{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "**Chapter 8 – Dimensionality Reduction**\n", "\n", "_This notebook contains all the sample code and solutions to the exercises in chapter 8._" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", " \n", "
\n", " Run in Google Colab\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Setup" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, let's import a few common modules, ensure MatplotLib plots figures inline and prepare a function to save the figures. We also check that Python 3.5 or later is installed (although Python 2.x may work, it is deprecated so we strongly recommend you use Python 3 instead), as well as Scikit-Learn ≥0.20." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Python ≥3.5 is required\n", "import sys\n", "assert sys.version_info >= (3, 5)\n", "\n", "# Scikit-Learn ≥0.20 is required\n", "import sklearn\n", "assert sklearn.__version__ >= \"0.20\"\n", "\n", "# Common imports\n", "import numpy as np\n", "import os\n", "\n", "# to make this notebook's output stable across runs\n", "np.random.seed(42)\n", "\n", "# To plot pretty figures\n", "%matplotlib inline\n", "import matplotlib as mpl\n", "import matplotlib.pyplot as plt\n", "mpl.rc('axes', labelsize=14)\n", "mpl.rc('xtick', labelsize=12)\n", "mpl.rc('ytick', labelsize=12)\n", "\n", "# Where to save the figures\n", "PROJECT_ROOT_DIR = \".\"\n", "CHAPTER_ID = \"dim_reduction\"\n", "IMAGES_PATH = os.path.join(PROJECT_ROOT_DIR, \"images\", CHAPTER_ID)\n", "os.makedirs(IMAGES_PATH, exist_ok=True)\n", "\n", "def save_fig(fig_id, tight_layout=True, fig_extension=\"png\", resolution=300):\n", " path = os.path.join(IMAGES_PATH, fig_id + \".\" + fig_extension)\n", " print(\"Saving figure\", fig_id)\n", " if tight_layout:\n", " plt.tight_layout()\n", " plt.savefig(path, format=fig_extension, dpi=resolution)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Projection methods\n", "Build 3D dataset:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "np.random.seed(4)\n", "m = 60\n", "w1, w2 = 0.1, 0.3\n", "noise = 0.1\n", "\n", "angles = np.random.rand(m) * 3 * np.pi / 2 - 0.5\n", "X = np.empty((m, 3))\n", "X[:, 0] = np.cos(angles) + np.sin(angles)/2 + noise * np.random.randn(m) / 2\n", "X[:, 1] = np.sin(angles) * 0.7 + noise * np.random.randn(m) / 2\n", "X[:, 2] = X[:, 0] * w1 + X[:, 1] * w2 + noise * np.random.randn(m)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## PCA using SVD decomposition" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "X_centered = X - X.mean(axis=0)\n", "U, s, Vt = np.linalg.svd(X_centered)\n", "c1 = Vt.T[:, 0]\n", "c2 = Vt.T[:, 1]" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "m, n = X.shape\n", "\n", "S = np.zeros(X_centered.shape)\n", "S[:n, :n] = np.diag(s)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.allclose(X_centered, U.dot(S).dot(Vt))" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "W2 = Vt.T[:, :2]\n", "X2D = X_centered.dot(W2)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "X2D_using_svd = X2D" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## PCA using Scikit-Learn" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With Scikit-Learn, PCA is really trivial. It even takes care of mean centering for you:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "from sklearn.decomposition import PCA\n", "\n", "pca = PCA(n_components=2)\n", "X2D = pca.fit_transform(X)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 1.26203346, 0.42067648],\n", " [-0.08001485, -0.35272239],\n", " [ 1.17545763, 0.36085729],\n", " [ 0.89305601, -0.30862856],\n", " [ 0.73016287, -0.25404049]])" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X2D[:5]" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[-1.26203346, -0.42067648],\n", " [ 0.08001485, 0.35272239],\n", " [-1.17545763, -0.36085729],\n", " [-0.89305601, 0.30862856],\n", " [-0.73016287, 0.25404049]])" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X2D_using_svd[:5]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that running PCA multiple times on slightly different datasets may result in different results. In general the only difference is that some axes may be flipped. In this example, PCA using Scikit-Learn gives the same projection as the one given by the SVD approach, except both axes are flipped:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.allclose(X2D, -X2D_using_svd)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Recover the 3D points projected on the plane (PCA 2D subspace)." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "X3D_inv = pca.inverse_transform(X2D)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Of course, there was some loss of information during the projection step, so the recovered 3D points are not exactly equal to the original 3D points:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "False" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.allclose(X3D_inv, X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can compute the reconstruction error:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.01017033779284855" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.mean(np.sum(np.square(X3D_inv - X), axis=1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The inverse transform in the SVD approach looks like this:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "X3D_inv_using_svd = X2D_using_svd.dot(Vt[:2, :])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The reconstructions from both methods are not identical because Scikit-Learn's `PCA` class automatically takes care of reversing the mean centering, but if we subtract the mean, we get the same reconstruction:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.allclose(X3D_inv_using_svd, X3D_inv - pca.mean_)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `PCA` object gives access to the principal components that it computed:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[-0.93636116, -0.29854881, -0.18465208],\n", " [ 0.34027485, -0.90119108, -0.2684542 ]])" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pca.components_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compare to the first two principal components computed using the SVD method:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 0.93636116, 0.29854881, 0.18465208],\n", " [-0.34027485, 0.90119108, 0.2684542 ]])" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Vt[:2]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice how the axes are flipped." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's look at the explained variance ratio:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0.84248607, 0.14631839])" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pca.explained_variance_ratio_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first dimension explains 84.2% of the variance, while the second explains 14.6%." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By projecting down to 2D, we lost about 1.1% of the variance:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.011195535570688975" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "1 - pca.explained_variance_ratio_.sum()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here is how to compute the explained variance ratio using the SVD approach (recall that `s` is the diagonal of the matrix `S`):" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0.84248607, 0.14631839, 0.01119554])" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.square(s) / np.square(s).sum()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, let's generate some nice figures! :)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Utility class to draw 3D arrows (copied from http://stackoverflow.com/questions/11140163)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "from matplotlib.patches import FancyArrowPatch\n", "from mpl_toolkits.mplot3d import proj3d\n", "\n", "class Arrow3D(FancyArrowPatch):\n", " def __init__(self, xs, ys, zs, *args, **kwargs):\n", " FancyArrowPatch.__init__(self, (0,0), (0,0), *args, **kwargs)\n", " self._verts3d = xs, ys, zs\n", "\n", " def draw(self, renderer):\n", " xs3d, ys3d, zs3d = self._verts3d\n", " xs, ys, zs = proj3d.proj_transform(xs3d, ys3d, zs3d, renderer.M)\n", " self.set_positions((xs[0],ys[0]),(xs[1],ys[1]))\n", " FancyArrowPatch.draw(self, renderer)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Express the plane as a function of x and y." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "axes = [-1.8, 1.8, -1.3, 1.3, -1.0, 1.0]\n", "\n", "x1s = np.linspace(axes[0], axes[1], 10)\n", "x2s = np.linspace(axes[2], axes[3], 10)\n", "x1, x2 = np.meshgrid(x1s, x2s)\n", "\n", "C = pca.components_\n", "R = C.T.dot(C)\n", "z = (R[0, 2] * x1 + R[1, 2] * x2) / (1 - R[2, 2])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the 3D dataset, the plane and the projections on that plane." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Saving figure dataset_3d_plot\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from mpl_toolkits.mplot3d import Axes3D\n", "\n", "fig = plt.figure(figsize=(6, 3.8))\n", "ax = fig.add_subplot(111, projection='3d')\n", "\n", "X3D_above = X[X[:, 2] > X3D_inv[:, 2]]\n", "X3D_below = X[X[:, 2] <= X3D_inv[:, 2]]\n", "\n", "ax.plot(X3D_below[:, 0], X3D_below[:, 1], X3D_below[:, 2], \"bo\", alpha=0.5)\n", "\n", "ax.plot_surface(x1, x2, z, alpha=0.2, color=\"k\")\n", "np.linalg.norm(C, axis=0)\n", "ax.add_artist(Arrow3D([0, C[0, 0]],[0, C[0, 1]],[0, C[0, 2]], mutation_scale=15, lw=1, arrowstyle=\"-|>\", color=\"k\"))\n", "ax.add_artist(Arrow3D([0, C[1, 0]],[0, C[1, 1]],[0, C[1, 2]], mutation_scale=15, lw=1, arrowstyle=\"-|>\", color=\"k\"))\n", "ax.plot([0], [0], [0], \"k.\")\n", "\n", "for i in range(m):\n", " if X[i, 2] > X3D_inv[i, 2]:\n", " ax.plot([X[i][0], X3D_inv[i][0]], [X[i][1], X3D_inv[i][1]], [X[i][2], X3D_inv[i][2]], \"k-\")\n", " else:\n", " ax.plot([X[i][0], X3D_inv[i][0]], [X[i][1], X3D_inv[i][1]], [X[i][2], X3D_inv[i][2]], \"k-\", color=\"#505050\")\n", " \n", "ax.plot(X3D_inv[:, 0], X3D_inv[:, 1], X3D_inv[:, 2], \"k+\")\n", "ax.plot(X3D_inv[:, 0], X3D_inv[:, 1], X3D_inv[:, 2], \"k.\")\n", "ax.plot(X3D_above[:, 0], X3D_above[:, 1], X3D_above[:, 2], \"bo\")\n", "ax.set_xlabel(\"$x_1$\", fontsize=18, labelpad=10)\n", "ax.set_ylabel(\"$x_2$\", fontsize=18, labelpad=10)\n", "ax.set_zlabel(\"$x_3$\", fontsize=18, labelpad=10)\n", "ax.set_xlim(axes[0:2])\n", "ax.set_ylim(axes[2:4])\n", "ax.set_zlim(axes[4:6])\n", "\n", "# Note: If you are using Matplotlib 3.0.0, it has a bug and does not\n", "# display 3D graphs properly.\n", "# See https://github.com/matplotlib/matplotlib/issues/12239\n", "# You should upgrade to a later version. If you cannot, then you can\n", "# use the following workaround before displaying each 3D graph:\n", "# for spine in ax.spines.values():\n", "# spine.set_visible(False)\n", "\n", "save_fig(\"dataset_3d_plot\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Saving figure dataset_2d_plot\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = fig.add_subplot(111, aspect='equal')\n", "\n", "ax.plot(X2D[:, 0], X2D[:, 1], \"k+\")\n", "ax.plot(X2D[:, 0], X2D[:, 1], \"k.\")\n", "ax.plot([0], [0], \"ko\")\n", "ax.arrow(0, 0, 0, 1, head_width=0.05, length_includes_head=True, head_length=0.1, fc='k', ec='k')\n", "ax.arrow(0, 0, 1, 0, head_width=0.05, length_includes_head=True, head_length=0.1, fc='k', ec='k')\n", "ax.set_xlabel(\"$z_1$\", fontsize=18)\n", "ax.set_ylabel(\"$z_2$\", fontsize=18, rotation=0)\n", "ax.axis([-1.5, 1.3, -1.2, 1.2])\n", "ax.grid(True)\n", "save_fig(\"dataset_2d_plot\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Manifold learning\n", "Swiss roll:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "from sklearn.datasets import make_swiss_roll\n", "X, t = make_swiss_roll(n_samples=1000, noise=0.2, random_state=42)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Saving figure swiss_roll_plot\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "axes = [-11.5, 14, -2, 23, -12, 15]\n", "\n", "fig = plt.figure(figsize=(6, 5))\n", "ax = fig.add_subplot(111, projection='3d')\n", "\n", "ax.scatter(X[:, 0], X[:, 1], X[:, 2], c=t, cmap=plt.cm.hot)\n", "ax.view_init(10, -70)\n", "ax.set_xlabel(\"$x_1$\", fontsize=18)\n", "ax.set_ylabel(\"$x_2$\", fontsize=18)\n", "ax.set_zlabel(\"$x_3$\", fontsize=18)\n", "ax.set_xlim(axes[0:2])\n", "ax.set_ylim(axes[2:4])\n", "ax.set_zlim(axes[4:6])\n", "\n", "save_fig(\"swiss_roll_plot\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Saving figure squished_swiss_roll_plot\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(11, 4))\n", "\n", "plt.subplot(121)\n", "plt.scatter(X[:, 0], X[:, 1], c=t, cmap=plt.cm.hot)\n", "plt.axis(axes[:4])\n", "plt.xlabel(\"$x_1$\", fontsize=18)\n", "plt.ylabel(\"$x_2$\", fontsize=18, rotation=0)\n", "plt.grid(True)\n", "\n", "plt.subplot(122)\n", "plt.scatter(t, X[:, 1], c=t, cmap=plt.cm.hot)\n", "plt.axis([4, 15, axes[2], axes[3]])\n", "plt.xlabel(\"$z_1$\", fontsize=18)\n", "plt.grid(True)\n", "\n", "save_fig(\"squished_swiss_roll_plot\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Saving figure manifold_decision_boundary_plot1\n" ] }, { "data": { "image/png": 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\n", 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\n", 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from matplotlib import gridspec\n", "\n", "axes = [-11.5, 14, -2, 23, -12, 15]\n", "\n", "x2s = np.linspace(axes[2], axes[3], 10)\n", "x3s = np.linspace(axes[4], axes[5], 10)\n", "x2, x3 = np.meshgrid(x2s, x3s)\n", "\n", "fig = plt.figure(figsize=(6, 5))\n", "ax = plt.subplot(111, projection='3d')\n", "\n", "positive_class = X[:, 0] > 5\n", "X_pos = X[positive_class]\n", "X_neg = X[~positive_class]\n", "ax.view_init(10, -70)\n", "ax.plot(X_neg[:, 0], X_neg[:, 1], X_neg[:, 2], \"y^\")\n", "ax.plot_wireframe(5, x2, x3, alpha=0.5)\n", "ax.plot(X_pos[:, 0], X_pos[:, 1], X_pos[:, 2], \"gs\")\n", "ax.set_xlabel(\"$x_1$\", fontsize=18)\n", "ax.set_ylabel(\"$x_2$\", fontsize=18)\n", "ax.set_zlabel(\"$x_3$\", fontsize=18)\n", "ax.set_xlim(axes[0:2])\n", "ax.set_ylim(axes[2:4])\n", "ax.set_zlim(axes[4:6])\n", "\n", "save_fig(\"manifold_decision_boundary_plot1\")\n", "plt.show()\n", "\n", "fig = plt.figure(figsize=(5, 4))\n", "ax = plt.subplot(111)\n", "\n", "plt.plot(t[positive_class], X[positive_class, 1], \"gs\")\n", "plt.plot(t[~positive_class], X[~positive_class, 1], \"y^\")\n", "plt.axis([4, 15, axes[2], axes[3]])\n", "plt.xlabel(\"$z_1$\", fontsize=18)\n", "plt.ylabel(\"$z_2$\", fontsize=18, rotation=0)\n", "plt.grid(True)\n", "\n", "save_fig(\"manifold_decision_boundary_plot2\")\n", "plt.show()\n", "\n", "fig = plt.figure(figsize=(6, 5))\n", "ax = plt.subplot(111, projection='3d')\n", "\n", "positive_class = 2 * (t[:] - 4) > X[:, 1]\n", "X_pos = X[positive_class]\n", "X_neg = X[~positive_class]\n", "ax.view_init(10, -70)\n", "ax.plot(X_neg[:, 0], X_neg[:, 1], X_neg[:, 2], \"y^\")\n", "ax.plot(X_pos[:, 0], X_pos[:, 1], X_pos[:, 2], \"gs\")\n", "ax.set_xlabel(\"$x_1$\", fontsize=18)\n", "ax.set_ylabel(\"$x_2$\", fontsize=18)\n", "ax.set_zlabel(\"$x_3$\", fontsize=18)\n", "ax.set_xlim(axes[0:2])\n", "ax.set_ylim(axes[2:4])\n", "ax.set_zlim(axes[4:6])\n", "\n", "save_fig(\"manifold_decision_boundary_plot3\")\n", "plt.show()\n", "\n", "fig = plt.figure(figsize=(5, 4))\n", "ax = plt.subplot(111)\n", "\n", "plt.plot(t[positive_class], X[positive_class, 1], \"gs\")\n", "plt.plot(t[~positive_class], X[~positive_class, 1], \"y^\")\n", "plt.plot([4, 15], [0, 22], \"b-\", linewidth=2)\n", "plt.axis([4, 15, axes[2], axes[3]])\n", "plt.xlabel(\"$z_1$\", fontsize=18)\n", "plt.ylabel(\"$z_2$\", fontsize=18, rotation=0)\n", "plt.grid(True)\n", "\n", "save_fig(\"manifold_decision_boundary_plot4\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# PCA" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Saving figure pca_best_projection_plot\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "angle = np.pi / 5\n", "stretch = 5\n", "m = 200\n", "\n", "np.random.seed(3)\n", "X = np.random.randn(m, 2) / 10\n", "X = X.dot(np.array([[stretch, 0],[0, 1]])) # stretch\n", "X = X.dot([[np.cos(angle), np.sin(angle)], [-np.sin(angle), np.cos(angle)]]) # rotate\n", "\n", "u1 = np.array([np.cos(angle), np.sin(angle)])\n", "u2 = np.array([np.cos(angle - 2 * np.pi/6), np.sin(angle - 2 * np.pi/6)])\n", "u3 = np.array([np.cos(angle - np.pi/2), np.sin(angle - np.pi/2)])\n", "\n", "X_proj1 = X.dot(u1.reshape(-1, 1))\n", "X_proj2 = X.dot(u2.reshape(-1, 1))\n", "X_proj3 = X.dot(u3.reshape(-1, 1))\n", "\n", "plt.figure(figsize=(8,4))\n", "plt.subplot2grid((3,2), (0, 0), rowspan=3)\n", "plt.plot([-1.4, 1.4], [-1.4*u1[1]/u1[0], 1.4*u1[1]/u1[0]], \"k-\", linewidth=1)\n", "plt.plot([-1.4, 1.4], [-1.4*u2[1]/u2[0], 1.4*u2[1]/u2[0]], \"k--\", linewidth=1)\n", "plt.plot([-1.4, 1.4], [-1.4*u3[1]/u3[0], 1.4*u3[1]/u3[0]], \"k:\", linewidth=2)\n", "plt.plot(X[:, 0], X[:, 1], \"bo\", alpha=0.5)\n", "plt.axis([-1.4, 1.4, -1.4, 1.4])\n", "plt.arrow(0, 0, u1[0], u1[1], head_width=0.1, linewidth=5, length_includes_head=True, head_length=0.1, fc='k', ec='k')\n", "plt.arrow(0, 0, u3[0], u3[1], head_width=0.1, linewidth=5, length_includes_head=True, head_length=0.1, fc='k', ec='k')\n", "plt.text(u1[0] + 0.1, u1[1] - 0.05, r\"$\\mathbf{c_1}$\", fontsize=22)\n", "plt.text(u3[0] + 0.1, u3[1], r\"$\\mathbf{c_2}$\", fontsize=22)\n", "plt.xlabel(\"$x_1$\", fontsize=18)\n", "plt.ylabel(\"$x_2$\", fontsize=18, rotation=0)\n", "plt.grid(True)\n", "\n", "plt.subplot2grid((3,2), (0, 1))\n", "plt.plot([-2, 2], [0, 0], \"k-\", linewidth=1)\n", "plt.plot(X_proj1[:, 0], np.zeros(m), \"bo\", alpha=0.3)\n", "plt.gca().get_yaxis().set_ticks([])\n", "plt.gca().get_xaxis().set_ticklabels([])\n", "plt.axis([-2, 2, -1, 1])\n", "plt.grid(True)\n", "\n", "plt.subplot2grid((3,2), (1, 1))\n", "plt.plot([-2, 2], [0, 0], \"k--\", linewidth=1)\n", "plt.plot(X_proj2[:, 0], np.zeros(m), \"bo\", alpha=0.3)\n", "plt.gca().get_yaxis().set_ticks([])\n", "plt.gca().get_xaxis().set_ticklabels([])\n", "plt.axis([-2, 2, -1, 1])\n", "plt.grid(True)\n", "\n", "plt.subplot2grid((3,2), (2, 1))\n", "plt.plot([-2, 2], [0, 0], \"k:\", linewidth=2)\n", "plt.plot(X_proj3[:, 0], np.zeros(m), \"bo\", alpha=0.3)\n", "plt.gca().get_yaxis().set_ticks([])\n", "plt.axis([-2, 2, -1, 1])\n", "plt.xlabel(\"$z_1$\", fontsize=18)\n", "plt.grid(True)\n", "\n", "save_fig(\"pca_best_projection_plot\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# MNIST compression" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Warning:** since Scikit-Learn 0.24, `fetch_openml()` returns a Pandas `DataFrame` by default. To avoid this and keep the same code as in the book, we set `as_frame=True`." ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "from sklearn.datasets import fetch_openml\n", "\n", "mnist = fetch_openml('mnist_784', version=1, as_frame=False)\n", "mnist.target = mnist.target.astype(np.uint8)" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "from sklearn.model_selection import train_test_split\n", "\n", "X = mnist[\"data\"]\n", "y = mnist[\"target\"]\n", "\n", "X_train, X_test, y_train, y_test = train_test_split(X, y)" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "pca = PCA()\n", "pca.fit(X_train)\n", "cumsum = np.cumsum(pca.explained_variance_ratio_)\n", "d = np.argmax(cumsum >= 0.95) + 1" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "154" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "d" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Saving figure explained_variance_plot\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6,4))\n", "plt.plot(cumsum, linewidth=3)\n", "plt.axis([0, 400, 0, 1])\n", "plt.xlabel(\"Dimensions\")\n", "plt.ylabel(\"Explained Variance\")\n", "plt.plot([d, d], [0, 0.95], \"k:\")\n", "plt.plot([0, d], [0.95, 0.95], \"k:\")\n", "plt.plot(d, 0.95, \"ko\")\n", "plt.annotate(\"Elbow\", xy=(65, 0.85), xytext=(70, 0.7),\n", " arrowprops=dict(arrowstyle=\"->\"), fontsize=16)\n", "plt.grid(True)\n", "save_fig(\"explained_variance_plot\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [], "source": [ "pca = PCA(n_components=0.95)\n", "X_reduced = pca.fit_transform(X_train)" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "154" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pca.n_components_" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.9504334914295707" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.sum(pca.explained_variance_ratio_)" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [], "source": [ "pca = PCA(n_components=154)\n", "X_reduced = pca.fit_transform(X_train)\n", "X_recovered = pca.inverse_transform(X_reduced)" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [], "source": [ "def plot_digits(instances, images_per_row=5, **options):\n", " size = 28\n", " images_per_row = min(len(instances), images_per_row)\n", " images = [instance.reshape(size,size) for instance in instances]\n", " n_rows = (len(instances) - 1) // images_per_row + 1\n", " row_images = []\n", " n_empty = n_rows * images_per_row - len(instances)\n", " images.append(np.zeros((size, size * n_empty)))\n", " for row in range(n_rows):\n", " rimages = images[row * images_per_row : (row + 1) * images_per_row]\n", " row_images.append(np.concatenate(rimages, axis=1))\n", " image = np.concatenate(row_images, axis=0)\n", " plt.imshow(image, cmap = mpl.cm.binary, **options)\n", " plt.axis(\"off\")" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Saving figure mnist_compression_plot\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(7, 4))\n", "plt.subplot(121)\n", "plot_digits(X_train[::2100])\n", "plt.title(\"Original\", fontsize=16)\n", "plt.subplot(122)\n", "plot_digits(X_recovered[::2100])\n", "plt.title(\"Compressed\", fontsize=16)\n", "\n", "save_fig(\"mnist_compression_plot\")" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [], "source": [ "X_reduced_pca = X_reduced" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Incremental PCA" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "...................................................................................................." ] } ], "source": [ "from sklearn.decomposition import IncrementalPCA\n", "\n", "n_batches = 100\n", "inc_pca = IncrementalPCA(n_components=154)\n", "for X_batch in np.array_split(X_train, n_batches):\n", " print(\".\", end=\"\") # not shown in the book\n", " inc_pca.partial_fit(X_batch)\n", "\n", "X_reduced = inc_pca.transform(X_train)" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [], "source": [ "X_recovered_inc_pca = inc_pca.inverse_transform(X_reduced)" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "image/png": 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Ly8vI5XJQKBQwGo1wOp0wm80tnqBUcbRDFKQirpVSqYRyuYxoNIpsNotwOIxCodCyHohUVyqVWIEbjUZYLBZYrVb4fD4YjUY4HA7o9XoYDAa+Ri6XY4+beAhi7J8Mv3bEys3mW3q/Gx1D60mr1aK7uxsejwderxeFQoF5QsC68VoulxGLxXD79m3Mzc3x2pmdnYXRaITX64XZbObwEQB+1tvd03ZVgTebTczNzWFubg7nz5/H9PR0i1dHolQqYTabYbfbkUqlUCgUkMvlWia8VqshGAxCp9MhmUy2Pc9uC8Exa2trWFpaarlmd3c3RkZG8Pzzz0OtVuPkyZMoFAooFouYnZ1FJBLB5cuXGTahe7948SIGBwdx5MiRB0rhpNNpzMzMYHJyEvPz8y1W/KlTpzA2NoaRkRF4PJ5dvS6RGsPhMFZXV+F0OmEymQAAmUwGMzMzyOfzKJVKvME2Gg3Mzs7i4sWLsFgsMBgM6Ovrg9/vx8DAAHp7e9l7epCE4l9iNSwSChdRRgPJbsR+dyLSa5KHo1arWTFTrDsQCCAUCrFhLpfL2YDVaDTQaDTQarUMhWYyGX636LhkMgm1Wo1IJAKn04mOjg42cum47XiE7eZMZEBXKhVkMhkkEglEo1Emo1osFvh8Pvj9fvT19UGlUqHZbDI5j7gvc3Nz7EktLCygVCrB4XAwOYkgYbFohxSGbidS5UHHSw0YUamLxDNCRuj/xEsIhUIIhUKIRCIolUqcOkb3Scx6UWmIHv5WRFT+NDbiPxSLRVQqlRZDI5fLIZvNolgsMnqRyWQQj8eh1WqxtLQEjUYDq9XKc+t2u6HT6WAwGJg0STF+gtPJ8JPO52ZK/F4xZxHxAMAwvWg8abVaRg5ISqUSGo0GisUicxDK5TIbYKInL6ZVirJVQxXYZQXeaDQwPz+P1157DRcuXOBYFwlZwxqNBi6XC8PDw1hYWEAikUChUGhZOPV6HZFIBCaTiRmu27mxnQhBbGtra1heXubNRiaTwe/34/Tp03jyySfhcDgArBOR0uk0Lly4gKmpKSwtLXEscHFxEfl8HpcuXYJSqcTw8PCOLKy9kGaziXQ6jVu3bnGYgEQul+PEiRP4uZ/7OQwODu66Ymw2mzxv8XgcLpeLFXg2m+WxNJtNhEKhlvgeAPYGu7q6cPbsWTz33HMwm83QaDT7zpXYiqhUKqhUKr5H2gCy2SympqaQSCRajj+INSJuYOIGQ1AnACbtBAIBrK6ucraCSJ6Sy+WcpmSxWFAqlThURsqcNqtsNguNRoNIJIKBgQHIZDKO39KxwPaUt7SwDP0QK5jg82QyiVKpBACswHt7ezE+Pg6DwcDMYXqPw+EwSqUSlpaWEAqFsLy8jEKhgO7ubiiVSni9Xo4t03jIo9pMpIpb9MBFQ04kFFJKnlj8hq4tl8uZfU7KOxqNsodONSt6e3vhcrlgNBpbjBxRaW3XiKR7rlarTOSi+6KxlstlVvD0dyLSUQyevPLOzk709fVBJpPB5XLBarUykkKpfmRcqlSqFr6GdF1sZexSEcMutH6khg1lJYihlHA4zOTfbDbLa180RsXnRXPeTolvRXZNgROZ4sKFC/jc5z7H0LMop0+fhs/nw/j4OEZHR/Hoo4/ixo0bmJmZwf/4H/8DqVQK5XK55TupVArXrl3DiRMn4PV60dnZ2WJx7abMz8/jq1/9Kv75n/8ZN2/eRKlUgl6vh8/nw+OPP473vOc9MBgMfLxer4darcazzz6L4eFhZLNZ/PSnP8X58+dRq9WQSqXwN3/zN0ilUhgdHWVr8iClVqthenoaFy5cwN/+7d+2QLsOhwPHjx/Hk08+iXPnzu3JWDUaDV544QU899xz+OQnP8lWLLD+Mr/00ksA1tfT3Nwcstkse6nNZhM3b95EMBjEW2+9hXA4jB//+Md46qmncOTIEfzSL/0STCbTA1tUJx6PI5FI4Fvf+hZu376Nb37zm8wDAdbTKD/wgQ8cCIFN9A7I0CbGebFYxOLiIqampjAxMYF0Os2phqQk+/r6YLPZMDY2BpPJBKvVilgshkQigR//+MdIpVJIJpN8vVqthnw+j1AohGg0yrCuNJ1JNGg2U+ZiXq30+HK5jGw2i1AohMXFRSwsLCCTycBgMMDhcMDv92NwcBAej6dFGXR0dKCrq4szBEjhJZNJrK2t4erVq6hUKrBYLOju7mZIWuoFbibi8VJPmJ4DKRL6IaOK4GnyDKvVKhYXF7G0tISrV69icXERiUQCCoUCNpsNw8PDGB0dxfDwMGfLUP44hTtECF8cy0ZjJ0VEGUMulwtms5kLE6nVami1WlSr1ZY0PTKQEokEGyfhcJgdqFwux/fidrtx7tw59sxFxUpj2ApkLopoHInrBwDzA6TpeVJyp1iYJZFIIJ1OY2JiAmtra7hx4wZCoRDy+Ty6u7vhcrkwOjoKr9cLjUbDcXsiQIocEHFc95Jd04TlchnLy8sIBAJ3ed5qtRo6nQ6jo6Po7+/HiRMnMDg4iKGhIY5pDA8P8/dFS6dcLiMUCiGRSCCTycDj8eyZAi8WiwgEAohEIgzfGgwGDAwMoKenB16vt8XLI+uPYLfx8XHEYjHMz88jHA6jXC5jdXUVgUAAKysrD0QsvFarYWZmBtPT01hcXOQ0MblcDpPJhLGxMfj9flgslj0h3slkMkYwNpNmcz3VKJfLMTu+0WjwZrSysoJUKoXV1VXcunULxWIRjzzyCLq7uzld6UERincvLS1hYWEBly9fxuzsLDPTZTIZvF4v+vr6MDw8DLvdfqDjpQ2FlGmpVGKyWjwe59Kj5KFTVTmPx4Pe3l6YTCaYTCYmHtLzJg+MNi8iWuXzeeRyOVSrVTYadhJG2Og7BO1ms1n2jIB1dMRms8FqtcJsNrNnS/FOYJ37IpfL4fF4kE6nEYvF2ICJxWLM13C73dBqtS2evxi/387ct1Pmohcn3hcAnjMaUzQaRTQaRT6fR6VSgclkgsFggNPp5HulWHE7j1/qDW40TvqXYvSEwFAIRafT8RqgKmU0rxTTFpEplUqFRCKBXC6HcrmMYrGIYDCIcrmMrq4uNJtN2O12hs1FOFuKIon/3ktEzkc7VITmmJ6HOD/0foTDYUSjUSwvLyMUCjESK5fL4XQ6mYxtMBi49gHNudSI287a3zVNuLKygv/23/4bLl++3PK5TCZDb28vxsbG8Ou//usYHR2FxWLhBzkyMgK/3w+NRoPvfe97+Mu//MuWpH6CGokIMDAwsFtDvqcolUr09vbiN3/zNzE2NgaXy7XhsTabDS+++CK8Xi8cDge+8IUvMPN4fn4eX/nKV2Cz2WCz2fZr+G0ll8vhr//6rzEzM4PV1VVeQDqdDsPDw/jVX/1V+Hw+tvIPSmQyGfr7+wG0voiPPfYYstksnnvuObz++uv45je/iampKSY+fvjDH8bv/d7vHdSw7xJioQaDQXzmM5/Bq6++2lKOF1hfZ7/2a7+GU6dO4Zlnntn3UEC7DZs2LiIk3bp1iwlRonJyOBzo7u7Gk08+CZ/Px8xctVrN5LB4PI5IJIKVlRWsrKy0hMSA9doQLpcL2WyW150UctxIpJtdu5xsiguvra0hGo0ilUrBYrHA7/djfHwcfX19cLlczN4mljA5HmSMEFxK3vzy8jK0Wi3cbjecTifUajUXcZLO6XbCIqJHRl4g8HZYgBjy1WoVGo0GRqMRiUQCqVQKN2/e5HmuVCpQKBRwuVzo7u7G6OgofD4fTCYTe72VSuUuo2GjtSD9v2ig0JrV6/U8Xgpr0fEul4t/z2Qy7H0SbyIQCCCRSODOnTuIRCIIBoNYXFxEKBRCqVTCyZMn4fV6+TkUCgVGDkTZasqhSMLbCIKXyWS8FuicxWKRofxkMomZmRncvHmTEQOKf5tMJrhcLpw6dQp+vx+jo6Mctyf0hK4pLVgjjmEz2TUFXqlUEI/HUSgU+DMK9B89ehQf/vCHGWaSkg7UajX6+/vxjne8Ax/60Idw6dIlBAIB5PP5thbiXki1WkU6nWavlOCgnp4eDA8Pw2q13vMclEva3d3N1ialnE1PT/Oi3SsE4V6SSCSwurqKaDSKTCbTwjQeHx/H0aNHHwiYn6QdDEllIkdGRqBQKOB2u/G5z32OsxYoTemghIo8LC4u8vsQjUZx69YtXLlyBclksuXl9Xg86OzsxIkTJzA8PHxXatJ+iOhViJCkTLZezKRcLiOXyzEpiTYck8mEzs5OjI6OorOzExaL5S6+gsFggM/n4/Q/YiaTFy+FJWksIgqwmbTzWKSx3FKphHw+z2RYilt3dXWhq6uLPVIiIIkGCnm+tO7sdjusViuKxSJyuRwKhUKL10geu4gkbMcAAVo9QnEupHFyMX5NsP7a2hqnL6lUKigUCni9XkZIdDodGwDSKntSr387IvUgyTgQ0RrxOJpXcW7I6Ovv74fZbIbZbEY8HkexWEQ4HOZ3R8xWEM8pzt92C4C184KlVd8o9ZXSD4mQS2hmKBRCvV6HQqFgxMPpdKKrqwter5fXhtQ43UncnmTXNIlYOpFPrlBAp9Ph1KlT+PjHP77xIBQK9Pf3c34dEV/2q+Zws9nkHNXJyUlkMhnI5XImUgwPD2/Zgjabzejr64PRaORygalUClNTU0ilUi0LcL8lFAphYWEB0Wi0pcKaSqXCo48+ijNnzsDpdB7I2LYqlJY0NDSEoaEhvPvd78Zbb72F5eVlrK6utsRZD0JKpRKi0SjeeOMNTE5OIhaLYXl5GW+88Ubb47u7u3Hq1CmcOXMGXV1d+zzaVpFusgC4mAYpcJKOjg7YbDb09PRgfHwcXV1dUKlUjC40m03o9XooFAp0dnZyU5xYLMaNQwDc5QGJpCeS7RRxkd4DxfCz2Szi8TjHkP1+P3p6etDT08PlLWksohFF90IK3OFwwOl0olAoYHl5mSvuEbuaxkvG+2YiKjAR9hX3PJHoROclEpeowGOxGBMMKUSg0Wig1+vR2dkJv98Pn8/XQuqTMqLFOdwsA6CdUSIqIvLuxe5n4nHiMyZFSaFUMgxdLhfcbjcmJiYQjUYRiURYvxBKQ+lj7ZT1dgjP0nAAISjicyCC89LSEofvKpUKUqkU5ubmeA0YDAY2XD0eD7q6ujgGTkz6arXKcyWGW3bioO6pJrFYLPjgBz+45fxtu92Os2fP4qc//SnHl/ZDgZfLZWbOh0Ih1Go1qNVqPPPMMzh79uy24C+PxwOj0Yj3v//96OzsxKuvvnpXRaq9ZtNLhTbIL3zhC/j+97+PUCjEZMG+vj709fXhF3/xF7lS0MMoarUax44dQ2dn54GNoVar4fXXX8ef/MmfIJlMcnEc0aiVitFohNvtPjCjjkSEnak0p6g8iP1PnrTBYMDQ0BB6e3vR1dXFDGHyfkhRyOXylrze5eVlZDIZjv9TXXGtVguVStWSbtMOHt1MROVACrRcLmNtbQ3BYBDBYBCVSgVarRY+nw9ut5uvR0pR9BDFNChyLqgkZkdHBwKBADo6OhCPx5FMJjldTtp1bTORxm7bxaNFNEFUiEQOi0ajnPNNKJ9SqYTJZILdbsfY2BjnWJfL5RbYXFpHfKsiHkvseBoXwctiQSYyGogzJBZ+KZVKTBwjtjyl5VFvCYvF0tJURrpexQqC9Pm9hNb2RhXqAHAIgxT1T37yE8zNzSGZTHKJVDJuRV4BrQMqmkNriohr9Bm9J+1g8608jz3dNTQaDUZGRjaNHYtCD9dsNnNxhL0WIn9QOlWpVEJHRwfHv7dbFYuYlyMjI8jn8/jud7+LUqnEbQuJ/bqfCpyMh8XFRUxPT3N5QmDdyOrs7GQr8WESynygWJrP59tSqGOvpNlcb8t65cqVljzmzYQg90KhgHK5fCA10GnTkcKI4o+UlEW1wUXWv6gAAbTAzwDYK9dqtS3XFKFy8f9bIVOJ3xG9eFEJp9NppNNpZDIZjs8bjUZu+UgbqBRCFY0IKv9JpTPz+TyHmqgehAjBb0faKXHxd+n/SSj/nnKpKbWP5kCv13O9DWL4kzEvGmcbjWU7Y5cWmRFDIkTaIs9TrCtO5yAF1mw22QCi7yuVSlgsFhiNRk4dA95udELGmrQq3VZFVOKiIUPPnnRELpdDOBxmUrXFYoFMJuP9h3gAdDwZMGKp4HbciPsJD++pAtfr9fiZn/kZdHd37+Vl7kuq1SpSqRS+/OUvc1MVvV4Pp9OJU6dOMZFqOyKTyfDUU0/B5XLhi1/8IhKJBLLZLK5cuQKVSoWPfexj+5rqFIvFMDk5iWq1CpPJxFY6sI4YkEexk83nICWbzXI4QKlU4oknnsDo6OiBjYcIOVSgaDPPm+TixYuYnp7G8ePHceLECYyNje2rcUci5RtIvVlSiKVSiYvpUK9sigc2Gg0ucdtsNpkPQ+xsUoBGo7ElJYq8QtrgSKlud2MTlZJMJmPy2sLCApaXl5FMJtHV1QWLxcK5xUqlksdC0DltxHT/dD6tVguFQoHBwUFotVpcunQJqVSKU+SonKxokGwXbZMqVdGjI6G64AD4/qi4jshRcLvdGBgY4Ng3IQTNZrOFNCWSue7HCyfomZQweZ+UNkWOEa0nKuhFa4ccCypEQ/n2SqWSeRaU+kbno3NKx7PVeaf5FcM0YkolGdSiYULzVKlUeE1TjXexTDSt++XlZeZeiAYUGQ4E128nVESypwqcFtJuKIVkMolgMLjrFdko5kRdZYC308MobrcTobZ9ItxDOc17ScYTheJ/S0tLeP3117mkYqPRYCPl+PHjOH36NC+2B03q9Tq/FJQ3SpskdZSKxWK8Lih/lOpbm0ymfVOIcrkc3d3d+OAHP4jr168jHA5zFSkRyaHNfnFxketGZ7NZXn8HKVLFKXrTVKSD+gJQBTKCYkVFI4a+yDMiSJquQ0QnqlhF8U2RubwdkaIG1WoVhUIB2WyWC0VRAwpCAsRYNY2JFAR55XRfpNyNRiO3QwXA3pbUy9rOey7erzQe3e7YRqPBnvfq6ioymQw/G61WC6vVCo/HA5/P19L5S8xv3sy73460QwzEdDqaF5pD4O1+B8VikStxZrNZNBoN6HQ6RKNRrK6uIp1Oc/GXZDKJpaUlNhboHdfr9S3V64CdEfHE+5DG7bVaLex2O/r7+6FQKJBOp7mkq8lk4vh9LBZDJpPBysoKAHB2ACHKZBiI5xeJcttV4gcbeNuGUB3iUqnEBRV2Q+jlTKVSTOyiIhYmk2nHCpw8jYNU4PSS3759G//4j/+I5eVlJg+ZTCaMj4/jqaeewlNPPfXA9jCn0raUhzwxMYFcLgeVSsU9ndfW1niTiEajuH79OrxeLywWC1vH+yFyuRxHjhzBb/3Wb+HLX/4ybt68CbfbjZ6eHq5t3mg0cOfOHczNzeGb3/wmwuEwk6yy2ey+8yNEabcRi2Q22kiVSiW0Wi0MBgPHxEnpiJ60SGoiZUrkKfqcSubGYjEUCgU2DICtNXMgaUfAo1xierdrtRo0Gg3MZjNMJhOvDSpmIooYvyZvi/o5m81m5PP5lvxrETIVDYKdjF1kKovjED37Wq3GqXmzs7NcXY4cD7fbjd7eXvT19TGEXalU2CuWxozFEMRO9lapEhKRCzH3n46hamxUzGdtbQ2xWAz1eh1ms5nfbSr+kslksLq62hJHp7xqEXURx7NVZSiFscW1QMYIVYc7c+YMfD4fstksowtWqxV6vR4qlQrBYBDhcJjj5lQNz2QytYQOxCwA0ePfLoP+oVHg165dQyQSwb/+1/+ak/kfNiHobj826GZzPbXkM5/5DC5fvsz5iWS5+v1+PPHEE+jq6uKY5IMoKysr+C//5b9wW0SCASmXslwus1H093//91wFzG63w2Qyobe3F0eOHMELL7zQElvbK6FOdP/qX/0rzmsm6x1Yfy69vb1YXV2FyWTCt7/9bVy4cAFvvvkmKpUKnnvuuT0d372EECkRAhYVEW12tVoN6XQaOp2OS9nSZk2bEUHOtLaoQ1m1WmWDkeDGSCSCdDrNG6KoiLcq0pi9FBoWz0mwuVh3nb4nErvoWLovUnp0HwSzUi6zaLRs11AXc7/Fhi4AuBWnQqHgUsQ3b97E7Owsbt26xSm3drsdTqcTR48e5SYxNA6NRsPFaqQNpqQeJ7C9UqRSj5IadVB4BACjK0T8i8fjuHXrFhYWFrC0tMQIicvlYuVHnSDX1ta4FK7YmbJarXKOPhlU4j1sV6ReOHXMk8lkMJlMGBwchNPp5O5uZDDR9b1eL2KxGORyOSYmJrC4uIhYLMahArHCISE8Ur7Hdoz4PVXg1Pt7u8SidgsnGo3yhr1fHuz9CMGGYgUls9kMm822L8YH1X6+dOkS56AD6+iC1WqF1+vF4OBgS1GdB1GKxSImJyeRTqdRKBRYgZRKJV4PtDFQhSwqcpHL5SCXr1dC2klu6E6EOj5tVkPeZrNxStWVK1fQbDYRCATg9XoZ5jwIg0q6iUgVn0gOK5fLSKfTnPstEtmAu1t5kpdOyl+lUrG3ThCqWMCJzrFdEcdJ99HuXCJzWnqfYmqPeA4SWl/kUZICJ7Ttfp6d1Iuka4u5+ZSXv7a2hnA4jHg8zgpep9PBYrHA7XYzwZAyTqShiXspiu3eh/R8NMfUbEX8oTVE1f3i8TjUajWjhsQr0Ol0rPAoo4Niz+3CFvcr0nsmT5kyMOhfQpIIjaL7ojSyrq4urKysQC6XI5vNIpPJtIQwxHfjfvTZnirw1dVV/OEf/iF++Zd/Gf/u3/27LX/vQfUGtyOJRAKRSIRzIYH1WvBPPfXUvlQ5W1lZwZ07d+7qeKXVavHzP//zeOSRR/C+973vgWwAIorT6cQv/dIvMWRrNptRKBTwwx/+ENevX8eFCxcwOjqKvr4+/NIv/RIXTyCvkDa2g2B3byYWiwVPPPEEvvOd76DRaCAQCMDpdCIYDMLhcHCJyf0SKSFJhCCpUxjFjakI0M2bN1Gv1zlcRAxvMlrj8TiazSajThqNBrVajaFeSj2jXuhU90H0oLe7wYnKm7xpIqcRdEmQLgAmFtF3SVGQ8a3T6djTIgOEOppRRyyz2czV2AjNIu98J8+BDASaC7p+s7leryIcDiMQCGBmZgaRSASNRgMWiwUWiwVjY2Po7+/HsWPHYDAYWInSs5Q2ihHvf7M1sdl4RSNI7JJG3yfDhlqeymTrDHmbzYaRkRF0d3ejXC7DarWiUqngypUr3E98aGgIbrcb3d3dvAcQXE2dwCibQGzPuV0RDTdKc6Owg2iEkIEOvI0oUVGfWq3GzZkGBgYwMzMDpVKJQCAAYH1PttvtsFgsLeEKkTy3XdlzD5xq8m5FKE5G3Vx2khLwoMjS0hLm5uZQKpWYmWy32/c81kxVp27evImJiQnk8/kWxrnH48HY2Bh6e3sfOKXWTvR6PU6cOMFNEagFJeVZA8CJEydw8uRJjIyMcB1ustwfVBEZzoQoUIETg8Gw7wqcpB37W/ROqX0lpb9RLJM2H9pIG41GS4dBkbBErTwJhiaF2S6WudN7IKExS88pzXUX7502bDGnmAwAKp9JZEoitVEXM5GotB0IWiQ2iWxnUoZ07UKhwDFjKiaiUqlgtVrhcrk49ZUMD5E4RoaVaJxthFTsxCuUoh/SYiVi9TVCCyh1VS5fb4iSTqdZCavVavh8Pi64o9Fo+L0mNI3qCIjoyXYVoThecQ3SOMXYvdg9TUxBJBG/S+uJyJ8iWiA+g/vhvezpDlev1xka24oUCgWsrKxwMfiHASpvJ81mE1euXMHFixeRSqXQ3d2NM2fOcMODvZR0Oo3l5WW8+uqruH79egsb+MiRI0xce9ArrpGYzWY8//zz/H/Kl75x4wYXA3n/+9+Pd77znTCbzQ8NekMvPm02mUyGiTtms/lAcvJFb4qkHcRMRSvoWZACbjab0Gg0vEGlUilef1S1KpVKIZ1O82ZWKpV4Hig+uFH8fbv3QUqazisqGPIGpeleYm0BMTZOkH+xWMTa2hpWV1eRz+fhcDjYqyKiErGk243rXmMW494UXyePPp1OIxwOY3p6GisrK4hGo+zNdnd3o7u7GydOnIDZbIZer0epVOJe1ABaPG8Rkhfvf6eQLp1Hej6xU5ioB0SSMBX5KRQKCAQC3IKTSiYfPXqUe7WTQiWDRjQqd+LwSXkTYp66uCbIqKN7IERBJGzSmiKjlAxdQn4I1RENAnEMO5E9VeDkWUxNTeHb3/42HnnkkU2beaTTaUxNTWFubo5z5/ZaaOI9Hg8qlQrXS6aSmATbblVmZmZw69YtvPLKK5iamuL8UqPRuC91rmdmZvDqq6/i0qVLWFpaQq1Wg1arhdlsxgc/+EE8+eST3HDiYRSCD+PxOBQKBbq7u3lu91N5k9KqVqstXZa2KpFIBP/0T/+EmZkZyGTrDX9GRkYwNjYGi8WyN4PeQETiDonoNZG3TXAiHUs1FEKhEJN5zGYzQ512u509lmw2i/n5eUSj0ZYWqmq1uiVmq9VqWYmJBs5W5peMItGTorQqqvRGRkMymbzrfTQYDKxwaBOmPHFKB0okEpiYmEAgEGAEiNKIKLYrJXVtdf7FmDxB/6QkqKnM7OwsFhcXsba2hnK5zPD9wMAA+vv7YbfboVQq+VmRghNJetL5ot9F2Pt+RExZE40CMUedkCcylEqlEoLBIJaXlxEOh6FWq+F2u2Gz2WA0Gvl+RE+eEArgbVLiduZdytOga4h1DXQ6Hce5xZQ40Ysm/odMJkOxWEQikcDc3Bz3Yvf5fPD5fC3dyKT97neKHuyaAm8HVZHlsbq6ikuXLsHn8wFYh0Xb0f6TySQWFhYQCoU43YnOTWzX3SYikQJ3u93sBYkLiuKoYtEAKeRGm3m5XMb8/DwuXLiAiYkJrKyscHH7vYZ0yVgKBoO4du0ad/YB1tmnTqcTY2NjOH369J6NYa+FmPXxeBz5fB52ux3d3d37mioGgOsGUJqS1+vdUmiENmcqf3nx4kWEQiHI5XJ4vV74/f4DLavajswlhdTF4hOUw00EJCIZyuXrbSUpR7xSqXAHL0Lk6D2iGuMWi4V7w9P1dqIExfHSu63VarkzFr3bqVSKFaQY2xRj5pTpQJtyNBpFKBTioinVapX5AXQ/0vQzYGucHmmREJEN32g0mCdAdQ9of1Sr1bBarXC73S3NSqguuxTSlnrZ7eDfnSpxEc2QwuX0uejl0vMlIzGZTHKtfK1WC5vNxvFuUpwUFpAaHCJistU5F+dHLpczaz6RSLCnTGFPo9HIhpUUqRJ1GTHliTVfq9WYvExpl7vpaOzaTqFWq9HV1YVYLMafEWxy8eJF3L59G5///Ofh9/vx6U9/mvvSAusPMBaL4cc//jH+9//+36x46LxGoxEvvvginnrqKfh8vl3d4BQKBSwWC1588UX85Cc/wcLCAgqFAtbW1vDpT3+aWyX29vbC5/Ph3Llz0Ov1AMAFOC5fvozFxUV8//vf52L39PCAdcLS8PAwf28vJJlM4qtf/SouXbqElZUVfoGVSiW6u7vx3HPPPXSlUqXSbDZx+/ZtTExMoKOjA48//jg+9alPYXR0dN8QhUqlglAohL/8y7/k/t7/+T//Z5w7dw5Go3HTl5NqZk9MTODatWv40pe+xGkqP/uzP4vTp08fWHqkNI2INloqlOFyubhuNcV/g8Eg5/GSp9Tb2wubzQa3281ebDKZxMrKChe3oRi4Wq3mbn/Dw8Nc+IhyqrejwMX4MXl4Wq0WFosFfX19qFarWF5e5oI5r7/+Omw2G3eJMhgM6O7u5rrsuVwOuVwOoVAImUwGCwsLnNO7uLiISqUCj8fDXc10Oh0rAeBtxbjd50kKj+K8FHaYmJjAwsICpqamGCWkmPeJEyfQ398Pr9fLWTqNRoONE5FgBrQ2TBHjrwT9SzkE9xov3aMUkhdhdLq+WCeeFDF5tMvLywgEAlCr1Zxz7XA4oFQqOYtGHA89ZzGvXRzTZmMXOR10XCKRQDwex82bN3kNHj16FF6vF1arldcGkS0JJi8Wi/xDbZrfeustZDIZdHR0oL+/H4ODg7BarYxO0FjbvXfbkV3ThEajEWfOnOH2emJdXoLfqIn766+/zoUUgPXFTnmN1DGIRKPR8Es+MjLChIXdFCqPuLKyApPJhGKxyAVEKGd1bW0NLpcLlUqFiwfQy3Xr1i2sra1hcnISyWSSY3xqtRoDAwMYHR3FwMDAninwWCyGlZUVXLx4ETMzM4wiUMpYT08PTp8+ve/Q7G5Ls9lEMBjE6uoqFAoFbDYb+vr69rX9KXWfmpiYwOrqKtbW1jA9Pc1oAFVeo/jj6uoqyuUyyuUyAoEAotEoZmZmMD8/zy+4TqfjXtoHHcOXkpioVKTL5eKYd6lU4trfIsyeTqeZpU1KntIZo9Eop/nRdVQqFex2O2w2G5c1FclcOxVSYFRow263w+FwwGazcStIimGXy2Wui06FTlQqFVcGo1K9q6urnNoErGdzeL1eLslKNbrvB4ImpSN63plMBolEgnuZUxlkSlmyWq1wOp2cvkTle0VveLMCLVLCmQh170RICYmpUiI0LOVYUHy+0Wggn8+jWCxCo9FwWIVqCdD5SFlL886l97JdDxwAI0pkZJZKJa5JQGFH4n5UKpWWsqn5fB6FQgFzc3OIRCJIpVJcAMZmszE/R3weorG0U77Hrilwn8+H3/qt34Ldbkej0cDrr7/OLyvBhmQF/+mf/umWz+t0OvHMM8/g0UcfxYkTJ3ZruC2iUqlw9uxZJpwFAgGu3kSlOQlmGxoa4rw/qg4metuiWCwWfOITn8A73vEOPPPMM3uSh9xsrqfzXL16FV/4whe42TywbvwMDQ3hiSeewCc+8Yldv/Z+S7PZxK1bt3Dz5k2o1Wq4XC4MDQ3t6xjC4TDm5ubwox/9iLMrfvjDHyISieDJJ59Ed3c3RkdHEY/HEQqF8OUvf5kbIMzOziIUCjFxCwCnIQ0PD6O/v//AFDhtsiJ83Wg02Fg9evQoQ4nFYhHRaBTRaJTrjVMuciAQ4LQ9MS5JHgt5qES+6unpgd/vh9frZSUo1k6gsW1VyKMjAphKpUJfXx+azSbW1taQy+UQi8UwMzMDlUrF1frIWycPkSrjkTFPnQQrlQobHNQroaenh0NkYoGUrY6bPEH6DsXqK5UKgsEgAoEAbt26hWg0ing8znFXt9uNrq4u9PX1wWQyQalUIp/Po6Ojg9P5KLxH4QSao3YkNlExblWJSw0EaQ69eG8AmNRFoQqz2cxhCnKIrFYrOjs7GZUhHgOVwSUPmIqpiNkE0uyJzZSiSGCTydbz6zOZDObn57lolEwmQzKZ5Naser2eS/MuLS1xZ71cLsfKn9phd3d3t7QTpXegUqncRdS8l6G1kexqDFyhUOD06dPQaDSoVCpYWFjA9PT0A88mJ2+gq6sL73znO/Gd73ynJXcaeBsSW11dZU+B6nO3Yz+OjIxgeHgYzz77LDo7O/cMGm02m1hdXUUgEGgpLkFN5U+ePPlQtwklyefzSKVSCAQCyGQyDG0dhEjX89WrV7G0tIRr166xUUEdiyYmJjh1ijzQer3OBsi5c+dw5swZ9PX1wWAwHMj9tEtloc2flAFtQHK5HKFQiNm29H0p+UvsN08hL8rTrdfr0Gq1MBqN3CJSJJCJccmtipQAJOY/Ux/vnp4eLs2ZzWY5Pt9oNPhdJi+aKoiJRg0pksHBQXi9Xhw5coT7PN/v+y1lQRORNpVKIR6PczouxVSpi6Db7YbVamXPVFScYiqaFNoW53onnIN2Qteje6E4slQxiVA+lbGORqNYWlpCKBSC0+mETqfjdqn0zhCngr4rEhXpXsTndS8RIXfSASIZMZ/PY3V1lZ0iqnNASNTa2hry+TwjnuQ4abVauFwujIyMoK+vDy6XC3q9ng1TEaGQyoFB6HTx/v5+OBwOXLx4EbVaDQsLCy2Y/3ZEqVRylaO9rqKlUCjgcDjwjne8Azdv3sT8/PxdVd/q9TpDaBsJeeoDAwMYHx/H2NgY52TulRD5Q/RcSIGPjIwcmKLbTSEiUSKRQKFQgN/vP5DWobRhkJFaq9WwtLSEpaUlXL16laF0QmYIVhZFrVbDbDaju7sbjz32GN71rnfB5XIdeGaAuDmKDGZK+aGe2W63G/V6nck+ordGdcHL5XJLUQ8S2lwJmqfYOZUhpU14p++LGM+la2k0GphMJng8Hrjdbq7JLqaLUZiDxkjeqFiek+q0d3V1we/3w+/3w2g0sqJppwC3ch+iwSLOgdjohsh/zWaT67E7nU6uw00GjDT+KxLHNrqmFPG4HxGVIq0jMvzEtD0inFG9AKrIlk6nmYugUqkY+RDDE1JSpXh/UgLhVscLoKXnPREYqcAQNYrp6OhAuVzmGidUv4EUMqXwdXd3o6+vj6tdUnqlaHhIw1U7kV2nu1LMYmxsDHK5HLFYDKFQCKFQaFvnUavVePLJJ/HYY4/hN3/zN/clfuv1evHCCy9AqVTiHe94B/7qr/7qLk/8XtLd3Y0jR47gd37nd3D06NF9qTMuQpMkY2NjOHbsGD760Y8eaI/s3ZJQKIRr167xy2K1Wvc19k3S2dmJjo4OfOpTn8KNGzfw5ptvskIAwKEXkVUsilqtxq/8yq/g6NGjePrpp1vaWh6kiGkstF7FPGiKuXZ0dGB4eBgmkwmFQoHDSAQd0yZIYSY6D0HClFHS3d2Nnp4edHZ28rMkshNtxu3m717jp+/RdUlREVxfLBa5kxhlnYhpSSK5icbf0dEBvV4Pt9sNn8+H48ePM7FJzEHejXKeRDCjDIdCoYB8Po9KpcLjGBoaQmdnJ44ePQq73c5KRSyGI7bupOdKa1RUIlJGNcl24sjSsZNCFZnuZLS1I8kRHE7353K5oNPpuHBNtVrl1CtChmid0thFAt5WPHApC18ul7ORR1XsgPXCWLlcjln/MpmsxaGkCn1UQGp4eBgulwvHjh2D2+1u6dtBcyN63+KaEcmAW5VdV+AEpff09EAmkyGfz+POnTtc2EFaRL+dEER0+vRpjI2NweVy7Qs7V6lUwmQycVz1iSeeYOND7FYmHq9UKmGz2RgpGB0dxYkTJxg62etxN5vNlupWGo2GPe9jx47BZrPta+/xvRJie9br632AqVTqfgvlLZ86dQrNZhPRaBThcJjrHRNsSExin8/HZR9NJhMsFgve8Y53oL+/H729vZze9KCIFIoW86oJeXA6nZDL5YhGowz3UgUtEQIXN1fgbQ9Wp9PB7XbD4XBwxz5xU7sf71s0AEQvjeKtPp+PiUgUT6aKcvQd2mTpfqllpNfrRWdnJ5e6FYuUSJXGdt978fvSPGOlUsldxPR6PTfroaYe4v2Knu+9FNlGyu5+9iypESMaFJQ6JkL2NFbSC0TqpOYghIDQmhBz5aUe7FaVt3QOSPlTaVbKoKCwXaFQQDqdZuOB3llS5Gq1Gg6HAxaLBYODg7DZbPB4PFyfQkxvozkRx3s/sicJp3K5HM888wzq9To++tGP4pVXXsGXvvQlnD9/HtFo9J7fp+o7//7f/3s4nc59bbYhk8lw/PhxjI2N4cknn8TU1BS++MUv4ic/+QkmJiZajqViFe985zu55N/Ro0dx/Pjxli5Mey2Un9poNODxeHDkyBG8+OKLGB8f35e66/sltBlQ+hF1+NpPUSgUsNvtePHFFzE6Ogqv14tLly5heXkZFy5c4I2Iiud84AMfgMvlgsfjYdIT9QY+qJSxjYTWqxijFKuDUUjryJEjKBaLsNlsmJubw/T0NGZmZpDNZhnmFWuOkwfsdDrR09MDp9OJ8fFxLi9MSmgnG7BUpFAr3ZdOp+Nyo5VKBb29vQiFQrhx4waWlpaYOUzxYSpn6/f7YTab4ff74XQ64XK52GAXlWU7AtJW339SRqInTOejdeRyubggVHd3N/x+PzweD/NxRBKXNCe6nYEolljdKfRPx1HMWDofBJuTgaZSqVpai8pkMi6sk8vl0GyuNwehuu5ms5mL0pCB1a56mYga0d+3GgMXDQqVSgWz2YyxsTFOD1xYWEAymcT8/DwjItSO1u/3w2KxoKurC52dnZztQMgHkR5pTxB1QjvUYyf6Yk8rRpB1cuzYMXzsYx/DyMgIQxGpVArhcBg3b95EqVTCCy+8AJ1Ox14svTgH4Z3QC0FF6T/60Y/isccea8lxB8AtBHt7e2EwGGA0GmG32/dVecvlcnzoQx/Co48+inA4zGMYGxuD3W4/MFbzXopCoUBXV9eBpsXJZDJ0dnbiqaeewsjICDKZDD7ykY/wBkI9iwcHB7lcpNvt5qIzD8NzEccoenWkyMmbtVqt8Pl8yOVyyGQyKBaLyOfzHEowGo2wWCycKkeesE6nYwNTWshkp0pc+j2xMpqo0B0OB7RaLfR6PY4cOcIpZQCYRU+xc6pFQegBNecQ5+l+n6fUi+zo6IBWq0Vvby+3CCXeQG9vL6cliXF8kfEt3iuRCMlI2IhpvhMIV/zuRtwFWjvE6CdInJjohGQQ+54MgUajwYp/M0RBDH/sVAh5ofVMqWxerxeFQgHHjx/nuTYYDC1rg+oIaLVaNJtv1z4XvXtxjUh5AvT7TmTPSz4RocvtdmN4eJjLDwYCAUxOTnJ+6AsvvMCl5jo7Ozm946C8FJlsvZ9xZ2cnOjs7D2QMWxGZTIZnn332oIexr6JUKjn39SDF4XDA4XAc6Bj2QsTNREwvk9Ysp2dACAPB0pRWlkql0Gg04HK54HA4mHhI6TgEU4uKZTdgRRKx0hedn5QFeXgej+cuD5rQkXZxYHHTlRoFwP0RkkRomZwfn8+Her2O/v5+dhiIi0DKkOLHImFQVBxiMRfp+KRK/H7CF2L4RUrSolRCIn6KELnIThfDARQzFu9B9LDpmUrHvF0IXbwHQgyo4xilQYp13Kkmu2h00RikhXxEbkY7Q+9+182+1GykmIFer+cHMD4+jmeffRYf//jHUavVuMIa5UE+iBDjoTwYQvX1FQrFQ19d7kEXcQMioXQrYF0BqFQq+P1+/nu5XOaiHNSUghSPFH0QFUu7n/sRqVcoNpIQFYyUxSxCvOIx9H+pt7xXQoQpUixibXTq3Ehjo/QnMXxB4xXnXJryuhvKW/w+GRDtvE4ySogLAbxdejQej3PaHhGfidzYruVpu3V5v8YTiTQdj3SS9LqiYSgaSxRPp+Ol45KGeO5H9kWB0yJqVwL1X0KK06HsvRChiNJeqGbyoey9tPNwxNQjer/JoybSHhnsVFBFTJOTQqK7qbhFkZLySMjzbJfOI3qRIjFMPEb8fS+UuBjXBtACNZM3S4pDrHomzqsYW6f72ex6+yF0TzS3ZCgRyZNi0cB6SiKtGdEw2O1xS59xO2lnyIlKnp6DeH/i+aXrerfWzIPbMPlQDkUQIo2o1WqkUiksLS2hv7//oIf1L1LaeQwilE7/ElFKhDuVSmVLARExpUisVihCoXu1uUlJeaLQBiutiCV+JoWXt6LMd2PMUq+YlALlVJOnSmOl5isixLxRPLtdPvhui5RlLQ0NSOfcarWiv78fNpsNMpmMeRLtWrOKRs1ujr3ds5UamKSoaQyUFif+SOPbZKTQOcQ5emg88EM5lPsVs9mM3t5e/MZv/AZyuRyn6h3K3gttNqTExfaUQGtpTvE70gIuIny7kfe6l5A0jYuuI3qn0mPoftvFKPd6zO0QDylrWfQEgbsbkYhz387z3kuPux2hTIookPFHOdQAWIETOYxqioj3sB/j3ux5SlPYxDFtRODbUyP1Hid6sGugHsqhHIooW97d7ty5s2vvtnRDaxevFP9td8x+yGab/0GM535EnPN28yp6ggclG11bRBkohiyGZKR12jeSg3hm97rmZqTH+5EjR460nYxDD/xQDuVQ7ku2Gpc8aCV50NffTbmXMXSQiptks/neCpnuQXxe253Xvb6HQwV+KIdyKIdyKPsmD6rB8TDKoQI/lEM5lD2Vg4bOtysPKoLwL0nuR2Hv13PYKoS/0Xj2wyg5VOCHciiHct8ipmCJhTnElCGxLCtwNxFLPM9uyr0UssjeFse9UWxZSnzbD4LVvUSaAidKuxz2g5CNyG3i34G714VI4pOywvdLpOOkrAqK34vkNjGlTGxeIg0NHLLQD+VQHhL5lwAbbnYP0gpZwNu5y9SrmrrmSZUlnWcrLODtyla8KNGoIBF7TNP9icfSJi7miu+kg9f9iHSepGVSxbSnzb63H2Nup7Q2UuZiNTypspQagHs1filBULwGKW0qrUrtRam+PBXWocI7oiFLcyDNGtipHCrwQzmUPZJ6vY7Z2VmEQiFMTk5ienoaa2trANbbkr7nPe/B8PBwSxWzB1U22miknqlYXAR4WzFXq1WuhU2NUQBwmpA0T5zkfpTiZp63OF7yoGiTFRWH9HvUOYuUCBko7YpU7aa0u5d2Oer0u+j9iWNr1/t7r73ZdqgF0JpvL46JaglQYZpGo8G1xUVjiWQvml1JjUlaJ/V6HdlsFqVSCaFQCPl8HvF4HOVyGdVqlWvoOxwO7hjncDjadmPbDUPqoVPgokUm1tE9lK1Js9lEOp3ml5xKFR7K7ght8qlUCplMBrdv38bKygquXbuGiYkJrKysoNlsoqenB16vlxtlUIeyB1E2Ut5i5y9gYy+aFKXYIYsUC3WykqYSSXOwd0vBbJTDLSpvaZUwGo94j5vBoPvBopZC/DSHpVKJx0ftLqVdx0Rlup/7ZzvvW0Q26HMRzalWq/ws6O/ifUvrD7S71m6NnWqiZ7NZZLNZBINBbspFXjiViaWufB0dHbBYLC3FdkQDEri/Z/DQKXCqs7y2tgaPx/MvspnEXko+n8ff/M3foFqtwmw249lnn8Xw8PBBD+tfjOTzecRiMfzFX/wFfvzjH2Nubo6tc4LZACCRSGBychLPP/88nnzySXziE5+A0+k84NHfLdLYqqjkRJhZCo3TRkz3TH+n/to2m40Lw8Tjce69LDbyIG9GbNKx03uQeoFinJ66i1EJz1qthnw+z7XGFQoFTCYTl4mlkABBpmIJTfGauxkOaGfEiJ3HMpkMstksFhcXeQ59Ph9sNhu33aU1KDZ1kRokJLuNepA3TX+ndqwAuJsa3Q8dSwafTLbeWEqKJkg9ZKlnu925b2dgiIZGqVRCMpnE7Ows1tbWcO3aNaRSKcTjcTY0FAoFtFotPB4PBgcH0dfXB6PRyM4SXYMMro1KxG5VHhoFnkgkkE6nMT8/j1gshsnJSbzrXe86VODblGq1iunpachkMvT393Ov2kO5f6nX6wiFQnjzzTdx584dLC0tIZ1OtyAdMpkMuVwOtVoN2WwWc3NzUCqVOHPmDEql0gMNp4ueAilnaWlLUm5AK/mIlDLVSa/VaqhWq8jlcgiHw0gmk0ilUgDWe2AbjUZufkJI23Y2OXEjbxcXFoVacYoKjWrvE/S5UXnVjeqpS3/fqbQ7H41B7EBWq9VQKpUQi8XQbDahVqvhdDpb7ktEGdopcDE3e7vx5c1ixlISGl1L2kSGngPdowiVy2QyhrClOeTimHczFCCOpVgsIplMYnl5GfPz8wgGg0gkEqhUKtxZTyaToVKpQCaTIZ1OIxQKAVjv91Gr1aDVavnc0rDBTomcD40CX1pawszMDF599VXMzc3hJz/5CYxGI86dO3fQQ3uopFqt4tq1a9DpdPB6vW1jU4eyfWk2myiXy5icnMTnP/953Lhxg19gs9kMv98PnU4HhUKBxcVF5HI5lMtlTExMYGZmBmNjY8hkMujs7Hwgw0LiRiolfYneuEqlaokrk5dBngkdl8/nkclkEAwGsby8zG2FOzo6YLPZ4PF42GMnw2ArULrU0xaVR71ev4tQROgAeXwdHR3c71yn03EzjVKpxEYHQf9Sdrf02verTKRhCPqMFB2NQ6VSodlsolgsMsfCYDCgt7eXDRDiJUhLk9IcSOt1t2sLei+RGgr0PbHBCiEAtGYIhRE7wImdv8R2s8SjoOdFx1A9eHp2YkOR+3kG9Fzr9TrS6TRWV1dx8+ZNXLt2DWtra6hWqzCZTOjp6YHBYIBKpUI0GkUul0MoFEKlUkEsFoPNZkOhUIDNZmMDVuRgtBvnVpX4A6nAqcft9evXMTMzg+9+97tIJBLI5XJQqVRwOp34gz/4AzzyyCMHPdSHTprNJnK5HLq6uvDCCy88UL3OE4kErl+/jpWVFYTDYXg8Ht7s5+fnMT8/v6Pz+nw+nDlzBl1dXXA6nRgZGeFNYrekXC7j8uXLuHz5Mq5fv450Og2lUonx8XEcP34cL774IiuDq1ev4tatW/jsZz/Lcb6XX34Zt2/fht1uR3d39wPzXESPStzcxYYlInlNVN7kPZPSqFarSKVS/DwTiQRWV1eRz+dRKpW4/jUpR9rgt7oRi/FzGrPoGdfrdd7oSekRIY28biJMEcJA5KliscieKymJcrl8lyfVjiG91c14s3ukTV+qBJVKJbRabQv/QKvVoqurC263G06nkyHqYrHISp9EbOoiQtzbkXaKWzxPsVhEPp/nmHE2m+U1UavVkE6nkUwmUSwW+b5oHRHUTnB6o/F2dzutVgu1Wg2TyQSHwwGj0Qi73Q6VStWCnmxn7dD9kLFDYYdgMIiFhQXcuXMH2WwWarUajz32GDo7OzE2NsYG5tzcHBvu6XQaa2truHXrFnK5HHw+H5xOJxwOB9RqdQsKIfJJtuNUHbgCp0VJjd4rlQqKxSJyuRwmJiZw9epVvPrqq0zNP3nyJPx+P55//nn09PTs2zhFok29XkexWOQFQguv2VxvhadSqRhWeZCEGLTlchlqtRrDw8PQaDQHPSwAYCv32rVrmJqawvLyMnsQyWQSN2/exI0bN3Z07sHBQVQqFWZ89/X1MZy9W1Kr1TA3N4eFhQWEw2FupzkyMoIzZ87g+eef55dcr9dzXLVYLKJcLuPOnTuo1+tYWlqC2Wx+4BQ4/S5C0+3mT9omFHg79koxRAqFJRIJhEIh3sD0ej3HvikNR4SvN5N2MVzRS5ayzIkRTH8nBU+wvjRWWSwW2cCguPxWyUhbUeJSpSfG0Gnc7eK7dJ9kCJLhZDKZYDKZoNPpkEql+BnQ/UuRArrGbiNyIvFrbW0N4XAY8Xic34VSqYR4PM7tgcVwR7VaZUVM/c3lcjl7uwaDAXq9Hna7ndER6jNOvAYxzryRSEMT4nyQwUSx7mg0yobFwMAA+vr6MD4+zseRkRgIBJDNZtkbV6vVSCaTMBqNANCSJrdT+Bx4ABR4uVxGLpfD5cuXMTMzgzfeeAOpVAq5XA6Tk5NQqVQYGhrCs88+i+PHj+Ppp5+GyWRiS32/JBgMIhQKIRaLYWVlBd/61rfg9XrhcrnwjW98A+FwGABw6tQpPP744/jkJz+5rwbGVoTCEJlMBvV6HQaDYVeV2E6l2WwiGo3i8uXL+KM/+iPebKTw2U5laWkJn//85zm948yZM7u+fvL5PP7hH/4Bs7OzAICBgQEMDw/jP/2n/wSfz9fi8Z8+fRomkwlra2v4wQ9+gIsXL7LimJ+fR1dX166NazsibiabxTTpuYibnUjQo3h3qVRCoVDA5OQkIpEIFhcXUSgU+J2Xydb7QPt8PjgcDgwNDcFoNMJqtbJ3Ja4BqbfbTmhcHR0d0Gg0rCjK5TIKhQIrOaVSiXq9jlKphGKxiFKphJWVFYZK6XrJZBLlchnlchlerxfd3d145JFH4HA4OKZJ5yNlSiI1HjYae7s5pvPSMyGPVQwHiIzzUCiEYDCIeDwOjUYDi8UCnU4HlUqFYrGIer0OjUYDtVqNjo4OFAqFu8IK5JBshwQmVT6iF08oRjgcxsrKCt544w0sLy8jHA7DaDRCoVAwMlAqlVpCLCLpk54f3SuNPZfLQaPRwGq1Ynx8HD09PbDZbC1Et62Go0TDgZ5bR0cHv5crKysIBoOIxWLo6+tDZ2cnjh8/Dq/XC7vdzo7d2NgYXC4X71eFQgGpVAoKhQLT09NQKBSwWCy8/4j57e3qw99rf95TBU6eNU18OBxGLpdDMBiETqeDxWLB4uIi4vE4p9vcuXOHJ290dBQOhwOjo6M4ffo0BgYG4HK5GIrcbSErkeKTIvy2uLiIYDCIcDiMSCSC6elpxONxmEwmJis1m03Mzs5CrVbjzJkzaDab6O7ufmBimuFwGMvLy/xMHgTlDbwN69frdfj9fkQiESSTSZRKpZZ8WylaYDKZYLPZoFar75rjQCCATCbDyE6tVoPVaoXT6eRNYjeFvLRyuQwAsFgscLlcsNvtMBgMLccqlUqYTCb09/fjypUr/Hm5XOZxH4S0mxNR+YjxXoKaq9UqKpUKcrkcxyhJiWazWeTzeUxPT3O6DbG4nU4nNBoNTCYTs6U7Ozuh1WoZoSBlspkiaUeQEg0LKh6TzWYRDoc5lq1QKBhJKxQKKBaLWFlZ4SwCumYsFmMFDqw/u1gsBqVSyd7eVrtnbWXuNyKViR63SGCjZ1Qul1EqlTg+TIaEaPySVwrgLm9baryJCMC9xix+X4oSSNEa4hfQs6Xcf0JYqcc28UWsVisUCgXvBc3mOuO+VCohnU6zkUhhj41g/K2I6ImL4QoxlKLVankfISSAjEIiD+p0OpjNZhiNRuh0On4u+XwelUrlrufajqi41bHvqQKnfFiyLl5//XVMT0/jlVdegd/vx6lTp/DKK69gYWEB6XQawPrLMDAwgJ6eHnzqU59Cf38/xsfHOe60l7K2toZXXnkFs7OziMfjdylwgoCq1So6OjowNTUFoBX+mp2dxeLiIjo7OxEOh/Hxj3981+OtO5WZmRlcvXr1vrzZvZBms8mb4sc+9jH8+Mc/xuXLlzk0QXEvqQI/cuQIHn30Udjt9ruMui9/+cu4desWp3cAwIkTJ/DII4/AYDDs+VpyOBzo6upiL1Aqer0eR48ehcPh4M20UCjg2rVrOHPmzJ6ObSNpB+VJmclyuZw9o3Q6jVQqhWQyiWAwyMQ0ilfGYjGGEGmD7+/vh9VqxdjYGKxWKzweDywWCwwGAywWCysecePcyPMWlTeNqVQq8QZeLBYBAJlMBtFoFLOzs1yEgyD0YrGIbDaLYrHYkg5E8D0pfdqka7Ua/H4/ZDIZurq62BgkqF1kVYv/bmXOxf2G1j0pJbE0J3EDRBIYIQxE8qLPKWSmUCigVqtb0t/E6zWbzbtSmrYD54oGFNAax6U4vc1mQ7O5np8uVjLr6OiAVquFxWLhmDcZ5319fTAYDC0KnAoi0boiI4CQCqVSeU8jvd1aFxEPmifiYxF50eFwoKenh8dFhiqdk8IsVMjFarUiFAqhXq8z+iQS8MS5uld4qp3sqQJPJBL48pe/jKWlJSwtLWFtbQ3pdBqBQACJRILJSjKZDMeOHUNXVxeOHj2K8fFxdHZ2MqS2m/HKWq3GlnahUMD169cRDAaxtLSEVCqF1dVVtvBEyefzKBaLvDlJWZv0O1mhwWCQi3Y8KKLRaBii1Ov1Bz0cFrlcjoGBAfh8PgwODuKxxx5DLBbD9PQ0E5z8fj+6u7tbvkdVjogQsri4iHA4jIWFhZZ4Ggnl8e4F8mAymfAbv/EbWFhYwI0bN/D0009jZGRkQ46BTqfD8PAw3G43dDodCoUCK5R2Fcn2UjaCcDdSmqQs1tbWeJ3Pz88jk8mgWq3yRkpwaldXF4xGI1wuF3p7e+FwONDZ2Qm9Xs9KW9wIxY2M3rPNYrOkwMrlMhKJBJOmyPtOpVJIJBJYWlpCqVRCpVJhtjxB6ATr0ztM8LNKpWJlX61WEQqFsLCwAAAYGhqCXq+HVqtlxU9zKGWo32v+N1qTonIRY7M0N6RoyuUyKpUKlEolNBoNQ7Six97R0YFSqcQGDP2I4Y928fZ7iWisSBW3XC6Hz+eD0WiEWq1GLpdjjhMpR4PB0LLP1+t1GI1GWCwW6PV6NJtNzM/PI5fLIZPJIJPJIJfLMVfC6XTCZrPBbDa3hF3uBUFLn5WI4NAPGR4jIyPwer3o7+/H4OAg3G43hwFEg4gQBoPBAK1WC5VK1fJ8KCYvGp8iktLOoNtM9lSBl0olTE5OMjuXPD+ZbJ1ZnEwm+SUeGhrC0aNH8fTTT2N8fBwej2fXx0MbJCnrRCKB73//+5iammJv7V6xKvFvlBJA1jm9xFScIhqN8kv1IMDopMDE9JgHQWQyGRcxISXdaDRw+fJlpNNpFAoFjIyMYGRkpO336/U68vk8p26Q10SbiVKpbCG97MWz0Gg0eOaZZ9DX1wez2YxTp06hu7t7wyp3KpUKLpeLNwGxeMVGea57Ke1IVKKImyHVfybPNhAIYGFhAZlMhr0QUiJarRY+nw8ulws9PT3o6uqCxWKByWSCRqOBXq9nTyyfz7dsouK1aYxSIS+VlEEqlUI6nWbvv1wu82eU+lOv11mBi0V2qCYCMc3JcwTA4YFMJsOhs2KxyGxoMurFuPf9rjPxmYjnln4mQr3kgYp7jvg9IrISc10ap6fr3q/ypusqFAqYzWbecyqVCiqVCpLJJMd/bTYbrFYrK7RKpQKDwQCTycTQM4VDMpkMO1NEFrbb7TCZTNDr9S3Ex60qbxo7zZH4PUItKMxTKpXg9XphsVg4xVF8VsRep4JFxGQn5EoMSdF129USeCA8cJ/Phz/8wz/E1772NahUKty4cQO5XA4WiwWnT5/Gu971Lhw7dgwul4vLSpLVshdCqUh/8id/0hJnpTip+PDaWUZS6+i9730vnnvuObz66qtYXFzE9PQ0f29hYQFyuRwTExPw+/0HRkwSJZvNIh6PcxzwQRa5XI7jx4/zS91OEdJmND09jdnZWfzJn/wJ4vE4x8bq9Tp0Oh1GR0fx/ve/H8899xyOHj16V0x6N6SjowMOhwMWiwWjo6PsCTwIhttmIt0opBsbfSbm1xIKZTaboVKpmN1sMBgwODgIr9eL3t5eeDwemM1m9PT0QKPRQKfTsdeYTqc5hi42haBr0ua3mTIU4fNCoYB0Oo2FhQUEAgFMT08jm82iUqkwZEtpqKJHSrFsQmYUCgU7FSaTiY1+KiCVTqc5VFAsFluqa4lzeD8ESRqHyAEQET8idtH6EuPd9NxoTyNWOqEINGfSFCsx7k1yL0XSzsgT48elUqklnu3xePhZk9Gj0+mg0+mg0Wg4ZKZUKlGpVJDNZjE/P49QKITXX38dsVgM0WiUSWx9fX3wer0YHR2F3++H3W6HXq9n1OReYQxRYUvDCYRskJM2OjraksFD7wMdR9cgQ8VsNjMKQnsRxb/FORK9fXFetxqC2VMFLpfLmehBJCWy0K1WK7q7u+F2u+FwOOB2u/d8s8vn80gkElheXkYikWCPQbp4afJFBe5wONjqpmP7+vrgdrsxMDAAmUyG2dlZftHIetdoNA9MrXHRcj8IL2+7shlKUK/XEYlEEAgEcPnyZczNzXHqRrlcZtLbiRMnMDY2htOnT6O7uxtms3nP1hltig8SunEvabdp07/0I93ECdGgdCry/ojprNfrYTKZYDab2dMWoc12yoiUHl1fuqltNn7g7WYTVJI1Eokw+5oUHHnLNB5SfkajkaHajo4O6HQ69ujy+TwbLHK5nDd0+r6oAMTNWDSAtuLNtjtGhLJJGYvHbZQjT/NKHrG4x5FXLI1zS5UYfbaZtPu7qMTpOVcqFb4mnZv2RDKcxP2Iwh7RaJQVeCgUYu+b3m2fzwev1wuv1wubzcaV+7aagy/+TZwjcd4I1icui0hYFBW3FH0Q50YkHIrePqFu9yN7qsArlQpWV1cxNTXFbFti6RFLt1wuI5lMwuv17rkCT6fTiEajiMfjbeNt9O/w8DB6enpaFvSzzz6LEydOMIkNePshPf300/D7/fj+97/PL1pPTw9GR0cxOjraUkLvIEWtVkOv17ftSPQwCcVhL126hJdffhk/+MEPsLq62nKMWq2Gw+HApz/9aYyMjGBsbOyARvtwiHQ9iEQqoJXgQ0Qj2jBLpRJyuVzLeWSy9bKS+Xwe0WiU33txI6Tz0uau0WhYWdFGuZERIR0rhR8oNBcMBvncVAHLYDDA6XRyvFWhUECn08HhcMBsNnPtc5VKxV7W4uIix/xlMhkzkG02WwtMSjwMUpJi56mN5lj6ufh3MaWL7k1USOSli0aE+KyINS29DikkETqm621HpGikuHdTSIO8bSL9io4MXY+yGOr1OhfSSaVSmJmZwc2bNzE9PY1EIsFcKZVKBbfbDbvdjtOnT8Pj8aCnp4cNxHbz2k5EvpL4GRHXCGmimLVYVIjGK2ZY0bMWU8Lo3LTmybghxIoa+dxrrJvJnipwsmDExVGtVhGNRnH+/HlEIhGGzc+ePYvu7m6Mj4/D6XSy574XY2rndUstUSlkPjMzg3g8juvXryOfz9+VhpHNZvkle1BhUyJhENnjYRJKF4nH40gkEvjpT3+Ka9eu4cKFC0ilUqxYbDYbfD4fTpw4wUUWHsR6+eQtikz7gxKpJ0KfSXOvaYykaOkz+r1WqyEUCqFcLiOdTnNhFpPJBKvVis7OTvT09HCOMp1frOktjX/fqzoYvW+kkMnDpDiwyEomVEyr1bYwfwuFAo+9Vqu1HL+8vMxwOXngNDe0wdM4pPFQUUHcS3mLv4semshGB95WfKRAxLKvZrOZ86lFT5G+S8qClBD93m7P2qpCEdEH8Xri7yKaIlbmE5nZFE7J5/OYnZ3F7Owsbt++zfuqx+OBwWCA1WrleDTxTaholujRbjeGL/4uoinivJM+I6RGrVbzWiClToQ1QgvK5TI/I9GDJwOt3bOV6qTNZF8UOMFqBEWVSiV+SMD6hrC6uoqTJ09ykZa9UOAivNUu5kNCFqT4Ai4uLmJ+fh6vvfYaQ+9SqEmccLLCxLKHBy02mw1er/eBgvU3EtGqpUpIyWQSCwsLWFlZwde//nUsLi5icXGRS2NSBbOxsTG8+93vxsjICPr7+/e8V/NOhJqZUFqJGA/bKoFlL0TqmYhQOj0PIoABb7cFpc/S6TQrcPJODQYDk1KdTifHzkkJ0YYpPifpNdsJbbA0bzQWGg95yOKGTH+jUBgZUvl8HoFAAOVymcfd0dHBn1H1LZGRLg1FtdsTtiOiUSH16Oh+yXOmvYXGSfnzYtMcGoPomYvzRnNMho/4zLcCP0sNFmkIgc4pVoqj+QfAMWWa/3w+j3Q6jcnJSSwsLGBhYYGfo9vtZuO8s7MTVquV9zJCOEVEYSuy0f4vGjXi3NH6ob2d9lAxrk1rg4xzMrLIkaW5IoNDfA7itbcqe7qzKZVKeL1efPSjH0V/fz+uX7+OQqGArq4ufrjnz59HIBDAjRs3MDMzg9deew1/8Ad/gOeffx46nW5XNzOLxcK1aJvN9b7YIiuQ5ObNm5iammp77Ww2u6FVTf+v1+u4dOkSIpEInnvuOQwPD+PIkSO7dh/3I/V6nSvKPahCqSLBYBBra2t47bXXEAgEEAgEEI/HUSgUuEgLAIyPj6Ovrw8f/ehH4ff70d/fz2krD6LyBtbrQ8/OzraQcrRaLY4dOwa3231g45KiT+KGI25SBKFTiCidTrfkSpMXUiqVEA6HUSgUuIZ0uVxmUifBrABa3nfRcNgMQifFTbA3eaIej4cVExVZoj2HymICYI+a0hAbjUZLChAZ8tTjmaDcYrGIaDQKpVIJs9ncosw3anm5mYjeN80vVZGjc5InR8fR51S1jsZLsDQpT5H7IkUGxPxyMUyyFSUuHbtUKDRCpVCJuFipVFran8ZiMSYIFotFJBIJAOv7NaUdjo+Pw2azweVycSUzStEkSLrdmO6lP6Rjp/g6zROlRlLsnbKOyCChZ0HHUwVCSk8khIHWKBmH5NiRU0tj3a6zty8eOHW9UigUKBaL8Hq9PLHVahVOpxOvv/46W2Czs7Po7+/HyMjIrnqKlIt67NgxzM7OcvEYqdADaAevbxWayefzyGazbXPKD0poYxWLCRy0iNWjyuUy10VOJBIIBAIIhUK4du0aQqEQIpEI50tTCUWTyYSTJ09icHCQyxjuRQriZpJIJFAoFLi0ZTshhUfxsFwuxx64uEm73e4Dy9Fvp7RJxJg0/UtlIQlVIyIbVQUjoiiVIw2Hw1xG0+Vy8TlFiFeqwLcyXpFVLipxMjpSqRQbCWJxF2DdaBA9Lbo3MUuDIPpyucylP8WuWGQAtAsrbCe22e477cJ54ud0vWq12gJF01xKCXXt5q6dktvOXieOn+aCGr2QFAoFhMNhrs6XTqe5RGkikUA8HudwUkdHB6eR9fT0cN0ACsUYDIa7OnqJ87GV/VpqqIj3LaIclLdOSpha4RJbns5BBpRKpUK5XObvkAFIKW+EftL5RaNKDEVsde73xT1xu91wuVw4efIkgFar6IUXXkAoFMKv//qvY2ZmBlNTU/jWt76FtbU1/MEf/AEsFsuujaOnpwdutxu///u/j6997Wu4devWXdaO9GG2+32rf9vo5TsoofzYg4y3itJoNBAMBlkxLy0t4etf/zpWV1cRiUQQiUTuYt8STNjX14djx47hkUcewVNPPQWfzweTyXQgc33+/HlMTU21ZCFIRS6X48yZM1yJjDwN0bjT6XQ4cuQI58QfhIibiLgxEuxJyo0+83g8LRXJREgwEokgGo0ik8kwmZUyOfx+P5PgSDG2Mxxok96IZEXKl+LbZrOZkQBSJJFIhDdLUiDJZJKJbWRYKZVK9oDI0BW7l8lkMlaUYvopjVNU4uLv21WE0piyqJhonkiZNBoNLv9KjUIot54cKCm3gD4XY7oibC/Nu78XlA687YVSeVoy3kiRZTIZZpRTZ0kqwUuGh8VigdFoxJEjR+B2u9HV1QW/3w+z2Qyn08logdiSVhpikMa0N9sPpCiDOOfUgIVKfcfjcV4b4p5Ec0hZSl1dXSgUCohEIlysxmAwwGazoaenh/ld5H2LLWzJEBXHfK+1s2/44kaKjBaPWMCCKvXshaJRKpXo7u7Gu9/9bhiNRkxNTSESiSAUCrXA6bSQvV4vnnzyyZbFHI1G8dprr7HyEe9F/P5OX+C9Eur+9CAo8EgkwiS0ubk5VKtVpNNpTE1NIZvNMrFIGmN85JFH0N/fj3PnzsHj8cDn88HtdnNhiv2U+fl5XL16Ff/8z/+Mubk5JBKJTT3wlZUVri5FZYaJB2IymeByuXD06NEHBkInslOz2WyJVYtC7y7BieStkies0+laGMe0adH7JcbTRah3u0KboMlkAgCGKakACyk+Sv+qVCowGo3o7e3ltFHqiBWPx7G6usqFgaipBXmGBFmL3AVSKqTQpfe01XmnORQ9Y1KuxJAWj6f5F8l75AkC4HeInh0ZMlK+DimU7Yy5HV+CoPKlpSX2rkulEhfUoXayhDxRDFuhUKCrqwsOhwMnTpyAxWLhSosU12801ivniRXb2r1vokLf6tzTv41GA5lMhlvd3rp1C+FwGMlkssU4kxbWIe/a5XKh0Xi7kFe1WoXdbmf432w2Q6PR8P1TzrpY/nU7XIQDDxDSS0ZWOH22GRx5P9LR0cG5g8888wxeeeUVTE5OciU2qZw8eRK/+7u/2/LZ5OQkotEoarUaEonEXdb2diyo/ZR0Os2W5EGiAuSd/fCHP8S3v/1tXL9+fUvfIy/27NmzeP/7399SXGS/76fZXC/v+LWvfQ0/+tGPEAgE7vmsr127BgAtJCPaXPV6PVwuF0ZGRrjl4EGKOK+0YRFMDbTWcSYWLvB2ARZRkdAmJKbXkEKhrmBSApf4TDd7tiJMrFAoYDQaoVKpYDQamSRHMUsiUBHRzWaz4dixY6zAw+EwEokEpqenUS6XEYvFODRAUDsZJaTACR2gexJLv+5kTYoGlOgMiKRY8fmICpzmnEhT9DfyHKXhATGVT2TUi3vYVvcvOo4KsKysrOD27dsIBAJsBMrlcg5P0vMg0jIVAfJ4PBgbG2NI2mQysfIWy5GSJyw1KnfqnIjrmRrfzM3N4c6dOwiFQsyjEGF74jqIHrzFYmFiYTqdRq1W48JA5KUTgbPZbLZkPIgZBlu9jwNX4FNTU7hz5w7u3LmDZDIJABgZGcGjjz66L6lOTzzxBM6ePctEItHikclkbdnwTqcTL774IkZHR3H79m18//vfZ2hauvE8SBB6f38/stnsgTPQa7UaFhcX8bnPfQ6pVGrL32s0GvjRj36E27dv43vf+x4GBwdx9OhRnDhxoqW9415LuVzGzMwMLl68iO9///st1rkoMpkMZrOZN1byPkQvir5HrPTl5WV0dnbuexwfaGU/k3FEXluxWGQFTt3CSImJOcq0OWUyGczOznKZ1Ww2yylAnZ2dLUxkIlvRGMQfsQDGRu+RTCbj8pVut/uuMEBvby/kcnlL6ctGowGtVovOzk4+tlqtchWwarUKlUqFQCDALSHF2uHFYhHhcBhWqxW1Wo0NFTHta7u51aJxROeizZw2eirNSXwWGhPBr2JVSWmcVaFQcLoTzYNYhKfdHN/LAxQdl2azyRXxIpEIlpeXMTc3xwx+p9PJz5p4OKlUikvyKhQKpNNpZnhTBTQx7ZDmQIxfS3tl0OdbfQYiOlGpVBAMBjEzM8MtrtPpNId7xD71RqORx0ENcageAt0jACbBUZtaMoaJgEj7A62bdlyKjeTAFDg98Pn5edy6dYsrtWk0Gi7FuB8M4p3E2LVaLfr7+3kTmJubg1wu557gJJVKBYuLiweyGbcTkcX6IAi9fCqVij24zaTZbHJFpmAwiFQqxXmvxWIRfX19e9IqVCq1Wg3RaBSRSASJRILHrlarYTQa4XA4eGO1WCzMkKYyr8vLyy2IEwAOIdy4cQOZTAaFQgEul2vDbmZ7IVLFKXq3pEhFBSXGSmmjJLi5UqkgGo1ibW0NqVSKG1SYzeaWanii4hA3ZZKteOHA23W3KSdYjNlT+pdGo2mBi8nLo8+orCqlW5LyjMfjSCaTDJtS+hN1NqvVatBoNC3xS5rH7a5FcR7E+K5olIj3TIpbfD7i82t37nbzKXU66PfteOCiwUDjIyRAzPOnBiB0DKGwZAjLZDJGb0wmU4sBIi1eI65NaehyK3MvHktzXiqVkM1mkUwmmVhH1fqohWhHRwfMZjPvNxTzj8VifD90bmqUs7a2xtcVG6+0G6t4H5vJgSlwgsn/7u/+Dt/97neRz+dhMpng9XrxMz/zM3j22WcfKGUjik6nw7Fjx3DkyBHUajU4HA5cuXIF/+t//S/2rggm/uM//mP8+q//Ot75znce8KjBJSYPOgauUCgwMDCAX/3VX8Ubb7yByclJbjRxLwkEAvz7xMQEvvGNb+DJJ5/E2NgYfv/3f39fitRUKhVMTk5idXW1pU90Z2cnnn76afzar/0ax0nJW1UqlVyL/rd/+7cxPz/fwp9IpVK4ceMGXnrpJQwODmJ4eBi//du/jZGRETgcjj03SmjzIu9SHD95Q8SqpYplpLgphke/U2OZGzduYHp6GoFAAC6XC93d3ejt7YXf7+d8WvIiN6r9DWwtlkkbKaV/abVahoUJ/hbvgZ4bFQohL5HYzz6fD8ViEbdu3eL66mKKFhV+6ezsRLFYZGiU7kEkt21F2m3g4nsqNichpI/y3Km+e71e57rbZJyI5ChahyIBS8xtls73VsZO4xRz8vV6Pbq6ulCtVuFwOBh+JpSjWq3CYrFwyCGTyaBcLmNlZQVLS0sol8sMq6fTafj9fpw5cwZ2ux1ut7sFyhZRIjFEIyWDbTZ+UVmSAhfTHk0mE5544gk4nU50dnaywUTpbDqdDmtra4jFYvjpT3+KWCyGpaUlfq6RSITDlz6fDz6fD0eOHIHdbkdPTw8/TzLYpCGlzWTfFTgRYgiiWF5e5piIy+XCE088AY/Hc+Aw772ENi+5XI4TJ05wHEoK5UgbuB+kUDu+g47Ly2QyOBwOPPnkk3A6nTh9+jRzCjYSyhUlght1eqtUKgzTnT9/HkNDQ3teNlUul8NqtbaEV3Q6Hd773vdyzXWRvUwbKNXmpla2dC7RgyqVSlhbW0OtVsM3vvENDA0N4emnn4bdbofdbt+T+6HNkDp6JZNJFAoF9lypWiJBsNTpjbwgUlr0t3A4zO2DE4kEDAYD7HY75/SSspNChKJXRePaDglMJJOJzSOIgCaylMX8Z/H75IlRvXSn04lsNsu9EUhJVioVFAoF7sFNZDdRtgOjbxSCEf8uKina7MWcZCIHigpOVEzEzpd64eKciwjAVuZcKuQ1+/1+DlEQG5s800ajwUgJFWkiNI1awpLQu+Dz+dDR0QG73X4XN6AdCW+r60Ya9qQ1JFZeo9BMZ2cn+vv7+Rpk3Op0OuRyOc5jJ2Y9GVg0TgoXUrGgdDoNmUwGo9HIsX4RzdqK7FiBixbbdicsn8/jxo0b+OxnP4vFxUVOefD5fHjnO9+5L3XRd0tkMhlOnjy5JdjqoCWXyyGVSh24Bw6s8wieffZZnDp1CrlcjiHKjWRiYgK3bt3C6uoqk4sonry4uIhkMonvfve7qFQqe67AFQoF19Qm0Wq1+MhHPoL+/n74fL6236N2iKlUimNl5N2SZ5ROpzlfOplMor+/n/sR22y2PV1L5F3HYrGWFqzUEpJixCKZigwV8mqpvejs7CxWVlYQi8W4glZ/fz9cLhdMJhNDpyKEKW6iQPsylxuJSGQD3q55QApDLFYixk3pO2IaW71eZwSCFDgZaxS7pX2Mfijl7H6M43bGDBlHIpxOSpvGQXNP9yrlEYgGWrvx7dZeS8YeNYTp7OzkNUUpYzQ+m83GCjyRSHAuOKUcUrpfMBhEJpNBT08PtFoturu7eZ8V2fXiWtqq0PEinC8ywmktkQL3+/0YHh7ma4lV/4LBIGQyGdLpNFKpFIrFIoxGI2w2Gxu2tG8lEgk0Gg04nU7IZOv19W02Gxu2hBhtRZHvSIHfuXMHn/nMZ/gm3vOe98Dr9aK7u5thm3ZCHaO++tWv4vbt27h69Sry+TwMBgPe//734/HHH8czzzwDs9m8k2EdqGg0GoyMjCAUCiEcDm9r89kv6ezsxODgIG8KD4JQWo7Vat10TF6vF48//jgXSVhcXMTrr7+Ob37zmwiHw2zhkme7l0IKQCTT1Go1TExMQKFQoLe3l49tNpvIZDJYXFzEl770JW6LSOd45zvficcffxwulwtra2v467/+a6RSKWSzWU5r+qM/+iM89dRT+Lmf+zmGEndTSDlQ7G9tbY1ju4lEAmazGT6fj71S2uTUajX30aaUoTt37mBlZQUzMzPI5XIwGo149NFHMTAwgOHhYVbetJFLmzy0i2FuZ62KnqmovKlxhHhdUQnSMyQPm66p0WhgNBrh9XrZU6QyrMDbfcIpvUmEprfjSYmQuTSzgv4VYXRpjJQ6wBFSQKlzwNvkOAobkPKj87SLi4vktM2EYtPksW5kfImIgEhOrFar8Pl8rOQKhQLm5+extLSE2dlZbiYTi8Vgt9uRy+WYbyAdq3TutmKY0P2La06tVnN8moyOtbU16PV6eL1eXieEAGazWVy+fJnbGtfrdXR2duLIkSMYGBhg1G1ubg6xWAzxeByLi4uIRCLI5/NwuVzw+/1crEbMC7+Xwb4jBZ5Op3Hp0iWGjTweD+LxOMrlMgwGA+d+EnGkUqmgWCzizp07WFhYwFtvvcUkJK1WC5vNhpMnT2JkZAQul+uB8Vi3IyqVCr29vQwhikId16iC0EGJwWCAxWLhDVOEFg9KyIq9V9yaeniT51Or1WC1Wpn9C+AuYtheCcX56IeqyS0sLMBkMrUocCJB3blzB9euXcONGzcYXvN4PFyMxu12Y3V1FefPn8fS0hKzn4kAQzniR48e3bP7Iri5WCwyYx5Yz1GnvGki8pAnTpvu2toaIpEIFhYWuKCIRqOB2WxGd3c3vF4vTCYTx1vbKWlRqWx3TYpKghACES6nGKNU8YkkMRqL2MOA9jCTydSSgyz1bInNTecSGeX3UoLSv4sEQfo7jY8IYNKYNcX96bqUbgWA55zOK15PzGeWIgD3ElHxS0MS4pyKP3Q/9HyoAA8AroueSCQQjUZbjC4xbLARSe1+0E561jSXFDZKpVKoVCpIJpNcLIeIehRCicfjzJOg+L3H40F3dze6u7sBgFEaqu5G6GE8HudyvHa7nYmWWzVad6TAC4UCFhcX2eO5fPlyS5ygs7MTTqcTdrsdp06dwp07d3DlyhVcvnyZa97SYj9x4gSOHDmCD3/4wwwpPIxitVrxC7/wC/jGN76B6elp/lwmk2FmZgb/9//+X/zcz/1cy+a+32IymRiGLRaLCAQCcDqdrBwfBslkMlhYWMD/9//9f5ifn8fKygrK5fKeda9rJxqNBidPnsTCwgLGxsYwOTmJTCaDv/3bv4XL5cKXvvQlPrZeryMWi2F6eprJTwqFAiMjI/iP//E/4uTJkxgeHoZcLsfIyAjOnDmDr33ta/jHf/xHvPXWW1wGNBQK4erVq3jqqaf29N5IkcZiMQSDQUxNTXHJVKPRCKPRCLfbzQU4qMnM/Pw8EokElpeXOT1mbGwMfr8fjz32GAwGA9RqNcO91JKU4Ot28PF2WNC06YkKnOBxtVrNCAMpXjHnlmKV5GyI8WytVsvk2kqlwhs6kaWI9EdGGd0XzeVOwlViPFpk6ZNTJBK0CAmhinJEFKNeAc1mEzqd7i62vziudmO8l/cnhjtEEqNIhqR0PDIcxNx5KmRC6X8ajYYV4urqKoLBIEKhEABw+2mTydTiHYsGnxRV3I4eEVGIjo4O2Gw2dHV1YXR0lHuTX716FQsLC7h9+zavDSoHG4vFGJnp6elBV1cXnn32WQwMDKCrq4v3W5/Ph9u3b8NgMGB6eppz4kW0iMa+1fHvSIG7XC68733vw6VLlzA1NcWF28PhMJMQzGYzdDodVlZWsLa2hqWlJYTDYRSLRWg0GjidTvT09ODpp5/G0NAQ7Hb7A9M3eydClpuYzwqsP4xsNotAIHDgNdHFggGVSgWxWAxGo/GhUOC0IfzkJz/BnTt3uBFItVqFRqOBzWbDmTNn9s1A6ujoQH9/Pz7wgQ9Aq9ViYWEBoVAI0Wi0ZUOkHOp8Ps8FHc6dO8fetNPp5FgbWeLj4+NcO3pxcZHDTB6PZ88Y9gTpE+uWFEIymeS4HeX4ptNpDiHQvSUSCZTLZVitVm4aNDQ0BJ/Px/23Re9X9NQIERL/vxNDvh2DXfwb3ScpQ7omKXyKI9P36TgxXxdAi0dI2TRknNHz2Y7xIRXpBk6/0/Wktc6B1k6LZKwQKYz+LoqobKWyHehZ/L8YqxdDE+LfaMwiEknEr+npaYRCIdy+fRuxWAzFYhFms5nXE8WIpVXq7iccKKIp9H+9Xg+n08l1MyKRCIe0crkch32oWmSxWGQjY2hoCF1dXfB6vTAYDHyvMpkMLpcLyWQS6XSau5VZLBbYbDYYjUYu57ud9b8jBd7X14eXXnoJf/VXf4VoNMovL8WINhOVSsWQ+QsvvICf/dmfZZjhX4K0g+jIa9yP+OxmQht0R0cHSqUSVldXD7Rs53aESjR+5StfwZUrV3Dnzh3eaClv913vehd3udoPOXbsGPr6+lCv13HhwgWEQiEkk0kuSCSKTCZjT+43fuM3MDQ0hMHBwbuOUalUOHv2LI4dO4ZLly6hVCpxGtbQ0NCetdltNBrccMFutyOdTnNMnHJ0SURmM23SBDv29vaiq6sLg4ODTMAzGo3sddH1pClR9PlOYVBSRO3Sb8TcaDF3mv5G3g95QmKpVwAM84rtI+k4Cg+KJLLtFnCRkvdojKTsxHujTAHqWy5WgRPjyrlcjqFagoZFZUVQOv0rVYLb9WBF9IMMDdGQIsNKDJk1m03WG/F4HG+99RaWlpZw/fp19qq7urrQ2dkJn8/HELN4TfFnu+MW71WcF+JgEcfDbDbj4sWLrHwJAaDaAQSZO51OvOMd7+CYNoUAqJaD1+vlND9gPeNEo9HAYrHAbrdzOdbthDV3pMA1Gg26urrwb//tv8UHPvAB7jh08+ZNXtyXL1/mjj80SSdOnIDf78fzzz8Ph8MBl8sFh8OxkyE8sCKN9Ygv40ELdYVzu91QKBRYWlri1J79riVOLzSVW1SpVBxyISFG9Pnz53H79m3cunULV69eZca6TqeD0WjEpz71KZw6dQoDAwP7CqUrlUoYDAZ88IMfxOnTp+F2u7mufiQSQbFYhFqtRk9PD5599lmMjo7C7/djZGRk045jHR3r/Z3/w3/4D5xe43A44PV6YbPZdv0+yNOkSmU9PT3Q6/Xw+/0YHBzkwiX0E4/H2cOjPGSq8zw8PAyXywWfz8fGIikXse65lEQlLcAj3Zi3K6KRQPAxGQsiQUskslHOPnndopImbg8pHjGjIJlMIpfLQafTQavVtoV0t/ocpPuHGF8m+LxSqbSEBwiBKhQKnI6UyWQQj8ehUqm44IiIDkpJcjuZa3HuyHihDnvi3k+1zHU6HXuvtH5CoRACgQBWVlZw7do17idA6/3YsWOcO200GjlsQcaC+LzFeaTxbWfuRYSA4Pp6vc4pbMlkEtFolGPglDLX3d2Nvr4+eDwe+P1+zsEn5r1I+rTb7VxpjkI1Go2GSYjiO7OV/XhHCpyK+lO6DgXyKdWEuvVIvfGzZ89iYGAAzz333AOf570TEYtabKUoyX4LwTxWqxUymQyBQACpVIrjd/ulwMlrIdbyzMwMp5309fW1sDuDwSAuXryIa9eu4erVq5yDTCkabrcbZ86cwZkzZ1oqfO2HkJIYGBiA3W5HIBDgcJHNZuNCECMjI3jqqadw5MiRDVPMRCGFRt379lrouZMSJaVhMplgsVjYM6U2mjqdjnsdUyzc6/XCYrFgcHCQ6z6LsWIALQqkXRrqTjZeqYipYu3OuRm7mgxtsY44jZ/i5KLnLho1NEcitL0TBU7SziMWnw3QmstOpCuC8On5FAoF6PX6tgpB5Blsdu2NRERiiMRH6V/xeJyRDJPJxERA2iMplXJ5eRmrq6sIBAJIJBKcfuVwOOD3++H3++FyubjGvejpi143xdm3s4dJEQ66F+Btcq3L5YJarUYymUQqleJueoRYWa1WDAwMoKenh41Y4iGI80LPijzuer3eUgSKECyxhPFWZFcKueh0Ou7EQpP6oQ996K6FQJDPv0TlrVQq4XK5GFWIxWL8gO5nQ9ptUSqVGBsbw+3bt/HXf/3X3NGL4jV7LZRu9cYbb+DP//zPueWgTqdDb28vFhcXceHCBUxMTLAHlEwmeYOkgiZPPfUUxsfH8cgjj2BoaGjflbcotP4/+clP3sWYJWUslk18UIU2V7VazRuRmF9NseJMJsPKSvQMCTkAwD2fqRGIWMqU5oe+K1W0mynZjUTcuMkQkZYYBe5uFEFKWUw1o7BBrVZjaJPInpRzTMaJNI5Oc3I/tRZE9EFsBEIoBt0vXZPIeXQflUqFi4pQjQ0aI4nIkr8fIUVKThu1kKVKhclkElqtFnq9Hp2dnWwwzM3NIZVKIRgMsvJyuVywWCwYHR1FV1cXuru74XK5WpAPmuN2BVh2YoTQd8U8+1KpxOcj5IUqwAFvZ7sQ58FsNvPfxBREMoyo1DLVe7BYLNxXXDT4aN3ueQx8o0kQCTYUq/h/Rchao97nVB7wQROVSoXHHnsMnZ2d6O7uxvDw8L4pbwD8UsjlcqytrTFTtVKpYHV1FW+99RZmZmYQDAYZoiuXyzCbzVwjn8rt9vX1we/3c+GDgxS5XP7QkjClHpiouEXlRoqEPAUSUnzSjYcMlq3mRIub7m4YvSJsLt6XmKZDa4z+pfugehYajaal6xUZKc1mE2azmeOWBA2L196ucqTvSMl+NO+i9y+F/wld6+3tRbVahUKhgNvthsVi4RaqopISr3k/IhorZKySUUZQeiwWg1qtZsRGoVBwHXlCcy0WC7q7u2Gz2dDd3Q2n0wmbzQadTtfS0Y5Eqrx3ej/tyIZiyh0dIzZMEeF2KuQi9oanz0VDXppmKNZAF3+2iyI82C7BQyRqtRoDAwMYHBzE0NAQgsEgcrncjkk5eyU6nQ6f+MQnDuz6crkcXV1dsNlsnGcMrFu1gUCgpda5KJ2dnRgbG8Pp06fR39+PD33oQw+8R/swiQhHSpnDUoIXeXLipkYblBhDpg5S7WJ64mYoXv9+WcXi/UiZ2mI8XlR+4n3TcQSZGwwGDtsA60aJ1Wrl4i5ut5t7PO9GIx2pkiJDSdr0grxRKkhjtVq5FzopH5vNxvA5GcLtSH7trr1dIWRVp9NBr9fDaDRCLpejXC5jYWEBzWYTq6ursNvt3ECKYr9utxs+nw8DAwOwWq3o6urilEVinYv1HchoEBXs/Uo7KJ3WDz0H+ozWv9jAhsJ+xCQXuTgil0IkUkrXy064Uoc74B6IlIBjMpkwODi4KXHp/xUh67Orqwsf+MAHcP36dSwtLXHZyrNnz/Ii1uv1nB5G6Ul2ux0Gg2HbTN9DubdImdviZk8bF3moIpxLx4tkMfqeqEg3KuCyl/dBYyDFLabpiN438LaSFI0OIlsBYA+X8qrFkJler2+B43dDqYjj3ijtTizI1Gw2odfrW8hvpGzaFQe5H+Y2iRT+NZvNLWMZHBzkypQUp6e6+kSws1qtrNg1Gg173aKCEw0s0SjbDaFriBwNqdFHcynd2xuNBhfNEVEXEeKn9SCSKMW/ScexHTlU4HsoMtl6P3GyKv9fCytsJNSU4OzZswylaTQadHd349FHH+XFTWlX73nPe3Z1YzyUjaUd2YsUtwgtikpFunGJ3yVFs9mzE7+/WwpdqsSlMCV5rqJhIXp0tNGSZ0XvstPp5MIwZFRSDi95i7sxdilC0Q7qFY0Q+r8Y2qC/36uy1/3OuaikKJuFWNrUwYuMIqofQMVbbDYbzGZzSzMPAHe97xshOHsh4rWkKXjSa7ebX/EzaWqkqPx3A509VOB7IPRgLBYLPvzhD+OZZ57Bhz/84Yc2Rrrb0tHRgaGhIbz00kv4tV/7NSbaiCQo4O3YqejpHcreS7tYtLhJk9Kj7mpiGpFUuYtxZzHPWTx/O+V0vyKek64tetu0ydK4N4NkG40Gk3QNBgM3BSEGvl6vZ69SrJJ2P2OXijTtjp4FebvivdFx0g5pe0mmpXEQhKxWq2Gz2XhchH6QZ01eNiluavVKBXXombRTjtIwy16hOFLUSDr39BnB+7TGSESyJtDKXditMR8q8F0Wr9eLs2fPQqvVotFo4Ny5cxgaGnooqp3tpygUCphMJo7bHcqDLWLBj3besqjcxR/p30l2A77dztil15USutqNQ7w/MY+ZQgKkeCjDYC/4LhtxA8R0OSnpTcxnlhpI9wvZbiai10qKWoSSyfsWPXHR+KDMBmnd862gCHslGxmz9H8yTkTlDrQWD9pt4qAosnuc7MHJfzqUQzmUe8mWd+Q7d+7s6ru90T7yoIU8pEaEqNBF2SheLJ5jJ6zhncpeoBQHIVJIXAovt/t3s9/3WrbybNutjXZ/ux85cuRI24EceuCHciiHct/yoCnqjaRdHBloX/97Mw99NxnQW5F/CcobuDtV7l7Ix3b+theyXcN0L/gcm8mhAj+UQzmU/+el3YZ8mOmwN3JQ3vRuyoNiZBwq8EM5lEPZseynt7EXsl0P8EGSh3nuN/K+Hxa5V0ijHd9jL+RQgR/KoRzKtqTdxivd0NrFNttB0gehQO8F3YrX36zd5n4qoM0gW/HfjdKu2h273yJdB+2Ij+0Y2tJ72SxWvpfjprFIP5NmO2z2fel57lcOFfihHMqhbCobKWzxc7EmuFj8glJxRGYxAC6oIsLUYqrUbks7I6IdM17Kdpa2KSXiWruUuL1Q6O3ywcXxinngzebb9dDbNcSg+6Pf91PEuRVTtKhpCI1bZKXTcbSWSNqlmO3XmgFan7mUKS/WGpCeRzQcRe7F/aybQwV+KIdyKBuKdHORenhiXquYAyt6VVQLmkpJ0oZMBVXEKlb30wRkI5EqLjG9h5QG0KqkAbRUMpNuvO3Gu9ee+WaKQaz5Lj6PdgpfmkK3F+PeyGOWNrIRa+7T38Q8cGqAJVZlkz7LvVbeUuXcztMWDTv6obFRVzY670ZraSdyqMAP5aGSdjmi9ML8S+xy9yBJuxQgAHcpb+nx9LzoGPK46AdA2zKV4jl2KqLyFj3Vdt6pCENTc5KNYp1SpSlu7Lsd3xW9OnHexeuLx9LfpJ+J4xZlI+j3fsYrFXENtIPQgfXnU61Wkc/n+TitVsu59uK591J5i2MWDZ52z0As3iKWlCUDUYoq0Xqif+93zRwq8EN5aKTRaOCVV17B3NwcLl26hFgshmg0ivHxcQwNDeF3f/d3D6vd7aJstKFsBDtLf0RFTwYWlRzVarWo1WrI5/PI5XLchlEmk3FhFNFD28nmRpsnKYNarcbnIq9PqVS2eIUy2dvlSEU4l7qTqVQq3tCLxSI3cZF6U7uZH06IBf3QnFMHrFqtxuOjMq+VSoUrm9Fcit0iySvcTQUoVWz0f3oONE8ymYwVs1arRS6XQzabxeTkJKLRKG7fvo18Po9SqYTBwUG43W6cPXsWRqMRBoOB23OStGtqtN372igLQeyyJ5evd+Kj0BAVnhFF6oHTZ1T7nc4l9gvfSrnhjeSBV+DlchmpVArJZBKFQgFKpRIGgwG9vb0HzmLMZDLIZDJIpVJoNt8uI0g9X+mlOgip1+uoVCoIBAIolUooFAqwWCzQ6XRwOBxQKBQPhcfabK5XaEokEohEIrhy5QpmZmZw5coVJBIJRKNR2Gw2OJ3OB4qNS5t/JBJBPp9HIpHY9Hjqiex0OqHX61u6GR2EbEbyknp+UhISeaOiUiSFSd+rVCooFAqIRqNIpVL8blN/ZbVafRdkvFMRDQoah1j2VPSEgPV3p1gsolgsIpfLcVxfq9VCp9NBq9W2dJSSzs9uixTiL5VKqFQqiMVirKgNBgO0Wi0sFktL9zfx93Ze3kZEt52KaLCJCIaopERPNZ/PIxqNIhKJYHFxkf+lJjIWi4Xbt4rfF40BsSb/Tu5BiizROUSvmQw7qsRXq9WQTCZRKpVaEAOxF734mUqlgs1m4xrwUg4JyXY98QdegQeDQfzTP/0TXn31VVy/fh0ulwvnzp3Dn/3Zn3F85KDkypUr+PGPf4zvfOc7KBQKGBwc5J7g73nPe+D3++FyuQ7E0MjlclhZWcEf//EfY2pqCrdv38Z73vMejI+P4xd/8Re5k9KDLtVqFdFoFC+//DK++MUvYnJyEplMBsDbUOjIyAhOnDjxQOXtVioVpNNp/N3f/R2uXr2Kr3/963dtLKJScbvd6O/vxyc/+UmcPn0aJ06cOKCRb0yYksZOCWZWKBTs3VG7UWo/Sn8nhUltLVOpFCKRCG7evIlQKIRMJgOfzweHw4HR0VFYLBZWttQI437uh8YqQrL1eh2FQgHlchnVahVarRb1eh25XA6zs7NYXFzE/Pw88vk8qtUqHA4HHA4Hjh8/DqfTie7ubm4jKsZv78Vavpe0O5ZKjNZqNSwsLCAajeLixYvsQHR2dsJms2F8fBxutxvd3d0wmUxQKBQol8v8TKSMaWlsWRoO2apXKHredF76rtjWlRycjo4O5PN5TE5OYnJyErdv38bq6ioKhQKKxSKjDRqNBgaDAQ6Hgz3wVCrVQoYkVERK6NuKiGtd2m5WRJZIeavVaoRCISQSCbzxxhsIhUJYWFhgI7RcLvN6ox+73Q6Hw4FHH30U3d3d6O7u5qYvUhRkuwbrA6XAqbnA0tISIpEIbt26hZWVFVy7dg1TU1Ps6UYiERSLRZ70vZB6vY5QKIR0Oo2VlRXE43FWHCS3bt3C5OQklpaWeMNaWlqCTqdDIpFAT08Pnn/+eTidTrjd7j0Z50ZCcxYOh6FUKnHkyBEkk0lcvnwZ+XweLpcL/f39sNlsMJlM6OnpgVqthlqt5jrGBynNZhNra2tYW1vDD3/4Q7z55psIBAKwWCwwmUyIRCK8oU1MTHDdeafTyf2GD1JWVlawuLiI8+fPY25uDuVyecNjZTIZkskkFhYW8M1vfhOVSgUWiwUej6cF9twPaae8gbsZ2uLmIyp2ERIUOzlVq1UUi0Ukk0nkcjmEQiGEw2FMTU0hGo2iUCiwh0vvtejNbPceRA9H3JhpHJlMBrlcDuFwGIVCAZVKhRV4MplEIBBAMBjkXuAymQzhcBjpdBoA4HA4kM/nuRWmRqNpUXZinfLdElLChAyQwgCAfD6PRqOBGzduwGAwYHZ2Fna7nftqi3XIpc1mSChmu5GhuRVptyYILhYNuVgshnA4jGvXriEYDCKZTLIxRN+pVCpIJBLQ6/UIBAJwOBwtMWdS2CJ/op0Cv9fYpRwD8vDFxiqiYo1EIggEApiZmUE8HkcymWQjic5HndUajQbW1taQy+VgtVohk8mg1+vhcrm4/SzN/U7QpgdGgVPcJpfL4fbt27h9+zb+/u//HtFoFNFolB9IrVZDKpVCsVhk2HG3hR7c0tISlpaW8Oabb2JmZgarq6stx8ViMX54AJBOp/kluHPnDnp6euB0OjE6Ogq73b4rnYq2Is1mEzdu3MCVK1eQSqVgtVrR29uL69evY35+HufPn4fdbsf4+DgGBwfR2dkJmWy9ly+98AQTbgT17LU0Gg0sLS1hYmICn//85xEOh5FIJHDmzBmoVCpkMhmUSiXUajVcv34diUQCH/nIRyCTyfZdgZNio/hks9nE4uIirl69ivPnzyOVSt21aUrnNJfLIZfLYXV1FRaLBSMjI7BarfuqwKXKW1TS4iYpinTDJmhTGgskRGJlZQXRaBSLi4uIxWKYmZlBKpVCrVaDz+eD3W5v8eJEmHur9yCF3sV1nMlkkM1mMTc3h2g0itnZWeTzeZTLZWi1WlSrVcTjcUSjUSSTSdhsNqjVamg0GuRyOVQqFYZ2y+Uyurq6uD0uQaMiJH8/7047wla9Xmd4mTxqtVrNDkQgEGC43+/3w+FwYGBgAHq9HmazuSWWL32O9IzJYyYFtBXFIiVmiWEUasdKjoFcLkc4HMbi4iKuXbvGBpTL5WKUJpPJoFwuI5FIQKlUYnl5GY1GA0ajsaXHOXn4UgVOz307cy0qcQrdUcc9pVKJWq2GarWKUCiE+fl5XjvEMxDJmWazmQ2uYDCIVCrFoTGHwwGLxdLS0GWn6+TAFThBVt/+9rcxMzODixcvYnl5GclkErFYjK03q9UKq9WKn//5n8fx48c5jrubUigUEIvF8K1vfQtXr17F1atXkc1mkclk2JoVlXA+n0cmk4FMJoPT6cQv/MIvQKfTQa1W4+rVq4hGo/jjP/5jDA8P45FHHsH73/9+9Pf3s5exVyKTyfDhD38Yzz//POLxOMfGIpEIotEovvzlL2NtbQ3T09OYmJhAs9nE5z73OWg0Guj1eu4S9qEPfQh9fX04efLkno21neTzeaRSKfzZn/0Z7ty5g3A4jBMnTuDMmTN43/veh1wuh5deegmlUgnA+uaRz+fxl3/5l3j3u9+NwcHBfRkn8Qz+4R/+AaFQCC+++CLS6TTu3LmDl19+GTdu3ECz2URvby+OHz/OvY+HhoZgsVjg9Xo5Fvzf//t/x9zcHKNL2WyW2xTut2xE6BFjqdLNkghher2eFXAkEkEmk8H8/Dyi0SiWl5exuLjIfBZSyjabDVqtFoODg/D7/XC73bzZ0eZ8r25UUo9LhEKr1Sp7/bOzswgGg5idnUWhUEChUIBGo4FarYbBYEBHRwf0ej17XkajETqdDh6Ph98PIlidP38eLpcLS0tLOH36NNxuN5Mot6PEpTC71IAi5Ucd0fr6+mC32+F2u6HT6WC1WpHNZpHNZnHx4kWk02nE43FMT09jenoaV69eZQKh1WqF2WzG8PAwrFYrvF4vK1bRAN2utMtEkLK3FQoF70Hf/OY3sba2hng8joGBAQwNDcHj8aBSqeDChQsIh8Mc308mk7h58yZKpRIjHmq1GtlsFgA4PfF+RGSc1+t1pNNpRgkqlQqcTidf48aNG5idnUWxWOS5tNvtMBgM/Iy8Xi8bri+//DKi0SjS6TQjP/Ru05yTwSONvd9LDkyB0+aXSqUQjUZx9epVTE5O4sKFC0ilUrw5q1QqWK1WeDweeDwenDx5EkNDQ7vaI7rZbKJYLCISieDOnTu4cuUKLl26hMXFRcjlcpjNZni9Xvh8vpYX0mAwwGQyIR6Pw2azoaurCy6XC3a7HeVyGXNzc7hx4wbHAs+ePcsv3V6LRqPhF8hqtcLn88Hj8SCVSmFmZgYWiwXNZpMhzUQiwZtXNpvlxVYsFnc9LWYzoRDJ4uIipqamEAwG4fF4MDQ0hLNnz2JsbAzJZBIOh4PXSKVSQaPRwNTUFI4ePYpyucyFQvZSyuUy0uk0JicnsbKygve///2sfOlF7e3tRVdXF06dOgW73Q6LxYLR0VFYrVZ0dnaiXC4jm83CZrNhdXWVN5GDUt5SkRLAKD1GmookbjziJkjeNinwYDDIoSiNRgOz2cxhEbfbDYfDwUYwwaX3o1To3U4mk1hdXcXS0hJ7REQ8NRgMMBqNcLvdkMlkMBqN0Gg0PA6NRgOLxQKbzQaHw4FYLIZ4PI47d+6g0WhArVajv78fRqPxvhCTzYiDIquflKHJZILFYkFnZycr8NXVVSYAUuxeJOTRsykWi9DpdC0eszQ3fqtzLpLUxDGTQiLjAFhHKYPBIFZXV5FOp2EwGOD1etmoJbJtPp9ng6rRaCAej8PpdKJQKMBut7Mnv1G63FbfffEeRcOU3stEIoFSqQS1Ws17Cq1Ji8UCp9OJwcHBFgdPp9PB5/Oh2WyiXC6zgZVOp1vS6DYah/jZvfbdA1PgyWQSy8vLePXVV3H79m1861vf4rQM8WZ8Ph+ee+459PX1obOzE+9617t2HSKtVqu4ceMGXn/9dfz5n/850uk0arUazpw5g6NHj+KjH/0oBgcH4fV6WxZGOp1GKpXCd77zHcTjcRQKBfh8Pjz77LN4/PHHMTMzgxs3biAajeKVV17BY489BrPZDJvNtucx5m9/+9u4ffs2FhcX8dRTT+FTn/oUdDod9Ho9XnrpJX6xKQxw584dTs+guOP4+DgcDse+Ke9Go4FSqYSXX34ZX/jCF7C2tobe3l783u/9HsbGxnD06FF0dHSgWq3iueeeY+iNiDw//vGPsbCwgPn5eXR1dcFoNO7peCmGd+HCBcTjcQDr65U2ovHxcXzsYx+Dx+NBV1fXXTAd/V6v19kLPIhwhVSkkC2AlvxWekdFI7pQKDCaVigUkMlkcPPmTQSDQdy6dYvfFfLSbTYbbDYb+vr60NXVBafTib6+PhiNRphMphZvaKNNWhyvVIHIZDIuHjM3N4f5+Xm8+eabiMfjqFQqOH36NPNAiBzl9/uhVCrRbDYRCoUQiUSwtLTE8fHh4WEcPXoU0WiUQ2vxeJzTnfR6PSwWC7/bW2V4ixu1FOUQDTnifMzNzSGRSKBWq6Gzs5OVh8lkwvPPP89zRsY5cQzS6TTzXCwWCxsq0kpoYg7zZgiCiBCIypSOp7QpvV6PRqOBTCbDKaDZbBZmsxnve9/7cOzYMYyOjiKdTiORSKC3t5fnkmLRlDKaTCZ5HxY5DvQjxsA3M0KkZD76HQAjNvT8i8UiDAYDLBYL7HY7RkdH4fV6YbVa4XK5cPToUX4/stksOjo6YDKZUKvVUCgUWnSGQqGAVqvl4wnpkcpWwy/7osDj8TgikQiCwSDK5TLUajVWV1cxOTnJJIZisYhqtQqZTIbu7m7YbDb4/X709vbiiSeeYO9Fp9PtumdVrVZx+/Ztjsd1dnbC7Xbjfe97H/r6+jA4OAiHw8HMQVFUKhXOnj3L6SY9PT0tFmc+n+cYEKUT7LXQBhQKheD1emGz2VqUBkFmxAY1Go1QqVQtm4VcLofH49nXdKZKpYJIJIK1tTWEw2F+sY8dOwaPx8Mbo1wuh06nY6id4prEgG5HxNkLkVrrkUiEmdRnz57F4OAgs4E3eu7lchmZTAaxWAzpdJo9wb6+vn0nsImKpN3mR563mEaWz+eRzWYRDodRKpVYiWcyGUxPTyMWiyGRSKDZbMJoNMJut8NsNsPlcsFisaCrqwsejwdWq5XniYhwpLCA7bNzSflRHJUUgEqlgslkwtGjR+FyueDxeO6qoCWTyWAymfieK5UKFAoFLBYLNBoNn1eaIyyS5cRxbGfupcpcLPJBrHlKnySGOe0thKAB60qN7tVms3GBFBqn0+lknovUUBBlK/A/jU8ML5IhQNBwoVDA6uoq1tbWEIvFOATg9/uh1WqRz+eRTqeRy+XYyFAqlcxKLxaLjLRRLFrKt9hs7W4mouEhJfWVy2XOp6fYdl9fH8rlModUyHgRn121WkU2m0UymUQ2m0W1WmWkh0iFImwuPu92Cn0j2RcFvra2hitXruAnP/kJk6pmZ2dx5coVhnmAtxPeh4eHceTIETz//PPo7u7G+Pj4nhLAqtUqLl26hMnJSeTzeYyMjOCRRx7BL//yL8Nms22YL005fefOnWt7zlKphHQ6zQ+bckj3w8sKBoMIhUI4d+4c/H7/XUxeuVwOlUrFIYrOzs49H9O9pFQqYWVlBWtra0gkEnjsscdw5swZjI+P30VK0ul0qFarCIfDXAyENvz9UuAk5XIZ+XwegUAAJpMJw8PDcDqdW/puoVBAPB7H2toaUqkUpwAdPXr0wPL0Re9E/Exq4AHrtRBWVlYwOTmJdDqNarXK3t7KygpyuRzK5TKMRiNcLhdGRkbgdrvh9XphMplYket0OqhUKo4bkiG2HTKVOG5Caig0RrHXgYEB+P1+vOMd74DdbodWq0U2m2WyEgBWhFqtlgvONJtN2Gw2dHR0oFAosMEoKhsiMm0nL1lqNEmJhHSujo4O9uii0SjC4TCMRiNKpRIrcCqMQsqbxk5GOBlGIkOeFKJY5EZ67XayEVwt/k7nqtfryGazmJ2dxcrKCiKRCM6cOYP+/n709vYyRB6LxZDP57meBqWaUTiKyMLEUCelulMFLlWUNF6ROEnGWrVa5ZQwr9eLjo4O9p6JrEbrlRR/LBZDMBhkdLazsxNWqxU2m43RCdF4EI3Brcq+KPDl5WW89tprePPNNxlGy+fzzOCjOPPx48fxvve9D6dOnUJXVxeTW/aDvU2LBgDHswnq2IrQQ0ulUojH4/j85z/P6U2PPPIIXnjhBfzMz/xMW2W6F0Ie3+TkJGw2255fbzckEong5ZdfxtTUFORyOZ588kmcPHnyrgVtNpvxsY99DP/0T/+EiYkJBINBZLNZaDQahkP3Iw3OarXi6NGjsNvtWFxcxFe+8hWsrq7CaDTC6/XCYDBs+N1arYZMJoNXXnkF3/nOdxAOh+FwOPALv/ALOHHiBFvo+ylS5UEMWfGzRqPB/Ip0Oo35+XlcvXqVGblyuRzlchnFYhGlUgkdHR3o7+9nHsPAwACcTidvYsTcBt5ONyJ2tajQtrKpieMmSJW+RwWgbDYbx1BJ0Wk0Go5XkqFgMBig1+uhUqmYQR8IBDAxMYErV64gHA4zhErhPavVynFSUpRbUSRSOFeqRGk8RMjT6XQcn6c9q1QqoVwuo1AoMMpGhhCdV/QUxX+lnAbanzZbf1LDg46n5yYaCcViEaFQCJOTk0ilUlCr1Vw9saenh+Pzer0epVIJ4XAYuVyOvfJ8Ps/Pzel0QqlU3gXXk9EuVmnbCgwtjYHL5XI2yiitsFAoYHZ2FrVaDSaTCR6PBwaDgeeWCv0Qu58yGRYWFjA9Pc18g2PHjqGvrw9ut5vJa1Lkh9bBVmVPd7lms4lSqYRoNIq5uTmEQiGkUqmWY6ioQldXF0ZHR/HEE09gaGgIDodjL4fWInK5HFarFUajkWNnVGGHXvDNhLxtgn6DwSAuXLiAhYUF+Hw+HDlyBOfOnYPP52OIa6+FPIJ2+esPotRqNWZwJxIJyOVy2O12Nj7EeGi9XofBYIBcLkehUOAwhdTo22vRaDTsxTUaDczOzsJisWBhYQFarZYRjnZSqVQ4D/rKlSsoFotwOp0YGxuDx+M50Fh4u2tLPa5ms4lCoYBkMolQKMRehkKh4NgzvdterxednZ3o7e1lRUeEH8rNFlOYpB7UVlncNDYRViWkSa1Ws0KWy+UMy5IBQXA0eV2iAqrVashms0y+CgQCnJni8XjQ2dkJs9nMueA7Edq0CT2Qeu9UAIVyh6Xeplg2lngVhEZVKpWWMqzij2hktIPxtyNSEiMZDJVKBcViEYlEAuVyGXK5HCaTqSWrRyaTcVlb4O04dKVSQbPZZLIjhVClDH+pIULH3GsfaGdgicqYOB/RaBRarRbhcBg6nY7rFIjzRnNcKpWQSqUQDoexurqKer0OnU7HaBOlK4phhp2umz1V4LlcDpcuXcKbb76JCxcutC1mQS/ASy+9hOHh4QOpqKXVavHBD34QWq0W3//+9/G9730Ply9fhkwmw7Fjx/DEE09s+N1ms4m5uTlMT0/jL/7iL7C8vIzV1VUoFAp0d3fjT//0T9HX14e+vr59vS+TyQSDwYClpSXEYrF9u+5OhGL25M3lcjkAQCAQYJYnpRXm83nE43F8+9vfxtWrV3H79m1oNBp0dXXhpZdewokTJziuudei1WrZUm82m5iamkI6nUYoFMLHP/5xnDlzBkNDQ23RgFAohC9+8Yt44403sLi4yEbJ448/vq/G60Yi9XyJTdxoNKBSqVAoFNhgjUajHCekuKRKpcLAwADcbjceffRReDwe9Pb2tlRvIwVCniK9H+3CPfdSKNJYNHlSBoMBPp8P9XqdGcWLi4t47bXX4Ha7OQWI4pLEaahUKsw0D4fDuHXrFiKRCGKxGMeVn3rqKY7jajSaFgW5Ve8baO2uJcZFRe9OJItRIRqqm0FpVMRMJ2Qhm822PBdxXKScxDCNmAa2FSUuvT+RTCh6pWTwUd2GZnM904Ryqym3nvgThOhMTU1xCuzp06cxNDQEs9nMcyxmmpDBIvIzNruPdqx5MjpUKhWjNYQ2TU9Pc9nfs2fPore3FwMDAy0V5wiVCoVCeOONN3D9+nXMzMzAarXC6XS2OKbimpeiI2REbUX2VIHXajX2AMUSg3K5HA6HA52dnTwZo6OjcLvdB1IBrKOjg+Nz73znO7nq2/nz57G6uopYLMZlUT0eD8c/iBjz+uuvY35+Hqurq1CpVBgdHcXIyAh6e3vR39/PkN1+iFg8IBgMwmQyPRQNPijX9rHHHsPt27cRCATw2muvYXl5Gb29vUgmk+zlZbNZXL9+HSsrK0wcHBgYwNjYGLq6uvZFeZPI5XL2Lm/duoVMJoOFhQVcuHCB81bNZnNLfnAqlcLq6iomJiYQiUTQaDTgdrvR2dkJg8GwL0THdrLZ5iF6xeTVZTIZzomm+B8Re4xGI0PnxNglz0OMF4oiwsdbiR+L0o7xTUrNYrGgWCzC5XIhkUggn89jfn4eyWQS1WoV3d3dcLlcMJvNAN4mFmazWUxNTbUQ8cxmM7Pme3p6GE2QKu7tEqk2ElJ4pOgIbs7n8xziI2UszgV5hGJMXmooiCEG+vtucUfI2KDyo1qtFmazGaVSCcViEbOzs4jH41hZWeE4fKOx3iBmfn6eQ60+nw8ulws9PT2w2Wxt0RbxmqJstg9IyWLiMyM0wGg0wmKxwGKxIBAIoFAoIBgMIhAIQKFQMNpHaKdMJkOxWORUuXQ6jUqlApPJBKvVyoQ3IuCRUXw/aNueK/BQKIRcLteyMBQKBfr7+/HCCy/gwx/+MIaGhvadcSsKMa4feeQRaLVa/M//+T/xgx/8AF/+8peh0+ng9/vxwgsv4PHHH4fFYoFarUYmk8H169dx6dIlfPazn0UoFIJWq8Vjjz2GZ555Bh/84Afh9/v3vSkFQU+3bt3CrVu38JGPfAR2u31fx7BdkclksNlsOHr0KP7Nv/k3+OxnP4uFhQX8zd/8DTQaDVwuF2+oxWKxJf7V0dGB06dP48yZMzh37tw9wx17IUeOHOF88HQ6jXQ6jVKphJs3b2J8fBw9PT2swBuNBgKBAKampvDGG28gm81CLpdjdHQUQ0ND0Ov1B9pkpp1XRf/S76RIYrEYV0WkalQWiwVutxu9vb2cPeDxeBitIIVPnjLdq8jilsZSd3IPpMBVKhV8Ph8UCgXzbig3XavVYmVlBWNjY+jv78f/z96bB0d6Hufhz+CY+8ScGFyD+1rsRa64vESR1GFRkk2pREemLVuWldixKynZlTgul5zY5Z/lcsqKYyeObUUJIzmSS5RtSjIlUuK55JLc+wAWi/uYAebG3PcBzO8PVPe+8+1gFzcgZ7sKhV1gMPN+19vdTz/9dH9/PxoaGpBKpViF8cKFC0ilUmhsbITFYmGCocPhwMDAAHMVRDLudp2gyEGg9yDHRuc8mUwiFouxdrxKpYJGo6maLkZ/S0kDPRNiixUREul8UwYpwt9bhdJFFrXYdaNWq2EwGGC321kb4Pz584wAUAZKNexoNMoCNcPDw3zOpSNF6fikAjJ3cuq11ixC/7R2Er1pbm5GJpPB3Nwcf1er1dyPTsIyFAyl02muf5PWgMPhgNPp5LIfdVwB2DBYl/ILNrI9deDFYpEjETKj0YhPfvKTuP/++/H444+jpaXl0EzFMhqNOHr0KP7lv/yXeOyxx/Dtb3+bewG///3v4/z583j99ddRX1+PQCAAr9eLUCgEjUaDBx54AE8//TR6enrQ19cHp9N5IEGJz+fDjRs3EIlE0NDQgFOnTqGrq2vf17Ed0+v1uP/+++H1elFXV4ezZ88ilUrB7/dz1iZu6A6HAx0dHfjYxz6GkydPHljm+oEPfADt7e24efMmlpaWsLS0hJWVFeRyOXz5y1/G0NAQPvaxj6G7uxt6vR7f+973cPXqVSb0GI1G/NIv/RKOHDnCUOxBmug8pdkb/ZuuB2WGxNw+ceIEOjs7MTw8zO2JlLGLbYCUNUoZzNINdytwIq1d2upmMBgYhqYWqvn5eVZny+VymJycxPj4ODvjSCSCaDSK1dVVWK1WPPjgg2hpaUFbWxuroonQLxHw5HL5bUEIrauWSVuHxBIArRe4xREhAZRSqQSr1QqTyQSlUolYLMaiS8RGJ6dOEDsFTMTQp8xX/DwpoW6zJh4z8YgoSGhsbERTUxNOnjwJg8EAh8MBn8/HbaBSiF8mk0Gr1cJms8HpdKKlpQVGoxEy2a0xnGK2LDK4xVLD3UwMNsSSBRHhVCoVXC4Xq74tLy9jcnIS8/PzCAaDnPgRtC+XyzExMYH5+XlEIhEYDAZ0dHQwKZt0KcTavBikbuZ+kdqe47pSWEalUuHkyZM4fvw4BgcH9/rjt2QKhQI2mw2nTp1CW1sbRkdH0djYiEQiAbfbzfrNAJgpmc1mcezYMTidTjzyyCNoaWlBc3PzgR1DPB7H3Nwcstks6uvreUrRT4LJ5XI0NzdjaGiIoWgiSNVSMFIoFEx00+v13Oqx3w6wo6MDarUafX19jDqRTOdbb72FaDSK9vZ2LtVcvXoVU1NTKBQKMJvNaG1txcmTJ9HX13fgQ2SA24VRav0eQNXGL5Otz/GmckJXVxdviKlUqur6EbQq1tmlG9ZOYEXacyhAoEDaZrNxS2e5XEYoFEIkEkEwGEQgEEAqlWIHTv3HNN61u7sb7e3tcLlcLIVJ7UzilC9KRqR12LuZ6EzEoIkCD1JPi8ViTOzS6XRMzKPX0DkmjoHo6Oj9SN2MCIPSssVWTczi6XOAW8xwEi9pbW3F2tq6ch31r0ejUZRKpaoOAJoHTyRQ8V4R10gdTGIpQMzG73QP1TpesaWOYHSTyYS1tTW0traiUChgYWGB0cD5+Xnk83loNBrkcjkoFAosLy9zUOh0OtHW1obW1lbY7XZmz9O9SSZ93rZyHfZ0t2hqasLP/dzPoVAo4L333kNdXR10Oh2OHDlyKPqONzJqc/nKV74Cn8+Hd955B88//zzefPNNTExMALh1cwLgHkyx3nRQ5vP5uF2PZtDeqZ3pMBnBbg8//DBOnTqFZ599FteuXcMXv/hFRKNR1j4mo4dldnYWLpcL/+E//Ae4XC50dnbu67ppmMVv//Zv49VXX0U0GkUwGGRJ1UuXLuHGjRschd+8eRO5XA4A8LGPfQzPPPMMOjs7DwT+l5p0M6H7mfp5AUCj0UAmk6GrqwuRSAQej4cDRiJPisM/REdC2atCoeBMXtrGJDoD+v9Ws3CSL5bJZNwR0NTUxCN0H330UXg8Hrz22muYmJhgyBy4xUKm+qZMJmNHLTptcXQqOd6tkpBEE881lYfUajU7lng8juXlZRQKBe5JpuebRGZE6JquJSlLEswvsr2Bamh9OyULWjudb8qmaZJbpbI+cKW/vx+tra08mWtpaYlFkKiURAEGjRqlISckn+x0OvmakOpZLZnTzQSAtYiaNCxG5E+o1Wo+35VKBTdv3kQ4HMbY2BiPnCV2/NzcHHdgdHV14fTp0+jt7YVarWa0g9ZLpQz6XFrLVoLXPXXgjY2NsNvtrKJGD3QkEjkUTNuNTCTTFItFhkMBoLW1FQaDAVarFclkkqdiLS0t4a233kJPTw96e3vR0tKy7/Vv4Ja+tAhX0g1KrFRgPdslUsVBtizVMso2bt68icnJSeTzeRbCcblc3APr9/uxuLjIo0XffvttZDIZHtCwn8FUfX097HY7BgYG8MQTT+DKlSsMpZOak0wm4/oZvZ7UBg+SAyJaLQhbzH4oS5TL5TAYDKygRqzaXC6HbDZbRWyTQsrixiVm5aJTEZGIrThDEY6mtYotVrQW0RGToyRHr9FoGMWhNsX5+Xm+jrQBUy+w+Jnbcd4ihEvZsdSZi9AqZflE+orFYiwYBdxSYaNMVqFQ3Mbwl9a4RWe2FScu/r209ixFE2hwD9XxKbCgTNdisbAGPtXKSajJbDajWCxyr70otiKe763uZWJLmnif0JqpTk9a/V1dXchms1AoFIwexGIx5PN5NDQ0MApIwaLVauVjoteIGg/iMWxnH95TB97Q0MA60G1tbSz2cO3aNajVahw5cmQvP35Htrq6CrfbjbGxMbzyyitwu91obGzEk08+icHBQTz22GM89vRv//ZvMT09jfHxcTz00EN44okn8PTTT++oL3S7ZjabceTIEZw9exbZbLbqd8SoB8A61OJM2sNioVAICwsL+P/+v/8Ps7OzWFlZQUdHB7q6uvDLv/zLcLlcMBqNeOmll/CNb3yDs6f/8T/+Bz71qU/h/vvv3/dRnKQl8OCDD6K3txf/5//8H7zzzjs4e/YsbwjxeJx1EAwGA44dO4aBgQF0dXUdOHID1HY+IrGMMkGCF+12O5PUCNoNhUI84IekOqX1PrHOKGZutUhYW3GG5DCkmSB1wIh13+XlZSwtLSEQCEAmW58m2N3dDZPJhNbWVtaBOHv2LMLhMF5//XXY7XY4nU4cPXqUiUkAWDdCnIUuKpttxcSAQHSC5Ezkcjmz3vP5PFZWViCTrY9JJYSAnI7D4YDBYGBZWEINxHXWCrC2Y1L4nO4R+nepVMLKygqWlpbg9XoxOjrK8sHUT3/y5EkYjUbU1dXxFLUbN26wjGomk4HT6WRuhXh+ad2bJX+J6xaDDGk2TI7VaDTymFa9Xg+v14uLFy8inU4z25w0Q0iNkXT+iQdCMrGERElRJlrDVvbjfSm4mUwmdHd3w+v1Mju3ra3trmL5B2XLy8vwer3467/+a56g1Nvbi8ceewzPPPMM1zRIictisWBpaYkHl3zzm9/EwsICBgYG8LnPfW5fyVVmsxmDg4OwWCyYmZnBn/7pn/JoRopmgXUugsVi4QlQH/rQh2CxWDYtAbrbVqlUkEgkcPPmTbz11lsshKNUKvHpT38aIyMjOHr0KIaHh1kz+/Tp01hdXcXXv/51zM7OIplMYnFxEWfPnmXS0X6bQqHg89nR0QGfzwe/349YLFb1OpF4c9AmzZykrUX0e7GlSczGaQjL6uoq4vE4y4xSDTOXy9XcqMjZUg1TyibeqvOmtVP7FG3IlNUC69yVUCiEixcvIhwOw+fz8RTBY8eOoampCU6nE+l0mrseotEoI23T09M8j76pqYlV0cThFKIe/1avMwUa9G+ChlUqFbOiyfFdunSJM2yxFEHnzWazwWQyYWBggGVrKTunern4einashWj+4ECM4KKif1Pqn2zs7OMmgFAX18fOjo6uJVYo9HwcB9qOyRp5UAgAI/Hw8G5QqGoOg5ax1YyWvGYyWFvhAqpVCo4HA5GYWZnZ1mpjQJD0ShQpalq4oQ9CoRpnaJ4z1ZsXxy4Wq1mCTwaeReLxbbMdNwvI4Ws119/HclkktmE999/P+677z5uy6KaiEKhwOLiInK5HEZHR3H9+nWWD/z0pz8NvV6/b+QkrVaL1tZWWCwWLC4u4syZMwx50vQuivLkcjmT7jo7O1EulznS3O/rQlDU6Ogo3nvvPZw9exZra2vMAL7vvvtw4sQJVkECgO7ubgDAj370I3i9XqTTaQSDQdy8efPA0B3Swx4cHIRer4fFYuGhBqJRpE+yo5StHqSJGwqZyNIFbq1bJLKJzGbSrKa2Mqr1iU5CyjwXv3baiyzNwukzaA3xeBx+vx+Tk5NMrqNJZNTXbbPZ2IHH43EYjUZWYYvFYvD7/ahUKgiHw1W61g0NDVz3FeH6zZrofMgp0bNI0L7ZbIZarUY6ncby8vJtjHu6PuVyGcFgkNnRdrsdOp2OVQqlpC+R8b6dLJZeK06vIzUzCurcbjcWFhbgdrt5iFJbWxsPjGppaYFSqWTeBABMT0+jUCjwrACarLa6uspBk4gobBZF2AjuF523eB5oD6XEZ3V1FRqNBul0uqoEQoEsaahT2ytdQ/H6bkT+24rti1ehg6abJ5lMctSyXex/L4wiyJdeegkvv/wyisUi+vv78ZnPfAanT5/G4ODgbSMqZTIZR5EDAwM4d+4c3nrrLbz66qs4d+4cvvWtb+H48eN4+OGH9+U4jUYjtFotnn32WZw6dQoTExOwWq3o6+vjUYd+vx9erxfXr1/H7Owszp07B7/fj6NHj+JXfuVX0NPTw/Dgftjq6iquXLmCCxcu4I//+I8BrLeU/fqv/zoGBwfx8MMPcx+xeA4JBfn85z+P48eP42/+5m/g8/nw+uuv4/HHH8fAwMC+HYPURJ3tWggMCQVptVpEo1F85jOfOXBeiAil0rNJk/RowxdZweRQWltbMTMzw/KwDocD6XS6ijBFGyI5DylMSBsa/X47z4pIJBM/o76+noVnfD4fPB4PZDIZWlpacOzYMQwPDzMPob6+nhEDrVaLkydPMm9nfHwcDQ0NPA+8XC7D5XJhcHAQzc3NTEIkJ7rZ4xAdNlDtPMRBT5Q40EATmkhGwjmkf07HSUNy3n77bdhsNiQSCRatIX4Ovb/4uVut40vvFzGYyWazGB0dhcfjwdmzZwGA226dTieGhoZ4Slcul0Mmk8Hq6ioaGxvR2dmJU6dOwWKx4PXXX0cqlcL4+DhcLhcT9+gYCPWg46B13e38i6iNyNaXQusAWKRIr9cjn89Dq9UikUhUCbnE43FOlEie94EHHoDJZILJZEKxWESxWOSyDgW/4poPDQudrKmpCX19fWhqamIlJNJQttlsh0YpLJ/PIxQKMYTucDjQ09ODkZERJq/VMtrU6PXxeBw3btxANBrFlStXYDAYcOrUqSrpv70yivS6u7uhUqmg0+lgMpngcrkYCSBFOY1GA4PBgOXlZYTDYSwvL+Py5cvQaDSw2Wz7ghrQJK8rV67g+vXriEajGBwcRH9/P0ZGRtDV1cU9oFKjmlQthbxasr37aTSRK5lMskOwWCxcyqDJUgsLC9Dr9Xj44YdRV1d3KFr+am3iYnZG2SXN9jaZTJwVktIW6dOLQZeYXZOjlbYy7dREpED8WbFYZDW/WCwGhUKBpqYmuFwuWK1WaLVazuTIqVHWRbVcUsvL5/PI5/OIRCIwmUy8GZMDFBGArR6TTLbOIqdzLPIG6uvruT+aRoVSTZz0A2iMJc2Xj8fjKBQK3PNOw36kUxG3S6QSWffSOjQNtPF6vTxwyGKxwGKxoKOjA3a7nRECyqQJhiY2Ojl3AMxYJ8JkrfZDcX/d7LFIM2Ex8xbvJwqyaGgMsfobGhqqpHhpIl84HGYlSWAdHaUgtdYatmP74sCHhobQ39/PLTbz8/OYnJzEO++8g8cee+zQtJRFIhGcP38ek5OTCAaD+OQnP4lTp07hiSeeuOsJrqtbnxg0MjKC9vZ2+Hw+XLt2Dd/85jcBAE899RT0ev2+waQnT57EyZMn7/q6qakpzM/P40//9E+xsrKCr371q9BoNOjq6oLBYNjz9UajUSwvL+Nv/uZv4PF4oFAo8PGPfxyf/exnN83ONhqNMJvNkMlkPD4yn8/v6brvZn6/H1NTU5idnUUsFkNjYyPuu+8+9PT04Pvf/z6i0SjS6TSuXbuGyclJHDt2DCdPnsSjjz56YIiU1OEQrEq9uVRvJBZ9U1MTrFYrlzqy2SwT9cLhMLf8kAOkoIqCTEK8yOlRFiPCiVKncDejoEDMXEulEuLxOGZmZjAzM4Pl5WX09vbC5XLh+PHj7PzS6TTW1tZ4HbSmhoYGWCwWlMtlKJVKFAoFBINBrKyswGKx3DbSE6gWQrnb2kXiF9W7yWlns1kO9gh27u3traoTa7VaJtFRG1QymYTb7UYwGMS1a9dQKpUwMzPDI1KJzU3BAp277ZQvRCdHrbR1dXWIxWIIhUK4dOkSVlZWkE6ncezYMZw4cQInTpzgCWtra2tVJEAi1pIDp+BqdXWVZblFspcUDhftbmhCLShdDDjFGjvdq4FAAG63G0tLS8xIp7Klx+NhwZ3FxUVEo1HodDq4XC4eTS1OrJOud6uB1L6pRkgXRLXwg95oRSsUCjyYgWyrUbRCoYDBYMDIyAjK5TLeeOMNANuXV9xrs9vtkMvl+OQnP4nR0VH8/d//PSYnJ3Ht2jW8733v2/PpaSQ9SANMWlpa0NLSsildfKo1Xb16FRcvXqyCAw/KiMxy9uxZvPnmm8hms9DpdOju7sYTTzyB++67DzKZDIuLi7h+/TpDbj/60Y+wsrKC48ePc//xQZi4eYi1abFvlZTXKAsXW7Co33hlZQXZbBZ6vZ4HQlC/NG2IIslMbHeUOu/NmHTTJfieMuFSqcRoSLlc5rnMGo2Gnb4I79MXzZ2Wy+UwGo2Qy+WYn59nghJtxIQkiH9P53Arx0B/K5L+RKSCrg8FC+TUaJ65RqNhdT+ZbF2iOJFIIBKJwOfzIZ1OI5lMcvsWBSuiE6fvm3Uk4nUSh9UQJyKTyWBtbQ0tLS3o7OxEf38/7yuJRIKvPXXtKBQK1hQnkZ1sNgu1Ws0aAxR4iGVYKRQtXZt0zSJyINU+oOMmMiR9kajX9PQ0d1r09vZieHgYTqcTJpMJ4XAYdXV1PMuc7peenh7uCiBRF/oc8VjE9d3N9s2BS2EyGjMqzm89aKOxgTuBX0kJzOVyIZFIHJr6/kZmNBqh0+nw/ve/H6urq3juuefg8/kwOzuL48eP77kDFycryWSyKt2Au1m5XEY6ncbk5CRu3LiB1dVVLmccVGscZUvXrl3D2bNnUSgUYLFYMDg4iPvvvx8PP/wwYrEYrFYr11FTqRQuXLiAtbU1ZDKZqkzuIEzqxEWHRLVGMUMlmLm+vp4zwHg8zr3garWa+67FOqO4udZqJdsOyZWCDHJQYkZPGtRra2s8zlKcm02fRSz2+vp6bsWsVCqs6W02m5FKpRAOh28LSERm/VZNdNpiLV9KHKR11tXVcQtbPp/nNYoa5E1NTfB4PCiXy1hYWGDolzoJxAlqdJzi982cb+BW0EX3AcH5NLa1UqnAbDajubmZW6tomhp1K6jVaia+kfOjWn+hUIBGo4FWq2V2OwVOdC7E87aZY5CuvRbaIwaW1MPu9/uxtLSETCbDRLyenh60tbVBJpNBp9MhnU7D7XYjHo/D5/PxaGcqeUjvd/r8rd7z++LAKVol4XcShvf5fIcqA98tIwIMidcfdquvr0dvby9CoRBrWNNDt59Ggg6bVSQbHx/HG2+8gTNnzmBmZgblchnd3d147LHHDkzOdnl5GWfPnsX09DRisRhkMhkGBwfxH//jf4TNZkNjYyM++MEPYnh4GHa7HS+88AIjEIFAAKOjo+jt7d1X/XopeYcyMoI2pQQzs9nMgRLVlql2SQ5U2vFAG63I+KUaM72vtA93u8cC3Kq3E6xLAkdarZYlkKl8Q8JA1HdOzr+xsZEz24aGBp4UR+xi6hUnaU1RYGQrjkS6fqqpSwMC+hmd63w+zzKkYjadz+eRTqe5jczpdDIEXygUkEgkkMlkmMMgtjbRNQI2jx5I2dN0DcV2KXodlVkI+dBoNFymIOQkGAxiYWEBU1NTuHTpEoLBIBobG2Gz2TAwMMClPUq0pLyDzZ5z0XlKmfx0H4jjQrPZLJaWlri1mCZYPvTQQ2hvb4fJZEI2m+VjorYxKuHQFDNCSSgAkyoRbsWJ79iBVyoVRKNRZLNZJoeQpjg9nATfRCIRVjQjtqS0d+4gTalUorm5mSeOhcNh+P1+hEIhbsG4mxHEGAgEEAgEdrQZ7aeJWau0P3QvTawz0o3udrsxMTHBDk9kipKoQyKRwPj4OK5du8YRusFgQHt7O44fP74h4XCvjeZkp9NprK6ucp24tbWVs2q9Xo+1tTX09/ejr68PCwsLWFxcRCqVwvT0NJqamg50AA1tYCQ+QQ6L1L2sVitvaMlkkp9/ymRJ4Yw2caloiFi7lG6a273npKUusXUMAG+cVJ6gFrFIJMJkSBEZkJLtaLPNZDIMC4uwNjnX7bRiie1L5KBF0tRGjkl8Lmivpf2nUCgw14ACC3pvchoijCx93reLHEohaUIDCF0isiw92+Qoqd5fLBa5P39paYlVzoxGIz9LBLXXarvazv1D7yPuf9L3JAQnFouxoigNk6GxojTQh46JtPYJaSOFQpJaFfvOt8r1INuxAycJy8nJSfzwhz9Ee3s72tvb8eyzz6K1tRUajQbvvfcevv3tb+ONN95AMBhEpVJBNpvF8vLyocrAnU4nfvqnfxpjY2Pw+/147bXX4PV6Ybfbcf/996Ovr++u75FKpRAKhfCd73wH165dO1QBykZWqVSQTqcRjUaxtLSE/v7+fftsYsoT1Hf27FlEo1G89dZb+Pmf/3nYbDbU1dWxYMb8/Dz8fj/OnDmD8fFxXL16Faurq1CpVDh27Bg+9KEP4Qtf+MKBQei5XA5er5cd3tGjR9HX13cbqmA0Gpmw1traij//8z9HJBLBt771LahUKpw6dWpf1y3d+MgReDwerKysYHZ2llGl48ePMwHJ7XZjdnYWHo8HkUgEqVSKhzvQhkWZklQCkzYuEcKU1iKBuw+loO/k0Ki+CNyaWUDDNDweDw/KSSQS3J5IAkblcpl7dwn+B9Zbn5LJJJaXlzE/P4/l5WUuJVD7mYgk1BKmuZOJDokCIWqnot+LdXaqGQNg4lelUkEwGORWJRIPIcdN/fniukSHW6uNbatrFwMgUi1rampCMBjE/Pw8SqUS3G4362nQgBlyjqlUCouLi/B4PJiZmWF0YWRkBP39/RgYGGACnsh5kULRm3Xk4rpFEwOzSqXCvI6FhQVGnDo6OtDW1sYE2nw+z+1ibW1tHEjR8BsaA0tlAwpg6PPE0shmbccOnDD/hoYGuN1uZplHIhGuV8zMzGB8fBypVKoqIqa/OyzW0NAAtVqNEydOoFAo4Lvf/S6Wl5fx4osvYmVlhVsCSNVINBo2cPPmTZYADIfDOHLkCA+qOKxweqlUwnvvvcdsVbVaDYvFsi/XhtqmPvnJT2J8fBz/9E//hFAohGKxiG9+85s8OEOlUkGpVPJ8ebfbjVgshvr6egwPD/PM9iNHjhzoPZVIJDAxMcEjdA0GA89rJudFjFaC1dxuN0sxtrW1HRh6IDpDse5NY4Epe1tZWeHhDSsrKwgGg4hEIshmszwEhJ59aauPqDMtdRj0uTvJBOk9xIEdxI0gwSIAmJiY4L5iACzYQigDkfIUCgUfPzGLg8Eg8vk8mpubYbPZOAMTpUO3Q8ATSXzS8yYGO+TAyckT0Y7IbaTtTnsSSSjTc6TX61nPXVyDeP23snZyPqITlMlkLOE6ODgIg8GAiYkJpNNpTE9Pcx81TREkZ0fPRSqVQkNDA5qbm3kUaUtLC+ulU41dNOk5v9s1oICvFhucziVpOBDiQjMNRJ4K3ffEnSCkJhqNMjpF7yOiJnSNa53vfWWhGwwGKJVKBINBLC0toVKp4L333rvj3ygUin1VKNuMUVR77NgxKJVKvPTSS6yDnE6n4ff78fDDD6O1tRUmk4lv+kplXZfY7/djdHQUr732GmZnZ1Eul/HYY48dagdeqaz3yL733nsYHR1FuVyGTqeD3W7flyyWhmH89E//NOx2O958802Odqempvh1VJqhthrapNVqNY4fP46RkRF88pOfvE1oZ78tlUphdnaWFZqoHpbJZLjOSuQdct6Li4ssuUhqYAdlYj2RnHi5XEYkEkEoFGIlMqVSyTViyjDW1tZHRZLgBcG64iYlEr7o80SnRD/bCZROgZI0k7XZbHC5XKirq8Ps7CzD6Gtra4hEInC5XDAYDGhuboZOp+MNOZfLYXl5GVNTU5icnGRnaLPZYLFYWFKVgobtrH0jB1pL4IMCHkJJqE5P66X6K5UpxRkIKpWK92tx792OAxdfJzpxck7Un97f38/6B1SSDIVCjBAQKiBm/kRmIz3xkZERhtHpXqu1n2713ItOXDQKhEQRJgq8xd+vra1VZdSkJBeNRhk+J/6BGFyKAbL42Ztln/M6t3S0Nayurg4dHR0ol8v4/Oc/j3PnzuHq1at3/BulUgmLxYLe3t49Zzlvx3p6euBwOPBHf/RHmJiYwIsvvoiJiQlcunQJ3/3ud2E2m3H06FFYLBYYDAYkEglEo1G8++67iMViiMfjcDgc6O7uxr/7d/+OneFhYqQTW3h5eRkejwff+973IJPJ8PM///P48Ic/jAceeGDfpqkRic5kMsHhcDAacO7cOZa7pM24s7MTBoMBNpsNfX19GBkZwX333ceZ0EEPZiEiXiKR4Paw8+fP47vf/S76+vpgtVoxOzvL2XcikeAxqR0dHXj22WcPTBdB7BShDamjo4MFQWZnZ7GwsMBDMwgCFDc5lUrFalWicJEI1Ypwodj7LW2h2SwRiYIA6c/JaPymUqlk4ZZyuQyv14ubN28yq3hiYgIqlQpWq5VnbVM2uLi4yPVL6vkdHh6Gw+GAXq/nzVxsB9pqTV/MxMVedODWJi/W3enfIjFKJpMhnU5jcXERCwsLCAaDmJ6eBrC+r3V0dKClpQUqlYpJe1IEYLP969J1k9G6yEH39/ejubkZZrOZtdDdbjcymQyT/2hcp0qlgtlshtVqRXNzM/r7+9HU1ASLxQKZbF1rXjqCVto6tlUTeRn0fwooKbjIZDJcCsrn84jFYrhy5QrcbjeT0+rr61l9LhaLIRwOIx6Pw2azMfpDA2YInRLP33bWvysQukajgd1ux3333YdMJsMqVHQhCR6hjYFo94fVgRN8dvToUdY5X1hYYD1e6iVtampiBx6PxzE3N8cPU39/P4aGhtDV1XWb6tFBG5HAlpeXsbi4iKWlJZRKJVgsFpw4cQIdHR0Mf+2XkaLaiRMnWIaQenfFbK27uxtGoxE2mw29vb0YGRlBZ2fngWfeZHQcgUAA8XicB0+Ew2Ekk0lYrVbMz89zjyvBtC6XC93d3WhrazsU89vJqWo0GjQ1NaG9vZ2DKJo8Jm44pAdOojqk2U0kxFrkK9FB0c+3s4lJoWbx5+ToyMkT1N3R0QG5XI5UKoVIJMLyzoVCgcfXKhQKZDIZHmhCc8ybmppYxpcGVdBn1yKEbdXo3Isbu5SpLJ47sSWJeq9DoRACgQBzjigwEdcsBj61IPDNnHcxaxezcJF8R/sfDbCiDJS6AaiNzGQysciMzWaD0+mE3W7n9ZKWAJH8dntPlfIpgGoxF0JoqfxAJWFy3kTsJFSE9ANsNht3BKjV6qoJkOK13krgymu+y4s3/U50k83Pz2NxcRFvvfUWIpEIt4t5PB7U1dXB4XDgN37jN9DX14ehoaFDl5mKRi0d8XicWwfefPNNzM7O4sc//nFVC4JKpYLL5eKs8F/8i3/Bs6sPk62urmJpaQkXLlzA1772NcRiMZRKJZw+fRonTpzAL/7iLx7oiFFxs6rFMhUfLmnryGGwsbEx/NM//ROef/55jI6OVv1OhOvo3mlvb0dbWxt+9Vd/FQMDAzh58uROSi2bPhETExO3PdviZiKeW6rphcNhRCIRzM/PIx6PIxgMct2SVMF6e3t5LgAN+qB+cBJyEZ0PbVjbJSFtZMQEpk2fyG1iC08ul2PGczgcxsTEBKLRKJc0SqUSC4dQUEIwvNFohMPh4JKBmClvl1EvhbDpGCgJovNGvd5iHzg5b6/XywN9SN2spaWFxwdbrVaG0GUyGZcYtgv9S9cuRQcoEwfA5ELaV8nhU62ZJrmVSqWqeeZEeqZ1ks+QohTb3QdqESHp/+VyGaVSCdFoFOFwGAsLC7h58yYCgQC8Xi9KpdJtyJFSqYTVaoXD4eA5FGazGS6Xi6Vs6b6noPhunT+Dg4M1D27XCtAEQ1gsFj7BpBVLGSoR3mgE52Gqf9cyQgz0ej1aW1u5Zn/ixAmMjIxUnWyCgAj6sdvt+zqPerNG5JL+/n58+tOf5qEyXV1daGlp4UzqINcn1od+0sxms+Ghhx6CRqOB3++/6+uNRiNMJhOOHj0Kq9V64DwJMSgFbm1ucrkcBoOB4c5cLgeXy1UlmkLZBpG6yIGSAwdQFbDX2nB3y3mTiRsyMcyJQ0EZEg1aksvlSKfTaG1t5R5mQhE0Gg0LiRDUS05UyqTf7vqlGZjUMYg8AXLuopY8ZbHkmKmH32w2Q6fTwWg08rp3uta7mfTaik6RnC85cCq1iA6Zgkc6vt1qc9vK+kU+hU6n458plUrE43HmuVBgsra2rpNOJEJSXbPb7Rw4EpIAVA+B2Tb8v1sZ+D27Z/fswG1HGTi/SQ0oEbiVXUplN8W/EXWsKQOk8plI4BEDlVoZ+E5M3BgJAhWdrAjhi/KplP2R9Ce1Z0nXSg6HygPkEGs5350eh7h2cmxU66bgqVwuc7YK3D70g4ITKh+IiVOtedq7sW4pekZrp+tM7bUiYVLUDKDrQj+jjJ0ga/obeo+dOPRaGbg0G6dWvGKxyAEpkQV1Oh2fQ2oxK5fLVT36hDIQyVA8D9IAsJbteQZ+z+7ZPfvnYeImUuvflJVI659kBDuSmAu9hmqu0s12o8/bromlCgompEGCuA7aVNVqNSqVCve4i2Q7qaMDbnccu+m8xWORfhaRqQi+FY+LggtR5UtkQNOx0Dp3M3AS1ywiaCLfQTyv9HliMCXeW+Kxiw5Oyp/YaTYuvf8I0SAEgH4ukgalIjm0HqVSWaVAJ2bx9B5S1bWdnP97Dvye3bN7VtM22lDEDbaWExd5DOKGW8vZ3e2ztmtSghxQe0iKtO4vdTRSctbdasV7AUlLzx19Dn2WWH8GUAVLU6AifY20VLJX65aufyN0h871Rq/fqLS0F1B6LYcqnmspeiMtpUrXJ5Y9pAHsToOnew78nt2ze7Zlu1PdTszUpZmY9DV7adLNnaBL+nwpWYzY6rXWeCdHt5d15DtxQaRMZiJF1cqsxePdL6PPv9N5vdvPxXtpr03qsGutTbynCVEieXAyaYmIXiu+z27dM/cc+D27Z/dsSybdfDbahGtlTfvtRES7EwnqThvrXkDju2F3yso3es1B2d2CPWDj++igbDNruBNKRb+/U8lop3bPgd+ze3bPdmS1NqTD4jg2Y4fVQW/FfpLXTvaTdgybuW/2+jm458Dv2T27Zzs2KUS40WsO4ya90SZ7GNd6z35ybDPPxE7tngO/Z/fsnu2p1SJhkR2Ek9xsViSFdGu1RwE7b2PaS7tT2eCw2GZLMlLbz+PZSLOg1r+lBM+N/mY37J4Dv2f37J5taHfaJGttYGLbDZF55HJ5VRuZ2JIjfZ/9MCnjWVo7Flt/aM00FpXEUQBwTzX1vu+FI9+IsbyRsIlUO13aFlXLdqsd6062Efoi9rlL266A28d9Svuz93K9G/28VrcFXQ+6D0idTxT6od73Wh0E27V7DnyXjBigMzMzmJiY4EEnw8PDVUMd7tk9+0m0jXq+ye5E5hGz11r91HeSU94t576ZTFR0dOQkaNRlNBpFJpNBOp3mtjK9Xs+SpPSeu8mWFte5UVYqdQS1eqfv5LyBW+NL98qkayOrlXmLzPuNuBXStsS9aEGs9e+NfiaqqYlT/GhtJKgjjj/drV72ew58l4zGyn3/+9/HV77yFTzwwAMYHh7Gv//3/54f9Ht2z36STNqXK7YrAbeTeKTfxSEbpMhGmxlt1DRTmcQxxL8n2+kGLfY8S2cwS1uuxHXLZDLk83mkUil4PB4eD0lqaDS7XRQg2Q2r5UA2A8eKUqt0rNKZ62L2LgYs4vCRvbK7vTfdE6Lzo6CPfk8OUnyvnQ6PqbXGjZx4raBBPJckCkTKcjTJrFQqoVAoVKnp0fhXYPuB34E78GQyiUKhgEwmg6tXr+I73/kOgFuwTmdnJz7ykY+gt7cXdrv9IJe6oWWzWQQCAfzDP/wDzp49i0wmg2vXriGbzfLc23sO/P9dIynIWCyGdDoNYH0iXCqVwtmzZ2uO362vr8f999+Pjo4OfPCDH+QJSPth4iZWa2oYKXwRJAjcGgsqqlIVi0UUi0XMz88jHA7D7Xbz7HC9Xg+j0Yj29nY0NzfzXHhxstduS3yKx0TqbHQc4ghM2oDr6+tRKpWQSqUwPT2NpaUleDwemM1mNDU1wel0oqGhAVqtljfkWgHBTtdK/5bW4MUsVNQRF51epVJhlAAAy9tStkj3FJU16H2BvUETxCCBzhMFdNLfiQgCOTqpHjxdPykSsZ2110KZpNwHOmd0n9CzkMvlUCgUEAqFUCgUkEwmsbKygmg0ikAgwP35er0eBoMB7e3t0Ov1cDgcUKlUrFG/1QDqwBw4nZRoNIp4PI5oNIrz58/j7/7u76puzKNHj6KlpQVms/nQOXC6+SKRCNxuN95++23Mz8+jUCggHA5Dp9Mhl8tVQSf/HGwzdbV7dsuKxSJPtFtZWQGwLoe5srKCV155Ba+++uptf1NfX49EIoFjx47hwQcfrMpW98OkWbeoTkabJuk9S50MAK4b0yxtmredTCZRLBZhsVhgs9kgk62Pm1Sr1fw5pIEN7I3Mqng80lqxtOZKo5G9Xi88Hg8WFhawtrbGDoX0sEkXXZzCtZNnQ0qEulNmKJW2JROREFExbHV1lX/W2NjImaLo2CmD3GpWvlFtV8o7oKy/1nFJr0Wt4UbS0kwt1Gene5MY1NBapWUJgshTqRTS6TSXWkKhEJaXlxEIBODz+VAsFgEAJpMJVqsVq6ursFqt0Gg0kMlkUCgULHu7FTswB55MJhEKhfDcc89hdHQUN27cQDKZrKqBAMDU1BT+03/6T/jKV76CwcHBg1puTaMRc1/5yldw48YNjI2N8YVqbW1Fd3c3bDbboZjvvFtWKBQ4K9FqtYdmDvdhtvn5efzf//t/8e6772Jqaop/vrq6imw2u+FG88Ybb2BpaQkf+chH0NHRgba2tv1aMoDqDBy4NdAhl8vxxqZUKqFWqznzo9nasVgMc3NzCIVCGB8fRzqdrhqwkUqlEIvFsLa2xjOWzWYzD3wgEx3sRvV36ZrF7/QeomMRN/9KZV3bmqapEVpCI0avX78On8+Ha9euIZPJYHV1FTqdjkeLNjU1VQ2zEDf83SaHiYGBKONZqVRYF50CicbGRhSLxdvkX+lc0EhRnU6HaDSKaDSKUCiEUqkEhULBQRUNc9nMMdQKtmqR7aSZJiEXdN3FIS2UmVK2m8/nq1Ae+gz62g2+Ua1BOPR5RMgsl8vw+/0IhUKYmJjA/Pw8AoEAEokEgHWCI80CoElrmUwGfr8fXq8X2WwWzc3N0Ov1kMlkMBgMjPxsRR993x14oVDAzMwMIpEI/H4/JicnMTc3h2AwyALwwK2bvlwuIxaLwePxYG5uDu3t7fuaidQyqulNT0/j8uXLGB8fx9LSErLZLID1izcyMoJjx45Bo9Ec+Hp3w+hmnpiYYMSkr68PR44cOeilHUqLRCJIp9NYWVnB+Pg4RkdH4Xa7OQMXbaMNJ5/PI5vNolQq1Wxf2guTZkIiO5g2FhGGlsvlkMvlKBaLyGazCIfDiEajCAaDfLyRSISfbdq8c7lcVeaSzWZRLBarBm5s9ZhrZaxilkZfdCwUkIj1dwougsEglpeX4Xa7EQ6Hkc1mUV9fD7PZDIfDAbvdDp1Ox5kTQam7UY8VHbUYeNSC0IFbDox+Jh3dKUUagFuZarlcRjabRTweRzgcxurqKjQaDQcDdD22C6eLaIp4fGTi8UizdClUToRCul4qlYpRDykLfCuyvdLgRPw/BUn0nsR1ymazcLvdCIVCWFpagt/vRzgc5gBDqVTyPUEOXKPRIJ/PI5/PI5fLVQXChDKISMlm7qN9d+CxWAxf+9rXEAgEePB8LBa7699dunQJCoUCv/zLv4ympqZ9WOnGRg/5Cy+8gP/23/4bj7oD1scpKpVKPPvss3jooYdgNpv/WcDM5XIZmUwG3/zmNzE1NYVgMIjPfvaz9xz4BjY+Po6JiQmcOXMGCwsLOH/+/G215MNmtZxfrclJlCmp1Wqu3y0vLyMSieDmzZvw+XxYWlrC8vIyEokEstksVCoVjEZjFamtVCohHo8jFoshGo0imUxidXUVSqVyQyh2M2sXHRetm5ys6KgJIiWHQIiIx+PBxMQEpqamMDY2hlQqhUqlgpaWFrhcLhw7dgxtbW2w2Wyoq6tDPp/nbHcn17eWY5M6cABVGShB3+QIpMEInWcpQZCuQTKZhN/vx8LCAjweD0O7pVKJ2+Q2c0zSLFv8Lp3gRq8XIWr6nTRDp9eUSiXkcjmkUimoVCooFArOhuVyeVWmTJ+5mUx2oxKFNJhobGxk9Mnj8SAQCODKlSuciKZSKWSzWcjlcn5vajs0GAxQKBSwWq2Ix+OIx+NMagPWEz6lUsnHIy0L3Mn2zYFXKhW8/PLLGB8fx5kzZ5DJZJDL5ThrvZt1dHTg6NGjB0YGoxtpZmYGbrcbL7/8Mt577z2uG9GNdOLECTz44IMYGhpCU1PTT7zzTiaTGB8fx9TUFKanp3HmzBkUi0WcOHECzc3NB7KmUqmEUCiEUCjEDw9lqaFQCPPz8xgaGkJLSwve9773Qa/X7xvUH4/Hsby8jJdeegmXLl2Cx+NBMpnk38tkMmi1Wt4YM5kM8vn8vqxtK0abrugYKEMQYfBoNIpSqYSJiQmGy1OpFBKJBAqFAurr63nDpfejLJiyusbGRt6Q6+vrmfBDv9usU5TWjUUyGcGf5ByIOEWweS6Xg8/nw8rKCkZHR9mhEenQbrejo6MD/f396OjogNVq5foxnQ8xuNkM3F9r/bWcuDTwEyFtOgYiFFIJTzzXdK9RRk2BUyaTQTAYxPz8PDweDzKZDORyOQwGA2ePW1m7eA1qjVqlc04/p8yUnC2dR2rXSyaTyGQyKBaL3MGQy+WY8Ohyubj8QvPQCe2k+1aa/ddar/h9o98TWhQMBjExMYGlpSXMzc0hm80il8uhUqlALpfzfaFSqZjQRtoBSqWSx+zSsRN/gu4bsbRzoA6cIFea1LK6uor33nsPly5dwsTERFVUKNpGEZPVakVXV9eBwdGrq6soFAqYnZ3FtWvX8O1vfxupVIofnIaGBuj1egwODuKnfuqn0NbW9hNb+6abp1gsIhKJ4OrVqzh37hwuXboEv9+PpqYmdHd3w2Kx7NuaiGhTKpUYvpqfn8fk5CRWVlYYjpqbm8OFCxfw5JNPYnh4GA6HgzMlcQPfK8tms/B6vbh+/TrOnz+PfD7PGxc9qBaLhdcSCAQ2dOAE2+1X1i49L3TOybGQE6DaXjKZRCKRQDwex8TEBILBIBYWFqpmgctkMha1EKFm0dkS5EgOvFAoVGX7W3GEtchQ4vhH6TE2NjbyJuv1euH1ejE9Pc31zXK5DKVSCYvFgubmZrS1tbHGg9gqtFHP9WbWLs36pNmsFBYX31vMWKWdAeL7kMMgI4b0xMQEPB4PfD4fM+q3UwKo5cClv5P+jK4JZZzZbBb5fB6RSASxWAzhcJif7Ww2i3K5jGKxCIfDAaPRyOslZjcFinQON3LeG6291s/pvWjfiUQiWFpawuLiIt8fAJhDYTabOaBIp9OIx+McVBWLRb7/SQCI9gFpuWCzRMg9ceCVSgULCwsYHx/Hl770JSZYxGIxrn0BuC3CE2EV6cLNZvOB1r99Ph/cbjf+6I/+CPPz84jFYlU3iNPpxG//9m/j6NGjOHHiBFQq1YGsczcsFoshEongO9/5DqampvDKK68gl8uhXC7jE5/4BEZGRvC5z30Oer1+z9dCD8/Y2BiuXbuGM2fOwOv1YmlpiWtJYhsJbf7vvvsuLl++jB/96EewWCzo6OjAM888g1OnTsFms+3ZeEKFQsGbfUtLCxYXF1FfXw+dToeBgQG4XC58/OMfh8FggFwux1e/+lX8/d//fc336uzsRH9/P5qamqBWq/dkvUDtbISeTYKdCRpcW1uDx+NBKBTC6Ogo4vE4IpEIgsEgownkVMQaaqlUQiKR4M+grJvOl9PpZEQnGAxWbXZSp7iRiZufCEHSBklwd7lc5oxNLpczw/ytt96C3+/HzMwM1/d7enpgtVpx//33o62tDR0dHVAoFKhUKpyc0LmhIE2suW+FdCdl80uDD4LECaGgVqbGxkZOmKiWKpfL+T3oPFK2mM1mcf36dSwvL+PSpUscbA0ODsLhcKCzsxMmk4nv0a08K9IMUswkxWtIKAhltX6/n8upy8vLKBQK/CyLx03lGKVSiRs3bsBgMMBms6GtrQ1Wq7UqK6f11Drn0qBCvGeksD5QzTOgYIigb61WC7vdjqamJgwNDXFQSCRAgszJ9xHPQK/XQ6VSoa6ujo+VjpfWd7dzv2cZeDAYhMfjwczMTBWsA1TXF6iHUqlUIpPJIBqN1ny//WijER88AFVZg8fjwdjYGDweD8LhcNXftbS0oL29HUajkQk9qVQKADhSryVAcNiMHnZqnZmamsLk5CSCwSA0Gg0MBgOOHDmCkZERWCyW24bX77aRQ1hZWcHExASuXbuGsbExhMNhhMNh1NfXV7XwiJlsJpPhDYvqq21tbSiXy3j00Ueh0+n2pByjUChgNBrR29uLdDrNRBuDwYBjx46hs7OTswdyJrVMJpPBbrfD6XRCr9fzhrSXJs2ixJ9TplQul7GysgKfz4fFxUWk02lkMhlkMhmuxdKmo1ar+ZnN5XI1GcT0espGpG1dm8lEpLCzSFyj9dPGWCqVUC6XIZfLeVMNhUIMn8fjcZTLZd5v1Go1NBoNlEolM4QzmQxD1yJsK13jdiB08bvo/KR98eJn1AoUpD305ACTySSSySSCwSDC4TDfo1qtFg6HA83NzWhqaoJWq2XkZLPBk/T/tDaxzU1sWSsUCohEIhyQezweZsRT0EjBEbXikrbA6uoqAoEAl2KJkGcymaruwTutX3qPi+dTRIgo+FOr1TAYDLBarezTGhoaYDKZYLfbYTKZYDQa+R6hsooYiNbX10Oj0cBoNHJtnO4rUWpVur6NbE924LW1NYyOjuL69esAqqMI8ULX19ejs7MTdrsdLpcLs7OzeOONN2o6uv1wfERSoHqqQqHgetGPf/xj/OAHP7iNcNfQ0ICnnnoKbW1tCIVCAIB0Og2v1wuZTIYHH3yQiT5arfZQM9LL5TK394RCIVy+fBlutxt1dXVob2/H4OAgnnnmGfT29u75WiqVCtxuN3w+H9555x1cvHgRFy9erIKkiFRksVhQV1eH5eVlhEIhuN1ufg9iewaDQUxNTcFkMuHrX/86+vr60NHRsevr1mq10Gq1eOaZZ/DYY49hdnYW9fX10Ov1OHr0KOx2O55//nm43W7cuHEDN27cqPk+MpkMR48exf333w+n07nn9410wyJCFmV5crmcEY+JiQnMzs7i0qVLDB02NjZy5gGsP9s2mw0GgwHAOqpTLBargi2qPRNULgqhiOSszWTgYulNypanchAx3YlhnclksLi4iNHRUczOzsLn86FQKFS1UdF5TyaTLK1Kilpms5k3Y5E9T2ugTG47vdRiNigGJZR50/uSQxT3VVqjyMwuFouIxWLwer1MHo7H45DJZHA6nejs7MQDDzwAq9UKu93Oa6a98G71cDHQEL9ToEMBGzncYDCIWCyGmZkZeDweeDweeL1eFItF6HQ6WCwWtLW1QalUoqGhAblcDplMBqlUCqFQiJO9SCSChYUFxONxNDc3Q6fTwWq1Vjn/WlmseK+L51Z671CQplarodfrYTaboVarOdhTqVRobm7mbiNqP5yfn+egkFrLtFotDAYDDAYD+vr60NLSApPJxIx18TxKyxAb2Z458AsXLuDKlSu3XXiCE9vb2zEwMIDh4WEYDAYEAgH4/f4DzVCJQEGs0kQigcXFRbzyyiu4ceMGvF7vbepTIjuRYJO1tTUYjUYoFAqOZCnSOqy2uroKj8eDF198EQsLC1haWkIoFIJGo8EjjzyCBx54APfddx+sVuuerYGILFeuXMGNGzdw7do1rKyssCACMVCdTic+/OEPo62tDd3d3SwCkkgkkMlkEI/HMT09jUAggMnJSWSzWSSTSaytrXGNjR6qvTKLxcJQH7AOGQcCAczMzODHP/4xvF4v/H5/VVsZOfqTJ0/i/vvvxwMPPICWlpZ9vW9qZR7ALTQqn89z7btYLEImk/FxNjY2ck3SarWit7cXGo0GgUCAe3QBcIZCWW6pVEI+n0c6nd6R4yOjtVIiQE6OnPfa2hp8Ph9CoRCuXbvG9zoFLXK5nLMtnU4HjUYD4BYPRoRQpaSpO+l41zLxdaJ4jdhPTteFgqVaNV6pA5XJ1sVBKOjI5/Pciru8vIyVlRXU1dVxmaa3t5cdIJUBtss9oGtAyCMAViejzH9+fh7RaBRLS0uM4pjNZqhUKvT19THfgI6NesDT6TSCwSATKIlFn81mEY1Gkc1m+RrROu60TvHnotOka0xBJN0bSqUSVqsVCoWiSnyI1jQ5OYloNIrl5WXEYjEUCgUmq7W2tsLhcMDhcKCvrw9WqxU6na6qRY0y9c3antXAb968ibGxsaqHkCBPq9WKoaEhfPjDH8bg4CDkcjl+/OMfH3h2Sg8oOfH5+XlcuHABX/va16peRzU+pVIJlUrFEAg5fplMBqPRCLVaDbVazQzbw2zlchk+nw/f+973MDs7C6/Xi7q6OrhcLjz66KN4/PHH8eCDD+7Z51OfZyqVwsWLF/Hiiy/i0qVL7HhpQ2hqakJ7ezueeeYZdHZ2orOzswqOJQfw6quvYmJiAuVyGaFQCKurqyzjGYvFqpjhO7VaxEva+IkhXC6XMTs7i5s3b+Ls2bNYWVmpgvxpw7VYLHj44Yfx7LPPMsR2ECQ2KcmMsj0i8xBSRdmVUqmEUqmERqNhRK27uxsqlQqFQqGq/k3kVnrexfomgKoMaDsOXCR20ftTRk9wOpX4SEAqm81WIQ46nY5hTq1WW+WYRchf6rBJuAOoHihyNxPvIVHNTYReCdIXs3LxWhHSQJ9LAQaVCpaXl7GwsMCStiRl29XVhd7eXiZXAlvTFxevkXivUj1+bW2NZUbdbjc8Hg8jAOFwmMmRLpcLVqsVJ0+eZAdOJFAAzEInwRTqv45GoxxY0n25Wd4ErV88l2IvOSFF+XweSqWSgzq6d6k3nRTXrl+/jkQiwXsNBZIajQYtLS3o6OhAV1cXXC4XdDodJ3yi6t2BQ+i1TCaT4XOf+xwGBgbQ3d2N5uZmdHZ2QqlUIhKJ4Pz585iZmdmv5dQ0yu4I2jt37txtNfm6ujo4nU587GMfw9GjRzE4OIiOjg7uXSViDt0AxIrcb6OaJLBOsrkTqa5cLnON+erVq8jn86irq4PD4WDCGkGhe2Grq6u4fPkypqen8cMf/hA3b97EwsIC0uk06urqoNFoMDAwgKGhIQwNDaG9vR2nTp1iAggZPXgNDQ14//vfj1OnTuFnfuZncPbsWfzZn/0ZlpeXUSqV4PV64XA4dm39Xq8XyWQSkUikasPOZrP41re+hWAwiEAgwCgNCWaQyWQydHR0YHBwEL/5m7+J9vZ2tLW17SsDnZyFSNoRWehiEEVQIKFMcrkcHR0dsNvtOHLkCGw2G5xOJwuELC4uYnl5GfF4nB1+Q0MDDAYDurq6YDAYmMhDv5PC+HeyWg5EFMSgrNpkMjFatrS0hIWFBfj9fr4WCoUCOp0OXV1d6O/vR09PD0wmU5W6GUGq5FBFohgFHtIyxGbhfymTnf6W1l8ulxGJRLCysoJCocDIh1qtZrSBiG/EJ0ilUrh69SpmZ2fxyiuvIJ1OI5/Po7u7Gx0dHXjooYfQ0tICh8PBCJjoAO/myMVATzz/VJPO5/Nwu90IBAK4fPkyPB4P/H4/kskkGhsbuUvEbrdzZ8vw8DA0Gg20Wi1rA+j1en4/h8OBYrGIzs5O1qSg2n46neb76E5OXBp0i/wn4vasra3B7/dzoKFSqdDU1IRUKoVcLoeFhQUuORJUTtPqRJY5HePp06c5A9doNFUlI+l9vFnbEwcuk8nQ09PD8Abd2J2dnRgcHERvby90Oh30ej2CwSCWlpbg8/kQi8WqiA/UmuV0OvdFvEV8UAAwzCYalQBOnjyJkZER9PX1sQzeYTBqv4hEIlxPslqtG8pwUjvJ9evXMT09jWQyyXWa4eFhjIyMwOFw7JkjIVjs+vXrHETQA0lZbGdnJ0ZGRjAyMoLe3l7YbDaGnqRGD4Fer2cod25urir7i0QiiMfju3YMoVAIXq8Xc3NzVSWWXC6H0dFRhEIhBIPBmnUtYrL29vZieHgYQ0ND0Ol0B4LYSIlj0torcAvmp+y0oaEBKpUKFosFdrsdbW1t0Ov1UKvViEaj3NFASAq9j0ajgclkug22pc+QQpqbMXHDFpnc9J6NjY3IZrPs2KjHmP5OqVRCr9dzANXe3s5ELnKMlC2SgxCDHOD2VqntmNg+KKIIyWQS0WgUfr8fpVIJFouliuAonaOdTCaRSqXgdruxtLSEZDLJpCs6PofDAYPBgMbGRu7oKJVKt6mCbeXc071DdWtqzyPlsmQyCblczuealO2cTieMRiMjV+Q3RAJzXV0dS9eWSiVGqYBbwjWbbR+jtYprpmOhn5G++dLSEuRyOTvpbDaLhYUFZDIZ/hl1TlDASYmT3W5Hc3MzHA4Hd5TQuZUiNGIGvhnbE6/T0NCA3//938fExAS+/OUvcytKb28venp60N7ezqSK5557DhcuXMDo6GiVohkAhhN/93d/F62trXux1JqWSCTg8/nw/e9/nwlRZPX19WhpacHnPvc5jswPk73zzjt47rnnMD09jVKphIceegiPP/44PvvZz9Z8/csvv4y33noLL7/8Mju106dP48EHH8RnPvMZJrTslXk8HszOzuLLX/4ycwxosxwaGsLw8DB+4zd+A83NzTz8YivwWKVS4RYmerjHxsZgMpnuym7erL377rs4d+4cXnzxRSZx0WffLYMhp/frv/7r6O/v52PcT6PzIG4oYjmCHBUhSt3d3dBqtXwdFAoFRkZGmFSYzWbh8/lw4cIFzM/PY2xsDJVKBSqVinvh29vbOQMkshs5xoaGhtscI61zIxPvCzFYW11d5c9UqVRIpVI8KYrKKHT8drsdXV1d+MAHPgCn0wmr1Vql9UAMdjFYF8sM0p+J53UzRg5brK9TWS8QCGBqagqjo6Ncvz5x4gScTieX6ijgKRaLSKfTLDjy5ptvIp1Os8Rzb28v81lcLhc7PuqKkIrSbMZExIDKLJRtv/XWWwgEApifn+cg6fjx42hpacGpU6eg0+m4TEE1e3KGhHYUCgWuczudTmg0Gk5QaJ2rq6tcxtzIpNdEGrDSdaBSBg2qunTpEhObCcWIRCJcUiEOCEHi+XweKpUKVquVB3L19PTwZ1IgSYGayBfYiu1ZBm6xWDA4OIhf+ZVf4TrO4OAgTCYT6urqEI/HuSY4PT1dFYkQc/HUqVNcD9nPvmpS86LhC8CtqUOf+MQncOrUqdsEQeii5fN5FAoF7qHcr8w8kUjg1Vdfxdtvv42bN29CqVTC4XDgkUceQV9f322vJ2jz0qVLuHTpEuLxONRqNY4fP47HHnsMDz30EKxW656d92QyCY/Hg3feeQfXr19HPB5HpVKBWq3mnuBPfOIT6O7uRktLC3Q63ZbJXJVKBfl8HqVSqWrcZWdnJ1pbW3fNUYqs6VptYXeqg+p0OjgcDjidTlgslgMLCKUwnpTEJgoW0fUgh9vY2MhtlBSYezwerlGKNW16b5vNhubmZjQ3NzPRk1AHsfa73WMRa8m0YdMEOEL7MpkMK2SpVCp0dHSgvb2d0T6qqdL1KxQKyOVyUKvVDPNLtbfFoHCzzlta9xRroZRFT05OYmZmBvPz82hsbIROp6si2RFJtlAoIJ1OY2lpCfPz83C73chms1Aqlejr68Px48eZAa1Sqfj5EMV3amWGmzkGgs1pjPLi4iLcbje8Xi+T1Ox2O8PklHVTFwN9JvW8EwpL5RVRCrdSqTCKQj+noSd3c4TiPXGne4xKI8ThIPExgtpFljsFGkSUJElgk8kEm80Gs9nMSmxih8BmA9SNbM+8i9FohNFo5KhDapFIhPWi5+fnAVTXr+RyOR588EEcP358XxW/ADBbmGARACxG/6lPfQojIyO33SQklBCPx5FIJNhh7IcDX1tbnwL17W9/mzWcH330UfT29uIDH/gAzGYzv5Y2t0gkgosXL+LChQs8j9put+ORRx7B+9//fpw+fbrqb3bbsSQSCVy7dg2vvvoqLl68yKxknU6HwcFBHDt2DM888wyam5u3DSdXKhWGScnZ1NfXo7e3F+3t7bt6PGQbbXx0DqW/JxEIm80Gk8m0J2vaitH9QY6EgiYigDU2NqKlpYUncdFr7HY7GhsbGeYlBx4IBADc2uQIXbFarQyditwF+iwizdGatnoMoqALnfdisYhwOMwM4VQqxRm6TqdjB24wGJDP5xGPx3kNMpkM2WyWmfKUIdPsAxF2pddvdd2i4wfAUD9NvFpYWMDi4iIHGdR3LLa7kQQpMc4XFxeRy+VgNBp5wFJ/fz9n9+SYpANzxPtgK2snB04SrbOzs/D7/WhoaEBnZyfX3klq2m6382eR4Be9n9i5QPC+iK4kEgmWUaakjxzpZk1aIhJr/9SbXSqVkEwmq7TLichIfoD2exHBUKlU7MAtFgsUCgUH+Tupe4u274VbgiUmJibw2muv1ZzOdFBGEMyZM2fwwx/+sEqnvbe3F4ODgzh69GjNzb+hoYEfJqvVyv2Le2kEe7344ou4ceMGLl68iEqlgu7ubnzwgx/EsWPHeIY69S0mk0mMjo5icnISr732Gvd5KxQKNDU1oa+vD7lcDuPj41WfRTAd9TvuVATF7Xbja1/7GhYWFliSsLOzE7/0S7+EU6dOcYS+k86EXC6Hf/zHf8T58+fhdrtRLpehVqvR0dGx6zrud4LLRZKS9IHdarvOfpiYUYpSpuTUiX9ApDDa/MlxLC8vc2sPwY5ra2sM41I3ikwmQywWYweu1WpRV1fHWc9mBTmkJq1n1tXVsaDP4uIiZmdnefoh3Q8ulwvDw8OwWq1VtW06VmoHogEudXV1vD9IyX87QQ6AW5l+NpvFzZs3eWrj2toaWltb8cgjj6C9vR2dnZ2oVCosaJLP5+Hz+eD3+9nhRyIR5ioUi0UsLS1VSZPm83loNBpWBqPAZDvHUKlUEI/H4fV6cePGDUxMTMDtdkOlUsHhcOChhx6Cy+WC0+nkkglpzRN5TLzOFHRRIqRUKmE2m1EqlRCNRjE5OYnFxUWkUimuNxsMBp6xvZlzLZZdRLSJOiPo2tJYU5lMxv+mOjzdq+TA6T4hJTYqg6TTaRakIW6FmNEfqgxctGw2y8pY+XweoVAIc3NzDO/UMsoSfT4f5ubmuC5ks9n2zDFS9Oj3++F2u6tuntbWVhw5cgRqtZpnwYpGtUDqId1r1TV6WAKBAK5fv46bN28iEonAYrGgtbUVdrsdBoMB4XAYuVwOkUgE4XAY8XicWamzs7NVrUz0YFBLmWgWiwUmkwnt7e0MeW7XCoUCQ/ixWIw3EZvNhqNHj6Kvr2/bGbJIoIlGo7h58yYWFxe5DUSv18NkMu3qcBN6X4vFUlUDJyMIrpYRK5pqdwfdbihmgVJSkpTYRhssOQR6doLBILf2UDYtzXTK5TLS6TTC4TBDn5SdE3RJkqe00W0G8pTWM8WMKpfLcYZKWRuR6Ww2GzQaDZf30uk0S6XSABBCESj4oJYtoPb0sO0Y9auTxrzf72cNBLVaDaPRiKamJhiNRq4LUz2fzj8N+hHRAplMhnQ6ze8ldqlQ6YaC8+2079F5J1JXKBRCIpFALpeD2WxGU1MTnE4nw8miJsBGNWj6vbRUQT3goVAIsVgMpVKJgxBq293K+qUOnNZCk+oICqd7hlqHSQGOUFppXZ3aLkk9jgJdKuWJpRLReW9l7fviwMfGxvDmm2/i3LlzWFlZQSaTQSwWg9/v3xByzOfzeP7556HVavG1r30NdrsdDocDv/d7vwebzbYn6xSJF+FwGJVKBUqlEkajET/90z+NX/iFX8Dc3ByuX7+O119/veqkq1Qq9Pf3Y2hoCMeOHdsS0WqrRn2Vr7/+Ol544QWcOXOGZy7fd999+MQnPgG1Wo3FxUU899xzCAQCPJs5k8nwDSqq/+TzeYyNjeFLX/oSgGo27draGoaHhzE4OIgvfOEL6OrqYhLTVq1cLmN+fp61zKk+PTIygtOnT+Oxxx7bke53oVBAKpXC2NgYZmZm8NJLL7H07cDAAHdBEDKxGzYwMMDZQa0a+OzsLL73ve/VPF8rKyuYn5/H3Nwc6uvr4XK5DhUxklpdKIsg51IoFBAMBhGJRBAKhRCNRnm6VSKRQDQa5QDYYDAwFE31Trfbzep4Wq0WarUaLS0tXAsnp240GquylbuZFA4lZ1AqlZBOp5FIJDiY0mg06O7u5paxTCaDcDiMyclJVgzT6/Wc3ZG+PTG/KeMSxT7oud8OckTPtd/vx+LiIvdLk0CR2WxGa2srKpUKwuEwzp07x/OoKVgiCU8KBikrLZfLuH79OjsRSohoMBHpc4h1563U8mk/WV5exuLiIubn53m8Zn9/P7q7u9Hb2wuTycRDnui+Iucmtq8R81x0cgTN37hxA8vLy7h69Sqy2SwaGhqY6U1SsJtJ8qTZN3VCiNPwKLihkgPdg6urqyxCQzV7CmBIbphaxaiMROgTJYWENkk5B1spAeyKAy8UCsw8BNYv5iuvvMI91IuLi0zAoJqkOMycTIzyV1dXmWhCG8Ly8jK++tWvcvY0MDCAzs5OHjCwU8vn8wgGgyzvCKxvOHa7HcViEYuLi3jppZfgdrsxPj5edVM3NjZifn4eU1NTGB8fxyOPPAKbzbYnAz8ymQyuX7+Oa9euYWJigkUDgPXWt7Nnz0Kr1aJcLmNqagqpVAqRSITPPXAryqOxm06nE8VikY+fMkmFQgGz2YzBwUFWSNqu8wbWHfjY2Bimp6eRzWY5yv3Qhz6E48ePM0FoK0aZIM2hnpiYwOTkJJaWlhCJRKBSqdDd3Y0nn3wSR48eZULJbllrays0Gg0sFkvNFpaOjg5UKhWEQiFGHghKS6fTnGWZzWa4XK5dW9d2TAzuCEamTTadTrMTJKZ5IpHgejKJIFE3idibTO9DZKTl5WX+HcGemUwGKpUKGo2GyVmU7RAMf7fNTazfi/VSUYCGUCdSjiOymNvtRiwWw9TUFDPOKStVqVSIRCKIRqNMUiVtBLFeL13LVs891el9Ph/3qedyOTQ0NCCVSvF0LgBYWlpi5IOuGb1Wr9czu99sNvPgEDouquFSuyWdaxrystUEhODkRCLBY0BVKhV0Oh06OzurpjPS3iI6TwocpAxxul+o9TMYDGJ6ehqhUAi5XI75Fy0tLWhpaeE2NDGLv9N1oPtFzMCBWxr9VqsVarWaSyni5DeHw8HqcoTa0P6Zz+eZE0VDTERUVhQVqjU8ZbO2YwdOUQdF38C6Ys4f//EfY2Ji4rYbQYyQpYsVf0ckBTKKUM6fP8/v93M/93P4+Mc/DpvNtisOnNSKqC4DrMOjra2tTLr6xje+geXlZR5WIjWaRKXX63HixAmu6+2mJRIJvP766zh37hzGxsaqfjczM8OCOOJ5r7XJ1NXV4dSpU3j/+9+Phx9+GOl0GhcvXuReTQCs4d3b24vOzs4dC9MUi0WcO3cO169f53Oo0Wjw6U9/Gn19fVu+jmJ2NTo6igsXLuDFF1+Ex+Ph+2dgYABPPvkknnnmGdx33327fj1IEW4jCwQCcLlcuHr1Ko+qJAdOD/7S0hKsVuueEAa3YmIJgmQpqR5ImgFutxuJRALLy8tcHiMCkjj5S0oIIgW2tbU1xGIxLlkZjUbodDpEIhGo1WpmK1utVh78stXzIl5jUYaTZDspGNBqtew0L1++jGAwiNnZWXYq5NBIxMNms6FQKMDpdGJoaIjV2KQErO0YnZ9AIIDFxUV2VGtrazCZTNypQVMd4/E4i89Q0JvP56HT6WA2m9HX14e2tjY0NTUhn8/D7/fz9SSHST38xN+RPt+b4WgQEkEdCPF4HNlsFg6HA1arFQMDA7wnUm+4eH6JtEyfTR0dosTu1NQUfD4f5ufnef+l8Z2kJtfa2spqclRb3koQJR20I2behFqI3KZoNIpEIgGv18vBFgUnFORGIhHW4KfgkxIO0aTdC/Szu9mOHPjNmzcxPz+P6elpeL1eJlGtrq7yMI9aETMV/GsxuekAam2yFNWTvfXWW5ibm8N9990Ho9G4k0MBsA6hLy8vc4QLgB/uF198EWtra1W/b21tRXNzM7q6ulBXd2uYxtLSEv7yL/8Sw8PD+N3f/V2eVbtbFg6H8Xd/93cIBoO3XWQab0fn3m63w263o7OzEz/60Y+wsLAAmWxdaOcjH/kInnrqKRw9ehRGoxGrq6s8aUdsGyLJP9Jh3omtra3rUEciEQDAsWPHuL3wTvVf2kgIJhwbG2OREJpFPT4+zqpIMpmMx0AeP34cn/rUp6pkV/fTjEYjjh8/jnA4DL/ffyBr2KxRJhUIBPheJgYwESF9Ph+3SwK3pEupH5aCAHKU5Mgpw6Na99raWlU7GkHzADgLlw7q2IzR59E9Q/O+s9ksQ8iU7a6srCAQCKBQKGBmZgblcplHUzY1NXEJgRwmBcd+vx8mkwkmkwlNTU0Mj9YKNDbLSCekI5VKMSeCCFNNTU0cLBgMBphMJkasdDodFhYWEI1GkcvlYDKZMDAwgPvvvx+dnZ0MoVPQJJKm6BrQM06BvpSzcLfzTSgH1ddXV1chl8t5MAkJmNDrRCiavuLxOJdmKCkMh8NIJBKYnJxkDgP1V3d2dsLhcKC/v5+Z+VR+E49hIxNr77Tfic4bACvaUUklnU7zJEOLxYLGxkbWmKCEhJAdmUzGZScRfgdu71ahZ2grzhvYoQOnOsTExAR8Ph/Onz9fdVKkEQUtTPpzkdm6lc2tVCohGAxyNrNTIwchnlxRAYlaCeRyOSwWC7q7u9Hd3Y2BgQHW6R4dHeXaFd2MxGLcLaMbSiaT8SYnEnKobkM9uw6HA11dXTh37hyA9RuMnFtvby+cTie/926Su2oZ1bIIxiSYLZVKIR6Pc68kQUx0TSgqp1Gn169fx8rKCoLBIK5fv45AIACPx8NRMpFljh8/jpGREfT09OzpTO27GZFdxPIMAO4AILGRgzYRCg0Gg1hYWGA9amqRJClYqlOKymmi8yQYk0QuROlRYvGKJCZg457ozbCK6W+ltVv6nFrENnEcaiqVgkKh4LGaDoejqt2KyjShUIjJbgqFgrUtyJHthIVOXxQMESfAYrFUtdspFAp0dXWxZCeRxohQSS16VqsVWq2W+5LFc07OlHgJ2wksxWOVTmITyVzUWUAT7UTCGGXb5PyXlpb4eoTDYaRSKeZLUbeC0WhEW1sbHA4HZ960d0lh6Tudb3qt2IMu3sdiXzlpfdA1Ia4GBYkUuND7ALW7J2rdH+Lniuu7m+1ox3jllVfw13/913yRthopk6nVajz77LMwm81bzqSJmb4bptFo4HK5ePoQsF6jnJ6e5puxsbER/f39+NKXvoSBgQF0dXVVjRJ87rnn4Pf74ff7MTc3hxdeeAEPPvggPvKRj+zKGgGgvb0df/RHf4SZmRkeg6hSqfDRj34UIyMjuO+++/i1dXV1iMVi8Pl8rOtMjPoPf/jDe6pxvpGJG/bly5dx8+ZNAEBXVxfuu+8+JrkpFAoUi0V4vV5W0JqYmEAymeRAS6yvVioVuFwunD59Gh/96EeZnCTODD8Ic7vdeP755/HSSy9hdHS0Cj4jBnR7ezvsdvuBwufk1DKZDDweD8bGxnDlyhXk83nOnOm6EfQqZtvUTgOsX2O9Xg+dToeBgQEWHqEgnbINavEikRViTTc3N8NqtbIs62a6OkQHKDrxxsZGKBQKZiqrVCoOVEKhEFKpFLLZLAwGA5xOJ5544gkWHKFe92w2i3feeQe5XI5Ho05NTaFcLkOv11cNNZImMHc752QUzBHBks4fyXFSaxLxUPR6PXw+H8bHx9kx9vT0oK+vDydPnoTJZMLa2horLNJ5p88hFELkJ2ylDCDWjgnxo8mLRLTL5/N48803mTlPxFWRbU9lmHA4zGNCxXUQemOz2XgYiNlsRkdHB7RaLaMT1O4n7gd3ulfE4VWZTKZKnIeOq6mpiYV+iHQGgJHASCSCubk57rmnYKBcLvM1MhgM3L1Uq1WOhr6InA069rv51B05cJogtJ22A2q7cblcaG5uxunTp/kh34rRxd0NUyqV/KCIJ08Kd1DdlZjdHR0d0Ol0VTAXRWuzs7Po7u7elfWRqdVqDA8PM+kpFouhsbERJ06cYC1qYP1GCIfDmJ2dxdtvv418Po+WlhZ84AMfwMmTJ6um6uyXyeVyPPzww1AqlfB4PEwuGhsbQzAY5K9oNMrj/KjmR61hxWIRarUaWq2Wlcyoj7WtrQ1DQ0MYHBzkOb07gazJOYVCodtaB2lGMH3ORhaLxXDhwoWqGhkZaf03NzfDbDYfivo3kaGolapUKkGpVFZtbJSx0YZFPbOkEaDRaNDR0QGTyYS+vj6+XmTi+xAL2Wg0MiuXgnnK3rdyXqTQKdVYVSoVz/mmbIlUsQglk8vl3PZHaltU9yQUgRAJ0sQulUpV44LpPErh2DsZZXsEzcrlciZkkUYDDfggljWhIeQ4dDodent74XK5+DXkLMVypuh0xUy8FvKxGRNZ40ajkVFAyqpnZ2e5f14UOiEnSK1W1JtOpRYa1EIoB7HwHQ4HBzekmU4oLN2H0rY+qdFr8vk8t6XRvUKoEkHhKpUKWq2We7op46Y2SOq8oLYyOh8GgwF2ux1Go7GKC1XLMW+X+3JgmJ3VasWJEyfwzDPPYGBggJnkB9kHS6IOer0e9fX1NVuCgHUWpdfrxfnz5xEIBPD000+js7MTWq2WI++6uvVRdNeuXcPQ0NCurlOj0eDkyZN3fV2xWMT09DRefvll/MVf/AV6enpw5MgRfOELX0BbW9sdnc5emUqlwi/+4i+iubkZr732GhOlCN6/m9GGarfb0d7ejt7eXjzyyCNoa2tDT08PO/LdMirTnDt3DmfOnKn6ncPhYNGcO53LYDCIH/zgBzW5HRaLhWcE7Kfe/0ZGzphmqFOpgxwpZTm0UZETpOyNepVbW1vxwAMPoLW1FW1tbez8CDkhUo9KpeINLRKJVMmVEoQsZid3y0jIcdJ3mUzG9wwxrnU6HUKhEIrFIvL5PCqVSpV+A5H1yOGRqiRB2ySZTAREcpIEp4pZ+GaCRzqX5DA6OjoY2iV4W2TnUxAxNjaGiYkJXLlyBWq1Gna7HadOneK5AaIULGXfYsmC1kYlK7LtlHKIkNbc3MzdLF6vFysrK7h48eJtrxdhaVobXfPm5maYTCYuAeh0Otjtduj1eu4gEVu36N4TofO7BSFiALGyssKTCgFw0EBZPykH0rkkqD8UCsHj8TD/IJPJMKyuUChgs9nQ3d0Nh8NRE1kWWfK16vV7DqEDG0tHSn9eV1cHi8XC/Z4PP/wwnn76abS2tjJMdNDkHpp89aEPfQhKpRIvvvhiFSMdAIu4/O3f/i1Df0ajEaOjo3j++edx7do1+Hw+/jnB2gdhmUwGP/jBD3DlyhWsrq7iU5/6FB577DHOiA7CCJa677778Du/8zus1nT58mVuhwHWNwRCE5qbm3n4BT1YnZ2dvKGZzWZWidvtOvLq6iqSySSmpqbw+uuvV/2uq6sL+XweIyMjjBzRIJx33nmHB+HMzc3d9r6kVf+BD3wAH/nIRw5cRlUsRYiDSwjd0ul07Gji8Thn6ZStEArS09MDh8PBwRU5PnLcIkxI7ye2LlGtlLIYsVa6kUkzF45i0AAAUSdJREFUGjH7IsdIvIjW1lbkcrmqeey00ROUHovFAKzfg7FYjAle09PTmJ+fZ3i0qamJe8KlLVDbMUIKLBYLQ7lS2U2abx+JRBjVkclkOHbsWNUMdhKZIVSBHBwRVKWOTgySxEx9MyQwCgZorCxlrYuLiwiFQlhZWWHFMrrmVHagc0itbCSaQiNrKfMlLQBR2pcIiVK4fCPytGhUQqE6u8fj4eEkZrOZEwFqHyQNDSJ30vjgSCQCj8fD/ehyuRwajQbNzc2s3mkymaBUKm8jB9IzRwx36XndjO1otxMjiDul/8RQpbaCnp4enDhxAg888MBOPn7XrbGxEQaDAX19fUgmk/jxj39822sqlQoLhQDrN8vMzAxDwqSKRNH08PBwFUlsv6xQKHDNOBAIoKGhAcPDwzh9+jRnPQdlSqWSoXydTgeTycRkFbqn6urq0NfXx2UCEmFRKBRQq9Xo7Ozcl2OgCJ8eVNHq6+thMpng8Xi4/S0SiWB+fh5nzpzh2r40CCRmPxEgjxw5sqt96TsxcUMWZTXFDZGUpSjrpGzDaDSiq6uLiUU2mw1KpZLhaOAWWUckltH7q1SqqkxW+rUZo+wbqJY4peeRoFhiRJPYDADO5MRRs/R3crkcXq+XiWIajYb712sRwLZzb4plBSI1UgcAOXIiE9IY5kwmA4VCAafTybPVif1MsDyhmoQUSAMc8bpsZ+0i6ii2/RHhjIam5PN5duBGoxF6vR6tra2s6U5jROlvqPOFAiypaI74XTyHm1m/GNBkMhlWvaPAgMjBfr+fCXXkwAkyj8VirOxHpE7an2w2G8/+Jn4EqfmJRG+6BmJwu5UgcEcOXMT7N7K6ujo4HA64XC7823/7bzE0NASHw3FoNqxa1tvbi/r6eqjVap5RvpFVKhW8++67DCfSjdvV1YX+/n68733v21XVr83a+fPnMT4+junpacjlcjz66KNwOp0H7rzJjEYjTpw4geHhYZTLZfzO7/zObeeZCB+kyiUKTByGYyDVvjNnzlRlitTPS7CkiEZRYHL//ffj937v91jW9SDRJxF+pC+CbQkyj0ajnAER8Ybq9+3t7Th27BhsNhtcLhczdOlvi8UiOxKxDri6usrKVbVaaGhd4jrvZmJtVwwSaNRjZ2cnGhoaMD8/D5lMBo/HwyQigmaVSiU7CspwaYNtamrCkSNH0NLSgqNHj3JtWiTPiRD+Zs49fae9Q2SyU7BEjqVYLGJ5eRkejwfBYBAGgwFDQ0Po7OxEc3Mz94oTN6ihoYEDEzFTFk3KgJYGTHc673R+6ViJKEijSkWhGTJCXchZ07NNKA1dw2KxWDW5S2ToU6ADgIMbOu6t7A3kxHO5HBYWFlhulnr+FxcX2b9RyYWebZEASOS99vZ2NDc349SpU3C5XGhpaWEWvlguoGshBpvSa7AZ2zHeWCtqow9vbGxkEsvJkyfR1dWF5uZmjhIPq1EbxtDQEBobG7GwsFB1gQiWAtaPNRQKMYmEIsfh4WEmk+znKFQyv9+PpaUlnr388MMPH8is6Y2MoM39JtHtptHDK+rJ1zJ6SAkqfN/73ocTJ07AbrdXObWDNhH9IAdODoBarIjNTa2I1HJFrG1pKYyyQFH7mT5DJM2Jm6/0Ht1MBi7uQ6IDp4CKfk41eqPRiGw2y45ELpfzECK1Ws3SnlQjr1QqXIfu6enhWQOUiIifR8cnrmsz5x1A1fmgjR+45WTpfsvn82hsbOQSEwmxkAATOQdy/OQ4aE21+pBrretuyYu4bvpO9w9NSaP9T4TmaY2kLSGtWdPx07/F+4I6GSibFVsSye5GwqPPo4yZsn8ASKVSnE1TcCcG40SUo24Sug6EKBApVRyEQ22x4rFutlPhTranJDalUomBgQF88IMfxNNPP83O77CbyWSCSqXC008/jQsXLmBhYQF6vR5WqxWf+cxnWG8XWL+gb7zxBvL5PHp7e7lee+zYsQNp0QLWb/i5uTlMTk7CZDLh9OnT+OIXv7granX3bPvmcDjQ29uLz3/+83C5XIfuWaDNpaGhgeFmpVLJrT06nQ6VSoWD8I6ODs7AacgNOYdSqcTOnNS2RPiQ+qtFGJs25q2yoMX1i46TUAXStqaMb21tDU6nk7s0iCF/9OhRmEwmWK1W7lmm4T6ky05DOQhCJ2i3FhdoK+sX0QZR14IyNYVCcZskLJG7+vr6mCiVz+e5pkrOm+YNiJk3wc90zrfLggZQFbhQCYTIg1QTpmOgY6IsltjvdJxiPz0FHmLwAdxC5mjdUrRlM0ZBBnEZaE+ncpmYhMpkMpRKJW5HpGOgY9VoNOy077//ftjtdnR3dzP3gxAQCmTpOQCqgxl6363Yjhz4U089haamJkxOTsLn8+HcuXO80M997nPo6upCS0sLenp6djTX+SCssbERTzzxBEZGRvD4449zW0NXVxe3OQDrJ5xgEtJvpn7NgzSbzYaWlhb4/X5+WHdCsPl/1ahv/qMf/SgsFgvOnDmD5eVlLC8vb3qz6O/vx6c//WnubSZ1rMNi5PjIsdJkOACs/x0MBjlTcblcMBqNaG9vh81m4/p3Y2MjtwIRbE61PwBVfbBEfpPCn9sx6d/S5i6y5kkEiAZ4PPTQQ0gmkzhx4gRn4Q6Hg50OwdXEPCYiFTGUN+pS2UrmfbdjIqdGaBUFI5SZ0n5D6yWoWoSXyaTcA5H4RYiFFDbfDOohQsH0NyLxDgCTIsUWSvH9KXCkbFzMuEV+ASES9JlS4tdWjAJVnU4Hp9PJXUOhUIgnMTY2NjJRLpPJ8OdQMEq97S6XCy6XCw6HAx0dHVCr1Yx+iJm3WCYi2yn6tiMHPjIywopXk5OTmJ6e5nrTk08+iaGhIRgMBuh0uj0Z6rGXVl9fj/7+fvT39+ORRx6542u3O/pyr0wmk7GetFarZQWse7Z1a2hogMlkwtGjR2G32xGLxSCXy3kQy2ast7cXn/jEJ5j0ZLFYDoXqmmjiJqNQKKDX67G2tsaZNTkw6u82Go1wOp1MClMqlbfVnun80Hcx4xMHnYhktt0q8Ui5OQR5ksPr7u5GsViEy+XioIL0H8hRiBsw6TuItVpxktR2EIO7GTkysfxA54lgWzoecu7isYsBpvR8iw50KyRBqdF7imuWvh+dK7HMQfcBGf2fOAAUhJBTp2BJVHvbyTmnz1ar1TCZTJDJZMjlcrBYLNBqtdxaR4O66BwTukET0Gw2G3p7e9HR0VGl3U/3vyjRWmu92yGuVf39Xf7wjr8kCIzEHohtK5PJqkTlRWjrnu2PBYNBhtpIYeqw1L9/0ozgstXV9YlORCzarFFrjOi89sg2fYEnJiZue7ZFMhuRz0j1jiZzaTQaGI3GqmyJHE2lUqlqFaK+agp2KJOlzJyyNSn0uZ379E7OgTZjMYAQAyj6fEIKiJuxkbIaOREp+xm4e+31TkZ7sUgKo3OlUCi4FSscDqNQKKC+vp7lk0VBHYJ1iXVOzlOUsqVjqFWukDrl7axdWhKROnZxTK302kjfA7jFoCcmNwmtiOgRff5W1izyBGjoCMkdi4EbBai0lrW1tSoiHt3zIiNfem7EAFUaRNHvN7LBwcGav9xRGkAnkqBxi8Wyk7e7Z7toJEEJ3Krj3LPtGWWmlJ3+czbaeERynchqJpIm1QXJ4YubPp0v+lsysV65USayXRNhdOlnUEYqbvKU5dUizonM6lpEOLFeLbXdeM5qrUssgxGJliZ4NTQ0VLWH0TmQOmFp3VVcq/T8bdVEOL3WZ9Y6ZyKhS+qApa+t5QRrfcZW10zBnJj9kygT1e1JIU8MUikTJ/8ntreJnALxnEqDXelatmOHC8e7Z7tmh40gdc8Ov4lZJG1OYpZDvcnkuLPZLP8t1SrFVj+CmImoJMLOe1HSETdyqZOioIKyZspKCZ6mYwVuiXxQ1leLZCW+N52znZo0CxazNZJvJUIaidOIbHMxc6/VIy2+r9hrv5tlC/EaiKUTsUxCa6RzSddAig5I31vkNYi2k3uJPp/KI/Qz8TyJyIBYpqBjI4SHgjxy7mQiikPHvVt2z4Hfs3t2z6qMNkvq9waqa6hSgpVI0KkFZUod3nZ7XjdjG2U4ZLXad6SZKWXr0ixe2gYntb1AucTzLTpAKRRL6xEFWaQISq3sdS+ROboHpMHERlCzdF3S34vXQ3ps9O+dWK1zIXI0xFJPrfu3VjlC+t67zZW458Dv2T27Z7eZuHmK/xZJUGIGJfYpixm2uOFJ64K7mf2JJmVXi8cE3O58pQ6cTNras9Hf76UTlMLDUscmnkfxOki/xHVudH520+i61yI10s/FwE8aXNRCOTaat77bxyAN7qRf0tdKuQS17rta5YXdsHsO/J7ds3tW02ptZKKJzkLcsMVN9k4Z1l7bRhv7RpnWRiY9loNau5T8WOuaiFlqrd/d6f13w6QohvizWvyRrTq1/Tr35HSl/A6RICkGGdJj3a0a993sngO/Z/fsnt3VamVttWDo/dq49sv2M9uW2t0CkI1+LyUOHpSJzvwn2e52Du90vvf6/N9z4Pfsnt2zTVutDekgncRe2mENPu50vv+5Xov9ts2cx8Nwru858Ht2z+7ZrlmtrPwwWi2y3X5C5Ltle10PvmeH2+458LuYSMKoVCr3eqrv2f+Tdqd7fiMy2mF0Lhv1G0tr9yKbW/y7w2IbXY/N7k0HdTxb5R/8JFgtouR+2T0HfgerVCpYWlrCj3/8Y7zzzjuYm5vDn/zJn6C7u5u1ou/ZPfvnbCJRR8oUFuveIiOdXifKXtZi80rFOvY6AyZS0urqKrLZLAqFAtLpNGulkzhKU1MT1Go1lEolB+/SkZxi//JetQgBtc+FlKFdi8Fd6zrVEnrZy3r5Rmvf6B6qdU9I7bCgJOJ9Le20kA5akSr2iWx1eq/t2j0HfgfL5/MIh8O4fPkyLl26hLm5Ofj9flgslnsO/J79P2O1WpKA6k1X2mtMZDexd1bqvKWZiyhEsttGn0mymalUCtlsFpFIBPl8HsViEVqtFlqtlqeuicIvInlPZCmLhL690kSn97/Tz2s5gc30fO9n9lurpW07a6j1Htt5n52YdP1iq5j0/peSPmsFXNtd+z0HvoGtrq5ieXkZly5dwnPPPceC9lNTU1Cr1ejp6TnwKPCe3bO9NNEZS3WtxWlLNK5TmoFLRS9qqW1JM1ppT+1umLjeTCaDbDaLxcVFRCIRzM7OIpfL8WATmm9OoyYpYycBGDFDFAMT8We7nSVKN3zRyEHQ0AzRWUhV46SZn+ho9sL5bQQtb+S8ZTJZlYKZFB2QBoji2kUnuhcm/UwAVfK64tQ4sQVNvB6kIieO1RWD3+2sfc8ceDKZRDabhdfrRSgUQjAYRDweZ1lFYP2gVCoVNBoNBgcHYTAY0NTUBIPBAKVSuVdL25SVy2VcunQJ4+PjLJ9XX1/PA9vvOe97thMjWPbs2bMYGxvDU089BZvNxnPmD9pqZW+04WQyGR69mEgkEI/HeWCJOHVKo9FAqVTyhCeTyQSVSsXDQsTxkNIa9G4eg1jXJjlMGpG6vLwMADzv22KxwGKxQKVSoVwus4RpuVxmuU0KRGrJlW6UHW53/SIkC9SGvoFbCnMkjEK63uJeS+1c4t/Wcia7ZSJ0Lw4nqYXk0DkU5XjFY6DZ4LRmEaYWOUrS49vJukW7k4Otq6vjIT2VSgX5fB7BYBDJZBKZTAYGgwFqtRp2u52Ho4iT7Ogzt3PP7IkDr1QqiMfjCAaDeOeddzA6OoorV65gfn4eqVSKXyeTyXie8M/+7M/C5XJhYGCAdX4P0kqlEq+drL6+Hp2dnejo6DjAlW3ONupH3OgmFOt4h81qrf1ucOCdspbDYDTZ7IUXXsBzzz0Hp9OJEydO8GjDw2LieSRnlUgkEIvFMDk5CZ/Ph6WlJYaiSR9dJpPBbrfDZDJhaGgIDoeDp2qRpnq5XEYul6upfb2b6xYdIDnwlZUVBAIBuN1unrBmNpvR3NwMh8PB88ApMBEnYJEjpKEWux18iNmmqNUuramKzwU5AulgDsoS6T2k2uiibOxuOUDpmujfIjIhzWTF6Wikw0/ZuDjIhRAeuh7i+diNAKQWX0Bcs/R1AKrua3oG5ufn4ff7EYlEeNSo2WzmIUF0TsTrsR3kZs8y8OXlZYyPj+OrX/0qkskkUqkU8vk8XzhaZCKRQC6Xw9e//nWO0j/1qU/h+PHjOHbsGFQq1b7PTi4Wi0ilUrh58yYWFhYAAB0dHTwHmaavHUaLxWIIh8O4ceMG4vE4ZDIZAoEApqenEQ6Hkc1mb7tB6uvrYbfb0d/fj5/92Z8FsH4zORwOvjEPwiqVChKJBC5dugSv14ulpSVcvnwZa2treOihh5hoROMv5+bm0NDQALVajSeffBLd3d1oaWk5lEISgUAAL7zwAiYnJ1GpVHD16lXU1dWht7f3wB24FDqn7zRq0ev1IhAI4Nq1awgGg1hZWeG/FZ/VaDSKZDKJUCgEnU4Hq9WKwcFBtLa24siRI1AqldDr9TxzWYTPRbhetM1s0KLzo1GQ9LfxeBxra2uIRqOIxWIMnXd1daG3txc2mw3ZbBbZbBb5fJ6DDcrec7kcZ4ji8ZJjoWelVv3/biY6Pbpn6Rxks1mkUinEYjEEg0FkMhkkEgnk83mk02kkEgkeASt9H5fLBYvFgq6uLp6xrdPpqsbcknOXkq62WsoQHaB4zJSl0vul02lkMhlGaAnNAQCtVstT72igTDqdZkfZ1taGpqYmtLe3Qy6X85hUKpPQ59H5287axXXf6fV0vgghoLHaHo8Hi4uLCIVC0Gg0PFoXAL9e5Fds1/YsA8/lcojFYlhYWLhtdrIIM9Fs5XQ6zZl3Z2cnGhsb0dnZyZDKflosFoPP50M4HEYqlUJ9fT0cDgf6+vqg1Wr3fT1bsUgkgrGxMVy9ehXRaBQA4PP5MD4+jkAggHQ6fdtNWV9fD6fTiVgshqGhIf5ZpVKB0WiE1Wrd12OghyIajcLv9+PatWtYXFzE4uIi3nnnHY7ENRpNFdQ5NTWFxsZGqNVqOBwONDQ0cOZ3mKxcLiORSGBsbAwrKyuoVCrIZDLIZDIHvbSam4mYMRGDm5xJKpVCKpXisYviuab6eCqVQiKRQDKZ5ICro6MDMpkMCoWiajb4RmvZSmYlwsYidEwbfC6XQzKZRC6Xg0wmg16vh81mg8FggEqlQrFY5GlkSqWSHTY5ZILTpVO1yBHSZ21lNjX9Da1fWlen/dTn88Hj8SAej3PyQ9cil8vdNuK1sbERhUIBsVgMdXV1UKlUUCgUsFqt0Ov10Ov1VS1ze1XKoC/KtuPxOOLxODweD3w+H7xeL+LxOCqVCkPONNOcnCI5cJlsfdId7UvinHPxnG0HTax1zaT3oZiNi4EaOeZ8Ps/HF4vFGKkRkSzpEBrpnIDNnv9D5YnoYn3rW9/Cj370IzidTvT396Ovr29f1/HDH/4Qb775JpaWlpDL5aDVavHhD38Yn/70p+FwOA4sI92Mvfzyy/jd3/3dqhuaICi6qWsNc/D5fAgGgzh79iyA9XnQP//zP4+TJ0/iF37hF/Y1K8zlckgkEvirv/orjI2N4dVXX+VxiVQ7+uEPfwgAtz1I9LNUKoXBwUEcOXLkUCEmlUoF4XAY09PTePnllxGPxwGAyVMHadJrLM2gxKxYJK3RpkrXR8ze6atcLiMcDuPq1atYWFiARqNBa2srBgYGbqvz1iIqSdezkdWCJIlsl8lksLCwgMnJSczMzKBYLMJsNqOzsxNDQ0PszFKpFCqVCgeDxEavRRajoEa6yW9Uq65lIpwqJT1VKhUUi0UsLS1henoao6OjWFhY4ISHPr9YLGJ1dRVarZaDi1wuh0KhgOnpaT5umuk+MDAAp9MJuVwOrVYLjUZTdc63a+L1ovchYtfq6ipWVlYQiURw9epVBAIBTE5OIhaL8XPQ0NAAk8kEhUIBuVyOYrGIcrnMzr1SWZ/HnUwm0d7ejvr6emi12ipOAl37zXYF1LpG0r8Ta/TiSFNC/yhwisfjWFlZgdfrxcrKClKpFBoaGnh2O11Pen7kcnkVB0Fc/2auw544cJlMBrPZDIfDAYfDwZGiyNCjE05zVEWj/szx8XHI5fJ9c+CpVAo+nw8TExOYmJhAoVBAY2MjZ6F2u/3QOu9cLofJyUksLCwgk8nUvAFqjXgEqvtj6VoUCgVcvXoVhUIBAwMDaGtrg8Ph2NNjIGLU9PQ0ZmdncenSJXg8HmSz2dseMimqI7VisYhCobCXy922Ub8x1SsBIJvNIp1OH+i6pBkM/YygaIJBqdWK4G8qjdHmRo6Ogi2xjpvP57mGbjAYeL61mLmLG9pGUPpGaxe/F4tFNDQ0MPEuHA7D7XbD7XajUChAoVCgtbUVNpuNoWSqwZLR/iTOBpdyAgDcVscXx09uFgESN2+a+U1BUSwWw8rKCoLBINflpZs/rReoJu7RPptKpZDJZFBfXw+dToe1tTU4nU5YLBYOWHZruIh0/ykWi0gmk1hcXMTy8jLm5uaQSCRQLBYhk8m4555gaAq46PgaGxv5GtC9RZ8jfm0V9dho3RuhP9Keb8qsxUlw9Dr6O/odvZcY8In18O3Ynjlwp9OJdDqNnp4eLC8vIxAIMPxMD3ipVEIymbzNgQPrDuS9996DXC7HRz7ykb1Y5m22srKCc+fO4eLFixgdHUWxWITBYIDdbofdbj/Uvd+pVAqvvPIKJiYmduX9VldX8e6772JpaQnNzc14/PHH99yBZzIZjI+P45/+6Z/wxhtvYHFx8dA64e2aTCaDRqOBTqeDVqtFOp1GPp9HJBJBNBrddTLXdkxs8aLMuqGhAQ0NDVCpVDCZTCgUCmhqamLIkIIRtVqNQqHArVmlUomz2Pr6eqTTaaTTaUSjUX4fKVGOvosw9WZMhCbJGdBmH4lEMDMzg4mJCUxPT6NYLMJkMqGvrw9tbW2wWCz8WUqlkt+DMttcLndbOU8kk9G/a5UB7gaJSlXhyHkrFAoWmQkGg/D7/fD7/Qy9ikx+WgdxCUSyF13DbDbL16WhoQHpdBpms5mD4aampttqyndCEcRjkv5bhJorlXVm9vLyMm7cuIHJyUksLS2hXC5DpVJBqVRCqVRWkQLz+Tzy+Twfp8Fg4ACQ/Ac5RrF1casmHpuUyEvnjV4nDRJFlIm4EmJmTq8Tzyl9iUz6nQQdewahG41GDA0N4Q//8A+xvLwMt9uN3t5ehjt8Ph9mZ2fx7W9/GzMzM3u1jE1buVzG1NQU/ut//a9YXl7G2toajEYjjh07hn/9r/81Tpw4cdBLvKPlcjlcvHgRHo9nV983EongH/7hH7jt5oknnoDJZNrVzyALBoP4zne+g+vXr8Pr9d62GQLrBBe1Wg2n08kEnnA4/BPj6NfW1uD3+7G0tITl5WUmFY6MjGBkZOTAuwDETUrcwMvlMhoaGqBQKOBwOKDRaDjLJShaLpdjdXUVoVAIS0tLmJiYwMrKChPCyInQRkdBgZQxThsa9V9vZmOmzVR0lvReqVQKkUgEc3Nz8Hq9iMViaGlpQXt7O3p7e2E0GgGAiUhivZucA7W/KRSKqjYyOl+UNUr727dy3qXMc5lMxt088/PzCIVCKBaLkMvlXCYiVIRGdZIDp+BpdXUVOp2OSx3EW4hGoyiXy7h+/ToymQwKhQKjK1qttuoa3O28i99rOURCP8bGxnDjxg3MzMwwaiNmqtQ+TMhOOp1GNptFqVTi9xJRQvHcST97pyYGsHRNCHEpFou8bhGVIXJeMplEOp2GTCbj8gRxP8T7k54rEa3Zqu2ZAydJwtOnT8Pn86GtrQ1DQ0NQq9WIx+OcfVBdQDQis5lMJmi12r1aIhtFrisrK7h+/TqAddjDZDKhra0Np06dgsVi2fN1bNdSqRRWVlawtLTEtSIyYuHqdLqa8FAmk0GxWIRerwcAbp2haDiXy2F6ehrNzc0wm8144IEHYDQa96QmnsvleKMiOJmcBtWRSCegt7cXkUgEPp+PGbiiiYSiw2SVSgXRaBSRSATJZJKzWqfTeSgQnlrXVYT46urqoNFoWBOB7ieLxYKGhgYkk0nU1dUxYY2yRNq8qD1IqVRyT+xmYfI7rVncREVIlTZcCvRSqRTK5TKamppgs9lgtVqhVquroEzRgVOAQesW51zT+RAFaMTAh9a2lWeF1k9rSKfTiMfjiEajXEqi91xbW4NcLofBYODAghADsUWPOmcowFpdXUU+n0cymYTf72cyWz6fh0qluo2DQPfAndYsmpitymQylEol5HI5RCIRJBIJJtJSIEfnt6mpCRqNBhaLBel0GnK5vAqd2OicbpZrsFmTrp+uCXAroBEdrlgWJjIqBShEtJX6OTEgkULoWwn89oXE5nA4YLVa0dDQgEAggN///d/HxMQERkdHkcvlbnt9c3MzXC4XfvM3fxNtbW17vr7V1VUmHZA1NjbiAx/4AE6fPo329vYDz4w2srW1NXz961/H5cuXcePGDdZsXl1dRWNjI6xWK5588kn8q3/1r9Dc3HxbQPSNb3wDY2Nj+J3f+R2srq7i4sWL+O53v4uzZ88imUxyP6zf78fU1BTC4TA/8Ltt9fX1DLcCgEKhgMlkwunTpzEwMID+/n50d3fDaDSitbUVZ86cwQsvvIBIJFKlLwCs33MdHR2HzomXy2W89957uHbtGreN9fX1oa+vD83NzftKFiSTZlHkzETSVqlUAgB2cCqVCi6XC8D6hhcMBhGLxXD58mUsLS1hYWEBoVCI65harRYWiwUmk4l7w5ubm6FWq2/bMKWw4mZgXFHkg/q1SSyHEIHp6WmUy2UYjUYcP34cXV1d6OrqYsdMnyvyK4jzUigUGM4mxyiXy6HRaNiBEvGMiE1bvQYiV6BYLCKfz2N2dhaLi4sMOavVaj7e5uZm9Pb24tSpU7BarVCpVFwzJxnodDoNlUoFYP3em5iYwOLiIhYWFpDP57G4uMi1746ODjQ0NPAesVn4XLxORCQTmfn0eqVSiZaWFiaoyeVymEwm2Gw22O129PT0QKVSoVAowO12Y2pqColEgmVv6foaDAaYTCa+NmIWK2V13+l5quVQgWrnLA0GKaije4WCUrov5ubmMD8/j0gkgs7OTrhcLvT09MBms1VB/XRu6bkSk6utBCP74sCz2SwSiQQmJycxPz+P0dFR+P1+JJPJWwtpaIDFYkFPTw96e3tZ1nCvM3BqKXnjjTdYtEWj0cBkMmFkZATd3d2bcgLk5Eh1jjYBuml7e3u5ZWY3rVJZb9nLZDJVhECZbL1FZ3h4GIODg3C5XDCZTLcJ5Jw4cQJNTU1wOp0Mcd64cQNut5s3vEqlwi2BbrcbarUaOp1u152N0WjE+9//frhcLgSDQcjlcuj1ehw7dgwtLS1oaWmBwWDA6uoqzp07h9HRUSa5ken1epjNZhw7dgzHjx8/dKTD1dVV3Lx5EzMzM1hbW4PJZILL5YJWqz1Qtrw0qxEzL9qopPVVmUzG5Lv5+XkEg0FMT08jGo1yvzWhJxaLBZ2dnbDb7WhqaoLVaoVGo+HPkG6mWw2YpXXmSqXCMGwgEEAoFEIymWSHS8Q1gqPFrJuMNu1SqcSoEBHB1tbWeJ+w2+3sxCljF6H0uxk5AxGNIG5BLBZDLBarQgTK5TIaGxths9ngdDrR3t7On08wLxFws9ksE9ay2SyCwSCi0SiUSiVKpRIKhQKy2SzDvnq9vkpNj87lZs5/rUySgimNRgOn0wmlUsnJnEKh4PvBbDZDo9Fwt0I4HObyC8lYq9VqGI1GOJ1O1qgQOQnSwG+r+5OYFYvHJD1+8X4B1oMKsX2MEh+NRgO73Q6tVsskPbHUU+t9xe+bOe/74sBDoRBu3ryJP/uzP8PNmzcRCoVuq1UpFAocOXIEv/zLv4wTJ06gpaUFWq12zzOSeDyOxcVF/MVf/AXLKprNZnR0dOCJJ55Ae3v7Xd+jUqkglUrh/PnzePvtt/Haa68hmUxibW0NdrsdH/vYx/Brv/ZrsFgse5YRSms1BHV+9KMfxYkTJzZsUXr88cer/n///fdjfn4e0WgUy8vLnEn4fD6EQiFcvnwZANDT07Prx9LW1oZ/82/+DUP4VN8TyxeEBPzBH/wBvF4v/H5/VU3Mbrfj9OnT+Jmf+RmcPHmSa4OHxUqlEl577TVMT08DWEebjhw5Ar1ef+D6AlLoVNzQKCAtl8tQKpX8u3A4jMXFRbz33nvwer0cmFCfvkKhgFqthsvlwqlTp9DR0cGbtVhXFKFhWstmTISuyeg9k8kkIpEIpqamsLCwgGg0CqfTCZfLhba2NthsNmapr62tcTZUqVQ4K8/n80ilUpiYmEAwGITX62XBEavVCqfTyZm80WiE0WjkDZoyQ3GtG513KZu6WCwikUggGAwiHA5XZbWU6Xd3d6Onp4efRXIqFHQoFAqUSiU4HA6Uy2VmsUejUWi1Wmamp9NprKysIBaLQaPRIJ/Pc8lgK867VhBGwkpmsxlDQ0OcZFDpqKWlhQWZZmZmsLKygqtXr2JpaQmLi4tcEnQ4HGhpaUFPTw+OHDnCaCKtUQp1b5Y3If6teB+JgatIZBOJauVymQlsxWIRmUwGoVCI9TfMZjO6u7vR1NQElUrFvezS+1Vs0bzTfVLL9nTHKJVKCAaDuHLlCl5//XV4PB4kEomakQf1hT700EOsmbwfcGIsFkMgEGAhBAB46KGH8Mgjj6C5uZmzhDtZKBTC1NQU/uqv/gp+vx/BYJAdXz6fxyuvvIJoNIpf+7Vfw8jIyK4dF8lBTk5OYnFxcdfqQF1dXXj44Ydx6dIlFh3ZD6NAjvpuxQcyk8kglUrhf/2v/4WxsTHMzc1xO01DQwM0Gg0+9KEP4ejRo3jiiSfQ29t76LJvqclkMrS2tuL+++9naPQgTYSxpZuyWPulDDEUCmF2dhaTk5MIBALc8yrKYFLWrlQqudfdaDQik8ncRkiSZt1bceLALXifMtBwOAyfz8eOwGg0oqOjAwMDAzwylCBnIszRhkxOPRAIIBAIYHR0FMFgEIFAgBGfSCTCOvAEe1M9fSvkO/outiFRux3paYvtbGq1mjNSAIx2kIMhp0PPEDkpgqydTiejEVRXTyaTiMfj0Ov1KBaLNblJG537O/EmKJtXq9VobW2tul719fWQy+WcbZ8/fx5+vx+Tk5PIZDLI5XLQ6XRQq9U4fvw42tvbMTQ0BKfTycmdWJPejkmDRrGEQ/ejWEoSNQHo/zqdjhGMWCyGTCaDxsZG6HQ6mEwmDg7p/hQd9VbulVq2pw68WCxieXkZMzMzuHHjBlZWVpDP5297Hd1c9IDtpyWTSYZqqCfR5XLh+PHj0Ov1d3QCVPPx+/2YnZ3FuXPnbqt95fN5hhWfeuopdHV1sWjCTo3gQb/fj3A4XPXAEVFoO1KoVqsVPT09aGlp4Y1kP0wmkzEzGbh1fonFGggEcPbsWdy4cQORSKTKoWg0Grzvfe/DyZMn8cADD+zoodgrI4IgbXpE3GlrazvwYEPKjhV/XotRTVBnIBDA8vIyy3qKE5dESJrIVtQ+J2qgi5CkNBPZqhOne4Yy8FgshkgkgkKhAK1Wy3oOGo2mSghF/GzKqEqlEiKRCAKBAJaWlhAKhRCJRFAsFhlep72L4GESR9lMCUBashCPnWqq+XyeeS3EdG9sbGRBFgocSByESgLi+aNrSM7GbDbDarVyiaNSqbB8bDab5c/YrG0ENYskLwqyyeicU4vf/Pw8B4KBQICdnVKphMFg4FKBy+WCTqfj8oBIbtuJSR25CMdTMELXVFojb2xs5L51mi9PyBMdMx2PeM7os+j7do5jTx14IBDAn/zJn2B2dhZzc3MMUR0mu379Ot555x0Ui0V+MEwmE5qamu76EJLz/8//+T9z3/hGr8tms/je974Hv9+Pz372s7syrIXgf4/Hw/2hZMePH8fg4CAef/zxLUuhkrjFH/7hH+L8+fP44he/uKssz81YpbKuWx0KhXDmzBm8+eabeOONN5BIJLguT1ZXVwe9Xo+nn34adrv90BHXyM6ePYtLly4hkUjwuEqj0QiDwXCgJEna6MUNVwptE0kLWA8cQ6EQLl26hOnpaZawFQUr1tbWGIpVKpVQq9XcJiRCxQTziqJOojMTHfNmTITD4/E4E7mUSiV6e3vR1dWFjo4OZsBLa/3kmKPRKJeMPB4P5ubm2EES9E5sbrfbDaPRiEKhAKfTCZ1OtyWOiBT+JRJaOp1GLpdjR15XVwetVouuri60tbWhq6sLTU1N3JoLoCooofMqEsBaWlpgNpuhVCqxuLiImZkZbteibF9UNLvbPXOn6yAmM3R/UC86dWG43W4sLCxgYWEBXq8XhUKBSzQy2brMrdFoZCK0yWRihIVaMEXuwHaD9lrMc1F8ha4PBXfALR38bDaLpaUlTE1NIRQKYW1tjRMgUV9ALOeJym7i5291n91TB04SeBSVbGQUXWazWUQiEeh0un0j9NBQgLW1NahUKrS2tsJisUCv199xU61UKgydLywssAOlCz8wMMAPFk09mpubg0ajQSKR4E1xJ0YbFUXmADgIOXHiBI4dO8b1l60Ybbqtra1wu938WZVKBdPT01Cr1Xj00Ue5v3G3jYg7V69ehc/nw9WrV7kGWcsqlQojHWtra9DpdLu+pp0YCYHMzs7i2rVrKBQK0Ov1uO++++B0Og9Fh4M0A9+IuANUa4pT2xLVkmvV0SkgyGaziMfjzLAmlKhWDXK7JmZOpMW+trbGARO19IgsaSoP0HdCncLhMILBIGfwRN5sa2uDQqFgB0utXhqNBplMhrPaux3LRk6QgicSoSGHSslFc3MznE4nB0Ri8FXL8RKMXV9fz8ff1NSEWCzGkDvtI1JFua1YrcyV0Bs6r/RsU8ur2+1GIBDAysoKXyt6DwoCSBhIRCP2OqGQ3o9ShIR+ToqPKysrCIfDWF1dhUKh4FIREQtFFKvW2rd7TIdCC71SWWdSB4NB3LhxA4ODg/vWE5vJZJBMJlGpVGA2m/HQQw+xTvCd1ru6uoqxsTG89NJLWFhYQCwWA3BrtNznPvc5DA8Po1gs4qWXXsJf//Vf4+LFi/D7/Xj22WeZmLETE6M2emgMBgPa2trwi7/4izh9+vS231smWx8HSTKL9JD//d//PcbHx/HEE0+gra3tjudpuzY9PY3Lly/jT/7kT7C0tHTX1xeLRYTDYfz5n/85Pv7xj++7dv7dLJfLYXl5GW+//Ta+//3vI5fL4dixY/jiF7+IwcHBg14em5QIJrJmxd/T7yhbFrXQyZmTmpjIYaBNm3gOarWag0speW2r2ZT076hOT06BmPAajaYqOZA6cEo6lpeXMT09jfn5eXYudrsd3d3dOHXqFLRaLbxeLxYXFzExMYFQKMRwMMkvb2VTFgMdcqYEjROcr9Pp4HK5cPToUbS1tcFutwOoDlQI2SAJVbom5HxoChkFHfQ6EQUR13Sn9UszVvHfIreBmPOpVIrb4q5fv86TE+l4KZMul8ss0Ut7m9frhUKhgNlsrlL22+g+2IozlCJQYllHPAYRFSIfkM1mEQ6HMTc3h7m5OR6yMjIyAqfTCbVajXQ6zQ68ljOX3idbue/31IE7HA781m/9FsbHx3H9+nW8+eabCAaDNWsl+Xwe165dw3/5L/8FRqMRGo0GDocDvb29eOqpp6BWq/e8TqjVatHe3n7X1rVYLIZ33nkHr776KvdL00Z2/PhxnD59Gg899BCsVisWFhYYaqEaaCgUYlhoJyZuVnRD2O12nDhxYtf6tMWomiA4qkPtNsObhk38+Mc/xquvvspBkWgEwYrDTYD1czszM4OpqSnMzMzA6XRuioC4H0bzp0k0h+qRWq32wGvfot2JXEP8EHICMpkMJ0+ehN1uh8Ph4DYrmq5GjogQKNqUqQe4paUFNpsNdXXrE7JIG17czLZSA6fXiZk1bbIAuGebWjnp3qHPIuZ3KpXC/Pw8pqenMTExgXQ6jYaGBnR0dKCzsxN9fX3o7e1lFj09+yRgk0qluNVxqyQwMRgXSwFEAmxqakJHRwe3wNHxUVYqPR8ii5zgfrrfyMmLe4d4zbfDihavlRR+Js7E4uIibt68idnZWeaDiHwdIkDSPAeapOZ2uzmzJREg8XyJe6F4bjdrUidKjlb8mXhN6+rqoFQqqyaPxeNx/jn1qdM+JXItKMgVP1ussW/F9tSBGwwGfOITn0B7ezuMRiMmJye5r09KjimVSvB4PHC73XxRe3p68Nhjj+H9738/Ghsb93yzUygUsNlsd3VMiUQCFy5cwOjoKKampgDcUp4bGRnBU089hf7+figUCni93qpjLBQKSKVSNQVsdmJ04zY1NWFgYGDXnRc90NTOsRcBVT6fh8fjwdjYGM6fP49KpXLbhkPtVhSh53I5hhr9fj98Ph98Ph9MJtOhcuDxeJzXSnAmEakOm4kbIQVvJGdJdcnGxkaWRqZ2npWVFSY8UqZSLpeRTqdRKpV4NK9cLmf4nTgLRPwS0aTtrlsUZRHPN7G3Ce6nzyKkoFQqIZPJwOfzYWlpCR6PB6VSCY2NjXA6nXA6nWhtbYXT6YRKpUIqlWI2NNWsiQy7XXIVrYk2e9r4SWKUnLc4gYt0wTdCMWj/oXMuddLil5hp0jXcTGlD+tni5wO3yqmhUAg+nw+RSATlcpmDWCLl0bxyCj7i8TjK5TJCoRBMJhMSiQSam5vZAUoDJSnsvdlrIN53Yp+2+DMRzSBlSJlMxq141I2gVCr5mRD1AEReCa1vu/c62b5A6P39/WhtbcUDDzyASCSC8fFxFgo5evQoFAoFvvGNb/BYOYJgFhcX0dHRgUAgwKy+gzYiLDz//PMIhUIA1jP3np4efPnLX4bL5UJ7eztHZ/ttw8PD+NznPrcndeC6ujo8+OCDOHnyJJqbm/fM+ZhMJnR0dPBMbwAs8ENqTcViEe+88w5efvllLCwsIJVKcQZ12LTRV1ZW8MYbb8Dv9zOKQSpNh+GelpqUGERZHjmVtbV1Cc+uri7YbDa4XC60tLRwbZPKSEQ0ohKT3+/nUZ0EP1osFhb6oPtJDPC3smZp5ijWjmkokdlshtFoZJ0GypjkcjlCoRACgQCuXLmCubk5+Hw+DAwMoLm5GQ8++CBaW1vR1tbGrUEEPdMcblE2VszgNosi0Cafz+e5bZLY+hqNhgWX9Ho9FAoFC2HRMBBipBM/gbJZsVeaCHKUGVJgTCUNkr+l67/VMkCta0IQeS6X4yTJYrGwxgOVUmiMaF1dHbxeL+bn5zE2NoZUKlWV5YrjOOk6i9mrCHNv9rxLTSpIIyZhdG5KpRISiQQ8Hg+i0SgKhQL6+vrQ3t7Og2HK5fJtfC4qPW10vu60LqntiwMn2KyhoQE2m40lPpuamjA0NIT6+nqMj4/D4/Fgenqao9hCoYB4PI7Z2VlmI+6l2AVpUm+0qVItxuPxIBQKMRGHlNak/aWUUdaCgndi9N40HlF0VgTf7JVpNBqOLnebfNXY2AiLxYKBgQEUCgU0Nzfzzd/W1sYCHEqlEuVyGV6vF01NTVwnFzOSvSa5bNYo85ienuaa45EjRzA4OAiVSnXg4i2iidmWqDIlMnJFWJegT4I6SU2OVLaIcVypVFgikzbyVCqFRCLBfdTUBULr2A6MDtyuIEf1bxr4Qdm22ApEWTppjhNpTap2RgI0dAxE0KXyAjnDrT4X4vHR+S0WizzPm5TIKIkRj0F0VmLmLr4fnUspZC5mgjRNS5SV3aqJ10zsaBARJ+I2UaZN6pAKhYL19OnYA4FAFTIjPcbdyGBrmVg2lJZkRCdL/Cly3sQbstvtUKvVzC+oJd6y0edutWyxL7sHLcxgMMBgMKClpaVqgcViEW1tbTh37hy+9a1vYWZmBuFwGACwvLyMv/u7v+Noba9abhobG9HS0oKPfOQjG26q5XIZL7/8Mi5dusSC/CqVCj/1Uz+FkydPoq2tjTe6XC6HUCiEF198cddGfJIVCgUsLS3h3XffxfPPP1+l4f6TbHq9Hu973/swPDyMXC4Hg8FQdS2kG/nc3BxcLhdmZmZ2PUjaDatU1gUy5ufn8YMf/AAAoNPp8Bu/8RsYGhraEwb/dq3W5gusB7V1dXXQ6XQ84jGVSvGmT9mtTqfjrJocODlnl8sFv9+P5uZmjI+Pw+/3I5vNYmVlBW63G1arFXq9njdr0blKh4fcyaQbIGXDCoUCKpWKN1VgvVxDtUgK+KjddXl5GXK5HK2trTh58iS6u7tx/PhxdhgejwfhcJiRxFQqBYvFwpOnxJY7cW21jkOEngnyJ+nplZUVpFIp5PN5ruHTYBKC7WUyWdXQj2KxyAgIZdnUvkvnQS6XI5PJAAAHOPQ7yuSlMPpmjRysSJxTKBTQ6/Xo7u5Ga2sra7qLAU9dXR3MZjMAsLCWOKKzsbGxCo4npUb6PAA7DoalWuX0M4LMRWe+urrKUzYXFhaQy+WgUqlYY58GshDqIOoGkIkB1EZDfe527nd0xGJ0SAe5WRMPpLGxEa2trXj44YfR1NSE//7f/zs78GQyifHxcUxPT6O9vR3Dw8N7svGtra0hEongypUr6O7urjl9bHV1FVevXsWNGzewurrKkfmjjz6KwcFB1NXVsejD+fPnsbCwgOvXryMSiQAALBYLWlpa0Nraiqampm2vtVKpMFwci8WYQbpXRpvhfmWLIpmlVvZVLpcRjUb5/EoHmRwWK5fLmJycZF4HPfyEPh02o2xNbBGjTZ3Yv0qlEqlUivkcABiaJaIUsbkp+3A4HKivr+egNpvNshOnOeiU3e60LCNueKKDoL7wZDLJ2Sy1VVErWCwW4xq+0WjkbEqv1/Mc80QigampKQQCAZb+bGhogNlshtPphNForIngbZbQtra2xuij2KZH10c8r6RWSdA9lTYosCLSpHg+6EvsuwdQ5UhpLZuFoTdyOOSY6L2pjY/WCYAdsUgsJGU26uGn8oRSqWTUSgqZS0l3Wy2/0PdaMLY4TY+GRFFwHo/HWZuC2vMoyZT+LRFuxWxezOq3EzBte0euVG6NThOhs+1YXV0dj/YbGRnB97//fbz77rsA1mGKxcVFuN1u+Hw+9Pf3b3fJNU2MqGKxGK5du8ZwvZQEsrq6ipmZGczPzwNYJ4z19vbi6NGjcLlcKBaL8Hq9uHr1Kv7xH/8RCwsL8Hg8fEHMZjPa2trQ3NwMg8Gw7TXTzUC1MtF5i6pSOzUp6WKvYWm64Smr2Ag6JcIaCVEQ10CEALcCu+6VlctlzM/Pw+/3V62HMtbDYlKmbaFQYFEPlUrF6l3U/kVkPJqfXSgU2NEUCgUmiZGjoWcplUrBaDRiZWWFX0tOlTgMRKTaim10rckxAGAHnkgkOJslYhi1atHkK2AdKbHb7TAajVCpVEgmk0zAIk2CxcVFromazWZ29qJW/FbWL7L3xS/RgYu92pTZNTQ08Lx1gqaVSiVyuVwVQ1uEtYn4SVm66AS34rzJ6LVSSFvcQ8lp0zUWyZG0B+fzeUQiEZappXuNjokcuJSstlXo+U7XQXxvOh5xSBRdJ5r9nUwmub9er9czsVFKMpTKQ9P7iJn/Vp34tjxuJpOB1+vFt7/9bbz99ts4cuQIhoaG8PnPf35HjiMUCmFiYoKzb2AdwmtqakJnZyc6Ozt3XeDl+PHjWFtbw+XLlzE5OYk//dM/xdjYGI4cOcLDCh588EHE43EEg0HWJQbW2eiLi4t48cUX0dDQgLfffrtK2pTqf2Rf+MIX8Pjjj6O1tXVHx9HQ0ACDwYDOzk4cO3YMMzMzDIl5vV68+eabOH78+I6yvNXVVVy6dAnXrl2rGZnuttE0tzfffBNmsxkWiwVHjx69LZshHsIf/MEfYHp6uork8+ijj+KDH/wgnnzyyUPhIClKpz7Qw2riplQsFpFMJrG4uMiDYvR6PTKZDCwWC5qamjiDUqvVUCgUUCgU7CzELI82P2LjxuPxqmle9DuaWEXOh2Bzaf37budQbMehSXYGgwGlUgk+nw9vvfUWQ/YdHR3M6vb7/Sy2FAwGObjIZDKYmppCQ0MDfD4fVlZWEAqF4Pf72bGYTCb09PTg6NGj6OjoYHKWeF43ew3oO2WbJDtLjiIYDGJ+fh4ymYyJbMCtPnAqBdBkLAqwxMElxF9YXl6G3+/nca9izz5ljZt53qWOjpwRISmrq6vweDxIpVIIBAJ8jTs7O/n+IVtaWsLKygouX76MxcVF+Hw+rK2tT33r7u5GZ2cn2tramLkuTk2TZt+ic9/s+ae/ofMoBiOVSoWhfEILSHo2n8+z46b7nkoZVLKg9xWDylqtauI53Yxty4GTspTP58Pk5CRng8PDwxyJkGAAtf3cybGvra2xLOjFixe5l5QysebmZp4lvNv1b6PRCKvVirq6OhabGB8fR6FQYFisvr4e8XgcKysrSKfT7MBJEnB0dBSVSgVXr17lAQQEXYkjB4eGhtDV1VWzRrYVq6ur48H3bW1tWFpaYrnEaDSKmzdvore3d8sOnGqYpOk7OjqK2dlZ/sy9MEITaCDL5cuXWau5p6eHHTgxfn0+H6amplg8g6B9rVaLkydPoq+vDyaT6VBk4FSWIbYwSaceVqlX2kyo9SsSiSCdTrMCGW1YlPXp9XqGSCkrFPt/qZadyWRYmjSVSjHhp7GxkfWiiQlO2ZWYLdL73Wnd0n/Te2u1WmZnBwIBAOtluXK5zIFJKBTCysoKkskkozmkDEkKiyRCE4vFeIiOTqeDxWJBa2srHA4HLBYLQ/Ob2YTFe1QMkhsbG6FQKJhdTpB6JpPhrJT2Wenf0zkg503XirS6ydkHg0GeTUHnXZTC3QqDXnR0lGFS2YKG3qysrGB2dhZarRY6nY7HgVK5hcSYKAGKxWIoFAqMANH5lWonSAO87ZDapPeYlMRJJgamdH8Ql4LuN9onxeEn0kBOSr6jLHw7Qf6Oipp0o7z77rs4e/Ys/vf//t/cRvXII4+gs7MTTzzxBPR6/R0zonw+jzfeeANvvPEG/uf//J9VY/1sNhueeOIJDA8Po6WlZSfLrWk0P5qipGKxiLfeegtnz57lm1HsG6UWBgAIBoM8KhWoZnwC67Xcnp4efPzjH8ev/uqvsgbxTp1LY2Mj7HY7jh49ikwmg/HxcR5hR+ITp06dQltb25bel/gGV65cwcTEBN58801EIpHb2jR202ja2Ze+9CVMTEzA7Xajvr4eOp0O73//+5mLQO1hf/mXf4nR0VHMz8/zfUIKVb/1W7/FcO1hsFKphAsXLmBqagoymQy9vb0c5B5WozpkIpGAz+fD3NwcAGBhYQEWi4WhYoPBgK6uLnYylF1QwFWpVLhPf2ZmBm63G9euXUMgEEA6nebBIqRN3traygIx0jYyMZvaaJMTMy9inTc3N6NcLsNsNiMUCsHtdmNpaYmDD61WC7PZzKxvGlQil8uRSqVQLpe5y4OeL5lMBqPRCJ1Ox2sfGhpCR0cHDAYDC4xsthNCdLy011DLmMPhgMlkYk5CNBqFz+erykLpuaR506JYCAVGdXV1SCQScLvdiEQiSCQSmJ2d5dGiDocDBoOBa9TivSDWlmud81rqZXQcpPZ25coVLCws4L333kN7ezva2towMDAAo9EIpVLJY06vX78Oj8eDGzdusPpcT08P2tra8MADD3D7mVhWEMsDUge+1T1L/Hsx+JHJZFXwNw3JoW4kYL31taWlhevj1G8v7RgQOQhi6ZM+WyxhbMa25cBpEDspE125coUh3FAoxHAOjX0kIoy4WMpKvV4vIpEIbty4gZmZGX54CSZyOp04ceJETVLZbpjdbsfq6ioee+wxLC0twev1IhqN8vEAt+rKtU4q1TnICLZzOp2wWq14+OGHcezYMZhMpjvWdbdjRBIRLZPJIBgM4urVq2hoaMDx48fvmvFVKhVudXrhhRcwPz/P14Uye4vFAofDgf7+frhcrl1z6JFIBF6vF16vFysrK1zvooCKppHNzMzg5s2bGBsbw8LCAk9MUigU+PCHP4zjx49XRcAHbcRopjbCxsZGdHR04MiRI4duRjlw614S4VvScs7n85w9e71eZo1Ho1FmCtMGR6x1qo3n83nMz88zMYmgxaamJthsNrS2tlaJ7hDSIm1DAu6ehZPDEfcPm82Grq4uRgSJGEbjKklpjTZOelbIgdDnU7sTBR4UwDQ3N6OlpYUdqqiitp2MiuB/tVoNvV4PjUbDDoNGHxOngtjj1B5H14HIaYSmUf1+amoKKysriMfj3JOvVqvR1NTE2t2EWEih6TuZNFOnNSQSCUQiEZ5pTuglObRCoYBIJAKfz8ciXn6/n4fPWK1WdHZ2oqOjA3a7HSqVirkXxK+gNdI+vFnUQLp+8fyLf0/3oQh304Q6KqlqNBout2o0mpoCLrVQIrFVTfzdnkPoCoUCDocD3d3dGBwcxNTUFKsPUW/n4uIi5HI53n777dsY6pVKBZ2dnTh69CjPgE0mk/zAALfqvC0tLTh58uSeOnCtVosnn3wSMzMzuHjxYpU8odimsJHRjVRXV8ciJCdPnkRXVxeefvppGAyGPVMFk9amqT/8woULKJfL6O/v501VaiLrOBgM4ubNm3jhhRcQi8WQTqf5dXV1dXA4HBgZGcHQ0BA6Ozt3LRBZWVnBwsICQqEQM4DlcjnXk2ik4+TkJM6ePYubN2/yUBN63U/91E/hwQcf3LcBOJux6elpXLp0CR6PB5lMBnK5HB0dHRgeHj6UDhy4NRpRpVIxMkV9z9FotErxTq1WIxwO830g6qJTBkxDS5aWlpDL5ZDNZrkGajabYbPZ0NLSApPJBJVKxUN5qPwkBqh3u99E1TL6G8roe3p6ONujDNTtdjNhioREqP5OzqVYLDLCQJOwRLZ5d3c3TCYTrFZrVXua2Aa3mYBSWrMVHThB5TRghdQGgfX7X6fTwWAwVLVcAahSfKRphVNTUwiHw0zmA8CluJaWFp5sRnv1doJhylaJCBmJRBAOh7lXmuBiek06ncby8jLm5+cZIcjlchx8dXZ2oquriycqUueTiA5s1endae30nf4tOt/V1VVGagKBAPOcaK2kUCmXy6t03KUmMtBr/XwrtiMI/eGHH0Zvby/uu+8+zM/P4+WXX4bf72dYgZiftRaVTqcxPz/P7FOR7azT6aDX6/H444/jfe97H1pbW/dUclKlUuFnfuZnkMlk8Oyzz2Jy8v9v71p62jjb6GHsALYpHnzB17i4CQYcV3LaNKlaeltUXbRdd9NlF+1vqFSpv6VS/wJqd1U2kRpVkRpxUVVEg0njIGxIoOBSzLeIzpPHb8aAwSZG33ukyAEz45nxzPvcznmeRayuruLevXtYWVnBnTt3PLcLh8NwXRflchmZTAazs7NCwAqHwwgEAohGoz2reXJW7sTEBA4Ons0lZ61rbm4Ot2/fxo8//ogbN27g888/RywWE+nJysoKfvnlFywtLaFarYq3/ujRo5ZmEJFIBG+++SY+++wzfPLJJzL3uFtYWlrC7du3WzIemUwG09PTWFpawu+//44ffvgBa2trog8lZmZm8OGHH+KNN95ALpfrm+gbeJ5ZaDabCAaDkkl69913+y6FzueTNVCfz4dCoYBoNIqxsTHporaxsYF6vS7RK+Vxul5KGdPw8HBLpzIAYpCCwSCuXr2KXC6HVColmmUqKhila93tSaBVDHt7e1JjLZVK2NvbQ6lUElLh/Pw8arUaKpUKGo1GCxv70qVLQhKbmJiA67p49dVXMTIygtHRUTkP13VlXaJxMoeBHHe8fNUG3O/3y/4zmYxojnd3d/Hnn39ie3tbSKzxeBzZbBbxeFwi1M3NTTx8+BCPHj3C1tYWtre38fTpUyHfNRoN0ZQXCgUUCgXk83mMj4/LoBB9fCe5f/h9saa9u7uL9fV1rK2tybTHdDqN8fFxhMNhaVVLdVGlUkGtVsPh4aHM/Z6ZmcHk5KRkScm1Alr7tpv1Zb5/Epjb8n7jvUS7xDXPcZ71uyc/xO/3I5lMIpvNShkIgPA8ALzAK9ARuMk894rUj8KZDHg0GhWGYyQSwd9//y2pKrZeZOtEAC15f3poGuyJHIlEEI/HMTMzg3w+3/OGF47jIJFISDQaDAaRSqXgOA5c120xLhpjY2MYGxvD9evXkcvlcOvWLXnA22mYuwk6CNPT07h06ZI8rIeHh1KfX15eRrPZlIc8FAphYGAAy8vLuHv3LhYWFoTtyWvBV6aGyuUySqUSJicnu34OOzs7qNfrL9y4BwcHWFpawtbWFn777TdhLwPPIo9EIiHs31gs1ldNUQBI9KnZqyTk9JOjocGFZGhoSLoe7u/vy0jaUCiEQCAgrWr1BCstt2H9l1m5g4MDDA4OStOX0dFRYbQHAoEXJmedJaJi1PPff/+JrJB1ZDrcnMdQq9UwPDyMnZ2dFsPACDgYDCKfz8N1XWSzWSkF0sjREdOZOi3b6vS4dQSorxe1xexsV6/Xsbu7K5I+SprIRdja2sLq6ioeP36MJ0+eSLRLwhXr+PF4HLlcTghijB47kWR51XdpjDQbnsqFgYEB6W3eaDRk2ht7ZbDVajKZFLltIBBoSUVr2dVR6OQ7YGaA22kSJs+Tz7JuLUyHiyoKs/Rg6tPN63oUv+AkOJMBZ62Ss6c//fRT3L9/H4uLi1JH/fnnn+WhrtfrbdPRHDYQDocxOzuLUqmEr776Cq7rnuUQOwK9b/bcfuedd16ocXttwxvqPIy2BgmDH3zwAf744w98/fXXePDgASqVSkvUf+/ePdy/f19+1h2MzBoM/+/3+3Hz5k3cvHkT3377bc/S0zRuGpwoNjc3BwAtxEHgWdnju+++Q6lUkl76/Qge897entTMqtUqEolEX7VQ1WC5KxaLIRaLIZ1Oi0aaC+3KykpLHZWqBd3jmR3FaLxfeeUVpFIpZLNZRKNRvP766zJ10HQCtBSt02PnAsvF3u/3S1TUbDYRjUbRbDYla6XrplyA9eLNmiaJrCZ7mM6CzkLoSO4k0NE3HYhQKATHcTA5OQnXdaXBSbVaxdbWloyopZOuj4GpaWYDXNeF4ziiow6FQiiXy0gmk7h27Rpc15VOeDyvdmnedted50xjptn4ZNHv7++jWq3i33//xcLCAv755x88ePBArv2VK1cwPj6OcrmMbDaLK1euSHmA58L96ohVR7TEadZh08BqPgXlY9w3yyxUZFHqx+6RujGOroVrR0AfZ6eRN9GVVUQz9rLZLPx+P1KpFDY3N3H58mWRE8zPz0vtZXd3V2RbjUYD09PTmJiYkNaF6XRaCBXnDV7cfpX7EHQeSAp66623MDAwgLW1NXkfgOgS6Yi0Y5YGAgHEYjEZ+vDRRx9hamqqK8z5dmCdSzsIJkMTeO4svv322ygUCiiVSkin09LMoh/hJXHpRq2u29CLNY0S7xE6pSMjIyKXYeOQXC4npZdarSasc2YfOEQjHo8jFothYmJCmNXs7Kb14npR0wvgSe49TQjiNdbnwvPUDWbM55tOlSaiedVZTWITj9nrOE/63JgpdLLHY7EYfD4f1tfXRZKn5WDagWD2REvHuF/KnFgWoWZ9bGxM+qubBvu4e9U8Nx3sMCAjqZd9AEiKZYQ+PDyMUCiEUCgk90c+nxfJmDaA+jO18e7GM+W1hujvVKfwdbMp3ke8r8ze55qlb16rdnXwTtD1MCCZTL4w55oP9NzcnGgxNzY2UKlURGpw69YtzM7O4ssvv+z2If1fgES8J0+e4M6dO6cyuGyYcOPGDRSLRbz//vuIRCI9zSqk02kUi8Ujo2id1v3iiy9QLpdx7dq1FhlNv0FHYfq1X8HFhtGzaUCZNh4dHUUqlZLtmJp9+PAhnj59KhHixsaGpD4LhQLS6TSmpqYQiURkwTZrgDpi6fSaacIb8NzIkvXM3zHtrxvIaCOgHS39f5NlfZxc6TSGm5/DNsJM0QeDQSH51ut1mX3A49jf35cswfDwcEsnPBICBwcHpYFNKpXC5OSkpOe1vpnH1KkhMcsIzHxQekgy6vb2tvATWKKMRCIyxIjHxnKFzszoWjHwomy3k+uu/97chy4JEJQaMqvkOI6Qg/VoU/OaeKXNj7qGnWLgmI26Ei7wy11fX5cbikadvbzpmevFweLkODg4QK1WE+LX/Pw8KpUKfvrpJ0k/tYvAHceRWvc333yDTCYjrFtGXL0Cp/l8//33mJ+fx6+//grg2YPF0Xwff/wxEokExsfHUSwWRbPar8YbeNYRr16v4/Hjx1K3e+2115BIJLouJ1Q48U4XFhY8n20ddegoQi9OdJx8Pp/0RGdkwpQpWeeHh4dIJpNCmjKjJqYjTcPJ984Cr/OgMWDE6TiOsOt1BsCUJJnvaZjp0NMep8566AY5jUZD5GOrq6v466+/xEnS07Cazaaky1nT9fl8yOfziEajQlSLRqNIJpMyBQxodVzaRY0nPQ9mBcg+v3v3LqrVKhYXF8XAZ7NZuK4rxxaNRpHNZqXZkXZANK/gqNJEt58pff5aWre5uSndSIFnmUu23R0aGpJngDCbuZgOodfnmZiZmfE8uXObRsahBha9gc/nEzkL5SDxeBzLy8sydKLdwug4DjKZDIrFIq5fv45wOHxuc6pZJimVSnAcR1jmjuOgWCzi6tWreO+995BIJIRp28+Gm8hkMj1pPNRrmNGX7sPNBVSz1bngc5EKBALCPieJjxO0KK+hXAx4sRtZN2ASiXQ0DbTWbM3UuM4CmPVubnvUZ54GZpSmSwGcLBYOhyUlTiZ0KBTC5uamkNkODw9lkAbrtkNDQ7h8+TKi0ahIxcii14bFdKxOEw2aJYahoSGMjIwgkUhIAxRG1BzPOjU1Bdd15Z+W8tHY6zIIHT6Nbq8H5nnwMxhtswzBsc3kF7APgOn8aeej2yW0c4nALc4PXHj4oJgEsHbgzUmZ2XmDERy7qwEQXSun3V0Ew/2SceYInDAXMRoTTTpkhNRoNMSgj4yMSFqXmmj9/ZGRzEX5LKMr28HkHnilwplu16x3ZhZ0ClrLwoDeGHBzH7rsoolpzBSYtVk9EGRwcFCGgpBkReIXp70x3a4dHJ39OO13YPIA+F2ztfTOzo6UB9gzXjdnaVfn5jXRr17XrZvwuv/1vdPuXqXDq58XLSPja6e175cagVucH3SEBKDvNMft0G8ysP93mAuUjiIIvq8jcv33JknMa3/t3j8L2u2n3eeZkVIn6KXx0M6Fro9rfkKz2ZR6Mp0rkg2pr+c2utGLGW13iwzm5SQFAgGRWdF5oHyQxDfNK9Bs76O+k14GGidxJr0cRf2edkS8nBK97WlhDbiFhYUndL3RJJkBzyc06TGueltGKubvzX32OuPj5Ux4/Q1hRn5myrZXx6sXcm1UmbHwIlvxGGnU+TNr/Iy0TYNCJvVZUuYnOQ9mBdjcx3Q+KC9j5s2L9NkPBFDz870cWfPe9jLa5nd8VlgDbmFh0RbmQqXHTDKyMFneXu/RWJgp0PNemM2au/mzTifzd+ctJzUjOfOaeWmITWNB4232ePAyPL3MfPD6mfwDnb3Rzp4+v5dtuI8izJ3EEPN76GbEbcIacAsLixOh3YLfLpLzMpAvA0d97nFs4F6l+TvBcU6ENt58PS79fJ7n0e74tZN3VBMWL6fjvNDp9Tvv++U4EpuFhYWFhYVFH8LSei0sLCwsLC4grAG3sLCwsLC4gLAG3MLCwsLC4gLCGnALCwsLC4sLCGvALSwsLCwsLiCsAbewsLCwsLiA+B+J1uvrFcQw4QAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(7, 4))\n", "plt.subplot(121)\n", "plot_digits(X_train[::2100])\n", "plt.subplot(122)\n", "plot_digits(X_recovered_inc_pca[::2100])\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [], "source": [ "X_reduced_inc_pca = X_reduced" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's compare the results of transforming MNIST using regular PCA and incremental PCA. First, the means are equal: " ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.allclose(pca.mean_, inc_pca.mean_)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "But the results are not exactly identical. Incremental PCA gives a very good approximate solution, but it's not perfect:" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "False" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.allclose(X_reduced_pca, X_reduced_inc_pca)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Using `memmap()`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's create the `memmap()` structure and copy the MNIST data into it. This would typically be done by a first program:" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [], "source": [ "filename = \"my_mnist.data\"\n", "m, n = X_train.shape\n", "\n", "X_mm = np.memmap(filename, dtype='float32', mode='write', shape=(m, n))\n", "X_mm[:] = X_train" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now deleting the `memmap()` object will trigger its Python finalizer, which ensures that the data is saved to disk." ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [], "source": [ "del X_mm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, another program would load the data and use it for training:" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "IncrementalPCA(batch_size=525, n_components=154)" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_mm = np.memmap(filename, dtype=\"float32\", mode=\"readonly\", shape=(m, n))\n", "\n", "batch_size = m // n_batches\n", "inc_pca = IncrementalPCA(n_components=154, batch_size=batch_size)\n", "inc_pca.fit(X_mm)" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [], "source": [ "rnd_pca = PCA(n_components=154, svd_solver=\"randomized\", random_state=42)\n", "X_reduced = rnd_pca.fit_transform(X_train)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Time complexity" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's time regular PCA against Incremental PCA and Randomized PCA, for various number of principal components:" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "n_components = 2\n", " PCA: 3.5 seconds\n", " Inc PCA: 9.5 seconds\n", " Rnd PCA: 1.0 seconds\n", "n_components = 10\n", " PCA: 3.3 seconds\n", " Inc PCA: 9.7 seconds\n", " Rnd PCA: 1.5 seconds\n", "n_components = 154\n", " PCA: 3.3 seconds\n", " Inc PCA: 15.6 seconds\n", " Rnd PCA: 3.2 seconds\n" ] } ], "source": [ "import time\n", "\n", "for n_components in (2, 10, 154):\n", " print(\"n_components =\", n_components)\n", " regular_pca = PCA(n_components=n_components, svd_solver=\"full\")\n", " inc_pca = IncrementalPCA(n_components=n_components, batch_size=500)\n", " rnd_pca = PCA(n_components=n_components, random_state=42, svd_solver=\"randomized\")\n", "\n", " for name, pca in ((\"PCA\", regular_pca), (\"Inc PCA\", inc_pca), (\"Rnd PCA\", rnd_pca)):\n", " t1 = time.time()\n", " pca.fit(X_train)\n", " t2 = time.time()\n", " print(\" {}: {:.1f} seconds\".format(name, t2 - t1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's compare PCA and Randomized PCA for datasets of different sizes (number of instances):" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'PCA and Randomized PCA time complexity ')" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "times_rpca = []\n", "times_pca = []\n", "sizes = [1000, 10000, 20000, 30000, 40000, 50000, 70000, 100000, 200000, 500000]\n", "for n_samples in sizes:\n", " X = np.random.randn(n_samples, 5)\n", " pca = PCA(n_components=2, svd_solver=\"randomized\", random_state=42)\n", " t1 = time.time()\n", " pca.fit(X)\n", " t2 = time.time()\n", " times_rpca.append(t2 - t1)\n", " pca = PCA(n_components=2, svd_solver=\"full\")\n", " t1 = time.time()\n", " pca.fit(X)\n", " t2 = time.time()\n", " times_pca.append(t2 - t1)\n", "\n", "plt.plot(sizes, times_rpca, \"b-o\", label=\"RPCA\")\n", "plt.plot(sizes, times_pca, \"r-s\", label=\"PCA\")\n", "plt.xlabel(\"n_samples\")\n", "plt.ylabel(\"Training time\")\n", "plt.legend(loc=\"upper left\")\n", "plt.title(\"PCA and Randomized PCA time complexity \")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And now let's compare their performance on datasets of 2,000 instances with various numbers of features:" ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'PCA and Randomized PCA time complexity ')" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "times_rpca = []\n", "times_pca = []\n", "sizes = [1000, 2000, 3000, 4000, 5000, 6000]\n", "for n_features in sizes:\n", " X = np.random.randn(2000, n_features)\n", " pca = PCA(n_components=2, random_state=42, svd_solver=\"randomized\")\n", " t1 = time.time()\n", " pca.fit(X)\n", " t2 = time.time()\n", " times_rpca.append(t2 - t1)\n", " pca = PCA(n_components=2, svd_solver=\"full\")\n", " t1 = time.time()\n", " pca.fit(X)\n", " t2 = time.time()\n", " times_pca.append(t2 - t1)\n", "\n", "plt.plot(sizes, times_rpca, \"b-o\", label=\"RPCA\")\n", "plt.plot(sizes, times_pca, \"r-s\", label=\"PCA\")\n", "plt.xlabel(\"n_features\")\n", "plt.ylabel(\"Training time\")\n", "plt.legend(loc=\"upper left\")\n", "plt.title(\"PCA and Randomized PCA time complexity \")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Kernel PCA" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [], "source": [ "X, t = make_swiss_roll(n_samples=1000, noise=0.2, random_state=42)" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [], "source": [ "from sklearn.decomposition import KernelPCA\n", "\n", "rbf_pca = KernelPCA(n_components = 2, kernel=\"rbf\", gamma=0.04)\n", "X_reduced = rbf_pca.fit_transform(X)" ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Saving figure kernel_pca_plot\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from sklearn.decomposition import KernelPCA\n", "\n", "lin_pca = KernelPCA(n_components = 2, kernel=\"linear\", fit_inverse_transform=True)\n", "rbf_pca = KernelPCA(n_components = 2, kernel=\"rbf\", gamma=0.0433, fit_inverse_transform=True)\n", "sig_pca = KernelPCA(n_components = 2, kernel=\"sigmoid\", gamma=0.001, coef0=1, fit_inverse_transform=True)\n", "\n", "y = t > 6.9\n", "\n", "plt.figure(figsize=(11, 4))\n", "for subplot, pca, title in ((131, lin_pca, \"Linear kernel\"), (132, rbf_pca, \"RBF kernel, $\\gamma=0.04$\"), (133, sig_pca, \"Sigmoid kernel, $\\gamma=10^{-3}, r=1$\")):\n", " X_reduced = pca.fit_transform(X)\n", " if subplot == 132:\n", " X_reduced_rbf = X_reduced\n", " \n", " plt.subplot(subplot)\n", " #plt.plot(X_reduced[y, 0], X_reduced[y, 1], \"gs\")\n", " #plt.plot(X_reduced[~y, 0], X_reduced[~y, 1], \"y^\")\n", " plt.title(title, fontsize=14)\n", " plt.scatter(X_reduced[:, 0], X_reduced[:, 1], c=t, cmap=plt.cm.hot)\n", " plt.xlabel(\"$z_1$\", fontsize=18)\n", " if subplot == 131:\n", " plt.ylabel(\"$z_2$\", fontsize=18, rotation=0)\n", " plt.grid(True)\n", "\n", "save_fig(\"kernel_pca_plot\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Saving figure preimage_plot\n" ] }, { "data": { "image/png": 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