnGv15kz9JwwAa+zZ9k3fToXhw6tw9YD1YsJALTW64H1Nd80UZ+kpKSwc+fOUmsFdW/mSlDWGT761xQ6pJ1jXcxMvEYOrtL3mEwmMjIycHFxITIykpCQELsP67VTlWLCnnWMsmGkcShe5gFg89ELNMk6TQsy8PYuO41o/csvdFuwwHx6wrx5FDRrVu32GI3GwguTmogVez7hOWC9UirRcj8Y+FtFb7J3MbAEUsNmTawCfTxIyc4n0MeDmT/sI99SDdioNaAwmCCzQHNzl6JbeX2PHCFqwgRc8vPZtXAhaVFR1W6T1pqsrCyACmu0lKFKMSGErdzcXOLi4vDw8Cj1j3lkzjliV8XgkZXOv6e9gu/VfSr9HcUXv3fr1g0vx2wmqWpMVLiOUTaMNB62ZR601rilJpOYloJvOQviO6xYQZf33iMlOpq9s2ZhbNKkWm2wXpgopejevTudO3eunWRLa/2TUioM6G556IDWOs+Oz7ZrMbAEUsNlu+DRpEEBri4Ko0ljTrE0LkqBLn3qMGD7dvNhoU2asOPNN8kOCalWe7TW5OTkkJeXR5s2bYiIiMDXt/IH7lYjJoQAzFfN27ZtIz8/v9RF6T7HjtHrpZdwKShg9+JF+HbrVunvyM3NJScnh9atWxMZGVnpxe+VUdWYkHWMoixJSUkkJiaWvSDeZKLL++/TYeVKzg8fTsLEiegK6m6Vx3phYjKZCAkJISwsDG9v72r8BEVVmGwppXwwr7fqpLV+TCkVppTqprX+obz3SRCJ1dtPkldgKtyqpAGT1ri4KLTJhKuL4r4ypg5b/ec/dH/lFXKCgti9YAF51TzDyrrrqlmzZgwcOJBmzZpVdUFwlWNCCLiyIP7ixYuFW9ituw593RWBhw7wtzcmgacHOxYvrvRFhnVdlq+vL0OGDKFly5ZV/l23l8SEqA7bkg99OwVy6dIldu7cWeJcUCtlMNBtwQLarFvHqdtu4/DTT0MVd6VbZzoMBgNBQUF07969ShfhFbFnbOxjIB4YZLl/ElgFSBCJMsUnpfBV/Mkie8JdAA9XF+4IMZFtcCGylWepNYGCvvqK0CVLSO3Zk72zZ2Pwq/qSv7y8PLKzs/H396dPnz60atWqJjoeiQlRZdYF8Rfx43+JBfi6K5YfyKfABAOTd/N/q2dxwcefTbNepXVIB7s/1zr94erqSq9evejUqVNVp8mrotoxIesYGyfbGRAPNxc+Gteb1KM7ylwr5ZKTQ4/p02m+dSvHHnmEpHHjqrQr3Xamo1WrVvTo0aPC+l3VYU+y1UVrfbdS6l5LA3NUJXsrCaLGZ0viJQxG8/ZdBYyKaE1Ue3+800/Q2i0bv9ISKJOJzkuX0nHFCi4MHUrC5MmYqjgsXFBQQFZWFt7e3jWy66qYaseEaJwuXbrE1xt2sjPVm/+dzseowUWBUcPIo9t495tXSG7ahgfvnskQj9bYU5hQa012djYFBQUEBwfTvXt3R63LKo/EhKiS4iUfVm/cw8jWplKL67qnpREVE4PfoUMcfOEFztxctdKd1ovwwMBABgwYQPPmzR0++mtPspWvlPLGUrhOKdUFkPUpolzFT2v/27DOmC4c5VRGBn5+Ja8eVEEB3V591Tws/Oc/c/iZZ6o0LGwwGMjMzMTDw4PevXvToUMHR1zdS0yISsvOzuZf67bwToIbBSZT4eMmDbce2MDC7xeS0CqEh+6aQaZvU7vONiwoKCAzM5PAwEB69epV6nmKtURiQlRJkZIPLhDkkYOvb8mjeDzPnqXX+PF4njvHvhkzuHj11ZX+Lmu8+Pj4MHDgQNq2bevwJMvKnmRrOvAT0EEp9QXmhe8PObBNop6zzr9PvbkHKdn5XNW5OT7ZZzlw8mSpw7Su2dn0mDaNZn/8QeKjj5J8332VHha23doeERFBSEhIuTVZqmk6EhOiEgwGA3FxcWw+qykwXfndVsB9u39i1k9LSAyLJPb5mVzj5lPh2YZaa9LT03F1daVPnz506NChJkduq2I6EhPCTvFJKXy9/SQXMvJo4efJ1JsiOJh0ioC886UehN7k2DF6jh+Pa04Ou199lbSePSv1fUajkczMTNzc3OjduzcdO3aszSl2wL7diL8opeKBqzD/bfin1vqiw1sm6qXlcclM/XYvRpPG0918zEIrl0y2JSQQEBBQ4irC/fJlesbE4Hv0KAdeeomzo0dX6vtsd5B06dKF0NBQh0+hSEyIytBas2PHDnaeTCfu/JU/ua4K5hz4hnt+/D8uDRzIqenTGWTH7651s0dwcDDh4eF1MWVYgsSEsFd8Ugr3fmBeo2Xl7gpPdSugV1DJenNNd+8mctIkTF5e7HjzTbI6d7b7u7TWZGRkoLUmLCyM0NBQPKqxY7E67NmN+B3wL+A7rXWW45sk6qv4pBSmfrsXg8m8LD6/wMRv+04SVpBY6q4S71On6Dl+PB6XLrFn9mwuDxpU2seWynadSvv27QkPD3fIDpLSSEyIyjhw4AAbE07x73OeGKzTh1qzaNe/+PNPy83b1idNQlcwEmstsujr61u4zsRZSEyIilhHs/aeSiuSaAEYjJrkPC+ii/URzTduJGLWLPJat2bXggXktWlj13fZLn7v0KED4eHhNKlm/a3qsmcacSFwNzBPKbUVWAH8oLXOdWjLRL2zJfESJn1l/6GLi8IzLRnPQM8SU3p+Bw8SFRODMpnYuWgRGRERdn+PdXFjs2bNiIqKolkNVAuuJIkJUaH4pBR+2ZHI4eMnWX/OHZM2dzAu2sS0/3zAn//4njOjR3Pw+efLXZ9o3ZpuNBoJDw8nNDS01qdA7CAxIcpU2miWLRel6NGiaB/RNjaWrosWkdG1K3vmzaOgacnpxdJYz/0MCAhg4MCBTnNRYs804u/A70opV+Aa4DHgI+RgaWEjPimF06k5uLkoDCZzsdJ7u7oQ4mcoMc0RuHUrkdOmkR8QwO7588mx8+QA2+MTBgwYQLt27WptcaMtiQlRkfikFP7ywRbyDUa0zZ9ZV5OR9357i1F//JsTY8Zw9Kmnyl2faK2Z1bx5c6Kjo0vfxesEJCZEWeKTUpj5/b4iiZYCotr745KXga+bZkQnrytrFLWm4xdf0PnDD7k0YAD7pk/HZEdxUZPJRHp6Ou7u7vTr14/27dvX9TrGIuyqQW/ZZXIL5iuXPsCnjmyUqF9s66S4ubpwT//2hLmn0Fyn4+tb9G+t9Qyr7OBgds+fT74dVx3WeXeAiIiIGjs+oTokJkR5VsQdI89gwtytmHkYCnjjh1cZdXATxx56iKQHHigz0bKuRdRa07t3bzp16uRUHUdpJCZEccvjkpliWcNry91VcXuwkWamAprajlgZjYQuWULQmjWcHTWKg+PHoyv4W29blDQ0NJSuXbvW2bqs8tizZmsFMBDzTpMlwHqtdeljgaJRsq2TYjSaUDlpBLqk4mcbRFrT4csv6bJ0qfkMq5kzMdqxxsq6GLhDhw5ERESUWnultklMiPLEHTnP1zvOgOVQKgDv/Fze/2YOw47t4Mjf/87JMWPKfL91NKtly5ZER0fX+VoTe0hMiOKWxyUz+Zs9FMuz6BXUlHu6uuGdfRZ/mz5C5ecT/sortFq/nhNjx3L0b3+DCi4wrFOGLVq0oFevXg49kqq6yk22lFIuwB7gL1prY+00SdQn8Ukp7DqRisJcId7NRdHCeLnoeVYmE6HvvEPQ6tWcHzmShJiYCs+wstbL8vPzc6rFwBITojxGo5Gv/7en8IB1gKv9cpn1yTQ6JSWUu+PWdjQrOjqaTp061ck0eWVJTIjiykq0PFwVD0Y1QV0+TlOb3emuWVlETplC4I4dHH3iCU7cfXe5n28t9ePm5kb//v1p376908dKucmW1tqklLpJaz27thok6o/iQ8QuCm4Nyi+yfbfI1cqYMRx98slyr1asU4ZKKaKioggODnaqxcASE6IsWmv27NlDG5WBu4s7BhO0zE1j8cppNDtxnIQpU7gwYkSp7zUajaSnp9OiRQuio6NrbWdtTZCYELaWxyUgCJq/AAAgAElEQVQzac2eIke1KQXXhbfm9u5NyD2ZUCTRspb/aZKYSMLLL3Pu+uvL/XzrbEdISAjh4eF4eno68KepOfYsfPlFKXUn8LXWWlf4atEolHblorXG6OZVuLbENTOTyKlTr1ytjB1b7mJg6y7DoKAgIiMja/TE9RomMSFKOHz4MImJifj6+TOknZHAlPNMXTYZv4vn2DtnDpcHDCj1fdYSJlFRUXTu3Nnp12aVQWJCmBOtb4olWsCc26K4NtiTzZs34+/vX/g77nXqFL3Gj8fj8mVzjAwcWOZnWy9InG22w172JFvPA00Ao1IqB/P/O621dt7JUeFQpQ8Rm3cgRli273pcvEjPCRPwSUoiYeJEzo0aVebnWYeEvby8GDJkCC1btnT2IWGJCVHEiRMn2LdvHzsymrD8QB5Bl0/zxYrJ+ORnsnvBglIrXlt3T/n5+TFkyJCiC4XrH4mJRs5aZ7F4qj0qojWju/mzYcMGfHx8Cjc3+R4+TM8JE1BGI7sWLiS9jPI/1pqKBoOBiIgIZy19UiF7Sj84515jUSdKHSIGejVX3Bxq3r7rnZxMr/HjcU9LY88rr5DSv3+Zn5ednU1+fj5hYWF07drVkUfs1BiJCWHr4sWLxMfHsz3Nm2UHDIRdOM6yFVNwMxlZ8sIConv2KPEe6yhuWFgY3bt3r/PdtdUlMSGK11kEcHNVPDCgLZs2bcLd3b1wl2DA9u1ETpmCwdeX3YsXk11G+R/rZpHAwED69Onj1AvgK2LPbkQF3AeEaK1nKaU6AG211lsd3jrhNOKTUnj/96P8sv9ciefuCYUbQs07pvz37yfq5ZfRrq7sWLyYzG7dSv0865Bw06ZNGTRoUF0eoFtpEhPCKj09ndfWbGH9GXfOZhvpdfogn6yaTp6bO/feN4+7+nQt8nrrmkQ3NzcGDx5M69at66jlNUtiQlzVuTluLooCo0YpuDa8NY8M6kDm8d2YTKbCdYgtf/uN8FdeIad9e3YvWEBey5YlPsu2kG/Pnj0JCQmpr9Prhey5nHoHMGEuVDcLyMS8tbfs4QrRoMQnpXD30s0YjCWXYvQMNHFDqPmitvnmzUTMmEF+8+bsWrCA3PbtS7zedki4R48edOnSpT4OCUtMCDYdPMPUr7dzJM085T0oaTcffD2LSz5NGXf3bK4d3LHIYdLWC4w2bdoQHR3tFGca1iCJiUbu4NkMjNpc8MTd1YXHhnQi+8Q+cnJyCkek2q1ZQ9hbb5Heowd75s7FUEqR3vpSyLey7Em2Bmqt+yildgBorVOUUs5XMUw4zOrtJ0tNtFzR3NrVXPeqTWws3RYtIjM0lN3z5lFQykiVtbNpAEPCEhONXNyR8zzw6XbLOaCKa4/E8c4380gKaMv9d8/iTwPbMqLjlSlx6zltUVFRdOnSxdnXJFaFxEQjNm9tAu9vSCxcXmIwmFi9cTeDAzLNaxG1Jvjjjwn+/HMuDh7M/qlTMZWyi9BanLSebxYplT3JVoHlCAYNoJRqifkKRjRg1mnDfWfSScnKL/F8VKCRW7v6EBrgQqfPPyfko4+43L8/+2bMwFjKLkJrEEVGRtKlS5f6HkRVigmllBewAfDEHHtfaa2nObKhouYt23yMhT8nFCZat+7/nYWxi9jfqjMPjZ3Bn/u2KEy0tNakp6fj7e3N8OHD69V0eSVJP9EIxSelMOWbPew/k1HkcaWgjUsm/v7+KKORsNdfp11sLGdGj+bQ88+ji81mWI9ia9q0KX379q3PF+JlsifZehNYA7RSSs0BxgCTHdoqUafik1K4Z+lmCkoZzVLAXcEG/tTNH2UyEbZ4Me2/+67MoxUaaBBVNSbygGu01plKKXdgo1LqR631Fge2VdSgV9bu5/0Nx7BWh79350/M+XkJWzv0YN4j0/h7r8DCqUODwUB6ejodOnSgV69eTnmESA2SfqKRKSzzUEqhjzs6FtA7qCmu+fmEz55Ny40bSRo3jmOPPFKi/I911Ld79+6EhYXVx2UldrFnN+IXSql44FrMfe1tWusEh7dM1JktiZdKTbQABrUy8qdu/uYgmjOHlv/9L8n33kviY481miCqakxY6g9lWu66W25Sk6ieiD9+uUii9Xjcaiau/5hfu/RnxVOTebbPlQuJnJwc8vPz6d27NyEhIQ1x2rAI6Scal9J2pVtd08Z8Me6elUXkpEk03bOHw888w6k77ijyOq01aWlp+Pj4MGzYMJo1a1Y7ja8j9uxG7AIc01ovUUqNAEYppc5orVMd3jpR65bHJfPppmOlPueCZkSwN+4ZGURNmoT/vn0c/vvfOVXsnDdr/aCGGkTViQnLVEs8EAos0VrHlfKax4HHATqWsSVa1C6tNa/F7gLMK4Bf+O/nPLN5Bd93H8r4W57nhZAmha9LT0/Hy8uLYcOGNeRpwyKqGhMytV7/xCelMPmb0hOtvs0MjOvph9fly/QcPx6fEyfYP2UKF0aOLPI665mGwcHBREZG1ouSP9VlzzTiaqCfUioU+D/ge2A5UPoBXxYSRPXP8rhkJq7ZU+JxXw8Xgn3yuSXMhyhDCj2fH4/36dNlBlFmZiZdunQhIiKioQZRlWICwHJ2XG+lVACwRikVqbXeW+w1S4GlAP369ZORrzq2PC6ZN9clcDazAKU1U3/9gIfjv2d19PXEPvQPXuhgri9n3QDStm1boqOj680xIjWkqjEhU+v1zLwfE0qceQjmEa37onxpcvIkvcaPxy09nd3z5pHat2/ha6wlHQAGDBhAu3btGvyor5U9yZZJa21QSt0BvKG1fsu646QCEkT1zIptySUeUwoeDc2jZ3s//CzFSl1zctg9fz6p0dGFr7PWD3J1dWXQoEG0adOmIQdRVWOikNY6VSm1HrgR2FvBy0UdWB6XzIKfD5CaXQBoXE0m5v/4JmP2/soH/W9HxTzFA83Mf0KtRUp79OhBaGhofd8AUhVVigmZWq9flscls+14SonHxwYbuD60CQGHDtEzJgbt6srOxYvJ7Hqlzpzt+Z99+vShSZMmtdn0OmfvbsR7gQeAWyyPVThcIUFUv8QnpbD3dFqJx0e2NhDVzpdm+/YROWkSJk9PdixeTFZoaOFrrEHUunVroqOjnflMw5pSpZiw7NAqsCRa3sB1wHzHNVNU1bNf7uCbnact9zQeBgNvfP8qfzq0iYVX38f/bruPf1gSrcxM85+5IUOG0KpVqzpqcZ2rUkyAfVPrwjn8uPdMicfGhhgY1dmHVtu302PaNPKbNWP3ggXk2NRZzM3NJScnh/DwcLp27doYL0bsSrYeBp4A5mitjymlQoBl9ny4BFH9Me/HBIw2G7V9PVwY3T6fUZ19aLNpExGzZ5Pbpg27Fywgt02bwtfZ1g9qaHVRylHVmGgLfGqJCxdgpdb6Bwe2U1RSfFIKL6zcyfFL2YWPeefn8f6aOQw7voMZ1z7Gp/3+zMTOHoULfAMCAujfv3+ju1Ivpsr9REVT67KG0Xk0b1J0R+017QxcF+JN0Pr1dJs/n6yQEPbMn0++ZZ2udcbD3d2doUOH0qJFi7potlNQ9hzQbilO1x3zyNRBrXXJwkvlvz8A87bgZ4qvTykWSH2TkpIq89GiBsxbm8B7GxKLPBYVaOSZaC+Cf/yRsDfeID08nL1z51JgOSzXtn5Q//79G+pC4DLnQasbE/bq16+f/uOPPxzx0aKY+KQUxry7qcjwu39uJh99NYPo0weZMvoZDoy8gdGdPQj2M//+BwcH07Nnz3p/tmElODQmlFLTgCyt9WulPS/xUHeKjvZCvxYm/hrpTuh33xH67rukREezd9YsjJaLjgZ+YoItu9bL2LMb8SbgPeCo5UNDlFJ/01r/aG9LylufIouB61Z8UgrvF0u0QBPo5UrXZcvMFX8HDTJX/LUESyOrH1RCTcSEcC7PfrmDb3eeLpJoNc9K5bOVUwm7mMxHf32Z6/9yHddjnhLJzMxtNGUd7FHVmJCp9fqheKIFcDEHIj75hI4rVnB++HASJk5EW/oC67RhI17DWII9l2MLgZFa6yNQuMU3FpAgagDe+/1osYV0GneTiUnfv0vwrz+VqPibnZ1NQUEBffr0oVOnTo21o6lSTAjnNGrheg5fyCryWNv0CyxbMYV26Rf4ddIswq65CjCvz3JxcWHo0KE0b968LprrrKoaEzK17uSWxyWXSLTcjAamf/sWHeN/5dRtt3H46afB1bXItOGwYcMkRmzYk2ydtwaQRSJw3o73SRA5ufikFH5NOGfziKa1zmPVf16lY3wcx++/n+MPPwxKFU4b+vj4MGTIEPN5V41XVWNCOJHlccnM/mEf2QVFT5UJvnyKZSsmE5CXxb9nzMNvcO8i67MGDBiAj49PHbXaaVUpJrTWu4Hoil4n6kZ8Ugrzfixam9Y7P5d3vn2FEYnxHHvkEZLGjQOlMJlMpKWl0apVK/r27duQpw2rpMxky7KFF2CfUmotsBLzXPxdwLaKPliCyPmt3n6ySL2UwOx0ln8/iw7Jhzj03HOcvvVW4Mop7NZpwwZaO6tC1Y0J4Twe+DCODYcvlni824VjLFsxBXdt4sCbr+PXtWvh2pOOHTvSq1evxrQ+q0ISEw1XaWt5A3LS+XjVDHqdPczBF17gzM03A1eKlHbv3p1u3brJtGEpyvurcYvNv88Bwy3/vgA0yNXQjUl8UgrL467U1QpKO8dnK6fSMeM8+6ZP5+LQocCVY0eio6Mb87ShlcREAzBvbUKpiVbv0wf4ZNV0jJ6eHHpjMdmdOhV2IpGRkYSGhjb23//SSEw0QKWt0WqXfp7PVkylU/o59s+cwcWrrwaulD6x1lcUpSsz2dJaP1ybDRG1Z3lcMtO/u7JPIfx8Ip+unIa3sYA9CxeSFhVVOPfu6enZqI4dKY/ERMPw2ebjJR4blLSL/1s9C0PzZhx+fSG5bdqQnZ2N0WiUTqQcEhMNT2lrtLpeOM6nK6fRpCCXn6fNx/fq6MKp9aZNmzJgwIDGXvqkQhWO9SmlgpRSa5RS55VS55RSq5VSQbXROFHzrEfy5FsOmh6UtIsVX8RgcHHlsymLSIuKwmg0kpqaSsuWLRkxYoQkWsVITNRfoxauL7FG67rDW/hk1XTy2rRh39tvktO6Nenp6bi5uTF8+HBJtOwgMdEwzFubwKRiR7b1O7mXVV9MwA3Nunmv43t1NAaDgZSUFDp27MjQoUMl0bKDPROrHwPfAe2A9pjPvPrYkY0SjjP/pyuLHW9O2MCnK6dxxr8FE59eSI/BYeTl5ZGenk5ERAQDBw5sbOe72Utioh7qPePnErsOb93/G+9/M5e8sC7sf2sxec2akZaWRrNmzRg+fDj+/v511Np6R2Kinnv2yx28tyGxyO706w5vYdmKqWT5B3D0gyU07x1mKX2SSZ8+fYiOjpY1jHayJ9lqqbX+WGttsNw+AVo6uF2ihsUnpdB31i+k5RgAePiPb3n7uwXsaNeNl/62gIeu70hmZiYFBQUMHjxYFjmWT2Kinuk/ex2plt99q/t2rGXx94vIiIpi18KF5Pn6kpKSQqdOnRg0aJBcaFSOxEQ9Nm9tQompw7G7fub9NXM52S6EYx8sIad1azIyMtBaM2zYMIKDg2UNYyXYk5JeVEqNA/5luX8vcMlxTRI1LT4phTvf3QSA0iYm/P4pT8St5qeug1j6wHieG9yU1NRUmXu3n8REPXLb2xu5kFm0mPkTW1YR8/un7IkcQMr8meQqRVZ6Or169aJz587SiVSexEQ9ddvbG9l50uZcXK15astKxm/4nC2hfSh4czYFnp6kW0Z8+/fv3xjOv61x9iRbjwBvA69j3tK7yfKYqAfik1K45/3NALgbC5j/45vcse83Po8ezTu3PMGsgd6FV/Oyrd1uEhP1RImCpVrz0obP+PuWVWyKHk7BgslkFxRQUFAgC+GrR2KiHrp63q+cTM0tvK+0iam/LuXh+B9Y12skHq9NpABIT02lS5cuREZG4mopcC0qp8KeVWudDNxaC20RNcy2TkqTvGze/eYVhh3fwatD72fJoLGMj3AlMzNTjh2pJImJ+iF88o/kGK4shlfaxPR/v8+D22P5Y8Ro8ic/T0Z2Nu7u7gwfPryxF+qtFomJ+qd4ouVhKGBR7EJuPrCRlUNup9XMp8nJzyc3N7exnxhSI2QYo4GyHRpukZXCR1/NIOJcIi/96R/ERl/P8z00wX6agQPl2BHRsJR2oLSryciCtYu5c99vfD9yDL6TnyQtPZ2AgAAGDhwo0yKiURm1cH2RRKtJXjbvr5nD1Um7eOv6R4h6+X45mqqGSbLVANlOnXRMOcNnK6fSOvMyj905hfju/Xmln6FwfZYcOyIaEtv1iVYehgLe+m4+Nxzewjsj76f7pAdJSU0lKCiIPn36yNS5aFTmrU0oMrXeIiuFj1dNJ/z8MRaNfYHoJ24iNTVVjqaqYfJXpoGxTbQizx7h41XTcdUm/nLPHA527M7s6DyCgmR9lmiYiida3vm5LP16NkOTdvLqjX8j+oUxpKal0a1bN8LDw2XHrWh03rc5gqdD6lk+XzGFVlmXWfjXafS7e0hh/azevXtLH1GDKvw/qZTqBwzFXD8lB9gL/FtrfdnBbROVdNvbGwsTrWGJ8bz7zSukePvzwNiZpLYLYk7vfKKietKlSxeZe68GiQnnFBITW+S+f24mH6+aTu8zh3j33ufp9dANZGRkyPoTB5CYqB+6vBxbOL3e49xRPlk1DTejkSmPvcINf+5Beno6kZGRhIWFSXzUsDIv65RSDymltgMvA97AQcynuF8NrFNKfaqU6lg7zRQV6T97XeEardv3/ocPV88kKbAtt9//GsaOQczsrxkyZIic71YNEhPOKyQmtsgarRZZKXz5r5eJOnuE316aQvD915GXl8fgwYOlPlANkpioH+KTUgiOicVycAiDknbz5fIY8l3cefShBVx7Uzfy8vK46qqr6Nq1q8SHA5Q3stUEGKK1zintSaVUbyAMSC7teVF7+s9eZ64jpDWPb/2aies/5n+devLE7ZMIbObJ1MFeDBw4EF9f37puan0nMeGEuk5aWyTRapd+ns9XTKFd+kV+nTwbY/8euCnFsGHDZMdhzZOYcHK2u9IBRh/YyOs/vMbxwHY8eNdM7h0SiJubG1dffbWcmOBA5R1EvQRAKdVCa32xlOd3OrJhwj4PfBjHhcx8lDYx+T8f8ugf3/J996G8cNPzBDZRLBjVmj59+uDh4VHXTa33JCacT+eYWGxPOgy5fIplX07CLy+bt5+dQ9c+ofg3acLAgQNloa8DSEw4t+IFS8dtj2XmuveIbx/Oo2OmcmO4F307mQuVyokJjlVmsqWUuhnz2VYGpZQRGKu13lTW60Xtm7c2gQ2HL+JhKGBh7CJuOfBfPup7K7Ou/Su+biY+vjuM7t27yyLgGiIx4VyCi63R6n7+GJ+vmIKLNjH3mfkMHNyeVq1a0a9fP9zd3euolQ2bxITzKpzxANCa5zZ+wT83fcm60IE8fet4/tZTMbJnR3r27CmFSmtBedOIc4GhWusDSqmBwAJgeO00S1TEesXil5fF+1/PYXDybuaOeJilA+6gtbeRrx7tQ1BQkMy91yyJCScROfWnIvejTx3gk1XTyPLwJuaRWdw2uBXBwcHSkTiexIQTsi3o62oyMuuXd/jLrp/5suf1TLrh77w2yEhUVJRslqpF5SVbBq31AQCtdZxSyq+W2iQq0OVl80LHlpmX+XTVNMIuJvPszS/wTY8R+LkpfvrnMAIDA+u6mQ1RtWJCKdUB+AxoA5iApVrrN2q+mQ3bbW9vJDPfWHh/8PGdfPD1bM77BvLIvXN4ZlhTevToIQt9a4f0E07GNtHyNOTz5ncLuOHwFt4adDcLh47jras1/fvL0VS1rbxkq5VS6vmy7mutFzmuWaIs1kSr86WTfLZyKoE56TwyZhr/DYnGBUXcxJGyNsVxqhsTBuAFrfV2S6cUr5Rap7Xe74jGNkTFjxgZdXgLb387j2OB7Xn8L7N5fqQvffr0oWNH2QBXS6SfcCJXz/u1MNHyz83kg9Wz6H9yP9Ou+xuf9R3N+yPdGTRokCyErwPlJVsfAH7l3Be1rPeMnzFq85TJh6tnYlKKe+59hT1tQwHFl49JtV8Hq1ZMaK3PAGcs/85QSiUA7QFJtuxQPNG6bd9vvBb7OnvbhPL3e2cQM8K8EL5Vq1Z12MpGp1oxIaO9NeeBD+MK46NVxiU+XTWNLpdO8o9bX2Jt+GA+HW2uCO/l5VXHLW2cytuNOKM6HyxBVLOsdYSuObKVJd/O55xvMx4cO4OkwLaAYvUTg+gb3Kyum9mgVTcmbCmlgoFoIK6mPrMhe/bLHUUSrXHbY5m97l02dezJY3dM4rXr/Bg8eLCUdqhlNRATMtpbAyKn/lQ4tW6d9QjIzeDhu6azJTiSlWPaS0X4OlZeUdPJSqkyF/4opa6x7EQpizWIwoGrgL8rpSKq3tTGK9iSaN21+xeWfj2bwy06cOe4V0kKbEunQE+Oz7tJEq1aUAMxYX2dL7AaeFZrnV7K848rpf5QSv1x4cKF6jW6gfhm5+nCfz+5ZRWz173LutABPHzXFN68uTnDhw+XRKsOVDcmtNZntNbbLf/OAKyjvcJOoRNjCxOtXqcP8tUX4/E05HP3va+wOTiS2Ie60bdvX0m06lh5//f3AD8opXKB7cAFwAtzgbrewL8x70QplUyZ1IzgmFjQmqc3r+DF/y5jQ3A0T9z+MtkePjT3ceP3CaPquomNSbViAkAp5Y450fpCa/11aa/RWi8FlgL069dPl/aaxqSwxIPWTPj9U56M+4pvw4fzwk3P8PGtrRgwYIDUCKo71Y4JKxntrTzb8ifWI9ouNgnggbEzSQpsxcan+xIUFFSHLRRW5U0jfgt8q5QKA4YAbYF0YBnweFkVg0sjQVQ1wTGxuJiMzPj3+9y/Yy1f9xjJhD89Q4GrBwqIn3pDXTexUaluTCjz1rgPgQRZOGwfa2eitImZ697j/h1r+aL3jUwZ9Tgr7goiOjpartjrUE31E+WN9iqlHgceB2Tjgw3bROvP+37jtbWLOdSiEw/dNYMLvoHEv3QVzZs3r8MWClsV/pXSWh8GDlf1C+yZMkECqYTgmFg8C/J444fXuPHQZt4beCfzhz+AVq54uSkOzB5d101stKoRE0OA+4E9SilrZe2JWuu1Nda4BsTambgZDby6djG371/PewPvZN7wB3n1hrb07dtHCvY6ier0ExWN9spIb0m2idajW9cw5bcP2dSxJ4/fMYlMzybsnTxcjmdzMuVVkHcDHgVux3ySuwZOA98CH2qtCyr6cJkyqZrgmFj8czP5v9Uz6XcygRnXPsbH/W4FFC183flj8vV13cRGqboxobXeCEjhJztYOxNPQz5vfbeA6w9vYcGwB3jnqjGM7dmcMSP7Sg0tJ1DdmJDR3sqznVaPWf8xT2z9mthuQ3ju5hfId/Pg4IzrZFrdCZU3svU5kApMB05aHgsCHsQ8RHx3eR8sQVQ1wTGxtE2/wCerphGccpp/3PoSP4QPBRSuCkm06la1YkLYx9qZ+OTnsPTr2VydtIspo57g8z430b+DLwvuG1zHLRQ2qhsTMtpbCbajvfN+eosxe3/ls+ibmH7dY5hc3Dg650Y5McFJlZds9dFadyv22Elgi1LqkB2fLUFUScExsYRdSOLTVdPwy8viobtmsLlTT0Dh5gJH5t5U101s7KobE6IC1s7EPzeTT1ZNo+eZwzx30/OsiRzJwE7+rHhyWB23UBRTrZiQ0V77WWPDOz+XJd/O45rEP1h49X28NfhulHLh2CujZbTXiZWXbKUope4CVmutTQBKKRfgLiClog+WIKqc4JhY+p3cx4dfzSTX3ZOx980noVVnADxcFYfmyBotJ1CtmBDls3YmLTNT+GzlFDpfPsnfb4vh566D8XJVkmg5J4mJWmCNjYCcdD76aga9zhwm5oan+bL3DYDi2Dy5EHd25a0uvQcYA5xTSh2yXKWcBe6wPCdqSHBMLDcc2sQXX07mYpNA7hz3amGiBUii5TwkJhzE2pm0TzvPyuXj6ZR6hkfvnMrPXc1ThgckBpyVxISDWWOjXfp5vlo2nh7nEnnytpjCROu4JFr1QnmlH45jmW9XSjUHlNb6Yi21q1HoOmkt+UbNfTvWMnPde+xuE8YjY6aS4mMuzugCJEogOQ2JiZq3PC6ZiWv2AObK15+vmIJffjbjxs5ie5C5BrJ0Js5LYsKxrIlW2IUkPls5lSYFudx/90y2dogCJDbqE7sK1GitL9neV0qN0lqvc0yTGgdrsdLnNn7BPzd9ya9d+vP0rRPI8TCfW+Xr4cremTfWcStFWSQmqm/e2gTe25AIQMS5RD5bOQWAe+6dy/7WXQDpTOoTiYmaY3sOaN+T+/noqxnkunty133zONgyBJDYqG+qWg3wQ0CKYlVRcEwsriYjc35ewj27f2FF1Cgm3vg0RhfzLpKWvh5smyyV4esZiYlKiE9KKUy0+pxM4JOvppPp4c24u2eR2LwDIJ1JAyAxUQW2NbSuPRLHkm/nc8q/JQ+OncHJpm0AiY36qLw6W9+V9RQgZWmrKDgmFq+CXN7+dj7XHd3GG4Pv4fWr/wLKvHxuWFgLPnt0YB23UpRGYqLm3PnuJgCGHN/JB1/P4pxvM8bdPZtTTVvjquDoK9KZ1AcSEzXLNtG6a/cvvPLT2+xtE8ojY6Zy2SdAdqXXY+WNbA0FxgGZxR5XwACHtagBC46JJTA7jQ9Xz6T36UNMvv4plkVfWfg79/Yo/jJQLgSdmMREDbB2KNcf2sxb380nsVkQD4ydyQXfZjwxrDMxo8PruIWiEiQmaohtsdKntqxi/IbP+D2kD0/eFkO2hw+uShKt+qy8ZGsLkK21/r34E0qpg45rUsPTf/Y6LmTmE5R2jk9XTiMo7RxP3vYyP3e7UpxRhmCgRsUAABl4SURBVIXrBYmJarJ2KLfv/Q+vrl3MnjZhPHTXNNK8/SUG6ieJiRpgewbo1F8/4OH471kTMYLxo/9BgasHQQFebIy5to5bKaqjvN2IfyrnOSl4YydrEIWfT+STVdPxKshj3N2z2NYhsvA10snUDxIT1WONhfu3/8Csde/xv049eeyOyWR7+DAsrEUdt05UhcRE9VnjwsNQwGtrX+fWhA180P825o58BK1cpH9oIKq6QF7YwRpEg5J28/7Xs8n09GHMfQs43LITIKUdRONh3X1rnR5ZFzqQp/88njw3T4ICvGSdomiUrH1Ek7xs3lszl6FJO5k74mGWDrwTkAvxhqTCZEsplYH5cFFbacAfwAta60RHNKy+swbRTQn/ZVHsQpIC2vHg2Omc8W8FSKJVn0lM2C8+KcW8GF5rYn7/hCfiVrMmYgQvjX4Wg6sbLX09ZHqkAZCYqDxrH9E8K5WPv5pOxLlEnr/pOb6ONMeDJFoNiz0jW4swn+K+HPOix3uANsBB4CNghKMaV19Zg+ihP75j6q8f8EdQOH+9cwrpXn4AhLVswroXRtRhC0U1SUzYwZpouZiMzFr3Lvft/Illvf/ElOufRCsXArzdpMRJwyExUQnWPqJD6lk+WzmFNhmX+eudU1jfpT8giVZDZE+ydaPW2naMf6lSaovWeqZSaqKjGlZfBcfEorSJCb9/yhNxq/mp6yD+efOL5Ll7AhJEDYTERAV6z/iZ1BwDbkYDr619ndv2/867A8cwf/iDYDksd+e0G+q4laIGSUzYyZpoRZxL5NNVU3EzGvnLPbPZ0d68C1f6iIapvLMRrUxKqbFKKRfLbazNc8WHjRu14JhYc+cS+zpPxK3m8+jRPPXnGEm0Gh6JiXIEx8SSmmPA05DPu9/M5bb9vzN/+APMH/FQYaIlsdDgSEzYwXYd74rlE8h3cWfMffMl0WoE7BnZug94A3jHcn8zME4p5Q087aiG1ScPfBjHhsMX8cnP4d1vXmH4se28OvR+lgwaK51LwyQxUQbbBb8ffD2bwcm7mTzqCZb1uRkAbzcXEmaXuYFN1F8SExWwxsafDmxk8Q+vcTywHQ/eNYOz/i0B6SMaugqTLcvCxlvKeHpjzTan/rFd5PjRVzPoce4o42/8Byt7XV/4GgmihkVionTWWGiak8Enq6YTdfYwz978PN/0uAaQOGjIJCbKZ42NcTvWMvOXd4lvH86jY66s45XYaPgqnEZUSgUppdYopc4rpc4ppVYrpYJqo3HOzhpAHVPOsHrZS3S9mMzjd0yWRKuBk5goyRoLLTNT+PJfLxNx/ihP3RYjiVYjITFRut4zfi4se/Lcf79g9i/v8Gtof+6/e6YkWo2MPWu2Pga+A9oB7YHvLY81atbOJfLsEVYvewn/vCz+cs9s/hNqPqHC202K0TVgEhM2rLEQlHaOVV+Mp2PqWR4ZM41fuppPSJA4aBQkJoqxrl10MRmZ+/MS/rnpX6yIGsUTt08i190LkNhoTOxJtlpqrT/WWhsst0+Alg5ul1Ozdi5Dj21nxfIY8tw8iixy7B3UVNalNGwSExbWWOhy6QQr/7+9+45zoszjOP750aWLoCgIUURP8Dw4EOTs7QRR4KQsTUBU1LM3jArsUqQIdlDkFAFRpIsQDxD0RMXzAAuCCAInSm9SVDrP/ZFJzC577C5sNtmd7/v1yovJPE8mT+J+nd/MZGbefJQT9+zippS+fBqoC2hl4iPKRIxILoof3M9L0wbS/uuZDG3Uhkeb3MuhQoUBZcNvsvMD+a1m1hEY5z1vB2yL35CSWyRELZZ+yOD3nuP7itXo0iqVzWXCtxtRgHxBmeD3LNTetIrRE3rhMNq2H8Cyk88ElAWfUSY8Zz0ezkXZvb/wjyn9uOCnpaRe3Y3R9ZpF+ygb/pOdPVtdgTbARmAD0Mqb5zuRY++3fT6F52Y8zYKqtUlpP1CFlv8cUybMbKT3m5YlcR5f3EUKrXprv2XcuMfZV7gYbToMVKHlX1pPAC2GfsLBw3Dy7m2MfytI3XXfcd8ND0cLrZqVSikbPpWdsxF/BJpl1S8jMxsJXA9sds6dl1X/ZBe5WGmPD17jloXTmPGHS3iw6YPsL1IU0MrFT441E8AoYCgwJlcHlMdiD6O/MvVJNpY+iY5t+7K+7CmAsuBHWk/AxQPnsnbHXs7Yvo43xvek/N7d3Nw6VYfUBThKsWVmL3KUi9E55+7NYtmjKAArFgivXIodPMDToWe44buPGVmvGX2vuhVn4R2DCpE/HG8mnHPzzCyQy8PKU5FC69rl83lh+lOsrlCVm1L6sLVUBUBZ8ButJ8IiuTh/wwpen5iGM6Ntu/4sqVwTUC7k6Hu2Fh7PggvCigXCISq97zdemdqPi9YsDt+RvcGNulipPx1XJrLLzLoB3QCqVauWF2+ZLZEVSstv5vLUP5/n61Nr0qV1b3aVKA0oCz7l+/VEJBeXrl7Ey+8MYFvJcnRq04cfKlQBlAsJ+7/FlnNudMZ5ZlbZObcxNweQrCsWCIeo0i/bGT0xlZpbf+SBpg8y9bwro+0Kkb/kVSaccyOAEQD169dPiludRFYonRZNp8+cV/ik+p/odmMPfit2AqAs+FVeZCLZ1xEAzZd+yBDvhKnOrfuwpfSJgHIhv8vOD+RjvZfbA3DOjXDO1XfO1a9UKXnOFA4EQ5y5bS1Txj5C9Z83cEvLXiq0JDO5nolkEzkx5K754+kz5xVm17yQW1qlqtCS/ydXM5HM6wiAWxa8w/MznmZh1VqktB+oQksylZ1LP8SyuIwiyQSCIeqsX87ISb05bEbbdgP45tSa0XaFSGIU6ExECq3H/vU6t/9nClNqX0H3JvdxsHD4fx3KgmSiQGcCfs9F8KNR3PH5ZELnXMSD1z/EviLFAOVCjpTTYusfcRlFkmgx9BO+WruTK1Yt4KV3BrKpdAU6t+nNmhNPi/ZRiCSDbGfCzMYBlwMVzWwtkOqcey1eAztegWCIQocP0W/2y7T/eiZj6jYl9ZrbdWKIZKVArycCwRBFDh1k4MwXabVkLmPqNiXt6m4c1sVK5ShyVGw5517KuldYflyxALRePJsBM4fy7Sln0rVVKltLnRjtoxBJRjnJhHOuXTzHkpsiK5RnQs/QbNk8hl3YmsGXdtKJIZKlgr6eKHFgL8OmDeKqVQt4+uIOvPiXtsqFZCmne7ayLb+tWHCOuz6bwCMfv8G8QF3ubPEYvxYvGe2jEIlfBIIhih/Yx0vTBnLVqgUMvKwLwy9sFW1XFiS35Lf1RPk9uxg5qTd/2vA9j117N+PqNI62KxdyNHErtvKLyKGStDkj6PRliCm1r+DRJvdyoHDRaB+FSPwiEAxRat9vvDqlLw1/XEKPv/6dsXWvi7YrC+JHgWCIU3dtYcyEXlTbsZG/twgyy7vROigXkjVfF1uBYIjiB/fz3PQhNFkxn+ENWzLoss7R36SAQiT+EdlyHzUxlfM2ruKB6x9kWu0rou3KgvhRIBii5pY1jJ6YSun9e7gppS//Of33i90rF5Idvi22AsFQ+Eahk/vScO1S+lx5GyMvaB5tV4DETyLXlHtjfE/O+Hk9d/ztCebUbBhtVx7EbyK/4/3z2mWMnNybfUWK0ab9QL47+YxoH+VCssuXxVYgGKLyrq2MntiLwM/rubtZd2ace2m0XQESPwkEQ1TduYmxb/eg0q8/c3OrVOYH6kTblQfxm0ihddXKzxk2bRDrylaic5s+rC13SrSPciE54btiK3aXcJl9v9KldW8+q/6naLsCJH4SCIaosfUnxo7vQckDe+mY0o8vq/wh2q48iN/8fmb6+wyY+SJLKtega6s0tpcsF+2jXEhO+arYCgRD1F+7lNcm9WFfkWKktB/Et6ecGW1XgMRPAsEQtTeuZMyEXhwuVIgUHSIRn4ucmf73f0+k+7wxzAvU5Y6/PR69W0Jhg1UDlAvJOd8UW4FgiL+u+IwXpg/WLmHxvciGx8iJvdlVohQdU/pFb5wLyoP4TyAYwtxhes59la6L3mVqrcvpft190TPTJ9/5F+pVPzGLpYhkrsAXW5Fdwh2+fI8+7w9nceWadG3Vi5+1S1h8KhAMcenqRbwytT/ry1bkppS+rC97crRdeRC/CQRDFD10gCGh52i+7CNerd+cJ6+8RXdLkFxToIutyC7hBz55k/vmv83cGhdwd7NH2VOsRLSPQiR+EgiGaLz8U154dzDfV6xGpzZ92FaqfLRdeRC/iVxbbvjU/lyy5iv6X34zIxrcqKvCS64qsMVWIBii8OFDPDlrGG0Xz2b8H6/h8cZ3c8i7fxUoROIvgWCIVt/MYdA/X+DL086ha6tUdpUoHW1XHsRvAsEQJ/26g9cnpVFr02oeuu4BJv/xqmi7MiG5pUAWW5H7Vw2dNoirVy3ghUYpPHNJx+iWCihE4i+BYIguC98lbe4I5gXqcvvfntAeXvG1QDBE1R0beWNCTyrv3s5tLXvyYY0Lou3KhOSmAldsxd6/qs76FUfcbgQUIvGXwKMzuGf+2zz0yZvMPLsR997Qnf1FdDsq8a9AMEStTasZNTGVoocO0r7tk7rkicRVgSq2IhdnHD0hlao7N3Fni8eYdY7uXyX+FPnN4uMfjqTbgqlMrn0F3a+7X4fSxdcCwRAX/riYEZP7sbt4Kdq17c+qiqdH25UJiYcCU2wFgiHO3byaURPTKHFgHx1T+rJA968Sn4rcYP3JWcNot3g2o//clLSrb9d9P8XXIieIPD99MGvKn0anNn3YWLZitF2ZkHgpEMVWIBii0ZrFvDKlH78WO4HWHQaxolIg2q4AiZ9ETmN/ZsYz3PDdxwxt1IYhl9yk3yyKb8VeAqjv7JdZVOVcbm3Zk50nlIn2USYknvJ9sRUIhmi67GOeCT3NmvKn0blNbzaUrRRtV4DETwLBEMUP7OPldwZw5eqFDLi8C680bJWujzIhfhI5nH7/p29x/6fjeP+sBtzTrDt7i+oEEck7+brYCgRDdF40ndQ5I1hY9VxubdlLp7KLbwWCIUrv+41XJ/ehwU9Lefzau3irTpN0fZQJ8ZPI4fS+779Mh69m6hJAkjD5stiKbKk8+tFo7vx8EjPPbsR91z/MvqLFo30UIPGTyFm4oyekUnvTKu6/4WHerXVZtF15EL8JBEMUP7if56YPocmK+Qy7sDWDL+2kw+mSEPmu2AoEQxQ5dJBBM1+g5ZIPGFunCb2uuYPD2lIRnwoEQ5y8extjx/ek+o4N3H7jE8w9q2G0XXkQvwkEQ5Td+wsjpvTjwp+WkHZVN0bVb5auj3IheSlfFVuBYIiS+/fw8jsDuOy/XzDkko4MbZSiLRXxrciFGd8c34OTfttJl9a9+az6+dF25UH8JhAMUemX7YyZ0Isa29Zyzw2PMF17eSXBCmXd5diZWWMzW25mK80seDzLitxWYdy4x7noh6/o3vhehv6lrQotyVdyOxNnbf2RSW92p9zeX+iY0k+FluQ7uZ2JM7avY8rYRzh95yZubp2mQkuSQtz2bJlZYWAYcA2wFlhgZu86577N6bICwRDVft7A6Im9qLx7O91u7MEHZzVI10chkmSX25k4b+NKxkzoxaFChUhpP5DlutyJ5DO5nYnzN6zg9YlpODPathvAkspnRduVCUmkeB5GbACsdM6tBjCzt4HmQI5CFFmpvD4xjSKHD+m2CpKf5VomGvy0hNcm9WZniTJ0aNuPNSeeFm1XJiQfybVMXPLfLxg+tT/bSpajU5s+/FChSrRdmZBEi+dhxCrATzHP13rz0jGzbma20MwWbtmy5cilOEfqnBHsK1KMVh2fUqEl+VmuZMLcYXq/P5zNpU+idYdBKrQkP8syE1muI4Cihw7Qb/ZLrDnxVFp2HKJCS5JOPPdsWSbz3BEznBsBjACoX7/+Ee2YcVfzRwHYXOak6GwFSPKhXMmEs0Lc2rIXe4sUY1up8tH5yoTkQ1lmIst1BHCgcFE6t+7NtlLl2V28VHS+MiHJIp57ttYCp8c8rwqsz+lCfhjYlM1lTlKhJQVBrmViXbmTVWhJQZBrmfihQhUVWpK04rlnawFQ08zOANYBbYH2x7IghUYKCGVCJD1lQnwhbsWWc+6gmd0NzAIKAyOdc0vj9X4iyU6ZEElPmRC/iOtFTZ1z7wHvxfM9RPITZUIkPWVC/CCuFzUVERER8TsVWyIiIiJxZM5leiZtQpjZFmDN/2muCGzNw+EkG79/fsj772Crc65xHr7fEZSJo/L75wefZSKLPID+Jvz++SFJM5FUxdbRmNlC51z9RI8jUfz++UHfQUZ+/z78/vlB30FGfv8+/P75IXm/Ax1GFBEREYkjFVsiIiIicZSfiq0RiR5Agvn984O+g4z8/n34/fODvoOM/P59+P3zQ5J+B/nmN1siIiIi+VF+2rMlIiIiku8kfbFlZo3NbLmZrTSzYKLHk9fM7HQz+9DMlpnZUjO7L9FjSgQzK2xmX5rZjESPJdGUCWUClIlYyoQyAcmdiaQutsysMDAMaALUAtqZWa3EjirPHQQecs6dC1wI3OXD7wDgPmBZogeRaMoEoExEKBMoEx5lIixpM5HUxRbQAFjpnFvtnNsPvA00T/CY8pRzboNz7gtvejfhP6QqiR1V3jKzqkBT4NVEjyUJKBPKhDKRnjKhTCR9JpK92KoC/BTzfC0++wOKZWYBoC7weWJHkueeA7oDhxM9kCSgTMRQJpQJlIl0lInkzESyF1uWyTxfnj5pZqWBycD9zrldiR5PXjGz64HNzrlFiR5LklAmPMqEMuFRJjzKRPJmItmLrbXA6THPqwLrEzSWhDGzooQD9KZzbkqix5PHLgKamdkPhA8PXGlmYxM7pIRSJlAmUCZiKRMoEyR5JpL6OltmVgRYAVwFrAMWAO2dc0sTOrA8ZGYGjAa2O+fuT/R4EsnMLgceds5dn+ixJIoyoUzEUiaUCVAmYiVrJpJ6z5Zz7iBwNzCL8A/+JvgpQJ6LgJsIV+pfeY/rEj0oSQxlAlAmJIYyASgTSS+p92yJiIiI5HdJvWdLREREJL9TsSUiIiISRyq2REREROJIxZaIiIhIHKnYEhEREYkjFVvZYGZdzGzocbx+ppntyHgncjM7w8w+N7PvzWy8mRWLaWthZr286TQzW+edzrvEzJp58+82s5uPdVzx4H1Xp+XwNQEzWxKvMUnuUyayT5nwB2Ui+/yYCRVbeWMw4WugZDQIeNY5VxP4Gbglpq078FLM82edc3WA1sBIMysEjATujc+Qj1kXIEchEl9SJkTSUyYKMBVbOWRm1c1srpkt9v6t5s2vYWb/NrMFZtbHzH6JvMY5NxfYnWE5BlwJTPJmjQZaeG1nA/ucc1szvr9zbhlwEKjonPsN+MHMGmQyzkpmNtkbzwIzu8ib/0LMltC1ZjbPzAqZ2SgzG25mH5vZCgvfawozK2xmg71lLDaz22Peo7uZfWNmX5vZQDNrBdQH3vS2rk4ws3pm9pGZLTKzWWZ2qvfaet7rPgPuOpb/FpIclAllQtJTJpSJIzjn9MjiQbgKH+pNTwc6e9NdgXe86RlAO2/6DuCXDMu4HJgR87wisDLm+enAEm/6ZuDpmLY0wrcfAGhI+L5fkQvSPgE8lMmY3wIu9qarAcu86ZLAUuAKYDlQw5s/CphJuACvSfh+YyWAbkAPr09xYCFwBtAEmA+U9NoqeP/+C6jvTRf1+lTynqcAI73pxcBl3vTgyGfXI388lAllQg9lQpnI/qMIklONgBu96TeAp2Lmt/Cm3wKGZLGco92p/lRgS4a2B8ysI+EtnxTn/fUBm4E/ZLKsq4Fa4Q0jAMqaWRnn3G4zuw2YBzzgnFsV85oJzrnDwPdmttpb7l+B872tEYByhEN2NfC6C2814ZzbnskYzgHOA973xlEY2GBm5YDyzrmPvH5vEA6l5E/KhDIh6SkTykQ6KrYyYWZ3Abd5T7O6v9Sx3u9oK1DezIq48L29Yu9Uv4fwH2usZ51zmQWzhNc/o0JAI+dcZm1/BLZx5DHzjJ/FEQ77Pc65WbENZtY4k/4ZGbDUOdcow2vLZ+O1kkSUiXTPlQlRJtI/VyayoN9sZcI5N8w5V8d7rM/QPB9o6013AD7xpv8NtPSm25IFb4vjQyCyJdAZmOZNLwPOyuZwzwYyO0NjNuGbswJgZnW8f6sDDwF1gSZm1jDmNa294/I1gDMJ7z6eBdxpZkW9159tZqW85Xc1s5Le/AreMnYDZbzp5UAlM2vk9SlqZrWdczuAnWZ2sdevQzY/qySIMqFMSHrKhDKRI4k+jpkfHqQ/Fh8APiB8LHkuUM2bXxP4HPgPkAqsi3n9x4R39+4hfIz7Wm/+mV7/lcBEoLg3P3K8PHK8PQ3vWHwmY/uC8I8gM86vCIz3xvktMJzwFsQcoJnXpx7wDeGtnlHAs95YVwDXe30KAf29fksIB7+c1xb0lv0V0N+b15JweL4CTgDqEN4V/bX3mW6Lee+vgc+8z5dvj8X78aFMKBN6KBPKRPYfkf9Icpy8yn2Pc86ZWVvCP4JsfhzLex6Y7pybc5Q+dYEHnXOZnS6c0/cbRfiHmZOy6iuSHcqESHrKhH/pN1u5px4w1MK/8NtB+AyU49Gf8BklR1MR6Hmc7yMSL8qESHrKhE9pz5aIiIhIHOkH8iIiIiJxpGJLREREJI5UbImIiIjEkYotERERkThSsSUiIiISRyq2REREROLof1TWOY+SVG8aAAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "pl.figure(figsize=[10,3])\n", + "for ip in range(len(phenotype_names)):\n", + " plt = pl.subplot(1,3,ip+1)\n", + " lmx_plt.qqplot(pvalues_lmm[phenotype_names[ip]].values)\n", + " pl.title(phenotype_names[ip])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Here, we compare the results from the linear model with the results from the linear mixed-model" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "For comparison, we (re)fit a linear model." + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [], + "source": [ + "lm = qtl_test_lm(snps=snps.values,\n", + " pheno=phenotype_std,\n", + " covs=covs,\n", + " test=test)\n", + "pvalues_lm = lm.getPv() # 1xS vector of p-values (S=X.shape[1])\n", + "pvalues_lm = pd.DataFrame(data=pvalues_lm.T,\n", + " index=positions,\n", + " columns=pheno_df.columns)" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5,1,'LMM')" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "pl.figure(figsize=[12,12])\n", + "plt = pl.subplot(2,1,1)\n", + "lmx_plt.plot_manhattan(pd.DataFrame(dict(pv=pvalues_lm[phenotype_ID].values,chrom=chromosomes,pos=positions)))\n", + "pl.title('LM')\n", + "plt = pl.subplot(2,1,2)\n", + "lmx_plt.plot_manhattan(pd.DataFrame(dict(pv=pvalues_lmm[phenotype_ID].values,chrom=chromosomes,pos=positions)))\n", + "pl.title('LMM')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The _P_ value inflation is gone." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.12" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/Lecture-8-Multi-Trait-Linear-Mixed-Model.ipynb b/Lecture-9-Multi-Trait-Linear-Mixed-Model.ipynb similarity index 100% rename from Lecture-8-Multi-Trait-Linear-Mixed-Model.ipynb rename to Lecture-9-Multi-Trait-Linear-Mixed-Model.ipynb