{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Markov state model for pentapeptide\n", "=====\n", "\n", "In this notebook we will give a brief overview of some of PyEMMA's capabilities by analyzing MD simulations of a Pentapeptide with Markov state models. We will demonstrate how to compute metastable states and visualize their structures, how to compute the equilibrium probabilities of and transition rates between metastable states, and how to compute transition pathways." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First we import pyemma and check what version we are using." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'2.5.4+48.gdc553f78.dirty'" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import pyemma\n", "pyemma.__version__" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This notebook has been tested for version 2.5. If you are using a different version some adaptations may be required.\n", "\n", "Now we import a few general packages, including basic numerics and algebra routines (numpy) and plotting routines (matplotlib), and makes sure that all plots are shown inside the notebook rather than in a separate window (nicer that way)." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import os\n", "import matplotlib\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "%matplotlib inline\n", "matplotlib.rcParams.update({'font.size': 12})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we import the PyEMMA modules required for the following steps." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "import pyemma.coordinates as coor\n", "import pyemma.msm as msm\n", "import pyemma.plots as mplt" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "import warnings\n", "def plot_sampled_function(xall, yall, zall, ax=None, nbins=100, nlevels=20, cmap=plt.cm.bwr, cbar=True, cbar_label=None):\n", " # histogram data\n", " xmin = np.min(xall)\n", " xmax = np.max(xall)\n", " dx = (xmax - xmin) / float(nbins)\n", " ymin = np.min(yall)\n", " ymax = np.max(yall)\n", " dy = (ymax - ymin) / float(nbins)\n", " # bin data\n", " eps = x\n", " xbins = np.linspace(xmin - 0.5*dx, xmax + 0.5*dx, num=nbins)\n", " ybins = np.linspace(ymin - 0.5*dy, ymax + 0.5*dy, num=nbins)\n", " xI = np.digitize(xall, xbins)\n", " yI = np.digitize(yall, ybins)\n", " # result\n", " z = np.zeros((nbins, nbins))\n", " N = np.zeros((nbins, nbins))\n", " # average over bins\n", " for t in range(len(xall)):\n", " z[xI[t], yI[t]] += zall[t]\n", " N[xI[t], yI[t]] += 1.0\n", " \n", " with warnings.catch_warnings() as cm:\n", " warnings.simplefilter('ignore')\n", " z /= N\n", " # do a contour plot\n", " extent = [xmin, xmax, ymin, ymax]\n", " if ax is None:\n", " ax = plt.gca()\n", " ax.contourf(z.T, 100, extent=extent, cmap=cmap)\n", " if cbar:\n", " cbar = plt.colorbar()\n", " if cbar_label is not None:\n", " cbar.ax.set_ylabel(cbar_label)\n", " \n", " return ax" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "def plot_sampled_density(xall, yall, zall, ax=None, nbins=100, cmap=plt.cm.Blues, cbar=True, cbar_label=None):\n", " return plot_sampled_function(xall, yall, zall, ax=ax, nbins=nbins, cmap=cmap, cbar=cbar, cbar_label=cbar_label)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Load pentapeptide coordinates and select features\n", "------\n", "\n", "We first have to load the PDB file and the trajectory data, in this case for WW-pentapeptide. They are stored on a FTP server and can easily be downloaded with mdshare. Please use `pip install mdshare` for installation." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "from mdshare import fetch" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "topfile = fetch('pentapeptide-impl-solv.pdb')\n", "traj_list = [fetch('pentapeptide-*-500ns-impl-solv.xtc')]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can decide here which features we would like to use in the further analysis. In this case backbone torsions. As we want to do TICA on those coordinates, which requires subtracting the mean from each feature, we cannot use angles directly but have to transform them into a space where an arithmetic mean can be computed. We are using the cos/sin transform to do this, specified by the *cossin* option." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "feat = coor.featurizer(topfile)\n", "feat.add_backbone_torsions(cossin=True)\n", "feat.add_sidechain_torsions(which=['chi1'], cossin=True)\n", "#feat.add_distances(feat.pairs(feat.select_Heavy()))\n", "# describe the features\n", "# feat.describe()" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "24" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "feat.dimension()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we define the source of input coordinates (we don't load them into memory at this stage - they will be loaded as needed). Compute a few basic data statistics gives:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "number of trajectories = 1\n", "trajectory length = 125025\n", "trajectory time step = 0.0039992321474276935 ns\n", "number of dimension = 24\n" ] } ], "source": [ "inp = coor.source(traj_list, feat)\n", "print('number of trajectories = ',inp.number_of_trajectories())\n", "print('trajectory length = ',inp.trajectory_length(0))\n", "print('trajectory time step = ', 500.0 / (inp.trajectory_length(0)-1),'ns')\n", "print('number of dimension = ',inp.dimension())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "TICA and clustering \n", "-----" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For TICA we have to choose a *lag* time and we have to define the output dimension. This can be either set by the *dim* keyword, or by specify a percentage the kinetic variance we want to keep. Here we choose 90%, which gives us three dimensions. From the original 16-dimensional space, most of the relevant kinetic information is in a four-dimensional subspace." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "TICA dimension 4\n" ] } ], "source": [ "tica_obj = coor.tica(inp, lag=20, var_cutoff=0.9, kinetic_map=True)\n", "print('TICA dimension ', tica_obj.dimension())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can have a look at the cumulative kinetic variance, which is similar to the cumulative variance in PCA. Three dimensions explain 78% of the data, five dimensions 95%." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0.28356454, 0.55635369, 0.77896131, 0.91687513, 0.95379078,\n", " 0.97751625, 0.99390137, 0.99867432, 0.99918769, 0.99932942,\n", " 0.9994593 , 0.99958471, 0.99969495, 0.9997838 , 0.99983961,\n", " 0.99988354, 0.99991884, 0.99994675, 0.99996639, 0.99997953,\n", " 0.9999894 , 0.99999821, 0.99999983, 1. ])" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tica_obj.cumvar" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "# here we do a little trick to ensure that eigenvectors always have the same sign structure. \n", "# That's irrelevant to the analysis and just nicer plots - you can ignore it.\n", "for i in range(2):\n", " if tica_obj.eigenvectors[0, i] > 0: \n", " tica_obj.eigenvectors[:, i] *= -1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we get the TICA output, i.e. the coordinates after being transformed to the three slowest components. You can think of this as a low-dimensional space of good reaction coordinates. \n", "Having a look at the shape of the output reveals that we still have 25 trajectories, each of length 5001, but now only three dimensions." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "6ab8d88f8cd84bda93ae4c3c21d53b82", "version_major": 2, "version_minor": 0 }, "text/html": [ "

Failed to display Jupyter Widget of type HBox.

\n", "

\n", " If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n", " that the widgets JavaScript is still loading. If this message persists, it\n", " likely means that the widgets JavaScript library is either not installed or\n", " not enabled. See the Jupyter\n", " Widgets Documentation for setup instructions.\n", "

\n", "

\n", " If you're reading this message in another frontend (for example, a static\n", " rendering on GitHub or NBViewer),\n", " it may mean that your frontend doesn't currently support widgets.\n", "

\n" ], "text/plain": [ "HBox(children=(HBox(children=(Label(value='getting output of TICA'),), layout=Layout(max_width='35%', min_width='35%')), HBox(children=(IntProgress(value=0, max=25), HTML(value='')), layout=Layout(padding='0 0 0 20px'))), layout=Layout(display='flex', width='100%'))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\r", "number of trajectories = 25\n", "number of frames = 5001\n", "number of dimensions = 4\n" ] } ], "source": [ "Y = tica_obj.get_output() # get tica coordinates\n", "print('number of trajectories = ', np.shape(Y)[0])\n", "print('number of frames = ', np.shape(Y)[1])\n", "print('number of dimensions = ',np.shape(Y)[2])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that at this point we loaded the compressed coordinates into memory. We don't have to do this, but it will significantly speed up any further analysis. It is also easy because it's low-dimensional. In general, after the TICA-transformation we can often keep the data in memory even if we are working with massive data of a large protein. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we look at the distribution on the two dominant TICA coordinates (three are hard to visualize). For that, we build a histogram of the first two TICA dimensions and then compute a free energy by taking\n", "$F_i = -\\ln z_i$, where $z_i$ is the number of bin counts." ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [], "source": [ "def plot_labels(ax=None):\n", " if ax is None:\n", " ax = plt.gca()\n", " ax.text(-2, -4.7, '1', fontsize=20, color='black')\n", " ax.text(-1.2, -5, '2', fontsize=20, color='black')\n", " ax.text(-4.2, 1.5, '3', fontsize=20, color='black')\n", " ax.text(-0.1, 0, '4', fontsize=20, color='white') " ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mplt.plot_free_energy(np.vstack(Y)[:,0], np.vstack(Y)[:,1]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's have a look how one of the trajectories looks like in the space of the first three TICA components. We can see that the TICA components nicely resolve the slow transitions as discrete jumps." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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The k-means algorithm requires as input the number of clusters *n_clusters*. For the metric there is only one choice possible here which is *euclidean*." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "n_clusters = 250 # number of k-means clusters" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "f37d32352a0f48d2bd1adbbc6203eca1", "version_major": 2, "version_minor": 0 }, "text/html": [ "

Failed to display Jupyter Widget of type HBox.

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\n" ], "text/plain": [ "HBox(children=(HBox(children=(Label(value='initialize kmeans++ centers'),), layout=Layout(max_width='35%', min_width='35%')), HBox(children=(IntProgress(value=0, max=250), HTML(value='')), layout=Layout(padding='0 0 0 20px'))), layout=Layout(display='flex', width='100%'))" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "05b1ecec790d4c88b55cb9ba48a92026", "version_major": 2, "version_minor": 0 }, "text/html": [ "

Failed to display Jupyter Widget of type HBox.

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\n", " If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n", " that the widgets JavaScript is still loading. If this message persists, it\n", " likely means that the widgets JavaScript library is either not installed or\n", " not enabled. See the Jupyter\n", " Widgets Documentation for setup instructions.\n", "

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\n", " If you're reading this message in another frontend (for example, a static\n", " rendering on GitHub or NBViewer),\n", " it may mean that your frontend doesn't currently support widgets.\n", "

\n" ], "text/plain": [ "HBox(children=(HBox(children=(Label(value='kmeans iterations'),), layout=Layout(max_width='35%', min_width='35%')), HBox(children=(IntProgress(value=0, max=10), HTML(value='')), layout=Layout(padding='0 0 0 20px'))), layout=Layout(display='flex', width='100%'))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "15-02-18 14:33:44 pyemma.coordinates.clustering.kmeans.KmeansClustering[2] INFO Algorithm did not reach convergence criterion of 1e-05 in 10 iterations. Consider increasing max_iter.\n", "\r" ] } ], "source": [ "clustering = coor.cluster_kmeans(Y,k=n_clusters)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The trajectories are now assigned to the cluster centers." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "5ba1696f6b9c450eaa2511a294c6a8cf", "version_major": 2, "version_minor": 0 }, "text/html": [ "

Failed to display Jupyter Widget of type HBox.

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\n", " If you're reading this message in another frontend (for example, a static\n", " rendering on GitHub or NBViewer),\n", " it may mean that your frontend doesn't currently support widgets.\n", "

\n" ], "text/plain": [ "HBox(children=(HBox(children=(Label(value='getting output of KmeansClustering'),), layout=Layout(max_width='35%', min_width='35%')), HBox(children=(IntProgress(value=0, max=25), HTML(value='')), layout=Layout(padding='0 0 0 20px'))), layout=Layout(display='flex', width='100%'))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\r" ] } ], "source": [ "dtrajs = clustering.dtrajs" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mplt.plot_free_energy(np.vstack(Y)[:,0], np.vstack(Y)[:,1])\n", "cc_x = clustering.clustercenters[:,0]\n", "cc_y = clustering.clustercenters[:,1]\n", "plt.plot(cc_x,cc_y, linewidth=0, marker='o', markersize=5, color='black')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The states are well distributed in phase space." ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "Implied timescales\n", "-----" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we calculate the implied timescales at a series of lagtimes defined in the *lags[ ]* array. Instead of an array you can just give a single number such as lags=100 in order to generate a range of lagtimes <= 100." ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "0bdc6c589fd344b395fdc1ed471cbfeb", "version_major": 2, "version_minor": 0 }, "text/html": [ "

Failed to display Jupyter Widget of type HBox.

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\n", " If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n", " that the widgets JavaScript is still loading. If this message persists, it\n", " likely means that the widgets JavaScript library is either not installed or\n", " not enabled. See the Jupyter\n", " Widgets Documentation for setup instructions.\n", "

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\n", " If you're reading this message in another frontend (for example, a static\n", " rendering on GitHub or NBViewer),\n", " it may mean that your frontend doesn't currently support widgets.\n", "

\n" ], "text/plain": [ "HBox(children=(HBox(children=(Label(value='estimating MaximumLikelihoodMSM'),), layout=Layout(max_width='35%', min_width='35%')), HBox(children=(IntProgress(value=0, max=12), HTML(value='')), layout=Layout(padding='0 0 0 20px'))), layout=Layout(display='flex', width='100%'))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\r" ] } ], "source": [ "its = msm.timescales_msm(dtrajs, lags=200, nits=10)" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "matplotlib.rcParams.update({'font.size': 14})\n", "mplt.plot_implied_timescales(its, ylog=False, units='steps', linewidth=2)\n", "plt.xlim(0, 40); plt.ylim(0, 120);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Error bars for the implied timescales can be obtained by bootstrapping." ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "618553f8fb584e568478d9293bb73ba1", "version_major": 2, "version_minor": 0 }, "text/html": [ "

Failed to display Jupyter Widget of type HBox.

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\n", " If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n", " that the widgets JavaScript is still loading. If this message persists, it\n", " likely means that the widgets JavaScript library is either not installed or\n", " not enabled. See the Jupyter\n", " Widgets Documentation for setup instructions.\n", "

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\n", " If you're reading this message in another frontend (for example, a static\n", " rendering on GitHub or NBViewer),\n", " it may mean that your frontend doesn't currently support widgets.\n", "

\n" ], "text/plain": [ "HBox(children=(HBox(children=(Label(value='estimating BayesianMSM'),), layout=Layout(max_width='35%', min_width='35%')), HBox(children=(IntProgress(value=0, max=11), HTML(value='')), layout=Layout(padding='0 0 0 20px'))), layout=Layout(display='flex', width='100%'))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\r" ] } ], "source": [ "its = msm.timescales_msm(dtrajs, lags=100, nits=10, errors='bayes', n_jobs=-1)" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8,5))\n", "matplotlib.rcParams.update({'font.size': 14})\n", "mplt.plot_implied_timescales(its, show_mean=False, ylog=False, dt=0.1, units='ns', linewidth=2)\n", "plt.xlim(0, 5); plt.ylim(0.1,22);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It can be seen that the timescales are approximately constant within the error. Below we will select a lag time of 12 steps (1.2 ns) to build a Markov model." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Estimate MSM\n", "-----\n", "\n", "The lagtime to estimate the Markov model is specified as *msm_lag* here. " ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "fraction of states used = 1.0\n", "fraction of counts used = 1.0\n" ] } ], "source": [ "msm_lag = 12\n", "M = msm.estimate_markov_model(dtrajs, msm_lag)\n", "print('fraction of states used = ', M.active_state_fraction)\n", "print('fraction of counts used = ', M.active_count_fraction)" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "a9033085d2294b92a672ea86423c651d", "version_major": 2, "version_minor": 0 }, "text/html": [ "

Failed to display Jupyter Widget of type HBox.

\n", "

\n", " If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n", " that the widgets JavaScript is still loading. If this message persists, it\n", " likely means that the widgets JavaScript library is either not installed or\n", " not enabled. See the Jupyter\n", " Widgets Documentation for setup instructions.\n", "

\n", "

\n", " If you're reading this message in another frontend (for example, a static\n", " rendering on GitHub or NBViewer),\n", " it may mean that your frontend doesn't currently support widgets.\n", "

\n" ], "text/plain": [ "HBox(children=(HBox(children=(Label(value='Sampling MSMs'),), layout=Layout(max_width='35%', min_width='35%')), HBox(children=(IntProgress(value=0), HTML(value='')), layout=Layout(padding='0 0 0 20px'))), layout=Layout(display='flex', width='100%'))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\r" ] } ], "source": [ "# test MSM\n", "M = msm.bayesian_markov_model(dtrajs, msm_lag)" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "b3f53633230445ed9de2d0f9c999debe", "version_major": 2, "version_minor": 0 }, "text/html": [ "

Failed to display Jupyter Widget of type HBox.

\n", "

\n", " If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n", " that the widgets JavaScript is still loading. If this message persists, it\n", " likely means that the widgets JavaScript library is either not installed or\n", " not enabled. See the Jupyter\n", " Widgets Documentation for setup instructions.\n", "

\n", "

\n", " If you're reading this message in another frontend (for example, a static\n", " rendering on GitHub or NBViewer),\n", " it may mean that your frontend doesn't currently support widgets.\n", "

\n" ], "text/plain": [ "HBox(children=(HBox(children=(Label(value='estimating BayesianMSM'),), layout=Layout(max_width='35%', min_width='35%')), HBox(children=(IntProgress(value=0, max=10), HTML(value='')), layout=Layout(padding='0 0 0 20px'))), layout=Layout(display='flex', width='100%'))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\r" ] } ], "source": [ "ck = M.cktest(4, mlags=11, err_est=False)" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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DWJszjG4S19iwIlIJXKmqCzrIczlwM27z1AYv7VrcJsr5sbHUMPoG1uYMo2v0hjnLY4G3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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "matplotlib.rcParams.update({'font.size': 14})\n", "mplt.plot_cktest(ck, diag=True, figsize=(7,7), layout=(2,2), padding_top=0.1, y01=False, padding_between=0.3, dt=0.1, units='ns')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From the MSM which is now stored in the object we called *M* various properties can be obtained. We start by analyzing the free energy computed over the first two TICA coordinates" ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [], "source": [ "# ... therefore we take the statistical weight of each simulation timestep (also available from the MSM object)\n", "# and use that to create a contour plot\n", "xall = np.vstack(Y)[:,0]\n", "yall = np.vstack(Y)[:,1]\n", "W = np.concatenate(M.trajectory_weights())" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [ { "data": { "image/png": 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YObLTGLOzuJmIrAdeDby9nG5F5PeBLcA7yhzJnKioyBtjvg4gIluAtZXsu6ZIJtXX3tdHrNhCTibxs1n1x5cIXcylUgwDbUEETWCpbwUus+87bDy9/WM9ORq6ZcZQEW+w5zVF+g5W1O63aQ3yfX3k02liOIF3OEpwxBizpYx2bwXuN8bMuNZQRH4L+CSQMsYcmesAy8H55KtJKRdIV5fWRc1kpo9NH4STu2yCMeDs4PjuMGKm2Qp94JbJEVrk+dEwogbCvDjDxTVa7eYBvksT7HCcCm9FhXtaRGQr8HfAbxhjZufxnwPzIvIich1wHUB7W9t8DKG69PVBOk2cKSzkqdIBdHcTRy3uESvw+d5eyGR4LJ1m40DolhlDhbwlUmSb3l78TIZcOh1G0gRZLoPrFhGML4ZNluYmVBcPQRWy2S50W8zMxl1TBiLyK8AvMXVUTdDutcCdwFXGmH+v3AhmZl5CKI0xO40xW4wxW1a1tMzHEKrOrO+ekaicIK69cIOwZfieQsMuR+1nR9EQ+mB/0s0jiH2f6qbS1QWdnRMjNF38++IgCHNNp12oa3V5G/B1Y0y0RAMist7Gzq+3hz4ErAS+FYmr//bpGKBz11QDW3g7Z/3dkyiV9yWZhO3byaVSeGj0yxrgYE9P6ILp7ATbZ/AfF11flbOpCqZ8gphirJPG4aht7JMknZ0a7dXTA6lU+DexlFNNV9iSN8Zsm+L4PiJxccaY0xIuWYpKh1B6IhJDg0LqRCR2ulZ1LThsfdSS9PWF5f2K6e9nOJHgIOpPDwTbDwppd3YWLP1iPFtspPB5ucVAAkvfCXzt092tAg8TFuZ5aIbTOJq7iO5u99S2RKi0AP858OHIfidwE3Bjha8zv8x1gnImK2r7dq0DG/kSetksfl+fTuYmEvjJJLmI3z8ParkFONFeuFRygrvYFZPN6t9BOo3X04OPLSCfSJAH4tlsWFB+qnFUcnyz6au7e+k+YVSRSodQ3shiE/RiAl9ntR95iybL/OgjePBZMqk3g6C9E/WFT5D9c6YJ7kxG3Sxo6otJbe3n0RXLPkz8+4iGx9pjeXvOlOsi+vqIpdNqNExVg7hcgr/Zcr4rqRTrgIOpFP5crzsddUxcXLgEWJqulLlQ7pL+UjHycyEQ8RJ+fEcNsX17edatfYqLocLsR5/SbB1gHxgucgl66TR+JoOXzbLKHjuODY+1/QVrJ4YDt05wPTufkytHlKNPEMHPUhzFk8kUMp7mu7un/pkzmcICvRiQr7bQLzGcyJ8KM3xBvVSqMOEarGStiJXtLPXFwSz/H2NoviGYmC5jkoVvnzJj2SytwXlouG2Qqyg4v54wj5Fn2xbcftMJfOQJIiBvbzh+Ol3SAPLQeQB/GqMnbyeJ6esjns2q0FcjnHcZzpJ3zB2/t1djzgNxn02cctT94nBg3TGJBJ71pzeh4bO5oARjgLWIo1/qIPldvd1vIVz5jG0b1BcGDdEtuACLbyBALLIGY13kOoW1Gz09WigeFfbok0MQLBDkUwrGNIpNmmefQAK84AkmWDzoOCWk/Hw61eGCc881d3zuc/M6hlPG1nWtiD/cWmGBtVURn6ijdrH+bI9I+gvrLw+s9MOEkTNRgmNR8Y6h+YwCggylRNoEHCTi47cE14gusIv39LAGaN7MhEyoQb9tjWg6jqBC2iBwa9iuoTHy2W7YN6o3gOGIVT9B9IEEPFRmqoGSbOkQ8+Bfl9dW3ji3ay0UnCU/FwJh7+k5tRJ6AcEEFUyMZXYsXazhUFjkFrxG/OhNqOgGIt1CWDsgSERXEPfrCdNVAw27oW13UYpqy0bbT+DqCfoCvbHk7UraRqD5KgpC3WDbtGGv1a7psvOR9Y4rtuq1AbgsrJtQdz2sH4RD2yJzBdYNVFHcxKtj1mzfPkGkZy30RQtXgIlfbMfSpUREDYSCGxSCCXQ6D6xvtCK7lXDRT5KJmUxBs59vDRPZAWFNYaDtbjRP0mjE4r7aJs7bnQYB7tECN37Ro0CwP9wIQzHIRVQmvgY6LgJvDHzrr/HGgHaIt0LbndByLTxlv0+5SFoOH9SgcswKJ/KVIHDXTLXAaToyGZcvxlE2wSTpcInPxkCF+n32NVpNzIr3eKOKsNeqNQsKN4J4+Fm+BeKboe5qaMgASa1rkGsHfg24QU+JivijkUtlI9uxoL5k9EawAi6t1wU07ZHP4o3QHoPl98C512hFNTfxOnecyFeKUw1ndCGQjlnS0Agt1nwPJjMD10xBtHNMK2b5FqClqLg8oRWeawevBWKbtW2+KbTIcx58LwZ3AXvGCFOd5qfYiHxu+9/TAqkYWqjeHtsWg/ev0UPL77JCn0qpNe+MoFPGibzDUSt0dZHLZNhno1bAFokhUkAmsOCjZSMjYu/HrLUehLw0Qez4ZLEP2h7YONHdMhTTJe17DhM67oPHijxwUl87V3dyx6vvAOAd93Vz+2Np8DbYjveCPBPemZqBdtjRDrSq0K/NQ91tsOpau07ABSGcMk7kTwWXd90xX2zfzmEbZTMhcqZU2yC9qJ0EnfSxp1vcC58M/Prw+FBM3TCB6wVgz3H0BjJstxFCi92cAd4G1r7wjdzyyhs4PnaSpvoGaPxNWJkgjNwnPGlsCH7eByPPQB52tMDvxNVtU3e3radQSYFfpm6ppYQT+dlSyWXfDsep0NWlEhmEWALDo9A+AA1BSGJQ9B104nUIaA8t9hhAU+hTj7pifuSpqN9FxKcebEP2dQQVeXMGxC6HFRugbgPQwpde8Ws8c8Lw9X2HuOElayHfAcNBxl3Ay0W2DbByAxzvg30PQQt8eBN8By2aUwvfMRG5Bn3AWY/+hrqMMfeVaHMTers9AXwbeI8xZqTa43MiP1tsDVdnyTvmjUymkBOmUCg+m+U48JJbgeg0T1AmMjKxGhA7rh9FI2B+5EV87YG1Hgj8MOqOGQZGrbgvv4TCEit/NX/84gSvbWvj8q8e5LVnrdBOjzTCfj/03dMMTc3hyqxVj8OKLji6F4aeYU+7zgNUw+A2yyZHA80FEfk14FPAm4F/RzOEl2IPcKkx5oiIxIEdaD3sP67caErjRP5UcALvmC9KJaqz5Pv62JdOs/5WCgXeAdgNXA11RTHxfkyFvh0V+qFYxDUTnTQtFvixl0H88oLljr8a8u2cFzuDT150Fp/54Qj33Z3ntVc0wqtQeeuFSeE+l6DbBR3QkoN4Fxz6NAzD8CpYWRtulZuAjxhjHrD7/1WqkTFmf9GhcSqa2X5qnMg7HLVEIOyl1mNYP/2hAS0LGdAQFITfCnVJVNVbI5E0VgXi0eWzRa7zCRZ8/HKoOw9ogXw75Nupyy3jjt9tY99hnw+87Rd6vZec1D6OHgIeo52ThTEN0QAPtOv2oWXgdUB8uPD0kGvV8RZWlM8Pq0Xkwcj+TmPMzmBHROqALcA3RGQQfS7538ANxphJy8xE5DLgn9Gp5ueAq6o5+AAn8g5HrVFK9FIpWgkXSE1Y9ToKDOjWbFe/1gGejYmPRs8U1llH50ix7wMXTd0GbWAFnuPL+IuLVvHS9gYu++2nyQ8Gs7PrgDN5OcO08gtWMl7o7mGWc1ew82g7tDdDPKY+fp7RMW0Fb1t6QqrkuWJkVu6aIzOkNTgT/TVfjT6zjAH3oHU1Pjjp2sbcD6wUkV8C3gnsLdWpiKxGi4P/BnAhWjbwGPAw6sv/sjHmcLk/xLzUeHU4HBUmkSisfI2Whjxst8C1TmDV52D5UZ2Ijc+UOyCw5r0N1gev/nf8OBxfxsUrlvOBy1r49KeP8cA3fg4McgmHSHACgLM4wXKeJRf59xKe5RpGgCF4wA7QX63XyNsbT7sGBnnp9KktNKw+wa/8FmPMQWPMEeCvgTdMd5Ix5r9QJ9pdxZ+JyCeAHwPnArejy8/Ot6+3A5uA/xCRT5Y7SGfJV4MgO6Dz3TtOF7aaWBBamSdM35u3ib7iaKhkIdwyB7FhWA3Em2Cw7JWgMRV4P07dCbijs5XHfzbGhz60H8jRzkk24NNuM8+M4ZMnz9OEbukXs4kLOcFenuOBA0yqZ/ko8Lq4mskeYT78uVLJiVdjzFEROQCcSpZHDzi7xPGngQ5jzIkSn/0Y+AdbYvUd5V7IWfLVwqVGdZxubEKz+sh+OcaGl7eRNjk1GRMwOTVlKcaWETfLOLetgQvOaeDEic0Y8+scNNfwFdPFZTeqp+Oq236dT5o/47V/8woe4F4OsBd/qtRj4w9BO1xpY/xbWPCW6JeA94hIm4isArqBbxY3EpFrRWS9KC8CPo5Gik7AGHML8NvTXdAYkzfG3FruACv6+xORF6KPFL8OHAHeb4z5h0peoyZwueAdp4Mg1XVAYK1joxWDRXu2QlMr0HAVJWM6vLzqeocH18QhWw/HghWp0wj+Cd9w23dG4CmAERo5wRrGOYNx2i46gzUXtfHYfYMMPvYkmR8+POn8vXiw1g7aOwDrYds6aH8CdesvfD6KPgw9jj6PfBX4uIisB34CXGCM2QdcgIZarkLLAXwLeP8Ufe4AvlKpAVb6Jvm36Dz8megSjH8WkYeNMY9U+DoOx9ImqAJldwO7OI/64CeQzdKEnXQNQisj6Q68vIZXLs+BvxkujkHCgz1RcY8RVvuIkPcN7/zCEbgbYJB2fsHl5LmQE1zy4QtZc1Eb//Tlb/Gt2/8PB9jLWjawlg14eByjTqNsLgGanofxn8IGeE9e5wvYrT9LDiqW48lImP2yIv0ZMwb8od2i7COSUMIY80FKTMZOgVRmdErFRF5EVgBvAhLGmBxwv4h8A3gLmhfP4XBUCusO9LAiaGvA+mi+dy+b1Xj6TCbMahAt3gFwGRBko7QTsivj0FEP17RAtgmODRNa8v5eGB+CuhZdrVr/PMSiHt84Q+QIHOzLrDd4FWcAFAT+LNYRI8a/6LMDvBRoycDIp6HFZqYchJFdtobt0kviVycir2EasTfGfLfczippyZ8DjBtjHo8cexh4dQWv4XA4IuRBC8wUuQh9u2gqls3SiAavtO2ONLArYetA7xK77bHLwNsY+uYL1nwMTSrm79UQyiAtAc3qblkLHFDDdS8eGyI+9xZeyMt5FU+zn/VsxMPjYZbzAG1wSRxanwf2Qjtc2grxJ4B32Lw1FRb452ViyOgCZTnq9p5K5A3w4nI7q+SPG0djOaMcIyzxWEBErgOuA2hva6vgEByOpUNQKnLSFGYmg2ejbIIv+GHg8IBGrjcHZQBvRa37JBPyyk8gSHMZWPRje1WCQEW+pVnvNAWRj7OXk+zF4wc3/Zjv3/QjfHw8PNazkRgxnmU5d9GsF70SteKfvQvOgx15WP53mku+RGLMpcKzxpiyRXwmKhldY2/rE2gmkrEiwBiz0xizxRizZVVLS/HHDoejDKJFsgv09RHr6WEVOsPno7N8+d5e8r297AdGIqthT96M+tM7gK1arm+CzzpWtPl7YXwvkI+4bFC/+lqAdoZ4IXutte7ZfzFixInzCCvoI64X7Ca04psegvPgvCfg0M0TXVCOuVFJS/5xwBORTcaYJ+yxCwE36epwVJquLnJdXeSiy/5t4jIPnSMNVr8W4swzmTBYZhCetNbyul3Q3IFa9Nh8NjFIxDTtjB6khMsmpkIfa9a7zSXAA3E4EOcBcuwtpDFQ038vHg/wAqAdro7rsp6WDBz7JLwC+uuhbsBOHFepUMh4bbhrKjrxWjFL3hjzLPB14CMiskJELgXeCNxRqWs4HI4iisN1bWbKYdR693t7tSBTOk1LNss6tMDIk6M6qRlY99xKIee8l4e1x+F3iq/VQGjNB8tgvVx4Awh887QTWPR30cy9xLiXmPrg6YBL2nWyddXjwF5Y8wycB8lh4G7rplnCCwmNMU0AIvK7pT4XkZtm01+l72l/CHwROAQ8A7zbhU86HKeRbLZQBzZvV157qKHdDjRYf3zTgKYn9vv61LIPXDWxcEVoex5uicF7Ap98QHGUTeMIBU9t4LZ5oB0OAAzZcHcbs3k1KvDrngZvEEZugCTcUg8t+wkjf6rE89SEJR/wSRE5boz5dnDApj3YiuavL4uK/rjGmF8Av1XJPh2OJUF3d1gQvhQzpcro6ytMtq7BumSyWchmVdiDCVaAOLTloO2YGh7rAAAgAElEQVRuYHcW7oQTF09e7h/34WIfLm3SmqyFyddRIi6bI+DFoT6u4ZSt9uRLUJE/YB8P1tpj64BVIxD7KRy7UTO0bNAVrnWHC8Ob6IZaurwB+BcReYsx5vsi8tfArwKvnU0ntXNPcziWKt3dxLJZ8lPkkae7u5CbphVovgoVdfWaTCoWUuBi4FOh9e7Xgzc2ud7rpFDKxmdg9F5NJla3AWJ7bThlhwp9zA7kfHRioIkwSqfpaSvw74MXqZumvx5WD1GoZuWDSwsCGGN+KiJXAfeIyB608tRrZ1tNyom8w7EQKBUPHlnV2oQawcPpNGPp9IRmTdhi3jaNMB2h6wVCET8wKRRnMnEP4vVhjdegUpQ69qOvz0D+3jD1sIea4Pn20KqHsPpT4wjEhtRFc+zGgsBva9WcOZ4tLXhoFPJVXAC10OPkRaSUlX47sA14F7BFROZtMZTD4agUdjFTHA2FbGsEri+KUQ7810FkTBzGN0KuqGj3cKNmmPxHwoLcAQl0gjVIN5zz9H1Q97XQPhpGeRIbO/+QFf3LI0KfK2SoxI9rDb/YkLX092okzapnoB1WroPf92H10fDpYalPuqKCXoo8YWHHeVsM5XA4KoUNd1xDZPGSre5UyDtzmT1uXTL5FjiyamLNVlBx3zHGxGpPlj0x2BGDS+vhGtTDkvM01W+hFCCE7pZoUe8YkC8SemKq2F5Q6s82Hv8p5PpU4Nt0zB8Dzjs60T1UwfKrJRlFf7aFijFmY6X7dCLvcCxEurrwenpobgQG4WQ0D3w7Ewpz+zHI23zwgXslCxwLhL3UFmCt8z0tul1aH1aHKrb6C0IPRCr5hULvbbB++nYKvp3xIXXrjD+kjyTrtY+VrTqpGwh83aj+nLW2ylVE7kWnlIOFx/9ljDl3mvYNwH8CcWPM2uqP0Im8w7EwSSbJ9ffzSCpFDM0R3zIAzbuBrtDnnm9Rd8xQDL5kBf7YGGEpqOJi3EG91uB4DPUB2bZ7bGKygARFxCLnRMk/pBE3gdCDDbV8SG8Mzehru75eg01Ehs04OQjcWjLRZS1wvTHmtjLb3oCGmJcs0SIiPwL+CrjHGHOyxOcNaATje40xryjngk7kHY4FTL6/n7yNngEr8lvVWA4iYnKeCvyO6Sz3YVRaAnE3Z0Qu8syEtscCV0zM5pUvpbzFNWCDfsafUWEPZouDG0JLuK1sChdaeXk0qiajTyszVSKcK6OUeEI5TYjIRqAT+FPg76Zo9jbgI8DnReQ/gMcIY5TOAS4Cvgt0lXtdJ/IOR40whnXb2AySXqOGPObiVriKRT14b0upUvcyW8F7Q2htAxztU4GG6Z3iUWGfzq8SRNQE/qXA+rcCfw06uTuhtmyHrsQtVE2tLT5ha64+BnzQGHPvFO1uAT7AND+lMeYnwNUi0o7Wdd2MFiU5Cvw98BZjzKHZDM6JvMNRawwCQ1AXjxTi9pgo8IHIjwBHz1BRj10e8ZfHwhNil2vc+8lnSl5uZb1NLzuTwzzw2ZcQ90D4ryGM5vGCJ4Qg4X0HeANUlVla8qtF5MHI/k5jzM6iNn+GVoA6if54/yQiSWPMk9FGNt7dM8bsEpHLZ7qwMWaICqWEcSLvcNQAHpHarVDaoxtjogV/CBg9Q0U8WLg0oZ6fFfqoVU/YZKWdhJ0gisWTt1FBD/ajlyhKMptF+4x76mryY/pEUhcHtkJ9lUV+lhwxxmyZroEx5t8iu18Wkd9DV6reEhy0BZX+yh4/7TiRdzgWOjYfTWHBkw2jPLFKRTLn2VWpMENN1nyJBhHzPCLQgcAHE697il1AwbWir0T2Aws+8sBAXn38WSgsnmr3dAK2rrzfRC1gmJxFchOwAbhPREB/0ytFZAi4xBizt5oDciLvcNQAQdIxQKs4XQ3L4yryBXdNVGwLce3PhFEvk7DKm79XUxXYcy6dqgZqcfhluQRCP6zFwbO2//Ptgis/BssHYd/NcLhKKYYD8lRu4lVEWoBXAP+Kzhm/Gc0t013UNIsuWA74FTTv50WUKMlbaZzIOxwLnMBV07AZjZkfsF6Sq2EF0N6kud8nCXAD4cpUf4P1x8OE2dPxvXoTCHIj2PBGCOPt90SjdqIEDwbF+0G74aL94L19Soj7asWvuA+e3AbD/f2z+bUsBOqxa7qAceCnwG8ZYx4TkVcB3zbGxI0xPthknICI/AJ43vrdp0RE6owx43MdpBN5h2OB4/f2crynZ0JFpwYbSklOi3xcHLfZIoMG0VWpMbRsn7fB+kUiS1cDK96GOV5ar4uUAhfQBKs3Fuk7Sr7E++IbQHBZy/moyMeOA3fbSlCngXEzRUjoKWCMOYymeSv12X1MEQtvo2/KWQh1UES+AtxhjHlwxtZTUMnyfw6Hoxokk+T7+3mCiWndg9w1Xl6TfN0EbAsSx9tFR5MYH9JexvdqXdVgsVLgP7fE/SkWQgWvUwl+wEk0smeESVE/WcLUAl6equeQr2Fejz4h/JOIPCoiHxCR9bPtxIm8w1Er9PZylCKhtyawN6aujwTWpx4Id+CyGX9IrXZ/L5x4QPPIjD+kN4NmNGFYq94o2vNFMewwMVomuCFMNcE7IeUBk8T+2Jha8muPw/LvwZMD4Neeq6bqGGMeMsb8KfBLwJ8AFwADIvI9EfkDG7UzI07kHY4awkdjvU8Gy2kiDoG4r+KZgIkRLg2omNc/BCe+Frpo2tFkYRvg0nXwL74+EbSMqtBfXMqah4mRM8VCHwj8VNE4LVoFasthWHkzPHK6ffEmMqaZtgWCMeZ51N//U3Si9peAa4H9IvKWmc53Iu9w1ArJJCQSBf1kELALorx8KM6TrPkgd4zN/siaZzRR2HoKAv9pOwnaMgqxYfWVB9b8ynomC3u072KhjwrkaCR9gk1MdmUOVv5fePJmTdvgKI2IrBKRbSJyP/AQKu5vNcacY4x5HXAF8NmZ+nETrw5HLbF9O35fH0fTadp2A126kGjFqGalXAtc6cP5cXhTk81DA6GPJxBlK9CXNoUumpbR0lWhEqBxJPVAUzgZeyxaEnCI0hOwQWimvcF8Dc0fz93Vz1NTkudZUFb6DBwAvocK+T3GmBPRD40xPxKRe2bqpCIiLyLXowlzNgNfMcZ0VaJfh8NRgq4ucuk0h0ahbYiCy6Yubt+26yKjj8VsEe4oQZKw+jDFQOCiCZ4IAgJL/hrUDQQTc7HfVQ/ZVo19Lwj9hAkDixX4lbYK1IongN21pLXzxouNMf89XYNytLZSlvzTaLzoFWgtGIfDUU06OzmcTtOyDRp2MClYL+7Da/JwSwzuarWFuJlYHKQ9r1vsuLpoYGIt2KCPoRITrIE1nwC17pus2AdCH6yehUK0z9eAtU/BydfBAIBz1czES0TkJSWOnwAOGGN+Xk4nFRF5Y8zXAURkC+XFfzocjtnQ3a0FvCOrQfPAU8DGbdBwAxo3X8TFvq4sfbQ+3A+iZwJxrxtFxTkHdR1hugQIFywVKk3Z1yAHTSLyPhvcTAKhDyz8dthmJ1vrroVMFWu4zkhtuWtuB86y758BggmOQ0C7iPwncI0x5onpOpkXn7yIXAdcB9De1jYfQ3A4aouZlvrvBpJQl4OVo8BGCs/UOS9cfNSeD2uqLj+KCvKQPR9gKyxv12280S6baglz17fbVASviVz6Yk8rUgFQD9l11l9vc+B8DbhkP6z4DXhkAOjtqsAvZElwO7AS+AtjzKiINKJTKMfQeq+fBj6HpiSeknkReZuucyfABeeea+ZjDA5HTdHVNelQDK2o1xDUgL0bLerdAStzwGYYWhX61jvs6tgVB9H4+iEgA+zWVAlgc9Vv1T6CpGErrLvlxKrQKxR16/gxiAcFQghdOAn0yeEV/wG8QwV+3o3oIISyNvifwBqbFgEr9B8EnjbGfFxE3otOzk7LjCJvaxi+eoqP9xhjLpviM4fDUS1soe+26AxY0crRlXHoqNeFUl6+SNxzaIosW4AEVPsaBu2xaF8dQBKWd4SHvMh18y3QXq8W/cWETwzeGMSHgHcQpmRIlIy8d5TmWfRX+sPIsZcBz9n3z5fTyYwib4y5fLYjczgc1ccHRkYj5VYDn3wg0O3Q0gh1hwnFPRDw3XBoVIW9fUCfBhqgIPhBu5OjkSeFOGEkTy5878V0C8IwVz4Vud7d2k8MKzbZ+Sq+V5P8BfB/ROQbwH5shCzwHvv569Df8LRUKoTSs33VAXUiEgP84DHD4XBUnjy6/DE2EGaoZPdEYa6z9VOJWOiHRrWWXMBTwMYBaLjKHogIfB40FGYAGm4FbiP02VihX55T/368+Iaym8INJ4+Ni+/srGoq4RmpoYlXY8zf28LeV6MTsI8Dr7QlAjHGfBP45kz9VMon/+fAhyP7negEwY0V6t/hcARkMnjZLD4axOIDawZU7INMAi0D0Bz4161oj4xC4LEpTj//FLBmFzRfRcGabxikUI30KcAfhXXXQvOdqNDnmJA+sg40XDKgI7zufiBf5Vzx84mIbEJvh3cbYzpLfH4j8EE0/DHgl40xP5uivzrgO8AVxpiPzmVslQqhvBEn6A5H5chk8Hp6AE01XBDHvj68dFqt4t5eAHI9PRxGU8IfJ1xJmh+F2K4wFcsokEskoKsL355XcKOgN4DhXbC+EbgevTnsUoHPWQt8f08Pm661sfn2yWECduIXKEzoHgTy823BB1TPkv9b4EcztPlfpW4ApTDGjIvIRiqQesalNXA4FiKZDKBfUL+vL4wrtwIdT6fJ2ZtAC9AaOTVI5X6UUM+C4lHxbJZcT0/hi59PJPCy2YJVPwo8OQqtN+t+oWxRZDwA3AqHBijcXNYHfnv72cjogsz1VRVE5Br0IeoHhLe4SnAT8HkR+TAaRVOIRLRJy8rCJShzOBYoPlYgiy3grq7AHc5m4OxGaLZbm41tP45a335/v6bx7e/XJwJ7ngf4dlGS39k5QYh91Po+SPhUEMtm8dJpPDumJwdgfyJBvr+fw52dPDmA+vt3wWPWLXSUyJPFQrDiZ89qEXkwsl1X3EBEmoGPAO8to78rReQXIvKIiLy7jPa3AW8Ffobm9xxDf52zKnviLHmHYyESXd1aSiA7O/HTaX1fZDs2D8LB0cmnBNb4GqzvPpvVY/Z4QG6aMMfhbJYcRS6kri6Gu7p4JJUKbxbRPuZrdWspZhcnf8QYs2WGNh8FbjfG7LdFuqfiq+jaoP9G68J+TUSGjTFfmeacjWWPdBqcyDscC5UZrN8grcGqAZs23rpMTpYSeOvLbyTUuDihX74JddXkYUZRnipkbqmlDRaRJJACXjpT2yAixvIDEfkMGjUzpcgHuWlEZBlwpjHm4KmM04m8w1HjHLWbZxcc5Zk5kiWGPvPH0VWzMVTk/cW+WKmyE6+XAxuAfdaKj6Mh5BcYYy6a4VwDTGv6i0gLmrbgavS/a4WI/CbwcmPMn5c7SCfyDkeNk4OJ8eelxL2rCz+ZZLSnZ0Lp10DvDjML7evr02vUpp+9kuwE7ors96CiP8nfLiJvBL6PesouBv4Y+MAM/X8BvX+/CAieBH6I5qxxIu9wLGpsLptcOq3+7xK5bUoRTKquihyLhl3OKNzd3cSzWfx0WsMiy7zuYsQY8xxhigFEJAfkjTGHReRVwLeNMcHSsWuALwLL0UiZTxljvjzDJV4HnGWMGRMRY695WERmldXRibzDUasEk7M9PZqKuJgghUDggrELqPKJBLlstjgFfXlks3jo5O3BdJpcJrOwJlZnwjCx0Hglu9b1QsH7+4hk+TfG/N4pdHkMWI3elwEQkfXR/XJwIZQORy2TTBYWRXnZbGGLWRFvQWPjY1ac/c5OFeX+fnI2dDLY/ESiLBdMkE4hiLsveYNxVILb0Cic1wDLROSVwJdRN07ZOEve4ah1kslC7dcAHwqhkS3ZLI1Yt0w0XNL66QshlDO5Xrq7iaFPAgX/fTJZWy6bGspdA3wKHe3fohV2vwjsAD4zm06cyDsci4UpxDaXShUiaPLFWSDLnUBNpfT8Je6HP50YYwxaHGRO/jAn8g7HYiaTKSQjm9UyyWL6+8lnMi6i5jQjIucCF1JUxdcY88Vy+3Ai73AsVvr6IJKKIA8aanmqLAaBr6HKUCLyATSn/MNEonjQn8KJvMOxpLECj42kyYFO0C4GoV46dKMLn/5zLp04kXc4FhOZjAp8NutEvRS1NfE6Cvx0rp24EEqHYzERiLoT+MXAh4BbRGSNiCyLbrPpxIm8w1FrREIlS7J9uxP4xUEf8E50hewYLtWww7EECFIDu0iXU6QOTMvMzQB4pqojKYOFkWpYRJajmdJSwAvRomAfMMZ8e659OxyOIuzCJ8fiZyGlGvbQOr2vBvYBbwC+KiKbjTF7K9C/w+FwVAZZDt6GMhvPryVfqVTDc/bJG2OeNcbcaIzZa4x53hjzTbSWwcvm2rfD4XAsZEQkLSIHRWRERB4XkXdM0/bFIvJNETkuIkdE5K9m6P4LaJKyFxGmVfsh8ObZjLHiPnkRORM4B3ik0n07HA7HAuMTwNuNMSdE5DzgXhH5sTHmoWgjEWkA/i+ah+bNwDiqk9Ox8FINi0g9cCfwZWPMlPGdtiDudQDtbbMar8PhcJw60jALd81DM7YwxkSNWWO3s0uc3AU8bYz568ixmRY5nZ5UwyJyr4iYKbb7I+2WAXegjxXXT9enMWanMWaLMWbLqpZyZ7odDodj4SEinxOR59CFSweBb5VodgmwV0S+bV0194rI5hm6Pj2pho0xl8/URrTA4e3AmcAbjDFzyoXkcDgc1WE2E6+sFpEHI/s7jTE7ixsZY/5QRN4DvBKt+3qiRF9rgdcAvwl8B/ifwD0icp4xZqoyJgsq1fDngfOBlDGmVK14h8PhqDWOGGO2lNPQGDMO3C8inWiN188WNRkF7g9Cy0WkF63Tej6agKxUnxVJNTzn6BoReRGwDUgCQyKSs9u1c+3b4XA4agwP9ckX85+ov/60M2dL3gbsSwXG4nA4HNVF6qGuvTJdaZTLa4FvopZ6Cvg94H+UaJ4G3isiKeB7wB8DR4BHKzKYaXC5axwOh+PUMKhr5gBwFOgFuo0x94jIeuvRWA9gjHkM6EQnTY8CbwR+cxp/fMVwuWscDscSQtA6WXPHGHMYXelf6rN9TK7m9HXg6xW5+CxwlrzD4XAsQER5p4h8V0T+0x77VRH53dn040Te4XA4FiYfAd4O7ATW22MHgD+bTSfOXeNwOJYQy6iUu+Y00AW81BhzREQ+b489Bbx4Np0sTJEP8mUDdHXN61AcDodjnqgDLc9LGH4Zjxwri4Un8n19eOl0YdfPZFz+bIdjrqRS+trfP7/jmHdqypL/FvDXIvInUMgs8FHgn2bTycLyyXd3E0uniaF3Hz+R0ILEqVRo2TscjpkJnob7+vBSKbXmenvne1SO2fGnwFloorKVqAX/ImrSJ5/J4PX0FO6veazAb99e+IyeHvzOTue+cTimIxD2bLbw5fYBf8lb8LWHMWYE+C276OpFwH5jzNBs+1kYlnwyiY+Kew5UzCMuGh99wPLS6ZmLGDscS5lI3dcYEceEexK2BHHy5Wzzj4icAVwBvMYYMyQiZ4nI2tn0sTBEHqC/H7+3Vx8pi631REKtEXDFix2Omdi+Hb+zUw0mdKYu1tPjDKQaQ0ReDTwGXAt8yB7ehCaELJuF4a4JKCXgySR0dZHv61P/vMPhKAs/8t4DZ80DmDrw4zO3WxhsB95sjPmOiBy1x/4NePlsOlk4lvx0BBXqEwn1zzuLxOFQSn0XUila02k2AauAJiBX5AJ11AQbjDHfse+DEMqTzNI4rw2RD9i+HT+RIOZ8846lTiZDLJUink5Dd3fhcCyV4mWNsH4HNN+gx/a7gIVa5ScickXRsRQwMJtOFpa7phy2byefyTjfvGNpUfw3n8ngo1/gWDZLvrsbslma7Mcnt+nSyJyLqpmIWVZL7pr3At8UkX8GGkVkB3AlmsGybGrLkg9wAu9YSmQy0NMzwWKH0OceCH0cjQk5OWoFvrPz9I5ziSEiy0XkdhH5uYgcF5Efi8jrp2j7hUhBpZyInBCR49P1b4x5APhl4BG09N9TwMuNMT+azThrz5J3OJYafX14gBdY7Mkk2EWDAZ7dYkBDI1rCwjGZylryHrAfTTe8D3gD8FUR2WyM2Tvhssa8C3hXsC8ifcDzU3UsInVoLdgrjDF/NZdB1qYl73AsJaKx79ksXjpNHGgF1lDCUutw1tvpwBjzrDHmRmPMXmPM88aYb6LW9sumO09EVgBvAr48Td/jwEYqoNEVEXkRSYvIQREZEZHHReQdlejX4XAAXV34nZ3kEwnyiQR+IkEeCJ711wGNaBRN82agA+rna6yLi9Ui8mBku266xiJyJnAO6l6ZjjcBh4Hvz9DuJuDzIvIiEakTkWXBVvZPQOVu+J8A3m6MOSEi5wH3isiPjTEPVah/h2NpUxQd4/f1MZxO46PW/PpG4HogCdxd4vwgGm3JR9nMKk7+iDFmSzkNRaQeuBP4sjHmpzM0fxvw98aYmQp732Zf3xK9FBpOWVfOuKBCIm+Mid65jN3OBpzIOxxVIvrlPTkKDYPAIJzcZRflR5KUkc26BGVVwlrWd6Ax7NfP0HYd6sN/Zxldb5z76CrouhORz6FJ7huBH6NpMh0ORxVptK95gF3h+xjQks2S6+kB0JQhLipNzc+xyk1F2vS/twNnAm8wxozNcMpbgR8YY342TZ/txpghY8zPKzHGiv20xpg/RN2Cr0KL1Z6Yqq2IXBf4uY4OD1dqCA7H0qGrCz+RYBQ4aLen7BbsB/me/P5+J/DV4/PA+cCVxphyYpreCvTN0Obx6I6IzKn494yWvIjcyxQVyYE9xpjLgh07I3y/iHQC7wY+W+okY8xOtG4hF5x77kx+KYfDUYrt28nNtPJ7yfvgq4eIvAjYhhq0Q2rUgz12H/AT4AJjzD7b/pXAWuAfZ+q6aP/yuYxzRpE3xpzKBTzUJ+9wOKqJE/HZ8TzWtzV3rDulWJCjTJjhNcb8EFhRTtdzGVcxc/bJ24T2rwW+iS7BSAG/B/yPufbtcDhK0NdXOqOkS0C2WPBE5DWEN5DifYwx3y27swoMyKCumS+gPv6fA93GmHsq0LfD4YhiayBHv7jBatfhVMrVcJ2JClryVeQQmsYg4JmifQO8uNzO5izyxpjDTO2zdzgWLrWW6C6TgYjA5xOJiZ87S35RYIzZUMn+3Opnx9Kkr49YOk2+ltLwJpNaJS2bDWsgOxwz4ETesTTp6tKU1bUi8AHbt+P39dXeuBcKhlpw11QUl6DMsXQp1xLOZCal+T0t9PWVLo7jBN4xC5wl73CUw+nw3UcjZvr6iGWzYQF7J+yVYZwws9sSwYm8wzETyWT1RT6VIsbkL6Rfqq3DMQucu8bhmE8yGbxUilY0ZfBGuzWy5FzHjirhLHmHo5IELpdiyz+V0tfisEdbtq8FaG4EOmBkQFcV+p2dkEzi9fTgp9MuBr4SjAEH5nsQpxcn8g5HpQhqsQJEQjO9VIo1qGU+av3sAR6a1S8G0BEe92HCjcID/O5uFzbpmDVO5B2OciiVSiCbnbAbs1sTcDydxrcLl84OCnrYfO+HBia6YlqAhqsoiHzzIMRGIR+JrPFrKZ5/IXMSZ8k7HI4iurvxstmSqQSiZfYKLpfroW3QHuxAqzXFga16qG0Q6IYRm5i2YTNwdaSjrdC6C/JBdI0T+AWLiFyP1tHYDHzFGNM1RTsBPgr8PvrX8GPgj4oKLlUFJ/IOx0zYBUgFN0vEoveyWVahAl9wuQwSinY83E6sAj8G/mZYmYTmu237DhhvhbpRIKfnNg9C64BG++VsmT8n9AuSp4GPAVcQ1nApxe8AfwBchub3+hhaTeqiag/QibzDUQ5TCKzf18fxdLrgqiGw4HOouLfDeKMVd7sNN4J/Dng32D7s40DsOHh5WB4HPgZtfdC2Gw6NwtF0mlwmU9onH5T4SybdjWAmKuyuMcZ8HUBEtqC54qdiI3B/UBFKRNLAn1RuJFPjRN7hmAtRgQ/YCrQzpcAPxSDnwaO2+flA3Id2T18BlkPBR59H7xlTTroG4l5LydaWHncBbxaRc9ACXm8Ddp+OCzuRdzhOhUwGr6en4KoBaLD++PG3hKIOkdd6FfgvefqNBzg2BivrIeHBNXG42IfzxmD5UWAQ9o3CYZg5fNIJfHnMLoRytYg8GNnfaavanQoH0WpRj6HrbvejdTiqjhN5h+NUSCbxEwnGohE2W4GrYXjd5OY5LxT4HccJw2vycAzYE4M9LXBpPexogpX249jkrhynjyPGmC0V6uvDwMXomrchoBP4roi8xBjzXIWuURK34tXhOFW2b2c4kWAYK8ZXq3sm54XbUAwG47q9NyrweWC4aMtDFj3nxCpgKyVTHThqkguB/2WMOWCM8Y0xfcAq4IJqX9j9/Tgcc2QMGwYZD10zOS98Ddwzx45TEPPCFmVYrXqa7P6gNnH5ayrJ89gZjoogIkE0bR1QJyIxwDfGFP+3/Qj4HRG5C/XAXYtG4A5SZZzIOxyzIYhkscSyWdXkQQraEQh8MImaKJRyKuorZo/FJm5x3/rkb11yCRNrkT9HXTEBncBNIvJF4CfABcaYfcCngDYggxbzHgTeZIwZrvYAKy7yIrIJGADuNsZ0Vrp/h2Ne6evDi/jhfeAokB+FlmuheTO85GPw7EvVqo/Xw8UeXOPBjhbUko8Sm/h+ZT10DANDcHLUWvHF+W4cc2CcSlryxpgbgRun+DgeaZcH/shup5VqWPJ/iz6aOByLj6AyU4QckMtkOJzN4g1A7I1w7lUwfhPkWzQ08vdjQD3c1WrdNpGJV0AFvgm+hsbLV1CHHEucioq8iFyD2io/YEK6JYdjETHNgiMf1ecnUynOHoQVt+kCp3grvCcGiRjc1QTZJg2fDNw1K+tV4JPDsOIgcLeGYKSFBsEAABACSURBVORnuJ7DMRMVE3kRaQY+ArwOeHul+nU4ao7ublrRlMHNd8Pyy1ToYy1w5Sq4OAY/8iBbr1sCXfOeHIaW/UAGRnaVGR/vmCWVnXitBSppyX8UuN0Ys19z8UyNiFwHXAfQ3tZWwSE4HPNMKkULkTnWmzUPTd3VsKIdvHXQ0gLtjfCayARt+0FY/ijqi9+mSyKdwDsqQVkiLyL3Aq+e4uM9aCLVFPDScvqzq8Z2Alxw7rmmnHMcjpqgt5dcT0/BVvSAl+xGF0rlYPl+a9XbFbGxYai7A0Zuhv9GwzGHEwmXN75qOEu+JMaYy6f7XES6gQ3APmvFx9GY0QuMMVXPsuZwLBiSSfyIBe5nMjzZ08PZtwLvA3JQl9Og6uXAyBvVaved1e6oEpVy1+wkTMcB0IOK/rsr1L/DUZskkwz39/NIKkXrtbZASKOGRw6j4ZcebsGTo3pUJK2BMeY5Y8xQsKHPQ3ljzOFK9O9wTKKvD7q7F15fU5Dv72d/ZyePAo+M6kKS/b295Hp71X/f3T258pSj4ng8Tzsny9oWC1VZ8WoXCDgc1aWo/N4pYas+AfipVHUnO7u68JNJ/ExmYlhkf3/VbzKOpYtLa+CoTbq65h4/blev+p12YXY6rWJrc7P3f//7/MfDD/P4k0/yxM9+xrPPPcfrX/c6Pvr+95/6NZPJ0mmB3UTraWE5sKFM59hQdYdy2nAi71iaWAveh1B0Mxk91tMDvb188c47efzJJ3lBYyNtra08u2/ffI7Y4TglnMg7FheZTGlL2bpDvGx2Uo72fE8PPhoS1giMArmeHv50wwbaNm1iXUMDD73qVbzrC1+o7hgdjirgRN6xeOjrU5dLNM7cZo2MWXFvRaNaRiOnxdGcr0Ex7mH0i3HZ3r1ho0ceqcwYu7t1LqG31wn9PNCAKdtd80CVx3K6cCLvWBwE4plIqLWeSuGjf+CNqHi3NQLboRngVjg5YEv2QZhpqUPzwbbthidtFsg8wLveBZWw5Ldvd5b8IkJEXgjcDvw6cAR4vzHmH0q0awE+A7zeHvrc6QpQcSLvqG2C/O4R69i3gr8JW8wj4HogqdWb6pLQEAT7gmb5ZmLbs4HHbgY/kYCOCubbcwI/byyfhSVfJn8LnATOBJLAP4vIw8aY4ke/vwFegK4fagO+IyI/N8Z8qZKDKYUTeUdtk0wWomGix/LZLMPot6lgpbdrWb1cq90/B7wxTS3gbYa6w6jox2G8Vfc33qwx7Q5HMSKyAngTkDDG5ID7ReQbwFvQ9c1RrgReb+u57hWR24E/AJzIOxwzUmwZJ5P46TSHgfwAtAxoMY+AaGm+XByttAnEN0F7pHpTsDr1lOnuDm9C0WPZrEs+VhusFpEHI/s7bd6tgHOAcWPM45FjDzN1ni8pen9aqsE4kXcsevJoJkiGwNuoWR+HYro9ihbPvgvAg2timva3IwdnHIaR0Wk6nolkEi+dDhc/9fSEkT2pFPnOztKuG+fOqRp1GFYyXm7zI8aYLdN8HseW5Y1wjLBKb5TdwPtE5G2oa+cPUPdN1XEi71jUjKGTriOjNuVvh+Z1j3sq9ud7KvJRk6o9r6l/g0Lapyy6XV06+ZtOQ08PHhSE3evpIZ5OazQQE3PX5IHhr32Ne/fs4f5/+zcGn3qKw0eO4HkeHRs3cuXWrfzmFVewbFlFspI4Tp0cdh4/QjOlS/P+MXAL8ATwDPAV4PeqOjqLE3nH4iOZhN7eQvx7HvuHbnO7r+iCFXFY26rl+bbEYLhR3TdDMVh7XFMC060JxOaKh5p2R4OxJZP4aNRPO5Prew8Du970Jj4OrD7jDLZceCHtbW08c/Qo37v/fj726U/zg3//dz71F3/BTLUbHBMxGPzKTbw+DngisskY84Q9diEwKd7WGPML4NpgX0T+Evj3Sg1kOpzIOxYnyST09+NnMvqVzmTYn07TukvDI+lQq37FViAOK9vhxDpY2wIrnwJ2w/9r7+5jpCqvOI5/f+7grmF4VQFfQUEQBd0qSqtiTLoN1IRoo0mx2BijlYg2IS1JTWqjhTa+2yblTQI41rESrGytYuNL1QRNasUIRQoiUFQQoxBQFndYgdM/njvssM7uzC6ze+8u55NMyMw+c/fssnv2uc899zyfNxbpDrl7d/ESyLq6I36ZUoQziD6E0s2vGsP0rvB4+d3/ihkKPDp7NleMH3/EjP2OW27hpjvu4LWVK3lt5Uq+f+WV7fzGuEoxs32SlgOzJN1KqK65Bris5VhJwwl/v/cQyi1vo/W1+4ryJO96tnwyrq0lV1vLjpkz2dsIrIVea6GmPiTjGqB6LFSPCFvv5YDlwIuAbdjArg0bAPjP2rXcO28ejBhB/379mDF+PKmZMxkQHSNv0AmEks0RwCboOwdSjZRVI78buKiVm6VOGjiQ6yZPZt6SJby7Zo0n+fhNB5YAnxOWYW43s3WSJgD/MLN0NO5i4I+E6/kbgalFyiw7hSd5d+yINvTY07LjY76b5VpIrW2ehb8PPA+wqrnAYvs337B9yxbYsoVTBg9mRnU1NYRll+PHEpL6pPDvwahUs6o2vDZqEzRNy5LLZkO1z6SCGOaE2f4nlN5AJFVVFY4b/evKZ1DJ5Zr8Msy1RV5fSbgwm3++DFhWsU/cDp7k3bGnjY6PB6JHLpPh5myWm2+8se1ul5kMEJVa3kWoxT8j1OLnSzXTB0I9fuoc4GOozsG+aNpfsweqGgkn+lMhN6btqroDBw+y4pVXALjskktKfqnOeZJ3rpj8DValKmtqa8lls2xuhOF/Be4quNmK5ou56QNAn6g2P6rsSR+AIX2gZi/0Bvr+CNL179PQxpLOnEWL2Lx1K5dfeinf8yTfbhW+8NoteA2Wc60ps3QyX8HTVA9sCkk7Lx3lk4YUvF4Dj6fgHuCdVHOtfq5PuBOX62HUWEjPnHn4DKHQ0vp6ss88w7Azz2TWXS1vqHSuOE/yzlXA4VPi1dB7R/Pr+Zl7QwpGE+rx8wsy6ws+fiC/sD8JTgFqstkjtgNc9txzPDx3LmcPHcqChx+mX9+W5dnOFefLNc4dpXynSwA2Aauh/wnQcFaYqUOY0ecT/egW729IQf8awmW6EQVVOtGZxF+efZZH589n+LBhzH/oIQYOGNCpX0/Pduwt11QsyUt6A/guzaXA281sVKWO71wiRRU7X9TV0QgMqIf+9XD8Y3A6kD6jRa+cgt+4Ibnmi7Lpz4BN8NW0cEtkvrdNZulS5ixaxMjhw5n34IP079eva78+1+1VeiZ/p5ktqvAxnUu+V1+lIZMhl82yGzhrWkj0JzZCekC4szbdqznRD8mFtftUDqp3ExL8VPiwYMOTRdksCzIZRo8cyZz77/clmgpooolP+STuMLqUL9c4VylRr5qGbJb1QHoanEFoN9gvqqE/MbrDltWEllWboKkxbBr9RUG55gsvv8yCTIaq446jdswYltbXf+vTnTpkCJMnTuySL811X5VO8vdJuh/4APi1mb1RbJCk2wi39TJk0KAKh+BcjKLSywPAntWr2QPhAqoB9e+Trg+/dA1Em5EM59vtiIHtO8LV24OHDvH08uVFP9VFF1zgSd6VJDOrzIGk8cB/CbukTAHmALVmtrmt9503apQ9OW9eRWJwLvEymZD027ghy7VuXF3duyXa/7apr/rbOK4oa+zrrDiqz5UUZc3ko4uqrTXTecvMrjCztwtee0LSDcDVhPaazjlo++5Z5zpBWUnezK7qwLGNI3dCcc65WDWxn21sjTuMLlWRm6Ek9Zc0UVKNpJSkqcCVwEuVOL5zziWRpIGS6iXtk/SRpJ+0Mk6SHpC0K3o8qC7aDKBSF157Ab8DzgUOAhuAa83sgwod3znnkmgu4TrkYEKbuRWS1hRpI3wboVvlhYRVjleALcCCzg6wIknezL4AvFuScy7Rmmiq2HKNpN7AdcAYM2sA3pT0d+CnhJ6khW4CHjGzbdF7HwF+Rhckee9d45xzHTMSOGhmGwteWwOcX2Ts+dHHSo2ruNhvhlq/cePOcXV1H5UYdhKwsyvi6QCPrWM8to451mMbejRvNg691Mi+k8ocXiNpVcHzhWa2sOB5GviyxXu+JOz62FLLsV8CaUmyStWxtyL2JG9mJ5caI2lVUutVPbaO8dg6xmM7OmY2qfSosjUALXtN9CVs51tqbF+gobMTPPhyjXPOddRGICXpnILXLgSK7d26LvpYqXEV50neOec6wMz2EfZ7nyWpt6TLgWuAJ4sM/zPwC0mnSToV+CWQ6Yo4u0uSX1h6SGw8to7x2DrGY0uW6YTtBD4HngZuN7N1kiZIaigY9xhhX/i1hD3iV0SvdbqK9a5xzjmXPN1lJu+cc64DPMk751wP1q2SvKQpktZHfSI2S5oQd0wQunRKyklqiB6Ja+cg6ZwoxmzcseRJykraIekrSRsl3Rp3THmSqiUtjvqR7JX0nqQfxh1XnqQ7Ja2StF9SJuZYyurf4uIRe518uST9AHgA+DHwb8Km9kmS9K0P5wLvxB1EC/cBt5jZfknnAm9Ies/M3o07MMLvxieEFtsfE9pmL5M01sy2xhlY5FNCv6iJFOwjHpNy+7e4GHSnmfxvgVlm9i8zO2Rm281se9xBdQeSpgB7gH/GHUshM1tnZvvzT6PH8BhDOszM9pnZvWa2Nfp5ewH4H3Bx3LEBmNlyM/sbsCvOOAr6t/zGzBrM7E0g37/FJUC3SPKSqoBxwMmSNknaJmmOpLhnMIXuk7RT0luSroo7mDxJfYFZhLrcxJE0T9LXhM6lO4AXYw6pKEmDCb1KfHZ6pPb0b3Ex6BZJnnAa2Au4HphAOCX8DnB3nEEV+BVwNnAaoVb4eUmJmJECs4HFZpbILerNbDqh18cEwo0l+9t+R9eT1At4CnjCzDbEHU/CtKd/i4tBIpJ8dOHSWnm8CTRGQ/9kZjvMbCfwKGGdNO7YMLO3zWyvme03syeAt5IQm6RaoA74Q2fH0t7YCsea2cHoNP904PYkxSfpOMIdjE3AnUmKLSHa07/FxSARF17L2V5Q0jbCmm2XSvLWh6VikzQDGAZ8rLAJTRqoknSemV0UZ2ytSNFFa/Jl/swJWEw4k7zazL7p7Ligw9+7uBzu32JmH0avdVlfFldaImbyZXoc+LmkQZIGADOAF2KOKelbHy4kJM3a6LGAcDv1xDiDAoj+H6dISkuqkjQRuAF4Le7YCswHRgOTzayx1OCuFP2s1QBVhD/cNZK6fNLWzv4tLgaJmMmXaTahX/VGIAcsA34fa0RBYrc+NLOvga/zzxV6aeSinbziZoSlmQWEycZHwAwzey7WqCKShgLTCNcIPlPzdpzTzOyp2AJrdjdwT8HzGwkVaPfGEMt0YAmhf8suov4tMcThivDeNc4514N1p+Ua55xz7eRJ3jnnejBP8s4514N5knfOuR7Mk7xzzvVgnuSdc64H8yTvnHM9mCd555zrwTzJO+dcD/Z/5UpOGDtNUnsAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# TODO: make this an MSM-weighted free energy plot\n", "matplotlib.rcParams.update({'font.size': 12})\n", "mplt.plot_free_energy(xall, yall)\n", "plot_labels()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we analyze the slowest processes by looking at the distribution of states along the first 3 eigenvectors." ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [], "source": [ "# project eigenvectors\n", "proj_ev_all = [np.hstack([M.eigenvectors_right()[:,i][dtraj] for dtraj in M.discrete_trajectories_full]) \n", " for i in range(1, 10)]" ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 3, figsize=(16,4))\n", "for i, ax in enumerate(axes):\n", " plot_sampled_function(xall, yall, proj_ev_all[i], ax=ax, cbar=False, cmap=plt.cm.Blues)\n", " plot_labels(ax)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "PCCA\n", "---\n", "\n", "Next the MSM is coarse grained into a user-defined number of macrostates (*n_sets*)." ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [], "source": [ "n_sets = 4\n", "M.pcca(n_sets)\n", "pcca_dist = M.metastable_distributions\n", "membership = M.metastable_memberships # get PCCA memberships\n", "# memberships over trajectory\n", "dist_all = [np.hstack([pcca_dist[i,:][dtraj] for dtraj in M.discrete_trajectories_full]) for i in range(n_sets)]\n", "mem_all = [np.hstack([membership[:,i][dtraj] for dtraj in M.discrete_trajectories_full]) for i in range(n_sets)]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have now determined the probability for each microstate to belong to a given macrostate. These probabilities are called *memberships* to a given macrostate." ] }, { "cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 4, figsize=(16, 3))\n", "matplotlib.rcParams.update({'font.size': 12})\n", "axes = axes.flatten()\n", "\n", "np.seterr(invalid='warn') \n", "for k in range(n_sets):\n", " plot_sampled_density(xall, yall, dist_all[k], ax=axes[k], cmap=plt.cm.Blues, cbar=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For each macrostate we can generate a number of representative sample structures and store them into a trajectory file." ] }, { "cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [], "source": [ "pcca_samples = M.sample_by_distributions(pcca_dist, 10)" ] }, { "cell_type": "code", "execution_count": 73, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['./data/pcca1_10samples.xtc',\n", " './data/pcca2_10samples.xtc',\n", " './data/pcca3_10samples.xtc',\n", " './data/pcca4_10samples.xtc']" ] }, "execution_count": 73, "metadata": {}, "output_type": "execute_result" } ], "source": [ "coor.save_trajs(inp, pcca_samples, outfiles=['./data/pcca1_10samples.xtc','./data/pcca2_10samples.xtc',\n", " './data/pcca3_10samples.xtc','./data/pcca4_10samples.xtc'])" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "Structure figures are generated with VMD, pyMol or another visualization program of your choice. Here we used VMD to generate the following structures, corresponding to the four metastable states shown at the end of the notebook" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "Coarse-grained kinetic Model using a Hidden Markov Model\n", "------\n", "Now we want a coarse-grained kinetic model between these four metastable states. Coarse-graining of Markov models has been investigated by a number of researchers, so different approaches exist. It is certainly a bad a idea to just bin the clusters into four groups, e.g. using the PCCA memberships, and then re-estimate an MSM on these four states. This is going to be a very poor MSM, most likely it will not get timescales anywhere near those seen above and fail the CK-Test.\n", "\n", "We recomment the following approach: Use the MSM and the metastable states computed by PCCA in order to estimate a four-state HMM. This can be simply achieved by calling coarse-grain on the MSM:" ] }, { "cell_type": "code", "execution_count": 74, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "15-02-18 15:34:19 pyemma.msm.estimators.bayesian_msm.BayesianMSM[8] WARNING Requested coarse-grained model with 4 metastable states at lag=12. The ratio of relaxation timescales between 4 and 5 states is only 1.2981646871241692 while we recommend at least 1.5. It is possible that the resulting HMM is inaccurate. Handle with caution.\n" ] } ], "source": [ "hmm = M.coarse_grain(4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A HMM is also an MSM, just that it has a small (four-state) transition matrix, and equilibrium probabilities on four states:" ] }, { "cell_type": "code", "execution_count": 75, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 0.0575265 , 0.12146086, 0.02030485, 0.80070779])" ] }, "execution_count": 75, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hmm.stationary_distribution" ] }, { "cell_type": "code", "execution_count": 76, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 0.80855296, 0.01797623, 0.00548975, 0.16798106],\n", " [ 0.00851393, 0.70638098, 0.00192846, 0.28317663],\n", " [ 0.01555324, 0.01153579, 0.83087514, 0.14203583],\n", " [ 0.01206853, 0.04295559, 0.00360183, 0.94137405]])" ] }, "execution_count": 76, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hmm.transition_matrix" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So let's visualize the HMM in a network plot. The numbers shown are transition probabilities given the model lag time (1.2 ns), which roughly correspond to rates per ns. It is seen that we have a star structure with one highly probably state as a hub, and a three less probable states that connect to it." ] }, { "cell_type": "code", "execution_count": 78, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pos=np.array([[-3, -4], [0, -5], [-4.2, 0.5], [0, 0]]) \n", "mplt.plot_markov_model(hmm, pos=pos, minflux=4e-4, arrow_label_format='%.3f')\n", "plt.gca().set_frame_on(False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we show the four metastable structures generated above:" ] }, { "cell_type": "code", "execution_count": 79, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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D/tISbkHAI4mkh4bxejyMOCO8X2mhUIiF0H4b6bQH/PVfr2CYAkrAxD/TxNK8tDs2f7OTgf/6M/74d3/7IIje3W2gyKNomvbcH86LS0tEJicROp0nbnf48GG2t9ew7e6LvmQOx2cqVyrc2NxEsCzeWFh4rhKKtqZjdLufq3456PHgHxmlWqs5WeiviMVaDa9l8XsnT5L4Ddck7+7u0g+HOO1yv+iX/VJzAuhXwPbODuGxKSZj6kPd6aIoMjk5yeTkJJqmsbW9w17dpi4I1DMZhG6X4/Pz+P1+RFHEtm32CgVWt7fxjYzgCoXol0qILhe+VJpevYav0+F3jh+n2+2ysb2N7fEQmZlBFkX6pkmt1eLWpUt4ZBlRU/G5PXhcroNSgU+e25OWoHX85txZXCQ2nIJOm2w2y9jY2CO3C4VC/MmfvIcp6Pz02iJKxI3kkzHaBoIokNO8/OWeisf1C373vd9CEAQaDRtB2MbtfuOBY2maxt///Q0EIYLLVefo0RHGHzMTgKrr0O/jdn/2DdrlqmMY+w+CjUaDKysr6MBkJMLCkSMv+lI7HMB+8Hwnm0U3TCRF5mYuh29jg3Nnzjz1Mbq9HqosERCUz1U6tTA/z7W9PSq9nhNAfwVkczlqPh9vyvJvPHgGaHQ6SK02M2cPveiX/lJzAuiXnGmaZGo1sKoMH33jidu6XC6OHD7EEaBarbK0toYrFuNWPs+gViPoctHVNAKpFIFUCkFV8fh8iMEg9WyWiViMsVOnDrrl3W43sVgMXddZXl2loeukZ2dptVuERRFVHaCJEpYoQjTKP2xtoZsmIVnGJYroqorabCIgIAogiwICArFwmGQ8fnDeXq/XGezyBVM1jaDbRXm7QbUi0++rHDo0+8htL1y4QCgUwnIZfHBnEUw/tiBgtDrYRouS2OK/Ftv0fvYzvnbyJIYOkejDtfKNRhOBCcLhPI16gKUlmTt3VnC7G8zNjTAx8Y/BtGHbNLNZzr311me+llDIS63m5tcXL9Lx+7EA0bIoKgq5y5cYC4U56gTSjheoXKlwO5NBHQz4xqmT6JrG7ZUV+kND/PLyZU4dPnxQPvUkxWIRXyjE3Oe8H3o8HnrFIqpTeveVsFMoIFgWZ44f/43/Ltu2Wa7XScJvfCamV50TQL/krt24QXhslJiqPVOXXjwe5914nFarxdLKCsHRUTS/D78kI3U7mJZFp1bDZZrMTE5y/Pz5x2aLFUXhxLFjqKrK6vo6lmEih8NQq5EOhSjV6wxCIZRuF8UwkIeSGMUSgiDglmUMy8IVDGLfu5lnBgN2d3fxBQKEw2HqOztEbJuzJ0++6Mv9lWED3XaL8bEUmlrgzqKftexFvnHh2CNvikeOHOFPv/W7dDpdbu5mEH0CtiBgqXXciRwlaYIrExOs3LxJXIsz5LIeOka1WkcUg5w4MYPf72d1dZ1ORyeb9XP9usS1a0ukUiqpVBTNsnA/Zf20JNn4UiNoQQXvXo5TR48SDodZ39hg27SouN383cWLTEUizB8+7MxZ6vhSlctllnI59MGAd0+e3K8Z9fv5xltvcenqFeTxca6trXH20KEnBtHdbpftUhExHCEWi32ucxJFEZ8o0pJlpw76K2Cz3WZGFL+UaQmX7t5FTSY5Zlmf/2BfcU4A/RLTNI2BoqBlsrzxzrMtsWxZ1n6pxs42nlSaXq1GoFploOtIExPYhRxfO3nymd6QbrebE8eOYVkWmUyG+tAQnWgU30gac2OT01NT9AcDyqJAMJnk0Nzcwb6maT50vL1CgWajgd5q0XCCni9cOZfnwttvMzo6yt27q6y3RX526xYToRCSIODzeJj9RNnN8WPHOLO9zVI2i6mqSIKIrfcQjCaeZJKeaaJPz7JRkeh2NwnfucPJhYWDTHQ220CWFWQ5iKIoHDu2vwTxuXMGd++uks+3qVajdH02yuwsZjb7mR/uq2tr7Kkqst9A2s7xjd/6x4z13Owsc7OzrK+vs23blFwudm/ewj/oMz8396V0dTpeb6VymZuZDKaq8vX7wfMnvHHuPKurqzQEuJbNEtzY4PzZswB0Oh02t7dp93v0JBnDtvGn0kia/oWc2+TYGJu6ztrGBie/hMyl4zcjm8vR9vtZUD5fWc9T/75aDVUSmTx+4kW/9JeeE0C/QN1uF13XiUQij/x5sVTC9vkI6fozvXFy+Twr29sE0mlMQcTdbHL6yBG8Xi+qqvLx0hK2qj7302y5XGYtmyUwPk5veRkJCI2MsFIo4FJV2pJEdzB4IIB+1GwNY6OjpIaHqd5dwmp3nuEMHJ/F7XIRika5s7jI8WPHWFg4Qv/aNYy5GSrlMi5ZxgiH+cnt2wiWhSIIlKpVfp7P45mYoLuzg6UNkJUArmAQs9WiC4jeIKowTHZ2gv9z0Ob2z3/ON48cYSiZpNeT8flKBALTD5yLLMucOLHAiRP7D1K3Fhcp9mw8kQgfrK4gWzZB22Zhfh6fz3ew30dXrmDHYrhtC7NwB1GKAHD16k1yOYV0esCFC2eZm5tjbm6O9fV1dgYDxPFxbubzJItFRlLDJOJOIO344pXKZa5ndrFUlXdPnnrsbAWHDx9mqNHgzuYmRjLNf/nph0h2GDFmIXpl3B4vSqfNSCRKv1Zj8JTd5rqus7a2QSQSZmTk4UHdiXicfLFIo9d70ZfK8TnsFAoEVZVTz1BL/7wsy2LPpTBjWU+cgMCxz1lI5QW6eXORrc0+qbT/kcGs1+Nhe20NIxSisLNDPBr9zKD31xcv0vH5sEwTn6bx1pkzjI6MHOwnyzK1YhHN5cLDs9U4qarK9du32TNN9MGAsGly4dQppicmEFSVcqmEFQgSnxinVKsRFMXPfBOapslKocB4OEIiEX/KM3F8lqFkkkw2gxiNUstmSSaT3NzdxWg0uDA1xZDXSzObxWPb2JrG1WyWn+3sQChMIJ3Gl0ohKi6QRGxBxOj3sQ0DwRLQVAEppEEoSCEQYC2TobebwdCCRCImE+OPH7QkiiKRUIhyq02038dtWfRNEysYZKNQYGdzk26rxdX1dQy3m0C/z9cuXKDRqNNoeKnXN6mU07hcIr2ej0Riv94TIBaLMTM2hlou02w2sYeG2Gs2yW1sMDYy4pR2OL4wpVKJ27kcsq7z9omTjw2eW60WV67cJpfrM+gEMNoRegE/gaALv97k2PgY81NTTI2PM5RMYpkWDcukkcuRTqUeecxcLs+VK0ssLvaoVqPU6z0SCfHgfXCfJEksLi1hArPOst6vrL9fXmbC5WLuORbVeVa3lpbIAmcSiedezfA14qxE+CJ5PC7uLrUpFjPMzo4+9AEvSRLT4+P7WYlggJWNTURdJ/qEhr2xu4uq67w1P8/42Ngj52+ORaNkikXK5TLTT3FjtSyL6zdvslouI4ZCuFst3jhxgvGxMSRJQhAEAoEAU2NjDIdCbC8u4Zudpdlus722htftxv+YD5hisUhD05geSj6QfXR8PqIo4hFEstUqA9Mks7NDRxT5+vw84XAYr9dLKpWi1+3ynz/4FZc2t+h1u2i9HmqrhT4YYBsGerWK0O+jaxrGYIChDfBELWxdQ9N1BJcLPR4n7/HSMrvMBWRkUXzig9ntO3dwJ5PEJImjR44wMzKC1zTRWi06QDseRzFN3pyZYXpqCoBms4GgpDGNCQaDdd56K8X2dolqtcj09IMB+ycD6VqlgjuVYnl7m/zODj6PB7/Tzl5rmUyObHaParUK2I+9Nz1OsVhkMZ/HVlXeOnHiifPk3rmzQrV6CEmqEInoxCN9hrwatX4VzeuhX60x+onscSgUYmVtDds0mfjE7BmapnHr1hJXLhfZ2jIwTRexWJ/JSZteT6JQ2GVq6sH3ga7rbFYqeEzzgdU+Ha+ObC7HYqvFN2ZmvpSM8KXlZTBNvuGMR3oazkqEL1I8HmfuUJ611WFWVzeYnp6gWq2S/tQcy0ePHGF1dZWuKJIzTQoXL/LGuXOPXCxlOBqlFwjQbLUeW1vqdrsJiiJGKkV+b++JczrX6nWuLi2hJBLYlQpTw8OkZ2Yem81zu92cOXGCj1dXkU0TKRjk9vo6vxWLPbKMo1ipEAj4n3rhl9eNrutsrq5SWV5GUGSSh48wNTv7VOU3w8PD2LbNYrGENTlJMpN5YLaTK9eu8fO7d7lUKIIsI8oyNmCpKkavh16rMRMM8o3z51nMZrmRz+0H0b0eLr8f/9Aw1mCA6vfjjURQR6P8zWBAdG2V0PIyQVnGI8nIosD9xzgLkP0+7EKBqU9MrTc0NMTQ0BC2bfPrS5cwYzG2d3Y4eWK/Dm90dIRrv9jDY6m89/VJVFXl8GE/mxtDLC0ts7Dw8KITBzXSGxtomrY/mCufJ10skh4aIplMvug/r+MF+PijPB7vOB6Pi53tDqZ1B7ery9h4nGg0SDwef+z9qFAsciuXR9I13jpx4jODb1EQ0LQM3/72qQfumalGg5vLy7QTCT64dInjhw8flPK5bAtNcWMYBsVikdWdHbqDAGo9iSju8sabUSYmxg6OV6lcolxOsrm5zczM1MHvqFSruMMhZrzOA+Or6vrGOmFJZuhLuFfV63XKPh9zjxiv5Hg0JwP9gqVSQ5RK6+zsSpQGObouBaHXe2hat3g8znAkQnFnB9XvJ5fL4RKEh55KFUVht1qlUy4/cf7PaDjMeiZDvVJlcmzsoYC41+tx5cZ1cgMVl8fDdCDA6WPHCIVCn9kVrigKO1tboChMxWL0FIXS7i6jIyMPbbu+tUWr1ebYoUNOF/un6LrOL/7mb/D/f/4tkx/8hMT163i2t1nd2mK7VEIJBgl8RlZCNwy2S0UMQYBOl5l7maiPLl3i727c4NLu7r3geT8gtzQVo9PFbrU4Hovx//if/ifeefttxuJx5F6Paq1Os17D1HW0Xg9b0xAsG8PQMbHBH6DtD1AXRZLJJKPpFLGhIdRuF6nfxwv4LJuBKFLdyz+UGRMEgbGREbZ3dugAw8Hgft3+pXVsJUE81eWDxdt83KizVasSDUap5jqkUt6HurDvi8ViTI6OopZKqO02dUVhr9NBq9eJRaPOKpuvkXq9QaEI0UiB0TEB224gijqqFqVQsMlm+9y5UyJbypPb22TQ72PoOoFAgGKxyI1sFvle8Pw0K7QViiVaDYH5o0MPfN/j8TA1NkZ5awstGKRQLBL2evF6vTTrDYThYVZWV9nr9tAlkahicuyonzfeOEokEn4wGE8l2dnZptP2EY2C17v/Prh8+zYDTefo5KQzH/8rqN/v85PdXSYVhcNfQvnGzcVFWv4Ax8PhJ/ZyOw44JRwv0mAwYPHuXXSPRN87QjAsoXab9BoNxh8R/LpcLibGxgiKIsV2m4qq0ioWSQ0PH2zjdrvZWF/HsKwnlmcoikKzXEaIRfGY5kEmxTAMVtfWWMpkEGIxhHqd41NTpFKpZwpwm40GXVliZmiI/M4OQjiMpGkPBfxbhQJYJrMTEy/6z/HS2VhfZ/Pf/QXxzTXCigvBNBHKZaJrKyTu3KZ2+yab2Rx1y8ISxYeCadu2uXTjBpbHwxGvl6ptkd3aYunuXf7zzZsslcsIyr3g2bIwNQ2j08FuNnlreor/8XvfY+Re7XAikSARizF68gRauUyzXKHX66EPVIx+D3QdAQFN00CSUEJhiqqK1e9j7+0RcrmwfT5Enw+h38dn26ihEEajQTz+YO27IAj4JIlCu01xb49CschAkkh4m6xrfa7oOlY6jTIzw26vRMqeol5cfagL+9PHvB9IjwQC1Pf2KCoK5Z2dB7rKHV9t7XaLcllEkducOXOCsbE0U1MjzM5GmZ+P4XZ3EKUuuqXiSUSoGiaVwYDVzU26lk0wncbT6+FWlKfqUi/slbCsUaDwyKBkdGSEiCyzU6lQ7vfZzWTRwiGabjdWqcSJsVHOHj7MxNjoY5MX+z17XXrdGKXyGpOTo6iqyk6tiqRpzM/OfuZ5Ol4+G9vbbNo2701MEPoNl2/Yts3NjQ2MQZ93T5160S/9VeEE0C+Crutsbm1xc3MTOxJBa9RJefs0LQ23ZWK4XSR8vseu0ubz+Qi4XJT39hh4vWytrRELhej3+yiKQn5vD93l2s8aPqE0Ih6Lsby9Ta/ZxDZN9opFbq+tYUYjqK0O434fZ06deq45RF2KQhdoFotMj4/TNk1a5fJDWeiVTIbxWIykM+XYQ25dv0727/4OnwWBYATJ5dkvhbBN0Ab4q1Viy4v4L1+iubfHjUaTtqYRjUSQJInL165BegRvq8XJ48fIb23RdLv5zxcvkmm1EBQFQZKxLRNLVdHbbaRmk28cOcL/7b//Hx4qJWo0m7R9PibdbqaHhuj0+5RzOXTDQO/3sVQV0baxLQtV0xBcLhpuNznDQC0UmPZ40FotxHic2aEhMpkMbV1nLJF4qJ0GAgGahQJMTUHAz5giUKyU+VmxhDI8RDw1jKFpFHJZjG6RoDFCelh8bBb6kxRFYXx0lNzaGh23B59lOgv5vCaq1RqDQRJBKDI+8Y8PToIgIAgC0WiU8fE0M5OjjMXjjEcitItFJNum1W7TC4URFIWGqrKxvo5Xlp9Y718qlfB4xrGsPYaGhh65jcfjIeH3s1ssYkYieOt16PfxWBYnFxaeKnERCoXY2l6k202QSEC326Fk2xxOJgk7bfuV9MGdO1i2zdfm53+jvWS2bbO9s8OKaTLB/vSHjqfiBNBfJsuyyOVyXLt7F2l4mEGjzlwsxqmFBUbSaXJbmwjxOF6vj/LuLmOPKHm4z+fzMTE6SmFrCykRZye/R6nXI1Muo6sqdiBATJbxer0P3YD7/T6qprG+tUmz10OLxtAlESsYREwkIJvj3TcuPJQZfBaSJLG+sUFPVTk5P8/e9jZdSSTq/ceu9mw2i+n14r+XHXQ8qN3psHPtGkqtRktV6VoWlsuN7PYhSS5E2wLbRFAH1AIR/uHCBXY9Hm7evoXdbtP3+2mXy5w7cgRd17mxtMTfXb9OsdtFcLsRJQnbNLHUAXqrTUDX+KM33uS//bM/eyh4BsjlcnQ8XjydNmcWFhibmWFuZITi7i6NRgNDVdG6PSxtP5A2DQPDNBGCQWqRMOuDAXK3y+jYOHtbWxwaH6fr8ZBdX2fyEb0lW7u7mH4/g24Pu9nkH3Z36SRihIeH8Xq8VPN52tks5UqOoD9Fr1VmZvzpe0qGEwm2sllq9QZToyNOKcdroNlssbdnk0yaDA09/qH9fkAtyzLpVIrx0VFG4nHq9TrBTgeh18O4V0o3Pjz82ERFqVTCtocQpcpjA2jYD6LNXg/dNHnz2DGqe3t0BIGJoaFHjh35NEmSGBoKk832yGZ2aQ/q9DVtv3zjS1h8w/HFGgwG/Dqf55DL9VQD/Z9Xs9nk4s2brHg9WIJAp9FgLpX6UhZs+Qr4agfQ7Xabi9eu4ZLlFzqnoW3bZHM5ri4u0na70Lo9Rr1ejs0dIhaLHXzghwMBdkslgsND1MtlptLpJ36oC4LA+NgYAVEkVywijo/j6vexLAtpaIhap8Paygr5TBbLsLh5c5U7SxnKRpfdeg1bcWGoKv5IBD2fJ2AYVBoNzh0+/FSZvMcZDAbcWlzEk04z6HSYGR0lHouxUyxRLhQYSiRYunuXbLuNKAiMxGLOzAiPMJxKket0sLJZ7HYbWddQ1QFdXWMgCIhuL5Lbj+nx8Q+/+3tkRkfoSTKtSIS7lknZtBCaTWRV5R8uXuSnG+tUBwNElxtEEQwDa9BHb7bw9Hr803ff5fd/758w/ImSINifvnBpZYWOz0fD40bo9ViYmqKeyzF94gTHjx5F8XjYW1/fn9tcVdG7XTAMBNtG1zRsUSQ5MkbD5+fW5gaiKDLq8dAoFiEWw2OaD2Tyrt+8iRmJIBSLqIMBK/U6awj47tVUd+oNGpkMve1tzH6frtJlbG6Cbi7HyFOWGymKgtHpUJdllHuZe8dXW6PRYq8oMJKGaDTyTPsahkG53WY4FOLo/Dz0erS8Xhq5HIlY7JFBtCiKrK83CAZVhoeHnnj8Wr1BVdeZSiQwTZOBx0NAEJ56diKXy4Wul2m2xpDjIKldjszMvOhL7ngOK5ub7Ng2b4+M/EZ6x5rNJtdu3+aDUomm10uyWuN4KETBNLmxvk7K63Xmgf5sX+0A2jRNMo0mhUqZkUTiS3+qsm2bXC7HlcVF2l4PlmESMS3ePnuWWDT60A3X7XZT2NlhEIlgiCIR++mmWPJ6vQxHo5RqNTzJBJ1SFb1pMBybBnOESifJTtGFZY4TCYYwe3scnxpjNBrlyNQUu8vLCIEAWqeDFAgwlUw+VdbjUa93fX2d5XweKxBAL5U4MjFBMBhElmXqxSK+kRG2s1nkZBK9VmVmaIjUY+Y7/SpYWl4mv7f3QJ36sxg/dIjy0BCZVIqcJFNuten2e+iaij7oUff7uHPmLKvHjyNIEpZpYBoGmiCiu12U/AEuZna5vbREz7IRFQUEAdswsPp9tEaTqGnyp+9+g999//0HsmSFYpHLt2+zUakgRKMM9vZwaRrhsTFWFxeZGhkhm8/TbzRI+v2ce+MNqFTI5fNomoY+6GP0eoiWRTgcxu33UyyXyObzbLVa5Gt1ogL4IxGKuSwjQ/uZPMuy2KjV0Gs1vv7mm2yvr/OLWg2Gk8RSabBtKtkM3d0M/Z0dJJcLHVBNk9nZWTp7e089w0YymSS7sUFB10kFAo8tm3J8NbRaTepih2PTo8/8eaDrOrlWi4iiEA6FCIVC7K6tIo+O0chlSQ09/B73+/0s3tkjErWeIoCuUzcMphMJ+v0+uttNaXv7iYPBPy0SCXF35S6dSIqUPGDkK3xv/Sr71e3b+ESRC0eOfKE9Y7Zts727yz9sblCLxUm22/zOoUMcO3yYRDxOBMhpGnumSUBVn7j0vOMrHkArioLabNKxLHYyGdJfchB9+do1aoqC2+/H3+1xbmGB0Ucs6GAYBtVajY9u3oREkn4+j+nxUK3VCCnKU2UgDMOg1upitxPUGzEaRoxKx0C29hCMbcL+CsFAG7/fh2EMs7PdpFisUCxmSCZiGG43hm2j93pMjzx7d3an2+WjK1foejyorRZHUimOz88fPMV2u112czn0ZAKXoqBUq5w5cfIrP9p3Y2sLzedne2OdRDT6zKPhXS4X0zMzuP1+0r/928TPnCFjWWw0GhQNg0q7w5bXx6Yio/V6yJaNJIooAIaJaZk0CgVUw0S0rP3gWdcx+330ep20z8+fvfce/+zP/ulBBrhYLPLxrVs03B7ckTB2o8FUKMTJhQW2dnYQOh28Q0OUazUUVcWfThOTJOxIhKlAgPFIhFqlQr1Wx9C0/UV3vF5k02T77hJqvY5pGFSxWdUNXG43oeEUerHI8L2p7PZqNeJeL81Gg5+srFAOBgmPjBAKR6kV9mjncnSWV/YHVkoioijQ1TRkvx+vYTCeSj11Gx6Ox9nIZCgWi0yOjjqlHF9hjWaTNjpjkchzBdDZVovovQBaEATG0mk2FxdRfX70ZpP4I0rRNtZrRCKfHUDXPxFAh8NhlpaWwLY/sya1Xq/z8bVrLG5t7b+3hS72aASxVnHqWV9Bqqryy1yOOZfrC52/u1qr8ZNr11gVBTwDlQVZ5mvnzuH7RJlnKBQiCmyVGixd7+OVWySTzvikx/hqB9AAiUSCiNdLbTBgd3eXdDL5pcw5nN/bo2jbyI0G82NjTE9NPTKrW6vV+PjGDRpuN3qvx6jHzfmFBSrb24jTMxQKezT29h67KtV9uVyenbxMoxzAbWzijZYJTLmxqhlEycKfjCO4JTp2G9vbRwyCOz6KLicpNGwMxYsZC2FXSsxNTj51HallWVy+do3tVhNTFIgh8M65cwejhm3b5tr162TbbXRRxCiWkL1eRsLhxy5h/lUykk7jskzqhkFur4D7EVMPfhZBEBhKJqnnckjJJMGhIRbeew9jZISGolBQNUr9PoNWE3UwYNDrYTYaKLaNW5Ro72Yw7wULdr+Hee/n58bG+dM/+WMkt4vRZHK/Ld66SVUS0QURd7PBeDDIyYUFIpEIgiCwk8shmCZj4TBWJIJumJimSavZRBdFTk5Pc+LoUcI+H+MTk5TyeRrVKo16nb3NTXrZLHq9gW0Y2KaJaUO202GtWsXQdeRuF0kQqLfbdNptVnZ2uGHZuNIpYsMp1F6X6s4u3c0NtL09ZN+9m79tI0gSjV6X5NgEQqP+VHOnmqaJqqqIuk4/HEbodJxSjq+wZrNJVdMYf84AuthpE5GVg4F5oigylk6zsb6O7vUi6fpD7+/1zTKhoP1UGWjb7z/oQSkVi7QAj2U9dgaOvb09/uOHH/GBJNGemmbXBl2WkBp1RI8Xs9kkFAo9V4+i48XY2d2lKInU+wN65TLRcPhzTUPYbDa5fOsWv9zbQ7Vtznh9fOP0adKPKXULhUJEBZvdNYm11SA+f+6J4wXu0zSNpdVVfrW6yno2y/rOzv7g21aLRqtFq9Wiee/LNE10XX/Ve/y++gE07Jc4KKZJXVXZzmRIxeO/8Uz00uoqkt/PoVTqkYPxDMPg4ytXyGsaA9MkbBgcn51lKJnEtm0koK+p6L0e3nSa3Noa2mDA9s4O/cGAUqnE1naGxbvbrG7U2diMstcMMT3dR+t4CSg1jKCfiKbx5unTDAWCjMZijMdjjMcipAIeeuUt3FYNv9RFa5RRCSL4EmTX7xALBZ9YB23bNhubm1xbW8OdSmFUq5w5dIipe8G3bds0m00u3byJO51Cb7RYmJxgdmKCjUyGXqv1WiyvfH+VRg/Q0nWMQIDC5uYzl3TcuHyZwfYO5qDPyNGjDCyLo0eP8rVvf5tgNIpH0zB1A93lpp3L0W816TQaDFotDE3D7PXA68VoNDCqdd6eneG9Cxc4MjFBT1FYyWRoCmCLEv7+gLcXFpiZmiIcfnDO2d1cHsM0OLmwQHVnh4ZlMj41RXhoiI6qkvb5CAaDTI6O4tZ15hYWUESJ3Ooq7WIBo9PB0jSse7N2YOjYpolh2eR0jZvNJvVGHUVVCcTj/Gxri8HwEJFUCrfbTXl3l24mQ6Bex20YqKaFKEtg24CNhUir4iXgsRiJhh+6QdfrdSrVKnfu3uXu7i4r2Ry5ThtZ1xm025R0HT849X9fUc1mk45pMhIOP1cAnWk0iSkuwuF/rEsVRZGJdJrtfJ58sfjQoMLtVh6/LJAaenIA3Wq30dxuepUKYyMjbOzuok1PY1oWy4uLyOy3y/vvx0KhwH/88EPuuD0oiTiRaATNMLiezZKv1zECAYRgkO2VFcx+n7ATSL8SIuEwaUGk1GyyJktsZrMMKhWiodAzBdL3A+cb9Todj4dZUeTb588z8hljq2A/iE4k+2QybZaXdKamIRB4fDmppmn87NIlVl0Krk4XQ5IgFmN3MGBnMGCr22O122G712MPWK2UWatUuLGxwd3dXbazOdazGTLZLKIg0Gq1sEzzuWYA+xK9HgE07N94EsHg/lybu7sMf0YQ3Wg00DTtuZ6QTNPcrwNutzl25MgDP1NVlcW7d7m+vY3hcuEbDDg1O8tuoUDJNNkoFdksFKj0+2iKjOXzYRkGzUCAuiAgJxIUVZW9vkrfDuEODdG3UtiCQSq9hSm3MT1BNLWKkYgiut3sVSrkSkUyu7sMej1kWSYcDjOSTpNOpRhJpxgfGWansI1Ub6B7ptmp1Chl1ggFAg8F0rVajcs3b6KFw+itFpP3uvfvl5oMBgMuXb1KydDRNJ2YKHH62AKBQOBg/mk7EkHo91+b6cP8fj9u22Z3YxP38DAbS0vP9ADRarXodbskNY1AoYg74Gev1cIjy5w8eZLZqSni4+NMuBQStk29WKLTbjPo9bBsCywTS9WwFYWILPFn3/gGQ8kk26USRiCAFI/j7Q84NTbG7PT0Y3tpMtkMoeFhYn4/IyMjNPb26Hk86G4PvXabtM+Hx+NBFEWGkkn6lQojk5McOXoUu1ajXi4z6A/AsrF1DWswwBqo2KYBto1m2+R0gx3TpNrvk7UhOJImlhyiWanQzOUwsln+6e/8DqOpFKurqyBKiOJ+EG1pCrmPIkj+QxiDDB6XRbFU4vbKCku7u+RaLWqWjeD3ofX7+AQBjyyjKQonJifZ2ivQajWZfI4yJsfLr9ls0jEM0s8ZQJc6HcKK8tDUcJIkwWBAR5bY2txkPJU6CFZ3y0X8gsDwZwTQoVCI64tLeAUBj9tNRRAIeb2o2SyaKFCTZNZWllFsm1qtxs9v3+aGLCMPJQlFI3QaTYqZDP1mE20woKrr7PT79BUXhtfD7vq6E0i/Au4nXWaHhphSXJSaTVYEgd18nn65TOQzAmnLstjNZPhge5stt5voYMA3Z2c5PD39TH/3UCjE0YUgd+9WWbwlMzrWe2Ri4X7wXIhEeMvj4eunT3MknWY2HGY+FuNoLMaxRJyTySQnkknkWhV3r4/fMPAKArJto5kmXctCj8fZ6XZZ03Wqu7scfrnXh/jqBdC2bR/8+9PBicvlolutIobDbGxsPLGc4/qPf4yRy7GxvEw2n0c1DEL3snGfFfRsbW9jRSKkPJ6D6dls26ZQLPLhnTvYgQBuTeON+Xkmxsa4cucOvlQKoV5nyOdjfnyc0WiUQbGEHArRKRSIBgN0+gP8wQD69jYx28Jr9eiUNMSBxolDKsdnpxiNRNjNlVGmJ9DMASFBIOH30643UMJh6qZJX5K4s7LMbjZHvVJh0OvRbDbRZImF8WG8Qot2XccKz1BoFinsbDCSSmFZFneWltjp9RBdLqRGg7fOniX+iZlEtra3ub21hf9eVvqtU6dIf6oeNRaNUqhUKBYKX2iN18vO7/czMTrC9vIywbk5lm/fJhGJPFVWIZFMMjY7i3dsjIJlUtrdxb+boZ3PsbW9zXarhSGKfP3oUd46e5bjU1O4BgPazSYd08DlD+AJBFCGhhBTw8QDAcRQCFkU8XU6iPU6gbExchsbeN3ux9bdG5pGTxAYvjcwNDU8zN7qKm1FoalpTN0LoGH//ZdMJokoCs1Sibe//W3mUylchkGhWEDTdDBNLE3fz0hr6n5phw2abVEzDFAkAqEQkqxQ3d2ht7PLhM/LO++8w3B6hEKhQLVSQZAVLE2hsz5KvzJBcbeNHBslPCrRtPsMul08wHg0yonJCUZDIQ6NjzM7OUmzWsVOJmlmMgyHgujhMFa77ZRyfEXU63UajQbtTofN3V1c4QghWXrm7Jau6+Rb7YNBhJ8WiUSwuz16Xi/ba2uM3guid0slPE8RQAuCwFo2i1sQyFcquLxe+oUihqHzW2fO0i+V0ASBgt/H4t4eHzXqSMPDhGIxjIFKc2+PXrWK0euBqmI2GpiGQdMwyFaq9H1eNI+HjbU1hMEAURBe9gzfa02SJAKBADPJJNNuN8ViiVw4zNrODv1ymfAjAulSqcRPr19nU1Gw223+6NAhjk1NEQgEnhi3dLtd/tNHH7GVzbK5u0uxWEQSRXr9PisbVfyBNlNTQVwu1wMx097eHn976xYVr5fDqsqZ48eRJAlJklAU5ZFfw0NDTI6NMT0+zuzEBIcnJzk6NcX86CgzwSBHYjEaW1vsiiIzgcDL3Eb/tWB/MuJ8hVmWxS8//JCNwQDL7SZqmrx34sQDwd19yysrtGSZTqnEW6dOPTJYaNTr5DIZWoUCLlUl6fXS6HYR/AF6LoX01BTxeByfz/fQ8X/+0UfI4TBvHzmCIAjsFQqs5nLobjd2q8XRiQkmJiZQVZVfXLlCMJ0i0Otz4vjxB46Ty+XYUjW8skQvn2d0eJjFRp2saZHL5ekNBrjsEGFZZRiZ8UgMXAJGdBapvIXoMXCnUlitFv5YjF69jtDvo0gSummimiYEAoRjMar1Or5YHLIZIoEAo+k0t26v09RDRBeSDPJbCIJAeGgIfW+P08eOPTDtWKVSYXFtDTESQWs0mBsZYfJTy4/ats36xga5ahV/Oo1ZLPLWhQsvuul86Wq1GrdzOTzj4/S2d0h7PczNzlKtVu+VIjzIfsSNz7Ztut0ue5kM/lSKRWDY0PF2uhyamiKRSGBZFv/uP/5H/nZlGSEcxhOOIEejWIEA814vX5Nlzp8+jdfrxTRNfn3pEtb4OO5ej065zFAoxOG5uQduYB9dvEhgehqhXOb4sWMH5/KLixdpTkyQyOV4+9y5h7K3vV6P67dvQzJBb69AcWeXS7dvsZLJ0sdGcrsRFQXJ50MJhXCHQsjBILLfj+z14gmF6BWLBAsF/i9/8ic0PB5mgkGyuT3+9//X/06r7kXrzGP1/YhiGckTZPzsGN8+O00quc25cyce+6AyGAz44M4d0HW+dvo0v75xA9Xl4uzIyCPnw3Z8sbrdLrquP/eYCE3TqNXrYNs0Wy1KtRq6baNbFqZt4Y1EcbvdmLaNW1EQXC7UWg2vYTB/+PBTzXQE+234dj7PiMfN+NijH/xt2+ZXH3+Mb2aW/uYG7779Nj+7eYu4JHLqU/f3R/m7jz9GMU2kRAJvq4UgCFiRCKdGRvD5fOTyef6mWODSbgZPIkEkmQDTop7P070/+025jFmpILk9uMIhvJOTCJaFJEp4vB7G4nHmYjEito3SanLsyDyxr/hg7q8Cy7K4fusWm/U69XAId6/PIY+HU0ePYpomN5eX2QHUfp+zsRjHjhx5quSMZVn8u1/+ko4sE9d1jGAQw+MB06TY8dLVJaL+DlEzSeViCZes4XaDxwNNC9yH4xwTO0yOpYhGQ19IwNtstfiLlRW+GY1yZG7uRV/6xxG+MhnoX3/4IdebTcz0CMOHDuEeHWVxZ5duPsfQp1bkSyQStEolrFCQrc3NR5ZzeLxehoaHGZ+dJX34MAO/H8Pno1mv4+p0aMsyBdNgeXmZQj6PJAiIokiv16NomoitFpFgkI+uXacmS+iqypFEgrPHjxOJRA6CZ088zoTbw+FDhx56TdcWF5EkkWq5zE67za9LJdYNg93tbQyg02xSbxTJbllc+amXS78WuXNLZulSl2ZVoNVSkT0BFlJ+AqJIo1bbf2ME/Kj9Pl5JYi6VIohArVJGM0xsAUyvj3yziex3YRkNwokorWgEXyKBVSxyaGzsILPe6/W4efs2+V4PQVEYDwQ4c+81ftL9so+ux4M+6JNUFI4vLLyW3eRer5fhUIjsrVuMut0U1tbJLy2RHKi4mk3kegMtl2eQzTHY22PL66Ni6FQ1jYqm0dD3/90EpFiMvsuF2ungabdRYjHKhsHS8jLVYpGg389WuYwRDuMOBrFtG6PXwxRFpkSR+Xs3J1EU6XY6mIqCXiyiWxZyIsHK5ibZ3V08ikKv16NQqWElE3SrVUbuTXcoCAJrOztEEwl6oTCllRVGPzVA5f7qf61CASkWRXa7OD9/lLnREdq1Go1GA9M09mcOGahY/QGWpoFpgWXtL9KSz3NkYpyZsXEURcEtihgCdPUom5dd2OoASd5DFDUkj4xuiwRshXh8lGZzg3R6+JFZGFmWaVUq2MkkymDA9OgoZVWjXCg4pRxfkG63iyzLj7z+12/eZK/bJagoz/Th++HHH7O8s8NmoUDf5aLa76OKEr3BANOyUBBwiSJuw+D41BQjoRBJvx+vadLudPCMjbGTyVC9N83kZ/Us7megW4Qek4GG/SzyaDrN+p3bEI9jNJu0dR2v8Nk10ADr2SyJ+Xn6uTxvnj6FKIpURZHs6iqKJHFpcZGftTu4ImEiiTiiINAsFukWCmjtNnqnw2BlFUtV98caDAZYgwGiP4DZae8P+O332Wt3wOUiNTpCplxmZ32dyMud7XvtCYLASCrF0clJxiSZYqnIttuzP2CvXqfqdpMeDPi906eZHB9/6nKNbq/HtVaLr4XDfPPCBWbCYeYjEcRKi8zHEc4l87w9lsCu54iFTbxe0G2RTXEKWQsg5r2sr7r45c/diNI6s7OfP+lgWxbZWo12vf4yl3F8dUo4Prp6lbJpEh0awucP0NN1/ENDVGWFpTu38eg6sWj04CaZTCTolEpYoRBbm5uknjDF3f2apEQyyfjcHPGZGSRJolUqg21j+LwYfj/re3uUm01c0Shao8FOq4UlSURMkwvHjpGIxxEEYT94vnyF0OgIwcGAQ4cOPXDztiyLpbvL5EWBjU6HxV6PnCyj+3y4fT6ay8vUNzYwul36lRb1WwJGq4uqtmg3WzTqOjt7Y1TLRynuBOl2l/jme8eZGh8nHYkgqSrNThspFqVtmpRKJdzBAKKqEnO5kHUNq9dDU1Wi42N0AXlnB6/XixGLUel02Lq7TLvVYi2XQ4hGMet1jk5MMDY6+sBrqdVqXLpxg6KmoWkaIz4fZxYWGB4aeq0DE0VRCPj9ZDY3sVwKvmPHKQcD+OJxNhsNrHic1Inj+CcmSIeCpP3+g69hv5/U/X97vSQVhUw2S2xuDrtQIOly0ev3McNhrKEhaoMBxXIZqz9AsG0QBPqqRiwWI6RrBw9DlmVR6XYJAG+fOwfdLp1mEykQoCp6ubZss+f20PaaSKEg2aW7BO6Ve6zs7qI3GsQTCaRYjOzy8kMLmgiCQDKRoF0s0dE0TL+fhakpfv/99zFtm2q5Qq/dwbLMgxUSbVXFNk0kj5ek28PvHDrE2YkJSmvr9E2Z1nKdoHcOeahKjxqWZmEbNq6EgjUQaZY0xsYHmGaKZnPzsUF0JBxmY3ubZr3Okbk5suvrSKOj0Gw6pRyfU7/f58Nbt6iXy4w8IqMfDoXItNvUCgUmnmHatfXdXdzDw0jdHulAgJmhIYb8fmZHR5kdH2d2apKp8XHGx8Zwu924XC5cLheBQIB4KERxa4tOr4eSTrN29y5uScLv9z82kNZ1nWK7TejeGJLHEUWR0VSKjdVV6oaBx+VCgacKoLfzefpuN1NuF0NDQ5TLZXpuD/5QiI12mx/X6/SCAULhMKIk0arVGTSbWJrOkN/P4XQab7dDq1rFNIz9EqleH4T9oMRqt7ENA8OyqHa72JUKo4qCHQySb7fZWFvDGAwIBYNOnfRL6n48Mj8xyYSicLdaxVRV/vjwYY4dPvzM47Yu3rxJ2bJ4c3wcn8+Hy+XCsiz+z/9fh9GRAr//7QvEYjGmJseYmxtDdmlkAiqjkRrf+cYIJ08onD/vQRBWuXMH3nor/bknB5Blma21NUqqxpmXdzGgr04AvXj3LpXBABGQBQFZkhhoGq6AHyU9wm69Qe7uEulk8qBbI5FI0K1UEO4F0aPDw0+9bGooGGRsZISpsTEmk0MMKhV8gkDdttFtsIIBYqrKm8ePMzE2dpABLxQKXFxawhOJMO52c+Tw4YPGVq1WuXz9Or+4e5eLzSYrqkpNEJB8XhLxOBPpNMFQiPLmJu18HmMwQO/YqGUL2+6B3cGmhW358HoniYaidDoWGxs6hw4VSaf3R4dHIhGmRscIyTL5nR3SJ09SlUTkaAw5GsUXj+OLRgkkEggeD4YoMpJO4/N4aFUr2IEgg3gMIRJBHAyYDoU4sbDwQFdotVrlyr03puBy4VVV3r1wgWQi4dyY7/H6fIzNzCC5XGS6HdRoFFckgujxUCuXiIZCRGMxPB4Pbrf7sV9erxe716NiGCTGx2nl83z9wgUSHg/b5QrmXp617W0EtxtJkUGWAAEDm0QkjNVsEYvFCAQCLG9t4REExkZG9mfgAIq1GmIsRrO4TtJvEAmHsGUFz9AQjX6f5aUldMAnCNj9PkPpFD2Xh9zq6mOD6FQ0SiGToakoFLNZhuJx3vmjPyLo9VLf26PdbiGwP24hODaGFAqSDIc4m0gwPjJCbm+PuhnGbCc4PlshJLXJ7ZUgEUEKenBF3WilHt2WQCIukhzq026P0Olskko9HETLskxhdxfd5yPp9zMyPMzO9jZ1TSfm9XyulTlfd7Iss727S0uSiLpcD5XMuVwucpubtCyL2WfI+HfbbQaSxFQsxvTU1MH7QZblzzyGoiikUymmRkcpbW0xUBRUl4v85uZjB2npuk6516dbKTM6MvLE40uShFsUUQUBMZHAbjQY/YxyoEqlQk0QkE2T45OTSJLE7dVVZFmmsb3NtXKZPbcbfyRC2OujW63Sq1Qw2i2m2m2+Nj7OdDzO3MwMo+EwomXRbDQwdB3LtrAUBbNcxla1/bEGloHXH+Dc2DjzExPUcjkGto0RCrG8ukYxlyP1lEuJO758giDg83q5sbbGkCxzen7+mQNX0zT59fo6imHw1sICsD/Rwd/+zS3cbj/vvTdMKLQ/cFDXdVY2Nvio2STQbvPt06cJhUIH7zvLUrl1I8j5C25crs83y5kgCOi9Hhl1wHQ4hNfzUvaMfHUCaLcss7OzQ6vbpdtuY+kaPq8Hy7IxLAtfMkk/HGLt7l1cmnaQjU7E47RKJVS3m62NjSdmoh9HEASi0Si2ae5na8tlZI+HmMv1wLLIOzs7LOfz2JJE2u3m0Nwcuq6zu7vLr69d4+ebm9xVFDKyjO71EgyFGBkeZnw4TUCWqWaz7Gxu0q5W6efz+910poHRErAtA9s2ABPwE/AHSMT97GSyGEaWheMDpiZHkSRpf6W3zU1WMhm86TS17W3SlsVgb49+s4kly7RbTQxVxfZ4kAQBnyTR6XYZtDso2n6GGkPHnUiwtbGBraoY9+Z1vLO0RF5VQVaQu11Ozs4yMzX1lZ+y7nnk83lul0oY7TbRbpdOt0swFsUSBFqWxcbyMt57QceTrl8iHie3uoocixEZHmb11i2GEgkK7RZhy2Irn2cgCMiKgijLCJKEYlucmDtEs9FgNB7fH/BUKIBhYmgalxYXyaoq4UgEobjHt946y1QiTm5tDVNV8QYCGKaJNTRELxRCGQwY8vnomgad3V3kdJq9jY1HzjeqKAqTY2N0ymX6oRCEIwxEgal4nKOpFOs7O5jhMJNnzxIaH2eg65i9PjMuhUylgndqCio57IEHUWzyjXfforS7yZ2PNxHdQYIzKSTJj9kPE/T2+Wf/7Dj5/Bat1hi93sYjg2ifx0MbKGezNJtN5ESCdrvNZCLuBNCfgyAIxEIhsqUSpXKZ6bGxhx6q4pEIhV6Xws7uU2ehY9Eou5kM5WqVmeccjCwIAulUiuFQiOLODtLwMNv5PNW9PcLB4AOBtK7r1Ho9jG6X8adYHdC2bbKZDN172Wq1VnvinMxXb93COz2N0OkwEonQarfJ9HrYqsoHxSI7LhdCNIrf60VtNOjUa+jVGkO5HH984QLf+sY3yOzsYPt8vHv2LFNjYyRCIbRuj66ioHW7CN0ulq5jqQNkjxddlpmPRJienGR8bIzJVAqz2aTZ7aCk06yurOCycVake0mVSiXKbjchVWX6Od4DvX6fjxoN3o7FDubN/+jDWywuDfG7vyczPr7/oKjrOtdu3+aKLDHSbPL777zziHIfizu3+9h2lunpkWc8k4cFAwFuNpoYpRJTL+eCQF+dADoWi2H3evSbTVqdDoPBgEGngyKJuN0uBpqK4vGgpNNkO10yS4ukYjHcbjeJRIJerYYdCrG1ucFQNPaZxfeWZaFpGqZpHnzdvHsXA4Fz80dY3dzE1vWDG20+n+duPo9h27w9P4/f5+ODy5f5YHWVjzttViWJhteL4PGQiMWZSKVIRWPozSaZ1RXWbt0it76+/3DQbBD1eIkoMt1mDYs+ljbARsVGB1tAVU0q1QyGto57aBfx7BCbmxv0ajVWslnsaBSt2WTY7ebMwgKp4WEmx8YYHxpCUVX2Mjl8o6MIokh3fR2h1SJg2xybmmIkEmEyGiUmSTR3d9EkCXVoiMpgwPruLt6xUXqZLCdnZzk0O/uqT5b+G2GaJplsltulMvR7vHfmDNOTk3htm738HsFYjHYuh+jz0RIE1paX8blcB6ObP00QBJKxGIuLS4iAJxolk8kguN2MhkJs72Qp9buIbjeSLGNLEp0mxJvgHwmzs7ZGOpmkUKtBKkVd1zH6fWZCIebSaQ7PzSHLMi6XC1NVwe3GqNdRGg3sSoVev09kagpTkvBFo3SKRcx2G3linOLa+iO77gGGkkny6+uYooCrVML2+Tg+OcndrW3qikwwkSAYidBVB/R1nflDc4QDQWKqyuljR9nbW8U0RhHFOn6/hw8/aGFqJ3HJ84idWcSkRHpKxSdXOHpknHozi+4PEXY9PAOBx+NhZXmZjteLpigMCgXOzc48ch53x7PxeDyE3W7Klkl5N/NQz4SiKOS3tmlbFjOfkYXWdZ2ffvABF9fWqOsa4VQK5XNOiXk/Iy0NBpRLZeTUMIX8HuX8HsPDQ/sZMV2n1ukQkGWSiccvLKFpGh9dvkzFNNFkGb8gIMkStYHK1vY25r1z/WQgXalUqAoCWqmEKYqMx2LkCwXUUIjFvT1WACURR3R7ELpduo0Gg2IR78Y6f/buu7z79a/vd+37fNRMk4gkMTc3x/Fjx0jG48SmplAzu9SqVRSPh+DICJ6xMWwgahgcuzcGR5IkYrEYE6kUYVFkr9/HGvSdJcFfUp1Oh51+j9F7MyI9q2u3blEDLoyO4vP5WF/f5qc/8bNwbI833tjPSOu6zk8+/pidaIR0ucL7b731yM8gn8/HyuoOCAZHjz798vNPsrK+Rtc0OTE19SIv8+N8dQJoQRAYHx9nNJmkUy7TbrUYqCq9Xg9L0/C5PVi2jW6aeKMxtFicpdu3sdptYpEIw8PDdCsVzECAna1txp6wFLBpmnz44x9T+5//Z9r/4d9T/dnPaC4uElA1utvblPb2kAWBOhD1emm326yVShimybDHw5XlZX62u8uyLJNzudBcbgKhEGOpFONDw3gFgWomw/qtW2wvLVHNZOgVi0itNqPJId577z1OHJrl7WPHGUkmERQLw28SmI7hjcu4/CqW0cKyKvjSDcbeTSLEgtQVFxls8PuRSyVOHzrE5OTkA69TFEWCgQCTIyNs37lD3rDx6hon5+dJpVLIsnzw5fV6GUmnmUgm6WYy1MtlbF3fn/B/aIhSrcbWxjqYJi6X60tdRv1lt7a+QV4Uset1vn769EH5i9/vJxYIsLu+jjudRqtWkQYDRK8Xw+tje3sLj7Q/Bdejpmk0ez2agF6p4EsmscMRvP0ehiqxlNkFxQ0DH71cmOqHwwzKXY7PmvTicbZ2d3ElU+hdg7SlcXZhgXQq9VD2tdfrUe71sLpdLFHka2fPMiiVEF0K7WyWRquFlU4hNFvorRY9r5dGPk9qaOiRWfRoJEK+2SSqKOiiSCGfR7QsVooFJJ+PSCLBwDIRPF4CzSa/Mz/P6MgIkiTh8ylUqxrFYol+v8XHH9so0RlcQgy94qJbaHLquEpy2k8HQO+g6T22y2XS0ejBw91gMODW4iJiPIEWCDBu6Lxx+vQDM804Ph+fz0c5k0WNRahsbT9QBnGQhe52ye/uPnYJal3X+Q9/+7dcsm26k5NE5g6RbXfw1apPlRV+kvu1pZOjI8iqSrXZxDs6wtbKCol7s1Q0BgOq5fIjM2KtVosr16+znM1CMIjVaDAZiVCvqpiqG++giW7a9H0+Nrc2MT4RSF++eRNcLpKyTNu2mYzFuLJ8l6vlMne6XbxDQ0heH1qvh9Fu08tm8W1t8i+++dt88733Du7htm1T63ZolfbLTEzTZGl3B9m2CcsyBUEgMDVFdHISSxSxgbBhcP5e9/190r17TL5YpNftPneG3/Gb1e50uFwu896hQ8+cqLIsiw/X17FVlXeOHUPTNP76p8sEPD3+6I9OIcsyuq7z9x99zJbHzVy3yzfffPOJn+Ol4i6bG3HOnnu+GvrBYEDnXgJU03WqlQp1l4vpl3OA67/+za9p/SVLpVL82Z/8CSurq/z66jUK9To1TaPf7RAdHsYfT9A1msheL4EzZ1mrVtj96CPemJ9ndHSUyp07uFIpbty5w/nTpx/5O9ZWVmj++3/PZD5DMJlCUDX0X/wUAUiIIoLLjeX28eFbb/O/WBYhjxvZ7UGrVvlIlmm7FGyvF4/HQzoUIhGJIts2nXqNtbvLlPN5+q0WeqeLpA4YCQXxHzrEwvAw4sjI/gpvkSizMzOEgkHik5NUsbl19RqFTBYjpjD+tXG6lTruaAh3NIher2O53HR8PlY1jZyiUFpb4816naPz8w+9xm63iyG7sfIBxBGBX928ycnp6YNMYrVapdVqMzU1iaIoHD92jPuTNHU6HbK5HI16HX8iTsE02dnYwOr1iPv9jI2NvbYDs0zT5Mr161RFEZeq8rXTpx+qCfX7/bxx9ixXrl0jPjdHfXeXyViMfC6L6PWy2W6ztLHBwuwsiUTigQegI4cPU7l4iY4RglwBdWaSFjZ+twtzO0zjTgi0GJYWxjDc7EgiHXcCwSXjn5zCWN1C7SaY/ydHHlsyMpJOs5jJ4BMEAkNDdLtdzp05w8dXruBOJJBrNXyygjE/j6lrhIIhev0+V69f59yZMw89mHo9HoxGgwIwGomQ9/sZjsXwyzJav48lSXgCAQalCoVu54Fa++HhYYrFRXK5OJVKHtv2okQl7I6EZdnYhoaslzg19jWWN9aw/H5iyQQur49f3LnDuwsL6LrO7c1N5FgMSkUURaGgaczj+CIJgsCpYwt8cOsWdVmmVqsdDGCF/Xav9HoMfL6Hfnbf0tISW50OuqIQCQRodDqUWk2W223Gs1nGv4CuXlEUSQ0PEwwEWFlbYyCKXF5fR+h2wedDEB98X7TbbW4tLWEHQwx8fvy9LqcmJgiHw1y9eovKbpyBoiPYkwSwsQYeCKXZ6Kks/fwGEY+JHg0SVVXweDCBcrnMZqPJqm3jGR4mEA5R6XTROx20TAZpc5Nvnz37QPAM+w8prWLp4L3b7/chHOaQLJNTVXz5PQxBANtGEkRMUaTS62Ga5iMDHsG28Uaj2LbtlOC9hGzbxnrOmYhN06TjD/CG34emafzNLy9S9h5Gygj81x/f5Ld+6yh/f+0ag0SCd4DZiQl6/T70+w8c55OtIjUS5sOLIVbXNhgbG3ngZ/drpQeDAZqm7Z8/sLG1RaXZpKvrlHUDVzJB1zQpahqecBi3JHF7eZlvvP32i77cD/nKZKA/SRRFkskkR+fm6JZKNOt1eqpKv9vDUFV8HjeiIKDqOu5wBCuRJFMsUKnVcIVCGKaB3m4z+Zi5Pn/xX/4LnQ9+zVAogi85TG93i6pm0LNBM2103cAcDAhVqlw9doyCJFHVdRoeN7rLvb8KYGr4INtc2tlm/eYNdu7epZrZRa1UCBkmh2MRvrawwPG5Q4SmpxGnplF8XjylEgGvlxubG5jRKHqnw0IiwR+8+y4uQ8fsdCjnshD0Y+kaZreL7PViaSpWv4dtWRi2Tc22GVSrHB0ff2CaP03T+PjmTXRPmEE/SlIuopkGPUWhXS6jqRpXrrSoVuOUy4uMjj7YHetyuQiHw4R8PvLZHN5wZH9gj6LgisXI1Wpsbm5SK5cJ+P0oivJa3JxN0+TDy5eRxscRarXHzkEO+204nUrRLhYxEklq3S6uYBCt10NtNrElkb7Lc1Dacb9XQBAE4tEYK4sFwvEjNGrrmJpGcvYIG9dL7G2pYHlR/C7kEQUzACMelbNphWo2S2x6jl5ZY2rq8RkEURTZzmb3P4RlmWI+z+T4OKPpNGurq/jSabrZLP1eF6o1yvU6RiSC5fNh12qEQ6EH/t6iKKL3+zRNk0MjI9T6fVySxObuLi1BJJhOg6bT7/fxKApp235gbEGj0aDdlsnnM6xv+fHEhxEaIQzNBqq8/c6As2cXGB8ZxQvsbW3T7veRRse4s75Oy7IwdJ3DkQjH5uf3ZzBIJPHqOoGnnCPY8XRkWSbq87FZKlEslZj5RD20IAgkolE2Mxmatdojs9Bb29tc3ljHFESG4nHK+Tydep02YJfLHJ6aOggoLcvi2vXraKr6XHNMu1wu0qkUUa+X0t4emseDZ3QUvdFkOBZjMBhw5fp19nSdgSRhNluYdQNbF2g2G4TDQW7f7uJyVTg6K6JLBZJTHuzuJqJapleu0W5LtCLHMFISskvBVBQa2NxaussNw0AaShKOxdANk2azibGzg7mywu8ePcof/8EfPJR1FASBTDaLBsyMjnLt1i0GgsChVIp6o8FKNoMqirh8PgRZxrSs/dd57zPz00qFAqooMplMvhb36FdNq9PhdqPB2aGhZ85Ar29tsW3ZBBp9PvqwyJ3bJwiq28QnG9yxhrlu5hHTI4huFyVd53azyUqzybVGg2x/wHK7zZVqlfVWizuNBsuNBnuiAFNedqwBt5sV7vZ6rHa63G422V5bY3V9neuZDCvdLh8VClysVLhh2xSTSSrJJL10ikE0hpVI4BsaQg6GaOsarXyew4nEy5aF/uploD/J5/PxJ3/4h1y/fp3Lt+9QbbVoaBqDTodYKoU/kaDXMpHdbtyTU9Q6Hdqrq3jdLkLK42ugJZeLjiiw2etSzWdpqBptCyQR3IAHUAC736dfLDIYDBAkGVGWSCQSzKRS1Esllm7foVEu02820TsdbFUlkUzy5htvMn/kMIOBSr/fx1RVhhMJ3C4Xd1sttEQCfzCIUK+T1DTePH8eURTZ3d0llEzyO6dPc6bVYumDD9gZqHR6Pbpb27gTcWS/H61axXS7IR6nahgMBoODbnpd1/no6lV8Q0PohQaCN4Xq83J8JM3y9g65QICNxS4iKi7XCt3uDJubO8zNTQP7S+UurazQtW288TiW308jl8UVCmELAu2dHcLBICXTxIrFuJ7JoDcbxH1+uoMBA9NkPJl85LzYrzLTNPno8mU60SjuzS3eOnP6scHzQTuTJEKhEMVWi5QkUq1W0DQdweMhEArhDwYIJE6w3mygLi1xfGyMRCKB3+/j6JEAa5k+liLiiXspFSuExw6jZK8gxyQk0UYtGBhtmbueBv/N744TDgZZbTcQI2kWF+9y+vTJx56bVxDp2iZmq4UmCGiahsvl4vShQ9zJZHB53IyMjVNeW+Prhw9zd3WVHdNkLxhk6+OPOT4390D2fHZmhr3luyyvr+ORZfqxGLINljpAU1W8Ltf+nLiDAa1u74FzEQTw+4OUywMEdwJMF1gClm0gijqy/I8ZmtTwMKnhYdrtNneWl2nJMmqnw9mxMVL36jwPz85yvVBgO5t95OpxhmGgqiqwn0E5+HuJ4st2g38pRaNRJnw+ah4PV2/c4MLZswc/8/v9xBSFvsf7yCz08PAwSbeH7WqVxY8+whYEpECAvtfLmsfDtZs3OXf6NIVCgdXdXcIjIwzu/a2eVyQS4d233qLZbPLr1VXic3NcXF9DkhWsQADqdQ6NjJBr66wXUiSTIvW6m7/+Tz06nUlGxzqs7dSQfDp22E+748XX6TKUVJjye+inDLqlGq50mtzaGkVJ4pZtI6SG8QZDGKZJvdVEy2ax19f5nbk5/vj3f/+x5UXxUIi+z8fe3h41TcNjmsTjcU6dPMl/vXKFlqFj6DoutxsEgXq/j6rrjzyWx+Wiblkvusk4HkM3DML9Aa5nLI80TZOb2RwdbYH/9F89CHM6Z347Q11Q0WWRmKuO0hjGs2px6niToeTTjQOxLIu/vpRjYA/wDdewp6bZUHu0bJtAKoUsSkguBVlRkF1uREkkatlYpomua+jqgG6jga6q6JqGoaoYgz66qlKr14m+ZAv+fKUD6PvOnDnD9PQ0//DLX7JRrtDXNIqDAYFWi1g6DTZ0NA2PN0jGfQaxoRLqFmlVryMIBsmkD0kSEEWBsbERzr/7Lj9eXmbtV79CHgxoAH1hP2iWhf0gWgEGHg+VfB67VkNyuRAUhXKtRmtri3athtbpYPV6eEWRIxMTjE5OEpucxF0u0cvmCHg8HJ+aYqCqrFQrkEoTdLnA5aJvmgQlmZnpaXK5HOv5HP6JSeSpKXq7uyRjMd45fZo3dZ2bpRK3l5fp7+yghCN4UkMEk0kIBui02hSKxYMMzcWrV3GNjuBtNKk1QRC3UcU+i60Wpw8d4teXttG9U4S8Nzl2aJbbtze5fTtGoXgJTTQRAgEIBJAaDTztNqcPH8Hv9zEYDLh88yZWPE6xWuXc0aNIkkQml0ObnqEtinhkmYSisLO0xOxjuhRfRZZl8eHlyzA+jmd3l/feefupszm7uRxKOEw8ul+yA/slMu12m8zWFj3DAK8XaXyc1WqVu2tr2KKICXTsJi1jCs0tYLY03voDP3lliMwvexhtCcuSwVIoF8Ps7uzx1tvnKN+6xY5PpVTrPrHbdmJslJ1ej2FZpuf2sLG5ydH5eZLJJIc0jW1VpVYuo7ndCILA+TNnmKpUuFGr4Tt8mOVGA+sTZSiyLCN2uqiyxOn5ef7L2hqjR46wfesmg06XYNKLJEkMLJtMrfrAudg2uFxBbCuC7FOwui4kwLJMwmGLUOjhGTSCwSBvX7hAqVzm+s4Ot7e38fv9B0GJUSqh+n0Ui0U2dnYwTBMbMGwbE0iOjzEwTHTDwMJGEUS0XpdjqTRDTzHf7+vu1IkTXLx2lYJuUKvXH1gJ79j8PDeyWZZWV3nnjTceKFGYmZ5mfmiI7OISA9NE8npBkhBlmbIgcLVcpnPxIsHRUSS3G6XdZv4pVgB8GuFwmLBl4RdElIlJWqurnDp06KAcbWurQjhc4cKFEfL5PWx7iKHh29RqKnu1Y5Q6SWo/6VHvhlDMGKJh06x1URIVYucqeKdKGPZ+cGO43fgkCQVoVSp02x201VVO+/1850//9JHlLfcNDw+zWK+TqVZxDQ0xce/6eTweZkdGyOzsYOr6/uJfgoApCuSKRc484lgC4A8GyefzjH7OGnPHF+/u9jbhSBjTNJ96n3a7w8/+YYllUgzZbub/2w5lVwW1VmHe5eL07GH+v6urpIUNyn03f/vXEf7Fv9SZmBh57GeyqqrcuH2bnXKZ3pCHxUYNbBdRbGYPzxPWNWzbRlUH6JrGoNlE7Q/Q1QGGpmLq+v4CWoaOrelYhoGtafv/Vgf7422+oPfxF+m1CKBhP4vwJ3/4h1y8eJGVnV2yjQZNTWPQ7RAdThEcGkK1WkTHvQjjbvTuMGpbwC7W2NxsEYmMoSgetis55ECfhf/+/8rehQtkVlYwOx2Eep1WqYTR6yFoOpgGdY+bTqFwkH0WZZmBy4XkciGrKmmfj6OHDjE1MUEykaDc72OVSrz35psHgcvi3btkTJPQ6CjZO3cQXS7GEgkKrRaNcIifLy0RTSSILRyjtrtLUFP5+htv8ONf/5qgx8PX3nqL9Po6kxMT3L17l5XNTdLpEebeeJO7uzuYukFmb4/5I0dYunsXPeDHyuU5evQoG2ubhEID5lIptrpdPrq2g9FzMZZYRhwaZXMwQIgpKGE/hcEIIdcKQ7bN5Eia6KcGpXg8Ht598022d3bYdrm4Uy7TL5fwxBOIzSY0GjQsC3luDvfYGEvLyxw7evSVX2zFsix+fekSg0gEeWeHN0+ffurg2bZtmr0edq9HaHJyf6Db1av787jqGuJAZcrnRanXoV5DVjU2p6fpAGa1il9yU86GqBbh/OFlRhNDXHYN2NF0MN1IkollWuwV4Pr1Om+9DUePHGHrp6v0U8NcvHKFk8eO4Xa7H7px+n0+7EaDcqOBBgiieJCFTqdSZK5exTMxiR6JcGv5LudOnCQejxPc2aHSbjHtD5CVZZY7Hfqrq0iCgAooIyN8cP06/mQSZXgYBJF+s4EwPIQiy6iyTL7deeBcRFHAMAx6fQE54oGmfO/am5hCF9Xezxp/skzpvqFkkjPAlZ0dfrG4iMs0CSSTBCYmKCgKS50O4clJWtUa3XoVSRCRBYFWLo/Efl2gAFSqVdRIlDvr67z3qbp0x8MEQeDsiZP88sYNLq6u8tbhwwfZpWAwiNBsEpyaYmdnh+np6Qf2/YN/8k8oVKpcLRYQZQlLFTFlGUGS2RYERgIBoo0G5+fnP7OX51kdO3KEm0tL2KMjdHT9YEVC0zTRND+iqJJIJLh0cYNgIEI2W+V/+XcROqbEdDxAteul1m3vXwMAXAgVi1p9lLHvbCN77gVCtk2vUmUgNRioA8xanVOBIP/3/+5fPjF4hv2VTn2tFt7xcWobm8y8cQHYL58Jut1Yuo6ha9iWhSgIWJLMbqPxyGOFQiHatk2pXHYC6JeQCRj1+lP1fHW6XS7dvMXllQjNwSzm2RJmrIjSavGn3gBzX/86iqJg2zZxTUN3u/kX//Ik/8d/vM1/+IsoJ05e4du/f+Hg3qaqKtVqlatLS6w1GmxZFl3bRjXr2Fh4LYWE308+n6FWqWIMBhiqiqXr2Iaxv1KmpmHrBpa+v2qmrWtYmo6tqveCaB1r0EdTNYzH9JK8SK9NAA37tZZvv/02x44d4xe/+hWblQqtag1d1ei1W8TSIyhB0IQ+gaEARtLGcqkckbwMJyVMcwDEGagDdvN5gtEoR3/rG5hDw1j1OpauI7g9NFZXaLVaXFpZwS6XMe91gYmiiCjLLExO8vbXv86bFy4c3AwLhQJ1SSL9iXrgVqvFRqOBPxql3+uBtb+scbtY5MKhQ1za3aU3PEzQ7aa1uMjxmRlSw8NYloUgivupOeDQ3Bz22hqdqSkyhoEhCARcbjyyTMftpm0YXLt+k4Y7TLfUw2p7+LDeRFVdHDuWJplMcPcfrqEpJ4kP38Tj8VEsFHAlk/SxCfibSF4TKZCgWMzTWF4hEQoxNjLyQO2hZVnouo6hafiCQQgGCdo2SqPB0TffZDAYsLK6SltV0WMxih99xJF785O+iizL4lcXL6JGo6QMg5PvvPNM+1erVWITE7QzGURRZNDv42o09kuCXC4stwtjYoKdQgFcLubmDjFq2yxns7hdLlpZDa9HJBGw6LQ10qkUX18Y5c7dPPXbGkg6gmhiWQp378LeXoF0OkXEBy13DCvq4YPtbfRaFb8k41cUji0sHEx11b17F7cgMJlO05Eker0erntT7b15/jwfXLpEb3QUaXiYD69c4RtvvcWZEyf4+fXr5Gs13j5xguW1NVRJwu314g8GqWsa3uFhqtUqsyMj3Boaot/roRsGLkVBlCSyvS75vb2DAa2Tk5NcvnSDhlkneDiOmzaKaTO42scXlIiMp9B1/ZEBNOwH0f71dbRQCLHVxqzXUWs13IqCapkMud1MpYaJLRx97N9qZGSE24uLqKlhlldWWDj6+G0d+1wuF+cOHeKD1VUuLy3xrXfeObj3nVxY4GY+T6vReCiA9ng8/JPf/iYbf/EXtAYqoiTvL1ntcqGLXm7vFRiORZFl+bGD455XJBLhG2+/xQcff4wyOsrPPvqIM/Pz9+5zHkZGDHZ2Muj6OAgZfvyTDJVaiOEhme7ApjvoY2plsC2wLQTbQsCgmzdprzfwDPURbBvbsvZXDQUMn48xv5+vjY8/1VR9Pq+X5t4e9elpgqJw0O4FQSASCuITRUzDuBdAiyBKVNQB5XL5oTro8bExlq5dI+k8EL6UBpaFT5Ke+MDe6Xb56OZNdmWZSjSMeEFkWKkjNdv4ND9TqsrRc+cOthcEgXQwyHVNo93p8E//7Di/+MUtrl8dxTAv83u/d4pLN26wXC6z2u3RkEQGuo5t29imiW0YYBhYloVdq1HMZGjXapiqiq2q+//V94Nk+xPBtGCa+/+v65iath+/mOb+z4IBbu3scPQlu6++VgH0faFQiD/49rdZWV3lV5cuUWk0aGkag26P6NAQ/lSKTqvJWHKIWjLJjTu3+W8mJx8Y/T81OQnArz7+mH6lwjfvZVw/un6d8PnzbG3nMJZWcIfC2LaFpWmYA5W4y8Ufvv8+b7zxxsGxbNtmeXsLdzDE2L35DrvdLpfu3gXL4s2xMT6+eRP33BzqwEbNbHNrZYXI3BxGq0Wv28V0u8nmckTCYa7dvElichKpXj/4HYcPHWKvWMSlKAxME13XoR+gW7CpuNJIppd2LUvUZxMI6YyNGUxM7C8x/stfXcPtOUXqsEauGsXSVRTLYlZRSJ04gW3btFotbu/uEpmdpV8oUBFFqoUC2vIyLkAWRXRFITg8jFSvE242kSSJXLOJL5HgVxcv8uaZM5w6eZKxWo3r+TyC10tO17n7wQccnZxkdHT0lcnsWZbFzz/+GDsWY9gwOPkc3U+madJXVebutbVgKMTMu+8+8CFqGAaZe9mj0XsPGgG/n8tLHfZ6Qyyc1xFLt+n3ptjc3CYW9BPz+qmJPWzbQBJMTBTW1z2sre2iKDJywo3LVDA28xwaT7LdaNC1LDSPh19tbeGyLOx2m0goBC6FeCzGzuoqnb093nnzTWD/YfH8yZP8fGkJ18wMytg4V27c4Pzp0yS9XiouN/VG46D+9ecff0yz3ycsCAwkiRFFIR6NMRKJsFqtomkabkVBEEV0r5ftTOYggHa5XJjoSOMqvsM9IukGimeAMFdgoqWjeNzk8nnmZmcfeZ1VVcWQJIRmk9/5xEPOjZs36YaiSKL4mVk/gBPHjvGTDz8kI0nMW9Yr01ZfpGg0yrjXS9Xj4cr16wftIRgMElBVCrL0yMBuemqKd06c5Cd3bmNqGoIkYfZ6iLJMXRS4XijS1K/gEwS+9uabX+jfQhAEoqEQHkVBi0a5tr1FQlLQ9TA+r4s7dzp4vDaWpZPLuZFlH6moTKkxoNfNoHfXEW0VARuwEAQTwTDo58oYLXU/cLZtsC2kaIxoNMqJI0ewvT5+vbWFr93m1PHjD3wefZIoigiAYFlMjz+YfDh35iz/6aOP6eoGpmEgeTwIpoDm8ZAvFB45kFAETJ5vpgfHb45t2+iWhf8xiYFOt8vV27e5DewFAnhsm9FCkUmXi0oshjg6ii+T4Wvnzz+078kjR7h+6xb5YpETR4/yzW+eZmB+xIdbUX76F/8HA69E7147tXXtH4Nmw8A2TUxdR200uFYooPV76M3W/na6iWCZiJYFhkHI42FmfBwZiEciSKLIdi7HnbVVQDh4kDT6g4MHypfJaxlAw/5N5uj8PNNTU1y+epW7OzuUajXKqkofAU8ijkuUsGwb0+vZX0HrETcsWRRRPB76/T7BYBDbtqnoFh/9zUW0vonoEcAALAvJtDh97DinTp164BilUgnfcAqhXj9YwGV/WqQgJ3w+AoEAIbcbRddZ3ilTqx8mMAGh7V3mklECfj+3SiU6qRQ/v3WT5Ogog1yON8+fp9fr0el2qTcaDCwLryQx8LjJtbpY3RCC1KMTKTFiNflnf3j2oTl/L16+giUdRhxqU9reQOiG6at9fu9333ggo5dMJjklilzf3MRSVRamp6nV65RFEf/8PO1OByybSDBEw9ylXK8zNTrK4XSard1dlGSSD+8u4zcNNE3Dk0hQ7fXwmSbBo/Os5PcQBIGxVyAbfT947ggC04bBiees3coXCsjBwMEH5f1BhZ+kqiqp8XGqmSwA29vb3LhRIhhMc2RigK5ALOZH7YOq6limjVYcYJsSFhqSZOz3anRMNjca4FqHdBp/5i6CPczqcp6FhXHGx8cpVyr0ej22slm6ts1AEDF8foq3buHz+dAsi063i9fjuTdHs4+ArqOaJj5DpxsMcuXGDc6dOsVPP/yQxaZCNBLB6/VieDxo/T6nFha4vL1Nv92mWCohd3sgSXT7fRKRCJIs0ez3KHyqy9m0B+guA68kIojifnZN6TOadmNqKqVK5bEBdLfXw5dKQbH4wPf9fj8Ny36m+sJ3Tp/ml8vL/PrSJb72qfpdx6OdOnGCX3z0EUW3i0ajQSQSQRAETh4/zmB1lTsbG3zzXmBnWRZ7hQIrOzukj84zX6tye28PS5YRJBFzMECQJHYEgZlIBMnrZWd3l+kveCGGw4cOcXV7G1otBNOknYwh+ZIUy3cQGGNyssvVq3UKFYlwLIIsKnT6TUy9AfodbOogGojY+6Ng0Rnku6iCxf1veYeHcc8eQrRB1Dy4WiMoo20G0Sgfbm3h7nQ4e/w4Xq/3gSy7rutoQERRwHiw29vv9zMSi7Emihg+H6KigG7QGPTQDOORr9UtiljOQMKXTrvdxvR68Xzib2PbNt1ej8u3brEtyewFgwiNBifqddJuN7rHQ03XWTVNFipVjg4NPXLROI/Hw7CicCeXY3Frm7vdDnUEOokCpi3uLwVvmmAY+xlkw8DSdUzDwFRVLE3F7PVhMMBtWUzHE3QVCSUUZiESYTQUYv7IETweD7IsMzq6v0pyq9Xi//1v/y2SJAP2/iOmKKIIAqcfc/9+kV7bAPo+j8fD1995h0g4zJ27d9lsNjFHTax7XYmmZVKuVLFSj15JbeHIES5tb7OTyVBvdShaw1z73y5T2K6D7EWJDRBEDQyddHyS06fOPDTdzNrWFlYgwLl78zEXCgVaLheuRoPpe5nteCxKrttF8ZkoaQ1tuUdT+/+z959NkuVplh/2u9q1FqEzVEZERmpVmSVbzkz37MzOAFiQMCzwgiANb/kVFt+AL2g0krYkYKAZaAsYCe7s7MzOTnd1V1dVVmoVkREZWni4R7jW7ldfvvDInFTVVdWiumaqjlmaZYbw9Cv8f8//ec5zTpQju8Y770zxg2SSj27fRpudpVqpEpVlfn7rJp7mJ5xK0ur3CGcyJI6O2NnPYWaHSJ2Mox/1sXWd2aH0a+T56fo6/UiYgLvJTs3iYiKJP6OxtZXixo0HfPDB1Zd+PplMcsHzuLe9w1arhRoMooki/ZUVFqemEBSRraer4HkIySR7pomIh5BKEopEaNk2PUFgJJtB0Q3ESITu1hb+aoXRaOwfhQbP8zw+vHmTXiLBoqJ8Lmn7Mmj0etidDuHJqV/7c13TJB2Psb2zw+aBiyBqjI/rPFpzGDMl6h0PJRKnVNrgr/5qifyBCIziul1EsQf0kKUK4dgw/XCIULHIteuX2Nzcot2eYHfXwHH2mJgYJ51KcWJiAoD1jQ3amoqRTNJstfBGR/nV3h6RVov3rl8HYHpiggNdxxBFKJfREwnuP3rMhfl5lmo1nqytcfnYzs+XyVCtVgkrCuHZWRqSTHZ2hse3b+OKIpIkIUsSlqyw32q9pGt2PRNBEvE8D1EScY+rIKZh0KloeJ73uTpoz3WxDYNTr0gFDstlnGgU/1ewQAsEAsRcF3V6mvX1dRYWvnOT/iIIgsCFxUVubaxzf2ODK/PzzwNGvFYLLxikVquh6zobe3sERkZwBYGpUIjgxYsclkrUdB1BlnD6fURZxvL7WSoWuZJMsidLiHt7nDju5LwKx3FY39hAlmVmpqe/1KZHFEX0ZhNBFPnRtWt8+tlt+vIInjKFZOwwP/8W/7f/69+DOEE0FMF2PQy7D06TUDCHz98nEA8T9ikIeETHMvhEm+18nh4egeERQidm6Nnj9PZb+GcNJEdA39wiMjeKqyjo4TC3DnLYtToTySSz09PIsszO7i7RiXF8ssRRocDY6KDoYJomD5aWyM7MsJnL4dTraMkklqbiGjoHpRJX33R+dJ2+pn3nBf0VYNs23gsVU0EQPldC9tvAcBzEF65JtVrlRi6HMzbGaKOOqCg0wmG6ts2+aYJhUlNkUqUS7589+zy++0Xk83nuPHlC1efnXquF7bhYrgeeg2s7YFt4jjOIhLftwQCgaeIaBo6uQ79PTNMIJJNcHRoiOzJCd2yMZrXCoqJydn7+jW4aG5ubPN7YoKzrSKKAhzBQoUqDgsg3r/78LSTQBwd5crkiojjY5afTCTKZNNNTU0yeOMH/5d/8GxAlBEFAFBjsqGybtY0NZt5AhsLhMGazTc7L8PCmzOpyH0tv4XkSngHGkYKomMiiyrm3f8jMzMsP6V6vhxMI4DMMgoEAtm3zeGsLyR/g/AsPX0EQEQIBbL+fdGGXt//oAo8frdNs2bRaLe6vrKBEIojb2+C4FAUIyAoh1yHW63F5YTCQ9+jmTdx+H6/bRcsOIWkaZr9P7ZWK3urTp1QEEadW48TQEG1AME2mpk5QLj+kWk2ysbHJyZOzL/1eKpUiuLWFKYr4Ox0W5+df8nnOpNN43qCqVzg8pN5sgAdeX+fKyAj1RoPczi7JoSGkZhNBkrh++fI/CkcOz/P46NYtlGyWgG2zVywyMz39Gz10er0enqbhM4wvfKDbjkO728X0+3G8Cj/9yVsIgsDtlX1Us41d6xNMHnDjVo5Hj3q4bhhB6AFtbLsBNHnnvRiZ0zPo9RoXzpzhxt274HnMTUVZXS2Ry51gf/8O77575fm1mJqc5KN799A8jz+6epVP7t/HtO2XgnnCoRBeuUy/WMKXzWCXy1jp9MBHutej7vPRarUwHAefqmL1epjNJsLoKIetFrFQGKnTod9u48RiaIqKLunkbJsPHzwg6HlMjY8jqRbo4qB9LYqDaW7HQXNdspEIHUXBNM03PsSerK/jhcOvbWwNx8FtNEi+MhD7RTh76hSfPH6M7HnMf0c6XoJlWSwtL3NqYeGlwadYLMaVmVkelcssr63x9pUrCILA2cVFbqyscHd9neToGK7fj9xo8M65cwQCAUaGh1nf2uLj9XUMw0AQj0m0onDU77N2dMTZyUkOWi2Gj4dcX0Sn0+Hf/upXNKNRBFXlzs9/zuXJSea/wEZTlmUU16XzrPrnysSCMu6QiH0gsba+we6ehajEiQYDtDoWlt1lLAv/+//mPyE0mkUM+Ah1e6iqQs3vRyqVebC7w8dbW2iJJKY1hCCrtCsyj25KOOEG770zxMbODmIqRdyy8CkBtoCSJFNcX0dut+nZNv5UinIuh3xcPd7P7bPVbCGEwwSrVahWcWIxRNNCVGXcYICdeu2NJDkdjVL7rgL9RtjHVft8Pk+uWKTnOFiuS0eWMRSFimURlSTChkFKkjg7M0M8HkeSpN96XdB1nWAohGoYfHbnDk3TpBMKUQmHUU2TZr2BioemKPhFiZOaRhuoSRInBeGNcfT5QoH/4Re/IKdp6LU6rueC7eA5g0rzs2rzc9JsmTi6jtPtoVo280NZFhYXOTE+zn4shmnbNFSV0UaDn5w5+0birOs6N+/eZaleZ9cwaKgKsuYbEHQPBFFCdD2+iavot45Adzpdel2VQCCNacHaWpcnTwqoqoKqKojeHHotguzzYQ6B6bq4nke90yZfKAADUhCJRDg4yPPpp2s8Wg1S9ixaazKSKKOqGQzzCBcbwRuI6k+eept0OkAi8Q830FGxyOr2NqG5kyj5wWt/ducOgZERIt0uiUQCx3HY2t6m4rrIiQSJfp/hZJJAIMD1ty9QqVR4tLGBP5UiAZw8ffrXHn8mHsdrNui1Wsz5/OQlib7jYLzQ6tvZ2aEiSVjlMu9eukSlUsU7noAVBIErV87xs79/wO5OlOHhLqHQP0hbbNvGVBXEWo0Ln5Mc9Gw3PjE+zsQrEbGJRIJRXef2w4cET5wgEI+ztr7+jR/K8jyPX968iZjNEu8NfIorqRS/+Owzvnft2lfeADRbLYLxOGNfYI7vAa4socfjGPk8P7r+FqqqcufefXyBOVrNJ4jiGMsPP+HDD/M4dhABCYQG0AeqDA93ufL+RUzL5O1jbWUiGmW902HacXjnnfM8fbpJozHMhx/eZWFhhPHxcRRFQfI8+seVFs3zCGSzlMtl4rHYc+If1DQsUcBqtzAEAbFSgXQKzbTQolEera8jxeMEJAnP8zh76hS/3NvDiEZJdjukNY1qpYwxPoamKgiiQM/2sEyTrqax3unQVj0QRURFRRQlTFdH8TzCgQDhUIie63B0dMT0sRXgMxiGQV8UkVstwuHw86/3ej2ESIRgr8dXRTAYZDabpeB5z91kvsMA/X4fMZHg6cYGF8+97DOeiMcJbm/Tj8e5/+ABly9dIhwOMxGLUQoGsZtNrs/Pv+Y48Gc/+QmHtRrLlQqerOCKx1IOUWJfhhm/n1gqyWf37vHeW28hSRKu67K2vs6NjQ2K8QSi348giLRiMdRKhWw6/YXhK9FgEMkf4ODgAMuCtmeRKeyiOxZr1Q71RhRNjaFpCuV2F9fuMDrscPLqZQ4O9lmMDzN+9iwAf3f7NoGAn7FoFByHXjWBMBImFC/iCg2abopidZTHj7e5dm2e1WKRcr/P+wsLnJyZIXdwwH6lhR4MYQcCCOUyPkHC9Gl8ePMmTiiE0G5zNpNhMxAgLMl0bBvXsZEtAUeS8aIxNjY2mJube+k4BwKTby+eSbhM0+Tx46c0my6GAbrtsrURJnHOws7aiJKE0WyS1jTCwKSqsm9ZzOo6PVFg2XbYyeUQdndJ9npMxOOcO35ef9Xng+u67ObzHKoqPddFsW0ExyHR7ZJqNrEdh//knXc4KBRYKxS4H/RTUVVisky4VmMzHCJ6PJPyjMh7nsfHN2/ytNlEjMXwbOeYNA8qza5tY1smrmEOZBq9HpJhMJxIMHXtGqeCQc6ePk1X13lYLtHXNELdLu+l00yePfvGQtD6xga/evyYXVGk6TiImkby8hWsVotu7gDRc/FEkXQy/o2Uw33rCPTCwhyTk/pgiA6AANVqjXa7Q7ncRA3pGKqHJMk4ooANOJqGFYtR0zRkUWR974C9J2W2lgPs7GaxHZnwKQhFRWRcLCuNZcVAKIJgkUwGOXvmErOzA4eCo2KRte1tlGwWMRiktbaOGwzy0Wef4SUSqJUKZ69cee4fHJ+eJu73k3vyhJ7r0j2WWtRqNVb295H9PkY07UtJHGYmJ/nlzg69TgfPsfFpGm0EDmqDgcNut8va0RES8O6FC8eyDg9HgFK1yiKDD/u77y3wy19uc/OzZX78R9eev/7G5iahZIrU5+jpvgyeWd6tb2yw227TCAQI7u8/lw580+B5Hp/cvo2cyRDt9Z4PDC4tL1NJpfjZnTv80VfUw5bKZQiGiLxA6l6FZVncefQIpqcRtrd5/+pVSqUye3tH7ORjhGMdul0JzxP49BMP0wgDMggeAiYebULBFn/5L75H6uQsoXb7efLemVOnKHzyCQ+LJS4KAufPn6ZQOGRpSWB728a295icnGA4kaApSei6ztXLlwdJi8PDfHr7NlcvXCAUClFaXgZB4NzoGA8ODjAtC7VSQUilMSsVxEyGcCRCWFHYr9bo9nrIiQRBUWQ4lWI8FqPYbmGYFqHjQULd87C7Hb5/4QL5w0N+treDkEg8P8eO7YBjIwoC2UyGtUeP6DvOawS60+mQGBnFOTp86euO62LJMgsT4/wmmJmepnjnDvuSROYNQ3DfVgSDQXqrqyjZDMtPnnDmhQ3/M7/wX9y6xYEk4dy7RyjgZ35untL9+9ih0HOnl2c/L4rioJhw7hyN27fJ631E6R+kHIYocGdriz++cAHf3Bz3Hj5kcX6ej+/c4anj0E2lEX0DeYJjGLjdLrudNvaXCHJamJ/n081NDDyajg76Kucvnca2bf6n//lDqk2VZDqEgEhH1/HsFokJgVIhzwdnz70UhKI5Dobfz4nhEfplP140SHyoh9g1QATPX2I89hDHHuKzuzWC4SZMTfDJ48eEJAlVFLly7jy1ep388abW9DyE0THY32cqEGDueMNSrVQQbQvPlnFtG1lRsEyTZjhMvlR6I4EGvpUSjnq9wc8/LHL3joqgtohEptC7+4iCy8mTIj/8gUskGkAUPcKhEMMvuFncffiQlKZxaXiYsbExOp0OhaMjnhYK5B2HXd3gZ599xoQgMKaqzE5MkE6nv/A54bou/+HGDaqpJGdqdU5kMiTjcRLH6ZgfPX5MMZHg/7uxiSkNWu1nu10ORZET3S7vv/8+H966xQNNw7x/n3eP37PneXR0nX6ng09RBjIN28YxTRzrWKLR7+N0e4yGw2Ticb53/TqxWIwnuo4RDPLw8JBuKITiwblejycBP0OZzPOu8zMYhsGnd+5wu1SiJAyGBeVgEDUcxqpU0CJRzEBt8DkWRS6dP/+5wUF/SHzrCDQMCNqLet9nlaflJ0+QWyWI9fHFTfwiYBi4xSKGYWBNTbG2scFaPszK32VwLAlJEgj4QTVs7FCHbrGFZbWAEKrWIjvk4/13z/DWW4M461/dvIkvm0UIBtGaTS6dOoWmaTx5+pS9YBC51+fKqVNUqlWW1tfxJ5MENI16rYZf05CiUVxF4e6DB/QA1edjIhZjZGTkyx27phHz++n2elimiU9VEWSJsmHQbDa5vbqK4Hm8d/Hi80qPd/yHFz7YoVCI2Vkfa2sBHjxY4uLFs1iWxWGrjdto8NaxBvY3hSAIzM/Noe3usgVs5nLfSAL9jDy76TTxF8gzwNkzZ1hafkItkeDvb3zKhZNzL0VQ/zpUOx28dpvAiTcfs2VZfHb3LurMDO3dXT64cIEHD1Y5Oozi848zcV6ku7/F1n6G2zefkC/0AeX4aWiA10ZTK/zkp4vETk4hVCpcfMEZBuD9y5f52fIya8Ui2UyGkZFhkskEn372kIY0wY3btxkfGaFomhwVi8zOzPDO1avcvHuX9MmT3Hn4kKsXLqCKIpYkEQ6HSQkC7tgYQqmEWa0SyGTwRcL0HJed5WXUcJhDyyIdDGI4DtVOh0wkgl0qYnR7RFJJFFmmLwg86vVxHj5E8DysYBDxOLQFGBADx0VTFFRVRXQcjDfooI9Kg0rJmVfkWU9WVtBCQfyaj98U5xYXubu9zfLuLt9Ppb515ONNkCSJC2fPsrS9TcUw6Ha7L7lJSJLEwsQEd3o92rE4jmnw8+OBal8ywa1iicDREaIgYHa7+Bjc0p7ncf7UKXK3b2OrFvIxiRZkmUZf5/79+0xEo1iKyu6NGxz4fHSCQSRFxnWcATnodLBrNeR+/0sfT0CS2C+XUU9Pky2V8Pv9uK7LvVv7CNIskUCMvulgWF1Er8vpKZnrp0+/RgZG0mkKQLVwRFRZoD9aRXYTCIYxOELFJhp1WTihsHXUZT89ypCskEinqTXqDM3McLdQIAhUul2ksTEito1q22TSaSZeWDtPnTrF+J071JoNLNPAHwiA51FrNjnIZKhUq6SS/5A8JwDZkRGerK5y9gs6nP/UEA6HOHO6xvycQzI5hK43mJhY/FJ65qauI/f7zwffQ6EQc7OzzM0OZI+7+/sUSiWOTJNH/T539vYIP11jxu8j6vNx7vTpgSTthXXj6fo6y+UKTizGZUFk/jgzYnNnh4/X1ykEAsQnJtB1neR9VGU/AACAAElEQVTREfMjI0xevYokSfz1xx+zFY9xsljkR9evI926xU1RpPPpp7xz7hzBYJBuu43dbGJKEp7r4BgGjm7gdLrENYXJeJL58xe4fOECo2NjRMJhGo0GR48fkw+F0CWJE/U6sUCAmq5jDQ/zb2/fJp5KYQkCHAdSVbtdtkURY3gY1XURVBU5EEAwdJxolPD580TPnEHAY7HV5r/6y7/8ylHlXwe+lQT68+C6LpbrIEgiIgJ4DETzQLnZ5PbePjnDoOdISFIEnyIgKw6O06WVb+HQwTabKEqL4WGHM5cWGJ0a4cqpBR6urODLZvECAaRGg8vz8y89OPq6jiaJhONxbi4toYZC+KNRjGqVTjKFFAxCr0e616Pa6yLNzqJ1ukT7/S9NnmEw6Ceax5GZnQ6RSARRlhFiMR7t7OCPxzkRDL7UJi0cHeEfHX2NACwszFEs3qFYHCQNNptNIkPZl+zzflucOHGC5U8+AVn+3CGwPxQ8z+PG7dt46QzRXveNVnVnz5xmaXmZztg4KwcHX6rC0O/3cWQZ3+d42FqWxad37xCfPUm/00HxAvyHv93DtESSySKu36FlzWP2TvNw9//HUaeEQBhPEBGwwOshCFV+8IMTnL52EV3XuXDcSn4Rfr+f6VCIPQ8+uXOHD65dQ9M03rl+ngcrK0RPnWLr6IhIOs3R2hqzMzPIssz1K1dY39zEC4X45P4DpoeHqHgejUaDdCrF03weXzaLfXiIVyhga1PUXJegKKKMjEC1Snv1KfHFU5QkiYWZGf5+YwOz1cTLZlBlBUOSWS2X2TZMRFFAiA9afO1KBfO4+iiZJpFjojIUi9FRVQzDeOkeKtbrmEDklc1Zz7bpVmskF39zwhAKBokDrUSCJ6urnPmKWup/qggEAozF4xx5HncfP+Z7L0i9LMtis1Yj5LqERQm3UWcyGsX1PBp7+2jDw3QLBSRRRBVFdNdDd2xsz8PWNCZGRwctaFlC9DzCuo4oSuy4DiHDoChKVAN+ZL8PUZRwLBu338dutbCqVbxKlZOzM290Jni1AivLMt1KBd/iIoZpEj5ez5eXn9BqRZDUOLGIj2bXxnG6zE7A6VNjb6ykBXw+rBro1iLZ0QfsR4IIus4zSw7dMugaBtv5PML0NOFKBUMSqRsGQctGOTxEbrVgehodkBSFjM9HT5JYOzigVK4xPzdDKBRCEATSkQhepYJjOwjHgSq2ZSGqKvd2drgqCM+tGycmJrizs0PoGxhk8fuGLMssLEx/5d9zHId9y2IxGv3cn5mcmGDyeN3pdrvsHRxQFUU2u13agsDN27dJ6zrD4TDTo6MclkrshyMIAiwKAo1Oh3935w51nw+92yUhisy024zIMo+7XVRR5OQLhYF3z5zh7x894pe1Ov88EuF7b72FcPs2jyMRzAcPmEmn2c/l0AsFnONNpNXtIOoG/8W//JcERZFUNIosy9T6PWobG/QMg5rfj66pzJVK7CgyJJOUYjFKnseiqrI2Mc6O43IqEqba19loNrBUFc9xkAwDNRzGbDRpbm1hd7vY7TaqZXNhbJSRsTFaI6M8efqUS6+4l30T8M1hI98AuK6LYdn4GExZm5ZJt9NGTyZxNY1ut4MkSUSzLs6ITq9k0e22sO02ntdElltMzcD5s1neffctLNuiKMs8yuUgEEBuNrm4uPia28XW9jZ6NIpWKtHzagTn5pB1nd7+PkxM0DB17L19Li8usr27ixgIYe3sYsCA+C4tceY44OKLkEqlGAqHKff7tJpNMskkkizTAMxwmDHbfi24RLcsgqqK/gYfRlWVabcNJElidXsbKRTi8pdof35ZCIJAWFFgbIz1zU0WvyGuBs/Iszw9jby/z4UXWnevYlCJXoZolF/cvMkP3/71Ud6NRoNIKsWIorz2Pcuy+PjOHaREgtLSFh13BM/IEE3W8JQWbjhMOJtFL5d4eviUtrJGaDpMsweO7uDRQxDqXL2S4q13LyElE8zD57bHTp86RenGDexUip3dXerNJnVdJzo0RHljk0gmjerz0XH/4d6QZZnFhQVyBwfsCQLbxSKxkRHW9vbwpdOIkkSwXqcOBIeHsQURQQR1aordbpd0qYTk0zAqFRzPw6dpZOJxmpKEHQwyPzbO9vYWxXYLvVJGkhVEaRBS5EgSZquFpCjEdf25hWA0HKZj25RKpefBHIZhoIsiquO8RKpt28Y4Dij4bXH+7Fl+cfMmRZ+PoVcqe99mDA0NsXf3LoGhoZekHI+Wl/EiUUZNg3K5BIrKUDb73L7x7oMHhNNp4pb92gAzwHIsxv/7Zz+j3GgiBoMIjoMry1g+P6uiiOfzIQYDgIBjGNi9Hk6jgVkpIzcaXJqa5trly6/ZRe7u7pIvFnn32rWXvi4IAobrkpWV524IpXKNXMXE74+iKjKtfgvX7hCPlZif//Ebz8fRUYVyfpxIYIMToxEKHrj9PvLx/2F7LlYigTMyQqtQYE7TqBoGeqWCPDtLvlpDSiXpra1xcXiY3U6HdqWCEQggZ7KYpQQff1zF7yuBUEN0NTRFHbhNHUd6C6JIcWeH5IkTPNzc5IfHHalgMIhu6ATEb/4g9zcFnudREwTiX1J2EAwGWZyfB+B9YG9/n3y5zLZt80SW+fnuHmIwwIxlIrou922bjm0z5HlcUBRG5+ZectTY/OgjWq88r5PJJItDQ/xH0+TfbW3hCgKmqhIJh1lRFPKeh+7z4+o6RvEIz/VwDR1Zkqn5/TiSSMu0wLLQRJHI0BA1WUbY3mZEVSl7LuVIFNN18RyHEFDVdcLlKiOpJHd2dukKAl63C70eUjCI5fdjmCaO3scyDJxKhXFF4dLiKX76k58gyzJ//fHHbGbSZPJ5xr5hTlzfEehXIEiDqeVGtcrh1ib1dgeCQWRBRJVERNfFNFu4sTqdXRHPaaOqbYZOiFx86ySZVJjTU5Os7+4ixmMIgQBWr8d75869MW7TcRyeFgqIQFBVUcJh7PV1nFiM1uQUWr1G0jC4eO0ayysrtCUJp9Xkg6tX0XWdu0+eIE5N8fHduyxOTZHJZH798QkCiUgEt9mk02pxQpJQNJWW59Hr9Ui9oZptuy5BQaDzBgLd7Zh4HtTrddR0GrnZ/J3H54qAoGkY1erXei98Hp6RZ3V6GmN7m4tvqN6+imckuqYo/OzWLX543FZ7E8rVKgQCxN8wxNTtdvFGRpBdmY4ZJjAcIhJro/gS1PM9Eo6DYppUW3UeHT5E8GuoIZfo6SbtdRG722J8zOXd758jeuoU1t4+J9+6+rnvu91uE/b5ONR1ljWN4YAfn24QdxyuXLzA9s4OhcIh2sQ4n9y8ybXLl1GOif/42BiObVOJxaiIEr54HK3b5eKZM2jHtlgbm5sUcvtI2Syblk1YlgmpKh1VpV8u4w+HsbpdtGgEJRpF9PnxhcN4oojdamIcHSHJCpIy+CPKMpIsIykK8gv3YSqVYuXxY/q2/ZxAt1ottFSKyVeug67rhLNZEl/B//nX4a2zZ7m9vcPy+jrf/5zB2m8bJEni+tWr/OLmTXo+H71ej0ajQdvnwzk6YvHdd1h+8gQhk+Hp+jpvHYc9XLl4kY9u36Yry6Qajdc+I1NTU5wbH+eTzU1sWcYThOdSDl0UkGwbxXawXQ+n3caq1TAPD4mYJpcXFvizf/Znr3W5bt25A4kk9itOFJZloQ0NYbgu+d09FhZP4bouO4d5wh90OHG2zVhGZ/9/OkTu1Ti1GH/jRvXp+jp7VYFUokRiIstqM4dQLuNY1qCtLQyeE0dAxjC4mEgQi0ap5HJokoS9v4+czRJuNDh79Sq2bbOztoYkCGiigFfIk0lbRPwWxaMelu2n1Jul54wSC4aJjIYQWnnseh7d1YkAbjLBjTt3eOfqYG1QBRH3Gxhk8U1FqVLBdzzE/JvgxMQEJyYmSG5s8KjRQMIj02jQURTUcJhRw2B+ZuaNThoAaZ+PA0WhXq8Tj8dxHIe7jx/zxDSZ6PU4PTSEIAgD//R+n3KjwVY0iptMIB7rn/FcIvMLKKEQVUEgrWrIkkTHssg7DoVel44kIWUzLJkWtgARWcYnCIQcB0kQMAyDQr9LN6/TMXRAQFAUxPggoMrY2sJstbEdm0QiTuzyZUbTaax2m/vLyySjUa6fOsXHOzv8XeGQ/20s9nxO55uA7wj0C/A8j55p4ZRKOIIAgoisyKjiMXHudul02hidHq7cwx93GM5EuPrDK4yNpfAMg74ks6/rOH4/wb6O08mjZrM0Go3XCPSzIcHk9DRCu02/2yUtCJQEgV4ggLG7w8joKG6/z8NHjxBSKbyDAz54axBioigK33vrLe7cv09wZIT1ep2DQoFLFy782uPMJJNo+TydZgM8D0VRERSFo0KB4OzrVR3H8/B6vZd8LZ8fgychig65fB5bVl6y3vtdXRPDcXCq1W+MkXqxVEJPpTC2t7l29izBL7lInj1zhlgux5NikQ/v3PlcEl1ut3GaTfyv+NZubG2x3mjQSKUIaSLaTJ+Oz8Wt1dA6HWJ+PwKwsr3Dzz/+GEuWEWQZz/OQIx3CMz3CNvzlj94hMj5Gc3eX658jK1hfX6dUr0MkTGJ8nOjBAZYs0z464gdvv/1chjI7M8POjRtERkYwh4f55O5d3rtyBc/zePzkCR1RQA4EiQsCrVqNiy8QSEEQmDt5klnX5Wc3bxKensZ2XcyhLJog4nW7+JJJ8rkcJcNCVRSCgQANXafbbKAXi/R3dhGfE2gZUVGQZBnZ56c3OUG5XGZ0dBRN01AdB/MFHXS5WsXs98m8cs97gOk4xH9N+/WrIBgMEnMdutnsa4Nz32aIosjp6WmelkrcefgQ3fOQAgHevXQRgMVTp/j4wQOkVyRPFxcWeHp0xIP19edV0mcIBoP82U9+wt5//9+z2eshyBKuIeIeb64c08BrDtwF3G4XfX+fiViM04uL/PGPfvQSebYsi6UnTzD9AfytJlNjYzx89AjH82j1etjhMGI2i+R5uJZJIBCgVC6zlNvDl02QXYgghRokf7SOlt5jYfF1iVe73Wa72yUatzmRCFILhRg7c4bb/+Fv8Rz3OPJbRJAVmr0eXr/P2LGrj7P8BC2VpFutQKHA2StXUBRlYBva7yOfmMTptFmcyT4vrJw+7fHhr35FNdEhMzNKNjtEI+9S2Q9jlIYIOluc+9MzPF5ZgVSKg4MDxsbGEE0TXVG/lYOEvwme7OzgGsZvFfx1/9EjNgMBFNvmL06eJHVMlv+fP/85gizz9hss4Z7hzPw8yxsbWLbFQT7P3c1NasEgZ1SV8xcuvKYn9jwP7e5d9iYnKdcbdFdX8IDo6dP0d3epiyJLPh+S6+JKIq4gIgkCEgKqJDEZDdAURdK2zYgs45Nlmu0WN9fWBp1rURoQ85Af2R/A8Vz0bg9SKYRqjXkBfjQ3z8jICMVajV1Z5n67jSIISKUSCTx8IyP8+3v3+LPLlz83hfPrxncE+gWUymV6nvfcnutF4txvtzG6XexeD7HXJ6OqnP3xFPHsEKlTJ/G6Xbqug1MqI/v9vHs8HFgul9nrdtkvFBgefjmMZW9/HzubJerz0SqXUUyTgqoghsMohQJRSaJzcEBgbAxPFOnkcrx79epLi7woirx1+TKVSoWlgwOUEyf41a1bXHrDoMozJGIxZM+l3+thmQZBn5+6LGNbgxTAV4m+43mUdnffqN2VpCCS1KYlCPhN43d+Y9u2jZpIoHveN0L/XCyVuFsoELAsrp0586XJ8zOMj4+DILBSLPLRgwcsjo8z9MJgoa7ruLKMatvPyfX+/j5Pczlcvx+fKJLWNA4Ng5FwkIgkEY1GaTsObaBj23x67y5dx0Y8XiQ928bt63h6i7/4F/+CkZkZyrrOuCi+ZN0GcOf+fXRFQQuFsDUNpdVGUVTev3CB5ZUVcvE49x8+5Mpx5DKAKAg0Dg8Zy2QQslk+uncfwaehhYJQrjCdzmDbNm4sRrlSea1qUiyVSIyOElVUjiwTs1hETCSQ02lKpkXZtrH8PkLBAKFAgEatitFooh8eYTebg+AUaSDfECUR2R/AdzKFEAqzsb393J0mFY3S0jR0XScUCnFQrSLCa+fg0coKXij0Rh3sb4qL58/zi88+o+TzUalUnj8Mv+0YGhoiVyhgDA/j8zxShvF8/RFFkaTPRz8YZHdvj8njDWUkEkHe2iKQzvDZ3bu8/UoUcTAY5L3Ll2ndvk1FNwauHLo+2Fz5fNidDkaxiGLbXDq1yHQqiRyNcuPePd4+vq+frq1RabXwz86S1XwUcznyhoEci9KoVFH9fqREAm9zk74oEDlem7a2tugqClo4TCQepVgqY+k9ZkYCjA6/7MTSbrf56MkTAqrKhdkZfD4fj5aWsGIx5G4PS5HxXA9BERGCfuqHBS7/yU+erwvj2QxVTUNRhpHLpeedH4CwplEXBeRKhcwLrhr3HjzgdrtNNx4jO5kiGoVObwe1toOb3+eDi4Pnhut5dJtNxi5ePL4WAp7vmzfE9U2E53mU+31G3yDB+zJot9vcWVmhlkwSLJX4ySs2qBcyGX6p6+Ty+eca6jch6PdzZ22dkqri1zTeiURYeMVh5UXouk7xV79CHhsncvUqveVlRATCs7NMTEwQDoYRxH+wvBMEAc/z6FsWB60GYc1PPxxm1TQHzh2ihDY2hmwYiIKAq+s4tkN/f59+rYbg95Oen8fMpIk7LqYgYNs2l86e5RKDAuP6xgb73S4NWabpeVSTSe6vrPD+1c/vmn6d+MMzkm8QCpUKrqKgxaJkojEqW1s0q1XMbher28Xr95iIJ5gZG2N+ZoZUOs369jbdnW0i2SyhcASl3mDkOFENQcDv89E5PESIhF96cBqGweNSCV8qSXtzE92yEBIJqNc5Nz+Pm83y5OgQpdejUSwiWdbzyvOrEASBdDrNB/E465ubuOk0tzY3yaoqc7OzrxGB2dlZtF/8go7ex+j2CPl8iIpM3wDzlUER0zRBVZFt+41JQN2uR2YkihBVGff95o4Fn4fNrS0SqRSVWg3DMF7Tj3+dKJZK3CkU8JnmgDz/hpuF8bExkokEHz16xHq1iud5DA8NAVCt1QilUozKMvv7+6zlcmiZLJrfz0QiQTwW42ajwUIkQlJV2a9UMCwLVwCfYfLw6VPquj4gz4Iw8O/UdexWm6vz8wxlMlQAn+PQTsT5xa1bXJyfJxaLcXh4SOdYAhL3+XjrlU7G2dOnOfz0U8qBIIVC4fnwqnBsQzQ7M0M+n6eLh9DvM53JMHJysGA7jsPunds8ajZ5LxR6fh2LxSJ7lSp6t4Pr5PGmp4lPTdFvt5ECfiQEnpTLyNEIgVAInyzT7XSQTZN//t6/YHpkhkbzEZ/du0uu2UKJhIlMTyOHI7RMg2K9juu6iKJIPBbDsCwq1QqWbSPH48TeMBjVM03sWu0rB6h8EaaGhykrCk/W1/kgmfxWVfJarRb3NjYICAIBTWNudvZ5FWwok2HTcTArFaZe8cw+vbjIxw/us2tazwk0wKWLF7lz/z52OsWde/e4+soMwuzMDMmVFSqNxsDuzvNw9D6ebWOUS6iVKldPnWJ8fh6zUmZYUelmM9ze2MBxXXzZDLos4+XzOIAf8AkQ0TSuXr6Mbdt89Pgxts9HOBJBa7fxPI+DoyOODINsLIqiaLSbTexuH79hPJcOPTsfN1dXCcUTnMukScTjdLtdbM9DEgRGVI0928LzPCR/AKfXx1BVHi0t8d477wCDUKrdgwN8kQgLMy93URzXBc8j+YKW+6hY5MbODqVYjEQ2SywWp1Qo0Dw8pF/IcS6h8d47V2k0GtjhMMF2m1arxePVVcRMGqVa+1bds78pHMehFQhw6TfYJLfabf5maQk1GmWkXuftN8zLLJ48ycrtO9zY2GT8OAL7Vfh8PqxqlVW/n8lejz9/++3PdbEoFov84vZt7hWPKNfrOOUyvlOnCL/9NmosRmf5MaVshnowhCCKyJIMAoO/h8P0DQPXMjF1g05fQRTFQRS3IILex6rWcGwbAgHsXp/22jpar8e5ExMDoozAk16PJ+EQm+0WoVu3GJZlLp0+zcL8PHMnT/KLm5/R0XXOtNs8kWXUhw+59gWd9q8D3xHoYxiGQaPbRUylkFWNoeFReu02pZ0d3Ead8WSK0ZERTpw9y4gsI+zsoB8csBgK4nU6SKaJaTsInou2v48eDFIdHqZRLiEkE4jZYR4e5LB2dnA9l74nEBgeRs0fYMdiiLZN2nFYuHr1eSXBv7cHyRQjkQheqfSFFdhnw1u7e3vsmCbS1BS3HjxgbnLyNfu0sXSaJ50O3V6XUCiEpChUez28V3R+pmkSS6XplYrYkoT5SpqX47h0HAvxsMrw70HfeVSv4zUaBIaH2d7d5eIfaBK3WCzy8PAQTTd4++xvTp6fIRAI8L3z5/l4aYm14wVyeGiIWr2O7feznsshp9PIfj9Rvc/pc+eQZZlGo0Ff11EKBZSTs7iHh6TicfLdHo8si8rQMNnxceqrq5it1oA8dzqo0Qjm3Dyb/T7jlkVEljFabQDu7+7iMwwW5+f5wRfs7N+/dImPlpZ4uLXF0NDQwGYJeHbXjI6OvtGPXJIkJkdGqUoi65ubnDtzBtd1Wd3aAr+ft86epdvr8UmpRDGRJGqZmM0+TrmMjoccDBEKBpFcj36vRyCWYjwZx26FyAyd5ep7PuqPl1BiUSS/HyUYQDcHISmWZaFpGslEgrWlJVqWxWIgCKpK9JUNWbfbhXCYYLf7O7+HJicnKd67h5BOUa1Wv1VVaL/fT1RVqVkWlt/PLzY20FyXgG3TMHSSEycITk1x59Gjl1w5BEEg6fNTFEQ6nc5LXbWrly7xi1u30OJxGo3GS8EnH928SUEUic7MMD4xQbfdprC7S+/wkIRh8r3rb/NHf/RjNre2KCWTVBs1xkdG2e+UcVQVp95kTlGY+RxJmizLnBkd5UGhgB0Okz2uxu2WywjBAMlMBsux6LZbOL0eC6MjzwcTW60Wt58+xQuGCLRbJOYHm8zC4SGh8XF6rRZhTcUzdQiFwTTAcTF9Pqrt1vP3EAgE6NTr9Dod/C84AB0cHGCGQoQsk/rxfWxZFn9/5zZ7gQChbJbM0DCdVpNaIU+/UGBGVvjTH/6QSCTCw6UlPEni7MICd1dWiE5N4R4ccPWVSv8/dTTqdbY+/hgpkyE9Nsbol5RjVKpVdMsk8BVt124/eMCG4xAQBN4fGvrcgWOfz8eZRJwP+/03VqG3tre5dXRE6MQE7s4uJ1MpVtfXcT0Pl4Et4bO/V2o1NkoltptNuoaBHPDj1hvoKyv4z5zBjMexmi1atTpSqTxwQRUEJJ8P/8QEVj6PZxqIokS/1UI4ToIVAEQRwXGwG3XM7sDb3223mQ34uXDhPH/84x8/5zRvA4eHhyxtbbHn97Hm9/PLWzc5oWpohkFnZISRYpE/+eADPrz5GRuCgPro0R+MDzzDdwT6GNVqFSUcQlTV40EkCc/nI+Dz8eM//hMcXef66dPcWl3lwHWZWVhAFEWe5HJIokhEVSEbw1FV7FyOqCwjVyo8+wgcLC8hBAL4bJv49BRGt0fXp6GcmMTY3eHauXOvSS5OTk3xYHeXrmVxZfzLBzpMnjjBUDbL8soKgYkJtlstev0+E+PjSJKE3+9H8zxcy6Jeq5EaGUWSFRxVY3V9/bVBRI9BVSQzPk69Xn9Oxuv1BoovjJoQmAmmf+fViWKxiByLkZVlGq47qKr8AVAsFnl4dITb7/PesV/m7wKBQID3z57ls+VlllyXWq1Gud2GTAZNUQjV65w9Js7PsPz0KbHRUab8fg72c0x0OrRdl2qnw6bj4B8ZJj08gj8cJnfjBka1iuB6xM6coezTqBsGNctiQlFIex4/OA6sKakqa0dHiFtbXL18mb29PXK5Hp7X5vTp2eeWVn6/n/FQiL1QiF/duskH164jCeB9iWs/OjrK7p072KqKruusrK6SmpvDOjggEAjg9/sRV1epx2LIxTKOLNGq1WhbNn6/n2AkTq3boVeqEMinqJ8aQhsSyZdShJIKaqGAIwg4rosnDTR32+XyS9fRchwUz+Pp1hbh0RGS4ZfdFlzXRdI05r6kX/dXxen5ee7t7LC+u/utItCKonDpeNi2UChQ6napdrvo2SxePIbd64MkoYyMsPxkhTOn/6H6v3jqFL31dZafPuX6KyTu0sICdzY2uN9o8sPjYdidnV222m3cQICh4RECwRCH+/tYzSYJF/70gw947733AJg7eZKjzz7DDIdot9tI0ShBSSQpSsxM/3r7smw2S+boiO1eF3+zif7kCTuNOko8QSSeoNPqYHb7+B2bkePPD8Cjp0/xjY2RaDZZfOF4Ng4PEWdnSaTTJGZnELe28QwD8ECSMB2HWqeHc2xv2Wq1iI6Po4ki/X6fYDCI4zhsHhwQHh2llcthaRq9Xo8bt2+zbFhI41nSw8M4lkUxt0/v8BChUOD7P/oRJ4/dk4qdLn5NYWltDSWTxsnlng9xftsgVqpEHy9hCC4PAyEYHoaJCVLj44x9zjP5yfY2Idt5LWX387C5tcVWuUxnbIzA/j5TkQgHR0fsHx4+f6Y6nke51YJAABHwJIl0NstfVyoMVyt4HjiCgO44dCWJViJO3HGoDw1x3+dDFUVCijIwK5BlOs0m+UaDJwcH6K3WYL5JFInMzeMBtbv3sXd3URcX4fp1upKEuL+PaBio2SGUoSEaS0vYlQqh+Xl6+/u4ug7Hbi4CIEgSgijimiZ2u4Pk83FpcZEx2yYVi/FodXVwjgUB1/MQBYFUNIq/1yPWbJIbGWHVtPDrfbJAx3EQBIEfXn+bn332GWuhMDx+/Fqi6deJ7wj0MVzPo9LpIMQTgyEMBEzTRJNlwkNDRDsdotEoCU2j5/fjCwRIp1Ks7O0heB5nz53j09u38c2epOM4XHulFRk/OmLfttEUmfp+DikUot9u4/kDDCcSb9QrJxIJWF1FiMdptduvWSv9Ovh8Pq5cukShUGCt1eIokyF/rBeUJIlULIZQrdJptQYLsiwjBAKUO53XBkW6vR5+4NUw+kqlQjA7Qrf4kOF3frvglDdh5+AAV5aZmZvj727eJP0GF5PfNyzL4unREYLj8MHvkDw/QyAQ4O0zZ7i9vIy7ME+2GSa3vo5veJiT09Ov2as1HIdAv08okcTM59HjcYLbO/SrFWLz8/hSaWzLRDdN1EQCs1RCSiSwLQun10MURXZ9Gge2zWlJwrlxg0tnzsDREUe1Glo2y0e3bzM7OookddH7KR4+bCOKm5w9O0MymeT04iKlGzdwslnyhQKuBw48f7B/HiRJYnp8nFy7zd3Hj7F8PtTtbS6cPs3q2hr7rRbp+XmajkPq7Bka9TrF7W2cYAA14AdFpt+oYzVqTPlHyBgRetEWsyMB9K0hUoKfI8HA0TQMz0NMJKh0uvyH+/cJuS6BoSEEUeTk6ChLu7sYB3lCV192nanWatiGgfob6he/CIIgYDkO32Y16cjICCMjIxQKBZZrNZzDI+RggEKxiBEK0QmHKD16hN+yiQT8nDhxArNeJzo1xc7uLlOTk89fKxqNMhmPU5ZEPrt7lzPz8/zizm2ObJtwMkkimaRUyNMql6Hd5szsLO8cSyCe4dqlS3z68CHFVAqfbZMWpdcSKz8PF8+do3LjBruRCOLuLiXDxBeOEIpE2NvbwzZ0hiWZ8eOuzJ0HDzBiccKFwkvkOZfLIQ0PYzabNDodoicmYfUptm2jhMMInocnCHQlkV6vRzgcZnVzA90DKRJlrVAglUrR7/fxj4zQPThgdmKCfcfh5t273Ot0sLMZsiMj+FSN3PYWncMjvGKR92dneee46r++sYESDYNlo42MQj7/ras8P0MsHufif/O/4yCXo3Z4iNvtIhXyiP/hbzicnubfTUySEUUmk0lS0SgnJiae65+zX1JqePfBAw7icQqainRwgE9WeGoYg8F5b+ABntI0BM9DCAQG1eNOBwEY7nbJAcOGQUxR2Mej5/Mz2W4PzAhKZcJjY2i6Qatexwr4GZqcxPY8DvJ5NtbX0U0TRAFBEBE1Df/4ON3dHbRYBFlS8Eo1nHYX6ewcwZlpQsk0oi+IUatiVasIgOa6tHM5bNseyDYEBkT6mEx7ts1EIkF2dpZAKETPNFnv9ZFFAct18QDb85CPLSFFQUAUROLVGqqmkej2ifX6FI4LaIIg8OO33+avPv6YO6LIyVc6U18nviPQz+B59KxBrKmmabiug2XomIZOq3jEmbmBR+O506f5+N59lqpVfnDcYvH7fEiSxNT4OCW9jx0K0m63kWWZre1tmt0OpiQTOnEC07RQ0mn0fJ7Ls7M83thgS5YZa7VeI8iu6+IhkIzFWF9ZZXRk5CtXeUdGRkin09x7+BAhkeCjBw84OznJuTNn+Nn6Os1qjUfLy1gBP1I4xJ6i8umdO7x79epA2wqYhknK58PzeJlEC+BmWgzVQr/znPp+v48py0i6PiBlnjdYUL5mSJJEXJYJhsO/t8nfQCDAW2fOcGdpCfVYHy3KrxPRvf19YlNTtHZ2SM3N8cPUO3x26xZ/palIIyNcarfRd3ZYFgQ6R0X6B7mBHZFtYzSbSK6LJIq44TBuIMCS67Cn+Xhy6xZnQiEunj7N4dER+8BOq4mqwNWzGR49ekq/n+bu3TaStM/4eJC3zp/nxqNHrPg0fIKArAyCbr7Ii3xsdJTDe/cIzJ3kaPUps+Pj3F5ZQUok8Hse/e1tRmdnqe3s0JFE1g0TJRxGC4WJSjKHzSZCr0d8RKe11mBs5JBmNks0PExKDnJULyM6DqJh4BsawrZtIukUViBI7uiIyRMnWMrlcDMZ5ErlNVnU1sEBluuS/D35NR/k8/iCQWbeYFH4bYLjODzd28OVZX546R9STw8PD9kzTQJDQ3SrNeqaRmF3l1A8gRsIsL+z8xKBhoHeuX7/PnYyyS9u3GCt10ONxRgeHaXfaVM+OMBqNDiZTPK99957ba16tqb6PY+Mqr6kVf4iCILAj65f59/ducOGKNIVRcYTcQRBpN1qYXe7xEJB6rrOjUeP6MTj2AcHBBMJlldWBi/iCjTabbzxCUZliS1JGmxGbRtXUZ4XNARJpNDvs761xdTEBG40hq9Ww6rXMI/P6d2lJUJDQyyePEkwGGSzUOBxs0nB5xvonuMJKoU8rcND+rkcZ30+/vxP//T58RTqdbSZGQKWhXVw8K2tPL+IsVeqzbZts7K6yhnDIG+a3Go2cGo1tN1d0p5HMxpl8ku87q0HDzhIJnELBf6L+XkSv8ZV4/PQ/OgjdlSNdDCAPxBgvlrj2jvvIB8Hj/0vH3+MX1H4z957D8uy+Oizz3hcr7NeKOC4LoI4iPpGFAeWjEdHYNlEFk+Tnp7GCcdIyCpoAqV4grFGg5lag2pH4+jcv6CmHjEb83HKtpEMg/srK9Ta7cH8jeviuS6iZXHhyhX6hkG61eLH7777pY/vo5u3KByHIr349BcEgXcWF/nZxgb/9u5d/uLq1T+Ivd13BPoYhcNDXFFClGVURcVyXGzdwB8KIff15+RJVVVOpFNUJIm19XXgHzjl+NgYuzdvok1OcnN1lWA0iur3o7daqK5Fp1xGSKUIl4q8ff06kiShqSr39ve5u7zM969ff2lx73a7aPEY9adP0Yay5A4OvnRb6EUoisL1q1ep1Wo8qFbZaLXo53JgGPSqFRwBtJERCASoaSo3TRPh2AO0WCwO7MGOK2cvxnkXazXq1Hj/9yDmzxcKyJrGuWOLMfm4PfV1QxRFzn0NtmOBQIDvXbvGr27exJmYQH6DXCV3dET49Gm6xw/83MEBv9rZoZxJEx4eYSsSRnv0mBObm6jVKqaq0lA1Su02guviSjKC3sfpdnEjERx/mLKokm9l2dUUdpornEopXFtY4NHTNUinuPfkCSPZJMNDaZaXn2IYUcrlMHt7G4SiKtVojISi4JPlQcfmC3R/ruti2DZ9w0QOBtnqdrE8jzHXxYvHaYgi9c1NrEyGeL9Ps1FHyWaJRaJIjkOnUSMNzIUdij2DswsL/HJtjUYgQToeh/ImuC6ubeOZJp7nki+WGAL+2YULbG5tkZEkDms19FeivR3HQfc81N9jYESuUkHWNJLfEEvGPxTuPXhA8NQp2Nx8ac0bGhpi+/ZtjGyW8UgYn8/HfqdNvdXCkkT6o6P8zf37RF2XaDA48IgXBOZnZ7m1tMQaYPn8ZFIpAn4/26ur9Ot1AqbFxbm515yQALZ3d4mMjBI19K9Enp9BkiSuT03x4ePHaJk0iUwGy7Xpdzu43S4zU1MYpons99N1XOKpFFXLwvY8XAfMioYpTFHIuRxoYMphMjUZfzCLLvYQ/H7kYBAXKMoy/2unQ+bOHaZmZsj6fHR1HcPzyBcKBMbG0FotUlNT9Pt9WtUq2z7fQPecHaLdqFM+OKCXzzMjifzFn/zJ88LN+voGZjaLV6mgtNvfkefPgSzLnHvF+79weMhWPk/5uGPgfsEMxaf37rGSSOBWa/znX5E8G4bB0tOn7OsGbiaL0evib7XwWRaH6RT/y61bzIfDDKfTxGSZqm1TKBS4u7TEg3KZg9ZARy9qGqLPhxQIoEYjCLKK6roMnzlDyHHIGAa+XotaMMyRFQTPQemG2MuNkQj0GaNEakTmRLvN9sgIhhOh/AsfcnAfSSviOhZuv082niA7NMS+JMFXlmF6qJk0/YM8wVeKM+lUij8C/s3KE37+4AE/vnjxa7e3+92WDf8R47BUBJ+GIMvIsoJhWzimiWjbzL4i0p+amqJ3eEiuXscD+obBzTt3+NmNGyipFHq/j5BK49brjPr9/PD6dTwG0b5SvUGz+w+eyvF4nPlkEjca4bM7d3BfuME2t7cJBoOcPnmS3tER67n9l77/VZFIJPjelSvI9Tqtbg+918dqNjHKZaxWC7PVwjEN6qrKZ67Lx7duU6nVCEej6KZJ33HY2tvDdV06nQ5mMIjqeb9Tu69nyJfLGO022vFrK4KA+A2wsft944Pr1xHyeTqKwt3lZZzjTUO73UaIxYgpCrIg0Ov1+Hc3b5KLRPAlU0TjcRqtNiuiyF1RZFgQ+Muf/pS//Od/zg/OniVimjiNOpbrYtY6dHYt6st+WpsuolSiq1T4aDfCX60q/PWv7jGcTAx+RxTph8M8fvKE+fkZPvhgFs1XwPBpHEqzBI0hWj4/h/n8l7oPjo6OkIaHkRUVMTqJUm9wemyMo1qNpqKgV6vMDQ1hmiZHjQZOIIAvESMdjtDW++jNJjFF4cKFMyiKxf3762R9PkRZwpeOIzrOYBDW87D6fUS/n9JBnncvXSIYDHL+3DkuX7jAyUSCQDrN7fv3gYE++vHKE3zZIYZjvxv/51fR7XZxNI2Epv3OOzb/mNDr9ehpGs21NaLZIba2t59/TxAE3nnrLVqFAmvH2vhL58/zo7ffZjEWI2Ga+E0DQxAox2IchkLsOw63lpY4PDqi2O0SHsoyNDREpVikVS7jNBqcGRvjgw8+eO28m6ZJvlZHEwUOK5VBG/o3wNHREY1SGUXzEY/HaTdbWD0dybJZHB/ne1eu8O7p04i1KlHD4IMzZ/jh2bP8+MJZvv/OGHZ4G9+IztCIx2LUxhbW0UbjpC9d5K0f/JDpmRk8w8Dq9yl2Ojzx+/mPpRL/a6nEI8OgY5o8zeVoF4ucnJnBdV1+9dln3CwW8WcyZIZHBrrn/X16R0eEWy3ePXP2pVChnUYdSRQZFcXvyPNXxMjwMO9fucJfvvUWU5UKjz2PR0+efO7Pb5gmkqpyUu9/KfKs6zqra2t89uAB//ODh2woMoppcNIyudjrUXRd3p+eZrLVIug4bEkyn1UqmKKIOJTlF6urfNKoU9E0AuPjRBYWCE5N4R8bwz88TGtllf6HP+d9z+MHgsA/Hx1lPplCNf3Yj4I4yylSboj+uA/ftTrqQhl3wU/caPGjt9/mL6em6Ny+jaQ2MesX6Bz8JUb1HVw9yeToGNPT0ziKQuArSuOmRkfpWoNkWPUNa2YqleKDZIpONsudJ8tf+3WX/tW/+lf/6mv/X7+BeLC0RAHQUimymQyWaVDa2yPR6fCD69exLIvlBw+QVJVQKESn2USdmMBRVYLZLC7g6TphQUBoNHDjMRKex8z0NIIgsHtwALJMu92CSJiDrS3Gh4cRRZFIOExhewdGRmjkcs99gTd2dkAUGU2lCPt8NAH6/Tcm1H1ZiKLIUDbLLz/5hINGA1HTcHUDKRAY2DwJ4iC1S1Mp2TYhn49ANosRjZKJRvElk6wsL1MplZCHh3HbLWZ+x/Gau3t7OOEwseP3CoOJ6I5tM/2GpMR/atg7OED1+VCiUXa2tkhHo4PwFlWldqw1e/L0KXccB21kZFDx0nUquRy9QgGjUiH9zjuEVQ1B1ZhYXGQ4FMKp6dSsJL1CEsd0UQL7qP4jJKmHpFj4Ux26iGxV42xX+qCXmUrHaZVKSLEYhXKZ8tERzYAfUeiRpY7eKNJzTfrxOPWNDQI+3xurAI7jsLG5yWqzie334+7tIVUFTKtPxeohhcNonQ7XLl0iGo1yVC7z8eoq/WQSfzzBiUyWYrVMaWODK2fO0K6amE0Dw4wSDHYRxBFss03ucBtbHMR6e66LHA7jtNucHxt7ye85GomwubVFJxxmY2eHkmXTEwS8WpVLp0//XjzHHy0vY6sq186c+Vbbgd15+BAxEmExkyG/v0fXdRlOJp+fc0EQ8MsyFcuiVakwcmzxGAgE2FpfJxCNcTKbpbC1RTwex2foGILAo2IRx+8ne+IEommS29ykVyoypmr8p//snxF/A1G5cecOciSC0u0SmTzB7tOnjP0Ga8zaxga31p6iuy6JeJxivkCrVMSxbUTD4Pz0NJqmsVkoEJJERoaGB7IMQWBnd5ftSBjVcUlXygjxGHdrZcxUknMnFxiORNhvNuk0GljNFq5lIcoSjmHQVxSqssyRJFFTVSzdoJbb5yCX4367TSMaIzoyTCQQpLC7QzufRzo85N2JCd5/5x00TRtY6q2tIU5O4cvt/0GHsv6xQxAEToyOUt7aZkOWUWq1lyK2n+HRwQGaYfDezMwbE4qfod/vc295mduHh1QzGTqSjFKrMuR5uK5L2/PQFYVKOEzh4ICiYdAXBHyaSjkQZN11Kdo2R5KEddwrd3pd9GIJo1RC8vnoPnnCiGHwp++8w8TkJPutFmv9Pu1ghMaOTDxaJxEtII/ECPW6THWbuJbFQTiMEAzyYPUp5WqdJ0/zWG4BLb6FpJbwTA2j+UNi4RRnzgbYaur84MzC86LYr4Prumxtb9Pp9dhyHMxOh6QsM/dKuBgM7BzrGxtsKipuqfR8vfga8N/90y/pfQlYlkWr18Pz+xEVBU1WaLdbiJbJbCaDoihUKxVCtRqFoyN2MhmaioJkWdiBAOLODqdPniR5bFJu2zZ/c+sWhiBw6lmL2PPQfD5Uy0JtteioKh/eusW5mRmGhoa4euECHz9aomuGSeQOGB8fA78fvdEguLiI3+/n6e4u+6bJyPDwF7bKfx10XafRHUzF+oaHMSpV7E4bV9dxLRvP81BjMdrBII9dl8uVMmq5QmN4mFA2S3rxNC3HRvU8HOl3fwvlj44wZJlzLyzk0UiEYqWCZVkvBQb8U4QHuK0WIUBIpbi1toZnWTiA4Djg83NTLyJls0RTSfA8aoUC/VIJI59n/MoV9PFxVmo1PpD8VHcPCc98wOXU97kiNLhx62853H2KaUjYgoZrGs9lHXJIRx1qUenF+LvdLLlmnz+/lKbb7yCPj1Hu9VFzOX507Rryccrh4dERH+s64twcm7UaTzc3WZidJX384Dg8PGTt4ADGx9Hrdc4YBvHpadb2i7jhMyi9Lc6NjLw0A+BVq/R8PgRVJRgIoEgizVYL2bbJOA6S3gBhlHYzjD9SRo7Z+DoN4gE/Pd0Az8M7rka7oRAr62t0ul36uk6518MAguk0uuchShJJ0+DM4iKapv3eyG0HoN3+VpPnQqFAU1EY7ffJzswMIrxVlc3tbU6/MHg9PDzMUamEEY3yZGWFYDCIZZrgDRLJ1g5yJGZmqFomUr3B02qVjqaRGRslqmrsbW/TrdUImBZXL597o7VitVpFTCQQGg0Wzp3js4cP8UWjr9nlfRnMzc6S/fBDlotF7v3sZzi2hWNZKKEw99tt/uqXv+C//LM/H3y2XxBz5g4OuJ3Ps55K8ZNEgrph8IuVFeygn4XJKTIBPw/398hvbtLd2cWslFGiURDB6+lIfh+y308nEKTnOBwKAstAzHWpaRrxTIpINErx6Ijm4RH9gwMuBgL85Mc/JhKJ0Gq1+NXKCicWFynmcpz+NUEb3+HLQRRF/vjt6/wPt27xSNeZ6fdfIsnrm5v0EwmSxSKapnHzzh2O+n1qloUqSXieN7CZ8zxaHvQnxugCYr2O7Hk4iQSmZSH7fAQEAd3vx+86PAmFmNA0VMBUVahWaW9uokxOoqgqmixh6B6CJONJEsrkCcz9HGdiMSYWTlEUBSqWhU8UmQSEapHouRj7ZYuKpLDdbhEJhTBFETkUwms1UYNxjjInOdBbhP7oGlqnB7KJXu0gWH5UJUxqOMGD4iGd9gi/Wl1DtU08USATjqAqCgKDYJZCuUxPFKlbFh4C2vAQvW4XJxYjnkxy7g0bERhsWr53/TrOZ5+x7PcT295m9ksOAf+2+K4CzYBQLm1vU1NV/Mkkw6k0lXoN9/CIP3vrLSLhMD6/HyWbZf/ggDHHodProfT7tB0H2zBIBgLPCYAoini6Tj8QwG9ZhMNhcvk8gUwGURQYCgZJ+nxYfj/lWhNNgFgsRiIYYHfToFSsEQi6dCWRoVCIRCKBIAhoskxflqkVCs+DN34TrK2vc2t5GTsQwDUtlFgUx7Awq1U8x0EQJeRwCA8PSxAptloETQNVlhFVhb3dXSxVpep5+GUZq1olHo//ToiBaZrsV6uotv2Sv2W9XkeKx7Ff8Xv9p4j9fB7Tcbi0uEivVIJEAnF0FKFUpGua3KlWaUWjxIaGCAQCVPOHtPMFupsbpFIp0lPTyD6Nrj/A5oGBr51B7WyiCQW0jI+p84ssjo/TOCzQbbdxbAccB9c0B7phx0Lxm/gSOuWeQqWkYSVkIoqAv1jknRfSMAVBoNPtIvt82IKAXSwihcPUdZ3dnR129/cpAsmpKexOh2HPI51Os5LPI4YDCHUPvd5kcXHy+fG3223WDg9Z6fXwfD7GxsZRJZnNjXWUTofFsXF+fO0S2azD1lYdf2CRtiGjmg2atRwlwxjYUR4Pxzg+Hz5FRYpE6dgObr9HQlUZDYUIWxaW5kPQe0ydOPF7I7d7e3t0FIWkLL9mE/ltQbfXY6lQQDBMLp5aQJZlIpEI6ysrtByHsVTqpSHUTDrNQS5HLxzCBNqmieL3g2Vh6wZeuYxu29QKBdZsi0Amy2giRata4XBvD7da4+zIMP/pX/zFa8Otpmly6/FjbF3nncuX0TSNWDBI07LY29lh7Njj/MsiHA4TVlVu3b5Fp9XGMc3BAC9gCxI12yLteZiiSEAUiUciPH7yhC1gKxxGOU4YvbW1RUtVOXnyJDPROEuFA3bX1uhsb9N++hS330fUNJxuD7Naxe33cXQdT+/j6Tqe4+BIEn1JRpRlNFVFEkUq+Tzd3V1mPI/3L15kZnqaVqvFJ6ur+BRlsO43GiwcW9l9h98OoiiSlWUeNRp49ToTx9r7TqfDr7a3ceJxgqZBo3DIr+p1tkIh/PPz+MZPwPAwwsgI0ugY0tAQjqYxGouTCEeJRyKkYnEy8QSpeIJwNEowEKQhSkiihBQKEUskcYMh6p02XTzMSgVXEOgdHeI5Lr5YjMD4BEFVZWx6Gv/pRdxIhJnsEOTzWILAbq9HKxTiaauF6HnIhkFPEBhWFNKVGqW+gPjAJPepxv6vApQ+/ZTG8iadPR/90gmUuA9fymVu3CGiF7ANh0Z3lLHzcVqxGFuaxpYost3vs9Nqsd/rsW5bNBIJ+uEwyXSKsUCAVLtNt9kk5ThEfT4CgcDndgcnx8a4sbWF12px8g2V6t8D/rvvCDSDCvRHD+7Tj0QIptKkozGKlTJarcalyUmCwYGrxr0nTyCbpa3rZLpdnHYbvywj+f10JJGDrW2y6TSSJJGIx9nN5ahVqpwYGyOXzxMcHkIRJTTbZnpqCs112d3rUClaBAMO6XSKXi9PtztCrb6PFg2QDYfZ2d1ld3+fRCzGYS5HXxTJxmK/cSV2eXmZx3t7iNEoTqeDIEmIiopcr2EDaiyG1engOh6CLONoGm1VJdioMyrJXF9YQM/laAoCvnCYqmOzsbKKTxQJhUK/FQlZXVtDiEYYDoWfV0iWVlbIN5sIskwmFPqDWdZ8Xdg9OMB0XWbGxshmsxQ2N2kAmt/PTrPFtiAQHhoinkzSKJdp5g/o7u4g1eukxsdxNY2eLIGsoCVDdIQiGc1jNB5jPBwmd3hIb3SUsUyGiydPUise0Wq28Fx3ULU9Tpby8DD8fRL+DqMquKqCYdnE/T4CL1RUOp0OdV3H2NmhJUlMh8PUymWYmsJIJZlKpRBsB+vgANM0KZkmjq5zcfIEqtSlWBTxvNpz54ub9++zoutslUr4h4aYHJug0++R31hnLhAklkgwHg4RjUapVDbBk2nqJXr1ccKRAFvFXSSfPJgw9zw8D7I+jUupFBdPnmR2YoKxkRFisRjpVIrd9XXMQICU3/9bdXZ+Hda3t6l3u7x9/vy3sgLtOA53HjxAiMfJiuLzYT7x2OaKaJTW0dFL7W5RFJE8l3K9ier3ETJNzs/N0Tw6QoxEcHs99GCQx40mjs/HUCKBKkvsbWzQK5dJ4/G/+fM/f6N0Y2NzEy+VYsTnex4t7/f7qR8eEpqYYHd1lbGvKE0bGx2lW66yurmFK4gIkoTnOoiCQF+UqLdbLIyO0unr5I4OqY2O0lVVZOCEZZFfXmYrEGR2YZ65eIrV4hFbq6u0t7YI1+v89PvfR2i3aYsi/cLhoGOo6zjdHk6vi9Pv4/b7eP1B4qIHGKZJt93C7HSIFkv80blzvPP22+znctzd2SGgKCQUhXq/z4XZ2V8rJ/gOXw2RcBihWmVJFFFqNbLpNLcePsScmSEmivQQOGq22Oy0iSaT+EMh+qaJadsYloVhWxiigKcbuI4z+LdlYdo2um2jWyaWbeNYFn3XRfRcGr0eqihhWCYtQ6dbKOD0eviSSexqDafXQ45GCTgW2XSGqM+HWanQb7dptTsYPh8tv5/Q5BQKoHY7JFWVZDRKTY6gN4PkuhEOcn52PzlBuxlDUlT84008aRh9P4Rd/Qx9+w7hTpHpbILW6ChdR6O9GiERy+MeHpBuNJixLC5Ho/zx4iLTfj/Tsky4WiXcamFVq5SLRSrxOJVEglYwSFUQ2N7cIC7LL8nxnuHh0hKHus6PTp0iGAh8HZf4OwINsL29ze3NLbxUikgqRSIc5vDwkHinw9nJSer1Ovc3N/FFIowFApy/eBExlaJcrZKq1+m7HqZpogxl2dzYRGXgT3qwt4cYj5MOBjksFlFjMRpr6ywuLCBJEsFgkGhQoJDvcnhoEArZzM5Ok8+v0OjPI4tH9NpNxEwGz+ejYejYtoM/leJwd5exz7G128/l+OjOHZ5u72D2+/g07Xl0sud53Lh9m516Hem4koHn4h8Z5vz167iaRm17G7vTHgxjyTKCImPJCi1JRqvXUQWBUrVKcihLL19AqdXo+TTKisLu06f4RPEreVY/g+d5LG9tIgoiVrfLys4OVdel3e+jui4jwSAnXhno/KeIrVwOwfOYPXEC27Z5ureH0O2y3++z7Hlo8RiJVJpuq0XtIEcvl2PIcUgODdNWlIGriuPgFwR8PgU1GqWlqAhALZ8nAnRUFcnz0CNRFk6fxpEl9otFsB04rpR1PA+pUuFqYp6RkERCFjFVla1ajf39ffYLBbYLeY6OEw3PTk6yXyrRVFV8iQRGLkek2eLg6JCeYaCpGqHhYaxKhYunThGJRIhEwmxubtFuO8zMDHPvwQOMkWHu37lDy+cjPDTESDpDsXREdWubH8yfJHviBOW1NcZGR+n1OuTzNr54h0zSj9Ov8WRNxRU1JJ+JIHrgedDr8ZNr194o0YiGQlT6Ogf7e8/nEn6X6Pf77DYaxAThN9LX/lPAwcEBvUQc8yDP1YsXX/peJBJh4+lT5GgUybJe0tCHw2E016VSreL4A7TLJU6dOsXuzg49UeBusUzN0IkFg6TTafJ7e9TzB0jNFtdOnuTatWsvXW/TNNnP5ditVnGbTc4tLr50vaPHFXHT9Rj/ilVoQRAYzmZplEtsHuQRlMEmznMdBEmijoAYDhGdnqYTi+G028SPDgm32mxVqjhPnxJ47z3mUxk2q2U2Vp7Q3tkh02zykwsXOH3tGtPDw8Rik0T0MXxSm26nidXv4ZoWnq7j9Po43Q5ur4vb7eIaBrZhIrou35tfIOX3oes6e4aB6jicn5xk/fAQyfM4PTv7pY/1O3w5DGUylLa22BAlgt0OO7JMIhzmoNclX6+zcXSIGgoxFI3h6TrVw0N6jTq9ep1+r0fPMDAqZfRWm367hdHronc76J0uRrdLv9/D1Pvo/T4918XVDbp6H8+08BwXUZZQQqFBzoMgoIRCxIeHueT3M9HvMy3L/PGZM1wZHuZcJsOZdJoRx8HY2sJsNvFGx1iTZPbcEHudPl1bpB81sJcShFQf8XmL2DsNoskInfxjPHMNLWQiB12uXD+DFItgRaNkLY+KK9EnRyscQs1mB+mg7Q6rh4cUbJtuLEZB12lLEpaqEgyFUBoNgoDdaDDZ6xGVJMZHRl4rdHS7XT4tFkl6Hhfn57+uy/sdgYZBNWKz1cJNJEhkhwj5/OQPcgQrZQKSRFtVsDsdLs/Pkz1uv/oDAUanp6mLIsVeF9vnQ2q1UUNx8nsO3c4RmWQCXZI42t0FPCLBEML6OqMv2KIFg0GiUYF8vko+bxGNekxPj7O+uwHeOPETQbq5fc5PT2O3O3TabWzXw0rE2d3ZYX9vj2athiLL+P1+tnd2+LvlZXYch4okstXpsJPPU8nnEVyXUDDIhzdu0BTFQbXRttASCWRVZWh2loVgEOfoiFKtjus44A0ShWRNIzk+QSMYwnIcvHQaWVYIhsM49TrfO3eOyvY24tAQJUFg48kKRqdDPBb7Qm9gGFSoDo+OaPn9uKKIraq4pkkUeOvMGWYnJ39v3rzfNOwcHAAwPT5OpVql5/fTrNf5rFZFTCaIZYdwLYtqLkfv8Aix1+OH77/PeCpFt1DA7nQQHWfw8BYEREUBVUEQRcbGxnBkmZZl4SuXifV7RDMZjg6POCyVMDQfdjKBo2lIrRZDsswHP/whdjqJGA0jei6SINJXFax4gmgiAbUqCVVl//AQJR6nqSioh4f88No1RkdG2NnfJzh5AkwTuV7n0vnzzzd0giDQbJYxjBSdzgHtoJ+QIHDjzj0Mv8bJhQWqrSaF/X1inQ7vnztPbXcXKRwmFQiQz5cwTQ01rCP7RCaHFfYrKzQ6ARxzGElrI8oDu6EhWWbkDTZmfr+fdqVMU9OQ+v03Vix/G2xsbqJks2i6/q2VbzxeXUWORDiZSr02ZPqsCt1TFMxG47Whq3A4zEgqxdb6OnY4TPXgAMMwKPj8LOUP0Hw+piYm6DSbHO7uYpRKXJmc5NTc3CCqeHubnVyO7UKB/XIZZWgIw7J5a2H+tQexLMtEQiG6osDe5hZDmQyHhQKBYPBLkelwOIxfVdnd3aXcbiPJx11C10WQZUq2SSydZrjb5a14HAW4tbPDmt/HWHaI6dOnyTdbrK6u0NrdxX90xJ9dvMjc7Cx9RaFn24ScPiOJKc5f+xETGZW0pmH3eriWhd7r4lkWrm4MyHSnjVursZBMcvrMaXRZxolG6e/vc+HkSSqVCmI6TQLeOOz2HX47CILAzNgYT3b3eHAgMDE3SlnvUW23ye3tYdbrxKJRVEliZ3WVRi5Hu1Si32oSGB0bdBhcF8t1sG0bU9fRO50Bie526ZXLdCsVekeH9D0P6+iIhqHTX1+js79Pr1Cgs7dHY3mZ9toaTr+PLYpUAgFoNnG7EtubZTY2iuzsH7K5v8/TowNKgQCHPj81y0SUJBo3Y/R6ImE3gBz3CEx0CE73iZ21UCICYlgkcCpNcD5L6Mw40fNzVFJZXE0iallIboSjzRanMn2yrkuk1yMgCMQkkZgoErQsfO02H8zPc2V8nPPDw5zKZDh94gS1vT0MQeCnly8zNTHxxi7h8soKzWiUhRc6Sl8DvhsihIGvou55KLKEKsvYjo1jGCTHRhHSaajVePfSpdcunCAIzM7Pkxke5tbSEk4mg1Uqg6dSq01xeLRJZGEUJ5XCajTwul2EN0ygptMpfvCDIB9+uMzDhyKnFg2GToZp1EIcru7xztUFAoEAszMzzB4P3txeXwdBQAz4UYeHWa9U0dfX2cvl2G80EFUVwedD0DT6qsoRsLK1xcjeHsVOFykUwm63kEMhBFVFwcPneZyOxXjnX/5L/u//4//IcrmM4XkgCkRTKRRJpGEarNRqnK0I9GSJ9Nw8/WiEXq/H+9euUS6XWdrcJHFqgY4g8IulZQKWyfz09POhshfRaDRY3dig57pIySSiqiKXy0yOjTHyLa2IeC8Exmzt7OCNjnK/2cSJx4knEoieR73RwOz3kV2X773zNuPHaZhSrcaj/RytZvO5QbkH+KNRqorMTrNJrFYjFQ5jpjPIzQZOp8N2r4ebmEZSBKKyAZaJCcyeOkXeapDwhemJCp1mi2C/z1wySSF/QOL0aTaDIQxBQI5FUZtNYrZN1+9nc2uLYrVKbPYknd19rs6dJBwOv1YBvnDhLD//+T2M0DkE+4Di6i5638aoVKmur1PvdGjVakSlgU97VBAwRYHl1VVqdQ2PCqogYGoW2WwWv6CjhHYRtQSC6AAyhjCwKfs8nDl1iqMbN9hxbJLNJtHo787K7rBeR293+OmVy3/oW+sPhsWTJ3naabOdz79xEzExPk7u7l2EdJpSqfTaz8iyzPeuX+fTW7ew5+awej02PvsMWRSJJJJIokjp4ACjViPp8zN99iz9Z2ttMIjY7aIg4No2iiSidtoEPqfNG4/F8BUKSGNjbO/sIOztc29nh2sffPCljvXypUv8ZH+fyn/8jzQME0nU8EwDu9PBDPpZefqU0+k0ibk5/urmTZZ9PoYmJ0mPTpBrNgZkYHcXd2+X780v8KMf/IBbS0sk4nHUcJghSSI2E+BBrUUsHuef//hH7O/vs72zw3Yux8rWFs1+n16/h6hpzA4PczqVolkoMJdIUN7e5srp00SjUR5vbCA5DtPf0o3d1wFRFJlTVXYOT1J/alMcNtCOjhD9fgLRKLFYjHq5TK9Ww6rVED0P7fRp9KNDGg8fDZZxz8N9ZtGJwGAJFcAbhGMZjoNUqyOPjSEVDukKAlI+j+s4A2mPYSJpKq6uo+/vIwkCG6Oj5Hp+Ir0TGKqBEDEQIl0EJYMgCciChCaJ+BSV4HsOFDzETBfPJ+A4Ho16j8OVNgI2ZqWJqPeIqi5jAYGQeA1JM3j3gsb4+Dg/+9ljRjw/f3T16vPiyZdFQFFInDhBoVBg8pUQpcGp8VhrNBDabRbee+9rvbb/6An0YaGAIIoMfcWhOs/z2Nvfp9lqUex0sAQBTVbQFAXjWAMaSw2jtlqc/QLdYiQS4Udvv81BPs9mwI8UEqG9TceegD2BmFak59ns6zqBUOiNDwi/3897781x40aFjZ0a2myaUOkxljfDwwdrfO/7bz1/D4FAgKDj4ERjxF2HpCAgigIHrktfALvXg34fOh0EVUX0+bB8PnRVpWhZdCwT0R1UKLWREXqHh5yPRIhIgzZPPB7n//Bf/9f8n//1v2aj2cTy+dD6fYxSmeL+HooH0XQKWRDJ53KoisLjp0/53ttvk06neT8WY3Nri1anQ2pmBklR2KxUeLK5yeTwMOPj4+zt77N7XLGMnTiB1u0Sy2TYf/yYt69f/1bqRJ/h2bHbts1Rp8OjB/cpOC4+T8CzbOqVKp16HfPwkEs+HxkEFufn8fl8/PGPfoT5t3/Lo4MD+o0m3rGCAUHAF41SEEXqnQ5/MjTEw3wea2iItd1dKo6NYDv0l3ygHqEIBaZSUS5Go7ilEm44Qm1pCUFV6YyOIvh8aKpKtdEgNDFOV9dxcrnB50iS6Lku5WiMkewQkixh2tbnynokSUINehy2IOueQBEDhIRblJsNNh49BgZa/H4wiG5ZBDQNs1bHjMWwdIMhn0owHGDDNIlGIowmk2wd5BAlHUGQwXWxgEa3i+u6n1tJvLK4yIPDQx4/fcr71679zq6nqWlkRPFb7f0cCoVob27i2vYbI98lSWIim6XkOKxvb7+RZPf7fSxJonN4yMPHj2m6LpFslkA4RDE/iOv2myaXZmeZjkafv4YgCKiqimVZfProEd1iiQtnzvza93tyZoZbS0uYwSCuALFSidz+PuNfQkImiiI/+eM/5uCozv/nxq8QZQlPFHH0Hk6nS7nd5leWxcZf/zW3JYnY5CTnxsZpGn2erK3R2N3F3t3le2PjfP+996g3GviObfv88TgTExOUymWGUn6s5DT3Hj3k+pWrzM3NYZomu7u7bG5tUWs2UeVBjHhbUfBJEulUipljh4JOp4MQjSA2WiRfcED5Dr9beJ7Hvt7jzFs1PvubOKPvuGwWS0jZDLFUCse2qZWKmK0W46rK3NmzlCcmGN3ZIXDmDKIoDiK8PRfPHSTyPVtLDMOgKorUBIEJx6E2M0tEEFjy+ZgNBckd5Nnf3EBAANvG7nbAtBBcbxCKNjKC7txBi0TwRcIoikzIHyDiDxBQVQTPo9doUGk3sNtQ2qqiDGmouok/ISMUayhbJS7MjSKHZIaGYtSqUWzT4Z23RGZmBj7jvZ5HwB96nmvwVXDu9Gn+encX93P0+RtbW5jxOFd9vq+dN/yjJ9AHKysMKQo3l5cJZ7NMz87ie+VEOo6DaZrs7ezQbbVoui5OwE80kaRt23h+H56iIBynELY7bbAsHMfGsAe//0W+sKIoMjE+TsDv5+HaGuLMNENIGDs9Wq0pZHWXuN/DCoV4Ui6xubfHzMQEmUzm+XuNRCJo/qe0tPO4+WU+uHKeTz5Zot5I4roukiThui7dbhfX8+i7Lv1qlfm5OVKpFIau8+mjR4MWnueCKOIZ+qDyrSiImobV6yH6fOA4KKOjWO0OzsEB2QsXyESjrK88Yfw4Tvr/+N/+t/yf/h//mh3D4Gh/H61Ww7IsANKJOULBIHv9PkKthi+bZXNzk9nZWRRF4dTCAnOOw71HD9HDEVKjowjZDNVuj52lJUSfj+zCAmG/j75p0alWOVh6zNVz577V5BnA9Tx00+T/9W//LXeLReq6jprO4AkChU4bzzRxbYeTmQyT4+NYvR66YRAMBlEUhT/76U9x//2/51G+gNFsDirax6fUF43SGx/nw8NDMoJAuVpl7+5dXE3D74EbcalvTyN7AX50PsnCwgK7+zlq9Ro/vnwZSZJYWVujatv4fT5otXBqNaJDQ/Rte+B4MTmJ2WzytNlA9WVp6TpaMsl/vHkTCRhLJgn4/YO3JAgcFYv4Jkbxdh9hCiJnz53go0ciWxUbz7GfDwNWOh3KrRZTgsBIKkUjGsUv1hkLh2l1OsiyTK/XY3RoCOnwEC2bIRAMEYxEqBQKGKpKv9//3LSqWCyGtLpKOxDgIJ//ykNkb8Le/j6CIDD+BunItwmapjEWClH1+8gdHDD5hin5yclJCnfuIKdSrxUZNre2yLXbyIEAnUKBpuOgRaMMZ4eodLu083nMep0RdZC6+ibbus3tbQKZDGHD+Nzq84vvNx0M0vX5CI+Nodo2xc1NhkdGvvBZcHRU5NGjA07M/GcsHhVZy20gSBKK34/T6+JaFsvtDluxKJnz57kyPYth2zxcX6ext4e9u8cPTkzw0x/8kEgkwu2VFUIzM+iRCGK1ijo7y87REZKqgm4gDWXJ5/NMTEygqipzc3PMzc1hGAaKovDJ7du4qsrpsbGXNrGPVp7gBEOcOfnt7PR9Xbi/tIQwPIzaKXP6usdnfyMjnBRJ+f0EVZWjXA6j2ULudLl07S1qiQRTjs2f/+mf/tp7LZfL8bBcJg5c9/mYHBvjb1dX6Y2Oke11KY6PEzl7jjM7Czy9eXMwWGrbuLaFUang9nq4to0aieDvdpiZm0OTZQTHpVmrslMuUSsW0TttrF4fd3QBnuyjSSlCpoyvaBF7exRf5ipiQ6TV7GOZHj6fyTvvOczOTlOr1bh/f5PDfJahkSOCwa/ujiGKIg3TxHtD5drzPJYKBYKiwMIr6ZBfB/7RE+jJ8+fJ7+0h1Ov4j47IFYvURJH48DA+n4/DvT2EToe0349m2Zh4EAqh9fp0uzkqpsmh5iO5cIpUJkNIUWh7LkFVRe50scfH+fj2bS4dt7y+CMlkEkUQoNnksFolPXUSfUOjWlrEFznA7zUIGSZdReFpo8Hmzj7zs9MkEnHu3L9PYm4CO+9i1wb+0d2uhKY16Pd1SqUSu0eHqIkEUihE3KdRf4Fs7h8cYIsScjCIXq0OUgtlebDTNE3sXg/bNFEyGbxIBAEw9/eI+HxkJybobW1AZCDHCIUGLgezEyfY3t5+nu6GpmE3m3jA6OgoK3fuINs2lMu0XJepqann1SVJknjr0mUajQYPHj0ifvo0eqNBOJHAMAya5TLFapXhRILFkRGi3/IqyP+fvf98kuxK0zvB31V+hWsV7qF1RGqdQEIVSnW1Yk83e5ec5XB2dmi2n2jc/2Y/rhiz3Z0hOT0kp0lWd1V1CaAApNahtXat1fUr90MEojKBRAGFqu7qAuoxS7O0SE+P69fPPec973mE4zhs7+xQ9zzul8sUCgW6+Tyu7eAHAviyjKBE8fsSCdHiajKEmkhgahq3t7YQl5cxXJnZ6VHeefNNvA8/5OnBIZbfAEHAF4RTOkf9hAri5HI0bBsR8PsWhlJBSAegNUmt8qc8fPicfhDkZoPA1BSiKHL5wgVq9TpL29tERkfRej367TZTg4PkOm2EaoXxRpMj36cWiWAIAv1SCUkQsAWBoihgmSau6xE0dNSpKXprq3zz7dcQRRHP8xjLZLifzx1zR0URPB9HFI67ZrrO7PQ0P7p9GzsYZHBujtb6OrFMhtX1ddrdLoFkCn1wiPG5eTRZptntonyBFM+bV67w/tOnLOztks1kfu1AlfX9AwKa+iufkH0VMTszQ+7JE9Zcl9GRkVdqI65dvMjt9XWKtn1aQD9fWCDfNwnICmq3y2qrhTA8RDQaI2gYrB/sYzUaxJUA1y9ffiWH3bZtDhp1lGqV66+99oWu98yZMywuL1OybYxYjOzhETtbW8z8Eq/kZ88W2d+L4bg6w2ca/LFwg86Pahx1OhipFK1CAa9n4ll97L7GZCQKnseTtVXKm5uYG5t8d3KSc7MzrOfzCL0e1sQkje1tNNdFy2bZ3tkhNTlBY2ubm9eu8v7jR2zpBoFA4KVxpqoqzxcWUIeG0EolkonE6b+1Ox38SAS5Xif5gibn9/jNot3psC3LBPN58opCxHwOcpxu/hzKZRuz06JZLuO2WtycnmJobAxzaIixo6NfOvfs7u/zwdERmqJwKRRCkCT+y8OH2AMDHKoB1EiY2aMjgkAnaDDyz/85e50OR4UCrm3j2w5YfXrdLkIkghCNUC8VqeVytGo1zFYLu9fD6/cRbBtVVUnGVW7eiuCGQc0meTOb4fbBAbtn6mRKBf7iwgV0XcN1Pfb3j/hf//192u0kvp9idDzPhQtfnpscUxQ6pvmpn29sbmLGYlwNBH4rJ3y/8wV0Op0mnU7jeR7NZpO1Bw+4LAh0njzFCyhkMxlyhkEtGCQzNERla5tiz6SkqXSjMcKJBIPhMDOqhuk4NHodhuIJ1AsXyK2sECoUsAMB7m9vMaIbzM/N/dIO6ZOHDxlWVartNn9y9So/ffSIYCKJLjRoiCEunz1LMBik2+2yuLxCqaHz6JGJKN8jMT9GY3cHNTyIaQ/x9OkiijKGIm/w85/vYMSCyIpKxHGYmpjg8cYG8sm1eJ5Ho9XCFwVkzcBQFPq1GtZJcIMriviShKCqiPEEgiTS39pCEkXUSBgbSIfC7DabPFta4s3Xjikj4WAQ4ST1CEFAkI4TsD7m6QaBJnBxdJT1ep37jx5x6+bN0/vheR79fh/X92n0+6iyhGhZqO02Z2ZnCX7O/fy6oFarcfvhQ5ZbTda7Pfr9Po7j4FoW/XoDX9Forqfp7qfw3TDSrTbyYJ+oLDOpqvQFgcNSmWpVYKEn4/s9osYw57MSz3P72CebHt/38REQQ0EO+n2OHtzHMwwU08TUNbRuh4BcZ/bsDWbnWvTdeaRgnndmJl6aoOKxGDfPn+fpwgLW8DClfJ6uKCJ2u1weHmGhVMaIJ7D392mk09yYniaTyRwLYSzr9H0Oj44oHR1xaXr69P1FUWRyeBj1+fMXout9BEFkY23tNJJ5OB7nyHXp9XoIgoAhyzi+x2G5jBgOIWsaQV2n2WzimSaC43xu3Liu64zGYuRFkXuPHvHmFyy2XoV+v48fChJ5gdP+dYaqqgyGw5RU9TO70Jqmoff75M0e87bN0soKjUgEv9ng3Ng4/+XOHarRKPrAAHIwxFGtSq/VQrJtzkyME54Y5/HKClFV5cJJYWjbNkurq2hGkBvT019I1AzH1I+5mRk+fPqUtiiRCwTw19aYmJp6ZXGztrZOPp9BEPf5w++e5cHGBhNDQ7z7rW/x1z/8IYIggg+eY+N3OliyzNMH94lNTVHa3sY8POTy1CRXv/MdvH4fu1hAF0X8/X2+ce0ajuvywcICh4ZB1DA4NzeHpmm8eekyP3/+nIWtLdInNqoAjUaDg14XrdPh3Rfm5GcLC5QsC0mRuTj7++AUOG5eVKtV0un0b3Q9ur+wAMEgHUC3LFb29hBGCvTXvkV9p4vgrGE1mwzrOudm5ygZBvrqKpfffPMzr3NzZ4f3yyUGRAmv12M5EsFrNIhKEknTRA4Gaebz/MmlS0SjUWzbxrZtdvf2uLe2xpO1NZqeh5TNIocj2N0uR12DIgKSIEAoBIqCXS4dC69DIcKpNK2AxJ/+8TfZ3N9npd9naHCQtyUJ9nbZSKfwl5YwLJntLYVmY5iBjMzEZJmbN88RCn35YBNZllEaDQ4EgRczMj/uPru+z5l33vkHGikv4yvjwiEIApqmUanXOex2cSYnaEQi5EQRwfdRNjax/uZviO3ts//Wm4Tm5hkayKAqAZrdLnv5PHt7u8j4oGpEgiGUTJZSp0Os08GzHdxoioPVdQYGkq+cQMulEs7GJlXb5vqtW6iqytjAAJs7W5gBCU+A2Wz2eEAoCsNDgwwPhdg72sAMXMQqueA2yExkkUyBfD5G39SRlSajowqjQyHOzc6QzWQIBALs5fIIrsvYyAi9Xo8PHz+mAwgnXGZRFAkHAnzz+nX8fp+eZcHYGGoijhYIkJ6dZfrNtxAGBhiOx0n4Pr1Wi44oMjV4HDW7t7fHarGIqGko4TCO54FpknRd5mdmaLdaeJEImuvSqlQQolG8dptypcLS2hr7jSaVvol34vpBs4UeixESBAZPfsfXGbVajYe3b/P8Rz/iB60WuUYLgsFjrqhp4nsevUKRXkGmuZLCaofxHIP6oY5uREikq8yPjjA0OMjk2CizMxmgQLdbotUSCekX8M0MB0cVPPoIOCBL2KKIWy7T3NjEDwQQBI4FJ66Lbg1y49I5/uB7GVYPN7CtIOMZ/VMRrJIkMZTNsvj0GX56EK1S5ualizRbLUqahlIqonseVjxOb3+f0eFhRFFEUZTTP8lEgtGRkU8dqVerVRa3t+nCcSw3x24wmqIQVQOYrTaObaNlMlR2d1EDAfrhMK3DIzbLZTqRKMF0mkwqRalUxC0WuRyPMzs9/bnfSSqZZH99HTsYRPW8V3qOfhE8XVjAMwzGE4kv/R5fNUQjEdY2Nqg2GkyejIdPIpVIULUtdjc2aGsqSkDF13Uera+zLoqIiThGOIJjWXSqNfrNJsOJBBenppgMh2nYNnIkQmF3l2gkQi6XoxlQSCL8yicBkiTRazaR4nEs10HOZNnf3WV0ZASAteVlNlZXicRiPH6cw/NEJiYFVra3IZmk3WySnZggLgjs1OuYjfppvLwgy7iiSN91sBtNZnWdNyYnMXo9Lo6PIzgOfU1jUA2czvlBWeYQ6BYKzI2NIcsygUCAfqOBGQ5zuLnJyOAgjuNwZ2kJKaBx+STLoNPpcPvhQ/xkErde5+zI6O+dN05w585jfv5elMdPltndPcAwBHq9LoLA5266Pwur6+usyDKRep1qOIxSqbBSraKmooxfCLL90wFcZws6R7wxO4sWjVDTNG5ls8RfERbmOA5/89FHPFQUkskUnu/jdrsM9Pu8MTfHuZkZtvf3yasqQijEqOsSjUSQJAlFUUinUpw/c4bhVIrq4SH13T3cYgEvn0cqFIhoGpptM9fvMxsKMRCNET97FjMW4zCRwFU1ItUKsiBwpBuEW01CwSB2tUUhN8SupGJXR0joFd58S+TWrUHm5ia+9P37GKIosntwQM22ufjCpntjc5N1UeR6JEL2tyOC/eq5cFy6do1Kuczqg4fYm5sMHxwSLZVQJAkxFkNQZG7s7vNBOMJeq0mrXqffauF0OjjtNsHeMBPpDF3XxRNF4jOzHBSLGLs54i0w3XP87GdPeOut8y8FepRKJXJPn2Lhc+Pdd08LbE3T+Ma1a7z/6BGtWIz1zU0unDsHHHdnny0ukjkzSnPnOZYn4IpjLD9uEZMb1KrzzJ9Z4eLFeYLBT3P2LM8leLIA7e3v0zhJYEM4EY45x+k977z9NvPz86zU6zRFkUfr62AYqPE4RipF13PZ2tzk1uuv4/k+JUXh8PCQ0dFRJFFEEoTjeFFZRuh0QBQxT7qIE+Pj1LZ3OGzUuXLuHPfW19mxbUKRCIFkEq/Xw7H6OJKEJsu4polUrzHxNe98OI7DztYWRx99ROtv/oaKbhA6e4YJH3azGaxmE9855v8KooRZbOO6h/h+CF/U8PpxfvR3PoOZOt++9AtxhSzLzM3NMDc3c0wJ2d5B01vgRbm9aBP3mjh6C9XzaT57hiiJKHYfUzcI1Gp0QiEunp/mxvUonW6H8FgYOxfi/fdW+KM/uvqp7p0gCLi2z+6KwZwiHI/prS2QZd6+cIEni4vEJYmSLJPP579wAXPl8mWEv/rf8JWTxMOTLm6j26VnWdQUBUmRaTeb6KaJpqqIgCXLFCwL8SS1Cl+g02widToMnTnzhX63IAjcvHyZnz19ykqnQ2Zg4HO7ltUX9AEf95u7oojXbjP0+3jkU6iqymgkQjHw2V3oQCCAXa6QPnuWw/0DJiSJjf198kA/EkbVdNpdl+ZmH/ptVCRmJycwbJuRE2rI2vY26uAgd58+PZ67BIEbX/I04eyZM3x49y5iKkmn1abjHluKybKMLMuk8nmW2jIErqDFN6kHVJRQCCGXwxZFSCQ4f+4cR6LIzzc3UQE1lUQygiBJtDe3GHFsvnvzJt946y1kWcZxHA7qdfB9bt64cXothq4jlkqYksTK6iqXLx335M6fO8fT589pZ7PcuX+fQCCAns0iF4skEgmKxSJPtrdRQiHkapV3X3/9ay1q/STm5ydoNjeo1XwKuQn+/b91CARkZGWP9ECbkRGZqanjDV8qlfzce+d5HouFApok0fM8NNNkeW8PV9OIx2IE4zap14sc/c0ZZqb3ODs/z6IkES2XGX0FldFxHH5y9y75oSESR0dkWi0unz2LMTd3WqDuHx6yE48zXChQUxTu9C1GhoZeulZFUbh8+TKTk5P87Q9+QKPbxXYcIoZBQlWpJZOE2m3+5M03EQQB0zTxgf+wukrWssiMjyNJEv18npWaid0zaVlDSIUqs9k8vdkWY57M/Pz0b7Q5JgPKJ+bg7WIR1XE499Zbv7Vx85UqoNdWVsjfv0/i+QKzhQJyQEVMJmBkBKw+XqOJc3CAcHDAjm3Rti2cVgun3cZttXD7ffabTfrdLmcvXyaYSFKzbeLZLK1ghPVDl1FFxvev8v77O4yMWFy8eB7P89h4+JAIMHL16qe6048fLzI/MsqS1acqSSwsL3Nufp67Dx9iDA/T3tvjzddvIooiuVyeJ1t96o1zdLsSjbr9yuIZjsVm6RNv5GKpdGyRJ54MMt8D1yGVTmEYBmvFIpnBQWK6zrNnz7A9D9s0sWwLPRKhsr5Ov98/jgxXFNx+H+BEAXy8AB23Kb3jounkaF3XdaxGHTkUIhwOM5VIcFQq0Wm3EQyDaCpFs1hCBkLNJte+5g4bALs7O6x+8AH+7dvY29vItsWs0cdstViKxbBPKAdOq4Xb6TA4MY7UqVDaK+C7UfCHCGhpUrEA7/2dzPTIA95999OuEbIsMzs7w+zsDG+/beP9P++y0mpgdzp4+QJOqwVKAMn1kGwbV1EIGAau5rNxsE8yEkHSdIbTVfbMUZ49W+Hq1Zf5kq7r0uoJtKNNmt0p3rtzgJuO8ubwIJFIBB9obm1hiAIrW1tfuICWZZl0NEq+1TjeDZ4ICdt9i6gkcyWbZWFlBU9V6Q8PU6xWSUgSfiSCHQigqxpGMIjlWJidNmO6/spi7bNgGAYT8TjlQIC1jY1T/mgun6fZ6eD4Hq7nY3keHqDH40iqepJ86J/yvae/Jt7lvwomx8dp5nKsHR6+kgstiiI3Ll/m/Z0dJLOH2dd5WChQSSQIhcJoukar1KTftDAPw1wYniJg6vSsAtVqjcHBQQYGBsjlcqyHQkgDAwS2t790wSgIAlcvXuTO0iKyIBKIhLn94AHv3LpFOBZjMTqA/ajG4M1F6lafUXWU1NAQhmHw6OlTavk8dLsMT04iCQJGOIzieViOg9tqMS6IfOub32IylTpdO7Z3djAyGZKW9dJ6Um80iMXjNIpF8o0GF19wlUkmEnRdF6anads27OwyOTnB+3fvoGayBHWdmYEBMpnMb3sI/KNDMpnkj/4oeSrS931YX9/mYL9HreZz/26aJ48djKyMkf6QkChwbmyMoGGQiMc/NYafLy3RUlXGHIfK5CTu02eU8dGjUeKJBOV8HlF1cNwR/uCN72J6Hj3H4Z/duvXK69vY2qI9OMiMKJEDrl248NKpVrvd5v3DI0Srz9uXLrGxs8PDWIxKpfJK+9hIJMI//Yu/wDzhFQdPfM7XNjZ4z3X5uzt3+O6tW4RCIfb29nCMIEHPo9Fus1IsUgkG0QcG0A8OmAw0ufR/OI+hT/Gzu3fZDIVQFha4dOHCb2ytlwSBriieblw3NjcpBw0uqeoXpmT9feArU0A3Gg02/st/YeaDD0gFNKS5WfB8vGoVt7mH1evS8TyaPpR7HdwnT2jJEn6vR8C2GY5ESGcy7Ha75Dc3aDebzF+8RHZ8nJZloRgq0rTPw/eazEsRYJS11Q6l4n0SCYVsJII8MvLKAmFtVaJaLyBkJRyzx2E4Qu72bVKTE7T39rh18+bpIBgaGiSXz3Po2CQyJcqVQSqVyitDRMQXBmeuWKTvuoiyDD74rovgeaQSCQ4ODwkNDlJHINBokI5F2a9UsDodzF6PQDAEiQSHR0eogQDWSQwsgCxJSMJxsIkjCHiihA+0er3T3z2cTnNg29y+fx9bFFDjcXzXxWk0iLsuI2OjbNRqaJb1tS6eHcfho7/7MY2f/ARpdQV6XWKCiCbLFHpd2pUq7VAIudvFqlYJmibX5+YYm5hg72yX/+X//n1MU0HUMsQNg7GsyNJGnLt3D7l8uU7sFcd+H0OWZcaGB1GkAKu7D3F6JoIsI0gCnushd7s4sRjJWIzD4WFsRUHp+ww7Nn6thizXKJWnefZ8kYsXzp1+j6VSCSkygaGUSGt5juRJ1FIecfR4UXdOxKfvXL/5Ap/5i+HM5DjPHj7C931EAM/DEQQKjQbhcJg3bt7k2cICFdvG6XSottvsFotgGMiaSlDV6fZ62J0uQddFUZRf6ffPTk+Tf/iQo3icg0oFSRDQDINQPE5+ZwdJAE0UEQWBmOcRU5SXBGyyLH+m48fXGcFgECoVImOjHBwcMP6Kjc3+wQGqYRBQFD54/pycpqFFo6i6jtXt4fZbBIMl5tNNLo0p1CWNej3DT37S5erVBtPTE6iqiqHrRHWdQirF5uYm01+AwvNZ1zwUjuDEYpiNOrVQiB9++CFGepB64BrKxWdo1R2CooA/PHRKSSq326iuy1vXr7P9s58RnpkhOTLClUuXefj0CZW9PaZGRxE07TSky3VddsplRGDmBe4ywNbhIUIgwPzAAFu6zoPHjzg3f4al1VXMSAS/1yNmGAg+yFNT7OATPHOW9vIy1z9RdP0ex2i1Wpi9PidunwSDBoZhcP36Ja5fP+batlotTNPi+co6dc+lJki8X68jNZuIi4sERZGEqjI/NYXveRwpCol2m4LVJ9DusJTLIRpBEuk0dr9PvVg8FvR7E/Rtky0pwEir9co5qlwu87BeJ9q3mJ2coKhpfLiwwHdu3EBRFDzP487z5/RjMa45GpFIhHNzc9y/d4/H1SrfTb66Y/4xje5FzM3M4G9scK/T4ad37/LW1avsFQoII6OQzbBQreD4HiOtJlK7zZ/duvXSe3zz9df5wUcfsRyNICwucvH8+d/Imq/JMvHhYfYPDpicmGC7UADH4exvsfsMX6ECulwqUX3+nL4sIwwN4ezu0m+36LouDd+nJkAdgRoCNcDrdJibnmJI13n9xg2Gh4cJBAL87L33uLuywsHRIc/NHtVymbkLF3A1jcqRiL0T517ZYWx8k4GMSak8jReEtrJDqtul0+l8atE0DIFefxBNKPP65Ss8WF7Gmp2jk89x/fLlT+2gul2bdCxA9HyUlbsqj54+4rvfSrw0EPv9PqJ8/P/q9TqlVgtBko5nAN/D9zyiwSATExNYloVpGLiVCuFolGx6gJ3DI6xOh75pIhoGjqqye3TEt99+m2cPH5LJZOj1evRdF2IxvEgE0baR/OMixvF9TNNkf3+fo2oFeWqaUDJJbWeHBDA8Okro5CiqUCzSarW49AWP0L+KcByHD370I+z/+X8mUiwiCwK6EqDruezaDqbvE9/eIu7YdObmuTQywuXBQW69/jrxeJz7Dx+x8/Y1fvb+NEogyUBMoFbzaXTqtNsS1VrtlxbQAIIsMBZPEO5nubO6giBLfOxv54fCBFotQhMTuKZJ3vRxCyns2Q6FZJKI5xGXbQ5cGRYWmJudRdM0XNenfNhmZMani0NU3MeISNzd2OCqbeMBsii+Mj3ql16rIBAKqMcT1KkNnw+CeDx5niCTTlOqVIjpOs31dcrVKqKmI6sqgYBCuVJC6PVIh8O/cgGtKApvXb1Kt9v91LVdeuON32rn43cZgiBw+cIF3l9YoOV5p7SLF3FUqSDH4/RthzVJIhY0GGm3KWga3XqdXqGAvr/HP/mz/4ZQKMRCrU5XFghrCrIs4DgOT9fWiJw5Q61QQCiVGLpy5Utfs+/7xONx6o5DNzsIPRMjOwiHEQYiHuFUFMvSkff26C8useW4pNJphHCYkO8fc5UFUJJJFECQJRzHxrdtBF0nkcmwsrrKtatX2dzeJpzNkrDtl+5Lq9VCCoURO21GhofZvHMHYXycBxsbxzHo1SqmY1PKgd7roc3MUDo8pGWaaNksHz1/TkRWmJ+ZJhKJ/NoOM18FHB3l+K//ZYMPPxxCUSKMjQnE46vE4j2GhkTOn58iHA4RCoWIRES+M3DsJGGaJr1ej73DQ8qyTM22qQQN/vboCC0QwHVdJhWFJ65L9+kTar53TN0wDI52d+k36kRDYaJTQxSEfVzgwitCQsrlMj9bXET0fb7z+uvous7Y0RHlRILnS0tcvXSJw6Mjytksw0dHp+JDTdOYkmVKAxmOjo4YOeHsfxHMTU+z/9FH7Eci/GBlmWZmgPzRIZlejyuDg0zceoOFtTUedbufGkOSJPGHb77JX33wAWvRKBPtNpFfc9Pm+z6qqmL2TDx8NjY3yRkGV5TAb30O/ko9QabjkvM8lL5Jp9ul7jhUgRoCLVHEC4XRx0YZm53lnTNncFMptFaL+Rey07/3B3/A3Ows//XHP2a5XGGnZ9JqNpifuYb9JEv1EEIhme2tWQrFNa5dXcdvTyFk5+loZR7t7iK124wODjJ8IpKJxvp0QzGQGjxZWCCYzSJsbtDTdT589Ih3btw4LTAsy6IdENA7DyltwvjVq+ztp6lWqy91ofP5PAPDI9Bs0mg0aNs2oqwgIOD5Pr7jokgiw0NDPHj+nHYqxRSQ39tDiceRPA+728U2TWTHwYjGyB0d4TgOgiCwur/PcqmEo2tIro/U7iLLCp4n4vZkWhY8WFsjPjSE12xibm5iiQLvXrv+qYdqc2cXTdd+5QLmq4BWq0W5WKS4ssrA8jLFYvE4SU8QOLAtOr6PCTSF441dVFW5fuM6o4ODiNXKqWn+2MgInUYeURsjqmtEwgKrOz2c/hFesMFaRWH14ABZFFAFifHhEcLhEKoaIBgMYlkWXckh0urzp9/5Dv1ej6VCnq5l4RjGceclFMLpdBA9j1orRUiuY3X6eGqAvqJQ9ptYvktFkli+c4e0LJOOp2lJLjO2hZhOk+r3GR8d5fnmJrvtNnI4jNjpfKl7Nzw4SFzXqbsuKAoft4iKrRa2baMoCplMhid7e/R9n6FUCntjAzGdRtV0JFGi22qhOg6xF/QKvwpUVf2Vi//f4/MRCoUYDoVoB41PdaG73S5uKIRbLrNQq2NFImjJBIFiiZGlJcqCgFIq8fbZc8zOzuI4Dp3tHF07wdRYA883+OHduzixGPLaGpfPnCH+JVNNe70erXabxfV1lFSKXrtNN3dEfHwSqaOzvLrDmSsKLTWE47oIly4hFYrIe3vcM03sUIhCschPbt+mqx777xuajuf7OJaN4PvEUykiukbBNOl0OuyWy8iCwPQL3GfP8ygUiwiGzpnBLKZposoyLQQ6rsuNYJBCt4uUHkVoNRFOaHnnJyeJnWhvSoIAiTjrvS7t1VWmBwdJpVIvaXm+bvjx393jRz9K4pNgZCiMJAnU63HKJZ+lRYef/rhCMrVOItFhICNw6dIkuq4SjUbRNO30xMn3fZrNJq7nsXd4yKYgsGzbyKLIdqWCmkiQSKVoN5u0KxXsRpPoufNgBamMDDFbWWXsEz7Grutyf3kZ0mmuKwr6SZDIa9ev8969u+wFQ8R3d7lfKOLbFrcuXnypyfba+fP81fIyiyeb1F+GXq+HbdscHh2xUyrRDgaJqio0GsQsm4Tn8acvpPwFJAlb01heXWVmauoloaAkSXxjfp73dnf56wcP+KevvfYrn8S9eD83D/Z5rmrE8zkqmsZur0fAMBgc+O0LYL8yBXQsHofZGQ6ePKF8sE8XaMoyrmGQmZggPjxMemqK89evk06n6ff7PN7fp38i/HkRExMT/F/+2/+Wv/nBD/hwdY1i3yb3ocSA6DM0NEi1IiAIMp53lg9+XmFuvkqsX2XiSpjtZhNHVSn6Phv37hHTdTRNRNQEevEI4YEk7d1d3nrtNTa3tqhEIvz0/n1ev3CBeCzGwvIywXiMKcMgFAyyWT5ETwzyeOkp333nFwW0D6e7r83tbSzfRxDFY6sy75j/HInGsR2HhqKg1apcfP0W6Xyeh9UqWjB43IHu9dBdFyMUohNP8Hf37uOPjWLVagwCEyOj/PyDTY6ea3SdOP2ejNnsM/66iN1qE+x0ePvSJdY3NugYOpVK5SWOneu6dDoCotn5re8W/z5g2zaWZb1ygsjlcrSWlghaNoLVZ7HfxwWankfvpHBuI1CXBKSJSaa+/S2Gz58n7rikQyGW222elcu4KytUDuosrUeR1RSDCZF2x6ferqLLe1ybj2LYFrYo0vc89MQgzxckRKGP55Vx3SquLKAnzkD9AMMwePu114iurfGsVKLU7SKc8KGtcgUklU4uinxmn17RR9Y0JE1HVgNIqsq256EPDFAC6tsW0EDQIwjlMpfeeOOYw3ruHM+WlvDTacRPdHC/KAKBAGFDp9b7hf+nIAjYqsrjp0957aTACNg2VjBIr9ej1O2gaCMYoSC269DrtAmYJpd/Cyb7v8cvx9m5Of7u0SMsH0ZHR0+PmZ8sLCCHIxz2++wrCmo0iqTrrMSiREolZlfX0CbG+cPvfheAxeVljKFhAtY6PTl5nLqXyZB1HM698caXujbTNFleW6NuWYjhMJbvo59YhYmx+LFHf8VjcrBKwo+hoyGr6nFMcSRy/BmSSWRVpVcsYosiNUHA6/fRDINer4frumiyTFRVqbs+/ZkZfr66ipbJMPiJ7vPDx49xkkn8UglT01jY2UFOJPB2d4il0+wcHFD1fQZDIWrlMpFWm3deoAZ+LFyv1WosrK7iyxIlSeJgfw+x1ebc3ByhUOhr1ZWuVqtsbdew7QBj4y7hCOzs+Ti2QDQiEAkryEqWTidLve6ztury/vsNBjM9wtnnRBIOw/Eo8zPTBAKB05yIRDxO6aOPOBocpHD7No6mkYrHEUWRaj5Pv9EgrOtMDA6yKrYZkRpcfgWNaW1jg0o4wiVgbnb29OeSJHH93Hn+bmWF56EQzaDBn2eniEQimKZ5bJ95IrpOuy5lI8j+wQG7BwfomkazZ2L7Hp7vI4kipucd29vqOq4o4gCpfp9L4+NEpqb490+eMvmJtXtuepqFDz7go3SatTt3+PaVKy+F9Axms3zD9/nx9g5/+/Ah3zx//pXrf9+yWN7cpOe4uPj4goAL2L6PlE7jqipVVUMSBHrxOIVAAD0eJ5TLvZLb/Q+Nr8zTkkwm+YP/8X/kZ//7X1Pd3CCl68zOzuKl0yTHxpg7e/alDHZBEPBME+8zPFpDoRD/x7/8S4Zu3+and57ybCdPw/VoNZtMTU1gWRrNpkA0kuLpkwRj40+5+VqKd27dwjRNVtfXEXwfPxYjlohweCjSc1yaR4e8ceN4YpudmcFcWMCKxVg6PGSk0SDf7aJ2OgyfTPzq4SERrcqukKJcqZB6oQvt4SMAR4UCniCccKJ98DwkIJ0e4PHyMvG5OfTdXQAymQzq3h7RWIxcqYTV6dDqdPCiUQqSSMb3COXzSK7Lzbfe4vnCImIgTG/XhoCC4yi4fRfZcbl89gyJE3HVQDrNUqXCdqn8UgHtOA6qlEEU819J/vPyygpdUWQkGv3ULt/3PKoI+BPjXJ6aouT7bN29Q9g06QsCDUGgF42SvHqV6XffxRscJNFsHjtQCAKJeJzFlRXyjscPPnDoeoOkdINISGB9z8TqHXL1cp1vvfu9lzoh9XodZ8Alny9SKrUw+xq2MU77UARrio2NLWZmpjgslXlzcpLm2hr5YpFSq0Wz1aTdi0OjidAp0jIldFlC0jRkXUfSNARNo6VpeEqASkBFM5s8bMJkNMJfv/ces5kM58+d47Vr1/jhRx8dCwC/BARJIhgK47fa+L6PcOIGU+71yLVap68bTKU4sm2WV1Zw9CCapmMYQcxel367QwrhpWf/9/jtw7IsHv30Z0TMHomREe5+//sIug6yjBGNUWq3eFarIwwNIgUULLNPp9GkYppcj8d5Kz3Ak/v3SQ0OkhcEtKCINzVGOplkP587Lp6/BGXM932ePH9OvttFEEUCts10Nkt0aIj7i4uomQGmkyk2Ox3M7hLDo0M0XJeGZeM0m/SbTWRRZGJ0lO3tbczJCUKeh+37lGt1BEEkGA5j9i1cxyUhy+iFAm6jgZhO4wUNWoKAUKsxUK8TNAyazSZNSUKsVFA8j92+hem6XA6FGJic5P27dzFP3BE6W1tcPBFRvgrxeJx3bt2i3++zsblJs1FHTaZYqNXoLC8TkSQunj9P6GvA3fd9n1AwgE+DUnkFqz+A5wbpmgatjkagIqPKAsGggKIIGIaMriZZWILa8yTh+Q7xoEniQYOk2iAS7JJOCszNDnPY7ROx+hQnJzEKBRLJJLVymU69Du0271y8yGCvR23cQ0Fj+WCf0ZGR0w3M4dERz1otRhyHS1cuf+rao9EoZ+Nx/tqxmbUs7q+tYbsugqqiJ5NYrovnuiiDg9iqxn2zR2RoCNfzqLb28V0PXRYRPQj4IPb7aK7L2elpoidpwgAHhwf0DR39E/oVRVH4y7ff5uf377Muy/y75WXejEaZm54+/b9Dg4N8B/jb7W0+6HQQ+xaWbWH6Pr7nI0siuijiBgK4ThdFEBB8H/VEaBvIZlldX+ec5zE/NXWaXCsAsdHR3/bwAb5CBTTA+MQE/+f/279hfWWFai7H+JkzDA4NvbJwCwQCWK0mim7guu4rd0eCIPDWm28yNzvLvwv8Lbdv73OU69Fo1pmbnWMgE6dYEEAQqVQu8f/+f+V4/fUtvvmt17h88SK+77O3t8fK7ipHgRmGDg548603TzstgiBw6eJFms0mHy4ts6+qBKJRxlSVdrsNHNvE7eztEYpG+eDRGv/kWzd/0SVwPRzXpdHtwsf8Z88H10NTVYxIhOj0NH3TJHayOxQEgaAgMj0ywn6xSM006Xc6JBIJkuEI/XKZdCSCeXLsnq/X8G3wHRcCPse3UqBe753ucuF4A+NubtLx/VOlLEClXME0Xebnv5rK77nZWe5vbLCWzzM4OPjSOBoaHmbohUjh7/3Zn/G/5PNUHz+mXq0SPXOWC2/cIjw6SiCdxuz1OPNCsIxhGEyOj7P14VO2V6PIgRSDcZFW26farKGK+5w79zr37q1x48YMyWQSQRBOi+l0OoXv+/z4o48IBNYR4tBoXsPzPBaWllAGsww6DnN//ufUajUsy+LxkyfcuW8TSRRwmw2auo7kuEhKB0cJIGkqkqaBYdAMBukYCsFmD0OIkpcVpOwgrcMDpiYn0XUdTRTxdJ2joxzlco25uakvXMxarkt6eAT/YP/Yxk449me0PI+K553GbUfDYQ4bTXKui6hrKJqKHghQKZeg12U6lfw9DeMfGXzfxxeO+fGloyMikoRZqyFLEl69zsH6OhORCBuDWeq9Hr7r43DscT/6h99DDIWI5fJs9LrIAwM4h4fExsaoeR5uqczIuXOnNJ9fBbV6nY6uEzNNLp47RygUotPpcOfZM1zDgKMca6JEoFbjjbPH1D/P8/A8j7Vy6Zi7n83SAJRsFklW6I2N4bguvbU1ApqKHjQoVqvHMcr4xMJhLl28yA8fPkR3XZxolMj8PIf9PvXNTVxJQgBkRUEZGKBzcMCFsTGKpSKrW1u4AI5D+PCQyyfX/HlQVZXz585xnuOu9FE+T8fzsZMx7mxsInTaTA4OMjY6+pXtSieTSS5eyrC8ska5bNJp7yOKGpIURBQNHDtMt5Oi1jAwdINQUMIICughn8k/tQlPyQhenMa2QrU+TNESWNiFHzyq4c5OESzu0dNUgqOjdHxo9nq4Vp+xZJIrly7x81KJ3M905me3qcXC/Ifbt7k+MsLE2Bj3d7ZRXZ/Xb1x/5bU3m00eVapk8ZBsB0WWQRBQHAelUGB+dPR0nn2wtkY1GCTR7TI+PMybnxD+/TIUyhXCwRAp7dPzp6IofPvNN7lWr/PTJ0+4raqsfPgh37txg/DJGBwaHOSPgLWdXUK6xtgL6yEc1yPG6Ci6riOKIr7v83Rhgf1QiNbODn82cpxx8I8VX7knQxRF5s+dg5Mjq18GCQFZ118qBF+FdDrN//A//AUTEx/y4x8fsLtrsrDQZjTi5ggAAIAASURBVGx8jqHBIY6OZFxHwnZG+Nu/bTE1fcDY2AidToeNw0NCE2NkejZGSXylGjYSifD6/Bw/295GDoXY7HU5yuWI6DqWZVGr14lmQ+ylJ/jp7fsMpWL0LQvL85CbTVxFQfQ8BI4XJjyXRCrFwPkLmMUCpmkyPjeH67qsbWxQ81yEdApJURA6HXTHQfJ9jEiYVjKJrOk4rQ6madI1guhqA9938XzvFwV042XqiyAIhBUFOxym3++fTrpHuSKKkiYe/2qqvzVNIy3LFCJhPrp/n3c+w4YIjiecP/sX/4L+P/2nx04mrRb5XhctkcA5PMQEnJPOUb/f58nCAk09yI8/sOg4k8SMIJGQwMquidXP8fZ1mTNnu/j+OR4+POT6dT7l1rK5uYmazRAz+zTdPsV2Hsu2qCgywtERcyeik4+L7tGRcTw3SjS2S71RZa3ZJFer47daOJKE2w0gBhSkQAArGsVMJkgfHeGc8LpFRcGSJBaWlpienMLuSpj+FA8fdfG9NLmjNW6+NnJ6cvFZ8H0fW1FICAI4Lr7nIUryiY5QpNjrsbG3RzKRYHVnB39sjJzjIIbDKJqGIkl0ul0MzycTj38lTz9+l3FsjwkBwA4GyUejvD41xf2FBT44OqIYj6MmEtBuI9oagiIjaxra+BimolBRAnjZLPGdbSxRptLpQKWCadvEZ2Z4Wi7TLRYxBIFsMslgNouqqp9bOOzs7dGxLN466cJ2Oh1+8uApaixEyPdwx8awymVmk8lPPWsfn7xVKhVsx+HJ5iZSqUQim+Vps0VHEJADAURJotfr4XsumBYT4+OY/T6GLCMnk/SLRcrhMLpt48/NUuuZBPp9TEnC8Dz8ZJLtXg8jkSSUSnO0s4NWrXJudvZL8Znj8TjxeJzzHNMacoUC+6ZETpLorq6eJjp+FfHtb7+L5/ksLR3QajksL21hOwb9voogaIAOgka3G6bVHiA0ZDDytkhg2EfRJERJInXpmFahSDIqMqWGgKqG2V/xECtVhOwglXaLviQhT0ygDGT4UaNBPZUiPmSTjYe4OTbCT58941mnw+MPP8Q1DP7s3LlT3vOL8DyPB0tL+KkkVz+HntbpdChXKvywXCaUThPL5Ti/ukraMDAkCV1VOfOCT714Ekj3cSPI9n3a1Qqjr/BQd12XDx4+ZHJwkH/y1lts7e7ygWnyV0tLTLkut65dQ1VVhgYHv1ARbFkWz1dXeej7DB0d8ebUFIP/iItn+AolEX4ZdLtdGpbFaCr1ufxcVVWZmZlidjZGs7nH4WGFaq1DsyXg+2EaDZFsRmBvTyYcWSGbjXFvdRXXMIh0OjSdHoptMfkZRw/FUomaqpKq15lOpZF7PfrNJr5poskyfqeFJbh4mQn6ZoO66yINDICisFgqYesGnhrAkyRczyM+OorS7WA1mzi9Hp5lcX9jAzMcxm63MRSF1u4OXddFjkRQjCDhYIhmrcZwZIz6bpOuWcQfHMI/bLCy2EKWwwhCANtxMfQu3/uD8ZcS5AxdJ9dq069VT48Qlxb36fVaXLgw+ZUtYlKpFIWdXcxwGMWyXuKCfRK6rhMKhzF7PSqrq7Q9nwhw/coVNvf2qJXL1CsViktLJEMhNrYO+MmTDsGJMSayEbwe7OWriNYz/ugPp5DlERSlimmq5PM1BgbU085Dv99no1ikWy5z8/JlcoUitbZKaFjCqlZ5+/qnBZ/37x/geTW+853XmJudIyyKDJ8/x6Aso7oubt/E7PbwbJueLCNoOsNra7RFERNwexZWvc+gNsfSgoXvKYSyBrq4xbkzQXZ2uxQKbZJJ5ZWLw4tYL5UQ2i3WDw9xZOnYolE4Lr5c10FPJtnLHREcyNI92Gel1UKMREhms4SNIAe7O9i7u/zzb37z9xSOf2QQRRE1HKHV76NWqwQVhe3VVXY8j9V8Hs91sbtdXMvCs51jX3sBXElit9tlrVajWqkgNPrMDo+STycJGQaabSFVqwxHIrSaTfqSTD8WpdjpsLm1Re7wkHgkgvsKW8Nut8tGoUDAcZidnGR5eYU7d/KogRA6LYzZWXqWxbggMPkJxwTHcU6FWOFwmFAoxE6jwUAgQLHbxd/dY7lRR0unSWYyVJtN+pbFyGAWRdModDqosRhtXUfs9bAAEglotRH39tAiESK5HNPxOGlVJRkIEBFFoqLI/Ogou5UKlUKB8eHhX2ue1XWdgXSa0XSarb09Wq0W02Njv+3h8vcGURSZmZni7NkJLl8eY3JSI5v1SCb7qGoHx67iOHU8r4VAHrtboGcfYYXKNHsdLNdF9Dxkz8P3fdq2Sd1sYegqoqIQcF0Ux8H1fbqra0Rcl29nMiQch3YiQTjjMNzvMTkxwczQEIe5HHuDg0SbTcLwki3mx7j36BH7iQTD5RKvX7v+S7/vn7z3Hv+fhQXasRip6RlC6TR3dncxNA0rFmdHFHlvf5+H5TKrtRqHnQ6PlxbZ2d9ne3+fQ9MkqesMRyKnkeAfPztbW1ssBAJo9TpjIyOkEgkmg0Ea+TzLwPbuLqptv0Q7/Sx0Oh3+88OHFKJRJhsNvvP66790Hf1Hgq9eEuGvgmQiQb1ksbW19ZITx2fh+GGb5l/9qzDp9E+4/VGeciUEfoCAOohtayiKRi7vcWd1FcH3ORuLMTQ0RHNlBeszfHBt22Zpfx8hm2VmYoJUKvXSv5umiaZp3HvwgKJiYjebnB0aYu/wEKvRINDtEkgmCWYyhJOp4wQ5USTcamFHIoitFoeGQSIYJN7pMHb5MsulEpfOnOMHz5/hdrt0e12SsRi2olDrdDGTU+STLQaCBmpAOrbG8z1EEQQEOh2H/kka4ccIhUL0asu0XliYHFcnFOp+ZYvnj3H5/Hk+ePyYLddDFASGhoY+87WlYpH8/Qc4psmtW7cIndj8SAjgOAxUKuQ9j14gQM7qkPpjiey8yflBn/v/tY61tMfl+Qrf/OZ1SqU85bJGvy9g20PU681TMcvzxUV6msalE06b6wh4yQySlGN+dPRTtIZisYRpxhkfb5x+X/OzsxzdvYtg6PzFH/8x1WqV5bU1jopFDnSdluvhWjbdXo92rkf9SCEle7SNfYaHJc6eneHh0hKOKDAyMkQ4HOT993a5ffuQW7cgmXx1J/rw8JCAYRAPhUhFIuxbfY697HxAIF+r89OdXXRDR69UEfp9LF0n4IMEmGaPfqfDZDj8uYX67/EPD0EQGMgMMJAZoN1uc/f+fQ4sC/fZM2Z8n2IkQt22sUwTsdXC1jSUaBQpGEQIBLAJ8GQhyQcP0/zwb0XmvuWTOGfRaNYR4jFKOzvMDg0xODhItVqlZZocuC5tSeJZqYzn2NjVKoYkcW5+Hl3XWdvYwEgmGQ0EePZ8kVIxTiDQJhUzkQZGaPX7iHt7TJ14M5umieO6PF1cpO04GNksnX4fymVGk0mCkTDVoyNQNTyzR6/VIhWJoCoKvVYLq1plStc5Gwrx8ez4ZHePmAB2u00nESd0eMjN+XmeHR5iuy7ZTOaVc2ka6GYyFAqFXzmu/FVQVZUo0M9kOMrl/lEfo/8mEIvFiMVipx3Per1Ou91ha2uLra19KpUuvZ7H1tYBTs+ms+DS0zWaQYNiOoUajaFFIqiqimw7x9oqy6KnBIilUqQlCSUQ4Fw0SsSyeN5sMlKp0BsZwa0dn4BXqlUaoshMoUjb83je65G7d4/Xrl493ew1m03WXBcpn+fq5wSVdDodnuzssJ/LMTU+QUKWef7kCc3DQxKex7AsI4sikxMT+HCsg6lWcQWRhuPQc1324jGCosjywgKqIKBJEinT5C/feou1XI66KHLh6tXT3xmPx/mjt99mfneXD4tF/qZa5eCjj3jr2rVXNjE+dtv4358+RTAMpup1br322u+M4cDXuoAWAKUbxFJrHBwcsL2/z/XLl1/qqr4KAwMD/Pf//V8yNPQ+//Y/danlazhOkm5HIxiXqWkjTNpFvvXaawQCgeN0o1oNT5Je4gfDcfH84YMHKLOzyCc2Mi8W0M1mk5/8ZAvDsJiYSFA7OqQ7OsrWwQG+qnL5zBme7Oxguu5xfGsoiGbouLn8sQOGbaMGAgiNBg3PR7CPOyhuv4/d70G/j9Pt0u/3aZg93GCQUquFa6kMWgG6ez12TA9BOR7sgnhMRQ3IYTY3dxga+sXEapom8UwGajXguANq2xLx+Fd3mLmuy50H9zlstugDU9PTrO3tEY/HUVX1U5SdUrFI7qOPsDSds9/7A0LhML7vU61WiTcapHWdPSXA1MVLLK+v8aBWRp2dY2RogL7Uw8o+J3Fmiz//0xmGh4cYHh6iVquzuCBTrrTRNBXTNBFFkWKng9YzyZ47h+u6FBsmplgk5riMTn7a1siy+qRSec6d+8WRoKIozAwNUTEMtvb2uHXjBmfOnGFnd5fHroPnQ6XdRqzXoNngxrTIxakh3nnn5ulnV0WR0NgY5XKZdDrNN96Fn/98l5+/f8g733h1EZ0rlegA09ksQUnGd3v4+Cc52cdCWbNSxulo9AIBRFlG9Dw8y2Z3YYFyIoHT6TCeebWY6vf4xwNBENgsl7kvCCiDQ8S6HcarNTLdDouZDLZlIZgmdruDpGuIepTuzjiVO2Fcy6VZENnZlnl6zuHCBZWpWJnoeIxN12X14UPmh4eZn51lfnYW27Yplkps7RdxEeiHwzyvVOiWy7iSBEc5FD1EuZRGUfaZnY1y1GkTMgzM5WXeunqVnd1dcqUSTiiMp8hExsYQ9vagUOD86CiPKmVyhoHggZ7JEqw3KPg+cjCIJssIvk+/28XpmdDrMTQ4eFoIrezv0/TBSCQI1hs4HFP8lPV1vGiUVqv1ys7cuTNnuL2ywqNSiXfD4d9IgM9AKkXOdTnM57/yBfQnEYvFiEajVCpNJiZUrlzR6fctOp0+uXyG5e0tNPGAZr1GNVekG1CQwkHUbBZjYIDS+hqu6yCnB5BCQYZHR+nZFkVRRC8U0VNJks0mz1otVi2bS47D7c1NJM/jGycngz+9f5/65CQ/vnePd08K0DuLi7Q0jX8+Pf1Lff87nQ5//egR+4aB1WxSWF+j36hTLBToHh6y0GiipVLgurx9Mv5GP9H08TyP/8ejR5zpm0yOjBzrFgD1JLxl3baZU9VX1kuT4+NEwmFuLyxwODDA/+/DD3lzdJSzL9BFfN/n8fPnLMoyBvDdmZnPzTL4x4avNYVDlmUWFzcJBkVESaAZCLCVy1E7OmIgnf6luyBJkhBEOHCa5Nd64CdRIwbBGZ/6bpk/fjtBOn1cCAuCwP7hIWo8zkgsdlpA53I57i0soKbTRKNRzHweKRqltLdH6iQ9qFqtc7CvIUl9KlUNKRSmF1PxEnE0TaOaz1PrdGj6PlIohGIYaJpGs1En7HqkJyeJDQwglssM6DpVTcOt1ymWywSzgxy2WpiahmToCP0+TqlMfnObtfcs7v7tInf+bpVGv4M2EMeuiUiihm17yIrNzLxPo1bn8DDP4WGenf0cSiRNv1KnUCiyu3tEODxNJgPxeOy3/XX/veD7P/oRf3VwxFIiiXDmDPu2w6pts7i/z/LSIvmjI6qlEqlEgsVnz2k/fYql6Zx5521C4TC2bfPk7l2EtV3s/hC57BxmW6dUsnmQ2+cwpJCemGAmk2X76JD85hqxiMbs2TnK/TblToc+AqV6nHBapNLcpuXByuYmSiLBucEsoVCIn9+9ixO/iN845Ju3Xs1pjEQiTEyMfOpoOxgMsrGwgBmJUNzaYvfwkL1uh45hoJZKKGfmuazr/OFrVzk/N8n58+df2jgEZJlCt0dYFImEw2iaRiajcXBQZ/uwQToho+v6S92UWCTCXrWK1+nQbDXZrpQRA+rx7s11sRsN7EYDt9vB7fbwTBO/38fr93F6PcxWC8G2mU+lmRka+soKoX7X0e/3+d++/33uFYv44TB2QKGnKOSCOiVVw8ZAFjLYjka/EcQsy7hdk95+F6siAjL4Hp7n0i4r5GsRcp0U+QWRgN0kMjLEbuWI3N4evusQDoWOx/noKNMjI0QlCaHToWWaBMYnUAIpNkohxqcNbLOAmEoSGh7GdVysSoXdXo9WIECn20Xpm8ymUoQ9j/PT00xNTBCNRBhNptja2KAdCWNZfSZCId5/9IhqJMzA4CChYJC9nR2EXpdvTk0x9QIdpN1oYA8O4h8ektV1zEgEt1ZjfGyMo3qdci7H2Cs8fRVFQRdFWrpOfX+foWz21z71i0ajrC4u0hVFJjKZLx2F/ruKWq3G0oLE1pZMLudxdDjE8+dJSsUksdAYEWWOhHaRiHCB6pFGcMRDVSUUI4gykMbudNGCQZAkBFkmGApTaTRoBg2GqlWSoRCHpknc0Hm6sYEpSfw3V64QDAaRJImxbBYvn6cUCLBRrXKwuclaMMgVx2F+evozv99Op8P3Hz2ipSiMt9vcf/SQVqtN/ShH52Cf3v4+U6MjvDY3x6IsM+x5xE5OLV/Ek4UFcorCjWSKsdFRopEIsUiEUCjE4uoqC47L2wMDJD9Dz2LoOpNDQ4SaTcqdDs9sm8buLtlkEsuy+PDxY1Y1jUy9wTsXzr+SrvKPHF8PCkehUKDZajH7CTN9VVVxXZtazeTKlQtEikWeVSr0sll+cv8+s4ODTIyPf+bEcVAskIroQBEp2sVK9TC6BqV8iv39Laanp05fGxBF2u4vKBz7BwfstVoIqorabmMbQeaSSdZ3dpAGBnjv/n3euHwZQYDsYJhwuImm+xzaFuFKk04whGsYuLZNIhFnv1qj0evjtI/FKg0glUpiWxZBoGealDttvHiCRVEkOjiILcuMqCrL+Ty9Xo96s4lTqdBvCFQ3NUT/CM+3sTc9ghMqkak4/cPjh9ZxBbqORLli8XHutzIwitUS0LRJRBECAWg2l7h+/SpfRbiuy/vPn7MfDDJhzOEDfVEkODiEpyiUfZ9cuwXtNh89ecI5y0ZLJBBOxEyVSoXdBw8YFRVy6kVK+h6KWmV01Gd794CFRp7A7ATD6QE6Zo/C0SFWvsA7M1eoV1PULI9g1qLb9Fjb6zI2IKGLZ2l3AwjeEK7TYL+9g2XbmMEgMb+PGfJ/5c+pKAojmQw7wSDC0BACoHsegc1NrkxNca9cpi4I3MxmX3lMF41GsY6O2Cz2GT7pcsRiMd5+B+4urbNUr6Pv7nLz+i8U54ZhoJgmfVVlLJMhsbdPtd0CBOxGg36xiABIgQCyqiGpAST9OIFQ1jSkQAAjGKF3Lsrh0RFTk5O/7eHye3wC/X6f//j973O/UMAPhxEFAU8QsC0Lp9NF7nZ5e2SA6bE58vhsHxZZP8phdlMoKY1EuAqiiSCG8QnjdFV8X6JlCZghlZX/OkryJyLTZ+cZviBTPqqzVSjQrxbQAvBx/SGK4PgS5HScEgwFVrGsEN65cxy4Ll6ny5AsISoKeqdDMhBg+tq1zxQkBoNBAoAajVDZLLMpdPAMA1wXXdNPqR/iCd3rRXS6XVRV4+zZswSDQXYePmTT85iYmEDqdGh73me6iwyk02w9fIg9kCZfKDD4G6ByzI6Osm2aLCwtfe281KPRKJevdnnz7WO/4WazhecBvvnxkofvH68Dq+sGSmyCnudSNDV6KQ0rHodwCNexaTWbIEqEIhE63Q4C4Po+WreL0W5TmJ7m7P7+SycHgUCAM7OzJEslbq+tsTYxQXh3l6vXr2Of5FesbWzQardJJRLMzszQ6XT42dOn5BIJ/iwUIjA6yv/0V3/Fbi6HoCj4joPvOhyWymSSScRikbWDAyZewXPv2DaKZTF24cJLP/d9n8f5AqOey+z09Ev/5jgOovgLswRFUZibnWVqcpIP7t1jR5b5jyvLaLZDV9OYbrd569brvzOUjU/id6KAdhyHVqv1pXcoK1tbtCWZWLlM+hP8YkUBzzte9AcGBvhOOs3Sygp7osie63Jw9y6Xz5075ZV+DNd1EcMR5sdFfp7NIUT7tNdF5Dmw7QDFYv+l1w8kEnTNHgCPnj6lEQgg93pcn57m0coKzuE+N27cJDMwwOraGoVgkI+WlhgKBikVPQwDdgoFxGCQC6kUa3t79Kem0ESRrBJgvdOlsxEgIuukMwaBcJhOp3OsyvZ9QvPzuL6PIggEPQ+51cLSNbJDQzzf3MSsViEUxun2cLsyvuuB6AIuvuvT2ioTn0+iDkm0Ww0CcpWh+ATvvvs6AHt7exzYJhlBeGlHGgxe+8omEO7t7ZGrVvFcl5QoUtve4rBUJGAYaEaIYCRCKBpFTyaxs4M89n2cbge/0+G9e/eZUhWGJJmyn6VrlpmbjdANK/QbTR4fbNFLhBlIpUmFImwc7tHM5Rh2Hc7HZQaSJXZ22kjtafT+OkO9OdKCgqdYtEWH5ACUGhJ7kkih2STqujTFHHpKo1KpfMpB4FX4mFryaGWFdjxOIhbDNU1ae3vERJGzc3NEo1HUzS20s2e4++QJ777ChUTXddRWC73ffynqPhaL8fq5WR6tr1OUZJ4vLHDh/HkEQUAQBMaSSQ5EkeylS/zLoWHu/PQnNLpdtqtV+u02ngB+T8KT2scUDllCkhUkVUVSVabOXSWcSLN9tMn42Njv7CT9VUS/3+f7f/d33C0U6IoigVjsuCioVBCaTcRandemp3jrygUaoshos8nQiMHM2Bxbjsjqoy6tvQ5Orw6oOK04djUOQhiRGpKu4HkjdOtB9g47XNjv8u73gtQCG+hDk2RjEVqFAzqtBo4roQxME5RVupEVWpaJrSXp7+0RFASCySRGscK1a9e+0EmG7/u4kQhiq82VWIyNfJ5udhChWkEKqHR7PXzXJSYKZD/h19xBQC6XiE5PIQgCE4kEJVlme2eHi/Pz3Flfp9vtfmo9gmONzrWLF7m9usqqXSYSiRD8HDri52FsbIz1hw9pnliMfdW1LC9CkqSXvP1/2Snq3NzE6d9brRbPV1Z4WCiwWq0SiMWwzD6SLDGQHaLdarE+MIBdKuEEAhxKEiOiyJos4965c2xL6Pu4vk/bdfFlGSsW47DdJpPN8v9dW0PwfQrNJqYsk4jFmOv1iJ0U2sVMlgvFAmNnztDpdBhMJNipVODE6k4QRNa3t/A8jynHYU0Ueb3ReGlM+b5PznEIfULnBLC+sUEjleS6ZX1qPPznDz8kEwrx5vWX7fdkWeabb77J/sEB97a26Lou35uY+I1s8n6b+J0ooFutFgv7+4hra7xx8+avfJR08/Jlbq+s8Gxvj8vwEsdY01za7V/cBkEQOH/2LGdcl3sPH9INh3m4v090e5tL58+fFoOu69L2PBAd1LhAfbWL5HuYPdA1lVrVwPO802tNp9MUCgU+evgQLxpFqde5fJLO4xk6cdc73bmdP3eO8U6H20+ekNNUXFkhV28jRDQuZrNkMhkUWeZOtcrQ7Cy11VVimkH5QKC665OacHEDAQ6bLUTXZUJRMAQB0Xao5A6h18MH9Olp3EgEwT7elQrhCOAjiBaiZIHvItDDxwWvR23VJXYmS2K+y8WMydWrv+hIbB8d4aoqI+fOfW08dycmJpgeGGB//4AHP/whHuACsq4jGwY1XUfSDRRDRwuG0MMhwpEokUQSOT3AkSiy2+vRb/QQqyVaPYl0KEI1L/Ks7xIYTzCaHcRxbHIHB9j5AlezWb7xxhvIssyZOYf33ntEpXqDgw0YSi1w42qYza029v5ZxlIuzeERBM9DdBwc3yeiGxRLpV9aQPu+T6VS4cnqKu14HGNujkAuR299nbPDw4zdvPnSxKkJEBVFqskkzWbzlRxNPRRiWJJoNhovdVlisRjXZmd5uLRMNRziwaNH3Lx+naNcjoNSCWtiArFa4cJglrf/9b8mnz/m9j9aXSVXLFDa3qHT61GqVCjX6/iSjde3iCdkrk0MMhxR6LkZTNP8jfBCf4/fDD68c4flRp225yFGo7gI+JUKbruN3Whwa2aam5cu0VMUArKMbRgEdJ1ss0lydJTL3iYP5RAbzQPqRxWcZg2/f9yB9vwedu8KoiahqKCkOpj6LomwyPWrF9ne3aXULWGGfAzfoo+AmelgKBZiRWUidZZmPs/FRAJBEFhvtUgmEp9bPPsnHvhPFxdpqiqh/X3m3nqLWr1O7XARwdAJqAE69Tqe4+CaPeZf4IQ2Gg3koIHW6Zw+X9OTk2y+95S66fPHfzSBbNs8WFzkGzdvvrIxoWkaUd/HGxtjdW2Na1eu/NrfVVQUMUOh35hA8auOcDjMGzdugOOw/v779IaHCc3O0q7XCYYiJFMpSqUS4fFxGrZFShCo7u+jZ7Ns2zbi7i4hWSYgCARE8ThcpF4nraq8pessN5ustNtstNrYAYVArUY+GCR3dEQ3m+XbtsW514+7uoIgcHZmho9WVxE43gAJkkTPNPn5vXvcunaNbdsmVyx+alPWliSufKLhCLBdKKDLMhc+0ZluNBosmSZjv8SidHRkhNHPiRX/XcLvRAEdjUaJHR3RHhriwaNHpxG+XxSGYXB+aIjHR0c8WV/nW/H4aTcqm02yttb71LGYJEm88dpr1Ot1Hi4u0hoY4KcPHzKZSjE7M8PiygpiOo27s0ek06LqNFGiHYQhlaGsxMaB+dI1mKaJHIkgBALETZNzr7+OKIpsbG6i6AZjnxi8oWCQb73+Oh/cuwfZUeRUilBx+9RrNJPJoO3tYXoewxcvslVpIYUc/GyDnZJALCVhSSLq/j6W4yDKMmMjI8xMT7Ozu0uh18OybRrlMi7g2zb0uvg+4HeQjTJur40sNTEMGUV2CYchmxQYuTxHJmKcTvLNZhM5GkVqNr82xTMcb7b+8NYt1vf/V/a2tvAFAUFREFUVMRBACgSQNO04xc8wkINBSrqOrOuoQQMjFCEciaDHwhjZOQqCyEHfojtiEwtfRgkapEMh1g/3aeZyDDou337rLURRZGtrm/X1Mq47STgicP0GBAIj7B9scv7cMH/7g2Wc0Azq3h7Z0VGa+/t4kQjdXu8zu1IfF86PV1fpxuPIU1MECgWUzU1eO3PmMwUeMxMTlPp9IqkU9xYW+caN6wQCgZdeMzs/T/nBAxq5HIOfEKvEYjG+/cYt3r9zh6Zh8NH9+/ihEI5hoOzs4J0IMg3DYGrqmBZVa7VIjo7x5v/pX3B0dITneTxfWKDRaCCIIumBAaLDwzSPjkBReLa0xBsn7gm/x28XC0tL/GxtjbxjI+o6xGL4pRJeu41TbzCeHuDM1BTNfh9tchK3XodOh4SisB+JIOfzfPfWFYaj2yyt3IRL2zzcybH6oIB51Me1Qki6giCLeC70Sj7isIc6Pcvd9Q2CrsNcNsv67i7C7CwBUaC/f0AwEMA2ezRtm4lolOHhYVqtFn6zifcZDkofF80Li4tUul2ERJzoyAjhVouzo6P4vs/GXoPqUQFt9DgJrtfr4TsuA6GXvfFX1tcJJBLMv/B8KIrC9EiEra0YW1s7TGazFAWBre3tl4rvF3Hl0iXev3cPO2DQbre/lDf0ixhIJin4Pqvb278voH8F3Lxxg6erq9zf3wdJIjg1Rb1eZ2RkFEPXqfX7xFWVucNDzszMsHdwwIamEQ0E+O6tWy81Crd2dtitVEhFo8QPD3ly7x52LIYSDuMYBpuCwGE8TrxcRu91abZaXDl/HsMwSEajKKJ4vLYLAoIo4tk2G3v7/Kt/8S+4//Of87xe58wLceG+7+MJwqcKRN/32fd9hk70BC/iwdISsu9z5QtkcHxV8DtRQIuiyPmzZ3n//n3EaJSDg4NPxSZ/HrLZLFeA5+UKP797l3dOdmiiCOn0KPl8gdHRT79nLBbjm7dusbO7w4bnsdHpsP3BB9jJJM7BAd++cI7bsUdEzuVIvhEgcXWGwWiUxTsCO7u7TE5MUK1WWTo4QEinCdVqnLt69fThOCgWEUNhBl6R6y7LMiOZDNWaiWxHsFSVXC53arWjuy6271GzbMTBUexmiZTaxTCCqFKAvm0R7vX41rvv4vs+R7kcd549Q47HESwLd3+f3Xz+WEAYULBtGx/QXI/x+RFSw+Mkpw3iZpcL586SSqWOhY21Gmu1GvcWF7l+5gyr6xsI8RhnX3gAvy5449YtspkMWzs7PFlaZPPgkK1CgYZtHzsGBFSEj4tpVUVUVSRVQw4aNAyDoq6j6BpqMIQWChEKRwjHYkykptECKj3HIX94iFMqcSWbYWAgw09+eh/HnsSymoyM5KlURLKDIbq9DdThMR7t7xAc9Kk0PeYj0D04IDo1hQdUtrYYO4mJ/xie51GtVnm2tkYjGkUazBIolUn2epyZnf1cP85UMsn6Bx8giiL61DRb29uc+YQtpGEY5Lo9JMd55XsIgsDV8+dZWF2lPzSEs7fHO1eu4LouH+3scJjLvdQ1H0gmqVWrtNttZmZm8DwP23EoNxrIsRiiqtItV0jpGrVymYbvf2bi6O/x9wPXdU//blkWSysr9Pp9PtzepqJpqHocLxJBtG16rRZ2s0kmGORbf/LHWKUS8ugo5s4Og8EgyelpnhYKhDIZ1J0dVFXlypUzdLtPKBRH+O/ejLA8neDORoXtFQnBVrDK4LseXq+P0vYxNyMEwmEagTaNShFRFInKMma/T9S2qVkWhMNMRCIMv5CYpgQCbO7unPL34fiZOTo6YnVvDz8WQw4G8SyLlNnHbTSQiwXG33iTxcVlmrVhHM8nEImgKAqW1cd3HWKf2Mg6oohdrxMeH3/p51NTE2xvL5DPJ7hyJcHmwgKmJDFpWZ/aqMLJejk9zYd3StypLvLd777+a32PY2NjbH70EVI0+tKp6u/xMj5OpHyy8Jxiu4MdixGcnydcLNE6PDz2sZ+YoFqvEo0nOModIQgCZUEgcXLasfzTNe6XL5AILHDjxqXT9zZ0HdX32T46ot5q0alW8TrH2ik1kyGUzdI+OqSNQC6g8LxeY/PBA8YVhVQySUjVaHkugigc++j7UO90yOVyXEmleK9UpF6vnzZJHi4sYAGRT5zaLa+tUVEU3v7ECWaj0WDRsrgejX6t5th/0AJ6dW2N0ZGRz7WJexVEUeTy/DyPNjdZrNUYGBh45eTxy5DNZMjlC5QTWX720T2S4RCO49BohOh0DtnePgLBB/m42+CdeM56J/YtCtDqdvHHxggEAkQbDcLhMDNnEuSKeQQlScvqMB6IQ1yj3mzy6MkTGpqKb1m4R0eYgnA6ATmOQ6OiErU7r5yU9vf3yTsOaUPCquziyzYLhQL5YpHLFy8SDQZp+tAr5Gl3fQL1JnJXQydF27LQlAAdy6LT6fDo+XOUTIaArpPwPM6/8QY/+vnPafg+cjSKIMvQUnE9neGMzmtXLhDQtjEuzODXa/Qt6/QIfFjXEYBVQWDp4ABXlnCrVeKfEBR8XTA5Ocnk5CTf+da32N3dpdVus7i0xN7RERsHB9Rsm3yhgCXLp93pjzvUoqoi6/qxAM4wqBgGkqai6AZGOAyCQCuXI+Z5ZK5c4b+urREZmkau58kGHNqmTWRQp10G23eRAxZ+IIA7Nc6kB6I0Styvsb27izg9xYujzPM8ni8tUTJNmrpOcGiIgXKZkXCY8de/+KKrKAoB20Z0HBr5HF1g6hOLuyiKCIbOiKJQKBROT1JeRCQSIaiqSI7D0MjIqX+z3u1y5HlcfIGDOTE+zlKxyPrODlt7ezRdl2AqhSPLBNptBg2D8Zs3EASBUrnM08MDdvf2fi8m/A3D9/3TJNfNjQ1atRp4Hk6/T9R16RkGjVgURInwyAiPnj/nwPdBCeCoKl61iuw4yIEAGVXl9RvXUQMBlIEM/vIyhqbR6/VY3twkOTqKJgj0Eglur2/g4yMPJ0iPpFjdETh7fRRlpEg1vokSrqLIFuZ2kOKPG4yOdoiG1tnfNbDtDOmRPn1FYafdQbH7RGwbNZEg0Okwcvbs6eczDIPW0RGSIOCdxMcf5vN0FIVAJAKGfpyW2engyjJts4c0MgKFAh8+eEC+aNFUwyjZFKFwBF0SMXsmvuOQCv+iA91sNvE0DbXb/VQBEggEmJuL8+yZRaFQIixJBAazdDqdz1wD0+k0o0NHlEqjHB7mGB7+9WzopkZG2O33WVhc5NLXTEz4Wfj49OHJ0yU6lkU9IGDLCr1Ol4AgkGg0uDY+TnBulh8tLNIvFhE1jYooIsoyiUSSkNlDGRri3/7sPZrtGN09HV3f5d/9xwBDQ7lTm9hsJoO+tERHlskV8pj1OoKugyCiJxJUnjw5tsgNh5EMg23dYk/uklZVRiSJgKZCt3vSgRZAFFg/POD+ygq+otBOZ/jZ2hrfPNG1LNYbhB2b8WvXXvrMj/J5Mo7DmU9oXQ4KBSxF4dqZM7/tr+UfFP9gBbTv++y32xytrDCVSjH+JdKN4rEYVyYnebK3x8Nnz7h+6dIXLqIty+KDDx5TrSawVQEvOU/zoI/oWnTaKQYyLpblIgY89LiFIJ6aS9BttXB6xwJANRLGOTwkMDDAwMlubWQwg7+/i9s36XW6eD6o4TCLe3uMj48jVqu889prvP/gAf4LLgUbG1sEpCGGsu1PXW+/32dpfx9JklB9Hxt458xFHj57hjMyzM/u3mVqcJClYpFsKkW05qFjY/cFOo6Dq+skgkEassz9zU08XcdoNLh8EhoAYPX79AUBUZbxXRfRraHGmgxqKq+9doVCKUa1WKBfr5NLJCjcucMbN24gy/JpUMiOZaGFQkRrta+VwOSzMH7SPfo4/rbT6fDs+XP2LYuDcpndx49pmCabRzksRUbSNMRA4KRLrSDpBqKiIBsGLV1HkCX6uQLzibM0yyMYgoJjQt0dwRowKfWryHqZ8mGQC+fmMQM2Q1NT5DcVbPKI4xFWN2qkRJG66yGJIqVyme29veOubDaD27cI5/PMhUKM/4r0qI+RHB8nsLuLoevUo1E2trY494nJdHxuDntxEe8VwpSP0bMsWuUyr78gQsnE4+RFkdW1dc7M/+LYWrEs+tksUrdL2DTJShITN258ahymUylYX2ez0/29mPBXxNLz53RLJQRRBEVBkGWGxsbIZLO0Wy2W33+f6MnRcFDXaDeb+IEAiizTliT0cJisrNDr9Xh85w5Le3v4gQB+OAKdDn6lQqfZJJNK8Zd/+IfMmX1KGxtUymVE10OXJYYQKCsygWKRUCSCH4uxtLREMBjEEEUgR8tu0G9KNJ4/QTLbaMM6YlhGSnVJiE1CUxm2Kxq2CSMjy9y6eY12u83frK+RmpjECkcQOh3qlQp3Hj0CPrYc97FEETIZ/m55mbokEZucxJAkQqJIxXEQUymcXo9auYw6Nk671WJoZoZGQKXqeHQaH+C0WmiigO/5WFYfz3GIatrpWC0Ui0TTacRi8ZXfw/T0JCsr91hYEPjGN2ZYyB3x/PCIb3ziNOlFXLx4lg8+WOPBA4tYLPJraQDGx8ZY/fBD6rr+te1Cf7xR3NvbZ3+/wuGBRaEwgCjMoGc3yAw2OZuNMn5m/iU3okg4zHY+z/NKBVE3kHSdsiQRjsepNrps3BZYfDzDeELkrYs7FEsjpEfT/PX/vs+f/4XA4GCWVqtNUIzSUCxcx8Xt9pBkhaHXX6e0tEQ3n0MIqMeNmHAEORxGDofI6Rp5UcSMxaDVPhYSihKiKHJQKPBj32cgleJ8o0FjbJyfrK1xJZ0m7zj8s6mplz5/rVajIivc+sSJZLPZ5EEuxyzHNdrXCf9gBbQgCFwYGmJhe5sccHD/PldPODq/CpKJBOnDQ5rRKEurq1z5Arvh3d09lpcbBAITTE0VmZoa5eHqGt54hN5ul2SqzGuvzX5m3K8oiqcCkp/fvYs9MIDbaHDmRKARCYYISRK2aWL1TXquQywcoRONEnMcLpzwneOGQfmF4qFcboHPp+golmXxwaNHSIbOrZlZ9g4OadVrGIbB26+/zvPFRZxAgKfdLkY8RkSRSaQc0sMBSqKIbPYRDB09GMRMJnFbTS7Pn3lJPOn7PvvFIrZl4fb7x348dg9J0hgbmySZTLKysYEJvHXtGo+fP0ceHOTnjx7x2vnzBINBhoaGWL9zB86eJVepMDM9/ZWaWF3XZXF5mempqS+tZg8Gg7xx6xbdBw9IZDL8y3/zb3j8dIlCJUqv84Td3BEHtSr7uRy2oiBqGuIJj1o66fQHbIez8ylSzhpDg3FEARDA6VlEgkHEchE9NICTr9CSfazsIEdqh5mARCqgUhsbo9ntonoeAU1judHEn5jAazYRd3Y5MzzMxJtv/lr3KhKLIRZL5Gs1+q0WlVT6pSNBgHgiwZpp0l1fZ+QVkfa+79OxLKRP8OjnZmfZvXObnCjxYkn+5pUr7B8eMjQ+/rk0k6FYjEYg8Hsx4a+AD374Q6L/+T8zWakeL7pBAyGgUsKnaBjI0ShzsRhrukY1k0GWJCJjY6iKwrmzZ0/nTMuy+J/+6q94XKtBIIBoGHiKjFco4DSbhCyb1wYGaAhweO4sufV13njrLTRNY3Nzk9VqFSwLqVym/OgReB5nIhGahQKWIFIaHyM+k0SKRdgWQQqHkQIBAoqM7ZjoEw7rkkByNERqpEXXUvnJ7duokkRwfBzF9xE2N7E9j9DcPE6jgSRAJJOl7ToYjkPDNFFyOc6nUgiVCgLHlnNBx6FRqSAKAiFJotszSYUMOr5Po9jksFSlPhBiZPRtUgMDOK6D6zgovk/khQ50uV7Hchze+iWJuDMzMfb3B1leXkFWPPxYjMYn3BNeRCAQ4Ny5NE+feiwurvPaa1d+rfEwlk5TFgRKpdIrT5C+ivB9H8uyePp0lYMDk0I+ie8FsewAAwMyMzNFpqcdJibPfKb+JxqN8vaVK1Rv3yFXq9IPhZB0ja6isPZX2xy9P4wQSFDfC7K6eIGQ6jExIbITGiT44yX+5X83wH/6T4v85NFFZv90iU6vh6hpZN9+i8rSEpX79xE1HTFoIJo97E4bqa4jhcMokQhSKISaTNLZ2z9OvDwREgqey0SphOr7LESj3LL7rA8M0Ov3sTyXg0KB/Xz++EMIApVOh7aq0up2+emdOwQkCd/3qfe6FFNpBkqlr51Tyz8ohSObzZJMJlleXaUgSXy0tMhIOMLM9PSvFHRw8cIF3r97l87AABubm8x8BnXAdV0ePHjK0VEESepy/rzN6OhxwZ0JhjjspTDGbaZD/S+cu64qCh1VJWTbp8Xi3Nws6ns/w+x2sU2TestEl0MUWl0SIyOnr4tFIpRrNRzHQZIkKhUZw6hhGC+n8zxdWkKMx8n4PqFQCFGA1NAQxWKRTCaDKAhImoYSiaDbDkKjiBONYsRCiPk8VjyO4nrIskLf81AQPhUPXigUKJk9PM9DEAQ818WzLcKKgnhSLFqeh+z76LrOm6+9xpOnT+koCvfW1piIx48TtMIh5KMj5IkJPrh3j7du3vzKdPg2NjaoCAKVhefcPH+B0K9ReDlATNOP/Y0HEkwYPb7x1r+i3++zsbFBrV4nXyzyw9u3WalWUXUdURBwbRsRn1Cgxvf+4E9ees/b9+/jKQpTw0P0mk3mgil2Dw9JGAZWvIW1fUChXQXb5igaxTFNJgSBiADW4QEDns/Vt976jdyrRCLBk24HQYCrN27yIJfj6coy7976RYdM0zS6uo7QM1/5Hp7noSYSOCdJli8iZQSpyTLVWo3EiZ1lMBjkzGcIqT4J23EQ1F+N8vV1xtraGrX33iOZzyPKClgW9E081yMJxxtu38cDsrE47/9f/xV2JIwhSUiuyw9+9jMiikJUUWiWSjypHxfPgqbhahqcOG7o/T5vnTvHn3zve3z4+DEFxzmmu7kuruuy1WgQnZ2lsbTEH/z5n59e3872No5pIgJCrUYnl8Pc38Pp9VDSaQRZAVFEEAQMSWA8G6ZRExgfNmhVju3DisEgJdtGsywMSUKTZdqdNv1KBSWdQnIcQr5H7+iIVDaLm0xScF18jt12ApEIVq9H3zTJjI1hKgqC43LQbLBTqbBtWYjTCVLJ86iBAGarSaNQxHEcNEFAeWGe7AlArfZL587JyQl2dh5TLIq8++4MC7kcCysrvPVL6FYDA2mCxkOq1WEODg4ZGRnmy2J0eJiDtTWWSiUGBga+FoXS979/j9XlFAE1RjDYYHSszNSUx+zs3K9kz/r666+zvrtLfn0Du1bBMnTsrkPtWQGvLyN4An4gTc8P46CxsQNezMcUZ9D/4z3q9Sh/+FaNexWJvu0z+M1v0qtUaK6sIgJepUyIJK12G9EwcDUTsdPBrteRo1GOz1O8kwJaPBUS3ms2ufzGm7iuw20PZFGgGAzRGB3lp4qC4B83P0Ugp7VQZZnbqooPGLKM53mUzB5IMnfTAxz9+Mf86cWLXxux6T+4iFBRFC5duECn0+HuwgLtcIgPHjzgrevXv/CAFASBm5cu8eHCAsueRzab/VRxU6/XuXt3FUmcIRze4I03Lpx2ntbXNzk8DKAE9tGTMdaPjhgczH5mB/pFBBSFWrHI6ycLt+/7aJrGxECGh/Uu5qHGXlNkMKVTLY7xzNnF6ttMTo4jAHOhMIeHh8iygiSlmJqyX3r/pwsL9CIRAqUS504mRgHQNQ3Htnm+uEhF0/CLRXSg6zjUAdFxSJkmB4EAXUFgxPMJBhRMXadVrX7qc6ytr9PxPPBOiCq+h285jGYjqPE4xWIRCci+IG68cvky5XKZ59vblHyf3UePCGSzZCSJ/ME+xsQEtx884I0bN74SRfT8/DyxYpFl1+XD58+ZOnFg+TKwPQ9BFrm38JxYJsvE6AiCIKBp2qkdUKFQ4NnWFtuAfLKJ+XiJ+vj48EX0bBurXCE+OorYaiEIArIoIgoCqigyOzzMzNQUvu/zXz74gPVsFtUIMn50yKHnc/Ub3/iN3StFUYiNj6MeHCKKIsF2GyedZm19nbkXxKVqNEq/0fjs++T7DCY/bZ00PTHBg/19FldXeecVXtOfh55pIv2abgRfJ/TabXrlMi1FIZFKI/og4SN4HjgO2A64Lrgu9dERTMPA9sD0jwtMBtK0ENh3HBqtFr5yzPe3gwbU68enH+021yYn+fN/8k94+PQpwYEB7LU14rOzLK6uYloWkZlp/FaTuU+c0k2ccNnX1tcJTExQsR1ytRpVUUSQpWPqRaeL3W6j1WrMXTJY3vH5qGaTzGSQ63UsWSatqfQEif74BH3PpWpZBEUBtVLBrtVoiSJOt4sVUEh2u4RPEjMFAMui3ukgyTJ9x6HX7fG8kGfDtgil0qRTKSRRottqUt7fpV2uYNZq9CsVEq6HerLe7e7uERSnEJTtX1qUBgIBbt6c4yc/abC8vIUn2nQEAeszxIRwfHr6+q0rfP/7qzx/3icej33pE5hgMEjE9/EzmdNmzlcdly+PMTLSIJMJks1+ee63IAhcv3iRQqvNs3IJUTew7Tq98hF4Hp7VQfBMfG8Az0/Sd1TErky/7fEftm4wnC7xF3/hsfWozOPhC3RKy7RWl/HxESWJcCjIv/5n/4xStcqHz5+zVijgR2Poo6OoAwOIpQBwzEsVBE6FhFazRTgaJSKerNc+x/76gQCaLBOW5NPNcsl2GEulkUUB8eQZEIDDUpHReOI4YKVSZnJj4/cF9N83gsEg37x5k43NTaxUig+WlphJJhkeGvpCNADDMBiORChFo9xbWuKNCxfQdR3f9ykUinz0UZFAIMboVJmzZ187nZhWVtY5OBAJBCq8++5NVlZXsQYG+OjxI964cvWUH/xJrKyuclgu46oqs602pWKJpysr7PV62Ah0Ihncmke/18fJrqFnh5HMHrmijrCqsrT0gFDIY9Lp4U+OsndUxvM0hoePu+e+7/P0+XO64TBKucz1q79I7xNFEdt12dzfx4nF8YtFBuNxSqk0qmMzvbPDWiRKYnYWHjw4XpwiETzPQ9F0Gp9Ir3Ich4NCAfu0ePbxHRfJ90iHgri+z9NcDklRqNTrlMpldE1D13VSqRTfiMe58+ABdiqF1+kQGRlhbHSUew8fok9M8NGDB7z5FSmiMwMDCMDS7i4VWaL97BlXL136Uu/VsyzUgQGcSoXEK8RsuVwRRU2B+DIPUgDCn1j0Op0OUjRKsNUCjlOtfB8mx8fZKpfpBwIvpGX59IIh0oEAcqVCQQmg7e//0uPfL4NYIoF5dESlVOLSuXM8zeU4ajSYeGGBv/o5VnKCKNA6+UwvIhKJoLTbdL+kTWLbcfCOjtA/4XDwe7wagiThRiLkKhU6pSKKKBKQZRRJQpFk1ICCIqookkhtcoKIouCJIgjCsR/6SRCEA5ihEL7r4kYi0GziNxq4jQZvX7zIX3z72ywuL6Ok0/SLRd65dYvb9+9jpdIEI2ECikJ9Y4NeNMaTu3fBdenkc5QEkRVdpyvLBEZHjz30oxGu/cmfEtV0dstF9nM5RF3HHcyyVswzHknT7AeJZ6AYUIlJIllFoby8wngsxm6zyUDQ4FtnzhB+gV7Rbrd5XiziWDUuXr9+LL5dXCLXsjBjQ3Q9k7Xtbcr/f/b+60eubM3yBH9H2DGtzdzcXEs63Z2a7lShr743s7KyskvPdGMGGNEYoP+GqX6cAfpxgJmHERhUV3fVZFZ16rw3rwpFrV1rZe6mtTp25Dy40y8ZQTIYgldyAQSCQRPHjth77W+vby1RxNvVRX8ojGBbNKpVqoU8zWKRTqlMp5Cnky8i1GucPHP6eGGpqh1aFYnTp7/43oxEwoTDa5TLUYZHOlTdLra2t19oaQeHi9v+fotyaYKlpTVmZs595fuiOx4nL8BuKvUHQaD7+pL09X29BswnmJqaIpcvsJTaQy+XaBaaYO2BIGDbHWxNRTCbYLYRnVFMOUir4mDHruNyeNnaXkPyirS3d6kvLvKkI1zABhtGx8Zw1Wr865ER7tTrpESR7cePKd26jam2EWwLnkgsxMMqdKnV5JfXP0UQhM/IL2yc/gDBeJxSKoUtClimRWpt5fA7BQEEAdnrxZYk0lsbGJpGK5djxe/nXcP4UqqC31X8Rn+hKIqMj43hTqVYzefZdLvZuH2bsydPvpIYPeD3U6rVsHw+Hi4scPrkSW7emUdt9uLztbh0qf9Yg6nrOivL62zvSHi9Bd59dwZRFJmanGR+YYFcNHacpPa8KoBlWUiBENWgn8R+mevpPe66ajhHhhnpH2Dn0UOIpbGEEqWMyJ3cLg7FgS3ZnDrVxdKSRb3WxVapTbuZwZJ8OJ2N46p3Pp+n4XKhpdO8PTNzTDgMw8ChKOzl8yh+P9FWE0tRyCkKsu3A3NsnXangsCxCoRCKJGG1WxidDrqm4fJ5qUrSM+lVnU6HVKmIoRuIigPbssE0UYCxwSEGYjF2UylKqkonEODh/j4er5d6JoNLFBnq6yMWDpOXJRRngIebm8SdTmYvXODO/fu4Bgd/rxwPurq6iMfj3Lhzh1ZXF/944wZXz5x5ZUlHvV7H6XTSNzrKxuPHuHw+Pp6bQ6/XCfv9iECzYdAodtFO14DD1b39hAJbFr3JZwfxXC6H4HYzdmQnJAoCggCRcJjdeg2XbbO/v8/4yAjFUglVlog7neidDheuXuVONsvmrVuMXL78jZHoYCjEltrG2t5mdHycZKFAOtHNxuYmky/ozs7lchxkMrRNE02WaXk8yPrzmwzPTk7yi7U1lldXX1m68QQG4HwqYvYNXo7hkRF2Z2fJlksUyhUcHE4WMiA9+W9BQBYE1g4O2FtYQHI4cIriYZy6JCM4FVxuN35Foe31Yjab2OUyeqXC8MgIowMD1Ot1VJcLI5vlg2vXsG2boKKQ29lBFMGdTWNd/xSfLRCvFRFsG1vViU2do/l//D8g+fzIsgPT1NENk3JHJVMuUcpl0et1RIcDW5Z5WG/wUGjgEiQCe076AwH63G4aaodOOMxeoYAhy1j1wzF5f3+fQql0mMbZaOAdH8cQRf7q/n3KBQeaO0yqVCdX2cWOyIR7e+kJBLBNi2ohTz2fp1UqoZZKdIpFtEIBvVRiMBDg0rlz/Ms/+7PjuWlnp4Jtt4lETr3Stblw4QS3b2/S2zNCdnmZXYEXWto9wfnzp/nZz26TSgWYnGzh9X61no5IOMzGxgZWR/uDbSb8Onj/vXdZ3d7i0709OoUiglhGsHQEktho2IaKZbbAbCN4VJwJL96+Nu0TJf6maZMY6kH/xc8RLBMk+XCesMHn9/OLTJpUsoeYLDMlSfSaBqfHxtjpdLi/sUlbksE+dBgTBBHJ5cTQNAqPHh0SaH6148lRGmyjp4fgwADFrS06lQqWeiS/E0UiI6NYkkSrUkEJBDDbHdSdXRxfcmz+XcZvfIkgCAL9/f309vayvbtLKhJhIZ0mkEpxamrqpQ+owKEm2crloL+fmxsbKMk4/lqBixcuHq+AdF3n+vX7SOIQXV1pZmcvPUOST01P89GNG1iJBI/n5zl7+jSmaZLP58lmixSLLWpVBcMbpm04Ocg4WDz4lNbkKD0+H7V6DdO20CoV0HUkSUQURDRRpBgMEgwF+M53ZlFVlbmf3CDgG2U530Wof5OPbt5kIJlkPZdDcTq5cu4ciqJgWRYbm5tsZ7OEhobwAt5mk6pl4UskEDUdpajgxKbgduNSVSRZxuP10qlU0JrNw5WjbSM6Xdx++JATw8P09/WxvrFBRVUPPYoRsG0L29DpDocZHBwkFosdR563221arRab29v4HA50WWYxmyXS1YXdbtPlllhTVdRolPmFBWYvXGBxeZlo71fX2v02QhAErs7OsrK6StPt5s7ODhHD4OwrVKNT+/sE+/rIpdNMDQxQrFQo1GpIXh9Zy0bxD1BoiAx41nF6alB/cn8fEmlZUdhNpZh4qsFoN5PB2dWF8iQZ82g3QRRFOo0mEbWDWK9j2zb3l5fxjY5iWhZdR/rh8XffpXD7NgsPHuCPxejv63thUMqrQjlyVxCqVXRdZ7C/n627d9kWBEY6HZxOJ6Zpsrq2hqpp1E0DVyCIoSiolQp2q4XSavH2CyQagUAAp6aRKpf5smZJFiD9/ks2vzZW19dJxOMEg0He++EPuReLUdzfp5xOk8/ncFk2UqOBXq8j6DqCaZLP5ag4FURJoq9cJqzpKAJYigIOB15/gMHeHoLtNkVNY2VigoHZWfRQiNuVCr09PdjAPzx4gPnpJ5y8/Uum2h0cooLoC4LPj+BQINqPbRqgtkikdlAWF3mU7KbdVlHbh/0nelvF0jt0ymWwDsc+ye1CdB76sbcdDlpYZFWVR7aN36HQ6/Mx1NNLRQBRkvjbuTmCfj8moJsmLp8XWRQP9fvxOGUzy15rA63fT7RrEI/Hi95RKR4cUCsUaJfLdEolOvk8WqkItToTXV1cfPddLl28yMmnFpONRgMIEgw2XpmMhsMhvv/9Q3uxke4EaU3j06UlvJaFR1EYHxv7XEObIAicOTPMnTtF7t+f5513Ln3pe+PBo0dUJAkUhS5JekOevyLemp1lLZ3GGhuidVChXawi2g0Mo4Ftd4PVwey0CE1liL8rUJmbxtQ95ANFcgtt2hn10BUHECUZ9+QkrvFxat1J3q5UqHg8mD4fosvFf332HOYHH7Cxuclf/uQnfDI/R1U3DqvHLjfqwcFzG/+eVKnrKys0xsboPnOG/bV1mtk0CCLxmRlEbLb/8n/B6mhIXi+eri4mL1+m7HRyf2GB4Z4e4s/Jt/h9wm+EQOdyOda2tnBIErIk0RWP4/F6MU0DZ71G3TDxjo7x0Z07TB81GAYDgc89sDbQcDiwZAlBUbD8fuKaxuSlX8kfDMPg5r17eJJDCLX0C7evLp0/z0d3H5CLJvnrv71Js+5G68QQxR5EycP4CQclfx2tKBIbc6NsNzDKZYRSiXSpRC2VorW3h62qSJKEJIqIokRzZIS5/X3UchlFFPGGZSJKi4AvT1hR0b0BNhwOrGAQsVSi1WqxvbvLQbWKMx7HEkVclQpau40WCiFWKsQMg4LTh5m1SHaFqBw0GXI62SsVGQ+FuH2Qpr67iy1JCIoDwaHw2OVie2uL6MoK7VqNlmX/6nyaFrZukAiHP0ei3G43brf7OMTiie/r9s4OosvF4MAAPckkN+/do8HhZ576PU0iEgSBkxMTxI504O2uOPcfPeLC2bMvfZ9t2xQaDcLlMr1jY8euK61Wiw9vzVPdzDPky+DT6miKgni0PcaR7tm0LFrBID97+BCz0SAeDFKzLNzZLNHRUVqtFk/GP1mWETsdpFAYudkilUrRiUYJyTJNXT+uMIRCIVbdbsZlB/XeXhbSaezdXXRVJeLxIAG9vb2Ejwj3q2Li9GlWHj8+Ppax7m7WVJWb9+8jCOD0B4j191Pa38dut3G324yOjOCemODGT3+KIr18Uu7x++nEYqysrDyzoHgZcrkc4XgcpVb7Nd4tv3vY39+n6fWykM/j3Njg4oULvP+tbz3zmocPHiDvH5A/2McyTXRNw2cYeE2TSquF7vdRcB72azR0nZrDgSsYoM/rJfT225RTKRRNQ1FVnOsb+G0LwzAI6DobDx4Q+fP/Ca9DR4kMIUSi2GobsgeYWhOro2IZGrqp07Esij+OsHn2HFang9XRMDsqlqZhdTqHtpwOx2Ey6JGrjezxHLrbhEIggCVJqDqUtDaPrTyKJOPzehh2ubBlB2KrRFySqBgGmUKB+UKBlmVhhUKEjnzKO2qb3N4ujUKB1pNqc6lEp1BArNcZjsU4/d3vMjMwwKXnyJdSqQPc7h683p2vdM2Gh4dR9vfJtNt0JAmpp4dbqyt4DJOuWIyBp9xuurq6uHxZxO3+cjKmer3O7fl5PIkEjlKJk0NDn2tKf4NXx/TUFDOLi9xAoNa9gtGsYpltJHkdy26hqT0gdXCENPR6AP9kh8qjC9hiCBIp9FYB0SEgRyJ4J6exWk0wTU6USvyz995jc2uLn3Y66IU8ntFRfF4vyWSSsdFRrt2+zc0H98nmC/i8XlRVReruJt3pIBgGUV1HsixqwSAVyyYuizhtSBQKJP/oR2zt7ODtdOgNBtEXFhiIRClVykSCASZ6ejiXSJBpNrnbbPJwd5f+lRUunjhBV1fXb/q0vxb8Rgh0sVzGFYvSMUx022atVMI62kKT+/oJ2jYBj5vOxAQLzRaeZpPK0hLY9rF43eaw2tbu78fo7WPINJF1nYKmHQc16LrOjXv38Pf3Y+bSXLx47vgYbNsmlUpRLtfJZBq02yKadoJC2kb29BFz7jMykicY8rGbXmfPniZbMpn0CNAxGIpGWcrlePTRR9iyjJrN0lxeBts+JNCSiENWiA0NHroK2DZCKESj08Gq+vD1eVDVNEKziWGYCI06yokTPFZVpGAAh6bRZRgQjbJbKiGHw3gaDc6ePcva+jptIhi1dbzDSRJ9/QQODoh6vbhUFYeh08w34GhhISgKutNJTXGQdih0ajWQpGPdk22aKLbFYF/fF+qWhKOtnaflGYqi8O7Vq7Rard/E7fRrRywW4/1olJt37tCMx/jFzZvMnjr13MjcRqPBQa1Go9Xih7Ozxyv97e1tVrMZnBE/o70ixq5GNejHFwxC+TNNn4aBu9FAcCi4g0HyloWjt49k+1fnW3qqgjAyOMiOqjIajbKlqiSTSTyiyJ5h8HSd4cTp02zcv4++uIjP76fRbuP1+aiYJrLDQTWbxdjZwdZ1wm43kiDQnUi8dPIMhUJcfvdd0uk0xVKZQq2KI9GNPH0Kc3cXVJXW7i4XRkef6TcwDIO4plH/gol5sL+f23t7tBoNXo0+Q0fT6FgmZ//ATP6/LHp7e2murVGsVpF6erl+5w5T4+PPLKrPnT/PfjzO9B/96LlSt+3tbcrlMpquU2y3Kfv9fPLJJ2Rlmd5OB188TiWbYbPRIAZM9PRQdTgI6zoPlpag3qI1OIwiyzTX7qNZBh0LVNOmZYJqCTRNm5YtkNrZpep0YWsdLE3H1nUsrYNogdvrpm1aSB7PcXCR5pARnS5cto2laYiyjNEJYekK3iGNjsPC1mQetFrMl0p4JZmwy4HaqFPJ55HCYSLxOIqi0KrVOUgfUC8UaBdLaOVD0twp5ImIEtPRCGevXGFgcJCKJHHpBf7qlUqDdjvHW29N8lXR29tLb28vhmGwsrqK1WjS8PuxTJO1GzfoDgYZGR4+7mF5VdTrdeaXl+m43XiiUcRikatf0MPwBq+G73/nOyx+/DGSZOP0WVg6iE4XsasnaRQF8vfSWB2b1o6MEtvGP27QPriMM+JAEA0QHMiBsxilAvUH9+j/l/+C6VgMWZbJFosgyfgCQf7zw4f88dQUkXCY7u5u/tmf/An/7E/+5Pg4dF3n/3H3Lj/QNLaiUb7vcDA9McH80hJVVWWxWqXp9eIMhZBkGbG3D1PXmCkU+M63vvXCAkur1eLO/DxLksTGzg7JpSUmEwkmxsd/L3qjnuA3QqAnxsfRdf1z/9+yLO4+eoTY308xnUYolzENA214GE8ggNBo4HI6sWybmmEg9vWhZbP0+v00DYOOKBIcHGRhcZFgMMitBw8IDg5i53KcPXWKQqHAbipFpd3GcrnweZIUdhSczjgezwDYS7wzJnJgaKCLmILBgWViRCawOgYDnWVaZSeSd4qTl0fIPf5H9st7HGR2wOc9bGSxTLo7KkXFRXdXhO++/z6TR8lWmqYx/+ABg26Fh40kcuACZkjDSi3gCoZpl8sY+Ty2z4c3GmUvn8cfjWILAqeiUWJH2qJctYbl7ifZ7UAQRUSXCzkQoJHP0T00hEcQqGkd0MFut7FFEcHhQFAUkGXUagXJ6TqscloWtmGQiESeiar9KvgqCZO/qxAEgauXLrG4tETO5eL+zg4Bw+DcZ6rR23u7RE6cOCSPR5hfWMCMRvH6A4xEIiS7u9n3uPDbNvbC4ue+S5QkHILAB28dejXXajVu7e8Ti0R+dTxPvb47kaC0uEg+n6M+MkzQttlbXMAceLbyFAqFuPiZCuMT1Ot1Nra2sASBqmlSs23C0SgrxSKPd3dxSRJGq0U0FEKWJMZGR7Esi/WNDbLlMoFkElUSUfx+xFIRyzRwqm0uvySoxdY0gl9Q8Q4Gg7iXl2l9iXvNtu0jMcwbfBFOjI9zArh9/z7usXHu7+wwcOTx/gS9n3HEeBpDQ0MMDQ2xtLKC1teHe3ubsWCQ1Xqdg60ths+cpVAp06o3SIdCuDMZPN3dVOt1BL+foiWwki/glSTKTZ2WaaECqi2gItDBRkWgLUBa05EyRdxiCL+ri76eXrxONz19TgIB0FSVD+/coWGY5GoFDFk6DLLwetBKJQTZgW22sdoysiuH6HZier04fT5auk5bNqmIAv5onK5YFEkUadVq5HZ2aOTzh44ahQKdUgktnyckCMz29/POpUtcmp3F7/fzi1u3cL+EMJTLDhxyHkH4+v0isiwzfbT7Z5omc4uLSC4XNZeLW+vreHSd7liMgVcIMdvc3GS7UCA40I++vcPEiRNE/oC0ra8boVAIn9OJLxrDtsHh8eAdHMTV20v4jJ/odD+Vh/copsJ0SmE8gyt4hjQETwwlHMZoNtFzOygTfbj7+lGiEVbLZYTHj9l3yHTXG5wbHOTHmsZfLizwJ1NTRJ+aL55G3TDwyzKhVpuu4cPG0FNHnOUtoFypcHt+gXt+P/26Rs3v58NwmJ3FRc5LEhee07Pm8Xh479IlLrXbzK2ssGyafKKqfHr9OjORCGdOnvy9INJfm0Bv7+yQymQ4OzX1TOfyyyCK4gtNx9+5coVsNstcoYArEsFVLuM82KfpcCJ4vZidDvVOByWRgN1dLvYkydtAuYyu69REEXtkhI8XFug9cYLS5iaarvOz+w+Q/D48oRBGu42r06ErrGJFKuRyPhTlHu+8O0YkEkFeWSGTSOCUFZylAFJNI9Rfx+cKMD01xcbGJmtrFc6N/BHnfRX++uZ/oeVxExobR6qWObmbYs80eO+DD47JMxxWaiVFoVmwqNW36PKFyBbBdo7RSQuEZBVLLRGQDDzlCmW1Ta1S4e3Tp4/JqWmaCL4YRjnPiauj1Op1TMtkqVqhb2SEvv5+BqJRyqUiLV3HFiUQBWytg90SD9vSBAEkEQGwTBPb0AkowVcaWN/gWUxNTpIoFpnb2qIZi3Hz7l2mJyaOn4VMpYo30Y3vqLI/t7CAEYlS3tri1Ojo8dZWb18fqVTq6FM/S/fszw021lO2duVKBempnQNBEJiYmGB1fZ1uw8Sxvs6Bbnwpk3u/38+5z+i7NzY20FUVlyhSb7dxBYMUTROn08nPHj5EEkUURcHl82GXy8xMTx83NqXTacLPCU95guXFRZKRCJVX0FWempjgxuYmd+/fZ+YzUbPPw3YqhfsPwDHgm8SlCxdYWV2lqOukDAN7Y4PxF/jtP0GxUGBnaQlVEKkGAzg3N4n7/fR6PKzm8xQyGQYnJgj5/bTbKjulEn3JJHK9Tsc0mXj3XT66cwd17zDwoYZNSxAxvV6ESARPKI4hRRk6eZJQzzimI4YoCXg9Fm53g2DQydBQ37HcDOD73/42i0tLPF5fZ7tQYOfggHqpjJrJIDpdmKaApfkQXQeIioLD50VKJNCaLUSXE09PD16Ph2a5TDWfp/mkMbBQQCsUMMtlvIbBpeFh3rl8mcuXLj07D7rdyC/YmdvZ2cXtjhONFr9xT2VJko5DxjKZDMvZLA2/n7RpsnnzBolQmMGBgecWPe48eIDY1YUgSXgqVS5+BdvIN/hi+AMBrly4yKfzcyjBILLHg20YWGqb5MkR3hvt5aP/8hNWF8doCRFMfR0XNtFr16g9ekinmsbpv4gj1oNja5u1yUlKXi9VVSKpG3yayRD3+1kURf7z0hL9lkUyGj22YZSO8h9kh4OGpmGKxnOtfNe2tsgmk0wV8rx74gSZXI6/zuVwj4zyQG1TWlri2ydPHvvzPw23282lc+e4BGxubXGzXOZDtc2tmzfptywunjhB9+/w2Py1CbQAiOEwdxcXuXTq1DeS8pVIJPD5/NybnyMwPEx5c5OLo2PcX1xEGB1D31hnzOGg/2hLfPPWLSSXi6tnzrCwtMRBW6WYSOAFrHAYymW8pknS6SQeieAfHKTRaHD79jLtdoLe3gozMzPHmuBCpYIoyZSzDbRaDYcvjdSKMDQ4eOgcMj7G8LDBg4eP+XBlCxJduG0b3enC1DoUHQ7OR8K89xmf3Xa7jW5ZrDdsfGMeaq1N+iQJK9aFwyzSbhkYhpNswUN3woNLFDB9flY2NoiFw/T19rKXSqGLARz2NopyOKHVajVGBgaOtbU/+O538Xk8rG9tka9UqKsdzKOmAFsUED1exCe+j5aFrekkotEXLmre4OWIRqO8F4lw/c4dnEND3JufZ+b0aXw+H7IkUdMNgg4HH966iZLswdh5ljw/DUkUEYSnu6HBNqzjpk6ApdVVnF1dLGxs8Hh/H8HrwReOIDyVclmpVHA0mvRXq5TKFZShQepfc5Ie/QyBeuJNvbW9TcO2ETodrpw6hSzLnyMEyeTLraDURoNMrcbgUxHeL0IoFMJtGKg9Pfz07l08lsX0xMQL3UQMQaCSTuN8Y2H3pTBx4gQTwJ3799lxudi5e5fhSISR4eHj66uqKts7O6SLRWyXC9HrxajV8LTbxGs1pHqdCx4Pj02TcrVKZneX5Pg4pWqNtqZRNA2GRkcxDYO9B4t0/av/M9WHi1QLe3SfSBJOurH8Cu7TpznhDbF+R8PnCyFJiwQCGl6vk5MnJ19IQH0+H5dmZ+np6WGhWOBSoUDG60NbWGBubY39aoVaK0hbbCB5hMMUN0WhXS4jKwrR4WEcpsHe6iqtbJZOoUinkIdqlV6vl6uzs1y7dInp6ennHoNu28ReUFhqNts0Gjrvvfd6e0a6u7vp7u4+st9boO10UXMqPNjcRNE0EkdV6a2tLTYzGZR4HHt3l7MTE0ReULV8g6+Her2OIEn0ej2EZZm6rmMZOmKngyXL1GtVDFnmu2fGuLb9M/7Ofo9aYw11bxfP6Cihc+cp3ryJVs8iHFxjuqvKZb+fn7RaTFSr9HsP7WhtTaPLslhstdgcHcWybGrVCrYNiiggulzogSBbrSY+t5sPl5c5nUgweFRM+/TePZYDAQaLeb596dB8IRIOI0syPysWmIpEeNxuUVpe5rQsc3Vm5oXP4sjwMCPDw2xubbGVzbIIbO7tMbi6ysz4OD2/g97R0r/7d//u332dDwiFQnQqFVqKg92tbWKh0DdCxBTFQX9PD9nNTSy3m1ShQECS0G0bZ7vN6aMBSxAEJNum43ZzsLGB6fHQ09eHUamglUrYnQ4T3d1MnzxJ9IgkFgpFPv10n07Hz+hoh3Pnpo/J89b2NllRpLuri3Jxn+Gkg5oiIdXrz1RgLMvi01s3ubO9gYl1aAsjy+D1QLPF93r7iJw8icfjodVq8eDxY7YrFYR4D4VqgH5fgavnztIdj7O5u4vDNnnnrUuMjXUxPOijXcih1WoQ8KM7XWTLFTbSB2iCgMPppS8gE41GaLVapMtlpoaGjquUiqIwNjrKhXPnSMbjeGUZU1XR2m10XTvUBDpdYFtYWgc/Au9duULi91To/+uAIAgM9PZS2tmhIgik6zWq6QwC4IhG6bhcOGQHVjbLO5evPFcvXa1W+fTRQ9KtNoLiPNT6myZOQeRkIsFeOs16Pk/b66Vi2zhEEbfWwWMYtICIw0EwEMC2bR7/8kMMp8J+vU6r0QCPh5LPh57L0R0Ov9Ty6sv8ZkEQUFWVUq2GbZqMDQ19pWrawfY2ZqfD0KlXs/IKeb1UUyk6pokVCLBdLLK+uYneaiFL0jP66q29FLIgMPJmh+UroTeZJKoopMtlhEiEraUlmrUm9+6vs1Upo3udmJaFx7YZTiToisfJAyenp+mZnqZk27RUlVSljCmI9A4MolkmrU4HtdlCVoJsbEsUqgMk/XWmZqIkxgdIDk0TSl5EDk7SLYfJqw3cYgsMF+FIm4sXzxCPx17pfqvVauwUSrh6e4naNn/6/vucGh1lMBaiaA7i7kgoWpZWvYjocqHV61iaRjyZxBkIUMjlaKVSGJsbjHu8fH9mhn/1x3/M97/7XRKJxHOPYWV1FSMQQC0UaDSbzK2ssb1dYnkxz+JijkpZQlFURkd/Pal+wlEPw2B3Nw5NJ5fNQiBAS5JY39yk6XSiqypdksTshQsvzER4g6+PldVVzN4ekrpBtVAkU68fyixFEUGWEUQJ1esh6XIRjkvM9tRZcMmo5TLBM2doLi/jGxnFqBeRnF2MOAfAV0JSHFwIhzkzPU1fMkl/MslgTw8xSSKdTlMqFvn20BDXJk4wmUzS3t+npjiIhsNE0mliisJAby9Op5OP791j0e1mvFrlW5cvP3OPRiMRxl0ubmxs4PMFCBk6mw4H66ur9AQCeF5y74TDYUb6+jiXSGBms+wJAnerVTa3t/Ca1nMr2b+l+O+/NoGGwxhfvVql7Xazl0oRCwS+ERL95IGPuN3k0mk8Q0MYLhdWuczAUzo8v9/P2tISzuHh4602odnkXH8/6UyGsiSR2tgkGg4zP7fE5qYDQ69ycSbC2NjIM9WUOysryD09VLa2+NaFcxRKJfAHGAgGCT4V9728vMzP5+epCQKSw4FtmuiVMmarzdkrV5g4eZLNnS2yhSJblQqmx4NZqdDJ1hB1nZmLIyiKgizL7G1v0xZFBhMJJElClmXisRj9vb1sLSwgOByM+Ly0ymUarRaWYtEXDOLz+Vjf2ECXZPpj0c9t84uiSDwe5+TJk5w/e5aw348LgXalimlbYJh4TJNTg4O89847b2yJvgF0xeOEFIVcOo0Qj9NsNmkGAtSrVVz5PO98ZiB6GvV6ncXtbXaqVSSXE9HhQPF58cZinDp1GtnpxGw2sFQVoVrlBzMzDPX1EwmF2CuXiSoKwWCQ+UePiBWLeM6eoZPNYPl8WG43uqLgaavkWk0qudzXWjBpmsbm1hbzKyuYbjddQ0NUs1mGXyLTeBFM0yS3uIjgcpEcGXml97hcLnqTSYZ7egg7HLRLJdqWRUtR2C+XSe3vk0mlUBwODuo1ZMti6Csc2xscwrIs7LZGeqdFzTtNtRkh5I4j6CnGu2KcOXGC/p4eAoEAjWaTYqdDTyCAy+kkGosh2jYLm5u0LQtvKEg4Eiez02H30wDRehfOgEL/ZAennePiqSlOnBgkV9xESYgI5TValTTUXWytuzCNGJpToVxaotlo0Go2X+plvrSyQto0sWo1kqkKLVPnxNgI0WiUTDZPSRnh/OAA//yDYSa6E8gWlMoNOqZGuLsbfyJBqVTEMi3emz7Fn167yg+/9z3i8fhLiW82m6OithGcTnRsHC4P7WoDn0fE77cIBHVOnkw+dzH9OiEIAj6fj6H+fnojEUr7++iWhdRs8u7s7O+tY8JvE9LZLAVFoU8QGB8cYHF1jbZ9mCooiiJIIsgyg7UazUSc3tVlhEiElNeDu6+P3oEBBLcTORzC6WtibQ2jjbi5FhSZeo47USgU4kQsxuNCgYxp4qzXiUWj5AsF1iwL0aFw3uvh3KlTdDodPnn8mLVQkOlanXcvPd/y0OVyMer3s5nJ0HS5GFY7pA2dR+Uy6sEBhqYRDoVe+IzIssxgby/T8ThKoUBLEmlVqoz+7hQ6/vtvrIlwbHQUe32dQjjM3aUlLk1PfyNyDjjchntrdpZHc/MU/T5kxcHm5iYjR5OtKIoEPB6KloVX62B3JXBXq3R1dfHtaJSHjx9T9fv42fIybkcMSTrghz+68Lno8Afz8+j9fdjr67x34QKCILBTLuMul+l9Sgemqiq/vHmTg2YT0ec93GbXDcxmi25ZZiAQ5KDRQPX6aCsKQVVlLJkkNj7Of/7P80TC9WdW971dXaRFkXyhQPKpbQxBEJgYGiItCLQqFd65evXQ03p+nrVMhkgkQr3ZxP2U5u9FcLvdXLl8mUuzs4fd1QsLqKpKPBbj5MmTfxCpQb8uRKNR3r9yhZt37iL29WLaNsFsFneyh+WVleeGiqTTaTL5PILfj7e3B9l7OKlqlQqdbIZeQ2dq8nCr+qfXr2N/JhREsyxsDt0s9J0dDmyL2b4+OnOPEQYGyDUa1A4OuDYxweLGOlpvHx/evMnMmTN4v0RDXjqdJl8sUjN0POEIks+HWihQKZWwX/lTnoVlWQRMk+pXaEIVBIFQKMTshQvYtk2tVmNlfZ2arkMoxGKxSHR0lM7a2mu95r/PmJtbZG0VRCmMJO0Sc87RUsA7PIyw6aCnp+dzk+TTGn2AwYEBxuNx7mcrbN5O0+McYefH41QrFnv2IteGdRzSFOHhEdLpNLlSCeJx7GKBd9++fGyfubCwzMZ6GMsIIkQiZAGfy8n6vXtIpkkyEiGZSOD3+1GP7BPtWAwtm+V7167xF//PT+jyto/jr3ULDE0i5LUZHh7k3LkzuH52A6vRw/Xsh+iahigKSJKM6FCI9PXhOorz/iJMTZ5k8jPnQZgUfi3V5leFKIqcOXXqDy4UJV8oEDvSA/8mYAGGYaLIMiMnTnDuwQN+trFxuDusafgrVUZSB5TCQU6Ew2y+9w7Kz39O8O23Udxu/JEwzZ1dzHqTUE+UkFLHXozSf+bFO4tut5vv9fTws1yOD3WdQDZLW1XR/QGaB/t0nzqFbdv8bGGBQijMVLnCW1/guhIKhfjjyUn+Zn6eiizzr8+f59P5eW673ViFAv9bv5+uL/CCdjqdXL54kVnL+q16Nl4F39gTY1kWuWIRq1RCCQW5tbBA7Rv0XRVFkcmJE/hVFYcoUvN4uf/oEbZt0+l0qGgaPrcb1+AQ7UaDkSO9oyRJnDxxAqHVIt6TxB2RsDwm6XT6+LNt2+bh48ekvV7knV3eOXsWn9dLsVjEFYnQl0gcDy62bXPn3j2WSyVEtwtBlLAtC0tVkdttLo6NETM0LJ8Hp2Eg1utcO1rVHxykCSdjjIw+qwcdGR7GbjRY297+3O/uOorSzFerwGEs61hXF0ooxO3790HX0TKZVx78RFEkGAzy1rVrfPtb3+LMmTPfyHb+GzwLQRC4MjuDmclgmxZ+t5tGLku2VjvWDgOsrq3x9zdvst5oUHO7UW0brVqjncnQTKVQi0X0RoueZBJRFBEEAdO2n7GtA1CONO1L8/NELYv+mRlWFhdxSTKKy4Vh21i2TTwe593LV9APDvD19nJ/cZHU/v4X/p7V1VU+vXePVKtFS1HQ2ypRQeDq1BSXZ2YwVPVzx/RlzlXN5aLra7rACIJAMBjk0sWLfOvSJc739OBqNlE3Nuj/mp/9h4qdnV0ODoIEQ3UuX4Y//uNLvHX1ApfHx6itrWIkEvz09h2KxeIz7/NyaGn3BMFgkLHuJFbKx/ack/XbBt0hBz6nwdJiGLVkcHCjSLXgZK9Ww45FEQoFZs4fevoLgnDoMX9qEq9vH7shUF0rMSzL6Lt7CJqGIxol73Bwb2+PX9y7x53VVdp+P/5mk+9cvYphGNg+P4M+L0uPHgGg2SbtsozW2jluqOvpDiMZYbAk2o0mgg0Oh4wgibR0jczRWPxFeHLMT//5IoLQ6XTY3dt7Zoz4deAPiTwfpNPc2t2lVC7/Rr6/0WyyVquTqdX4KJvh+r17jA0Pk5Qk3JUKI2trvPvjH3P+lz+HjkZ9eRmnpvOh14tpGFiWTb3RoF2v0znYx+hoREcsHD6NO/PLmKb5wu8eGhriu8kkQqnEX8zP09A0ioaB/8gV7X/++GMOFIX3HDLXXuKY9DRCoRD/9to1/vmlS4TDYf74nXd4y7Jw+P38p9VVPrp1C8uyvvBzXuX5+G3DN/bUPPnxHUGgSxBxBALcWVo6Slr65uCQZVwdjebuDnWnk1/cusXG5ibBZPJwK9fhQC+Xj71LV9fX+XhhgeTEBEI6jb9YxJZlNpoNrt++jWmaPJybI+3xQD6PX1GYW15G13WWNjcRVJWhp7YUCoUCd1dXaQnCoWYJG1vTMZpNJrq7uXblCmcmp7AaTcITEwhPDYSbqRSmM0tf37OTuSiKiO02HVn6nL2fw+HAa5rYun78b8lkEiufR+pKILXbSEfhLW/w2wVBEJA6HdqmgSQInJ+YIPgZaZNuGAQlCW+jwbDTCaUSRquJ/dSA43AqLK+sAIdyB9O2UT4z4blliWqthr6zQ1px0tvfT7taJa/rDAwO0tF1lGiUn376KVvb25w5dYo+RcFWFHYqFfafQ6LT6TSP5ub45Z07VCQJwemEapULQ0O8f+UKgwMDx/edDV950pdlmbPf+hZ93+DWnSiKBAIBrszM8NbsLP1v5BtfCQcHJUyzzAcfzJJMJo8nuEAgwNuXLhFtNBAcDh7nC9y4exfLsnDIMrGdXfRmE+A4fdLw+Ri90I9dq2Bp+yR7wOOW0XQvm+seAs4c6SUHWvcw7XSG2aNdwKchCAK1mo3HcwfTjLMwn+XU5CTvX7nCpcFBTvp8uFst0HWaLidSrcrFc+eQJIlsNksg3EPO1YG9PQr5PKppYZkibrd5vCOZTCaIBX2gC6hHDhqy7ABRRGu1UV8juU0dHLBVr2MYxm/60v/ewuf1ogsCqxsbv9bvbTab3Lx3j//fw4eIioMfeDyEdYNFy2LB6aSnr4/R9XVG5ueRmg3sTofo3h5WW0Uo5DEFEXcggChArVxBq9dB0xgOBnjX6+DamRLb0SB7X1AQGejv57957z38isJDoGXohGSZ/zg3T1mU+FdDQ4yPjn4pMit+Zke0OxYjout02zb3JIm/+PhjOp3Or/V8/zrwjS47T09OIjmdqJpGj6LgDAa5u7REvV7/xr7D5jCZ7a1Ll0gIApLPh9HTg21ZiJaFYVnIXi+tVouPbtwgK4qMTk2BrqEb5mEaz+QkcrVGw+nkH+/cYV84tHSJORxIfj+xUIhCsYgdjUKrdUwSLMvi4xs3WCuVEF0uBEHEMkxMVcVrw4mxMRa2tvhkbg6x0yFTqRwft6ZptARwGZ3nyiWmx8eJqB3y+fzn/q0/mWS42SR7VDUXRZEzU1N0mk2CsRj8AVUPftcQDQaROHQODIfDnD979pmBaXpykmuzs1w4fx5Zlg9tCjl8g8ChG4clilSPBp96vU6kv/9zD64syzgVhahp0Xfm9GFIjmUheLw0Gg2sUAiPpoPbzbau8+HdRzQabS6MjGA0GlQcDu4/ekSpVGJre5sPb9wg1W5TczoRDAO5VmPmxAlmL1xAUZTPDa42NvbXKB5IR8E+b/Dbg7m5Jfb3nZw9G31uhVIQBKYmJ7k0NopcrUAiwc/v3qHZatGu1dCbTW5++ikf3bxJTVHwSSJjchOlVaRSzmCYbWIxBQGFlZUQFha6BGragWU933JxfX2DgD9A/0CY7u4KWifOjRvLtFotZFkmGo1yeWaG9y9fZtyhIMbj3HvwANu2MU0bw9DonhghEQiysbCAhonbafN0z5PX60EWiqB5MToqgmEckmtRwDINvNEI+ULhtZzz7YMDbMN48yy8RgQCAcS2StMwfm2V/kajwYdzc2x5PPSLIn928SITY2P803ff5X9z/jwXJYnA4CDFf/IndCZO4rQNVEEgurVJXRRJ3bqNGIvi8XqIBANouo7RbtN34QKnNI3JEyeYPnGCULnM3VTqpVVoODQa+JezswRMk4ZhMK8oNAYGiDoVbqyt8/efXmdta4v17W02trfZ3N5ma3ub/YODV/vBggCGwY8uXOC7Hg8S9itVoX/X8I0KX/1+P3azSd7h4N2JCcRUihRwc3GRy5OTBJ5qwvuqOCQVh4PLyYkJ+ppNbu/u4gwGKVkWaiaDx+3m5tIS/vFxXKJIYWcHWVV5+ymruneuXGFtfZ3dSATF4UA+OMATj+PSNErVKhnbplEo4I9E+OmNG0z091Ov17m/s4vukBFlGdu2sDQNs9kkMT6OOjxEXTjaqtN1XKaJEAhQqVRQOx2coRB9n9FdP4HL5UJptdldXKTnM9vN/QMDh1HIS0v09vcjCAJer5e4JKJaEpb4pvr824on9+sXjdO6rpPJ5ynWGzwdiyII0DFN9m2b5dVVPC4XbVVl6qlmO0EQ0NttsGwOXE6uHDXY9oyOUqlUWFpdxTc8grC+zvsXzpPL5XisF1lecfLw4TbBkERhe5fw5AmWDtI4XC5knw+hWuXy9DTy2NirbfH+ened3+A1ot1us70tEgxW6O19eUrek2r04vIyNVFiq90m4XbjDQSwurpQslkCe3tEmi0SMS8Pegosb1XIZnN0dw+Sychksm4O6r30d9dwt4No3j7SmcwzPSEA1WqTttrhxInDfoBW6w6VygCffLLI97//K72mIAiMDA1xcPs2Wk8Pi0tLeNxebBu6El0sZdL4KhVcXX34vA16en7V+e90OonHwS2G0DsNTN1EkV0Ikky90yEQOWy+ir+GOOuGKBBpt9/0pLxmuAHCEXRdf+0SxtT+Pje3t6lLEj+MRkmcPHm8QBIEAYfDwey5c5w3DP78P/xPsLtD0lCRRNBLBpHrn/D/7u7B2dWF4lCQJBm71cbh8xELBjjpO7RJdLlcnAwGuW7bfHLvHu+9oPnvCVwuFxfDYXYFkaFmg8jODpptUbUsBJ+PT2o1KoaBaZootk0k3oXZbKJ+9BGyIOCSZTyCgFMQMDSNqSNuIgKFchmHICBJEqemppg0J34vd8m/8af01IkTLBwcsLS8zOlTp7C3tsiEQ9xdXubS1NTX7ji2OCQVT1AoFBBNEzmdZlNR8AgC6XodKZHAX69Du42RzyMDuY8/PvzRgkB3NMp+rYY0MEjM4cA9NERuff3QHiwaxc7l+MHsLMurqxxYNludDqurq2S1DuKTZifdwGq38ShOes+cQRNEsG1MTcM2DWoNg6lgkLuLi0iA6fXS91QE9tNwu92YoSC+fJ52u/1Mk6EgCLh7e/EVi7RbLTxHzZkTJ05w/8MP6fj9VKvVl3aiv8FvBk1Vpe3zUVdVms3mcxtrNzc3ubO6yoNWi2wggFg2EGyOQ29CI8Psj4zyl2qb4F6KvniMVqt9/H632027XCYlSbz7ve8dD849vb0giqRSKeKiQEOS+PTOHQRJQvGLyEqORHiMvS2BmLtNu9MhKUns7+4yPDx87Cv+KrBtvlYF+g1+8/j05k3CwSBTk5Ncvz6HKEY4ffrVvLMFQWB6cpKBep0HCwuYoSCqJKFns5yZmjomKZqmMZWpsLnfpFg4IJnsIRR2kMkoLN5qk/xgBd3VRcPwsVjb+hyBbjQ0PJ5f+YxfuXKRBw8W2dsNPveYTk9McGd9nZppEm0ZKEr4sDn79GnmHz2m1+0j7zbp63u2L8XrEXERpanXqG0bmEIAURSptFUy6+u4RZFv2r05k8kQisZwf8OyxzeAW/fucerkyePxd7grzoJp0my1XhuBbjSbPFpeZkGWCUoSfzQ6+tKGOlmW+eD73+M/3LxJp9UmKVj0WBr5dp1Ubw/hSBSHU6FcKGB0VLyJBDEE+nt7jz/j1NQUu59+Strvp16vvzDcrl6v83B5mduGwZDDwQ/Hx489v03TPHTd+UzVZ25hgZamocsyLdME00S3LMqyA4Ihbtfr5HUd07LwKwqhp4ja7yN5htdAoGOxGNL6Bnn78AKMDA/D1hbpQIC7S0tcmJj4WpVogWcLXXvpNIZtk+zrY69WY7vVouN2E7VtSqYJDgf09v6KkAC2bbFhmhS9XqRSkT6nCxubtt+PQ5KQy2UMTWPr+g2ckojH4aBerTK/v4/odCJIErZhYHY6mPUG/bMzCIDeaGAbBhg6tqbTNC0kVcXq7ibg9VLf3HzpwxpNJnF3OqR2dhj/jFPD6MlJ9n/+M/K5HINHJNyyLCIIjPr9rNy9y8wHH/xBNYP8NkNVVW4/eICVSBB0uTAHB7m5vExYkpgYH8fr9VIoFDjIZvnbxUWWDAPT5aTr5AQuyyS9tkG7XsMdjeHs76fZaiJHolSjMTK1KmupFF3ra8wMDeFxuzEsC1c0yvV79zBtG/OoaTDU3w99fYcNsYkurHweUVWRBQFJU9Gz83Q5e1BzbWQ6FBsNRg2TSlvl0dwcZ4/SzOCwSt5sNg8lIUe7ca2WSipVRncksGyTW7fuMTt7/rXeh6qqUigUqFSrVJpNuiMRxsbGftOX/Hcelg0VWebjm7ex7X76+op0d3+58+r3+xkfGiK/vIxeLHLtu9995t8VReHcuQk++vATisUypWKBRLyHYtHB7pZM6YxMLO7AK+6hupPPVKFt26ZSCeDz/ar5SxRFOh0dj+f5tqmhUIiLIyPc3NlBdg0glYvHO3iXrl5hL7XP4HAbgWfnpDNnTuD+uyJVzUTX29i2D0GSyDcamC2VhuxD1/XPOTl9HdSbTbAsTk9Pv9br/IeIPU1DWFnh0lFyaTwWg81NFlZXefsLKrVfBbVanX+4O4/aHWCsWuedmYuvdK8kEgkGrlzmYG8Pt2mgSR4+iicwu7txetwYpkWrWsHh9eKu1hgQxWeKMoIg8P758/yP9+/z6dwc3718+Rnyats2t+7fZ67ZpKo4iXV3E0qlngnMkSTpuYT34lFD72eh6/rnJCOLa2ts/pobYX8TeC37RP09SbZrNTKZDMlk8jC5amuLtCDwYGWF81+DRIuCgP7UhXErCn2RCOu7u6jxLrR2EZei4DYtTFlGPGrGsDnSaQImAo0j26+ALFMxDTq2jVcUsW3QAwEIBDEA1TTYazZp6Dr+kyexdncwdANL1zEaTULhIKFIBL1UwtJ17E7n+M+wKDIwcYLF3T32E11c+IJGpu7ubu7OzUGj8TkCrTgVGi4X5YUFBp4Kq1CbTdYyWfqBrY0NRsfHX8clfYMvAVVV+fTBA7y9vWi5HH3xGJ18kUa7TTvZzfXlJSS1Q7bT4aN8jpok4wwE6I5GiAVC1At5Ck6FdkMAQaCdzZJTVSq+DO5gkHAshj49zVa7RaHehp9JDJ4Zw+E2CLtcFA8OcB419bokCXlvD6co0ELg/bNnP7eI+8lPlpEkA6vZxIpG2d7f52Q+z34wwE9u3ADbxrAskCScLhe25cUsurFNkB0uOh0Rw24Rig9gq73cunmfy1cufKMkOp/Pk83lqDSbmLKMPx6n43ajVavPjSN+gy+Pty5f4uNbt2hIk7SNLFfHhr/S57TaLRqJBOEXaB6Hh4eYnV3j7/+hRr6QIRbrIuB3UCx6WFuXGRkNoOtpajmVW7kMP/phBEVRaLfbIMp0dT07d1QqCpJUeuHxRCIRYuvrNFe3sQMqTudhINbh9rmM4v+8XlSSRCYGoxwURAyjhaApWKYTXXXicnjo1PrY308zNPTNNb7uZ7OoHs/vbbXuNwmDZ60VQ6EQNJvUnE4Mw/jGJDPNZpP5uXV+/nPoHfbwvekYXScnv9RY+Pb3vsd/eviQ5soybUFkMx7D3d2N5HDQqFVBlDCKOeI+P4FK9XMWhF6vlxFRJNfTw97+PkMDA9i2fSglWVtjy+ulXxT5o6FB/ufdHa58zQRAh8PxucVBW1WxX9FVw7Isdvf2+HRxkRoQdrm4ODDA8ODgC69LNptFkiRir0FG9WXwWgh0b08Pe6USS5ubJI4s4IaHh2F7my2Hg7vLy8xOTr5we+FlsO1DEv0EYyMjLCyvUA8EcAsCRqOBCHTUNrbbg2yaCLaNIIqIgoAoSbRtG0yTREcjtpcm399H1OVAEkRs4ZBsW7ZNuVYn31FxBIMMdifxud0su9xk5h9jqSpmvY4n2U2nUIAj0oym4XE6CXm9XPZ6yeZyuOMxvOUyvV9QJXM4HPi6u3FmstRqtWcWGU6nk/jEBI0HD2k2m/h8Pur1OpIAY6emWbt/H3FlhYGhoW+0KvIGXw7LKysc1Os4QkGSQN3tRhQlSu0WV8+fZ39/n0ylwi8rVdZME8HlJhoMkIjFEA2T7YV5Mjs7tMtlzHYbo9lEq1Zx+HwogQBqIEAjn8cTDuGPRLFdIVZvBrj1S5PBwRSnxgtcuBAnGPSRzWapt9p0BwJkymWkWJy1zU1CgQCxp6LbZRlEsY1TUXAlk3TcHlY3NxjO5dHDIcrNJk5JQkTAYRicmup95hlUlG5+fvs2amsRWXdjmUN89PE93n3n4lcm0e12m3KlwvrODpoN/kQX9pH/rlCrEbNtYt3dOAcH3xCObwiiKBILhMkuZQgPqdyYn6cnEGBqcvJLfc5eJosSizHwAutAr9fLyGiIYKBIvVGg0awSj4cplU3W12xmZjbweDzEQzVKxfNsbe0yMTHG6toawzN9OOu/sszrdDpomoPBwZcvomZmZviLxetEygfUalPPjq3PuX/cbjeKXaH6KM5BxYlX8pPaGkWv+SjF6oRCTba2Ct8ogW6KIh5VfaN/fg0QnmP9OZlMsnmk8f0mznm9Xucff7LO0uIQZ86u873vn/lKgXKJ7m5Grl1jc2ubqiyhJRKEg0FEScLUNExVhVKZSaeb/r1d2q0W3s9IY6+eO8dfPHzIHUEgHAxyZ2mJR4pCVJL4ttPJ6XPnWF1fJ+T14foGQu8+i6am4XjSfPsFuH33Lh+l9iiGI3SNjuHyePjb1RX+hdtN73PGkEajwfVslli7zTu/jwRalmX6QiEq0Qirq6ucPKqmDg8NESgWub25ya3FRa6dPv3lq0fC4TZEoVBgeX0dMRREGhrEo+sEdZ09y6JaLiNaNoJTQfR4sGr1Q920KGCKEjVBIFSr416vs9AYxjNbwA6axyQb26YgSXQ8HuLDwyRCEVpqm43tLVpaB9GhYNQbCAJUOx2kSo0+v59wPE7Q60WRHfhdTpRWCzUWQ8tkeOvMmVdajfWPjJDd3WV/d5fAZ2KN/cEgrWCATDrN2Pg46f19/LEYkiQxfuECtQcPeHz3LhevXn09d8sbvBCqqrK2uUFVUbA1jZHubvr6+lhcWkK2LMLxGHevX0e4cR3PrY/wXvsA98wsiViMoNtFPrXP/uYmlUwGvVIhLskMxONsF4uUmk30RgOtWkX2eHAGAujlIM18Ab2UIJ87iVdysr06zPpyPzdva4yP2lxMBLGlMktuCffgJB5dYctq4lINqtfvI2ugNUU8gUECMT+aWKYyP48tirx39Sr3bt5kpFDEcMhceu+9LzwHInD16jQLC0vU673840/ucv7C0Cslm7VaLWq1Gtl8nnyzCQ4HoVgM2+tFajQQSiVOTR5Wct5EDL8edDod9hsm0Widt06d4/rjxxQkicfz85wYG8Plcr3S57QtCyOXw/OCgsGhX7cfh8PGNFVSe7s4nWUsK48gZgiF+jHNPlyuPaq1Os3moQONbllUDrb51rlzx5+1vr5JODyEomy99JhEUcSfkPG3fKz+8peceP99AoEAkihiFgo4P2Oh6HQ6kQWNzn6UYgOcSRGr4cbQFYrFEtFokVbrmytUZLJZPOEwzm8wO+ENfgWTz9tsuhQF3bJY29jg1NRXV7Tbtk0mk+PP/3wfy3Lyre/scPnyVy8eAFx8+21Si4ts7O+jRKMoPj8SNibQ2t2lf3iIPt3E8+gx60tLnP1M4InX6+VsMMh9BP79/DxOl4upZpPLp08fR2XnqlXMToeBL7lAfhVoHFX9LeulBY5cLsc/3rvHgSQRicZwyxK5UolSq8XS2trnCPTq2hq3clkcPj9TvwWyvde21O3q6mJnZYVKu80TMYJlWaxubiI6HPjicZZWV7n41GD4KhAAMRBkKZPBEEWkcoVWoYjvxATRUJB3zp3j0eoqjZ0dEATkRAKroyKaFrptoxoGI+UStm2z4eqnKWq42mUaHVAMg4GdXfqzOZb/2Z/CxElEBPazafIHB7QLBdRcDjWdRq9VEUUBrVSiEpIZ8p0h6tZwSiK2bdGq1ci73ZQODjjT2/vKC4VAIMCKw4GUSmFOTj5z80UiEaSZmePPGp+YoF6rETyKy9z1+1FKpRc2q73B68ETvbNneBhja4v3P6M7a+TzlK9/iucf/gZ/ah2PJPN2voAjGqOsaSwvLlJIpVDLZcSmytujJ/nW5bOcPn2aWw8fsldvcPPTTyjWGzQbdfR6HbVUQvb4qT8WaBS9NB1BHIofv8tJLuuhmLEQrSye743gGnChFJ00ag6yOZtAxEXyZJiyqFLI1mnXFHq3d0kEOoQCLhzJJKlUimgySUVR6J2fZ/7efaYvnH/hIlCwbQRBPNK4nuHRozlEsZ+HD8uEQntcvHjuc1q8YrFI6uCAUqsFikI02UPJMBAsC0XXSEgSsbGxN4T514RP7t9DCYWZGBjE5XJx9fRpbj98SCOR4PqDB5wZH//CLdNqtYrtdJL4grS+dLpAW1UQkKnXS1RrB9h2kbExAUURaTWhWjUZGAiSTu+jaRrVVguHohzfR51Oh0qlTaGQ4u23J/gifOvbFw4Xab/4JYt37nD5W98iHo8TDoefWykLhkCRGxiGiiTZiKKMacscpNucPy/S6YQpFIrEYl+cBPtFqNfriIpC92+4ovb7CkH4fAJkf18ft65fJ/81qs+1Wo2f/XSJxYUeBgZ1fvDDAeLxr38Nu7u7OfeDH/DLX/wCVzyGx+2m02nTLpUR63UGe3vR6nXa16690F+5r6eHG8vLDFgWVwYHn0letG2bmmEQ+Yx/8zcFC/DI8svJcz7P/+ev/ordTgfB5cSqVjHyBfL7KdR8noz384YT2XKZem8fI+k00VdIYH7deC0E2rIsDjIZXH4/RKP84uZNhpNJ9jMZxGQSfyaDtrdLXXGSz+eJf0HUY7PZZH1zk2KzidTXh9nIczKRYK/ToR0M4g8E6Gysk+3tRTYNeqNR3rp0iWq1ynYqhdnXh1CpIDUamNUaXLhAqVxnqDxAILhPwBfH2tom+vHHDDRbKIkEg/cf8ovuBPPtNo1cnk4hj5pOo2Wz6NUqoiSBJGJUq3QskeuL61Qngvw3//UMXq+Xj+/dI53P88G7734p5xFRSlLDWAAAgABJREFUFFG6utBL5ed6VD7ttOF0OnE+de6mzp/n0U//kYXr1zn99ttviMevAaqq8ujDD/F5vWh7e7xz6dLxoFEul8kuLeG/fYPInU/xWhoedxBXJIm70eTx3/09n/h9NEtF7FqNk5EopyZn6Uu+Ta2W5eHCIv6BAc5Xq3z7v/1vmV9f587mFvML89RrdUy1Q2XeDWYDyRHDdETR1BCSw8+43KYaCnI/HaR1w+T81A5vXWsTSXqotAeJhBrYOxt4TYH95nlkl0CtNkKtauETwqQKu/TGXbjiXWTCYaL5PDd/8QtGpqcRnjPgWoKIYVvkjnzMkz3d1Ot1tnZ1bPEk12/cQ5AsJElEsyw028YTDuMOhVAEAbvZRE8fcPnkyS+1K7W1tcVBLsfFs2dfuUL6hwTTNLl++zaTX0B+d3Z3UbqTBBoNotEomqbhdrt5+9IlUvv7bPt8bNZqZHM5pl9SrWu2WtgezzPhU5+FqqpsbRVoNiUEQQJsbFtDENoE/C5KJQmXaxtJjGMY93G7B1heXscTCuF5Slf98d27ePyn8DdTryTjURSFWCzGTn8fyUKBxbk5ps+ceeE2cyTiRnHs0NHCCFgoogMQUVWYnj7B9U+r1Gr1b4RAtzsdbEFg4MSJb+Cqv8Fn8bygJ1EUCUkSLYGvpIOuVmv83d9uUC5OcunKKt/+9uw3SkbnNzZoe73EwmEs06RWrtLKZOgJBfEJAufPnkU8d46+54x7lmXx6cICLoeDD46SlZ+Grus0vV4ufAUZ7atAsyzkl5yLXD7PX/z4x2y1WghOBUGSKWezlA8O0JtN3K0Wgx988Ln3NXWduG0z8luy0PzGCbRhGHx65w6OWAytUKA3Hqdh2+QkCXtgAG17m7cvXaLT6fDpwgIPV1b4IBx+7s3baDSYW1rCdruRXC7EeuMwhbDVYm5zE+fAAGK5jOD20ROJkc5U6PQNICgC2Wye0dFhBFFkv9HAb5oUnE7aZ88gtttIVR/dsQYxnwvrZz9ncHkFp+JEGB2BjoZw7y6+WpXq9CStXA49lyMciTDxp3/K/b/8S5pHW222oaPl6xjNLI8fyfwX/2NGzvjpHhigc/fuV7LtO/8F+fMvgsvlIjJ+gmipxOrCAmdfMYrzDb4aVhYXqW9u0i1JtIJBBrq7KR/FwxZzOfJ//df4fvH3+DoNXLITT2QIMRimWK+zubaCvrSIODmJ2+Ph7ZMn+c677zI2Nsb+fprtzCjOnhpiIYMhCKwUCkh+P+9OnuS7U5PcfvSI2zcz1O09dMuP1SljaGkkOYziiNDvS7MdGmX/sYZsKnz0qcz59wM49CxuM0BtZ59rMzM8frzMwZ7EwIjAiRMK5XKVhZWHOKKn2Uu1EFoOhKaM4fXS352g7nBQrNaQLBPLthEA07bxDfQj2jablcpho64NsgChIS+NWo1SeZShE04cvg71gwOURoOhQACf14sjFvvSUi5d17l57x4dlwtfTw8fPX5Mr9/P2MjIV9Id/r5idW0NPRaj2WoRAyqVCj6f75nxVtM0Fvf2DiU4ly9z484d2oBs23RHInTFYgzZNqupFK1Y7KWSjk6ngyKJvEysVqvV2dxUgRCCIGJjIaAjOzqcPv0BNiLRqE4+52VkBDY3dqlUEygDoBwlAwJYHi9Gl01I177UOTl/6RL3PvkEvsAuLpGIAW10vY1lWzhkEUQZUUxSKpZQnBa7uwVGRoa+9nXKN5vouv7GRek1QTgaqz6LwXicR53OlybQtm3z13+1RKHo59q1TWZmDlMz799f5O7dOrIMkgiRCEycjBMOHxa+BAGCwcAXaoMzmQwP91N4h0aIdCVQ223UUhGrUiE0fYpko0kgEHjhLk++UEBNJpmoVj9HngHWNzcxPF6cr6lfyrRt5BcdWz7P3334IXPFIpbDgSg7Du1/Ox2Meh1FVXn79GnOnjnzzPsazSZFtwvvwQGjV668luP+svjGCLRt22xsbrCVLyC73PhUlVOXLwOQLhTQBaBWI9DXx50HDzgzNcVYPM6BbXP73j2uHb3Wtm329/dZ3d1F8npBFFFaLUa6u/H19XFrZ4dyTw9eRcHndNIQRDJZk/SujuQJYrV1aoqH0v4+/f29NJtNSoUC6VgMtdVixuVio6LSaPlIlO4Tu3ODQKOJlEyC4sDK5VHLZQqmgbq0gGqbYFoMTpyg59x5egeHUJwubvzH/0i73sSyZKyWAHYJyxJZzfkZ8QVpbm8j/waSd4ZGRriXzeJ/I+F4beh0OmyurOC4/4Ae8XCUdG1vU9/coh6NkHU6kf/v/zdim4t4BAGPvwtntJu6ZbG7t8NuqUzeMCi4XEx7vZz73vf49gcf4PF4ME2T/XwOIxCHSo26JOEOBpDTaS5MTR9H1F+8cIF3Zhe4eXuOufUGaw/T1GpuTKNKWN5HCJisrYUxVBFLVDA6+2zcbfK//9/9gI8/vk+14sG2bQTh0L5MFAWCwSDBYBC328lO4wC1U0C3ImRKEb7zp/08nJujpus4VJWJZPKZHY47S0s4bDg39Rw9XRg2jF3Meg+hhA+r0eD9r6jT13WdrZ0d1rNZnKEgfQ6Fbr+fh/v7qKEQHz96xIXx8WOd3x868pUKTcui7/JlTNNkeW+PmMfD2Ojo8Wsezc/jSSQ44fUiyzIDPT1s7u/TtiwKkkSpUqGSy6HYNna1SqO3l08fPOD8xMQz9lcA6wcH2LKMMvxiu865uQXqdReH048IdEBQicW8GGaMsbEa21sNDDPL8PA0kiSxsePGqFUZ7vrV97UNHa9s4HF9OR9fURS5+Pbb6Lr+0teNjg4jigaWZWBZGrLoQEAiXzx0xxGEAvX6159CDcPAEkX8ivKGQL8m2Lb9bIDEEbpiMYS1Nda3tjj1JbTApVKZnZ1u/vW/gdHRKWzb5tGjRf7mL2MMDDVxuixaLTjY7+HRnEiz0QZboq/XgyA9whXQCfYZBB0SffHYobyCw/6xYDDI3sE+B6ZFtLeHjmHQqlbRGw3Cssxwspt3n3Li+ixarRYfbm6CIHDmM31UT5AtlzEkiXDi9bh2ac9p2oRD8vwPH3/MvXQG0+FAdDgOCy5HgXRyu80701N854MPPufUNr+4SDUY5KzH+1vTOP6NEOharcaDpSU8yW4clsXpgX6i0SiWZXH9zh2saJRQpcLE2DiLKyvI4QgPtrdxtNuHSUCRw2bDeqtF3TSR3C5s26bL6WRsagqHw3EYo337NtlQCP/BAT2BILqh01EUQp0qV394noWVFSpGnnAgQbbRy53VNdx+HySTGKbJpCAQDoXhUYHen/6/OJFbxtmVQBgaOtTf7O1R1jqksdlCIOfxcK63F8vrpR0IYJsGLbVN/9Q0B5f/OYt/+bfYZuNIX6UjBFUMV4W4qRMZHubgyELv1wmHw8Hld955EwX7mnAo2fiIPsNgr7eHiYsXgaNkKyAEXP+//F8ZXZjDH/Thi/Vhut2kiiXWs2myaoe8JOGaucTUW1c5OzPD9NEgZ1kW965fJzk+Tros0RSDGIUtRnt7iV8dfuaaulwuJiZOULYtJq84qL2bYm5uj7n5KqOCycN9B432BoKQOWw9sbMsLQS4desBvb1hdnd9LCysIMsQ6jMQnpq3E4kE66kUrrAfIX2At5UknU5zeWaGdCbDUqHA0t4el6anf1XdOJqgnhD8z+LChSDzCwssL2rg95PNZkkkEq983nVdZ3tnh+18HtPjwSOKXOgfOB5k356ZIbW/TycQYKVaxVhZYebs2T9oGZNhGDQsC+9RIphpmlThGXu5nd1djHAYMhmSR005g4ODDA4OYhgGtXqdSqWCBnRsG0OSsHSddk8Pt3b3eMfpPL4HLMtCw8ZlGC/1u0+ny9TrNoIgIwhgWwYCHbq6hlCUPYaGTrG26sDnzyBJEkNDA8wt38FKe4hO/kou0TAtrL09Lr2AJLwMoii+0k5FIuGmXOmgG20cDheCILGz18Y0bXp6wszN6RSLxa+lx9zZ2UEKhUi8GbNfCwqFAk6fD468ihuNBo/m59mv1wm6XIiiSLZa5VXvItu2+eTjNYL+APF479FnNvnlL3zEuqr8yT8dPV5Y1mo1DMPEtiGXK5Da26VWt6m0bNoCGMEAB7aFnM8jiSJoGjx6RN4wCExP44vHMdQOZruNXq3SG+/CJck4X/J8zS2vUAuG+GEoeNwLpaoqrXabvf19UpUKKWy8bvdrizJ/kkPwNCzL4hfXr/Mgk0WTRMSj6veTNGex2eTy2Bjf//Z3Pic3a7VapDQNWRDw/BbtMH5tAr24tESm2UT2+fCrHc5fuoQsy5imyY07dxCTSeRMhlOzh/qg82fOkM/nWd7IISYSWIUCdVWFQAC10UDUOowkk/RO/cpMvlgscmtpCa2vn0Bqj+9fu0aj0eDuygqKy4Xh93H90SO8DgeCKKIKJoozgO3VqWQPqEa6cKYyCLEIdx+sk79/k4n9OWSfHyQJY2eHRrNOzrLYAfY8HoyhYS794PtcnJ3lH3/5SzZUFaPdpqO2EYNBBCuGJAxhS+uAjuDzIsV9JIUK01MncTgcDAy+WorXN4035Pn1YHNjg+LKCgHDRJueYuY5PpXpdJp2+oCyAWYgQcWGjfU1DuoNcjaUAkFG/+hHXP7udzk5OXk8iVuWxZ1ffsh45zDMxLY9qNu7/PB71557Pev1OreXlvAEAtiVCuHeLv5scpx/M7XEcr7O7f9wD2hhW34QOiDUaLZi1OvjFArbeL0lCgUPJ04EMeoHCOKzg13I7Ub1+VBcVZx6G8M4XPE/CbVYKhS5vbjI5elpvE/kFy8ZiwVB4PSpU1Ru3sQ1PMxCKoVuGCS7u7+wmtBoNLj16BGegQFM22bM52Ps7NlnXiPLMkODg0TrdeaWlzECAT6dn6fX72fyyAXIsiwePHqE2+1m6jM+67+PME0TZyhE71P3qGnbGPqvFvabBwfIsRjjQ0Ofe78sy0TCYSLh8GEgFof3XUfTWNnYoOhy8XhxkWtHkrNcLkdscAgjlXrhMXU6Hfb2apjmIRm1sQANUdIYHpI5daqH3d0UltVhevpXVXJfwoXRHGF9fZOTJ0+wv7+PM+DH026/RttOgWBIwbJ1dF1DcYgIokSrDZqmMzY2xK1bB5TLta9FoA3TRO10GP4aThBv8GKYpokkywimiWma/OLGDbZcLqTBQeRwhFq5hJ7LvbKMo9Foks30MTq+TyAQoNls8h/+x2V8fh8/+lHwmV2Zp6uo0WiYJ0VuwzBoNBrUGg0Mw2AzlaJsGNQtm0Y8xvz+PpETJzAtCwkbtdFAarVwT04SrJRfuPgrl8usahqxZgNPd4KHc3McVKuURAkzEsEE3JZFAmg4nXy0tMTlkRGSySTfJJyiiOOp3ZRarcaPf/lLbqdStABRUUAQsLQORqsF9QYzw8P80x/96Lk9cffn5qj398PmJgNvv/36bpYvia9MoJ84D3h7ehAqFc5PTBz7OluWxY07d3D09GBmMlybfVZcH4/H0TSNnXweX08P5WaTuiQRAS5evvLMax88esS+YeDv78fZqHN+eppms8nd5WVcwSBJpxPb7WZVVUnbbhyRGIasI3lU1EYdZ6lCq9WFbU2zlRNpGTq1/f8vFUlE60liFQqUalX2sdkQRRr9/Yy99x6Xrl2j/yj4pDsWI7Wfwmi30dQO9XqbykYFQQwj2LPY7jpiXMJRyHLm0tQbH+bfU5RzOQIuF56xMfpf0CQVjUZx9/eTnZ/n/u4Ohm2TNwxyLhfW2bNMfve7fGtmhmAwiKqqCIKAYRjMffwxI/kC24KIVKuhl8pgfr5z3LZtyuUyd9bWCJ84gbPToaZpeJtNetNpVqIh+oYH8f/9IvWWjS1oIFgICDRbZUzzMboepSsuc3AQJpPN4osloV1/5nsmTpzgo0ePEHUNh+R+JmnqVyQaPp2f562jCuCrrNsEoLS2ilMQyQgCO/fucXVm5rlb141Gg8cLCzTdblzhMOb+Pt+amXlpddPv93NtdpZ6vc6d+XlqHg8f3bzJ6YkJltbXUXp7Ke/t/aZvpdeCpeVlDopFdNvCJUr43G4coRC2plGpVLj96BF3DJ0lUWJ+P8V4VxdKdze+ep2eV7SE8vv9+IFYNMpPbt7kafWxaVlUGg1mXvJZ8wuLrK11gAACIjY6CDbRqMTQkItEIsGDB/eQHeKxm8Hu7i6mO0i7CelCkWS1SjaXw5VMEjw4eG3nUxQFRoZjXL9Rx7ZUkl0iOzkJS/CwtrbP2NgQjm9gDzdTLKK8kdy9NgSDQTo7OyDLbG1tsVWv0XS7ibvddIdCFBp1BL+fVqv1SgFv6+s7GEaUyalums0mf/VXS1SrPv7t/ypIT8+viGi93sCyDqvPmUye9Y0CjTqoSoeWoOIYjLNWqdA2TWynE9PpxJZlrE4HMZGgpaooTieWaaLX6wRFkZjPxztjY8+dF2q1Oh8/WiAb78Mq7vGfdnfxud0ofj/uapVkvcaJ4WHCR3aghWKRf1BV7ubzzMA3RqIty0LHRnzq7zfu3OHWwQENQUBUHICApeuYrTZ2vc6JSJg/+yd//FzyrGkaNa8Xz1FC4m+TT/pXOpKt7W3263XciQRCucy1CxeOV0SmaXL9zh2kZBIrk+Hq7OxzK2iVSgWt3Sap6/R4vcynUlR7evjo9h3OnpzA43bzcGGBqseDu9nEYRjIzRahYJBf3rqFGA7RrShIosj6/j7BWAxRc1FZl7ECbcRajTG5jBoOEo0Y+IwMpiQjljyoyX6ymU2MrU100ySHTSYQIDo7y4++8x1Of0a8fmJ8nLtr6xiuNnq7TSGXp03hsIPcKSP2urEzabqjElevXv5NX9M3eE2YOncOTdOecUL5LBRF4dyPfsSNbI6N5WU6pok1MsLMv/k3dF24QFUQWDd0yGYJuJyUHz4kks3S3dFYi0YYOX8er89H5f4SrZaCpmkoikKn02FldZVSvY7Z1YWdSFBfXgaHA79lESqXWXG5mH3vPTqdDoGgg4ODJ40zAgIilXITyzIQRZg4Oc5B+hHlElRIEf8MKZVlmZjLhae3j9xBi1Lx2aS3ZHc3mqaxrTj4cGEBxetFeKrB62Vwutyc6ulhd38fqbubj2/f5uTICIkjv2jDMNja3uZA0xAiUZRCnlOTk4S/RIXO7/fz7uwsdx88QI5EWFFV6OnBSqc59xW2/H8XYJompgDtRBI9kybTauGPxZFMk9uPH/PTnR30/n5OnznLvXSajqHTfXDApa/YtKzYNpptH1b4JIm9gwMEr/elbihra7u0204E4ajIYOtIoo++vg5nzkyjqiqSnKCvt338nnQ+jy1PIzbnMUMCD7NZAl1ddEwTCV6bbafP58Pl1hHQabZUZIeNLEuouoNcrgKA03WoXvo6UCUJZ6v1W6Pr/H3D3t4esYEB7IN9Wu02pbaKS5aPpKE2nWYLWxSZW1rircsvn79t22ZhoQFCi+7u0/zkJ/NsbQX5t//WRalU45NPdrAsaLagUOim1nSwtWNT7/jQ9Qia6cCUIHK5QvdwAbmrC+kopEqWDimnU3EiyRIOUcSybWqmhTccpsvrxeeQcTmdWJZFo9Gk1Wpx5/Y2maxNptBLZ2KMZDGPPwZjmsZ4Tw+enp7nmhnEYzF+YNv8/dISH5sm7wjCcXHk6yCV2ic8MISUzWBZFj/78EP+YWGBtiwdVZ5FLEPHbLcxazVO9/Tw1vnzL8wL2Njepu50IpsmYy/Z6TEMA03Tfq3JtF+KQJumya1799A8Hmi3Gevqontk5JnXHKTTOLq7sbJZLs/MvFBOMD09/czfXU4nDw8OiE9PspzNkSsU8Hh9JE2TusOBqqqMJZPcuHcPMRLBWa2yY1ZwhcPITidaIU+wpxd/YIN9RwIxU0YelOgAjkYdVziMpSj4awcob51mPbVOvpDGciko09OcnL1EJB5j7DlR2H6/n7DXQ/pIxnHw+ADLAGQJMalg5SrInTpTUz0vJVdv8LsNt9v9Spra8zMzBEIhNldXaTWb+AcH8SeTGKkUPgSkniSUSvgMk9FKlZLLzVIiga8nyXK9ibRjUq8HEMUEH3/8ANll05FEeoaGGPEHWNtPMTUwQO+lSyzPzeHZ3SPj8zJ7FHbyVz/+MR3FRhCeaF0FQKReVzF0CaczSKVSoafHi6oPISaq2MX8535HVyzGXqNBR3agmIcsQVVVKpUKq1tbmE4nvkQCORw5jA7f3aHROOwJ8Hg8z332baDTbhMOh4lGozyam8MxOMhGPo9pmrSaTbZyOXz9/SiaTigWJV/IE/gKdkuyLDM2PMxaJkslnyeW7KEpCOzs7TE5MfGNSJ1arRaWZTG3tIhmmEyOjr5ScMzrwKnpaeq3biG2WpwaP8FCPo+wt0t/Xx///uOPyXo8TJ46TatRJ1sq0iiX+Bcjo5TL5a90zAPd3aSOHAwkSaKiaaCqeF4gj1FVlXyjhKPXwsrZWB0Ly7AQJYGuLieRSISbd+7gjAbp6jqcKC3Loql7qKQ2+Wd/dA7LsqhUKjze2EAYGMAOh7m5vgaNJl5F4dTkJC6X6xupUomiSCTixanUUNU6AiYiFpZlUa8f1t6DQZH9/Rzj418t9rxQKIDHg0f7ck4ib/DqMCwL0SEjIHCQyWBLIqIk41ScGLaNrmlIhkH1FXqWyuUKuWwP585nWVjYYGlpkEuXttnctPmPf97F+v4pdBsM88ii0T5sk0UQEBGQBHDY4GqIREMWNjayJGNaJj6nE9Mw0AwDUW3jEyV8oQg2ELhwgXaxiJIv8bO9R9SqcLDfS7UmEA55SfY2Eft3cPgd/GhilFjs9Cudm3g8zn/l8fDvb93il5bF+/C1SbRtWwji4dj6yY0b3NndpS1JiA4FQRCxDAOrrWLW6oyEw1w+fZrZFyziDcNgJZ/HJUlUnE68L+BXhmHw85s3qds2/9U777ymO+nzeKVRxrZtVldX2a9Wcfj9eFotLly48NxBKhIO09zbY+IFlecXIRQKkchmKVdrSKEQXiAkSdSyWcxwBGe1wn6rhZBIIBaLeJI9GPkcPR4P/kSCuVSKxv4+pttNj1GinGuz1S3y/qWzfLi0RMM00RAIGAaRcJjR2f8TB44tRifCTExOUq5WyHc07s7NMXvmzDNVFKfTSdTrJVMu08wUKW01MLUQYo+CXW1Do0k4bnHhwtk3XdRvgNPpZOLkSertNk2XC7vdJmLoTF29iq7r3Llzhy5VpdftohYM0gwF+fb0NMVSCcuyyKslAmOD3J9zEPVNIqgCIY+EslxGzWUwvAJlX5V6sYhna5usz8fse+8hSRKtVouFzU0Ml40gmBxS1kMCbZkGlu2lq6uHYnGFiYkxPp1bwZC6qDYaqKqKw+E4roR1JxKs7u3RVhIYqsEvbtzAdipIbg8d20ZRVXoArVFntdHEDoeppFI4RJFOOo1P1xEVhbGpKVxuNw6HAxFweTw0m4c2TGdPn2ZuYYGaYXBg21hOJ+5QiHgkwnatSmdjg8DoKMsrKy/1H/4sLMsin8+zlE6jaRqXxsepVquYHg8Vj5ePbt3i3OTkS62gnodWq0U6k8HtcrGdSmH7/OiyhL+vHy2V+kJnh9cNzbKwjuQ2tiQx3tfH1s4Oe+kMWiQMhQLFQoHcxga9poHr8hXmNzZ4Lxr90hVQQRBwejzs7u0xNjqKCfgk6YXns16vs10t4xv14B+v0CnJdFJxvMoB4+MD6LqO6fEg1IrE44d+yHt7KUrVILFg6lga1+l0IBDAs7PDwOgoJVVlX2ii+nw8zqRp5vL4HA5OT00hfc3kymjUh9ejU2/kePhojka1hGVkEHAgiiKtZg7F+dXJeqFUAkFgeuKLg2De4MU4SKfZOzjgzNTU5663KAiIpoUA6KaF4FAQZAmnLKNbJobWIdhsYia7KZVKx7vpgiDg/kwg0L17q3i9J3C7c/z93wU5fWaL2dkJ/of/4RNuPuzgDITwOnwoEkiALILLCfLhZjUOB0iijeKRMNoagtmhVq5gax1KR3pod18f6fv3sXWdS++9T6yvj3SziTMc5sayxmDaQVdM5drbBQYHuwkEhmk0G/xFOs0py/rCsKPPwuv18r++fJk/v3uXn+XyfJuvR6KTySQf37qNT5a5vr7OXr2O5HSCdESeVRWjVmM0FOS9mRmuXr36Qt60ubVFJx4nmMsR6u5+IWGdW1igkkwy9GtO8vzCJ7/dbvNoYQGluxuhXGY8EqH7JXYvXq/3OLr7i2AYBsVikbXtbdqiiCMSoWXbGOk0F6NRtvb2CI+MULMsrPQBXR4PDbebimUhVitcOX0ah8PBJ7duofT2YggC0VYLYbOKOHMJUV9mfnGJplPB0WoxHImg9ffT2NqjGBpnqLfDO+9dAg6TE72pFDlvkFv3HzJz9vQz24IT4+Os3bxJZruEaQewI0446EBVRRSajI4EGRsbfaXf/Qa/39jf32dpZxtnvAuxUODK+fPHCzKHw0FPdzfFcgVbtWj6nZw9exZd15EkkcWNDdyxOOGwRl+3jl/ZJB4LU9/Zx4/MckgAO0o7H6Rff8Se38fM++8fuyx8eOMGhUoZW28hiiKWZQMiCBI2OmsbaZLdNngOib5X0GlYFt09Pfxkfp4hl4vJiYnDqurCAm1dJx/2MRAbwKjt4OxojPf00n3y5DMTS/r2bXSvh4hlkS+VEEwTSiWGPB6q//hTKk6FfDiM4PGQHBygVqsdk9czp06xurZGzjRx6TqmKLI1P89wNErf6Bi/vHcPHDKTlvVKC1TLsrhz/z5CLAaGwZWTJwkEAkTCYcKVCktra0ihEKvVKs6javTL+hbaR93rW5kMut8PXi+ueh3dNFEqZXqiUYK2Tezs2Zfqs38d6JgmRrPJxs4OltuFx+Nhc3ubXCGPbFs8/vgjLNOkUy4zlUjA7i7u3h4+vX2bd7+ktaDP52OvUKBYq+HzegkmEvhfIuO5dfcumiAgOCQkCUTJjyOWZqCrxfj4KLt7e+B2M3i03WzbNo8WDtA1D29/6zwAB+kDNhsN2uUy3790CafTSXd3N1McNptn83kagO7zMpdOIxsGaqVCTzxOT0/PlybTFy6c4cLMCj//+TrpdApBqDM9ZfLd7/0LJEnC47Wpf405WzcMHLb9B+0W802gUCxS6+/nzxcXCXc6nO7rI9HVhaIouN1uqqUSgqaxl80gRCKIsoxbFOnoOug6SqeD5fNzK5+n1m6j2zYNw+Cax8OZo93yTqdD2SETHc2zcNBDsifFH/3RBa5fv83tO0UEIcJQ2EHQB2CBDYapY+gq7bZKqdZGN1qonSZWpk7EsY5lNTBVFdMwsAyd5MWLVB49orK4iOD18Pj2Ld6KRAgpCqoAymkfLtcaf/bd7xzPKc1mk59tbNBlmMy+/dZXOn9er5d/PjPD39+6xc6NG9h/9CO6e3q+UkEwk81iul3cXlwk1agjOp0gSdimiaUeej1HBYErZ85w7dq1F36HYRgsZLO4bRtJkminUvQ+R2Kzv7/PhmXB3h5nv6I96lfFSwn0/v4+m9kshiwjZDK8MzPztbfGcrkcpUqF/WKRjijijcXQ3W7ERgNvrYbHtjkIhVjd2mJ6fJz6/fuYXQkikkRWlhEPDrg8PX188+zs7iL5/YiKE0elQqDY4lFsgoB7C2dXBDlwuD3mODigkslgVquY3gn6R5y06sKxjYuu66yt7VNrjiMFz/M3P14h6FHp6fXhdDlwO514bGhWmhBOYhZMKHUAFb9fZ3r69BsN2x84LMsivb/PZqlEqLcPT6vF1HMe6KGREazNLdbXBXxCEUEQuHv/Pi1AsKHX5UTS2nRa+8i2SW59jWGgOTrKu8PD5HJ5lh5YbIkKVz949/i+29zcZKVapWPZSLKJ7LbRW0cVaEFElG1yrQ3qzSLB0OGxuI4I34HLheJ00my3+fjBA3RJIhgOI2ezeMwK7XSWH377yguri6dOnuTGxibFdosPrl5FEAQsyyKbzeI0TbBtJnw+9lIpOq02T6vUdF1nJ59HGhsDVSUOjJ0/f0xGJ3p62NN15peWjiezl12D2/fu4R4YoLK5yeyZM88shEOhEFdnZ8lkMqzv7mL19vLJ4zm6PIfOHE+aOlVVZW5xkZquo/l9tB0K/oEB7FSKQKvF2OAg8eHh3zhhfhr60eLDKQg0DAOh3sA75mU3m8MCjEaDRrOFpWto+Tzn3nqLK7OzfHT7NkIsRjqd/lKNRPFYjLtrawiiiGGadHSdC6PPLyKoqspuJospS0iCA6uWRBAqyEqKmKebZDLJzXv3aAsCvecPyfLm1g4d5wBJ/y6KorC3t8fczg7BZJLzQ0OfcyKIRqNEo1GmOJRG5ItFspUK7kiEvCxR2NlBr1To7e5m+DmuI8/9jfE4/91/908YGvqQ3d0CgUCE2dlxJiYOK+SSBHwNJVCuXseyrDfOSU/BMAxuP3jA5NgY4Vf0cz8xNkakWERvt9kTRSqaRmhjA0elgp5I0FHbmKOjSJKEo9lEkh04HQ7q7RZYNtLAAO10Go9hcKmvD1mWubm5wa6uc9q2EQSBdruNNRjBcDrx72d5+0ovpmly8+Y66bybQCjBQI+Ttc0ipeIaut5G11sYZhPLVLExEJ0Wgmwi2SriehbRpWG1VUTbIhyL0R8I4trZJXrmDPf29thPpXh08wb9ly+jSxLeWJRNtc1/+vnP+Vff/jaKovBoeZl2MMgHkcjX2gH3er388PJl5g72Mf/ur7hzYorL77//pT7Dtm3a7Tb7m5scNBoIihNBkrAtC0tVMesNQrbN969d44P333/p8aqdDvVQkHf8AW5sbhJUlM8VOkzT5PbaGlI8zuWxsV97iNZL2bDf70dMpbh8+vRXFmarqkoqlSJfqVC3LJRoFNntRhcF4opCyLYZmZ4+JgGdTofs7duUo1E2Hjwk0GoRzmbZkyW0YACfZeNyHfpEV8plDu7cwe8PYBoGksvNXmyQYDiIw2mgdjpIe3u4IxE8AwM0m01sA/7/7P3Zj1x5nuWJfe5i99q+L+5u5jvp3HcyyNhyiaysrMwq9VIjaaYHgxmMIGgAAdKzAL30/AV6FfQiDKCWgJZ6unuqq2vJzKrIyFgY3Ol0d/q+2eK279fs7lcPzmAyIhiREZkRmRFZeQAHSae5mfm1e3/3/L7f8z2nUfeI5izGwzl++tMNLAuqLRGXy0xkagTdTaJLc3hDj92jEom5GN5ohJjLIngCqiRgbuiAhSCMmCwoXLt29Xf6wf0R3yyUy2WKa2sUBBHJJzM9MUHuc2wMFxbmKZU+pNedYGtrl1MnT6Kq6seGPVb29ynEYgSPhhyGQlybn0eSJHK5LHftu/j9HzeU39jepjMYHE81OSb+jIc4MAAPwWejJEc4fgtf8FfVLkEASRRomiZnslm84RCp2SQhy0yGQky8+ir//t0PcELHThyftYGORqNELAMtFmMwGBCNRhFF8VOErN1u0zJN4qKI4zgcHB6yfXSEsriIubnFhdOnyHyiBTk/P0/9/n0qokjmc0ieZVncefgQKZvBKJe5/gny/CImJibIZDIcFovsuc6xW8eHH6IIAm3bxksk8E1MoHc6BIcaJ9MBwqJI7saNb6zLjmmapCYmMGo1lFSajAC3P/yQD9dWEWQZ8PBME0cbko/FuHzpEoIg8MrFi/zy0SNWej1SqdSX2hSooojuOFSqVQzX/czzYzAYUO73QPbjdAt4komgVJFMl/zEBK7rQjiM2u/j8/kwTZOnmzqJKZFT6RkqlQp7wwHxfJ6UaTK9+PndvnQ6TTqd5gy/ItONXg8HGGnaF/79RFFkbm6W//6//0ssy8LzvE+Fx/wmeVmWZdFqt7HCYWLj8R8J9AtwXZe649BeXeXPX3/9Cx0bv99PIZ+nkM+j6zqrGxusB4N4S6ewe12mRmPk7W0iioo1lccfiyKIEmPDRJQl7F6PH509+zHCflAuUwkGn3fLtg4PqUaiJCpHfDc/SX5qinfeuc077wC+LNMTKUZjh3Kryqi7geDUEUQDSTSQZZ3pCzlu/qs3iCWjIIAkOeiei+h5qKKIqSjEDYMf/tf/NWu7u7i5HONGA0NV0SyL6GCAp6qEpqZYG495984dzp86RTEaZaJW+1xlwBdFKBTiwr/8S1b/9m+IfHCb6tIS2YmJL0zM9/b3+emDB1R7PTyfD0GSwHVxDR17OCTmOvzo1i3e+v73P/c5bdvmHx48ICRJZObmMZpNpl/SpXnw5An1cIg3ZZnpQuFrOBs/H59LoKPR6K+dSn0Zms0mh+UyXW2EFwkjhcNoto3sOCQCASTPw3I9RoaBbVnHA0cAgkA2k+H6iRM8ajRIigJhUeJQFHjlrbd4784dBn4/nU6Ho2IReX8fNZEkND+HoqrsdDRMM4McHzG2fciyjBoMYnkeDVnG7vdQojOoyBjtLfy5KSRjRCRxkcZwk3zqCa56juCUSyAqMUpYTFZF8qEgjUaTQa+Hmowh2yOk8z30moln9ImfOMF4PP5aJsG/yTBNE9d1P3fq/g8drutSKZcZLj+hEAjQTSW5srT0hVqyt25d4ec/f8ju7iSyPGB+/lcTxrZtow6HhDSNcjjMtZs3n5NlURQJh6HfD37MgcC2bczRCCUQxLXr+IIuvswASVEAF8d0qXVaGOHGcakbgGOrvJiiYu3vszg7y8QzcmLbNo+Wl/FFApiD4a+9kZ1cWGS102Hv8JDFuTnWNzY4c+bMr3yigUg0SnUwwBIE3rlzh+DUFLKqErJtCpMTnyLPH+Hi2bN8sLnFaqlMLpf71OLbbDZZPTxEzaRRuj2uXLnya9+vJEnMz80xMz3N3QcPsKIRhFgcc2+PRLfLfDhMuFD4rTx+f5fwgLauE/A85FCIMB6NdpuuriM+81tzXQfXtpmZmXlOBAOBAG9cusTbDx9xZ32dpYmJLzxUKLsugWyGbrOF4rqfSb6XV1YYOTK2PosStMF/hNU3SAeDLM7PUyyVGJsml0+exHVd3n33IV7kHE7/MRPnX+Wn77+PragsihKnvqRe+EUy/ZviZS4GcKxptSzhWarn559vruseW1aurdFxXcRYjEguh91qcXh4yMxnWGP+U4OiKMwEAmwrCvcePuTG1S9enHJdl063S9V1US2b2XKJ+nBIO5NBVP20jip062NSfpW+bYHiQxqN+M7Fi5+qdp+an+eg0aRYLjMNPBUEaLf4weQE+akpbNvm6dMalbqfYDjLRCbAzmEXw2gwP23wyo/mUP0eJ5JBLl++gCiKeHgIz1oWxVId3XLpYINfIjQ1xXK3w3/u9wlOTCAZBleAdzc2MHSdf2bbZMJhitOz9MIRyg/vYzoO0uQk106c+Mrmr0KhEOd//BO2svdp/t//Hxx8/7vc+O53f+3ze57H37zzDtuOTWBmllH1CFwX2zSwhxqCYbBw5szzkKbP26jv7u3hTk2RqteP5YmuS/gTRdxisciGaTJrGJy9/ps5Cf22+MoM9fYPDihVq4wFAV8yiRcO49g2wfGYpM/HiWvXkGWZre0tOr0+iiThCwRAkthuNIjH4wTDYd578gTRdcmMxwwNk0Emjebzsb6xwVyhQNN1OVjfIFA9AllC81xOZbM82tnFVebR/RaJThW13yNayJPzHZf010YaY9dDTnjEBytcee0cdw8rDA9VNJ/GhVMWc9Pz/PKXR4j+LqNWnZEgokcjtKo1PF2nMRpBMIjg2kh+AyXZJxyKoi7MclAsfmnx/rcVtm2zvrlJczxGtCy+8w3Jpf9d4+joiP0nT0gYBl1FIX7mNOe/RAtcURSuXZtnddVgfb1OoZB/Xt28d/s2J2WZTn6KpcmpT8mDzpye4eEj6HR6zwl0wO/H96wdLCvqsa2c4CBIxzIOURQZjccY9IHjxWswHBINh2hZDmbwON7b8zyWnzyhbVn443Fyokj7JQTacRxc12U8HrO+uYnluth+P7VYjFG9TnxhgQ+Wl3n1wq/mCYLBIM5wyJHnIcbjRMbj4zBnTSP8OR6sgUCArCzRCca5ffcurz3b2HueR7PV4uHhIbZlsehTyD+rrH5RSJLErRs36HS6DIYDXrt16xvlNfpF4bnHukvddRkd7HP58mUerK1hA4IgHpdKHQdMk4tnz5LP55//bDAY5PTUJE1FYWN3l0wm84WO4czUFHv6GNvzCH7ODbZcazLSCsgRBzHcwjEtPMsiGomQSqV4sr2NwLEs5LBYJJCZIZjySGhZfv7B+wjpNBfD4d9LlenzIPsgV5inWCy+lAB7nodt26ysrtIajRDTacRwGOp1FlIpBE1jrdVkK5HAPTxk7o8kGoALZ89SvH+fouNw/QtsTuD4vvT+vfs00ykUw+D1iYnn3aparcb63h4r4zF2Nof2THsz0DRS8/Pcb7aIFotcP3cOVVURRZFEIoG6vk5JlDBcl74sc200ovDsutnZ2eXePXDENFPpLLYNtXYTz2pw4zsZLv/zW0y1Wjgm7O210TTodCIM+0EGQxdZPks4Pkac3iCjemSOjjg3HNDPTXJ+PObC97/P48fLVB/3WH74iPdPn+J/uHePXF8jdfs97E6Ln/7v/vfMtVrkTn61kdzBYJBLb77J3fGY2Z+/zZ2xzs0f/9nnfg77+/s0TRMpnUaJRXEGffROB0cb4QyHnLl0iYXrN3g4HrG5tkZM17l64QIBv/9j9zfbttlqNBAjES4sLfFwZQWGQwovhGc5jsOdSgXZdfneb2jD+VXgK7lLNJpNyoZBXxBQHYeMZZGIxZhcWPjUAV86ufT87y/GSFYqFQbNJnFZZmwYzDabHKbSdPN5wn4/Ndum2+sRrlRI+gN0czkmLAstEuH2o0dElpYY9iwC4hEnEnGqho7tHg9nOK6Lq2kICwu4W1u8duMGxVKFQTfC7PkkulFmNpknkUggCA1UReHSpat4nsfW9jadTIbt/X2sVApFUZEFAQvwDJP0hYu4aoBiqci139vH+LtBp9NhZWMDMRolcFwCZfYrTjD6tqBcKnH4+BEB06KbTHLrmYXcl0U2m2Uw2GNzM8edO495/fXrAJw4dYqjapWh/HK5QDwRRxB2WVsbUihMARD0+/EhIAoCSsDPaKTh2ceODIIgIIginmPTbDY5MTlJvV5HSCaRmi3CsoSZL7BVr7G2t0tyYQGKJQqqyn61SjybxTRNdF1nY3sb1/MwgEAiAaKAFQqiD4bIponi9zPe3SXtuPgCAe6vrHD13DkajQbb1SrO/Dzyzg4XT54knU7z8w8+QNB1JpaWPvdYnT93jrc/+AAhlaZer5PJZNja3qYhSfgch1fPnn0e5vSbIJGIk0jEv+Yz5+vDytOn+EIhdEki7HlUq1U2DouIz25O3jMCHfH5uPKJJEeAhfl5hqurOLkca0+ffiHXE0EQiMRiOD6FyGDw0sesrq2xXw+AauCLd8Fz8WwHwbZJZrN4gJJKkXi2Ids4PGT64kWqu7scDof4MhlynveNI88AoVAQJzTE+oQFmm3bxy4we3sIqRR2MIg9HpMdjZjIZsm/9trzx+ZyOd5/+JB1D+oPHnDt0qV/8vM0Pp+P2WCQLVHkzsOH3Pw1VWjHcfj7e/doTEwQVVXMocZaschGsURY8RENhUiEQjjb2wRCIfzJBHXLogOEh0N8hkEvmeS9ahWxXmc2k2F+bo6IIFCXJNZlmWStxquvHw/pWZbF7Q92eLKmo/pPMD0VoXykMRrXiUeaTN+6yf4HMd5/KJJMurjUScYEstkRp09bpNMRJLGFP6AyNfUr27ViqcT90YidTodzrku7ZRK0f8isusfu1hblWpUzkSj+dp3qybPkHz5ATqdwPhFW91Xh7OuvsxUIknnnHT7E49ZPfvKp4+4+0zDpug6AIEn4YjHOnjjJoNfl0d/8LZ445KjdRlp5QiEYRFT9VP0qf729TXg4ZDGTYelZFX13bw8zm+WU4xCPx2nqOjFZfl6xdhyHn77/Pt1QiFd/je/8142vhEAnEwlOui7xubkvpZ97kVx/VA2xLIvHP/s5e6JIdrpAezBgWC6jCgIZwJdK0SoUiJfLHMk+3ESCUCrFqFYjPJVH7Gjkp85iGAYHwyF6IMCT7W3kxUUUScL1+djc3GV9XSCQHaIHFNyjFuml49ZhOCzTbvWev7+lkyf5+TvvsLe3ixuLYw0GCIpCKJtFliQMQcBpNvA5ztdm6P8ixuMx6ysrAFz+HJ/trwqu61KuVNgrlfAlk+iiSFjTmM5kSL3yyj9J2z7XdWmtriIIIqd//OPf+gJeXDzWQ3e7OXZ2dllcXCCdyeC4Lr1+//kC9SICgQCyPETXg4xGI4LBIGfOnOHu06fguciKgizLWK6LgIcgiAiigOfAlqYRcRy219cJ+ny8fvEi91ZWcAA9k8VS/fT39jk5M0P56IiRaeLIMu89eUI4lcIKBrFGI7AdEoAsiCQmJkmcSWDbNv945w4GMDMzTaDRoCkIPK3V0EURn99PzHOZnJ0l+4yUk0gw/wWP4dzkJF1Z4snWFuGDA7RgEKHf5/r5878Vef424qMAk48wtm20bhdfIk5Bknn05Amd8fh4iAfA9XAti3MnT36mXODiuXN8eP8+R4pCulYjl8t97nuYnJjgzt27EI/z+ks2QFtbW+y2O/T8A/xJ8IdjuKaJ2e/heh6H8Tj/nydPKGRn0eoNJHELJxTGNgyyhQJ79Tp513sex/5Nw6mlk/xsY4NsIID3LFRmeXWVnuchRiLoqorSanF2bo78Z2wQ/X4/r125wu2HDxFOneKXd+/y5o0b/+RJ9KULF6i8+y6HgQBnB4OXXt+e51Gr1fiwVGJkGLzmurijEbvakAYwsh08yyIYizH0PITz5/FkmaA/QFKWaBkG3WAQLRolXqtjey7KqVPsmCY7d+4iiSKNXBZbUcgOh9x79AgPGOkOtz900awYJ6aySJLIUauBY9bJvxpE8U8z2PfzF3+xzeLiJFNTX6y8Nl0o0F9/yu1olNv3H3DvQZRLF2pcki/yd//m/02vuEu7kEf/3g9Zj4R59d/9O0aiyc6Va5x+yab4t0UoFOLym2/wJODH2dr61LH/+w8/ZBCJIHkesiwTWFzEfjbsZ6kqkVyOxLmz9B8vIwpQa7fpaRpnwmHevHKFrf19uqLIY8vi7i9+wUwoRM8wIJFgYmoKy7IQkklinc7z1324vEx7cpLZWo2zX0Le83VA+tf/+l//69/2SURRJBQKfSUX/NbGBsluB/X0aeYXFmiVSmiqSsrnoz8a0ZBlfH4/crOJP5dDsizE8Zgj20FuNbl65gyKouD3+znsdGgNBiTm5xEEEetgn+TJU7TqClF/HUSNhmHy1sWLz9/75uY2rgsnThxXOzzP48P799kfanihENJohNUfMK5VUcJh/JkMrmXh6Ton0pnP1Mr9tnBdl831dRoPHxGzLfoeTM1Mf20EWtM0Hi0vs9doYAYCuLaNNBpx7dw5FubmCIVC/6QHXyxFYfH8+a9s9zs1lWVvd5teL4oodkkk4miahu2TOdrde2n1ze+X6HaDhMM60WgESZIoVyocVKvYjoMoyRimiaiqCKIEeAQSCa78+Cf4pvI0gkFMXae5v48YDCLEYqjDIX7Pw8nl6IzHIEk4gCTLFALHg3Rz2SxnFhaYLxRIJZMkEonnmm/xmQvE0XiMMxhgOw5jv5+2349YqXB5cZGjbp+4TyYWjfLw8WM8VWUyEvlC1048Hqd+WGQQiRCdnMSr1/nOrVu/8+nr3zd6vR5319fRut3n8bdbBwcsLC3RHwyZTSZ5+/ZtVoqHCD4feC6uZeGOx/zprVv88E/+5DOfOxGLsVMsMbRtgoLwuUWB8XjM00YDyTQ5k89/7B6wurZG1xciFg+zsreBOl0gNr/A3IULmIKIbRqI4TBGMMzKSpC9epBWpE0umcBUFZrdHrOuy7mvYDjq64Lruhy024jjMU/39qiMx4xVFVcbEXMdrp86xamFhV8bBCTLMhOZDN39ffRYjL3NTWZ/QxuxPxQIgkAiFKJsGAyOjph5QXIEx/fmt2/fZhvwaRp/du0aE9ks6WSSkzMznJ+Z4crcLGcyacL9PsX1dVqjEWo0QjgSpT4c0O31UIZDAskk9XCYYiDA0OdDE0XcdJpiJMJQEIh7Hm6ng+a6tF2P2ytJ/vGv9lAC85xZKNBq6xRru6jCNv/s/3QdpT7HRGyZt946Tzwex3Xd5/K4X/eVTqXY3dhgQ8jS3wzwv/3fpDh7+jTVg326q6ucGLd59yf/nMVymdzTZQKWRa9SpDszT+prkpHmpqaYufDxcJb37t1DS6fJDYfMRqOous5BsYimqoh+P4JPRpYkepqGa9vIkTBqLI4YDiEXCtQ+ykkIBIjkcripFPt+P12fj9BwQMjziMdi3K9WuZTLkYzHKZZKPOj3CbTb/ODGjd+31O5//MYJ/Uxdp6Qo3Hw2yHTt8mV++uGHHAHfe+UVhsMhlQcPKBamMet1FpNJKt0e/lSSK7MzH7sJyz6FkdZBrNXwAgFMXafvWBjGJguzM5TGYxzbfi5oFwQBv19C00Rs20aWZQ4PDznsdBAUBdG2j3WElokzHOJFImi7u4iSTCAeY7vZ4LBU5Ozp018ZkXYch+LhIdWn62QEaEsi2fPnufkVRG5+Eq7r0m632d7bg3AYLx7HaTYIj8dcuXDhn/Ri/iIEQWD6K9YqKorCKzdP8ODBiMPDCvPzcySTSR7fvYv/MzYqsViEYGLA9t4h+fwUiqIgA6LnInjgD4XQRsc2TYIsoIbDvPrP/jlKLEbftkgkknjxJEVtgKhpzJkmsWSC/tN1vEYD39QUsmmSEAV012V+cfGlDhQfLfwfwTRNBMummPAjiyJSu008mWSQzXLn6IhMOo2n68fn23iMz7aZ+BKDYRfPn0e7fx9DkrjwDa1Mft0IhULY4zHVQBCePmVxYQFLELBUFavXQw+HWd3dQZBlBJ7FTTsOsm1z5fLlX/vc5yYnaKkqq1tbfDed/szNcrPVQp2cJT5ofewcWF1boy1GKT8NIrrvHzu4CAKiLKEEg8iRMKKqYLRaIATRuxqmKlNzJRr1Onanw0nAGw7xXJezZ85849afSqXCfrlMPxxGA4KyTFzXmchkyP8GmlS/38+lCxfY2NzkQFH42Ycf8oNXXvl9k4TfK1KpFJndXWqRyPNBS8/zqNXrPNjawsxkmNQ0Lly69JlOYYFAgEqrRdVxkDwPnyBSCAToey6jbpczls3J8RjH89B0nWqjQVcU6U5PMxqPCfkUYn6VpCSzkEywudFi45d7OEKMTCRLMCCxttPCNhtcPm+RMWTWtuC/+ZdJ/H4/9+8/4Z13wlQrHqIIjguRCJgm6IZHIi6gaRBPQPSKhpC08KfTVGSBxf9C5O16HT8eC//Vv+JBOs3dbg+70SQ01hFzBdyjAyaePuHoP/z/6P8f/89EP2eW5KtCu91mFzg1GHDzBQ3y7bt3sYJBxPEYHId8IMie69JfXcVuNpB9PnyhEFOXLnHu/PnjWHIPeBYoVKrXqWezOK7HUauFX1WxJQlRELAsiwdHR6iBIDfz+W+EecE37sq8+ImSvCRJXFta4kmjwYMnTxAHA8K2TXCk4ZufP57oz2aY0DTi8fjzn/P5fIjtFvFsjpEAiWgUs9vF2dwkNjnJbqmEEA4Ti0TZ3d/n/DO9n0/xiEfTmKaJLMu0Ox10z2Oh06al+DBDIUzbwpZErF4XyzARTJPczAx2JoOSzfJgb4+0z8fs9PRvJeno9/s8vXePKUARwChMc+v8ua+l8lssFtktl4kWphESCcxGg7NLS6ROnPidfO5/BKTTKQRhD8M4/rfP50MCnBeIyYsIBoPoxjLWC6dDMh4nqPoZm9ZxWEAohO46x8lbySTNeo1oIk46lWbkOIxsG38ojD8SZWcwYKvdITce88a5czSaTZxoFCMcRn/mV7u5uUl/OMR79r5cz2NgWYiRKGP3+Plkvx/dcZCrVfKxGOmjCuJ//J9JJNM0p2egVkMfjykDYiJB4lly3pfBRCpFXRQ5KBa58Gu8oV/EF3FL+DZAkiRuXLjA7d09qtEIvYN9hIV5+q6HHAjw3t27lDsdhGfJgJ7r4lkWNy9dIvcFHDbm5ubor6wgTkzw/p07n+nGdNRooVtzqOngc6nR6toaTizGqJLC1QSEiSRupQR4eIDneniOiz3UkBSV5tMxgt7FF4kz7jrYST/h0YhDD6o+H3v9Pg9+9jMWYjHi4TDnv8Tn/XXBdV3W9vfxTUyS8skI3S7f+4pCHE4tLRGv1XhULPIPKyucSiSY/RxLzD80FEslRuMxSydOIAgCt65d499+8AGPez1isRgP19bQUil0AW4Eg8x8zua72+1yd3UVK58nXCqhyzLSs7RVzTAQbQe/4mPpE/c5y7L4qw8+ICgIKK6HuzCP4ZNZtUP855/HaYX+DenLFzkZi9NsG3QHNVSxxp/8ySytXZ3wko4nelSrNe58qBIINPlv/7s4H63knnf8dew+dvw9AcCnIogqa0dHzAoCN1dWGF67xsC2UeUBb924wX/89/+BqGXS/8ef4509jzDqIrarpN//BY+mCtz8L//V19qR63Q6/HJ3l5Bt88r16x/7v2j4mO84hoFuGAiiiD8UQlSV40hz18VnO0RFgXNnznxKtTCbz/PXy8vEXZcTs7Pc39tDiERQFYX3792ln0pzZjRi6hsye/WNI9AvQyadJl4uM0wmWRiNqGWzXD5/njtP15lSFPRggN54zFG1+vzAyrLMjcuX+eDxY4yFBSp7e1yfniaZSPDe8jLh06cZ7+3TbLcwTPP5a4XDKj2fBqQxDIPGcIhPlIhbNubJJZJzc4wHQ/bfexf9yRNy6TSZyUleeeUVzpw5Q6vd5mn1iG42S//wEEHTuHzhwpc6ocfjMesbG/jbbSJjncHMNJfOnv3KNXGGYRwHSlQqxKamcP1+tFKRs0tLJBYX/yCIxrcNfj+4bvq5rlkADEHg/sOHALjPyLT37AtRREin+cXt2/gCQZJzc4Q3N2kPNRCEY2eLbgdT09BqNbbGY4o7O0zMzDC7eIJsPs/IdemZJj6/n1AkSi8a4/+1t0uh12Oq32fgOOgz0/x0Y5NoKI2QmmTYFtFFC39qyKBUJDTSCOMxFwrjVxTkyQnWfvELqu+/T2BvgzmfhTR1htS77yD++T9jM5dDqNVQYlEmPuGr+0UwPzfH7gcfMFLVL0SKPc9jdW2N+njMrbNnf2Nf+98HPqrs6rrO2sYGumVhBQLoggB4NPt9kpk03f6AYafLY12n1Gwwth1ERcbzXATHBcsiFgoxPT39hV734vnzvH37Nk4qRb3RIPtMKvIRNE2jNISoN3hGjWFnd5fyUCOtJPANFAIZk2gifuwCwrO5FwEQBTzXw7Vkulsa2VNthIBO3/KT6Jt4joujKhgmNGSJlj9A3fOYMk0Gd+7w6iuv/F4/k3Klgh4IMGnoFKsdAl+xN3gul+N78Ti/uH+fXb8f9+CA+X8iJLraaLBrGGzVanz/ypXjdONYjKNYjHdXVxgmU4TqdX589erz6/i9O3cY2DY3Tp8mmUggCAKdToc7q2vIszOo+/vgugg+H6IsI4sShm0jmgaJ9KdtKn0+H3FZphMKEe312BuPOS2KPNwUGCjvE5qGxWs+zs17vP1vdvB2yiwV+pw79wb/879Pc+7kKlsNgdo7OpDjJz8JMDPzxa673b097KkpLrTbjMJBQvfvcfP/8D8870R0ikVu7+6yEYmS2Nokf2IJDBPVMDnx0/+Fu8kUb/zF/+pr+3ze39jADIX405MnP7buep5HJBRG4JhAm6aJA/hUlenpaRxAlmRmZ2d48/U3kCQJz/OwLIu19XV020Z3HAy/n3owyEG/jxOP49oW72xu0ovFUPt9epLEL2/f/lRy6rGk50P8ssSrvyNnjq9EA/27QCqZZH19HSGdZnJiAkmSGG5s4Ck+zH4fR5bpGAaOphGLxRAEgf2DA3qyRFJREKJRmnt77FYqSBMTNGSJdCCA0enghsMEHYdIJEIwEGCv0SAXidDv99Flmd7mFrLr0ZueIRCPEwiG8PQx1yYn+cFbb3Hjxg3y+TyCIBAKBpktFPA7DkdHFdRMlq3dXRpHR8Qikc8l0rZtU6lUWCkVsfx+DNNk/soVZubmvtL25Wg0YnllhYNWC93nwxgOKUSjnFtYYH52lkAg8Efy/HvCcNhnNAoxOelHURQqlQrSzAz9wQDdddE9DxOPsecd25PJMv5kimDAjz0eYek6xnhMuVpF8MmIooSi+FAch6Qso4oS/XabXrdLtVKh02oSkGVy0RiiLNMzDDxZJpmboJ/JUAUcw8KyM4yaGYSeglY8QBjWmU/oZAWPNy5c4FShwHy+wGgwYPODDzj89/+e1k9/hnZ4QMzzyGanEU0bs11hLxTHd+kSPcPA0g0u/YYyDMFxsEIhOqXS51ZVR6MRv7h3DzMag0GfxdnZb5wc4JP4KNFrZW2NjYMDioMBu90utt+P47pYhkG/2aRqmqw2mzwejVjr9tgej9FEkfFwyLB4COKzIAPLgPGYP//xj7n2wrDRr9t8ZJJJSgcH1A2d8LNZl4+w8vgxNOLIvjpSTKVZLFIzDGKRCI3tAdHJBPXGAAbr7A/6SIkEgXicSCRGu15DNgxohBj36gTyMDD142TMShm71cJzHJCPI4A9y8J2HLq2zUgbsZhK/V5buA/X1jAsi9evXOGgWESQJOY/odH9bSHLMoVslsO9PZqiRLdcJptOf+PP3d8W+clJjGaTpiyzvr+Patsk4nH2NA0xn2e63eb7N29+TE7WqNfZc2yeDgY8rlY52tujOBjA1CSJZpNkNMparY4TixJJJJiMRik3m7iVCn/x+usvlckEVZW7jQY5z6MViTD0+VCiFhuH7yNPpDl78SKOaHDYuwfCBm9dyDLox1GSIpnMgLa0RHllwH/xl8ek8Yvi3vo6Q8/j9cVFQtMziI8fsNXqUlhaQhAEZubmqBwcUJuZxX37Z8RVP8GpGbx2Da9Xo6eEiFy68rVcH+/fvUsrnWFuNGJxfv759/uDAf9w/z5uKMSRKCKrKkooRDwWQzMMUpLItYUFfvDW95mcmOCo1WKrWGS5Xudxs8kwk6bS6TJyHBLBIP3BACEYZKbT4UIszpYo0vT7IRBA0jRmohGymV+t+a1Wi79+8IBKIEBBlpj6GiSuL8E3TwP9WVAUhcuLiyw3GvR2d/GbJnN+P1uuixiPM+fzUW21qEUiFD/8EFWWsbNZ4uEw3U4HIZfDWFpC3t9H9jwy3R79bpdri4s8PDhgdW/veXhAKhFnb2+Pnq7jAtN+lR3v2BDc0A1CiSBCKMRsOv2Z0+yZdJrvplI0Wy2e1moImQyrlQricMi5T4RLwLEV4OrWFv7JSdyxTiESZfH13yzX/vOw9vQpR4ZONJHAOjoiLstcv3XrD35R/rYgHo9SLv9K0nDu1ClWKmX8pslr169/SoPsui7/+MFtTFHkrVdvYds2+5ubCB4ICAgCiIKIJMtkZ2a5/P3v0auUeby8zEG5zGGnQ/XwkEQ2y/zJJQqzszg+hZ6uI8gSicI0enaCfqNHqjAiEJIRD/p894VgF4C9vT1WHz1i+Dd/w3BzA32kAx4S0HSgJfvxeh3qA512q0U+FiMxNYVUrwNQr9fp9Xqc/BLa0fm5OXZv38ZQ/Z9JBLe2t1k5OiISiZBxbE5/g891TdPY2N5mbJq4wSCOLCOEQniCgNbv0+v1GKoqO+02ZiJBV5KwBQEpkUD2+YhEFVKhMNlIBGVhkb/fP6BRLB7b17kuyUuXWI9GufPwAa9cucrq2hpDQBzr3PiMJNVQMMjN8+f5YGeHx1tb/OAFPbSxU0TSBM7cmuf+zjbh3ARSow7uECF6Ei9uEBSFZ1ZXwvOuies6eMDU4hKzuROYt7ZZ6xZRNjYxJAmr1UYEHE3DajbwJVPIkQjOeIwoSQixGKVy+WOSvd8lSuUyPUVhzudDEAQUWUb7DWRIXwSqqvL61ausbmzQCQZ57+5dXv/9D0997bh2+TKFep33Dw54YNu4rRaBXg/NMnFe4kp07coVrgHbu7vcq1R4MjtD37RJuC5Zn4+ArjMOBREUBVVRcB0XfTwm+TmdKFVRUByHSDyO6NhY4Sjm/iojRSA/OUk2neHh8kPG7TYLSYkrl87w/vuzzFzc5K6dpn1kMXdOo9pxSCbjX0ibvLO7SykUYskwSCQSJBIJHr/xXSZ++Q7VylUm83lUVeUnf/qn/LvtbUonzxDYfMoFWcYDjoYjqnv7nPyEreJXgU6nQ9nvJ9Zo8MqtX0m6BoMBf/XoEYF0GiMSwVerY+tjbNelNtLwFB/tqSm2/H4eF4skYzHcXI6+65JRFLKShA+IhMPYrounaXjT04QbdcKBALv1OsNkkpAkEewPEHw+DNN6/vpPVldZMU3GksRVSfxYgeDrxremAg3H0eLNUgkhmWRe0zgQBM6dPUulVKInisiWxVjTEObn6SfiWJ0ORqOJPB4fez2GI/hEEa3RZFJV8GIx3OGQkCRhRCK4/T7xWIyDSgXbMJAScbJqALFUZM3z8OJxlEiYSDRGfzCAoyNOf06k7IsVadVxqFYqKNks1XaL8v4+8WgUwzBYXV/noN/DcxzywSBXzp//VFzsV4FarcaRbWMJIgWfzJULF8hms3+sNn+DMBgMaLdl/P4B8Xj82E1mZ5dAPk9IED6VcCgIAu1GHTGRRLEtwuEwG9vbHDYaIInHEg/Pw3NsAvEEl65eIaZpzJ84yaRPYVyv0el0GPb71GtVqpUjBMcmF40S9PvpWyam5xKLRfDCAY4MnYYgUN/bI8Txzv9v33mHX25scPS3f4e3uoZtWQh4iB64gsfY9ah32hwMNdYRkV57DV8siptMMiHL6LrOg3IZczBg9gvKCz6CaNuMQ8FPVaF3dnZ4sL7OIBrlzMmTGJUKVy9f/kad64PBgKcbG5SqVVYPDmi7LiNFwfQ89MGAQbNJ17J4UKmwIcssA/uiwCgSwVZVIrEo2USSxakpFicmmYnGMB0bp9ulsrdHp9PB0DSy0zOc/M53yX33TYxQEMH10EslFElCGw7x0il2t7ZIhMMvrVopisKwUcdOJiltbTE9ladcKiGsNGjnfFy8cprVgwOEUIjrc3Mctpr4ZqNo+1v40wpWr8/jjSj+vEIoGSccDjMc9JjyBVDiAaR8kPOFAguhEPFwGP9IQ9dGGOMx2A7OcIiraaAoeJ5H1LI4nc9/LWvkr4Prury3/ARZFLh25gw+n49ipcLYdVn6kufuF4Usy0zmclS2tiCXY3tjg9nJyW/sRvCrQjgUolYsMgqHsEWJ5HiMb6TTVRSmI5GXWuYKgsDKwQGmonDS7+dA0wjGYkj+AAf6GCWTwRcOM/Y8NN0gApjNJj5J+tTgv9/v58n6OpZhsCtJhCWJX773Hm4sxvnLl3E8j/XVFfRmkyvRKBgFBMHirdcmWPlPIV473cZZjLE9HPKwWmVvd49xt0s4EPjM6vDfPV5GNE1+cuvW87UqlkyytbaGtb1D6pljWCgUon14yN7CIvrPf067WuGwP2DDAPm7b3Hu1Ve/ch30Tx89wrQsvn/mzMfe/93lZQahECddl7qiMLAsRt0uUiiI3x9ARkCrVpmv17kQizHpeeR0nWnDID0aERgOUYdDRt0unmnSLBTwDfp4Q42u5zFAICWIBAS4GfAz7vU4UFV2tzaplEosOy6hscY/v3T5dx1E9D9+qwg0QDgYpLO2RkWSmJqZYefggDEeXjSOmUqhiiJUKvgQCPYHfP/WLeamp8llMuxvrGNNTeH2upyameHw8JChrnPpzBn2dnaoDwfMT06ye3CAEo/jGiaq45D14JGm4fj9KNEo4WgU27bRy2WufkH3gOAzIq3YNtVKBTmdptrtUh+NGLkuIcvmtWvXSKVSX8tNfjAYcH9zC58gkMxkCHkQ+x1M6/4RXw7D4QDLitNs7jA7e2xdN5nLsbq+TqvZZCqX+5QWPh6PU+73sHo9SqUSa5rGwHNxjWNtv+B5eK5LLB5ncWKCE5kMzVaLWCzGv/qLvyDt8+EOh7QaDXq9Ls16nXKpiKPrpCJRUqEwmm2hOTaBUJhQLEYrGOL2ygr3nixzr1jksHJEbnePgGHgBgIIloUF6EBXgCNgkM6Q+8lPePUnP0EzTfyZDM1ikaqu44xGvHb58ktdPj4P8Xicjafr2D6FvZ1tRM9jZXOTZiiEPDWFMh7TKZU4USh843yibz96hBmNMbYsEpEI1VKJjq6zWquzIkksex6bnkc/FMJWVWKJOBOpNIuTUyxOTjEdjRGWZcatFntP11h/9IjdlRX2ymXKq6uMWi18kQjTFy5w80/+BEuUsEWRoqbhTyZJxGKMTJNoMomXTrO8vo44HpN+SXR5LpujUyrhJJNsP31Kd7+IOcgSvTHBTrWMEU/QkWVa232a4wWe3lOp7QZQcgGau1MsP5EQVD+uESNVUKjvttEHNmpcISyDe3iAMjuLallcWTzB6fl5BNPEJwhYuoE5HuNpQ6KixNlz59AGA5KRyO9cxlEql+n4VSZFkUI+T6PR4KBex1JVCrHYl8pB+LKYKRSw2i20YJC9oyOE0ehT8dN/aAipKpln4WwboxGKouBEImiVCjNTUx97bLfb5f/2b/+/fCiJWKk0SjqLrKr0bZuSPsY0LQx9jGkaNIYahiyhJeJUgyH2my2qO9uYwyGpZPL55mR9f5+9RIJ4OIy+v8/TconM/DynTp9lZ3eHbqtJyvX4s3PnWTuY5fxSl7/5G4m5mRZ//sMTtItFssDFSIQjbcSu53K3Xmd3dxdB18m9YDt358EDtlQ/N6ORjxUDfD4f0uQUwjtvs2M7TM3PIwgCsWCQmgB7xSLNwyINQeLGiTlSf/pnzJ0+/ZXOTH1w/z4N2cdPTp0iFos9//7e/j6HwQDJTpvaaEQpGKRbb2AMeuDzkc3kmApHqJdLnABuXb9ONpMhl8kw8dGf2SyT2SyzU1NsHB4iAJd9Ct+7eJEL+TwX81Osb27gM03evHqVxelp7GqVo3CYuqJwyjJ58+IlIl+ThfDn4NtFoG3b5vG77xKXJDqpFE4kgm6aiLbFiVgMq1ZDTSbwhkOE8RgrFCITCqEoCqIoUiqVkFMpZicm2NzaJBUIIGUy6K0Ws5OT9EWJdrmM4zio09OovR5+xUd9OGS/1cZSFZRolEAkiizJ6K0Wiy944H4RBINBZvJ5Ap7HYamEaZqcyeU4c+rU11ZR0EYj7q6tEYzF8I3HKNEoftf9XALtOL9KsPsjfnfw+XysrmwgCA4LC8cEWpIkXMPAjsUw2m1SnyA4rutyVKujmQb3dnZphSPklpY4eeYMw8EAc6zj2TbnpqaYO3OGVqlESFGwQyEmIhHOnzvH4vQMYQpYvT7DQYN+p0Or0eCoVGI0GJKKREgGj1tsA9tGBNYfPmD/4ADDMPAkEdVxUPwB2icWEao1hq5LS4BBLE7i1Vtc+Rf/kjf/9IcUCgVqtoVVLDHMZjGGQ37wOTZUvw7WaIQ1OYGdSHCkDdFicZxqjZxhMJdOc/bEiW8ceQZwTZOZZIJuo8G/29piNRjgqePSDQaeVZhj5JIpFqYmOTE5xXQsTkiS0NttDjc3WXv8iJU7d9hcfkxle4tOqYRWLiOPRqSTSaYch+5gwEDXkSSZE4uL9MYjUFWOWi2mgYRtI+k6vuEQBzAFgZnP0JNHwmE2KxV8yQSTVYOKIuEGdBzDIDg5iSeKRJMx6gOHcH9MKpkgf85Gq43Z7e4QP+OilXO0Vqpsve1QsxLsP/RxWg6SmVVQ/ApSPM6wVuPSuXPcfOUVsokEqUiEmN9PKhDkyuIiU5EIA9OkOhxSPjgg+hmV868auq7z8PAQYTQiKMusHR5yMBgg+3wEg0FKxSK5ROJrJdHJZBJZ1ynVaoz8frzB4A+aRIdCIRLxOJl0mqlAgN12B18mTd/nI9jvf0zG829/+lP+fnMDNZtlanoGQRTw+XxEwxFy8QT5qSlymSxqMIysqgiOi+N6tPUxDVHiIOCn7PNxf3uH/coR/UYDzfPw8nnagz53P/gAKRbj1MVL+P1+nq6s4BNErsoySjyOf3JIeTWG64j8i3+ZIp1OoXc6dBJxZlSV7125zFIkQlTX6ek6H/Z6rJbL7B0eove6VDyQtCE/uHbtU/fdSDRKUZKIPVkhfOUysiwTDAapbe9g3rzJqcuXufiX/wXi9CwLG2t4Fy5+ZYPS3W6Xh+Mxk/qYUy903IfDIW9vbuLoOvOxOKVgkKlYjN2tTUbNFkosTiQRJx0IUm7UyY7HnFxYeOlr2LbNL+7cwZ6b46Rtc+aFwqRpmjwaDFhUVfITEzSbTR42GnjBIOdtm1evXUP9Gq+5z8G3RwMNsL66yqwo0s5kuDU3R6fTYfrixefEc252ltv37qHmpxiWKwQjEe4tL/PdV19lMBjghIIEWk1qlk0wkaTT7SI2GvQti8WFBbztbdqqSkSSkEUBVVU5feYM5uIJNgd9NnQd2zAwDJ1IOELL72cwHH6sldjtdrGsYw/pz4oFFgSBVCpF2OdjYJpMfo2WLK7r8vDJEwiHmFBVAvE4270esc+5uBzH4f27dwkoCtd/z0k//9Tg9/sRVRPnE/uWwtQUB2trDB2H8coKjuOgex6OKB4PEwYCHIgC7UyGYCTCqYUT6CMNJZ3GNxySU3x879YtDg8PEWWZpdlZlms1DkslZgWB+/caYKv8V3/+HXZcm6cf3uHgqELr4IBBs8nh9haZfJ7F02eYyE2wf1ShVTwAAQRRxPU8SjPTCJ0u4mCIFgqimybTr7zChdde40c//vHzluK9Bw8IFwroko/xoE86lWJnd5cL589/4eM0GAw4ODykrWnI0SjbwyGKKBIbDFiwHc7efOUbv/lbWFhg/+CAf3fnQ0qpDJlwhLl4nEQoRDQUQnWPJ9S7jTobR6u0GnV6zSZar4elj3HGOs54jM9xyEYizM7PMx+JMJfPY/j9uKrC7qNH/M3mFutPloklEszMzbFVr2FHo3w4GnPDNPjRlSsAbG5u0Qn42dja4tRLtOiVoyMmCgWGq+vodYGJq36uXb/E4ydP0DUNtdViK5xFaccpFLbpDk2GvSjtTgMl2Ke1nkdWj6gfdZHzUwyXkwzUEf/Px23+L/9Xkbako9ZqKIkEt5884daFC5w6dYpTL+nynQfu3r+PHolwd2uL2Xicpd/Ae/nL4PHqKsFCAdUyaY91jF6PM/k8C/Pz1BsN1iSJ28uP+cGrr/32L/Y5KOTzZDMZ/vHuXYqZDN7uLoufQUz+kJDJZPi+KHJ7bY39VIrgYMBQ05idmSESiRCXZUbdHpFul8B4RKfdQlQUBJ8PV1VBFFFlGVUUCfoDhFJpfKKIKkm4roNu2QwMg64k0RNFHpkWhiAS7HTpNlvopkk6k2Eym2X/8BBjPCYyGnHu5Em2k0lygSDNksd/85dB8vnje/r5s2cpPXzIumkyPzdHPB7nejzOdY7DkB49fUpdFPgHx0WQJH70OR3ok9eucRiNfmyD9r0b1+l8cJtMboI33nwDy7LYfvqUiReqxL8Nut0uv9zZIazrXP7E+vz46VOkfJ5ToxHr9Tqj6Wmc8ZglD+6bJq5to+sGkiAgKgrmS7TrH2Hv8JBGIsFsrcaJT7zOk7U1QtEoKVFk9ek677eaCIbB9zIZTvyecwC+VQQ6mU7TBs5duIAgCJ8S5QuCwM1r17j74AH+QoHxaEywUKBUKlE6OkKJx1DHOkNVxag3UDNp3PEYORBge2eHV69f5x8fP8awHazNLYRCgTv373Pt8mVE28EzTWxdxzQMpFgcIRJhY3eXVDLJwUGJUqmPJOXo93X8qkgovMmrr17+zIqEAKSmptA07WtJMPQ8jzv37yPlcoR6Pebn5/E8j0fFInwOgX6ysoqUSBD7Jx4l+/uCEvLQBbi9vIwF2J6HKIpMnTxB23YwRyPsXg9zMCAWCoHnsbOzw54kIQZDzOULeLbNxtoaw1qNiG3xnatXWVhYIB6P87hYpNVu4/T71FyR7Z/vEfBLvPmdAolEnMN797h5/Rp/4lxmdWODe9tbNGo1yoZBrVgkNTmBIskICOCB6zh4to0Vi7Nv1Ih5Los//jG3zp1j6fTpjw3auq5LT9dRJQnLc7mczbJ1cEDL72d/f5+5ubnPPC79fp/DUpHWQMMXjSCpCiFVpWIYiN0uU/E4+XjiW0UmBoMBW6UyAX+QpWSKWDRGr91kf2ubo1KRQafDqN/HHI1wdB13PCYkCET9fjK5HPlolJO5HDNTU1ixOFgGZyaniEYi/OzJE2ZOneZ8o8nTwZCVx494NRalkExS6nRo2Dabnkvy0SNuXL7M0tJJfn73LiPgZcI01/NoNRpg++hPZPnhpeMOSXc0Qu/2CCsKvT2FrLdJJhumNaxz1IiSzogoY4fhWIbhBqPGFAEnjNNVId1lMGiw9rDJ5KtzBDMZxGYTJxDgveVlTk5MMP/CtP+LuHHtGr1ej8dPn1Lq9fA/C9r4quE4Dk83NigiIHV7pA2djCxz/o03nj8mk04j7+5ip9I8fPyYK1/zIJOiKLz1yiv88u5djiTpW3XO/zZIpVL85I03+A+//CXtEyfQRJGV/X18loURCKLi0dzf5/1mE0GSUINBlGAQMRhETiaJZLMEA360wRDPdUAUERUFnyzjEyUCqkomlSYgyccDq56HaVlo2Rx+n4IvcNzpKB0eEIjHOem6DAEpHmdgWnz/woh8/ldVWlEUKagqpVSK/f0D5uZ+ZUUYi8X47q1bbO/s0B+Pmep0uPDmm5/5uweDwU/FdauqSmE8InL3HtqVy4TCYc5cvPiVHe/7T58yDAb58fnzH5Nu7O7tUU8kiJXL2NEoB9EoruMwWy6jSiKeZeHYFoZlgiggqio9XcdxnE9JS/YODng4GBAbDrl6/frHtNuu61IdDMAw2bYtyuEwOc/jrVu3CP8WGRtfFb5VBHoqn2fq11gFiaLIK9euce/BAwxVxYiE6e7tEozGENodLt68yS9v38YXixG1LNqyTDabpbyzw+yzqdBOJMKc30/l6Ag3GuWDR4+YyuVY39zC0XVM3cBxPSQlRLXb5YMPqlhmAJ9iEAo1uHXrNNvb+xwdxfjF25ucPBlhZnb6UxINQRDgmRfiVwnbttnd26PUbiNGosjVKhdf8EUU+JVE40V4nsfjJ08Y+mRSwMk/hqj8fuC5xE8uQaWCaluERAnR9bAODtFHGrbr8f3Xjqtcruvy87ffZtc0cYMhsrkswWCQjdUV2uUSUrfLpYUFbjwzvE8kEoi7OxzU6yiCgJ4+SaBT5NatwvN2aESS0BWFa2fOcOP6da4uP+HtRwccWm0OttcZddpIioJjWbiWhaOb4PcT0XVOFqY5f/4cqfPnuRSPP5ebfNTVsF0XK5fD63SYMAymTpxAkiT2mg0Ouz2yz/yvP0Kv16NULtMaDvFFY/hUP95ojDwaMTZNhKkpPFnmTKdDr1ql4vMx95JF+puKUChEwqfQrFb58Oc/w7Fsht0O9niMox9XmP14JCWZiWiUS7dukTu1hOl6+Pt9zszMPCeNB4eHlAW4t7nJ969e5dLkJI/qdX74ox+h/c3fUhsMeHz/Aa9+/y1SoRBNAdYNnbDnIT16xNXLl8nHYvQDAba2tj7liHLUahHJ5aiMQA22WN8aM9J1vEwGwTQ5sEQyQR9efIJewI9PrzHqa5z2VbnbgZZ1SOv2iOBsHKMRwnU8cAwEtUJuKkNcURjXqqTzBcKDAU1BoOPzMXjyhIufiBH+CLFYjO/cuvW1fDa2bfN0Y4PKaERkZprx1javJxMsnFr61GMFQeD1V17hH99/n0GhwKPlZS5/hUTmZfD5fLz12tdb7f4m4snaGsLMLMndXfYiEYKJBJ6iokyLvDXS+Ie//zu6tRrCs9AUwedDVJTjAJVgEDWVJjY3QyQaw9N1ME1kScIXCCD7VUSfArKMrCjHntGCiF/xMXXuLEEPKkcVRsMhkUSCZDbLtqIiWBav93svTfm8cO4cO3fvsu44HyPQcLyBfufwkFQgwK0v0YF7EWdfeYX642VWfvELbv75n39lx3l1fZ1aIsH8cEj8ExXtJ+USps/Hmbk53iuVCdgWvUgYJRRCsiywHTzTwjRNbCAUCOJGo4zH448VC/f397nf7yP1erx18+anBh9N06QTjeL0egyiUc4LAjc+Z5Pxu8a3SgP9RSEIAvmpKcb1Ov3xmEEyRczzODMzQzAYPB5EtCz0Xg/VdTF8CuGpKUpra1w4d45iuUx3POaVCxfQmk0CuRwj26ZUreD6A4hyEqsdQ6v4sUcOGX+PuXmFQiFBLBbFMEwS8Sgzs1EqR2163SjF0jrp9MeHTI6OjpAjEZKq+pVNzLbabT5cXsaOx7C1EfOJBBfPn/8YeS/Wa1jaiPwnhjBqtRp9SUIcDLj0GTesP+LrhyrLdAcDLhQKzM/OMjkxwcREjolcjnq5gvPMPSaRSHD7zh2Wez3askyukGcuX2C3eEhtZwe9UmYhEuF//S/+xXMNsCAIjHp9hqEIhLPIPoWM0mPuhZCGcqlEWxA4ncsdh/oclEhPLHFmaYoZSaBRbtAbDsBzcUZjHMNASaf5bqHAT77/FvFIDN3nQ2s02NrbZ6/RYLVSZjw5STsapeO65Fotrj+TDoTDYWTPo6lpVEpF4pEIu3t7bOzv07VtHEXB0HVCnsfi5CT5bJadWhUxk0WKRPB2d3nz5k3s8RhlYoLa7i65XO73/TF+ISQSCWoH+2wd7NNrNhnWaoiDPlOKQkFR+MGFC/zk1i0uLi1x9to10rOzuK02FyZyXL1w4WNVoXgshjcaYfh8bO3toXgeY9fFy+dZTCV4/Pgxpt+POdI4uXiCoWHgKT6qwyH5ZJJBscjs9DQHzQaDocag2+Xpzg7ldovtoypOLoelJugaQZT4CFMAV1WxFYXxaIStSkz3K6g+GZ8kk6yViZXX0Y0R9xoqnYMhcnKC6MkkVjuEqZk44zZnFwacviBhGDoX5uaod7vUOx2WJiepHB7ixeO0y2UmfkefqW3brKytcXd/HycSgeEQKRAkMBhw7XNIsSAIRIJBavU6I0EgEw5/rXrof4potdvcq1aR+j1kz0ORZE4ZOrHBAGo1ovE4qcI02RMniE9OIJgmsYkJpt98EzUaJRCPH1eVe30GzSaOz4eSTNIf9GmXyrT39unXaoxbLfR2G2swwBpr6PqYsTbCsm0OtndwBZiQ/ESXFhklEiyVy7x2/vxLh6AFQcDodOjEYij9PokXdNu/uH+fYTDIn548SfJLatkNw+Cv/9N93n3XIBaOEdt5hD4387E14TdFt9vl3XKZCcPgO58ILbr76BE7jsuPT5xkp1ikGQzgn5zEESU6kTDBiSmGAT/hXA5fKASKD8sDS1XZr1R4VC6zXa2yWi5TliXsdJqAZXFYb7BTrbJXOWKzXKLVaLBxcMB+KEgEgYs+3+/Uou4L4Ns1RPhl0Ol0ODw6Qg4GGRk6gmWTDYUIhUIEg0H2NjdxwmEuLCzQKhUZKQpEImxubRGMxXByOfZ2dohOTuIPh3GTSbqCiCUGsZpZBDNIICRhjEwSgkqnY1IqjiiXxhwdmbRaJtMzERYXJxgMSrTbIcrlNjAkmTy+UCpHRxAKkfL7vzSBdl33Y963jUaDu09WqJkmrmWRk31cPnuW1Eusno4aTfTxmLkXbJc63S5P9vexej2uX778rang/SFiOBzSs4/PV1VRsCyLna0tbNtmcXGR3b09BqMRouvy/tYWZVEknstxevEE7UaD4tYWhqZxNhrjz3/wA7LZLLu7e1QqdR4+2qfU9KjbUbyWn8paH0XusTD3q86ONhzSFyWirsPjjQ2USIioOGIowk9ee43insZubYCgRBF9aeTUIoKdI8okAXEaWZml5vYxgzKqJGJpGuJUnvl4jGGvT8CyGKt+Sgf79BoNEvE48XgcWxvSkSRamkYonUbr9fA7DgGOp/GH4zFH/R6r1Sp+UULo9+nbNjdmZwmFQig+Hxvb21hAIZv91th8LS0uklMU8qEQJ5JJvnvhIn9y8yY//M53mJyYoGkYBAoF7G6XE8kkVz/RTn0RsVgMT9MYKwpWPs+41SQ5GNAXIBqOcFipMLBt/D6J/FSBjqbhKgqH3Q7+eIJmq0W8MMMoFsU1TRRFwTJMQkDfMIgKKaRmkR/eOMNCLoenaQjhMGNFIXZ0xK3Ll6mur1NotTG1IZ0zJykVpqiKHeSMQ+a7KslLIpETGsNDDaN8xBu3QizkTFTP49yFC8iOw9BxqDWb3Lp0ifL+PlYsxv7mJulEAsMw2N3d5/79fVZX26yt1Tg4aFCrFRkMBgwG/edr7JdBtVrl7vIyO80mdiiMpA1ZiMexDANNELg0Pf2xIJmXIRgMEpJlKt0OlcrR1z5U+E8Jnufx9oMHjBSFBVWlEgwx69jcuHqVwuQki9PTnJ6YoLuzQ6VexxcKk5ubY2J+nmDAT9QfIBYMcjFfQMUjEw6jaho+w8BwHFxFwReLEZ+ZhXAIJAlHlhj1B4wGQ7Rul0G7janrhGJxqu/psJAlicGibeOX5c/0es5lMmxWKrRbLU4+u+++f/8+K5LEedf9VJT456FYLPP220/5+78bUC6pnDo9Zr8dJbO7zp2tDB+uN3GcJv1eB9uxvvQAdbfb5YPtbUzX5c3Tpz82oDsYDrldr5OzLGKBAE88j6go0nddpisVzEiE9P4e+xsbtAYDUFUmU2lEPCobG1z2+chIEkHXo+U4DEWR6WYT1XXxZBnFr2IKAo4g0BsOscMREt0uP7l4kZmvySbyt8C3a4jwi6DdbrO6uYmSTiPFYqiaxklFoZ1KsXKwz61wmGAwyPnTp3mwu8OTtTXOnjrFeqeDL5HA9DwSrsvB9jZiLMag08H2+RhUyqj1Olp/QKjgEpn3SCYTHG10SLs2t17IhLcsi1/84jG//OWQ11+f5+rVC1QqR6yuHrG/n6ZcvsO1a+cIBYO0RiP4kjvGjc1NKrqBa+ikVZXeaIScSqHGY8iaxvVXPn+AynNd3BdUI+12m+XdPQTT5LUbN760ldgf8dUjHA6zvrHBjWvX0IZD7HKZ7vY2xoULzGUyDPx+lvf3KYkiwWSKxdk5RprGztM1hsUi6XCYU9dvsLvf49GjJwRDGSxTITQ9i6p2yTT28M9PEPfVaY9PsrW1zcmTx4v45MQEO/v7bPT6+Ccn8bVaqKqKXz7eVOVmQyjbZxkPusgJHyFFxx0f0Rd1wtEA4WCLCU1jJARZmsix6rpMRqN0RmMKoxGWZSHPzNAa9NGzOd65f5/pdJrmaMTMiRMUV1ep9bq4ikrdtknncmjDAXYggCqKhEMRQr0uw3SaeLtN5tw54NgnfiaRQItGWV1b+8y2/zcN0WiUn/zZnz2XchmGwfrmJnvtNmIkgojHCb+f6S8YrKSqKlavR71cZjKeIGqa5KNRXNejXK+zq2k8efSYcDjKbDrNXrtJX/Wz2unwF+k0zsY6aiyG2Oty8/qx9KtUKuEIAj51RDblPA/y6A2H7Isi8v4+37txg4e/fJdTAmwlkzSWTlAd65iVCq7eg5CLJ3u4WAQmIf2dIilXwyf9GaflDcqh4zXro6HqfUGgcnTEGzdv8sGdO6hTC7xz9xCzJyMIQfx+H7FoE0X10e8LmEaCjQ0Px3F4cP8JPgUS6TGZTAxREMhmMi+t8lWrVdZ2diCZRAiHCRsGUz6Z2VdfZTwe87TZZNK2PxVl/lnIpNNM1WqMJie5s7zM9z8ROfxH/GZ4vLrKIJ3m5GhEUdNQJYmbn5DvPHj4kL1eD911kXQdx7IYNBrYIw1prHPl9GmCsky6kEcPhQjqOkF/kMqTZfThENNxKPZ6WFNT6LqO3m6jN5vYpok/FEYO+PEFg/RbTdysAJLMSPa4G49RajS4pGmcfcnQqyAIRDWN0cQEe3t7mI7DI+CsZfHaFzw/isUy9++V2N3JI0oRbr1qcePGOWRZxvM8Pvhf9rixvMLj8AVWVyL0exEU1SIUesTpszLxhMr87Oyv3dAtr6+j5ya45jqfCiv6+cOHSIrC+bk57u7tE8ikOZIkTjQatCwLETBcl6gs09INHMvCchwigQCCKOIXRW5eu8bG9jYVy+KyIHD+WVfn86Ss39SB8D+YCnS73eb+8mMGogg+H16vx/mFBRbm50nE4xzs7BCZm2d/d5eAKJJOpzk6LOJGIhxVKsh+P+PDQ6R4nE67TTCRYBwMYrTbyJ0OlxcWqe7tcdjtIEcjqNEw0ViMXr9HbDDg5DNvRkEQjiNYC2nK5T7lcotUyk8mk2FmJo1pHDEcJzlslQgpIl3ToJBIfqoCvb+3x2Aw+FSlqVgq0XQcrEGfaC5HPxZDDQbxmk3Oz8+z8Ox9fBYEQWB/fx/Hc1mYmTnecBwcYBs6b/6RPH8jIMsyazs7OIbJ3PQ0/kCAaD7P7vYOvkYdKZ1iZXuHNcvECwRYWFggHAiw8uQJnVoNyfO4evYsuugjHJlFNiqk0gamv4du15iSHW5cvcJhpUQwHMQNhClu1JmZPg4ncF2Xp0dV+pKAZBgEsxl6ts04FOJwaxtPnmRlrYUQW8M36WNhbxVRHDMKy5zOpHj91eMBjyPDoFYqoUxPo5km4uEhl86dYyKXY+/wEMF18dotmMqzpyoQjxGWfeiOg+vzIZoWEUFAGg45NTXF2ZkZZjIZtrY3GYXDuP0+b928+bHzXfH5KJbL9AcD5guFb+zC+zIIgsDm1hZr5QpMTTE8OmIpnebqufNfuC1brdVYr9UYaBrfmZuj3GrRNS3SwQDTsRiWJFFqNtBFgU6jwcLcPEgyA8tkaJrHMgRdh/EYXyJB7Jm8bHdri6go0Gq1eOXCBURRRNd1HhWLDH0+MqbJQbeLP5elKEm0bZtwIkFUluk0Guzv7hI6cQIxEEAUJYzBAMnTuBAdkYrME3D6qJMBMs8s9CKRCIrnIcs+njzZpNtSaZeD9AyJ9KTEhVMyly9PMz9fYHp6ksXFHHPzCc6cSZDPS9h2G0kyUOIxGq7JCCh3uzzd32f/6IhSsUi302H98JCSpuEoClHT5MbZs8zPzBCPxxEEgTuPHuFGIpzM5T6VHvt5yGQyHKytoSeSDCq/O/nJHyranQ7/UCySHo9JRSKU/X5mPI/CCzLEwWDA392+zb6mIfpVJJ+MY9vHsxqmxbn8FKfzBabiceTRmLEkEW53EBybWC5H4PRpJFVlenqaTChEOhTCUVX8wSCWYTCqHNHf2aG7tUWoUGDq1jU6vwyRmXGxRZeDYpStVZfucBVMk1Aw+LH76Ww+z+PtbbR+nyeaRtay+MkX2BQXi2X+6q+e8u47EXQdXrk55F/+5RlmZ6eed9kEQSCSy6E9eIfATJC/+C9vMTHZIhhsog1NDpoh2imHp6VDDksl+q0Ww8GAUCj0sVTLbrfLg8GASU3jyic02Q+XlykFAlzw+2l1OjSmJtCGQzKtFtOJBGVgqtvFNztLrVqlK0AgGkOJRhiNdQadDjnDQBJF7vX6pPp9rp0//7zb/RF/etnXNxTf/gq0bdusra8zkiTEaAy73ebCmTMfE6qrqspkJEJnOGR2aYmn29sIgsDl8+d5f32d1KlTjNbXee36dX7x4AFiPI46GhHpddEkmaWFBaLRKIvz89yrVHAMHcswsG0bfyhEpVT62Ps5OjqiXu8gSRIj7QL/+T/vcu5ciYsXz3Hu/GnCB4fsVcYY0RQ+y6bd6XyszdLv99GXn2BMTjD9wlS5pmnsVCpMnjmDJ0mMNQ2rXEZKJhE+I8r4ZZAlCcO2cV2Xxxsb+GMxTkxM/JE8f0MQCATAMHjR9EdVVa7+6E958LOfEVtZpWLbjNJpchMTiAE/y1ubNNstlEaT76SSzIRCJBMxnrb2UFN+mgL4JIFrCyeea/AEbYQ6PU1OMHH753j//SecOZNjY79MYnGaVLPJxfPn2djcxOz18EejjGyb/tGIUESjHwwgjEeohs44HMIwbertAY7jIEsSoutiLy6i2zaBcpl0IsHe4SGlTgchHMaanibu86EPBuQGAyxZxvQp+Ho9rp89SzAYfOk5HRYldlyX705OftovNRIhYFlI+Twrq6tfyhrv94lypcLq3i5KNoc50kgcHfHKq69+KSlVtVZjtVplpGm8dekSoVCIxeGQoq5Tc10mRZE3FxbQDYO/3dpiMB6zcu8e89evEZR9uPE4y80moWiMVLdDIJtjdf0pt268gtDrYbkucVWlWquhjUYc1us4J0+SE0Vi8Tj17W10w8AE7HCYhusy71cZqCpePAayjC/gx9YNxu02/sGAcxcX8WoGSlKgNh6zaBiMx2Nq9QZbm11GowCqmkT1N1iabZObyLBaLrN6OMZ1HaaftXVfPA/i8Tg3bx7r691n1lnD4ZDN7W1sWUY3TXzxGN1AEEOSWFRVFufnPyX5qVQq9GSZYLtN5kvaZQmCwGuvvMLbH3zAOF9gd2+Phc9wE/kjPh+O4/De1hbZUIhbc3P8w+oaYQFuvkA+NU3jr3/+cw5HIwRFQZJ9eK6LYxjYgoBy7iy9cIQPHQdx0MfnU+hIEpl0mlwuy6jbx/HACEfohUN4osTQMpkI+FEjEfYSCXjjDbqlEtreLon5ebrFI+rvRLDLKtNveuz9pwyFiQH6Qpn3NY2Hjx6z4FdJRCJM5/MEAgGmFR+Pcll8xSLfOXP2c3/v1fV1NlptGnuThAX4kz9tc+XK2ZfGuNfrdVqtPs2pOZJb2wyHQ+bnZ5mfn8XzPDzPo1QqcVAb0hiPeerzoZoWj548IQ6kFIVwMMiDeh3Z83jjBYcZgKGmsW5ZpMdjwoUCG4JAy7JxIxFmRyM2NY2MJJFWVd7b3ubAcVDCEdKRCBFgfWsLo1GnoSiMBwOi+pjv3rjxrZc3fWsr0Lqus/b0KevlCpYkIYw0Liwssjg//9IPJZNOs7u5iek4SJ5HqdMhqig0ul1012UuFsNxHAaeh9ftcmphgXAgRN9yqZTKRIJBOt0eR50OY4FfBarIMoOjGlJ/yPr6ATs7fRoNFV0PMB538PuP8LwkvV6c8XiXiYks8XicXDpNbX8fjUnGZg9nNCQWjSIIAp12G7VSQU+lyE5MPP99bz96RGBpCWs4xKxWuXziBGdOnMDq9RjJMrVuF63dJvNCutHLUKpUsGWJSqmEEAoxl0h8aqBwNBrR6/WOU5D+qIf+naNYLqFHIuzv7bNdLrNVKrFXrdJXFHY6HfzVGs7sLOHJSaqVCrViEbPV4vzCAjckiQPPo6xpeJJEP5clbBhcmp372ABLIBCgVK1iaENSM0l6pSiVKlTMPLLV4cqJKQKBAJl0mulCgeWnT1E8MMwMw0iXzqiDPBwy1e1SSSRwJJG5zCyLU2mGmsbTTpuh38/5aJRWt8swGGDsOGCaSLpOKBxBkSWC1So3z50jaNsUt7Zwkkn2K2UGjSaxaPRjGztN09jr9cjm87QODpjL5z9FoqcmJ9l4+hTDNJn9AlVox3E42Nuj3WjguO6v1bl+lXi6vs6T3T3KYx1VUYiZJq9dv87Ul4xqrlarPK7VwOfjaj7/PFwjFovBaERrNOao18PvupzJ5zGHGvumQa/bxZN9nJ6fp6tpOD4fe+0WsXyeuUgYQ9dJhkLUVtewcjm6lknN50NLJhlEInieRz4QYCyKGNEovWiUQCiE0e9TlkQOxzr1dpvQ7BxiIIDqD2AMh4wrFc4JIhNLbzKFhTvYxpufZ+fggPpohC4o2EOL+Vkfb7yxyMkTBXK5LKFQiLAk0dU0xj4frV8zXPhRBUtVVTbWi4wGAoWJJDPZDPXDQ6zhkBsvZAm8eE58uLJCIJHgXKHwparPm+vrbD15wvT8PJFAgEq9RrXTZiqZ+p0Qhm63iyRJfxDrtud53L5/n140SsGy0HSdut/PpWTyY3Kc927f5nGtjiGJSKoCCMfkWdNI6DrfvXiJVK/Hf3XjBtcnJslaFrbrkG21SfT6zKsKvlaTjGUyqWlE222apklHgLOaxmBlhccffsioVsOfzx/LOlyb0YbMYD9N/ZGP8IREIHHIP7+V4Uw8jjnos2dZ9BMJnuzsMGo2qWgjakqQk/qYCy+ReozHY/YPD3lneZl1w8BvWZyfEfmTH1ymUHj5mrC/d8hPfzrm4QMZ1AUimy3u920cYYggeITDoePkwliM2Xye07OznM/lSNg27mBAdzSioaq0YzEMz+P709OfstX9+zt3MAMB3lxYYKdc5oHPhyeKBEURIR7Hi8WIN5tsNJs8aTRQAwHmwyEEVWV7eZlesYjYbnPpzTcRgVORCJkvKIn6BuPbN0RoWRb7Bwes7O4ipVNY3S7XTp1icX7+1w7iCa5L27YRh0Mc06RiW/gnp4hEo4yeJaxZ0SixZJJqp0NvGMLtJ6i7Qaq7OoOeR1fr0vd0lHgcORxC9qsMxi6+Vgpb1wgGLU6dijI/H+HixUUWFvJow136/TD9QZTxeI/JySw+n494LE5rb8jUzCR9Z8T28jJHa2uYpRLecMjMa68hCAKrT5+ydnSEk80ilkqczuU4ubj4XNyfTCYJyzKVchlD9XOwvc3kSyKfP0Ll6IjMqSVcQWQmEqGQz6NpGgeHh6xubrC6f8Bhp0NzMEAwjM+dDu50Oqw+fUruWzS09W3AzmER0zCJSBKqIKAKAq5l0fRgHQjF47wCdEWR0vY2ZqXCpGnyyokTaKbJhDZCiEYIeh62KCIrCl6/Ryb9q0UrGAzSrddJzM+DLNI+DGLKCtkzFmovQ/ngCdnssXTgsFikOh4RmzlHrRtCmTLZf/wQv+sS13VqsRgeIqOawumZKIfDAdNz8/RdF0PTkPt9Cv4AlxYXESyLnuNg9HsIokgImMjliEQizE9P4zdNGo0G43icvZ0dgrJM9FmH5t7jx7jBEHapiBiPkwkGX0pK5GfHJiKKn5vIVSoWufdv/y3Zv/5rIvcfUl1ZRZ+ZJvY7SHcrlkoUHQfRczmTTnN+cZH81NSXvo6qtRr3jo6wRiPeXFr6WLATHJNoYTxCEwSEcBh3OOTC3CyH29u0IhGG7TYJf4BUNkdjNGQkiHiGwWQ8Tst1WdndxclkqEoSouonF43SOTxE6Q+YFQTKrstOv896p8PRYEjL89hXVAzZhxCOEJ6YJJ3OkEiliUdjjIYDxrt7vDrxGnF1EinZwlZkxoEAejSKVK9zeX6Ws2dmmZg8Xlde3ASFQiEK2Sx7W1vogsDcFwiiqtXqPF3zEwiGKZUkyiUNSTJRM1kyQfVT51C5XKbn9xMbj1n8kpXjw60tpFKJyQsXjocKRZHaaEylXGbhhUGoytERO3t7rB4cYAwGv7bw8UUwHo95tLNDqVhktlD4rZ/v941Wu83ycEjeMDi1uMg7+/vEDINXnmVBAGxubvLL9XXajo2kqIiihGNZONoIeaRxcXqamKIwCgY4NTGBJEn4VZX7m1tYwSCuYRB/Fl4UDgYIBoLEw2H8vR5WOIznOBhjnbU7d7G1EerUFN3lJ4g+CcFJYLcKeG6f5PwYJdbh5okQc7OzzBUKnJucRD84YKRpFFMpNs0w/fdyTJz0o4xazze64/GYx6urfFAscggohsH3Fha4eeECU5MTL10TLMvipz+9xy/eDpFMNfhv/7tFIsk29UwAV0yxuaGw/LjH48cljo4OEQQL27YIh8OIokg0GmXmGaE+lU5TW1vDmZhAaDT03OZCAACAAElEQVSYela4g+P4+kf9PvOOg6oovGMaaD4f+V6PmGkiR2No3Q6bBwes9/tI4QinHYf5g12WTQutWESp1Vg6ewYhEuG8onztoUe/I3x7CLRpmqyurbFdreJFwhj9AdORKBfOnv3CDhaxaJTdzQ1sVSWhqvRCYaRuB7vdRk4k6FcqRFIperu7WIMRZr+PY7VQ/RLhtIooWhAO0BAM5GgUwefDGI8ZjQf0vTptp0vbMaj2e1RaLXbWDygfNnBcj0Cwi2lm6HbDFA8e0SzvUtvfJ2bESWh13GYJQ1UJZjLo4zEhSUYLhVg5OMAMBokWCjj7+7xx4waiKHL/8WPWq1UOjo6olcvEIhHOLC3RqVYZ+Xzs7e8TkOWXTuDuHBxgRaMYpRJ9bchWpcJht4suiuiGSUiUyIZCXDp5kkwm89IKXr/f596jR5TGYzxBIBuL/VEC8hVi4+CAAPDdV19lJp8n5PezvLHBlq6jJBJkL15EQkD7+c9od7uELYsf3brFq7du4akq/lqdgetw47XXqDWbjFst3HAYYTz+WIS7LEnsH5Y4LCdJJwX6okkqbSF1VxkOgmxsD6lrR0Rn8rjxBI2eSyRoEjZcNh9uEhn1UW2BuhJnVAyhHaSYPpdCn4zgDIcYpRKqJHF1fp7pQoHHKyuMAwGc4ZCrS0tUNjcRej3ShQKyLB9r+SIRFqanCZgmbV2n6rrsb27Sa7fphkIovS4XT52iPBjSLpeZeQlRiEajbO7u0mg0mPuMKnTp8JDH/9P/RPIX75BuNvAFw0RaTUqVMoELF46lNF8jXMdh3Ghw4/x54vH4b7QBPapWWanVMEcjfnDxIpHPCGSKxWIIoxFtfYwTCrN/cEA2meBoPKbvuAyGA+RoFEeUUWSZoeNgDAaEQyHMep3JwYCB67JdLnNgmpRVlVUPVmSZI1lmFI5AJIoQjaLG40RjcVTFh2fb6IaOYRqMB338qp/JdAbLFggZMyxeBKvXxJfPo9RqOO02UjKJpOukPxFZ/yJEUWQmn8cejT61YXgZ3n33CZLo43vfm2R21ke7XcKyshw0/VSaGzSrZXBdIuEwnudxd3WNkT7mlbNnv/S6Vi2VEIYak+eOW/ShUIiIJNFqt1FkmZ29PdYPD2gYx/7pznBIYWLit46bd12Xuw8fImWzhF33W6+77nQ6/OPmFoqu84ObN7mzvIwwOcnZSOR5UWdra4uf3b1LxTSRVD+ST8a1bZzxCKc/4Gwux598//tIosiBaRHQdR6urbHTbGLlp5AiEfqxGHVJYijLlBBYdRyOZJlAKk1GgCeexyASoXzvHoJPJpDPMz48xB2PCc+eYbQdw9V3Mdpj0udlEtSeR1aLosjkxASYJltDiyf/cYLpgIB8dshB7YjKwQF7h4d8eHRETVGIjka8VijwyvnzzzvSL0O93uA///UalfIkl680+eEPL+L3+0mlkiws5jlxIsqVK1GSKQ3P02g1E6ysyuxu22wc7lDtHCI6NqZhEA6HkSSJmXyeg50desBsIoEsy2iaxgelEkHb5o2LF/n56iqtRJJJReGK52GYJmXLZryywq6uI0YiTOZyXF9/ytPRiN2xzmubW/zZ4jy88Sa1RoNr+fzXEhz3e8C3QwM9Go24v7aGkkljVY5Ie3D1NzDPFwSBkOrHSKcxLQt/OELMryLiobsu/sVFHNfFdGxwwbZcPBecbhczHsJDIxAQoDHGGQzQnumIBUFkpPhATTAQBJoIuIbI0d9P4Xb8HHeUOsiSSTDkQ3JPshRtkJwKUVbiFJ0K1185R8A02SyVyExOIlk2B4ZxPP3rOPQ2Nri0tMT2zg77rRbRbAZ/vYENSFNTPK3XYWeHU/PzzKgqy9vb7HW7lI6OuHjuHJ1Oh6N6nc5wiJFOMzQN4skkWrOJKghMZzLEIhFSv0brZ1kW9x4+xAgEkCIRlH6fc6dOfW6V74/4cuh2u4QSCbxeHzhuJ99+8IAdgHCEdD5PWJJ53KhjOS4z1SOmvvMdbt68CUChUODO5hbZQZ96rYal6/g8D1sbslqvk0mnn3cvgsEgrdYAYhbSjMEpSWLnsExadInmbRzfCQZDj0bPYOSNGR4FmRa3abckUu4JvOUmFSlHazcDsoA452PPp3CqVKaQTnH9/Hke1Wo82ljnrVuv4tgWUrfL61evIkkS83NziE+fsrOxwdkXPHYFQWBqaopsNsvyygo1v59WMoXdaVOYmCAQCOAbabjRKJqmfUp2IQgCCVnGSiYxTfNjm2zbtrn9zi/o/M3fEl5ZwQXcmVk8XLRqFdO20Ecj+Jqr0IlE4nkF6rPwwZ07eAhM5Y6H6yRRJJ/PI4oiR9Uqy7Uapqbxg0uXfm0y1/T0NBSL7FkWwTNnsHZ2uVIo8I+/fJf6RBbW1/nOa29w2O/REwT2e31q9QZGLM6TQAB/KIh68hSK4iMgSuQFAddx0A0d3TDQxxpYNn3LwjZNbMPA1nUc00KNhElls2jDPrFYgqUrFxhW67Q2trhomRwlErRMk1uXLvFwb5eD4ZAZw/jc4oggCJx4wf5L13VqtRqyz0d+agrDMKhWq7iuh2VNkck0CQQCBAIBvve9G5RLJc6WywynZjjSBmwbBut376K6LkI2Q0HXf7NNlCTj2dbzf45GI8bjMZ4Ah6MR1jPSfDqfJpvJIJ048ZV072q1GuRyyO0WFy9d/q2f7/cJz/O4s7ZGaGqKc5KE67rs6TqFapX5Z/f+4XDI4/V1jiwL4Vnoieu4OLqBPdRISgI/eustJiYm6PX7hJJJVrpdopkMHUVB3dsnrihIgoAiiogcp76qnkcwnWYwHuPgUQgEeGpZ+ONxbMtCkmUEz8NqNhGWDggvpRg87uPaBqmTFzAlg1q9Tu7ZQOxQ07hdLjPMTHElH+BE/iH9no+gojDyPKrAKcviXDbLxEvkRJ/E3t4Bb/+jh67L/PBHNidPXvvUYz7SSS8tLbC0tIBlWdi2zaNHT+mObfrhIE8EAXmsI9+7Ry4YJBYKcSqZ5L6us7KxwfVLl/hgeZlhIMBbCws8WFujVygwEwwS3dvj1NWrrDx6RKNeowuI4TCZTJac66FsrLO2cAKh0WTeNRnNL2C6LolcjnsbG/z5t3xz9/w4/77fwBeBJEkowKQgUrh58zdebDqdDppfRTk6Ij0aMVBV5peW8Pl83HuygnzmNHqvB6KEJNlMz8eZn5vj7qNHCNKQsaexrluo2SzxdIZBrYo1HiNIEogiPEsWRBAxakHGdRPPcdB1EQjgeS60TEBg18ugboWYm/URDBU4c37M7OwMmXSaX7z3HvuOw8XUEnudLpZtM51M8mR7G18mjU8QSLseJ199Fc/zqNVq7FSrGMEg++Mx5uEhQVFE0zS8qSl+vrxMMpXE8PsJTkxgbW3ht+IspNNkFxe/kFbOdV02trYodjok83mMUonzZ86QOHv21/7sH/HlMB6PCaeSGMMhjuPwi3ffZV3XMYNBkpMTZJMpDp6u0SyVsG2L09/9LrGFBd778ENuXruGz+fj6nfeZPOv/or62hpqLIbm83Eqk2VH7vDL+/f54euvMx6PeffRI8LJIIJ6RM9JIcsS0clJJEki5vPRa9eJ4lJb9RNKuCiDHrPnJhj0mty6Ocude7dpBZOouRCC4uEGbMwVg+t/eZL0s5Z0ulJhV1Eplkpcu3L1Y5PV0zMz3Hn6FLVYxDx9+lOtdFmWuXr5MpZl8fDJE+qOw74osr6yQtTzMESRx6urvPYJs3+A00tLbG5tfWzoptVq8eT2beS3f0H0yQqSAK6qUB4OEByXrmtT9Tzmft8nwTPojoOUzbJpGAiiSDIWZ/nuXQTPwwuHsR2HU5kM7XabbqfDxMTES4eMPsJwNEL2+VBHY7TpAjN7e7x+/hx/t7ZGc6yz+eQxJy5eYtw0kCYnSCRSiJ6HaZpYpoFhjOn3O5hjA9t1MA0D1zBwNO2YMI91HNM4TlI0jOM0RdNE8vng6lWyc3NU+h0KsSSxiSzFgI8F22ZQLBI/dYqDYpFCOMKeKPHu/fu8ce3aS0n0eDym0WzgedDp9agPhniyTGxulubeHslEgg8fPSJ38iStzSai6OPUqV9JMQRBwKcoeMaI/sEeb968yfbuLnuWhTUzg3V4yBsvpLd+KQggCwKHh4fslUs4qh9fLIrlekT6fa6eO4f8FZHmj1Cv11mv1xBMi8tnz36TnQu+EFrtNp1wmLl2m8KVK9x++BC/onD11Knnv9ud+/fZ7PWxJQlJ8SHg4ZgGzkgj5DjcvHiR/LPk4v54hDsa8ZPTp3nn/n0CgQB//uqrL5V/2c8KY7qus7axgWRZlONxwrkcI22IMxyC44LnYQ8bZH5YxdUaOOUmg/4k3fk4/1ipENzdZS4SYbPTYaCqzO13qBoFvJCNZAu8OjfHUa1Gfzzm9cuXf20RyrIs3n77AavLWdLZJt/9XoaFhbnn/+84Djs7Bzx92mRpKYWqKsiywNTUsUGAz+fj1VevPn+uUrnMQbVKz/PYlSRUBMxOBzWVYkMbkj08pCpK5Mfj/z97f/okWXpeeWK/u/u+LxHhsW+ZGbnvmbUBBRRBECSbTXY3W93SqCmzlum/kMn0Tfo8pg9jGvWYWmobaabVw2aTQJEACKC2XCu32PcID9/33e+uDxGVXVkooKpQIFBZxClLq4zIcA/36/e+97zPc55zqNRqbEoSwUoZJxji6sICq5ubFGybSrGIeJKCGwkG8bzzM5YVmU67w2vRMGOajHj6NHvtNpOGwQ7H1+8/dIfvN4GXQsIhyzLjY2PHbchfcWHodrt8uLmJ2eszbZr4pqepnFRPJUlit5AnPjqKlM/jlWX6loUTDLC1W0GKjtOtVVhv1amrKvF0msXpGbr1Gs1iAXuoY59E7zqDAfawT3cHjKqBIHQRhB6C0AN6IPSBAYJgIkp+JiYUmg0Pne4qFy4c6+M2+31Ux2HY7+OdGEcvl+mrKoZpEjQtXrl27XlEsiAIBAIBJsfHGY1EyO/uoiwsMAyH8cbjyP0+iqIgOC6S62JVKty+eJFWqcT87OxnkmfXddnY3OTJ7i5WMIjT7TLq9XL5N9Di/seKbrdLsd3m/PQ0xVKJu0dHlGWZ6MgIqUyG+tER+a0tzEqZK5kMr169SrtaRRodZX9jg8zICKqqctRuEysWaXm9GKLIlTNnkAyDQr9H/jBLtlQCn4/5aJR2qUQrEqZv2wQkibJxLOXp50r08j3C/hCHnRDdbg9vuUvHTjI5o5F9/Jj82BR6xQYcXANCZoR0qsH4+PFgaiQc5vDoiJbrEtW0F84bQRCwZRl/pULBNEn9gsqEJElkRkeZTiZpHRxgDIcYkQhDnxfdtvEYBrIsv3BD1DTthWG8o2yWrb/7O+z/+B8RDg+QJRFR86C7LpVul8N+nz1VQX3jda688spXYkJ8YnSUsWCQ6UiElKpS3tkG20adn0cCwl4vJcui6bpYfj/P1tbYzWbJ5fMMez0GgwHtdhvTMPB4PDzZ2cHu93FbLXrRKFYoRLTbJdbvs5bN0rYdIsEgI+kRKo0ajWqFWrFAvZCnXsjTyOfplMv02i06hQKt3V06Bwd0sod083l6hTz9YpFBpcKwVEavVTGbTZx+D9NxEWQZj89HD5eE30/btim5Doo+ROj1GJ44Jnlcl5bPx+Ckklcslag3GjxZXWXz6Ii9ahVD1ajoQ1AUjG6PeDpFv9PBbxjsVioEYzEa+3lyh2kcx6FcbtBu5xgdTR93I/1+Vh49BkFkfG6O3f19el4fYr3Oty9f/pW6asVikXKxyIjXx2EoiGk7eEyT2XiCC2fOkBkbQ5KkXyvBdRyH+8+eMUTg1unTL317vN5o8PbaGuPAK1evsrK2Rs7vJz0ccvpEO/vho0e8v7VF03WQPBqiKGIbJlavj9jvc2V6mj/83veeH+d3d3bw6Tqy67Jl21yJxX6h5lwURSRJQtM0xjMZYj4fxVaLwWBA17IxW23sThtcFxwb//wUbucI/bCJJxwlI9Z5fWqKVrtN1uenlE4yrptkH8UYnczBVJAlTWN2ZoZWo0EvHMYqFhn9JVVZ0zT5/gcfcNgeZyZd4p/8k0skEi9KnA4Ocvx//oOPx4/9/PCHQZ4+DlMoqDx7tkY+f4TrDhgMBvh8XhRFIRqJMD0+zsLYGHOhEN7ucViMCwziCeo+P1a9yrcvXODtgwNCmoYaChFvNDg1O8vfPX7MRrmM5PWSTKeJBIOUdrZZeP8dHngDXDx3jlsBPy2fH2V8goplcXNqiu1ymWalwsynDIC/ZHg5JBxfFo7j8GhlBcfrJdBqH5ul12r4TrRt+onXbb9WY2ZsjJF0Gtd1qVarrBV36Vop1hs6ba+XSDLJ3PgkjWqVWrmM2WoDLggiiCKCKIIo4OguuCYuEiCAKx7/HxFccPFgWSFKRQ+jGZX93UkODrIkEjGaukFGFAksLuKRZXqhEHKvx5tXrvzS6pIsy+iAfXREOJHAbrdxNQ3JBV86RW1nh8sLC/h8Pq5dufKZx61SrbK8uQnRCI5tk3ZdZm7c+FpMd3+V4QLOian8ew8ekHVdwlNTJDPj6I0mue0thpUy86Ew33rtNTKZDOPj43zw4AHeuTnee/CAV69d49yVK2wVS5yPxih2OhTyeSbGx6k3GnSTSVQEyB1xuLmJLxZHM0z69Rq9Xg/VcejMzWH2e2iKRL+/Tyx9GmvST9kKcbirkgh3aMei9LbbuKoPJaSh7/YpOm1KJQXbto+7R6rKdDRKQVFY3djg1ROpyUeYmJri3sYG6s7Op1ahPw5VVbl6+TKO46DrOvcfP6E6kmZN1zFXVhhRVcZHR0in0s8XZ8uy2NvZ4eAHbyP+5O9RBgNERUZQVPqWTcs0qDsOzWiU4I3r/Nlf/O9+o04cvwyyLD+/5jVNY2pyksfFIu72Nq8uLT0/VpZlsby2RsBxMF2Xvm1TFCXQdWRVxW42aWxu4slkkKo15GQcdzAg5Dh4MuOkPB5Ws1l2s4c8C/o5bZpUD/bpdTrYgwGWruM4DorPd1ydq5Sx2m0c3cA1TSRcfLKCbFmoHg9TIyN0K2VkXaA1MYkaDHCwu0szGMS1bVJzcxyIIlPhKKVKGSUWJ+r3o/r9PHryhG9cvcrhw4dUIhH+6p138EUiKKqKlkqhFwoEBIFJj4fY2BiGYXCvWsEWBej1iM7P4+wXGBQl8ocXEASNRPIRpmnRaEzy3nuPuHRp8Zho+n04tsU79+6hjo0RKBS4cWIB+LmvV9fl2fIy2XabUCpFcGyM7qPHTC7MM3L2LDs7Ozzb3+fJ3h7T8ThnvqAl3mehUCwiJxKMDYdfWkf924au69zZ2gJZ5uLJcdqv1dBVlfMnXzuOw+OtLWqWdewrLkk4pnVcwOp2uTA2yuuvvvp845zP51EjEZK6wUa9TkDXmb18+XO/pkgkgvv4MSPj4+RLRXr1GggigiRiVGsMy2UERQTBoL3foTsfwe/zkfD7OXRtMju7NNwMVSHD2K0gWjlP8mTwdXFxkZ+89x6jv+Rzq9Zq/OTpU4RYjDdHDeZnr71wD87lCvzo77LcveelVB5iGC6SNE88ptBqqwwGFykW4MMHBvG4g6I9Y2LcJhgFQ3LBscB1cSUJSRRRej1Gw2H2TYNALM5fPnlKW5IIdDoIjsOpyUn+8m//lvVOB9HrJZ5MEgkGyO/tIm9t4rZbjF24zNXZOdLv/IiVq7doVKrIjk3k7FnORSLsyzLFYpGxT7h/vWx4KSrQXxZ3799HHR1FaTRIDAY0vB4C/T7xsTGi0SjVapXGcIjSbrMwN/e8xez3+ylWyzzrlGgIOtFUisWpaRq1KlvPntHJ5YjbNiOaB8kIEdNEJGzo93GMNmanjyD0EYQeLn1cBsAAly6uawNBDDPISFqiWlOxrDUUdYiRiOP3+3FUher6OvPJJKcWFp4PWX0cjuPQbrfZWl9nc38f7+QkKcehXijgjcWwSiVMRcb0enH7feqlEiOpn59s/wjtdpv1zU02dnepCwL9QZ/pUJir586RiMd/57TxG0C5UmEAaLbN2uEh5eGQGZ8XQZY53N6mfXSEv9fjzWvXOHPmDIIgIIoi6WSSg7U1pEyGw40NJjMZBl4P+6bF9KBPQ5KIJxIkEwmWnz7FGwjgCAKiYdAzDGYcG6/j8M1bt1iYmGB7bQ1RhLdev0G+kkWdCuHIBoLdpWNo2F0PjwuHdMoW2nQYq6TjDmxM0+LqjfOkU9bzanM8Hie3uckgEEQzjBcibz+qQgcHAwqDAcnPoY8TBAFFUZjIjHG0tYVkGIi6jh0OUxgM2d3aolWr4fN6ee/uXQ4ePsT3gx+gGgaSpuEqCl3TpGEalFyX4cQE8//kj/mTf/kvf2Ec728bhWKRR8UC0lDn9QsXCAWDz1uzmqYxkckwNT7OzMQEM6OjjPh8ZIJB3GaTfqNBYGGBzvY2ruvi+LwESyWuzs5ykMvRU1VOnzrF/voapUqVcqtNc3+P3tERw3r9eNbDdbFzOcRcHqXRZMLn4+rUFJcnJrh96hSvnTvHKxcucPONNxgPhQg/ecK84+DOzmDF4gyGQ1oHB0jBIGavjycYZABMxxIctNsM1tcI+3zIU1McPn3KzYsXOdjdRRsfh1qNxXSaqWSSxZkZpiYmCIVCOI7Du48ekTl7Fo8ngGUm6R35KezHaDaiVOoigUAfr7fJjRuLDAYF8jmRg4M6gYCDEvCjZTL0NA/hfo+r58+/EF38edDtdlmv1yEexy+KuPU6nlqNyJkzHB4dUVcUJOHYVq0mihzt7hLweH4tm7RypcKzQgGh3eLmlasvrOndXo9qtYppmi9Ft9B1Xe4/eUwlGGTecZidnmZ5dZUDTeNGLMbYCenc3t7mwfY2hqYhayqu7WAPh1idDglJ4k9+//efSzcADnM5yrpBTJaoyDJXR0ZesPP8LLRaLQ4liZIsU1leoVetIogiAgLYFnIggOpPMtgsIaCSmY1waizOvV6PVKvNH736Kvd+Wmf+gg9NbeB4fWSHA7bXN3AGAxrDIT7XZfpjrxmOq84/u3uXB+02gmFyOZlk8UT602g0qdcb3L+3zv/8P0m8+/44tXoVyzIRRYXxTIhA0Ee9DroOmgaqKtHryxTzI6yvj7BdjTO8FKMY8iGOJfGk0vhSKdqdDsNGg55tk1NVPIqMV1UxNY3Trsvq9jb3Wi0Mr5d4IkEiGqOwv0c1e8hcLocdT/KNf/qn9At51GqdwtWr9CSRgGFwemaGSCjEyt4ejVqN+YmJl7kK/fWvQOdyOZxIFDOfx9NsUhUEUmNjhMtleie7uGw+z2QgQL7ZfIEgPnvyhPVSmbrPSzSVYmFyika9xtazZ7SPjkgj8cqVC9y+dYu/+7tltFAYKTYkYhpomodyqUKl1sQKRKjlqwxrDXo9nf7A5PDAwnGqGEaCSkUlmfSws50iMVGjG4sh1GqkGw0WxjLsHB1R7PdRhkPOLi3RbrfpDwYc5HIYjkNyOCTq8dBdXMQ1LWrNJrcuX+aDR48IT02huS5uNotpWeheL3e3ttB0ncXZ2ReiOpeXl6mJIoGxDHbuCE+7zRsXvlg15nf48jgqlfAk4seT5rqB2myhVipslcq0Oh18wyGvnjvHzU9EtmuaxivXrrG9u8tRNMq7Dx7w6tWrrN+7RwkYdDo8W14m327hGRmh5fEwls/T7HSO/TxjMRTbBo7bmBemp3lwdMSP7tyhEQgQGg6Ruj2mRRm/V6bkb+IJh9EmmtgdC7ttIwoSieQ0H2a9dH6wyu99e550OoUgCFy9eJEfP37Merfzc1rdiclJ7m1sou3tY54+/bmdD0RRZDIapaEoxC2LzNgYKxsbdDQPRiLOX374IevVKuJwyJuqiijJ2KJAe6jTtG0qQHNklEvf/S7f+v3f/8pW8Hq9Hs8OD1Ech9vnz3/mwODHK9cjIyMc1uvIR1leP3eOYDCIrut4p4/DQ26dPs3TlRXGRkb4p1eu8h9/+lOavR7BZBJXN5idnmQuPYKQPcKbSJCZm+P6tWvP10pN057/rnvvv482HGKaJolKhaBhEJIkNlMp0qUSm+025e1thDNnYH2dsXPnyEoSs2MZdkyT0M4OIb8fYXGRu0+fcvn0adrtNts+HzvNFqP9Pgsng4O1Wo0H6+tETp+mNITCY4Vh7vi8iURkwgmXwEyVUaXAcBjj7bcPmZ11ef2NDA8f5nm6pmKEWkj1HLOhEGfOnv3CN3PXdXm8uorhOJwJBtkrFvHGovQQ2F9bg0QCT6XCzcuXURSFXD7PBrDWbJIvlVicm/uVyW2v12M9l0ewHa6dO7Z1c12XXD7Pw7U1DoY64ugIgq4zOhzy+vnzX2nv3Wq1yq4gkmm3uXb9OpZlsdFooNg2Mx8LRFJVFdFxcW0L15KxTROr1yPg2Fw7d/55uM5HOKxWSKbSZA2DcV1n6mPhZJ8Hjuvia7U45fWy7PEgOA6CLDyfexocHhK4PY8c0JB8eYbWEj86OsITDLIwMsLjlRXESxJCvMNIpYnP46HQajEIBHhmGEiJBOZgQLVafT43Ypomf/3++9QTCVKNBhfm5xjoOn/9zju0LYt2boTawSS7O+epVIc4zi4IJoqs4fXKdHsFDLONLPtwidBoSDiOhCRBKAgjowK2rVH5H2X6Cuh/VMNMW5iaB8t2kIDZQICuqpIslchKEsnhkPxwyMNul6HHQyweJxGNUsoeUjnKYvQHdK7f4K0LF5ibn+fh2z+gPDODUanQHRtjbDgEjgfXFwMB9mWZQrH4cxkULxO+1hXoVqtFdmeXTqdNMhAgaZr45uYY9vs0cjnmr15FFEX29vaIOQ66qjJ6sgs8PDjg4C//kmC1SjQQIHXhEu1Wk42nT+gcHREaWJydfI2zS8dVbF1v0JFjCO0ct69fJ5lIMD09xanFeXySgy8RZHphgsXpBK+9eo7d3X0aDQHcIJYZZDQjUaqqKOdlxiIKwVYLXRDQPRqRZIJGq4Ubi7G+tYXr93PUaDA+NsZYt4fZbtOfmaWePURutwhOTXK4tUXE76fv8WDrOgtjYyzOz5Pw+6kVCpiaRlnX2d7aYtDpsLK1RSscAlnBODjg3OQkpxYWvhI60H9s2MweYnR7nD6RUHj39tgxDGrDIXKvx6WJCb795pufWikTRZFEPI7ZaNDUNPa3t4+18bYNoSANWcHp9fGYJkNVZTgYoEsS0W6XRiTCeCJBKBRib3+fnWwWJxDAk0gQiUYRDw5wPBr9QhufGkT2tlHDExxkywx3B8iCh5GRSwQDp/ElvRwejLC9eoggZBkbSx/HhPf79Px+nHab+MfsxwRBwFZkmr0uoVjsC5GKaCTC+uYm+mDA/OwsmdFRArLEhx8+4v1qlYYk0Y+E8Qoi/kaD7qBP3bYpShLa1au88a//Fd/+znc+tx3mbwOKojASjTI3Pv6Fjo3rujx4/JjA1BRJQXjuM62q6nOyqCjK8YxJKMTC/DxXTp1i3Ofj5tQUF8+c5jvnzhHsDzhzdolhOMxrV68SCARQVfWYzJwQ6WazibG7S891KWxtkdzcRPdotEZGia+vo1QrjF6/jhKLUWk2sQBMEy0cZCBJZGIxdgcDku0ObrOBePoMnWYDr+tyKpPh4GCfpqKQ3dmm2+my3dE5lEfYO9QoPdOwyjYjSZWREQHD2MEM+Kns++i3u0TCGRoNlYMDH93uHmpgiDsSwG4GoK4zOxN/HjjxRdDtdskOBvhNg0vnzzM5OsrRzi6V6WmMUAgVEPt9YuEwfr+fcDiMx7Yp5nIMIxH2d3YIe71fWG/tOA4PnjxBjMeJWBaSJPH+w4f86NkzHvR7PBZFSn4/PZ+PxOJptvUhwsEBC1/RNMThcMiPVlZQhkO+e/s2giDwdHWVQ1Xjdir5wloRDocpZA8pVasYhomtD5H7fc5PTvGHf/AHLxTBcvk8R6KEa1rg2Lx+9uwXliAOBgNaP/xbxlJpPmw0aB8dIcgyoiCA6+DaDuHZKUS9gSh2kBZGCUxPEZMk9mybks/H0O9BkkX6jkNXktBGRmhVq2BZBDIZyh4PxV6PZ8+esZvP8+TwkFomg1arIfj9HFkWe4MBoXiGWnWK2mEavSdzdNTEtPYQRNA0Bb9Pwra7tNsFOu0snU6JXq+C7fSRFQdJktENgUZDpN9z8Sgi6ZTC7A0fruLS0YeEQyH0cJicKOJVVQaRCMlwGFOSWD46oilKRBNxUvE45aMjivv7DCs1lHCQ80tLvHH+PPmjIzwP7uB789uIjkPVsnhzcfH5PSsSCrG8u0u1VmNxcvJlrUK/PD7QXxSmafLkvfeI9HpMnj1L7zBLVYCzly6x+/QpqqoyOj+P67o019bwNJuMnkx8Lz99SvNvvo9WKpFQFM67Lh3H5v7BPu2jI0Ykke/cuoGpi7RaDWZmx3Fdh46mo/d6jESjz4mnKIrEolFSoRD7h4f4J8apFgpI6OzudnBdP7YTxufV8GkyNaHP3KKHYDJJBBB/+hOCy8v4/AHato0WiyH0+3jbbWKHhxx0uwySCQyfl9OpFKcXFthfWycwOYnt8dDLHeHqBtVKhanxcVRVZTyTIR4I0K9WGdg2QipFU5IQymWWkknOLy299IMoLzM2D7OoosjU+Dj5tTVOj2XoaBopj4fTExO89a1vvdA5+DQk4nGMep1BJILp86HYNo12m8VQiKCmYfl86J0OVr9/HEkfjVIXRYKCwKONDRqiCB4Pnk4Hp90G22Y0FKJp21gNl+6ggW8uTcQrsfGjNp16D1VNMDY2j9frozMQCKdF9HqC/JFGMlUiFguTTCTY39ykIQhEFOUFMhiJRBifmfnCFTlRFDF7feq4jASDFIpF/u7Dh9yv17EFAQ3QEMiHQjQcG4olah4N7fp13vjTP+XqtWtf+QVcEARUVf3CN/9ut0vJtBgUi1w699kVVlEUiUajnFpcZG5mhslUCtuy0LKH1AFzdpbsxgZhj+cF0mfbNk/v3CEkivgnJ+k8eIBaKlOamSZeq2M1mnQ8HlLf+Abz16/h5AuUbYt+r4ciCMh+P46kkIjF2TOGjPb7eFSF4OgYusfLxvo6luviTaU5Cod53JQpuH4C1TDzQZXZUQXFzREMyvQHPdRAiFq/RcjdBBYRxHXefDNJpXpIzjzHwBcl1N3h6ukYR0cdymU/1eoWsVj4CxUN7j16BKrKuelpvF4vqxsb9MJh5EiETKuF0+lg+f0cdboc7Gwxnh4hGo0yncmgDAY0bYuCrpPd3iadSHzuzksun6emaTQPD1gtFvn7ep1lRSHn99P2HMdPJ+NxMvEEhWKBYrGA02hwZnT0KynncByHcr7AzaUlfD4f3W6Xn+3uEtB1bn8sNAWOr4XFuTnsdoewLBMRJS4tLPDWt771c5vgg2yWUiSCLxQk3mp9qmf8Z6FRr9O78z7ZqWl6Hg+FrW0kRcETCuKfmMA3MYEvHkP1K9jtNv5Ti1wfDLg2MoJdLJL1+Ui2WmBZOIZJotPGqdfxueBzHOzDLLGNTRxcTNelMT6OT9UQmk2sYJBUu8OEquCWhqy+o+B2Wkxdc3j3J1n6nTp+fxJNk1FVk6HeZDCo4jpVNE8ZRekxHHYYDBv0ulX6gwa200OSLCRZwjBFrKiJvNjB41GIBENIXj9916U3HB57xzsupj5ge2WZhisQSyRIxRNU8nmK+/votRrzkTDjt24za9ssTE1x7+lTKtE4l69d4zCfp6+qLCUSz68tRVEwGw1yXi9J+Mp2/j4DX18C/eTBAzKmRTuZYGZuDlNVmJqbO3YnWF/HVBTGZ4/9EZtPnyIFgwQnJymXShT+l78ktbJM0OsnPjaKU69Rv3uHbLuN3+vhlbPnuHXrFrreoN2KIkpNdo+y+Hw+ZK+X2tHRz7UlFEUhk0pRzWYRk0lUj0LpqEa7Ba4bwrb8ZKYkql2beBgEp0Hn//p/Yepnf0ug0cH79Cllr4fE6BiSC+FSkYKqoqVTkExiFgqcPX0aQRCIx2LsHx4iJJO41SrXz58n6Pe/IMVQVZV0Os3U6Ci024z7fFxaWiL0S8zbf4d/eLRaLSrDAbJpIgG+Vot2LMZbb73F0unTLJ0587lvgJFwmHythlUq4en3SUkyuX4PJRJm4iQsQ5JlxrpdSqZJdWQENA1FUZBbLa4tLDAzOclWuYyi60RDIYaqitjrIvhPUaTJlN7CIw/J5Xz0ehXa7TaqohIN+ekKAk5LQJY9vPMO1GpPGBnVkAWBrsdD7deYlhaNRtjIZjk8OuLHy8us9gfYJzIGWRAwez30Vou6aYHPw6lvf5s//4u/YGpq6mt7vruuy50PP8QGTk9M/Eo3KVmWWXnwEMk0Of3KK5TW17Enp6h02hxubhA48VU+2NtjtNMlp8j4g0FK/+WvqSfixA0TrVajYxi0w2Gm3ngDTyTMhNfH4fYOPY+HVqWC3+fDUhUkVSMai7M/HDIeDlNzHfyaRj8eoxUO01Jk6paFKupENZ3FeQ9GYw2jk0WTB0xMwMKCj+Jgj5Bc4w/euk698QTbHqXZPkRMa/hDEnY+hjsMUq3tcP36JP1+jm5/hHznEK94HH7yWedFt9vlYDBA7XaZHB/n3fv3afv8+Pp9vKEQnuGQyfFxqsUCWjyOEImil0okk0lEUSQcDpMKBqnncgw8Goe5PIN2m9QvkFk4jkOtXufh06e8mz1izTJ5rBsUAgGGfj9qIEAiHmd6dIzJRBKf69IulTjaXKeVzRIfDHjrlVe+knMskiQxMzGBz+vFdV3effiQvqryzYWFTy3mSJLE/Nwcs1NTnDtzhtOnTn3q5uPB+jrtcBhlZ4fXTrznvyhW795h6ic/Yv/GLdRolIOjLJH5Od74V/9rtMlJTEXGNgxikQhhUaTbbBJcWKDQbFLXNPB4SNZqKMkE3VqN712/zvz0NLOTE8xOTmL0+6TXN8ncvsWNpSUO19fxyxI302kKjQai69ISZIqVMTKpAka0yd/+ZYNuUUaRJ/F4baBBv1/DMKoIQoWR0RZ/8AdTXLwYQ1ObCLTR9QG4ISCGlh5g+6sMOg1Ccy28KR3DtmgNB3RsC0VWSEWiBENhEEXK/T4DwyDg8zGSTFAt5Cnu7aHXaoR1nZvXrtFIpRgdDAh5vTzqdQnKCqdmZniyv4c1GHB+evqF4x8Jhdg+PKRSqbDwclahv54EenNjg2ClQk6AqycLRigUer77OTrKEUqnSKZS7O/tMdLrsW/b9C2L6g9+QGp5mYisEohGcByHg/099vsDlGiEi9dv8Prrr59UasJs72RpNDp4YlH0RgWr28XxeEgEgz9XyZAkiZF0mk6hgOvVaLg2+Y064Me2w/jTCoJHwtrv0Pnpf0B6+D6j0QSa5sWs5ijlC1TPLGHh0pEklMlJhrJMr1Ti1atXkSQJ13X58MkTdEXByueJzsywv7nJqYWFTz1BBUEgFAr9ruL8FUGtXscKBHFaTexslqYgcPUk0v3Thkh/GQaDAYfdDhl/AMdxSIRDVEdGGWSz2N0uoUwGXzBIoN2mNDqK17aPXRe6PSZjMUZHR9nb36fv9ZLx+Y6torwB7E4NMx3BrErEpR7Xr8+f2KW1aLcrtFpddN0iNhXA6ip0GxCNeTk6GmVz84BLl0J0SkV6fj9+2/7S1Yd2u00un2e32+OxaVLodnFFEVWWEV2XYa/HsNXCaLUI2zZ/+if/lDffeutrr+1f39ig4/Uy4fUy+Qld6OdFsVBELRToJeJMTE0xMTZGcW0Nz/g4WjRGvl5nf3MTI5+nNRxw7pVXuP/uuwwPDlF0nVSvR3/Qp+04CGeWuPjNb1IxbU6NjTEeibC2ssLA46FVLhMMhTAkEVXV8EQirK4sE2m16YVDqIJAq1gkUiwy5/FwSZYYB2qNBh6/D8UYcPvmFVKpJHv7ewx9XqaCweOCQiJCqVkgJ8xBt8jFcR+t2iY+3ySSNM7e/h7xhMDCXIhyt0Pf5yW/vc3YyMgvvN5s2+bukyeIioJfEFjN5RACAYL9HulYjO1iEWM4pCGKdNsdlF6Pca+XudnZFwisqqpMZDJ4HIdqo0FDUchu7xAO+PF6vdi2TaPZ5MMnT/jJ06e8W61yxzDI+7z0JBktFCQejzORHmEqmSIky3SrFbafPmXj0SP2l5dpHWYRyiVuzcxy6WNhRV9V2LbNysEBaUliaXHxl/7sRzKiT4NpmnxYKiHJMtfi8efWr18U2bVVEk8eUZqZpxeLsbW8ghIKM316Cd09HuK3Gw2WIlG0e/eoiBC/fh1lchrX58OwHXqKimcwQPZ4MEolkvH4czJZr9dR9w6wpiaJJRIY7TabgyFLiTilWo2DeJxAq8FMpMuO2eJZuUVvexqPOIKitnCcKv1+FcuqIgglzp2DP//zW3zve7/P0tIpLl85zdx8hHTaIJloIIgFuk6Z0GmF8GUNNT2gXSvTLZdxdR3JdTBtm9ZwQNc0cIChriOpGolAgGapRGFvD71WJ+k6/OHrr9P2egkFg3hFAWE4ZF8QuBgOE41E+PDggLAocvoT8iFFURjW6tTCYQZHR8+HRF8ifP2GCLvdLoPdXZqiyMU33vjUBfDmm998/ndT10HXEf1+ej/+exJPHhPx+1EjMQzdIFsqsqvrNDIZzrzxBm984xvPn1NVVSYmVHK5cXpli8V5Db/fx1ajwerGBtc/YRU3HA4plcsUqlXSosTifIL14D6dXgXPjB/xZohrp2M8+3/8gMH7b+NxHPIuRAyDSmdAMSwQAq6dOYPH4+Hv791Dm59HrNWo1mqMjY6ytb2NlEgwYhicOneOldVVpESCD+7f5/ZJDPjv8NXGsNuBXg+z22XpO9/5lXfmqxsbaOEw0VAIx7Koer0IhoHhulSTKexiEfx+1HYHj9eLOBxyfmKC7VaLnONgbWxQqddxggGmT58hn8/TPVTxTi0gSTaGWaWpjwIFLl9WyEy+ybNn7/DOT/eploc4Wz3Gx07hI0Kl7BKJSnSNM/zl2gHnghbucMBuo4HH4/lcccwfh2VZtNttnq6vs9bvUfH68KTTJENhJH+Axv4ejmky6HQwul2sZpPZUIjvvvYat2/dehmrHV8IvV6Pw0YTkWPryV8V+6srhCyTsxcvAsdFgNvXr/POvXtomXHcRgP8fhRJog2sbWxQbbVAlpmuVkBVMWyHoSThOfHylysVBODq5csUikX+89YWLUXh4OlTZq9epQwkonG0M2fZrJRY2tgg5PNhuS7JQAB6PWInnQu9UEDXNPozM3z/3j0U22UQCCHhoZjNocUUKjWLuh2mveEQGE7gNfa5desUDx48QpLOEU756IQkVnd3OTc7y2EuB+k0P757l3MzM6ROXIs+ju3tbbyZDO2jI1rRKEK/z6THQ7XfZ+0oSycaIy7LjAgCt2/d+qX2owCZE/vUo1yOdcviw1IJd3mZQqdDOxRia6hjhEJw4rgS9/qIh8NEfT4E26Zdr7Py5DH1QoFOrYre7mD1engdh6lgkBtXr/Htb3zjt31afi7Issx3b978whHqn8Taxgby6Bj+wwOmXn/9V34ep1RG8gYJAXVAUhRs3WAw6KNpGoIkkWy3CUkSj0ZHGJ+bw6MqdLttFFEkk0qjCAK6odPp9djs91h75x2ikkRAVTkzP09eU7GrVWbm5wn7/Yj6kB/XagwHA+YOD4nl8vxEU8mbGlbpFP5kCKNQxdAb9Ad1HLuGplW5dEnj3/7bf0EqlXq+xoVCIS5dusilSxcZDod0Oh3u3n3IxtYORzsteiNevBPjeFMpTNumeJhFdF38wRCBeAwpEMA0dCSvh5qu0+p00Fst4rbNv/mzP0XzeDiyLEYKBcyREfa7PXy2xdTiIm/fu4cyNsqEYX7qsT17+hTZx48pnYTXvGz85GtFoF3XZfn9D0hrHpSF+V/Y6v74zbOZzZLRPGhbW/iePSXi86PNzWOXyxxVK2zbFr3paZbefJPXPoWQnzmzyP7+JvZQI5FI4/f7Wdvepu26z9N2KpUKh0dHtF0HWVFxHQetViOUSHD2nJ+VZpbIFQsnOkWvWEe59zY+x2IIrJbLuIJATRAInz3Ld8+fJxAIsLG1RXh8HGN3F1FR2KvVqNXrVIY6sqFz+cYNqtUqc7Oz7O7t0YrHee/+fV65du037uPcarXo9/uM/JKKzlcNpmnywcMHnJ6dI3USyfqbgt/jJW47NObmv5SlWt8w0Ot11ESChm0zrFQY8ftZjcVQfV485RLJ/oCWz0u8XIZkkqnJSWKdDvefPuUwGMAMBon2es9dHYrtMoG9OjoWQcnFMoZUqlPEYwU8wT2uvTVPPGLz939fppmzED3gbaRJJSbo6hIT37GYvDnBTklmDhclFGJta+vnvKEBOp0Oy6urjI2OPp+c73a7FEolHu3s0IhEqPl8+CYmWYpF8coqjeGAZiiI67oMWk2Mdgen1eJUNMr3vvUtrly58tKcgx9heWWFervNlZNr/7Pgui4fPnuGHPCzlEx+qetdFASU2dkXqnySJPH6jRv8/d27hDMZQtksrU4Ha2SUut+HrhvEs1k0j4ZpWZiOgxkMMjE9TS6fxz1ZlxVF4Z/+8R+TuHOH/+HxY8q1GvtPnjB39SpWpcLpUJhBq0WiXmfGcUmYBj7TwrYsmusbdEWRx6Oj9HSJo3WXYnWCfhk6XZFex0Fvz2IbIpatQWSAx4ZFb5KDI4Fw+Ihvf/sa7777iE41g8fIEZubZqVQICpJuNUqos/HoWly8OEjrl859h5/+MEHqF4vLdtGSybwjGfQD7JookjRddH9AYRGnZiiENR1pmZnGQ6Hn+tzGwwGuEClWKQUjXJk2wxDQZBl1LifmM9PJBRCURUCiAyaDbbW1ygeHNBvNhm221i9HoppEhFFTo2NcX5xkQvnzzM+Pv5S+fd/2YFey7IoDIc4us5bX2ID6TgOjm7QVSQ8qoqqKHjCYXRDR9eHaAEfkizR8HpZSyQInhQrerk8/kgU2euh3GmhaB48qko4HEaLxbBHxmj0exz0uqzUaiS/8xZKt0f23XeRw2Fa/gBxy+KNM2d4trrK+6pCyeNBkRaQwybq3DMqj2xaKzquUyMabfL662P8i3/xR790Psbj8eDxePijP/oub52Q6YePHnFULLKxsooRDOCfmUGKRDCARq+PPRzS7/UInkj8PDMzCF4v5x2Hg1qNnuNgahrnZ2d5WK1SDPiZKBZ5+8EDzGiUU0Od8x9zUfk4vF4vkx4P66L4UjpyfK0I9M7mJiO2hT5x7IX6uWDbVNttah9+SEJR0ebmcHWdSqHANi6tTIYz3/42r7z22qfujmrVGsFgHMfV2D/Mkhkb4cz8PJuNOvcfP8ZyXfzpNENRwGfB2dlZ1p89QwkEiIfDnDmTZH91BUsPYRSKbP37f0+4UEAFbEGg5ro0XBfjzBnO375NMBjkKJejMOij1Ou8cuMGrVaLJ2tr9KamkBoNbl84z+72NnKxSDuT4czp06ysruJOTfHe/fu8duPGz70Xx3FwHAf3JMDjI8nAZ8GyLPYODihWKlw6e5ZgMIht2+i6zu7eHo1OBycYxOu6JJPJz/WcXxXoCCzv7PDNROI3tjM+yuWR4jHKsShnl8587se5rku300GSZXw+H5ZlIUUiKN0uy4eHyLLMbCKBIAjo3S6h3V3evHmT+z/7GbM+H263R+uEWAaDQV65epWfPniAkEgwkkhg2zar2Sze2Hnk7gBjxAOCgOKCbarkawkUusSmJzkjQjIV5Ic/OaTsFGiUagyHXS7+2SSR8yLFgcPo6Bi5Thuh0yUVCFCv159XoTudDo9WVrACATyZDIf9PtbeHtl8nkPToqAqOJOTpOJxLgRCOALUOh02q4fUq1UMw2DY66HXG7jtNhfHx/k//MVffGGpiOu6dLtdJEn6lVLpfl1IJZPUDYOfPXtGADi7uEgsFvuFG4H1jQ2kVApvtcroyMiX+t03vvWtT/2+JElcPnWK1VyOoKrhy4RYmp3lMJtlOZcjc/Izw8EAA5DTaU6fO4eqadTa7efPIwgCt65dYzOb5aeSRKNY4vDZMtHREUqDAYlTp3laLrPXatKPRBj2++T7fZoeDUdR0fs9+juw+/+ew3GPE/6O/3MRAVEQ8QgCcstDYELAFGwCUoJ/9+8NRHGV1167zPvvP0IfjtPaOoSQSj8WQ65UuDwzw9beHuJImh/dvcv52VnEahU1HKY9PY23WkMzDcR4DNs0cWs1FjMZJs8u8Z8ePaJuGPzw/n2kcJjFQIDpqSngxJ+5UmG/UCCTSjE7Pc17d+9yr1Qiq6kY/gCu46AEg0R8fmLhMGGvF48kUa7XyG6s087n6VSrDNtt7H4PUdcJuC4T0RjXzp3j2pUrJBKJf7TSvNX1dczJCcYPDr8UGW82myS8XgqZcRAF1H6foCzT7/UY9noEkylESUb3eukDoYkJKu+8Q71YRPX5CEQihBMJgvE4ht+P4D1eR0TXJejxMB4I4gK9wYC869IXBeIeLymPRsO2+bt8nlyvRyOZJByLYTfKWEqbXruJEO/gGdEJ2jr/+l+9ys2b17/QOvURmf7ud74DHEtJ7t67x97REdW9Pcq2je33I/h9qIkkvW4X1ePBFQTi8ThmIMATyyLp9xM5OmJ0dBRnf58WLrFQiF6zyR+m08Tj8V9atFg6fZrDx495eHBA5MSt5mXBy8NmPgdGMxnKisLcF/B5nL5yhQ9/+EMM06QTCaAMh/R2d9l2bFoTE5z6znd49fXXf+EJ0Gp1cGwPaPsMolPc29nlyuQkWn8ACws0d3aQWi1ufGz4y9J1eo5DKBhk/EaGRzvbFAwD6+23Ce/s4gUQwHChKwjoySSv/vEfo8zM8OP791FlGQd49coVRFEkGAweW+oMhgjAO/fuEW00MG2b8ydk+dzZszz48EOkSOSFSrTrujx++pTtchnb48Hj9SIJAo5lYfd6yCfEUTx5/yIgiQKue5yYp0sS/vSxAfsHjx8jiSK2LCMGAvhiMYaGgdpqMfKSVUAURWEsFKLv8fCTO3e4vLT0hcz3f1Xojo1ZrfL6pUtfyA1A13X2fvQjkBWsVJLZxUVMSQZFQZBlRnw+pqam+ODBAxS/n7OzsyiKQiSdJlYs0XQdIifDS7Zt8/6HH6Ikk2Rsm5npad67fx9POs1wq4wwPUGkusbS/PyxH3l1FY8UwpQvUs8e4CYShCIR/vTUAvc2cixLNQzrgJydQ67MEkqnyXZaxHw+UDU2BQF7ZYVXL1zg0eoqQ78f2e9H7XTwWBY1j4e3T1rZSjDERDRC3OOjrevs1iqUy2W6tRpmp4PZamH1epiNBka5jGjbTE9OfmEi4bouK6urVEQRp17n26+++g/+2f8ipFIpfD4fT1ZW8I1nOGi3OcxmWTpz5ufIgWma5FstPD4fZz9DP/plEY/HmRkO2axWEQYDZkWRcDCI5LoMI2H0fp+BZTEQBDyzs0SjUfYPDvB84rMQBIHJyUluT07y7vo6A9tiw7YZyYxRdmwcr5d3S0VUQcAcDI5DLAIBBEAWBDRVIaioiI6EqogoIogIiKKLgImAhWUP0Vo+xIgOTQE5NMr/8z+4yPIar7xymTt3P6QnjKEMjnDyeRgd5enuLmcmJsgVCgg+H6vlMn5RpB6PM9Q8pILHTgJyrcbc9DTB6enjAbh79xgEAoxlMjj7+wj9PruCQPPpM9q9Lobfj+zzYXg9HLkuz374Q35ardIMhZA8XjRFZnpignggiCaI9FpNjjbWqbfaVPd30atVzF4fYTgkKkucGsswPTrKq7dvE4/FXlZHg18bbNtms9vFiUbJfMlKtuM4lGMxtHIBQVE5s7JGSdd527LotTuMSRKyLKFoGufDEZqAo8jUyxW6skyvUqF2eIjq9+MLhfDFYijhCOGxEQQBmoM+kiThUVSmUmlkBIaGQavfo1Ovkz88RB0ZwS9JmJUKZqdLt9VEb7dhMODKuQivXrrNK6/c/tKdtVgsxh9897vouk6r1eLegwfcLRQ52Ngk4LhooRCeUBhFFBEHA6aaTZK6Tt7rxUml2NzcZGBZaB4PvkqF71679pl+9XBchZ7yeskOBjiO8xs8U748vlYE2h8IMPMFb5Qjo6NEpqfZ8QfYazXItZsEdINcJsPCW299qmzjI9i2zc5OA1mROT8/xYGhM7qwwJPlZUajUYYnk6fpTySrOaaJbposZDLIsszZ6SlKjx4R/PBDfLgIgoDlQl+Alqax9NZb/OF3v8uz1VWqmQwDSWK0Xn9ezV3f2MQ3MkrYPpZ9iOEwSquNPTv7nLQLgsD1q1d58uwZDa+X9x884PLZs9x7/Ihl3aAbDCGqKt5QEEVTj9kxAC6uexxC7nJMoAVcQMDBxXHc44Qyx4bR0RcqtWK/jzcYQul2Oe3xvHSt86UzZ3jy9CmR8XHWNze5/SVagZ8HjuOgOw6S634u8ry5tsZwMODcpUtomsbIK6+w8+ABIwcHdPsD/NNTuF4vaVVlamrq2LJRFFHabTJnjqvb84uLbK2v49oO5yYnsW2bn9y5g5RMkrAszi0t8d69e9ipFEqtRk/24uYq3Lp27vmNenpyklKpxPLyIZIvgZXbwzs2SpgBr6VU0hdFHuzv06zIGE86JMbHSc/MUAUQRcRojHuDPkf7ByzMz+NptWjncuR0naxp4sgysfQI6WCIsCjS7nV5dHhArVJi0GhittuYrRZmvY7ZaGJ3O7iWheCCKwocVar0er3PTaJ7vR6Pnj1jGIlArcb1X9B+/E0iEAhw69o18vk828Ui3nSad588JeH1cHpxEU3TcF2XtY1NvMkkI4LwmVaHvw6Mn/jmb7Sa3Hv6lAsLC/iSCY5sC31tjaHj0EsmuXLpEn6/H8MwcD/RzRkMBvhGR7kZDlN+9IhHrRbFTgcGA5ILC1RrNUKahurRkGQZSRCQBAHBPV57hgEYhFrobQtzOKBnDrBsHcvSMcwBrmNh2kO8niSnx8+RaW+SF85jBsb4wfeLuO4qt25e4c7Dh/gXTtHd3SNumhyJIru6jmhZnB4ZIYdLtxEl124TCIVAltACASxVY3s4xOj36eg6wugoPkGEbJbJeJxc5didppVOEwmH4OiIM+k0/pERPlhZ4X3TpB4IIHm9uI7DsNnC9tXJZbOUjo7odjpYLgwKeexGA48gcHlqivFIhFPz81y8cOFzndvdbpfltTUW5+a+8MzBy4Sf3r2LOT6Ok8uzdPFLDk26Lpn336N4/jzTMzOY9x9gp1KIzeN1JjAYkm62CFerjHe6vFGrsjc9jTA9w1G5zHavR7lcRm826VWrSPk8sqZRjcdJLy6SSKcQDAPdNOkLIgigqtqxb7jHS8syMVttzF6PQadDr9nE7HZRNY1zZ89yM5Ph6tUXEyhd16XRaPLee5vYNrz66hyJRPxz3381TSOVSvFH3/serffeo9hsYnY6GL0ebsJB83rpeT3kRAltMCDuOBy0WujVKpZh8sazp/T8fry3X/nch/nShQucGgxequozfM2DVD4vEqkU27UazcEA0zARxydI/d7v8Y033/ylrftms0mlrDEy6jA7O8PO2jqJsTEcn49moYDi9xP7hF+q4zjsrK3h9XhITU8jCALbW1tsPXrESKGI6ro4wECAuiiQfO01/uxf/2ti8TitVgvjJGLc8vnYWVtDtG1qtkW3VqWr68h+P5FCkUYqSWM4ZHJ09DikwrYxDIPM2Bia41AxTVb29nhqOfT9fgRFxrVMBNMklUzh1zx4FRWPquFRVTRVxaOqKKqKLCsIogCihKIoiLKMqmpoHg3lZCpaURUkVSUQjtASRSqbG5yemnqphgQEQSCdTlM6OKArijRL5S/dEv806LpOvV7n3tOn+CYmELrdz2Xvljs4IFwosFutMjoxQSAQYHxhgX4kQrvbwbuzg1Kv4x8fR1FVSqUS+6JAuNNl9qRLI0kSOxsbaJZN/MwZ/v7OHaREkpR9TJ6LpRK73S6Bfh9DURC0STz9GmfOzL7wWgKBAImERqGyxVAUsDpthrbNzQsXWFqcJSo7VLJZKuUy3WYTq98nFo0ydF26+oBwapSepmL3++R7XTY0DXNqkvj4JMlUGkGUqLUaHNSqFKpVmuUig0qV3t4eg6MjrGKRpCji9DoYhoEoywgC4Lq4okDc62Xic3Smer0ed54+xTc1hVAq8frNm18Z39yPrM+mMhncXo9as4ETj3G4u0fQ4+Hg8JCOR8MolbmwtPQbu9ZCoRDF3T3kTAajXieSTFKRZeouBE4tkrp1i1ffeANVVdnZ38efTBJw3eek78GTJ3inpuiWKyyEQ7RMl8ODPQzHITM+QUAUEQYDBMfBqNXoVSq0SyXquRyVgwMqh1myH5aplw9pdQ7p9XL0+nmGgwKmUcK2irh2haFh0LckPLF5xhsb9L0Jat0IG9s66WSOq5cvcriygjw1RbNUYmFkhPzREb3RUXYGA2R/AHVnh5ggMBeJoFcqdKtVYpNTDACj0yHa6+NptjA6baTRMY4cBycex+f14isW8SQS2K0WSwsL1Op1vv/kCbuOg3TiGGIPBgyrVXLLy5R2dui2WriOi7m9xZyi8MbSErdv3Wbh2nUiqsrVz0meNzY32W61MFWNuEd76YjK50WhWGTTdY/vr50OcyeymV8V7VaLwZNHzPw3/1uWNzcJbO/QSyYw7z/gtSdPeXVnh8s/+j5LT+/i80eYGAwQDJOl7/0BF8+dQzJNvKdOgcdDWlXplsvo3S7DZpNWLke73UHy+3EMk37luGMmClA3DNqDPr18Hrfbpd9u02vUMZttvKEgZ6an+d+88Qazs7MvEGPDMHj0aJUf/0iiXBIZ9FUeP5Kp1VeJRj34fN4vVMhqlkrsttv0u13kUIhgMknQH2BgmvQdh1HXRet26adSBDIZTEkiPjrKhW++ifYpQV+/CB/53L9k+Hra2H1RKIrC6fPniZ86hZ1I4F2Y57U33/zME+3x41WGusKVK1PIsoxf08iWywi6jpRKEfT7UAzjhZaaYRgcWhYtXWdhZob9gwP+5oMPODB0YkMd76CP7kIDgcbkBONvfIPzc7M4jsNWsYjd7aI0GnRdF3lykspgQDAew2i1wTQRFYVKp43m8eKZGGdteZm9bJa9Qp6GYbK8tka12aSs62y6LpbPiyBLuIaF1e1htZokAkFU10W2bVTHQXNcVNdBEURwHGzLRHMhJMtEFZWoqhLRNEKKQkjVTv6oBGSFSqVMJZfDbjS5durUS0Wg4fjCTiWT5I5yDFQFvyTh/zXoYR3HoVwu82R5mYNGnZYg4DgO3l6PC0tLn2sxSY6MsNNoMNJssba/hz8WQ1VVnqytEVNVWq7LQJJhfZ3yzja54RBxYpK4PmTsYxuB6v4+IcfmXqOBmkyRsi3OLi1RKpV4VCjgMQyGjoMQCiKUauA6zM1lfu71aJpGIhqh3mkTn57GG4tR2t1lenKC6akpgpKEqOsU2m06rku92SQgy4ymUliGjuL14/P56Ukyc2MZMqEwlm2TKxXJZg+oHhzQPjxEr9cwO13MZhOxUOBCOs0bly7xe6+/TrFYotJqIYriiR7WxdPpMJ5Os7i09AuPpeu6dDod3nn6FMPjwdtscuu3MHD7eSAIAuFwmOlMhtLeHh3TpOE4NPp9XNvm0vz8b1yzPToywsHGBoNgkLCi4PF4mP3GG5w9e5abt28/l5qoikKp2yWmqgQCAbrdLlv5EnYgidjwMWwHKZiQq+4Rmpzg/MULlItFNu7dI7izSz6Xo1Is0CqV6VUq9Ks1jHYVs97CHVbxqBXiyQ6jGZ3LFzVu3w5z/lyc+flJ8rlDWp0+LRNC0Wk8zSZ9f4z+MEC1YhAJ57l86QLZ1VV84+McHRzgSSYxej0kVSU4GCCLIoJp0jAM7EAAMRKhebDPqCAQsB36wyEN20JPpel5PYRzR2RcsAQB3TQJ6zpGOMzm+jrvr69zz7aQImEQJRx9iNloMTjK0t/fR1VVzk5Nc16R+dM33uBf/umfcuvGDUYiEerZQ3qaxl4+j9FuE41GP/Vc1XWd9x88pKkch3zMRiJkMv/12rVtm+FwiCRJL12H8NPw3pMnaKEQxmDA6Ilt7K8K13V59l/+Cz1RoBOO0PJ4WPjZz0jcvk3pr/+G8XqV8XAYpVFFGLQwx2cJ+YP4BwOaM9OkRkeZm5wkv7/P+OVLRDMZ5uJxphMJbFXF1XWaBwfUDw4wLBMpGKRRrWI6Lr1GA2U4QG+2aNdqDJpNzGYTLRjg5s2b/PMLF4hFoy+83na7ww9+sMbm2jgTU1n+5E9muHgpjCQdsrPt58EDmXZrjVjc/7mLAvVajarHQ3FnFyUcOt4IpE/s5oZDYpqGLgjY0SipvV06isIfXL78qSm5X0N8/WzsflXIssz09DRTU1OYpvmZi4njOHQ6Aq5bRVWPq3HJZJLDXA7d56dbLmOn0kQ+8bhut0v/pJprGAZ/8+Mfs1Yq4Xp9rJ9eZHxPRarWqIgCvt//Lr2FBf62VGLYahHMZJAbDXyhEF6vl95ggOPxULFsDI+HSCbDQJbxBALUGw2UdpvUubOUV1bRBAGj3sByHA59PnKWheDzInCsd3ZMA1sfYjWbLD9+hHhSvRMVFfHk5udYFo5hILguEhzrOhAQRQEEAUE4IS0nx04QRYbDIXqnw+RLPMwiSRKXzpzmwdoazw4PuSLLv3J73HEcKpUKKzs7eNIjaJkMejbLeCJJfHHxC1WGRFFEFwTK584ye5jl4O5dxq9eRXBd1EoF/8QEZ86do1QscvD4Mb5QiKZp0hkM0HX9OalRBAHZ58ORZZLOMXkul8uslsuIuo7sujiJBLF+n6Jp8cs4ZSAQYHFkhJ1CAf/0NHoyxeOnT5mfnaXvulx9800ShQJ/99Of0q5W2a1Wsft9Jk6dZmAMMWSFTCRKtdthuVSgXaujt9sYzyUaDYRej9mFBUaWzjAxN8+NpTOMnniIPnz4kM3dbWzhmBCIto3QbFJYXWEw+MNPvXG4rsuzlRUqkoTq97OUTr8UnqSCIHB6YYGnq6tosRg9w2ApkfiNSDc+CVmWeeXaNX567x7tkRH8qgqaRr/dfmHTXKvVcPx+jvJ5Vnd2kKUoiZxM3jtEq2bxhFRCnSqyz0tqdAyPqtHodTGGQxJPn1Hyh5AkkVPjo/gUBVUQ8Xs0whfDRENhbt68xlGxSFdVOZs8Tj6TZZkPPtgiEsnwP/6Pf0uzLfJQVJjLnKPXhERS4uBwjLf/Lo8kbXDz6lXuPHyIPjtLVJFJ1xts5fMwO4enVmcQCuHMzGDV6ngrFbyCwH61SmhqCndsFKlSIVEpY1QFXEVl6cwZNjc3aZgmLVXF02yy3O3w/mCIEI2AKGEbOlazjV4qwnBIOJ3mX/zBHzCrqly9fPmF+1E4HOaVGzcolUo82dmhpKjkHz7kxunThMPhYwmgZbGzt8dmpYIvFGJCUZi5cuW5NZxt22SzWdZzOYLpNGlBYH5u7rd8Rn95+ESRbrGIEAiwePr0l3quer1GJp+nfPo0B5rG+MYmcm9IodWmB+iWjWMYyJoHqQ9WvYLuCtTicdpHR8wsLiIIAmfSabZ1g2AuR0cUIZlkemyMZL1OvdOh3ulwWKmQ298neukS5d1dBsUisqbhiiJmr4fZauMLBrl2+zbnJOkF8myaJisrm/zk701UNcD5Swe88srV5xuqV1+7wvkLHR4+3GRtZYHNrSw3bx5x+fKpzyzUnF5Y4NEHHyDgYnZ7xzKlfpdAIEil06YRjRE6ypKp13EcF+VrsAn7Ivgdgf4EvkgrQdPAcVLk8wUymWP7lfNLS7y/toZfEmk5NoVqjdETGQXA4dERvtFRxEadt3/4Qx7s7+OqKoIoMFRUNsbHsbxeghMTeCMRBv0e4UuXiUkSjm1jp9L0XZeWbWHpBpbj4Fg2VjjMYb9PUBQJ6TqOaWIX8liqimkYqKrKQNfZ7PdpSCKipuGaFvZwiN1pYzZb6MUiHkBMJkEQkAIB7G6XweHhMWF2XRCOFdAIArggiMdff+Te8V//zQVRRHAckorC9CdSiF42BINBrp4+zWqxyJP1dV65evVz+5Q6joNhGKyur1Pv9ZDDYSxBQG23GB8dJX37Vx8AubC0xOPVVVZHR5gpiWTv3SM+NUWzWn1uv5ceGWEvkcSankar1WgBP1xeJiEIXFxaounxIAOjosjZM0vUajXWS0UCsThWvY7H68Xu9bh08SJ/ffiIzzJS+Ujz/3RlBXluDnlkhHtHOaRAEKdY5PWJCdI3b/He6irr5TLbwyGtWo25CxdwwxHub23SqdUw2i3MZguz0cBsNFAGA05nMsydOsXZ06cpDQYol8+ysblJLBZDO9EFPnvnXfqtNrJjI1oWuC71XJ7Dw0NOnTr1wmv9iDyXZRmjVuPy7OxzMv5VxUfV8uW1NYRYDCMYxNnf5+LExG/VBkqWZb5x4wY/vX8PXzLFoFCgg8BUp0Mun6febNIRRaRkEtd1MQyDU0ERY1qkNNzmzW9c4cd375Lf30GNRhgfH6featOs1pAdh2++9ipv3f496o0wqrvNhQsLjHyKpMowDSRVfS7BAvj93w8RCDyk057jP//VNo2myIGiMT56lkpVYSQpsr45hhy6T7F1By2dRNvZoRoM0jBNbEVh1TS4JQq4hQKyZRE8f4FcKEhQVZnSNPqmyWBnh1ORCAuvvMLO7i4HwrEf8dkzZ5geDnlvY4Pt4YC7xRJ2IoGoKtimidXuMCwW6G9vE5qZYXRujohpcv4T5PnjSKfTvJVMcnB4yLaq8rBQQF1f48z8Ag82NvCMjuIHLo6OvhAicnBwwE4+jzoygqSqRAyDia8BeQZ44/Zt/vrOHeRe70tLrxzLxilVKL3xBmq1ilmrgt4Hx0GNRNDbLVzLAsWDJAjYrRbuwhKxgJ/22hruSRd7cX6e7WfLWMB3Ll5keXOTdVGkFQjwxvw8oiBwmMuRCwZZNww8lo1drTLs9ZF8XmSfD//4+PEcSL/P1Y/NZbXbbb7/N9vkjsYZHTvg229lSKVO/dx7CYWCfPObV5ifz/PBB0Pu3R3nw4drXLshcOnimZ+7lxmGgeM4CILAjMfD03CIjmXimCb1eh1fxo8OKLZFatCHO+9SOXsR0325hgC/LH5HoH9FiKLIhQuz3L27z7NnBsmTaoeqqgRx8UxOExJFqr0u9UaD+MnQxsAwcFyX3mDIj5eX6QKiLOE6Lq5hYPd6CJpGYHISo9mkUq+z4vPhi0SQJAlFlpFlBUWS0DweApKEJMuIgIyA47pYgOS6ONZxa9dZOkcXl56uI/V7eIdDBt0uTn+A1W5hlMsMczkUw+DK7/0e8WCAgAtNw0AQBOauX+cwm8V1XVzXfW53Z1rW8+qSaVo4jo1l24iCgGXbx9PFmkY6meTatWsvfYswGAzi2dvDSSV5/+FD3rh585e+J9M0WVldpdnvoyUStAwDVRBYjMUY+zUNpgWDQV67cYMHjx7xWBSYDwSIFYtkXfc5gbYsi7YiIxdLqP0e37x4kTuPH9OOxfjb3V08Y2P0s1nERuPYfWJrCysSQS4Wme322NUNrr71bQB0A/yfY8g/nU5zXdPY6PWoOQ4Z22IiM/Z8eCmTyRAM+FHv3GGl0aDkumiah0gySWN3l36lglGvYzcahGWJ69Mz3Lp6lbHRUZLJJF6vl+W1VRr9PtLICA/39hj3+wmFw8yfWmT77l0k18UVBCxBwHQccvv7LxDoXq/Hw2fPMCJR5EadN2/d+kpv8j4izs/W1iAaxQoGkep1Li0u/lw797cFWZa5emaJlXwOVBVtdJSVSgXJ58O0bXyA4jiEBgPGTp2i/f771M4sMWfoCILASKlEp9slNDVFPB5ndXODYavFpM/H4uIinbEQ/e4BqjDH6uoh8Xj8527+U5OTHKyvk7csxk9mCRRF4ZvfvMXkZJpwsMt//H8d0K5CAZHRsTNUugpX/xsYTEyx0y9ze6jTFkUCwSC9YBDBccnYNkFFwQwGyXs8DFeWSQWDMD5OKZ/HK4rEZPm5Xd3c7Cz7d+5wJMv0Hz4k32yyZ9s87PcRZ2cZSySpFAsMGk30Upl+NosSCuIaBvr6Ook3v8mdR4+4feXKLyzqiKLIzPQ00UiE5Y11mJrmx5UKI/PzhCsVlq5ff358LMvi3qNH6IEAnmSK8GDA9QsXvrTn8lcJ5XIZKxhk0ra/9HPld3bwZNIIgsi1xUV2NjaxNC94NHwjafSDfSzLQlE1QMSqlVhzHCaHOsl2i4P9faZnZhAEAX+/RzkYotfrcf3iRYb37nEYCPKjfJ4xRUE0DMLhMMnBgGSzyTNZ5sgdwImpgOz1UsvnGIoixklB7NnqKvee9agfhrlxI8sbb1z9pRJJQRCYmMgwPj7G0VGeD97XeVyKc/jgATM+HxfOnkWWZVzX5elf/iXBjQ3cdodMKMCb8QR/E4/jShKmZdMbDpAch0qrRUpViXd76KpKRHnpdMxfCr8j0F8C0WiEc+eSbG2JPHu2ztWrxxO/S4un+GBjg+jUFDICD7NZ5O0ddNeBaJT9UondwYBmOIxkmscVXMvA7g9w+n1Cs7MYtRquroNpUVVVPNEooiwjKQqioiCIEpIiI0gS4skfSZIQJRlJkVFkBUkUUSUJ+eTrsKYRj0Qod7rsVirotQpGsYRZLCI7NqcXT3FpfJyZ6Wk0TeOde/cYOi4LCwssLCz8tg/3bx2CIHDp4kU+fPwYkknuPnjAzU/ZGFiWxbOVFbquSzgzBrkcSrfL62fP/oMM7wiCwPUrV2g0GtzZ2KClKAxEkVq9TiwaZXllBdnnZ3x/n6oo4PP5eOPGDX545w5aOo1g25iTk4RsmwePHiOk0/gqFcRslj1F4fQbx9H12ewRqhrhwvnI53pd2XyOqmEQUFRy3S4zJ4vzRzKf69evMzs7y//5v//vaYgiqqbSabcwul3MSoUJUWTx3FmuXLxEJpP5uQFOSTjWo6qNBlIqRW44JCUIBOIJBFlGsG0U1yXpuvQAx31uLUOv1+O9J0/xT03gzR5x68aNryx5/jhxluNxzGAQqdHg/OIisV+i6/5tIRKJMFKvcxRU6DUbtKs1zmUyhEdHWdnYIHDiDbu5vMxpy6ZdKpJaWCCfy9FaXqYVCjMzMYFj25QKBaxOh7lIhHZ/gGhZjKZCuHaT7FGGn/1si7NnYy9UojVNQxv0OdGYvXAca8UCt+obfCvxAUPLz39pbvEo9M84/2+mMc+6TEcSHJQsPigVmPYHsIpF1FKJQSYDssLDQACl0WBaVSgOBjjBAJPlCt3VNUrTU2jj49xZXWFxdIz9w0MqrRZHiQTldpuKJOH4vGjxOP5AkMlUim6zSatWpX+wjySIeEIh9GIZLRZFKZYQ4nF+8uABb1y58kt1peVKha7jEtA0XMdBHw6p9nr0ej38fj8fPn1KdTAgkEwi1uvMz82RSn09qs4fR7ZQYGBZnDrz+T30Pw2u69JZW6OSTHN1Yhyvx8NIu4N2+TIMBoTHJxh+cIdev48vkUQURZRhn9FwhHI+S1jzIPV6z5/v2vnz/OX2Do82N/m9RIKg14tmGMwKAmW/n3o0RnJ/n/lqlWE0StS2yRoGeDwIqoTZ7WHrBsrhIdmlJcq9HjuyTGbU4p9/N00kcupzv7fnRPrPx8geHfFwz2RVlsh9+CETHg8Xz59n7JVXMK9e/egB5La36d+9h+fqFRRJRHAdorEY2d1dTgX8HC2ewjM9g1Cr/rZPgd8ofkegvyTGxzMcHT2k38+wvr7J6dPHllJCv0/TcfCqKk0XIoEAcqnEYanE1mCAkEoxOTNN/s5dOtkszkDHareRFAWzWsUYDkHXUXw+uuEgg3rt2PJLlBBkCUEUESUZUZIQJOk5sZZkBVGRj8m2fEKw5eOvjx8j0e910RsN+geHWJUKPp+fZDzG4twcpz9WofNrGr1+/7d9iL9yuHLpEg8ePcKMx7n/8CE3rl3Dsiyq1Sq7h4d0JQnXdVAdFzuX5/rCF9M2/6qIRqPcXFykcOcuvVOLfFAskdrdpW0YCKaJ02wSXzpDqVRiJZdD9fk4ffK6Nvb3GY6M0HEc4pUKvkoVQxA49eabz4dgDcPE65UJBj9bz762vk5LVYl0eyyMZXhkmjwsFIju7XHxwoXnm471jQ1MUURSVRRNo9ts4pgmZyYn+M6ZJS5duvQLW7HTU1NkN7fwCAJjisLy0RGNqSnGT5+iebBPf3WVtOPQ0DxEpqe5dO0aruseOxLUaigeD6mhzuz1619J8vxx4izEYgwCfrRajQtfUeL8cXS6XVyvl2C9gZFMMhgMmJ6aQlUUqoUiiUScmK5jNxqoC/PE43G2Hj+m2O/jzM4yMjJKpVGneyLdmVtawrEdxJPK4rnzS8TiBe7f77ORlUAQXhgYU5otfJKEfdIJA8gdHbH97/8HTi2/y5TfhxALE5d/RDtm0Za/Scy9xGG3TSY9Qs6x8e3t8SfXr3N/dZXpUIjswQGy348VCtFQFALpNM7+AcFOl+rEOOempvhweYWez8v/fXmZqgttnw9Mk5ii4A9H8Hg8BH0eFEFia2OdejZLv1DAHQ5JXrvGIHcEjk04EODUwgK5XI5NReH+3h4jisLC/PwLx3kwGPDw6VOEdJrY0hJGqcRUv0/K72dXlvkgn8doNIgkk3h1ndORCOlTn59svWyod7tEvb4vNUTrui6PnzwhUswzfOObjIyM0KjXUUdHKLfaSJoHy+PBFFx0fQiyjCBKeDGpt5uMSAqDaJTa8jILJ53GgN/P6KBP5aSIsDg3x/rKyvGmfjAg0mjQ9Ploer2EBIEr586x8rOf4To2oqLgicfoF4ushsMIu3v0JieY6fd55fVbv/JgviAITE5MMDE+zsPHj9l2Xdb9frLvvsut06cZHRt7vk5PVCocXLuKpWm0SyVUj4d0Mo3oujxBIJRMceuD9yl9Sd35y4bfEehfAy5dOst77z1jb08hk+lQqVUJzMwgOQ5By8JqNRmkUmxXq6z7fEjJBKFIFMsw8I5n6Fcq6MUiVrsFgoA8GJAZHSUWj2NKEv2hzqDTRfF6sYGhaWK7Lo4gIJwQaEESEcTjSjSieFKZPv7e8b/LSCfE29INhsUiTr1KMBJBdF3OvvoqQdvmwd27xJNJxjIZvB4PgmFgmubn1vt+HWHb9nON90e4eO4cHzx6jBPwc+/BA0xFQQ6GGCoK2nDItQsXfitWUZ12m7Ak0SgWaasqtWSSgNcL29uMRKPsDgbsbW2huy7X5uYYO9HMjo2NsbK2iqBpZIZDPKJA48yZFxxkdncrSOJn64MHgwF7jTqaC9+4cYPhcIioaqiCwDAS4b27d7l4klpZazbp2jY+j+dYpz8Y4pgmrq7/UvIMxwb8jm1iuceSkXA4zN0nT0gsLfHHokh1ZIQH1QrJzATf+eM/IpFI8OTZM7qBAH6fjzOjo19qSv8fEo7j8PjZM/o+H7G5OSq7u1yYniZ19jcbK/+rotHr4TouF8+e5b3lZfKui7qzQ3U4RAgG2d3ZYb7eoBYKEk+ljj3Qj7Ls2TbRZIJgIMDG9hZGp8uMpnH5wgV6q6sIH7sOx8ZGuXhR56DVYaveAHj+eSampnDW1l54TcPBgK2f/ZCRgIKbHsPqFBiaPS5u/Zi3PwyiaDLj585T7HWZHMuwZxj83YePmJqfo727SyCdRpBEupqGc3hIIOBHrVZZ9fnY63T4qzt36Jkm0ZUc25cuo3g8eBWFkKZxZX2dcjxOFZdu9ohGqUT58JBetYqRzRFKJxmWinhSaaxOF8+JrGJmZoZQKMSj3V0KkQju9jaLJyR6c3ubjXKZzNISjuvS2txkIZ1mfH6eg8NDbMMgODlJqdViTJJYeOXz+/K+rHj18mXqjcaXeo4ny8tkVZXo+YtcPanChsJhqlevIP/sHRx9iBYO0ZFkDH2IiwuChCJCzdAJ9Xo0Z2cJtlq0Wi3C4TAAmXicliCwvrXFmcVFAoJAKxqFYonvXL5Eq9XiTrVGeWyM4d4eqVCIsmVh6zqiLCH5/bRHRtB29xhNJrh87dqvxdVKEASuXb7MqU6HZxsb7Gsq/79cjqmNDa6ePk02l6Pu8aIoCoXHjwksLDDo95FEAS0QIGnbSLZL6t59rEzmS7+elwm/I9C/Bng8Hl599Tw/+ck69+7v4h1V8QsiqqLg8/uZDwb5m/V1ngUCqIkEwVAIo9+nmc/TK5ZxdJ2kpjGytMTiwgJzc3NMTk4+17DCMYnb2NhAN4xjTWungx4MUdndYdjv0+r3EUIh7H4fyzRpNpsYtg2SBIJ4HF4gHrfOnf4AxXUIJlO4+pDFU6fwmhauoSN2OsiWxeb2NrLfz2Qmw4cPHjA+OUksFkNRlJcqjvuLwDRNni4vMzyR1cDxUKTg8aB5PJiOg+26SILAwLaRoxHkSISAqlJeXycdCHD+1Knfauxz6eAAeTjg+je/wWAw4L31daqzMyR1g1qvR3/smABfSiZ/buBs6fQZ/vZnP0MaDimk01z8RBvUMGQUOY+i/GKPal3Xef/xY2Svnxtzs9i2zd3lZfyRCBlN46hYJDw9w52VFcZCIYr1BrYo4vX7sR0HyzRwTZOp0bHPNQSkIDCUBFzXZTgYoHW7hB49ohiN0rp4kb+4ehVVVen1erx79y6DcBihkOfK6TNfyTAJ27ZZ39zksNVC1jR8jQY+VeX1X9PN8jeFvm2j9boEg0Eisow5MkLOMI7lZrUqI7Eo2vYO1Ylx5uNxDvb3STx7wtXHd/n9aJS2ovFePofd7XB+YoLx8XE2NrdwDeOF3zM9PU2q3+f+ygqbOBRLJS6ePw+CgPfE+/yjTaIgCBCKsd+tIJVy6Hqb0lBHE3osfXiXx5qKpKikT50i1+sxOTXDquviyeXwA2VdR+52kUJB+sMhRjZLrt3mYThCV5ZRIhEuPHtG/cwS6XSaoNeL5Dg4hs6OIOJ8//s8kmX6zRZGt4Pd7eE0G4THxvBnMhiNBv1CHm88wcj0DIVCgakTLfg3QiHeffCALVWlfO8etusipNNMnz+Pbdt01td5/epV8vk8P75zB3lkBFGWiVQq3Di5Bv4xwOf7ctXnzc1NDvp9ZNPg1T/6o+fXnCRJJFMpBl4PuC7+cJiax4NhWSDLuJKG43QxWy0C//Z/TyoQoN1svqAvX5yfZ+3OHTYFgUSlgj0Y0BcEvnfpIn6/H7/fT3Brm4Fp4slk0BBQ9vdwXQcHAS0eZ1gq4e/1MPYPcK9c+bUeu2AwyCvXrnGh2+Xp+jq7isLbhQIev5+JXg8zFmOn3cbq9xn2egxMk2A4wnB/D4/jopVLuJtbiNev/3Y+/N8Cvp5M6LcAj8fD/HyQvVqA4bCOZ1gHv5+D7W169+6B10v41VeQwyH6zRbtYpHe0RHD3V1uB4Pc/PM/59qNG7+UnF66dOn53/cPDmj5fEwHA+iGQd000eYX0Pf3OBWLPR/229ndpd5ssp3PU+l2ESQJJRBAURQcfYhfklm6dAlfr8eVm8dJe8VCAU+7TSOXI6AbTHq9tFdX6coSDdPi2re+9bUk0ZZlMTBNuq6LwHHqoiyKqKaJYRrYhknQ7z/2gT55/0KrhSAI3Dh//rdKnD/C/Llz7G5uHutANY3Xl5Z4tL5OLxqhn0owHA45k0wy9SkBA6VSiRFdZ1/TePUTi/PR0RGqOkYyWfmlg5Ob29tI6TRzkkQwGOS9u3eJzs0RbLWYmppiYmKC3b09RFWlGfCTGwwQVRV/MISu61i6jmRZLExOfK73GxQEhpqHR/fvE2u3WdA8HGgqYZ8PMxjk3c1NJjwe8pUK7tgYaqHA67dufyXJ6OMnT+hpGv3hkKAgcHZm5jcSH//rRqVSwZdMEOj2GA6H9CyLoapCNsvv37hBsVjEuXOHfjyG98QdIre1TXJvk5RlMlmp0v/v/m/8UbvOBxPznP3mNxEEgbbPi8/vI2C/OOnv8/m4fvYs91eWkU6d5oN795nMjCGoGoWDg+cEOhAKEX39m2z+T/+e4uAI6yS0KqUpzB+sUQpG2FZVJFkmPj9PZSAwPT1L7uF9zqfTeIDKYMCzVouBIBABOqdP4wRDxLweJo+OiExP05uZwe50KO3tUi8U6dZqDKtVrh4cICsyfctmJJXi7OICKvDB4SGOYeBJpuhns/SqWbzf+AYFXUc4PGRychJFUbh58SJ319bozc0SV1RCskzx4ICkKHLtwgXee/AAOZPBm0rhlEq88o+IOP860O/3yXY6aJrGpenpn1sjVEUhC4jBIF5BwPT6KDWbREtF9J5Ooe/QsGwmZ2YASCSTLzxeEAROxeM87LR5cHREdHKKUKv5QhDOSCpJq1Ti8sw0fdukNzGB6/Ec28QaBrF8HgZ90usbDIfDL9TlzB4eMhwMWPgMCU8gEOCVa9c43+3yg81N5GaTm1euUHjwAEkUMbtdzH6fXq9LMBSk5DicjkSoe30MPB5y+TwTnyMI7OuArx8L+i2iWKsSSAfQy0EssQeNBpG332b24V0ueXxsuQJ/c/0qzUqFfi6Hk83yZ+EwY+cvfCZ5hmNtVjabpdXpkO928czNIfv9DAFpOGRYyHNlYuKFtvTMzAzf/9u/xVE1winfsQ2dZWPrOrJlceP2bexej1Mf09aNjI4yMjqKNTfHj58+xZRlpq5fp5jP4+l2X3o3jV8Er9fLa//Acd3/0IjF48Ru337+dSgU4vVr1/jw7bdpnjmDp1xm8hck8o2MjLCeyx1bE54M+30EwzAZDm3Onv3FGrfVtTXyoohWKjF+/Trb29u48Tit7W3OX7sGHLsGzM/NEa5WWds/oOP3ocgSHp+X7mCAY1mMhcPEopHP9X4DXi+irJAoVyhKIszNcfkk4TNQKLBSLpMLhdEDAYLFIrdu3PhKkmcAr8fDoN3i2sLiS0mcP4JpWbgI+Lxefnz/AUooiLa9g5JK0u50CIVCtEyLwflFdE0je3SEtbVBr3xEMDyCqKoMWiXcWpOJmdPP48IVrxclEMCq1X/udx6T6HPcf/oUNTPOXi6Hr93C9RxXAF3XJVsoMPPP/pz1hx/SXH9CUBaQBWiZFpoocmFrmWo4wgawpMhEp6apAGcVlbePjsipKgNRQFIVJK8PY3SUlN+PR5bxtVoE9/Z4ODpK+e//nnalyrDVwOr1sft93F4XeWSMf5tO07l0ESMQ4JXRUf76hz9EFETsdhscFy2RRO92EI6ytGUJG3APDkgkEtx59ozw7Cy1nV1qMzMIto1/MKDtONzZ3UVJJHDyeRZnZ0l/Qiv9O3w2ZFlmMhwmFo2+YPv3EXx+P5nvfpdgKESpVOLx1CSH5RL17W1016Xk83H5ZJ37NBxHbDewUynsdptpASYvvBg1LggCRq/H2OgYFztdVn70I6RTp/AsL6MtLHD+zh0IhwmcWWL17l2uf+tbn/v95Z4+I7P8lKfffJPzn+EgBRAMBJAdB07SjzMeD36/n0Gng9ntUsvnUdIjdBWFnG1zMRwC1+WdQoFvCMILgT1fV/yOQP+asLa+jhCJoLWKGPYAp6/Dv/t3xLfXURQvuBKz3/8vTFfKHCTiSKUS/6szZ5gKBEhevvSp5NmyrGM96eEh5VYLKRBAC4WwZRlPJAqFAlPRKGPT0wwGAx5ks+Tz+RcI9M7ODgfVKrYkIogiruPg2jaOPmQqHmdycZHawcGn7mQlSUKTZVq9HpFI5LcS0PA7/Hogdzq4lSpSZpx3Hj3i/Ozsp5I0H6CrPz/tXy43EYT4L3z+Wq1GS1Vxi0Vev3UL27Y5qNXRHZvfu3bt5zT0yUSCJ0+fMqhUUEdGUDSNYa2OY5r4JZmA/5cPKrquy9r6OtluF9/oGEfhMK+8/toLPzM2OoppmmyZBheSyX+QGPZfJ059TYa7tvf3GR0Zwb+1RdDrZToeJzo3x73DQ5Y31vG6MBOPUem06Qxkyu02wzvvEQSCqTHsZp3WoEfJlUndvs3ExHE3wgWGuk74FxQafD4f37h1i2crK+iZceLhMIWtLdrtNvfWVhnKCmHX4Y1/8xf89f/p/4hitvFJIj3Lpi1axAcNLi8/5CceDxv37jPTHzA0TXyPH3N0/jy23084EMAFIl4vflGkVy5TLpcxi0U62SzV3V2sXu84MdY0OT2S5vyVK5xZWCDg8zHVbrPrOAzjcTrdLu1uF0ESQRCwex0EVSM0M0soFGI6HKbQ65HTVDb39xBkGbtaJTg6irG9jZ5IMEwmcbpdxEaDxVSKkcXF3/bH/9JCVdWfG9L8JGInxHp0dJSL//yfsx6OkNvZRvT7WXjzTb7zx3/8qY9zXZd3796lFA7jPzykE4m8MF/yEWTb5o2jI9ZWVojGYswpCoNuj9GHD6iOjICsYDVb5AIBaLa+0HzSwu1bbDkW6e//Z+5ubnD+z/4Z/s8IOFNFEdHjoVarQavFW4YBjx7Rz+VYPn+BjWIJwXVJNZsk97epXbmCYxg82d1ldHT0K1us+HXhdwT614BOp0NdEDBbLS4uLXH3r/6K5F/9ZxK1EpLqB0HCGHYpmBbKvXsELl7ke9/+FhcGQ8rJBOmP3dgrlQqHR0e0BgN0UUQOh1FkGQsIWxZjqoonGOT+xgZBWWb8/Hng+OLXW02UT1g3FctleraNIEnHul7bwTV0AqLI3Nwc5UqFc7/ERF8RRfRPDND9Di8XVp49IxyOoIWCdEtF5IkJljc3ef1Tqu1+n4+mZf3c97u2jS/SRBA+PajjycYGBIOcm5pCkiS2dnaQ0ykmbftTF3jHcShUKrQGfeKOA66LruvYhoHXK/3CKjlAo9nk2fY2UjyOr9NhUK8R9n+6fGY/l8M/MkrkZJDnd/iHxe7ODka7TdC2OVJVXnnllecuGG6ziS8zRlg32LFtLl+4QLVa5YOdHYSdbbweH0okRn9nlaZhIS6e59wnztFqocjFy5d/6Ws4f/YsyysrtDweopLE+2triIrKrclJEokE5dlZCpubPPl3/x2K4CCIx1VoVRKZaBaZ2tpgG3hWq5FMJqkCbdNEajSIh8O0qlVK+/u0y2W6hQK2IGAPBuhHR2SCQcajUcbn5rh07hw3rl9/oUX/5P59ggeHDKtVjkSR7mBwPJvCcfaU1WhgDYYMw2FK1Soz4+OUPR6cWoOebTMEkt0up27c4PHTp+iyzIymMfePYEDwqwRJkvjmt7/NxPQ0w8EASZKYm5//VE9t13X58Qd36MaiTOs6p65c4a/29jnI5Yh+wr9dAPq9PpmJCaLRKKLHi27bCLqBls3SmZ0l/uwpeX3Izde/94WG++PxONE/+mO25xfw/uiHHP63/y2dmzdZ+sQ5+nEMbRuxVGL3P/3PnDncZbZcYWgMMUtZMjs7/PXv/R4NTSMrSpjpEazhkG9MT/NupcI7d+/y+s2bX2sS/TsC/SXhui73V1YIpdNEAwHu/af/xOR//P8SG/YRtCC4MBh2yZkWawhkR9J877VXCU9O0mi1mD91ip3dXXLlMpasoMYiEAnjShKebpcxSWI8k8EzP//8RtRqtYiMjqE0/+u0saIo+JotVEl6of0+mk7D5uZxOqBtHycnGQbzMzMowSBuv/fCsOLHIQgCw3Yb2/kdgX6ZIckynbFRVAGuX7nCw0ePUDIZ3n/4kFc+8vo8gd/nIwCsrq5y9uzZ5983JYuw6Hxqp+SdD+5ghsOcDgYZHx9na2uLtqLglMtM/wKyYxgG+XYLUdHw+HyYlnU8QGgYJGemabfbhEKhn3vc6vo6R90umteD1mhw7cYN3nn8mIEg8P9v776b5MjPA89/05X3Ve29B7ob3s9gPDkkJZoluZJ4cRJ1cauLuNdw9xruBdxexN3ppNXqIqRdUTqtKNHMkDMcDNAAGkAD3WjvbXlflfb+aKAJ0wDaYRoD5CeCERx0VVZmdXbmk7/f83se0zQfu1gXi0Ust5vy2irOtmcH5LaDMTYyQmBtjaOqyoLXy/l33nmsPGBnYyNrooRmmly4vDlbEAqFqN6+TUAt423oQjAt0vkkSR2kgX5an8jVF3eYPjY4MMCt4WHk2lokQeDUg+AZoLa2lnd/+ENmhoYo3b2JLFiopkVW1XGJIhFZQMvmEEMh1GiUyYZ6NNOgmkoyq2moqyuUFxaRQyHKKys0NjfRAJz86CO629tpbm7edo0BwIlz57g9PY2zVIKWFnSnE0EUH3RvNcG0UCoVog4FKxhibnkZR1cXgc4OKpOTdIdCW4t/M6USksNBbat9bh8GURRf2B/BNE1+9sUXVGSZPlXl9IkTAHjyOe5bFie3eY9WLm9V7ugbHODLtVUMILi4iKO+AcGycK+t49lDlSdRFOnt7ydZV8fE55/R/eVnjE5PEX7n3W1zoxVdJ/+P/0jt9B0c/hjOpk60uVHWqibq2hru+/dZjsWYa2hkzu2nvLGx+b2IItNeLysrK1vNjF5HdgC9B4ZhMHLzJpVMBl3TaKhvwLO2xthvfkvv7z4lpGng9IOhk6+WWNBMRgWB7KnTfPyTP+H8+fN8euUKxbY2bq+uIjmcFEURp6YS1XTCwSD1HZ3P/Py19XVKus6JJy6cssOBT9cfC6A7Oztpu3OHyWQSwzSRTIOOrk76zl/AkmX8L6jz7FYUiqb5xpey+zozLIu8z0fzg2DmzKlTTM/MMGGafHrjJie6fp/O0d7Wxv2hIZyPBD5LS0sEYjG825wro2NjiLEY7kSc5iNHUFWVhVQKRzhER23tM8+ZRCJBvqoiOR14/X5UVcXQNIKyTG1TMzeXFvFVVc4+CMAzmQx3pqaQo1G8uRzHWlq3AmyHaVLepmJHPJHA19iItLLyWo+CvArW19ZwrayyZprETItjJ048VVu7pbmZ6evXKUkSXdUqTqeT2zdvUh2+SdQh44k1oKXi5KsVUp4grYODjy3MNS0LYxezYX5/AN3vw7ewsBU8PzQwOMi5f/9jfjE1gVLN45FFSobFhiUz19CKFIshh8MYHg8FWcYsFDBKZQpT0ziB2nyBju4eOt55h4ZikQ8vXtzxIuLA+fO0R6OMjI9TcjkRBBEBASwBLAuHJOEzTAobG4hdXeR0HXV6mg+fyN+vmiZKOo3/kQdd26tjfWODKzMzGIqDtxrqaXvkfn20tpa7lsX98fHHei8gCNQFQ4zeu8fgsWNEQiH8iSQaEFxbpXd9nQWAuVluDw1x6b339rRv0WiUi9//AZM9vSj/9A+Y16/z20yG0wMDj41Ga/PzqCN3KAUDBMJ1qGvzlAyTeQPikkl8cYlSoYi7tha9WKTJ5eT6nTt84/Jlsv/4T+RMg6X33nttg2g7gN6DSqVCJZfDqlSINDWRWF2hms1S+fwzBN1ACEQxC3my1QqzhsE9USJ4+hRHfvrnRB+cnBJgGQZCJkNnezuxU6d2HKAm0ml80ehTecueYBBtfv6xf5Nlme9++9ssLCwwOTOD3+ult6eHqUIerVTm+AtaSouCQKSuDlVV7QD6a6pQqVBUVdoeqazR1dlJTSzGlakpbs3Pc9KytqYTIysrCHW/n5WoVKuomkr/E2XtNjY2KLhcmIUCZx8ETJNTU3haW7EWFmi/cOGZ+zQ9M0NG05C9PhxOJ6lMBlNTCTqd1IoixVyecizGb7/8ElkQMEJBVMui0TTpfmJaP+TzockyqVTqsUBpfnUVZ309x/bZlcz2YsFQiFx7G8biIkXToGabxjSyLNNV38CSKHDjzh3cDgfzY2O44qtEA0GkYJDC4gRp1cA60c/xJxZkCYKwqxuWJYDp9SBvM2rtdDr5zg9/RHpxiVv/5/+BYuqUfQFudfWz4XEjyzKmJGFhYWgaRqWCD3grFKbn/HkadI0ykLOsXQXPAB2dm4MjIa8Xl9uN6HTCw8KZFoiWxYkTJ1hdW2NCVTFnZrj89tuPBc/pdBrB56Njm1ka2+GyLIsr166R9PuxdJ3vnDr11L26r6eH337xBb91OLh17RpBVSXi86Hm8zR53KjV6ua2AE0U0QSBimlRApwW6OUy2YWFxxoF7ZYgCPT295Oqq+PWnTtM+f1sDA9zvKFhq9a4ZVnkdZMlVccsFkjliixqFsMILAsimUIBT2sLstvDfEsLUcukd2iIO9UqA++9R/k//Q0LX3xBw49//Eo2q9ove1hmD7xeL13Hj2O0t7NarXLpW9+iJIqkyxUy3gCV2lrWNZX7usEdr4+aH/yAD7/9HSxNY359nXQmgxUOU15c5PKFCzTU1+84OLUsi4phkN3YeKpEUU19PSG3h/m5ucf+3efz0d/fzw+++10+/OADwuEwalVFFAQqlcpzP08EKrqOncTx9WRZFmVNw71NEBEIBLjU3Y1Llrk6cpeJ+/cBcHq9kM1impvlwtK5HE7x8YtfuVxmZHqaVD5PZySCx+MhncmQlSQK8/Oce0GN0mQ2S05VcbpdyIpCtVLBVDW8pkVfby/vXLxIrWWRF0WspiaEbI7zfX10b5Ov73I6UdxuZhcWHt9HoLK6aj/4fQVcLhc9fX2YxSI5h+OZAaVlmViiSNbhYEnTyK2sIqlVXMEoZi5HOp8mboh4Tl5mbLzIJ5+M85vfXOf69btUSyZCQeXWrbvcvn2XiYnJ5++UZRHfiNP+jHSKWCzGN37yEyqX32Oo9zhfDp5mIRZDKxYxKhUqmQxaubwZQJfKHHe7+emPfkgkEqK1tRWPoqCY5p7LV5qmSX51bbO1/eYOg2USeBBsJdNp8pUKMa/3qRkUXdeRXO5Xspb5m8yyLH7z5ZckgiEcmQwfbxM8A/xuaAgBOOt00u12U7EsJstlErW1rFZVZtQq/3TjBrfur5Equ8kTQUVEBdyCgKjreOPxF96/dyISjfLB++9zWZLIAdc0jWvDNwHQamrIdHUync9zZW6WoarOZ5LMSmMjuZYWAmfP4G1rw6xW+G1LM//a1UXRMKn/7DMsLIoffUDjepyVJ67Nrwt7BHoPDMPg3twcltPJQEcHsixT29LCrM/LeDrJfDZDTtNZCgTo+uM/5mhdHZW6Oox8HikYZHxqCjMYpKe5edcl4UzTxBkKYuXyT11UPV4vq5qKVSw+dxt3x8aI1NRQ3kFw0dbaysjq6uYT8SF01rPtj2maOCIRHIXCtj8PBALEFIWCoVNMJLj9t39Lc2sryVx+6zUpVUUul5EfWeE/OT2Nr70dYWVlq1zR3fv30YNBel7wQGiaJulcHlOS8Pj9GIZBtVLB0jRam5q2bji93d0sXbtGfn6Bb7/97EVSbW1tjF2/TuiRv6WVlRVcdXUEslk7feMrkkgkCIgivmfkheq6ztTaGoIo8uHJk+i6zj9/+gkpzWJqI443nWa9pJIK1hP2vY/DEUCrblCt+kgkwDRlJAkS6xAON2Nhcu/eDT78sHsrZ/RRJpuNfcLPyRHu7+/n3/3RH/G//ae/oSBJyKaFWVXRCwUkRaGSSOIIBjDTKXoa6olFo8ypKvPLyyiSRKy5mZWVla1a07thWRblYhFkCSRpM4i2rM0688BaoYAgSwxsM4MyPj1NVdPwd3ft7kNtL008Hufm+DjVWIwWTeXUMxZ2jo2PsxQK05lMcPpBEYCHcy3T09MUCgWChSKKJFORo7g9IabkP2W5VGRMgG5hFoMM4pIT171JWlrrqd9nhSFBEOjv66O+poaro6Pc9niY/PQTtFCIvv/pL5j/9Sc4EwnyksxbZ87Q2N7Gz4eusVhVwTQxq1VMh4OyJHHV7+OP791l+e//C13/w59zd2YW/z/8DOHf/5jmlp3V9/+6sAPoPbg+PIy/uRl/obB14p44fZqZ736XuX/+Z8xSCaW7mxJRe3sAADDYSURBVPZ/9wMa29sJbWyQCIUgGKQpkWC1XIF8nlJNDdNTU7R3dOx4eqNYLFLWDI5ucyIGg0HGdR35GcESbF60q7KEtbLCuxcvvjCA93g8+Hw+Zubm7NGOrylHtUpom5JJD/X09lJbV8etyUnqL1zEuTBPaGqKq5KIt6EBFAWPKG6dK2vra+SdTvS5ua262al0Gi0UwpnL0f6ClIlqtcpSJo3oUHC53VQf5D8Lqkb7E4GI4vVSu4MAWEagVK1u5f+vxeNIHg+D/f2H/fW/MdRqFZckE30i3/ihqzduoEQiNIsiTqcTWZZxt3eQjtZwJxFHsCAuStR/9zLtbaukkw7a2jROn346zWxiYpJyuUK1GuXmzQk++GD77mfiDnKmP3r/feaWlvirT3+DJckIooBZLqE7HQgZGVNVqVFVetrbcTqdlNfWUCQZn8NBRZapPJhu362O9nZqvV7mHo4imhYSm4stNzY2IBrFsbGB88jTf085TUMGe3blFbG2vs7t1VWEhgbaSuXNbpjbyGQyjCSSOESBM9tcm7q6urguQsTp4syFC0xOTRFYm8bV8W+4JxZwmFHCVoRhwqjOt0lcbWJmNs33vhc4kEZekUiE71y+zOj9+3xZLJIOBDg9P0/kgw+ofdCA62E521Q2y/rwMLqqIogiRqWCqDgYa2pmOhqjbmKSxclJTvzBd7j1N/8Z699+SeS/+5NXouHYQbED6F0wDIPZuTlKioI0M8PpR54w3W43P/kP/4GJy5cp5PNkNQ1LkgioKoVikdT8PEYsynIuhx6LEZidJZ9IINfWojY17ahtMcDC4iKxmhiOZzVdcTo3i/I/w/zCAqai0BII7nj0W5YkNMM47K/ftgf3R0fpLhZJulzPfV0wGORUby83JyYo9ffTKQj4QiFSfj+m00lheppkMonH4+HW1DQen4+Lp08jSRKqqnJ9bAzdsnj3OXnPDyVTKdZyOaRwCJfbQ6FcwtR1wi4ntU8EX+aDrpAvIqpV9LY2/unGTUQBlGgUxeXkN/fuoT5IRZEQEAULhyghPXLumxYYpSKxBzeGhz+xgHAg8MZ01dqvhfFxApKIuM1gwOzcHEWfD1c6Tc/Fi8BmKbA/+OEPQRC4+4tfkMtkaD17lm/84Ad0d3fzrz+/yuxMiL6+Et4nyhT29m6OcudzQxSLNWSz2W1HoaUdXOOi0Sjf/9a3GJmc5Obq2mbJT8HAKBRR3B4Ey+J4fQPNTU2IoohTFKnKEj1dXVxfWoIX/G09SyAQ4PvvvMPPPv+cdLWKYZoc7zvCtz78kLWNDcxIBL+iPDWDomkamiAQfQ27wX4dra6tcX1lBaNc5nggQOex7dcVWZbF1fv3KSsK3+rr3fZ8BRD8AYQH6ZmiadL6uy/Qz5xkrZSjurRIu7RCX1MT3ve7aGh28smvZdbXE3R0HFw1lv4jR6ivq+Ozq1fJ+QOcPXr0qcYo3/rmN5ldWebGRhxRUTCrVQxHBc3rZa6xEblYIPRP/8zdL6/iPHGcyv3xw/5VHTj7L3CHDMPgytAQRjiMmcngVZSnAlBRFDly9Cj5fJ6h2VlCpkl5eZmSLKNZFkY6A7KMHAjg6exkoL+fUqm04+AZIJ7NUi3kOX52+xEXV20tlaXlZ75/YXUVS5LoGnj+4sGHHA4HmXic1+eZ8c1SyedZTWdoHXzx7zsQCPD+2bN8MTTEWl0d+VQKt6bhaGykGApt3iQ0DcHnoysW26p5OjU7g6+piTrD2FGL99sjI6iShOJwIikylXQFU9MIIjy2WjubzWJK0o4e9HRZxpydpcnno1SpoAPe1TVEQcB6WIeY3wfHmqahSRJapYI/FMJ0OsiaJhXDQBAELNNCxyKxsGAH0Dsk5PPk/P6nrmf5fJ7Fchkrn+fCE2UNJUniez/+MecvX8bv9z82OtXY5CWZbGVpaZm+vu3TQgaP9XD1aprh4Qnef//xa+JSPI4r8uzmP486cuQIf/TtbzP1l39JQa0iKj48tTWc+vYfkFarhJaXqXnQmtmjKARaWojH45udAvdRJ/+dy5epicVIpTdLknZ3dVFbW8vI3BwVh4MTLU+fe+lMBlckwuAe0kZsB8c0Ta4MDZHyeqFc5uNTp547unrv/n1SPh99lcozg2eAwOXLhKOPzPaqKpc/+ojJlhbmJydREwlq3B7OffghiqJw69Y1rl0NU1NTxOc7uDRLSRQ5MjvH3NmzDC0vEwgEHmv+EvD7+cMPPyLxL//CcrUKkoRZKWMqCrfbWum/fp3ij36EOTdH3b1REgP9r9XoM9gB9I4kk0lu3b+PFArhzuc5/+67z72pL6+ugiRSGw5TnZuj2NxMWpZxaTqehgbCG3GyuSzCwMCuetnHEwkcNTWI8cQzUz5au7pYf0ZAnk6nEUMh5Gx2x5/pcDiwVJXKa9q++3VmWRZasYggCNt2vXqWwb4+pq5exdPby3o2i5DN0gBohsGirhNR1a3RiGQySRwBa3mZth20QTdNk0yhgC6JeD0eRFFErVYxVZXwg3Shh+bm5gjX1+N6QU5/sVjElGUiksSZkyf59MoVHIbJqcHBHU1xPy8Ael3b1r8UgQCNnU+X31yPxzGBzlh020YTAHWPdE99aGCgn7/7uwWel94ZCoXweiexrD7Gxyfo6/t9nr4py5SSCaTe59fqfehb3/wmt0ZH+Yc7d/B1dNB6+TKh7i6UbI5SoUAymSQajXJsYIDp3/0O2tsRYd8LrI8cOfLYf1cqFXKWhbNYpHab7zOTybyWFQ2+bq4OD5MOhfCkUlx6QfCcyWS4nkgQEQQuXr783O329D3eTVJwOvF4PJw9d46z586xNDdH6e/+y1Zp2ePH/Xz6qwDxeOLAAmjLspj4xS8RFZm+2ho+zWYZHhvj3Seu8S3NzXTHoixPz2AqMoIoIudyHJ2aJri8zNLsLJf+6I+Ym5uj/omiB9uJx+NUq1UK5TKaYWBaFvF0mqIsYwElw+DdtjaaX5GHRzuAfoGNjQ3GVlYQPB6OxmLbXugfZVkWy4k4pihRVRxUJZlQTQ2z+QKxYIjk4hIup4NAqcj62tpjXQifR9M07k5OUrUs3j158pmvC4XDhJ7obvRwv+6Nj6NEoxzdZVkvSRBweDyP1Ze2vfoMY7OcWGKXU72BQABN1TDHx6n29xNzOEjlc1AooIjiY80s7k9PkzVNznd1PXf0OR6Ps7S2xo2lRZbCYaKhECFF2WygUlURqipNTyz20iyLjcUFTp17fmC+tLyM2+elLRgC2Kypvr6G3Nmxo+O1z+mDceGDD576t7n5eRYqFRy53Fbqxm7U1AgsL6d53iVrYKCH69eTLCwU6O39/TVKx8LvcOz49+t0Ojl34gS/mZ9HBdRymVyhQE0kwqIksbq+TvRBK2dnKgVtbUiiSP45a0724v7kJM7mZvzLy09VWgJYjsfRsPB2du5h67aD0lRXR7RSoecFa4ksy2LkN7/B5/Pz7pnTu/iEzWuT8MQggOJykTpxjK4HD6M9PR3cvD7Gl19qtLY2H8jD1cTdu8Tm5jC++4e0t7XRcfUqc+Ewntu3OfugGQxs3iu+8c67rKWzTKWSxLI5js7P0xqPUzIN6n/9a4bb2jhz8SKqqrK+vk4mm0W3LCxgLZmkJMuUdB0DcAaDSIpCMZ9HliRky8Lj9yPn8wQfrJsIvUKlG+0A+hksy+LGrVskTBOpUuFYd/cLg2fYHOV1RaIoxSKpuTkMAfRcjmBNDYV8nv62VnxeL6V8nuWFhR0H0JPT07hqa2mBPU2DWJaFYVoY8QS+rt2t3B7s6SGXz9uBxtdMLpdDLBSI9Pbu+r21vT0kp6ZgaYmiaRLxeMj4/TgiEfTZ2a2ufz3t7ViFAsMTE7RlMtREIltT3fF4nNX1dabjceaBVDiMq6eXlmgNYbebYqXC/Tu3MDQVxTI59sRiqWqphG8Hwb9hWaiqSk1NDcsrK3hqagjmcvb5esg0TWP17l1kr5fze2g1LYoimrpOpfr8FLdwOITHM4mu9TExMbk1Ci0g7Ch//lFnT5/m+PAwV9Jpyuk0hWyOhlgd1XCY4ZkZBvv7EUWRqttDbm4OamvJ7XER4bMkSiWUcBjvNsGzpmmUsHAj2AsID1nrDlO7hr/4guax+zT96IdbC/D2o66+ntq6uq3rm8vl4uRpJ59/1sjCwhIdHW372r5lWWSGhqC5mQsPZkfeu3CBn125wqLfz5FC4bGZws7OTt7q70f+67+ifn0dv2lSFiBvCTjn54lfG+LvLAtDklA8HjRNw0RAAsLBIEImQ7PLhWhZyNUqsqZx5OjRp1LBXsXruR1Ab0PXdW5fu4bL78dTKPD2xYs7fqqbm53F6/PR1tnJutuN1+9nbmWZohnFmcvRePw4siwzbRhIyeSORnWz2SzzuRwOTaNjD6M4sHkzunzh/Nb/342ampqtoMj29TE7NcnRmhpW9jAi0dHTQ1tXFxtD1/A7HJw5eZKZ2VmWAFpa+eXVq5zq7iYUCrF8/Tp33G6ulEsEZzJ0372LQxCYtSwy4TB6UxN10RjHPF6wLJKFPPfW18im05QLBUzDpC0WQ1Y2L0dz8/PU1tRQU6mQfbAA8HmWEwkENi+wG4kEmmm+sEGQ7eW7+eWX1KoqZk/PtiOpLyIIAv6AQnbpxa8dGOhhaCjJ6mqWvr7NOuWCoqDscvFzIBCgJRjki6UlyqkUlUKecqVEIBpjYXWVRCJBLBYjr8jIlSokkwiVgwugV1dXEcJhrFyOY9t0GEylUvhr66jbR9617auTSafxDd0gfvYM5/cwkAEg6Rq5bPax6jZPxgx9fZ0MXRvjxg2dlpamHa1FeRZBEPAeP07TEzMcl3t7+dXKCr+4d49vPtGx8PzFC0xeu0p+bQ2nABULCoKFbJrEhoYQ2loJNjXh0HUGBwYe2z9BEF7J4Hgn7AKpT1hfX2f4V7/CE49Tzud569y5XU2JVONxKvMLBAIBjvT309LSQsECVVWJSBLKg8WHvoYG6mSZhSc6Bz7JMAyG793D5XRyZmBgX9MzkiTZuXNvEEvVmUskqKmt3dP7q9UqSDLig2ubKAiEFAVjaREduL6wwP/+13/N343cZbaQRw0EkXr6+Llp8kUgiDkwSGdPH0db21FEkamVZYbujXD31jCLo6OkJsbJTU2hbqxRryjU1dZyb2yM6WqV1bU1rHwe/wtmfcrlMrrbTcDtQhAEsqqKV9P2dQOx7d/C/DyhbI5EOEzPHgMHAK9XweuJsbj4/Cg6m83SpaQg18T4+ARLy8s07XKmDTbTOPq7ughYUEmlqGSzpLJZouEIS04XK+vrwGZeqqVWkQCpeHApHBuJBILfj6Jp2w505PJ5dEOnYQezobbDlc1mmfrZz8iHgvQ+0VVzxwSBcCzG4gviBJfLxdlzTtZWmsk9UsN/rwbPniX8RNnaaDRKc7lMzO/n7s2bj/0sEAjwwY9/jN7QSBkBTRAoIlABpI11Ql98QXtTE6dPnsThcCCK4tb/vq7BM9gB9GPGRkepjI7hNk2cg4Oce+utXd2I19bWaJJlRK+H3INScslkEtPvR9xY5+gjN5Leo0fZKJdZnZ557jZn5+aQ6uuodTgOZPrH9mawLAu9VKQsy89d8f08S8vL1LW0oMi/nyo2AScQESWufPYZ/+/P/5VMPofHMKlxuRi9e4dUIkHI6cTvdLKYiHNz7B7DN28yc+c2ibExspOT5O/fJzc6ijk/z3F/gBO9vZsLV9JpzGSCjvZ2EASEFzzwzS8sEG5oxKVsjnDWeL10PFFuyfbV0jSNtZERMmqVk5cu7Wtbg4P9mGaFQqH03Nf5/X7W1RS1yUnWljawLItkIkFjQ8OuP9Nnmpx3u9DyecrpNPLqCnWpNN3xDe6MjAAgu1xERQlT1/e/ivARiXIZoVjEp+vbpmisxuM4LOyBkFecZVmMXblCSzxJ5O239nXvjudy9D+jrvSj2toa8Qc0fvvbCXRdfynHdencOZTlZYK37lDIPx6oNzY10fLuO+QcTqqAikABAd2ycI2PM/rJJ1vdbV8X9jAND072kRH8a2ssmyYn3n9/V6XlHlqZmyMiiliVCvdv3OTiRx9SLJXwOhzUCI+XaJJlGaumhkChSKlU2javuVQqsVDIYxWL9F/afQ6h7c1lmiYuRaG6h6nzhyzLIhOP894jU8nlXI65pSX+9fPPmZqbxxQFzFKJ9Pw8Y5UKyWSSciLBPVHEE19HzeXR8nm0bBY9l0PLZLCKJaJuF90NDfR1dtLZ0UFraytD4+MossTZnl6mp6aIRSIkXpBuVCiVyVWrnH+QsjGwywWytoOlaRo3fvc7akwTc3DwmVU3dkoQBEwLCoXntyyORCJc/OY3uPr555RMg7n1dcxwmPrW3dXGXVleJpDO0NDUhGt0lFOff8JP/r8N6jSgUmasp4fERx8xcPIki3//9+D3IZsG1Wp138e6urqKFAjgzWY580S5v4cKhoGcSOB9onKH7dUydvcuraP3mT97mnPd3XvejqwopH2+HaVdhsMh6hvGWYh3sbS0THv7/nKhtyMIAj2nT7O0uMS9v/prBn76Z1upHIFAAF93N+bpUxSvXkUByoALAblSIfCrX3OzrY2zb7/9sr72r9wbH0BXq1VuXblCQ6XCiixz8t13ce2hML5hGBipFAlZxhmJ4HzQp35tYwMd6D/99OrbnoEBFubmnvl5127dQolG6Wto/FpPc9i+epIkMfjOO/s+b4xHcvRNy2JkfIL/+o//RKFQwAIs3aC6tkYGi+zyMnqxiCQIaEB2dg4tHt8MmgsFom4XzZEIxy9epLOjg/7+/q0Zns+uXsXd3EynphEOh5mbnoZ8gdpt8kAfVbZM3IZdHeZVkUwm6VYcTAcCXNhH6sajAgGBVOrFv19BELhw+TL/MnwTo7EJNR7f1ecYhsHCnTvU+/10BgOc++d/ZCA5hy/iQ1R84I5SM3GX+OoqgWAQMRxBEEV6mppZWV6mY59VMdYTCQRZ4sSxY9sGTOl0Goc/gKdSPpDv1fZyZLNZCp98itrURO+pU/u6NrW0ttL45z/d8Uz42XM95NfWGV1KvpQAGjZTOazvfZf4f/yP3PvsMy585zsAjE9OEnd76DxxgvmxMVy5HDICRQGcFjhWV8iNjFA+fXpPA5Svojc+gFZVFbFaZT0Q4MTp03sKngHSqRS1Dgel+npqGxrI57LMz8yQr1aQ5O1XSwcCAQaPH9/2Z8srK8i1tbjyeWoO6EZke7PsNw/YsiwenXCbGB9n+T//LdVy+cFNwQJDp5qIo6bTIAp4ojGCp8+gZ7OYqoqVStERCtPc1kZ3WxvdHR14PJ7HqiPcvHULGhoQVpbpeFiyTtMoGjo9z2kfX6lUKAkCYdO0A+hXgK7rzN64gWQanPz4WweyTUEQ0I0NNHFn12VBEPBrOorHw9ouFxBmMhkaVZVcaysXWluZGxgk8W8TpKo6PrmKgETQ1Lj3u8/oGxwkV1tDyOcjfW8Uq37/OcmJUglT15D7tv+71XUdNxbH7Pb0r7TZqSmkcJjWb3y477RLQRB2dR2PhMMExsZIud3k8/ld1f/fjVhNDbPvXCb2+RfcqamhpqmJkXKFcKXM2++/z3+dmiL/6ac4LYsqUBRANU0UQXhp6SWH4Y0PoP1+P2c//njfN+DZiQl8hkF3Xx+KojBpgZlO447FEAuFXW2/Uqlwb2EBh6IwODBgBwe2Q/Fo5z7YbIghZDMIigMsCwwDdA2rWsXSS/iamgg0NuIXBQL5HMcHBvF9+BEtAT+UyximyYYo4hZFFKeTsVu38CQS+KJR2vN5kqUy13/1KwxJgqqKTxBZWlgAQcDhdFL7xGLI2bk5nF4vzY+sBrcdHrVaRVQUwu09+05neEgQBGK1bjY0fcdpEgM9PQwtLmLIMqVSaUdBhGEYTI2MQLnMyQcBqrejiyVLIqGqNLmdyEYJp+QlOD9FKpXi1NmzaJrGzPAwyj6rYqyuriKHwziz2WdO18diMYLB4J4qmti+OsdOnsQ8fvxQygwKgsCZo0f5t9XVbRufHKQzl9/hajJF+Lefce3UScRgkG9fvIjD4aDp7FnuTE5SXFpCBDaAjNNBxOHg3B4HKV9F9iJCDqa+oCAI5D2erT8a0+dDaWjAHQjg3MUfkmVZ3Lp7F08sRnMotOcRcZvtIDgelODY2NggnslsBremCbqGoGlQrSJZUNvQQF93N++fOsVPjhzhf/74W/zJxYtEUklKiSTNssyFlhZO19fjy+Wozs7iNQwCnZ0sFousrKxQrVYJAI1AvQA+tYo6MoJ6+zYLY2NP7VuxXEarVGjYw0Ix28HzeL2c+fDDfVXd2M6x/n5kj4u5F1QieCgSieDJ53HHYoxPTr7w9YZhkE6nETIZqK3F6XTidDppPnoUPVRHvKpTMkxQ86B4CI3dIrG6svV+QZb31c4bYCOZxCHLND6nYo4gCHbw/DUgPai2dVgi4TA9psmCZZHP778ix7OIokjvO++gu5wE5xc4GQ5vnZ9Vh4Pjf/ZnaN09rLlcrIbDBD7+FscuXHit6pe/8SPQe5VMJplbXEQAXE4n/Q+6A1YfFNVvrK8nqSgUSiVO7aKc0sbGBmYoiL6xQeceaz7bbAehXK3ienCxy+VyZCoV3DU1uA0DM5HAwsIbCvOjS5cYECWsvl5qeno4cuTI1kPp5RMn+Pz2bSZMA4ei0NjYyNGjR7Esi0+vXCHv8TDY0bFZdYPN2ZftVmo3bVN1IGca9gXsFfMyygdKkoRgbebg79RAby+/XFjA+YImJ4ZhcP2zzxCrVQa+8Q0cj4xwnzx7lvneIySvrZDVNPyyimCBX9OYGL5B15GjCIJASRAJ7bMqRrZQwMjlaLGv+bZ9EgSB7pYWZtY3iKdSLy2NAyCdzTL79tvUTk7R9siCXdW08Moyp//0v2d9ZRmX20NbZyd9fX2H/fUcKPv+s0fzi4tkTZPapiby5TKfT07i9/lwiAKmrlNIppBra5FcLkZGR+lsa9sKKkRRJBKJPDVVp+s69+bmEB1OjnZ17brhic12kHKVyuZoM5vBS7ZcJhgK0TY4SCaeoJRN06XrfK+3l2WXm8H33n2qmozX6+Wdkyf59fAwt2dn8Xg8hEIh7o2OUgmHca6u0vZIjdSdzrioqkpZEIjZ+c9vBInNB7qdikQieCYnqQSCFJ7onPaom19+Scv6BktNjWTzedRkktmVFQxBQNcNGrq6uXn1U9YrKg0uJ7JZRhHd1I/fY3Vlhda2Nvr+8A/2nbJy4dQpJEmyr/m2A+F2u/FkMtxSZGLhMIGX0P5aVVVuJ5NYlQrH/uA7W6UVdV1HkETcksyFixcO+6t4qewAeo9OnzxJtVqlVC6Dw4nqdjO3sEDFNLfKgkYiEXKFArrfz521NQJ+P76AH1PTuHn9OjKbOTSiaVIbiZAtFHDV1FBnWTtqG26zvUyCKCJUKkiSxP2JCXLVCqIsIzscSD4vklqlLRgg093NqSNHnjk15/F4uDwwwPDqKrcW5ukuFJjJ5nBjcfHixT0FDdMzM9Q2NePc2Djsr8n2kgmCgJbJkN5l+oJTEFDq67h57x7vnD9PNpulUq2CZVEql5lfXiawskr5wnkkj4fxbBZFEtFkGUHTULDoOXqUIV+YhJqlZBgE1AKC7EIYu8P0xASNTU0HUlHgoHLGbTbYPJ/avB6m/H7ujo/z1rlzB/4Zv7x2DdXn4+2GhscGTtbW1ojW1OB4iekjrwo7gN6Hh7lyDz0a9BqGwfDkBOVUmvcubD6FLS8vk1vfvOHXeTxkikVERUE1TRZzOXzNzVgb63QeO767HbHZXoKqaeJ5ENyupVMgKwiCiGlZGLqBoOsEI1H6BwdfOAocDAapWV4m7fFyY30dRZE52dGx5xG3YqVCen2dD+y6z28Ev8tFYpdVNVymiU8USdfX899+9zs84TAOtxvLNPG53bQJAkuiQGF1BUWUONHTg6IoOJqacTqdZLNZssvL1J+9QPK3/4204cDvr6eYmmEjo6NVSkzPzNBnV0myvYJ6e3pYHhlhVa1iGMZzm+9UKpWt5m9P2i5xKpFOk3C6uBQI0NrS8tjPGhsbCZVKb8RDoR1AvySCIGACsiBsnbitzynqb5omv7l2DafXa09J214JDlGiqmtsbGywls4gyRJuw8Q0TSzTQLIsPE7njs5XQRAY6O/nd1e/xN/YRKdlUROL7XnfioaBS3g5Obe2V48sCARjMVZWVmhsbNzRe+piMVbTadRSCVlRcBUKHGlspFgsUZyZQUimOPHNbz6zU6cgCFQaGgieOMXkZ79gLJMmo2mkynkWTZlTwRCrqkY0kSC2j3PZZnsZnE4nTW43d0JB/vbzz/HKMpplYVoWblFEB3TLQrAsDIeDmvY2LAQEQDdNREFA1XXyuRySKFDWNByihCCKaBZEqxV6tql9LoriM1OmXjf23ecl0ozNk3AnRFEk5HaT0jQsy24MYTt8glbFHYmSTqcpAiWPh/FYDbphYBoGAUWhLhrd8fY0TSOHgLK0ROs+FktpmkZZEAgbdv7zmyIWibAqSaSz2R0H0AJQLpcRSiWcpsmlS5cwDINbY2PIXi+hQID25+SG+v1+hFOnKPv9jH9ylvHhK0wXimSRkS+9TXtbOyPLy9zOZXkvFLIf5myvHN0wQN8c7BAtC8k0kSwLy7KQAbcoIggClqahT06BIOAURRRhM5D2SRJv9fTwoOr/Y2VNvT1777D4urD/4l+iiqbRsosAIxIOgySxuLj43NFqm+2rUBuJsm6alKtVksUCgseL5nSilctYuo4Li2MPWmjvxP2JCbw1NbTL8r4WS6XTaURdp9EuX/fGaG1tZWr0Hk7D3PF7QqEQ4ckpYl2drCTiaJrG/OIi5UiEelVl8Nix5z6ACYKA3+/n+MmTWP/L/8qVn/+cSjpNLBblB3/6ZzQ2NlJVVTYcDq7euMHbF17vBVO2r5dKpcJUqYQzk+FH775rL1B9CewA+iWyTAuv17vj1yuyDFioqnrYu26zbaUhLSwvk61UcAWCiKKIoetYuk5tILjjPDdVVZnJ5Qjk8zTvs7h/bW0tl32+pyp+2F5vsiBScjm4cm2IIz3dKIry3KnimliMuV9/wkqpiNrQwPrGBveSSQKGwbEzZ3Y8eyEIAidPneLI0aMUi0VcLtfWdb2rs5PVoSHESJjllRWadjg6brO9TJZlcWd0FDUQ4N1AwA6eXxI7gH5JCoUCsnN3q8YbGhoYvXEDfZ81RW22gxAKBFje2GA1nQZZQXI4HjQgNLB0nZZIZEdl5zYv5mNIisxAa9tzF7PslB08v1mmZmaw3G6q+TzelhZG0mlQNaqpJLIg4JIk+vv6kCTp8aDaMhE1DUFRuL2+jkfXOb/HLnEul+up812SJM4eO8adpSXGl5epr6s7kPPbZtuPXC7Hut9PYG2NpiNHDnt3Xlt2AP2SZHM5/C7X9ktYn0EQBGTLIletHPbu22zU1dVxY26OkiQhKAqKLGNaJpZh4JJEIoHAjkbx0pkMOa8Hf6Jkl2e07YqmaczMz7NkmkgbG1w4fpxiqQR+P+PT05sLnQAzGOR2IoFkWZTjcSTLoqmmBsHtRtZ0luNxRMPkvdOndjUruBNer5eAaVINhxmfmqL/NWsWYft6sSyL8ZkZih4Pl/dR6cj2YnYA/ZIU83naKhXUXbbi9soyKdNE13V7UYrt8Ok60+vrCIqMrCgYDxYQ+iWZ8A6K81uWxe2xMTSPhxPbrNi22Z5FVVWu3LiBHgziyOW4ePYsiqJsBcC1NTVbr02l08TjcTbSaSygKssknU7knh7qU2ny3d3ICwssLS3R3NSEIAh4PJ4DW4Q6cPQoV4aGWHO7Ce2iUojNdtCy2SzrAT/+tXUae3oOe3dea3aE9rJYFug67PIC7ZAkGtraSGcy+yrzZbMdBFHXKVWrSC4XkiyhlitYho7DMOjfQQ3mdCaDEYngy+Wot0efbY+wLItyuYzb7X4qkFVVlS9v3iTQ20t+YoJ3Ll167rYi4TCRcJiHY7+appFMpVhLJNjQNcrzczhMi7TbTXxjA5cgkF9bQxEEosEgPd3de0rreNSJgQF+N3KHGUnE4XDYpe1sXznLshidmSFdrfLt3l579Pkls7/dl8WymF9fp7a2dldvC4fD5PMFKhU7jcN2+Er5PIVKBUmWEQQRQzcwNZ2WWOyFHdgsy+LO2BiSqnLMzsOzPaFcLjN34wbra2uP/buu6wyPjOB9EDxfPHNm19tWFIX6ujrylQr5cpnL3T18dOYM7Q4H9ZZFeWMDHSiIIml/gCs3bmBZu8i324bH46E9GsPh9zMyOXnYX6/tDZRIJBiTJDpk+bEZGtvLYQfQL4tlYZrmrtMwGurrMQ2dxeXlwz4Cm41ypQKShPKgjbJh6KDr1Pl8L1xAmM5kqASDuCsVAjtI97C9WSzLwrm0hKHrW/+maRqfDw2h1daSH7/PxTNncOyyhfdD6XSaos9HpywzOzmJLMs01NfT09XFuxcu8PGlS3x85gzVxQWUWIxCobDvY+rp7sadzVH1ergxPHwg31G5XObOyAhT09MH9+XbXjuWZXHt/n081Sqn+vsPe3feCHYKx0uSz2RhD6uxRVFEKxQwzZ3XO7XZXgbTNJleWUFQZCRFxjRNTENHAnwvyB+tVCrcGB9HcbsZsNtt27ZhGgYI4laam6ZpXLlxA2IxrOVl3jpzds/Bs2ma3B4fRw4GSWUymM942JMkifb6emZU9cCuuYP9/SSuXqUUiRBPJHadiqdpGoZhMD45STyfR47FqFar1O1mRbrtjXPn7l2ywSCXIxF8B7xQ1rY9O4B+SQRNhT0sApQkCUHT0CXphf3rbbaXaXZ2FlUUESUZRXE8KF9n4BVFAi+4QE9OT+NqbERZX8fv9x/2odheQffv3qUrGqUsCBiGwfVbt9DCYVypFG/vo1MlwPTMDHJrK8riIobTifWc2vpejweXILC0svLMtt67IQgC548d4zd37jCSSPJ+JPLCXFRN08hks4xPT6PKMu5gkHy1iiJJuHM5Tvf22rM4tmcql8vMl0o4JWmzIdsjDMNAfzDL43A47O6tB8gOoF8SS1UR97goRRFFxHDYDqBth6pYKrGSyyL6/EiShFapYBoGimlw4tixZ76vUqmwViiiZzJ8vM9AyPb60iyLGbeLFlnm86FrSI2N1BdLDOyzo59lWcwlE2hJgXf6+4nHYqjV6jNf73K5MJJJEtnsgR2b1+ult7aWNVHkytAQb50//1jgYlkWmqYxdv8+2XKZoijii4RRXS6sYol6WWawr89++LTtyP3JSbLhCD25LE6HA1VVmZ+dJTU5ibm+QnRlg7TPzdH/8S8IHMBDom2THUC/RNoeg9/WxkbG02lUTdvzFKbNtl9zi4sUVA2XoiCIIpquYxk6fU1Nz72xT05PodTXEdjYsB8Abc9UBpJAcXaWQM/mgsGePSwYfNLV69eRaupoVqv4/f4XBqHBYJDSyAjSAQ/MdXd1URgZoVRfz/3xcY709RGPx5mem6OgabhqazE8HrRymYgkUScrRDs77aDZtiuGYTCVzeKqVIhXqvz97VsElpY5Oj2OoIPV2UGms4eugQE7eD5gdgD9krgbGqhvaNjTe70eDzFBYHZ2lmODg4d9KLY3VDqfB0VBkmWwrM3FXrpBzON7ZgvvSqXCcr6Imc68sPSY7c2mmRbhrk5KuRzK+vq+Fgw+lE6n8RUKVKtVjrz99o7f5xJFlJoa8vn8gQawJ48d4xdffknV62X5yhU8DQ3kFQXLsnDl8zTU1tK8zxF325urUCzy21u3WAsG8ZXLVC2TumqVjuPHEU6c4HRLi91P4iWyv9mXZPD48T2/NxAIkJieJvqMIMVm+ypMLS0hyJsNVEzLwjIMFCDgffYCwonpafx1tTRLkj36bHumYrGIHA5hyDItgsDRA6oaMDkyQiSb5dSHH+4q17O1vp6pB4v3DlrU7SYbCGDm89RaFsd7e+1FXrZ9G5+YYDSRYEMQ+MjppK6piWg0eti79UaxA+hXkKIoYBhkS6XD3hXbG0zXdQRBQBAE1GoVS9PwigJ+j2fb1yeTSdKyjL66QvMFO/fZ9mx37t3D1dqKZ3WVrgOq0pJOpwkmEiTDYbp3ueAu4PfjLxRYW18nFAod2HEmEgmSpom4ssLHb711kF+h7Q02PjHBF/E4XpeL7zc10VBff9i79Eay60C/ooIOB9Y+O2PZbPtxorsboVgkt75Gbm2V8sYGHR4vgwMD277+7vgEssvFmf4Be/TZ9kzTMzNooRCl6WkGjx49sHUek8PD5HWDo3vIo3Y4HGiVCmvJ1IEe68LyMt5ohA47wLEdAMuyuHHnDncMHT/wXnOzHTwfIjuAfkVFQiEkt5tcLnfYu2J7Q33/O9/hrcZGOmQZX6nMsWCIt0+ceGaLYkkSMVZW7EVQtmfSNI3p9XVKqRQfnD9/YMFzOp0mkEggd7TvqdxbMBikmkqhmgeXwpFIJIgbOqxv0NnRcWDbtb2ZisUi//rllwxLIsF0hh9dukRdXd1h79YbzU7heEVFwmHWJiYw7IYqtkPi8Xj4i5/+lNnZWSYSCWqcTt5+zoKny/ZiKNsLXL15EykUotvl2kxVOyATn3yCrDjo7u3d8zY8sozu95PL5Q6k5vLdiQkkn48TfV0Hdpy2N1OxUODGlSvEa2u4KMn0X7z4wtritpfP/g28oiKRCJcvXiR8gPl4Nttuud1u+vv7cbtcWHYBfts+TE1PU/B6aJblAx2RvfHllzQ6HPiO9O2rEcqRri5ERUE/gIWEiUQCIxzGp6p47QWDtn1YXlxk4f/6v/FNTXHO5aa/t9cOnl8R9m/BZrM9U6FQ4NOrV/E0NlGVla2OVjbbbuRyOZaqVZRcns729gPbbiaTwbeyworTRd8BLEZ0eNzcn5jY1zYsy+LO7CyldJrBI0cO7Fhtb57b166R/cv/B9XjpeXHP+ZIX58dPL9C7N+EzWbb1tT0NFdHR9GdTpzrayg+L3fu3j3s3bJ9zWiaxs3hYQDO9PcfaOrG8tw8ouLgyPlz+96Woijo+QKVfY5Aj46N4W1qoiscxufzHdix2t4stz//HP8vfkmxs4PG7/0hNbW1h71LtifYOdA2m+0x+XyekbExrNpaTOBUczOxWIxfXr1K2eVC07QDDYJsr7ebV65wpFqloCgHWiIOoKWzgw2vZ1+pGw8Fg0EKIyP72oZpmqwUCli5HAN2EyzbHhQKBe79/Oc4JydJvv0WZ997b1c1zW1fHTuAttlsW/L5PDfHxwl2dlKameGb589v/SzqcqH5/SQSCRr22GXT9maZmZ4ikkwy63Fz9gBTNx4KBAIHsuDvIa8skzWMPT8kXr1+HUc4TKui2KPPtl0r5PPc+6u/JlRV0b79HU6eOnnYu2R7DjuAttlsAAzfvk1GUTAlCVcyyYlzj0+L9/X08PnoKFVdtwNo2wupqkpidIyI18vgpUtfi1mLoz09jKRS5HK5XXd1M02TqteLkUjQYbext+2BZVmYTU1E37pErKbmsHfH9gJ2AG2z2bh+6xZ6OIy1scGpri4ikchTr/F4PERkmTQCqqoeWA1f2+tp+MoVOtxucq2tX5va4IosY5TLpNLpXQfQ98bGcLrcNNgjz7Y98gcCXPrB9w97N2w7ZC8itNneYDMzM/z66lUqwSDWxgYfnju3bfD8UGNtLZ5ggLuj9w57122vsJnJScJr68wIAm1foyYiwWAQLZdjZSO+q/elUikWSyWEdIr2trbDPgybzfYVsANom+0NdfPWLfJeLzgcRCoVLp17cSWDxsZGiokEiUIR027yY9tGKpXCmJgk6XFz5t13vxapG4+SBIGKsFk9ZCcsy2Lk/n2cDgcDfX2Hvfs2m+0rYqdw2GxvmHw+z/DoKFJdHdriIic7O5876vykGreHos/LxsYG9fX1h304tlfMzOgoXtPk+AcffO2CZwCPJKG3tfHZ0BCN0SjBQOC5Of+pVAohGsNfyH9tUlVsNtv+CZZlWYe9Ezab7auRy+UYnpxECgaRMxkunDmz6xJJxWKRq/fvI6sq79qLpWxPKJfLpFIpmpqaDntX9iSZSnFtIw6pJI5gEEmSMfM5Ii4XdbHYY8G0ZVn88osvEL1eznd12QG0zfbmEOwRaJvtDXFjeJisLGMIAqcjEaLd3XvajtfrRVJVKopCtVrF6XQe9qHZXiFut/trGzzD5kJCqVqhs66O1pYWhkdGKDocJEWRRCbDrfkF6r0e/G43mq7jjMXwlkp28GyzvWHsHGib7Q0wOj6OGokgqypn2tuJ7iJlYzu97e14RRF7Asv2ugkEApi5HAvr6zgcDi6cOcP7x47xTk8PwUoFnygQ13UKwQCLpSJaNkswEKBSqRz2rttstq+QncJhs70B1tbXiScSDBw9iigezHOzYRhIknTYh2azHbhPv/gCIRDgZEvLtl0ONU1j5N49iqpKQZJwBwKUslmUapXOhgYaGxpwu92HfRg2m+3lEewA2maz2Wy2R4zdv0/e6aTD56PmBQ0tDMNgdXWVhZUVctUqzmiUUj6PS9dpb2zE7XLRaDcestleN3YAbbPZbDbbo1RVZeTuXfqPHt3VSLJpmhiGwe27d0kVS0iRMEY2w8eX3jrsQ7LZbAfLDqBtNpvNZjtopmmi6zqiKCLL9np9m+01I/z/j1Fmjuq8SwgAAAAldEVYdGRhdGU6Y3JlYXRlADIwMTUtMDgtMjhUMDI6NTM6NDYrMDI6MDAo0etDAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDE1LTA4LTI4VDAyOjUzOjQ2KzAyOjAwWYxT/wAAACB0RVh0cGRmOkhpUmVzQm91bmRpbmdCb3gANzIweDI4MyswKzA/1uSgAAAAFHRFWHRwZGY6VmVyc2lvbgBQREYtMS4zIFMGrL8AAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "execution_count": 79, "metadata": { "image/png": { "width": 800 } }, "output_type": "execute_result" } ], "source": [ "from IPython.display import Image\n", "Image(filename='./data/pcca_structures.png', width=800)" ] } ], "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": "3.6.6" } }, "nbformat": 4, "nbformat_minor": 1 }