{ "cells": [ { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "# Lab 9: Regression" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "In the previous lab, you learned to make scatterplots and compute correlation\n", "coefficients. This supplement will show you how to fit lines to data and estimate confidence intervals for a regression.\n", "\n", "In this lab, as in Lab 8 on Correlation, you will study the correlation between head size (cubic centimeters) and brain weight (g) for a group of women. " ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "1. As usual, import pandas, Numpy and Seaborn. For regression, we'll also import sub-libraries to plot lines and calculate regression lines and correlation coefficients." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "#TODO\n", "import pandas as pd\n", "import numpy as np\n", "import seaborn as sns\n", "import matplotlib.pyplot as plt # Adds sub-library to plot line\n", "import scipy.stats as stats # Adds sub-library to calculate regression line and correlation coefficient" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "2. Using pandas, import the file `brainhead.csv` and view the resulting data frame. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " Head Size Brain Weight\n", "0 2857 1027\n", "1 3436 1235\n", "2 3791 1260\n", "3 3302 1165\n", "4 3104 1080\n", ".. ... ...\n", "98 3214 1110\n", "99 3394 1215\n", "100 3233 1104\n", "101 3352 1170\n", "102 3391 1120\n", "\n", "[103 rows x 2 columns]" ] }, "execution_count": 2, "metadata": { }, "output_type": "execute_result" } ], "source": [ "brainhead=pd.read_csv(\"brainhead.csv\")\n", "brainhead" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "3. Make a scatterplot of your data. Don’t plot a regression\n", "line. Note: The general syntax for making a scatterplot from a pandas\n", "dataframe `df` without fitting a line to it (or showing histograms of variables) is:\n", "`sns.lmplot(\"xvar\",\"yvar\",data=df,fit_reg=False)`." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 3, "metadata": { "image/png": { "height": 351, "width": 352 }, "needs_background": "light" }, "output_type": "execute_result" } ], "source": [ "p=sns.lmplot(\"Head Size\", \"Brain Weight\", data=brainhead, fit_reg=False)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "4. Compute the appropriate correlation coefficient and explain why you chose to use that correlation coefficient. In regression, we use the term $R^2$ as the fraction in variance of $y$ that is explained by variance in $x$ and $R^2$ is the square of the Pearson correlation coefficient. Interpret your $R^2$ value. NOTE: Because this time we imported the whole `scipy.stats` library, your syntax will have to be slightly different from last time." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(0.7751367523575622, 7.322470239243089e-22)" ] }, "execution_count": 4, "metadata": { }, "output_type": "execute_result" } ], "source": [ "stats.pearsonr(brainhead[\"Head Size\"], brainhead[\"Brain Weight\"])" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "There are several Python functions that can perform linear regression. We\n", "will use one of the simplest, `linregress` from the `scipy.stats` library. The basic syntax is `reg = stats.linregress(xcolumn, ycolumn)`. You can then use\n", "`reg.slope` and `reg.intercept` to get the slope and intercept of your regression line." ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "5. Run a linear regression on your data and obtain the slope and y-intercept." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "LinregressResult(slope=0.27280169736173243, intercept=286.087017845948, rvalue=0.775136752357563, pvalue=7.3224702392419185e-22, stderr=0.022124995929903527)" ] }, "execution_count": 5, "metadata": { }, "output_type": "execute_result" } ], "source": [ "reg=stats.linregress(brainhead[\"Head Size\"], brainhead[\"Brain Weight\"])\n", "reg" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0.27280169736173243" ] }, "execution_count": 6, "metadata": { }, "output_type": "execute_result" } ], "source": [ "slope=reg.slope\n", "slope" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "286.087017845948" ] }, "execution_count": 7, "metadata": { }, "output_type": "execute_result" } ], "source": [ "intercept=reg.intercept\n", "intercept" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "6. Write the equation for your line and briefly explain what it means" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "y=slope+intercept" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "We would now like to plot this regression line. We can do this by picking a\n", "bunch of $x$ values, computing the corresponding $y$ values and plotting the result.\n", "\n", "The Numpy command `linspace` generates an array with a specified number\n", "of values between your min and max values. (The rather odd name comes from\n", "the widely used program Matlab, which Numpy and matplotlib often emulate.)\n", "Because you can do arithmetic directly on Numpy arrays, it is then simple to\n", "compute your y values. For example, the following code computes points on the\n", "line $Y = 5X + 10$ for 100 $X$ values between 0 and 7.\n", "\n", "`X_plot = np.linspace(0, 7, 100)`\n", "\n", "`Y_plot = 5*X plot+10`\n", "\n", "The matplotlib command `plot` from the sublibrary `pyplot` (which we've called `plt`) can then plot `X_plot` and `Y_plot` on top of\n", "your scatterplot. Just run it in the same cell as the scatterplot code." ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "7. Using appropriate max and min values, compute 100 points on your line. View the result." ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 36, "metadata": { }, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 36, "metadata": { "image/png": { "height": 411, "width": 716 }, "needs_background": "light" }, "output_type": "execute_result" } ], "source": [ "X_plot1=np.linspace(2700, 4200, 100)\n", "Y_plot1=0.27280169736173243*X_plot+286.087017845948\n", "plt.plot(X_plot1, Y_plot1, color=\"orange\")" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "8. Copy your scatterplot code. Then, overlay a plot of your regression line on top of it." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 22, "metadata": { }, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "execution_count": 22, "metadata": { "image/png": { "height": 351, "width": 352 }, "needs_background": "light" }, "output_type": "execute_result" } ], "source": [ "p=sns.lmplot(\"Head Size\", \"Brain Weight\", data=brainhead, fit_reg=False)\n", "plt.plot(X_plot, Y_plot, color=\"orange\")" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "## Finding a Confidence Interval" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "As before, we would like to know how the regression line might be different if we had a somewhat different dataset. The resampling method to find the relevant confidence intervals is almost the same as the one for correlation. The only significant difference is that you will need to keep track of the slopes of regression lines this time.\n", "\n", "Note: it is not appropriate to calculate confidence intervals for slope and y-intercept separately since they are calculated together for each simulation. Instead you could graph the regression line of all simulations on one graph to get a visualization of the confidence interval of the regression line." ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "9. Find the 99% confidence intervals for the slope of your regression line." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "#TODO" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "## Orthogonal Regression" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "So far, we have performed ordinary least squares regression, which minimizes the vertical distance from a point to the predicted value. This assumes that we know the x-value with much greater precision than the y-value, but often this isn't the case. In such situations, it's better to use orthogonal regression, which minimizes the total distance between the observed and predicted values. This can be done using the Scipy ODR (orthogonal distance regression) library." ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "10. Import the `scipy.odr` library as `odr`." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "import scipy.odr as odr" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "The functions we will now use work best with Numpy arrays, so let's make a Numpy array version of the brainhead dataset.\n", "\n", "11. Make such an array." ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "hs=np.array(brainhead[\"Head Size\"])\n", "bw=np.array(brainhead[\"Brain Weight\"])" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "In order to run the ODR fitting function, we need to specify the type of function we want to fit and the data to which we will fit it. There are a couple of different ways to specify the function, but the simplest uses the scipy.odr built-in `polynomial` function. The syntax to create a polynomial of degree $n$ is just `odr.polynomial(n)`. (Remember that the degree of a polynomial is the highest power in it.)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "12. Use the `polynomial` function to create a linear function and assign it to a variable. HINT: A line is a polynomial of degree 1." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "lin=odr.polynomial(1)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "We also need to create a data object using the `odr.Data` function. In its simplest form, which we will use here, this object can be made from just an array of $x$ values and an array of $y$ values. The syntax is `odr.Data(xvals, yvals)`. (Yes, capitalization matters.)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "13. Using indexing, make such an object and assign it to a variable." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "data=odr.Data(hs, bw)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "We can now fit the model function we made earlier to our data. This takes two lines:\n", "\n", "`myODR = odr.ODR(data, model) #Capitalization matters`\n", "\n", "`ODRfit = myODR.run()`\n", "\n", "We can now use the `pprint` function (not a typo!) to view the y-intercept and slope of the regression line. The syntax is:\n", "\n", "`ODRfit.pprint()`\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "14. Fit a line to the brain-head data as described. Find the slope and y-intercept." ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Beta: [241.24058642 0.28591361]\n", "Beta Std Error: [7.62152398e+01 2.22019640e-02]\n", "Beta Covariance: [[ 1.44087854e+00 -4.18204199e-04]\n", " [-4.18204199e-04 1.22271860e-07]]\n", "Residual Variance: 4031.403487638505\n", "Inverse Condition #: 2.4863646051725723e-05\n", "Reason(s) for Halting:\n", " Sum of squares convergence\n" ] } ], "source": [ "myODR=odr.ODR(data, lin)\n", "ODRfit=myODR.run()\n", "ODRfit.pprint()" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "15. Like before, use the slope and intercept you found to plot the regression line on top of the data." ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 40, "metadata": { }, "output_type": "execute_result" }, { "data": { "image/png": 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/aK31t5J8Nck8ycWllLWT9DK/Zeu6vX/5S1vX5+pcPtkeAAAAAEid1nQf79Ld0yXTbQu9ZPTBUcbXjtMb612GZ53pkPmRJP/oOdZ+JsmFSf5Fkie37k2ttSul3JPk2q1vt6/s+8Nb19u2zb6a5JtJ3lpKeVOt9esvYA8AAAAAh1itNZuf20x7W5v6ZF1aG7xtkOamJv1X6F2GVWc0ZK61fjrJf3WytVLKHTkRMv+1WuvDK8v/ICcC5l8tpdxUa+229lyR5OeT/CDJv9r289RSyq8l+V+T/O+llJ+vtS629vwnW2/rC0k+egrfPQAAAAD2qdm3Z9n43Y3Mf3+5d7n/6n6ao00Gb9S7DM/llITMpZSfTfKzWz+8cOt6VSnln2x9/4e11r/6En6K30zyx5L8XJJPlVJ+O8krciJg7if5s7XWJ1f2/O0kf2Rrz72llFuTvD7Jn0iykeTPPBs8AwAAAHA4zX88T3tbm+nnp0vzclZJc0OT4Xv1LsPzOVVPMr8vyZ9emV289S1JvpFkxyHz1pPJfzLJPUn+TJJfStIluTPJr9Za7znJnkkp5UiS/z7Jn0zyyzlRw/FbSf56rfULOz0PAAAAAPtb3azpPtal+0SXbP8KYP1kfOU442vGKSPhMrwQpdb6/HdxUqWUBy677LLLHnjggd0+CgAAAAAvQK01m5/ZTHt7m/r0Su/ypVu9yy/Xu8zhc/nll+fBBx98sNZ6+Yvde6a/8B8AAAAA7IrpN6Zpj7WZf3eld/k1/awfXc/a60VlsBP+5AAAAABwoM0fn6e9pc3091Z6l1+21bv8nmFKUY0BOyVkBgAAAOBAql1Ne3ebyX2TZPvDy2vJ+KpxxlePU4bCZXiphMwAAAAAHCh1UbP5qc20d7SpG8u9y8N3DdPc2KR3bm+XTgcHj5AZAAAAgANj+rVp2uNt5t9f6V2+qJ/1n17P2kXiMDjV/KkCAAAAYN+b/2ie9nib6VdWepfPKVm/aT2Ddw70LsNpImQGAAAAYN9atIt0d3aZ3D9JFtsWBsn4w+OMPzROGQiX4XQSMgMAAACw79R5zeSBSbo7u9R2pXf5vcM0NzTpvUzvMpwJQmYAAAAA9pXpw9NsHNvI4keLpfna69fSHG2y9hqRF5xJ/sQBAAAAsC/Mvz/Pxi0bmX11tjTvnddLc3OTwdv1LsNuEDIDAAAAsKctNhbpPtpl8sAk2d6MMUyaa5uMPjhKWRMuw24RMgMAAACwJ9V5zeSTW73Lk23pckmG7x+mua5J72y9y7DbhMwAAAAA7Cm11ky/PE17S5vFYyu9y29aS3OkydqrxVqwV/jTCAAAAMCeMfvuLO3xNrNHVnqXz++lOdJk8Ba9y7DXCJkBAAAA2HWLpxdp72iz+anNpXkZl4w/Ms7oA6OUvnAZ9iIhMwAAAAC7ps5qJvdO0t7dJtvz5ZKMLh9lfN04vXW9y7CXCZkBAAAAOONqrZl+cZr21jaLH6/0Ll+ylvWb19O/oL9LpwNeDCEzAAAAAGfU7NFZ2t9tM/vWSu/yK3tZP7KewSWDXToZsBNCZgAAAADOiMVTi7S3tdl8aKV3uSkZXzfO6PJRSk/vMuw3QmYAAAAATqs6rek+3qW7p0um2xZ6yeiDo4yvGafX6F2G/UrIDAAAAMBpUWvN5uc2097Wpj5Zl9YGbx2kublJ/xV6l2G/EzIDAAAAcMrNvj3LxrGNzL8zX5r3X9VPc7TJ4E16l+GgEDIDAAAAcMosnlhk49aNTD8/XZqXs0qa65sM3zfUuwwHjJAZAAAAgJesbtZ0H+vSfaJLZtsW+snoylGaa5qUkXAZDiIhMwAAAAA7VmvN5kNbvctPr/QuXzpIc1OT/sv1LsNBJmQGAAAAYEem35imPdZm/t2V3uUL+2l+usng9XqX4TAQMgMAAADwoswfn6e9tc30iyu9y2eXNDc2Gb5nmFJUY8BhIWQGAAAA4AWpk5r2rjaT+ybJ9oeX15LxVeOMrx6nDIXLcNgImQEAAAD4ieqiZvPTm2nvaFOfWe5dHr5rmObGJr1ze7t0OmC3CZkBAAAAeE7Tr2/1Ln9/pXf5on7Wj65n7afES3DY+SgAAAAAwH9g/qN52lvaTL+80rt8Tsn6jesZvGugdxlIImQGAAAAYJtFu0h3V5fJJyfJYtvCIBlfPc74qnHKQLgM/AEhMwAAAACpi5rJA5N0H+1S25Xe5fcM09zQpHeO3mXgPyRkBgAAADjkpg9Ps3F8I4sfLpbma69bS3O0ydprRUjAc/MRAgAAAOCQmv9gno3jG5l9dbY0753XS3NTk8GlepeB5ydkBgAAADhkFhuLdB/tMnlgkmxvxhgmzTVNRleOUtaEy8ALI2QGAAAAOCTqvGbyyUm6u7rUbqV3+f3DNNc36Z2tdxl4cYTMAAAAAAdcrTXTL0/T3tJm8dhK7/Ib19IcabJ2oZgI2BkfPQAAAAAOsNn3ZmmPt5l9faV3+fxempubDN6qdxl4aYTMAAAAAAfQ4ulF2jvabH56c6l3uYxKxh8ZZ3TFKKUvXAZeOiEzAAAAwAFSZzWT+yZp72qTzW0LJRldPsr4unF663qXgVNHyAwAAABwANRaM/3iNO2tbRY/XuldfvNa1o+sp39Bf5dOBxxkQmYAAACAfW726CztsTazb670Lr+yl/Uj6xlcMtilkwGHgZAZAAAAYJ9aPLVIe3ubzc9sLs1Ls9W7fLneZeD0EzIDAAAA7DN1WtN9vEt3T5dMty30ktEVo4yvHafX6F0GzgwhMwAAAMA+UWvN9PPTbNy6kfpkXVobvGWQ5kiT/iv0LgNnlpAZAAAAYB+YfXuWjWMbmX9nvjTvXdDL+tH1DC7WuwzsDiEzAAAAwB62eGKR9rY2m59b6V1eL2mubzJ8/zClp3cZ2D1CZgAAAIA9qG7WdPd06T7eJbNtC/1k9MFRmmualLFwGdh9QmYAAACAPaTWms2HNtPe1qY+vdK7/PZBmpua9M/XuwzsHUJmAAAAgD1i+s1p2mNt5o8u9y73L+ynOdpk8Aa9y8DeI2QGAAAA2GXzx+dpb20z/eJ0aV7OLmluaDJ8j95lYO8SMgMAAADskjqpae9uM7l3kmx/eHktGX9onPGHxylD4TKwtwmZAQAAAM6wuqjZ/PRm2jva1GdWepffOUhzY5P+eXqXgf1ByAwAAABwBk2/vtW7/P2V3uXX9rN+dD1rrxPXAPuLj1oAAAAAZ8D8R/O0t7SZfnmld/mckubGJsN3DVOKagxg/xEyAwAAAJxGi3aR7q4uk09OksW2hUEyvnqc8VXjlIFwGdi/hMwAAAAAp0Fd1EwenKS7o0ttl3uXh+8ZprmhSe+c3i6dDuDUETIDAAAAnGLTh6fZOL6RxQ8XS/P+67Z6l18rkgEODh/RAAAAAE6R+Q/m2bhlI7OHZ0vz3rm9NDc1GbxjoHcZOHCEzAAAAAAv0WJjke7OLpP7J8n2Zoxh0lzTZHTlKGVNuAwcTEJmAAAAgB2q85rJ/ZN0d3ap3Urv8vuHaa5v0jtb7zJwsAmZAQAAAF6kWmumX5mmPd5m8dhy7/LaG9bSHG2ydqHYBTgcfLQDAAAAeBFm35ulPd5m9vWV3uWX99Lc3GTwNr3LwOEiZAYAAAB4ARbPLNLe0WbzU5tLvctlVDK+dpzRFXqXgcNJyAwAAADwE9RZzeS+Sdq722SybaEko8tGGV83Tu8svcvA4SVkBgAAADiJWmumvzdNe2ubxeMrvcsXr2X9yHr6r+rv0ukA9g4hMwAAAMCK2aOztMfazL650rv8il7Wj6xn7ZI1vcsAW4TMAAAAAFsWTy3S3t5m8zObS/MyLhlfN87o8lFKX7gMsJ2QGQAAADj06rSm+0SX7mNdMt220EtGHxhl/JFxeo3eZYCTETIDAAAAh1atNdPPT9Pe1mbxxHLv8uAtgzQ3N+m/Uu8ywE8iZAYAAAAOpdl3Ztk4tpH5t+dL894FvawfXc/g4sEunQxgfxEyAwAAAIfK4olF2tvabH5upXd5vaS5vsnw/cOUnt5lgBdKyAwAAAAcCnWzprunS/fxLpltW+gloytHaa5pUsbCZYAXS8gMAAAAHGi11mw+tJn29jb1qbq0Nnj7IM1NTfrn610G2CkhMwAAAHBgzb41y8bvbmT+6HLvcv/CfpqjTQZv0LsM8FIJmQEAAIADZ/7jedpb20y/MF2al7NLmhuaDN+jdxngVBEyAwAAAAdGndR0d3fp7u2S7Q8v95PxVeOMrx6njITLAKeSkBkAAADY9+qiZvMzW73Lz6z0Lr9zkObGJv3z9C4DnA5CZgAAAGBfmz4yTXuszfx7K73Lr+1n/eh61l4n/gA4nXyUBQAAAPal+WPztLe0mX5ppXf5ZSXNjU2G7x6mFNUYAKebkBkAAADYVxbdIt1dXSb3TZLFtoXBVu/yVeOUoXAZ4EwRMgMAAAD7Ql3UbD64mfajberGcu/y8N3DNDc26Z3T26XTARxeQmYAAABgz5t+dZqN4xtZ/GCxNO//VD/rP72etdeKOAB2i4/AAAAAwJ41/+E8G8c3Mnt4tjTvndtLc1OTwTsGepcBdpmQGQAAANhzFhuLdHd2mdw/SbY3YwyT8YfHGX9onLImXAbYC4TMAAAAwJ5R5zWT+yfp7uxSu5Xe5fcN09zQpHe23mWAvUTIDAAAAOy6WmumX5mmPd5m8dhy7/LaG9bSHG2ydqEYA2Av8tEZAAAA2FXz7231Ln99pXf55b00NzcZvE3vMsBeJmQGAAAAdsXimUXaO9psfmpzuXd5lDTXNhldMdK7DLAPCJkBAACAM6rOaib3TdLe3SaTbQslGV42THNdk95ZepcB9gshMwAAAHBG1Foz/b1p2lvbLB5f6V2+eC3rR9bTf1V/l04HwE4JmQEAAIDTbvboLO3xNrNvrPQun9/L+tH1rF2ypncZYJ8SMgMAAACnzeKpRdrb22x+ZnNpXsYl44+MM/rAKKUvXAbYz4TMAAAAwClXpzXdvV26u7tkum2hl4w+MMr4I+P0Gr3LAAeBkBkAAAA4ZWqtmX5+mva2NosnlnuXB28ZpLm5Sf+VepcBDhIhMwAAAHBKzL4zy8axjcy/PV+a9y7oZf3IegZvHuzSyQA4nYTMAAAAwEuyeHKR9rY2m59d6V1eL2mubzJ8/zClp3cZ4KASMgMAAAA7Ujdruo936e7pktm2hV4yunKU8TXj9MZ6lwEOOiEzAAAA8KLUWrP52c20t7WpT9WltcHbtnqXz9e7DHBYCJkBAACAF2z2rVk2fncj80eXe5f7r+6nOdpk8Ea9ywCHjZAZAAAAeF7zH8/T3tpm+oXp0rycVdLc0GT4Xr3LAIeVkBkAAAB4TnVS032sS/eJLtn+8HI/GX9onPGHxykj4TLAYSZkBgAAAP4DdVGz+ZnNtLe3qc+s9C6/Y5Dmpib98/QuAyBkBgAAAFZMH5mmPdZm/r2V3uXX9LN+dD1rrxcnAPAHfFYAAAAAkiTzx+Zpb2kz/dJK7/LLSpobmwzfPUwpqjEAWCZkBgAAgEOudjXt3W0m906SxbaFtWR89Tjjq8YpQ+EyACcnZAYAAIBDqi5qNj+1mfaONnVjuXd5+O5hmhub9M7p7dLpANgvhMwAAABwCE2/Os3G8Y0sfrBYmvd/aqt3+SKRAQAvjM8YAAAAcIjMf7jVu/yV5d7l3rm9NDc1GbxjoHcZgBdFyAwAAACHwKJdpLuzy+T+ld7lQTK+ZpzxleOUgXAZgBdPyAwAAAAHWJ3XTB6YpPtol9qt9C6/b5jm+ia9l+ldBmDnhMwAAABwANVaM3t4dqJ3+UfLvctrb1hLc6TJ2mvEAgC8dD6bAAAAwAEz//48G8c3MvvabGnee/lW7/Lb9S4DcOoImQEAAOCAWDyzSPfRLpMHJ8n2ZoxR0lzbZHTFKGVNuAzAqSVkBgAAgH2uzmomn5yku6tLnWxLl0syvGyY5romvbP0LgNwegiZAQAAYJ+qtWb6pWnaW9osHl/pXX7TWtaPrKf/6v4unQ6Aw0LIDAAAAPvQ7LuztMfazL6x0rt8fi/NkSaDt+hdBuDMEDIDAADAPrJ4epH29jabn95cmpdxyfgj44w+MErpC5cBOHOEzAAAALAP1FlN94ku3Ra+v40AACAASURBVMe6ZHu+XJLRB0YZXzdOr9G7DMCZJ2QGAACAPazWmukXpmlvbbN4YqV3+ZK1rN+8nv4FepcB2D1CZgAAANijZr8/y8axjcy/NV+a917Zy/rR9QzePNilkwHAHxAyAwAAwB6zeHKR9rY2m59d6V1uSprrmwwvG6b09C4DsDcImQEAAGCPqNOa7p4u3ce7ZLptoZeMPjjK+NpxemO9ywDsLUJmAAAA2GW11mx+djPt7W3qk3VpbfC2QZqbmvRfoXcZgL1JyAwAAAC7aPatrd7l31/uXe6/up/mSJPBm/QuA7C3CZkBAABgF8x/PE97a5vpF6ZL83LWVu/y+/QuA7A/CJkBAADgDKqTmu5jXbpPdMn2h5f7yfjKccbXjFNGwmUA9g8hMwAAAJwBdVGz+dBW7/LTK73Ll271Lr9c7zIA+4+QGQAAAE6z6SPTtMfazL+30rv8mn6ao00Gr9e7DMD+JWQGAACA02T+2DztLW2mX1rpXX5ZSXNDk+F7hilFNQYA+5uQGQAAAE6x2tW0d7eZ3DdZ7l1eS8ZXjTO+epwyFC4DcDAImQEAAOAUqYuazU9tpr2jTd1Y7l0evmuY5sYmvXN7u3Q6ADg9hMwAAABwCky/Ns3GsY0sfrBYmvcv6mf9p9ezdpGX4AAcTD7DAQAAwEsw/+FW7/JXVnqXzylZv2k9g3cO9C4DcKAJmQEAAGAHFu0i3Z1dJvdPku0PLw+S8YfHGX9onDIQLgNw8AmZAQAA4EWo85rJA5N0d3ap7Urv8nuHaW5o0nuZ3mUADg8hMwAAALxA04e3epd/tNy7vPb6tTRHm6y9xstsAA4fn/0AAADgecy/P8/GLRuZfXW2NO+d10tzc5PB2/UuA3B4CZkBAADgOSw2Fuk+2mXywCTZ3owxTJprm4w+OEpZEy4DcLgJmQEAAGBFnddMPrnVuzzZli6XZPi+YZrrm/TO1rsMAImQGQAAAP69WmumX56mvaXN4rGV3uU3raU50mTt1V5KA8B2PjMCAABAktl3Z2mPt5k9stK7fP5W7/Jb9S4DwMkImQEAADjUFk8v0t7RZvNTm0vzMi4Zf2Sc0QdGKX3hMgA8FyEzAAAAh1Kd1XSf6NJ9rEu258slGX1glPFHxumt610GgOcjZAYAAOBQqbVm+sVp2lvbLH680rt8yVrWb15P/4L+Lp0OAPYfITMAAACHxuz3Z2mPtZl9a6V3+ZW9rB9Zz+CSwS6dDAD2r1Py//2UUn6ulPJ3Syl3lVKeLKXUUso/fY57X1dK+T9KKfeWUr5bSpmUUn5/a+8vllKe8zN6KeVPl1LuK6U8XUp5opRyRynlj/yE+/ullF8upTxUSmlLKY+VUn6nlHL1qXi/AQAA2B8WTy7yzL9+Jk/9o6eWAubSlDR/qMk5f+4cATMA7NCpepL5V5K8N8nTSb6d5O0/4d43J/nPktyb5LeSPJbkFUn+cJJ/nORPlVKO1lqX/lm5lPK3kvyVrbf/60mGSX4hyW+XUn6p1vr3Vu4vSX4zyc8l+VKSv5fk/CQ/n+TOUsofr7X+65fyTgMAALC31WlN9/Eu3T1dMt220EtGV4wyvnacXqN3GQBeilMVMv9yToS/Dye5LsntP+Hee5K8vNa6VHy19QTzsSQ3JPljSf75trWrcyJg/mqSK2qtj2/N/2aSB5L8rVLKv6m1PrLtTf5CTgTM9yS5qdbabe35tSR3J/n1UspttdandvpOAwAAsDfVWrP5uc20t7WpT9altcFbB2lubtJ/hd5lADgVTsk/19Zab6+1fqXWWl/AvZurAfPWfJoTTzYnyVtWlv/81vVvPBswb+15JMnfTzJK8osre/7C1vVXng2Yt/Z8Msk/S3JBToTQAAAAHCCzb8/y1G88lY3f2lgKmPuv6ufs//zsnP3zZwuYAeAU2jNf+K+U0k/yH2398KGV5Ru3rv/fSbb+uyT/49Y9f33rbY2TXJ1kI8ldz7HnT23t+Y0XcLYHnmPpJ9WCAAAAcAYtnlhk49aNTD8/XZqXs0qaG5oM3ztM6ZVdOh0AHFy7FjKXUl6Z5C8lKTnxVPGRJJck+X9qrb+97b6zklyU5Ola66MneVNf2bq+ddvszUn6Sb622u38E/YAAACwD9XNmu5jXbpPdMn2V4D9ZHTlKM01TcpIuAwAp8tuPsn8ymw9ebylJvlbSf7ayn3nbl2feI638+z8vJe45znVWi8/2XzrCefLXsjbAAAA4NSqtWbzoa3e5adXepcvHaS5qUn/5WoxAOB027WQudb6e0nKVk3GRUn+aJL/Jck1pZSfqbU+tltnAwAAYG+bfnOa9lib+aPzpXn/Nf00R5sMXj/YpZMBwOGz653MtdZ5km8m+TullO8l+X9zImz+S1u3PPvU8bkn2b59/uNts53sAQAAYI+bPz5Pe0ub6e+t9C6fXdLc2GT4nmFKUY0BAGfSrofMK/7d1vX6Zwe11mdKKd9JclEp5TUn6WV+y9b1y9tmX00yT3JxKWXtJL3MJ9sDAADAHlUnNe1dbSb3TU682nvWWjK+apzx1eOUoXAZAHZDb7cPsOKiretqKHzb1vUPnWTPH165J7XWLsk9SdaTXPtC9gAAALD31EXN5MFJnvj7T2Ty8eWAefiuYc79b85Nc30jYAaAXXTGQ+ZSymVbPcyr87OT/J2tH/7bleVf27r+D6WUl2/b88YkfzHJJMlvrOz5B1vXXy2ljLftuSLJzyf5QZJ/tbP3AgAAgNNt+vVpnvr1p7LxbzdSn/mDL+zXv6ifl/3iy3LWHz0rvXP32rNTAHD4nJK6jFLKzyb52a0fXrh1vaqU8k+2vv/DWutf3fr+/5Tkw6WUe3Kii3kjyety4uni83LiCeT/bfvbr7XeU0r520n+cpKHSin/MskwJ8Li85P8Uq31kZVj/WaSP5bk55J8qpTy20lesbWnn+TP1lqffInvOgAAAKfY/EdbvctfXuldPqdk/ab1DN450LsMAHvIqepkfl+SP70yu3jrW5J8I8mzIfOvJ3k6yQdzont5PcnjSR5I8s+T/OOTdCin1vpXSimfzYknl//rJIskDyb5m7XWf3OS+2sp5U/mRGj9Z5L8UpIuyZ1JfrXWes9O31kAAABOvUW7SHdXl8knJyde8T1rkIw/PM74Q+OUgXAZAPaaUmt9/rs4qVLKA5dddtllDzzwwG4fBQAAYN+q8xO9y91Hu9R2+TXq8L3DNDc06b1MLQYAnE6XX355HnzwwQdrrZe/2L2n6klmAAAAeNGmD0+zcXwjix8uluZrr19Lc7TJ2mu8bAWAvc5nawAAAM64+Q/m2Ti+kdlXl9sSe+f10tzcZPB2vcsAsF8ImQEAADhjFhuLdB/tMnlgkmxvxhgmzbVNRh8cpawJlwFgPxEyAwAAcNrVec3kk5N0d3apk23pckmG7x+mua5J72y9ywCwHwmZAQAAOG1qrZl+eZr2ljaLx1Z6l9+0luZIk7VXe2kKAPuZz+QAAACcFrPvztIebzN7ZKV3+fyt3uW36l0GgINAyAwAAMAptXh6kfaONpuf2lyal3HJ+NpxRleMUvrCZQA4KITMAAAAnBJ1VjO5d5L27jbZni+XZHT5KOPrxumt610GgINGyAwAAMBLUmvN9IvTtLe2Wfx4pXf5zWtZP7Ke/gX9XTodAHC6CZkBAADYsdmjs7TH2sy+udK7/Mpe1o+sZ3DJYJdOBgCcKUJmAAAAXrTFU4u0t7fZ/MxK73JTMr5unNFlepcB4LAQMgMAAPCC1WlN94ku3ce6ZLptoZeMrhhlfO04vUbvMgAcJkJmAAAAnletNdPPT7Nx60bqk3VpbfCWQZojTfqv0LsMAIeRkBkAAICfaPbtWTaObWT+nfnSvHdBL+tH1zO4WO8yABxmQmYAAABOavHEIu1tbTY/t9K7vF7SXN9k+P5hSk/vMgAcdkJmAAAAltTNmu6eLt3Hu2S2baGfjD44SnNNkzIWLgMAJwiZAQAASHKid3nzoc20t7epT630Lr99kObmJv2X610GAJYJmQEAAMjsm1u9y48u9y73L+ynOdpk8Aa9ywDAyQmZAQAADrH54/O0t7aZfnG6NC9nlzQ3Nhm+Z5hSVGMAAM9NyAwAAHAI1UlNe3ebyb2TZPvDy2vJ+EPjjD88ThkKlwGA5ydkBgAAOETqombz05tp72hTn1npXX7nIOs3rad3bm+XTgcA7EdCZgAAgENi+vVp2mNt5t9f6V2+qJ/1o+tZ+ykvEQGAF8/fIAAAAA64+Y/maW9pM/3ySu/yOSXrN65n8K6B3mUAYMeEzAAAAAfUoluku6vL5L5Jsti2MEjGV48zvmqcMhAuAwAvjZAZAADggKmLmsmDk3R3dKntcu/y8D3DNDc06Z2jdxkAODWEzAAAAAfI9KvTbBzbyOKHi6X52uvW0hxtsvZaLwMBgFPL3y4AAAAOgPkP5tm4ZSOzh2dL8955vTQ3NRlcqncZADg9hMwAAAD72GJjke7OLpP7J8n2Zoxh0lzTZHTlKGVNuAwAnD5CZgAAgH2ozmsm90/S3dmldiu9y+8fprm+Se9svcsAwOknZAYAANhHaq2ZfmWa9nibxWMrvctvXEtzpMnahV7qAQBnjr95AAAA7BOz783SHm8z+/pK7/L5vTQ3Nxm8Ve8yAHDmCZkBAAD2uMUzi7R3tNn81OZS73IZlYw/Ms7oilFKX7gMAOwOITMAAMAeVWc1k/smae9qk81tCyUZXT7K+CPj9M7SuwwA7C4hMwAAwB5Ta83096Zpb22zeHyld/nitawfWU//Vf1dOh0AwDIhMwAAwB4ye3SW9lib2TdXepdf0cv6kfWsXbKmdxkA2FOEzAAAAHvA4qlF2tvbbH5mc2lempLxdeOMLtO7DADsTUJmAACAXVSnNd0nunQf65LptoVeMrpilPG14/QavcsAwN4lZAYAANgFtdZMPz9Ne1ubxRPLvcuDtwzS3Nyk/0q9ywDA3idkBgAAOMNm35ll49hG5t+eL817F/SyfnQ9g4sHu3QyAIAXT8gMAABwhiyeWKS9rc3m51Z6l9dLmuubDN8/TOnpXQYA9hchMwAAwGlWN2u6e7p0H++S2baFfjL64CjNNU3KWLgMAOxPQmYAAIDTpNaazYc2097epj5Vl9YGbx+kualJ/3y9ywDA/iZkBgAAOA1m35pl43c3Mn90uXe5f2E/zdEmgzfoXQYADgYhMwAAwCk0//E87a1tpl+YLs3L2SXNDU2G79G7DAAcLEJmAACAU6BOarq7u3T3dsn2h5f7yfiqccZXj1NGwmUA4OARMgMAALwEdVGz+Zmt3uVnVnqX37HVu3ye3mUA4OASMgMAAOzQ9JFp2mNt5t9b6V1+bT/rR9ez9jovuQCAg8/feAAAAF6k+WPztLe0mX5ppXf5ZSXNjU2G7x6mFNUYAMD/z96dxlh23ueBf869de89p7iKWilqF7VYC7VS4r41u50EQcZIHNgZzMRwMMkkMYzAcTAzQIyMgXE+DGwkg4mNeGAHESaZgTNJMEjsSZxusrlTIiVRmyVLIiVR1i5xX+45d33nQxeTutckRbKX2n4/oHG7/+85Ve/9UnXO06eeOhiEzAAAAC/Qslumu6PL5N5Jsty2sJHUV9SpL69TDYXLAMDBImQGAAD4McqyZHrfNO1tbcp4tXd5+N5hmhua9M7t7dDuAAB2lpAZAADgecy+Nsv42DjLHy1X5v3XbfUuX+S2CgA42FwNAQAAPIvFQ4uMj40zf2C+Mu+d10tzqMngXQO9ywAAETIDAACsWI6X6W7vMvnUJNnejDFM6ivr1B+tUw2EywAAzxAyAwAAJCmLksmnJulu71K6td7l9w/TXN+kd7beZQCAdUJmAADgQCulZHb/LO1NbZYPr/Yub7xxI83hJhsXunUCAHgurpQAAIADa/HDrd7lr6/1Lr+sl+bGJoN36F0GAPhxhMwAAMCBs3x6mfbWNtPPTFd7l0dJc3WT0aWjVBvCZQCAF0LIDAAAHBhlXjK5d5L2zjaZbFuoktEHR6mvrdM7S+8yAMCLIWQGAAD2vVJKZl+epb25zfLRtd7lt2xk8/Bm+q/q79DuAAD2NiEzAACwr82/N097rM38m2u9yy/vZfPwZjYu3tC7DABwEoTMAADAvrR8cqt3+bPTlXlVV6mvrTP60ChVX7gMAHCyhMwAAMC+UmYl3T1duju7ZLZtoZeMPjxKfU2dXqN3GQDgVBEyAwAA+0IpJbMvztIeb7N8fK13+eKt3uVX6F0GADjVhMwAAMCeN//OPOOj4yy+vViZ9155ond58NbBDu0MAGD/EzIDAAB71vKJZdrjbaZfWOtd3qzSXNdk+IFhqp7eZQCA00nIDAAA7DllWtJ9vEt3d5fMty30ktFHR6mvqtOr9S4DAJwJQmYAAGDPKKVk+oVp2uNtypNlZW3wjkGaG5v0L9C7DABwJgmZAQCAPWH+ra3e5e+u9i73X91Pc6TJ4E16lwEAdoKQGQAA2NUWjy3S3txm9qXZyrw6q0pzfZPh+/QuAwDsJCEzAACwK5VJSXdXl+4TXbL94eV+Ul9Wp76yTjUSLgMA7DQhMwAAsKuUZcn0c9O0t7QpT6/1Lr9rkOZQk/75epcBAHYLITMAALBrzB6cpT3aZvGDtd7lC/vZPLKZjTe4hQEA2G1coQEAADtu8cgi7U1tZl9Z610+p0pzQ5Phe4epKtUYAAC7kZAZAADYMaUrae9sM7lnkiy3LWwk9RV16svrVEPhMgDAbiZkBgAAzriyLJl+Zpr21jZlvNq7PHzvMM0NTXrn9nZodwAAvBhCZgAA4IyafW2W8bFxlj9arsz7r9vqXb7IbQoAwF7i6g0AADgjFg9t9S7fv9q73Duvl+ZQk8G7BnqXAQD2ICEzAABwWi3bZbrbu0w+tda7PEjqq+rUH61TDYTLAAB7lZAZAAA4LcqiZPLpSbrbupRurXf5/cM01zXpnaN3GQBgrxMyAwAAp1QpJfMH5id6lx9e7V3eeONGmsNNNi50KwIAsF+4sgMAAE6ZxQ8XGR8bZ/71+cq897Kt3uV36l0GANhvhMwAAMBJWz69THdbl8l9k2R7M8Yoaa5qMvrIKNWGcBkAYD8SMgMAAC9ZmZdMPjlJd0eXMtmWLlfJ8ANbvctn6V0GANjPhMwAAMCLVkrJ7CuztDe1WT661rv85o1sHt5M/9X9HdodAABnkpAZAAB4Uebfn6c92mb+zbXe5Qt6aQ43GbxN7zIAwEEiZAYAAF6Q5VPLtLe0mX52ujKv6ir1NXVGHx6l6guXAQAOGiEzAADwvMq8pPtEl+6uLtmeL1fJ6MOj1NfU6W3qXQYAOKiEzAAAwLMqpWT2pVnam9ssH1/rXb54I5s3bqb/Sr3LAAAHnZAZAAD4U+bfnWd8dJzFtxYr894retk8spnBWwc7tDMAAHYbITMAAPCfLZ9Ypj3eZvqFtd7lpkpzXZPhB4epenqXAQD4L4TMAABAyqyku7tL9/EumW1b6CWjj4xSX12nV+tdBgDgTxMyAwDAAVZKyfQL07S3tClPlJW1wTsGaQ416b9c7zIAAM9NyAwAAAfU/NvzjP/TOIvvrvYu91/dT3OkyeBNepcBAPjxhMwAAHDALB5bpD3eZvbF2cq8OqtKc32T4fv0LgMA8MIJmQEA4IAo05Luri7dJ7pkvm2hn9SX1amvrFONhMsAALw4QmYAANjnSimZfm6rd/mptd7ln9jqXX6Z3mUAAF4aITMAAOxjs2/O0h5ts/j+Wu/yhf1sHtnMxhvcEgAAcHJcUQIAwD60eHSR9qY2sy+v9S6fs9W7fMkwVaUaAwCAkydkBgCAfaR0Je2dbSb3TpLtDy9vJPXldeor6lRD4TIAAKeOkBkAAPaBsiyZfmaa9tY2Zbzauzx8zzDNDU165/V2aHcAAOxnQmYAANjjZl+fpT3WZvHDtd7li/rZ/MnNbFzksh8AgNPH1SYAAOxRi4cXaY+1md2/1rt8bpXNQ5sZvHugdxkAgNNOyAwAAHvMsl2mu6PL5JOTZLltYZDUV9apL6tTDYTLAACcGUJmAADYI8qiZHLfJN1tXUq71rv8vmGa65v0ztG7DADAmSVkBgCAPWD2wCzjo+MsH16uzDfesJHmSJONC13aAwCwM1yJAgDALrb44SLjm8aZf22+Mu+d30tzY5PBO/UuAwCws4TMAACwCy3Hy3S3dZl8epJsb8YYJs3VTUYfGaXaEC4DALDzhMwAALCLlEXJ5JOTdLd3KZNt6XKVDD8wTHNtk97ZepcBANg9hMwAALALlFIy+8os7c1tlo+s9S6/eSPN4SYbr3b5DgDA7uMqFQAAdtj8+/O0x9rMH1zrXb6gl+Zwk8Hb9C4DALB7CZkBAGCHLJ9apr21zfQz05V5VVepr6kz+vAoVV+4DADA7iZkBgCAM6zMSyb3TNLe2Sbb8+UqGX14lPqaOr1NvcsAAOwNQmYAADhDSimZ/fFW7/Jja73LF29k88bN9F/Z36HdAQDASyNkBgCAM2D+3Xnao23m31rrXX5FL5uHNzO4eLBDOwMAgJMjZAYAgNNo+cQy7S1tpp9f611uqtTX1hl9aJSqp3cZAIC9S8gMAACnQZmVdB/v0t3dJbNtC71k9JFR6qvq9Bq9ywAA7H1CZgAAOIVKKZn+0TTt8TblibKyNnj7IM2NTfov17sMAMD+IWQGAIBTZP7tecZHx1l8Z7Ey77+qn+ZIk8Gb9S4DALD/CJkBAOAkLR5bpD3eZvbF2cq8OqtKc32T4fuGepcBANi3hMwAAPASlWlJd1eX7hNdMt+20E9GHx2luapJNRIuAwCwvwmZAQDgRSqlZPq5adpb2pSn1nqXf2KQ5lCT/sv0LgMAcDAImQEA4EWYfXOW9mibxffXepcv3OpdfoPeZQAADhYhMwAAvACLRxdpb2oz+/Ja7/LZVZobmgwvGaaqVGMAAHDwCJkBAOB5lElJe0ebyb2TZPvDyxtJfXmd+oo61VC4DADAwSVkBgCAZ1GWJdPPbvUuj9d6l989yOahzfTO6+3Q7gAAYPcQMgMAwJrZN7Z6l3+41rt8UT+bRzaz8TqX0QAA8AxXxwAAsGXx8CLtsTaz+9d6l8+tsnnDZgbvGehdBgCANUJmAAAOvGW7THdHl8knJ8ly28Igqa+sU19WpxoIlwEA4NkImQEAOLDKomRy3yTdbV1Ku9q7PHzfMM31TXrn6F0GAIDnI2QGAOBAmj0wy/joOMuHlyvzjTdspDnSZONCl8oAAPBCuHIGAOBAWfxokfGxceZfm6/Me+f30hxqMvgJvcsAAPBiCJkBADgQluNlutu6TD49SbY3YwyT5qomo4+OUm0IlwEA4MUSMgMAsK+VRcnkk5N0t3cpk7Xe5Q8M01zXpHe23mUAAHiphMwAAOxLpZTMvjpLe1Ob5SNrvctv2khzuMnGa1wOAwDAyXJVDQDAvjP/wTzt0TbzB9d6ly/opbmxyeDtepcBAOBUETIDALBvLJ9apr21zfSz05Xe5WpUpb6mzujSUaq+cBkAAE4lITMAAHtemZdM7pmkvbNNptsWqmT0oVHqa+v0NvUuAwDA6SBkBgBgzyqlZPbHs7Q3t1k+tta7/NaNbB7eTP+V/R3aHQAAHAxCZgAA9qT597Z6l/9krXf5Fb1sHt7M4OLBDu0MAAAOFiEzAAB7yvLJZdrjbaafn67Mq6ZKfW2d0Qf1LgMAwJkkZAYAYE8os5Lu4126u7tktm2hl4wuHaW+uk6v0bsMAABnmpAZAIBdrZSS2R/NMj4+TnmirKwN3j5Ic2OT/sv1LgMAwE4RMgMAsGvNvz3P+Og4i+8sVub9V/XTHGkyeLPeZQAA2GlCZgAAdp3l41u9y3+01ru8WaW5vsnw/cNUPb3LAACwGwiZAQDYNcq0pLurS/eJLplvW+gno4+M0lzVpKqFywAAsJsImQEA2HGllEw/P017vE15aq13+Z1bvcsv07sMAAC70Sn59dtVVf10VVX/pKqqO6qqeqKqqlJV1b98jmPfVlXV/1hV1fGqqr5VVdW0qqofVFX176qquv7HfJ6fq6rq3qqqnqqq6vGqqm6tqurPP8/x/aqqfqmqqs9XVdVWVfVIVVX/oaqqK072PQMAcGrM/mSWJ//Zkxn/+/FKwNx/TT9n/9Wzc/ZfPlvADAAAu9ipepL5V5K8L8lTSb6d5J3Pc+z/kuRnknwpyX9I8kiSdyT5C0n+QlVVf6eU8r+vn1RV1W8k+eWtj/87SYZJfjbJ71dV9YullN9cO75K8ntJfjrJV5L8ZpILtj737VVV/aVSyr97ye8YAICTsnh0kfbmNrM/nq3Mq7OrNDc0GV4yzIlLOgAAYDc7VSHzL+VE+PtAkmuT3PI8x/5hkv+1lPKZ7cOqqq5NcizJr1dV9a9LKd/btnZFTgTMX0tyaSnl0a35ryf5dJLfqKrqD0opD277kD+bEwHz3UkOlVK6rXN+O8mdSX6nqqrjpZQnX/rbBgDgxSqTkvbONpN7Jsli28JGUl9Wp76yTjUULgMAwF5xSuoySim3lFLuL6WUF3Dsx9YD5q35bUluzYknlNfrLP7m1us/fCZg3jrnwSS/lWSU5OfXzvlbW6+/8kzAvHXOJ5P8qySvzIkQGgCAM6AsSyb3TfL4bz2eyd2rAfPg3YOc97fPS3N9I2AGAIA95pSEzKfQMz8rOV+b37D1+ofPcs5/XDsmVVXVORFUj5Pc8ULOAQDg9Jl9Y5Ynf+fJjP+/ccrT23qXL+rnnJ8/J2f/xbPTO2+3XZoCAAAvxKmqyzhpVVW9McmhnAiGb982PyvJRUme2l6hsc39W69v3zZ7a5J+kq+XUtYD6+c65/n29unnWHq+7mkAgANv8fAi7U1tZl9d610+t8rmDZsZvGegdxkAAPa4XREyV1U1SvJ/5UTtxf+wvRIjyXlbr48/x+nPzM8/yXMAheB6gwAAIABJREFUADhFlu0y3R1dJp+cJMttC4OkvqJOfXmdaiBcBgCA/WDHQ+aqqvpJ/kWSK3OiK/k3dnZHf1op5UPPNt96wvmDZ3g7AAC7VlmWTD49SXdbl9Ku/rqO4SXDNNc36Z2rFgMAAPaTHQ2ZtwLmf5nkLyf5f5L8N8/yywOfeer4vDy7Z+aPneQ5AACchNkDs4yPjbN8aLky33j9RpojTTZeu+PPNwAAAKfBjl3pV1U1yImKjL+c5P9O8ldLKYv140opT1dV9Z0kF1VVdeGz9DK/bev1q9tmX8uJ31f+lqqqNp6ll/nZzgEA4CVY/GiR8U3jzB9YveTqnd9Lc6jJ4Cf0LgMAwH62Iz+rWFXVMMm/zomA+f9M8t8+W8C8zfGt1z/zLGt/du2YlFK6JHcn2Uxy9Qs5BwCAF2c5Xmb8h+M88X88sRowD5Pmhibn/q1zM3zXUMAMAAD73BkPmbd+yd//m+S/SvLPkvx8KWX5/Gflt7de/35VVS/b9rHelOQXkkyS/PO1c/7p1uuvVVVVbzvn0iQ/k+RHSf7tS3sXAAAHV1mUdPd0eeK3njjxi/22lZ0NPzDMeb9wXuor61QbwmUAADgITkldRlVVP5Xkp7b++Zqt18urqvrY1t8fKqX8va2//3aSP5fkoSTfSfIPnuXplltLKbc+849Syt1VVf2jJH83yeerqvo3SYY5ERZfkOQXSykPrn2M30vyF5P8dJLPVFX1+0levnVOP8lfL6U88VLfMwDAQVNKyez+WdpjbZaPrPUuv3Grd/k1epcBAOCgOVV3Ae9P8nNrs7ds/UmSbyZ5JmR+89brK5L8g+f5mLdu/0cp5ZerqvpCTjy5/DeSLJPcl+TXSyl/sH5yKaVUVfVXcqI2468l+cUkXZLbk/xaKeXuF/TOAADI/AfztMfazL+x1rv8sl6aw00Gb9e7DAAAB9UpCZlLKb+a5Fdf4LHXncTn+ViSj72I4+dJ/vHWHwAAXqTl08u0t7aZfma6UotRjarUV9cZXTpSiwEAAAecn2cEAOBPKfOSyb2TtHe2J377xTOqZPShUepr6vTO2pHfIQ0AAOwyQmYAAP6zUkpmX56lvbnN8tG13uW3bGTz8Gb6r+rv0O4AAIDdSMgMAECSZP69edqjbeZ/sta7/PJeNg9vZuPiDb3LAADAnyJkBgA44JZPLtPe0mb6uenKvGqq1NfWGX1wlKovXAYAAJ6dkBkA4IAqs5LuE126u7pktm2hl4wuHaW+uk6v0bsMAAA8PyEzAMABU0rJ7IuzjG8epzxRVtYGbxukubFJ/xV6lwEAgBdGyAwAcIDMvzPP+Og4i28vVua9V/ayeWQzg7cMdmhnAADAXiVkBgA4AJaPL9MebzP9o7Xe5c0qzXVNhh8YpurpXQYAAF48ITMAwD5WpiXd3V26j3fJfNtCPxl9ZJTmqiZVLVwGAABeOiEzAMA+VErJ9PPTtLe0KU+u9S6/c5DmUJP+BXqXAQCAkydkBgDYZ+bfmmf8n8ZZfG+1d7n/mn6aI00Gb9S7DAAAnDpCZgCAfWLx2CLtzW1mX5qtzKuzqzTXNxleoncZAAA49YTMAAB7XJmUdHd26e7pku0PL28k9WV16ivqVCPhMgAAcHoImQEA9qiyLJl+bqt3+em13uV3D9Lc0KR/vt5lAADg9BIyAwDsQbMHZ2mPtln8YK13+bX9bB7ZzMbrXeYBAABnhrsPAIA9ZPHwIu1NbWZfXetdPqdKc6jJ8D3DVJVqDAAA4MwRMgMA7AHLbpnuji6TeyfJctvCIKmvqFNfXqcaCJcBAIAzT8gMALCLlWXJ5L5Jutu6lPFq7/LwkmGa65v0zu3t0O4AAACEzAAAu9bsa7OMj46zfGi5Mu+/fqt3+bUu5QAAgJ3nzgQAYJdZ/GiR8U3jzB+Yr8x75/XSHGoyeNdA7zIAALBrCJkBAHaJ5XiZ7vYuk09Nku3NGMOkvrJOfVmdakO4DAAA7C5CZgCAHVYWJZNPTdLd3qV0a73L79/qXT5b7zIAALA7CZkBAHZIKSWz+2dpj7VZPrLau7zxxo00R5psvMblGgAAsLu5awEA2AGLHywyPjbO/Btrvcsv66W5scngHXqXAQCAvUHIDABwBi2fXqa9rc30vulK73I1qlJfXWd06UjvMgAAsKcImQEAzoAyL5ncO0l7Z5tMti1UyeiDo9TX1umdpXcZAADYe4TMAACnUSkls6/M0t7UZvnoWu/yWzayeXgz/Vf1d2h3AAAAJ0/IDABwmsy/N097rM38m2u9yy/vZfPwZjYu3tC7DAAA7HlCZgCAU2z55DLtrW2mn52uzKu6Sn1tndGHRqn6wmUAAGB/EDIDAJwiZVbS3dOlu7NLZtsWesnow6PU19TpNXqXAQCA/UXIDABwkkopmX1plvbmNsvHV3uXB28bpLmxSf8VepcBAID9ScgMAHAS5t+ZZ3x0nMW3Fyvz3it72TyymcFbBju0MwAAgDNDyAwA8BIsn1imPd5m+oW13uXNKs11TYYfGKbq6V0GAAD2PyEzAMCLUKYl3ce7dHd3yXzbQi8ZfXSU5qomVS1cBgAADg4hMwDAC1BKyfQL07TH25Qny8ra4J2DNIea9C/QuwwAABw8QmYAgB9j/q2t3uXvrvYu91/TT3O4yeBNepcBAICDS8gMAPAcFo8t0t7cZval2cq8OrtKc32T4SV6lwEAAITMAABryqSku6tL94ku2f7wcj+pL6tTX1mnGgmXAQAAEiEzAMB/VpYl089N097Spjy91rv8rq3e5fP1LgMAAGwnZAYASDJ7cJb2aJvFD9Z6l1/bz+aRzWy83mUTAADAs3G3BAAcaItHFmlvajP7ylrv8jlVmhuaDN87TFWpxgAAAHguQmYA4EAqXUl7Z5vJPZNkuW1hI6mvqFNfXqcaCpcBAAB+HCEzAHCglGXJ9DPTtLe2KePV3uXhe4dpbmjSO7e3Q7sDAADYe4TMAMCBMfv6LOOj4yx/tFyZ91+31bt8kUsjAACAF8udFACw7y0e2updvn+1d7l3Xi/NoSaDdw30LgMAALxEQmYAYN9atst0t3eZfGqtd3mY1FfWqT9apxoIlwEAAE6GkBkA2HfKomTy6Um627uUdq13+f3DNNc16Z2jdxkAAOBUEDIDAPtGKSXzB+YZHxtn+fBq7/LGGzfSHG6ycaHLHwAAgFPJXRYAsC8sfrjI+Ng486/PV+a9l/XS3Nhk8A69ywAAAKeDkBkA2NOWTy/T3tZmet802d6MMUqaq5uMLh2l2hAuAwAAnC5CZgBgTyrzksknJ2nvaJPJtoUqGX5wmObaJr2z9C4DAACcbkJmAGBPKaVk9pVZ2pvaLB9d611+y0Y2D2+m/6r+Du0OAADg4BEyAwB7xvz787RH28y/uda7fEEvm0c2s3Hxht5lAACAM0zIDADsesunlmlvaTP97HRlXtVV6mvqjD48StUXLgMAAOwEITMAsGuVeUn3iS7dXV2yPV+uktGlo9TX1Ok1epcBAAB2kpAZANh1SimZfWmW9uY2y8fXepcv3sjmjZvpv1LvMgAAwG4gZAYAdpX5d+cZHx1n8a3Fyrz3ihO9y4O3DnZoZwAAADwbITMAsCssn1imPd5m+oW13uXNKs21TYYfHKbq6V0GAADYbYTMAMCOKrOS7uNduru7ZLZtoZeMPjJKfXWdXq13GQAAYLcSMgMAO6KUkukXpmlvaVOeKCtrg3cM0tzYpH+B3mUAAIDdTsgMAJxx82/PM/5P4yy+u9q73H91P82RJoM36V0GAADYK4TMAMAZs3hskfZ4m9kXZyvz6qwqzfVNhu/TuwwAALDXCJkBgNOuTEq6u7p093TJfNtCP6k/Wqe+qk41Ei4DAADsRUJmAOC0KaVk+rmt3uWn1nqX3zVIc6hJ/3y9ywAAAHuZkBkAOC1m35ylPdpm8f213uUL+9k8spmNN7gMAQAA2A/c3QEAp9TikUXam9vMvrzWu3zOVu/yJcNUlWoMAACA/ULIDACcEqUrae9sM7l3kmx/eHkjqS+vU19RpxoKlwEAAPYbITMAcFLKsmT6mWnaW9uU8Wrv8vA9wzQ3NOmd19uh3QEAAHC6CZkBgJds9vVZxkfHWf5ouTLvX9TP5k9uZuMilxoAAAD7nTs/AOBFWzy0SHtTm9n9a73L51bZPLSZwbsHepcBAAAOCCEzAPCCLdtlutu7TD41SbY/vDxI6ivr1JfVqQbCZQAAgINEyAwA/FhlUTL59CTd7V1Ku9a7/L5hmuub9M7RuwwAAHAQCZkBgOdUSsn8gXnGx8ZZPrzau7zxho00R5psXOhyAgAA4CBzVwgAPKvFDxcZHxtn/vX5yrx3fi/NjU0G79S7DAAAgJAZAFizfHqZ7rYuk/smyfZmjGHSXN1k9JFRqg3hMgAAACcImQGAJFu9y/dO0t3RpUy2pctVMvzAMM21TXpn610GAABglZAZAA64UkpmX5mlvbnN8pG13uU3b2Tz8Gb6r+7v0O4AAADY7YTMAHCAzb8/T3uszfzBtd7lC3ppDjcZvE3vMgAAAM9PyAwAB9DyqWXaW9tMPzNdmVd1lfqaOqMPj1L1hcsAAAD8eEJmADhAyrxkcs8k7Z1tsj1frpLRh0epr6nT29S7DAAAwAsnZAaAA6CUktkfb/UuP7bWu3zxRjZv3Ez/lXqXAQAAePGEzACwz82/O097tM38W2u9y6/oZfPwZgYXD3ZoZwAAAOwHQmYA2KeWTyzT3tJm+vm13uWmSn1tndGHRql6epcBAAA4OUJmANhnyqyk+3iX7u4umW1b6CWjS0epr67Ta/QuAwAAcGoImQFgnyilZPpH07TH25Qnysra4O2DNDc26b9c7zIAAACnlpAZAPaB+bfnGR8dZ/Gdxcq8/6p+miNNBm/WuwwAAMDpIWQGgD1s8dgi7fE2sy/OVubVWVWa65oM3z/UuwwAAMBpJWQGgD2oTEu6u7p0n+iS+baFfjL66CjNVU2qkXAZAACA00/IDAB7SCkl089N097Spjy11rv8E4M0h5r0X6Z3GQAAgDNHyAwAe8Tsm7O0R9ssvr/Wu3zhVu/yG/QuAwAAcOYJmQFgl1s8ukh7U5vZl9d6l8+p0lzfZHjJMFWlGgMAAICdIWQGgF2qTEraO9pM7p0k2x9e3kjqy+vUV9SphsJlAAAAdpaQGQB2mbIsmX52q3d5vNq7PHzPMM0NTXrn9XZodwAAALBKyAwAu8jsG1u9yz9c612+qJ/Nn9zMxkW+dQMAALC7uFMFgF1g8fAi7bE2s/vXepfPrbJ5aDODdw/0LgMAALArCZkBYAct22W6O7pMPjlJltsWBkl9ZZ36sjrVQLgMAADA7iVkBoAdUBYlk/sm6W7rUtq13uX3DdNc36R3jt5lAAAAdj8hMwCcYbMHZhkfG2f50HJlvvGGjTRHmmxc6NszAAAAe4e7WAA4QxY/WmR8bJz51+Yr8975vTQ3Nhm8U+8yAAAAe4+QGQBOs+V4me62LpNPT5LtzRjDpLm6yegjo1QbwmUAAAD2JiEzAJwmZVEy+eQk3e1dymRbulwlww8M01zbpHe23mUAAAD2NiEzAJxipZTMvjpLe1Ob5SNrvctv2khzuMnGa3wLBgAAYH9whwsAp9D8B/O0R9vMH1zrXb5gq3f57XqXAQAA2F+EzABwCiyfWqa9tc30s9OV3uVqVKW+ps7o0lGqvnAZAACA/UfIDAAnocxLJvdM0t7ZJtNtC1Uy+tAo9bV1ept6lwEAANi/hMwA8BKUUjL741nam9ssH1vrXX7rRjYPb6b/yv4O7Q4AAADOHCEzALxI8+9t9S7/yVrv8it62Ty8mcHFgx3aGQAAAJx5QmYAeIGWTy7THm8z/fx0ZV41Vepr64w+qHcZAACAg0fIDAA/RpmVdB/v0t3dJbNtC71kdOko9dV1eo3eZQAAAA4mITMAPIdSSmZ/NMv4+DjlibKyNnjbIM3hJv2X610GAADgYBMyA8CzmH97nvHRcRbfWazM+6/qpznSZPBmvcsAAACQCJkBYMXy8WXGN48z++JsZV5tVmmuazL8wDBVT+8yAAAAPEPIDABJyrSku7tL9/EumW9b6Cejj4zSXNWkqoXLAAAAsE7IDMCBVkrJ9PPTtMfblKfWepffOUhzY5P+y/QuAwAAwHMRMgNwYM3+ZJb2aJvF99Z6l1+z1bv8Rr3LAAAA8OMImQE4cBaPLtLe3Gb2x2u9y2dXaW5oMrxkmKpSjQEAAAAvhJAZgAOjTEraO9tM7pkk2x9e3kjqy+rUV9aphsJlAAAAeDGEzADse2VZMv3sNO2tbcrTa73L7x5k89Bmeuf1dmh3AAAAsLcJmQHY12bf2Opd/uFa7/JF/Wwe2czG63wrBAAAgJPhzhqAfWnx8CLtTW1mX13rXT53q3f5PXqXAQAA4FQQMgOwryy7Zbo7ukzunSTLbQuDpL6iTn15nWogXAYAAIBTRcgMwL5QliWT+ybpbu1S2tXe5eElwzTXN+mdq3cZAAAATjUhMwB73uxrs4yPjrN8aLky33j9RpojTTZe69sdAAAAnC7uugHYsxY/WmR80zjzB+Yr8975vTSHmgx+YqB3GQAAAE4zITMAe85yvEx3e5fJpybJ9maMYdJc1WT00VGqDeEyAAAAnAlCZgD2jLIomXxqku72LqVb613+wDDNdU16Z+tdBgAAgDNJyAzArldKyez+WdpjbZaPrPUuv2kjzeEmG6/xLQ0AAAB2gjtyAHa1+Q/maY+1mX9jrXf5gl6aG5sM3q53GQAAAHaSkBmAXWn59DLtrW2mn5mu9C5Xoyr1NXVGl45S9YXLAAAAsNOEzADsKmVeMrl3kvaONpluW6iS0YdGqa+t09vUuwwAAAC7hZAZgF2hlJLZl2dpb2qzfGytd/mtG9m8cTP9V/V3aHcAAADAcxEyA7Dj5t+bpz3aZv4na73LL+9l88hmBhcPdmhnAAAAwI8jZAZgxyyfXKa9pc30c9OVedVs9S5/SO8yAAAA7HZCZgDOuDIr6T7RpburS2bbFnrJ6NJR6qvr9Bq9ywAAALAXCJkBOGNKKZl9cZb2eJvl46u9y4O3DdLc2KT/Cr3LAAAAsJcImQE4I+bfmWd8dJzFtxcr894rt3qX36J3GQAAAPYiITMAp9Xy8WXa422mf7TWu7xZpbmuyfADw1Q9vcsAAACwVwmZATgtyrSku7tL9/EumW9b6Cejj4zSXNWkqoXLAAAAsNcJmQE4pUopmX5+mvaWNuXJsrI2eOcgzaEm/Qv0LgMAAMB+IWQG4JSZ/8lW7/L3VnuX+6/ppznSZPBGvcsAAACw3wiZAThpi0cXaW9uM/vj2cq8OrtKc32T4SV6lwEAAGC/EjID8JKVSUl3Z5funi7Z/vDyRlJfVqe+ok41Ei4DAADAfiZkBuBFK8uS6ee2epefXutdfvcgzQ1N+ufrXQYAAICDQMgMwIsy+8Ys7bE2ix+s9S6/tp/NI5vZeL1vLQAAAHCQSAIAeEEWDy/S3tRm9tW13uVzqjSHmgzfM0xVqcYAAACAg0bIDMDzWnbLdHd0mdw7SZbbFgZJfXmd+vI61VC4DAAAAAdV71R8kKqqfrqqqn9SVdUdVVU9UVVVqarqXz7HsYOqqv5OVVX/vKqqz1ZVNd06/r97AZ/n56qqureqqqeqqnq8qqpbq6r6889zfL+qql+qqurzVVW1VVU9UlXVf6iq6oqTeb8AB0FZlnSf6vLEbz6RySdWA+bhJcOc97fPS3NtI2AGAACAA+5UPcn8K0nel+SpJN9O8s7nOfasJP/b1t9/kOT7SV7/4z5BVVW/keSXtz7+7yQZJvnZJL9fVdUvllJ+c+34KsnvJfnpJF9J8ptJLkjyM0lur6rqL5VS/t0LfYMAB8nsa7OMj46zfGi5Mu+/rp/Nn9zMxmv9IAwAAABwwqlKCX4pJ8LfB5Jcm+SW5zl2nOTPJflsKeV7VVX9apL/+fk++NaTx7+c5GtJLi2lPLo1//Ukn07yG1VV/UEp5cFtp/1sTgTMdyc5VErpts757SR3JvmdqqqOl1KefJHvFWDfWjy0yPjYOPMH5ivz3nm9NIeaDN410LsMAAAArDgldRmllFtKKfeXUsoLOHZaSvmPpZTvvYhP8Te3Xv/hMwHz1sd6MMlvJRkl+fm1c/7W1uuvPBMwb53zyST/KskrcyKEBjjwluNlxn84zhO//cRqwDxM6uvrnPu3z83w3X6xHwAAAPCnnZKQ+Qy4Yev1D59l7T+uHZOqquokV+TEU9N3vJBzAA6isijp7u3yxG89kcknJ8m2/yocvn+Y837hvDRXNak2hMsAAADAs9v1pZpVVZ2V5KIkTz3H08/3b72+fdvsrUn6Sb5eSpn/6VOe9Zzn28Onn2Pp+bqnAXatUkpm98/S3tRm+fBq7/LGGzfSHGmy8Zpd/y0CAAAA2AX2QoJw3tbr48+x/sz8/JM8B+BAWPxwq3f562u9yy/rpbmxyeAdepcBAACAF24vhMw7rpTyoWebbz3h/MEzvB2Al2T59DLtrW2mn5mu1GJklDRXNxldOlKLAQAAALxoeyFkfuap4/OeY/2Z+WMneQ7AvlTmJZN7J2nvbJPJtoUqGX1wlPraOr2z9kpFPwAAALDb7PqQuZTydFVV30lyUVVVFz5LL/Pbtl6/um32tSSLJG+pqmrjWXqZn+0cgH2llJLZl2dpb26zfHStd/ktG9k8vJn+q/o7tDsAAABgv9grj64d33r9M8+y9mfXjkkppUtyd5LNJFe/kHMA9pP59+Z56l88laf/zdMrAXPv5b2c/bNn5+z/+mwBMwAAAHBK7JWQ+be3Xv9+VVUve2ZYVdWbkvxCTvwA+D9fO+efbr3+WlVV9bZzLk3yM0l+lOTfnqb9AuyI5ZPLPP3vn86Tv/tk5t/8Lz/EUdVVmp9scu5/f24Gb/OL/QAAAIBT55TUZVRV9VNJfmrrn6/Zer28qqqPbf39oVLK39t2/P+U5J1b/3z/1uvPV1V11dbf7yyl/O4zx5dS7q6q6h8l+btJPl9V1b9JMsyJsPiCJL9YSnlwbVu/l+QvJvnpJJ+pqur3k7x865x+kr9eSnnipb9rgN2jzEq6T3Tp7uqS2baFXjL68Cj1NXV6zV75f0UAAABgLzlVnczvT/Jza7O3bP1Jkm8m+Xvb1v5MkmvXjr9i688zfnf7Yinll6uq+kJOPLn8N5Isk9yX5NdLKX+wvqFSSqmq6q/kRG3GX0vyi0m6JLcn+bVSyt0v+N0B7FKllMy+OEt7vM3y8dXe5cHbBmlubNJ/hVoMAAAA4PQ5JSFzKeVXk/zqizj+upf4eT6W5GMv4vh5kn+89QdgX5l/Z57x0XEW316szHuv7GXz8GYGbx3s0M4AAACAg+RUPckMwBmyfGKZ9nib6RemK/Nqs0pzXZPhB4apejqXAQAAgDNDyAywR5RpSffxLt3dXTLfttBLRh8dpb6qTq/WuwwAAACcWUJmgF2ulJLpF6Zpj7cpT5aVtcE7tnqXL9C7DAAAAOwMITPALjb/1lbv8ndXe5f7r+6nOdJk8Ca9ywAAAMDOEjID7EKLxxZpb24z+9JsZV6dVaW5ocnwEr3LAAAAwO4gZAbYRcqkpLurS/eJLtn+8HI/qS+rU19ZpxoJlwEAAIDdQ8gMsAuUZcn0c9O0t7QpT6/1Lr9rkOZQk/75epcBAACA3UfIDLDDZg/O0h5ts/jBWu/ya/vZPLKZjdf7Ug0AAADsXpILgB2yeGSR9qY2s6+s9S6fs9W7/N5hqko1BgAAALC7CZkBzrBlt0x3R5fJvZNkuW1hI6mvqFNfXqcaCpcBAACAvUHIDHCGlGXJ9L5p2tvalPFq7/LwvcM0NzTpndvbod0BAAAAvDRCZoAzYPa1WcbHxln+aLky779uq3f5Il+OAQAAgL1JqgFwGi0e2updvn+1d7l3Xi/NoSaDdw30LgMAAAB7mpAZ4DRYjpfpbu8y+fRa7/Iwqa+sU3+0TjUQLgMAAAB7n5AZ4BQqi5LJpybpbu9SurXe5fcP01zXpHeO3mUAAABg/xAyA5wCpZTM7p+lvanN8uHV3uWNN26kOdxk40JfcgEAAID9R+IBcJIWP1xkfGyc+dfnK/Pey3ppbmwyeIfeZQAAAGD/EjIDvETLp5dpb2szvW+abG/GGCXN1U1Gl45SbQiXAQAAgP1NyAzwIpV5yeTeSdo722SybaFKhh8cprm2Se8svcsAAADAwSBkBniBSimZfWWrd/nRtd7lN29k88hm+q/q79DuAAAAAHaGkBngBZh/b572WJv5N9d6l1/ey+bhzWxcvKF3GQAAADiQhMwAz2P55DLtrW2mn52uzKu6Sn1tndGHRqn6wmUAAADg4BIyAzyLMivp7unS3dUl2/PlKhldOkp9TZ1eo3cZAAAAQMgMsE0pJbMvzdLe3Gb5+Grv8uBtgzQ3Num/Qu8yAAAAwDOEzABb5t+dZ3x0nMW3Fivz3itP9C4P3jrYoZ0BAAAA7F5CZuDAWz6xTHu8zfQLa73Lm1Waa5sMPzhM1dO7DAAAAPBshMzAgVWmJd3Hu3R3d8l820IvGX1klPrqOr1a7zIAAADA8xEyAwdOKSXTL0zTHm9Tniwra4N3bPUuX6B3GQAAAOCFEDIDB8r8W1u9y99d7V3uv7qf5kiTwZv0LgMAAAC8GEJm4EBYPLZIe3Ob2ZdmK/PqrCrN9U2G79O7DAAAAPBSCJmBfa1MSrq7unSf6JLtDy/3k/qyOvWVdaqRcBkAAADgpRIyA/tSWZZMPz9Ne0ub8tRa7/K7BmkONemfr3cZAAAA4GQJmYF9Z/bgLO3RNosfrPUuX9jP5pHNbLzBlz4AAACAU0XSAuwbi0cWaW9qM/vKWu/yOVu9y5cMU1WqMQAAAABOJSEzsOeVrqS9s83k3slq7/JGUl9ep76iTjUULgMAAAB+aIXuAAAgAElEQVScDkJmYM8qy5LpZ6Zpb21Txqu9y8P3DtNc36R3Xm+HdgcAAABwMAiZgT1p9vVZxkfHWf5ouTLvv26rd/kiX94AAAAAzgQpDLCnLB7a6l2+f7V3uXdeL80NTQbvHuhdBgAAADiDhMzAnrBsl+nu6DL55CTZ/vDyIKmvrFNfVqcaCJcBAAAAzjQhM7CrlUXJ5NOTdLd3Ke1a7/L7tnqXz9G7DAAAALBThMzArlRKyfyBecbHxlk+vNq7vPGGjTRHmmxc6EsYAAAAwE6T0AC7zuKHi4xvGmf+tfnKvHd+L82NTQbv1LsMAAAAsFsImYFdYzlepruty+TTk2R7M8Ywaa5uMvrIKNWGcBkAAID/v717D5PlLgs8/n3n1t2TG0kIJBDIhVwINxNICAm5kctZ9QHh0fCArhpUUFwuGkFdFSX6iLJrxBVQcHWXyKImwKJsFDA5OTm5Qi4QCISEXMgBExNCcnKf7pme6Xf/qBrpqcylu8+cM7fv53l+T53+Vf2qaua8U131dvVbklYTk8ySVlzOJJM3lHWXJ7uyywFjx4zROK3B0G7WXZYkSZIkSVqNTDJLWjGZSfv2Ns3NTTrbK3WXDxlh/Kxxhp85vEJ7J0mSJEmSpF6YZJa0Iqbvn6Z5aZPpbZW6y/sM0Tirwejh1l2WJEmSJElaC0wyS9qlOk90aG5tMnXT1Jz+qAf1U+rUjq0RwyaXJUmSJEmS1gqTzJJ2iZxOJq+bpHl1E7rzywG1Y2vUT6kzNG7dZUmSJEmSpLXGJLOknSozad/apnlZk84jlbrLh40wfuY4w/tZd1mSJEmSJGmtMsksaaeZ/vdpmpc0mf63St3lpw8xvmmc0eeNrtCeSZIkSZIkabmYZJa07DqPdWhe3mTq5krd5UZQP61O7aU1Ysi6y5IkSZIkSeuBSWZJyybbSeuLLVrXtqDdNWMIai+vUT+5zlDdusuSJEmSJEnriUlmSTssM5n6xhTNLU3ysZwzb/SIURpnNhje17rLkiRJkiRJ65FJZkk7ZPqeaSb+dYKZf5+Z0z/8jGEamxqMHmLdZUmSJEmSpPXMJLOkgcw8MkNzS5P2Le05/bFb0DitwdjRY9ZdliRJkiRJ2gBMMkvqS04lrWtatL7UgumuGcNQO75G46QGUTO5LEmSJEmStFGYZJbUk8xk6mtTNC9vkk9U6i4fNUrjjAbDe1t3WZIkSZIkaaMxySxpSe3vtGle0mTm/krd5QPKusvPte6yJEmSJEnSRmWSWdKCZrbP0LysSfu2St3l3YPG6Q3GXjJGhKUxJEmSJEmSNjKTzJKeIltJ8+omk9dPQvfNyyNQP6FO/cQ6MWZyWZIkSZIkSSaZJXXJTjJ10xTNrU1yYm7d5bEXjdE4vcHQXkMrtHeSJEmSJElajUwySwKg/e02zUubzDxQqbv87GHGN40zcqCHC0mSJEmSJD2VWSNpg5t5cIbm5ibtOyp1l/cMxs8YZ/SFo9ZdliRJkiRJ0oJMMksbVKfZoXVVi8kbJqHTNWMU6q+sU39FnRg1uSxJkiRJkqTFmWSWNpicSSa/MknrihbZrNRd/qExGq9qMLSHdZclSZIkSZLUG5PM0gbSvrPNxCUTdB7qzOkfee4IjU0NRg7wkCBJkiRJkqT+mFGSNoCZB2aY2DzB9F3Tc/qHnjZE48wGo8+37rIkSZIkSZIGY5JZWsc6Ex1aV7SY/PIkdFfGGIPGyQ1qL68RIyaXJUmSJEmSNDiTzNI6lDPJ5A2TtK5skZNd2eWAsWPGaJzaYGh36y5LkiRJkiRpx5lkltaRzKR9e5vm5iad7ZW6y4eM0Dirwcgz/bOXJEmSJEnS8jHbJK0T0/dP07y0yfS2St3lfcq6y0dYd1mSJEmSJEnLzySztMZ1nujQ3Npk6qapOf1RD+qn1KkdWyOGTS5LkiRJkiRp5zDJLK1ROZ1MXjdJ8+omdOeXA2rH1qifUmdo3LrLkiRJkiRJ2rlMMktrTGbSvrVN87ImnUcqdZcPG2H8zHGG9xteob2TJEmSJEnSRmOSWVpDpu+bpnlJk+nvVuouP32I8bPGGT1sdIX2TJIkSZIkSRuVSWZpDeg83qG5pcnUzZW6y42gfmqd2kutuyxJkiRJkqSVYZJZWsWynbS+2KJ1bQvaXTOGoHZcjfrJdYYa1l2WJEmSJEnSyjHJLK1CmUn7G20mtkyQj+WceaNHjNI4s8HwvtZdliRJkiRJ0sozySytMtP3TDNxyQQz987M6R9+xjCNTQ1GD7HusiRJkiRJklYPk8zSKtF5tMPEZRO0b2nP6Y/dgsZpDcaOHiOGrLssSZIkSZKk1cUks7TCcippXdOi9aUWTHfNGIba8TUaJzWImsllSZIkSZIkrU4mmaUVkplM3TxFc0uTfKJSd/moURpnNBje27rLkiRJkiRJWt1MMksroP3dNs1LmszcV6m7vH9Zd/kg6y5LkiRJkiRpbTDJLO1CMw/P0LysSfvWSt3l3YPG6Q3GXjJGhKUxJEmSJEmStHaYZJZ2gZxMmlc3mbxuErpvXh6B+ivq1F9ZJ8ZMLkuSJEmSJGntMcks7UTZSaa+OkVza5N8slJ3+YWjjJ8xztBeQyu0d5IkSZIkSdKOM8ks7STtu8u6yw9U6i4/e5jxTeOMHOifnyRJkiRJktY+s1zSMpt5aIbm5ibt2yt1l/cMxk8fZ/RFo9ZdliRJkiRJ0rphkllaJp1mh9ZVLSZvmIRO14xRqJ9Yp35CnRg1uSxJkiRJkqT1xSSztIOyk0x+eZLWFS2yObfu8thLxmi8qsHQntZdliRJkiRJ0vpkklnaAe0720xcOkHnwc6c/pHnjNDY1GDkWf6JSZIkSZIkaX0zAyYNYOb7M0xcOsH0XdNz+oeeNkTjjAajR1l3WZIkSZIkSRuDSWapD52JDq0rWkx+eRK6K2OMQeOkBrXja8SIyWVJkiRJkiRtHCaZpR7kTDJ5wyStq1pkq1J3+ZgxGqc1GNrdusuSJEmSJEnaeEwyS4vITNq3t2lubtLZXqm7fPAIjbMajOzvn5EkSZIkSZI2LrNj0gKmvzdN89Im03dX6i7vM0TjzAajR1h3WZIkSZIkSTLJLFV0nujQ3Npk6qtTc+ouRy2on1KndlyNGDa5LEmSJEmSJIFJZuk/5HQyef0kzauaMNU1I6D2shr1U+sMjVt3WZIkSZIkSepmklkbXmbSvq2su/xIpe7y80YYP3Oc4WcMr9DeSZIkSZIkSaubSWZtaNP3TdO8pMn0dyt1l/cdYnzTOKOHja7QnkmSJEmSJElrg0lmbUidxzs0L28y9bWpOf3RCOqn1qm91LrLkiRJkiRJUi9MMmtDyXbS+lKL1jUtaHfNGILacTXqJ9cZalh3WZIkSZIkSeqVSWZtCJlJ+5Y2zS1NOo/Orbs8evgojTMbDD/dusuSJEmSJElSv0wya92bvneaiUsmmLlnZk7/0H5l3eVDrbssSZIkSZIkDcoks9atzqMdmluaTH2jUnd5PGic1mDsmDFiyLrLkiRJkiRJ0o4wyax1J6eS1rUtWl9swXTXjGGovbxG46QGUTe5LEmSJEmSJC0Hk8xaNzKTqZunaF7eJB/POfNGnz9K44wGw/tYd1mSJEmSJElaTiaZtS5Mf7esu3zf3LrLw/sP09jUYPQg6y5LkiRJkiRJO4NJZq1pM4/M0NzcpH1re05/7B40XtVg7CXWXZYkSZIkSZJ2JpPMWpNyMmld3aJ1XQu6b14ehvoJdeon1omayWVJkiRJkiRpZzPJrDUlO8nU18q6y09W6i6/cJTG6Q2Gn2bdZUmSJEmSJGlXMcmsNaO9rU3zkiYz36vUXX7WMOObxhl5juEsSZIkSZIk7Wpm5bTqzTxU1l2+vVJ3eY+gcXqDsRePEWFpDEmSJEmSJGklmGTWqtVpdWhd1WLy+knodM0YLesun1AnxkwuS5IkSZIkSSvJJLNWnewkk1+ZpHVFi5yYW3d57MVjNE5vMLTn0ArtnSRJkiRJkqRuJpm1qrTvajNxyQSdBztz+ocPHGb8P40z8ixDVpIkSZIkSVpNzNhpVZj5/gwTmyeYvnN6Tv/QXkM0zmgw+oJR6y5LkiRJkiRJq5BJZq2ozkSH1pUtJm+chO7KGGNQf2Wd+ivqxIjJZUmSJEmSJGm1MsmsFZEzyeSNk7SubJGtSt3lo8dovKrB0O7WXZYkSZIkSZJWO5PM2qUyk/YdbZqXNulsn1t3eeSgERqbGozsb1hKkiRJkiRJa4XZPO0yM9+bYeLSCabvrtRd3nuIxpkNRo+07rIkSZIkSZK01phk1k7XebJDc2uTqZum5tZdrkHj5Aa142rWXZYkSZIkSZLWKJPM2mlyOpm8fpLm1U2Y7JoRUHtpjfqpdYZ2s+6yJEmSJEmStJaZZNayy0zat7VpXtak83Cl7vKhI4yfNc7wM4ZXaO8kSZIkSZIkLSeTzFpW0/dN07y0yfR3KnWX9x1i/KxxRg4bse6yJEmSJEmStI6YZNay6DzeoXl5k6mvTc3pj3pQP7VO7WU1YtjksiRJkiRJkrTemGTWDsl20vpSi9Y1LWh3zRiC2rE16qfUGWpYd1mSJEmSJElar0wyayCZSfuWNs0tTTqPzq27PHr4KI0zGww/3brLkiRJkiRJ0npnkll9m753molLJpi5Z2ZO/9B+Q4xvGmf00NEV2jNJkiRJkiRJu5pJZvWs81iH5pYmU1+v1F0eDxqnNRg7ZowYsu6yJEmSJEmStJGYZFZPpu+f5vGPPQ7TXZ1DUDu+RuOkBlE3uSxJkiRJkiRtRCaZ1ZPhZw4zvN8wM/cVJTJGjyzrLu9j3WVJkiRJkiRpIzPJrJ5EBOObxpn41wkaZzUYPdi6y5IkSZIkSZJMMqsPI88dYY8370GEpTEkSZIkSZIkFYZWege0tphgliRJkiRJktTNJLMkSZIkSZIkaWAmmSVJkiRJkiRJAzPJLEmSJEmSJEkamElmSZIkSZIkSdLATDJLkiRJkiRJkgZmklmSJEmSJEmSNDCTzJIkSZIkSZKkgZlkliRJkiRJkiQNzCSzJEmSJEmSJGlgJpklSZIkSZIkSQMzySxJkiRJkiRJGphJZkmSJEmSJEnSwJYlyRwRZ0fEhyLiqoh4LCIyIj6xxJgTI+JzEbE9IpoRcXNE/GpEDC8y5tURsTUiHo2IJyLiuog4Z4ntnBMR15fLP1qOf/WgP6skSZIkSZIk6QeW607m9wBvB44G7l1q4Yh4LXAlcArwj8CHgTHgz4ALFxjzduBi4EXAJ4C/Bp4FXBAR5y8w5nzgAuCAcvlPAC8GLi7XJ0mSJEmSJEnaAcuVZD4XOALYE/jlxRaMiD0pEr4zwGmZ+QuZ+esUCeovAmdHxBsrYw4Gzge2A8dm5tsy81zgJcBdwLsi4oTKmBOBd5XzX5KZ52bm24CXles5v1yvJEmSJEmSJGlAy5JkzszLM/OOzMweFj8b2A+4MDNv7FpHi+KOaHhqovrngRrw4czc1jXmYeCPypdvrYyZff2+crnZMduAvyjX93M97K8kSZIkSZIkaQEjK7DN08vpF+aZdyUwAZwYEbXMnOxhzOcry/Sync8Dv1su896ldjgivrzArOcvNVaSJEmSJEmS1rPlKpfRjyPL6e3VGZk5DdxNkfw+tMcx9wFPAgdGxDhAROwGPBt4opxfdUc5PWKQH0CSJEmSJEmSVFiJO5n3KqePLjB/tv9pfY7ZrVxuYsBtLCgzXzZff3mH80t7WYckSZIkSZIkrUcrcSezJEmSJEmSJGmdWIkk8+xdxHstMH+2/5EBxjxamfazDUmSJEmSJElSn1YiyfytcvqUesgRMQIcAkwD3+5xzAEUpTLuycwJgMx8ErgX2L2cX3V4OX1KjWdJkiRJkiRJUu9WIsm8pZz+8DzzTgHGgWszc7LHMT9SWWZHxkiSJEmSJEmS+rASSeZPAw8Cb4yIY2c7I6IO/GH58iOVMR8DJoG3R8TBXWP2Bn67fPnRypjZ179TLjc75mDgbeX6Pjb4jyFJkiRJkiRJGlmOlUTE64DXlS/3L6cnRMQF5b8fzMx3A2TmYxHxFopk89aIuBDYDvwYcGTZf1H3+jPz7oj4deCDwI0RcREwBZwNHAj8aWZ+sTLm2oj4APBrwM0R8WlgDHgDsA/wjszcthw/vyRJkiRJkiRtVMuSZAaOBs6p9B1aNoDvAO+enZGZ/xQRpwK/A/wEUAfupEgIfzAzs7qBzPxQRGwr1/OzFHdhfxN4T2b+7Xw7lZnvioivU9y5/ItAB/gK8CeZ+c+D/aiSJEmSJEmSpFnLkmTOzPOA8/occw3wo32OuRi4uM8xFwAX9DNGkiRJkiRJktSblajJLEmSJEmSJElaJ0wyS5IkSZIkSZIGZpJZkiRJkiRJkjSwmOcZe+pRRDzUaDT2Oeqoo1Z6VyRJkiRJkiRpYLfeeivNZnN7Zu7b71iTzDsgIu4G9gS2rfCuaG15fjm9bUX3QhudcajVwDjUamEsajUwDrUaGIdaLYxFrQYbMQ4PBh7LzEP6HWiSWdrFIuLLAJn5spXeF21cxqFWA+NQq4WxqNXAONRqYBxqtTAWtRoYh/2xJrMkSZIkSZIkaWAmmSVJkiRJkiRJAzPJLEmSJEmSJEkamElmSZIkSZIkSdLATDJLkiRJkiRJkgYWmbnS+yBJkiRJkiRJWqO8k1mSJEmSJEmSNDCTzJIkSZIkSZKkgZlkliRJkiRJkiQNzCSzJEmSJEmSJGlgJpklSZIkSZIkSQMzySxJkiRJkiRJGphJZkmSJEmSJEnSwEwyS/OIiH0j4s0R8Y8RcWdENCPi0Yi4OiJ+ISKe8rcTEbWIeFtEXB8RD0bEExFxa0R8MCIOWmRb55Rjnii3sTUiXr3I8sMRcW5E3Fzu1/aI+FxEnLhcP79Wj4j4bxFxWUT8W9f/900R8d6I2HeBMSeWMbG9HHNzRPxqRAwvsp1Xl7H3aBmL10XEOUvsW1+xq7WrnziMiMMj4jcjYku5/FREfC8iPhsRr1piOx4PtahBjomV8X8TEVm2wxZYpu+4iohGRPx+RHwrIloR8UBEfDIijtqRn1er04DvzcPlueWVEfFwOe7bEXFRRByxwBiPiVpQv3EYXqtoF4mIn+56r33zAsvs9GsPY3FjWywOI+LoiDgvIq6JiPuiuF65NyL+ISJeusg6PUdcQmTmSu+DtOpExFuBjwD3AZcD3wWeCfw4sBfwf4HXZ/kHFBEjwFbglcBtwGZgEjgOOAV4FDgxM79Z2c75wLuAe4BPA2PAG4F9gHdk5ocrywfwSeBs4FvAxeWybwDqwE9k5meX7zehlRYRU8BXgG8CDwC7Aa8AjgX+HXhFZv5b1/KvpYjPFnARsB14DXAk8OnMfP0823g78CHgoXLMFEWMHQj8aWa+e54xfcWu1rZ+4jAiLqQ4Jn0TuJoiBo8EfgwYBn4lMz84zzY8HmpJ/R4TK2NfA/w/4Algd+DwzLyzskzfcRURNeAyinOAG4EtwHOA11McT0/PzOt29GfX6jHAe/PuwGeB04GvAldQvE8/GzgZeHtm/nNlGx4Ttag+35u9VtEuERHPAb5Occ63O/CWzPybyjI7/drDWNzYlorDiPgScDzwZeA6inPDo4FNwDTwhsz8TGWdniP2IjNtNlulUVwEvAYYqvTvT5FwToqDyGz/68u+zfOM+f1y3v+u9J9Y9t8J7N3VfzDFG24LOLgy5ifLMdcA9a7+4yhOFB8A9ljp359tWWOxvkD/+8pY+Muuvj3LGJgEju1eB3BtufwbK+s5uIy1h7rjDdi7jM0ETqiM6Tt2bWu79RmHbwKOmWfZUylOpiaBAyrzPB7aemr9xGJl/n7A/cCFFImWBA6bZ7m+4wr4rXLMp7rPAYDXlv23UDk3sK3t1m8cAn9X9v/SAuNGK689JtqWbH2+N3utYtvpDYgyxu4C/qSMhTdXljmYXXDtYSxu3NZjHL6D+c8D/3O5/IPAWGWe54g9NMtlSPPIzC2ZeXFmdir99wMfLV+e1jXr0HL6L9UxFHeuQHGB2+2t5fR9mflw1za2AX8B1ICfq4z55XL6nsxsdY25geJT4P0oPlnTOtH9/1zxyXJ6eFff2RQxcGFm3lhZx3vKl7/MXD9PEWsfLmNvdszDwB+VL99aGTNI7GoN6ycOM/OCzLxpnnVcQZHcG6O4WOjm8VA96fOY2O1/ltO3LbGJvuKqvKtlNn5/o/scIIu7Wa4CXkDxIYvWiX7isPza7U8BF2XmXy2wvnaly2OiltTn8dBrFe0K76S4WevngCcXWGZXXXsYixvXknGYmR/KyrfZyv6/A+4A9gVeXJntOWIPTDJL/Zu9EJju6rulnP5IPLVe82ydqM2V/tPL6Rfm2cbnK8sQEXWKxMwExQFpyTFa115TTm/u6lsspq6kiJ0Ty6/t9DJmoZgaZIzWp/nicDHzHT/B46F23IKxGBFvAl5HcRfpQwutYMC4eh7wXOD2zLy7xzFav+aLw58qp/8QEXuVNSJ/KyJ+MRaoC47HRO2Y+eLQaxXtVGV92fcDf56ZVy6y6E6/9jAWN64+4nAxT7le8RyxdyMrvQPSWlLWM/vZ8mX3m9y/AJ+hqNn89YjYTPG18JcBJ1HUnPqLrvXsRlGH74nMvG+eTd1RTrsfBPM8ippC387MaoJmoTFaJyLi3RT1pPaiqLV3EsXFw/u7FjuynN5eHZ+Z0xFxN/BCirtZbu1hzH0R8SRwYESMZ+bEgLGrdaLHOFxo7EHAGRQnZ1d29Xs8VN96jcUy7v4c+EQuXXtxkLha8Bi6yBitEz3G4XHl9CCKr+52P5AtI+IjwDszc6Zcp8dE9aXHOPRaRTtNeY38fyjKSv72EovvimsPY3ED6jMOF1rHKyjuLr4X+EbXLM8Re2SSWerP+4EXAZ/LzH+d7czMjIizgfdSlCV4QdeYy4C/rxyM9iqnjy6wndn+p+3gGK0f76Z4+OSsLwBvyszvd/XtrLjarVxuYsBtaP3oJQ6forx7/u8ovs74G91fdcTjoQazZCyWd+v9LcXDXN7ZwzqNRfWrl2PiM8rpB4B/ojhPvIfigUMfBf4L8H3gvHI541D9WjIOvVbRTvZ7wDHASZnZXGLZXXHtYSxuTP3E4VNExD7Ax8uX585++FsyDntkuQypRxHxToon2t4G/ExlXp2iDs+7KOo9HkBxUPlRijtXroyI1+7SHda6kpn7Z2ZQPHzyxynuRr6prPUo7RKDxGFEDFPcVfBKiuPk+btiX7W+9RiL51LUuXtL5YMNaVn0GIez11u3UTyt/rbMfCIzL6Oo3dgBfi0ixnblvmv96CUOvVbRzhIRx1PcNfqnmfnFld4fbUw7GoflHfOfpahl/98z81PLvIsbhklmqQcR8XaKr9t+E3hVZm6vLPJfKZ7a/DuZ+VeZeX9mPpaZn6e4gBgtx8+a/dRqL+Y32//IDo7ROpOZ38vMfwQ2UXzl9uNds3dmXD1amRqHG9gScfgfygTzJyiOj58EfjqzeKRyF4+HGthCsRgRRwDvAz6WmZ/rcXXGogayxDFx9v/+4spdUWTm14C7gT2Ao8pu41ADWSIOvVbRsivLE3ycohzA7/Y4bFdcexiLG8iAcdg9fjeKkkInAR/IzN+cZzHjsEcmmaUlRMSvUtQp+wZFgvn+eRabfWDG5dUZ5QXEw8BBEbFv2fckRZ2f3SPigHnWN/s06O76PXcBM8Ch5YG0lzFapzLzOxQferwwIp5edn+rnD6lrlMZM4dQPMDg212zFhtzAMXX1e7JzIlyu4PErtapBeIQgIgYBf4BeCPw98BPzVfDzOOhlsM8sfgCyqfNR0R2N37wFO87yr7Xla8HiasFj6GLjNE6tcR780IXkbN32TfKdXhM1A5ZIA69VtHOsDvF+99RQKvyXvvecpm/Lvv+R/l6V1x7GIsbyyBxCEBE7EHxAL5TKe5gftcC2/AcsUcmmaVFRMRvAn8GfJUiwfzAAovWyul+86yjRnGHChQP2Ji1pZz+8Dzr+5HKMmRmC7gWGAdO7mWM1r1nldPZO6MWi6lTKGLn2syc7OrvKw53YIzWr2ocUn7t+1MUd019HPiZ6h18FR4PtRy6Y3Eb8L8WaLMfFn+qfL0NBo6ruygeMHNERBzS4xitb9Vj4uZy+qLqguU54uxF5rauWR4TtaOqcei1inaGSRZ+r72pXObq8vVsCYOdfu1hLG44g8QhEbEXcAlFjLxvgTuYAc8R+5KZNpttnkbxVYsEbgT2WWLZvyyX3QzUKvP+uJx3faX/xLL/TmDvrv6DgYeAFnBwZcxPlmOuAepd/cdRHFwfAPZc6d+dbdli8Ahgr3n6hyi+Bp7ANV39e1I8PGgSOLarv07xppjAGyvrOqSMtYe64w3Yu4zNBE6ojOk7dm1rtw0QhzWKr5wl8DfAUA/b8HhoW7L1G4uLrGdruexh88zrO66A3yrHfKo73oHXlv239PJ3YFsbbYBj4m4Ud+FNAS+vjPnDcvktlX6PibbljkOvVWy7tFE8zDSBN1f6d8m1h7FoK/+/F4rDvYEbynm/1+O6PEfsoc13m7e04UXEOcAfUHz6fxXwzoioLrYtMy8o//0+4DXAGcBtEfEFoEnxoKuXl//+le7BmXltRHwA+DXg5oj4NDAGvAHYB3hHZm6rbPNCigd6nE3xQI+LKWquvQEYpni40WM79MNrNflR4I8j4mqKmo0PUTw9/FSKh7rcD7xlduHMfCwi3gJ8GtgaERcC24EfA44s+y/q3kBm3h0Rvw58ELgxIi6iuBA+GziQeR6eMGDsau3qKw6Bj5ZjHqRIrPzePMfPrZm5dfaFx0P1qN9YHMQgcfUBiq+inw1cFxGXAc+luJN/Avj5zOzs4H5p9ej3vfnJiHgT8M/AVRHxGYpj4/EU9R8fAH6pewMeE9WDfo+HXqtoVdiF1x7GohbzGRF9+x8AAAHfSURBVOBYiruNhyLivHmW+afM/GrXa88Re7HSWW6bbTU2fvCJ12Jta2XMfsD5wK0Un6ZOAd8BPgY8f5FtvYniU7QngceBK4BXL7L8CHAu8HWKE8KHgc8BJ67078227HH4IuDDFOVaHqSop/xoGS/nscAd9hQXDJ8rY6NZxsq5wPAi23pNGXuPl7F4A3DOEvvXV+za1mbrNw75wV2ii7XzliOmPB5urDboMXGe9czG6FPuZC7n9x1XFF+f/APgDoq7Wb5PcdfKC1b692Zb3rYD780/RPFh7/cpzhG/C3wEeNYi2/KYaFvo/7rvOMRrFdsubCxwB2nX/J1+7WEs2haKQ4oSVUtdr7xpnvV5jrhEi/KHliRJkiRJkiSpbz74T5IkSZIkSZI0MJPMkiRJkiRJkqSBmWSWJEmSJEmSJA3MJLMkSZIkSZIkaWAmmSVJkiRJkiRJAzPJLEmSJEmSJEkamElmSZIkSZIkSdLATDJLkiRJkiRJkgZmklmSJEmSJEmSNDCTzJIkSZIkSZKkgZlkliRJkiRJkiQNzCSzJEmSJEmSJGlgJpklSZIkSZIkSQMzySxJkiRJkiRJGphJZkmSJEmSJEnSwEwyS5IkSZIkSZIGZpJZkiRJkiRJkjSw/w/VwU3VYZp74gAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "execution_count": 40, "metadata": { "image/png": { "height": 411, "width": 716 }, "needs_background": "light" }, "output_type": "execute_result" } ], "source": [ "X_plot=np.linspace(2700, 4200, 100)\n", "Y_plot=0.28591361*X_plot+241.24058642\n", "plt.plot(X_plot, Y_plot, color=\"violet\")" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "([],\n", " [])" ] }, "execution_count": 42, "metadata": { }, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "execution_count": 42, "metadata": { "image/png": { "height": 351, "width": 352 }, "needs_background": "light" }, "output_type": "execute_result" } ], "source": [ "p=sns.lmplot(\"Head Size\", \"Brain Weight\", data=brainhead, fit_reg=False)\n", "plt.plot(X_plot, Y_plot, color=\"red\"), plt.plot(X_plot1, Y_plot1, color=\"green\")" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "16. Examine the lines created by least squares regression and orthogonal regression. (You may want to plot both on the same graph.) Does one appear to fit the data better than the other?" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "#TODO" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (system-wide)", "language": "python", "metadata": { "cocalc": { "description": "Python 3 programming language", "priority": 100, "url": "https://www.python.org/" } }, "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": "3.6.9" } }, "nbformat": 4, "nbformat_minor": 0 }