{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Computing and Plotting Power Spectra" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this tutorial, we cover how to compute and plot power spectra with `tuesday`.\n", "Here we will focus on computing these quantities use the `core` interface, which is\n", "a generic interface that can be used for most simulator outputs. " ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2019-11-26T00:04:00.481824Z", "start_time": "2019-11-26T00:03:59.808909Z" } }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from astropy import units as un\n", "\n", "%matplotlib inline\n", "\n", "import powerbox as pb\n", "\n", "import tuesday" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Calculating Power Spectra From Coeval Boxes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Coeval boxes are cubes of some physical field at a particular redshift, generally \n", "constructed using a simulator. For this tutorial we don't worry about which simulator\n", "has produced the data, and instead just focus on how to compute the power spectrum \n", "(both cylindrically and spherically averaged) and plot it with `tuesday`. \n", " \n", "To construct a mock \"coeval cube\" for the sake of illustration, we will use `powerbox`:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2019-11-26T00:04:18.884398Z", "start_time": "2019-11-26T00:04:00.492994Z" } }, "outputs": [], "source": [ "delta_x = (\n", " pb.PowerBox(\n", " N=32, # Number of grid-points in the box\n", " dim=3, # 3D box\n", " pk=lambda k: 0.1 * k**-2.0, # The power-spectrum\n", " boxlength=200.0, # Size of the box (sets the units of k in pk)\n", " seed=1010, # Set a seed to ensure the box looks the same every time (optional)\n", " ).delta_x()\n", " * un.dimensionless_unscaled\n", ")\n", "box_len = 200.0 * un.Mpc" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `delta_x` we just constructed is a 3D numpy array (in this case, it contains the \n", "over-densities of a Gaussian Random Field with a power spectrum of $0.1 * k^{-2}$):" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Type: \n", "Shape: (32, 32, 32)\n", "Mean: 0.000\n" ] } ], "source": [ "print(f\"Type: {type(delta_x)}\\nShape: {delta_x.shape}\\nMean: {np.mean(delta_x):.3f}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can use `tuesday` to plot coeval slices from this cube:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "from tuesday.core import (\n", " coeval2slice_x,\n", " coeval2slice_y,\n", " coeval2slice_z,\n", " plot_coeval_slice,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We first slice along the x-axis and plot:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plot_coeval_slice(\n", " delta_x,\n", " box_len,\n", " transform2slice=coeval2slice_x(idx=15),\n", " title=\"Slice in x-direction\",\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also include a velocity field on top of the slice plot:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "ax = plot_coeval_slice(\n", " delta_x,\n", " box_len,\n", " transform2slice=coeval2slice_x(idx=15),\n", " title=\"Slice in x-direction\",\n", " v_x=delta_x[15,...]*un.m / un.s,\n", " v_y=delta_x[15,...]*un.m / un.s,\n", " quiver_decimate_factor=3,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Slice along the y direction and pretending we're passing a brightness temperature in mK:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_coeval_slice(\n", " delta_x.value*un.mK, box_len, transform2slice=coeval2slice_y(), title=\"Slice in y-direction\"\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And finally, slice along the z-axis:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_coeval_slice(\n", " delta_x,\n", " box_len,\n", " transform2slice=coeval2slice_z(idx=5),\n", " title=\"Slice in z-direction\",\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We calculate the power spectrum of this field using the `tuesday` function `calculate_ps_coeval`:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(32, 32, 32)" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "delta_x.shape" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/dani/miniconda3/envs/21cmFAST/lib/python3.11/site-packages/powerbox/tools.py:287: RuntimeWarning: invalid value encountered in divide\n", " np.bincount(\n", "/home/dani/miniconda3/envs/21cmFAST/lib/python3.11/site-packages/astropy/units/quantity.py:659: RuntimeWarning: invalid value encountered in divide\n", " result = super().__array_ufunc__(function, method, *arrays, **kwargs)\n", "/home/dani/miniconda3/envs/21cmFAST/lib/python3.11/site-packages/powerbox/tools.py:732: UserWarning: One or more radial bins had no cells within it.\n", " return angular_average(\n", "/home/dani/miniconda3/envs/21cmFAST/lib/python3.11/site-packages/powerbox/tools.py:551: RuntimeWarning: invalid value encountered in divide\n", " np.bincount(\n" ] } ], "source": [ "ps1d, ps2d = tuesday.core.calculate_ps_coeval(\n", " delta_x,\n", " box_length=box_len,\n", " calc_2d=True,\n", " calc_1d=True,\n", " deltasq=False,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The return values from `calculate_ps_coeval` are both the 1D and 2D power spectra (if\n", "`calc_1d` or `calc_2d` is set to False, then that return value is None). Each of these\n", "is a simple object containing relevant power spectrum information:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SphericalPS(ps=, k=, redshift=None, n_modes=array([ 0., 0., 8., 0., 24., 24., 80., 144., 320.,\n", " 512., 1160., 1904., 3728., 6880.]), variance=None, is_deltasq=False)\n" ] } ], "source": [ "print(ps1d)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Having the power spectrum in this form makes it easier to plot with the core functions\n", "in `tuesday`. The power spectrum plotting functions in `tuesday` require such a power spectrum\n", "object, which is very easy to create. Let's create a mock SphericalPS containing\n", "the analytical power spectrum we used to construct the box:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "ps1d_analytic = tuesday.core.SphericalPS(\n", " k=ps1d.k,\n", " ps=(ps1d.k * un.Mpc) ** -2.0 * (0.1 * ps1d.ps.unit),\n", ")" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1, figsize=(12, 5))\n", "ax = tuesday.core.plot_power_spectrum(\n", " ps1d,\n", " fontsize=20,\n", " ax=ax,\n", " color=\"k\",\n", " legend=\"tuesday\",\n", " logx=True,\n", " logy=True,\n", ")\n", "ax = tuesday.core.plot_power_spectrum(\n", " ps1d_analytic,\n", " fontsize=20,\n", " ax=ax,\n", " color=\"r\",\n", " legend=\"analytic\",\n", " legend_kwargs={\"loc\": \"upper right\", \"frameon\": False, \"fontsize\": 15},\n", " logx=True,\n", " logy=True,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also plot the 2D power spectrum:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/dani/miniconda3/envs/21cmFAST/lib/python3.11/site-packages/astropy/units/quantity.py:1896: RuntimeWarning: Mean of empty slice\n", " return super().__array_function__(function, types, args, kwargs)\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = tuesday.core.plot_power_spectrum(\n", " ps2d,\n", " logx=True,\n", " logy=True,\n", " logc=True,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Calculating Power Spectra from Lightcones\n", "\n", "Lightcones are cuboids of some physical field consisting of many 2D slices at different\n", "redshifts. Throughout `tuesday`, lightcones are represented as 3D numpy arrays in which\n", "the line-of-sight (or redshift) axis is the *last* axis of the array.\n", "\n", "For this example, we're going to be agnostic about where the lightcone was actually made,\n", "and instead make a \"mock\" lightcone consisting of a series of random 'coeval' boxes \n", "(that we just made above) stitched together over their last axis. " ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "lc = np.zeros((32, 32, 32 * 10))\n", "rng = np.random.default_rng(42)\n", "\n", "for i in range(10):\n", " lc[:, :, i * 32 : (i + 1) * 32] = pb.PowerBox(\n", " N=32, # Number of grid-points in the box\n", " dim=3, # 3D box\n", " pk=lambda k: (i + 1) * 0.1 * k**-2.0, # noqa: B023\n", " boxlength=200.0, # Size of the box (sets the units of k in pk)\n", " seed=rng.integers(\n", " 0, 10000, 1\n", " ), # Set a seed to ensure the box looks the same every time (optional)\n", " ).delta_x()\n", "lc = lc * un.dimensionless_unscaled" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's pretend this lightcone spans redshifts 6 to 35. We define the redshift of each\n", "slice:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "lc_redshifts = np.linspace(6, 35, lc.shape[-1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also use `tuesday` to plot lightcone slices:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "from tuesday.core import lc2slice_x, lc2slice_y, plot_redshift_slice" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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1a2TMmBEA0L17d1y6dCnevNHR0SLu06cPAODUqVPo0aMHHjx44LCtmIfdPmsiIyPRqlUr3LlzB1myZMHkyZMBPLxI8OGHHwIARo8ejbVr17pVv5eXF9q1awcAWLx4MdasWWOX59atWxgwYICbS5BwtWvXRqlSpQAA/fv3d/rf91euXMH169fFez179gQAbNu2DaNGjYq3rGmadhcBYp7ncOHCBZf7HuOdd96Br68vAKBXr164d++eXZ7t27dj0qRJAIDGjRuL50gQEREREZFreHGAiIiIyA0REREYPnw4smfPjubNm2Pq1Kk4cOAAQkJCcO3aNezduxcjRoxA2bJlERISAgAYPHhw7JefnkqRIgUmTZoEwzBw8uRJlC1bFj/88AOOHTuGGzdu4OzZs1i8eDE6duwY+0V4jKZNm6JNmzYAgJ9//hlVq1bF3LlzcebMGdy4cQPnzp3D+vXrMXToUBQtWjT2YsKzpn///ti7dy8Mw8C0adNiL6YAwKhRo1CyZEmYpom2bdvGriNXffbZZ8iQIQNM00SjRo0wZswYnD59GiEhIVixYgWqVauGo0ePInv27Im1WHGKWcaUKVPi2rVrqFixIgYNGoSdO3ciNDQUISEhOHjwIGbMmIEWLVogV65cOHHihKijZ8+eeOWVVwAA/fr1Q8uWLbF+/XpcuXIFoaGh2L17N8aOHYuSJUvaPVi7XLlyAIB//vkHCxcuRHh4OKKjoxEdHe304lOMTJkyYejQoQCArVu3onr16li1ahVCQkJw5swZjB8/HnXr1kVUVBT8/PwcXsAgIiIiIiLnkj7pDhARERE9i3x9feHj44N79+5h7ty5mDt3brx5kyZNioEDB6J3796J2oc333wTM2fOROfOnXHhwgX873//izNf+/bt7d6bMmUK0qZNiwkTJmDLli3YsmVLvO0UK1Ys0fr8uKxYsQLjxo0DAPTu3Tv2NkwxkiVLhtmzZ6NcuXK4ePEiOnXqhMWLF7vcTsaMGbFkyRK8/vrrCAsLQ9++fdG3b9/Y9CRJkuCnn37CzJkzcf78ec8WyonSpUtj3bp1aNasGc6ePYuvvvoKX331VZx5DcOIvRVQDG9vbyxbtgzNmjXD2rVr8eeff8bewseZdu3aYcSIEbh69SoaN24s0tq3b4+pU6cmqJ5+/fohJCQEo0ePxrZt21C3bl27POnTp8fixYv5vAEiIiIiIg/xlwNEREREbihYsCCuXr2KOXPmoHv37qhUqRIyZcoEb29v+Pj4IGPGjKhSpQo+/fRTHDp0CEOGDHkk/WjZsiWOHz+OTz75BGXKlIG/vz98fX2RO3duVK9eHWPGjInzC2Jvb298//332Lt3L7p3744SJUrAz88PXl5eSJMmDcqUKYMPP/ww9kviZ8mVK1fQoUMHmKaJgIAAfP3113HmK1asGMaOHQsAWLJkCSZMmOBWexUrVsTBgwfxwQcfIHfu3PDx8UGWLFnQqFEjbNiwAV27dnV7WVz18ssv48iRI/j5559Rr149ZM2aFT4+PkiWLBly5cqFN954Az/88APOnTuH0qVL25VPmzYt1qxZg/nz56NJkybInj07fHx8kC5dOpQoUQKdO3fGypUrkStXLlEuY8aM2Lp1Kzp27Ii8efO6/QsZwzAwatQoBAYGok2bNsiVKxd8fX3h5+eHMmXK4LPPPsPRo0f5rAEiIiIiokRgmKZpPulOEBERERERERERERHR48NfDhARERERERERERERvWB4cYCIiIiIiIiIiIiI6AXDiwNERERERERERERERC8YXhwgIiIiIiIiIiIiInrBPHMXB0zTxD///IOPP/4YFStWRJo0aeDj44Ns2bKhadOmWL9+vcPyW7duRcOGDZExY0YkT54cxYoVw5dffom7d+86LBcUFIQ2bdoga9asSJYsGfLnz4++ffvixo0bibh0RERERERERERERESPnmGapvmkO+GKtWvXolatWgCAJEmSoECBAkiZMiWOHTuGW7duAQAGDRqEL7/80q7sH3/8gfbt2+P+/fvInj07MmXKhAMHDiAqKgrly5fHhg0bkCJFCrty69evR/369REREYGMGTMiZ86cOHz4MO7cuYN8+fIhMDAQmTNnfrQLTkRERERERERERESUSJ65iwNr1qzBBx98gN69e6Nly5ZImzYtACAyMhJDhgzB8OHDAQBLlixBgwYNYsudPn0aRYoUwb179zBy5Ej07dsXhmHgzJkzqFu3Lo4cOYLu3bvjhx9+EO3dvHkT+fPnx9WrV9GjRw+MHj0a3t7eCA0NRcOGDbFlyxbUr18fS5cudWk5Hjx4gAsXLiB16tQwDMPDUSEiIiIiIiIiInqxmKaJmzdvIlu2bEiS5Jm7QcoTc/fuXURGRrpd3sfHB8mSJUvEHtETYz5jwsLCzKioqHjT69WrZwIw33rrLfF+t27dTABmnTp17Mps2bLFBGB6e3ubly5dEmkjR440AZhFixY1o6OjRdqZM2fMpEmTmgDMXbt2ubQcwcHBJgD+8Y9//OMf//jHP/7xj3/84x//+Mc//vGPfx78BQcHu/S93IssIiLCRJYsHo13lixZzIiIiCe9KJQIkuIZ4+fn5zC9du3a+Pvvv3H06NHY90zTxIIFCwAAnTt3titTqVIlFClSBIcPH8aiRYvQtWvX2LT58+cDADp06AAvLy9RLleuXKhVqxZWrFiBefPmISAgIMHLkTp1agDAVAAxNzJ6z5JeSuXfreJzfWTsP2ayfCOsqQhX+fuL+Kaqr2lYWOzrtCrvdUvaw8ZkempV182TKn96leF31dVZtvq2bJVpb+i2tRoqXqdi/y2qscoqvYIt6ZfDIunMezJrI1X1RRWrljBNxd9hl+pLAUs/PpdJf48TcZZ6smiEk3FpqNZRXpU+1LLl+4fKusI+kWX9hztuK2yjyl9C1Rcu0xFsyftmC5l3758yb958Mi57Usa/yrCemg/Rqq+rZ1nanqL6eV31s7cMu7WS8TBVd161TsIOqXHJY0s/lFWmZQ9rKCurtUiWDZF1v3tKlv/NyXwoZZkP+1TefWqulFLpBVX6zimybv8mTrbRR0mto0qTZF9TWV7PVUe7b9Xk+Ginqvt/MvS/JJezu1oHXy9W+avZ8odNUXOh45MbM71/P/29ylBOhv7FZF8nqfJZVfE3PrTk/8pxX8LeU+Pyi+NxeU+1PVLtUl8ta3vdXJX93zsy9p/guC19zKygdkXQPxa8YKl7kqx72CxZ1//mqLJ1fWT8lfrvnYGyPrWnEvKpfu/R+4Y5aszPqf1W70Yy/z/rZRwoQ/86lvIvybRjqi/tVV8DnR3f35fhKTWOeQdbtrF7alQ+kedAWPSXjBseFWGYfyER59L7c7W9I+/y2Jf+UOcVSthqNea1Pdz+LdtVWB5V92XV729U+pWEHysAYLM8LcJrRWyvdztbf07q1h9AdmO4fCOsmwznWcq/LdvuoeruruourPr6rcr/UZjjbSzMcrJZxl/ueE46GYcwZBRxE3+5fa91cRxl3eEi9q+hPiOpc+IwrJD5j74uM8jNwCM11Rg7W87lKv8b1nNm6/kygLAaal6vc20M9XGs8wFVPmfC6wrrp2ZLCRn6t1PbpK6gmiz/1l7b68XqTrf+J1Rdr6px2JV45xZhmK/eaSLDB7Lt2Wll8nvO5vVY1Z7lfM7fv6tMC9svYn+oD4vKdbV+06q+/KXSrZ+Bwy6q9am/dki5WcalXpXxchkix3/qjTwy3GVrz7+s489P/n5O9jVFZP5u6oPqj9tkXKai7bXej01QY/SO3ATt5prT+XJbjWvK+JfF0TlOQoSNU+NWT7Vl2c8NUMupvl5BLxX/qMbpjCqfW313gJHq2LLWEtSUWcN+U0uuHofp/2Hibd9aWEE1ZsdUW6+oAslVrL9/Uaz73M7OjpnrVV9ec5J/vi1/eASQs5vtezZyLjIyErh0CTgaDKR2/D1rnG6G41KhnIiMjOSvB54Dz9zFAWdiHiycPLltr3X27FlcvPjwCFm5ctwf4ipXrozDhw9j+/btsRcHoqOjsWvXLqflVqxYge3bt7vUz5hbCaWA7eKA9cdPesXoGw/5+eoa1RmkuoiSUuV+oItb8tv9CEvVpftid1MkvWPR+xl1QPGzLKzup27bjh4ou+yqRrv6bBd8/FS/9GFFj4tebp3fbhWJryp1X2RuP9VtuzF2Mi7eTvriZ61Q1WU3t5y0pfuq17+fqdJFfvmlmJ8eRD816l4qXQ2psx2an3Uz8Vb91IXVJqW+vrNb33bjmCr+dLvF9FNrTPcliaxb98XZOhLDpvI6Ww495H76sSzOttFHSQ2EHjbrqPqpjUifvtitLyfrwG4z0duBZVz0vuVJjpnej9n1zcG8Bew2C/t9tq8lv5PF9NMT2cm42I256qt1rtqtXxfbsludeuD0hmMt4CPrtuuL3TakJqeL+2Aru/Wry+q2k6n9lt4R6oHQC5Mq/vWth8hu/+xsudQ6s9tXWfquhxB6n2o35rI2fZiy25/b7bStA+PkGJnY+0zL/LDbfvX6tBsXF44VsF9uR8cSZ3TdOrabXHodpIg/TW/e9rsxJ9uks/Mcy+x1do5sX1auBJe3A4d1K0kdn3/76Q0hleP8nnB1Oe2OJda1qOeC3UR1reN2T5dz9rnFAbtzZifHe7uq1bJYx83Z9uvpODhiN1d0z9UHSb3YTvvicHNXnw3sF9Rh1XapTj4Ti/O1W04qS6n2Ls7ODewPHjK0Vudsrjjb16i+2J32OOq6qttuGjuZa07niy6f8tGdB/s5Ok8BRNfsTrdUbH/q6PgzlNPP0A5OHeyO59oj/Oxgd46r29Lrz+n3L5KYHa5+r+Asv/3jQnnLbnck9bM/h0hQucTvCj05z9XqNE0Tc+fOBSC/zD927BgAwNfXF9myZYuzbL58+URe4OFzCqKiokR6QsoRERERERERERERPbXuIK7/2khYOXpuPFcXByZOnIg9e/bAx8cHvXr1in3/+vXrAIA0adLEeyUx5sHGMXn165j0hJSLy71793Dv3r3YODw83EFuIiIiIiIiIiIiIqJH57l5jPfu3bvRs2dPAMCwYcOQP3/+2LSYWw35+NjdjCOWr+/D34FFRETYlXNUNq5ycRk+fDj8/f1j/3LmdOGGlkRERERERERERESJJQIPfwXg6p/jr0DpGfNcXBw4deoUGjRogLt376J169bo27evSI95OEZkZGRcxQEg9r/6rc8qsD5UI76ycZWLyyeffIKwsLDYv+DgYIf5iYiIiIiIiIiIiB4Jdy4MxPzRc+OZv63QpUuXULt2bVy8eBH169fH1KlT7W4dFHPrnxs3bsA0zThvLRRzWyDr7YOsr69fv46sWbMmqFxcfH19Y39lQERERERERERERPTERMC9fxvnLweeK8/0LweuXbuG2rVr48SJE6hWrRrmzp0Lb29vu3wFCxYE8PC//C9cuBBnXSdPnhR5ASBPnjyx9cWkJ6QcERERERERERER0VOLvxwgPMO/HLh16xbeeOMNHDhwAOXLl8eSJUvivbVPrly5kCVLFly6dAlbtmxB8+bN7fJs2bIFAFChQoXY95ImTYqAgABs374dW7ZsQeXKlRNUzhU5AKT6/9ehphn7/l7164awmqrgQRneR0sR/2HIeLMq3n++jL+xtDegjykTD8uwsKrrsKny/6My/CZD01S/3NiUKfblGeOKSFqjxqGWbmsbHDOrOkk/EPvS7vckE1S8vb+MF4wQYcGZMjn9XFmj+ZkcuSGW5KH55XIZZWXdUItdV43LSjUun8rsdhd1jQGqQmtaHpXWQWWYquLJMjRzyL5FqkWpaM1rTpOJ16bL+MPjMtab7jEZbkI62ZcD12SGW5bXal5jv4qTy3GYooZliso+Wa0TfeXVTGtLN7BRJtaQ87TqVlnXQDU79fo0C6rZe05lWGF7uVb1M6/eppQgPxlPaSHj3S1kfWWKyXTjoOP6hbMqzuU4uzlbtm04WBa9fZut1DupVYbeKm4kw2yquFHDwXKqeXrKyTrIrNIvO1lHjjjbV+CeWhB1mGu0S6a3fFU1sCn+X831Vm3bHaFHxls0Tn+ouIM6GO2xLNtuZFa59VHQscp6nIw/RXgspzzGFrTmf10W7WPukVXhJYdtmz+odfLFShEONmQDQy1tH+vksGqgsWprm2pL//9ENXVsqhZ/1d3U+tard5Or83iqDNOrna5p9LMFdqd14TJs6rhtf9U3EzVkhnzxlzfzqTHUB4dmKr4Fl5h11X5upa0vRhrVr9YyNEa4NuZ71DgYxlHVmULxlrVraarj/bM5UI3bV71k/lIyeYzlGP2O2n9PVHVPdPJh1fxIxpv0L4r1OFhPNl2cxka3u/INXd5QE8JMhfi8rfsZpjJsU5V/o9JnvinCmuq85xOVvaZpOz9vp87PpzvZnvWxxvRS8+G+TK+qdhhmU9sO3lCDZmxXda9TdVdUdaeU6a1Kqr5/LkO781wrNabGOL3vkB8Gbut19kCV3zVbvmHaTrLsf+euyh656SSHY+ZV2cIe2+qGMVEuV5EuMm+QOqS27SLjds4aH6Bja/1HZNoyebA3B6v1vVP21cvJ3Kzr6DiZTZfdqeKXZHiyikp37Vxj3suWQJ92+DlejmN6bqntebK6g7FRXNVnDdW87ujseG2oNWyqD8EV1IeF7S7uOD1gfKy2ye1ynB5YQj1Xhjqpe4o61zDVvJ83XsbNTqj8lnNq46Lar33geIzMxWp9v6Xzvy/rw88O6xN5L+r9mJR3v2z7tJ4falxGq+9AWlryt1J1mx+o5ZqnMlxVsfr8bjS39CU8HOjoD3JDBJwfdOIrR8+NZ/KXA/fu3UPDhg2xfft2FC9eHCtWrEDq1PqbHRvDMNC48cNPxJMmTbJLDwwMxOHDh+Ht7Y233npLpDVp0gQAMHXqVNy/f1+knT17FmvWrAEANG3a1KNlIiIiIiIiIiIiIiJ6XJ65iwP3799Hy5YtsW7dOuTPnx+rV69GunTpnJb7+OOP4ePjg1WrVmHUqFEw//8K5pkzZ9Cp08N/IXj33XeRJUsWUe79999HhgwZEBQUhN69eyMqKgoAEBoaitatWyM6Ohr16tVD2bJlE3lJiYiIiIiIiIiIiB4B3laI8AzeVmjOnDlYuHAhACBJkiRo1kz/XvuhrFmzYu7cubFx3rx5MXHiRHTs2BH9+vXDuHHjkClTJhw4cABRUVEoW7YsRo0aZVePn58fZs+ejQYNGmD8+PGYNWsWcuXKhaCgINy5cwd58uTB5MmT7coRERERERERERERPZXcvT0Qbyv0XHnmLg7cu3cv9vWxY8dw7NixOPPlzp3b7r127dqhQIECGD58OAIDA3Ho0CHky5cPrVq1Qv/+/ZEsWbI466pZsyZ27tyJYcOGYd26ddi/fz+yZ8+Oxo0bY9CgQUibNv57LhMRERERERERERE9VSLg8jOVAAB3nWehZ8czd3GgQ4cO6NChg9vlK1WqhCVLlrhcrnjx4pg1a5bb7RIRERERERERERE9Fe4AeOBGOV4ceK48cxcHiIiIiIiIiIiIiMgDEXDv4sA951no2fHMPZCYiIiIiIiIiIiIiIg8w18OEBEREREREREREb1I7gC470Y5/nLgucKLA0REREREREREREQvkgi4d3EgMrE7Qk8SLw48YZVOhgGp/QAAeQwj9v1TaVXG4Souf1uESfxTirjtWJk96F0ZX24i4/XWoIpqa6EMt6nkNCou86oh4n9UOgqruOmV2JdnVVK7M44fm57dkG2dvyrzGxllumm68Bh2vaAYIeuqJOs2rsi6v1WljRDd9ne2l8cdd2WCWs7uTpYjALPVO2Vk9KWtvt0RMqcxupZ84+pqh20d/0PGBXfJvk0eIfu+e6Xt9Wy1XC1fkXW12irjWc1U4wEy9MM1VYHK39Ty+kR/mfaTyjtK9g0Z5XKZH6p0NXk75lf1VbS8Xl5VpnWT4Ua13MvUw37qvyzjTf/KuJqaH2awra+/wTVGmKproVzugo1l/vyHZLzPso6jVd3VVRzuyvYJAGFO0nfbXi4tq9bXEZX3sAyN39Ryj1Tl98iwzw61PyhvK2+MUss1Kq7O2lxX8Vy1nbyt9qHGYVW/ZVlqq7pWIJmIR8gQr6r8C9U6UaPg0JhbMjaOyLqS63XysQzNd1S6eUCEkUaJ+BsvfkXGndWgbVNjNkeG/dWYf1NSpmfYr9qzjHlwmB6lVCK6YciBSdNejfE11bcCMjRVX4da5+6khqppNS/91Ly+oHY2rSrJeJA6hhb/XKav+8KSKOv+UY2hYbh2PK5r6PUv80+3pG9WZVsYy0Vc6zVV1brM8o2rcr4MySSTh3yn+mJdJyflxDUwUuZV24HLvpCh+bGtL8YNF/eZM1XcWoYd1ZhP1uuoriX9mKrrpNrb/KDSO8jQuKfqNv4UoflpS5m8v3js675QJ7VaChWr/bs6JUI1bHRcnwN254KBarl+dFLeL7V+R0TdLetkucoJtT3rY0UzpJN9U+uziMpf02yrGpgW+6q02vtPUzn1Xs8sp965r3ZkC1UBuXuH8bGlr81VXrUPNGoWF3F51ZuN76vyLdU6q+bCdjTASfobbUR4RiUXM9Q+WG8G1uODKY8ddpylO2Go81o4GIbDXW7KslVU2/qzozPqZNQY0c/WjZfV8Xqyyrsz/nMeADAHqvWbVx1jJzlY0Kpq3m6S28RaY7qIazk5jtmlllLbqKW8ibKyn9jlsO6Czs6ZHZwiaWZ3uy1YxcEqWe0BLslxwXa5Tw1V+5r0lr4bDVRTo1VTRWRs11O1zoxNqu8V5ORMMt/um4mEU/sejJPh2/rz11XZt8rq3MJqtBqjvnr9vqU+cG9UIyF3PTDP/SziDJb6Q+zmTh4Z3pB7rtPO5tpuGfYJ1xkKWl7Lk4e1spv225SRXsafhcpYnSORm+7A/oN6QvDiwHOFFweIiIiIiIiIiIiIXiQRcO/iQFRid4SeJF4cICIiIiIiIiIiInqR3AHg7UY5Xhx4riR50h0gIiIiIiIiIiIiIqLHi78cICIiIiIiIiIiInqRRMC9XwG4cysiemrx4gARERERERERERHRi+QO3PtmmBcHniu8OEBERERERERERET0IokA4OVGufuJ3RF6knhxgIiIiIiIiIiIiOhFEgH3nkb7ILE7Qk8SLw4QERERERERERERvUjugBcHyK0pQEREREREREREREREzzDDNE3zSXfiRRQeHg5/f3+cApD6/9+rYkk/jJsi/+jYXA/1raBWW4AMt/xkiFjWBpRTcT5r3ybKuoO7yLp+U2WHbpb5J7zquO0Bn8n8Jmz5U34p894eI2OjT3FZ9uWDMsNhlT/M/ekdYsjlSF9H1b1qtnzjdguZnlKW15tasKX+HLlkVYPOynhYWtX2SLVc78Kxbir+0fbyvlpOrbiKa+iqnOxCyqv6d8A2bgZairQHGWTZ0yEyzpNSVf6XiuvmlvGbZ2S83PL6/hsyreByEc4+LpNbIZ2IzY+uibjdtzL/+6prlXfZxqlLWTkmqtcYdFWN6W4ZFqkryw9W5Vs5Wid6A9ZzZ6aKW8uwplqfaxeothrJ0HzHlv/4HzLtgmqqmu73KpVBbYMDVV/0T+GGmJaR/UnNhS4q8yYZGgfUfspPbSdqpYWpDSONdVn6qrYayXCy2mfKmQX0mafeaCo3DAPpRWxa9/8f6rIqXi9DQ6/PKnCb+asas647ZNy+vIx/l20bzVV9c3QLv4uolNEh9vW+0zLn2jwyrmmq7R/yWNLdkPNlqsp9x9THsbKxr78y5AY7CEdk3gKFRWwcU3XdUOOWZr7MP76xTO+BeE1Q20g31e9NKr2av+rLTrW9F5T117LUZ5aReZvtlXnn6TE7p5ZTTQfjYuKdnpp7VVujVVszVN9myvyl2sj87S2v+5i1ZV2H1Y6riJO+zZFtGc3Vcv8jw+2W/UUFF0/h66r1vWKPyvCS4/qspc2makz/kmUjVVs+pjyRWWhcF3FjZ8uy0NJ2I8dZHZ/VyPMvAFit0js56ouhDhZmVRnikkwfkFUW/0bWrc+R/lVtv2xJ/zev6stJ1c9Lsq5WsmlsVsXPOxlzkfq3rDuJ2oU+kKdzQAcV35Lh8bdlnE+G8HLUtwIyNHupbehDtT3rY5E6/htGwte3Oa+aTJenjlg7WcY1t6nqKspPRWvU57ua1v/C7KDK/u7a9q4/x2Rwsr7HWfKPVGnn1sn4X3XOU0F/WjAPJKSLcVOfWTaqz7T6XNFPLWe403k9XsSdjJ6xryuqvF29ZWxEOqlbbSdGPSf5b1ryp1Z5T6p5u0v1pZma5wNU2984abuRLb+x0LPjrflAtZ3ESX13LK/TqDS1zejP9mZlNS76S40WKv5BnVtaT9HU9ydmsKq7tKpL7aiMnfpcUKUjfnYjFK3GMKlrxwp8rFobpdLHWtJ7V1CNy0Ffqdp6PRG/Lnxb1T1XfWDO8LOM96ry+vP1UkvfYr5fCwsLg5+fn0f9fFHEjBn8wgDDjTEzw4FwjvnzgrcVIiIiIiIiIiIiInqR3IHz/6yIC//N/LnCiwNEREREREREREREL5LoW3DvjvO3nGehZwYvDhARERERERERERG9UC7BvS/6eXHgecKLA0REREREREREREQvlMtw74v+24ndEXqC3PntCBERERERERERERERPcN4cYCIiIiIiIiIiIjohXIJwEU3/i653eLy5ctRq1YtpEuXDilTpkRAQAC+//57PHjwwK36tm7dioYNGyJjxoxInjw5ihUrhi+//BJ37951WC4oKAht2rRB1qxZkSxZMuTPnx99+/bFjRs33OrHs4wXB4iIiIiIiIiIiIheKJfh3sWBy2619s0336B+/fpYu3Yt0qZNiwIFCuC///5Djx490LhxY5cvEPzxxx949dVXsXjxYvj6+qJo0aI4fvw4Pv/8c1StWhV37tyJs9z69etRtmxZzJw5E/fv30fx4sVx6dIljBkzBmXLlsXly+4t37OKFweIiIiIiIiIiIiIXiiP75cDW7duxaeffookSZJg5syZOHHiBP777z/s3r0bmTNnxuLFizF27NgE13f69Gl07twZ9+/fx8iRIxEcHIzdu3fj2LFjKFy4MHbs2IF+/frZlbt58yZatGiBiIgI9OjRA+fPn8euXbtw9uxZVK5cGSdPnkTnzp1dXr5nmWGapvmkO/EiCg8Ph7+/P4DqiHkutIE1selNVf7lKr7jrVZbBpWhjgz7/26I+Ju0Kv/HtpdDPpVJ/6isazFb1o2Wsu56Mr8xTfY1fUbZlyaW17+WlWVDd8lYP0HbX13eMu6rcamh0tfLtq3jPA9tRdoKTBdx3Xaqrt9lW1UNWXdu1dcqKu46zRL4qsSCMmwVIOPvVPb2Kl6pN+tsKsMFJNgvarn0fJjubBeSRobpw2z1hXirvJVV/LOK1XzAQhkac9PJN8xQGa6ztW00Uf1+V4bZx8jlPldYtX1MhmPUBe4+vyF+g2VonD8i3/AvJOMbDuoCMEGto+4O1olZUOY1rqq8TtoyvWT5/Wq5N6v83azPNvpWphmDHM+dPGq5Tq1VGWqorSpQzk6jkq3+uaqut80QVdlAFau9zcoJIvzxdZmsx7ySpb0tZpiq20+GPWXfsF5lV/MFI2VobFfjaNgG/RJSi6TMerGvqKJ7VF2t4RKzkmVZ9HOtFslwUz4Zq+mBhWqf/PAk1GLBahk3ir9fh9T6L6bWl4m9ssCbZURoLJXHPZgtZGzd3rupxqPkwWOaOra0zaXyq8Xao/Y9AY62741qLlULVDleEZHKDRjfyb7hIxE72t/7qTEOU3l1W2Y69Y7avxt5E356ah6RdY0vItN7HFJ1F1Nzy3+aCM3zaj9pqPmSwkFncqtjx1mZnFONS1s1bs6OqdZ9sN05jxNlVFu7v1QZVql4k9zHGtY9fHPVr6/V+iyg+lZcpR+U6a1U32brbfRNy3Iv0dvvKdXPvHCJ0V/G5ogEFzWHq7nyie6b1Fgt5w6Vft7B+h+nyvbMqvK6cG7nKXOoWu43VV/KlhDhDRwUsf/7Mrvxkxq3fbb6Xy8t8/6g+lKgh6prnGvbhfmBWhZLX8xVat7+ogqrk31jrFqOm6p8elW+gyr/q6XtcqrsHpXXyfZvnyq/HClojBKx9aPhDj0Pv1F1D1B9cdgT58zplu27rWzb7vxNHpbsxtxpW1VlfQUtu7Vjppese1W0iMfVlWV7fKcqV58l8IcMja6yr0UsyxZ0WpXNrZZrthrllvLgYiCniEuqcdun1+kNy5inUfP2oGpLfU8XOlnG6RfI2Giu6pum6rMeWnL8KdPgr2J1Dr1enX+9odqOcLwPdjRXneU1jzs5zjlra6alrtalVOI2Ec02Uoq4pZlK5b8pw3WqtRolVX7LXK4VJJOmqqw55JdBxudfyfQv8PikUfENGVrXQMz3a2FhYfDzU5+1KE627yRbAPBxo4ZIAH+6NOb169fH8uXL0bVrV/zyizyozpw5E23atEH69Olx8eJFeHvrL4vsde/eHT/++CPq1KmDlStXirTAwEBUrlwZ3t7eCA4ORubMmWPTRo0ahX79+qFo0aLYv38/vLxs+/+zZ88if/78iI6Oxq5duxAQoL6Me07xlwNEREREREREREREL5THc1uh8PBwrFnz8B+i4/qv/GbNmsHPzw+hoaFYv17/t5w90zSxYMGCeOurVKkSihQpgqioKCxaJP9Lbf78+QCADh06iAsDAJArVy7UqlULADBv3rwELNnzgRcHiIiIiIiIiIiIiCjR7dmzB5GRkUiWLFmc/43v7e2N8uXLAwC2b9/utL6zZ8/i4sWHvyyvXFnfggLifWt9Mb8IcLXc807fpYWIiIiIiIiIiIiInmuXAHg5zWXvvku5jx17eF/mXLlyIWnSuL+KzpcvH9auXRubNyH1+fr6Ils2fR9tW33WvMDD5xRERUWJ9ISUe97x4gARERERERERERHRC+Uy3Ht6zMOnPoSHh4t3fX194eurH6oJXL9+HQCQNq1+AKpNTFpMXkdi8qRJkwaGEXf/46rP+jq+vrjSj+cFbytERERERERERERE9EK5DgPXXP4DHn5xnjNnTvj7+8f+DR8+PM5W7t69CwDw8Yn/4ccxFxUiIiKc9trd+mLKOSrrSj+eF/zlABEREREREREREdELxBvu/24gCkBwcDD8/Pxi34/rVwMAkCxZMgBAZGRkvHXeu3cPAJA8eXKn7btbX0y5mLLW2J1+PC94cYCIiIiIiIiIiIjoBZIUnl0c8PPzExcH4pOQW/Uk5NZDur4bN27ANM04by0UV33W19evX0fWrFk96sfzgrcVIiIiIiIiIiIiIqJEV7BgQQDA2bNnER0dHWeekydPirwJqe/evXu4cOFCguvLkycPvL29Rbon/Xhe8OIAERERERERERER0QskqQd/rihTpgy8vb1x9+5d7N692y49KioKO3bsAABUqFDBaX25cuVClixZAABbtmyJM0/M+9b6kiZNioCAAJfLPe8M0zTNJ92JF1F4eDj8/f2BsDDg/3+CU9fyM5iV7dVquaMqmCPDjeonNPVU9lwqPpxV1m/WtpQ/K/OO2CDj/uqWXEaErKub6otu+4iKrT8qWqA6Pv1vGbftotq+ocYpgwwz/yT7cvmMzD8rty39E9Wv02rT0GNcXeV3tikdU+VXWV53/0yV/cJhVViq6mrgpO1ZKn8rS/7JKq0TbsrCZioRTlD5u3+g2v6pvyy+YaRM72d72fhfmbTgmIxRoIB6Q2VYJfvSta5MnrhZzfPGtvwPQmTeg6qlUiVl2Y77ZVv62vSKL2VsDFLj0s32cqOal1X/UJXp2+apjcio4f5u28wo2zauOqnLkOsT5ggRVlXzYeMYVd56MT67TJr+qYzbrpNxuxoyfktV3Qzfqr71krF1HS+USfe6yH776H8amKbilipuI0Njp5prtSz1r+kuM8+cIMu2UdvcH3Kby9NG9vVUQ9X2crUOrfNHzXO9j/RT6y9M/SJ0TLiM+0xR9dVXcQ/L69dU2k8q1ttMA2dzsbYIzfNrRPyVZX7NUEWDzAD5xiR1QppGNdVf9eW4DMepcbO2928DVdcSNTd2qJ+8lpfpxmGZjCIyNANV+VeshXupwmobya22/7PFZd2mOugiJxwRtandtXk8SsSRhnzgl486bhnGd6p2uY5MU22UyW2t6/MQzcyqlvuis7km+5IeH4k4JKUlOCqLjlH7ub5qOZ3tvZ3+rNv401JZC5F0SM1Lfb7V2MVT/kuqvsyWY7bRUNWlDormJLUk+tfmZVU8SsVqn2tMsLSnzoGd+lzFaneAxullnD9UhD1O2JZlvItjaJ9b7ggNfOBCebngBpq71Bdtn1q/pdSy3bCkp/Hw42Ij1dZCvV2kU/OlouX1cvXBJFKdFB2SofGSi301NsnYrGp7qfMmV/uSCL19VxQxSm2X+fc53h+8bBmnf9Xps1Fa5a6jO6fMlKHZWs5rA2reO9BDrT9n20EKlf+O3X5wgSywrknsywY1ZdIyJ22Z+dQ6Oelafqy1vM6ryk5Xedu6NreMVeqNhaovf1jqr6Xy/tVWvSGP566sP1fVV+vP2TrQzBxq3M6pDzZBlvOBoo7r1sdEE2NVem/Hfbmh5keahC+LiWD5Rm+17xnruK4Hahx/trzu/oi/grOr3XLuaZR33HZd1e+VHvZ1u6U+/ZF3vJr4ZmF5bo/Dcv9fypDrYJ/lc074TcA/LxAWFpagW9yQ7TvJtHDvv8Yf4OF3ea6M+RtvvIG///4bXbt2xS+//CLSZs6ciTZt2iB9+vS4cOGCwwcNx+jWrRt++ukn1KlTBytXrhRpgYGBqFy5Mry9vXH27NnYCwkAMHLkSPTv3x9FixbF/v374eXlFZt29uxZ5M+fH9HR0di5cyfKltUnrc8n/nKAiIiIiIiIiIiI6AXyuH45AAADBw6EYRj47bffMGvWrNj3//vvP/Tu/fBiX79+/cSFge+++w558uRBy5b6v/WAjz/+GD4+Pli1ahVGjRoV+w+7Z86cQadOnQAA7777rrgwAADvv/8+MmTIgKCgIPTu3RtRUQ//qSk0NBStW7dGdHQ06tWr98JcGAB4cYCIiIiIiIiIiIjohfI4Lw5UrlwZX375JR48eIDWrVsjf/78KF26NAICAnD58mXUr18fffr0EWVu3LiBM2fO4NKlS3b15c2bFxMnTkSSJEnQr18/5MyZEwEBAShYsCCOHDmCsmXLYtQo/fPUhw9Rnj17NpIlS4bx48cje/bsKFeuHHLlyoUtW7YgT548mDx5shtL+OzixQEiIiIiIiIiIiKiF4i3B3/uGDhwIJYsWYIaNWogNDQUx48fR8mSJfHdd99h0aJF4hY/CdGuXTts3rwZDRo0QEREBA4dOoR8+fJhyJAh+Oeff5AyZco4y9WsWRM7d+5Ey5YtYRgG9u/fj8yZM6N3797YvXu33a8NnnfuXOwhIiIiIiIiIiIiIkqwBg0aoEGDBs4zAhgyZAiGDBniME+lSpWwZMkSl/tRvHhxcXujFxkvDhARERERERERERG9QJLC/QcS0/ODFweIiIiIiIiIiIiIXiBe///nqvuJ3RF6onhxgIiIiIiIiIiIiOgF4g33Lg7wAbbPF14cICIiIiIiIiIiInqBJIV7FweMxO4IPVGGaZrmk+7Eiyg8PBz+/v4A0iJ2szJDE68BY5OMzaoOs5tlLJv2LVWVmiLmbbkbCLsk8y9WdbdDcRFvx0ERX7C8bnxbTceUR1VHC4mwjCH70lS1PSgxp7dRQvXlgEvFzUqyr1m2xp/3YxX33aWWI0CGfmocwp0tdzbby5oXZdkvVNbKzuoqJcNh+2V9eh2YKGsLtu2WhYNl2Ke546Y/VXGGz2RbKb6UfRlued0jgyz7a4iM39P9zifrmndK5n97qYyN12T54JS28jlRS6TlwRoRn9K7goGq7p9k3S3V+p/1kipv2aaN47NlmtlChEtVXT+pqpbp+TBeZVilqrfMB8Nfjamae3ryTe8mY70v0dtgVdX3fpbXDRbItrs1lnlzyZoxwMm812M+25V9TQ0Vr5PhAlV3o/9keo7SMj63QsZG3fj7YpZSY/6aKhum1tHU7DLDnAsiNGqotizblVlLtaWWY7ba5lq5ur8+rOIitpcr1BjWNT8X8XhDTjY1s1BL9UXvY19S+TdZ8ndReSfqfclMNS5jVWWZZGgsdzwu5l+W+tarshP6yTfyj5DxcVXXYtW3t1Tb12S6kcWWbkbqns0RURJD7mucnX6aOVRfxqkMTW0DZeCyw7qC1TrJodp2+cONdRtW26+ZTtb28nWZ/q/dcrdTfZmW4G6Yw1XPP5EnBwZ2OSw/TI3LQFMdVY9/LeMC8a8zZ2P4jWqr/2qVoZase4TK73Cf/JsMzT/UPF0vy+rl1ucpc1V6Mxf2Tc62f5cZ/WNfmt+NlEk9H+1HOGvtpdRy7VfLVV+l63MF86SaIfI0CK+rc6o3LK976DGsoOpqLUNMUvFQGRqNnex7sNIStZJljS4qs9ynNlLjsNDZfi55/MvSZ7JMGqPrmq7meVsn86GAivepOIXj4g75yNCsqvq2xknfLIdofb5tZFNl66iy6nPIIfU5pNgfai7q+WIVqtZHesf9NvRnQ/wo2zIXqPSaMhz4pu11fZW1kuO2l6m51kDPj39UgSoOq3ukzNlqnba0nDu0V2OeWhUeJMMfs8q4u1rue2pcfDercfFgHIqoutUZMtaqzxpolPC6u6m6J7h6nmLIc4nsmC7ic6blJKpgT1n0mNpGxqn15eKxRnyvBABtLa97vyfrxs+y7D1V1tfxOJhBtnfCbwH+LwNhYWHw8/NzpcsvrJjvJAPg/m2FdoNj/rzgL0GIiIiIiIiIiIiIiF4wvK0QERERERERERER0QskKdz7Ypi3FXq+8OIAERERERERERER0QvE3YsD9HzhHCAiIiIiIiIiIiJ6gXiDvxwgPnOAiIiIiIiIiIiI6IWS1IM/enQ2bdqE//77L0F59+3bh02bNnnUHtcnERERERERERER0QvEC+59MWwmdkdIqF69Ol599VVs3LjRad6ePXti8+bNiI6Odrs9/nKAiIiIiIiIiIiIiOgpYJoJvwTjSt648JcDRERERERERERERC8Q7///o2dXaGgokidP7lEdvDhARERERERERERE9AJx9/kBvK1Q4goPD8eNGzfEe/fu3UNwcHC8vwqIiIjAxo0bceDAAZQuXdqj9g3T098ekFvCw8Ph7+8PhIUBfn4e11fTkM8KX5tVrdYLjsunt5QPya4S76u4nAz9l8o4XE2pENW39qq6Ze1t+Yv8LvP+rvJW8JZ1H4qS+d9X+TcFyfzmTJnfGGBJT/mdSEuPj0QckkxVXlGGrTbIeL7KfkXFaVzZ9ArIsP8JuRwjVF3d1JhPaKLqs/Z9t0wyZt+Ub5xJJcIeuWXdHVTVATgi3zALIT55VD9PHVIZ5qi+DXY8t9L/qcqrdXanoe11CjVmY1RdfVW6OV2m32kn606p8ger+nJa0s2Bah5+Jcvabc8r1VypA8eM9DL+I9T2urVMMpFOvnHmuozVPMdy1dRrjufxgjDbsjTWedepvuyVy41uMmy2Vcbz6qt1tEqVt0xF45jjMcysxvyS2g8a52T57Cr/eQfbc3mVd5JKL7lEvdHAyb4hSNbXqphMnm2da+vUXKvh2SF/llqWVmq5fSzpen88vr1qe6prbeueT1d9aWfti9FfpG3ESBEXV3VlUO/Ux0ERL20g8xtL3B9Hs6Cap3NV3e1k3ff2y/w+er921/Y6hd4HZpNhjldlrOftUjWm9fW8/kemT7HU1/GuzNpH9bOE6lqncaruHjI8pvpS4BWZbgRayjdXlatjBwy5wzZDp8v0H1X2QWrfslj2ZZDlWDLMzK0aSyHDcUEyDpWh8YUH26ShRtU84FJxs7mai+dUhm9VXMHS1+1q31JBjVlVlb5JpesDNN6V+fGDTP7c9rLll7LuWWqeqqWyp+YDvKfJvs1QfW/uwjryUXFkwosCAA7LsHxRW192JPJHNn1e00cNyxjrvxG+KdOM+fJccRpSi1jvipY66bvTdeaC3mrfMdZfzb3Dav3Okek9etrSxzvptz4P1ceWy/pcUqUb6jwHP1mOXeYIh217zFBryWwRb1azuBqzg2q5aqk16KUq0P/M+L2Kc+6xvQ4qI9OKyn4adjt8JUTFGWRotw6swVmVN1cj+UbuRbLsGTUO69U4qfNec6hM7zTE9nqyqRpHM1mX0VJ1rheeFGd7olC1XeRS6Xes56loJRODZ8tY7xwGqHiG6s0atV+rLZPHWM6Zz6nPnTmdfJbL4eqxxgP6M5Hxkov7f+M7VWGvhLetq9IZfpPhrC7qs4Ge9+usBeQXRwYWJrhfToWHA/7+CAsLg18ifL/2Ioj5TrIp3PvlQBSAvwCOeSIZOnQovvjii9jYNE0YRsL2NKZpYvz48fjwww/dbp+/HCAiIiIiIiIiIiJ6gSSFexcH+F/miStNmjTIlct2OfXs2bPw8fFBlixZ4sxvGAaSJ0+OfPnyoUWLFnjnnXc8ap8XB4iIiIiIiIiIiIiIHrOePXuiZ8+esXGSJElQvnx5bNq06bG0z4sDRERERERERERERC8Qd5858CCxO0LClClTkDlz5sfWHi8OEBEREREREREREb1AeHHg6dS+vX5a66OV5LG2lkhOnTqFiRMnokuXLihdujSSJk0KwzAwbNiweMsMGTIEhmE4/Dt8+HC85YOCgtCmTRtkzZoVyZIlQ/78+dG3b1+7p0kTERERERERERERPc28PfijRyc8PBz79u3D+fPn7dLmz5+PevXqoXTp0ujUqRPOnTvncXsuXSCqUaOGxw1aGYaBtWvXulxu3LhxGDdunFtt5syZUzzkwSpFihRxvr9+/XrUr18fERERyJgxI4oXL47Dhw9jzJgxWLBgAQIDAx/rzz2IiIiIiIiIiIiI3OUF9345cD+xO0LC2LFj8eWXX2LixIno1KlT7Pu///47OnXqBNN8+Ejo/fv3Y+3atdi/fz/8/Pzcbs+lObBhwwYYhhHbCU8ZhuFWuQwZMqBBgwZ4+eWXUb58efz222/466+/ElS2U6dOGDJkSILbunnzJlq0aIGIiAj06NEDo0ePhre3N0JDQ9GwYUNs2bIFnTt3xtKlS91aFiIiIiIiIiIiIqLHyd3bCvHiwKO1evVqeHl5oXnz5uL9mO+zBwwYgIoVK2LcuHHYsGEDfvzxRwwYMMDt9lyeAyVKlMD48ePdbjDG//73Pxw8eNCtsoMGDRLx7NmzPe5PfH7++WdcvXoVRYsWxdixY+Hl5QUASJ8+PWbOnIn8+fNj2bJl2L17NwICAh5ZP4iIiIiIiIiIiIjo+XX69Glky5YNqVKlin1v9+7dOHPmDGrUqIGvv/4aAFC5cmVkz54df/311+O9OODv749q1aq53aC1nmfB/PnzAQAdOnSIvTAQI1euXKhVqxZWrFiBefPm8eIAERERERERERERPfXcfX4AH0j8aIWGhuKll14S723cuBGGYaBRo0ax76VPnx6FChXCmTNnPGrPpYsDpUqVQsGCBT1qMEaBAgVw69atRKnLFevXr8fBgwcRGhqKdOnS4eWXX0a7du2QJUsWu7zR0dHYtWsXgIdXY+JSuXJlrFixAtu3b3erP2Ht/eH3/1uiMcfB7ZqMEjI2D4hwbVZZ9puL8pZNA75Rde+WYRNrn9TzLk6qrgSslHXlgWwrLJ26XVRaGX50XcZ3f7flz6famq/iBVGy7k9V+iZ9y6uzMlz5pYzNGbb6DDWGoRd6idhf3QYrrI+sa/aGtiKehekiTvOarH+ypb5OTm7VVf6EbPubAjL9GzSSb7STofGlrN+cZqmvq8xrBqaWb0xRnflIhgW/VelmIRmGyr4bu2x9OT1c9ssoll7VFQpHTqg4fQYZGzXTxVufWUT2q4/5jYxVvxEowxSmfMMso5bTwTod8bV6Q11vXXtVlVXL5cwWXBNx2ja2vhXtrDJHqLZyq/V/UO6nK+tVNEQt90FZX6NJttd1/WTelVBtd5Nhyq0yvjNOzeMec2SGC6p8dmtmOHQZcvs1zk1zmP98BdWXv9Q4NLWl71BzoZSqy/xJzzUVV1KdLyovRB9RO3TrXDT2yLIl1X5sn5qLv6qdale1rzEmOh7ISMuyev4bQ9W2/EUlzA0yTm1ZtsbNZD+/mDtSxGvVOjFbqTHvohoPUclqHH9NaXv91W2Zd+AQGRvHVNtvqLb3y43MV/W1vmp7aXdL3c1l3o0q7zlVV0+VXn8elDsyVNtoR0t9jVVdC1Vbo/WtJHs4bupjlbxZ7Q+EOQ7SANRVx+NSaj+2r6Eq0FeG58bIeJjlPMnAaZnYQYbm/9Ryl5Xjkl6NyyjVlfdVbN3GzNXyF7jObtaZXbWlDmuotFK9ofZzWGYrH9BAJpkNVOub1Dxfp/aR2VTdRWQYrPr6n+V1/eqqn1Udt62ZQ+R8wOBLMtY/bLY+cm2dw6phRsq6DNh/vnBYvog8gbOeS/ioMYl0cu5oHpf5U+qPcHtkOEbVZy09V2+/FVKJsN02x33Rc3Oyrk+1fciS/j9VNkLFgarsct34DRk2051RXR/fI/5lMVc6OdfzUfnDZf4g/b9x6rMB2o+It+3daszKhKkMV2RoFHBy4mO2iD9NLQci5UHQVJ87jDVO5qLjngDTLcvWdqKsG+rg74yTc2ZH+0lzv1q/udR+TH3vYrdcevK9ptoerEoMtr2cPE71TP5PIszD8rsGA7106w7dVvMn5QeWvvzoUlVOpc8r4zsn458BOQx5B4jzTj4DmY31GlTPfawly49V1Y211qXO/czPVd36g6amzokSdRz1rmCWi+XNXiK0HlNzOjl27Heyf9bnxK2c3nL83XheA+Z2tc1dlHVlV+v7nFlb5scqJ21TQvC2Qk8nHx8fXLsmv9fZtGkTAKBq1ari/eTJk+P2bfUh1EUuzYG9e/d61JjVlCn6G8fHI2YwY/z1118YMmQIfvzxR3To0EGknT59GlFRUQCAfPn019YQ7x87dsxhu/fu3cO9e/di4/DwcFe7TkREREREREREROQxXhx4OhUpUgS7du3C0aNHUahQIVy/fh2rV69G+vTpUaqU/HfDCxcuIFOmTB61l8Sj0s+QrFmz4tNPP8WOHTsQGhqKO3fuYMuWLahXrx4iIiLQqVMnLFmyRJS5ft32L+5p06bVVYr3rXnjMnz4cPj7+8f+5cyZ08MlIiIiIiIiIiIiInJdUthuLeTKnzsXFCjh2rRpA9M0UadOHfTt2xc1atRAREQE3nnnHZHvzJkzOH/+PAoXLuxRey/MxYH33nsPX331FcqVK4d06dIhefLkqFSpEpYtW4bGjRvDNE189NFHMC0/i7p7927sax8f/fvKh3x9fQEAERH6R67SJ598grCwsNi/4ODgRFgqIiIiIiIiIiIiItck9eCPHp0PP/wQTZo0wdmzZzF27Fj8999/ePnllzF48GCRb/r0h7fLrFWrlkfteXxxYPHixciXLx/GjBnjMN+YMWOQL18+LF9udyfIJ8owDHzzzcN7jZ84cQL79u2LTUuWLFns68jIyDjLx9wqKHny5A7b8fX1hZ+fn/gjIiIiIiIiIiIiIgIALy8vzJs3Dzt37sSsWbPwzz//IDAwEP7+8gFG+fLlw7fffotWrVp51J7HF3umTZuGM2fOoHHjxg7zNWzYEB9//DGmTZuGN954w9NmE1WhQoWQLl06XLt2DcePH0fp0qUByFsJXb9+HVmzZrUrG3M7ofhuO0RERERERERERET0NHH3VwD85cDjERAQgICAgHjTW7dunSjtePzLgT179iBTpkzxPrA3RoECBZA5c2bs3LnT0yYfCW9vbwBAdHR07Ht58uSJff/kyZNxlot5v2DBgo+4h0RERERERERERESec+d5AzF/9Pzw+GLPhQsX7J6UHJ+cOXPi4MGDnjaZ6EJCQnDlyhUAQI4cOWLfT5o0KQICArB9+3Zs2bIFlStXtiu7ZcsWAECFChUeT2eJiIiIiIiIiIiIPOAF974Y9krsjlC8Ll68iH379uHatWuIioqKN1+7du3cbsPjiwMpU6bE1atXE5Q3JCQk9gG+T5OxY8fCNE34+/ujfPnyIq1JkybYvn07pk6dij59+sDLy7YJnD17FmvWrAEANG3a9LH2mYiIiIiIiIiIiMgdvK3Q0+vw4cPo3r07NmzY4DCfaZowDOPJXhwoWbIkNm3ahJ07d6JcuXLx5tu5cydOnz6NKlWqeNqkyw4ePIgJEyage/fuKF68eOz7d+/exdixYzFixAgAQP/+/eHj4yPKvv/++xg1ahSCgoLQu3dvjB49Gt7e3ggNDUXr1q0RHR2NevXqoWzZsm71zf9oGOD1/w8nTmN737xpiHydVLkpHWS85aLMX2mpTG/RQKbnNU0RT1xli39tJvOWKQ4pUIa/GSo9tQyNszflG2YqGX5sq8BIL/tV9xNZ+YeqqXfhRC4ZjlLJaU9Z2oJs64parhaqbOM31Rv5p4mwVYiMx63X69T2NPHbhkxbpapu9JuM86oFP42FIjb3yfoa5Zaxcds2zmZltaB1ZZhyiIxvfybj495ynWmVM8jY/MzWnv+XMi1siSo8QPX7G9lWNpV9RE31hhkqwzcs9S3WPR0mQ/2IEX1nsdmVZLznbRkb/VV9I2Jf6kuJA+rIuL+aDyPU9mpWUOusj6rQDJPxNstDayrqa/xqcjW6JUIjXLadR20nC4fI4mtUumHZt0BPFUO1ZTqeS2XUuEA/172DLH/7rGXfEiKzmoVUP520bWebfqO7rP9XW/3n3pM5c+aXbRkn0on4F1xTdcu+dlVzcbfZUOVeaAu6ybz7XpZx0KdwaP9x9YbTne6jM3CuWv9z5Dg2tobGUZG21sn6nT1bxhVVrM9czv2r3ihvq39gczW3OjqZW8s/Vm+MdJh9mV6Wcbb2zEDZdqRd6UayqN24ZBeRgRQyeZ/aF1W1tbfQyRj3VemT1fas9kTYquJQR/X3laF52/H2bXqp9IWqbuNPEea4q5J94+9L8O+y7gG/y/RransOMXPLDB+eEWGnH+Jvy6gl046pMS04TqafV+OgjmJ2Lqv6MpsrYl/vbva6zCx350BTNcb/qeVQ+xZDtZUT8Z87mstk3gwN4NBufex4oNrWZ136vHedpRt6uf5S+3NkcdwZxWyk+rawl0z/3JL+i8y6Ui3X62r93lF3PL3tZHvHKdWXvLb8zVw9Rip6HQQ4qe8ty+tj+pymuXwQ38uq7h1O6p6n0kuq8vst6eZVfY6s9xUlZGwekMn6xMculJ9sDPwQR48fcjZmdudEnrA7eKQXUXdjkUqXx1xzSmGZrA4l6pQJuGpbNv2x0hm7U0t9MFHnLSbkAxsvG7YDvgF5PmbuV70p4Xgd+I5Wb6gPninUXLtjWadGT9e2sfIuzvuULmzD+nx7j6n3c5KJPDL9pDrmpnOwVnfL0Mgo5xpWys9yxtv9ZN3mCDhkqPosnw2NWbKfNdVyr0mu6hos0031WVFv7+Ycdbxo7sI6nuXZPlfLYd2vfa7Wh/oI6+ww1lF9P/PDJzLdbq5VsnweC1RpFRwvpz5vQXG1DiJtcfgDQB4dKKHcvUVQtPMs5IHg4GC8+uqrCA0NRZUqVXD06FFcvXoVrVu3RnBwMIKCgnD16lUkT54cTZo0QdKknn297/EzB1q3bg3TNNGmTZt478t/6tQptGnTBoZhJMrDErZs2YIMGTLE/s3+/0/1w4cPF+8HBwcDAKKiovDTTz+hRIkSyJQpE8qVK4dy5cohffr0GDhwIB48eIDOnTtjwIABdm35+flh9uzZSJYsGcaPH4/s2bOjXLlyyJUrF7Zs2YI8efJg8uTJHi8TEREREREREREREb24hg8fjtDQUHz99dfYtGlT7HNup0+fjg0bNuD8+fP4+eef4e3tjYsXL2LixIketefxLwc6deqE33//HYGBgShRogSaNGmCChUqIE2aNLhx4wa2bduGhQsXIiIiApUqVUKXLl08bRJRUVEIDQ21e//OnTu4c+dObHz//n0ADx8s/OWXXyIwMBCHDx/GkSNHEBkZiUyZMuGNN97Au+++i7p169rVF6NmzZrYuXMnhg0bhnXr1mH//v3Inj07GjdujEGDBiFt2rQeLxMRERERERERERHR48DbCj2dVq1ahVSpUuGjjz6KMz1p0qTo2rUrcuXKhTfeeAMjRozAwIED3W7P4/Xp5eWFpUuXomPHjli0aBFmzpyJWbNmxaab//9ToMaNG2PSpEninv3uql69emy9CZEmTRoMGjTIozaLFy8ulouIiIiIiIiIiIjoWZQU7t1WKP7H4lJiOH/+PAoVKhT73N6Y79Lv3bsnnuX7+uuvI0+ePJg5c+aTvTgAPPzyfcGCBdi5cycWLVqEoKAghIeHI3Xq1ChevDgaNWqEgICAxGiKiIiIiIiIiIiIiDzAXw48nVKkSCGeI+Dv//CpGufPn0e+fPlE3jRp0uDIkSMetZeo6zPmXv5ERERERERERERE9HTixYGnU86cOXHhwoXYuFixYli6dCnWrFmDrl27xr4fEhKCI0eOiF8TuMPjBxITERERERERERER0bPD24M/enSqVKmCq1ev4tKlSwCAt99+G6Zpom/fvvjtt99w8OBBrFu3Dm+99Rbu3r2LmjVretReol0cuHfvHn7//Xe0bt0a5cqVQ+HChVGuXDm0bt0aU6dOxd27dxOrKSIiIiIiIiIiIiKi50rDhg1hGAaWLl0KAChbtiw++OAD3Lp1C++99x5KlSqF2rVrY9u2bUibNi2GDx/uUXuJ8kuQwMBAvPPOOzhz5ozdg4J3796NP//8E0OHDsWMGTNQuXLlxGiSiIiIiIiIiIiIiNzgBfe+GPZK7I6QULt2bURFycc+T5gwARUqVMDMmTNx+vRpJE+eHFWqVEG/fv2QM2dOj9rz+OLAwYMHUbt2bURERCBLlix49913UbRoUWTOnBlXrlxBUFAQJk2ahDNnzqBOnTrYvn07SpQo4WmzREREREREREREROQGPnPg2dKuXTu0a9cu0es1TP2v/i5q3LgxFi1ahHfeeQeTJk2Ct7f9naeioqLw7rvvYvr06WjUqBHmz5/vSZPPhfDw8IdPmw4LA/z8nBcwaovwNtaIuInKnlzFC9apN9RaH2O5PVVf3BRpIUgt4gx6ysyU4aE2hoj1I6qvq9inju11klUyTV9G2ldAxs2Oy3ie6ntN1fcTqr5TL9leh+6VaelfVZmbynBMLxnrH/GEqnEye8pxwRbbS2Onk83wsAzNUrKu/fKCIkpuU+Wry3CP5S5fb6qs59R+xpjWVsaYLvviZBdSxJB9td5gTK4dYN+X6o1A1Zdysq0VX8q696riH6vYC8VtgXlApN1T/fT5XrX9oWw7hcq/U7VV9FMZV/va9nqTHjPjqAirorCIdf4yqu3Fqu0cP8q4VTfb61k9VOaLKp6jOr7saxlnkeFatYHXNGXjXxm2xgfpbSKj2iYCZNhJ7Q82q64eU/uD8Wp/YB3F13Xb91TbHWRozHI8rweqdTDsI1V+rK28uU61VUOO8TxDjnEzJ9uUXepMVX9dSz/Se3SId9lky7h08uz0wmXZLW2fd7FtQ61PvV8zC6oxHqoq6GB7uUftjwNUXW1VW9MnyvRpXWR6O2fzYZIl/x6V+IOTcagk2zICH98681Hj8IdKb+av+nLD/bbMuWr9lVYZvpDhftWZkuq01Zhk6dtS9/sFAPhchmZutU46y3EIsYybPh8LVmOqz8gzm0tU2+oMYLkqIA/3MFpY9mv7VN7tqt8VXJtLJtKJ+I4hzxZnWF6/t1ltnyNk20XVOjmstjHz3X6q9UsiMjDNcWddYfQXYVuMFPE0s6jMPydIFm9u67s+77itjufGOLWcavuGOk6hooqPqfpq2Oo7pdrO6+I+1vxAzY+fv5XpZiqZjnfjrwvB6h39n3KtVDhb1u3k+N7Nsqw/quXU57SH9Th0kyHU+dijZBZR61vtW4zWCV9nens0zl6TGXJvkvnNqo4rnKr6Nk6l77F91nC2/elz4N0NZPpatf3XDFEVtFbxn7aXs9PKpJZq/RrjZbrZo6yqbJeIglRfi3lwXmTWVduQ2t5RxMUKje8slfdymLWLWo4LKn2Zk+Vaqso3aGY5lqjzK6O82o810rVlVvFlh20PUW0PddBXu74ce3znRKa/bPvlcJn+b0kZG/tk335Ry/mePo/93JLeUNX1ilrOSCd9XajGqZH745Re9TtEbYPIJMMkR1RfrMsZHg74+yMsLAx+Cfl+jWK/k1wOIKUb5W8DeAPgmD8inTp1gpeXFyZMmAAfH59H3p7HzxzYtGkT/Pz88Ouvv8Z5YQAAvL298csvv8DPzw8bNmzwtEkiIiIiIiIiIiIiclNSD/7o0ZkxYwZ27tz5WC4MAIlwcSAyMhKFCxdGsmTJHOZLliwZChcubHfPJCIiIiIiIiIiIiJ6fGKeOeDqH5858Ghlz579sbbn8cWBokWL4ty5cwnKGxwcjOLFizvPSERERERERERERET0Aqlfvz4OHjyIixf1faAfDY8vDvTq1QsXL17EuHH65oHS+PHjcenSJfTq1cvTJomIiIiIiIiIiIjITd4e/NGjM2TIEGTLlg3NmzfH5cuOn6+SGDy+TVTr1q1x/vx59O/fHxs3bkS3bt1QtGhRZMqUCVevXkVQUBB+/PFHLFu2DCNHjkTLli0To99ERERERERERERE5AZ3nx/wpJ85cPfuXYwcORKzZ8/GqVOnkCpVKlSqVAmffPIJKlas6FadDx48wA8//IApU6bg6NGj8PX1RUBAAPr06YN69erFWaZ69erYuHFjvHVmzpwZly5dcrkvP/74Ixo0aIBffvkFefPmRa1atVC0aFGkTBn346MNw8Bnn33mcjsxPF6fXl62O00tWrQIixYtijdv//790b9/f7v3DcNAdHS0p10hIiIiIiIiIiIiIieexYsDt2/fRrVq1bBr1y74+PigePHiuHLlChYvXoxly5ZhxowZLv9j+v3799GwYUMsW7YMSZIkQYkSJXDz5k2sXbsWa9euxahRo9C3b994y5coUQL+/v5276dPn97l5QMe/nLAMAyYpon79+9j6dKlWLp0qV2+mDxP/OKAaZqeVpEodRARERERERERERGRc0nh3i2CnuTFgT59+mDXrl0oUqQIVqxYgdy5c+PBgwcYPXo0+vfvj06dOqFy5crImTNnguscNWoUli1bhsyZM2PlypUoXbo0AGDmzJlo27Yt+vXrh2rVqqF8+fJxlv/+++9RvXr1xFg8AMDgwYMTra6E8Hh9PnjwIDH6QURERERERERERESPwbP2y4GLFy9i0qRJAIDJkycjd+7cAIAkSZKgX79+WLNmDVavXo3Ro0c7fTZujMjISIwcORIA8O2338ZeGAAe3kp/w4YNmDhxIoYNG+bwbjmJ6XFfHPD4gcRERERERERERERERI/K4sWLER0djaJFi+KVV16xS+/cuTMAYN68eQmuc/369bh+/Tr8/Pzw9ttvx1vnypUrcfPmTTd7/nQzTN7T54kIDw9/eD+qsDDAzw8AUMQwYtMPL1CrpZGLDRSQ4eAThoiHOljtlQyZ92OVnlvFAZ+pur6U99SagGsiTq7KZ7K8bqD6ZVaSffl1qyz7HtKJeLRqKxOktrlkfPys7XWBDSrzZhWnUHFGGQ5pJ+Ohf6hxaS3DXyzjLJcCqK1i/7KqrV0qzq4KdJLhV1/KeOCrlkA97uO4GuMCZkkRG8ZLMoM5DY5UVfNp43JLoPfl11U8RsVrZDjviIybubLdqG2km9pGfnSyazSLy/x9Dsn0wip/119sr408qu46DptyqqQa45dU+nQXdvMmDop4oVFCxI3WqQJ1ZWhAbcP/2vpmvORkTBfK5bDb5pqptsJUfdlkePuirT59970xIeoNvb0vl6Hxq5O+15J9H7PW9rrPvypzlAxnV5ZxK70f1I2lk21tUttN1fuWIEkvVXimiAxc1rU7dE/NNV89twzbc4VMv5EySa+vx6iH6vf4ZqovcxyXT6/Kh+yW6UYZB8tmbBLhDVQTcRo1hm+rtuaaRWV964NEGFDD9nr3MdV2PhUnkW3tV22VUn3R5wOBDvYlZnOZ15jziNf3YcvrIo6z9lbLMWa1TDdq6W3uJ5lhTTcZ/2Apu1CWTaHauqO35zdlejV169CN38k4Sy8ZX7L+W8/9CiLNwDaZ+Y4MF6SUbX8tk/Gv3g70duJIe7X+f3dx/atjDdofkPFUB2X1/jyD46ZMpJZvVLglu7Jd9r2lZZ02VXU1U+u3i1r/v5pqOV6Ty9l4g0xeqLcx69QLkEnmt+qYedDJmDdV+fep9Ndk6Oy45wnzjOqL+nc1I6eDfY2zytepuVjDyfEb4+UbyXvaykbIsnnU+j2tt+/equ2x+hip7jtshsrQ0vcMNWXWcjLEiu9V1Q9UX3rAseGqr5/YypvbVFpFWXdNNQ5rTPVBA4Mct71GrX/r5xJfORGNO/LE07ys+pZX779/E/Emo4uIq8oQcGmeyx12QeNNER9/hF+rmF3Vcqt+11XrZOUz8hWPmUPNhXO63/VFZBhnRJxZfW659KMqfk6GIywHvgHOPuthoGz7t69k+ruqQE+1jsY52I9FquVWpx1GT8efBVRpu/PccSdUBst3B4Y6tutz3N9VUbvvZ8qo5dyj0m+o9DQOxqGIWpLDKm+gqutrlV7F8vpuODDUH2FhYfD7/+/XyLGY7yQPAfrMKEFuAigGPPYx79ixI6ZOnYp3330XEydOtEs/d+5c7O2Ezp49m6BbCw0dOhRDhgxBrVq1sHr1arv06OhopE6dGnfv3sWmTZvw6qu2A1fMA4lbtGiBW7du4e7du8iaNStee+01tG7dGsmSJXNrOb28vFClShWHDzuO8dprr2Hz5s0ePcuXvxwgIiIiIiIiIiIieoF4e/AHPLzIYP27d+/eI+3vsWMP/xsqXz79X1APZc+eHT4+PiKvp3UmTZo09iJDfHX++eefWLZsGdauXYsZM2agc+fOKFSoEHbu3JmgPmimabr0fF5P/++fFweIiIiIiIiIiIiIXiBJPfgDgJw5c8Lf3z/2b/jw4Y+0v9evP/zZfNq0aeNMNwwDadKkEXk9rdOapussVaoUxo8fj0OHDuH27du4du0a5s+fjyJFiiA4OBh169bFmTNn4qoy0dy+fRve3u48VtrG5WdIeHl5edSgYRge/dSBiIiIiIiIiIiIiNznBfceLhzzzXBwcLC4rZCvr29idCted+/eBYDYXwfEJaYPERERj7zO8ePl7QlTpEiBxo0bo3r16ihbtixOnTqFL774IvYhyontyJEjOHDgALJn1/cad43Lc8DTnyrwEQdERERERERERERET471FkGulgMAPz+/BD9zoF+/fli8eLHLbU2ZMiX24cMx9/CPjIyMN3/MrY2SJ9dPPI3bo6gzbdq0GDBgAN577z0sXLgQv/32GwxDPzHEZty4cRg3bpx4b+fOnfHe6gh4eKHiypUrAICGDRsmqF/xcecCEQzDQOHChdG2bVs0adIEqVKl8qgTRERERERERERERPT8uXDhAo4cOeJyudu3b8e+ju/2PjFM08SNGzdEXmec1WlNS2idAGIvaFy7dg3Xrl1D+vTp481748YNnD59OjY2DAN3794V78UlderUaNasGYYNG5bgfsXF5YsD3377Lf744w/s3LkTgwYNwldffYXGjRujbdu2qFWrFpIk4WMMiIiIiIiIiIiIiJ5W1ucHuFrOVTNmzMCMGTPcKGlTsGBBbNmyBSdPnowz/fz587G/AChYsGCC6wQQb53R0dE4e/asS3UCEM8BcHZ7/V69eqFDhw4AHl7gyJcvH8qXL485c+bEmd8wDCRPnhwZM2ZMcH8ccXl99uzZEz179sTRo0cxbdo0zJw5E3/88QdmzpyJTJkyoXXr1mjTpg0CAgISpYNERERERERERERElHge58WBxFChQgVMnToVW7ZsiTM95v1s2bIhZ86cCa4TAP79919ERUXZPdx3165duHfvHnx8fPDSSy8luK8HDx4E8PC2RY5+NQAg9oHOMdq3b4/ChQsjd+7cCW7PE27/m3+hQoUwbNgwnDx5Eps2bULnzp1x7949fPvttyhfvjyKFy+OESNGIDg4ODH7S0REREREREREREQeSGIASZK48Rf/7fMfqbfeegtJkyZFUFAQtm7dapce8+Dfpk2bJrjO1157DWnTpkV4eDjmzZsXb51169ZF6tSpE1TngwcP8N133wEAqlevjqRJXbucMmXKFAwYMMClMp4wzER8QnBkZCSWLFmC6dOnY8WKFYiKioJhGHj//ffxww8/JFYzz4Xw8PCHV4XCwoCYh3d0sGSY6lp9XdSDLSaq1dpDpY93tNqzydBcJMsa5V2cMiEqzqDiGpbX65zU9bkMzXGybz+Gy/Tuajlvq3FIudKW3rGuTJuiyp5SZfM62XRWqPz6OenLLa/1+tJtqVUCn69l/OunMu5aR8ZrV8nYujUu0JcI1YXJsFMyzqSyR6q+L1V9b6DSzaOW9ELyF0ZfGbtFPAgbZWNmVRnelm2Fqsef6EfddLpq64u5VJY911Hmzelk/dZVy7lyosx/rItML2ipzxwm03w/k3VHXlVt621G2aL6UtmF3XqwKpvje5VhjerbIhn7lFT59+m2bT+DS2m0ECl31Jj1VmM25kdV1RIZGn/XErH5QHV2vO1l414yaSFmy7bRUsRj/1DzdpA6+znpJfsC9TPBbraXK36SZV93tn6MW7LtB+oEpJcMh4yX8VDrXENnmThpsmzq3bYy3ZzmuG9OmAVtyzriuExrofLmMWXbBlxrW2+D1t1cIp7aPKzvH7X+L8vQaBp/e+ZiWbaPelbUWNVXP7VcYdVl/ukbZNzOWr6vTBs8RtY1RJU1qsm2t6u29Y9fHe1bWqqys/GtzGD2iresW6znA184znpI9a3oSpVBPVfMeFVt/5dl+cgsttdXVFU5Dqi6Uqu6cs0U8RSjjYg75pLlU56V8R3LvstcIvdbX70p8w5U68tYKNO3NJbLVcnZdtPIkn+h47zOPi+af6lzy/6qPrX/eJTGqfnR08E4XFJ5s+hznF1qydvJ8PVDMl7ZR5Zfo7bZmpb6q6m2N+m21b4mQO1r9jjb16jjO97yjX1p4C4Sk90Ip1Pj1sHyeqFMClTnpcVVVWlc3f+XUvE+28veaozG7pJ1dykr038Nk1UZfmodzVbL2fI9mb/vz7GvfdRcuKfWp+FkG7RLnaPabqLSW1teq9MOY5Jnx1Tzhmo7zWsqh4MPgB+osj856Yu/zF9KfTbcp+ZHmGUdO5s7+nOn0TNxzzUc6a/m4ohEPs8RjD9lbOozOM+Yxy3L0kYlbtfLpW7f8bk6OHyh8geq+aLOixD4hiWQ/8RqWDd+ALPUmLfU+8h0Kq6i+rIj/u9Q7LcJdbyGY6b63sJY6Xg+hFiWJYOLc8csp3qzU5evL8Nxy0Vo3U46qjHV37fsU+mFVUu+uu+/WV5HhAM9/BEWFpbgh+O+6GK+kwxLCvi58UV/uAn4R+OJjHnXrl0xceJEFClSBCtWrEDu3LlhmiZGjx6Nfv36IVmyZDhy5Ahy5ZIn1lWqVMG5c+cwevRovP322yLt66+/xsCBA5ElSxasWLECpUuXBgDMnDkTbdu2hWma2Lp1a+yvDABg+vTpuHDhAjp06IDMmTPHvn/58mX06NEDc+bMQZIkSbBx40ZUqVLlEY6I5xL1lyA+Pj5o2rQpmjZtis2bN6Nt27Y4e/Ysjh49mpjNEBEREREREREREZG7vOD8ilRcTNj/J9FjMmbMGOzcuRN79uxBoUKFULx4cVy5cgXnz5+Hl5cXfvvtN7sLAwBw7tw5nDlzBrdu3bJL69evHzZv3owVK1YgICAAJUqUwK1bt2KfQzB8+HBxYQAAQkNDMWDAAAwYMAB58uRBpkyZcOfOHQQFBeH+/fvw9vbGjz/+6PaFgaioKEyZMgV///03Tp48iVu3bsX7T3CGYeDEiRNutQMk8sWBy5cvY9asWZg+fTr27t0L0zSRKlWqp/4KCRERERERERERERE9vVKnTo0tW7Zg5MiRmDVrFg4dOoRUqVLhzTffxCeffIJXXnnF5TqTJk2KpUuX4ocffsCUKVNw7NgxeHt7o0aNGujduzfq169vV6ZOnTro27cvtm3bhtOnT+O///6Dl5cXChQogNdeew3/+9//UKxYMbeWMSQkBDVq1MDBgwcT9Kt4w3DnCo+NxxcHIiIisGDBAkyfPh1r165FdHQ0vLy8UKdOHbRt2xaNGzdG8uTJnVdERERERERERERERI+eJ78ceIKSJ0+OwYMHY/DgwQkuc/r0aYfpXl5e6NmzJ3r27Jmg+ooVK4ZRo0YluH1XDBgwAAcOHECOHDnQr18/lC9fHpkyZUKSJG4/Otghty4OmKaJNWvWYMaMGViwYAFu374N0zRRpkwZtG3bFq1atRL3WyIiIiIiIiIiIiKip8QzenHgebd06VJ4e3tj3bp1KFCgwCNvz+WLAx9//DFmzpyJS5cuwTRN5MyZEx9++CHatm2LokWLPoo+EhEREREREREREVFi4cWBp1JYWBgKFy78WC4MAG5cHBgzZgwMw0DhwoXxzjvvoFq1ajAMA9evX0dgYGCC6qhUqZLLHSUiIiIiIiIiIiKiRJDk//9c9SCxO0JWBQoUQGRk5GNrz+1nDhw5cgSfffaZy+UMw0B09BN6pDURERERERERERHRiy4peHHgKfTuu++id+/e2LVrF8qWLfvI23P54kCuXLk8fgoyERERERERERERERHZ9OjRAzt27ECjRo3www8/oGHDho+0PZcvDjh7ujMRERERERERERERPcW84N4vB/g/449UzZo1AQBXrlxBkyZNkDZtWuTPnx8pU6aMM79hGFi7dq3b7RmmafIxEk9AeHg4/P39URAPt0UAOGxdFYdVgQwyNDLKLdH0l6txaZhM/0tVN+U1tdqL2F76/STLhuspYnwn4wW9ZNwIjvmo2IPbaK1Qv2J5PSj+5QIA7JahWddWfmGITGuslruRamuht2or6k9Zd9qWMj2f6st028tOxWTSqyprx50y/rWcjN+zW0dHZV+WFJbpeSyvu8qkf7fKuMJKVXcdODRZjVPHX1SGg5bXv8okI0K2dUzVVWCeqmucirOreLOq/yVb/WYvdTRbo/L+q5b7H1W3nrdGehGar16TyZsc7GobyNBnmeybWnvYr9a3WU7mN3bdlAVeS2V7vU5VtkrFav2ao9Q4/afyX1Xx+zI0Glv6qublLLVkrVVV5i61nNtVXz5QYzpUjcPg+Me8rppbK/rKdGOU3qbaifCedQMG4POyyr494YdWs5Zark9VhtQqLq/qfk2Pi+3lry1kUteaMl6pzh/qzldtBai4oooX675ZCkyXO9zTcgiRJ6+MjZNOxsyoLUKzrNxojZ0ujHlPNVfGOS5rTldjPFllGGB5XVfW9aOaa92dnXYZt0R4T00AX1Xex1L/J6qqoS6e4pllZF8D9sr0PXrfY8lv7FHnIWq569dTjS2XE32Z8bXMrw6EpdT+/F3L655q/ZVX63e1atpf/wzaKCrjf4JEOEL1xRp+rKoaruJqTtaBnovYo7r2hiw/8BNb/mEnVWV5VVu/qnneVa2/HTL9R7Uf66b7PtWSP7Nqu7sMh5xS8QmVX5U3Um2Ub5hV8aiY6hwaE1RfmqvlPmt5nUsmZVbz/JI6n8N+FSdRO9l9TWTbpeKfL3NVW82czK2aKn9xlT5Olx+r5ktv9z8i6nPmBWYvmaH4dzLW5+t/WcYpnRwjXFP9qqv6rc5bC6i+HJO7GhifqPq62V6WUZ+Jds9R/XxXxXqQ5akhjCWyrR6qb+Mt68T8W83TKFVXw34iNk19sjAIjv0kw78sC65OI5FDtV3LydyooWJ97qlZzsHM0TqxmYrnOqnMMZe+y/pGhmYDVfq4qjtAjUtzVd82Vxp/fCqpeRjo7NzhrIpzxZkrlq7tnKW9HPou1eo7ELsxHQCVQX7+hqlOfGeq/JYPG073cPvU+g5V6fr7FGes5/trPPwKrpXa781ycq6BdLZgx3VZVn+ucEKfK0Kd/zVQ82mp+Vrsa19jvUiLVHPN7piq0jOo9FBreng44O+PsLAw+Pn5xb8AFCvmO8mwHICfGxcHwh8A/ufAMX9EkiRxbaUYhoH79++73Z7bzxwgIiIiIiIiIiIiomcQfznwVFq/fr3zTInIpYsDX3zxBXLlyoUOHTp43PDUqVNx9uxZfP755x7XRUREREREREREREQJxIsDT6Vq1ao91vZcmgJDhgzB5Mn6t/TumTRpEoYOHZoodRERERERERERERFRAiXBwwsErv65c0GBnlq8rRARERERERERERER0VPk9u3b2LJlC44ePYqbN28iderUKFSoECpXrhzvA4pd5fLFgZ07dyJfPv1kVdddunTJ4zqIiIiIiIiIiIiIyEUxvwSgp05kZCQGDx6MCRMm4Pbt23bpKVOmxP/+9z8MHjwYPj4+HrXl8sWBu3fv4vTp0x41GsMweJMqIiIiIiIiIiIioseKFweeSvfv38dbb72F1atXwzRN5MiRA0WKFEHmzJlx+fJlHD58GOfOncM333yDXbt2YdmyZfDycn9FunRx4NSpU243RERERERERERERERPAV4ceCr98ssvWLVqFTJnzozvv/8eTZs2Ff9gb5om/vrrL/Ts2ROrV6/Gr7/+ig8++MDt9ly6OJA7d263GyIiIiIiIiIiIiKipwAvDjyVpk2bBsMwsGzZMgQEBNilG4aBt99+G/ny5UO5cuXw+++/e3RxwDBN0/Skw+Se8PBw+Pv7AxPDgBR+D99sbcnQXBWYo+ICKj6xSYS7UU3EAa/J1Tx3vbyl0wnL6wGeTomKKt5eW8bmahGmt1z9CtVt91V1vSvDS0XlcpxR2Q+qeLGD6v5SaXoxPlZxuO6rcVTlaCKiwao3Qx2MszlH3XJLddyYIcuatWT+ymtl/i0vqQasc229TOr5t4zHL5BtFWks2zqs5ha+UG1VUbGRPvblMFwTSQOPqbynVV/UVEqtsnfaLPsy+VXZ104lbem998u0sfhWVmb2givMImqdnVMZLI9qMfYl7m7XnKTaVtdxjVuW9hqpwg1UXUdUXcdKqrr3y7rPqGVJo+q7Md4W3Ogp0iLTyry+42RdlXrKvgTipqx7iZoBDVRfxtrKG71l2kZ1W7uqf8iixiq1ja2U+Y3Gqq0fES89pkZhVXcZNearVAX3ZTgiq4z7z1L537O01VP1c6EMQ9R2kL6LTDd+VeX1rQwjZdjDMq7jPTyWmGf0vN4j48tlRGhktrTn7BiqdFTzYYqTvg9W+Yda9z0dZN7yJ2TeHS6Oi4ns8o3bF2Rs2YePeVMm9XXW1ngZblTbXNUsKv9sFVdrGfuyqyETJzpp2/xYrd/GMmxQWcZLM8i4XYjt9bRkMs3wVec8YbKtt011MHlTnpfo4yK2q7ic5bXa1xvpnWzfb6i6DqvyfzketwKWuXdMj3Fv1VZVVVhvF6lUfE3Wd1nN88yW9pzeGFQtl1lkpnyjeBsRGofU5DJbOGvBUvhPER5DSxF/r7Lr+MESGRdV21GQdZyHqf35ICfzPEiNlNrmjJ9k+XtqzH0sx8nu12XZH51tY3ru6f13Hxl2V0PurH6HbW9W4xSs6moNhypZxsHu2G+qiTtVLWcH2ZYnN7G1O7cLk6Fx0cX9udrv2e0vuljS04+RedFb5nWpZQBopWJ98mA1UESNja9FvFDNDbvlGpV457mu11RDhufkDt3I4eDzl55Laj9WdISMh6vyjfuocRmtMkSocUr+6L6Gyaz2JR1U+gjLOlyq8jZI7K+HdsvQvGxr71d1THxPf65cp+oybqnK9IFMqqSWLdCybCY2qdxjVbxQRLNVXa2c7YN3qPVd3tq2q/Q3E3tlOOqebOtjB/M8h+xXlvMy/dJvqkDnNSLcb9QScUl9HqM+5/hZxk1/f2K6eEx1KDwc8PdHWFgY/Pz83K/nBRLznWRYWcDPjYsD4fcB/13gmD8i/v7+yJkzJw4cOOA0b4kSJXD27FmEh4e73V4St0sSEREREREREREREVGiuH//Pry9vROU19vbGw8ePPCoPV4cICIiIiIiIiIiInqRJIHt1kKu/PHb5Ecqf/78OHDgAE6fPu0w36lTp3DgwAHkz5/fo/a4OomIiIiIiIiIiIheJEk9+KNHplmzZrh//z4aNmyIffv2xZnnv//+Q6NGjfDgwQM0b67vH+oark4iIiIiIiIiIiKiF4m7DyTm02sfqd69e2POnDnYv38/ypQpgypVqqBYsWLIlCkTrly5gkOHDuGff/6BaZooVaoUevfu7bxSB3hxgIiIiIiIiIiIiOhFwosDT6UUKVJg3bp1eP/997FgwQJs3rwZmzdvhmEYMP//4d6GYaBp06b46aefkDx5co/a48UBIiIiIiIiIiIiohcJLw48tTJkyIB58+bh+PHjWL16NY4ePYpbt24hVapUKFSoEOrUqePxswZi8OIAEREREREREREREdFTpECBAihQoMAjbSNRLw4EBwdj8+bNOH/+PCIiIvD555/HpkVFRcE0Tfj4+CRmk0RERERERERERETkiiRw75cDDxK7I/QkJUmMSkJCQtCiRQvkzZsXbdu2xYABAzB06FCRp2PHjkiePDl27dqVGE0SERERERERERERkTu8PPijRPXmm28iXbp0GDt2bILyjxkzBunSpUPTpk09btswY55k4KabN2+iYsWKCAoKQs6cOVGrVi2sXr0a58+fx/3792PzbdiwATVq1MAnn3yCr776yuOOP+vCw8Ph7+8PHAgDUvs9fLOvJcMXqkARJxWGyNDMY4jYGCRXc6NPZPr3ltdNVNU7PJsi9g6ruOh3ttdmL5HkZ8h+hn8g+2KmlOkYNV/GreTSGLPUsmSzvL4gk4apttfLZKzV4/K5ylBFhmXqyvp2/2fpVym1XE3V+vtLpvdWfRuzQrX9kwyNRTdl/QVSx77ec1zmDUBbmdd7uqwr0vF8MP1V3yNU/gyWtIsy75eqroHtZGz87tpcLK/GaYd1/vyjMu9TsZFexmaow7ZCVFvp16oMgZaq1fZoplPz+G/VlQpqudPIsGaYLL9mqWq7firb6+hbMi2pnLh9DLnzGWN+KvPn+1qERU/J5KA5qu1FtpfGUrXc09RyN5bhr+q/EbpOUXVfU3HvP0V4zmgR+zqn2l71PJ0SLqvS+0H/wjJudUTGKhlDLe2Zf8u2qr0h8276TPZt1pcyf3FVd0kzTL7RyF+ExsL4txMTpeQbH++XZUepsuNVBT3irfqhVZbXdWRSerWN6J8uXnZ2rFHHDnOJmj+WZzAZH6q6VNkeRR33ZYy5Ub7RtJoI9T4ZHSyvF6p+tlf9zChD421Vl5PjvYlLsnyBLLa0+aqtVqrwjyquJts2Zqq2kqv61O4Dgyxlz6jlMDapyqrCFS3VfJlVT1X/t23L6IGDIm38RNmXql1kXRtNPRBZRGQYC2SyOc1Jb+NnrlNjWEPtPFBIhsvUMbS+++dgedQYDlfpQ1WsToMQ7mCbNFepfqZQedU5EO6o8vlV+YuP7sa13dQ4/OjBea1ZXK3Pg2ob0vnVOKGObnuvio+q+pq70j2HzFaqL+qc2FCfJazna+YeVbbMe7IsfpZtbVPrt5c6Bg9T6bVU+nZLut5B63PDg66tTzOVavuWLH/MMl8KmG/LvKvmysrq9leVj5CxOoaa5dQ4qu0CUbaXOdS5wmiVtaWnn8/UOoDl3NRuHqt5abffuqpKqM9Exk8ebHPHVd0FVF3han36OTg+A8BUF9oOknWvLCbTX1froL7a1yxzso7MCpb86kOQYbevUGXVsQL15XHNwAeOyxe0lJ+sEl/9WNU10mFddnX3Vuskk1qWAS5Upm86kUHF+sDlhGk9MRo7W6QZvdV+KKtaDvU5tLz6bK+/M0mh5sNt8zVLtE527E2Zt7H6LLfQyVw7K7Mjl4qXWsr7qrKR+jPSDrXc51V6o8Ey3UeeTdSNUtuNo3OJG2oeq+/AjLHqfE713br6HwA4CSAsLAx+fn7xtkk2Md9Jhr0B+Hm7UT4K8F/OMU8smzZtQvXq1fHyyy9j27ZtCS5XsWJF7NixA//88w9eeeUVt9v3+JcDI0eORFBQEJo2bYrDhw9j0qRJyJ07t12+qlWrInny5Fi/Xn/FSkRERERERERERESPDX858FSYMWMGDMMQt+dPiCFDhsA0TUyb5v4/MwGJcHFg3rx58PX1xW+//YbkyZPHmy9JkiQoUKAAzp7V1zVdd+rUKUycOBFdunRB6dKlkTRpUhiGgWHDhjktu3XrVjRs2BAZM2ZE8uTJUaxYMXz55Ze4e/euw3JBQUFo06YNsmbNimTJkiF//vzo27cvbty44fHyEBEREREREREREdGLZcuWLUiVKhXq1KnjPLNFrVq1kCpVKmzevNmj9j1+IPHp06dRqFChh7fIcSJFihQ4ckT/nNp148aNw7hx41wu98cff6B9+/a4f/8+smfPjpw5c+LAgQP4/PPPsWTJEmzYsAEpUqSwK7d+/XrUr18fERERyJgxI4oXL47Dhw9jzJgxWLBgAQIDA5E5c2aPl4uIiIiIiIiIiIjokXP3VwB8IHGiCg4ORt68eZE0qWtf0ydNmhR58+bFqVOnnGd2wONfDiRLlgw3b950nhHAxYsXE3QRwZkMGTKgQYMG+OKLL/D3338n6OELp0+fRufOnXH//n2MHDkSwcHB2L17N44dO4bChQtjx44d6Nevn125mzdvokWLFoiIiECPHj1w/vx57Nq1C2fPnkXlypVx8uRJdO7c2eNlIiIiIiIiIiIiInoseFuhp0JUVBR8fX3dKuvj44OoqCjnGR3w+OJA8eLFERwcjDNnzjjMt3fvXpw9exZly5b1tEkMGjQIS5YswWeffYbXX38dqVKlclpm1KhRuHfvHurUqYOPP/4Yxv8/zCR37tyYPPnhU3h+/fVXXL58WZT7+eefcfXqVRQtWhRjx46Ft/fDJ3WkT58eM2fORNKkSbFs2TLs3r3b4+UiIiIiIiIiIiIieuR4ceCpkCFDBgQHB7tV9ty5c8iQQT+x3TUeXxx45513cP/+fXTt2hV37tyJM8/169fRuXNnGIaBdu3aedqky0zTxIIFCwAgzv/yr1SpEooUKYKoqCgsWrRIpM2fPx8A0KFDB3h5ydmfK1cu1KpVC8DDZy8QERERERERERERPfWSwL0LAx5/m0xWL730Eq5cuYK9e/e6VG7Pnj24fPkySpcu7VH7Hq/OLl264NVXX8Xq1atRsmRJDBgwIPa/7ydPnozevXujcOHC2LNnD2rXro2WLVt62qTLzp49i4sXLwIAKleuHGeemPe3b98e+150dDR27drlcjkiIiIiIiIiIiKip1ZSD/4o0bz55pswTROffPJJgsvE5DcMAw0bNvSofY8vDnh5eWHp0qVo0aIFTp06hVGjRuH48eMwTRNdunTBd999h5CQEDRv3hx//fWXp8255dixYwAAX19fZMuWLc48+fLlE3mBh88piLlvU0x6QsoRERERERERERERETnSsWNH5M6dG6tWrULbtm1x+/Zth/lv376Ntm3bYtWqVciVKxc6dOjgUfuJcq0nderUmDVrFj799FMsWLAA+/fvR1hYGFKlSoVixYqhcePGifKsAXddv34dAJAmTZrYZw1oadOmFXn165j0hJSLy71793Dv3r3YODw8PAE9JyIiIiIiIiIiIkpk7j4/gM8cSFTe3t6YO3cuqlevjpkzZ2LVqlVo164dqlatirx58yJlypS4ffs2Tp06hY0bN2LGjBm4evUqkidPjjlz5sQ+H9ddifpDkJIlS6JkyZKJWWWiuHv3LoCHT3COT8xToSMiIuzKOSobV7m4DB8+HEOHDrVPyAnA7/9f17G8X8RhdfYayLCxushU9RN5UeQjVTxHMtvrOXdlWl79KAnVFtYlpIM2s4rGfYEGAFqhl4iTq/SrP6my6prTHaOJiFNONB135kL8SQPV72oGqvRl6kKT/vHPPvWrHmOX6ssaW3mzrqxr4aX4+wUAY8/IusakV+Pypipgyod297FkH4tvVd5eIjSMizK9oqp7mwz3qOteJSH7NspS3eumXI6X1Jgav6sxUz/8OXVR5s+r6tthOlj/v8WfBAAwQ0U4WvWtr6o7g25L7zIaWarOqtbXWpVXP99c7VbNH1V5NVdD1Taafs4tW9BM9XOPrGuMqR/wPlWGatyCZqvse1XcyfaywB9q/b4l+xLyQKZ3nS+r8pWbN+6ZE+UbPVuIMKdlbpfXF4bV9d6OPWRsd7Lzgwz1j/ZaqvU/5JqlvXpVRNqmkptl4S9k2OoLx/utHmpZxlWX6eZCS3qjt2Vi8/0iNObItszmhsN0zbyt8tex5Df+FGmhuCnLzkotK2uv6qqr+tZTpYf0U50ZEX9H1TF1vKN9A4D/qTHO853K0FzFc2wvu+i5dlDlXbNGhKY6FTtn3BdxzvaqrzOzyvLpba/HqFtN9jEDRdzMqCTieXoYWsvQOKzWwXG1bHIVS2ZVB4mAeUqtz7yyrdn+Mq7zt2rbPBD7crw+Lzkrw016fe9Vdb2klvMjtbPBNBn+ZStvNFV1L5ShMV6mt6wp256t+rZCLUtvdQwda8lfSc21QFXXqQeyLhiRImwF9z9E/FtXveHkdAspVFcuOiuQePRpSzk1bh+q9DsO9g/GQZnWUW/vumydz5307iUZfl5Gxl/onY2lqVpqG1rjeEyNWWqee8ny5v0CMr+P5VfRkaruxWq53/pZxmq/Z26bI99w8ry945aVVkCPqd6nKtnVOjmvyhu31DhsU8ti2SwMzJV56wyTef1GyroNeZJkqnNJXJWhkVH1xfL63GbVryp6/b4qwzP/yDiTyl5dxXJ3gFKfWdqz2wYKwaEjMgxQ08H8Sf+T4NciMmDboZhj1XL37q7KNpJl18m++jWW5cPyytKG2lmZOSz783NqudU+tO4rMrbb4lRX7T7x9lWxdS7XkeeK5jpVusansu76ru1DzaWqvmOJtw/Ooz+/OTnHMnfY8jd+WaYtV3nvqWOiscSzfhuYZetH7yyO816Mf/t8+MZUGW90Ng6WbTZC5V2qPlCZ8jON3bm/Xd36SCbP9zDbVj4Kjhnl1XJ765ms0iMzi7iZPiy+adnG1PrzVZ/HIp3MnY3fqb72tOQPDwf8/R2Wp3jw4sBTo1y5ctiwYUPsnXnGjh2LsWPHxpnXNE3kyZMHf/75J8qXL+9x2y/EIySSJXv4zXdkZGS8eWL+qz95ctvX0THlHJWNq1xcPvnkE4SFhcX+ufsUaiIiIiIiIiIiIiKPuPMwYncvKJBT5cqVQ1BQEH777TfUqlULKVOmhGmasX8pU6ZErVq18Ntvv+Hw4cOJcmEASISLA4sXL0a+fPkwZswYh/nGjBmDfPnyYflyfT340Yu59c+NGzdgxnM1Mua2QNbbB1lfx3fboLjKxcXX1xd+fn7ij4iIiIiIiIiIiOixSwL3Lgy8EP9q/mT4+PigU6dOWLlyJcLDw3Hjxg0EBwfjxo0bCA8Px8qVK9GpUyeHd8dxlcerc9q0aThz5gwaN27sMF/Dhg1x+vRpTJs2zWG+R6FgwYIAHv6X/4ULcd9H5uTJkyIvAOTJkyf2vk0x6QkpR0RERERERERERPTU4i8Hnnp+fn7Inj37I/0nc48vDuzZsweZMmVCvnz5HOYrUKAAMmfOjJ07d3rapMty5cqFLFke3lNuy5YtceaJeb9ChQqx7yVNmhQBAQEulyMiIiIiIiIiIiIiepp5fHHgwoULyJUrV4Ly5syZExcvXnSeMZEZhhH7y4ZJkybZpQcGBuLw4cPw9vbGW2+9JdKaNHn4ULqpU6fi/n35kMCzZ89izf8/WLBp06aPoutEREREREREREREiYu/HCAkwsWBlClT4urVqwnKGxISAl9fX0+bdMvHH38MHx8frFq1CqNGjYp99sCZM2fQqVMnAMC7774b+wuDGO+//z4yZMiAoKAg9O7dG1FRD5/vHhoaitatWyM6Ohr16tVD2bJlH+8CEREREREREREREbmDFwcIiXBxoGTJkjhz5ozT2wXt3LkTp0+fRokSJTxtElu2bEGGDBli/2bPng0AGD58uHg/ODg4tkzevHkxceJEJEmSBP369UPOnDkREBCAggUL4siRIyhbtixGjRpl15afnx9mz56NZMmSYfz48ciePTvKlSuHXLlyYcuWLciTJw8mT57s8TIRERERERERERERPRa8OEBIhIsDrVu3hmmaaNOmTbwP7T116hTatGkDwzDQunVrT5tEVFQUQkNDY//u3bsHALhz5454X98GqF27dti8eTMaNGiAiIgIHDp0CPny5cOQIUPwzz//IGXKlHG2V7NmTezcuRMtW7aEYRjYv38/MmfOjN69e2P37t12vzYgIiIiIiIiIiIiemrx4gABMMyY++u46f79+6hWrRoCAwORLFkyNGnSBBUqVECaNGlw48YNbNu2DQsXLkRERAQqVaqEjRs3wsuLsyg8PBz+/v5AWBgQxxOnixiGiPUTDTar+IiK/1OxvunRuWnqDet1lG9kUjNV+TwXp4z5jlwWZJLhoG9tr9ersoHesq2WUbKuaJXfrm8LZTiwsSxvfVrGG6ou3Zc6Ks5SQbW1TYZ51Do8pR/NccZSPlqNUQeVt5tqu7KMLztbJzVUvM72sozq5x7PdglO+Vjau6emvtFGtf2jDM0csq/GuUTs63gV91Bto5V8Y+xsGctrkcDHum+XLK/XyaRSbWRcSxX9nwyNvLLuX9Q6fEkVf7mLJfi1k0w05S+fhqhLxkPVPDfXq7kaIcPZ6WXc0iwa+3qMESTS+uq5VlGGepuC0V/2xRwh0z9W82OUB/OjlAzr75d1f6Sy1zSXyDeGv2l7/Ynqxxuqn8vVGP8q0yPfk8V9UVy+YR4QofX4cViPsY8My6t96g6Vf7uaWy+bAbKCSrtFaATayo9TZVPLkugEuQ0NRksR2829VGrc1jy6fZWZW83zEypDUnmgbGAMiH29tIvK+6vsZ2U1Llt0/jsyNGaocSgoy085bnvdSa/v5jLsNleWnfCqaiuL4zE1f1br4A1Lfr29OtFRjcMU1feSKn2fOoYalmOo6a/6FeZkbiyUoZlClm9QV6Yvw0YRd0S12Ne63zC+U5X3knGI6ksGFa+S4ay6sm8treOg1h8OyjBwr4wrqb6qWW7HnK7GtW3Ct7lgtf5yOju3UPMeKRLclL0OMlzxu+xL3Zdk+uy9Mm7loK+GWi5nH6NMvVL0/ltTxwfr+Z/RwMkY7lZxQJy5Ypkz1fptHX/95jXVr3oqgzr22x3X5qjyzT+V+fGViNtaxnnaPdWWj+NxMDrI2JxaTLV1yGF5UbaW6rez485mlf/ViTL+Qe3wP8wmwkDjQuzrSvKQaHeemXeujE/9q/LLxca8VDJ+W8/dQFvfjUouftaz2xmpT6pF1Fw7rOZHhKXt5E62qQ9UXT+5eC4ghxzmBdsZnYFvZZra/xorVb913b1V/rEyx321/0hueR3pbF8yW9Xd0sV1tFfNzZds5fWxwK7mripHXxkahdS47FJ9Xa3S37elr00r69LfaXRLptqKUHWtUX07pvJ/kPBx0usnif7sfkrFSWTdm1T5ag7WqVlcjdFBJ+v/NZl//waZXlK1tVb1pZY13dmxQq1fc/QllcHVf4y1fcAzXDxZNJFUxJGG3BH6WpcrPBzw90dYWBj84vh+jezFfCcZNgDwS+Y8v135u4D/N+CYPyeSOs/imJeXF5YuXYqOHTti0aJFmDlzJmbNmhWbHnPS3LhxY0yaNIkXBoiIiIiIiIiIiIiInjCPLw4AQJo0abBgwQLs3LkTixYtQlBQEMLDw5E6dWoUL14cjRo1QkCAk39fISIiIiIiIiIiIqJHz91bBPH/vh+pFi1aoGPHjqhbt67dL1cfhUS5OBCjXLlyKFeuXGJWSURERERERERERESJ6Rm9OHD37l2MHDkSs2fPxqlTp5AqVSpUqlQJn3zyCSpW1Pcrdm7Hjh3YvHkz/v33X2zfvh2nT58GAGzevBlVqlRxWn7GjBn48ccfcfDgQZimiRIlSqB79+5o06aN07JxmTt3LubNm4csWbKgbdu2aN++PYoWLeq8oJs8fiAxERERERERERERET1Dknrw94Tcvn0bVapUweDBg3HixAkULVoUvr6+WLx4MapUqYLZs2c7r0Tp0qUL+vTpgz///DP2wkBCvf/++2jbti22bt2KbNmyIUeOHNi6dSveeecdfPjhhy73BQBGjhyJYsWK4eLFixg1ahRKlCiBihUr4ueff8aNGzfcqtORRL84cP36dQQHB+Ps2bPx/hERERERERERERHRE+Llwd8T0qdPH+zatQtFihTB0aNHsXv3bpw9exYjRozA/fv30alTJwQHB7tUZ758+dCqVSt8++232LJlC3LkyJGgcrNnz8Yvv/yClClTYu3atQgKCsKhQ4ewZs0apEyZEhMmTMC8efNcXsa+ffti//792LVrFz788ENkyJAB//77L7p3746sWbOiZcuWWLFiRexzfj2VKBcHjh49itatWyNdunTIkCED8uTJg7x588b5ly9fvsRokoiIiIiIiIiIiIjc8YxdHLh48SImTZoEAJg8eTJy584NAEiSJAn69euH2rVrIyIiAqNHj3ap3vnz52PmzJno1asXKlWqBC+vhC3gsGHDAAADBw5EjRo1Yt+vWbMmPv30UwDAl19+6VJfrMqUKYNx48bh/PnzWLBgARo2bAjTNDFnzhzUr18fOXLkwIABAxAUFOR2G0AiXBzYu3cvypcvjz///BM3btyAr68vcuTIgVy5csX5lzNnTk+bJCIiIiIiIiIiIqIXxOLFixEdHY2iRYvilVdesUvv3LkzALj13/quOnLkCA4ePAgA6NSpk116zHv79u3D0aNHPWoradKkaNiwIebPn48LFy5g/PjxCAgIsLvt0C+//IKbN2+6XL/HFwc+/fRT3Lx5EzVq1MC+fftw584dnDlzBqdOnYr3j4iIiIiIiIiIiIiekCRw71cDT+gJttu2bQMAVK5cOc70mPcvXLjg8q2F3O1LgQIFkDlzZrv0LFmyIH/+/ACA7du3J1q7adKkQb58+ZA3b14kTZoUpmnCNE38+++/6NatG3LlyoWRI0e6VKfHj5AIDAxEqlSpsHDhQqRMmdLT6oiIiIiIiIiIiIjoUXL3FkH/XyY8PFy87evrC19fX4+7FZ9jx44BQLy3rM+ePTt8fHwQGRmJY8eOPdK71zjrS0zaiRMnYvN64sCBA/j999/xxx9/4PLlyzBNE+nTp0fr1q3RsWNHXL58Gb/99hsWLlyITz75BFFRURg4cGCC6vb44sCDBw9QuHBhXhhIDEb62JdBPWRS0HgZf4VvRWw2+UhmeEOGo99VTWWWD60wpxmxrwcdkXlVUczNaoh4+iWZPkrlD1RxJXWF8SsHD9AwA2VbWCbDeV+rWFfQSIZ6wv9gef2et+pHpOrLr6ovd2XoZ8j00+1lfct+l+n1z1liP9WxzTLs+oeMLzt56Mhc1Re93I1hK7+npIsPMDHaydicJsLBqu2hqq+RlliNKG6rsilCVIYKjrtmHlU16snX2vayoDpeHUur8g6RoVFIjVOjWTIeoPoyVvWlqeV17h9FUtH9MmtQVhmvVceaLmrkupaU6din+jrblt+oMUn202+yiIcsl0WHVFDLMVS19aEMWw6R8SDDdu87R9s6AGCb42SYI2Q8VfUtQuW37jfVPtXOHRXvk+EyqO1ZZV+g5m4jyzj2UWljxsiylVS6ocdpjQzNN1R+1ZfDjsZZLdeOIo7XSQVn62xrehFOsCxLcpW1k5O6hoxrKeKhPWW6odaBWVwueeVDttcXVN2nXX1Q05m2Mp45Xcat5X+hFLYGv6oVjM4iClR90etPG63mB9rIsKOluY668JzfZFxOpW+Sfbmk2sqyQI1bupMiNFNZ9i1q/cCoLWNztQinOFkn+0y9w49/B2GEqbkxVG0jg/X+W5XXc+uwKl+hqoin3Ii/7y0hz8dm+cjYiHQyF+vIsJUap5bNLWPeTvVbHQMrBThuSudvUFim2+2LXJCjrGv5zVpqni9RGSzHRSOD7Nfci7JsM9XvunqTvCjDlmqqtnLUTxfHxEBxWX66Ws62sr61f8vkWssT3t7csrLut82PZYYD6gy9tVpwrZTtpaHPK9arvCkcV/VvCxlXaP6Vw/zTLeO8Q+2Xjqi95gNTLcfUVTJ+U92DV88tB7qulfEfqi+31ecQtFSx/hT1oYz1/t/807J9N3d1rkn3VF+bwfEtBsxKtvZMFFN1H9LZlSGOkw9/LtvKrXpby/Zy32SZVkpvc+qcuLxazh0qv5lO7c+vyfQBxneWzPLztdHM8TqwW38VHWZHErOhiK8Yi2Jfp1F5J+hj/xbHdTtjvCSXRc6PWjKvOl7jV1l2i+6bGqZB+lxDfa410ljm2gpZV031BeXL+lQiSM8d2fiD2jK9RzcZj1th6UddWfagrBn64xWSyPwvO5l7Djk60MTBWC/r7q3aHptN5jczOKjMyblB9jFqjEd7+rBT2/mbfU36riLySy8D0TJZVWC2svU1PArwd6t/5OnFAf3l++DBgzFkyBBPexWv69evAwDSptVf4DxkGAbSpEmDK1euxOZ9Un2xprnbl5CQEMycORO///479u7dC9M0kSRJEtSpUwedOnVCo0aN4O3tHZu/bt262L59O6pWrYqJEyc+vosDL730Ek6ePOk8IxERERERERERERE9eR5eHAgODoafn+2/XR/lrwYA4O7dh/+l6+PjE2+emD5EROj/Hnx2+rJgwQL8/vvv+PvvvxEdHQ3TNJE/f350+L/27ju+pvv/A/jrIINErlUjSOxZ1fIzatSmQ40aNUqtUtqirVlqlVKrpd/S2jWKolrU3hWh1hchUXsnauVKRGKc3x++ufd83je5N/feLPJ6Ph55OO/zmWefez/uOV26oEuXLihYsGCiZatVq4ZKlSrhwIEDSW7P7cGBoUOHomnTpli0aBE6derkuAARERERERERERERpR03Bwf8/PyUwQF7Bg0ahDVr1jjd1Pz58y0vH/b29gYAxMXFJZo/NjYWAJA1q/wte/JKyb60avX00RPZsmVDu3bt0K1bN9SpUyfJ5QMDAxEeHu444/+4PTjwxhtvYMaMGejTpw8OHz6M7t27o3jx4im+EYiIiIiIiIiIiIgofbt27RpOnTrlOKMQHR1tmXb0mB5d13H37l0lb0pJyiODkvLooYRUrVoV3bt3R7t27ZA9e3an+7Zs2TKn8rs9OJA5s3WIafr06Zg+fbqd3E+f//To0SO7eYiIiIiIiIiIiIgohbj5ywFnLF68GIsXL3ahMauSJUsiKCgo0cfbX7161fI/+UuWLOlWW0npCwC7j9qPT3O2L/v2OXohY/LK5DiLfbquO/X35MmT5Og3EREREREREREREbkiE6wDBM78uf1tsmuqVasGAAgKSvhN7fHz/f39bV6WnFJ9OXPmDCIiImzSw8PDcfbsWSVvUhUrVgzt2rVLUt727dujePHiTtUvub05nzx54vQfEREREREREREREaWRTG78pYFmzZohS5YsCA0NRXBwsE363LlzAVif2Z+SypQpg7JlywIA5s2bZ5MeP69ChQooVaqUU3VfuHAB165dS1Le8PBwXLhwwan6pTTanERERERERERERESUJp6xwQF/f3907doVANCtWzdcvHgRwNOn2kyaNAlbtmyBt7c3BgwYYFO2Vq1aKFKkCFauXJls/Rk+fDgAYNy4cdi+fbtl/vbt2/H1118reVLKgwcPkCWLe28NcPudA0RERERERERERET0DNH+9+dKuTQyZcoUHDx4EEeOHEGpUqVQvnx53LhxA1evXkXmzJkxZ84cBAQE2JS7cuUKLl68iKioKJu0iRMnYuLEiZY4/kXCTZs2tXzxHhAQgMOHDyvlOnTogJ07d2L27Nlo0KCB5ZcEoaGhAIAPP/wQbdu2TZ4FT8DNmzdx8uRJ5MuXz616ODhAREREREREREREROla9uzZERQUhIkTJ2Lp0qU4efIkfH198fbbb2Po0KF49dVXna7z/v37uHXrls38yMhIy7Svr2+CZWfNmoVatWph5syZCAkJAQBUr14dffr0QadOnZLU/s8//4yff/5ZmXf8+HHUr18/0TIxMTE4efIkoqKi0Lp16yS1kxhN13XdrRr+Jzo6GmvXrsXRo0dx+/ZtPHz4MOEGNc3yDKiMzGw2w2QyAZGRgJ/f05k3remtX1CH4VZUFRXkVsPOG9R4UT2xWXd0VmN9oRprgy2TFTBRSXpfNP2miJeIeJzYpfJp6rJ0FPmnLjHk7yAStd1KWAN1lPg3kf0NER8RfWmgJT68uU3k/UnkrS3yl3tLzf/4TzV/5tliG/QQFfhbJ/Xzol+HRF7xiyiTeLSaWfRd36rWpzUapMRjDdtYvis+zM1Tgn5RtB1op749Ipa//HLwgvaTYht9KNJ/FXG+n6zTR3qpad4ib9nvxIz1ajh/sxp/LLLfF+vR09DX2Pkic3kRV4lT4wKeSpgnXE2+WU6UF8URYph+XU3Sdn6rxEH4VIlrIpeaH7eV+Mkc0VYJERt2PW2//X1rgtieQxzsi7lF/pt11XStpaF8HlFYnGv0K2pd28S7i86K4kdFPEP09S1D3+R+6OPsculfKbEGBz9L7GOd1MV5Sbso2tYaicLq/4SAbnuDZFcO6+RPkWrbPcXFoqm4GJwQVV2Q60nua+Kcqg8ztCf/M8h/1FB7bH8b6FBvzOpoXZRYXHKR7WVD3d+IupsMVmP9G/ttB6rrLdMlkS7XywRD2kdie88X14Y9avqiFWpVneW1pIy4Nj1WQ+1fQ/67SF2G9aIHNFaSCmlblPiqk9e10+IYLJk8t8pPvaSGDY6Lc4+Dtj4w9E1clnDlUzHjdzUset5+185fVeMLBdV4gWF6tKN1clPE8hwsXBbrvLCd+nXcV2IN2exXLsuHi/1a/EcrTZPnyX8MhdXnxeob1LoixU2ySd6otnRuX5puWC8LRNrhUWqsjRTHLyqrGTzV8/si8VGtk8huvJfQjt9T04qLD8dnRFl1E0HfJ85NDb4VGfrDZU1FvM71qhwJEvtpjViRwVNuX9GZ7m8roTbXzv6gfaeEfcT9mbzvcJf+u2HZWoi6M8trgUjfLNIbVxC1H1ND+bnnpGFafDDRltpfzmlim/RzsF6UewUA2jhrfn2F6FcbcQEeKP4X6iZRuTgstL3imFwk6u9kSB8h0sbsVcIhWg0l/sbJ7W+Te7ShvbJq0pF31bgSxBdb8nuEVORwqT8T23eqnWvJxyLvDw3V9A+2qumzRF3iPFfER63P5j7WWHcr0fYq57bnK2K/l9952LR325BfZP1dXJ9bynvBvWLfrOGor/I+d3CCuQCgkrPLsV30pZJ10mwGTIFPv8j1i/9+jeyK/04yciHg59yt1NPy9wFTZ67z5DJ69GiMHj3aEmuaZvu5LxH169fH0qVL8cILL7jcfrL8cmDZsmXo3bs3zGazZV78QmiGA17XdQ4OEBEREREREREREaUlV98fwDfYJqsuXbqgbt26AJ5+d16/fn1UqFAB06dPTzC/pmnImjUrihYtijx5HPwvnCRwe3AgODgYnTp1QtasWTFs2DAsX74cZ86cwezZs3H58mUcPXoUa9euhZeXF4YPHw5/f3/HlRIRERERERERERFRyngG3znwPAoMDERgYKAlfu2111CxYkXUqVPHTqnk4/bgwOTJk/HkyRMsWbIEb7/9Nnbs2IEzZ86ge/fuljxhYWFo06YNfvjhBxw6JJ+XQkRERERERERERESphr8cSJd27tyZqu25vTmDg4ORJ08evP3224nmKVOmDFatWoXr169j5MiR7jZJRERERERERERERK7K5MYfPTfc/uXArVu38NJL1rereXo+fXFmdHQ0fHx8LPNLlSqF8uXLY8MG+Ro/IiIiIiIiIiIiIqKMY8yYMQCAPHnyoE+fPsq8pNI0DV9++aXLfXB7cCB37tyIiYmxxPEvQjh79qwyaAAAjx8/RkREhLtNEhEREREREREREZGr+M6BNDdq1ChomobSpUtbBgfi5+m6brdsfJ40HxwoUqQITp06ZYkrVaqEFStWYMmSJcrgwNGjR/HPP/8gf/787jZJRERERERERERERK7iOwfSXPzj9+P/s71xXmpxe3CgUaNG2L9/P06cOIHy5cujQ4cOGD16NCZPnoyrV6/i1VdfRUREBGbMmIEnT56gVatWydFvIiIiIiIiIiIiInKFBte+6OcvB5JNQgMBqT04oOmOfqPgwIkTJ9C/f3/07t0b77zzDgDg559/Rs+ePfHw4UNo2tM9Rtd1VK9eHZs3b4avr6/7PX/Gmc1mmEwm/AQg6//mjTCkXxP548Rm0t9Wj0TtE7EZGzvowE017PuCtb56ImsLHzVeFq3G7TFInaF/o4RdNbWv8/9S+7qutjX9/YR7a3GzsxprLcVyt7Bf/jPRl6ltrOVPrlDTSouyO0Tc4Ds17tlfjWuL/J3FNvzA0JdZH4jMp9VQ26GWXSiWI68oLvteZIqo7zNDfSPUNDj3aLNkpTcU+/VWdbk9xXLHllPL+5xU4+iXRQOrDNPF2qlpR5apdVVSk+8jl9oX3FbigaKpRyKeUNA6rb0sjuds4sr6oyg8Xg213GK/HyLyV1dDfaqh/goi72M13JRTjYuL7CXaqPHnK9R4ynw1juxqnc7h3uUGaKuGXcUxO9+N+uUxJY9X/WM1Pc8PavmbejUlHqXtt073VfP+Pl2Ns4u+NBRtVxF9OyD7dkIcN+Wt6atF2RbiHIrf1VCLFOtws8gv+o51amjs698lRN5uoq2hYjnKq339XBzPU93YvnqgWEcX1bqKiPV0vrKoYIIaag3d3JedcVjE4tyk+xr6HpVZSdPaijPRr/abkvt5WbGf/yzyV3Njm9wV69y0Xk3Xuou65Y2R9o9lUtdLKUltRN3+oug0sS+ihog3iThMNP2rtW8tyqptrRZltcYO1pH2ohrrIXaz64b7Ne3mLiXtLuoosYco6/Ol6Iu43jvcmousbb8uziWb/hWl88A+N+49dJM4nuV5S8gn9oe5Iv0tsR/XEfl7G6bl+bqpPB+Hiut52eaixO9qaBb5/T5S4/3Wg1CrZn859VtivYjtrd8U6b+K+i6J+jIZ9rVCoi7Z+H9E3R+LHNp3anm9vxK/Ltb5ptmG8r+Lfq27LxrPpkR/irpmitx/unsvYuyLowyr1b7EvaMme+qNRIHyhulv1aRwsY7z22+9gVgPW18VGc6L2GSoO8zB9rYhrw5N1LBeATXeIWu03tBrEBf/ZKZ7imMurr91ut53SpK2QqyHLGpZH3HPHL1TNFZnhhLu1voo8Wt6J2tbWKi2JarCKrH9W7m3Hy817B/tHRwTr4h96cj7Iv8C59oeaahvlGEdPCX2e+R2qm7tJTGjg4gNn5n0NWJf6C/qOqcuZzaxHu4n47nEEXkdi3Cj7dairhWiLkff9+r9xL44zcG1qYDhWnLdQb/F/RbKiLoOiN4Z7mvNsYDpeyAyMhJ+fn722yEA1u8kI38D/Hwc57cpHw2Y3uE6f164/cuB8uXLY8uWLcq8999/H7Vr18avv/6KCxcuIGvWrKhVqxZatGiBzJkzJ1ITEREREREREREREaU4PlbomRQREYFr166hdOnSyJYtm+MCDrg9OJCYYsWKYcgQ+d9ZiYiIiIiIiIiIiIhI2r9/P5YvX44GDRrgrbfessw3m83o1KkT1q17+hN+Hx8fTJs2DV27dk2sqiRxe6xn9+7dOHr0aJLyHjt2DLt373a3SSIiIiIiIiIiIiJyVSY3/ijFzJkzB9OmTUP27OpDLQcOHIi1a9dC0zTkyJEDUVFR+OCDD3D8+HG32nN7c9atWxd9+/Z1nBFAv379UL9+fXebJCIiIiIiIiIiIiJXaW78UYoJCgqCj48PXnvtNcu8qKgoLFq0CNmzZ0dISAhu3bqF7777Dk+ePMGUKVPs1OZYsoz1OPNOYzfff0xERERERERERERE7uAvB9KliIgIFC5cWJm3a9cuPHjwAO+++y7KlHn6xu6PP/4YefLkwf79+91qL1U3561bt5A1a9bUbJKIiIiIiIiIiIiIjDg4kC7du3fP5kXDe/bsgaZpaNSokWVepkyZUKRIEVy+fNmt9px+IbHZbMbdu3eVebGxsbh8+XKivwqIiYnBrl27EBISgooVK7rUUSIiIiIiIiIiIiJKBq4+IoiPFUpRuXPnxsWLF6HrOjTt6creunUrAKBOnTpK3ocPH8LT09Ot9pweHPj2228xZswYZd7BgwdRpEiRJJXv3r27s00SERERERERERERET3XqlevjjVr1mD27Nno2bMntm7dikOHDuHll19G3rx5Lfl0XceZM2cQEBDgVntODw7kyJFDafTSpUvw9PRE/vz5E8yvaRqyZs2KYsWK4d1338V7773nem+JiIiIiIiIiIiIyD2uPiKIjxVKUZ9//jnWrl2L3r1744svvsDdu3ehaRo+//xzJd/u3bsRHR2NKlWquNWeprv5huBMmTKhVq1a2L17t1sdyWjMZjNMJhPWA/D537w/DOknRP5NHupm6vRQ/Q3PIic3Yz5NLR/uZ53WKqt1Pd6h5t0n6qrxhhpr69Xy00RbF0X5KcaTSk817fMf1figKLtbLLeeVW1Le6ymTxDrbYi99VZfxB3UMPYDtS6v8Wpd84aq6V1HqeV/N8QtMUhN1L9JvF8J+Ems41wivY1YzhqG/HtT+iXhTdVQ+9PathwqXHhS5C2r9q2PWM7tovx4EX8s4p8N0/LtJ6tEfE7EX4u43BKx3sT+oecSv7Orbp0su0FNCpP78T9q2X6l1fzTjovOTFBDLYvo2wIkXR81vDtT7YtJngDESn/yhxpnMvRdmyD6Jfptc3Jxk1v7+UtqqB8rp8QztFAl/khuw48N6+0/U9TKLqoXdASpYWhHNc4uuvZ/Ig5voMbaVmtfWohj5oYo63C9dBFxGRH/roa6cRsuE+fjdil8rplj6EcXcfyJWxQt3MHx+5ro+241/2divU4xXgfni7by2V9ufZpoq1/KrSd5reh5S03XWou2xUlWv6WW35THOv26k8fYUtGX9rintqVHqQW6F1BCbW7i7elO7nuHRV8Wi/QpIWo840XrdJ8Kapp2TJwLWom+rFLTPxBtvyra7qo3V2e8Zz3JaosdrHPtRTXWQxLOZ8mvrvMfxNnHeJ7TxR2Zj6Z+ILmv279+z3Cwv+j4UO1afcMNobz4O0nHTDHnvNoWJqr521r7rv1qv9+eYjnjnDwuZO42hvpWyuvMOnGeE78m92qixnEO7ltkeRiOb/2aTVcdaKOGL61U42PqXZaGokp807DceaqJ5f5FLHexgaIudfvZEPs5dF/7+Y1ZxecMLFTDI23V+JXaogJxjyXPTfpWQ/0N7e87ecS+dkvuHyL/NyL/pyLdy86+GiTK1nS0X98X8QA11GeI/QMrrJNDxDlT3ju6SUdJtf77py3TfX3Utqc7Ok+VFPvD7yLDejXUBtq5btltyVaE2Cb5U/DznPEcCAAzVqjp8h5YXlNfeajm7+xhnV7UW/R7hhrKfU98JEJucV3LL657EXbWi81ntc/UUBsuj6n/qul4OdG6k1sVsR4OJOP2jhV1e+r2z8/6VPv7/ZO/1DgzGlrLltuq1n3C/nlL7ufys/2KbdZpczRgagZERkbCz88P5Fj8d5KRWwE/H8f5bcpHA6aGXOcp6Y8//sDw4cNx5swZFC5cGJ9++il69+6t5Gnfvj2WL1+OxYsXo0MHeXOXdE7/ckCaP38+8uXL5241RERERERERERERJQa+M6BdKt58+Zo3ry53TyzZs3Cjz/+iOzZ5X8pdI7bgwPvv/9+omlmsxkbNmzAtWvXUKlSJZuXJhARERERERERERFRKtPg2iOCODiQLrg7KBDP7adELV++HJUqVcKcOXOU+WFhYXjxxRfRoUMHDBgwAPXr10eXLl3cbY6IiIiIiIiIiIiI3JHJjT96brj9y4Hly5fj6NGjeO2115T5/fv3x5UrV1C8eHFUqFAB27Ztw6JFi9C2bVu8+eab7jZLRERERERERERERPRcefjwIebPn48NGzbg3LlziIqKQmKvDdY0DWfPnnW5LbcHB44ePYpcuXKhVKlSlnnXr1/Hli1bEBAQgOPHj8Pb2xu7d+9G3bp18cMPP3BwgIiIiIiIiIiIiCituPorAP5yIEXdvHkT9evXx4kTJxIdEDDSNPee8+T24MC///6LkiVLKvN27NgBXdfRoUMHeHt7AwBee+01BAYGIjQ01N0miYiIiIiIiIiIiMhVfCFxujRkyBCEhISgUKFCGDRoEKpUqYK8efMiU6aUGZVxe3AgLi4Ojx8/Vub99ddf0DQN9erVU+bny5cPR48edbdJIiIiIiIiIiIiInIVfzmQLq1btw4eHh7Yvn07SpQokeLtub05CxYsiLNnz+L+/fuWeRs3bkSWLFlQs2ZNJe+9e/dgMpncbZKIiIiIiIiIiIiIXMUXEqdLkZGRKF26dKoMDACApifl4UV29OrVC3PmzEGXLl3w6aefYuXKlRgzZgyaNGmCDRs2WPLFxMTAZDKhYsWKOHDggNsdf9aZzeb/DZS8C8ATANACiyzpHUX+1vnVuF+4Gk/HPXWG7qvG99Wwho/6G6C9/xp2gwmi8clqOE08yypYZF8mdqljIv9LIt3TkC7fRiHXQxu5u2rLlbAB2inx1oKiArFaCp2yTlcRWX938tDQX1GXc/d/1fRVIv8Jw/Q20ZY+Xq1r+hdq2YmiLrH1YXbQ9yqGdf53bTVN2+3WKcGW1kgNsdUy/UTdXJi+TI37blLjSk3U+Ihcb6+p600uy0bDcje5odYVmVeNczhYh/oQ0VYXNf9rZcX+YKhvvzgmqh4Xlb8o2m6r5j+zQk2WPwEbIeKFv1qnp7RV0wY4uZ+XEH0/c1Et/1agmv4nGlqmVxi2PQC0wSC1cv0bp/pi47CIK1kn54l+d3O03JvVUF8ifjeZQw21afLc9J217JxP1aQeu0Tlr9ntio5bYk5utb76Inm73ersEzuPPuZXkUHsQNvFeplnmM4miu5WQy0smc819ohuQy6Wuy5ZJ0eKY2C0k8fYMLGv1hPpDZ24hv5eTZwj9+VTYk0TL60S9w75RF/WiPo9DNOVbK7P/4i6S8EZtmutu1o95jpVX3LSQwzrpbxILKyG2pVU3M+dpL8pjt9JaqiVF303nGt0cZ5x9MtyfZK4Zg7KpabrB5U4j1ZMiW85cRzdFfutvJ4XFOlX5b1EMTX9yHnr9NuirSvi/gxr1VA7lvi14Wlj/e22rZ1L+nLrq8VW6Gm/b/IS/M1favyuYVrej++FesOmr1Vv6LSm9vvdQGyDbSaxDRZb023qEp9pbK41jmgvqrEe4mQFhqLVxPbaL7d3lCggPoi40RbEPbK2U6zDFuoxpt28rRbI43JXgOoi3idifxFfc70pvbdY7mZqqL2RfOfY82K/LPJYZMikfqaJ0LYocb75Ir84p+I/Iq6X9L5rWmd1hr4wyWXddknEAWoo7xXC1dteYKpcTsNJdax6rteGu7c9H4u+ZHbjqy6b85STdcnvTPq597WbU+yuB/kZp7F6bwhE2K+8lTjvrRLnHjtF3X0Kjb5LtF3H0JrZDJhMiIyMhJ+fn5stZQzx30lG7gP8XLg8maMAU3VwnaeQChUq4OHDhwgLC0uV9twe6xk2bBhy5cqFBQsWoGLFihgzZgw8PDwwevRoJd/atWvx6NEj1K5dO5GaiIiIiIiIiIiIiIgyph49euD06dM4dOhQqrTn9uBAQEAADh48iD59+qBx48bo0aMH/v77b1StWlXJt3PnTlSsWBHNmzd3t0kiIiIiIiIiIiIichUfK5Qu9e3bF+3bt0eLFi3wxx9/pHh7br+QGAACAwPx/fff280zY8aM5GiKiIiIiIiIiIiIiNzBFxKnSw0aNAAA3LhxA++88w5y5syJ4sWLw8fHJ8H8mqZh27ZtLreXLIMDRERERERERERERPSM0ODaCyHcfYkE2bVz504lvn37Nm7fvp1wZjwdHHCHU4MDly49fRuNh4cHChQooMxzRkBAgONMRERERERERERERJT8NLj2KwAODqSoHTt2pGp7Tg0OFClSBJqmoUyZMjhx4oQyL6k0TcOjR4+c6yURERERERERERERJQ8+VihdqlOnTqq259TgQEBAADRNs/xqwDiPiIiIiIiIiIiIiIieDU4NDly4cCFJ84iIiIiIiIiIiIgoneI7B9K9oKAg7Nq1C1evXsWDBw8wd+5cS9qFCxcQFxeHUqVKudUGX0hMRERERERERERElJHwsULp1pkzZ9CxY0ccPHgQAKDrOjRNUwYHJk6ciJ9++gk7d+5E7dq1XW5L03Vdd7vHz4guXbrg559/tpsnJiYG3t7eNvODg4MxYcIE7N27F1FRUShatCjat2+PgQMHJpjfEbPZDJPJhF8BZPvfvLemWNMzfa7mf9JcVJBbDbW56mb0E496MjvYzE0M+euJtCGhall9hFq3tiKXWuDQLTXOpoYoY6cjWiMl7IqtSjyvtJr9/ik1lu/uLozySqw3PaHE49ZZp4eVUMu+dEaNj4t1+IFYx7PCReOn1TBOHKfGrr8k+9lG7Sfai7pFW9/0UeMhzhzW2otqrIfYzZ5NLPf9lDyF/CLiDmposw0uq+laIdE3LcoyqV/PrqblV/NGirpN8uL3l6i6hmzrHyXUOxt23rdEXTVELI5vZA1U4/9cVJv62P420D2ty6LFibz3RWZ5vCajPmKd/vCbmq4Fib5NTr629dHivzYsVsM64njfLfZrfYE473VVj9muUI/Z+Sl4XOg91b5smq2mv+5G2/pcsZ7KiwzVZd2b1PD9163TV9Ukbeuzc7sh99UZvUXfZ7hRuTjm9E/EOp+rXvA1/O5yU/qbou71suO91VDkH7VBTc4rSn9kZ1/To8Ux42N/+48U63y0PAYXiWWpZJ0sKi5jF0TZgqLuq24enzqmWoPL4obtVTXU/hFtOXuO1QaLxr9xsoLE6QhWm5Kdd4a2W1T+mnN98RT7i7xWpaDHYv/ILPc9YxAj9sNX1HC6uC/ta7OvVVYiDYeS1skk0LuL43eemm5zTNnUYFbDBSbrdJzIul7EQ9RQs7lW2KdD3a81DE4kJ4D6ouxIdbnz1FXTb6XkfWp10ZemYv9oK/KXUvsi/9NlPsO++LJI23hEzLgj4nr2l1OTffnVbnan6GPF8TvcwX1poMh/MenbKEgcrzUKqunalZTb3mVE26FBom35WUDQs6rlWz6wTq+22U+dOCbcpP8itkcH0ZcuosACJxsYoYZ3v7K294XI+sNXYsZw+8eMQ05+zrVH7ns1xTZbKNLfF+Xtfu2WQ8R3neqaQ8bvhhx9L6TfEvtDbmfP5ypNSeusJo5dpIQlv1STT8u+imMILayT5oeAaRUQGRkJPz+/pHY3Q4v/TjLyBOCX3XF+m/L3AFN5rvOUEhERgUqVKuH69euoUqUKmjZtikWLFuHs2bN4/PixJd/ff/+N6tWro2/fvvjuu+9cbs/tXw5cvXoVmzdvxoEDB3Djxg3cu3cPfn5+yJs3L6pWrYrGjRsr7yhID0qWLIm8eeVH3KcyZbId/lqyZAnef/99PH78GAULFkThwoUREhKCESNGYO3atdi5cyeyZUvBb9SIiIiIiIiIiIiIkgsfK5Quff3117h+/To++ugjTJ8+HZqmYfPmzTh79qySr2rVqsiePTv27t3rVnsuDw7cu3cP/fv3x+LFi/Ho0SMA6miopmn48ccf4eHhgffffx9TpkyBr6+vW51NLl988QW6dOmSpLwXLlxA9+7d8fjxY0ycOBEDBgyApmm4ePEimjRpggMHDmDQoEH4z3/+k7KdJiIiIiIiIiIiIqLn1rp16+Dj44PJkydD0+yPxBQrVgyXL1+2m8cRlwYHbt++jdq1ayMsLAy6rsPf3x+vvvoqChcuDB8fH0RFReHSpUsIDg5GeHg45syZg+DgYOzevRs5cuRwq8OpbdKkSYiNjUXjxo0xcOBAy/zAwEDMmzcPNWvWxKxZs/Dll18iX758adhTIiIiIiIiIiIioiTgOwfSpatXr6JcuXLw8vJymNfLywt37sjnDTrHpcGBXr16ITQ0FAUKFMCMGTPQrFmzBEcydF3H6tWr8cknn+DEiRPo3bs3li5d6laHU1N8/wGge/fuNuk1atRAmTJlEBYWhj/++AM9e/ZM7S4SEREREREREREROYeDA+mSr68v/v333yTlvXTpEnLnli+udI7TmzM0NBSrVq3CCy+8gH379qF58+aJ/sRB0zS888472Lt3L3Lnzo1ff/0Vp06dSjBvalq5ciVatGiB+vXro127dvj+++8RGRlpk+/SpUu4fv06AKBmzZoJ1hU/f//+/SnXYSIiIiIiIiIiIqLkornxRynmlVdewbVr13D8+HG7+Xbt2oXw8HBUr17drfacHhz45ZdfoGkahg8fjsKFCyepTGBgIIYPHw5d1/HLL7843cnk9ueff+KPP/7Ajh07sHz5cvTt2xdFixbFxo0blXynT58G8PQnGv7+/gnWVaxYMSVvYmJjY2E2m5U/IiIiIiIiIiIiolSXyY0/SjHdu3eHruvo1q2b5T+tS2fPnkW3bt2gaRo++OADt9pzenPG/w/5jh07OlUuPv++ffucbTLZFC9eHF9//TWOHj0Ks9mMe/fuYfPmzahWrRru3LmDFi1a4ODBg5b88c9sypEjR6K/jsiZM6eSNzHjx4+HyWSy/CV1YIWIiIiIiIiIiIgoWXFwIF1q164dWrdujUOHDqFcuXJo164dLl26BAAYMWIE3nnnHZQvXx7nz5/He++9h9dff92t9px+50BYWBgCAwORK1cup8rlzp0bRYoUQVhYmLNNJpsvv/zSZl6jRo1Qp04d1K5dG3///TcGDx6Mbdu2AQAePHgAAPD09Ey0zviXQ8TExNhte+jQofjss88ssdls5gABEREREREREREREVn88ssvKF68OL777jv8+uuvlvnjxo2Druvw9PTEoEGDMG7cOLfbcnpwIDIyEqVLl3apsTx58qSLdw5Inp6e+Oqrr9CkSRPs3LkTd+7cQc6cOeHt7Q0AiIuLS7RsbGwsACBr1qx22/Dy8krSW6aJiIiIiIiIiIiIUhzfH5AuZcmSBePHj8fnn3+O9evX4/jx44iMjISvry/KlSuHt956CwUKFEietpwtEBUVZfnS3FleXl6IiopyqWxKe/XVVwEAT548wblz51C5cmXLI4Pu3r0LXdcTfLRQ/OOE4vM6q8khwM/36fQUw5iLXEvaBF2JPyur9kVfr8YaOqkV1BcVblfDjYZNqj0YpCaW/UcJbV7drN+Sc+zTBovy3xgC9Vla89qpWWcsU+M+4qdMPvnU9aSXE9tsbS0lHDZrj2V6US8163GxDiuI7T9L/BAlIr8af6uG+EZX+9bCUN9nOKFmLiQKix2icx81VpfKsYKGtq+Kfjly38n8ED+8eeuhte0/HdUllhOX1HCWjxpH2PwYR31jezhuW6Y3iXNok0/V7WvyU9NvideE5Bku+i6OKf0NMYiazTqpLRRl26ohBoi6Boj9+OPWanpbNX3vClHfH4ZprbOofCFSUh/DvvZDCTVNaynWQ8vkbbuBoW1N7Gv6yOxKvNv/nppeQJxTw8urldcLUcL5Yvu745g417y0RO27Nkust1lJr1vfJZbrqqi7u1hPU8W+V119b5CGDmr6z06eH9ILbbcSBsv0Fq5XXUZsz1D5I8ZYWWKuEg0W5eW1xK7hckZv+/knqeEoeSGbr4Yf2avrCxHvEPExNRztYLm0TmLfLGldL+d/E5kXiP28mqj7sMhfWb1WNDFcKwBgo+zba59bp8UrpyLD1biEj9qX0x+KtqupodZFbcsPE9X637TGMzaoZT9y8vqsdXlVnbFADfVwsR7zW+uX+3WYs/cGsi9xSS+vFxLnJXH/pR0U+wraiApWKmEl2YC89xhsaC9Q9LOM2pd+YWp6X1m3vNBp6r6nl1b3PWS2Ts46qSb1Eutcm6dex16Dep1zRIO48THsiyvE9m7t5vaWnwVmiP3cE0Ms03Hy+t1DbH/x/85uyb5pjdTytbeqybuTvixNxHroIjP8KOJSYhuNEOlj1DBct95baFDvOxx9b6PjUzFHnMBbOKjAcC/aeoXa2kpH52d5T+yAdlFuI+s1WD9eR02aoebtL+r6ezdSTai4j0VeNdRXi63UUj3BV32gJv9t/EplmFr2yNeiLV18fk5GWgcH22+Be/Wv/kpdthx29qcZDur6QRyDNtc9cf7W56ifse0dRzq+UWIN6jqvsVTkv6jWtk3U9+SJGv9t6Hs12e+7djoGQF8jPus1V9NryvNkMXFtMkxPKymu7afFeSq3g/1BHgdn1FCu48N2Po/d/XKREp8Wn+1xW9QWI74MqBFgnX5k21VKIlcfEZTGjxV68OABJk6ciGXLluH8+fPw9fVFjRo1MHToUJdeznvgwAH89ddf+Pvvv7F//35cuHABAPDXX3+hVq3Ev3GrW7cudu3alWh6vnz5EB4enmh6UuTJkwedO3d2nNENTg8O6O7eDKZTHh4elulHj56eWUqWLAng6a8Drl27hoIFC9qUO3funJKXiIiIiIiIiIiIKF17BgcHoqOjUadOHRw6dAienp4oX748bty4gTVr1uDPP//E4sWL0a5dO8cVGXzwwQc4evSoy3168cUXYTKZbObnzp07gdzpj9ODAwBw48YNLFzo/P82vXHjhivNpYoTJ6yjyoUKPf1v2wEBAcifPz/Cw8MRFBSEtm3lf+8FgoKCAADVqlWzSSMiIiIiIiIiIiJKdzS49lihNHwU0eeff45Dhw6hTJky2LhxIwIDA/HkyRNMnjwZgwcPRrdu3VCzZk2n3vNarFgxlCtXDlWrVkXVqlXx7rvv4sqVK0ku//3336Nu3bouLE3Crl69is2bN+PAgQO4ceMG7t27Bz8/P+TNmxdVq1ZF48aNk+2RQoCLgwOnT59G165dnS6X2KN50oMpU6YAAMqUKWP5hYCmaWjZsiVmzpyJuXPn2gwO7N27F2FhYfDw8ECzZs1Svc9ERERERERERERETnvGfjlw/fp1zJ379DGs8+bNQ2Bg4NPuZMqEQYMGYevWrdiyZQsmT56MadOmJbne335Tn1OaOXPmRHKmrHv37qF///5YvHix5ak2xif4aJqGH3/8ER4eHnj//fcxZcoU+Pr6ut2u04MDAQEB6fYLfnu2bNmC7du3o2fPnihatKhlfmRkJL788kssXfr0IXIjRqgPgxw4cCDmzp2LzZs3Y9KkSRgwYAA0TcPFixfRrVs3AECPHj2QP7944CkRERERERERERERuW3NmjV49OgRypYta3l3rFH37t2xZcsWrFy50qnBgfTg9u3bqF27NsLCwqDrOvz9/fHqq6+icOHC8PHxQVRUFC5duoTg4GCEh4djzpw5CA4Oxu7du5EjRw632nZ6cCD+pQzPmujoaEyYMAETJkxAwYIF4e/vj4cPH+LkyZOIi4uDpmkYMWIE2rdvr5QrWrQoZs+eja5du2LQoEGYNm0a8ubNi5CQEDx8+BCVK1fGpEmTEmmViIiIiIiIiIiIKJ15xn45sG/fPgBAzZo1E0yPn3/t2jVcvnzZqUcLuePHH3/E5MmT8eDBAxQoUAD16tVDhw4d4O3t7bjw//Tq1QuhoaEoUKAAZsyYgWbNmiX4n/N1Xcfq1avxySef4MSJE+jdu7flP7y7Ko3fL516KleujGHDhqF+/frInDkzQkJCEBYWhoIFC6Jz584IDg7GqFGjEizbuXNn/PXXX2jatCliYmJw8uRJFCtWDKNGjcKePXvg4yNfq05ERERERERERESUTmVy4w+A2WxW/mJjY1O0u6dPnwbw9B0BCSlYsCA8PT2VvKlh+fLl+PPPP7Ft2zYsXrwY3bt3R6lSpXDw4MEklQ8NDcWqVavwwgsvYN++fWjevHmiT+3RNA3vvPMO9u7di9y5c+PXX3/FqVOn3Oq/S+8ceBYVLlwYY8eOdbl8jRo1sHbt2mTsEREREREREREREVEacPOFxPJ/5o8cOTLR/3idHO7cuQMAyJkzZ8Ld0jTkyJEDN27csORNSS+99BJatWqFhg0bIjAwELGxsdi5cye++OILhIWFoUmTJjh8+LDl3QiJ+eWXX6BpGoYPH57kXzsEBgZi+PDh6N+/P3755ReMHj3a5eXIMIMDRERERERERERERAS3Hyt0+fJl+Pn5WWZ7eXklS7cS8+DBAwCw/DogIfF9iImJSdG+AMD06dOVOFu2bGjZsiXq1q2LypUr4/z58xgzZozlJcqJ2b9/PwCgY8eOTrXfsWNH9O/f3/K4JVdpuvG1x5RqzGYzTCYT4BcJaE8PJL2BYbiukChwRcQ5RCxeTq09VDdru5nqUOCyv8Rmr2WY7iLqvi/iX5FyfhFxBzU8L35WUyRK5O+lht8sUePBH6mx9sM9y3QQsitpQ0XVpUU862sxY6h4m/n4x2pblcU6b4xE6a+IoVvRGa2tm4ftBMP0YZHm5Pa9LLbJpyJ9pTjF6Nut+bX6Iq27WO4aalinhxrvWi0aM6mh1k/U/5qh/mZqXp8maixPrWJXwje4p8T6B+r+03S2mv/Pi9a+VAhUl/N4qOhnmZfUwv8cV+M6ojNBIi72lRrf+tKQJvKKAWztWDq+JMjrf1zKNaXfEvviZZHBTw21Yim43tqK2IljNLc4PsVuj/mpeAsQJPrysUg/kpx9KSHiM/az6xFq37R89vuyXyxL1aKGQNyDauHlRWMh9vvyl9j3yqjhR3nVeAZ2GQq/ptali7qui775q8s5VizXcHyrxPPEGb6bIX2/SKsqjhH8LNpuYX8d67vUvvSsq6bPtrO/TBDLMVgfqMSLNPVdUZ3EvQFeV0OtqThHv2C4jv3rYL+9JOIA+9mjRd99nDguTouyJYuLflcU+3lmUbc8t4xQQ+M19H4jNe1LNcQJEW9y8/jWjTejt8XjPHepIVqqbcn/DKfvE+uhuv2+Gc9dNTaJxIVqqC0W69xuzQAui770Fn3/05ouDn2EFxRtX7Hf9kqxf7RxZ5vI/bqLGurbc6kzfhX/c09slEXiOtfZ0Df5k/onA0RVk9Tl2CryN5wtllPcS9qjj5f34/bXmdzX/ERfzHKdi889emXDuSW3yCuWWx8hWhNPcdDKOjjHyhmehrbjnNs39LliP+5uv3wTsV66GKbbyev3MhGXEnFuEcedEzOKKpHNf441fg6qpCbJa301uf2airrWqaFeSC1f6KqafkU3nmTF//YUnxW0iw62yWYR2/mcmdwcbX/9T7HWjf/Zt0Y1taz8BCY/p4ptJMn7Xvkwj6J2znt6P7EcHiLvZDXsKtqaJ79n+I9YD2bDMebn5j2v2Pf06mIdFxD5DZdNrV0K3/vvUUP9D2vfRol12EoUraAvUGes6aLGzexc381mwGRCZGSk8kU1JS7+O8nIO4Arq8xsBkw54dQ6HzRoENasWeN0W/Pnz7e8fLh8+fI4efIkZs6ciQ8//DDB/Pny5cONGzewcuVKtGol97SkKVKkCC5evIi//voLtWrVclwgAbNmzUKvXr2QK1cu3Lx5M9HHBAFAQEAAsmTJgnPn5HXMsWLFiuHx48e4ePGiS/0E+MsBIiIiIiIiIiIiIkoh165dc+nZ+NHR0Zbp+McJJfbIIF3XcffuXSVvWokf0Lh9+zZu376N3LnliLZVZGQkSpeW/yU5afLkyeP2OwcyzAuJiYiIiIiIiIiIiAjWdw648uekxYsXQ9d1p/8aNmxoqaNkyZIAkOj/sL969Sri4uKUvGnFw8PDMv3o0SO7eaOiouDt7e1SO15eXoiKko9VcQ4HB4iIiIiIiIiIiIgyEi0ToGV24S9tvk6uVu3p48iCguSzlaHM9/f3T/KLfVPKiRNPH7Tp7e1t91cDwNNfPKQlPlaIiIiIiIiIiIiIKEPJApd+BgAdKfoSwEQ0a9YMn3zyCUJDQxEcHGx5dE+8+Bf/uvqugeTy5MkTfPfddwCAunXrIksWx1+/37hxAwsXLnSYL6Fy7uLgABEREREREREREVGG4oFnaXDA398fXbt2xezZs9GtWzds3LgRgYGB0HUdkydPxpYtW+Dt7Y0BAwbYlK1VqxauXLmCyZMno3Xr1m73ZdGiRbh27Rq6dOmCfPnyWeZHRESgb9++2LNnDzJlyoRhw4Ylqb7Tp0+ja9euTvdD13W7LztOCg4OEBEREREREREREWUo7gwOpI0pU6bg4MGDOHLkCEqVKoXy5cvjxo0buHr1KjJnzow5c+YgICDAptyVK1dw8eLFBJ/PP3HiREycONESx7/wuGnTppb/9R8QEIDDhw9b8ty6dQtDhgzBkCFDUKRIEeTNmxf3799HaGgoHj9+DA8PD8yYMQO1atVyuEwBAQFuf8HvDg4OEBEREREREREREVG6lj17dgQFBWHixIlYunQpTp48CV9fX7z99tsYOnSozaOGkuL+/fu4deuWzfzIyEjLtK+vr5LWuHFjDBgwAPv27cOFCxdw9OhRZM6cGSVKlEC9evXwySefoFy5cklq/8KFC073OTlxcICIiIiIiIiIiIgoQ8kCwJWXCz9J7o44JWvWrBg5ciRGjhyZ5DL2voAfNWoURo0a5VQfypUrh0mTJjlVJr3i4AARERERERERERFRhvJsDg5Q8tJ0XU+7B0VlYGazGSaTCZHbAD+fp/NaVremy6djfSjicnKzlRAZzr4okk8ocU6R/cBqa30rWqrPuWok8preUGNtvXu7kD7Q0N56NW3cSTUe9oEa752txv8n6vZcqcYm8c4Rsxu7/0bxPLAmYr2gu4gPi3iedVLrKPoh8obvUNuqribjgoPl0Guo5bW9hvzabpH5Nbt1SdnEeriPhmoG0xY1XmeYFo9e8xN1ye3zikjfJ/oi4zo4pcR659KWae1nte4mou6N+UVl8qBcqoaRxdU4h51tsk601dTJ/XCpKD9VpP/tI2aUtE5u+6+a1JCXAAC22+Str9X0nl+o8WxHx9waa31as2Rex/JcUinxrOFiufKLfs8T6d1Euv6SeO7hMTW9pCh/pp41Xd8uOnNGzVuopJp89RnaF/V+Yr2UsU5qvcVyaN8p4S58qsR1xHKvFuu0RUHR+FlRfT7DOl8uzvVBoi9j1LCvaGvaDVH3LVG+jBpOM5TvO1iULaGW9fvA/vkdI9RQj1PzT/lGTR9gKP+DWI4+YaIvpR3sWy+p4bzj9o8Lo2mi7X7yGCom9pVzgWrfcEGJj4n6XgoVbV+yTu5vouatJttGbbXsrj1q23WcO+b0Atb28oeraRGybU+xL8aJ/UFe798SfVmnhkp9s0THuqhlO4u6FxYV+a+ooeybPUGi7hrviAyrZF3nlaipVkyJ/5T7lnx33uQkd80hPUJsk3z2l9vTsKyfirRvUvN8ramfRPSOW9Xkxe71pZ3YpsvGG86pQ+4rabM09QarF5aplenvutUXHdYXFmoYp6bdFtsvlzzef1UrW6X2RftB5JfXaGNeOWO6iPuqodwCJrFOIxur6Z03q/Eiw/6knxDLuU3ULtqW22+pw31TPXlpkDf8VtGi7oci3d69/tPKxb4bq+678DSU7y7Wujh9a13styXPTTVT8BjVV4lt1MrBPfFWsWzGp3KsEpknealxYKza1kWxH+8SdYsvAzSfFFwPYrkaii9Nttlck637ntzv5H3MR8glGrN91InRYVG+kmz7FcPnkiMOtpdZbF8/UVdvkT4z6etY3yu21z011F4vLwqEqKFYLxpuWwOzGTCZEBkZCT8/vyT3KSOzfCcZWRh+fs4PDpjNT2AyXeY6f07wlwNEREREREREREREGYoH+MsB4uAAERERERERERERUYaSBUBmF8o9Tu6OUBpyZXiIiIiIiIiIiIiIiIieYfzlABEREREREREREVGG4uovB2zeUEPPMA4OEBEREREREREREWUoHnBtcIAPonmecHCAiIiIiIiIiIiIKEPJAte+GuYvB54nHBwgIiIiIiIiIiIiylA8wMEB4uAAERERERERERERUYbCwQHiQ6KIiIiIiIiIiIiIiDIcTdd1Pa07kRGZzWaYTCZE9gL8vP4386I1fdEfav7O49XN1GeoOkonsuPqbDW/LvJ/dFPNP8OwG/TV1LzTi6t1rT6rprd0cxcaZmhvbEc1bdESNT4oys5xUHd0aTHjbRH/xzqpPcilJPXFbSWe9rIoO0LE09Xw/k41zqZHigKVrW1rRZQUvfFWJR6yWS0pl/sWvlXi0/hUib8W+efNMNTdR037xt1TwmERlxFxtsSLDhP73jjRlxoi/awoHyHytxD5V6+2Tq9sqZZtI5e7vqhcLJd+R4yUa0fUEC+r6cZt2Bhu0VFQtHXVfv7PDH2dulGUbWK3rNwmY/USovxpu+WfVXoLdbl/FydZed7T74r9Ico6qX0m9q1f3etbkNgmNd04Zj8TdU118/ivYqjvwCGxjl4S62itGmot08/tiJ9YL5Gb1HStsVg2TDVEn6l5HTVWQsRn7Gd/TfRt12BDW23FOqykhndF2RwFRP5aaqh3Fr3fLjqz2zAtr4mN1FBborb1+AO17kw3RPlgEa8T9c1Kvv1F91X7okV3UtNfXqTEnf9rnV4oLshad/v90meJtnq6vhyDxfac4OD4lftiA1F+m4Py+hBrfm1C8h6vnURfFi5V06e3t073c3Se2iNisY30P8U2+Nf1ZdHxs5jzvhKFiuUqh3uiAl/X2x4vzlNfqOlbRH6b+xwht+jresN0tZT+uOiphvpla19251fTXtMDReGXlUjD73ab+kAs52x5Pf+PYT//OHWvS/opQ99KqydwTbugxJPF55QBzm4jbbkSVkA7y/RxJ+vSd4mzS53WavzflWpcQHQln7U9m/uphiLvQbG91onjuan9vq8T27+pYVn1v0Rdte3X5ew9lM29hTF/QzUtYptaNr+jbdJFxAvsZ09Juklsw8jE+15VrJO/xXcBe8V3AY7ueXV4qzNWx6qx4fKuRdmvy9HnUv0fsZz31VArJOrPY7c5+8R3N3hhsEieqMS5u4m+zLX2ZbJYrs9/Enl7iYNOV68mC0X5zm5cH/QC4pi77sY512wGTCZERkbCz8/P9XoyEMt3kpH14Ofn/C8HzOZHMJl2cJ0/J/hYISIiIiIiIiIiIqIMJQuePlqIMjIODhARERERERERERFlKB7g4ABxcICIiIiIiIiIiIgoQ+HgAHFwgIiIiIiIiIiIiCiDyQLXvhpOP++LI/dlSusOEBERERERERERERFR6uIvB4iIiIiIiIiIiIgyFFdfSMxfDjxPODhARERERERERERElKG4+s4BDg48Tzg4QERERERERERERJShcHCAAE3XdW7RNGA2m2EymYDGkYCHHwBA76BZM4SLAr4i7q2GRZ+o8YXx6mbNPVRT4ltisw/TrOmbRVN/F1XjuPNq/K3IP0bE93FKnaGXQmL019R+Dv9LTb8k8i8Sy9FEU8tvXK/m//1NNf7RML0J95S0FciuxK3Pisa3qqHWSyznEnU59Q4ivzGorqbN268uR9fBavqZb9S4pKPDuK2Iyximv/pOTdP726/LTbqvYdkKiMSSIh6ohpnqi7ocLHcZsT+ENjcEx9S8lcR+/aMaomptNY4Q+2a+y2qsfSj6ti7RbtpYLfrdQo9TM3T3VNuat0tN93hNCfUhhvpEVS+Jfel4Kl4S9JLqcr50JvX6Is8VYvMiRMTLZF8mqKE+ROwAOGmZ0tDE6f4pda9Q+4o2al9qimXZm5zrTRxzp3eobTk89xjoo8XxOEpN/1DkfyRid5ZLH6a2rY2zX5f+vsj/s5pf/1hsE+O15jc1SXtZlM0s6n7SUImPiYtLhb6ivuuivnOG+sqLvLLfGAu7TnypxrtF+lpR/3pr/XoNsVx7ndxe/mqoXxNtaS+q6ZlOWNMe22+rgjhGxNUasfK6N/U7JZzyuZr8wDAt74FudlZjuQ2S1Qg11P8V22CmaFv7Tgnn4VMl7ubgGLtsWI+F3TzP6J7iGOqihitnq3EbQ3v6LLGcmURfPhD7ygcn1PRZan4th+jbXTUWPVXz/iNSS4m6tUZq+uotavlQsSxD1fJ9Detc/o+uKXo70VaAaEtc4FsgxcjzO14RGaqqoZZfbDNxH6zvM0aV1cTRh5Xw71FqckfR9Bmxr64Q54M2Il3vbU23OYYc0E+I7TnYuXtBfYOh/BuirNhXUFbsa0npoMFnYj1MNa6HPSJzLTU8LcqWyKmma7fFOl0lerdPDUtONtSdX7Qtrnn4VdT1j2h7uIPr+x61/HHDDWB3kfdv8XZGR9caG+JD9Q9N1Lb7bLROD39dzTtO7JexYp17OdivW/+q1qe1SXrfdfEZGOIz8hHRViV5DEWo6WfENi2x0NCvTqJsQ3F8blPLrhDfS2jnHGxviPtzX+t5UotyUFZ8L6GJa8fNsmp67uOiby+q+Qsa1ttVuc7EPRT2ymuJuCGbLT7rdRblPdXyUwxti69DbO6JWuhL1LYhvsQQlPMWAE2eu+yVlTMc1NVJ7HuLNhnSo83AOyZERkbCz88vyX3IyOK/k4yM/AB+fp6OC9iUj4PJNJvr/DnBXw4QERERERERERERZSiuvnPgieMs9MzI5DgLERERERERERERERE9T/jLASIiIiIiIiIiIqIMxdV3DvCXA88TDg4QERERERERERERZSgcHCAODhARERERERERERFlMFng2lfDj5O7I5SGODhARERERERERERElKG4+kJiDg48Tzg4QERERERERERERJShuPpYIQ4OPE8ypXUHiIiIiIiIiIiIiIgodfGXA0REREREREREREQZCn85QICm67qe1p3IiMxmM0wmExAZCfj52aTrLTR1Rk01fDJIjTN1U+M689S4o6i/ZxsxI846WfQPNen8V2rc/ks1rieq2ifiD0X8sogPGqZrFBSJ5UXcUw211mJFSPo3anxJpAdYJyto6jpfIrLKkbQxIl5WTRxKfdVwZEe1fmNX5g1Q82qT3DssO4llqSXSexkP+zkisYdbTTuk/5+1b58fUtPeE3lfCVNjrbRYL1puJWyB20q8uqqocLyhaH331vErYh0fFgfZGbEDlQw1tFfGQeUl1FA/I/a+J+JCLI6bmuFqvLeCoe1jato0sRz9HF0S7ou+vaaW9xLbNM5OfbGi7W9F+pDkvDxpUUq4FNmVWJ7H8unTlPh1rZ8Sb0rFS6ceIa4HWUWGrmqorXKib4dFLM+RLZJelUO/qOFYcU4cdkPkX6CG2kAHy9XHOnl4plp3ZZHV5tZHW66mf9lOTR6TfNtbnyS2Z3eR4R811B6JtsUJXR9irU+bYL+fepxou4bIUEXELUS8VsQHrJPafgfryF/E10Tf5HoZ2EsJtek/qumGa6zeUC2rLVP7oueRV/B8anhLdOZjNdRGimUznMPlvcOxcqLsCQfbRNzvab87yP+CYXv/q+ZtJ/qyzNnzlLjm6stF3wzrQT8n0oo5aMtTxHEi3izibCKWNzJG4po5+azat89t1sNMEfdWw/Ni2Qz3HsMeqmljHaxjzW4qcExss5dEfXoZa3rNU2rZvW5eh+T+Ml6kG29jhumBSpqGC2pmTZy49FJqLK81ldX7N+i31BDGAylStH1ViU+L5SjpYL3oL4mt8pLIsNh6/dc0cdLTt9ivW9wTYbc4j/mL85g49Sh1ZVXrmv5ATXd0v7ZQrJdOunoQaX3+UgvMsNMXmznDRLxRrRviZtAJ+mVxXxmgpseuFAVaqb3TuqjJ635W63tLFx9slU+mrUXhWLXupm7eC2gvKqFe9IQ16Zxa92Ox/TKJ7a2NUKvW84rz1sdq/hKivtPOnD82qGWPvKkmrxLZx4m6t4q23zFMm0MTv74CwE1RNrfeX83Q4js1ltfQ8mr5Qiet01edPIdGi7746Ml3DXaYc644t8gbW3mb82LiNcrrkr5dzKkvdi6MVqI4sZzye6aVzqzXCSIekvSiNsxmwGRCZGQk/BL4fo1sxX8nGRn5Dfz8vF0o/wAm02Cu8+cEfzlARERERERERERElKG4+kLiR8ndEUpDHBwgIiIiIiIiIiIiylBcfawQBweeJxwcICIiIiIiIiIiIspQODhAQKa07gAREREREREREREREaUu/nKAiIiIiIiIiIiIKENx9Z0DD5O7I5SGODhARERERERERERElKFkgWtfDfPr5OcJtyYRERERERERERFRhuLqOwdcKUPpFQcHiIiIiIiIiIiIiDIUDg4QoOm6rqd1JzIis9kMk8kEREYCfn426Yc1TYkXi/RTIq4t4iEe6mbVfdX6Gt5R82/9yjrd+Us1bREaKnE2bFXib0XbI0Qc4cwu1lbEv4r4JRGXUcPzK9TlLCLOV6HisWjlMMga6N8oaXIb3BZNvyrimSIeINYb9C1ITBnRVlg9sc62J1o0SfRpav1av+Q77PuKvk9rp6Z/vkyNpy6xtj2yo1p21GpReQvRz9VqfrTcq4R7tRpKXOO0ml0LsdZXpaVaV2/RdDex304Qyzn4qCgg+j5ulBoPN9TnKeqK3anmbVpXjf908zT9mqG9XflFYkE11A4611YNsSx7UV7NoIckWlZ/W2zPlaIvXsm3n+p/iba6qWHkGTU2icNVa+hkXw4b2n5FHH+ac3XFinXs+ZvI0EfEiwxtOeq3lluNo2+pcTaH3XOd1kgJ9U/Va4s21X7fl4r10t5wnOgb1LS4N9Wy8hpaobKY0V10tXfSt5leRmzvMFF2jxqer63mL/qlmr/rV2q6WBSMMUwfd3CuWCjW2SORLs97UgtR/nc711DJ5lwh2tKviPVWTPQlLvG69Y/F8R0mMojjXesg6t4s6jsk6qsgyjdNfD3p4kZFw7FE8z7N0FkJuxoPYADzxXqqYFiPO0RVub9X45afqHExkX+qqLuT2EYL5fXhijV/tMi7XNTtaF9yRBP1PzFcz7USia8TAPAXdW1y0BcdwWrb4g7vpKF+ecysEfEwB215ib7GOVpPl6yTYwPVssNlWbkfN86nxBoi1PRVYj83qaHT1z1j3fvVus9UV9NLfq7W/dYUNf86fYkh6qCkjRLrcNTXat3aUHFuGSaWc5yaLlLdov8uapPfm7wl16lYMS/st04XUJPuH1djH7H95b2Cl7iW6N1F30TT2nVrfvm5JFQ/omZe9YoSzmqtJveS53d5s4mratjP0J44f2ub1Q8Suj5RzXDrsBrnFuv4nFhuT9GVuYbpkYFq27iA5KTfU/syy/AVQE+9k5L2t6ZeC6rKz8Svq6GW3dF5Tn7IGmuZ2qap67DBdZH1kIgbidjTuXPFR4b9a4Y8j4kT+Nbr6jr7j6hrtYNzqL3jWxfnVO2ik+c8cc5FYzWsIo6jA3b6Ku8dAHE/Lo+ZIaLvE5LvM9Nk0e/PRb+Hi/SxHdXy2mI1v/He8feU/OrRbAZMJkRGRsIvge/XyFb8d5KRkavg5+fjQvlomEytuM6fE5nSugNERERERERERERERJS6+FghIiIiIiIiIiIiogyFLyQmbk0iIiIiIiIiIiKiDIbvHCAODhARERERERERERFlMBwcIA4OEBEREREREREREWUwWeDaF/38Ovl5wq1JRERERERERERElKHwnQMEZErrDhARERERERERERERUeri4IAT1q9fj4YNGyJXrlzw8fFBpUqV8P333+PJkydp3TUiIiIiIiIiIiKiJPJw4y/tPHjwAGPGjEG5cuWQNWtWvPDCC2jevDn27dvnUl2//fYbevTogRdffBE+Pj7w9vZGiRIl0Lt3b5w5c8ZhHYsXL0aNGjVgMpng5+eHGjVqYMmSJa4sWprg4EASTZgwAW+99Ra2bduGnDlzokSJEjh69Cj69u2Lli1bcoCAiIiIiIiIiIiInhHP3uBAdHQ0atWqhZEjR+Ls2bMoW7YsvLy8sGbNGtSqVQvLli1zqr5x48ahVatWmDt3Ls6ePYvixYujePHiuHTpEn788UdUrFgR69atS7T8hx9+iE6dOiE4OBj+/v4oVKgQgoOD8d577+Hjjz92d3FThabrup7WnUjvgoODUbNmTWiahsWLF6N9+/YAgKNHj6JJkyaIiIjApEmTMGDAgCTXaTabYTKZ8BEAr//NmzLRkOEFUWC4Gja9qsZviuz1RFz2ezWe/oka991onR71upqWXdTVXMR/iVg0hSNO7GJNNE2Jq4v03iJeLuJ+sq22IsOvaqgXsranrVHLhldW+5KvjahrvYhfE/EtNdT2J3096FnVtrUY+2Vzi/V2a5Oa/3wTNf2GYbqaWGedRF2LTGp660g1faWD7avPVPMjq2G6u8gs1hlyHFHCQtorSnwlj8jvJeLJaqi1b2jo2Ba4Q18gtlEXJ7ZvLrXsn3fU9AUi/7ci/lnEw0NF22VEe92t7a2cp6a1EdtPE9v/STnR2Fo11IqXV2f8G6LGchullfpqqH8v9svy3ZRQyzFXTb+rhmPFehouj4M5hrYOqXm3/ahmbejmZVjWr/3fIGsw+xs1cw9R9rJaNjJATTflVONxYl8VW1/ZV3en8O2FvF5sNF6cft+rpJm0Gkps7m2/b7HivDVUpF8T8TJnlnWOiD/4Rwn1D0ur6WGwG2vX3VjPoq4WZdXl/l0sVwuxzlcb9g/tdjJv7z0irpV4Vj/Rr8hgkUF+dqks7mS2/qGEWqNcSjwSt5V41DZDcEnU3UoNtezurZcGYtm2GreJpzj249S29BYi/Xfn+qK3F+WXJd81VCohlvOM2Pf0Wdb0nr3UsrMd3YcUEuf7gSJDP38l1CBusu3VLe6vsEn2ZawazvxSbcvBuchu24/E9rkr6pLXX08Rx6nhXbENTIbzg1bayX1nn+hbdQfb6H2R/+fE828V/ZTkNVXfIfKLD02O7rHtEufzVz5Q28orsm90eK2wnlw0NFBSfhLL3VOc1+Txb0MbrISemKjEcYa+2dYkbtD/q+5c2stinSOfmr/VDTVe9ZGo33D30ELsqOK+1eba4Cvi+qL3NcT2XyryZ7NOanlPqWl6Kbhjv9hm8jOX0hQ6izkL1XCNOEaa2d/eq0XbLfRdanmbD65W8rqzzdE51m4qoImvSHTD5zObo1nLLTLLD4eC2F30uPb2+2LYAfRlYp22c/N+fLWor6W97W2fXC8yv/2zYPIqKPaHq07e3+sRhvJ91DRtVTLeO5rNgMmEyMhI+Pn5JV+9z7H47yQjI4/Cz09+65eU8vdgMlVMk3X+4Ycf4qeffkKZMmWwceNGBAYG4smTJ5g8eTIGDx6MrFmz4tSpUyhcuHCS6hs+fDj27t2Lfv364fXXX4eX19MvliIiItCtWzesX78evr6+OH36NPLnz6+UXbZsGdq3bw8fHx+sWbMG9es//eJh27ZtaN68OaKjo7FixQq0bt06eVdCMuMvB5Jg7Nix0HUdPXr0sAwMAEDFihUxdepUAE9/WfDw4cO06iIRERERERERERFREmVx4y/1Xb9+HXPnPv2PfPPmzUNgYCAAIFOmTBg0aBAaNWqEmJgYTJ482V41ik8//RTbt29H8+bNLQMDAJAvXz4sW7YMefPmRVRUFJYulSPMT78vBoBhw4ZZBgYAoEGDBvjiiy8AAF999ZXzC5rKODjggNlsxtatWwEA3bvL/+YMtGnTBn5+frh16xZ27NiR2t0jIiIiIiIiIiIieq6tWbMGjx49QtmyZfHqq6/apMd/b7ty5cok15k7d+5E07Jnz47q1Z8+0+Sff9RffJ86dQonTpwAAHTr1s2mbPy8Y8eO2ZRNbzg44MCRI0cQFxcHb29vVKpUySbdw8MDVapUAQDs378/tbtHRERERERERERE5KRn650D8S8crlmzZoLp8fOvXbuGy5cvJ0ubDx48AABkzZpVmR/flxIlSiBfvnw25fLnz4/ixYsDSP/fF3NwwIHTp08DAAICApAlS8I/mylWrJiSNyGxsbEwm83KHxEREREREREREVHqc29wQH7PGRsbm6K9jf/eNf57WKlgwYLw9PRU8rojIiICu3Y9fW+LHJBw1BdjWnL0JSVxcMCBO3eevn0xZ86cieaJT4vPm5Dx48fDZDJZ/pL6YgwiIiIiIiIiIiKi5JUFrg0MPP3P04ULF1a+6xw/fnyK9tbRd7SapiFHjhxKXnd89tlniI2NRalSpdC8eXOn+mJMS46+pKS0eYPEMyT+5yPxI08JiX9hRUxMTKJ5hg4dis8++8wSm81mDhAQERERERERERFRGnD15cJPy1y+fBl+fn6WucYX+qaE5PqONilmzpyJX375BZkzZ8aCBQtsniaTmn1JaRwccMDb2xsAEBcXl2ie+J/NyOdPGXl5eaX4QUJERERERERERETkmKvvD3haxs/PTxkcsGfQoEFYs2aN0y3Nnz/f8vLh5PqO1pF169ahb9++AIAffvghwZcfp1ZfUgMHBxxIyk9AkvJTEiIiIiIiIiIiIqKM5tq1azh16pTT5aKjoy3Tjr6j1XUdd+/eVfI6a/fu3Wjbti0ePXqEr7/+Gr169Uow3/P0fTEHBxwoWbIkAODSpUt49OhRgi8lPnfunJI3KXRdBwAYx5fMDwyB/MXJEzV8KJJl9igRm0WGBzLdeqxBvj5EjiHec9D2YxHDiZcvPxKx7ItsWy6HTVtyRYlks3G9RqmJsq2ssi5dxDJdrggn1oNZ1u2g7BM5I9r+sij7h6jbZsxTV9PlYjrqm9z31LplZhFnUvdkuZxmOUPG92WDhj3MzZeC2yyXG9tXdlOuY4f7fZTcsUVo2Kg2q0T022aTyP1Ydkbu6PdE44n/wi51iZOL2eYkKfZ83f46dXjuMewfsupoCO7ui3JZjGfOGAf7xj27ydDEDiGXW+5Pymp2c7kckdcLs/HAMatrWe7XiHNw3hKxvBY5ex5U2JwT1Q0o9xebBbU5EbqxnsW+42i5bC6pxhWb3NtbHih2qrc5b8my8tbNLJbE5qBUa5TbX6nf5logq3Jvvdjs58b17OBeQS6ms9vIpnwyXkMlm/sYuSyG9Wxzn+LoPkRWbnMTbHNQ2a1PyWm7gew35sa9g8O2HV1/Hdxz2Zz/jecHZ/cdm+PXwTaSG9VOfpvD1aYyse/IAk7eY9sltqe8ZbJ7/CbI2Fk1r82u4/RyqGcym+uiobxtTeJmweYeSqxzRx9cbTe4nbwiljcemv2+2GwEeR+rbDSxYG6e52xuz+zUZ7Y5s4m8crkd9M02e9IvqnKVOTx+7abC5iJqvzqxZzraBjbZbS5cgmE/d3KdOuJMfc62lLJ31PY5uj47onzWcPO+xH5DT+uK/56Nks5sjoErvxww2/2iJ2GLFy/G4sWLnS5nVLJkSQQFBVm+h5WuXr1q+Z/8znxHG+/QoUN4++23ERMTg0GDBmHo0KF2+wIg0b4Y01zpS6rSya7IyEjdw8NDB6Dv37/fJj0uLk738/PTAeibNm1Kcr2XL1/W8fRyxj/+8Y9//OMf//jHP/7xj3/84x//+Mc//vHPxb/Lly8n59eBz7WYmBg9f/78bq3v/Pnz6zExMana75kzZ+oA9LJlyyaYvmzZMh2A7u/v73TdJ0+e1PPkyaMD0Hv16uUwf2hoqGVdhIeH26Rfv37dkn7q1Cmn+5Oa+MsBB/z8/NCwYUNs2LABc+fORdWqVZX0FStWwGw2I3fu3Khbt26S6/X398fly5eRPXt2aJr8Lw9E6Uv8C7Tly2aIyDU8poiSF48pouTFY4oo+fG4Ikpe8cfUpUuXoGka/P3907pLzwxvb2+cP3/e7vPyHfH09LQ8dz+1NGvWDJ988glCQ0MRHBxs8y6AuXPnAgBatWrlVL0XLlxAo0aNcPPmTXTo0AEzZsxwWKZMmTIoW7YsQkNDMW/ePJtfGcybNw8AUKFCBZQqVcqp/qQ2Tdf5uxtHgoKCULt2bWiahsWLF6N9+/YAgKNHj6JJkyaIiIjAN998g0GDBqVxT4lShtlshslkQmRkJG9kiZIBjymi5MVjiih58ZgiSn48roiSF4+pjKlnz56YPXs2ypQpg40bNyIwMBC6rmPy5MkYNGgQvL29cerUKQQEBCjlatWqhStXrmDy5Mlo3bq1ZX5ERARq1aqFM2fOoFmzZli1alWCj5RPyC+//IKOHTvCx8cHa9asQf369QEA27dvR7NmzRAdHY3ly5ejbdu2ybcCUgB/OZAENWvWxFdffYXhw4ejQ4cOGD58OHx9fRESEoInT57grbfewueff57W3SQiIiIiIiIiIiJ6Lk2ZMgUHDx7EkSNHUKpUKZQvXx43btzA1atXkTlzZsyZM8dmYAAArly5gosXLyIqSn0rzIgRI3DmzBkAT1+anNhTYd5880188cUXyrwOHTpg586dmD17Nho0aICyZcsCAEJDQwEAH374YbofGAA4OJBkw4YNQ8WKFfHtt9/i0KFDCA8PR4UKFdC1a1d8/PHHyJw5c1p3kYiIiIiIiIiIiOi5lD17dgQFBWHixIlYunQpTp48CV9fX7z99tsYOnSozaOGHImNtb45/eDBg4nmK1GiRILzZ82ahVq1amHmzJkICQkBAFSvXh19+vRBp06dnOpLWuFjhYjIodjYWIwfPx5Dhw6Fl5dXWneH6JnHY4ooefGYIkpePKaIkh+PK6LkxWOKKHlwcICIiIiIiIiIiIiIKIPJlNYdICIiIiIiIiIiIiKi1MXBASIiIiIiIiIiIiKiDIaDA0REREREREREREREGQwHB4iIiIiIiIiIiIiIMhgODhBlUOfPn8fs2bPxwQcfoGLFisiSJQs0TcPYsWMdlg0ODkbz5s3xwgsvIGvWrChXrhy++uorPHjwIBV6TpR+uXJcjRo1Cpqm2f0LCwtLxaUgSh90XceePXswcOBAVK9eHTly5ICnpyf8/f3RqlUr7Nixw255XquIVK4eU7xOESXu999/R69evVC5cmUUKFAAnp6eyJEjB2rUqIFp06YhLi4u0bK8ThHZcuWY4nWKyD1Z0roDRJQ2pk2bhmnTpjldbsmSJXj//ffx+PFjFCxYEIULF0ZISAhGjBiBtWvXYufOnciWLVsK9Jgo/XP1uAKAwoULIyAgIME0HlOUEW3fvh0NGzYEAGTKlAklSpSAj48PTp8+jd9++w2//fYbhg8fjq+++sqmLK9VRLbcOaYAXqeIEjJ58mQEBQXBy8sL/v7+qFixIq5fv47g4GAEBwdj0aJF2Lp1K3LkyKGU43WKKGGuHlMAr1NEruIvB4gyqDx58qBp06YYM2YMNmzYgFatWjksc+HCBXTv3h2PHz/GxIkTcfnyZRw+fBinT59G6dKlceDAAQwaNCgVek+UPrlyXMXr1q0b9uzZk+BfYje5RM8zXddRokQJzJgxAzdv3sSpU6dw+PBh3Lp1C0OHDgUAjB07FuvWrVPK8VpFlDBXj6l4vE4R2erRowd27NiBe/fu4dy5czhw4ACuXLmC4OBgFCpUCIcOHcKwYcOUMrxOESXOlWMqHq9TRK7h4ABRBjV8+HCsXbsWX375JV5//XX4+vo6LDNp0iTExsaicePGGDhwIDRNAwAEBgZi3rx5AIBZs2YhIiIiRftOlF65clwRUcKqVq2K0NBQ9O7dGzlz5rTM9/T0xNdff4033ngDADB79mylHK9VRAlz9ZgiosR16dIFdevWhYeHhzK/evXqmDp1KoCnj0kx4nWKKHGuHFNE5B4ODhBRkui6jtWrVwMAunfvbpNeo0YNlClTBg8fPsQff/yR2t0jIqLnjJ+fH7JkSfwJmI0aNQIA/PPPP5Z5vFYRJc6VY4qIXFemTBkAwP379y3zeJ0icl1CxxQRuY+DA0SUJJcuXcL169cBADVr1kwwT/z8/fv3p1q/iJ4XO3bsQJs2bVC/fn20bt0aEydORHh4eFp3iyjdin9hY9asWS3zeK0icl1Cx5QRr1NEzgkODgYAVKpUyTKP1yki1yV0TBnxOkXkGr6QmIiS5PTp0wBgeTFQQooVK6bkJaKk2717txKvWrUKo0aNwowZM9ClS5e06RRROqXrOlasWAFA/XKF1yoi1yR2TBnxOkXk2OPHj3H9+nWsWbMGQ4YMgY+PD8aPH29J53WKyDmOjikjXqeIXMNfDhBRkty5cwcAkCNHDstzMaX459fG5yUixwoUKIAvvvgCBw4cwK1bt3D//n0EBQXhjTfeQExMDLp164a1a9emdTeJ0pXZs2fjyJEj8PT0RP/+/S3zea0ick1ixxTA6xRRUnz33XfQNA1ZsmRB4cKF8dFHH6FBgwbYt28fqlatasnH6xRR0iT1mAJ4nSJyFwcHiChJ4n9q7unpmWgeLy8vAEBMTEyq9InoedCrVy+MGzcO//d//4dcuXIha9asqFGjBv7880+0bNkSuq7j008/ha7rad1VonTh8OHD6NevHwBg7NixKF68uCWN1yoi59k7pgBep4iSomDBgqhZsyaqVq2KfPnyAXj6iJOlS5fi8ePHlny8ThElTVKPKYDXKSJ3cXCAiJLE29sbABAXF5dontjYWACJP6uWiJJO0zRMmDABAHD27FkcO3YsjXtElPbOnz+Ppk2b4sGDB+jQoQMGDBigpPNaReQcR8eUPbxOEVm1adMGe/bswf79+xEeHo59+/ahSJEi+Prrr/Hxxx9b8vE6RZQ0ST2m7OF1iihpODhAREkS//PWu3fvJjriHv/T1/i8ROSeUqVKIVeuXACAM2fOpHFviNJWeHg4GjVqhOvXr+Ott97CggULbB7JwGsVUdIl5ZhyhNcpooRVq1YN69evh5eXF2bNmoWLFy8C4HWKyFWJHVOO8DpF5BgHB4goSUqWLAng6f9kuXbtWoJ5zp07p+QlIvd5eHgAAB49epTGPSFKO7dv30ajRo1w9uxZ1KlTBytWrLAcG0a8VhElTVKPqaTgdYooYf7+/nj55Zfx5MkTHD16FACvU0TuSOiYSgpep4js4+AAESVJQEAA8ufPDwAICgpKME/8/GrVqqVav4ieZzdv3sSNGzcAAIUKFUrj3hCljaioKLz55psICQlBlSpVsHbt2kQftcBrFZFjzhxTjvA6RWRf/JeR8f/yOkXkHnlMOcLrFJFjHBwgoiTRNA0tW7YEAMydO9cmfe/evQgLC4OHhweaNWuW2t0jei5NnToVuq7DZDKhSpUqad0dolQXGxuL5s2bY//+/Shfvjw2btyI7NmzJ5qf1yoi+5w9phzhdYoocRcuXLD87+aKFSsC4HWKyB0JHVOO8DpF5BgHB4goyQYOHAhPT09s3rwZkyZNsjwn8+LFi+jWrRsAoEePHpb/DUNE9p04cQJ9+vTBiRMnlPkPHjzA119/jW+++QYAMHjwYHh6eqZFF4nSzOPHj9GuXTts374dxYsXx5YtWyzPjLWH1yqihLlyTPE6RZS4Q4cOYeTIkZbHABlt3LgRb7zxBh49eoQ333wTxYsXt6TxOkWUMFeOKV6niNyn6Ym9BYeInmtBQUFo3ry5JY6KikJsbCyyZcum/LT8yJEjKFy4sCVeuHAhunbtiidPnqBgwYLImzcvQkJC8PDhQ1SuXBm7du2Cj49Pqi4LUXrh7HH13//+F6+88goA4IUXXkBAQAAAIDQ0FPfv3wcAdO/eHbNnz3b6JZFEz7qlS5eiQ4cOAJ4+dzlv3rwJ5itQoABWrFihzOO1isiWK8cUr1NEidu5cyfq1asHAMifPz8KFSqEuLg4XLp0CXfv3gUAVKlSBevXr0eePHmUsrxOEdly5ZjidYrIfRwcIMqgjBdee86fP48iRYoo8/bu3Yvx48dj7969iI6ORpEiRdC+fXsMHjwY3t7eKdRjovTP2ePq7t27+M9//mP5Cfm///6LuLg45M2bF9WrV0ePHj3QpEmTVOg5UfqzYMECdO3a1WG+wMBAXLhwwWY+r1VEKleOKV6niBJ3584dLFq0CNu2bcOJEycQERGBuLg45M6dGy+//DLatm2L9957D1myZEmwPK9TRCpXjilep4jcx8EBIiIiIiIiIiIiIqIMhu8cICIiIiIiIiIiIiLKYDg4QERERERERERERESUwXBwgIiIiIiIiIiIiIgog+HgABERERERERERERFRBsPBASIiIiIiIiIiIiKiDIaDA0REREREREREREREGQwHB4iIiIiIiIiIiIiIMhgODhARERERERERERERZTAcHCAiIiIiIiIiIiIiymA4OEBERERERERERERElMFwcICIiIiIMixN06Bpmlt1LFiwAJqmoUuXLk6V27lzJzRNQ926dRNNr1evHvz8/Cz9vHDhglt9JSIiIiIiipclrTtARERERBlLkSJFcPHiRWWel5cXChQogJo1a6Jfv36oUqVKGvUufThx4gSaNGmCuLg4FC1aFC+99BIAwNvbGzt37sTOnTtRt27dRAcWiIiIiIiIHOHgABERERGliZIlSyJv3rwAgMjISJw5cwZLlizBsmXLMH/+fHTq1CmNe5iysmXLhtKlSyMgIMAmbe7cuYiLi8Mnn3yC6dOnK2k//vgjRo8eDQAcHCAiIiIiIpfxsUJERERElCa++OIL7NmzB3v27MHx48dx7do1tG7dGo8fP8ZHH32EO3fupHUXU1TVqlURFhaGhQsX2qSFhYUBAN54443U7hYREREREWUQHBwgIiIionQhZ86cmDt3Lnx8fHDv3j1s3rw5rbuUZmJiYgAAWbNmTeOeEBERERHR84qDA0RERESUbvj5+aFUqVIAkODLdzdt2oRmzZohX7588PLyQqFChdC1a1ecPXs20TqPHTuG5s2bI2fOnPD19UW1atWwbNkyu/24ePEievXqhWLFisHLywvZs2dHsWLF0LJlS7tlY2NjMWrUKJQoUQLe3t4oXLgwPvvsM0RHR9vkTeiFxF26dIGmadi5cycAoF69epaXEcenxT9SaPTo0ZY0V16ITEREREREGRvfOUBERERE6cr9+/cBPH0mv1H//v0xbdo0AEDevHlRvnx5nD17FgsWLMBvv/2GDRs2oEaNGkqZ3bt34/XXX0dMTAz8/PxQtmxZXLp0Ce3bt8fly5cTbP/ChQuoUqUKbt68aXkvQObMmXHp0iX8/vvvOH/+PNq1a2dT7uHDh2jcuDH++usvlCtXDkWKFMHp06fx7bffIiQkJEm/hChVqhRq1qyJ48ePw2w248UXX4TJZFLSLl26hMuXL6Nw4cLK+wriB1WIiIiIiIiSgr8cICIiIqJ04/Tp05ZfAbz88suW+T/99BOmTZuGokWLYseOHYiIiMDhw4dx+/ZtjB07FmazGe+++y4ePHhgKRMdHY2OHTsiJiYGnTt3xvXr13HgwAFcvXoVU6ZMwbBhwxLsw5QpU3Dz5k28//77iIiIwLFjx3DkyBHcunULoaGh6NOnT4LlVqxYgZs3byIsLAwhISEICwtDUFAQ/Pz8sGXLFmzcuNHh8se/h+GVV14BAHz//feW9zLEp3Xr1g0A0K1bN0tafDoREREREVFScXCAiIiIiNKc2WzG1q1b0aJFCzx69Ag1a9ZE7dq1AQBxcXEYNWoUMmfOjFWrVimP4cmcOTOGDRuGVq1a4cqVK1ixYoUlbdmyZbhy5QoKFiyIOXPmWH6JkClTJnz22WeJvuz39OnTAIDPPvsMvr6+SlqZMmXQs2fPBMs9evQIP//8s/I/+KtXr44ePXoAADZs2ODkWiEiIiIiIko5HBwgIiIiojTRtWtXy/PyTSYTGjVqhLCwMLz77rtYu3atJV9wcDDCw8NRqVIly/+ol5o1awYA2LVrl2Xepk2bAADdu3eHh4eHTZnEfgFQuHBhAMDKlSuh63qSl+fll1/G//3f/9nMr1KlCgDg3LlzSa6LiIiIiIgopfGdA0RERESUJkqWLIm8efNC13WEh4fj3Llz8PDwQJUqVZAzZ05LvuPHjwN4+i6AWrVqJVjX3bt3AQBXr161zPvnn38AAGXLlk2wTGLzP/roI/z888/46quvsHDhQrz++uuoXbs26tWrB39//0SXp3jx4gnOz5s3LwAgKioq0bJERERERESpjYMDRERERJQmvvjiC3Tp0sUSBwUFoUWLFhgwYADy5cuH9957DwAQGRkJAPj333/x77//2q0zJibGMh3/ZfwLL7yQYN58+fIlOP/ll1/G7t27MXLkSGzfvh0//fQTfvrpJ2iahkaNGuG7775LcGDBx8cnwfoyZXr6Y11nfoVARERERESU0vhYIVYLQwcAAAPISURBVCIiIiJKF2rWrInZs2cDAPr16wez2QwAluf+d+zYEbqu2/3buXOnpb74cokNKNy4cSPRvlSvXh2bNm3CnTt3sHHjRgwePBiFChXC5s2b0ahRI8svFYiIiIiIiJ5VHBwgIiIionSjRYsWqF69Om7fvo2pU6cCAMqVKwcACAkJcaqu+BcDh4WFJZgeGhrqsA5fX180adIEEyZMQFhYGIoXL46rV6+m6cuFNU1Ls7aJiIiIiOj5wcEBIiIiIkpXhgwZAgCYPn06oqKiULt2beTJkwdHjx5VfhngSOPGjQEAc+fOxcOHD23SZ8yY4VS/smXLhgoVKgAArl275lTZ5JQ1a1YA6iOUiIiIiIiInMXBASIiIiJKV5o1a4ayZcvizp07mDlzJry9vTFmzBgAQJs2bbB69Wqb5/eHhIRg8ODBCAoKssxr3749ChYsiCtXrqBXr16WL9N1Xce0adOwfv36BNvv3bs3li9fjvv37yvzd+/ejW3btgEAKlWqlGzL66xixYoBAPbu3YtHjx6lWT+IiIiIiOjZxsEBIiIiIkpXNE3DgAEDAABTp07FgwcP0Lt3bwwZMgQ3b97EO++8gzx58qBq1aqoXLkycufOjQoVKmDixIm4d++epR4fHx8sWrQIXl5emD9/PvLnz4+qVavC398f/fv3x7hx4xJsPzg4GO3atYPJZEK5cuVQrVo1FClSBHXq1MG9e/fw3nvvoV69eqmyLhLSuHFj5MyZE3v27EFAQABq1aqFunXrYsKECWnWJyIiIiIievZwcICIiIiI0p333nsP/v7+CA8Px7x58wAA48ePR1BQEDp06AAfHx8cPXoUFy5cQKFChdCtWzf8+eefaNCggVJPvXr1sG/fPrz99tvQNA0nT55E4cKFsXTpUgwcODDBtr/99lv069cPL730Em7evIn//ve/AIAmTZpgzZo1WLhwYYouuyN+fn7YvHkz3njjDcTGxiI4OBi7du1K9N0KRERERERECdF0+ZtsIiIiIiIiIiIiIiJ6rvGXA0REREREREREREREGQwHB4iIiIiIiIiIiIiIMhgODhARERERERERERERZTAcHCAiIiIiIiIiIiIiymA4OEBERERERERERERElMFwcICIiIiIiIiIiIiIKIPh4AARERERERERERERUQbDwQEiIiIiIiIiIiIiogyGgwNERERERERERERERBkMBweIiIiIiIiIiIiIiDIYDg4QEREREREREREREWUwHBwgIiIiIiIiIiIiIspgODhARERERERERERERJTB/D+f1c7e77iX6QAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_redshift_slice(\n", " lc,\n", " box_len,\n", " lc_redshifts,\n", " transform2slice=lc2slice_x(idx=15),\n", " title=\"Slice in x-direction\",\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The default colormap forces 0 to be black (which makes sense for lightcones). \n", "However, since we're dealing with test data here, we can set the colorbar range manually via `vmin` and `vmax`:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_redshift_slice(\n", " lc,\n", " box_len,\n", " lc_redshifts,\n", " transform2slice=lc2slice_x(idx=15),\n", " title=\"Slice in x-direction\",\n", " vmin=-0.5,\n", " vmax=0.5,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, let's also check the lightcone if we take a slice along the y-axis instead:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_redshift_slice(\n", " lc,\n", " box_len,\n", " lc_redshifts,\n", " transform2slice=lc2slice_y(idx=15),\n", " title=\"Slice in y-direction\",\n", " vmin=-0.5,\n", " vmax=0.5,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To calculate the power spectrum of the lightcone, we use the `calculate_ps_lightcone` function,\n", "which has a key difference compared to `calculate_ps_coeval`, in that it can split the \n", "lightcone into multiple 'chunks' along the line-of-sight (redshift) axis, and computes\n", "the power spectrum of each chunk separately. This is usually what is desired from \n", "a lightcone, where spectra are calculated in smaller chunks that approximate the \n", "underlying spectrum at a particular redshift. \n", "\n", "You have control over the redshifts at the centre of each chunk, and how large the chunk\n", "is (in terms of number of slices). By default the chunk size is chosen to yield cubic\n", "chunks (i.e. the same number of chunks in the line-of-sight as there are pixels in the \n", "transverse dimensions)." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "# We compute the power spectrum at the central redshift of each mock \"ceoval\"\n", "# that we stitched together.\n", "ps_redshifts = lc_redshifts[16::32]\n", "ps1d, ps2d = tuesday.core.calculate_ps_lc(\n", " lc * un.dimensionless_unscaled,\n", " box_length=200.0 * un.Mpc,\n", " lc_redshifts=lc_redshifts,\n", " ps_redshifts=ps_redshifts,\n", " calc_2d=True,\n", " calc_1d=True,\n", " deltasq=False,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now the outputs are both lists containing multiple `SphericalPS` and `CylindricalPS` instances, respectively. \n", "Each of these PS corresponds to one of the redshift chunks we defined above." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's use the same plotting function we used above to plot the spherically-averaged\n", "power spectrum of each chunk, along with the analytic input:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1, figsize=(18, 7))\n", "all_analytic = []\n", "for i, (z, ps) in enumerate(zip(ps_redshifts, ps1d, strict=False)):\n", " ax = tuesday.core.plot_power_spectrum(\n", " ps,\n", " fontsize=20,\n", " ax=ax,\n", " color=f\"C{i}\",\n", " legend=f\"z = {z:.1f}\",\n", " legend_kwargs={\"frameon\": False},\n", " logx=True,\n", " logy=True,\n", " )\n", " analytic = tuesday.core.SphericalPS(\n", " ps=(i + 1) * 0.1 * ps.k.value**-2.0 * ps.ps.unit,\n", " k=ps.k,\n", " redshift=z,\n", " )\n", " all_analytic.append(analytic)\n", " ax = tuesday.core.plot_power_spectrum(\n", " analytic,\n", " fontsize=22,\n", " ax=ax,\n", " color=\"k\",\n", " legend=None,\n", " legend_kwargs=None,\n", " logx=True,\n", " logy=True,\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also plot the PS vs redshift for a given $k$ bin via the `at_k` argument by supplying multiple `SphericalPS` instances at once. The `at_k` argument can take an `int` that corresponds to the k-bin index you want to plot. Otherwise, it can take a `float`, which corresponds to the $k$ value you want in the same units as the wavemodes supplied to the `SphericalPS` instances. If you supply multiple `SphericalPS` instances, but not `at_k`, then it automatically plots the first $k$ bin that is not NaN:" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Not supplying at_k will plot the first k-bin that is not NaN:\n", "fig, ax = plt.subplots(1, 1, figsize=(18, 7))\n", "\n", "ax = tuesday.core.plot_power_spectrum(\n", " ps1d,\n", " at_k=0.05,\n", " fontsize=20,\n", " ax=ax,\n", " color=f\"r\",\n", " legend=f\"k ~ 0.05\",\n", " legend_kwargs={\"frameon\": False},\n", " logx=False,\n", " logy=False,\n", " )\n", "\n", "ax = tuesday.core.plot_power_spectrum(\n", " all_analytic,\n", " at_k=0.05,\n", " fontsize=22,\n", " ax=ax,\n", " color=\"k\",\n", " legend=None,\n", " legend_kwargs=None,\n", " logx=False,\n", " logy=False,\n", ")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Must supply the k-bin value you want to plot with at_k:\n", "at_k = 0.5\n", "fig, ax = plt.subplots(1, 1, figsize=(18, 7))\n", "\n", "ax = tuesday.core.plot_power_spectrum(\n", " ps1d,\n", " fontsize=20,\n", " ax=ax,\n", " color=f\"r\",\n", " at_k=at_k,\n", " legend=f\"k ~ \"+str(at_k),\n", " legend_kwargs={\"frameon\": False},\n", " logx=False,\n", " logy=False,\n", " )\n", "\n", "ax = tuesday.core.plot_power_spectrum(\n", " all_analytic,\n", " fontsize=22,\n", " ax=ax,\n", " color=\"k\",\n", " at_k=at_k,\n", " legend=None,\n", " legend_kwargs=None,\n", " logx=False,\n", " logy=False,\n", ")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = tuesday.core.plot_power_spectrum(\n", " ps2d[-1],\n", " logx=True,\n", " logy=True,\n", " logc=True,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also rebin this 2D PS to have log bins in kpar as well:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/dani/miniconda3/envs/21cmFAST/lib/python3.11/site-packages/tuesday/core/summaries/powerspectra.py:717: RuntimeWarning: Mean of empty slice\n", " final_ps[..., i] = np.nanmean(ps.ps.value[..., m], axis=-1)\n" ] } ], "source": [ "ps1d, ps2d = tuesday.core.calculate_ps_lc(\n", " lc * un.dimensionless_unscaled,\n", " box_length=200.0 * un.Mpc,\n", " lc_redshifts=lc_redshifts,\n", " ps_redshifts=ps_redshifts,\n", " calc_2d=True,\n", " calc_1d=False,\n", " deltasq=False,\n", " transform_ps2d=tuesday.core.bin_kpar(\n", " bins_kpar=10, log_kpar=True, interp_kpar=False\n", " ),\n", ")" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = tuesday.core.plot_power_spectrum(\n", " ps2d[0],\n", " logx=True,\n", " logy=True,\n", " logc=True,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can crop some of the empty bins:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "ps1d, ps2d = tuesday.core.calculate_ps_lc(\n", " lc * un.dimensionless_unscaled,\n", " box_length=200.0 * un.Mpc,\n", " lc_redshifts=lc_redshifts,\n", " ps_redshifts=ps_redshifts,\n", " calc_2d=True,\n", " calc_1d=True,\n", " deltasq=False,\n", " transform_ps2d=tuesday.core.bin_kpar(\n", " bins_kpar=10, log_kpar=True, interp_kpar=False, crop_kpar=(4, 11)\n", " ),\n", ")" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = tuesday.core.plot_power_spectrum(\n", " ps2d[-1],\n", " logx=True,\n", " logy=True,\n", " logc=True,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we don't interpolate, we end up with many empty bins in kpar!\n", "Let's try interpolating:" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "ps1d, ps2d = tuesday.core.calculate_ps_lc(\n", " lc * un.dimensionless_unscaled,\n", " box_length=200.0 * un.Mpc,\n", " lc_redshifts=lc_redshifts,\n", " ps_redshifts=ps_redshifts,\n", " calc_2d=True,\n", " calc_1d=True,\n", " deltasq=None,\n", " transform_ps2d=tuesday.core.bin_kpar(bins_kpar=10, log_kpar=True, interp_kpar=True),\n", ")" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = tuesday.core.plot_power_spectrum(\n", " ps2d[-1],\n", " logx=True,\n", " logy=True,\n", " logc=True,\n", ")" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "21cmFAST", "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": "3.11.12" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autoclose": true, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 2 }