{ "cells": [ { "cell_type": "markdown", "id": "43c8ded4-4871-47f6-9a36-09ab3f87cb27", "metadata": {}, "source": [ "# Homework 1 notes" ] }, { "cell_type": "markdown", "id": "154c4dc7-afe4-4835-9363-704a40741d6d", "metadata": {}, "source": [ "We download the file directly from the website using a custom function. In the homework, you\n", "were asked to create a directory (folder) for the homework, with subdirectories (subfolders)\n", "for `data` and `analysis`.\n", "\n", "In the code below, we are reading in the file directly, and the temporary file created here\n", "will be deleted by the operating system. When reading in the data file from a directory (folder),\n", "**you must use relative paths** and never use absolute paths." ] }, { "cell_type": "code", "execution_count": 1, "id": "5fdf944a-c818-4636-8bce-c90a5d978804", "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\t\n", "\t\n", "\n", "\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\n", "
A data.frame: 6 × 15
IDsexAgeBMISBPDBPFBGTCCrGFRUATimeshypertensionhyperglycemiadyslipidemia
<int><int><int><dbl><int><int><dbl><dbl><int><dbl><int><int><int><int><int>
1127924.35132836.204.6554116.1822841111
2128125.24136856.094.9795 57.6052082111
3128323.43120866.164.9266 89.8992303111
4128524.70144806.245.1550126.0931994211
5226327.27120735.374.0863100.0272471111
6226525.92120745.254.7474 81.5543262111
\n" ], "text/latex": [ "A data.frame: 6 × 15\n", "\\begin{tabular}{r|lllllllllllllll}\n", " & ID & sex & Age & BMI & SBP & DBP & FBG & TC & Cr & GFR & UA & Times & hypertension & hyperglycemia & dyslipidemia\\\\\n", " & & & & & & & & & & & & & & & \\\\\n", "\\hline\n", "\t1 & 1 & 2 & 79 & 24.35 & 132 & 83 & 6.20 & 4.65 & 54 & 116.182 & 284 & 1 & 1 & 1 & 1\\\\\n", "\t2 & 1 & 2 & 81 & 25.24 & 136 & 85 & 6.09 & 4.97 & 95 & 57.605 & 208 & 2 & 1 & 1 & 1\\\\\n", "\t3 & 1 & 2 & 83 & 23.43 & 120 & 86 & 6.16 & 4.92 & 66 & 89.899 & 230 & 3 & 1 & 1 & 1\\\\\n", "\t4 & 1 & 2 & 85 & 24.70 & 144 & 80 & 6.24 & 5.15 & 50 & 126.093 & 199 & 4 & 2 & 1 & 1\\\\\n", "\t5 & 2 & 2 & 63 & 27.27 & 120 & 73 & 5.37 & 4.08 & 63 & 100.027 & 247 & 1 & 1 & 1 & 1\\\\\n", "\t6 & 2 & 2 & 65 & 25.92 & 120 & 74 & 5.25 & 4.74 & 74 & 81.554 & 326 & 2 & 1 & 1 & 1\\\\\n", "\\end{tabular}\n" ], "text/markdown": [ "\n", "A data.frame: 6 × 15\n", "\n", "| | ID <int> | sex <int> | Age <int> | BMI <dbl> | SBP <int> | DBP <int> | FBG <dbl> | TC <dbl> | Cr <int> | GFR <dbl> | UA <int> | Times <int> | hypertension <int> | hyperglycemia <int> | dyslipidemia <int> |\n", "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", "| 1 | 1 | 2 | 79 | 24.35 | 132 | 83 | 6.20 | 4.65 | 54 | 116.182 | 284 | 1 | 1 | 1 | 1 |\n", "| 2 | 1 | 2 | 81 | 25.24 | 136 | 85 | 6.09 | 4.97 | 95 | 57.605 | 208 | 2 | 1 | 1 | 1 |\n", "| 3 | 1 | 2 | 83 | 23.43 | 120 | 86 | 6.16 | 4.92 | 66 | 89.899 | 230 | 3 | 1 | 1 | 1 |\n", "| 4 | 1 | 2 | 85 | 24.70 | 144 | 80 | 6.24 | 5.15 | 50 | 126.093 | 199 | 4 | 2 | 1 | 1 |\n", "| 5 | 2 | 2 | 63 | 27.27 | 120 | 73 | 5.37 | 4.08 | 63 | 100.027 | 247 | 1 | 1 | 1 | 1 |\n", "| 6 | 2 | 2 | 65 | 25.92 | 120 | 74 | 5.25 | 4.74 | 74 | 81.554 | 326 | 2 | 1 | 1 | 1 |\n", "\n" ], "text/plain": [ " ID sex Age BMI SBP DBP FBG TC Cr GFR UA Times hypertension\n", "1 1 2 79 24.35 132 83 6.20 4.65 54 116.182 284 1 1 \n", "2 1 2 81 25.24 136 85 6.09 4.97 95 57.605 208 2 1 \n", "3 1 2 83 23.43 120 86 6.16 4.92 66 89.899 230 3 1 \n", "4 1 2 85 24.70 144 80 6.24 5.15 50 126.093 199 4 2 \n", "5 2 2 63 27.27 120 73 5.37 4.08 63 100.027 247 1 1 \n", "6 2 2 65 25.92 120 74 5.25 4.74 74 81.554 326 2 1 \n", " hyperglycemia dyslipidemia\n", "1 1 1 \n", "2 1 1 \n", "3 1 1 \n", "4 1 1 \n", "5 1 1 \n", "6 1 1 " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# function to download a dryad data file given the fileid number and download filename\n", "dryadFileDownload <- function(filenum,filename,baseurl=\"https://datadryad.org/api/v2\")\n", "{\n", " download.file(paste(baseurl,\"/files/\",filenum,\"/download\",sep=\"\"),filename,mode=\"wb\")\n", "}\n", "## make a temporaty filename with csv extension\n", "tmpfile <- tempfile(fileext=\"csv\")\n", "## download that file\n", "dryadFileDownload(\"2545788\",tmpfile)\n", "## read in the file\n", "uric <- read.csv(tmpfile)\n", "# examine first few lines\n", "head(uric)" ] }, { "cell_type": "code", "execution_count": 2, "id": "bcaf9d34-02c8-446d-9703-dcf6c95df6f2", "metadata": {}, "outputs": [ { "data": { "text/html": [ "25744" ], "text/latex": [ "25744" ], "text/markdown": [ "25744" ], "text/plain": [ "[1] 25744" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nrow(uric)" ] }, { "cell_type": "markdown", "id": "6ded9da7-82b6-4afb-8b41-a3136f159cf0", "metadata": {}, "source": [ "We make a histogram of the systolic blood pressure. There are over 25K data points." ] }, { "cell_type": "code", "execution_count": 3, "id": "f3328f47-2682-4897-80d1-122c7994c18d", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "Plot with title “”" ] }, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "hist(uric$SBP,nclass=20,main=\"\",xlab=\"systolic blood pressure (mm of Hg)\")" ] }, { "cell_type": "markdown", "id": "15974723-1d33-4bfe-9631-744ec9731c2c", "metadata": {}, "source": [ "Making a scatterplot of the systolic and diastolic blood pressure. We do not see the\n", "detail in the middle of the plot, because a lot of points fall in the same place. A\n", "binning strategy is better (as with a histogram vs a dotplot)." ] }, { "cell_type": "code", "execution_count": 4, "id": "9a2930dd-4ac0-41f0-a051-ac3f29bb4e39", "metadata": {}, "outputs": [ { "data": { "image/png": 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NULJzekSMCYKriPdrTyGF+c/qHlEEKH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JQyuCZdw13KHyPKx0DTA0Y0GpvYfPOVHcjfgbdQfWer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iEeKTtJzPzp7/QvyXDmH5KgCFiF8IQHxk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\nxePn218p5n9IXDu07eJKtPtEWSAhFebtGH6yk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hI92lJKd2pXwvGJcCaYQnoXjG/SNlgUwDO4QrpkJFqZStgfWW6+bMR+d1bFjE+EMcEU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", "text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "plot(uric$DBP,uric$SBP,xlab=\"DBP\",ylab=\"SBP\")" ] }, { "cell_type": "code", "execution_count": 5, "id": "852401bd-00f7-4f8d-b37f-d819f0c65773", "metadata": {}, "outputs": [], "source": [ "# load hexbin package\n", "library(hexbin)" ] }, { "cell_type": "code", "execution_count": 6, "id": "4ac12656-f896-4346-9d92-e90478ccd600", "metadata": {}, "outputs": [ { "data": { "image/png": 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X8wa7E1rAx6yhJJxwpAsJ3olb4EJX+Q6gOGfCMJlCX8fWR9sJ36kZWdVwOBhHfS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gB0Rij0qkCeprJK7xYUKEYxL1ZQOIAyASe1QiXe73rR1X14VM4iBSvAGR2EOLdCiJ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\nwACIBAADIBIADIBIADAAIgHAgH8DBOSMf+SyLIMAAAAASUVORK5CYII=", "text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "gplot.hexbin(hexbin(uric$DBP,uric$SBP,xbins = 40),xlab=\"DBP\",ylab=\"SBP\")" ] }, { "cell_type": "markdown", "id": "b038fb35-beb0-4bb8-bcc5-3dc504c360d3", "metadata": {}, "source": [ "The hexbin plot is better, but it still suffers from the issue that there are a lot of points in the middle, and the detail is not showing. We use the square root of the counts to make the hexbin plot." ] }, { "cell_type": "code", "execution_count": 7, "id": "5d51b4d2-8960-4b28-96a1-cb15554730aa", "metadata": {}, "outputs": [ { "data": { "image/png": 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qsbJcZTpS6wQay6yYpzSpHT+vkpQWTynAKBufPxvbp4Dw0TKzx3VxTpgFzFpQy5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\nsgFrcjZ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"text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "hexbin(uric$DBP,uric$SBP,xbins = 40) |>\n", " gplot.hexbin(x=_,trans=sqrt,inv=\\(x) x^2,xlab=\"DBP\",ylab=\"SBP\")" ] }, { "cell_type": "markdown", "id": "84849b48-8716-4396-822a-792dd3d2e9a7", "metadata": {}, "source": [ "We now perform linear regression. Notice that the $R^2$ is about 21%. The residual\n", "standard error is 11.5, which means that the prediction error is approximately plus/minus 23 points." ] }, { "cell_type": "code", "execution_count": 8, "id": "d00d122f-d04f-4708-8e82-5c9b274a460d", "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "\n", "Call:\n", "lm(formula = SBP ~ DBP + sex, data = uric)\n", "\n", "Residuals:\n", " Min 1Q Median 3Q Max \n", "-39.104 -8.155 -0.391 7.279 78.782 \n", "\n", "Coefficients:\n", " Estimate Std. Error t value Pr(>|t|) \n", "(Intercept) 74.392595 0.722755 102.93 < 2e-16 ***\n", "DBP 0.690690 0.008391 82.31 < 2e-16 ***\n", "sex -0.400916 0.155392 -2.58 0.00988 ** \n", "---\n", "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", "\n", "Residual standard error: 11.58 on 25741 degrees of freedom\n", "Multiple R-squared: 0.2144,\tAdjusted R-squared: 0.2144 \n", "F-statistic: 3513 on 2 and 25741 DF, p-value: < 2.2e-16\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "( out1 <- lm(SBP~DBP+sex,data=uric) ) |> summary()" ] }, { "cell_type": "markdown", "id": "30d188b3-241f-4946-9fd6-2562129d05af", "metadata": {}, "source": [ "We can make a residual vs fitted plot, the usual as well as a hexbinned one." ] }, { "cell_type": "code", "execution_count": 9, "id": "bd18d1fe-733b-4160-8914-d2ec8e3514f2", "metadata": {}, "outputs": [ { "data": { "image/png": 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Ej5ny+bh/ecm/FRet9dCSBv89IANdIP\nieQRPnMZ8v/LAgsp33POzTS8cVFqVMYzKf/e1DWJUOAJ7cun44sYth7ZAQspv/PcqiX7x9hh\nNNvQNdE72yTb2OSwcqmha5I1WEj5ncF+vDfdArMvBq6J/plEVR05pjY10ND1yAZYSPmd4lP4\nNJbM+yiH+Y5zfapU7PE/Q9ciO2Ah5XecVwsZ860GrQdGJ1hI+Z0Sk/n0A1kg3sw/K1hI+Z3h\nPolc+pvFD+vB8COAhZT/eB/dtkbvnRqf51e2kWzgjhiFrgVcGEODhZSfeHDyNUJnHJzbD60v\nr6EJeny5qFH5Oq6SSQatGSYLsJDyDep59gDgt9W6HWvnvuOhCdqKknaO77/koQFrhskaLKR8\nwy/Gs+58udybtOXHRCeIuwauECYHYCHlF86Qh7jUU/6RP+Cw6ruu9+xk/ndQ+4HAQsov9KvC\np6Xlm/mMn64dpLJinRvTTSyyRVeRxz39FEVaX/uOm2C+goWUX4gYwKeNbXizQqLpd0zATpOO\nuRl/fRg9X3uR85bB0XsWVZfn9Q5cPwlYSPmFhr34dK3g573U+H2ur/WflF8St1j5RFuRhCIt\nOR++0SZ5Hs33pwALKb8wwYePBvSEcP0HoaTF8jm5v5ZmUwy121xtRf5Q8GHlkz1m5P4+mFSw\nkPILT4zGs0lCvWKRhI2/0vg7dIQ6thYy9ftqKzKunKZsy++4EUYDFlK+Yau82rwdU4vZ30D/\nxszZpzNcWVZ0byJkamrd72xkZSHTo/H33AkjgIVkaG7ErDzLrzi61s7HNHiQGEvHl9jxa5c+\nad/Kdo21sLg2dIQIN8RgIRmWu2Fg40q4HxH3qh9s+rCueikdXT5rK/LObCqX7qB0bQuCyS5Y\nSAblpXP4LYRe9ZSfEve6R1TlonfOKWn2t/Yi66ne5z5eGycfq7XE0z3Ljn/SehaTBiwkg9Lf\nl++DtQkV+cL/dfVXBfbU6aC3PxAA3LS6T3zqRBm50+YLRa7YjwoWkkFxFWZML8BTA9z9/Tnt\nAzJ19cKH1OhztEyrAR3zLVhIBoU+yKdxcNqwFcnAVuV/XLpIldfbGP8YYCEZFHPBr+4x5Lc4\n8a1a8GmS2WbDVqSAgIVkUOoIj+tvNnrewfLhyIgyHTfr2Hmoomb/shIz9VKhgg4WUt7zakCg\nzLVRpga0/1HcnhInTfX8tO4wDhg4sbmyllbrOKrTT8i4LdFPlQo4WEh5yN2o2u03oTtOxWbt\nWdGEzvSBXCINHRhVm+qh313p7sjHsDe849pNa5Ep7vz6wotwXU+VKthgIeUdTQjCiAYL/xqc\niXuxJNNh0K1htSv3PqbfiqHeZfh0L/1KW5E3Vl1Y14cnfvX1VKcCDhZSntESWsUjtF8Jl/jf\ny/5i2PqgL2dXH+DXTJSYxh9JVu7SWvqETZGeE1qblMFGu2yBhZRXvCEiuXQK8OlXN1EDsd6W\ncJJTHdm/rKew2x+y0+qLxzRGTYpYBYz4obe7EBEspLxiCvDdpvlyS/7A+PIGrA1Cq+mJ71Hy\nIY/KKQiFC6tx31Da//vXi5jX716JbhSfzeurl1W0tKywrEBsQZ4HYCHlFV1oPj1IyvhMfYPu\nUfnZku/OPVCtR2ieNe/SMNJRq9X9U6F6bBCWq4U6ZO/6SQ1NBm7ePMikwU/ahGEh5RUjCD7E\ncKJMyqUnqCy2cs9b9iiEfVg7Mj3NhGC/k2r0bhT9bViI5G1Dmg/bo2lRoh150/jxbEYFm27J\n2VJuWk0Tq8YFCyykvOI28LEXEqREy5Pvbs5UdTdodRYWFTLTQpgfb5oSKmfC4VsdPS2prNGt\nqqyisKKwfg/huNPybF3fTVixPrPQ99e1IIKFlGcUJzcxP2O9iPXlSADH3ww7elhrJ2RGVOKS\nR7tWnfl257KUkNLPmOS+f1X+9wo582x4Bxf4zEV48911LYhgIeUZca5gUdyVIhcz2YvPDF2b\nu8C5VqgP2Ycuyayztl3JV/Ffmt/PrGl7/niK1brsXP4lCAHyrsPPGZUICykP+TXUrmjTx4au\nhUATH6Ym90MoKtyN6voxw+k+EUKmNL/Sb7UZH6h1syxbAVtTLNbwmXXmKd9f1wIIFtLPwvty\nJu0mmhupDpwLp4HwSd/OtNbYFIXAQ0khJW4yDdgWk9HZu3xvH06csT49xaluQQMLKVd8ym/1\nezuqokPJPvd0FUla3bqQbNiTg7ImB+dJB8pGpT07KFzIFBd2CHxZgyxSwU4alc2h3Zui/tuf\nPd8e4PlzDpGwkHLBl3HuBOE2UrvntP657ewxeu2UUNWfuovV6ou+OPdjNGWydTd5Ps2pI4Ir\n4GnykubQ+UWjN2S/Y/q6gxxA3v51Dmqtk4S1vesN3Flg+olYSDnmc3mHX0+fnetcKv/UMTmw\nNuuAoB5grtUJlSN4Rmwfus7Qw8hrIarcL+25Ou5nmZ/HHNuhB7/P2a37OpmTdPOGKLOx7y59\nQOhuMbNGfSPkFQuKqx8WUo4Z48gF1H7pOlj0S7+9Eperzx2U8KayJDfdturqrZxV5n3D6Ujz\nzWhojbTnPjUn3CsVIju/7UBa+BsrxhnKWr+tGAD4b/euykrogV8tA1Ujp2Ah5RgnIRzIMmuR\n+x0rPQDI0hn3Lr/Rr5J/s3W6bjalpJDp3FznHcZRLaYHIHTFknyJBtZOf/ba0lErbqM6bscQ\nSllnMjInVReBlB2DGvSLSfqNHnz+7bn+pJJvim6QZ/Rcj1yChZRT3oMwuLgpcuSfKPm4i69O\ntqf/SHd8tSxs9JwOxtV0jMnGVBQyfXWvHhpF194heYn+MiWeopLDMi2yT3aLS7dJHmWz3uLw\nupyidp96qmIy3pGiDC3MvBUvIC5HP6GQXh3e9d939FvySkgXyN1cOsI2bVDGyzS34dg9Nx0u\nRqu5kA+P5nZzrpZZzPCnhy7wTgzhHb1VRq6BRDfLmCXS25leqntdIeOyONPzeUWV4qxwL1lQ\nNQexT2QjE6Hdr5a53vMdP52QXjUlJSoI+I7oV5qu3XJxu3YDKvBpvCrtBmPtq/PpLon2uPpv\nTH5DaL7MozJhbZ6+QUMnAkEKigGsNSJ4euLWjrJCY/7nUIpa/HJIKevi3e6kK123v5CplM4+\nnrccp9noX5uNzMj6VckeKaiXXR/+RJHf9FmN3POzCemTX+DxRHS7jfJsri/x3cYG9Z6hTQZu\nTm/g0uzYh0pPTnPcW9BtklSHbXspHbWAnj3PpE/SKFlaszY6Iut4LfntJufqjOzrsLOlDzsW\nJojgv67aFZu0eVZ54/1pi7duK2T89RqPZWxp5sdFyZQeDr3QCbMpaD/Juyj9SaVXej7lZxPS\neBd+ENuiVK4v8dX8HeUiV7jleJ+ud5Vl1XrUNi6eLp5wA+EVjIKmpznuogkqbLpdx0U3uwEF\nFjMYsTRIO0xK8eTduO+qViO02Iqf5llo/DHJuxG7zEM9OJ3FfIkN/6e/Seb+VZML+tdjfrSo\njRYrmyO0yDzxs9SW7TT8YdUvq0/mE342IflN4dMr8CDX1/gyzp0k3EZ+9ITCjes7Q0gOP17T\n9x7z82VYoKZNeju5XmDkr1H+/MDtdbqWJ0wYJDyBi7qu+hiW8LM4W1Rpjp8lhVF7z1rMfzsw\n+AajrVWK2WiPnNdUkuvsNOU/uzZgTfBPAtNZx/OYaf7MD6cV6J2E+XO+hnO97JoQzmWsJQP1\nHO8v1/xsQlLt5NNk4rsi97AuQg0Izk9zFuRsodEp8iaXvlRt4g9cdHDvN7unfWH5LK5iTb3T\ndvqibfjVrL09M7WQHI1q2m/NF4Qug+BTcBK+XR2BYmyFDLcg6Xl1onBpcwXT5o0vKxzv0Crt\nBa+52bUZ0di4TI5dfeJ3TZnyR3YXpqfnKvk/7p9zjZZXWbyf8Dc+hm6tmRijX8vh9/CzCclO\ncNZ8At/bc0mhBX/pUGWOPjcpWMg04AUY59KcffI/hrtJGq46OD/Y8lKa4h82OdrOiEeP+0gO\nxq0b3H3uPc2JxBtvmYe3IV2pe30zl02xzzULgmLM0nx+h4mgv1mBXHJp2eStbGcuqopQoGf6\nHfs+LexQtVtMjluCQw5GJUsaORzUWejTok41+2zLzEjTxe4A8p590q3+zbYeEogsICOjr/xs\nQqrHxgg+G2EBRB2dPaWsuQBCKKvonFV2kGYitFtTLlluzZu7n0rnRRaivbqn9W7baG5akqms\nKRQ5+JeDVc0mnhJ+f7Ar1SUAbvPbF7qKHjcgCSCb+PG7oqurNUtzgceEMMNbrVOa4yttBamU\nE8e+fF7Rj/ken/rLz+kodNXNtuXg+opKmezXntiLsneSEG3YfmUfH1GqpFd+NiEdo9ahLZLG\n0db16sl2f9eVjoIQhHgd5GjJ0cxiQqYGP47upHnwy2ay5dceekoCQrerqA6n3DXpxk7JbpQt\nY36eUtY7+OziVCX8hZ66lD360qFXKXt6aiLzJPcwTheHsok/Z01YQqVt6V6rfuXSfeR3vlAE\najXi00gdY6tPLo1YnTzwyXTa+P6GYZZl7iIUG0UfEKVKeuVnExL6la4sr93eqF4CGm6VyYsx\n+7yB8XymK5Gjz10n+SWot6X849K8i3CiViYbJxfjZ3WSQ7uiLmX5PtpU+xSU4sUbh0fAQdQ+\nmBmXdG8Q51fV1KpKeROn9GO/t0G2g1fPrp0hYvJyesit5HuzjIbkqPbaSJAIZvQDki9aC823\n510JL8HlzAv8VxZcvCX2O0Wpkn756YSEzpeT+TWNYR7KBNvshfXQhpMZN7J+pyiWVck0XAs1\nGsO0Mv8UEdwxh1YQThTOuKXXPeANE2iJMyos7J33jHkKT1K8k+pM85aLafc6Y5+PqYDWmr/b\nOGL8toyj/S9zqjkXb38+w/HtHgBgO18c59Snmpre1tE+N9X0Lotq3b3s4up5R7QrMR/z8wkJ\nddX0pep8XwzhY6T1xoS4Zab0tXuzOvVclD0r1303AAII18JEU2G59xnyJJdulmY0yJ8CQRd/\n0shkB59VU4fQCjc+v05pZApDB3hb1mz21WyXfZ4cvyuWj/dn8jif+YvU7sBeQ9P6lZ0g0m3z\nDz+hkLoIexKhet852XfAHNh3+t+zJN4tIp3MMvjmZEKskSw6/mkDGZg0/je1PlYbElDcAqNx\n6j8n9Zx94dvitzSzXWttkMc8PvsYrqLVznz+BSG7wTRQyR2Jeeg0GHTj5LLCxhbdS2sv01Ew\nEKrtV+R5ffTNTyikOe68+TXZ4bvdMi9MmXEDbZCsZbJJI2XZGLU3Ia+hC1aB092pMCPNiDop\nSkk7kmZzHpeWlWkcQLRN+Fpc7Sy4C9VuhnqWZKut3lxCWmvEPoKX4RWQbHWbjm4Ul09A472+\n99t8FwdotpOoXkDv115mh4KPX7RZaogdc/OWn1BIT414e9Vks9wui36xoHu3uakBtjwE7866\nkVl/0qwUSvBokcQoYPVAi9TO4Ifja/+OSwosw44uTjtqjA/o9cyWvhS7LCh5pOwyemTR+iOK\nryUlmw4qbuRVjZNbZ+gkVdEuZI2uEf+YLMjltxGJ5fKirVsXlS9Nc/DthJreNSdovG3V4Z5/\nI5SyXjUm48cLOj+hkNAqqvPBOwfa0pty+fkNxoUaNymsWMn/dh/4BTwoxjzrj9Id0HYj1lhI\nDEp0SevXvEbQ9TFS6PQdtSrcaagXmLZtWojrNp51U5V3oeRMD089XmrrN+9ITHvSCT1e5yeN\nXF7XXt7B0OHrH8/u2HFWWleEq47ug+cNdne8Kvz+sQVhW8JEPt7QVc0DfkYhocPlpSCrmHEp\navY4TrO+oerfhNmOc/CBP36MyNobQN4AjWIX4SXARNS6XZpTrTWuOoJ57olJb9ZXaI+ZV9d5\nvMQSdgwn+/PmuvLt+3rRNjVHm7Hb6sVEuBk7b8nlt8lLvnhEsha4L5FFUrurdzbO3PnSgFXK\nM35KITHjkke5d4asJAigRyiXsIN/jjU2WX/W24KPlTAO7qDOLdKcqqkxaZXn56eGBvBDub30\ny0e7157jNqLcoxCqPSOQ6fAxfUIT3gJxS74jl18mT4kx4Wfq3pvEGLgmec9PKqTvIIES3MlO\nELwBO4CPqKiu0DbrD++EOksdUtAx2gehkNFpTrXRtEhufItURnB0SDEuQxg7ggvrh7HJWiiz\n1J1PF0mmf0RJe10ivu0sXZ3YvHN0bsIAiU1/jTdUbUNvVpj3YCHllJeaFugu3OfSfZxvzocO\nptlxtOwNxpS/B2H5Bu2g0u5yvNaMf/aPkvx1igmTlvFSl7/V6PUQei9Cf5OCfWRQJeFTK6wJ\nJ6mk57fxHEaSIV1aumXLGp/HpM7YNetq0HroAyyknJIk3ctnjlLC1ONGM/NKpYzcTmXr47sL\nS0Ae8enfyYp0pquk4qXZpX6nHISHrrqw5nsywS/oG1BYjZJdhnP5Vzaphor4M6sPpml9FijZ\ntit5pOwqMjSTA4SM/xSD1kMfYCHlmNqCe2YrTauA3m8eM3l3grbyaThbyLJWBRkAOC1Lf+pp\nWWloIz+ivXCheTa8edxNwbvMPCPOI7SDjnqL1Cf9grTeLcW2Nz9JU7NltiqUl9yieAf5XdQt\nA9ck78FCyjHn5QOZntSXKGn2mqA0PLfk1gnEKDNbu6A+NLnXr6k+2l8CS1xm/j9ziM7CATO2\nZdruBE7GRBOhh/fwXnpD8lZXRqSu7IrDlQ7ZqVDK4VljYvJsPDXceOEH9GGB8Yi8ukH+AQsp\n5xywMylfwcw6N4OQIX682W2ZKuvI4S8jwM5PZuYQzf+aKOGMHAlnV+/mJ2ti+5kBqLrws50p\nv/eu2XnJ54V0K4i9NVY2GaG98mzU54a/tHgFS6OFufgq2UE9yxyswHzWDzhvlB4spFwQt3X8\n2N8zqeGL1UMm7kzU9ckgweUnjj6Sjfvc3Bj958fOwlLW7dK0qz5ig9zX3Lm3ybco2zq9La9s\nMLiFtZti4R34l2nxJP+iBW5Z3+CVQ90XzHhqAefklCfEn9tyLrfLzwsUWEjisUDhUKOssfs/\nOoq4rhAyVr9n96rXpNya2NtOfdIeH+7K9chifVnjRC1/tpWK9ac/I282rFfAxKSgXkLB2LGl\nTNwaHs/s2kN9+LHWRIeCEmMk34KFJBobJItTEPrQykJHxI6SwmLAj1SmD3ambFKEDJ7cXFEn\n3TIdx/nCaVUi+ofgTem9pJnNX4IAACAASURBVEvRbnryF9S2WSMbwTH0uXehiTuWtaBmZXJp\nfyEe8EvQtUAckw30LqSkl/ezFklBFJLahZ9BTQnRsWfdaE++CYi2yMrI927D8DFb+IHU3WE1\nSnfYkm6cEauJ3nIP7qOZ/nx+qEMbhDZamISakb6aRah1SnIuTBszi0Zvu1HIGH3fsvuckDC/\nvlf5vpnHSy7A6FdIXxaVkAKASeBs7eF3WfK9kBIzjoSugtASzfPQ/rm3jnWYDpl6nXz+t0dv\nrBi77l7aghtNratWNLU/rPVK8SAYDW8z9x0lWOI3ydhltx93TjD9RROp5z4hCCiiXfpLIOTN\n+8GjD0QuLJC5422IVe8F48sqst21LSDoVUhX7UDiV7FeJX8ZmGtZtc+jNyHd/ysX240nzfSX\nSopNSdemHCaFNmOnKuNHUrnhpwip4ST7douF2OaEa3lHqve32vyT85aI66PMbFb1cv/w8l0O\nFhXsFktsktEiVz4fr/BiBzvq/tap+3NtM2V+vGTqOsc/45V6hfJ1XmiWvVkwEWjoz/qsXgsh\nbSpPzOdvyxyhTyF9clMu4i1PsevN7XX9FfUjJPVCe6Z59MxpqI2EqtaTDh2eaheW1oJ9GQRN\nLtJpLks5MHXoqiffHonwYNuMA7bdvjkWzMcZRrUyWeMUTVccMbG+pLQFFyXhoeMI5oeE/xK3\npcYhs3dGlzc+lFp6k82jNlYgCVi1IJOFf/dVPVkF7VflOO5ybrkLbCTiGFl4oVpRLp75Zcd3\nEdCnkA7AmtT8QdC13al+hDRMOeNu4o1B9MqcfWyiLedj99gpKs3hFHu+mVGX18ygxrdxkpmX\n0N474zko5af9j5PX0ee7fJTVVyCY/n7P2LodpDhb9WlTX9MRu/aNta7MWpeHmW5i2pb/udd+\n1Ku4yq/LN15/Fwir0A1Xj45U+NbNcCmEjtnaNWpfghist4mejazb7V35VDSuLPpYrlKW5QsM\n+hTSLLiXmv9CztZeUD9CukTyTnOzTXIWnbfQHD5dZJs2YuhSGbtSML6n6j/+94cqwqdxBRUM\n1H25fppAcMXaBlAgq8raz67BC/7YacgQSqQaH4kLRdsuCFUpg2dx0ksZJTMtYUO2yRi2Qa10\n4kqshUzdCz4u7dVm8hXdNRST5WxzPSSYeRiKsztMXcryAwUF/bZIX+f9jhq+RRoqRL9Otlml\nu2BaPmhMxdch3fhqMu3VrLa1vSawXCEZF8ikGuiO4tusa9KYcu6VZ6Gi5JCTDw40YcPdvdAE\nzN+eMRyysbApxQO4jdRfpfxix8yY/zK5/A2QR56MvbfU2rmJ1m90ZMUhEfc83ts2qFRnbU/V\nEXZauQqj6U4Nmd9cMzgcFlj0OkZyNVrGL+H5vMnS9qOOknoRUqTGTF0lR9ulvtME2b4FT9Ke\nUS8IsXKuqtnC7AwIYX9UgTqv172KMVh4mII5wS/0G+DIjL38hc2SGmn6Y+qNzQLK92KajhTy\nCH/kQ/bmfn63vFiBALAYF60l/F7KeCOJq1QRJdKUbEpnadPpk+tSozM/negwgovG9Z/RBuY3\nn3ni3DQfoFer3WVrkBWv2qh6sBJMdYbc0YuQWnYUMmVyFmXNQfBMW22R9tlLbKhoPXNsFVoI\nQjKQEJqLqsY6L7eeMGKDN+6ngI9vF2fENDk76UXMsCVplPQcurPzz+foS4RRu9njKksWI+Sy\niP/cGSJbS7a3WJ4rCwCmo37VIqRBpqsTUGKMZY/UI2fnD1uaGiwMfczZRutzTLk3yR6plrXv\n2+mBD9tE7nCpwfx1YuX7cnTt/Ix+55E+/+ZPM/9VVeBM3QF89CKkWW78yP6NfE+OPje8EPcE\nvy2SLizeMHvOvWAFxf9Fu9LC8ca6vUcHQTDr63NfCYLRI5RdvLNYXrhxPQfznf8UB1MZ0aCL\nE/dkL6VOo36+vO9akwrZqu1NkDc78/nRSlunppmev0XxD/NxUmho39Qifaq7kT25P07ccFcg\nPSZm3ziudhYMgP1CtZTY4w4KkPZhTZ5R9gUyqGqm6N2zIfH5/cwDGb5s0TiVINDV8ROJV2ZD\nWWNVYqS3Tj/TDHwq6br0yrUVHgEf0hyONxZGgE0acslcYQEtKmaLdOFrHaiq26uGzIoWNosN\n4ax/Txf06Lfs3QXjlrfR8apy8J7JPXMNmqKXLpWuIvS4g/Lcxw3DhqzWPbP91diwBoZnen6a\nr5AJHc0lKeX82ffBIVu24/shyHX+2b9n21XK9gP/SBO6+CClra+YfHtHNcsVL5Nv9qbzZaSJ\n3GEQX7vzSzNZRPChb5dUyue2Rfr0Tw6C8O41qjBn6xRf25wareKG2AHY/JKuimc00YTW8AuB\n4qkyXHqK6IIy4c28Ls3Gs0YrF5+kTb80GrJrpITf+u+d7Jv+TlikGs2mIvtAqG0waw9YVohp\nu6qAmS34nNpjZVm1hm1WcUXOEdYhay4eHCb3q5Pp+d7CMkXUhrcGbjXiHTQOsyve+3twPYdH\ndhN13+QrtzRbvZ/JaG/8StJYE6DBR5e9qaBhECGNgee6C+Sya3e5EjOsNh+T7QbmdpdAi5BB\nL3Jxp1cZxydHSWFMtMOUT0dAqfModpzEPLOO0X4Ll+bdShGD1ChQCD70H/ixibqtx9f6PyP+\nQafIjegA5fmqGLvidTMX/eS/bRsvp5yTDWXaiaSptO6Jqhibpx3sQBq8LrMJWYZhmg3H6vLe\n5Z01U8Du81CSuTDxNzsbSzJ4YiXCXPBK3TGVEq8d/oFmY5F+hXRol0ALWLNrly63xdwJ6axR\ngxOx95fb1jPIOrJ7IAQzmaLxxRlDAyNsn8xeGreVg9kO15/Gs9B44O3ly4BsvfnkqvKmZ652\nDLStMI7t3J6Gz6hFA/Y9L0GHKUbxY79uWBshNCVdQ1HilWtaXx7bWVm/Y242OyDT87sU/Ivk\nnSnvwFpXE/Cn0ij0AASDeibTWdqoW417n8QH9Miq5I+FPoXEroL+iq6wtbkTUiAfpeCW0bpc\nVe97CW7DJe8LjdMcSdg1JPp+pmU7VuTTeZaJKRYydmZoIeXxVy1LcGlzN0ZWdfb6Ua5FHrGx\nvV+goqwV0FWKUmT70RvHqZorpMiEDQNPEU2lALL2Wsw3DwjBHl+7fabnkwOqsZKNq1uUbzjb\naaLtef+aKyHdMm9wHaWcq+jy4uG87gNX6WGsmz/Q64SsPVSZwhIOI6ZM0RXoNFdCukzc4zM9\nauWmdt/NKXmnByj5VFAx7XV/dOQ2PwTXbHb0Bv5BD+1AZi2BIuwQK571n+GMDbFhFZgOkPky\n5Moa82qRXe6bbD3uH5A6uHwHF/4b3zRy9PWL4Lvr9cud/l5azA71gjn/xnWklgWHdz3tuk7t\n5uQmGAnWmvF+HueIK9907Qpn5w/AczUUTJRQ/f6vUo8mETY2P9I4SBd6HSO9rk/0Zp+EvBkj\nbbUQMkt0rGPIS04UAws50UjrmOuPIkCBJRvvGJlvFY5J2AdtXdNSrXZpSg0RNmu+TVxk/lI2\nV6swfa1N9GwfAAnZ/GuzkyLrLQvs1qMkVYwf3n/0TreCVsPLYs5jtyxuQv2qrVpx85qFNpmj\n+YMn+lZkv8B1dzYmXc6NDSx3/9j3GK2XsP4iCb8ob2RZ/odAz8aGJUZe/+SVkP4wFsZGcw21\nl6/65pYD2pdlrKMG3Up+PN+UtSv7cJ6Gt6c0hAwr6sJZMzU7Q1B4KUJJTeWl5YNrUjNQSn23\ng2ksHCUJbjPLjWDH/77KSsvQMK6rBSX3yvaK3AcljKp1KE/XY6uQc/O3BnXh0Xymaiud5X4Y\n9G21ux0imZCcN0J6rFmd1iBf/u8+mPPe4X+xO/QN8k1ACWWBaaGgbDqjXrnx+yqagFO7B3yo\n1a3NVdLwgwn/NFWefjGzbcOoVL+gEuToRKZhGg2O/O+XQYvvbQAATQC1ObsVTd4+rPXYo3w+\nbrgrkaMJWQ13NMOr1bpn0X4Y9L/UfARZunXemL8bBHGjgd+FvSTzGTHmgmWtWpcRYXbSwuf8\niP7T6U39iXQL7tr50912nl5VxlwznxQ/UAkElD6/09SjXa9y5C98w5NEjTe3q13P0QiELS/P\naPmblYJyjA52UNBpURZhGhOv7LqelOFoDl2EBP4GYTR3kNZd8EfBAPNIxwtB3gjpZTGXCTuW\nt6KmZV3UAEzS7AnZQe41du0vSgA3U9PVCP0Kab3SFgBnmUv2lqQaFhKv/u8NuiYbxY6uDqtm\ncsfewYX3Kwf1X/rCEfjVR5OLZHrbl8C6LjwNk4BxEbK3Ds9U9RxLUILdUu0lcsJdEKY3VmQr\nTmXBxxATsu/nzMjiLZfLCdlP40NN3Roczc1HM+VwI3ersOki+YPNLM6nieYO7BWTrIlR2zlf\nCGV4mnK97SyXPUu+3osm0/5n2lTj03mWXKuhNhb01wW4DcuvmM/J7K7/cwGwbXI1MPS+E40O\nWafuCvFubqf6w/76tuQQ47mv0PNpcpFeQ0WHcok6LHOr+w8HDselnQlUq6W/j7QL/t61OnHT\nqhYq2XMdza+62Enwqza8KCEASqG0tpGKIyeYMmOnYgc9F6U57iK0Fa944aBmVfg+XqSNyYCY\njf2MmmbW2qyi7eHshmoy1WsUSiC0hxYCtBy3cW7VtxIZfjF1IvcqxS9zXCd7mPtv+g3b6N+Y\nCsV2NslskdQPCBaSVo5QnE/lK582WZU8OyQicuxdbWef+jgOWTWlgqJwTc5tO4x6xs0XhciE\nd7VVSJriFcaipJtHnzJKS7sprMmOSz3LBTbfnEJxPkGfYxSVLzOtey/FP8srW9uGr87EZpey\nXR7dDt4jdRGjz6gwxbQPDiu4E09MeySidU7M0Mt8uuDYNEZTC/forL5u9lhuZF89zMQl549X\nwQQLSSsNm/PpAVrrmo/485eYgfxgsuLAnsXlK7QUCi/D2UAmyB2KjNswo4Ik+GYzR7Cu2w4i\nuNO3QBNQ/8ua3g2H7OtWk//tFa1ZaoveHNl2K8Urkg4fP7utshrnX73GmnIgwcRbUkhrT/ZM\nIQKArgK1mFZOuuUzwQ5WSvGeEYOKp6D5knGPf5fONuW3SUNtNV2wuv0zXCkpV7tWv1ozZOy2\nTPrFD1cOm3n0h4sGjoWkFdflfJqkzS30SWMKQNJuhhG3lnwenflfci+M2M92DtUl+o8sb1ui\n63gbo6prT8Y0pgkF67b52FIejx5ue84oqqh5oz7VpaVJ3lrX3lPoq71vS0nMoWgVgluXfdOI\nnXdeTU+JRcnz7DwOaXWyO0iqhlSpUo+gYChqYjfIFFjFOfNru0MmoZdGTM8xUb73iODx0E2z\nEr1K+uUWm0KkYNUyc1enzFBf3rD5pvazYyTO1UtISt7L9vUKBlhIWnHQuOxpWcf51KX0n+/e\n7PKnhT0qW9ROvrB+Z7oH7n1zgvRTGLPzr8N4o8I9ojL3Ou4INOlZxZOUHuvP7peknOhem7U9\n/OvpLRv+v3//qGkkzIollPJm1PKwB0kHM0fiJ1Lyzyjecjp37onpKqYh+3q3599MJVlYxqOm\n3dF2kAGlZG7AtntHyHvcuSKL0TJ7tk9nvwFVaFvciFT6j7DhjYRvjban/QbDpYMPXtlYzkJn\nIMJvOOsHdpZQVptP8hTOSPK4UpFcWdXzL1hIWgkbzKc3IPM9LduEcGOeiyAsWd+i9AB7E6j9\nbSSHlApeg4qhpCWKWUzfjg+2EqOQjL2PnkYbm49t7mbi1vxNBJRZd2u5Lyj473yemOZPgVFd\nzcaYv1mzLjv7XYFkjgYoLVfBGbRPLjyGXat1dCUsqh9h8+96WAI4jhZ0dQo2MgOf4ggFWI52\nU4KSDXB81lHYDbDCMBQVjl7vm0FtQeGgrD2ojjFh1oG1Bn5pWDRtG3eC3M99kUbFs9cbu6Jq\n9YhpXatYjNsmrJN4HTN6+p8aS8gHIz7STKyjrihSBRAsJK0sMnvAJurIzBdNf1Hyr+7zIMzd\nz4WeTAftfKjnNytnNxo/3KuIY0feb1Gz1tyhqCrrXEAK1tHteSPGQejNpZr5IOQ5F8U//PrU\nhrG7nR+S/GIMc/woosi4OOrIV2/CgXTospO/t6fmMUOSoj5rbl5a4FCRV9IkSEHP10qWoG4U\n0xha+SurtA4mWgsuCjOcPk4oPU6htCOodoSKPZjkS1r4jV4R5el4Le3X7CCEX3lI6Npl4ys1\n6jBVT4mSkRZmdA/2TbPEyKpSsNxHaND+MBKq8Eu1bF2uwICFpJWkKs7rn8adrGeSeZwWzV7M\nzwlhXbwLHzortvAozirH0bw1ircdw1zLfNMVKe9WN6waUv934FYy6sh5Mj0oTNUdyjYX1YkW\nY2oFRM6LLzc+zX1c2Fe4T08UQFNdl9lUcfCFe3yYRYZ/La25V/1K+jrq4M/9zR7b8vu1ToXT\nJRm9gn91al9Tye7knSM7Tj2ruWZc0XIrKdXquZIVf6qAd0h9RzYdVsm1yuj0fkalNNu/umQr\naNlHmh2KDTDfvNoSHXBqxrxK6PlMFV9XMO44m/Vu0mzHjuZkvjyqwIKFpJ34QcbM2KKylk2N\nn4DgceMLXBtwCwQr37SipWRAmHO2uDBm/LSFHvCf2r+ljRB8ZLW10HfyY5/gdQqp2YAK5EA1\n6iChfQbN6WHjZ5/WucB7Ltu7vIdawgSme1jilakV2zz8xTz65SgAIojz/S4z8LPQQKJpXod7\nVYoYvgukzS8lvR/FjL/kVc+idDyqSIKRSrUIpViCEDjByTd9IY5SmhVQ2RPSTdYX/V9qPzoD\nn9BF+q8Ubo+O1+G0skgA0ewz2mYidPKGVs7O5QoOWEi6SL51WuvKtBSHuXymI9H/PfNoltHs\nRjEHpA1nDwkAtkdYhzUu7/FkBvyyKEE/7y1548QK2V2ETtOzPZh39CHjuWg1WLODlLdeRNr9\nldrXYEZIUoQCwf9/SZvNO0glTNexlef9NyZUc1+ymUTOTqAOrXZDE67yCEFHjBwYIqNobj3H\nJKiYqV/QcHMz+4GrJgRREsH+Xdgz06+ZSdfu0e71F7X5Gj2BGwjN9mInDVIQqjLwEissdfnA\nO7O90TnXFuiNlF9AkuCuWZnxeW5kQK2x2Qotlp/BQso1E2y4Jumcqr8LXdSV8AZha0pTgnuC\npwPTKZruxgwJLobTAIVS25mtdJtDD//qS7M6rB+JGtBMkVn2KWPAgulDqreZEn+nuc0lpuBJ\nIu4+FdaYlCnB9whxkuk/VjG2JVr6KAuj+1K2jzQiPDVcZWduv5d34UCQgbNGh4BNmelV7P1a\np2+Uhld917OoiVvzWiQf9AjJq6eee3bm6yLBDMaGF/UJYzvw+BqmPy1uk5mRW210vpzDjBOo\na7MDEnRlUkV68rut5uxiwYtoiBW7ovNDpIPgL/KkmG3POYO8rPW2r0wegYWUaxLrmfTfsKaH\nol38+CISRcASE77v8w8IPgJuDszzbNv2y3FFo3Xu1SYqUyc6T4RJgAriVvJZxKAbRAXmfQ/X\nVUQE4VbORjLM71t71uexATSY1JdWUkk2oBcHg+upk0h2ojZlI2HZYNxG2XvUkzg9qIZV0DkT\nPuZCkoJdVnHV2Y7wtiWAUPVeLLEftu63unS6DZenlGhL+NQtQZcC3tm1P2hmy5a6MB3awAOa\ngunM35+KBZ9Ro+d9pKkTwYn7pk3akRpibaHyCBpfqjlBhAZR1et2PQf9iGAfByerPqx9JGAa\nSu5GBLetaeYhhG5SlyvPKiqpk23aHXILHFhIuUe9oqq9c82Yj6EOkw7sGGzkb82FhK+r2QGs\njYT5cdbB2aREQ0WVj+gIqVlcv8wWjMB0KjuPQx9kow1Zd5jMHKmOrq2YEPOYDeibyvsSztMO\nzgsi5fJJoVFMr5G+gM4S3KjoBaxEcafsO6NjQFVsTBSnynpwe8ruAKZJ+OIeuZ+0RZ+q+Sah\nIClnP1hBXUhT+ZOEHVvPf/1JqHAg/mhV0FjRhism34w734tKDfO1qeS3E7ITXfgnvptmSHXS\nVREcqrLm95W51cQawLI6IWNd8G8Xo9cmGcv2oabdE3+h2BW3tQcxPy5MaTd4g2by6wR1j0u/\nOIvkmWQosJC+m97uXFfuonEpWeNJw8pSmj9PR24lzvteZMUe21jR1BG2e5kpm/YCvVtiygZq\n5eIPbyvEdP3c6wtx51KsV3+9dhcvzjvnnFEpWXFF95LytSi5elXuzBuY04ICEuzrQ98oWRT6\nXeLhPOvon2ON4UMbawqcJtHMuOqVcucjEJzLa3S8u2TgtMMau/p18Gar/akGUZMNfkt1Eo5f\nJPm4s5MsvjYR37oIlRBk/p8QCfKmqhMzZosfKWGX4J4wrrrxwjQfAqyOML99rExsT1RK1qOe\n9RL6cEIKzOBaPkMTGL1T86z/0gjdmdq2c3Ru4qflOVhI30u8sfDuHhayu3PZaoNWghB+wZe3\nUS/wRil3dp/7jMaV535/IueFcpg8z4iwOG+C6ByEDknYBi052g2UJecKY/lPCsEUN6DMro5m\n8oijb/6sbCUYCyXGQQc+fFpuDkB6sz4Y/YNGOZJU4fFgRgT6OLmAiZRpucKHDQChIZxpQ7lF\nBMtKCk3L7KIhJs1HtbdzC++GzsxNHaHcDLWo9gs7SEu02JDp17XSrLSV8p2/ZpX4unYszTxM\nbl04nTYmfE2bRbW28axYi+0mynwpa5v+7uxeTRfSX25sBSHzS+bxK9Myg/br0KKwKtuLffUI\nFtL3krqX0T4Z/7Y3seUWDG0H3hy2uMgud1CCctgIflutBYWERqFsz+4BxpJCzDP8cbDkWOKB\nQNWwdwnhSqr7nlHmtfhpywsgDMn/MGYUO9QMgK6r8TJ3BfZJ3spuOmg0gpHjcUIKFAkqGXEC\ntW+DosDE8peVAe6kZquyCJIV+JNKnrwr0PBqiWu7VG47/1Pvht98mfkSixJDq5JsDyxsbMbv\nqv66E0sca/NATzuRoCzDOv2cJt6g3Qp+LnqA6fC1XcI7LP5clmhOx+2sTJoUurLVHF0qnDH8\n+Eo7wfu8Vu+s/9QbpOw4MGWyJJN9pQ0NFtL3ckkTK+EQzT8TuwjzMWe2NCSc+V9PE/Sge+j9\nRjsrPuj+YMG7G9WTlP5153BjsPeWOO496SYvwWhCARasde8/m0lckX80f4c9Cvan+u6Vr9ET\nrI3J6rPbEQTIV5akTCJ3TgN3ZgB/2BKovm/GlLpRUWIxwllGOiwh+RjCbyh+YeFH+2gUe/EF\nmqkZ4zT6JqLyIXpl025MYrQQoVKT033RPdWtpX5DGgvm8A3KOGZIZFsCVuztJxnBjtmuoakl\n+XNTbOqxyZN1ZIUrrDFxuayMpJBJEBmZ0b/upXIFl56ns7Ee01PYf6dxZpsPGhgspO/lo2w/\nn5miWaB3zIEddNQRnvk4mvdemyzslzSG7+GhWIUXq7TkRmazjnxhRhrv0Z6SJEjqcPO/c1y4\nMu8krCnt2eQm7hniw32EU3XlzG0qSkHWcSRdVSohuD7WcnB0I5gKVOrMnDRh+lWCf908QphQ\n7VMmlABwGUXwYVSef9tRCu+AphRlajWlkPq1LJ2r7hi6S8yfs4o409zXuG7Pei6VqZWo+INp\ni8m/uC10p5Tii54jKiJ0pQxQQLRwHsW8AIrMPmAXOD3TdmS2bPZHlLDZNhsBax5pYtlu1b1R\njkHAQsoV177Zs7F5Sc4h6IldahRUlHDwq/PzHrlN8QVHY9pQQU2GlrTw67BYzk8+LiX5Cd3P\nVswT3rSqGs2me22BwrUVW5+yfTp+JieyzBe029SrldJH0jJtXJIvBDP2iVF9QZ7ACLlRhy3A\n72y+GMjBLiRFdQqEtotUI+44krK2lxJfrTczTjk8tEHXJbEdiPZ/v7s+RVnYnl1p/ig0+Ovc\nqlq+Cz1VjWO9NP5r4p32fsdJzsPpU+kAWdlhU5vLGyWygWD/RbVYI0GDNmgo8xrZaST82yzM\nr1w1bbjP2vJQoDP9axJq0q6evTYTwSIrsKflQ7IRqCi17T8BetuEPdtgIeWcF0zLAWRxYdsF\n9KRQ0Lb7t5c7l0+7iO3jyU3n2f/33GLP2loRytCj/aQ+k7f+Fi4vFMGOUpJ85YLTRD1mLKX6\nHd2k16LnQHRjmhnL/meAs2WjR84h8+XdFjlUSbxoO0Rz5dmucol9T/9R/EasZkSrZ2hUmbLA\nN2KXAFyjj+9ld+kjTaarUZy8WDDTNBjVN4+kw/s2tXNSsFFTvwxXMK2mcY0wWZlvAvF9gZNT\nXCQgq7gWvKzTLZtoLgTX/4fYXcPFOoRrljbYIXRKMi0FzSyxRvI7M4pz5gc66+lw0sSxjNSp\nJnrvVtfEvKwp6ZfOF/Yb4s+uP56tSaQXwiJ7tM4yO8X1CxZSjnluRHfYtbcL75vD8qKtEfPw\nD43/tlDicAVlAzbMyHyZa2NmHEOCs7U1p7RxSsfCQ5eO9JNrYp406Y5i4SwaxvSLUsyg0CL5\nwlUeLppoj89bSwBsRjGfjJHHHhvafV0CKgcujVv7gKnxabTQE/0PmheDQibgAcBPilLAtXg9\nwf4UdyBCjl4eu5L4krRk50A/hwEjwJQI+zUVuzQ3JZxapYnnZOMGrs3qmgIB3dIHukzdpVJp\nZtugtT/JDlfWs4tuY4zdW5SUS7jQK0fkdf+4eagPPfNDB1AVaRNtHY9mFX23ZbTx0BQkAiF8\nL1VdsbUYVxMXLKQcU5rmDND3pV/3hk35L912sqiNTcznF5XkQLtOBmjJDLJXSoTlEineUROr\nFak8fGxRoajnLKSW7eaXeHvDP6yb6F1JcOqVfEfyz/oX2gwICiSVeXftvaS9rPMooqUSbqac\nW+HYLZni49sdJkA1IvbxaAqE1R99SS55QpiyXbm33sTouM0RshOoh9KxXxlLb+vT6Cu+wC0Y\n3EWYZ/jWnov59B5Rk21ndymjEbpIsLb059Gd3YoLtsTLESqQltp1x80eZg/1srbsqT4gReqe\n9uL8O49IxjBvq3ftHjiQjgAAIABJREFUTDNfIGZQsJByDCmMi7sS2nrqn4/+Qm1BV2RUhaq0\nDYA1Z8MuDcJ7tBdvb34g40f/K+UPEKreCtXrx4hMIfHaEDBkfVEn69QFSc7C/OxjUGxC6IY/\nmG7gxtxtiaWOEkIy0XgbUg9XPWWuP4sZwjQkwIViN/uwA8HuXV/GJRutuhElWoWrbC2cSfZ8\nKRurj4y6znSw/8Yt10hSh5HGq64UmeGr1RGMey2A94b/zTLp42nPCK6lOU593bhd/SQRJfvX\nPAsvUGJbK+OyXZRzy5pkO15yFmy3MgkNkrufzrqk3sFCyin3YROf2a/psqdnk43EXAbVrYwe\noxTbVX7g6DBw2aRyEqkTf3pgbT6dIxl5I/7GSK5T9D965vCSCM2HKT1VAKa9TnFjpKf7Vp/9\nUnoUX7w0sGa0tZZA2EONh+yCQgCK0Yyp25hSxnu22zG/Eq4WjEg+o4MOPq/jCAn3sSQjfuHP\nQq/E0f4Wbg03EhB+q+isASQ3zWUTE+8w//7GiRu4oFlJMKAka/QrMg8yGKM3yznvOLUxPxRD\nb6A2TUrA7NebJ0Yr0sXv3yt7kWi2knmh2E7uYk4V66I1wFKO+bRj0owDOdupVE9gIeWUxyDE\nctgFme+ZuY2eEFfnl+s+wAZPCRvbmPAeWszUpX40LTQRVYV1CyjGnXn43Xm/iPVGhcgwXwlz\nya5Ot9n162/R+1ak0olwaOXMNxm0IoVdJsf0FAf6k0SxcVGgusf0tMyBNG16azpITFdVoQEc\n5tNHmKOyfagoOxhCb4oSZ1Ju7fjr3Q7jkhZdo4cHGYE8EQXMQUEwiJGFyQ7UyouyLW1PdmI6\nTbGwAF1at+xM8jXYmf5bqZtZRF97dqA6IWy2HEu4HviU+IcjAZTvinRlR5dHaIQd0wFu3ukP\nOsMuAT8mWEg5hq7Ppy3JjIGyGVJcohBq1pkZ7bNrSwNndCEkpGe9UrIStBF3/gip6ZnEeDBC\n8hDat2ezSxOhy206VjdihzLRziipjNfxFPRuDO1YmunKfZ4IjRKmR0jL3pWAbPhmyzpOBHAb\nnSMTKoJgFNTg8XTa3xIcjUuVZiRR/Zc7Zh4gd7UhqcUHioApLWlPO7FjLXUQqAJ+rebfgKQ9\nevhKoeFVHznrIXHMmfWFo9mt2lJ2jQrJKCSUPN0eQFLbQ/BNHwhcfy2ldlh8hqKDat3vUpQk\ni4wp7UyNz3D2xwQLKTs8mzjwa8SCaiQX6vcfqnymZc8SL9kJ1YRuZGmmH0j97xgAO5n6tAJB\n9LmacHeOql/ypl61uq74MkcSdf3z9ShJ6sZFB8KUQNZk9xO6bzcBLTXn7etjbaqyzg/WZFUZ\nyIEgjGEIQsNKNQSQh7K+OQPhxrtWcAetl8agPlSFabRd8Y2364VY105opCRpq5i9kn4P0Ze9\nhUC2imnSbphCz77+UigVJSFCprqXqCEDfou+i9RJFO8rfYoehygqSqVkZPr9sj//ogAaSrT0\n518f1qa8Ie5vcnW9wi41VgljumebJ6++Mc/BrPT8vZ1tCbmfru3kfiiwkLLmhhk7Oqc1gU9j\nrcjw6TOqk2aZhzLmN2217roI7ND7sLLqF8BtEhvrAa2LMZexjX4ZatxwUFMLD9lKrvxK+dcY\nwSlPw60n/HlgvFW1hFTnsw+So9c3zDv82Q6cbm+yia/BNAsdX4wkaaDWVCQDpt/bBatQFROE\n3Ds8RuOVTqhptY6mAKrJb2zBvW55U1AN4C4TTUYqzEsXJuwo1uVvHl0T6BGO/q9QsGaHprDK\nJuwwq1GxMrOtyKOX3VpqKvViUmRYl98Tq7psfpt0pa1UFcZ0PZMXAh/bG31iqrN0dR9VPXbk\nkhIltSztAtWJipzK2oC25X8/HlhIWfKEJJpdezNSBpqZlPj6MgBZLS2B2Q7T7HTRCUsfgu5j\n5/0YDQYFOJTxpMlKvmx4OapVZS7MwmVLsmJPzu/Hc1AZc4llVd4rO2lmcZm8+Gzmre8rrGRH\nLrzZzgUao33y0SRza1bXjFjkRSoTbtLacIER0j4v5pjTcLBF2xTBTAmimR/FuWdXAd5uvci8\nSl93qXXVscAtKf87jOlVjv4ct1Yu4UPkIQ/wmXF4ALukAiwPsg3rtfjds5l2+LBF0R5jmyh9\n2REZOh0AJAEWYdZGim38x+YCtz3mLRt259zhZlvUn6OcGT3We4liV5iZaN0mMPHqoUfazqWS\nadc5n4KFlCWewK39TpBpdvq5FAjOhaCYlvBUsQrOfPC0pQSktV6c70TQic2sparA62Hgs+7F\n/loAG5i+3waFJdmgOlV04XMUQsjLtw2V0ILLHkpmg88jFCos/FGb8lEOJG6gCiYI5jlvYs7o\nsS0Fg9WoTscVQCA0BKiW8HhVSRLoTaug6V6/Ckd8gfeR3Ujy+7/uoyVFp+5e1pimadaIlmQP\nY6zBmjQKs+Obnn+AndeKG8gIVdGOndL18mLvJR1q0o/1Ibqr9GZ+nla2/Ys4PcPedtWrcCFE\nnquMt5QvsElGjyU70Idgl+jGZCgJloRqYut2mf+NksaoQALeBzI/y/NPAwfCrW2BCcGPhZQl\nhLDx0Fiho3LHojHzMn3ayiR1d9Q364aN25o65h5iewmhxyVpsjg7YUN4W9WV1vylhb0jYcWc\n/DyABBJC1klm9HVwZp9UoiJhzn70ja1cc4VG7OfkdUpyw46XQ4kBW9k2jhhxINQKyJ7FwGxp\nGEQEkeCegKaUKg3m6MpwsHlJREoaFAEToMkQutobNBX40MM7JbwZPJ6ScaOeKUyBgCZlFFAE\nJZzf/HfsQZKzxr/2goqTb3wOdQ0kmmwt7vYMISXR5lLC3uJgzY+FHNmYLCUZ0Vn+jt46TUK7\nJNwCwNTYSf/BPbTUSY36erxCQ+w63jJvezYOddLiitrceuWrlFt96B3a/+oxkobr/loepsqX\nm8ZlAhZSlgijcfSGNRgjdikb92ipa9YTCqxW2VYLM3HW7DaU2EISMcxSqfoDoT8swhOek7bs\nWtJ4L2A6P8lVnetKfMvIQVJuEgkd36w0bksAP/i6BeM2t6nQ8xTTh6MD6xdihkLDGSUtVdCO\nFbg9HejW7NR+pMQSSnoaGfuWZPtgEimAL1iwWdKY7u4D1oOHgc1U1p42DnwmlzZ1rbuJ4D0b\nLgE56hVK2O1q3iXchFJ4j7XmO05qlQOjmt1mBNmxOFXC7nknWQj6HNQazQA+fqUZwXv9+RrF\noHtwDamNdiE0sThCo6mmvy3tqQJhsvUp3ETjy6NE03UILTeugaayDVzxcZn+RfdIeZ/fKPuM\nFj+BJ0bcYlp1J1etRfIXWEhZAsLazWu8b06yUhgd7JPy/+NdNDuk+dRNlerx/WdfX0kUZ3P7\nm7hxH8xYib2yhPEvJ/pJ/5wtBbokLZURYK9GH+BvOfzOrZhDKilIzEhwAC/Etlxsq1S5JSGr\n/InfZcjTjHlN26CZFFABcwjCDGimfwSyqTvBdM3I8j3ZVkw1pU9ETeAXBe0E0nHstpXtaGOS\nc19qTsxxAiuJpMcwW6JE84qKQFM+8uN2yt+oXmtKJnNZwq4RLNSfYETyh+KIMQR3Y+vtB1Fc\nufbKJegIlYKOkYzutjF1Qcda+BWuu8pJCKqyVxaHfvNiGqYHTPMmKYH+RySgjZLMI4C3Fhb4\nxWqJqs4wtSjfEH402pbtf5RB+VmE9FzHpo9ZIDXlkg8lIZr1jnkl+MjwzwyDL78NnrrKN/2Y\ntkIrhjznrrbvRgQ0rag0oc3ZlgOsgXzFvOfPyEFZJnoH5UMSpZu6Uu4dbhME+8wMBRi1OZYZ\naTSHipWlpO8G9oFi9707AEFxhyWtCHAKYH2A2iuArFYbfCgjeIEmhy4wYzd2trcinUFYqEty\niw7OBzGNldfYcWESuzuRKqADNpaSsvNYd72NidC1H66OlY+N61lMZty5DqWY9i9hPkoCVrfR\ncyAJ1YQShFmja3WFabMTMACdhtiXvmxXbs3X/SwHF+FWxSaWbYLQFeLif/CQEYgJ2Xs5cSZK\n+nVhSRpSw7ukesJmoIUQ4AKFjcni35NP+HGF9FcdR4lPX84T+nIdE5CX25/VJ7TQmnOSW2YE\ntBNUf4biCaEP9w+/DvyRRlhrrb9+JmKgkKkw5jc/dGVW99F/zADwvlb417oA9Ha1v2KCBBp0\n81dCsyCCiFh5ZHF5KRfHZ5cVQJC5dV1mpAGF0REYwV9mOfPkTiUpR4IAIqYpyQyuTJ2h9zCZ\nT4t9YIHQflo2FIhZrgThst6IX6zzioCAC2g9RZGh9Y0Iu9oraZPKv984OlQKbPCU005WUl8j\nRo+FVz/ys2htXM7aEUqgZAquFYZSVKAfEHJfKad7K2jA1WCmEV13uqyODbd/YbMGqd/0vU/A\n3vefjle0Z98qjbxumcSgj3UK7yzOfNSTDxCWcn3zgbS+5FWEb5W6bj0j7EJdjsojs/t/Miw/\nrJDmUy3XHfzNz57pXByW19lx/UB3am7Wn8qUQmAU4sU8/0/Q9ZK+8aikEKBuOL9Y+xwIQfOP\nEV9bvQ6snwBKvvq7w4wtZvxg5ASQcchnLlKCp9TcAQgryhOh3j5oEXAtnloKzLj6b2kUAW2/\nDIbxzJ+5EDoFXhdHRbae/vRP1mJ4tJgxEC2DLIN2hxC1HJmWJmDD9BJtwfrzoOJg/4QEk4Hh\nUF3mQnLO6aOhiwSY/p7LJFPSy1WhKiLx5FqqFjCHaZ8t2sd3KMc6VtjOC67wFsn3fvCgwWVQ\nIWa8Zf6LpwwgJASgXtJoDycAsyUp6PMMycp/2gaqZFGs3WMt9c3us6/b0EAQdTjr/ceqskIW\n9S09b/ZnzehkS7Y1Pe4FVnIi8ttQqkOD+UbzJmjdK2Z0EJ8mWKzTViR/8aMK6RrNTXcm1Cqp\n/uzEO7etlP6by4t1ZwY0ZDBr9HpnNwdtY9ewMeMI2XqUcOBo0gMhLhXaaPH1E5tUzDv4D1cw\nBaqdEJUgjHnL1wtwsgaweLa1IwS0B8d3gyV/oiiANvfRjdpArB8SqrCbK4Uq6A6EoWNQD/0L\nBFmmZwdP4152bIzjMk3pokATISa2xkGPwMxFGexEMddjWinW8ADDqspLtK3F/O4eNbUOSV8r\nyhyWtm5K7EYflBsqg7Tl3x//jVZIO27u5mo250MdYsjNdfLJcpoZzLkuRM0kPSyZ8mZbioFx\nGNhICNYcfg4YISmBcqEtuT/nlwjjjr9NrkGnjUEXfy41sLN6dx8T0w6na4A04NOJOlCO6RjI\nuj1CySeL+336+oF7cm589rGs9vjftyR8EKOxlh+0lslX/KhC6hvGp/eJs9uMhf9hUC57Cec8\nlF6EpWoFmx/E/O+nUhUGD6lMjbnFvtLBr7DQUand5OtHkksF/bedHrrDvss+d3flSubNfFlG\nXCihYIZI5UCKXvnWr8o88KTzHvRGQVZnlUAay2jCgnlqFeCIbgOdIINXSG3KxfZSTyZqozP0\nfLTJBv1BGkka/AqmdkAuDjGjrReToDozutIOCdPbi7zemDKTe3S1Izw7bQVK0a1c2coE4Z6I\nUPlxiySdyjJCsW1qYmIU6Rjk5EAz7/wE+f5mxEWEegYnd3WwA7YFcwKLsdZwdhErzeK1gJRA\n8Pkw5QZh9lm9volfaFctXu88Hwc4ABiNY/uXo2E7CuB3j3rnPPGbMpvkVWasHeFSNP0qrm+Y\nTg8+8/R4O7qA2Bp+WCFVHC1k3JcKG3wh1KtRri710KLlu3WOSdE0OzG6kLXqXhpcs/rA89ck\nimHnT/WTSiUrmJ5K4hD5t87gLyrTkiJeROdE9NCkqdIk2BlMCPb4XLoSkINtg9+tYR43wrpO\nIE3UQB82jtge1xLktx7D7W3Mw2zZXQYUNGLXJwHrxPalH1UdNWHGJf+j3qeQyiUBCiCjTEHW\nvRPVSkXAPDQtCI1ienpgTkCVtZIUNML8NZJI3qMmPbYzYy5pxVOVRi03L4Nizz1CD0H2EBVZ\nHB/COWrYb+hl2caJ6YcpehDEgEn07xWZ4kFTjcsrASqxZvUKj8EOpVTKVvTGVJpQwoJYo7Db\nIBjuJpT4tsT1LkEOlSfp/Cdv8SeALvuXriL5iYIlpITR5cqNzVbgi3Iaw5DXwonfKaTupVLQ\nLqNkNJyNXj2hVOrxogpuhuWuxFXm0aSundXetB+bS/VYwAUq6FEpQAqkTQSsZ387VQlA1edL\nSwoKb/WlCbuIQcJC25ZgdD+OPL6XAtYMDQS7xucIhEvdG9e2th1hjRxXMWq1nYIU4A3ONEFb\nQbcm9MIrbKtIexHMkAlCKAAq4hCRiJKc50YD7Tl7iAMlJyymehF0y/2EG3ebqyA7ispHPXAi\nZlxoUoSYMcUICNeKTv9n7yvgpCq/v89zazq3ZrubbTZYFtgldulYmiWkU2npkEZKSlCUUpQQ\nQQQpJVQEEcRGRQGxCClpNp73Oc+dWcKlRPTn6/98lJm589x7Z+8933v6HOzjaLG+QgsVzL1L\nlQ4IUIt+CKHsbrP/V5nuY1zf9g6pqe15A/F0l9slKuht2bnnavsddrszXTz4v9fj5I70rwLS\nGKYDsf/KjvLdSh2dtQ5n5O1rXapd0qg/9WOCnqP0tLyOHmYP1+Kkga7NF4jzbYH449zu/Rbe\nrssvdVbA0V5E03BspwAg2H37m3LoAEezJreQHSOlGf1OVs1pm6AhDr0GvGQPnvGQ/9n+Oe5w\n7sdnewxcemGrTC1r324cZiVN0qHCu1mRX6cx46Xm7g2CAJpEAYjMzHupZYCUJxgc7NrlOyRo\nhBJFaSUSuU4ACbLb3bgvpAc0JlExihLgqeVeOS2I6CY/J4AcPmbFxHiB1Kc02FjXDlmHcsHr\nm1jw6/bTAZy0cX5+12YjyypO/Xnz+iOU9pfyJ09uLKEnprKrUj04YjdxKoWLAsrY8/8j+jcB\naQEYd1C6wwgL7n2EnU7HUo+Qwiv+vfjbF5U/V+qvw1yYPj6fFcK7hU+Yf3Jtfg+casdSOF7W\nbqtt6rO4WJEQY29hCas2igmNAfTC4yRK7Sy1XfyNTpMH7zuxuxuE/1jRJkPiVYF0HSJN8mTL\nffupndw29E61nY6rIbV5fnkt9iRxJ9k/0k/ALQssBCKZgPPyBpEhqlWEvtIcTIw1jvd0HwKf\nV0VApgvwUkfJuKw30VZcdmBzb9GXfjWvhz3lJQIhUzXTM5kpNPoSLVknQsYT5b3SB8YLSfR3\neC0TQZasOsAFkioV0fe8fJv3qCR0uT0gd6wW6EyQMU6/nX0431F0q9C7l3OY4QWxxSW96gPf\nnxj9/EFaBh3/3NV8qfi7zV//m9JUb6V/E5C0Cr+JRYr2Pg7Ryzj5sxM7mmp3Mujpa7/2+Vud\nxXn33qss8lvE/rnWXM6B/CDeHF6lfeDMuXyex5NODa8amD2EN287kWMA0XOoM960FNAJMV7q\nrg9Dt5iFJ+yZjarWcl14l9LXYpgAKu/r7R3cfVwlIoJHgPGVLypglnftmJ6UfuyOGddCNMHq\no997IGt3n99Jx6QQsrlIYEAhNZQvz+yc6uMNoGjkAgamkJdAV39XntCY2T9Cxs6cJxsobds6\nQJfZj+fOHU4TmYWmm36MKZoKED+j4k7UHleLIYz+Bh9U5XmC7PeSd5N4MtJISzf8yR+43eax\nORFYeV9RyVcNhGqbj9PDwcGVfCdkmCR/lEPFCcJROtD7aybvGhCoEEZa3j5Xs3gasxSl6ty4\nXOrL/mCPOfc38vl/j/5FQDoHzhKZVnAfbdBK5gWxe5TNHUxf5tvBkP32vXa5A7Wrxl+2Vta2\nnn7TWIZCVxOU6thd5FNH9MjFQwONw/aUHNRINUZ2DwevKO6USoLvaMmbwlpaQQAjkxt6bFjv\noRYH0iJxOy304w9+N6iLnPqlAI2fO/m1rdH7kO/LuDn0gMa4pJHn59VBU+EA/TXMDNLgUOLe\neDlT3DRuArany2VGjUJA8UDe7zIRwCqDDIJ8jrZ05GqZGimlWOSYvuXZJSymp3S87KHEE7R+\nw5a6M5mmrW8AU92WoLYv/RSg4AubBqDiQCzXCDhrhZiWoNGCl+pAeFV34fSON78v5fde8Zgo\ntdgdNDqpU0qNSx/B+ZKBBkGb26eOkcz4rIkDSOCAEIO04IcWBoCIZ28BSlvrzIM/DwoQq087\nO0MZd4z+8oxh6J+8S/80/YuAtBWccfAFcHv/3rLpt89vtGz87UEaq114sVerMaUj7r7W98ei\ntVWa28LwlVUwrCVNcSBR82t0lbvOTRLLe+mxUm93BBMFEaNHZIjywQZGIAmv6mA59YXXrRr2\nt1XRvcYMr4IQA+SfNoLPK/RZK5MomHsxCWDf2kZW/6+pCI7GbnYMC0kJX1AqC7XArIFgPeym\na4X3qQCdaSPdTF5ApEElTmqE78uFQN+BAqlTBQRdl1aiAEKlGgwRHq8/r462PNxaGcAk6PsC\nnGjpIQpVowDyXmrtUU8DIvpOjtn0dfBgIpYDrgeN6Anlk5W6UCg6u5teVaqJshHiXFnZXtiZ\n4gV5JEjn3vYhx/gQ2aKwfulGwRC/a4Om7iu7+vgR4bEvDrpXWr2K9DbdXFjxpvIxPZlibZdo\nD3QoapnjBvHOnST/p+lfBKTvYYj6ZjAceaRn3+Pr2bhLJunqsga2unvnF8RKE25bdt6NZA0b\nmEb8GYetNJ+nG6RxVy7aZ2UBZpgtkVq4e+YbiHf9J0Ffc1189yEyeFGaYn75MOlI6XOwhO5U\nhHCbgckoVeIZwcREjASiVs3NCWU6Fl3o+BbE+bvwKWABNJuYckaYoZhfwCSH59BBPPSDjjvS\nBiBtaxzJRxdCuXxdxEbiiMaGsLUEQhI8wQqJWBl7phmxewHxsQsaKAeSJIIN65l+hiG4n71q\npKDZ/WokDrh4+vSZTVEgfKKITUZ/txyO+kDXgTVSCl65KPlvu0YPPaaMegvNxctYrPW7dVaR\nAQ7SYcIqusbA7JzualvWb+yqfCmvnKVZddjlLDd1n2btjSvYtA2l1VJP0p+FXamSM6abeqfc\nuuLNE3vPKzsJ9n+B/kVAooJDffUS/vyR7yN39bi9A2oru9xcGWF0Tw1/j/Q/ejiu5WsI0bZH\nLh9Qi9IIzK9r+PgYYK9HtbNogUDiQ/TmMLCX0PJTaQT0o/RJZRENDWYAkexTFOvzaT5HfiKg\nJpHXAm9fEeT4FIDBB+Fr9sJsot1wRYCto2qUb7ePGUGWNDmEMflwSmfZCZiwVz80RLQIGNGF\nr2m6tv1w8DlPd5DgbQKzoZhs0REYn2O0L2oInZg6WiF2L90bzpa7p4AwlXotX82kWPTmYpRc\n3b0IaOJOjVOGvwmDsMGRVB/gUwEL+kZBYUVmag2d9pgxlIeINwSCbCBNf6PFEtMO1pqu0oZw\nmI73bFlYEfVv7Dh2ups7QNBEdB801S/4hrtNag+kHRrcuIAJM+mHAqab+L7cW+vMX+1why6q\nR1K0GQ3Chf5/ScvWR0D/JiA1AH4T6kODMr68H/q2bTAJaHbH/C4nDSmnom2F9vy5D946Quk8\nOXv4pOaaVre7lJhaxaSHgpXgvZownQYrTws6jcQyiKfiS2gyvEPPapdFM5ulf4NK9Zj5sqxz\nCsQez3CnW83jplgYMNr8gi2GVUHblX2u2ytHJhBAf4BDPwHOB98iFWuJCCZPiVni6XS1fTei\nh0QGEwGq0BPeAMESOPIA3CsBkdtUJwwMga82jQF5HoGkV/ThQxnOjPmHqnVNFaM+fjxSmUpX\nEWObJhocALaTRjzLcMzDVpCSK4G7VgMm8XV6lCmhw2zvX6Va+FTEskY/T9oP40mMnyWJ6bkb\npSc/hG93JyRdoZm9GazjKB0h1vzsFX1iLS9MXq35OP01NO6lgqrPeNRGAeXzOO9kQZMn0efD\nb1zAlKl0Wjy+8VgxzNuZL9/ipikzN9Hl8GqY+DpH8Uhqf7TMFf8w/ZuARCNB9PISeb3On6Gd\nxpwXdy6po/ljq6lbKN3ZQeqaNk8SdZDwnLgIP37qcZvSsQzimTH0TQh5m9JpUXS7ULKrRTl9\nhZWgo7RxL3qOYB+7eHe9EMwzOAMFs6lVvFkUtKYk0r+EprqpTQsU5/Dm+cDzAU6ztdbahkAR\nIJ/S3pk0HAzfMcWmLYC591YgkgCdmFhy7AUtFgs1wY4lUpokPw4CBmQhg6llHaO4GhhCQlr3\nIMCg6alArVwmdGQRLErANXpFH8LRozCYiUHJbL9y6yT5c7pZ3ixheqzYgl61rmB6FtS1yfRC\nRXipJAV8mFlUOB/Ib/tfcGtysUTZQn9zzKCrlQ0YI/rIOjQbDABVUPn6QHyftip/ifZoSr+3\nz6F0tdR+HV6ML4SP1NQQJ3WsTUdXoTjV4pu1ck2+6Yqj7NjGLN71uAWIxEsgo+7vfv+t9K8C\nEp3pq9H43rGhxj3ook8v7jIaaT1113URz6mvVxWfTZdLvmkvOLvdL7TeGmi3+/OXQnsAe1Ar\nKw9ALshuQESJAaJhbzoOOrNzaqJn2kN56NMXlJdrmvadToCIyVh4ER241VsE0dvLOVY8FTSb\ni+nV+QDd3Bh/Rzggkb6lrKZhEMYANpYxewB6AXLeg5a0gIFMhrE0iSSjq05gihgDVDyYCSgE\n2vrCQLZEtHTvoOgJGBAoxrE+0Ke4/JQdGsBeE1jv7oHuc8OTIvRYSGr0IVD3PL0IeysB4/zK\n4gFaaQw9KHkxySczzv2QyVURDCk2o12OJr6gcX8Zx8oMzegTJYBnE6ipdCymP6y3C8OP0t9e\nsHWh55XNlM4OLqajkim9rgn+EA7Qb6Ia0Eu1Mr8qlewfCStf9C2hlytXo9cMoXh1i7o6fqdl\nUR1M9BgI7a9bV13KcvW6/V+ifxeQHopesamt2goDZ991XWWnB/ZpULuOaAPVz6fgk5uX/QLO\nHOgBhDH6eN0UBTrNNIw8HQPgObN7bFsiXn+zRzhp9RZhj/utAgY35fpf0216MmNPvdDcDdUU\nEMJqhOH4FTR+QL9jAAAgAElEQVSSfgXoIOlDZYtImL2jYWIGvBuIoxjPE6KJDUUM5aH08XoO\n6jxrFHwGM/CIXojQgQfba4Gs00GNdxIqzkCftcdLdI8BKvUwEdD3Z3Knvj86JJgEqzqE1oQW\n9FIGpNQTPOkpQkyhoNQS5aUpvF/4VviwmZzDxKJZbBLWtLlkPPFtRx3IlRsJBLruLC+T0KH1\nSPzRNdYr40WF3aJpYuyc7eOiiNb6MvsTip6wvhgEWrBMKFKLS341zqQbmXyeaUjWuTmypNpn\nRupAD76vuK7hVLGZPHhaZPAx+oVsj37qpfFJtjuwYxpWnmsyKI15llKHT9mL/kn6DwFpUJ7z\nTUGnu66bHKCmFAVrVe+5zlkncR1u6Xb4Njgn0C3HolD6HDK1x5yS4lHgcEc7JkFXV9PILoXZ\nQGY2l+/ibLCC7KUDW2PVK6cB9IPT5Rj5NJSzAXjT45te3HEhGAia81XZ5qill1aGQebOKAOY\nuhMwL+0GVTHvx7MNU9f8Ugnv1YBOhDQox1g9Usw7OVphCAQRTSreKx/pyXA/33lxzMSio2OK\n6gtmrNRVamCT/eHwRAQ7XL9EWQBxQF0ZhMmjJcz9O5+NeXtZPIDaE3+vR/lssWBeQMUACwyj\nW5Xr35stJfRUoIFfojVCnOWxSX2j7Tto8fcbP0PRok6/XSx2m6zb2U1cUry+l8Gr/wfVdRKz\nnsbIperbtrpm8O9/tniTX+NTncONwa1/omVT7T4YAl9Li20r8dF1f3f876T/EJAG1HW+aXeH\nJlFOuhBalSGjeBFRCwBotNovh2nyx25e9g2oyS90khphWQlVhazHO4SZq4gVkX3Li7alBaR1\nUQXQZi7dG5IpiIFJCoh+TLmKOkUvVGJYa3aO9mQM64+2jS7E3Xk6UDDevJqpaogUvZLuHlQb\nKgpayKFDSGAC4q43wA46QoUJkZpYwdJ5DxB9m1W1NRJ4BLP9xOoAfmfzH5+LkG1wJjtLgOCF\nNQKkcoOYijgUNHj6N9mtZPKvoYmtCY6UjYGdBNE7hLflepFPtBDRk3aqHjhAa6oOL1A6L2Aw\nO7a9iVjDmAM5Mj4uuOVf97GlbTMajLkpVeqC9k18eTtDACmDh8JP9WK/K54rZbPNZ26snG6W\nw/VyzzOtSXTdOKH+HWLtM/wu0VXwHV0rn/wfa+nhpP8QkBb4OH3fsZPuvvBIhhRb2U3n5nxu\nDgE1r7tN2q3LNBXU1ygrf5kOxQsyvAJrftwBmn109WQfGQe8Vu94whs6tfMFEt1fBrlSt1qM\na9GL/30mcNEBkMksfo0ogqezASXbRKyB2B7YiMws+cAThZs0dC7jYEM2R05DdF5EMYg0CwXe\nB0LsNLK8AaZMcohMJrJ14XUIbt9MH2tWk2B+EaYVAQFjuA094o114DcBxYzkx9TNrGBn8qr7\n87EesC8GxPyXxgLRfURf1MAr9HpK0mf74bd5oj7m3aJ1aIoNCSCiMvwKIXUzoLFG3sxYfyqv\nZ720b9+NppkdynFIfGGacMOy7OKcw1HoVqrcMfp9+4KNx2mrQBTwX8TUKPueXAyu9dunsGqn\n+5PsQ+//k0j3SY8ESL+Z1UEKizRH7rGyZNfc0StPtHQ2JlhO0vaX0J+6aPdceGVw/xdLZ6H2\nAd6Yoa06nIuuhcZC3uCe8QaDGuZ6nlSVghMljV3IpHSp5uRPwBtbFcvAtPwzgdUtoME0b88V\nhGksy41zRYW0/LhwSzpYdvlKRJt5DSBp0YG+OiYtTnwMLQQgBu5o28DUOYnXxMZrArV6q1N/\nI1AP/wEiYMl61tBEBtKgOIL6HXrMpZoAmDvwJbOhjB1EIoMYG8G+tD0tgNcakC1sjannEXYe\nMquxP0Bb9GJflvT0ebdTTPj+SL21LQStDAHeioe1PLPhrFAjTbF/k8f2C5s3I4EZRM0xotVM\n7c5waU5DnaHhlrdHm5tff752UHwbnghR60nnpcu8ucqP0wFBnQ39veYOrTUOxelzRB3pwR6G\nxW6B97iB/wD9h4BEl4ndPji+t790Z1/DoZWztpSWQ+wR+SSwH4Lb1gWjJ0S9t9XTLbeer2GR\na0FtZtvE6MCZclcsSJhFV9IPAvnnJaZqRxf09Q2fAUElr5tH0bkgvHCd0ncI5G1o42teHM1E\nU2/R4GCqHToyPlsI5XnFuGgN8mz6RHXJV+0tTAUiEcx2lcUqCAvBDbzKA9TsDOTpbXsBZifB\nYPa1abYB/I71brhPD6TlwZLHco0g5TGpI/VkqtiAIKjMjoDJPMe1EI3SSugWTwRsRCGAB6UE\nKvHSDgbV6ErDGVPUV/+mFnC6bk9Ki7zm0DA5T8vWhOdC1Yu0W42+ADUGrxNMeW1h4yRjWHN6\nIiRt6/nzb6cH44PmhyhHt/EpEogx8y7m2HovnJkv4tOmcQ/nlYubcfuVn+iq+8vre4d7U7hu\nVDpUuULpiXLkf3BUzH8JSPRtzHlOuGN7z9ONiUec1vys6/OzUq3Jz3W3VL1Ej61f8Xnx57r+\nzLQuni2tdy1YX8UvoJprJNd1DbQvpPQXB+Rd/2jpuh/ekbAC50SuQIinPLyEOqC7SYkyixqm\ntMmiBBbMzVFgEONw394/wz6q9Ud/tNEH6qKCNAXArTIaFx5QU8fWBFYjIZsrQhWUQIYKEPI2\nwK/dyoFwdBLohjWAWuxwH9IRVWhT0JQHjUCCEC0ydzi0sqaEN0dVTgzyJgJxp5cyRLAREseg\ns1QAwaurEQwCmHzZaYI/btCH7oJZpzvGxrQ/+TKsT5p+bVRVb2VWbQEq14J6BgJdi+lyz12g\nFNFibVAxjotaCGNp1wSu1l1O6MKuUfmq5+m74aAXIKdNMA+XvSay6/R0qOr5Piq4MvUK3xjV\nazY2a+nrCrJ3Km3eXwb1IoLdQsRZd1nyT9F/CkjsPn915wMXZpTbx/AwV1NabnGgS2pko4Wu\nrKKmTg2/Xxy99umBq7fvvh8aguhhJaLo7g/+ZtLQwOtEP8tlSplfl0ZuoBxp5QXmquzZP4/a\nXseS8qg3YlDI1HkxKkA8TWWoturbBRFMe2M/I4vxPZN2MeuvpTOx4Q2Y5R1s9FG8HEDMpB4x\n/6Lqc9ibpG5VbaWG6OBw1JWy2fHC0aVeBaANzX/iK2ZPSVkfejJDyeHJtmtaY7w4anY4t78C\nNKIAcQ623bsrU+1yiKgnPtPpMSjP844gHQ5kt9KCxUcABWKriaSQmUaW8E51EaH76X5irL0M\nJk4xh7YotqrNSuhyy4p8X9Jgyx5t9xMX3MdnkII1vFVmK6Yon7L1wZjz79mZzhzwr6INOU2i\nhYEldJzLAK3T+/YLezMdfTyz6uCyp4D8w/QfA9LdaJFV1e/nmi/QwjKcRxZnGPAzaMpEh9Ty\ntnK+7ULR2ECNKW4NgcFnKN2bpBOmXqGvyuaA+QEEJP+6xJy1+INVrRkLbqNBC77HEC2SXkig\nZ41+dLkzMMtEBcjoThD593I4mOhmTVE7Bhvf/gQ9ELNSJexUDMpoSfhID+BX/2BHMQw8OxqB\n6J8C0PXM8MH+4XVo59pMexNRGBFEjqTlid3XaNxM6oMpe52ACSPBaWNBZcEArZiUMjYgYD9I\n6bceTGgOIB4oMTqyX1JjmfBCYwIrprQO9/3AQDbRZT4H64gAQXNmJJ5QSxCxlF3bqV5ogeSN\nOXNN4yRwt8p9mUq7BAd/brMkj3p+gF+EcxDFOb8G6L7bZBnL9Gh1/5/098g7+V+l/wNSKTV0\nZnldNQxM1YB3x19u/br0Sn0HkRtOn9mUGnzilu+/hUrmHgumNxQlXo/A9J3qbnIogUYnh8m+\ndr2YDv74OO7C68gxN4cEJ2C/rAwI3ZZtVX4PA3V8SxrpEK0FKd8C4pgLEeY0ZrYc+RIqMJHU\nyMx26s+kSu9OaiY42AMGsEPEi0n6gDcRdDbuoGvhCP3mdT1353GIoMdc0wngRXpJv4oZOsa2\n6SHBoDnxZJoCDmaqpU8E0R/9GLVPYFwqA6O/mCpOezIg5UILLCI5CNAbtcoqwWQIPWydz1TI\n2XS5F/1FG3AGvXbnQHUW0CfgfTqwDl0NmCwfpR0vhND1Xp2YbsfrBn98Miei9hRXZ67xIapc\nf1l3ntaLwmjdD+Uz/1ezUu9B/wekUkp9unBCXmLBFmqXB209sDTV60bOftG3+y9Tyyr1QwHw\nkvXLibfFdd1MfOjwBLA6hi6f31SsnhzPJIdlzGjzWnpEWMs4tsLOYhQMtbm8ySHQ90VSMxFt\nmfqfwRzn8GTaWJKSHoOabgYM6IyBo2w3IVQkJiuzrUQuOuo3lKqnhXJxBapnG11zBAqKS+KG\nBmO17ettGBb0aCaRlgCd1mlhkg1wBkBKLzMYwtn5TWmio9xTsicmS+jsJjSpdHg8zWSLCJjS\nRELCNUxt7IAxqfi+dRjyzRyVMdDlOUfN62+kEQjpBfUVDcqr+u1p2ET+64vN7pTODqMfQvKX\ndXwh5HMQKf1AOEBH3ugidO0LZ45WFWcOyTX9Bvp7bali2yqaSrc+nf499N8C0m+b5qwvs8EC\nUvUCPRgdMkQAr6YurOkabXmpj4FxU53aqo1UonVOJ19per1FucTWrsLbH2TS7Hsmr+JJ7rSq\njsgW7w8Bbcvo9FgQcF5S5LwxUk3ke+IuqjXcTNOqKkgbaALjWxtjfyFWPc4MCCpeD1++yJZI\niRVQ5WqAs8oDKoHm9WhSC9Hhtrkvwg+7QEAI4/8sX8BgUF1KezTxBi0XRsj2Wj6SDBhmPKZ4\ngBeIdgJmAzFqmfXlBz7jQ6R5G/CXaPgeOpRnHi8R4b33gOCwCyl/Afgq1bYmS3LiWKZnZq8/\n9jhC2WP0hUay0DACne3JmIrwhrCbzrTyBKrN2GT5qPz6V/jDUey6KcweSuuQRcBSj6/4rDrD\nsd8stJJiXa2/A9Ezv3N8+9Gb/1cqzc/dewzarfRfAlLxCK0+xij3uUOTp8HEjtNGxoMzg+Eg\nrK8X4siYf7Vi8Iqfz++obtNyr91kmEO3DRq4mX4DSts5zzSX+GjJosEK+DPTwhfiRGfZlE48\nT3NG0XzAJNiEmZM8q2QxNgxnVv18pvkMZ4zm1js6NxrMw8IUAuUqalWlpgf4fHUUUplhk4rW\niy/u05CrZ1pIlHVwM3E8QnaYwd5sLmNbwcrNIXq5qR+9DDCTNjJNNmChbp7CVMEcP9Qkpxrh\nhUJKZzKpYx+YVpGdohYKIE08QHBnkH2YpkdP8sNqCDvjfrdor4DmpnDFALxD8yUCAaacEFGe\n9oaa6VTjvdXdpXHsurTWd1+8pIcOkANHGZ9TIGqxNvQzPdMsXy5MJebIj6dGCXWfP79b33Db\n8S+mmVGcZzsrNa/p3noEt/vPU9FU9lwyt/nl3itv0H8JSP1sK4ppyXpHu7K/rgNt0Bo4JLp6\nGuqJHJFsAy8vfkWLcst7uufW89XDTDOKFEMj4MJouw4TNnu6jRGKrkw0ZX92XtbzvSdB4JzP\nOjegs6TwfoEGkrBYIm3ek2uPEoCspZR0lsAXc3MM0zOInGixiZIavLmiFWuSEAE0inYh3QQO\n6sc4eIvyMya9ikyfkggkolgoJ4DlwlQpEqWcZaQm2g9gqFUk+qkA52nH1vRrgIQLPd0YGhSM\nG4mB7J8ATx3jfjVe3E9I462ORdKanhVkKRpIgdbpAHEj4H9NwY4RoI+Cdtfp7ABmI0HW9FXd\nDQJMfn2w2OPHfUSaQnOqK0AMmSoMltcJDKy9mAdUS6YygSjpMqrWJyAaGMRJl7M9SGai1uEI\nbM8X75U3UToxWK1pXKovI+V7XagM2rg7jEV8pFScb5+x/7vX0r2PPMBO/yEgfaMOVaUfiXvK\n/N4j3Cuo09BGGiNRR0lsgUgMeywAdXYk3SOsrOzwSFsUQDw3Uvq2DxhVPWRQ8vEhmaTrIfic\n0t3CfpopM7P5eBUC1WJJFXHPMkV1lxFipVQpGMnbKwQwe4Ro6KWd9WwjiGFORNSpX+wS+HSc\n1NwALZd6M6TowoTZH/uQ2J80QDI+xHQiqIkyoEMkkCaB4MW0thi6SOOSS6QFQ0heQyGJyaxj\ntFvzKbJLtyrNXYURCV5f7WacnzzoDKXDvRrWNQDRR0LGka4g7GB6ovdYbnNVxHG0IcUi5DNw\nsfce39C9MAagjQYLNj6FBvRt+Tr1JsewrMXO51XcpC43qcJjRQvAJtZqSbRyGND3zLCKjrK/\nT6/aljaCA+q6Fs3aBOhEN4zCrTffXsVPMZ/WvfWYJgZyUzLR1R//HsVvsZE3DrueU+sBdvoP\nAWmq0wihlYeU+b2h7pkZrXN7rWsmqA16Q5weXVkd30KvgpA/dXY7rYbwvijvYPo0Ms1OQtAL\nJ4c3Y/c5o2M1jBv1chhE4WAdGR0JAP26Sev2iYwrJ3nqGPP2qMJYMmUmYWY4LXrGyiRF3/PY\nvqeFhwBieK0w8GkM4RwgutECcRpUHBDq/+UTZKKz3nA2uKledBjWX5pKFwGR85srDIonuBOi\nMhN6s+xCKkqlJsfnsiNYn/QyD925SCvUXundlfssYtzEuQBtUdCJNkHrkcMPK+J5vzcTLVjw\nSKJqcLWEFnSN9ep0kGNa7e5Cpo6BfnGCkPS0S18+7Jm79/qVHT7w5dIMO5g3dQF62g22X9SN\n/o2ZocMWKeqQdTpIINEN4wmENAgXh/wRIF+SKvhyLUh2ccKyeBFMDb95KBa4P6qiDryiH5IH\nUO7+Q0Dq4wqedyx7sqmH06+0EdSZLIIzHdsK6lC6l9UCpP3goX982at9mIGOj3RTm8ch+3yP\npodDiK7FF0UViSVkd3srIdUng6H2ljVCDrJjwvYPvCQwYwmEhxWMjs4iCfEG1U1nE5x2rVEL\ngp5AENRl5tmvvzLxo60SzNDUPI0LMTNoX7GBewrDTP4QnvFamRf6sWWTKoARXRjxa+nxWIjN\nwGxY9BYY1Jw8d6l/cjmXQSVKRAh3N8rpONLW5+XZmGRHUN65L0NQkUAwDGQq3jRmIEWtMMHa\nOBg5qqq3aaMRSL/LdA+zod6i+0miF2TPyRJEz9+PgWboK5b6XlmufNXvaoAkMuC2EBMS3RRi\nhRY2q0c9LDKJebP6sJfNzqtsEPCxf8AM5vjRZRit9WR141HnwEA6WDPs/W/fyDV99Me1fzV5\nrVBfi8Rt97/TwwDJ7xaa/sDHuTM9EiCNdA6ooI16lvl9AzX+QweDZuTOL5dXgLarYk0av67V\nQK0xj5Z4/OMbsC7L8/WusUABIXvsyEyCkmVwdVpoCUjDZouPnelLUm2CpzcxFFEaOjcYfIXM\nlrLiIaqczGRXZ2ZpLGNyxLPTOy9UI85evsUCWchE3ONAAtaflteMFaGflcmPTDcRQqtiDxMm\ngNJBnALQG22rJggKgaMj0hyrEbhzWmcmYjeJu8kZNrpUlkzTdSBYui3WKWzhoUpE99KXGA/+\nFt70BlJtY3aYVrF2wGRYTbaojJoDiTw+xeypDgD7XgwWYXldqRH9zn0KdQB2QaGfAVyjxUb3\nU1A5UuPJ7K885PTeNX8JdPVyPt3ZCGDrD2QN7dLqckMQuiwZrxFb2i5NjSFivU3gy1ctgfiP\nrtJXNJXF6N7uqWfo7RQU4XxjVke/fCDwFmwlbWIefZzJ26lOFgo773+nhwFSFqNMAZSwRDMY\nOq+/6z4PRo8ESFsVtWrsjOXVMr8/IXmgl2EmyVgcL4FbG50PuOU2iyIGGIVf/0LUeqbTTN/h\nb0xqxfM0bLO1Qfcr7SLQn9sJL9EJlm20tm5RPhD3sXuimY7WfM+4OLdlGwlYV3gTlAAQfgCB\n0SCAgKVOglqFQYepQVCqheaKrAGf5Qx4XNmCtnQqCLyLpOqz45XrTOELrAYQhKndmhYSN5MY\njE0j+kHid+3bPs+2kJwOnlnsAE+V00FEU2C3LUo68SPgeHJvDxHC0eSyzWsqEW8J/Q5eGQK0\nDnYZXYLaGpydPmusvfZ1ynRMQ4VGQey7SDyZWSYt3wkSmg0CGLO5eE45usT2wzOdOz/z88nw\n+JWHDy0OFqAGHZp9wQ+S6dHJkPC+WN3QJpwk6NwtVyi91I2AJ3hNVabTZE96Mq7pH26Gv0sP\nt2fxl07OYrLj4oPz64NSXnf1dYd4954Et9DDqnaD5BmM54uW6u8wCP7P0SMBUkl6Jaz4/L1O\n1B3831u0YAvQQhz7+toJxnVqZ9f3CBMhS1cP94AtSypZDalTdcBb7F5j1v/Hhdd3R6KKVpyS\nfWYWXDvvYyu8bGKC5THvQS8rjTDQI/qi37jycLoToIhG6yq7/NZirp2bPwFOzdEGu/mrhVRN\nloE4ZoK4JASOdGQ83fY5vkddtFJSdUCaGqEGl1DWG8CKYFgoV4f4MD2N0p71Y12qHOaN+9uI\nphwCKd34UgvwMDQdQBSTm9o9yFuWXsgzkzcYOtyeYNYeKKNwQJkuiSl73lAP3RVBM4uuz4PQ\nPgpqfsfY9gwRYS2RdK0bk4lp2nIdMpkOpg1vVRCuq5SAcnsDt70QqVm2JHwehCmW5/M19hfH\nEVPMzC3xRiLTcxMEJnay2XPkA/LDu7PHrLqpjS3NUvu+0iuC2l2odOxs2H00fn9IWq3h3qgL\nKX/E953pIYH0JThbkSxwTVL9S+jRuL9/ire3Gd3eK/yOXQavDK8S27C0gaEf2N6j9GwewMJg\nRfQY7pduGLjmrae83NXBrn2hclXQyKQioDPiWDm3aGjnYWlMd4rMWlgmPb7cFBLFWElTAGZK\nE545ZAVia5VDmChSfLDM9G0LGUNX6YYw5g37lJ5oAebrqXrR1DKCCAPfOTjbhkIni90dgHSi\nuqRB583RoRWIMFYqdcapiBEUYIK2Rh4KMaVAEMNBjTl5ACx+Rqh+ojaTPrNamoNBuFaFWWI+\nM5gR1NMsIgil2t8oWxpCdZ7lkGPXxrd2HbnF3kj0aMiRehMJNoLGTMCPqXhvmOkn2AmZN9aD\n7kxJ1XR9AUaVsIfVTC6+F4stwb+zloF61hxo85bFbyqzKLW1Ps7rWV3bqn85keS0JOwOB+gu\n0gDs8mUJkeOy7IabmrOv403KLvaTmfDrxjS/LGdrJxp6x7Gzfx111Q3a+N6ciIg7xu7LoIcE\n0gLezI3RMXjugY9zZ3pEmQ3XFnas0m7epXsv5CTnmUFiz/9uWKkj4lQGLjJ+1GnBo2p1Zj2/\nR3/duu0UFfk0iqsv6pX2z0+IKlljLWpkEUEaBaTXGwGtX/cXoV5R7Trs6Twyij3fgwYS0NUi\nAhMmtTC+6ZIbRO+pYoLw5NXTXdH+HyzmUuJU6ESwNxVkKzbR923BV8bgvjoBNK0AcHRy3Foa\niwv92faK49m7ACt3m4NbUrdLPF6Mx/RRQEFfIObu+ElcpolT5K1dtCb+vQbs5diXiCUS1lUS\nRTBVkMG3pwXs7Dl9jWmIPdZ/AkfYz+plZn9OXhA4FrQmDcsp4hG8OoegPD35un7CDwyA+a3Y\nXymJqaJfS7qS1DLYKhqE9OFxlLZoyxTlfErLKW9uRBPrrBj/M1Nr5stLblz9HKi67rsQBVp/\nvzw26jTtnqtu/lEoa7DMX00vZRjE8IEPNHTzoYH0rvrmfVj0wMe5M/1PFOULj9NXOjSadGIr\nSEwynYwAJeOD68WfNzCYp/goiuMp4nTkhgG+KawGy+inQ5VJuwUN6O3cUZ1EWl1hf4tNDejA\neL2B4GxJGOkvkr0G7KS6FrR7DTgxDxSGAfQKVkGgPP+lF7N3RvswmMUymVHDG6rzvO28nkIG\nkHxU8dArJ4sumaSojnCJ9y8uLhTAjYmSziH+2vKlyaveiZXxV9QCMrIV6b8RB2O0wWIN9mPR\nvzCYQNdjMMHGPXfbcHsCDrKI/w6g7cuxqbEyD6fNY6fOMIRFtKWeoPVNZVqlHmpF2FukYBci\nn9kl9AgI2exnkHwr9jJOfoytJ6bHAwtX65NHRGlJ3M6FwWqBbDvIO1bfVoungTxJVPfYJK+b\nenB2wT9JixGm32O70f0Cb+lUlJ9UVizpwpgMS0iT98v45s9S8R/KZO5BDwmkz6AiD05frfgv\nUO3unz56fuKaMyZnrp0F+PDlYiANiaKFittAF9SseajOR8tF/7eSDbQRgRIZtJI3WbAQ6N1S\nWlvsCaLXk9tXdZbSareyMrFSCbSL5xF4ivFHyKhkXT8RmnzwtAKvUA1YHjMShhfrCSxsAFWK\nGFFqmLmnT5QIXDmJUBR5dFWvhmDBM4yZUui8EBI5jK4MItDhCoFLNBj8cRhLyPf4iwgaQ8K0\ngaT5ytCaDVDmZSVUQ0UR8ehgCCAOLuAsJYUwudgKlYmXCaFnZP8QKI8m4AoTn5ek43kPc88V\nWHQtK0DcMru2sID93JR32hELaD+dZupBC82QvW9g7rtMHZ14jfLEJvYbtIM+IqLfyCoezcWc\nbEpzB7Hr1g1760ECmq0Oq1rzdYbcEio/aHcaRivM1+kEqef6vUsy3Mpis+PRgePWvtBSfObR\ncMN90cM6G7qA//g1a8YHQPe/7jf900A6VkkMq2A1JvBIx9m+jKUqvIrOUHj51LZNPzIp8mQx\nswbmiJK2/3s7usv6441kQrQjlhP/1VdOdETrvtoe+msCmNoYiBS++SklbFxkLipuOpOP4SUB\naloEIzOUBINYHgT2v4E96aEx8qjJF2FEnNLFcIHOCO2D+9WEELaxiZGZ9rVF0G9sJ69DFJiy\n+VLsjQdtAXYVScx884bnaSIeQ3W7KYTJiGSNKMj6upq8s+NQOOn9sO2Djr7BDl0f4OlYd3hW\nACX7WV1Auiyk+bA1EQJI674Dif311SndgJlJNdhmIVmCvrSofIsMPEwjfUu2G/bqJx0k+Jbu\nEncwy/IQHV6VvgYRNksKJqVb6E8i6LIlMiHZbf/eFBAiu/WLZRfw24YGdqWGXqSHn1CbXzCy\nrr35PlwAZ9DoMA4u21DZBH6PlZlLWi+Na2GvCn9DkOlO9LBAujqY6w7GoX/puM9/FEgXIyox\nw69wunFpd+gAACAASURBVCRKnc7+zEyK6KVxgq3RjhBQI97xompl9UiIwsd70s9uoAlkzCf6\n8RBHcwjTu1dJkINdcSOH+RJNnEHrsPcGM+btVMNSVTEN5I3toOFXMozESRtMkCWg/AjvxpZ1\nRsYF8Q36PmFGSXmUQxZmBPkkgCfT9mrTXsI87Q1PA+GGlgi9mWDy5BnmXDQ+zcUXE4Z76WXL\ndCsIbo2vt3J3kMbB7AslGiTG7TCVLdV3P40lsRUs7DjGjiI4ssGMsaWTJwAG8RbkgfCNXhYI\nCiojNKd0TvhlIhgDGxORyc1vr1aBPjQbgwINHptMBCW7n3agAbymxwngs1LDTLE9OGIJvDr9\nvFQ066uNCtQoDa9/aKrxQkSFRJSvkSHT+AX99W3x3ZtvxGWnH5MZXhw/JRdpmXSEOAFUp/1f\nzAoPQA+f2XBy4+z5W24fxXYnOtgvJyYopX6fuw6Y//uB9NWSia+Vumim+OHJFxoNkka1vkMF\nwU5kZtzw3jfniLOF8S7ye/HO3diAm8ciU0DtXt0EdKNjjR5VVxHw/onS/kySUNqoMx1nam9B\nGGWy7d09kzCoComQ+y2Bd+hbUfAMbxSJ+Z0gMlypfbbUHCDRKaHckiHhcnd8GwTqL0OcEggc\nwsCGg5Si0I0mjuPlFbVQhRN4rdJKSmMYRnx8mGr4Mqb/uKkujkAZ1JZf6KfWECcyQY4HWH7N\nNbEPSC96GvxoOfA89Q7op7JNqc+NlCUY8EGuL4iDYmH3uUQygI4hfS7RAXo9dKuCmYITCdgG\nitBa9peOMHNTPwCeDgRPIC0nuQlRfhqitaR2tGacns/UTm2DdqnM8FmN02n8Ft18WyKcfdMW\neNx1iMjrzkgcxWZG/xT9rSlCZxsiJ1nwHlW5a+H93wukM/kQmGHXjHaasVXQ8bpamn1O3v5J\nAowr1kHyBdqhHlNygl/6/tjaBNg+yUuWPZ86rE5KvQZ8oAKdCcrpAem5syYwu37YivnNGDvx\neF42+FD6gvHwbDc9oGdMALGdMe8ydQORBAiMV3l1KqCRdGwf6Hqz9x4DtGgocTcaY00yoohu\nwZiMru+paPaajBcwSXU2qOxvJqVFTkHfmF2I8CaSzLPDNZlA3EylmDlAZWE4HkPHXSLP8DrD\nVEAVk/LSwUqk4ySASlzO1Rfr0wHwHI2BwPOfAsxjZ+Dmkr2dktlYCQEdpJi9LFm/BjXxNmYo\nxANqO+EI46uBQDcRT3O3+YIg6mnRgcYhP9P6wmZ6SlngC3EtF13vapxQvsOGGkZDj2vzpaFL\nLP3Ha8fedGOmu/HUuh/97j7Gb4WX882z0X8dUzwoPQyQoBMdDaV0pwFRN6goF1q+dbqElpzZ\n2oVk3W3u7t8KpOJKsQeY3rDCPEr9jE30S0KH8VSRTaQHdYfAa3RRYBsgfZllr20j+4Lk4yeD\nl6riLUHvG8XSclXRYmzJI4vRoPHo+8KkqhIhBR4gaLoATB4orZ3LpdLZt3MZv6L+JAQzIycZ\n/NAjMPksv5JeyM2VEAGq4xsdW2vcuOtPQPHkrldjqXYLCBU4PHCdmzOF1QAhVoBIDhRuQ3FF\njzQhYFoVBtHsfeZFG7eUuNDxIC5nAzmPOpxTX/S0CgKxM2wygVxZhO+opAiCPzZsgQyFfZ9e\nhSygSwILuxEiRAwn7t6ZF3uxJ6TS3QCabdeD87FCt7YdPq1srrgkPwq0K/Cp07A3PSui1Eie\nOl1+mp5+RtxNh1WnJc3DvbykrHTSu4S+Lt2UllrYwDrirS3jPLMv3/UGfkycjY471/9LGeOB\n6GGA1HAOXdmklO49IWAPlI7uonNcnbPLpEcNpKMrnl5VarauNKr3YZWiNj9JH0fp13CEXtdt\npJvkYCqGMF5kPO8F2SJ78ue647wVStuAnS+fAJ+/WDMgLH8Fs2EO4qg+9rqPFo0gUP8JX40l\nbT6Byq9+sg4dWBCyoSs4A6giepcJL44jTJ97n8JtxBh8hCWAtz8mfuVxSxgv9LNA+vkFhhZx\n7L2lIV/JR7RUHgjYGE+N0+oIuDQ1d1Ka43CFVsK5FeonrU3kiRHs3EzlgydwgbeHGtHipwR5\nlEX8eAyTmDmLoH0jqLMvgVl4da+AbXUX01vNRDH38BZtho5oa2F5xahLwRAbzJPWP2UcjbPM\nJPwxeS+aKK0ME2hCa0rrDqDzCRbDZkya7Z6CMtVz+lCmKB8j77U2FozjBRbJY266T8XPphm0\nyVOv3/1ulsSqttFXun9wSsXfqdrNhBs5Bb8Ld2tO9miBdLWb4JnuLj3hvD9tnCOuSrzU7iOD\nEorpTlJEX9Ocoz8QLYUxuxItkm7mcfDbeuHqbiZK+rMn5JWhRG2cuwvCLb2XPt+OyQN+Kes6\nJYPA5ITsMIGWAHdCJIC3Lr8x07MEHHUMUh4fyYcFuSCke5Vjml0KVsMaGFp8woB3pAuYPwOP\nxBNJ/Rh7e2cR9FM0oCsN5YaDIKqncUETfBn38gCWlAakmnMr+zGN6xBpGGI3pjY6MQRuW9Uy\nwStMC6uJe4f9hms9sfFruRSmOs5y2mWOPXS9AP1R9axsiDPFNyNmJqEiPR07t0WiceZGBNNs\n0PIomS/p3kQIoxNBr+swzw97eaVwsTdDsycQczv2GprseaLCEoueXYzLxjXbBdLlQPyI2RbP\nfPZE81nW39WYvX3bW29WyX3MWNytb7rn4tEXPPL/RL3Sg8aL7kR/DZAu3Ffhxiq4MVj8azU4\ncwd6tEBq5Yvxv41endWP1YcVvTmy0+R9NF21bX+xdr32Bfy812MQvXogUFMosWfp5/pXaStY\ng1//BD4Oc1Zli0drUGf/CYQnsfZhRkp8u0Y+7IVHNeP5jEp6kD32O39y7eh8iXQflECgWQcm\nOdaEQhaDFLrXvxLAHcWIrAWS0l31MWDt0UZXtdENCRVDX9Mnfs7empNvjJpg27VNARIYOiLb\nZPLipDFM8yM9AKx9CVflpGr+6FMnOErJiAEhh1NcMe3N06U/ImFMSo85eeUglWuJsXbwFjrR\nU2tkrRfUayq4XWjOfnbAq+/IPSVsCMaOtwHcV1fQNzMDkaOe8igaC9K8EC2YFhOQCyaK6p/g\njWr8Jxhq1jczsfdDHZcuCMYSmjx5IM5fj9vptXyo04NDW959VEjZdAArSmxj7iG5/kjba7qR\n4E4P0J7hx02b7rD6YYF0aczTlE5jV/Xre+93XBd1yPn2lwzp17usfKRA2iOqPsNdwqf8tUmr\nZF1OQXnSJtiZ5bTL4dfcECq0P/cEY24ween3TrW2KKHoyMXdQTixZtyY1RdfAR71uK4D6zuU\nLiBQroND1oU+xRi00phOmNb5FPv6rAyhqMS4JYlWXQPQePpgrff30JBArFi+aXmRx43Yw9sE\nyiR3eKODU4wg1xlRRDDOnr+ZWBmTk3LriJGJhy5YE4FjX7QGdaXgQ+yRDAB7C4BMY5zekptS\nTFToFNEpHUHvFFxsh4FBRGzFuwP5Q4iWZKOGh6favQ+EcXjeXk8g7qrhvrZzejQ8vsN0JLHa\nKR/0BTIRFPlrCDe+8IgBQrVBTiGsnb8CHwM69j/BXku5zcLY1lTejPYzbrBlKc+9305ef7I1\n+9G969uMYmTnr7tK8NVqk5qQc813Hi2TLl+56039/aPDDy6O5oqPrdr1QrrbvYahuuhQDvp+\nqh4q67uHBVJFaEK/Ej1b6aLuo05kBZDMvuNnTxyQI5GX7rbwkQJpmKs7ULLayv0ZqQr2gPrI\nA1wPg/PzuiRLE65XDl7ZQ/8CTlsNeKb4WhNQC2evgTOJoy2cxJeD0F3NGgWNujeo21NxQLKJ\nGUGiVlQtGeUohchvTexJ32IdhkvTkvWCPjkGoPcFegJFgGkkMKYmXJXDGRJRsRCowQlhu0t9\n04DWmtMh7huoVRq7gAJOVzZbmWcCUgNTiEy8n6rIc0sZR7drB9gAEqR8d9xB643pDezPC2Fc\njZPM26h2Gj+4hC2FMEoEBEPtn6bhZgZ60EmueHEUXWrOYoLVPec9Ix7+SfTAM4W14kt6v7NM\nHld/90IlYtHpZseTik//+pEh/4OLP3TCoG7mrnfdFKFnIDtQ6Jsjc+i1AG3R1ZA2KLZK+nic\nLWNi9pXR4YIYOeEvjVWyOyehvUaLmsbdh/rI6Jgj75Pi4k/yHMfK+PIhgfQO5P9ER8EOZv+8\ncx977m2s3nKx3ta7rnukQCrVwpuoBX5zhbp4tkN+5PBNq8ZL3pqaDg+mjLb0l8HkJhBBbflA\n9SqQihQt//gJ/DyIGQv+U4DwZ8lagKZ7rx5/xQCaJIkQ03gm1EZ9/3IC47KFlBj1hKthILOH\nuFKhbQUmXZg9RtfpbyhxLqc2CQI4gu5wHGlZCh8raBZ61ynCbB0pVtWciAoUyySB1OdM7iuw\nbbEcWOgMD3X5HtxQ11LfmkqVQ+IHxBlP4h+rYr4frQHkF7rM1hMgqfueL8xN/V+oizsamGo4\naq3gydZHrN4pSuzww5jwFT8mYJs6Hsy8YUqVNOoDSm30T3YfAkJ2ZTnUHKL29P7WUFmIqiNJ\n3iGMMY02qWd++vx4b3EX3e+WNGXNMxVN275oHgBBrW5RcC5W8H1m965pjuy7S6UHpQGZ6utx\n6d27L3RSm0yuO16vUNbg9YcE0ix0vmX543P52TvvcBOd2rZ88fr9ZcVvry58rpQKHhWQSn4t\non2dPbxptupEbJ4f6tGsTy2llv8LNy/9LjjhiRdQ3/gGPh2dl9nr2wrOUv5OoGM63VsGUCtj\nzkphQbN2vTPGqlGdkhbojbmgBvaPVKNvG39mmXClI4kxK5bziXIyVr7qokHAP3IdPvQDUFET\nUtFGkQQgw3yBV/yQhpzBeUDHxGBkT1Flj2no+XzBiQju4FZBoQHROuWGYVUqxZ6MEyAYj63h\nUWAjX83EXi4zoOrhwtgI3BLCD5VCEikTo+xxIb/HLFm2NiNH8Mi8mM3UXB0/fR+6RcSCXB2q\niaGuM0k4d00R+AhNtVEXF4RJVeB9Whw4rRLEtV+IEqVn7qh4nVx3hXCU0lBYkCOS0J4n/Zh+\n8nOfFFtit8MbtLWWvLu4hn7TTS7vwYE8Wv6j980evQeir18cseDL2zfmunp3xM65n2MUGtRR\nqHS1sYzQzUMCaQZ8Sy9rW6EJPuWBj3Mr/RgbUkruUPZI3oekvbmMl7PHG9Runsc0qoipPvx4\nq3D3hCGFGbcOIHNVHFOtOmhsuXY7vnztWVv1lLla3wQZeOD1Q0EGxQ+Vpg189GUmdwTTa5Eg\nVl99cNtAkZhSUBTVAHFODJAXGBd6naZDiVoCAbb6IvgVOKWO/gkog7TljIHkGyZk/JuGlyZ+\nIzKSgGhQQul4aFfNbGWnUjoDaYfvk8MRAQY7MnwwItapDGodRE+cp0RvoenGMTegLNMxMVke\nNEQPglsgONjdDl7Jjp8/kZd2+OAxjApolknQjqFGqHoYc4gsjWQgIpNk5pEOY08JZGa85Jrt\nQlIbc9Dy43SmxuOJmEpZuvC8KzTVvGS6lsmeYvsq10U/Y8fga/EsdxBChzhTgoo9nE+4WQF/\n7r5faU+Cq4aSgtsKaKo520HQ+Pua7/2rS/U/CGXY9w8JpLdgNl0KL2E48n58+BtreMTN4Arp\ngbC/3/39htx8w8HNHcSgKhgxPZ5RsaTkyLu/0Fb1fP07jWpmrOS98Jblwc4SsuvidvVNf6nN\n/Bd7GBtdp9Pzakxx6dXvykrYM5fObYj1SnzCU9YFDWRGzozDO9oyNkOeOCpDm3wTSEk9RRBT\nrHaVTz2lG4V5oo34gyJmg41+CjDghjTxQemCjuQOAqSgaaTtWR7ZPp+pZZrm7HMth5pmoBlu\nQaHEuwbxoJKrLz6RfG8WUE4Z1ZbtP4SAoqkXA6IrZ08CMjcJuLeOeNmACaQFDGTg+xUIuz+G\npEnMUFy8A4RRAP0TGOBQ4wyKALV1ipUnyPKTemM+x3IphQGtpsWt1iIzO6nvAkPIao0jGGRB\nKIjTnqSZE+hEjU/kxNqaWOWVHzqHCVDTlW4635epT0UNbaOtwztZrAO5m/cXFwfzCc9/ggr8\nkcn3hjS6dXMvZ43TOecT9R503pVDu7esn/GQQCoK11QW7edK+pqsdxj+eTM9S8AB0BhNiT13\nzYR4JEA66zaSv87SxVia9Ms3pf4yD7PSwnsITTGY8FMQcRmRBzokB+TObNxM/bRRdvXm2NQ0\nKrjeS7d4hy41FSAXfdZy+9cV9RsgbH3JM7zpqTsmB0T6gIestAf4iQYvuoDhy1SeMcddARAA\n8kcnQIctigM28Uc9387ABbXGo6aHuONcyrGHgJLcOP9H0EBnSt6tFGYmgSMQhCZVx+L2D9Mw\nm1WEwDfw0CnuyPn6AAZKuQE7XF1euAgKF1+Aiie4s98tBXMZFcA0PCzFMGCDLm/eJYxD0i1b\n0sU6Sk8Ae/Zo2bNAg66WCn1Ru/Us0AkENDPKEcjaQmDAiR+kmeHAuLd5e0ozug9NNUHEJ/ts\nFaaHl28sOcV/96boWrB+Tat7GqpZfeRavyOQnNkOH8N9MNkfaZ9zGuAXWFd2E+0VNvHXnkH3\n58WIGaW+joop48uH9dp9myk61tMisN7HNI7jxuDP6Y9NuRL4DwBpkacaZygJn7ysZ93HlxcO\nNkw7XHjwSUFKw6S5bTa1FwOlL8q1py0Z6BkpcIXj14gOdzloy+DX4Df6ZUy5i/RtGZ8Qp9Dc\n8Z+OGdtuKCIkZrWPOU2vrbcDebW40tAPbVApARUjfPar4kB7vvCGGHK7Iap82CMYblLhXJLF\njS4Iv1AOXNBSj4LtyXf0aTicM/aOx+owvOJQZuxrJ2Y4HeqSrlwwlMaLXbtDErnpNEGiScbm\nDBowjrDCN41xRmBPI/QBYnPuJ03WwA9oG0m9+S/Ox/NXt8Pc7wWoRutDs0LaGoe9oB4rZLNf\n09ENMiVJOsvQM7YrVkEuN/5Ax1SkdLZOznPPHOhI/I1O06tPsS6tNqWKIKRvsfieoK/rP4tk\nUqTIfbF6sef6/akbP8Y1e6nKbQ0Nh2pH7P1xS752xx92KZNeNHCnxE79wjK+fPiALHJnya47\nZLjfQqsAh+VdraD/+R8B0sDazjdtVGR86nwgxcsV5JR6EULPMDWE8anI40mn4hLEJnOXDnDP\nvIu99inZf1G7nqHN+BodF8c2vC0TiONWexRjJg1WJgDhKrUZ0rQWP4HE6xg7gFw0AiOfEizA\nwXqJ6DrQ8EaPyOfZGrAhdxr7cHnEp5ujcDEZOQqElzfoXGEhKM3SBniZDstwwkEE12xZdVcp\nDZEiG3BpaVOUAjfoOwZU7yC4bKupovBKIAgFiM2pCqpu6aFsry2Ed+1XdUZ30XITsuUYdxc0\nJcfJoHjey4HA6wl4DocEcxoKxqkjwOI/Zm18rKDNZkZPTvjOGUmXZyjPfZYn+OVOv4JpPmq2\n6nQvsdd78oyuAmGP25PwxeeESZMBIdwK/dVv5J+68T1dTUza3l5m8VIM03BzP7nfA/WRmk6Z\n0lTqU9Z3f0Fmw9H9P9zfflOAJ0B8IXb5R4D05G1AGqw2eqLVDEvendpv/teuzIbOzsHa75O1\nrWL9asy+W7x8KgNPu0T2FMnvetR9BqUXFI/BMIVrVMxYWUUL7dOR9T2bVtACqci1vcrE7fen\nIOMKloVvjkbjXxPGvrAnMo4PdfKmZ6nQYCoZuVHsB7HiTU1PSjlZAEHrslBcAGPyIJT6JMzh\n3VJ24Jm1PHk1ih03zelhcITy8WPc6WYHZ10G7l4FAksPDgbFH80t0NQX8z1DVZiCazXTCavO\nVSAIsWgYIGgDUy983sYHwj8ncpvvW0M1hjilaluvggRSZ1wFq5wwUwpkl+33doJskOwvUDox\n3XklezbhLx9BAS2W36ZBGGM4xXSEBAao38sHzf9431y/zLsnr96JRrgaGub1/8N3F767W/L0\n7fROu5SUdmXHeR4aSAuYLj/6YmxZ0u52WuOMNfUUP/ongLTUQ1WFi8PUXpbOMBJ9zGuEut3j\nZf6aqJaZ0RLzWnovGpKH3Rxil37ZPNEr9+qAIAkipwIk7KkE9RnzDzhLYyQtSLxVD/ZLDajJ\nx1KKDohSnF5igt4Bu9pKDpl5G0/6uQUoynSmtzXDtWFqG0inmAGLzsn7T3B/G36JTY2wCBCP\nV5FGOErDU4YbxzNBiFn5Ix65swJzYUnym5AjiQOw8ta7FRi2ZYDSC5H41NO4LAQxi9nlMb5O\nrFdEl4iCvf3JEPSMRcEhaiAHaB+denr2g6Mlf0rflA5ft3jyC/eBtuu7uHSc82lGezfEf080\n0JL0pdFdehAtUw/e1F5SfdSXBjMuCxz5J8NI22U1QPiT7hEOcX5YII0Dt+aW0Vfd4D5c/D9C\nBa4lnfeNOPU3Aen07iOl7897qCryNKOaGVjQUd2+VlADREt1aj/AKFeSitfyex5/OvYxPNOT\nIcA47owPhJo17K1wjDaV/Xhg1YePjeAk8LZddBVmCMTJaJ9U5Nt9AZZUguaYokDSTQxT4MnL\nhMIAaunUDFNTO67xOVwAIq5WJzfpby5hwqhBkD8fUH5TazvuEOhCk2SsXAdtZ75ZcALMZ6LT\ncLKqWxCQS5lS2vFp8DPiD0/ndhhx/RkST1MFn2AtAR4SRgmVAJn4N9lm7H+jAzHR48QgVKqL\nZwkdyn6lNFA0F71kYTcgXuj/A720NqBmyYIaoRn9l1mcWaOpHdljbp3FHFwXBWdcPe8n6IWE\nx9jdcLqmz/05hx2nqomoM/2cdp/TAP8UXh8SSD8rqadp2Gj6SyXNfaT+DQe/juhA2aLxfezv\nANJ2nqk/w3X5NiiNXv9sXWtpmfpxRrAq1U8J3syILFygf1rdXtspqY4Ld6v0UOkL8iGln6Qy\ndiQNkoUNNCiSVgNJyq2ObGdKxol9wxhbXDlEsH6i+pe0h0jA0NRMeE24EORkz2o8FU4oFTc3\nMoJuE078O4W2I7ZyLlRBKU79rxGwcSVuFt/EvQPl0StH+LiWmsV1da6DE3ynijOwGW9KkOVe\nQcAE1ni6EyQ1w1zBXszck664g3ItHSyN2HtzHb4Hz8mL/BiylltIC4cA+kpZCt0Lp+qxv4l0\nAuI/NpJpioQo+rEldIryfBhoBE3vk0FgCncnGiuqA9fH4BiYWhs0I7s1w1h3hGcXIX9xdOQp\nulP4C9rm/1ZFU6Nrrq7C/fSp+7qFL3jUv/edv50eEkiLYCdFINGPYdl97DnSDNwB83bQ3QsB\n/xogrZO6Hrh6eLa5tC/LgXpWMOe6/uBT1kHor77eOLKtYI3RmFzNy5eqIyxpz/D7eIC19d/7\nubnZ5qTMD8pDJ0ozbHQYOHLQhcaUJLmWBjBV7wSl4fM1YOa5P1lakV4hXPnSMLZdRcBorMtd\nAO7cScH+meYGW/KQoatyto8gTuZ+TAdrMMen9RS+nVtS7qpEwCUx9EZOuAougaiAUkR3l2xy\nYZS9fknVrl43xjGrQJrGfvMk/KVb+OZgZxwXUsqDLxalH2rJd+EOBxtDi8bgHK9ubBVjJQad\n3AjGfAGLPPQMrDqZjEpy06axRxoJHDS0gm75BI7N8BgRGeawhyg99v4vVQxSn1Pv1JIz6Tw/\n9nSb4z6OMYhbr7P0HUe3v4ARaMlbQ1oNXnc/8minofrLH6xoJt1bGbmNHhJIUzDIi0A6cX+Z\nDVe/VrMKijZPv1sQ7C8B0mVvNQVo180tNW5OTtpkqDzjtYnlHF+8X81CvNu6okjFef6rzhZ9\n1UnZfnZe15ZjD7iWn9/znetW/LJls7Mo80obYnSkSNVP0eewkdLzsGwydl7MAA1T3IZGafQL\nTSC7dZ3p6edylxn1AqUEpuAn2xTcopaqMvHQ2led9CW2B2yw5YtLEF2iwbmvAgU3BNMNvJBS\nOXMLjrpSn4RtPOO7Av+SczAW+U7AKkVmmR3iCHK1hLixO1PZntWqKT7EWymFWKxyi3y0On+S\nR3mQGiSzzxW/rik8u9Jw9S0/O+lpFkaOAOnTUGZCdfjZHSymtFZm4lXni55Asmd1ZsJyKr9+\nJ4SqFdkPCMUwUokuhJ62DUdv3YEB7rkkolqg0OMWV8+lBkZCrH9pw6pb6ZJfLx4MfNr4QOP6\n6EMDaSNsUIG0Dt584OPcmf4SIK3XO1NC6nW9w4pDXZPc0548sUAsWPHeggy7yw16uR8a8Qnv\nb/Pwa941g/Tll3Y/WjTW0Xhfj+SCVgc5zirFHaTpFAz0zYRA9m+w2B9IYV/w+jYL+wUV2Nmj\nPGJ4vI1kIjRsJvQn6CmVRZOrEOgWN5xVrfK5lQQtiPJNBXylQqUnQEsOIg/+mWtqqJq5q+99\nimMNpRDT3tjRQwG4TXY5MaFWW4BgA71JCOLYYkpZF/ZFPL5XI8h5uM6baZgDBYhDlVCpr9Wy\nE42Nk0n09a/hF/qlwpeD3o2OhIrx+JtazzeShEitPQAkrlCHgHPITqwPvZLpvEEGmBWnB32d\nnSRNt+W7pv76kC4nb75fp6xCleEDUiD0kU2kWGlWeaY44kEz3h4SSGfdw79DIP0UZH6Azv33\npL8ESM8kOt+MqHrXdYcUHjcqahFT6gm9+vHbP9HDxj4Im23myezfXboWey9vqCrbOm752bfq\n/qLiT2rYp72NqUYH4NzVrTPnf7CTZ3Gf5yXl4NmqDnE6ynBaZUqigoVETMNbQEXwxu6s+RIx\nu9h3++fQNQffm7jtzhM/seDbogUPzvyp+Zy/XSgiQimkbpVBpaT3vwl4XOSwwz2WAcCTF4Sb\n9mJoyfByZpiqJ+NRKV13ArlpEMphHgI3H0zIDnedVi410tghvBQTiMELMH+mQYsauC0VskTi\nX/J9Y+hNW5Et9JJloQOShqAuUh+kGhZRF7k3x+KcxcwoUgB71RzEcvUvtxizpq+aGOu4uSFk\nqsQnYb5CHlnbrVJW6VBWhvfd6GG9dhsFbZ45o6UR/h977wFeRfH9D5/ZcntJbnLTG0lIJYUU\n7bPkUQAAIABJREFUEnrvhN577x1pgoAgSBNBQEREEBUVRUFFxQZ2VBQV+CoKgggiIii9hGTe\nObO7tyQ3EJrv74H/PHB37+xsyd3zmVPmlOdu+DLXaLcFSK6cMhOaXHPc5Fxle0L2ris1pJri\n8rPKfokWJ/ejdJ7YeIScLyfmohn9yQAw6XQjL9J9sC5Un5kgpumU0PN3BAEqZAhMH+qjUeor\n90kbTrKtrmfVNLQArO5thyDGm3TVQELJaTzlvjjuBdZgl9oi+GAdgg1EX+ZrXCYN4kBLV1J+\n434yQPWpAFhhglTT8/Vhfh8DeLgzeADSzSBt+SK04hxK8pAbZYhAzPPcrkoS/fZ4SlYY1HrP\nKY5tJRi6PEs7i7nwIebzJw8Tkf6hFy+e12FG86oBImQ1kJudo4yZgiXWQcARwaaVJ5VfvAE0\noVfG6dij6Uf7j1cU2GS3bHeeqJyrmukWyOKa7X51DZH273aDZ97yOtJutARJ1csX0VHedluA\ntENQFoqLs6Zcc1xzLc9nxqNe/UmqW+0Z8jndKRylW+SNlA4oGA226iN/eUz/6AbjsjRB32Cd\nnziJPe2f7WVI+IxefsKkP9LSxAQfdKfzU/2p47cwvHFiZp9MOekpc2VDDzU0y5mbggWmY/0P\nzGinJiFuFoGBdpvHqEBr48Ic/xA1Kre4WY0ELqucBD5WcUERLcPBhRGiddaVlGxftuG8sxbi\nLYCx17rBYOJ2jyYcepyholCZGcqfwkKyAqy8RKafoeJPyKO4GV9IEoTm9HlYxhRKU1wS5NB9\nFTvT3QBYtfktEcSoge06K7+0Axoe7Re08SGBrDMYFr6LZuiTBnfB862glmZeADeyinoj7dlA\nFbfpD117YKl2i0Da/sQVWvzbL7f777otQCqu0pivCDxiOHjNcU0mqjvZC736g1/8+b6GVXpv\nLDZvoS+EUFoHDUjzDE6wzkzTSeMLfwTbhMVSa5NJz0PWXyWpeqS7iL01QW/h5uTujspRT/gh\n0Rm5U6gKFHi2Fll6EHlDcE1O6JwzJAB0MIGAORVCj3D7XiInbLYTpgeZbeQrc30Cwo0Cb0GP\niZGkkQsyYOZH2UO0SFTXsGx2F07xw5SnZRgajJ96xAFmbVQ5FyZtIS79jJCKIntKUYCarQTV\nVsFEQKGtzBW2GBmSaVHcBAkLeI5KWu2vYzSyQnhyHOZe2kn+t5KbbSch/hKJWeRoOQ2RWSIk\nmwNWoJ0lxRCKteuquxPdvQ5qSNFjcHsj/Nzt3wDFmLxW9+t1RpZst2y18xnAfqvt9pi/90cm\nPrxpRTOd7wJ9rjZalYvPGr2LDmZ2NlS7f343YxP4lr7qT4v1+LaTTUcBKkhWkGLb4ATZtv/7\nUMnQY9HcFmL74AF2ppwvbgVTaYv79gqYA3xfRipROAPqPKTD6YlIcaYOFRdRAtU0a5tqLODN\nB/MggeiP56P/UaJa7BSIcp0ML1WbcGZg/cbkAgo/6HJzIFKoD3sDGkI4C0XLhHaUcHuiEqKh\nKHUJeMhhh2of6yAalTr/eUS7M/TbDKSGk1vmV1Paq9ccEFuxRzf3FtkbTdP/S3nazIrLrWy4\nxHDs56+nO3X+Ur/1Wx6OgTHFfWMXvHV2P1RuGfjwufvljzA1jeuFHAcVVK1kV9+Jj3bdrjxA\nvL0m9fzg8CejpKU3euItAulXy00HLV6r3aYF2ZOTc/2Senx/nVHfCornyJgI73muP+ErSz/Z\nrEX0EPn6CvkUY7ra0Hho9fcc8+iBBPPaTW70DSSvqeIMrfvhRkh/dveOef7QldKebdII2Pk0\nnYVUpuQBZ9f/I4VP9g0qXRbc/OPicQDOOoIM4OmJ3S4BUnh2hSz+les8KBM61WD0oBAPVIGL\nIYme/kAeLUvyMk64mFjzMO4krt04gOeWTGe3meZhGleP2hhy7LK6bmRyX85lvyDQIc6s8+Nf\nK1S0WiOAXvnfTGm47cEPepK2x6cxzDu72tgVT/cPJaTGjzEScpilmSYxfJyhqaLkN4JPJgcO\nZXJ0Lr3qnO96Ib+Hmnl+3h9FzSTwbT57Nv2I8nhMl7d9VkcHUs6N13G9VR3p89jRX/11DtsN\n50K6RvsvM63+OidVqP3K0Q866UrkkehoaPYHpYVLRfnss33CIg+HPUXpIPiGJsEbdFlg3c1Y\nEOxw77YH2AQe3a6pMyhJ5EB8AIsYrhbrWkCP5jfzOIAJrPs3pCxDRU5gKGmJjD2EzIQ6uKBj\nP6b4rOGnP7IeWaXQbBArajVj3QgQSoVWKM1i0Qha7+5ED4tY1cshuK0bQXgbzcPIrwRzUoBD\n6FtevdoToP1DcVIyuEcTCYQVOi6IGpIeIegJMcQKYrNjzTm1vJklgFCzeQOHxdqVZ0UOhAoV\nphkS6xkMFkqLGNOTGSrDpMOjMb+dqKffk05oEM3D7LI56JFQtIgXEu33/SfDZbNqIf7a3GnX\nlX9erVDrdtIevXLgZnjcLQJpYYjLof76KYvL3/5DID2pTx/YgFG2XG9niSPxM7PkStX8rE8I\nRm5ci4he3lEIpoVikNRhDPhJSmyCUM8PlhVTemkoVOanTYKaczMt4J8D0Oe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OAx4CXKvAaHQ/wb7o22JsIzRegI6sa4mBLoIYeiypxTeX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\nnsxUPMmVbQL0kEk+pyrIXEfVUlbMBfRmon7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au7cwdKV/M5CK7VL6xGEwnVkzYfL6v4zQ+wS5zfXJ0/oixj9XBZ92Nl4b8cwQ4GpFxNnI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\nakMjrKM9Zxcj3UNDu/kEGKVYHv09HuAGRUXfnJW8FMubp037KeYn94R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"text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "plot(fitted(out1), resid(out1),xlab=\"fitted\",ylab=\"resid\")" ] }, { "cell_type": "code", "execution_count": 10, "id": "d54ce29d-98ce-438a-a4ef-1b4c7044c96c", "metadata": {}, "outputs": [ { "data": { "image/png": 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Um0mXE66T9x4sQ2pM/EbdaTvpcVqiLR3/+cItmNo/NLJHhU+DivSJzBU79wQaSQ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"text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "hexbin(x=fitted(out1),y=resid(out1),xbins = 40) |>\n", " gplot.hexbin(x=_,trans=sqrt,inv=\\(x) x^2,\n", " ,xlab=\"fitted\",ylab=\"resid\")" ] }, { "cell_type": "markdown", "id": "89f53937-c0ae-43fe-b2da-1c4c67a2871d", "metadata": {}, "source": [ "We can fit quadratic and cubic terms which improve the fit, but don't decrease\n", "the prediction error." ] }, { "cell_type": "code", "execution_count": 11, "id": "91211492-908e-4d6b-87c2-e399c414f427", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "\n", "Call:\n", "lm(formula = SBP ~ sex + DBP + I(DBP^2), data = uric)\n", "\n", "Residuals:\n", " Min 1Q Median 3Q Max \n", "-39.646 -8.070 -0.385 7.374 71.879 \n", "\n", "Coefficients:\n", " Estimate Std. Error t value Pr(>|t|) \n", "(Intercept) 1.291e+02 3.487e+00 37.019 < 2e-16 ***\n", "sex -4.165e-01 1.546e-01 -2.694 0.00707 ** \n", "DBP -7.982e-01 9.327e-02 -8.558 < 2e-16 ***\n", "I(DBP^2) 1.000e-02 6.239e-04 16.028 < 2e-16 ***\n", "---\n", "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", "\n", "Residual standard error: 11.52 on 25740 degrees of freedom\n", "Multiple R-squared: 0.2222,\tAdjusted R-squared: 0.2221 \n", "F-statistic: 2451 on 3 and 25740 DF, p-value: < 2.2e-16\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "( out2 <- lm(SBP ~ sex + DBP + I(DBP^2),data=uric) ) |> summary()" ] }, { "cell_type": "code", "execution_count": 12, "id": "5898a790-e485-4648-80ed-e2ca9a4a049f", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "\n", "Call:\n", "lm(formula = SBP ~ sex + poly(DBP, 3), data = uric)\n", "\n", "Residuals:\n", " Min 1Q Median 3Q Max \n", "-39.396 -7.986 -0.393 7.338 72.148 \n", "\n", "Coefficients:\n", " Estimate Std. Error t value Pr(>|t|) \n", "(Intercept) 126.3224 0.2678 471.633 < 2e-16 ***\n", "sex -0.4076 0.1546 -2.637 0.00837 ** \n", "poly(DBP, 3)1 965.3750 11.6666 82.747 < 2e-16 ***\n", "poly(DBP, 3)2 184.6938 11.5185 16.035 < 2e-16 ***\n", "poly(DBP, 3)3 -54.7501 11.5191 -4.753 2.02e-06 ***\n", "---\n", "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", "\n", "Residual standard error: 11.52 on 25739 degrees of freedom\n", "Multiple R-squared: 0.2229,\tAdjusted R-squared: 0.2228 \n", "F-statistic: 1846 on 4 and 25739 DF, p-value: < 2.2e-16\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "( out3 <- lm(SBP ~ sex + poly(DBP,3),data=uric) ) |> summary()" ] } ], "metadata": { "jupytext": { "formats": "ipynb,Rmd" }, "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": "4.4.2" } }, "nbformat": 4, "nbformat_minor": 5 }