{ "cells": [ { "cell_type": "markdown", "metadata": { "id": "colab-badge" }, "source": [ "[![Open In Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/seap-udea/multimin/blob/master/examples/multimin_mog_quickstart.ipynb)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

\n", "\n", "# Mixture of Gaussians (MoG): quickstart\n", "\n", "This notebook gives a short introduction to **MultiMin**: fitting and visualizing **Mixture of Gaussianss (MoG)**." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Installation and importing\n", "\n", "If you're running this in Google Colab or need to install the package, uncomment and run the following cell:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:17:28.360637Z", "iopub.status.busy": "2026-02-15T18:17:28.360493Z", "iopub.status.idle": "2026-02-15T18:17:28.792498Z", "shell.execute_reply": "2026-02-15T18:17:28.791957Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Not running in Colab, skipping installation\n" ] } ], "source": [ "try:\n", " from google.colab import drive\n", " %pip install -Uq multimin\n", "except ImportError:\n", " print(\"Not running in Colab, skipping installation\")\n", " %load_ext autoreload\n", " %autoreload 2\n", "!mkdir -p gallery/\n", "\n", "# Uncomment to install from GitHub (development version)\n", "# !pip install git+https://github.com/seap-udea/MultiMin.git" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:17:28.794013Z", "iopub.status.busy": "2026-02-15T18:17:28.793930Z", "iopub.status.idle": "2026-02-15T18:17:31.166782Z", "shell.execute_reply": "2026-02-15T18:17:31.165753Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Welcome to MultiMin v0.11.2. \u00a1Al infinito y m\u00e1s all\u00e1!\n" ] } ], "source": [ "import multimin as mn\n", "mn.show_watermark = True\n", "\n", "import matplotlib.pyplot as plt\n", "import plotly.graph_objects as go\n", "\n", "import numpy as np\n", "np.random.seed(1)\n", "deg = np.pi/180\n", "\n", "import warnings\n", "warnings.filterwarnings(\"ignore\")\n", "\n", "figprefix = \"quickstart\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Distribution basics\n", "\n", "Below we define and visualize MoGs before using them for fitting." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Simple gaussians: univariate normal distributions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The simplest case is a mixture of univariate normals. Here we create a MoG with two Gaussian components:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:17:31.183218Z", "iopub.status.busy": "2026-02-15T18:17:31.182784Z", "iopub.status.idle": "2026-02-15T18:17:31.235630Z", "shell.execute_reply": "2026-02-15T18:17:31.234595Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Composition of ngauss = 2 gaussian multivariates of nvars = 1 random variables:\n", " Weights: [0.5, 0.5]\n", " Number of variables: 1\n", " Averages (\u03bc): [[0.0], [2.5]]\n", " Standard deviations (\u03c3): [[1.0], [0.5]]\n", " Correlation coefficients (\u03c1): [[], []]\n", "\n", " Covariant matrices (\u03a3): \n", " [[[1.0]], [[0.25]]]\n", " Flatten parameters: \n", " With covariance matrix (6):\n", " [p1,p2,\u03bc1_1,\u03bc2_1,\u03a31_11,\u03a32_11]\n", " [0.5, 0.5, 0.0, 2.5, 1.0, 0.25]\n", " With std. and correlations (6):\n", " [p1,p2,\u03bc1_1,\u03bc2_1,\u03c31_1,\u03c32_1]\n", " [0.5, 0.5, 0.0, 2.5, 1.0, 0.5]\n" ] } ], "source": [ "MoG = mn.MixtureOfGaussians(\n", " mus=[0.0, 2.5],\n", " Sigmas=[1.0, 0.25],\n", " weights=[0.5, 0.5]\n", ")\n", "print(MoG)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now plot only the PDF (no sample):" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:17:31.243168Z", "iopub.status.busy": "2026-02-15T18:17:31.242486Z", "iopub.status.idle": "2026-02-15T18:17:31.437053Z", "shell.execute_reply": "2026-02-15T18:17:31.436571Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G_pdf = MoG.plot_pdf(\n", " properties=[\"x\"],\n", " figsize=3\n", ")\n", "G_pdf.fig.savefig(f\"gallery/{figprefix}_univariate_pdf.png\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can plot a sample from the distribution:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:17:31.439432Z", "iopub.status.busy": "2026-02-15T18:17:31.439326Z", "iopub.status.idle": "2026-02-15T18:17:32.453102Z", "shell.execute_reply": "2026-02-15T18:17:32.451966Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MixtureOfGaussians.rvs executed in 0.8224821090698242 seconds\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = MoG.plot_sample(\n", " properties=[\"x\"],\n", " sargs=dict(s=0.5, alpha=0.5),\n", " figsize=3\n", ")\n", "plt.savefig(f'gallery/{figprefix}_univariate_sample_hist.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Multivariate normal distributions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Create a **Composed Multivariate Normal** (MoG) with one component:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:17:32.468220Z", "iopub.status.busy": "2026-02-15T18:17:32.468064Z", "iopub.status.idle": "2026-02-15T18:17:32.880029Z", "shell.execute_reply": "2026-02-15T18:17:32.875780Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Composition of ngauss = 1 gaussian multivariates of nvars = 2 random variables:\n", " Weights: [1.0]\n", " Number of variables: 2\n", " Averages (\u03bc): [[0.0, 0.0]]\n", " Standard deviations (\u03c3): [[1.0, 1.0]]\n", " Correlation coefficients (\u03c1): [[0.0]]\n", "\n", " Covariant matrices (\u03a3): \n", " [[[1.0, 0.0], [0.0, 1.0]]]\n", " Flatten parameters: \n", " With covariance matrix (6):\n", " [p1,\u03bc1_1,\u03bc1_2,\u03a31_11,\u03a31_12,\u03a31_22]\n", " [1.0, 0.0, 0.0, 1.0, 0.0, 1.0]\n", " With std. and correlations (6):\n", " [p1,\u03bc1_1,\u03bc1_2,\u03c31_1,\u03c31_2,\u03c11_12]\n", " [1.0, 0.0, 0.0, 1.0, 1.0, 0.0]\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "MoG=mn.MixtureOfGaussians(ngauss=1,nvars=2)\n", "print(MoG)\n", "G = MoG.plot_pdf(\n", " properties=[\"x\", \"y\"],\n", " figsize=3,\n", " grid_size=400,\n", " colorbar=False,\n", " cmap=\"Spectral_r\",\n", " marginals=True,\n", ")\n", "plt.savefig(f'gallery/{figprefix}_multivariate_1gauss_pdf.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Generate a random sample from the MoG:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:17:32.897572Z", "iopub.status.busy": "2026-02-15T18:17:32.896691Z", "iopub.status.idle": "2026-02-15T18:17:33.673863Z", "shell.execute_reply": "2026-02-15T18:17:33.672447Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MixtureOfGaussians.rvs executed in 0.7553939819335938 seconds\n" ] } ], "source": [ "sample = MoG.rvs(10000)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the sample (2D histograms):" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:17:33.691763Z", "iopub.status.busy": "2026-02-15T18:17:33.691478Z", "iopub.status.idle": "2026-02-15T18:17:34.240768Z", "shell.execute_reply": "2026-02-15T18:17:34.240043Z" } }, "outputs": [ { "data": { "image/png": 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+fnjvvfcmPYcFTI5Y8HLdunU8aGJtvuuuu+zdHDJWZDAgAFDXPDl3SSQEgvys5xBCyBxQ0ETsggVMmZmZ/OvOzk7odDps3Lhx9D5ncP311+O3v/0t9u3bR0GToxEIgMgQ60jTsHp8yQFX5dS5ToQQcgUUNBG7e+211/jxtttugzNh5RHY1OHZs2ft3RQyHRYcublS/xBC5gX9uUXs7sMPP+THXbt2wdlER0ejqanJ3s0gE/UP0eo4Qsi8o6CJ2F1RUREftXHGZOoNGzbAYDCgoqLC3k0hYxVWABV11CeEkHlFQROxO5bTNDYp3JnYVvu99dZb9m4KGSstzlrMkhBC5hEFTcSu8vLyeDVwlgTujLZs2cKLXH722Wf2bgoZy0MFqFyoTwgh84qCJmJXthGa22+/3SnfCaFQyItclpaW2rsphBBCFhgFTcSujh8/zgOPlStXOu07waYWu7q6+IgZcRCseKWtzMBUmjuAtq7FbBEhZAmgoInYVXl5OS9q6czY1CLbN+/MmTP2bgqxabhC0MQC3M5e6i9CyJxQ0ETsxmg0oq+vD8nJyU79Ltx55538+Pbbb9u7KWSsEQ0wODz1TSiwFr0khJA5oOKWxG4+/fRTfty6datTvwvp6ekQiUR8qpE4kHIqOUAImV8UNBG7se0zd/fddzv9u+Dv74+qqip7N4OMlRwDuMipTwgh84am54jd5ObmQiKRIDLS+evppKamor+/H3q93t5NITYyCSCXzXwjhJA5oKCJ2E1NTQ2CgoKWxDuwbds2fvzoo4/s3RTCxEUAMuerME8IcWwUNBG70Gg0GB4eRkZGxpJ4B2zJ4Pv377d3UwgT4ANIKPuAEDK/KGgidnH06FF+3LFjx5J4B8LCwvjeeVR2gBBCli76U4zYxYkTJ8aN0DijsrKycd/7+vqiuroa+fn5k8718fHhgRVZxJVzEcGAfJopuvoWQCAEwgPpLSGEzBoFTcQu2LYjcrmcBxPOhrVZqVRi7969Uz6elZU16T52PguyKHBaJB09QIg/gGmCJrEY6OqjoIkQMicUNBG7aG9vd9pVcyzwYQFQd3f3uPvff/99/OIXv8Djjz+OW2+9dfR+di4LsNj5FDQtot4BQK2d+jFWLZyKWxJC5oiCJmIXbGm+M+83x4KfiQHQihUreNDEgqSf//zndmsbuaSuhbqCEDKvKGgidrNr164l1ftubm58Gu78+fP2bgphshIBVyX1BSFk3tDqOWI3Sy1oYqKiotDc3GzvZhBCCFkAFDQRu2AjMuy21KxevZpPPTY2Ntq7KctbWhygoIrfhJD5RUETsYuQkJAlPXr21ltv2bspy5uHChCJ7N0KQsgSQ0ETWVRNTU2je7UtRTt37uTHw4cP27sphBBC5hkFTWRRHTp0iB83b968JHueVQX38PBAUVGRvZuyvB3NA86W2LsVhJAlhoImsqjy8vL4MTs7e8n2fGxsLDo6OuzdjOUtIggI9rN3KwghSwwFTWRR1dTU8KOYVWReotavXw+TyUSjTfYUTkETIWT+UdBEFo3ZbEZvb++S7/E9e/bwIyWDE0LI0kJBE1k0rOijxWJZ8j2+Zs0aCAQCHD161N5NWd45TVUN0z9eVAk0ti1miwghSwAFTWTRvP3228uit4VCId/Ul22nQuy8aW+NdbXmJH5eQHf/YreIEOLkKGgii+bYsWM8oFgOEhMT0dPTw6ckiZ0krbAGTnVTVGhXuUy/mS8hhExjeXyCEYdQUVEBT09PLAespAKbijxx4oS9m7J8uSiA1FigrRuobx3/mIDd2H8IIWT2KGgii8JoNKKvrw/R0dHLosfvvPNOfty3b5+9m7K8sQ17WeDU2glU1gNGE8Dy6hrbAdXS28aHELKwKGgii+LTTz/lx5UrVy6LHk9KSoJIJKKRJkcJnNhedP1DQG4hcLLAms8UGWzvlhFCnAwFTWRRvP/++/y4bdu2ZdPjAQEBqKqqsnczlm+dJpFw/FTdyiQgLgKIDrF+zfKaCCFkDihoIosiNzeXF7QMDw9fNj3O9tcbGBiAXq+3d1OWZ0XwiRv2skUIbNVcoC8gl9qrZYQQJ0ZBE1m0SuCBgYHLqrdto2osYCSEEOL8KGgiC06r1WJoaAhpaWnLqrfvuusufqQil4QQsjRQ0EQW3P79+/lxx44dy6q3Q0JCIJVKUVJSYu+mEEIImQcUNJEF98EHH4xbhr/cAqfW1gk1ggghhDglCprIgjt79ixkMhlfTbbcZGRkQKPR2LsZhBBC5gEFTWTBNTQ0IDQ0dFn29M6dO+3dBEIIIfOEgiayoPr7+/lIS1ZW1rLs6TvuuMPeTSCEEDJPKGgiC+qdd97hxxtuuGFZ9rSHhwefmiSEEOL8KGgiC+qjjz7ix9tuu23Z9nRQUJC9m0AIIWQeUNBEFlR+fj6USiXc3NyWbU+zfeiY3t5eezeFEELINaCgiSyo5uZmREZGLute3rBhAz9+8skn9m4KIYSQa0BBE1kwrD4R23dt1apVy7qX169fz4+nT5+2d1MIIYRcAwqayIL55z//yY+7du1a1r0sl8v5sbKy0t5NIYQQcg0oaCILxjYdddNNN1EvA+jq6qJ+IIQQJ0ZBE1kwRUVFPAGc7b9GAJPJhKqqKuoKQghxUhQ0kQXT3t6OmJgY6uEppiwJIYQ4HwqayIIoKyuD0WjE2rVrqYfH+Pzzz6k/CCHESVHQRBbEW2+9xY+7d++mHr6ETVWWlpZSfxBCiJOioIksiCNHjkAgEGDz5s3Uw5dERESgs7OT+oMQQpwUBU1kQbARFS8vLwiF9Ctmk5mZCbPZjLy8PPqtI4QQJ0SfaGTescCgu7sb8fHx1LtjbN26ddwmxoQQQpwLBU1k3p07d44HThs3bqTeHSMxMZGPvB07doz6hRBCnJDY3g0gzq2xsZGPKo317LPPjgYJbMPeiavqljM/Pz+Ul5fbuxmEEEKuAgVN5JoCpoSEBKjV6ikff+CBB6a8X6lUwsfHZ1n2fFJSEj777DM+Ekf5XoQQ4lwoaCJXjY0wsYDplVde4cGTzZYtWyCRSHDo0KEpn8cCprCwsGXZ86xvPv30U37bvn27vZtDCCFkDihoIteMBUxsZRjDCloODg7ygMB2H7nsrrvuwk9+8hO89957FDQRQoiToURwMq8OHjzIj9dffz317BTYtjJisRi5ubnUP4QQ4mQoaCLzat++ffx49913U89OIygoCNXV1dQ/hBDiZChoIvPq9OnTkMlkCAkJoZ6dRnp6OoaGhqDVaqmPCCHEiVDQROZVfX09wsPDqVdnYEsAP3DgAPUTIYQ4EUoEJ/Omvb2dj56sXr2aenUKthpVtkrpL7zwAqKioqbtq+W8ypAQQhwRBU1k3rzxxhv8eMstt1CvTgh+WG2qvXv3TkqatyXOT4U9hwVaFDgRQohjoKCJzJuPP/6YH3ft2kW9OgYLeljwM7Zy+h133IHm5maeAzYVdj4LsthzKGgihBDHQEETmTeFhYXw8PCAVCqlXp2ABT5jg59t27bh+eefh7e3N+WAEUKIk6BEcDIv2LYgHR0d4yqDk+ndfvvt/MiqqRNCCHEOFDSReXHu3DkeOG3evJl6dJYr6AQCAQ4fPkz9RQghToKCJjIv3nzzTX685557qEdn8w9PKOQJ4sXFxdRfhBDiJChoIvPi2LFjEIlESE1NpR6dJdZXvb29fL8+Qgghjo+CJjIvKisr+fYgZPZ27NgBi8WCjz76iLqNEEKcAAVN5JppNBq+LUhmZib15hzcd999/PjOO+9QvxFCiBOgoIlcs88//5wfb7jhBurNOWD787F9+qar1UQIIcSxUNBE5iWfibnzzjupN+coMjISdXV11G+EEOIEKGgi14ytAHN1dYWXlxf15hytWbMGOp2OVwcnhBDi2ChoItess7MTcXFx1JNXYc+ePfz42muvUf8RQoiDo6CJXDNW1HLr1q3Uk1dh586dvMilbd8+QgghjouCJjIvHnjgAerJqyAWi/m0JhW5JIQQx0dBE5mXD/7k5GTqyauUkpKC7u5uKnJJCCEOjoImcs0CAwOpF6/B9ddfz4tcHjx4kPqREEIcGAVN5Kp1dXXxI22dcm0eeuihcfv3EUIIcUwUNJGrduDAAX7cvn079eI1CAgIgFKpxKlTp6gfCSHEgVHQRK6a7UOe1Roi1yY+Ph5NTU3UjYQQ4sAoaCJXrbq6ejQRnFybbdu2wWQyITc3l7qSEEIcFAVN5KpotVoMDg5S781zXtMrr7xCfUoIIQ6KgiZyVd555x3quXmUkJAAqVSKI0eOUL8SQoiDoqCJXJV9+/ZRz82zqKgo1NTUUL8SQoiDoqCJXJWzZ8/yFV9k/mzYsIFv3ltVVUXdSgghDoiCJnJVe821tLQgMjKSem8e7d27lx9feukl6ldCCHFAFDSROTtx4gQPnHJycqj35tH69eshFApp815CCHFQFDSRObONhOzevZt6bz7/MQqFCAkJQVlZGfUrIYQ4IAqayJyxFV4KhQLBwcHUe/OMFQodHh5GX18f9S0hhDgYCprInNXX1yMuLo56bgHceeed/PjBBx9Q/xJCiIOhoInMOZ+JVa7euXMn9dwCuPXWWyEQCHD8+HHqX0IIcTAUNJE5efHFF/nxK1/5CvXcAmBb0vj5+aGiooL6lxBCHAwFTWROjh49CrlcjujoaOq5BbJ69WoMDQ1R/xJCiIOhoInMSV1dHeUzLbD77rtvoV+CEELIVaCgicxabm4ujEYjduzYQb22gPbs2cPzmgghhDgWCprInPOZvvzlL1OvLXBek4+PD/UxIYQ4GAqayKwdPnyY5zNRuYGFl56ezo+9vb2L8GqEEEJmg4ImMits2xSWz5SUlEQ9tghuvvlmfty3bx/1NyGEOAgKmsisfPTRRzxwoq1TFsfatWv58dixY4v0ioQQQq5EfMUzyLLS2NiI7u7uSfc//fTTo8vh8/Pz+de0R9rC7kPH1NTULOCrEEIImQsKmsi4gCkhIQFqtXraXtm+ffu475VKJSUtLyCNRoOGhgaEh4cv5MsQQgiZBQqayCg2wsQCpldeeYUHTzZarRbr1q3DqlWr8Oc//3lcj7FVXmFhYdSLC+iZZ57Bb3/7W+pjQgixMwqayCQsYMrMzBz9/q9//Ss/fvWrXx13P1mc8gMHDhygoIkQQhwAJYKTK3rjjTf4ce/evdRbiywqKgpVVVU8CZ8QQoh9UdBErigvLw8BAQG8RhNZXJs3b4bJZMLHH39MXU8IIXZGQROZUXNzMwYGBrBp0ybqKTu48847x02REkIIsR8KmsiM/vCHP/DjN7/5TeopO/Dy8oKnpydOnDhB/U8IIXZGQROZ0f79+yGVSrFx40bqKTvJyclBZ2cnBgcH6T0ghBA7oqCJTIslH7Mk5OTkZOolO3rooYf48fnnn6f3gRBC7IiCJjKtd999lwdOtrwaYh+33347rxBuW8VICCHEPihoItOyJR9TPpP9azVFR0ejqKjIzi0hhJDljYImMq3Tp0/D398fbm5u1EsOMNqk1+vx6aef2rsphBCybFHQRKbE9jtjpQauu+466iEH8J3vfGd0SxVCCCH2QUETmdLvfvc7fvzWt75FPeQAWHFRts/f0aNH7d0UQghZtihoIlPat28frwDONuoljmHr1q3o6+tDY2OjvZtCCCHLEgVNZBK1Ws2n51h9IOI4HnnkEX58+umn7d0UQghZlsT2bgBxPG+++SY/fuMb37B3U5a9srKy0T5QKBS80Og///lPPPDAA5P6hk3fhYWFLfs+I4SQhUJBE5nkww8/5MvcqT6T/bAASKlUYu/evZMea21tRVZW1qT72fksyKLAiRBCFgYFTWSSuro6pKWl8YKKxD5Y4MMCoO7u7nH3f/TRR/jxj3+Mb3/72/jiF784ej87lwVY7HwKmgghZGFQ0EQmYVXAH3zwQeoZO2PBz8QAKD09HT/96U9x+PBh/PGPf7Rb2wghZDmioQQyiUAgwNe+9jXqGQfERv8yMjJQUVHBi10SQghZPBQ0kXEjTExISAgvN0AcE0vQt1gsePbZZ+3dFEIIWVYoaCKjDh06xI+7du2iXnFgbOpUJBLh73//u72bQgghywoFTWTU66+/zo/33Xcf9YqDT9GxRP3S0lIYjUZ7N4cQQpYNCprI6NTcxYsXR+sBEcf28MMP8/fsL3/5i72bQgghywYFTYR7/vnnR3OaiOP78pe/zKfoKK+JEEIWDwVNhGMfvlSXyXmw4qOrVq1CeXk5BgcH7d0cQghZFihoInzpeklJCWJiYqg3nMgPf/hDvoruV7/6lb2bQgghywIFTQT/8z//w6fm7rrrLuoNJ3LLLbfw/LOXX37Z3k0hhJBlgYImgj//+c98I1j2IUycy44dO9DW1oampiZ7N4UQQpY8CpqWuZqaGv6Bu337dsppckK/+MUv+JFW0RFCyMKjoGmZe+yxx/jxySeftHdTyFVITU2Ft7c3jh49Sv1HCCELjIKmZe6DDz5AQEAA//AlzlshXKPR2LsZhBCy5FHQtIy9/fbbUKvV+OIXv2jvppBr8Mtf/pJvskwIIWRhUdC0jD3xxBP8w/YnP/mJvZtCroFSqURKSgr/ure3l/qSEEIWCAVNy1RraysKCwuxevVq/qFLnNu3v/1tfvzDH/5g76YQQsiSRUHTMvXoo4/y49NPP23vppB5kJWVxY+HDx+m/iSEkAVCQdMyxApZvv/++wgODkZOTo69m0PmEUsIf+mll6hPCSFkAVDQtAz95je/4Vun/OAHP7B3U8g8Y5v4Pv7449SvhBCyAChoWoZ+97vfQS6X41vf+pa9m0Lm2aZNm9DQ0IDc3FzqW0IImWcUNC0zBw8eREdHB+6++26qAL4EsdFDtiLykUcesXdTCCFkyRHbuwFkYTU2NqK7u3v0+6997Ws8WPrSl76E/Pz8ceeWlZXR2+HkfHx8+IpINtLE3vuwsDB7N4kQQpYMCpqWMPahmZCQwAtYTjWNMxVWfoB98BLn9cwzz/DVdF//+tf5yCIhhJD5QUHTEsZGmFjA9Morr/Dg6c4770RdXR0OHToELy+vKZ/DAiYanXBumZmZiI+Px0cffYT29na+TQ4hhJBrR0HTMsACJjYlV1tbi+3bt2Pbtm32bhJZYH/961+xfv16PPTQQzx4IoQQcu0oEXyZ+MIXvjD6YUqWvnXr1iE5OZmPKjY3N9u7OYQQsiTQSNMycPbsWRQXF2Pnzp009bbEjU3mZyvpHnjgAdx222147rnnJp1LU7GEEDI3FDQtAz/96U950cNXX33V3k0hC4QFQCyJf+/evZMey8vLG91mZSx2PguyKIeNEEJmh4KmZaCzsxNf/vKXp03+Js6PBT4sABpbXoKpr6/H7bffjsjISLz99tuj97NzWYDFzqegiRBCZoeCpiXMaDTyo1QqxbPPPmvv5pAFxoKfiQEQW0m3Z88evPvuu6ioqMC9995L7wMhhFwlSgRfwp544gl+/MY3vsEDJ7I8vfzyy5DJZLxuE9usmRBCyNWhoGmJKi0txb/+9a9xK+fI8sRyl37xi19gcHAQ3/72t+3dHEIIcVoUNC1Rt9xyi72bQBzIf/zHf/Cpu7/85S8oKiqyd3MIIcQpUdC0RKflWCHLm2++2d5NIQ6E1Wxirr/+epqmI4SQq0BB0xJTUlKCxx9/HN7e3vjP//xPezeHOJC4uDh8//vf51ur/PrXv7Z3cwghxOlQ0LTEVstt2bKFf/3ZZ59BLKbFkWQ8FiyFh4ePKz9ACCFkdihoWkLuuOMOXneHFbNMTU21d3OIgzp27NhoQN3X12fv5hBCiNOgoGmJeOqpp/D+++/zys8saCJkOiwh/Mknn+RfP/jgg5TfRAghs0TzN06ksbFxUsVn5vjx4/jRj34ET09PPPPMM8jPz5+0DxkhY23dupUfW1pasGvXLnzwwQfUQYQQcgUUNDkJFjAlJCRArVZPew6balmzZs2kGj1sXzJCppKWloaDBw/i4Ycfxv/93/9RJxFCyAwoaHISbISJBUyvvPIKD56Ympoa3H///TCZTLz+zlSbstJO9mQmf/3rX/nv0PPPP4+goCD87Gc/ow4jhJBpUNDkZFjAxPYTY/uIsUrfLGA6cOAAbrjhBns3jTgh9nv0wgsv4NZbb8XPf/5z1NXV4Tvf+c6051MQTghZzihockKsnAALkgwGA/bv308BE5kzFvywqdu9e/eOu/+ll17it+mw57BcuYkbAxNCyHJAQZOTYbvVs5VPbMn4J598MprQS8hcsKCHBT9jFxbo9Xrce++9qK+v5yUrnnvuuXEbPbPzWZDFnkNBEyFkOaKgyUnYdqf/1a9+BTc3N+Tl5SEmJsbezSJOjAU+E4MflifHtt/58MMP+TE3N5d+zwgh5BKq0+QECgoKsGPHDv51fHw8mpqa6IOMLAihUMhX07G6X729vfz37cc//jH1NiGEUNDk2LRaLW677TZkZGSgv7+f3/fqq6/ykSZCFtIPf/hDnD17luc+sengiIgIFBcXU6eTJU0kEuGee+4Zdx+bphYIBDh58qTd2kUcB400Oegect/73vfg4eGB9957D0lJSdi3b5+9m0WWmZUrV6KtrQ1f/epXeZ2whx56iN/PRjoJWYoCAgJw/vz5cWkR//7v/461a9di3bp1dm0bcQwUNDmQzs5OXkbA1dUVTz/9ND++/PLLKCkpQWhoqL2bR5bpdB0resmCpvT0dH7f7t27+ddHjhyxd/MImVfs93rsHwVf//rXodFo8M4771BPE44Swe2IfRC1trbijTfe4KUDWI0cxsvLC//v//0/7Nmzh3/PtkWhLVGIPYWEhOBvf/sbL6AaFxeHoqIibNmyhQf2bAUn28MuPDx80vOorhNxJqyUC8vpa29v538wsN/5Bx54gI9AEcIILBaLZTl3RXNzMx/FYX9dsA+GhcaGe9lf6H/605/4lNtcup9q5BBH38rHHr+zi/1vmCxdrJyGr68v/vCHP+Ctt97iq5QHBwd5iRdCGPpNWMANddlmqIWFhTyB9uLFi/x/7gMDA+MCpRUrVuC+++7jm6ayv2xmQn+1E0er7cSUl5fz0dLTp0+jq6tr9H5W44kFWF/5ylewbds2bNiwAdnZ2fQBRBwW+3+sQqHgI0zs/90sTYICJjIWjTRd+iuVDcn6+/uPJmKzfzje3t58Ptt2Yx8WPT09oze2oo3d2AcFu05paSmNHJFljQVJb775Jq/zxGo8sX8XU61QkslkcHFxgbu7Ozw9PaFSqfiNTYNERUXxf4vs3x+b/mM3di573Pb92A8yGmki8yk5OZn/vzwwMJCnTxAy1rIPmtjo0FS5GHPFRonY1Bv7EGCr3thfLCwYYx8A7B/hVHPiLHcpODj4ml+bEEfERlpZ3hP7g2MxNDQ0UKVycs3YBtavvfYaDh8+TDsukEmWfdDEam+sX79+cs8QQpzKiRMnaFk4uWZs5DM6OprnMxEy0bLPaWKJrQxb1s9GiZa6oaEhJCYm8hwrNt2xHCy3n3m5/bwsT5CN5tr+LRMyVywlg+Xmsfp4LPGb1ccjZCrLPmiy5UawqbTlUGmb/Q+BYdOCy+HnXY4/83L7eW0/IyXskqv1zDPP4Lvf/S5fvMDqktEqTDIdKm5JCCFkWXv00Uf5Ih6dTocvf/nL9m4OcWAUNBFCCCGEzMKyD5rY0uef/vSn/LgcLLefdzn+zPTzEkLIwlj2q+cIIYQQQmZj2Y80EUIIIYTMBgVNhBBCCCGzQEETIYQQQsgsUNBECCGEEDILFDQRQgghhMwCBU2EEEIIIRQ0EUIIIYTMDxppIoQQQgiZBQqaCCGEEEJmgYImQgghhJBZoKCJEEIIIWQWKGgihBBCCJkFMZY5s9mM1tZWqFQqCAQCezeHEDJHFosFQ0NDCAoKglC4OH8HGo1GXLhwAf7+/ov2moSQ+f3s7+joQEZGBsTi2YdCyz5oYgFTaGjoPL4VhBB7aGpqQkhIyKK8FguYVq1atSivRQhZOGfPnkV2dvasz1/2QRMbYWJu3/47SCSKBXxrCCELwWDQ4J1PHh39t7wY2AiT7X+4gYGBi/a6hJD50dbWxv/wsf1bnq1lHzTZpuRYwCSloIkQp7WY0+u2KTkWMC3W6BYhZP7NdXqdJuMJIYQQQmaBgiZCCCGEkFmgoIkQQgghZBYoaCKEEEIImQUKmgghhBBCZoGCJkIIIYSQWaCgiRBCCCFkFihoIoQQQgiZBQqaCJkHLvphKA0j1JeEOLmTJ0/iuuuuGy1cunfvXnR2dtq7WcRBUNBEJmEf/n7DHdQzcyAymyCwmKnPCHFid9xxB9avX4/PP/+cb8rMNoJ+9dVXERwcjOeee87ezSMOgIImMolOJMOI1IV6Zg4G5e4YkS7e3meEkPnd8Z4FS++88w5SUlL4vmRdXV0YGBjAoUOHoFAo8PWvfx2/+c1vqNuXOQqayCQmoRgjUlfqGULIsvDQQw/xabmbbroJRUVFCAgIGH1s+/btqK+vh6+vL37wgx/g4MGDdm0rsS8KmgghhCxbb775Jl5++WUkJSXhwIEDU57j5eXFgymZTIbbbrsNvb29i95O4hjE9m4AIYQQYg96vR5f+tKXeDB06tSpac9rbGxEd3c3fv3rX+PRRx/lieJ///vfpzzXx8cHYWFhC9hqYk8UNBFCCFmW7r//fqjVajz//PNwc3ObNmBKSEjg59kUFhYiKytryvOVSiXKysoocFqiKGgihBCy7LS2tvLE75iYGHzlK1+Z9jw2wsQCpldeeYUHT4ODg9i6dSu8vb3x0UcfjTuXBUusRAF7Do02LU0UNBHiwERmI+K7y1Hql2zvphCypLDgxmKx8Hym2WABU2ZmJv/6i1/8Iv72t7+huLgYDz744AK3lDgSCpoIcfCVjKW+SfZuBiFLSnt7O44cOYLY2FhIJBLk5+dPey4bPZro2WefxUsvvYTHHnuMgqZlhoImQhydQGDvFhCy5EoMsFGmysrKaXOTJuYpsQRvG6lUinvvvZcHTh9//DGuv/76BW4xcRQUNBGnZRbOfzAhNFvm/ZqEEMdaMXf48GH+tS1P6UqmWhH3+9//nj//u9/9Li5evLhg7SWOhYIm4jQBUUZbPi4EZi76605EgRUhzuuJJ56AyWSalKc0Vx4eHti4cSOf5mtubub71JGlj4pbkkmi+mqg0g0uWs+wQGXibSoLHTDNlpuuf1btJYQ4HraHnFwun5dr/fa3v+XH73//+/NyPeL4KGgik9R6RmNINnXNkrlIb78w5f3OHnB4aPuX3M9EyHJw5swZdHZ28pIB82HlypUIDAzE+++/Py/XI46PgiayYAoCMq75Gm66AUT11sxLe9j03nyo94ycl+sQQhbXL37xC3585JFH5jWpXKPRUOC0TFDQRBbFXEdhbAHOoMwdtV7R89KGxZzeo5EnQhzP559/znOP2Oa78+WHP/whBALB6FQdWdqWTCL4jh07eO0NoVAIlUqFP/zhD8jIuPaRDnJ1rnWKar4CHMuYdgjsuDJubH9QIjkhi49txstGhO677755vS7bfoVVFWdTf2azeV6vTRzPkhlp+uc//8l3oS4oKMD3vvc9PmRKFtdC5vSw4Odqbtd6jYVAuU+ELL7f/OY3/MgKUs63hx9+GEajEfv375/3axPHsmSCJrb802ZgYIAPl5LFMd+B0mIFL1fblvlsEyWOE7Lw2AhQbm4uHxEa+1kxX1iOFJvlePPNN+f92sSxLJnpOeYLX/gCn7NmDh48OOU5Op2O32zY5otkcS1GvSVCCLF58cUX+UjQTBvzXgtWITwtLY3PdJClbcmMNDGspH1TUxMvXvaDH/xgynOeeuopuLu7j95CQ0MXvZ1LwbVMMY0NmOZzBCelvYhvcLtY5nPkiabsCFk4f/rTn/hI0KOPPrpgr8FGm9jWLGRpW1JBkw3bdZqNOPX09Ex6jM1ns+k7240FWWRxP9jnI9CQGbWQmTUwiwSjt8LgNBgkknH3Xe1tJh6aPkT21c74c13Lz0YBFCHzOzXH8l3Z5rxsRGghP3dYYEaWtiUxPdff3w+1Wo2goCD+/XvvvQdvb294eXlNOlcmk/EbmZtrCZSuKYCYJoCRGPQQG4zQSJRXfe2reV2mX+HJb4uxco9W3RFybdiGugaDAXfccceCdiULmMLDw1FXV0er6JawJREWsxGj3bt3IyUlhc8rP/PMM3x5KSWDLy53bf+UIzALYVDujl6l96zPz2zNh8ygRUInbaxJyHKbmmO+853vLPhrbdu2jR9Pnjy54K9F7GNJBE0suj979iyKi4tRWFjId7BOT0+3d7Oc3lyniQbkHqjzjOJfz3Wa6mqmyWbTbtstLyQLGpkCpQFJVzXFyIIuJrWtEAKBac5tnK9pu4kEFjOCB5uv+pqELHUnTpyAn58ffHx8Fvy17r33Xn586623Fvy1iH0siaCJOMZ0HA8KBEBax5VXkMw1OJoqEJruNltzuVZ+kDV5vSgwDSah+Kp+loi+Op4PdS0B1MS2WSCARjw/m48SstTU1NTwmQjbCNBCY4uLGFpFt3RR0ESuOQF5XAAgEKAgcOpK7LMNkq4UCIlNhjk/f67BVWbLeX5Mb8sf9xxvddcVnztdEMX2rJuYC3Uto0+8HQIBepUL/xc0Ic7of//3f/nxu9/97qK+7sjICKqqqhb1NcniWBKJ4OTaXU2gdMVrznLqyvbaLFDJD866YvviOspRHJg6q2uLTEZE9daiyjd2xmtOlBe6kh8ntkdm0o97bnxnGcr9EmbcHmVsPwhNlnlNGmftoG1ZCJnaBx98AIVCgZUrrf+eF9OPfvSjK1YfZ1OGYWFhi9Ymcu0oaCIOY7qAaaLZBkyMSSRGk8fV1+Jio1pGkWT0+2b3kHGPN3iEwxGldhSiyD/N3s0gxG60Wi0aGxuxYcOGRXtNFgQplUq+mvvtt9/mt5mwc8vKyihwciIUNC1z9hhhYq+p0g7Cf7gD1T4x19Sm2bRHI5u6LIHQbIaZbbdzacudiSM8bJQqurcaZf6JUzzXeq5GqpxTeQBb32Q1Waf/LlzKlbqWUaepXrfEN3na8/2GO9Dp6n/F6xLizF599VVebPL+++9ftNdko0YsCLrlllt4bajTp09DLJ76Y5adt3fvXnR3d1PQ5EQoaFrG5is4SewsRaVvDPRi2axfa0juxm+zacdUr53RcgEXgq25UwFD7RCaTWh1D8ZcBA22QCNRoMfFZ8rXMQoluBiYNGXwMrHNwjk+fj40a9yUHSvWqZsioZu16Wqm68xC0bTniCyLVzWdEHt54403RrfXWkwscGIbxrM8Klaz6e67717U1ycLixLBl5m5JntfKVE5uqcaJYHJUwZM073WTAnZV9pWxZZcfSEkffTrVo9ANHuFzLnqd6N3GLrcfGdV7uCK7ZrmZ7IllM/U7+y1Ivtrpx2hm3P5hiu8v22quQWXhDijvLw8BAQEQC5f/NWlX/rSl/jx5ZdfXvTXJguLgqZlZK4jSzN9SNsCi3b3gClfZ6ZAaarXGft6LI9IaRieMZAxC4VzKkMw19vYn3HsLbmjGJJLyeCzCaJsCeVX6ouL/kmzmtqcy0q7qykbQchSwKa82E4R69ats8vru7m58V0p2PQcWVooaCLXZEimmtP5Se0lVzxHajLAxaC+hlZduo5Rh5TWYsynoqBUGEQLt38VIeTaPf/883aZmhsrJyeH7386ODhotzaQ+UdB0zIwn9Nx09VZmmr0ZKr7qnxiphydYSNLK3qq+LWHFS7oUFkTla3PNUNkNkwaDVrZmHdpxGnqm1aqQGFI2oznTLxN1fZJP5eItd0y2l5bf0z8uaJ7auCqG5p5am6a6bqZ6lnN51QdIUvRvn37+F5wN998s93awJK8mRdeeMFubSDzj4KmJe5qkr2nKh451Yf4lXKWxhLChKSOEuik1vyCidNew3IVKv1ipwxUXPXD8FH3TApwzkasmjLX6Gpv1rbPFFRdbpdJJEKjZ8iUU3m2vqz1jsSQwu1ygGOxzGnq0nbdK71fs0GBE1lOSkpKEBERwQMne7nzzjv5/qdXKjtAnAsFTUvY1a6OW9FbDZHZeMWRpSt98I8NSNjWIyVBSVPkJk0c0bEGKFKTjm/Jwr7uc/Xiid5TBTpzSfx20/XzxPXpHp9rQKWWuYz7GUZ/Jts1hSKkt1zgpQ3YNTLaCsZca/qAcy4jT3NJEqfAiSwHFRUV0Gg02Lp1q13bwUoNhISE0JYqSwwFTWSSct+ESfurzYexy+ADB9tmPDdwsB1yg3b0+8ieumt+/X6lJ6r8YhDTad3eIKm1FFFdNfAd6uIlC8ZaU5sL7+GuWV03o7kA8e1lvPbURAXBGaPTfvkhk2syEULm11/+8hd+fPjhh+3etZs3b8bw8DAvskmWBgqalqD5yGGacjqOf2u+4ujIxGtONbrEtpodndqakFPEp7Z8o6CWu4yOJvUr3SaNDBklV7eCrtPNl+dIlQQnotY3Et2unkhpK7Fe79K1633D4anth8ykmXYUytbm82GZuBiUBI1UgeT24suvNcUIUVRP7ZQr7RZruo5ynMhSd/jwYUgkErtsnTLRgw8+yI+U17R0UHHLJWY2wdKVEr2nu254bx1f1caWx08VKM10nfEJ4kI0eYXO+rlSkxYBQx28ptKV2j/da7J8opz6PAxJXdHiEYSo3nrUe4XxZHEmP9xaKNN06TlNXiGTriU0mZHZXID80Ay+Ms8ovLyKjhWg1ErlKAhJv1xtfIp29rh6Tln1e+y5Ywth8tedWDjzUv9MtY/dbIthTnVdQpaCyspKBAUFIT8/f9pzWDXuxbBlyxaeV/Xhhx/ipz/96aK8JllYFDQ5kai+GtR6Ri9qwDT2mu1ugXzbkekCpisFShOfk9pSjKLglClGocafpxErURSacsWfceYaRwLkrlg1+l2fm8e4R8cGIDKDDmaBcNIUpRlC5Iey1XgCxHZVoSQgaXQLFqVBA51YBotAOHru6LXHBFA9rt7jghX2uhMDKBf9EJ+etG0xM21AJRJMGzjZrjUTCpzIUnP06FHo9Xo0NDQgKyvrivu+sb3iFhILmIKDg1FaWrqgr0MWDwVNTqRbcW3/wOcSMCn0aozIXfjRtr8am35Kby1AQVD6jKNDY6fdpnttdn5ZYNylhGnB9OdNE5BNfHwqLE8pp+48cqMvB0s2ObXncCYqe9J1WFDiNjwAlXYI1f4rsKbqDM5ErYKLbhgjMleYIOTnNHqFIrqnFlV+K/jzfNRd6HbxGU0OHxsiThVA2YIfqVmLqJ46nkdm+/nHbjFja9PYds4mcLJdazaB08TXIMRZvfjii/z4+OOP49Zbb53xXBYwsS1PFtratWvx5ptv8oKbCx2kkYVHOU1OZFDuviivwzaqDR9o4MfgodZxjxUFpPAClWyvNMZ3uBMh/U1zfg0PdR/C+mafHOkx3IfUxiKsqb5yhd2V9dZh+ayGApyOmjqv4Uzk9PkOHe6sRpQ1mGABExPZ3TDunD4Xz9GAian3iRgNmKYT3V0DT3UfYrqq4a7p5/dpJQpcDJi8IfBM++VJjNaK5DYZrdNPQ8xWWnsBn8IkxJnl5ubyIwuYMjMzZ7wtRsDE2PaeswV0xLlR0LQEXCm5d6Yl6VMlaSd0X8RF/0SYRGK+Ee/Y65vErHRACt9clj2PBRhsD7dJW5BMMco0NjG619ULFQHWuky29rEyA7ZrsKRsW2I2O8Z016AwPAVdbj4wiYWjt3FlDS7ddz4yjR9Px2TDKBGP3p/dkHf5uRLRpOusrj07+n1l4Ipx7SgKS56UgD6xDeMSzi+d62IYHn282jeaT89V+MfyoGtcf106n23Rktwxvmr62PNGpK4wiMXj3m+2+e+1FsK8EJQxOtXoKIIHm+3dBOJk6uvr4Wh27drF6zX961//sndTyDygoMnJXUvtnelykIoC06a89sQVcayWU3pLwZSr4Ni57DFW1PJy3SLrLbS/kY9Qic0GHnSw+zZXHUFW03l+XkbzhctFJC8FJadic3gAVBYSh9j2Sr6SzygWjt4kZh3i2ir4c7Ry2WiwM/Z2Mm4VggZaLgdkbPrKYrIGR2Ih8qLSkdpcPC4ggsCC+PYK/nVGY8GUK+Ns941fWWe9BQ20wm+4w3repZ/F1lcruqrhN9Q5rp91UhmKA1OmrL/EzhuQu4+Wbpi06m6OK+uU+hHE9FTCUbEcMUJmq7W1FVrt5TIljoLVa/L390dhYaG9m0LmAQVNTuxqE7+nq+491feTCjyOea5BLOEryQQwQ2bUTSo6eT4iEwaJZFzww27DchfIDRrEdFoLTbIA5ljcOpyJXglPdTdaPfxHgxY2jSc268eNQDX5BsEoFfHnmiRs1EiIYRcXVAZH869Tm0p4YUzbNXyHOvlxQ+UpGEWXR4fYuSu6a6EwqfnXIwol8qLTxwVVBokYdb6h/OuCiJTLz70U7NnatKr+3OjzoruqR3/Wi8EJEFmM44ItiVmPgKF2iGBCu5s/PDR9U45STdyeZab3aex7O9vfBbXUBVXesdNey966ldbVkoTMhiMv62f70LENhFnNJuLcKGhyQrOttTNdwDTTtfj3AsBNOzBlraXxNY+EfDpJqdfAU9s35eiLbQSGHbPrzyFgsA1iiwFtXv4QCYyjj7OAZVjpCp/hHgwpXRF/adTILGI/h2U0OGLn9rp5jgZEY0eb3LX9COtpgFYqgc9IN4xiNoIkgMys5cd2Tx80+FunEtn5ZqEFRRGJ6Hd149/brikzaXmg5aXp4a854ObOgyG1Qm4NjC4FTOxcVqQzpL8FJ+NWj/68bAqRnZfeVAChxYhGn7BxI1BGsQhqmRwlIUkQCCxQ6YbH1aka936Meb8mVhOf6j30HulGyFAjf56nppffx0a6ZovqOBFndfDgQT4N5ojuuOMOfnz11Vft3RRyjShoWg4sFqS3XZj16SKLCV5q6wfulbCl90NyFZ+GskluLeWr7iauZGNJ1a0eQeh29UZ6UzFqfSPGnRPU14ZhuSvi2quh1KnhNdyLbjcfaGTW1Xsx7TWIaa1CeFcjLGYzVpWfhtZowrDehAGdERcVPjjnFoIj3itQJPFE15Ce304rg/nxM88YdIzokVJ4HNq+foTVlKBfa8SQ3ogdZz/AjWcPwGxLhrYASc1lUGmGZvz5m72CJ9V0YvlaTJX/ChhFEv41q+tkw+7rc7Gew6baGrzCMR9YgnjgcDsaPazXU+mG+HsvvrQlDiFLfb85X19fhw6a3n33XXs3hVwjCpqWoEnJvwIBCgIzZj0lx+oT1flEWe8bM000se4Se42ikFR+ZAGRbZSiKCSZV/O2jdyw+zKaC/noi0kMqOVK5EVmYkih4o+LLHrEdFSh2TsIDf6hOJ64BiKBCV2el5O+dUIBmhVuMOnUyHMLQrvOhPfDszCgM2HEYILWaIbeZIGRFYq08JhnWodX5CCtuQzn/WOgM5mhNpjxz7hN+FvK9QipLkKdRYKLrj54P2EDOpUqGETjpxfZ6NPYauS2kSf2mLtmABE99fz74IEW3ncCgRFR3XXjRt3GTsVNVWV8qiRx23s73fvH8qFK/JNHv6/3juDvfatb8PS/G9NwtKk6QmbCpr0GBweRlJTkkB0ll8vh5eVF+9AtAUsiaGLJf7t370ZsbCzS0tKwfft2VFdXYym60ofZbHKYppqCmZjDZHtecpt1JdfEZO9JU3dTJEKzabWU1mIeYJyLzIDCoEF2Qz4PQIaVSmjkMn6eRiZHvX8YD0YyG6zJ1kcTViOrIhdBTRXo1BnRrTGgWu6J40FJPDBi2Ei8RCyAXCaEi1IMlasYnh5ieHtJ4OMtga+PFH6+l2++vlKsNLUjTjyI4qzVUHoo4CsxQiEXIUTbh9jeJlT5hPGgS2ey8BEs76YaDPcPoddgwpDFAj3LwRpdgSdkw3JYU3PGmtdUdw7dbp6o9QvnfeCqH7YGfCyYCU0c7adJK+4mbBo8tp+nmqqbKscpqaOUj2ZNleM03Ua/hCwVrA4Ss2HDBjiq5ORkdHV1wWw227spZLkHTbbNGdnu1myFAqvR8ZWvfAVLyWxyTWbKYfIZ6eKr1sZeY0VP9bjrTgyEmAo/W8mBy8GSLdHbdmM1m6YaQTGJRCgNiuePsbwilmNzMjbHWtagrZznTbHCjmz5/6CLKx/R+Tw2G31GE7o0BnwQlokKVQBMl4KkHbVnoVSK4OEuho+PFAH+Evj6SuDlJYa7uxDu7gK4uAigULC/7ACZzIJNVacRoOlGSnsF4nvqEDnQDI2vB1yUQLBoELfUnYS3txCamFAMJ0VDHuoFT08JXF1FkEqF6FZ5QiuWQGc0Y1BvQpfagF6dEcMWCxTaQUR21+FY4lr+M7IRMpNUBJ1cygOrk7HWPCdb37ANfVlwBYEZnupenuC+ruYUTxyfOPJ0+X0X8v3s2EpD2+MT3292f3FgMvSXVptNGRRfReBE+U3EWRw4cIAf2R/Mjoq1zWKx4NNPP7V3U8hyD5rY0OeNN944mgS4evVqh6zXsdiSO4p5ojbT7eKLJo/xxdw6XPxmfP7KpvPQSeST7vcZ7h73fXRXzeX93erO8S9VmkEktpZDL7F+kA/LVWjwsb5+VGcdul290O/iwXOGzGZrXlKPxoB+tQFag5nXWTSLRDCoVFC5SpEoHETBqo1wU4khl4sg5tNeM3/oKzUjvIp5r7s3Wn0C+WiWUSiGz0APf3zIxQ1FUQnYlvcZVGpr7pKQBXhSIVxdxPBwk0Ic7AtPdynS+xshsq0aNJoxpDWiWqDEGa8o6E2svZMnBEN6W5DRUDD6fVB/Gz8KLBaePM+CnBMx61Dlb90uxcZD3Y+YrqrR74uCUqEXX97njhAy3vnz56FSqfjWKI7q/vvv58e33nrL3k0hyz1omuj3v//9tCX0dTodn/see3NE6e2zT9yeTol/Cgyi6T9sB5SXK4xPVVLgbPjKcau6bCNMkT2140aVikNT+Mo4VoeI7e/GRlP6VR4oDUngz8mpPTtuGqoqOJoHMVqhAJKhXgwMq3leEtsNhMVBMpkIHm4S+HjJ4OkpxoaOIvgZ+iEVGbC+4jSkMhO/iSVmfgwdbsUXjr6OnMqz8NN1jz5u9JDjYnIS//q2Mx9AorCgMDMT/QHeo8/v9ffF2fRs6DyVo9fjj4mtX0ukFshcRTAGeMLbUwZvTyn2ln2K1E7r9K/WZEaP3gTXtnpENpXBJLD2E5u6q/cPRY+b5+h0XklYIn+MlWFoYGUMppnW7FV5otI/dlKeE39/xvTj2PfN9thY0402eau7R1fWzSbHifKbiDPUaIqPj4cji4yMhEwmw4kTJ+zdFHINllzQ9OSTT/J8pqeeemrKx9n97u7uo7fQ0FA4ooKAjNGvZzMtN/aDj40w8edNk/g9cUpu4oa7Sr0acZ3lk6p62z7k632tOTvs5qIfQURPHXJjrNNu7GarS2QrBXA8YY21ZMCl4EEjAHoMJnTrjHg3biO0EjnEYgFUrhKee3RT+3m4Ksw8YAkZaIXGVYGU5ouQSU3IS1/JAxq2rcnaijNwMwzDwzSEd3fdjmEfd0Am4MGPLQBSiHTYnv8p3r11z2hANDbgEikFPLjiQZLUGizZAibbddit39sLcT01UCgt+Oy6GxAhUfMRKLnMWmiSreY77xHK869Y7pMZbAquD3V+4dOWYLAFQGOTym2Puen6sb3iE74KcWzwtLIxb9xzJ72HUwROE/OiBhRuGJa6zun3kRBHde7cOZhMJmzZsgWOLjw8HHV1dfZuBrkGSypo+u///m++pPPDDz+cdpj2sccew8DAwOitqWnu+6YtprnmMQksZpT5WTfCHXuNsQHTVM8du0JuWKZEaVDS6DkZrOr3mFGRVs+g0WsOKlzR6BMybsQkrclaVdsistZXWlNzlgdPIoMaQxoterVG6I3WZEg2FeblxYIlCVQqASQSC0rik+Gn78WmipPo9/dCa3gILqRmQCATjAY9HeFBqIqLhVklRkt4CFxMarSsCIdMYuLBT8BIJ2Qs8HERwEfdx7/m39uCIqkJnoaBcUHSVEEVO4/fZCYYXGWjQVR+chYUSiBL14gv1n2O1vBoaGVynkTOcp/6NDpsLTiExJay0aRx26q7sTWhEtsvQqEfGVffiteicvXCh0k7MKK4vJ8du780MAkJHeWX39dZ1HGaiE0LThyBpNEm4qxef/31cdNfjmzNmjV84RIbGSPOackETf/7v//L//F88skn8PDwmPY8Njzq5uY27ubM2FYmY3lpe+Ct6Rv9fmIRRGa6Ct+2hG8WJNnOY49dCE2ddoSEVebWyBXjCk3mxmXzACG7Np+feyR+NQYNJgi6eyAbseYOeQu02Nlbghs7L8BTpB03qiMWmSARGnEucxXS64shFZvQG+I7GsTYAiCjlwJrys7B0zSE7Ip8rC45i9jWGrgKNFhfcGo0ADp8y87Rr23PVYj1iOxuHP2e3SQS8+jXo6NOEjP8RrqRUV8Eg5t0TCBlxIaqXLREhOHTTdt5IjpbnadyFfEpRq1QgiPBKTjuuwJaIbC6+gzvm7EjduxWGJYCo9haNZ3dFIaRywGo6NII1Jj3aFjhitLAxHGjgLOZrqPEcLJUHT16lG9VkpqaCke3Z88efqQil85rSQRNzc3N+Pd//3depp4N0aanp/Oy9Usd2zssbKBx3H1drn5oVwVc9TVZiYDzYVnj7mMb97JtQqYj12sgNhkm3X8qJhsao5kneGv0JjR5BGDQwwteHlJI/NxRkJCFCyvS8O13n+PnZ1QWQq7TQitXQM2GcSwWlMQk8RygscIb6+Hb1cm/zsvKxrCrCmUJiShMT4dcr4NBKsXHO28cPZ8llE+UWlSI2qhoSPR6pBUVQGS0Bp/Z58+OFuO06fXwQkNIOGR6a1I9JxDgbOLK0W/Z+d868Des0HbhgdqjuKPyGAqC4qAWiNE3YsDByOzRwpnh3Y18RJCRGbSI6Gngo3EMm3YkhMxeZWUlgoMv1yJzZLYFSx9//LG9m0KWc9AUEhLCVy/V1NTw4mHsdubMGTiz2Sz3HpG7os4zasZrzPgak6bwhKjws+5FxmoMxXZd2spkbPHKCdNI7Oap6ec1mMbWGmLFKHuNZvQbTHzKSiQUYFf7Bfh4iCBXYHRazKwU4693f4mP3pQmJ8PsJuGjOeF9zXC3DEOsAFaXnUN0V/3oKFBbTCgGQrwR1VGH4P42SGVm6L1dIFYKULQuC/e98xpkchOEQhaYsJVt1ptAYMbqwjOQK0y4uDodIhchUutLUbkykX/NXvdiVjKCBtqQU3Z+3CiU1l2Jfj8v3uZ1Jaf5CNTtx99HRk0B/Ie7IJMacWj1VnT5++Pw2u3oighHjqYJCok1ULIFj1kVp6GWK2CUiPhoHBsp7HTzwamYHKS0lKLGP3LSJsDsGNdRgTX1ufxa4xPEBfC+tJpxuhynqaZmJ77/hDgjtpCHFbZcufLyHzCOjI2IsSKXRUVF9m4KuUriq30iWThXU49ppg/B6fKYxj5mm+7RSa0lBgZc3NCnch//4Xvpw9x2HdvXTd7BPABw0wzwpfHC4REMQgr9pe1PWOHJ65rz0R/oB5ZKIxSZIRRaoBoZgsbdBQaFHGIe4LAl/xY+TRY43IWWuAjIhCZ0h/ujKygAUpgR0VCHngAfaFxc0BwWArVaAE0XoFELodEIodcJcD5yL9w/GkKfQgWjaPyv+FlsgPAkew0LlCI9fJoFaPGRQK6wYHfuxyhZnYkNp47h/Ttuh9Rshq0OndkkgNkswMrz53B29SpITSZ8unUbfLq7sOPcYeQlZKEqYgWkMMFoFKImcgXia8rg7y5Av16CwWEjzGYL9keshEIshJtQAKHAuspOI5TxqbuLwbEwCqWQGPQwj2k3e2eq/KNRFhgPodkCIVtmaHsPLAJkNZ/HR4k7+WPsPbI9PtPvAjvXhtXLYonhbEsX2/stMM98jbHPJ2ShNTY2ort7fKmTsduSsKm5/Px8lJWVOfybkZKSwqcUjZdGt4lzoaBpCZhpexTb1+yDNS/M+tfYVNuiMLZ8G9tj7HtWSoCPMo0ZXbI9zgs1jgmggnqa0SpxRZdECZNEwFfEbesshnzAjMbgUAx5ufERGhYYsWNYawtcOkdQnpwIAcuBOn8W57Oz+WNFa7N4kMTO7Qvzg5t2CC6tfSiTBKCjSYGEwlKcDMrkr8+muiwCIfyGehAy0oeSgBXYXpWLd5K38qCJbYprnRkTQG7Q4q6iw/BS9+N3G/aiQeeOhnprUvTbxgy0XfTBhehbIGkVwsPDjPWleSjIycJ1Bw7h0M6d1naZTTyIMoqk6HQNxvuhe3hAJTaasevTA3h/8y5IhzRQmUbgp+mG3i0IMrkEQ8MmqNUmPuqkN1vgphAjqa8ZDd7WFXaxnVUoCUpEWnMJzodfXj3JsKriPCgacx8PjgQCHEy2TUWaRwMn/viY4Ge6QIedqzCpoTXLoRdensZk7+lMgRMhixkwJSQkQK0ev5/lWD/96U/5jWGLgHx8fBz2Dbr++utx5MgRnD592t5NIVeBgqYlMso00/PZcyYGTJfPH1+DaeJIEislYLvu2NEl3+FOyEw61PlFIKGlHPkRicj1ioQeQh6ouLiIkIA+KIUG5KVk82ktHizBmlzNvq6PjkRO6TmIeJkAEwpZQCK0TtsJRRZknM7DqdSViPn0Aj7wy8avX30OP7jxOwjtb0KuH9tjzYKdzWchcxWgbFUqXJQKuCpl2CYfQv/O9dgp1kJpGIBRIUNwRR2GVK7o8PbB0NoMDA/okeM+AnGrCuEiPQaHhKgXhSCnphCnItKBOiC2MhfPJa2DT7UR/oGRfOSoNjF2dNSJtTGxtJSv9mOjS+xnKsjK4D+fG9RoDAuHx/CAtWaUQYgsTQOqVUFQ96gxJFagb8SCM8EJUIqEPOC6EJnGA5XTMSv594zIaIDEbORlGRj2bo0LnCaMCk0Mjmy/L6xUwfmQrNHHxp7X5hZkvdYMI1RT/Z7RaBNZDGyEiQVMr7zyCg+exrrhhhv4Y2zkxoYFTGFh4wv5OpK9e/fyVdxUGdw5UdBEpuWu7kefynPKx9o8A0Y/kGs9AtA3rIdFJOUrxzxUbLpLiIi6ZhTEpiOmqRp1kVE82doktv7KuQ0OwL+7EyWJKeOuG9zUDKNYgBJxCAoFa6DJBfJU6wAN8N1bvocwyQDMcb643lgHlRcwsCueDSAhATr+fI/efii7hmARitAZEYTgska0xISjMywQmR+egG5LDiJqq9Dv7w0EecEUqIQPNLywZtKJfJx6IAvff/s9fB6cDpNcAtmwBr6NLTijDICHcRhxlUWovS6db9XC1EVG8iMbJTudnoMOvwDAaE0ef+Dtl5GbkoM1RadxPGEtAvo60eHmhzDLIMoFEgxABLVaB1ejBhZXd54gmllXgIKwtNH+cNUNQ6HXot39ysn9rIJ7SUAS9CJrFfaxWMB0JX7DHeh09b/ieYTYAwuYMjOto8sM28ONBVTZ2dnj7neGHFy2ipvympwTBU1OggUorGhluU88jCLJFfOY2D5nYyt+jz13bB4Tn4JruDQFN2H6zW+kCz3uXqOvP9WUnHSgF7VSFb+PTce5q6RwF6iRVFuO4qRUvgKuy8+Xj76supiPdl9/hLY348LqbPg1lqHVPYKPLgX0tKPJzR+55jC4nW9BrbcUK7oakNVahlOb18M7QohYQQeiG+pRkZ4JxaAKencXuAgA9mNJNFqEltZAwApu9g2idNtqsApHXZkxYJNvXo3tEEnF8B0egjbEBwKlAvIxi+pY0NSYk4w739qPIw/vQrAFMJg8kdJjgvcpNaplEYgvq8OB8Ay4HxuBPsQd6ZIW+Cm0aAsQozgnHZJLCVCZpRfQp3DH5xuvQ2tAEB9lkun0OJeezUeompQRCO3sgkAkgX5Yj6zqfJyLTEOMrg+loQnWcg6X1mj0qrz4SJLUoENSazmKg1JGV2/YRpxs358Nz8bqutNodQ9Cs0eI9bEx+U8Tp9smjhaJJ5SvmE1+EyH2whb7sMDpuuuuc7o3gVUHZwuXiPOhoMlBzGarCrYtyrjnzFDx20/dyYOmqRK/x9b4Yc6FZ096LTdtP8qC4iblMNm+Z5vrDhvNiOtqQUNwPOQyITw9WY0iC4wSGQ+Y2DQbo1cqeaJ3UVYGtn12CEe2b4VSoENnRCDEYgv0BguCPyjAxxE74K4dgFokh7tSj7AEM4y3pmKjbBBGDxYCeaE52A0uYiCuuAxVW1ZCptVByApFusnRsSYJPvWtqFudCO/eQZ7vo/eyVr42hHqjOnwD/Itq0JJuXSHoMiYWYLGFSSxF/v038OuvOJ4P7/pWHLv7RqTLmyC6PgLtmckIqjZAUK1Bf6sIpvZufB4Tg43tNfAXqpGfYR3NqUyOh44VkDQI+XRkalkRhFoT8pKzeNDEXFd2Al0ePvgwZh0+Eq2FUSiCQSSCUK6ANSS29h0LnthUnU4mx4WwVAjHtHmqqToWOMkMukm/I7bgaapEcJtmz5A5T9FNdy1CFtobb7zhNEUtpypyWV5uLVJLnMuSKDmw1F3NbvRVPjGTClhOl/g9NsmbHaO6axHdVYtV9Ze37LAFTOxrtr8aK1ap1ptwITier45jARPb9oQXp7xUTmC0WKXYjOChdp7bc+yGrXAzq5FeVgjfznbUVwtw/qwcz8bciozWSsTIuhF6gyu+5XYG3us8IQtwwcpjZ+HT3we5GJArxVBKAP/2LriILfAb6IfXyBDcjDrkvHsYuphA+Pb1IrSuEf49Pbjrkd8g7lwJFAoxEk/mw1VgggcM/LkqiYUfQ+ubENjegYiaesiUYoS0tKI7PQa9iREIbm1Hy6pEuEqAyCAjcjaasGHtMHJcG+ClH0S3SYWREjVeluRgRG3hP6NAJeY/d87Fc0ivLYZIaobGQ4nI3kZ+f3ZVPg5u3IkBL0+olBa4+yrgP9KLwN529OqM0I8pGxDTUTVaNHRisUvb+5neVACRyTpKxKY/NTLlaDmCqX6PXHTDiO8q45s5z6a0xZV+/wixB7aHG1vCn5Rk3b3Amdxxxx32bgK5SjTSRCap8Y2EQSqGAGaE9TTxvcp63K25TaweloFNcbECSiznRimBUslGmNiYx/QjDi4jI+iHN2LKK+A2NIAmvSsGW8xoC7fm3/j6GYD1UfDwNEMkMKHK/3J13/zdW8AGx2TDaghlYljkUuTtvQEiWDAQ4sen59jquGGJHNKjNSiKioPGyx+BVfUYjluDE+IUGAqlOOO3DiHdbTCUmxHaXYeBrCj4D3TCoJRD7ekG6aUimL6VjRjOToRG5YLeED9YJozMGQNcIY3wgWZ7OBIrB9He6QtRpxolQyp4+xiR6doBj5FBFKWm8cKaLEncrDFjbV4u36iXFeDUS2UoiUqExcS2jhEiZ7AB/wrJglivR0hrJdpD45HUXg3TmBVt0ykMSeWrB2c7ShQ82Ioy33gIWDIYIU6K7TEaGBgIZ7Rjxw57N4FcJQqaHEBaxwVcCJx9IuNMRQmvVMDQlsdkeyyhvQylQYmXt0jh51vr9ZiEYrS7+8EglvDv7zj9Lt5J2Ijwzib0hKXATSXByvYKtAQGQaN0RVZNASrCY/hqNTa6JBMaeNDAvm6LDYNUbEaTlz8GWtxQ5BIOSYgR7h5GJCZq4edjgkv/EALL2tGWGgPJpViB5ysJAffObvhVNKI7bQX0rhIEfHwBFwLi0DIgQ73OHcLGXmSXi3EoNhYDTbbNaBPhIw9Ed7k7VLoRDMnYFF8U1h+7gCaBEMbcJmhlCmxvOw+BtwJRbFXev92Nxp05kBiNEKoVCOrsQm94IC/Qqb80FxZZWctX67HZx126YlzYm4LBMhEs1UNYebIIn8SvQVikL/xkFogFLJAxw6gQ4vSGdRAbzDi3MpsfmfTKAhSEJuNMxhp4mywY6jagziMQIS1V6HD3RL+bL9aX5+Jk7Grrij0ACt0IfIZ70OIWYn2fcDmwmhg4jf19YI+x8yv846DUjUAnupTNPoYQRiR0laHUd/xU8ExoJR1ZbGz/NlbYcuPGjU7Z+WyETKVSYWjIuq0UcR4UNDmAmQKmuZQYGFsuYKpzbAHT2IRwBVu5NSZgYsf0xiKcj0rnX4+4WAtUsim551bthtZgRnOYBw+YXF0FqIiKBVuspTIO84reDAuSWIHKzOILfLTFZ6AXXgN9OC8MRXmHH+I0DZC7GxGTbMCNzedQ75UCkVgE+KjQ7a+Ci5AFShbEfHoWOk83dGbHwxzkDfX5Zhxp9EX/R0NYfXYQpYGDSOmoxrHMmyGQ+qApZRuiTD1w81XAVWGBQmrB7sOH8VH2LVhRUY3K8BUYMUvQFpiCgREB+oaFMJkFUIuk6FW6Q+puQNennpDLgbu7czGwIxkxrv18Ck+g0cP3QiWkIxr4FddC6+4KnViM1sw4JFbW4OaSErx1y24MfeiNFR2NqLREoLfHhLh4PeRiMxILi1GzIhoxxeU4mbGWlydgipLTYDYKeRAV1teKlJoi/CN2Gy7KXcHeNi+hACfi1/Bz2RQpO08tU6BL4D2uHhN/Py8dL38vhNBWnfNSkGwLqkL6m1HrHQXLpYDLFviwRQbFAamTAjCq20QcyYEDB0ZrHjmriIgIFBcX27sZZI4oaHKCBPCZRo4yWi+gIDCNT89Mde6Vrs9GmXwHO6GXSdDl5sM/HMuCYidVAB80maHVmyA1GSH3VCLa0IUeic9okBTfWIWyS7kFLGBi98mFRribhiHVaNBQCXgMNgBhqRhKC8J3hk+gyTsOfcoQhDS3oi821PpcIaAQWXjAIJJL0BEUjIG36/GuOBVphUr0V7ZgZXMZKnzDkSjsRss9m3B/0AiCvE0I9DTCr7IZg8mXf629PUMQHNcBF3ctNkX1QOfuCp9jxei+LQWsFFLPoAit3e5oazPD/VQ13paugkYnwD9U67DiX434l38Y4sMMSFkhhmBtMi+pwHKd2NZxK04UYzg2GGZ/N5z+4i0IYAHKXf7wOd6KmmELBgdEcP1nKdpvTEZbZDC2HP0cx9eu5/1jK7uQWHIRRzI28O87gwLwsW8QvHQC9PQaeAXxPp0RPlIRUprL0eoZiGGJCkaxGGKdEemNBSgNSoLnSD+6VT5TJobHt5ej1jsSFgsbOby86rLSP46vihubxH0tI0Y02kTsETTdddddTtvxGRkZPGi6ePGiU5VMWO4oaHJQs0m+ZR9UF4IyJm2TMpcClkmtpeh29YIeUnQKffljarmSn2cSW5OJ1ZeSvq+rOQeJmwzFodnw6BjECNgHuIQnN7OAyRYMsGRotipuwN8Thh49PuiIhqe4D31RnshIVWNFmAH6Wh9I5GIYfXwwLARy9n2G5sw4iCVCSE1mWEo68Se39aj8XIzgASn63YWQiAHlulCII/xxa6gBnkoz/A6fQW9KOn9d17p2uJdUw31gEH2braNexqwwJH/vBdQ9cT9CDp9Hx50boNsQB5+Wdhhc5Qi52ITopDBITAOQ5oxg9cY+jHzeAPHHZXglZCOMJgFK6qT85uVmwvbADqy2dKE1JxFV91yH0OpmmHUGeLb38NEoVv/Jx9wM9eZQnM9X4pg5A6ZSEYaDfDG853oYBFK49Q0huLYJNZHRqIldwfvPtqqOFczMbLqIvKBk9A3oYDJb4N9cicLIRIiNFoguFb3sdfVAm4c/zEJApR+Ef1sHyvwTJ/2O1HuF82rqRoEYg3L3Oa2mm3gulSAgjlRugNU68vPzg7Patm0bXnrpJV7kkhW8JM6BgqYlKHCglR/b3K2VnscSmwzQC63bhkR016PWNxJdKt/R+ksT+XS3oFThy78+k7oWvkojHvroFbyy6z6srsxDXuLUfyGxxOyTshjU1UiwtfoszmVlYePKISiV1g/gjhVhiD+ej/ot1uervd3RHxmEtk4xDG+VQd0hQXu4FhaFCgnuQ3jQrxl+N3jBrz4XPTEp8DpdDmXvAMwqBQR6IyxSMUTDWkBvglElh/vpCgxmRMHjZDmqnv0af42BddZqwuxcgd4Ao9wN4v5huJY1o2dtIiwrgiASAl6r/GDK8MG/F9fhQogM2f/xHL553ffQO6hEY3E3LvhF4J7cY1B/YwN6V4TwXCetSQDhgJqP3rjLpXBxsSBnzQiqKmWoqRZhoNaIArUr0sL64dvZjXa/AKQX5PMioSz4YdyHBnjiVH1AGEQiATzcpIguuYB+qQuGtEZ4sMbZ+lcgRKtXMH+9Gr9onqNkIzHqYRBb32O11IXf2DTd2MBIbtBAZDLxx2ZDpRvEkMxtVucSstAaGhocuur3bNiqm7M984jzoJIDTsK2zHw6CZ1loyMBLFhit4k1mdbWnkJWw/nR5ey1vhHo8PDj12Xf59Se5cGTrbwAW/puGLHu98TqMLm6CmFWinnAxKbfCtLSR0sKbDp/HJkVF+Ai0CC96AIaG0Soq2Ef3AIgSoWbElvh68aW+IMXlXSRAE3XZUIusi77bwiNRNWLLQj6+X74VzTgbHQavtf1MR67ewC3fsMLYXdGILi+AR71rXCVmKFftwJDN2XAkhgAN4MG4e+fhDDaGyNfuw6DaVHQ1fSirdmEclkgWnJ7UNEkRoXQD6pnDkOrtSDwo3PwqW+BZk82pB5S+FXWQ6UZgUd3DxQSM1yhhynGD1uOfQrPjUH4bVoRblunRkVSIlqE7vil182o/+8KVNdLEVDfgpz3PkNkWTUiy2ugCfTiP2NkUzPSknTIWjmC+N56SJoHca7SHV0enhDKgBEvFaQiNipnLc1gVohgVEj4Jsbs+wBTP9ojV0ClU2NN+RkMmy3wHe6askzEsMJ19PuEjnL+dWbz5fdaZDYis+Xy/5ylJrY9i+Hy75etfEFb/pRTuintRfBS98z8OzqL8gWEXKve3l5oNBqsXGndGspZCS/9v7m+vt7eTSFzQCNNdnItHy5TJX/Xe4Zbv58isLIFU0XByRAKzMipO4szkatgvjT9ZsNWaNnOXVN5GgdD0xA00Ila/wi4u4shkVhGE5j5PnKXileyabmi1Rm44dBH0CrlGKjWoTWY5c9YEJ+ohVt0EMxiAa+zxLiYDPCvbkF3XDiUPUP4vMkXRcXB+OrZd/Dyyl24ybsJP76uF8GtwdCKByBvHYHFVwX1jlSYhobhwvauG9bC/cN8VEbGofG8Fi65JpTlt2Ff0Gpo9EJ4qTdCXqtDYvsAwvrb8ffsOGytOYvnfLeg+Tlf7C6NQvqpUhy4Pw1p0mBEe2qw/u2DGLolC/IzHejblgaDUgyhnwrtX90Gi1mA7WYttkf0ofpoH/7VFIBGiTeKTypxwScOO3aEwt3d2h8akwAuZiCopQ0R1XWICPRH3r3xCN/XCveSSpiqxRDm+MBDM4imAHd46gbQJ3OHSSqDXi+CVGdgnYqw/hYUhSShUpqK4REjH0WTaIdhcfMblxgusu0nd+m9vxBuna7MC2N7zVn7PLGjHHmhl7dS6Xdx59NuE6t95wdP3m6FXfdU+Ppxv09UJZzYy9tvv82PN91005J4E9gqQKPRyFfUEcdH75IDmrT6bZoRpsyW88gLXcnPV/Pl9DOvlut39eDfd7lbE7gnbpsyNt/pwIpVWFl5HieiM+HpKeEB04ayUziXuYo/nlFTCBfoUJSUAr/ebqjManx263YUVKrQGyzmQdUen3KYY4IgFwl4CQHbtiUKWBBU34wK7yj4/uRDiENX4YaRHhy5bw8e96uEj6cFLl0tkAwPw+KrgMtgL+QlnXAprEfX6gT0/7kRf4/fid7idAR+1gGTQITToTdCL5YAWgvuK/gAJdGJiNZ3o2RDFtRDvVhjakOUeABpNUeQ5x2DsyHJ+FyajeyPC/C5Vwjq+3rx4xXfxLpTLUgJ9UOiyRUhPiZIVBK4aYYhauxFX1wY4C1Dwu5AhOoF+KwwGJX5Fgiqu3GqXAvfrQFYl6qFUGCB1gS05iRhxfHzPDj0l5mhuS8QR0+twNCgCKFVnQjwVMDgLodBLkNkUwMMEgkaPYJxz3uv4x837kXliliItUa4uIhhNAmxpvQMjkVnYWfdBeRHZ8JrpB9DUjcIL71n8a3lqPCP4dngqc3FqPKNhl5k3ei3INS6GfDY1XRjf9fYY7ZkbvZ7xYIn9rXMqIWbdhA9l6ZoCbG3jz/+mB9vu+02LBUsr8mZVwIuJxQ0ORiWcxTXVTFpy5SpTDUqMBcu2mGsrz6FQ8nbYBaKkdx0EYWRyfDtaITCYMKJyAweMG0qP43TaTmoDo1GxsULaAgMhcRgwIWVGfw6XX5+CC/Kw2F1FPp6rQHTxoROBOs1aBr7ghYLgoqq0Z2+Amd6fPHaIVdg48PwleuQuFGH9aEjUPUqoPFVQVnWgIFVsQj/6esw+7ljsLwPP8+5G9f9x1v4R9YuVNa5YvVALS5Gx2ObsA47JafgGa5AytGTEH0pHtKRfGhvz4Ts8GEYMsLh+vi7GPrDvVD831HctcuCdn8jGnu0qGuNwca3T+OvOTtg6RGgskcBXU0//lwThTAfAzYnrcGeo7nQboof/TEERhM86jpxXXowsmL0eOuEF/oL+yH4pA0vNYfihvVqyJVm6FRK6F0UcOvugyY4AAq5BWvXDuN0rgua4IfXTL5IkuoQ31CLLpU3BBYLoutr8Mru+5GTf473t0vvEBrdg5DeVY3DMdkwmYEjAQlwM5sQ31rJV8YNKKyFRxu8Qi6tojSjKCRl0uo4JqmtFBV+cUhtLUaJXzLME4tnWix8cYGNWSCEXmTNjyLEEbAcIBcXFyiV1nIoS8F7771HQZOToKDJwabmWJ2cmQKmqabmZhqRYltm6KRS6MXWytuXC1iyXcIFGJG7jObF1PuFgWW5FLsF8treNzaeQ0HgOlSExSChuYLn4FQkxPMP9wGT5+XpOakZ77pm8YAprqcesStNSO1ogt5bxUeX2LScX0cXpGLAtbUHz/ekoxnWEavsOB32rFXDXWHhCd0hn+Vj4KZMeBVWY6S9Bx9lb8ULnTEYCtZjqNsVeZsfQog/8NeqlyH+5Q6kFORC1D8Cw7pYiAZ1MN3/BYhquyE6Uw1lcRcsQX4Q+3hD+7dvwuUfR1ljoSxqR8id4Qh2M2LjuVPAFgluDD8P074CFARE4JWM9fAsG0bAhXrUnjPgGXhCrPTBzSvV8Hc3Q2cyQTk0CL04EGxP5K/tHMGZKBe8e8IHmh4hXj2owp0JrYhHO1q3ZkFnEiDt83xUbMiEUGzCvZ5FeB0pGBiQ4GKJDILkaGSX5KMoLQ3dHj5QjmhwLnUl3zsvqrEW1cHR6Pf2gqdKgu4eA0aErFq7APmRaXw1nZnVQQAwrFRZv7etiBtbu+nSCjgWMBlFYlwISUN2Yz7yg8Yn8sd2VUClH8FFvwSIzGaeKD6gkE4qmjnTFB2VHyALqaWlZTSJeilg03K5ubn2bgaZJUoEdzBz3edrug15bVNzcpMGYrNh8lQcm9JTuKIqIBqeI70wSYToV6owyFaisX/IIgHOr1yHjeWnMODjiZroFej284VZKYFEaERmWT4C+jpw64H3UF8vQlevjI8wud/oA0mqD+Ai5blLfL84kQUWTyU0rXr8VL8dzZ1iyKUW/F7zHr6U2QUvpRlKsRlBeRfR96UtELtJsT/tOryz34Ki97uw8/ABhJr7cXfOEF7aVIK/PzKMrNuDkRwsgsQogFgogzgyFML0WMg6dZAYxRBFh0KsF0Dk6Ql5YRukIgUs92yCKDyI3yQjZkh7DZCdrYNlfRKkfXpI9q7DWlk3/hhRgLd+MoxNXwtGX2Y0Cn2iUXx0GP/2N2/kPVUK18OlEPq4wEWvhUJsgYIlwvt04d/vGEKixxB0BgFeKQrGh4JEuA8OIXvfpzB5uvC+8BwaQFJBMb5uOAp3dyMMBgHKLkpQkJSCjJJCSAUGJDWUQ2Ua4VOg+amZvAyBBCZIpQJ4yCzYWHsewzoTBqVyaOSK0ffz3tNvjtubzmZV/bnRZH+9RGr93RAIx+U42X43Kv3icZ5t52I2QmIakyg+wyIEQhZz1ZzBYOAb3i4Vvr6+qKmpsXczyCzRSJODs31YsVVNbDrOlsc01TkThfY2osE3fEyOk/XDdGzwFDDYgbPRWdYgymSGV18X2t184K80IrSvAwKBBRKLEUqzFiaxlCd9myRyfLR7F+QiA075J6K91Zr0nZWpRqC/CfHnS3gSdOk92xB9/iJCKhtQJ/fHi51xGHYTIsDThK/dMAS5KQNCbwU8G1thifGHYX0M6tqE+L9PA1HfJQESboSfmxE/M3yGB78pglKlgRBxEApEEOstEFf3AntYYUgh9Dqgps4Iz/98D+XRiSgOikGVRygS3z6L0oh4ZP4tF60R0dAHr4ZKrkRQsRmRPhbE/PwbCC4shWl1EsSsW7LUwIYEePcP4e5sI25PGkTl8V68U+yB90f88GvpFtyz7xMkZg1iVWQ7ZIMjaL9zA8TN7TCmu+GxuEq80BeH7iNt8Cltxbk1kZBlxcEgEvHgMTqvFB1J0WhIisF6oRpHjrsgorYeZZIISLLTEFdaDY+hPqRXFfH8MYFeADHMaA0JRnhrMwJaWnAgNhusMicLcH0MwzAIZdBLZHhr1W3WUUPb7wXLUWKlIqJWWafqrrDFytj7huSXywtcTcHLmeo/EXK13nzzTX685ZZblkwnxsXF4ciRI1Cr1UtqynGpoqDJSVbM2fKXbMek9hKUBiRPuv7YveW0Mtm4ESZGatRCI7b+w2SP5UWl88eNAsCzsxkJ7bU4HhCAzNZSGOVi/sGdWFMOL3Uv9J5KVKdZc3tYwKTv1sHjYjeQBCQnaxEVauSPuRj0aF2TjKgL5fCtaMA7G3bhwEkltrXn4v7WE/D8720IammGzs+DT/EpBCYMGy3421FPBP/9EHpTtuHexqMI/WIS7u46C5nRAqNSBgjFkJyrh3BIB8v5ZpSOeKPs7YuobjbhU2kkDxZu7/bB89HroeuSYe25AgjbGnDCPQeJDX34l08g0o5WYX9oMgQWAb50bj9e9I9GZ1QsNuf1YJOlAcluI1CsFgL1fTDGBkBa1YvUNA8k7lTh5opWHPlrG8rcQ9B8UYO3zPF4cvhDBL6fi5FAL7gatAjOLcbXV+qwf1c8Pjnmg/s+OIjKhmikr7RAaTZCH+gFpdoAoasc8ZV1cF3hBpyrRal/NKorJUDiClhWRENrlGDN+TM4mbx69L2L6GxATVAE3FzE6O3Tw2CyQDHYixtqC/DWmtugViiwoew0zkasvLxtypigJWSgCZFdDciNzOH7Ck6VFD7TqjgqdkkcIWF6qW14u3btWh407du3D/fff7+9m0OugIImJ1Xts+KK53S4BUy6b03NWUhNehxO2gKjWIbV1Xk4GbcaqeXncCw4Cd1u3lAqRDgfm4HU5lL+HFf1EHQyORpDrWUNmODSWhzqjsSZpM0ICdMhKpJVdbKq3JjJay8FVTXglFc89p9gQZoAnske8NvuD5e+fuh93SHUG+B1qAIXUrPwuxfcYWobwpq+VvxA9zmuWzME+aAGxtuygNfOABo9LGIxCt1CUb6/DL9TfgGJB4ug1BlR4R/F86yyNU1wiffHfWvE8PMVwUeeAQ99LJ73FkO0Yzs2VlagM8MLaxQayE8VQ+ujQGZ7JV7xj0JekxZtgyJ8HnMd0l+VYFd6DLZL9JDGBkLY1s/KOyLnw0+Q9nAazh/pxo/61iKzKA+3Rd+He937cbuqEWaFFI2P3gJTrxpZLiKE9jThSH86ipTRyOs1YGeOBcGtxahZk8oG5tAWGwGz1oigeOC2kk/xqTYHfUIz3CJk8OzqRV7mSiQXlaBghXUvuNzU1RCojRCZhXxFHStDUOgRCl3y5VGh3BWrRquGT9Sn9ERPqBfPm1uMkgECixk+6m50K2nlHZkfbNsRT0+WT7l0PrpYZfAnn3wSBw8epKDJCSyd37xlUmbARieWzzr/aXR6TiTAZ0mbIbCYYBKJ+ffHE9ZAbzbj07B0KHUarNY0wLNXzVfLuRrVEArNOJ++ElKpCTKZCVIx2/IDOGBOwrBEBHcPI9ITRiAXsDpMQqx78V8ovX0LRN4uOBS7Fi7PHEdAdAjukJcj/huJEOsNcK9qgLxRC4tYhDd8VqP6N7WQuhtxX/3nWPGz1UjRdQK+UYBUBOmAEQj2x2e1Hvjs7Wb0Ng6jRxEImUs/VEoh1oYK8OAqPVJHWuCpEAAWJeBdBQzrAFaGITkMyM2zdsQXM4A3jwE3hABebkBmNrRKJXb/7Rg+jFgFv9+9hIwjZXhK9BWcqZXhtx9KcU+qEF8//gFcfOXQ3r8JsvZ+bM4/hff2mPF77xhs+vw8Ctq90B/kgt2eI/Bvb4fyWBmqvr4LKdIeDH41A+cPKaAoaUBPVTckX41FwplCXFxrXaEmGxmBykuIjusTsOpICYSNZrT5ZSF0pB8j3io0rogcrY3FRuVS64pxesVKqMQCaLUCGE0WNCg84X5pKo5Pydne77HTZACCBlrhotWgICSNF7sM7m9Fq1swfzyz1ZoUHt1djRqfFeOSua8lsVtsso4+ziSivw6NbmGTV/IRMkFHRweys7OXVL+4u7tDoVDg3Llz9m4KWU5B07/9279h//79PFHwwoULSE+3FvhbCq60Yo7dt7KJ5TpZp+5GV8dNmJqzPZfVA2LYYyYBMGiwjkys7qpAWbZ1VZtUYkJJXBL8h7r5lN/204dxePeNEEhEqK2WYHhIxPObMrPUCGlvh0glhz7YG0V3bEXSifOo8AxHyQUPNKZux6okAxK2JPKilKxgk0Kng7RnEC90rsBrwypcp9PhNp8m7HpwBdy6BoB1SRB3jkB49CLq6mrwF1Ma+tpLENfdiM7wBNzu34v1sUOICxZBlJ4EnCwF7lgJGA1AHguYBoHIAOCdE0B+BRAdCKxLBN4/DtyRAxRWACkhQEMT5OEBiFsfhLiqs8DfbkPnuSZYJEZUvl2Id/2z8NwZF1S1Z+BmcT/Wd+ihCPSD6ZYcuG5Pxg8HB9FcWo6HPO5BsVmG2P/4Jwz/mQXvR2+EwmjB0PZUpMKE/1IdxQ/CNiHfJMCXXjoJw9fTIWc5RgYjfOqb0JwcDR8XGfLMGfDOb0RVhQTytHCwP6ajL1agQ+mNtsBg62pHd1ckNZWh3j8MSd3VOOyZwHPRFBBha8VpnIrJGd3HLrGlAlX+MchquIDigGSUBcaPBj8miwjDMmsVcYb97rC8pm4Xaw2v+cC3enEPumLA1aPwpoCJXFF5eTnMZjM2bty45HorPDycKoM7iSWzeu6OO+7AiRMn+C+fI5rP7SVsW2MwbpqB0Q+9sflMY1/XtprKVlpgTc2Z0WBLZ7HAcOlDrTh9FV8tx7bw4KMbChEMKhnCupsw7OUGi0KEoUEBWpqtQVdGhgZuLhYMRgdDE+TNE52FKhn6RCpo3q6EGUKkxFlw92Yt5GIzZCILv/WtisP3tFtxoDsEIqEF6x4MwjdGTsPrVBVEJgGktX0Y+ccZfMt0Hf7f4Cp0dRvQHB6FTVEW/HX7EB5+IBCJ/iaIUoKAk0XA9hTArINx/ynUaIQ4rPPC/9W64wVJAk6+V4tzPz+Ev/78PH6KTHz82Cf47MwgCk42Y7ixEzCqgbIa6zVKquEnVOPrLZ/jtzt0eM/jOL7cdxbBXc14pi8Grz92Ac3f3w+hqwryd85D7O6BiP+6AZ+V/BqZwlb8MeU2fO9QJHrer4ZnfQvc27vhotPA5b4U/JfsU6xvLMDfVetQcNYCuckI1fAI2tYkQ+fvCbFcjKwMLaqjo6HVCtFQL+bvQ1toEMyu1gT8kJ4WuOhG0OHrz0cBLyamQSq1/hP27GhCo0/w6HvMbmyLHOZCaCqMYvG43w0W0PS6eI3/XREJ0O/iecURzImjoHNd8TkR7WlHZuPw4cP8ePvtty+5Dlu1ahW0Wi3a29vt3RSyXEaanPmvj7lOzY09z3+4E/0uHuPvv3S9savk5HoNLGYhhpVKnIi3Ltdlo0zDrHQ1wPOY2AAUm5YTwsI/sFcXnkHh6izUrlgBZZ0BQpMRvvsrgJBshIXpERlsnXpJOpmPlusyeE2mEZ0Q9ccGsD9uE9wT3PGF64b4CJPy0tL8/hEB/vA3Cyz1zTBHROMNv08RvTIGFnMShE29MIcF4+BxPfZ1pqG3vxvx/c14wFiGeN9gKEVDwI4Ea2lxhQCWP+3HhXt34/NPzdAfLET5sBfE+mF0KsRY2fI5Oly98NeoOxHW14YKdRhWvF+Ld/y2QNsihbFFwPaCQUSJCXeqXZFoqMWa0kLI18YDPgqIypqRHuyDtK9k43Dbapw8ZMErMhe8q9fg7tfLccN/ZMJbIIWosB5YG4nfrW/HH/d3418jsXj7kBB3dbQiIhgYTo2AMUAO00OZiCqXom5fJ7SH29HgHozVll6EnCpGV5A/KhNjsaK8GlG6Qfwem9HZIYafvxEqH3fodUL+nkS0NaLWNwwuJg3cRgbR5eoDX7kRLToBqt0CYDYNI6GlAuWBsfx96VF5XarbxJK+rYUux62Y41N4tr+bxm/oy3hoe9Gr9B59Hq2EI/Yuasn2a1tq03PMrl278NJLL+Gtt97CI488Yu/mkOUQNM2WTqfjt7H7/jizKt+YKe9nI1CBQx24yLKMWTK3Ts2DrPSmQhxNXsfv05nMEOn1CBzphdaL7Rg+/kPzQlI6lFoNr/7dEhKMumYFmkOysaXlPJTXsfOlSDyah+pNGQitasRITAgOnFBhJGojctS12LoxCIlP70fTD/fw6w2qBXj8n55wbWyCwc8Df3ywC2GBSbAIpDDdmIW2bhOe/XMfyltEuKEuD24rfHHTHf7wzZcD6+OBtCigtA6dLUN407gCZV0ZOPiKO7/2+n4F3DX9OJuUjdu78qBcGYRkbQ9uEeWhY2UsHio9ha7EAESFmyAurYS4qgWKrj78ec1dyK0TIOf5v+J/kjYACm9s3eCGnJWuEET4Q/DBGWy/fys2ufRh32eDeLw+As8NqfDiyxL83j8PiffFw5gYAM+/fITv7oiG4EIrFEWdeD/PA7t1g3C70Rvy6k64lrdh9bYMWCL78HJvKsQXLAhYp0W4nxo9kda8oq7wIPTGRiPnSDP6ak2oqgxDWro1wT6ithbtPn4wiMTw6utBWXQioAOy64sRppciNyABzVIVdMEe15zkvaK7Cl1KX759CguabNJbL6BgTLVwQhYT29iW1TSybXS7lNx88838eOjQIQqaHNyyC5qeeuop/PznP4ezGFtjaaKUtmKU+cdBK1bw7+VGLUYU1nICgwp3DLh4jI5adau8YRILEd7XwK8V1tWIbqMFjSpfyOQSeI50Y8DVE95DPVh5MR9nVq/GxsKTvMTAkEqFEa0ELc3WX5eYkBF0q6RgM0MmVzm8e/vg2dsP5VOl8JJkwF9sQdoj0fBwUaPjvo2QwYSIH7+Ot/qjECkMhqdEh/u/LkeErhsiYShkn1xEU50BTxb7IaCxEeaYNGxY7YX0/7kdgif+AezdBMQEYPDu/8KrcVvxpjocYT2VOBuWzEexNoWrcWOcBKm+CoR0fQxBjBlYtwJ4swnoGQEUJuAWD6CqDgjXAkOtwPWBGAhMx3VHTuCj1EQc0W7BIf8sRBc0Y8Wb/8KxpCRszBpG9jfWQNTfB+nIAO7WVmDtRuBbFZGoqR3BwX/1oav+AjY9kghx+zDkIhG+d78Qn1y0oHVAgm8Yb8Srv3sH7mne0AvZ9KQZ2Xf6wvuxf+HZkJ14ozAAX8/QIvnQKVRmJKI7MhhyI+C53g2FBhV0WiFaW0UIDjbDrBRD1TuChqBwrD97Cg1hkYhraEBhTAoGzXKgTw+9yQItG9G79PsR2tuELhdfXsMJl0aLbJv7zqTaxxqID8qtAalNYWDaNf0uE3ItBgYGkJV1bVtHOSq5XA43NzcUFhbauynkCpZeyH4Fjz32GP/HZ7s1NY3bHc3hzZQ/Et1dMy7nyRZohfU2QWrS8e9zY1fxY4V3KGo8gmAUSzAQGIitRUd4HpPRRYrT2asR11CFkxs3YPe+d+GmGUJ1ixIWiwABAQZ07ErjM2RsE97m1cnQBXvzEgUfIA5h/e1IvCMQEb5GBBwphGJEA5kEONGiQj78UZiYioev1yCmrg7yc40QC6TI1fjj6+UJaDW7ouD6G/BSUg0yvrsegseeA759I3pGjPjJ62o8ZcrCwR4fXkvKtCEBv72+G+czPsGfsi7ipvUWhEZLIYjzA/78GdDaB0T58BpIcBEDF1sAiQDwkAM9g8AHBXA/nIeVKcBPZLn4XkgVnnlYh6Db4nAiLhsX4IdflAbgnv8eQumL54B3jgJ9/QhN8cI7UQX4jfoIKnwj8XqLD179YxPUv/kyxCoVZJ5u2P5IKHLcumE0C/Elye2oSk+F+oZ0PkXpNjiA+NsCcWvDSfQMiPBhawhcR9QYXhHM+zT5ZD5WnjmPhGQNf+/aGwQwGCwYCPRGa3go7n/vdZ73JIYRdRGRfLNfiVQAuezSVipG8+j7P6Bw41umTJyyHfu7MdHEauIemj5E9dZan8v3tbt8no23uhtS8+XR24XM5yPL25YtW7BUxcTEoK2tzd7NIFew7EaaZDIZvy2mmT40riafyXZOcWDKuGuXBCWPz1kxm2CUSNDr6gGdZPymq2qDNZfJVcpW9pvw9nV7IBWaoFNYxynKU5MglZlQvDINpk4tevvFEMosyEjR8BGmuLxi/iHfsDoZIgtQtq8brZ7B+IKkBeEpZrgMD8OttgXK3n78rj8WQmEEhtw88D/39yO4Xg5hVCgQ6IdjrzfjkfI4JI1UY32IAf+2uRXKQ53Ab0thGdHg6DN5eMS4CWuLT+Fs7Fp8EUW4aYMWUTgImD0Bgxb43SHghhSe66R2U6H+4VuhfOIY+uWu6A7PQn2eBwIb+xFTXoiGm1QI1KkQHOgKj4vNEKyJBJRiCDZEIfnoMSTfkoER4RAO1ovwZr0L7n77H3ho0xfxLYMRt34tDp4KQDLQj5vuj4bX8W4c/qwDhTpf5P9Fj//KsED5+hmIAlyx6243nDtdh6PDgfjNP13wq4eGoFJYINGo4TbYgxW3R0F6Xo/qQj3ev3kPrnv/MMpvWoe6zZkYMQDBRiOafQ1Izr2AQfjBsMUPerEI++68HSMmOeRaDYwCKYR6CzYUnYLRaEZYVRV+v/4+6MWAWCjAsEIJs0XE97BjI0wTi13y7wEo9GoIzKyMhWxS3lK/wpPfxuZDTTzHJBDxjX0JWWh33333ku1kVuTy/PnzKCsrW1J76y01S+b/dF/72tcQEhKC5uZmvlv0ihVXLv64lLlqhxHbUc2/HlC68yXdrNig1KiH0WyG/tIHX4y2C/79XdNe5/zqHBw3RkMnkSE8Qo+gkR5+f3NKDA+YmFNFcog7hxBmGUDgPdFwL6yFaFCN3tty8N7qG/B+ngv2pWzF7d/yRVKwAcYN8bCEeOOdvmD87Jwvrqs6g7Rb4/D/bpJBue8o0NCB/q1Z+LhOig9P6XD7qX8h29SGv93Tj0fuEiGqpQ7wdAH61TBH+6FB6YO/VAfjltINeOWH1bi/KAdbsh/H066b8dWIh/CkYQ1+rdyK7yY+BOk/TuAHrStxW/lGrPb9Dp56V4FD9e4YHrYApa3853EZHMSd0iq8mFSE5od3w9WgxofDAfjG34w4c2aA1WMALBas0Tbiq6pGFK5Ig+FUFb5ZmQz1+iRYPJS8TtV3bxpCjr4BhrZhPP2BO5shgzbCD7KOAayqLsTdblW4q+gQPjqtRENaPEzsumMkJGpR7xmI1HMXoOkxQWww4JYD+/ljsbVVo+edTF6DM+nrUOPP8szASxAwEd1NcNMMjhY1nY7cqOMjkVeLBVVG4bL7+4ssMpFIxEdjlqrdu3fzI0sGJ45ryfyf7rnnnoOj8tT0wk03iAaPiHmpzTT2/rFlBtjIgVI3Aq1UjmG5Ky6q4seNZKl0Q3DXDqLdO5R/L5MK0e4dPFqXiU3PqTRDCGlrhqdhCGVr0tDfL8DIiBAikQXxsTp4Ng5AE+AFuMohFVrQ0y9EXqkUX26rhM+OJAiTAqGVmKAaHgYOFOH/+hMR3teKO9IHsCPCDTCLoXgtFye8kvGvd0ewerAb0XtS8WhILQQuLsCXtqLmcDV+9ok7hD6rcGvZ5zB+63rscW+A6MAH1pVzKyMweLgap9T+KHm5HW+H34Fdh48ixEODt1K349uF7+LE1uvhviYAT118D0KJCLKRYQSXV6MnzA/Rwl6syz2J/UlbIGytxGNpO7C+SY9bBpTwOTuEtNWRwAsn4XJzCL5Tchp7/IBHg2+Ab0EZTv6yAZokGTb9TxYErnIEfNUDz1h88fcflKGwZBhPDsnw42/GQ3K2BP5NDfjeBk88dcCAiH3ncH7YD2tXCdH1peswrAUy9Bb8QROMwREh+o51Q7kiABIh+EieQQj4eJjRHuOKd5XbIGpV4J6RM9h/661QDqtRHhcPocXC37MNpbkoik5CoGGYv5dqoxkuUhHaPf0Q21LDp+lY/SbrSrrLxS5ZFBfXUcFrKQ1LXafcVoW5UmK5zKhFZF8dKrytiw4IWQgsCXwp27x5MwQCAd9S5fHHH7d3c8hSH2lyZH0Kr1kFTEkdJZAYL29HMl1tJhu5QQO/oc5x93loByA3aScFXezWp/JEVUAEtJeKWSrkIigNGv7By27rSk5DJjSiJSIUFzOS+Wa9jQ3W0Y/IKB1c5RZ0JUXyXCaJ0ILAi3WQ/eUMHsg7gOqtqxG50Qs+JdXw/bwQquoW/ATXQasHkoJ0uPM+dygOFkOsAzouDuBHx71QHBCLgDtW4tHKgxAUVgKR3jhxug97qtIhb+tGR2o8sr8cgztllRAl+QNucvT7+eLnLcl4rDENTxuyMKiXIKfjIpTpfrg/pg1veu7Hl5Ql+Hvvy3g6PBd3hzbjTtdK3BLTjaw9Xthxvzt+L/gYu5P78VPfc9gsaUS2vgFdMjeYGwfwP/sV+NUftKj0CAa6BgERECoexqtrS+B7awIOr1iFhzxvx2OvDMOg1QH55cgKMuALT27EfSWHcLrSgt9+JIfQ1QWCYB+sKLiI3deboTRoUXRSjaGSXsiEZl7DKaC5BTs3WwOS/5Ovg8/RMh6IWvsXcB8YxH0tRyC1GNDbI8appEwI5UJ4D/fBTTfM3zNWJTw3PQcjKlfs33wLrwbOrqg1W/gII1scUO8Xyt//+PaKcb8rPLfNPw5mAaukPjkwSm4rxmyw6vSsQGXQYAuuBRsJddUNXdM1yNLD6hcxsbHWUhpLFVsV6OXlhdJS6/ZVxDFR0ORASv2TYRCPzz2aCcslYXkoNiKzAb7D3RiSq8YFS7bkXva11mLhH6pRfS1Y3VyEpOZyCFlRSqEF57Ky4aJXQywwwyIVY2hIgFUXzvNRpvWSutFREJ7TdCwf/a1GvBB8HV5ZtQubdrtCJBdBJBNB5C7DP4UpQGErdtccx3e29MP9B/+EcFgHzb5i/KtYgr1n38fN4Ro8FtwAwR1rebL26d8exYtv9cCtvw97Bi7g7bRzCAmXsloFMB0sxNFGJQ7+tR2vVfrhYMx6bFWX4eaYXvw2Jh+Plu3DGjTA/Xw1zF6uMJ+oh/lCK8yucphlElgqumCuH4BZIoE5xAPiSE+sEPcju6Mcf0rKw082N6M3Jw5notLxiscqXK+9C78qDsdwQSvYvjHyhnb8MroUj6a2QwYjug5X4+GLUdCuj+N5VTlhJqx/MA1RA61oey0fHzZ588rmArEE1+30RN2DO1HkH4v/q4uE59FiWEI94do7iOu6ihEfpMMNpcdh/KjGmmB/qY9FMjGMwe5wD7YGwK3NYv4+dQf7Y8TbjQdMa4tPjwa9Ila+il0AgMZg4u/3ibg1o79TfUq3SYne7Gu2P5zEYuCjlmN/Zyp942Yc7Rx7rS5XP7R4hEy7UMF23ZlITAY+IkvIWMePH+fH1asvb169VMXHx6O7u5tXPieOiYKmBTTTB0VKZ9H4LU7GfACxv7hZTRzbNcZd81Lww6t5S+VQGDXw0vTw+9mHY0Fo2rgK4DbrKk/zo1ZvTQDXq1SQwISSmEQIBebRwKk7wA8xddVYmXeOlxj4jI2stH2CkO7O0REmdhtYEYIDXSFIbq/G+iQdAj1MvNq3ISUUzUlxePWkCsVBsUj4bgp8VoXBdM8GmOIj8Y9zSvwpbTcO774Hv0rqgMhdDlQ14v2QTDw4uAE9Cnf8sPcwtj0azYs4ItILLXFROLR/GAfrvPBC+s24rS8PL8Ucwf9TnMNKWQdEHnJYVvjB7KKAZU86LG5yDKWFo6ENKCvQ4YQ5FG1VOtSOuKDvcAMsF1qAii5YBnWw3J0OVHQivqIMd95kwUmXf+AbOAuJ2YiOkkH8oi8LF/pdgIOFwJMfYHtgN57fUouT8dkQfpyPv/y0FAb2l3BdE9bIe7H6K1kIGOrGj88GoP2NUpj+bRcUx6vxc8UpDAX6QFjXg9dds+F/rAiazfGQGXT4cdP7OJiwAY8n7UV3n2h0tMnsrkR/eCCCUsTYWn0GXZ1ivtccf69ELEiy4GzmqtGgid0USus/aYPJAsOlEcqg/jaotIPwVFurx0/8varziYR+TPBto58mgBebpx4NvVasDba98AiZGDRt3759yXcKK9LMAibah85xUdC0COK7y3ggNFaJnzWJeipsafdsiwjqRJLRrVSmYnvdk7GrYbJYeC0fRu3jjYaAcES2NmBFUw2UGvXoc1RDgziZko2w4hp4qftRd0c2qrPHt7emU4YKvQ86vP2wNcOaROzxeTGkLb3o+X+fIKumGGv9+7BbYV2ubl4bjz/rk4HyFsRqOvCi7hAUP/s70NmHs4owlD3+Cb5/5B/YGTWMnRkmiM83ABo9jjW74tcvAGeVkYjpb8IPXM7giaQSrPftA9KDgRO1wIAW/UoVCgpM+FFjFh4y7cYfG+Ox1eff8Dv1Sjxkug37RIn4jToHPxtcgzebQ/HlqC8hr1qCxloTUNIBVHYA7xXBW6TDI32f41j1U4hHFzrEbrhbeg9+uf1rMH7/ekAixoZX38ILO5vQ6eWP4g4JfvSeAJZ/neWr1L45kgf9jWthMAvw0/IImP+ZC8MN6ZBdH4fvbB/kQegnnxrRJ5BD1DeM4bhgSOJ9kB6pQ2JHLfLOAKFnLg/Pi3V6rC3OQ8HqLHiMDMLrpLWsxHTEIgG/MdpLCeF9Lh4YkSlRGpKIgP5r36Yhpse6wICQxWCbrmJTV0vdXXfdxY/vvPOOvZtCpkFB0yKo9YgaV+OGmWlHd9soQERf/RWv3efihUZezdvKe6QbUV11/Gu5XouU5tLRfCjNpYResVgAqUyIXk8v1IZHocfbBxaxAHKTjo9gnF23Gl1dQtR6BcM1UASlm4BP17kMjWDd395D5usfw/W9QgjNRuxRVMFbpOGjTJptySgX+KJ4xAONXgF4quU9SCs7ITtYhI6XC/CXo0L8NWcPvnm7N7wb6oG7N6LzTD3+8VoHQntbEeFtxpd3AcIYH0AlRfG+Rvz8gAeS68vhpgJ2XWfB1qOHINQYYTnXCBytRVHOKhw4JcWJD0bwojkNlW0SeLV1oMw3AjGDzVC4CJEk6ERfoB/07gr4aAdxIG4DejuMQHU3rvP/Dh73vwX7I9dBKxDDklsPs1IKv2NF+OrqHqSvU/IRvKKTQ/hKYTpGVEogUIXVAYP40fZBnAlPhe8/PsDxMgOvASXYkY4nK95GmrEdg+0a/MlzM6SnqiGSyHBbVwG+1fYJAjrb8elFF3gfLoRQJUfv9nRsW6lHQmctirtU6JK48yk6dks8U4iyDZmIitAhs7UcnykS+XvIiiKPHWHiN1b7gZfVsK7vMBgMyKnOg1qmhFEk4b9X1mm48dvszCSz+fyk80r9k674PELmy3KqXcQ2mme5TceOHbN3U8hSXz3nyKaa+piNQZnqih9uLBgzsWSWS+d1qXzRJvHn36c1FvERJhvdpaBJLrcGcLYpuSF3N16TKaPiPMqyU3H7G2/hx7EPIEjdhTXiHnjVC+Cu18JNPYLqG9eip9WE3gu1WNleAb8fxyHpv15A2w92Q+yjwOsnXeHlGYiHVOXwTAmAMTkclsoefH6gE0mqSsSuCcQNF08AcjH0jZ34jmgHlIYGlG1ci7v8iiEsbADO1+FjeSwk52pwv/cHqLp9M37WfxCS9BCY/dfA0qNGVbcChw0ZCPi8EYHDPXg+53bcVnsMJrkvQkOMiFSWwuN4GczhXkC1EOYgNwjacmEMV2Kg7hwqPcNQnpoKhUWH94NXY6A2D38K+zp+0PMxNoh6IP7mBoiKm/Hojnxsrj6L/7VkYDC/A//Z5IsnB7SQHyjA6p0p+HVnMb6H2/BniRQv+WqwwaiD/OYsPBoZhp/9bz3+WuiKO0Z08M0RQxjkjU13mvHeBz74q9EXmTtC4eVugcxgRmrdRVSnBbEt4HC+3QNJbMNkNkL4pVshNQBhQUb8KykbkiEd3zQ5bbgBra5+MIjd+Puo0Kgh0YsR1dqOi15RGGHvt0WIEzErIRIIILhUo6nB2xpg22o2jZ2mm1gtnJ2TF74Swkujk4Qstv7+/nHbXi1FrC7TWGxE7eLFi3yvPRsfHx+EhV3+45jYD400ObCx+35Nx3u4B14jPZe3WxFdXgmVuyJnNAfKKAD0RtuqOeHo6ITSyFbPmfnXxelpPLn4hZvugsEgQKS6HW7hMnStCIWqtx8Z730OVWcvDumiEd/VAPmaECTk5qHh+7dB6KVEWZMYa/cdgKd+COu+mwDzrTmQFjbi4rEu/DF8O0xuSvwwWweEeAPf2oHjVRbkmgMRKBjBozvVEA+PAGGeOGMKwG+GsvBG5g0Y2ZOFJ9xOQhzsBsuJOgx16PD7ziQ80Zv9/9k7Cyg5zittP81M08PMPBqURixbkmWQMbEdU5zEcWB3g5vNbrKB3fxJNrDBDXNsx0kcO7ZlkC2wmDWSZjTMzNTM8J+q1ghs2XHIEPdzTp9qqG61qj6pbt/73vfitYcoWBxnpjSP/5bs5Zp8G9ckz1I11I1pdxuRQIRASIKkZRyaRohMOpF3z5CgjrIi1cVd88c5cfw/+crsE6ya7mBaauDB0DLulN3O0KSMqExKtGOaavksX1LspmGqkyeUVby75H34VxfBoye5rsTN25Z5iCLhs4+Fcf+/R6CxkCuL4FMzL6DxefjvhWWov/gEihODlEjs3Bk9K+7/yBE9ibvOkLL7DIGcJDabJ5FFwlgOd2FqHSb/cIsoCBdOrVwGmRlB8hYncI8GWUhLJG12UtQ1CedOEPDrgh7mLFaxhChkEwWE7GLkIhdwYWt1z1M7fOaSgGnF0Mlz+0jPC8JfrUbvxYasryaDFSfOq+Gxxx77hz1QQiCk1Wq55557xPEwSzdBCO50Oi95TjC7HBkZeb2/cpx40PTm4eIOuCXEURk6w/luOQHBsqBm7FKRuSroY2PLHgrmRsWWdKXyQkln89E9mD2O2MX33M02I2HlyFmG1lagDQeo33UY4Rrcv2UFkyWF9Iwo+Ob6e7kyZwF/bjISi47EfWd5/LAKWSSC7o5lpCiDKA90475pPT/ylFI70c2n5S0kHj0Jfh+9PzzEYZsRq9vGHetDWEeFMSdSmlpDfER1vTj+o2BjIv88sgO2tcHT7fRZs/hlUxKPyGroSMknT+0hY4WF61wdpDgWiIw6ke7vgzEbIYkcb0oyEVsEV242YR94crPxpCQTiMiRHh7Em5GC3Btig36WG5Z7+TfVSW7oPcRNe5/hK4sNnB1XExGCjkCYrL4hblvj5iPHfsfxBQtf3q4nemJQHNPypc9/jHsnDhCad/OIPR36x6Gtj9WNCWQEHcx1L9ChSCfy/muJrK/kinND2qPb25Hu6Ua94CBq1aO4s4a05CgOuZYum5mJ9dViwKQJhzC63ORmBWhPKWDco8ejVuMyG8VzWNPVgs2agM1iwWE2iedQrYr9Hgqc0zVdjCbgpTvl0vbtE7mXnxxfP3rq8uvxLwyM4iNV4vw5PP/88/+wB0zIHAlZJsEF/OLbhz70IfH1//u//xMf/+Y3v8Hj8YjBVJzXn3h57m9NNErxQg891gvt2n8vSqZ76EwvueRCtLb3CCNJWdQNNbOoNTCYlotbq2FbxRXkTPSJhpaCgdrqtmM01TWwY/1VhOVy7njqUfZfs5GASoule0LstJKkB5lJzcI0s8Dk6koSXQ6ax3REohJMWWqSc9VEJz2ophboyi4i99eHOZlVzo92P4AsfZWYHvntcTkDEguK6iIa1ePQPID/5lV81HQ90xVwd8k8FVcmw0knsyElR7fNcpPkBRoVU1x5fTYoMonqlIyccXLgWTcKiYIizwTfOfJDLIoggY1lRKRh5MOz+EuywOFHNjQtttePSKwMZuWAP0AkQUqK205qyE4afmQmHfKROYJVGcj7ppBa1LwjuAdXsYYvpd3A27Y/za7UQvqGAtxiOw1vX0ZhgY6r3A76uw6wrLeJhz5yF/fW2pGmW7hveh7boW5OR1Ws/W0zxaMDmD5yK9d50vnRbj+PTM7x348fQ0GADIWX5fk+mr3F/Ko4kWvfrsW67RTa8XlWNd7Ckf5CWNCTGw0g9/qJugNoHG7KnbMMhNJQL7hJPO7EXpIpnvPugpf616hUUhpbjrCnsJFoNErGwgSyYIRpYyqj1izR6FIouzUMn6Ip5+WHoJ7Kqo+X5+K8bpw5cwaNRoPXG5vF+I8YOL247GaxWPj+978vlug+/OEPv27fLc7liZfn/tZIJIwYX7n2/Grmzb2SXcFSCWXSmPKS9+wtu4IIEsYt6cyZEgnKY3Gx0DVnUxtQqSRiJuJYdaP4XYWASWDbzbfgMRlEvUyvOZNjJbX82/e/i/DVBlZXI1HIsEzP0z6gEAOq26Jt6GYXkWoVpP3+ABO/7aFoZpR3+M6gXZaKVKpA+rMXaH+ogxFLGl+WNaG4cTl86jbO/LYNXd8Y39rxHf6551k4NSRmaR4YTGdWZSaUl8TatRI4O0Z0xs30nim+lHAtCyoDoRQT/zf3KIaaJITGQPkTLYRcEXwWC0c0RfxU08jDhuVctfqzPC4v4wfGVUxNhZB1jPGwchn7FhJ4fDadh6SVPJ+1HHtYgzcrnci4E9mpYbQBL1/b/yOoSmNPQQPD03Kap/UEFQqiTqHDbZD3B0/QnFHCk0cVtPeGxH9FOSlRrkpbYN3gaboOTRJavwwyE7k/Z553du7ENe1hd0atIChD89hJ3rHcQcNoO2faIPU7z0CCHmddPvUFASrn+slp70HWNEri9CwyKdhyU8UJyQXaRa7rPMhpfQF+vUbMNIWlMmrbYhYVyztPic8plbCnqFGcP6j32BhLSGPCkkqaffKStXUqp/a1L6ddxkgzTpzLIYzFSk9Pf0sdnLy8PBQKBUePHn29v0qcyxAPmv4O+BSa16R84dCYXuIWLry/L7WQaVMyizqL2KUXlkIoGmXSmCQGTUtc3HllcSxicDuQ9S8SlCnQZSt59LMfELu0clp7MDqd9OUWMTEvJ9sxjXVrLoGyDMIFKSyur+Tb5k081HA9+k9tIJqbAg3FnE0tJmVinM2ubhoqNXCkkwWTmfcV3sPJ7EqU71qNqsgqtHmxY8iIZniaobRsPqw9jXzWBTNujmvz+VzR7SS57KxZ7OG9Gf0Y+iaIzvkIatSE1GpGZyV8X9nIrz2FdEbM/GDF2/nPPb/Ao9Ozbq6btrI6ugurKHJP05VaIAZG/eok/jvvFn43msKDoUpcEjWe8lxk7ROEfWE2env4xuDvOVhQx3s3/wfP7YgQ3dsnZrIqtlqxXV3DmdQSPjbYgL8kHdJNbNZP8sf1N/Js5nL2RFPhO4+iD7nZkOonwevA88UnoTqf4Ds3sDrXx9bRk6icbqYmwqT+/gDWA+2kjQyTkKmkPyGTkXE5UZWCvNZeUdukdbpJNXr41vp34pkMYbYvUjzQI7q6tyyrEYPhs8Uxawghm6hQSFGGguicdqJSKWG57LzjvGBFESv3yl7VuvtTgZXV8+pLBxWz7cgioVe9f5y3bsAUCASorHx5e5Z/VIRAsb//le1F4rw+xMtz/4BcLAoX7gdDETQBH1a/k0hahij8FhAuskaPg8yJMXJnR2lfU4NrUVAdQ3JySLxgC5mmiZpijIooY80hUeuUb3RTsaMbxztWiZ/TOyLFE5Bizk2krngK+d5JIhuhZSAsjg/5xNBO5KW3w89O0fHsCCXyeu4d2kvj9QaoyGF8JszYyRGeKt/I/7q2YZoeJ3JVKfP9Hh49rOHtrbswKMOsCI8Q8JcSTEpAOuUgMuPiD2WbsE5Pkjfaj9m2wKrxTryDB6gY7+bG0TP4TQmiNYLXZMEwM8FiTgFSxzSz6lKyvAsMmdPoVuXi1Lu4xtdHYbUOqd2D0uakxLnIfasHeabHxrfTr2Uhe4h35rcge7yV/9kUJjBZR6c2g8d2hbk7dR71P63jzmcXON0zz1PNGVzxf+9GebqHmio97027ml0Lc6z/78ewpErRGJU47lrLXKeJHxXfzL/cGsC88wxSo4a0oiA5B8eZiCq4rW83O//lDqTRCGN1pWj6JrBMOKkc7UWSncBgYT7egBKDx0Vpcxt9SfkMmmOZToVciluppluXSc3cGA61EW0gNpJi+dDpl5TlhPXy4g66y5FpH2PMFCsNLqELuJnXJr6q9dn+Ch5lceIs8Yc//OG84eO2bdveUgdGsB4Q/s6ClinOG4t4pukfDGXwpe25gju0OF9MqNm8CJfeQFdxGXs3biIUBLs3to/VeiETIAmFyTjejr9llraUQtY6epm8foX4mqZ3As/eYfH+J2Z2oOieBI+fngOTHFHn8Pjya8m5rgK+9iiuD2zlP7Nvpic5j/xGC5IkvWgqeerBIdxyNRslQ1RmBMSxJTxwgq8HV+IPy/BaTCyXTRKpzkTRNIB8eIa+5Gx+UnYdP624lh+vuZ1UmZ91RjcFITv5QSf+hETCGjXG6THcCcmENDqcqZnI/T500RDvbNvBj7t/z0qDh3898jCnkouwjbt4KpiPNBAinJ1INFHHdUd20FDgF49fy3E/4y1OojdWYkjXcO1GCWOmFH48W4p93APPtbI13Is30cLmYy/wVJsUnj6O4XAL11VK8SlUtDs1hBuLkbeNUt+opnasi5lOJ87FEDJPAF9aAmu7m6ib7KJVkcFzH7iHrFOdJA6Micd4LjeddY4OXCotndpMojIZy0+dwKPV0VRVj9lpE7OGAkKmSSB0rmtSHOKcERuqe7zg8sLvJXTCbLtIBHn4pRkhv+yl62jEnPOKnxcnzp/L7t27xe3q1avfcgdvy5Yt4vbpp59+vb9KnBcRD5re4FyuLGLwOc/rQmrGms8/L48GqJjoOv9Ydu6CF4xEybTPYIj6xVLcEsJ9o9dJZW+7mHUy9U6R7phFpw+jVUcpPX5WNFhUC58TCJPY2ocwuW70kzcjV8vFcSru/DT+aKoXO/OWJXiIFqYiUSoIf/1psST1wWgrWqsW7r2S47/tZkKix5qqpOyGbDBq6EzNwz/iEIOx27PHINVA9PoqRoIGzkZSSPfNs7wsRFSvJuoKEUxJpCO1iO9b1vNY+SbyfIt8p+k35KQYsE5O41PrsVmzcZpS8GjMTORWopxfxCUzYldakS84kfoCSLxBDJ39XH/gGRqCs3x538/ZU9iAd8LFd5M3EXSECUdkhOpzeXfX82wO9XD/8cf5omELocNDRP/QzE3SLmoMCyxKNAxtH4Ut5Sj8PpZtTOKR6qt54LiE6PIi+MlHuDvfycrhs/RNRwnKlPjvu5L0LDWh4hSmdVbCDzRhONKFdmQaz6oiDm7ewoLWxNi4lLnyXJyZyZQfOi1m/rrXVYvaqbojx1l2ppmwUobG7+GKkwcZTsvGbjGL53MpRhaSR4NJsblwS3qm9MVJcQ1JoyFSHRfMA5dKvcLgZ3k0SPVE80s0d8KcuThx/t6cPXsWk8mE8jI/9v7RufXWW8Xts88++3p/lTgvIh40vQkRfHZWDJ8UL2ZnMy6UOoqm+2nNuuDWXDHehSLkJxyOkOixMZkSK6nICLOis0m879br6SwtF7VLQWeYcVMK148do+rwaUyz8yQOjRHVKhlQp9JvzUFlVVM4M4yxcxi5NEr0h4c5a80nWRfA8p7lSNUa/B+7mX+68uPYtEbqGhLB7UVIY00eHKFsZpD3pwwgVcmgIJFf9Kbxm7rrWWGaJ1frIeqPMO5QcOP1X2bUksrKZBupvYOEkiyEgxLa5KmcCSawcqiVes8YX2n+A0qdHuX0PIGIiqgngHpkCPXkBA6pHk9IxmhCPvrhAQxjA0g8Xub0KTi0Vqbyl7GQXoA9NR9LsokqjR8pUR5LW0FvfxBpzxTyp1sJWkz8U/gkw9Z09iRW85NlNxF9ew2Sjik+nt7GytFWPrLiA9hPjMPWKrauhaSAnZFBDz2WNLA5qf/Zg8wX5vOtVXdzSpWDVKlE/fARlqe5SXPO0hJMIliSKto3yPwB3ns29gtz7S8eQxkKEdWqGLiiTgyaEhLCfGfdPYxipbWumrO1tQR1ak5X1eEx6ElemCFzZly0l8i1T4n6JSFwvpglTVFEIiVwmczRqCULn1yFR6l9yWtx24A4rwVTU1MUFha+JQ92cnIyarU6PoPuDUg8aHoT8OJf+oNJeZzMbRDvL43HEG7tGeUE5Rcet+RW4VWoxExDW0qBmHkQMhASuYTmimoxeEpamEUZDohZp6SRKWZ1ZtrW1dK9ro6uzY2k9oyw/DfPcVadTX9iFtf4OjANjCMNhVFPLzA7FRaHyV6pHkeaYED1fCutY3LqzxwhaNSzTOuGt69m4VcH2G0sJcHv4JoiJyy4WNzRy/OTyRj9bm6QdhPNMEHHJH3PTpFqm+VGWzPrFjrxFmQSdQQZSM3nfRX3s7uwkbPl9fx7x3OikFo1MYNQlQz5Q0xasvGHZMidDqzj/VinhzFMjYoml5FghBFrISqnnaAnRNjuIeQJE3b6Uc0usqn7FJUSG2uHm/l/K9/FL7e8k5BOg+q5s1ifOUmJcpHqiW5+Zi/HtWtAbOVfe3g/ycYwc3IDv5FUCbVQEiJuVqtmWDHSiv6D/wfCQOT7trC+AO47uY0943rUvz5AeGu9WKZMdNt40Loaf2k6kUS9qEUSuvQEtqcvR7/gEIMlASHxuLrrNBJJFLXHK2joz5NonyPROc+iJYHppGTxnArZQHGdRKMYvE6SHDHBtmA7EJEJXZgy5gyJ5M8Piv5NglGqwPKRJrG7sj3t1Y1MuZzBZdzkMs5fiuBfFA6HWbNmzVv2IApWBENDf3qUVpzXlnjQ9CZhKRASrAZeaXadyWNnZd8JcuZi7rHhcxkGr1pLimP+fMlOeL8kGsXktlMy0CNW+x6o2ipeKNPldnJauqnadQyJTMrZu69mYk4mlosiq/OZuaYB3disGDg9md4oznlLrk9A1jVBpDgN1/f3MGxOpaDSimL7Uegc4g9bbkMX8FJvdmJ+eB+CX8Cjicv56vbvsjI8QlqpFjxB+lfU0qLIINFj53brILKOSRRto0TnXfyX6SpyZkd575mn+dSJP6CeX8CrMCB3LBL1+gn5QiRNDCB1u5nQJHI0s4IfNtzMU4W1dJkTeLx4DUNyLT2GPGR+P5q5afyBMOrZaTxyLQ5zChVjvWydamX1SAu/NtQzrrAgcXkJJhvIsobIkDr40J6HedxUB72zQu2TOxePiw7ffxhMIurywdeeo1Y9j1Ol43NX/zPRQ+1g0VN7RTo/WXkr3a0upF0TyHqnqTzbQndWIf/vj9+ho7oWeSiEozoXX00Ob2vbTY86nZHMLBT+gBg4CbewWkGjvZsRcypud8xCQrhNJaeyYE4Qx+qEZbEej7GkLHHUTigSxa9QIiVE1VjbS7JFNo1J1G0tGz8rPj6ZHQvKl1g2efZl12ScOH8vEfgtt9zylj24DQ0N+Hw+FhdjGsU4bwziQdObjGSnMNz25e307VoTJ/LrxWn2GfPjYoZBQCqTogr6RXHvEhGZjKG8fDrLysWMhTA6BaIoExT4dGrGqwrp29JISms/tfsOUzHVR3ZSCJnbR9BqxJmSSGDYztauQzQMtSMdXQCbh745Gf3WbCprzFBXCAkGzA/uFEXT6TcUQVYC0cfP0HbKy0dv/CQp12ZDuhk0Cnp3z7O9ZC2faPo9FfNDBAtTiKqUPFV2BeMRHW9vf4GywDzyaAi/Vo8sHEQeCaNzzosdZmfTi9mfV84dd/8XH7/pYzjUKtFw87e1W3i4bjM/XXkNn91yNw/UXovebyN9uk88DnrbDNaRXvzmBOocY4TMJtQBP3vVhfjTk5D6wkQzLfzzwPPin9E+qSSoUhHNtVLW006eewr9wCQjT/aLWq3sz17BmcJlNKmyGLSmw+AkK5imYboL3fgUQ2/fLJ6D4H3ryCpW8683/Bud02oUM3byvvcMI+++iubljThUWqJnZ6h4dA+VzxwktWeYvrpyRsvyyV8Yp/R06/nzmTsaE+SbHTZKh7pFewG5JHo+ePYp1Uxa0mjJqXrJupnXW/Er1BzPbaRwtu8lr3ckl/1F67VovgdtQJiEFyfOq2ffvn2ibYbQOfdW5brrrhO3e/bseb2/SpyLiAdNb0Be6df7jCGF0YTsV7YakMrE8susKYmwYJa2ME7hwjgTKekEFRf0K0L5JnVykoK+XuQLsQubTh0WRpcxW5SDJ9mCwuOjv6QYu1RDtm2KNc88R+VnfoWhZ4zhWRnRqIQnrrwR5T+tI5qZiKRzioVZP3e0PE99hQ4aS/E83cS2hGr6EjJZV+CH0UWGrl9DVlcPd53dwVXKAXi+k+CeAb6ZfyNva30BSX0m0hknYZWa2cICjgcTeXfTNvQWHapIBK/SgMztQTc3hV1tJhoK06/R84Ur72bCmMB7Tm6jbHyELZ3HWdnTScNAH/ce386KwVZWjLcyp1bwpfX3MqFNIhyM4pNpmEwuwKcyIPEFua9jFzVTPTxQcTX7y9cQshqRjtnIVzsZys1H7Q1wRhlzK5feXccm1SiLagNPZTTCB9ejDvp4j7tJLOfti6TBldWoUoysVCxwKLeG7ikF0bJsJHIFFRkBsmxTzHa5iFh0DH3yZsJmLZYMJbJoBEX/HGG9Bq9ZT2Z7P/JoBIMhwp7CFUhdMd8lga6KcnFrM5rpyi0hc3aCJL9DfG59z4lXtfa8Si3DlpeuL6EM/JfQay3Go9Rddp3GifNyCG7YwuBa6bnM+luRpSxb3OTyjcVbd0W+DlxO53E5N/A/9zMvJn1xQizBTVjS8ClVYoZhMCGDkZQstD43Nf1nz5dzEudnMbodLCRbcYZiwVQaNpJHJrFOzVK64yjJ3cO4p4P0WrMZK8jF2j7I/KZqZu/bKIqkT2WWs0I9I17YJRo1tpYZmpOLaCupJidsg85hjq/awLTeyr1jB0g+fAZS9bS1+PnxyltZrC/CMDKDkA/pdOm56dROunKLKNM7YM6Jon2c5jmtKI7eW7GG1RNdhKUKtItzBMISNM4FVC47TSn59Fgz+Lf9D1I0OUpl9zAffP5JkmfsXNtxkFUdp7iheS/vOvwMNzQf5mBuHWsGT3EmMR2lZ4FpQzrW8QGUizYcllSUEglbZjtYNtnDWa+BSERKRCh5yRW8Z3I/v6/ewjZ9NQiH3+lnbWSIyqk+zoyr4IVOONCNeUOeGGg6d3fAvA2UErLTlKQ55zkmy4T0BKQSGZVaG+86uY3C5w5hON2Pyu5BNznP6pkOymYGaLXm0/v2DbiykvEmGMWs4Q0n94jeW7sLGkURf1FfLya7TQyEKwc70AY8DGfkYDcliOd1T369qMESWDbShvqcX9PSTEPx/rm1FJS/9bqV4rxxiEQizM7OikNq38oIw3x1Oh3d3d2v91eJcxHxoOlNiDLkp2Ky/bKviUJwufTChfBc09TG3mPIw2G8Kg0rm4+Lz3nVGnHAbubYGKFz9k7BFAPTRdnY0pLo27wCb2oChs5xglIZiboQwXQLs2+P+absL455NS13DRApSEE6ucjZylp0AQ/LlYtI/nhAHA8ydWCAWsEKoSY7tuLqc3C1z3FN92GudraC00c0P5FDuhIW1UaqpdNIR2xEwxKCJgM7zOVUzfTxga4daG0LzKYV4dYl4FPqsWusPFq1mU9t/Yg4TiToV1ExPEzNXDtqnwup308wLCHbO8EiBiaUqficKv7j8YfFVv/TmWX898b7ULkXcKgsSH1eDJOj2FJzKQ0ukO6Yp2q4iw5zNtIJO0w5WD3dzube42i6xvGOuyEQYVnLafIXxlANzeDf1Q3BEKs8/Txct5XHjdVwuF1UcatuWsXm3mMoD7Qh/8MRlL8+QFaGlGfL1vGdutuIGDVo+ycIZCRQPdDOsoke0joHxOO8kJdOSKtCEonQu6ISCVH8PgnmhUXMi4s0noqd197sQkwuB7XdzeTPxkp2gq5pqTDbnlkmlupeLUJJt3b8zMuLu4V5i3OX/4+9dvL0K352gmcu7g4e5xKOHz8uBvjr1q17yx+Z/Px8ZmZm3vLH4Y1EPGh6jSmb7bjs83+OqDYgV9GZEjMpfDHC+BQheDj/ueeipkWDBVk4TOrcFMdqGqnqbkMqh+6yUtorK7GjYcVoG9aoC9PMPKa5RdyJZpwZSSwGVaJAvMwzwfg9V4qfJ3xVXXOsw8u/sVw0pJS1jxNuGUMT9FMssUN+img38EJiBZ3J+WRmyUAthy9u56gmnzTnHHWD7bDoJeoK4h91Mme0UO8eQjo0S1CvYUJl4arWg+j9HkrcM4SlStK7m5gzZxAJRelOyKIrNYOHfv8ZFA6oHO9jUJLMmCyFTO84KaF5/BEZB2XLmJQlUubuod7RyurpJu5qeg6PXM3W3kMsqJQofC48Sj3zpnTwhZApNQSTLKgCbpQDE4SVSiJKBYk+O2dLq8Xs23zzItGyZFQ1yWBSccvZF2jdsApmnZRt24XZ6yC7u4vFKxpgepGixDAPNNzIk4l1RN5zFcF3byAjXYYqEkLm9CHMJfVU5qDvHWfk1rW0pxZyylKIZWgiNgdwZZWYaTIqAniUGvwBCYsWC6cb6ukoK6fxzAlxTt6sJVHMJq3rOS6eKwG9x07FWOf59XG5AOjizNOFtSnljDA37zIIAZywNsaMlzqEL3Emre4V17I8KhSQ48S5wOOPP36JV9FbmZUrVxIKxUcOvWmDptHR0b/fN3mLMGDJ/4uzSxfzct1zLyZyriTTkV3GotHCwbq14uPWkkrRRVoeDFLW0YHC6eVEViVhiwZZMET22R4SBifEfZ0hOTa1HkdxFvqOCyL0LkVsYHD94UNI/GFCH7yaPSUr0QR9uG/ZKF5MGZxietxLVCKhRLIAchn2T95A2sSEKAxPti8QjURw99hInJ1C6/dSPNyHf0UxGLX0qxJ5onwDuxuvRSGTMZdfgVdjJGmiF43PwZHccmrGu0Qjyi39R3BKtRiiXnE7qUxmWJ5KcmheEHBhDjvxRlV0KPNRRAL4owo+v+uXBORKjuVU0pOci0+lx2KbRGubFUtvH9j/O5ozKng+v5FgegLBvFQiGQlc6e4SdUiLXjmS7x0Al5+SyBwPLr+JU2nlcEMNiv+6kY0L7aTZZxlYECKeKfJssWOaODaG7+GDqP7vOfQ7WuirqBBdvh2OqJgR0ozOYlGFsWn0SJw+DEPT4vsk4Qhyn5/6YyepH+sQUkgI/6cKzuDKQIDjtbHsnyBubyuo4JH1b0dyLjha1JrELNPLkTMfy0q9Wgw+B3m2WEv0i3VLr5YZXQphIXqPE+cchw4dErVMdXWvHHC/Fbj55ptf768Q568JmkpLS/n85z8fn4fzV+CXv/qyyMWUzPT8yX1W9p942YHyQvyyNJxXE/RS1xkrm1R2tNNdVYFdFjMxVCuj2DNT6LxyORGVnJqHnifojXBV71FCWQnYttQiD4ZI2HmGwaiJK/pPErmqHIk/hAQJisEpDuTVUTrWA8tyieYmM+xWMmVIIHthEpZl0q9J4qHa6zhbXYfc50OClFFNIi61jrXT7SjcXjHTJHTi2QMyyueGWOaeIqjSop6fISBVEgmFGTYmcTatgN9WX0swrMYUdJLmmyIpOE9AImcmrGeAFNHkUsi4hcNRdFEv2oALu0zHpCqZEUUG81IjEsHs0e/AMj/OaFKxGIiEJTJ0sghzOhOTKjPzAaUYwOAPc+/uR7C6bXSbM0XbAaEOKsm2iGaRmsNd8N1dMGMnTenFq1Thf+4MTM6jOd1FkiJI3VgHwaP9BN+xhuDWWqz6WMZlTqIloamX+U01ZPQP0ZuYQ39CNqMFeeLrhtlFUgfGGKsowKvTkGmfFoXr1S1nMLhd4vk1uJ1kTY3i1BpE+4ElLa2QdFwqsV0uq+lTvPLarJpsRXlu4K+AU21kIOEv+xEQJ87LIWh4BHPHOBfGqcR5kwZNu3btYseOHRQVFfHrX/+aNxK9vb3ijKLi4mKWL19Oe/vlNT9vZIpnX17w15peRYNgOHgRL77wzesT0PndVA9faEMXghohchLadwWEuWTX7N8pZqqELJPO5SKvr59wKPa6UhGLsqJSqViaa733GgZMGewrWEGGbZr8//4d5qNdLG6pwRFQMK1PIKVnEMXhHuTfeJIRqYmbOvejKUqBjhFcUiXlY70IHovmkAdODzM7E+G9J7eRofbBB1eLwVFgziMGOm1VNUQNGpTjC2IW5Vsr72RWa6Z2ohuf1kAkHEXu9SALR+hMyCTLNsmHDj2KBz0zUgs+lEyFjKT4Z0kLzqEN+xgmmUgYwlEJR+QVhIXgISIhOTBHICKlcrSPvqRctpeswqnUkzzbj9rnROlyE1aqua73GNvL1jGoSUZzrIuwRY8x4udgXh19ulSim0qISmWoswwsm+hmUGkFhUzMquX4FjB7HEzJdKLOSShjrrL1MWZMpv/WrcibBlDubMWqDIgmod6AhIDVgNzuZm5LLe9tfpoU5xw2U4JYnvMmmtA63AxVlzCYniNm6/xSBXazmamUVPHcebUaFoTOI1nsXJ479eeF4OcevGSNTRtjmcOXXYNpVWJWLk6cvxdCKUrwJaqsjA91FpDL5RgMhviCewPxZ+XFhaBEEOk9+OCDfOYzn+F73/se3/nOd94Qgr0PfOADvP/97+fd7343jz32mLg9efIkbybGjRmXHZyqjPqZNSTR9CLDwSWWNCiLWgtule68D49wkdx7bjDr0oVz0WDm6U1b0Xtc5A8NcGp5A2VtHYRliBft7FQ1yQMOCroHWKgrJHNglKbFCoaN5fjTLAx/7AbCZj2KYARFMMi6wTMo01KRHh+EBR/LOk7zZMka3pUklGuMzCdmMvHsHCWuCRR2N2ytRP6LEbqTclg51gZne4jmJXAgbxWJu85Q0jZAxKzFk52JpG+azPkJ0hyzFI91o3MsMJZVhUKuEC/e3dYMGsZaqR3rRBIAfdBJqzQPvdTHBBaKGMcSceJCjQYvghQ6MWLHjINOaT41kQFyfWPMh0zM6Kzc3vI8XqkUvy4FrTpCsn2KkFZLS/oy6oQuuvQS6pZPoJq0EUk3UTg7TPFUL5LWDlDLqOl0cUy/hpOpQnlOCk0jBNKtlLW1EplOAJkf9jczv/LDzHjnkPSMQVKYwLVVqB6V8kJhI1tG96KQhohWaZBJojy69gbsbimBkBOVcK4VcnpWLhPPZZZzChYDRMLpjOTl4vPKwB8rzXmFzOG5pFAsYBamBsZIW5xC4/MxLmTJ4sR5nRgZGWFuLuZQv8RSe31JSQmnT58+7w7+ViYnJ4e2trbX+2vE+WuE4Pfee6+YQt26dSvXXnutKNgbHIyJgl8PhO6CpqYm7rnnHvHx29/+dlF/1df3UpO+NzJulf4lzwVlCsqmLwzhfSXmDNaXPCfMHRNIcC+K9gJC9CRcVB0GEz1FJQTUaloa6khwLJLsXMCWkiBmMeShMGO1Jdhz05B5/dzcvpeiphYxYBKyIOE5D365kl+suAVpfQ7+91xB6NO30mdK54PH/4jO6xQ1PO4AbO4/yWBmLjTmQfMILmJBj0SvFAcBS/b1Y5yY5f/W3InXaCBi0CBzeZnOyuDDh37HtCmJkMEolpp0jnnxvdJwmGz7hFj2c0vUjKnTGFJl4ZeqCEnkpGBnlCSayRdF7snYkBFEi49piVU0fZyVW1FEw2J5MGdhgs60AvYWryOg0CAPBUUPKFdmFqluodwnI+LyIXX7xEyYwqCkMyWfRys3Er6xCt65Ao3bwwP1NyK3e2BfN2RbmVxexc9X3II3Koety+HOK5EYtaI7dygQJXRTTIOklsXOU8fyhliAey7KVcii5M+PoZp3UPVIbOr7ElPWZHqScoXk1cuytv2o6IpwMZOWVIYTL+/1FSfOaxUwCZYC9fX1l9w+9KEPia//4Ac/OP+c8P+60H6fmJj4ljw51dXV4ran509LNOK8wbvnhHrr/fffzxNPPEF5eTn//u//jsvl4rVGCJDS0tLEVObSL2thbo/wD/PF+P1+HA7HJbc3MkKn3KH8mHh7CWHUxYuF4ZdDyCxsGDgl3hc6pgS9zYtJmp6mqLuHRY2JJyuuIK+nn6BaxZF3bRWzGrPluazuO41fpmCmokDsxDKeHSRx2zGxxBOVSZGo5EiCESQmPVqfV3TvVrf2Q5oFycQ8D9TfwGee+RGcGIS+GbFMtj+/nsX0FHFWW+SeehwKDUVzI0RVciKCO7jwnYNR2pLzxWHDSrcTryURn0ZPSKoQLRB+vuJtHMirRx6Oku8dZQE9hcFRvGEZU1GLeATEgbQoxcBJJ6RhBCSQGpojGJWyqDAxo0pk5VALfpkSl0qD3rNIwvQw9pQsdFOTLJqS+PiBB8kZ6Ufq9IAngCIcwqE10m3Ng7MTMDDH9D0bSPDYWdbXKpYcOT7AVb98kNKZIfJOnY6V565vRC6ToAoGWMjOPL9e608eFzNdoYuayZJ2nRH1SIKwPuNsDyOrYiULQagfe19sv/qWU6I4/MWYnDYOVax6tUstTpzXDCHD5PF4+M1vfsOpU6fO3wR5hUwmu+Q54SZkm4T/09+KbNq0Sdzu3n3pj6Y4b4Kg6cc//jHvfe97WbZsGSaTSTyZBw8e5IMf/CDf/e53xWyPEDwJ2zcqX/nKV8TvvnTLysrijU7W4ggWz8L5x2czlonB1MWk2SbJmX9pkLjvXHlOuMC7tC/NZKl9fqZShQ4mGV6lhpaV9eLzQU1MFOyzmjiVV8VQQgb1Dz4lPmdfUYxqzsmVAxfOs3Q0lmYfTEgnd3GCiFkPFTmEUq1UTPfzdN0m2FIBWhWjVeV84OijZAjZSZMaSccMJo+DdMccXo1W1AKFEo2k9PST4l6gcqIXV0IyfqNF9F5aMCSL2aAPHvsDhfOj+OQqAjIliWEbY4oUFOcciULIUEaDYrCkJUgH2Qhy9aLIGNqIj5TwHA6ZDrPfxuqxs8iCAUqmekiyj+PWWXAnJKN0OMT5fIPWTNGyQW53IXX5RDG1MhTk2u7DoFVAnhXz/jbWDp2mZKIfSlPB4aVrTSMz+gSO33AjODziTSibCsOP3VlpYiCl2NnK6caVHMqNdQstbKkRt7NX1YrSI2GGXfe6BuzZqZTsayL/zLnM47l6m1NnOB9AXUxN7wVt29rBS/2SVvfGPJ1ezPLhC+dUFfQhPzerUDDLvKltGy+HMLIlTpw/FyHbJHTJLd0mJyfJyMi45Dnh9lYNmASqqmJyi6VyZZw3UdD05S9/GbvdLpbn9u7di81mE38FCKlUQU8kzMgRAihBT/RaIgQ+wj+2JT8L4aIkZJku9w/t05/+tPh3WLq9GWwUxk0ZLGqEzEkMk9fO8uFL9VqT5jSGrZf+fS++ji7pfjc07aey60J9fDQnG6fJhOTcjLJz1bxLSj7T1mQ8chX9q+uw7DiDrnUEd0O+qJeKRCVIjvQhO9wjGjgOZuRzLKsSjnWKAULSE3sYMaWSsDgPh/rAqEItC/NIzdXMa82QoEVQaedPDDNmSkKzYAdfEOXgFI7SPBa1Rp4ovxLz+BCmsQEUPg8Gj13UeglGmKPmFGxqLWPKVLHsKPw1nAo9JpmXZJysoAs7WmwYkBMmATczmBCKckJpLjkwjyHsZFdBIyeyq1gxfBq7PgnB0UE3Py0O4s2YHmV30UpSXIu4l5cRzrIS8EUonuln0pKE1BsSA6e5mhJ2FK9hLjEFZl1wRyPyeTsbe4+z7MQRcHlBo0TucNEw2kbhc3sQZtYEa3OoO3CA4tkhqg8fEY+5uncS5fAc4QjiYF7ZuX+p3Vc0iMaWsXMqweB3M29NYM3+Qy9ZN4PpubH9hM97UVBzpKjxsmvtZM4F3ZzFa0MXiGWOPUot2ypv4uXY2v3sy74WJ86rQRhO63Q6qamJ/WiIE2NplMzrKYGJ81f4NAki63/7t39j7dq1aDSal+wjZKJea+Ge0J4q/BoRUr0Cf/zjH8nMzKSwsPAl+6pUKoxG4yW3NzqiJ9NFqYQk1ywnc2IZJAFpOCreEp1zJLhiGanaoRZxu3Lk0un0+xs20FZaKZogXsymvnOPA7H6kNwXIOdYG5pZG2NpmQwkZtFfXcn8llo8+an4rrhgrhlpnSBck4NkchG9PMyMMZH5azaILffSlcWoQgHSZqeIXlMBTUNkzE1wdfcRVu/aCf3zCMInqUqKU6ljVmdB2TQoeguZpX5aU4rItk8xmV3AQlE5HqOVBNc0yqCHVSNt3Ny+H4U8TFpoDkPEQ2p0UYwQdVEf0xiRIMMt0zElMdPAAC3yAoZkabgVesZUqaiiQQJKFdqQkD2SMmXNJaDUiMGS3j5LVK1kZ/la+hKzmSrMRzmzgKJ/ipDNT1CuJi1oI1pghTE7cwYzNRPduBNNsK5ILEc6JSr0fhfja1fAkW4xSLr3199jQWPAvboSyeAM8iO95LZ3YfS5GV1bi+lgB+rJBfxJRja0HOG+k0+ikF/odis52oxUqOMFwlzfsR+h6npsbcylXetxU9UTC4pHUs9lUaOIQd/SCjJ4neKonT/FlDEVuyZWKr2YTNtLf2g8WfHWnUYf52/DU0/FMtlXXXVV/JBeBuFHvjBiJs4/mCO4EMC8HlOZf/KTn4g3oSb+1a9+lV/96lf8o9KX9NJgUMCl0uFWadH63aKQWdDKdCfmvLTdXBhVcM4EUeXzkTMwKPr7FM0MkdPaKz4fUiuZqC4k//ljaGQh1gw1E3IFxde0fROYj3dTOxvbd2FZEZEsK5JolP/a/kM+dPj3zOrNUJSOqTgJVTjIt1bfJQ795e0NVB46yvbStUypLGJGRmLVYQm72dR7jJ1FqwiuLiCqVaGenOPO9l20J+UTtDnRzU5hFAwljamMZlTSlrGMjqQcPFoN3YZipuWJLMoMYufYjNSMT6rhiLSMivAQiVEHk5jF+7mRKSSRME6pDo9cg1enpCmrgqhEgS4cQuN34lPp8Ov04hgW08Is/3T0D6L3VNigJVyYynhiGrqAl4AwC+7YoBiYLPrkdCXnotXLIRQRDS9b0krYX9iIPC8JCtNgzs6RvGrWDp+l8A9PI2vqR/ASOFzZyFOVV1LS1kbYoBbNQK1HOnGh5Hc115Dd23/+3HWvqmHl47u569BT/K7mWuxJVoq7ukV3bsGwtLX40nbtpXO/FHdb3DZUQT9SwYfhZSid7rrEk+li/C8qDceJ87fg2Wdj2crbb789fkAvg/DvWDD+jPMPFjQJF+oNGzbwWiO0qArtqkKHgaCpWqoD/yMjXRosd47KiU78CjU6v4eFc510V/ceE7firtEoq1qOYXLYKe2L6WKuf2Ibs8nJHKpcgU1rQj9vP/95QZWS6boSZHoFh3NrWAzHdE6BVDMyj5/xc4aLk6npRHITCd+6ho6GFfym7jqmXVLxD1X/7FnWz3Xw+d0/wflUJ3RNoc1PQBaN8JOam4jmJBCtSEOboaMlo5QbXnhaFINH9SrCaQmcqGxg1WgrNrmKiFJJWCYn2TaCLuymzDZH0fwYX7jqA0wkWgjKlCgkIVETlc4iAYWKLOk8czITNQwwJkvGI9GIa9SAl/LAIB6ZlqeqN1AwP8bmgWakUgluvZUE+6TovbRgsOBSqJkxWMkZHwKV4L8EwUU/13Xsoyg4AwYVkim7mDXTB3yES1Khdwaseozdw7xQ1EjDjuehc5TIjlP8uvxqfltzLcGPv038jzCaYmZPXixzqFFG8Oal4KjKZWx9DbvyG0WtmT/LQs6+MxTsj+kajt6yiTmVCWk0gtD/0FpdhdHhQO92EYlISJqdQRKI/SpdWiaC+ajASGIW2oCPnPmXL00PWPNe1pNpVn9548Fs23B8jlycv5gTJ06IlYC4seXLIzRdxXl9ic+ee5OypGlShIMoQrEM0Kg5Db3Pxawxif6UWEBzLDfWrvr2o09x7ZHnGUnKZFFvZtqShN7l5Im3vQ2XVodCEeWansO0ZxWK5o8CgiP2dGkO6f4F1AEv9Y8/J76m7p5g4dp6rh2OlfSmPArBh1J0AjIbJNg0RsYWhR1V8O4tjNZXi+WttopqmHNhubaAxvEO0QV8vjAbSc8M6XIPFbMDDBpTmZCaiCQZkM8sUhpZEP2LHqq+Bm9KMkGDEXnIT8p0P4WzfeTY56gfa2MyxYRF6kQvCVAWHGJeZiJJ4hQDKZfKSLuyEKlaiUNpICJTYI66xTErpwtKWDN0hvKZQa4YbkMbcGJ2zyKNRokYdDxdt5lt5VdQ6JggXJmFanxOzKgtBpUMJ2RSGp6FdBPcUMlTResYNyWTkxyFwTkiowuM+WMlbNXbVsK7r8I560Pu9vLRIw9jTVOJmadAbRazzthYHL1BiuFYLwGjDptbitHnEktzoVQzow2l9KyPicUDyMUuxfuatiGTCedKLorTQ9HYP+mGdiG4ip3IK7uPoQn4xEyTRHAuj0RZ0CcwmJQrCriTHbGBoGL26Vyp98WNBq8GofvwcqaZceK8GoaGhkRPojiXR+gqjGeaXn/iQdPrgDbgFv2TUlxTF05EJHpJ5uhPaU6WNE1mjw2LZ1G8n+ycI8l5qVnceEKauP3Dihs4WdrAWHLMQDOgUJI5PIJlYQGt241SGeWh2q2MGFIpO9IsBkerf/o4Sa191A+2Uj/RTVNWGbq2YXzZSSiGZgllWUVLg6QH9qD8zSGigQDSqgzxQm/ctgd+uROSLbyjeYfYz5byk+2QYkTxw72UMsPq4WZG5uViB51yfB5fRgKH8utxHx9HObNIqCqTav8k7z35OOFAGPnQoOi0LYQXUbkMmSyCAhXdCblEJFE0cqdYZgxLpBhkAewqM1pZkBpfN/nhSVb6zpIXnkImj9JtKGI2OYEfr7mZoExOUKYh1zaEyTWHKuxFFg7iTklm3BWb2eYqzCKabASVBF+yiTPmXE5llpFebSBakU54zEb20TN8Yt+vqbR64W31OOxR0qYnsQRcZD/9AvxiJ7YpN7XjXbjTUpCrpQTevwl+dICM8RGSXAskT04yd1Ut+r5xTDtaKJ4bxqCNkL33NNlHWpEFguK5cXulBGRydpWu4rrnt1N34iQ2vVkszwk8u/5aMSsXCUvYXdBI6ewQusCltgRC8CQglAIFSqe6aBiJWVTo/U6xRHcxgs1F5eSFjrwXIwSaykgsgI8T589hampKFII3Nl6+QSEOWK1WcfJFnNeXeND0GrL0Kz/Bu4AyHED2CpqSipmOV/WZglP4jDFWLmnNqmLYmnM+WyAgPXdBDIehcOJC94VTb2QgKw/r/DwarxelEtEqIKV/FJXdSeOjOzn6rhuIIsUS9XI0uwr/QpCwUoHPbBBnsBV7J/FJ5RzNWUaoJptoOEzl4hANY+38Nn893H8dnOpFX5yCJhzgqYr1kJsIVxbj3FBFmmOevWk14A8icQdIz5SS4prnd1VXo+geR2pWkTA2ilyjIHNxjOfzV6DyuZERJmCyEDCYxCzYj575JmfTivl93bX8evX1eAwG5AoJWZEZscQ2qU+nxVKFT6HBprZg11g4VFnH4cJSbu7YizIiIS0YYC4lF1tmPiFzAiGDDveCk4auJj5w/DFWh8dQztmQqOWciKQzp01gMS2FAtckktYJJjt9LO9vwRjxUWT2igOCT6zZgNVr4wODO5F97k741Ds4smYzU8ZEZlfVxDyuBqboKS1BFQpy9cwZ5t8VK207CjKZDalFYXyy0svwlXVMl+WKvlYCHq9UtHyYTU1hz1WbOb3iQmPAxQgz94SVcCajlKDypdmjoFwpriGBlqxqmrJjlhMulYGulNJL95UqaU95+fEWk8Z0vIrYDMOXQ/ixUD3V/Ir7xHnr8cgjj4jbm256+Q7NtzrC+DJBDB4IxO09Xk/iQdPrwJgpSxzcO3GZsSlLnE2Ljcq4GFXQy7Xt20mzT1zyvBBQCOTOXZhSv+qcD4+g0Vm6eB6paBQ7xJbwa9RiF5bgtK1WR0QvpjZTHqeuWYc9NZH8wy34jVp8RSlYPQ6GwmbchRlohmdQ90zg31JO3UQX09MQ0SiR9ExS3NMhWgn0zYJX+LedlUzCvas5kFuHunVUFJgL2aJNgV5GLakcX0wgmmQgsiydK+SjYrai02fGmWhBcbgXSTBEocxJc3o5HkeAkM/HaGUj5ukRUag8a83Fp7LwkaPbeHTZFmZMZlrzcvjZqpsJKiUkBuYwBGNt86cTqtifW81CkorTeXnsLFnNqtFOtFEtTkOiGMQqfR5cCSksFpTym7w1nM4oJTPiIMG5SDjbSlSjpHNazdMVV/C+vh1IW8ah0Mq2ZRv5zHUfYXBtA3LB+qJ9nMPeZHYUraLeNgg/fBp2nKLwWz9n/cBpii3n/uOTSmg1CpkyCWONVeLni4QjHMupZtiSzqrpDswDE3iN+vP+WW6XRLR8UKujBJVKFH4/y9piHZOrWi54MAnnXUByUQD911Ax/dfNdIxKpLSkxlvK41zK888/L25vuOGG+KF5GVasWHHJsYrz+hAPml5nljJCr4awVEFHWgWVExcuXELmatlorGTiU1zIJBwtahTLfcJYupXDLdT1N2O1z1PV3Ura+DiZo6OilUFbxTL0i05S/TGrgsKePlGW0rGqBr9By0JOOovrSsR2+iFVIo5JP+68VOa2NpBn8vFs2XrO+BORP3AAybwN2Ue3MJ+fS/1wGy1TMmgfoUztQa+M8pO6m+mdVsKMm9rAOFJJFOPYNANhC5JMM3nFSux5aYwYU2lTZxBJMxHKSSTbN8e/H31YdNEekhuQqGQ4UzNBq0YbcmPxL1I2N8B3n/kRawdbGBHGrmgjfOOau/jGdffwpZvuw6KbZTZbS+N8M4leG5t7j/O153+CJSJHKw1jDiyiIYgi6CG97wx9IQV13WdEn6gNnn60vSMoW4eZtyTQGkni9uYd5FepiF5XLjqC71xMR+/3cPfp7TDnFEeonO6N8uEjj+D86K1w9XIw6Pivze/Ho1Cx6fAOmLWJAnLtoycZM6eSlRoTbaf/aDsFP3iKyTmJ2LU4vroS/dAkhuFpEgYn0M0sUnEkJghXayNEQxGyhkY4W1ktisAPV60Ut8ItfC5oUhIRu+sut/7OZyVf1FhwOfqsBa96vcaJ82ppaWnBbDajFFLecS7LkhXD008/HT9CryPxoOkNyMtdvEIyOcMJOXSllFzy/PZl14rbGcNLp9TLxZ4pCSczy5nVW+nMKWE8NZOR9GzxoiownpFBeX83JdP9qNwe9AMzhKVS5tOTKNl2EOPUHFZThOL5Eay/2INfpyXhyRMkZqrYOHGG1MUZTt9zIxG9ConPx7IiBcpggKODUaguRLboIqs+VgJaeLwdsixoGrLEzFJ7SgFN/UokGgWS3hneaz/Csske/pi4AunZMWTSiJjhKZLaOZxbzR+L1zPoj6L2OdG7BA3XBFKFDG3ET4bPztrJQTYOtpO1OMOkMZkRSzrvb/oj315zJ02Z5TxVdiX9SUU0Tk+Q53GAXkemfRBt2IPJPoU/OYmp7HxUI7GsXaE5hD5VS6AsnUhREjuDeagDAfKkC+TNTyCZtDOTmcE/PfgDruk9Qka2AtqnGLMpuea5J2lLLWC5ZwR+8hxjy6owd/UzkZCMZW0OkmNdor3Cg3kbRQPM1TPtSOxevFkpdP7LLYwtKDiRVYHVEsaWmULC8CRzWakUnWjlSFqsTKZRR8Xs4UxSEuWtbefHp5xfM+ekcXn2KZIdF/Ruq/qOv2z5bEnXdDmEDOlfy6sJzuK8dRC8h6anpyktvbQcHOdSUlJSxKByaahxnNeH2LC2OK8LtROnOZMe64Z69ReaCKMJLz9SoHKsnb6UXFwag/hYJpWImiNB2GJy2fAmGlFyQUsVDUUpbe/EbTGSNuUgVQgcZlXIi2HZtgPMrijBmZ5I6kiY7qRc+qIT5E/MY19ejPCbcGZlBWecOZyasVO9Ll/8zEZnmG+nFeLsgY9XSiEU5bZgJ1lH+/nSpnewfd0IkmfPULE8g/RjM+xU5HDbY88jy0tghcXHDxSr2Gat5wZ/G2tDwyjcbrSpWlYYbBS1nCQoVTBusWIwGtANDDOTU4xqsI00xygOfSJWiYx72/ZzxdQ4bpkUlyGDTx9+FIvXgVufRPLiMNMpRYTURtLtwwS1aqQyKVJhgK5Kzmcqb6O+owlHgpl/n9qHIuhH6XbjXXQzrQvQUZDHjeUhSJchCYR5wpXBvgYzBflyNJvN8MgpRjrPiheDUpULQ2kGZKVw/JgNl0qLrLEQlW4Pwevr8O5sZnB2Pel6C8nVErwGLXPXLMfd5yJ91IYu5KN8woOtIJ3BjAxCESknrlvPxM7Y+dXqoqLYWxCBW2Qz4v3U2Rkc4vBnGWHBUlywGUjKwiKRIAvGHh/PX3FeCC6es8ETNGU1iOUzQdd08Wt/ek3GifOXc/LkSfHfypVXXhk/jH8CobtwYGAgfpxeR+KZpteRVxsw5SwMk+i6tCvu5WjLrDgfMAkI5bkl0mYmxW3j2ROYnHaS5wShtJTO0jJ6KsrpqKnikZpr6NXGtFYH7r8FhT/WDXXt0DG8ChUDPj0hs17soBNIaUgQtycGLpQG1xeHRduBlrEIjl+9AMMzNM50i9YGmt5xmmc0sLqAxq5T6PUSBhWJdOszQCkT5E78k+sgm/qO8995t+EKy5D3TxPITOKd44c4WdnI56/+J541lrLg9ItincSxXmayS/HrzWLHmN67iF1vxeqaoWB+WLQliKhMyCMRSoabsBtSkIZDaN2LYj1M0DEpvC6CUjm7Jal8fPtPSfA5eZe3Bc28DYlUSqgynd26MkaNydw6epiNwT44Pozn7DTLH36K05nl3Jw+BY81ER1f5FuZV9OTnE+p1ilqmagt4liblwlDIvcunCCSk4S0fZQjuli56529ezC5LwyP7vabyFsYZ7qqEFQKEoYm0dqc4mter4S17YLlRBSd7lzJTSJhKiXWKdmZW8Kt+55C63UROld6E4LnV+J4XkwvESfO6yUCv+OOO+IH/0+wcuVKvF4vMzMxm5A4rz3xoOlNwKgpmzl9IlXn2r2XuvBezq5AuL+m51hsPyG7cC5yOp1WKmYijpUvx63Q4NAYxBKdMOxW2BqMYTHToBpaxDIyJbbu962tEVvcE0yx1xbmQTJhRzk4g+65FiqzY4LmM8MqnO4Q9I6T8tQ+NhrmuLLvBE9XXQnL8lFX5lBncpLimOV3XVbY34usa4r7oi1ie/+RQCohXwjJylzWzneh00vQOxzs9WcTLkpCGfYjyTbzvuBp/v3oQywb7+FZYxEHK1ZhLypGoZGgkIbR4idkMpG9OEDYaEQlC1M41Uq2fRBnag4jRXX4UtPItA0h1WuxF5UQSEwkoJDxoas/jC2qZNKYSKNugSzfHGjkRDPN9EwqOKQupCsln6uTJpE924pEJec5fz4P1t1AocnL8pYTkGTk5Kffx8Q8HCupJ/0z18G7trCAlr5uB/M6M+WrrYSqswiVprJvwsLbWnczfFUDjuVFyMYXRF3TZI+PffkN3Dp8AKkvwGRJDo4EE9ahCdTt06J3lUEbJGdo+Lx+acGYcGHNpGTgVOrPZ5qEYcgv5uI1UzrZjSbg+Ztp8168RuPEeTkOHDggehAJg+DjvDJL3YW/+93v4ofqdSIeNL2J6E4qfsUL1YrBJmTnRCxHCxvPXxgV57IMIWG0h5B1CIap6O0Ux64sIWiEDYbY57UocpnKSBWDpWBEgnLGTtritOgXtCO/EduZeZzZKSxsqSXNEuE9A7u4/eRzHO6VEYmECVu0rK9TiK31+07YoWMMrqyh+G2lYrfds10anLawGGA0XmNhy/hpTliKGR4EyZlRJJuLeV/uIA6NnhOqHNoCCSg8LpR+N+bhUa7x9vLc6qtFB/OfpSznh3lr8Jh0hIw61BEvie4ZbAWlJPrmkKoUjFauZqGgAqPEgynkRKOR4ktOQh1yIVdFeL50BZ9uvAfT/BwPrbyZ+ug0JUOdKMdnkCqFucMRHotWsKX3KJ/pe5z8oX4wqLFpjfyv8gpaUwv5eGYPktpcUCr4VXsiWfZprqpTYtSr4MwAT7WEGDUk8d6ZI+T97DEignPV06dRbzvNwbw6ssp14PCR/PABcfzK5EiYRI+NxY2VjFcWiAGscI6mstNpU8fKs8KkGrvBdNE5jAVPQmB8qHyVOOx3yWsy2WMjyTH7smurPzEPr/KCXYD0FWZcvZHKcjm2odf7K8T5KxGmOKSnp8eP46tgqbvwueeeix+v14l40PQG5+Jf6xe7NC8ZWl58ARO0KOJw3xchl8VOczAYjWWWFEpOldWKs8fCYYl4Ey60Wm0UmSxKKCQhd+cZ6rbtpWjXcVLbBzh7+2YKMmKlumPKXPGCHHb6MTzfTH5amO0lq5F+cyeyngmCV5Zy8/HtTCaksP7ZJxlwKeCZk5QP97L9ne/hHSe38wd9LdyxEk1pMnm3FqANBfhY/fuYW1WBJNNEaVqAu7JHCUll/HPNBzmbXoR8fB6ZQogO8/kv9wssYw51KMDKk3v4pr6WX9Zdiy0pGWdONkbbJIEUK4GMFLKGzqCVuJCppSgiPtK6TqLwO3F6/fQMLzI77eRkWhk5vnkemPut6NQdqc4kUpmGuySTnwermVEaaStbxprEOaLpZiRXF/Ml4zXcevJ5MpPDbJ5qEUt9fdesZ0e/nraUAt69WgLffYaoXsepx9oweV2k3VWH7/O3EomG2VfSwI7MBlYtdpNp9MOcm9F3bmJyIkyPLIlbOvZSbh/C0jdOWLBc9weJhCMszMWkiCZzlNzefjQON/kXzaZborYj1mEnl0noSy3E7LKfz0pKwhGy50fQ+L3i45B4YC/NEC3tuxScF831isasbyQcqjf+wO04L49QanI6neLA9Th/GkEInpCQIHYbxnl9iAdNb0aiUcyexfOjVAQyFsfP37/4Yidmms6V50LhiGhyuZSRqD3bfP6+gMIXIFcRsx7YkdeIw2SkfVMjnevqyDp0lvyMWBarb1RKMASyBRfmA20Yby1lUWem065lUa1DqE1J//NG1tVr+dzV/8wPI2XQP4Xk1vX8y9oIv1p+M6eafMyWlYA/zK0nn2PTfDsJs7N8Yaga7F6xFf+Dky+wNtAvXsT/O7oBmx0k/gDa9l60Hju3KHr4aPA4Z/PK6EjIJjI6wxdyr6JjMUiLOY2mzHxYmGEuKQndUD/z0SiH86o4mlrMYWU6HZpkjqZXsKN0FT888n0+MrmbsubTyDUSpBYlDC/w+9Es9loquL1tF//S+yyqyUUkMmjtV9B9xsuewhV8YuU80oIkaCjg26dS2dh3grWVCkpUPvjYLRzLrMIzamM8LYtrasOENXJR59X8zDRWj43cEhW2laV4rSakcy7GWtwow0F23P52puuL8SqUSO1uSvc1IZlxI5n1cuvZnRgMEU4tXy6WWfszcy9kms7dmtJiXZZiplEiBE4F4siU4skerm3dKc4ojP4Z9hf9Cfl4lBeyk6/Wvf7vyaLmQkkyzpuPvXv3ittrr411AMf505SXl4vdhoJ4Ps5rTzxoejMikTCYmH9+lMqfQi6NjWpVBXyYF+bImJkQ75+saqCh+SRJs9PifkJpL0XnFcegzM4IZa1CSvY2UXToDN4EI5vbDlE920u3PIWhOQX+zEQm776Cmn0HWWawMWjMYOr3XSj/eAIWXdyfNUXG4hS2bU3M5edDkonNCx2s088yr9DzjWMJYgAoXZlP4fvLqJ7po7sjyP5+PajkkGniOssERTonZeP9fDHnZgaSs5DYvERNGiSeABUqB58c3cWv9n2T2eQU0ddoWGPlq9W38Zg0n2/nbuKoNJWfFW6kM6Dj43Xv4lhiEZ/c+nF2Vm5gg72Hh1t+TL1igXBuCsHCFMLpFkJnp/jfwpvoiCZyR9tO0q7LQr21hOi7G5lfWcqvJ/Ipn+7nA+GT1KR44emznPElcOJsSAyk/nV9AH61E4am2f7rduxKHV9c3EXCtkNEzVr8TeP81l1CimuB3Ftj87bCRi1+i4HnQoX45Upun4hNNLdlJuPXa+ldXsmgzywK1o/WLhfF6gIrTp8gJI9ligRSFmdETy6n2N8ICvmFf+Z2jRFVOMhzy66mM71UHPL8arlcFlOgYvbVudfHiXM5PZPAbbfdFj84r5LNmzeLg76Xjl2c15Z40PT3OrB/oe7jld4neOhcTmsiZGImTOkv+35pRDDhlohu22F/CK9KLXo+CdmIlpJlcC4z4dboCRUnUDI7xOKijAW5Dp9WI5bIMg+eZWpFKfmpQbIXJ/E+1iHqndzJCdhXlHBv9AynM8v4Uv6tuO9aRXTBTpF3nA9N72PAnME39atBrkSydhkfu0Urlq92nYpwOpgMKwspX6bjZmcz1RPdPDqUTntiDtJoBKXfx49tfyCabmLQmM4fKac5uVAUR0utCtReOxqnnaxsOf8z9DjXhQdJTlSQpQkwm5pOlmuWg0XL2VG+lgNF9dzf9TxpRnj0yDf5T80ZVgeH0RRaoCABpTKIamCS8YiGrnktD2dtYCgli4YNGkoDU1CdTmjSyfHfzyF1+/BnJXHt+9KE+heh+zfwmZPZpDtm+XzwMKXd7fDxW+mbBnvzGFafgxXXpRNcloXm3x5iz0wCFvsCzuWFVJ4+hap1GOnYAuGd3czYZGwcPEWqNUT6sXYK9p8mjITU3hH0ZybQBzzIs3WkjE7EhP01jee1TMLWoTXgUOnOd84pBDuFSJR1nUfwK9S0ZlZQNN0nZpZO59S+qvX6SqLus6lxAW+cv4yOjg60Wq1Ycorz6rjrrrvE7aOPPho/ZK8DcZ+m1wHhAiRMpF9CuHhFLvYGuOgiFrlovyTXHPJIiDFLzBIg/KJf/sJ7Lv4c8XEkyoaOwzxX0IhTqUG1OItcp0MhC2B1LlIwO4LDaMQWSRSFxokBB21Z6WzsPcFgVRXq+grxs0xOJw6TAe0mK4FHHJxeMFEakKAPRjE900T+bWuQ75LTEUjg4JibzcpZomo5VZtS0DZ5ebQpxP2rFBQkRKjvbObm8nKmnuvme48k8aMPKFGf6iavWEO2TsIvDMtoHpLwWObzpGpG0fZP8pWUZ3koVMXBpDx+lX0TaxTj/L/pJ0menYFUHbICC2F3GINMzmbHBBtd22HehW5oAH80FUW3DanDjae2EOXEAhGDkKnyEVmWgeFsD5FsM9IxGw+tvZnWITlP3XY/KQov39Adoai3C8mih+iyNPbvDfHLvKu4s2M3K99RhnrEDRoVfxhOo3NOiSWvkBvvS4auYaIyOZ/113GsIsJ/+fZhXZOJ9NuP49xSyYlnoN7RycYKJfaGIuQnBrEVZ7NdFTve4xurcab3YpMqmExJEey56Kiu4MiEUTzH9YleulPLiPgvnO+lMqtbocXnFUpmYTb1N6FXy2nNqsSl1p9fVzpfTJuUtjiBIhxi3Jz5Z63hN5IYPM6bF6HMVFZW9np/jTfdDDqFQsHBgwdf76/yliSeaXqjIbQ7LbU8XYQQWM1pk85nlJaCr8vpUF7c7h2SylHJpCjCQRJsc3ilSiy2RXxyDSeWLacrt+S8GDyEHGMivFCwguqnDolBV+XuozRfvYacAy2UBiawpSczokpieNcMXoOOoQ9uRTc8zb9IT3Jz6wucengC6d42go355Ojd3CQb5IaWF2j74ENEJQroneST64PYM9PJO9PKiU8chEkH0i/ewrtvVXCNo41PPP4jfrg3Abc9AsWJKOrTuU99ljvUHSgI0+RJZEe7jv3edBbWVCDVK1APTaKZnEYV8aDvHsB4toeoRYOkJJFIeSpYNOh7h5EbFMhyjCg9LhQTc4QasjmYWc1vNPU86C3HptDzkcHt7Bj5LsVHTyFJ1hOtz+LB1jQkQ/MU2EbJv6eYrMYkKE6lf0zC9uOIs+s+t9mL9WgbDM7S+7GH0O44jFYSZNNqFdIXWgjlWHnBnc6z6StoWr6KgiutKHqmmNxQgyskI3AiNldwq7MZvH4WM1IIRBBvoxMKMTBSayJotEJAfFHH3LmAKXF2BpkvQGPrCfHx0ZIVHCteQUCmoiW76vyaWBrSO2VKYzQhi9eKeLAV52JCoRBr1qyJH5Q/k6ysLPr7X9r8EefvTzxoeoNRO3GGNGfMhPJvxdHiFcglEJYrxPb2QCDKvCmBRaPlkv0279qJadGGOldLzuIEUwE9mt5pJOGoOMJDcKtWBgLc6z0u2gkcGjYg9QbJeHAPvrxkqm5JoT89h0cN9exfvgHJvBPlzhZuSFsg0bvIR8vu4vRPj4IvgEUV4ZMb/BQsjPGvue/gmDwLfrof4w+e599qhtm+7homQ1q+obmSKYUJhBEtXVNcPdLEY/rH+Wjnk8iCIR7T13C752Y+x5WMhvVEXH5xbEs4x0qwMpNwXhLyoVkiZq2oVxIijbBJjWzKzpQlmdPeJL6wuIKBJhdSr5+wTsW71G38C8fR+bziQN1gIMJXJOt52p5NV1Ie79J0Ud/aBC4f3u8d4J8nGjF43Hx2cTc3Dx8BqwGvXMHHzFczrU/kC+rTJA+NiFqpyPA8R/fG/JDe0eBAkqTHUZuP+Uw/x7pUOCUqUjVekpKjeBJidgLCzDjz1Bx5O5rFx0nJYUHWdh6924U8FOtsvOHIcxhdDnbm1ouPlRfpmS7G6lpAFfSff1wx0UaSM26YF+e159Zbb40f9j+TxsZGPB4PCwuxxp04rx3x8twbjGFLjmhk+UrlvJf79R6WSmKlvnP7LnXQRaWx14VskzcUYVRuxqxUoIyExeySgGnBRndBMZOpmcglEspCE+wqWM7N3a1MlGZimbczVZyJwqQmlJGF/PEop4KprJi2obp3Exq9nISJGd4b6OaX02G+fTqXtZN78HzqRowdMxSqjBSOjPBBQz17VmoxJCWwcvgY3Xes44oDTXScGCM/3Unyf1xH0qEevrx2hPs7l1N0eC8PeDK4dW6YwoJE6J2j5ORpiqMR+k1G7P5EpOMSjqcU4DdvJMW7QF99LWsWOqme60AdjuDKzcPaPYRi3sW8OYdT0koeK1+HdnoRc4aDwrkRxpLSucHezHbbz9CNzxBN1IIngH1LFf/bX8bvQnVUKvpYVxagMkMJ+gz8Sg2/s+exdmgPe665iW9Z9yF97Bh8+i6+I82HiWneMXyIjf/vOrzKdFQ/2sVP1t/KvkUJaRofb5s7yUy4Fr9EisLuQ/PUIQ4XXc31hfPMpaXisZoIhCAajqLrmWSbOtYNl2QJktY7ikOmI7ezj76UfJQBP06pnp9f8y5qW5roTK0Rxf/CpLj0+UlmDMkxq4Fza2XGkEhQprzwWJ9E4fQAHrkWn0LzMtq42HMF832MmHIIS+Uva2wZJ86rQTDfjY9PeXV0dl5o2qiqqhINLr/2ta/xjne845L9EhMTyc5++VFbcf464kHTG4wFrfUvfq94sRICp4uCqNW9xzlYvkp8rJbHgqYrWg6iSDZyprLufFmnsK+XsytqSZ6bZyEhgZHVZdz4xAE68wpJt00gDQeQunwY7XaM0Sif7W/nOUkZyh/3k2seZfq9m2DSjvXD9QQe1HDtU0/Sn7lIkc9H1O7n2jIlvZ19PDuu4Tczdj6o6kVyzUruyTDzk745HDYN19X8B48YRyhQD5F6ooPfNIT44WQST2sqGZ1IpLoC3pN7GrlWjmTeTWHrJB+Z281QWg7bJH5+U96I3OWjurebXo+U3+TdyYbBU4zPJOFIr2NNoBld0Mt+WQG5A/0Uzg2TpA5Qq5ig4Op09Ec9SCbconZJ+kIPp9+2hS8NrcQ4N0eRZJx/fXuQmudtUJxPaHUJH9uTizq0QCBFzSPuJ9Ce6IX3X8epziDPHXOxbH6MlQ06lHOzcLQTm8nIU88GyFuc546CRWQLTsIOPwVfe4K92dXsTKlDq4qwaa6ZnuIaIlEJwTCkt/bR6UxgTmfBZAqhlkdwag1MG5JYKDewIDeJHZWm6QXCyNidUy9aOagUUmRR0ApeTNpLAxmzx8GCNomVAyc4kbuceV0yC7lJlzQavJwFwZQh9XzAFCfOX4PVakUqjRc8XgkhCBLE8vfcc89LXvv6178u3i5G2FcIsOKB09+H+P98b0BEAfefmBX2cshDIWpGWjiR1yAGUccKYoNZhbEqC3oT+xILeL5kDSaDAt1FWpienEKCyNHa3SwYLOgT5TxTt5H1nScYKE5C1ZiETg4BZZSSHUeZurmCsUPJfFtfhXeri9osP6Sb0fdNsv76RE7PlFB2dgeqb2wlq20IWXICt13nYfKJbhQj7fzu2ndzV6kFWcDDvV9dxb9/bZyNR3fznX4L//q+OvJq5zAHwnziX7S4moI4xyLsHbDwbN6d/EdKO6utw0hq04kO2cg7M8pHM7r48ImdTCrMtJuyMA/1sWXqDN++/n1i2c3isePLTKBoup87OYumIYn1v92DothKtDwFfG4kM04kGwqZzc1k73QWsifGMZdOUyhZ5Gv6ZlL7ldBYQHBVMb/6zizP6yq4WSbhY/kTpBxvgR98nDFLKvf/MIhEZcd673Ky7PvxVmYQLLfyhcfNFB09i6cyi4qcOaarV6I92I0jI4muTsiRTJFUE8KWkkb+nibcVhO2qjIkLh+uQQWhDDl3De5kVpXDcF6uKAJXeX1kOp2MpGVjtDsYUaZiWJjDp7OglkopnehhRhCpnVtXFpcNp1pPX3IhslBEDJgEMhfHRNfxGX3KS9aUsH4EY8sZXTJOlRG38oKgPE6cv9TUcslzKM4rIwQ/QhA0N3fpKKQNGzagVqvZsWPH+eeE/YTgStg3HjT9fYgHTX9HLtcB9+ISxlLZTfhVv2yqheaMmpd8xsXvv/TXvzCMQ3pemCbsJ3jpCM7gikCQyql2ThTWi+85WtCIKuJFrlQSDITx+sJotApMNhvqgA9jyIk90cJQVi4Np05ydnU9K6MD4owzkyfEFVH3+bEq4yX5BHOSSPNo8DTbGfndMHXvUCELe3GkWtlocDOXBAOmdB7ZYeWba2wow1LS76igPFvOl55bi/wA5BQFWPOtn6K/7yq+ntDK2aEWFgaUfMJ4N1/cEqAiB1TffI7/qUzjhXdU8x89pSxrP8Mfz0b4Xe1aPj61g7wbs5Ck6pH4Q0h8fjJX6Mkc6Cd6azKSMRtXen6N5FA/0SwzErWC6HtKkWxvh2RgYz6SNblIembFUpxtdRn7R6x8bX4d/9n8U54tW8f75w9Q88kaNItWeKoFzxdv45EvDPKDhPUoJWE+nNBPwefeCdszcWdn8OmvT3DnC7vY//bb+JjmKMHUZGjpZ68ijx2tGqRFK/j+8g6cRdmEFQrmN9Swy6xmpwOuHzrCurlRWleswZOegdrpJhiBAa+ZM4mFqFQRTm9dTygoFRrjRPH+tDkZs28ehc9Pd0YRAXeEbMccc3oLagl0pxaJa0MejNDYdxKH2iAGRz75pSaVY5ZMakZbsKktBOQxf6eL6U0sOr+e4wFTnL+WnTt3nr/wx/nTCAHQi4MgoUR3/Phxampq4tm615B4XvQNRHtyrN38b0FYJud0TrV4P31xkpy5ETwqHWpF7JQHghGxM86l0bFosNCfXSCWeASa6mPZB1O2DIkkit0mx3KoD43dSfHeJqThCKln+7gmZRypUsqES8UBfyaakVlCFj0SjYIr35fKdzfczcjRRfp/3I5ie7PYFfie+WNsXRZFGIP3Tw+F6P/4fZCZiP7OVZR//1YObL6ONk0GP3rQS8f/nYatVXB1JZvm2tlvfpS1WU6WTfaQdeA0Dw1mcmPzBk7s9mAbcMHKHNCridZkIDk5TLQmE0n3lGiUKZHJYu7XHZOQem70RoGV8O+aGTkwz39GN3L7zHX8OFRDzvQoB6/czL82jLMq3YPmzCBM2Zkvy+OTP5LyU0MjCREPT0e2UbA5F360nfCim298tYNlO3ewbe0NfPdGJ6rmARTbTrGoNfD1Z80oQ0FubnCT2piIJBgm56uP4fFL2HlKTeV0P7LrigkmGZEFgpQcPI3PoBMbKTsXE7iq9yjFVhtCJSN3cJCE+XO/OiUSsqbGkJyLpfMHuxk3JbNmspPVvRcc48XzmluLQ2NEcs4HXB30YvLauP3Uo8jDQVoyll02YPprSHFN/U0/L84/Bvv27RO3W7Zseb2/ypuWTZs2ia7gR44ceb2/yluKeND0BuKVdCJ/amq8MuS/ROgrvica0zdNWNJIcsYuskokyM55OXncEfxSFR65RizT5ff2oZ1zEAzGhsMK7e5p6bERGU9LqvEoVCgWnUzmpOOXyvDnJrKsNkpzegnbjmroW9OAZHQR+dkxMhPDfCy3RzTR/EzkSjru2ELI4SCsl/OFa138T9vv8LsCvOehIAs/3QepKZjXlPOF6hk25AdpSSpka9L9fDawHq9SA5sr0EVD3Fdn55ZSO7UmO3+s20LGmQ4+b7iOH53JYO82N08dV3OyTcpgQRGLC2HCiQa4u47I7dU4r69lsLyMPTVr+dliGfd7r+exoTQ+nPIOfu+voHq0i7vHD/GprA6+lnKK4mojvHuNmNU5aipi+/Ne9pJDMNXCt96rpuSqAkhMIJKbwc7t45h2HuF3jTfyv+9VktrZTmBtEd7rq3noATe1zU2i0PyOtW4k3dPIeyaRzTh5+pCcsDNAX1U5GauMDDRWkna6m7aVNaLNwNCInMzRcZ6u2cgtHftQOzz0ZRUwY0omFJKKWaeRpCw8Cg3BIJy15LCgNdGRWyV6MQlZxrVdx8RzKGQhhfKbW2kQHwv6JUUwxOPLbhEDYeHxi+fNLXFZYXj40v0ut0YFg9Kl98czVHFeLGoW9Ddx/jLuvfdecfvwww/HD+FryJs+aHr22Wepr69HpVLxsY99jLcqpdPd5+9ffIESvZwiUVozKtnYul+8r1XETDE9PmFgL0gDIfEC3JVVTFFfrxhACRdj4bms7KCYbZqflzM2p8AyNCmKkz1aLVGXj3ubnmK1swenV8rgD9uRLrhxpCRg/dZ2tuQskFhuQOr289D/jODtmCDqcKHe28T637yNLf4+is4289TueQYX5PC9p9H8Zg8/WTHBf2iaWT7ayvF9dr71+QnmP/AoHO6HulxMy9PZ8t9VHFpxkPs07VztbueFopV8sf4eOseVdJ/w8KsziTz1iJcP2zfxzr01fON7UWqbb+aqjmv4w9PQudfOPT/+Ib+quYHltn6+Ynua990u453vS6BGsYAkVRBXy5nNzuPh4TT2PTSOExWb5aPs0j9HXWAGinMIByT8uFnFUYcBm0bPV7d6qR49S6AshYjPy6+nMvGdneJg6QreYxX0XHMEIlJm6kp4/F//iapfPsuq4RberW0WYjMCEQk99ZUEJFKU0zZk+8bEEuk6RR9zyck4VHqxLKdw+7hu93ZSpqeYNKeKXZAeT0Q0PBVmzQku4HsqrxDP85GixpcELcK68Cm0FMwNiMFU+XTXn7XehHlzldOtf3K/SUN8en2cSxGyIy/W58T5y0wuheve/v3744fvNUT+j7BwfvnLX4qW8i6XizcClTNnaUte9jfTQ72cMDy2T0Qc1tuaVnWJ3YD4+kWPg3IFc3qr+B6NTIJwpITynNTmomhxjO7CUiJyKceqG0X3aZ3NiUoZwpdkIDU1zOSknLO9ek5fuVLU2ejGZ1kwagnJpGzIXeDUdICHQ1UofXZKAmGG37sFpVnF50cPs302QIs+l9NfOUz9d9agP9CLcW6Cf7/ez72tKxnqymDxvX/kqi9vplKrRrbg4YZPNWIZkPDgL0fZba7gF/lXcbdpiPs8IfImHSCTYwr7aPxUDY1/bOKDLSfpzC1hIgu6pMX4fQpsPhd7C1awfqBJ7CrLtE1xd+sOTqxaSzTXwMIVWr5dOEWpWYv0e7vBuAosJnjvFQR/fIBnbDmc+Pkg23OuQFvl5V1VXr41fxRFQR58exveBz7HR/dZ2RUIIm2s4rurRlk3cAJ/dQbBFC0vDBXxf82ZLEv18P7NDjK+0k7ftVXIB+cwN08w1GTg8TV3UJkfILDSgyAaK9hxglNXNIpZph5nMm1mDQpFFEOGglNJy0XxtxDUFvb18dSG6wkEZESCEopGezmoiM2w050bm7IUMAssZYBenO1Zml8olOaWOufMXhsemY6wMJn4Fcq/bSkXzDLjxPlzSnPC7LQ4fz15eXkMDAzED+VryJs+aCouLha3TzzxBG8UOhPLX3U33KsZqfJilkoiS/sFZBd0KEmOWWaNMbfnJfuBlT3HOFrYSHtmufjnyaQSTISxIWMmpKbR6UAiaJwUsQyT+JkRuTiTTsg2FRltzMxYsdvldOvMqCLQtqIanQI6NyynpKmV9znd7Pdl8ftTafzysV8y/JW7iCLBf30t+SukjH25lw9Vv5+bz7r4XN48KKNoN2TzsPMIu3YP8V81d/PTJ+B/b7ue6wdPgMnM2jM7qL6/mCPfOsi22QyMCxNsf8aHbetm3vedXSS7F2BFAcgUaEus1Btd1L+/gRuEi38oTOS4nA+O/QqJZJLgbeX82/IhVMdlfPCKBfjjbqjPBbUCjg3B526C59qwr03jt21p+FpTOWQ1UeB3cPf8ce4qcJJ18yYIXQ0hCQuzIY5u+gYZigxuMFu58Z1pLE9y4E9OIzo1z2ldKtt/MYsuMYGsrZmsLHUz8Jk7UDcP41VpaOpWsOCW8x9HH8R+6034whJk/iDzKYliUOrxg/fIPBgyycwKMZuSSsgvoeL0WU6U1HNasCQISlhx9iSEorRY8zjnOIFWcsEt/uIgSRYKI4lGiUpi51h4XdivYaSJ05l15/dVBX34pOrzQVNcAB7nb8nvf//7+AH9G3HFFVfQ1dVFb2+vmECI8/fnTV+e+3Px+/04HI5Lbn9rXmsPm2ljyvnRK0afE73Pydq+w5g89svuL7hHN07FynnBUJQ9RY2UjXSj88bmkQm4dHrKujrEz81YmCY3yyc+v3c+R9TO5JztIb29n+SeYUYaKzHfls9ESQElPV18s/gmUp46gVS48guBbXqI+o/HgtveZ6f49WQuUptH+MMxSQJs/d91bM5009h1kg/9NsTTL8wTGJoFoxZDZQZXv7uQT9xnouueWziZUc5v53P4rL2BryrX8stWK86eBRizgTcIn3sCTg3B57chHZ5F6/OjKU3CuCwZlVoqisLxh+C2BihMFjviAtNudo+a+G2Xhft+oeXUg338IX89peE5rtmayCe+VkmWMQJPHwerUYyxHnh0gs9V30mmf5G7PlXBqtwgkRQTErcfx45+Pvn7JA5lLKOyXMp9VzrFv7u3OJ2QQcvgnJLfR6rQBz2Mf+I6CpvbKBKG8qqUTFQUxI5TtxoCUW4YPsSmyVNseXo7SbMztJdcGpAfL2sQf7UPyGMDT7VyQbx/IehWhALUD50R76fbJkl2zr5kPTRlN7xoPaUSkKv+7HUYJ86rQZiZJsxOi/PXs+Td9Ktf/Sp+OF8j3vCZplWrVolR9OU4c+aMOIPnz+ErX/kKX/jCF3izkOyaZl5rJSJVvKI7eMH8gFh+G0zME7NapzNrYgJq4Fh+zKtpaaBvw2AzJwrqUEcg6vXhdks5m1OBUhVm3ZmjHF22QvAWwC9XiQaLffmFJMsjTMxEaGw9RUdyBQkFaRiiYeasViw+N2W7T/CJlBG+mt1ARVcfJ7M05KrUZP1sF3Pv30RDUYBvavew0N7Pl1Pfh9Lfyz2njxGszkNzpoPvDY1ySKVD1+HlcaWJuY/vYeV3b6NswQXraigYm+KXT/yQkap8HlBaCbXNMxXQsu05Gd+y/gv/e+BHuFXphN55A4UpYQpuUmNYkY789BAIYvDuWaINOfibp5iWWJhwKxmbhW3570VztIOSr5+mLzELW4KW221Hece1Oq4sSECx7RgYKiEtGc/Vq/nxwzacv93PtC6ZT7c9TsP/XEHKWBthm51IfTYtOUU8Mi+hdLETz8oivqg5wKK7AvWpQaz7Wtl7/518fcCEzyhhflUjZQU+bBELSvcsyc09OBVqFsImil/oErVM2o1JOPHSWlPL6h37sFWswKmKiWeFLGAYKTtzVxJ2B8XZd5sHztCUHwuChPMdlCs5lVsrejKNWzLE7cVluxfzcoaWf2q/V2pSiAvA41zM4OAgmZmZ4jbOX4cwt08mk4kWDv/zP/8TP5yvAW/4oOno0aN/08/79Kc/zb/+67+efyxkmv7cwOs1JXphJIrAi8t8wvNW1wyDCUKwJD1/MfMptecfv3isyomC2EVVJ5dQOtbB4dwafL6o6PUh/DF3bX+E01V19KfliuW6Jd+mwqIAzfMlhPui9GeZqYjGBvb6kozY792KXhJhZV+Umz79DH8MbWKuT4F0Ux2EJSgdPgr+uZzWFctZ96vTfD9YgVY5wXWbtChaBgi+bwsrJxbI/0UT92feRf7JMd7+Ez8fz1nk7rQ+tNfVwG1XkO1w87n8MI5ELUfmNWx96mEeS1lOqyGLJ1RrKfjdGEVzw7iVWha3B+jLXMvWjgPofV4O7lOjCKylqaMct0rLuv4mrC2nSHEt8MzVt/CpwWfJvTuL0mYzktkOsOSA1UJ02sWOZRv5fz/1U3usnT3V1/JvulY2fOpOsbrni1qRf+9ZjgWtPPvZPp7LaeQ9swe40TyNdNpGylefAIeXrruvYeevFshx2nCXZ7KuykPK/laGC3KQJSWwkJHMQlTJ/kMGXIXZpKQG0esh68wQHeUVnCqvxa40nDckFcTfgpDf4411OKpVSk4WNCALXSr4vnitvFrio1Di/D0QhswK2f7a2tp40PQ3QghAhRJdnNeGN3zQ9LdG6DYQbi+mbL6HscQS/HJhWtdrS6Jrljld4nmfpIt1TXO6pJfVQy3tZ/C7mH/RvLrLjVURZL5ituncY6VUwlhKtiiQnpKno1LJOVy5iqbiWsJaJWmeGbJ7Bjm6rBFVMIxeHyU9yc/ErIrmM3osV1pRyKHu4Blml+WjX1ikuCSHn/3HJ5g87eLwLh3qG9IoCgXJemAftnddwdW1Ml6QFeJ+cIBnSOHU43o+e2UZKmkQSboB6/dv5beHevmhtYGNh07w3FQyTyWl85kXnqI+GxRpFnjsKMZP3sY1U3Ow8TrWDM5zJlLH6ief5dHaaxka1XFMk0PxVD8ruk+zL6OG8ql+xrSJ5PrHeX/rM2REnThrS1kx3kfCjcX8Z3Y7EmG2nSEEVy2HtESie1vplVto/ujzPGquYSK7ElV9A9vmHyftpmUEZD5RfxQdneGR1dfx9ScshLLSWJ5oY8OHyvDM2XHX5BEttzGVmsrP95m5uukJdjRcwc21swRkGhYsJuSLLoxDUwznZdPepsLlkovi75zcENVHT9GWVw6+MHOmRGpOnaE7MR+z205XanGsY04QfUtAL5OIw5XPr4+LMkpLwfTFj2MZp4ssAV7BZiCeLYrzt+Chhx4St1dffTWPP/54/KD+jaoxgk5sZiY+cPu14E0fNL3wwgu8613vEjNGgrbjscce44c//CE33njjn/U5nQlFKF+HgElAFfKLhoOCcPoSolHxNUE4/EoMWXP/4j/bb0kgv6uFgFRBqieAQQ9TCYJdNhQO9XNq+UV6l2iUtEop/c16/F4prWc11NV56V5bi1oOs0kG8g81o9lQw8l+ByfdGrb/3sUd79aQcN1ytOPzSAanuNPmJPOuYn79jBLPWR//NZrJZzvPYvU6CH38RkyLC/znv9ZyYpmM/9eahqR7jH+XNeIOpfHOFLirsZpksx6cbshLRpdsZu2xLviP1azLVxONKggPDuL7wW5cN5UhGW/C+Z9b+JgCkp4YQSFI+d7zNiR72kBaDptqQdBY/f4ASKQEblhL889P8p1wFc7OEWzZFaT7FvlIo4f3XK1CvS2VUCiM4pnTeBuKOPKNLr5sKRMP0YeCR7m+MIxvwoqscwp3UTpehZzH96nxdtn48ZV3cv/aaSqOnWSyrhTz0CQOvZ62dfVojo8yMFXBxr4TTNxQjSD7OLV8OdahacIyGV6FipOVDSSNTuJTqsXg1+2JZZl0ShlSiYSVvcfpTi2mYryLE3mxzri/NcVz3UzoMvAoL3UVjxPnTyGUkYSMdl1dXfxg/Y24/fbbxaBJCEjjw4///kj/EVxRx8bGxKDJ6XSK9//cgEnkIvHs34NX+qU+Ycw439F0Maqwn3TnxKs2umeG7IQAAFGqSURBVBSyBktdUysGTopBjjBr7WITwqWMwlJnVVSmpDe7BLdSxXhEx4LCgD+iFEtAhytXovT4KO9op+5kE3KXn7ShSYqKg0IExeiYkoFhhZAEEb2bMvc107mymmAUlt+o5V+6n0Zud/Pdp4x0G9KRDM0zX5rLzBXV1FZL+eAHlMxlp7NLXsSHBurpnJAQXFgglKAmsuskK47t5sllZ7j/DgurfCNIpxdR/veveNf/LvLwO59g345ZFhxyODUIhTmw7RTc+D9IumaRnx5F/4lbSN1UTorDTmGGjoxP/QxlcTaSK+qQDNkhNxNW14BaTzA5haM33MrnNVdw62cn+WB/Mb0DHgod49ywLMpXv1XI+64HZdNZ/BuK8BdambaF+Mr/uXhqPkM8trevcnHVJ2LjUQLuEBMba0XN+S87Mzg1rsel1fH2K92oM9TMZKUznZxIy5bVRHwhcvY1s2dM8DSS0LGuTmgeJOoNi+XR9LFxnCq9qGFad/QgTqWekcQsnC7B1R1qpnrQnrMZWNSZcaoM4szBzPlxJIK5ZDR2rl+u5GbwObB4Fl5xbV1Mn6X4koApXsqL82ppb28nLS0tPvbjb8gNN9wgNn8888wz8YX4GvCmzzT9IyOUCgcT8i+xLHilWXQXP9+U04A0CnZVzP156b3hi8p1epedTNs4HoUazdwkuwob8SEj3eMhb2wER5IZQ8hNT3o+ZRN9eJRaevOKEC6XV8p66F600N6aRPVMH77GHNpW14k1QNPEPGlDY8x9fCWzp7Nw2KR8+0kjH71xOWmSCNFQBPMLHTTY3PxxZJQvZVyPbnSIzyWuJ/25BL7obkZ7QzVSRREyr4ebhnZx3RdWs7YvxMyUhSv6TnDCmMyplgRC7XauCcsoTprDsOVWqgtLSa6tQt1QKcQfcLQDPnsvHOmDf78TRmaIBKU49nczlJiJ7AsPsjd/OT81NuASm/0i6DCx2dbGhmw/qxsiGGqdBPU6gsEgCocDnzmDE//bwgstWtw4WUxJ5YfWPaTmZuCXGLCX5mLZdpKRrByc/3MUj3UloWwLm66SsWX3s7h0WvFY+aJSfCE4s6qOQ0d0LMrlLLf3kFCsx7uoJnV6iu6cYgLIifijYtBUOtCJZXae32y4FbdbsMOE1KCH6WgseOlNKUIuzKiJRjF6HFicNupGWvj98tsvKcEtleZWDDfRllpO8Fw5OMs2ik+uZlZ/zrbiVaIK+TD57C8Z+Bsv68VZwmaziT9uhR+6cf52yOVykpOTaWlpiR/W14B40PQG4XIDfAVeybPp5TrpLkbQOl184YpIo+fTiy6VQfRuEu+n5IE/jMsdZs5iwJVTgVwRQamMXZjPFFejCoWRysJIIhEqIlPkzA6yN7yMA740ykrDSM0ydIsOSrcdoPv6tWDR8PZNLp7cpSGvrYtvhiv5RGU/KfVmFjNTSOxpxlubw386jvHbd26kZ7ePPUNmhrzr+fQPDlH62QbUejWq3y3C7AzrlyUhu9PCtMbKjgUrXXMpOLpnqduzkx+tuJXOZ4TlXANtfhJ0sHXoBEPFZUSbohQMBJjSgXYKnknLIW8ywj0tz/FY5WY65AW8d/9jtBVXkbSpkHfONVN4fyoUJSH79QuEPE6CAQPyF9o4UlTNA18PkXRKzq6iFRQVSvmP7FYsCyHmVBrMu9qZ21iPNzeL535t43DF3agjQa5f5yE3M8jwsiKm01LJaOqia10dgoZb9oduPIpqrBE30jUpLOjU4A2LAWrQL+VY2QoxGNU7nDy5eit95jzsNiHbB1f3n2Ais/hCBvGiTFF3Wglqn5+BxPyXzQY1ZdVfst5GzVl/kZ4pJJWLwVacOC/HAw88IG7vuOOO+EH6GyNMxdi+fTterzd+bP/OvOnLc28m/pr5W6/03ovLbUsluobhU5dcRC92hF56fPF9XRSU5wI0hyNIMCARu7PE+WYhKQ1NJ8WZdEK5KBiWc3zFSjrv2cB0eioJs/Mk/Pw0pvZh5o1GTl6zDvXUAqkHWkEBb7vay1RVAevOHqPjoVFsv+nAaTYyck0jC5X5OIozuck0xHs+ZqA4LcCNTbt4v/oWPv8FL0ceGMKvkRGKBgkYZciePELCpkzuKZrmD//s4sEv6qnKlfFfk9u5x9uMWRnT+Cy44aGkFRxcNOA+NcwuXwoH/Ylk93RxZddRcpzTODNS+Mj0Xj55pYd7atz8pLqT/7rZSf795URCbsLtfYRDAdFOoGNGyofn1/IfP1GTe/QML9Su45/rJ/iW7ynSX2gi5AhgfPYMtpREnJ0L/PKolbkRPyG1ik3XSlg93kzA6WOkOB8PUppX1xHwh4nsHuVIuAC/Qkl15iIrWs+Ix7ispT12vEPCHMCYC7g3qmROm4jXFxEHLgucLl/Ngt56yfm9eH7csvE2El3zGL2O8+LviwXgF/OnymyvNGtO8CZzqE1/0dqO89bgySefFMtIb3vb217vr/IPxy233HJeMxbn70s80/QPypmM6j9rf+E/M6NSzpw3SCgcxesLo1LHgqiS4R6mrEkUDPUzVnJBdC6XQ3lFAGuHnT/mbMBsg8aIB1tqIr7MRBYDPtLa+nHU5HPr1iADszpCPT4OnFGwYqqLtA8uI2pRkXi6B/3wNMuWO/jmpmz6/Vkk+kLMTMtx/ugEH950PXcOj7KsWIL0e+9G0dRPJCMB+fPNpFxTh/SP/0zqrhaqNubz+W8/gmNFMWMragkd6oZ5F5Nvq6b6/30ff346ofcWcG/fAKrVBSiavERy81ilH4R31BGqzEC+u5XQigKkU3YiDg9Halfyh9MGWp+FLPswVy6OUZXh4+r75kiYdOG3ZOCtLyLkC2NPT6bDZWLkW2eYthRQEVjgTsN+XPpCnEkWrvriLzl47w1kH2lF5vRyNKeasS4FMzlW8goCBLOSOVGYBn6QhkK848nf89B1d8cOdjSK1u/FOLfAiCJDdEHXqWTIhUzjKwQ7ggO4YK/gk6lj7ZN/BaWznQyZc/EpXrkxIU6cy9Hc3ExKSopYTorzt0XI3r3vfe8TR9TE+fsSX71vcC43VuViz6aXK9EJQ1hf8lkv8nq6WOMiXE+FQa96tRyXL4TLHUKtVqBGSnt6qWh8qZCFUAgq73MUDPQzWFhATk6QkFzO7HSUk6c0LK8/lyJWqvHlZSJU+MoOnkb+3jr2ni4h4Y9NfEe1gcQXlLx7s5vIbVdgHJtBMzqLdMJJ9n2l/CC0yLNnUhiezaEtmsJPuyMMfMPCleUBrlmmZrnSjnZ2jmhbH5KOCXwri0ARRBoJoNiUT2FbK9KFESJ1eRTXhOF394NKgeyZE0TeUUu4KI1IrolIogH5zhaiLi/0DRPMMDMy5OLEUAIv9Gdh+t0Y13cfJVyxAdlVxdxmsaGrycenlbKYmwG5IO8YZyErnadazexqVhMt2MD/O/Jzxv73Nub1UfyuACGzmR0fuYsFo5He7GyGx+WcPqVlbfgUN7qa8GqykcxD5tA0rbnlONUGnl639fzgZGkkjMFhp1OehF8qRy6TxGbMncv+XHN2l9g1N2bOvOR8n86qvXCueamlwJ9jM9CVFOsQfDXEtUxxXqxnEm4333xz/MD8HdDr9ZjNZjo6OuLH9+9MPGh6g/FqdEqvxNIQX4EIUqTCeBV5rAorPiuVkLkwzoQ5/bxv0xJRaRStTILG78LoXGRYlk1SklzMQgkXbmG5SEIxjVPO6DDpYyP05hSymJlMg2oe7QuD7JMsp+k0NNR5yegYwGPU4s5Npbu+gtyj7axqrGBaVczax86yT1rDV/5g5LYGG9f5FpmuLEBqUpP25EmMfh83blqG7N+zULvdDD7txNzbytSQmo+cLWPt7CS5heVc9/OTKD+4mtzhMaImBYGyZGTfexr/veuRL5qIRHxEe4eQjC+iPNJDsLGAsFqC7PkTSOZd+O9ZhS0nkZm9Y5xeTOaP45X02rQkuRZ4R8sOfrvmJlZkuXjPjRqy23cTMFlwTzhxSzUEFTIsRzvp1afx4+eSGJ2Vs7XzIKPXr0BRXMWqR56h6e5ryDzajg8pYYWc8ToLSU+1MDlsQpNaTN+KSsrS3aSNjNNTUsJ0QQIhv5SWvNgw3EgoViaNIOeMPk+0GGgYa2ewqAbZOfG3cA73lG0gIpGLjt8XB0Iv58t0uXX3iuvqVTqFx4nzSv5MQnt8nL8P1dXV7N+/P354/87Eg6bXgVca4PvnvPdynXQvzko1jJwSlWsncpeff48iGDp/EYxeLBKPRNnQe5xDhQ1MS6RimW7RFsGoV1Db20JXWSkhaSwAcyp0vLB2M4T+f3vvAR5ndeX/f6cXjdqojXqzZFldcpELBttgWghkgRQ2bHZJgd1NwpL2T8hukmeXQJIl5RdICCSEZFOWsIFAIIABm2JwtyXLqlbvfaSRpvf/c+94RjOjkTyyZZXR+TzPfWbmrfe9M3rfr8459xwgs70H0Wl6nL6pGII2N4aHpDjpEiBb5oCmrwstGRpudRpLTUZU2yCqzAb0fyYLpjf60DCdgs4/9eF3afG4Xj8A8XWFcBjtmEmJg7NnEol/O4k9916L6+5XYeTkBN7Vq9EzYYNoxojjnSlIanbjlZ+KoNVsQ0aLAFnxatzW/yq6+uKwYXgQohk3bC4Zko4OQ9FnRWNZMga6E1H5P+/ilx/+J3T9PzFGp1PxsfopmMVGVDiPQJS2Abulg8i+NQPP5JyBe0MWXDMWaCs3wJyVjLi/nYY1Tg1ZXRf+R1CKxKffR391PmQSNwq3y3GT/l3YXQKc/PAeWAViNOysRsaJRqS19mI4ehNexG5sd59DUqIDqYUSlL53Fmc2sRgnEaQ6E9RTetjsYp4uYDBaA4dADpHeiPKWZhzLLsdIah5YiWb/4G8mmIKL9F6stMnlJLP0P7bEaUP+VCdaEz2WKLIyEfPFM91xxx00OFcINrYkmq48JJrWgLUplBjyUjLahKaUksCZd74HmgtnMjfz5ewYrJCvWSrHYFyGrw6dL4D4wnk6k3MRZbfBqoqGwmCEyyGEScRq0xVDPTWNa8+9h7/s+wiGYjWQ2p1ImNRiRJ2CrtwCbO9ohL2oEm2tEoyOSHB+SozzH98Jpcc4BZFWj4GSfIwJgbS+QVxzlRuZHUN4LrocsdM62N7Q80KxN+3chthkT609Y7Iaqa+cxNinr0PZ688j9R/34CM3CzHYGAXNz17AIx+7D30TCtgcAsTVDyC/5TD+o+IGxP5Gj3wtkDYzhP+tqkD+pAAdCZmwnmJyA9gadRXOtQphFYuRrR2ALV2NKuEY4guj8fcZ/XBWZEDYPwVtSTbfPrapEeakeOghQXLTIA4X7MVrfemYNgohqrwZlXFabN4jRs4pPRSd43Aq5DCKpHA4eDJvNFaV4rAgH2caolE61oGx4kzslvfgvLMQEzGJSO0dRHNhMWwiJSwKMaZjoqEyGZA72Iv6lI0Ys4gxmF0OmUgIiUAMpckAi0gRMFtua3ctGjUlcMHjmg2VYiDUb+1iXMzKZGe5vtSeCutVw7WoT/G4BAnCv04oi2eSSj1/f8TSw5I833///TS0VxgSTctAxUgd6jVX5kHSkZA/77o4kw6TKrXvs9Jm5vXoqgbrcSJ3G18WZTEgd6IXDVml/LNDKIJLIOAP5wSnAdNWAcbEUmwZbsNYVib+sve2gHNo1QnYdfYohnIz0VRRjlSLCbeMv4//l3IL3oqvQtlLPagqM8Fano6ZlATffpM5qTyhaEoh8DmTHodOqfBO1BbE1hmgPWFF5p4Y7C23IHFwAuMf8ljJbMmxEGsNiDvSAtxQieT+bPy4oB7GTRkYGXIi6bEDePmrH0eVSQZRnwljBcVok8Yg2QUoFQrcOtWA9tJSxCscSCtOxLZUAzLj7Kh55RAkChGsWUmYvL4ITONFv3IGwnE9BFo9pnYVw5inwXRqMgx/bMSncz+L4Xc8wkQjNuKWDWMolE9iWJ6L0dI8NO/ezIWSfEyH2K5+tBfkw/7qII67i/H5E3/CiX27EF2lwIDNM72/ZVMxrFYRT+WQOdyPdk0+8nu60ZOajYRpLaYVNiROa5FgNWAiawOUM1ZIHXZYlIEB2Weyq7jAYS665YbNnmPUpVaTpYkIgOVmmpqaurSkw0TYxMTE8MbGm7hykGhaBkIJpvkK8IaD/7524WwdPW5N8MvtlGicgE4Zx2ObfHXsRAKfYGIPWLM0Cs1pxb7YGJ083neO6YRU6GxOwOHCe7GFSBBLIfcrBitkQTUAXt73YSjdFritQrgcEjRdvRW77aNIe6keLXGZeL4rH5/qP42J6zfBZWf9A6JHJqBLT0ZWew+UahVu35uAniEx3qtTokUbg5Y64O1zcmwpqMDuVCty7Q6MVW+EflsRqxmCzJ8dwMCnr4VsXIek374Hy+euh7osFp8afR+G/WVwXy2BorkNkvEZTO8vZ52FeEQFR/IkUh96ATO7imBRJkGos8JcmgXtxnSYktUQjhrgUKugnDBh8EPbYRVLoDdLcHQ8C++/I8OGZjWqDUdwsGI3akosuF7SDaHTgf6N+bCbHZBPGmGJiUfG0Ua0lxViICceJ44qIdRrABXw+j/cDk2qk6cTKDrXhrriKv4+eXAEIpcTU7JYHj82pkyAxSHCy+lb4bC6MB6thjsxCWKWsFQRi9zxXkzJ4nkC0x0dJ3Eib2uAa+5iv52FXHMMkdOB4vFmNGjK5xyDMoATi+EPf/gDf/3oRz9KA3eFKS4uxvHjxylf0xWE8jQtA5UjdZd9jOAcOeFs2zWPFco/T5N326KhtoAcP/kjXcjUDiNW6pnWzuLJp6bsSBwb5TmDFEYTipuafLO7Nja18FeLQIZxpRpxNiOcV6eio2gjNnc2YqjOBsOBIQhHp7kVJrZtADufeB7dG3IwmpgIowNIibfgk3smcfseI9ISHZCZzMCb5/Ho8zH43p9U+D9pJZIefglWvR1TuWlQvnEOU5pk6DI0MDhEPBZq+JpKuNq10IvkGCsrgNkpgvSNJhjsItiHDDAa3ej4yh2YSVBjIicdY8V5cGpNiH32KAx2IVSv1cE+OIMZhQofjKnx5OEE/Pvv4vDXY0pM6kXozsgGbirEv9ysRcUmK7QZyRjIzoDRIYB0eAozMgXMVhcaN5eiW6fAoXdUKD9Zhy3DLfjF8R8jRePy5bvyCiabTYQ+dQY0gyMYiU7m60RmB5Lbu2C1urC38xRiFRKIhSJuRbqq9TisQhkXTOx7ZIKJf+/+3+uF79Y/L1OwMApdisezr1MkDimYrlQeMiJy6OvrQ21tra8988wzfPmGDRt8y1paWla6mxHJ/v37+euBAwdWuisRC1maloGzC7jm5gsKD84QvtC+F0tB4HlgOlE+3IAz2Z4M0AylRc9LjegVMRiPTuT7SpwO7sbTyeOgV0Zxy4ZaKsKE1QGn0w3ruB72aA0vz+JwiSAxWJA2M4aEkXEuALwotEaMZ2lQFO3AlpNdeD1pC5zDQkg+ECLxWiGSUhJhkMp4GRGXEHC6BVBNGCC2WJGeK8XXu07h6IeqcK6jCMI+Nz706kuYkSnxTc21KPtuGyw7NmLHTAcS3m2FSaHkQkp1qhNtn70FLpkeJpMLbokYCV0TGL2hGha7EIaiXCR80AjtzmJEn+1DdN8ULIlx6L5pJ1iuSOFrrXg9qgTvn85E0rEp5P71EM5t8bgjk+Od2Jyjx/UT9dBlpmDGpkLe2+f4mNXddBUsdkAfH89djrGt/aifSEDMyQFYN9TgeGk1CoscaDjngHpwDFa3BCMxyfw7sTlEcFoB9cQE3i/ZAanejL0Nx/F84T4YYzzJImuLtkMJASQOB8p6mnlduR0dJ6BVerK9B8+W88UxOV1Q2M0wS5Wz6xcR/B28LVmYiHAE06ZNm2Aymeas27FjR8BnpVKJxMREGtQl5MYbb8RDDz2EgwcP8ldi6SHRtE5geZtqM+dWFvfKq6koj1tO5rAh1jwDq1QCs8tTFkMkECBeLsakxYEWdTYkegeynRYU9LXzB39jcRnP4bT3yDs4XLObJXxCW1ER1EYdCjva0PaJXUjQCnBiRAOHQwDhYTcmizbgNsMRpLb3QrsxG5lnz2M8Nx1TKfGQwmMZqelpwF6rGfZUCQ7+83WoG4mBuHkYE+NiJLx8Dv9f1U0QzLiRJzdgz/EmHLrriyh/rg2K0QFEy5ox9NGr0frJGyAUuuG2g597oqwchnEB6rZei8kZIcy9epzvUWFQK0ZJZzRaUjKRO9mL1vhsdOYUYPsmC0pz7Sgc7UJy7XkM7iiFXSFDzOgk+isLA4SEUyqBdlKEupZkSLQmxABITbchN9cBt1uIuu01EJjskE8ZUdDZjrSRQUj1FrxXsRtyGy98B5M8CqeTCmE0ecqksASWygszFit6GxBrmIbYacexDTUXjV2SOazY3fkB3tx0Pf+8pf8MatOoujxx5ZiYmOCCibnkmHgaHx/nD/IbbrgBjzzySMC2TDBlZWXR17GEyOWeezbla7pykGhaYyw0ky7UtoxgS5Z3uUmqgvNCDifvMrNEgcE4BV/O9vM+mKViITbPDKJWlYrSnlb0J6ejLz4Np3OreIHYzqQcKMwmWCGF+EKJj5zznThbUQmhXIjKzjpkx43jdWcJpqZESHn5HNqEImyvO4Xhf9FgLDYOk0oVpHY2G0vAcyjFTunRdusuSG123PX6Kyi89zZUNR1Ab2oCXizah6LeYUBnRmtyHnolW7Dz1Xr8Z952qO3TEFhd0D7nEYILEWt2YVrhmamXZJuBRDUJxfZ01KQ5oI5zIvPwcfTGlKM/Jhs9G7JR9uK76L/pKphj1cg61ghjfAxMiYDeLEBTsxz9/VLs7O9AQ85GYG869ho6oR9VYSjWU8jW4VYgZbgfTTnFaMosglhvhVkgx1hSAlgEusHowpDMs61CKvIlsGTUZ5Tj6tajPL2AvwtuR+cJHqcWbAlSm6bwft5VPtccqzOXNDMObZTHqhjObydcyC1H+MMEU3V1Nb797W/zz1/72tf4Z2J5YMHgrLHAcGJpIdG0yvG626qGalEXwkoQKm/TnOK/fikIWFC4v/vOP+VAAEwsiYXY2X4CdVll2NJbC6NciY7kbDSn5PMA6Xdji7Dz3GmcKd+CPeeOIGe8Dw05pZ5kjC4BjpVs43mcJFYXaosrIZYA13V34GxyDg5LtsFhc0NxZgam53qwU3cW7fu3YrQkD+x53bVpA7c8SURAansfDn/6Nn6s45+/A+rRCXxE3wNbaTQEIwaYhk/gZFY54uRK5CTYoRgyY4I5tARu3NT8AV7btJtfEksK2aXJglpgQcVkJ3SZGtx4/j0c/sydSIp3Il5VhKjxKRg0Vl6ZxOQEmndW8aygTAeyfrVsLYPRDljcQNPmUqg7h9B+1oXGgThuyWKuzULROBzbNzJPHXoVmbCApR4Q4sOvvYxXrrmZCyYWt8SwiKP4ezZeRpMTer2ndp5CLES0WAjJhbgkBrNG1WZVzn5nFwK/T2Zv9cUyJU+PcbcdgwWWWyWzRXR52gmbkYumy8nLRBDh8sorr0AkEmHv3r00aMvM008/jS9/+cs07ksMiaY1kuzSXzD5LEgXLE7+MU3eY6XODGNGEQODTBVgmWJWB+9sOn+hxLODX3ifP9aF9tR8nviSxc8w3i+8Ck6JEAoIIFLKIdXroZVF4XVNBeKsAhws3wuxxIWijlYo7RY0lpRx1523nMuOY0dw6uodvA5ajnCau6zOzSTh7YIaDMRq0GFLhM6YgQ2TVqjjXLC6AMmYDsbEOPTlZUHoAKImpxEzPIHBsnykD53HRLoKgoJoxMTrUJ5iRILYgdxCI5MX/IqihjqRKdMi7zYdFzAiYTquFjqR+24D+j5Rirw3TkJQFYecDCuPRbLaXZDqbTAmCrhosrlYwk/PmLAhZ8LJlJDI35usQFe3FLrGVGiF0XCyEjQqF0rSzRgrL+buOOmkCdl9vbAIpGjJK8IbO69D3MQkqjq78HblHn5cJpicTvafoRNmFuDFcm/pBhElEmEwMYOLFa/lLsakh9Ruw3h0su9794ol7+8i2mzwiaah2LQ5s+X6YrMWTnp5CZm//QVXqn4IToEIYyqPtYxY37CA7/z8fAgvuJiJ5YElEv3zn/9MoukKQL/kNcCl/JevU8TCIvKkI/DOkAs1eypT2+9bxz4zVw+rezZbdsNrwRhHkm6cv5cLBKjWD0PmtENp1COvoQ4Ws0cATMjVOJ1Xha21J1F59qzHimJyYTgmmWe8HoxNhVkghVUqR0GyEdfHdCIlzoyW5DyeSfz9w9E4dkQGZ90YRhUqRPWO8pl1LMTHYbDBZrZDODyFttKNmJbIkXi6HcOaFNgMdiSeboPmYB2y/3qUz2YbS07CmY/sRfbhOtggQPo7dXz5tEIJk8mJjspNqLt2O5TnB5H12gkIRnRQN3Txc3FrkgP83FEdQyh//hDMTmBiRojac3LUveiE5rVmjIliwerX7ontQXGpHUl2I0ZVSfxadbIY1BeUIXZiin+eEsdiKEaDUwWbPbMOLwgm3bRHMLHSLVESIaaSszCkTg/I8M3alDKeC6aFZlL2JOQge6IHGZP9C86W84mpMGa8Leb3NxydRoKJ8BXotVqtPJ6JWF5SU1NRX19Pw34FING0xlIPhItZovQlHFwIlyCwsC+LjZlQzZ3RwixWBrnK97ktswhRMUoYFCqcTC/G1LQNFqsLGRNDfP2x8u04WeaZCu8QS3B+Q9Fs35RKmKKiYFEogFgZbpadx87SSSQmMUuLG2NaOZ4U7ME778Wiu1MCzbE2FL13GmWHTmCkIAt2qRQiuwNR2mmeEJJhjVai7qPXof2aaiinpn3nKn71CIZKPakXOq7xWOu02Wn48Ld+AZdYhJiRSR7UPVS2ATOaRJ6xPKOhHVFTswniBtPT8NzmG3H8WBTeeVuFnm4ZEnWTiIUZRSVWbN5mQXySm1uz5BbLnLE7umWn7z2byq+Piva8Z0Joyg6r1ZMyPc+mg0rqqfV3ObDvT2mfO3vJH1b6pGisNWBZ6oznuyOIpeCpp57ir/fddx8N6DKzfft2nqupqamJxn6JIdG0ilIPLPQfvzffTsA+80wf9z/WnH18OXs8YmM4NhWbRloRY5zxWZv8LUzsvcjhwKah83AIpL71av0UqvpakSgTQyzy5HGqOnkE7ycUw24X+PI38WYXIq+9A5mtXUjr6OPZr72WlvrCcjTnbYJQKUFBoQNbaixIz7RDLHbDahagp1uKJ8a2ouwXb+CUKw3dpmhMKqJgtzoAgwVOo5Vbhfxbw67NvMadcGgKTI8Y3SJkvXUa6e+d5VakidhYvPTVexDf0I2o7hGcq6nEUFISst+pQ39aKs5vKkCPKBbNnRJ8cFyJVw/EYOB9K0TdOj7fUJ3gwObEMUx+shIJCW44HGIMJKTBZhWiU5PDr1k8Y4Hb6OQ5mLxj4ba6IJsyeeKZdGYUnDwFocnMZzB+uPcMelhguMM1a2Fyun2fA/Jq+X03/rm2vPmYrGIFuhI2+H4jc1ISuNy89ElwNnnBIhOJU14mYiHefPNNPpurpMRT5olYPryJRH/+85/TsC8xFNO0BikfqUdDShncAuGCs+mCY6WizEZkT/eiWVN8YYknvqk1eWPIfFCzD1shWjQb+fFYfE3xYCsaMzdBlxYHiRtIlIighx1Hsiuwq+UUDm/agcRoAVLHRjGYmMZjnRrTNkEsdmF7/Ql0Z+Yip7sbXdl5kEhccDucKG5uxbnyCoglbmRlOZGdY8fUGCBsF0DgduNjn/hv3pPsV4ZwNCkVcfFKqONjEVeQjugZJxQKN4tb51g0KTxH0cYT5zAVHQ15/zjObquAUyJGwbFGdFYVQeQS4MwOj+VJpDUhrr4fz2duh+WIHZlNnXjvQv20ysFWVBom0ZuVhQLRGEZrolBTdxqndm/zxDvZ4Avkzuzo4ddU0VCP/vg0uCUumGPkXDCx4HiZ2Y6rT72HP1Z8CHe+9wr+XHE97FI51HIxagtrfAKJWaskDk8Qt3/MUtrkMOR2G/rjMnzfr1cseT4Hqh5/sRTKxcZm4fkzEp0a8JmCv4lLxeFwoKenh2bMrRCFhYVcsL7xxhsr1YWIhUTTGgsKZw8yr2AKd3/vw48lOWxN2hS0vedBy8ST94iV/WdxLqMUdslscU2nSOIr0zIcq/E8yC8EKLO8TJk2I6SmaRzaUMOXj2udiHd6LE78PCx9NYAPSnZAaHVjUsFmmwkhttigsBhQW1zFZ8e52DmEbghFAiRLjLDtUGOr0wKdTohJrQhynQNRBiMKO7twLLscX3r/DzibWogDBZshjwIUChdkMjckUjf0hhQe15Q4PI7qt97Bi/s/jCZJORx1QPwIYLPo0KLKRPqIAUJ3GrqmWS03BbqYYBK4UWwbxG77eUxWpGOmOhE5RzuR0tCIE1Xb4Da6YBdKsKGzHedzCvm1eK+pPqcEJqGCCyl2TV5RpRMo8JtNN8FmdKAhrRAKoRsqZqlz+c1idLqhNkxja1ctDpTt9wmjaIseIqeLCyb/4O6QlsR5xNJiElleDEoxQFzMyuRyuXDXXXfRQK0Q5eXlOH36NP8eKBB/6SD33CrkYg+kYME0nwsm+FgBU9WDAsOZePK6hc6llnMrRHBJDpZ+gC2bkccElFwR2V2o6GvBuCaHu+uY4cshEKFZnIAZvR02q4CLCRYMzRp7PxSV4nlvEYJNlWMuO29zGl1wWdxI7+znLi82E40l287f4ET8zcm4KbYDwuJYJCU78PT+j8MslcHpFsFoEGFiXILBASl6umR401yEvhYxXLXTeNu9CdbjU3CemULnUDTajAmYMslgtwmROzmEZLsO6lg7MjLtKC6x4taMbsTsUuPER69HYXcn3+5I9U7UFZYDMw7kt7R7+msXIa2rnwsjVgJFpZ1BZo/ns7fZbQIYDS4ktLQjZWwQW/sb0Z5bCnF0LHInBpA13s8teLw5XNBGJeDNkusC3HEZk4OYkarmuOO8393FyqTM95uaL6icrEzE5aYaYNx77700kCvEnXfeyQXT888/T9/BEkKiaQUoGm/GqmaeQGSWfqBwpB1qw+ScdUcKt/NXiVCABIUEConnp5U4OgjX4BgShgbgdrsRr58K2M8ik2M8wTOF3kvyxDiuOfwuWjYVh+xa35YiZKkM+Pj0cVRttaK6yIAt28woqzRjX2wXcvOtyMyyITXdDmmOHF3VG2EtTICtOBHmSg1ys834/NBrqM7Q4ou2g5Dcno7qDdO4y3oC2TkOxKtdcMvE/GRuoRAn/co/sM9CtwtCNu2NBZfnFqAnI8e3fmNvG1qyC6GZGMGGwU5srz+K6Rk79EY7mpPzMJSQhp78MkSJRTzguz8hg7eLMRadDJNfIH4w1QPLN8mAIC5GY2Mj0tLSoFLN/5slrizeAPzf/va3NNRLCImmFaA7Pu+y9g8VFL6Qi+XigeGB1iivxYlZN4KDkDuSN0CnjA+0Ql1Yx7KHs8YSMsaJRbhutAkOiRRimw15rc2YYC674TGfBWb/+2/5LFBVp07DYQK2nD6FvsQMHNh5PSqO13JrjsdCxbYTwmL2vG/LLMCJyq2wOiQ4U7EFW8+cgSpKgNh4YJu5GxmZLuTkOLEjZgjViZOI2RaH3DwnbtHWIi3VhXc/dRsShGacvGY3VJNmnCnbgpMVW/nxWRuK08BqF8OtdyKlewg2s8BnCZsWqCA22pHf1gGVdtpjTbIIUF17Bu8XbEfM5DRUummcjsrBoFkKl4XNVOvGBosWCXIWOC/2jZXogoWJjaHMZuWxWP7WJG/At04RN8f15vn+PNuf05Qt+BuY7/v2InI5UDraMO9vK/gYBLEQrJTKddddR4O0grBs4MnJyTh27Bh9D0vImhdNjz32GEpLS1FWVsZ9uKzm0WrHKp7N0jwfS5E/Z07cyoXPGVMD0EwPh3DpeWKUqgbOQuywQ+R0zjtTi71PnRr2PeRLBloC3Eb5I90YVWdCFhOD+0+/gA9yK2G3u/BBdC4mJ52wWgVoTS2YdWO5xbC5JTi8aafPjfdB8XY++8zfdceKAnvfs22YwGHuvHMFpfw9E1xT0hifyBqI1iC5YxCJ5wf5Z5ZsyeKQ8PfnMwv4q9nl+Wy7cNzs5k7+Kpi2Ib2jD0eLayAwOHDDgdehmDAAegfe37QDQpMdMePTiB2ZhN0pxgcbt8PuEKIHcbCN6WEyO3EiuxxCiQTazAIY4zVcUDKx5D+O3vHNHe9FjNkQeoacfyFe3/JZlxxLIhq8Pvh3tFAcE0tP0ZjiEV7+QopPiySIS+CLX/wijdsKc+2110Kn06G7u3uluxIxrHnRxKazHjlyBA0NDXj11VfxwAMPoLOzE+uVharYb9B28NfB2HSMRmt823v38Qqn+rRy/hAdikmfY/Fgr0qLiVtHFBYbJHYnFwGjqhQej8Ob3YXBmDSeYNMplOFXN9yHjbYZZJu0/DwWqxPjEzacjMpBeWMdtzYdKayZFVDeVAV+cVDeltw7zIUUa6wortBgwy1/eQma9l6fNWgoOgWajgH+3uyQQmCwQz0whsyWTjRkb0L5BQvWtFDFXyU6i0+IsXMqpo2IGp9B8bkmRE/N8D4lD43ixd23QquIR3ZfH7J6emAUKNCqKcBwdAqPW9LrXRifsMNgdOBodgWP7YqViaGWisBC6n1j6HTzmYzVPfUB49qZlA+TJGpu6ge/72hWLM0KpuD1lxr4HSzCU/XDiLXO5ryiFANEuEilUmzZsoUGbIX5t3/7N/76k5/8ZKW7EjEII0FJx8bG8veZmZnQaDTo7+/Heqd6qHbOsrGopEs6VulQI+R2M38vdtqRq+3l7/vVGb6g9Gml5zvwT+LoXecQSdCryYVZk4Z4pQSSC7kBWFLHd2PyMaWzw2pzoab5JLduLQRzYZWdb+Dvs4b7cftrL+J8/kYYouOwobsDCdoJlDU3YP+7b3FrGUMXr8apzTXozciBXhWNc5sCLSraeDXShwdx0zuvQzM2gvGEJEzFxuN4RQ1vDDfPpuShJWcjutLz0Jq9EU4nm6XnwMSkFUaT3TP7TwCo5GIe2yUXC7FhrAcpulEI3LMpAcwyJc5mlWOpYaVrykY843O5DMRmYloetyTHItZPqgHGxo0bV7orBICamhooFAq8/PLLNB5LRESlHDh48CCmpqawdasnE3UoWFp/1rywStBrPQVBcI4lZkXojMvHTa2v4vWNN0N44Vk9I48NOJ7/vt58T2x9nrYLHUn5cAmFfBtWhNYmlPN1zALVmrLRl36AiSiZ2YJpVSyvX8ePFdRHXteOncfuAss/LpWJYZW6YbI6sL2zEe/mb4FCp0O/RQ6tXgilUgjxhV8mSz+QO9aD/MFuvL1lD1o0hZ70BXbgbFYZzuWU+s6jcJjhFggwlRGDMxsqsb32BI5X1vD3LJ+SDQoIrU4UdHajsdCzH8ufNKpIghImRCVmY0yegE3Drdg8eBrHymo8aQNYgLvByi1dDBbQbrG4eSkWJvbY+LilCi6WlDIxlEIBpA4HsscG0JOUDbNIDrnFCrHCiSztII9PckIIC9snKE4pVD05r3A9n1TIM7gHWJCC0gswN11L4qawXHLBv6OFoDgmIhyYtZ9x44030oCtEpjF74MPPoDFYuG5m4gItzTt2LEDiYmJIZu/RYm55+655x4899xziIqKmvd43/ve97hlytuYdWq1E05sU/BDTy+LwRsFNwfMhJsvY7h3X5XZgAzdACYV8QExTqeytvBt4g26OXFOUrsdsWb9nDgc5rLzd9exgGe2rLj/PKJNRijcQIJUjKZNWyGXCKFTxOB0ahF3bc0MzaDg1Gnu7rLZBGhX5wW47/xTF/CM2xdceXpEweBWYkag8tV+85/6z/d1SXA2tzzgGKzpRNGozavADKIwokiCxOgRSd796jJLseX0MUxNOTEyaseUzoE47RhKRjpQPdqOWJkIqWIgWiDgcUssu7ZZpODXzerFDcWn8z83lg9LYbXwJJX+KQW8geGhsnyztpBgCo5h8hZJJojl5qWXXuKvH/nIR2jwVwnsucj+0fvVr3610l2JCFa9aGKR/xMTEyGbV/A0NzfjlltuwTPPPIOrrrpqweM9+OCDmJ6e9rX15spjoqdyyDM9PXjWnEUsx5QsHjOyuDklV1iLN05BYncExECxoPbhmNSABz0TSWr95JySLGz5UEwabJAiTTuCO47/FSqHHfFiEZKUEkRLRRALBbCKpXgvo5y7vcbGbZjQ2jFkU8BkAqyWwHgnfxHlL3L+7s2XMCmOCVgn1llQ0HIeygn9XAFmFyKzrw/Jo6MYiUrCwZKrwcrIxXYP8ll/rB8vp2+G2eLksdFMi87EJ0OvyUBn4WaoIMCnDz/LhY/MaoHAJcBkVILnur0z5VjsV7QGk1FqGKSeosisQHKomYiBQsgVIJjCiWFaTBwTWZmIpaKlpYW/kkVj9fAP//APPLnl7373u5XuSkQgjoQ/0ptvvhm//OUvsX///otuL5PJeLtUYizT3M213MzOklq8q4653eLMU9Ap4nmc0dm0qpDHZQ43ljXcfz//9f1xmXAJPC67UC440YVtWR800+PQRcVfWOmGgB2fCyI5mHdtXJWEl6tuwdauMzhRsIW776QCATQuK3JGu3A0swRWpwsOlxsqvQ7RVhNGohOQYpjEiFqD3b11MKji0JFdCJFIwEWMt9CtUOTGs7vv9JzbE2KBrW21OJdTgnGlGmVtDThUuocLyG3tp3F041Yem3ROxerGuSAwWGF3WGEXipGgN8Em98RZiV1OiKUSKIQCyIQCiNxAyWAPGjI8tbX+Z9cn+bhV9TSiLqtyjqDZ3nkSJ3O2ory/EV1JuTBJlTiZvZWvi7IaYZRFzcnyHZy00it8qgfOoC6tOiyx5L9f8O9lIdhxWGFfVqeOIC7G66+/DrvdE0dIrA7x6iUjIwP19fWorQ2MdWUem6ysrGXu3dpmzYum+++/n1uMvv71r/PG+MEPfoAbbrhhyc/FAnnjLFMrIpoulziLjoumy2FL32mczNkW1rZtKQVhbSfiosDJY6UYJpkSjbllUAkFUEEEJ3M3iVUwScU+T2OUYQZCsxWnWFLJaRtfxtYx4cWaSAiwGHQmovguAuD95CJuURqXJqE5JwkVjWfRqU7HK0nlcGlnY9yu7TiB9oQsOEQijKgSYIyKxhZtFzozN+Lq9rM4XrjNJ0pK+ppwLqt0jvg4k1MVUriw5KBMvDSml6Cm+yTyxrvxpy0f4+vSdYM8jmw+42/xSLNfzUCgNmPzsmTtzp/sQGvipnkTnhKEl8cff5wGY4VhIkipVOLuu+8OuX7z5s0Bn9m2TGCRcAofgZs5O9cxLBCcxTZ94uanIJWw2mOrn4WsTYxQxXf5fiIBNo6fx0BsBozSKJ6Z/HziRj7TLfi43mP4FwP2X8+CxL2obAY4xCJuKfFuJ3Y7UDjahqa0Ev6ZHSfk8YUCKC0G7G9+By9uuRXlAw04m10esJ5ZhNJ0Q+hJzAQzmNjhhsPphtPhQMK0FkPRiTyuyikUwSDzWMoWCzubiPVbxJoQEgCbxrphUMRgPCaRb+MvhEr7mjEelYiJmETEmGaQpR1Aa2oRdnScwLENNSGDub3H8IodFkTPytUEB3P7F971HkNhM8EqUizoklObtNDJ1UsS+B187NWMzW7Gn167j//zxBL6LQcDAwM8PIC599l/8QQQzYpjy+U8dOLMmTNUrHeF6Ovr49+BP+xvY9++fXw23RNPPMGXMbHExNV6/a4GLvFveM1bmoj5H4ihXHXnk2anArclzAomvj7EzLrgh653PY+zuSCcmKhhWwnFbhSOtaE1dSMcQjHaEzcEuPK8x+ICCsDtZ/6Kv2y+DVFWM7oTcnjsT1dCnmc7b8wOc7253bALZTzAmokZKeuDSAARRMgQ2OFQShDnAFjuSqFMxGOO2BBc03Yc7xbU8L7xY12wSDH7EztEknEK8eYZng6BuRa97j3vWPQm5fL+X918lJeJ8R+LHnU2rBLPjEKTVIXzF2YUHs/b5kte6X8s/+/G5/K8IJjYspLhJn7tVrHHdRzskruYYGLEmmcCRNPl1JRbK4KJWB2cPXsWBoOBh0i8+OKLK92ddQ2zGoWyHDGBcO7cuXUpkNZVIDgxl3CTDF6s1ArPIh10rFAz6wIK/QYELbuQOj3McxgZpZ4aU6PRKb7tnEJJwGw6/0BnFhR+NHcH/6xTqNGUXuIJRpcouHjyDx5nQdVaZYJnBt6FWXgxBj2rXIyB+AwupoxR8XAoYhANAWIEAsQJBagv2oF4kRBqkRBXDbchUeBGnFCIWKGAz3KzRsVhXJ2Oa1qOQ+yaDdZm7fr6QyjvbuJ9PZZfg90tx3x9Sp0cRaZ2ECqTIWDGm7fobvA4ea/fNwbehKF+8UstKZsCBFO6bmDO9xUqy7f/5974nAWL8IYDJbAkLoVHH33UF3RMrE4++tGPwmw24+23317prqxpSDStYS5HOC2UOTzUZ+9xpDZbwOw5oyQKVpGUCyi2zYwshr+K7Q4kzmjnpCLwF1BTynjkj3YjaXrCt41XhPiLDF/qAocLu9qOc2FSONTJX0v6W2fFlF/b3XwsQPQNxKfx6f5s3aa+8/xVyKqEuEQ4mbuVv/eKOdbeKdqDlrQi33lPXLAgsTahSuTZ0j9U/6ZPLIUSSv6zB9l4pE6NBMyMC87u7S8qWUar+VIKLPi9LSCWaJYccSWDwOPj45GdnU2DvErxxvz+8Ic/XOmurGlINBFhI7dbkDcZWMPIJI2CXTx3dpXQzZI+mgKWiZwObO6bnb2xpbcWPQlZ0KoSUD7QCKXV5NtuPli8EKMh05Occjg2BTvbT8zZ7miBZzsvekU0os16XoRYqwqM+wnoo8uJwpF2XAy7WIKXqm6Zd73CZkbZYGPAsljzNKSO2aDzhfCWuSGI1Q5z+bCkwiztC7F6YcV709PTcfjw4ZXuypqGRNM6sTZdzFXnPZZmZhSZU/1zjh1vmoRVJENbUuGcff3ddd7mFIh5jTtvrTXW3AIR6jI8M8t8VhanZ/9ok8GTddzpxuaec74kmv5JH+e4+VxuGGQx3FLErEGaqTHUdJxCwUhngLvM2+wCKQqHO/gU+vTJIY/Vyj8Jp8PF0y6MqZLmnHfX+eMBLkPPNQn4Mfi46UaRO9bt256lVmhKLZm1HAlFmIyKh/hCmQnvOAWP85yivE4nFHbTFbcyEcSl8tBDD/HX73znOzSIq5zbb78dRqOR12slLg0STRFAqDiUipGzAbXOwnXVjamSMRibMSd7eLx5GlE2w9wYpzkFf2cTMuZoe3gfZgWAX3O5cTpri09AsXxFXlfW2YwKiBzwEyd+8UJ+Qspf1LCmjUpAbVY1etQ5yJgYxN+dfiVgW7dbhPcLroIDYphFSp4zyX9/73ZGlngyKE6Jbevfh+B+a5WJ6FNnB4mqwESVbBuepyqEO26+hJVSh40L2fnizkJ9h8HfeSTNlCNWH2+88Qa3YuTns5QZxGrmG9/4hq8yBnFpkGiKIPwffPWaSp7I0lto18t8D9BQD13/4/XE5yBTN8gKr/mOw1qifoILI/8Hv9jhRO5ENxwCEXdTeS0q23pOzRFQNV0nAwQEi/0JFjKB613Y0X5ijpgKFjSjMRr8rZzV3QsOXvcEqBtlKsQZdKjoOcf329U2e0zWNg20+Y5X03WKu+wS9No5sUreVtlXP0f4eNuWvjPInuiBZnokpOAJ3t479qzZRbLZAO8Q4vhyrUsU+E1cbsUGvV7PLRjE6ictLY276CgY/NIh0RTJuN3Imu5bssO1JRbOSXIod5h5SgB/XAIBphVxPLu4zOFJPumtYRfMqezA4sqb+zwlXuZDZrfwoOxgKvvrw44X8uIWzmZAP5ET2LcJv7inM1lV6EjewMufzAcrYsxilhhbe09ha99p37rajCr0x2dyt9+VpGooMNsvQVxpHn74Yf767//+7zTYawQ2w5HNonv33XdXuitrEhJNkYxAgLbEjZcc47TQ9HbvMubKCy6qInQBOkUcpuVxvHBwxUA9JA5bQBxPgMXGz8JTm1E9xzIUYLXpPgOR3TnHAnUuvRwOoXSO5Yk1mcWGit7GOcvNoij0JOTy/bd3nQpw/bHs6d5zsusLZfHyWaWGzkNhNSFJPw6lxQSzWIEz/Dr8Zsa5WXD87DizpjIbUTzaDLkt0BoodLqQMT0w73cw3/flLatCLjliuXjnnXe45YISfK4dmMBlOel++9vfrnRX1iQkmiKMxcSmLBTjFCpIPFQg8oI5nS40zcwI5DbrnIBxuc3CA53992UuvIDYp6Cp/OPRyR4B4pee4GKNFbvtTPAkqpyvncreEiCMarpPzRt3FJw2oC2pgAekd6tzea4llnOJ7ZM5NTAb4xUc/+VwImuqD60JGy/EOfmJUZZDSjQ3yaWXOKMOG8Y7wv5OQ0ExTMTl8vLLL8NkMuGuu+6iwVxDqFQqbNq0CU1NTSvdlTUJiaYIZDFxKgtZJeazPG0ZOLPg+YKPeTxrB6xCOX/QMxead/sbW96EymrkMT9eIcUsNMGChudUuiA4utWejOH+MU2h4paCG4sNuuh2F46ZPjmITnX+vCJpNu5odrag/zh4x8LtFs4RoGqDFrkTXdw1yLKzs9dQYpQFjYeKX2KN1T7sUs8G3RaPNUHmsFAME7Hss+aYxYJmza3Nmq0uv3JNRPiQaIpgLtfqxI8RwupUmxboQruYeDJJorj1ZDAmHQ6BFEKHC7naLvyt5EM8z9PZtMo5M++CBclCVqI5lqkQLXFmAhtGO+ddz4SZ93iTCjUM0qh5klD6t0DRFTxmIxdyLfkfZ0qpRo86N8j9OLfW3MW+A/8xbkkshk3osUwtBFmXiKWCWZhYzbKKigpuuSDWFp/73OcgEolWuhtrEhJNhI+8yc4rOhrMDbWZWakEAi4eghG5Qie1LBpt5RYq1ioGz13SuSejEtCVmBfWtjaxDE7h8pVlrBipX7ZzEcRSBYCzWu8PPvggDegaRCgUcsHLCC7uSywMiaYIZzHWhUm/Yq+LsXYEnyPR4CmL4o/X0sKsVIwZaWxQ3JILxaMtId1m3fE5cAglvDWkli7KChVu81xHKGtSaPdbKMuSt1UPnOHHrBqom2PBC+U6PacJtLQFjzu/xqCcW97rDheyMhGXQ19fH2pra33tqaeegkwmw4YNGwKWt7S00ECvEb7whS/w18cee2ylu7KmWL5/p4kVw/vAdAkD0wUEw2a7+T+I3SG29z7EXSLBvA/laKsek8qEgGX+5w5+2PPzuAVoSi4NeXxv4d9g2DG9gmapCEdcLOQq85/Fdk5TNu8xFzpPqOP/XfOL+EvJHQHnCQcSS8RSCCYWOMxccsFs3rx5zjKlUonExEQa+FWO19J06NChle7KmoIsTeuIxSYyXOjhPN8sO0Z/rCcztpdo6wwKx9pCWmm851lo9l1wC76eUG1r7+lLWjffNYY6f6h+e9nSz/I0CbnVLXuqZ06fFzOeDCaYwk0l4H8ugrhcmPuGCaY//OEPPI5p165dfPlLL73EPwc3Zm3KysqigV8jWCwW/PGPf1zpbqwZyNK0DgnX8sTwPqRDWZ3CtT4ZJdHoSIwJuc6/Hyze6UzGZt85cye7+TT+4HMvlAXbS11q1bzbMUtQOMfw52JiJVignE2t5K/M4qaTqxdtWVrMuS/WF4JYCpi1qbS0FMePH0deXh5uu+02GtgIiW/67ne/i09+8pMr3ZU1AVmaiEuGxdksNgv3QjDB5I9OHhvwuXrAk/Ga5TcKJm16KKhzFxeEV5LykYaQy1mST4JYq7D0Ak6nE//5n/+50l0hlojKykq0trZiYGA2oS4xPySa1jGLddUFWzyibEYkmcbDDhaf1zU1j5vMO8POe+661EpPCgOxIsAtprCZkK8NnewxmCTDGFL0I/Ne30KB4gv1OZhzmoqQ6/KnOvkswYu54xY691K5XwlisTz55JM8xcDdd99NgxchPPDAA/z1S1/60kp3ZU1A7rl1zmJcdcHuOoMsmrc5xwwSAgsFjc937vke/i4BoI0KDDK1iBX4IGd3WAKDzRAUIHwxIlzEdunTA7CJpBhXJc+7XZu6CLjIIckdR6xGWJFXnU7nm3VFRAYlJSU8Bo3FqNlsNkil0pXu0qqGRBPhe+iHK5wYF5tlF07M02JE1HzbXgz/Y3n2FXLNcrkWmVD7s+SdodyC4cRPLVYoLdQPgrgSPPHEEzz+5Xvf+x4NcATBAvc/85nPcNfrZz/7WZ/lyR82G5KC+z2QaCKIpSKEYKoeqsXZlCoaY2LN093djX379lEG8AiBCSGWHsLf1fr73/+et2DYdjQr0gOJJsLHfHmVlmKGXbDFZT6rU3A/gllMvy52rCu1v/91XkwwXYqFiaxLxErxy1/+kgY/QmCWIyaEvBnBf/GLX+Dpp5/GN7/5TdxxhycnHINtw4QV2y6LUkms/UDwn//85ygrK+MzANh0WMpuujRcyoN5McHL8+U+CqdfoRorInzRvEthFPa9WIB34PW6UDF8dtHXcilB3v7XQBDLyeDgIH9l99f8/NlC0cTah4mg6upq3phoYvFMzzzzjG8ZayzVBBFBookp4IaGBpw9exZHjx7FD3/4Q9TV1a10tyKCcMXDUgiDiyWSvBje8ixLeQ0X66PALUBDsier7lKNR9Vw7RW9BoJYLP/1X//FX7/1rW/R4EUwYrEYn/rUpzAyMkLJLiNZNMXGzubyMRqNsNvtK9qfSOVyHtgXm76/4HnDyAy+lCzV+S71mutSA8UfCSViJWEPUJblm8HqzBGRzeOPPw6JRIIvf/nLK92VVcuaF02M559/nk+bzMnJwVe/+lVUVc0fR2K1WjEzMxPQiMincujKWR9DFdOdD7ndjPzJ8HJKEcRKw7JEu91k4VwvyOVy3HfffRgbG+PxTcQaFE07duzgUf6hWn9/P9/mzjvvRFNTE86fP8/rI7HX+WDTZZl1ytsyMzOX8WrWNkvlJmKWF6HTeclxPeFYhYJbQ3J5WNtdCjm6Hl5fLxzLkkWiQE9czsLXRe44YhXA7qksN1NRUdFKd4VYRn70ox9BJpPh61//Oo37WhRNx44d41H7oVqw4GGWppqaGvztb3+b93gPPvggpqenfc0rvIjFcTkPdonTho0T55fEfRcubsHS/tT9+9sTmwuDZG6Sz/lwCudOWiWhRKw27rrrLv76yCOPrHRXiGWEBYN/8YtfxOTkJB599FEa+7Ummi5Gc3Oz7/34+Dj/z6i8vHze7ZmCjomJCWjE5bFY8WQXSdGaNP+MjMWUM7nSXOl+UIA3sRp56623+ASbm266CdnZ2SvdHWKZ+cEPfoDo6Gge/G+xWGj8I0k0/fSnP0VxcTFPOXDdddfxbKb79+9f6W4RRNikz1ChTGJ18Y//+I8QiUQ83IFYf7DM7ywFAYsBZpnCiQhKbvnUU0+tdBeIy0yOuRjCsfKwgrjF481oSJnf4riSBFvlrGLZivWFWL/09fX5EhsG574bHh7m7rmenh6e3JBYn5MAHnroIRw8eHClu7KqWPOiiVidLKae3FLDYoZWm2BayH05oUxa1r4QBBNMLGmhyWSadzCeffZZ3rxlNNjkG2J98cILL/CkpsQsJJqIiBdRKwHlVyJWM8zCxAQTc7/5Z3xm1oXW1lY+3dw/dQsVbF2fsFQ+N954Iw4cOIBf//rXPEP4emfNxzQRa5PFlCtZbTD3XzD+15KsH6M4JWJNwASTt1zGqVOnuGBiwd+s6r1/KQ2qObZ+YS46xpNPPsktlOsdEk0EsUh29h2B0macd/1EVBIGYzJoXIk1A3sYfuELX+Azpv7yl7+sdHeIVRYUznC5XHyy1XqHRBOxKriUgrnLjbdPrN6cRaxctf0kiMXAHoa7d++Gw+HAa6+9xrNCE0Qwt9xyC9rb23kOp/UMxTQRqxqvIMmY6YdZrIBWmXjFYqPCFT8ugZCXQulUL20tLlZiJXu6F+cTKQMzsXwwVxyzNLGH4VVXXUVDT4TkYx/7GGpra/Gzn/0Mubm52LNnT8jtIj3+jUQTsSYYiAld7mYlrDwGWTRvSw0rsUKCiVhO/u///g+//e1veamUxx57jAafCCmC2OzJT33qU75lX/nKV+YdKbYtS1MRqcKJRBNBEMQ65b//+795DU4WBE4QoWDih4kgb06v48eP4/Of/zz/3bCSZUwkeWHb3X333XxbEk0EQRBERNDd3e0L8mWCSaVSrXSXiFUME0BeEVRdXQ2z2YyvfvWrXCB1dHRALF4/9hcKBCeICEXgdvE4KYLwhwXz/v3f/z1//5Of/AQFBQU0QMSi+MpXvoIvfelL6O3txZYtW/hkgvUCiSaCWAYqR+qWfZzlDgsSzNplPy+xeuns7ERFRQXsdjv/vGvXrpXuErFG+fGPf8xL7dTX1/Os4TabDesBEk0EsQyc1cxmV14uzBIl5YsifLz99tu8uDmrWv/973+fRoa4bP73f/8X99xzD49lYhbLhcryRArrxxFJEASxTmGFzf/lX/6Fx5688cYbSEhIWOkuERHCM888w39PP/zhD3HDDTcg0iHRRBAEEUGwnEvemU4sYeWXv/xlHDlyBFFRUfj973/PH3DMMkAQS8Wjjz7KLU1MmHtTWURqnToSTQRBEBEkmFg9uVBuEqPRiNtvv933mU0VZzl4CGIpuPfeexETE8PjnH7wgx/g4MGDvNBvpP3GSDQRBEFECMzCxAQTC8xtbGzkKQX+9V//lcedrLfMzcTyU1hYyF9ZZvkPPvgAaWlp+NrXvsaL/npr2K11SDQRBEFEAEwsffvb3+bvmWDavHkzXn75Zf7gIojl5J//+Z952ZX/+I//wCOPPMKzzbOEmHfeeWeAeFqLwp1EE0EQxBqGxSexuKW33noLTqfTNx2c5dEhiJUouXL33XcHLDcYDNxlx9paL7lCookgCGKNMTIygu9973t4/vnnMTQ0xJfl5eXxQFzmDrnmmmtWuovEOiQrqOSKFzYh4emnn8azzz7LBZRAIEBGRgb6+/t5I9FEEARBLBk6nY7nxGEiiVWan56e5svZjLhbb72VT/dms5fYOoJYLSVX/Nm2bRt++ctfcpfxww8/jNOnT/vin5gLee/evfjIRz6CW265BXK5HKsVsjQRBEGscGoAL6Ojozh79ixaW1t59m5WI258fNyXwdvrArn22mvx8Y9/nMctMfR6PRdMlEqAWO3ceuutvJ08eRI1NTUoKSnhv/M//vGPvHn/GUhNTeXia+PGjbj66qtx4403Ii4ubqW7T6KJIAjicuq4jY2N8QKmLNM2m9bPXr2NLWeCZmpqijdmIWKfmVhi4sjtdi/6nGzfQ4cO8RYKSiVArAU0Gg3/rTY1Nc1Zx/6OWCFg1lgm+1/84he+dRKJBAqFgheZZvuzxkQW+xwbG8uPyxpbxrZjjb1n20VHR/NXtoz9PV4K697S5L1p2amwKUGsSbx/u5ciQC4Vb4HSffv2XdL+bAYR6y+7mbMbOWssxw377zo/P5+XO0lPT7+kadpqtZrvNzAwcEl9I4jlQCgUckE0OTk57zasnh1z47GyPywuisGsrqzNzMwsST8WW2x43YsmrdZT0PSFtx5Yki+AIIiV+1tm/2kuByx4dSlu1Ow/atZYYDdBEMvPYgPR171oYv+VeeMLluuGu5IwdZ6Zmcl/KOw/2/XAervm9Xa9zOXFbnrev+XlgGXd9uZDWg/3DQZzKzILWHNzM7eMRTp0vZF/3ygtLfX9LYfLuhdNXvM3u/GthweMF3at6+l61+M1r7frXc6Mw6zwLYOJ0/Uyxl53CHMbrodrpuuNbGIu/Ia9f8vhEhl5zQmCIAiCIK4wJJoIgiAIgiDCYN2LJplMhu985zv8dT2w3q53PV4zXS+NMf2u6O+I7htX5j4pcC/nPF2CIAiCIIg1yrq3NBEEQRAEQYQDiSaCIAiCIIgwINEUBCuJkJKSwgsHRjKPPfYYz1FRVlaG8vJy/OEPf0CklrnYuXMnCgsLsXXr1pAp+yMFVraD/W7ZtVZUVGD//v28DMF64De/+Q2vnP7SSy+tyPnpvhFZ0H2D7hvzQaIpiPvuu49XWY50WJHEI0eOoKGhAa+++ioeeOABXiA0Er/Pe++9F21tbfj617+Of/qnf0Ikw671/PnzqK+vx2233YbPfvaziHR6enrwq1/9Ctu3b1+xPtB9I7Kg+wbdN+aDRJMfv/71r5Gbm4vdu3cj0mFV0r2ZjFmCPlbg8HJLQ6w22H//rG7R3XffzT/fcccd/Boj1foil8tx8803c4sLg4kIJigiGVaOhAnDxx9/fMVmR9J9g+4baxm6b8gWNV4kmi7Q3d2NJ598Eg8//DDWGwcPHuQVn5n7KpJgAokVQPVmfGVigpXbYCVz1gM//elPubUpkvnxj3+MXbt2YfPmzStyfrpv0H0j0qD7xsKsmzIqO3bs4H7qUNTV1eHTn/40fvazn0GhUGA9XC+zLjGYe+6ee+7Bc889xyuuE5HBI488wi1qhw4dQqTC6r698MILOHz48BU7B903ZqH7RuRD940wYHma1js6nc6tVqvd2dnZvCUkJLgVCoV737597kimqanJnZWV5X7zzTfdkcjo6Kg7Ojrabbfb+WeXy+VOSUlxt7e3uyOZRx991L1582b31NSUO5J54okn3BqNxvd3K5PJ3ElJSXz5ckD3DbpvRBJ033girHEi0RSC3/zmN+7bbrvNHck0NzfzB82BAwfckcw111zDv0/Gn//8Zy4mIpkf/ehH7urqavfk5KR7vcG+6xdffHHFzk/3jciB7hvrh2sWed+gmKZ1yv3334/p6Wk+o6yyspK3N954A5HGU089xRubhv/973+fT02PVAYGBvCVr3wFOp0Oe/fu5d9pTU3NSneLiCDovhF50H1jcVAZFYIgCIIgiDAgSxNBEARBEEQYkGgiCIIgCIIIAxJNBEEQBEEQYUCiiSAIgiAIIgxINBEEQRAEQYQBiSaCIAiCIIgwINFEEARBEAQRBiSaCIIgCIIgwoBEE0EQBEEQRBiQaCIIgiAIABkZGXjiiScCxuLo0aNQKpXo7e2lMSJINBGRybPPPguFQoHh4WHfsnvuuQfl5eW85h5BEEQwrFbjqVOnfJ9ZUfsHHngAX/rSl5CdnU0DRpBoIiKTT3ziE7xI7yOPPMI/f+c738HBgwfx+uuvIzY2dqW7RxDEKmT79u0Boun3v/89+vv78eCDD65ov4jVg3ilO0AQVwKBQICHH34Yd955JzQaDR5//HG8//77SE9PpwEnCGJe0fSNb3wDBoOB30O++c1v4rvf/S5UKhWNGMERuJn9kSAilOrqajQ1NeHNN9/ENddcs9LdIQhiFWMymbgl+tChQ9wy/corr+DMmTMQCin8l/BAliYiYjlw4ABaW1vhdDqRkpKy0t0hCGKVwwK+y8rK8MILL+BXv/oVXnvtNRJMRAAkn4mIpLa2Fh/72Mfw61//Gtdeey2+9a1vrXSXCIJYIy465s6/4YYbsGfPnpXuDrHKIEsTEXH09PTgQx/6EI9HuOuuu5CXl4cdO3ZwIcXcdQRBEPNRUVEBiUSCRx99lAaJmAPFNBERxeTkJHbu3Mn/Q3zyySd9y5mIYm465rIjCIKYj7179/J/rn70ox/RIBFzINFEEARBrGtcLhfGx8e5O58lt2xubkZMTMxKd4tYhZB7jiAIgljXHD58GPv27UNRUREPAifBRMwHWZoIgiAIgiDCgGbPEQRBEARBhAGJJoIgCIIgiDAg0UQQBEEQBBEGJJoIgiAIgiDCgEQTQRAEQRBEGJBoIgiCIAiCCAMSTQRBEARBEGFAookgCIIgCCIMSDQRBEEQBEGEAYkmgiAIgiCIMCDRRBAEQRAEgYvz/wNU5VHhsbYDAwAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "MoG=mn.MixtureOfGaussians(ngauss=1,nvars=2)\n", "\n", "properties = dict(\n", " x=dict(label=r\"$x$\",range=None),\n", " y=dict(label=r\"$y$\",range=None),\n", ")\n", "G = mn.MultiPlot(properties,figsize=3,marginals=True)\n", "\n", "sargs = dict(s=0.2,edgecolor='None',color='r')\n", "scat = G.sample_scatter(sample,**sargs)\n", "\n", "pargs = dict(cmap='Spectral_r')\n", "pdf = G.mog_pdf(MoG,**pargs)\n", "\n", "cargs = dict(levels=10,decomp=True,legend=False)\n", "cont = G.mog_contour(MoG, **cargs)\n", "\n", "plt.savefig(f'gallery/{figprefix}_2gauss_sample_density.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Other methods that you can use for objects of the class **MultiPlot** are:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:17:34.244326Z", "iopub.status.busy": "2026-02-15T18:17:34.244210Z", "iopub.status.idle": "2026-02-15T18:17:34.270140Z", "shell.execute_reply": "2026-02-15T18:17:34.269539Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Available methods for this object/class\n", "=======================================\n", " copy()\n", " Return a copy of the object.\n", "\n", " mog_contour()\n", " Plot the contours of a MoG on all panels of the MultiPlot. Ex. G.mog_contour(mog, levels=5, cmap='Reds', margs=dict(color='blue'))\n", "\n", " mog_pdf()\n", " Plot the PDF of a MoG on all panels of the MultiPlot. Ex. G.mog_pdf(mog, color='k', lw=2, margs=dict(color='blue'))\n", "\n", " reset_ranges()\n", " Reset ranges to match the data limits.\n", "\n", " sample_hist()\n", " Create a 2d-histograms of data on all panels of the MultiPlot. Ex. G.sample_hist(data, bins=100, cmap='viridis', margs=dict(color='blue'))\n", "\n", " sample_scatter()\n", " Scatter plot on all panels of the MultiPlot. Ex. G.sample_scatter(data, s=0.2, color='r', margs=dict(color='b'))\n", "\n", " set_labels()\n", " Set labels parameters. Ex. set_labels(fontsize=12)\n", "\n", " set_ranges()\n", " Set ranges in panels according to ranges defined in dparameters.\n", "\n", " set_tick_params()\n", " Set tick parameters. Ex. set_tick_params(labelsize=10)\n", "\n", " tight_layout()\n", " Tight layout if no constrained_layout was used.\n", "\n" ] } ], "source": [ "mn.MultiPlot.describe()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Create a MoG with **multiple** components (e.g. two Gaussians):" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can specify weights, means, and covariance matrices explicitly:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:17:34.271540Z", "iopub.status.busy": "2026-02-15T18:17:34.271415Z", "iopub.status.idle": "2026-02-15T18:17:35.060364Z", "shell.execute_reply": "2026-02-15T18:17:35.059574Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Composition of ngauss = 2 gaussian multivariates of nvars = 2 random variables:\n", " Weights: [0.1, 0.9]\n", " Number of variables: 2\n", " Averages (\u03bc): [[0.0, 0.0], [5.0, 5.0]]\n", " Standard deviations (\u03c3): [[1.0, 1.0], [1.0, 1.0]]\n", " Correlation coefficients (\u03c1): [[0.2], [0.0]]\n", "\n", " Covariant matrices (\u03a3): \n", " [[[1.0, 0.2], [0.2, 1.0]], [[1.0, 0.0], [0.0, 1.0]]]\n", " Flatten parameters: \n", " With covariance matrix (12):\n", " [p1,p2,\u03bc1_1,\u03bc1_2,\u03bc2_1,\u03bc2_2,\u03a31_11,\u03a31_12,\u03a31_22,\u03a32_11,\u03a32_12,\u03a32_22]\n", " [0.1, 0.9, 0.0, 0.0, 5.0, 5.0, 1.0, 0.2, 1.0, 1.0, 0.0, 1.0]\n", " With std. and correlations (12):\n", " [p1,p2,\u03bc1_1,\u03bc1_2,\u03bc2_1,\u03bc2_2,\u03c31_1,\u03c31_2,\u03c32_1,\u03c32_2,\u03c11_12,\u03c12_12]\n", " [0.1, 0.9, 0.0, 0.0, 5.0, 5.0, 1.0, 1.0, 1.0, 1.0, 0.2, 0.0]\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "weights=[0.1,0.9]\n", "mus=[[0,0],[5,5]]\n", "Sigmas=[[[1,0.2],[0,1]],[[1,0],[0,1]]]\n", "MND=mn.MixtureOfGaussians(mus=mus,weights=weights,Sigmas=Sigmas)\n", "print(MND)\n", "G = MND.plot_pdf(\n", " properties=[\"x\", \"y\"],\n", " figsize=3,\n", " grid_size=400,\n", " colorbar=False,\n", " cmap=\"Spectral_r\",\n", " marginals=True,\n", ")\n", "plt.savefig(f'gallery/{figprefix}_2gauss_pdf.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Or use a flat parameter list (weights, mus, sigmas, correlations):" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:17:35.070528Z", "iopub.status.busy": "2026-02-15T18:17:35.070375Z", "iopub.status.idle": "2026-02-15T18:17:35.085987Z", "shell.execute_reply": "2026-02-15T18:17:35.084810Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Composition of ngauss = 2 gaussian multivariates of nvars = 2 random variables:\n", " Weights: [0.1, 0.9]\n", " Number of variables: 2\n", " Averages (\u03bc): [[0.0, 0.0], [5.0, 5.0]]\n", " Standard deviations (\u03c3): [[0.8944271909999159, 1.0], [1.0, 1.0]]\n", " Correlation coefficients (\u03c1): [[0.223606797749979], [0.0]]\n", "\n", " Covariant matrices (\u03a3): \n", " [[[0.8, 0.2], [0.2, 1.0]], [[1.0, 0.0], [0.0, 1.0]]]\n", " Flatten parameters: \n", " With covariance matrix (12):\n", " [p1,p2,\u03bc1_1,\u03bc1_2,\u03bc2_1,\u03bc2_2,\u03a31_11,\u03a31_12,\u03a31_22,\u03a32_11,\u03a32_12,\u03a32_22]\n", " [0.1, 0.9, 0.0, 0.0, 5.0, 5.0, 0.8, 0.2, 1.0, 1.0, 0.0, 1.0]\n", " With std. and correlations (12):\n", " [p1,p2,\u03bc1_1,\u03bc1_2,\u03bc2_1,\u03bc2_2,\u03c31_1,\u03c31_2,\u03c32_1,\u03c32_2,\u03c11_12,\u03c12_12]\n", " [0.1, 0.9, 0.0, 0.0, 5.0, 5.0, 0.8944271909999159, 1.0, 1.0, 1.0, 0.223606797749979, 0.0]\n" ] } ], "source": [ "params = [0.1, 0.9, 0.0, 0.0, 5.0, 5.0, 0.8, 0.2, 1.0, 1.0, 0.0, 1.0]\n", "MoG = mn.MixtureOfGaussians(params=params,nvars=2)\n", "print(MoG)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:17:35.087905Z", "iopub.status.busy": "2026-02-15T18:17:35.087800Z", "iopub.status.idle": "2026-02-15T18:17:36.379560Z", "shell.execute_reply": "2026-02-15T18:17:36.378834Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MixtureOfGaussians.rvs executed in 0.9406547546386719 seconds\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sample = MoG.rvs(10000)\n", "G=mn.MultiPlot(properties,figsize=5)\n", "\n", "sargs=dict(s=0.2,edgecolor='None',color='r')\n", "hist=G.sample_scatter(sample,**sargs)\n", "\n", "pargs=dict(cmap='Spectral_r')\n", "pdf=G.mog_pdf(MoG,colorbar=False, **pargs)\n", "\n", "cargs=dict(levels=10,decomp=True, legend=False)\n", "cont=G.mog_contour(MoG,**cargs)\n", "\n", "plt.savefig(f'gallery/{figprefix}_1gauss_sample_density.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "\n", "**MultiMin** - Multivariate Gaussian fitting\n", "\n", "\u00a9 2026 Jorge I. Zuluaga" ] } ], "metadata": { "kernelspec": { "display_name": ".multimin", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.5" } }, "nbformat": 4, "nbformat_minor": 4 }