diff --git a/tutorial/source/_static/img/gpr-fit.gif b/tutorial/source/_static/img/gpr-fit.gif new file mode 100644 index 0000000000..ca3f8cb267 Binary files /dev/null and b/tutorial/source/_static/img/gpr-fit.gif differ diff --git a/tutorial/source/_static/img/svgpr-fit.gif b/tutorial/source/_static/img/svgpr-fit.gif new file mode 100644 index 0000000000..a623fdfd11 Binary files /dev/null and b/tutorial/source/_static/img/svgpr-fit.gif differ diff --git a/tutorial/source/gp.ipynb b/tutorial/source/gp.ipynb index 87cfb6094b..b1cd36b3a0 100644 --- a/tutorial/source/gp.ipynb +++ b/tutorial/source/gp.ipynb @@ -54,13 +54,22 @@ "import os\n", "import matplotlib.pyplot as plt\n", "import torch\n", + "import numpy as np\n", + "\n", "\n", "import pyro\n", "import pyro.contrib.gp as gp\n", "import pyro.distributions as dist\n", "\n", - "smoke_test = ('CI' in os.environ) # ignore; used to check code integrity in the Pyro repo\n", - "assert pyro.__version__.startswith('1.8.0')\n", + "from matplotlib.animation import FuncAnimation\n", + "from mpl_toolkits.axes_grid1 import make_axes_locatable\n", + "\n", + "import seaborn as sns\n", + "from sklearn.metrics import confusion_matrix, ConfusionMatrixDisplay\n", + "\n", + "\n", + "smoke_test = \"CI\" in os.environ # ignore; used to check code integrity in the Pyro repo\n", + "assert pyro.__version__.startswith(\"1.8.0\")\n", "pyro.set_rng_seed(0)" ] }, @@ -77,17 +86,26 @@ "metadata": {}, "outputs": [], "source": [ - "# note that this helper function does three different things: \n", - "# (i) plots the observed data; \n", - "# (ii) plots the predictions from the learned GP after conditioning on data; \n", + "# note that this helper function does three different things:\n", + "# (i) plots the observed data;\n", + "# (ii) plots the predictions from the learned GP after conditioning on data;\n", "# (iii) plots samples from the GP prior (with no conditioning on observed data)\n", "\n", - "def plot(plot_observed_data=False, plot_predictions=False, n_prior_samples=0, \n", - " model=None, kernel=None, n_test=500):\n", "\n", - " plt.figure(figsize=(12, 6))\n", + "def plot(\n", + " plot_observed_data=False,\n", + " plot_predictions=False,\n", + " n_prior_samples=0,\n", + " model=None,\n", + " kernel=None,\n", + " n_test=500,\n", + " ax=None,\n", + "):\n", + "\n", + " if ax is None:\n", + " fig, ax = plt.subplots(figsize=(12, 6))\n", " if plot_observed_data:\n", - " plt.plot(X.numpy(), y.numpy(), 'kx') \n", + " ax.plot(X.numpy(), y.numpy(), \"kx\")\n", " if plot_predictions:\n", " Xtest = torch.linspace(-0.5, 5.5, n_test) # test inputs\n", " # compute predictive mean and variance\n", @@ -97,21 +115,28 @@ " else:\n", " mean, cov = model(Xtest, full_cov=True, noiseless=False)\n", " sd = cov.diag().sqrt() # standard deviation at each input point x\n", - " plt.plot(Xtest.numpy(), mean.numpy(), 'r', lw=2) # plot the mean\n", - " plt.fill_between(Xtest.numpy(), # plot the two-sigma uncertainty about the mean\n", - " (mean - 2.0 * sd).numpy(),\n", - " (mean + 2.0 * sd).numpy(),\n", - " color='C0', alpha=0.3)\n", + " ax.plot(Xtest.numpy(), mean.numpy(), \"r\", lw=2) # plot the mean\n", + " ax.fill_between(\n", + " Xtest.numpy(), # plot the two-sigma uncertainty about the mean\n", + " (mean - 2.0 * sd).numpy(),\n", + " (mean + 2.0 * sd).numpy(),\n", + " color=\"C0\",\n", + " alpha=0.3,\n", + " )\n", " if n_prior_samples > 0: # plot samples from the GP prior\n", " Xtest = torch.linspace(-0.5, 5.5, n_test) # test inputs\n", - " noise = (model.noise if type(model) != gp.models.VariationalSparseGP\n", - " else model.likelihood.variance)\n", + " noise = (\n", + " model.noise\n", + " if type(model) != gp.models.VariationalSparseGP\n", + " else model.likelihood.variance\n", + " )\n", " cov = kernel.forward(Xtest) + noise.expand(n_test).diag()\n", - " samples = dist.MultivariateNormal(torch.zeros(n_test), covariance_matrix=cov)\\\n", - " .sample(sample_shape=(n_prior_samples,))\n", - " plt.plot(Xtest.numpy(), samples.numpy().T, lw=2, alpha=0.4)\n", + " samples = dist.MultivariateNormal(\n", + " torch.zeros(n_test), covariance_matrix=cov\n", + " ).sample(sample_shape=(n_prior_samples,))\n", + " ax.plot(Xtest.numpy(), samples.numpy().T, lw=2, alpha=0.4)\n", "\n", - " plt.xlim(-0.5, 5.5)" + " ax.set_xlim(-0.5, 5.5)" ] }, { @@ -133,7 +158,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ "
" ] @@ -147,7 +172,7 @@ "source": [ "N = 20\n", "X = dist.Uniform(0.0, 5.0).sample(sample_shape=(N,))\n", - "y = 0.5 * torch.sin(3*X) + dist.Normal(0.0, 0.2).sample(sample_shape=(N,))\n", + "y = 0.5 * torch.sin(3 * X) + dist.Normal(0.0, 0.2).sample(sample_shape=(N,))\n", "\n", "plot(plot_observed_data=True) # let's plot the observed data" ] @@ -167,9 +192,10 @@ "metadata": {}, "outputs": [], "source": [ - "kernel = gp.kernels.RBF(input_dim=1, variance=torch.tensor(5.),\n", - " lengthscale=torch.tensor(10.))\n", - "gpr = gp.models.GPRegression(X, y, kernel, noise=torch.tensor(1.))" + "kernel = gp.kernels.RBF(\n", + " input_dim=1, variance=torch.tensor(6.0), lengthscale=torch.tensor(0.05)\n", + ")\n", + "gpr = gp.models.GPRegression(X, y, kernel, noise=torch.tensor(0.1))" ] }, { @@ -186,7 +212,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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MgpRvLCL87I/E2B3G3PqCW8RDR4KpLbhblg7RZLArVIKtogSkN7evSYPIY6GUDovFoC7m1q9kf0d+97ZxeFNsma6qS1u+oQ1LrlF77z7SOBwHOBqnCyG7KDeAqgQDQgkGzkb2bl6oyuOU63iOxkK5/fjldXziirDZNI1nDaIYx5P0Wh3NLAluCw8dCU7TIeZ/J9v1NulUls8ftG2TM6AJxK+wQgDWDrFSqNuFGzkSjCV5+uLkHglXNFHS617/EvCpfwB0E9+nJcGPNPJb07ZGwQABiUFUG5MsnFd1b6sos0IAih3idJTg4UyQ1p21Djqu8AHPGnZJJRVYPre1RLSGh48Ex2We4IR8NVKCiQTn0iHsRAogjTvzNB3i8rAkeIVQF3O0lUmIl6QukO1gVWoRTdyDc0B/2y5gLQCIansA6HdsB0tjUFEt7YRKEnwGbIFlRXGAOGbmiHFuWWOdgtFUvMZax5N5+Y1J8DA7VlkluD08dCSYl0Sk+Yvk04a5FfCj2nWrALSwIIJbBt+2TV4diPi5HaC/I7zBhGVdy6QEByvq1EQqlZf4GO0C1gKpEnx1S1wXpvasg9EM33j3AabhI0hEaIyg+Y9I8JmwQyie4CJIS8TySTspwYOuuzgJTpTgta5QlE+sEtwaHjoSTLxKtyvvL6JA5iPSHEesKjk/lVXlWQctLHyDwjjyDVsleAVQOyoxBnzi7wBXPiN+tiwSTMRbV6B2Gshv4Vo//yOPSRDhaBzCdYCLG+K6KBNHRrMQv/Xybbx59xh/9udfRfiN/x5vvfXGaR3u2QFP5jonifmSDSjOghJc4QkGUjvjku99zjnGiVo78FMSPG0455Ef+MqmWHSMZpYEt4WHjgSXp0MskEqQV4IBqwYrkJ5gAyVY2lJsIcrpQ6olCRHsrgubALBEJTh5Xh6vZrKUjW7ySvCS7BBxDLz228Dbf7Sc57dYGLtDQYLOr3XTNu4lO1Pv3B/icBzgr27s48LBdwEeo/fuHxQ+/qEFCT4099E9Fa5ol0dFlBOqdHBPJyZtHESIOdDzHXiuI6+xpkrw8USMVVe2BAm2nuD28NCR4LikbTIRtEYFELLyVKmgtyRYIqjhCV7IlmKxGFQ7BEFex0va0VDvj9NWg/PtzoHl2yFO7op/+zeW8/wWC4NIxNbANxqPfGVcC7w1AIn16+jWEo/yDILuZUb3ki/uqzhcfeSgVIJL7BCnpFwPEz/woCPG1kXsEEEUYxLEmV0Len6LxfHQkuCytslB2EJEGpBOqrbARvrpTJRg12FwmLCu/PlbD+yq9jShKx4hEsyXVRin3B+n7QuWuabKfbtsO8Tx7fT/qyYGFloQGel6jqxjKKtRoHkFAJzE4x7FHPjwm0L5n63I6nPayHuCgbOTEGGkBJ+OHYLsCuTh7S5AgskKsdb10PddOAyYhrEVkVpCaySYMeYyxr7FGPvNtp6zCcgOocvK9pXBjvMaRDicCe+v6wsvMIEmU+sJRpCo6ybNMoDUu31jd4T3dh+RCeQsQCrBfvqzZe9oxCoJPm0lmBav/fRny7ZDZEiw9R2fRVBRm+860p5VVhgn6xd4DDcS19QMHWB4H/jerwIv/2vRefFhhyTBSuvfs5IQkY8x1eGUCuPmlGCyQzQgricJCd7o+WCMYdAVzzmyDTNaQZtK8H8F4NUWn68RiFzplGDGmBLPVYcEa1RgwNohFFD2sokSDACP7aSk5JGssl4V1MI4wrKvY1UNPW3vICnBqvK9TDUonAliRLAk+ExiluwGCiWY0mqKCQqRYCLAkdvD/XNfTJ7sRHxVP/eHFXlPMHB2EiJ0Y1sep1QYl1eCHYfBcxg4r18QfpT4gTd64pwPfPGcYxuT1gpaIcGMsccA/CyA/7aN51sE0g6hk4LR0BccFkSvWBIsQVuJvoEnGAB+9LkL+GtP7QBoXixg0QD5wjggVXWWXRgHnP5ESfcudbgClmuHOL6dtq0ErFXqjIIW3h3PTAkm0uxF4voN3T4Oe9eAq59LH7RqEnga0NohzkhCRFVOMHBqhXHDWZoRTGjqCyY7xCaR4I4Yr21WcDtoSwn+vwD43wAo/HQZY7/EGHuJMfbS/fvLWzHH0g6hJ8HSF9yKErxk8vARQloYZ6YEM8bkoGBTIk4RKymMU+0Qp02Cy5TgJRDU8V72e6sEn0kQEel4TloYZ6AErzkzbPV9RG4P0yAGrn8RePYnkycdLvegzwJ0JPisJERUdYxTf7dkwj5K6lyIsALNSTBlAm/0xOK9L0mw5R1tYGESzBj7OQD3OOffKHsc5/yXOecvcs5fvHjx4qIvW4iopDAOSOO5ojqNGop6klslWCItjDO/pOSgENkV7alBt6uxzOs4jrPk+rRJMBGTjBK8RDVocpT93pLgMwnyZnZdF67DwBgQxUJEiWI+V6xLJPjFq118/PIGQrePWRSL2pLOWvKgR6C2QWuHICV4xSS4aMdWhbRDLNkTTEpwV1GCG/qCKR5tvUtKcOIJtkpwK2hDCf4bAH6eMXYDwL8C8JOMsX/ewvM2Ai3mCziwbKfcyA6hIcH74wDffn+3Hql+CBHKwjgzJRhICbO1Q5wS4kgQXcayxSNLJcG55zxtojA5FF97W+nPljlp51/P2iHOJFQlGEjHrTDm+M7NA/z6t2/JjnKAstMVT8Tc4vfBeUJoaIH1sCvBcSziBhnLFoh7Z0AJjmP92JYHLYDD5S1OgyjGLBSRZpQKATRTgqOYYxLEYCxVlemr9QS3g4VJMOf8n3HOH+OcPwXgFwH8Ief8v1z4yBqiLCcYSAe7WlHBcpvFz/x4GDK8cecYH+4e4/bhI+AHK8EsorbJTZTgR3sBcWrIdz0kSFtPlPWztgGyQjiemKDG+8CDN9t9jTKMD8TX/nb6s2UW8kwTJXgt2e2ySvCZRJ4Eq5aIB8fiPrlzmJI6GqP8WFwzTleov9MwFnYA5ggS+DAnBemsEEC6qFxVW3TALB4NOBXVmhTafsfL2DJl17gaJHiSJED0fEc+l7VDtIuHLieY7BBOgSLpNlGCdT5KAN+/LVb+jEePvJpJmYWdOiTYKsGniyJbD7A8NZjunc4AuJZU09/405ScLhOzoXjPXi/1LQKA64kFLY/bVYRmQ/F+vZ7oxAdYEnwGEUQxYi4EEZoP1NQgIjEHowDf+/AQ3/vwME2/iQXZchMSPAsTZZTU4IfZElFIgikibYUk2CQeDTiVODeZDKH4gYFmSrAkwV76XGvWDtEqWiXBnPOvcM5/rs3nbHAMAIrTIdwmSrBUs1IleDyLsDsWT+LwqFH+38OEUCrB5nYI2a6UvHUWy0VZ9fSySLCcOH3g6meBrcfF9/kCsmWAiLZqhSAsI+Cf/MC9zXSssHaIM4e8CgyordxjjBPicfdogpdvHuLlm4dyfHdDQXLdnqIEA2KRBzzcTTOqlOBVkmCTeDQgve+jafu7XgnyGcGEJp7gSXJ99RRCLVRhYBLEMgjAojkePiWYPMEF76yZEjxvhziZhuBJ60gnDh5pNTOKOcKYw2H1CuMcR+Q2i+xEezMvHWVbhstWgune6W2Kr6fhn5wciK/9nfnfkTLc5hau6gc+pc5UFvWhJ8Hi/0fjQHIjdduac1Fn4iaLJi9R+qfUsEAqwQ+xL1jXKANQiOUKr3WTeDRAEAO3Iz7QJanB+YxgQtdLRR9TkO9XVYIZY+gnWcFntWEG5xxv3z85E77lOOal3fUeOhJc5QkmhTiuswqksH/FDjGahYiZIA6Puh1CN6mYQlWDLZYM2vrXbRkuK+5PVYKBtJL+NEjwqSvBCQnubi6/NbNFY8w01i3awTqaFF//HRaKz9Nx0en1M8+VXtcPsxKsSYYAsrFjq9rRM4lHIyxZuS5Sgkkgmgb17RD9nLXirPuCb+6P8fV39vDSe6ew41eBW4dj/No3i7s5PnwkOK4ojDPoEz+HIiXYceG77JEnwWrwfF00zU60aAAjJbjllbu0EiWDuCQLJ+2+jg5SCd6e/50sjmtxIpwei6+qEmzjE88cdIt2IihH42L7Sp8nC6buBrqJMicJzaOQEFFkhyB1FVjdos9UCQaW7gsuUoI7DZRgtTBOBfmCz4LSqgN1ubtzOFm51fHGg1Ep33voSHBU6QkWb7lWpJnGEzyaRYiZi0HXg8PDWhWfDxtoUul6bsUj57FIT3WLmigrHlmaHYJ2UUgJTgrGTsUOQfaEbfmj0SzEncMJQncJahAtMrze6kmBRSGmJZ7gw4QE61xdA56ovJ2N+Ur/ziNQGMcLlGBg9V3jIoOMYMKSC/koI3jOE9woHUI8luwPhEFCsI9Ldi5WCVLDg4jjYLS6uoggivHhQfk9qbmaP9ogblvoCWZNmmXkfI0AhtMQnHlY63hg0+iRJsG6ScUUvlWCTw9lxSNLK4zLLSBPyw4RzsSE7LhAZwDOOb72zi5uPBAD4uXJCb7kBNhucyJUlTJSvi0JPnPQeoKTHUIiFU9fWMeN3SG6niMn9F48AlwkSnBu3DoLWbnLBl3fTDPOe12xE7IqEhzWsEP4y1OCOeeyW1xhOkQdT7BUgrPPtdUX42nZzsUqMVRsGveOp9hZM/hcloAP9kaIYuDiRvEOwUOnBHPOAR4Xe4KdJnaI+Yi04TQCZy4GHRdO/GinQ0gSXKMojmCV4FNEaTrEkjzB8t5JSLbXE68VTpebnEB2i0R5/ub7+7jxYATXAdZ7HoaRj5v7o3azgiPF+rHM1swWC0HrCc6pJlc2e/jHLz6OF586J3/WjRJFqbsulTk52bvLSQMZz6JM046VosgTDChdGFesBJPKW4YlKsGTQMTvdT1nLjO/SSTopIIEH55VEqx0XLx7tLqF4dv3hdjy9IVB4WMeOhJ84dYf48nb/xEu9BdaGpG2mCd4mBTGDbouGA8faSVT2iF86wk+0ygrHinxBH+wN8K/femDZoOZnDiTe0fNVF2mGkwkuLuBg9EMr985gcOAn3j+En7y+UuI3K5YCLeqBCfv1fWtHeIMgxIduholmEDbzQOFfHRjIsEb2MyTkCXtpHz1zfv4ve/fxYcHYrF253CCl28erMZnWeQJBlKL1cqVYL/8ccBSrRtUH5MnrUCWBJt+fkWe4M1eogRPgpV7bnUYTdN55P5x9jwHUYx7x8snxu/cP8H94ym6noPHzz0qJDiO0B3fgReO4BQU3tRWguMoaRXpSLVsGkYIIw7H89B1XTgJCT6LF+NpQKesmMI2zDhFhCVqSQkJvnM0QRBx3DtqMGnEOZIAnI4veJoqwURUrm33cWmjh67nIHK6Itu6TSVYJQmuJ8aMOHq4u4h9BEHjlVrDkFeCqfBIrcrvRsn12llHz3fR8x2EEReq15IKS3dPBLl75dYR7hxO8JXX7+F7Hx7NEYtTQSkJXn4TilKUNQLKY8lKMDBPWgERCeorTVmqEEYxgkhEj+brbTqeg0HHRRSLIv2zhEkQIYw5PJeh33EwDWMcT1LF+uWbB/j9V+7h1dtHSzuG4TTEN98/AAB88cmd0nqlh4sETw4lEfWgH4xqK8Ea9UxGoPS6cBjgMXHhP6pb+jplxRRNKmYtGoIGfZ1aUqJkUQVyo+tb46c/FV8wPXdnTXZWompt33UAv4so5ohmy/AEJ+/VWiLOJMo8wfR/IjE93xVFcpzDJxLcFVnXtCV9MA6W56lPcP94iq++eV/WvKykW1gZCZbX+qqUYBrb6kSk1TzWySHw9h+K1u9FD5FzoZ50pcVx1Z8fNcrIx6MRzqolgq7N9a6Hc2viXNNiDgBevyMEim8lJLVthFGMr75xH7MwxrXtHp6+sFb6+IeKBMfjQ8Rc7Lg6XH9heHWV4IKiOADod8UH3CES/IiqmTplxRTWDnGKkGpJmRI8P4mT57vRZ6RVgk8hJm2aqAzddRlZpFZrux1RyBTOxjXbRxYgjpUdo2RYtVnBZxI6te76dh+XNrp46sIAP/GJS2BKTcmg48GLxnAZRJOVxN++PUhIyEglwe0SEnVzLYy4nL/Gq2iSUNQsA1CI5YqudZqnl6kE770D7L8HPHir8CE0VuqUYEDNxa/mH1WEes6Sc0ZA/GjQcXE+KYjbHabXxUYvHYf3hu1fL+88GGJ/FGCj5+GHnj1f+fiPPgm++Q3gna8AnCNKVmgOY2LiGe3N5YA6Ts10CA0JpgFo0Bc3nP+ok+BF0iESBWZqleDlgvMKT3BxYRxd743U+nxEGgB0N8TX6fK2w1IleEPu3KwpJLjre4jb9AXryL5Vgs8kdMVGPd/Fl1+4jB9+9sJcJfmg48ILh/AcpFYe5JQ4V7FDtGSLi4IZIuWeu7rVwwvXhAq9GhJcFpG23NixSpRloOfRtFkGjWUlMXhFhWyEOqKP7BZXQKjPqhI8lDnJHs4lJFglu+p7f/t++0IInbenL6wZCXMffRJ8/1Vg711gegw+OgAg2lti+AB45deB7/+7zMO9uiRYkxFMAekdX3zA/qNuh5A5wbYw7swiCsTk7Hb0+YElnsbJIiRYc//I3F7q6LYMyMI4RQlWwuuFL7gj3lMbSq1uq9gqwWcOccxrp9nsrHXgRWNBbDrp1mqqxCWfb5uWiGCC+Fv/Alcf/Bm6noMvv3AJP/bxixgkW+OTldghytIhVlgISr575qSLkTI0jbOj91ZSR1A1F9aZ79LnKlCCE0V1OD1bNQeq6EAkeH84QxzzzP0HALtLSD6hXX6yvlbho02C4zhVWabH4MmkyhgDju+In4eTjBpcuzBOo57NoqRDmu8CjgvXYWDxkhIiju8Cr//H5RKGBbGQEtykeYlFfVR55gom8DCKRQEZGi5U6HXVbUrq4DY5bMeKMPealBHsAX5fetQGapGT5yJmnrju2iAtajwawZLgMweVpDiGk+TnH9vGT3xsS1TkK1ai7b64l47GoahFoc+7jevp8AMEUYTB+A46noNLGz04DpP+0NXaIc5Ys4w6LZMBkWTBmLhn6xQy0oI+KK5lqFSCZSRo9etWpS4ROT5rAhLZIda6Lnq+i/WehzDmOJoE8rql9efRuH0PfZiINb77KJBgdXKZHiFO2qQ6jGVXece35H+pWUZsumWlsUOQEtz1XMDxlts6efctQegPP2j/uVsCmfybKMFukzbWFvVRVT1dQILVVXujnQ5STfx++jPXF5YIHje2RJTeazIjeA1RzDEJYjgs23Wp6zvgzEOoLqQXgRqPRrB2iDOHKpKig+MwbHjJfaF0W+x4Djqeg5DULbqH2vi8J4dSGPAVsk7X8Nn1BK/ADkHE2yQejdDEviHtEAZKcJEnuEbXuKp5NW2+cbaU4JFihwCAC4ka/OHBWF63W30f3eTeGc3aJcKRVILN+MhHnAQrq86jW+DJJO0wZItuDj+U/61NunQkWFU+HQ+u48DhS+oaR97GVUXPVCCMYkSxOOf5cHATpPaUs7WafehQ1igDKPQEq5Nt7UVeFIr7x3HnX5csEcnCtQ4ORjP8yjdu4q9u7OkfQO2Su5tygO133EyxU9dzEDueKFBpQ7nT2iFsVvBZwyQs91kWItQXlfrqfNKmHWL4QE7mPSd9PiLv4zNnh6BmGSu41usUxRGaKNekBEdB4ULHNB3CZCydGVorSJQ7K8jXYDyZpDO8fX+o+JxdaSdqWw0mbuc9EnYItRL16ENEibrLGMsWJxx9KL9P2yYbXjiarZaM78fx4DkMjIfLIcHB2SbBMhmiQaMMQLGnGFTLWiyAKOdbzKPAE6xe02HM62VhUwGJ15//HVkiSuKGikDFFG/eLSiqGCXkeHBOsUJk37ewQ7hi66yNiv58PBpg7RBnEJQM0a+hBANQbD1ZEkzjVxTxUl99LXAODO9LEtxlKUnoeg4cJtIFTt1CZqQET1srDDRGXTsE0Iy0q8S3oDiuqLkFYa7ddgmqPMGuw+A5DDFPLQCrRhjFmIZi543OwbWtHta6Lk4mId7bFeet77syJeI7Nw/w77/1YWudEaNHyhOsKsFxBM45pp1zmHvvwVgqw3LQMr1mNFXfmW0Kx4PrMjjLskPMkpvtjPakl35gt348GpCG1FtP8JIht+srPMG5SUFVnDg3i/aR0FkhCP2d5AUOzJ8vgTopaEn5aFd8HZxL/Wm5rM2uR3YInm5zLoJY5wm2doizBqnU1VaCacs9e/+Q2hTEcXtK8HgfiEMp1HSQXj+MsVQNPm1LRJknmLHV7XxoOrpWokmHO3WxrLFExDFHEHEwVlx0SfOkibVsalBrU8decRoYkujQ9eTOG2MMz14UqSrv7yUkuOPKrne7JzOMZhG+8V59QUQHqQQ/Ep7g3AUcc2DUvyI8wXkkE1Ht7XcZ8aQUxuXsEL7rgPFIbrW1hihIb/AzqiaZ3KhlcB0GxsRnV6uVtUU96CK8VHST6KfpcebHk9xEWyshIiwhwTIhYrGBb6jbFh6TEnw+VYK7OSXYdxA7fotKsGar2NohzhyaeIIBFCrBmUV8W1nBwwfiJTVKMLBCS0QZCQZW5wuWlsUGSnAdEqwuljWNflSrDdNxELRrh6j7fKcBEh3Wu9n768nz2bbFqhJM2D2Zyfbgi4C4Xb4LZBE+2iQ4p7DEHBj1LuurfpMbuLYSnFtlzq32EjuEE4fte3PUG+2M2iHSIsHml1LtxA6L+tB1blPRWReTWzDKXGv5zka1SLBUgjV923si77RJ1zhVRTnKZ2TORuJ13Q7Q3UgzvXNKcMd1wJkrbDitpkPYiLSzjLRRRk0SXFBYmqkxcVtSghMLHF3mnVzjJ0qIyC9Ql44yOwSwutbJTewQdKx1OtxVKMGZgvkC1OmQmu44lzyfTJs4GyRY15gIADZ6fob0qp5gAOh3xPt4825WhGkC2q189OwQAMLeOYROD5m3TipUMkkxxqRdwshHkyPBdLF13GS153XhuwxuPDFqhWiEOAZu/Clw/7X0Z2eVBC+QDEGond2s4HAc1POpPqqoUnEYA3pb4v9JYdk0jDCeZe+RWoqDJMGaDnWuL3I947C2HUE9hqNJjgQrVgj1sfntya4vItJC3pYdQtMUxNohzhxSta4dJZgiHsNITYdY8HpK/l7aIViOBPurIsElhXHA6hpmNCLBZIcwXKBynvMEz5Ngk6JL2RyqhhJsYoc4K0rwyTRtmZzHte10R7DfcbGhPOaFq2LumbQgJEaPRGFcFAJHt+eIYdA7j9jpZO0Q1OFHWZ1LNdiEPOUKXmSjDLow/T4814EbTdtTgg9uAA/eBO69mv5sVT3ZK5BGwjTzBAOqElzv/N14MMRvvXwb3/rgoPFrPzKoIsGAUqx2gOE0xL/75ofSw0UDSi3FoUwJBpqpMcgO+IejHMFUrBDqY/MTCaVDCCW4zcI4nSfYKsFnBVOyQ9RZtFOMHmOZiDQgt4vVlic4uR4DJl5rTglelSc40vuiJUglDz4CJNitad3If6aawrg6SnAVaZ2FMWIuxt0yRbN7xjzBI6Vlch7XttMFZN934TgMX3xyGy9c28SVLfG7Rg2Zcng0mmXc+BPgjd8B7n5ffL95DfB6mG4+jdjxsg2xqMOPchGTYdqIc+VusGmUUz69HjzG0OEThDFvp0pTR87jqB3FqmVMm0YOKTAujhvticYhJ/cBAK/dERmzr91efAvloUeVHQLIKMG7JzOoH8d6spXVTAnWeIKBZsUpyA6UR5P0nohjjuhE+CnRF0pwkWfdT6xMUcwRBW12jLPpEGcZ4yae4AIVGEjnkjDi6We/KAlO7tWJI+4bH1kSTEV9bahmxsh0ZSsYQ+g+X5IS/J0PDvCr37iJ4/zuTyMlmNIhDMee/G6ORgk+SQhg2bUldw4q5jrT1KW0MO5sZAVTjcaaRgm+tJElwQDw/JVNfP7xbblT1woJls0yzDiJQY/BM4j9G9nvL3wcOPc0ZneOAHYARjep6ysXe3oRk1IslMeKwTBHHnRKMAD0kuKFSRhjvUFervY1534+NWsLeYqYGKx+q2DsCd5/VzQO2XsbWL+IzZ6PvaE4V3HMjTtAPZKoKowDMtm9x256DXY9BzuDDg5GQc10iJKINKCxhzCjBI8DhFEMz3Xwn169i/PvvoMvXvbgkB0iKt5S9Dpi0hzPZlivdQQalOYEWzvEWcG0iSe4pNuip+5iFWRt10Zyr86YuG88nl1EeQ13zhZCQTpGBkvoGnc8CfDnb+9iu+/j7fvCK33rYIJPXFGIeKN0CDpWwwUqjZ8Uvzo5FF+VXef7x+J9X1gvPkdOUgjOefmcNQ3MbIapx/hsWALTbnHz84zrMPzc566Cx5h732QTWZQExzFHnHwsD7cSnEdyQZOSyOhG9XrK6jydiGrFcuVJcD67L5nIexA3QCs+raLV6Rn0BbejBBt6gqmISrMVtT+yalspdJ7VPBQ7xEmisH7pyR38wuevYS2p9q2XDpGQhyIlWJLEmiRYOYZZGON3v38Xw2mI/aMhovERAs4koS/yBAPA+Q2xS3TzwWGt19dCR4IdqwSfJcgtZrd8i3kOstGMRgnWpkO04wkmJbjDs8+3klhJuke9MhJMi9rFK/wJtw8n2D2ZSQIMaOoAFkmHqBp7ohB45deB978uvu9tC4tlMAJO7qYPi7kkwZc3NTUQ6ksbiD5li3cV0g6xig6COXz/1iFGswiMAYOCReZmz8fWYH4O8lyRfx3Fi6VE1bVCAA8LCXZzJJhWeV43VU4VNYbmQ6NBRCpoSWFcvi2iVILFRNeKNye/OiXicgZJcCtKsGkXP8pMTr5OFTL04MQSjVJEmu36PDobYrtzdoLhWExkm30PnuvIrSXj65tzAztEMyWYjuHLn7yE9Z6Hw3GA7314iM7sQDxdZxNwHHDOS0nwJ67vgDHg3sHJ/BZrXciJWJMOEYeG3iuLZaJuwUz6h8XdFj2pYLXvCSYS7CGnBKsWjNMCzUnu/DmQWEI6xEgTA3eQrwNYxA5RdazjfWHDO/owfY1zz4j/774tH7Y7nCKMObb6fuUuAzXsiktqkkz8xUC93OFl4s7hBN/5QIgJn7m+1WhX1m8h6aLJPf7RJMH5iz1ZnUpSq1WC05vJNV1JqxWhUgkWzyMn1eTG7ybFC60owXlP1eCC/udnAK2mQ1QN6tQKOyFX6rZ4W91mHlqY2CEcRxaxjUdioUFVvn5dz1Y4BXgsJpvCSKXyiWg8i+ayUOOYy8n/4kYXn7i8AQC4uT9GNzgAAEw7O8mx8uTYmXZQ3ugPcH6tC8QRbjzQd4Ayhq5yXm0g0EbxncVCoELoWiowUKEEK7tYbsueYCQkOHfteKb2sTZREBGXwRLSIej+/4FnzuEffOE6AGGByiBcxA5RMW/kdx3dDnD+WfH//XeluHD3UDzPla3q1s20iCnjH6b5+2clHeJkKj6Tpy4M8OnrW42ew68RH1cEsgg9/EpwflJNVqe0smK0ZeN1tQHmnmk6hEqAk9UbXWy9nBLcwQzgvJ2ECFIenvxh4DP/EOhuJD8/e2pnI49dDkbpEJxn7RCKygcA944nchvl1dtH+Mt393DjwdDGpxF0SqUOro+Ic4wnUzCW9n+v0+4TgFJMVDZpFk9EcczxH793G7/xnQ/xwV46Ec1k0QMDYwxb/dSm1E2U4Km/nfwsWbAWTSSOi82+B4eH81usdVGUvmETIs4M6rZTlQjLlGA1Ii0ZAxf1gMchYg5MnAEcBrhx9tpJs+5PkfiYqK1LSIcYB+K+6vsu+h0XHc/BLIyzi2MTgp6HGtFY1uY6T+gdV9jG+tvic06a/dw+FMKMWvxVhLQmqYwE1/MEr5oEy8YuC4hhHXVXpSHoHjctigM+qiQ4P6EkK0BSiBxPUYJlhbZSGOcYbidpbny5QqM2wY4LuB34DocTB+10jaOVbW9bEOAlFBy0gcYeuxyMPG7BWCiLgPgaTuSN77sM41mMDw/GGM8ifOv9A7x17wR//vYudoeWfABQlMoKtcT1MQ1iODzAWteT90ptJVh6kEsmzRJf3sksxCSIEcXAn7z5APvJ5xjkvHJbSuA6KcETfyt5rLieilqYwhVbl04czDfdqIucbUp9DQC2OO4MgMYXbUfRMpSRYG1E2oJzQBQgimME7kCMq9E0kxgkifdpKsFGhXHlSvCtgzG+9f5+LWFCdnxMIre2k/v9YJyM65yn83TV2DZ3vAbzaj4FQu4yJxavOMBwGuLByQyuU+0HBsxqYGb52qMCSHFixXaIUDaoWDwlajEl+FHwBFNUiwqWVXb1SrASkWZaiKXZQtbmjvo9kRUcT9pRgqWKlrwPuvHOGAmetGCFAAzTIXLbUnw2kjf+C9dE97G37p1gOMtuRZ56a9GzChM7BAA4PqZhBCcOM2HmtRUHk4mppM1qnpTSYibfSpTUISeaoRMcAszByBPXQ7US7Iu8ykQJXmjXoKibllWCzwzixnYISoco9gSLwriW7BCxSGGJHV8IOrlGDZ6piNMmjArjOqUNcL79wQFevX2M+zWsazR+U5c8KqqSvmB1t7YuAZPzaolynf+dTJ5Ka43e2xVz0/XtQaV9AUhFOBMSbGqHaL1bbU009tsr8FtQtemeeLg9wSWTCX0QfOspEZa/9biWBDusrh0ivfGJqNHgJ77pw3cdeNGkHSU4yhUhNGwqsGy0YYUADBcl5AdOEExOwBMV+mOX1uE6opKYKnQJthVzApOc4OT3kzAG44HMBgZS0ml8fZvEFpXEFB2Ns5Moee1nmgzIrb6PtcltgHOMuxcxjZMkizBRggtJsGh53nWE4jxcZMEUWTvEWYe0Q7SoBBOhDtSOcYuQ4CgEOBcJJ8yB15kf+1fSZt6kMA4ozQqmxJnh1Ow+C6IYQcThOqkiSkqw9AU3KYojyHm15N7MK8H0GTvpDs97u8Km9+T5gqZA+Zc1mO9MPcF+kqoQxvx000JyaKLA5mEakzaeRfjOBweYhhGmYSTzmcVxPAqe4BI1VF4EW1eBF35etE7VbEeaGNMzf6NM5HSSMysNvwfPYXDiaTtRJflBt2FTgWWjjaI4wHBQJz9wgmA6lK/d9Vy5DXVzPztotdK85KOOOBYWEuYUF6kRXB+zMIIbB5nWl7TQMVYcTGKLypTgxKO72RfHQE0OdMR2e+BjML4FABj2r0olYRbliljzcMT56PkOWBwuZokoiqCzdogzg8ae4KisME6NSKOc4EWuI/G301g8ryTBytjvrdITXOW7zd3Th+MAX33jPu4cTuT4PpyaLRLonu935schqRY2yQiWx2owr87ZIUgJFn87mU6wPwrguSzTFrgMJh1rZUSagbe1tlVtCWhDCU4bZpTzstfuHOH7t47wyq0jfPWNB/jtl29jNKNW43QcD7MnOD+ZUFtkFKz0y5TgShI8f4PJk6xenIoSvHBEWhQIwuJ46aDqnk1PcBvxaIC6KCk5d0SCk3MSjsX3dONsJgrBbm6r7ayEiBPevn9y+kkWplYIAHB8hBEH42FmceM6DL7LEHPD7kQmJLjkuiZCSoUmqRI8T2y3ug7WJncAAMP+NTlBGqkpiSWC8Wix4jhbGHfmIT3BTe0QZRFpbXmCk/tmypNUli4pqwoJdol44/QKf6taJhO8rBL8u9+7g5v7Y3z1zfvyISemJHgWwQtO8MTdPwAO3hdPr6qF918XGb4mx6WDrEkouTfzmcekAFNa1FScl/WuZ7y4kiS4ZG4ytUMASmTeSpXg+gpsHqZknrqEvrc7wv1jEU1392iaHIdmp74CC5NgxtjjjLE/Yoy9yhj7PmPsv1r0OUtBF+zmNeC5nwae/9n0V3KQUx6/kCd4PltV6znxe/BdBjeeYRJEiw1Muq03SoeYtBDq3yKkErxAowzA0ONGJDiJiwsmwh5BgwT5V+kjJQXxVLsqVeAb7+3h6+/s4Suv3z/dal5TK0TymDDmcOJwbgAmFcaoXauRHaLY5kMD3eVNcR+QN5CIra8c2xX3BC4P4a+fQ+ityccYTSSOJ4rjeDhnwTAG5wYk2CrBq4b0BDe2Q5RFpMXtqP7JdTSNxfN2uskWe263xJM2jFMiPqGh7UApNiOCAmTHdlMleDSLcO3Bn2I9OgDe/iMAKVFyRveB97+WPpg1EGJMco3zSRf0GSf3eZC0XK+zG2qShpSvfTB5vlXaIZoosHmY5gSTrUbNkCZhaVWe4BDA/5pz/kkAPwjgf8oYe6GF59VDnVy3HgM6qQ+HBrnMB6EZmIwvGo3fSLul5vXhMoY+myKK9QHfxtB5nLrr4vtwMmcLWCWIbPQWVYJN0iHofa9dBADE0g4hXnujlyVbm8n3Z0UJfn93hNfvCOI+C2O8fuf49F68iKDpIElwUEiCjSw/Jkqw44j7k/OML3gSRJiFMTyXYWct2XZMrjVd4sOmH+Lzj2/jY49fBZBOIEYTiZuQ4EXsEDJ5w820URXPb+0QZwVakaQKnJcmI9DYFbbVLIMyghNfu04JBmpY+tpCScOQDIhYBmO8evtI+xBjJXgawg+OBTlK7isiN1t3viY+m81r4jW3nzB6zuyxVtgh4mheJabPmBKpEhJsotgSTJpl1LFDuKY720uE5EU1FNg8Ol6ysCsRiDjnMpNYxYNjUoJX4AnmnN/mnH8z+f8xgFcBXF/0eQuRLxpTEGrtEPNtk008OeIBWQWNc57K7epJTn6/7onfLbStWqQ6DM6Jr0ku4VmA7GqzoBJc6QmO4/R9bwqiEyYkmMz0ahEXkNojWvcE778HTE+qH5fDXtLWmcLUX71zdHpqsEnLZILjI4o5HB7O2VwoG7s1JRhQLBGp4iL9wD1hVQCASbKw1BLbOILvOuh0xKRGlol0IilZpDk+ur4DxkOMmvr5i+LRAGuHOENopASrBFjDnrMRackiiMfNOwRSt7hIvFa3r1eCjbLV20RDJViH0Swyao0bHN0GkBDBpImP7zrwwhGc4ETMkR/7aeDz/wS43EB3q2qdTH5glfjnCuPC2SQ9RkNU2RdmYSyKvh19k588zpYS3IYdovh9jIMI+SmdMeBgHCCI4tXnBDPGngLwBQBf1/zulxhjLzHGXrp///7c3xphNkwvTM3NqF3pu4pPKxeRU7cwTiXATOM7Xk/mwMbbqsB8PBqhn5Dg0V7z524ZQY3VahkqVY3JgSBy3Q2RnQwgmopYmm5CktY6LtT7b7NHdogWB4aT+8Dbfwh8MHd5V4LI+PXtAbYHwne7cIMGU0Q1PMGujzCKhRLs6pVgo4QIUxLszfvy9ofieLf6vpj0HIYw5giiGAfJYiKTSJK8P88X9wwtzkztEB5jWB/fQjRqaDcqs5tIJdiS4FWDJs9avsWKpi+Ow+CwJMUsbkENlkpwQoJ7RIJzSrBp19O2YFwYJ8Sb2XSEaRjDcxiu72QLxjgHbuwOcZhvf5zH3rsAkvs3ich0HQY/OBLKe3+7fixa5lgrlGD67JW6I/Bk7Evua2mHqJGQVFWTRIt3U3HpLJDgdtIhqj3Bx4kVouc7YAw4t9bBzqADzoG94Wy1OcGMsXUAvwrgf8k5n9sH4Zz/Muf8Rc75ixcvXqz/AqM94Lv/Frj1LfG9ZsLR2iHUxyYDTP3CuGxb5rkTnAx8g2T8W4jcFCndfdEKFuOzR4LrmNB1qFSCR7vi6+C8HITjRJkgosYYk2pwz3fkoNRqxew0uazzFcMGoNWt5zKpqJ5aNW+ZUpkH2SG4xhPskSe4JTsEkEYqKRF4d47E5HMp8QP3kozQBydTPDiZwXMYrmwpOyUJ4fC8DjxHFO8FUWxGgl0Pnutg++g1XLrzFSOFag5ldhNNx0qL1aBRYZwkf8VNEDKq7KIkmLrFJSS41yvwBJ9mMVQciffDnNJF7et3jvFXN0eIOTAaiZ26zb6HnUH6N/2OeF9/8c4evvLGvcLn4pxjvC+KXfu+K44hnKHjOuiER6LuJhFEGqPKE0zjvN9PxzGah5PzEIXivq6lBFcsYNImUDVJ8Aq7o7apBJd5gokEX93q46dfuIwf+/hFXNwQn82NB8NGx9EKCWaM+RAE+F9wzn+tjeecw/BBpmuObnKVHePy7yoXYk4XTeWEl6uqL6w8TG4IutePW7FD5EjwoGUluIVtNCJ2dbYedEgHhYJjGj4QX9cugFpYR6FI0VAJDvmCBx13OYHyNCg2UPXUm5O250/NDmHaMhlAAFdsxSGaW+wReTdqQGKa35l4vHF8F4C4J+8mJPhqQnR7yWf8WuKjvr7Tz15zyn2qNvWQdoiKdAgGcU974ahZ56UypV0uwBdsoGCxMFKRpIkSXEyC6VoMI54WaPGG1pooQBDHiJmPnu/A0USkAafcMMOkWxxEdNXN4xjDWYjJWCi3Gz0fOwPxdw4DLq6n53E4jQoX1PdPpsD0CF3fwWCQLASCERyHoRceIeZA1N1c7H0Z2yF6wKf/B8Cn/n5apE52CKkE19h+Tx5aRILr7rCapE0sG20owR0DJZj85Bs9DxfWu+h3XDx7cR0OA96+P8Stg3Ht42gjHYIB+O8AvMo5/z8b/2HdpINZrpBIsy1T6PnK5Te6xs0ysq1faUu7UAl2xe8Xs0MUDDi9bWF+mR4tPqHGEfD9XwPe/P2Fnob8aP4iW1KoowRfSP6gizDmcONZxhtKubaDjpdOTG165mhCbKDyyHxp15E+ZiMSfHxn8YWPactkALMkmqnL5t+jLIwzOW7TWLYN4fHGscj5fTCcIow4NvseBkk+KHWLun0gzv9TF9Zyr0XvLyXB4yCSZL1XRoJlwU3SeWla0j2qCGUtojU1CRarQaO2yVKUKCaAmfGLxsKmMWnRTLSjZ55oFazxzGdf8xQW0lINLyfB0yBG5HTFvTcRZGSz5+P8egeuA2wPOnMC0mFBMeqte7tgcYjtjdQCR6S0F4ldo8BfkARLO0SBqBEqSrDfS1VgQFGCszuSRi9rqASbFtuduj9cg0j2T1ggHYIK48pIcKIEqxn224MOPnVtC0DaiOW0c4L/BoB/CuAnGWPfTv793dK/mJ0A3/s1YLhr/ir5YiTNtgydOy9/QebUGNe4WUbW15h6gnPPn5DsrsPhMGH8b1SQFUyAvbfF/3u5G9z1hDeJcyBYMCFicghMjyXxaIowKlDGa6I0si6OUwvI4Lz46vqIyLeqDBTnkiSBzb6vdHI6G0qwGt0i1cqqa2R6Arz+H9MszKaokRM840lVOpufxEntGLdph1i7KI5rfADMRrh7KEjHVcXuoPp/u56Dq5s5VU7x5NKi6MHJFDEXBZNz44GKZIEh80dH+or2Usjzq/EFKu1VLVaLiDdQq0ri0Qi+Op9IJbhpYVyEIIoRJ9F9aqGZikwqxbJRUoxOCKNYdC1zOxjPIkzHqR1i0PHwt164gh997gI+fnkDGz1P7iodaHzB944nuHNX7Axtn7uQWqYSX3A/EoJY2GlJCS5qmxyW+KCTsTReICKtiH+YdouTz2eQNrFs0HXYiic4LH4ftGjKF8J/6tqmvKaAU84J5pz/Keeccc4/yzn/fPLvt0v/iFbJkwPzF8pHg+Um19Svq/nbvB3C9KIp8ATPbaclN4TDI7kl/29euol37tdMEfjgLwTR2rgKbD85//u2tlbpXMbRfA5iDbTuCdYN6NNDcZzdjXTl7nUxjWI48SxDkJ48N8BPPH8Rn7q2KVfmS1GCoyBrzTH5U2W7SN2yL8WwYQFpHjXsEDMujq2DBZVgUzuE4wDrl8X/j2/j/kniB95ISUdf+Yw/cWVj3tOp5HnTub2XhKdTm9VCXP0sACV3ddyABEcl6Ru5sWepOLoFvPxvgJNir+WjjEYd40paJhNcSUhjZdexuRIcRDE4S3ZCpG91hZ5gg5xxGhNip4NJEGGaKME0H+6sdbDW9XBurYO/97lrUrmjQlfCO/dP8Puv3EM0OkDPd7G1c0EmQyAYA8EYHg8QOz5C16xDWyG8jvA5x6H+85INQjSfPXGCkEiweWFcFQmuqwSnheXGh9A62vAEq0krOqvqe7tDHI6F8JUf1x2H4ZmLaQHjqXuCa4NWyXUKjGZ5JTg7uRLZ0W515YpTUk9OxWvmCl4kkcmTPqUY4vx6elzv740qXkDBbCSqYR0XeOpvzOeNAu3FLannMqhxjDnQ+VjUDlGqBM+S41MqdGPmYxbGcHm2ta/jMFzdSrr3kbJXsqqsDfVc1SQ1qnXEtD1kJg5vkS5UDewQOiVYFsZVeYI5r9egY+OK+HpyTxY+bCvFNOo9/bFL65iDosQSUSdf8VYVCT73DPCFf4rZznMAgHB8Ur84zigi7RSU4Hf+WCxwXy/XIB5VxI3sEAn5LFFBMzFpCyvBIYKIJ0qwIxaujieeT7mGjBs+tQE5DxYTPfL2cuZiFDLMghBOHMiUnjzo/j5IlL3vfXiI7314iG9/cAAAeHYzwvNXN8B626kSfHgTeO/P4ToMgb/Rzi5fgdIOoDzhJvmZLNCuoQR7Ffa/OhnBQHo9r8oOEcccMReUpXY3RgWMsdQqqJCzSRDhW+/v46UbYj78/OPb2t29Zy+mNjlW4x5fLQku2obII44rleBYWiF05DG7JZmGS1dcNDk1iywOc6RPIcFffGIHn3tcrHKNqugJ+zfE183rqfk+j7b8haq1pGHzjTASWYaus9iFD1R4gol4Kk1RxvDAObDmzRdvEdSBprXWoqpqXpPUpO22K5TgOAbe+xrw/X8HHH2Y/nyRltmxOSGdxiKY3mN8rniy4zlwHXFOS+0+KgE2GYy6gthGszGG0wgOA9Y66eT52Lk+PJfhs49tZaPRCIon+NKGmNRoglTJdCFcD25PHMPt+w/wb7/xAd68W6OZSRnhP810CJaMSzz57M5Qt8Q84phjb3i6sXHNlODyiDRAUWUjnhLFxoVxM0Sx8ARLYqVRg0/VB2rQbEfdHRrFnrAiuWGhFYkWp4ejAHvDGV6+eYiXbx5iEsQ4v97B89scXdcBelupEnx8Gzh4Hy4Dxp0L7bx3uUjVjK+ldggXYA6iKALjUS0STPNlUU1SnW5xwAri8nJooyiOQPUfKnd65fYRXr19jGkY48pWN0N2VWz0fDx9YQ1rXdds3E+wGhKM5MMyVYJJufRTIlRPCdanQ1QqwQU5wfOFcWlIescBnk4Kd0w6x4VRjN2TaUqCd54qfnBb3acySnD9uC+gxB/dAIwxaWOZI1dE0v30wh+F4sEbXvEHyBirXHHXAufZPvI11fhA8UyV5iHe+BPg/mvCI0upGA1eL4MaOcHTMELMPHGNa4gbkdBSX7CpFYKQPG6UbKGu97zMwmqz5+Mfv/g4Pn19q+D10vv06lY/kxddqQQn8BIP/vHRAaIY+Ksb++Ykrcxz7ThifOB8+QkRykIRb/4e8PK/Li76WTG+9cE+fud7d3Bzv/lOVF1ETZpl1I1IYwvaIeIQYcQFCaZBUaNW0hhyOkpwusgsgkpaIkcc72Mbxee557vodxyEMccbyoLTcxi+9OROWjjf20yVYADwujh4/MvY3f5sO35oeW4190nFOBZCkH1fk6RT+pIVaQ517RBVaRPLRhtWCMIgIcEqd9pPxuEvPLGNH//4pVKV94eePY9f+Pz11TXLqA1TdYtIW28TePYngad+dK5SlRaF2osxRx6NcvXiSCjWzJGre1XNm4OiBqd5qnHl1up3bh7g91++gXu33xOvU9b+sa2t1QwJbqYEt+UHJkhfXf58aZTgUSTOL3XoK0JGoVkU4TTrA65ph0irZ1MleM5bO9oD9t5JFb3ME7SRPV1NSsVWrC+2pTSvSf7c0pg000YZhOS4xuO0orwWcp7gi4ka7DDz5/L6Qgn2o5SUvXTDMJWjzBOcHJc4ziWrwep4enxbKIfjffFvAe9/25gEEd66J8YgXWHUstCobbKBEpwhpDRBLxCRFsYc3DFTgk+lLbxyfxVBHctiR9zPHz9fPt5QXNo798Uc9CMfu4C//4XruODPxBzFHKCzkSXB555FvH4ZYKydnPWy4rgqEpwsePpuveNwKtKpqOOlsSd45Upw/VbFRej7gkepJJiK4R4/N1h411mHFZNgUyU4IWqddWDnSeDCx+YeEpVlQNLNm1zURjnBmhsgKIpIAzIk2HGYDAWv6q71+p0T9Cf38f7eGNi4Vk4c2uo+lbFDNFNiwpYyggmFHjc6PmUX4CRMusR55eeWtuKCRbfNRnvA4QfZn9X4DOKYZ5JLCtMhqBBu50mRidzw9eZgUNxDmAaKEqx5zbXEgz0sJcE1mnMA8rqeTMREtFHgIyxELp3hsZ1B8jy+8aDp9YQFyQvT+2F3ODNLealqRtLWDk4VdBP5aBd45TdEp8MzgjfuHsv7wShppCXEjdIhqjulpZ5MrswDCyjBMUfMfIUEzyvBq/EEV9shGAMit4vNnoeBW34OPn4l9fczBlzZ6on3/MFfih/uPCVWLOoO8IXnlPjLFpVg3fhaQYIDUCpUvc+66rOTSrBxTjBKn2/ZiFrcFV7rkhIsrrlJEGESiM6Dax3z4sM6WC0JNlUnpsl2SUfvBQEq7BAUN5ZssRh1jNP4/GRfat2HnesURIpZlSWCMaA320MUc8QUAVaENibTKMxOlg0L4wJF2WwDhRaBQEOCI/GaaxWDrN9WoPwrvw7c+NPsz2p8BvkmK7IwLq8EU1X/2iXg2heyftqF7BBmYfeAUJa444kBTaN2SxI8LVHCpQe5nh2CSPCmoYVBIspO0k+eH+D8egfPXdYU0RWg098AGIMbTeAgwmZf+M4PCnJMs69fkb6xaBcxE0Sh/po8viV2tOok8SwRYRTjzbvpItyo8UpLkG2TmxTGldghMqRG+rKbF8ZFMUfMXMUOUeIJPo1IgBqFcZ9/fBsfv34Bz13ZqKz5ubTRw4WkkPzCelcQ4OM7wMH7Yq577K+JB/o94NILwOVPA4NzaZJLG++9qDCO82oSnMRJdjVFxGVwKkhw7Yi0lSvB7XmC83aIo2T83Rr4tYrd6uCjpwQXoNQOQWHbSbW9Ua9tDQku/bBzE13PYNuYlOju7AAA8CAuKIiTr9HCtmo+ZaNxYVy7SnBhsZjGDnEciHM7cMoHQVKCF5ooiiwzNUiwXDzlSPCcEnwisjGxfhnYegz4wv8QuPBc7debQ1jtayQIT7BfrAQng1QpCW5oh6BGFfWV4Kwdoee7+NufuoKPX664nxR0fFdGLm06U5xfE5OjkS+4arv4NJRgGktdP1tYe5LsLoTTxRJGWsK7D4aYhrG8F05TCa7dNjkKBZl13FICmJlPFo5ICxDFcc4OMb9l36oaWgUDTzARt/Wuh8cv7sBjzKjw/fOPb6PjOXiOUl+oMdK5Z7Me9yd+AHhckOJMh75FQQQ3T4IpBtPxCv0zAZLGQhXzUB6mSrBx22TT5l9LQpue4H5SEE28iawQprUdTbBaEhxHZhMDXaB+8SReGoTeSwpqpkdAHJtdNJpVoJknWHx41O2qLCFiFETgMUc3EOT85mxQ+NjMsSyiChIJpu43TQvjWmqUQdD6ZONYHB9jgNdPfsQxTArj+hVKsIxJW2SiKJrMaixEAumZEsftOKJoj3NFzQjGYsfD8dLPxnFSz9pCdgiKeTJRgkVQv+86wP3XRYGegkF33rM1B9NGGYQkRWI6mwE8XsgT3BRdz8HMF+PEjnMiow53TwzOe1Uc3Gl4guk+7m0Bn/mHwFM/Ir7P7Po0u9fbAuccryatr1+4JnbnaiXoLIjabZOrbC4JMuk2i7ZNlnYIXWFcei0aCTltIQ5xPA0xjRk+2BvhV75xE3cOxXV1+3CMf/etm/hwX1xbXd9RlOvqmp9Lmz38wy89lnaBjKrtJ2lGchtKcHKs+XQIg+MISQmuSYLLPjvOufR5m6ZDuKeZGa1BYXRsA6zllODGJLhGEfJqSTBgNjAbbElFZR1LvI5QkeMImB3DcZgIc+AlvmDNACiLwQyU4L5BFf3JJIQfHoPFISK3j91pheelDUWJ/MCD82LrLpw0qloP8m0S3//6vGWgBrTqKKnAXl+uxkdBhDDxy7lxOUHxnRaU4CLiUscOEc1PvnPKt7RCXMwqD4v6wKMgUbM8o2YZ0zAGZ664jw7eB177rUxnR6kEz0quGdpdMCXBEFuLUczRZaE+Bq0ImQLW5sNZ13Mw7YjFxzY/lN0H21GCl9g1bpI096BxlIqIfM2CesUk+P7JFCeTEGtdV6r0p2uHqKsEm+1oeG0pwZwjigLEMcAcN40X04gfrSbfVOBoNMYrt47wJ+8c4Jvv72MWxvjD18R49Rfv7GI8S8fXrucq7YgbxDoaeLBpzmknJ7hICa4uJj4OxGdQtzCujASHiqpquv1P10LtfPOWEGnmt6bod7KeYCqcrUWC998DvvXfiyJzA6yOBJN3yiQr2EDJqmyJ2d8WXxNlq1INLvEEaw3geRKsifrI42Qaojs7wHrPw6RzTn7whWiDBMvoGSV/sYEvOLVDMFG8du8V4MGbqX+7Jqgl7zTQkGBlW2wWxiK9oGC7XgVtuS40WObPNV1HtTzB84unOQ80fS55X/ii6n+NojhxPByh24dc1Ecz4K3fn9vhGE3T6/re8QS/8Z1bUh2Sgw81wTDALNlaXCuJvdPCoGjHBJ7rIOhuAwA2omPsDDpwGHA0Caq9h2Vtk4HldY27813ge78qFHsiuB6RYE03rQUa47QBumbOr3Xhuw58lyHmwoJzGojrRqTJ1I/yxVyG1CziCU78wJx56KgLQc2478lEiuV7go9H4toaBtkuqx8ejOdqcHo1leA5GJBPv83Un6KdNoPjuD8Wr39xUI9Guax4AdNkh9Upeb7TQJvpEF3PhecwBBHHV9+4j3vHUzAG7AzMBRVZBPze14wevjoSTBYFE3XCIKtRBqEXDXDkC04KRCq3k8o8wVo7BCkA4u+IBJcqwdMQ3dk+Nroepp3t6q3BNuwQVCDT30kLDUe7hQ8vQhqR5og4JoLa5awGtEqwzAhOSbDYru+Iz68iA7WVbTMiLr1N4LmfBi58Ivl5E09wervNKcF0veWi/1ojwYaqbBxzHGw8B/b4XwM+84/EDkowElai5Lh9lyGMubxeb+6PcTIJ8cH+SBS2TI/FtbX1mPFhzrhZ4scc6nSmqwAfnBPHEB3AdRg2+z44T7fkio+hIiJtWZ7gmy+Jr+/9eeoJPsNKMFmdesmCVwbjz5ZP5ICUYBhP1sZKsFKYtIgSnGQEc8fNFkVpiNppRqSxmLrBeRnV940784JHx1VJcINYPoNz3lrqD1BcGFcxbh5PAgwDBs9l2O7W+wwch8ks8zz/kDusNWptjNKulog20yGAdFy4uT+G5zD89afPyZ9VQr0mdEKABqsjweR7rLpRODdSsyq7AeWVYLpwCpXg+ZWgbltbIucJNslTHU5DeNEIg44H3t1AFFd45NroPkUktb+dNua4/e3iArACEAn2XSaID2FkmK2aQ1dXGCe3eOeVYNd1DJTgFgooJDntC1LXgJTqJl9SM6QHush/uLAdgu6d6qI4QCz0IrcP9+pnRCe3pJubmuSylvMF0zV+Mg3FbgAAnH/WrFtcgknSrrnv1PysDCrXTbG+sQ3udkXqyPRYtuRWVW/9MVR4R5flCVY/U/p8JAnuzZ+TFSvBpPh2kxx1ylM/reI4GuuN2yYbkmCa+zPNMpoowVGAkMdZP7D6+tFqItKCRGzglIubxH8+OJnO7XQyxspbEVdBLmpLcpnbSv0B0nObvzeLRIkEdw4niB0Pmz1fLhLqoCghQu6w1lBVSzuungLaTIcAsmLRDz17Hs9eNE/5wehB9WNyWBEJdtKkhyp1QiXAJYNXJQmWCRGCpFXFlOi6QEVlsWBFnuAKO4Qbz9DxGTo9QfRKSfCizTKCiTjfjifO/8VPiK/jg0r/zCu3jvDanSP5faZjXEYJbkqCxfnKkGBaICkFkUEkPKuO64mJpsTPnKolLXiC6fNt4O9UfV4EUnrksRUVky36mcv7p1oJDmUOttJ7Xao66X06yCVE0ER4Mp6lecrnnq11mNM4SfyoKHacQwtFcYQffe4iPvf8xwQBGe1iPUmpOJ6WnHvOq9Voec20bIdQIyPJhqQS47wavGIleJJYnbo5Jfi0SHDttsmG15ZWCW5SGBeHiKhbXEYJnh8DiChMw2jpCmAYiNeNmbiOr2310fUcEaeoe+myBhRVMIhzbCX1h+AU7NJU2CFuH04QOx3hVW1A9osWMWEDJdirEvSWjEbtyEvAlffx+LmKsIA8jj5M/2+YfLUaEtzbSIlN1QVkWNleGYQ+OCf8WuMDIJylnuBKO4SiBNfwBPd8B4wJpa9okDqehHCjCXqeK0lwadX9ooRIWiG2xYLCcYFrnxc/u/cKYmWLW8UsjPHtDw7wrfcP5AVK5K0Tj7M+4IZKcJoOoby+ZhIiu4Trl/R8p+dsI0YoT3AafAZhND+wdfMNM+Sgm/O2tmaHqPYEp7565fomZbFECSYve3h8Dzyciogu2nkxxCSxQ/RqVlq35QkGBLHob14U34z3sdYxSMJQX79okb4sJVh9Phr8VeJ7xkgw3dukAJvESLYFzjloGKhvhzDzBGfSIZraIeLEDuHqSHA6BnQ8Bxs9D1EM7I+W2xo7DMU1HicEf2etg+1BOiZf3Ojirz21g59+4XJyvJ64H3hcf64ysDe1kvpDKBrPK8j47nCKyPGx2fdK56DCl1VbbSsIGniC3TaV8QZoMyINAD7/xDbOrfn4mU+b15RIqLvScWi0QFkNCXb8VLGo2qIz8AMDBpK846ZFR8P71V1WNCS4PCKNBj8xYDDGJNHRdY3bG84wC2P0nQAd10G3J1SdchKcTLRxmPW+mILirsiKAgA7TwuVffgAf/XKm/j33/pwzgNJJIfzlLTRDdcbJ9m2m9fFImN6LLJJa6pe2pzgaF6ND8JkS9Og+EIS62ARJThHshoQGt21SUrOnCd4Tgle0E9aww6RruiVH2oySinCbH80A+dckpj++K54PzW8wIRJ1KwFaZueYABKB6lAdi86Kc1ENnj9ZXmCdde+6oOj/5NivGI7xJwSnJDgqq6apQgmRoQzJcA1ntsw6i/jyZSFcQ3eUxQkjTL8nBKsXD/KuH9hXVyrD0xi/BZAFIjrjCdK8M4gS4LXui6eu7wh25UDaO4LNimMayP1h1A0p5Z89pMgwngWw/G6YgezojZlDtNjIR5hfhqPpB2ivif4YWiWAQBXt/r4mU9flQk9tUDpV3TPGKjBq/MEy2SCKjtEdTwaYCjJr18SX4f30y4rlZ5ghYCVFVZIb1E6+JHSMdGQsA/3xwDnOJ+Y6rt9AzsEkN6UTVQl8gOTNQQQ7+/cs5hGMY4++D5ijrTKP8HxJCUBRNpoBdsZJSuvrcfSYsfXfhN436wyk6BtJZxrgqD+3vGr83PT87/AJDunBNcjNMeTQC5sfGXxRMdW6QlexF8HKJFDBnaIWKMEU9qAMplRl6cHJ1NMglgSjMHkjlD7Nq/XPsxxTEpwUztESy01lc933ag7noES3YaXf+514/lrYvuJtDsmkI6x1IL7jCjBJA6khXEN78/hLvDyvwbe+oPKh8p4tDpdp6o6ASbIKMGLFsbFHJzlCuMY0477RDrvHzccGwwRJUpwryu2/3cGPrb66XhC90kGTcYtgy5tgFLw3JbyqRM2SuqQSCRaWxuAAfWU4OkJ8N1fwdW7XxEvk1eCGyQtPEzNMhYG2fZI8Mw3B9NgdSSYYq+q1AnDSbwyHQIQGaxARgkuFFSjeVJSxxMMKEqHhoR9eDCCEwdiRe12MOiK16lqs5x6mBqs/imGK79VfeE53D+eYm18C8B8ZJF6TETagogDnMMnErx5TXQ6I9T0BtP2X0a11RAMIuGOP0/O8qBt14WUpjw5rUGCR7MQv/3d23g9qaJWB7Y5z3hREc6iW+nSTlRth4h1gxnZlhQCtTPowHMYjsYh9pKtWCeaojvdwzhkwMbV2oc5jsVr9lhN32yLnmDxPOTfnRm2iDYgwfKaadETrN7/zBGD/tN/M/uYretiEj//MfF9OK5dANsm6N6WhXGJItzIExxHwFv/SWy5qz7AAjTyLRraIfRtkxt6gmPRrGauZa7GEnFRKsHLJcFhKMaeH//kVfzsZ6/Cc52MEqwnwQ2UYOrS5vqlmd9ekq4QxrwlNVhjOSspiiT7yeZ6UtdURwm+8zIAwA+HYDyaI65E7DtejYg0k74HS0SbEWmLHchMjAuOlwp9Hw0luIoEt6gEEwk+uSffeOHqKc5uh3DOZe95rWldTp4pWaFtvzwJHk5D7A0DdDHFVs8HvK4kRUvNCpa5u2uZH/PeFu4fT+DGYjA9mWSPQd0OlkpwxNENDuBFU/F8/W3g+heBx/968lr1tsE6niMHNrmtoyEYMpWiW22HSM//AgOljL+qb4c4HAdQx2i16rWXb6ZSFLPlOIm/jmc/83AGfPCXhR7saRjhz996gD9/4xbevHdilBOs3dZSleCjW8D0BI7D5FbVB3vimuoGBwCAobdVqZzlwTnHOEpakLKGEWkteIIBKIpbCN910PUcRHGJb9XEDrEMTzCNi70tEWX3/M/NH8PWY8Dn/wuhEHs9cQ0N77d3DDXAOZcLaFKCaeHbKObrwZtZZbvCHlaZI69DzY5x2Yi0ZjnBYcQRs5wnGEg/W4VwbfY9+C7DaBaVL9QaYhbGGM8iRAkJ7nbSxYDavEBPghs0zDBcdDDG0hz+NooqdXOqPJb5cZMaOGyuU5c7w/c4PZbpOQ4TwsFcRJosTq6ZPbzChIi2I9IaQ42JJI5zpkmw64t/cVR+oxjmnFYWxgEi7qmzBkQzdCIhk0dFA3BuctNV+GeQ8wQDGqKTgFqxXh6ImwF+P90aNM4KDkRO6Ku/ab71Fur9oaOAi+p8zsHiAMfJgDqeRbi5P8oMsKodoj+5K1I2aPvb6wIXn09eq77qVJidqyHBbqdaCe56ojhxVlKcWIkyJbji/eWJU0YJzn/eZROAbmvx3a8Cd78PvPMV7Wt/78Mj3NgdIZhOsDecIWTVSql2N4Ve++Qe8MbvAq/8OgDgQrIV+/6uIMGDSCSHDJ0NjGYhXrqxh+OJGembBDEi5sN3GRxekyhqLDMLITchki+4sEOeCVFahidYvZc7g+pueV3RoQ2v/Raw+3Z7x2EIIsAdz5HJPLLKvwlhpF0tQoXi2MwO0aBj3CJtk6MgsUN4mQWzeJF5+xdj6WK0Msu6JsazCL/13Vv4zW+/L8l9x0stR77r4Nya2BHa1HXzatIww/B8A2nTnlaKKktJ8Px4TCR4e31NWFVyXu1C7L0ro/NcR3Q8pRoXAvEMv2YLYhqzV5EQISNAW2ibvBACRTCVJPgs2yEApfK8RA02LOwJTQe5pCisG4gtatOOcWlziCISnM0JBtLt+GmYvUFoQt2gxgBeV8ZOVdoh1NzYB28KZSc/IejAeeHW+HAWJsUYDG4cSNL70nt7+OobD3BzP1VcpB0ijLB18q7oLLaleEAdVwzY6usZYo4EawhOSoKrB1nGmNxybWyJyCt9jBmTmvziRy12yNghOC/fVlc/87vfB+6/kUaRTY/mHj6eRXjrXmLBSNT90KnhCVav8XzgeDI5kC+Y/uaSL+7hQ76Odx8M8cbdE7ymCdPXYRxEiB1fqF91iWKL6RDiebKqbaUlwsQ3qrFKzeH2y8CH3zA/TrlDZtYJEE//TWDrcfH/FajBeRUYUFr/NlGC83NGxVgTN7JD1OsY14YnWBTGeZnzJF5Eb4MjoWUWtmALoMOIOf70rQcYz2LpB3Zdb66N7499/CL+9qev6NucawpqK2GQEUxYy8U0LgSdHSLUE3LOOQ7H4ndbAz89VhM1+OSu/G/XY3Dj6dziWiYJ1VRV08ZQp0+CqU5nbvfitJFRghOryplWggHAp6rlkoINw8Fe+hmrViNJ8ZYfJiS4MB0iuxKUFfC6Gx7QTnSSgOWILRHdvpM81uuh57lgTKhipaqlWvVI58Zkta0a/XM32GQWI3J8rHV9+AgwCWIEUYx7R/PPS4Nt/+hdeOEJ3P4WsPVE9kFycVOvEEf6gqPkfGmKnmYUIdOtVoKB1H/Y2BKhI1ky2aT8Bsur+iq5dB0m28ZOpkoMoG4RR4P0aE9YIN77s/R3a5fmHv763WNEMfDYTh/9pNAsMiDBWk+w1019jgoubfQyvsXzjiAlR866fN+HIzNCO5qFiB0fnlfdAGX+oFsmwbkcaCLBhQkRJp7kqkVTHAkCfPtl80VAwa5OIXqbwPlnxP9XkBIxTa4JlTDJqKsmvk4aW+h+qRhrSOxYhhLMmNIBjKbUBkpwHAaYBBFix5vvkFUQ5aUtKF4QD06mstjOSd6Hq6nJ6XfcjC0ig0ZKsHl3y0EupnEh6ApXZSpVlnecTENEschK73quue0jjlMSvH4JXc+FG83mxpUmEWlAel2vIiFipuzyrBQZJTix2559EpwQmVnJoBzqL8a5h5kUxgGSBHcCoaBptw80ypwkrkXt+7QkWF+YRb7fAaP31ofjMLNCEZps1fbEJqvtksXEcBYidjroegzrvrig7x1P5xRsAJhFEcazCNuHr8FzGZzrX5jfijX1e+cwF2mmywlOjsmji7xi8CkrTjSCbrudUjCm5UrnONcONt8FSFoiJuP511DRTSr+770y/ztNZ6qDpHDj6fMDeFz8P0QNJTh/D+WJVhyj4zn4/OPbyTFwbEJsOx1jQ77vA8Mt2kkQiZ0Igy6Ac2jbE5wLz1+vmmxNXr+qmFXdsgsnwK1vieSDMhjWSmRA/u6afv02oFOCfbXJRF2Q6tM/l3y/DCXYfHteqsE8ef4GSvDBcIwg4ljrdbDRy3eO1KfhdPJRiy1AnX8YT5Rgv6bdaCEluPq1lqMEJ69fklJB55nm6qLPRYJz4PXfAb77b8XzdzeA/jl0PQduPJ2rvyFrUJ2INOB0OwjmEZxFJdgzF+JWTIINyFLNwjinapBLqgb9hARrLxo1IzAhBESi6inBehWSJtSeQ60ZxY0k0wxMusapW5rBCHjtt4Fb3y7+uxLlaDQT29G+62LdE8f63q5+BTUNYxwPT+CFJ+j4HeDcM/MPaqgEy65xUZ4Ez3uCO8ZKsL440RialBDpr5zMWxFU5Bcz+WtTEnRSgouI1OY18XWkIUaawZe2l7vxEC7jCL0BQlRP/lFRlW9+4ZQoNs9eXMPVrR4GGGPNB1hngMjp4CjxAlNhTRUmQZxcfw3sEHVtAVXIRVHRZ1Q42dIipCyizfXExM5jfSX5VCHB+++J+/jWN4ufL5ikY2ad9y0TVU4/Ko3uP5UEO0mVf8wbTN40tgzOZb8vACnBtWKcaiSPkHIX0X3WoG3yvQNxHVza3pj/paZ1MlDQZGhBENHbHvhSCfa8miRYdo1rvzAOaFkJzpNgzfxPIKVWerarouCCseioSvfrxlUgyRd24umcEhw2VYJXSILPpBLseuLz45ooyRxWctRyQikgS3ePJvjTNx9gOjxIf2dYGFc5yJEdIiixQ2gUACI0ZMifQ42INFKC+yy1QwBAj5TBslU9xZuphOj4tthq2SspeCkhC+NZ6skkEkwFT3nMwhjjE0H+/MGmfvt+QSV4voFE6svmPInIkdFd5SRYntPGdgiNOkHKbJUSnPcE51bKdH1MJxXbgPnIsSf/BnDpheT45smZXCjMDuEwhpm/aTQ4puknuc80/xrJoMIYw49/4iJ+/uM9oVwk1+aRogCbFOxMQ3H9eQ6rrwSTitrVEIcmkOH5ERDHc93x5kBkh5WQYKC8/kFVgsnjXVTQMT0R2bj3XhXf11GCNd3/lo5wBuy+jehQxC92cyKCJxMiatyfUSD+OW56L5oWxi0hIg2AkjtP2Zv1yBnnHA+OhPBwdWdd8wIVdoiwPfJDIsSljS5YQoKduoWnTSLSarR4l0pwVZqSCaQFKvm8S2wZMp2IxvKqjp75RJj1y4DXQ9cXhXHDaZhpE1xZe1SAhZTgD/4S+O6vNMoRDyORE+86ZyEiLbnWiBto4j11WAkJlq2EC7KCv/nePu7e+RD7X/+XiIMJYjDzwriqD8LvAV4PLg/hhiP9RRPPb3Ga2yHSwa8rV+mxvNDjmMvt4i7PWj1ICS5VzygEWgV1givLIS1VgtPCuLWEBNNpefGpHVze7OJT1zble5EkuF9APBorwQoJjhQ/MMt6B32PGQ+yZV37jKDb7ibCpSlKU0Fe8J98/hJ+8Jlzc/45SdCnFSS4M0gtGI4ncl+p3bVGOaV2on5AJHjLqGAizXvMDQt5X1WuQt1JzgNLtqbVlzoYV5PaaRAjZp4gRKaV1vKPE7LY0RCHplCK4wZV267k/ayyYZUtDFUlmBZWRffOyd2sylhHCSZ/dzRrN7O4CKM9sQ387lfRe+8PweIw3UZOQFXwtSZvOjf+wHisoUuq0i6n/kEcJYWw1VYb2bBAeoLrLbqPpyGCYIaOx7C9Pph/QAHZknUUS1CC+x0XLFkAT+OaBEeTZlGK/ffSYl8TJZhamk9bVIJpsV9QFAekCwRjJVi9zy48B+w8BXhduIxh4ASIeXaBLdMhGkakNWqYcff7Yty5/Z3afyqL4latAgPpGEBWCENLxMqO/GgSaCeGw3GA/VGAzuwAx5MQL98P8cfjZxBXKC2xqScYAHpbYIyhEx7rLxpNy8RxA0+w4zB0PAecp544Ugf7HQcOrTiTgdwoJq23Pb9tThNnWQ5pia1kHESInA46noMra04mnuWxnT5+6pOX8dQFUcQ4C2NMhgcAgO7alv61FiTB0zDWWyFCZSvK64gJPQ5LJ/TleIIT9anEDjELY4Qxh+cwXNnq4ZmL8ySNjm02o8K4ksmWLBFrF5Ps4OLs2SC51vzZIVxHKMEmFfiFDWcoX5uQH/CTa8vrZfOnAbPiuGkYA4zBo8QP09zNcComWddPV/1tQClk6/kuXEdsg2rVShM7BFDeIXOm7CjQvRxO9dd1/tzXUYKB07VEfPB1SYKiMIQbTeZ8g55sgduEBPeNF8OyMM50xquhAgMaT3DNwrgw4nDiSJCfqoQYBZSF3qYneKb4t70kt7vTMTsPEnWU4GAMvP2HwPCB+N4gHaLjOfBchjDmiy8A8p79gqI4QNllo2YWcnFSMGbR+Lx+GXjqR8QYn5ybtaQwXrVENFWCJQk2vY/iSEQlqmPM8e1arwnk5uRVY04JNhvrVnbke8OZlizRNrwbT3EwmuGucwW3O09VbqvW6gjU24LDgO7sQJ/EoCPBZIeo8gRHs0x+rCx2m0XYPZni7pH4oAYdb641oxFhcxy9Gqwetw4FbSA559IO4bsOBk6ML3/yMvodB+fWfLniVlXa2VgoV/21TWhh2hI7h4wdQpO/SqkRciL1qkkTbb9Om9ohdJ7gzoZQiGYnhduedL30ihZNUEgw2SHKvIfnnxP3y4Xnksc6gnhxPkeWZIzc7AgOQ6IEV7//wh7wT/8ocPlTKRGfI8Hie7+jCZY3tEMASEmwqY9wGSowMFctXqo60XnVJGhkYKoEq6q77rH5nxlsHWcfb2YjWhj7N4DjO+L1eluIOeDFk7nJkq61oI76T+fA7xsvuI06iqowbJRBkNvRDe0QYRyD8RDMYVoFUs5FoV4JbjMdIo28cvFjz27j4kYXz1wqEDyK4HpifIqj6l2HfMSnofVirS01OJ/eUrIAmiN9UgkuULx1xX7JPUjpUMdKcVyY9xwbgq5r48ztd74isubVWMbxQWWdSx5zc/IqkVeCDceGlR35/ihII9JmQzmZjL//m7h274/hRRNRMOGKC2Z3WD4x1iLBG1fgMIbt4zcQ6yYDeRPUsUM42igkIjr/8Xt38Lvfv4u/eEd0+Bp4XClu6WceW9lGtIgEA8UDToESPAmEp8fzxRYNohl21jr4+c9dx9964Yp8nDrYTkfiRikmwQb5zxqkcT+RNh5NFiV4+QGo+NpYSAlWU0JUldZxUuJV4AuuLKREei3NZgbRQGvngc/9InD+WeU45tXgKObCo4UI7vQIjsMw8zYMPcEFRRndDdEJkFpR5hcdyfedXpopTLsJlR0Qkfq1ZRdA0y1UsqN0WybBuTbHpQ0z6nqCdUk46jWkbqNrVeOEJLsdYPvx1BNrCiLjy1aC998TX698BuhvI4o53Gg8Nz7TddJICfYUJbhioqutsNVIKgAUJU61Q9TYmo5iDoeHInddt6tQYC+QxcRLUIJ9j2Gz6+CZC2uZbnHGMFWD88TLUH0fVDWyMcVcYVwxCZ6zQ1TlBGuslfRZkhKsWq2IxNYq4Dy6hcGJuN+MmmXEEXDwvvj//Vezv9u/Yf660MzJq0Ici8+NsfReMayBWNmRH4xmglj0t8WAMbyP2fgE/OgO1mf3cakrLqooucioy1oRZFtMk5X+uWfA1y/BjSbo339Z82RZJTiMYszCWKjHZR+2Ji5F7aajLpa2wj3xvgfnJcHqmbb5XbtQ/LsiS0SBEkyEu9PNqqquwzL+aifJteUc4NMTOAzor7esBKtxP5o2wrTNP6cEl7zOQs0yyiZCWRynXzlX5kpDCboPiATXrcCeX3TRZN+PhwCPwTsb4I5n5Amu7KpVlImZqCDyGkJ63ZtMzqQE+wZdADMgQthpqSiOkNse7fslxXHcVAkuWBhGYfH71SrBybX+7E8AH/tytRd57jhOSQmma7K3CXh9RJzDiyZzJLRRYZxqh/DNrpl0i79isULQ7AaWQd862XzMiWIOJw5FQwqd+lxgh6BFRJskOBN5tUgOt2lMGo2h65dFwW++ELgAXeo42KTZior8uS1Tguc8wXqFXkLXcIUK4Zm4xogExzFXipNrULM3fhc7976GzuzQrFlGhujmxg+loYcJ5H21aiU4VBbGNCZ6ZmLcapVgIL3gj29jeCg8QR3PwXmWtDV2SAkuJsFxzMF50o/bZAXFGIKrLwIA/GHOB8N56o1JBqPUx+vOdc3JQDNQfe6xbfzE8xfx9z53FT/zqfTmHkyS11C6rdHWeaUSvHFF3FSb1+d/l7dEhFOx5UG5wjklmG7Abo8IfPH2NSm1XjhCx3PBirahZUvsUGyxfO9XjUz30rpQ5AnOm/ANBllqQjKexfUrZ8sikqg4riCMW/V+F4EWVFFgnkeagcaHniHBgExsqKUEF91DRZmYyffdbqoEr3U8OEwkTpS9dhDFiGLxmmkXQFMlOFFQl6UEy65x1M1RpwRTYZypHSK3YJvpdxLEY0uSJOj56sJwYlgYqp3A74PHHG40nSv48VXyWIbDD4Fv/0thsZB2iIEgnAZRSLULeGpkBANK97tM62RzYhrFHIxHYgGq9QTr0yE814HriGLURk1HNFBbXC9Egk3FELJDXHoeeOIHjI3bjnrOF0G+WUZJSsVcJm6VEqy7jlwPcDx4DgeLQ0yT5wyLduLKkJBshznoT++VLwg4B977GvD+Xyg/S64Zqvs4uVdrByPdNTgj8WhqbYjhAnklR86YOHnDaSgIHQAc38b0WFgFer6L850IDgOeunoeDhP9uotucuNkCBXJxMnpgo8CERPyzf8PsPeOGFyTDNyxwdY2AO32fMdzcHWrj42ej62Bj2cvCgvIpTiJONt8TD5W5gRXZR921oDP/CPg2Z+c/10+zurWt0UnKpo8c0oweZR7tJVdshXd9RwwHsGNJuj6XtqfWwfaOr/zstjuuvtK5c2VVjrHWgJKg7OfV4Lf/ap4fg0ch8kK/8KuX0WQ8WjmkxJhrOmQlQe93zicggPG/sP0GHRKcJIRDPEzlgwEJhNkoSeYULToSK73rmKH6PmO/JzKVCrZRMF3lGxRUyV4SZ7gnB2CPMFDrSc4+VlVYVxBEk7GD5zH0W0xYankjghF2b1XBsOJYWGoapo/QMQBLxpnW3JDKSir8jK++XvimG/8aVYJBtKJ73u/Chze1P75LL+LVOf4DaBXgs3HmzCxQzhqW/bMCxRHcc1FSy6ImZYEGyroKgytKqmtqZ7vmM65kQWg9IlKcoJzyCQUAdUd43R2CEAkVDmAG8/k+ZaNMuqQ4GQ8cR1gMLlbviAYPgDuvyauoXyx89pFsWiJZvMe7bKXP2uNMrx0DjpVTzBj7GcYY68zxt5ijP3XVY+nVfPBOADWExJ8cg+Tw3sABNkadFx86clz+NxTl7E9EIPCXoEaHNexQiRwk4GTRdNE/b0jlCXOxWT/7E8B6+JCqUyGSJ9UfC0hkn/96XP4+y+sY5ONxE2mXIwdz4HniIrXStLidZJK03wjgxwpy2/XK0rw4SjAm/dOwBjw1OUkdL5ETQljDje52C6c2ynfiiXfMm29hBN9swcFHc8BY2J7Kw5p8EjPOW1HE6nNvPeS5gKbSfel40nNRgxRiRKca6+bBxXilW2/Og6D5zCwKBSTZ20leN4TLAelhAQ7ySBtogRXth6n8733LvDN/y/wym8I72dyvfcyJNg1aumaaaLgVagqeUgleEl2CCMlmOwQDSPS1LivPA4/EHnAd78nvg+ngpTQTksTGGZnLoxIWUD6PURxDDeeV4JTO4QhkXE8pTNUcs62nxJfw6lQjDWYqYstE9AOj6HiniHBTZTgKAJ4DMdlesLpuGK3gcdzNos2fcGcc/lZCDtE8lpNrjeTvHjO0/uYUncM0VqrYCK7syHw7p+ku6aalIrZXGFcRTGvxtYn/q4Ljzlwo4kcs2XL5DrxaMl97DCG/uQ+wqBkjiMusPMk8Mmfy+4K+31g/ZL4v9qIqwKZXYNVQqcEGy7CFj5yxpgL4P8O4O8AeAHAP2GMvVD6osnFO5yG4qAH54R/cfctAOk2scOEkrUzEBfpUUGleWFBTwlc10Hs+CLTNJqJbQBAVMF/9hczNgXy6FYqwVUtFCFyVQfBgfhm4/Lc1k/XpHVy5jVzq9W8Jzi/SlYe/71bh+Ac+NildexsJMpSiR3i6lYffjTE4+f6uHDuXPlxUScndcA+0k9QKmhFGZBPVllBUwGEJMFqgWDJcW/0xHM0V4I1E4AkSvrnJJ9rPhc1j47nwOFBQoJrFp+UeIJ9qQSLgcAsJ7hiMalOCnEkFjUf/KU4B8xBT/EE93xHDoxlC7pUCXarK61V3PmeUCwYa58E586rVIJLPcEGC2TXF+dNnTBJkS17D3vviq81iZkWNdqJLgR1J8cfiGJNjSfYqDBOvR78wbwS/NiXgCd/OHndgkVpWLOKPf8aFcgo2nT/1IhJi5JFPysjm0UNM1pMiEgLv5iw/i3SltxEiZsNxT3h92sTbdfUSlP5RMrr7r6V2iE1xzPvCe6Jzzuc6PPNi1JGvB48l2WV4GgRJZiJFtdlBJYUXtqlVXeT/EHWEmH68vnzAYjPu2BHBuG0XhdBU5QpweG4dBe6Dfr+1wG8xTl/h3M+A/CvAPxC2R+QbUGSku0nASjqGZFNtwM4ruzapJ2EoNgh6ijBjCF2OkJFDqepIXzj6hwx1X7Q2iet6B5DoMlMU9ldO80gnxOaJ4P5zlPKOSJl9JkLa0bH/sUntvG3P76Fa1v96slBl2BRoNKokOphME9AKQpnPbkesPMk8Nn/PPVjFiRjrCck+HhSkwTTuahRqEKYGCjBQEKC41Bcw60UxpEdQrxXNyGWZp5gapZRURinQrHZUC42IN53x8QOoSrBMgaqYqt++AC4+Vfi/9dfbK6KFsHJqvzrXeFvPpmEcqKSMC2MA/TFcfReqRmKDtNjMTHR3zW1QhQdwzKgbClzr4co5vCi8ZzfnFSv0oi00YP0/+FYSYdQxj7NvaCitmIVUNGl2YKD3kfTwjja+WJlZLNgzGnTDjHXAnchT7BBTqu0QtRMOUG6WF/YDlFYCKxTgnPb/6yicVNRcbXXheswuPFEsUM0UYLFfUzcxz25VfxYSYKTsSZDgpspwWqmtMS7fwK8+Z/SrpYEzoHXfkvsINaJRDSBTgl2EmGFOF4B2iDB1wF8oHx/M/lZIejilfl+Fz4OQFGF6IQmb4hsCKMCJS+u8jLqjsFhiJyOUIKDcTrQ0oWgwDhep8ofRJBV7fOTGXlIJzPDiyRPgvPKJL3WzlPA4z+Q+VVGhXOSfzwuJJOMMRHtBlT7V/uKXaKzLkjC8F5lVbpUD6lYTKsEKwNyZ1DZnWgjsUOc1CXBuhuLkC+myMFUCfZdB354IgiooeqUHkOxHcJPWnI7fjfz8zJUDsKqEuwPssp18n9axPV8t54n2HOV3OeKRSQN5jtPAVc+Xf7YJpAdpMR5dR0m0y7m8spNm2UASiSkhgSrSrA6YdI18eDN9O8WUYK7m+LanR4XFnUujDjx9Cfd1ijmssNn+Vp0s45xQ4UE02fv97NiRcXOzBy5q4JUgs0WHHQoTQvj4kTtLm1PXED06T1NWyTB3TkS3MATbFIYR/FoNa0QQHrOF1aCi1CaDqFcyWXb7kWeYH8AlzF0+BQxFypwo0YZ9Jrrl8XfDktU3PyCQ62l8Pvp9zV2ibQCIe343vnu/OtPDoVwUlYQ3AQ6JRhIP5uSsa4NEqz7xOauSsbYLzHGXmKMvbS/LwrgpBLcGSD21zAj4kDqWfKGZCh2gRIs49FqkGDPdVIl+PiWWLX3d7SrPyIHlVtp0g5R4T2VBT0lJNg00qvMEyw9hB0RqXQ561KZ5le1BnYO4/xMx023XTYuiyQLzoHdN0v/jAbfYJYlwdMwQhhxeC6bn8gqVFmyQxzV9QQX3ViZ1yywQxgqwX0+Er4w1ilXA3XQ+JLlQBrPksMUg0CddIhCIUK91tYvZq/f5HfPX93AE+cGOL/WMbJDTAJlsWCQ+ywOlDo6tdglToWGbGwnJHg/3wGP1D4TJZjOl7o7QwstlQSok9MTPyTI5O6bwEGSvWuoTmrhOGkiz1H9DlFGyG0Bh5whdrtwGJ9Ty2SzjLJFmqpM0fnOLxhLlOA4zvlcTSAXHGYLU1o4xk0j0iLy8BvYIWI9CW5FCc6TGln42UQJNvBk5tXJGpDnfFElGBAC0c5T2Z/lSDBlsDssF2FWpnjrItIAOdZ1IcayWRLDCtQsMiNyd+5JgDE4493iXgH5BUdeCS64vkpfXre4pOt/NszaEDKL2SNRT/LOV4CbLxm/XiFoHM3zIRI1S3hHGyT4JoDHle8fAzCnyXPOf5lz/iLn/MWLF8RWuVpoMnrixxE6XYzPfxqSy+aV4AKLQO1uQBAXWuT4wotG2/QaFRhI82krs/uqWigSpBI8X9VOK0zjuJv8h65ewCWKcxxzhBEHY8oFLCeSkuMvWtnqQB6jtYvAxU+I/99/vdSfQ8cShlkSTLsGax3N61YsPtY7HhgTi6haqkGpEjyvwhLCSLRMdli18rQ2EwvCabekAUoRNOqXDC9HVgmukxNcqASr91d/J3tdJZ/BsxfX8SPPXchYI8q8ihkl2DXcSSmJMGoFGpV/a0BKcG6hZeoJBvTttmnipN0SQJD7j30ZeObHhOXn8qfFPUM+u36FH78KmxRLWbJ1ughyC+UgihE6wi6TJ0REtko9wVSolPnD3EKg5H5U49FKIy5VBPVU99QTrCrBdewQyf1a1jo93943Qaue4FbtECZK8IH4SoJJDdB0vHBOMCAEomd/Ircjkx1fCm2RZV0Yi6L2knMjSXAYZ6JYjZGcW7d/DlN/G3EciR3XPGZD8Vl6vZQz0PhNlg7XE/+PI2O7wkynjKvzwnd/RaQ3AVkS/OAN0Sp7712hGJel5JggXyxLuJQIfw+WS4L/CsBzjLGnGWMdAL8I4DfK/sBhDA4Tvkny2J04m3j3+s8juPJ5ZTIgJTi1Q3ANgarVLS6B7zLEjo8o5uCUWlCwGg2q8lMJVcHZhBJySjeYMVnbvCYuYFJ31FVgSYRU2hpTuQQqYr8yz2/iw7z2BdFp7MLHga3HxHFMj4Gj4sl3TglOXkdaIbqaAaJi8eE4DGtdD5zXLI6THf00JLhEeSJiVxaPRugH4tqb9hqQ4JLCOI8nW/k1lODKiDQVm9ezA46GkJoE+WfTIarbYIvf12tkUBsalZ+Kcw/ySrBpTjCQbkOqEUSS0CuTk5d0g0siGnH180lTHR+4/iXg3NM13owG1P566UqwIE5RzBG5fSFS5AgRbf2WRqSReqxpOCBRktZSOyM4mIjFjdfVxyNq4KlFWk08wSZks2DM6S7DE+zmSXAD373ri/cTh8Vz4vhAfG2gBDvSE1z/0AqhHkdujpOEL38dlXVhLLRDiOu3y1Ml2DiFSgUVxvUGGHcvil3x4zvzj9PZTogXqA0mShaTOmiV4DwH2X1bcB7V23+oOmhRK5ZNiyIleHBOcI+SuMKFSTDnPATwPwPwuwBeBfBvOOffr/q7Qa7YjUjOWtdNyWHyhjxXVJrHXO97akKCGWNgyUAa0odWsOoPTQdRk8K4KBATn+Nqt9q8ukrw1mPA5/8JsP2E+N5QCdYWiphsR9cZFDsDkbbhuOIm2xEFkGVRaWQfiMLs4EFWGL0SXB1Nt04tNuuQYJp8dVuimkYVhAyxq0B/KpTgsb+IEqwjweJceB1zJTg2Wex98udFPvX6Ja0SrMJkcs7E3nkdcZ1EQbkSIdWV+ddsBXRejz4UAzggYxrnSbBhRBqQTrBTZcBXi7zoOs6/L9cDnv854HP/BXD1s6bvohj9nSRlYSSKWIq2T5sit0gJIo7I1SvBsjCuSM2LI/F8zMlO4IVK8Px70RbvlEGqwOYe/WxEWvI6DZRgt4x0F4gUqZrenh1iXglu4AkGygsxw5n4ueM2SnhpLR1ChXpd5e7ptGNp7l4v68JYGJEmzksHYq5VleCBX0N1T86r31vHuHdRjOG6rm+6AsTBOTGOn/9Y+rOKAlMVc3F6BN08PLwPjPbUP05eL7mmFyXBZXP15U9rba6EVsLdOOe/zTn/OOf8Wc75/97kb0jdJVIyUZsL0OSqvKH841U0IcEA4PqUoZr8oCB0XxKLquc3sUOU+IHFaxhsD2pfW3PxlpBg7QrOhATX7KSUgUHhU5Edgj73gW6VbKBgd1zxd43asy5LCY5CdIMDgDGMOzvmxyWPQecJ5gDn8BI7hCeV4PL3HSd+N8Yqms6snU8XM+r9orkeaHIuy4AlZZ4SPCo7MAGLXYMmUJ/33a8C430MOh46noNpmCo2AMybZQBKq+1jQfLDmSDRri8+S3rvugHbcYw7aRnhsRcFWdt9C7hXqVnUQ84OEcYxIqcLl2Huc60sjFPvQV38EcHgfjSPRyMSbJ7CsXDbZCNPsH6xT6+9HDvEAp5gQFFJNQRR9QPXbf8NJSe4DU8woWThI61mc3aIEqJfFJGWjMudOLVDkCDQK+kymkEUiH+OB8/vYtrZEaq4SjYJOiXYcYHnf1ZEDMqf0ZxSHVOZNq9iqc2I83Th9MIvpHaE3bfEz/PjJBHwRUhwOE3G0Y5+HN68CnzmHxf+eYujaj1Q7Bn5gjNZvP2EEChbE9IXrCmOa1IYB2i2igsKTmSItbEnuCywurzLVab9Zh3o0goohFxHgiONOlIW9UJYqJd89fPTRBUF2dehz13Go6kwUOBThb3GeZWrS811UbJtZKwEH7wH1wGmnR1M4wa3Ih3D9Bg4eF8cchTDiWfiOnI7cA2bEVRmBOug3i+ahUJVYdwkEMWOvsvSAsJaC7El2SF62+nOCiDvIyqwPJ4qnzlNwCZ2CNcT9z3nQpkJc4ssej/Lel8qzj8rrEoA4vGR3AVoBbkt4DDiiBwfjuPMfa6FhXHHd4FXfzPNbPW6+paoBHVnJkeKaivBNYvigKK2yebnlJt4gguIfm0LXQnmEpoWGe+BciV4AT8wkF47rV67ZCvUoNAT7BfMa5yXRKQpSnCiqE5MO9PKA0qvU891ELl9BKwjkkbyHlvT7pqyOK56dyiTLkVQd4FIaQaAg8T+sPV4uuDxemk/hslhUsjfYCEnk1xKCqVL7quVkWAiMydJwVMmL/T6i2L7j7xrUEnzPAluEpEGAK5PGapxYg7XD3rkV6tUEkwm8JKiOCD1G9XuA69LKyizQyTnu7EdopESXF341PUYzu9/Bw7lHTrZRhd6T3ByLCVebKMoJhVxLI6TMb0yV1JEkGkFXIbdt+A5DEeDp5r5+WjAGu8Db/0BcHgTQRTDiQOhknjdrFexBHGThaS6ONAQN5osiqKbKLeZyCWAs0GCHQf42E/J6EYaZKVfXV1Q1CmMA9KF/eRQ8bERCU6u45Ktu1bh9xFxjq+9eRt//KZ5NmglclvAYcwRO51ECc7eo4WFcbtviS3U+6/JY80qwbmFqdpuOEcS68ejUR6zeQoH7Z7EXFWCzW0m5Ak2KozLLbwbLfALQA2pKFayViG0DmUNMxbwAwNLskNsXgWe+XHgU/9g7lep8lmkBOfeo7qAyIsLjiPHZyeeYRpGqSfYlATnIhM9l4niOM6B8Z5QhGkhVsE7JGrYIWQMaMYPnBub1y5k/+jCx9NjWLuYfvbHt4GX/zXwwdcrX3cOtPgo4G9VWBkJHuSyfykSrN9xBcFIWhbnHz/UtC6tVdCjwO0o3bT8QeF2YxCSElxlh/ATYhQWr2hKiCmgKAp1BzTVx/iN/7eIHzEojMsqwQbh5lHB9o4JqlpMAugGR9g+fiNVwpObknYMtJ7gipxgQPUeGpJNNR6tSB0tmJQyiQdFmJ4AR7fguh5OBo83m8DyE+bxXcwiDjeewnWFEuw4ogiV8/LJQmYE18moVK8rTWFcVToEWVzWu8q1RJaAst2IZadDEGgCT+5Z2c1QJfV1CuMAxRd8pOw0JPfF9hPCG5lkfi4dbhfjWYRwOsHtg0krhVUA5ibCMIoRO74girl7P1VQc69Nu1i0tev1ypVgoNAX3JgE18hjph2UbNtkczsEj4gEm3SMyy0kyELXQgOCo2Rhutnzk63tGnYfHSQJ1tkhDsTX/najp16KHQIQhaeaY5It6b28J5jmzdx7rIoT9XpwHQYvmuBkEiLm4hqt3HEm0PzeFeOw7zLM/E1xPt76A+CVXwf23kkeW847JOrYIfLNzdS/o7mpu6GkUawLYZNsYWvnxc9U+xAteuvARAkuwcrtEFQYR3aIXgFxoAYJY50doslWLlI7hCTBGnDOJUGo7BgHoDJrt2JbQiojdQc09UbjHNh/V1wczCn3BLvK+fYMCIhUBhoMigYdwTpMPH8Yc7GK7G4ijjnGsxiMFaySa9ghjG0mZfFo8nX1q+ZM9m0RksxX59yTiN1OMwKSX4gM7yEIhRLsKgq2W0Q0FERRg4Wk66XXjKZITUsaFcz5gQFla7FMCV5yOgSB7ptkkPV1pL5OswwgG5OWVzDOPwt85h82JgW14XUxDYV9BgB2hy21M83nBMcckdMRpCXKq5i0lY9s8g+RYDq/Xi9rudGN165+Ap9Fml2vMjQojHMynuDiotkixESCvfp2CM+k9bQBxrMIszCG7zIhRql+4AaeXQBKTFrODhGFaYrBIKcWGmIpdogS0Hg1V+uh2vzUa7hKRff7Sde4KQ4SBd5YBQYUu6PgEp7jYNrZzoodD94Qn2MwEp9h1cKuiR1Cva/kTrEyNtPne+Fj4hjOPyvI8c7TyXWVu7ZqeOkBfHSV4NTjqymM04AIxVTTRKJpYZzXVVrKVvqBDZ+7Kmu3Yqst9cg19AQTKP6ou64dwPSFcSYEpCD82wQmhXFMHNeRfxn45N8DXE/mQ/d9V1+0ZbCFkxYcNlCCi1DQNc5ICU5W5k6y40ETdS3kFYbhA4RRCDcOxHWUfEaegRVE+urrTnbUGbA7v6iryi8lO0TG5220G7FkOwQhN4FrO+DVaZYBpFXwsxNl8F5S048qJIsvl0jwSbX6AwB3jya4f2wyRqSe4NjpiGtSMy7ObefH0Xy7d6+btY3obANSCc7eS6RYGRfGyZ2G+ukQGTtEjdQNnoxdrlFhXJEdYjElmJoJbfVbskIAKOymdvi+IExrF7VjhwmkHaJtJbgAtw/F/Xp5M3e/Okm8I+dZgadqrvR68BwGN5rITpTawu8iSCVYjClCCd7KLgrcTqoC+2vVxbU17BBazkZjsyrQXPsCcPF54NKnxPf5xX6+W2DdIrmPqhI8SE7ceBYhjrl+VaEgnYA0OcENC+P8ZKUfxbywEljbJrEMUk0tUoLpgtSTYN8kN1OH/EBFN2NHHz2jLRappQQ3KYyr9nt2WASHAQFcSVhHZckQwHIK42opwdnJThbGlSnBpC52xXUQaK7rSrgdMZAMzgHdDURRAHd6BI/PMkpwZQwV0uut7j2EZ35CxKZpdhsch8FzGDjXT9CkrGzolOCi9tpRKNRBx2u+RWsKukeTe1bbyEZ6gg2HUrVrnMk1tkx4PUzDCE4cYPP4bfDXfrty8otijq+8fg9//EaJhzg3EQZxLArj2LwdAtCMeaRwZR7UT5XZIjWrID1hStYv44IjWgCbe7MzdghXb8soQ0wk2CgircgOsRgZJD/wZj93/IuQ4CIleP+G+LpA5vVSPMEFOJmGOJmE8F2GcwMNqdV1x6tKsfEHggTHEykgm2TLS+SK7D3HwczfzHbQmw3NrRBArZxgLWfTWUDWLwJP/lCxfe3JHxEpEeQfrkuCVZLfACsjwWr279EkAOfiZBbFM6VxS+3kBAOJEsyYKIwruEDColiUIlQRMqkEl0ek1VaCi1abBfmL+pzgCgICVPucyuC4YkDlcfEiIQrhJY1MSEEksrSmS4YAjEhwbd+cbJRRpgSXe4JLB7RkoeF3B2As2TKuO5gzBrzw94Hn/x6wdhGzKEZvtoeBSwoEkWADJbiJJxgQg//gXPGvvWKV6iRJWch8rlUJIqQknkaCAu3WJBNbJ68ExwoBNlXQyQY1G5Y3YzkNuB6mEcB4iO2TNxEc3gZONN2mFEyCCFEszkHhrgrdDy5FUJISDO09Ksd2WgjqSLCXXGfUgEeHAk9wENYUMtQGJoZwF7RDQBbG1Y9IM/X9V4HUyK05ErzAYlPnlw2naffDfKviGsgsPJaMO4diDLi82SvYjdTYIIvi0Qh+D57jwFN2R2o1yqD7JJnjPZeBMxez9cfSRXldEtygMK7rOUKcuP2d1MNfhx+snQee/tE0maO2Ely/kFXFykgwkCp7u0Nx4ZSRhk4JCTbO8dU8Z+x0EEYotkPE9NyGp6pMTQ0mYqvO7RReJH5Tf1fRQFWLBHeTZgUzfWFfHAsCy5zmA2NVV7BoBs9xwJknfeKyUUYlCS6xQ9Q9r2Xh2/J19V2qxonFp9TfJbdw+qXXdiVEsC+wdhFBGKM728PAJR+lOC8mnmA6L8bXuSHIc573PM/CGONZDIelGeDiAKpI8JIzglV4PXGth+K+7eTTIeoWxQHiuL2uGAeGiZqqBtifMsaxOI9+eIIg4jgZHpU+fqK0ri/MpZULZXF/BFGMmJUpwTnbTBEJBoBrnxcNgnQo8ATLok+TazuOxd8XpcIUIGuH0NukisA5B0/sUF6ZHaKkIYi3yBiS4HBOCV4wIxjI2iFo/Ln7ffHcm9fNiFkB6OM8HRIsrturWwULIx15zN0Hc/AST3CUjnXGdgjp83Wk2k730fDxHwO+8E/FHB1O0gJEE9tJHRKsFsYdvAd8+E3gzsvJ8zQQKdTknDqo2F2vwpkgwfuSBBcfThk5nBVFl1TAdx3EzBd2irbsEGX90g1WLIwxJSGixoBWpEQVXPjaVqKMobRZQbyACkyoskTEgVSCaaVJKQJrlXaIYptF/cK4kkYZBM2kNA2FUua7rPx6VPygVHBVFCVmhO46ZiGHF03Qd7JKsEmOaNOFZBXoHr+X85De2BUD18WNbhq0DpRHKgGnVxQHZAtJgtH8blRdKwRBWiKSwTvviTtFjGLx+Wz1xNe9g3ISrF6jhcWcuQSZMOLgjie2+nk8Zx+aSxHR2iEMVNkCklgrPUj1adfwx9NTRzFqK8FRzOHwSBxfadvk4h0vv+74psG8J7gFO4TjZNXgcAbce1V8f/VzzZ8XqRIcn4IneH8kzvnFjYKFke4z1/ljVXhduC6DoyyWtDn4Oqg9AJLVgKfWEzlKQTwVIFbFo6nHamSHUJTg/D3b5JpZlASbvD8NVkyCxYkyUYI915HbxvlqUNm6z7T6N0HHc3C09gTG3jYw0LetrW2HKCoEAIy9K7UJWxkqPMFzxSJEUnXHv0g8Wv75i0hwFMJzHMTMkytN2Vq3UAlWVq8FA2L9wjgTJXh+1WzU/10toPB6iynB8li6mEURnHiGniTB4vikElyigqd2iHaHhGcvioHptTvHmfv2jbti0HzuUu76rFKC5Vb16WXpAgBmo3nFsml8lKp+eb3Tey9IrUWAUHUD+PBchp01QbD2D5IJiHOtLUpVggsXbRo7BAA4vn6BPZcikqt6B2BmTShQsahbopGQIe/Lep8JYywlwowUaTMSHMYcjItaiHISXJxNXnt8y4ESeIC0XmehTPjMwSlz4t47ghxuXAU2FosCTC0oix2eCSotbjoSPHwgvlLzrzzcDjzGcHGN4dxaBz/4zDlc2zYsxtSkTHl5bz39jnac6tohhrulzSsy54S4jXyeBZVg04VNOBPn3PUbR2Z+ZJRgQLNtlqCwk0sFOq6D/a1P4cOrXy7cspAKWW0lWNMhx9C7svDWlpozqrFDcM6LuyjJVXuZErzI9lhF8V0cwHeZIMHJMQ5nFUowY6UqCaAUxtVVgstIsGbVLK0bujxjQii6BMHrAo4jcycXIsFeV1b691kyECeTj0kXwtopKIZ4/Fwf6z0PJ5MQN/fFOb13NMHROES/4+Cxndz5LYobIpymHQJQfMGj+cVK3UYZBHUR3LBRQBPceDDEb3z7Ft64e4yXbx7g1775IWKng67nSPXv4PhIRJW99+civJ46PSWopQQrdggAYAXNcuYUdtq+3bgivjLHjJQW2BCCOvF/CyR2SFKGes0yopiD8VDsiFQpaAXj3KINM1JCo9TlSNFjwQJUdU4kskSf7QLILDyWaImI45L5kqCSx6Nbwht7clf8rCj3O/ksP3O5h5/59BU8c7GGkklFccr8Ptd4Jq+Mmiil9D4O3gde/Q3g7veKDyFQzkme7zRKj+qK+TYO50l1EYLFrBDAGSHBdP2WRkqheMuntmWBns+gO1thv/DCJy0IzgaMvSuNG2Zc+4K44a59PnmirnZ1pO35LV+8hKSSsrGIEuxWKcEBPNfJ2CFGSVfBQRmxrCDBfl2lxMAOETMP7zwY4u5BuhUk+7+X+oGzBVFzhUFN4HWTRhkz9BDInwHpdV723qUS3LIdgjGG5y6JwffOkbim7p+Iz/6Jc4P5IpOkk5JQyzXXiCRYp6UEU1bwaL4NtCTBNc9ZZzUk+G5y/t+4e4zXbotrNnI68ByGnuei57vgs7HYmXvwhnh/b/2+yDROYKQE5+0QZEeQ9QD5tr/i/M2iWKhP02NxDVDHUFNCWpDWQte2b+IJboEExzXtEEIJjoVnuooEF2xXN04VSjDWxV214QkGshYn2gVoqRjUMSj6XRSqdXBuvpQHkpyjYAS88buiUcX0WPy8SAn2qmtZig8q2ygDUONVSQlWx5lNs7EmP7eTlSKHMIoRxhyuk8xf+UjDpkJZXUtEnaK/AqyUBOcLnariQfz8tlmCpp7guWpvDWqrzGW90iuSIeRT0PusO6Bd+zzw/N8F1i6JSupzz2gfpu35TSjLCm4lN7LEcwwIEuwwxI5QgidBhDDm8FxWbnepMPTXKoyLY6PJcHcS4/7xFDfupTfsWBbxlSVDJO89uVaq8nSN4HYxC4UdostmmWMnYlv2/LULQGuAfG5EoGihkOkUp0JegzpLzimmQwCZyDZJ1mi8aFIYB8xPTqcE6gZ2NA4lMY0dH2vJ57DV9+BFY9w5nGSV9rvfl/9Via8us108adYOQa/ldPT3fqoEc9EuGQDOPZtOiKZNKzQEMYo5OBee3aLkoQwaJEMQUiU4uR5qeYJD0Va6SnUtygp2cipgTWgb/LThCQZS0SccN7abFOE0fMFV8a0A0nOU98auXyrO5nX1OyNG0DSISBttaZTgi580W6znyet4T/uwuSz8WQtKMNCABNfv7pjHglf3Ysj7JrcH5QpjUUwafejGYejy+dItJM65dpUX1lXIytpEGn5gjZVggusBL/xC4a+nSvOJ+RcvU4LbsENUNOSIA/iuAw7hCU5b6zbbJpQvq1gCij5rCZUAl5DCcVJUFAYzTIII7++NcDwx6PyTV4INdiQq4TiYxi7AI3R4AMCZU5pNPMF1d1NMQHnJpDYNq3Kf/b4YBIMJkOc/i0T0NYESfeS5DhwmPIhRzOHSIrW2J1iZnE5RCaYcWMJnH9vCuY2LuHQivItbfR+3T6a4+eAAn1ZJljIhZdIhdOIB54oSTM0ykgxqee9n71EiF0EYAofviB+e/5iITrr+JUEkTKAhiLXzrxtkBBOojW/YyA4Rgblt2CGajSHaxgetkWBFCV5gkaHDaWQFZwrAiiCV4NzCvezaVT9LzuvtKGni67w5JVjhGec/Zva8efIajAVvyVk4M4umKJifd5vuFve2xdfhfbELtfO0aK5RhGBxJXilJHjgu3CYsEN84YltXFgvH3h8ja8ziGJhr3SY2UpfAWMMvssQRByzKNbaMWorwVRVHE6EoqiSKMMPrK02mEWYBCUrW9mxS6cEt2CHqCyMS5Rg7mEaRtle9mWoUIIpdSOMRRvsUrKXkODA6eJrb9zH0xfW8Pi5+YXLOEhUiGCGl27s4/29dDVcWMQHFCvBC6RDxDHHhHvw2Uxcq64vr72yjG0C/a52swwD0MSaV4ILI+/KiuNOq1scIZfN6rsOpmGMIIrhLpoOAZxaPNokiObsC89cXMPA3wFG4jPf6nfgY4jh0QHGfoS+74nJWVG3Kj3B6iIlp066FUowP74nPvP+tiDAAHD1s+ZvUuMJDut63XP3Zh1IOwRNq4bb3JQOUVkYB+X3OYJtkgBTBpoT9CR4UU8w7aaMWleCpR1imUowdRw02YnM7wBvXCv+G6pliWbiWqlT2KVZoMyJHetXgIufEBZJ0+fWze3j/TkSnFGCdf7dpiIFiQJ7yWL44INyEjwz210vw0pJsOc6+JHnLoAxhusGVZFzVcRQSKrXbPLueA6CKEIQcejm5Np+Y8YEkQxG4p8aUWasBDe0QxhiEpYkGBgpwYt4giu2gBLFLY6FHSLNrjSdHMqzgsOYI4w4Sp03yWr+IHBxczxGGMdaEjyKkgE4CnD/MKsAlCrBYdZvbEJSqzAOIsROBz7GYjJVlBbfoGimdgpKDfSSxSVNJpVKcBkJlkrSKZHg3HXle4IEz6IYvcaFcYP0PjglEkzxV5t9Dw4T1eiDjpc5jw4DdgYd3JntY286w/XHr4vintmJ8Ic6brUnWLNIkZ5gX78App0QPtkXBr21i83epMYTXCsjGFiIpJESHDFFCTZQ+MI4BosjQ0+wXmV2DSxPZZCeYFUIkp7gBXddZGHcJN0FaIkEk/qZT4xqE3Nb/zrkleDBOeDq56sTMCQJntYkwfN+7bl0CMcBnvxh8+cE9HP7eA/Yup75keyK6jkFJHhBO0QRwpk4X8SrFswIBlZMggHgsR3zg9elJlAxUdPJW/xdJIi15r5sRA78frrqpQ+LQtiByszLxg0zDDHRDXiEssYTVR1wTCBb0Z7ofx8nHeMgCuNkK09jJbh4C9JzHSCIEcQx+igjqWIinDFxQRB5y2MUu/AAuOEY610P+6P0nJWGnst2uWLhlykMaojRLELkdODTBKxMMiYku2nXRRN0PAeuIwjJaBYiiLgoxipaKOhakBJa3k6thLwfxHXVoQVFGDf3BDsO8Im/k/7/FHA0Fsd/btDBD3/sQvoLtcDQ7eDceoDuyR72ZzNc76wDnaFQgqfHQH87cy/oleBsekd6XQFM1gPoi7rYeB9YQ7olWhcFnmCghp2tjcI4DkFW4yhpjlQ+zcaRSIdwWKdadSXSk89aXlAJni7VE6zUySxwfnWQC4+a73s4DRFEMbZ1LZBzkHaIsvSqvELf3wF2nqw+kBrNKTLQkeCm3WZV6BZs1AVO/ZEaBUrqd3cj3TVqKpR11sR7KrISvfob4jU++58LddqwzqoMKy2MqwsdWZjVtSvMPWe56lo7Ig3Qx6TlikXK0Eb3nzKMZ5oBj1DWeKINTzCt9KbH+gxCskMkOcFzAe5FMAj59k291gn5mkCci6Iq+ENsgjMPndkBZuNsk4HylslFSnDzwWuckGC5ZZdRgs3tEG1HpBHofOyeCJI0KCsclJYcnRLc7iRaCY0dAkjGnaZ2CAAYnMMeX8c3399f2n2uIlWCc/eRqsgNzmOj56E328ckjMXEQkr19FhWhBO0i7ZcM5PUk+sUNuIhAsfGife4qJq+CpoOjqG8rusqwfWvL0/dmq/RdCBMjtdx3GpfKF2PBUpw0zFEuzvYGglOCMr0WNwzrr+4xSKB29AO8R++cwu//d07GM2qfduV8WjAPOkzFYqq7IFF0Hw2btuqOMWvaYrjjhOb4kbPT9VY1f/cVChjLKsG53cMiGQf3RJfW2ie9BEjwfNkgSaQukVxhKoitLGU/WvctDolq4aVwCTXdRGUBn8XZHkCaMcT7Hri5uIxMM1VgHIOxCFcxuC6PmKeKlgbvaqCkWofHk2ElTFCyec2lSQ4WwX/3u4Qr985xjAEhn2Rd+kfvl/+nJrnl55gWRjUnAzNohhxEncFIDN4mGSIRnW3jWuCrrW9JBO8NEe5rGHLaTfLyNkh0s+KK2pMs3P2yq0jvHb7WOYnLxO0ozK3mKTJw+sC3XV4jKEXHCCKOSJvkE6E02M5btAlpk2HkOkd4vPJKLE0tuSKhmlcd6YH4gf97fpvENB2jKtd2LzATkMmrqtGTFocis+GlbVMli9S5AmmeayhHSJplJG1Q7TkCXa97HZ1i/GGNO3XUYI55zKW9f5xNfmsZYeQB2ZIynKLbGNoPhu3bd6wcVWQ0slhOtYloKY7Gz0vJcFrF8V4sXZhsR0ulQQXzee0k9xCbvxHlARrPMELKsE6EhzHHCeyMKvGaljX+lW2UKx+nrTIYUlKcFCyvePqtywzP1u0Mp8mufFB4fN3FUViretWKzlyAiyIbUKN1I1EqZ1w6niVXmfTMMLX3t7FN97bRxBxnAweAwCsj2/KP3/qfInFJ5yK7SXGpMrWhic4SEiwPE3uvB2ijPxTsemylWAiwaV2kbKGLaeuBGftEHoluBlJoPuQxphlIjNpqehtisrxK5+R512qim4/Q4LJRrWePEdlYRxyLYv755KDuZNJiPBdB240Bg+n4nw33dqUftl0DJBFeabxaIvYISiuK1aOxWCbO0yuLWaiuBaQYBmR1rgwTpcO0UIkJiHTJbE9EtzEDqHu7NF4ZPJ4o3QIgukcWTbflkHTrVL6o9sqEly7KOYozufm6pOpON71ricK5wCRevOp/wz4xM8u9rqXXgC2xLwKHqfvNZNYkxxPC8LcR4wEz8fANG2UQZADvoYgHE9DxNyQhGUOlOwQCgmWLShN7BCUR7pkT7BOCS6zQ7S1PdZLtjvp5pHPn3qOr2ymk5BRP3WDFbVx6kaiVI2R3lg0EH6wN4I63o56V8GZh+50D248xX/2xev4gWf0LbgBiE48PBarbJ/sEIt7gsOII3I6YtsZyHmCq+OTZGvZZSnByQTyIGmUUZgMARTnBIez1rdTK1FghwgWtUMgvQ/VVsbLQmnDmad/VJDgJLqNxroZ62uV4LWOB9cRi8M55TFXGCfTGRwm6iM2ropJbf9d+Se+y9ANjxDFHPEikXEagkgLP6PF3c2XxIS/cbWRkkV/EnGu2BaKF+UEUoIdE5tZEQleICItjrme6LXVLAPIFoi3uIBNLQDmf6MWdz44MSDBahFYERqT4JL5tgwldoiFa4me/Ung4vNicTxIFq6KJSKMYoxnMRwGDDAWcWaOl943i84h6xeB535a6SmQ8AJVFBntieuTx2L8XeA1P2IkeN4OQUTRL7tAS0Ata3UXjizKqvKjzj1psupVA59rqKhEROqa/V+9fYQ/ev1e5d9RcYu+MM4TFxUVdahoWwnOB2IrnuMvPJH6AjeqiuIA7VZoHsapGzklGEgHwncfZCNwuOMhcsWg3mMRer5brjrtvye+7jwlfyTVxQXsEEEcI3Z8qYxoPcEli6parWUbgBZc9DpGSnA+a/u0VWAg68HkPNs6uQEJ5pzj9uEY0zBaKglWW73Owtis4czO04Dfl9fAxO0pJPgwUxFOzzO3cMuT4HxO74XnxNcHb8o/YYyhHwqvX9BZgASTIs/TccvY5jPcFV3ymAM88YONXt5VVckadoiQ7BALkGCTLPAiaFsmq6/RihKctvdtUwmW57yG+jlWSPDecFrpoaVrvNQOkZ8TT80OMU+CF85M3nkSePKHBLGk3RulOG54/z1c2v0rrHcZ2P4N8cPtxxerFdIh76tXz9H0KBUZF+QjHykSrPNOLuoJdh1lUsvhsMhHV4VBUn09eiCUBaCWHUKu6mvaId64e4zbBxPsDotXlWq7w8IJscis31ZGK1V/55Vgpd1qx3Pws5+5iqcuDPD81Q1UQm6FlhTGGSrBk/EQkzDGiKef++5whq+9vYv7x1PkeWKcTL49t0L1CWfA0YfCCrH9hPxxR9oVmg9eqRKc/ED1BOcahRT9vfrYtpHfdShV992OICPRLLsQO20/sHo8ABAF8p6ZhrF2S7IKd44m+KPX7ks7DZBGxrWJP3nrAf79tz/ENIxk8U/pwgMQnt1rX0w7DHJPbIc6HjA5QnhPENdB15OEYG7hFurTIaQSu/2keL7h/cz40udicRn6Bvd6ERxH3FucS2mQznGlEjy8L76ee6axJzlDQmoUxkWh+Hy8Op7guY5xuXisGtC2TAbaJcFLVoLrEL+JknASxcD+qJyAkmhUng6RL4wzPGdyrm1IghUrVpMFQSWoSFVRgoP3X8LG8AbOR7vAXrKjs/N0e69JyNf5qCSY8/SeXTDC7yNFgnXexsU9wcVmcuN4rjw6A7G1GAUp0athh2iiDHLOZWwJFZPpUDjgqSjqvtYaCS5IiMglaGwNfPzwsxfMzn/Ou6mDSepGGEb4zrt38P1bhxjF6et++/0DvPtAFAA8e2k98zdxMuD1nIrBh6qje9uZMH7HEY08OG/uCw7JE0yqpDLRUFMYQF8cJzt6OYatZRtAzU3uek55YxzG9FnBq1CCgYxaQ1ui06CZEkz+33tHKQEczaLWc073hlOEkahpoHGhkgQDwIXnMLn4Wdw7/9fF+ON6wOM/AADwbv4FvHCEtY4rF25zySkFdghp03E9bc1El4nzErAFxxY1oxc1ItLo2lokailDgs27xoWBOGeuCQl2i+wQzRNmtC2T1ddow3qkdklsUwlu4IOldCRCmS+Ycy6V4FKhLX+OjJXg8k6nWtDiO2cDcBwGR64BWxpPBjklOI4RnIj/b+EYGO0Kwk8e3jaR393Ni3In98TXBRXojxQJll5Z1Q6xoCc47bk+Tz6M47l0WE8C34eiJWkdKwFNVvmbtQzjIJKiM7Xu1SHtFrdCEux6ggjzOF3NAYtFsJk0yzConn3v7h7AOWboIFKyhOlvfvjZ8/hrT53Dk0nx27m1DjgTr911KwgsnT/NJEDNXppaImZRjMjppmNi7jXKiu9qNxRoAHWCferCoJpsy4QVlQSvSAlWri1aPE7DqFFhHJHGUe7eHhpENdUBWV+mYayQYIP7ijGElz+L47UnU6vDxY8Dm9cwCwJ0Z7sYdD3p6X71djYaML3GqahUQ0JpEaOMLz7Ea4V8wWuQPqvEEhGYtk1uYYElC+NUT3DJoly+dGKHMCLB8lrMXj9+vlFCDRTWiNBrtNGivLscEuw0UYKTVBPiE/l7UcU0FB1pfbeiI22+0clSSXCxQu8YzHG10FkT90Q0A6YnwHgfk0BcrxthIvB115dTo5HPUM4XD5Kd8lFSgvUd4xZtlqFXyDjnUlGt7FamA3U9IpIn7RDVHxipZuPAXCEaTtMb+aik2rxw1a9i2XYIANhMOtAcpqkKC1V6GoSOm6Ru3LgjPq/Q1XcwvJwU7P3gM+fx5U9ewvNXNhATCa5SgkviXBZNiBB2CF8bkVb1/GF+y3oJ6CoT7NMX1ksemUBmBSvFcStTgtNdBrpvJkHcqFmGNlYM7fqCo6Q1OCAWVcZ2iAQdV2N16G1jFsXwEyX4s49twXcZbh1M8O+/9SG+/s5u8uL5nGCN11yq/On44jNxXmZ8wck0RxKJHFXODzK2cAES3DAiLSXBi6dDNFGCC3cHa8xZlViWEtwgHWKSkN6dpFGG6hHOQxYMlrYYpYNRzpOpkNMyCfba8gWrkJaIfWC8J+0h62GiDncMxvMmyAtb+XMUJNFsj5InWBuRllykpQUfJUijZbLkYDSLEMYcPd+plxFMyJNgaYeo/sAch6HnO+A8XbVWQQ39LlOCaRIut0NozPqct1cYB6TbJ0c3xfPG8WLPbzDpyNaiBQVi+8MZjo+FsqUjwb7LZJi86zBc2uyh4zngySq4yyo+q5Jg744avdUAYSzsELrCOKA8K1g2FFiiErze9bDWdXF5s4tzawaLKJkVfNbsEOKzngSqEmy+eChqvPKdDw7x1r2CLoo1oZLXrBJsSIKp6E091s4AszCGF40x6Agl+IeePQ/PYRjNIrx9fyiIfG6hrFeC57PIPbJDLEyCk2s4GQeMI9LktaVf/Jog07jBoFCXEEd1PMF6r7Hviq3wMOK1CdBEVygdBeKf47bTotxx09SkZaRDNCiM2xmIczkpIcFyAWlCgpsowTIBoYEdQqO+Nm0eUgbe3RA7KlNhf6D5ooPk2l4WCc7vplCCBr0e5RMv6Fn/SJFgN/G8xDyduBfuGFeQDkHbk6VRTmUYnBeT43hfXLQ1CR5NWGVbNSpUJfhkEhYqyEaZh7rsQnVyqzHpF2Ljirh4R3vAt/458M4fLaY8GCjBRGCLBr2DcQAvUR5Dd36g1qVUdDxHKsEdx9AOoRkgKd2kacenIOLgjgecf1ZU4OcGyI6BErysZAh67p//3DX8xCcuVT8YULKCzwAJVhSJrlIYxxsUxuVJMN1Ke8MZ/vLdPaMOVlVQF1LTMJK2qr6JHQJ6EjxlPUQxR5dP5O8f2xng73/hOq5ti8/jzuFkbrdjLh0CSMcX5bPtkBKMBYuwZEJEnHn9yui/FpXgOOMJNimME4/xfAPiVOA1ZozJwq0yUqeDtmWyPB8lmed1sXZhviPYgqBFf53tfyL91DK57HxR0eq6SZ+ARnaIZE6pUxhXogRLErxoTJqClx9wfPv9A4xO9oHRXpopT/f0Aj76UuQXfHSOKLFGFtI/QiQYSInMKLlwW8sJzpEDytUs7WxVBsdVViwntQkeTVimvmB18ox5scfQyD6iyy5s0woBiPOzeTX9/uB94PAD8f8myoNBNfZ6ck6PC7aeSena7HlSCV5T2vvqGqZ0PAc8mXi7xiRYQ6Y1Vp86oMneeeZvAk/9yNzvyzKSQ3lNLI8EA2KiNi68Ky2MW106hOMwhSTOV2hXYRpkP998vcGdQ02r6JooUoLXairBU2VMHEF8HmvObO6x17fFvSJIcHa3QxtRJtUvxQ7BxbmcxS15gkkJpgVe1bXdghLsaCPSqsdvskPUSofQPC/Z6OqSYFJGMy2TiQS3ueB85seBz/yjVklTk1bB9H5pR0pnh/jztx/g17/9IfaGSlOIyoNJPj/mmC+M3UWU4GI7RBNveBHuzjqIOTA63AXGe/PZ28siwXOe4Jn+9R4lOwSQXoxUZT1d0A5RFE9FJHLQXWB7jkjw9FhJPqinBJf5ld65f4K/urGHKOYY5shykS9YRsqVnS+5XancmG1aIQiXPyMU4c1r4vuTe2IA2X6y/nO5yuRQMAAQoR1NQ21U2DSM4EVjrPd8RMlkqCZT6PKiO66DOCHgPqsiwcV2iEU9wVQIVWRp8EvsFlq1btUgJfjOd4Hv/CtgcrRQS9uFkBuMSTELaKFZwxOcP//PXlzH4+f6uLAurolWSLDyGqonuG9IgrsaJXjIxWQ9wPzxXdlKlOCjCTiRyWRy13uC52OhPIjxa7qwHSLbNc4o+i+OxbXF2EILrIwn2GBnCkha+LYQkQakxc6TmgtprR0iSPLQ/eaLgjk4buuEqW5EWpTkZzOWihqTIJ6bD24dTDCcRnh/T5wHIxJMn00doUi1HppaGEpSOyiFpS07RBxzHHGxGxAf30EYzjBzBnAcV/qxl+4JjmbAyf100UxKsHzco0qCp6EIgY84PIc18+2iRAmeLagEA0rQ/EnqazEkkbSqL7ND/MU7e3jzriDCo0TdpNUtxbvlQUpjuRKsWZ22rQQDwMZl4BN/B3jih9KfXf5045zOTGMDDTzXQc93EHP94oKUYN9l6A3Eja0WRc61nEVCghMlsONUeYJL7BALdI3jPC2EKlJzy6rHwwWLS5cClegGY2Dv7RUqwVmPfJqRW58ET3PX3UbPw48+d1F2Gbx9OCnMcjaFSl5PpiGCmmOkr4k/G8bimu2z+cl6o+djresiCAKMpoEgk8midC4nGFBIcEqoiQS3VxhHEWkGCzzVZrOA1StNh5g/jiIEEYcTB3AdBmYyN5SMcb2GSrA2HWIZdoglgD5WU9KnFoZ7rmj6wnn2Wg+jONNoBqhph6gjFKmpEgb+8czjtHYI8bWtwriTWYiZuy5SY8IQYcQx7l4C6yqLmWUrwXe+C7z2m8BBslOcJ8GPUkQakF6Mx5NQ8bo1HziLOu2QF8i0mEQLpeVoXRKZeoL1N4Z6kb9zf4j9kSC9lze7pX9nFCknJ33FDkEqXJskmNDbBK59XnSdufq55s9jYIlYUxZReUzDGG40huc4WF8XvrWtfvp+dXnFjsPgJApOp1IJNkmHqD94hYpHixVM4mVd40Jd8dKqkVd7ebw6JThX5CSV4KBejmoc87nPl4jHVl8QyWkYy3u5KVQSfJg8V50xUqsEhxyx20XXRbYdfIKL6104cSDGHTddpGgL09xc+kwcwWUcYA4CvuA1SAuSJLlDLg7LPMEtec3pJcI4rkGCYzAeivNjQp5KnrfXwBNc2DJZkuAWleAlwKvZXZXODYlMOguJTiCppwTXVCbrJkQYKMELt05OcDIJAeYgdNcQRBxBFGPcuwjWSRZHjC1voVSk8OaV51UqwYyx/yNj7DXG2MuMsX/HGNte6GgMsNEVb/hkGmIULE5Uizw0UgluWhgHpNmIM8UOYWji7ldkBRdFKpESXKQgz0zsI7ouNrT91kalsA7XvgB87MuLreryHWY0yNtpVAgleALPZXj+ict4/uoGnjg3wFrXhecyrRIMAJv9nkiOqIxIq7ZD6PKqqyCVXK+YQEgSrFOC8x6vs4B8gRLZIZizUk8w0FwJ1qn8ajHSxaSBSFl4vwnUXS0igUZKVgK1iJJU6eE0ROAORHwabZUr6PounDgQ16JCAspzghMSHAklNGbeQq3DAcx5ZiUJL7u2WyJ8maSCGiTYiRMSbDI3MJaSn1wGcaoEm5/DwpbJ0g5xtpXgXkdcq6ZdF6mAnGpu6P5TiW9+zvVcVp6mRKDrvi4pM5i3MijxBGeyqhuCc45bB2N88/193D0SC8SZvy67zY67l+AQt/EHmYYdraKIC3QG2R2bBS2ai/ZD/E8A/hnnPGSM/R8A/DMA/9sFn7MUNJifTEJ5QRuFwBfAcx0wJtonxjGXAwGRzLWFPMGqElzPDjHwxXsqIrN005Pye/doCk+J8Cr6O1KiSrvf6Famy7BDtA2DWCJa1Ly3N8LecIYvPLGTRqfNphjEM3juAOubm/jipvibL3/yMsKYy65Mefzgc1cQO9tw0dwOURZhVoWZQcSZzMPWkIzUN3mGNobyBUrHd8TX7no76SR1kLNDSCU4DAEXxiSYiuLWuq68P1WLAt27RVnCptDFsOmKOovgOAyeyxBGQrnueAwHowDrbh/9TiyiidYuZP6m6zmCBMc8c31r/eb5moPEDhA7XmNPfHrwOU+wyS5HS0pw6k+FsSd4FsVwpBJsOLY6XlL7EGaIgmzkUkMJLswIpnNyxpVgKiw9Gos6j6KdMMLxNFvo1tcsHPJzp5EKDKTzT905skacXuZxJekQizTL+Mt39/D2/WHmZ4G3gSDcxcxdQ+gO4LprAPaWZ4UAihcTblf8o2t0wXSIhf6ac/57yrd/AeAfLnQ0Bkg9wUHtEPgieA4TUn8co+u4rXiNAWQ9wZQpaniDVCnBQ0nSPbz45A6+c/MAF9d7ckFQ9HdGbaZLSXCLhXFtw2Dioevn9sEEtyGU82cuilVtOBXqh9vL3thVuwGO64nFU9UgVmaHqLmtpyI0sLiU2S1OIyKtNlxPeMUnh8C9V9IBr9tevJIxcqHtNCYEYVCPBEfpVuwLV8UKSz3n9LxFWcKm0Kmp6916923XcxBGkSTkx5MQfa+Pvj9J8zkV9HwHDg/E+KKMcfp0iFzyRxTAcxMleNFtXBmRRs0yaIG4fCU4kw5huMWteoKNx1bHBzCdG2+kHaLGIqqwedJHRAnuei76HQfjWYyTaaiNsVRBO4C0q0dNMNT5sjkJTq69ZdshZJOeeW5CYsoibZN3NTtRU38L4SzGuH8FmAFubx0IsVwSXHQeXV/8OwskOIf/CYB/XfRLxtgvAfglAHjiiScav0jHc9D1HEzDWH5YC6m1EAQhiCKEEUfXUwKyF3xe+D3xYakXt+EH1vEcqcbMwnjOvkBK9XrXg+c6+NKTosc3XfyijfL8ytgoV5luSrVjXMlW/pmBwYo6P6CpK+ZoKiZ3r1ez2tVQ9Sk7h7Rdq7MrVMGk7TERLJ3fLVwwa3tpuPS82EG590r6sxYzRo2hdIwDUsIQBhHQRW0luOu7eO7yxtzvKec1H6NWFzrbRZGVpwhdz8FwGiGIOIZTMX4N1jfhsH29HcJz4UZTcS16qhKs8wT74pzFoVQ0PcbAHbdxRKCEYkPgnINORdEujjjIdrzmnmqH0GWtaxCEihJsuo1ekEHc8+rbIQpbJreQm3xa2O53MJ5NcDgOqkmwMm8CihKsLBzGic2SMVEDamwlonmgNgmua4coaZvcIDc5DzVBihbUx2tP4la3g0vnPgbcGYNtPwHMjoALn2j8OpUouh8oxWV6LL5fdkQaY+z3GWPf0/z7BeUx/zuIdcG/KHoezvkvc85f5Jy/ePHixYUOmi7Ke4lfxTQEvgj5DNVhG8kQBLWS0fVrbeX2NDcogawgeVLnOAzdpOI1Pxhyzs0yYb1u2i98IjqopSrmKfsx60AOJsUr6vyCiW7yOObAbCx8/t2aq1vT6t6ydAgnew3WAQ1aZZ7e7aQ70v5wNpc+QNdJaQOVVcH1suSkt7mCY8jbIUgJrlcYJ+McCwgZnf86Sp4OOiW4PglOF027Q0ESNzaSc69Rgrueg+5sXyyoqM0qCjzBQDYhIgrgOg5i5rdgh6COcZHc9ags+CRSv3BhnE4Jnpb8hbCLSE+waT1EQVZwk3QIrR0ijpWc4LNthwDS6MrDgkQkFSe55hdSPdcowZ+4soFzaz6eOm84H6xfEbsJG1erH6uisR1CowS30DaZxo9nLirvmznY717HJBLnqzPYBD7+t7JZ/22j7H5Q59AFC+Mq7zrO+ZfLfs8Y+x8B+DkAP8UXzfYxxEbXw+7JTK7yTUPgiyD7ricq3KiNZAhCd0N0RQNqf1iyla5mUjtR7BB5DDpuEpIfZqrC1WSIUu8UYyK+bP894cXsbX407BByMCmeBNY6ntw+A1JiMg1juPFUDCJ1J0MTEhzH4vdMv+1JSlXURAk2iDjr+S7Wui6G0whH4xBbg/QYtGH5ZwmdNcUOsQIS7GQXV0RWw2Ca/X0FyFrQzW89J0g9ne3YIXxX2LwcVn9Bv6YUkFKh3ubmFrCLQiW4N9tDyHnaMh4lzSq8riBa4RSIZiLqyvVkN9BS5bYMCkHUxrPpQErwgqpnpijJ9RK1OxL/ChZKs5Cn6RDGSrBeOcx0MzTwxwIFGcGqR/os1QkUgHzBhxWpKnHM56JP+5o8fnrMYzt9fPGJHRhj/SLwuV80fzyhdjpESWFcCySY7tlnLqzhtdtCbfUchjDm0oZ5KoKJej8wJ7WUAlkSvMqINMbYz0AUwv0853x+ZFwSLm9lB6tFJ2+/SAleJBmCsHEt/X9NAim3RzUkeJjb1lFRVBwni+JMLmA67uNb4utHojAu693UPsRh+JlPXcXnHhfb6kRMZmEMJ56Kybdu+oAJCa44f2le9QJKcIXiRckhe6PsYFu3mcKpQ/WdrUQJTj6zmCaA5DzRdpxhWPxMF0WlICUxCyrBifeY1N+1rmfeqS8B/e3JNJAkeHsrIQRaJRjozg6EEjxIi+YKPblqTFpyXp3ERtG0dTiAjCfYuAlM2I7q6eZ3c7xcFJwGIh0iEOenbqvd3Hij7gJm5ozRHvDdXwHuvz73VHSt6Vsmn30VGEh3uaqU4JNZCM7FbiB9VkSgd09mGM8ivH7nWGbsL1JwXwumdjrCEgvjRCKMuF+3Bx18+ZOX8Hc/c0VyETrHRQv5VqHypaufA65+Fvj4305+154SvOg7+b8B2ADwnxhj32aM/T8XfD4jPL6TNesvVLyGVIUjMjEqUVlrY7u5/7lLofVBnszGQrl0NAUNSG/evP/TqFEGYeOK+EpV+R8FEmw4mPQ7rhz8ZmGMSRDhcBzAixoqwSavW3H+yppZVEG2wq5Y3OwMEhI8zE7KtH06MIkBWgWIZDrecgsxipBTalyHwYmEggnXF5E9BkjzWPXnWRbGLagEUxY0+SPrWiGAdHF9/3iG4TSC5zJsbiYLEI0S3AmOwXiIMVsD9ypygoFs6+TkviES3KRhjISiBBs3gQkoCWFBO0Q+nipno9G+dBiC8UjkuxrbIcgTbNgw4/a3xYJN9dbT6+vO0eRAfF1WJ7CWQfntR5OgtNEMFcWpwtGg4+Hcmo8w5vi9V+7gG+/ty3PSP63x0EC8ycCgbXJTJVgWzidxm5c2e9gedNJuhEH5GNYqVBLcWQeufyntLqsKVauMSOOcf2yhV2+Ijudgq+8beYBM4OdWT6knuIUPWp0gJ4e1/pRWW/lJIW3k4Wm3vAaFSnANEtzfFpXBwQgY739E7BDmnXfUm/q3Xr6NaRjjMinBdSdDIyW4vO20t0DIORHn0oYAAM6vEwlO75tJECGKBQlvvAW9bBDxXYUKDMxtbXuOAz88EWSnhj2DFqVFSnDHc+AwMQ41tQREsege6LB0HGhCgulvSAU+N+iAeR2xIIhmgjgq94kzegDPZTjp7GAaxpKMadMhgHShGYzl5O9KJXgREpwSROPUk5aVYElADIrjgmAKB5ANd4xQ4AkGhChyOFbqQcYHwtZG/5+epPn1SItiM7uDJ3fF143L5se0QqhF5BTpp0O+KI7w2M4Ae8NDWWdDOLW0nFzhbSVKPMHOoiQ41C8c82LbqdeP5Hdn1Xn0UWubTPjUNTH5XNpYvFDLyzUqkCSzDSUYAC48J77WjJspUoaOczEvedC29iu3jvBHr9+TN4RRtzgVZHo/+OCjkQ5BE+t4v/KhNOgfTQKp0LnxTPj6anuC3aSUOBbeXx0qlGBvgW0sWQBU8bmSEqwWx03Ouh8YSNto98+t7hgUNdhxGLrRCTgHYsoCN8BBYkPZHhQP2mUWKBPMlN2ex88NcG7Nx5OmhT0K8kThXLKAkot6VQ2+8WfAB1+H5ziYdM/JY49jDskH84SCcoYPP5STv+enuzONoXSMC03i0cJZ4tn1FvYWps0yRBGySXFcGGQXAEYo6YzZyXf7u/dq9gFHtzLfaq1Ux7fF1/Ur5se0YpjspNG8mU97eGwnXfwQ2buwforznMGOQQZSCW6/MK4oPUpVfhlbAQmmOYBAC0zmLOxbPyXTS/t46sIaen66rb0I1EYFccylYtPa9vDjPyhUhp2nav2ZHNByyggp4JsF710t6Lt9MMGDkymOJyHuH4vBuLRRhortJ4Hdt4H9G8ttm9wWtp8APvg6cHhT+OAGxaRJFjcpyqsbTeF1G5BgQExM0UxMTI5mYVahpDsOg8PEBBrFvJYKYZITDIitUooXnAQx+p20aUMrRaDLwuZ10U1QKbg6dVAuZTQD/D560QkAIOpsGCkJkyDCeBbDc1lp7mjXczGeCbvTWoP1vdoR8sJ6Fz/z6WbV257rZApIL9DB+GtCUZwNxf0VTIAHbwAAnN4Ghr1ric/UR8RL0hm2nwDe+3Pg6EOp8rheB4gXVYLTXRnZBKY0Hq3dphCuI5plRDGHJ5uCFJPgKEgsNn4dEly885Qv8sbhTfH1wnPAgzfF+b74cfn4Wd5KNRuJRCDHAwbnzY9pxfBdB2PEQsksOJXHk2TezMWobQ862B74OJ4E+PILl3E0Dgrn1qWgth3CJCKt2T1Ef5fnCKoSvNbV70AvBS/8glhwd3NiQ9M4Og0+siQYAK5sLebhItA2chDFSb4u0O84tYtJCuF6wGNfqv1nslAmpwQfFdzMhLyh/8ODsazyBKq9oxKb18WNNtpN/rC/sFqyVPg9MdjfexW4+33g6R8tfKhuJevGU0EkG5FgLyHBIUR4rILb3wE+/GbyIsWTneeKXMYgiuEaxm4BihJssCLuJ8khkyDKkOC+f4Y/V8aA7cdXewy51sm9WBSHRf4GTIbhg6Ryfbvvl04gNNl8+4N9nFvr4vOPb9c6TBln1sACkcd618d4Jp5vZy15l2RNISWY/KNrF7C/+YMI98dyvIrK7Ah+H1i/LLbeD94Xj/M6wKwtEhwXx7OpaKlbnHx5xhCBI+IcXu6a0UGS4FpKcLEnmKwAYcQFmZ2diEXGlc8IEnx8W4TfElmiBTSNHSdJDcj65Y9EMgRhjvxrcJQowbp58yefv4QgirHR8wvn1aWhsR1C4wmmZhkNg7rIDpHfVVSV4R94+hR35AbnAGhej+wRC1ohgI+wHaJNUFOM4TTEMKmUbyUjeEF0CqrFj8bJzdzXH+NW38enr29KlfyDvWwhi3FTBNcDth5Lv7/+otnfrRKXXhBfk4m1CIyxuZQMN54JQlk3HQIoDjyPwpQAA6U3LSm5dbey0mKG6s8131XqI2GHOAvIFcd1Q6EEB4bFQ/uJFWJnrZzs0LbjncMpXrl1ZJz5GkYxxrMIdw4Fqbu6tbiyKbtqeU7ahIDsEJQQQXUOve25dIuwKqJs50nxNcqqobNwgXSIjCe4Tre4dkiwp97D0hNcvM0dJiqx6zfwBGtIk6cIOrKoeeOKaDLT3RCq9PCBfHyQ30U6uZ/8zUfDD0yQbeELFlBREu/FmL75Rc93KxttLA217RAG6RANE1aK7BBPnB/gwnoHP/KxC7i8eQYaqNC9VUMsKoIlwchWl46mLcajLQiaEPMeuaJtHRWffWwbn7kuYsDyhn9jTzCQ+pl3ngQurKQOsh7+/+2daYwk93nen7eq+pprZ/be5ZJLUpQoiToomaIvxIJlynYcRbINI0gAB/kQRICRBHaCwEhiIIC/BUaQ46sQ+0OQIIYRO4aRAHHsxHGiwJZMKaRpWbapm8tz79nZmemu458P//pXVVdXdVV1V3dXdz0/YNGzMz09NdN1vPX8n/d5+3vaJ+SPpuYFA+NqsOWPABXg7N7ObAdWXrPK4evZz8tg1hNYlD9bpgg2QxBCBXgt7BBNIHWh6vq6CPSccp7gqAie4gcGJt/Dst7g3/+Lm/jNl17Hjbu6qKtjlczYNs4mC/dOqASbIvjknn4c7EcjaE1Tlp+XDGHYvz72X6ejL2xzKcFjEWklvPKRElyPHWJsPHmJ4sYLlWDzu5ciJyJt/OcHcbylGd6w94h+DM9JQaAn6okkLCNG4U8vPzecTtTXk33ufHDq6ulvPadZ4+GBOewQWZ5g/XeYWQnOKYL3+h388DOX8di5hozRHhxou87ZJ+Z+qdVXeg3AKKaHJ17UQdqEoiAZfm44GflhB6w1OeoyRd64x9KeYEArwc/8xGqGFMyK09cnc/dkrBM6TVIJ/t7r27hs7aO3PWMEV16zyv3X9OPBdV2cJ/x4E5tdYkkvi2FB/mySfne8UIkGZTQ1Hq0pJJe23VM48BBYHXhZ/u8MIjvEVjkl2GD8tUW8fagVRU8pbHXr6ZV49OwWvnnrIZ66mDiG0o1xxg7R30dPjZ+vCpXY3o6+kIV2K8cowbWkQ/iJeLYpx0XdSnBSiXWmK8FKKQSe3i86NXmCO4n+llgJNkXwVeDmn+nmuKvPRueZsfdnHSaDZuAUKMFm9bQOm1DtVLZDhEKLTJ6z7TnHJkcjk5uaFGSwHeD9n67lpRq4RyyfrhM3gZjmsSYowROdvkj6gYu3L++AL22HMKQ7M5tOZ6Av0t7p1CI4WTTuOJ7+/6zewKwLk1I6WQMArjw7tVEPmN0OYTyYRTdFQKwEGzvESdMHZTSFpB0inHAWWL1S75UfKNw/cbW1uaA4TYfQl8kMTmej1tUrcWbQwV/98NXxT3ZSdgijBPfPoOfqbf/aOw9w6vrR2NWpRejB9UQR3AGgojzzmciISCvnCa5HCTaeXNcPYsU2pzFu5Mcjk6VKw/EUT7A5t/ujU13gW058/t69omXfh+8A3giuGYGbvHk221qTR3pZdJMKfAbRdXOZDW9lqdMOMeM1xJDOCW4DDS/3l4exFrwZeuqaoAR37PHcUADRNJsy/qVO2OGdpnHLQXWTzCCdQlJ127K88e+tSpYn+OSuvsh2dwoLYCA5Na58EeD5QZQLW+bmJvIEhzaIKAmlAft7o0leqAIPlggCsUt1Yd8/0Uuxu32nMPs3ffEqY4dIKqdntzt4z6UFLmV3E3YIb6RvNi0H6O3iwm4PPceCHwDfvn2ML35Tj4ufWoQmLBGdrlYfaxmWoYJ4Wt00O4Q5R8zSB5DBWN53QU7wyAsgytPbV6XL3cq3Q5jf1cua+uZ0ge2L+ub86K1EqkxWEdzgFKAM0gOv0hQ1k6+UKZF3Eyg1NW7TKMEzR6Tl5ARvMu35TQtILx+uzCSfIj0w48FwelNcmp2e/j22e3GRs/SMv2VjTvxG5cnBKCCWAH2EJ5ZZL4ZZnmCzZFxyyEORry0Ls1+UHWNpFF+jBA+XOQFonUnaIcIiWFl2qYtN7AcuLiyeOL+NvYEDcw0qM0LZFMo7fQc/+oEr4x7eunF6+l/gxXmy/TOACHb7HfzkRx/BjzxzCY4leDj0IYLpPsLBvl6m7+6g09MFdi1jkwOvXGqKKfpqikgzx/DIDwpzgkdeANuMTJ7SKzDBVDtE6AkdmWI2dT4bxKOvzblj3A5hojDXyw5R1BhX1Ey+UixLq/tKFVsiklGlGft1HWOTgeLBS5tEA/eI1ZAsgi/t9Wrx1NVBlBvqBtjqxgpeWQ/nbt/BzQdD7A06+Ph7LuDW0QgXm9DduUhKK8H6QB90bci8F8Osu3m3WvzSLCewqkVsPzEpzw+HGVjSgtWBeTEFjTdMKMFOqfeqzJAMQ79j41Mfuoo/feMQL712L578NYUoG3hZ6k1vD/Buxgks/TPRl0QE53Z6+PjTF/D1m0d47+W94qL8qU8CIuiFEVZlEzEySdyMlotIM0pwPefEsYgyZzxRJM3I10qwbUm1/PUSRbDyTrTElf69jPfZPYbXTal+QaBv8kTWTgmOBISc47FMM/lKsTpaQPFH02NII/tO9k2K2deDGYvgaPpoi+wQLIJDkl6hZ66emfLM5dK1x5Xgk4qRVlp9eoizW90wFHy9Tm4zYU70BUqwsQZsd53EMuCMCoj5vuQkLXOBLTkpsMzUozRVmuKA2Dd8MvLHpouRApJ2CN+FbQFKnHJKcDimuopCG0+OK68EL22Fp78HPEwUwRlWn0t7/fJRSqHqNEjsmzNjJZXgcBLk1Ii0eodljDXGRTdO2UWw6ylYgae/p5IdIvwdM2wWUUTb6BToY/J8Zs5F7slkEsCaqsBAXPxl+cldP4DrK9hWub6JlWCG8RRZIswNVc5Nm2UJJBy6FASq8qyDNtohWASHHGx10e9YONjq1tZYUgfRxXDGbv6nLu6gYwsePduQaJNlYJpcCpRgowocbHfmD803apjJTQUSSnC5i4ptVbdDxPFo5faHZOJIcroYKSBlhxDjCS7xXhk7xP6gfBFsLtalPMHLLoJNUoy5INc0zrrrWHAsgRcouH4w24VYRKewqAC+F45jzvMEB37twzLG7RDT0yFGvg8rcGE7Fe0QUUTa5M2CEU0C1xTBaSU4Pjcau0gUmbmmfmAgEQ2XcVMaC0cNLneim+wiO0Tx/mqLwFMKXqDQrVgE50WkbTLt+U0L6DoWfvzZR/Dx96xwNGsG5qQ2jLr59WPZO1rbEjx5YadVO/WYEnz/Rq4Sc3Gvjx/74GU8++jB/F3R/X39OFYEh6pwSSXYmcEOYZbLy3qCLUuiYunBMIxnatO+MSvJdIjAh20JlBR7go+G2pva71iVEjjypkVmsfSbmX5qpcz4TOt46fBvdDyXGqyLHT+0C+R6gs1I4cFBNEFtXsbsEJalt0UFmcXN0AtgKU8f9zXZISLrR96yeSeOuHP9AP3hLRy89X/1+W9N49GAZD/F5PFyUtFCuBLKNseVWLE0Kx+zZAWvTURajbTnNy2BZUl9o5Jrwlw4T1ztcXN9nQSw8c1t82CU4MM3gFd/B3jtC7lP3d/q6pPGvN7ASAk+1N46INF0U+41p53I86gyKMNg9inTLNJtkf9rZibSIaBzggusK3eOyjfFJUlPX5uGec5KimCnH2cH18AgGrgxvyXCd00RnLN/3/m6fjxX3xCgMTsEEBcr3uSq1MgLYCl3hnSIKUWwbel63hsiUJgsaCMl+BSuH+Dg8KvYOr4B3Pnm2sajAdMb407WYSCQPd0/HlHgCQaKM5OnMTFBsAWwkmo4W+ESzsOhHy3r9Ds2pCblYiNJF523v1b8PfN6gm1HR6GpABg90J8zSnDJDNKZGuOipfDyJ3jjhTbNIlSCSzBmh3B1OsQUJfjzr97CH3z9Nl67q/eBi3vV9ivzflazQyzpIp+cJlYi+q8KtfiCw4SIwJ9ih/CGOsNbBDj75Ow/K4UZXR4VIGaF6PjOxHNHXgAJc4JnTofIUPs6tgXbH+mIuPT5zJyLvBO4no/+6K6O1XIfrrUdIo5Im/x7HFdcPV0JU3zeY3jFKUadKX+LaWROEGwB7flN1xQTbXY88iJ1pNEHcxNIF53p5dss6vAGmp9jBgiY1yytBFcfmxynQ5Q/lE1CxGHYjc8iuATJ6V9jOcGT79Wp6+M7d47xzVsP8e3bugh+/Fy1SYRdJ8wI91Wh5WLpdgi7E+cF12iFAMZXvmYmLCiCaXaI+zf0DevulVqV7LGJbYCeiAcAx7cmnuv6KrRDVGyMEylIiBDYwRC+wuT5zAoHAikFPLwFyx/qInx0vNaNcd0oHSJDCXabMwU2lyk+7zFKXKfGRmdXYNRCPzDAIrjxbHVCJXjkx96mJh/MTSB90SsqbAM/jAay5lNBzGSm0/v6IlNxGlWkZlRKhwjtECU9wUDsu6QSXAHLjhqu4A2nKsHpi8+F3d5MEyjLJkQMV9HgaJrjamqKMxgleD5PcGiHCBvjMtMhzLJzzePgO2k7hFHKs5Rg34el/FAJrhjdVRCTZgdDHZOVpRiGlgj7wev60ZJwwuY6K8EmHSKjMW6k34tme4Lz388xStghijKT83gQiiJts1q267ddQ7Z6ZnkwoQS3bCedm6JmA7emrNBkQoR3qgthp5cZap6F8S76ldIhZrBDJLKCgXY1QcyFsUS4x7As4wmefK9GKQvDE+dnUxojS0RBc9zSI9IA4MqHgfPvBg4er/Vlo2EuNWQFGztEpr9xyujZeZiwQ2yf148PJ5VgY4eoPCwDKGyOs4MRPBVkn9PC5jjngR7prpXgh2vdGJdsKk5n5B6P1kAJrtoYN+U9Khohnce3b+tR6I8c1BMXuC40ODOEAPquvutYGHkB7oUjk6kEV6TQZzWnH9gQ2SHuzlRYxyfyxTbG9VOqcZuC0efCZHm6JwklOCuXNBzSYAvee3kXT57fmenHJePspmGWMZeqBO9d0f9qpp6sYAe+UqHfFtn9E2bZ2ar3XBrl1ZoCpLerzyveKTA8AnrxvjB0PYjyw8a4qkVwvoe0YwmsYIQg6OYUwbrIkdN7+qUshGOwq0U6NgkRQccWuP5kNFjVbP2VkMi3nkoZJTh9I1aCIFAzW7fWHUpAa4C5g719pIu1Ri/rNIX3fgq48F79cWERXFNgvlkaPrmbiEcr/5pO5GtbrCc4fTGgHaIkRgkehUpwTk6wUYKvnOnjQ9f2Z06ciZvjCuwQ4UV+ExR9s28eu/6Eol4ay9GDApQfZW9PEBXB9epA3Sw/5laoBh/fHnuu6+rzkj2L/WBaVrDohjlPnOxVqPCcFEQT9WxdfA2P9NfXsAgG8r2w6xGRFu6HZccml/AEVzl+3jw8xdALcGbQWezY9Qay/mfNFmCK4Dvh5Ck2xpVg5wJw7WP648IlppoUEKer1WAVAIdvhp+rrgSXvYP3/ACB0t9XpZu3n7JObELxtBSicdzHsMVCkDMxrq4GE6PYT2sSC8LYRGAzvHymUDk69fCfvnQDr905LviODCwHvgIs5eVHPS3IDmFZoqcJqkTUoekVGB5Gz1NKwff0ecnpzFB0TLFDdKFtDZ7knM/CIthXCseDK7D6oS/65K5+XEM7BBD7gpM3pqeuj0BpS0yjEw+im5opRbBScfPi1CK4uif4nUN9DXz0bLusEACL4LUg3VTT6GWdJmE7upM68OPs3izqzMc03eD3td+uihJslrOzmjuySC67VyF9E0UluCQJxU4EUJaTqdq7NdkTkvGIeSStEJsQm5j+m908GuK1O8d45cb9nO/IIFSCxTSdZREVwfWfSyciqjIKnJEfwArj0WSWQnxqEayLa1dymu3C85znK7xz8FHY/e3x11rDxjggNa0vJM4Ibrjzs0xjnD/ShbDdndpnMosn+H5otayaZ74J8Oq3BqQN/dtNP6CbRJmGg2hQRg0KyHY4cdBMjis5LQ7QJ3ERbYcoisUCZlcc04phm4LR5yJxkzRtYlwUWTbnzYWJR3w4zL8wriQZYsFc2I2Pw5EX4MvfuYtXXr+Pw9OCFR2D3YGvFKzAzR+UsSAlGMhIeYkKnPhmZmSmxVUdlGGIXnPyb9JVBUrw/nWo8+/GjQs/AN/Zgt1NeUDXVAmOIiYTgkfsB2748THl/Ywo2bsyS0SaKYL3BjPsi2tOw/cMAowXvY+f26ISXIVo0leZk0sNS0FGCQZ0pFbF7vluBT+XN+N0H8uSsea4TSqgFkri4mMJcnOC3ZrsEGYFyHS3ZzFLY2TT+cGnL+D5J7S//sSNoyHLjJAGAFg2lNJKcO7I5AUqwd0oritdBMfvo+uH2yczxKONvWaGJxj657h5Bb7tYHTte3Hcu4iOLbASzXoY7JfONW8a0bQ+b9wOAUxawBrHlPczomwR7Ewq4tPw/AAPhz4sAXZniHJcdzbnzLnB7PTjHfOj1+sNp994kuNu86izKzpZBJ99EjB+u5J0K5zATAE2S7GVtETQDlGShEIWe4In36e6hldsl7BDHIXZnjsbdPFybAv7W/q4PTxxYe4zyl7UYXVCT7APO+8GUaUK1BrppBtcM4pgL7RDWLPEo+W8ZvTzlS6WXJVfXI+tICQtW5c/VH1bGkJ87oyPFxMD2W+6cBQ1xk0Ra0oOM+mkb8IKMEOTdvrOzE2868zmnDk3mPM7PTz/xAHObffYFFcVq0TDQZ2eYNsBzlzTneCPfLTyt0cn8grjcmdp+BhTglkElyOlBCtxEAS6ySnpxx3NqNCn6Xf01LihF+Bo6EEw2R9gCuRZhnE0GXOeS94AlO52jzzBXjS8YgJzPpD6z6dOejUnI/7KDRREubroqBqPBkwtmroIlXPkF8Fjo7aTdoiDJ6pvS0OI4/Xi/eR0XVZKyjTGma8V7C9VPcGHoRXiTAutEACL4LXhqYu7q96E9aSMHcKt0RMMAE+9oJe1Zri4VVGC3TmKLVNk2BZaefc/E6mbJNtxECit+CXfA3PxmVcJFhFs9RwcnXr4rZfeQNex8Jlnr44p90fDzVOCgeyBQKWL4MgT7JVojFuEEpzqzs9TgpUPW2ZUgu18Jbhn6c+dBvkF/tiAlf3HgGvPAXuPlB7s00SiQSteUgleg3g0oFxOcMlYv6qe4PstL4LXd48npAyVGg5q8sLJjOoOgF4VT3ANdghaISqQvEkSgRW+x+nmuCgdooa/7XZiGXfkBdEFy7CpRbBjWxM3d+WVYDtSgnOTU5aQDjFph4iLM9dPFOk1e4J7YTrE8ZQieJQsgkWAyx+MRzyvKVmDVqIc9cYXwRWU4JJFcFn7UNQU12cRTMjmYQYc5IWQl8xeXBadCnaIeRqwTKMIi+AKJItgqxPnkqaKYPPe1fG3Tdsc0kWwSY4wSRKbRNr6lfR6TsXqwA+HZeS+BwsalgEgUp+jvNrMxrgAovREu/nSITIi0sQowdM8waFNoLM5x7/ZX5K52uujBJeJSHPHn5tDJ5GXrFSxJcLcSLcxGQJgEUw2naLGON/VhbCVM11pyWROnMohygmewc5gPMFMhqhAsiHFcqJix0957+oalgFMxiEeJopgP1A4HvkQ2czYxHQRXDQ+OiLMb7YCL98LusgiOPSHB2paY1xiot0savSU6EcncGFbghGc3JvpOMav4cVhBcw57TRZBK+LJ7hMY1zJ1QszQhoopwaPrQq0kHb+1qQ9FOUEm8/bzQgJN0VpmQv+PEqwSRxpvELSJJyujr0DAMuObj6SuaRBoOD5CiL15C+nl/OTSvDDMDptq2tvpK+7n1IpqzTGeX4AUX7+Td4CPcHRzVFkh8hqjAtgBS6smSPSpnhI/SE6tgXf6o75Y5NEnuANUoLTdgilVJwO0fTznGXF55a8VcsKN27R4KUSzXF1rlytI5snHxCSJFKCc04sRiGeZUlyAVRJh5inMe7ibh/f965zOL+7nsH4K8Pp6UZKy4EjKe8nxlXgOia4XUi9PybOCIitEJvmBzakC5fSE7DsUAlW7hQleHGeYCt83/0JJTguSD1fxXaIuSLSMopcb4SOLQisDk5HfqbX03hlNykZxvjIXV9FarAKRybnNkg2Cbuj+1MCL7unpMKNmy5o/Xh0dw5BoOAF+qa9rauCtfzWIvKPRESJyPk6Xo+Q2ihjhwCaowRXaGownsNZ7+AfP7+9sQXUwjC+YLsTqWjJIQ7z3JhkcX6nh0++/xJ+4iOPQETnApsLm8kI3rR4NEN6laKSEhyOTc68sAeBzgkWWUgRbAquoCgnWPmwxZrPE5y1fO6P0LEtBFYX375zjC984/bE3874qzdJCQYSCRGuHx2XjVeBDUW+4MpFcPF1pE7r1roy928uIo8C+CSA78y/OYTUTJEdIlKCG1IEL6kxjsyI8QVbTnRxTS45G7WyTn/dhd0eBl07umF5EBa/m5oMYZiwQ1RojDOe217WpDAVvs4CMoIBHTsIJO0QGY1xoWfZmlUJzsuV9V1ABXA6HSix8erbR/j6zYf4xq2jsadFqQlNn6RWkUGiOc4cl+tXBOdZ96oUwSamb/rqiSmC26oCA/Uowf8KwM8DKLlWRcgSKcoJbpgdolepCA4b42pSHUkJjBJs2dF7lWzEWaS/zuR4Hp7qfXnTi2BToBnvdRUl2A8CSF5j3AL9wECWHcL4d329Pg9EnuWZc4LzPMFh3KPTHU+6SYcEbGrxY4rgUzeIRyavi9pdNDq5goUnarAuOGbiBsk1+RstgLl+cxH5NIDXlVIvl3juZ0XkRRF58ebNm/P8WELKU1gEe+PPWzHxMlax6kUleAWYGD2rEylMySbGRb4nB1t6teLWkS50Ik9wfzOLYLO0vdN3YFuAH6DQ4wgAyrJjO0SWF3TBRXBsh0h8MqUGu34AK5oYV2NOcHhTny6CrZQ/fRM9wUA8Hvnh0IumDa6dEpx3rarQGNeJGuNKFsFOe4WUwr+miPwugMsZX/oFAP8UwA+X+UFKqc8B+BwAPPfcc1SNyXJYUzuE6xUfIiaVoC7/KSmBE9shjMqY9AQPvcUpbJf2enjldeCt+7oIPgov8puqBJ/b7uLpy7u4uNvDi9++g5NRANdXKFrBd32FAA4cy4cFHxNaT1RMLKY4mlCCAV24BF7Y9NSB6ytI4IfDMmZRgnPOa6ES3O32gYRInCyG/LAZytrAZiiTf/7HN+5PfK7xFI1OrnDzFq2eFBTB8WCfNfkbLYDCv6ZS6oWsz4vIBwE8AeDlsAv6GoAvi8jzSqm3at1KQmbFLri7bpgdomNbsEQnDviBmtrVbAplKsFLpDPQj3Y39gQn7BAPQqvCIgrT8zs9OJbg/omL+ycuRl4Ax5L1UboqIiL4rusHAICXb9zDCQIMPT9SiPMYej4Cy4FjBfq4Tx/bC8wIBmJ7UhCkimAgKmS8IIClPNhWZ0ZPcHjT7g2118EoveHgn24vvwgeLfBGbdVk7RuD7pr8nkWjk2dojPOKPMEbvC+UZeazgFLqFQAXzf9F5FsAnlNK3aphuwiph6JxlA1LhwD0CWzoBRh5Qe4FXykVRXPNMiyDzMjZd+mItAtPo+eHnmAvWQSH05cWMILUsgQX9np4894pvn5TNzptajJEmiqpKSMvgBIHjuVmH/fL8gSPFcHjBY7rK10ES3dGO4Slz1n+SP8zKxSevqnv9PrAw/jpyRi/aFrcuiikFTi/00XHFlzdH+DawQBv3T/FtYOtVW9WOYquVRU8wfE0y7LpEO29hrTjDEraS1IxycIowbME1i+IrhMWwX6AAbJPeMmmuDryaElJOn3g2nMAgH6oACftEKZpbXdBPt3Le31dBL9jiuDNK2SyqJKaMvQCBGLDsayCInhR6RA5dgggUqG9MTvEjOcep6fPX94wLoLD81m3Oxh7alIJXqRlZ9Xs9jv4qe+6Fp0Tr5/bXvEWVaAwIq38CoZjlRuWQSW4xolxSqnHqQKTxuF0dTNT4AHDo8mvN8wOAZS74MdervaevFaN+dsPvQBKKQSBirJ7F1UEXzmjG57MxW1RP6dpVCmCR14AZdlaDVtFESzT7RCuHwBKwREfMs92mBv8ZAZ6aIewOj185tmrkZ0kuSy+dqkJFVlbUaCwMa56RFpZO0RbRyYDHJtM2sBAXwhwcnfya+bE0ig7RPFSlsd4tJVjWTI25vpo5CFQWp11FnRzsr/Vxd4gvgi2xQ4RRQeWsENoJbijbUJZBcWi7RBTlWAvmhZnSfj5WYu2yAKRWOUK7RBwetjuOdG+klSCjWVnUxsq1xa7SAmu0BhnItIK7BDmZrrNjXEsgsnmM60Iblg6BADYVnFTAyf9NIN+Ymrc4YkuuBbhB07yeGKJd7vbjkJmK/w9bx/lTH5MoD3B4Y1IVkGhwsJgwRFpeZ5gN2qKm3FanCEqgk/jz4VKsDmfmfNDclk8tuw0Z/WLoEJOcAkl2CqpBIdRnJ0WR6TxCko2n1JFcHMuCE7WRTQF49GagWkuOvV8HJ6ETXGDxRam18/FjT5tsUM8dlb/zjfuHhdaIka+ToewrQI7xKImxhk7RI4nOPIDC+YrxO1xHzCAMSUYADrmhjqhCC5rPyUVmRbn6ScsPCVWDowS7Bc1xnFYBotg0gKmFsHNS4cwRbA3pQhmPFozSCrBD5aksO32O3jXhW1c2ustXHVuCts9B5fP9OAHwLdvP5z63KFrGuOKPMGLskPoxzEVLuUJtucZlGFwMpp+IyVYF8FOhjfU7Kdt2XfWhmmNcRX3WfO+jwqV4NAO0WJPMG8FyeYz2NePp/f1GCcrccBHRXBzLgjmBDZNCTZeL8dq78mrCSSV4HuhHcKMN14k3/3kuYX/jKbx5PkdvHV/iG/dPsa7L+3mPm/ohxFpeXaIBQ/LmK4E6yLYClytVM9z821neYJNEaz3QXMuMZ7gU9eH6yt07M3Nl15bpmXaVyyCzQpAWSW4zWJKe39z0h7sDtDb1V7A03vx54NAn1xkTkWmZuyMJcw0pkBmY9xqMUrw8cjH3Yd6KdqMNyb1cn5XF33Ho5zGoRCtBDtTGuMWOywj9gQnPplqjLOC0fxFsBnh7SeV4PD3nbBDKLx9eIpX39YJOXtLuFEjFcmytxgqJppENz9TJo8qpWiHAJVg0hb6+8Dwgf63dVZ/roEZwUDCDjFlKcsUwda6xgFtCEZNe+3OMQIF7G91Wr20uEiigRkFnuAT10NfbP38rCajBdshRASWAIHSMWmWJWONcV6glWBL5i2CjR0iPI8pNWGHsCyBbemC/H989Z3oW9viJV8rstI+DBVv3JKWOqVUZmxcMmveavHAJZ6tSTvohKrJmH+ueckQQKwkTfME+5wW1wgu7en9ysROndtu1r60SXSipX19Yc8iCBRORgECy9FLvCvICQbimLToGI6U4ACur2AbJdgUPrMQKYfhOc13dSFsd8YsX1mWqd1es278CQqK4Go3biJS2FtiEobanBEMsAgmbSF9wQAa6QcGyqZD6K/ZLIJXyplBB2e34/3HLNmT+hGRqBDOyws+CQdBdLsdncOb1Wm/YCUYyPAFp+0QyqvBDpFqjEupwIZORpFzfpc3a40j6xplmGGfzWqKTOL57CsBWASTtpB1lx00LxkCSCrB0zzBwdhzyep47Gyc23t+h0XwIimaHHc80kVwr2f8stOK4MUpwRNZwckiOAhgBSNdpNfZGOdlxz12EueIK2f6eOF9F3HlzPhYZdIAbAeQ0MLjp1YwZthniwZmUEjRsAgm7cA0kYwFyzfTDmE6dad7gvUj7RCr5/q5LVgCDLoW9ui1XChm6dbNOTZOwiK43w2P6SxPsBmWsaCcYCC2Q8RKcPizhg+Ak7uwg5H2BM9jh0g3xpnH1GsmpxfuDRxcDC08pIFE72mqOW4GJbhoYAYtdRqesUk7yJquNDoe/1pDyJw4lcKjEtwYtnsOfuh9l9CxJbMBhdRHp6A57mGYHNHv94CHyPYELyEb3NghJpTgo7dx5va38MAdwBrMuQ1m4pzvahXYG58WZ0gmyAw6vOQ3GqcLuMf6OtWNh+LMkmjiRGJKgRLc8oQhHhGkHURKcOIO++FN/bjVrMzVMsMygkgJ5mJOE7hAL/BSKG2H6JoiOGv61uKnRBrxdaIIBqACHz33LizZnr8Qt3u6CPaHE/Fohk7iHLHVZTZwo8mLSZvDE+zmXEd8n0owQDsEaQtRE0lCCT6+pR+3Lyx/e6YQK8H5nmCjBLMGJm0iUoLzGuPCInjQM3aIaUrw4opgE13oGztE4mcFCoBSevqtM2cRnIxJy2uMSyh9Wz0WwY0mawogMKMdIhyYkdcYx9VEACyCSVtwUhFpvqsnyIkV5wY3hGgZq1REGg9h0h6KlWBdLAwGxluZFZG2BDuE8QSbzdw6B1x4GugMosLYmjcdAgCcsMHt+Fa8yuWk7RBJJZiLv42mUAmu0hg3PUnF+NXbfg1p929P2kMyfkYp4PiOfhwcLLRLfBaqRKS1/PxFWka3SAl2jRIcHu+ZSvDih+SYxrhICRYBrn8fcOmZKOPYAiZU28qce5d+fPOPtZc04zWTy90DjkpuNmmxxjCDJ9isAORdR5gOoeEllLQDy9Kqi1L6IthQPzAQn5TyOuABPRQA4F08aRfdKB1isghWSkWe4EE/LCbSRbDv6XOA5Sz0DjLKCU4XIJ0tRDZhy9axWPNw9klgsA+MjoDbX9OfSynByRWlthc8jadGO4Rt5R8rQJwaQU8wIW0hmRBx9Lb+uGF+YCCpBE/zBPMunrSPaaOTT90ASukYNduOc3mRnC63hKY4YMpqTncHKvycdGpophQBLn9o/HMpJbhozDRpEHkDM2ZYvTBKcJ6tzuc1BACLYNImzFLT8R3g/mvaD3zmkdVuUwZxYxxyx8My45G0ETP9LMsOcRpaIfodWxeHiQEVEUsqgiXdGGfoDGC23Jq3Kc6wlzqHpXzGAyZCrA95SvDpPf3YP1P+paySEWktv4bQJU/agymC33xZq0NnHwe621O/ZRWYue9eoOAFaqy728C7eNJGpinBpjA2AzVgOboA9t246I2WlResBNs5dojudtSQVIsSDACdvu5tOLkb/vDxIvj9V/Yw8gI8cb555zqSIqsxTindxA1UK4Lt6bY6CikaKsGkPZiLg7lYXHxmddtSQNHADBbBpI0kPcFphWvoBmPPmSh8gaVNiZyISIu+YMNFN/ywxmzpvavxx6nX7ToWnn/iLLOs14GsxrjhoW6M6+5UitQzEWle7thkRqQBLIJJm3AS40K3LwA7zfMDG5wCP5fHu3jSQowSfHji4ddevIHv3D6Ovjb0wkEZSSUYSBXBi88IBqbfxI5sHWtm1aUEA8Du5fjjhk3AJBXIskOc3NOPg/1qL2WuIYVKcLvLwHb/9qRdJC8OF9+3uu0ogR3NfZ+8izcnL0vAMb2kVUQqb8grr9+PPh6GFomeiQGbWgQvVgmO0yEmv+Za+mbcrrMI3rkU/uCO9kOT9SSrMc6sXPb3K71UbIfg2ORp0BNM2oM5wXS2gIMnVrstBURNDRlKEpexSFtJ7/N7g/gSZopgoxavsjHOiGtpO0QQKLjWAAMAVp2KrdMDPvhTgLAJbq1xujq33neB00Ogvxc3xVVUgnu23hfyMrU5NllDJZi0hzPXdAPJox9r/JSJaQMzjLrEIpi0neTxMYqUYOMJDotgo/4CiWlxq7FD+ErhpHdBf337fL0/tLcLdLfqfU2yfM4+qR/f/op+NHaIikqwOQ7MKPE0TIfQNLsSIKROejvAMz8en2QajD3FE0wlmBBNMiXCeIKnK8FhEbzgdIjIDpFSgv1A4Wj7MXznsZ8EDq4vdBvImnLpA/rx9qvA8ChOhqiqBDsWLNHpEFliCtMhNCyCCWkgkRKc0dTAhgbSZl5430U8dXEHgF7qfTj08PbhacITbIpgkw6RUMKW5Am2rOympMjP7yy2CCdrzGAfOPOo3m/fegVQgVb5K65eiEh0LJgM7SQUUzT0BBPSQJwp8TZxPNpSN4mQRnBxr4/dfgdfe+cIIy/AH37jNt4+jBuJek66MS5hh1iSJ9gowelhN8YjbLW88CAF7F3VA53ufF3/f+vcTC8z6Ng4GQU4dX1s98bLPYopmnb/9oQ0lGkRaXERzMOXtBOTEjHyAhyeumNfa1JEWvr4ZTMSKcV2GN9p9tetszO9jElKOclQgpk1r+FVlJAGYucspwLMCCbEtvRUxUABJ6Px1ZLIExw1xiWK4GC5doh0OkSkBDPGjExj65xOiTAMZiuC++GqyKmbv6LY9usIi2BCGsi0dAjewRMymRkMAB1bYqvBtIi0ZTXGpZVgFh6kDJY1XvjOaofomiJ4XAkOAoVA6UjptltzWAQT0kDi5dRpnuB2n7xIu8kqgqNBGUCiMS7pCV6OHSLKCc4pgnnskkKMJcLpzxx9189pjGM8WszcRbCI/H0R+XMR+YqI/FIdG0VI2+nY04Zl8ARGSC9LCU4eE2Y5eQUT40yzEYtgMjM7F/XjHHnSeXYIrkjEzJUOISI/COAzAD6klBqKyMV6NouQdmN8jckcVAMvpIRkK8HD5PFi1F5/+RPjchvjeOySshw8Djz2PTopYkaMHSLZGDfyAtw70ccB98P5I9J+BsA/V0oNAUAp9c78m0QIMRd4MwAgCS+khCQa4BKMLfumPcGBrzNXLXu86WgB5Hn6uYpDSiMCXHzfXC8RK8HxcfF/Xr0ZRQq2PR4NmN8O8R4Af0lEviAivy8iH8t7ooh8VkReFJEXb968OeePJWSzSUZApeFSFiHZSvBYFmrkCQ6LYC/MEl6wFQLIV4LNBDkWwWQZ9LuTnuB7x7FHnvthCSVYRH4XwOWML/1C+P0HAL4HwMcA/JqIPKnSCeEAlFKfA/A5AHjuuecmjY6EkIhepARnFMG8kBIyVgR/5LF93D4a4QOP7MVPiDzB4UXfPdGPncHCty1WgrO9mDx2yTLoOfbY6GTB+DWFQkqJIlgp9ULe10TkZwD8Rlj0flFEAgDnAVDqJWQOutOKYI67JCSeDAfgwm4P77uyN/6EyA4RqmDusX50llAE26YxTk+NExm3R9jMCSZLYtC18XDo4+Ub9/D0pd2xr9k298N57RC/CeATACAi7wHQBXBrztckpPV0bQsielhGOmvU49QpQsbSIQadDI+vsT2YZjjvVD8uQQkGsn3BVILJsnnm6h5EgD978wG+8sbh2Nd4DZm/CP4VAE+KyJ8A+FUAfyvLCkEIqYaIxAkRft6SKpsaSHvpFhXBTk83F3lDIAhiJbgzW+ZqVbJ8wWyMI8vmqYu7+PC1fQDAG/dOxr7GFYk50yGUUiMAP13TthBCEnQdC0MvwNAL0E9c5CNPME9gpMWYm8SeY2VPvRLRgwbcE60CL9ETDACOLRh640qwaYyjAkeWyZkt3SR6PBpPG8qy27UNSkmENJS8mLRITaKfi7SY3b6D7Z6Nq/tTilqnrx/HiuD+4jcOOUpwaGVq+6haslx2etl659HQy/x8m5g3J5gQsiB6OTFpwzDuJmtiFiFtwbEtfPrDV6Oms0w6A+Dkri6AoyJ4OXaILE9wwFUcsgK2u9m52NwNqQQT0ljysoLNktZWzomNkLYwtQAGUkrw8fjnFozx7HuJmDR6gskqcGwLg25c7r33yi7O7XTxPU+eW+FWNQMqwYQ0lKys4CBQOHUDiMTTgAghOZiCtylKMItgsiJ2eh2cjPTAmGv7A3z0sYMVb1EzoBJMSEMxOahJJdjMgO93cpqBCCExpglu+EBPjrMcwFn8xDgg4Qn2J9Mh2BhHls12LxZN+lxFjGARTEhDiewQiYg0Y4UYdLiIQ0ghRgk+uasfl5QMAUzPCeYNLFk2yeY4riLGsAgmpKGYCKihm1CC6QcmpDwmCeLkTvj/5RXBWekQjEgjq8IUwY4lYxnbbYd/CUIaSq9jlOA4Iu3Y1ZE2LIIJKYEZkey74f+X0xQH6JxgADh1fXzr1kN4fgA3XNWhEkyWjSmCzXWFaLimSkhDiSbGeRl2CBbBhBSTzgTu7iztR1thcsWfvH4fgQKee/wAp66xM/H4Jcvl7HYXF3Z7uHJmeTeC6wCLYEIaSjcjHeJ0xIsoIaVxUvaHvSvL+9FhRJpxQ7x9eAo/0Md1x6YaR5aLY1v45PsvrXozGgePREIaikmHSHqC44xg3r8SUoidOk52ry7vR6csD+8c6niqvMEFhJDlwyKYkIbSdSw4lsALVGSJOHZphyBkJgYHk0XxAnFSY83Nis52zghbQsjyYRFMSIMxeY4mH/hkxMY4Qmbi4PpSf1zeQIxkXishZLXwlpSQBjPo2Dg69TB0fZw6FvxAK0z0FBJSkvf8CHD/BnD5Q0v9sXkxaLQyEdIceDQS0mBMA9yJ68MJC98dLqcSUp69q/rfkslVglkEE9IYeDQS0mD6YabjietHkUu0QhDSfEw6RBraIQhpDiyCCWkwfaMEj+KBGVSCCWk++Z5gHr+ENAUejYQ0mEGiMc6MXOVFlJDmk+UJtq34xpYQsnrYXUNIgzGe4KEb4OFQq8H0FBLSfOxERFovHHzDpjhCmgWPSEIaTLIxzlxS6SkkpPkkleBrBwMcDT1cO9ha4RYRQtKwCCakwSQ9wbRDELI+JD3B2z0H3/3kuRVuDSEkC15NCWkw/Y4FkXjalGMJPYWErAHJdAhjhyCENAsemYQ0GBGJYtIAYItWCELWgqQS3GURTEgj4ZFJSMMZJJRfWiEIWT8cTngkpJHwyCSk4Vza60cf7w86K9wSQsgs5I1QJoSsFspKhDScjzx2gHdd3MGDUw8Xd3ur3hxCSEku7fVw+2iEs9vdVW8KISQDFsGErAF7/Q72+lSBCVknPvHeiwhU/vQ4QshqYRFMCCGELAARgc36l5DGQk8wIYQQQghpHSyCCSGEEEJI62ARTAghhBBCWsdcRbCIPCsifygiL4nIiyLyfF0bRgghhBBCyKKYVwn+JQC/qJR6FsA/C/9PCCGEEEJIo5m3CFYA9sKPzwB4Y87XI4QQQgghZOHMG5H2cwB+W0T+BXRB/X1zbxEhhBBCCCELprAIFpHfBXA540u/AOCHAPwDpdSvi8hfA/DLAF7IeZ3PAvhs+N8jEfnz2TZ5LTgP4NaqN4LMBN+79Ybv33rD92994Xu33mz6+3c965OilJr5FUXkPoB9pZQSEQFwXym1V/R9m46IvKiUem7V20Gqw/duveH7t97w/Vtf+N6tN219/+b1BL8B4OPhx58A8Oqcr0cIIYQQQsjCmdcT/HcA/BsRcQCcIrY7EEIIIYQQ0ljmKoKVUp8H8F01bcsm8blVbwCZGb536w3fv/WG79/6wvduvWnl+zeXJ5gQQgghhJB1hGOTCSGEEEJI62ARXCMi8qMi8uci8jUR+cer3h5SHhH5FRF5R0T+ZNXbQqojIo+KyO+JyFdF5Csi8rOr3iZSDhHpi8gXReTl8L37xVVvE6mGiNgi8v9E5L+seltINUTkWyLyioi8JCIvrnp7lg3tEDUhIjaAvwDwSQA3APwRgL+hlPrTlW4YKYWI/ACAIwD/Tin1gVVvD6mGiFwBcEUp9WUR2QXwJQA/zuOv+YTxmttKqSMR6QD4PICfVUr94Yo3jZRERP4hgOcA7CmlPrXq7SHlEZFvAXhOKbXJGcG5UAmuj+cBfE0p9Q2l1AjArwL4zIq3iZREKfW/AdxZ9XaQ2VBKvamU+nL48QMAXwXwyGq3ipRBaY7C/3bCf1Rn1gQRuQbgrwD4t6veFkKqwiK4Ph4B8Fri/zfAizAhS0dEHgfwEQBfWPGmkJKEy+kvAXgHwO8opfjerQ//GsDPAwhWvB1kNhSA/y4iXwon+7YKFsH1IRmfo5pByBIRkR0Avw7g55RSh6veHlIOpZSvlHoWwDUAz4sILUlrgIh8CsA7SqkvrXpbyMx8v1LqowD+MoC/G1oDWwOL4Pq4AeDRxP+vQU/UI4QsgdBP+usA/oNS6jdWvT2kOkqpewD+F4AfXe2WkJJ8P4BPh77SXwXwCRH596vdJFIFpdQb4eM7AP4ztLWzNbAIro8/AvBuEXlCRLoA/jqA31rxNhHSCsLmql8G8FWl1L9c9faQ8ojIBRHZDz8eAHgBwJ+tdKNIKZRS/0QpdU0p9Tj0Ne9/KqV+esWbRUoiItthIzFEZBvADwNoVUISi+CaUEp5AP4egN+Gbsr5NaXUV1a7VaQsIvIfAfwBgKdF5IaI/O1VbxOpxPcD+JvQStRL4b8fW/VGkVJcAfB7IvLH0GLC7yilGLVFyOK5BODzIvIygC8C+K9Kqf+24m1aKoxII4QQQgghrYNKMCGEEEIIaR0sggkhhBBCSOtgEUwIIYQQQloHi2BCCCGEENI6WAQTQgghhJDWwSKYEEIIIYS0DhbBhBBCCCGkdbAIJoQQQgghreP/A4EW4xwmNmnOAAAAAElFTkSuQmCC\n", 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" ] @@ -198,14 +224,15 @@ } ], "source": [ - "plot(model=gpr, kernel=kernel, n_prior_samples=2)" + "plot(model=gpr, kernel=kernel, n_prior_samples=2)\n", + "_ = plt.ylim((-8, 8))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "For example, if we make `variance` and `noise` smaller we will see function samples with smaller vertical amplitude:" + "For example, if we keep the same `variance` and `noise` and increase the `lengthscale`, we will see smoother function samples." ] }, { @@ -215,7 +242,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -227,10 +254,46 @@ } ], "source": [ - "kernel2 = gp.kernels.RBF(input_dim=1, variance=torch.tensor(0.1),\n", - " lengthscale=torch.tensor(10.))\n", + "kernel2 = gp.kernels.RBF(\n", + " input_dim=1, variance=torch.tensor(6.0), lengthscale=torch.tensor(1)\n", + ")\n", "gpr2 = gp.models.GPRegression(X, y, kernel2, noise=torch.tensor(0.1))\n", - "plot(model=gpr2, kernel=kernel2, n_prior_samples=2)" + "plot(model=gpr2, kernel=kernel2, n_prior_samples=2)\n", + "_ = plt.ylim((-8, 8))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now, if we make `variance` and `noise` smaller we will see function samples with smaller vertical amplitude." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "kernel3 = gp.kernels.RBF(\n", + " input_dim=1, variance=torch.tensor(1.0), lengthscale=torch.tensor(1)\n", + ")\n", + "gpr3 = gp.models.GPRegression(X, y, kernel3, noise=torch.tensor(0.01))\n", + "plot(model=gpr3, kernel=kernel3, n_prior_samples=2)\n", + "_ = plt.ylim((-8, 8))" ] }, { @@ -244,15 +307,21 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "optimizer = torch.optim.Adam(gpr.parameters(), lr=0.005)\n", "loss_fn = pyro.infer.Trace_ELBO().differentiable_loss\n", "losses = []\n", - "num_steps = 2500 if not smoke_test else 2\n", - "for i in range(num_steps): \n", + "variances = []\n", + "lengthscales = []\n", + "noises = []\n", + "num_steps = 2000 if not smoke_test else 2\n", + "for i in range(num_steps):\n", + " variances.append(gpr.kernel.variance.item())\n", + " noises.append(gpr.noise.item())\n", + " lengthscales.append(gpr.kernel.lengthscale.item())\n", " optimizer.zero_grad()\n", " loss = loss_fn(gpr.model, gpr.guide)\n", " loss.backward()\n", @@ -262,12 +331,12 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 9, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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PaeCp9Xs40qFz+kUkPxT8Ibtu7gSOdKRYsaEp7FJEJCIU/CE7f+oYGqor+Le1au4RkfxQ8IcsFjOunTue595q5sCRjrDLEZEIUPAXgOvmjqcz5Tyxbk/YpYhIBCj4C8Cs8SOZVlvFo2t2hl2KiESAgr8AmBnXz53Aq+/sZ8/Bo2GXIyIlTsFfIK6bNx53eKxRB3lFJLcU/AViak0VcyZW62IuEck5BX8BuW7ueN7ceZBtzYfCLkVESpiCv4BcO3c8ZrBM5/SLSA4p+AtI3cgKLpg6lmVrduGu+9yISG4o+AvM9fPGs+2Dw6zf1XLiiUVEToKCv8BcObuBZNx4ePWOsEsRkRKl4C8w1ZVJls5u4Hdv7OBwu3rsFJGhp+AvQF9cNIXWo138Xnv9IpIDOQt+M7vPzPaa2bqscd8zs51mtiZ4XJWr5Rez+ZNGMXdiNb98aTvptA7yisjQyuUe//3A0l7G/8Td5wWPx3O4/KJlZnzpwqlsaz7M8g3quE1EhlbOgt/dnwf25+rzS93V5zQwraaK//H0Fu31i8iQCqON/xtm1hg0BY3uayIzu83MVpnZqubm5nzWVxAS8Rh/s/gMNu1p5an12usXkaGT7+D/OXA6MA/YDdzV14Tufo+7L3D3BbW1tXkqr7BcO2c802qquHul9vpFZOjkNfjdvcndU+6eBn4BLMzn8otNIh7jm4una69fRIZUXoPfzBqyXt4IrOtrWsm4dq72+kVkaOXydM5fAS8DZ5nZDjP7MvBDM3vTzBqBS4Fv52r5pSIes2N7/U9qr19EhkAiVx/s7p/vZfS9uVpeKbt27nh++sct3P30FpbOqicWs7BLEpEipit3i0A8Znxr8XQ2N2mvX0ROnYK/SFwzZzzTaqu4++kt6rJZRE6Jgr9IxGPG1y45g81Nrby0dV/Y5YhIEVPwF5Fr5jQwpqqMB17aHnYpIlLEFPxFpCIZ5+bzJvH0xiZ2HmgLuxwRKVIK/iJzy/mTAfj1a++FXImIFCsFf5GZOLqSRWfU8K9rduogr4icFAV/Ebph3gTe39/G6vc+DLsUESlCCv4i9OnZ9VQkYzzy551hlyIiRUjBX4SGlye4fEYdj7+5h5T67xGRQVLwF6krZzew/3AHb7yr5h4RGRwFf5G6+KxayuIxlqsLBxEZJAV/kRpenmDRGWNZvqFJZ/eIyKAo+IvYFTPreW//ETY3tYZdiogUEQV/Ebt85jjMYPn6prBLEZEiouAvYuNGVDB34ihWblTwi8jAKfiL3OUzxrF2x0H2thwNuxQRKRIK/iK3eEYdAM9s3htyJSJSLBT8Re7s+hFMGDWMpzcq+EVkYBT8Rc7MWDxjHC9s+YCjnamwyxGRIqDgLwGXnT2Ots4UL+vOXCIyAAr+EnDBtLFUlsV5Wmf3iMgAKPhLQEUyzkXTa/jjpr26ildETkjBXyIWz6hj98GjbNjdEnYpIlLgFPwl4rKzM1fxrtTZPSJyAgr+ElEzvJx5k3QVr4icmIK/hCw+W1fxisiJ5Sz4zew+M9trZuuyxo0xsxVmtiV4Hp2r5UdR91W8f9yk5h4R6Vsu9/jvB5b2GHcHsNLdpwMrg9cyRLqv4l2p4BeRfuQs+N39eWB/j9HXAw8Eww8AN+Rq+VGkq3hFZCDy3cZf5+67AYLncX1NaGa3mdkqM1vV3NyctwKL3eIZdbqKV0T6VbAHd939Hndf4O4Lamtrwy6naJw/dYyu4hWRfuU7+JvMrAEgeFZj9BDTVbwiciL5Dv5lwK3B8K3Ao3lefiR0X8X75s6DYZciIgUol6dz/gp4GTjLzHaY2ZeBO4ErzGwLcEXwWobYp2fWU5aI8fvVO8MuRUQKUCJXH+zun+/jrcW5WqZkVFcmuWJGHcvW7uLvr5pBWaJgD+WISAiUCCXqLz8xgf2HO3hWt2QUkR4U/CXqoum11Awv47dv7Ai7FBEpMAr+EpWMx7j5vEk8vbGJ9/YdCbscESkgCv4S9oULphA344GXt4ddiogUEAV/CauvruDqOQ385vX3OXikM+xyRKRAKPhL3FcvPp3DHV38/LmtYZciIgVCwV/iZjSM5MZ5E/jli++w80Bb2OWISAFQ8EfAd5acScyMOx5uVDcOIqLgj4KJoyv57tUz+NOWD/jZH98OuxwRCVnOrtyVwnLL+ZN5490PuWvFW8RixtcuOR0zC7ssEQmBgj8izIwffmYOqbTzj09tZsWGJr64aAqfPH0stcPLtREQiRAFf4Qk4zHu/tw8Lpxew91Pb+Fbv14DwIiKBONGlDO6soxRlWWMrkwyuqqM6mHJY49RlcHzsMz4ERUJYjFtLESKkYI/YsyMzy6YxGfOnciaHQdY+/4B3vngMB8caufDw53s+PAI63Z2cqCtg6Od6X4+B0ZWfLRB6GsDUV358fEVyZh+YYiESMEfUbGYce7k0Zw7eXSf0xztTNHS1snBtk4OtHVy8Ejw3NbJwSMdH41v6+TAkU52fth27HUq3ffZQ2Xx2EcbhO6NxnEbjASjKntsOIYlGTksSTKu8xFETpWCX/pUkYxTkYwzbmTFoOZzdw61dx3bILT02EAcbOvkYFvHsdd7Wo6yaU8rLW2dtLZ39fvZw8sTvf7CqO7xS+O4XyKVSUaUJ/QrQySg4JchZ2aMqEgyoiLJxL5/UPSqK5Wm5WgXB7J+UbRkbTB6bjje3nvo2HQdXX03TcVjxsiKzC+JkVm/ND7eVPXxDUdFMn6Ka0SksCj4paAk4jHGVJUxpqps0PMe7UxlbSD62HC0ffT+u/sOH3u/n5YpyhOx445RjOx5PCNrI5HZ4CWoKk8wvCxBVXmchJqnpMAo+KVkVCTj1FfHqa8eXNNUOu20tnf12EB0HN9UlTV+54E2Nuw6yMG2Tg53pAZQV4zh5UmGl8czG4TuR/cGInhUlScYETxXlcc/2oBkva9jHDIUFPwSebGYHdtjnzRmcPN2dKVpOfrRhqH1aCeH21Mcau/kUHuKQ0e7ONzRxaH2rsxwexet7V3saTnK4eZgfHtXv2dQZUvGjYpknMqyOMOScYaVJRiWjFFZlqAiGWdYWZzK4HlY9zTJj4Yry+JUBMPliRjliTjlyRjliRhl3a8Tmdc6JlK6FPwip6AsEaNmeDk1w8tP6XO6UunMBqMjs4E41J7ZSHRvGLo3Gm2dKY50pDgaPLd1pmgLnvcf7jj2+khHZmPSkRrYBqXXf1s8swEoT8Yyw8HGoizYMJQn4pQlMu8l4kYyHiMRMxLxGMm4kYjFSCaMZKz397tfJ4P5E7FgvmB8zIx4zIjHODYcs37Gx4y4GbEYxLvHd39Oj/FR36gp+EUKQCIeo7oyc5rrUOpKpY/bOHRvONo6UnR0pWnvStHelf7o0ZmiI5WmvTPzuuc0Hd3DnZnP/fBIB52pNF0ppzMdPKecrnSazq40nWmnK5Xu9xhKmMwyGw8Lhg0j+C8zPhi2YBqs9/FmPYbpMY19fDzBe8HHkj2Q/f5/v/EcFk4d5E/RE1Dwi5SwRDzGiHiMERVDu0EZrHT6ow1D90bi2AYjlaYr7ce9TqWdlDvpNMGzk0o7ac88UicxPvOceTiAZ57dM+91DztO8B/p9PHjuzu3TbsfN+7YNP2N56PnYPGZ52Ov/bjX3QNV5UN/VpmCX0RyLhYzymNxypU4BUGnCIiIRIyCX0QkYhT8IiIRE0qLm5ltB1qBFNDl7gvCqENEJIrCPNRyqbt/EOLyRUQiSU09IiIRE1bwO7DczN4ws9t6m8DMbjOzVWa2qrm5Oc/liYiUrrCCf5G7nwtcCXzdzP6i5wTufo+7L3D3BbW1tfmvUESkRFn31WKhFWD2PeCQu/+on2magXdPchE1QCEeS1Bdg6O6BqdQ64LCra0U6zrN3T+255z3g7tmVgXE3L01GF4C/Lf+5umt8EEsb1UhnjWkugZHdQ1OodYFhVtblOoK46yeOuCRoHOiBPCQuz8ZQh0iIpGU9+B3923A3HwvV0REMqJwOuc9YRfQB9U1OKprcAq1Lijc2iJTV+gHd0VEJL+isMcvIiJZFPwiIhFT0sFvZkvNbLOZvW1md+RxuZPM7Bkz22hm683sW8H475nZTjNbEzyuyprn74I6N5vZp3Nc33YzezOoYVUwboyZrTCzLcHz6HzWZmZnZa2XNWbWYma3h7HOzOw+M9trZuuyxg16/ZjZJ4L1/LaZ/dRO8UavfdT1j2a2ycwazewRMxsVjJ9iZm1Z6+2f8lzXoL+3PNX1m6yatpvZmmB8PtdXX/mQv7+xzK3CSu8BxIGtwDSgDFgLzMzTshuAc4PhEcBbwEzge8B/7GX6mUF95cDUoO54DuvbDtT0GPdD4I5g+A7gB2HUlvXd7QFOC2OdAX8BnAusO5X1A7wGfJLMLVSfAK7MQV1LgEQw/IOsuqZkT9fjc/JR16C/t3zU1eP9u4D/GsL66isf8vY3Vsp7/AuBt919m7t3AL8Grs/Hgt19t7uvDoZbgY3AhH5muR74tbu3u/s7wNtk6s+n64EHguEHgBtCrG0xsNXd+7taO2d1ufvzwP5eljfg9WNmDcBId3/ZM/+H/p+seYasLndf7u5dwctXgIn9fUa+6upHqOurW7Bn/FngV/19Ro7q6isf8vY3VsrBPwF4P+v1DvoP35wwsynAfODVYNQ3gp/l92X9lMt3rb11klfn7rsh84cJjAupNoDPcfz/kIWwzga7fiYEw/mqD+BLZPb6uk01sz+b2XNmdlEwLp91DeZ7y/f6ughocvctWePyvr565EPe/sZKOfh7a+vK67mrZjYceBi43d1bgJ8DpwPzgN1kfmpC/ms9YSd5WfJam5mVAdcBvw1GFco660tfdeR7vX0X6AIeDEbtBia7+3zgO8BDZjYyj3UN9nvL9/f5eY7fucj7+uolH/qctI8aTrq2Ug7+HcCkrNcTgV35WriZJcl8qQ+6++8B3L3J3VPungZ+wUdNE3mt1d13Bc97gUeCOpqCn47dP2/3hlEbmY3RandvCmosiHXG4NfPDo5vdslZfWZ2K3ANcEvwk5+gWWBfMPwGmXbhM/NV10l8b/lcXwngJuA3WfXmdX31lg/k8W+slIP/dWC6mU0N9iI/ByzLx4KD9sN7gY3u/uOs8Q1Zk90IdJ9tsAz4nJmVm9lUYDqZgza5qK3KzEZ0D5M5OLguqOHWYLJbgUfzXVvguD2xQlhnWcsb8PoJfqq3mtkFwd/DX2XNM2TMbCnwX4Dr3P1I1vhaM4sHw9OCurblsa5BfW/5qitwObDJ3Y81k+RzffWVD+Tzb+xUjk4X+gO4iswR863Ad/O43AvJ/ORqBNYEj6uAfwHeDMYvAxqy5vluUOdmTvGsgRPUNo3MGQJrgfXd6wUYC6wEtgTPY0KorRLYB1Rnjcv7OiOz4dkNdJLZq/ryyawfYAGZwNsK/IzgSvkhruttMu2/3X9n/xRM+5fB97sWWA1cm+e6Bv295aOuYPz9wFd7TJvP9dVXPuTtb0xdNoiIREwpN/WIiEgvFPwiIhGj4BcRiRgFv4hIxCj4RUQiRsEvkWBmh4LnKWb274b4s/++x+uXhvLzRYaagl+iZgowqODvvrCnH8cFv7t/apA1ieSVgl+i5k7goqDP9W+bWdwyfdq/HnQo9hUAM7sk6DP9ITIXImFm/xp0bLe+u3M7M7sTGBZ83oPBuO5fFxZ89jrL9Jl+c9ZnP2tmv7NMX/oPBldeYmZ3mtmGoJYf5X3tSCQkwi5AJM/uINNP/DUAQYAfdPfzzKwceNHMlgfTLgRme6YrXIAvuft+MxsGvG5mD7v7HWb2DXef18uybiLTSdlcoCaY5/ngvfnALDJ9q7wILDKzDWS6Nzjb3d2Cm6qIDDXt8UvULQH+yjJ3YnqVzGXz04P3XssKfYBvmtlaMv3eT8qari8XAr/yTGdlTcBzwHlZn73DM52YrSHTBNUCHAX+2cxuAo58/CNFTp2CX6LOgL9x93nBY6q7d+/xHz42kdklZDr3+qS7zwX+DFQM4LP70p41nCJzF60uMr8yHiZzQ40nB/HvEBkwBb9ETSuZ2911ewr4D0E3uZjZmUGvpT1VAx+6+xEzOxu4IOu9zu75e3geuDk4jlBL5laAffYgGvTPXu3ujwO3k2kmEhlyauOXqGkEuoImm/uBu8k0s6wODrA20/vt654EvmpmjWR6SHwl6717gEYzW+3ut2SNf4TM/VDXkumN8T+7+55gw9GbEcCjZlZB5tfCt0/qXyhyAuqdU0QkYtTUIyISMQp+EZGIUfCLiESMgl9EJGIU/CIiEaPgFxGJGAW/iEjE/H8yBpyuAmfcsAAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] @@ -279,8 +348,14 @@ } ], "source": [ - "# let's plot the loss curve after 2500 steps of training\n", - "plt.plot(losses);" + "# let's plot the loss curve after 2000 steps of training\n", + "def plot_loss(loss):\n", + " plt.plot(loss)\n", + " plt.xlabel(\"Iterations\")\n", + " _ = plt.ylabel(\"Loss\") # supress output text\n", + "\n", + "\n", + "plot_loss(losses)" ] }, { @@ -292,12 +367,12 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 10, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "
" ] @@ -323,16 +398,16 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "0.20291335880756378" + "0.21701954305171967" ] }, - "execution_count": 10, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" } @@ -343,16 +418,16 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "0.5022152662277222" + "0.513454258441925" ] }, - "execution_count": 11, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } @@ -363,16 +438,16 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "0.04272938147187233" + "0.04248063638806343" ] }, - "execution_count": 12, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } @@ -385,7 +460,44 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "The period of the sinusoid that generated the data is $T = 2\\pi/3 \\approx 2.09$ so learning a lengthscale that's approximiately equal to a quarter period makes sense." + "The period of the sinusoid that generated the data is $T = 2\\pi/3 \\approx 2.09$ so learning a lengthscale that's approximiately equal to a quarter period makes sense. Let us now try to animate and see how our model improves over the training iterations." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "fig, ax = plt.subplots(figsize=(12, 6))\n", + "\n", + "\n", + "def update(iteration):\n", + " pyro.clear_param_store()\n", + " ax.cla()\n", + " kernel_iter = gp.kernels.RBF(\n", + " input_dim=1,\n", + " variance=torch.tensor(variances[iteration]),\n", + " lengthscale=torch.tensor(lengthscales[iteration]),\n", + " )\n", + " gpr_iter = gp.models.GPRegression(\n", + " X, y, kernel_iter, noise=torch.tensor(noises[iteration])\n", + " )\n", + " plot(model=gpr_iter, plot_observed_data=True, plot_predictions=True, ax=ax)\n", + " ax.set_title(f\"Iteration: {iteration}, Loss: {losses[iteration]:0.2f}\")\n", + "\n", + "\n", + "anim = FuncAnimation(fig, update, frames=np.arange(0, num_steps, 30), interval=100)\n", + "plt.close()\n", + "\n", + "anim.save(\"../source/_static/img/gpr-fit.gif\", fps=60)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "![](../source/_static/img/gpr-fit.gif)" ] }, { @@ -404,12 +516,12 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 15, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -423,9 +535,10 @@ "source": [ "# Define the same model as before.\n", "pyro.clear_param_store()\n", - "kernel = gp.kernels.RBF(input_dim=1, variance=torch.tensor(5.),\n", - " lengthscale=torch.tensor(10.))\n", - "gpr = gp.models.GPRegression(X, y, kernel, noise=torch.tensor(1.))\n", + "kernel = gp.kernels.RBF(\n", + " input_dim=1, variance=torch.tensor(5.0), lengthscale=torch.tensor(10.0)\n", + ")\n", + "gpr = gp.models.GPRegression(X, y, kernel, noise=torch.tensor(1.0))\n", "\n", "# note that our priors have support on the positive reals\n", "gpr.kernel.lengthscale = pyro.nn.PyroSample(dist.LogNormal(0.0, 1.0))\n", @@ -434,24 +547,25 @@ "optimizer = torch.optim.Adam(gpr.parameters(), lr=0.005)\n", "loss_fn = pyro.infer.Trace_ELBO().differentiable_loss\n", "losses = []\n", - "num_steps = 2500 if not smoke_test else 2\n", + "num_steps = 2000 if not smoke_test else 2\n", "for i in range(num_steps):\n", " optimizer.zero_grad()\n", " loss = loss_fn(gpr.model, gpr.guide)\n", " loss.backward()\n", " optimizer.step()\n", " losses.append(loss.item())\n", - "plt.plot(losses);" + "\n", + "plot_loss(losses)" ] }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 16, "metadata": {}, "outputs": [ { "data": { - "image/png": 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0ZIrJZTlZ27MtxJZSaY2Kxl5WtwQo9DhMe1CI227FZlH5bF034XiKqaPy5Dkqhp1ESuPTmk4cVovhV37EwJOwLEzPYbVQluNg4QY/saTGwaPyZN6ryGqRRIo5NV10BOOU57pMv0pls6iU5TipaOwlkdL5yth8eY6KYUPXdZY29BCIJSmTlsGsJGFZZASrqlKe42RlU4BkWucweTMWWaq7L85HaztJ61pG9T1aVIXyXBdrWoNous7h4wrkOSqGhbquMFVtoYw970Ds2vAZsyAynqoqlOU6WdsWZH5tN2lte1snhchcTf4I/1zVhlVVKPQ4jC5nj6mKQnmuk6q2EEvq/WjyHBVZLhBN8nltN0WyOT+rSVgWpjP72cepWDB3q9+rWDCX2c8+3v9mnONkXWcf89Z3kUprBlUpxMCqaQ/xQWUH+S4bXmfmXvRTlf4PtWtagyxr9KPrEphFdkqmNebWdGG3qNKnnOUkLAvT2W/KNO6ZcdnmwFyxYC73zLiM/aZMA/qnj5TnOKnrikhgFhlP13VWNQeYt76bEp9j41SdzLbpQ+2q5iCVrUGjyxFiUKxo6qUnktjqHAaRnTJ3+UJkrWnTj+aWmbO4Z8ZlnHL2+bwz+wVumTmLadOP3nwfRVEoy3FQ3x1FUbr56r5FcpKYyDi6rlPR2MuKpgBlOc6s+hlWVYXSHAcL6/x47FYZ/SiySktvhJXNQUbIfPFhQVaWhSlNm340p5x9Pi8/9TCnnH3+VkF5k02Bua4rzPzabumPFBlF13WW1PtZ0dRLeZYF5U2sqkqx186cdZ109cWNLkeIARFNpJlb002h2y6bWIcJCcvClCoWzOWd2S/wo8uv5Z3ZL3yhh3mT/sDsZH1nH4vqeiQwi4ywKSivaQn2j4bL4jdch9WCz2Hjo7Ud9MVTRpcjxJei6zoLNnSjoeOyZ37LlNg9EpaF6WzqUb5l5iwuuPrGzS0ZuwrMVW0h2VAkTE/XdZY19B82UpbrHBY76D2O/o6/OdWdJGWPgchg6zvD1HWHKZQ+5WFFwrIwnapVFVv1KG/qYa5aVbHDP7NpB/6q5iArmwNDVaoQe2xlc4CVzQHKc8x/2MhAynfb6eqLs6yh1+hShNgrgWiShRu6KfU55ZTKYUY2+AnTOfviq77we9OmH73dvuUtqRtXmJc19OKyWZhY6husEoXYK2tbgyxr6KUsx5nVrRc7UprjpLI1QLHXzj7FXqPLEWK3pTWdz9d3YbOo2CyyzjjcyHdcZBWLqlDiczBvfTeNPRGjyxFis7quMPM39FDqc2TlZr7doSoKxV4n82q7CUSSRpcjxG6ragvSEYqTL+0Xw5KEZZF1bBaVIq+dT6o76AjFjC5HCNqDMT6t7qTE68A6zFel7FYVp9XCnHXSvywygz+cYEm9nxJv5p2qKQbG8H7VFlnLYbWQ47TxQWWHrGAJQ/VGEnxQ2U6+247dKi+5ALkuG/5wghVN0r8szC2V1vhsfRduu3XYf9AdzuQ7L7KW227FYVH5oKqdSEJGVomhF0mk+HBtBy6bRcZMbaPU52Rlc5C2gFz9EeZV1R6iJ5wg12UzuhRhIAnLIqvluGwkUxqfVHWSSMklXzF0kmmNTzeOSvM55Y12W6qqUOC2Mbemk1gybXQ5QnyBP5xgab2fEp+0Xwx3EpZF1iv0OOiOJPoHycuhJWII6LrOog09dPclKPTIG+2OuO1WkprG0nq/0aUIsZW0pvN5bXd/+4UqUWm4k58AMSyUeh3UdoZZ0Sw9kmLwVbYGqekIyYrUbijyOFjX2SfTa4SpVLcH6e6LS/uFACQsi2Fi0yl/yxt72dDZZ3Q5Ios1+yMsqvNTmiMHF+wORVEocNuZX9st7RjCFALRJEvqeymW6RdiIwnLYtiwqP0zXueu66KrL250OSILBWNJPq3potBjl0u3e8Bps5DSNJY1SDuGMJam6Szc0I3dosr0C7GZ/CSIYcVuVclx2vhobQfhuEzIEAMnkerf0GdTFZw2mXyxpwo9Dmo6QjIdQxiqrjtMS2+UAo8cPiL+R8KyGHY8jv5T3jdNKhDiy9J1nSX1PfRGk+TJCV97RVUU8lx25tV2yeQaYYhIIsXCuh6KpP1CbEPCshiW8t12esIJFtf1oOsyIUN8Oes7+6hu76NU3mS/FLfdSiSeorI1YHQpYhiqaOgFXcdhlStDYmsSlsWwVexzUN3eR3V7yOhSRAbrCSeYX9tNic8hG/oGQLHXyYqmAL2RhNGliGGkLRBjXWeIAhn1KLZDwrIYtlRFodTnYMGGHjqC0icp9lw8lebT6k48dis22Qw0ICyqgstmYeGGHpmLLoZEMq0xv7abXKcdVT7wiu2QV3cxrFktKnkuGx9XdcqGP7FHdF1ncZ2fSCIlJ/QNsDy3ndZAlPrusNGliGGgqi1EKJ7avJ9FiG1JWBbDnttuBXTmrusiJRv+xG6q7QyzrqNPZrEOkiKPg0V1fpm9LAZVMJakorGXYq9szBU7JmFZCKDA46AjGKeiUU74E7sWiCSZv6GbYq/0KQ8Wh81CUtNY3SKb/cTg0HWdJRv8/TOVZS662An56RBio9IcB6tbgtR1yaVfsWPJtMacdZ04rRbsVnkJHUzFHgdrWoKy2U8MiubeKA3+CPluaaMSOyev9EJspCoKRV4789Z3EYgkjS5HmNTKpgD+SJJcl7zBDjZ14wEvMuJRDLRkWmPhhh4K3Ha5OiR2ScKyEFtwWC04rBbm1HTKwQjiC9oCMVa2BGSe8hDKd9tp7o3R5I8aXYrIIlVtISKJNC67zFQWuyZhWYht5Lps9MaSLKmX1SzxP7Fkmrk1neS7bKiqrEQNpXy3jUX1PXLiphgQoViS5U29FMmmPrGbJCwLsR0l3v4DSzZI/7KgfyPQoroekpq2cXqKGEpuu5VILM26DjlASHx5FQ29WFVFNvWJ3SY/KUJsh6ooFHsdfF7bLZuLBPXdEWo7wxTJ6V6GKfTaWdbQSyQh89DF3msPxtjQ3UeBW1aVxe6TsCzEDtitKk6rhbk1XXL5dxjri6f4vLaLIq/5NgLNfvZxKhbM3er3KhbMZfazjxtU0eCxWVQUBVY1B40uRWSotKazcEMPOQ7zPZeFuUlYFmIncl02AtEkyxpk/vJwpGk6C2q7sSgKDqv5NgLtN2Ua98y4bHNgrlgwl3tmXMZ+U6YZXNngKHQ7qGoL4Q/L1R6x5+q6wvRGEnid0kol9oyEZSF2odjnoLI1SGOP9C8PN+s7+2j2RykwafvFtOlHc8vMWdwz4zL+9Nj93DPjMm6ZOYtp0482urRB0T9KTqWioVc234o9EkumWVzfQ4FH2i/EnpOwLMQuqIpCkcfO3HXdhGIyf3m4CESTLKzrodhnzqC8ybTpR3PK2efz8lMPc8rZ52dtUN4kz2WjsTdCezBudCkig6xtC5LSdFNeIRLmJ2FZiN3gsFmwqgrz1neT1mRFK9tpms782m7sFhWbxVwvk9v2KVcsmMs/XnqGadOP5p3ZL3yhhznbKIpCjsPG4roeNHkuit0QjCVZ1RSUDbpir5nrXUAIE8t32+kIxljdEjC6FDHIqttDtAdi5Jtwx/yWfcoVC+Zyx88vBBR+9NNrNrdkZHtg9jqt+CMJ6rulNUrs2vKGXmxWBYvMRxd7SbrchdgDJT4nFQ29lOU6KfE5jS5HDIJAJMniOj8lJm2/2LJPefykAwCFO37/3Ob2i1tmzqJqVUXWt2Pku+0safAzqsBtutV/YR4doRi1XWFG5Mrrtdh78gojxB6wqAo5Lhtza7qIJdNGlyMGWFrT+by2C6dNxWriALapT3nZgrmc/uOLtwrG06YfzdkXX2VgdUPDabMQTWpyUInYIU3TWVznx+ewyqg48aWY991ACJPyOqzEkxpL6/2yIz/LVLcH6QwlyDNh+8WWKhbM5Z3ZL/Cjy68dFn3KO1LksbOsISAfXMV2NfkjdIXi5LhsRpciMpyEZSH2QpHXTk1HiPruiNGliAESiCRZUtdLsdf8QXnTiLgLrr5x2PQpb09/+4XOmhY5qERsLZXWWFzvN+W+A5F5BqRnWVGU7wCPAhbgGV3Xf7vN7RcADwLNG3/rcV3XnxmIxxZDQ41Fcba1YO/qwN7VgSUWQ0mnQddJeb2kcvJIFBQRGTMOze0xutxBpygKRV4Hn9d2Uei143PKykUm0zKk/QKgalXFVrOUN/Uw726f8uxnH2e/KdO2um/FgrlUrarIyPaNQo+DNS1BJpZ65XkoNqvtDBOOpyjPdRldisgCXzosK4piAZ4Avg00AYsURXlL1/U129x1tq7rmfdKPAwpiTg5KyvIX7qAnBVL8a6rwtVUj6Lt3pHPsbIRhCZPoffQI+g9dDrBgw5Bt2bfXlKH1YJVTTN/fTfH71+KKjutM1Z1e4iOYJwReeZ/Y91eoJ02/ejd3tC3aZrGpsC95Up1JrKoClaLwqrmAEftW2R0OcIEYsk0Sxv8FMqoODFABiLBHAGs03W9FkBRlFeA04Btw7IwMVt3J8UfvU/xR/+mYP4cLLHoVrdrFgvR0WNJFJWSKCwm7XahW6zoioI1FMQWDODoaMPVWI+zrQVnWwvFH78PQCK/gM7jvkP7CafSc9TXwZI9Q+Hz3XZaeqOsbQtywIhco8sReyEQTbKkwW/6w0cGypbTNE45+3zemf1Cxp/6V+CxU9Pex35lOXJCm6CqLUha17FbzX2VSGSOgQjLI4HGLX7dBEzfzv3OUBTl60A1cK2u643b3kFRlMuAywDKR44egNLEziiJBEWf/pcRb7xC4ZwPUNP/2yTTN3Ey/kOnEzj0CEKTDiAybjy6fddhQkmlcDY3kLtiKXlLF1Iwfw7uhg2MfP0vjHz9L0RHjqbprJ/Qcsa5JAuyYxWoxOdgSb2fslyXvFFnGE3TWWjSw0e+NF3H1tOFs7UZSzQCioKuqCSKSjjkkMM3n/r3o8uvzeigDP2nbLrsFpY39PLN/UuMLkcYqC+eYmVzkCKT7z0QmWUgwvL2rj1vOyLgbeCvuq7HFUW5HHgBOO4Lf0jXZwGzAKYcfIiMGRgkjrYWRr/0NCP+MRu7vwfoXznu+vrxdBx3El3HfptEcelefW3daiU6djzRseNpO/VM0HU869ZS8p93KX/zVdxNDUx85F7G//F3NJ57EfUXXpHxodlqUfHYrXy2rovvTCnLvtCVxdZ39tEaiGVE+8WuqNEIhfM+IW/JfPKWLsRbXYklHtvufXVFYZKicOWE/fjbC3+kbux4xn3vrCGueGBtOga7IxijJEdm6g5Xq5p7saoKVlVeh8XAUb7s6CtFUY4C7tB1/cSNv74JQNf1+3ZwfwvQo+v6Tq9ZTzn4EP3Xs/4hBz8MIE9NJWOfe5Ky995ATaWA/hXkltPPoe2UM0gUFQ9uAZpG4WcfMfrlZyma8yEAaZeLuouupP6iK9GcmR1YWgNRDhiRw1fGFhhditgNoViSt5e3kO+2Z+4HHF2nYN4nlL/9N4r/+x7W6NbTWZI5ecTKR5Ly+UAHJZ1CaazH0935hZWS1n0mEDz3AlpPOZNUbt7Q/R0GUCiWxGmz8J0pZTJXdxjqjSR4e3krpTkOVPn+iz104hGT69N9/nHbu20gwrKV/taK4+mfdrEIOE/X9dVb3Kdc1/XWjf//feBGXdeP3NnXlbA8cLxrV7PvY/dv7iHWVZX2E0+l4Sc/JXjQIWDAi4pvVQXjn5xJ8Sf/ASA6YhTVN95F5/EnGVLPQNA0ndZgjO9MKaNUVrZMTdd1PlrbQVdfnIIM3ASkJJOU/utNxj73BL7qys2/HzjoELqP/ia9h04ncNAhpH05X/izs599nMn7H8RXS0rJW7KA/EXzKPjw39g3rkKn3B6azj6fhvN/utdXmIzUEohy3OQSRuW7jS5FDLGPqjroDMalHU7slUENywCKonwXeIT+0XHP6bp+r6IodwGLdV1/S1GU+4DvASmgB7hC1/W1O/uaEpa/PFdDHeMff4Cy995A0XXSThctPziX+vN/SmzUWKPLAyBv8efsd+/N+Kr794O2n3AKa2/9bca2ZkQSKZJpnZOnluO0Zc9GxmxT29nHnJpORuZlWKDSdQo//S+THrgDT916AOLFpTSdfT5tJ/+A6EWNyVgAACAASURBVJhxe/Vl1WiE4o/fZ8Trf6Hw808BSNsdNFxwORsu/XlGjYOMJFLowClTR2CRCTXDRkcoxr9WtVGe45SrCmKvDHpYHgwSlveerbeH8U88xMhXX0RNpdBsdprOuYANl15NsnCQWy32gpJKMXL2C0x45DdYI2HihUVU3jGTruNONLq0vdIRirFPkUfGWJlUOJ7ireUt5DitOKyZ84HG1VjPfvf8iqK5HwEQGbMPdZdeTespZ+zW5tvd5VtVwT5P/56S/74H9I+CrL7hTjpOPHXAHmOwtQaifG1CEeOLvUaXIoaAruv8e3Ub4Xia3CE6rS/b5pULCcvDRzrNyNf+zL6/vx97wI+uqrR+7yxqr7yO2AjzTxdxNjdwwM3XULBoHgD1F1zOumtuRrdl1kEDmq7TGohx3OQSRhdk2MplltN1nU+qO2kLxCjyZkj7ha4z8tUXmfjgnVijEZK+HDZcMYPGcy9Etw/e5ebcZYvY7zc3k7NmBQCtJ/+AqlvuI5Vj/hGJsWSaWCrNadNGZm4/uthtLb1R/rOmnZFDuFF3y/nk284rH8jpMtZgAN/aVXhrKnG0t+HoaMMa7EVJpVHSKTSHk1RuLsncAqKjxhAZuw/hfSYQGzkmY1sajSJheRjIXbKAyff+Gl9Vf6t4z/SjqbrpbsIT9x/wxxrUT9SaxpgXZzHh4XtQUyl6px3Oyt/NIl5a/iWrHlqxZJpwIs2pB5fjtmffgSyZqq4rzCfVnYzIzYxLtbaeLg686erNq8ltJ51G1a/vHbo2pXSaUa++yMSZd2GJRomVjWTVA0/Q+5WdbjkxhbZAjMPG5TO5/It92yJ7aJrOuytbSWs6XsfQvtZuCsgDOa9cjcfIX/gZhXM+pPCzjze3W+2pREEhgYMOpfewI+k65jjCEyZLeN4FCctZzBIKMnHm3Yx67c8ARMtHUnPDnXR8++RBe2IMxSfq3GWLOGjGZTjbW4mVlLH8iRcJHTB1QL72UOkKxxmR6+SYicUZEcyyXSSR4u3lLXjtVhwZ0E/uW1XBwb+4GGdbM4ncfKpuvY/2k043pBZ33XoO/NVV5K5chma1Un3jXTSde6Gp33yTaY1ANMnph4yU/QNZrL47zCdVnYaNf/zTY/dvnld+wdU37t0X0XV8q5cz4u9/pey9N7CFgptvSjuc9E2cTGjyFGIjRhEvKSWZW4Bus6KrFizxGNZAL3Z/N67Getz1tXir12weC7tJrGwEHd86mbaTv2/Yxn6zk7CcwXa2invVuH2ZfPevcHS2o1lt1F18FXWXXo3mGvxL/4PxiXpbtp4upl5zCflL5pN2uVj1wB/oPO47A/oYg0nXdVoCMb4+sYh9pHfSULqu89n6bpp6whR5zf+aUv6P2Uy+8wYsiTiBqYey4uFniJeNMLQmJZlk30d/w7jn/wBA8xnnsfaW+wa0X3qgtYViTB2Zy9RRmTkKT+xcKq3x1vIWbKqKyz70H4i+9PugrlM45wP2+eOj5FUs2vzboclT6Dz223QfczzBKdPQrXu4Yq7ruJoayF2+mIJ5n1A490Mc3V2bb46MHkfzWT+m5YzzSObJqNNNJCxnsO2t4s669hLemTCZSUvmA9B78FeovGtm/2WWITQgn6h3QUnE2f/26xjx1mvoisLaW39L89nnD8pjDYZ4Kk0wluSUqSPwOTOr9zqbNPZE+HBth/nbL3Sd8U8+xPgnZwLQdPZPqPrV3aYKpGXvvM7+t83AEo/RfdTXWfHoc6Q95vwwmNI0esIJTps2Es8QX6IXg6+mPcT82m7Kc4d+VfnLXmHNWzSPSQ/eQc7q/j0ByZw8Wk/7Ic0/OJfwpAFun9Q0clZVUPbePyj915s4OtuB/ok37SedRuN5FxGaMm1gHzMDSVjOcFt+enX+eRaP6+CMhEm53Ky/9tc0nnMhWIb2U/VQrCxvpuvs88dH2Pex+wFYd82vqbvk6oy5jNQT7p/7edzkUlQZZTXkYsk0b1W04LZbTH05XkkmmXz3jYx8/S/oqsram39D8zkXGF3WdvlWL2faFT/G0d1JYMo0Kv7wkmnHPXb2xZhQ7OPwfWQFLZskUhpvLGvC6zBmqs3e7t1xtDQx6aE7Kf332wDEC4tpuOByms4+f2g+dKbTFM35gFGv/Gnz4WAA3Ucew4YrfknvYUcNfg0mJWE5C7z60J0c+/wfOG/jr7uOOY7K2x4gPmLUkNcyVLuAtzXy1ReZfNeNKLpO3UVXsu6Xt2RMYG7pjXLk+EImlfmMLmXYmbeui/qeMMUmbr9QEgkOuv5ySv77Hmmni1UPmr/lyNVQxyGXnY27sZ7wPhNY8tzfSJSUGV3WF2iaTnsoxvemjRyysWJi8K1pCbCk3m/IqvJe0XVGvvYSEx+4HWs0Qtrpou7iq6i/8IohaZ3cHldDHaNm/4mRr72ENdwHgP+wI6m9Ygb+6UdnzPvrQJGwnOG6X3iKrz54F6N1jTAw94LLsVx3u2E/yEbOlyx97x8ceNNVqKkUGy65mvXX/DojntDJtEZ3OMGpU0eQ65Y37KHS5I/wQWUH5blO0x5/qyTiTL32Uoo/fp+kL4eKp/5CYNphRpe1W+ydHRxy2Tn4qtf0B+bnXzflqX894TjluS6OmWS+OfNiz8WSaf6+tJl8ty0jRgPaO9s54NZrN6/kdnzrZKpuvNOQxa7tsQZ6GfPS04x+6RlswQAA3Ud9nZoZt9G3/xSDqxs6EpYzlJKI47vp5xz2rzdR6T/K9rXzLuK6B24f9FVcMyv+4J8cdO0lqOk066+8ng0/m2F0SbulN5LA47BywoFlcrLYEIgl07yzvAWH1WLI5p/doSTiHPyLiyj69AMSufkse2Z2xk19sfX2cOiFZ/YH5vETWfL830kUmSuU6nr/UfTfPag8c+Zrix1a3uhndXOQkhzz54O8JfM56JeX4ejqIJmTx9pbf0v7SaeZcpHHEgoy+i/PMfb5J7GFguiKQtupZ7Du6l+ZJtgPpp2FZfN/JBumPOuqOOLckzniX2+ColJ7xS9Z/Oe3GPe9s7hl5iyqVlUYXaJhOo8/idX3P4Guquz7xIOMfeYxo0vaLXluO119cda2BXd9Z/GlLWvwk0zrpg3KpNNMufHK/qCcX8DS5/6WcUEZIJlXwNJnX6Vv4mQ8tTUccukPsW5cnTILRVFw2ywsa/Bj1gUisXvC8RSrmoMUeAfvQJ4BoeuMfnEWh154Bo6uDnoO/yqfv/kx7d893ZRBGSDty6Hup9cw71/zqf/JT9EtVsrf+htfPflrjH/iQdRY1OgSDSNh2Wx0nVEvP8sRPzwR39pVREaPZclLb1F71Q2bT7KbNv3oYX+cZvtJp7P63kfRFYWJD9/L6BdnGV3Sbin2OVha76e7L250KVmtyR+huj1EoVnfUHWdyffcROn775Dy+lj69Kv0TT7Q6Kr2WrKgiCXPvkZ4nwn4qis5+OrzUeMxo8vaSp7bTmtvjLagueoSe6ayNYiqglU1b3xRUikm33Uj+91/G2o6Td1FV7LsmVdN2dO/Pcm8AmpuvJN5786l7aTTsSTijH9yJkeefiyFn/zH6PIMYd6ftmHI3tnOtMvPY/JvbsYSj9Hy/XNY8PoHGdO/ONTavncWlXc8BMB+999G6btvGFzRrllVFa/Dyrz13STTmtHlZKVYMs3n67spcDtM26c8/rEHGPXqi6QdTiqeeDEr+gKThcUsm/VXYiVl5C+ez5QbroR02uiytpLjtLGkzo+myepyJgrGkqxtC1LoNm8rjRoJM/XnF25+fq/43SzWzbh1z2clm0Bs1FhWPfQUi194g76Jk3E31nPIz/6PqVdfgLO5wejyhpSEZZMo/vBfHPn9b1I09yMSufmsePgZ1tzziGnnl5pFy5k/ovr62wE48OZfkLdonsEV7ZrPaaM3kmBlk7kuVWeLpfV+Uppm2vaL0X9+mvF/fBjNYmHlzFlZNaopNmI0y/74V5K+HEr++y6THrzT6JK24nVa6QknaPRHjC5F7IVVTQFsFtW0IzitgV6+cvFZFH/yHxJ5BSx99jU6Tvye0WV9ab2HHcWC1/5D1Y13kfJ4KfnwXxx16tcZ9/TvUZJJo8sbEhKWDWYJh9n/thkcfPUF2P09dB/1dRa88SEdJ5xidGkZo+H8y2n40cWoyQQH//xC3OurjS5pl0p9TlY2B+iQS8IDqrEnQk1HH0Uec648Ff/nXfb77a0AVN71O7q+eYLBFQ288KT9Wf74C2hWG2P+PIuRr/7Z6JK2UuCxs6iuR67sZBh/OMH6zj7y3eZsrbL19nDoJT8kd8VSIqPGsPjltwkccrjRZQ0Y3Waj8SeXMe/dz2g9+QdY4jEmPPIbjjjnJHxrVhhd3qCTsGygnBVLmX7mtxj5+suk7Q6qfnU3y2a9Qry03OjSMouiUH3jXXQcfxK2YIBDLj8P+8YTisxKVRXyXDbm1HQRS5rrUnWmiiRSzFvfTaHHbspT+ryVq5hyU/9eg5prb6b19LMNrmjw9B52FJV3PAjAfvfeRP6CuQZX9D9Om4VYQmN9R5/RpYg9UNHUi8NqMWVrla2ni0MvOoucNSuIjNmHJS/8g8i4fY0ua1AkiktZ/cCTLH3mVSKjxuBbu4rDzzmJCTPvzuoNgBKWDaCkUuzz5EwO+/GpuBs2EJq0Pwtn/4vG/7sUTLxpwdQsFlbd/wSBqYfiamli2s/+DzVq7kutHoeVeCrNsga/0aVkPF3XWVzXg45uylP67J0dTLvqfCzRKC2n/ZD6YbBBt/X751B34RWoqRRTr7kEZ1O90SVtVui1s7ShVz6oZojOUJyG7gj5JpxRbwkFOfTSc/BVrSa8zwQWv/AG8bIRRpc16HqO+jrz3/iI+p/8FEXTGPfcE0z/wfEZ0Qq5NySZDTFXQx1fOf909n3iQdR0mvoLLmfRK/8c+LPghyHN5abiiReJjB5LzpoV7H/7daDrzH72cSq2WdmqWDCX2c8+blCl/1PkdVDd3kdDd9joUjJaXVeYDV0RCk14iVaNx5j6iwtxtjXTO+2w/hVXE66ODYZ1195C5ze+hS3Yy9RfXmqaCRn9B1norGmRMY5mp+s6FY1+vA6r6a4YqdEI0678Cb61qwiPHd8/YzxDJl4MBM3toebGO1n08jv0TdgPT30th13wAybfeQOWvpDR5Q0oCctDRdcpf+OvTD/jePIqFhMrLWfJs69Rc/0daA7zD1bPFMmCIpY/9idSLjfl7/6dMS88xX5TpnHPjMs2B+ZNx3PvN2WawdWCqigUeezMq+2mL54yupyMFIol+by2myKvCdsvdJ3Jd1xP3vIlxMpGsuLR59Ht5uynHhQWC6vve5zIqDHkrF7BpPtvM7qizQo9Dta0BAnGhscGpUzVHozT2hsz3VHlSjLJQTMuI3/JfGKl5Sx7ZjaJ4hKjyzJE8OCvsOC1/7D+yuvQrDZGvfoiR532DQo3nliYDSQsDwFbbw8HXXsJB95yLdZImPYTT2X+3z/Ef+QxRpeWlcIT92f1ff0HlUyceTfHpVLcMnMW98y4jD89dj/3zLjMVCcgOmwWFGD++i4ZabWHNE1nfm03NouKw2q+9ovRf3mWEW+9RtrlouLxF0x3st1QSOXmsfLhZ0jbHYya/SJlb//N6JIAsKgKNqvC8oZeo0sRO6Bp/e1VOU5zBWV0ncl3/4riT/7bP/Xi6dnERow2uipD6XY7G352HQv+9j6BKdNwtrVwyOXnccDNv8AayPznmITlQVY45wOOPO1YSv/zLimPl9W/+T0rZ84ilZdvdGlZrfPbJ1N7+bUomsZB113OUeWjOOXs83n5qYc55ezzTROUNyn0OGgJxKhql8vCe6KqPUhrb8yUO+RzVixl4gP9o9NW3/toVsxS3luhA6ZSfdM9AOx/x/V4aioNrqhfgdvOhu4wHSFztIeIrTX5I/REEnid5ppRPPa5J/o35jucVPzhJSL7TjK6JNMIT9yfxS+/Q80vbyFtdzDiH7M56rRvUPThv40u7UuRsDxI1EiYyXfdwCGX/whHVwf+rxzJ/L9/QOtpPxw2/YpGq73yejqPPQFbsJdJl/yQD1/5Ez+6/Fremf3CF3qYzaDE62BxnZ+ecMLoUjJCd1+cxXV+Snzma2uw9fYw9dpLUVNJGn58SVbMWv2yms/6MS3fOwtLLMrUay7BEja+T19RFLx2K4vloBLTSaU1Fjf4yXeZ64NwyfvvMPF3/R/8Vt/3GMGphxpckfnoViv1F1/Fgr9/QO+0w3F0tjPt6vM58IafYfN3G13eXpGwPAj6R8J9m1GzX0Sz2qj55S0sef51YqPGGl3a8KKqrLr/CbrLRlDc3MD7B07jgqtv3NySYbbAbLX0n+43p6aTREpmwO5MIqUxd10XXocVq8VkL2OaxoG/ugpnWzOBqYdSM8M8fbqGUhTW3nY/fRMn46lbz6T7bzW6IgByXDY6QzGa5KASU6nrDhOOpUx1uJC3ag0H3nQ10D/+sePEUw2uyNwi+0xg8Yv/oOpXd5N2uih/9+8cedo3KPn320aXtsdM9i6T2ZRkkvGP3c9hPz4VT33t5pFw9RdfBRbzPOGHk7TXx+9POIWk3c6Uzz6i/I1XmDb9aG6ZOYuqVRVGl/cFPqeNUDwl4+R2oaKxl1A8hc9svYzAuKd/T9GcD/tP4pw5C91urpUxI2kuNysfeoq0w8nI1/9C8X/eNbokoL8NaqEcVGIaiZTGsoZeCkzUXmUNBpj6i4uwxIbP+McBYbHQ+H+XMv+Nj/AffhSO7i6m/vJSDrr2EuxdnUZXt9skLA8Qd20Nh//oZMY/9TCKplF34c9YOPtf9E0+0OjShr1jbryL6tvuB2DyPTfhWbeWadOP5myTvtiVeB2sbQtR32X8ZWozauwJU9kapMRrvvaLvEXz2PfxBwBYff/jxEeMMrgi8wlPmMy6GbcAsP/t1+FobzW4oo0HlSQ1qtuza9xVplrXESKeSuMwy8x0TePAm67G3VhHcP+DWHvb/dJOuYeiY8ax5LnXqbz1t6TcHkrff4cjT/sGpe/8HXTzt0BJWP6y0mnGPP8k08/8NjmrVxAdMYolz7/OuutuG14jokyu9fRzNvdLHnTtpagR8wbRTePkPlvfJWOtthGKJZm7rosij910J3lZe/1M+dVVKJrGhst+Qfcxxxtdkmk1nncxXUd/E3vAzwE3/wI041d0izx2Khp6ZYSjwaKJNBWNvRSa6Mj6cU//nuKP3yeZk8eKR55Bc7qMLikzqSrN51zA/Dc/pvur38De28NBN/6Mg686H3tHm9HV7ZSE5S/BU1PJ4eedzKSH7sISj9Fy+tnMf+Mjeg//qtGliW0pCmtv/S194yfira1h8t2/MrqinXLYLNgsKp/VdJGSS8NA/4afuTVdWFXVPCtOm+g6+995Pc62FgJTD6X2Z9dtvsnMh+IYRlFYc8+jJPILKPz8U8b8+WmjK8JqUbGoCssbM3/MVSZb0xoANh0cY7yCzz5m38fuR1cUVj3whOw9GgCxEaNZNusV1tz1O1JeH8Ufv89Rp32D8jdeMe0qszl+GjOMkkiwz5MzmX7mCeSuqiBWNoJlT73MmnsfJe31GV2e2AHN7WHlw0+TdrkY8dZr/Zd/TCzfbacrnKBC3rwBWN7US1dfwpRj4kb8/a+Uvv8OKY+XVQ/8Ad32v15qMx+KY6REcQlr7n4EgAkP32uKcXIFHjvrOvtklJxBgrEkla1B06wqO9pbmXLDz1B0ndqfXSdXiwaSotByxnl8/uYndH39eGzBAAfecg3TLj8PR2uz0dV9gYTlPeRbVcERZ5/Yf1x1KknT2T/h8zc/kSdRhghPmEzVrzbOe737RpzNDQZXtHOlXgerWwI09pi3bWQoNPZEWNUcoNSEY+LcdevZ776bAVh7y31ER2+98rRpQ6lZD8UxUtc3T6DprP9DTSY44OZrUFLGtkCoikKOw8rCDT0ySs4AK5oC2Dau8BtO0zjg1z/H3ttD19e+yYbLrzW6oqwULxtBxZMvseq+x0jm5FE09yOOOu0bjHz1z6ZaZZawvJss4TATHrqLI879Lr7qSiKjx7Hk+ddZe9sDspqcYVrOOI+O40/C2hfiwJt+Dum00SXtkKoqFHkczKnpIhAdnv3LgWiSOTWdFHkcqGZ4E92Ckkgw5YYrsESjtJ78A9pOPXO795s2/WhTH4pjpJrrbiNaPpLc1csZ8/wfjC4Hn9NGTzjBBtlgO6S6+uLUdvaZ5srRmBeeonD+HBIFhaz5ze9Blbg0aBSFtu+dxedvfUrHt76LNdzH/ndez6EXn4Wzqd7o6gAJy7um6xT/9z2O+t7XGff8kwDUX3A589/4EP8RXzO4OLFXFIXKOx8iXlxK/pL5jDN576jDZsFhtTCnevjNX46n0syp7sRhtZivTxnY5+lH+zf2jhzN2lt/u8Md8hUL5vLO7BdMfSiOUdJeH5V3zgRg3ycexLOuyuCKoNBjZ3F9D7GkeT9IZxNd11la78djt5pi466vciUTHrkPgNX3PDIsj6k3QqK4hBWPPMvKh54ikV9AwYK5HHX6sYx95jGUhLGHdUlY3glXYz3TfvZjDv7FRTjbmgkeMJVFL79DzfV3oLncRpcnvoRkfiGr730UgPFPPEjOymUGV7RzuS4bgViSRXU96Ca6NDWYNE1nUZ2fYCxJrst885S9VWsYN6v/Z2j1vY+S9uVs936bepRvmTnL1IfiGKnna8fSfMaP+tsxbjG+HcNhtZDWdFY0BQytY7ho7o3SGoiZ4nmuRiNMueFnqKkkjedeSPc3vm10ScOLotB+0ul8/tantJ10OpZolIkP38v0M44n38DXTAnL26HGouzz5EyOPO0bFH36AUlfDmtv/g0LX/mnHG2ZRXq+diwN/3cZairFgTdeaYrjd3emxOtgXUeIytag0aUMicq2ILUdfRSbcJ6ykkpxwC3XoKZSNJ5zwU4n4FStqtiqR9nMh+IYqfr624mVjSB35TLGvPhHo8uhyOtgbVuQzlDc6FKyWiqtsbjOT77b+KAMMOnBO/DU1tC37yRqrpPTN42SLChi1UNPsXTWK4THjsdbW8NXLjqTKddfgb2zfcjrUcy6SjXl4EP0X8/6ByU+59A9qK5T+t4/mPDwPbg27sZs/d6Z1My4XS7DZCk1HuPwc07CV11J05k/Zu2dDxld0k6lNI32YJxvH1DCiLzsvbrR5I/wQWUHpTkOrCbsFRz79GNMfOReouUjmf/mJ6Q9XqNLygqFcz7gkMt/RNruYMEbHxIZt6+h9YRiSWxWlZOmlJtj01kWqm4LsWBDN+W5xs8uLpj7EYf+9Fw0m52Fr/xTDhUzCSURZ+zzf2CfPz6CJR4j5fGy/qobaDrvInSrdcAe58QjJten+/zjtneb+d6FDJJbsZjDzzuZg264AldrM6FJB7Dk+ddZfd/jEpSzmOZwsur+J0nbHYz620sUffhvo0vaKauqUuix80l1J4FIdm7484cTfFrdSZHHbsqg7K6tYfyT/R+qKu+cKUF5AHUfczwtp/0QSyLO5LtuNHw3vM9pwx9Osq5DTvYbDLFkmiUNflOMirP0hTjg9hkArL/qegnKJqLbHdT99Bo+f/tTOr95ItZwH/vdfxvTz/wWBXM/GpIazPdONMRcjfVMue6nHP6jU8hdsZR4UQlr7vodC/72H9nAN0yEJ+3Pumv7R3/tf8d12Hp7DK5o55w2C3aLhY+qOogmsmsDUjie4sO1Hbhs5tzQRzrNAbdeiyURp/kH59LztWONrijr1Fx/O4m8/s09ZW//zehyKPLaWVLvl5P9BsHqlgC6rmO3Gh9FJj50V/+hQlOm0XDBFUaXI7YjNnIMyx9/gYonXiQyagzemrUc+tNzmXbZuYM+p934n1CDONpamHznDRx1ytco++ebpB1Oan96LfPem0fLGeeBxYRv1GLQNP74EvyHHYmju5P97r3Z6HJ2Kddl658UUdNJMktO+Iun0nxc1Ymm6/ic5uhf3NbovzxHXsVi4sWl1Fx/h9HlZKVkfuHmXtFJD9xu+IfXTXN/l9QPn821Q6E3kmBNS5AiE6wqF3z+KaNe+zOazc6aex8Z0Ev7YuB1HXsC89/6lJoZt5Ly+ij67COO/MHxTL7jeuxdnYPymMMuLNs7O5h036189aSjGPXqiyiaRstpP2Teu59R+/Mb5ZLqcKWqrLnnUVIuN2XvvUHJ++8YXdEuFXocdIbizK/tzvgDFFJpjc9qughGk6aZs7otV0MdEx75DQCVtz1AKifX4IqyV+vpZ+M//Cjs/h4m/O4eo8uhwG2nritCkz9idClZQdd1ltX34rBaDJ+dbgn3sf9tvwSg9opfEp4w2dB6xO7RHE7qL7qSz/75OY3nXoiuKIx67c989aQjGf/7+7EGB3aSzbAJy/bOdiY8dBdfO2k6Y156GksiTttJp/H5m5+w5je/J14+0ugShcGio8eybsatAEy++0ZsPV0GV7RrJT4HG7rCLGnwZ+yqV1rT+by2m+ZAjGITntAHgKax/+0zsMSitH33+3Qdd6LRFWU3RaHytgfQbHZGvv4X8pbMN7gchUKPnfm1Mnt5ILQEYjT6I6aYgDHhd/fgamkieMBU6i+60uhyxB5KFhRRdct9zP/Hx3QeewLWSJjxf3yYr51wOPs89TCWcN+APE7Wh2VXfS2T77ieo799OOOefxJLNErHcd9h/t8/ZNVDfyQyfqLRJQoTaTr7fHqmH429p5vJ99xkdDm7pCgKZTlOVrcEWNEUyLjArGk6i+t6qOsKU2bWoAyM/NtLFCz8jERBIVW/Nn6lcziIjJ9I3SVXATD5jusNP5TAabOQSussa/AbWkemS6Y1FmzoJs9tQzH4AJLcpQsZ/cqf0Kw21tzzCLrN+PAu9k5k/ESWP/Eii15+h+4jj8EWCrLvY/fztROOYOxzT6BGvtxo2KwNy77Vyznol5fyGweSFQAAIABJREFU1ZO/xqjX/oySStLxrZNZ+Mo/WfHYn+jb7wCjSxRmpKqsuft3pNweSv/9NiX/etPoinZJVRTKc1wsa/SzJoNmMGuazpJ6P2vbQpTmOA1/49wRR2szEx+6C4C1N/+GZH6hwRUNH3WX/nzzjNWxG09QNVKh1051e4iW3qjRpWSs6vYQ4Vgat93YvmAlkWD/O68HoO7iqyQTZInAtMNY9uxrLHnub/QecgT23h4mzrybo799OOOfeBCbv3uvvm5WhWUlkaD03Tc47MffY/oPT6T032+jW6w0n3Een789hxWPPkvwoEOMLlOYXGzkmM2btybffdOgbRgYSBa1f4V5cZ2f1S3mP3Xs/9m77+g4yquP49/Z3le7q96LVWzJttwrNjWUOKYFnEBoARxCDZhgijGm924CmBJq6M10EkrAAUx1772o9+1t5v1Dkl/ANm6SZnY1n3N0JKS19mezu/PszH3u7V4or6ztIMtpUsSI212SJAZe/3d0fh8Nhx9Dw5FT5U7Ur4hGE6tm3wFA0SP3Yt68UdY8GkHAbTHy5fomtRxjP3hDUX7c0kaaTf59CQVPP4Jt3WoC+UVs+sslcsdR9bDWMRP57tm3+OHRF2gfMhxDWwvF/7ibiUeMpOzWWZhqtu7T70uKxbKxdjvFD9zOxMNHMPiKv5Ly4zfEbHY2nfVX/vfRN6y84R4CRQPkjqlKINtP+hPN4ydjaGuh4kb5+73uDZ1GQ4bDyLcbW1iyrU2xJRlxUWLhxmZW1HaQqeSFMpA1/xVSv/iEqMPJqlm3goKzJqvWsROpmXoS2kiY8puvlv25aDZoicREtRxjH0mSxA9bWtFrBXRaeZce5q2bKXr4HgBWzb4d0diHw89UfUcQaJl4CN/+612+e+p1mg46FG0wSP5zjzP+qLFUXnE+jsXf79VrSsL2RxEiYdI++zdZb72M54uP0cQ73+V7yway7Y9nUffbE4lbrTKnVCUsQWDF9Xcz7riDSf/Pe2S8+wb1U06QO9Ue6TQaspxmftzSRjQuMizPJftu85+KxES+XN/E1pYA2U7lll5A56bgsts6N3yumXkDkbQMmRP1X2svn03apx+S+r9PSfv0QxoPPUrWPKk2I2vqfeS6LOS5k3eSZk/a3hZkc1OALKfMC1NJovzGK9GGQ9ROOZGWcZPkzaPqfYJA26jxLBo1HtvqFRQ8+RAZ779J1ruvk/Xu63RUDmHrH//8679CqWefdjnuWpJwLP2RrDdfIvP9t9B3tAEg6nQ0HDGFbX88k7bhY9SzP6oek/3avxg0+zKijhS+mv/fhFkwiaJEbUeIAek2Rhe50ct8Jgc6B458vqaR1kCkb8fY7w9JYsglfyb94/dpmngIix75l/q6IrO85x+n/JZZBHPy+Gr+54gmeccjh6Jx/JE4vxuaJXv9rdKFY3HeXlyDQauR/d8q4/03GXz5eUQdKXz5zhdEPeqE3v7IVLOV3BefJvu1f2Ho6uWutabsdty18hfLNiP2FUtI//e7pH/0DtbNG3bcxltRRc2xJ1N/zPHqSGpV75Akqs87hdQFn9Jw2NEsuf/JhFk0SZJEgzeM22pgUlkaVqN8B6kmX5jPVjUgShJuBQwh2JP0D95iyIy/ELPa+OrNzwhn58odqd8TYjFGn/Qb7GtWsOH8GWy44O9yR6LJFybDYWJyWZqiruAozfebW1hZ5yVT5jfJWm8H46dMxNjUwIo5d1Fz0p9kzaOSnyYUJOP9t8j715O4Nm9JvMXy4AFl0sujJ1P4+YeYt/9/IXbYk0bd706kdurJ6u5VVZ8w1m5n3LGT0fl9LL3zEeqPOU7uSPukxR8GBCaXp5Hh6NuDlShKrGvwsXBjM3aTHpuMC/a9pW9tZtzUSRhamll53R1sP/l0uSOpuqR8/zUjTz+OuMHI1/M/J5hXIHckatqCjCl2U57pkDuKIjX7wry3tJYMu0n2NxSlt19HwTOP0lY9iu+efQs08l9xUymEJHHkmIGJt1geKQjSd11fh1PTO3eiHzGFtpFj1VGUqj6X/cpzDJpzOZEUN1/N/2/CXboLRGK0BaMMzU2hMtvRJxts/OEY325qYXOzn3S7SRGlIHuj8orzyXr3dVpGT+CHJ15RD6gKUznzArLeeY2GQ49iyYNPyR2HaFyk2R/mmMHZuK3yd3lQklhc5INldUTjouwj7K3rVjHmhMMQJImFL3+Eb2CVrHlUynPk6IrdLpYVexSQ9HpW/eFsvn12Pl98uojV195G69iJ6kJZJYua359K87hJnd0xbr5a7jj7zGLQkWE3sXRbOx8sq6PRG+61+xJFifUNPuYvrqGuPUS205wwC+XUTz4k693XiZvMrLz+bnWhrEBrZ1xLzGIl/ZMP8Hzxsdxx0Gs1WA06vljbSDimtpP7qVV1XloDEdkXykgS5bfMQhOPs+2k09SFsmqfKfZIEB5YyQ9/u5b24aPVA5ZKfoLAyuvvIma2dA4r+egduRPtM61GINNpIhoXeW9pLV+ua8IbivbY75ckibr2EO8tq+V/65twmHSk2oyK7njxU7qOdgbecAUA6y65imB+obyBVLsUSc9kwwWXA1B267UIkd5747e37CY9/lCM7zYl7tj5ntbij/DjllZFjLBP/+ht3AsXEElxs/7iK+WOo0pA6ipUpdpLoZx81s3obCVWftOV+z0JSG52k54sp4ktLQHe/HE7X61votkX3u+DfCwusrUlwHvLavloeR2xmES204xRp+3h5L2r9M45GBvraaseydZTz5Y7jupXbD31HHzFpVg3b6Dg6UfljgNAmt3IugYf6xp8ckeRXSze2SLSYtChk/lklybgp+yO6wFYf8mVxFJcsuZRJSZ1saxS7YNt086gZdR4jM1NlN8yS+44+00jCKTajGTYTWxpDvDe0lreXlzLipp2mn1hYnHxV/98MBKnpi3INxubefX7bXy2uoFoVCI7xYzNlHilUu7/fUbO6y8QNxhZceO9oE2shX5/I+n1rLn6ZgCKHr0XY32tzIlAEATS7Ua+3tDcq2VOiWB5TTut/ihOs8zlF0Dh43Mx1W2nY9AQtp94qtxxVAkq8Y5qKtUevPTEXMqrqqkeM3HH9xYtXMDqZYuYdvaFB/bLNRpW3ngvY48/mMz33qD+6GNlH5BwIDQaAY+t8zJpMBLnx61tXdOMBBxmPQ6TDqNei0aAaFwiGInRFogSioqAhF6rIcWsl30i14HQ+n0MnNN5WX/D+ZcTKC6VOZFqb7SMm0TD4b8l/T/vMuC+m1l+61y5I6HXanCY9Px3dQNHD86StV2jXBq8IRZtbSezjzvv7Ip5yyYKn3wIgNVX36y+CVbtt8Q9wqkUQ5QkYnGRaNdHTBRlrdsrr6rmphnTWbRwAdC5UL5pxnTKq6p75PcH8wpY97drAKi4/gp0bckx9tZs0JJhN5HhMJNmN6Khs+5wW0uALc0B6tpD+MNxrEYdmU4TmU4zHpsxoRfKAAPuvRlzzTY6Koew5ay/yh1HtQ/WXj4bUW8ga/6rOJb8IHccAKxGHaIk8fmaRqJ7uEKTbELROF+saSLFrEergL7TZbfPRhONUDP1JNqHjZI7jiqB9chRThCEowRBWC0IwjpBEHaqnhcEwSgIwktdP18oCEJhT9yvqm9F4yJtgQj1HUHqOkLUd4So6wjR5AvjC8cIRuMEo3G8oRgN3nDnbbydt2v0hglEYn2yiK4eM5FZd8/jphnTeerB27lpxnRm3T3vZ2eaD9TWU/5M6/AxGJsaKLt9do/9XqXQCAJGvRa7SU+KxUCKxYDTrMdq1CVMZ4u9kfLdV+S98E9EnY4VN9ybNN12RFEiHI0TjHR+hGNxxCTceBbMK2DzmecBUH7rLBCVsTh1W400+8N8t6kFUUy+f/ddkSSJbze2EInHFXFG3fPFx6R99hExq411l10rdxxVgjvgR7QgCFrgIeAIYBvwrSAI8yVJWvGTm50NtEqSNEAQhD8AtwPTDvS+Vb1LlCR8oRj+SAxBEDDpNGSlmMmwG7Gb9ZgNWkw6LXqtsFPHA0mSCMfEHSNhm31htrcFqe+q5TPpNDjMejS91CmhesxEpkw7g+cfuZdTz7u0RxfKAGg0rLjpXsYefyjZ81+h/qipNE8+omfvQ9WrNMEAg669DIBN516Mr6JS5kT7LxITaQ9GiUkiAqAVNFhNWgy6zjc24ZhIezDStWCW0Gk6ywW6f57INp17MdlvvIhzyQ9kvvs6db/7vdyRAMiwm1hb78Nq1DEkN0XuOL1uTb2XDU0+sp3yjiEHEKJRyu6YA8CG82cQSUuXN5Aq4fXE27/RwDpJkjYACILwInAs8NPF8rHAnK6vXwXmCoIgSGqPHUXyhWP4QjEQICfFzLD8FFLtRmxG3V63ARMEAZNei0mvJcXS+XuG5KYQisZp8oXZ0OhnS0sAAUgx6zHqe7aWbNHCBbzz0tOcet6lvPPS01SPntDjC+ZgQTHrL55J2Z3XM/D6K/jqrf8St6tTvBJFydw7sGzZiK+0go3T/yZ3nH0mSRJtwSjhmIhJr6Eiy06W04zDrMOs1+7yDWwwGqc9GKW2LcSGRh/N/jgmvRZnL75x7W1xq411f7uayll/Y8C9N9Nw2NGIFqvcsRAEgQyHiR+3tGI16ChJt8kdqdc0esN8s7GFdLtJEa0ic15+BuuGtQTyi9h6itrZRnXgemKxnANs/cl/bwPG7O42kiTFBEFoBzxA009vJAjCdGA6QFZOXg9EU+2tuCjRGogQjYuk2oxUl3rIdJox9fAi1qTXkuuykOuyEIzE2dISYOn2NloCUVwWfY/cX3eNcnfpRfXoCb1SigGw5bTppH/0DimLv6fszjmsvOGeHv39qt7hWPID+c/MQ9JoWHHjvUiGxJm8JkkSrYEo4VicfI+VgZl2Um3GPY4SFgQBi0GHxaAjy2mmOi+FJl+Y1fVeNjX5Meg0uCyGhFw01x57Mrkv/BPn8sUUPjGXDRfNlDsS0NnbPN1uYsG6Jkx6DTkui9yRelwgEuO/qxuwm/SKKNHStbdR/NBdQGdNeyI9t1XK1ROP7F29sv7yjPHe3AZJkuZJkjRSkqSRbo+nB6Kp9iQmijR4O+uOS9JsTBmSzdGDsyhMtfX4QvmXzAYt5Zl2jqvOYXyJh1AsTl1HaI9ty/Zk9bJFP1sYd9cwr162qCdi/5xWy4ob7yVuMJLz2r9w/++znr8PVY946Ym5LFq4ACESZtCsvyGIIt8e+Tse++Z/ckfba4FIjNqOEGkOI1OGZDO5LI10h2mPC+Vd0WgE0h0mDipNY2p1DvluC3UdIdqDPTeops9oNKy58kYACv75MKaarXv4A31Hr9XgsRr4dFUjDd6Q3HF6VCwusmBtE3FJwqaAOmXobCVoaG+lZdT4hO5UpFKWnlgsbwN+eho4F6jZ3W0EQdABTqClB+5btZ9EUaLBG6LFH6Ey28Hxw3MYVeTGZe37d+E6rYaSdBtTh+YwLD+FJn+EFn9kv3/ftLMv3OkMcvWYiQfeNm43AiVlbDi/s/XYwOtmoPWrQwmUqLtLiuXay7CtX0NLRjZTv/q8x7qk9CZRkqj3hojGJY4YlMEh5ek9+lx1mvWMK0nlmMFZmA1aatqCCdfJoX34aOqOOR5tOMSAe26SO87PmPRaHGYd/1lRT7MvOXowS5LE95tbafCG8Vjln9IHYN68gbznn0QSBNbOvB4S8CqJSpl6YrH8LVAqCEKRIAgG4A/A/F/cZj5wRtfXvwc+UeuV5SFJEi3+CPXeUOdZ3WE5DM1zYTHIf1bAoNNQme1kanU2bquemvbEOWBvOeuvtFcOxVy7ndK7b5A7jmoXqsdM5IGLr2TUO68hAqcEvFx+z2M9v/mzh4VjcWrbQ5SkWZkyNIusXtxAlWozcmRlJqOL3DT7InQk2FnmtZfNIm4yk/n+W6R8/7XccX6muwTmoxX1B3QyQCmW13Swqq6DdAWMs+5WeveNaGJRao+bhnfgYLnjqJLIAS+WJUmKARcCHwIrgZclSVouCMINgiBM7brZE4BHEIR1wGWAOpxdBsFInJr2IGk2I1OH5jCiwK2IRfIvOUx6Dq3IYHShmyZfGG9I+QdsSadjxc33Ier05L70DK6vF8gdSfULQjTK8S89gw6YC6Seeo7iF8reUJS2YJTJZWmMLU7tkxHiWo1ARZaDKUOz0OkE6r0hWfum74twVg6b/3w+AGW3zVZMK7luNmPn5ssPl9cl9BnmdQ0+vt/cQobDpJgad9c3/yP94/eJmS2su1hdYqh6Vo9U40uS9J4kSWWSJJVIknRz1/dmS5I0v+vrkCRJJ0mSNECSpNHdnTNUfUOUJBo6QoRjcQ6tyODgijScFvnHkP4aTdcB+5jBWUgCNPmUX+vnLx3IxvMuBWDQ7EvR+v0yJ1L9VMGTD2FftYzNGg2Lz76Ad156esfgGiVq9oeRgGOqsihM7fvuDikWA0dVZlHosVLTHiSmsIXn7mz68wWEMrNxrFhC9psvyh1nJzsWzCvqaOhQ/uvaL21tCfC/dU2k203oNPJv6AMgHqe0q1Xc5rMvJJKeKW8eVdJRyCNd1VuCkTh1HUEGZNiZMjSbPLdFEa199pbHZuSYqizS7SZq24OKH6yw6ZyL8FZUYd6+lQH33Sx3HFUX69qVFHXtkF946Sz+eNm1OwbXKHHB3OAN4TDpOaoqU5Z9BN0MOg3jSzyMKnRT7w0TjsVly7K3RLOFtZfOAqDkvlvR+rwyJ9qZzajDbtDz0Yo6trYE5I6z17a1Bvh0VQOpVoMiOl90y5r/Mo6VSwllZu8YUqNS9STlPNpVPa7ZHyYYjXNYRQaji9y93t2it5j0WiaVpVGR6aC2PUhcwROxJL2e5Tfdh6jTkfevJ0n57iu5I/V7QjRK5TWXoI3HWDz5CNxdl+l7tUvKAajvCJHpMHHowHRFlEkJgsCgbCeHlqfRGogQiMTkjrRH9b89nrbqURibGymad7/ccXbJbNDishj4ZFUDK2vbFV/qsrWlc6Hsthp6vC/+gdD6/Qy471YA1l16DaI5+drzqeSnLpaTUEwU2d7WWZs8ZWhWUvT21Gk1jCx0MSzfRW37gbeX602+gVVsOuciAAbNuhRNMHHOHCWjgn/+A8fyJQSzcmi54x8/+1lvdknZH7XtQXJcZg4qS+uT+uR9kee28ptBmZ1Di8IKXzALAmuu7Nxom//MPMxbNsmbZzeMOi0ZdiPfbGzlm40tit3QvKHRxyerGnBbDIo76VLw5FyMTQ20V1VTd8zxcsdRJSl1sZxkQtE49R1hRhS4OLhcGWemeoogCAzJTWFssburjZYyDywAG/9yKb7SCixbN1HywO1yx+m3rGtX7hhQsPLGe4nb7DIn2r36jhC5bgsTBqQq6hL3T6U7TBxZmUk4Flf8xtuOwcOoOfZkNNGIojvU6LQaspwm1tR7+c+KekX9u4qixLLt7XyxtpF0u1FRZ5QBjLXbKXjqEQDWzLwBlFJDrUo66iMribQHo3jDUQ4fmE5VjnO/BhUkgoosB+NLUmnwKvcMs2QwdJZjaLXkPzsP54/fypalexjHTy1auICXnpgrU6K+IcRiVF5zCZpYlG0nnUbLuElyR9qtRm+YDIeRiQpeKHfz2Iz8ZlAmkbikqIXdrqz729XEzBbS//OeojvUaASBLKcZbyjGO0tq2dIs/+bgSEzkqw3N/LC5lQyHSZGPywH33YI2FKTuqKm0Dx8tdxxVElPeo1+1X5r8YbQagWOqspOi7GJPSjPsjC32UO8NK3aXvreqms1/vgBBkhh07aVoQkFZcnQP4+heMHePA0+EYRwHouDJh3aUX6y9fLbccXar2R8mxaLnoLI0RS5IdsVlNXBkZQbhuKjokoxIeiab/vI3AMpuvxYhptysAG6rAYdRx6erG/lyXRPBiDwbKlv9ET5cXsfmZj9ZTgV1vfgJx5IfyHrnNUS9gXWXXiN3HFWSU94zQLVPJEmiviOE22LgyMpMxbeE60nlmQ5GFrqo7wgjKnTT38a/XoavuBTrxnU7ygH6WvdGtptmTOepB2/nphnTfzYOPBn9rPzihnsUW37RHoxi0GmZXK68GuU9SbEYOGJgBoFITNGb/racPp1Abj72NSvJfvU5uePskVGvJdtpYnOLn/mLt7Oh0ddnr29xUWJFTTvvLq0hGhNJt5uU2T1JkijrahW35fTphHIL5M2jSnrqYjmBiZJEXUeIPLeZQyrSMRsS62DbEwZlOajKcVDboczBCaLRxIqb70fSaCh46mEcS36QJUf1mIlMmXYGzz9yL1OmnZHUC+Xu7hc7yi/GT5Y70i4FI3EicZFDKxJ3b4HHZuTwQRl0BGOEo8psKycaTaz9+xwASh68A11bq7yB9oIgCKTZTNgMOhasbeK9pbXUtffua1xDR4j3l9by/eZWUq1GHGblnnhJ/3A+KT9+Q9iTysbpl8gdR9UPqIvlBCWKEnXtIcoy7EwYkDiXb3uaIAgMy3MxIN1Gg1eZE7E6hgxn8xl/QRBFKq+6CE2g7+sRFy1cwDsvPc2p512q+GEcB6po3n2KL7+IxkVagxEOrUjHqeBFyd5It5s4uCKNJn9EsZtuGw87mpYxEzG0tVD88N1yx9lrRr2W7BQz0bjIRyvq+GBZHdtaAz3WPlOSJBq8IT5ZWc8Hy2uJxkWynGZ0Cj6eaMIhSu+5CYANF85U7FUjVXJR7jNCtVuiKFHTEWRQtoNRhW60SbqRb29pNAKji9yk2o20+JW5YN5w4RX4BpRj3bR+x+XDvtJdozzr7nmcedFMRQ/jOFCOxd9T+Oh9SILAipvvV+SBVJQkGrxhxhV7yHCY5I7TI3JdFiYM8Ci3JEoQWH3ljUgaDbkv/BPrutVyJ9ondpOebKeZcFTkk1UNvP7DNhZvbaPZt3//3oFIjPUNPt5dUssHy+po8UfIcpixm5T/xi3v2ccwb9+Kr7SCmhP+KHccVT+hLpYTTPdCeWhuCiMKXEnb8WJf6bUaJpWmodNqFLlDXzSZWXbHw4h6A7mvPEvaJx/02X2vXrboZzXKSh3GcaC0fj9VMy9AE4+z+cy/0qrQUpN6b5hBWQ4GpNvkjtKjBqTbqc53UqfQkih/2UC2nXQamnicsttngwIz7onNpCPbacZm1LG8pp33ltbxyvdb+WJtI+savNR3hGgPRAlG4oSinR++cIwWf4StLQEWb23l3SU1vPb9Nr7a0IwoSWQ7zaRYDMqsTf4F/U+GzKy54nokXWKWL6kSj6DEFzWAqqHDpKvnvUm6PTnOvPQEUZKobQ8yJDeF6ryUhHhx62st/gjvL6slxaxX5Iap/KcfpeyO64i43Hz9xmdE0tLljpQ0Bs6eQc5rz+Mtr+SbF99DMhjljrST1kAEu0nH4QMzFH2pe3+JosT/1jexuSVApgJfu/WtzYw/Zjz6jnYWPfg0TYceKXekAxaLi/gjcULRGBICIAH/f2zo/g4SaDUCNqMOk16TkMePiuuvIPflZ2iadBiLHn5e7jiqJHPk6IrNcV9r4a5+lnyv1klKlDprlKtynOpC+Ve4rQYmlKTStJ+XJ3vbltPOpXncJAytLQy65hJQaNu7RJP2yQfkvPY8cYORZbfPVeRCORiJI0oSE7uugCQjjUZgbLEHj8VAayAid5ydPPf6C3z+2xMAKLvjOoRIOOF7juu0GpxmPRkOM5kOE5k7Pnd+ZHR/7TSRZjdiNmgT8vhhXbuSnFefQ9RqWXP5dXLHUfUzyfmKnWS628OVZ9oZludKyBe6vlSYaqUqx0m9NyR3lJ1pNCy/5QEiThep//uUvH89KXeihGdobGDg7MsAWHfZLPylA2VOtLO4KNESiDC5LB2bMbkvHeu1GiaVpQHgV1gP5vKqaqa9/ybNWblYtm5Cd8s1/aLneMKTJMruuB5BFNl+8ukESsrkTqTqZ9TFcgKo94YoTLUystCt1ijvpaG5KaQ7TIo8uxVJz2Tl9Z09gAfcfSPWtStlTpTAJIlBsy/F0NpC87hJbD31bLkT7VKDN0R1XgqZTuWVJvQGq1HHweXpdISiiuqQUT1mIlfe8xjnetsAGP7Kc9wy+/akbqWYDDwLPsHz5WdE7Q42XHC53HFU/ZC6WFa4Rl+ITIeJscWeft/1Yl/otBomDEglLkmEFNj/tfGI37L9xFPQRsJUXXG+bNP9El3uC/8k9fOPiTpSWHHz/aDASWOtgQgZDhNVOU65o/SpNLuRcV1j6UUF7Y1ZvWwR3kOOYj5gB477/OOEL8VIZkI0SmlXB6GN511K1OWRN5CqX1LekUW1Q1sggt2oZ2Jp/+2jfCBsRh0TB6TS7Fdm/fKamTfiLyjGvmYlZbdeK3echGNfsWRHG76Vc+4knJElb6BdCEfjxESJ8QNS++Wb3ZI0KwOznNR3KKckSqvV8fE7r/H6IUcSAbLfeJF3L/mzWoqhUDmvPodtw1oCeYVsPeXPcsdR9VPqCkyhfKHOWr+DK9Ix6ZXX1SFR5LosVGY7afAp52DdLW61svTuecQNRnJffY7Md16TO1LC0Ho7GHzZdDTRCFunnUHDkb+TO9JOREmiyR9hQokn6euUd0cQBIblp5BqMyqiJGrRwgW8+PgDTL/8Ot5c9C1vdNW+Pm53UD16gszpVL+k62ineO6dAKydca0iN+7uj1hcJByLE4mJPTZgRtW71MWyAoWjcXyRGIdUJP9moL4wNC+FFLOB9qDy+i/7Blax5qrOaVQVc/6OZcNamRMlAEli0HUzsGzdhLeiirUzr5c70S41ecOUZdjI91jljiIrvVbDxNJUYqL8JVHdPcd/f+Z5TJl2BueuX0OrwUhJzTYy3n1D1myqnRXOuw9DWwutI8fSePgxcsfZL6Ik0RGMUtcR3PHhC8eIiRLhuEhbMEJdR5D6jhD13hCBiLI2xao6qSsxhYmJIo3+CIdVpOGxJce7aLnpu+qX313GfUcNAAAgAElEQVRag9WgVVzbru0n/YmU774i693XGXLZuXzzwnuIZovcsRQr56WnyfjwbWJWG0vumYdoVN6mOX84hsmgZXiBS+4oimA36TmoNJWPVzaQ5TDJtlF52tkXAv8//n3qeZdy7TPzmBsJU3rPjTQeeiSipX+/uVEK85ZN5D/7ONA5gIQE6wIVjYu0+CNIQE6KiWGeFFxWAzajbqdjUDgWxxuK0eQNs77RR217EJ1GwGU1oFPgPoz+SP2/oCCSJNHQEWZkgYs8t/qC3ZNcVgMjC9w0+BQ4DlsQWHXdnfiLBmBbu4qKm65KyOlifcG+Ygnlt80GYOX1dxEsKJY50c5EUaItGGXigFRFDsaRS67LwpBc+Vs6/nL8e+ED/+RHrRZTfS2Fj6ub/JRiwD03oolFqZl6Et7KoXLH2WtxUaLOG6I9GKU6P4UThudwSEUGRWk2UiyGXZ6sMeq0pNqMVGQ5+O2QbKYOzaEs006zL0KjL6TIPTf9jbpYVpBGX5iiNCuDshxyR0lKZRl2shwmWvzy107+UtxqZck9jxE3mcl+8yVyX3xK7kiKo29pYsjFZ6GJRth28unUH32c3JF2qd4bYnCOk3SH8s54y21wjpM0u1HW5+BO49/HTWLlFZ2lPAX//AfmzRtly6bqlPLdV2T8+13iJjPr/3a13HH2WnswSoM3RFW2g+OG5VCZ7cRi2PcL+E6LnhEFbo4fnkNpup16b1iRZYT9ibpYVoj2YBSHSc/oIrWXcm/RaATGlHiIiaKier9285cNZMX1dwNQdtu1pHz7pcyJes9LT8xl0cIFP/ver7XvEqJRBl82HXPtdtoHD2PNlTf0Rcx95g1FcZj1DM7tX23i9tb/t3QUCctUvzzt7At36quc/qdzqJl6EtpImPJbr1Gv7MhJFCm7o3NC3+Y/n6/ILje/JIoSte1BLAYtvxuaTXWeq0c25lsMOkYWuvntkCwsBi217UFi6tRXWaiLZQUIReOEY3EOKktTL9v2ModJz6hCN41eBZZjAPVTTmDTWeejicUYcuk5mGq2yh2pV5RXVXPTjOk7Fszdl8Z3176r9K7rcX/7JeHUdJbc/6Qi65TjooQ3HGPCgFS11eOvsJv0nSPp/RFF9V9eN2M2UbuD1C8+Ie2TD+SO029lv/EijuVLCGVksems8+WOs0fhaJzajiBVOU6OGJRBisXQ4/fhthr4TWUmwwtc1HeE1U2AMlBf0WUmihLN/jCTytJwmvVyx+kXStJsZKcosxwDYN2l19A04RAMrS0MvegsNMGA3JF6XPWYicy6ex43zZjOUw/evqOGdFeT1LLeeIH85x5H1OlZct8Tij3T1OgLMzTXSaq6MXeP8j1WKjLtitpDEElNY/1FMwEou3VWUj7vlE7X0c6A+24GYO2M2YrfbOkLx2gNRjm0Ip1h+a5e3Tyu1QhUZjs5enAmkZhIi185z53+QF0sy6zOG2JoXgq5LrX7QV/RaARGF3uIKrQcA62WZXc+TCC/CPuqZQya9TdIwktv1WMmMmXaGTz/yL1MmXbGLhfKjiU/MPD6zgXMqmtvo33YqL6OuVe8oSh2k45B2Wr5xd4alu/CbtThDSmnFnP7tDPwVlRhrt1O0bwH5I7T7xQ/dBeGlmZaR4yl/hhl7kno1h6MEo6JHF2V2acb8tPtJo4enIXdpKe+I4SkoKszyUxdLMuoxR8my2FicE6K3FH6HYdJz4h8F00+ZZ5djjlTWPzgU8SsNjI/mM+Ae2+WO1KP627fdep5l/LOS0/vVMNs3ryR6gtO2zF4pOb3p8qU9NeJokRHKMb4ErX8Yl8YdBomDkjt6jmrjDeDkk7HqmtvAzo3+1k2rZc5Uf9hXbeK3BeeRNJoWH3VTYpuFdcWiCAIcFRVpiwtXq1GHYcPyiDfY6G2Q1nj5JOV+souk2AkjgT9dgyuEpRm2Em1KXNYCYB/QDlL7nkMUaej8MmHyH3+Cbkj9Zhftu/qLsnoXjDrW5oYdt4pGFqaaR5/8I7BLUrU6AtTleMgza6WX+wrj83IiAIXDR3KuaTcXj2S7Sf8EU00QvnN6ma/PiFJlN8yC008zraTTsM3sEruRLvVFoig0QocMShD1tJJvVbDhJJUBmY5qG0Pqu3lepm6WJaBKEo0ByJMHJCKVZ3QJxutRmBssYdAJKbYkaMtEw9h5Zy7ACi/dRZp/35X5kQ9Y6f2XV01zKuXLUITDFB9welYtmykY+Bgltz3OJJemfX8/nAMs0GrXh06ABWZDrKcytpDsO7Sa4g6nHi+/Iz0JHnOKVn6v9/FvXABEaeLDRfPlDvObnUEowiCwBEDM7Cb5H9N0mgERha4GJqXQm1HSLHHsWSgLpZlUO8NMyTHSY5apyw7l9XAkFwnjT55ByX8mtrj/8C6i69EkCSqZl6A84dv5I50wHbVvqt6zET+cMZ5DP77X3Eu+YFgdi6LHn6OuNUmU8pfJ0oSbcEI40tSMejUl9L9pdEIjO1q6RiJKaMcI+pOZd0lVwFQdvtstH6/zImSlyYYoLSrVdz6i2cSTXHLnGjX/OEYUVHkcIUslLsJgsDQ3BSq81Ko61AHmPQW9RW+j7UFInhsnQs0lTIMynZiMerwh5XbjmfT9EvYdvLpaMMhqi84HdvKZXJH6nmiSMUNV5D26YdEHSn8+OgLRNIy5E61W83+MGUZdjKdymtjl2jsJj1jijw0+sKK2bC0/aTTaK8ciqmuhpIHbpM7TtIqfPIhzLXb8ZZXsv2k0+SOs0vhaOc46sMGZuC0KGeh3E0QBIbkOhma56SmI6jWMPcCdbHchyIxkXBMZMKA1F5tMaPaN3qthvHFqbQFI4o5UO9EEFh9zS00HHY0+o42hp97Mta1K+VO1XMkifKbrybntX8RN5lZNPdpAsWlcqfarXA0jkbQMCzfJXeUpFGcZqXAY6EloJByDK2WVdffhajVkvf84ziW/CB3oqRj2r6FgiceAmD1NTeDVnlzBmKiSJM/wuTyNEW3hew+w1yV7aRO7ZLR49QVWx+RJIlGX5hxJR61n7ICZTpNlKbbaVZw70pJp2PpXY/QdNChGFpbGH72yVg2rJU71oGTJErvmEPei08RNxhZPPdp2keMkTvVr2ryRxhT5O6RKV2qToIgMLqo8xJ8SKbpfr/kHTiYLaf/BUGSGHjdDISoMjcDK90uJ3Z+/QWOv5yCNhyi7pjjaRsxVqZ0uydJEvUdIUYVushzK79sUhAEhue7KE23Ua+gTbPJQF0s95Emf5jiVCtFqcpust6fVeenICEopm5yVySDkSX3P0nzuEkYmxsZcebx2FavkDvW/hNFym6dRcEzj3YOHbn/CVrGTZI71a9q8YfJd1ko8Cj/4JloLAYd44o9tPiVc5VnwwWXE8grwL5mJQVPPSx3nIS0q4mdiy4+iyEb1xGz2VlzxRx5A+5GvS9MabqdgVkOuaPsNY1GYFShmxyXmYYO5e7FSTTqYrkPBCIx9BoNo4rcCAruHdnfWQw6RhW6aFLw2WUA0Whi8YNP0Tx+MsbmJkaceTyOxd/LHWufCbEYg2b9jfznn0DUG1hy7+M0Tzpc7li/KhoXicQlRha51OdyL8lzWyhOtynmeSiaLayafQcARf+4G/PmDTInSjy/nNh532Xn8rChcyz0ukuuUuTehLZAhBSznpGFiXfc1mk1jB/gwWkxqJP+eoi6WO5loiTRGogyoTRVvWSbAIpTbaTajIrtvdxNNFtY9NAzNBx+DPqOdoaffRKeLz6WO9Ze0wQDDL7sXLLfepmY2cKPjzxP06FHyh1rj5p8YUYUpChqN3yyEQSBEfkutIJGMeUYLeMnUzP1JLSRMAPn/F3tvbwffjqx87H8IuytLbRXDmXbtDPkjraTcDROVBSZVJaWsJ1ujDotB5enodVoFDUlM1El5qMggTR6w1RmO8hymuWOotoLGo3AmCI3/nBM8S14JIORpXfPo+bYk9EFA1Sff1pCDC4xNNYz4ozjSf/4faIOJz8+/jKtYw+SO9YeeUNRXBYDZRmJc0k2UZkNWsaVeGhWUDnG2ivmEHG5cX/zP7LfeEHuOAmne2Ln1b8/ld8s+QFR0LBqzp2K29QnShJN/jATB6TiSPA3xVajjkMq0glG44p545mo1MVyL/KFYthMOobkqgMLEonHZmRQtkMxl4F/jaTTseLm+9nw18sQRJGKW66h/KarFLsRyb5yKaP/cAzO5YsJ5Obz7XNv0149Uu5YeySKEt5wjLElHnXiZh/Jc1soUVA5RtTlYc2VNwJQeuf1GBobZE6UOLondl5758NcsXoFWuBRg54vvB1yR9tJfUeIymwnee7k2F/kthqYVJZGsz+imLHyiUhdLPeSuCjREYqqAwsSVFWOE51GQzgR3o0LAhsuvIJlt81F1BvIe+GfjDjjOIw12+RO9v8kiZyXn2HkKVMw1W2nbdhovn3hPQIlZXIn2ytNvjADsxyKbh2VjJRWjlH32xNomnAI+o52Km6cqZZj7KXuiZ1TNqzFufRHQumZRO95jNXLFskd7Wfag1FcVgND85LrBFeuy8LIQhf1aku5/aau4npJgzfM0DwnaXb14JqITHptQmz2+6m63/2e7596nVBmNimLv2fsiYeT9vH7csdC19FO5cwLGHj9FWgjYbb9/k/88MTLRN2pckfbK6FoHL1Ow+AcdZBQX+ssx3DT7FfIsBJBYOWcO4lZbaR//D6Zb78qd6KEMO3sCxmbk0fJvbcAsPqaWxh08G+YdvaFMif7f9G4SDASZ+KAVPRJOAdhUJaDAel2GnyJc0xTkuR7RChARzCKy6KnMls9uCayAo+VTIdJ8Zv9fqq9eiQLX/03TQcdir6jjaEXn0XV3/+KvqVJljypn37E2GMnk/Xu68TMFpbe/o/OQQ/GxJl616z2VJZVrstCcaqNZoUMKwln57L6qs5yjPJbrsFYVyNzogQgSQyaPQNdMEDdUVNpPPwYuRPtpNEbZkyxmxSLQe4ovUIQOlvKOc162hTyXEok6mK5h8VEEX8kxnh1Sl/C02gERhd5CETiit/s91NRl4dF/3iO1TNvIG4yk/neG4ybOonsV55DiPXNSG/T9i1UzZhO9YWnY2qoo23oCL555SPqp5zQJ/ffU1oDEfJdloQYSJCsBEFgRGHnpMRwTBnlGLXH/YHGyUeg93Yw6NrL1HKMPch+9XncCxcQcblZffXNcsfZSbM/TK7LTEmaTe4ovcqg0zCpLI2oKCmmtClRqKu5HtboDTMs34XbmpzvTvsbl9XAoGw7TYl26UqjYevp0/n6jU9pGT0BQ2sLg+ZczpgTDyP104967eCub22m9M45jP/tRDI/mE/cZGb1zBv47tn5BIoG9Mp99pZYXCQSFxmh9lSWncWgY0yhmyafQs6ICQIrr7+biNOF58vPyHn5GbkTKZaxdjtld84BYPXVtxD1pMkb6BfCsTiiBKOLPWj6weZdh0nPpNJUmv0R4gl0Ekhu6mK5B3VvDqjItMsdRdWDKrOd6LQJstnvF4L5hfzw5KssvesRArn52NatpvrC0xl77GSyX30eTSjYI/djWb+Gijl/Z+JhIyh46hE00Qi1v/s9X739OVtPn6649lB7o9EXZlheSsK3j0oWhalW8l0WxQxZiKSls2r2bUBndwzzlk3yBlIiSWLgDVeg8/toOPQo6o8+Vu5EPyNJEk2+CGOL3NiMOrnj9Jkcl4Vh+SnUqxP+9pq6WO4hMVEkEIkxoUQtv0g2ibjZ72cEgfqjj+Ort79g9cwbCGVkYVu/hkHXzWDSQVVUzryAtE8+QLsvbZwkCcvGdRQ8MZfRJ/+G8VMnkfvKs2jDIRonH87CVz5i+W1zCWXn9d7fqxf5QjEcZj1lGeobX6UQBIGRRS5iokQ0rowWWA1HHUvd0cehCwaouuKvim3ZKJesN18k9fOPiTqcrLr2NlDYFZpmf4TCVAuFqcnRJm5fVGU7yXWZE/e41scEReww3oWqocOkq+e9Sbo9MTYC1bYHGZbvokrdMZ+URFHi3yvq8IZiCb8BRIhGSf/wbfKfewzn0h93fF8SBPwDyumoHEooO5dQZg4xW2cNnxAXMTQ1YKqvwbJxHc7FP2Boa9nxZ2MWK3VTTmTLaecSKC7t879TTxIlidqOEEdXZpLuSIzXn/5kTZ2Xrzc0k52ijEFPuvY2xpx4GOba7Wz68wWsm3Gt3JEUwbx5I2NOPAxdMMDyWx6g9tiT5Y70M+FYnI5QjKlDs7H2o7PKPxWMxHl3aQ16jabf/hv81JGjKzbHfa2Fu/qZ+q/TAzrU8ouk173Z7+0lNThEKaFr2yS9nvopJ1A/5QTMWzeT/uF80j79EMfyJdjWrsK2dtVe/Z5wajqtoydQf+TvaJ54CKJJGYuXA9XsD1OeYVMXygo1IN3GhiYf7cEoTrP8JTIxZwrL7niYEWceT+GTD9EyZiItEw+RO5ashGiUqpnnd3a/OPpYaqeeJHeknTT5whxUmtavF4lmg5ZJZWl8sKwOo06jXhX/Ff33UdJDurtfHFyRrT7QkpzLaqAy28HqWm/SLKSCeQVsPuciNp9zEZpwCPuKpdjWrsRUW4Oxbjva7ppmQSDiSSOUkUUwN5+OwcM6SywUdln1QIWjcTSChuo8l9xRVLvROZLewztLarAateg08r/utg8fzYYL/s6AB26j8uqLWPjaJ0TS0uWOJZuih+/pHD6SmcOqa29X3OtEayBCnstCUT8sv/ildLuJUYUuvt3YSpbTpG5m3g11sXyAmrwRhualqN0v+onKbCfrG/yEo3GMSdZ3VzSaaB82ivZho+SOIpsmf5hJpWlqT2WF656ytnhbO1kKeeO66ZyLcC9cgHvhAiqvupAf570ICljI97WU77+m6LH7kQSBZbc9SMyprGl40a4uNyOL3OrCsEt5hoP6jjB17UFSbcp4PilN/3sm9yBvKEqKRc+gLIfcUVR9JOE3+6l2qzUQITvFTIFHPduUCAZmObAbdfjCfdM7fI+0WpbdNpeI24Pnq88pevQ+uRP1OV1HO5VXXoggimw65yLaRo2XO9JOmnxhhuerXW5+SqMRGFvsQa/V4lfK80lh1MXyfoqLEt5wjHElHrX8op/pnuynTkFKHjFRJByLM7qwf/RaTQZ6rYZxJR7aQ1FEhWxUj6RnsvyWB5EEgeKH7iT1s4/kjtR3JIlBs/6GuWYb7ZVD2XD+5XIn2kn3/qKyDPUE1y+Z9FoOKkulLRglJiqj24ySqKu8/dToCzMk14nHZpQ7iqqPdW/2C0bFhJrsp9q9Rm+E6jwXTot6timRZDhMlGfYFDU0qPmgQ1l/0UwESaJq5gVYNq6TO1KfKPjnP0j/+H2idgfL7nwEyaCs0kRRlPCFY4wt9qBV3xDvUrrdxMhCF/Udynk+KYW6WN4PvlAMu0lHZbbaJq6/6p7s16iWYyQ8XziGw6yjXO1mk5Cq81xoNcoaGrRp+iXUH/FbdD4vQy8+C63PK3ekXpXy3VeU3HcLACtueYBgQZHMiXbW6A9TmeMgVT3B9asGZjrIc5lpVo9tP3NAi2VBENyCIPxbEIS1XZ93uYVcEIS4IAiLuj7mH8h9yk0UJdpDUcaXpKJXyy/6tcpsJwathpCCDtKqfSNKnc/nccUe9fmcoEx6LWOK3DT5FVQWJQisuPkBfKUVWDesperKCyFJL20b62oYPOMvaOJxNv35AhoPPUruSDsJReMYtRp1DsJe0GgExpZ4EBAIRtRjW7cDPTpcCXwsSVIp8HHXf+9KUJKk6q6PqQd4n7Jq9IUZnOMkza6+O+3vTHoto4vcNCvpIK3aJ82+iNpTOQkUeCzkusy0KOi5GLdaWfzAU0QdTtI+/ZCSB26TO1KP0wT8DL3oTIxNDbSMGs/6S66SO9IuNfsjjCl2Y9SpXW72hsWgY1JZGi3BCHG11BA48MXyscDTXV8/DRx3gL9P0XzhGBajVn13qtoh320hJ8VEq7rZL+GEonG0GkHtqZwEBEFgZKGbSFwkppBR2ADB/EKW3vkIolZL0WMPkPPys3JH6jmiSOU1l+BYsYRAXiFL73scSae8brQt/gj5Lgu5LovcURJKptPE0FwnDd6Q3FEU4UAXyxmSJNUCdH3eXRd2kyAI3wmC8LUgCAm5oBZFifZglAklqRh06uVaVSdBEBhV6CEci6s7iBOIJEk0+yOMLXarPZWThNOsZ1h+Ck0+Zb1xbZl4CKtm3wFAxY0zk6ZDRvHcO8n46B1iNjuLHnqGaIpb7kg7iYkikZjI8EKX2lN5PwzOSSHNblTUFRu57HHVJwjCfwRBWLaLj2P34X7yJUkaCZwC3CcIQslu7mt616L6u5bm5n349b2vwR+mMtuhXq5V7cRp0TMkN4VGr7ohIlG0BCLkeyzkudWzTcmkPMOO3ayg3stdan5/Khv+ehmCKDL48r/g/PFbuSMdkJwXn6L40XuRNBqW3vUogZIyuSPtUpMvQnV+iiLGoicirUZgwoBU4pKoqA20ctjjYlmSpMMlSaraxcdbQL0gCFkAXZ8bdvM7aro+bwA+A4bt5nbzJEkaKUnSSLfHs59/pZ7nD8ew6LUMyVXWJCKVcgzMcmA16QhElHWQVu0sGheJixKjCtUJXslGp9UwrthDh4J6L3fbcMHf2X7CH9EGgww77xTsyxcD8NITc1m0cMHPbrto4QJeemKuHDH3KP3D+VTc1FmbvHLOXTQfdKjMiXYtEOksm1S73BwYu0nPxAGpNPkjintO9aUDrSeYD5zR9fUZwFu/vIEgCC5BEIxdX6cCE4AVB3i/fUaUJFqDUSYMUMsvVLun7zpItwYiSEnygpJoB/G91egLM6rQjc2ovPpK1YFLd5goTbcpr/WVILDqujupO2oqOp+XYef+AdvqFZRXVXPTjOk7nmuLFi7gphnTKa+qljnwztwLPqVq5oUIksS6S66i5sRT5I60S5Ik0RqIMrZI7XLTE/LcVgZlOfr11dMDfRTdBhwhCMJa4Iiu/0YQhJGCIDzedZuBwHeCICwGPgVukyQpYRbLjb7O8osMtfxCtQdZTjMl6Xaak2SzXyIdxPdWWyBCpsNESZpN7iiqXlSd11mjGo4p69KxpNOx/LaHaDzkSAztrQw/+/ccZHcw6+553DRjOk89eDs3zZjOrLvnUT1motxxf8bzxScMvehMNNEIW/50LpvOvVjuSLvVGohQmGohy6ket3tKdzlLezAqdxRZHNBiWZKkZkmSDpMkqbTrc0vX97+TJOmcrq+/lCRpsCRJQ7s+P9ETwftCIBLDrNcyJFftfqHaO8PzU5AkiMQSf7Nf9ZiJCXEQ31uxuEgoKjKmSB1pnezMBi2jCtw0K2yzH4Ck17P07kdpmnQYhtYWRpx1IgfrdEyZdgbPP3IvU6adobjnmOfz/zD0ojPRRsJs/cOZrLnyBlBoCVNMFInEJYbnq5v6epJeq2FiaSqhWDwpjm/7Sr0+sRuiJNES6Bw+ovZmVO0ti0HH6EK3osbvHojqMRMVfRDfF42+MMMLUtSR1v1EUaqVdIdRkWfCRKOJxff/c0dJxtBzTib67GOcet6lvPPS0zuVP8kp453XGXrRWZ1nlE89m9WzblXsQhmg0RehOi8Fu0l9nve0FIuBsUUeGn3hpCk33FvqYnk3Gn1hKrMcZKqXcVT7qCjVSpYzOXovL1q4gHdeelqRB/F90R6M4rEZKc90yB1F1Uc0GoExRR4CkbgiBytIBgPL7niYJZMOQx+J8GLAz2y7k1l3Pfqz8if5AkoUPvYAg2eejyYWZfMZf2HNVTcpeqEciMSwqpv6elVxmpXSdFu/q19WF8u74A93lV/kqeUXqn2n0QiMLvIQjiprQMK+6q5RnnX3PM68aOaOkgzZD+L7KCaKBCIxxhV70KrlF/2Ky2qgMttBo9I2+3XTanlwxFgWHDcNQZIou3MOf3zvDa67bS6rly2SLZYmHGLgdZcz4L5bkASB1TNvYO0V1yt6oSxJEm2BKKML3eqmvl4kCAIjCl1YTTq8IeVdtekt6iPqF0RRoi3U2f1CLb9Q7S+nRc/wghQaE7gcY/WyRT+rUe6uYZbzIL4/Gr1hhhe4cFkNckdRyaAyx4FJpyEYUdZmv27TzrmI0M33s+SeecRNZnJe+xfn3HMzZx38G1nymLdsYtQpU8h57XniBiNL73mMradPlyXLvmgNRMnzWMhJMcsdJekZdVoOKk3DH4kRTeATQvtCXSz/QqMvTJXa/ULVA8ozHbisBkXWTO6NaWdfuFONcvWYiUw7+0KZEu27tkCEVJuRCrX8ot8y6rSMKXLTovC2jg1HTuW7Z98ikF+EffVyxpx8JDkvPgV9NRlUksh662XGnHQE9lXLCOQV8t2/3qHhN1P65v4PwI5Jfeqmvj7jthoYW+yhwds/6pfVxfJP+EIxrEYdg3PU4SOqA6fVCIwvSSUQiamjsGUQ7ep+Ma5ELb/o73JdFvJdFloDyn7j6h00hIWv/puaqSehDQUZeOOVjDxtKrZVy3v1fk3bNjNs+h+ovPpidD4vDYf/loWvfIR34OBevd+e0uQLMyTPqU7q62MlaTZK0m0JfQV1b6mL5S5xUaIjpA4fUfUst9VAdZ6r322GUIJGX5iRhS5SLGr5RX8nCAIjilxE4qLi37jGrTZW3PogS+5+lHBqOimLvmPMSUcwcPYMTNs29+h96ZsbKb3jOsZNnYzny/8ScbpYfssDLLnvceL2xLgaE4zEMem16tUjGQiCwKhCF1Zj8tcvq6vCLo3eMEPzUkizG+WOokoyA7PsuKwGOhK0HCMRtfjDZDtNlGWou+JVnRwmPdV5KTQqsPfyrjQcdSxfvrOALX86F4Cc155n/DHjGXT1xTgWfw8HcOnbsn4Npbdfx4Qjx1Dw9KNowyFqp5zIV29/Tu2xJyt6I98vtQQijClyqye5ZGLUaZlUmoY/HE/q+mVBqbwwhgcAABjeSURBVLUmVUOHSVfPe5N0e+/XDrcHoxj1Go6qzESn7qJV9YIWf4R3l9SQZjei06iPsd4UjsbpCEf53dAcdaS16meicZG3l9SgEwQshsR5bFg2rafw0fvIfPd1NPHOjYr+whLqj5pK65iJtA8Zjmj6lY1t8Tj2Vctwf/0FaZ98SMqib3f8qHHy4Wy4aGbClFz8VGsggsui57CBGWqtsszWN/hYsK6JLKcJTYL+vzhydMXmuK+1cFc/6/eL5WhcpNkXYcrQLPVyrapXrahp57vNrWQ71d3avUWUJGrbg0wuS6cw1Sp3HJUC1bYH+ffyerKcpoRbYJm3bCL3pafIfPs1jM2NO74v6g0E8gsJZecSTs9EEjQIkoi+vR3z1k2Yt25CF/DvuH3MYqXumOPZftKf8Cbo+Pq4KNHgDfG7odnqsVsBJEnim40trGvwJWyDhF9bLCfOW+te0ugNM6bYrT7ZVL2uPNPB1tZg19kQ9fHWG5p8Ycoy7BR4LHJHUSlUltNMUaqVmvYgHmtild0F8wtZ+/c5rLt0Fu6v/otnwae4vv0K25oV2NavwbZ+ze7/bE4eLWMPomXsJJomH0HcmthvJpv8YSqzneqxWyEEQWB4gYsmX4S2QCTp/r/068Vysz9MrstMabpa16jqfVqNwLgSD+8sriESE9Uaux7mC8UwGbQMU9tHqfZgWIGLrYsCRONiQg6wkHQ6mg86jOaDDgNA6/Ni3rYFU802jE0NnbcRBOJWG8G8AoJ5BURT3HJG7lGhaByDVkNljrqpT0n0Wg0HlaXy7pJaQtHOjZfJot8ulkPROBIwptiDRm0rpeojDpOescUevljbRHYCXgZWqlhcpCMU5ZghWUn1Aq3qHTajjmH5KXy3qZWsJCiLitvs+Coq8VVUyh2lT7T4I0wuT1MHhymQw6RnUmkq/1nZQIYjefboJMffYh+JkkSzP8yEklSs6gYgVR8rSrUyIN1GU4Lsylc6SZJo8IYZVeQi1ZZYl9VV8ilNt+Mw6/GFY3JHUe2DtkCETKeJPJdaaqVUOS4LwwtSkmpgSb9cLDd6wwzMcpLnVp9sqr4nCAIjClwYDRp8IfVAfaCa/GHyPRbKM9RLsqq9p9NqGFfsoT0YRUySA3qyE0WJYFRkVKFbvSKscJVZTgrclqQ5KdTvFssdwSh2s47qPHVKn0o+Jn1nb0pvOJrUvSl7my8Uw6jTMlYtp1Lth3SHidJ0Gy2B5DigJ7smX5hB2Z1961XKptEIjCn2YDFq+b/27jU2jus8A/D7zezsnXvfJZekKC5vokRJ1pW6WL4pTuBbk7RA4QRtkQIBjAJ1kbYG2hTInwL+0x9pCzQFCqMpmqJB4gBpgTQpmqZNWsNB60ROlNSOI9sJnFgWRS5JibvL3dnLzOkPUoYvWpu33ZnZfR9AsEhT3A8YLuedc75zzloPnDHQV2G5admoNizcNZXl4ipyXCYawHwhhaWy2TNTVd3UtGyU603cPZNlnzLt2LGxBJRSfGh1uXrTgk/XMDccd7oU2qKgoePemRwalgWzaTldzq70TWK81dd4djLFp1JyjZnBAUxkoyhWeBz2dtib7+dzkxn2KdOuhP0+nBxL9cx0ca9aXq9jvpDig7HHxMMG7pnJYrXaQMvDD6R9E5aLlTomc1FMZqNOl0L0JhHBfCGFSMDXE1NV3bJYruNgPobJrLf3iiV3mMxFkYwYKJt8D7rRzWoD+XgIY1xn5EnDiTBOjyexWK57dn1AX4TlstlEJODD6XHuv0ruE/BtTFXVW92dqnr685/D5eeefdvnLj/3LJ7+/Oe6VsNOrKzXMTgQwImxBN/PtCd0TXCmkEa53vLszbxXWbZCrWlhvsBFfV42OxTD7NAAFsvenEXt+bDctGys1y3cNc09Gcm94mEDd89ksbLeQMvuzlTVgcPH8OQTj70ZmC8/9yyefOIxHHDx8bdlswmfpuHCdAY+Dx4mQe6VHQhgdiiGlXW2Y7hJkSf19YRbu0DlYwEsr3svMPf03Wajr9HE+ak0UuxTJpcbTW5MVV0vmV0Z3Tp25gI+89mn8OQTj+Hv/+rP8OQTj+Ezn30Kx85c6Phr74TZtFBrWrhvNoewn/uj0947OhqHJoJ6y9uLkXqF2bQQ9PGkvl7h0zVcmM4iZHhvh4yeDsuLJRMH83EUMuxrJG84mI/h4FAMi6XuPHkfO3MBjzz6CXzxb/4Cjzz6CdcG5aZlY2W9gXtmsnzwpY4JGjpOjyexwsV+AJxt1VJKYWW9gTOFNGeFe0jQ0HHfbA4t28a6hw4E6tmwfKPaQCYawHH2NZKH3JqqGkkEUexCb9fl557F15/+An7jd/4AX3/6C++6MbqBZSssluo4P5nGCE/tog4bT0eQiwU8N/LVCU62at2oNjCWCmM06f3jyOntYkEDF2cHUTZbqHtkS7meDMvVRgu2Au6aycJgXyN5jE/XcOd0BrGQgdUO9nbduvF95rNP4bd/74/fbMlwU2C2lcL1Ug3HxxKYHhxwuhzqA9rmYr9qw4Jl9/diP6datVqWjYalcJKL8ntWdiCAe2ezWKk2PLHHec8lyaZlY63Wwn2zWUQD7Gskbwr4dNw3m4Xfp+Nmh04Xu/LC5bfd+G7dGK+8cLkjr7ddSilcXzNxaDiOo6M8iIC6JxnxY244hqIHFyLtNSdatYqVOk6MJRALGh1/LXLOaDKM85NpLJXrrn8w7amwfGtB37nJFHIDQafLIdqVsN+HDxzMQUQ6MiX86Ccff9eN79iZC3j0k4/v+Wttl1IK10smpgejODnG0SXqvrmRGII+DbWGN6aJO6XbrVoVs4VYyMAMZ5L6wlRuACf3d29h+071VFi+XtoYheLBI9QrBoIG7j84CFsplPqkh1IphYWSiUI2ivlCmnurkiMCPh1nCmmsVht9exx9t1u1bKWwZjZxbjLNrSH7yNxwDHPDMVcH5p75aSxW6tiXDOMER6Gox8TDBj50aGjjRtLjgdneHFGezEZxbiINnUGZHDSaDGEsHcaNDrVCuV23W7WWKxsnc3JmuL+ICE6MJTGdi2KxZLry4bQnwvKNagMDAR/OTfLmSr0pHjbwwbkhiKBjPcxOs+2NoDyVi+IsgzK5gIjg1P4kmpbyxCKkvdbNVi2zacHQNa5P6FOaJpgvpDGRjWLBhYHZ82G5Ym7s03fPgSyCBvdipN4VDxn40NwQAobuyROQ3kvLtrFQMjE3HMOZAoMyucdA0MCJ/QksV3rrPecmt/ZUPjuR4n28j+ma4OxEGuPpMK6X664KzJ4Oy2bTQrXZwgcODmKAq2apD0QDPnzw0CDSYT8W1mqu+mWyU/WWheulOk6PJ3FiLMkeZXKdmcEYkmE/ymZvt0E5ZWW9gfFMGKPcR73v6Zrg/GQG+1MhVwVmz4blRsvG6noD9x3I8UQv6itBQ8e9szlM5aK4tlZDy8PTw2WziRvVJi4eyOLQcJzrDciVdE1wdjKNktmC7fItrrym0bKhoHBqf4rvfwKwcdbAm4G55I7A7Mmw3LRsFCt13D2TRT7B032o/xi6hrMTacwXUlgq11FteOfY0FuKFRMKwENH8hhL80h6crdMNMC9lzugWDExP55GhOci0FvcCsyFbMQVu2R4Liy3bBuLZRPnJ9MYz/AGS/1LRHAwH8cDh4fQaNlYrrhvUcTtNC0b127WkI+H8NCRPGeGyDOOjMYR4N7Le+ZGtYGRRAgF3svpNny6hnMTaUzloo4HZk+FZctWWCyZmB9P8ehbok25WBAPHx3GcCKEa2sm6k333sjXak2sVBqYL6Rw9zQX5ZK3BHw6zk70997Le6Vp2Wi0bMxPcC91ak/fPH5+bjiGhTUTLduZtkPPhGVrc1up42NJHBrm1jJEbxXy67hrOot7ZrKoNFooVpyftnqrpmVjYa2GsF/HI3fkMZuP8QZJnjSaDGMiE8FKj27h2C3Fch3zhRSPtKb3pWkb+zCfGk9isWQ6so2jJ5qEbgXlY/sSODLCoEx0OyKC8UwEg7EgfvzGTbx8vYyQoSMRdq7NwbIVVtbrADa2BJrMRhmSyfNOjidx9XIN9ZaFgI+zI9t1o9rAcCLI03Zpy0QEc8NxBH06vvuzZaTC/q7OTLo+LLdsG4ubI8pHRrhanuj9hPwbx/ROZaO4/PpNvHGzhojfh1jQ17X3j2UrrK7XYSngYH4Ah/JxhPwMFdQbwn4fzhZSeOaVZYxwkfm2NFo2mpaNM2y/oB2YzEUR9uv4zpUlNC27a9sGuzost6yNEeX58RRbL4i2KR0N4OJsDsVKHS9cXcMbN2swdA2JkAGf3pkOrHrTwk2zCShgZnAAs/kB7oFOPWk8E8Fry1UUKyZSkYDT5XiCUgpLFRN3TWX5e4F2LJ/YWBz+7StLWFmvI92F95+rw3KtZeHigRwX8xHtkIggNxDExYNB3Kw28LNiBa8uVdBoKQR8GgaCPhi7DM71loVSrQXLthHy6zgxlsD+dARhv6t/vRDtiojg9EQKX7v8BhotG36fZ5YAOWZlvYHxdAQTWe5+QbuTCPvx4Fwez75SxMKaicFYAFoHZ05dezfTNcFDc3nsS/NEH6K9kAj7cXJ/CkdHN47u/eVKFb9YqaJh2YACDF0Q8Onw+zT4dHnXLx7bVmjaGyvYzaYNy1aAAOGAjoPDAxhJhJGO+Dm1Sn0jGvBhvpDGd18tYiTBe9V7MZsWRID5Ag8fob0R8uu4bzaHH75+Ez+5VkI2GujYQ6trw7KhawzKRB1g6Bry8RDy8RDmCymUzBZKtSZWKnWsVptYqzVxs2a9YzcNBV00hAM6khE/MtEAkhE/4iEDUR4mQH1sIhPBL1fWsVypsx2jDVsprK43cPFgjjNOtKd8uobT4ylkIn5892crCBs6YqG9b/HhTy1RHxMRxEMG4iED+1Jvfzi1bAXLVhABNBHoHDEmehdNE8xPpPEvP3qDu2O0sVSpYzYfw2iSA2DUGYVsFMmIH//9chHXyyZy0b1ty2CTFRHdlq4J/D4Nhq4xKBO9h2jAhzOFNJYrPKzkncpmEwMBH47tSzhdCvW4RNiPBw/nMZ2NYmHNhLmHB3QxLBMREe1SIRNBIRPe3FecgI3DiNYbLdw1neUCSOoKv0/DmYk0Ls5msd5oYblS35MHWP70EhER7ZKI4PR4GppoqDXce+R8tyilsFQ2MT+eRiri3MFI1J/2pSL4lTuGMRQP4tqaifouR5kZlomIiPZAyK/jzqk0Vqt12HZ/t2MsVxqYyEQxPchT+sgZYb8P98xkcc9MFpVGC8WK+Y6F61vHsExERLRHRpJhzA3HsVg2nS7FMWWziaBfw2luE0cOExGMZyL48B0j2J+KYGHNRMVsbfv7MCwTERHtoTv2JZCM+LFWazpdStc1LRvrdQv3zOQQNLgzCLlDyK/j/FQGDxwegq4Lrq3V0GjZW/73DMtERER7yNA13DWVRb1lod7qn/5lWykslkycn2KfMrnTYCyIh47kcW4ijZLZxGLZRMt+/9DMsExERLTH4mED5ybSKJbrO+6T9JrFUh1zI3FMZNmnTO6la4LpwQF89PgIDg/HsFxpoFgxAaBtzxAPJSEiIuqAQjaKYqWBlxdLGIqFnC6no1bW6xiKBXCc+ymTRwQNHXfsS2IqN4CXFkqAbbedBuLIMhERUYccH0sgHQngRrXhdCkdUzabMHQNF6az8OmMFeQtkYAPp8ZTsGul1XZfs6ufahH5dRF5UURsETn1Hl/3gIhcEZFXReTTu3lNIiIir9gIkRnYSqHa2P4qfLczmxZqTQv3Hcgh5OeCPupNu30EfAHArwF4pt0XiIgO4K8BPAjgEICPi8ihXb4uERGRJwwEDdx7IIebtSaa1tZX4Ltd07Kxut7AvQeySHJBH/WwXYVlpdRLSqkr7/Nl8wBeVUr9XCnVAPBlAB/ZzesSERF5yWAsiHMTaSyWd34wgptYtsJSuY7zU2kMJ8JOl0PUUd1oLhoB8PpbPr66+bl3EZHHROSSiFwqFotdKI2IiKg7pnJRHB6O43rJhPJwYLaVwkKphuNjCUzlBpwuh6jj3jcsi8h/iMgLt/mz1dHh223FcdvfEkqpp5RSp5RSp7LZ7Ba/PRERkfuJCE6MJTGeDmOxUne6nB1RSmFhzcTccBxHRuJOl0PUFe+7dZxS6v5dvsZVAPve8vEogGu7/J5ERESeo2mCsxMZmFeWsFwxkYkGnS5py5RSuF4yMTMYxcmxJI+ypr7RjTaM7wOYFpGCiPgBfAzA17rwukRERK7j92m4eyaLaNDAyro3RphvBeXJbBTzhTQ0jUGZ+sdut477VRG5CuAcgG+IyDc3Pz8sIv8KAEqpFoDHAXwTwEsAvqKUenF3ZRMREXlX0NBxcTaHoKFj1eWB2d5svZjKRXFmIg2dQZn6jLh1kcGpU6fUpUuXnC6DiIioY9brLfznTxdRa1hIRwJOl/Mulq1wvVTDoXwcJ/cnOaJMPUtEnldK3fbMEB61Q0RE5JBIwIf7Dw4iEvChWDGdLudtmpaNhTUTx/YlcWqcQZn6F8MyERGRg8L+jcCciQSwsFZzxbZy1UYLxUodF6YzuGNfgov5qK8xLBMRETksaOi4dzaHyWwU19ZqaNnOnfR3o9pArWnjgbkhTOWijtVB5Bbvu3UcERERdZ6hazg3mUYibODSazeQCBsI+7t3m7ZshcWyidxAABems4gGGBGIAIZlIiIi1xARHBqOIxMN4JlXilgv15GO+qF1uA2ibDZRrrdwbF8Ch/Ix+HROPBPdwncDERGRy+RiQTxydBjjmTCul2qo1FsdeZ1Ga2MRn6FrePhIHkdHEwzKRO/AkWUiIiIXCho6zk1mMJGN4rmfr+LaWg3JkB8hv77r791o2Vit1mHoGs5OpDCRjXL/ZKI2GJaJiIhcbDAWxMNH83h9dR2XX1/DwloNIUNHLGhsazs3WylUzBaqTQt+n+DEWBKTuSgCvt2Hb6JexrBMRETkcromGM9EMZaKYKlcxytLZfxypQoFQBMgZOjw6xp0XaCJQCmgZdtotGyYTRuWbQMiGI4HcXowhaF4EAbbLYi2hGGZiIjIIzRNMBQPYigeRKNg40a1geVKHcVyHWu1JtZrFlq2gq5ttHEkwn5kogFkBvxIhv0IGhxFJtouhmUiIiIP8vs0DMaCGIwFnS6FqKdxDoaIiIiIqA2GZSIiIiKiNhiWiYiIiIjaYFgmIiIiImqDYZmIiIiIqA2GZSIiIiKiNhiWiYiIiIjaYFgmIiIiImqDYZmIiIiIqA2GZSIiIiKiNhiWiYiIiIjaYFgmIiIiImqDYZmIiIiIqA1RSjldw22JSBHAL5yuo4MyAJadLoJ2jNfPu3jtvI3Xz9t4/byr16/dfqVU9nb/w7VhudeJyCWl1Cmn66Cd4fXzLl47b+P18zZeP+/q52vHNgwiIiIiojYYlomIiIiI2mBYds5TThdAu8Lr5128dt7G6+dtvH7e1bfXjj3LRERERERtcGSZiIiIiKgNhmUHiMgDInJFRF4VkU87XQ9tnYj8nYgsicgLTtdC2yMi+0TkOyLykoi8KCKfcrom2joRCYrI90TkR5vX70+drom2R0R0EfmhiHzd6Vpoe0TkNRH5PxG5LCKXnK6n29iG0WUiogN4GcAHAVwF8H0AH1dK/cTRwmhLRORuABUA/6CUOux0PbR1IpIHkFdK/UBEBgA8D+CjfO95g4gIgIhSqiIiBoBnAXxKKfW/DpdGWyQifwjgFICYUuoRp+uhrROR1wCcUkr18j7LbXFkufvmAbyqlPq5UqoB4MsAPuJwTbRFSqlnAKw6XQdtn1JqQSn1g82/lwG8BGDE2apoq9SGyuaHxuYfjvZ4hIiMAngYwN86XQvRdjEsd98IgNff8vFV8IZN1FUiMg7gOIDnnK2EtmNzGv8ygCUA31JK8fp5x18C+CMAttOF0I4oAP8uIs+LyGNOF9NtDMvdJ7f5HEdHiLpERKIAvgrg95VSJafroa1TSllKqWMARgHMiwhboTxARB4BsKSUet7pWmjH7lRKnQDwIIDf3WxJ7BsMy913FcC+t3w8CuCaQ7UQ9ZXNXtevAviiUuqfnK6HdkYpdRPAfwF4wOFSaGvuBPDhzb7XLwO4KCL/6GxJtB1KqWub/10C8M/YaCntGwzL3fd9ANMiUhARP4CPAfiawzUR9bzNBWKfB/CSUurPna6HtkdEsiKS2Px7CMD9AH7qbFW0FUqpP1FKjSqlxrFxz/u2Uuo3HS6LtkhEIpuLoiEiEQAfAtBXO0IxLHeZUqoF4HEA38TGAqOvKKVedLYq2ioR+RKA/wFwQESuisgnna6JtuxOAL+FjVGty5t/HnK6KNqyPIDviMiPsTHo8C2lFLcgI+q8QQDPisiPAHwPwDeUUv/mcE1dxa3jiIiIiIja4MgyEREREVEbDMtERERERG0wLBMRERERtcGwTERERETUBsMyEREREVEbDMtERERERG0wLBMRERERtcGwTERERETUxv8DF5ycYIKfzOIAAAAASUVORK5CYII=\n", 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\n", 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" ] @@ -475,25 +589,25 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "variance = 0.24471399188041687\n", - "lengthscale = 0.5217688083648682\n", - "noise = 0.04222287982702255\n" + "variance = 0.24472779035568237\n", + "lengthscale = 0.5217776894569397\n", + "noise = 0.042222216725349426\n" ] } ], "source": [ "# tell gpr that we want to get samples from guides\n", - "gpr.set_mode('guide')\n", - "print('variance = {}'.format(gpr.kernel.variance))\n", - "print('lengthscale = {}'.format(gpr.kernel.lengthscale))\n", - "print('noise = {}'.format(gpr.noise))" + "gpr.set_mode(\"guide\")\n", + "print(\"variance = {}\".format(gpr.kernel.variance))\n", + "print(\"lengthscale = {}\".format(gpr.kernel.lengthscale))\n", + "print(\"noise = {}\".format(gpr.noise))" ] }, { @@ -516,12 +630,12 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 18, "metadata": {}, "outputs": [ { "data": { - "image/png": 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" ] @@ -535,7 +649,7 @@ "source": [ "N = 1000\n", "X = dist.Uniform(0.0, 5.0).sample(sample_shape=(N,))\n", - "y = 0.5 * torch.sin(3*X) + dist.Normal(0.0, 0.2).sample(sample_shape=(N,))\n", + "y = 0.5 * torch.sin(3 * X) + dist.Normal(0.0, 0.2).sample(sample_shape=(N,))\n", "plot(plot_observed_data=True)" ] }, @@ -543,19 +657,19 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Using the sparse GP is very similar to using the basic GP used above. We just need to add an extra parameter $X_u$ (the inducing points)." + "Using the sparse GP is very similar to using the basic GP used above. We just need to add an extra parameter $X_u$ (the inducing points). Let us initialize the inducing points uniformly. During the course of learning, we will also optimize the locations of these inducing points." ] }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 19, "metadata": {}, "outputs": [ { "data": { - "image/png": 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+ "image/png": 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" ] }, "metadata": { @@ -565,9 +679,35 @@ } ], "source": [ + "N = 1000\n", + "X = dist.Uniform(0.0, 5.0).sample(sample_shape=(N,))\n", + "y = 0.5 * torch.sin(3 * X) + dist.Normal(0.0, 0.2).sample(sample_shape=(N,))\n", + "plot(plot_observed_data=True)\n", + "\n", "# initialize the inducing inputs\n", - "Xu = torch.arange(20.) / 4.0\n", + "Xu = torch.arange(20.0) / 4.0\n", + "\n", + "\n", + "def plot_inducing_points(Xu, ax=None):\n", + " for xu in Xu:\n", + " g = ax.axvline(xu, color=\"red\", linestyle=\"-.\", alpha=0.5)\n", + " ax.legend(\n", + " handles=[g],\n", + " labels=[\"Inducing Point Locations\"],\n", + " bbox_to_anchor=(0.5, 1.15),\n", + " loc=\"upper center\",\n", + " )\n", "\n", + "\n", + "plot_inducing_points(Xu, plt.gca())" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ "# initialize the kernel and model\n", "pyro.clear_param_store()\n", "kernel = gp.kernels.RBF(input_dim=1)\n", @@ -578,35 +718,60 @@ "optimizer = torch.optim.Adam(sgpr.parameters(), lr=0.005)\n", "loss_fn = pyro.infer.Trace_ELBO().differentiable_loss\n", "losses = []\n", - "num_steps = 2500 if not smoke_test else 2\n", + "locations = []\n", + "variances = []\n", + "lengthscales = []\n", + "noises = []\n", + "num_steps = 2000 if not smoke_test else 2\n", "for i in range(num_steps):\n", " optimizer.zero_grad()\n", " loss = loss_fn(sgpr.model, sgpr.guide)\n", + " locations.append(sgpr.Xu.data.numpy().copy())\n", + " variances.append(sgpr.kernel.variance.item())\n", + " noises.append(sgpr.noise.item())\n", + " lengthscales.append(sgpr.kernel.lengthscale.item())\n", " loss.backward()\n", " optimizer.step()\n", - " losses.append(loss.item())\n", - "plt.plot(losses);" + " losses.append(loss.item())" ] }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 21, "metadata": {}, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "inducing points:\n", - "[0.03890638 0.51997566 0.26106593 1.0221936 0.7851976 1.3309097\n", - " 1.5923843 1.8223386 2.2960622 2.794138 2.082978 2.5219998\n", - " 3.0490053 3.3228474 3.5942013 3.8977344 4.2026505 4.490753\n", - " 4.7720113 4.9819574 ]\n" - ] - }, + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plot_loss(losses)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now, we can plot the predictions from the learnt model along with the optimized inducing points locations." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -618,17 +783,65 @@ } ], "source": [ - "# let's look at the inducing points we've learned\n", - "print(\"inducing points:\\n{}\".format(sgpr.Xu.data.numpy()))\n", - "# and plot the predictions from the sparse GP\n", - "plot(model=sgpr, plot_observed_data=True, plot_predictions=True)" + "plot(model=sgpr, plot_observed_data=True, plot_predictions=True)\n", + "plot_inducing_points(sgpr.Xu.data.numpy(), plt.gca())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "We can see that the model learns a reasonable fit to the data. There are three different sparse approximations that are currently implemented in Pyro:\n", + "We can see that the model learns a reasonable fit to the data. We can also see how that the inducing point locations are fairly different from our initialization. We can also view the model learning process via an animation below." + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [], + "source": [ + "fig, ax = plt.subplots(figsize=(12, 6))\n", + "\n", + "\n", + "def update(iteration):\n", + " pyro.clear_param_store()\n", + " ax.cla()\n", + " kernel_iter = gp.kernels.RBF(\n", + " input_dim=1,\n", + " variance=torch.tensor(variances[iteration]),\n", + " lengthscale=torch.tensor(lengthscales[iteration]),\n", + " )\n", + " sgpr_iter = gp.models.SparseGPRegression(\n", + " X,\n", + " y,\n", + " kernel_iter,\n", + " Xu=torch.tensor(locations[iteration]),\n", + " noise=torch.tensor(noises[iteration]),\n", + " jitter=1.0e-5,\n", + " )\n", + " plot(model=sgpr_iter, plot_observed_data=True, plot_predictions=True, ax=ax)\n", + " plot_inducing_points(sgpr_iter.Xu.data.numpy(), ax=ax)\n", + " ax.set_title(f\"Iteration: {iteration}, Loss: {losses[iteration]:0.2f}\")\n", + " fig.tight_layout()\n", + "\n", + "\n", + "anim = FuncAnimation(fig, update, frames=np.arange(0, num_steps, 30), interval=100)\n", + "plt.close()\n", + "anim.save(\"../source/_static/img/svgpr-fit.gif\", fps=60)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "![](../source/_static/img/svgpr-fit.gif)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "There are three different sparse approximations that are currently implemented in Pyro:\n", "\n", "- \"DTC\" (Deterministic Training Conditional)\n", "\n", @@ -653,14 +866,21 @@ "Both `GPRegression` and `SparseGPRegression` above are limited to Gaussian likelihoods. We can use other likelihoods with GPs—for example, we can use the Bernoulli likelihood for classification problems—but the inference problem becomes more difficult. In this section, we show how to use the `VariationalSparseGP` module, which can handle non-Gaussian likelihoods. So we can compare to what we've done above, we're still going to use a Gaussian likelihood. The point is that the inference that's being done under the hood can support other likelihoods." ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Gaussian Likelihood" + ] + }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 24, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -673,30 +893,32 @@ ], "source": [ "# initialize the inducing inputs\n", - "Xu = torch.arange(10.) / 2.0\n", + "Xu = torch.arange(10.0) / 2.0\n", "\n", "# initialize the kernel, likelihood, and model\n", "pyro.clear_param_store()\n", "kernel = gp.kernels.RBF(input_dim=1)\n", "likelihood = gp.likelihoods.Gaussian()\n", "# turn on \"whiten\" flag for more stable optimization\n", - "vsgp = gp.models.VariationalSparseGP(X, y, kernel, Xu=Xu, likelihood=likelihood, whiten=True)\n", + "vsgp = gp.models.VariationalSparseGP(\n", + " X, y, kernel, Xu=Xu, likelihood=likelihood, whiten=True\n", + ")\n", "\n", "# instead of defining our own training loop, we will\n", "# use the built-in support provided by the GP module\n", "num_steps = 1500 if not smoke_test else 2\n", "losses = gp.util.train(vsgp, num_steps=num_steps)\n", - "plt.plot(losses);" + "plot_loss(losses)" ] }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 25, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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" ] @@ -715,7 +937,537 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "That's all there is to it. For more details on the `pyro.contrib.gp` module see the [docs](http://docs.pyro.ai/en/dev/contrib/gp.html). And for example code that uses a GP for classification see [here](https://github.com/pyro-ppl/pyro/blob/dev/examples/contrib/gp/sv-dkl.py)." + "## GP Classification\n", + "\n", + "We will now briefly discuss GP classification for multi-class classification. The two main changes needed to the model specification (in comparison to GP regression) are:\n", + "\n", + "$$p(y\\mid f)=\\mathrm{Softmax}(f)$$\n", + "\n", + "or $$y \\sim \\mathrm{Categorical(Softmax(f))}$$\n", + "\n", + "\n", + "We will be using the Iris dataset in our example. We will encode the three classes as numbers 0 for setosa, 1 for versicolor, and 2 for virginica. Also, to keep the example simple, we will be considering only two input features (petal length and petal width)." + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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sepal_lengthsepal_widthpetal_lengthpetal_widthspecies
05.13.51.40.2setosa
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34.63.11.50.2setosa
45.03.61.40.2setosa
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" + ], + "text/plain": [ + " sepal_length sepal_width petal_length petal_width species\n", + "0 5.1 3.5 1.4 0.2 setosa\n", + "1 4.9 3.0 1.4 0.2 setosa\n", + "2 4.7 3.2 1.3 0.2 setosa\n", + "3 4.6 3.1 1.5 0.2 setosa\n", + "4 5.0 3.6 1.4 0.2 setosa" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df = sns.load_dataset(\"iris\")\n", + "df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [], + "source": [ + "# only take petal length and petal width\n", + "X = torch.from_numpy(\n", + " df[df.columns[2:4]].values.astype(\"float32\"),\n", + ")\n", + "df[\"species\"] = df[\"species\"].astype(\"category\")\n", + "# encode the species as 0, 1, 2\n", + "y = torch.from_numpy(df[\"species\"].cat.codes.values.copy())" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(X[:, 0], X[:, 1], c=y, cmap=plt.cm.Paired, edgecolors=(0, 0, 0))\n", + "plt.xlabel(\"Feature 1 (Petal length)\")\n", + "_ = plt.ylabel(\"Feature 2 (Petal width)\")" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [], + "source": [ + "kernel = gp.kernels.RBF(input_dim=2)\n", + "pyro.clear_param_store()\n", + "likelihood = gp.likelihoods.MultiClass(num_classes=3)\n", + "# Important -- we need to add latent_shape argument here to the number of classes we have in the data\n", + "model = gp.models.VariationalGP(\n", + " X,\n", + " y,\n", + " kernel,\n", + " likelihood=likelihood,\n", + " whiten=True,\n", + " jitter=1e-03,\n", + " latent_shape=torch.Size([3]),\n", + ")\n", + "num_steps = 1000\n", + "loss = gp.util.train(model, num_steps=num_steps)" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plot_loss(loss)" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Accuracy: 96.00%\n" + ] + } + ], + "source": [ + "mean, var = model(X)\n", + "y_hat = model.likelihood(mean, var)\n", + "\n", + "print(f\"Accuracy: {(y_hat==y).sum()*100/(len(y)) :0.2f}%\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can also calculate the confusion matrix." + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "cm = confusion_matrix(y, y_hat, labels=[0, 1, 2])\n", + "ConfusionMatrixDisplay(cm).plot()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As before, let us plot our predictions over a 2d grid." + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [], + "source": [ + "xs = torch.linspace(X[:, 0].min() - 0.5, X[:, 0].max() + 0.5, steps=100)\n", + "ys = torch.linspace(X[:, 1].min() - 0.5, X[:, 1].max() + 0.5, steps=100)\n", + "try:\n", + " # torch 1.10 or greater defaults to using indexing\n", + " xx, yy = torch.meshgrid(xs, ys, indexing=\"xy\")\n", + "except:\n", + " xx, yy = torch.meshgrid(xs, ys)\n", + " xx = xx.t()\n", + " yy = yy.t()\n", + "\n", + "\n", + "with torch.no_grad():\n", + " mean, var = model(torch.vstack((xx.ravel(), yy.ravel())).t())\n", + " Z = model.likelihood(mean, var)" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [], + "source": [ + "def plot_pred_2d(arr, xx, yy, contour=False, ax=None, title=None):\n", + " if ax is None:\n", + " fig, ax = plt.subplots()\n", + " image = ax.imshow(\n", + " arr,\n", + " interpolation=\"nearest\",\n", + " extent=(xx.min(), xx.max(), yy.min(), yy.max()),\n", + " aspect=\"equal\",\n", + " origin=\"lower\",\n", + " cmap=plt.cm.PuOr_r,\n", + " )\n", + " if contour:\n", + " contours = ax.contour(\n", + " xx,\n", + " yy,\n", + " torch.sigmoid(mean).reshape(xx.shape),\n", + " levels=[0.5],\n", + " linewidths=2,\n", + " colors=[\"k\"],\n", + " )\n", + "\n", + " divider = make_axes_locatable(ax)\n", + " cax = divider.append_axes(\"right\", size=\"5%\", pad=0.1)\n", + "\n", + " ax.get_figure().colorbar(image, cax=cax)\n", + " if title:\n", + " ax.set_title(title)" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(ncols=3, figsize=(16, 4))\n", + "for cl in [0, 1, 2]:\n", + " plot_pred_2d(\n", + " mean[cl, :].reshape(xx.shape), xx, yy, ax=ax[cl], title=f\"f (class {cl})\"\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [], + "source": [ + "p_class = torch.nn.functional.softmax(mean, dim=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(ncols=3, figsize=(16, 4))\n", + "for cl in [0, 1, 2]:\n", + " plot_pred_2d(\n", + " p_class[cl, :].reshape(xx.shape), xx, yy, ax=ax[cl], title=f\" p(class {cl})\"\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plot_pred_2d(Z.reshape(xx.shape), xx, yy, title=\"Prediction\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can see our model doing a good job in classifying the IRIS data based on the two features. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Combining Kernels\n", + "\n", + "We now look into combining different kernels. We will create a simple data set containing a linear trend and some periodicity." + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "X = torch.linspace(-5, 5, 100)\n", + "y = torch.sin(X * 8) + 2 * X + 4 + 0.2 * torch.rand_like(X)\n", + "plt.scatter(X, y)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can clearly see a trend in the data. Let us use a combined kernel as follows:\n", + "\n", + "`Linear + RBF * Periodic`" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "pyro.clear_param_store()\n", + "linear = gp.kernels.Linear(\n", + " input_dim=1,\n", + ")\n", + "periodic = gp.kernels.Periodic(\n", + " input_dim=1, period=torch.tensor(0.5), lengthscale=torch.tensor(4.0)\n", + ")\n", + "rbf = gp.kernels.RBF(\n", + " input_dim=1, lengthscale=torch.tensor(0.5), variance=torch.tensor(0.5)\n", + ")\n", + "k1 = gp.kernels.Product(kern0=rbf, kern1=periodic)\n", + "\n", + "k = gp.kernels.Sum(linear, k1)\n", + "model = gp.models.GPRegression(\n", + " X=X,\n", + " y=y,\n", + " kernel=k,\n", + " jitter=2e-3,\n", + ")\n", + "\n", + "loss = gp.util.train(model)\n", + "plot_loss(loss)" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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GHrv+69Bq5+FdLzLleBFfbmth6zf+E+i502DwdXI76ohqrsUVEUVdZm6/D40INtzbzF5uA32ViZqm1QCc+TOhtwcqpR5SSu1RSu1paGgY4NMKIYZCoHhnwqmD5H/4Jj6dnudu+CrVWVP4OG0av739h7SGRTGu7gTTi7cBPWeLBBcBJe/relzdtHlERZgvOd97OLeZvdyu2CvVNO1JTdMKNU0rjI/v+7w8IcTwFCjeST9TuPPJsts5lj0Nj9+PX9Mo0UexbuEdAExe+yyVZTW0OT14fP6z0hK7+457PSTv6Uo7rClYAFxar/CxbqCBvE4plQxw5s/6gQ9JCDFcxViMhLa3EF+8B79OR+PC61kwIZ6CdCuTkiLISYygbe4SKjKnYOxoY9K65zHodDy3s4yfbTjavf4dKOpJ3bUJs62R9sQ0bONzgdGd7325DDSQvwXcd+bv9wFvDvB6QohhLCcxnLyjO9H5fTTmFuCKikGvUxgNOqamRfOHe2byhXlZbFr+eXw6PQuObmWmq440a9hZ/U5yEsOJMiqy3nkZgBM33AE6/ajP975c+h3IlVIvADuASUqpSqXUA8DPgGVKqVJg2ZmvhRCjVKhBz8wjXYU7B/MXnHcQcbjJQIhehzs9i/LFN6E0jbwX/4Df5cTt9VNa18Zb+6s4XG1n/sndhNsaaIlLpmhc4ajtFX4lXEzWyl293HXtII1FCDHMOY8cwV9agi4ykiVf/Aw2D+dliATWv4+v+BxJ+z8iquIESX/6De8t+SKtDg+/3lhCuAF+8uqzAOxeeCvzJsWTkxAxpjJNBpP8HxNC9IvL6+PE314CwLtkOTnpMT1miATWv32mMHY9+H3cBiMFx3Zy/eH36fT4sYQaWHBqD1EtDbQnpNA8e1F333EJ4pdGSvSFGMUClZPNHW5iLMZ+9T7pSVWLg79sOsbKd9ZjBt5MnoFnw9Eey++Dm1rVR6Vyaun9fPEff2TZ1lfwTWpgUmcdmdWlAOxb/Bmiws1U2jopqWsjPzVqMF72mCOBXIhR6tyGVhpadyOqC/U+CRYo3kk+shdzZxttyZmYp+Thcnh6LN4JbmpVYeukIu0qkgpXccOet7nx2Obuxx0cN4Ojk+eQjqQcDpQEciFGoeDKyTRrWPftLZ3ui66cDBTvLDzUtclZNXsxKEV0mLHXmXSg0nL9oRpeKaqg/pZ72BcRiqOugaqsKZxKn0ytMjPdFAJIyuFASSAXYhQKBN80axhoXYcweDUNt9dPha2T9YdqWDE1qV/LLM0dbowuJwnFuwGoLVjYfV9fM2mjQceKqUkcqGzB79eouuVeth9vDAyHUAWxllBJORwEsrMgxCjUfXya30/BEz/l2n+9k7g//ZbaA4epaO7klaKKswp0+hJjMZJ+rAi9x40tOxdnzKeV2ReaSQc3tKq1O0mJMtPh8tLh8pISZabG7pCUw0EgM3IhRhmX10dzh5vaVgdTP95AwidFAMwp3sKc4i0cTZvCvi/96wVbzAbkJIZTd3gHADVBs/H+zqTPbWgVbuoKO+1O75hrbnW5SCAXYhQJbHDaOtz4ysuZ/s7zALwy93YyOpuY9sl2Jld+gvn9lzhy58P9yhYxtLeRUnoAv9KxL3sGTpvjrI3T/gThQEMrcXlIIBdilAje4My0mvnM7hcw+jzsGFfISxnzSLOG8VHeIr754k/J+OhdDufPpz4ijX1ltl7TEl1eH8fXrEXn9aLNmMVnrruKDqdPZtLDjPwrCDFKBLeGzdzyNvGnjuKMtLL/lgcIM+rJjA0j5+rpHF18M0rTmLHmcSob29hc0tDjenng4Iea198CYHvmDNYeqCE7IXzMtYkd7uRfQohRIrDBqfO4mbDhRQAO3/kw6VlJRJpC8Ps1NDRemHQtjVEJJDdXs/rYJnKTI89qaAWfzu6N9mZSTn2CX2/APfea8x4nhgcJ5EKMEoHS+PjDRYQ4OrCnj6dh6tUYdDpyEsMxGw0cqWml3gVrFt4NwLLd64horD7vSLbA7D73wFaU5qcxdwbesPA+j24TQ0cCuRCjRKA0Pu7jTQDUzFwEdGWXJEWZ+e9bp7J4YgKZMWFY5s2lYvYS9F43U5/9LQ22Dupbnewrs3VnvVhabYz/xxoAyhfd2P08UoU5/EggF2KUCDXoeaAggZSje9GUYt/4wvNazBZkWkmINJEQYeLYZx+kIzoOa1kJ8W89T3lzJx8cree7aw6wv8LGjHV/xeByUnvVHBpzC7qfR6owhx/JWhFiFAnftZ02rwdt2gyWXTP1vOyS4IZW4aYwnl9yHw+8/muWFa3nWEY+NWHjKbd14t31McuOfIzbEELRqvsI5LNIFebwJDNyIUYBl9dHcZWdspdfByD+5pt6bDEbXGl5pKaVPdZstky7Dr3m5+73/8L0YzuZ0VrB53Z0tavdWLCSdxqgvLlTDn4YxmRGLsQQGow2s4EiIHdDI3cf2INfp+cp3Ti+0OLoscthoNLyxV3leLx+qj57H821x4ivK+fOjX/uflxLbDLqc/eQ0dBJQUY0MzKskjs+TEkgF2KInNtm1uv349M0lk5OICchol9BPbgIqODUXnR+P/X5s3Caw/ssvzcadBRkWjlQ2UKcNYx1936PpE1vk9zeiNXegNHRyZ7bvorOaCQmzEdWrEUqM4cxCeRCDIFz28y2Oj3sK7fR5vRypLqVqWnRRIdduHd4cJfD5D0fAlAzc2GfLWYDgtfLtZg4Nlx9C5GmEJweH0rBggnx6JHNzZFAfkcSYgh0V2GaDESWFtO+bRvZ5UcosJdhwocpRNev4ptAEZC5sRbrqaN4jaHUT50NXDhNMHi93OHx4fH6aWxzoRQUZFjR65Rsbo4QMiMXYggEAnDWpreY/MbTzAu6b3/2THZ9/jskxIVfcFYdKAJK2b0ZgLppc/GFds3g+zOTDu5MWFrXxqZjDeh1ilaHF7vDc1GNscTQkUAuxBCIsRgJcbSTfabg5kRyDspgIK32JNNPFtFavJ3TBdd0F+n0tl6ekxhOpMlA0scfAFA9ewlwcWmCgc6E+alRrLwqpbvdrDTGGjkkkAsxBHISwyn8eD3GznZqx03h99d/k0izkbwDH3L7B88we+3TbDanU22MZHNJAyebOnpcLw816PlidDudTXV0RFg5FJ+D39Z5yTNpaTc7MslHrRBXUCDfe1dRKZO3rwdgx9LP4fFpNLa52JM7l+KsaZjcDu7Z9AwxYYYem1oFM77/DgDmG1eyuiCN++eP45EVuRd1wLIY2WRGLsQVEpxuOHfdM8S5nFROKWTOTYvJ7XSz6VgDbU4Pz8y9i0frTjK+6hh3lO+gdtKtPWahuLw+SiuaUG+vQwdk3PlZ8ibG9z0IMSrJjFyIKyA43TDH10bunvfRlOLQ9XextbSBlVel8Mvbp7FkUgIxqYnsvu2rAOS/8wLmpjrg7CyUQK/wTc+8jq6jncbkcfz6uK9fZ3CK0UcCuRBXwNmHPqxF5/NSXXgNKntCd1vYQJFOQqQJ9+wF1BQswOB2MeXlP4KmdWehBH8oXHV4OwANc5dKr/AxTAK5EFdA8Kn2Sfs/Aj5tDRs80w4u0jny2QfxmC3Ef1KE2vwebU4PnW4vbx2oorSujYjTJcR9UoRfp6Nm5iLpFT6GSSAX4goI5HtHnz6GqaUJhzUee+ZE4Ox87+AinZO+ULYu+RwAczc8i669nR+8dohfv1tCY3kt8579JTq/nxPzbsAdGQ1Ir/CxSgK5EFdAYKZt3bUFgNqC+aB6rpwMFOncOyeTg9OuoTp9EpGOVla9+r9MaK0m0qjjwc1/xtph43TSeP561U34/Bog5fRjlQRyIa6AUIOeB+ZnkXFoJwAHzzn04dx8b6NBR4heR7jZyIkvfAO3KYzxVcf41ks/5Qev/Rd59cdpNUfy6k1fo9Ovo6nDJeX0Y5ikHwrRi+AWsxEmAxoa7U7fJbebjTl5hLZWG1piEvNXLsQaHtpn5WRgXb0jKZ0X/+mXZGx8lfmHPyShuRqf0vHnax+kyhBOp8tLRXMnOYkRUk4/RkkgF6IHwTnfDrevewNxYmIEZqO+u3KyP0U3gQ8E9wuvYwaib1zBlEkJF/y+wLp61xexvDX/DvbMWcXMQ1s4EZVC9JzZxCpFha2T22amc+PUZAniY5T8qwtxjuD0vqQoE9V2B5EGmF15kLBDRSRHmfud6hfI935m6wm0LV39UF6JmNSvfO/gDJaYcCOhBh2NxnDenbmSEzkzSIgwYTToyEmMkCA+xsmMXIhzBPf4bqusZslHbzP3yDYiOu0AbIrQo7964QU7EwZ/IOTbyghrb6EzNpGmlOw+D30ICGSwPLX1JLV2JylR5rN+M6ixO6Q7oQAkkAtxnsDatMHRwY2/fwRLewsAreFWItttzH/5Md6JSaTeGNdnZ8KzD304k60yYz7RltALfggEBLeZtXW4CTd1/ci2O73SnVB0G5RArpQ6DbQBPsCraVrhYFxXiKEQWJtO2/EelvYWqmNSeffaeylLnciqtY9TeGIP85/+H7bc9K9sNuh77UwY+EDQuxykFHWd3lM9azFwcfne0pFQXMhgfpQv0TRtugRxMdLlJIYTZdSRvuktADbOu5VjiRPo9Pj4w6w7qYzPJLatkYc/fJrcREuv6+WBD4TkPVsxOB3YsnNpT8kEJN9bDC75nUyIc4Qa9HzBewpLSyP22CRap82mw+XF1uFGZzLx5+sfpi0skgmVR8n8+P1eS+MDm5UpWzcAUDH/euDiDn0Qoj8GK5BrwD+UUkVKqYd6eoBS6iGl1B6l1J6GhoZBelohLpM1LwAQce/nuevqLH5x+zS+tCCb7DgL46aMo/SOrrf5xLf+RkhHa49LJaEGPffHO4mpOonTbGFvVkGfRUBCXKrB2uycr2latVIqAdiolDqqadqHwQ/QNO1J4EmAwsJCbZCeV4hB5fL6KP1gB/oDB9AiIsm+53byIrtmziF6HYer7SREmKgvWEDT9neJLT1E2mvPsnPR3TR1uHF5fYQa9J/mjj//EmbAcMNKVs3Kkg1KcVkMyrtJ07TqM3/WA68DswfjukJcSYGc77I/PgXAgelL+PmW8u6c7+C8bpRi9+ov4dPpydn1HoYTJWwpaeBnG45SVGbjZxuO8tz7hzFs/gcAG8fPIzshnPzUKAniYtAN+B2llLIopSICfweWA8UDva4QV1Ig59vY0sS4T3bj1xuwXX/zWRuZwZ0Jy5o6WNdqYvOUxejQeLDoVVIjDNS2OPjnF/dRb3dSeGwHIW4XzRPysMenSq9wcdkMxtQgEdimlDoA7ALWaZr2ziBcV4grJpDzPfHYHpTmpyFvJq6o2PM2MgN53YsnJZAUZaL+M/fijLQSW17CpF//iLKyWpo63ERv3sDk1/4CQPmCG6RXuLisBrxGrmnaSWDaIIxFiEsS3NzqUhtaBXK+k/Z1nbhTO2N+933nbmQaDTpiLEaSIs1YrWb2PPB9pj3xn0yoPML33/o5RYmTuaF0KwCbC26gY/oC9D1cR4jBIpWdYkQLbm6lUGhoF9XQKiDGYsTU1oz15BF8hhDq82d139dTzndwQ6uTcVl88Nkf8NC7fyCpoYIbWhvwKR3rrv08myfMY3qnm4QIk+SOi8tGdl3EiBXcyyTNGkaq1UyaNeySzq7MSQwnt7QIpWk05hbgM4UBved8B298Ojw+WsJj+Msdj7AvZzbN5iieXvUN9k69BgCn2ye54+KykkAuRqzgA41DOlpJKtqKzu0i3GSgrKmDF3eVU1xlx+X1XfBaoQY9s8r2AfDJxEKqbI4+c76DNz5bnR463F4afXpevuHLvPmDJziRlU/rmTM2W51eyR0Xl5UsrYgRyeX1sbfMRl2rk/imahY993PCmupoyJrMH5Y/TLXXgMfr50BlywWXWlxeH6WfnEa3fx+EhDDn3puZqjddMOc7sPF5uNrOE5tPEGLQkRVrQa9TJESaOd3Yjtvn5+HFE8hLkbRDcfnIO0uMOIF8780l9VgOFbH88X8nrKkOTSniTx/ly6/9kkRfJ2kxYRdcaglca+dfX0VpGuXZU1l7vLXfOd9Gg44ZGVZ+tDqP+IhQauwOqmwOauwO4iNNPLo6nxkZVgni4rKSd5cYUYLXxZfUf8I3/vEHzG4HB8fP5L/veJT6qERSGiv4+pu/IsXbAdBr6l/wtXKP7QbAPnvRJa2xB2bn988fx83TU7h//jgeWZF7URuuQlwqCeRiROleFzeHMHn939Frfj6csZy/LnuQkhAr/7X8m1THpZHQUstVLz/e/X09pf4FrpXoacN64jB+g4H6qbMvOec70G524cR4qeAUV5S808SIEsj3jj51lPDaSlwR0bR//iGmpceQGh1GWFICn3zrp3hMYSQU7ybm0G7qW53Utjq6e6Gce62MD9ejNI36vFl4zRZAcr7FyCKBXIwonx76sBGAqquXogsJISHSRGachYwYC43GcE6suBOA7JefpOhEPbV2Z3cvlEDvlBiLEb3LQfq2rkLk00tv7n4eyfkWI4kEcjGi5CSGE6M8JBVtA6By7jKgK9/bajHynWUT0ekUW/MWUxudRFxLPdcf28KiifFkxJy98ZmTGM5VxVsxdrZjGzeJluzc7mtJzrcYSSSQixEjUIo/9/ReDB4X1Vm5lIZYz8r3zoqz8MiKXBblpfDBdfcAsHzP28S5WoFPNz4PV9sprW4h/6P1AOy++sYL5o4LMVxJHrkYEYJL8W9+Zy0Ah2csYX5OLDkJEWflewd6oTiumkXdsatJPPQxU5/9LUUP/wjNEILD7eOJzSeYenw31zbUYo9J5EROAUt6uJYQI4G8W8Wwd1aaYEcd8VUn8JgttMycx8FKe4+BN7CWfuS2L+OKiCau5CB5z/2OmuYO9le00On2MHNn12y8ctmtWMNNvV5LiOFO3rFi2AsuxU/b2bXJWT1rMRFREb2mCQZ6odSaoih6+Ed4Qk2kFX1Iyst/Jr9kF/c8+xOiy4/jskRSNXuptJkVI5oEcnHZubw+iqvsfFjS0O/eJ8ECaYLK5yNpb9cmZ9Wca4He0wSDe6EcCkviyaVfxqd0XH/4ff55x7Nk1p+mwxTOmkV34zEY+7yWEMOdrJGLy2ow2swGlkmsxw8T2manIz6F1rRsoO80wUC15fpDNbzSXsCO8IeZ9+rjNEXE8fHM6zkwZR5NXh3TO1zSZlaMaBLIxWUTvLadYdHjN4TgBcoaO/jxW8U8vHgCU1IiL3gIRGCZJGZ313netQXzQal+pQkGHwLRvmg5GwvmsKWqEz86TCF68HqkzawY8WRpRVwWLq+PDYdqKa1rI6zqNIv/35dY8OOv0rjxA040dnCsto3HPjh+VoFOb0INeh6Ym0Fa8ccAHBhfeFFpgsGHQGjhkUzPjEUppM2sGDVkRi4GXWA5pbSujYbaJuas/QXGznaMne188e3/4+j4GayZczuRJmt3gc4jK3J7DKKB3PG2bduJ7mjFn57JouvnYA0P7XeGSfAhENFhRiJNISyYEC9tZsWoIe9cMaiCl1PSo818afvfSbDXUxWTyt9n3IwrJJTJJ/bx9Td+Qbjm7jNbJNBi9untp6h7ax0ARybNJjsx4qKaUgVvfFbaOqXNrBh1ZEYuBlUgVTDNGkbGxleZcmofDqOZp5d/hWIiOXnVfO5f/xhpDeVcveU1ti+7h/pWJ/vKbGcdmnzWB0KkkXFHutrMlk2dy+E+ZvC9CWx8ltS1YetwX/DQCCFGEnkXi0EVSBW01FYy+e3nAFiz7EtUhcfh9WtU6Cy8vvQLaEqRteVt6g4cpry5k83nNLQKzh2PPXYQY2cbbUnp6LLHX3K+t7SZFaOVvJPFoApsLKbu+gCd30/l1UuJXb6M2ZkxRJlDyIoLI3POTHbmX4Ne83PbthewhoWQmxx5VkOrwAcCQHLRVgBqCxYAku8txLkkkItBlZMYTmSonsRdmwGomnMdep3CbNQzPyeO7LhwjtW18vJVK2kzRTCuupRbGg+h16mz1ssDHwjmxlqSiz5EU4qamQsBaTErxLkkkItBFWrQ88UIOxZ7E23RcRRbs7pTBb993UR+uHIKiycmEJ8cx4FVnwdg+tvPYmy1AZ/OtgOZJplv/g2dz0v1rMV0JqRKvrcQPZBALgadcdO7AFhWrOTmgrSzzq80GnQUZFpJiDTRvmg5TROvIrTdztRnf0N9Sye1rQ7qWp0crrZT6Gkga/82fHoD2xZ8RlrMCtELyVoRg8rvctH6Tlcgn3DPbYROiD/vMd153Q4PB7/wbeb+f98m/tgBIte+TEX+dTy+5QQK+O77fwDg0KxlTJs1WVrMCtEL+YkQg8bl9fHJ6xvwt7WhTZgIWeN6fFxwXneJ18QzC+4F4KY9b5LXfJo43MyqOkTmyUN4TGGcXH67tJgVog8yIx/jApWTzR1uYizGs3K5L0agmnP2S6+RBXw8fjZrNhzttTnW2Q2tZnG4YyV529bxjTd+cdbjDi1aTVh8LJW2Tkrq2shPjbrEVyrE6CWBfAw7tzOh1+/Hp2ksnZxATkJEv4N6oHjH0N5KRuk+NKVwLFx6wfL74IZWlZ+9n+jKUySXHcEdYsJtNFFlTWFf4fWkIimHQvRFAvkYFVw5mWYNo9XpYV+5jTanlyPVrUxNiyY6rH/tZgPFO3OOFaHzemmceBWuqFii4YIz6UCaoWYI4f0vP8r+ChuR5q7UwlaHh+nhYYCkHArRF1lwHKOCKyfNlaewvPES2RVHSDFqhOh1mEJ0ZxXo9CVQvJNctAWAmlmLu++70Ew6uKFVTLiR0BA9To8Pp8dHaIiOWEuopBwKcQEyIx+jAsFX53ZR+MRPsdibAPArxenE8ey485tEj8/s19p0jMWI2d5IzPHD+Awh1E2b033fhWbSgY3Pp7aepNbuJCXK3F1+PzExghq7o/sgCtnoFKJnEsjHqMCSRvbGV7HYm2iKiMUZFklSQznZtccxvf0nDn7zp/1am85JDGfKsV0oTaMhvxCv2QLQ75n0uQ2twk1db8t2p1eaWwnRDxLIxyCX14fH50fV1pD13msAPH/tl2gal4uhpZnvvPAoKccPcXrTOxSNv5qmDjcur6/Xjc9Qg56Ckl34geLJc6iyOc460q0/QTjQ0EoIcfEkkI8xwZkqiz94AYPXw+7xszgcMw5Dm4uI8Ch2r/oi17zye6av+yvrbstkS4SJA5UtPW58urw+SncdQl9yFM0Szvx7b2K63yAzaSGuIPkpG0OCM1Wuqj/OhKO78RpDObzqXjJizeSmRJARY+GV6DyK0/MJczv42oHXyLCae9z4DBz8cOCvawAomVTI2iPNZCeES5tYIa6gQflJU0rdoJQ6ppQ6rpT6/mBcUwy+4EyViWufBeDk8ttJmpBFQoSJBxZks3RyAknRZo7e9TCeUDOph3eTtG/7eSf5dH8o+PxMOvwRAPZ5S/ud6SKEGDwDDuRKKT3we2AFMAW4Syk1ZaDXFYMvkKkS1lBDdFkpXpOZ00tWA11pgu1Ob3eBTnh6GiW3fBGA3DVPEtLRetbGZ+BDIavuJJbGWpyRVppz8vs8uk0IcXkMxox8NnBc07STmqa5gReBmwfhumKQBTJVkvZ2HdRQN/Vq/MZQ4NM0weAT5yvmLad5Qj6h7XayXvoTta0OmjrctDk97C2z0WBrZ+KLTwBQPXsJ6Lo2Q6UKU4grazACeSpQEfR15ZnbzqKUekgptUcptaehoWEQnlZcrEDxTcKes0/cCU4TDC7QQadj52e+gkcfwvh9H2ItLmJDcQ2f++MO3jlcy9RNrxFTc5qmyHj2L761+3mkClOIK2swArnq4TbtvBs07UlN0wo1TSuMjz+/tam4/EINeu5Pg+jaclwmCwcTJ5/X4zu4M2FZUwcbbAbWFawC4L6dL9JZU4tf04guL2XFgXfxo1hz3RfZXefE59ekClOIITAY6YeVQHrQ12lA9SBcV1wG5m2b6ABCFi/hpsKMHtMEgzsTNra7aFt9O/aaA0RVnuT7T/8bZWmTiLA3odf8fDhjOSWJE+jscHOkppWM2DCpwhTiChuMQL4byFFKjQOqgDuBuwfhuoLBazPr8voorW1De3MtBiDl1pvIm9j7b0bBnQnjo83sf+B7ZL7wR9KOH2BcxVEAbHGpdNzzINNdGpW2ThZPjOdzszMkiAtxhQ04kGua5lVKfR14F9ADf9E07fCARyYGrc1s4DqGU8f5TGU5jrAI/s8WxQMtjj47GwZvfDrikvjwvu9x9EQ1s6qKSSovoe76WzGFhpIQCm6fnxmZVgniQgyBQans1DRtPbB+MK4luvTUZnZ/WRP6pkYer7SRlxHbrzazwdeZdnwPAA0z5uFT+j57hcPZnQmjw4zEhBvRLOF8OG4WpolzWDCua0Yv6+JCDC0p0R+mAnna6REhZK1/gZADe1ndUI7J4+RIej67v/LDCx7cEHydtGgzyXu3AV3ZKtFhxgt2NgzuTFhp6+xqVRtloqypk+QoM7V250X3VBFCDD4J5MNUoHgn+73XyNnwYvftfqXIrSjG/sHrlFz7WSpsnaw/VMOKqUk9LrMErmM98QlhjbU4o2NpnpAH9C/f+9zOhFaLkaxYC6ebOrq/lp4qQgwtCeTDVIzFiN7lIHPTWgDWLLqHssmFJDWUc+/rv2HWplfYHZlJRUwWrxRV9NrUKrDOnbrzPQCqZn1auNPffO+eOhNKp0Ihhg+ZRg1TOYnhTD+wCWNnG/UZE9kxZSHtligOpuSyNu869Jqf+957inifk/SYsF57nOQkhhOj85K4bzsAVXOuBWRdW4jRRAL5MOTy+iitaCJ/29sA7Jl/Ex6fRmObC5fXz3tzbqEieTyR7TY+t/U5Yi2hPfY4CaQuzinfT4jbRU3GJEpDrOcVAQkhRjZZWhlmAqmCqVvWM7+lmcbETE7nzODuDCv7K+w0tbuotPl4eumD/NvLPyb/5D5cnxTRkF941pp3cOriqnfXAXBk+iLm58SSkxAh69pCjCLykzyMBFIFNY+Hgo+6ZuOVN95BjCWUCpuD/751KrcXppMeE0ZWXjYnV3bVXU1+5UmamlrPamoVSDmc6LWTVHYUrzGU5sKFHKy0SxAXYpSRn+ZhJJAqOPnYHszN9bQnpFI7fW73ssnppg5WTE0iJzECo15HxeKVtCRlYGmqw/rWi9TanWwpaeAHrx+i1u4kOsxI6sfvA1A3fT7h1ihpMSvEKCSBfBgJpAomF30IQPmilee1hg1uanW6xcUzhbcBsOzAu6yI8ZESbaLe7mB/hY3WiipSP9oIQOWZTU5pMSvE6COBfBiJsRgxODuIO7oPTSlqZ8zrvi84VTCQ2714UgIdk6dyYsZCQnxeZr/wOw7tL6Gu3Q22FhY++RNMbS00Zk7CNn7KedcRQowOstk5SAajuVVOYjiTTh1A5/XSPCEPd6QV6DlVMLipVdltD5J6/BBx5SV8+/kf8+7CO5hW9B7JLbXUxqTy5PKHmYmiTVIOhRiVJJAPgnObWwWXrffVB+VcoQY9C6oO4gWOTppFlc3RZwl8oNjHHRnN2q/9jLwXHmNKeTG3vPcMAA2R8Ty+6lvU+UIIkxazQoxaEsgH6NzmVgEtne4L9kE5l6+9Hd/Oj0Aprv7CZ5lojuqzBD64qZXdHMlTK77O4hM7uX7LCzhCLez/1n8y3hRNqLSYFWJUk0A+AC6vjw2HaimtayM9JgxdawuhbhdtMfG4vf4L9kE591rHX9+Azu1Gy59GTt64C35PcFOrVqeHDo+PzRPmUjR+JtMyYgiLDCcBaTErxGgngfwSBZZTSuvaqGxsZ8qOd7hm1xuE+Dz87cavcSB9Kp0ub599UM691uzX1pIF7MyYzpoNR/u1NBPY+DxcbeeJzScIMejIirWg13WdwCel+EKMfjJFuwTByylTXY08sv5X3Lr9JUI9LnR+P3dv+CP5TacIMxr67IMSfC2do5P04wcAcM69ps/vOZfRoGNGhpUfrc4jPiKUGruDKptDSvGFGCNkRn4JAoU7GRY91zz9n4S227Fbonl94V2kle7nuhM7uOvN3/HHz/wrsZZE9DrVa+/vwLUKTx5A73FjGzcZV3Qs0XDBfuHn6qnlrFRxCjH6SSC/BIHCnaR92wltt9OSnMlvVn+XGreiJXwCMV4HBWX7+cq637Fj6m9xR0T3WogTuFb69n8AUDNzYfd9l1K801PLWSHE6CZTtUsQSPvL2Np1ul3FktXMnpLOlOQozOYQtt/5DZqzczG32shZ+zeg90KcGIuRqPpyYksP4TWaqJ69pPs+Kd4RQvSHBPJLkJMYTmZjGdFlpXjMFmpmLkSvU8RHhBIXHkqsNZLie76BX28gbef7tO3fT5vTg8fnx+X1nXet6Xu6Dn2onr0Er9kCyCalEKL/JJBfpEAF56yDm4Gu1rAVHX4qbZ2EGHT89JapGPSKkhAr+2bfgNI0Ctc+g0HBczvL+NmGo1S1OLqvZ+jsYML+rt4qu6YvlU1KIcRFkzXyixBIE3Q227h7W1dXwUMzrz2vx/fU1CgOV9v5s301kw9tY1z9Ka4pK6L66qXdhUL/smwip5s6cTz/HOFOJ6GzZ3PrrQtlk1IIcdEkUvRTcMrhrKM7MHg9NE6ejj4987we30aDjhC9jtCoCE7c+kUAJr35V0I6WokOM1Jrd/CD14t5eusJfK+/AsD7uYuxWowsnBhPfmqUBHEhRL9JtOinQJpgtDmEjG3vAFC+YEWPR6zBp9ko1YXXYBs3mdC2Fgofe5Sm6gYOVNiptzuZcXofUc21OKzxVE0q6HfeuBBCBJNA3k+BwBxVVoqloRpnpJWG/FlAz2mCgcwWdDr2f+nfaItLIqryJAuf/DGGpnoWbHyOGc/8CoCyRTcSFWGWQx+EEJdkzKyRD7TNbCAwJ+3vOo2+bsY8NH3X9/eUJhjc0Co80spjN32HB1/7JRlNFTy+7qfoNA2f0rG54AY6r1mNDjn0QQhxacZEIB+MNrM5ieFEmgwk7O0K5LXT5wO9pwkGN7Q6UtPKaWXhDzd9h4fX/poEez21cWm8ufxLHItMZbrTS0KIQfLGhRCXZNQH8uBNyoxwA/6QrkB5sW1mQw167o9z0mFroCMimmJrFpqts9de4fBpyfyLu8rxeP2kxcRRNPmX1O/cRUl6HiGmUHB4cLp9kjcuhLhkozaQB5ZS9pbZKG/q5MYjHzB57bPUFC7mwO0P4faqi2ozCxC6fRMdgPna67i5IK1faYJGg46CTCsHKltIiDABJszXLMZfbqPV6aHT7aXV6SXaYpS8cSHEJRmVgTx4KaW+1Un6jo1M2f48AKm7PkB3ooSnr/8KFaaYfrWZdXl9lNa2wdr16IHUW1aRNzG+3+MJXi+PDjMSaQphwYR4Tje24/b5eXjxBPJSJOVQCHFpRl3kOPfEnnlVh7jnoxcA+GDmChqiE0luquQ7r/43UxtPXrDNbFWLg59tOMraNe+jr6+lMzya39WZz6rOvJDAernuTBfEKpuDGruD+EgTj67OZ0aGHPoghLh0o25GHsj3TrOGEX3yCLNe/h06TWPj7NW8NvUG1k65ji/veJ4px4u4a/MzfLxwNspk7LFlbPCHwlUn9gLQMGMePnQXfYybtJgVQlwuoy6KBPK9Aca/uwa9z8vxudfzwexVdLg8NGsh/GXpA9TEphHT2sSED94Aek79Cy4CStr/EQC1BQt6LQK6kECLWaneFEIMplEXSQL53qH2JuKO7MOvN1C2+l4W5CSQFWchxWrmqqxYTt/9MADZ771KR1k5ta0OmjrcZ3UnDHwoxB3ZR1hjLc5IK7bsyYDkfAshho9RF8gDG4vW7R+gND/1+bPwhEfS5vSQmxzFtLRojHod9on5lE+fj97jJvvVv1Brd7KlpOGs7oQxFiOa5mfChhcBOL1kNeh6LwISQoihMOoCeahBzwMLxjGuaDMAB/MWdLeF/co143nomvHodIqypg7+lLsSl8HIjFP7uI0aMs7Z+MxJDGdC5VGiTx/DbYmgYuEKQHqFCyGGlwEFcqXUfyilqpRS+8/8d+NgDexSuLw+iqvslH+0h6j6SrRoKwW3reD++eN4ZEUuqdHm7k3HxZMSMKUmc3jpZwCYveb3GNtaute/D1fbu/qOb30dgP1zbqS8E+kVLoQYdgYja+U3mqb9chCuMyDBuePz3n4VK1AydT6zUqLPyw83GnTEWIwkRZppWHEbttJ9WE8dY9qf/4f19/2Q8iYH//POUQpsp7jp6CGcJgsHZl3HwnP6jgshxHAwKqLRuWX4E4q7MkxOzlzca354YFNUM4Sw/4Hv4YiIJvbEJ2S8/BRHa9tor6gm/92utfGKpauJsEaf13dcCCGGg8GISF9XSh1USv1FKWXt7UFKqYeUUnuUUnsaGhoG4Wk/1Z0mGGYkvng3xs527GnZqPE5vaYJBldbdkRYeeb6r+DV6bmmeBO/X/sTfrHm3xlXXYrTaObkwpWXnHIohBCX2wUDuVLqPaVUcQ//3Qw8DowHpgM1wK96u46maU9qmlaoaVphfHz/y9v7Izh3PGX3ZgCqr17aNf5e0gSDqy2P1LSyPzKD1xfcCUB8pw2X0URpVj5/vv5h6rSQPq8lhBBD6YJr5JqmXdefCyml/gS8PeARXYLAMomhs534T/aiKR01BQuAvtMEz+1O6LhhNesnTuCozU17WjZ+nZ5Wh4fJbt8FryWEEENloFkryUFf3goUD2w4lyawTBKxezs6n5emnHzckdZ+pQkGuhMmRJpIiDDhnzqdhpRsOj+tC8Jk1EvKoRBi2BroGvnPlVKHlFIHgSXAPw/CmC5aYJkk82DXoQ9HcudcVJpg8Hq5QadjRoYVpaCx3YXH58fp8UvKoRBi2BpQ+qGmaZ8frIEMVKKvk9YTxWh6PVPuWM28pLh+Z5gEn+ZTaetEoRgXa8GraSydnCAph0KIYW3Edz8MHCDRueY1Inw+LIsWMWXm+Iu+jnQnFEKMVCM6kAcXAa18ZwMRwAcp01ne4uj3WZzBAt0JhRBiJBmx083gIqDxykFS2VF8hhAqc2f2WgQkhBCj0YgN5MFFQEn7tqM0jYa8QsJjoqVwRwgxpoyYpZXAWnhzh5sYi5G6VicKhd7lJGvTWwDUzFwISOGOEGJsGRGBPHgtXKHQ0HD7/Hh9Gtnb3sBsa8CePp66aXMAKdwRQowtwz6Qn3uYMoDX7+dkfTsNR46T9f4bABy5/SHQSeGOEGLsGfaBPPgwZeXzYvdo7Cu34fL4uP/jl9H7vOyYOJc9YamYbZ1EmkOkcEcIMaYM+0Ae3BCr8P/+HyE1VRRGJ+KwRJJXdQSXKYwjq+7F6/dz75xs8lLkUGMhxNgy7AN5oCEWQGhTPeGddiI77d3371/2OVLGpeG3dRKi10kQF0KMOcM+kAf3Qfn7N39L/fEyspxNRDVUo+l0GJauQo9kqgghxq5hH8iD+6C0un1UmqKxRcYRmppLQYaVUEPXS5BMFSHEWDXsAzl82gflcLWdJzafIMSgIyvWgl7XtXYumSpCiLFsxCwoGw1d7WV/tDqP+IhQauwOqmwOOdVeCDHmjYgZeTDpUiiEEGcbcYEcpEuhEEIEk2msEEKMcBLIhRBihJNALoQQI5wEciGEGOGUpmlX/kmVagDKrvgTD1wc0DjUg7iCxtrrBXnNY8VIfc2ZmqbFn3vjkATykUoptUfTtMKhHseVMtZeL8hrHitG22uWpRUhhBjhJJALIcQIJ4H84jw51AO4wsba6wV5zWPFqHrNskYuhBAjnMzIhRBihJNALoQQI5wE8kuglPquUkpTSsUN9VguN6XUL5RSR5VSB5VSryulood6TJeLUuoGpdQxpdRxpdT3h3o8l5tSKl0ptUkpdUQpdVgp9a2hHtOVoJTSK6X2KaXeHuqxDBYJ5BdJKZUOLAPKh3osV8hGIF/TtKuAEuCRIR7PZaGU0gO/B1YAU4C7lFJThnZUl50X+BdN03KBOcA/jYHXDPAt4MhQD2IwSSC/eL8B/g0YE7vEmqb9Q9M075kvdwJpQzmey2g2cFzTtJOaprmBF4Gbh3hMl5WmaTWapu098/c2uoJb6tCO6vJSSqUBK4Gnhnosg0kC+UVQSq0GqjRNOzDUYxkiXwI2DPUgLpNUoCLo60pGeVALppTKAmYAHw/xUC6339I1EfMP8TgG1Yg8WOJyUkq9ByT1cNcPgR8Ay6/siC6/vl6zpmlvnnnMD+n6VfzvV3JsV5Dq4bYx8VuXUioceBX4tqZprUM9nstFKbUKqNc0rUgptXiIhzOoJJCfQ9O063q6XSk1FRgHHFBKQdcSw16l1GxN02qv4BAHXW+vOUApdR+wCrhWG72FB5VAetDXaUD1EI3lilFKhdAVxP+uadprQz2ey2w+sFopdSNgAiKVUs9pmnbvEI9rwKQg6BIppU4DhZqmjcQOav2mlLoB+DVwjaZpDUM9nstFKWWgazP3WqAK2A3crWna4SEd2GWkumYkfwWaNU379hAP54o6MyP/rqZpq4Z4KINC1sjFhTwGRAAblVL7lVJPDPWALoczG7pfB96la9Pv5dEcxM+YD3weWHrm33b/mdmqGGFkRi6EECOczMiFEGKEk0AuhBAjnARyIYQY4SSQCyHECCeBXAghRjgJ5EIIMcJJIBdCiBHu/wcr40StRC7hBgAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(X, y, s=50, alpha=0.5)\n", + "\n", + "with torch.no_grad():\n", + " mean, var = model(X)\n", + "_ = plt.plot(X, mean, color=\"C3\", lw=2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can see that our combination of kernel does a fairly good job in learning the inherent trend and periodicity in the data. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "That's all there is to it. For more details on the `pyro.contrib.gp` module see the [docs](http://docs.pyro.ai/en/dev/contrib/gp.html). For an example on binary classification see [here](https://prog-ml.github.io/notebooks/gaussian_processes/pyro-binary-classification.html), for an example on deep kernel learning see [here](https://prog-ml.github.io/notebooks/gaussian_processes/pyro-deep-gp.html), and for an advanced example for GP classification using deep kernel learning see [here](https://github.com/pyro-ppl/pyro/blob/dev/examples/contrib/gp/sv-dkl.py)." ] }, { @@ -743,7 +1495,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -757,7 +1509,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.7" + "version": "3.9.7" }, "varInspector": { "cols": {