{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "

\n", " Frank-Wolfe for Minimum Enclosing Balls\n", "

\n", "\n", "Accompanying notebook for two lecture notes on Machine Learning:\n", "\n", " * Christian Bauckhage and Tiansi Dong: \"Minimum Enclosing Balls\", B-IT, University of Bonn, February 2019 ([Download from ResearchGate](https://www.researchgate.net/publication/331152293_Lecture_Notes_on_Machine_Learning_Minimum_Enclosing_Balls))\n", " * Abstract of the paper: *The minimum enclosing ball problem is another example of a problem that can be cast as a constrained convex optimization problem. It thus provides us with another opportunity to work with the Karush-Kuhn-Tucker (KKT) conditions and to derive a Lagrangian dual which, as we shall see later, allows for a simple solution for the problem.* \n", "\n", " * Christian Bauckhage and Tiansi Dong: \"Frank-Wolfe for Minimum Enclosing Balls\", B-IT, University of Bonn, February 2019 ([Download from ResearchGate](https://www.researchgate.net/publication/331315423_Lecture_Notes_on_Machine_Learning_Frank-Wolfe_for_Minimum_Enclosing_Balls))\n", " * Abstract of the paper: *In this note, we show how the Frank-Wolfe algorithm applies to the problem of computing the minimum enclosing ball of a set of data.*\n", "\n", "

" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import numpy.random as rnd\n", "\n", "import matplotlib.pyplot as plt\n", "from matplotlib.patches import Circle\n", "from mpl_toolkits.mplot3d import Axes3D\n", "\n", "from functools import partial" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plotting utilities" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "blu = '#0059ff' # hsv(219., 1., 1. ); // blue \n", "ora = '#ffa500' # hsv( 39., 1., 1. ); // orange\n", "\n", "alpha_now = 1.0\n", "alpha_old = 0.2\n", "\n", "def plot_points(axs, X):\n", " axs.plot(X[0,:], X[1,:], 'o', color='k', mew=0, ms=7, alpha=0.5)\n", " \n", "def plot_circle(axs, c, r, alpha=alpha_now):\n", " axs.plot(c[0], c[1], 'o', color=blu, mew=0, ms=7, alpha=alpha)\n", " axs.add_patch(Circle(c, r, fc='none', ec=blu, alpha=alpha))\n", " \n", "def plot_reference_point(axs, p, alpha=alpha_now):\n", " axs.plot(p[0], p[1], 'o', color=ora, mew=0, ms=7, alpha=alpha)\n", "\n", "def stretch_range(a, b, s):\n", " c = (a + b) / 2\n", " d = (b - a) / 2 * s\n", " return c - d, c + d\n", " \n", "def find_limits(X):\n", " xmin, xmax = stretch_range(X[0, :].min(), X[0, :].max(), 1.25)\n", " ymin, ymax = stretch_range(X[1, :].min(), X[1, :].max(), 1.25)\n", " return [xmin, xmax, ymin, ymax]\n", "\n", "def init_plots(n, lims=None):\n", " f, [axs] = plt.subplots(1, n, figsize = (18, min(6, 18/n)), squeeze=False)\n", " for a in axs:\n", " if lims: a.set_xlim(lims[0], lims[1])\n", " if lims: a.set_ylim(lims[2], lims[3])\n", " a.set_aspect(aspect='equal', adjustable='box')\n", " a.set_axis_off()\n", " return axs[0] if len(axs) == 1 else axs\n", "\n", "def done_plots():\n", " plt.show()\n", " plt.close()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "m = 30\n", "Simplex = np.array([[x/m, y/m, 1-x/m-y/m] for x in range(m+1) for y in range(m-x+1)])\n", "Floor = np.zeros(len(Simplex))\n", "\n", "def values_over_simplex(f):\n", " return np.array([f(s) for s in Simplex])\n", "\n", "def plot_flat_simplex(axs):\n", " axs.plot_trisurf(Simplex[:, 0], Simplex[:, 1], Floor, color=ora, alpha=0.2)\n", "\n", "def plot_over_simplex(axs, Z):\n", " axs.plot_trisurf(Simplex[:, 0], Simplex[:, 1], Z, color=blu, alpha=0.5)\n", "\n", "def plot_point_over_simplex(axs, p):\n", " axs.scatter([p[0], p[0]], [p[1], p[1]], [0, p[2]], color=[ora, blu], alpha=1.0)\n", "\n", "def plot_flat_trace(a, xys):\n", " a.plot(xys[:, 0], xys[:, 1], np.zeros(len(xys)), color=ora)\n", " a.scatter(xys[:, 0], xys[:, 1], np.zeros(len(xys)), color=ora)\n", " \n", "def init_plots_3D(n, azim=-60, elev=30):\n", " f = plt.figure(figsize=(18, min(4, 12/n)))\n", " axs = [f.add_subplot(1, n, i+1, projection='3d') for i in range(n)]\n", " for a in axs: a.view_init(elev=elev, azim=azim)\n", " return axs[0] if len(axs) == 1 else axs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Lagrangian Dual of the Minimum Enclosing Ball Problem" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For efficiency we calculate two constants upfront:\n", "\n", "$ X^T X$ and $\\mathbf{z} = (\\mathbf{x}_j^T \\mathbf{x}_j)_{j=1,\\ldots, n}$" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "def init_ingredients(X):\n", " XtX = X.T.dot(X)\n", " return XtX, np.diag(XtX)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Lagrangian Dual of the Minimum Enclosing Ball Problem and its negative gradient:\n", "\n", "$\\mathcal{D}(\\mu) = \\mu^T \\mathbf{z} - \\mu^T X^T X \\mu$\n", "\n", "$\\nabla\\left(-\\mathcal{D}(\\mu)\\right) = -\\nabla\\mathcal{D}(\\mu) = \\mathbf{z} - 2 X^T X \\mu$" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "def lagrangian_dual(XtX, Z, mu):\n", " return mu.T.dot(Z) - mu.T.dot(XtX.dot(mu))\n", "\n", "def neg_lagrangian_dual_gradient(XtX, Z, w):\n", " return -Z + 2 * XtX.dot(w)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The center and the radius for the approximating ball.\n", "\n", "The formulas only describe an enclosing ball once the optimum is reached, but they give a good intuition already before. The center is the weighted mean of the points. And, the square of the radius is the difference between the weighted mean of the squared length of the points and the squared length of the center.\n", "\n", "$\\mathbf{c} = X \\mu$\n", "\n", "$r = \\sqrt{\\mu^T \\mathbf{z} - \\mu^T X^T X \\mu} = \\sqrt{\\mu^T \\mathbf{z} - \\mathbf{c}^T\\mathbf{c}} = \\sqrt{\\mathcal{D}(\\mu)}$" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "def center(X, mu):\n", " return X.dot(mu)\n", "\n", "def radius(XtX, Z, mu):\n", " return np.sqrt(lagrangian_dual(XtX, Z, mu))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A measure for the distance of the ball to the points that are not yet included.\n", "\n", "$\\sqrt{\\Sigma_j (\\|\\mathbf{x}_j - \\mathbf{c}\\| - r)_+^2}$, where $\\|\\mathbf{x}_j - \\mathbf{c}\\|^2 = \\mathbf{x}_j^T\\mathbf{x}_j-2\\mathbf{c}^T\\mathbf{x}_j+\\mathbf{c}^T\\mathbf{c}$." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "def distance(X, Z, c, r):\n", " D = np.maximum(np.sqrt(Z - 2 * c.T.dot(X) + c.T.dot(c)) - r, 0)\n", " return np.sqrt(D.dot(D.T))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Visualization of the Duality (3 Points only)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "three_points = np.array([[0.2, 0.4, 1.2],\n", " [0.2, 0.9, 0.1]])\n", "\n", "X = three_points\n", "XtX, Z = init_ingredients(X)\n", "mus = np.array([[0.98, 0.01, 0.01], [0.5, 0.5, 0], [1/3, 1/3, 1/3], [0.186, 0.367, 0.447]])\n", "Ls = values_over_simplex(partial(lagrangian_dual, XtX, Z))\n", "\n", "axs = init_plots_3D(len(mus), azim=125, elev=15)\n", "for a, mu in zip(axs, mus):\n", " plot_flat_simplex(a)\n", " plot_over_simplex(a, Ls)\n", " plot_point_over_simplex(a, [mu[0], mu[1], lagrangian_dual(XtX, Z, mu)]) \n", "done_plots()\n", "\n", "axs = init_plots(len(mus), lims=[0, 1.5, 0, 1.1])\n", "for a, mu in zip(axs, mus):\n", " a.set_title('$\\mu$ = ({})'.format(', '.join(['{:.2}'.format(m) for m in mu])))\n", " plot_points(a, X)\n", " plot_circle(a, center(X, mu), radius(XtX, Z, mu))\n", "done_plots()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The search for a minimum enclosing ball around three points is dual to the search for weights $\\mu = (\\mu_1, \\mu_2, \\mu_3)$ that maximize $\\mathcal{D}(\\mu) = \\mu^T \\mathbf{z} - \\mu^T X^T X \\mu$. \n", "\n", "The two horizontal directions in the first row of plots correspond to $\\mu_1$ and $\\mu_2$. Since $\\mu_3 \\equiv 1 - \\mu_1 - \\mu_2$ we do not need to show $\\mu_3$ explicitly and can use the vertical direction for the value of $\\mathcal{D}$. The plot shows the concave shape of $\\mathcal{D}$.\n", "\n", "Comparing the two rows of plots the relation between $\\mu$, $\\mathbf{c}$, and $r$ becomes clear. The center $\\mathbf{c}$ is the weighted mean of the points $ \\mathbf{x}_1, \\mathbf{x}_2, \\mathbf{x}_3 $ as we defined $\\mathbf{c} = X^T \\mu = \\mu_1 \\mathbf{x}_1 + \\mu_2 \\mathbf{x}_2 + \\mu_3 \\mathbf{x}_3 $. In the derivation of the formula for the radius, we already assumed an optimal choice of $\\mu$, so that it only leads to a minimum enclosing ball of the points when we found an optimal $\\mathbf{c}$. We defined the square of the radius $r^2$ to be the weighted mean of the squared length of the points minus the squared length of the center. $r^2 = \\mu^T \\mathbf{z} - \\mathbf{c}^T\\mathbf{c} = \\mu_1 \\mathbf{x}_1^T\\mathbf{x}_1 + \\mu_2 \\mathbf{x}_2^T\\mathbf{x}_2 + \\mu_3 \\mathbf{x}_3^T\\mathbf{x}_3 - \\mathbf{c}^T\\mathbf{c} = \\mu_1 \\|\\mathbf{x}_1\\|^2 + \\mu_2 \\|\\mathbf{x}_2\\|^2 + \\mu_3 \\|\\mathbf{x}_3\\|^2 - \\|\\mathbf{c}\\|^2$. " ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "three_points_in_a_line = np.array([[0.2, 0.4, 1.0],\n", " [0.1, 0.2, 0.5]])\n", "\n", "X = three_points_in_a_line\n", "XtX, Z = init_ingredients(X)\n", "mus[3] = [0.5, 0.0, 0.5]\n", "Ls = values_over_simplex(partial(lagrangian_dual, XtX, Z))\n", "\n", "axs = init_plots_3D(len(mus), azim=40, elev=30)\n", "for a, mu in zip(axs, mus):\n", " plot_flat_simplex(a)\n", " plot_over_simplex(a, Ls)\n", " plot_point_over_simplex(a, [mu[0], mu[1], lagrangian_dual(XtX, Z, mu)]) \n", "done_plots()\n", "\n", "axs = init_plots(len(mus), lims=[0, 1.5, 0, 1.1])\n", "for a, mu in zip(axs, mus):\n", " a.set_title('$\\mu$ = ({})'.format(', '.join(['{:.2}'.format(m) for m in mu])))\n", " plot_points(a, X)\n", " plot_circle(a, center(X, mu), radius(XtX, Z, mu))\n", "done_plots()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Frank-Wolfe Optimization" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "def frank_wolfe_optimization(n, gradient_at, tmax=1000, show=lambda state, t, eta, grd, s, mu: None):\n", " \n", " I = np.identity(n)\n", " mu = np.ones(n) / n\n", "\n", " for t in range(tmax):\n", " \n", " eta = 2. / (t + 2)\n", " \n", " grd = gradient_at(mu)\n", " s = np.argmin(grd)\n", " \n", " mu += eta * (I[s] - mu) ; show('updated', t, eta, grd, s, mu)\n", "\n", " return mu" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Progress Visualization Utilities" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "def show_updated_ball(n_cols, lims, X, XtX, Z, \n", " state, t, eta, grd, s, mu):\n", " \n", " global col, axs, prev_c, prev_r\n", " \n", " if t == 0: col = 0; prev_c = None; prev_r = None\n", " if col == 0: axs = init_plots(n_cols, lims)\n", " a = axs[col]\n", " \n", " c = center(X, mu)\n", " r = radius(XtX, Z, mu)\n", " d = distance(X, Z, c, r)\n", " \n", " a.set_title('{}) $\\eta$={:.3}, s={}, d={:.3}'.format(t+1, eta, s, d))\n", " if prev_r: plot_circle(a, prev_c, prev_r, alpha=alpha_old)\n", " plot_points(a, X)\n", " plot_reference_point(a, X[:, s])\n", " plot_circle(a, c, r)\n", "\n", " prev_c, prev_r = c, r\n", " col += 1\n", " if col == n_cols: \n", " done_plots(); col = 0 " ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "def show_updated_lagrangian_dual(n_cols, X, XtX, Z, D, \n", " state, t, eta, grd, s, mu):\n", " global col, axs, mus\n", " assert len(X[0]) == 3, 'We can only visualize the Lagrangian for three points.'\n", " \n", " if t == 0: col = 0; mus = np.array([mu])\n", " if col == 0: axs = init_plots_3D(n_cols, azim=125, elev=15)\n", " a = axs[col]\n", " \n", " mus = np.append(mus, [mu], axis=0)\n", " L = lagrangian_dual(XtX, Z, mu)\n", " \n", " a.set_title('{}) $\\eta$={:.3}, s={}, $L$={:.3}'.format(t+1, eta, s, L))\n", " plot_flat_simplex(a)\n", " plot_over_simplex(a, D)\n", " plot_flat_trace(a, mus)\n", " plot_point_over_simplex(a, [mu[0], mu[1], L]) \n", " \n", " col += 1\n", " if col == n_cols: \n", " done_plots(); col = 0 " ] }, { "cell_type": "markdown", "metadata": { "scrolled": false }, "source": [ "### Progress for the Three Points Example" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "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": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Center is [0.74444444 0.40555556] and radius is 0.5741606864172786\n" ] } ], "source": [ "X = three_points\n", "XtX, Z = init_ingredients(X)\n", "\n", "grad = partial(neg_lagrangian_dual_gradient, XtX, Z)\n", "\n", "show = partial(show_updated_lagrangian_dual, 4, X, XtX, Z, values_over_simplex(partial(lagrangian_dual, XtX, Z)))\n", "mu = frank_wolfe_optimization(X.shape[1], grad, tmax=8, show=show)\n", "\n", "show = partial(show_updated_ball, 4, find_limits(X), X, XtX, Z)\n", "mu = frank_wolfe_optimization(X.shape[1], grad, tmax=8, show=show)\n", "\n", "print('Center is ', center(X, mu), ' and radius is ', radius(XtX, Z, mu))" ] }, { "cell_type": "markdown", "metadata": { "scrolled": false }, "source": [ "As long as we only consider three points we can visualize (a flat projection) of the simplex of possible $\\mu$ values and the corresponding values of $\\mathcal{D}$. \n", "\n", "The two colors have different meanings in the different plots. In the 3d plots we use orange for $\\mu$ and blue for $\\mathcal{D}$. In the other plots we use blue for the circle with center $\\mathbf{c}$ and radius $r$. We highlight with orange the point into whose direction the algorithm shifted the center in this step. If you compare it with the previous circle, you see that it is the point that is farthest from the previous circle.\n", "\n", "In our simple implementation of Frank Wolfe, we do not control the step width. As a result you see the weights oscilating between two points in the beginning. Only in step 6 we make a move towards the third point, when both other points are closer to the circle than the third point.\n", "\n", "For more points, we can easily draw the points and the circle, but we would need to draw a n-simplex in the $\\mathbb{R}^{n+1}$ or projected into the $\\mathbb{R}^n$ for n points.\n", "\n", "You could use $\\mu_i$ as the alpha for the point $\\mathbf{x}_i$. Try it if you are courious." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Further Examples" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "def generate_noisy_half_moon(n, r=1., noise=0.1):\n", " t = np.linspace(np.pi/4, np.pi + np.pi/4, n)\n", " X = np.vstack((r * np.cos(t) + noise * np.random.randn(n),\n", " r * np.sin(t) + noise * np.random.randn(n)))\n", " return X\n", "\n", "def generate_gaussian_blob(n, mu=np.zeros(2), S=np.identity(2)):\n", " x, y = rnd.multivariate_normal(mu, S, n).T\n", " return np.vstack((x, y))\n", "\n", "def add_point(X, p):\n", " return np.append(X, p[:, np.newaxis], axis=1)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "just_some_points = generate_gaussian_blob(13)\n", "gaussian_blob = generate_gaussian_blob(75)\n", "noisy_half_moon = generate_noisy_half_moon(75)\n", "blob_with_outlier = generate_gaussian_blob(50, S=np.array([[0.4, -0.05], [-0.05, 1.4]]))\n", "blob_with_outlier = add_point(blob_with_outlier, np.array([9., 0.]))\n", "\n", "axs = init_plots(5)\n", "for a, points, title in zip(axs, [just_some_points, gaussian_blob, noisy_half_moon, blob_with_outlier],\n", " ['Just Some Points', 'Gaussian Blob', 'Noisy Half Moon', 'Blob with Outlier']):\n", " a.set_title(title)\n", " plot_points(a, points)\n", "done_plots()" ] }, { "cell_type": "markdown", "metadata": { "scrolled": false }, "source": [ "### Just Some Points" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Center is [-0.31441937 0.62489858] and radius is 1.6897745093430572\n" ] } ], "source": [ "X = just_some_points\n", "XtX, Z = init_ingredients(X)\n", "\n", "grad = partial(neg_lagrangian_dual_gradient, XtX, Z)\n", "show = partial(show_updated_ball, 5, find_limits(X), X, XtX, Z)\n", "\n", "mu = frank_wolfe_optimization(X.shape[1], grad, tmax=10, show=show)\n", "\n", "print('Center is ', center(X, mu), ' and radius is ', radius(XtX, Z, mu))" ] }, { "cell_type": "markdown", "metadata": { "scrolled": false }, "source": [ "### Gaussian Blob" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Center is [ 0.31129261 -0.07018981] and radius is 2.6185456160649947\n" ] } ], "source": [ "X = gaussian_blob\n", "XtX, Z = init_ingredients(X)\n", "\n", "grad = partial(neg_lagrangian_dual_gradient, XtX, Z)\n", "show = partial(show_updated_ball, 5, find_limits(X), X, XtX, Z)\n", "\n", "mu = frank_wolfe_optimization(X.shape[1], grad, tmax=10, show=show)\n", "\n", "print('Center is ', center(X, mu), ' and radius is ', radius(XtX, Z, mu))" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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qWBVxuSo+iY3ueAF7DmYZn+5EDYsJdTooiqIoipII4rEbfSGnRwGPAg8ATxGzgyEsAUfEUcBJwFuAx7Bhv/cZnyUJmqc0MOIxFBiJdTYMwg7qN1IFB0NYAo6IYVhbB2Pt3ABsqOWweaV0XPWJi4HPAH/BDrT/nIZ7NSnctMEzsA6YXYGvAzcbn64k7YoadTooiqIoilI1xOMQ4Gyss2ECcD92AP+nWpjfKh4jgROw9p8IvI61/y7j83KStin1j3tDPBo7gDfAemoogsBFZGQcJe1YB8l6YF29DbKUPtx0uQuAy7CO5SuNz8JEjUoh4nEUcDU2d9GXgJm1oOswqNNBURRFUZRYcR3Os4D/B0wFfOBe4MlaftPp3uK+FXgf4AEv0hciqwMoJRJcfoZx2JwjvcBaYH0aIoEqwc1vH4F1QIzCRmmsqoXqBEo43L37EeCrwD+BLxqfF5K1Kt24PBfvAr6FdSxeZnz+lKxVlaNOB0VRFEVRYsFNn/gUcC7wLHZA/rt6nLMqHm30hcjuAdwI/NT4LE3UMKVmcdMnxmMjGzZgB+R1mU/EDU7HYn8vwEpgbS07JRsZN3A+Dfgm1kl2mfF5PFmragvnlDsL+AawEPiC8Xk6UaMqQJ0OiqIoiqJEhutsvhO4CJv/4BfAj43Pq4kaVkXE40BsKPE5wMPA94zP35K1SqkFnH5GY6cetQKrgNX16KjLh5tCMh4bBbEWWGF8tiVrlRIW8ZiKdbpOw06n+H29TBFIAjcl6VzgK9jqHl+ohamI2ajTQVEURVGUSBCPo7HzUacA3wbuMD5bkrUqOVzStI8AlwDPA5cbn+eTtUpJK66Cy1Rs6crlwMZGHqy5wdZ491kHLNNpS+nFOcw+in32XwdcrdcrOsRjDPB97JS+c43PIwmbVBLqdFAURVEUpSLEY19sCOiR2Lm7tzTSm9liuOzknwa+gC27eYUmUVMyuDf7U4EmYInx2ZCwSanC5U6ZhJ1+sRpYrtMu0kUgumEK8DHj86+ETapbxONU4MfAb6ihqAd1OiiKoiiKUhbisTM25PM04FrgOuPTmaxV6cVFPnweWy7uNuAbxmdlslYpSeFyNkzFlrtcanzWJmxSqnF5UyZjk06uAFYan95krWpsXHTDx7DRDT9EoxuqQi1GPajTQYkVETkAmIENjVsFzDbGaNZaRSmCakdJM67zfznwn8BPgG8bn/XJWtVH2vUjHhOw5dA+hI0Q+YG+uW0c3Jv7nbA5C5ZjE0SmpkNeA/oZjHXWDAMWpenZ00i4ge+t2Guh0Q2OR74sF+87lYvGtTN59WaWzV3C94/7mvlOHMcKRD3cBfxPmh0+6nRQYsM1WmflWDUzTY2XoqQN1Y6SZsTjUOAWYBHwaeOzJFmL+lNL+hGPPYGfYRMGnmt85iVskhIz4jES2AWbo2Bp2pxNNaafduy53AIs1ild1UM89gNmYUsfX5bmwW41eeTLcvFx+3LtgOVzuSRGx8MY4JfAEOBs47MmjuNUSlPSBih1zYwSlyuKYlHtKKlDPNrE46vAH4DvAKelzeHgqBn9GJ/XgHcAtwOPi8fnXelApc4QjxZXQnZn4HXjszhtDgdHLelnMzAX6AL2c4k4lZhxb9f/ClxlfD6vDoc+9p3KRaUsjwI3Les04CngSfE4IK5jVYI6HZQ4GV/ickVRLKodJVW46IangMOAQ4zPL9MUDp5FTenH+PQan+uAo4FTgdniMT1hs5QIcdEN+2GrUrxkfDYlbFIhalE/bwILgJ3EYzc3fUWJGPEQ8fgCNpz/NONza9I2pY1x7UzOtXxsnuVRYXx6jM+l2BxLfxGP98V5vHJQp4MSJ6tKXK4oikW1o6QC8WgWj69goxu+i+1oLk3YrGLUpH6Mz3xs1IOPjXq4yCVpU2oUp59d6R/dkPbEh7Wqn83AS/RFPYxM2KS6wiU99YEzgKOMzz8SNimVrN7MslzL1+RZHjXG5zbgZOBH4vGlNLUh6nRQ4mR2icsVRbGodpTEcZ32e4G3Y6Mbbk1xdEOQmtVPVtTDR4DbxGNIwmYpZeDKpE4HDOmPbghS6/rJRD1MEy/et8uNgjuPjwK9wNtSOq0uFcxdwvdLWR4HxudJ4Chs5Nwd7lmUOJpIUomVtGdAVpS0otpRkkQ89sImCfszcFGtzdmtB/24N4s3AXsCp2tHv3YQj+HAbsDyWiyJWif6aQX2ALYDC2sgwiSVuLLIDwO/wuZw0IFjETLVK8a2M3lNzNUrCuGqvNwGtANnGJ8t1bahnz3qdFCioB4aKEVJAtWOkjbE493YjsoVxucnSdtTiHrXjwuNvRT4DHCm8XkiYZOUIojHeGAydjpFqqMbGkA/TcA0bFb/+cZne8Im1RQu8enDwI+Mz3eTtidt1IJ+XH6TW4Ap2OmRmxOzRZ0OSqVUWl6pFkSrKHEQRWky1Y8SFW6A+1ngMuADxufRhE0qSCO1PS5b/E3AxZq8LZ04/ewMDAdeMz7bEjapIA2mn4nARGBBkoOuWkI89sBGun3b+PwoaXvSRi3px1VE+gmwD3BiUs5QdTooAyhVCCJyAfZhns0KY8wNIY5VE/WgFSUMpeinEu0EjqX6USrGvQ35MXAk8D7jszARO6qkn1rUjnjsh53y8hvgMg1zTg+uU78Hds7760mVwlT95Ec8RmCnvLxpfNYkbU+aEY9dgEeAbxmfHydtTzWo97GPi/r5MbA3cFISUy00kaTSj4AQJmLvj4nAWW55Piopr1Qz9aAVpRhl6KfS0mSqH6VixKMNuB3YCXhrwg6Haumn5rRjfF7CJgd7G3CD60QqCeMcdnsDncbntYQdDqqfPBifjcA8YIqbAqPkQDymYqdUfK/BHA51PfZxOU0+DSwCfuvyPVQVbbAaDBE5QEQuEJEr3N9sQZUjhErKK9VUPWilsYlBP5WWJlP9KBXhOh4zgUHYCIdYQo9DaAeqq5+a1I7xWQu8B9gXuNm9YVcSwiUr3BvYaHwWx3Yc1U8kGJ+twCvARDflQgkgHqOBPwE/NT4/SNqeqNCxj8U5Hs4F1gF3Vrv9UKdDAxHSk1eOECopr1ST9aCVxiMm/VRamkz1o5SNK6N1D7ANOCuuOeglvEWqpn5qVjtuPu6JwFTgl+p4SIaAw2FdnJVFVD/R4p5zrwDjxWNS0vakBRexcyfwB+NzTdL2RIWOffpjfLqBDwMjgG/Efbwg6nRoLMJ48koWgpt/NBNYgZ3PuML9nxCe+ZqtB600HJHrJ592jDEvhHyzpfpRysINmO4COoAPxpzVPexbpGrqp6a14+bjnobtQP8sYXMaDjdA2wtYa3yWxXw41U/EuOfdPGCceExI2p6U8G339+JErYgeHftk4Upgnw28Xzy8ahwToKVaB1JSQRhP3mxyJzcpKAQnvh3JT3IkScl4FgkmSXGNG9RIBmSloYlFP9naAdWPEi9uwPQrQADPvfmIk7Bvkaqmn3rQjvHpFI/TgAeTtqWRcJElewEbquBwANVPLBifLvF4BZgOrEzaniQRj48DpwBHV6E9qDY69smB8VktHu8D/iwerxqfp+I+pjod6pRcWVjd31xz2HZ48iIUQiHP4gt5bLy7lhospX5R/Sh1zv8Bo7A1uyOPcMhxb7Zg3wRl0+8tUsL6qakBUwbj0yEeJydtR6PgymLuCWyOa0qF6qd6GJ/tzvHQsIjHMcA1wHHGZ13S9lRCLfTd8tmZhH6Mz/Pi8QngbvE4Km4nqjodUkRUN2E+TxvwT3ILr58nL5fnuwwKehbDegMVJSyqH9WPUhzxuAA4DjjGJVWzy+PVzzj37+y3iQPeIql+Ssdl5VeqwzSgO5g0shLtuMoxk4DJwGRe/8V0Jr37GKSpCZqaAMO2NcOgt5fWERvo6dzK9vWb2bZ6Ez1b787en+qndOLKZVMLiMdO2CkBHzM+cxOxoTL9NAGtQCt/ettBtI56HyKACEg7mN1oG/M829fsijFgenoxXT30dvVieqred4P06cf4/FY8DgTuEY/jg/2CqFGnQ0qI+CbM52mbjH24lCzuMh4KeT2Lbl+XO3s6sOVbMp3RGUmHHCm1R5r1U2aDqvpRIkc8jgOuBP4tOFCtgn5WYnNIrSD+tgdUP0oMuLn/w7C5AOyyENoRj8nA4cBhwK7AFOz9NwUYib3/lgHL2PjKJIbu3Ibp7QVjoxsGT2wC08zQnUayff1Ihk4bwuT3DGH0IZ8Tj1XAUrf9UuBV4BlgjvHZoPpR8uEqF/0W+IHx+X0iNoTTzyBgqPu0kXEy2E8T0AV0sW31O2kdPghjwHoYAAFpmsbU0x5mzRNH07NtLG2jNjL5vf/i4G+2ucF2V+DTCWzBlr/tjXLsE/i9+fTzfhFJSjtfBw4EbgA+HtdB1OmQHkKF5IQkr6etHE9emR3SfPOjlrnlk7HziduB/dy6lcD+9BdsTXvQlaqRSv1UMJhT/SiRIh67AXdgczjMz1pdDf10G2NuKGVHqh8lLYjHcGxEwjzj0xNY1V87gya0M3zPKYw+5GrxMMAR2HK0z7jP4/Q5CJYBq4P7E/nmFeRO8t5rjLkqy6ZW7D0adGLsA5wOHCLvnbOGPT6xia0rl9L55lI2vjqE7o2qHyXDlcAbwLUJ2tBfP01tzTQPaaVtzCnisR3raOjBOgK2ABsJOAmC+SdE5gqwPscxms3GeQ8BDwUX9ouS6PsMxUbmDZZ9/mtnhuz0Dno6t9PT2UVP5yQw5Y59Zgfas1z6AVsG+RH376pqx/gYl9fjGfE4y/g2IWbUqNMhPURZs7Xo/KUSKblDmm9+VGBfHVjBZZiGbbTGAKtLOZaikF79lDWYU/0oUSIe7cC9wNXG5+EcX1H9qH6UPLg3rbsDCwaE4kvrREYftCvD95nO0KnTkZbBdG1Yxva1S7C5Uz4LvGF8TMjDhdaPy0D/pvtk29zMk+d/hbaxBzJk0mSGvXUfJp84ie6O1fRuO1w8rgD+mcsu1U/9Ix5HAx8DDirh3oyBpgm0Dh9My/DBtAwbBMbQs7WLni2ZyLgt7j4PQ0ltj/HpxZaLHjC9RjyaWHDz25DW7TQPbqVt1FCaWlvo2dpFb/eJLvHigO0K5YYQkQvc13LpJ7M8m6ppx+UH+jg2v8Mjxo++fKc6HdJDUbGUEOZTVhbWApTVIc2TFfkM989F9PfwDXN/15ZzLKXhSat+yh7MqX6UKHBvc24FngR+mOdrYUJCw4Z9qn6UusFVqtgTWGp8Nrllo4D3Aqdy6HdOp+P19WxZPI83772TTfNWuE1XmIV+pnzeAXJ7dfVjfHpEnu0G/uU+IM1NjDp4Z0butzfwa2CQeMwCZgF/DQ6iVD/1i5tWcQvwWeNXv2qHi9AZBYxkzBFtbFs5jO7NW+lYuYne7ZmonxXGZwMk03czPr1y+8aR2OiKjOVC64hBtAyfBEwXj25gA7De+H0OgwIRsRkd5NNPrpwaVdWO8fm7eNwGXAd8IOr9q9MhPRQUS1aY6QTgKOz8n9nAXTGXYonyzVVmX5kH3TSs4JbRN18+yigNpTFIq36ijjpS/Sil8t/YsPAPFnijFSYkNMOBwMkishB4kSxtqH6UOmMasBnYJB4fxr4dPgp4FJjFqkd/xuLfHJdju1xtDySpH9PTy7o5b7BuzpMc88sfY6dinAp8GbhTPP4I/Az4o3sLnG9/qp/a5qvYe+/X1Tqgc96Nw0bDDMIO1tewce6ddG86I8cmSffdYED7YwxdG7bSteEN4/OceAzDOk92cY6U9cAq4wcdFTn3l0s/rxGiQk2VuAJ4No5pFmJMglE1Sj8KefNcWM5ErOiCHrLNWK/ZaqA7e7tKjxtYn6tDOrNUMRfbV5THUhqLNOon6vtZ9aOUgnjsAzwGHGl8Xi/43Tz3cUA70F8/m4Gn3TLVj1J3uIiGo4G3A+cCzwI/BR4IvtkM2fZAxPqJsu8mHuOBM4BPY0O/bwBuMX5f9ILqp/YRj7dgk0ceVI0oB/EYir0/R2MdDaux5WZ3DD4r6Ls9ja0qNjnXtkVti1Y/g9xvHI/NN7EKWBd03hXan/ubGu24Mqp3Y++TyBwf6nRIKTnEsD9WrEfQfy7QUGz4T0aAGULdqGFFFWVN2ZBCn4H9zWOwIXsD3ggoSi7y1Gk+A5szI3WcAAAgAElEQVScq+r6iboes+pHCYN7s/QYcJvx+VHo7fK3PdBfPwYbDrofqh+ljnDaORG4BHsf/AL4sfF5tei2VdJPXH038RDgLcCFwCnAPcD1xrf2qX5qFzet4lngK8bnrhiP00TfALwVe5+sDiZ9zLtt+LFPRj/T6K8dSF4/I7BOkqHAGmz0w7Zi+8tal5mJUJYzPwrE41pgmvGjm2ahTocUkkcMR2DfyO6LzXqaYSz2pjb0ZT0FWJErU3iOG34yuUN6BmwfdeevEOoxV8qhwH3ThL3Pj0P1o/ppAMTjEuAk4J15QqUHblO47VlJf/1sdn/bUf0odYB7W/kp4CLs/X0L1tmQL1y6//bV1c8+2HDu7LfVYbVXvNyzjX44Fxv9sAr4NvCbYokHVT/pRDy+jr1vzo4jeaR4tGCjEsZhX+asBDaGPVaJY5+MfobRXzsQsX7KbXvc82Q8tp/ZASwLRkjl3S4l+hGPIVgn1aXG594o9pmrLI+SPLkydi/CevSyb9hO9zd7+YDkI4EbeSL22k90x5qQ43j9ts+z7VlueRwUylquKPkodn+ofpS6Rzz2BS4Fzg3rcHAUanugv04W0ZcAS/Wj1Czi0SweHwXmAe8Gzgc84PthHQ6OaupnMjZKIls/YbVXVD/GZ5XxuQabSPPrwOXAE+LxjkLbofpJHeIxBbgAuChqh4N4NInHJGxUQgvwsvF51fhsKPFYpYx9MvrJNYiPTD+VtD3GZ5vxeRN4Huvg2F089nCD+UKkQj/GpxPrgL3GOZQqRhNJppNc2UpXYt8IrcXeeB30ibHd/TtIrjk4uW7YDvrKHRXavmDpshjeQhXNWl7NN19KzZDvvunGzk9rImX6iTjxUYaC+lHt1C8uNPzn2BDagnkcclCo7VkBLAR2pe/NrepH9VOzuFDoU4BvAhuBDwP/wA5GFpbosIPq6idTdi9bP2G1ByH1Y3x6gFnicT/wfuBG8VgAXGZ85uTYr+onfVwB3OwGwZHg9DMOO4DfDMwzPlsr2GUpY5+MfrK1A9Hqp+Kxj3uOrBaPte57e4vHBmxFnO059p0m/fwBWA58FLip0p2p0yGd5MvY/aIx5oasG241VvTZnbZcJWJy3ciZsKVssrfPK4IcoUAZTyAVCCFMCbeixywmTu/Ca257Zvup75/fuXfrHkNe6Tq87b67/Osv/XCZNivJ03ffNA9rY/D44bSNaad99x6O/fV7gCGs+Ms6lv9xKtvWTMP0tLB93SAGjR2H6e0F00tv13amnf138TgXm1V4qf3bNCFHJHil+tmf/vd5FNqBAvopRa8lzN/VzmN6+Bw2gmdAeGkI+u4baRKa2pqR1mZahi3k35fdA9zPPz62L6v/cRQ9nWMxva/Tu300zYO6gFEYA/T0Muaov4jHWGxCre3ubxztT03r55Evy8X7TuWice1MXr2ZZXOX8P3jvma+U4HdSkjE41jgW9js818A7jc+Rjx2wyaA21xwB7kp2HeDAffEHMrvv2XK7g3LWh627wcl6scNnu4Qj7uB84D7xeNR4MtZ+S4q1k+YtkXbn3CIx97AmcD0CPc5GpgKbANeKzEiKB+ljH1WYSutHJLj+1HqJ7Kxj9PPCvFY7b67r3isAZZn5btIjX7cM/Ey4Nfi4bvoh7LRnA4REtUDUEROx4b3ZUKHMl69nPN5wh43K4tykCbs4KrQzZlv20xN6pzrcs2rCkOILMnZGaGDpWe+GSaTsnfhNbfdvv7SD2Wv/OCoa36ljofqU8G8uZHAocDhrHz0ncy/6S1sWzmc7i1NNLVuZdD4Dex14XNMmPEy9v5YjR0IdQNdzL9pZ5Y9sD/bN4xi0LgOdj5zCdPOApiC9eDbv6/8aBRbFnfQvXk129YspXPZMjoWLGXL4o2Ur5+9gVdyLC9bO+54hbIkZ5c1y+jHAL+nr2pBMQ2mYt6hYhGRAxg88QT2+MRVvHnvtWx4PlwyR1vqaygwlCc/eTBLf/8xejqnYHqGgHTQPGgJU066laNvfhHrPOiGHSGzhj+9bV82vXIMvdvH0TRoDWOOfIrjZs3HJhDr+zz0lrPZvnY0Pdu66NnqPlu6MN1Qu/rJ2fYU24cx5oVHviwXH7cv12avfGQul6jjIT7EYyLwI+xc8SuAXxmfHhE5gJbh72DIlOlsevVF6H20zOpcF9J3T2T6b9fn21eF/bcJWKfJy2VsCxXqx5UM/By2LO/PgSuMT2el+ikhway2PyEQj7uAZ43P1RHsawiwCza/whLjsxGiGf+UOvYp5bjl6ifOsY9reydjk24uzVSJSKN+nKPx78Yf2GaVgkY6RERUb/vdfg6hL/R7mPv7UL79uOVhjpGvFvtdIWzMW8cdWxkgF/k8hEUxxevtZvadXUZnMu68UyQs6pntp74/18pntp/yfmyYpVIlQntvvR0VKGa4v4djnQLPAc+wZfHjrPjzJratHEXv9jYyDdeiO/J2+uwLm/OK2zjsmkOBjzJ05wkMmTqFkfsezPhjTmTaOT2MPvhJ4BlsGNobOTbPp5+1OZZBBdqBwvoRkaBeg/oxBM47RfQTYr1SJXboZ+I73s2WxXPZ8Dzk1o8Aw7HtylD3twmb9KuDjS9vZOvKDZiu4UAP0EEXG1jw8yVm/s15wnIf/Rvwt6I2tjzXg+n9AM2DW2ge0sqgMe00T2ll6mkPccg1/9phA2zKsXka9ZO37XHnvKA+9p3KRblWuuXqdIgYd++fA3wfGyb84Uwo+A79DBo7hm2rO6B3AtFEzBSlwv7bSgo4NIpsCxXqxyXF+6Z4/BS4DnhWPD5ujPl7JfohXNui7U8IxOMI4Fjg4xXuR7D9g4lYZ8PqHesiGP+UM/aBqugntrGP8ekCFonHSmBXFz3yRqXtD/Ho54vAo+LxU+OzPszvy4U6HaIjqgdgZj8r6R9yN7kco4KEGMiXta2IZL85zVBRbdciD5NM+NG0rOWZpDIZO3Oxv4hc0Ox1teZauaBz75zLlVjJP+fUYz7wTuA04FRgHfAw8CDwDWzSom4AkQ9fgC2jlGv/FXVETMeiZ0Wkiy2L+5fjPPjqNVjnx+HYRE23isfjwCzgPuOzOJ9+GBh1kKHiusgF9BMM3QvqJ5iQqah+sA1xJ31vIzJUNOBTymIGgyePYNhuh7LgpuAblhni8TK2hNco93crdmC/FngzU8oLQGT2adg3JssG7L9S/XRveV5EDL3bZtC1oU8DJ899lUykhXUgDhaPjdjEWxuNT3dK9VOo7XmBIvrp/iVTcq0c2155W6/0x0U33IANLz/F+DyV9ZUZtAwfRFNrC9vXbOm3vPT+W3bfrZz9DCCO/hsR6ce9of2AeJwF3C0et/FBc4Xxy9ZPsZD2GWj7E5argavCVE3Ih4tu2BUb5TY3Rx6CKMY/sY19oHz9VGPsY3y2isc8rCNhH/FYWmH7E7l+jM9c8ZgF/A82oWxZqNMhOoomPqx0P1GEL5XgFSxl20KewLhYBpyM9fR1AxvoC8eCvnOUK5xqGrB690Fze1/deuCACi67D3mly051VKpI//t+0LhhjD5sb9r32Bs773YOcB9wbZFa6Unp5373QTxGAO/BOkmuEo9FwH180MzCll/bMafNNWbV1s5s+kKAg/p5KfCdovrBth97Y8WyCFuLfSURDPiUkhnP5BOOZ/OCZ9i6YhNNbc20jhxMS/s+wAFYJ8MGYLF7u5J/P3mWx6yfbVhnYibkdCQ25HSaeGwBNvBB82r2ICZh/ewFtGGnnAT1kzmHBfWzYCVb9po0YD4xazazLFc5D6V0ckQ3fDDoZAswnsEThrN15cYBy0ujpvpvUevH+MwUj0cIRj34/D3HvovpJ9+c9hZn7wT3ace2QXOwIfKg7c8OxOPtWGdBWQkAC0U3ZBHF+Cf25Inl6qcaYx/XL1zhEkz2RT0MfF6VO/aByvVzJfBP8fiB8XdMLykJdTpER8HEhxHsJ3OzZIgqYVbFVOKBL4esMKxdsMIZCcynz2OX8eRnPxAy2W4nTF7xv6tfHfnzAf27w9vuv0udDlXH3vdjjtiN0YcdyaDxu7Ft5Xy2r/k7cLHx84aB5t7PQKqmHzfHcSYw05UZOgbrgLgT2Coe1wO3GZ+N1dZODrroX/s6Q1H9YN9Mt7nlk+mb5z8zejOVgow6uJkhU6bz+q0/ZdiuY2ka1EL35q10bVwIPFdCFv406KcL69Ra7aZTDcdGaewjHp3OxvXGxySsn+303f9BMm1+Qf1cez8rbjyf3bM3nruE76vToXLEYxxwI/mjG/oYNMG+JezakJ15v677b3HoJ2fUA3wxx9vxQvrJN5iDvrDyrdhnQxtwGDZyayXxOhxrjc9hX9QUcjTnRDwGA7uRP7ohSBTjn0iS91aTmPQzMOqhf66Hcsc+GcrWj/FZLB6/webd+EY5v08TSUZEVEltCuyniRyp83EJSxopi2+OJJKZeU2bgafdv4PJ7oLnZX9sh/YIYOKxJ3x4+sopFw9fsG0/dh88t3f3TTc//cBd3z+6aj9GQTxGsXjmpax+4nwwho1zn2Ll7Ofo3rSNOtKPe2twPPYtzzuBO4AbjM/zUR6nqB0R6sctb8c6HF4CHjHGXFGN36FYxKONVX/7I6/+qI3Vf3ua7es6AoOnetPPKHeMwTjHRJHOcOQE9JM9pzajn+xkXbn083Zg8n8cy7hLTmH49Cm0LFrNpl89zh+vmGnOrOLPqUvE4yDgt9gyyV/ME92Q+a7w7MXv47Ubj3ZtTpC60U8SiMd47Fv20cCZxmdlWP3kOifYOfRHue1HYuf9t2AdGLMJJHJtdMRjGvAsMK3UqRUuOfeuBJIbFvx+BOOfEpNfZ1hB3zShutIO7HD87I7Nd/QGt8unKb/vFol+xOMQ7NTh3bMqboT7Tep0iI4Iq1fku1kGTAXANmR300BZfEXkCvqfi0zI6hDsAyrveQ80eCe57TJsx5ZGfMEY85k47Fb6Ix4HA/8POBv4Ay99+wH+ddlQMHWvH/GYivUWfxLrpb4e+E05byRKPrbqpy5w03jGA0cC3+NPbzuTVbMPpgHaHzfHeDwwBjt1ZFUmi3rcZOknmD18M/CFQr/Z6edA4ET6RxhtB/4ELDfGXBWH3Y2CePw7NsLhs8bn9hDfHweM4XZpQ/tvkeOila7CJuc+ndvlNCrTz8fp3/aA1c9D2vb0IR5fB4Ybn8+VuN0k7PmdX4qzIqLqFTn3kaPPkmEc5JzyURfagR362RVo4462czD9uoih+24QnX7E42/ANcbn3rC/Y8e26nSoDeIs21JrFDoXxX5vwJt6Jja0qBX71mwrdl7Uq8aYk6O1WAkiHtOxoVnHYJN7/cz4LI/1mCnVj5u//j7gP7FJ9L4E/LqEcPjSjxmdfsZgtdOEnVe4CqsfL1qLlSDi0Q7sBDRjwyG/jU2mek1sx0yvfpqx9+EEbBjwEuOzOdZjVq6fb2Hn0Q6jv37eAO6oxza7GrjO+ZeATwD/bvwdb/6KbbcvgdJ/sdiWUv1UE/H4AHAds8+4hzfvWZrjK2H1czv9+24Z/byofTeLeLRhQ/CPN/6OufrFtmnChuwPBl6rxguQsMRV8rWWEI/JPHjEhWx8qYmezuxrE65EZ0T6EY8PAx8xPieU9CPI7TlS0km+eTaziS6JZa1Q6FwUxHkBZwJr6O9w6MLObcokfFIiRjx2cqW1HgOeAvYyPl+P2+HgSKV+jE+X8ZlpfI4DPg1cDDwlHu9x4eRxEIV+OrE5HcCG/kH9Pm9SgXgMEY89sfNsV2Gns/QApwM3x3z4tOqnx4X/voR947WbeOzpIiHiolL9LMR28rL1M42BVUOUEIjHMGzOnBOBo0pwOAwDmqsQJZNK/VQT43MncAIHfPlUdj77eJDs9i2sfjLTEQe0P9p328EZwIslOBzasLlPAOalyeHgyHdvxFIyOY0Yn2U0D/49Q6eNoXVUdvsWKo9JhPqZCRwqHnuF/P4ONJFkwoQNSUqiZGVaqTR5i9v+TmxW68lY50Mmg/JKtM5zpIjHGOAy4Dzgp8DexreZ6ivedx3px/g8LB5HYaMIfggsEY8vGJ8nIj1ONPp5DRsePpL++lEiRjwGYaNghgPLsWGvxq37GHB/mHm3OfddJ/px52ONeKx19u0lHpuwc5Lzzucv61iVJw97ERsuC/31s4yIysM1Em7u+izs/PW3G5/sZJCFmEAF92m96KdaGJ854h16CPt+/kFG7Hsa8777O7o7llCafmYDU9G+WyEuBH4Q5ovO8bYHsLJKL4D6jl2hfoixZHIaMase+7sM32s77XucTufSYWxdtoDSp7FUrB+X7PJm7Iuyz5fyG3R6RYJUIflk3cxrihp3zn7IwMz9L6HzaiPBVW64CLgUO2/1KuOzJLL917F+3Ln7OPAV4AngIuOzOAlbciEi12FLMWajOR0iwk0dmIKdPrAS2ynsCaxvAuYB/5GjLF3x/de3fprpKwu2Fut86Cm8VXXQtic63Ju2h4H/A74bLEccYtsW7DPshbISotWxfuLGOVJvBPYETjJ+eIe16qcw4nEg8CCwa7GIBZcXaDdgYSnXIAriTj5Zr9qBHc+uPbClpt8o6bkXkX7EYzdsxPI04++IliiKTq9IlhklLs9JIOR5BTYx0QrqXHSV4s7NbGzyIuP+voTt3Nell7SaiMd+wN+AE4Bjjc+nonQ4OOpWP8an2/g2KgT4FzBHPM6LccpFqbyI1Uu2fl5M0qh6wXUG98O20S8an2U5Bs3vwp73f5R5mHrWT4/xWYa9H5uA/dw5TRxte6LBtTF/Ab5qfL5TSsfbMQ5berVkh4OjbvUTNy766OPAP4E/umjIcNuqforxIeAXIRwOI7EOh/nVdjg4KtZPI2oHbP8QeBU7JXzXUvqFUenH+LwOzMEmFQ+NTq9Ilsjm8rkbqa6FFgN3kbuMldZ5LhPngb0YG3L1JeDGMjqDYal7/TgP8lXicQ9wC3C2eHwiBVEPs7FhjStzLFfKxL2h3wkYgX2DUWiu+YXA9RXoqxH00w284RwOu4jHBmzSwKSjHrTtqQBXEvNB4H+Mz21lbC/Y+3x+BWbUvX7ixPj0isdngGuBP4vHu4yfsxJBLlQ/+TkN+FihL4jHKGzSyNdKLacZIZHopxG1Azv08xq2pObu4rGghL5AVPq5FzgV6/gJhUY6JICIHOCysR6JrXefXb5EvbVVoFG9pHERiG54F3Ck8flJHA6HRtSP8XkeeAu2UUg86kG1Ez2B6AaAlwo5HFzJ1bcBfsnHaUz9bMS+zRFSEPWg+ikf1848iJ1yVrLDwTEC6C4lLHjH8RtQP3Hh+geXAA8AD4nH6FDbqX5y4qYbjYb8iVRdhMMuwKtJOBxUP9HhqpzNx7Zru4XtE0aon/uAk93LxlBoTocqkzUHaQKBTiZ9bw0b/uGp1A7u7ewlVCG6QfWzY87mLdhs/ecZnzeTtUipBJebYWfCRTdktrkQONr4fLSkY6l+Ms6dXbDJs96MszytEi1uUPUX4FLj86sK9rML0Gn8AZFahbdT/cSCGyx9F3gr8O4qVBOpS8Tjv4F9jM8n86zP5HBIJMJB9RMPrg+xB7Zs9MIYo4tzHftZ4LPGDxcloZEO1Sc4X2klffOid8Z5m8DWpRWRK9xfLQOkpBLnNZ+FLVUWW3RDgIbXTyDq4THgSfE4NmGTlDJxCdX2wb6pKBjdkMVp2LcMpaL66Yt6aAL2cddASTmuSsWfgK9U4nBwjKK8ajsNr584cH2GzwPPAL+LueRtPXMatj82APFopy+HQ1JTKorp55/ADNVOaQQiHlqxpZerySzsfRcKjXSIkVzlYLD1c3M5e3qNMVc1ajZWpfYQj72xc7oeBv4r6trOqp/iiMd7gVuBy43Pz5K2RwmPeAzHdgKXlVLy0r2tWgJMMT6b8n5P9VMU8ZgATAJeL3QulWRxZf0eA24zPt+NYF+7GJ+X8n4nTyk/EbkC1U9suDe2t2FDvj9SzTe2tY5LxrkQmGh8OrPWDQKmY9+Cxx5FUo5+sBXOVDsV4PQzHVhrfFZU6ZiHA78yPvuE+b4mkiyDYrVl3fr3u+90AIuwQjvL/c0VzpnpdL4fOAwYFthW6w8rqUI83gP8Eviy8bmxpG1VP5FhfB4UjxnAvS652n9XkI1dqRLiMR5bDnNByYPd+TedR+eSRTz/lf+S21U/lWB8VopHJzYR19JSnD9KdXCh97dg34L+b8U7fOz9R7P26aNEXj+L3O3P6cD59NfARBHBfX9ijr02pH6ixiXHOw/rIL0E+HbCJtUSJwJ/zuFwyITeL4/C4VCo/1ao7QmhnxnYKRfT6K8f1U5InH7mYyP4tlapKskcYHjYL6vTISQBoe0P7EpfYzIRJyjnyct4ug/Dhsy20zdvqdD8wdmBY2SSgQS31XmnSuK4DuDngEuBs43Po6G2U/3EhvGZJx5vAW4HHhSPDxifNUnbpQzE6Wca9t582ZWOK75dUD9jjjwdaZmP7cypfirE+GwSj5eBPV1Y92J9w5oqvoSt6HJ8udeln35aRx1AT+crwFJy6+d87L0P/TUwAzsYzvU2tmH1EzXGp1M8TgeeEI8Xjc/vkrapRjiV3FPudgM6Ss1fEiRM/81RqO0pqB/g04HvE9hetVMCxme7eCwA9hCPecZna8zHM+KFn+qpOR1CEOjITcQKLiOGYNbVGVl/h2XtJjPPppv8WUMz3sFspqEZXZWEEY824CZsfe1jSnQ4qH5ixPisB04BnsV21vYrsolSZVyG572x8y5LdTg4/chuNLVNZP2zbah+IsNdi5exdc/3LiUbtxIf4vHvwCeBM8LqZcA++umnaXdM7zB6t+1Nfv1kawesBsYXyfresPqJGpcc+Szg5+Kxb9L21AhvBf4aXCAeU7AvlxeVu9MS+m/F2p5i+hmTx4R8y5U8GJ/N2CmYe7hE73Hz17Bf1IY1HMHkJ0FBTaPv7dH4rL8d9HnLg9utKlBXdjz24ZA9YBiG1h9WEkQ8BmMbi17gre6hFhbVTxUwPj3AJeLxArbu+UnGZ07SdikgHq1Yh8OGMqqN9OmnbcxkerdvpWfrNlQ/keL085p47IR1PLwadZ4aJTyuSs+NwInGZ1kFu+rTT1PrCExXZvpZPv1kawesBlbBjnJzqp+YMT5/F49LgFnicZTxWZe0TWnF5aZpBxYElo0GxmId3JVEbpXSf4MCbQ8U1M9a7JTDXMuVEjE+q13k3u7i8VrM0XvPhP2iRjqEI1tQGYICXJX1N9uzmNmuUOOziv4ZXY37O1sTqShJIR5DsRlqNwNnluhwANVPVTE+vwAuAB4Qj6OTtqfRcRFCmeRO5ZQ37dPPkEnD6NqQ6XyrfmLAXaN1WMdDW9L2NCLiMQ6bpPizxufpCnfXp5+mtu30dve4/+XTT663wh0UdxyofiLGtWWzgLs0+qgghwNzMgNLN9ichq1UUanjNGz/rZK2B+BFBmrnJbdcKY9Mf2NqzMeZH/aL6nQIRzA0LiiooABnZ/3NbnzmUDwLa3Dbp4FH3N+7yjNbUSrDZfr+PbAM+FCZDZjqp8oYn3uAc4H7xOOtSdvTqLhB697Aqgre1vbpZ/g+bXRtyiSeVP3EhLtWq1HHQ9VxeU9+AtxtfG6PYJd9+mkduRLTk3E65NNPLsfBz0I4DlQ/8XApdqxycdKGpJjDsfdaJnHk7tjcNFsi2HfY/lslbU9mH9naWYlGCZWNc0K9Dox2Va/iOk7ovBvqOQxHMPlJJpxoGrY8zQoCnmyXjAhsSFIv8DwhPd1Z2+bM7K8o1cJ5y2dhH1rnlfJgyUL1kwDG53fi8RHgHvE4xfg8mbRNjURgSsXKSpJ4EdTPiL3GsurRx4DRqH5ixfisEA+wjod5OtWianwA2AfwItqf1Y80N9Havp7O3rWEa3+WU4IGVD/xYHy6xeNc4GnxuM/4+uY7B0cAvvv3ZKDT+JFNSwjdfyu37QHVT1w4/bwB7CIeL7lphIkhxmiS5jBkZW8dg51n9CIqCqUOcXWd7wHWY+tlV/SgCpRSOtQteha4S7UTP+JxKvAz4ATj88+k7WkEAg6HNcZnecX7EzmAtnHnMubwz7D8D39A9VM1xGMSdm70PC1HGy/iMRF4Djg1SiepiBxAS/tHoOlIujd2oPqpOcTjU9jKIseoDvsjHouB47GOsj2Al6I8R9p/q33EYxogxueNJO3QSIeQBLxwE7Fhl5l/Z5dbUi+dUtO48LzbgE7goxF6Rnvpn3BGtVMFjM994nEhNsfDscYPP/9OKR2XLXovYF0UDocdjNhrIsP3XMzyP2Q0pPqpAsZnuXsmZiIeEn1TVK+4aRU3ADfHEpXVPLQZaXqW7o2Z6Umqn9riRuwb94uBbyVsS2oIJJF8HdgXO60iDqeM9t9qmyXAfuIxwvhsTMoIzelQGjPyLc8qKxOsn35AtYxTlIi4Apt4xoswpFi1kyDG5zfA17CZwGOb26cAtqxYh/FZGuE+ZzBk6hS2rcnOC6H6qQLuWnZgr60SDx/AJly9MoZ9z6B5cCs9ndntmeqnRnDz088HPi8e+ydtT4o4DJs3ITOtIo4qH9p/q3GcszwzzaIaZTRz0hBOBxE5QEQuEJEr3N9yxTC+wPK8oizzWIpSdcTjTGwCwjOMzzbVTl1xA3Z+5m3uza0SMdl10SPVz6Bxk+lclu3IUP1Uj0VAi7vGSoS4aRU/AD5ufLbtWB6lfnI7HVQ/NYQLDf8ScItWs9jBLthn01iyKkdo/00J4iIcNgA7JWVD3Xc8I/bCrSqwvJAoFSX1iMfBwI+B043PctVOfeHeFH0WGAVclbA5dUegLvp842Mi10/ryMl0LMiOdFD9VAmnnwXAWHetlei4jqxpFZHqR1rXIE1N9G7Pnhqj+qk9bsTmmvrvpA1JCVOwU2H7TavQ/puShyXAiKQiXuve6UC0Xrh8pVtmU1iUipJq3LzAe4HPGJ85bsF83J4AACAASURBVLFqp84wPtuBM4EPiccHkranXhCPofTVRc90/KLTT9vov9E8qJ3OpRuy1qh+qoibbjYfmOauuVIhrqTv0cBXs1ZFp5/hezxBb1euXByqnxrDOf8uAP5HPMYlbU8K2A1YlmNahfbflAG4aRaLgZ1cHp2q0ghOh8i8cC4xykxsmZhe9zdTf7aQKBUltbg69DOB24zPnYFVqp06xPisAk4HrhOPw5O2p9ZxlSr2ABZl1UWP7g3QmWtXsdO/r8P0LEP1kyjuGi8C9nDXXikT1+n9FvAV47M1a3V0+jl57qtMevfv0PanLjA+rwF3AV9I2pYkcdMkpwEv51it/TclJ8ZnPfY6Vj1irxHmRK3ChhXlWh6aHNlZ7w5mZ9Uas0oNcy2wDptAMkgk2oGc+slXG121UwWMz7/E49PA3eJxSEzJp+oeN2jaHVsaM/scRqYfnv/KDJqHbkH1kwqMzzrxGIJ9y/hK0vbUMCdhS5DfmmNddH23wZPfizRPBl5D+271wlXAi+LxA+P3z2XQQEzETulbmGOdjn2UQrwJ7CYe61z0UFVoBKfDbOy8plzLQxGYG5WhX6nMzEL3bxWaUjOIx9ux4fYHGp/erNUVawfC6Ue1U32Mz2/c9f8e8LGEzalVxsOO6gbZRKefcf/2PkYdvJX+c3NVPwlifJaKx3TxmGB8ViZtT63hMqhfDVyepwxpdH0309NuX+xp361ecKVsb8BOy/l40vZUG5dIcwLW6ZCd6wd07KMUwPhsFo9ObB+mau1X3U+vKBIWFBbNzqrUHeLRDtwEfCrXm+6ItAOqnzRzGfA28Tg5aUNqDfEYhC1TtjDX+kj10zpiOD2dmwYsV5JmITDZ3QtKaXwQ2AzMyrUy0r5bU0szvd09A5Yrtc61wMkNWkJzErYSwTisNvqhYx8lBEuASdUsodkIkQ5ReOE0O6tSj3wLeNT4/C7fFyLyYKt+Uorzdp+LLaN5oE6zCIebVrErNoHXtnzfi0w/LcOH092xecByJVGMzzbxWIa9F+YlbE7N4Jw0XwM+Wii0N7K+m7Q0YTp6ByxXahrjs0E8rgG+gc1T1BC4PFxjgTXAepfgdgA69lEKYXw6xWMTNmImV7RM5NR9pENEaHZWpa5wYfWnA/9VhcOpflKM8fkr8FvsNAslHJlpFdUIS1xFy9B2ujuyIx1UPykgcw+4CkBKOD4BzDU+j8Z8HKuRptbmrOoVqp364UfAYeLxlqQNqSJTsPfwIGy0UFxo363+WQpMcNN1YkedDuHINQdqAjBZRK4QkQvKrH2rKFWn2LSKGFD9pB+dZhGSYtMqYmA2zYOH0b25I7BM9ZMuFqLTLELhMu5fhI10iBvb9khzE6Y7GOmwzOlG9VPjuKon38HeU3WPGxyOwk6XaIEdJZrjoO77buJxjng8Jx7d7u85SdtUTVykZmaaTuyIMVVLWlnTOGG9HzgUGA4I8CJ9CTgmAKuxDwDN3qqkFvG4Dmg3fvWSB4rI6Vj9TAS2ApvoX+ZJ9ZMw4nE8cBvoNItCiMd0YF01kwfKUTc+xUvXdNCxoIeB+pmALZu2ENsmqXawnUngcmA/4CXgm8bnjhiPNwEYbXydZlEI8TgBm0Dy8GpkTReRA2jf6z/ZPH8q9Bps1nZD/76b6icL8RiDzRswGPvMWW581iZrVW7EYyT2+u1rfJYnbE6siMckYJDxecPlsrjL+PHltKjnsY9rI27PseqDcbYVaUM8hmLLfr8Q9zNZIx1Koxd4BhvOZLCdmQnusx9wGP2zi9e0B1CpP8Qj04BUY1qFPabVwSHY0nKzsdqZBDvCkVU/KcBNs3iABq99XgjXEZeqOhxEDmD9v0YzePybDNRPRjvt2LwCqh36dSYPBJrd39vjfIvl7glx94iSnwuB66tZpg1p6kWa5mD7bzszsO+m+gng7uHdgCHYQeYQbHm9VN7bxmcDcBdwftK2xInLJZQpSwk20iFX5Zeoqdexz+V5ljdUH8j4bAG6gBFxH0udDuEJZmsdFvj3NPfJXp69jaKkgW8A36rym+xsHWR0Mi3rr+oneb4CnCceOyVtSNpwHb4p2IzP1WQGSBOmNxMeHtTPtMD3hvXfpqFJqjO5BJji7hUlC/HYBTiW3G8X42IGIkKfj0P1U5xJJS5PAzcAn6rW3PSEGAF0uUEiUBXHXT2PffYrcXk9s4oqJAhVp0N4ghcjOLd2GH2CCy7P3kZREkU83oqNOLi+yofO1kFGJ8Oy/qp+Esb4LAVuBK5M2JQ0Mg7YZnyyEzrGzXg3aMp0MIP6CXb2Ovpt09gk0pl098Y2qjQ/tgb5FPBL4w941seJ04LqpwQGl7g8cYzPP4FFwKlJ2xIjE+ifxLGb+KsQ1vPY56USl9cz64BhceclUqdDeIJCXxT4dwd9ggsuz95GURLDvXn7FnClS7xUTbJ1kNFJR9Zf1U86+DbwPvHYJ2lD0oJLfjeZ6kc5AKzCmF5oyrw9D+on2Nlb1G+bxibJzuQSbFJJ7V8FcJ3Z87BvpKvJKowxIKqf8OTrI1S771Aq12On79QdTj9DoV+UajfQGvOh63ns8808y6+uqhUpwPj0Ykuwxuow0kYxPMEsriuxnZfN2OQ1c9z/s+f55sr8qihJcBIwBrg1gWNn6yCjnznYuYKqnxThpt5ci52Ko1gmApsCYa3VZDaYXqS52f0/qJ+F2HYoWz+Nrp3EOpPuHtmEvWeUPs4Enksg0eZsG4W+Y8aL6qc4+ZIxpj1J40zgIJfst94YD6x2g8MMXcTvdKjbsY9LFvlB4DmsA+c5GiyJZBargLFxOszree5TZLikKDOwIZNjgLXA88D1mSytge9kkrzUTAZXpb4Rj2ZsZ/ty41cl6VAumrDZjwGeJaAdUP2kkB8CnxWPo43PE0kbkyRujvAE+ldbqS69XYbON/fCzuntpx/VzkCMzx3iATaHQ6Z6xdVV7EwuBfYRj1XGj7WkXS3xUeCniRzZmCZM72FY74PqpwjGZ63TT01Ur8hgfLaJxy+A/wC+mLQ9UeEiVccysA3agC2fGc9xG2Ds49qERnUy9MPppxMYCfHkfVOnQxGcoM5y/13tPpAlLPfvmhGa0lCcg/VMz6r2gQP6yWQ/zonqJ10Yn07x+Cr2jfE7k7YnYSZhS2Ruq/aBA/rZTvuei9iyeIBGVDu5SbIz6Tpv67D3zptJ2JAmxGMEcAw22qF6x83oR+ihqfWf9G4b4ABS/eTGORhS7WTIw2+Bn1BHTgfstIquHG3QOmCweAwxPp1RHlDHPg3LOmJ0Ouj0iuLky8JaK9lZFeUi4BtVLVHWh+qndvk5MF08DkrakKRwYYbjSC6s2OqkZ8tmWocPH7BcSTPLiTlUtYY4AXjc+Gyu8nGtTnq7e2hqbRqwXKlHngAmisduSRsSIaOwUQ39cH26Zdh8Q1GjfbfGZAMwMq4KTNoYFidfUo1ayc6qNDDicSQ2LO/BhExQ/dQoLiz8RuCCpG1JkLHYXA7bEzq+1Ul3xyZahrUPWK6kFnfPbMaGJTc6p5JApB0ZnZjuXqSlecBype5wU0jvp76qWIwE1udZtwxbyjlqtO/WgLh2azsDy6BGgk6voOicpFXkTghVK9lZlcbmQuDHceZyUP3UNT8DXhSPS43PxqSNSYDxxBweH0o/XZs20TY2qCPVT22wCtiJvtDkhsPlRDkJuDyW/YfRz8BIB9VPfTML+Azwf0kbUimuakVLgTKzZUc6aN9NyUMmV0jkkWkNH+kQmLc0EXs+JgJnueWQPwtrTWRnVRoX8RgLnA7cHNsxVD91jfFZCvwR+EjStlQb8WgHJE5nS2j9dG3YRPOQ4PQK1U8N4O6dJncvNSr/Brxh/Oidd6H1Y7p7siIdVD/1zR+Bo8RjZNKGRMBIckytCLCUMpwO2ndTCrAe4tFOwzsdKDJvyXn9ZgIrsMnwVgAzayk7q9KwfAy4z/ixvmVT/dQ/1wMXxjXHL8Vk3v7ESTj99HYvpGVoO6qfWmQVjR2SfBrxTa0Ipx9pWk5TC6h+GgIXFfAo8N6kbYmAnPkcApQ7vUL7bkpOXNnnZvEYHPW+dXpFiHlLmp1VqTVc8rILgA/FfCjVT/3zCLbI/dvcv+seFxI+ElgU86H+f3t3Hi9XUeZ//FMJ2RdCVpJg2BMioGgANxDUEQXGgAgIpYOIjAj+XEaZ0VEYFccF/ak4joDAj0HBgyKLgLLJKggOEAGBsAYIkD0hCWS/Ser3R1Xndi7d9/Zy9v6+X6/7CnRun1NJ+rmnznOeeqqh+DGWecAX3eyzz0t4PBK/pcDexrJNh26fORP4aELHbjR+5gITXcTTCY1D8uc6/Gfvt1kPpFVhu/Oh0Gu13QJgWguH19xNelOpdlgX50FV6VD/SZbWLUmRvR+fHb8/4fMofkoudMg+F98fpFOMxW+TmVgvlKDR+FkBDDQ2meZOkpzwGVqO/0x1FGMZj7+JeTihUzQaP13AwITGIPl0O3BA1oNo0zBgjYvY3Mv3PAPs0cKxNXeT3rwG8S8LVNJB65aknI4DfpnCNpmKn87wa+BQYxma9UBSMhpYlsJ5GoqfEMdPA9MTH5EkYRmwXdaDyMAMYFaC16FGrz8bgAHavrSjzMFv/VfkZN8wYE0f3/MwsJexDGjy2Jq7SW/WQPzzvY7/Aax1S1JSh5PCFmWKn87gIpYDDwLvy3osKRkAdbuFx6bJ+JkF7Jv0mCQRq/GVKp32tH0G/nObiEbjJzwpXg8MSWoski8h0fU3/GewqIbSR9LBRawC5gJ7NnNgzd2kNy5iPb6vQ6xtGDo+6QBbgu9uuhs+HVjVwVWkiBa6iBfSOJHip2NU1sh2gpUpVAkBTcXPLIo9ge5Y4bO0koQ6gufYviSYdGjSahJ4cie5VvRE7VAaS363dG3Q3E36sAbiXdKppAMNbR0jUjSJVzlUKH46xvXAhzqkRLm3buGxaiJ+lHQotsre550k0UqHJq89iZQLS64V9mdmeMLcPzxx7ktLf07N3aQPsSdqO2Hy2Ihet44RKaDUkg4ofjqCi5iDX5u+X9ZjSUFv3cLj1mj8PALsYSyDEh6PJONVYFjoSF96oYnkcOC5BE/TzLUn9qd2knuFTTrQwNKKKg/S2p9TczfpTUOJ2maWDSrp4PW5dYxIwTyY4rkUP52jI5ZYpLBrRbWG4sdFrMV3Kt878RFJ7MJnajUwMuuxpGQG8LeElyk1c+1ZCwzqkEot8SrNJIs4F2mkiWRFq80kNXeT3jRaHdZwZUysDSLyJJQHHYgPniXA3b00SFmCLyuq9bpI4fSxxVKfFD9Sx3XABcDXsx5IXjUZO9Bc/FTWKKeZVJT4VPY+X571QFLQ0tKKpK49LmKzsazDN5NMvEmsZC/8mz8EvBW4OevxNGkoDf6ccBGrjGUusJcxpgvN3SQGLmK9sb6ZpIvY2Mu37otv2tqnUiYdqtYpVVTWKeGce6zGRW0BtQNPW8dIx1H8SC/uByYZyyQXMT/rweRNX7FT9T2txs8DwNuB8+Mct6RmJTAx60GkZCf857VhKVx7KksslHToHHPwn8WiGQgN9XOouIOXf/9x4LWq1zR3k3atBwZBr0mH9+MfRvWprGVmddcp1Wmcsg++PElbx4gofqSOUCLe6vrRTtDrGtkY4ucm4LBO6QtQNi5iA2BaKIMuoonQdGIy6WtPJ+4g0unmU8xE3wBgQxPffz0rZx9R5/c0d5NWdUH961XoMfX+Rg9WykoHel+nVO+iNtE5d16t32ihXFakyBQ/0ptKc67rsx5IDvW1Rrb9+PnAA8sZve/+wH1tjVSyUnnaviLrgSRsEv5JajNivfZAz/jpt5Q3fmWRsd99LuW+LZKdBcBbsh5EM4zF4O/Penu63NMdbFq3AwPHDGXDsp69IDR3k1b1mnQADgYeb/RgZa10qLceqbIXbS01X9eWMtKBFD/SmyJ3BE9ab7EDccTPEz9cxPwbT2prlJKl2Lchy6lWKh1iu/ZArfjZPJ4XooO49d1va3JcUlxFrHTYBtjYTBPWsLXmbEa/dWqN39bcTVrVV9JhJk3sllfWpEPP9Ujj8Y0u9gT2CP/fU72LnbaUkU6j+JHeKOlQX93YMcacSv3qwsbjZ+UTT7HyscNbHqFkrdGO4IVlLNsAY4DFTb41zmsP1IqfjavWsW7xe5sclxTXAnzVTZEMwN/sNWfE7r9j+C7Tql7R3E3aVTfpECpyPkQTSYdSLq8IDVPAB8eewBTgRWApPtHyxvCt1RfEeo1TGsoOqgxJykLxI32Yi996bqKLmi6fLrU+YmcCMDZ8a8+bscbjZ+Vj8+laOcJYdnMRzyp2Cqf0SQf8Z31ZHx3PXyfmaw/Uip+Nr65n8LiJxmJchFP8lN4Cilfp0FrSYed/upBRb/oaz1+6jE1rpqG5m7Svt0qHN+MbTT7Z6MHKWumAc+6xsE7pcXzjs0qQLQZmA6NorHFKX+WyKkOS0lH8SD2h5FPNJOvoJXYI/72Uxht31Ygf59jc9QjwIcVO8XRIM8lWllYAsV57oFb8bO7aRL9BS4Hhip+OsBAYV7Dmuy0lHVzEUrZ788Mcu/pZNHeTeGygftJhJnB9M8uASlnp0EOtbN1iYKFz7qwG3n83W2/hVP16RW9lSMr4SZEpfqSWWfiyzT9kPZAcq/ekaGNvje96qB0/w3a6HDgWWFfnfYqdfCt7M8mJNN9Esqd2rz1QL36G73IH/uZL156ScxFdxrIcv7SgKJV5rVU6eNfiP/Nza/ye5m7SrJqVDmFpxUeALzRzsNJWOlTpM1vXm5AFvJLen0w13eBIpCAUP1LL08DOWQ8i59qKHagfP+x+6kXAdIbtPK3OWxU7+bYOGJj1IBI0FFjV5jGSi58Dr74PGA1G157OsAoYkvUgmtAP/3ltxWXAUQwaVy/+NHeTZmymdq7g7fif839u5mCdUOnQSLauVyHI+irhm1DndZEiU/xILUVszpW2tmMH6sePsVzMDkfsy1Pn3FPjbYqdfOurI3jRDaC57f5qSTp+1jB4/GrWLRpR422Zx4+xHAd8Db8OfzbwXRfxm2xHVVgbKVa8GWi8ZL2ai1hoLDex37njuOeY9TW+pSPmbsYyGtgeGIxP8i50Ea9kO6pCcvjPY0+nAee5qLnkWOkrHRrM1rWrXhA3dXEUyRvFj9RRxOZcqUohdn7BzifOoP+QWpNpxU6+lT3psA2tl4cDqcTPEqYc+3Sd38s0fkLC4XJgb6B/+PXy8Lo0r4tiPWRtOekQnMsbjv4wZpuOnLuFhMPO+OoWE37dObwuzXld0sFYxgH/CFzS7MGKFIQtq5Wti7Pjao+Oy+rgKqXSM36MMXuF7f9i+awrfgppPqp06FOS1x4X8byxb/4L+1+4lvs+vqzd40mquij38optgE3tHiThudtKZvzXCyz80wJefXK/GI4Xp6/Vef3fQdUOLeiYSofgHqCL47rGu4it+gd1yL3P9r28rmqHJrgIF/o3VDsJuKaVypGOSDr0VNVxtaLScZV2gg81TpGSSyJ2QPFTQMuAYcYy2EV1mxlKDwnEz7ns9LFvuXs/tl88I5SUlL3SoZ0bprrijJ8wmV7K4U8M7HljlgNvbPJ16Z2h9R4JhRM+2+fiS+Bvr7zeQfc+g5t8XeromXAIu8B8BjimleOVfnlFHb11XBWR+hQ7Utk2cyH1nyhIbXHHz83AGGNR0qFYyp502EgyD7Xijp+lwHY53E5xdpOvS++2of0eI2mqt46+GZcB7zWWyVWvdcr8rd6DED0gaU11EvmDwBIX8WArB+rUpIM6roq0RrEjFWom2bxY48dFbALOB/5PyyOS1LmIjUA/Y0s7B0uqnD3u+OkCVgJjWh5RMr5b5/XvpTqK8oijsWma2k46uIjX8H1BTql6uVPmbwubfF3q67nU57PAua0erKwXvL60vRWTSIdS7EiFKh2al0T8XAQcbiy7t3EMSV/Rmts1I6lKjiTiZxGwfZ4SQGGXiuOBv+Nvlv8OHK/dK1rWiZUOAOcAp1U1UOyI+VvoNfA8sBb/d7kWeF67V7RkS9LBWN6Ob2r721YPVtYLXl9i2YpJpAMpdqRiLTAo60EUTOzx4yJeMZYfA/8JfLTV40jq6u1/XgavAqMSOG4S8bPGWFYB48nRk9CQYFCSIR7b4StaimITtL/kx0U8YyxX4RuQ/isdNH8LCQYlGdq3DbAp9Hb4PvAtF7G2nYN1nBx3XBXJtTLFjvZBb1tS67ZLK8H4+SnwjLHMcBGz2jxWQ7QPeizieJqZR/NJYEvdBONnPjDNWJaGpS9SEsYyFP8zqkg/m7qIr+nht4BHjeWnZZq/SWoG4D+PH8A3Hr2knYN17IQxpx1XRXKvDLFTtQ96RWUfdJR4aJiSDi1IIn5cxGpj+TZ+zfchcR67lqp90Csq+6CjxEPD4iqhzqPE+r0kFD/rjGUFflI9L85jS+Ym4hOiieyokpDYttR1EfON5QLgm8DJZZi/Saoq/VC+D3y93aSsJowNinNvW5FOk8P40T7o7duEriGJayJ2LgK+ZCzvcxG3JTws7YPeviLdBDVrGTA8D1vqNhE/84E3GssSF7EhzTFKoibik2BFEndPlLPxlXA/chFPNPPGHM7dJF0DgEOB9cA17R5ME8YGGGOOBE4GhgGrgReBCe3sbSvSKXIaP9oHvX398YkHSUiY8J0GTKE7fvY2xpzbM3ZcRJexnAF831j2T/jJnvZBb19ZqxxwEZuN3dJo9oWsxtFC/CzF36TOTX2wkpSJ+IRSkcSadHARK4zlh/i+Px9p9H05nbtJuoYCXwY+GcecoqxNjGITLlonA8Pxk4Th+BuT8ZRvb1uRWOU4frQPevuK1hG8iI7Fx0vP+Dm2zvf/Dn9dPz7hcWkf9HiUudohD1vqNhs/C4FRxjIkneFJCiZRsEqHhLbU/Rmwf9iBoE85nrtJuk4A5riIO+I4WOkrHWIoDToQn+XraQo56nQsEreYyuryGj/fZeueDhXaB71x2+CfyEgNMcXPW5p5PTxh/izwe2O51UUsbvJ8jVrI1j0dql+XxvTc/7xs2mommVH8bDKWecBOxvJkwfoASG1FrHSA7mqH9a28uVb8cLz7d+AXxrJfA0uI8jp3k5QYyw7AF4HD4jpmqZMOIeiqt4eZABxdXRrUwIVtHL6saHiPww+jZHvbilQ0EjtV31e4+HERvzEW8D0cKrtXfE9NJJsyGLT2uZYY46dpLuKvxvIr4OfAMe0cq5dzvBLiR7tXtK4f5U46tFzpkHH8LDWW7cI5dXNVfJOAp7IeRAtaTjrUix9+M+BKjut6ETgD+I8+4ieXczdJR9gi80Lg18AjcR231EkH6pcAHQg81uCFbQl+HVPPtd6rqbO3rRqvSAn0GjvQ8MQwt/GjfdDbtj2alNcTV/w8BLy7xnEeqndiY8xebDP8ZXY/7ZPmDXMu5OWrfppQ/Ggf9PZUtiIrq2eA6S2+N9v46Tf4YIbvNN0MePkpNq66XfO3QpsOXJD1IFqwDp/QXdXCe2vHj9t4IHAK8LDZ64xHgT2rfrdn/DQ9dwPd/5TIifg53n8Q48Olsvd0GNfH671d2CruBhbjn4Suwj+ZWAVcVCuQqi6EE/B/v5VA3qvp0Ytkp6/YAcVPpytiV/C0xBU/V/D62JkdXn+dLfGzcdVo5t94LSOnHs+gsZ9Q/OSLsWwDbHYRm7MeS4IeBGa0+N5s42fzurGsW7yawROmoutPYRnLQPyN9cNZj6UFa/BN/FpRN35cxHzgdAaM/An9BvSv8T2V+Glq7gaav5VFWFbxA3yCao2L4msYXvZKhyX4D32t16GBC5tz7jFjDPhAXEjfmbs+M/QiBdBX7IDip2OF0rvtUdKhnjjj51waf3LUHT8rH32ZUXs9wg5HHcacC55D8ZMnZa9yAF9NsJexDHBR03/W7ONnwytrGDByMIPGDWf9El1/imlP4HkXtVQtkLU1wOgW39tX/FzK6rlfY/KR7+al3/VsEDgOWpq7Vb633uuKnwKoWlbxM+A5YEScxy970uFuti6/q34dGruwVUqNGg2YRjL0InnXV+yA4qeTjQbWuoi1WQ8kp/IRPy9dfQdTP3cKE977HuC8Bo8hySt90sFFrDJ2S3l2s2uC8xE/a+etZNguY9n4WssNMSVTM4BZWQ+iRWuAIcZiWmho2mv8uAhnht9wCTsefyYjpz/Jq09UPzzYEj9Nxg5o/lYGJ+IfKH0PX826Os6Dl3p5RQiYK4FFwObw65VVmbp665LqrldqQL0GK2q8IoXRQOyA4qeTaWlFL3ITP5vXb2TBTb9n8sxDjW15fb3Er/RJh2AWLSyxyE/8dG1i/eJXGTkdY6lVii75VtikQ1h6tQGa3761ofhZ/cIfWPbALUw67Ej6Dx1Q9XbN3zqUsewCnA2cGKrThuKTX7Epe6VDr5m6HuVDcTU9aSRDL5J7fWW5FT8dbRLF3IYsNbmJn5WPzWPQ2LOB64xlfxexvI3jSzw6JelQ6etwcbNvzE38bFi+lomH3gPsYizPahvNQpkBXJb1INqwmhZv/BqKn34DzmTMfhey8wlH8Owvfg5O87cOZSwjgOuAs1zEI2GZxRCUdIhXC+VDfR4vgQuhSC4pfjqWKh1ikFr83Puxx4xlNPBbYznMRWyM65zSkgF0xnazs4Djkjp4WvHDO3/9OLA7MBl4Oa7zSXKMZQDFbSJZ0U4zyT65zV2PGct7gDvZ77yxLmovljR/KyZj6YdPzt2L32obwpbocTc77vikQxLivhCKdBLFTyHsBjyf9SDk9XqJn38D/gj8EPiXVAclPQ0CXst6ECl4CNjbWAa6qBhJlnrxYyzPAXsYy1oXsSz9kUmT9gJecFG8a9JTtgYYk+QJXMQ6Y/kwcL+xPOYirmnreJq/FdFZ+D5dx1RVcg0j5ioHKHlPBxERScS+FHStbKcK1Q3HAYcbyyezvTKyfAAAH61JREFUHk+Hi32tbB6FXQMepX5X+8II8TMH2MFYhmU9HunTB4Dbsx5Em1YDg8IWu4lxEQuAo4ALjGXvJM8l+WIsHwU+DnykR2J4JAkkxpV0EBGRhoW1foVt0NXJQj+HI4CzjeWdWY+nE4Wyb1OUJ/8xuA6YmfUg4hB263kB2NVYBmY8HOndTPxnr7DCU+dXgW1TONcDwBeAa41lbNLnk+wZy1uB/waOdBGLq143+KTDyrjPqaSDiIg0YwfAAfOyHog0z0U8AZwAXGMs+2Q9ng4Ue9mqsbw7zuPF7DpgZpjIFp6LWInfDWD3pJ9AS2uMZQJ+q9a7Gvz+PN9krwRGpXEiFxEBvwWuNJZBaZxTsmEsE4FrgM+46HV9T0YA68IOFrFS0kFERJoxA5ilLu7F5SJuAk4DbjSWPbMeT4cZSox7nxvL2/Hb4+XV4/gk5V5ZDyQuLmIRsByYqsRDLh0O3NJINZGxjME3Rs6rlcCI0OwvDWfgG0BeEaqypGSMZTxwG3Cei7iqxreMAlYkcW79sOyFMWYv1IVVpCWKn9Kagd8KTxKSRuy4iKvC06xbjOV9LuLJOI8vdQ0FlsZxIGPZF7gW+EQcx0uCi3DGcj2+3P3RNM6ZUvzMD9UbuxvL0y5iU5zHl7bMpIFEXNjRZzLwdOIjapGL2Ggsa/FPn2Mvd69xvk1m6KTvsOunf8m6hQ+Zfhefh+u6S3O3cgif+T8BV7qI79f5tm2BZ5M4v5IOdYSLVvV+sxOAo40xVAefbqxEXk/xU2r7AudnPYiySjN2XEQUnmbdbiyHtLtlmjQkliaSxvIOfMLhZBdxY9ujStZ1wHeB7yR9opTjZ15IPEw1lme0FW32jGUI8F7gpD6+bww+4fCMi1iXxtjasAJ/I5h40iHExZHM/t517Hry8ex8wik8f8kEzd2Kz1i2A24OX9+o8z1DABf618ROyyvqq9dtecvrVRe3Cfi/y8rFrTRlhCItUvyUUCjx1M4VyUo1dlzEL4EvA38ylrc0P1xpVGg+2HYTSWM5CJ9wOMFFhWiW92f8jXkaZexpx8/L+GZ/U1WOngvvAx5yEa/U+4bQw2Ey8HRSN1cxS62vA5U42bxhE8/9z2/pP3gYu5x0FP0GHlT5Bs3diid85m8H7ga+0svy2FEkmNxS0qG+cfVeN8bsZYw5FfgefgI+vsf3FH57KJE2KX7KaQawNEy0JRl1Ywe2TPi+BhzE6+OnpdhxEZcDnwVuMpb3tnIMachI/A1qy4zlSHzp+HGhN0fuhYZkNwAfSeF0qV97XMQ8fI+HacYyuJVjSGyOwSfkajKW7fE9HJ4qQIUDAGGcm4xleAqn646fTWu7mHPR5ZhtBrLLp/6PGTblLZq7FU9orHon/mfwl/vox7UdCfVzAC2v6M0SfPZuPDAF33F6NfAS3aV7wwGD75ILbNlypN5FTyQVxmIybvSn+Cmnwm9DVgCV2IGt42eBMeZIYB/8pNngY6g6flqOHRdxtbGsACJj+TZwrpqFxm4U1H8C25tQxn8G8GngsLDFXZFcBPzMWH6e8OeqXvysAbbHx0ns1x4XscBYuvCJh+dd1F5ySZoXlkzMxFdu9fy9fsCOwGB8wqFoW9YuBcYCqxI+z9bxs3n9FJ49fz6j95vGmLdfy4aVv2bjq5q7FYSx7Ab8EbjURfxnH987HOjnIl5LajyqdKjvbvwFaz9gKrBT+HU/urN71R2op1T995IUxifSm6zLpBU/5dQRSYcUO4XXcnf4dQ/gH4A98aXA/YCT8fHTc/eDSvy0FTsu4nbgncCpwPlhOYDEIHymhtNC6aqxDMNvZXc4sH8BEw7gn7T1J/mnofXip7KNYs/4ie3a4yKWAnOAncLTRUnXicD14d9hi/BzbFr43yImHACWAaNS2C2lRvy4Sbxy/zxWPtqPHY78DNuMrP5+zd1yylj+AfgL8JO+Eg5BpT9HYpR06KGq/O4o/BZP44ABQBd+sjAGtmwx9mLVW4dV/ffdiGRrZhYnVfyUl7HsCEwC/pr1WFIwsu9viV9Vc66p4dehdMfO9nQ/uX2xx1sr8dN27LiI54B3hPPdGrbXkvaNBNY0u8tBiLt78E/qD3YRC5IYXNJCdcO5+K1aE9FH/IzBx0nP+In12uMiVgFPAmOMZadQoSIJC0m9U/GfserXh+FvoJe7iOddxOYsxteu0KR0Bb7aIRF9xs+rTy5g6b0vMeWYtzFo3HbhbZq75YyxGGP5PHApcKyL+m78HZJZ2xLTzkr1KOlQpU5zFPD/CPPx2fEu/GQMfEnRbHy50ypgEXClOrhKDqSedFD8lN6HgD92yNZw26Z9wh7xMxLYAGzET/gqT2aH4Cd51bHjgAXEGDuhvPLDwF3A/cayTxzH7XDb0uRaWWM5AJ/kuxT4ZFHWoPfiV8AHwrr6WDUQP134f4Oe8RP7tSc8SX8Sfx2cpgaTqXg/vl/K/1ZeCMstdgPmuoiFWQ0sRkuAsUkkshqOn1XPLmP5337D5Jm7MWLaODR3y5WwDfaF+KrId7qIuxp861h8Yi7R+Z16OmytXtnftnRP+lay9VOwxeFLASd5MsVYdki54Z/ip9xm0jlbZaaedGDr+BmGn+QNZOv4WVv135XYgQTiJzwRPNNYHsXvbPEN4PyiPinMUrhJGAWN3fiEp06nA1/C71BRiIaRfXERK43lCvyEuJFy32b0FT8r8RPrnvGTyLUnxMlzYceO6cYy10XJb3nYwU4j9KExlv7ADsAICtQwsi8uYrWxbMLPoeL+LDUeP8sfepF1iy9gykePZ/L5TzPh4ItdxPqYxyNNCku6rsYngd4Zqq4aeZ/BVyXPSXB4gCodeurZBKUyQRiAD8JJ+KBbiP+724wyfJJPN5J+tYPip6SMZVvg7cAtWY8lJRtDWW6aquOnMsmD7tjZEV/pcAs+blKJHxdxBX5CegJ+ucXOSZ2rxIYCXY1MzI3ljcC9+PXU+5cl4VDlPOCUBNam9xU/Y/E3Ui+R4rUnLId5Hv8gYMdwQywxCkuQDgAuN5aRdDc4fKIsCYcqbTUM7kVz8bN23tMsvPlDTDh4E3CnseySwJikQcbyLuB+4E/A0Y0mHIKR+OvTmkQGV0VJh631bKDxeHiti+51VEvD65uBq51z5+mGSXLot/ibhDQpfsrro8BtTV7Iimw5fg14mqrj50X8xG8VviKx0hflcWA0cLdz7qy04sdFPAm8C5/MvN9YTs242WbRjMF/puoylm2M5av4JS3/D3i/i3ghhbGlykU8jP98HxHzoRuJn7/hkw2pXnvCcqXZ+KVQbwxJXInPqcBl+HnGjvjlFHNLuhRwOTAslNHHqfn4WfHYA8Cx+C187zeWz+q6kC5jGWosPwZ+B3zeRXyzhWrE8aTUBFQfjq31bIKyGHgAeAZ4AXg6/H+lpFV70kpe3QhMNJYZKZ5T8VNCofTus/Ro0FVyS4HRKT+VrI6fyppzB8zFJxtuxa8Thwxix0VschE/BN4NfAJVPTQkfIZG00uDrh7VDfu5iF+UfLvSs4FvxhxfRYifF/HXwimhyaSqHtoUSso/DdwQXppd5u1Kww3lEnz1QZxaih8XsdlF/AhfafJx4DZdF9IRqhsexm+h/SYXcW0LxxiO30a216R4XJR0qBKy3leydenqufjGNHcBD9J9wwTak1ZyKmT4z8c/AUjnnIqfsnoHvqz/tqwHkhYX0YVvSjY6tXO+Pn4excfNDeQodlzEE2xd9fAlYxmc1XgKYAzwavhMbcVYhodeGaWubqjhenz59sfiOmCB4qdS9bAZX/WwXR9vkTpCg86zgT8C95W4uqGnRcAIYxkS1wHbjZ9QDXdA+P4HVPWQnB7VDV91Ecf33Ca2CZOB+Wn1ajLOlTmZHo+wBWCtPZcXOefOS3s8Io0IW909BezionSymDXHofgpNGO5DJjlIn6S9VjSZCwjgDe4iNmZjSHnsWMsewA/AN4MfAO4tEMm/Q0zlj2BF8PNZuW1gcA/A2cAd+InjnOzGWE2ws4clwHTkmpCV4D4GYFveAgwr8xP6OMUKkS2x//c+TWwh4tYlO2o0hXmdyNdxLOJnaPF+AnXhf8B1gGfCtswSwzCz82LgVnA59pINlR6dU3G9z5JJRmgLFQfwjYyE4GDgH1hqz3LtSet5JaLWIzPOn8iqzEofootTGwOBy7JeCipCzeJJpQfZmUBPm56xk8uYsdFPOkiZuKfWJ8MPGIsM5PY0q2Iwk1l5bOEsfQzFgs8gd+C9rDwlKqjEg4ALuIe4DHgMwmeJu/x81qoHFqIX3IxNYMGtoUR4mcCsBe+18DHgXM6LeEQLAGGJHV9amfuVqPq4Udh+1JpUfjZcAW+X1u71Q2VZbOVKofUqg+UdOhF1b61m/GTBIDp+L83ddyXIjgXOC2LMjfFTymcBFydZaVMxpaw9WQrNSF+9qG7qdcwYArwcN5iJ9xAHgh8FfgOcI+x6tmCL0NebCzGWA7FN2L7AnCyi/igi3go2+Fl7t+Br4UdB2JVsPhZjl83vxzY1Vh20ZKlbiF+xgJ7AsPxFZyjgPcCP85ybFkJN4rz6a6UiU0cc7eqHkB74ZdnPmUsX1dSrTnGMslYzgf+AjwETHURV8dw6NHAJhexIoZjNSzuLYvKpnrSVL0n+qK8XbRE6rgXWAu8D7+VTpoUPwUWSlg/A3wk67FkaBkwyVgG1FqTn7BK/FTHDvinT7kTJsF/MJYbAQv8ylhexic+r3IRGzIdYMrCevPxwMHAafib3q8D15S8SWTDXMSjxnIz8GX88pw4FTF+lhjLMvznZpqxrAKWdOqyi7Ct6tjwtQF4zkWsDr/3XeA71cuWOtArwARjGRXzzWNsc7ewZexpoQfBt4FnjOU/gQszuKYWhrGMAr6Cb5J6MX4J0bKYjm3wjUifj+N4zVDSoXf1mg213YQoZBIPDMdagt8CTTdiEisX4YzlHPzTpFtTnuwqforNAi+7iFlZDyQrLmJTuAmYALyc8ukLGT+hp8OlxvIbYCb+hvsnxnIRcEHo4F9qxrI78K/4p4X3AmcCN6fVrKtgvgE8aCznhxuUuBQ1fjYDC41lMb4J6Q7hJmEJsKwTeqaEp+Hj8NUMK4DnK8mG8PsHA28EjspkgDkR5nfz8J+RlTHO72KPndB74nhjeStL7/0vlt73TTPxpj+z+J472bzuTs3fvJBs+DRwOnAdsI+LeCnm04wH1maxBbqSDr1bQu0mKm3tZ1pVulQxATjaGIMCTxJwKT5j+gHgphTPq/gpqLAH+FnACVmPJQcW4rvML075aX2h4yc8xboKuMpYpuOrZh4ylrvx1Q+3lukmPDyVPRyfZHkL8AfgbS7imUwHlnMu4vlQPnyusRwV441T0eOnsjXikrBufxy+6mo5vvphTVznyoOwBHQ0/s/ZH/9nf9lFbOzxfUOBC4EvJdWAtEhcxEpjGYdvrBlX0i6R2AHgcrMBuJXRM55lzDsOYvR+H2TVnL+Znf/pLPf8pbe2ffyCMpZ98NeOY/A7Qx0U+r3EfZ5B+M/KU3EfuxFKOvRuAX4SMQy/JvBFfJlRu02I6q11PRDfWEkkNi5io7F8HfiesdyS1kT/f05h1wOn8emdxjH8hSWsuugO/vr967kXxU8RnILf7zwXDdey5CK6jN2yL/oLKZ66NNefMHn6Qvg5dDx+m7vtjeV6/NOc21zE2iTOnaTQKPIQfEXHYcCzwM+BzwOvuYj5GQ6vSM7Cd2M/HojaPdhdZ5rT5/03/zphW8b1uPZAMeNnFbAqLNkZg+/7sBm/7egKYHURl+yEP8+24WsEsIq+d/H4DvCAi7gmhSEWxYvAdGNZEdPP0aSuPVCJn1dmvcArs15g+K5jGfuOfRm93++N5VZKmJCuJ/RtORqfbNgB+AUw3UUsTPC0OwILXcS6BM9Rl7bMrKMqmz0e33yoEnwXOed+3+ax/4PaTTw3O+fOaufYIrWE8sy/4js9X570+e4605x+0HR+2PP1S/7Mj048353ezrEVP8kKN1LPAIe4iL9nPZ48CP0t9gKeSuNi3QnXn7AE4UPh663AHfgExB/z3I3eWHbAj3km8C7gPvy4r3cRLxrLEGAq8FgnlMLHxVj2Bf4IvLmdSXe9a89ZV3P1N67iG+1WI+Qofobilx9sCwzEJyBWAq/m+XMXbrRGha/BwKv4xMmrPasaarz3AOAKYO+41reXRWi0OQ54sp0EVJLXnnD82vHTf2h/jl39Iv4GfARwHvAbFzGv3XPmSZiLT8dXkZ6Ebw55Lv661+vnP4Zzj8MnLZ/KKkmppEMdce3vXGvtX/j/3O4dLeVkLO8BLsJnUhMtE198vnl5/Egmv+71V5k3/jOu4W7Lip/0Gcs3gV1dxD9lPZY8CVu1DXcRcxI/V4ddf4xlNHAo/kb+EGAO8AD+6fcs4PEsGlGGG6S9gRnha3/8NmM34BMNt/R8KmssuwKr8pw4yavQHHA6tL7MIslrj3PusbhiM07GMhCffBiFv0lci79RXAOsyeyppk/WDq36GgYYfJJhJb4aqKF/55BkeQT4N1U51BYSuava6Y2S5LWnkfgJN+Vvxy/H+xDwHP5n7XXAIwWu6HkX/vo2E58k/B1wflrL78Kyij1I6cFJPVpeUV/bjVTqrf0DHqZ20HV8KbMkx0XcYSzPAifjM6uJGTu8dofwMXVer0Xxkz5jGQ98Dr8vt2xtCTDeWIZVNzVLSEddf1zEK8CvgV+HG6j98Df5BwL/AuxkLLPpTkI8i98ubgFN3LjUEia52+J3NZiEr1KoJBmmAU9XnfdC4G/1nkiFtfdDyaAreEl8izaXWSR57THGgI+To2u8Lcv42UB3/4f++Jv7SiXEpNBvpDoRsQHoArriKGMPxx8QvobQnWQYWHXeV/Fl3a2W/2tZRd/m0v4yi8SuPY3ET/hZfh9wX7hZPwCffLgKGGCsryoD7sxzTw9j2Rb4ID7JcCjdyZOjySZ5kumyigpVOtTRTLavlYwe3U+c1H1fUmMsb8E/pZua5FZTzTxtUvzkh7H8DHAu4vNZjyWPQgnrGBcl24RJ15+thW72+9CdDNgJnyCYBDh88mEBPhGxCFiHv6naCGzCN6YbgH/QMgTfSGsS3YmGLrqTGM/RnWT4ezOTd2OZBixV6Xfr2l1m0WylQyvVQEXbPSkkBaorDgbSnSTYTEhAVH25qi/w1QmVr35V7618bap67zpChQWwLo6bKy2raFy7yyySvva0Gj9VyxJm4pMQbwIepftn9YP4P3OiSxTqjG1IGM+Mqq/dgD/jEw1/cFHqu19Vjy/zZRUVqnSor6Fsdh8ZvboZwxBgub1ISTm5iIeM5QbgB8CpSZ3niXmcM37k69fVPjGPc8ZX/b/iJz+M5R34f4s3ZT2WHFsGjDOWsS5iaYLn0fWnSqgs+Uv42iJMREfQnTyYiP87GARbnr4Owicf1uJvitbjt7GsJCkWxLF1WJjs9wNeafdYncxFPBi2V73EWA5vtj9Bo9ce6LUaaCzUjO9xAAWMn434SoPXNWjsUaVQScxVJxlg6yTEZuA1fCxtADYm2fQvLL36JfBZJRz65iKWhm0XJ0FL/RASvfZAa/ETbpZnh6/vh0qCt+Bv8A8B/h2YbCx/JySM8X/+ys/5Je18TkPVxfZ0X2vegE+E7wvsjt8NopL8+AU+YZ1pVQFsSYhMIgcJB1ClQ68aycb18TSJer+nteeSlXBBehQ40UXcltR57jrTnD59Ml8cM5yJy1ax4Il5nHPQt93/3Wosip9cCBemh4AzXMSVWY8nz6oaBT6RZJ8BXX+KIywJmU7G62XLIkzwbwYedBH/1uz7G7n2QK/xMxW/rKYnxU6KQkLkRvwN3JezHk9RhL+36fidQJpOghb12tMjEbEnWyejR+F34NiShKC7Gq4Ln0zrz9bJ6uokw6jwnsr75+F7jMwCHs3jz/3wOdgDmN/K5yAJSjq0qbdOxsDV1M4YXpnnUjwpP2M5FN8deO8kl1n0OQ7FTy4Yyw+BHV3EsVmPpQiMZXtgRFpNoOqOQ/GTC6GB22sJb3XWUYxlDHA/8A0XcVki56gfP/UqHRQ7KTKWc/A3Tf+YRdl8kVUlx59xEWtiP37Brj0hMTyB7iTEOLore7bBJxw2Vn2txydQKsvuluR5V5ieQhXg7vhGspkt7ehJyyvat4TaGb0lYW0TFGjtn3QGF3GjsdxOwsssGqD4yVhYVvFxtKyiGYuA7VJYZtEXxU/GwrKK/qDdKuLkIpYZyxHA7cbytIu4P4HT1IufxylY35OyMZZP4RvwvU0Jh+a5iLXGMhfY1ViedBFdMZ+iUNeeUJX4UvjqBG/AJ4ByteWoKh3aVGNdU4Uy4pJraS2z6HUMip9MaVlF69JaZtHrGBQ/mdKyiuSFxMPPgf1dxPxYj634ySVjeRdwDXBg0k17y85YJuJ353k6zt4bip38ConwCfjGmrmqzqhVGiNNCMF1Jf4px+bwq4JOcs9FrAA+DVxkLCMyGYPiJ2tn4dfLKuHQpLCrwSL8VlTZjEHxk7UdgUVKOCTHRVyLXwp4jbEMjvXYip/cMZYpwO+ATyjh0D4XsQDf8HNKrMdV7ORS2LZ5MjAnbwkHUKWDSMczlguB4YDNQ3dbSUfo63ERsI+LWJL1eIoorJucBqzQev7OEvp6jCInXcHLLMTZ5fibm48nuVuCZCc0ArwDiFzE6xp/SmuMpR++N8Yruk6Vl7EMws9HXnDR63eqyQNVOojI54Fdga9mPRBJh7Hsgd+G7BglHFoXbjafA8aHCbN0gPBvPR54TgmH5IW/45PwTeB+EW6ipETCE9ob8NvZ/ijj4ZRKSNI9C4w1tu52llJgIeEwFb9TRS4TDqCkg0jHC2XiHwY+aywzsx6PJMtYtgOuBb7qIu7NejxFF/o5zAF2irv8W/In/BvvhC9fzaSXRycKHfj/Eb8V3k9D9YOUgLEMBa4HZgOfVyIvfuFn1TPA9mHNv5RE6C20O36pX5aNrfuk5RUiAoCxvA34A3Cwi3g86/FI/MK+zX/ANxj6YtbjKZOwxd9E/N+tuq2XUNW+5wtcxLKsx9OJQpXJrfjdJb6sG9RiCwmH3+N7ApyYx3XoZRKSplOBefoZVnwh4TAVv6Vn7ndQUqWDiADgIv4X+DJwXbiBkvI5G7+93+lZD6RswgRuBbCznsKWT/g33Rnfv0OT9Yy4iJXAIcABwH9rqUVxhSUVf8QnHD6phEPyQtPbp4HJqngotqqEw9IiJBxASQcRqeIifgVcDVxhLAOyHo/Ex1g+AcwEPqon8Ymp7Im9Q6ajkCRU/k1zte95J3IRy4H3A/sAFxhL/4yHJE0KFSs343sNnKhrUnpC4uEpYKKxjM96PNK8qqaRi4vUHFRJBxHp6avAOuBiPUUqh7BTxQ+AI1zEK1mPp6yqGkuONJYJWY9H4hH+LUeixpG5ESoePgDsgk+SD8t4SNKgsC3mncBDwCmqcEifi1iPTzyMN5bJWY9HGhd+1k3DL/NbnPV4mqEbChHZSpgAHAO8AXUKLzxjeR9+p4ojXMTsrMdTdiF+ngHGqVN48YUngeOAZ3RzlC8uYhVwKPAq8Bdj2THjIUkfjOUA4K/AZcDntP1pdkJzySeB4cayqyqG8i8sfd4NmJv3ppG1qJGkiNQU1lveDPwNdZQuJGM5ELgKONpF/Dnr8XSSsN6y8jSicJMDgbDmeSLwlHaqyK/Qb+MLwFeAY13E3RkPSWowlk8B3wNOcBE3ZT0e8UL8TAGG4XflWZ/xkKSH8G80GRiF/zdam/GQWqKkg4jUFdZd3gI8iJ5KFIqxvAe4AjjeRdya9Xg6UdXe2QtdxJKsxyONC1Uq2wNPaxJeDMZyCHApcKaLuCDr8YgXdn35MX45zEwX8VTGQ5Iaws+8icDzLuK1rMcjXqhA2QUw+CV+he1/oqSDiPTKWEYCN+DX/31aJcb5ZywfwE++j3URd2Y8nI5WlXhYVLT1l50qLKmYgBIOhWMsuwPXAbcB/+IiujIeUkczltH45PdG4DgXsSLjIUkvjGUEfpeeBUqUZy9scborfgnZy0WvOFbSQUT6FJZaXAcsBE4K3Y8lh4zlKOB84EgXcW/W45GttrZa5iIWZD0eqc9YJgJj8AkHLakooFChF+Gbf57oIuZkPKSOFJb3XQJcA3xFDyyKISTKdwXWAi/q3y0bIWH3BmBeWZZoKukgIg0xliHAr/Bbxx2lm6d8CQ0/zwD+GZ9wmJXxkKRK2IJ2N/zOMHO1VClfQvzsCAwGntUT8mILJclfAL4GfAv4uWIuHcYyFPgucCxwqou4NuMhSZPCz8PJwHb469XKjIfUMcJcYQowCHjBRazJeEixUdJBRBoWmtlUbmyPchEPZjwkYcsWSpeghFCu9bixnaMn6fkQKlF2RQmh0jGWacDFQBfwKVU9JCtUN1wM/C++AbW2aC6wsNxiR2AV8JKqHpJVVd2wBL/EpVQ36Uo6iIiIiIiIiEgi+mU9ABEREREREREpJyUdRERERERERCQRSjqIiIiIiIiISCKUdBARERERERGRRCjpICIiIiIiIiKJUNJBRERERERERBKhpIOIiIiIiIiIJEJJBxERERERERFJhJIOIiIiIiIiIpIIJR1EREREREREJBFKOoiIiIiIiIhIIpR0EBEREREREZFEKOkgIiIiIiIiIolQ0kFEREREREREEqGkg4iIiIiIiIgkQkkHEREREREREUmEkg4iIiIiIiIikgglHUREREREREQkEUo6iIiIiIiIiEgilHQQERERERERkUQo6SAiIiIiIiIiiVDSQUREREREREQSoaSDiIiIiIiIiCTi/wO331qMkAZW2AAAAABJRU5ErkJggg==\n", 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Center is [-0.13353149 0.21879144] and radius is 1.117551252083118\n" ] } ], "source": [ "X = noisy_half_moon\n", "XtX, Z = init_ingredients(X)\n", "\n", "grad = partial(neg_lagrangian_dual_gradient, XtX, Z)\n", "show = partial(show_updated_ball, 5, find_limits(X), X, XtX, Z)\n", "\n", "mu = frank_wolfe_optimization(X.shape[1], grad, tmax=15, show=show)\n", "\n", "print('Center is ', center(X, mu), ' and radius is ', radius(XtX, Z, mu))" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Center is [4.04108811 0.71688388] and radius is 5.356409209567266\n" ] } ], "source": [ "X = blob_with_outlier\n", "XtX, Z = init_ingredients(X)\n", "\n", "grad = partial(neg_lagrangian_dual_gradient, XtX, Z)\n", "show = partial(show_updated_ball, 5, find_limits(X), X, XtX, Z)\n", "\n", "mu = frank_wolfe_optimization(X.shape[1], grad, tmax=15, show=show)\n", "\n", "print('Center is ', center(X, mu), ' and radius is ', radius(XtX, Z, mu))" ] }, { "cell_type": "markdown", "metadata": { "scrolled": false }, "source": [ "## There is Convergency" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X = gaussian_blob\n", "XtX, Z = init_ingredients(X)\n", "grad = partial(neg_lagrangian_dual_gradient, XtX, Z)\n", "\n", "tmax = 4000\n", "centers = np.zeros((tmax, 2))\n", "radii = np.zeros(tmax)\n", "distances = np.zeros(tmax)\n", "\n", "def remember_distances(state, t, eta, grd, s, mu):\n", " global centers, radii, distances\n", " c = center(X, mu)\n", " r = radius(XtX, Z, mu)\n", " d = distance(X, Z, c, r)\n", " centers[t], radii[t], distances[t] = c, r, d\n", "\n", "\n", "mu = frank_wolfe_optimization(X.shape[1], grad, tmax=tmax, show=remember_distances)\n", "\n", "\n", "ts = np.geomspace(2, tmax-1, 5, dtype=int)\n", "\n", "axs = init_plots(len(ts[:-1]), find_limits(X))\n", "for a, t in zip(axs, ts[:-1]):\n", " a.set_title('t={}, d={:.3}'.format(t, distances[t]))\n", " plot_points(a, X)\n", " plot_circle(a, centers[t], radii[t])\n", "done_plots()\n", "\n", "axs = init_plots(2)\n", "\n", "axs[0].set_title('t={}, d={:.3}'.format(ts[-1], distances[-1]))\n", "plot_points(axs[0], X)\n", "plot_circle(axs[0], centers[-1], radii[-1])\n", "\n", "axs[1].set_title('Distance over time')\n", "axs[1].set_xlim(ts[0], tmax)\n", "axs[1].set_ylim(distances.min(), distances[ts[0]:ts[0]+5].max())\n", "axs[1].set_aspect(aspect='auto')\n", "axs[1].set_axis_on()\n", "axs[1].loglog(range(ts[0], tmax), distances[ts[0]:])\n", "\n", "done_plots()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", " \n", " \n", " \n", " \n", "
\n", " \n", " \"Creative\n", " \n", " © C. Bauckhage and D. Speicher
\n", " Licensed under a \n", " \n", " CC BY-NC 4.0\n", " .\n", "
\n", " Acknowledgments:\n", " This material was prepared within the project\n", " \n", " P3ML\n", " \n", " which is funded by the Ministry of Education and Research of Germany (BMBF)\n", " under grant number 01/S17064. The authors gratefully acknowledge this support.\n", "
" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.6" } }, "nbformat": 4, "nbformat_minor": 2 }