{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Notebook 4: Linear Regression (Ising)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Learning Goal\n", "Let us now apply linear regression to an example that is familiar from Statistical Mechanics: the Ising model. The goal of this notebook is to revisit the concepts of in-sample and out-of-sample errors, as well as $L2$- and $L1$-regularization, in an example that is more intuitive to physicists. \n", "\n", "## Overview\n", "Consider the 1D Ising model with nearest-neighbor interactions \n", "\n", "$$H[\\boldsymbol{S}]=-J\\sum_{j=1}^L S_{j}S_{j+1}$$\n", "\n", "on a chain of length $L$ with periodic boundary conditions and $S_j=\\pm 1$ Ising spin variables. In one dimension, this paradigmatic model has no phase transition at finite temperature. \n", "\n", "\n", "### Exercises (optional): ### \n", "We invite the reader who is unfamiliar with the property of the Ising model to solve the following problems.\n", "\n", "\n", "For a more detailed introduction we refer the reader to consult one of the many textbooks on the subject (see for instance Goldenfeld, Lubensky, Baxter , etc.).\n", "\n", "### Learning the Ising model ###\n", "\n", "Suppose your boss set $J=1$, drew a large number of spin configurations, and computed their Ising energies. Then, without telling you about the above Hamiltonian, he or she handed you a data set of $i=1\\ldots n$ points of the form $\\{(H[\\boldsymbol{S}^i],\\boldsymbol{S}^i)\\}$. Your task is to learn the Hamiltonian using Linear regression techniques. " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import scipy.sparse as sp\n", "np.random.seed(12)\n", "\n", "\n", "import warnings\n", "# Comment this to turn on warnings\n", "warnings.filterwarnings('ignore')\n", "\n", "### define Ising model aprams\n", "# system size\n", "L=40\n", "\n", "# create 10000 random Ising states\n", "states=np.random.choice([-1, 1], size=(10000,L))\n", "\n", "def ising_energies(states):\n", " \"\"\"\n", " This function calculates the energies of the states in the nn Ising Hamiltonian\n", " \"\"\"\n", " L = states.shape[1]\n", " J = np.zeros((L, L),)\n", " for i in range(L): \n", " J[i,(i+1)%L]=-1.0 # interaction between nearest-neighbors\n", " \n", " # compute energies\n", " E = np.einsum('...i,ij,...j->...',states,J,states)\n", "\n", " return E\n", "# calculate Ising energies\n", "energies=ising_energies(states)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Recasting the problem as a Linear Regression\n", "First of all, we have to decide on a model class (possible Hamiltonians) we use to fit the data. In the absence of any prior knowledge, one sensible choice is the all-to-all Ising model\n", "\n", "$$\n", "H_\\mathrm{model}[\\boldsymbol{S}^i] = - \\sum_{j=1}^L \\sum_{k=1}^L J_{j,k}S_{j}^iS_{k}^i.\n", "$$\n", "Notice that this model is uniquely defined by the non-local coupling strengths $J_{jk}$ which we want to learn. Importantly, this model is linear in ${\\mathbf J}$ which makes it possible to use linear regression.\n", "\n", "To apply linear regression, we would like to recast this model in the form\n", "$$\n", "H_\\mathrm{model}^i \\equiv \\mathbf{X}^i \\cdot \\mathbf{J},\n", "$$\n", "\n", "where the vectors $\\mathbf{X}^i$ represent all two-body interactions $\\{S_{j}^iS_{k}^i \\}_{j,k=1}^L$, and the index $i$ runs over the samples in the data set. To make the analogy complete, we can also represent the dot product by a single index $p = \\{j,k\\}$, i.e. $\\mathbf{X}^i \\cdot \\mathbf{J}=X^i_pJ_p$. Note that the regression model does not include the minus sign, so we expect to learn negative $J$'s." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# reshape Ising states into RL samples: S_iS_j --> X_p\n", "states=np.einsum('...i,...j->...ij', states, states)\n", "shape=states.shape\n", "states=states.reshape((shape[0],shape[1]*shape[2]))\n", "# build final data set\n", "Data=[states,energies]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Numerical Experiments\n", "\n", "As we already mentioned a few times in the review, learning is not fitting: the subtle difference is that once we fit the data to obtain a candidate model, we expect it to generalize to unseen data not used for the fitting procedure. For this reason, we begin by specifying a training and test data sets" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# define number of samples\n", "n_samples=400\n", "# define train and test data sets\n", "X_train=Data[0][:n_samples]\n", "Y_train=Data[1][:n_samples] #+ np.random.normal(0,4.0,size=X_train.shape[0])\n", "X_test=Data[0][n_samples:3*n_samples//2]\n", "Y_test=Data[1][n_samples:3*n_samples//2] #+ np.random.normal(0,4.0,size=X_test.shape[0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Evaluating the performance: coefficient of determination $R^2$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In what follows the model performance (in-sample and out-of-sample) is evaluated using the so-called coefficient of determination, which is given by:\n", "\\begin{align}\n", "R^2 &= \\left(1-\\frac{u}{v}\\right),\\\\\n", "u&=(y_{pred}-y_{true})^2\\\\\n", "v&=(y_{true}-\\langle y_{true}\\rangle)^2\n", "\\end{align}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The best possible score is 1.0 but it can also be negative. A constant model that always predicts the expected value of $y$, $\\langle y_{true}\\rangle$, disregarding the input features, would get a $R^2$ score of 0." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Applying OLS, Ridge regression and LASSO:" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "scrolled": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/anaconda3/lib/python3.6/site-packages/sklearn/linear_model/coordinate_descent.py:492: ConvergenceWarning: Objective did not converge. You might want to increase the number of iterations. Fitting data with very small alpha may cause precision problems.\n", " ConvergenceWarning)\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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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from sklearn import linear_model\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits.axes_grid1 import make_axes_locatable\n", "import seaborn\n", "%matplotlib inline\n", "\n", "# set up Lasso and Ridge Regression models\n", "leastsq=linear_model.LinearRegression()\n", "ridge=linear_model.Ridge()\n", "lasso = linear_model.Lasso()\n", "\n", "# define error lists\n", "train_errors_leastsq = []\n", "test_errors_leastsq = []\n", "\n", "train_errors_ridge = []\n", "test_errors_ridge = []\n", "\n", "train_errors_lasso = []\n", "test_errors_lasso = []\n", "\n", "# set regularisation strength values\n", "lmbdas = np.logspace(-4, 5, 10)\n", "\n", "#Initialize coeffficients for ridge regression and Lasso\n", "coefs_leastsq = []\n", "coefs_ridge = []\n", "coefs_lasso=[]\n", "\n", "for lmbda in lmbdas:\n", " \n", " ### ordinary least squares\n", " leastsq.fit(X_train, Y_train) # fit model \n", " coefs_leastsq.append(leastsq.coef_) # store weights\n", " # use the coefficient of determination R^2 as the performance of prediction.\n", " train_errors_leastsq.append(leastsq.score(X_train, Y_train))\n", " test_errors_leastsq.append(leastsq.score(X_test,Y_test))\n", " \n", " ### apply RIDGE regression\n", " ridge.set_params(alpha=lmbda) # set regularisation parameter\n", " ridge.fit(X_train, Y_train) # fit model \n", " coefs_ridge.append(ridge.coef_) # store weights\n", " # use the coefficient of determination R^2 as the performance of prediction.\n", " train_errors_ridge.append(ridge.score(X_train, Y_train))\n", " test_errors_ridge.append(ridge.score(X_test,Y_test))\n", " \n", " ### apply LASSO regression\n", " lasso.set_params(alpha=lmbda) # set regularisation parameter\n", " lasso.fit(X_train, Y_train) # fit model\n", " coefs_lasso.append(lasso.coef_) # store weights\n", " # use the coefficient of determination R^2 as the performance of prediction.\n", " train_errors_lasso.append(lasso.score(X_train, Y_train))\n", " test_errors_lasso.append(lasso.score(X_test,Y_test))\n", "\n", " ### plot Ising interaction J\n", " J_leastsq=np.array(leastsq.coef_).reshape((L,L))\n", " J_ridge=np.array(ridge.coef_).reshape((L,L))\n", " J_lasso=np.array(lasso.coef_).reshape((L,L))\n", "\n", " cmap_args=dict(vmin=-1., vmax=1., cmap='seismic')\n", "\n", " fig, axarr = plt.subplots(nrows=1, ncols=3)\n", " \n", " axarr[0].imshow(J_leastsq,**cmap_args)\n", " axarr[0].set_title('OLS \\n Train$=%.3f$, Test$=%.3f$'%(train_errors_leastsq[-1], test_errors_leastsq[-1]),fontsize=16)\n", " axarr[0].tick_params(labelsize=16)\n", " \n", " axarr[1].imshow(J_ridge,**cmap_args)\n", " axarr[1].set_title('Ridge $\\lambda=%.4f$\\n Train$=%.3f$, Test$=%.3f$' %(lmbda,train_errors_ridge[-1],test_errors_ridge[-1]),fontsize=16)\n", " axarr[1].tick_params(labelsize=16)\n", " \n", " im=axarr[2].imshow(J_lasso,**cmap_args)\n", " axarr[2].set_title('LASSO $\\lambda=%.4f$\\n Train$=%.3f$, Test$=%.3f$' %(lmbda,train_errors_lasso[-1],test_errors_lasso[-1]),fontsize=16)\n", " axarr[2].tick_params(labelsize=16)\n", " \n", " divider = make_axes_locatable(axarr[2])\n", " cax = divider.append_axes(\"right\", size=\"5%\", pad=0.05, add_to_figure=True)\n", " cbar=fig.colorbar(im, cax=cax)\n", " \n", " cbar.ax.set_yticklabels(np.arange(-1.0, 1.0+0.25, 0.25),fontsize=14)\n", " cbar.set_label('$J_{i,j}$',labelpad=15, y=0.5,fontsize=20,rotation=0)\n", " \n", " fig.subplots_adjust(right=2.0)\n", " \n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To quantify learning, we also plot the in-sample and out-of-sample errors" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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DjHl/8/IgOhrmzJHOH6JKSOFnRxYkLeD0udMMih5kdhRhh86P55ev81m6b6nJaYQQBAXBtGkwcyY8/TTceSekpJidSjg4KfzsyI5jO6jlW4tuDbqZHUXYoTZhbWhcrTEeLh7Szk8IW9KpkzHV2w03GI9335V5f0WlkeFc7ExWbhZebl5mxxB2rM/MPuw4toOkh5LMjiKEKG7HDhg92uj1O20atGhhdiJhIhnOxYnlW41Pf1L0iWvVs0FPkk8mk5yWbHYUIURxTZvCsmXwz39C9+7w1FOQlWV2KuFApPCzE32/6cvQ74eaHUPYuaS0JCaumAggvXuFsFUWC4wcCZs3w969xswfixaZnUo4CCn87MDJrJPM3z2fGj41zI4i7Fx4QDgZuRn4uftJ4SeEratZExIS4K23jCuAw4bJ1T9xzaTwswNzdswh15rLoObSm1dcGzcXNzqFd8LV4sqSvUvIyZfZA4Sweb17G0O/HDoEn35qdhph56TwswMJ2xKIDIrkxlo3mh1FOIC4iDhOZp/kbM5Z1hxcY3YcIURZ+PrCM88YPX6dqFOmqHhS+Nm41LOpLNm7hMHNB6OUMjuOcABxEcZ4fhZlkdu9QtiTLl2Mqd8WLzY7ibBjUvjZOA9XD6b0nMLQltKxQ1SMG2rdwPi242lZo6UUfkLYE6Vg3Dh45x2zkwg7JoWfjQv0DGR8u/E0qtbI7CjCQbhaXHmj1xv0bdqXjX9v5GjGUbMjCSHK6u67YfVqo7evEFdBCj8bduj0Ib7880vO5pw1O4pwMHnWPOoE1AFgYfJCk9MIIcrMx8fo3fvBB2YnEXZKCj8bNmPLDIbNHUbq2VSzowgH8+eRPxk+dzi+7r5yu1cIe/Pgg/DZZ5CZaXYSYYek8LNhCdsSaBPWhsjgSLOjCAdzfc3rCfQMpIZPDX5N/hWrtpodSQhRVg0aQLt2MGOG2UmEHarywk8pVVcp9a1SKl0pdVopNUcpVa+M+9ZTSn2hlDqglMpUSu1SSk1USvlUdu6qtuvELjb+vZFB0TJ2n6h4LhYXOod35kzOGVIzUtmcutnsSEKI8hg7VoZ2EVelSgs/pZQ3sARoAgwDhgINgaWlFW8F6xcBnYF/A72Bj4FHAIcb0TJhawIKxYDoAWZHEQ4qLiKusGNHYpLc7hXCrvToYczisWqV2UmEnanqK34jgQbAHVrruVrrH4DbgHBgdCn7dsAoEkdrrb/QWi/VWr8KvAX0LSgqHcbm1M10Du9MmH+Y2VGEgzo/nl9d/7rSzk8Ie2OxGFf9ZGgXUU5VXfjdBqzVWiedX6C13gusBm4vZV/3gq+niy0/hXEeDjW68bcDvmXekHlmxxAO7Loa17Fw6EL6Nu3LqgOrpPe4EPZm2DBYtMiYyk2IMqrqwi8a2HqJ5duAZqXsuwjYDbyilGqmlPJVSnUFHgY+1FpnVGxU85xvaO/r7mtyEuHILMpC9wbdubXRreRac1m2b5nZkYQQ5eHvD0OGwIcfmp1E2JGqLvyCgZOXWJ4GBF1pR611NtARI/M24AywGJgHjL3cfkqpUUqp9Uqp9ceOHbva3FVGa831H17P5NWTzY4inMDB9IMs2rMIT1dPaecnhD0aOxY++gjOnTM7ibATZgzncqkuSKXeplVKeQKzgFCMTiFdgMeAgcB7l30xradprWO01jEhISFXl7gKrTu0ji1HtxDqE2p2FOEE0s+lM2n1JBoGN2RB8gKz4wghyqtJE2jRAr75xuwkwk5UdeF3EuOqX3FBXPpK4IX+CcQCt2itv9Zar9Bav4bRq/d+pVTLCk1qkoStCXi4eHBHkzvMjiKcQHRINNW9q+Pp6klSWhJ7Tu4xO5IQorzOD+0iRBlUdeG3DaOdX3HNgO2l7HsdcFJrnVxs+e8FX5teYzbT5VvzmbVtFrc0vIUAzwCz4wgnoJQiNiKWg6cPAjKsixB2qXdvOHoUfv+99G2F06vqwu9HoJ1SqsH5BUqpCIyhWn4sZd8jQJBSKqrY8rYFX+2+W9OK/Ss4cvYIg5sPNjuKcCJxEXEcOXuE2r61ZVgXIeyRi4sxjZsM7SLKoKoLv4+AfcAPSqnblVK3AT8AB4Gp5zdSSoUrpfKUUs9esO/nGB065iulhiml4pRSjwGvARswhoSxa+GB4TzZ4Ul6N+ptdhThROIi4vB196VFjRYs2buE3PxcsyMJIcprxAiYNw9SZW53cWVVWvgVDLnSFdgFfAVMB/YCXbXWFw4ipgCXC/NprfcB7YBNwERgPsaA0NOAHlrb/2SjDYIa8HL3l/F2c6ixqIWNa1K9CWmPpzHyxpGcyTnDmpQ1ZkcSQpRXcDD062f08BXiClyr+gW11geAvqVss49L9PTVWm8HHHIOs01HNnE04yjd6nfDxeJidhzhRJRSuLm4Ge895UJiUiKdwzubHUsIUV7jxsEtt8ATT4Cbm9lphI0yYzgXcQlT1kxh4LcDydf5ZkcRTui3g7/R+fPOtKzRUtr5CWGvWrSAyEj4/nuzkwgbJoWfDcjKzWLuzrn0bdoXdxf30ncQooJV967O5tTNhPmHsfHvjRzLsP3BzoUQlyBDu4hSSOFnA37e/TNnc85Kb15hmobBDantV5usvCw0moV7FpodSQhxNe64A/bsgT//NDuJsFFS+NmAhK0J1PCpQWxErNlRhJNSShEXEceW1C0EeQbJ7V4h7JWbG4wZI0O7iMuSws9kedY8Nv69kf7N+kunDmGquIg4UjNSaRvWll+Tf0XrS82uKISweSNHwnffQVqa2UmEDZLCz2SuFld2j9vNi91eNDuKcHLdGnRjQPQAOtTtwJGzR9icutnsSEKIqxEaCn36wCefmJ1E2CAp/EymtcbF4oK/h7/ZUYSTiwiMYFa/WYxoNQJAbvcKYc/GjYP334d8GSlCXEwKPxMdzzxOg7cbMG/XPLOjCFEoNz+X5iHNpfATwp61bg01asDPP5udRNgYKfxMNGfHHPad2kcd/zpmRxECgFlbZxHxVgQ31rqRVQdWkZGTYXYkIcTVGjtWOnmIEqTwM1HC1gQaV2tMyxotzY4iBADt6rQDwMfdh5z8HJbtW2ZuICHE1evfH7ZsgR07zE4ibIgUfiY5fOYwy/YtY1DzQShVYnY6IUwRHhhO/cD6pJxJwcvVS273CmHPPDxg1CgZ0FlcRAo/k8zeNhuNZlDzQWZHEeIisRGxrDqwii7hXaTwE8LejR4NM2ZAerrZSYSNkMLPJG3C2jCh4wSaVG9idhQhLhIXEUdaVhrNQ5uz68Qu9p3aZ3YkIcTVCguDnj3hiy/MTiJshBR+Jmlft72M3SdsUnxUPNPvmk7/6P4AJCbJVT8h7Nq4ccbtXqvV7CTCBkjhZ4Ll+5bL4LjCZoX6hDLkuiG0rt2aegH15HavEPauQwfw8YGFMge3kMLPFA8teIj7591vdgwhLmv/qf28/8f79GjQg8V7F5Obn2t2JCHE1VJKhnYRhaTwq2Lbj21nc+pmBjcfbHYUIS5r9cHVjP1lLI2qNeL0udOsO7TO7EhCiGsxZAisWwfJyWYnESaTwq+KJWxNwKIshe2nhLBFcRFxAJzLO4eLcpF2fkLYOy8vGDEC3nvP7CTCZFL4VSGtNQlbE4iLiKOmb02z4whxWbX8atG4WmPWHlpL2zptpZ2fEI5gzBijd2+GzMjjzKTwq0L70/eTcjpFxu4TdiE2IpaV+1fSvX531h9ez/HM42ZHEkJci4gI6NQJvv7a7CTCRFL4VaGIwAiOPnaUIdcNMTuKEKWKi4gjIzeDRtUaodEs2rPI7EhCiGs1bpzRyUNrs5MIk0jhV8V83X3xdvM2O4YQperTuA8nHj/BoOaDCPYKltu9QjiCrl2N8fyWLzc7iTCJFH5VZPWB1dw47UZ2HJPJsoV98HbzJtAzEBeLC90bdOfX5F/RcpVACPsmQ7s4PSn8qsjMrTPZfmw7dfzrmB1FiDJLTEqk94zedKvfjcNnDrP16FazIwkhrtW998KyZXDggNlJhAmk8KsCedY8Zm+fTZ9GffDz8DM7jhBldibnDPN3zyfUJxRAbvcK4Qh8fWHoUPjwQ7OTCBNI4VcFlu5dytGMo9KbV9id2IhYwBh4PDokWgo/IRzFAw/Axx9DdrbZSUQVk8KvCiRsTcDP3Y+bo242O4oQ5VLduzrXhV7H0n1LiY+MZ+X+lWTmZpodSwhxrRo1ghtvhIQEs5OIKlbuwk8pFaaUel0ptV4ptUcp1bxg+XilVNuKj2j/ekb25Lkuz+Hl5mV2FCHKLS4ijtUHVhNXP45z+edYvk96AwrhEGRoF6dUrsJPKRUNbAGGAoeBcMC9YHU48HCFpnMQA5sP5JGbHjE7hhBXpWdkT9rVaUfjao3xdPWU271COIpevSA9HdauNTuJqELlveI3BdgB1AfuAtQF634D2lVQLofxy+5fOHL2iNkxhLhqvRv1ZsmwJTSs1pAu4V2k8BPCUVgs8OCDMrSLkylv4dcRmKS1PgsUvzacCsgEtBfIyMmg3+x+/GfZf8yOIsQ1y87LJj4ynp3Hd3IgXYaBEMIh/OMf8Msv8PffZicRVaS8hZ/1CuuqA1nXkMXhzNs1j8zcTAY3H2x2FCGuyRtr3qD6q9ULe/kmJslVPyEcQmAgDBoE06aZnURUkfIWfr8D/7jMugHA6muL41hmbp1Jbb/adKzX0ewoQlyTqOAoMnIzOJV9ijr+deR2rxCO5MEHYepUyMkxO4moAuUt/F4A+iilfsXo4KGB7kqpL4A7gRcrOJ/dOpV9il+SfmFAswG4WFzMjiPENekc3hmLsrB8/3LiI+NZtGcRedY8s2MJISpC8+bQpAl8953ZSUQVKFfhp7VeDtyB0bnjU4zOHZOATsAdWut1FZ7QTq0+sJqc/BwZtFk4hADPAFrValU4nl/6uXR+P/S72bGEEBXl/NAuwuGVexw/rfXPWuuGQCOMzh5NtdYNtNa/VHg6O9a7UW9S/pVCm7A2ZkcRokLEhseyNmUtHep2wKIs0s5PCEfSpw+kpMCGDWYnEZXsqmfu0Fonaa1/01r/VZGBHEmYfxhKqdI3FMIODGw+kFe6v4Kfhx9twtpIOz8hHImrqzGN27vvmp1EVLLyDuD8hlLqq8us+0op9VrFxLJvH234iN4zenM256zZUYSoMDG1Yxjfbjx+Hn7ER8bzx+E/OJF5wuxYQoiKct99MHcuHDtmdhJRicp7xe824NfLrEvEaP/n9L7a/BX7T+3H193X7ChCVKjUs6ksTF5IfGQ8Vm1l0Z5FZkcSQlSU6tXhzjvhk0/MTiIqUXkLvzDg4GXWpRSsd2oH0w+y8sBK6dQhHNKba9+k94zeNAtpRqBnoNzuFcLRjB0L778PedJr31GVt/A7CURdZl0UcOba4ti/b7Z9AyCFn3BIsRGx5FpzWXdoHd0bdCcxOREtE7wL4ThatYK6deHHH81OIipJeQu/RcDTSqkaFy4seD4BWFhRwezVzK0ziakdQ1Tw5epjIexXh3odcLW4snSvMazL4TOH2XZsm9mxhBAVSYZ2cWjlLfz+DfgCu5VSM5RSryqlpgO7CpY/U9oBlFJ1lVLfKqXSlVKnlVJzlFL1yhpAKdVUKTVbKXVcKZWllPpLKfVwOc+jUli1lb5N+zK+7XizowhRKXzdfWkT1qZwPD+Q6duEcDh33QV//QVbt5qdRFSC8g7gvA9oDcwF4oDxBV+/B1prrfdeaX+llDewBGgCDMOY/aMhsFQp5VPa6yulYoB1gAdwH3ALMAWwiakxLMrCU52e4u4Wd5sdRYhKExcRx/rD6wn0DKRp9abSzk8IR+PuDqNHy9AuDkpVZfucgitzrwONtdZJBcvqA7uBx7XWr19hXwuwBdiltb7zal4/JiZGr1+//mp2LZOfd/1MXP04vN28K+01hDDbodOHyMnPoX5Qff614F98sP4D0p5Ik/e9EI7kyBFo2hT27IGgILPTOC2l1AatdUxFHvOqB3C+SrcBa88XfQAFVwlXA7eXsm8s0AyjcLQ5W1K3cOvMW/l80+dmRxGiUoX5h1E/qD4A8VHxnMs/x4r9K0xOJYSoUDVrws03w+efm51EVLByF35KqS5KqQ+VUvOVUkuKPRaXsns0cKlGA9tb6cqTAAAgAElEQVQwiror6Vjw1VMptVYplauUOqqUelsp5VXe86hoCVsTcFEu9GvWz+woQlS6ebvm8fTip+kc3hkPFw9p5yeEIxo3Dt57D6xWs5OICuRano2VUqOBD4ATGLdnzxXfpJRDBGMMCVNcGlDateTaBV9nAe8CTwIxwPNAXeCSt3+VUqOAUQCNg4Nh6lRjRadO0KxZ0XOAevWMTzi//AIHDhQtHz0atm+HlSuLlvXqZQx2+fXXaK1JOD6NboGtCPUJhe++g+PHje28vWHoUFi//uI5EO+6y/g6Z07RshtvhJgY+OoryMw0llWvDn37wooVsGNH0bb33GO8xoIFRcsq8JwKNW0KnTvLOZXnnHbuLNr27ruN10i8oDDq1MnIMG3axefUq5dx7hee06hRxs/ownOKjzdeb/r0omVNmhjnNGfOxed0zz3G+WzcWLTtHXeAUvDDD0XLbrjBGMZh5kzIyjKWVasGt98Oq1fDrl1F2w4cyB87FjFp09s8vj+Mzm5RJO74CXq9AV9+WbRdnTrQtSssWQKHDhUtHzoUdu+GdeuKlsXGQnAwfP990bKoKGjb1vh3Plnwa8PLyxhgduvWixue9+xpnNPixWCxgIuL8TNp3BiWLYPcXGN5QIDxb5eUZMxOcH7bFi2M896/33husUCtWhAYCHv3Gs8tFuNnWq0apKcb45yd39bPD/Lzjcf5ZZaqvqEiRAVr1874P/DLL9C7t9lpRAUpV+EHPALMAEZorXOu8jUv1aiwLBPanv8t+rXW+tmC75cppVyASUqpZlrr7SVeTOtpwDSAKPcQ/eN/jT+AC0ObsSUQ3svbSHQ05ObBe6/lMTcM7ji0hwYZmwFo3Agaj4ZTySdY8d+iP54/fNSOVM8A3vLcyIkmR9kTcpyWC+4gdg7cs38noeeMP97N2gUQNRRS/vibjS8U7T/9s14ATKm+kTphcPwETHmnNmuqw+jkLfjkpwPQsk89wvvC7kX72fFx0f7TvhpIjexTvBKxkerVIOUQvPKBcU7/t6tou7b35VHjZtjywx72/ri5cPnrM+G6Uyd4OXojvr6QnAwvFZzTqD1F+8c9441fZ9g4Yycpa4xzynAJYOon0P743zzfdiNurrBtGzxfcE53Hyja/7apRr3++ydbOLLLOKejHvX4+h3onbafx9ob227YCM8VnNPth41lnh7Qs5lxIXjdhxtJTTWOucfH+HcanrGH4a2Mc/rtN5hQcE49jhr7BwZA53btICCAFW9u5JTx8mwJ8GZhDXgsZye9rzPOad7KAF4rOKf2acb+NWpA217GOf06aSPZBR9z1gQb/04v5W3hpmjjoF8srcdn70CP1P20SDfakdarBy0HDIBTp/jpP0VtSxeGNmFzYFPey1tPdDOjfnhvcg7fh8Gdh5IK33uNGkHjUaM4tfsYKy/Yf+60tsZ7z2M9kZFw9iy89YYXC2vA0P3bC997TdsFEHXPPaT8fohNz/9euP9Xn/REoZkS9BthteHECXj9jeqsrt6KB5N+L3zvNe8dTr3bb2f3/N0kfVJ0K/e9T+7E6t0MawfNij++o12WFy/U30a7+IP898+imTxuGH49oV27sm36Jg7N+x8ACs2LnwzlhpMHmRi5AB9v2LcfXnyjGX97+vBw0vzC/ds91RW/tm358/1VHPvd6Dd21jWQN9+6ky7HdvLvZnNxdYHdSfDsG21QaEbvScCi81FY6fj2QGjcmB3/mkrGvuNYyOeQVxRTGsVw79/fMiL4B8jP5/AhK2PCf6F+5jYeShqH0lbcLfmEffxfGDCAtBu6kpNtxUXnsyGoG5OafMFL+8Zw0+kFYLWSnWWlV/vT9P77M8bvfhCLtuJCvjEO2o03kl8nnHwsWJULP9e6j3ei3uaj5DgaZm4GFxf259VmWItN9D/4On0PvY1VWXD3cqH6yrmgNQc6DCI339j/x1r381Pt0Xx0uDcNq58EV1fmHIjh7YjXueHkEoJyUznmXocWt9Rh5MRwsFiIjaWEAQOMaVkzM+GWW0quHz7ceBw/Dv0ucRNjzBgYOBAOHjTq+OIeeQT69DE6ho4eXXL9M89A9+6waROMv8QgCC+9BDfdVPD/ekLJ9W++CddfD4sWwcSJJddPnWrU/D/9BFOmlFz/1VfGUHWzZsEHH5Rc/+23xmerzz+/9J3O+fONzwDvvw/ffFNy/bJlxtfXXoN58y5e5+Vl1FEAL7xgfFa5ULVqxmdSgKeegjVrLl5fp07R59jx442f4YUaNSr6TDlq1MWf2cD4ub35pvH9PfdASsrF69u3h5dfNr7v208Rc3YcXYe+yxMtjMKvWzf497+N9TffXPQ58bxbb4VHHzW+l/deyfXX+t6rCOUt/MKAz66h6DuJcdWvuCAufSXwQucnBS0+VuCvwCTgeqBE4XehVI9wXm809aJly4dMJfoByM2EuQVvwrlhDxauHz4cGgN57TvxeqNOJY65fuRUdtV8AfcV8zmaMxlX4OvwpwvXP/IPY2TrjK59eH1WnxL77xw/lTrdIWUTrCl4E06NfLVw/UvDIBw41msor6+4+F1+1jeQlGemUv162LkIthS8CS88x6l3Qw1gX+8HeX3nRbuzJbATJyd1wrcurJ8FyR+U3P+mAeAHbO7zNJ8Xm5Z1TfU+5L7TBzdvWP4+pH5Tcv/bCk55xa2vlvgFuCRsKI9NNc5p/gtwdrFxTuf3r1YNehb8yOf2mlriF+Cixg8yvOClvhkPbDLOaUugsVOjRtC5pbH+605TS/wCXNjmaXoX/AJMuAdIMc5pTXUjdPv20Da84OfYaionip3/4vhXuangF2DCzUAWLKwxlIU1jHO69VZoGQgEBjKl0TSKWz5kGtEPQE4mfF/w3vs+bGzh+sL33k2dmdKoc4n914+aRuRAOHkQFha8Nb4KLxpRqei9dxuvzbqtxP47HvmEsO5wcBOsLnjvvRf1RuH6l0ZAPeBY7+G8snr4Rfta8+7F3fIQy+64nibZ/4BN13EyOJGXmxRd8Zv6DwgF9tzxf0xJvvi1/xfUlbS3uuJTF9bNgt0F770XmxZdxfz2HuO997++L/J5saHhl4f044kv+uHqDQvfh78L3nvPRX9buM2yIcbXn++eWeK9N7vBk4z45UkAPnkB0hfDJvdYRsRsAQr++A40tp08Zm+J9977HWdwU8Ef3ycL3ns/1xrJz7VGAgV/fG81PuOOHZFJ8q58lLailfH59ZNb5zLphVywWnnlAeA4/FJrBCtD7sKi82l1vZVHI+uC1rzeOoEzp4z9T7obQ6gu6/Y8De/Jhrw81jxufG4OPXeQtmnzCTmXQvgHKfDkFli+nKkb/ssxjzoc86jDT7VGsd+nGbV3rYLkuhAUBngixOUsDR3I/Xseo07mLlK8G5kdR1SAcvXqVUqtAL7SWn90VS+m1BLAXWvdsdjyZQVZulxh33uAr4A+Wut5FyxvBWwABmutE670+pXVq1drzd5Te2kQ1KDCjy2ErYr7Io707HQ2jNpA3Tfq0r5ue2b3n212LHGh06eNpgcpKcYjPh5CQozb/Skpxi34MWOMyxiPPmpchqlTx7jNXnC1Gnd34/KWcF4TJkBGBrz1ltlJnI4t9Op9CBivlCp5+aFsfgTaKaUKKySlVATQoWDdlfyC0aawV7Hl8QVfK2+cllIopaToE06na0RX8nU+udZcekb2ZNGeReRZZX5Pm+LvD23aGG1VH3rIuAcVHGy0Rd2zx7hPd/6+Xs+eEB0NZ84UtQl9+21j++Bgox3kwYNG+8wXXoDPPoOFC+HoUfPOT1SNMWOMe5RnnH5WVodQ3it+BwF/jFk6Mil5e1ZrrcOvsL8P8CeQhTHLhwZewLij00JrfbZgu3AgGXhea/38Bfs/hzF7yKsYA0HHAM8Bs7TWw0vLXxlX/J5c9CQZORm8c4tMbyOci9YapYzbjLO2zmLQd4P4bcRvtK/b3uRkokJpbTQETUkxOlodOGA0PkpJMQrBBx80GlWFhkLt2kYDpptvhocfNgrD/HzjKmKdOkZHAWGf+vY1Gvg98IDZSZxKZVzxK28bv8VcunNGmWitM5RSXYE3MG7bqoJjjj9f9BVQGLNxFL8i+TxwBngAeBT4G5iMUTxWudz8XD7e+DE9InuY8fJCmOp80QfQvUF3FIrE5EQp/ByNUkZr8+rVjedRUSVbtWttXEE8f0vZp2AipnXrjKuLKSlGL6QDB4wrhTNmFBWDo0cbAwQnJxvPg4KM1xS2Zdw4o+gbM0b+fexclc7cYbaKvuK3IGkBN0+/mbkD53J7k9LGnxbC8Ty79FmW7VvGin+soO3HbbEoC2v+uab0HYXzOnwYtmwpKhLvu89oSzhokPH83Dl45RWj0Bg71rhdXaeOcbUxNtZoh+jlJcVHVdPauN3/xhtGt1hRJWzhip+4wMytMwnwCKBXVPFmh0I4Bw8XD1YeWMnxzOP0iuzFxJUTOZl1kiAvmeJJXEbt2sbjQmFhRjEIRjuy8xck2rQxrhJu3gypqUbhN3q0MV7l88/D//2fFIBVRSmjGH/3XSn87NxVXfFTSrXEGGmixDgAWusvS+5hGyryil92Xjahk0Pp16wfn97+aYUcUwh789vB3+jwaQe+7f8ttfxq0eHTDnzT7xv6R/c3O5pwZPv2GW3Ounc3rg6KqpGRAeHhxkD3ERFmp3EKpvfqVUoFKqVWAxuBmcDnBY/PLng4hYycDIZfP5zh1w83O4oQpmlduzU+bj4s3beUNmFtCPAIIDFZpm8TlSwiAlatgvvvL5pxRVQ+Hx8YNswYuVrYrfIO5/ISUA3ojNEB406gKzAd2AO0qdB0NqyadzXevvltOodf7cg2Qtg/Nxc3OtbryNJ9S3G1uNK9QXcSkxNxprbDwiReXlC/vjGdYdu2Rg9iUfkeeMDooHN+ukphd8pb+MVjFH9rC56naK2Xaa3vBRYBD1dkOFt1NucsK/evxKpl4moh7m15L3c2uROrthIfGU/K6RR2HN9R+o5CVISePSEhAe6915gjTVSuyEij0J450+wk4iqVt/CrBezRWucD2Rjj7503B3CKWZx/2PkDnT/vzNqUtaVvLISDG3LdECZ2nYhFWYiPMsZTT0yS272iCsXGGkPHBAQYz63yobxSjRsH77xT1AlH2JXyFn5HgPMjcO4HLhywK6pCEtmBhG0J1PWvS7s67cyOIoRNyMrNYteJXdQLqEeT6k2knZ+oevXqwciRsG0bxMQY4wqKytGjh9G2ctUqs5OIq1Dewm8VRcXeV8BzSqmpSqn3MAZSdvjf9mlZaSQmJTIweiAWVd4fnxCOaeC3A7k9wRjLMj4ynuX7l5OVm2VyKuGUmjWDESOgfXtIdPg/SeawWIwxFt991+wk4iqUt3L5L7Cg4PvJwHsYt3cHY8y1O67iotmmOTvmkGvNZVDzQWZHEcJmdA7vzM7jO/n7zN/ER8aTnZfNygMrzY4lnJFSRlEyeza8+irkyfzRlWLYMKNDzaFDZicR5VSuwk9rnay1Xlnwfa7W+hGtdR2tdbDWeojW+kTlxLQdP+/+majgKFrVamV2FCFsRmxELADL9i2jS0QXPFw8pJ2fMFfnzrBokTETyBNPGFPGiYrj7w9DhsCHH5qdRJST3Kssp1n9ZjF/yPyL5ikVwtndUPMGAjwCWLpvKd5u3nQK7yTt/IT5lAIXFzh+3Lj1m5RkdiLHMnYsfPSRUVwLu1Huwk8p1VQp9W+l1DSl1JfFHl9URkhb4u7iTsNqDc2OIYRNcbG40Dm8M0v3LQWMdn7bjm0j5XSKycmE0/P0hI8/Nsaf69QJTp40O5HjaNIErrvOuK0u7EZ5Z+64F9gCPIvRtq/TJR4Oa8h3Q/jgjw/MjiGETfp3538z/a7paK2JjzSGdfk1+VeTUwmBceVvzBjYsAGCgmDNGhmKpKKcH9pF2I3yXvH7N/ADEKK1DtNa1y/2aFAJGW3CvlP7mLl1JqeyT5kdRQib1DqsNW3C2qCUonloc2r71ZbbvcK21K5tdPZ49FHo3x/OnDE7kf3r3RuOHoXffzc7iSij8hZ+NYH3tdZOV/3M2joLQHrzCnEFiUmJzNwyE6UUPSN7sjB5IfnWfLNjCVHE1RWWLDGu/LVrJ/P8XisXF+M2ugztYjfKW/itBppWRhBbl7AtgbZhbakfVN/sKELYrA83fMjTS54GjHZ+J7NPsv7wepNTCVGMhwdMmwZPPw3VqkF2ttmJ7Ns//wk//WRc+RM2r7yF31hglFJqsFKqmlLKUvxRGSHNtvP4TjYd2cTg5oPNjiKETYuLiGPvqb3sP7WfHg16oFByu1fYJqWM4Uh8feG222DiRJnq7WoFB0O/fkYxLWxeeQu1FOB/wNfAUSC32COnQtPZCKu20r9Zf/pH9zc7ihA27fx4fkv3LaWadzViasdI4Sds3+efw/z50LevtPu7WmPHGmP65eaanUSUoryF30cYs3TMBSYBzxd7vFCh6WxEs5BmfNP/G2r71TY7ihA2rXloc6p5VWPZvmWAcbt3Xco66RQlbFvt2rB0KdSsCRs3mp3GPrVsCQ0awNy5ZicRpXAt5/a3A49prd+qjDC26NDpQ2TmZsrYfUKUgUVZiI2IZfux7QDER8UzceVEFu9ZTN9mfU1OJ8QVeHjABwXDdU2ZAo0bw623mpvJ3pwf2qW/3B2zZeW94pcBbK+MILbqnd/fodn7zeSKhRBl9Ontn7LuvnUAtA1ri7+Hv9zuFfblppvg/vvh+eel3V953HEH7NkDf/5pdhJxBeUt/D4DhlRGEFuktSZhawI9GvQg0DPQ7DhC2AV/D//CKQ3dXNzoVr8bicmJaBkwV9iL9u3hjz8gMRHeftvsNPbDzc0omGVoF5tW3lu9+4HBSqmFwAKgxNw3WutPKyKYLVibspb96ft5Ic4hmy4KUWkeX/g4AK/2eJX4yHi+3/k9f534iybVm5icTIgyqlXLaPeXnw87dhi9gJvI+7dUo0YZt8lfecXo7StsTnmv+H0AhAPdgMnAx8UeH1VoOpPN3DoTT1dPbm9yu9lRhLArB9IPMGPLDGP6tihj+rbEJLndK+yMuzt4ecHWrdC5M/zwg9mJbF9oKPTpA598YnYScRnlLfzql/JwmCnbtNb88NcP9G7YG38Pf7PjCGFXYiNiOXTmEElpSUQERtCoWiNp5yfsV//+xgDFY8caHT/ElY0bB++/b1wtFTanzLd6lVJuwPXAZq313sqLZBuUUmwavUk6dQhxFeIi4gBjPL+G1RoSHxnPxxs/JjsvG09XT5PTCXEV2rY12v0dOGAUNBkZ4C8XBS6pdWvjyt/PPxuDYwubUuYrflrrXOAbIKLS0tiYIK8gmaJNiKvQqFojavnWYum+pYAxnl9WXharDqwyOZkQ16BmTWjTxihoWreG7U41yEX5nB/aRdic8t7q3QOEVkYQW5KTn0Ovr3vxa/KvZkcRwi4ppbinxT1EBEQAxq1fdxd3aecnHMNtt8GTT0KXLjJg8eX07w9bthgdY4RNKW/h9yrwtFIqpDLC2Ipfk38lMTmR3HyZekaIq/Vqj1d5ufvLAPi4+9CxXkcWJC8wOZUQFeQf/zCmefv9d7OT2CYPDxg5Et57z+wkopjyFn5dgWBgr1JqkVLqK6XUlxc8vqiEjFUuYWsCQZ5B9IjsYXYUIeyaVVtJz04HjNu9W49u5dDpQyanEqKCtG4NL70Ef/0FAwbAKWkTfpH774cZM+D0abOTiAuUt/DrCOQCx4DIguedij3sWmZuJnN3zqVfs364u7ibHUcIuxYzLYaRP40EjMIPkCYUwvE0aGC0/2vdGrZtMzuN7QgLgx494PPPzU4iLqCcaTT9mJgYvX79+ituM2/zPE6mnaR5tebS+1DYDDc3N0JDQ/G3s16E935/LwuSFpD6aCoAtV+vTZfwLiT0SzA5mRCV4IsvjOFeNm4E1/LOj+CgVq6E++4z2vpZynutSSilNmitYyrymPLOvMDp06ep61KXhk0a0jC0IRZ5kwoboLUmKyuLQ4eMW6T2VPzFRcTx1eav2H5sO9Gh0fSM7Mm8XfPIt+bjYnExO54QFWvYMBg0yPj+44+NdoAuTv4+79jRGAR74UKIjzc7jaD8t3pRSnkrpcYqpWYrpRYrpb5RSj2glPKujIBV6ejRozSs35DGNRtL0SdshlIKb29vwsLCOHr0qNlxyiU2IhbgomFd0rLS2PD3BhNTCVGJPDzg7FmYPh1uvRVOlpjZ1LkoJUO72JhyVTdKqZrARuBtIAbwBloD7wIblFI1KjxhFco8l4mbh5vZMYS4JC8vL3Jz7aunef2g+oQHhBcWfj0a9EChZFgX4dgCA40rXE2bGu3+nL34GzIE1q2D5GSzkwiubjiXIKCT1rq+1rq91ro+RiePQOCVig5YlU5mnWTn8Z04U7tHYT+UUmZHuCqTuk9iTMwYAEJ8QmhVq5VM3yYcn6srvP66ceUvKAhSUsxOZB4vL+O29/vvm51EUP7C72bgKa316gsXaq1/A54BeldUsKp2PPM4WblZBHkF2e0fWCFs0aDmg+jeoHvh8/jIeNamrC0c5kUIh9a2LeTlQc+e8NRTzjt/7QMPGJ1fMjLMTuL0ylv4+QKHL7MupWC9Xfpu+3cABHsFm5xECMeitWb1gdX8fsgY6DY+Kp58nc/ivYtNTiZEFXF1hRUrjMGeb7kF0tLMTlT1IiKMjh5ff212EqdX3sLvL2DoZdbdA+y8tjjmmbl1Jm4ubni5epkdRQiHopRi2NxhvLTyJQDa12mPn7uftPMTzqV6dUhMhJtugtxccMYmRWPHwrvvOue525DyFn6vAYMLZu0YoZS6WSn1D6VUIjAEmFzxESvfsYxjrNi/Am83b4e5zauUKvURERFRIa+VnZ2NUopJkyZVyPHO++233/D19S3RkzUjI4OJEyfSvHlzvLy8CAwMJDY2ltmzZ5c4xoIFC1BKsWrVqiu+1rfffkvHjh0JCQnB29ubiIgI7rrrLhYtWlS4zcyZM6lTpw5ZWVkVc4JOJC4ijuX7l5NvzcfNxY2u9buSmJwo7WmFc3F1heeegxo1jLlsZ80yO1HV6tbNuNW9fLnZSZxauQo/rfXXwP1Ac+Bj4GfgE6AFcL/WekaFJ6wCIT4hJD2UhJ+7n9lRKsyaNWsuetSsWZP4+PiLln3//fcV8loeHh6sWbOGe++9t0KOd96jjz7K/fffT2hoaOGytLQ0OnbsyOTJkxk4cCDz589n+vTpREREMGDAAB5++OFyv86rr75K//79iY6O5rPPPuOnn35iwoQJ5ObmsvyCX1ADBw7Ez8+PN998s0LOz5nERsRyKvsUf6b+CRjt/Pan72fXiV0mJxPCJM88A08+CY8/brQBdAZKGVf9ZGgXc2mtr/jAKOo8iy2zAE2BDgVfLaUd54J96wLfAunAaWAOUK+s+19wnKcADawq6z433nijvpLt27dfcb09Cw8P13fffXeZt8/Ozq7ENKVbtWqVBvTu3bsvWj5w4EDt6empN23aVGKfSZMmaUAnJCQULvvll180oFeuXHnZ1woJCdGDBg265Lr8/PyLnk+ZMkXXqFFD5+TklOd0Koy9vkcPnT6k+Q96ym9TtNZaJ6cla/6DfmvtWyYnE8JEx45p3b271r/8YnaSqnPmjNZBQVrv3292ErsArNflrI9Ke5Tlit//Coo/lFJ7lFIttdZWrfUOrfXqgq/WshSZBYM8LwGaAMMw2gs2BJYqpXzKcoyC4zQAngaueTTbPSf30Pebvuw8brfNE6/ZoEGDiIqKYsWKFbRr1w4vLy+effZZAL788ku6dOlCSEgIfn5+3HjjjcyYcfGF3Uvd6n3yySdxdXVl9+7dxMfH4+PjQ/369Xn55ZfLdHvv448/pk2bNkRFRRUu27t3L9988w0PPPAALVu2LLHPY489RlRUVLluOVutVk6dOkXNmjUvub74QN6DBg0iNTWVn376qcyvIaC2X20aVWvEygMrAWgQ1ICo4CgZ1kU4t/Pt/nr1Mm77/vmn2Ykqn68vDB0KH35odhKnVZYp27KA8z0eIgCPa3i9kUADoLHWOglAKbUZ2A2MBl4v43E+AKYDjbnGaecStiYwZ8cc3oh/gwxKdjMfPx42bbqWV7h2118PlX138fjx4wwdOpQnnniCZs2a4eNj1OF79+4tLAwBli5dytChQ8nJyWH48OFXPKbWmrvuuot//vOfPPbYY8yZM4cJEyYQERHB4MGDr7hvYmIiQ4YMuWjZ0qVL0Vpz2223XXIfi8VC7969eeutt0hLSyM4uPQe2haLhZiYGD766CPq1q3LbbfddlGxWVzt2rWJjIxkwYIF3HXXXaUeXxT5ecjP1PWvW/g8PjKezzZ9xrm8c3i4XsuvFSHs2PkPl0pB9+7w1lvGgMeO7MEHjR6+zz4Lnp5mp3E6ZSmatgKvKaV+Lnh+n1Kq12W21VrrF65wrNuAteeLvoId9iqlVgO3U4bCTyk1BGgFDMa4TXxNErYm0KFuB+oF1GPH4R3Xeji7lZ6ezqxZs4gvNpfic889V/i91WolLi6OgwcP8sEHH5Ra+FmtViZMmFBY5HXr1o1FixYxc+bMKxZ++/fv5++//y5xVe/gwYMAV+yUcn5dSkpKmQo/MK4u9u/fn0ceeYRHHnmEkJAQevbsyYgRI+jatWuJ7W+44QbWrl1bpmOLIlHBFxfU8ZHxvPfHe6w6sIpuDbqZlEoIGzFgADRuDHfdZYx1N3Kk2YkqT6NGcOONkJAApfwdERWvLIXfeOBTjAGaNXDfFbbVwJUKv2jgh0ss3wb0Ly2IUioIeAN4XGuddq09cLcd3caWo1t45+bLNzR1lnb83t7eJYo+gB07dvDcc8+xatUqjhw5UnibNiAgoEzH7d27aExvpRTR0dHs3bv3ivscPmwMFRkSEnLR8rLcIi7LNsU1a9aMP//8k5QWrqYAACAASURBVJUrV7Jw4ULWrl3L7NmzmT59OpMnT+bRRx+9aPuQkBCWLl1a7tdxdlZtZcLiCVwXeh13t7ibuPpxuFncSExOlMJPCICWLeGPP8BqhSNHjF7A1aubnapyjB1rXPEbNsy42imqTKlt/LTWa7XWzQB3QGF06HC7zMO9lMMFA5eatDANYyq40kwGdgGfl2FbAJRSo5RS65VS648dO3bRuoStCViUhf7NSq05Hd6l2ridOnWKHj16sHPnTiZPnsyqVav4448/uPvuu8nOzi71mC4uLvj7+1+0zMPDo9R9z6/38Lj49l/dusZtwn379l123/379wNQp06dUvNdyNXVlbi4OF566SWWLFlCUlISTZo04emnnyaj2EjzXl5eMqTLVbAoCz/+9SNfbzEGcPV196VDvQ7Szk+ICwUHG8Xejz8a8/z+739mJ6ocN98M6ekgd0+qXHmGc1HA/wFJWuv8yz3KcJxLXZIptdxXSnUC7gXG6HJc1tFaT9Nax2itY4pfQarpW5MR14+ghm+Nsh7OYV3q6unKlSs5dOj/2bvz8JqO/4Hj75PtZg+RCCqExF5rImKLBBFqK0JC0KK1lrYpovxsrdr5tiitpYqiGvseVUEQe0trq5BYKrbGviQh8/vjyK0re+TmJjKv5zkPd86cM597e6WTMzOf+YcffviB4OBgGjRogIeHB0lJSXqNpVixYgDceWVjc19fXxRFYePGjWlel5yczJYtW6hVq1aWh3nT4+zsTK9evUhMTOTCKxuLx8fH4/Cm/hauZz4uPuy7vI+k5+p3yN/Vn5M3ThL3IM7AkUlSPtO3L0yZom71tnKloaPJfUZG6lw/mdolz2Wn4ydQn7jVfo327qA+9XtVUdJ+Eviy71FzBl5VFKWIoihFUIeqjV+8zvbs8EGeg1jQbkF2Lys0Hj9+DICpqam27ObNm2zdulWv7bq6umJiYsLFixd1ysuXL0+nTp2YO3cuJ9JY/TZt2jSio6MZPnx4ttpLmTv4qrNnz6IoCk5Our8YxMTEUKlSpWy1Ial8XXx5mPiQY3HHALXjB7Djwg5DhiVJ+VOXLrBrF1haqrtdvGn7/PbqBdu2QZz8xS8vZXlFrBAiWVGUK0CW066k4RTqPL9XVQVOZ3JtlRdH/zTO3QE+BbI8I+/MrTO42rtiZpzZ6HTh1bhxY6ysrOjXrx9jxozh/v37fPHFFzg5OXH16lW9tWtlZYW7uzuHDx9Ode67777D19eXJk2aMHToUBo2bMiTJ08ICwtjyZIlDBw4MM2FI7t37+b69es6ZRqNhrZt21KhQgXatGlD+/btKVu2LPfu3WPTpk0sXryYnj176nT8nj9/zrFjxwgNDc39N14I+Lj4ABARE4FXaS9qlqhJcavihF8I571a7xk2OEnKj6pXV48NG9RJ5+vXQxbnWOd7RYpAYCDMn6/uaCLlieymQvke+ERRlC1CiMQctLcRdYVweSHERQBFUVxQ5w2OyORa3zTKvgaMgcFAdBrn05QskmnxUwsaODdgVUAh2zInG0qVKsWaNWsYPnw4nTp1onTp0oSEhHDp0iW9714RGBjI+PHjSUhI0JnrV6xYMQ4cOMCMGTNYuXIlX331FaamptSuXZuVK1cSGBiY5v1Gjx6dqqxYsWLcvn2badOmER4ezqhRo7h58ybGxsZUrlyZ6dOnM2TIEJ1rdu/ezaNHj9JtR8qYo5Uj3mW9SUpWh3qNFCP8Xf3ZFr2NZJGMkZLdXSQlqZBo0wY2bVKfkq1Z8+YsiPjoI3U4+/PPwUw+iMkLSnZWQSqKMgF4/8XL7UAcunP2hBAi3W77iyTNJ1BzA6asEv4SsAFqCCEevqhXFrgAfCGE+CKD++0GTIQQjbISv4eHhzh69CiRlyLx/tGb5R2X0636f/mSzpw5Q5UqVbJyK0nP4uPjcXZ2ZsmSJQQEBBg6HK1evXpx9epVfv31V4O0/yZ+R5efXE73dd058uERPEp5GDocScq/EhLU/HeDB0Mub5FpUE2bqnMag4IMHUm+oyjKMSFErv5gzO4Tv5Ev/b13GucFkG7HTwjxSFGUpqgpWZahLur4DfgkpdP3goL6JE8vv/7//NfPWJhY0K5S2omAJcOzt7cnJCSEKVOm5JuO35UrV1i5cqXO/r1SzqU84fNz9QMgPDpcdvwkKSMaDWzeDEWLqnP+3qSnfjNmyI5fHslWx0oIYZTJYZyFe1wWQnQSQtgKIWyEEO8KIWJfqRMrhFCEEOMyuZdPVp/2pXiW/Iyw02G0rdQWazPr7Fwq5bHQ0FDatGnDzZuvvTNfrrh06RKzZ8+mXr16hg6lQEt4lkC1udWYGDkRgOJWxalTso5M6yJJWeHkBImJ4O0N+eRn42tr1w6uXoXjxw0dSaFQ6CbU7Indw63HtwiqJn+zyO+sra0ZO3YsxYsXN3QoADRq1IgP3+Rs+nlEY6LB1MiUiNj/kmD7u/oTdTWK+wn3DRiZJBUQ1tZqxy84+M1Y6WtiAgMGyNQueSTbHT9F1U5RlOmKoix+MR8PRVGaKIpSKvdDzF2+5XzZ33s/rSq0MnQoklRo+br4cuDKARKeJQBqx+9Z8jN2xewycGSSVECMH692+r5Idxp8wfLBB7BuHdy+behI3njZ6vi92DLtALAedeu2nkCxF6c/JPOVuQZnpBjRwLkB5iZyY2hJMhTfcr48ffaUg1fVrP31netjbWZNeLQc7pWkLDExURM7v7QtZoHm4AAdOsDChYaO5I2X3Sd+0wBn1PQrDujuuLETyNcbbt5PuM+gLYO4+/SuoUORpELNu6w3Cgq7Y3cDYGZsRtNyTQm/EJ6j/ZYlqVBycgJPTxg9GtJJRF+gDB4Mc+fCs2eGjuSNlt2OX3tglBAiitRbr11G7RTmW7cf3+aX079gZfo6OaglSXpdRcyLMKrxKOqV/m+hjL+rPzF3Y4iOz3JKTkmSAGxs1F0+EnOSXjcfqVMHnJ3VfIWS3mS342cN/JPOOXOysOeuId17eo/OVTtjamyaeWVJkvTqy6Zf0tKtpfZ1yvZtcnWvJGXT0KFQvDhkc7vKfOmjj+QiDz3LbsfvHNAinXNNgD9fLxz9ShbJBL0tV/NKUn4ghOD8v+e5el/d/s/V3hXXoq6y4ydJ2WVkBD/+CPb2an6/gqxTJzh7Fv76y9CRvLGy2/H7FnXLtlFAmRdlRRRF6QV89OJ8vmVqbEqjMtlK+ydJkp48SHxAlW+rMP/YfG2Zv6s/ETERJD4v4ENWkpTXihaFMWPg8GH4+29DR5NzZmbQrx/MmWPoSN5Y2U3gvACYCYznv71xfwXmA18LIZbnbni5y8HSodDsBaooSqaHi4tLrra5evVqZs2ala1rDhw4gLW1daokzY8ePWLChAm8/fbbWFhYUKRIEXx8fAgLC0t1j+3bt6MoCvv27cs0vkaNGuHo6IilpSUuLi507NiRnTt3auusXLmS0qVL8+TJk2y9Dyn7bDW2uJdy183n5+bPo6RH7L+834CRSVIBduKE+tTs8WNDR5JzffvCqlVwVy7E1IfspnNxAMYBrkB/1P12BwKVhBCjcj26XFbKJt+nGcw1UVFROkeJEiXw9/fXKVu3bl2utpmTjt/QoUPp37+/TpLm+Ph4GjVqxLRp0wgMDGTr1q0sX74cFxcXunTpwscff5zt2KZOnUrnzp2pVq0aixcvZtOmTYwcOZKkpCSdLdgCAwOxsbHh66+/znYbUvb5lPXh0NVDPE5S/yfl6+KLiZGJHO6VpJz68EOoVQsGDiy4w74lS0KrVrB4saEjeTMJITI8UPfMHQfcBZ4DicAaoEhm1+a3w93dXWTk9OnTGZ4vyMqWLSuCg4P12kZgYKBwdXXNcv19+/YJQJw/fz7VfczNzcUff/yR6prJkycLQPz888/asm3btglAREZGptuWo6OjCAoKSvPc8+fPdV7PmDFDODk5icTExCy/l7zypn1Ht53fJhiH2BG9Q1vWZHETUeu7WgaMSpIKuIcPhWjdWohbtwwdSc4dOCCEq6sQr/x8LmyAoyKX+0JZeeLXHxgDHAemAxtQ07r8L3e7oJIh7dy5Ex8fH6ytrbG2tqZ169acOXNGp87mzZvx8vLC1tYWGxsbqlSpwuTJkwEICgpi1apVXLhwQTuUXLly5QzbXLhwIZ6enri5uWnLYmJi+OWXXxg4cCA1a9ZMdc2wYcNwc3PTtpsVycnJ3L17lxIlSqR53shI959BUFAQN27cYJNMKaB3jco0wlgx1ubzA3We3x/X/+DGwxuGC0ySCjIrK9i8WU3zEhNj6GhyxssLihSB7dsNHckbJysdvw+BBUKIpkKIUCFEZ2AQ0F1RFDP9hpc/+PikPubOVc89fpz2+R9/VM/fvp32+VWr1PNXrqR9PqXPce6cXt8aAGvXrsXf3x8HBwdWrFjBsmXLuHXrFt7e3sTFxQFw9uxZOnbsSOXKlQkLC2P9+vV8/PHHPHjwAIAJEybQvHlzSpcurR1KXpXyJtMRHh5O48aNdcoiIiIQQtCuXbs0rzEyMqJ169b88ccfxMfHZ+n9GRkZ4eHhwYIFC5g5cybR0RnniStVqhSurq5slz9w9M7azJrw7uF8Wv9TbZm/m5rWZceFHYYKS5LeDL/9Bn5+BXOunKLI1C56kpWOX3ng1Rn1q1CHgMvmekRSnkpOTubjjz/G39+f1atX065dOzp06MD27dtJSkrim2++AeDo0aM8e/aM77//Hn9/f5o1a0b//v356quvAHBzc6NYsWJoNBq8vLzw8vJK84ldikuXLhEXF5eqzpUX2eczWniScu7q1atZfp8LFy6kbNmyfPbZZ1SoUIHixYvTvXt3du1Ke2/Y2rVrc/DgwSzfX8q5ZuWb4WDpoH1dq0QtHC0d5Tw/SXpd77yjzpXr1atgzvcLCoJjxwr2KuV8yCQLdayB+6+UPXjxp03uhpM/7d6d/jlLy4zPOzhkfN7ZOePzlSplHNvrOnXqFFevXmXKlCk8e2mbHFtbW+rWrcvevXsBqFOnDkZGRnTu3Jn3338fb29vHBwc0rttpq5duwaAo6OjTrnIwg+nrNR5VdWqVTlx4gSRkZH8+uuvHDx4kLCwMJYvX860adMYOnSoTn1HR0ciIiLSuZuUm+4n3Gf+sfn4uPjgUcoDI8WIFq4t2HFhB8kiudCsxJckvZg+Hby91f/R+PoaOprsMTeHDz5Qh9jkgrtck9WfqG8pilI+5UB9Cpiq/MU5qQBJSaMSHByMqampzrFz507+/fdfQO04bdu2jadPn9KtWzecnJxo2LAh+/fnLO3G06dPAdBoNDrlzs7qrn+xsbHpXnvp0iUASpcuna02TUxM8PX1ZeLEiezatYvo6GgqV67MqFGjePTokU5dCwsLmdIlj5gYmTDyt5GEnfpvYMHf1Z9bj2/xx/U/DBiZJL0BNBrYs0ft9L34uVug9O8Py5bB/VefP0k5ldWO32rg/EvH2Rfl618pP5/bAUr6VaxYMQBmzJjBkSNHUh1r1qzR1vXz82PHjh3cvXuX8PBwnj17xjvvvMO9e/dy3O6dO3d0yn19fVEUhY0bN6Z5XXJyMlu2bKFWrVrY29tnu92XOTs706tXLxITE7lw4YLOufj4+Nd6oillnaWpJfVK19PJ59fCVd0gKDxaDvdK0mszN1cnlFetCjcK2KKpMmUgMBB69IDnzw0dzRshK0O9vfQehWQw1atXp1SpUpw5c4aQkJAsXWNubk7z5s2Jj48nMDCQy5cvU716dTQaTZafkrm6umJiYsLFixd1ysuXL0+nTp2YO3cuPXv2TDUHcNq0aURHR7NixYqsvcEXrly5on2a+LKzZ8+iKApOTk465TExMVTS9zi7pOXr4stXkV9xP+E+thpbnKydqFWiFuEXwvm88eeGDk+SCj5nZ+jWTT127ABjY0NHlHVffw3+/jBiBEybZuhoCrxMO35CiCV5EYhkGMbGxsyZM4fOnTvz+PFjOnXqRLFixbh+/Tr79++nYsWKfPTRR8yaNYsjR47QsmVLSpcuza1bt5g4cSJlypTRpm2pWrUqS5cuZdGiRdSoUQNLS0uqVauWZrtWVla4u7tz+PDhVOe+++47fH19adKkCUOHDqVhw4Y8efKEsLAwlixZwsCBA+natWuq63bv3s3169d1yjQaDW3btqVChQq0adOG9u3bU7ZsWe7du8emTZtYvHgxPXv21On4PX/+nGPHjhEaGvo6H62UDb4uvny590siL0XSumJrQB3unRE1gwcJD7DRFIrpxJKkX+PHQ4sWMHMmDBtm6GiyzswM1qxRU7xUqqTO+5NyLrcTA+bnQyZwTj+B8969e0XLli1FkSJFhEajES4uLqJr167i0KFD2vNt2rQRb731ljAzMxMlS5YUQUFBOsmX7927JwICAoSdnZ0ARKVKlTKMaebMmcLOzk48ffo01bkHDx6IcePGiapVqwpzc3NhY2MjvL29dRI3p0hJ4JzWUaxYMSGEELNmzRKtW7cWzs7OQqPRCEtLS1GnTh0xffr0VImad+7cKRRFEX///XeG8RvCm/odfZL0RFhPtBbfHPxGW7br4i7BOMSGsxsMGJkkvWFu3hQiPt7QUeTMuXNCFC8uxG+/GTqSPIMeEjgroiAu8c4hDw8PcfTo0XTPnzlzhipVquRhRIVbfHw8zs7OLFmyhICAAEOHo9WrVy+uXr3Kr7/+auhQUnmTv6MJzxLQmPy32CfxeSL2U+zpWbMnc1vPNWBkkvSGef4c2rdXV8uWKWPoaLInIkJN8xIZCRUrGjoavVMU5ZgQwiM37ynzJEgGY29vT0hICFOmTDF0KFpXrlxh5cqVTJgwwdChFDovd/oAzIzN8C3nK/P5SVJuMzZWdwro3BkSEw0dTfb4+sLEidC6NbzIOiFlj+z4SQYVGhpKmzZttGllDO3SpUvMnj2bevXqGTqUQufyvct4L/Zmy99btGX+rv5cvHOR6PiMd1uRJCmbPvsMSpVS/yxo+vSBDh2gU6eC13HNB2THTzIoa2trxo4dS/HixQ0dCgCNGjXiww8/NHQYhZKTlRNHrh1h58Wd2jJ/V3X7NpnWRZJymaLA4sXQsqWhI8mZSZPUvXwHDCiYu5IYkOz4SZKUL2hMNDRwbqCTz8/N3o1yRcrJ4V5J0ociRdQh07lz4ezZzOvnJ8bGsHw5/P67TPGSTbLjJ0lSvuHr4suJGyf497E6d0dRFPxd/YmIjSDxuRzSkSS9MDWFgAB4ZQejfM/KCjZuhFmzYN06Q0dTYMiOnyRJ+Yavi7qX6N5Le7Vl/m7+PEx8yIErBwwVliS92T74ANzd1e3RCtqwaenSsGED9O0Lx48bOpoCQXb8JEnKN+q+VZe2FdvqJGxuWq4pJkYmcp6fJOmLosC8eVC8eMFcLOHuDt9/r6ao+ecfQ0eT78mOnyRJ+YaZsRkbu26kefnm2jJbjS31S9eX8/wkSZ8sLWHGDLXjdPKkoaPJvo4dYdAgaNu24A1Z5zHZ8ZMkKd+JfxLP46TH2tf+rv78fv13bjwsYBvMS1JBc/y4mirlzh1DR5J9oaFQsyZ07w7JyYaOJt+SHb83lKIomR4uLi650tbTp09RFIXJkyfnyv1SHDhwAGtra50cf15eXjrvwcbGBm9vb7Zt25bqei8vL1pmIVXBiBEjMDc3z9XYX5acnEzVqlWZPXu23tp4k5y4fgKHqQ66+fzc1LQuv17Mf7upSNIbJSBAXen7/vsFb76foqhDvvHx8Pnnho4m3zIxdACSfkRFRem87tChAzVr1mTcuHHaMo1GQ27QaDRERUVRJpe3/hk6dCj9+/dPleOvbt26zJo1CyEEly5dYsKECbRv355Dhw5Ru3Ztbb1FixZhbGycqzHlhJGREaNHj2bIkCG899572NraGjqkfK2qY1WszKyIiI2gc7XOANQpWQcHSwfCL4TTvUZ3A0coSW+46dOhXTuIjoYKFQwdTfaYmcHateDlBZUqQe/eho4o35EdvzeUl5eXzmuNRoODg0Oq8vQkJCRkuWOoKEqW75tV+/fvJyoqiqVLl6Y6Z2trq22vfv361K1bFzc3N5YsWaLT8atWrVquxvQ6AgICGDx4MD/++CNDhgwxdDj5mqmxKY3LNNbJ52ekGOFX3o8dF3aQLJIxUuRghSTpjZkZpIyiXL5c8PbzLVYMNm8Gb28oX17dnk7Skj89JYKCgnBzc2Pv3r14eXlhYWHBmDFjAFi6dClNmjTB0dERGxsb3N3dWbFihc71aQ31jhgxAhMTE86fP4+/vz9WVlaUK1eOSZMmIbIwfLBw4UI8PT1xc3PLtK6rqyu2trZcvnxZpzytod7Dhw/ToEEDzM3NcXZ2Tnd4+vr163Tp0gVra2vs7e3p27cvq1evRlEUDh48qFN31apVeHp6YmlpSdGiRQkKCuKfV1aWmZqa0rFjRxYuXJjp+5HAx8WHs7fPcv3hdW2Zv6s/Nx/d5MT1EwaMTJIKCUWBY8egfn24fj3z+vlNpUqwYgUEBsL584aOJl+RHT8JgNu3b9OjRw969uzJtm3bCAgIACAmJoagoCBWrFjB2rVr8ff3p0ePHvz444+Z3lMIQceOHWnVqhUbNmygVatWjBw5kp9//jnTa8PDw2ncuHGWYo+Pj+fBgwe4urpmWO/69es0b96cBw8esGzZMr755hvWrl3L8uXLU8Xdrl07du7cyfTp01mxYgVJSUl8lsaell9//TVdu3aldu3arFmzhrlz53Ls2DF8fX15/PixTl1vb2/+/PNPrl27lqX3VZil5PPbHbtbW9bCtQWAXN0rSXnFw0PdF7dbN3j+3NDRZF+zZjBhgjpnMT7e0NHkH0KIQnO4u7uLjJw+fTrD8wVZ2bJlRXBwcJrnAgMDBSC2b9+e4T2eP38ukpKSRPfu3YWnp6e2/MmTJwIQkyZN0paFhoYKQKxYsUJblpycLCpUqCDatm2bYTuxsbECEEuXLk11rl69eqJp06YiKSlJJCYmiujoaNGuXTtRsmRJcfny5VR1/f39ta9DQkKERqMRcXFx2rK7d+8KOzs7odFotGUbNmwQgNiwYYPO/fz8/AQgoqKihBBC3LlzR1haWooBAwbo1Dt37pwwNjYW8+bN0yn/66+/BCDWrFmT4fvPyJv8HX1Z0vMkMe/IPHH5ru5/0xrzagifH30MFJUkFULPngnRrJkQP/1k6EhyLiRECF9fIRISDB1JtgFHRS73heQTv6xQFMMfemZpaYm/v3+q8jNnztClSxdKlSqFiYkJpqam/PTTT5w7dy5L923durX274qiUK1atVRDsq9KeSLm6OiY5vldu3ZhamqKmZkZbm5u7Ny5k3Xr1uHs7JzhfaOiovD29qZEiRLaMjs7O1q1aqVT7+DBg2g0Gtq2batTnvIUNEVkZCSPHz8mODiYZ8+eaY/y5ctTvnx59u7dq1M/5f3IJ36ZMzEyob9Hf5ztdP+b+rv6s//yfh4mPjRQZJJUyBgbw/r16lO/pCRDR5MzU6eCtTUMHFjwVirrgez4ZYUQhj/07OXOUIq7d+/i5+fH2bNnmTZtGvv27ePIkSMEBwfz9OnTTO9pbGycagWrRqPJ9NqU8+ktLvH09OTIkSNERUUxf/58NBoNnTp14k4meafi4uJwcnJKVf5qWVxcHI6OjiivdLhfrZeSZqZRo0aYmprqHOfPn+fff//VqW9hYQHAkydPMoxTUt15coelJ5Zy89F/6Xz8Xf1JSk4iIiYigyslScpV1tbw4AG8/TZcumToaLLP2Fid73f0qJqkupCTq3olgFSdHFCfaP3zzz+sX78eDw8PbXmSnn/rK1asGEC6HTkbGxttPF5eXjg7O9OqVSsmTJjAjAz+UZcsWZIbN1InAH61rGTJkty6dQshhM7n8mq9lDhXrFhBhTRSHrza6Y1/McfEwcEh3Ril/8TcjeG99e/xU4efCK4RDECjMo2wNLUk/EI4bSu1zeQOkiTlGltb6NcPOneGyEjIpXRgecbaGjZtUtO8VKigbu9WSMknflK6UhYnmJqaastu3rzJ1q1b9dquq6srJiYmXLx4MUv1W7ZsSatWrZg3b16aHbsU9evXJzIykusvrVC7d+9equTPXl5eJCQksGnTJp3ysLAwndfe3t5YWFhw8eJFPDw8Uh0VK1bUqR8TEwNApUqVsvS+CruaTjUpYl5EJ62LxkSDj4uPXOAhSYbw6adQujSMGmXoSHLG2Vkdtv7gA/j9d0NHYzCy4yelq3HjxlhZWdGvXz+2bt3Kzz//jI+PT5rDpbnJysoKd3d3Dh8+nOVrvvzyS548ecL06dPTrTNs2DBMTU3x8/MjLCyMdevW4efnh42NjU69tm3bUrduXXr16sX3339PeHg4vXr10s5rNDJS/9nY29szefJkxo0bx6BBg9i4cSMRERH89NNP9OnTh9WrV+vc99ChQ1hYWOg8PZXSZ2xkTJOyTXQ6fqAO90bHR3PxTtZ+MZAkKZcoCvzwg7onbkFVty7Mm6cmqC6k863zvOOnKIqzoiirFUW5pyjKfUVR1iqKkml2SEVRPBRFma8oyllFUR4rinJZUZTliqKUy4u4C6NSpUqxZs0anjx5QqdOnRg9ejSDBw9OtchBHwIDA9mxYwcJCQlZqu/u7k6HDh2YN28et2/fTrNOiRIl2LlzJzY2NnTv3p0hQ4bQsWNHgoODdeopisLGjRtp2rQpn332GUFBQSiKwujRowF1QUiKIUOGsHr1av766y+Cg4Np3bo148ePR1EUqlevrnPfzZs307FjR8zMzLLzURRqvi6+XLxzkcv3/lsQ5O+qLkIKj5ZP/SQpzxUpAi4u6o4YZ84YOpqcCQiAAQPUzt+jR4aOJs8pIg9XuCiKYgmcABKA/wMEMAGwBGoIIdL9L6AoynSgPrAcOAW8BYwGigO1hBBXMmvfw8NDHD16NN3zZ86coUqVvoZQqAAAIABJREFUKll+P5L+xMfH4+zszJIlS/Kko5kVffr0Yc2aNdy+fRsTk+xNj42NjaV8+fJERkbSsGHDHMdQ2L6jJ2+cpOZ3NQnrHEZAVfV7IISg3DflqFWiFuuD1hs4QkkqpBYtgpkz4fBhsLIydDTZJ4S6H/HDhxAWBkb5cwBUUZRjQohcHSbK68UdHwLlgUpCiGgARVFOAueBfsDMDK6dIoS49XKBoij7gZgX9x2jl4glg7C3tyckJIQpU6YYpOO3cOFCnj59SuXKlUlISGDr1q0sXryYMWPGZLvTBzBlyhRatmz5Wp2+wujt4m9z5dMrlLYtrS1TFAV/V39W/rWSpOdJmBqbZnAHSZL0ondv2LdPXfCxbFmepB3LVYoC8+eDn586Z3HSJENHlGfyuuPXDjiY0ukDEELEvOjAtSeDjt+rnb4XZZcURbmF+vRPesOEhoZiYmLCzZs3KV68eJ62bWlpyaxZs4iJiSExMZHy5cszffp0Pv3002zfKzk5mTJlyhASEqKHSN9sRoqRTqcvhb+bP/OPzyfqahTeZb0NEJkkFXKKAt9+C7/8YuhIck6jgbVroV49dYu39983dER5Iq+fbVYD/kqj/BRQNbs3UxSlCupQbwGdaCBlxNramrFjx+Z5pw+gW7dunDx5kgcPHpCQkMCZM2cICQlJM+1NZoyMjPj888/TTPkiZe7kjZME/BJA7N1YbVmzcs0wVozlPD9JMiRLS7WztHGjuq9vQeTgAJs3w/DhsGePoaPJE3nd8bMH0krOFg8Uzc6NFEUxAb4DbgGLXj80SZLyIyPFiDVn1rArZpe2zM7cjvrO9WVaF0nKD5KS1Px+mSTRz7eqVFETPAcGQnR05vULOEPMZkxrNUlOJgfMARoA3YUQ6X7bFEXpqyjKUUVRjt66lWq0WJKkfK6aYzUcLR3ZHbtbp9zf1Z/jcce59Uj+u5YkgwoIUFfIvvceJCcbOpqcad4cxo2DNm0Kbgc2i/K643cH9anfq4qS9pPANCmKMgnoC/QWQuzIqK4QYr4QwkMI4ZHe3q+SJOVfiqLg4+JDRGwEL2ch8Hf1RyD49eKvBoxOkiRA3Q/3rbfg3j1DR5Jz/ftDq1ZqR7ag7kucBXnd8TuFOs/vVVWB01m5gaIoo4ARwMdCiGW5GJskSfmUr4svV+9f5cKdC9qyOiXrUMyimBzulaT8wMxMTYwsRMHeFWP6dLCwgI8+Ut/LGyivO34bAS9FUcqnFCiK4gI0fHEuQ4qiDEHN+zdKCDFbTzFKkpTPNC3XlDol6/Dv43+1ZcZGxvi5+rHjwg7yMh+pJEkZ+P13dbj0pa0xCxRjY1i5Eg4ehP/9z9DR6EVed/wWALHABkVR2iuK0g7YAFwBvk+ppChKWUVRnimKMualsiDga2A7sEtRFK+XjmyvCJYkqeCo5FCJY32PUa90PZ1yf1d/rj+8zskbJw0UmSRJOpo1gw8/hK5d4dkzQ0eTMzY2sGkTzJih/vmGydOO34udOZoCfwPLUHfhiAGaCiEevlRVAYxfia/li/KWQNQrx1y9By9JksElPk/UebrXwrUFgBzulaT8ZPRodTePbOy3nu+UKQPr1kGfPvDHH4aOJlfl+apeIcRlIUQnIYStEMJGCPGuECL2lTqxQghFCDHupbL3X5Sldfjk8dvI9xRFyfRwcXHJ1TZXr17NrFmzsnXNgQMHsLa25ubNm9oyLy8vnThtbGzw9vZm27Ztqa738vKiZcuWmbYzYsQIzM3NsxVbdiQnJ1O1alVmz5YzEPRly99bKDqlKH//+7e2rJRNKaoXry47fpKUnxgbq0/KGjSAGzcMHU3OeXrCnDnqiuW4OENHk2vyeucOKY9ERUXpvO7QoQM1a9Zk3Lhx2jKNRpOrba5evZqjR48yZMiQLF8zdOhQ+vfvnypJc926dZk1axZCCC5dusSECRNo3749hw4donbt2tp6ixYtwtjYONfeQ04ZGRkxevRohgwZwnvvvYetra2hQ3rjVCxWkcdJj4mIjaCSQyVtub+rP7MOz+JR4iOszArgnqGS9CZSFIiNVXfFOHQIcvlBQ57p0gX+/lvt/O3ZoyatLuDy567E0mvz8vLSOTQaDQ4ODjplL3egDGH//v1ERUXRv3//VOdsbW3x8vKifv36BAUFsWHDBpKSkliyZIlOvWrVqlG5cuW8CjlDAQEBCCH48ccfDR3KG8nN3o23bN4iIjZCp9zfzZ/E54ls+vvNm4sjSQWaiwuMGKEmd05IMHQ0OTdqFFSuXLDzFL5EdvwkAHbu3ImPjw/W1tZYW1vTunVrzpzR3Qlv8+bNeHl5YWtri42NDVWqVGHy5MkABAUFsWrVKi5cuKAdos2sQ7Zw4UI8PT1xc3PLND5XV1dsbW25fPmyTnlaQ72HDx+mQYMGmJub4+zsrI3xVdevX6dLly5YW1tjb29P3759Wb16NYqicPDgQZ26q1atwtPTE0tLS4oWLUpQUBD//POPTh1TU1M6duzIwoULM30/Uval5PPbHbtbZ55f4zKNcbN3o8e6HkzZN4VkUfB/MEvSG+OTT9T5ctmcBpSvKAosXKgO944ebehoXpvs+EmsXbsWf39/HBwcWLFiBcuWLePWrVt4e3sT92Jew9mzZ+nYsSOVK1cmLCyM9evX8/HHH/PgwQMAJkyYQPPmzSldujRRUVFERUWxatWqDNsNDw+ncePGWYoxPj6eBw8e4OrqmmG969ev07x5cx48eMCyZcv45ptvWLt2LcuXL9epJ4SgXbt27Ny5k+nTp7NixQqSkpL47LPPUt3z66+/pmvXrtSuXZs1a9Ywd+5cjh07hq+vL48fP9ap6+3tzZ9//sm1a9ey9L6k7PF18eXmo5ucvvVf2k+NiYbDHxymQ+UOjPhtBH7L/Lj2QH7+kpQvKAosWQIff1ywn5ZpNOpij5UrYelSQ0fzeoQQheZwd3cXGTl9+nSG5wuysmXLiuDg4FTlz58/F6VLlxatWrXSKf/333+FnZ2dCA0NFUIIsWzZMqEoinj69Gm6bQQGBgpXV9csxRMbGysAsXTp0lTn6tWrJ5o2bSqSkpJEYmKiiI6OFu3atRMlS5YUly9fTlXX399f+zokJERoNBoRFxenLbt7966ws7MTGo1GW7ZhwwYBiA0bNujcz8/PTwAiKipKCCHEnTt3hKWlpRgwYIBOvXPnzgljY2Mxb948nfK//vpLAGLNmjVZ+hyy603+jmbF5buXxfjd48WVe1dSnUtOThYLjy0Ull9ZimJTiomNZzcaIEJJktKUlCSEh4cQp04ZOpLXc+qUEI6OQuzdmyfNAUdFLveF5BO/rBg3Tv2tJeU4dkw9Xi5LWTRRqtR/Ze7ualnfvrp1r11TVzy9XDZ/vlr35bK2bdWyY8f09tZOnTrF1atX6d69O8+ePdMetra21K1bl7179wJQp04djIyM6Ny5M2vXruX27duv1W7KE7H0ttHbtWsXpqammJmZ4ebmxs6dO1m3bh3Ozs4Z3jcqKgpvb29KlCihLbOzs6NVq1Y69Q4ePIhGo6Ftymf8QkBAgM7ryMhIHj9+THBwsM7nU758ecqXL6/9fFKkvB/5xE8/nO2cGdNkDKVtS6c6pygKfer04VjfYzjbOdPu53Z8tPUjniQ9MUCkkiTpMDGBAQPU7dAePsy8fn5VtSr89JM6b/HChczr50Oy45cV48apW7ekHO7u6vFyWUrH79q1/8pSOmzz5+vWLVVK7dS9XNa3r1r35bKUxJEpHUg9SEmjEhwcjKmpqc6xc+dO/v1X3SmhatWqbNu2jadPn9KtWzecnJxo2LAh+/fvz1G7T58+BdJfWezp6cmRI0eIiopi/vz5aDQaOnXqxJ1MNs+Oi4vDyckpVfmrZXFxcTg6OqIoSob1Uj6fRo0apfp8zp8/r/18UlhYWADw5InsbOjLw8SHhEeHpzuXr7JDZQ72OUiIVwjfHvkWz4WenLp5Ko+jlCQpld69wcsLBg0ydCSvp0ULGDtW3aHk7l1DR5NtMp1LIVesWDEAZsyYgbe3d6rzL+e+8/Pzw8/Pj6dPn7Jv3z5GjRrFO++8w+XLl7Gzs8tRu+l15GxsbPDw8ADUBRzOzs60atWKCRMmMGPGjHTvW7JkSW6kkTfq1bKSJUty69YthBA6nb9X66XEuWLFCipUqJDqvq+mbYmPjwfAwcEh3Ril17P69Gp6bejFyf4nqe5UPc06GhMNM/xn4Ofqx3vr38NjgQczW8ykv0f/VJ19SZLy0Jw5cO6coaN4fQMGwNmz6pO/rVvB1NTQEWWZfOJXyFWvXp1SpUpx5swZPDw8Uh1vv/12qmvMzc1p3rw5n332Gffv39eutNVoNFl+0uXq6oqJiQkXL17MUv2WLVvSqlUr5s2bl2bHLkX9+vWJjIzk+kv7RN67dy9V8mcvLy8SEhLY9Mp2PGFhYTqvvb29sbCw4OLFi2l+PhUrVtSpHxMTA0ClSpWQ9MPXxRcgVVqXtLR0a8nJ/ifxcfFh4NaBdFjVgduPX2+agiRJr8HSEmrXVlfHHjli6Ghez8yZYGYGgwero3QFhOz4FXLGxsbMmTOHxYsXExwczNq1a9mzZw+rVq1iyJAhzJkzB4BZs2bRo0cPli9fzp49e1i9ejUTJ06kTJky2rQtVatW5dq1ayxatIgjR45w6lT6w2tWVla4u7tzOBtb+nz55Zc8efKE6dOnp1tn2LBhmJqa4ufnR1hYGOvWrcPPzw8bGxudem3btqVu3br06tWL77//nvDwcHr16sW5F7+JGhmp/zTs7e2ZPHky48aNY9CgQWzcuJGIiAh++ukn+vTpw+rVq3Xue+jQISwsLLRPK6XcV7ZIWcoVKZeljh+Ak7UTW7pt4X/+/2Nb9DZqfleTiJisXStJkp7UqqUmR34xSlIgGRurq3z374dvvjF0NFmX26tF8vMhV/WmXtWbYu/evaJly5aiSJEiQqPRCBcXF9G1a1dx6NAh7fk2bdqIt956S5iZmYmSJUuKoKAgcf78ee097t27JwICAoSdnZ0ARKVKlTKMaebMmcLOzi7VSuF69eqJZs2apXlNhw4dhJWVlbh165a27sureoUQ4tChQ6J+/frCzMxMlC5dWkyaNEmEhobqrOoVQoi4uDgREBAgrKysRJEiRUSvXr3E/PnzBSDOnj2rU3f9+vXC29tbWFtbCwsLC+Hm5ib69OmTql6jRo0y/Jxf15v8Hc2O3ut7i6KTi4rnyc+zdd3xa8dFpdmVhDJOEZ/v/FwkPkvUU4SSJGXq00+FaNNGiOfZ+3ec78TGClGypBCbNuX6rdHDql6Dd8by8ijMHb/86N9//xWWlpYiLCzM0KFo9e7dW9jZ2YmkpKRsXxsTEyMURRH79u3TQ2Qq+R1VLTuxTDAOcfza8Wxf+zDhofhgwweCcQjPBZ4i+t9oPUQoSVKmEhOF+N//1FQvBV1UlJrm5cSJXL2tPjp+cqhXMhh7e3tCQkKYMmWKQdpfuHAhc+bMYefOnWzZsoVBgwaxePFiPvnkE0xMsr/uacqUKbRs2ZKGDRvqIVrpZW0qtuH3fr9Ts0TNbF9rZWbFgnYLCOscxt///k3t72vz08mf9BClJEkZMjVVd/Y4dgwiIw0dzevx8oLZs9WMHS/NMc+P5KpeyaBCQ0MxMTHh5s2bFC9ePE/btrS0ZNasWcTExJCYmEj58uWZPn06n376abbvlZycTJkyZQgJCdFDpNKripgXoVaJWq91j4CqAXi+5Unw2mB6rOtB+IVwvn3nW2w1tplfLElS7rl3D95/X+0Alixp6GhyLjBQXbHcvj3s3g0v0nvlN4r6JLFw8PDwEEePHk33/JkzZ6hSpUoeRiRJ2SO/o/85eu0oy04sY6b/TIyNjHN8n2fJz5gYOZHxe8bjUsSFFR1XUK90vVyMVJKkTI0fD7t2wW+/qcmeCyohoHt3SEqCn38Go9cbWFUU5ZgQIldXC8qhXkmSCqTz/55n1uFZ/H7999e6j4mRCWOajGHv+3t5lvyMRosbMSlyEs+Tn+dSpJIkZer//g8qVoSrVw0dyetRFFi0SH0fY8caOpo0yY6fJEkFko+LDwC7Y3fnyv0almnIif4n6FilIyN3jcRvmR//3P8nV+4tSVImjI1hwQJ1qPePPwwdzesxN4f169Wt3X7Kf/OHZcdPkqQCqaRNSSo7VM5yPr+sKGJehJ87/cwP7X7g8D+HqfldTTac3ZBr95ckKROnToG/P7xIhl9gFS8OmzdDSAjs22foaHTIjp8kSQWWT1kfIi9F8iz5Wa7dU1EUetXuxfF+xylbpCzvrnqXQVsG8SRJ7r8sSXpXpw6MHAkBAfBiT/cCq1o1WLpU3dYti7tU5QXZ8ZMkqcDyLedLEfMiXLl3JdfvXbFYRQ70PsBn9T9j7tG5eC705K+bf+V6O5IkvWLIEHB1hS1bDB3J62vZUp2/2KYN3L1r6GgA2fGTJKkAC6gawKVPLlGuaDm93F9jomF6i+lsD97OrUe38JjvwbeHv6UwZUOQpDynKOpWaJ065ZvO0msZNAiaNVO3qHuWe6MTOSU7fpIkFVhGihGKoui9HX83f04OOEnTck35aNtHvLvqXW4/vq33diWp0DI2Vjt91aqp8/4Kuv/9T31PQ4aoKV8MSHb8JEkq0Jb8sYRKcyqR9DxJr+0UtyrOlm5b+Nr/a7ZHb6fmdzXZFbNLr21KUqFWpAh89ZX65C8fzZHLERMTNa/f3r3qDh8GJDt+byhFUTI9XFxccqWtp0+foigKkydPzpX7pThw4ADW1tbcvHlTW+bl5UXz5s2zdH10dDSKomBhYcG9e/fSrHPt2jUGDRpEhQoVMDc3x8HBAQ8PDz755BOeP/8vj9vdu3cZOXIkVapUwdLSEnt7e2rWrMmAAQOIj4/XuWdSUhKzZ8/Gw8MDa2trbGxsqFevHvPnzyc5OVmnblRUFNbW1sTFxWX1Y5FeYW1mzd///s3hfw7rvS1FUfjY62MOfXAIW40tzZc25/Odn+u90ylJhdb776vH4MHq66tXDf7ELMfs7NSVvpMnw9atBgujAKfHljISFRWl87pDhw7UrFmTcePGacs0Gk2utKXRaIiKiqJMmTK5cr8UQ4cOpX///jneym3JkiWA2jH95Zdf+PDDD3XOx8fH4+npiYWFBcOGDaNixYrcvn2b48ePs2LFCiZPnoyxsTFJSUn4+Phw48YNQkNDqVGjBg8ePODPP/9kxYoV3Lx5E3t7ewASEhJo06YNkZGRDB48mEmTJiGE0O4FvH37dsLCwjA2VneaqF+/Pg0bNmTcuHF8//33r/FpFV4+Lj5YmFjQdmVbPvL8iCH1huBg6aDXNmuVqMXRD48SEh7C5P2T+S3mN1Z2Womrvate25WkQmnECPUA6N0bbtxQh0y7dcu326Kly8UFVq+Gd99VdympXj3vYxBCFJrD3d1dZOT06dMZni/IypYtK4KDg7Nc/+nTp3qMJnP79u0TgDh//rxOeb169USzZs0yvT45OVmULVtW1KlTR5QoUUI0bNgwVZ1vv/1WAOLs2bNpXp9iy5YtAhDbt29Ps63nz59r/x4aGioURRHbtm1LVe/nn38WgJg8ebJO+Zo1a4SZmZm4detWpu/rTf6Ovo5j146Jd39+VzAO4bfUL0/bXn1qtSgyuYiwnmgtlv6xNE/blqRCJzlZiPBwId55R4iU/6c9fGjYmHJi+XIhypYV4vr1DKsBR0Uu94XkUK9EUFAQbm5u7N27Fy8vLywsLBgzZgwAS5cupUmTJjg6OmJjY4O7uzsrVqzQuT6tod4RI0ZgYmLC+fPn8ff3x8rKinLlymmfgGVm4cKFeHp64ubmlqP3tHv3bi5dusT7779PcHAw+/fv58KFCzp1UoZonZycUl3/8oKBlHolSpRIsy2jF3sxPnr0iDlz5tChQwdatmyZql5gYCC+vr5Mnz5dZxi5devWaDQali5dms13KaWoU7IO6wLXcWrgKaY0nwLA9YfX+XDjh5y7fU6vbXeq2omT/U9Sp2Qdeq7vSfe13bmfcF+vbUpSoaUo0KKFmupl8WJ1lWy1atC1Kxw8aOjosq5bN3UIu317eJK3OULlUG8mPtn+CX9cN+z2MbVK1OLrll/rtY3bt2/To0cPQkNDqVq1KlZWVgDExMRoO4YAERER9OjRg8TERN5///0M7ymEoGPHjvTp04dhw4axdu1aRo4ciYuLC127ds3w2vDwcLp165bj97NkyRJMTU3p2rUrcXFxzJgxg6VLlzJ+/HhtHU9PTwA6d+7M8OHDadiwIZaWlqnu5eHhgZGREX369GH06NH4+PhgZ2eXqt6hQ4d49OgR7dq1Szeudu3aERERwcmTJ6lduzagDpV7enqyfft2QkJCcvyeJajqWFX798P/HOanP39i0e+L6FS1E583+pw6JevopV1nO2d29dzFxMiJjN8zngNXDrCi0wq8SnvppT1JkgBTU/XPEyfghx/UzlSfPjBqFCQng1E+f7Y1diycOwe9eqnpa/IgQwHIxR3SC/fu3WP+/PkMHDgQHx8f6tatC8DYsWMZMGAAfn5+NGvWjC+++IJu3boxb968TO+ZnJzMyJEj+eSTT2jevDnffvstFSpUYOXKlRled+nSJeLi4qhZs2aO3sujR49Ys2YNrVq1wsHBgerVq1OrVi2WLl2q87SxRYsWjBw5kt27d9OiRQtsbW3x9PTkyy+/5P79/57YVK5cmdmzZ3P69GneffddihYtSo0aNRgxYgQ3btzQ1rtyRU0inNGimZRzKXVT1K5dm4MF6bfVAqBdpXZc+uQSnzf6nB0XduA+3513lr+Tq7t8vMzYyJjRTUazt9dekkUyjX5oxMTIiTxPfp75xZIk5ZydHXz6KZw/ry4CuXULypeHCRPUv+dXiqI+tbx0CV6af69v8olfJvT9pC2/sLS0xN/fP1X5mTNnGDt2LPv27eP69evajlNaT7zS0rp1a+3fFUWhWrVqxGSyB+O1a9cAcHR0zGr4OtasWcPDhw/p2bOntuy9997j008/JTIyEm9vb235V199xcCBA9myZQv79+9n9+7djBkzhkWLFnHs2DGKFSsGwMCBAwkMDGTbtm3s3buXPXv2MGXKFBYsWEBUVBQVK1bM0hB2enUcHR158OABDx8+xNraOkfvW0qtuFVxvmr2FcMbDue7o99x5f4VTIzUH3uH/zmMRykPjJTc/f23gXMD/uj/BwO2DGDUrlHsvLiTZR2W8ZbtW7najiRJrzA2Bltb9e+bNsGsWVCxovo0sEMHw8aWHnNzWL8evLzUWIOD9d6kfOInAWnPX7t79y5+fn6cPXuWadOmsW/fPo4cOUJwcDBPs7CHorGxMbYp/whf0Gg0mV6bcj6nq46XLFmCra0tjRs35u7du9y9e5d33nkHIyMj7Urfl7311lv07duXJUuWEBsby/Tp07l06RL/+9//dOoVK1aM7t27M3/+fM6dO8eqVau4c+cOX3zxBQDOzs4AxMbGphvbpUuXdOqmsHixMu1JHs/1KCzszO0IbRTKnHfmAHDm1hnqLaxHze9q8tPJn3L9KWAR8yKs6LiCxe0Xc/ifw9T4rgbrz67P1TYkScpA9eqwYIH6FLBJEzh5Enx8YN06eJ7PnsI7Oakd1U8/hQMH9N6c7PhJAGnufhAZGck///zDDz/8QHBwMA0aNMDDw4OkJP3mLEt5ynbnzp1sX3vlyhV2797N/fv3cXJyomjRohQtWpRKlSqRnJxMWFhYhp0rRVEICQnB0tKS06dPZ9hWly5dqFy5srael5cXVlZWbNy4Md1rNm7ciIODAzVq1NApj4+PR1EUbVoYSb/c7N1Y1mEZQgh6rOtBhdkVmHtkLk+f5d6m8Iqi8H6t9zne7zjlipSjw6oODNg8gCdJsnMvSXnGwQHs7aFKFejfH6ZOBTc3+MOwc/dTefttWLJETVadyajY65IdPyldjx8/BsA0ZQItcPPmTbbqOfGkq6srJiYmXMxBpvalS5eSnJzMokWLiIiI0DmmTp3KgwcPWLduHQBxcXE6q2tTXL58mcePH1OyZEkAbt26RUJCQqp69+/f59q1a9p6VlZWDBgwgHXr1rF9+/ZU9VetWkVERAQhISHaPH4pYmJicHNzS1Uu6YepsSnda3Tn5ICTbAjaQAnrEgzdMZQHCQ+A9Ifkc6JisYoc6HOAYQ2G8d2x7/BY4MGfN/7MtftLkpQFpqYQFARRUbBqFbi6QkSEuo/uOf2u/M+yVq1g5Eho0wbS2XQgN8g5flK6GjdujJWVFf369WPMmDHcv3+fL774AicnJ65evaq3dq2srHB3d+fw4bR3Yrh58yarV69OVV67dm2WLl1K5cqV6d27d6rzDRs2ZNq0aSxZsoRu3bqxaNEiFi5cSO/evfH09MTc3JyzZ88yffp0LC0tGTBgAKCuMP7ss8/o1asXDRs2xM7OjpiYGL755hsePnzIJ598om3jyy+/5Pjx47z77rsMGTKEFi1aaBM4f/vtt7Rr147hw4eniu3QoUM6cw+lvGGkGNGuUjvaVmxLzN0YHK0cEULQankr3Eu687HXxxS3ylkC8ZeZGZsx1W8qfuX96Lm+J3UX1GV6i+kMqjsoT/YaliTpJS8yOlClivo00Nsb6tRRF1qkk7Yrz3z0EZw9C4GB6i4f+pDbiQHz8yETOKedwDkwMFC4urqmeW779u2iRo0awtzcXLi5uYm5c+eK0NBQodFotHWePHkiADFp0iRtWWhoqDA2Nk6zrUqVKmUa78yZM4WdnV2qRNL16tUTQJrHF198IQAxderUdO8bEhIijIyMxNWrV8XJkyfF4MGDRc2aNUXRokWFiYmJKFmypOjSpYs4ceKE9prY2FgxfPhwUbduXeHg4CCMjY2Fo6OjaNOmjdizZ0+qNhITE8XXX38t6tSpIywtLYWlpaWoW7eumDsmqbCdAAAdgklEQVR3rnj27Fmq+tHR0QIQv/76a6afy5v8Hc0vHiY8FAG/BAhlnCLMJ5iLj7Z8JGLvxOba/W88vCFaL28tGIdou6KtuPUo88TdkiTp0ZMnQixbJkRSkhCbNgnx7bdCPHhguHiSkoRo0UKIQYP0ksBZEbk4pJHfeXh4iKNHj6Z7/syZM1SpUiUPI5LSEx8fj7OzM0uWLCEgIMDQ4ejV+PHjWb58OefOncv06Y/8juadc7fPMXX/VJadXEaySGZ79+00L5+1faIzI4RgzuE5DPt1GPYW9iztsDTX7i1J0ms4ehQmToS9e9UEy199Bbm0vWm23LsH3t4oJ08eE0J45Oat5Rw/KV+yt7cnJCSEKVOmGDoUvXr48CFz5sxhwoQJcsgvn6nkUIlF7RdxYcgFhjUYRkPnhgCER4dz+J+0pyFklaIoDK43mMMfHqaIeRFaLGtB6K+hJD5PzI3QJUnKKQ8PWLtW7QA6OYGZmbrids8eyMsHZXZ2agx6IDt+Ur4VGhpKmzZtuHnzpqFD0ZvY2FiGDx9Oly5dDB2KlA5nO2cmNZ+EhamacmfUrlHUW1iPZkubsfPiztdaCFLDqQZH+x6lr3tfph6YSsMfGhIdH51boUuSlFMuLjBsmJpk+eFD6NcPateGH3/Muw7gSwsrc5Mc6n2JHEaT8jv5HTW8BwkP+P7Y98yMmkncwzg8SnkwtflUfMv5vtZ9155ZywcbPyApOYlv3/mWHjV6yKfAkpRfJCfDjh1qnr0vvoDwcKhRA15kddAXRVHkUK8kSZIh2WhsGNpgKBc/vsh3rb8j/kk8d5/eBeBR4iOSnucsz2XHKh05OeAk7iXdeW/9e3Rf1517T/WX0kGSpGwwMoKWLdVOH6hDv1WrQvfuehuS1RfZ8ZMkScoBcxNz+nn049xH52hfuT0AU/dPxW22G7MPzeZx0uNs37O0bWl+6/kbE3wnsOqvVdT+vjYHr8o9nCUp35k4ES5eVId/X+SG5eBB0PMGB7lBdvwkSZJeg4mRiXa/38ZlG1PGrgxDtg/B5WsXvtr7lfZpYFYZGxkzynsUkb0iEQga/dCIr/Z+xfPkfLbNlCQVdkWLwmefqSt/k5Nh7FgoV07tFN6+bejo0pXnHT9FUZwVRVmtKMo9RVHuK4qyVlGUMlm81lxRlGmKosQpivJEUZQoRVFk1ltJkvKF5uWbE9krkr3v78WjlAf/F/F/9NvcL0f3qu9cnz/6/UGXal34v4j/o/my5ly9r7/E6ZIkvQYjI3Xe3+bNEB0Nc9R9wfW9/VpO5GnHT1EUS2AXUBl4D+gBVAAiFEWxysItFgEfAmOANkAcEK4oSi39RCxJkpR9jcs2ZmvwVn7v9ztjm4wFIDo+mgGbB3DxTta3IrQzt2N5x+UseXcJR68dpca8Gqw7s05fYUuS9Lpq1YIffoBx49RcfI0bQ9OmsGEDpLFFqCHk9RO/D4HywLtCiPVCiA1AO6AskOGvxYqi1AS6AZ8KIRYIIX4DugCXgS/0G7YkSVL21SpRi6qOVQE4dPUQP/zxAxVnV6T72u78dfOvLN1DURR61uzJ7/1+x9XelY6/dKT/5v45mkMoSVIesrNT5wF+8IE6/LtggZoK5v59g4aV1x2/dsBBIYQ2UZUQIgbYD7TPwrVJwKqXrn0G/Az4K4pigNTakiRJWRNcI5iYj2P4xOsT1p9dT/V51ekS1iXLeQDd7N3Y33s/wxsM5/tj31N3QV1O3jip56glSXotZmbQrRscOgQffqjuw+viAoMHw/nzBgnJJI/bqwZsSKP8FNA5C9fGCCFe/TX3FGAGuL34uwRZyv9VtmxZYmNjc63N1atXc+3aNYYMGZLlaw4cOECLFi24ePEixYsXB8Dr/9u78/AoqvTR49+XLEAIiUmQPSQjENlkJ0TjgoMgImYA2SSoKMgPt9EbEbzObxQElFVccBQH7kyicJVFfzLjIygqjjIsIncMyjLIGAQRAxNh2IIJvPePDjGdbpIm6XQnqffzPPWk+5xTVeftqq4+OXWqKiWFyMhI1q1bV+7833zzDW3btqVevXocOnSI6OhojzIHDx5k5syZvP/+++zfv5/IyEgSExO5+uqrmT9/PiEhIQAcPXqUOXPm8Pbbb7Nv3z7q1atHfHw8V111FTNnziQ2NrZ4mQUFBbzyyitkZmaya9cuRIQOHTowbtw4xo8fT506v/xPtXHjRvr168eePXtoVsX3fDLVW/OGzZnXfx6PX/M4C7cs5HTB6eLv6qYDm+jdoneZ393wkHBm95tNv9b9uP3t2+n1x160jW0bqOobY/zhyUsh7w148WWIj4cGvox0859AN/xigZ+8pOcBMZWY93y+BxGZAEwAaNXKp2tIaoWNGze6vR8yZAhdunRh6tSpxWl1/fz8wZUrV7J169aLavhNmjSJiRMnFjf6LlZmZiYA+fn5LF++nHvuucctPy8vj+TkZOrXr8+jjz5KUlISR44cYdu2bSxbtoxZs2YREhJCQUEBffr04ccff2TKlCl07tyZ48ePs337dpYtW0Zubm5xw+/MmTMMGjSITz/9lAcffJBnnnkGVeXdd9/l/vvvZ82aNaxYsaK4QXnllVeSmprK1KlTWbRoUYXiNLVLbP1YnrjuieL3G/dv5Kr/cxXdm3XnsdTHGNp+KCF1Qi44/w2X3UD2xGymfTKNQycOBaLKxhh/aoZrzJ8I/PgjbN8ObdpAQgKE/PLd/7oq+rNUNWAT8DPwjJf0mUBhOfN+AGz0kt4PUOCa8tbfo0cPLcuOHTvKzK/JEhISND09vUrXMXLkSG3durXP5T/77DMFdM+ePW7pvXv31r59+5Y7/7lz5zQhIUG7d++uTZs21dTUVI8yL730kgK6a9cur/Of9+677yqga9as8bqus2fPFr+eMmWKioi+9957HuXeeOMNBXTWrFlu6atWrdLw8HA9fPhwuXGVpTbvo06WX5Cvi79YrG1faKtMRZNeTNLFXyzWM4Vngl01Y0xVO3dO9aOPVNPSVBs1Ut27tzgL2Kp+bosFeozfT3jvmYvBe29eSXllzHs+31TQunXr6NOnD5GRkURGRnLzzTezc+dOtzJ//etfSUlJISoqioYNG9K+fXtmzZoFwKhRo3jzzTfZu3cvIoKI0K5duzLXuXjxYpKTk2nTpk2F6rx+/Xr27dvH2LFjSU9PZ8OGDezdu9etTF6ea7do0qSJx/wlT6mdL9e0aVOv6zp/6vbkyZMsXLiQIUOGMGDAAI9yI0eO5Prrr2fevHmcLXEF180330zdunXJysq6yCiNE9QNrcu47uPYef9Olg9bToOwBkxeN5mfz/4MUKnnARtjqjkRuP5615W/n3/uuhfgK6/AQw9VyeoCfar3a1xj9UrrAOzwYd4hIhKh7uP8OuDqSayyJ5v3+XMfj7QRHUdwX6/7OFVwioFLB3rkj+06lrFdx3Lk1BGGLR/mkX9vz3sZ2Wkk+4/t5/a3b/fIf+TKR7jl8lvYfWQ3lze63C9xXMhbb73F8OHDGTJkCMuWLePs2bM888wzXHvttWRnZ9OsWTN27drF0KFDGT16NNOmTSM0NJQ9e/awf/9+AGbMmMG///1vdu3axYoVKwCoX79+metdu3Yto0ePrnC9MzMzCQsL47bbbuOHH35g/vz5ZGVlMW3atOIyycnJAAwfPpzJkyeTmppKRESEx7J69uxJnTp1GDduHL///e/p06eP1/GCmzdv5uTJk6SlpV2wXmlpaXz88cdkZ2fTrVs3wHVaPTk5mTVr1pCRkVHhmE3tFlInhOEdhzOswzByjuYQGR7J2XNnue7P19G/dX8eSH6A2PpeR7UYY2qDxETX3/R0+Oc/4YUX/L6KQPf4rQZSROSy8wkikgikFuWVN28YJS4CEZFQYCTwvqqe8XdlneDcuXM89NBD3HjjjaxcuZK0tDSGDBnCmjVrKCgo4Pnnnwdg69atFBYWsmjRIm688Ub69u3LxIkTmTlzJgBt2rQhLi6OunXrkpKSQkpKCl26dLngevft28cPP/xQZpmynDx5klWrVnHTTTfRqFEjrrjiCrp27UpWVpZb70j//v15/PHHWb9+Pf379ycqKork5GSmT5/Of0pcUt+uXTtefPFFduzYweDBg4mJiaFz58489thj/Pjjj8Xlzjd0E89/Ob04n3e+7HndunVj0yZ7/JYpn4jwq5hfAXA0/yix9WN5cv2TJDyXwKT3J3Hw+MEg19AYU6UaNoQePapm2f4+d1zWBDTA1TO3HdftW9KAL4F/AZElyiUAhcATpeZ/A9cp4fFAX2AlkA9092X9NsbPc4xfdna2Arp06VItKChwm2644Qa98sorVVX166+/1pCQEL3lllt01apVXseqXcwYv7///e8KeB0n58sYv8zMTAV05cqVxWkLFixQQD/55BOP8gcOHNBFixbpHXfcoa1atVJAExIS9MiRI27ljhw5oq+99prec889mpSUpIDGxsbq7t27VVX1T3/6kwK6fv36C9btrbfeUkDfeecdt/TZs2croMePHy8ztrLU5n3UlC37ULamr0rXkGkhGj49XDcf2BzsKhljqhhVMMYvoKd6VfWkiPwaWAC8BgjwIfCwqp4oUVSAEDx7JO/CdSHIDOASXI3GAaq6rarrXlvl5uYCkJ6eTnp6ukd+UlISAB06dOC9995j7ty5jB49moKCAlJSUpgzZw6pqakXvd78/Hyg4lcWZ2ZmEhUVxTXXXMPRo65noQ4cOJBHHnmEzMxMrr3W/Ul+LVq0YMKECUyYMAFV5dlnn2XSpEksWLCAGTNmFJeLi4tjzJgxjBkzBoDly5czatQonnrqKV5//XXi4+MByMnJ4brrrvNat3379gEUlz3v/Knv06dPExkZWaG4jXNd0eQKXh/6Ok9d/xRLti2he7PuAIxeNZrVu91PmCRcksDX97muBkz7v2l89O1HbvkdG3dk8/jNAPw689ds+X6LW37vlr358I4PAej1x17sPOw+3rfvZX15Z5TrzlztX2rP/mPuvduD2w3m9aGvAxC/IJ6fTrsP4R7TeQyvDHoFgJjZMRScdX+w/cSeE5nXfx5nCs8QNyfO47OYdNUkpvaZypFTR0h8LtEjf2qfqUy6ahI5R3Po9IdOHvnz+8/nv3r+F1/lfkXK4hSP/EWDFpHeOZ1NBzZxQ9YNHvlLhy7lN+1+w7p/rWPwG4M98t8Z9Q59L+vL2zvf9jqU58M7PqR3y9689uVr3PvuvR75W+7ZQodLO/Dy5y/z6AePeuTvuH8HraJbMXfDXKZ9Ms0j/7v/9Z2rl/jjJ5m/cb5Hft6UPMJDwslYm8GrX7zqlhceEk7eFNeY5wl/mcCy7cvc8uMi4tj3sOsYZ/teoke+P/c9b9vOHwI9xg9V/Q64tZwyObgaf6XTTwMZRZPxg7g41449f/58j8YSQL169Ypf9+vXj379+pGfn89nn33G7373OwYOHMh3333ndTycL+v96afyrunxtH//ftavX8+5c+e8XrSxYsUKFi5ceMExhiJCRkYGTzzxBDt2lD20dMSIEUydOrW4XEpKCg0aNGD16tXceeedXudZvXo1jRo1onPnzm7peXl5iIjb/QCNuViXxVzGzL4zi9/3b92f5g2bu5UpOQ5wUNIgkuKS3PKbRf5yP8kh7YYUNyLPS4hOKH49suNIj1vGlFxe+hXpHM0/6pZ/ReMril+P7TKW04Wn3fJ7Ne9V/HpC9wmcVfdHWV3d6mrANeZxYs+JlJbcwjV2t35ofa/53Zq6xtY2DG/oNb9jY9dQ89j6sV7zz4+rbhrZ1Gv+ZTGu0UrxUfFe81tGtQSgdWxrr/lNIpsUr8dbfkw91zWLnRp38prfMLwhAN2bdfeaXy/Uddzu3bK31/w64upTuabVNcWvzwuRX24lcn3i9UTVjXLLjwj7ZYy07XtVu+/d1OYmVrLSo0yl+bsLsTpPdqrX81RvYWGhNm/eXMePH3/Ry3zzzTcV0OzsbFVVveOOO7R58+Y+zXvixAkNDQ3VuXPneuSVd6p3xowZCuiSJUv0448/dpvmzJlTfOpaVfXgwYNaWFjosYycnBwF9L777lNV1dzcXM3Pz/cod+zYMY2OjtaBAwcWp02aNKnc27k8/fTTHnl33nmntm3b9oJx+aI276PGGGPcUdNP9ZrqJyQkhIULFzJ8+HBOnTrFrbfeSlxcHIcOHWLDhg0kJSXxwAMP8MILL/D5558zYMAAWrZsyeHDh3n66adp1apV8W1bOnToQFZWFkuWLKFz585ERETQsaO3i7ihQYMG9OjRgy1btnjNz83NZeVKz/90unXrRlZWFu3atePuu+/2yE9NTWXu3LlkZmYyevRolixZwuLFi7n77rtJTk6mXr167Nq1i3nz5hEREcG997pOs6xdu5ZHHnmEu+66i9TUVKKjo/n22295/vnnOXHiBA8//HDxOqZPn862bdsYPHgwv/3tb+nfvz+qrhs4v/TSS6SlpTF58mSPum3evNlrr6oxxhgTMP5uSVbnyXr8LnwD57/97W86YMAAveSSS7Ru3bqamJiot912m27evLk4f9CgQdqiRQsNDw/XZs2a6ahRo9xuvnzs2DEdNmyYRkdHK6CXX355mXV69tlnNTo62qOnrXfv3orrptwe01NPPaWAzpkz54LLzcjI0Dp16uiBAwc0OztbH3zwQe3SpYvGxMRoaGioNmvWTEeMGKFffvll8Tw5OTk6efJk7dWrlzZq1EhDQkL00ksv1UGDBnm9WOTnn3/W5557Trt3764REREaERGhvXr10j/84Q9eexi/+eYbBfSDDz4o8zMpT23eR40xxrijCnr8xLVcZ+jZs6du3br1gvk7d+6kffv2AayRs+Xl5REfH09mZibDhnne67A2mTZtGkuXLmX37t0+PUf5QmwfNcYY5xCRL1S1pz+XGej7+BlTLDY2loyMDGbPnh3sqlSpEydOsHDhQmbMmFGpRp8xxhhTWTbGzwTVlClTCA0NJTc3l8aNGwe7OlUiJyeHyZMnM2LEiGBXxRhjjMNZw88EVWRkJE8++WSwq1GlOnXqRKdOnvdzMsYYYwLNTvUaY4wxxjiENfxKcdLFLqZmsX3TGGNMZVnDr4SwsDBOnz5dfkFjguD06dOEhYUFuxrGGGNqMGv4ldC4cWO+//57Tp06Zb0rptpQVU6dOsX3339fay+AMcYYExh2cUcJUVGuZxIePHiQgoKCckobEzhhYWE0adKkeB81xhhjKsIafqVERUXZj6sxxhhjaiU71WuMMcYY4xDW8DPGGGOMcQhr+BljjDHGOIQ1/IwxxhhjHMIafsYYY4wxDmENP2OMMcYYhxAn3ahYRI4Du/2wqGjgmJ/KXijfW3rptLLel3zdCDjiY33LYnFXvqzFXX66xV3+e4vb4q4si7vyZQMR9+Wq2tDH+vpGVR0zAVv9tJxX/VX2Qvne0kunlfW+1GuL2+K2uC1ui9vitrgdGnfJyU71Vsxf/Fj2Qvne0kunlfX+YuroK4u78mUt7vLTLe7y31vc/mNxV76sxV1+erDjLua0U71bVbVnsOsRaBa3s1jczmJxO4vF7SxVEbfTevxeDXYFgsTidhaL21ksbmexuJ3F73E7qsfPGGOMMcbJnNbjZ4wxxhjjWNbwM8YYY4xxCGv4GWOMMcY4hDX8fCAid4mIisjgYNclEETkQxH5UkT+ISKfikjXYNepqolIPRH5HxHZWRT3WhG5LNj1CgQReVxEdovIudq6j4tIaxH5TET+KSL/T0QccXWgE7ZtaQ7/Ljvu2F2SA3+rc4q+3/8omsb7Mp81/MohIgnAPcCmYNclgIaqahdV7Qo8C/w5yPUJlJdVtX1R3H8BFge7QgHyITAQ+FuwK1KFXgH+rKpJwGRgqYhIkOsUCE7Ytt449bvs1GO3U3+rAUaqateiyaf9vMY0/ESkpYi8KCIbReRUUas+8QJl40VkpYgcE5H/iMhbItKqAuusAywBHgTOVCqACgpG3Kpa8jEyURWseqUEOm5VzVfVtSWSNgEB7yUI0vberKp7K1t3f/Ln5yAilwIpQCaAqn5QlNWjisO4aP7e/tVx23rjz7iry3fZF1WwvYN+7PaFv+OuDr/VvgjG8d2bGtPwA9oAI4CfgE8vVEhEIoCPgHbAncDtQFvgYxFpcJHrzAA2qOoXFaqxfwQjbkRkqYgcAKYDYypQ78oKStwlPAi8U4n5KyrYcVcX/vwcWgEHVbWgxKz7itKrG6du/6qMO1jfZV/4Pe5qcOz2hb/jrg6/1b6oiv08S0S2i0iWiLTwqRb+fgZcVU1AnRKvxwMKJHop9xBwFmhTIu1XQCGQUSJtG64HPnub4oGOuP5TDCsqvx4YXNvj9rLc8cC7Toob+N/ARiDCYXEHZR+v6s8BV8/e7lLzfYDrtFjQY63K7V8dt22A4w7adzmYcZdYXsCP3YGOm2ryWx2M7Q0kFP0NBZ4ANvpSjxrT46eq53wsmgZsUtVvSsz7LbAB+E2JtO6q2ugC037gWiAB2CMiObhOFb0qIvf6KyZfBCHu0pYA/UQkrjJxXKxgxS0ik4BbgZtU9ZR/ovFdNdje1YKfP4fvgOYiElZivoSi9GrF39u/pqiKuIP9XfZFFW/voBy7feHnuKvFb7UvquD4vq/obyGwAOhd6jjnVY1p+F2EjsBXXtK/Bjr4uhBVfVlVm6lqoqom4vqPYoKqvuyfavqdX+IWkRgRaVYi6VYgF8irXPWqjF/iBhCRDOA2oJ+qHvVD3aqS3+Ku4cr9HFT1MLAFGAsgIv0AAar7aaGyOHX7+xR3Dfsu+6LcuGvgsdsXvny/a9pvtS982d4NROSSEnnpwFfqPqTFq1C/VLF6icV1/ry0PCAmwHUJJH/FHQO8KSL1gHO4DhyDtKg/uRryS9wi0hKYD/wL1zgKgEKtvg8F99t+LiL/DUwELgU6ichCoKeqHqp0Lauer5/DRCBTRB4FTgHp1Xif9oVPcdfwbetNuXHXwO+yL3zZ3jXt2O0L+z13VzLuJsAqEQnB9Y/sfmC4LwuvjQ0/cJ03L61St25Q1T6VmT9AKh23qv4L6OWf6gSMP+I+cLHzVAN+2c9VdQYwo/LVCZpyPwdV3QNcFZjqBIwvcdf0betNmXHX0O+yL8qLuyYeu31xUce5GvJb7Qtftne3iiy4Np7q/QlXa7m0GLy3oGsLi9udxe0MTv0cLG53FnftZHG780vctbHh9zWu8+OldQB2BLgugWRxu7O4ncGpn4PF7c7irp0sbnd+ibs2NvxWAylS4hE9RTdITC3Kq60s7iIWd62OuzSnfg4WdxGL2+Kuhao0bqlJ4z5FZFjRy764BizfBxwGDqvqJ0VlGgBfAqeB/8Z1nnw60BDorKonAl3vyrK4LW4cEHdpTv0cLG6LG4vb4q7KuMu6yV91m4qC9zatL1WuFbAK+A9wHPgfvNwksaZMFrfF7YS47XOwuC1ui9virvq4a1SPnzHGGGOMqbjaOMbPGGOMMcZ4YQ0/Y4wxxhiHsIafMcYYY4xDWMPPGGOMMcYhrOFnjDHGGOMQ1vAzxhhjjHEIa/gZY4wxxjiENfyMMcYYYxzCGn7GGFMBIvIrEVERyRWRccGujzHG+MKe3GGMMRUgIg2B3sBLQKSqtghylYwxplzW42eMMRWgqsdVdR2wBGguIo2DXSdjjCmPNfyMMaZydhf97RLUWhhjjA+s4WeMMRUkIgJkFL3tHMy6GGOML6zhZ4wxFXcfcCVwEuvxM8bUAHZxhzHGVICIJALbgXnAtUCcqnYNZp2MMaY81uNnjDEV80fgG+Bp4B9AexEJC26VjDGmbNbwM8aYiyQiE4DrgLGqWoCr4RcOtAtqxYwxphzW8DPGmIsgIi2BucAMVf2yKPkfRX/tAg9jTLVmDT9jjLk4rwJ7gWdKpO0EzmAXeBhjqrnQYFfAGGNqChEZC9wA9Co6xQuAqhaKyFdYj58xppqzq3qNMcYYYxzCTvUaY4wxxjiENfyMMcYYYxzCGn7GGGOMMQ5hDT9jjDHGGIewhp8xxhhjjENYw88YY4wxxiGs4WeMMcYY4xDW8DPGGGOMcYj/DyzdIfBBNon4AAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Plot our performance on both the training and test data\n", "plt.semilogx(lmbdas, train_errors_leastsq, 'b',label='Train (OLS)')\n", "plt.semilogx(lmbdas, test_errors_leastsq,'--b',label='Test (OLS)')\n", "plt.semilogx(lmbdas, train_errors_ridge,'r',label='Train (Ridge)',linewidth=1)\n", "plt.semilogx(lmbdas, test_errors_ridge,'--r',label='Test (Ridge)',linewidth=1)\n", "plt.semilogx(lmbdas, train_errors_lasso, 'g',label='Train (LASSO)')\n", "plt.semilogx(lmbdas, test_errors_lasso, '--g',label='Test (LASSO)')\n", "\n", "fig = plt.gcf()\n", "fig.set_size_inches(10.0, 6.0)\n", "\n", "#plt.vlines(alpha_optim, plt.ylim()[0], np.max(test_errors), color='k',\n", "# linewidth=3, label='Optimum on test')\n", "plt.legend(loc='lower left',fontsize=16)\n", "plt.ylim([-0.1, 1.1])\n", "plt.xlim([min(lmbdas), max(lmbdas)])\n", "plt.xlabel(r'$\\lambda$',fontsize=16)\n", "plt.ylabel('Performance',fontsize=16)\n", "plt.tick_params(labelsize=16)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Understanding the results\n", "\n", "Let us make a few remarks: \n", "\n", "(i) the inverse (see [Scikit documentation](http://scikit-learn.org/stable/modules/classes.html#module-sklearn.linear_model)) regularization parameter $\\lambda$ affects the Ridge and LASSO regressions at scales, separated by a few orders of magnitude. Notice that this is different for the data considered in Notebook 3 __Section VI: Linear Regression (Diabetes)__. Therefore, it is considered good practice to always check the performance for the given model and data with $\\lambda$ over multiple decades. \n", "\n", "(ii) at $\\lambda\\to 0$ and $\\lambda\\to\\infty$, all three models overfit the data, as can be seen from the deviation of the test errors from unity (dashed lines), while the training curves stay at unity. \n", "\n", "(iii) While the OLS and Ridge regression test curves are monotonic, the LASSO test curve is not -- suggesting the optimal LASSO regularization parameter is $\\lambda\\approx 10^{-2}$. At this sweet spot, the Ising interaction weights ${\\bf J}$ contain only nearest-neighbor terms (as did the model the data was generated from).\n", "\n", "__Gauge degrees of freedom__: recall that the uniform nearest-neighbor interactions strength $J_{j,k}=J$ which we used to generate the data was set to unity, $J=1$. Moreover, $J_{j,k}$ was NOT defined to be symmetric (we only used the $J_{j,j+1}$ but never the $J_{j,j-1}$ elements). The colorbar on the matrix elements plot above suggest that the OLS and Ridge regression learn uniform symmetric weights $J=-0.5$. There is no mystery since this amounts to taking into account both the $J_{j,j+1}$ and the $J_{j,j-1}$ terms, and the weights are distributed symmetrically between them. LASSO, on the other hand, can break this symmetry (see matrix elements plots for $\\lambda=0.001$ and $\\lambda=0.01$). Thus, we see how different regularization schemes can lead to learning equivalent models but in different gauges. Any information we have about the symmetry of the unknown model that generated the data has to be reflected in the definition of the model and the regularization chosen." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercises: ### \n", "
    \n", "
  • Plot a histogram of the distribution of the components of ${\\bf J}$ at different values of the number of training sample (one can go up to $2\\times 10^4$). What happens with the sampling noise as the number of samples is increased/decreased for the three types of regression considered? How do the matrix elements plots above change?\n", "\n", "
  • Try to learn the underlying model of the data, assuming it lies within the class of one-body Hamiltonians, i.e. make the ansatz \n", "$$H_\\mathrm{model}[\\boldsymbol{S}^i] = \\sum_{j=1}^L h_jS_{j}$$\n", "for some unknown field $h_j$. How well can you explain the data? How well does the model generalize? Study these problems by playing with the size of the data set. Try out all three regression models and determine which one does the best. What is the relationship to Mean-Field Theory of this model?\n", "
" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "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": "3.7.1" } }, "nbformat": 4, "nbformat_minor": 1 }