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    "***\n",
    "<span style=\"color:#008385\">\n",
    "\n",
    "**15-448: Machine Learning in a Nutshell**, *CMU-Qatar* Spring'20\n",
    "\n",
    "**Gianni A. Di Caro**, www.giannidicaro.com\n",
    "\n",
    "<u>Disclaimer:</u> This notebook was prepared for teaching purposes. It can include material from different web sources. I'll happy to explicitly acknowledge a source if required. \n",
    "</span>\n",
    "***"
   ]
  },
  {
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   "source": [
    "<h1>Table of Contents<span class=\"tocSkip\"></span></h1>\n",
    "<div class=\"toc\"><ul class=\"toc-item\"><li><span><a href=\"#Regression-problems\" data-toc-modified-id=\"Regression-problems-1\"><span class=\"toc-item-num\">1&nbsp;&nbsp;</span>Regression problems</a></span><ul class=\"toc-item\"><li><span><a href=\"#Linear-Regression\" data-toc-modified-id=\"Linear-Regression-1.1\"><span class=\"toc-item-num\">1.1&nbsp;&nbsp;</span>Linear Regression</a></span></li><li><span><a href=\"#What-if-the-envisaged-relationship-isn't-linear?\" data-toc-modified-id=\"What-if-the-envisaged-relationship-isn't-linear?-1.2\"><span class=\"toc-item-num\">1.2&nbsp;&nbsp;</span>What if the envisaged relationship isn't linear?</a></span></li><li><span><a href=\"#Numeric-example:-log-transformation-to-exponential\" data-toc-modified-id=\"Numeric-example:-log-transformation-to-exponential-1.3\"><span class=\"toc-item-num\">1.3&nbsp;&nbsp;</span>Numeric example: log transformation to exponential</a></span></li><li><span><a href=\"#Ordinary-Least-Squares-(OLS)\" data-toc-modified-id=\"Ordinary-Least-Squares-(OLS)-1.4\"><span class=\"toc-item-num\">1.4&nbsp;&nbsp;</span>Ordinary Least Squares (OLS)</a></span></li><li><span><a href=\"#Solution-of-OLS-problems\" data-toc-modified-id=\"Solution-of-OLS-problems-1.5\"><span class=\"toc-item-num\">1.5&nbsp;&nbsp;</span>Solution of OLS problems<br></a></span></li><li><span><a href=\"#Numeric-example:-solution-by-hand-and-solution-by-sklearn\" data-toc-modified-id=\"Numeric-example:-solution-by-hand-and-solution-by-sklearn-1.6\"><span class=\"toc-item-num\">1.6&nbsp;&nbsp;</span>Numeric example: solution by hand and solution by <code>sklearn</code></a></span></li><li><span><a href=\"#Issues-with-matrix-inversion\" data-toc-modified-id=\"Issues-with-matrix-inversion-1.7\"><span class=\"toc-item-num\">1.7&nbsp;&nbsp;</span>Issues with matrix inversion</a></span><ul class=\"toc-item\"><li><span><a href=\"#Linear-dependence-among-feature-vectors:-two-or-more-columns-are-dependent\" data-toc-modified-id=\"Linear-dependence-among-feature-vectors:-two-or-more-columns-are-dependent-1.7.1\"><span class=\"toc-item-num\">1.7.1&nbsp;&nbsp;</span>Linear dependence among feature vectors: two or more columns are dependent</a></span></li><li><span><a href=\"#Rank-of-a-matrix-(Optional)\" data-toc-modified-id=\"Rank-of-a-matrix-(Optional)-1.7.2\"><span class=\"toc-item-num\">1.7.2&nbsp;&nbsp;</span>Rank of a matrix (Optional)</a></span><ul class=\"toc-item\"><li><span><a href=\"#Linear-independence-(Optional)\" data-toc-modified-id=\"Linear-independence-(Optional)-1.7.2.1\"><span class=\"toc-item-num\">1.7.2.1&nbsp;&nbsp;</span>Linear independence (Optional)</a></span></li><li><span><a href=\"#Definition-of-rank-(Optional)\" data-toc-modified-id=\"Definition-of-rank-(Optional)-1.7.2.2\"><span class=\"toc-item-num\">1.7.2.2&nbsp;&nbsp;</span>Definition of rank (Optional)</a></span></li><li><span><a href=\"#Rank-of-the-feature-matrix-(Optional)\" data-toc-modified-id=\"Rank-of-the-feature-matrix-(Optional)-1.7.2.3\"><span class=\"toc-item-num\">1.7.2.3&nbsp;&nbsp;</span>Rank of the feature matrix (Optional)</a></span></li></ul></li><li><span><a href=\"#Rank-of-the-feature-matrix-${\\bf-X}$-vs.-number-of-rows-and-of-columns-(Optional)\" data-toc-modified-id=\"Rank-of-the-feature-matrix-${\\bf-X}$-vs.-number-of-rows-and-of-columns-(Optional)-1.7.3\"><span class=\"toc-item-num\">1.7.3&nbsp;&nbsp;</span>Rank of the feature matrix ${\\bf X}$ vs. number of rows and of columns (Optional)</a></span></li><li><span><a href=\"#Matrix-inversion-issues-because-of-insufficient-examples-(Optional)\" data-toc-modified-id=\"Matrix-inversion-issues-because-of-insufficient-examples-(Optional)-1.7.4\"><span class=\"toc-item-num\">1.7.4&nbsp;&nbsp;</span>Matrix inversion issues because of insufficient examples (Optional)</a></span></li></ul></li><li><span><a href=\"#Linear-regression-with-non-linear-feature-transformations\" data-toc-modified-id=\"Linear-regression-with-non-linear-feature-transformations-1.8\"><span class=\"toc-item-num\">1.8&nbsp;&nbsp;</span>Linear regression with non-linear feature transformations</a></span><ul class=\"toc-item\"><li><span><a href=\"#Cost-of-increasing-the-number-of-features\" data-toc-modified-id=\"Cost-of-increasing-the-number-of-features-1.8.1\"><span class=\"toc-item-num\">1.8.1&nbsp;&nbsp;</span>Cost of increasing the number of features</a></span></li><li><span><a href=\"#Transformation-to-highly-dimensional-spaces-where-the-function-becomes-linear\" data-toc-modified-id=\"Transformation-to-highly-dimensional-spaces-where-the-function-becomes-linear-1.8.2\"><span class=\"toc-item-num\">1.8.2&nbsp;&nbsp;</span>Transformation to highly dimensional spaces where the function becomes linear</a></span></li><li><span><a href=\"#Example:-use-of-linear-features-and-linear-regression-for-a-cubic-function\" data-toc-modified-id=\"Example:-use-of-linear-features-and-linear-regression-for-a-cubic-function-1.8.3\"><span class=\"toc-item-num\">1.8.3&nbsp;&nbsp;</span>Example: use of linear features and linear regression for a cubic function</a></span></li><li><span><a href=\"#Example:-polynomial-features-and-linear-regression-for-a-cubic-function\" data-toc-modified-id=\"Example:-polynomial-features-and-linear-regression-for-a-cubic-function-1.8.4\"><span class=\"toc-item-num\">1.8.4&nbsp;&nbsp;</span>Example: polynomial features and linear regression for a cubic function</a></span></li><li><span><a href=\"#Is-the-model-the-best-model?-Are-all-transformed-features-equally-contributing?\" data-toc-modified-id=\"Is-the-model-the-best-model?-Are-all-transformed-features-equally-contributing?-1.8.5\"><span class=\"toc-item-num\">1.8.5&nbsp;&nbsp;</span>Is the model the best model? Are all transformed features equally contributing?</a></span></li><li><span><a href=\"#Show-relative-feature-importance\" data-toc-modified-id=\"Show-relative-feature-importance-1.8.6\"><span class=\"toc-item-num\">1.8.6&nbsp;&nbsp;</span>Show relative feature importance</a></span></li><li><span><a href=\"#Remove-unnecessary-features,-select-model-complexity\" data-toc-modified-id=\"Remove-unnecessary-features,-select-model-complexity-1.8.7\"><span class=\"toc-item-num\">1.8.7&nbsp;&nbsp;</span>Remove unnecessary features, select model complexity</a></span></li><li><span><a href=\"#Cross-Validated-Grid-search\" data-toc-modified-id=\"Cross-Validated-Grid-search-1.8.8\"><span class=\"toc-item-num\">1.8.8&nbsp;&nbsp;</span>Cross-Validated Grid search</a></span></li></ul></li></ul></li></ul></div>"
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Regression problems\n",
    "\n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Linear Regression\n",
    "\n",
    "![image.png](attachment:image.png)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***\n",
    "<font size=\"+1\">\n",
    "\n",
    "- What is the meaning of **<i>linear</i>**?\n",
    "  \n",
    "  The prediction value $\\hat{y}$ is obtained by **summing up the contribution of each input feature** $x_i, \\ i=1, \\ldots, d$ in ${\\bf x}$<br><p>\n",
    "    \n",
    "  - E.g., Predict the price $y({\\bf x})$ of an apartment based on four predictor features \n",
    "    \n",
    "    $${\\bf x} = (square\\ meters,\\ floor,\\ number\\ of\\ rooms,\\ house\\ tax)?$$<br> \n",
    "    $\\rightarrow$ In a linear model the contribution of each feature *sums up*<br><p>\n",
    "    If ${\\bf x} = (130.5, 12, 6, 2210.63)$, the linear predictor says that:<br><p>\n",
    "    $$y({\\bf x}) = 130.5w_1 + 12w_2 + 6w_3 +  2210.63w_4$$\n",
    "        \n",
    "</font>\n",
    "\n",
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***\n",
    "<font size=\"+1\">\n",
    "    \n",
    "- What is the meaning of ${\\bf w}$? <br><p>\n",
    "\n",
    "  ${\\bf w}$ is a **numeric vector weighting the contribution of each input feature** $x_i, \\ i=1, \\ldots, d$, in ${\\bf x}$, in the summation making up the prediction $\\hat{y}$ <br><p>\n",
    "           \n",
    "</font> \n",
    "\n",
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font size=\"+1\">\n",
    "    \n",
    "- If ${\\bf x} = (130.5, 12, 6, 2210.63)$, <br><p>\n",
    "- and the learned weights are ${\\bf w} = (20245.7,\\ 374.6,\\ 78.5,\\ 104.4, 55.1)$, the linear predictor says that:<br><p>\n",
    "    \n",
    "$$\\hat{y}({\\bf x}) = 20245.7 + 130.5\\times 374.6 + 12\\times 78.5 + 6\\times 104.4 + 2210.63\\times 55.1 = 192505.11$$\n",
    "    \n",
    "</font> "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Predicted house price: 192505.11\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "#w = np.array([1.5, 0.4, 0.9, 1.1])\n",
    "w = np.array([20245.7, 374.6, 78.5, 104.4, 55.1])\n",
    "x = np.array([1, 130.5, 12, 6, 2210.63])\n",
    "\n",
    "price = x.dot(w)\n",
    "print('Predicted house price: {:.2f}'.format(price))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## What if the envisaged relationship isn't linear?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font size=\"+1\">\n",
    "    \n",
    "What if the model to represent the relation between features and predictions is not linear?\n",
    "    \n",
    "Check if we can apply **transformations to the variables to make it linear.** \n",
    "</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font size=\"+1\">\n",
    "For instance, if the envisaged model is of the following form:<br>\n",
    "\n",
    "$$y(t) = ae^{bt}$$\n",
    "\n",
    "e.g., $t$ is the day of the start of the infection of corona virus and $y(t)$ is the number of infected people at day $t$.\n",
    "\n",
    "this is clearly not a linear, rather **exponential,** relation between predictor variables and predictions!\n",
    "</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font size=\"+1\">\n",
    "Applying a $\\log()$ transformation:\n",
    "    \n",
    "$$\\log(y) = \\log(a) + bt$$\n",
    "</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font size=\"+1\">\n",
    "This is still not linear for the relation between $t$ and $y$, since $y$ appears as a logarithm, but we can make it linear by applying the transformation $y' = \\log(y)$:\n",
    "    \n",
    "   $$y' = \\log(a) + bt$$\n",
    "    \n",
    "Now it's linear between predictor and prediction variables, but it is still <u>not linear with respect to the parameters that we have to estimate,</u> $a$ and $b$, since $a$ appears with a logarithm.\n",
    "\n",
    "However, we can we operate a further transformation, $a' = \\log(a)$ such that now the relation becomes fully linear and we can safely apply the methods of linear regression\n",
    "    \n",
    "$$y' = a' + bt$$\n",
    "    \n",
    "Of course, in order to recover the values of the original exponential relation, we have to apply all the used transformations.\n",
    "</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Numeric example: log transformation to exponential"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font size=\"+0.8\">\n",
    "    \n",
    "Applying a $log()$ transformation to exponential data indeed **linearize the data.**\n",
    "\n",
    "This can be seen in the numeric example below, where $n$ points are generated from an exponential function *corrupted* by some Gaussian noise (*homoscedastic,* uniform for all points).\n",
    "\n",
    "The plots show first the original data and underlying reference function, and then transformed data and the new (linear) reference function.\n",
    "</font>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "n = 50\n",
    "v_max = 10\n",
    "v_min = 5\n",
    "\n",
    "# generate n points uniformly distributed between v_min and v_max\n",
    "t = v_min + (v_max - v_min) * np.random.random((n))\n",
    "\n",
    "# some arbitrarily defined exponential function as a reference\n",
    "a = 3.5\n",
    "b = 0.5\n",
    "y_ref = a * np.exp(b * t) \n",
    "\n",
    "# some Gaussian noise, homoscedastic, to corrupt the reference values\n",
    "sigma = 15\n",
    "mu = 5\n",
    "y = y_ref + (sigma * np.random.randn(n) + mu)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# plot data points\n",
    "plt.figure(figsize=(7,6))\n",
    "plt.xlabel('t')\n",
    "plt.ylabel('y(t)')\n",
    "plt.scatter(t, y, s=4)\n",
    "\n",
    "# plot reference function\n",
    "x = np.linspace(v_min, v_max, 5000)\n",
    "plt.plot(x, a * np.exp(b * x), color='r')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# transform parameters and data according to the (know) map\n",
    "alog = np.log(a)\n",
    "blog = b\n",
    "ylog = np.log(y)\n",
    "\n",
    "# plot data points\n",
    "plt.figure(figsize=(7,6))\n",
    "plt.xlabel('t')\n",
    "plt.ylabel('$\\log(y(t))$')\n",
    "plt.scatter(t, ylog, s=4)\n",
    "\n",
    "# plot reference function\n",
    "x = np.linspace(v_min, v_max, 5000)\n",
    "plt.plot(x, alog + blog * x, color='r')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Ordinary Least Squares (OLS)\n",
    "\n",
    "<span style=\"font-size:140%\">Given a dataset with $n$ examples<br> $$\\mathcal{D} = \\{y^{(i)}, {\\bf x}^{(i)}\\}_{i=1}^n$$<br>\n",
    "    where the explanatory variables ${\\bf x}^{(i)}$ are <u>multivariate,</u> ($d$-dimensional) and the predictions $y^{(i)}$ are <u>scalars,</u> the **multiple linear regression problem** consists in: \n",
    "</span>\n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***\n",
    "<font size=\"+1\">\n",
    "    \n",
    "**Ordinary Least Squares (OLS):** We solve the linear regression problem by <u>minimizing the squares of the residuals / errors</u>\n",
    "    \n",
    " $$\\ell({\\bf w}) = \\frac{1}{m}\\sum_{i=1}^n \\Big(y^{(i)} - {\\bf w}\\cdot{\\bf x}^{(i)}\\Big)^2 =\n",
    " \\frac{1}{m} \\sum_{i=1}^n \\Big(y^{(i)} - \\hat{y}^{(i)}\\Big)^2.$$\n",
    "   \n",
    "</font>\n",
    "\n",
    "***"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div style=\"text-align: left;\">\n",
    "  <img src=\"attachment:image.png\" width=\"600\">\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***\n",
    "<font size=\"+1\">\n",
    "Adopting a compact <u>matrix form:</u>\n",
    "    \n",
    "$$\\ell({\\bf w}) = ({\\bf Y} - \\hat{\\bf Y})^T({\\bf Y} - \\hat{\\bf Y})$$    \n",
    "\n",
    "- ${\\bf Y}$: vector of **true labels**<br><p>\n",
    "    $$\n",
    "    {\\bf {Y}} = \n",
    "    \\begin{pmatrix}\n",
    "    {y}^{(1)}\\\\ {y}^{(2)}\\\\ \\vdots \\\\ {y}^{(n)}\n",
    "    \\end{pmatrix}\n",
    "    $$\n",
    "<br><p>\n",
    "- $\\hat{{\\bf Y}}$: vector of **predicted labels** based on the weights, ${\\bf w}^*$ \n",
    "    $$\n",
    "    {\\bf \\hat{Y}} = \n",
    "    \\begin{pmatrix}\n",
    "    \\hat{y}^{(1)}\\\\ \\hat{y}^{(2)}\\\\ \\vdots \\\\ \\hat{y}^{(n)}\n",
    "    \\end{pmatrix}\n",
    "    $$\n",
    "</font>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 130,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1260x1080 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#https://scikit-learn.org/stable/modules/generated/sklearn.datasets.make_regression.html\n",
    "    \n",
    "import sklearn.datasets as skd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# generate a linear regression dataset\n",
    "X, Y = skd.make_regression(n_samples=200, n_features=1, noise=15, random_state=1235)\n",
    "\n",
    "# plot regression dataset\n",
    "plt.figure(figsize=(7,6))\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.scatter(X, Y, s=2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 131,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn import linear_model \n",
    "\n",
    "# Create a lineear regression object\n",
    "OLS = linear_model.LinearRegression(fit_intercept=False) \n",
    "\n",
    "# Train the model using the training set, features and true labels\n",
    "OLS.fit(X, Y)\n",
    "\n",
    "# Get the predicted labels on the input features of the training set\n",
    "Yhat = OLS.predict(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 132,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Root Mean Square Error: 16.40\n",
      "Coefficient of determination (R2): 0.89\n"
     ]
    }
   ],
   "source": [
    "from sklearn.metrics import mean_squared_error, r2_score\n",
    "\n",
    "# The mean rooted squared error\n",
    "print('Root Mean Square Error: {:.2f}'.format(np.sqrt(mean_squared_error(Y, Yhat))))\n",
    "\n",
    "# The coefficient of determination: 1 is perfect prediction\n",
    "print('Coefficient of determination (R2): {:.2f}'.format(r2_score(Y, Yhat)))\n",
    "      "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 133,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1260x1080 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot regression dataset\n",
    "plt.figure(figsize=(7,6))\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.scatter(X, Y, s=2)\n",
    "\n",
    "# plot learned regression line\n",
    "x_plot = np.linspace(X.min(), X.max(), 1000)\n",
    "\n",
    "OLS_y = OLS.intercept_ + OLS.coef_ * x_plot\n",
    "plt.scatter(x_plot, OLS_y, color='r', s=0.3)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***\n",
    "<font size=\"+1\">\n",
    "    Summarizing, looking for a <u>linear regression model based on OLS,</u> is equivalent to say that:<br><p>\n",
    "    \n",
    "- *Given* the labeled dataset $\\mathcal{D} = \\{y^{(i)}, {\\bf x}^{(i)}\\}_{i=1}^n$<br><p><p>\n",
    "    \n",
    "- *Assumed* (inductive bias) that for an input vector ${\\bf x} = (1, x_1, x_2, \\ldots x_d)^T$, the associated value $y$ can be reliably predicted by applying a <u>linear model</u> of the type $\\hat{y} = {\\bf w}^T\\cdot {\\bf x}$<br><p>\n",
    "    \n",
    "    - Where ${\\bf w}$ is a numeric vector weighting the contribution of each input feature $x_i, \\ i=1, \\ldots, d$, in ${\\bf x}$.<br><p><p>\n",
    "    \n",
    "- $\\rightarrow$ *Find* the values ${\\bf w}^*$ of the weights  such that the SSE, $\\ell({\\bf w})$, over the dataset $\\mathcal{D}$ is minimized:<br><p>\n",
    "    $${\\bf w}^* = \\arg\\min_{\\bf w} \\ell({\\bf w}) = \\arg\\min_{\\bf w}  \\sum_{i=1}^n \\Big(y^{(i)} - {\\bf w}\\cdot{\\bf x}^{(i)}\\Big)^2 = \\arg\\min_{\\bf w}  \\sum_{i=1}^n \\Big(y^{(i)} - \\hat{y}^{(i)}\\Big)^2.$$\n",
    "</font>\n",
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font size=\"+1\">\n",
    "<span style=\"color:red\">The choice ${\\bf w}^*$ is such that $\\ell({\\bf w}^*)$ is the minimal value of $\\ell({\\bf w})$ over the training dataset $\\mathcal{D}$. </span>\n",
    "    \n",
    "This is equivalent to say that the predictions $\\hat{{\\bf Y}}$ in $\\mathcal{D}$ made using ${\\bf w}^*$, \n",
    "    \n",
    "$$ \n",
    "{\\bf \\hat{Y}} = \n",
    "\\begin{pmatrix}\n",
    "\\hat{y}^{(1)}\\\\ \\hat{y}^{(2)}\\\\ \\vdots \\\\ \\hat{y}^{(n)}\n",
    "\\end{pmatrix} = \n",
    "%\n",
    "\\begin{pmatrix}\n",
    "w_1^* \\\\ w^*_2 \\\\ \\vdots \\\\ w^*_n\n",
    "\\end{pmatrix}^T\n",
    "%\n",
    "\\cdot\n",
    "%\n",
    "\\begin{pmatrix}\n",
    "x_1^{(1)}& x_2^{(1)}& \\ldots & x_d^{(1)}\\\\\n",
    "x_1^{(2)}& x_2^{(2)}& \\ldots & x_d^{(2)}\\\\\n",
    "\\ldots & \\ldots & \\ldots & \\ldots \\\\\n",
    "x_1^{(n)}& x_2^{(n)}& \\ldots & x_d^{(n)}\n",
    "\\end{pmatrix}\n",
    "%\n",
    "= {\\bf w}^{*^{^T}}\\cdot {\\bf X}\n",
    "$$\n",
    "    \n",
    "provide the minimal SSE loss in reference to the prediction labels ${\\bf Y}$: <br><p>\n",
    "    $$\\ell({\\bf w}^*) = ({\\bf Y} - \\hat{\\bf Y})^T({\\bf Y} - \\hat{\\bf Y})$$\n",
    "    \n",
    "is minimal over all possible choices of the weights ${\\bf w}$.\n",
    "</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Solution of OLS problems<br>\n",
    "<font size=\"+1\">\n",
    "In the Lecture of Feb 19,<br>\n",
    "    \n",
    "https://web2.qatar.cmu.edu/~gdicaro/15488/lectures/488-S20-14-FeatureEngineering_Numeric_2.ipynb\n",
    "\n",
    "we have briefly discussed how a linear regression problem is solved (without digging into the math). Please refer to that lecture for additional details.\n",
    "    \n",
    "Here we should remember that the minimization problem \n",
    "     $${\\bf w}^* = \\arg\\min_{\\bf w} \\ell({\\bf w}) = \\arg\\min_{\\bf w}  \\sum_{i=1}^n \\Big(y^{(i)} - {\\bf w}\\cdot{\\bf x}^{(i)}\\Big)^2 .$$\n",
    "is solved by: \n",
    "\n",
    " 1. computing the **gradient vector** (i.e., the partial derivatives) of the the loss function $\\ell({\\bf w})$ with respect to the variables $w_i, i=0, \\ldots, d$, and equating each partial derivative to zero:\n",
    "    \n",
    "    $$\n",
    "    \\begin{cases}\n",
    "    \\begin{aligned}\n",
    "    \\frac{\\partial \\ell({\\bf w})}{\\partial w_0} = 0 \\\\[1ex]\n",
    "    \\frac{\\partial \\ell({\\bf w})}{\\partial w_1} = 0 \\\\\n",
    "    \\ldots\\\\\n",
    "    \\frac{\\partial \\ell({\\bf w})}{\\partial w_d} = 0 \n",
    "    \\end{aligned}\n",
    "    \\end{cases}\n",
    "    $$\n",
    " \n",
    " \n",
    " 2. finding the values ${\\bf w}^*$ of the components of the ${\\bf w}$ vector such that all $d$ partial derivatives equations are satisfied.<br><p>\n",
    "\n",
    "\n",
    "</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***\n",
    "<font size=\"+1\">\n",
    "\n",
    "<span style=\"color:red\">Once we proceed with the calculations, $\\ldots$, we would find that the solution of the OLS optimization problem can be obtained in <u>closed form</u> as:$\\ $<br><p>\n",
    "    \n",
    "$${\\bf w}^* = ({\\bf X}^T {\\bf X})^{-1}{\\bf X}^T{\\bf Y}$$\n",
    "</span>\n",
    "\n",
    "</font>\n",
    "\n",
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font size=\"+1\">\n",
    "$\\Rightarrow$ We can solve an OLS regression problem by matrix transposition, inversion, and multiplication!\n",
    "</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font size=\"+1\">\n",
    "    <u>Dimensions (including bias in the ${\\bf X}$ matrix):</u><br>\n",
    "    \n",
    "- ${\\bf X}$: $n\\times (d+1)$ matrix<br><p>\n",
    "- ${\\bf X}^T$: $(d+1)\\times n$ matrix<br><p>\n",
    "- ${\\bf Y}$: $n$ vector (or, $n\\times 1$ matrix)<br><p>\n",
    "- ${\\bf w}$: $(d+1)$ vector (or, $(d+1)\\times 1$ matrix)<br><p><p>\n",
    "    \n",
    "The equation ${\\bf w}^* = ({\\bf X}^T {\\bf X})^{-1}{\\bf X}^T{\\bf Y}$ in dimensional form:<br><p>\n",
    "    $$[d+1] = [(d+1)\\times (d+1)]\\cdot [(d+1)\\times n] \\cdot [n]$$\n",
    "</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***\n",
    "<font size=\"+1\">\n",
    "\n",
    "<span style=\"color:red\"><u>Watch out!</u></span>\n",
    "        \n",
    "The above solution results from the equation:<br>\n",
    "  \n",
    "$$ ({\\bf X}^T {\\bf X}){\\bf w} = {\\bf X}^T{\\bf Y} $$\n",
    "\n",
    "    \n",
    "$$\n",
    "\\begin{aligned}\n",
    "&a_{00}w_0 + a_{01}w_1 + a_{02}w_2 + \\ldots + a_{0d}w_d = c_0y^{(0)}\\\\\n",
    "&a_{10}w_0 + a_{11}w_1 + a_{12}w_2 + \\ldots + a_{1d}w_d = c_1y^{(1)}\\\\\n",
    "&\\cdots \\quad \\cdots\\\\\n",
    "&a_{d0}w_d + a_{d1}w_1 + a_{d2}w_2 + \\ldots + a_{dd}w_d = c_dy^{(d)}\n",
    "\\end{aligned}\n",
    "$$\n",
    "    \n",
    "This <u>linear system of $d+1$ equations in of $d+1$ unknowns</u> has a **unique solution**, ${\\bf w}^*$, if and only if the matrix $({\\bf X}^T {\\bf X})$ (of the coefficients $a_{ij}$ above, is **invertible**.\n",
    "    \n",
    "If the matrix is *not* invertible, meaning that  it is **singular**, then the system / solution equation has infinite solutions. \n",
    "    \n",
    "<u>Singular matrix</u>: the matrix has not *full rank,* columns are *not linearly independent,* the determinant is zero.\n",
    "***\n",
    "</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Numeric example: solution by hand and solution by `sklearn`"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's look at an example, to grasp a few additional concepts and better understand the role of the feature matrix ${\\bf X}$.</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's use the following small dataset of $n = 10$ example points of 2-variate features that are generated as Gaussian noise about a 2D hyperplane."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "matplotlib.rcParams['figure.dpi']= 180 # set the resolution to x dpi"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def hyperplane_2D(x, c2=2, c1=3.5, c0=5):\n",
    "    return c2*x[1] + c1*x[0] + c0\n",
    "\n",
    "def hyperplane_nD(x, d):\n",
    "    c = np.random.random(size = d+1)\n",
    "    print(c.shape)\n",
    "    return c[1:].dot(x) + c[0]\n",
    "  \n",
    "def generate_multivariate_regression_data(f, n=800, dimensions=2, \n",
    "                                          xmin=-10, xmax=10, \n",
    "                                          seed=123,\n",
    "                                          visualize=True):\n",
    "    \n",
    "    np.random.seed(seed)\n",
    "    \n",
    "    # -------- Generate noisy data points ---------\n",
    "    # random uniform on the x dimensions\n",
    "    x = xmin + (xmax - xmin)* np.random.random((dimensions, n))\n",
    "    \n",
    "    # Gaussian noise on the y with a width equal to the 7.5% of the range \n",
    "    # of the function in the x interval\n",
    "    if dimensions == 2:\n",
    "        z = f(x)\n",
    "    else:\n",
    "        z = f(x, dimensions)\n",
    "        \n",
    "    range_f = abs(np.max(z) - np.min(z))\n",
    "    width = 0.075 * range_f\n",
    "    #print('Range: {:.3f} - Width: {:.3f}'.format(range_f, width))\n",
    "    \n",
    "    noise = width * np.random.choice([-1,1], size=n) * np.random.standard_normal(size=n)\n",
    "    \n",
    "    if dimensions == 2:\n",
    "        z_noise = f(x) + noise\n",
    "    else:\n",
    "        z_noise = f(x, dimensions) + noise\n",
    "\n",
    "    \n",
    "    if (dimensions == 2) and visualize:\n",
    "        # -------- plot noisy data ---------\n",
    "        from mpl_toolkits.mplot3d import Axes3D\n",
    "\n",
    "        plot3d = Axes3D(plt.figure()) # get handler for a 3d figure plot\n",
    "        plot3d.view_init(elev=25., azim=65)\n",
    "            \n",
    "        # plot data points\n",
    "        plot3d.scatter3D(x[0], x[1], z_noise, c=z_noise, cmap='Greens');\n",
    "       \n",
    "        #Plot the underlying three-dimensional plane\n",
    "        xplane = np.linspace(xmin, xmax, 2000)\n",
    "        yplane = np.linspace(xmin, xmax, 2000)\n",
    "        \n",
    "        xx, yy = np.meshgrid(range(xmin, xmax), range(xmin, xmax))\n",
    "        xy_coord = np.array([xx, yy])\n",
    "        z = f(xy_coord)\n",
    "        plot3d.plot_surface(xx, yy, z, alpha=0.2)\n",
    "\n",
    "        plot3d.set_xlabel('$x_1$')\n",
    "        plot3d.set_ylabel('$x_2$')\n",
    "        plot3d.set_zlabel('$f(x_1, x_2)$')\n",
    "\n",
    "        plt.show()\n",
    "    \n",
    "    # store the data in a pandas DataFrame\n",
    "    df = pd.DataFrame(data = x.T, columns = ['x{}'.format(i) for i in range(1, dimensions+1)])\n",
    "    df['f(x)'] = z_noise\n",
    "    return df\n",
    "\n",
    "# this generate 'samples' examples based on a Gaussian noise applied \n",
    "# to the points of a given hyperplane\n",
    "samples = 20\n",
    "df = generate_multivariate_regression_data(hyperplane_2D, samples, visualize=True)\n",
    "#df = generate_multivariate_regression_data(hyperplane_nD, samples, dimensions=40, visualize=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The ${\\bf X}$ matrix and the ${\\bf Y}$ vector are stored in the pandas dataframe `df`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "X:\n",
      "      x0    x1    x2\n",
      "0   1.0  3.93  2.69\n",
      "1   1.0 -4.28  6.99\n",
      "2   1.0 -5.46  4.49\n",
      "3   1.0  1.03  2.22\n",
      "4   1.0  4.39  4.45\n",
      "5   1.0 -1.54 -3.54\n",
      "6   1.0  9.62 -2.76\n",
      "7   1.0  3.70 -5.43\n",
      "8   1.0 -0.38 -4.13\n",
      "9   1.0 -2.16  2.62\n",
      "10  1.0 -3.14 -8.16\n",
      "11  1.0  4.58 -1.33\n",
      "12  1.0 -1.23 -1.38\n",
      "13  1.0 -8.81 -0.13\n",
      "14  1.0 -2.04 -1.48\n",
      "15  1.0  4.76 -3.75\n",
      "16  1.0 -6.35 -1.47\n",
      "17  1.0 -6.49  7.87\n",
      "18  1.0  0.63  8.88\n",
      "19  1.0  0.64  0.04\n",
      "\n",
      "Y:\n",
      " 0     28.47\n",
      "1     -5.93\n",
      "2      0.60\n",
      "3     17.65\n",
      "4     21.52\n",
      "5    -11.01\n",
      "6     32.99\n",
      "7     11.82\n",
      "8     -0.63\n",
      "9     -5.10\n",
      "10   -15.65\n",
      "11    23.13\n",
      "12    -5.50\n",
      "13   -29.60\n",
      "14    -3.71\n",
      "15     8.26\n",
      "16   -13.88\n",
      "17    -5.57\n",
      "18    24.77\n",
      "19     8.34\n",
      "Name: f(x), dtype: float64\n"
     ]
    }
   ],
   "source": [
    "df = df.round(2)\n",
    "X = df.iloc[:, [0,1]]\n",
    "\n",
    "# add the bias component\n",
    "X.insert(0, 'x0', np.ones( (X.shape[0]) ))         \n",
    "         \n",
    "Y = df.iloc[:, -1]\n",
    "\n",
    "print('X:\\n',X)\n",
    "print('\\nY:\\n',Y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's compute the weights of the linear regression model by using the above formula:\n",
    "\n",
    "$${\\bf w}^* = ({\\bf X}^T {\\bf X})^{-1}{\\bf X}^T{\\bf Y}$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "w0: 5.02, w1: 3.45, w2: 1.54\n",
      "Linear model: 3.45x1 + 1.54x2 + 5.02\n"
     ]
    }
   ],
   "source": [
    "feature_product = np.matmul(X.values.T, X.values)\n",
    "feature_product_inv = np.linalg.inv(feature_product)\n",
    "\n",
    "all_feature_prods = np.matmul(feature_product_inv, X.T) \n",
    "w = np.matmul(all_feature_prods, Y.values)\n",
    "print('w0: {:.2f}, w1: {:.2f}, w2: {:.2f}'.format(*w))\n",
    "print('Linear model: {}{:.2f}x1 {} {:.2f}x2 {} {:.2f}'.format('-' if w[1] < 0 else '', w[1], \n",
    "                                                          '-' if w[2] < 0 else '+', w[2], \n",
    "                                                          '-' if w[0] < 0 else '+', w[0]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A pretty good fit to the original hyperplane $3.5x_1 + 2x_2 + 5$, also considering that only have generated\n",
    "20 examples!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "What do we get if we use `skelearn` methods?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn import linear_model "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Model Coefficients 5.018 3.455 1.543\n",
      "\n",
      "Model Intercept 0.000\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# Create linear regression object\n",
    "OLS = linear_model.LinearRegression(fit_intercept=False)\n",
    "#OLS = linear_model.LinearRegression(fit_intercept=True) # data will be normalized\n",
    "\n",
    "# Train the model using the training sets\n",
    "OLS.fit(X, Y)\n",
    "\n",
    "# The coefficients\n",
    "print('Model Coefficients {:.3f} {:.3f} {:.3f}\\n'.format(*OLS.coef_))\n",
    "print('Model Intercept {:.3f}\\n'.format(OLS.intercept_))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Same result obtained by direct calculation!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "What about that `fit_intercept` parameter?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Model Coefficients 0.000 3.455 1.543\n",
      "\n",
      "Model Intercept 5.018\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# Create linear regression object\n",
    "#OLS = linear_model.LinearRegression(fit_intercept=False)\n",
    "OLS = linear_model.LinearRegression(fit_intercept=True) # data will be normalized\n",
    "\n",
    "# Train the model using the training sets\n",
    "OLS.fit(X, Y)\n",
    "\n",
    "# The coefficients\n",
    "print('Model Coefficients {:.3f} {:.3f} {:.3f}\\n'.format(*OLS.coef_))\n",
    "print('Model Intercept {:.3f}\\n'.format(OLS.intercept_))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The **intercept is zero,** data have been <u>normalized</u> such that now the plane / line passes by the origin and we don't have to worry about finding the intercept!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Issues with matrix inversion"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Linear dependence among feature vectors: two or more columns are dependent"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's modify the dataset such that the $x_1$ and $x_2$ feature vectors are **linearly dependent:** $x_1 = 2x_2$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This means that the $x_1$ and the $x_2$ feature vectors / columns are linearly dependent."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>x0</th>\n",
       "      <th>x1</th>\n",
       "      <th>x2</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1.0</td>\n",
       "      <td>5.38</td>\n",
       "      <td>2.69</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1.0</td>\n",
       "      <td>13.98</td>\n",
       "      <td>6.99</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.0</td>\n",
       "      <td>8.98</td>\n",
       "      <td>4.49</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.0</td>\n",
       "      <td>4.44</td>\n",
       "      <td>2.22</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1.0</td>\n",
       "      <td>8.90</td>\n",
       "      <td>4.45</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>1.0</td>\n",
       "      <td>-7.08</td>\n",
       "      <td>-3.54</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>1.0</td>\n",
       "      <td>-5.52</td>\n",
       "      <td>-2.76</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>1.0</td>\n",
       "      <td>-10.86</td>\n",
       "      <td>-5.43</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>1.0</td>\n",
       "      <td>-8.26</td>\n",
       "      <td>-4.13</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>1.0</td>\n",
       "      <td>5.24</td>\n",
       "      <td>2.62</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>1.0</td>\n",
       "      <td>-16.32</td>\n",
       "      <td>-8.16</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>1.0</td>\n",
       "      <td>-2.66</td>\n",
       "      <td>-1.33</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>1.0</td>\n",
       "      <td>-2.76</td>\n",
       "      <td>-1.38</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>1.0</td>\n",
       "      <td>-0.26</td>\n",
       "      <td>-0.13</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>1.0</td>\n",
       "      <td>-2.96</td>\n",
       "      <td>-1.48</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>1.0</td>\n",
       "      <td>-7.50</td>\n",
       "      <td>-3.75</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>1.0</td>\n",
       "      <td>-2.94</td>\n",
       "      <td>-1.47</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>1.0</td>\n",
       "      <td>15.74</td>\n",
       "      <td>7.87</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>1.0</td>\n",
       "      <td>17.76</td>\n",
       "      <td>8.88</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>1.0</td>\n",
       "      <td>0.08</td>\n",
       "      <td>0.04</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     x0     x1    x2\n",
       "0   1.0   5.38  2.69\n",
       "1   1.0  13.98  6.99\n",
       "2   1.0   8.98  4.49\n",
       "3   1.0   4.44  2.22\n",
       "4   1.0   8.90  4.45\n",
       "5   1.0  -7.08 -3.54\n",
       "6   1.0  -5.52 -2.76\n",
       "7   1.0 -10.86 -5.43\n",
       "8   1.0  -8.26 -4.13\n",
       "9   1.0   5.24  2.62\n",
       "10  1.0 -16.32 -8.16\n",
       "11  1.0  -2.66 -1.33\n",
       "12  1.0  -2.76 -1.38\n",
       "13  1.0  -0.26 -0.13\n",
       "14  1.0  -2.96 -1.48\n",
       "15  1.0  -7.50 -3.75\n",
       "16  1.0  -2.94 -1.47\n",
       "17  1.0  15.74  7.87\n",
       "18  1.0  17.76  8.88\n",
       "19  1.0   0.08  0.04"
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Xs = X.copy()\n",
    "Xs['x1'] = 2 * Xs['x2']\n",
    "Xs"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The $y$ values are still computed based on the hyperplane function: let's update the values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [],
   "source": [
    "xx = Xs.iloc[:, [1,2]].values\n",
    "Ys = [hyperplane_2D(xxi) for xxi in xx]  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's now check the values of the linear fit using OLS using manually computed values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "w0: 5.19, w1: -0.01, w2: 7.18\n",
      "Linear model: -0.01x1 + 7.18x2 + 5.19\n"
     ]
    }
   ],
   "source": [
    "feature_product = np.matmul(Xs.values.T, Xs.values)\n",
    "feature_product_inv = np.linalg.inv(feature_product)\n",
    "\n",
    "all_feature_prods = np.matmul(feature_product_inv, Xs.T) \n",
    "w = np.matmul(all_feature_prods, Ys)\n",
    "print('w0: {:.2f}, w1: {:.2f}, w2: {:.2f}'.format(*w))\n",
    "print('Linear model: {:.2f}x1 {} {:.2f}x2 {} {:.2f}'.format(w[1], \n",
    "                                                          '-' if w[2] < 0 else '+', w[2], \n",
    "                                                          '-' if w[0] < 0 else '+', w[0]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Model Coefficients 5.000 3.600 1.800\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# Create linear regression object\n",
    "OLS = linear_model.LinearRegression(fit_intercept=False)\n",
    "#OLS = linear_model.LinearRegression(fit_intercept=True) # data will be normalized\n",
    "\n",
    "# Train the model using the training sets\n",
    "OLS.fit(Xs, Ys)\n",
    "\n",
    "# The coefficients\n",
    "print('Model Coefficients {:.3f} {:.3f} {:.3f}\\n'.format(*OLS.coef_))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font size=\"+0.25\">\n",
    "Both methods find a solution, but now the solution is different!\n",
    "</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<span style=\"color:red; font-size:120%\">\n",
    "Indeed not full rank does not imply absence of solutions, but rather the presence of infinite solutions to the linear equation for determining ${\\bf w}^*$.\n",
    "</span>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font size=\"+0.25\">\n",
    "    \n",
    "**The use of different workaround methods define different solutions.**\n",
    "\n",
    "In the case of more severe linear dependences the computations can indeed generate errors.\n",
    "</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font size=\"+0.25\">\n",
    "    \n",
    "**Singular matrix:** the two columns are <u>linearly dependent!</u> The matrix has *not* **full rank!**\n",
    "\n",
    "Singularity-related errors can still arise when columns/features are **nearly linearly dependent**, because of rounding errors in the numeric procedures.\n",
    "</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Rank of a matrix (Optional)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Linear independence (Optional)\n",
    "\n",
    "A set of vectors in $\\mathbb{R}^m$, ${\\bf x}_1, {\\bf x}_2, \\ldots, {\\bf x}_d$ is linearly independent if the equation of their *linear combination*\n",
    "\n",
    "$$c_1{\\bf x}_1 +c_2{\\bf x}_2 + \\ldots +c_d{\\bf x}_d = 0$$\n",
    "\n",
    "can be satisfied *only* for the (trivial) choice $c_1 = c_2 = \\ldots \\ c_d = 0$.\n",
    "\n",
    "If this is the case, it means that there's not a choice of the coefficients $c_i$, apart from the trivial choice ${\\bf c} = {\\bf 0}$, that can allow to express one vector as a linear combination of the others. In other words, the vectors are **linearly \n",
    "independent.**\n",
    "\n",
    "If it is possible to find a non-trivial choice of the coefficient, ${\\bf c}$, the vectors are said **linearly dependent.**\n"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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XyjWV9xjHtxGiLuA4ZqDBLBjSZmg6DJGLvDtn1RnpyezyRx99dKHpPCTssc9QLrS+iveV5xjDF3HHGNlVtiOMIcfnn39+wVY7Y+utPLN4ylaHxIFyQbmZ61pz6ZKHsH7zm98sf2O5lfzlGwEM6Me4bXSokYkP+I6tu9TwdVhK9aEsW+YbOFHXUeeVynyWaU4aUm+hNKUOIw4t3DPPPNNbT9PW0mca8z2pFrLZj/8S+NWvfrXWHtPnqLkzzjhj7Vltd+L8sMroCSec0CvbUMMX8ddvg5166qk1JL5+SATG5NuWIuYVjtSbNUdfJMoFR767tUnHJDINj3Fsl1NFHO997WtfO/D4z3/+8zU/u+J74OURF2h3aPP4tWqDCJ42psV4oSSTDV8jErjBo0PL/Ktf/eq1PEu/s+YY/+SVX2P7qDW/h14nb+VxtZbjLsMXYRxWW9XC8MVKF8Y/pfI1lF88N2XsE++Wjsg0RzdQ8pNrQ/rqfYYv2hby6ZCxQU2OuM7Y7IUXXoi/Gz8i95ixTUkgxsrUB+hhW8q+yfZC21smjo11Q/LNWD/j+anj83i/dkQf1KJsq//Z8MVYc6jbRL5B14seF73vGLdpw1ervEz5QrfXoq4hrdDjI1sLR3qiIxn7DdojZ/jCANI1yKVQ1FxpJuhtt922VNYyuNXOxsUXX3zAGxKfCkufy+fsl37rrbceeDdfIMGYnVqb5YO/dMiQY2rFkTuKISudrJojE8Vzeix996ElD+ShMVdFp4Yf56985SuXsxgzE779Qr7Indh4j3v8aooZOsB83yaerx15n0a7y5XepWHB6JO3GcmKJp7L37Up+Ud877zzzi4xllsPspVe/k01DuBPlmXKIIE0VH9qflDRMruccpvTFcM4DH70ox91MrjsssuWz/Fs1A2PPfbY0pjIjNwofxzZJuaTn/xkbyVK2UVJkONBnMgf5GEMpTVHnN7znvcsfxdddFHtseX1b33rWwsmEehgjnz8gQ98YGVoV5Z9hi9W26IAVP94Hz8xrvL9tpojb7KSF5b8aMBIIwyyzFgJOboGmuo3suJPnhmNLBEGEwDCRVoRDsZgwmb7nhwX8gZpMOaD1XO4hHxDjzTSbD1EPINZHKkfyBtDZzFRBzNZgsGvThaBFWlFW0R+zY46LBhH2Bx5L66TrnMcK8JPOeWUA/EkDJSAtZWi1AdRPnK5j+uf+tSnBovGdmURJ45dW7KGp9ddd93aOzWFX8t8Q1lHvhxn0oUyAk91c9KQssv3JOivaPpzTh78+Mc/3jmgpN4NpmEYIF+fe+65K/lJ5+zI1+9617vW8mrkO/IE5brVQDanIWnV5xhIR7w41ozwff4clfuUp0h/BtZd7jgZvr773e+uuMBnaH3cxW/oPSZGaR5kQlyfo8zQ5sV7Yyck9fm/a/fH5NuWsmt92TWOijBPPPHEVT4q1YfxXIsj9WeUZcLqU8TQ3sTzHGvf8dL+Vct8RV+TMLXvGPLQBtJ34FvBXQoXvikceT763BzpH+tYi74R/g3t09AHYXxOmYp+FUxJc/qtjD9bGr7cVvWXgCFlnnSJPMSRvNHnWImp7zC5dJuOMaCGz4Rb/d9n+NpmW4WSF6MMXHM/NcohZS9c6RtftKUwpzxpPFnZxFh3aFs7dewTsm1CNxB+5+PYvnrJ8MVYOOuoYIjegvEQaTPEoRdkO96TTjppLQ1IT+r3rkn/Q/wvPTN2bFPyg/EF4wNtUyP/oHdBN1vTJYV/m2ov2BUA3RHGrcjXtBukV4zbugxfTP6LsS3Hhx56aCny2HwzRrc0dXweLNEHRplnbIBjbM1iBfQRWj9E2SbvTXXUK7DJejfGn1xnPFsygLTIN+jMIq7YDHDobrVvRF03xvUZvqgLI0+UVu5vKi+jL0I3w+pqNbZS1ogvY+IhOhRYUEfDRfvNUWYpJ/RZ0aV2GcLoswV7dF042gid8EF9OcYdKcMXHdeA1nVEsVJqBLTiiffpxJYSJRu+2OIlOsDxbteRmYHZOBMJg9Kpa4ZP9hf5ps48KSlX8R8ldsmhLM7h8z8bWVryQA7814qyJINeo8AoXxo+vd91nuPN3vtj0ha/uxRipbAZjEWDqPfV8IXSrfSMPp/PuwZyKCfz8/wvVaKZSek/nSX1jxlfUxwdOPjFrzQjE0Okdv403HyOHKUGD9nUDzpGVOj5/fyfvFVTvjKDJTe8+f34Tx1SMjqoTDVlI3lbG8bwMx/pvOi1muEL//Sj0PpOPqfjUlI2MKtFnyUdUQzoNc6HGr7OO++8A+9mv2688cZVFtOygcKkFHZ+P9fjK8/+76QFl+xn138mbgyp54hr3wCcTnGtflcOdDpzh5POmz5TOp+q5IIpRtSSn/kagy/aQ3UMvPJz+T/1/VCXJ7ywUrvPZa504NS1zDcoKHX2bI6r/ifPR9mcmoaspNaypP7rOQxCmahx5xyG+iz1Ym6DCUNdVoLo+3pOf2fK6nkNi3OMy+oviso+l/uIfRMr+vzb5fvkYc0Hpe/8qPxf+cpXFgwy808ZjymX6vfcc5SFWa5c7ses+GIVpMaLbyNty9FGaNjkyT5HO6fvDMnrfX7u6v2x+bZlPLS8DNm6UBUHm97ORg1ITHrpc4w3NM/UlAe6LSLxh/9cl+tmlSOf00eoKUY0PejbU8bz+/k//eAuxwTFvj4arFB0ht9z0zbzGFJ+3VYdTEUU35EmHDFe9jnGofrOWAVmn/9d9/MYncmZtLMqT5/ha5ttFf1gla10Tr8xXO7zsVWsltnS+5SlPgPGnLFPyKbj8Ba6gfC3dBzbV1fZGL+Rj0us9Br9nb5dZ3K/Xd/XcxTuecxTilfftaljm+wvO3rl8YXKG+fkLYw/MUbK/mjea9VeDNEpfeYzn1kaxUJO8ps6dCZxjyM7j+Hm5Jsu3dKc8XnIrWWbMovxr0+PSrvaV5+F//mofGrnjEPVtco3qg9AP6ZxD1nGthuq3yv1HzSv6mSCiJ/eb5WXWRRR+k5sxDGOpDN1eZdDf6UyxrulI/6x8rfklBN13L333nvA31rfteQf146U4asErHat1OHJHUXerSWMKkzz9my1MPP1UmbFUtrXqc7+8B9La00ZX0tcrucBcfiN8qvkSspk5NXBTkseyDCkcg+59XjmmWeuojCkUYx3Vy8tFsvCG9fHHpndXnIlf2ppHoYvOhlauZb8qF2DX8nlTnW8P9XwpRZ2/NrUx7qx5vc1oBGXOFI+NI8GD+1AxrNDjlT+2eF/Xp2EX9QhtXqkZBxUmUqdE8o5MxyGyJmfKRm+MCLSec7Pdv1HkZhdNnzpjFr1axuGLw2v77xmpG7FJXOq/cfAU8ontbqBeNVWD5POffHW+4ShHYshde4UwxdlBEWVht13DhPd8rW14evmm29ek4d6rMsxqFaZ83ePWuYbeI0tmzHraUoaZgWbxrN2Xmpf8gC6NBmAdA3HVs4l/2t5n3eHzvyNMPKR1aAapvYX8rP8zyuac7qX3jnK13I5G7IirhRf7XsdluGrJBeDYE3/MYYv/GMCTLxPu78tx+zfCJdjH1O2D9F2hX5knwJsW3HZRDit8u0U2VAYMWGHX195IV00HYcYMKfIFO9oWEPyeq7vaoY8Jj+o3zFmiXDHHlHuq39xTh7WfBzXOdYUG7Xn9d3SOas9Si4zKb1bulZSXJX8r11zW1Uj87/Xh5b5rJsYMtbNEzpZnbINx+Rj8k3kJ5R6uLGGL97ZVls11/AVce070oY9++yzxWSYO/YJT3Uc3ieP3i/pBsLP2nFsX32qbKwwqjn6vxqPvnMm55cWENT8z9fnjG3Uryl1cm31cuv2Iq/W7GMa9w/L8NVifB5pk40/Q9mi25uy61Sw6zqq4atlvlHdbE3vdZiGry4m+V6t74PeozYez37Ef8b1JZe3yI7nOdbCoC0s1flq+CIdSvms1j8syca1vTV8AZFCrq5k+NIE0fMwfDFzQJcz6jNDzvOM4dzJGuJHPBMKL41T3znKznhfjyWlJrxKmYpBXrjWPAhTFScq45DzWEZcWrVXez/iMjds/C9tgVULt3Q9BpE1hSSGEVYwYpDUTrL6haK55FobvnT2KuGzLeYmXP6OAvmDRoyVYaygYhZHafB85ZVXHhCn1oGkU8fMasoHRzoiypTzvOqA7/jpM6SJbg2IfHxYOZehPMNFZSoZvkrGagxozLBAJowhJQMcspUMX/l7i8jHDBHkQjnDzAxtXCKOUbYCajZ8xXMcSSO2lCMs/Bzi6KT85Cc/WeStOvCD6/x0SXXmGuHDi4YWhSErUXM9T7kpuVZcSn6XrmXGbE8Rs+qoV5nlmLddoaHP7VgpHVjtQF1CxwEWrATN9QV5PhwrJIOxGpnZRiKuTynfbNkT6RJHVhGHEYM4ouTJdb4ao5glGDLoymjKSlzPZTPiVToyWzznndoKUd7PbXQuBy3zTZ5tjJzkZ+JJusOttFKTemtsGvINr0iTOLKlITP/CYu8Qz3LaoG4z5H8oeUQRtnwpc/TX2LbCfwOpwMH4ogxMvI1R2TI5TYPDsOvocfc+WYyQc0hg7ZvyLjv3x6j/tF0y2lcY5Wva1nmfFfcXMNXnhXbVWe0jnOur7r8zwqtvpXCXX4dhXut8u0m48oOHXlMMmbr5SmyUYdG+6gTSWp+YdjX8l+Tj/ZTn9N6veZ37Tr1rPY38Jdvk+mOJhgE+D6Zhsl5aWeIXE7iHfpaGEFoJ1HO5O2xUL7kVQHUf9k/6jP6ykzmYqKfbm8YYXGs9TFrHPJ1t1WZyPr/oWWe/BVlgGP0r9d9++8/8rb2TUhL8sw2HOOlyEPkx1DaTjF8bbOtoizANk+EDe7aN8/K8Ygv/Xr6mowH0KGUyjscsmsx9gk/dRwecnGcohsIP2vHsX31mmysxGLFA/Ul9VseiyB/3kEDmfK2tjzHilXqHfr9jB3RLyoHzslXU92csU2EyQSePI4l38GAsst99FylMRKK/Oxy/R7xndJewCzejyPGa4ztjLXYpjeP+eO5PLaprfiak29KuqUW4/NgWivbtO+sWGOXGdKA1W4R7zh27VQV/udj9G9ynqddpu4hrGjTW+eb3EZEPKi3GS+jt8m6/ix//q95o9R/0LxaWkSj90MejlPyMnrVPHmV/itjCeoa2kR2XyrpHUttLPoolYlyQX6IHbBop+mXZa6lSSfKSf0k/sgDm1JbkXnr/yNp+KKDTieBmdelghxwUJCry4qVeC4fycwo1nG12SX4RUJS0LBeM8Mg+8N/Ei0cz5eeIfFRvpMZqOiIUylT89wUV5pRTuWUXZ7ZF7JqA9KSB+GzLDnC0SMVARUrlR0NjM5o0ucYNOEoUPDL28TEs9zjFwWPd6h8474eSX8KJQMwKlA6GDXjZ2lLEfWrdk76Ek6sjimlEYYVdciSB6vhf2k1YEvDF9wirDgqS5Vzzjl5LfznSOMdA4Lsb97mD6Z5i4RSB5LVoFl2ynE2uEUdEOFSwYZspB35qeRoLOI5jrmRV5ly54Tyn8t+aVYFYZe2R8uGLwYhKgvh1RS62eAGD3WlQQd+5zD1nSHnKDRUxtoKrcyFNMjpTXiUk6zooCOqriUX9bd2Tv5C3ohnLtv6Xm5LdCDJcxjCwx+ONV6wyYMG2qDsyBPhX9eMwfxe/k/e1TiSXvqNNn2evJRlK3V64BSykaZTXe48xVYS2T/SSRVznGtd0TLfoGhTXsSzxAAZc56gj6BuSBpqvUNYuX4L/zA80lEN7hwZbKgrGb5IT9rK7HK/pxYu72nnGzZzHPlR45DrWvU79yPZzmLTDi60RXN/TMiY4rTPwSBnqttXwxeKC80/2zQo5f5mSelPemVjdqwamJqWQ96jr8l3x+bmW/r3tNVjXat8OzbcrudpTyiHKBMZE+S+CuMXbUe6/NrGPeTVvM15nqClcmh/ihnPU11uP2P8VvKPbz+ojKWtdTJn2gwmUmXHWE7rKfzN+gG2M9XwKEslpeyAIvwAACAASURBVA7K4txu0/bNcbveVu1rmefb5Zrm9PfoA27aZeOWti35Xle5DDkPo63S8SflsORKyvH4PnN+Po+bUZ5m13Lsk/vD5IOpuoEsZ9f/KX11ZCvVa4STvwmHTk0d/fmsYGYFZcnlfJTHP6V3StdajW3oZ2j57PqETNZfMJbIOpqW7UUeI2EkLLXxeTUv8Rlq+FK2Y/NNHu+0Hp+Xyjb6yVKbmXWtXfoPjXPpnPGj5omcxrzTOt/k8kP4LAihbE11qpMo9R80rw4xfM3p+2BTUaaUs1LfnGt5N6qsi4CH9o8Yy9TaVIz0Gm6pP6ic4lnsLzW98JD0OHKGr9I3J3LFH3Dys12GL2ax0RHOhSjP2sNvMmTJ0JAt0fFsLBcu3eeZ0pZxpRkaPFtrsLoSm1UovJt/ueOfZ7rzfK48W/JAZlUyqnxqbOM50iUrSnk+D8JKszB4LjsaKC2cETZpW1Kmk4Y6+IvnOWZln97L5xgJYvVDyESlkJ/jf6njRye49GxJwcysmNKzQ7Z/CNniCBP1a6oRNvyrHXMZzfkgv5dnijG7RF3u3OYOhz7LaiGNY57ZqulP3qm5nFfzSk2VKZev3GB3zbjK4SB7NkJpWNzPeTXHQQ0NPI/CIFzJ8DUlL4V/cZxq+OpS+OZ9t/O2RC25RDy6jgwENG9lo6K+m5WZ1GnhsmG4ZHiPZzkycUDDZdCZ3ZAOdX6n9D/PhmYQ2eVof1S20hYimh/nGL5yu1CqW5GVelRlQpGprmW+0W+nEGbXt0doM1SuvA1fXxrmePXlG/o3uW3WQV3J8JXbteCWFRqljnI8qwMk2uLcH4vnhh61z4B/JZcHhChI5wxoSmGUrlFXa5pOPUfeKQ4eEWbOT2P8U4XyVFnGhDf0WQZGET+OQ7Z/U79Z8arvd7XF+l6Lc/opGnZMkMp+50HoECVp9mPsf1a5q2xzznWlz1A5WuXboeENeU5lyjxY/Tq3Hhsiw9BnsuIIeXNfN/uVlQ9T68fcFtA/qbk85ijN6s3cc/9X/dZvchFnlLzhWD2g40H8ZWJtzeX+ZUlxVXu3dn2X26p9K/P0b3Idm/NELZ3mXs9j+LwF8xTD12G0VVMMX319K+1z5v5+67FP7svP0Q2MyRN9fXX8yrJR/9Zczk+5n5INFH3jstw+3HnnnbWgq9dbjG3ol2v9znlJGa9CnHLKKWt9k6xbVf8o71Pbi5wXc15VmTjPE9ZzXqut+FJ/xuYbnlfXenye8xU6wVo/B/0pvOPXx0vlzuc5f+YwN5FvsuFr7Fgix4H/2qcq9R80rw4xfE3Ny7SF2vehDkZfVXOUQX2eiWjqsq6rNjE73lG2TGzITjmRf8jXOc3zO33/j5ThS7dq0oixIiIKlB7zDImsVI9nUTaXXM0gkWc/x7us/Ao/9Rizy1Hs6XXOu2baakUX700pcFmxHH7lBrAUnhoSWvPIBSTkKll9YVzbDlAHYVnBGX5GGsUxW5rjua4BYJ4NE+9QEauL6/mIIarmtJLT98jzzD5nKW8Udir2/CtZ1OFCA51/vDvWPfbYY2t5d07DVQs7569s1Cy9xzJ95ZU7FLkDWTJqhr+5/OYBSd7agbJYMoCHf7WjypQ7JzrTmzxRm+kdfucBuDZ+KKqVDeH2ubztoBqXsuELWVu4XD/VGkotIzTOXS6v/GRrtXCtuYS/XUfCVPlJF9JOjQld78e9vG0AZbvPaZ4qdbC03p+z4iu3b315F7l1v+ySbK0MX9QtqliCf6ns5q0mqffCtc43mVff1pLUNygO+OV06ktD9vXWuoBtZvpc3j5EDVvZ8FVrswkjb+NEp3nKBJ4+eUv3M+PSbMSsEM39xpK/La5RV2uaTD2fYmyiL6Hh1b7vMySehB9+TZFlSBhTnplr+MqD9S7l0xT5ut7J5bX0nb08UeeCCy7o8rLZvcNUgrfMt82ALBYH2vYoD3Hke8Bj2/qW8uEXCtLS9zeZGa9jqFK4TJiJuHCkLzjFMZGK+pWfGp5KfmUjWZ/hq0vxhv9sEa5x0D4hq8n0XmmCkMpIPtT+RKnvos8POd/ltmqfyjz5TtMu0n2KbmVIuuozlDPt89Je5n7oFMPXYbRVUwxfXZOe4KQ7++S+ROuxj47DyQNzdAOaxn3nfX113s+ydU1oyW1i1ltovcIYlOe7HH3kKBMcmbgx1mmY+DFlbJO/69c1MTDkY1yjsqs+hGd0DD6nvWC8o+H0tWXZOJn1VNswfOU0mTs+z4Yv1RVFeuhR830u2/pc33mf4WsT+UaNM6T7EHZ98VCDTqn/oHm1z/A1Jy9jHNa8XLOHaHwYa+g7ue6kPEQ/rzTmDr+oFzSeQwxfpZX/4d/Q45EyfNU6o3lmWCQIHWd1JcMXSpjagKTmL4MHlsiXfhG2HlmRhit1trhW8odrmiHCvyHGAI1znOeGFP/021C1uGqGrj0zlUdWiEUcdYVDyM+RBhtjmf6yEWeo4SsPdCLsvK2Yhs+5WrrjHdJKXVzXY22FQbyn27foe/kc1nQAS/s4h1+bODL7UWWhom3tcv4aUgEjgyr28+wDzfd9xhL80jKXOyd8Q0wZcM7zdAxZoTm0MVSZ6Ayo0/C7vkkT72SDpHb08mAVwzFlqOuXP8iuK16y4auVog1uynWI4YsBUpfLHclNcumSQ+9lwylxJk/SrmGoywNgfTfOyZPKine60pN7ukUn73JNnXZIs0FFn+s7184heXyIywMIZl6ra2X4ws/8nYi8rSBctH7Peax1eVJeKB/nuL401E42dUytz6My5DZSB3fZ8NVlLCIsrdci/xJnJt9gvM15UuWYc55X2edV7nmm9NB8O0emeBe+THya+6OMjHWstIl04EjbMNUxiA2/5gxop4Zfe2+u4Qt/I14ct5k38mS+PLmKMkX5CfloR3JfuMZl7nUmCM3Ns/E+E5fGuJb5dky4fc9Sv7L1EX1RbUMifTjm/mSfn63uM17KhquQC5mH9Fupp+MdjrUViFNlpv7nOxIYc9l2R9urCLfP8NW3apVvCYVfHLVPmJVpfTsjEE+dxV9SXI1lsctt1T6Uefpv2p/UvED52FQfRPNB3lWnNHFtiuGLMDQ+22irphi+GOd0OeSOeOQy1Xrso2HN1Q10xSnf6+ur87zKBo++vKn969zOqN6Rb+LgV99PZawtOMjx0v8txjYYUiIvcCyVFQ2Tc8bD+k7WGSunOe1FrkeyHKX/5LGQLadR1lfEYgn1R9OkNk7XfMPz6jRNeG6I6xqfZ8OXThIt+a2r8XLZLj1fu5bb6lw2NpFvlF2rCd/axynx0LzaZ/iak5fpB0W+5Egd3Vc/5K2y6bf1OcYsjLfZfYbvhbEyVeNI2EMMX0P0ZH2yHCnDV/5WTkQur/qIRMyzJEuGr64KIK8aCH/HHqnkmOkz9r3S86UCEhy6jjmjht8xWNYthuJeVvy15IGs3/zmN4tMpmx/EnEfavjKlXbEmZlTXU6NLPGOGhB5N67rkfC6XO7s6ru1c9Kna6uQrvDG3qPSynJwraXL35grfduqFJ4aFKhI1WlHAGVLn1OlRe6cUFboBGYO+p8wMHTzfbXSKjzCV5m0c8JsWPVryAxElh3rOzqYR1Gt96acqwzZ8FX7GHof43x/iuGr1ECqvw899NBa3DfJRcPtOseorvmrlB4MTDBs12b4DTWQl/yOaxg31Q3pUOvzpXM6SuE/R2a4D3HZmJzrMx1gzF1lmo3EebvJ3L5lRVvL8pR59XVc+1j2pSFtRaTPUCNbnpiiBuls+Or7IHytrQ+ZqLcZzDEjeIgito9H3M/9mjxbjI+Fhwwc++JBHgilPQrlo+ryFqh9/ZOueO6z4UuVFXlSTReTuff6voWUv3/EQDI7/CBdqecYuFPG6L/SdpYUK/n9Xfw/Jt+yvTH9tbm/3A8cwgXDiSp6oo7Z1krXkJF+T6nPQV74whe+UO2jxvtxzOOTKdtfhV8c6Ruz4oo6XxWzwal0zO0x/hCPeLa2E0uEm781qX1C+ivhD8fcRwo/9MjuIPHO1HG5+je3rWJ8gtKP1bthgKWtpw/F5w76tglTWXbpfEyZL8mNogwlW6SVHqkXdUJP6f1W13L/kX5+yeWyVhsL5He33VZNMXz1TdjVsXwuU63HPjoOn6sbyGnR9b+vr867KtscoxwTCTW/TzkfO5mp1dgmT1TUzy508dU2gbpPnd6b017opKOhfBi/Bv/cp9i04SunSYvxedah9k1ioh8a8c9lW9Oo77zP8LWJfKOGrz7dU5/8cb+l4WtOXq5Nioq0GnKsjSceeOCB5YQvrfO6/CuxVU5D6sLg23U8Uoav2lLKOYYvFB81lzsgXQnWde/0009frtDpemboPQYxUxwNoFb6EV6sitOGNu7lZekteRCHPIswwg1j3JR4DjV88WHCCC+O8OlzfBslno9jViTGdT2iqOhzefCl73ed6wCuL4w59/MAWlcDjvEXhSoVXPxi4JG37Rsyw4dwtUGFkxrkNF8PmamhccydE8Iib3K9Kz3iHh2iiJvyUZloEMIR33iXY96rO57LRy3Xmhfy98/U76Hnus1BNnzV6uMsX9//KYavrq3VCK/L8NWaS1/89D7KF4xbQ/gzUSMr4jWth/hReiaXW+2U1GaSaRxK53krh7yNbukdrtHGqIx5tW9LwxfhqeEaljrR4YwzzliTJbdDLfNN3mp36ECkxrEvDVUp0vd9rwgjKwrZtz9cNnzlPBXP6ZFtSHQAoemez+ns5tV/6tfQ8zyZQidP5TpiSH2rbU1LA93Q+LR6Lht5aXunun02fKEQi7ypbfVUVkPfy4oK8l04yoWWZ+q07KhH+9oK6tau7xhlP3fh/5h8S18o0m7OcahiK/PBuKPtFzKU+pT5vRb/Mdzk778FA8ajYycX5m9O1xQdQ2SnTlbFYcjVd+wzfPXtQJDbM+0ra58cOWqT1jR+2h+Yo8gLP+e0VfRVdHJLiSV1xpCVbCHPrhzHlPksM2MqbZ+Uy0UXXbTW/8vvtvyfv4tCW0L/gfo3/zBIq5woD+OZrtnu226rphi+uuSHd5fhq689U2a1c+2naplvoRsYml/6+ur4M1Y2ZaNtTF7lWuPSdX1s3dZqbKMrapFvqFMdDmNtdcppTnuh/gydkKkTYTSNkG/Thq9NjM+z4atvvKZjp7F5StOwz/C1iXyj41bVialcY8/VoFPioXmsb8XXnLys+bKrHui6l3WB6K1y37fr/bjXZ/gqcRrLneePveGLxrvm8h7jkThjjxjXmB089r3S83MSvqSwp0DlVSMRbp5h0ZIHzHMFFuHOGYwPNXzVjG59s+JKs45y4xrx0CMz3oc4Oiol45r6VTpnULdpp50xZMhbhQ0NPy+fjpVdWQnOd82GOFbcBZNcPlTmITO2tdOUOycqCx1otmLUsEOGfGT1lzqVSZVp2fDFzJU+xwBdw9PBvA7MeYaGlPDG/C6++OKVCLtk+MpbGKyE/L+TrNTeJJcc9pD/dHSZMdynAKLDxTYz4bQzRJqOSUueZXCcFfZcjzw01fCVlUpDDV/krwibo35Hijhr52noACNYlY65jolV4SialW2p7LcsT3lFx4c+9KGSuIOv9aWh1mtDtlAl4NyWahmaYvjCTyYlYADjOwTU1Zr2+RwlCOkyx+Wt0fQbnroDAErBbOjM4bLKQWXM5Sg/v8v/c9qibJvqVLE41UgwNeyu91psdagD3hb1T5e8+Z5y1bDzR8qZSKQuf/uLPMsW6fQ7cpnr24Jb/d2F8zH5lvpKy+vU8zl5OisBh/RB53LGgKL1fcQbA+lUw0eu71lNN8VlBV/IxpE2jLEP33K56aabFllpq+1PhK1tdl+fMPdR1D/tkyPLkHZHy2Eed4R8Y45T2yqMCTqhB/lpz0oTrJBzzvh6THxaPTumzGuYrFDX/BXn9O0Yy2zT5d08Qpaxx6xr0Dhsu62aYvjSiWYqe5yPMXxRX4z55bGPlvkh9bLWqaXxQcSh79jXV+f9sbJpPaiy5TqU/DaGGc8iyxjXamyjhhLkHuLyzkTKgveV05z2Qv3JO2PV5NTxRpYrt4uliSVj8w3Ph8ttX4vxeTZ89ZVtTc857WXWG+e2WsNplW+0bt1Fw9ecvJwNX/R3x9YR+qkD+hd5nBHtHNcpB+wkhS4GA5mOc3K5IP/2GQgjj4852vDVYfjKVvJIPJRzWLeH/qJgasMZftH5HuoPz/V9hLgr8e++++4DHUEyIoOYkCeOKByza80jf0MkwqaxLjmMhzSq+ssrInInOfzM/uWPYMZzxLHLldJQt4Pj3fBLj0MNXxE2SjWs6FQEtUpE/Z+7YiDC7Trmhm7ILKnsH4YareiIQxhYs8JmqGFNG6W87eTYDqSmb6kSzvHhPw0+ygZWDJQMGXS41alM2jmZ8lHZrNzTwXzeWmPOrH7k3xfDV2sumrZTzukoYPxlEoLO5I/yrcvY1fDOsy3ckA51Xzh5K1+22xni8iqraCvj3daGr6yAiBlGdNyCN0fKc3Yt8w11hoY3VwHdl4aqGMv1UY5n/Ef5qDLStobLilCdSRvPDDnSl6LOOu2009YGpRFuTIoY4lftGR2k1tK7NNCkv8HWZKw00HwYss01fDHJBm5zf2oYrzHI1/nWWcSDo37LMT/b91/bc853xeW2MffThsipeQel3DadKgGjrmclj8pUipOmB+Vet+SkflWFPWk/ZH/+HO+5eTbez/72/R+TbxlHkK/n/q699tqlWExEgn38hhgQ6O9qekU69sVz6n3irOGRvvzXfuEUv7OyiYlFUxxtj9Y7GHQZl5YmHObvL5bioHGdo/zJO4CQP/scZS/iwhithdP4DG2rdKcM3td2Gp0B4yj1d+okhyizc49jOY0p8+E3Y+dImzhSL257q9GQJ/c7Q6axxy4lu6bxNtqqbRu+Wo99dBy+r4Yvyr/msblbqkd+7jq2GtvQbqvsQ/rbTz311No7OnEXmbWMzGkvVM8ztO7XflnWLW3a8LWJ8XnWB+6K4WsT+UZ1jPtm+KIcaDnr+1ZbV9nnnrYL+EufF31B6Hnz+8o2lwueteHrhhsys+X/OVsddq34YpCoGSLOMZpMcaUZWHzsdFuO2RBkwohHHPnAcZzHsaRwas0jz0KIsHU7ImWDMjWe0aNuSzHU8FUz4nV95D1vuRAy5IFEXNdjl+ELQx5KRv3lPEZlxOBTO3/qf9dMMGU457w0e6i0lV9XGHnLFDWeMaDSOOVOS8nf/A6VpLpWnVs6DuSZ+Ol2ihoe58yqVQMacdItHlQmNXzxrr7HLO0+l7dHUeUAH3NWnn3bAxIWZTziyFE7M/ti+GrNpS+NuI9RM7iSZ2uOfJW/36Kz/ekYaJr2rVIhHBTjETbKpOz6jCb5+dp/NdBnA3TtHe30cJ6dGhyUQ35uzH+MLMGQgRBlW7kSD21Twu/W+UZ5DTFGnXXWWcv2mzY8b1fYl4b5W1ZariN++agdTnjpLOkxhi9mskf+6zLSUEdi5I204agrtLJ8Q/9rm4niiDpOedXazmwgULk4HzIQ75KRujr7OeX/FGNTrstLW2l0ya73dEA/RRb1q+X5XMMXdYCmB0b6bbo8ICXfqrKduivnQVbJh8zUE7Q7Jaf1qk6sKD2br2GsjjDmHkmjMa5lvh0TLs/mXSLuv//+Xi/yDHQMkZtypLW2KaTNySefvFZvTw07r8xGwTjWkVc1v9C/1X5x9i9PTuzb6nCOIhPjpsqWx19ZNv7r1oJwb+GmtFWqV6hNFtSV7iXlUp/sR6nMax0YacqKeowAh+Va7fhT61cfRlulCk7aopIbqxzXyR65TGkfnXSdO/bRcfi+Gr5IE20TVN9SSq+4xhg1+uxDJnjEe3HUMKeObfI4+N577w3vq8c8LuG/ulaGLyYqRt3Cse/7VrRz+nyugzdt+IKBpkmtHlFWnHeNz8eWbV2Jlct2Drfrf56EQ79Y3SbyjXLYN8NXHofm72Ar2zin7o36gaM6ZUV56zKk5cn+MdlH/VM9xJx8o356xVfHii9A6aA+Ki4UcCjLsmNLMxIm/yIj6aA1/ELRjUItOwYJzCrIfnUZZrIfpf9sIxFh145k1lL88K8lj9oWiwzY84Ceyk2NAiF7ngE11PCFf9oIhn9cK+1/z/M60InnOeYGWe/FeZfh65JLLimmSekDy8hRSoNS54J48F2W/MsVVSmf1K7l7wYweNUZxbX3uM5gWStF2FxxxRWrV7KSgLxPfLsc7wdjjmxvoa5V5zYbmHRWpYYX53kgzazFcCpTNnxRt2h8+r5zpgos3lPDV+YJ+z6eOnsU/9SwmZVOeV/fiN/YY1aI5DQM/7S89ik5urY6bM0l5Os68j0BTdcuhQ/+aMeaeIfjg9jqj6Z3PKNH6nHKUbxTMh6pEWDqVoeEiZItwuHYV89gINbnS2Fr/i7JrnEdep4VanlGtH7LSv1snW8yr7xlmYZNW6n5Pyvh+9Iw55u+1Z/kGw2Pc+IfLg8wu4y5qpirGZnCX47azpP+c50qTCgLuY7TulnD2mfDF4oyTV8GpVOd9kc43xU31/CVlZVDvgHXMu55QJq32ixNELv++utXdWrX7G4tv0PKpMYrTwDQOnzseamvrWHl85b5Nvvd9z9v9U790OcefvjhVXrApmuiZZ9fffevvPLKtbDYUqY2juvzK9/HcKBp29ePzO/zP4/N+rbyzmFu0vCVdz2hj97l8iok2pUWbkpbpZNZa0pq7WuNLe/E6yiVeTWekGfn6kxapCt+UGaG/G6++ea1ssaE03hP+2Aq12G0Vds2fOU+7Nyxj47D99nwlccZeZckzUec560Kp0w+y2FOGdswsUTbnK7+TMQh66dof9Vpn7dPh5An5mt+oy+osvHZiy6XjTWHYfjKaTJ3fL6rhq9N5BvVW+6b4SvzynmzlK/zd9RiEkJeYZr189mv3Ke24auwMqmmaN3Uii8SKc9AjsoOxSRKaQZiOD5AqgrGeI5jKIXyapd4BqMFHe/Y7gEFMxb5uK/HGoOcoWr/s0JY/Y7z0vYp4V9LHvipswAifI6sQgu+KIm1k6XP0RlSlwdX8Wypks8VdzzLQCLSg44mHc+a0as0cyL80WOX4StvsxXvMQs7z8ynYmHWTjwTx5KCEENs3NfjLbfcoshGnesAKvxE2UVnqctxP5cPDLt5AJ33m2X2Rs2xekD9pFOTjXCtOrcMKCO+HPu2cssGOZVLZcqGLzpQGg48oo7JHEor8LRzxvNqOMDfPANK/aSc6SAanpo+2zJ81TqRYzqtuZ7bJBdlWDvPdX9tZm68rx14XfmX40XZ0zSK9+OYv3NQYqtGkz6FT/hbOuZvYLHKqOaoV7OCIn8Lj3c1/7YyfMFLjSuarygjzG6uOZVnbnnK2/F0GR+y4TSvyO5Lw6yA5fmuGdB5dQOTM9Sp4hwO0cfRZ+I89xm6Vn2RNpoeTNSZ6y6//PK1OlXTvqsep85GSaA/fTdPzhkrJ3US7Ob+phqbNC8PnQlciiPhRxyGykIeQJkav646rBTmkGtzDV95Fi6rJkqOvB/x6CoHpXe7rjGmCK4ctVyU+k74hdE+3sEQUnO33nrr6rmxq5AOUwlOfFrl2xqb2vW86oW+Z19dpit4SJfShINW+Yd+QqQ99ZT2OWtxGnpd+6z4PcUxQTDk49i1owNlT+tans99OGTQMjFHkYniJodHX6vmdNU4spEXWrgpbRV1AfUuis2a07ZmiGIr+3NUynwep9GPnusoR1G/cwwl31x/a++jK9ByUtJd5HcPo61SnQzlsOSyjiXrM/I7OibIZar12EfrtMMyfNXGW2Nl03owl+88Bsy74uQ0YAKi5r++ybf5ff63GNswPlF9BDJ1rR5hG1OVm4kf2SmnOe0FTDQs8mptdT16Fe7r8zmNcvktbb3eN8YjrppveF5d6/H52LKtut5ctlXOvvNsRMxjh03km302fGW9H/mUdq7mMGJrXtY6jLTQeyX9ePjL+Dn3j3O54Fmv+NryVodAp5OTKy1NWDrLWij0HucM0tTpTP78LP9ViZDvI0eLwYxWoDkM/pcUkBGH1jzyrIosjzZU+R7scyc0W6/1HfjpyigMjV1pq+/Wzmmwsis922X4yite9H0afjoiFH4qkRqPkoFoE4Yv4sqWeSoj58hFB4ttJqJzSyWIwpWZySW5S7OA6Nhkv0txoxzoQJ93SgNp7QjM7dxqOSc+zFYoOeKsg2jNczyvMuXOCTN0NRzixeyK3LjDWcMIZlk5kJU1PFfqVKHczY1QVjpvyvBFwxvyc2QgXzL2aR7q67TmQdImuZTyQL6W2ZHuNWNxNirkrajyymEUHnmmL/xyxxR+pRn2eZVh6Zkcn9J/8mhuv5A1513e1c4MaV7rIKmSs5Xhi/DzbPLIfzU5Ir4tyxPGP/J6hM2RyQ457+sqjng29wOGpCEz1eJ9jrxTMt7kQSv5Jg/qch7tUvjfeOONa+GSpqX9vuFB/FXGbOCLdBhzxA/1M86pP0tydPmt/YUSu6538z3SkAH03B99qCkuK0RyX2qon1rmOR/i8uSdKd+Z6gtnruHrmmuuWcs3pcEgzCI/xbFU3/XJWrrf9V2YWh+dlSiUX360OTWndcHYVUiU07l5Nt7PdV1NXr3eKt+qn0PPTz/99LX0pq9WaseZlKQfsydvlMZvrfLP448/viYXdfttt9026vfoo49WMWhfs6ScqL4oN/K2NviZlfqUnaz4j3KF4i67MX3CPNbMfcK8Ehi/GU+qQ77cd4m01eemnrdsq0IGGGu7RXs81h2VMs+qwMgvHM8///xRZYAyk43ZfI5C/eQbMpt0Of/nMlIK+zDaqrzqpdRXy2OQ0A2U4sC1LsMX91uOfXQcPlc3UItP6fqQvvpY2bQezPUzdRY6CM3D6HByP4X+aN4SXSddluJSu9ZqbJPHIrQZJZ0b/R5lQFxLu/Lo7tVFyAAAIABJREFUM306hL72Iq96YSyXt26mLsl9XWTLaTTE8DU232TdEumtfXXkmDM+H1u2t2X4Ik+2zjeqk9u3FV/wQieo9QP9hbxakufYAUr7gryTt4XOOo3SJG/0c8o0wsY+kp32t5CrhfNWhz1bHQK5toooEqt2xGiRlSP8zxmn9n6+Xhvsjs0Il1122Vom13DIWH2D0ZY8kD03tipP1zmzVrPLH0Quva/xyysxSs/XrlEgS670fJfhCz/yYL7kR+0ajVlWhOLnpgxf8Msrs7JsVGraycj383fRlOO55557IH/SeeAbNwxkmMWX/aZMZeUsfo7tQGrZzJ0TvsGW44H/bNnCoBkDRa70eZ5GWJ3KlDsnPJcHPvhBXYLCmPhnhYrKlAfz+Je/z8DzdKLgyYoHvhekfnBORzkPUrLxJsdL4zj2nFnnKgPpAEu2mAynad7Xae0zfOFnKy4hX9+R7ek0jpyTx5jli3GYc1VQxLNZsYaRS/Mpz/Gf/MFH2qmXyFfxfhzJvyWXB7Bwhr1uQ1p6r3StpLihLmAJ+wUXXLBc4VuKY2mQgv+bMnzl/BGMhuTplvmGjmSEHUfSkskOdLBL9UkpHYekYf7wM+FFWBi5zzzzzAMDZJ4pbek1xvDFgCvnR+oz6h/aPVYhovDQ8k24vNO1Kq2U/0rXKD/BVo+l1Rel9/Wa5t3ct9PnjsJ5XgXIKvcpTgfTQw1fedLKLhq+VLFRi1crw0WNe67nyb/INcflOro2gWdOGJt8t1W+nSIjBn6tQ+KcNo62CsNYSdHFc9qXibBb5Z+cpiHXmCNKsJJD8a7+sBXbVKfb3oaf9EUxLrDLR24D4hmO1L30bzCahtPn+/qEfYpMlLVZQUy4KMVpq2iPSWeVKc6RrYVr0VYxDmLlJ5N7mMgTMnJk7KHj3xYyb8OPoWU+ry7XuA89zzui5M9D7KLh6zDaqrvvvnstb8GXPhurIcONVY73Gb5ajn10HL5Nw9eQvvpY2bQezHoL0qKks6NPw7PUE6RZ7mvg5xCja6R1PrYY25QMaOQzdCDITXnPuoO4n+Xhv3Ka216U+gL4H7LRH9DwtP7JaTTE8DU231AWsyv1E6aOz8eW7W0avlrnG23399HwRT7JfQXyK5OqmRiHnrC061n+5AL+5N1p8Ad+6HXJA4z9tSzoOeWFvpb2MW34SgrkKNSb3OowwkBJUqvENOHinEyEEabk7rvvvgOW93ivdKRTnWeelfwdeq1UYUe4VK5DXEseDP7GGL9Ih3vuuacqZmlwFfHjmDv+KHxyo6/Pl87ZYpHKteRKz/cZvvAnb59R8idfg0VtxvemDF/IijITheWYMhGylxS3ypH8oB35eK92RDnMjNeSG9uB1HyQOyf4r1vQ1eTR66U9a1WmUueEcPJ+5uqnnpPXVTleMnyxspHGRN/rOodBqcO7ScOXbtGksunsVM1rfZ3WbNjYJJdSvitdYwZ/V6Ov8Y5zVvuUHG2IKuHj+dqRQULNlQZF+FMz7Nf8iet5m7yaTFwnTbsU7psyfCFrVnIhC6sP+1yr8hTh5G86dPHKq//Cj6FpWJqx1RUeaVlyYwxfvN+1ErsWfu3bWyV5uq7RVuUwMLzU2u8uv7TMHXXDF/HXOnWqQm9fDV+a1gzaSq6V4aLkN9dyX5b0woA9xVEOstG+NMNyit/bfKdVvp0qc677ct1S+o+SqORa5Z8xbW5JPq7VDF959vSceo9+utY5NVm4zlhUlWXxLN/PDad+9fUJ+wxf+MmOE7lfEOHmoxpZqCtauBZtVTZUhtzU03kyWwuZt+HH0DJfmsQX8R96PIqGr8Noq8hLJaYoOcONVY73Gb7wt9XYR8fh2zR8Demrj5VN68GS3gJubNVcSq/atSE6q0jn2rHF2IbdaPJEqZrMXKfNoF0tOeXUor3gMyXqZ00udCraluU0GmL4GptvarqlMX0F4lYbn48t2xr/Oe1l31aHke4t881xMHxhr8jjjVp+5joTlkoTU9m1SnWSXX5gWMv5iOd1XHKkDF95lkxEvmtLnMiwHLUhj3dLW3TxLKtd4hk9UimpKymtmUE21LFsVRNBw9JzKpZsXMlhkDl4rq/SpIIsrebJ/o39X7LeEoe8uqDL35Y8CIcBZR8PClTN0BOyYgjlmyRqxND0KaXNM888s5xxqM+VzsmXdLy6XOk9tlAY4uh0D1GOw4mBYd7iTMMofY8L2UpLT/W9MedsizbUSMXsgJoxuBQmxooSS72GYalU+YZ/qjgf8i0LZV9S/KP0Lm31qDJxTt6jo8lANjuVifxccyipu8oDxiwGH7oEXg1F2V+WJNfKBDITFivKalvd5a2jdFZGDmvsf5R5pcZS46Ms+pS0+ftn6k+WbS6X7F/Xf9iW2qGcf2BRmiGufjOzt6/skTf6yjt5NG/hhDyl/K/hd51T95TacI0ng5mu72nhv3aW6ZS1dBjuVZ6x8W2ZbzDyMFBRefQcZdwdd9xRjf6YNKQcd60aJVzqia7JJXlrhCHKePKEGkk0fnrOajcGLS1dDpfvAUxxmqfnKICnhL2Jd2g/g/0Q5U9JBlUUcz7EaZtF+F15bYh/pWdIn4gbx5rRuPRuXmHA7PaSy9v0Ek6pzS+9O+Ra3tppyipcwqEtyfUL/aGu/uMQ+Q7rmRb5do7sGEgoL5q/SucoMLvqslb5J2/HVpKl71rte4faXx3Sh+7jipKvS5HJPZR8OFZ3ab+PONQMX319wrwdZK1PiNJU+x2ZG0owJhXqigZV9vfFv+/+3LYKHUtmFnGgDoD/UXRDynxttWXEf8gx95c//vGPr5XzCy+8cKP40BWonKUtdlWAw2yrSsYULQtZSc34ucvpp0DUn/xOi7HP2HqtTzeQZaz9H9JXHyubjuu7xjHozrrqXvIdE7Bb1hFzxzZwRF+KrlbLRem867um+KP1Yqv2gvZd+8BZLhZBMGlY65GcRjDS91iZld3YfNOlW2oxPh9btrX+7irbOd75P7vjKKuu/narfKNtMjujtHDat8f/7DSvlibe6f1WeZkJJvk7o8qac8bAlLOuuhx9elcfirqUtgNdPPr6rPtTw1cfp8xtyP+NbXU4JPCj+gwGHwaSFHyUz1RoKIFRtnYVwlJ86WRTCbE3NUpnMjirqbhWm7VQ8ucwr7XkQUVFRw6eGHbI9Kx+YZAxVtGEUYA0YRCFYoVZ56wE6XIYGVGKkQYoSvihICX8Icq9Lr+H3qPyYb99DD/kCRpJfmypxwoQZmBQWeySoyPKx9jJxxi9STfyMttk3XnnnZ3Gqa54kB4MMilrMMB4xl7/fCibMA/LUbGj/CV/UMFjOCDOGLMZOLUyVqMYIf/SGPH9G478H7IypcSGMkHdQueB9KERZ7UVs3p3ob7B8E5ZY+urKfVpKc5Drm2bC7NyafjJ0zTydApZlUXeJv7UAUMdig46ynR+yIPUGXRMdEugIX5hlKNuIXze7TIoD/GPtpD6lnqMckIcyb9MSNlWXTpEzjnPtM431CsYuKg3UXJTlzAoGpofhqYhHU6Ut8zqpJ2l/uLI9sHkzaHhjWVHnqD+IW5M6mGQTb6gD0XbNjbPjg1/7vP7ZviCtw5sqHO35chjETZ9vl1y+q05BmWlyVIqb3xYncHoLjkmFqgSLXjTVowdq+xSvA4z3wYH+NFPp45moh1tOf0p+oBsH1laNR/v5uOu5h/a6cgzHEsKuRyXIf9hRz+DsRV9Fgx3bHtbqn8YX8KTSYG0ja361n1yYijDOEa/jB/ntZ0l+vw6jPswZqIhfX1tt1CSdymtDkPWIWEedplndjplgHy6S+6w2yrGjRhKGOczKXibkylajX0OIz2H9tVby0a/i3aLMT/GJPIP/W/qiaELE6bINHdsQ5hM2iOf8bkWxg3Iz/iS/HeYdRp1LWNdJmUwgQSetFljdZZDuLbKNyHzPo/Pg+eu5puQb9eO1OFM9mOcTv3AdofobpjsO0Y3QJtNvRK6dPxDF5/9QNfEdfp46CTGLJCYws6GrynU/I4JmIAJmIAJmIAJmMCxIaAKxE0Mag8DpK7+ZyLXtpxuR8s2sLviUOTpbMq8AqAkJ98sRSnaNcu29N4mr6Go13ggH99R6tsxYZMytfT7sPJtyziEX7uYf5BNt8ZkVnufATji4+NuEWBVgtYFQ+q03YrB/0pzWGWeCbmxqmaXvom4L23VLuY1y2QCJmACJrB/BGz42r80dYxMwARMwARMwARMwAQaEthHwxerazGK8EM5uo2V1IQR222yFcwuOVbdBo8hyn6UyqEUxVCwC05XARAXtlJhhc0+ucPIt5vgt4v5h3gyg16392rxzZdN8DvOfrJqm50n+PWtMNSth5h5fRTdYZR5VkbwPaBoH6futrEJ3vvQVm2Ci/00ARMwARMwgRIBG75KVHzNBEzABEzABEzABEzABP6PwD4avogaW06GsWcbxpv4xheGNrYt3hXHzH5V9vd9e0y/0YRxie18DtuxtUikJUe+ScqWrPvotp1vWzPcxfwTcdR8xEobu90joGl0wQUXdAqo34FjO86j6rZd5tkCOurTvm8IbZPpPrRV2+TlsEzABEzABEzAhi/nARMwARMwARMwARMwARPoILCvhi++GxBbYXHc9Hd0+MA6Bib2gN8lx7ddQ8nJCok+x1ZTPI8hbxe2viTdQn6ON910U18UjvT9befb1rB2Lf9E/FjlonVd6dtb8ayPh0cAw3yU9z7jZHyjiuf5Ts5Rddsu83yzGmZ8v3qX3FFvq3aJpWUxARMwARM4HgRs+Doe6exYmoAJmIAJmIAJmIAJTCSgyuBdMHRMjEbxteuuu26lRN30qi9WRuUPHBeF2uJFVfZj/EPBOsQ99dRTQx7byjMotEMRzgelj4PbZr7dBM9dyj8RP5T8kY9Q/NvtJgHaoEgnjrXtTPmmlz739NNP72aEBkq1zTLP9yd3aXtDEO1DWzUwqf2YCZiACZiACTQjYMNXM5T2yARMwARMwARMwARMYB8J7LPh6z//+c/ita997VJBiuGHrZSOk+M7OaEc3qUtrcakgW7LxSq0008/vfd3lLc9g81xz7dj8sfQZ9m2k7LAqkxWpdntLoHzzz9/VW+RZpdeeuni/vvvXzzxxBOLBx54YHH22Wev3Wfr06PujnuZ34e26qjnQctvAiZgAiZw9AjY8HX00swSm4AJmIAJmIAJmIAJbJHAPhu+wPj8888vHnvsscXjjz++Raq7ERQKfuLOjxn1R9Gx3VkY74Ye2QLtqLvjnG83kXYYTSgHf/zjHzfhvf1sSODZZ59d25ayq9yzxew//vGPhqEfnlfHuczvQ1t1eDnHIZuACZiACRxXAjZ8HdeUd7xNwARMwARMwARMwAQGETjhhBNWhgW2QLIzgV0hwCqI+E5bl/I733vTm960K1GwHCZgAhMI8G2/d7/73au2KZdx6oUrrrji2K3inYDSr5iACZiACZiACewpARu+9jRhHS0TMAETMAETMAETMAETMAETMAETMIH9JcBKPb7zddVVVy23PPzqV7+63PaQ1VF2JmACJmACJmACJnCcCdjwdZxT33E3ARMwARMwARMwARMwARMwARMwARMwARMwARMwARMwARMwgT0iYMPXHiWmo2ICJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACx5mADV/HOfUddxMwARMwARMwARMwARMwARMwARMwARMwARMwARMwARMwARPYIwI2fO1RYjoqJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJnCcCdjwdZxT33E3ARMwARMwARMwARMwARMwARMwARMwARMwARMwARMwARMwgT0iYMPXHiWmo2ICJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACx5mADV/HOfUddxMwARMwARMwARMwARMwARMwARMwARMwARMwARMwARMwARPYIwI2fO1RYjoqJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJnCcCdjwdZxT33E3ARMwARMwARMwARMwARMwARMwARMwARMwARMwARMwARMwgT0iYMPXHiWmo2ICJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACx5mADV/HOfUddxMwARMwARMwARMwARMwARMwARMwARMwARMwARMwARMwARPYIwI2fO1RYjoqJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJnCcCdjwdZxT33E3ARMwARMwARMwARMwARMwARMwARMwARMwARMwARMwARMwgT0iYMPXHiWmo2ICJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACx5mADV/HOfUddxMwARMwARMwARMwARMwARMwARMwARMwARMwARMwARMwARPYIwI2fO1RYjoqJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJnCcCdjwdZxT33E3ARMwARMwARMwARMwARMwARMwARMwARMwARMwARMwARMwgT0iYMPXHiWmo2ICJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACx5mADV/HOfUddxMwARMwARMwARMwARMwARMwARMwARMwARMwARMwARMwARPYIwI2fO1RYjoqJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJnCcCWzd8HX33Xcv3v/+9y9/F1100XFmf2hxf+KJJ1ZpQFo8//zzhyaLA94fAjfccMPiwgsvXP7uvPPO/YmYY7ITBF544YXFZZddtnjHO96xeOUrX7k44YQTFhdffPFOyGYhTGDfCFxzzTWr+vz222/ft+g5PgMJfPnLX171Fz//+c8PfGs7j+2ybNsh4FBMwARMwARMwARMwARMwARMwAS6CGzd8HXppZcuXvSiFy1/L33pS7tk870NEbjvvvtWaUBa/O53v9tQSPb2OBF47Wtfu8pXGFTtTKAVAYz1L3/5y1f5K9oQ57NWhO2PCawTwLAc5ey9733v+k3/OzYE3vKWt6zywWte85qdivcuy7ZToCyMCZiACZiACZiACZiACZiACRxTAjZ8HcOEt+HrGCb6FqJsw9cWIG8oiL/85S/LVVSveMUrFvxuvfXWDYU0zduzzjprpXwNZTxHG76m8fRbJtBHwIavPkLH4/5hGZdOO+20ZVtEe/TRj360CPuwZCsKky7+4Ac/WMlPHH7729+mJ/zXBEzABEzABEzABEzABEzABExg0wRs+No04R3034avHUyUPRDJhq+jm4h/+tOf1gxLV1111U5Fhq0N1eB19tlnL66//vrFT3/6052S08KYwL4QsOFrX1JyXjwOy7ikK3zf9ra3FSNxWLIVhUkXv/nNb661WQ8//HB6wn9NwARMwARMwARMwARMwARMwAQ2TcCGr00T3kH/bfjawUTZA5Fs+Dq6ibjrhq8Xv/jFKyUi+czOBExgswRs+Nos36Pi+2EZl2z4Oio5xHKagAmYgAmYgAmYgAmYgAmYwO4SsOFrd9NmY5LZ8LUxtMfaYxu+jm7y77rh63/+539Whq93v/vdRxe0JTeBI0LAhq8jklAbFtOGr2mAveJrGje/ZQImYAImYAImYAImYAImYAItCWzU8PWvf/3rgKyXXnrpSoH50pe+9MD9rgt//etfF88991zXI6PuPfPMM4snnnhi1Du1h1vLBrs//OEPteAGXy+lwRzD1wsvvLB4/vnnF//5z38Gy9D34LPPPruA3xyHH2x79thjjy1KcR7jN3mMeG7DIfcjjzyyZDo3POL95z//eXb8Q46xeXpThi/y2lNPPbV49NFHF//4xz9CvI0eyePkpZb1TZfAf/vb3xa//OUvl/Hsem7ovbF5eFuGr9///vfLckp4Y5wavjb9Xa+nn356dhmC/89+9rNm7UuwaiFb+LXtY+u2g/Z7SD6izqCOpf6Y2zYMYUYYv/nNb5a/f//730NeqT5D/4R2jXIztc1FHvzhNyb+Uw1fpMvjjz++oE5r4WBI/Lv6CIfRRvTFbRdlQmZ4/upXv1r8/Oc/X/YX+uLRZ/j64x//uMxbU/NnLfwWK75ayDa1/NjwVUtZXzcBEzABEzABEzABEzABEzCB7RFoavhCsfLZz3528fa3v33xkpe8ZGngQmGJQvyrX/3qUukyxvCF8vmSSy5ZvPWtb135x3de8PPNb37z4tZbb10O4mu4vvSlLy3e8573LH9f/OIXl4+hRDr11FNXxjf8YxutN77xjYuvf/3rNa8OXJ8r22WXXbZ405vetPxdffXVS/9RtH/sYx9bvP71r1/GMeJ68sknLz75yU92Kn5CQJRD11133TLOL3vZy1ZpwMe1YYmicIzhCyXJl7/85cU73/nOhSoikO3Vr371gm8B/eUvf4ngDxzJExFP0ozw8fNrX/va0k9VruE/6fW9733vgD+lC3wz4R3veMdC/UAufviF3EMUfSiBPvKRjyxOOumkFXf8IF+8733vW/z4xz8uBT/52o9+9KPFG97whrWwCI8yQz4k3w51d9111wJDAGkRcecIk0984hOjPqg+N08PNXxhECAvRL7g+OCDD65FOfJI/rYTcSNfU8fw8fhWjnzyjW98Y63sKU/KD2UWw0Mr97vf/W7xrne9a61uI0zqt9e97nXLumCoAXZqHqZehj91jsaX/BPpQ30x1aEMvfbaa5f5WrcrJCzyO2FQHkqOeiDqb5WNCRNx/eabby69Wr12++23r+J1xhlnLJ+j/rriiiuW7YzK+JrXvGZxzjnnLJXEVQ/lxt1337045ZRTDtRHkZ7UR11uk7J1hcs96opI7zFH+NTc3LaDfBGy0GbjaN/OPffcZd0cZaUUPoaX9773vQvKreYdzl/1qlctPv7xjzed3IBcF1544YG0j/DIr5T3Ie5b3/rWMt6aFyMOlFPyWZ/77W9/u/jQhz60oKzEu3HEX/Ip5avLWKHtKixrjnbj85//fJF15H3a+y5DGG1epDX9FBy86PuF3Bhg1G27jdCwa+dzZdJyeMEFF9SCWV6Hu7ajP/zhD6vP075dfvnly3aFNAmmHPlP/442pORKhi/aBL67lf2hr/qpT31q8fe//73kVe81+ueRD7LfcV37R5uSbU75Of/885dxyHUP7QlxIM1IOzsTMAETMAETMAETMAETMAETMIHNE2hm+EJxXVLU6OCVQSoGnLjWteKLAbAqXuKdfGQwWRuw68CcAedNN920Cjv7E/9RRHfNLCZJWsimA3a27kIpGjLUjijDuxThzG7NBpDsF0wzh5pCDv9QZGQ/8n8U2HfccUcxt2Lk0OcfeOCBpSFUr5XOv/3tbxf9i4vXX3/9mr8lP7iGkYR41BzGztq7eh3F5VxlBUqx008/fVB4GHa6wkOR9eEPf3iQXyj1uxScsGmRp4cYvn7yk58cMPhhuFP5MC6VDF6aHnF+8cUXdxq/a+mu1zE4D6lrIszvfOc7+vqkcxTF4V/XEeUZK8G63Jw8fN555/XKceONN3YFX73H6kOt57riefbZZx+odzE0dr3DvbGrv5Q77Q/1UUzSqIVFu/brX/+6Gk/KIgrr2vt6HeM6RpmS24RspXBK12hbVM6h50wwKLkWbUfO19QLMZkj5ENpnx0rLbJyP57XI2W+hfH8nnvu6e37EC4yddUd//znPxeUA5Wxdk77oHWmMsAAV3svXyc/1gxSWifWDF/EZwhrwqWcsRKu5JhgErIx+ePee+894C91SbhttxERbtexhUzahtK37XJPPvnkihnsMC6WHDsHDC3f1EHZaR2OTExui7SqHUnDKauzb7vttl6/ySvhNiHb3PIzpO/CCkY7EzABEzABEzABEzABEzABEzCBzRNoYvhipnptANx1vWb4YhVC13v5HorJkkJFDV/5na7/GI8wUpRcK9l0wN4lS76HIarkxirv1d+S4QtDSJ8hU/3gvGSsyoav/E7X/9oMZmayd72X78GslJ5nnnnmKH9QSk2dyUya1RQqNc4oUFCqZ4dBAQVUjmfXf2Yh11yrPK1Ku5JBAuN4VpJ+8IMfXFPgEt+8+oh48V5+N+KLsniqQ+lbM3zU0oVw56wCpJyE7HqshUe8S2WUOM/Nw5syfCFvjavGWc+pdzW/b9rwRdi1PKVycU5cSgZ05MV4kJ/v+k+YKK2zU8MX78+VLfvf9X+oYjzHq2T4atV2ZMNXSaEMI3W1OjbLrf9Rtk91GDFL6VQry4TLSvXsyEdj6/RYGaV+sXpc4xbnyFiSk/tqUFK/+gxfbJUX/udjLf70+djeNzs1fBFuSdaQc9ttRJa19L+VTNqGtjB8YbCvpUVOs/ifjcFT+6r0v8e6OYavkH/IsSZbi/JTqqeyTDZ8jc0Zft4ETMAETMAETMAETMAETMAEphGYbfhim6ispGBWNiuYMHrcf//9C93eUAeAJcNXnsXK82xzhBEEhQnKFrY64V31C4VBdjXDF8piZiqjyMRoV5pljTEgu5ay1ZQJxIMZ5BjyOLIaTOPJeWkFSFa+kiZsbcPMabYEJD0ys/A3K9UxEuXBOytPYMbsYWRjFUjJQJFXKXUZvpg5jGzEB95ZQcM2htk99NBDB3hgZGHbJoxSfF+EuOY8mdOT7aQi/nFkNSL5i3xGfkOxGPfiyMqOKQ7G4QdHFMa6hRyrDL/73e8eWHmU5SZsthdTv4grcUbJRfxJJ1UkxrOlLbJa5mlV2mXDF/VATpOSMe6GG25YixsrG9h2KBxbZV5zzTUH/OpakRPvlo5swxd8OKJ0Je1jtjqrKlgVlFc+dm3xVgpHr6lCGSZs14fiFMeRMsFWmCoX9UB2LfIwqxRYhUfe0/CIH9f5dW1lmmWK/5Rd9Y82gbo2tjr9xS9+sSgpGa+88srwYvlEgNjCAAAgAElEQVRsyKB+sS1XXOfbb2NcNi6Fvxi22OqS1cMYbj7zmc+syc9zusVWhMm2suFHHFmNGnUqW72ywjavVGILt+xay5b97/pPXiL8rh9bQ0Yc45jLQcu2Ixu+IkyOGElZhcSWheH4hpc+wzn3KU+UK+p18iBbjelzpP2UPE64uZ5lm7doA6k7SH+M+xoe5T/Ke8jOlsH6DPUCq1nJ5zxLfiqt8NUJPzyXjc0f/ehH174Vyrfn2PZZw+Kccpmd1lOlFV95y2hW+VB+YpIJ8mDkV38Ii7yWXeYY8sGBfsYHPvCBxVe+8pXla9tuI7Kspf+tZNI2tIXhi/YzWHKkHqL9JN+wwpCywW4I+kzul9f6qqyCp39Jn5BJLblfgp+11a0lhlyjHxR1u+blE088cXVdjUYtZWtVfuiLEAfKr3KlL8d12pfaas0aF183ARMwARMwARMwARMwARMwAROYRmC24Qvjig7uUH6E4kdFwqCQDRt5gM3zbDWo/qEQKjkUStmQk7c8LBm+2Pat5D73uc+thcugO2952FK20oAdQ1AojUJGBshZiYzCWB2KeWWGogklYHYot1SxEu+Ekjaez9sIEn4YAuIZjlzLShMUwepKhi++sVIyVOQZ5Ci9shtqgMD4E/HjyBaD4VD4ZGVcbQUPBjX1h3yR0yj87TqiVFd/HnnkkeLjpJE+d9ppp609h5FQ72NAqyn/s+KlZEhsmac1b6nhi2/1kJYqN9+yKzkUnPEc9QXKqJLL6VsySpTey9fgG+FxZDVdyZHX1XiB4n2Ko47S8HJZVj/V+AwLda3zcM53tXpXZaido9jTOJJHMbCVHMZYfZZ8Qt2eneafqcZn/CwZlzCkldos8pTKhhJZHe2DtmnIqMZsfRYDc26vsgGgpWwadotzjEa5zmSyRS6fLduOkuELhvl7gBG/3KbWyhZlh36Kpm024IWfXUfaZk3/nD/03bxKWSevYHRTf5Ar543wK/uj7W1uGzB61Rzb4mn8S1sVa3qXDF8qM/VhTZmP8UPDKslVMnxh/C/VG9tuI2oM9XormbQNnWv4YrKJcqd+qhmitK3hHe2f5XLFfSZKlByTWTRMJpZMdbQb4VdthVZL2VqXH7ZcDfk5YmS0MwETMAETMAETMAETMAETMAET2C6BWYYvtglT5QcD65rimGixKkUHgtnwlRWmzMzucgwk1b+sTM+GL7ZzqhktUNrkQTTGinCtZcthlVZ0RNjf//731+Kps9x5Jvt11113xasHjlnxDj81fPENMU1TDD1ds+ExCOjzWVlTMnypUiULqIofZENJGY6VOJrehJUVr/Es6ayKO+IRLiuYMTh2ubwy5c477+x6vHiPNFPZuxigiI9n89aWOa1rSuAQIs/4ZsZ/uNZ5WtMuDF85zYgX25HVHDO7I+7kq5oj3dWQUNr2q/auXscIG+HVlGvxvCpnNT/F/SHHbLBTxXV+Xw0v1K2a11vn4ZaGr7xajXzW5fIKFFZbZUf8I51aGr6oI5SrhssK0giTI3lTXV7J3FePsMpN/ctlO6fpHNlUzrnn8MkTDpAtt/Wt246S4UvbKo0XBkdl29d3QFbKsL5T6xtoOHpOu6jvlyYWxPN5NRr1YrhPf/rTa/6wsqvmiL+GSVsRLtctXYp2jMvqT6ymCr84avuZDV857n2GcvWLyRbZad2KXBg9auVy221ElrX0v5VM2obmvlQON6/Wzt/4yivyWe1Yc7ms0VcPl/scpFXN0a/RfDWnrp5i+JojW+vyY8NXLZf4ugmYgAmYgAmYgAmYgAmYgAlsj8AswxezhHWQmw1PORooMlRZnQ1feXupPoUp/jPTOGTI/mXDFzNguxxbC4ZfHFFshmstW1YmlFY5RNhsyahysVVjOFYd6L0+ZQnvqWGFd1WZmGcJsxKuz11wwQVrMmhcsuErK9Cy32edddaaX2yjEy5/84ctxLocyjxW6cQvDHiqxM0GhZJ/rAZRxn1xKPnBFm7qB+lUW6lVep9rKGbVD/JQn8tb2LElU7jWeVqVdhi+cnlCdlahdTm2gNM44g9K6k05th6CET/dUjGHh5FflZtTDV95VSPGvdpqwyyD/m+dh1sZvphAoOmHYbHPsZpI3ylNAtiU4UvLQ0lOVb5Sj6jTNEB+GPY5NbTm9iobvubI1ifHmPt5CzPSQlcshV+t246sjC+tFIqwc9vQpeSPd/LWgdoOxjNdR+pjzZfkAQwGYw1oOR/pVm6l8KkTo01TYz2TGqIuY6Vyl8tK/rGGL/wmjAivtGIywic+ymmI4au0Ai3823YbEeF2HVvJpG1oX1+uy/CV62EMj12Ovjl96chX7OQQLvdVuybt4I/W5dpXDf+GHrXu1Xyu77eUrXX5seFLU8rnJmACJmACJmACJmACJmACJnA4BGYZvvJKmL7VJ0RRjS5Z8Ze/Z4XCm4F010+3mGHAzbPhsuFL78UzeuT7SDpo5xsG4VrLpgP2IUp0VRypYjivIqht5Rjx4JhX3qnCj+8QKAOMF138uZe38WOFWrhs+NKZxPGMHvPqD5UtzwrPKw7Un65z8l3EkVnRffHjviphUE6NddngEeGzVSRKR/1WS81vDDPxHkdWTvXJnvM03zEL1zpPq9JOGYfMbKfU57KBkHfJ+xgb2f5riHGhL4wh9wkHwzthspJHVywg05AyWwqnpCzHP9gQDmGSpn1O+bbIw60MX3klyRDDOXHVCQwlha/Wf3NWEWTj0mOPPdaJ+pRTTlmVudxeaZ4YYoQmIIw3UR44YlAN11I2JqGw8q7rl7cGDjn0WPqGWc0o0brtyIYvjCw1p20DeWWI8SlP3OkzFpXCzgaPqBvgT9s5xGiv+WhIHVmSo+sa9QntC+0yW1Eqq8iLUwxfpTDhjqGLFXh8B5SyqmWX8IYYvrq47UobofFvJZO2oaV6UMPsMnzle+edd56+Oupc+6qkX1/7pOmtfdVRgS4Wa32uoYavTcg2tfzY8DU2xf28CZiACZiACZiACZiACZiACbQnMMvwde65564p8VCy9znd8i0rEhnohyJm6lFlUMPXUIWSDtrZGjFca9lUmfCKV7wigqkedTtBVSbw8Xhlpdsz1jzL361S4xIKO/VvyrnKkA1fyNvlsqJVZdOte6YaHlA0T4mTvpNXfnTFR++hfFJ/8jlxCgNP6ZtqOd3y+0P+xxaEyNU6T6vSriZL30oMVjD2+UN54VsifDus9l0Z5T7kHIMN38/BAKN1QC0eU/MfsmSFWA6D8Km7KAslQ98m8nArw9cPfvCDtTzeV94jbdSAQPyz0zRpafhitVmX0+8ranuFMlTTjbZwiMsKct2OLhu+psqGHFpXqpx6TvnpcqVtSru2c2zddmTDV9fkANrqiNvQtj5PRujbrq/EipVv2jaHDHokLVhdW1opk/ORbl1YCm/INerEm2++eVmHqIFcZcrncwxffGOUPolODsn+6/8+w1df3XpYbUQX+1Yyads3x/CVy27fhKOuuGlftS9t8Efrau2rdoVRuqf5aYjhq5VsrcpPbue1ri/F19dMwARMwARMwARMwARMwARMwATaE5hl+NIBMYqNIUpoXdGjikSipgNmVZSMOddt9tTwddJJJw2ipysP1CDVWjZlR5h9TpVrqkxgRYXyufvuu/u8WjzyyCNr76hxSVc4qL9jznWLrmz46pq1j+Bdhi8UGyHHUOVmhpHjHv6NOeZ8m8Po+s8WQkPyEs+gCFenZWeMvPqsbtM4RA59t3Su5U2VdqVnuUYaxpaTGjc9R4lIHq/5odcxQk5ZqRHhIUtehaP+186HKNkijNIRA6Cu9KiFw3VWaOjKoE3k4VaGr7yadMh2tfBRAxNxzit2NK+2NHwp11I6qVxa7vO3bLoMQupvrt/0W0/Z8DVVNsKba/hidam2OaSJtjsapzhv3XZkw5fWNRFmHLVt6Pu+V7yTv3fJt7amOPwZwhuGrMBTA97jjz++Vs8NNaDW5MTwTNtIWGN+UwxfxCN/Q3JImH2GLy1ntXhus42oyZCvt5BJ29A+wxf9NuWt3/giPfXe0AkIOU78H9tX1bq6r84ohRfXxhq+hvSj+2RrWX5s+IqU9NEETMAETMAETMAETMAETMAEDo9AU8NX3zYjRJPvZsWAPCs4dFDKMwx8x/wwVOkKCTV86eqtLtwo0kM+VTy0lk2VCRpOTTZVQqoyIRu+GLj3ObYhijhy7DJ8wWNMGvCsGrey4evOO+/sFC8rhlU2ZdDS8DU2fqTdHIeCjG3BTj311F4jmCrUs+GLPDlWdv3GVus8rUq7yF+kp34bi+t8x22IQ9FN/sZoHf7Vjn2rV0rhYajXcqh+k9eID0paZGBVwxlnnLGSI9ddJf/7rmHcwQDGd1DwT8PP56yIivq1ZPgamw9yHm5l+Mrll2+oDXGaxiW2mldbGr7+/ve/d4pXM3xlo4mW0y4PKX+atlq/ZcPXVNkIn7zalyfIRyWHMZi2VOWkDJdWoer72fA1t+0YY/jStoHtY4e4vCqGOnmOo61jRXuf4QmDN9/txLFiTDmz6nSqy22t+ktewCDId834NmauQ0pxV8O8TphAPrYZrtVZXMfAx+pi6gMMZNqv0v5LxFW3XyyV/3guHzfdRuTwhvyfI5O2oX39woceemgt76jh60tf+tLaPb7pNtVpG9knE2FoXV1K66FykGcjDw9Z8TVXttblx4avoSnt50zABEzABEzABEzABEzABExgcwRmGb7y1m1dM7IjCihDYjCbFRwMXOPe3BUVhKeGLwbjQ1yEz1FnjreWbawyQRV7qky47bbbVsyQWVdb1eJ7yy23rL2jyte8XVXfN3BqYcT1rEyYY/hSAwo8pri8TVyLraWmyBHvYPxAgYXSG2Wh5r84j2+Z5a0O52xfRPit87Qq7ZA9Zpnn79Bxb6yhCiMARl2MHiXFsq7ODLZ9x6yYQi62JKvVY1OVs31yxH3KIQro0047bU15GPkgeG4iD7cyfPEdoZCXI99IG+JUyV5anavK1F0wfP3zn/9ci+cHP/jBIdFcM57CJ4yZvNzS8DVImMJD1EfaNiEj7bRuIVx4bXmpddsxxvCldc/QugADkOZVXX1Xi+PQ69TZlFe+Qaqr0SK8c845Z+kV9Vpc48hkiKmuZKxkBXjJYMl3uDTcsYavs88+e+194kh6Pffcc0XxtXxr/yUeblG3bqKNCPmmHsfKpPm4z5BD2moaquEr9xWuvfbaqVFYqw/6ZCIQratLaT1UkG0bvlqXn9y/8FaHQ1Pez5mACZiACZiACZiACZiACZhAOwKzDF8MpnXg3ff9HsTWb3FkwxeDZPWPlTF9jpnTbDvFD2WOOjV84e8f/vAHvX3gHMWzhn/ZZZetnmktmyoXhygTaoavRx99dE1mZnT3uU996lNr76jhCwWYMrjjjjv6vFuQTpEGHNW1NHzlNOj7Bg6KOBRy/MhrkZ84jzgO2R6H+GAMiTiGIUrj2XfOllbxfshReuepp55aKyPIGVv5sf1YyM2RLfr6HIr1CJcjirhwmWeXXPFOV3lTpR2KTHV5O0FWAGSFLMYElTVvd6f+Pfjggwe2YnvhhRf0kd5zXcEFT/02Xell3QaVPDXFUQdFHGPVR8kf4oJyXNOb1SThWufhVoYvyonKrCsMQ/Z8zO/kvMPzqkzdBcMXMmkalIx1OZ78VwMA5+p2wfCVjVekJYb5Ia512zHG8PWe97xnLd9pPVeTXY0txPPJJ5+sPVq8/vzzz6/Kcs1YzovUYxgltFwwiSOc5qMhRjtWzEa7FpNzcvl91ateteiqD+mrqTxjtzrUfEzZ7JogAycNa85Wh9tuIyKNuo4tZdI2tG9Vu+6eAF81fOW+bBhaa/Fg9TN5JvLVJZdcsnp0bF9V62r6GFPdNg1fmyg/NnxNTXm/ZwImYAImYAImYAImYAImYALtCMwyfN11111rCg0GyF0ur/xA4aOO1RaqICnNQtbnUTio0kiVSTyXDV99273kFWwo18O1lm2sMqFm+MJ4oMx4LhsUIg4cYaZ+8a4avu6///41/4YoLlg1pTKoAaWl4SunwZVXXqlRO3D+xje+cSWXKplPPvnk1XXk1m+uHPCksB2VGiBKz+drGJ+UT9+3ZLIx8+qrr156iQJV/SFOumIkh8v//M2lMKJxL/OcW95UacfKTnXkCS2rxCNzZEWXxq9vBUY2vFO/jHFqyCLcLpYYWVW2qYYv/RYQ531Oyyrf0wnXOg9nxd9VV10VQY065jxKmndxxfMrrrhijW0pbFWm7orhK6cBBs0uR3uieShv33XYhq9saELWoSv2iHfrtiPL02VcynVZ32pY2kHNU5x3GdpL6XrRRRetpWeXoYn3Wc0V6U944XI++vnPfx63Dhxp21VujPe4vG0jk1u6HFsqhiwcxxi+8orTvm2k6XdpWHMMX9tuI7oYxr2WMuVV37W6k7ya2y81fOV6mHaEPF9zbOWracRqyHBj+6qaP4f0HyOcfNym4WsT5ceGr5yi/m8CJmACJmACJmACJmACJmAC2ycwy/CFMlsVswycu2aHs4WXDq6z4St/s4BVIbWBP6hQkKp/fItHXTZ8ER4K3pLLW/8weNewW8s2VpmgnLMyQf2CR0lxHHHO337geTV8obxDqa9cWWlUcyjp9FlkUdfS8IWBSsPC8KNGNg03K6N0xnPON6UVJupXzkc//elP9fagc91Gp29Wf1aQ60pKjB/KAOVwzeW03HSe7jJ8IWNWgBIPrS9YSadx69s+LhtM+DbRGKfflSJcLe/qD9f5DpfKlusufb7rPK/i6lr1RbiqRNTVnK3zcDZ85bq0K075Xv7Wkypk87PEH5bBlviW0lE57IrhK39zj1VHNYcimu+0RTw55u0+D9Pwlesc5BuyWk/jm+sb/JjTdowxfLGNmLJFaY6Bpub4Jps+rytcau/k6xgF1Y8+IyHfHovnWV0Tju2J4zpHvitXc9nYFtuf3nvvvWt+dKUdbbL2JwizNOlBV3XpN76ol1TertWO1Cu6pS7v5f4LcdXVd111a+s2AmMqeZRfl2G1lh5cbylTnkSkk69UBupATQPOcz2rTLlP36/kWO2V20LtJ2v/csjuBFpXl9K6JEPpmhq+cr8ynm8l2ybKTzZ8Tek3Rjx9NAETMAETMAETMAETMAETMAETmEZgluGLIPOKEga9zPxWh6IkD8IZiJcUHPoNMJ5hNnTeWo6BelYSEm7eyjAbLPCPGbX5OxQozVT5ynN8wyK7lrKNHbCroiorE375y18eUIJcc801WfzF9ddff+A54qqGL15iyzeuxw82pe8TsHpI5eJ5NdLgV0vDF/5lwwGKmLzlIfkvG+/uueeeFQ/yoxqikJut+LiuDgV83kJLFZb6bN953laPbYpKKwzIm1lRqPk/b2GE7KUt+jASZn/UcBLytszTfYYvwsxlEp7KXZWtlOnaKk3yo+a9PmNixFePedUDfFQWnsUwowrrKBOEPcXdeOONq3KFXxgyc32Ev+QNvg8U4XEMJTf3W+dhjBYaFttsUc9OcWx7pn5xnpWy+Ev5Iv312ZrCXpWpu2L4Ig2YnKHyU55yHiKuuf0rGQtym9a3XR8Gkgi71JYOTTu2+NOyhJ+UJ9qVIT/NJy3bjjGGL+KKcSZ4cGQFuCrwg0c2NJG32I5vrIObhoeiHl4ll+OiEzEo6/m7hZR95YqfpfY7jMR5O0HSM69AJF9mZXzIjxE3O62L1fDFc1nektGPSQ3qR4RV+o6Zlo++vKx+zmkjmDQTMsWxVHYzl9L/VjKxvXbIwhF/2f44HH2d0uQlns11bJ7MxTN5ogzGYbbO1DDzCr6xfVWtq3NfNeIx5KjfdEW+3L/Hj1aybaL85B0xzj333CHR9jMmYAImYAImYAImYAImYAImYAINCcw2fKG0yUYEBqko3RlQozBRpYAOsEsKDpT8WQnHfxTEbEWIgkRngoZ/ujVL8MlK9niWI9vEsOWObj0W91HqlJSOLWUbO2BXJiVlQv7YPHGBE8+yciZvixNx5ZgNX/DLM4B5DiMk4eAfyhH1g/PYdin4c2xt+MIQoYoVwuU/8hJ+Se6SXHlrG/xBiQ0vDCKsTlTmEU5WJmpcu87zajX8Q+n/kY98ZHHdddct2JqqlBezwpEwMA7wvv5QElHeSBu++6L3OKeMbjpPDzF8Mas+px8rt8JRjrPslBX4YGRHYZyVrjyPMnusy6sC8QfZqGNY4VWqZ1S2008/fTF2pQiK1ewvRlrSjlVcrLRiZVBmxDt5BUvrPKzpRzzJ/7CG01iHkk9ZcU4dRDzPP//8pTExx5HwagYIfXZXDF8wwRiZ40l7R9tywQUXLFfv0M7lZ0i77A7L8EV6ZPnG/P/Vr361FpVSHTyl7cjGor4VORgIstzkKfoBGLUp06W+CpMQpro8oYHwaUMuv/zypYGC81L6ZwMZk0hqstMGlOq83OcptR+0C7QxbPurZSiHhYz0r3RVivbbcjuUV57hH89T7jHI5oknGh5yUA/cfPPNK+xjDF+t2oiWhq9WMvEtUGUV56R/bjfiXhyz4Qu4bCcc9+NIP4eVZaV0Im1yeR7bV9V8Rv6f6vKqNvyFg/YXWsrWuvzkySTwp4zQDubJWlMZ+T0TMAETMAETMAETMAETMAETMIFuArMNX3jPDP+SQikG2nrUFTslwxf+3XfffUVlkfqj5xgqSk4NXwyau5Qx4R/PdX2ovZVsYwfsaoQpKRNQ4ug3RCI+pWP+llnJ8MVs4ZIioOQf11CwZcU8adLa8IWfpRV6NblQMtS+eYbBqfZe6Tqz5ee4vDVfKQy9hoKqtJUj8UFxqM92nZN3ugx2rfK0Gk5Y+VJzWcGP7FrmSiusuuJX+mZMLex8fShH6ipWM2Y5YDvW5W8hZT9L/2vfL2uZh/n2XClsVqmNdeTbvG1Xye+4hkITpW/NqTJ1lwxfyJu3zYs4lY7Eg5UAJZfLRclQre+1WvFVMlKWZK9dy4ryVm3HWMMXbEqrkGtyc520m+NYrTmkX6EysHKr5DAE6XNd57piLPyi/Gg56XqfMqT5J57lu4nhugxffC+qZIwLf/SI0TPnbe7ryq8xhi/ka9FGtDR8tZIJf/KKRGWp50y60PQuGb6YaIHhU9/rOr/11lsj+VfHsX1VlanUV1153HNSmtiB7OSVcC1la11+kLHWh6aOtDMBEzABEzABEzABEzABEzABE9g8gSaGL8REiVBSpMQgGyUK3zTRmc1cqzlm/vcpTjG2lLbYCT/V8IUBhO84dClrWFXWpXwNf1vIpt9qwmDQ51S5pgP//F6XcQWFBIryPBOVLZtKjtV8zFyPNCwdMQhceeWVVeMSCnt97/vf/34pqNW1r3zlK2vP12RjxqwqPTQMzjFIsH1T39ZFKG3zdmvZL1Z/YcBr4VBqqWIohxX/2XoxtrGqhYshRg2i8W4cCYfVHKUtgrKfLfK0rvTo+j4XaZLLIYzDYdgj/hGP2pG4k5/70jj8LR1R4NYMPoQLQ1aLhAESRZ7KM8XwhRx8uyVvk6f+xjl1GKsFu1yrPMyKmZwuyDHF8BXy8u2giEvtiOGyZDQPPzhqPie9prqrr756TZ6aUTz8R7aQu6u9Ij2pC+PZ0pF6pjTJIMLalGzhf+04RjFeilepzWzRduRtE3XLt1pcuP70008vtzQuyRrXyE+6/W2Xf333qF+HGGIoW32rJ2kvu1b2MMHojjvuqIpEO9XVnnEvVhuyuiu3RWr40vqJ1XLZPfPMM519Pvos1M9s2Uh7nesWNXzplruE2+datBG5H0TemNOWtJAp4s0km5w2kXepZ2655Zblo9ovzCsAwy+OGLRq/uEvq4wfffRRfWV1PravqnV1V191FUDlhLRgVXXEO47qZ2vZWpYfolXadpt42PBVSXRfNgETMAETMAETMAETMAETMIHGBJoZvkIulGAoSlmFxY/zkmIsnu87sr0R20l98pOfXKAcQZGPoUW35Kn5kQ1f8RzKJ76lwHc0UGpjbCl9wyqerx3nyFbzs8V1vmvCt5HY5oaZ4Siz+N7GVKUOWzzefffdyy1mYMZ2hxjEMLyg4DxMh0GCD5OTJ1CIs0oAJTRKraGOOKD0wSjFajjiCDu+pdG3vdbQMPQ5ZMYAzKx7jLsod/iWGFsYUl7GhMmqEOKLrKzcQEEJB+ISxhoNu+98l/I0ilWU3+RhjOpwog5glQYG7z7DYF9c9T4GCZixPR1hkBYoC3M+Qon7k5/8ZHkPRWNtJZb6XTunPJJ2GKsxqGH8w9BC3mNVyJA6LvxumYfZho38iZH6kUcemVxvhGykE5MeMOygtGR7OIzSlNva1obx7lE6kp7Usxj7yLOkJfXkd7/73bXv9BylOM2V9bDaDsopq0gxIFDPUndwpEyz+nUT7Rb+Yughj2PUIf3pA5HXKU9jwqTuw8DFNozUD9R31DVD/CAfEh7bplKXYdhkG1XKcnZsHUxfAUMK4U2pU6mnaH/I8/yQF6NilhXjNtcJi3Rpofxv0Ub8+Mc/XhpXMAy1cC1kCjmYrAWrL3zhC8t6BVmZrDHVMYmCNvXCCy9c5gnqJsLYZYdhmVWy5GnyWt8kiblxaV1+8C/aVMYeY/p3c+Pi903ABEzABEzABEzABEzABEzguBNobvjaJaA1w9cuyWhZTMAETMAETMAETMAEtk8AoxKrcFiRZmcCJmACJmACJmACJmACJmACJmACJrA/BGz42p+0dExMwARMwARMwARMwAQGEGAFVGzNxypfOxMwARMwARMwARMwARMwARMwARMwgf0hYMPX/qSlY2ICJmACJmACJmACJtBDQL/xxXfF2KLQzgRMwARMwARMwARMwARMwARMwARMYH8I2PC1P2npmJiACZiACZiACZiACfQQ4BuYbHF44oknLvguqp0JmIAJmIAJmIAJmIAJmIAJmIAJmMB+EbDha3mDlFIAACAASURBVL/S07ExARMwARMwARMwARPoIfDUU0/1POHbJmACJmACJmACJmACJmACJmACJmACR5WADV9HNeUstwmYgAmYgAmYgAmYgAmYgAmYgAmYgAmYgAmYgAmYgAmYgAmYwBqBvTZ8Pfzww4vbb799+XvwwQfXIu4/JmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmAC+0Vgrw1f+5VUjo0JmIAJmIAJmIAJmIAJmIAJmIAJmIAJmIAJmIAJmIAJmIAJmEAXARu+uuj4ngmYgAmYgAmYgAmYgAmYgAmYgAmYgAmYgAmYgAmYgAmYgAmYwJEhYMPXkUkqC2oCJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJtBFwIavLjq+ZwImYAImYAImYAImYAImYAImYAImYAImYAImYAImYAImYAImcGQI2PB1ZJLKgpqACfx/9u7sRYrr///4/5J7L73xxgthLgT5DYiICGIQRURFoqKIBsVx341LYoziuCVRHIlr4oKK8WPivsUd4xjj6MTd0XF0rB+vzrc6tXVPdXfVqdPdzwPSW1Wdcx6nqqc87z7nIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAQDEBAl/FdPgMAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEECgagQIfFVNU1FQBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQACBYgIEvorp8BkCCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggEDVCBD4qpqmoqAIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAALFBAh8FdPhMwQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAgaoRIPBVNU1FQRFAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBIoJEPgqpsNnCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACVSNA4KtqmoqCIoAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIFBMg8FVMh88QQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQSqRoDAV9U0FQVFAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBAoJkDgq5gOnyGAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCFSNAIGvqmkqCooAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIFBMgMBXMR0+QwABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQqBoBAl9V01QUFAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAoJgAga9iOnyGAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCBQNQIEvqqmqSgoAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIBAMQECX8V0+AwBBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQKBqBAh8VU1TUVAEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAIFiAgS+iunwGQIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAQNUIEPiqmqaioAgggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAsUECHwV0+EzBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQACBqhEg8FU1TUVB0xD4+PGjc+3aNae5udkZO3as07t3b+eff/5JI6tMjtmrVy9nxIgRztq1a53ffvvNUX1JCJQq8Pz5c+fw4cPO/PnznQEDBjjz5s0r9RBsHxD47rvvnIaGBmfGjBlOS0uL09bWFtiClwj0LPD27dvcd/vq1audYcOGOY2NjT3vVCVbXLx4Mfc3ecKECc7mzZudGzduVEnJKSb3VpwDCCCAAAIIIIAAAggggAACWQsQ+Mq6Bcg/EwF1Fm7fvt3p27ev89lnn/n+tbe3Z1KmNDIN1k313bp1q9PR0ZFGdhyzxgSuX7/uTJo0yXd96JyaNWtWjdXUfHXWrVsXcp04caJz9epV84Uhx6oTePz4sbN06VJHP27wfs/369ev6upSqMDnz5/31U31HDx4cC4Iz484Cqll+z73VtxbZXsGkjsCCCCAAAIIIIAAAggg8J8Aga//LHhWJwLHjh3L/Yrc21noPtcvy9+9e1czErNnzw51HKqu6iw9evRozdSTiiQr8OrVK2fy5MmR506fPn04dxLgVqe+Rue43z3ex/HjxzsvX75MIBcOUWsCCvh8++23keeNziGN7q2V9OTJE2f06NGRde3fv79z586dWqlqTdSDeyvurWriRKYSCCCAAAIIIIAAAgggUDMCBL5qpimpSE8CHz58cGbOnBnZiTZlyhTn7t27PR2iKj9XEGPTpk2hkQHqJJ0zZ47z/v37qqwXhU5HQAEZBbe8gRg912jBnTt3Ol1dXelkXKdHlffIkSND3moDTfVGQsAV0CivIUOGhM4V/ZBh5cqVjqYkrcX04MEDp6mpKVRvfS/t2rWrFqtcVXXi3so/6pJ7q6o6fSksAggggAACCCCAAAII1LAAga8ablyq9p+AfiWvURTBzvxp06Y5ra2t/21Yw8/UaTpmzJiQwahRo1j7q4bbvZSqRU0tpgDMnj17OEdKgSxjWxkHp63T99XZs2fLOBq71JqA1p7UNIbBv2HffPONox831EO6cuVKbl28oIFGwJGyEeDeynG4t8rm3CNXBBBAAAEEEEAAAQQQQKAnAQJfPQnxeU0IRE3btn79+pqoW6mViFpbiDWbSlWsve3/+OOPUOBFHe1tbW21V1lLa/To0aNQcEPBsHv37llaYoplQkDTXjY0NISCXr/99puJ7K3KQyOUo37AceDAAavKWS+F4d7qv5bm3uo/C54hgAACCCCAAAIIIIAAAjYIEPiyoRUoQ6oCLS0toQ7DDRs2pJqn7QffvHlzyGTbtm22F5vypSTQ2dkZCrgo6KVfspPMCrS3t4eCHJpm8s2bN2YLQm7WCEydOjX0fX3mzBlryme6IBplpPU4gyO/rl27ZroodZ0f91bh5ufeKmzCOwgggAACCCCAAAIIIIBAVgIEvrKSJ18jAhqtEpw+TOtdkRxHo7y8HYdyevbsGTR1KLBo0SLfuaCg15MnT+pQwo4qa/pV77Wp58uXL7ejcJTCqMDx48dD58K5c+eMlsHGzDTya8CAAT6bQYMGOZ8+fbKxuDVXJu6tCjcp91aFbfgEAQQQQAABBBBAAAEEEDApQODLpDZ5GRfQGl7eDuRx48YZL0OxDDXS5u3bt8U2Se2zd+/ehUaWNDU1pZYfB7ZTICrIcvPmTTsLm3KpNJJEI666urpSzqnnw+/evdv33aXvMU2FSKofAZ2PGu3n/Rtmw8jc7u5uR2uO6W9Ilunu3bs+Gzn98ssvWRapbvK29d7qw4cPue9wXTtZJe6tspInXwQQQAABBBBAAAEEEEDAL0Dgy+/BqxoS0IgVb4ehntsyFZI6RjTyrHfv3o7WyMgqHTx4MGT0559/ZlUc8s1AYM6cOb5zYNSoURmUIrssb9++7WgqueDoEV2bs2fPdrK8HjTyzvsdpnKS6kfg0KFDvvbXqNysfihx4cKF3CjhwYMHh8qkaQc1Mi2LFBxdo0BhlkGPLAxM52nbvdWNGzec6dOnh4LE+v5cs2aN8/TpU9NEDvdWxsnJEAEEEEAAAQQQQAABBBAICRD4CpHwRq0IrFy50tdBN3z48MyrphFeW7duzQW83A7tLANfmi4qOBXkihUrMneiAGYEXr586btGdE6eP3/eTOYZ56IAwoIFC0L1d69L91HXR1YmCo675XAfX79+nbEc2ZsSCAaZvvnmG1NZ5/PR36zgVKjuuRh8HD16tPHpcvVjlmA5Tp06lS8/T5IXsOXeSqO7Zs6c6Wt/BWH1Y47+/fvn39d3+MmTJ5OHKHJE7q2K4PARAggggAACCCCAAAIIIGBIgMCXIWiyMSugdT40YsPbIXb69GmzhfDkpqnTvv/++1CZVL4sA18qYrDzX7+YJ9WHwK5du3zXyJAhQ+qi4vp+0LSn3u+Hnp5n0ZmuNfeC5dqzZ09dtFG9V/L+/fuhtleg2mTS363GxsZQOYLnpPe1Rk6aHpUWHK2p0T+kdARsubdSYGnYsGH5c1PBrevXr+crrVF/a9euzX+uc3Tfvn35z0084d7KhDJ5IIAAAggggAACCCCAAAKFBQh8FbbhkyoW0PRl3s44BcGySups6dOnj6883rJlHfgKWqlstkwJmVWb1Uu+48eP952XO3furIuqeztEFQC7ePFirrNenaWa2jA4/aOuiYaGBkedvqaTRjB4vy/qbSpK09625Ld9+3Zfu2fxd+Krr77ylWHEiBG5ETZTpkwpGhDTKByTKWilIIhGA5GSFwjeL2R1bxX8ji70w4TgWmTe4FjyOv4jBq24t/L78AoBBBBAAAEEEEAAAQQQSFuAwFfawhw/E4HgFGFZjmRRx4s6ENUJ8uLFi9BaQll0aAYbJfirfqY7DArV3msFedRB7A2q/Pbbb7VX0UCN/v7773yd9+7dG/j0v5caoem10fPW1tb/NjD07NixY6FydHR0GMqdbLIS0LSB3vNv1apVRouiAIGbv6YJjlrrTn/TgtMxuvtotKKpFDVla6FAiKky1Wo+Ntxbab059zzT4+eff16Qu62tzbet7nVM/oCBe6uCTcMHCCCAAAIIIIAAAggggEDqAgS+UicmgywERo4c6evsUPDJlhSc/saGwJfKELcjyRZHylGZwOXLl31trvb/66+/KjtoFey9ZMmSXL17mjJQnaP9+vXzGWUxXWrUlHfq+CXVroCC0t7vYz3fvXu30Qq7I2W0VlKxqQu7u7sjg1+mR48GpzZet26dUa96ycyGeyv33HSvkSNHjhTlnzhxou96Onz4cNHtk/yQe6skNTkWAggggAACCCCAAAIIIFCaAIGv0rzYukoEglMLrlmzxpqSf/fdd75OGBsCX0uXLvWVKavpi6xppDooSEtLi6/N1YmoDvdaTloXRqPcNH1gnDRp0iSf0ZUrV+Lslug2Cjq4Hbzu448//phoHhzMLgGNLHTb2n08e/assUIqmOUGkqJGegULcufOnVB59TfFZBo4cKCvDAp2kJIXyPreSqNd3WvCfSwWmJXAwYMHffuYnAGAe6vkz0GOiAACCCCAAAIIIIAAAgjEFSDwFVeK7apGIKqjuKfRHSYrZ2Pga9u2bb6OIXUoPX361CQLeRkWWLZsma/N+/bta7gE5rNTYG///v3O8+fPY2UeHFmQ1bpBwSkpm5qaYpWfjapT4OTJk75rU9/HmqLTVLp06VIu/1JGSgcDT1OnTjVV3Fw+WqvPDYToUWvykZIVsOHeKviDjThBrPb2dt+5ofPjyZMnyeIUOBr3VgVgeBsBBBBAAAEEEEAAAQQQMCBA4MsAMlmYFbh582aok8Pk1DY91dbGwJd8vJ2Gel4P6z311Fa1/Hmwo1hTmpH8At7OfE3xlVVS23ivzzidvVmVlXwrF9i6dauvvdX2cYO1lefuOG5wIc5oLze/YJBYU/qaTHPnzg2ZdXZ2mixCzedlw72Vvvu834Vq9zjJHcHo7rtjx444u1W8DfdWFRNyAAQQQAABBBBAAAEEEECgbAECX2XTsaOtAlrvwe3ccB/37dtnTXFtDHydP38+ZLZr1y5rzChI8gLBYIrWsyL9J3Djxg3fNaG1trJKn3/+ua8sTEWaVUuYyXfevHm+9tbfsba2NjOZ/18umu6wlOSunef+zVXwzmTSml5u3u6jpowkJSeQ9b2V1l1029Z9/OGHH2JVcNiwYb59TQVmubeK1TxshAACCCCAAAIIIIAAAgikIkDgKxVWDpqlwO7du30dHOogsSmIY2Pg68yZMyGz5ubmLJuRvFMWCK7VQjDlP3CNrmlsbMxfE0ePHv3vwwyeDR06NF8Wt8M3g2KQpSGB4OgptXmWgdc41Z4yZYrvHD137lyc3RLbZvXq1b78ZXb9+vXEjs+BHCfreyt9L7vff+7jgQMHYjVNcIRz3HUeYx28yEbcWxXB4SMEEEAAAQQQQAABBBBAIGUBAl8pA3N48wLbt28PdY5s2rTJfEEK5Ghj4OvYsWMhs7Vr1xaoAW/XgkBw3Sh1JJKc3MgarQ/kdqxeu3Ytc5YBAwbky+OWq9QROZlXggLEFlCnvNvO7qMN52GxCgwePDhfZq0XqNE5JpNG8LhW7qPp4JvJ+maRV9b3Vrdu3Qq1sdbDi5OmT5/u21fT2JpI3FuZUCYPBBBAAAEEEEAAAQQQQCBagMBXtAvvVrFAMLCkTrCvvvrKmhoFyzd58uTMy7Z3715fp5DMFi9enHm5KEB6Am7nsPfxw4cP6WVo+ZHVUX/8+HEnaiTcwYMHMy29AgnedtLzjo6OTMtE5ukJaD25YHufPn06vQwrPHJ7e7uvvJp20HSaMWOGrwzyO3HihOli1HR+wXsXGZu8t1KQK3hdXLp0KZZ5MDBqaoQz91axmoeNEEAAAQQQQAABBBBAAIFUBAh8pcLKQbMUWLVqVahzpKmpKcsi+fIOdh7ZEPj6/vvvQ2YzZ870lZsXtSPw8ePHUHurQ/HZs2e1U8mYNXnx4oWzbds2J2pUlbeTdfny5TGPmPxmUaPzHj9+nHxGHNEKgSFDhoSuz0OHDllRtqhCaFpc91pR4DiLoGzUKLn9+/dHFZf3yhTI+t6qpaUlf56559vdu3dj1WbNmjWhfd+/fx9r30o24t6qEj32RQABBBBAAAEEEEAAAQQqEyDwVZkfe1sosGzZslAHhw3BJZfKxsDXt99+GzLTmi2k2hR4+/ZtqL3VkWj7OkJptEZUZ67bqRp8jDutVtLlDJZDr1tbW5POhuNZIjBo0KDQ9WnTOpVepq6uLqdfv3758mZ1jYwYMSJfBvd6sdXM61dNz7O+t9qwYUOojdva2mIRRt3j6EcPaaeofLm3Slud4yOAAAIIIIAAAggggAAC/woQ+OJMqDmBqM6ZUaNGWVNPGwNfS5cuDXUo2RQstKbxaqQghQJfV69erZEaxq+GRr/J4/nz587NmzcdjSoYOnRo6HpQZ7rW/tL2JlOhtqrHIKVJ9yzzigp8bdy4McsiFcz766+/zl8rWkcpq6Q1m9yAl/tI4CvZ1sj63mrnzp2hNn748GGsSkYFoDRFZ9qJe6u0hTk+AggggAACCCCAAAIIIFBYgMBXYRs+qVKBqM4ZdWTbkmwMfGlaQ7ez0H0k8GXLGZN8OQoFU86cOZN8ZkWO+PLlS2fevHnO7NmzU/mnEQLlposXLzpaB8a9HtxH0+sGaUpDN2/vI4GvclvW/v2iAl+rV6+2ruAadeiek5qeUaO/skreUWdumQh8JdsaWd9bHT16NH++uW2sHyvESVEje038iIF7qzitwzYIIIAAAggggAACCCCAQDoCBL7SceWoGQpEdc7o1+C2JBsDXxMnTgx1KBH4suWMSb4chQJfpqcpO3XqVOi8czs0k3hUAKGSpI794PpamzZtquSQJe+rNWyiLAh8lUxZNTtEBb40csSmpO+QxsbG3LmpoJOJaeOK1T8qSE3gq5hY6Z9lfW916dKl0HfhuXPnYlVEP7Dwfo/qfDGRuLcyoUweCCCAAAIIIIAAAggggEC0AIGvaBferWKBqM4ZddDZkmwMfI0ZM8bXKaQOIgJftpwxyZejUODr2LFjyWdW5Ii2B75U9HXr1vmuDdPTuV2/ft2Xv9t5S+CryIlV5R9FBb4WLlxoTa26u7udsWPH5s5LBRBsOBfd68L7SOAr2VMm63urBw8ehL4L4/7Nmjp1qm9fU/eE3Fslew5yNAQQQAABBBBAAAEEEECgFAECX6VosW1VCGTdOdMTEoGvnoT4PG0BWwJfN27ccMaPH5/av/Xr11dMqbW/vJ3pI0aMqPiYpRyAwFcpWrWxre2Br8WLF+euCY2G1DVsQ/Jeo+5zAl/JtkzW91ZRf7f27NkTq5LBANTo0aNj7VfpRsF8dW7yo6JKVdkfAQQQQAABBBBAAAEEEIgnQOArnhNbVZFA1p0zPVER+OpJiM/TFojqQFSHXNxfz6ddPtuO753u8MsvvzRaPAJfRrmtyMzmwFdzc3M+EHzhwgUrvFQIN9jlfSTwlWzz2HBv1dDQ4GvruFPPutNyuufHokWLksUpcDQCXwVgeBsBBBBAAAEEEEAAAQQQMCBA4MsAMlmYFbChc6ZYjQl8FdPhMxMCBL5KU+7Tp0++s1Ud/yYTgS+T2nbkZWvgS4EkN3CgaUptSm65vI8EvpJtIRvurdasWZM/B9XWU6ZM6bGSb9688e2j/a5evdrjfklsQOArCUWOgQACCCCAAAIIIIAAAgiUJ0Dgqzw39rJYwIbOmWI8BL6K6fCZCQECX/GVOzs7fZ2mJ0+ejL9zAlsS+EoAscoOYWPg6+eff85fB4cOHYolev78eWffvn2xtq10I2/Ay31O4KtSVf/+Ntxb3b17N38eqp01AqynpO9s95zQY79+/XraJbHPCXwlRsmBEEAAAQQQQAABBBBAAIGSBQh8lUzGDrYL2NA5U8yIwFcxHT4zIUDgK76yRga4naYa+aVAmMlE4Mukth152Rb48gYOWlpaYiG9ePHC6d27tzNu3LhY21e6kXuNeh8JfFWq6t/flnur4HSHDx488Bc08GrJkiX573CdH2vXrg1skd5LAl/p2XJkBBBAAAEEEEAAAQQQQKAnAQJfPQnxedUJ2NI5Uwhu3bp1vk4YGxY6p3OmUGvV5vsEvuK3q/fayKIjncBX/LaqlS1tCnydO3cu//dq8+bNsYjb2tqcgQMH5vY7ceJErH0q3cgb8HKfZ3G9VloPm/e35d7qm2++yZ+Tauv169cXZevfv79v+9bW1qLbJ/mh9++He17acM+XZB05FgIIIIAAAggggAACCCBgqwCBL1tbhnKVLRDVOaOORFvSzJkzfZ0wpn4RX6z+EyZM8JVJHTR0zhQTq+7PCgW+bFu3Jw3lLVu2OPo+GDlypHPgwIGiWajT3u2sHDBggPPx48ei26fx4Z07d/JlcMuix/v376eRHce0QCAq8LVixQrjJbt27ZrTq1ev/Pk3evRop6d/3rJrhKSpa8ZbTvc6IfCV7Cljy71VR0eH4113USML9TctKh07dix//uq8mD59etRmqb3HvVVqtBwYAQQQQAABBBBAAAEEEOhRgMBXj0RsUG0CUZ0zNgSX5OhO/+R2zOlRHTiFOm1M2Tc1Nfk6h1QuAl+m9M3nUyjwdevWLfOFMZijgkXea0/Phw4d6mg6w2D68ccf89s2NjY6z58/D25i5PWzZ8/y5fCWncCXEf5MMvEGj9w237Ztm9GyKOAaFUxyyxPncfXq1cbKHJz+TuUj8JUsv033VqdPn/Z9L06ZMsX59OmTr8KPHz/2Bcj69u3rKGhmMnFvZVKbvBBAAAEEEEAAAQQQQAABvwCBL78Hr2pAIKpzZs6cOZnVTMGu33//3WlubvZ1wng7DgcPHuzs27fP0S/stb3p9PXXX/s6kVQ2Al+mW8FcfoUCX1kFd0zV/N69e6Hz3L0OR40a5axcudLRiExvJ/q0adOc169fmypiKB+NmHHL6H0k8BWiqpk3ogJfhw4dMlY/rZmkUTTe862c548ePTJW5uHDh4fKS+ArWX7b7q2Co7k0raCmhm1vb3d0vSjQ5Z63mu5QU3CaTtxbmRYnPwQQQAABBBBAAAEEEEDgPwECX/9Z8KxGBIILmavj49tvv82sdsH1KNyOmEKPU6dONV7WnTt35juI3HJNmjTJeDnI0IyAfvXutrP3MfiLeTOlMZvL3LlzI+vudVCn/4wZM5w///zTbOEK5BYVhLClbAWKzNsVCLjrY3nPyYsXL1ZwxNJ2XbVqVY/XiLdsUc81lajJpL9XwXLo7xopOQHb7q1UMwW6NP1msO29rxcuXJjZjxe4t0ru/ONICCCAAAIIIIAAAggggECpAgS+ShVje+sFNOWNt9NDz3/66Sfry51lAY8ePRoy0xRwpNoUaG1tDbW3ptysl6Rf/qtDcu3atY4CYUuXLnU2bdrk7Nmzx9EUb7YFALW+WPA7TaNISbUpEBXofPjwYW1WNqFaLViwIHSNKIBHSk7A5nuru3fv5kbNr1mzxpk3b17u+/zIkSPOq1evkgMo40jcW5WBxi4IIIAAAggggAACCCCAQEICBL4SguQw9ghETRP1v//9z54CWliSS5cuhToN1flKqk2BU6dOhdpb022S7BQYMWJEqL2Yxs3Otqq0VO/evQu1tYKenZ2dlR66pvdfv359yI3pepNtcu6tSvfk3qp0M/ZAAAEEEEAAAQQQQAABBJISIPCVlCTHsUagV69eoQ4wjeIgFRbQGkbBESV6rU5Y25JGuuiX5/qnX/mTShf44YcfQu09YcKE0g/EHkYEVqxYEWovvWdbevLkSf7a1PWZxXqFtpmUWh6NXAl+F+tvGqm4QFQwX4EaUnIC3FuVbllN91al1449EEAAAQQQQAABBBBAAAG7BQh82d0+lK5EgahOBo1c6u7uLvFI9bf52LFjQx2ut2/ftg7Cu2aGFq8nlS6gNU+Cnevff/996QdiDyMCN27cCLWXjYFKrTvmPa80pSSpNIFjx475DOVpY1uXVqv0t/748aMTDMwQMEzOnXur8i2r5d6q/BqyJwIIIIAAAggggAACCCBgpwCBLzvbhVKVKaA1erwdr3r+5Zdflnm0+trt4MGDITutl2FbIvBVWYsoCKyAYfA6IUhRmWvaezc0NITarKOjI+1sSzo+ga+SuCI3nj59eqid9+3bF7ktb/oFZs2aFbI7e/asfyNelSXAvVVZbLmdquXeqvwasicCCCCAAAIIIIAAAgggYKcAgS8724VSlSkQtQbFyZMnOPkV1QAAIABJREFUyzxafe329u3bUKdhnz59HP2S3qZE4Kuy1oiaEmzgwIGVHZS9UxdYu3Zt6PrUtWBTIvBVWWu8fPky1MYKUDNlZDzXc+fOhfwmTZoUb2e2KirAvVVRnqIfVsu9VdFK8CECCCCAAAIIIIAAAgggUIUCBL6qsNGyKPKrV6+c+/fvO8ERBu/fv3f++uuv0PtZlPHmzZuhTq8BAwY4nz59yqI4VZmnOgmDI4E09ZZNydbAV2dnZ+4aef78uY9LgUONpnr27Jnv/axejBs3LtTGR44cyao45BtTIBhU0nWq7zebUrCMNo0i1Ppjra2toUD+mzdvIt/PwnXr1q2ha3PevHlZFKUq89RoVk1tHPwbZst3b1WiOo7DvVXlLVcN91aV15IjIIAAAggggAACCCCAAAJ2CRD4sqs9rCrN3bt3c9MEBjuS1BF37949XwdTS0tL5mVvamoKdXgdPXo083JVUwEuX74cMhw5cqRVVbAp8KUgl6aD7Nevn89NwSUFir2/kp86dWrmjo8fP/aV0w2eEBzOvGliFUDXYrBT/8qVK7H2NbGRTYEvndP/+9//nFGjRvnWftIo1i1btjgK9nrXhFJQLOsUNZ1le3t71sWqqvw3bNgQukb0Hql8Ae6tyrdz96yGeyu3rDwigAACCCCAAAIIIIAAArUiQOCrVloywXpoVJd3nRF1Dq5atcr55ptvnNGjR+c6lYJrBD148CDBEpR+qKgpjsaMGcNor9IpnahOLq3vYUuyIfClTvXm5mZfB+vMmTOdTZs2OdOmTYu8RrIODmvkmYIAwcDJxYsXbWlaytGDwN9//x1qP436Co7E7eEwqX1sS+BLf4+8Qef+/fs7mzdvdpYtW+Y0NjaGrk8Fw7JO69evD7WtvmNIpQnoe07XhPd7Tvcwd+7cKe1AbJ0T4N4quRPB9nur5GrKkRBAAAEEEEAAAQQQQAABOwQIfNnRDtaU4vbt277RKxMmTAh1qgY7zxUEyzKpk9P7y311eGnNIq2rQCpdQJ3oUSMPLly4UPrBUtgj68DX69evHe/IG3WqB0eLbNy40dfxqnMy62nfFixYECrTzz//nEILccg0BXbt2hVqRwX5Nc1b1smGwNehQ4d8fw++++473/SGXV1dvs91bX755ZeZ0mlksjdQo+fqJCeVJ3Djxo2Qp+5TgtPQlnf04nspwKa/CWn+0/3N06dPixckgU+5t0oA0XMI2++tPEXlKQIIIIAAAggggAACCCBQEwIEvmqiGZOphIJe3gDSjBkzIjtTg536s2bNSqYAZRxFQYhgkEYdXCY6hcoobtXsoiCNRkF4O2M15aVGnGSdsgx8aT0g70gSjR7R+nfBpGvJa6epELNMUcESjU4jVaeAptf0nl96vnTp0swrk3Xga9++fT6Xn376KdIk+OONgwcPRm5n4s2oII0CmRq5RCpfQNNcBq+RIUOGOAp8ppmuXbsWyjdYjiReK580E/dW6ejafG+VTo05KgIIIIAAAggggAACCCCQnQCBr+zsrcpZv+z1ruWlDqIPHz5ElnHHjh2+jp3Dhw9Hbpf2m48ePXKGDh3qK4vqoM5XUuUCcgyuXaUg4x9//FH5wSs4QlaBL3WYDh48OH++KUisczAqaQ08b+fm3LlzozZL/T1NyRgV9Jo/f37qeZNBugJfffWV7xzT+ab30u7YL1arLANfwVFTS5YsKVjUiRMn+uxMjASKKsz58+dDPzDQdwyjlaO0Sn/v2LFjvnbWNaLpmv/555/SDxZzj1oIfHFvFbOxy9zM1nurMqvDbggggAACCCCAAAIIIICAtQIEvqxtGnMFU4DLO4pFnUPFpmVbuXKlrzPpxYsX5grrOLlp5bTemDewoOdaY8l0WYxWPIPM9KvvcePGhaw1DdeVK1cyWUMtq8BXcKrAYgHf06dP+8zUAWsyvX//3jlx4kQoMKzRkHqfVBsCOq+8o3T1Pahgtdbky+K7MKvAl0aieh20xlOxEVPeALa2NZk0JaW+O73raLp/y7SmV7FymyxnreSlHyFo2kHXWI86VzQFZnCK2iTq3NnZmVtPTmvKpfkvjeCdPLi3SuIs6PkYNt5b9VxqtkAAAQQQQAABBBBAAAEEqkuAwFd1tVcqpV2xYoWvU+jrr78umo93lJXWmugpadTJkSNHnCSmk1Jwy9uBpefquLx8+XJPxeDzMgXUfppCTEGToP3w4cPLPKp/NwWKZs+eHeuf9/xTB2bc/RYvXuzPtIRXv/76q6/uPdV71apVvu3VyRWVHj9+7Gikytq1ax0FlBXIqHSazvv37/vydttMx3/37l1UMXivigX0I4Vp06ZFtvnZs2crrplGf8S9xoIjqaZMmRJ73/b29rLKqkCSN5Cl8/3cuXMFj6VrwL0m9FhoZJgCUPpeUvBi4cKFTktLi3P37t3I6X8LZhbxQXAUrcowfvz4oj82iTgMb5UgoBF0Cuh4g6PuOaD3SU7uh0OuifvIvVW6Z4aJe6t0a8DREUAAAQQQQAABBBBAAAG7BQh82d0+qZdOv5R3Ozn0qKkCi3WOa3Fu7/bLli0rWsbjx487WgdJ++gX7pWmqNFH+vU8KX0BBWm8ba/ncQKfcUqm9aaCx076tTo9y0nqAA+uI3f9+vWih/J2xGs0ZTDpmMXqrNFl6hQrJ926dStkqcCIRiKQalcgaqRGEqP7TE3dpqBSOenAgQO+813rYxVLwbWfTp48Gdpc17f7dyv4PaSp8or9jQwdLPBGMPiiHxQ8efIksBUv0xD4/ffffeeK2rZQ4DON/G0+JvdW2bVOmvdW2dWKnBFAAAEEEEAAAQQQQACB7AUIfGXfBpmWIDjd0po1a4qWxzvNnDqNNBImKqkzUUERb6dhEoGvDRs2RP5qWyMN6DyMaonK31MARqMdgh22eq1RREmkYkEg7zlUyfNyA1+aNs6b77Bhw4pWWR343u2XL18e2l5rfnm3iXquYFU5055pBFBw6lIdv0+fPs7evXtDZeGN6hbQiKyxY8eGzicFX8sNJnlFbA586foIjqDqaZTbpEmTfFb6MYc3ab1L97tO1/rkyZN961/qWuopuOY9XvD5hAkTfPm7137W67MFy1lLrzXia+nSpSF3nTuHDh2qpaqWXRfurcqmK3tHE/dWZReOHRFAAAEEEEAAAQQQQACBGhAg8FUDjVhuFbQGjNvp5j4WWzeiq6sr13nubqvHYKehynLhwgVn1KhRuWDJyJEj83kkEfjS8dXZqcBasMNTo9XOnDlTLgf7RQjcvn3bGTJkSL4N1eYaoaCRfOUEZSKyyL2lKf403Vecf8GRGHH20TYKJJWTgvlp2s5iKdixfurUKd/mmoZNjhpFpvP4zZs3uekNZRA8pys5nxUInj9/vq/tlK8cKhmx4qsMLzIT0NqMWqdIber9p2kJy502MKoyWvcn7jU2YsQIX1k0LWncfYutKxlVLr2na8Zbd63lVCwFg9JRozH1noLE3lGd7t8cb15Rf/uK5e39TPt+//33+QCbe1z9WESBTFJyAppKVu3pGutRU9XevHkzuUxq5EjueR78O8S9VfINbOreKvmSc0QEEEAAAQQQQAABBBBAoHoECHxVT1slXtLdu3eHOoOKZbJjxw7f9hpR0FP65Zdf8vskFfhy83z//n3kuhQalUaqXEBTSHo7C/VcI+uyDpp4Rx0qCJdm0uiPoEGxKQODHevaN9hBrqCwOhKjgsza1ttJq1EglSaN2HFHsLh10dotCnyTqlNA61pFjRw6f/58phX6888/fddLOcGsUiqgIK57Tuuxp/Upg2uQBUesyk/Xyl9//RVZDO8ak7/99lvkNqW8qe+A4OhM5a9rllS5wLZt23znh84RrdmWZtL3qtbETPtfmt/f3FuleYY4jq33VunWmqMjgAACCCCAAAIIIIAAAuYFCHyZN7cmx+CaDs3NzQXLFjXaK9hpGLWzRrS4HZNJB76Un36h7B1V5ub1888/RxWH92IKKOCj4IzrqUcFOtUhlnUyGfjaunWrz6CnKc6CHevB4LCm3JLl/v37CzJqWknXXaPtkkia/s09pvuoDneVh1R9AosWLQq1p0Y/ZZ1MBr40TVgwoOsdpRW0uHPnTshM6315k6Y1LXZtaipg9/pRXZNICn55g906vup17969JA5ft8fQSC+3rdzHhQsXpu5hamrQtIOj3Fulc6rYfG+VTo05KgIIIIAAAggggAACCCCQnQCBr+zsM89ZU625HUJ6vHTpUsEybd++3betti+0vpf3IGkHvpSXpooL1kXlu3r1qrcoPI8poF+SB6c6Usfss2fPYh4h3c1MBr6ampp85/369esLVk5TZ3mvJz0Pru+l6Y20bpA6FQulGzdu5I8TDJwV2ifO+7t27cof1y2n1oYiVZdA1Hexpjy0IZkMfD19+jR0PmskXKGkKRfd8959DI7GLLSv+76myNO++j5U4C2p5L3m3bIpj9evXyeVRV0dR3/7XUf3USNti33vJgVUK4EveXBvldRZ8e9xbL+3Sra2HA0BBBBAAAEEEEAAAQQQyF6AwFf2bZBZCdwOIfex0LRUly9fDnUiaR91iihp1Mjz588j62Ei8KWM9Sva4K//td6L1sEhxRdQZ67W5XHPCfdRARtbksnA1+jRo30Wmr4qKun8DwYLZXfixIn85n///Xf+ebEn3uDB1KlTi21a8mcLFizw1UdlPHjwYMnHYYdsBE6fPh1qvylTpmRTmIhcveeuzq1Cf1Midi35rT/++MNnoeuvUNqyZYtvW5VNa/e5SUH9nqZw1cgs7ad/lay95+YZfIwaoTRr1qzgZrzuQUDtFBytrB/GlBrk7CGbgh9rmkzln/Y/BUtNJO6tklGuhnurZGrKURBAAAEEEEAAAQQQQAABewQIfNnTFkZLol8+u5147mNUJ6XbiaOgkrdjX2sEKWnqO/0KXkGmqGQq8KW8V61aFarTpk2boorFewUEojpfta6NTclk4CsYBIwKfOka0JSEuo6C6/W467CsWLEi97lGqfSUvMGNQ4cO9bR5SZ8rWO1e7+6jOmiZ8rAkxkw2VsepvnfddnMfo763Mymg4zgmA18KPrkGeiwU+NIUkPpcgS7v9vPnz88xPXz4MBekmDdvXkE2Ba3dv3+///57we0q/SD4faPyMnK5NFW1q7ed9fzAgQOlHYStfQLcW/k4ynqRxr2VpnadO3du7r5DU4m3traWVTZ2QgABBBBAAAEEEEAAAQRqVYDAV622bIx6BX8VHewcUtDLnUIw+J92BUM6Ozvz62sF10pxszcZ+FIHcLDDq1BnqFs+Hv8T0DRhUR3rxdbN+W9vc89MBr40msZ7TgWDgBpF4E6htnjx4vz1oH3cc2/16tW5Y6jzME5SB7z21/WZxohF1cFbJz0PXvtxysk2ZgUOHz4caree1pwzW0KzgS918gbP42AQ0A0i64cbWvfRu72C2Ap69e3bN3etBfeVnda23L17d+5zd1/9Tbxy5UoqtFpfzM3HfQx+56SScY0c9PHjxyE/tb3akVS+APdW5dtpzzTurXT/HZzlQK9tu1+rTI69EUAAAQQQQAABBBBAAIHKBAh8VeZX1XsHp3FTR7s6V7XW17p16/IdSC0tLY5+8e52xOlRI1vcX6crEFEomQx8qQzqCPaWU8/pCCjUOv73NZIhaDdw4ED/Rha8Mhn40ojBoElzc7Ojada0ZpY6zfW5fm2tzi33td7T9aSpCvV88uTJsdYE0sgrtzPryJEjqWjregjWibW+UqFO9KDu96237fT9alMyOeJLQWH3WnFN9Hfp/PnzjgJeboDX7Qzes2eP77yfOHFibq0u7Rv1N0LHCR7fzUePd+7cSZxeo0eDeeq1ibWpEq9MBgeMGpm0dOnSDEpSe1lyb1V+m6Zxb/XLL7/4vs/c76Zp06aVX1D2RAABBBBAAAEEEEAAAQRqTIDAV401aCnVOXv2bOR/nN3/QOtRnYVK9+/fj9x2/fr1RbM0HfjSmkre8uv5smXLipaRD/8VcEcaef0U9LQtmQx8vXr1KtQR7fXRc63Do6CXUnAUpT5XUCnuiAOdq9pHgbI0kwKawXqoriQ7BbSGXLC9FGR1zztbSm0y8KU6r1mzJuTiddL1ePPmzRyPAtXez9znv/32WySfgtAaVaagmL4H+/Tp49t/xIgRkftV+uaSJUt8+aictgU4K61jWvtrymW3Xd1Hpn9LRpt7q/Id07i3+vXXX0Pnus55feeREEAAAQQQQAABBBBAAAEE/hUg8FXnZ8KOHTsi//OsTr3bt2/nddTBGuzU1749JdOBL03/4nZ4uY/qsNT6OKTiAsGOXflpKjDbksnAl+quac2C575sNJXh8ePHfTxffPGF7/xTUCzuaA2NItNxNWpF53GaaeXKlb5yKl9N6UayU0Btozby/rPxl/2mA1+6tjTa0uviPm9qanIUMHTT3bt3fdspcHjhwgX34x4fNa2prmf3+Hp8+fJlj/uVuoE7PaM3HxvbutR6pb29pmb2mum5/qaRkhHg3qp8xzTurTQ6NGoUsM57EgIIIIAAAggggAACCCCAwL8CBL44E3Kdgz/99JOjKdw0vZpGd0WlJ0+e5EaAaYqVf/75J2qT0HumA18qQFQnw7Vr10Jl443/BJ4+fRrqNFQHStygzX9HSv+Z6cCXaqROJl0bukb27t2bGwUSZaPOcW2nkZLqaI+btDaNgmsKpj179izubmVvpxEswU7iUaNGlX08dkxXQEGcYHt988036WZaxtFNB77cIt67d8/58ccfnW3btjmnTp0q+PdJ0xPq+0OjV8oNLjc2NubbQtMCJ52i1i5jusOelaOmfhs+fHjPO7JFbAHurWJT5TdM+97q1q1buQC+Oz25jdNT5zF4ggACCCCAAAIIIIAAAggYFiDwZRi83rLLIvA1bNiwfMek21m8b9++eqMvqb43btwImSkIY2NSp7VGJOqf1nSp9qRgmTrT1amotfRMpKhpTm1tbxMetueh6TLd7zL30cbvtLa2tvy1qTW0yg0u2dwe3tGS+i5KOimg7rax91G2pMICW7ZsCblpnTdScgLcW5VuaereasWKFbnzf/ny5aUXkj0QQAABBBBAAAEEEEAAgRoVIPBVow1rS7WyCHxFTX21efNmW0isLIe3ndzO1pEjR1pZ1loqlAID6kzUiA6NWjGVHj16FOokVhlIdgpErcl2+fJlOwtb46XSiDL3O1Ij3NJImobRzcN91FpjpMICS5cuDZl99913hXfgk5IFuLcqmSy3Pp97DbuPSd9bXb16NXfu62/4ixcvSi8keyCAAAIIIIAAAggggAACNSpA4KtGG9aWankDKuo0MZGWLVsW6gDjV7DF5Xft2hUymzx5cvGd+LQiAY3sGD16dC7oVaxTW9OQajqjJNPbt29D7a1OuXfv3iWZDcdKSCBqjblCU9ImlCWHKSBw4MCB/LUTNd1pgd1Kelvr/Lmd5O7jr7/+WtIx6m3jKVOmhMz0d42UnAD3VqVbpn1vpelWFfDS94SNo4BLF2MPBBBAAAEEEEAAAQQQQCA5AQJfyVlypAgBWwJfpoJuEQRF39KIHwUhsk5ff/11qNOQwFd6rdLd3e1MmjQpZ37+/PmCGZ07dy63zcOHDwtuU84HhQJfpqZaLKfMpezz4cMHp7293co16kqph7YtNPUdga9SJZPZfurUqblrUiOM0kpRgS+tG2hz0jqF+pfV3zOt5+UGCd1HAl/JnjFRgS/b7q1s++5P895K3wnuua61C0kIIIAAAggggAACCCCAAAJ+AQJffg9eJSywe/fu/H/MTQVSojpnRo0alXDNKjucRtZs2rTJ0UgOUy7FSjxr1qx8O7kdKTaUq1iZq/WzT58+OVp7Rs5a12vGjBmhf+pM1Lpf2kZrmSWdCgW+NGVStSb92l2jPvr37+87l2Xc1NTkFBtVZ3OdFcBzr0nvI4Gv5FtN6/EoIL1o0aJc4DSYg4LUagN9b6c5pVhU4Gvjxo3B4ljz2oYOeK1R6L0+9JzAV7KniK33Vrpu9TczOEWozok1a9Y4T58+TRaihKOleW+le0h9V6j+JAQQQAABBBBAAAEEEEAAgbAAga+wCe8kJKBRKgMGDMh3Rqmz8MGDBwkdvfBhojpntEaODUkjvLZu3ZrrOHU76WwIMI0bNy7fTjaVy4Y2S7oMixcvDlm75lGPhw4dSroIuVEZUXmdOHEi8bzSPmBbW5ujNVOi6hN8b8WKFY5GBFRTunnzZmTdCHwl34ruaC73vNFoDZ1f+ru1ZcuWXDuoc721tTX5zD1HjAp8LVmyxLOFPU/1d96dak1uWY088ZbBbT8CX8meJ7bdW+m73P0RidvmEyZMcObMmeP7AYTODc0+kEXi3ioLdfJEAAEEEEAAAQQQQAABBP4VIPDFmZC4gDoKNcrC7YgIPqrj8OjRo4nn6x4wqnNGo2eyTF1dXc7333/vC3i5LjYEvsaMGRNqLxvKlWWbpZH3xYsXQ87ueRD1qGBxGoGaQiO+jh07lka1UzumAhBRHd5Rlu57GmFXTUkj1dyyex8JfCXfihrx6DX2PtePOJqbm42sgxcV+Fq4cGHyFa7wiJqGc8iQIT6zrAJf3rZynxP4qrCBA7vbdG/1/v17Z9iwYflzT38HvKN6dW6uXbs2/7nOiSzWwOLeKnAS8RIBBBBAAAEEEEAAAQQQMChA4MsgNlmZEbCpc0Y1VmdLsUCgDQEmOmfMnJu25FILgS+tkzZ06NB8x6Y6PseOHZub1lC/so+a+sztEM+iA7TctifwVa5cefs9f/7cUQBYQZPDhw87f/75p/G14qol8LVu3br89edeWwS+yjvvqmEvm+6tNKrLPef0eOrUqUjCadOm+bbzBscid0j4Te6tEgblcAgggAACCCCAAAIIIIBACQIEvkrAYtPqELCpc0Zi6nj56quvnNu3b+fWhfFO/6gOGwJf1XFe1VIpayHwtX379nyHptbwevXqVaiJNLI0Kuisa7BaEoGvammp5MpZDYGva9eu5a8/bwCCwFdy54FtR7Ll3urChQu+c+/zzz8vSKUZCLznp0b/a51NU4nAlylp8kEAAQQQQAABBBBAAAEEwgIEvsImvFPlArZ0zhRiXLBgga8jhsBXISneT0ugFgJfmjJVHZrTp08vyvTPP/9EToeokTzVkAh8VUMrJVtG2wNf+v5wR1QGpxol8JXsuWDT0Wy5twqO4jpy5EhRpokTJ/ruuTSS01Qi8GVKmnwQQAABBBBAAAEEEEAAgbAAga+wCe9UuYAtnTOFGL/77jtfJwyBr0JSvJ+WQLUHvjR6UkEvdb5rrZeekjrjvb/61/OTJ0/2tJsVnxP4sqIZjBbC9sDXzJkzc9eTRk4Gry0CX0ZPFaOZ2XBv1dHREfou19+zYungwYO+fbQunalE4MuUNPkggAACCCCAAAIIIIAAAmEBAl9hE96pcgEbOmeKERL4KqbDZyYEqj3wtX79+lxH5k8//RSLK6qztKWlJda+WW9E4CvrFjCfv82BL61/5gaR79y54+zZsyf/Wu8T+DJ/vpjK0YZ7K31vu+efHuMEsdrb2337aL8nT54YYSPwZYSZTBBAAAEEEEAAAQQQQACBSAECX5EsvFnNAjZ0zhTzI/BVTIfPTAgUCnwdP37cRPYV56HpDTXV4cePH2MfK7jWlzrwqyER+KqGVkq2jFGBr0WLFiWbSRlH07ShvXv3zgURtmzZkjsCga8yIKt0FxvurRTo8ga+5s6dG0vTPW/dfXfs2BFrv0o3IvBVqSD7I4AAAggggAACCCCAAALlCxD4Kt+OPS0ViOqcGTp0qDWltTHwNXbsWF9nkjqHbJiC0ZpGq7GCFAp8nTlzpmpq2t3dXVJZBw4c6DvHb968WdL+WW1M4Csr+ezyjQp8rV69OrsCOY7z6dMnZ9SoUblr6PPPP8+9VoFsCXwF1xrT37Bdu3ZlalZrmWd9b6Vz0A1cuY8//PBDLOZhw4b59tVaqyYS91YmlMkDAQQQQAABBBBAAAEEEIgWIPAV7cK7VSwQ1TmjX93akmwMfAUXfyfwZcvZkk45CgW+FGSp1RT8xb8MqiHdu3fP12Hrdvjev3+/GopPGcsQiAp8NTc3l3Gk5HbZvn177jxUgOnx48f5A9sS+Ape37pOCHzlmymRJ1nfWz1//jz0XXjgwIFYdRs3bpxv3wkTJsTar9KNuLeqVJD9EUAAAQQQQAABBBBAAIHyBQh8lW/HnpYKRHXOTJ061ZrS2hj4mjFjhq9TiMCXNadLKgUpFPhqbW1NJb+sD9rZ2ek7vzVVYrWktrY2X9kJfFVLy5VfzqjAV5Zr0t29ezd/Dv7888++itkS+NLUp+614T4S+PI1VcUvsr63unXrVqiNT548Gate+s53zws9agSwicS9lQll8kAAAQQQQAABBBBAAAEEogUIfEW78G4VC6xcudLXwaFOjjlz5lhTIxsDX4sXLw6ZMdWhNadM4gV5//59qL11negX9bWYDh065KvvhQsXqqaaHR0dvrK7nbeM+KqaJiy5oIMHDw61uc7hLFJXV5fT2NiYK0/UD0hsCXy5ZXSvDz0S+Er2jMn63kpBLm/76vmlS5diVVJTG3r31QhBE4l7KxPK5IEAAggggAACCCCAAAIIRAsQ+Ip24d0qFvj22299HRzq7FCHjS3JxsBXlNm0adNsIaMcKQh4OwHd5+rkrsWkqU7dOmrKq2pKUevaqC4PHz6spmpQ1hIERowYkT9f3fP29OnTJRwhuU2XLl2aK0ufPn2c169fhw5sS+Aryuynn34KlZc3yheIuk8weW+lUY/u9eA+ajRinLRmzZrQvvoBSNopyox7q7TVOT4CCCCAAAIIIIAAAggg8K8AgS/OhJoTcNcicTtG9LhhwwZr6mlj4OvHH38MdQo1NTVZY0ZBkhfQWj3ea0TPazH2fz4HAAAgAElEQVRpZJRbT9X5yZMnVVfNqPWLnj17VnX1oMDxBLT+kHvOuo9XrlyJt3OCW509ezZfjnPnzkUe2ZbAV9RaSlmNkouEqoE3s7630n2cez24j5oKNk6KCkC9ePEizq4VbcO9VUV87IwAAggggAACCCCAAAIIVCRA4KsiPna2USDYEacOkh07dlhTVBsDX1og3u1Ich+XLFlijRkFSV4guCaOqamfkq9J8SMOHz48f27ru6EaU79+/fJ1cK9PTYFIqk2B4HpEavN79+4ZreyrV68cjfJS3hr1VSgF/97u3Lmz0Kapvj9z5szQNXLixIlU86y3gwfbWueGyXsrnVvu95/7GHfka1Tgq729PfUm5N4qdWIyQAABBBBAAAEEEEAAAQQKChD4KkjDB9UqcOTIkVDnyP79+62pjo2Br6i1MzQ1EKl2Bfr37++7ThRcqbW0d+/efB2rOZA7aNCgfD3cDt/u7u5aay7q838C8+bNC7X348ePjfq4I6gGDBjgFJsCNRgMySrwtXz58pCZRqyRkhPI+t7q6NGjoTa+efNmrAquWrUqtO/Hjx9j7VvJRtxbVaLHvggggAACCCCAAAIIIIBAZQIEvirzY28LBX7//fdQB8e+ffusKamNgS9NY+V2qLuPmzZtssaMgiQvMHToUF+bawRYLSWNkHGncxw/frxTzYEi76g19/qspbaiLn6BqE76uFO6+Y9U3iv9vXTPs9u3bxc9iC2Br6+//jpfZrfs165dK1p2PixNIOt7q0uXLoXauNAUnMGaBYPJpkY4c28VbAleI4AAAggggAACCCCAAALmBAh8mbMmJ0MC+mW82/HlPm7cuNFQ7j1nY2PgS+vHuFbu48GDB3uuDFtUrUDU1GBVW5lAwZ8/f+64UzkOHjzYeffuXWCL6no5cuRI3/VZi6PzqqtF0i2tRii738Pu49WrV9PN9P+Orunf3ICxzrvffvut6D9Ng+iWUY8LFizwbW8qYBe1/pOJqeyMNIolmWR9b/XgwQPfuabz7dixY7F0pk6d6tu3sbEx1n6VbsS9VaWC7I8AAggggAACCCCAAAIIlC9A4Kt8O/a0WMDtuHM75PRrX1uSjYGvqOl4/vjjD1vIKEcKAtu3b/d1BOpaefHiRQo5mT3k+/fvnSFDhuTqpmnatFZRtafgVIejR4+u9ipR/iICGmXl/u1yHzXNnIl08eLFUN5uGcp51GhFE2nZsmWhcpvIt97yyPLe6u3bt6E21ojDOGnMmDG+fU19h3JvFad12AYBBBBAAAEEEEAAAQQQSEeAwFc6rhw1Y4Fhw4b5OjnGjRuXcYn+y97GwFdUEOT169f/FZpnNSeg9W+CHdm3bt2q6npqzRZd66qXRkU9ffq0quvjFj7Y2bxw4UL3Ix5rUODDhw+ha3Pbtm1Gapp04EtBaBNpwoQJPjNTI3pM1M2mPLK+t2poaPC1c9wpmXU+eP/eLVq0yAgr91ZGmMkEAQQQQAABBBBAAAEEEIgUIPAVycKb1S4QXM9h4MCB1lTJxsCXpqfydgqZWv/Cmkapw4JodJe3zfVcv06v1vTp0ydn2rRpuTr16dPHMTXFWtpeL1++DLXTjz/+mHa2HD9jgf79+/vaXVMKmkh///23o+tHwdY4/4LfIXrt3W/UqFEmiu1odKe3LBMnTjSSb71lkvW91Zo1a3ztPGXKlB6b4M2bN759dJ6YmjqUe6sem4cNEEAAAQQQQAABBBBAAIHUBAh8pUbLgbMU+OWXX0IdHer8sCHZGPjStD/eTsOxY8faQEUZUhYI/np+1apVKeeY3uHnzp2bO4cVtP3zzz9jZfTTTz85ly5dirVtVhtdu3bNd23qOr1x40ZWxSFfQwJNTU2+djc1cqrU6mmqOe/fjp07d5Z6iES295ZBz7ds2ZLIcTmIXyDre6u7d+/6zjf9DespBacbNLlGIvdWPbUOnyOAAAIIIIAAAggggAAC6QkQ+ErPliNnKBC1FkRWHXJBBtsCX93d3blf+Hs7Dnfs2BEsNq9rUCD463mN9NB0gdWWVq5cmesM1UiTuEEhd0o3U1PIlWva0tLi6+hVYE+j20i1LRA1FWncgK5JGRsCXw8ePPBdI/pbdu/ePZMMdZOXDfdWwR9sqP2LpSVLlvjOj7Vr1xbbPLHPuLdKjJIDIYAAAggggAACCCCAAAJlCRD4KouNnapBQFMdeYM5tqz5sW7dOl+5Jk+enCnnkSNHfOWR2V9//ZVpmcjcjEDw1/Nq+xMnTpjJPKFcNm7cmD9/L1y4EOuo58+fz03HpvpqykdbkwJcwSncNJ0jqfYFFIBWkNP7N2zx4sXWVdyGwFdw+j0F8EnpCWR9b/XNN9/4rov169cXrWxw2tDW1tai2yf1IfdWSUlyHAQQQAABBBBAAAEEEECgPAECX+W5sVcVCBw+fNjXOaIOxOvXr2de8pkzZ/rKNW7cuEzLFFz0XR3tpPoRCHYKVtM0lxqZ6A0MaFqpYv9GjhzpeOubddC5p7Ps+PHjvvqprkePHu1pNz6vEQF3+k73HNeIxq6uLqtql3Xg6+nTp6FrZP78+VYZ1Vphsr636ujo8I1SV4BYI9Gi0rFjx3znx/Tp06M2S+U97q1SYeWgCCCAAAIIIIAAAggggEBsAQJfsanYsNoEPnz44GgtB7fTUI+zZs3KtBoaXRL8Fb9+nV6o0ybtwv76668+HxmpI5NUPwJa58p7jeh5W1ub9QD79+8PlTtYj55enzlzxup6Dho0yFfHvn37VuVUlFYjW1y4+/fv+9pf5/PBgwetKnHWga/ly5eHjHqa+s4qwCosjA33VqdPn/a1+5QpU0JTwD5+/NgXINP3p4JmJhL3ViaUyQMBBBBAAAEEEEAAAQQQKC5A4Ku4D59WuUDUVDNa28dkUrDr999/d5qbm32dMN5O+cGDBzv79u1zrl27ZmzqNU2lFexYVxBOnVqk+hHQOiTB6fRGjRoV6kS0SST4K37vtRT3uYLiNq+VpSkng3X54YcfbGoGymJAIGoaP5um58wy8NXe3p6fstS9Vr744gsDrUIWNtxbBf8OjBkzJjeqX+fFoUOHHAW63PNCI31N/aCDeyuuDwQQQAABBBBAAAEEEEDADgECX3a0A6VIUWDIkCH5zg91gqgz5NWrVynm6D90cD0KtyOm0OPUqVP9B0jhlTpmJkyY4HNReVpaWlLIjUPaLhD89bzOhS1btlhb7KFDh4bO3ULXU6H3N2zYYG39tAZZsNwK1HV2dlpbZgqWjoCCXJri0Hs+aHpcW4K2mnrTW7aff/45HYjAURXcaGho8OWtcmjdQpIZgazvrVRLTV+t6W2952Dw+cKFC53Xr18bQeHeyggzmSCAAAIIIIAAAggggAACsQQIfMViYqNqFlBHWLDjcODAgcZGVtlmp46Z8ePHhzqKqmltJ9tMa6E8wbXn1Hm4e/fuWqhaVdXh3LlzoWtTbaHRoKT6FNBo4GBn/pdffulotGY9pidPnoSmMZbP5s2b65EjszrbdG+lsug6WbNmjaNRkps2bXI0Ks3kj5y4t8rsVCRjBBBAAAEEEEAAAQQQQCBSgMBXJAtv1pqAphoMdhxqerdHjx7VWlWL1kfTGGq0QNBCo+CeP39edF8+rG0BddqNHDkydG6oM9mW0SW13QKOUyjopU5cUn0LRI0cnjx5cmbrQ2bVGoWCXhr1w/eU+Vbh3upfc+6tzJ975IgAAggggAACCCCAAAII9CRA4KsnIT6vGYG9e/eGOvU1EuzHH3+s+Q4zBTW0FkvU1FB6z9TaFzVzMtVoRTo6OhyNhgwGRj///HPn4cOHNVrr7KvV2trqaARP0F2vN27cmH0BKYEVAlGjMvWjhbNnz1pRvjQLoanqFPwLjt7WNaIfc3R1daWZPccuIsC9FfdWRU4PPkIAAQQQQAABBBBAAAEEMhMg8JUZPRlnIXDx4kWnT58+oQ5mdfZrmhz9areWkuqza9cu3yLv3s71ESNGOM+ePaulKlOXCgXev3/vNDU1ha4RnTeaQur+/fsV5sDursC9e/ccrennvSbd5+rgV7CahIBXYOfOnZHni4I/GjFYa0lrnK1atSoy4KVrZcGCBY5+2EHKVoB7q8981yX3Vtmej+SOAAIIIIAAAggggAACCEiAwBfnQd0JvHz5smBnc+/evR19XispKsinzkLVc//+/bVSTeqRgoDWR9FoEjcQ431cv359CjnW1yFbWloibeU8ceJEp729vb5AqG1sgdu3bztDhgyJPH80XWmtpDt37kTWUdeIfqzCund2tTT3Vtxb2XVGUhoEEEAAAQQQQAABBBCodwECX/V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9WjP1P3/+vNPY2BhZV42YfPnyZc3UlYoggAACCCCAAAIIIIAAAggggAACSQgQ+EpCsUaPERX4OnnyZI3WlmohYI+Au6aVt1M/6dJ5j+0+TzrwpTJfuXIlMqClqQyPHz/uq9YXX3zh69xXUOzjx4++bYIvCHwFRWr/tQJBCm655637qBGEO3fuLBoorWYd1ds7Hahbb1lcvHixmqtG2RFAAAEEEEAAAQQQQAABBBBAAIFEBQh8JcpZWwcj8FVb7UltqkeglgJfUn///r1z5MgRR9Mc7t2719H0dFEBLa35pe327Nnj3L17N1aDEfiKxVQzGyn44wZ83EcFfnTORJ1TNVNxT0VU16iRlGfPnvVsxVMEEEAAAQQQQAABBBBAAAEEEECgfgUIfNVv2/dYcwJfPRKxAQKpCNRa4CsVpP87KIGvNHXtOrbWhgsGfDRysK2tza6CGijNo0ePHNXdDf7pUTb37t0zkDtZIIAAAggggAACCCCAAAIIIIAAAnYLEPiyu30yLV3Wga/Ozk5Hndqk7ATevXvnPH36tG5GUvQkrbWo/vnnH0cuaSYCX/F1CXzFt6rmLfX3IBjo0evHjx9nWq0XL144+pdFam9vdxoaGnzBL033+ObNmyyKQ54IIIAAAggggAACCCCAAAIIIICANQIEvqxpCvsKklXgS0GFTZs25dYFmjx5sn0wNV6io0ePOmPHjg11MquDdc2aNc6rV69qXMBfvQsXLjhaa2rw4MG+DmaNrpgwYUJonSr/3uW9IvAV343AV3yrat5y0aJFvutPQa8nT54Yr5LOtx07djiDBg3yjT7T98GoUaOcX3/91fn06ZOxcrW2tvpcNPJr+fLlxvInIwQQQAABBBBAAAEE/n979/8Txb3vcfyvOb/cG384P/gLuQk/mPCDN9ySGC6h5BoIwRgjxoimHK41mGqP9IttEfVoUSP1S78QNIfSc2y1EYJe+kVb66WolChQFWsF/IIKCp+b95772TOzM7s7u/NlZ2afk5CZ3Z3Pt8dndk3m5cwggAACCCCAQBgFCL7COCsh6VPQwZf8j/7jx48nAi99+yaCr+AOhjt37iRO3Gr7dOuVK1cW5IRzcBL/aEmOx9ST7elM1q5dq6anpz3rIsGXc0qCL+dWUd3TLty5fv164MO5cuWK6d8nCd927NihNm/ebAqfGhsblTyvLqjl9OnTpvbld0puhciCAAIIIIAAAggggAACCCCAAAIIFKsAwVexzryDcQcVfC0sLKiPP/7YdEJRBwwEXw4myoNd5FZdcoss7Z5tLfvG+bk6ckxWVFQ49hCv8vJyz27NSfDl/KD+9ddfk/O0fPly5wU93NPu+/LKK6942EJxV7Vz587kHIu1XFkV9HL+/HlTH1pbW9WLFy+S3ZBwzvgbKr8fEsoGtaTeBrK5uTmopmkHAQQQQAABBBBAAAEEEEAAAQQQCJ0AwVfopiQ8HQoi+Orr61MlJSWmE4rGk8gEX/4fDy9fvlR1dXXJOWhra1M3b95MPNdLTtz+9NNPqqGhIfm5nh+50iGuy549e0zjra+vV3Ki+7XXXssYiMk+XiwEX84U5VlGMif6mJT1wMCAs8Ie7mVsX28TfHkD/PDhQ9P8iu/ly5e9qdxhLZOTk6bbGlZXV9s+91B+N/X8y7qpqclhC+53k9sDG9uW7cePH7uvmBoQQAABBBBAAAEEEEAAAQQQQACBCAoQfEVw0oLqchDBV0tLi5KQYXR0VMlVR3LVjPHkHcGX/7Mt4aOYy9UymW4fJs+zMs5Noa6u8VtkZGQkOc7a2lp169YtS5NyvKY+80vbeHHLQ4IvC7nljZqamuQ8aXu9lmOzvb3dUsavN3S7xjXBlzfaPT09pnmW0CnoxfgfA2SOMwVvqVen9ff3B9Jd+d0xHn+y3dvbG0jbNIIAAggggAACCCCAAAIIIIAAAgiETYDgK2wzEqL+BBF8pQ5XrjYynrwj+EoV8v71qlWrEuZjY2MZK//tt99McyPzJLcEjNsiYayMTZ5llulWZYuLi7bhV3d3t2uSQgVflZWVrvtejBUYf7P09quvvlqMFJ6PecOGDabfHS++X7l00ngrTf27kKl86lVf8p855LciiCX1PycU4paQQYyTNhBAAAEEEEAAAQQQQAABBBBAAIFsAgRf2YSK+PNCBF+HDh0yneQk+PL3ANRzfPLkSUcNyZU0+sS+rOU2iXFa5AS1HqPdlV6pY/3ll19MHmKye/fu1N1yfl2o4OvNN9/Mua8UUJZjQI4DLN0fGfL7smzZMpPvN998477iHGrYu3evqf2Ojo6spVOftzU0NJS1jBc7pD6HTI7Dubk5L6qmDgQQQAABBBBAAAEEEEAAAQQQQCBSAgRfkZquYDurQxE5eab/BgcHfe0EwZevvJbKHzx4oORWh0tLS5bP7N4wPo9Nbv8Vt+XKlSuJY12u+nK66Cvm9HekubnZadG0+xF8paUJ5Qd67o1rgi/3UyXPFzSayrZcgRXUIkG48TdP2ncSvG3fvt3Ub3kdxDI+Pm5qV/r7ww8/BNE0bSCAAAIIIIAAAggggAACCCCAAAKhEiD4CtV0hKszBF/hmo9C90auHDCehJaQMm7LqVOnEmN0crWXHru+NaK2kdt1ul0IvtwKBltez71xTfDlfg7099HoGuRVphJyGduW7ZmZmawD++yzz0zlgnoeotyaNbW/n376adb+sgMCCCCAAAIIIIAAAggggAACCCAQNwGCr7jNqIfjIfjyEDMGVR07dix5UlWeWzM/Px+DUVmHkOvzeN59992ki5x0Pn78uLXSHN8h+MoRrMC7p4YN8prgy/2kvPfee6bvVmlpqftKc6ihs7PT1L7cdtHJcunSJVM5OR4ePXrkpKjrfVJvDbljxw7XdVIBAggggAACCCCAAAIIIIAAAgggEDUBgq+ozViA/SX4ChA75E0NDw8nn7UjJ59zuSIq5ENz3b3XXnvNdJJbTnq7XQi+3AoGW57gyx/vxsZG03dr5cqV/jSUptadO3ea2pdndzlZbty4YSonx8fo6KiToq73ESPj8VhdXe26TipAAAEEEEAAAQQQQAABBBBAAAEEoiZA8BW1GQuwvwRfAWKHuKlvv/02GXrJ1QSzs7Mh7m3wXauqqkqeaJZQ0Onz0jL1lOArk074PjMGDXqbK77cz1NqiOM0eHLf8j9qSA3eKisrHVV9586d5G+CPh78fj6m7pg8e1G3KeugbrOo22eNAAIIIIAAAggggAACCCCAAAIIhEGA4CsMsxDSPhB8hXRiAuqW3MrQeHtDfTJ11apVamRkJKBehLuZ+/fvm04yHzx40JMOE3x5whhYJfq7YVwTfLnnLykpMX2/gg5xJOgyzml9fb2jQcltDY3lZLu7u9tRWbc71dTUWNp2WyflEUAAAQQQQAABBBBAAAEEEEAAgagJEHxFbcYC7C/BV4DYIWpqfHxctbe3J64USD15a3z99ddfh6jXhelKV1dX8iSznKSfm5vzpCMEX54wBlaJ8Xuhtwm+3POnPq9KbINcUoO3TZs2OWr+5cuXyd8FfTzIb2oQizx/Ubep17k+tzCIftIGAggggAACCCCAAAIIIIAAAggg4KcAwZefuhGvm+Ar4hOYZ/ftrhjQJ1CNazkp/eDBgzxbiX6xhYUFJbde0yZe3sqM4Ctax4c+Boxrgi/3c2j01NsvXrxwX7HDGnSber1t2zaHJVXyd0GXbWtrc1zWzY5yu1Xdpl57Fci76RdlEUAAAQQQQAABBBBAAAEEEEAAgSAFCL6C1I5YWwRfEZswj7orJ5afPn2qfv/9d/XDDz+oo0ePmgIefTJV1q+//rpHrUavmr/85S/JE8xbt271dAAEX55y+l6Z8Tuhtwm+3LHbXTUlttPT0+4qzqG03FpRz6esW1paHJc2lpPt7du3Oy7rZke7q+Tu3bvnpkrKIoAAAggggAACCCCAAAIIIIAAApETIPiK3JQF12GCr+CsdUvy7Kw33njDt798b08oJ6F7enpMJ4H1id0nT57o7hfNemJiImlRXV2t5OovLxeCLy81/a9LfxeMa4Ivd+4Svhs99bbcijWoJfW2gY2NjY6atgvt9u/f76is2520k3Etv1csCCCAAAIIIIAAAggggAACCCCAQDEJEHwV02znOFaCrxzBPNjdLvAwnsB0uy31u1nOnTtnORk9PDzspsrIlZUT8hUVFQkHudXh7Oys52OwOw68bsTuWCKsyU8Zy/zcMpVKF3zJv0tBLfX19abfu9WrVztqWn4TUo+J7u5uR2Xd7JTOLMiw0E3/KYsAAggggAACCCCAAAIIIIAAAgh4JUDw5ZVkDOsh+Ap+Uu0Cj9QTqG5euw2+RKSurs50Ure3tzd4qAK1uLi4qNavX58Yv9wGza8TynbHgddDtjuOCL7yU8YyP7dMpdKFON99912mYp5+1tzcbPqtk8DbyTI5OWkqJ8dHf3+/k6Ku9pFbGtodi379TrnqLIURQAABBBBAAAEEEEAAAQQQQAABHwUIvnzEjXrVBF/Bz2BfX5/asGGDb39enHz96quvTCdXOzs7g4cqUIvvvPNOYuzyHJ1r16751guCL99ofanYLmwgRHRHnS74GhwcdFdxDqV3795t+q0rLS11VFpuWZt6TARxZezY2JilXekHwZejaWMnBBBAAAEEEEAAAQQQQAABBBCIkQDBV4wm0+uhEHx5LRqP+kZHR00nVyWsK4alq6srOe4ffvjB1yETfPnK63nlqSGHvCb4csecLvg6f/68u4pzKJ0a8su8ylWf2Rb5Dwapx4Qft0RN7Ydd4Cb9IPhKleI1AggggAACCCCAAAIIIIAAAgjEXYDgK+4z7GJ8BF8u8GJc9Pbt26aTuj///HOMR/uPofX09CTHfPHiRd/HS/DlO7GnDaSGHPKa4MsdcRiCL7s+TExMZB1Y6pVia9asyVrGix0IvrxQpA4EEEAAAQQQQAABBBBAAAEEEIiDAMFXHGbRpzEQfPkEG/Fqh4aGkiGQnOCfm5uL+Igyd//MmTPJ8coVIE6Wy5cvKzdXwhUq+Nq8ebOT4bFPioBd8IVlClKOL+1CJ3EO8oov6fKmTZuS339pX34Psi2rVq0ylXHzW5CtLePnBF9GDbYRQAABBBBAAAEEEEAAAQQQQKCYBQi+inn2s4yd4CsLUJF+fOTIkeRJ3Y0bN8ZaQZ4npEONU6dOORqr3NJs+fLlqrGx0dH+djsVKvh65ZVX7LrDe1kE9DFiXGOZBS3Lx2EJvlJvd9jc3Jyx548fP07+ZujjQcYSxELwFYQybSCAAAIIIIAAAggggAACCCCAQBQECL6iMEsF6mMhgq+DBw+aThpu2bKlQKOnWTsBOYEroY4+oXvz5k273WLx3qVLl5Lj/OijjxyNaWpqSumrPQYGBhyVsduJ4MtOJbzv6e+DcU3w5W6+whJ8pfZj2bJlKlOQdfbs2eTvhhwP2YIyd0rm0gRfZg9eIYAAAggggAACCCCAAAIIIIBA8QoQfBXv3GcdeSGCr9bWVtNJQzdXzWQdIDuoZ8+eJZ5FVF5erpqamtTw8HBGlXfffTc5Pzt27Mi4b5Q/FAc5wa2DjLVr16psf5WVlcn9S0pK1MuXL/MmIPjKm64gBfVxYlwTfLmbitTASdsGfatDGcWJEyeS323ph1z1arcsLS2piooK075B/ucAgi+7WeE9BBBAAAEEEEAAAQQQQAABBBAoRgGCr2KcdYdjDjr40reI0yc4ZS0BQqb/Xe9wKOyWRqCnp8d0klbMt27dquTKJeOysLCgjKFkS0uLq2DHWHfYtn/55RdT6GU8Hp1u792719WwCL5c8QVe2O64IPhyNw1hCr4WFxdVbW2t6bfy2rVrlgHu37/ftM8nn3xi2cfPNwi+/NSlbgQQQAABBBBAAAEEEEAAAQQQiJIAwVeUZivgvgYRfEnY9e2336qurq5EyGV3Armqqkr19fUlrkaS/Vm8E/jss89MJ2qN/nKLro6OjsSVYPr2hnIV1IcffqjkyoY4LpOTk6ZbORo9ctm+e/euKx6CL1d8gRe2OzYIvtxNQ7rg6+LFi+4qzrO09Ke+vj75eym/hd3d3Yn/JCBXdRn/Y4AcD0ePHs2zpfyLSWhvdyyOj4/nXyklEUAAAQQQQAABBBBAAAEEEEAAgQgKEHxFcNKC6nIQwdeBAwdsT9TZnbyT94J8XkpQzoVs5/Hjx6qmpibrHJSVlSVCsIcPHxayu763LUFfumPP6fsNDQ2u+0nw5Zow0Arsjg2CL3dTkC74unHjhruKXZR+8eKFOnz4cMZwXG55Wqhwbnp62vb3i+DLxaRTFAEEEEAAAQQQQAABBBBAAAEEIilA8BXJaQum00EEX8GMhFayCcgtso4fP67a29vVzp07E+tjx46pL7/8Ut27dy9bcT73WIDgy2NQn6sj+PIeOF3wNTMz431jOdYoz0YcHBxMPPurra0t8Xspt43N9ozEHJvJeXd5rqDdsUjwlTMlBRBAAAEEEEAAAQQQQAABBBBAIOICBF8Rn0A/u0/w5acudSOQXoDgK71NGD+xCxu44svdTM3NzdmGOHG9zao7rX+W1relNR6Tt27d+ucObCGAAAIIIIAAAggggAACCCCAAAJFIEDwVQSTnO8QCb7ylaMcAu4E/A6+FhYWbEMFwpr85s0YMujtf//3f8+vMkolBCYmJizHaElJCTpZBMrLyy1u8hxNFgQQQAABBBBAAAEEEEAAAQQQQKCYBAi+imm2cxwrwVeOYOyOgEcCfgdfY2NjlpPjEtj853/+p0cjKK5qdNhlXP/bv/1bcSF4PFp5TpbRU7arqqo8biV+1dXX11vc5DaMLAgggAACCCCAAAIIIIAAAggggEAxCRB8FdNs5zhWgq8cwdgdAY8E/A6+vv76a8vJcQkW6urqPBpBcVWTGtDI63/9138tLgSPR/vJJ59YjtGNGzd63Er8qrP77ZD3WBBAAAEEEEAAAQQQQAABBBBAAIFiEiD4KqbZznGsBF85grE7Ah4J2J289qjqRDWHDx+2hAoS1mzZssXLZoqmLrvgS957+PBh0Rh4PdC33nrLcox+/PHHXjcTu/quXbtmcSMwjN00MyAEEEAAAQQQQAABBBBAAAEEEMgiQPCVBaiYPyb4KubZZ+yFFPA7+Fq3bp3l5Pgf/vAHJYEYS+4Cf/zjHy2eEnwNDg7mXhkl1OLioiotLbWYTk1NoeNAoKyszGI3NzfnoCS7IIAAAggggAACCCCAAAIIIIAAAvEQIPiKxzz6MgqCL19YqRSBrAJ+Bl+jo6OWk+IS0hw5ciRrv9jBXuDly5eqpKTE4lpdXW1fgHczCtg932vVqlUZy/DhPwX2799vORa7u7v/uQNbCCCAAAIIIIAAAggggAACCCCAQMwFCL5iPsFuhkfw5UaPsgjkL+Bn8NXU1GQ5Kb5y5Uol4Q1L/gKnT5+2uEqg+O233+ZfaZGWbGxstFieO3euSDVyH/atW7csfuXl5blXRAkEEEAAAQQQQAABBBBAAAEEEEAgogIEXxGduCC6TfAVhDJtIGAV8YQLZAAAIABJREFU8Cv4Ghsbs5wQl3Dmxx9/tHaCd3ISkNvzyVVJ4mn8q6mpyameYt/53r17Jj+xlNBmaWmp2GlyGn9DQ4PF8erVqznVwc4IIIAAAggggAACCCCAAAIIIIBAVAUIvqI6cwH0m+ArAGSaQMBGwI/gS57xU1FRYTkZ3traatOD4N96/vy5Gh8fVzMzM6bG5Uo0ebbT9PS06f0wvpArbZYtW2YxPnr0aBi7G7o+yVyvWbPG4kcwm/tU3blzx+IoASLP+srdkhIIIIAAAggggAACCCCAAAIIIBA9AYKv6M1ZYD0m+AqMmoYQMAl4HXzNzs6q2tpay4nwyspK9eTJE1PbQb6QkGvfvn1qxYoVpr7Jre4kBJP+6aunmpubg+xa3m1dunQp2Wfdd1l//PHHedeZqeCOHTuU3KrSz79Dhw5l6oJnn7W1tVnszpw541n9xVZRT0+PxXPdunVKrk5kQQABBBBAAAEEEEAAAQQQQAABBOIsQPAV59l1OTaCL5eAFEcgTwGvgi+5gubrr79WJSUllhPgq1evLtjVH3Lbuq6uLlOf5MozuTKqpaUl8X5paanp81OnTuWpGXyxK1euWMI8Cb82btyoJiYmPO3Q2rVrTU7GsM2rbbkKy+/FLqThSjn36hIspx4Hu3fvdl8xNSCAAAIIIIAAAggggAACCCCAAAIhFiD4CvHkFLprBF+FngHaL1YBN8GX3BZQQqWdO3faBl5yEryzs1NJKFaI5fHjx8r4/CG5Uik1DDpy5IjlZL2MK0rL06dPlYR5qaGDvK6rq1Pt7e3qq6++cj2kqAdfEoLahV67du1ybUMF/xDYs2eP5TiU9xYWFiBCAAEEEEAAAQQQQAABBBBAAAEEYilA8BXLafVmUARf3jhSCwK5CrgJvgYGBiwnuSVskWdPvf3222pycjLX7ni2v9xW0Xj7Qnnm2KNHjyz1j46OmsYgt0KM6jI4OKjq6+tN49Fh2PLly10P67vvvlMfffSRr39y1aDXy/z8vJJjtaamxmQjV/rJ+yzeCpw/f97y/Dn5XvX29iq5FSoLAggggAACCCCAAAIIIIAAAgggECcBgq84zabHYyH48hiU6hBwKOB18FVWVqaOHTumHj586LAH3u8mV5dUVVUlQw4J4u7evWvb0M2bN5P7SUj05ptv2u4XlTevX7+evIWjDr1k7UXwFRUDYz/l+W1GB70tV8E9e/bMuCvbHgrIVZP6VqLaXK+///57D1uiKgQQQAABBBBAAAEEEEAAAQQQQKCwAgRfhfUPdesEX6GeHjoXYwE3wVfq1VL6xLZet7W1FeTZXtKu7oOsz549m3YGh4aGTPvK1SpRXH7++WfTFW7G8cu2XN1UjMuNGzdM8ysWEsg8f/68GDkCH/OBAwcs/lxlF/g00CACCCCAAAIIIIAAAggggAACCPgoQPDlI27Uqyb4ivoM0v+oCrgJvmTMchu5W7duqcOHDyfCldTApaSkRF29ejUwngsXLphOtNfW1mZsu6Ojw7S/PBfMbhkbG1N9fX3q/fffVx9++KGSq1bk2VqFXuS5Valj0HOwZs0aJUHeb7/9pmS/YlzkyiPjLS+1jRyXn3/+eTGSBDJmucJy/fr1pu+W2MuVmPJdYkEAAQQQQAABBBBAAAEEEEAAAQTiIkDwFZeZ9GEcBF8+oFIlAg4E3AZfxiZevHih3nvvPcvJbjnhLc+f8nt5+fKlklst6nBD1iMjIxmbNd4SUQKS1EWCsHS3bJP6z5w5k1oksNcy3q1bt5rGK32S2xrK87hY/ikg4d+uXbssVjK33PLwn05ut+Q34NChQxbnN954Q92/f99t9ZRHAAEEEEAAAQQQQAABBBBAAAEEQidA8BW6KQlPhwi+wjMX9KS4BLwMvrRcb2+v5cS3BDLDw8N6F1/Wqe2uXr06Yzty5Yn0S//J1VzGRYKlioqK5Od6v9R1d3e3sVhg262trZa+yS0Nf//9d1/6IFe5yVVvfv75HdjJMSjPfDPOYXl5uZqdnfXFrJgqXVxcVBs3bjTZivPly5eLiYGxIoAAAggggAACCCCAAAIIIIBAkQkQfBXZhOcyXIKvXLTYFwHvBPwIvqR3drffk9vLzczMeNf5lJpSQ6pz586l7GF+uXnzZtNJ+osXL5p20M8nklsGypVjcmXQ7du31cmTJy3hSdBXDUn4ZAxv9Pb4+LhpDF6+WLt2rW2bum0v1mLt9yIBXmpf5Wq/MNy60u+x+1n/22+/bXGN6jPz/HSibgQQQAABBBBAAAEEEEAAAQQQiJcAwVe85tPT0RB8ecpJZQg4FvAr+JIgSG65lxowyK35/FgmJyctbT1//jxtU6lXe0k/5+bmkvvL1V5yZVBdXZ2S7dRFgjDj2IaGhlJ38e31gwcPLMGb9OXdd9/1rU2pOC7Bl4ylp6fHNH/iJ8+kYslPQMJg4/dBtuWWhywIIIAAAggggAACCCCAAAIIIIBA3AUIvuI+wy7GR/DlAo+iCLgQ8Cv4ki51dXVZTobLCfHR0VEXPbYvevz4cVNb69ats9/x/99tamoy7S/P+jIucss96evdu3eNb5u2m5ubk3Xs2bPH9JmfL+yeVSV9lUDMz2XHjh2JMFMCTb/+tmzZ4ucQTHW3tbUl50/85O/vf/+7aR9eZBeQ0Ff76fVrr72WvSB7IIAAAggggAACCCCAAAIIIIAAAjEQIPiKwST6NQSCL79kqReBzAJ+Bl9y6zi7q778OCkuoYw+6S7rzs7OtAO/fv26aV/ZP/X5XqdPn1YSjGRajh07lqynvb09066efSa3ijSOU2+/9dZbnrVRLBU9efLEYinHK7c8dH4ELC0tKXlGmj4O9Xpqasp5JTZ7Tk9PJ77DjY2NSp7dZ3fVpU0x3kIAAQQQQAABBBBAAAEEEEAAAQQCFyD4Cpw8Og0SfEVnruhpvAT8DL5Eyu6qGrmFYKbbEOYjnHobPnkGlt0iwdGKFSssJ+oHBgaSu9+5cye5nWmju7s7Wc+pU6cy7erZZ9KODheMa7l1I0vuAq2trRbPv/3tb7lXVKQlzp49a/HLdrWlE6rU5/Xt27fPSTH2QQABBBBAAAEEEEAAAQQQQAABBAIXIPgKnDw6DRJ8RWeu6Gm8BPwOvozhkDGouXDhgqeQNTU1phPwdsHX/Py8qq6uTuxXWVlp2n92djbRH+3h5LaBcpWXHtP9+/c9HU+6yuQKGN2mcc0VMenEMr+f+qw2MeVZX5nNjJ+mfu/Eb3Bw0LhLztvXrl2zHOMShLEggAACCCCAAAIIIIAAAggggAACYRQg+ArjrISkTwRfIZkIulF0AjroMYYoXiJ8//33lpPY0tbJkye9bEbJ7RONY5AreYzL3Nyc2rBhQ2Kfd955RzU0NCT3lyvAZNm7d2/ivY6ODmPRtNsrV65M7L9x48a0+3j9QVlZWbLfery6/163VSz1rVq1ymL66NGjYhl+3uO0u+1maWmpWlxczLtOKSjPANTHtl7L7RRZEEAAAQQQQAABBBBAAAEEEEAAgTAKEHyFcVZC0ieCr5BMBN0oOgG/g6/ffvvNchJbTmb/93//t6fWR48etbTT1dWlfv75Z9XT06PkhLy0u3Xr1sSJef1a3pPnOjU3Nyc+37Jli5LnFmVbhoeHk+25fZ5RtraMn//Lv/xLsl0dCvzXf/2XcRe2cxQwXrmnTeUZbyyZBcRIe+l1S0tL5kIOPpXgrLa21lS3POeLBQEEEEAAAQQQQAABBBBAAAEEEAijAMFXGGclJH0i+ArJRNCNohPwO/gSUH1S3Lh+5ZVXPLWWK3Tk2WHGNlK3t2/fnrwaRcKu1M/lFncLCwtZ+yUn5quqqhLl5VaOQS6pfZbX//Ef/xFkF2LXlt1z09asWRO7cXo9oB07dli+QwcOHPCkGXkG4Pnz59Wnn36qpqenPamTShBAAAEEEEAAAQQQQAABBBBAAAE/BAi+/FCNSZ0EXzGZSIYROYG4BF8Cf/Xq1cTVW6nhkNwKsL+/3zQ3mzZtMp20l1DM6XOyTpw4kSjb1tZmqjOIF6ljk9deh4hBjCNMbdjdjpPbR2afIQmKU49Hu2frZa+JPRBAAAEEEEAAAQQQQAABBBBAAIHoChB8RXfufO95oYMv+d/lT58+9X2cxdCAPEtJnv3i5HZxxeDh5Rjv3bun5M/LYzVOwZdYz8/Pq3Pnzim5zeHnn3+uRkZGbAMtOU5lP7mF2tjYmONpGhoaSpzsb2xstK3XcUV57pgaNBB85QlpKHb37l1LgCNXD4ZtmZ2dVfIXlsXu2Wg//fRTWLpHPxBAAAEEEEAAAQQQQAABBBBAAIFABAi+AmGOZiOFCr6ePXum5NlActszebYPS+4CYnjo0CElQYDxuUlyQn7lypXqL3/5SyKsyb1mShgFJKDRoYeXt9eLW/BlNPN6+5dffkncTrGuri4RsHldv5P69DFgXHPFlxO59PtIkGz01Nvy21bIRfr12WefqcrKStNtPCWUk1sxXrhwoaD/wcDudqHj4+OFJKNtBBBAAAEEEEAAAQQQQAABBBBAIHABgq/AyaPTYNDBl1zhdfz4cdNt0Qi+cj9erly5ouSWYPpEcbq1nKj94osvcm+AEgmB27dvm058E3wFf2D8+uuvid8LCSG8vOIu15HYfccIvnJVNO+fLvi6c+eOeccAX8lvqzFYkt9ZeabW5s2bTb+38h8O5OrFoBe5LajdsUjwFfRM0B4CCCCAAAIIIIAAAggggAACCBRagOCr0DMQ4vaDCr4WFhbUxx9/bDqhqE/eEXzldoCcOXPG9sSn9rRby63nWHITkBPM1dXVJmuCr9wM3e4tt5eUqxnlCsaHDx/aVie39uzo6PA9hLD7XhF82U6J4zfTBV/y71IhlvPnz5u+762trerFixfJrkxMTJiurq2oqAg8jL1//76pj/q4JPhKThMbCCCAAAIIIIAAAggggAACCCBQJAIEX0Uy0fkMM4jgq6+vT5WUlNierJOTdgRfzmfuwYMHpiuQJBRoampSb7zxhmpoaLANFvWJUTlpy+Jc4ODBg5ZjluDLuZ/bPeV5dWVlZYkrG3///fe01X344YeJMMLvZ9vp75FxTfCVdlocfZAu+BoYGHBU3sudJicnTb+tEnpL+J263Lx50/S7IL+/QS7Xr183ta+PR4KvIGeBthBAAAEEEEAAAQQQQAABBBBAIAwCBF9hmIWQ9iGI4KulpUXt2bNHjY6OqtnZWVVeXm46cUfw5fzg2LBhQ9Luk08+sZyYlRO1hw8fTu6jT4rKuq2tzXlDRb7n8PCwrSHBVzAHxpMnT5RcTSPHbW1trXr99dctf/K7oZ9t19nZ6XvHjN8lvU3w5Y49XfAlV14Fvcjz4/S8yvry5ctpu7Bz507Tvv39/Wn39fqDkZERU9u6zwRfXktTHwIIIIAAAggggAACCCCAAAIIhF2A4CvsM1TA/gURfKUOTwIYfbJO1gRfqUL2r+V5U9qtt7fXfqf/f/fChQvJfXUZeW4NS3YBORmvn58mz0jTfrKOQ/D16quvZkco4B7Pnj1TNTU1JnfjHNhty+3f/F7s2pXnjrHkLxCW4EueI2ecX7m1ZqYl9aov+c8ci4uLmYp49hnBl2eUVIQAAggggAACCCCAAAIIIIAAAhEXIPiK+AT62f1CBF+HDh0ynWQk+HI2wydPnky4NTc3OyogrsaTubItJ5pZMgvIc33ESk5mS9BlNIxD8PXmm29mBijwp3LrQqN5tu3169cH0mO7foTdMhAYF42EJfjau3ev6ZiTZ8ZlW3Q4ro+LoaGhbEU8+ZzgyxNGKkEAAQQQQAABBBBAAAEEEEAAgRgIEHzFYBL9GgLBl1+y3tdbX1+fODnr9Fldg4ODppO5coLWaVnvex+NGuUWa/pE9i+//KLkyjr9WtYEX9GYRz96aTwO9DbBlzvpMARfcqVW6jMov/nmm6wD2759u+m3QV4HsRB8BaFMGwgggAACCCCAAAIIIIAAAgggEAUBgq8ozFKB+kjwVSD4PJqV5xnlcnWc8daI+kT9o0eP8mi5OIr8/vvvSm4HKVbHjh1LDJrgqzjm3sko9XfIuCb4ciKXfp8wBF8SchnnVLZnZmbSd/r/P/nss89M5YK6lSzBV9apYQcEEEAAAQQQQAABBBBAAAEEECgSAYKvIpnofIZJ8JWPWuHKLC0tOW489aSyPK+KxV5AXNesWZM4kV1XV6e0M8GXvVcxvpsajshrgi93R0Lqb5Q2lisvg1o6OztNAZbT38lLly6Zyknfg/iPBQRfQR0ZtIMAAggggAACCCCAAAIIIIAAAmEXIPgK+wwVsH8EXwXE97lpua2hPpEs69WrV/vcYnSr189Pk5Pe9+7dSw6E4CtJUfQbxu+S3ib4cndYpAu++vv73VWcQ+mdO3eafifl2V1Olhs3bpjKyTExOjrqpKirfQi+XPFRGAEEEEAAAQQQQAABBBBAAAEEYiRA8BWjyfR6KARfXouGp76hoSHTiVkJcVisAmNjY0mnM2fOmHYg+DJxFPULHXYZ1wRf7g6JdMHXd999567iHEo3NjYmv/8yt5WVlY5K37lzx1ROyspzFf1eCL78FqZ+BBBAAAEEEEAAAQQQQAABBBCIigDBV1RmqgD9JPgqAHpATe7YsSN5YlauZJKTzCxmgYWFBVVRUZFwam5uNn+olCL4spAU7RvGwEtvE3y5OxzSBV8S7gS1SNCl51PW9fX1jpqW2xoay8l2d3e3o7Judrp586alXWl7fHzcTbWURQABBBBAAAEEEEAAAQQQQAABBCInQPAVuSkLrsMEX8FZB9nSixcvlIRd+sTsiRMngmw+Mm3t3r07YVRSUqIeP35s6TfBl4WkaN/Q3yXjmuDL3eGQLviS27QGtch33zinmzZtctT0y5cvTeWkjvb2dkdl3ew0NTVlaVfaJvhyo0pZBBBAAAEEEEAAAQQQQAABBBCIogDBVxRnLaA+E3wFBB1wM6dPn06eHJUrGhYXFwPuQfib+/7775NGly5dsu0wwZctS1G+aQxH9DbBl7tDYX5+Pvkd1KaynpmZcVdxDqWN7cr2tm3bHJdOLdvW1ua4bL47zs3N2ZoRfOUrSjkEEEAAAQQQQAABBBBAAAEEEIiqAMFXVGcugH4TfAWAHHATs7Ozpqu95BlWLGYBuU2ZvtJDrvpKtxB8pZMpvvdTQw55TfDl/jiwc5VbkAa1LF++3BQktbS0OG46te/bt293XDbfHZeWlkz91X24fft2vlVSDgEEEEAAAQQQQAABBBBAAAEEEIikAMFXJKctmE4TfAXjHGQrr7/+evLEaH9/f5BNR6atpqamhFF5ebnKdJKd4CsyU+p7R3XAYFwTfLlnN96SVdu6r9V5DfIboNuVdWNjo6PCdrc63L9/v6OybndKDeuk39PT026rpTwCCCCAAAIIIIAAAggggAACCCAQKQGCr0hNV7CdJfgK1tvv1v72t78lT+IeO3bM7+YiWX9fX1/SaHR0NOMYCL4y8hTVh8ZwRG8TfLk/BEpLS5PfR3GVUCfIpb6+3tT+6tWrHTUvV9bq40Cvu7u7HZV1u9OKFSssbcstEFkQQAABBBBAAAEEEEAAAQQQQACBYhIg+Cqm2c5xrARfOYKFePcff/wxeTI0iGfNhJgibdfu37+fvA1kQ0OD+uabbzL+yW0Q9UltWYursczU1FTatrJ98MEHH5jqlvq9Xox919uENfkpaz/jGsv8LI2lVq5cafoeSKgT5NLc3Gxqv6KiwlHzk5OTpnJyXAR1ha08t9F4HMo2z3F0NG3shAACCCCAAAIIIIAAAggggAACMRIg+IrRZHo9FIIvr0ULU9+vv/6auFJCToBu3bpVyXNgWKwCxnAw9cRxPq9ra2utjTh8h+DLIVRIdrM7Pgi+3E9OTU2NKcSRK8CCXFLDbaftj4yMmPotx8fw8HAgXZffndTjMZCGaQQBBBBAAAEEEEAAAQQQQAABBBAIkQDBV4gmI2xdIfgK24zk3p8HDx4ofeurDRs2KHn2DIu9gNfBV3V1tX1DDt4l+HKAFKJdUoMGeU3w5X6CWltbCxrifPXVV5b2nVw9JVd3pR4TcvvDIBa5WtXYdtBXyQUxRtpAAAEEEEAAAQQQQAABBBBAAAEEsgkQfGUTKuLPCb6iPfkPHz5U5eXliZOg8qyahYWFaA/I597fuXNHlZSUJG53uGzZsqxr48llvW0st2bNmrx7TPCVN11BCur5N64JvtxPxcmTJ00hjvgGFSBJ758+fWppf2JiIuvAUq8Uc/NbkLWxlB1Sb3W4du3alD14iQACCCCAAAIIIIAAAggggAACCMRfgOAr/nOc9wgJvvKmK3jBubk5pU+AVlVVJU7gZuuUXA128OBB5ebZVNnaiNPnvb29ppPi3d3dng2P4MszykAqMgZeepvgyz39999/b/qOie2NGzfcV5xDDZs2bTL14cyZM1lLr1q1ylSmr68vaxmvdpDwXR+Dsn7rrbe8qpp6EEAAAQQQQAABBBBAAAEEEEAAgcgIEHxFZqqC7yjBV/DmXrQ4Pz+v6urqEic/5YqvR48eOar20KFDiTJBn1h21LkQ7kTwFcJJKVCXjEGD3ib4cj8ZcnWX9tTrwcFB9xXnUEPq7Q6bm5szln78+LGlz3LlWBCLXOWrnfT6008/DaJp2kAAAQQQQAABBBBAAAEEEEAAAQRCJUDwFarpCFdnChF8yRVH+oSdrLds2RIulJD3Rq7aWr9+fcJQnu0iz/jKtsgza+TkqHjLlQoszgQIvpw5FcNext8svU3w5c3Ml5WVmf5N6Ojo8KZih7Wk3u5QrqjKFGSdPXvW1N9sQZnDbjjabXh42NS2HIvXrl1zVJadEEAAAQQQQAABBBBAAAEEEEAAgTgJEHzFaTY9Hkshgq/W1lbTibvGxkaPRxXf6iTAkqBQn3hfuXKlkue7ZPqTK8PkuVa6jJe364uv9D9GRvAV9xl2Pj79/TGuCb6c+2Xac9++fcnfJ/GV3ysJ+INcTpw4YerDkSNHbJtfWlpSFRUVpn1v3rxpu68fb546dcrU9vLly5X0iQUBBBBAAAEEEEAAAQQQQAABBBAoNgGCr2Kb8RzGG3TwJbe1khN1xpPHcpIz0/+uz2E4sd/1jTfeMNkZHZ1uy7PBWJwJxDH42rx5s7PBs5dJwO779ac//cm0Dy/yExgbG7P8rg0MDORXWZ6l5D8V1NbWmvphdyXV/v37Tft88sknebaYezEJuOTWtsZjsaWlJfeKKIEAAggggAACCCCAAAIIIIAAAgjEQIDgKwaT6NcQggi+JOz69ttvVVdXl+nKI+PJu6qqKtXX16fkNk6yP4tV4L333jOd8DT6Od3etm2btWLeSSsQx+DrlVdeSTtePkgvYPcdwzK9V66fyNWrRmO5nWvQi/wHjPr6+mQ/5JaHcoXs1NSUkqu6Uq9WPnr0aKBd7O/vT/ZNW3399deB9oHGEEAAAQQQQAABBBBAAAEEEEAAgbAIEHyFZSZC2I8ggq8DBw5YTtbpk3Z26yCflxLCKbHtktz2y84q1/euXr1qWz9v2gvISWWj8ZkzZ+x3zOPdDz74wFS3tOP1Yuy73iasyU9Z+xnXWOZnaVfqr3/9q+X7IIFT0MuLFy/U4cOHLVcmG+e9srJSXbx4MeiuKWnX2I/S0tLAbwkZ+KBpEAEEEEAAAQQQQAABBBBAAAEEEEgjQPCVBoa3lQoi+MIZAQSsAgRfVpMwv2MMHPQ2wZd3Mya3Gky9jd+aNWsK9vyqZ8+eqcHBQSXP/mpra1Pt7e2qp6cncVWyd6N2XpPc+lEfd3od5G0WnfeUPRFAAAEEEEAAAQQQQAABBBBAAIFgBAi+gnGOZCsEX5GcNjodAwGCr2hNog4bjGuCL2/ncGhoyBLuHDt2zNtGIljb5cuXLS4rVqxQz58/j+Bo6DICCCCAAAIIIIAAAggggAACCCDgjQDBlzeOsayF4CuW08qgIiBA8BWBSTJ00Rh46W2CLwOQR5upz9ES69OnT3tUe/SquXTpkiX0EhN5HiYLAggggAACCCCAAAIIIIAAAgggUMwCBF/FPPtZxk7wlQWIjxHwSYDgyydYn6rVYZdxTfDlPbY8z7ChocES9nz00UcFu+2h96N0VmO60Ovo0aPOKmAvBBBAAAEEEEAAAQQQQAABBBBAIMYCBF8xnly3QyP4citIeQTyEyD4ys+tUKWMgZfeJvjyZzbm5ubUqlWrLOFXXV2dun37tj+NhqjWiYkJtW3bNsv45bg7cuRIiHpKVxBAAAEEEEAAAQQQQAABBBBAAIHCCRB8Fc4+9C0TfIV+iuhgTAUIvqI1sTrsMq4Jvvybw/n5ebVjxw7b8OfPf/6zGh8f96/xAtV88+ZN1dzcbDvmZcuWqd7e3gL1jGYRQAABBBBAAAEEEEAAAQQQQACB8AkQfIVvTkLTI7vgq6amRm3atMn279y5c6HpOx1BIOwCPT09tt8j+X4ZAxS97fV4dL3GNWFNfspGQ72NZX6WuZSSf3NKS0ttvy+dnZ25VBXqfU+dOmU7RjnWmpqa1P3790PdfzqHAAIIIIAAAggggAACCCCAAAIIBC1A8BW0eITaswu+9Eldu/XBgwcjNDq6ikBhBaqrq9OezLb7fnndW7s2CGvyU8YyPzcvSslzv86ePauqqqpM36ft27d7UX0o6pB/W43HWElJiXr//ffV5ORkKPpHJxBAAAEEEEAAAQQQQAABBBBAAIGwCRB8hW1GQtQfeZbIxo0bHf/JyUcWBBBwJtDe3u74uyVXdXi9GE+k622Cr/yUtZ9xjWV+lm5KzczMqPPnzydCoTNnzripKlRlh4eHVVtbm/ryyy/V3bt3Q9U3OoMAAggggAACCCCAAAIIIIAAAgiEUYDgK4yzQp8QQAABnwWMIY3eJqzJD137GddY5mdJKQQQQAABBBBAAAEEEECKo3p6AAANcklEQVQAAQQQQAABBNwKEHy5FaQ8AgggEEEBY0ijt1999dWCjeT58+dqfHxcyVU7xkVuZTc1NaWmp6eNb4dqW/sZ14W0DBUOnUEAAQQQQAABBBBAAAEEEEAAAQQQQCBgAYKvgMFpDgEEEAiDgDGk0dtvvvlmoF2TkGvfvn1qxYoVpmcYNTY2JkKwysrK5PvNzc2B9i2XxrSfcR20ZS79ZV8EEEAAAQQQQAABBBBAAAEEEEAAAQTiLEDwFefZZWwIIIBAGgFjSKO3gwprlpaWVFdXVzLUkvZbW1vV0aNHVUtLS+L90tJS0+enTp1KM5LCv639jOugLAs/enqAAAIIIIAAAggggAACCCCAAAIIIIBAuAQIvsI1H/QGAQQQCETAGNLo7SDCmsePH6uGhoZkqLVy5Uo1MTFhGvORI0eSn+u+ye0Ow7roPhrXQViG1YN+IYAAAggggAACCCCAAAIIIIAAAgggUEgBgq9C6tM2AgggUCABY0ijt/0Oa548eaKMty+sqKhQjx49sgiMjo6agi+5FWKYF+1nXPttGWYP+oYAAggggAACCCCAAAIIIIAAAggggEAhBQi+CqlP2wgggECBBIwhjd72M6xZWFhQVVVVyUBr2bJl6u7du7ajv3nzZnI/6Zuf/bLtQI5vaj/jOux9znGI7I4AAggggAACCCCAAAIIIIAAAggggEBkBAi+IjNVdBQBBBDwTsAY0uhtP8OatrY2U5h19uzZtIMZGhoy7Xv+/Pm0+4bhA+1nXPtpGYYx0wcEEEAAAQQQQAABBBBAAAEEEEAAAQTCKkDwFdaZoV8IIICAjwLGkEZv+xXWXLhwwRRk1dbWZhxZR0eHaX95LpjdIs/96uvrU+3t7Wr//v3qf/7nf2xvnWhX1sv3tJ9x7Zell/2mLgQQQAABBBBAAAEEEEAAAQQQQAABBOIoQPAVx1llTAgggEAWAWNIo7f9CGtevnypysrKTEHWyMhIxt4Zb4kozwRLXaTO1HBMj0HWg4ODqUV8fW1sW2/7YenrIKgcAQQQQAABBBBAAAEEEEAAAQQQQACBmAgQfMVkIhkGAgggkIuADmiMaz/Cmt7eXlPotXr16ozdHBsbM+3//vvvW/bftWtXYp/ly5erzZs3q5qaGlMZGdP//u//Wsr59YbRUG/7YelX/6kXAQQQQAABBBBAAAEEEEAAAQQQQACBOAkQfMVpNhkLAggg4FBABzTGtR9hTUVFhSmUOnfuXMYeSpBl7NPFixdN+8vVXPL522+/rZ4/f5787MGDB2rDhg3Jsh988EHyM783jP3V235Y+j0O6kcAAQQQQAABBBBAAAEEEEAAAQQQQCAOAgRfcZhFxoAAAgjkKKADGuPa67BmcnIyGUTpdoxhVWqXU6/2kjJzc3Om3eT5YDt37jS9p1/cu3cv2V51dbV+2/e1Hptx7bWl74OgAQQQQAABBBBAAAEEEEAAAQQQQAABBGIiQPAVk4lkGAgggEAuAsaQRm97HdYcP348GURJG+vWrcvYxaamJtP+8qwv4zI/P5+4teGzZ8+Mbye35dlfeixy5VhQi27TuPbaMqix0A4CCCCAAAIIIIAAAggggAACCCCAAAJRFyD4ivoM0n8EEEAgDwFjSKO3vQ5rduzYkQyipI3Ozs60Pb1+/bppX9nf7vleaStQSl2+fDlZx+nTpzPt6uln2s+49trS0w5TGQIIIIAAAggggAACCCCAAAIIIIAAAjEWIPiK8eQyNAQQQCCdgDGk0dtehzVr165NBlHSRl9fn213ZmZm1IoVK0z7yv4DAwPJ/e/cuZPcTrfx5z//OVFHXV2dWlxcTLeb5+9rP+O6ra3N83aoEAEEEEAAAQQQQAABBBBAAAEEEEAAAQSyCxB8ZTdiDwQQQCB2AsuXL7cETV4HXzU1NaY27IIvuX2hPI9LQqPKykrT/rOzswn3Dz74IPH+gwcP0s7DwYMHE/vIM8AyPUcsbQUuPjAGXnp7//79LmqkKAIIIIAAAggggAACCCCAAAIIIIAAAgjkK0Dwla8c5RBAAIEIC5SVlZlCJglsWlpaPB3Ra6+9ZmqjtbXVVP/c3JzasGFDYp933nlHNTQ0JPeXK8Bk2bt3b+K9jo4OU1n94tatW4nnfunASdZytZU87yuI5enTp8k+G/tw4sSJIJqnDQQQQAABBBBAAAEEEEAAAQQQQAABBBBIESD4SgHhJQIIIFAMAqlXY0loU19f7+nQjx49agmFurq61M8//6x6enpUaWlp4vOtW7cmbk2oX0tf5Iq05ubmxOdbtmxRS0tLlr5t3LjRUr8On6RsEMvt27dt+/DFF18E0TxtIIAAAggggAACCCCAAAIIIIAAAggggECKAMFXCggvEUAAgWIQkKuidEik1+Xl5Z4O/dGjR2rZsmWWdnR7st6+fXvyeVx2t19cv369WlhYsO3X1NSUGhsbU0NDQ2rbtm2Wdn788Ufbcl6++dNPP1nalXFJv1gQQAABBBBAAAEEEEAAAQQQQAABBBBAIHgBgq/gzWkRAQQQKLiAPG/LGEDJtgRPXi9Xr15N1JvaltzKsL+/39Tcpk2bTH2SUCyXWxZKAGa8amzXrl2m+v14cf78eVOfZZwS9i0uLvrRHHUigAACCCCAAAIIIIAAAggggAACCCCAQBYBgq8sQHyMAAIIxFEg3S365JlVXi/z8/Pq3LlzSm5z+Pnnn6uRkRHbQEue+SX79fb25n3F1MDAQDKI8vrWjXYux48fT7anwz15VhkLAggggAACCCCAAAIIIIAAAggggAACCBRGgOCrMO60igACCBRcwO45XxJMRXmR4E4HUKtWrfJ9KFVVVcn2dLtyNR0LAggggAACCCCAAAIIIIAAAggggAACCBRGgOCrMO60igACCBRc4K9//asltKmrqyt4v9x2oLKyMjGuLVu2uK0qY/mJiQmLn9zm8Pnz5xnL8SECCCCAAAIIIIAAAggggAACCCCAAAII+CdA8OWfLTUjgAACoRZ49uyZ6ZlY+oqlqampUPc7W+fk+WEyls7Ozmy7uvp87969luCro6PDVZ0URgABBBBAAAEEEEAAAQQQQAABBBBAAAF3AgRf7vwojQACCERawPhMLB187dmzJ7JjunXrVjKMmp6e9m0cEhqWlJQk2xI7Cdy42ss3cipGAAEEEEAAAQQQQAABBBBAAAEEEEDAkQDBlyMmdkIAAQTiKyC3BNShl15fvnw5lAPev3+/2rRpk/ryyy8t/Xv58qVqaGhIjOXDDz+0fO7lG1u3brWYfffdd142QV0IIIAAAggggAACCCCAAAIIIIAAAgggkIcAwVceaBRBAAEE4iSwsLCQDIx08LV8+XIVtvDr119/NYVN1dXVSsKmmZkZdenSJbV69erE5+3t7b5Nj4Rru3fvNvVDzL744gvf2qRiBBBAAAEEEEAAAQQQQAABBBBAAAEEEHAuQPDl3Io9EUAAgdgKyK371q1bZwl09u3blwiWwjLw9evXW/oowZMEdRs3blQjIyO+dfXKlSuqtrbW0v7nn3/uW5tUjAACCCCAAAIIIIAAAggggAACCCCAAAK5CRB85ebF3ggggECsBU6fPq2WLVtmCXckVDpw4IDq7+8v6PiXlpbU1atXE1dYnTp1KnFV2uzsrC99kivJenp61Ntvv60qKiosJnKF2fj4uC9tUykCCCCAAAIIIIAAAggggAACCCCAAAII5CdA8JWfG6UQQACB2ApI4NPV1aXKysosYY9cWVUsy8DAgGX8cnWZhIDnz59XEsKxIIAAAggggAACCCCAAAIIIIAAAggggEC4BAi+wjUf9AYBBBAIlcDY2Jj66quvlNzycMuWLaqtrS1U/fOzM/fu3VNNTU1q165d6uTJk2pwcFA9evTIzyapGwEEEEAAAQQQQAABBBBAAAEEEEAAAQRcChB8uQSkOAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAQDgECL7CMQ/0AgEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAwKUAwZdLQIojgAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAgiEQ4DgKxzzQC8QQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQRcChB8uQSkOAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAQDgECL7CMQ/0AgEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAwKUAwZdLQIojgAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAgiEQ4DgKxzzQC8QQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQRcChB8uQSkOAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAQDgECL7CMQ/0AgEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAwKUAwZdLQIojgAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAgiEQ4DgKxzzQC8QQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQRcChB8uQSkOAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAQDgE/g+W4TKLJTIBngAAAABJRU5ErkJggg=="
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Verifying linear independence amounts to find the solution of a system of linear equations, as it is shown in the example below from wikipedia:\n",
    "\n",
    "<div>\n",
    "  <img src=\"attachment:image.png\" width=\"650\">\n",
    "</div>\n",
    "\n",
    "In this case, $a_1, a_2, a_3$ are found as the solutions of the linear system:\n",
    "\n",
    "$$\\begin{cases}\n",
    "\\begin{matrix}\n",
    "a_1 -3a_2 + 2a_3 = 0\\\\\n",
    "a_1 + 2a_2 + 4a_3 = 0\n",
    "\\end{matrix}\n",
    "\\end{cases}\n",
    "$$\n",
    "\n",
    "The system has two equations and three unknowns. As it is expected, there are infinite solutions. E.g., the assignment $a_1=-16, a_2=-2, a_3=5$ satisfies the equations. \n",
    "In this case, the vectors are linearly dependent."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that, in general, <u>if there are more vectors, $d$, than dimensions, $m$, then the vectors are linearly dependent.</u> In the example, $d=3$ and $m=2$. The result is an **underdetermined system** (a system with fewer equations than unknowns), so that has usually infinite solutions."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There are various techniques for verifying the linear independence of vectors.\n",
    "\n",
    "https://en.wikipedia.org/wiki/Linear_independence"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Definition of rank (Optional)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<u>Rank of a matrix with $r$ rows and $c$ columns:</u> the number of row vectors or column column vector in the matrix that are linearly independent.\n",
    "\n",
    "- If $r < c$ the **maximum rank** of the matrix is $r$ <br><p>\n",
    "\n",
    "- If $r > c$ the **maximum rank** of the matrix is $c$\n",
    "\n",
    "In other words, maximum (possible) rank is equal to the minimal dimension of the matrix, either in terms of rows or columns.\n",
    "    \n",
    "E.g., a $4\\times 2$ matrix can have at most rank 2; a $4\\times 5$ matrix can have at most rank 4.\n",
    "    \n",
    "A matrix has **full rank** if its rank is the same as the maximum rank."
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div>\n",
    "  <img src=\"attachment:image.png\" width=\"450\">\n",
    "</div>\n",
    "Row 2 of matrix $A$ is equal to twice row 1. Therefore, rows 1 and 2 are linearly dependent. Matrix $A$ has only one linearly independent row, so its rank is 1. \n",
    "Hence, matrix $A$ is not full rank.\n",
    "\n",
    "All rows of matrix $B$ are linearly independent, so the rank of matrix $B$ is 3. Matrix $B$ is full rank."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " $${\\bf C} = {\\begin{bmatrix}1&0&1\\\\-2&-3&1\\\\3&3&0\\end{bmatrix}}$$\n",
    " \n",
    " The matrix $C$ has rank 2: the first two columns are linearly independent, so the rank is at least 2, but since the third is a linear combination of the first two (the second subtracted from the first), the three columns are linearly dependent so the rank must be less than 3."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Rank of the feature matrix (Optional)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Since (it can be proved that) for a generic matrix $A$ it holds that $rank(A) = rank(A^T A)$, in our regression problems it is the feature matrix ${\\bf X}$ that determines the solution of the problem based on the expression\n",
    "\n",
    "$${\\bf w}^* = ({\\bf X}^T {\\bf X})^{-1}{\\bf X}^T{\\bf Y}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In our datasets, having two (or more) linearly dependent columns it means that the features are not unique, they have linear correlations that reduce the effective dimensionality of the problem representation."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Rank of the feature matrix ${\\bf X}$ vs. number of rows and of columns (Optional)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The feature (or design) matrix ${\\bf X}$ has $n$ rows (examples) and $d$ columns (number of features), it is an $n\\times d$ matrix.\n",
    "\n",
    "The (Gram) matrix ${\\bf X}^T{\\bf X}$ is an $(d\\times n)\\cdot(n\\times d) = d\\times d$ matrix. \n",
    "    \n",
    "The dimension of the vector ${\\bf w}$ to be estimated is equal to $d$: it weights the impact of each feature determining the output value $y$."
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div style=\"text-align: left;\">\n",
    "  <img src=\"attachment:image.png\" width=\"500\">\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The max rank of the matrix ${\\bf X}^T{\\bf X}$ is necessarily equal to $d$, which is the number of columns/features of the matrix ${\\bf X}$.\n",
    "\n",
    "Using this observation and based on the fact that $rank({\\bf X}) = rank({\\bf X}^T {\\bf X})$, the following reasonings can be done about the rank of ${\\bf X}$, and therefore of ${\\bf X}^T {\\bf X}.$\n",
    "\n",
    "- If $n < d$ $\\rightarrow$ $rank({\\bf X}) \\le n$ (rank of ${\\bf X}$ is $n$, at most), and since $n$ is strictly less than $d$ $\\rightarrow$ the matrix ${\\bf X}^T {\\bf X}$ cannot have full rank, meaning that the **matrix inversion operation can trigger an issue.** \n",
    "\n",
    "  This is the case when the feature matrix is *fat* (larger than taller) and the number of examples is less than the number of features (and therefore of the number of parameters ${\\bf w}$ to determine). This is usually not the case in large datasets.<br><p>\n",
    "\n",
    "- If $n > d$ $\\rightarrow$ $rank({\\bf X}) \\le d$, such that the $d\\times d$ matrix ${\\bf X}^T {\\bf X}$ *can* have full rank, given that  there are no linear dependencies among the column vectors of the matrix (which was indeed the case of the previous example)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Matrix inversion issues because of insufficient examples (Optional)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's check an example of the case $n < d$ described above, by generating an appropriate dataset."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(21,)\n",
      "(21,)\n"
     ]
    },
    {
     "data": {
      "text/html": [
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>x1</th>\n",
       "      <th>x2</th>\n",
       "      <th>x3</th>\n",
       "      <th>x4</th>\n",
       "      <th>x5</th>\n",
       "      <th>x6</th>\n",
       "      <th>x7</th>\n",
       "      <th>x8</th>\n",
       "      <th>x9</th>\n",
       "      <th>x10</th>\n",
       "      <th>...</th>\n",
       "      <th>x12</th>\n",
       "      <th>x13</th>\n",
       "      <th>x14</th>\n",
       "      <th>x15</th>\n",
       "      <th>x16</th>\n",
       "      <th>x17</th>\n",
       "      <th>x18</th>\n",
       "      <th>x19</th>\n",
       "      <th>x20</th>\n",
       "      <th>f(x)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>3.929384</td>\n",
       "      <td>-3.136440</td>\n",
       "      <td>2.688019</td>\n",
       "      <td>-8.157901</td>\n",
       "      <td>2.479059</td>\n",
       "      <td>-7.587427</td>\n",
       "      <td>3.386276</td>\n",
       "      <td>-8.085750</td>\n",
       "      <td>-3.624671</td>\n",
       "      <td>4.099177</td>\n",
       "      <td>...</td>\n",
       "      <td>-3.664242</td>\n",
       "      <td>8.106832</td>\n",
       "      <td>4.621461</td>\n",
       "      <td>-8.133466</td>\n",
       "      <td>-6.681242</td>\n",
       "      <td>-1.235712</td>\n",
       "      <td>5.032880</td>\n",
       "      <td>1.244368</td>\n",
       "      <td>-5.878085</td>\n",
       "      <td>-29.100849</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>-4.277213</td>\n",
       "      <td>4.580994</td>\n",
       "      <td>6.988636</td>\n",
       "      <td>-1.325977</td>\n",
       "      <td>-7.687632</td>\n",
       "      <td>6.526816</td>\n",
       "      <td>1.718731</td>\n",
       "      <td>7.706537</td>\n",
       "      <td>3.839406</td>\n",
       "      <td>9.907170</td>\n",
       "      <td>...</td>\n",
       "      <td>-2.914706</td>\n",
       "      <td>-5.847283</td>\n",
       "      <td>-6.778620</td>\n",
       "      <td>-4.062784</td>\n",
       "      <td>5.619959</td>\n",
       "      <td>5.301922</td>\n",
       "      <td>-8.417021</td>\n",
       "      <td>-7.555129</td>\n",
       "      <td>4.355151</td>\n",
       "      <td>28.543256</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>-5.462971</td>\n",
       "      <td>-1.228555</td>\n",
       "      <td>4.489106</td>\n",
       "      <td>-1.382745</td>\n",
       "      <td>-3.654290</td>\n",
       "      <td>2.061203</td>\n",
       "      <td>2.498070</td>\n",
       "      <td>2.544979</td>\n",
       "      <td>1.087665</td>\n",
       "      <td>-2.881703</td>\n",
       "      <td>...</td>\n",
       "      <td>-6.578363</td>\n",
       "      <td>-4.150212</td>\n",
       "      <td>2.013971</td>\n",
       "      <td>8.551685</td>\n",
       "      <td>-4.269268</td>\n",
       "      <td>1.312840</td>\n",
       "      <td>7.187782</td>\n",
       "      <td>-5.972010</td>\n",
       "      <td>-2.420283</td>\n",
       "      <td>-3.620656</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.026295</td>\n",
       "      <td>-8.806442</td>\n",
       "      <td>2.220470</td>\n",
       "      <td>-0.126298</td>\n",
       "      <td>-1.703476</td>\n",
       "      <td>0.901360</td>\n",
       "      <td>3.493781</td>\n",
       "      <td>4.468327</td>\n",
       "      <td>-2.220989</td>\n",
       "      <td>5.250956</td>\n",
       "      <td>...</td>\n",
       "      <td>6.582253</td>\n",
       "      <td>0.400203</td>\n",
       "      <td>7.317289</td>\n",
       "      <td>1.380075</td>\n",
       "      <td>-3.870605</td>\n",
       "      <td>-8.301917</td>\n",
       "      <td>6.430082</td>\n",
       "      <td>6.232887</td>\n",
       "      <td>3.367679</td>\n",
       "      <td>-4.758463</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4.389379</td>\n",
       "      <td>-2.039115</td>\n",
       "      <td>4.448868</td>\n",
       "      <td>-1.483394</td>\n",
       "      <td>7.326183</td>\n",
       "      <td>-3.144723</td>\n",
       "      <td>6.846849</td>\n",
       "      <td>-9.677416</td>\n",
       "      <td>8.502650</td>\n",
       "      <td>1.863538</td>\n",
       "      <td>...</td>\n",
       "      <td>-3.226583</td>\n",
       "      <td>8.038227</td>\n",
       "      <td>9.670432</td>\n",
       "      <td>-0.851760</td>\n",
       "      <td>3.305229</td>\n",
       "      <td>1.653422</td>\n",
       "      <td>8.197433</td>\n",
       "      <td>-0.640249</td>\n",
       "      <td>-9.413606</td>\n",
       "      <td>2.163952</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>-1.537871</td>\n",
       "      <td>4.759908</td>\n",
       "      <td>-3.540822</td>\n",
       "      <td>-3.754776</td>\n",
       "      <td>-4.990893</td>\n",
       "      <td>-3.917584</td>\n",
       "      <td>-8.336100</td>\n",
       "      <td>1.888638</td>\n",
       "      <td>6.833400</td>\n",
       "      <td>3.834036</td>\n",
       "      <td>...</td>\n",
       "      <td>1.047402</td>\n",
       "      <td>9.672618</td>\n",
       "      <td>-8.412684</td>\n",
       "      <td>5.070520</td>\n",
       "      <td>-7.772157</td>\n",
       "      <td>6.296874</td>\n",
       "      <td>-7.427376</td>\n",
       "      <td>6.158764</td>\n",
       "      <td>2.718007</td>\n",
       "      <td>14.382605</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>9.615284</td>\n",
       "      <td>-6.350165</td>\n",
       "      <td>-2.764227</td>\n",
       "      <td>-1.472974</td>\n",
       "      <td>-0.339315</td>\n",
       "      <td>-1.659556</td>\n",
       "      <td>5.273657</td>\n",
       "      <td>1.135704</td>\n",
       "      <td>-2.852049</td>\n",
       "      <td>-6.977451</td>\n",
       "      <td>...</td>\n",
       "      <td>1.571029</td>\n",
       "      <td>-4.849159</td>\n",
       "      <td>-1.433055</td>\n",
       "      <td>4.837243</td>\n",
       "      <td>3.297449</td>\n",
       "      <td>-3.258672</td>\n",
       "      <td>-8.364398</td>\n",
       "      <td>-9.851472</td>\n",
       "      <td>-9.356041</td>\n",
       "      <td>-5.202412</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>3.696595</td>\n",
       "      <td>-6.490965</td>\n",
       "      <td>-5.434735</td>\n",
       "      <td>7.867783</td>\n",
       "      <td>9.711196</td>\n",
       "      <td>3.626015</td>\n",
       "      <td>-5.126673</td>\n",
       "      <td>-6.820807</td>\n",
       "      <td>-9.128171</td>\n",
       "      <td>-2.022474</td>\n",
       "      <td>...</td>\n",
       "      <td>0.430661</td>\n",
       "      <td>1.287181</td>\n",
       "      <td>-5.909143</td>\n",
       "      <td>-9.028419</td>\n",
       "      <td>7.757136</td>\n",
       "      <td>8.551532</td>\n",
       "      <td>-7.231689</td>\n",
       "      <td>1.031855</td>\n",
       "      <td>4.895613</td>\n",
       "      <td>-4.716764</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>-0.381362</td>\n",
       "      <td>0.631027</td>\n",
       "      <td>-4.125719</td>\n",
       "      <td>8.883200</td>\n",
       "      <td>0.389702</td>\n",
       "      <td>7.509137</td>\n",
       "      <td>-6.115541</td>\n",
       "      <td>-6.938590</td>\n",
       "      <td>-3.904639</td>\n",
       "      <td>-5.182882</td>\n",
       "      <td>...</td>\n",
       "      <td>-9.946239</td>\n",
       "      <td>6.139374</td>\n",
       "      <td>-0.987270</td>\n",
       "      <td>4.173948</td>\n",
       "      <td>3.926225</td>\n",
       "      <td>5.014340</td>\n",
       "      <td>-2.012426</td>\n",
       "      <td>8.638643</td>\n",
       "      <td>-0.541740</td>\n",
       "      <td>12.749018</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>-2.157650</td>\n",
       "      <td>0.636552</td>\n",
       "      <td>2.619522</td>\n",
       "      <td>0.036734</td>\n",
       "      <td>2.257891</td>\n",
       "      <td>0.208447</td>\n",
       "      <td>1.449139</td>\n",
       "      <td>3.910591</td>\n",
       "      <td>-2.036286</td>\n",
       "      <td>-3.130880</td>\n",
       "      <td>...</td>\n",
       "      <td>9.766908</td>\n",
       "      <td>-2.112599</td>\n",
       "      <td>0.955271</td>\n",
       "      <td>6.784867</td>\n",
       "      <td>-1.193442</td>\n",
       "      <td>1.481277</td>\n",
       "      <td>-1.513863</td>\n",
       "      <td>1.643509</td>\n",
       "      <td>-7.564913</td>\n",
       "      <td>10.194707</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>10 rows × 21 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "         x1        x2        x3        x4        x5        x6        x7  \\\n",
       "0  3.929384 -3.136440  2.688019 -8.157901  2.479059 -7.587427  3.386276   \n",
       "1 -4.277213  4.580994  6.988636 -1.325977 -7.687632  6.526816  1.718731   \n",
       "2 -5.462971 -1.228555  4.489106 -1.382745 -3.654290  2.061203  2.498070   \n",
       "3  1.026295 -8.806442  2.220470 -0.126298 -1.703476  0.901360  3.493781   \n",
       "4  4.389379 -2.039115  4.448868 -1.483394  7.326183 -3.144723  6.846849   \n",
       "5 -1.537871  4.759908 -3.540822 -3.754776 -4.990893 -3.917584 -8.336100   \n",
       "6  9.615284 -6.350165 -2.764227 -1.472974 -0.339315 -1.659556  5.273657   \n",
       "7  3.696595 -6.490965 -5.434735  7.867783  9.711196  3.626015 -5.126673   \n",
       "8 -0.381362  0.631027 -4.125719  8.883200  0.389702  7.509137 -6.115541   \n",
       "9 -2.157650  0.636552  2.619522  0.036734  2.257891  0.208447  1.449139   \n",
       "\n",
       "         x8        x9       x10  ...       x12       x13       x14       x15  \\\n",
       "0 -8.085750 -3.624671  4.099177  ... -3.664242  8.106832  4.621461 -8.133466   \n",
       "1  7.706537  3.839406  9.907170  ... -2.914706 -5.847283 -6.778620 -4.062784   \n",
       "2  2.544979  1.087665 -2.881703  ... -6.578363 -4.150212  2.013971  8.551685   \n",
       "3  4.468327 -2.220989  5.250956  ...  6.582253  0.400203  7.317289  1.380075   \n",
       "4 -9.677416  8.502650  1.863538  ... -3.226583  8.038227  9.670432 -0.851760   \n",
       "5  1.888638  6.833400  3.834036  ...  1.047402  9.672618 -8.412684  5.070520   \n",
       "6  1.135704 -2.852049 -6.977451  ...  1.571029 -4.849159 -1.433055  4.837243   \n",
       "7 -6.820807 -9.128171 -2.022474  ...  0.430661  1.287181 -5.909143 -9.028419   \n",
       "8 -6.938590 -3.904639 -5.182882  ... -9.946239  6.139374 -0.987270  4.173948   \n",
       "9  3.910591 -2.036286 -3.130880  ...  9.766908 -2.112599  0.955271  6.784867   \n",
       "\n",
       "        x16       x17       x18       x19       x20       f(x)  \n",
       "0 -6.681242 -1.235712  5.032880  1.244368 -5.878085 -29.100849  \n",
       "1  5.619959  5.301922 -8.417021 -7.555129  4.355151  28.543256  \n",
       "2 -4.269268  1.312840  7.187782 -5.972010 -2.420283  -3.620656  \n",
       "3 -3.870605 -8.301917  6.430082  6.232887  3.367679  -4.758463  \n",
       "4  3.305229  1.653422  8.197433 -0.640249 -9.413606   2.163952  \n",
       "5 -7.772157  6.296874 -7.427376  6.158764  2.718007  14.382605  \n",
       "6  3.297449 -3.258672 -8.364398 -9.851472 -9.356041  -5.202412  \n",
       "7  7.757136  8.551532 -7.231689  1.031855  4.895613  -4.716764  \n",
       "8  3.926225  5.014340 -2.012426  8.638643 -0.541740  12.749018  \n",
       "9 -1.193442  1.481277 -1.513863  1.643509 -7.564913  10.194707  \n",
       "\n",
       "[10 rows x 21 columns]"
      ]
     },
     "execution_count": 97,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "samples = 10\n",
    "df = generate_multivariate_regression_data(hyperplane_nD, samples, dimensions=20,\n",
    "                                           visualize=False)                 \n",
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "X (fat):\n",
      "    x0    x1    x2    x3    x4    x5    x6    x7    x8    x9  ...   x11   x12  \\\n",
      "0   1  3.93 -3.14  2.69 -8.16  2.48 -7.59  3.39 -8.09 -3.62  ...  0.26 -3.66   \n",
      "1   1 -4.28  4.58  6.99 -1.33 -7.69  6.53  1.72  7.71  3.84  ...  3.33 -2.91   \n",
      "2   1 -5.46 -1.23  4.49 -1.38 -3.65  2.06  2.50  2.54  1.09  ... -7.88 -6.58   \n",
      "3   1  1.03 -8.81  2.22 -0.13 -1.70  0.90  3.49  4.47 -2.22  ... -7.38  6.58   \n",
      "4   1  4.39 -2.04  4.45 -1.48  7.33 -3.14  6.85 -9.68  8.50  ... -3.56 -3.23   \n",
      "5   1 -1.54  4.76 -3.54 -3.75 -4.99 -3.92 -8.34  1.89  6.83  ...  3.23  1.05   \n",
      "6   1  9.62 -6.35 -2.76 -1.47 -0.34 -1.66  5.27  1.14 -2.85  ...  6.93  1.57   \n",
      "7   1  3.70 -6.49 -5.43  7.87  9.71  3.63 -5.13 -6.82 -9.13  ...  1.07  0.43   \n",
      "8   1 -0.38  0.63 -4.13  8.88  0.39  7.51 -6.12 -6.94 -3.90  ...  7.09 -9.95   \n",
      "9   1 -2.16  0.64  2.62  0.04  2.26  0.21  1.45  3.91 -2.04  ... -2.30  9.77   \n",
      "\n",
      "    x13   x14   x15   x16   x17   x18   x19   x20  \n",
      "0  8.11  4.62 -8.13 -6.68 -1.24  5.03  1.24 -5.88  \n",
      "1 -5.85 -6.78 -4.06  5.62  5.30 -8.42 -7.56  4.36  \n",
      "2 -4.15  2.01  8.55 -4.27  1.31  7.19 -5.97 -2.42  \n",
      "3  0.40  7.32  1.38 -3.87 -8.30  6.43  6.23  3.37  \n",
      "4  8.04  9.67 -0.85  3.31  1.65  8.20 -0.64 -9.41  \n",
      "5  9.67 -8.41  5.07 -7.77  6.30 -7.43  6.16  2.72  \n",
      "6 -4.85 -1.43  4.84  3.30 -3.26 -8.36 -9.85 -9.36  \n",
      "7  1.29 -5.91 -9.03  7.76  8.55 -7.23  1.03  4.90  \n",
      "8  6.14 -0.99  4.17  3.93  5.01 -2.01  8.64 -0.54  \n",
      "9 -2.11  0.96  6.78 -1.19  1.48 -1.51  1.64 -7.56  \n",
      "\n",
      "[10 rows x 21 columns]\n",
      "\n",
      "Y:\n",
      " 0   -29.10\n",
      "1    28.54\n",
      "2    -3.62\n",
      "3    -4.76\n",
      "4     2.16\n",
      "5    14.38\n",
      "6    -5.20\n",
      "7    -4.72\n",
      "8    12.75\n",
      "9    10.19\n",
      "Name: f(x), dtype: float64\n"
     ]
    }
   ],
   "source": [
    "df = df.round(2)\n",
    "Xf = df.iloc[:, 0:-1]\n",
    "\n",
    "# add the bias component\n",
    "Xf.insert(0, 'x0', np.array([1]*Xf.shape[0]).reshape(Xf.shape[0]))\n",
    "         \n",
    "Yf = df.iloc[:, -1]\n",
    "\n",
    "print('X (fat):\\n',Xf)\n",
    "print('\\nY:\\n',Yf)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Weights: -7.01 -22.78 -17.91 13.95 4.83 -3.07 -6.14 1.06 3.83 7.56 -1.59 14.71 4.43 0.75 5.34 -4.46 -0.14 2.98 1.5 -2.0 0.17\n"
     ]
    }
   ],
   "source": [
    "feature_product = np.matmul(Xf.values.T, Xf.values)\n",
    "feature_product_inv = np.linalg.inv(feature_product)\n",
    "\n",
    "all_feature_prods = np.matmul(feature_product_inv, Xf.T) \n",
    "w = np.matmul(all_feature_prods, Yf.values)\n",
    "w = np.round(w,2)\n",
    "print('Weights:', *w)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Weights: 0.18 -0.18 0.35 0.47 0.58 -0.2 0.85 0.1 0.44 1.01 0.58 0.25 0.39 0.23 0.05 0.7 0.89 0.5 -0.57 0.46 -0.21\n"
     ]
    }
   ],
   "source": [
    "# Create linear regression object\n",
    "OLS = linear_model.LinearRegression(fit_intercept=False)\n",
    "#OLS = linear_model.LinearRegression(fit_intercept=True) # data will be normalized\n",
    "\n",
    "# Train the model using the training sets\n",
    "OLS.fit(Xf, Yf)\n",
    "\n",
    "# The coefficients\n",
    "w = np.round(OLS.coef_,2)\n",
    "print('Weights:', *w)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Interestingly, both methods find solutions, but different ones!\n",
    "\n",
    "**Different solutions are based on the different workarounds they adopt to deal with the infinite number of solutions arising from the underdetermined system.** "
   ]
  }
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