{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Reaction coordinates of the Alanine dipeptide" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now demonstrate how to compute reaction coordinates of a small biomolecule based on long-time trajectory data.\n", "Specifically, we analyze the Alanine dipeptide, a small biomolecule commonly used as a first test system for computational methods in molecular dynamics. For details on the mathematical theory behind the trajectory-based transition manifold method, as well as more information about the molecular system, see https://doi.org/10.1063/1.5035183.\n", "\n", "![render](data/Aladipep_render.png)\n", "\n", "(Image source: https://arxiv.org/abs/1904.08622)\n", "\n", "In this notebook, you will learn how to\n", "- import the trajectory data used for the machine learning method\n", "- apply the kernel embedding variant of the transition manifold method to the trajectory data\n", "- interpret the computed reaction coordinate in the context of molecular conformation dynamics" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First we import the necessary external modules, as well as the TMRC modules." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Generic imports\n", "import sys\n", "import os\n", "from IPython.display import display, Image\n", "import warnings\n", "warnings.filterwarnings('ignore')\n", "import random\n", "random.seed(0)\n", "\n", "# Numerics imports\n", "import numpy as np\n", "from sklearn.cluster import MiniBatchKMeans\n", "\n", "# Visualization imports\n", "import matplotlib as mpl\n", "import matplotlib.pyplot as plt\n", "from matplotlib import cm\n", "from mpl_toolkits.mplot3d import Axes3D" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Tell python where to find the TMRC package\n", "sys.path.insert(0,'../..')\n", "\n", "# Import TMRC modules\n", "import tmrc.system as dynsys\n", "import tmrc.kernels as krnls\n", "import tmrc.transition_manifold as tm\n", "import tmrc.embedding_functions as emb" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### System description and data import\n", "\n", "The Alanine dipeptide consists of 22 Atoms, including hydrogen. Hence, when considering only the three-dimensional Cartesian coordinates of the atom's position over time, the dynamical system for this molecule is 66-dimensional.\n", "\n", "It is well-known that the essential dynamical behavior of this molecule can be described reasonably accurate by changes in two central dihedral backbone angles, indicated in the picture above by $\\varphi$ and $\\psi$. \n", "When plotting the Ramachandran plot of these two angles, which corresponds to the free energy surface in these two coordinates, one can see four clusters of points, that correspond to four metastable configurations of the molecule:\n", "\n", "![ramachandran](data/Aladipep_ramachandran.png)\n", "\n", "(Image source: https://arxiv.org/abs/1904.08622)\n", "\n", "We will investigate whether the transition manifold method can recover reaction coordinates that describe the transitions between these conformations. However, no knowledge about the existence of these essential dihedral angles is used in the computation; the method will be applied the full 66-dimensional data." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The dynamical data on which our computations will be based comes from a 40 ns long [Gromacs](http://www.gromacs.org) simulation of a single alanine dipeptide molecule in aqueous solution at temperature 400K. For details on the simulation setup, see https://doi.org/10.1063/1.5035183\n", "\n", "For this demonstration, we subsampled the original simulation every 0.2 ps, resulting in a total of 200000 frames. The data is saved in the NumPy array `trajdata.npy` which is provided with this notebook. The following command loads the data." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(200000, 66)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X = np.load('data/trajdata.npz')['X']\n", "np.shape(X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we construct test points in the state space $\\mathbb{R}^{66}$ that will serve as the evaluation points for the final reaction coordiante. The test points need to evenly cover the area sampled by the trajectory. To achieve this, we apply the k-means clustering algorithm with a large number of clusters k to the points in the trajectory, and use the cluster centers as the test points, as the centers will be naturally spread out across the data. Specifically, we use the `MiniBatchKMeans` implementation of `sklearn`, which performs faster on long trajectories." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# number of test points\n", "ntest = 1000\n", "\n", "mbkm = MiniBatchKMeans(n_clusters=ntest)\n", "mbkm.fit(X) # cluster the trajectory data\n", "xtest = mbkm.cluster_centers_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "While we cannot show the distribution of the test points in $\\mathbb{R}^{66}$, we can compute their dihedral angles $\\varphi$ and $\\psi$ and show their distribution in the dihedral angle space. To compute the dihedrals, the `BioPython` package was used. In the plot below, we see that each of the four conformations contains at least some test points." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# import BioPython methods and data structures\n", "from Bio.PDB.vectors import calc_dihedral\n", "from Bio.PDB.vectors import Vector\n", "\n", "# compute dihredral angles for every test point\n", "phi = np.zeros(1000)\n", "psi = np.zeros(1000)\n", "for i in range(1000):\n", " v1 = Vector(xtest[i,12],xtest[i,13],xtest[i,14])\n", " v2 = Vector(xtest[i,18],xtest[i,19],xtest[i,20])\n", " v3 = Vector(xtest[i,24],xtest[i,25],xtest[i,26])\n", " v4 = Vector(xtest[i,42],xtest[i,43],xtest[i,44])\n", " v5 = Vector(xtest[i,48],xtest[i,49],xtest[i,50])\n", " phi[i] = calc_dihedral(v1,v2,v3,v4)\n", " psi[i] = calc_dihedral(v2,v3,v4,v5)\n", " \n", "# visualize dihedral distribution\n", "fig = plt.figure()\n", "ax = fig.add_subplot(111)\n", "\n", "ax.scatter(phi, psi, marker='o')\n", "\n", "plt.rc('text', usetex=True)\n", "font = {'family' : 'serif',\n", " 'size' : 16}\n", "plt.rc('font', **font)\n", "fig.set_size_inches(5,5)\n", "ax.set_title(r'Essential dihedrals of test points')\n", "ax.set_xlabel(r'$\\varphi$')\n", "ax.set_ylabel(r'$\\psi$')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Manifold learning\n", "\n", "Next, the transition manifold and its parameters are set up.\n", "\n", "Internally, again the transition density function associated with each test point is approximated from the trajectory data. The lag time of these transition densities again needs to fall between the slow and the fast time scales. A lag time of 20 ps has proved adequate empirically, which with a step size of 0.2 ps corresponds to 100 steps in the trajectory.\n", "\n", "For measuring the distance between the transition densities, we use the kernel embedding method due to its superior stability. Specifically, we use the Gaussian kernel with bandwidth $\\sigma=10$.\n", "\n", "We can then instantiate the transition manifold as a `KernelTrajTransitionManifold` object." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "system = None # we do not have an explicitly-defined dynamical system, only data\n", "\n", "lag_time_steps = 100\n", "\n", "kernel = krnls.GaussianKernel(10) # the kernel for the embedding of the transition densities\n", "\n", "kerTM = tm.KernelTrajTransitionManifold(kernel)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By calling the `fit()` method of the transition manifold object, it is populated with the trajectory data, and the manifold structure is learned by the diffusion maps algorithm.\n", "\n", "Subsequently, we can export a reaction coordinate of a desired dimension by calling `predict()`. The resulting array `xi` is the reaction coordinate evaluated at the test points. Our choice of a three-dimensional reaction coordinate will be explained in the following." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Sorting into Voronoi cells...\n", "Assigning trajectory points to centers...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 1000/1000 [00:40<00:00, 24.77it/s]" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Computing symmetric kernel evaluations...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\n", "100%|██████████| 1000/1000 [00:02<00:00, 382.80it/s]" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Computing asymmetric kernel evaluations...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\n", "100%|██████████| 1000/1000 [17:58<00:00, 1.08s/it]\n" ] }, { "data": { "text/plain": [ "(1000, 3)" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# learn the structure of the embedded TM by \n", "kerTM.fit(X, xtest, lag_time_steps)\n", "\n", "# export the reaction coordinates\n", "xi = kerTM.predict(3)\n", "np.shape(xi)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By plotting the entries of `xi` as points in three-dimensional space, we get an insight into how the reaction coordinate values are distributed. The values appear to cluster in four distinct areas of coordinate space, with traces of points connecting the clusters." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = fig.add_subplot(111, projection='3d')\n", "\n", "ax.scatter(xi[:,0], xi[:,1], xi[:,2])\n", "\n", "plt.rc('text', usetex=True)\n", "font = {'family' : 'serif',\n", " 'size' : 16}\n", "plt.rc('font', **font)\n", "ax.set_xlabel(r'$\\xi_1$')\n", "ax.set_ylabel(r'$\\xi_2$')\n", "ax.set_zlabel(r'$\\xi_3$')\n", "ax.set_title(r'distribution of reaction coordinate values')\n", "ax.view_init(30, 240)\n", "\n", "fig.set_size_inches(8,8)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When plotting the reaction coordinate values in the space of the two essential dihedral angles, one sees that the four clusters correspond to the four conformations, and that the traces correspond to the transition regions. This confirms that our reaction coordinate can resolve the transitions between the four conformations." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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+tPILdAaHflI0V3jNR/+Z/qEiAMokk1BIviWZwKOns8B//N/30tWen71BHsE4O+GocjjsxIf+7joefHZb7b0AopLnQrFQS7hI5wO5wOe4o+bxXN9eRsvhhOM1ZCVJcv/QduJkwtOK960+h4++5WWH7LMARMbw0X/9b9Y8t5VKFOMBJpTk80gy/kXd7Xz7f/0e7XnniD9Qzr/5yppT8nd6nmL1vCfxlUGrZKEsH6zgjMXfQ2t3jWcCZyeOHGYkhTD1zr0jfbsSQESumIlz7Q8PDTxB2cZExiMfRHRkU0dE2r63nKUUZRBReNpiPcNQXESwoKSuZ3M8nTy4NusX23jiDpMgIuyuDJL3MnQEhWRs4SC/2HE3m4vbOaFjORctOo/dlQH+a/PNhDZZzRkMgwaBuUgMUWz4uyd/zFdf/OFpn9/RSEcwD8rrASHvhQ0OSktM2Y5w565/443HHHoHpeMQIGBaw0/vSGlVGwGwp3Q/W6NO+m07HbrIisxuBJW4ewR22C5KNosAPpaMDinFO/CI03vv1HZCIQ3RvPVIEwfYZIgYymYXge7E120AVOJN9A1/i8hspj33cnoKb2FnaQ0bh2/CSDkZf5RPHXDJGGIJMcZwx65v84aj/3ja53c00tOZTxxY6eSz/lsQRob+wSLf+ekD/ME7D+3E03GIcHai5WhlO/H4hp2kiRxYj9psSgBSp0/9s2I5ilm7ZTfKa9I4HjV2fx6PFSGMzbTHGcWG3UOj9LTnyWcCAJ7dsocb7niUvcNFLjhjJReefQI/vPcxHli/hXIUg4DEyT2sGuNQjmJ2DAxz3Z0P86GLXzzt8zsaafdyDMUlCrrCxfOeINBjwRFWSpSi59g1+t8s7nj7LI7SMSnOTrQMM6WBdRVwRTX/USn1gFLqEyJy9Qydb5+MxEXWjW7FisbTAgIjYYbQenhKAGE0zKUP9hBbjbGanuxQ7QZTsR5l45Pe1sn7jasoCmk6dwlUwMsWTO+G/0D/Wq564joGolFELMd3HEOH18a60kMowGC4b++j/HDrzZzXu4rYxmR0jK8s+UJEMQoYCPNYGdPberD/OSIbE+g5J3l2SDh//ptYP/IIsZTRTR8qhI2jDxz2cTmmh0CT+EnHLNNyNgJgONrB4yVFTDs+MT16lJ1xF6H1yejkwb4oWYTk/hqhMFaxxNuF1gDCoM0zbHNU7URGNS5elCTT1MWlVIHOwlunNc5tIz/j8b6/xUgZxNKRPZuy8emVG9ORxQyVbmXX0FcZUOdipUhWRfjacFJ+K/1xO9uj7trnEAxPD/2a1x31R2jlHdjFm+O893Wr+Ny/30J5XHpQlSg23PHAs86B1aI4O9GStKSdeHLjTuJwzImkgFpGuEoisRpu8pLMOUzFoEgmXiYjSDC5E0u0avqFzAY+F505PU29b/7yAb76s99ircUKnHv8sQz1jfDE5t0gghW44+H1XHfrgxRzNnFeVc/vp5Fkdc74SmT48b1P8MHVq5xW4wHy9qUv5Zsb7mB5fhuxaIJxv2QrJfqKv3AOrBbF2YnWYaY8GucAF5HkTEKSY7lqhs41LX6+/TbiVIC7YjRDNWeVwoggolDKIlJ9eE/WyYfCHPPzSVpAVhsQUKodIyW6MklaSGQ1FRNgRSFAVgcohEhicjrLkvxCXr9k37omm4u7+eTD/0bFjj0APzG4Ea0sXVlTW7BJBOJj7ul7kKwO0SoJ80UJ7ZmQXBCzbaSTqtmxCKtv+X9c+5IP8IJOl+a2v6xoP5XXLPl9btrx70CpaZ+M13ZYx+TYHxRmH1ExB3zksRzyXoB95Xjvq//BtLfyanUTWs5GANy75z+IETwsvV6RbfG81GWtCG3VXNZ/lxSCYtAWmOePAtClyxjRVOhCSZHsOAeWAJviHpb6JbQyQIRSBQrZ8+govGmfY+wv3c8je/4CK2NpiXvLvyWnIrQ3di4rRaJ4K1Z+S0FXkpGqJKVxgT9Mmy6ztrKk9nnKdpR/WvsR3rv8c3RlFu7vpZvzvPalJ7N55wDf+Ml9mLh5xHVXu9M2aV1mzk44DpiWtBOfv+72JIiK5H5eywavpg8qQDNmKtKIKtFjDiE/TCK3/KxHFJlkUiygDKg4sSxaKfyMh7EWK0I28Hn9uSfzouP2Xdn0Z/c9yZd/8mvK4di96I4nnkPFglc3Ay9VIp7ZvBvdUTcdrI5bp2mRdQFfm3bs5d2f/Sb//PG309nm7mf7y+8f9yp2V4Z4cu9OdNPbjSbQvYd7WI5p4+xEqzAjDiwROXvcprM4xOrz+8uavY9hxBJbRTkOGjRMQKEU+J4QxtKwvRyPXSKloD1Q/MkJ72FvtIUfbv0hI7GhZDK1fRQKT2V4zeLzKdsKp3a9gHN6TsfXHpE1/Gb3s+wNi5w9bznHFBqFv3+w+S5i2xgarBQICiMKrzqVUolTam/Uj6cEQVGKPDwtZD2Dh6XNDymZgLwfEngWIyX++P5r+fkrP+1WTg6AF897DWf2vJIfbv4MW4qPYOsEmH2V5ayeN8/i6BxTIYCdgZBfpdRVwH3VKh5KqavGVfXYr/4H206LrlY3oxVtBMCWYqKb0uuNMJKmCdbbg2YImlGbZR6JA0srYWEmywnzP8+u0ZvYPPJDbENqoCIiwxZZxGkdq1EUac9fSCF7AUppIlvhuZH7iWyFZe1n0O43Psw+O/gvDc6r6jlDPGKr0ojiqu0IMXY7ihwGTdkEBMqQ1TF5HdGmK0Ti0+2NktUxkezlR5v/P9638tDqcM0FlFJcfslLefdrz+ayv/wOG7f1Y+tuPLmszztfO/5r72gVZspOOA6cVrUTj65PinUINDqqGMsMFAvUB7MqhYzTPVza2cXf/sHr+erPfsNvntqEKZnEgZXsgO95HN3dyQVnHkdshYvOPIEXHbcEpRQjxQq/eXQDIsJLTls+wZn0tRvvaXBepYdEfLBpemB12OUwJirGkFWJE82C1H2uMSedYIGndu3hk//yM778J5fs/8Wb4/ja48pT3sbeysU8seNirOyhPl1UqyxLOt89ewN0TImzE63DjOeUpREDtxxq9fn9Je/lEZs4gyLxmGwyMj7z3FeNwYJGDGf3noSvTiHrZfnK2sa5qiCUTIWhuMQfHv97te3PDu/iw7/+OhUTY0lWUy5Zejb/+9TX1RxKW4q7MU2CExU2TV1MCLQhoy0KGCjn6Cu3pfFiisCLObp9mMCLyQRxYqQUeAgiffzzsz/if5zwlv25dI6UQGd58zGf4oYtn2V76Sk85RNLyEmdr+CsXndNW5kZWjG5bFyE083AFYytFu9v/4Ntb8nV6n3RKjYCknRvjSVQllCq6eLjGa9zNTFNUEnI4sLZLMqfScbrZO3AteOOYAjtMMMs5ISeD9W2bx59jO9v/ktAEBEshpcteC/nzh9LJyhFW5qO3Ypih3RiU72uLlWiwwsJxWN71M0e05HaCWjTIccGu2nTZfI6qtkJX1msfYRnBn/CC7resD+XzpHSns/yxSsv5WOf+z5bdw3iaUUUG373defwilXTS/1xzA5uZb11aSU7kQk8YrOfiUQiE75dGsULj13E5z/4Bv72u7/kx7c93tAexYad/cOcfOwiLl51Ym37rfc9w2e+diNeGsJjjPCpD17Mq887qdZn9+DopEOxVV+XgI7GHFY6bIy2Eg+sL7VJkUKBAquFu9Zu5MF1Wzlz5dH7dx0cAPRkOzhzyTd5bOcHie0ASVGViON6PklH9kWzPTzHFDg70RrofXc5MJRS3Uqpy9K36ybpc5lS6n6l1P27d++eqaEAcGx+SS3Ot7mOESg1XlxX6MyWqS/U2O63o4BHBh9jNA4J9MSSshbLPX0PjR1FhI/e8036w1FGTYWSiajYmBs2r+GW7U/U+p3RczwZHTSOCcHTyU/VV2Q9QqMZqmToK7chKCxJBcXQ+Gwd7qC2x7iVoRt33EXFNKmA4pgWWa+Ndy67mncv/xIndr6Ogv9CtpYGeHTg11hxmdGtSFLYQO33ayrSErPj6SdxIO13/4Nth2S1elz011kkTq6WZDo2Iu132OzEkkwPGpukb0xiJyaMD+jxijU7IQIZfxnGltlRvA0rBl9NTDG2UmHb6M9q72Mb8oPNf0loi4S2RCRljETcvftbbC89XevXkzubxqX9ZEWwagdI/x+QAkMmy9aohz2mvc5OaEZthq3RPLIqRqtGO6EVPNb/T7RKheLnI/N72vnG597Hlz55KRe9/CSWHb+Ax7bu5K5H1s/20ByTMBN2wnHwtKKd6OzKT1qIY0pM4wL58cfMY7hY4faH15MRTS6YGFNQCmNuum/s/r9nYJTPXHsjlTCmWI4oliMqUczf/Nsv2Nk/XOt38tIpKo+r9KavFTaTOK+UIameSt1sw4COQUvqvGrYH/7+hjv2/xo4ahQyK1l1zG2smHctTxcv50vP/hF//ajP/bs3zfbQHJPg7ETrMGMRWGkay7UASqnvKaW+JyJvH9fn2mqfc845Z8aeliMb86vdd6f3a0vGi4njcXG/CFoJGc8QGQBFxgspW59yGKCVpeBFDFr4kwc/TmgjrAgV27zq1KgZYTAaoivo5JmhnfSHE1dDSibiexvvY/VRpwDwpqNfwvc338lAGGNTM6eVbVKsJIki21spMHFNRxFZH8tYKkk9ntZsK+9hRdtR07x6jvGICD/d9p9sGH2CKE0N2lxay1ND9/HOZX82y6NzNMPKITcgvSQOpHoGDqL/wbY30Eqr1ZMxHRuR9jssdiI0A4ThnXToAIsipyJGZaKdGHtVNQYtz0VJWeUsMQv9QQZCw+6NFybtEiOUmlgJYTRch5UQrTJsGF3TdFJkJOTRgV+wJJ+swB/f/RF2jN5ELKNUp0ONKfHUtg3YAlvjnglp44Jm2Obp8ppr+lXMIJEdJeO1T3nNHJMTxob/861b2bxzb00cec0zW/m9i87kDy9xQu6tyAzYCcdB0mp2Yv2OPnYMDyNaJZFL6fYJVkLXW4kkikmyaQebOIY27Rnk1R+/Fk8rjBEq0UTtPAHuXbcFEUEpxS/ve4ZmFQqtCLfc+wzvfk2SdfmxN7+MD/3j9xrTCJtVP1QK6wvaMqFNARiVeLCa8PSWmXUUzgUGwzLv+NU99FeKVGyMoo87dqzn02dczDtXnjnbw3M0wdmJ1uCQO7BSIeHLxumu3Axcc6jPNV02F7dhJVmbtlbha0tGx3WivImGSN6PyGUirCiGwyxK101SRDMSZ+jODDFUJ9DqKR/TZJKjED7z2D+wtDCf3+xeT8XkaRbwVkyjoYpxyJr+zXxwxZu4acftPD64iVh0Gn01nqSce3umQqLTFRCasbRIAXYOdeAp6CqUKGTGROFja+gJOhqOFlvDvz17F9957l6KcciL56/gf53yapa1z5vuJZ5TrB95lI3FJ2vOK4DIVnhy6D62FtdxdGHlLI7OcQiZr5S6v+79tXUOoe4m/fshuQdWdajqmLL/wbbX6V7VC7lPulo9m7SijQDYW74frTS9fokhk0XVHFWNaIS8qhCLx6jkklio9MG/QsDmeB693laUruZiJO6l8XMHEUVZPG7b8mF6/RyPjjxDVKteWNcPIbSJo6lkRthQ3MpR3X/FrqEvUow3EImHlwq0N+wnMGKzBGkavEmjdOvbnygeRUYblmQG6PDG7mda+fi6UVMltBVu3fFtHhr4FUZiTuxcxWsW/z4dQaOWoyPhpnueYsuugYbKXuUw4pu/eIB3vOoM5nc756DDMRmtaid+89RGLGCzoCpp9JKioTSZ6CT9LulIooReP03Qgs3AM5v2TFjYqDqq6rYwHFa47Cvfx4rw+MNbsfHEaH9rLeUwedbfMzjKjr5hrrjkFXzxhjvZWypPzHwfOyFKEuF4lCTjrlMXVyLo0XTMWRBvrK23ozDhcAMjJb74/Tu59YG1aKV49YtP4n9ecj7t+eyEvg74+jP30FcZJUz1jwUom4j/8/AvePOyU8n5wdQHcDjmKDMRgXUOcJVS6tq6SVyzyddhI+/laivbIoqy8cl4lowXYkWhlKAVxEbRF7aPTVlMksIXaJOWSFeMxhkK/tgDaVbFDMU5PC01+6DSyKctpR1sKW5PS+rmJ8yFcl7A6446jV/teIr/vb/2vrUAACAASURBVOZ7eCotgC4Wz/eTYzYxOtXUwJyfVCbM+jGV2Geokkx+RBSR8YlQVIZ8ugtFugtlfDSrek8m72V5ZngTnUEbi3Pz+NSDN3Dr9ico2+Rz3b7zGR7o28gNr/ojFuY6D9nv4Uhh3cijhHZMRFkhBCoGIn627YtcuvQT9GScLkCrUA35PQD2iMg5k7QNkFYCrGOq0jH76n+w7cD0V6tnmZazEQC+bgPl1RxNo5JNimTU3beVglg0fXbsvhiLByJklKk99xdtlowu1vpYSRZB/DS2VgEV8bBodpefZBfJ/EaYWNUpUDlO7LyAe/tu5Ofbv46nkvRBRQfd3gIyKqbXGyZTp9coAtvjbko2i59+Bg9DjMKk6YcGTUkylAwMl3KszO6kJyiiVZ4Tut6GkTJ7K5so+AvJefP4j+c+y7bSs8SSTJIeG7iLDSOP8ScnfoWMdtWoxnPnI+sphWOLR0Iyqa2I4bP/ciOf/uCrWdjbMfkBHIeVg7ATjpmhJe1EWy6LrzVhnHxbJBVGTzXOa/l3KmrUk8LUCbsnFTYQb6xPsn+6xCDpjEWBDZJz3Pv0ZkDwZYJuPACB7/Hy04/jKzfczTdufoDA9xAET2mUSasgeuN2EsGrJCevLbJYEE8QPz2DBc8mY9cxxPmkLZf1+eDqVQyMlNjaN8hR87poz2V4/99+hx39wzWNsBvuepSHn93Ktz79HnTzsntzml9uX1tzXgF0Zkoc0zZAaAL+8jc3cuWqi+jO5WdxhI56nJ1oHQ65A0tEblFKXTEuAmE1MGuVsJbkFzIv08OW0q6kCkdVkFBRS7MTgVKcmZCSJ0BoPXwsvhaMbbQARZPoUIGQ90K6chW8+kOkhmpJ+xDbhrtqVa0y2uP4joX8zqITeettX645j2qYLB25EtbqcWmEYxWmqujUieVHhsj4DemRgmKgWKAjV2ZRvpvTuk7gHb/+FFopYjEcmzuKe3aONNxABaFsI761/h7+9IWr9/NqH/m0+Z34KiCWiEBFtHlJFJ0AA+FTfH3dZbx7+RdYlHeCva2AoDCHXu6vn4kP091QcyLtV3+l1MG2t+RqdTNa0UYA9ORWoZWPESGvQiwqWZluiJqCigQ0TB9UsjAyYgNyKiKjTeLUQsipiCwxAzbPoG2rTUzyOkRXD5zIieAB3XqUQdtWsxO+CljWdgZt3gK+s/0fiCUkrnOo7bSddHujlK3P0kw/OrVnRZuhZMfsWfVUvghGkoIfw/FYtJdFsaGygIX+Orqzy/EI+MFzr0PjY4go+GewvbS75rxK9rGUzCgP772DVfMuPmS/hyOF+Z1taKWwIhgPpG4h/c4Nm3jHlf/Od/7m/SxZ4BaJWoEZshOOA6RV7cQrTzuOv7nuVqgKn8dgq/U+qmbBUldNsA5JnVh6rL8AJpPcH7xyGgklJNpU9dFQKvknzgvByNghFZANfN50wansGBzh27euIYwNYdxY0VzHIAZsZsyoVc+l6o4FJM62RPiK9PG21uZVwHjw0hOX8tSmnXz++tvJ+B5hbDhj+VH0DRUbBO6j2LJl9yD3PLmJ805Ztn8Xew4wP1vVxxTOX7yeU+dtRySxydhnePdPHufbb/gYXTm3SNQKODvROszUb+F6pdQn0tdVwM3jqmcdVm7fdQ87y31Ym9yCMzomNMlKe/VlrJpM2h1QGNFYgUA3hu4OhdnkC209sr5tdF7V0Z6JWN7dT2+uSGemxMVHH81/nP9hfrXz6SZ1BxNi44NSGJucW5pntNRGmfViwsib4GRTSoiMz85KH//+3Pco2wpFUyG0MU8N7WgqPh5ZwyN7m1e7muuc3v1yFBqF0OaFqR5moqGmlGCJ+cX2L872MB11WFH7/ZoKEVnDRA2qXuCWA+l/sO2MrVbXO7lmfbV6ClrKRgBsHPg3YlsitpqSzVKgQrsuUa97NdXKm1aWkmQwFgJlyKuQLDFKwbDNIyiKksVXdsx5VY9Au19hgT9Emy7TpkPO6X0lbz3206zZ+8sG51E9IzbHkG1jUziPsvWxAkMmj0xi3q0o9sZthNKYmhCjifAYCh9l3eC/YKRMJKNYCdlSfhIjE4t/RFJha+nZSa/JXOZtr3gRQeAlERoBoBSSvlCKgSDiq9c5EeRW4lDbCcdB01J2QkT48g/uhtAmixGeYAJBRdIgj6jM5MdQAqmHAk8pTK56f0icTFU/mPg0pPKNHYAGz5jnaT705pfw5+9+Jdfd9hClcKKOFgjKghclDqjqhKKpk616mhj8Eoyb8lAN9P3Vw+v50W8epxIbRsohYWxYs3YLpcpEOxXGhrVOL6spHzjxXPJewLKOfk7p3Y6vbSpzY8gGMS894S6+/ugDsz1MRx3OTrQGMyLiLiLrmeVVkirPDG3mc0/+F6H1yWibpt8prAVjIeuleccqSeCY/HaeOLlymQhrIbQ+RZOI/SosFi9xgjXRSKyS8SwL2op4kuMlC07AV5piXCG2k1i7alWr1EEGoLAE3iQuL0nSBydsFoWnq/nVQt6LKZlk8qJUjBE74XP7SnNCx8JJr8Vcpj3o5r3Lr+S7m/4K0mpl9RXLDIqd5bU8PvgbAI5vP4Os50KAZ4sZDPn9rlLq0rrKf6upi3hSSh0HnFXXPmX/g2lv1dXqyWglGwGwYfh2frHz21RkAQVdQQEFXSavI9qkXJtHjNosO0wXU9mJGE1OxwRi2GM72BO1U5aAnI6oiEcbGph8hpPRhkCVQBVYWjgHpTRlMzpF1askPWTIFhiqJJokORWm0VjjRHmVEFk/jRCbiK8syT0tIqMsoSRVdgMq6ZgbnWKByrAge8ykn2Uuc/wxC/j0+y7m09+4kRiL9Ri7fGn5+juf2sDPH3uabOBz/nHLyDapQuY4PLjUkNaj1ezEN25dw/X3PorxqBWCVWEabRULWtKUwtp0ovn3SQm1Kq8SCDpMnVf1t9ippyO16C08OPfUZSilGClWmneV2i54cfKCJJJqstPoaOrTC2DGmaTYNl82yQQ+xy5s5fW02eOCxSv5k1Mu4NHBL+JpoS9qo5wuLgXK0K7KPNx3B48MWApeByvaT6vJCDgOP85OtA5H9NNSfzjMnz74ZUKr8FXVeZU4ovJ+TKDHUvO0sniqwmA4XkR3rMaIRSPWstfkKRs/jbpJqhpaUQyGOdozYePeMmYgQqPZPtJBaAL+ZvA2/ump+5iXzdcqDo7H9yZOcowoJpP0KwQh/YyvTCjkggithNEww7BVZL1kmcfTgtaWjGeIbYCpE3sJtMd7jnvJVJd3TrOy40VcuOhd3LX7n5No8PoVMRFGRfH9zZ9HESBY3nbMxzil+7xZG+/cRqWFFg4tInJ5ujJ8KXAcsK7OuQRwKYkT6frp9D/YdtLV6vTneSSr1S3z8N+q9FU28d9bP4eRDG26XLMTnrJkVYxSYwLpXaqEVpZt8cQCFzb9jnkKPAl5pHwsRZvB1xYRGI5z5HWFQZMnq6KGxXWR5KFIoahYjz1xBwaP7275Ozr9/8ROEk0lKDQTFyBiUWSaVKEF6PJHGQ5zDcdUWHr8UQTFiEmiigNlKItHVhl8DJ6yiHh1jjSFpwLO7HnltK7zXOQ1LzmJ3zy7kR/c/0SjcI1KUoR2q4grr7sJndNopbjm3W/h7GVOP3F2mBk74TgyuG/tZr7wkzsx1XzvahqeEar1OhSpc8omjiya+RmqGYEWDGk6YDpJEE2SfqgTDS3JjFsRF0GlUVqiwPqK2IMP/L/rWHZUL3tHihPPl/ZtNs0QNebcqm1L/7c+tXPVt5mAmj5XdUySpiFWo7OUUjWpFk8rOgtZXnbaiqZjc8CHTzqPr6/9Lk8XQ2LGCnJF1qNPOthR3sUXHvo2y+cPkvWyfGDFX7Ewd+zsDnrO4uxEq3BEO7D+e+vdxJJYFq9uEuIpaXBeQWIjJlYnnFggtyQBsfXI1EVBBdqgSFa2S7FPwY9rTqvYKopRQFe2wpahbowksToVG9EX9tMfglY6DTEcszIZz6Qi7uMqkkhyvEIQNayclGKfzkyFRR3D7BpJhGFFFPkgZEH7MHvL1TxrVft8OT/E00J7rkyxoijFGo1mZccC/uL0N7HUVSGckhXtZ/Hr3RMX2ZSCnDKM2BAhJEZz/ZYvsLTtRDqCqXS+HTOBwKQOgIM+9hQOorTt6ibbDuh40zhfS61WP1+4d8+30yhUwWPMLqi0mux4O9GuK2RVSNlmatuTvZOOgYrYa9sQJcwPRurmDYq+uEBBh0TikamLwgrFI7Q+BS9kV9yV6F8ARiL2RlsRgUQCvuoFSY6aV5V0Jb5R1jcSnzylmmB7lQwR7V6ZKPDZEXWlR1J0eUWOzfQxZKuRoopIfCLrUSYApejxRxky7ZStRuFxTOEE3nL0H1HwnRD5VJz3wuX8YM0TTcMZlEA8GkNREbfB5d+6gbs+fjk5F4l12JlJO+F4/vOlH9+NsRO9QPXRTbVtkOhYVT079VMJpWoeJRVXda4ajylhkrpnYxC/7pypkLpVIEFqI6wQi+GpHUmKnk7PN2E8ipqjqYqOwWST/+uJs2OZivVt1k/6q2p0b82JBbpc559PI7s8rXjxyUv5i/dfTOC7qKGpWNF5Nk8Ut9LwG0qzhaxW3PHUch5pG+XiFz3GNzb8NX924jXjqlU6DgfOTrQOR/RT0tNDm4jFppOQMXePPz6pOyWp7BdjIkXg2dptJBZFnKbwVWKPrD+xZHnWt3g2IhKfwcirVa8ykuhdGLMEraTBoZacFALPYkVhrEoFGSMCzxJbj9gocn5c1YInNB5GNMYq/NSJFltNzouJjaI7X6YzVyYyPlol6YY7R9uZaM6E0AQExHhKaMuVKAgszvXwnZf+obsxToOMzuMpH0szzQGLTpejAiyCz2ODd3Pe/Dce3kE6ABfy65icXeW1gKRRUTImfE7zDBAFLPCG2WJ7ajpTmqTKX0bF+EooGp82HSX6eLU9hXn+KBohJknj00hSoRBNrDSGpShVSdR268+pIKtjjGhi0bUUx1GbY2+Yx4jHwswInrLEohkxWYZNjqWZvto8Q2MJVIynDUsyAywMBqnYDIGO8LFEVJWIxz6ppyyDcZ4Yj06vTI8/DKJYnD+NS5Z97tD9Eo5g5nUW8D1NbMeLySgw4BkFVlBGYX3hzmc3sPrk42dnsHMcZycck7F+Z3/yw3gf1jinUEOTSnSndN3t3ASCeMmzPjpxYKn6I4hAkBzXMwoxSWSWspLqZ8HC+e3sHiomDjLqRORJqhaqtGqgArCCXx6LjpJ6AXkPIBGGV4axKDASJxk5hZFEP0uqqQZ6XNJhuk180GHaZITAU7x61Yl89sOvnc7lnfO0Bceg0BOkAnxPmN8xTNuKCoVche1DnWR7hthWXs/R+ZWzNNq5jbMTrcER5cB6bmQn20r9rGxfzOJ8Dyvbj2JN/zMEXjkJfbWqJrTdDJFE2zDjNUZn+QhKGyLroarLG03Q1Zx0VOK4ojoBEgbjATwd0BkkPWJTLWeuatUQPS3kvQyWJLqqGCXKjmEYoLHp2JPjdWfLWEliBPyMxVOCESgbD19bAs8kkV6pw2siCpvGAUdW1SLSBqIRtpX6OLowf/8u/hykzZ+HpwKsNDqwjFWUJTO22CYAZfZUnCj+bCDiQn4dCSLCrvJaRuO9LM6/gILfw7zsCvrDzXTpEmUJMCh8DDa9RzbT0S3aDKiGaUdSqTadJWTHRfhWaXSKqSTSKk3jsCgG4z1YyTfIoFRtilKJRlVyngyxzVI0GXZVuhA0e8JOuvwiWS9JT7RiEz0vlURZVaPLFOAT4ylN4JVRqYbfeFF3SD57mxeyvrIQI5oev4hSws7yY8Q2xNeZCfs4GlmxqDcpHz9+3czUV/hSqBBkZ8S2PYOHfYwOZyccY1grPLJhOyOlCqcfdxQd+SzHzu/i8c27kg7pjVmHiXNqUh2pOGmvb/OiJHVQNOCPc14BKEWyjFK3kGKrPyXWYOfeEUxGJSsn409edUx5oJXCH03snqoGg5m06mHqkKpOh8RX9YdAlGB9QVlVc3oljrQmH1SpJFIsIpFK9MEY4Y4H1015nR1jHJ1fns4nGoulxEYxvyvJM9U6mV8MxTAU9TsH1izg7ETrcEQ4sEbjMh9/8N95amgLvvaIbMyrFr2Idy07n29v/BVhPPaQrYCCn9wgmgmux+JNMERKgYegVcTkay2TU/3CZ/16zS3BWCG0wbi+wrKOBTwzuKdhu0UjImgseT9Ga8Ef54irmrvYeigF1kJkpv5DU6lNDI1HxqtGh7k/zung6wyr5v0e9/Z9i1jKte0V8RFRY6lI6f/bio/OwigdAPYA/m4dRxYjUR8/2HQlQ9EOlNIYiTiz9xJO7ryQtcN3sMd01L4nXuqM6tDlhmNUNQ0HbYEJtkApQnw8GzcVUIckLXEyrCiKkksLQjTuO3HRX9Cql73hWOoiwGCcJy8+Ba/CwswAWknqgKsrMiEarZN0Sa0gspohm0ucKE3+TCxJcZA9UTtWFPOCUZRSLkp3mszvaOONZ5/MT9c8RTlKFzvSimAT4qIF1jy+hfe//OzZGOqcx9kJx/odffzhl37AcKmCVorIGD721gt4w7kv5PFtuxr6iidT6kh58UQroNLtUW6K2UQ15aIJosDk0rNUVyQm6ZvLBDASYeyYlVAkjnPrgfUFm2k+DmUTR5h46XnqtL4m7JAaxpruV3VozkZMm6Pyy1nediLPjT5Vqzhs0kcBXfcF87RggbXDT3Ny56rZGewcx9mJ1uCIcGBd9cT3eWJwE5EYKjb5w//VzkfZMLoFNW7KIAhl4ydOoHFWx1MWRTBpFUGLQqwmmCQFUSZZh5GGaCxqP3taUNbW0lAC5dGTaWPTyBAiSbRYNUoqOX7VERY3X+1RSc79SJghNH5tDUdj67RTxkZbTXFTCsLYw1rFskIPi/NOp2m6nDPvXeT9Ln654x+xYjCisKKbfof2hJuxYtCugshhJaka4pyyc50fb/ks/eEmBFt74H+o/0c8698JNOoaGDSjNotv2ujxRuulPihbf8rv06jN0eFVaLYun2xpvj2qaS82roQrJFXLSrb7KkNnsJid5V0szIEfGvZGbbXeJZOhYjyWZ3dP8pil6IvaGIgLDJh2DJpAGVZkd+PTGDlmBfrjtnShQ7O50kvRZnlZ7/F4arJyIo7xfPrSC1k6v5t//O+7sLoa8tDMwQkPrt16eAfnAJydcCSRV//jSz9g98BIw7zhCzfcQbZ9oqdHfIUEQNg4l0gE1idqS411oBaev69ig2P7pOmC1dtuw4SCCZK92cBnWW8Xz+7dhWTSKod2TNvKM6CNYLWiWVFaBehi9WepfS7J0HT1X0XVyK1kZ6WSIhaO6fPBFZ/gJ9v+i9t2/xwE9gy209s5WpOLqeeJoQd509HvmYVRzm2cnWgdnvcOrIqJuGPX40TjNEMqNmT96LYmeyROIE8JgRqL7VVALLpWOaOZA2KgnKeQCfGtnqCjFRpNxjNpJb/GneudUA0jUcLCQpFSHFCKChT8DH2VYUIxKKXSqC8hto3OJ2ObmzsRGA0DKiao6y90ZsuMRtkkBZJUXFEltQ9FwNrE4ljxePuxFzY9tqM5SilO7X4d/ZUtrOm7gZJNbmzNfkO+ClDuxjcLuJDfuc5QtJPdlfWJ86qOWMoMRNub7KEIJcBTlki8uvRwSOTUDXET86kQ+k077V6YPvRX7YHUtFIyGKI0fbxqbyK8Wkp5s2Mu8YcZtnnK0o5IwK7KLiyGjIaF2WHyXsTOShdtXoVAx8TWo2gzTSdHAuyKuhixudriiRVFWQIKKkTXVaMdTrW0RBItSEHTH7VzSs/vT3m9HY14WvPBV61i7Zpt3L5mHSPzYLLEo7acS8ucHZydmOs8vH4bI6XKhICmSmyolMoTd1Cp5lQ1D7xKspo86XlqqXipYamzEuM6Sr0ORdJ3fNnrOpImRTbjQ8Wy7rndyTF1Os44FYf3EkeTsuBFQpyd5HhpVFUtndEKUkkqqDaM1tSNP3VgCfC+17oIof0h0Bneesz7+OHmvTyxZxfF3XkuOv3xpn0LfvthHp0jwdmJVuF5/1sIbTxB9G46+MqidWI/dLpa4Clb066qRwQioxA8ylGWivEoxz6x1URWU4x9KpFPZ1Cm3a+g0ppUVVRVebEJWhkWFWI+csK5hNYQ1jniqtHB40c0UCkwHGawUmfXUsH4ssk07JHzI3wtdOfK9OSKdGTL9OaK9ORKtVWV2CTLLwJ8Z8NvWT+8C8f+cWbv2xBlyasQTxnG/759leG07gtdSPUsICTRNfv7chw5VMzoFJGPk2giAlkVJyXBa3diha6lFjZJ7BMAjz1xR52AVTJDiURTsT7HBntY5A0gCAZFBR9Bo8fZjTEUGR1xdKbIuT2vJRKFqbMTWkGHX2ZRdoA2v0LWMxT8kEHbRn/c1mDTrMCoyTBs8zXnFUC3X0QBZclQkoCK+BQlUyuHLkAlXfoXFDds+wl9lb7JLrdjEt57ybkgQmGXoCPGDHhKLvB51yvOmJ3BzXGcnXAMlypNn9Fk8kf4moOoNpmoiiYqlWhNNelv/fQpveq5qlsgkQnJElKzJeOywSeQaPh6vO60F0BosfVONAXip/pXnoCXvLc+NJie6meNq7HC4yKtBLxK8tIheOUkHboZX/3B3fQPFScfsKMp71/xSoKsoeOoEUai7ARfaEZnuWCBE8efDZydaB2e91e1I8hzVH7ehO0KTW+mC91k/dlTzScKWkHBj4itqjmHEscQDIdZINEPGankKEYBI2GGoUqOYiVDaJOS41nP0JstUfCisa9uU9XDJLoq0JbQhty2+05KJmzSr+oAS/cShbWK/mKBncPthEYTGUXFeJSixipSIpDx4tpija+FrGfwdOLy87RhuJxJI7ySMT07soXfveufuG7DPc0vuKMpm0YfQsgS4qUaNlKbm3jKZ1nbaaxe/KFZHeNcxoja75fjyKE3uxTNRAeWpwLyXjfN4pSyqnn+h1ZQ0CHdehSfGBA8DJ26yN64DYCizbI17GXI5Bk1WfbEHeyOu+g37QiKbq/ECzI76PVGCTBkiOj0is0S0MmoiEAZjFTYUfwJkVSajstXY+l/QqJruK60gGdLCxmJMxRNkKYNtk2YH+XSionJvnqswEhqJ8tmLNpMEJ4bWcMnH7uShwYeajoWR3PuePI54nkeJgdeSRLB49RQBJ7m4rNfwHsuPGt2BzmHcXZibnPGyqOIYjNhey7wEj2p8cgUaYIkkUomm6beAVZDnANJnVwqmQ0n1IlU1QI8xjnTBJo6vqvTGQVEseG2x9YTxc2lThKH2djJlCh0BXSY3o/SlxIYn09eFYJX6di1rbOc49ZtReDGu57kkk/8K4+taxbl7JiMO3Y+hY/QkyuyvdxBZD2sJNk3ngq4YP5rOb3r3Nke5pzF2YnW4HnvwAL43y98Gzkvg5+Kj2eUT0eQ569Pez/zsp3kvSQkv/oVymjTkC5YT96LiYxHbDxiq4mtTm/YdY4hFKEJKMcZojR6SQE7ix2UjY+QRD71Ziu8+eizyKgAU4uWSpwbvrJ0Z8s1+zAcD+HtIzrH2iTdL9HU0lRMwM6RDkyquRR4Y465akSWsc0/J0ApzGFF42lLxovwtUEri5EKn3/yRvorI/u48o4qfZXNjBpDJD4VyWDEx6IwAie2n8e7ln2WQOdme5hzEkFh0Pv9chw5eMrnosUfw1fZWhqvr7K0+b286Zi/JKvb8NXY36eHJa8raUGGxmOJJGWUR0yOLq/EQm+IXm8EjW343sR47DXt7Ik7GbVZFNCmK2yO5lERH4Ww2B/k5Nwezut5Fe1eTKceJalNmNiJvA5ZFIxVpYvtjgkr4lBN30i2RzaJ9DJoYnz2xB08U16MEU1GGzp0qTbPMKIoW594ipD4Sqrym9MhWR3iY8nqiKwa4pp11xDZSZbfHRN4essu4lAwWY0taDQKZRTKwAcuXsVn3/dqPO3uPbOBsxOOzkKOj775ZeQyfu0um8v4HLdoHn//+28gnwnIBqkzX0DFkjh+6tMhGlDYQBG1JS+TY6J2FKk2lWXsGKmGlgCiFKIVhUKGN11wKp5WqEiNRUrVR04Bxgr9I6V9f9g6p5cClEk+T9wGcQGi/NhnUrHUKqY2o+rYSgWCkpcFMTBajvjUP/8MmWwi4pjAsyPbWNrZx8L8KAsLRUZNluE4x4jJ8sbFH+P1R73LZXPMEs5OtA7Pew0sgNN7VvAfL/kY39t0FxtGd/Gi7uVccux59GTa+eZLruT23Y+wcXQnO8v93L7rIULrs6dUYGGhSN6PGnLP95TbMOJjjOBrQ8YzhMbH0xZjGmN7FUJntoSIIpIkDWRnsRNPJZFX7UHEXX13050TOkTRV8rTlomT9MW6e0/V2WTFNhy/ipU0jaOqjlg/AtFUYp9CJqJsPfJBCAIjYRZQjEaZCaLvImCsxggsaB9Bq7EKJUYUQxWNFvj17md5wzEunWE6tPnzGlJyEpLfV1+4czaG5KjDupz1Oc8Lui6gJ3s0D/b/iOFoJ8vaV3Fa92vJem18+Phv8vTQbQxFOyiGjzBSvgOUsK4yj2WZfgIMnpJkIQLF5nAeFckwELbRq4cpeBGDJk9ATCiJBmGt4iyGEzI7sCpxKMX4bIgW4pPclxf4RdrLX+fkjBAFHuvD+UQkOo3euEIjGovCUl95UCQpMGLQqVbV+ByUJP1vwBQYiNvwlWFhMITCsrG8AFD0R+0s0YMNhU1EqOlotem62UsardXhldkbW9aNrOOkTifWOx3mtbdNsPDVid+WXYNN9nAcTpydcLznVWdx6rJFXHfHwwyOlrnozBN4/YtPJhv43PipD/HzB5+if7jEr9es5+l1idyGFrBZSLxaVc2qNMqKNFPQJO/S9WdEBCV1yxEiSeU/P91X1wm2C5SiiB/9+vEk6guwZf5/9t47zrKiw3+KNAAAIABJREFUzP9/V9UJN3Tu6TA5ATNDzhkEJAiCgoJZ+Or+FNc1sK7Crm5wdXXVXf2uu/pFRXddjKsYWYmKJEFhQBjy4ASGyT3TuW8451TV749zbujuO7Gn6Znp+37NffXcW3XPqXtudz2nnnqezxMLqosxGYelAe2MMc2l90sNqmDwhkiqEIryuEpOLjtGqtHaxIFVfczScxlHnW3rH2bjtkFmdzTvfFx1AJidUWwsVvs6BdrGUVgDUX09MdXU7cT+wUHhwAKYk2nnL5e+ftzrnnK5oDsuSf25Z7+PJnYSCSHYONxI2onIukWMleQir+oXU8RCuKE75pe1tOUhaPAKtKfzGCsYCVqJjKBgQiIjafYKNKXylfQ9YenI5OgvpHHcSmhvWcTXKJpSeXJBGkFstWalW0mLDE8OrN/pZ0+7Idok4XTCJvv3pd14h6GiT6NfSTsRQM9IAy3pPErYURtCCouvIsLI4Mp6tbzdpTO1uLYIJxDanWxd1Zl04k3BusGpAx2pxVw46yPjXvdUhqNaLwHg/g3XkEuKdCgBfwq6aJQFUiIgtLEjqKJpIOg3DawPPQyyPO8KLJ6NQAjmu9uZ4/UT4rJFd2OsJDAFQhzmu9tpd4bLjipfaA7zt/J8sStJRR6NEjDP62FT2InGw2LpTM2nL7AM6407DFU3CNYHbTSrETq8YQSxc0pgsQgGdQo/DGlzR7BJ6qCxgk3FZlIyjrAau+FrEXgywJEHzW3EpHP0wpn87L6narbl8nU7MZXU7USdEscuns2xi2ePe721Ic3bzjoOgDt+8wySZDVgQRQTcXR3tPOq/DMRTq/GGlsWQC85pnyrsF6cVZEPotgZZCqZhqWDShlnZVC1X1HR0RJEniVlJI6UGGM5ctFM1m3uY9vAyI4/uLGk+pIURjlec0toyg64youQlMkd7Zyvzj7E4qj639bucnzbHDZtHp+eLwXk9U6+vzqTzmTaCSHE9cBqoA3AWvuNifTfB+2LgCuBdmvtDfv6/BNlWt15Hto4m/t7nqRoQtJOSKhT5COXyKiaRT2sLaXrgRTxDT2AEpaUE2KQDAUe7b7l7YsuZEX/Vu7atIKi1ixoKqDGHFMKyHoB2/NZGr0CrjQYKwiMwiBxpKU1XeA/T/prBIKOVBPWWm7444+4c8PTNT9TxiuWReXKn2HMuicX+eQjD1dqhLCkVIixAk/pcZ9bCEg5EUEEZ3YetodXePrSlV6EEh7RGGeVRLGooR7FNpVY6jnodXafFn8Z/cVnsER0OYO8FLYzZNIM2Ay1ImS1jUPEFRZHaAKrsAhcGdHmjFAUDtt1lk7XcHTzx1g5dB/bc48DmhlVzqsSEku3M8hLUTs+YewWqzptVgUc4RY4e/ZNONKjwWkhMhE3rvo0K4dW1vxMcSyopdMbGRX9W92jJ2xie9gQ62FhSaswcWaNd16BwCBRwmVRdtFuX9vpzslL5+E6apzOTspzOPXw+VM0qjpQtxN19ozFs9vZ0jsUb1wmKXRSJ6LotdYTpQSK8h64SEK3gCTCyQrwleJv3nYB/3nnI6zcsK0i3l4DUUrVU1W6WYlDy7qChXM7+NdrLqUx49OUTTGcK3L1Z77Hus39VNxsFVRUiuCi1qSPqO4jwAjA2fH4rIide3M6Wuhqa9xBrzpjOan9GH699U5COzo935c+Sxrr67KpZLLshBDi88Cj1tpbSs+FEFeWnu9p/33Qfj7QAiyejPPvC6aNS9xaSxBJAqPLlWldFSFF7RqGAoujNBkvJOsF+E5IyglxpY5/eUVsjXKRx7qhFF969j5+teEJCtokVQ1rh/A6wlDUHv3FFEOhz7Z8hr5CmpHARRvwRJo2r4GOVFM8DiH4wvFv5qbT3oVTo4qWp/S4BYmSNkkFqUoHQRAaRaAlvflMSSlrzCP57AI+fcxVZB1/9y/wNMeTKc7tfAeuqFwzicJXWU6f8YYpHFmdOnV2F2M1eduIsbGdCK2iELloU/uGJSUCOp1BDvW3stDvodvtZ7bXR7PKkTceCIlFslU388DQXH6y/jusGXmcopV4IsLU0rMSkJYhBeNRNA6BddgSNrE+aKUvzKCNoEgbzW4HDU4LAI50+OCh/8i7Fry/rPE1Gosn9Chbl5HjI34MkpzxcKQmb5wklteQlgGeCBltU+DPF38MKabNbcSE6W5r5IozjyTlVfYOXUfR3pThstMPn8KR1alTZ3fJF0MaGyuaieVIpVq3/YlQuzAWESVaUxpEBBiBVXFGSMlhNGxCPvmDu3hh486dV4ik6KEm9hIlUVPlc1pLk+czu6OZpmw81oaMz08/824+cNWZNTcyhKnht6rVL+lr/EpUmRWg3TgKrbqfBL744fHZMXV2zKLsQg5vWoYnvfJrrnCZnZ7F0S1HTeHI6kwi7x3j3LkbuHYC/SfUbq39ddLeP0nnnzAHZQTWM/3r+PILv2Ll0EZavCzvXPgqtuaG+MG631HUDr4TYW0y+StTpb1YCWGS0oyayONQYQvSYqmu7hEnoAtnmJI5C7TEWDFKT6REWqVpUg30R4PkQ698jFBb8qFLQRm+v/YBrl50Dtoa7t3yJHduXo4rHP7qiHP5yvMPYq0lp0spgZZa2ogNXpGhYoqSe04QVx0sJJUKU04wzoBZLNYKTmg9nItmHblb17pOhdM6LqfNn8XD237KcNTHooZjObPjTTS6bVM9tGlPvYxtnbGsGX6U+7d+i75gA41uJ2d2XMO64QdYM/wA2AZaVJ5tYUOsW2UclNB4ohK1mhIBzSpXqZoOeGhCLI2qgK5KPRdY5vrbEPSUd74HdLpmmqC1gFzIqkInjSqO0CrN4iM2xTbdSD6vObT/YY5tPR1tivxp8HZeGv4tvmrkLXNfxy3rb0cKQdEUkrGGaCRizEbF3FQv6wrx/FRKf5QYUlJj0TSrPG1urpxWqK1kS9hMZBWnt1/MIY2H7tPvZDpw/VvP5ciF3fzwt08wnA8477hDuOaiE8mkvF2/uc6kUrcTdcZy+6PPceOvfs/W/iEWdLVx3eVncdMvf8+za7dgVOKMInlYsGGSRlhdErYUyzpWrMpURU4BWgm0C0UbQbIXqopxtb9aHLWom5UvbiGnbUX3qqTBZeHJF9azYtVGjl48i+F8kZ8++BS/e3ot3a2NXHPxyXz/7scQCIpBHOljVOyYGkXy4cr68slPk0R5WWvjSoseJXUVhCbW0bLwV28/l7ldrXt83aczQgg+dOhfcM/We7m/5wE0hjPaT+XC7gvqG0b7AfvaTgghapUe7gXO35v+E22f6Hgnevzd5aBzYK0c3MgHlt9EIamMtKXQz1deuI2iMUQmVhUsRB6C2EFVelQqBDLOeQUVWySwOBJCLXHK/eyoihC+o9maa6A7OzROrP3tC97Iw1t7+OX6x8aMPI4tDozlZy//gXcufBWfePK/eKJ/FQUd75Q/1vcib1hwHLP8OXzpuf/Fd0O0jcWChY1THEvDUDIWmC9GcTW8WFvSkvEijI1TFcfttFiQQvLxZW/fu4tfhyVNJ7Ok6eSpHkadKuIiCXWjX6fCmuFH+cX6TxPZeCOgL1jP7Rv/BUWAEgHgxI6iqrtybRUhFjfZwGh0CuM2AYQAxxqMUDQ5eQrGwRchDaoYRzNV9W91cqwKZrDI24aTrApiQXbJ4vbPsKBwJ9uLy0cJtgsRC4gKUeChbXdxVPMJ3Lb+fQwEL6FtARAo8RDXzL2aDUWX+3t+jiM1AsuQzpA3LmkZlsedUSGHpLeyNWgksHHZq8A6bC420eYO0+mXHHQlF5qhyx2gJ5rNJbOu3uffy3RACMFrTzuc155Wj7jan6jbiTpj+cmDK/jXn9xHIYgAeGF9Dx/+2i+QEQSRBiGwDhBVZmkZxVmB1rVVlf7GGorkh4lTCK2ICzXpdKWthPYtIj/+GAL41P+5iL/4wk8YCYZGh06JZD0RGn7xu2eY393G2z7zXXqH8hTDCCkEnqv4y7eew4qVG7jjgeewoqLnBVBOVYFEdD55OWmSFrxBS5ABk0nOWfLZKUvQAAv9Jq46ry6hsTc40uHC7vO5sHufrvnrTJBJshNtxA6eanYU+bQ7/Sfavism+/i7xUHnwPrmql9THFPWu1B+XtonobyjXCKee8c7rmohhEVrSagd0m5Uo5xpXAh963AjbZkcrtQ4wuWquZdzZNNSUqKphgMrfp+2kpzO81jfizxZ5bwCKOiA32x5nHZ3A1ZAUcdi78XIpSlVQBuBqqo+ElmZeIrjRPRS2n0mqbxYC21cXs5v5wgvu+sLUWcca4cf4Q/bvsNguIWu9BJOm/EuOlJ1jZipRdRM1aozfblv67fKzqsSkQ3QQHWl84wKKCSV+OI+DpK4Cp+i9rZ4eSGDZVD7ZIWgWeVr2haN5PliN4u8bXhCk7OtzG39DJ7TySmtR3H75uXjjy/AxZDTA6weurvKeQVg0bbAcwPfZkMwn0anmOyeCwwFNhebmekPkJZhORIssA5pR5NGExnBSJACROJ0G39uhcWYIiPREC1e+64udZ0xWGu58/fP851fLadvKMeJy+Zy7RvPqFfomnLqdqJOBWMsX/nl78rOqxJBpGPR9qrXrKSsYyWInVjWJOl1O9DEAkCIePPZsZja4oTl4wtdcSg1Z1N89t0XUwg055x6CDffP17wGyEwytI7mOM7dy9n+2AudroBxloKQcR//PxBokKEzlTOrY3FzRE7rao34J1KVUIMiNi0YDzG5x0KgXUsWwaGCCON7x10S81JRxvDj363gh88+AT5Ysg5Ry7mfRedSntjZqqHNs3ZazsxQwhRfUP3jSpR85Ya/XsBhBAt1tqxzp+d9p9oe43zjWWyj79bHHSzysqhjTXT0McTh75KIXCEJLRRORpr58S3/Sk3Ih/u+PJZK2j0NW+bew3ndx9NLsrzrytv5EfrbwUrEWRG7axXRgXd6QYe2f4CeV1Do8Rq/jS0BSEqpUe0VfTms/hKI4VFlAXnayezy518TiFgW7FSzjsX5Xik9xH6gj4WNSziqOaj6iGsO+DZ/jv57ZZ/Ly+M1ww/zLrh33N8updWr5OZzdfRkrloikc5/bDUd9brjKYv2FDz9bG2wxcRWRmQM/HWuCWkPO8icHZgbayNNxBSMqrZHiMSsfcUzS3fYGHDGeSjdTy65SMUdR+BkUjRUtNOWASdfjfrhu+tcl6N/iCR2QYirnkuBPhSY61gY7GVGe4QUtikmk7l+NWC8o6ovaFjAVcKBqP+sgOrqLezefg2Aj1Ae/pUWlMn1NjYqQPwzZ8/zHduW15eGN/58PP8+qHnmfn0NhbO7+Dqj13K0afXUzNfaep2ok41I8WA4ULtyqB2TDYgAqQUKBGvKyJTmbV3uh5JUv1kCCZd6l1jvhfQnknzt1dfwMlHzOepVZv4+E23UQwiQmtqqxknIVMLulq598nVZedVNfliiMaOWhBYRxA0Gfw+0KV9bEFVGooAWWWVdjbNC8FIISg7sDZtH+Tu5SspBhFnHbOIpfM6d/Lm6c3f//Au7n7yxbKd+PHDK/jJ758ik/U4Yk4X111yJstm16/fK80E7MQ2a+2JO2jrJ6nUV8XOtGd21X+i7btiso+/Wxx0Dqx5mRlsKYx37kkESjoEpjKJe9Ln/YdeyFdfvAOsxJHBuBv6EtaW7EGsbSVqLivKvfGVxoqQL79wK/dsXoFV69hW7C1rUmVch5HQG30ua1FKc1bnEaSkhysUodVjjhwRWXfU+4SABreAkpZC5GKr/rjG6mMJAaFReLZWBUJLoGFJ0xwA1uXW8bnnP4e2msAE+NJnVnoWNyy5AV/VBd6rMVbzQM/Xx0V1aAx/KrocKZ5h7fYPMVv/HR2N75iiUU5f6uXR61TT6HTQH453Ysmksp4hjtoVAto9w3ltb+a3W74LBLiEjNg0gzpNS5UGFpAIv8fKVgXrYhEUjLcDW2FxhcbaIX676Yusb3qUILid0AwBoASkRCZJYxSjzhEZxZHNJ5MLH6KUfl59XGsLaBpHvU9iWJLaxPpiO3qc+pZFYpOFmcGiGIjSZFVxXJqkxJLTLl1+XGZ+e/5h/rjlA1gMxga8NPhftKdP49jOLyNqFB6Zzgzni9z8q+UUw4pj0wKRtWxtdsk9spq/v/pGPvGNP+Ok846YuoFOU+rl0euUyPguvusQ1dhIdqUEadEmSa0WgkzW58qzj+I7dz2GjZLXbRyJhRztJIr1ryp9IE4ntDuYLlUEvcU8H7/pV1x17rH8+N4VZceGhbJe1lhD42rB2ccsYsVLm2oeV9cS0LVxpJWVdrTjKjmXlbFOVsnVpgKI1JjPl3RuTvu0NKQB+NXDz/GZ79yNsRatLd++41Fef+YRfOwt59Y3O8awfvsAd/5x5SinozEWjaV/qMDvVr7EY2s2cPP738Thc7qmcKTTk0mwE72Mj1pqAdhBtNJO+wshJtQ+0fHug+PvFgfdqu7PFp9PSrqjXktJl8vnnMLlc07Gly5KSLpTLfzzsW/lgZ7nKeo4dSIXekRaVjl9Yq9VyXllIYlwSlIQBRR1afFQThxHCkvGDYiMpGg0K4dX0x8MUl3vsCOTw1cRJRH2OK9W4ArDSNTP3GwrsoZIVa2aiY7UtKXzNPsFZJx9D8T2sVJjMHa5aQP50CEyVaqMpc8KnNI2n+5UK9Zablx1I3mdJzCxAS+aIutz67lj8x17+rUc9OR1P6EZHwnhYNBIAqvQJs/G/s9h7c6iMursaywCY/f8Uefg5cyOa3DEaCe8I3zO6LiGxY2vQgoXgaLVW8Blc77As/2/wpd5fKkRQuKgyRmfAZ2J51kbz7dFq8hZj2GTwibm1SDoizKMsxNYlNUE1iEg5OXhO9BjymbP87fjibF2AlpUgShaQXf6OJQYLf4toeaueIvKMcfr47jsS4SmYucUGk9EKKFxhGZeupeULOIInfwtJCNOPuNAlOLsjnPxVQpjQ57Y+pdom8fYInEKY57t+YfZNHLbBL6hg5O1G3txnPG3XcKCbk6jMy6FfMg3PvnTKRjd9Gay7ERSTny1tfaWxJG0WAhx5d723wft5wPHE5dHr5XqUQdQUvLuC08aVTEUIOU6fOJt53Pq4fNxlERJwRELu/nGR6/iRw+sIMRiHYFNUvCEAVG637ZVxsImbclxhQU0o+/LbVy5EB0LrI8IzffufhxtKunrJSdS1c1+YijAk4qHn1rL+ccdSnrM59hZFoZAEDYJ4sKz8apDKzCexToW40KxGbS0lIvT2ipDYS3uMLzv8tORUjAwUuAz37mbYqgJI1NOYfzFg8/wxIu1o6GnM8++vAVXjfdmCpNUnTRQCCP+7fbfvfKDm+ZMhp2w1j7OeI2oNuDXe9N/ou27YrKPv7scdBFYx7Qu4J+OeTtfev6XbM734SuXq+aeznsOuQBHKq5begkFE5JVPkIIrv/j96reLdBGoY1FCuhIj5DTisA4NXcI4tLqCk+G5bQ9B4OxglzRpWjjyxvaEDNmp0MKy+zGIbbnUmwdaSLlBnRkcwjgri0Pc3/PYxzdOo+n+zcj473xJPUvYlAatKlEimXdoLxR0pkdob+QIh+VorRGj9vaeNxO2RFXEucFsKwaWcMXn/8xZ3cuY3tx+7jPHNqQh7c/zOtn18viVuPLxrFXmg41SJPKA9BnMhSMg7AO9P2Ypc2X4auGqRjqtKQegVWnmqXNryKyRR7Y+p/k9AC+zHLqjLdxQtsVCCE4z16PtiGezFDQQwyGW8vvFQLSKsLYCFe4dKpBtukGenRT2WlVwtpYaXHY+LTZ4UqKnrUUjYsWPgMm1rQQGMwYB5YrDId4W3gpaGerbqZFDdPhjSCwPDfwI9SgR1f6WLbkn0AKB2stnpRIm0NhiKrG0+UOILFkVMDZDS/wbGE2wzaFSlIFq+evLn8IayybwxYyskhGBWgrGdIpAuvw3OCDWOCoxtlYOz41Rds8G4Z+xqyGyyb0PR1sdLQ2EFan8liLO2KQIWAl+cO6QGte7M9x5wPPcs4ph+J77g6PV2ffMkl24r1jopzuBm4AbtnL/hNqt9b+GkAIcRJ1B9ZOedeFJ6Gk4Ft3PspIIaC9KcN1l5/FJScv4/WnHUExjDDGkvZdVr7cM/o+XyYqu9bSkvXpH4o3OGuJewBxKmEkkKFFO3H0kwqBKH6DKd3SSwij0fqLwoIsxjpVSIsMYkdHQMR/3/4orlKccPhcHnnxZTwnXuNkUi59w7nyBkV5GMkArSOIMjYeg7CgqEojjH+EDSALFq9foH0wrkUYcArx+b9/62Ns3jBAS3cjSkpiD12FYhBxxyMvcNxhc/bwmzm46W5txI5yZJLYiPipCEGnYPnL67n72T9xzpKFNR1edSaHSbITPxJCXGmtLc3jFwBfLzUmUbPHV7XvtP8+aJ/QePfB8XfJQefAAjijYylndCylqENcqUZpNjlS0SArf+gZ5TNgcmOOIHCEItBZ+vOQ9iKESAJmrcUiCLTEIvCVJh+5ZJwAHQk2DLSWqxoKAc0NOQKhsDUEf7UhTvkD2jOjU1EKJmDV8Dr+/shrcKWPIxSHNMzkzQ//A41eyEAhDRiUtChRMQpCQGu6gFs0DASpGldH4EqTpEGONaSC4ajIbRv/wG+2PMLMzA5q99YZhyM9Dm++mGcH7iCyRRplgSYVVymzFjaGLYwYH4vg5a0387tt3+eKuZ9nZrpeiWqyiaP16w6sOqM5suVCjmi+gMgGOMIbtUmhhIsSsePAEfFmx9jgVymg0XEZtk1sCppwlcZgEieWxVqBtgKFpUEV6TdZmmSewSjFxrAVQWxLJJZWd5i8lbShsGNu8q0Q5IyPxNDhDlfZCYu2Rbbkn+A1c75KUQ/iyQYyTht3rLuCuV4vLwUzUCKOsPJEVF5/ONJydGY9a4N2tkWjUw3jI0NflMVThmGTZjgWaCnTF/bz++138nx/nmMz4x1YAKLuNB5HV1sjJy6bx/Jn1xFEGlWwyDBJAhUCnZYgFbrJ43PfuJsv//e93PiptzB/1j6Xj6gzhsmwEwdaefQ6oxFCcM0FJ3H1+ScSRBrPUaMrjruVJVRj1ifSNe6ZhSCb8unPFwldi5evpN+VTErsnBJIE/uKnEKcqocEnCT7Iwnc11hSrjsqDZnkeAgQOnYelUZpjKVoIh57Zh0//NQ72bBtgPamLEEU8Z7/ewsm0tWBwXG6Y+ndSqAVO5LmirW/kjG7BWBMEsJLm/v4n1sfQ/sC01jDwZJoh9UZzVHzupnV1sSarb1ok0Th2ZKdgLA5/v3IW831P7md9myGH773LcxoqBffmmwmaz1hrb1WCHF9Ei27CFhV5fyBOOX7AiobETvtP9H2xJa8OTlvKbL3f5Loqgkff19wUN9h+srdpeD4VfNPxR+TcuhLh4tnHcf2vCIyDkOFFPnAI9SSQCvygQNW4quSjpRgsJhi00AzFomxMvkp6B/OYKyg1Z2JLyupHibRMekvZEg5o3fdSxRNwO+3r+CE1kPJqAyrhrdxcttCHGnIurGlCELFcOCPSyzcWcSi3UmjBQyWvDYUa9hiT3qc1XHWjg8+jTm7689Z1nwBSni0qhwyibYYMqnEeRVHzRlCQpPnf9f/A9bWnYSTj0DvxaPOwY8QAlf6O9XgcKTHoY1nlR1a5deFz9LmS1ldbKGAx5BOUzQukRGERhEZQYMKaHNGEqeTYGvYxMawLbYPKCwSjaQvbCCyCk/NR4nKxoO2gmHt068zNKoaYu2AtgGbcsuZmTmZEZOmJ8jT7naTVQVmOr0ILDnj0xM1oe3YLQt2qOY4XiergkVg0PRpl6BGSrQSaWY3vnFHl3Ra85n3v5azjluE6yicYuXqG4f4jiypJlMMIgaG8/zDl381haOdTkyKnTjQyqPXqYEQAt+tnYlRYmZbE8vmdaLGOGRSnsNrT1tGmAZcQdAI2otTArULoQcgKumEQmAdMWouKIfIWhARdLRkRznPEnnesgOr9oeA59du4eSl8wiLEZ5QpFJJGZLq7PZx8iLsVKhd7OgW1lqEhTDS6FxEMRhvJ3zX4eJTlu744NMUIQQ3vf+NnLh4Do6UsZMwaQuzxFppSRJOIYzYPDjEP976mykc8XRi8tYT1tovJKnfXxirW5i8dsHu9p9ou7X2cWvtDdbaxcnjhpLzal+df6IclBFYe8KfLT6X9SPbuWfLM3hSERjNKTMO5YyOJfxo7R8pTRuhVoS6tINgcWRlNxugENQK8xdYC0GkeHZgkM8c807u2nwfa0fWMxQWWd3XSjkOqsYOR6QFq4Z6ufiezzMYFVBCEZqQFl+zbbiFyMTOuVzg4UlNayZfPkRKRQzu4DNbBPnIIeVE4wWITcXhN1RsY2Z2GDCEJsSVLguyC7iw68LdurbTDSUczuu+jrM6r+XBDVeQj9ZjLQzpFGkRIrBEKALrYBGEtsCWwkq603UDPpnUI7DqTJRXz/wwOd3PhtzTKOGibcDS5lcTMSNJFY8n0shWTKrA4MsRqif2YZ2q4TASaCSRUawtFHhN98d4aeinbCuuoSdUrCl2AjsuG1I0kueHXuB7699b3nSQNHF82mVlcSbaxtHCA1GKRplnhjOcJKVDs8yxhaYaI7IMRymyarBGYZOKsbIIniss5NjM+vi5DRHCoSNzHt3ZesXVWmTTHv/8gcsYzhd54zU3ki+EWKDYJImy8XVVBfBGYp2cNRu2s71/hPaW+u76ZDIBO3EwlUevMwH+9X2X8cH/+DlrN/fiSEmoNddcdCLrByqVvRECnapKptMgiox3Eo2vsgTSYhOdrPe9/jRu/8PzrFq/DW1M7ADfgY2wxI6ku/7wAp//5q+RJKLgVoMfRwKXtbgMWFnylpW0uxgn6F4eVgjWqx2kpcKKUL03YqDFRSDQ1iCF5K2vPo6jF8/a8QWdxrQ3Zrnp/VfSMzDCaz5+E8ZalKNZdsI65s7rwVpYu6Y8cu+NAAAgAElEQVSbF1+cgzaSe19YgzG2HtE2ydTXE/sP096B5UjFp499Mx/ID7B2pIe5mXZmplt43b3/Mq6vkppGr4gUhlArIhuXKAcwZoeZ7RgjCA2c2HosZ8w4iX9+7kaW9z3FnOZBNg81kg+dUW+1FoZDj0A7LN++sWw/CjpeSLw80JY4rypv2jzUxFDRZ0bDSBLRZfFVRCFyGDsuISz9hRRt6XxcLTHpEVkxqjxoaB2uXXQdBbOd3qCXxdnFLGlcUq8YsgtcmWZW9mJWD3ybAe0kG2mxIXdtLJQ8Yv0kTG5HMQ519iX1iKo6E8GTad4473P0BxsYDLfS5s0jpZr47LPvHNc3JQLanSEEFiUMQVI11tpY0L0WglhDMTQ5FjS/kQXNb+Tbq69l2K6lyckzHKUY1Cm63MpCyFjYEjZRtB4bgqfxBUgZVw+0CB7JLUqiQEvOJsVjuQXMcvuY5fZTMB49uonAOHgyKo/MAluLsVOrVQ0zYLKEVpVTHsfakwGd4fjun5IPlxPqftrSp9Ls1yvo7YqGtM9pJy7it797gZFOSZQSlHaUooxF+4L09viK27EREXUmhb20EwdTefQ6E6C9Kcv3P/F2Vm3cxraBHEvndRJpzYWf/Ob4ziaJlir5h6rzCnfxa9jTP8TVF53I1RedyKs/8P8YHCnEQVSuxShQ1TJ7xMczwP0rVgM2TjNMUpelIzBVVRIFJLpb8YyvCha3CEGTwLhVTi3AGbYIGUeSybByNyts/D5RNW15WvDDT7+L+1esphhGnHX0QhZ01381d0VHc5Zl8zp5dt1mTr/iCbIteRwn3qladvg6Orv6eeD+o+o24hWkvp7YP5j2DqwSXelmutLNAAyHBbYVB5GiVOlWkHWLdDfG5c1LNiYfumzLZSiGDo6KCKKKQ6saR1m0UXziye/zN0e8gXM7T2XFwPPghixs66M3n2IkdGlw41TCfOQQ6IrjSSQndGTiONOqvCQBkMKglKUQuQwVPbSVeCqi0SugTZrQjM49d1VExjUUIoeBQgpPRaRcM86VknVSHNNyCFIcNvELPM1Y1Pwu1g3fRj4cHrVpVfouPSKkdOhM1a/tZGOtqO+Y1NkntHizafFmA7C58FKcom4rq44up5/5/rZyvJQFRozPlrCZbWEDvgwJ7Xg7YRHkrUfBCH6x/ou8Zuafc2TzhTzQ81/4MsT3RjAWhrRPkypigd4oS8F6gCjPMS6aBlVkSPsoYct2wgJxHJZlU9iKIy3GSkKjENaypdCEr0IskqEoRWAcFme2ULQuLhE57VAwPo1ulZIsIJHMTC2gPTUfUvMn9dofjPz5u87hoafX0p+KGBUOLePFo07BnI4WZrTWC35MNpNkJw608uh19gGLZ82gFFh0/zOr8R1FEJqyc0qGY1L9BNhES6rswBob+EpsaqwPeWn5l5/cy3WvP4sLT1nCz+5dAdpidPy+UffyYsxPBFZZjK040GJ9LRubMhmnsGEsUic6Mxa8fhsLtXsgjEUWY/2r0AcMGAnSWFTR4hkRjyXBdRRnn3II3e2NvOncYyZ4dacff/e287n+lv8g21RxXgE4jqG9fZD29kGObD+2Hn31ClBfT+w/1B1YNUgpFyUkjoyStEFDd+PQqPtLAaTdEGEhV/BJ+wFKGbQuWZ3YhKS9ECktQlge3vYsV9z/PO9e9GqysoWi7gGg0SvSV8wwFLr40lAoVxCsOl9yyCBQledASdnPd0JimxP/YRW1gzaCrFPEAIF2QYCrNL7SpJWi25/FzNR8rph7Mk/2v8jNa+/CESq5Bh5fOOa9u9QQq6agQ77+4j38cv1jhEZzdudSPrz0NXSkGvfk8h8UuKqJQ1tvYP2mf8QSCyj7InZQFqyHMYqLZ/09UtQrh7wS6LrBqbOPyaomdFn/SeCKkAX+trL2XfwqZGWRrUEjm8NW5vnbkBgMo+2EK3Q5svXpgd/y/ODveHXXuxDWwyaVCQVQtC55q8mIkGGTopadSMmQ0EpElWNLJM4rB40LDEVpsrKIJzV9UYYFqW1sDhspaI8mJ0+jKpAzPpCm3VvGvIZ5XNh1Po/03sbyvntQwsFiaXJaecf8j+7RdRsKc3xr9f9yX88TCATndh7PuxddQtZJ7/rNBxldHU28/erT+LdbH8TYWNBdBoAA7YNIK/7xQ6+d6mFOG/a1nbDWPi6E2KPy6DvrP9H2Oq88M5qysbPIJMLsOnYcjZq5E8eR1cm9vYmfV6u9W2EpVQUSRcv/3PE4t93/DH951av4+X2V+NjSe6sDcsYlTYjYiWUTgfbq5QQ60Viq6qtTcdSW0CCLFpk4rCIXpBX4QnHcktksmNXGWy46nq9++15+/8e1OEpijGXRvBl89NoL2BO2bh3k69/8Lb9/dDW+53DpJcfwjreejudNv2XrkrmdXHPFPP449DRRKNnwTBfbXmol3VhgzlGbmTuzyCcvevVUD3PaUF9P7B9MykyQ5OK/N3l6EnD3ZAh4TRaOVLxuzon8cv1yIMJXUWwMxhgBKaA5VaB3uIFC0aMpmyc0kihUIGLnlefqyoJGgMbw7TX34EqJFT6u1BgLKRXiytizPlJb0x0hklz1MZbPWtBG4joGi6AYOfhOhCsNnhNv6WS9CEcIHOkQGTiv62T+/JA3oRIHypEt83jtrFNY0b+aBifNMa2LUXvgvAL40KM381T/yxRNvKi7c+NTPLp9NT971XVkHH+PjnUw0OjNRQmHjBjCFVG5IqEvIjq9eczJHjvVQ5wWxIUJJmdnSghxPbCaJE1jV/PcrvpPpP1AmncPpLHuiEa3lYXZo1g9sgJtI1pVrmZCsABmOENsDlvZFLSwKLWVwDqE1sFam1SSHf2eyAb8Zst/YazBohI5dcOy1GYyMkBgWRvMqDkuIeLURcuoVUgyNoEQlqJ1cNH4ImK210uTU6TVzbMpmMmQcQnJAJpXdVzGhd1vLjvXLs+8h3M6r+Dl3Is0ua3My+xZSnlkNB96/MtsLmwnsvEW/W2bHuapgVV87cSP7tGGycHC/O42fM8h2h6WF7aWOErj9JMWsnhex1QPcVowiXbiQCuPvt9wMNiJZXM6mdXWxNqtvUTG7lBk3QoQidNKCLAR5SgsK0sl6CyqWHnP0EiRz3//HkJTUfku26Bd/CpbKUY7r6jKYCyVUZc2rqhuBVbG4xNAJusRhhrHUVhr+dBbzuaN51Uiqz57/eWs29jLqpd6mN3VwmGLunb7egEMDxd43wf/m4HBPMZYcrmA/7nlUVa+uIXP/dNVe3Ssg4XZjbN5fFuGh753OMURDx0pEIb1z3Tz/ncupbt5+gUKTAWTuZ6os2dMliv7b6y1N5SeCCFWCSF2ubjbn7hu6SUMRwV+s/lpMk4SUltjeSKTmF+LYGAkjedqHEfjKI3nVn7Nq+/xQ6vR2qCkQluJwuCVKxqCpzRFPV5rxFiRpDSORcQOLAwgCLUi5Yb4MraU1grykeLaxVdxTNssulLtNLnjBWFbvAbO7jx6D69UzLP9G3h6YH3ZeQWxs244KnDbhie5cv7Je3XcA5l2/1Ca3TaE7qlEQiQ/I72akXA9WXfO1A1w2iAmZcckKSv7aGmhIIT4/JiFwx71n2g7B9a8eyCNdYe8ad5H+NG6L7F65CmUiNP5atkJlZRqCq3Dynw3LU4eX4Y4Qo9zXpWIbBKKg0QDc9w+srJYjgRuUTn6dJbRdsJirRjjvKpuraQ7FrRLyg1pTFZEAkuHt50ruz9D2umiw59JSmXGHaPFm0GLV9t5tise3v4M24OBsvMq/pyazYVelve+wMnty/bquAcyZy5biK8VWofjsn0efWItw7kiDZnptwH0yjM5duJAK4++n3HA2wkhBF97/xv4yLduZeWGHgwGXfNG3iYzsyD5F0dTUao6J5BBaRuiQjGIKtFa1efdyZjsbvQp95VUKiQm783pkBuvv4q057Jwdhspb3wRq3mz2pg3a+80rm67cwW5fICpuk5BEPHEinWsWdvDwgXTz6l/dMvZ/Ptj91AY9jClgmJWYiL4zo9f5h1nGJScfhtArzyTYyfq7Dn7/FtIdkwWjXn568ANNbrvt3jK4VPHvIlfnXsDXz7h/TTUiCAyFvLapSlbSES6BUHokCskJTmwIGytwh04QiFRhFoixvTJuEGy4x5P3tbGj2I4XpCdpKC5rKplO7ZgiAX6ix63rn+KQxvn1XReTZSVQ5tqGsO8Dnm6/+V9fr4DhQXZo2t+/whJT/53r/h4piNx1RCxx4/d4L1jFiJ3A9dOoP9etx9I8+6BNNZdkVJZrl74d/zVkq9x6dzP4crxN/IWsEIy2+9FYLBI+qIsW4KmUfN8LRzhIXGQGLqcwVFp7If4W3AwiGSVE9sJQd44444pMCgM5RVR0iNOXaz0KxjJmuEHmJtZXNN5NVFWD28gr4vjXi/qkNXDG/b5+Q4EHCVZ1jGjpv10HcWTL07P6/JKM4l24oArj74/cDDZic7mBr77kbfy80/8H77w7kvx3dqxA9YBrWxZeD2OwLLxtG3tKEdSNZ6jcB1ZWnKM71NlZmzVa7uU/RZiVKfSf60S/PFPG1i2sKum82qiPPvcRorFaNzrUkpWr+nZ5+c7EEirBnIvHVZxXlURhJo1G3unYFTTj8m0E3X2jMlwI7YB5ydh0SX6GW+IDghavCyHt8zh+qXX4ksPV7hxNSkLI4FHUTs4ytCYzQOx1lXaD0h7QXwAOzoXvYQjFa+ZeSojQar8mrWQDxz6c2mkNaRUiDaCyAgKoVP1RxBbI88NyaQC0qkQxzGlZQyu1LhCx6mFFvryaQLtEJjxBmFfMSfThqhhWn3psLCxc9LOu7+TUjMQNQIdtQ3pK25jzeCvuGPdW/nlmkt4ZMunyIWbp2CUdfaUZBd7LL3A+XvTf6LtHFjz7oE01t2i0W1jXvZYjmr/FFL4CFxMYid6oiYCXBpUkZl+P2BxhKbbG6DdGRlVkKMWRzSfiSt1uZKptbGAe0/UxEJ/K7NUH9oIQivJGxdbNusWiaHDGWCet53ZXi/d7gCeiIXYUzIgKwvEUVux2LxBoG0waddpVnoGaTl+M8hXLjPTexfVdTDQ0dpQewOoGLJ5+yDfv+sxrvz4f3HpR2/iSz+4l4Hh/Cs+xjp1XmEOOjsxq62J8445hGtfeyq+q1BSlH1LVohYl0QlKYPJzrUwoBJZkZ2tg09aMm/Uc0scPWVU/LP0XjHmMfY9lTeXxkDF2SXAuGCsJYgmbz2xYP4MPG+8o8Zay8yZY2sUTB9aMrXTBAtRxOb8AN+85SHe8OGbeMOHb+KbtzxEobgDPZo6dQ4C9rkDy1q72lrbaq1dXfXyBRzgIpJHNS/hphM/S5OaR38xxdaRRvqLGUg0qRxp6WyOeM8RRzEjKxHCIaUqi45qlJA0uRn+NNAfh+OGLtrA+r5mXu5roWeogS1DjWzsayGMPELtlLWvXCc+pu+GOMogRBJpVbWNLoQhr13ykctw4JGPPFLS4bWz9y49cHc4oW0h3ekWnCoNEwG40uF1c2qtvacHcxovRdQQajfWsLz3xyzf+lkGgj+R1z2sHbqNO19+B4Vo+xSM9OBGI/f4sQvaiB1I1eysytOu+k+o/UCadw+kse4psxtfy7lz7mTQzmVr1MyqoIvtOr7pFAIaVZHDs/D67iPp9DRWKFpUHpeIsU4siUNXaiFbC88C0BdlCYxkeW4hT+fnsLrYwYuFbjbpDiLrEtk4QjdemMTH6nQHSMuA0trIkZZWZwSfkLleL60qR5PM44iICIUrUhzWdO6kXZ+zOo7BVy6yaukkkWRVitNnHDlp593fecO5R+OPESe2gDaWz3/3Hr56y4O8tLmPLb1D3HLPE1z9qe/XFyeTwCTYiTp7ycFsJ9514Un89O+vwXFV7FxSUM76FgLrCI6Y08k5Ry3CVRIlBE4x1qEau6LwXcU5xx3CU6s2VtL8bFwt0LhxVJdxBU5G1axOaKse5fVE0mAtWEfEx/LAeLEh8V2HVx2zeDIuDQCXXXIsjhp93+w4krlz2li2ZOaknXd/583nHzsu4s1iCTOaj/zbz7n51kfY1DPIpp5BvnPrI/zFP/1oVBpmnX1D3U7sH0z6VU3CgM+nRtivEOK9QojlQojlPT37f1ho1slQiHyGgxShGT25CgEfXnoRNxzxeu694JM8eMFneev8V9HgShpcWb7QjpAc0TyP/3fS+1g1shWw5COPnlwDyjW4Tkm3SmKsIFdQ46qJuI5GJc4rsEhhUEIjhcFicSSU605ZSUZ5HNLYxVWTqEMlhOCmU/+MMzuX4AiJEpIjmufwn6e9h1Zv36csHihk3bkcM+MfsVairUAn4aSbgmYa5AiGSrSDRROZHC/0/2AKR3zwYdnzcN8k2nFGaX5KHu+tOmytbcBeKM95Y9lV/4m2j2Jn8+7+xq7GeqDZCd+ZwfYoQ69uILRjoi8FXD73w1w8+wY+uPR/ef+SO1nSdC5trqFNGWSiUiVxWNxwPG+e/0kGws14IqRoXbbrJrrcQbKqgEWiUURWoKQZexp8EeAnxSOMhYJxGNEegXFodUfIqtixFatiSVyRYm72eBY3nD5p1yalPP79+Os4uiUuEqKE5NjWQ/jy8R/GldOvulSJ45bM4f+7/DSgtJi0sZByoosTRBXNsFAbegdz3P7wc1My1oOVCdiJOq8AB5udmNXeTGB1Wah9FAK+8Bev40sfvJzff/067v/qBzjpsDlkhYOn4tWEEHHq4IUnL+FDV54VzxGJJ0pYUMVYu6o0yUfGgiPGnaf0KMv8JtUG47TFUr+KZyvlObz+jCM4fEH3pFwXgPb2Br78xbdx2KHdKCVwHMnppx3KFz/3lj0qGnKwcdEpS7nkzKVYaTHKxj89S6E7QgxawrBiJ4JQs2bDdh556qUpHPHBR91O7D+8EneMNwGvrpVjn+TmfwPgxBNPPCDcxKfPOIxVQ1sI7ehSIv6YSCMhBNceeilXzD2TFf2raXazzMt0kXY8mtxYW6Q71URfMJjYBYEUkPKjuEpU4AGxpkmpIEiFSm3dUuVCkVS4Q1RalVAc07qUy+aczDldS3FkbWHffUWrl+VLJ7ydQEdoDGnlTer5DhTmNF7CD1/+CovcjTSrHJI4zbTPjBVgBkPI1vxjUzPQgxizd776bdbaE3fQ1k9SCbCKnSmW7qr/RNvHssN5dz9kp2M9EO3EvOwxvDB4P5bRjqWsamFhVfVRKRSvnvV3DATr2Vp4jozqoNGdg6fSpFTs+G9xs/h2e1n/yhOame4ACkufbkhcHGXlw/KxHWHiajkWhk0pVV0QYQmMg7aDKKERwqE7exFnN13KvOwJiEmuBDgz3c6/HPsXFHWAQOCpfa+hciBy2VlH8LWfPogZjpBRvIg0niDKMvYGgEIQ8vjK9VxxzuRFVU9H9tJO1HllOOjsxLK5XTz90njZiCWzO5jZ3lR+nvJcbvzYVax8uYdVG7Yxp6OZjpYGmhvSpH2XKNJYO0bg3YIsgvFsHEVlLUh2UN6DUnm1yjESR1hcAVGgpOCy0w/nstOP4NhDZu+bC7ATDlncxde/cg35QoCjFK47ueuXAwEhBJdefCQ/yD1J5n6NMwgygswWSZQe379QDHlu9WZOPWbBKz7Wg5m6ndg/mFQHVlLy/esHyCJqt3jLgjP55YbHGAhyZSdWSrm879ALyNQQeu9MtXB+d+0UulYvPU7gWwjwPU0xiBckrlRkHZ+8LpY3Q7SROEqXK1uNrXBnrENKwTsWnM/VC2tK8kwqnpq+O+k7YoE3RLsarogw2x3UUkbQUK9MuE+JteD2+Q5IL+Ojolri89laqYQ77S+EmFB79YsH0rx7II11Tziz4xrWDD9KaAoYNCBwhMf53R+o6SBq9ubQ7NX+u5/hCEbGyI1IAR3uULkKoUTiCo/QxvpW1goGohTtzjA5U7JLlRp3FtgatTHfH+Ko9r9mftPl++aD7wF+fYNjFA0ZHzmskcWqil/GxuI1Y6Yv15HM6Zy+WjCTwSTZiTr7gIPVTtzwxnN4z1duIQg1xlqkEHiu4uNXnVez/2FzOzhs7vgKfI6j8B2XMBxdIEMAMgSd3JJ7rkJqQ6hNnCIoYo0sGQFjBOJL/3eExEu5fO69r+X0IxdM9CPvMelU3U5U051povG3Gre36vvSsbNxrJ1IeS6d7bV1s+rsHXU7sf8waZ6GpITv49baXyfPzy/9/0CmxcvwvTM+yPfWPMhDPStp9xt424IzOa3jsD0+1pbiwA7blLRoI2h0fc5uX8T/bliBKbmwhCCIwPP1OAcYxFFb3z3tBjpT9Rvc/YUOZ+son70jDB4RAaMrSyrhs6Tl7a/4+A529nUIr7X2cSHEWEdVGzvQ59hV/4m2lziQ5t0Daax7Sos3i6sX3cij237E+vzTNLszOaX9TczKHL7HxwpN7epCAovCEFlFd3o+aeWzevh5ALaFWQyKvjCDo2rc2SIYMY28Zv4vcOS+rzZYZ8+JIo0ojtFBi5IoiDFfoaMUl5991Cs7wGlAPdVj/+NgthNHL5jJ9//qbXzr7kd4fkMPS2Z18O4LTuLQWXtW0MIYy3B+fHVXYJRo1jlHL+LZZzexuXcozhZME2dt6NrVDQHaGjL8/PPvxttB5cQ6ryyF3iJu3+jvSxYtxJLMZQRxFdvzTt7ztWmdnVO3E/sHkzIjCSHOJ1lcVVUQOSjEFwFavQY+sOQ1fGDJayZ0nIUNHawZ7klSQEZjbLxA+dvjzudfVtxHqGP3h1QGAYSRwvq1jY4Ukjav7nXfX9CmiKhxh9CmRujTGQIyGCzGSqRzIhEH9oLSWsuK/tXcs/WPSCQXdJ/A4c3zp248CIydlJDfHwkhrrTW3pI8v4C4zDcAydx3fFX7TvtPtP1AmncPpLHuLc1uF+fP/OCEj5N1ZxMUnx/3ukUQJb/Xl816Hzev/ThOklJeCnHfELQyL9VXc6PDlem682o/Ys2G8cU7BOANGsJGifQV2likFJx45Dx0rfLGBxDWGvry97EtdxeObKSr4Uqy3tQttibRTtTZS6aDnVg8s53PXn3xhI4hpaCtKUPvYG58Y0lWRMD7LjmNtz/0Hcq1pZICUMa1yB0kBbQ2puvOq/2Ix55aV0syDW9Qo5sdcCXaGkSj5IQrFpAjIM2Bm6YfRprf/vFPPPTMWjqas1x+1lHMntE8ZeOp24n9h33+LSRCi3cTL6z6gFXJ44AtfTtZvHvROfhjhGuthSiSOMpwaFuGy+YdzYxUZlS7TerZFkOHsfewrlCc03XEpOtd1dl9DJpgrJgzIIWlUQWsKs7iT4UZrCzO4Nnhtdy06qNsyL84BSPdN/z7yp/x109+k1s3PMwvNjzER/54I99cdduUjkkj9vixK6y11wKLhBBXJikOq6qcSwBXAtfubv+JtB9I8+6BNNb9gWParkWJ1KjXtBVsD7MYK+lOH8m87GGkVEO5PSXjVEKQ5LTH2EJEjvA4tvWiyR98nd3G993ad2QWMpGElCRyLIE0PPDMGt76T99lw7YdR3Hvz1ireXbrtTzX82G2DP+YDYP/zROb3sCmwR9O6bgmw07U2TvqdmLPeM/rTyNVo5KpUfG0cvHJS5nb0YJMdCwEJELtFlTtCocpz+FNrz6WOvsPre21i2IJDQ2+Q//5ET3nFdl0Vp6f9j7NpXd8i/5i/hUe5b6hEES8+/P/w6duvptbH3qWm+96jDd98mYefGrNlI6rbif2D/a5A8ta22+tFTUeV+3rcx3oLG2exf898Z3Mz85AEIu1R1oQGYmQsDlf4KvP38t7l55OOhG6taZS+zYfuGgTVyn0pUtaeSxu7Ob6ZVdM4aeqMxZXZtBqGabsfEzKHFvYorsp2riEfRxzZwhtkTs2fWtKx7y3vDD4MrdveoSCCcrVtIom5Mcv38fLuampDGRh0qqGWGu/YK29Jfn5jRptF+xu/4m0H0jz7oE01v2BWdnTObXzb8moTiCuZNoTNtATNSEEbCu8yOO9v+W09tfhiljvqsnNJxUNLb1hlsg6GCtwhY8jPOZnj+KsjrdO7QerM4oFs9pItabLkvxQiZwI0oJiqMvVwLSxjBQCvnbrw1M44r1ne+439Bf+gLGliBGNsQVW932aUE+NU24y7USdPaduJ/aMN557NB+86ixaGlKUCgpaRSyYGMG9j/6Jx17cwGvPOBw/EUR3SlmHFrQPIqmImPZdPFdx4SlLuezMI6fmA9WpyYlHzsc0OePsBBI2HVYg54aUarYERtNfzHPzyuVTM9gJ8pP7VrBq43byxRCASBsKQcTffet2Im128e7JoW4n9h/qcaFjsNby/OBGXs5t55CGLhY1dk3q+U5uX8xPz/5LvvTMXdy86vdEpvJHWdAh31z5IPe95q94/7Iz+OpzD+IIRWAiFja1cmjzDBY1zuCUjjn0R8PMzbSzrGnOtC4z+/+zd95xcpXV/38/t0zZXlM2vTdCCEmABEgoIaE3qSo2EBVRxAJ89auo8FMBv+hXlC9FVIr0qhRT6EmAFCCE9EbaZnu2Tb3l+f0xs3VmE7KZ2dlNnvfrdSFz73Pnntmdvec+5znnc3orMwb8jjd3X02WaMCUUWy8REQ/toaTtA4ByvtoBtZ7NWuJunbCfinh/Zp1DBk6JwNWqZRfRWqRUtIYWUXEqSLPczS+NDdeGJZ7BkNz5vLkjrvY2PhBh7JzS0Z5de/fuWXCQzRYNazatxCvZmL6QuQaY8g1hzIkawijc4YQdvbR3zeCUl/mSnoVydE1jdtvPI+f/P4F3ICN60g0r05R/1yqnRBYHWt8XClZuWl3hqw9NKoDr7YLXrUhMGkIv0dJ9qHJM3QP5ScUqcV2XFZt3EVjMMLUMYMoyU+ePZMKhBBcNncql55+DF/+zROs31HRoXtpOGpz55Nv8vjPvkRTMMI7H23FNHQiUZvxYwYysH8ek4cPYNUAEqgAACAASURBVGhRAU2BCEeNGsig0syVaimSk+338JPr53PXfYuQTRa4Et1vMGBMEftG14HT0U9EXId3Krbx/cknZ8ji7rNgxQYiVuJ8wnFdNu6qYtLwARmwSvmJ3oIKYLWjyQrxvRV/Z1tzJQKBIyUzikdyx9Qvpb2z3vKaHUTdxIiyqelsbKzkOxNP4qoxM9jWVEupL4eBWXlJ3kXRWynyjuPsYS+xpfElGqPbKPFNZkTuOazdeDWOG04Y79f7poaZV/egCw27U5dFTQi8eubq8F2VwqtIERG7gtUVVxF1qollTdr0yz6fscW3Je0wmCqEEOwMbkqqmWi7Fk32Ps4uu5ZT+l1JXXQvBZ5+5BiqkUdf4vijhvHkXV/nhTc/oaKmkeOOGsasKcM552d/Szq+JL9vapjpWlw9Osl3WetULtuTKD+hSBVby2v4zt3PEY7aSCS27fL1s2Zw7Xkz03pdIQSb91STTPhwe0UdhqHxm+vOpaY+QFVdE0P6F5Cbnbm/OcXBc+7so5gwYgD/emsN9U0h5kwbzaAxBVy0+B8JYwVQltU3A5HeLrTXXLfrYz2B8hO9AxXAasfv1r7Epsa9WO0m3ytqt/LXLW9w3bh5ab12mb+ANfv2JDzOWa5DqS8WzMgxvRxdVJZWOxTpw28UM7noGx32TS88i+V1r2LLtg4ypvAyq6Tn29qnglP7HcM/ti9INi/h5NLMdM1SbW8VqWRt1fcJ2buBNj9RFXiZPO9UBuZektZr55qFNNqJXQldXPxxDawsI5cso28GwBVQVprPdy/ruFo+e/JI3lmzjajd9p3zeQy+Nn9GT5uXEgbkXEp14GVc2VmbRVDgT+8EvyuUn1CkCteVfO9/X6C2k6j6wwtWMmVUGcdPTG8GbH62L+HaANk+D1o8sFVSkE1JQfoywhTpZdSQEm686tQO+8bkl7J+XyW2bEuG8OkG3xjXN/3EpadMYf2OKkJRq3WfAIrzsxhVVpwRm5Sf6D2oPLg4tuvwZsXaDsErgIhr8+LuFWm//ldHz0zIUDGExsSCgQzPycwfqiL9nD7gy0zOn40hTLyaH0N4mF40nxOKz8+0ad1igL+IH467BI9m4Ne9ZOlevJrJBf3mcsd7y/jV0jf4tKayx+1ypXbQm0LRmYhdQXN0He2DVwCuDLGn8dG0X39Ovy+06ly1YAiTo/JPwKf3zWwcxYH55VfnMWvScDyGTrbPxO8x+Pa5Mzl96phMm9Yt8nzHMiT/OgQeNJGFLrLRRQ6W52Z+v+F5HtzyMruCVT1ul/ITilSw9rMKmoKRhP3hqM2zb3+S9utfNW9agqC7z2Nw5elTlcTIYcxDcy7jmJJBeHWDbMNDrunl/804m2NKBmXatG5xxvSxnH3CeDymjt9rkuXzUJDr56LjJ3L7ff/hr88to6q2qcftUn6id6AysOI40sWRyUXhwo6VdH8qmVI0mNumns9tq1/Bdl1s6XBs8VDuntFRr7I8WMe/96ygJtrECcVjmdNPdRzsy+jC4ILB13PGgK/SYFVT6OmPT+/bq2LzB85gZskkPqhdj4bgmU8+455lawnaFhqCJ9Z/wo9nnMQ1U6b3iD2xtrfqoU1x6DgyhBB6QvfX2LEkLcxTzKT8E9g3oIrXK58kpsVgMz5vBhcOvq7DuPrIVrY1vYLtBhicfQoDs45Pa3mjIr1k+Tzc/Z3zqW0MUNsYZEi/AvyevtsaHWBowXfon3Mx9eFlgJffbdrI5uaPCTlRdKHxwp53uXn8lczp3zNd0JSfUKSKYDjamunUmeZQYmAr1Xz59GnUNQZ56s2PMXQN23E5f9YkvnXuCR3GfbJ9L68tX48E5k8bxzGjylSAqw9T4svm6blXUR5opCEaZlReMR69784PhRD89MtzuWredD7avAe/x+DBJ5bwyAvLCUUsTEPnny+v5A83X8wx49OrQ9qC8hO9BxXAiuPVTcbllbG+cU+H/RqCWaVje8SGcwZPZl7ZRHYG6sgzfa2lgy0srd7Az1b/E0fGAlyvV3zCEzve5S/Tr82ovpDi0Dncyn7yzCzOGDCNt3dt552d7xK0Y0FgF0nYtrlr+bucP2YC/bJ6JlinatYVqcBvDMMQ2UQ7lT4JPJRmze8RG04qPZ/ji89kX7SSHKMg4b6xueF5Pqz5I660kTh81rSAAVnHcfKA36kgVh+nOC+b4ry+vcDRHq/Rn/45F/HynvfY2FRJxI0CbQuKd218ipklk/D00PON8hOKVHD0qLIODZla8HkMzpie/vmEpgl+8IXZfPOcE6ioa6R/YS45/o6Zu/e8uITH3/qIqOUgkfzrvbVceOJkbrr0lLTbp0gvZdl5lGUfPjrJQ/oVMKRfAfc+8Q4VNU1Y8VJ6y3awbIdf/uVVXvjTN3ss+Kr8RO9APc2242eTLyJL9+KJZzR5NZM8088N48/qMRtMTWdUbmlC8Mp2HX655kkirtUqkB1yomxpquCl3ct7zD6F4mB4bdum1uBVewxNY8nuz3rEBtX2VpEqhNAYV3oXmvAhiE2qNeHHa/RnSP43e8wOU/PQzzckIXgVcRpYVfMHHBlBxsscbRmiIricPcElPWafQnEwvFH1YWvwqj0CwfrGHT1ig/ITilTh95rc/MXT8HkMNC32HfF7TEaVlXDuzIk9Zke2z8OospKE4NX2ijr++eZHhKM2rpRICaGozQtL1rBxV8+X7ioUn4fXP9jUGrxqT31TiL3VjT1ig/ITvQeVgdWOcXllPDv7Rp7b+QFbmys5Kn8IFw6ZQb4n89oiGxv3IJPUrURci4UVH3PZsBMzYJVCsX+yDBMNgdtJ1V0g8KW5s2d7VA26IlUU+U9ketm/KW96grC9mwLfTAbkXISuZd5PVIZWomHg0jEYYMsQO5teZ3D27AxZplB0jU/3JN0vkT2aXa78hCJVnD9rEuOH9OO5dz5hX1OIU44ZxRnTx2IamS/pevfT7bhJMsSitsM7a7Yxbki/DFilUOyfrjoPSinxmD33d6X8RO9ABbA6UerL49tjz8i0GQl4dCMhCNBCVw9/CkWm+cK4o3h83SeEHbvDfonklKEjMmSVQnFo+M1hjCq6JdNmJKAJDyRNbxcYmmqVruidnFc2i9X7thLulIWVrfsYmzskQ1YpFIfG2CGl/NeXTs+0GQl4TR1N08DpGMTSNdFlkEChyDQXz53CX558h3CkbT6haYIxw0opKczJoGWpQQhxE7ANKAKQUj5wKOPTeVwI8Qxwf/x4h9bYUsp6IcQlwBnAM/HdlwJ3SCm37e8zHQwqjNhHKDTy0WRihNmne7ho8PEZsEihODCTSvpx0/En49V1sk2THNNDtmny4JkXkWX2UOC1G+m+KuVX0RcxtDFYMrFkVxdeRuadmwGLFIoDc0LxRM4dNDPevdZDlu4lz8jiN1OuQesp3TblJxRHCGMGlWI7iaVYmiY4Y1rPaP4qFAfLRWdM4cSpI/F6jNauhP2Kcrnte+f1nBFp8hNCiDuAbVLKZ+OBolHxIFC3xqf7OHAssAjYCuxrt82NHy+K/3sRcAdwfyqDV6AysPoEO5vqOf9fjxAVPnIKwwghEYBH1zlr4FRO6z850yYqFF3yjaOncd7o8SzZvQOfYTBnyPCeC14Rr1lXoouKw5zNTTv47zV/osAYzayCDcQKdSUeTeeowq9T4lN+QtE7EULwndEXcNGgk1ldv5VcM4sZReMwtZ57RFV+QnEk8O6abdz84CtIV8a+9CKWs2saOv/9xbkMLDp8xL8Vhxe6pnH7989j++5a1m3dS2lRDtMmDUXXei4XJ41+4lop5c3tXi8Cbgae7eb4dB+/X0p5Z3uDhBA3SSlb7ZVSjurC9pSgAlh9gNs+eIPGaAQXQbCiAK/PQtMkI7MGctPEizJtnkJxQEqzsrlobM+Jl3ZGrZQrDnf+vPlxwm6Eimg2L1Udw0BvA6bmMjhrFlcUfS3T5ikUB2SAv4gB/qKMXV/5CcXhjOO6/PLhhYSj7SQdJOi64LKTj+bc4zP3jKZQfF5GDC5mxODijF0/1X5CCHFskt11tGUzHdT4dB+P0yGwFg9e3UkPogJYfYAle3e0078SRMKx7JX1oX1EHBtvD4phKxR9jZauIQrF4UrYibAzuLf1tYPO7kgsEFAR3ZkpsxSKPoPyE4rDnR2V+whbbcGrlm+740iWrPmMH12aGbsUir7CIfiJEiHEynavH2inKVVEJx0poH4/73Wg8ek+TvtyQCHEXGBxZyOFENfG3+dzaXodLEoDqxNN4Qh1wVCmzeiAv4sAlSsl//PJ20Q6CWQrFIqOKG0TRSppsgI028FMm9GKLnQ0kfw768oAK2ufRMrErlMKhaIN5ScUqUJKSV1jkOZQJNOmtJLt8+Ak6T4IUF7TwEvvfpq027lCoWijm36iRko5vd3WPphTkOQydQBCiGTHDjQ+3cc78y0p5Yed9q0EFrfT0Jq2P02v7qBSd+JUNjbzkxdf48Nd5SBgRHERd5w/n4kDM99O9spxU/jr2pWdAlUSNMmjm1fxWVMdD8xWSycKRTIkaqKhSA27ghX8YePD7AiWAzA6Zxg/HPcV+vtKMmqXqRmcUDyF92tXY8s2cV4NlzJvHR/UPErArmNO/+syaKVC0XtRfkKRKj7ZXM6vH/wPFTVNSCk57qhh3HrtmRTk+jNqV//CXMYOLmX9jkoct12gSkrsqMNdj79BKBLlirnJKogUCkWa/EQ98Sylduyvlv5A49N9vJV4UGpF5/1JAlqLgP+ia02vg0ZlYBGrC//iw0+xcuceLNfFclw2VdVw1aPP9IpsrBuOOZGTy4ajI8AitiERpkvEsXm3YjufNXXO9juykW4AJ/I2TnQ5UiZ2W1EcWbiIg94UivYE7RC3fHI32wK7sKWDLR02NW3n5k/uxnIznwV73egrGZUzFJ1Yd3THhSKzmWFZtdgywpr6l4k4zZk2s1fR2Bjigw+2sn7dHpV5oFB+QnHI7K1p5Pt3Pseuinos28F2XJZ/uoPrf/dsr7jH/P7a8xhcWoAmQYu6CMsFF5AQjto88NJ7XWZpHanUVtSzfOEnbPt0V6ZNUfQC0uAn6kjMeioAkFImKyU80Ph0H2/Pt4DOwaqWssL21BPrXJgyVAYWsGz7TvYFQzidnIvluLywei1Xz5yeIctieHSdr42exjtrdiBbHIvQoSgK3liXqS0NNQzPzZz4aW/CDr6A1fgzQAckCD/eor+jmUdl2jRFJpBK20Rx6Cyp+RDLtWnvJVwkYSfC8ro1nFgyNWO2AWQbfk7vdyof1FQQm5GA5RQyIquWXDOCLgwarQpK9dEZtbO38MTj7/HIw0swTQ3XlRQWZnPHXVdQVlaYadMUmUD5CUUKeP711Vh2x0VT23HZXVXPum0VTBo1MEOWxehXmMPFx0zgvseXtPoyqUmsLEAThKI2zcEI+TmZzRbrDUgpufemx/nPo+9ieg0c22Xo2IHc/uwPyC/OzbR5ikyQBj8hpfxQCNE5MFREEl2pzzM+3cc7MZdYd8JWhBAjgUVCiMJ2Aa8CYFvnkw8FlYEF7KlvTAheAURsmx11+9NRSz+ulDy79lO+8dzzOI5ESBHbXAG1HnDBch1G5KngFYBrbcZq+CnIEMhmkAFwa4jUXoWU0Uybp8gALaKLSttEcShUhGuIuIn3kKhrUx3ObAas7To8uWMh/2/dUzhS4EgdR+oEHA9vVY9BSnCkTa7ZP6N29hZWrdrOY48uJRq1CQSihEIWe/c28NNbnu4VWRKKnkf5CUUq2LG3DttJzGASQlBR25QBi9oIRyx+//fFPPDk0phNLZsLZlzS0Wvq5GR5M2Zjb2LBY0tY+PhSrIhNsDFMJBhl29rd3PHNBzNtmiJDpNFPPN1JI+oM4P6WF0KIkZ2O73d8Dxxvr4eVTOD9W52ytS4H7iCFHNYZWLbj0hSJkOfzomtdx+q60rnKMk2mDs7caomUkhsXvMqCjZuxpYtIkoZoRAymlw1hVF5mNVh6C3boaeI1lp2P4EbeQfcl7UqqOMxREw1FV1iuTdCOkmf6EV0IoQOMzhmKT/MSdjuK8prCYGTOkHSb2SW26/DzT//Eqto98e95+88gsKVOXbSQOf1n4tPVqjHAC8+vJBzu6CeklFRXN7FtWzWjRmVe+1LR8yg/oeiKiGUTtmzy/N79+okp4wbx/qc7iEQ7lpXbjsPYYaXpNrNLAqEoX7/1n+zZuQ/cjkF6AeCCV9f52tnH7Xe+dCTx4n2LiQQ7Llo5lsOapZtorGsmrygnQ5YpMkk6/ISU8ltCiJviQaORwFYpZXu9qEuIBZGe/Tzj0328HdtI7FgIsFgIcVP838XAolR3IeyTAazacJC/b1jBssodDM7O55oJx3F0cVugSUrJ/W8v569LVmLZDj7T4PrTZnLVzOQlHkeXDWDakDJW7iwnYsecjqlpFOdkcdbEcSm1vSEUpiEUpqwgD+MATmLV3nIWb9tK1Emu4SQkTC4o4/6TUyrs37dx6oBkPy8X6Tb2tDWKXoAS5z0yabQqWVX7HBWhDZR4hzOt+BKKvENbj9uuw582vsYLu5bjSkme6eeHE87ljIFHJ32/44qOptRXxN5QNbaM+wlhMCx7IJPzx6TU9vpoMyEnQn9fIZrYv59YVvsR25p3YUnoyqUP9J/Iqf2/l1Ib+zKNDcm1LXVdI9Ac7mFrFL0B5SeOTLZW1PLw26vYWlnLlGED+crsaQwobAv0ByNRfv3c6yz6ZDNSSvoX5PLLS+Zy/JihSd/vgjmTefy1Vdi20yqU7vMYnDx1JEP6p7Y8ubq+GdtxGVCUu9+gGsAzCz+ioqYR6cqkijxCwCWzj+arZ81IqY19mUBD8k7Dmq4RbA6rANYRSDr9hJTyzgMcuzPJvm69X4qO1wOjuji2jU72ppo+F8CqCjVz9qsP0RSNEHUdVteUs2j3Ju6edR5nDR0PwN+WrOSBd5YTsmKTjKjj8IdFS8j2erj42ElJ3/e+yy/gwWUreeajT4k6DmdOGMP35szEZ6bmRxSIRvmvfy3kzU3b0DWBR9f52fxTueDoCV2e8/aO7YRtK1bomURT0WeY3HbSPPyGmRIbDwd031ycyH9AdnI80kH3zsyMUYqMI9XE5IiiNrKDJz+7AduN4mJTGd7EhsY3uXjo7xiUFfMBv1//b17d8xGRuAB7bbSZ29Y8R74ni+OKE3WiDE3nzqN/yJM7X+Od6pVoQuO0fsdz6ZD5B5w8fF72RZu4be1jfFq/HU1o5Bh+bppwOccVj+/ynGU1HxN2o3g0HcvVodP0RBNeLht2NZrQU2Lj4cBJJ49j85ZKopHOWRIuY8dlVqNGkTmUnziyWLF1N9c9+AKWEws2rdtdxQvL1/L4DVcyol9MluPGR15m5ZbdrQvJu2sbuP5vL/HEDVcyekBi5UNOlpeHf/0lHnhuGe98tBWf1+SS04/hivmp0y/eVVXPLfe/wrbyWoSAfoW5/OabZzFx+IAuz3l9xWYiloPQQHM6ewnI8ppcd9nJKfNlhwPHz5/Ca4++i2N1XBTPzvfTb7CSbTlSUX6id9DnAlj3rFlCQySMLWMRnZiIrs3Plv+HeYPHognBg++uaA1etRCybO598/0uA1gew+C7s0/gu7NPSIvdP37hNZZs2xFzgk7Mnl+8upgBeTkcPzx5+UmOx4Op60RlzNtIKVvLCD26zvwxY5jYT5U6tEfznYEWnIwbXQO0BLH8GNlXI/TEiYl0AxBdCkjwnIjQ1IrK4YjqFnVk8XblfUTdEMRlaiUutozwesWf+MrI+wnYEV7Z82Fr8KqFsGvx0JY3kgawALIMP98YeTHfGHlxym2WUvKTj+/ns0AljnRBOkSiFr9Y8w8emHEjQ7OT61flGlkIBF7dIey4OFKjZXri0Qy+NOwUir2qdLA9550/lddeW01lRQORiI0QAo9H5/rr5+LzJS4INe0L8PG7GzA9BlPnTMDr92TAakW6UX7iyOLXzywm3G6uYDsuATfK3f9+l3uuvoBdtfWs2ro7oQrCchwefnsVt10+P+n7lhTk8NOr5/HTNNhs2Q7X3Pk0tY3BVr2+XVX1fPt/nuOl33yDwtzk4uu5WbF7ljQAJ+YZW77tHlPnhq+fitfT56aEaeWLN53H0lc+ItAQJBq20HQN02Nw45++hpakgqamvI4176wnpzCbY0+fjG6oRaPDEeUnegd97m71Vvm21uBVe8K2zc7megZn59MYiiQ5E6qbAuk2L/l1mwMs2bojwQmGLZsHlq7oMoB1/tgJ/O8H78W8jAG4IF2JJgS/nns6XzgqeTDuSEYIA0/Rozihf+GE/w0iGyPrSnTvSQljZfhNZMMPaO1WKB1k/m/R/Of0uN2K9CFVd6kjjj3BT4FEMe66yA5sN0pdpLnL0rw9ocwIsm9u3sOeYG0seNUO23V4fvcSfjDuC0nPmzfgRN6qXkHUtcj3RAg7BlFHx9R0fjX5y8wqmdgT5vcp/H4P9/7f11iwYA3Llm6mqDCbCy+axvgJZQljX3tsCff97Gl0Q299bL31ke9w9Ilje9ZoRVpRfuLIIhCOsqs2sUmTlLBi6y4AyusaMQ2dSKeugo4r2V61r0fs7MySNdsJRqIJzSZsx+XV99fzpTOSZ3pdNm8qa7dVEo5YOF6JsEGTkJ3l4e5bLmbyuEE9YX6foqh/Pg+89yte/cc7fPz2egaMKOXCb81l2PhEP/GPW5/k6Tv/heGJZUF7/SZ3LvoFIyYP63nDFWlD+YneQ58LYBV4/ewONCTsd6RLnseHqesMzM+lvCGx28fI0sykfNY0B/DoelItq/KGrnWZSrKy+P0ZZ3LT4gVo7dJ67z37fE4aqm6KXSGEiZH1BYys5BM+AOnWIetvQMowTVIggTwhEQ23ID3HJs3WUvRdVMrvkYVHy8J2EhcydGGgCZ3+/vzkOiAIJuYNTr+BSagO1ycNqjm4lIdquzxvRPYgvjrsAh7e8RKG0MkyYplXv5z03YyKy/d2/H4PF144jQsvnNblmB0b93L/z54mErFwTA3hSrRAlF9edS+Pr7kDX7bq1nU4ofzEkYPH1NE1DcdNfC7P8cX+rkcNKCZqJx43dZ1jhicGMXqCqn3N2HbiIn7Estlb2/V8YtaUEVw6dwpPLfwI09CRUlKYl8Wfb7mEstL8dJrcp8ktzOHyG8/m8hvP7nLMqkWree7ul7GiNpbQwHEINYX46dm/4Z87/i9ptpai76L8RO+gzwWwzuk/gbXVFcj2mZkuTC4cQLEvC4CbzpzNLc8v6JAa7DMNfnLmyT1sbYzhxYUJq+oAhiaYMSxxsrStro6fLljEqvJyNCE4fdRIZg0dQjBqc9bYMQwpLEg4R3GQhBfS4MLKiDcufhzLw5rmlRSHX4XsqzNqniKVKHHeI41+vhPZ2vQKuta2Su1IwZjcOWhCxyPgmtGn8cCW1wk7bd3ovLrBN8ecngmTGZs7GEvaCfs9msmxhYki8Vubt/LIZ4+wK7QLQxjMH3A8A7yjsaTLKf2mUejJ6wmzD2sWP/U+wVwPzTMGIzUAgYg6mFtqWb74U2Zf0HXwS9HXUH7iSMLUdSaX9WfVjvIOglACuPSEyQCU5GZz0YxJvLRyXet8QhMCn8fgqtmp07Q6GCaNGICmJX5Ps7wmU0YnBtWWrv2MO55+g901jfg9BheeeTSDC/IwDJ2zZk4gx6+C8IfKv+9bSET3oI8eDMiYIn40SvO+OjYs38LEE1S27uGD8hO9hT4XwFr2zmeYUZ3oQCcmbC5ADwr89W26FfOPGovPY/KnxcvYVVfPyNIifjjvJI4bkZnVaL9p8r3ZM7nnnfdatbk0IfCbHr590nEdxtaHQlzyzydojESQgCslCzdvYeHGLeTj4Z7X32P+hDH89vx5mLqqr+4utlPP+2GJ3e7JxQGWR+A0uwZf5kxTKBSHgJSSZ/bUMcCTT5m/AVcKNCGpieSwoWkA58bHfXnEbIo9ufx921vURJqYmD+Y7407kzG5mcm+LPUVcNaAGSysWEXYjbXuNoRGnpHFuWUdtRkrw5XctfEuIm4sy8ySFktrlxJxPiBsF/G37a9wXtnJfHPk+UqU9xCoaWimaVJ/0NtW0KUuqJ1QSlNT8k6GCoWi9xOxbLZuqEQzJK5JqyiUYQn0cNvCx08vOo3h/Qp57N2PaApFOG70EG4852T652dGL3XS8P4cO2YwqzbtJhKfT3gMnbKSPE45pmNDsI+3lvPjB/7dGnwLRiyeePtjNCnI8pjc/fy7XH/hiXxpbmaCcYcLNTUBtAH9EO0yraTHg11SSkj5CYUiLfSpAJaUkk8+24tPmngrDJwsF2EJ9LDGp6Kyw9g5Y0cwZ+yIDFmayNWzpjOkMJ8Hlq2gujnA8cOG8L05MynL77hK/tzatUQcp4N6iwQQ0BSNIlzBwg2bGZiXy49OT9R1Unw+KhydZM2EJYJyR2NkBmxSpI90pfwKIW4CtgFFsevIBw5lfAqOjwQuAYqllDd393P1ZWqjjTRYAaojg9gU6Ee2HiXomIRdD4XBzR3GnjVoKmcNmpohSxP5wbgvMDZ3MM/tXkLADnFi6VFcNXwuOWZHYd6FFQuxXKvT2RKPZlHvBnGkxsvlSxji78dZZar7aneJluXBno7PFgiBFAK3n2r4cbihSkOOHDbtrELXNDwBcDWQLd35pOTtj7Zyzfmx+6amCb588rF8+eTeEeQRQnD39efz5Osf8cK7n2I7LmceP46vnjkDs5No+AOvvt+hEgViGj6OlDSFogjgLy8tZVRZMSdMVLIk3cUoLkRUVXTY1xLM8her8szDDeUnegd9KoAlhMDvMQlGLIQjMJrabtZZ3sTOQYfKtl01vLdqGx7T4JSZYyktOrQH1nkTxjBvQmIpSHs219QSthPLSACkiKU3R2yHh95byTdnTicvS+UKdYcoZryTREchTBcIu6rD1OFELJMxMqa/bAAAIABJREFU9Q5HCHEHsEJK+WzLayHEJS2vD3Z8Co7PBQqAUQkXP4Lw617cuMBtxDWJuG2+IdtI3qGpu0gpWVO/h/ert5Nn+jhz0CQKPFndfj8hBOcMOoFzBu2/G+7u0G5cEsvSJWAIB0dqRFyL+7b+i9P6T8erp94/HgmY+X5IUq6jmzqOrnRNDifS5SegVy50HJQ9hyO5WT4cJ3YP1VxofzstyEm9n1ixfhefbt9LaX4Op08fQ5av+8+ZpqFz1fzpXDV/+n7HfVZ5YKH5cNTm9scW86/bv5G0NFFxYDw5/ljZYCdMn0koGM2ARYp0kU4/oTg40vIEJoQYKYS4KT7hSikXz5yM1+gYd/OaOl+YNTml1/nLo29zzc2P8cATS7j3n29z2fV/ZdGS9Sm9RjKO6t8fv5k8rijaOVjHlfzwoX+n3Z7DlWLfdDSRWPsvkNihx4hYm5OcpeiTyNiq48Fun4NrOwWrFgHfOoTxh3RcSrk4fjyxtVIvI50+ItvwMaNoAobouBrt0zxcPHh2yq7jSpefrHyOry95mHvWv8Gdny7k9AV/4IPq7Sm7RleMyB6BTmIJuQCsdgKRQSfEneteSrs9hyvHHz0cf5LFMcdxefkvb1JX1bVosqKPkSY/Eb/HbZNSPhsPFI0SQlzS3fHpPt6bSKefGD6wiKH9CxOCNj6PyRVddPLrDlHL5to7n+ZHf36J+15Yxp2Pv8G5P3mQLburU3aNrhg3uDRps5LOlNc28rfXlqfdnsOV40+dgMebOG+zog6P/+1dAs3hDFilSAvpm08oDpKUB7DiWQDHEssCSLna+A3nncisCcPwGjo5Pg9eQ+fE8cO5/pxZKbvGpxvLef4/HxGJ2tiOSzTqEI3a/PbeBTSm+UZ04aSJeDSDhBpClw77hA2rt+9ld02vn6v2Sgp8R9HPf1KHIJbAxScsPLKcXVWXIWVi9xkAy2mgKvAK1YEFOG6gp0xWHAIu4qC3/SGESPaEWwfM7c74Qz3el0i3jwD4yfgrGZc7FK9mkq37MIXB3AHTOSeF5XQLytfxZsVGQo6FIyVhxyLkWPxg+dNYSTpbpZJ5A+YhhN7hwciVEHJM3JjaOFKC5egs2LuaoJ3YkVFxYE6eNpoRg4sxjXaPSo7ErA2zd0MFt3774S7PralrZtHb61i2YitRK3lWtaJ3kWo/EadXLXR0w56M0BN+4n9uuJBh/Qvxe02y/R48ps7XzpnBiUenTn7kicUfsW57JaGIhSsloYhFYzDCf933Ssqu0RXfPucE9M4d8GRsE+1fu/DPhavSbs/hypmXzqCoNBe9nZ+QgKtrbFy7h7t/+WKX5+7dXcfrr65m1ftbWzMCFb2bNPkJxUGS8hJCKeViACHEDNLgdDyGwR+vOZ/dtQ3sqNrHsH6FDO5mjXFFZQNRy2bIoKIOQreLlqwnEk184NQ1wXsfbmP+7Indtv9A5Hg8nNp/OP/asqFVWFI4oFmx8pIW52M2x2rzqxoCDC5RXQm7w7T+d7G28uvsDa1ESkmeFqFACyMESBkgGFlKtq9jxkZF0/NsrrsVEf/TkUgmlv4vxVlzMvERFJ8DSbdr1kuEECvbvX6gXalFEbEAUnv2F00+0PhDPd5nSLePAMg1s/jjsd9nR6CSqnAdI3PKKPYevJ+QUrIrWIeGYFBWYQc/8cKOjwg5nXWowJYOq+t2M70kfZoiRZ4iTDmeBns9fsPClYKA7aHZ8sbvX7Hvfdg2MYWg0QqRZahuUweLoWvc+/PLufbaB9gaaARX4q0JY9ZFcIFdW6vYvb2awSNKO5z3yNPv8cjT76HrGkIIdF3j97+8hAljMtMgQHFgDsFPdElvW+joSwshPeEnBhTl8tTtX2XTzmrqmoJMHN6f/G6UD7quZEfVPvwekwFFuR2O/WvJp61i6+0pr2lkb00jA0vS1y123JB+FPp9VDcF2yJWLYvhnRQ0GoMRXFeqMsJukJ3j455nr+fqc/9IQ20TIJC6BrqGFXX44N1NBJrDZOe0Sb5IKfnTb/7N4pdXo+kaQsTe564Hvk7ZkKLMfRjFfkmHn1B0jz6lgdWewcX53Q5c7Snfx89vf5Hde/ahCUFOjpef33weUybHuhR2le3XU1mAft3A2yDAieleIcH1gDRAs0EPxmr2HUMyemBxD1l1+CGETqHhxzQS4wASl6bgQsBDlvc4hNAIWTvZXHcrrowAkdaRm6u/RTT/anJ8x5HjPRkhlDZK76LbbW9rpJRdiUwke6CuAxBCFEgpO3+p9jv+UI8nuZ4CGJbdn2HZ/bt17tr6Pfx41dPURppBQn9/Hv8z/QrG5sXer2t/kKitlw6E8FIebPtauC54dAddc7EcnYhtINHw6AYl3tz9vJNif3g9BvlNDrkbEv/EhCZ4c9FaZswey7hxAxFCsHrtbh579n2ilgNWPBPPdvnxtX/lyxdMZ8qssUyYMVJ1h+x1dNtP9KWFjsNmISRVCCEYN6xft89ftu4zbn14AcGIheO6jCkr4a5rz2sLZO3HFcge8BMeXUePSISMCdW7OjG9JtlmmwBGDCxSwatDICfPj/AYSE8SvUkJr7+wkinHj2LY2NgixpuvreH1Vz8h2i5ZIhSy+NE1f+OiL81kxqzRjBjdvWcXRTrptp9QpJiMBrCEENcC1wIMHTq0R65pOy433PQEtXUBZLz+IhyxuPkXz/Log9dQWpLLGSeO55U31hCOdFw1cV3JzKnp7WwYilqs3rgHLa77J+P/0eOvW/5sdE3w9dOViPuhkuOfSyD8OlIGO+x3ZZDawFPsan6eSjsHixw8mg/TlXjj8SkNlzwtVlJa3fS/1DRpeI2RjO7/KprWfSFnRepJQw16PXEB3Hbsb9nsQOMP9fhhSyb8RGM0xDXv/YNAu9K7HYFarl72NxbO/RF+w8NFQ4/hw9qdCVlYuhBMKRqSVvv2RZv5LFDVbo9ECEHQahEGjnkKU2jcMP5sDC1RL0vx+TnulPF8tqkSq1NmdjgU5cnnVvDY88sRHh2P18DwGIRDVqv4u9YUxreuHEfCI5++hKZrTJo5mt8+cwO6oX4vvYlu+ok+s9DRDXv6DJnwEzur6vnx/f8m3O6+sH5XFdf+4Rle/NXX0TTBuSdO5K///iAhC2tgcS5lJentULe7sp7GmiB6PI4u3VhFh2u2RK7ifkLX+PEVp6TVliOBY08YyZuvrcF1O95IrKjN3373MhGfiRiYj5nthYhNyLITdHzqapt56E+L+PtfXufUeZP4ya8vVosdvQyladU7yGiqiJTyASnldCnl9NLS0gOf0L1r8Om6PbyzdBPVNU2sWLWdYDDaGrxqwXFcXlu4BoDJ4wdx0bxj8HoMdF3gMXW8HoObvz2PvNzUdifpzFNLV7N3X1Pra0F8sUQDvCB0QUlBNrd9eT7Xna3aox8quVnn4zFGIkTb77VFcqzJddge9RNwJVG3iWa7mn2uj7BrxEt0BNV2Ds2uLx5pdInYW9hR/UWkTCwtUmQOKcVBbwegjsTJQEHsWkknAQcaf6jHD1t6wk840uX96u0sLt/AvkiQ18rX4MhEPQrLdXi9ItbM48xBk5jdfwx+3URD4NNN/LrJH467DDPNAaOHti6k2WqvxygQAkzdJs+M4tUkw7PzuWvqVZw/eP+dqhQH5oKvnEhhSU5HoV4Bdq6XoGUTkS7hqE1jU5i62maEJWOiZK6LubseNz8H6fXEfIvjsmbJJn7/4ycSJjqKzJIGP9HbFjoO24WQnvATUctm6aef8fbqrQTCUZ59ZzV2J90i15XUNQX5aOseAL44bxrjh/XD7zURgN9rkpvl5TffPjctNrbnjocXd8jwEYCQEs0BTQh0TTB2cAkP/uQyTpiYvpL3I4WvXnc62Tk+TLOd/5cSEQjR7DMIlWQTdFwaGkM0hKNYhX6kJmLJcLoW2zQBQuC6ktdfW8Nj//dGwnxVkVnS4CcU3aDPlhB+HqqqG/nhLU9RW9eM0AS25TBp4iAsO1Fg17IcKqoaWl9f/9VTOOuUSSxdtQ2PqXParHH0K05/Gca/lq8jmsQ+BFwwfSK3XT4/7TYcSWjCy9B+L1EfeJym4L8IW+uwZRAJVNh5yIQYr6DR9WFJAwctJiXggEfYjPVUYghJc3QFe6rOpazfi2givQFPxYGJdQFJrQORUn4ohOgcOCoCFndn/KEeV3SfTQ1VfGPJo4QcC4Eg6trMKC0jnETfKuLaVIdjCwya0Lh7xqWs3reb96u3kW/6OXPQJAq92Wm3+Y2q1TgkBtiEgO+O/QIXDUldUxMF5OZn8ZeXbuDfj73H8rc2sHFLBVGvges1kKZIaKEuAGyJHnZwBxS1VpWKUBRjRyVCwltPv0+TafCr312Grquy80yTDj9Bihc6hBBpPX7AT3MEs2rTbm6896XW7AvHdRlRVpQQwGqhpiHW4MdrGjx48+UsX7+TT7ftpbQgh7nTx5Lt9yQ9L1VIKVmxdldCkaJAgCO5/78uY+rYwWm14Uijf1kB9z/7XZ5/bBmrV37GltU7IBQBV2KX5LZm5QJxnyGxs010q+NvSboSYcekv/9535s0VDdx/a0X9uhnUSQnTX5C0Q0O66emn9/2IuUV9YTCFsFglIjl8MFne2LaFJ3w+UyOndJxBWLUsFK+cvHxXHHe9B4JXgE0hbvuFvXSqnUqEp8GNM1PUe7VDOv/ElIrRsbLbwq0EOPMKkYYtWSLtt+Li4aFhouGjP8/Ik12WYWtYyxrE41N/+jpj6LoAleKg94+B093aj9+BnB/y4t4C/BLPu/4FBxXHCSOdLlm6WPURAIE7CjNdoSoa7OidjvJxEs8ms6UwrbyQCEExxQN4dvj5nDlyON6JHgFYLtdZ3g+tOXlHrHhSCMnz8+V153GH56+DkpzkF4DpEQL2RiNUfRmC2G3TWZFS3aVroEWE/SVWR6ceNmQdCWrP9rB0nc2ZuLjKJKQaj8hpfyQRI2p/S507G98uo8rkhMIR7nhzy/SHIoSCMe2cMRi/bbKpPVEtuMyecSA1teaJjhh0jCuOe8ELjj5qLQHr1rpYr4gJNz+iPqVp4Pi0ly+eeN87rz/qxjhCMJxkR4dY18IT0UTRl0Q0ZKkIASuR2/9d+umxTchkK7L4hdWsfGTXZn7UIoOpGk+oThIDtsA1t7KBrbvqOmQou94BVE/2D7RYWoiAV+WyZyTxqXFFteVvL9hB88vXcO6nZX7HVucm5UwbWp57bgQiETTYqMiRr7/bAQGhgRT2NS5PsJSZ6i5j2K9GQOH/nojR3nLmeLdxbHenUzy7CFPC1PvZiFlLGfLJUxT8NkDXk/RM8RWTQ5uO/B7ym8BI4UQlwghbgK2dmpPfgnt2pMfaPyhHhdCHCuEuCN+3blCiDu66DqliPNR7S4Cdsd7qqa5sSd8gE6eYmh2EVOL0qOvYrkOb1Vu4PmdK9neXL3fsYXeZELxEo/mEJGhtNinaGP6jJFogB6wMZqi6IHYZtRHEVE3VjbiAppAShetOYLeGEa4ErcwJ1Yy4vUQbo7w5qJPM/xpFC2kw0/Q+xY61ELIQfL26q0J+4QLrUmw7b8IUnLSpOGUdbPJ1IEIRywWr9zES0s+paK2sctxQgj0lpa07ZESXNhTrRLu0klWjo9hYwaAEAh0jH1B9KYwxr4g3j2NiKiNCEXx7KlHr9iHvrcOvaoRrSEIthOTjXFdsGwiUZtli9Zm+iMp4qTJTygOksO2hDAUjKLrHaOeti8W1Y4UajhBFzMQ68xh+QV2P0/HuuUUUd3QzNV/eIbaxgBu/Fs8ZWQZf/r2BXjMxB//GVPGsnZXVfIglgCvcdj+ynoFpXnfo7b5SXY5Lf1hBBY6YcegRAQo9jSjI9tVjEikBK+IUqg57LSLKBAh+ukBLLcKKaUSYOwFpCvlV0p55wGO3ZlkX7fe73Nc70PgQ+Dm/b2Hoo1mKxIrqWiHrsX+vtseOtqCWXkeIy1/z9ubq7n6vb8RdmKdrCSSeQOP4tfHXISWpKvpyaWjeWHXJ0TdNn+gCZdCb4i6UE7K7VN05LrvzmXFmxtw48LMAsCVCNdGD4CT54nFQDUBmo6Tr6EFYllzQtewxw1GBKKIpgjlW6q6vI6iZ0mHn5BSfksIcVM8aDSS5AsdZwDPfp7x6T6uSCQQjuJ01quTsQwAaYHUaV30EA4U+9IjHbF6Sznf/+PzsQC4lDiuy5fnTee6i05MOn7s4BLW7aiiw2JHXOTV61FziXTzgzuv4PuX/BnhtFX9CFdC1MasaEQLRWOl5fFj0rXA1NAsBxl/CJHZPhyPwY7dnZuHKjKFKiHsHaT8DhZf8b+cmFMmnhHwVHxy1WMMHVqMaeiEaFdqEbvrgxDY2Tp2dtt+kab2sb94ZAHltQ0dnN/HW/fw0ILlfOfcRJ2SS06YzF/+s4xovP4ZGTNbCBiSkwvq7yatGHohja4fSZD2P2yJIIxODlbr5FYICLsGlU5erOxQxMbVSx/SFQxwmwiG3yTbf1rmPpACiRJR7E30Fh8BMK1kKJbbsaS8JXCVLE6lpyF4JaXkBysepy7S3GHhYnHFWo7bPZLzh0xNOOfSIefybvVyoq7AcnV04RKxDaoDOYzJHY0r3aSBL0VqGDCwABG2Orjj1kmIR4vNZdt/VyRIj9E2XhfIXC8EopRvquSzzZUMH6NapmeSdPqJ3rTQ8XmO9wZ6k5+ICZx3UY5HLGjVioyVDKYay3a48U8vEAh3zBh+fNEqjpswhOnjEzODf/y107n6F0+03pwk4BggvXDK1FFqgTXNjJo0KFY6kwQtGG3zGcRlEr0meM141hZtPkRKVqz6jPp9AQoKe0amQJEcNZ/oPaT8CVdK+aGU8mYp5aj4dnMmHI6ha9zyw7PxtusaZAacrnwQsyYMT7kNwXCUlZt3J6zcRCyHF99Lng6an+3jqRu/iN/QwZVorkSXEk3CvkCY827/O5X1zSm3VdFGUFokixR6hUNQelgdGsQ7wTG8GxjNxsgAnISFOY0G14cjLRqDz/WM0Yr9IruxKdJDb/ERALmmj5uPPgOfbrbuc1wtScp3bMfskkkpt2FHoIaKcEPCdy7kWDyzY3nSc/r7Srl5/A+Q0kRKyY76QvY05bMvnMWaumoue/s+mjp0KVSkGtdOPjGRpp4Y/Ux2QxECmeXBdl2WqDLCXoHyE72H3uQnhpQWcMWpU/G3y1qSIlkRd4xZx4xMuQ2rNibOJQDCUZsX301+/5g0poyff2c+aOAIiOYJnGyB69VY9MkWrvvz80mbWilSQ33N/udqrtfELs3HGViI3b8AN9cfy7xqR6whiItu6CxftiV9xio+N8pP9A4O6yXaWSeM5r4/XoXZFEELRPFWBsn6rDnW3tp2wY6VamgRl7deW0MwlFp9Kcd1W8sGO7M/p7F1bx05mJgh4ss7sRtaKGpRVd/ML59cmFI7FR3x6v2S7g9Lk49CQ6h3swCBVziU6GFyhYtP2J1GS2w0QuElhMLLlPh+JpEcVLtb1fb2yOKLI2fwlxMux7E0HFsQCRtEwkZMKsRtV0poC+758KMu7+ndJeo6OG7yYEjE6XxfiSGlZENDHVWBEnY1FuJIjZage8ix2NZUw/+uVyK96cTnN5Mf6DTJlMRKjFxTkHBbEeA6krdfXc2WtXvSYqfic6L8hGI/3PCFk/nJ5ae07YjfcjtPUqUJ//f6+ym/ftSyiVjJ/UE4mny/47rsaGhE5hnYuaLTfMLm4y3lPPHWRym3VREjK9fXZTae9Bi4hTnQsuBhO4hACILhpFlb4VCU155ezq7t+9fHVKQZ5Sd6DYd1AAtg0MACzNog3spmzMYI2eUhilfUkLu1iZwtTZj1Lr59LgLB0vdTG92OWA7SlUnDr9NGJ29fu3TdZ9z6zwUEy4M4PhJWch0p+WDTzi4dmeLQGV14Y4IujkBSZeXGOxQKBhsNzMvexiRvDWM9+xhv1jNIb+5whi5tpKyisuZyautv6dHPoOiEWjJR7IcBvnx0x4cVMXFtg0jYS1Ojn3DIQyjgIdjgpaE+m2bLYlVVagMNtutgyeQLGnP6J28s8uzOFfzvhoUE7Uj84ajj/cqSDq/uXpNSOxUduewbJyfsk4Bw2qKergCpgdQEUhc4Xg2nvTanjAUjd22t5sYr/o9n/vpWzxivSI7yE4r9MKAoD5/XiN1uNYE0BNKIB6gNsLLAyhJsLq9h776uBda7QzhqYXdRjnb6tNFJ99/z0lIeWbQSO+x0CF61vqdl8+IyJQ6eLnx+D6dekCgBAODmZcU0EqVEq25AL69B29eMVt+MqKyDUFsGtbAdcFzWrdzOdy66hzdf+binPoIiGcpP9AoO+wCWx2sycEhRh32aJfFVRzDCDp5Q/EHTlQSDkQ7jLNuhKRjudvbMO6u34iUuDN+6PBPbBuQnF9q999VlRMJ2rMPJflAJPeljYM45DM//Bu3vPrkiiouJi4YHh2m+CnQh0YVEE6ALKNXDZAsLgUuxFsRFIF0Am0DgaSJR5XQUit7I0NwCPFrHJh7S1bCiBpZlYFmxbBtBTPi9PRHHovkQyvUW7V2bVNpQACW+3KTnPLD5LSKulfRYCy4HcCKKQ+KKa+ZwytlHt3kJKRFRO1YCIuKdjlsmje022ZKJJSVEbfAaSMC2HR6953VqKhsy+KkUCkVXTBjWPzEDVwikJnBNAUbsTq7rGs2dtKrCEYtguPtVHotWbEqS7gWaEORnZyWMj1g2T739MdGwvV/t3K6yfxWp4fu3X8JRs8YkxjCM2PRbhKKI5hBCxt1Fy1YfrxaSEhoDEIwCAtty+OOtLxJOccWQQtHXOCLaUHz31gv59XWPEIlYsRVPwPHqhIblI+MOJxSI4EPiuhLLcbj78Td5Zek6HFdSUpDNLVedzolTDq6uXcadi7Biq7AQa1SiAT4zefnB7trG1uiUHgbHLxNWTaYML8OnOoiklbFFP6LQN52PK7+LhsVAI0zACVPpZNPfaMYFOves1IBiLUyuhCI9jAsEpEE+NpIIwdACvJ5jev7DKFQKr2K/mJrOf08/nVuXLyLktAWGhJB4fDZCi92To5aN34jpTjXbYW5b8xJvVa5HIhmeXcLPJ1/E0YVDDurask3CtcN+r2Zgask749ZEmuL+peXMlveI2w2cPmDCQdmhODg0TeOW317KUTNG8Oe7XsO1HUQoiha1cT167JfTBVKAFnHQbBepa0ivAREbIQSr3t3E/Etm9OAnUbSg/IRif+Rn+/jqGdN5bPEqQvGyPUk8y9Kg9RYeDVsYCKSUVNc386uHFrBq426QMGF4P269+kyGDyzq8jrJSFhIj7/0eYykt5qGQDhh4bxzIEvXBOccp/xEOvF4Te565Foe+uN/eO7Bt5G2G/td2C54NERzsOuMhGAIEbURURtXhJH52Yiog65prPtoJ8fOSp55p0gv6fITQoibgG1AUew68oFDGZ/O4/EutmcAz8R3XQrcIaXc1t3Pc7Ac9hlYAMeeOIY7Hr2WmadNZNDwEvKHFxEYXxgLXsVXRZ1sk1//7Q3mnnUXX/nuQ7zy7joiloPtuFTUNnHLvS+zdlvFQV139pSRuDJWdKa5sU1I8JoGc6ePSRgfDEXJr5Pk7nIQrsTTLGPdTVo0NST4TZNfXTnv0H8oigNSmjWH48oex2eOYXM0lxw9gLafXNCIFCAkHs1pfVaI0iIIrSNEelorKw6MlAe/KY4sLht9NH899QucNGA4I3ILKfR48WZZaLpsTaDRTIevLfs7k1/8Dee//hfeqliPLR0c6bK1uYrvLP875cF9B3XdeQOPwqslLki4wOx+iSWENeFmNNdHJBo7R9dbVtDbvrRF3mx+NGn+Qdmh6B7nXjyd2//4RYrLCnCKchARe78lA8Jy0QJRNKutbFT6YgtamiYwvWpxKlMoP6E4EN8+bya//tqZHDOqjKH9CvBmGbheOqTP2Eguuv1hZl//Z674xSOs3LATx3FxXJe12yu4+jdP0hyKHOBKHTln1kT83uQL31PHJUqSNIci2BEH3JhZukXHL62EYf0KuWrutIOyQ9E9rv7Bmdx815VkFWQjNRH3E0miisTdh2EgLLc16UIIGdPLIrZg5VF+ImOkw0/Eu6xuk1I+Gw/0jIoHibo1Pt3HiQWl5gKLgDuA+zsFrw7q83SHIyKABTDu6CH84t6v8NcFP+bC752GYXTqFCQEUgPHsancXoeo7FQmErX5xysfHNQ1Swty+OGlc/CaOqauoWsCr2nwpbnHMm5ITCj8wzU7uem25/jGjQ9z1XUP0VzRjCbBCLkIV+KrcTEbJZ4gjM4pYMEvr2ZoacEh/zwUn49879GcOPhlhuR/i5A0Ocq7m6CrdfjDkRL22FlstAsod7LY6+SwxS4kIA1CrklI6ggMsrMuyNjnOJKJlfco0UXFgTlx4HAeO+MK3rzwW1w4bix6545A8ZcRx6Y8GCTQqYrPdh2e2nFwAr4TCwbxpREn4NUMdDRMoePVDG6edDYlvlyklCzas4GvvfsIF7/+AOcsupeg5QAaUSsexNJcdE1iaDCteDALTr+RIq9qt91TTD9+FP984QZmX3AMbo4PPWTHVtjbIyXmvhCe2hB6JKZpgu1i+XTCpV4cn45EcvypKiMiEyg/ofg8CCE4/dgx/O0nl/Pir7/OlLFlyQbhmhCIWjSGIh00uaWEqOWw4P0NB3XdOceMZvaUkfg8JkKA19Txegx+c+05eE0Dx3V5eelarv7tk1x122Ncdds/kbaLEC0ly6BFQLPBcGH+MWN4+r+vwu/pohmFIuXMOftonnjnpxx1ynhklicWnPr/7J13fBzVtce/987MFlVLci9gXMCmmWJqgAChhhaICYFAAoGYkLzwUiCB5OURUl4SEtIgIbSEFnoPoWMwHWMbsMEYg3vBRZJVt0y59/0xs6vV7sqSZcla0Hz5LNbOvTtzdzSaM/fcc36nItYeHujSAAAgAElEQVRpLqoBaqpgSBVUxKGqAmoqUaYFSqMFRGMWU/faYcC+x2CmH+3ETK31/TnvnwEu3Ib+/d1OUB1WaK33LVIhdmu/z1YzKF24K9c1FhdD1BqjOYHVlCI9rg4xxMimGGpg5fqtW1kHOP3waRy02448N+9DXE9x+N4TmTh6KAAPP/k2f/3n86TSuYLsQcSWB1arwosJIpZBxDUZFStnzcdNVE8KI3m2N1PqvsfQyChWbf4RuxgbaNVQjX9dtCiTehXNCrxnnO0bvAriONSrODWVF2CZOw7cFxjMaCgs/xUSsmWWtdajugil8dImLgId00RML/v86WiP5W1bXyXo4qnHcPyYabyw4X1MYXD06N0ZW1YDwNXvPse/lr3ZKbUxOw4lSaYtIqZH3DSwpEmVVcbaZBMTKodt9ThCeo+Ugp/++GTG1FZw9y0vYyVc3KiBivmr5ka7jUx5ndbbNWC1O9gjYrTvVM33zvsc5RWxARn/oCe0EyG9YNWmpi7b3JjvMDJsQHfE2qRsh1Ubtm4+IaXglzM/z7vLPua191ZSGY9y9P67MLTaX6j4yfWP88qC5STtDjuhM/+XAq00UkPMMImYBjHDZFNTOyNri+sshvQPkajJ7/9+Lr+87F5efGExRCO+E6st6f/CKsrANIMU9OCKEQbS034aacziR1edgWEMmviT0qIf7IQQYp8imxvxI5y2un9/t3fHtn6+p3zqHVhKKea++hEvz3qfWNzi6JP2YspOI3jceK/QiRXkiTt15YhUGmmbeGbw8CkFu08Y1asxjB02hK8d11nTIp12+Os/X8hzXgXDkCAUKNMXhlSuwnFt5i1azX/94l7+/JMZ7LnzmF6NJaT31FV8iU1tt5J0lpDSYGtNFEW9igXOq84oBIbQOEg2pBbQu6snpC8IUz1CtoSjPJ5atYRZa5cyLFbOGZOnsUfNaObWryxwYmXEuaX0UK5AKYFh+H2i0mTPmt6tjE6uGsHkqhGdtm1ItnLb0jewVfEqhQBS+iNMeh5Jz2P2hiXMaVjO3Yd+k/EVQ3s1lpDec9a5h/Ls4+/QWN+GmfbQjodnGRjtboGVEABKI1MelFvMX7WB4wdgzCE+oZ0I2RIp2+WpOYuZ+8Fqxg4bwhcO3Z2pY4eztrFIxUEtEB4IrVGG78jK/P2XRS2mjh9R+JluEEKwx8TR7DGxc9TX+ys28PKCZaTsrquTC93xHVK2y5Ovv88rC5Zz7y+/Rk1VoQh8SP/yrUs/z/x5K2lvT6HrqtGVZYhEGmFZhfqJQkDEBKWJxC3eX7SWvQ+cODADD+mtnRgqhJib8/6GHE2oWnwHTy5de8a779/f7QAIIWYG/fI1rrb2+/SKT7UDSynFry67j7mvfUQq6SCl4MlH3uKsmZ8lHrVobU91hG56CiOtcEdUgiFBaawkaFOjI4JoxOS8E/fvs7EtW1WPYRTx4goBUqMVeDFRWPbWdrn2Xy9yw5Vn9tlYQnqGEJKdR9zLuqaraGx/CE+3kNQSdwveeC9INmx3lmyvYYYUI5yYhHRB2nP58tN38kHTJhKugykkt34wjyv2+xymlKS9jggrvyiQwIz627SGlGMSEy6WhLgRYcYOfWcn3m5cQ0SaW3BgaQypO5kJjSblOdywZDb/t88X+2wsIT0jFrO49p/f4MZrnuGV2YtJJR2MlIvY0lOvECilWfzRhu030JBCQjsR0gUt7SnO+b87aWhJkEw7WKbk9qfn8cOzj+D5hUvxcv++FZhJ/0eB8ItsGKA9sAxJTVUZR+5bqIPbW+YvWdN1NUGd/V8nPKVJpG3uf/4dvnHKQX02lpCeUVtXwTX/OJ8brnmGeXOWYWuNjuqso7EoAmzbZfHCNdttnCFF6J2dqNdaT++irZguUCOAEGKI1jrf+bPF/v3dHoxnLtCU0b0SQlwvhJgRpA1u7ffpFZ/qGMR5ry3NOq8AlNKkUw53/P0FfnbRcUhX+zMSpTFSfq44mbBMKRBAtE1xwG47cvNPzmTciJo+G9uQqjLcfI2MDJk/ji78Ih+t3PoUlZC+wZCVjKv9BdPGvcuYIZdhyjiWcBFFS9YLvOB3GQ/TBweQrc9XD7VNBg/3f7SQxZt95xWAqxUpz+WXc5/nimkndhbjDP7MMw4j/1+B41gcNXI37jjkIoZE+m41uy5aFlQYLE5XV6nSmrc3r+qzcYRsHbV1FfzoZ6fy6POXc8Kp+xKNR4AunnulQEUlQgh22qFuu44zJJfQToR0zT+emMOGzW0k076dcFxF0na44ZHXmXnk/uAFRkJpjJT/l565OgT+YrS0JCcfuhu3/PQsIlbfxQ/UVpVhGYUVa0XOIIpdqbbjMe+D1X02jpCtY8y4Wq686gwee+Fy9ttzHFEpwHELQ3y0BqVASqyIwYTJWx+9F9JX9IudaCKIYsphS2VKu+vf3+1orefnirbja1xd3tPP9wWfagfWS88tyjqvcjENyWvPLSbW4BDfaBPfaCM9CqKdAMrjEc4/bn8mje3bVIxRI6rZeeIIzLw8ZsOQxC0LyzQwZPFfz9Caij4dS0jvGFH1LXaovZo6azwWCklHNTCBJoqDEAIpYowfcvGAjnXQo3vxChkUPLJiUVF9KSFg9rpluK6B4/gvhChmJrCkybd3OZbR8b5b5ADYp24HhkTKkHnTD0MIotLEkiay2ICAsWV9/rwQ0gu+c+nnufDioxk+vg5Ex60lc5tJjoyDEEQjBuecesAAjjQktBMhXfHcvA9x3MJI2MaWBAuXrMNKgNUGVntQcbzIPrSAS846kiEVfatje/jek5BF5gtSCizTIBa1MPLT0vClUXYcGdqJUuBn157DV755JEPqKjqXrguq0OugAqFpGpw4Y7+udhOyPeh7O9FIYdTSEIAuopW669/f7Qgh8vWsmoCM9tXWfp9e8alOIYyXRZDSD83PRQt48umFQNcr2Nm+Gkyzf/x8v7rsC/z41w/x4bKNmKbE8xQXnnMYM070y9recO8r3PWfuZ3y2mNRk6+fdmC/jCdk6xlSfhJDyk9iqvZY2/owG9r/g+M1knaXAS5RYyQTai6ntuwwXHcNnrcOy5qClFUDPfTBQ5D2FRJSjHKzeBUmV3s8vmYx3VsJ/xkzIgtXwLcVKQS3HHoO33z1LtYlmpFCIBD8cp8TOW7sbgBcNv9+nvt4EWmVYycMi29MPqzPxxOy9UgpOOm06Zx02nRs2+XRu19nzssfUp9IsiyZREnNjqNr+cE3jmLy+OGsWdlAS3OCCTuPJBYLK4RtN0I7EbIFopHi0yXX85j7/uqC4gzFEAg/06OPiUct/n7pDH5w7aO0tKf87JGIyW8uOpF9dxkHwAX/dzeLVqzHycn8sEyDM48uprccsr2xIiZfnnk4X555OIn2NPf940Xee3sV9fWtfPxxMwCTp4ziuz85ibphlSxfvI500mHS7mMxrb5/9gjpgn6wE1rr+UKIfMdOLfBsb/r3d7sQYgLwjBCiJschNQRY1pvv01s+1Q6so0/ciycemkc6TyjdBYQUWc82gGErXLNQc0przdjRfbuqnqGmuozrfvMV1q1vYnNzggk7DiUei2Tbz59xEK7ncd9Tb6G1b2wumHEwxx26a7+MJ6T3CGEwpvI0Wu1FrEvPQxABDBRDqIxOob7+y9jpOQhhobVDRcVFVFZd0i8PMyFFCFfKQ7rgKzvvzesbV5N0O0dhWYbAzQvlV0og8zSn0FAbLaPK6p/qsOPKa3jsqItY1lpPu2szZcjITs6yK6edQlSa/GftAgRQbkb50e7Hs9/QnfplPCG9JxIxOeXMA1n81ioWz19BjWXguYpxVTWMrCrn2+fcwOrl9RimRCnFzO8eywmn7TvQwx48hHYipAtmfHYa1zz4UqcFZSkFlbEIzW2pwg9oXTCf2GXc0H6rFDBlxxE8dtUFfLimHqUUk8cN65TF8cfvfoErb36KVxcsRwhBXXU5/3PeMYwfFUZglRpl5VFmnHcYC753J/WNCaLxCK7jMWpsLYaA84/4NZs3tSClQEjJJb8/kwOP3n2ghz146J8/4XtzNKQAjgauzzQGTqN9ctq32L8/27XWy4QQF+ZFU50B/HYr9r/NCF0iZVemT5+u586d233HreShu17nH9c8i2FKfyFdw+En7cW/H3u7YMXEjUl0JC+lT0NldRl/v/psRo8spkvW/9iOS3NriprqsoKUw5DSYV3rQyxu+AWeTuZsNakwytjR2ADY2a1CxKke8jvKyk7b7uP8pCGEmLcF8cNuie40Vo+68jtb/bmVX7tsm44b0vf0h53QWvOrebO4/YP5GFIiEUQMg/1GjeLZtR/mBWBppFQI2WkTljQYEa/i/iPPpzY6MBWdkq5Nm5umLlqOFKGdKFVuveYZHrj1ZeychTUrYhAtj9Fuuyiv45ksGrP41V++wh57hxqK3RHaiZAM/WEnPKX4n5ueYPY7y3zHAVBTGaciGmHJ6s66tBo/06OTCBWauGEwYfRQbvzRl4hFBia6sj1pk7Qd6qrKwgXUEuY3//MAL896H8fpSFuNRE2MtI3d0NrJDxqNWfztiUsYPX7YAIz0k0Up2wkhxA/xo5gm4Auk35DXdrTW+uie9O/v9sChNiN4Wwcs3dr9byuf6ggsgFPPPJAjjt2d+W8sIxI1mX7wJL5zyZ1F+0oFOq3Qhi9UITyNFoKWhnau/uszXP2L07dpLMs/WM/LTy3Etl2s8ijRuMU+B0xk8tTRW/xcxDIZVhvqXpU6q1puy3NeAbi0e8240sHMrRSmk7S1Xhc6sLYXpeGnDylBhBD8z/TPce6U6byxYRW1sTIOGTWegx/5C5rO/ivtSezWCMJQSFOjlUA5AifmsVY185f3XuBn+3y+12PRWjO/fh2zVi9FaYUlDSqsCJ8bN4mJ1VsW+I6bEeJmZIt9Qgaex+97s5PzCsCxPRy7HR21OkVtpFMOD935eujA2l6EdiKkCwwp+fXME1j+cQPvLl/PiJpK9po0hs9efG2BnUCCNiArehc0Jj2PD9Zs4sHZCzjr6N5HViqlmbNoJW++vwoR6FxVlsU4ct/JjKyt3OJny+MRyuOhnShlHMfjpVnv4zqdNdfstItQoqBSoet6PHn363z9spO24ygHMf1kJ7TWV3XTdlWRbb3a37a2BwLu27T/beVT78ACGFJbwZHH7wnA+vVNLF22CW0KpKuzpa1VoHMlEIjMPSN4kNQK5s5dxn9ddiff++bRTOyhl3tzUztNTQnGjqnl7utm8cDNL5J2PVTUP+1CCv5142z22m8nYlGLNSsbmLrnOL507iGMGD0w0V4hvcdRbV22eQhM8tORGvt7SCEZwolJSDeMrahmbMUeAMzZsIrGtO+Mzqx0CgFe2k/d056Bl/NsqVICL5LmX8vmsT7VzE/3Op4xZT27h69PtNLmpBlfUcOPXnuSx1d9QNLuSGc0hOAPb73MCTvtQoub5ONEK4eO2onzp+7P0Fh5H3zzkO1JKml33ymHhvqu7UpIHxPaiZBu2GlUHTuN8hcTHnt1EY7na0pl/VQalAEUiKYLtADPUVx9z2wWLd/AJWcd0WNB97X1zbieYnRtJRf/+SHeXbber4gYHMY0JH998CVOOWQPVn7cSGsizZH7Tub0I/cKHVafMFzHQ6viNyMtClU5PVfRsLGl/wcW4hPaiZJgUDiwMrzx6kdc+dMHUBYQMRBtSURgfKiMQhdpFwLA1bz35gq+Ne9mfn7lFzng4MldHqe9Pc0vr/o3c+ctxxASbBdzbYt/UyqPdDjGNKSTDm/MXoIQ/vsVSzcy6/EF/OWOmYwb37eVD0P6l2FlR7Cm5W40nbV0DAQRVF5vg2j00O03uMFMNp4/JKR77vrwbf73zaf8Z5QgDSQbFKOyeSGFaIFWmmdXL+XVdTfwryPOYY+6UV0eZ2OijYtefIiFjR8jERhIXKVJe51XXT2t8ZTNgysWZg/9YXM99y9byOOfP59h8dCJ9UlirwMmMOfFJeTLNwhDovNSeiIRkwMO6fpZI6QPCe1EyFZw3SOv8s8n53TYidxHvC1cRhlH15NzFvPG+6u49SdnMnpodZf9V6xv5NLrH2P1xiYEEDEkju1h50XnuJ7CdeC+597Oblu2toHHXnmP2684m3g0LAjxSSFeFmHc+KGsWLqx03YhBSIvehcgVhZh+menbK/hDW5CO1EyDBqhjPa2FL/46QPYKSfHe6oxWtOYrWmk7XYtrugoIg1JrM1pdH2S//2vO/jvc29CqXynhM/Pf/Moc99YCpuSeBva8TansKMWOr+aYU6l1My/nqtIJmxu/tPT2/ydQ7YvE4Z8k4hRixTRYIuBFDF2HnI+QsbpeKqJIEQllVWXDNBIBx+ZqsRb8woZfKxo2czP3nwWx1OBmch7UMmP3c9BKYGbMnHTBi0Jj5P/cyvfmv1Q0b5aa85+9m7eql+Lo13S2iGh09jYFC7vaYTReSi28mi2k1y/6LWt/5IhA8rMSz9PeWUMK6hqZloG8bIIp5xzMNGcqoNWxGRIbTknf2n/gRrqoCO0EyE9Yf6SNdzxzDy8jF7dVmhJieBGroHG1gQnX/4P/nTf7KJ9bcflgt/fx7I19ThpFzvt0tZuFzivoPi1mHZcNjS28tjL7/V4fCGlwXd/chKxuIUZzButiEFFZYwjj9mNWFlHRF00ZjF2wnAOOX7aQA110BHaidJg0ERgvfbKh8gg9FKmPFTcwCu3MJtToMFsSWPHI4UrJ1pjtaQ6z1s0vP/Oar52+l/55dVnUltbTmWVHwbc0NDG/DlLoSGFyFYAEX5OfDwKnouOGGgBSoKZKHSCaa1ZMH9lf5yGkH4kYtRy0Nh/s7blXhpTrxM3xzKu6mwqIhOxyz9HW+vfcL2VRCOfoaLyQgxj5EAPefAQGpCQHvDvle/jKQX40VR01P5ACJBRD5XMj8LSiIiHcmSn7Rp4fOViznj6Dn51wHGMLKukwvKd2wsb17OybTNaqE5zHw0IU6EdshHBwvTIhoLl4CjFC+uW8T9hkbpPFGN2HMqNj3yXf9/9OosXrmanySM5+awDGTG6hv0P2YUH73qNpoZ2DjxsF045Y38qKmMDPeTBQ2gnQnrAI6+8S9rOi4QJsigEIFzQZl4VQg14wQ+is524/al5tCRSnH3sdEbXVhMLnNsvLVxOW3sKVM5HRN6EWHTsp9j6Ssp2eWnBMk7/3F7b8pVDtjNT9xjL9XddxCP3zmHlsk1M3WMsJ83Yj+qaMl4+fCr/ueMVkgmbw0/am89/5aDsgkjIdiC0EyXBoLni7bSbvekbrkIkNCoicatjmE0phO1h1rfh1pZBptKfEOAqCrK/8G3GhhUNfOvcG9EaDjl8Cj/48Ylsbk7AR+sRtTV5H8hOg8BVOENiYAnMRL7ot0/GIRbyyUFrj0T7XZjJmxiq24iLw4lJf6UkEtmb2robB3iEg5gw5DekB6RdB6WDG76WvhNLaIQM7t6G76zStpH9jIx4YCq0Wzyg+Y0NqznlyX+i0Jw5cS9+ss9RrG9vxXYdMDr3zaSSCxN8w6ORpka5xa/fMH3wk4edcvj3rS/y9H1z/NLoQyuIBxo1+xwwgX0OmDDAIxzEhHYipAekbLdwDhs84msIHFWAqTsaFaB0oeA7/mX30Gvv8eSCD9FoLjj2AL5+9H6sq2/Btb2CAC8h8isdUpjGmO0rGF4TFoH6pNHWkuShm2bz4n/eRkrJpHE1xOIWQggO/fw0Dv18GHE1YIR2oiQYNCmE+x80EZUjiic9jZn0EIaBW1OGVx4BKTs8q0ojbBeZcOnS3ao1tu3hOB6vzP6AP/32cRIbN4NhdhlSLBAIR2G12ggPVMwo3LsUUB3lq9+8mWtueI6GxlDE9ZNAw+Yf0NT8G1xvNUptpj35COs2Hovn1Q/00EJCQnrAMTvsTNTIWdfRAq0MlCNRDmjPj5CS5Q6yzMaosJGWh1ZdPdD425OeQ9pzuWfpO1z77iusam1Cy55kngi011GGPRcJbHZbOeGZ6/jzoudpdVK9+MYh2xOtNf973g08cOPzNKxvprmhjafvfYP/PvkPpFNbJ+4eEhIyMBy73y6FmlJCoCV4pl+BMCPojhbgglCZ9MGubUXCdkjaLjc+9QaPz13MBys3bDHYQ2T/LzpFYuX3WfDhWs664nbueHIuaadQQymktHAdj+9/8Roev/M1murbaNzYwsP/fInLvvL3Au3EkJDByqCJwBo6rIqpU0bzzrwVgEag0Qi8iERVREBGkG0OZlO60MQUWTLRgDY6/H+27TJ71iLmzlrgpw5qXXR24pRLvMo40vXDfb1yC5RG2iq7guPFTVZsboEmwdp1m3nm+UX886/nUVcbrqKUKq67jvbEw2jSOVsVSiVoafsnNdWXDtjYQrYoXRQSkmX3mhGMrKhgeUujv5ruSdAKYfkCqv42glmCRFPcudSBRuRcfEnP4R8fzCFTZLALM4GQfhpj8I4OI9SxL2Folid8kddVSxp5bPW7PPy5Cyk3w4pTpcqSd1bxwdursFMdk0jX8WhqaOfFx97m6Bmh3tVAEtqJkJ5w8O7jiZiGXwUQAqEb/FUFww+Ekh5oFbisujMTCHRONG7Kdrn+idf5eE2TnzJIcbeXEmTDEAQCz9IYTufDaKlZ/vFmAP6+fjOz5n3IjZefgSEHTfzCJ47XnnmX+vXNuDlaZ07aZeWS9Sx4fSnTDpo0gKMLCe1EaTBo7mA3XfMsC+atQGjtr4IEsbdeVQQdkWjLwBsSxR5VhhfJOS1F1Nj8uYuAIqLszbaCRKpQuU1rUBq3Kuo7rwheQqCqojg1MezaKOmRZbjVHZUKXU/Rnkhz5/1v9O8JCtkmbOd9yIq355Imbc/Z7uMJyUH38hUy6Pjmyw+wsr0RIUEYICMKmQmoDZxNmbaOiyRPIDH3VWTBvdVJk1Z29mP5ZgJyPxOssQsROMI0hqkwLIW0Oh5ubeWxMdXKgys7KlCFlB4fvbum6Ap6KpFm8Vuh7uWAEtqJkB6gtea8X99Nc3sqswGEQBngxUFbgAUqFuhg5ZqJ/IVwrdFo33mVN51Yv7kVL+cCK2ZlkB0xWODbCS8iUBYdrxy997Tj8tGael5ZsHwbzkBIf/PhwjUk29MF213HY+l7awdgRCFZQjtRMgyKCKyWpgT3/yuo1pRZCgn+lY5GxXI0ryR41VFkYwrpKtD+Gnv2oVMIVESClIiCxHRQhoFQnl/q1DL8tEQAz1+27zSfcRXSVWgp0Jb0+xdZZnFdxdy3VvTJuQjpH0xzHOAUaTGwzHC1ZGDJOKz7Yc9C/BBYBtQCaK1v2Jb+/d0e0jUfNdcza+1HQJ72bt5tOaNThQQyaekyZ3vmJbXv8Mq79MoMi3bt+qmBQnd8jpyIrBxxE51JQwlyUoQQKK1w0/7ADFMhDU3Kc3l5w1LOmRhG8ZQqI8bWIo3CdcNIzGLMTsMGYEQhHfSfnQj59PD6olV8uDZHFiK4wQstOqKwMpgaXO2HZAXCVflXmLIo1EIEDCFwJeDip5uTt2QiO/rmTpBFMCYhQLsaFexben5bMu0wf/EaDttrYi++fcj2YOQOdcTKIqQSndPKrYjJiLG1AzSqEJ/QTpQKgyIC6+15KwqdTZCtSNh5o0CbElVmZZ1Xmb7gL3jssf9ORGMWUnbsMxqzOPCQnYlETRg9DKkU0vWQtoO0HYTnp4RYmx1km41sSWO2ppFtaczmFJGGJNaGNqzNeTomnkImbHQ6zFsvZSLWzkSsPYHO6TtCRKmquGBgBhXSQT+smAghfgss01rfHziKJgohZvS2f3+3h2yZFz5eiu7hUlnGMSUM5Qu756yLCAmWKTlgxDiihtHJhsQNk/2G74AUgUNKC3TOy9fcEihPolxQnv9eK9CeRHsGTkrg2SbK9bW5nKSJk5YoV6CKiPiGlA57H7oL1bXlBU4syzI46ov7DdCoQrKEK+sh3fDC2x91+WsXRe6/ysCvIqh0gfOqLGax106jiJg5RUGEIBaxmDiizl8wt/CrmAuRfWVsh/DwBePzr0ml0XYwSsNfmFeWP+/WEOZAlTifPXEvrIjZafFLGoKyihj7Hzl14AYW4hPaiZJgUDiwYnHL1y8BUAqRshGJNNhdCLRrjTYkKmpkb/iZcN1ph0zmj9d8letvm8kRR+/GyFHVTNt7R37+29P51nePQUqJTLsIpcHxwFVoT6GjFpiGv92UEDVRZRFUZQwvZqG1Rjoao90hk35o1rcTX9ZIdF0LDa8t5+LT/kJTQyjoXqqMGHobZfFjAAutLbQcR1X1bzHNsKrUgNM/Bmem1vr+nPfPABduQ//+bg/ZAmWmlV3o0Bq0R1bvKj/rq9DR1fFeAF+eNI17jj6HB475GkeNnczY8moOHz2ROz93NpdOO5yIDBxbOlOdikzRweyupAXS9KsQSksHuljgh3vlHFqA8gxcx+CFVas4d9Y9JNxQELwUMQzJ7++/mD0PnIRpGRiWwehdR3PJdedSVRNWlBxwwolJSDeU5Yq39+B6EPjRUPneKykF3zr1M9xy6Zn87VunccDO4xhdW8XRe0/mX5eeyYWfP5BYxAQp0KZAB+LwWtJ5Z7krJDnHEaKzQ014HcO7+7m3ueKmJ3G9cMWjFCmvjHH1ff/F5D3G+XbCNNhpzx24/O9fxYoMisSp0ia0EyXBoPhLsGKWL4bneMiEn1csAO14CM/DrYpkc8lRGiPh4sUMImkDlalXKyAaj3DONw4HYOy4Wi674gsFx/rFr7/ET86/OfMR0BoVCQyeEOiIkRG/6vhQxAClwPbQSmO2OIiUg9mSJJA9QSnFsvfX8avv3M7v7ryoX85TyLYhZRXD626kLfUOHzRcjONuYkPjFZhNf2SXYddQGd1noIc4eOljAyKEKPbLbASO6k3//m4P6R4pQGmNzjiSAD9c3H+jyclAB7Twi4EIbaByLrCYYXHB1L5zoNYAACAASURBVAMA2K12JNcfdnrBsa468AQufvHR4FP5kxHfaVUQNGzgp7LrYEw5Exe/r8DVitc3rOSKN5/mdwed2NtTEdKP1I2o5tf/uog33lzKr695itVJm5/+6XFG3vkyv/zxF9hxbN1AD3HwEk40QrrBdQOnTzFnlSrcLFyNFr7DSuf4i8piEU46aFcApk8ey/TJnYOlJ4ys49snf4bfPzA72FHwj5eTTljEMeZ3Er590vjRX17OLoSvrfvsvCWMGzGEC046sIffPGR7Mm7icP788H/z9JML+Ou1z7AikeaSS+9h4qTh/OznX2To0MqBHuLgJbQTJUG/RWAJIX4ohJghhJgphJjZX8fpCXfd8SpKgkx2rjAoAOF4mE3JbNSTTHvIpIcXlZhD4ogyi0jcYkhtBZf+9GR223PcFo+1977jmbT7mE5CrcJTCNtFK1XovIJAV8tfaVExCyPtYTge+ZbJcxVLFqymfn3ztp6SkH7CUykWbTqPtLsapVMoncT2Pua9DV/F8RoHeniDE00w6d/K15apxXcQ5dK0Df37u73kKCUbAXDTktfQWhWZGQT/ZiOxdNZpJKSmImJhSkFEGowtr+YfR5zOjpU1WzzWSeN3pS5WVvgg1M2DkZBBh06hwZ1JK49HVyzC9rzCxpCSoL6xjZ/+7t80NrWTSjukbZeVaxr5zuV34zjh721A6B87EbKNlJKd8JTikZcWZsXXcxGAcIFMYocGkSa7CF0Ri2IYEsuUTBxTx02Xnk5lWWyLxzvryL2JGEawP+2nIeYWldoSEpTpL7ToIjO9tO1y76yw6Ecps3TpRv70xydpa0uTTNrYtsvixR/zo0vuKloMJGQ7ENqJkqFfHFilpsWyenWjL7ZbbMVEg9liI9MeVmMaq8VBAKataUehKyI4Q2JccfWXOexzu/XoeGsb2wPR9uAYnkI4HkbCRia7SO1QGi0lMrOwbpnoyjhadr7wDVPS1pLs2RcP2e5sTj6L0oW/Y08nWNdy2wCMKAT8v/OtfQFDhRBzc165D89DihymEUAIUaytu/793V5SlJqNAFjX3gwq0KIqINCp8qUMEZIgOEuS8GwsQ1AeMbntyDM4cMSO3R5La02DnQje5Dd2rhyVHUE2GCzzgUzUcOFcRmlNWoW6iaXKk7PexXML03damtp5/sVFAzCiEOi1nQjpJ0rNTiRSNmnHLR71FCBtEA4YCTC8jpDdRNrGkILaqjL+/v0ZTB7bfdGGTc3tqOAGL52O6Ktgl906sfz1cl8DSxuFpqa9q/lISEnw0ANvFixoaKVZubqBRe+H1QgHitBOlAb9FYFVUloskyaNQGzJ4gDS1Qg3SBWR/vK61mC7irTtcvH3bmfTx5t7dLxYPIIqiwYL+aJTarpsdyhQ2tUa6Si/VHpmWyDUqGOdRcENw2BsWK2oZLG9jSidKtgugI/bHtr+Awrx6V3Oer3WenrOK7eiXxNBpb8ctlQeprv+/d1eapSUjQAYX1HrVw4s0tYxTxAI2fFeCIFCk1YezXaKk574B212zyYFEUN2MRESgSOt81alAJUndJLjxMplh8ohVFrRHo0jZPuzqaENxy30Uiqt+c99cwZgRCFAqG1SepSUnSiPRSmLRbY4IRW6o+IfEGhgCTylsV2PDZvbOPPnt+MW+fvPJ2qZ/rzAzeyr419BJrqri8HklsDNzCdyZnwC2HvnMd2OIWTg2LihGaUKf79Kax6etWAARhQChHaiROhzB1YparF89bxDkXHDF0PMa9OAKosg0l42r9wrL5QG85Tmigtu7NHxPn/y3himUZgqGCDSbofR0dqfmRQzQkKAZQQ/CqIxi29feSqmZRT2DSkJKqP7+mlIeWgNCXdj0eiskE8kjRRGPQ0B0FoXS93rrn9/t5cMpWgjAH407ShMQ3S9XKZBmqrDeZXfLiCpHC5/5clujyWE4OTxuxYV980eTnU2E10/BHXswBCCuGHyq/2P73YMIQPHHlNGQxcCyivnrti+gwkJKUFK0U5IKfj2qYdsYTk8SKHoRhu9viXBbY+/2e3xqstj7DlhdJdSV5lD9ohM9ULANCRlsQjf//LhPfxwyEAweddRxbPPNMxf9fF2H09ISCnRHxFYJafFMnnnkfz+L+cQHV3tr0LQ8VJREzyFtBW4HioSCK0XYdmiNbT0oArgl846CCNuddmupIS0C46HSLvIhNOlcdKAihgM22kov73jQg4/ca9ujx8ycFRGp6GE1ckfqTUoBGpwFP0sSfo65FdrPZ/C+1ot8Gxv+vd3e4lRcjYC4LOjJnHtZ04jYmWWMvxXxnkkzEDDUBNMUArv2hp4asWSHulT/O/0o5Gy634aX1BeBdUQdXcL9kIxtWY4jx5/HgeO2KHb44cMHJ/ZbyLS9nxpgwyewmhJYxVJLQzZPoSpISVFSdqJGUdM40dnHuk/zQVaVJn/gKwPK0sXIb0PzO5ZBM0vv3rcFlMWe+zAyrFJ06eM456ff5UJo8OCEaXM4UftBkbnwAstIF1tYEQHRQ22kiS0E6VBf8yoe6zFEogyzhVCzN20aVM/DKWDPabtwF9vOh9dFcWrjOJVRPFqylAxE9mWRtiOX1FK6c4PlTkYbSkeffBN3n1n9RYnKJ6nSJhdWxzheRhtNkZzCtlmI9IeuIVRWBnnlTusktVph1fmLe/Vdw/ZvtSWnYGjLTKXkqslKR2lNn4wUkS630FI39M/oov35ulxHA1cn3kjhJiQ177F/tuhvVTYKr2u7Wknjh07lZsOPQPT9KOthKExIh5IjXYl2hVoJdAUpvgBoMFxFbd+MI9FjRu2eKymdMIXNelKyT24BrX2j5etlFukvxHxMC3F4ta1vNMQamOUOvGyKAeMqMFqaAfXA9fDaGinfEMrh58UVqsdMEJx3lKiZO3E6UfuxWVnfy7rWMpOVAG0Rnj+q6jYutagoS1pc9/sd1i1YcvSJMs3NGZrdnTaTeYHQ+TkFOa8ihgoEWg4vr5oJWs2DbgvMKQbJu0wjKq9h2NXSZQBnilI1pmIkTFOPrRnmswh/UBoJ0qC/nBg9ViLRWt9Q0ZfZtiw/tV1Ukrzt3tepn1UOXa5AckEtLYjNm5Gl0fBlCAEMu0hnJyVUaXAU1hL1uEBd975Bpdfchffveg2Uimn6LHa29MgBF55pCANVpVZBbpYAiA4ZmYdRwPaEGir41d0xx2vcu3/PkDDhrAKYSkzrvILRKTK/m5NoYhLwdS6KwZ6aIOT3uSr92DFRGt9ITAhqJD0Q2Bpnl7HDHL0Orrr39/tJcRW6XVtTzuR9lyueud5PKVRjvDvya4AD4Thz1ByMjE6pfhpDSppIKTgN289z4ynbuei2Q/i5WseBqxo24wis7Pci86/c/gZ6CIrZSIEORa740KVpkIaOpuOeNmb/+H382bTnC7U4gspHY696HBad64iNcwkOcykfZdq1LQRfO2SMP1zQOgnOxHSa0rWTrS0p7j5iTmFjiUFUuU822du/Z1ywf3tKdflD/e9yBm/uJ3f3fNCl4vi76/akD1GwWW3xdxCOgyTnwbQqevFf36I25+aS8ouPo8JGXiEEJxx4O5EEoCQCASxJsVoGeeMI/ce6OENTkI7UTL0RwxiSWqxzHr1A+bMWU600Ua6AqqrIJlCSOk7qaQ/MxCA1ZxGWRJlpxEpG6MpgXA87B2HYzgejuPx4ZKPuf0fL/GNbx1ZcKyamnKEBh2zUJ6HQKCFyDrJhFLoPKkVAWjbRVVGwDB8Ifm8CoRozWP3vMFLj73F3564lLoR1f13wkJ6hdaajxouBbxOEmiGgKbkbOLWVwZsbIOafjIgWuurumm7qsi2Xu2vL9pLhJK0EQA3L57Dhy2bEIZGBJnk2qVjpT33lpyZG3j4outBxSllOaSDn2evW8Y9H73DWTsXPmzuXjPS363U2c9mEX7klRCa3GmHEIChkYbni/tKXSC16GnNde++ziPL3+eJU86jIhRzLzkc1+OXd81CGx0zUA201UV4Z+V6PrPnhAEd36AlnGiUEiVrJ/70wEts2uzLiXS6/+atVQgALwjAELrTZNbWCuH4bx5++V0O3m08n9l9fMGxdtthJAiBNsgurGcPKQIPWldOLC8YX05aY6a77Xj89cGXeXbuEm6+7MuYRihxUWo0Nye57eaXOv3+AFpXtLBmdSM7hQW9BobQTpQEfX7HKlUtlof/Mx82JpAK3zEkBZTF0MOGZJ1XGQQgbQ8z5WIlPWQ0hqgsJ9KYQCT8VW3H9nj6iXcKjuM6Htf/6lGE42G0phCu9p1RgfMKfK+6zhOU1wBKI2yvwHmlM4NCgOPR2pzk3uue67uTE9JnpNwV2N76gu1KJ9nYdvcAjCgEwpz1UqJUbQTAXR/Nx8HtFPUkTI0RUV3V5PBT/IT0l4MsDcjsgnvSc7jzw7cKPpNwba588xnfAaYyKSA5qSCQM9kpsBRFnVf+Qru/wdOa9YlW7v1wYW9PRUg/8taStUWrSyXTDo++9N4AjCgEQjtRSpSynXjijfdRGr+6eW61vyKFZbO+K9WxQQs/UitjKJK2w8OvvFtwnM2tCW59KkfsvZNhCo5UzE5oDX7mO0IVjimD6yk+WrOJlxcs25qvH7KdePW1DxFFHjwcx+O55xYNwIhCILQTpUJ/qcDdK4SYkZO+MuBaLA2rmwq9piLjKCqyhCEEwlG+gYLsZ+XmdryIBaaBV0Rs9fr/+zfPPDAXqTXK8tNJcDwwgtrrInBcxS2Up5C2h/AUwlOgNEarv2SiyiP+Cr8UaOkbIdmWRGhfVHjeix/07QkK6RM0XSsta9ztOJKQToQGpNQoORsB0OwkCrZlFrm11kUfJnOWwzu2adD4DianSArhf734MK+sX+FPajJRVrrQDvkOqY5l+8zxPVdimMqfoQT4xWwF2vG9YI5SvLBmGV/fdXoPv33I9sJTXc8q3S6qE4ZsB0rATgTp38sI0uW01jdsS/8+aJ+Anw5fp7X+UW+/Vy8pSTvhuKpIFVr/Xt1VQFR+tp8GhAfa8OcFjtv52VFrzYVX38/KDZuzJiJTRETn7LNTfmEQ5SU9f86gwQ9TyGQwFhlY2vGYu3g1h+89qSdfPWQ74nkdVY9z0Vrjet1VdQnpN0rAToT0jwZWSWqxDK0sK/68qAlmKEWuyEjxSoIikcY0JYccPqXT9lTS5un73ySpNe7QcrzqOG51HLe2DO0GQu2eQhuC5Kg4iYlVtE2tIbFDBWjdoZnUksJc34Jo91MZtSGQLUnMnAqINcOrensqQvqRuDkRUxamdkpiDCs/dQBGFBJSepSijQCojES7jLTqelbS9dNMzDD5wk6dxVbXtjfz6oYV2NpBWiDNQMfKUnTMNPxlO8PysKIKK6oQMldMQeC5Bq4tcV2J5wq0kmhHoL0Osz66vLKH3zxke7L35DFFI7DiUYvjD5o6ACMKKQWEEL8Flmmt7w8cSRPzCnNsVf8+aD8K2AeYSHFR9X6lVO1ExCxeqRwK57Ya0NJ/5ZJrTuIRi+P37zyfWLDsY9Y1tODkO7Q7r5NkI7ow/AV54ZFNZczqcAU1onTe5zMMq6no8vuEDBwHHjARrQsXNCIRi89+dkqRT4SEDB76rQ5nqWmxHHXUbix5by3KyzMvAnBcMP1ToQUoywABwoxBIl3g5TNNSd2wSs6/8IhO21ubEmgpcWrL8vSrBF5VHKuxHTTYtWWoaIcB9Kqi2MPKidQnslZGlUfwaspAgLWsHlMLMAx/mR3NGRcVam+FDDxCCHYeeg2LNp6LxkPrFFKUUWbtzMjKrw708AYv4YpJyVFqNgLg+HFTueXDOcUbc5bWs6l/EKx6F667R6TB5OqhnDulcwTUuvYWTCmxc7JAMvuUlkI5fh6KYSpkzjzJtDSuQ961nIkRFqg0QXp8RmtF8LWp+27dCQjZLsSiFldecBw/veEJlFY4riIetThg1x04ct/JAz28wcvA24mZeVFOzwA/Arpy2nTXf5vatdbPAggh9mMAHFjBGErOTkzfZSyvvLuiYLsGMAPdRIL5hElHFFQRvfSoaTJ9l7Eclfd3v66+paMASLG8RDocUp3siBkcJzejUOBraIHvzMrpL4XghIN27eqrhgwgQ4dWMnPmEdxwwwt4nkIpRSRicsIJezJ1yuiBHt7gpZ/sRAlG33bZHlSCnRm83Q94Jq99Bn7E7H3BptOB32qt+yxfud8cWKXGMcdP495/vUZDfRteZkVDKUg7YJmAQBkCFQtOiRBordEjqhEbmrP2wzQNTr/gcM48/7NEop1PX+2wSr/KYDEEqKiJcDzcqkhBsz0sjo5Z4Gk/3TDQyJIpB8OygvlRh9WZtMe4bTofIf1HVWxf9h3zApvaHsFWG6iK7k9N/HCE6HrVLqT/CHPQQ3rKzCkH8dCKBbQ4qY7MDJ0j5C5AuXSeAWR/7nBiGUJy5X5Hc/qkaZh5GouTq4eS0nbBsbOBwBnR3SLx0VJqlBJZU5D5jHJAWH5qAUHaoTQ0O1V1WbQrZIA5Yt/J3P/rkTz52vu0JlIcvMdO7LPL2OJpqiH9zjbYiaFCiLk572/obuJR9PhC7FNkcyNwVG/6b2t7SNf894xDmf/hWlJpp2MuGyw+axO83Ec90WEfPAOMnMwvUwp+c+EJHLbnhIK/+yk7DPejr7q5HRTcLqRAm6CV7pBTzNgLD5CdI7FMy6CmMt79lw4ZEE47dTrTp+/ErFmL8FzFIYfszC67jBroYQ1a+ms+EUTDvpmJMBVC/DYvfXqr+vd3O3B57uKHEGKp8P0mGdtXi29LZgLzgW/0pfMKBpEDK14W4a83n8/t/3iRl2d/QDRmsnZdE8SjGLbrTwJiZmdrIAQ6YqAqohhtaQAOPnYPvnrRkVljo7Xmmdnvc8f9r9O4uR1jSAzSxXOTa4ZVsjFRqLECYMRNhnsG9U1JlKHB00ilsTYngRxR92DGcu4xv+eX13+N2uFVjBpbGz70lhiWUcfo6q8P9DBCMhQTfwgJyWN4vJJHjrmAP777Aq9sWE65EWF5S1NW2UQHkU1dzyr8fhftfiBn5lQeVFpzx9I53Lb0DVqdNDHDIKkKNfEEMCxWRoPTWnTvEVMSVXFa3KSfOuL5DjWRseRKZveklObQB6/jpiNnMDRWzpiKMO281BhZW8m5J+w/0MMIydA7O1Gvte4LoblafAdSLluqttdd/21tD+mCiaOHcstlX+ZvD7/CwmXrKYtZrN7U3HH5FE03F2BoX/dQ+11+/NWj+Oy0idkutuPyj6fe5JFX3iXtuEiRLTxYQFV5lOZEumibGZFYWpKyXV+7MZOdLvEroueMM+16nPHzO/jVBcdRW1nGsOownbDU2GFcHed+7dCBHkZIhv6ZT5RU9O2W2oPoq/xSydcH7dnFG631RPqRQePAAhhSU853fnA83/nB8QCc8KU/k6hvR2CA04VwqpSoihjS9rAq40w/Zg8Aku1pIjGLex6Zyy13v0Iq5RBZ2YhMuDC2tmBZJBqzOPu8w7jxj0/SUJAkr6mrLufc8w/iuefeY8Hry1AJB6E0wlV0Wm4P/k0lbS752k1EyyIMqS3n8qvOYMqeYVRWSEhRwgiskB4ytnwIVx/wBcCvFrj/I1eTsBVaFZdK9AkaBJRFDA4ZvSNaaxKuQ9y0+Nnbj/PoqgUkXAcn4ZtdYRWunkcMg5m7Hsgf3pmNg11wiD1rR3PKjnvwwLKFLKhf7wvEB6v9HdpXHbOTTal2Tn38NixpMr6yhusO/wITqsOorJCQogysnSiWotcIfrqG1jrfubTF/tvaXuR4ITlMGjOUP3z7FADWNTRz2s9uwbYD0W0deKiKLCxr6UdCWRGTfaeMQylNynaIRy2+d92jzP9oLWnbJVsPqMh6STxiccohu3HnrLdxvUJB+aP3mcyUMcP592uLWLq+wa+YmKl6mL8/Acs+buDsX9+JNCS77TiCqy44kaHV5X1xmkJCPn30sZ0otejbHoynFjhKCDEhJ6qqiUKnVr8yqBxY+Zx1+gHcdterpJIuwlNIu0hlEQAp0eUxZMxi2cJVfPXnD9K4sQUrbtGy60hcpTEa2jEb2kFpZHsaVR6FIHUkFrM4+KDJnHjavsz+99u8v3Q9LUOjKMvXOqmSBjrl8afrnyOZcqDchDITqylFNhK5wBD60QAp22H9uiYuv/AWbn3iB1QNKeu/ExYS8gklTCEM6Q1lZoRTxu/Bo6sWYCsH5QmcVNdp4sLQGFLw3MplfPOZR2mx01RETNzyNjytcFNG1tEkTC9bQwQgblicu/N+nLPzPtz14VusSTShDDeza4bFKljSXM//vf0cSc8B6ZsY7Ykcx1qhnVBo0tpmSdNGvvTknbw64yIiRpjOHBKSzwDbiSYCrZEctuRt7q7/traH9JDRddXsNWkM85eswbX9tD9d9BYbRD9JP3vjnlnv8PDLC0nbLpXlUdpsB8fzfCmRXOOQI7EYi5h8//TDOGLvSTz2xmKaWhNBlJZGIBg/ooYX5i3l+bkfkXZ8L5gIhN63FDfiugo8zTvL1vGtax/knh+fHWZ2hIQUoR/sRKlF326xPXBa1eS1Hw08m7tBCDEz2E+PNL22ln6pQvhJ4cwvHsB+e4/3b+qyixu19h1SIulgN7Tz2C0vU/9xE8pTJF0PN+0QWV5PdFk9wlMIrTHXNGCub0K0pzCSac47+yB+/OOTkFLy6xvO5dyvf5YdbIPyBpuKRpd0i0NDQ5vvvALf2ghwK6PorsaVQQgwBJ7nMeuxt/vy9ISEfHrQvXiFhABX7HUcU4YMxZAa0+oiUhfQtkAlDVpbFP98dy6b00k8rWj1kriuwkmYKMcgswSu0kZQNRDwBL8/4CQu2fMIYqbFw8efyzemHsgQ6VfPNYRkY7KdFiftO68gOxcSPXmaEqClJuk6PL926baflJCQTyN9bCeC6nn3dfO6PujeSGFU1BCALqKhuuu/re0hW8HvZp7E8MoKpAq0prpCAQI8rbnvhbdJpBw8pdnclsJxXYSjfZ0dQGjt5xAG15ohBH/779P44mF7UltZxt0//gozDtuTasvCtAVRF1au3UzKdrPOK+jphNvXTlQerNnUzOLVG7fldISEfHrpnZ0YKoSYm/OambPH7qJl8+nX6NutHU+w7Sj8FMIMc4Fncyrc7rulirq9YVBHYEkpWLU6cDIKgYoayEC/SoDvvEo4yLSXXbnwDAMiFtgOwvGILm/AaE52jsjVGqM5gdGSRAq483u38uK1T/C1K2Yw/Zhp7HXIztxyzxt+QUGl8OJF/IhCoC2BVxPHbEwGob8dR9GANiVCStCadMpl4/rmvj9JISGfdEIR95BtwJSS1YnGrMMoWuaQTvhRWAK/2Ib2gmV1gmJTObmGWgnspAWqMHdDewba87f+cPbT3FL7Dj+cfhj7DB/N9OFjuG3pG/7+MtWo8tfQBdlKhX6X/GqI/tOTEP5PrvbYmGjb9pMSEvJpox/sRCB425WGSX7f+UKIfMdRLXmr2j3tv63tIVuH0NC4ud3/GRAuaDOTWh7cgHMUQZTWKDe3VKBGBLKIBWVBguoeytNc8pdHmDZpDN/+4iFMGFPHxGG1eLaf3+4EIu3FUhcNAV6mam2emciMwrdnGikFm5rbmbqN5yQk5FNH7+3ElrQSSy36dmvHcyPwOa31/MyG3J8DngEup4f2sCcM6ggsgA0bWjreSIGKGaiIREcMdqiIYbalO08ZhEBHI344rqswmpLFL+ZgAuN5ivbGVj54cylXnv5HXnzwDe6753Wc1hSyNYVM2F2qNBqG5OQv7U96eAXakB3OXH9JHm11/PqicYs99h2/bScjJOTTShiBFdJLkq5Dwu3QozJMRbwyTSTuUFamqBTxHPH0XPwLSStRxHnVGaWh2U7z2vpVnPXE3by5YQ3XLnqJhOP42ltb0N8aGitnv2HjEEbGyZV3EcuODwpg72Fjev7lQ0IGEwNvJ+7NW6U+Gl8cFwAhxIS89i3274P2kB6yYXMrptmRNygVSNt3ZNXGYkSFzL0VF9Iho5ilwGIoTXNbipfeWcp5v7qTles388/H5pBKu91ek1PGDWdYbTla6Eyh2qLdhQbH9Zi6w/Duv3RIyGCk7+1EqUXf9ng8QogfAtfnO6yEEPn6XU1AMW2tXjPoHVhjx+SlcQoBhqS6rpzmDcUrQSEE3oiabgsRaK1RLR2r3emUw3WX3MG8xxcgG9r86K6kQ3xVC2ZzqtMMxTAkhxwwiR2HV4MEe0Q5Tl0ZXlUUd0gMpzaeYwwFZRVRdt9nx60/ASEhg4GBn5iEfEIpMyNUWrFO24QA01LsUldLq128EhSAjPjhVXoLxkJ3ut40Sc/h52/MYmH9RrQSvgNM+04wnbfYEZUmp47fk50qahESpKWQpkIYGmEo/5WzGj++sobJQ+q29hSEhAwOBthOaK0vBCYEqYc/BJbmlVGfAVzY0/7b2i6E2Ccopz4DX7T3t10I/A56RtVV4XmdU8wFYGjBruNGYBbTHRRFfyzeRevsYrnSkLRdrr3vJRo2t/tV1AUowzcV+XYiFjE59dA9GFVd6c/6JGhJJ0H33KCt6ZPHUlcZiriHhBSlj+1E4PzZqujbLfXv7/YMweLHfK31s8H7jAj8BOCZvHTDIcAy+pBBnUIIcOH5h/PTXzxEOt1R0jwaNbng3MN4+uaXWLJwDRBcf4b0X/irFKqiDKOlvXCnAnA9VEsbWimcnUfiTBiBNiXu2laije1gmZCzWmM1OwhHo0dWELEMamvK+f43j2LtinqshctxdxyOHlKJFzGQaRez1e4Yl4CmhM3px/we0xCMHF/H9396CrtODVfaQ0IgTCEM6T1CCP576pH85t2nSGX0p4CYYfKDXY/iux8/xcZkxg5oZEQhMqkjGnAVQhSuFUkhUFpnH26MqIMZ9VPY32tbTedyUcFTkBZoBVHTwJSSnauHc/Fuh/LEqve5FDN0jQAAIABJREFU+8OFSNMXEBYiKNdOzrqIJ/iwqZ6p//oDEcNgSm0df/jMiUyoGtp3Jysk5BNMKdgJrfVV3bRdVWRbr/bXg+PNB+bTWdskpAhlsQhfPmpv7nnuLVJ2znzCMrjwlIO58A/3dXTW2tfCyqULkXUj0MH1gnRDxyKYuWlmvfURElBWxz7QBCLxEDElhpQctNt4vnDo7mxoaGXh8vVoqfPyFAVa6+xix5x3V3LQRX/GMg32mDSKn593HMOGVGzD2QkJ+fTQT3biXiHEjJwFhILoW2CfnPYt9u/v9sBZVQs8G4wt0+dZrfUyIcSFedFaZwC/7dGZ6CGDPgJr/3134uc/+QITxg/FsgzGjBrCD797HCccuyfnfu9YDDM4RabhC723J2FDA2LtJqTjsvvBk4jGI9n9CQHx8ii11VFQivTe47F3GYWOmWBKjJSHFgKkRKRsRCLtv5I2VsLli0ftyc9+eBK3//Xr1AwpZ7dpO1A9YTTmeyuJvLyQyBvvY65r6BStpU2Jbk2j29M4LSlWv72G75/+N2697eXtfTpDQkJCPnV8aafpXLnXSYwrryEiDXauGsFf9v8ynxkxiUv3PfT/2bvvODeK8/Hjn9lVvd7ce++9F3AHbDrYhlATSAykQSCYL+mQilNJ+CUxLSF0Qq8BG2OKsY17L/jccb3qa5JWu/P7Q7o76aTrupPsm3deF1s7I+1IyPvcPtPQReDOQXeZoEukX2B5NSyfhm4XjMjuiEuv7i/SEGQ63bhF4M7DnuzD5jIRGoTluoREt5voDgvdIQMjrBDcPnAyj593DS/Puhm3zc7FPQbj0AWWETin5dMCo7cqR36ZgWSYicTCxGP62HzqODNfe5y3Dm9vtc9RURTlXPXdq6fy7aum0i4jBYdNZ0Tfzvzz3gUM7d2RG+aMQROiKnlVuRyIDI6G0jRB9w6ZOEI7tnWNTtlp6MHruN9FIHkVTDRpVnD2ugTND5oR/NMPuk1wx+WTeXzxQv7w7UvRNY2Fs0aiV9b1C4RfIKzAur0i2DZhgmVK/KZFhdfgix2Huejex9jw5ZFW/zwVpa1ItNG3dZUHR1YtI5DQKgRygz+ViSwIJLYWB38eApbFehfCNj8CC2DCuN5MGNc74vipvFIstwNZ5g0kr/IKocIbuMgDGH6OfXmSXucPInfnMWS5lxEju3HZLdN5/m8fUGDacPgEssKPmVKd5EITCK8PZPjwYFnupehAHl3njkCvHOklBHNvn8Xzf/bBiXzwGmBagf3TIbCIr9cfNpoLQPpNnlvyHjbD5Ppbp8X6I1OUs0sC9KwrZ7dLuw3n0m7DI44fMwrRnCaWEbwh8WmBvwSv7pYh8VomfbIy2VecjyYFc7r254o+g3nwixUcLC3E9OsIzUTooV9UiR7c9TB0eoewm5zx+OjizqjqMXfqNi7s1Ze39++pnnJYeYdUGWU0C1FjERZpwvc+ehv/VLiyz9AYfVKKcpZScUJpBiEE180ZzXVzImdZHi0sxtJlYNdZAL3qSQCYEtplpYAQHMsrxq5rzJs4iIlDe/LbZz4kv6QcYUqkLXycltRAM2ts3SEBnwUatM+sHjmVk55Mv57t2LP/FCCrBmxJLfj84A6JwYaFveCiJf/lH3fPZ/yg7k37cBTlXNFCcSKRRt/WVR4cWVXnIkpSyv3UaG+sqQRWLUy/xdK/fIAfAW5HcJSUN2zkE1KSfzSffKlhuV04s9LYc7yEX9z+FFJK0HVspQa2fYWU90wPrl3lQjtRXrVNbk2r3tvGF8t3MmBYV37+/24iOdXFoCFdsPVtT0XH9EDSS0rshZ6QubUictcRmw5eg2d+/y45OalceLlatkBpo2RiTA1Rzj1nfB4e3bUGaTPRdZBm5ain8KV4dxecRtgCNxRJNjtr8w7x1qFdVb8HSVPDqNCwuw00XQYSWZWL+oYmr4Id+M/s3cDT27cyq1sfHp5xCQ5dZ2L7Hnx8Yh/l/sA0R8sUWIYefJ3AP4KIzal0ifTDPavfpmNSKpM6qXUUlTZKxQmlhRw6VciHm/dhieAI26pNZcMXwVq392hgp0LAZtP5eOt+Xv50W3UVKRBGcMqgEFh6YMRUTQKQFvzjzc/5+zuruWrKUBYvmIEQgjEDurH3eF7Iel2Bzg4ZvLcRkkCHfaXgFEOk5Lt/eoX//vJmenSsa0MyRTmHqTiRMNr8FMLanD51BsOojAwCPDWSV5WkRJZWAIFF2kuOFQXWNal+JkKC+2gJSIkv242lR09cCsDy+fF5DHZvPsyffxIYzTd+TC9yslLQ7DrYgpPbZeCPOlOgNg0jxckjD73d6PevxEae9yCbCl5jZ9EyfGZ5vJvTdqlF3JUWsLvoFPaQxXkts/bdBiun85X7DU6WldX4igWe5/cG+pR0m4WIlnAKMiwTr2my4sh+/rghMFX8sh7DcNvsaKH9GbLq/8DUsAwtahizpMU9q99qwDtWYk1Kyc69x3npjfWs+Gw33pD1c5RWpuKE0gK2HThetZZV1dKG0S7uId+nCq/B6aLwNXYrnyGClwjTGb5SYk0+n4nPb/L66h28uiqQCLtu5ihcdlvg/ME2CEuimSEb1lqy+n4n5MVNKXnw3x804B0rsSal5PPDh3lywwY+zM3Fb9VcRE1pNSpOJASVwKpFapobq7KHQgvsTCijBBwpQOohH6NpRg0mwm8hTAmaoKJ7aq2xq3JKiGGYfPHRbirKvOi6xt/+eD0zzhuAkBJbsTd8BFfli1kSzpRgChMj1YHUNbQygwrTYtWqvU39KJQmkFKy/PhfeP7A9/j01OOsOPEIj+77Gl+V74h309omFXCUFtDOnYLfqu4CD1yKa/nyBLvtoiWQKkmrOjBouqz1xsQyAzHHY/p5dvcWAFLtTl6ZdQtTO/QOLLPi0wm5WwJE4LihY1boWP7AYzQJfsGxsjNsyTvWgHetxIrfb/J/v3yVu378Ikv/8wlL/vY/FtzyTw4eyY9309omFSeUFtA+ZAF0WdnfUVcgqENlp3jggahewD2KynN5fH6eXbEJgE5ZaTx5zzUM79UpUGjJwDpY1EiGyZCvuZCV/eZs3neMr/KKm9R2pWlKfT6ufO45bnvjDX7/2Wf84N13mfXkk5wsLa3/yUrsqTiREFQCqxbJKU7OnzUYhzPQIy7TattSVkBayO4ctXWZE0h22QyLSyYMYMzU/lWvDcHkFVBj5gmeisBugxnpSfz0/y5jwazhaLUk3qUA6XQiDBP9TDlGVhLSoaOV+vjtD1+guDDKjolKi9hfuppdxSvwSy+mNDBkBYZVwZtHf4Ylo4z5VlpM5S98jf1RlPr0Ss1iSGZH7JoemMltq6NXtM7hsiF1JNiwcXPPyfRPa49Dqx7hJWVwmqK/OnSXG76qv3dNzuDJ869jYmaf6C8fXGweTYIlkH4RmNKiSfBrfGP5y1T4jajPVWLv9Xc3s3HbYTxeA8MwKa8wKC6p4Ge/eyPeTWtzVJxQWsrYft3ISHGjBYfHSr3+59QpGEucdhvfvmIK7TNTqtbNheA9s07YVMAzFZ6qv/fv2o6n7r2W7tnpiCghq3JtLJDVyynqILXA7Mc7H34dv6lGALWWP61axZ68PMoNA59pUmYYHC8p4f4P1Gi41qbiROJQa2DV4a4fXYJpWaxauRubzYHVtwuO04WYhh8k+Aw/VodsZMgC6tJphwpf+L2KgLkLJ/D1++aRluJCCIHh8/Pqk5/y3ktrKTxdgs/nDxvSC5DVLpWM7PCtaz//aGfUtkrATHWA7goekAgpsdLd6F4TX4XBvd94nKWvfb9qlJfScrYX/Q+/9EQct6TJsYoddE2KXAxaUZSzz6NTF3Ln6tf44vRhbLoGuobp1REEplz4LD+WblVd2oUI9GhXrV8YpAF3jzifGweOIt3hBqDUOI9/7P6MNw9vI99TjscDpscW9ryxHbpEtGndqdp2jJJoNqvq6WHr9QooqCjnjhWv8+8LFjT581Aa7u1lW/F6w6cMSgnHTxZz/GQxnTqkx6lliqLEiqYJHr9rAfc+/jZffpWH5hDYhYbhs7DpGoZpYhhm9GVBqnq3A3RN8LObL2D6yD6kuJ0AXDllKI++sZqPN+yjsKwCQ5NIW/hzpgzuGfaypRVevso7E3U9XgnIsJFdgZRW5aa2+0/k8+cXV3LvdTOb+IkojfHGrl34zPCOb1NKVh0+jNfvx2lTt/JK26O+9XVwuuz86FdXc6a4gqLCMjp2ymDP1sP85o5/U1ZSgWazQZIr0CsuJQiBcNqQfhOC62cJoOeATlywcFxV8grA7rBxze0zuOb2GZz8qpDvzX8ET7kXw2ei6Rp2h86dD16NEAK/YfLB85+z/MU1FO85FhzxFT7z3XIF18eqSk4JhGVVb0LlsnNo/2k2rs5lzOS+rfgptk11jbJSI7DiQPWAKC0kw+nmqenXkecp44zPQ/eUTD44tJf7Vv8P07LQBGi6wJKy6mto08BvyZDvpWBix27M6davKnkFkGJ3cu+wWdw7bBbb806y8O3n8WkmhmVh1zQcuo0HJs0CAiOxntmzibcP7sZrRv/CCz2QvArtw5AysLBwYEaLZOVX+9lXnE/f9OxYf1RKDbWOYhB1lCktR8UJpYV0ykrjmcXXcaqolAqfQbecDF78aBOPvLoKDYGOCIx2CokTmgisDFJ1QMDsMf0Z0bdzVfIKIDs9mftvms39N83m850HueextzD8JqYlcdh0kl0O7rhkMgBFpRU8/+EmPtmSizQlMriofGgSy6q8MwwNFFZgJIkUgUXkX/hoM4sun0x6sqtlPjClilnLdFMpZdXi+0orUh95QlAJrAZIS3eTlu4m/2QxP7v1CTzlwSkbPi+yqBThsCE0DXx+bMlOnDnplJd6cLkc+P0mJ/PLuH/RU6RlJPHA366nV7+OYa/foUsmS9+6izef+ZztGw7RtWcOV9w8hR59OyCl5GfXPcLOdfvxBqcT4vVDu0xCu2akQ68RbCSa16yaxy4Aadf58Xf+w9U3T+Gbd16gRmK1oEHpszhavi1iFJZE0tk9JE6taqPUEF6lFeS4kslxJbOj4CR3f/4OHrNyZI0Ef40voC5IceqUGwapdiflhp+t+Se54t2n6Z6azpMzF9AlJS3sKUNzOvD+1d/giW3r2ZF/iqE5Hbh16Bi6pqbjMf1c+e7THCopCjlv2H1P4FGU5FVVBT34wLS48I0n+Mm4mXxj0NiYfDZKdBdMH8x/XloTGIEdIjM9ia6dMuLUqjZKxQmlFVSuh/XZtgM88uoqPMF/+7K677nqD03XsAsNr99PmttJqd/Hp7sOsGJ7LkN6dOBPt10WkUCaPLgnT9/7NZ5dsZHDp4oY068r104fSVZqEkWlFVz74DMUl1bg8wc6UitHfVXdJ1SePDRQmBKtxt4SUoML7l/Kr78+l9mj+8fuA1IiXNi3L2/s2oURsnC7JgSjO3fGZa9jETQl9lScSBgqgdUIH7y8DtMf0itq+AOxJuSXT7Okgsx2KTz8+p1855q/Yxhm1W6Gngof933zXzy7/F4+em09T//hPfJPFNOxezbfuP9Sbr7rwohzbv5kN7s2HKhOXgGa4cc6dho6ZIOmgWkCjmADJMIwEVbgX1hYisqmYXkN3vrvOvoP7sK0C4bG5oNRIvRPm8aeMys5UrYZQ3rQhR2BxrzO92PTHPFuXtujAo7SSp7ctR5f1cLu4SmkSn4TRrXrxndHTObry/+LYYJhBq7x+4rzuenDF/ng0lt5bMc6Ht3+BUUeD/0zc/jZhJn8YvKsiHO+uX8nh0uLw5JXULl4SfDmKGSqiAzr1RehfyB1MP0mD238mOE5nRjTLnKKohIbCy8fy2dr9nHoaD4VHgOnw4amC35x76WqgykeVJxQWsm/3v2iOnlVeTC0cwGwkFw+ZRCj+3flgWeX4ZeSUk8gTmw7cJz7n3yXh++4nH++/jmvrNxCucdgWJ9O3HvdTH5+wwUR53x2+UaKSisw/NWzADQhsJBVN+VVbamMEcEdCiOuRhb4Kkx+8p/3GdyjA52z1XTnlnLf+eez9uhR8svLKTcM3HY7Ll3ntxdE/jdWWoGKEwlBJbBqUVru5fVPtrF+1xG6ts9gwayRnDxagBHaU1rL0M1jB/J45+V1eL2Ri+Eahp+lv3mL5c+uwlsRKD9+KI8/3vUMuq4x+aLwtZG2fL4XT5k34nUEQFkFuFz4k2yIUg8y2YXwVweiqL/+6hpej8HrL6xRCawWpAmdy7o+wNHyLRwoXYdbT2NQ+ixS7DnxblrbpAKO0gLyvaW8dOgLdhR9Rf+0DlzTYwJHSoqxGjCsf2fRKZbuWEuFGd61bUrJ8bIS7lv1P945uKdqUfXdhae5ZdkrPD/3Wka16xz2nBVHc2tffD14I6I5LKQpQvZKr2PDEQ28pp9n9mxSCawW5HLa+cfvr2f1+v1s2XGE9jlpXDB9MOlp7vqfrMSeihNKCziWX8yLH29h/4l8RvTuzPypwzlVWP8OcqYl2XbgBBtyv6pKdlUyTIsNXx7lvn++xdrth/EagfIt+47xrYde5PkHbqRru/BRnKu2HQhLXlUSwaVGLET11l7Bvvpoi7xXPc8Cv2ny9he7WDR3Yr3vR2maLLeb92++mfe//JLtp07ROzOTSwYOJMWhOsPjQsWJhKASWFEUninnhl88Q3GZB6/Pj64J3vhkGzcOH4gryVE9hbAWme1SeeeDrVG/5KZpseK1DVXJq0pej8G/fvdWRAIrMycVh8uOzxPl5iS4w4hMdoLfDCSv6mpYZZQyLUpLIhcYV2JLCEEnRxKZzt34jb2Ish2YKbeh29QNYWtTQ36VWDtUls+Nq/6Jx/Tjs/yszcvlxYNrmZk1ji15x/Fa/jqf3zk5jU9P7I9aJoTgjQM7MWqsg+Qx/fxl0yqeqrHIeoekFHQhItbKEEIigxNDhE0izcrhWLVHisqNCi0kRd6KOt+D0ny6rpEjJIXLNrPn0GnK1n/JFd+bS0Y7NaKhtak4ocTa1gPHuf2vr2CYJn7TYt3eIzz30SbG9OrCiYKSOjs7NCHomJnKxzuixwlNE3y+/SB+IzxO+Aw/z72/gcU3hI/WzU5PhiOnI15HVIUFibQJMKpX2a3rnkKIwD3NmSid7EpsOW02upY4Wf/OCdYU7kefXsbFV4wmKdlZ/5OVmFJxIjFo9Vdpex5/cw0FZ8rxBns8TEvi8fl5fe9+2nXKwO4I5v2i7PzgdDuYunACXlvInPYQfr9FRVFZ1POePFIQcWzalePQtCj/mYQAp7N60rrdVuuIsCpSgmEiTIsp0wfWXVdpNsO7huK8i/GWv4xpbMJT/h+KT8/CNPbFu2ltj2zCj6LU4fc73qXE8OILJqoMaVJm+vjSc4A0pxO7plHbr/9u3cakTl3R9ehfNq/fj62W8Ly3MC/i2A0DRmHXou/NLmxW1W9cmt6wMCEtgSYFc3sMqLuy0mwfvbCKH878BZ+8tJpda77kpd+/yaLh91BwojDeTWt7VJxQYuyBZz6gwmdUbcrgNUyKyzz4pEmSy44mRK1JIoddJycjOVAe5bsmJTj1yOu+aUl2HT4VcfyG2aNxOaKPWxBW5WgrCfbq80W7jwmlIzhvaK+6KynN9uLTn/Pz+15izad72bn9KE89tpLv3vIEFRV1D6hQWoCKEwlBJbCi+GRzbtQdgEo8PhYvvZn535pG5x459BjchUnzRpKc5sbm0ElOc3PjvfPoOb4XpDiw7FrYxV8KaNcrh4zMpKjn7dAtK+JYRk4qDzz7bdKzU3CnOHElO0lKc2PvkIVm00ATaIYZ2KpEC9mnnRr/bqQMzGU3TITf4qobJjfjE1IaorTo/0BWAJVDtv1IWUbZmV/Gs1ltT1OCjQo4Sj2+yN+PjPJF2VNynDfn3cT1/UfRLSWdoVkdmdWlL0k2O3ZNJ8eVxG8mzSXD7URqwa7usNeRTOzcpdavYL/MyGnI/TJy+OPUi0mxO0ixO3Db7KQ5nLgcOpoGmo3qKSHR9kyv/KsM1rNAFxqX9xrc0I9DaQLTb/LX7zyGt9xXtZuU4TUoKSjl+d++FufWtTEqTigxVlLh5fDpoojjlpRsyj3Gsz+9nnkTB9E5O42RvTszaXAPHDYdm67ROTuNP9x+KeU+A6vye1bjz9mj+kaM0gXQNcHA7u0jjk8Y3IPvXjkVl8NGssuB024j1e3AbbcF9vFABG5UJNV9L8FhWOERqroszelk/IBujf1olEYoOVPB049/jDdkJo7P6+f0yWL+9+bmOLasDVJxImGoKYRRJLmizyu2LEl2Vgo3/eAibvrBRVXHTdOi/EwFSWludF3j4JF8LAneTsnYSnzoZf7A7k9Zbq68dSrOgnKWPvB62MLsTpedr993SdTzDp/cn2e3PUTutiNoukbvIV3Yt+s4H7y+gYoyHxu2HiavoCwQZGRg+glacF90KcGyEF4/wmcipMRu1zl1tJC09OiJNKX5pFWOZR6IVoLhW93q7WnrEmHIrxBiMbAfyAKQUj7anPoxKO8NzAeypZT3NfV9tVUu3V41+iqUXdPpkJTCL8bP5hfjZ1cdNyyTMsNHmsOFJgSfnsjFbXdg4cM0NKSpgZAkuXQWDRnP0PSjPLVzY9gaWW7dxl0jp0Rtz8U9BzKnWz92FJwk2Wanb3o2a08d4fUD20HCW4d34rF8gWkiEkL7/SsXdZd+AVb18RKfF6db/ZrQUo5+eRzTiFyTxm+YfPHuRr7z8C1xaFXblQhxQjl3OGx6raOrkpx2urbL4IFbwjdv8hl+PD4/qUlOhBAcLzjDys25lPuCyYvgd9Sh69xy4XjMCpNPtuyvWgMLwGG3cf2FY6Ke92uzRnHF1KHsPXqarNQkuuSk8+nW/Xy4fi9ul52XP9mGFRzaUHk/ITUJlZ0bUD30QQjKvQaWlOhq04kWs2fnMWx2PWK3Wq/Xz+rP9nDlNePj1LK2ScWJxKBGYEVx7ZxREcNsdU0wvF9nMtMikz66rpGamYyuBz7Ont2ymTimN06nHX+aE2+nZMyuqWR0zeDCGUOYe/0U7njwanI6pSMEdOyWzT1/vp4pc0fU2iZd1+g/sgd9h3VD0zT6D+nCHfddwhmvQXFhOZolEaZESIm0rECMkyA8BlqJFy2YvAKw2XRKispj9nkpUQgHteWHNZHWum1R4t5jIoR4CNgvpXw5mEjqI4SY39T6MSifDYwG+gDhK70qDXJV9zE4tfB/4w5NZ16X4WgiMrTaNZ0Mpxst+Iv+lA696ZOag0u3YXNY2N1+UpJgQGY2Uzv0YfGYadw5agpZTjcCGJCZwxOzr2Z0+84Rr111fl1nVLvO9M9sh6ZpTOrYg5+Pm8PuMycxpJ/K9a+EACllVR+HNED6dKruXAC7rnHGp9Y2aUmpmcn4oySwANLbqTjR6lTPuhJDTruNacP7YNe1iOMLzo/++77DbiMt2VW1C+m88YPITHVj17WqNancDhvnDe1F707ZPPituSycNZJklwNNCIb36cRj9y2MWMA9lNtpZ0SfznRrn4GmCaaN7MOdC89n9c7DCAFacNa5IBgfhAh0kOsCdBEYxhtsn2nKqDNWlNhJS3djWZGfsRCQlZUShxa1cSpOJATVtRrF5ecNY+eBk7z7+U7suo4lJV3apfOr2+Y1+DV+fu+lvPLWBl7/32a8Xj/TJvXn5msn4Q6O7rrw2olceG3krh2WJVm5Zi/vrtiOlDBv5hBmTBqApkX2brz7xkY2bziIGQwelcthCcDu0BjYM5s96w5VLxIpASkx/Sb9h3dt5KeiNIYQNpxJV+EtfxUIvQl040y+NV7NarMSoMdkUY1RTsuA+4CXm1i/WeVSyuUAQohxqARWk3y73ywOlJxmTV4uNk3HtCyGZXRl8eCGxQlNCJ6ZdhNL96zijUNbkcAV3YexaOCUqiTX7cMmcPuwCRHP9Vl+3jqylXeObiPZ5mRhzzGc16Ff1PP8Zeun7Ck6HVjgXVTflAgNnEJjYFpHNp86WT0dUgAauGx2eqSqr0ZLyuqYyZApA9j+6a6wRJYr2cn8uy+NY8vapgSIE8o55mfXzea7RSXs/SoPXdMw/CbTh/fm5tljG/R8t9POM/93HY++u4YVm77Eabcz//xhfG3GaADsNp07F5zPnQvOj3huudfHq6u2s3JbLjlpSVw7bRQje0fvAPnNMx9youBM1RqJoXccTl2jc046B6Osy9erUxZOu7qVbEn9BnYiOyeV418VYlnVFymHw87lC8bFsWVtk4oTiUFddaJYt2wbB/7+Men7T5Gclczc22fx9bvmRV9MvRY2XeOaK8ZxzRWNu7g8+Jd3+GxdLh5vYLjwlp1H+Xj1lzxwzyVVPTKV3ntzY9icaAhOVxeCW2+bydxLR3Ln1Y9w+nhRVT2n287NP7iQ5FS1TXdLS05/EMvMw/B+EhiRJX04k67CnbIo3k1re5oWcHKEEOtDHj9a37S/aIQQo6McLgBmRzleb/3mliux8daePWzYVkF+aRo5yW6+PWEsNw1t2E1JJbfNzl1DpnPXkOkNfo7fMrl11X/YWXScCjNwXf/8VC7X9x7P3UPmRNR/7cA2fFb4KJ9ghzoPT72CUe26MO/Nf1FiePGaJhoCh67zm4kXojci5ilN89MX7+anl/2O3M0HsTlsGF6DBT+8jPOuVtvStzp1Y6LEkGVJ3vh4OycPFyNL/eRkp3LHdVO5cELjNlHKSHGzeOEMFi+c0eDnlHl8XLfkOU4WluAx/Ahg5db93HPVNBacF77buWVJPt16ANOK/Aega4JHf7iQFLeTm3/7PF7Dj9+00DWB3abzoxo7HSqxJ4Tgtw9fz49/8DynTxaj6RqmaXHHXRcwaKgajNDqVJxICCqBVcP6D7fzm2/8s2p9qpLTJbzxx3fJTnFz+aLIC7Wn3MeWtblousaICb1xOO1NPvfOL4+HJa8APF6DzzcYQc9ZAAAgAElEQVTsZ+eXJxjSv1NYfStKsAFwOm2MndiHpBQXf331e7z34lo+X7aDjOwULrtxMsMn9GlyG5WGE8JNWva/MP1HsczD6LZ+aHq7eDer7Wn6EN48KWXjMhLRZRFIIIWKXNm14fWbW6400wvbt/HLjz+iwh9Yk+JUaTm/+/hzuiRlMqt35PW12OthzcnDpNgdTOjQHVszEkMfHt/NrqITVckrgArT4OnctXyt13g6JaWH1a/tq68LjSmdepJid/LB5bfy710b+Pz4IbqmpvPNweMYmt2xyW1UGi4tO5WHV/2ao3uPkX+skN4jepCaqaaFtDo11UOJsX+88hkvLtuEJ7h20bHTZ/j1Ex/QrX0Gg3tFXl/zisvYknuMrLQkRvbpHNFp3Rgvf7aVE4UlVWtjScBj+Pnjax9zyfhBuEPuVWTwf9E4bDrDegfuPV76xU08t3wj2w4cp0/nHG68YAw9OmQ2uY1Kw3XslMHjz9/OwdxTlJR46D+oMy5X0+83lSZScSJhqARWDf9+8NWwxdUBvOU+nvndm1z6zRlho7BWLdvOH+77L5oeDDISfvzw9YyeEn0qR302bD2Mz4hcFNjn87Nuy8GIBNbsucN56vBHeL3hz0lNc9O9Z2CnKneyk6tuOZ+rbokcXqy0Dt3WFd2meknipXLdiDiKNg+rAEAIkSGlrJlcqrN+c8ujnE9pBCklf/x8VVXyqpLH72fJqs8iElhP7d7AbzZ+hD0YO5yajadmL2RoVtMSRCtP7KXcjNw6WxcaX+Qd4PLuI8OOz+s+kBf3bcGQ1aOwBDAsuxMpdicAWa4k7h51HnePOq9JbVKar2v/znTtX/v6ZkrLSoA4oZxDKrwGLyzbhLfmwts+P4+9vpo//+DKqmNSSv762mc8/+Em7DYdKSWZqW7++YP5dMlJr/nSDbJi676whd0r2TSN7YdOMK5/9c6BuqYxYVB31u46HNYxrusaM0b1rXrcMSuVuxdOa1J7lOYTQtCrb4d4N6NNU3EiccR8foAQorcQYnFwEeGzzle5J6Meryj1UFHiqXp8+kQxS+59CU+Fj/JSb+CnzMuD33uakuKKJp07NcWJ3a5HHLfbddJSXBHHL5s/jr4DO+F2B9bVcjptuJMc/PjXVzer50ZRzjnxXXSxiOBOgCFqPm5M/eaWx93ZHCd8pkmhJ/o1/nBxeG5wa/5xfrvxI7ymn1LDR6nhI99bzk3LX8Swoi/eXZ9MRxK2KIvEa0KQ7oicGn7PiGl0S0knyRborXXrdjKcbn4/Mfqut4rSZqnFeRPK2RwnThWWVq1lGEoCuUfzwo59tDmXlz7ajM9vUubxUe41OJ5fwl3/740mnz8zJfou46YlSU+OvJ/48Q2zyUxxV43MSnLaaZ+Rwg+irK2lKG2aihMJIaYjsII7W2UQ2NnqrNSpV3v2bz8ScdyV5MSdWn3R//jdLUgZZVcI4PNl27lwfuMX1ps5eQCP/PvjyNcUgplTBkQcdzhs/PEfX2fD2ly2bjxETvtUZlwwlLT06IFLUdqqWC+6GNzR75p6qhVIKW8jMPqp5qioDIBaRkPVWV8I0azyetrc4s72OOHQdTJcLgoqIpNYXdPCe8uf27sZnxmZqPJZJmtOHOa8zr0aff4FPcfwwsF1ETs/2TSNye0jP9J0h5v3Lv4Wy47uZXvBCXqkZnJJ98Ek2x2NPreinMvU4ryJ42yPE+0zU2pd5qNX5+ywxy98tImKGiO1LCn5Kq+YgycK6Nmx8f1P100byZrdh6qmL0Kgk6NTVir9OudE1O+UncYbv76F5Rv2cvBEIf265jBzVF8caoF2RQmj4kRiiOmV6VzY2errP72SX3/9n2HTCJ1JDr527yVh0wfLSjwYUba/Nv0W5aVN23o8LdXNQz+6kp8seaNqMUVNE/zq3svISIuelNI0wbhJfRk3qW/UckVRiHkPiJTyZWrfQbBm3Y1CiJqJoyxgeVPqN7c83s72OCGE4M4Jk/jdZ5+ETSN02Wz8cPKUsLpnfB6sWr58pUbT4kSv1Bx+OepyfrbpTXShIZEk2Zz8c+J1OLToId2u6czrPoh53Qc16ZyK0iaoG5OEcbbHCbfTzvxZI3hlxZawJJLLYeNbV0wKq1taETklHAJT+8o80cvqM35Ad75z8WQeeXsVNl3HsiTtM1L42x1X1DpDw+20c+nkIU06n6K0GSpOJIS4ptaFEIuARQDdu3ePZ1OqjL9gOPcuvZUnfvYyxw+eJqNdGtfdewmXfjN894+x5/Xn9ac+w1MRvgug3zBZ98YaBgxoz+BJ/Rt9/jHDuvPWv77N9j3HkMCwAZ2x2SKnFSqKclZ5SQgxP5j4ApgDLK0sFEL0BkaHlNdZPwblZ41EjBM3DB+BTdN4eO1qTpWV0TUtjfumnMeFfcPXP7yw+wBWHttPuT88TpQZPt7bt4/eqdkMyGr8xg4Xdx3GzI4D2Fx4FLduZ3hmF7Qo0woVRVHagkSME99beD6pSU6ee38jZ8o89O6Szd3Xz2Bon/D1bGeN7suB4/l4a3SKV/gM3ly1nYwUd5PWwrpx1hgunzSEHYdOkpHiYmDX9mp5EUVRzglCytinEoPz1TOC02caZOzYsXL9+vX1V2xFUspaL/ZSSn6/+EVWr9iFp9wHUoKUWMUlyLx8HG4H3/3rLVz0jYZve6soSiQhxIbm7AaY1KGb7HfN3Y1+3ta/3d2s89YkhFgM7Ad6A0VSykdrlM2RUs5pSP3mlgshRhOYAjk/eOhl4EUp5cYYvd16tYU4YVgmNyx7gW0FJwJJrMpwawh004ZD11l6wRWc361nq7VXUc5F50qcUMK1hThR5vFx42+f50TBmbDRWkiw6xoOm85j9y5kYPf2rdRaRTk3qThx7lCTm+tQV0+FEIJ7l1zD2pW7efK3b3Jk91eYhWeQ5YF1UbzlPv7fXf9m5tem4HCptUYUJW5kYsxZl1IuqadsSZRjTXq9BpxvI7ARuK+u11DqV1ecsGs6z8y5lncP7eF361dyvLQE/BpYAhNJhd/P/338PquuX6R6xhUlnhIkTijnprqu78kuB8/++DreWb2TR15fxZmywPRyAfhNC79pseT5j3jyvvqW3VQUpUW1YJwI6XTOAqjZKd3Y+ole3lxqzkEzCCGYOGMQekEh/q9OViWvKmmaYN/mg/FpnKIo1dSuIUqc2DWdy3sNxqgAfDpY4Tcy+Z5yTpeXxadxiqJUU3FCiRO3w878aSMoK/chCCSvQm3bfzwezVIUpaYWiBPBkab7pZQvBxM9fYKbRTWpfqKXx0KdI7AaudNWm5XRLjXqcdMwSctKaeXWKIpSk+pZbzkqTjRMmsNJXkV5xHFLQpLaEVBR4k7FiZaj4kTDuJ32qAu3u532OLRGUZSaWihOLJJShs6IWEZghkRtm0XVVz/Ry5utzgRWY3baasuu/P48tn+2B0959a5Smq7RfVAXuvbvHMeWKYoCqJ7yFqTiRMPcMmwMv16zMmznQrumM7N7L1IcKoGlKHGn4kSLUXGiYa46fxgvfbQFr1EdJ5x2G1edPyyOrVIUpUqM40RwTdqaCoDZTamf6OWxotbAioHxc0dx/U+u4ukHX8butGP6TTr2as+Dry+Od9OUODnt2c/Wov/hMUvolzqZvqmT0YTaTTJeVM+6Em/XDR7Bl4X5vLB7Kw5dxzAtRrTvyO+nz41305Q42b7jKO8v347fbzFz+iDGju6p1kKLIxUnlHj7zhVTOJZ3hk+37cdh0/H5TaYO68m3L58c76YpcSCl5OOjB3l7/y7sms78/kMZ06FLvJvVprVAnMgikOAJVdSM+oleHhMxTWDV3NkqOAeyVXe2ipdr77uCS26bw971uWS0T6fXsO7qF9E2amvhe6w4+Q9MaSCx2FfyOZ3cA5nf/TcqiRUPaq2ShNJW44QmBA9MncV3R09kd8FpuqSk0TsjK97NUuLkiac+4eVX1uH1+ZESVn6ym+nnDWDxPfPU7w7xoOJEQmmrccJu01ly+yUczz/DoZOF9OiQSafstHg3S4kDKSU/WPkOHxzcR7nfQACv79vJ7SPGc+foKfFuXtvU9DiRI4QI3Rr10ZBFzTOi1C8AEEJkSClrJn/qrJ/o5VHeT5PENIF1LuxsVZRfSnFROZ27Z2G3N+7jSclIZvTs4S3UMuVs4DXLWHHy7/hl9RoGhvRwvGI3e858wqD0GXFsXRumbkwSxrkQJ06Ul1BmeOmZmoWuNW4vlHZJybRLSm6hlilng6+OFfLSy+vw+aqnCXk8Bis/3cO8uSMYNqRrHFvXhqk4kTDOhThxLL8Yw7To3i6j0UnpTtlpKnHVxq05fqQqeQWBy1OF38/fN6/lqn5D6ZaaHt8GtlVNixN5UsqxtZQVEdypL0RdvZv11U/08phQUwiDyko9LPm/l9i4eh82m44Qgm/ecxHzFoyPd9OUs8iR8q1owgYyfBFOQ3rYc+ZjlcCKA4GaGqLExqmKUr7z6atsKziOTdNw6jaWTLiEWV37xbtpylnki3X7ifZbsMdj8PnqfSqBFQcqTiixcvBkAT989G2O5hUhhCAj2c1vb5nHyD5qTVyl4ZYf2kdFMHkVSgjBx0cOcMPgkXFoVdvWQnGigMhRSxkAtYxWqrO+ECKhy6O8nyZRCaygh+57iU1r9mH4TAyfCcDSJe/SsUsWoyf3jem5DL/J42+v4ZWVW/H4DMYN7M4PrplG9w6ZMT2P0vrsmquWEoFDS2rVtigh1I2J0kxSSm5e8Tz7zuRhSonPMin3G3xv1Wu8duHXGZDRPqbnK/N7eWTPB7x7bDOmtJjefhB3DZpLjjP6rrfK2cPlsqNpGmCGHbfZNNxutdtY3Kg4oTST4Te59U//pbC0HBn8Pp3wlfCdR17lrQdvISs1tr8H5p8p488vf8LKLblomsbc8QP53hVTSHE7Y3oepfUl2e3oQsMvrbDjGoIku4oTcRPjOCGl3CiEqJnYyQKWN6V+opfHSuPmPpyjCvJK2LQmtypxVcnrMXjpX5/E/Hw/fvQdnnl/A0WlFXh8fj7bup+bf/0c+cVlMT+X0rq6JQ1HF5F5YZtwMDxTLdYcL0LKRv8oSqjthSc4UlaEWeO7YVgm/9m7vpZnNY2UktvWPsFrR9ZR6vdQYfp4//hWbvr873jMyB5Z5ewydXJ/ZJRrjKZpzJ45JA4tUkDFCaX5Pt1+AK/hp+ZXw7Qs3lqzM6bn8vj83PS753l/w17KvQalFV5e+2wbi/7036jXF+XscmXfIdhqWaJgTo/YDqxQGq6F4sRLQoj5IY/nAEurzilE7xrlddY/C8qbTSWwCKx7ZbdHX1w770RxTM919FQRn207ELZFrgRKyrw8/PzHMT2X0vo0oXN1t1/j0lJwaEnYhRtd2JmY/TW6JqltkONCNvFHUUKcKi9FE5Eh05SSo6WxjRMbCg5wsOw0hqzuVLGQnPSc4T/7Y9+porSu1FQXD/70SlwuO0luB0lJDhwOG3d//wI6d4q2/qnS4hIkTgghFgsh5gshFgkhFjW3fnPKhRAZwfLFQoj/NqQ9bd3p4lL8phVx3GuYnCgsiem5lm/cS1GZBzPkfH7TYs+R07z3xe6Ynktpfb0zsnhg8iycuk6K3UGK3UGSzc7SOVeQ6lAj7OKiheKElPI2oHfwWrwYyJVSvhxSZT5wW0PrJ3p5LKgphEDXnjlYUTKkuk1j5IQ+MT1X7rF8bLqGzwgf7YWAD1bv5ofXzyAt1R3Tcyqtq6O7P3f0f4GDpRvwWeV0Tx5Jsk3tNhZPam0TpbmGZXfCZ/ojjrt0G+d16hXTc+WWnsQvzahl/879mFv6TMemqR1Nz2bjx/Xm1Re/y7r1BzBNi7Gje5GaWtsUdKU1xDtOBHfaW1f5i74Q4iEhxPzafvGvr35zy4H7pZT3hZwvVwhByO5ZSg0jencm2nrtSU47Y/rFdm27PUdOU+GNHJErJfzlpU+YO36g2tH0LHfNwOFc2LMfn351CLumcX7XniTZHfFuVpvWUnFCSrmknrIlUY416fUSoby51AgswOG084075+B0Vc8p1m0aSclOrvnm+TE9V7f2Gfh8UW5MpMRmwspVe2N6PiU+dGGnT+pEBqXPVMmrRJAAPevK2a29O4Ub+o3GrVfHCbumk+VMYmGf2C6m2i0pu5YpIIEv5xf5uTE9nxIfbpeD86cOYMa0QSp5lQjiHycW1UhWLSOk170J9ZtcHtwOvXeN8y3lLN4VsDUM7NaeSYN64HJUjw9w2nW6t8tg+vDYdoj37JiJFjVBJSkp83DgWEFMz6fER4bLzaV9BnJRr/4qeZUI4h8nFNQIrCqXXzeZjl2z+O+Tn5J/6gyjJvbha4um065jbIfz9+6cTYf0FL4qKCasm0aCrUJSVu6N6fkURYl/z7pybvjx6NkMzerEv/es44zh4YKuA7ht8ETSHLFNPkzI6YtDs+E3vQT2vYHK34JsQqPU74np+RRFiW+cEEKMjnK4AJjdlPrNLSew6O5sIURvKeX+4LEiIpNaSg1LvnkJL3+6lVdXbcPwm8wbP5AbZo7Bpsd2zMBF4wbyu+dXgCWr7yeCHR8OoVFaoe4nFCXW1P1EYlAJrBATzh/IhPMHtvh5fnrjbL7/h1fx2QP/CjQ/OEos7JqNcaN6tvj5FaXNUQFHiQEhBFf0GsoVvYa26Hl0ofGDgXP53Y43Male30QAJpIxWbGdsqgoCk2NEzlCiNBdHB5t4hS7LAIJpFB1bTleX/1mlQeTVjW3xp5DjHeSOhfZdI1rp4/k2umxHZlbU7LLwfUzRvHM8o3Vy6BYoJmACwb0iO3OuIqioO4nEoSaQhgHY4b14MLh/cgs0XCftnAVWiTZ7MyeNoi+vVTAURRFaesu6zqGkZndcWt2BKADbs3OrX1mkO1MjXfzFEUJyJNSjg35aer6UNGG+xdA1XS+xtZvbnmY4LHZqCmECeVbl0yiZ3YGSUJHM8BuCVwOG/fdMAunXY1RUBTl3KSubnEghOCnd1/Cqi/28b8V2xFCMHfWUCaPi+38eEVRAKmG/CpnH5um8/fxt/LB8a0sO76VZJuLK7uNY0y2msGjKDEX/zhRRGBUVKi6FtCsr35zy2t6DJglpdxYRx2llSW7HTz98xt4+7MdfLp1PznpySycNZKBPTrEu2mKcu6Jf5xQglQCK040TXDexH6cN7FfvJuiKOc+FXCUs5BN05nXZRTzuoyKd1MU5dwX4zghhJgPXFNPtYLgluMFRI6KygCQUkabSlhnfSFEs8prvI/FwFKVvEpMbqedBbNGsmBWy05ZVBQFdT+RIFQCS1GUc5pA9ZgoiqIotWuJOBHc4e/leisG6m4UQtRMVGVRy5pT9dVvbnmlYBJuo5RyefDx7Mq/K4qitCXqfiJxqARWM+w5eIptXx4jOyOZTh3TWbv7ME67jTmj+5Gdlhzv5imKUkmqiKO0PiklW4oO8mXJcbq6s0mxu9hUeIB0exIzOwwj1e6OdxMVRakU/zjxkhBifjDxBYFF05dWFgohegOjQ8rrrN/cciHEbIJJreC5K+uoBFYMmZbF2p2HOXKqiD5dspGGxY79J2mflcLMcf1wOe3xbqKiKJXiHycUVAKrSfymxY//+hZrtx3CkhJLSvymhZmqodt1/vLap/zq5guZPbo/u4+d5u2NuzBMkwuG92N0zy6Iyu1uFUVpFarHRGltFX4f39/wOLmlJzClhSktLGkhEDh0Ow/veZs/jf4GIzJ68mXpPtbmr8cmdCblTKRncvd4N19R2px4xwkp5W1CiMXBUU+9gdyQ5BLAfAIJpJcbUr855cFF25cFq4YmvRo0okxpmIIz5dy65EXyisvwmxZ+0wJLovvAZbfxl2dX8s+fXEPPTlms3n2Ij7fvJ83t5NIJg+nRvuYmkYqitLR4xwklQCWwmuCNFVtZu+0QHp+/6pgERKmFNyXwzf7pU++zL7+Ax1euw+c3kVLy6hfbuXjUIH5+9SyVxFKU1iJRc9aVVvdY7jL2lhzDZ/nDjkskHtMHwP2bn2ZBj158nr8an2UAsPzUSi7vfAmXdZnX6m1WlDYrQeKElHJJPWVLohxr0uvVVR5cB0v9otrCfv3Mco7lnwkkrqpIpAYVXgOP1+Anj7xNdo901n95lAqfgU3TePqjjfzs2tlcPH5Q3NquKG1OgsQJBbR4N+Bs9PpH28KSVxCcF2sBVuCbLTTB0vfX4DH8WFIigQrDzzubdrHp0LFWb7OitGXCavyPojTHe8c2RiSvavJYBstOfoHX8iGD//NZPl7/6i3yvPmt1FJFUUDFCaV1+U2LT7ceqJG8AoRABocXSODQ8ULW7T5ChS/QyeG3LLyGn1++sJxyr691G60obZyKE4lBJbCawG+atZZVDi00TSvqKCuP4efDbftaqmmKokQjm/CjKM3gl7XHiUqmNPHXkuTaXLQ11k1SFKUuKk4orUjKQKdFfUwp8RhGxHFd11j/5dGWaJqiKLVRcSIhqARWE1w4eRAOux5ZIEAGP1FLSnR75MeraQKnXc3cVJTWJGTjfxSlOaa3H4pN1B1idaGRpEd2z2lCwyZUnFCU1qTihNKa7DadUX2jrIsrJSKk/8PtsoMWfTan3RblXkRRlBaj4kRiUAmsJrj2otH06pIdCCoEklIAZrLAYbfhtOvcf81MZJR4Y9N0Lh41EICduSe448EXmf71h7nie4/yyrJNSLW7gaLEliSwa0hjfxSlGb7d/yJynOm4dQcAWshyMk7Njku3c//gy9G1yDAssRiTOQqAjYW7+e6GJVz+2Q/55rpf8fGpja3zBhSlLVFxQomDn940h/RkJy5HoMNCCBAINAPcTjupSU7uvGEabkdkh4auCcb27QrAB1/s5qof/Yspt/+V6x94mjU7DrXq+1CUNkHFiYShunibwOW088QD1/Hpxlw27TpK++xUBvRpz5YDx3E6bFwwuj8dMlPJzEzi3ufeRRMCicS0JHdfPJU+HbLZd/g03/nVi3i8gekjJ/NLeOS5T8gvLGfRwilxfoeKcm5JhB4QIcRiYD+BbcmRUj7anPrNKQ/uMLUo+HAcsKy+9iiNk+lI4YUpd/Phya3sLv6K7kk5dE3KZseZI6Tbk5ndcTgZjmQ0Ucpzh19CC47Wkkju6PNNUu0pbCrcw4M7HscbXOD9q4rT/Hnvc3gtHxd0nBjPt6co55xEiBNK29KtfQZv/PoW3lu7mwPHCxjQrR0ZSS6+PHia9lkpzJowgGS3g8OFxTz70UaEJtCEQAjBw7ddjt2m8+Zn21ny7IqqtXn3HD7NPX97gz99/3ImDO4R53eoKOcWFScSg0pgNZFN15gxrh8zxvWrOjZuYPjW5zOG9GHFT77Fx7sCizSeN7AnOanJADzxymq8NRaC93j9PP/uem68bHzV6C5FUWIgzgFHCPEQsC5ki/KHhBDza2yR3uD6zS0H7pdS3hdyvlwhRL1JNaVxnLqdeZ3HMK/zmKpjE9sNCKszu+MMxmWPZkvRNnShMzJjBMm2JACe2P9mVfKqktcy+NeBt5nTYYLazVZRYkndmChxkOJ2smD6iLBj00b3DXv8/cumcvWUYazdc5hkl4Pzh/bG7bAjpeSRVz6L2FjKa/j5238/ZcLPVQJLUWJKxYmEoKYQtrA0t4tLRw/iynFDqpJXAHsPnoo6qlDTNE7knWnFFirKuU2QEHPWF9VIVi0DbmtG/SaXB0df9a5xvqXAfShxkW5P5/x2U5mSM6kqeQVwtOJk1Pol/jI8ltp9SlFiJUHihKLUqkt2OldNHsaFowfgdgQ6uSu8BsWlnqj1D54oaM3mKco5T8WJxKESWHHSvXNm1ON+06RdVkort0ZRzmFNma8ewznrQojRUQ4XALObUr+55QSmFM4WQoQmsYqITGopcdbemRX1uFt34tTUKF1FiZk4xwlFaQqXw05SLTM2OmantXJrFOUcp+JEwlBTCJsgv6Kcl3Zt48vCfEZ26MRV/YeQ4nA06jVuuXISm3YdDZtG6HLYmHveYFKSnLFusqK0aU3sAckRQqwPefxoE6fYZRFIIIUqakb9ZpVLKfcDNTPoc4DldbRJaaRCXx5r81dQaOTRL2UIIzImYdcaFydu6jmPP+x5JmwaoVNzsLDbnKo1sxRFiQ3VU660toPHC3jjk20Ul3qYOqI354/qg01v+LVd0wTfmDeeR99cHTaN0OWwcccVk1uiyYrSpqk4kRhUAquRduefZsHrL+Az/XhNk/f27+WRDWt4a/6NdEhu+MipYf0789u7LuOP//6Q43lncNptXDVnJLdfM7UFW68obVTTAk6elHJsDM6eEeVYAQSm80kpayaz6qzf3PKa5ws+ZzYwq473oDTCvtLtPHlgCaY0MaWfbcVrWHHqDb7f71e49KT6XyBoaruReCwfTx54i2JfKUk2J9d0u4Cru85owdYrShulbkyUVvS/1bv51b8/wO83MS3J8nV7GdSzA//vh1djs+kNfp0bLxqLEPDkO19Q5vGRlZrEd+dPZdbY/i3YekVpo1ScSAgqgdVI9618nxKft+pxhd+PzzT5zeqVPDz7kka91qSRvXj5L9/E4zNw2GxomlqQV1FaQpx7TIoI7gQYIvrcsIbVb255TY8Bs6SUG+uoozSQJS2eO/QIPqs6TvgsLwW+U6w89TYXdVrYqNeb3WE8s9qPw2sZODW7WrhdUVqI6llXWovHa/Cbp5aFzcKo8BrsPHiC99bs5tKpQxr8WkIIbrxoHDdcOBavz4/TYVNxQlFaiIoTiUElsBqhwjDYfjpyUV1TSlYc2t/k13U51FominI2EULMB66pp1qBlPI2AqOfao6KygCIMvqK+uoLIZpVXuN9LAaWquRV7OR5T+CxyiOO+6XBluLVjU5gQeAGxaU3bvqhoiiKkpi27DsWtdPa4/XzwdrGJbAqCSFwOdX9hKIo576YJrCCU1EWBR+OA+hY1RMAACAASURBVJadS9uy65qGJgRmlAXZHHrDh/sqitKKJGDFtsskuMPfy/VWDNTdKISomajKopY1p+qr39zySsEk3EYp5fLg49mVf29J53qcsGsOLGlFLxMqCaUoCakF4oTSdOd6nHDabchaFnd2qySUoiQmFScSRqxHYN0vpazail0IkSuE4FwJOg5dZ0aP3nx0aD+GVX2D4tR1FgwYFseWKYpSp/jHm5eEEPODiS8ILJq+tLIwuCPg6JDyOus3t1wIMZtgUitkN8LWWsj9nI4TmY4cOji7cMxzCBnyxbMLJ5Oz58SxZYqi1Cn+cUKpdk7HiWF9O+Fy2Cn3GGHHXQ4bV04bHqdWKYpSLxUnEkLMtjEK9pbU3IZ9KXBflOpnrd9Nu4DeGVkk2+0k2ey4bTbGdOzCXePUbh+KkqiEbPxPLAWnEvYWQswPTtvLDUkuAcwHbmto/eaUB6/VywhcnwuB3OBPzet3zLWVOHFTz3tIt2fh1Nw4NCd24WBo+jjGZ8+Md9MURalFvOOEEtAW4oSuaTz8gytJS3aR7HLgdtpx2HWumT2KScN6xrt5iqLUIhHihBBicfD3+0VCiEXNrd+S5UKIjGD5YiHEf6OUzxdCLBVCzA7+LA3pWK9VLEdgZQGzhRC9g9u0Q2Ax4VobEXwTiwC6d+8ew6a0nCx3Ev9beDPrjn/FwTOFDM5uz9B2HeLdLEVR6lLLUP3WbYJcUk/ZkijHmvR6dZUH18GK1wqvbSJOZDvb86NBj/Bl6TbOGIX0SOpPe1fneDdLUZS6JECcUIA2EicG9uzAe39exOrthygp8zB2UHc6ZqfGu1mKotQlznFCCPEQsC6kU/qhGjMuGlW/pcupfzRtFoGd0BcBG4FvhVz3axWzEVhSyv1SyswaJ61zSoqU8lEp5Vgp5dh27drFqiktTgjB+M5dWThwmEpeKcpZIBF6TJS2FSc0oTEgdQTjsqar5JWinAVUnEgMbSlOOOw2po3qwyVTh6jklaKcBRIgTiyqkaxaRsgMjibUb7Hyho6mlVL2kVIKKeWYhm4q1WK7EAYbPRuY1VLnUBRFqZdEzVlPUCpOKIqSEFScSFgqTiiKkhDiHCeEEKOjHC4gcH1sdP2WLqcJo2kbqsUSWMBjwCy1PbuiKPEkAKGmhiQqFScURYk7FScSmooTiqLEXTPiRI4QYn3I40ebuCFFFoEEUaiau443pn6LlgeTVpk1yiNG0wangBcEX69Bm3XUmcAKbrN+TT2vURBcMDj0eYuBpSrYKIqSEKz6qyhNo+KEoijnBBUnWoyKE4qinBOaFifypJRjY3D2jCjHCiAwUjW4xm2D67d0ec321DKadj1QVDlCK7iIe61relWqM4EVfHKdL1BTMEhtlFIuDz6eXfl3RVGUeFA96y1HxQlFUc4FKk60HBUnFEU5F8Q5ThQRHKUUoubjxtRv6fKaIkbTRumcWAbcTz3xIqZTCIUQswk0fHnIFoh1LryoKIrSotTaJglFxQlFURKOihMJRcUJRVESTgvEiUaOTi0gctRTBlTtMB7xvLrqCyFatDz0YG2jaaN0TBQB0dbWChOzBFZwWNiy4MOlIUWN6nFJNAUVFSz94guW5+aS7nLx9dGjuXTAAISofxd6KSXv7t3LC1u34jMtrhg0kKuHDsWh663QckVRAmTct71VAs7VOJHvzeed42+yu2QXGfZM5na6mGHpwxv0XL9l8r/jG3jv+AZ0oXFpl/HM6jACTcRsk2BFUeql4kSiOFfjxP5j+Tz+zlp2HDhBjw6Z3HrxBEb0bdgOtRUeg9dWbGHF2r2kJjtZcMEoJo9s9jrIiqI0SuzjRGNGp0opNwohaiaqsqglsV9f/ZYur1TbaNpg58QyIURmSMIrA9hPPWKWwAqeuP6szlmkxOvlsmeeIa+sDMMKTHr90bJl7Dh5kvunTav3+fd/sIx39uyh3DAA2HHyJG/u3s0zCxaga7XfnBwuLWBzwVFyXCn8//buOz6u8kr4+O+5905TlyXbsmzLHdsYU4yN6d0bSEIIYEJCCkkgsAmpmwTSs9mWJQ0SSBbIuwmEEkLfhI7pphjcbYyrbNlyk6xeptzyvH/MWG1GsvqM5PP9fATWLaMzI2mOnnOfe57FY6diykBGiAGR5c4zw2jMEzXRGn626cdE3AgeHlXRKnbt2MmVk67ivHE9L5rlaY/vrP0TG+t3EfHieWJT4x7eObSFHx/3yR7PbYhuoz62lWxrIkXBE3p1UUUI0T3JE5lhNOaJLburuPaWh4naDp7WVFY3sGprJT+//iOcfULPhahIzOa6f32QyoP1RGMOAGs27+XqD5/M9UvP6PY8rTWbtu1nz946ppUVM3vG+EF9TkIcjTIgTzzcpUfUEjoU+hNFoQUd9vd4/FDv72k2rda6XCl1Q5fZWlcBtxzpRRjKVQhHvAfXr6cuHG4rXgGEbZu/rF3LlxYupDg7u9tzt9fU8I/Nm4k4Tvu5jsPGg1W8unMnF8yYkXSO1pqfrHmKf+xZj6kMlIJcX5B7z7yGspyebikVQvRIrqyLIfL0/r+3Fa8Oi3kxHq18hDOLz8Jn+Ls9d2Xtdt5vqGgrXgFE3BivVm3gk01nMys3+eq8p23ePPAdqsMrAYUCsqxSzp14FwGz62IvQohekzwhhshtj7xOOGZ32haJOfzir69w1vHTerwA8fzyD9hb1dBWvAKIRG3uf+o9rlhyIkX5yWOR5pYo//KvD7NzTw2K+PhizswSfvmTpQQDvkF7XkIcddKcJ7TWNyilbkrMapoO7OjS8Hwp8QLRo705fij393I27bLE7YUARcCLA16F8Gj3ZkVFpwLUYX7TZMPBg5w3vfurJu9WVqbc3mrbLK+oSFnA+vue9TxduYGo17HoZfO1FX/j/y74cj+egeiPJruef+y7h/cbVmIogxMKzuAjpZ8hZHZfsBQZTIOS1aXEENnctLlT8eowBVRFq5gYmtTtuStrtxF2Y0nbPTRr6spTFrA+qPsz1eH3cHW0bVuTXcF7VT/jzAm39e9JiD7bc6CO2/7yCqs27iHgt7j0/Plcd+Xp+H3yZ9WIJHlCDKGNuw6k3F5V10xLJEZOKNDtuW+sKScStZO2+yyTDVv3ce6iWUn7bvvjMrbvrMZ23LZtm7bu5+773uDr153fj2cg+mNz415u2/wUmxoqybWCfGrqWVw99UxpETBSZUie0Fr/4gj7fpFiW78ebyD7ezObNrH6YI+Pn4r8BvVgYl4eZoqrIq7WjMvJ6fHcgmAo5W2CftOgKCsr5TkPlr9H2O2cpDw0FS217G6u7UPkor9sL8bt277P+vp3sHWUqBdmVd2r3Ln9p3g6A961RP9o3fcPIXqh0J961pOjHXKtvJ7P9eXgV8kFD0sZFPhS54nyxsc7Fa8ANA4HWt/G8cK9jFoMRG1DK9f+6AHeXruTqO3Q2BLh4edX84Pb/pHu0MRASJ4QQ6QwJ5Ryu88yCPp7nhFVXJCNYSSPRbSGgtzkx/U8zcvLt3QqXgHEbJdnX9nYh6jFQOxqruKf372LtXW7iHkONbFm/t/2Zdy2+al0hyYGQvJERpACVg+uOekkfF0arptKMSU/n2PHju3x3POnT8NKUfwylMHlx85LeU7X4lXb18Qg0s0+Mbg2NLxDq9uMR3vid7VDTewgO5ol8Y9Yuh8fQvTCxSUfwd/lNkFLWczLO448X88FrCUTTsLoJk+cNe64lOd4OnnG1mFaJ88YFoPvyZfWEY05nf4ujcZcVm7cTcU+udg0YkmeEEPkmosWEfR3vlgR8FtcdtZ8LLPnodgVF56Az+o8FlEK8rIDHH/MxKTjtdY4buoLrrGY5Ijh8pedrxJzO7/eEc/mycr3aLTlYtOIJXkiI0gBqwdzxo7l1osvpiAYJMvnI2CanDhhAvdccQVKKWKuw8qanayv25M0Oyfo83HflVdSkpNDts9Hjt9PXiDA7z92CaV5uSm/3sUT5xEwkq/GB0yLGXk9F8zE4NjbupOYF0nabnsRtjWtTnGGEOJodlz+fK6c9EmCRpCgEWwrXn1p+g0AxNxW9rSsoSqyDd3lSlxxII+fn3ANuVaILDNAyAxQ5M/ltpO+RMhM3TtrQvbZKJJXss3zT8Nnps4tYnBt3LaPmO0mbXdsl1Ubd6chIiFEJrv87Pl85p9OJuCzyAr68VsmFy2azTeWngVAfUuYFVt3U36gJuncWVPG8f1rlxAK+sgO+QkFfEwaX8DtP7gy5cws0zSYP7eUrtdGDENxyknThuT5iWSbGirxUlQvHE/zfl3qNjNCiN6RZg1H8E+zZnH+jBnsrKsj1++nJDc+QHhp/yZ+vO5xIH61I8cK8LtTPsPc/PaeJfPGj+ON67/E+1VV2K7L/PHjk2Z0dfS5GYt5pnIje1vrCbs2ljKwDJNfLLxMViIcBjub32Vzw9MoNLrLLbsazeraxyi0cjl17OWy4tcIo2QKrxhC5407nzOLz6IqepBcK69t5tW6ur+zvOouDGWhtUuObyyXTvov8v0T2s5dVHQM/zj7J2xuqsRSBsfkTuyxP8b8MTdysPUdbK8JV0cw8GMoi0Xjfjrkz1PA88+uZ92KXeDXdB0hup7Hb/+wjLyAnwvPOTY9AYp+kzwhhopSii9fejqfv2gRew81MK4gh7zsIFprbn9qOX95dTV+y8RxPWaVFnP7lz7e6bbDi848lnNPmcXmnQfJDgWYObm4x79Dv/vlD/Hl7z1AzHaJxRwCfotg0MfXr5X+V0NNa83zB56i0dkDBOjaAsjVLl9Y9jj3XHAVp46fmo4QxQBInsgMUsDqBcswmFVU1PZ5ZUst31/zSKdm661ujBveuYdlF96E32x/WQ2lmD++d0vXZvsCPHre9Ty7932WH9zOhKx8PjH1ZCZny8pSQ60mupunKv8dgyhweBbD4aSjMdBYOLxWfS9aweljr0hTpKJfJOGIIeYzfJ0atu9r3cjyqrtwdBQSPavqY5U8uef7fG76nzsNPizD5Lj8Kb36OiFrLBeVPUZF41Mciq4nzzeV6XmXEbSKB/cJiSRrV+/id7c+h7YdGOcn3tE18X3UGuUCrua/bn0G0zA476w56QxX9JXkCTHEQgEfMye2v1c/t2YrD7y+hpjjEkv0rPqgsoqb7n2aP964tNO5Qb+PE2d3vyhIR1MnF/HX/7mOp17cwI5dVcyeWcJHLphPbk5w8J6MSOmdmuU8c+BJikOa2ui4Tvs8DyIRHxHH4/OvPsQDF3yak4snpylS0S+SJzKCFLD64ck9q3FT/AA7nscbVVu5YEL/r7wGTIuPl53Ax8tOGEiIoo9W1zyGo6MYCoqsZhrcLGwdny3nVy45Znyfqx1er/4bpxR9DMuQpYhHBA0pFokTYkitrXsSp0u/Ko2mxTlEVXQb44PH9PuxfUY2MwuuYiZXDTRM0Qd/uXc50aiDAQTqHWL5FtqI/y1g2GDG4v92Xc3//Pk1KWCNJJInRBrc9+oqwl36Ujmux9qd+6hpaqEot/+rXxfkZfGZKxYPNETRR0/tf5yYFyPLgoBr06yDWKaH1tAa9tPcHC8ixlyXX65/mYfOvybNEYtekzyRMaSA1Q+1sRYcndz/wsOjQRrzjUgVLWvb/m0pTb4VRuv4lfUOF9jjd7NrTbNTS4G/dzPrRHoptEz5FcMu7NSRqnunUgYRt2n4AxIDtnXbgbZ/G7bG1+qhEwmi6808B6sbcV0P8wgNmkVmkDwh0qGhJbnnKoBpGDS1RgdUwBLpURdr72OWH4xQuXcMrj6cB9rv7EDB1obqYY9P9J/kicwhf1n1w5njZqVssOtpzaIiaZA4ElVH6/E6vCd5KYpXAI420WiyrPxhjlAMiCx7K4bZ9NzTsVQgaburHUqCs9MQkRioZs9pL0k6Xtt7RapONPl5ISlejTSSJ8QwO+vYaSlXIfRbJpOKC9IQkRiIiBNmjNnA4YtX47KbsMzDU3Y6F6+UoZmYLWOJEUfyREaQv6764Zzxczg2v5Sg2X4LWcj0cXnZQiZnj0ljZKI/PO3R6ik0CsdT7I/lU2Xn0OpZbe89HoqYtrBUgAVjPoTfkD4CI4okHDHMjiv4MLm+cZ2KWJYKcPrYLxIwc9IYmeiPusZWYrkWKHAsaJ4SoHWMiWuppHl2wYDF5646LS1xigGQPCGG2XVLTqEgK4jfiresMJQi6LP4yVUXpixsiczWam/mxKzdWHi4nsZRJgumVpAViBIvammUoTH9LiHL4hvzzkl3yKKvJE9kBLmFsB9MZXDXqdfwj8p1PL13LSHTz9KyhZwzvvt+FzHP5d3qXcRcl1PGTiHHl3xlfmt9NXdseJtNtQeZWziOG+efxpzCcSkeTQwmjYdG0eiGcD3wGQ5KmzS6WYQ9lywj1nbdZEb2ifxTyRfTGq/oI7lnXaSBzwjxyal/YGP90+xoWk7ILODEMZcxKav7/oa2F+ZgeDUKk5LQSZhGcp7Y1bKNZQef5FD0ANOyZ3Ph+I9TFJA8MdTCERttKcJj/Wg0ZsTD8xvECk3MsIe/VYMXb+q+9GMnc8UlC9IdsugLyRMiDYrzsnnse5/jr2+s5Z0tu5lYlMdnz1nA3Mndt6hobImwevtesgI+FsyalLLQ9ebmXdz76iqqG1o4Y84UvnD+QrkdcRgYRMk3wyzJ3cCzjSfgN6P4DItTplWwu76QvQ0FuFphKo//OPlSLpzY/16YIg0kT2QMKWD1k8+wuLzsZC4vO7nbY/a01HH/jvdYV1vJproDmMpAKYWjPf59wUe5tGx+27Grq/fy6RcfIuo6eFpT3lDLsj3buG/JJ1k4rnerjoj+MZVFvq8E29vVYapv/HbBQ3YODW4IhUe2EcUyCzGUmcZoRX/IPesiHfxGiAVjlrJgzNJuj6lo2cvzB16jsnU7fr2GsqwWrMQtBudO+C9Ksxa1Hbuh/j3uq7gdO9Ecvjq6n7X1b/OtY/6TccHSIX8+R7OS4jyy/BZubRjD0WhA4eIEFOGxPsJBhRHzMMOawgl5PS5xLzJTJuQJpdRNQDkwBkBrffdAjh/IfqVUAfCJxKczEvtv7t8zE90pyA7x5YtO48sXdT9rc932fTzx6no276liZ1UtvkB8NmjQ5+OOr13GnMntFzEeeH0Nv31mOZFEc/jdh+p4evVmHv3OZynKzRry53M0yw0cj4fFpthkxgXae122un5UoaasoI6wbbG7qYCJuaE0Rir6KxPyhJBbCHsl5rm8sHcz921/j/W1+3p1znuHKvjYsjt5YMe7rK2tJOo5tLoxmp0oEdfhx6ufYldTe6O/f313GWHHxkv8Ynhowq7DT999cUiek+hsfv6xWMrDULR9+JRLodVKvG2fgasVu1u3pTtU0R8y5VcMsZgXZWXtW7xe/QIHwnt7dc6b1Sv5wYZbeOngcj5o2s/G5rG8XDORsBvG9lp4ed/NxBIN3z3t8Wjln9qKVxBfOCTqRXh6/0ND8pxEO8NQnDBuLIatURoMDUqDFdEE6h1QCs8y0B68ubY83eGK/khznlBK3QKUa60fTRSSZiiluq1+H+n4ge4HbgEe1lrfnShcXZgoeIl+amqN8NSb7/PYK+vYf6ixV+fc9+x7fPVXj/LMW5vYsecQbtQj0hSjNRyjtqmVG3/3OI4bv/gajtn89un24hWA7Xo0tka499WVQ/KcRDvTyGKHu5iI9nUaT2SZMXLMKEpBrj+KYxu8Wb053eGK/pDxREaQGVhHUNFcy9Wv3kurE8PxPAylWFRcxv+ccRU+I/VMHK0131/5f4Rdu22bUvGfYUV8BqLjeTyxez3fmnceABtrD6R8rE21B9Fay9XcIbar5R2MLi+xUhA0bLTWuFrhmSb+FE2ZRaaTBCKG1q6WHfx+28/RaDztAoqFY07nU2XXdfvebXs2d5U/QMxrzxMuJmFXsStcxMzsahSKiubXmJX/UZqdRlrd5qTH0Wh2NH8wVE9NJGit2bS+MqlhuwL8zR7RQo1yNTrLICcreZEXkekyIk9c32WG04vAzcCj/Tx+oPsXAhd2+LwcWITolzfXl/O9PzyFUgpPa37z0Kt88aOLufaSU7s9p66xlTuffIuY3b7yuSIxnvBAmxBzXFZt3cPiuVPYvr8mfkuh3flxbNfjzc0V/MslQ/TkBAAtTgM1dj1d076hINeK0GCH0J7BKSW7ybGkl+7IkxF5QiAzsI7oG+88Rk2khRYnRtRzCLs27x6q4L7t73V7zqFoC1WR5GXSO76hOdqj0W5fPjfPn7owkusLSPFqGDhe8lLGjmewP5JPTTSH2lgOzU6QAl9eGqITA6KRKyZiyHja4+4dvybihYl6EWxtY+sYq+reZl1991e8d7WknqXlYbA/VpB4bAfbawEgaHZ/u0GOJe9LQ83zNI7jJm3XCuygiRUGKxp/u5k8tnD4AxQDk+Y8oZRK1TStlngBqc/HD3Q/gNb6ZK11x+LZAuJFLtFHLeEY3/vDU0RiDuGoTTTmELNd7nn6Xd7fmfoCNsDqrZX4zOSL5Qo69eJpjsRn5hblZmGneJ8CGJ8vi4cMNduLQop1aRUeWUaMKcEa8DT5vjCnFUnvyhFHxhMZQwpYPTgYbmJ7YzVelzWGIq7DwztXd3teyPQlrUrUVZbp44IJ7c37vjBnESGz84S4oGnxuTnd99gSg2d6zuJO7zG2Z7CxaSL7ogXEtA9Hm1THcllbv4kmuzZ9gYr+8frxIUQvVLTuIOZFk7bHvChvHXq52/NCZgBXp/5Bs1R8AKKUQWn2YgD8RoCTCk7DUr5Ox/qNAOeNk8vqQ800DY49dmKnbZ4B0QIfXsjASHwrTQcefnY1reFYikcRGa1/eaJYKbWyw8f1/fzqY4gXkDqqH8DxA93fSeLWwWVH6sklUntrw04MI3nIFbNdnnlrU7fnZQVTz+bsOMawHZeTZ8V75ZaOyeO4spKkxu5Bn8U158l4Yqjl+8aSZXa+oGQkild+wyHfH2FuwUHyfRHW1v48MWNbjCgynsgIUsDqgeO5Pdz+0f1PZI4vwGljp2Gpzi+v1vGkk2X6OHXcNE4fN71t31fnn8YVM+YTME1yfQECpsl5ZWUc0Hv4/Ft3cte2l2iItQ7K8xLJzhoXX9reTfxVsD+Sj6MNdNuviAIU+6PZLK/+W7rCFP2ktO7zhxC94WoXleKKK4CjnZTbASaGShgXKEo618RlWugQlgoyK+8SCvxT2/YtnXwdx+adhKV8BI0QPuVnccFx1LQ+y5MVN7K+9mFsLzwoz0sk+9a/XIzPb7YNHp0sM5Ea4t9DpRQKRbg5xlMvb0hbnKJ/+pknDmmtF3b46G+BpyDFtlpoa6be1+MHup/D/+5QlNvRXfCiZ/EeVcl/V3hadztjCmDRnMn4rG6Gala8MPXVS8+gIKd9hu6tX7iEE6eWErBMsgN+Qn6Lj86fzT3/t4Lrb/kbT76xIeVsUjFwSikun/QttLbaxhN+w0YlemEBmIbGUJqaWDX7Wt5IX7CiX2Q8kRmkB1YPSrPyKQnmUtFS12l7wLD4WNlxPZ57y8KPc+3y+9nZXIOpDKKuw7isXObml3BJ2XwuLJ2N0aE4ZhoG/3Hqh/jOSWezu6me95squGPrc0SbbTSwpWk/T+xZyV/P/CqFflkKd7Dl+oq5fua93Lb5qzQ6tdTYOR2KV52tqn2Li0u/PMwRigHJgAQiq0uNTlOzZpLU8IL4zKhTis7s9jylFN+b+xX+7f3baLSbUUphezGOzw1y6phTmJn/EUqzTunymH6+MO1faLTrabBr2du8jPfrH8PR8Vuga6Lb2NLwLJdNuRPLkH59g23atLE8+MBX+MR1d+K0Onh+I+X3XgP/eGU9n/iIzHgYUdKbJ+pJvFd30PXzvhw/0P0AaK3rgbsBlFKPKKUe0Vpf2UNcIoXTjpva1mi9o1DAx5JTZnd7nmWZ3PHtpXztN4+19cGK2g5TJo1hzrTxXH7m8Rw/fUKncwqyQ/zpxis5UNdEbXMrDz63ihff2kI4Gm+MtWnXQV58dwu3f+sKjK7NX8WATcuZz42zbuebK39KlhVhdl5V0jFKgYuiqvk5JuWcO/xBiv7LgPGEkAJWj5RS/Hrx5Vzz+n24nkfEc8gy/UzOLuC62af3eG5hIIvHzv8Sm+oPsLe1nmMLJjApO9UFr84KAiGyLB9fXf1HIh2a+8Y8h/pYC/fvXM7XZn9owM9NJAuaOXxp5n/zn5u+hadTF680iqjXRMRtIWhKIXFE0ICX3oSTWO3pvcP9RJRStyillnbpL9Lr4we6n/jqUjcnBicopVYppW7SWv9iqF6D0coyLD4/9Ub+t/y3aDwc7eA3AkzLnsWiMWf0eO74YDF3LPh3tjSV02A3cUzuNAr9+Uf8mnm+AnxK83z9I7gdViV0dJRGex/bGl9kbsFHB/zcRLIxRTn89lef5rofPoByUnU7idteVYfjekm38ogMNQR5IrGi31VHOKxWa30D8dlPXf9ILIC2IlLSeT0dr5Qa6P4C4k3eO+aEF4G7jvB8RAoFuSG+c/X5/PrBV3A9D9f1CAZ8XLjwGBbOmdzjubOnjOOZ39zAmq2VtEZsFsyeSG7WkRuAlxTm0tQc4ZXV24l2WJUwEnNYv2M/726q4NTjpg70qYkUxgVLuW7Gt/nmu/czK7caUyW/t/iVZrL7ShqiE/2WAeMJETeqC1gtdoy/bHuPp3ZvItvn5zMzF3JJ2bF9aop+/JhSXrr4a/xfxXr2ttazsLiMC0pnd7sCYUdKKeYVTmBe4YQjHtvRjuaDKbfb2uWNqs1SwBpCRYESfnDsrfzH+1/nQLSgyywsTdCI4TM8tjSu4ITC89MWp+iLjGiiKKtLZai6aAv37Hib1w5spSiQzednns5Z42f16THm5Z/Ij+f9indrltPsNDI373jm5M3HUEcuXiilmJM3o89xHwhvxFBWpwIWgKMjVDS/KQWsITRvxgR+/XRGjgAAIABJREFU94OlfP1nj4Ci022gmvjKYB6wbuteTp7b8+BUZIrBzxOJCwbdvcd3PXa1UqproWoMsKw/xw90P/EccYtS6u4OBbQjX4UdpQ5WNfLgw++wbsNuJpQU8umrFnPcsZP69BiXnTOfBbMn8dzbmwjHHM49aSYnzCrt1ZjEMg0WzS3rc9yrtuxBpxhwh6M2K6SANaTOnzCHH594Ea8c3MHM3Bq8DnnCwuPEQCO5qgnt7EZZff/einTIiPGEYBQXsKKuw9KX7qGiqY6oF7/ysKnuICurd/NvCy/u02ONCWTxhWO6X+Z2sOX7snC6aeznNyyWV29iXn4ZhX5ZUWQoFAdKOKtoHi9Vb6XWziE+JFH4DYfJoTq0hrAr/ciOAsVKqY7LyN3dn/4mmbq6VJf9C4jPyjqq1MdaufzVO6mLtmJrl21NsK6ukhtnn8sXZvU8e6qrQn8RH5pw6RBFmixopl55UGGg0exqfpvS0PH4ZabokFh0/FRmlxSxpapzH2xtgOsHtG67ZUeIXnq4y0zZJXSY8aSUmg4s6LC/x+MHsl9rvUwpdXOX2V9LgKNulu6+/fVc/9V7CEdsXNdjV0UNq9fu4nvf/jDnnT23T481paSQGy7rW24ZiPycEJZpEOvS88pvmTSGo7y1aRcnz5pEwDdqh4NpdXnZ6Ty85ykWqwMc0j7QCqU0032tnBKsx9Ym6ORFYIQQPRu1c9uf2r2Jyub6tuIVQNi1eXTnevY097SwS/qVZhUyO28CZper9wrYE97Hv2/8K1cs/y/+VC6rGQ+V80u+QtTz4VM2pvKwlIOp2vsXuLqn1hQi4/Rv2dvBas4rq0tlqPt3rKA+Fi9eHRZ2be7Y/ArNdiSNkR1ZSWg+ASOXrjexaTz2tK5l2f7/4M87LmdT/TPpCfAo8N2vXwQmeGZ8RULPjBewAFCK4nwpHo4oaV4ePXEr4XSl1NLE+/KOLreZLwVu6O3xA90PPKqUuinxcQvw4tHYK/FP971BaziG26GHVTTqcNvvX+y0LROde9LMlH2uYo7Ls+u28t0/Pc1537uTN97fmYboRj9TGXxl5lU8cvA4VtRMY039RN46NJ3ltdPwUNha4RgTj/xAInOkOU+IuFFbcn/jwA5a3eSrn6ZhsPpQJZNzkmdCR9woD+5+hOWH3sb2bObkzeYLU6+mNNS3WwAHw68WfIZvrvwL5c1VWIZBixPFNFxcPFoSY60Hd73K3LzJnFY8Z9jjG+3uLL+LmDZBqUSVV+Fog4PRPHzKoMA/Ls0Rij5JbwLpcbWnFP1NhnR1qQ59rzo2cj8qV5daXrWNmJc829UyTLY0HuTkoilJ+6JuHWuqf8nelpfRaCZkn8mC4psJWcP7nqCUwUcn/4ZnKm+m1TmEUga214oHaB1tW/BqedXvGB+aQ1Fgeo+PJ/ruB79/Cq0SNxAmxogaUA5YPkV+bqiHs0XGyYCBRk99CBP7fpFiW78erxdfr7zr1zsarVm7Gy/FbXiRiE31oSZKxif3Ldxb28B/Pv4yb22twDIMLjpxNjdfei65oeFdXCMU8PH7by/l27f/H63R+O3mrREb1w+tsfYx0nf/31M8/bMvUpQnRffB9ustfyPqWUR1+5B7U9jHozXTyQq2cIkatUPx0SkD8oQYxTOwSkLxQkNXCigOpn6D/vXW23m9+k2iXgwPzabGzfz0/f+mwW4c4miTFQVyuO+Mr3D/GTfynbkfJt8PPrPzlZ6IZ/PYnjeHPbbRztMumxt3ktyeVxH2fIDFnDwZDI4Yh5su9vVj8GTs6lJa67sTA5hFSqlHeohpVBoXSn0bnqM9igLJeUJrl5f3Xktly0t42Ggc9rW8wUuV1+B6w38bQL5/Ep+cdj8fL/s9J435LIrspNVTXW3zgczCGnR1ja1UVTelyBKgNBQV5jChOPXPl8hA6c8TIkMVFmSl3O55mtyc5GbqzZEoV//2r7y5pQLX00Qdl2fWbOaLdz6CTsPgd960Ep751fX8z3eu5LLzj8fMtdBm15m78MLqrcMe22i3unY7ES+aNJyIaot7q2ezxzkby/CnJzjRd5InMsaoLft+csZJ3Ld9JXaH6b0GilxfgFPHJV9V391ayfbmndja6bTd9mxePvgal026ZMhjTmVazlianBYswyCaoi1Wkx0e/qBGuYjb82s6LnCA3S0bmJZzwjBFJAZGgx7caf6yutTocM2M03izageRDrN1LWUwK3ccU3OKk47f3/omEacaTcc84WJ7TVS2vMSU3A8PQ9SdKaUoCs6kNlaBUrTNvDpM4xFxG4Y9rtFuf21Tt/uU1tRWNlC5v5ZJE+R285Fh8POEGB0+deVifvnb54hE2vOEz2dy5mmzyM5OnlH1j1Uf0Bqz8ToUq2zXY3d1PavK97JwRt+avw8Gw1DMm1bCim27cbzkn3PbcWmOxFKcKQZib2vXbg7tfKbLmoaDtDqtZFmpi6Qi02RGnkjc8l1O4uL0kVqAHOn4odyfGC8tAQ5fJL8SuCUxw7dfzwdG8QysqbljuOP0yynwh8i2/BSHHM6cVMOn57awqu41bK/zG/W+8H6MFC+HrW12tu4errBTmp07Ea/rqARNyDQ4c2zfGkiKIwuaWeRYmqSRIJqQYWMqeLDix9huZvfIER0M8j3rWutHtdZXHuHjhsSxq0nuQdXj6lI9HT/Q/bSvLtWxyHVUri51ctEUfjj/YrIsP9lWgHk5Nfxw5nv8au7btLT+Hd3lgkZTbFfSqn8Ajg7TGEvvXZilWSfi0TlehUeWYTA155Q0RTV6lY0vAEslZQm0RrmAo/n8N+5Ny4wL0U/S20SkcP65c7n6E4sJBCyysvyQbRKYnku42OLNjTuTfse37KsmYjtJj+NpTXlV9wWN4XDa3Cn4rC6rqGvwmQaLjpEVUwfbiYXT0UnzdEGhKfS3UuBv4kfrfpSGyES/pTlPJPoRlifGIXcDMxJFon4dP9T7iY8/LiR+ofwW4K4uxas+PZ/DBrWApZQqUEpdn/i4JRFU2pxXOosVl36T/1o8n/OmbqM4Zx/lrWt5cu+f+e22HxDtUIAoDU0g5mnqIiGqWnJojAbwNPiUj2lZyTO2hlPA9PHt2ZcRMHwYKLKsKBOymhkTbOD5g0/wxx0P4KTo4yL6x1AGSyddiqU8FPFKu8LDRDMh2BCf5YDHG9UPpTVO0UuZMeX34S5vyEmrS3XZ3+PxA9mvtV4GpG11qUzLE5dPWcDyi77LfYssfjH7KU7JW40Te5ZDdd/i4KFPdSpi5fmnofDh6nhPPE8rtAZLZZHnn5HGZwHZVhEnj/kslorPCCi1ajkpuJu5gV00NHydyvrfSDFlEOWEAnz4guPinxx+XbUGDYYdH7JEYw7LXtuUthhFH2RGnhAJmZQnlFJ87uozeOKvX+WEf5pFrDTAvkgrL6zayk13P83P/vJCp/fWOaVjCSgTM6wxWzWGHR/EGkoxY3x6Z2TOnTyeDy2YTcjvAw3KBjMGOuzxjdue4JFX1qU1vtFmcnYx83Ln4GnaxhMGHkHTZmywBdPQaHMf5U370hyp6JXMyBPXd1ls40U6LO7Rj+OHej9a6xlaa6W1PjlxkX0gzwcY/FsIb6HDwEgptUopddORmkgOLY936h7C0e1Tf2M6Sk30IK9WPYHJHnY3v4tSQQwnQF2kGI1Bs+2nLpLFrIIo548/O33hJ1xUejLTcsbzp/InqQhvQieu+9ra4fVD72Aog2unfyrNUY4e542/FEeHeeHAo8Q8C7/hkmdFMFT8ddcaDkbKj/AoImOkeeCutb4hsZLTUmA6qVeXWgI82pvjB7qfxOpSiX8XEV9darjepzMuT1g0Eoj9HmjvY6V1K9HYalpa7iHLXgf2KsaQxVijlUrXB4CbeB8OqWwmZV+QjtA7WVj8WSZkzWd7zc8J6t0YaMDF02EONv0R08hlQt6X0h3mqPHDzy3BsT1efGFDfDCYmH3Vdr1dw6Yt+1ly7rx0hil6Swq8mSTj8sT++iZe3biTaIfZVeGozQsrt3LSzEk8/95mtlYeIivgQ9c5mMTfC3QM8EHZxAIWTEv/inP/+uklXHDCTH750KscONSIh8b1NM3hGLc9+jpF+dmcv2BmusMcNX694It8Y+WfaXBXAJBlxcjzRRMXw0FrxQcNu5ieW5rGKEWvpTFPKKUWpNhcS3yGU5+PH+r9RzKQ8we7gLUw8UUPD5TKgUWD/DX6ZF9kV/IUf8DWMd6ofpwJ/no08dlLJxUa5FitbGiaiM90QSuCagZ5Vu7wBt2N2XmTQNWj6Xz/bcyzealqOZ+dcgV+U5oBDpYlJZ9kf3g9u1vWtyWaw5SC0qzZ6QlM9F0GDExkdak2GZcnItG3UMoXX72vA61baWn4T7LMAODhA04NwrpokArHwlIuGsXY0EmYxvCuLtWdiVknUlW7DUd3npXr6TB7G26XAtYgMgzFz750EZvW7GH/vvrkG0UUzJ+b/gGr6KUMyBOiTcblibfer8BL0f8mGnP4j/tfxE3MtKhtIn5/i0dbNVu5inOnTUV1/WMyDZRSnDK7jJq6lqTVFSMxh98/sVwKWIPIZ1jcseha/vm9deT6q5PGEwDH5E0b/sBE//QvTxQrpVZ2+Pzu3vR5SmEMiVXFO0jVS7e3xw/1fgCUUtcnjuva46qvz6fNoBawtNYnd9m0gPhVlLTxG0F0Nw3XFC6edqmO5tDsBCj0tVDl5BG0nMQbjKa8pZzfb3+Mi8afzfP73gfgQ6XzmJk3vEumH1YbS/19tT2X92q2c8a4Y4c5otHtqrIf8+vNn4j/DCWyjtbgocg2x6O1zog/SERPpFdJJsnEPKFU9w1UTTw87XHA9RPWBkVGjHpP41fteaK69Rm2188mO7CY8qZ38BkhZuedQ75/wrA9h44cry7lds9rpCF2kHz/+GGOaHS79UdX8Kmv/C+a9tlXGvB8kF0ozXlHBskTmSQT80Qo4MM0DGySxxSup7u0TVVgJLYphdaae55byezJY8nNDvLulj0U5mRx8SmzKcpLvTL6UGps6b6Ha8WBOprDUXJCmXFRZjQwlMGNM2/kgT0/wdOq03gioD1MI7lnmshE/c4Th7TWCwchgFT9amshftt1ioWhejx+qPcn4lkJ1B/ue6WUuksptTRxV0hfn0+bIVuFMHF7yrKeKoyJitz1AGVlZUMSx/jARPL9RRyK7m+77Q7iF0csYvx97/E0OwFAY5keWT67c3VcwdP73uKeLe8Tc+Of/++2N/nn2Wdz/TGDd2uh1poXDqzk8crXaXEinDH2OK4uu4B8f06n48YFSmiwtydV8D2teKxivRSwBplSCgOwUfH3LRS2NrC1xeN772ZvpIJLJ16b7jBFTzSQYtUdkX6ZkidCwbNQWEmzdRUKlwAPNxdj6/ibbkBFyTZjXd6DNR/U/paKWCm2djAweefQ/Swp+RZzCwbv1kJP2+xseJiKpsfxtM2knA8zs+AaLCPUOW6jFO3tTTq/xQuwtu4Zzhn/hUGLSYAv4MMLGeioFx+zKvD8Cs9S/MtvnuDGT5zF1Rd3HY+LjCJ5ImNlSp64cMEsfvPIa0nbddt/UgbW9n9Pa374v89h+gwiMQe/ZfKHv7/JrV+5lMVzBi/mcNTm/mdX8tzbH2CZBh8/53iuvOAErA7N24vyuymsJ3p1LVuxlY+fO3/QYhIwN7uVQBQq3BwKAmEcbXIomk2z4+dba37Dd2Z/jrPGnZTuMEVP0p8n6knMYuqgp8Z6Rzp+qPcfXliqoxeB7xOfXdvX59Nm0FchPNx4MfFpj8syaa3v1lov1FovHDt27GCHcjgerp12M/m+MQSMIAY+PK3wPFhVU0aDHcTRJo62MJUm1dxOx/NQRhQXjas1Uc/hzi2vU9FcM2hx3rHtCX639TG2N+9lf6SGJyuXc8PK39DshDsdV9Oag6ZzAdjTUNWSw75wr2bdiT6oaF5LTCscbdLiBWj1AtjaR7wdo8eKmheoiiQPFEWGkdWlMkrm5Qk/48f+FUMVoFQOHgFcrdA6m9fDRbRqA5v4h0+lXjDD1R4WzYDGw8HVMZYduJWI2zRocb578Nt8UHc7TfYOWpzdbKv/E2/s+zxel9USN4Qn4+rOuczViu2x8TTYBwYtHhH33PJNaBc8v4GdY+DkmHh+AwyF43r8/uE3aGgOH/mBRHpJnsgomZYnCnJC/PKGjxIK+MgO+rHMxBAq8WOgkj5SjCdcj0g0/n4dc1wiMYfv/fFpHHdwBsWO6/Gl/3yIe59+lz0H69m5r5b/eWw53739752OM5TC8Lr8DCf+rW1NdV3zoMQj2r2w73VeqpnOzuYitjSNY2dLEU1OEI1BTHvcuu2vsiDXSDDIeUIptVQp9cgRPg4v0lRL8qylgnhYKWcrHen4od6PUqprP6t64jNq+/N82gx6AUtrXZ9IJL8AFimlHhnsr9FXxYESfjD3DhYWXMX2xmJWHZrE+rrxHIzkoTu8BB4q9c+ZImkw4GmPl/ZvHpT4qqP1PL3/HSJe+/LsjnZptFt4dt+KTsduqD/ErvpCmmN+HNcgbFvsbcynIRpiUdHUQYlHtNvTugUAV6f+VXG1y4qaF4YzJNEfMjDJKJmYJwL+E5lcuo5G/zWsDk/iueY5rAiX0OwdbsUb112eUGjibXvbGcqiomXVoMRXF32fQ+F3cXX7rR8eMVrsPRxobZ8V4Hg2H7Ro1obLqHOyiHomdU4W68Jl1DrZlGWdOCjxiHYbNsdXkNImqS+CuR4vvLtlmKMSfSZ5IqNkYp4447hpLPvVDZw4ZyLaB24APPPI5x2W6ifGcT3erxicCwtvrNnBnoP1xOz2Qkgk5rDqgz1s2tn+NfYeasD1PJRD/Cp4vDcGhhMfGB43Mz23v49mT+yLEdE+ApaDkaLzSMSN8EHT1uEPTPTNIOcJrfWjWusrj/BxQ+LY1ST3iBoDLOvmsXs8fqj3K6WmAy8mbjc8rIB4T8M+P5+OeryFMLGC1VVHeIzaxIpXBcSXQuzYGPhFOi/tnjaGMnhm3y72h4MARF0Lr8vVkahjEbSS70PWWhF1Or9USilMY3Dqf9uaKvEpE5vOXzvq2ayu28qVZee2bTMNg6htUdmUT+duG/Dp6acOSjyinaEOf9+7fwNaW/82l0yUW3Iyl5blzofQaMoTSvl5p34TzU789ooDrkGO2blXSKsXIGB2zROKmDaxdZeUqsGgD6ObHtRFNqTs5+jqVmrCqyltWwVR4WJxwM6n3s1q+0M5Pj4xmVdw3qDEI9qF/Inv++Hp0V2LWBqeXrWZK8+X4mHmkjwxlEZTnrBMgxU79hDDi/8ZbgC9mDijVGIs2/XtQWusQRpPrNlSSThqJ233tGbD9v0cO60EiI8llBGfI6aczqMJn99i8bwpgxKPaBfROUBTt6MJDWxqeIP5+XOHMSrRNxmRJx7u0EMK4iuYt703JopGCzrs7/H4odyvtS5XSt3QZTbVVXTuZ3ikx0+pxwJW4sEe7emYDhYCtyil7u4QaKrmXGlzKNrY435PG4RjQfKCDn7DxNOaPF8Om2uSBw0KxZIJg/MmU+TPx0vxlmagKAkVddp2cenxPFbxHrb20ImqrkKxsHgKJaGMerlHhVm5i3jr0BN4KoajUw9EG+06aeaeyTTdLuQgBm605Ymw254nPBSeVp3qETYWzTqHPBXFVH48XIJmKXtao3QdxXi4TMkZjL6dELTGYigfno512m6oACGr/Wq5ZVjMzp3PlqZ1xHSEbCOGUpqoF+DY/A/hM4KDEo9od95ps3lzdTnhmJM8GyMxYt1WN3gtB8QQkDwxpEZTnojaDm6HW/60CSTXjNpuMQz6LWzHZfK4AvYcaiBid74AEgr4mFs2OAtrlBTlEfBZRLt8Dcs0GFfY3lN3QlEeE8fms2tfLdqDw33pTZ/iussWY6SaIiQG5EOlx1PeXEVrzI8VjHSZhaWxlEd1ZFO6whO9kQF5IlHkvylxUWA6sKND8QdgKfEi0KO9OX6o9wPLEn0MAYqAFzv2M+zF+SkNWhN3rfUypdTNXapsS0jfUu1JFhRO57n9a/DQKAWmoYnnoPi7SNDwkecL8edFX6bWrido+pmSVcJDu1byy43Pc/hIDXzvuIsozRqcfHpM7iQmBIvY3XIQt8PqJj7D4uMTz+x07NdmX8i6ut3sbqkh5rn4DZN8fxY/P+nKQYlFdDYx6xjm55/D+oZXcV0Hu8OvjNYKRxtkmUEpXmW69F8xEYyMPDE+eAz7whsTnykinp+g0d603VIhglYpF066lbCzG59ZQI5vCoGqP7G69vHEWfGDPzLxh/i7NFjvr5KsszGNII7bSscZoQYmk3M/3OnYq8qu57dbf0Kr20ydY2MZPor947l04ucGJRbR2TmnzOQfL01k1cY9xBwPbXV8v1G4PhiXK6sRZjzJExkh0/NEdsDP2Pxs9tcl+hsq8Kz47XeH/xIMBXwcP30CP7/+w1QcqGNsQQ7jC3P50Z+f5dW1O+I9E00TQyl+8+WPDVrB6MNnHMvdT77dqaCmFAT9Ps48cXqnY2/58iVc/4u/EXNcYraLzzI5YWYpn/mnwbnoIjq7cspintm7jvLmA4RtlyyfjQYMpTGVR2mwnhzfzHSHKY4kA/JEl9mpqfb9IsW2fj3eQPcnVh8c0OOnovQg3sOfmLa2NPFpEVDT26AWLlyoV65cOWixpLKvtZZr3vkdYSfWVijyK4sFhTMJmH5OKpzKRyedTLaVvHTsgXADL+/fglJwfskcxofyBjW22mgj//b+X9jcuBtTGYTMAN+dexWLi5JXFfS0x4pD5WxrOsjkrDGcNe4YLGNwblMRybTWlDev5W+7b6XZbcL2TFwMNBBUFmeP/QgXl3463WGOWkqpVQNZfjbfGqtPy720z+c9X/+/A/q6IrVMzxMHwlt4pOK7uDqaWLlW4VMmx+QuwFQmk7NPZUbuBZiGP+ncumglO1vew6cCzMw9k5A1uHmiOVbBewe/Q7OzGwUEzGJOHvffjAkmrxblapdNjWs4FD1AaaiMWTnHYahBb3spElzP4/UV2/jZXc8RjjiQ6IflmaDGWdx8xXlccaqs6jVUJE+MLpmeJ17bWM5N9zzdNpvKUAq/YXLu7GmYhsGFJ8/inBNnpGw1snl3FSu3VlKQE+T8E2eSFUzOJQOxccd+fnTnM9Q0tKC1pmx8IT//6iVMKSlMOjYSs3lt7Q6q61uYP30Cx8+YIBdkh1DMdXh632r+sPVhUDa5/igB0yXHjDIxFOMzU7/HzFy51XyoSJ4YPQa1gDUQw5FwAPaHa/lz+SusqS2nJFTAZ6edyylFs4b86/ZWbbSRVjdKaahIBhsZxtUuD1XczvqGFVjKwtMOJxaewdLJ/4ypBm0yo+hCEo44bLjyxKHITlYcepCDkW2MCZRxavHVlITmDPnX7a2wcwBPO2RZE2WwkWHCMZtv3PUka7buxQqYOIbm6rNO4psfPVO+V0NI8oQ4bLjyxLqd+/jjCyvYVVXHvLISbvjQYqaXFB35xGGgtWZfdQOWaTK+KDfd4YguWpxG7t7x7+wL7yNkKizlsKTkM5xW/NF0hzaqSZ4YPY66UfeE0Bh+MO+KdIfRrTGBPMakOwiRkqlMPj31m1zqNFATPUCRv4QcX366wxJHojV40ttE9F5xcBofmfTDdIfRrZBVku4QRDdCfh93f+1KDtY3c6C+iWnjC8kLSd+xjCd5QvTRCdNKueOGy9IdRkpKKSaOy5i2YaKLbCuPb83+JXWxgzQ79YwPTsEv/Skzn+SJjHHUFbCEGKgcK58cSwpXI0qGzDQVQhwdxhfkML4g58gHiswheUIIMYwK/eMp9A9OA38xTCRPZAQpYAkhRj0tV0yEEEL0QPKEEEKInkieyAxSwBJCjHJarpgIIYTogeQJIYQQPZE8kSmkgCWEGN00GbHsrRBCiAwleUIIIURPJE9kDClgCSFGPy1TfoUQQvRA8oQQQoieSJ7ICFLAEkKMahrQcsVECCFENyRPCCGE6InkicwhBSwhxOimtVwxEUII0T3JE0IIIXoieSJjSAFLCDHqyRUTIYQQPZE8IYQQoieSJzKDFLCEEKOfXDERQgjRE8kTQggheiJ5IiMonSHLQSqlqoGKdMcxhIqBQ+kOYgSR16tvRvPrNUVrPba/JyulniP++vTVIa31Rf39umLwSZ4QXcjr1Tej+fWSPCEAyRMiibxefTOaXy/JE6NExhSwRjul1Eqt9cJ0xzFSyOvVN/J6CTHyye9x38jr1Tfyegkx8snvcd/I69U38nqJkcBIdwBCCCGEEEIIIYQQQvREClhCCCGEEEIIIYQQIqNJAWv43J3uAEYYeb36Rl4vIUY++T3uG3m9+kZeLyFGPvk97ht5vfpGXi+R8aQHlhBCCCGEEEIIIYTIaDIDSwghhBBCCCGEEEJkNCvdAQjRkVLqJqAcGAOgtZaprN1QShUA1yc+XQS8KK+XEGK0kzzRe5InhBBHI8kTvSd5Qow0UsASGUMpdQvwntb60cOfK6WWHv5cJPm+1vrmw58opXYopSRJCyFGLckTfSZ5QghxVJE80WeSJ8SIIrcQDjOlVIFS6qbExyNKqeuPfNZR4/ouyeVF4IZ0BZPJEldLpnfZfBdwc4rDhRAjiOSJHkme6CXJE0KMTpIjjkjyRC9JnhAjkczAGn5S5U5BKbUgxeZa4MLhjmWEGANcqJSarrUuT2yrJzkJCSFGHskTKUie6DPJE0KMTpIjuiF5os8kT4gRR2ZgDSOpcvdoDPEE01F9OgIZCbTW5Vrrwg7JBmAJsCxdMQkhBk7yRI8kT/SB5AkhRh/JEUckeaIPJE+IkUgKWMOrrcrdYZtUueMKUmyrhbZkLXqQeI0uRP6AEWKkkzzRPckTAyB5QohRQXJEzyRPDIDkCTESyC2EwyhR3S7sslmq3HH1JFYK6aDr56J7fwTM3Y44AAAB2klEQVQu0FqvTncgQoj+kzzRI8kTAyN5QogRTnLEEUmeGBjJEyLjSQErjTpUuS9IdywZoJbkqyYFAFprmfrbg8RSwXdJshFi9JE80YnkiX6SPCHE6CQ5IonkiX6SPCFGCrmFML2kyp2QeA26JpYxyBWlHimllgKrtdbLEp9Lk0ohRhfJEwmSJ/pH8oQQo5rkiA4kT/SP5AkxksgMrAFK/MJfdYTDarXWnZZvlSp3Sg8rpZZ2WPp2CfHGlCKFRHIZAyzr0AtBppELkWEkTwwqyRN9IHlCiMwnOWLQSZ7oA8kTYqRRWut0x3DUSSSq+o5V7sP/PtolknE58WaU9bIkcGqJKeN1KXY9qrW+crjjEUIMLskT3ZM80TuSJ4QYvSRH9EzyRO9InhAjkRSwhlmiyj0deJj2poI3aK1ltQchhBCSJ4QQQnRLcoQQ4mgmBaxhJFVuIYQQPZE8IYQQojuSI4QQRzspYAkhhBBCCCGEEEKIjCarEAohhBBCCCGEEEKIjCYFLCGEEEIIIYQQQgiR0aSAJYQQQgghhBBCCCEymhSwhBBCCCGEEEIIIURGkwKWEEIIIYQQQgghhMhoUsASQgghhBBCCCGEEBlNClhCCCGEEEIIIYQQIqP9f2Kj5O5/jdKqAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "\n", "ax = fig.add_subplot(131)\n", "sct = ax.scatter(phi,psi, c=xi[:,0], marker='o')\n", "clb = fig.colorbar(sct)\n", "clb.ax.set_title(r'$\\xi_1$')\n", "\n", "ax = fig.add_subplot(132)\n", "sct = ax.scatter(phi,psi, c=xi[:,1], marker='o')\n", "clb = fig.colorbar(sct)\n", "clb.ax.set_title(r'$\\xi_2$')\n", "\n", "ax = fig.add_subplot(133)\n", "sct = ax.scatter(phi,psi, c=xi[:,2], marker='o')\n", "clb = fig.colorbar(sct)\n", "clb.ax.set_title(r'$\\xi_3$')\n", "\n", "fig.set_size_inches(20,5)\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 2 }