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Last active August 17, 2022 16:40
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Spatial kernel density estimation wrapper
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"metadata": {
"name": ""
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"nbformat": 3,
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"worksheets": [
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"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# KDE for spatial data\n",
"\n",
"* [Dani Arribas-Bel](http://twitter.com/darribas)\n",
"\n",
"This notebook presents a wrapper funtion to easily create kernel density maps from XY locations. As an additional feature, the surface obtained can be embedded into the boundaries of a `.shp` file.\n",
"\n",
"The heavy-lifting of the kernel density estimation (KDE) is carried out by the estimator implemented in `sklearn`, and it leverages spatial functionality in `PySAL` for the boundary clipping. For an in-depth comparison of KDE implementations in Python as well as more intuition of the methodology behind it, please refer to [this post](http://jakevdp.github.io/blog/2013/12/01/kernel-density-estimation/) by Jake VanderPlas, which was a great source of information and inspiration for this notebook."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Access, License & Dependencies\n",
"\n",
"The main functionality is implemented in a separate file named `kde_maps.py`. Both this notebook and the file with the code are posted as a Gist on [this URL](https://gist.github.com/darribas/9109901). The notebook is available under Creative Commons (see at the bottom) and the code is released under a BSD-like license (see the file).\n",
"\n",
"You will need the following dependencies to use the functionality in `kde_maps.py` and to run this notebook:\n",
"\n",
"* [`numpy`](http://numpy.org)\n",
"* [`matplotlib`](http://matplotlib.org)\n",
"* [`sklearn`](http://scikit-learn.org)\n",
"* [`PySAL`](http://pysal.org)\n",
"* The method [`pip_xy_shp_multi`](https://github.com/GeoDaSandbox/sandbox/blob/master/pyGDsandbox/geo_tools.py#L130), part of the [`pyGDsandbox` repository](https://github.com/GeoDaSandbox/sandbox). If this is not available, the module will work except for the case when the output surface is to be clipped by a shapefile.\n",
"\n",
"For the notebook, all we need to import is the main method in `kde_maps.py`, which we assume is on the same folder as this file, `pyplot`, `numpy` and the mapping functionality in `PySAL`:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from kde_maps import kde_grid\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import pysal as ps\n",
"from pysal.contrib.viz import mapping as maps"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 18
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Maps without boundaries\n",
"\n",
"The following is an example with random data that creates a kernel surface without any boundary constraint and plots it.\n",
"\n",
"We first create the original points on which we are going to calculate the kernel (`pts`) and then estimate the surface:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pts = np.random.random((100, 2))\n",
"xyz, gdim = kde_grid(pts, spaced=0.03)\n",
"\n",
"x = xyz[:, 0].reshape(gdim)\n",
"y = xyz[:, 1].reshape(gdim)\n",
"z = xyz[:, 2].reshape(gdim)\n",
"\n",
"levels = np.linspace(0, z.max(), 25)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Finding optimal bandwith (3-fold cross-validation): 0.15 secs\n",
"Creating grid: 0.00 secs\n",
"Evaluating kernel in grid points: 0.01 secs\n"
]
}
],
"prompt_number": 8
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we can display the surface as a filled contour and compare it with the original points:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"f = plt.figure(figsize=(8, 4))\n",
"\n",
"ax1 = f.add_subplot(121)\n",
"ax1.contourf(x, y, z, levels=levels, cmap=plt.cm.bone)\n",
"ax1.set_title(\"KDE\")\n",
"\n",
"ax2 = f.add_subplot(122)\n",
"ax2.scatter(pts[:, 0], pts[:, 1])\n",
"ax2.set_title(\"Original points\")\n",
"\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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A6OOnn34iJqYSqamrgQ9Qq7czadI0m9ucyebNu1GrJwOBQCXU6gls3rw725jK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\ngg==\n",
"text": [
"<matplotlib.figure.Figure at 0x1052e1150>"
]
}
],
"prompt_number": 16
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Maps within boundaries\n",
"\n",
"In this example, we are going to visualize the density of counties in the US. For that, we will use the boundary file available in the examples folder of `PySAL` (`NAT.shp`). We extract the centroids from the polygons and create a kernel density based on them. Note that, being more than 3,000 points, clipping the grid of the surface and displaying the polygons may take a few seconds.\n",
"\n",
"Before getting into the estimation, let us quickly visualize the geography we are considering:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"link = ps.examples.get_path(\"NAT.shp\")\n",
"maps.plot_poly_lines(link)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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S0hKq1SoymQzcbjdLAe7s7ODm5gYOhwM+n48N6MvLCyRJgt/vRzqdRiqVmmNG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\nRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x10a331a90>"
]
}
],
"prompt_number": 36
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Similarly as before, we can now compute the kernel:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"cents = np.array([poly.centroid for poly in ps.open(link)])\n",
"xyz, gdim = kde_grid(cents, shp_link=link, spaced=0.01)\n",
"\n",
"x = xyz[:, 0].reshape(gdim)\n",
"y = xyz[:, 1].reshape(gdim)\n",
"z = xyz[:, 2].reshape(gdim)\n",
"\n",
"levels = np.linspace(0, z.max(), 25)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Finding optimal bandwith (3-fold cross-validation): 7.64 secs\n",
"\t"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"2.89226078987 secs to build rtree\n"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\t23.6726560593 secs to get correspondences\n",
"\t0.000591993331909 secs to convert correspondences\n",
"Creating grid: 26.59 secs\n",
"Evaluating kernel in grid points: 1.17 secs"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n"
]
}
],
"prompt_number": 41
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And plot the surface next to the original one:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"shp = ps.open(link)\n",
"\n",
"f = plt.figure(figsize=(12, 4))\n",
"\n",
"ax1 = f.add_subplot(121)\n",
"base = maps.map_poly_shp(shp)\n",
"base.set_facecolor('none')\n",
"base.set_edgecolor('0.7')\n",
"ax1 = maps.setup_ax([base], ax=ax1)\n",
"ax1.contourf(x, y, z, levels=levels, cmap=plt.cm.Greys, alpha=0.75)\n",
"ax1.set_title(\"KDE\")\n",
"\n",
"ax2 = f.add_subplot(122)\n",
"base = maps.map_poly_shp(shp)\n",
"base.set_facecolor('none')\n",
"base.set_edgecolor('0.7')\n",
"ax2 = maps.setup_ax([base], ax=ax2)\n",
"ax2.scatter(cents[:, 0], cents[:, 1], linewidth=0, c='k')\n",
"ax2.set_title(\"Original points\")\n",
"\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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37t3bWQhFcpbb7ZYC/dChQxH7aLVarrzySux2O3v27Gn3bjMYDOh0OubOncue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e3muXPnoqCggJ3a6OhoiaMqk8kQFRWF/Px8Hj/7Yioxm0EUMD8/v9tKM9rbv8tpnTFjBi5duoTq\n6mpERUXh6tWrkrT/rYrE/P39Jd3UADB98U6lI51ZRETEH04NoLGxEcuXL8eZM2cQHByMRx55BEuX\nLsV9992HlpYWzJ07F5mZmYiOjobFYsF9993HvOPIyEhERUWhtLTUIUPduXNnxMTE4P3338elS5fw\n888/AwDWrVsHDw8PHDhwAO+9994tz02n02HgwIGoqqpCbW0t+vXrh6CgoN91fXfkrFosFri7u2PU\nqFEAbm7q5MBQCtdoNEKtVkv4qW5ubvxvseCFjGQpRA4SAE4lU6pa7CxETgcVEokpe+Cmk0yfp3MV\nUR3RRCeKEEexcMRgMMBisfA52EevZORIOzOTycS8Wrlczkg0GXFjb8XbcFYxbh9F21MY7McGgFPh\nb1Efl5BBq9UKlUol4aMC0k5dNBaig0LOqai9CdwcN+pYRS1ICfWm10n6iV5TKBSorq5m1JSCBtHE\n5gn0N503IZzkbPr4+HCBk06nkxSSkZQYSeZYrVbWDXXGR87NzeUGAsTfFhs60HiIc8toNPJ4azQa\n1NfXw8XFBdXV1WjXrt3/ON+ypqYGFy9eRHx8PHx8fDgAAlrnk1Kp5HGhSn2iWgBgBJyCKRp3cS7Q\ns0JBntFoRGNjI9RqNSwWC7y9vWGxWJCamooePXowMkspR3oWRZT8rklNLpdj9OjRcHNz405J586d\nw4oVK1BaWorJkydj6dKlaN++Pfz8/HD27FmYTCZcvHgRmzdvRlVVFfR6PZKSkiTHvXr1Kh5//HGU\nlJQAAAYOHIiBAweioaEBBoMBgwcPxm+//YbY2Fj+TkxMDGJiYrB161YHJy4tLQ0rVqxgxHXu3Ll4\n9NFHUV9fj8rKSvTq1Qvffvstf55QsurqaqhUKkRGRuLKlStYtGgRfvzxR+aWTpkyBRcvXpSsgcHB\nwdi/fz/Wrl0LlUrFjkxxcTFCQ0MlNDGz2czXXlJSApVKhZaWFnz88ceorq7GyJEj0aNHDxgMBjz6\n6KMckD300EP46quv0KdPH0Z6gVZHlNYjaukcGhqK1atX49SpU8wxPHToEJYuXcpZpgMHDjB9YurU\nqUhMTER+fj48PDzwxBNPsONGz8u2bdvwzTffoLCwEDqdToK+2uuJ2mw2Cd0AcEzf0jNLew2t0b/X\nbueo0vpA3HVaM0+fPo2GhgaUlpbi0qVLDnv4rdQMampqkJ2dLeni9uCDD/5HjqpGo8Hp06ehVCpR\nUlICf3////Fg2Wg04q233sKnn34KoHVfqqqqwoYNGxAWFoYOHTogJyeHJSDF5jX0+basqKgIJpMJ\nQ4YMwbx58xAZGYnS0lJ07NiRC5lvZ0T7i4qK+rfX7DvaFcV+91VVVWjfvj2n+Ml5IseSJqTBYGDO\npdj2klIvZFQ9TUUX5Djap5idOWr0W6IMCskNkZFGqKur6y01WLVaLVcpk2MtOmUy2U1ZKDo3+6IY\nV1dXdngoZUnfEXVNid8pmru7O8tD2RtVzNvfYGpjSKbT6aBQKNrkVYrW0tICo9HIUlUUTVEbXbVa\njZqaGnboqDUfLSBiUwhRkouq2mmD8PPzY2eMJKaoLa7RaGQU1d/fn+kYRMUgfV1Ke5F+Kwn1+/v7\ns2NDDyFxpwBwWtlms/GY1NfXs5wSoXb00KpUKgk6LM63mpoaDBgwwGEcKyoqMGDAABQUFLDeYHl5\nOUt10TXU1NTA29sbWq2WaQEA2AGnlsD5+fkY+v+x993hUZZZ+/fUtJlkJo2EJEAoUgKoiBQpFkQU\nV6y4Fvwsa0HZn+uuq64FG35iF1E/FVxwQcAuq64oZZGOSJMiJXRIz2QyLZlJZjK/P3Ldh+d9M2mA\n7u73ea6LS/POzFue9yn3c8597jNs2L+Uw8qqYQcPHkRmZqZwSJmlrwr465MlOSb0Xi4CcL5Xftfv\n9zeRX+Ncwwn0p59+QkFBgfDU1fnjV6DavHHDeeDAAWRkZMBut2Pq1KlYt24dAOCtt95CQUEBJk2a\nBAASUbrssstk/G7fvh3XX3+9JEUBwMiRI6VcNBNfotEoioqKNBuSWFxDZrjrTaUGzJs3D2PGjIHT\n6cSGDRtw++23w+PxYMWKFRg4cKB4eblmsF9WVlbilltuwbx588RDe9ZZZ2H69OmoqanBoEGDYLfb\ncf3118u9jRs3DjNnzsSuXbtgs9lEkspqtWLt2rUSzTEajRg9ejSuvvpqyf5funQpPvjgA3g8Ho1i\nCOfVq6++GgUFBVizZg2GDBmCM844A5FIBE8//TSWLFmC7OxszJ07F3369MEDDzwgv3///fc1AGDr\n1q0444wzsH37diQlJeHll1/GsWPHpCrXQw89JN9dvXo1evXqhQ8++KDlznGS1pLCzImaXnGHx/TJ\nVe3xztpsNo3SRENDA7788suTus+cnBxs2bIF/fv3h8fjwejRo/Hpp5+edNLWyZjZbG4S+Ttw4AC+\n+OILDBo0SNqsQ4cOMJlMqKioaFH9gXQuoHFzwo3pCy+8IE6KuLg43H///TGLXOjtqquukgp1Jzpn\ntwms1tbWwuv1oqGhQarLpKWliXapavHx8dJoKjCksLff75ekG/JXmfmtckCtViuSk5NFHipWdQMu\nfNRs1U+ODF3qjckhsTTweE8EmgSgnIBU04vL09TSpurinJycjJqaGtTX18Pr9SIxMbGJFy3WQGzP\n4GTBg1i/M5vNmgHF6kMAJElMzYpXz2EwGGCz2STb3WAwaCpXABCQTs5iNBoVYEjtVNVjqoJkNRzP\nRbahoUHkWSiZRO9zKBSCy+US3UD2Q25IOAiTk5M1nhXyV9n+rFylVlHjrpsbJCoDxKJNOBwOHDp0\nSH7L63LjRYUDdfDTc5Ceng6g0aNrt9vRp08frFy5UsbXv8oSExORnZ0t1arI06Y3nPQIp9MpSYX6\njRsTBvUScKFQCElJSfB4PEJXUROn2Df0tcn37t0Lp9PZpO78rxbbuBlTkyAGDRqE/fv3a77Hv/ft\n2ydjVB0vRUVF6N27N+655x7s2bMHl156Ke677z784x//EGULmt1ux7Bhw2A2m7Fo0aKYEQL2edX0\niyaTcGk//PADRo4ciTFjxuD888+XcVhdXY1nn30Whw8fxoABA3Dttdfitddekzn/0Ucf1cz/X375\nJb766ivNvFhVVYWqqipYrVbxgtJjW1NTg5qaGvzlL39BSUkJLr74YixdulR+Gw6HsWHDBowcORJ9\n+/YVD2deXp54kO6++27cfffdABqB5CeffCK0hpKSEjzwwAN4+umnsWHDBqxZswZbtmyRCCDvMzc3\nFwkJCTCZTHC73fjss8/g9XoxYcIE2O32JvO8XvtVVVRpCaD8bzJGYD/66CNkZGTIcaPRiA4dOpww\nB9ZkMuHpp5/GbbfdJnjgm2++wcyZM/GHP/zhlNz7iZjRaMQVV1yBmTNnyvsNhUKYMWMGPv74Y3z2\n2Wfw+/1C7+rWrRvee+89PP300+JY2bZtG4DGtsvJyRH+tN643odCIcyZM0ciGbGsU6dOePjhh3Hn\nnXee9DO2CawGg0EMHz5cFhLguDSVw+FosoiTNqAay2oSqKrZhkzoack4yNRrMfTLewSOgwUmfrFK\nlToBMxRbVVWF5ORkmVQpt5OcnKwBpjabTerEE7w0B1TVa6hanU6nEyaTSSp91NXViYctMTExZsIP\nTW2r1kz1fKlG2SF9whvD7OqkTjANHKd6EFzwdykpKSgvL4fJZJKqTCpgBCAhcVICSBvgRKzSC9SN\nCtUbeA9xcXEChFXZK75rUkaoHpCUlCSe37KyMsTHx2s8ffyunqPFsH8kEkFqaqo8e0s7ZrUcrFo1\nRQ++CdqoxWu1WpGbm4s1a9YgOztbjnfs2BGlpaX/UrAKQHRj6W1TxwgFzxnGV3nnQNOwHD3uoVAI\nJpNJUx7T4XBoaAbBYBAOhwOZmZnCu0tISMCAAQNalYX71Y4b2zcxMRGDBw/GihUrsGHDBvTv319C\nwSaTCePGjQPQ6Nl0OBwCjPj73NxcnH766ejTpw8qKyvRtWtX8fqPHDmy3eHPm2++Gf/85z8lovOb\n3/wGF198MQoLC/Hyyy/DbDbjoYcewvjx4zUVdCip9/XXX6N3797o1q0bXnnlFSl/unjx4ibzWCxH\nhUpdAhoLInTs2FESTc8++2xs2LAB4XAYBQUFuPjii2XRXrhwIXJycjRj+7TTToPBYMB3332H1157\nDfX19Zg0aRIOHz4cExTqK6txXVq0aBGefPJJOX7BBRdg3759SEpKErmwcDiMyZMni2TT6tWrMW3a\nNAwdOlS85WeccQZ69+6tKQublZUlYPVUAVV1/m2JixqLBqb//9bsRLiuXLOY+a7aiBEj8OGHH8pz\n0OHVVummhoaGJkUQYl3nl7ZOnTphzpw5+PDDD7Fw4UI57na7sW3bNixcuFCqduXl5eGOO+7Aueee\ni/z8fPTo0QNvvPEGdu3ahdzcXImIkhZHzVr9e9NvSBMSEhAKhdC5c2dMnz4dY8eOPWXFbtoEVsnX\nYzJTenq6SAapyRCqkcsGHA+jGwwGmdya43a2Zno6APmfwHEtT1aiIpBSJTEYeub32OlUqSjeM7mq\n/JyZzXy+5riFLI0KQDx2BMImk0muQ45XXV0d0tLSmh3ADLW3ZMFgUACX3gtNjym91DS11Cw5iOpC\nBRxPWNJ7vXlfqpIDf8tjDH8Hg0HRw2UVsEAgIEDF7XZLmJ7eUoY1bDYbkpKSpLAAQ+mUfLLZbBo+\nqcvlEioEn1VfhlatjAQcX0BUZQpVNcFiscQs30lViyFDhuDQoUMIBoNIS0tDSUkJUlJSJLSZlpYG\nl8slyW0Edzt37kRCQoKUh928eTOARh63vkzkv8Io5A9ooyTqgqceV/sJNXKrq6tF8svtdgulh+PT\n4/EIB52i/l6vFy6XC+eccw4OHjyI3r17/0tDbP+JxkQ+1vEeO3YsSktLYTKZUFBQgJqaGlxyySUY\nOXIkAGg0gWfOnIm3334biYmJeOihh5CRkQGDobHs84EDB6RC1YmE89atWyeOgHA4jFWrViEnJwdj\nx47FxRdfDJ/Ph8svvxxGoxFHjx6VzGaG8levXo3t27fj0KFDmuQpnk/V+2xOOzI3NxdXX321hDE3\nbdokCzbQyIndtm0bqqurm3jgxo0bh23btqGyshJ33XUXRo0ahV27diEtLQ1PP/20fO/YsWMxgfyl\nl16KL774QqTYJk6cCIPB0ITHGwqF8OabbwJoTHYsLi5GTU2NRlu0rq4OK1euxPr16+WY0WjE1Vdf\nDY/Hgx07dqB79+6IRCJNuKona+oc0BKQVD9T17a2AlWz2YwHHngAO3fuhN/vR2pqKj755JM236f+\n/fn9fg3/mc/RVqAaiUTw3HPPITMzUwCc3W5Hr1692nxPP5cVFxdjz549uOyyy7Bs2TJNMR+Px6Mp\nL3v06FE88cQT8n5uueUWrF27Vqox0iwWC2bMmAG3243ly5fj66+/lrUwIyNDypIzYjZnzhx069YN\nWVlZ7U6gas3aBFZdLhdycnLg8/mQlJQk2qKBQABerxdms1k8mPSgqZMfuWaAtqIUG6qtJUJjhTAI\nGAiCWAVHlU8i4GIYkuLk9AgC0Hiy9NWY1DAlvXvs3JTjas6YMEIZLd4XvazBYBCBQECSrwiS9c9I\nUrJKddBPGATWqscagIBFeoPZXnqPIwBJqGISViAQkGckvYOhezWRDtB6R5lwFQgExMtMaS7+prlS\nrXV1dSguLhZuDLOa+RuVJlBaWir0BH7H6/XKO6HcmSpSH4lENH2Jiy43QtFoo6YuZZSKiopiDjz2\nKbUEb0VFhSb0rW6sSD+gri49/waDQeoph0KhJgvXL21utxuhUEhC/sFgEImJiRpd02AwqCn1aDab\nER8fLxsEKkKwT9DzrtZ6Z6JWdXW1JGISYJjNZqSmprYacfnVYltlZSUCgQA2b94Mp9OJYcOGISsr\nCxaLBWeeeSYcDoeUDS4vL5cFaNeuXXA6nXjooYfEU8kEHDWBMVYlN73FAjH6ZLcid20AACAASURB\nVAyXy4U333wTCxYswMsvv4yKigo8+uij6NOnD/785z/LXHPs2DHcfffduOmmm+Dz+XDppZfipptu\nwuTJkwE0juERI0Zg/Pjx+PLLL2G1WjF8+HA89dRTUrCFGsrTpk3DlVde2ex9d+zYEQcOHEBxcTHO\nP/984Tg6nU7cd999SEtLw7p165CWlobKykoN7119Ts4dnJdCoRBSU1Px5Zdf4ocffkCnTp1E/qpr\n166a3zudTlgsFtTW1qK4uBgjRozA4cOH0a9fP2zfvh1Ao/NFXw1y3759MJvNuPbaa1FQUCCc8+++\n++5n4Zn+3BYOhzF79mzU1tZK3odKqTKbzZoIq4orLBYLrr32Ws351LX8RIyyeQAkeufz+fDUU09h\n3Lhx/zL5vMWLF+Pyyy9HMBhEcnIybr31VqxcuRKVlZWoqanB448/3uQ3ahssWrQoJse8vr4eTz75\nJO666y5s2LBB47RhDhPQ+B6ee+45jB07tkU8dDLWKlglB9FqtQo/kIs+tduoQ0keo1rJiYPJbDaL\nF0b1kugrXelNn+TEe2IoVw/g6IbWhwyZ4R8IBOD3+5GSkiJeSArRc/FVXfys1BQXF6dJ7GBFIprq\nqWPmf0pKCiwWi3il6VGLJYFEaSwCJfW8AMQTpU72pBJwAPP6sTI14+LimpS3VGu1q2CQgF8N06te\nFP4W0FamogdZ/x0ATe5bfWb959zZ0VNHjye5wGpYie+AbUZFAS5y5EPz2RjWVzcKzDyvrq7WJGLF\nxcVJeUWV90Rju5MXqFJDGMJWq3hxjLD/0quemJgoCXaZmZknXEmkJVM3PKo3XG+7du2SpEeG7oHG\nPsX/J0hhCJN9k1xls9ks56A8mRqF4LW5geAiyiTGurq6mJXCfrW2WygUQr9+/VBUVASXy4VIJIJH\nH30UH3zwATIyMnDvvfeKAD056JdeeimARqD7/fffi7yS3lasWNFq4QW1f3k8HpjNZiQlJeHCCy/E\nnDlzNFxXoLF/zZw5E2vXrgWAJnKE3377LVauXCnj/Msvv8Q555yDv//979i+fTuSk5ORn58vUnB9\n+/bFokWLZK4Nh8MYM2YMbr31VimRyc1TOBzGnj17cODAAYwZMwZmsxnnnXcegMawep8+fVBVVYVB\ngwZpuNSM4gBNeaLs0z/++KNmDeMc1rNnTwCQ5NGCggJ0794dJSUl6NmzJyZMmIDPPvtMyqWmpaXh\nueeew5tvvomXXnoJgUAA11xzjXBYOSeefvrpWLBgAebPny/t+Oyzz+LJJ5/Etm3b0Lt3b7z77rtN\nwLX63lTgx/m0rWaz2ZCTk9PuDTcdE8xlUNd0zqUAmiRfqw4Sfk6rr6/Hjh070KdPHzmWlJSE++67\nD6+88kq77o+mAn61XUpKSjBr1iw8+uijJ3Re1SKRCPbv3w+Hw4H3338fmzZtwogRI5rVMS0uLsZj\njz0m64bX68WmTZvQr18/fP/995IcBRynwHXt2hWFhYVyvKViErt378aDDz7YxFGoOtUYaf65gCrQ\nBrBaUlIiiUB6CSOCztraWk2pUwJU/gsGg6eMb6b3rtI7wwUxEomIjiVBsHrP3GFz4SZXkNnxnIRT\nUlI0BQVCoRBqamokRM1dLdAIvkiJ4ABnG3CiYoISvWq8F6DR60RN2VhGbb9wOKzxALtcLhFrp75r\nXV1dk7ZmyInGjYMKNNlGDP3GAkxsX9Ip1NJp9BqazWbJ2q+srJT3w9A/FQzYZgzbJSQkiFcyKytL\nlAii0UYdVobS2ed4rLS0VDzzNTU1SE1NRUVFhVRP4nuORqNS8aqmpkYqkAGQLGZ1AY5EIsjPzxc9\nyOZCGt26dZOJn31Afd8NDQ3w+/1wOp0C7lJTU+H3+0X7lQO9pqYG5eXlAvpOlusTDodRUVGBsrIy\nlJSUaCZXh8OBXr16IS4uTiZghrXIMQUaPagEp06nUwNaAUiERS2bSi88kzIJXjkuSIVh8p16LrbB\nv0NY7T/Vampq8OGHH2LBggUwmUyYMGECKisr8fzzzwNoLLc5Y8YMqVEfDodRUlKC4uJidOzYUTZ1\nJ2vRaBT3338/XnnlFZhMJkyfPh0DBw7ErFmzsGnTJkyfPl3jGFAllPQASeUw01gB8eabb8bWrVtR\nWVmJe+65RzS1VZACQBwSVGzZs2cPSkpKZPFm4QI1CSwnJwfPPfcc6urqEAwGYbPZYDQasW3bNlRU\nVGDUqFExn/2bb75Bjx49xHtN++6772Cz2URZhBuDWbNmifrFoUOHYDKZRHWAz7pq1Sp88803+OKL\nLyQJZvz48Rg0aJCI3Ofn52vCvZFIBAsWLMD27dsRiURw9tlnNwtUAe1aqUbr2mp+v/+EIkOq06S1\nilV6QN1SX1UBGU1fecpgMCA/P1/oLSdqp4KbWVNTgwsvvBDr1q3T0ALnz5+Pd955BxkZGbjhhhsQ\nDAYxa9Ys2Gw2XHfddU0oJ3v27NHIptHy8vLw2GOPwefzYfbs2fjpp58079hsNqNfv34IhUKakr+t\ncZ1TUlIwZsyYk3n0Vq1VsOrxeGTwsmPodbLUhiIvkuFyesWas/YkD6mmLnJ2ux0ej0fKobJ8nrrg\nEzTQvF6veHopKq/ybLmo8jn5sjweD1JTU+WeVe9TQkKCaM7y2WI9+6mW2yG9oK3GZ4mPj5edkNfr\nRTQaRUpKikg+qYlWqtlsNrjdboTDYTgcDpSXl8v31OpkBIgqP5l0CF6Tv6P3hXqjPBf7B4+pHliC\nfHJEaSaTCS6XC1lZWcJ7dbvd4pVV/9HrSs9rUVGReEg56bKOfSzr0KEDdu7ciYKCAuzbt08TKiXV\nAji+o+X9xsXFiQIG+wu9jN27dxcd2JOxnTt3wuv1Ii8vT+gGFOg3m80oLS2VNlBNH6qlh1vld5NK\nQiUGVfKL/UuvFqFGRnw+H5xOJ1wuF6xWq/D2IpEIRowY8ask1UnY9u3b8corr0j7v/jii7jppps0\n3zl8+DBOP/10+fvbb7+Fy+VCx44dW90ocVzSXn75ZUybNg0OhwPvvvsuBg8eDKDRq0gPViQSwb33\n3otFixYhLS0NTzzxBFJSUjB16lT4fD5cdNFFqKiokOIEQGMCV2FhIZxOJ+6++27Mnz9fEony8vJw\nySWXoKamRqonffjhhzJ/M5FXBTPXXHMNAGiukZaWJoULjhw5gurqalnvXC4XHnzwQRw5cgQ33HAD\nbr311mbbhNGFWOouxcXFcDqdQivauXMn7rzzTlRXV+POO+9Ejx49NCoDVVVV2LZtG1JSUjTC+3V1\ndfj000/lvHPnzkX37t011Zjmzp2Lfv36ycaT74FtoNfM/U8xvsf4+Hg4nU5xUgwfPlwqNOnNYrHE\njA7oRe+ZTNoWi4uLQ1JSkkQvCSj79+/fIrWkrTZ9+nTp43raBiW8lixZounXhYWFePjhh7F582b4\n/X5kZGTELNhgMplw9OhR3HHHHbIe6TcjRqMRvXr1Qp8+fTBt2rQ26dF27doVf/3rX3/2IgmtIhw1\n8z2Wp1I1LkIsKdmSwL3mJtq5I+F5uZgzO12VbSJIUAEPM+IZBuXCSiqDSi0AtKDSYrHIP+A494Vh\nVSYC0QwGQ5NB0ZK1dwfbXiMQJ1+4LUK+zZnafl6vFyaTSbzCDQ0NCAQCAlgIgtXEKybnAY1gz2Kx\nIDk5GUlJSaIMQQ813wmPMWRO4Ke+B2aoM9xWXFyseQ/qIsv37XQ6kZqaipSUlCbcW3W335xZrVZY\nrVbs2LEDdXV1oh9rMDQWAqA3taqqSniq5FiphSv0G8FTUYLVaDRqJMlIcWEkhGVuWVGuOY96MBgU\nBYZQKCQeaDXkw3ejtpcqiwYcb0+OOVIEgONlVe12+0mD9P/rdujQIc18QlqFOh9zYW1oaMChQ4dQ\nX18vi01LNBFAG/5bvXo1/vznP+PYsWPYsWMHLr/8cvlMP/+x/zMK9qc//Qlz5szB559/jokTJ2LG\njBk4//zz0bVrV/z+979HXFycRAWWLl0qi7jNZsODDz6oAYhqVURaz549sXjxYlx33XV4/fXXRVpo\n4MCBiIuLQ0ZGhgBVoHE9UUOmEyZMwKxZs7B06VLcdtttmnKUHOcA8PjjjyMxMRE2m03Kq7KdRo0a\nhdzcXGRlZWHJkiXibd6yZQsOHjyIhx9+GAcPHtRwHakKMnnyZOTk5MBgMGD8+PEYMGCA5vn0VCse\nmzBhAs455xxkZmbi3HPPbdEZFEtK7N/JcnNzNVUYc3JyUFJSInQ5VZpNbzabLWY51GuvvVbDha+p\nqdGoJwDatV/9/1AopKHZNTQ0ls0uKirSZOCfqLWVV6y+02PHjuHZZ58VZ5yanwE09qcpU6bgrLPO\nkvOTFqa3uro6LFiwAJMnT5aIYFpamiayqJ7barXi/vvvx4gRI9r3oCdgraJEhvPUkEAsrwezurmb\nbStQbe58rVmscqaqJBYF8gFItSiHwyHA0uFwwOFwCPAhWRqAeIRdLpfmHwFEVVWVRoopVqIBQ/N6\nTk0sa21xaKsx6YgC8263W7xokUgEXq8XPp9POnV1dTU8Ho/wtiKRiPx/dXW1TIT8myCrqqpKwB47\nvdlsRm1tLVJTUyWkTS8DeZqqeLbdbhewpG+DWJsXPbDjOfgZ343aR9kX6urqhL5hsViQlpYm3jy9\nmUwm0UXlufSeJL2lpqYiMzNTc98E0+TFMumPz0yQqHodudM1Go0nrJahWocOHVBaWoqDBw/Ku+D1\nyUnm/blcLs3CZ7PZEB8fL4lrtbW14sH3+/1yTN0Eckyy3VgNjZMbNyPUrOViz00JAHRRBLx/tROz\nnJwcTTuedtppuPbaa7FixQo89NBDeOedd/Dqq6+ioaEBK1euxI4dOxAXF9eiHN/y5csxY8YM7Nu3\nT5O8qpfsKSsrE+/mgAEDNIvYf/3Xf2kWPaPRKFWdgMaF8qOPPkJhYSEKCgqwZMkSmc9UIXe/348H\nHngAt912G9atWycOiGuuuUbAV3Z2NoYNGwa/34/+/fsjGo1KYQOHwyGRDaBxPl+/fj2ys7Ph9/tR\nVFQEANi4caPm2dS/2Ze3bNmCKVOmiMLFXXfdJXzcjz/+WELyPp8Pd999N4LBYBNvVVlZGSZPnoye\nPXsiNzcX9957L/Ly8pCRkYH33nsPS5YswaRJk9CzZ0/xWgPAqFGjMHToUE2xkosuugi9e/fGeeed\nh6qqKqxYsULeld769evXasnUX6qantVqhcPhgNlsRnp6uswlJSUlms2Rvr+1RBlwu90xBetzc3M1\nm5RYpgK51hxJnD8nT57cIsWiLXbzzTefkIeSfRaAaNkDje06ceJEPPLIIy06qGKB+lAoBLfbDZfL\npdFSVROjw+EwBg0a9ItEwlrsifR27Nu3Tzxf9HSp5vf7NR6ZtmrvtSf8HyukzixlGsELs7/Jv7RY\nLJJ4RfDCRZtARN3RqJ5H6vupCVb0prYUfmcZWa/X22pGc2s0ida+o56HYICatEzk4d/sVARFKlgk\n+KbEkqp+YDKZNGFrAkGWyuQETZ4ovSd1dXXShmw74HhClMvlauIh4DGVtqF+j/fKYwR5BkOjXBY5\nsGpVKwI0fduSGsB2YKIa24dqAqzgFMtYJUufNEIdUv7jTpVgnvxpUlZUebNTYZmZmbBYLBg6dCiO\nHj0q1ARAq75A7jH1aqk7yE0YNW5VTxl5tmw3bnSY9KcaPbPUrmVVL7U6EK1jx46n5Nn/rxrHzbPP\nPoslS5YgJycH/fv3R05ODvLy8mSRLi0t1YCv0aNHY+/evVi0aBHsdrvG0zd9+nTxStpsNjz//PPI\nzc0F0KgHmpGRIVnB48aNk5Lb0WgUS5cuxZIlSxAfH48LLrigCQDs2LEjIpEIfvzxR5SVlUmihz6y\noPc4BYNBlJaW4oUXXsB7772HZcuWoaamBlOmTIHRaMSRI0cQHx+PZ555RrxmDz30EIYPH67pb1u3\nbsWoUaOkEMdbb72FLVu2ICMjAyNGjMDnn38OoHF+HD58uPyOc61+zIfDYXFk6FVdWPJb1UVNS0tD\n3759MXDgQAwYMAC7d+/GggULsGLFClxwwQUYPXo0MjIy5L0+88wz2Lt3L8xmM/r27YtIJILXXnsN\nGzduhMViwVlnnYXy8nK8/fbbshH2er247LLLsHTpUs0c2LFjR1EWaM70zhY1T6Ela2/GvTpvqABa\nDxQTExOlfdtizeUatFSi9UQtHA6jrKzspBQBsrOz0bVr15iC/Oxz7VF1qKurQ9++ffH11183+97i\n4+NbTZhsrr2j0Sjy8vLafD8nYy2CVY/HA6fTKQ9CDiKzRxk+586WFaf0plapipUtxrCgPslFf45Y\nwJBhU35mt9sFtPp8PumU9PwBjR2Vx9UQLP8GjgvF0+Li4jSeI/296MGkwdCo21pVVSXUiObsZOqb\n06upPktSUpJ4vwg6yO8k4GJylv45ampqZCdOABYMBiWpSvUExgpDxcr6DwQCEg6nxBkTFlgkgR75\nYDAo5XPpKadn1OfzCYBSj7FuvN6YvFVaWors7GzxAqqeDXoO+f4IhtXyu3FxcaioqGjR88QdP+kO\n9HKr1Bl6pXkeFfCR38oIxqkIhXO86tuGiSJ+v182M9xg8P1SuSAajWq0hVXj33zPpEHwmvS8sw0q\nKipk/gCO9yGVmvOrnZzV19ejoaEBl19+uUQTwuEwtmzZgs6dO6OsrAwej0dCmQMHDsSmTZvw008/\nYciQIeLRv/7669GtWzcYjUa8/fbbcn6GXocMGSKZ7GvWrMGHH34Ip9OJO+64A8BxjrbVahWVgVj2\n3XffYdmyZejfvz/Gjx+PiooKfP/99+jTp49GM7U58BMKhfDMM89IctbChQtlc0TdXtqLL74onkkm\ne/73f/+3XMPlcuHjjz/G7373O6xYsQJz5szBk08+iaNHj+K6667DueeeK+fyeDxoaGjAsGHDMHjw\nYOGNXnPNNcjLy8OOHTtw5ZVXYsGCBTh06BAMBoPIB7344ov44YcfUF1djcsvvxxFRUUoKChAaWkp\nbr31VtFE3bp1K7Kzs/HnP/8ZQGPSVocOHXDhhRfKfTAB+pxzzpFjX331VRNAk52djdTUVI0Hrlev\nXti5c6dQH2IlPeqtLUAVaJ8jqj0WCATanFyVnJzcLI/0d7/7Hf75z3/K3J+bmwu32x1TT1s1PS5Q\nrXfv3k2S+tpr33zzDZYtWxbzs7bk96g5GECj4/CJJ56Ay+VqlpcbDAaF49ypUyeUl5e3qEijSodF\no1FMnToV06ZNa/XZTtZaBKsZGRnYtm2b1HRl4o36QlmRhp7EYDCo8axaLBbhS5IgrRor4ACND95c\neLY1iwVmWTqVIZqEhATJwDYYDMJv1OuNUleUHjWDobGaktPpbBe/ljwqkv2b0yVUAUFzplbv4jPx\nt6q0k2qsNqReRzV9m+k5ZnwPDI3zNwBEvaC8vFzOS3kwekUSExM1ZWqZQEVaAnCczkFvNXBcGknN\nQGS/IDCnnBrQOIFarVZ4PB5YrVbxaqiJPseOHdPwngjmWTwgJSUFJpMJVVVVohqgSn21tBPnokzv\nLjdnnEypYEGPN5+ztrYWDodDQDffRSxFhxOx3bt3N6G3JCYmStSBz6TKBIXDYSnuwImZYBJojBjE\nx8dLchaN3nYVdPK66nvkJMhMbj4zk62OHj2KTp06nfSz/181q9WKtLQ0LFu2DN9++y169uyJ/Px8\nlJSUSIgyLi5OPHMcLx9//LGGerJ06VLcdNNNUsFGtYyMDPGCRiIR9OnTB4899pjmOy3Nk+w3ixYt\nwm9+8xvpJy+99BLuvfdepKeno6GhAa+++io2btyIH374QSN8r3r3evfurVERUOcw/XzGin2cPxlJ\n0N/3gAED8P3332P//v146aWXYj4D55y4uDgsX74cX331FeLj4zXAPDMzE1u2bMG6deuQlZWF7t27\n44cffoDZbMaNN94odJ+1a9fitttuQzQabZKRvmHDBowbNw51dXUYPXq0RB6i0ShuuukmzJs3D2az\nGTNmzJAEMJPJhN/97ndC9cjPz8eoUaNwySWX4Pbbb0dVVRVGjRqFjIwMDUeXdL9/tZlMpmYdEOoa\n19q9tjRnn3feeTLnRKNR0cNtzZo7Z1JSEubOnduq9nBrple8aI/pK4QlJCTAarWKpzqWpKXeBg4c\niJKSEvH8G41GdO/eHb1798aWLVtEg53KFUBj5OXZZ5/92Qu3tAhWTSaTZIcyjM5kF2p0traosoBA\nQ0NDk8biuWhs1PaEvoHjgIeLoio6npKSgrq6OpmIbTabJAXxWgzncxJTgVR9fb3s8FkZi8BcteYG\nDsFBSwNBHwptzdxut1xPr3IQK9zN4y0ZJ/ZYXGObzSZSUxzg6n0zO5IDpLq6WtqXg9disSAajUol\nKtXTyHA8cNybq+4OeYyhch5jgo6626+srITdbtcAetXD19DQWEiA75jJR/oFWd2Z1tfXtzgQw+Ew\n8vLysHPnTjidThw5ckRTPS05OVmkuGpra+H3+5GXlyfjoaKiQkIx5eXlkvF6MlZeXo5wOIz09HTp\nH8FgUKN2AWg3PmxHfic+Ph4+n082EqSAcJMXjUZFiYPVqvjMqkeZY5zi/5FIREA75wYWC9i1a9ev\nYPUkbdu2bZg4caLIht1+++1ITU1FVlYW8vPzsWbNGjz11FMAgEmTJuHiiy9uErrs0qULLrnkEixa\ntAjPPPMMJk2ahMLCQlx22WV49dVXZRP8zTfftBgibMk+/fRTzbz40Ucf4f7778eQIUMANC6uw4YN\na6JhWlBQgCFDhsBkMuH888/H7bffrimnrVpeXh6OHj0Kk8mEu+66S+Ylu92OuLg4PP7441ixYgXK\nysqQlZWFxx9/HBkZGUhOTm4R7KiOl4SEBIwfP77Jd0hLuuSSS7BixQqsWLECQOOc8/3338NgaKws\n9Mgjj2hKS9NMJhO++eYbWbtWrFiB/v37A2hs93nz5gFoHLcTJ07EjTfeCKvViuXLl2P69OmyGT90\n6BDuvfdejBgxQubuoqKiJkovzb0vfeTx5wa0kUhEgGrnzp01VbvaY9SxjgUg9+3bp4mwtSe0HstO\nP/30JjJl7bVAIID09HT06dNHIxult+Yqs6nPwETn9iZSV1ZWClDleUaNGoXOnTujtrYWixcvbvKb\nE3UwttdaZU/X19dLeJ8LfizeqspjjGUn8jDtHRQEl81RBhiKN5vN8Hg8Gk8QiwR4PB4J8+sleDh5\nxTp3a+GRlkjaBMzMItd/xvPX1tYK6ONk6/f7JZs+EAiIe57AQpWUivXOgOaBaqwkH3oO9Z7g2tpa\nKZFKT1woFIopfcUJmeE6Gutz0/PKhKhAIKDxxuoTsfTeeq/Xiw4dOghwpz4o37faFrx+cXGxhN7V\n8qv6PhDLvF4vIpEIIpGIpoZyXV2dRm+U2rbMyuc1DAYD6urqcODAAZx55pnIyclp9lptsZKSEgHC\nsTiqrCTG98i/+Rk9V9w8xsXFSX8yGo0CZlU9VvLIeB1qq3JDQo94IBBAZmamjD9V9zI5OVkW41/t\nxG3u3LmaDcg777wj73fs2LH4+uuv5btvvvkmevfujYkTJ2LdunX46KOP0KVLF8yePVu+0717d+ze\nvbtVSau2mDoH6RNJ9FWcNm/ejClTpsjcmpiYiC5duuDaa6/F559/jmg0inPPPRfvvPMOHnnkETQ0\nNGDQoEFYsmQJ3G43evbsiSeeeALbt2/HP/7xD3z99ddITk6G0WjEvHnz0KlTJ0ydOhWFhYU4cOAA\nunbtKmtEc5t+GouIrF69WsP7538p7F5SUgKTyYSamhpkZ2fjrLPOwt69e3Hw4EGMGTMGX375pWaO\nDIVCuPTSS+HxeDBgwABMnz5dPgsGgygsLMTo0aOb3JtK0Zo2bZqMS0a5ysrKNGVKd+3ahQsvvFD0\nZQFteFc1dR3+pT2vJwpUgcZ1oTlPp91ub0ITaaupEbPs7GwUFBRgzpw5UlDmRGzLli345JNP0KNH\nD0yePBlz5sxBNNpYwGbr1q2IRqPIyMiQ6mrbtm1r9zX0hTZonKuZcKm3BQsWNKtOYzAY8Prrr7c5\nT+lkrFWwWldXJ2LzvLnmTA0XNmexEqX0pq9D3lw2Y3O/bQmwAo0vjV6uWB2M4Vx2SpW/Bxx3sasA\nQA2D8r7V52hpkKvgq6XvqeAJOO4pU9uT2rCq57i59lYrPTWn3kC+qn4n1xK3mM9CAMdzM6xMBQaj\n0SiauAQrFP7nxMuqY3a7HeFwWEJEXq9XvJ58XwQ/Ho8HFRUV4tFTRc4TEhKQmJgooX8CRy4o5PGy\nKESfPn1w6NChFpPkvF6vbOCYWEZvIZPTGFmIRqNITk6Gx+MRbqfdbpeNilr04UTsyJEj8Hq9SE5O\nls0Gq8JQwSEtLQ0VFRUwGo2w2WxSNpmLrJ6XxYksGo0KPcJms8Hj8Wg84mxfqinoy/KaTCZpR06c\nalSgX79+P2sFlP8r1lyUAGia4Q5AxtXs2bM1IFX/+1Mheq7aAw88gP3792PJkiXo16+fBpgBwLJl\nyzROgNNOOw1Tp07F3XffLRzxG264AX//+9/x6quvYvr06fj000+RlpaGxx57DBs3bsR9990nFbwA\nYOrUqZoF22az4dFHH9VozvJZW9qgMlmVzgMATf7b0NAgmuMAsGPHDqxatQppaWnIzMxEKBRCfn6+\nxlNmt9uxdu1auN1u7Nq1C+np6bJpTE5OFpWHSy65BIMGDRLN2AcffFAKrzQn4K73ipaXl8tY9vv9\nrYrx/6dZMBjEkSNHYkZq3nzzzVaBqn7NV6l3AGTtmTlz5klJgH322We47rrrUF9fj7i4OOTl5UmY\nXU1OPnjwYMyS86rpK4AZjUZkZ2ejqKgITqcT3bp1w6ZNmzTjqjVHW0syitFotMVcjlNprYJV7rZS\nU1PFg3QiyUBt8awmJyc3kcrgy2nPRNkaYGXSTnJycpPvqLtjVmKi54ltZt+1zgAAIABJREFUwSxu\n/W/UsALDozRVDD+WWa3WmKCcAMFqtcZ0/zfXrnxHXLhUPhJlpQhM2mr6yYwZwLyH5ORkHD16FAaD\nQZ5fHfAEQEz2IgBSNUABCMk/Go0K4GJCg0oZYPuqG6lAICDvv7KyEsnJycIfZTIR70f1TlitVqFU\nsM3YTi0tXC6XC6FQCLm5uZLJTIoMy7qy4EFKSoosEDw/9U3D4TAGDx58wmCNnlkmbZGTarVapd05\nGTKDme+NkyH7tDqJs01VbyoT4fh9To7ccJDvGmsxCAQCGjDFzRDQmGwzevToX0wu53+rPfroo9i/\nfz92796Njh07apJqcnNzMWbMGMydOxdAo6e1pfBlW7KPY81B6jhtzqxWq0aXVG96R4LT6cQZZ5yh\nkS+KRCLYt28fDh06JIkp5eXlTapjqd9X7W9/+1sToKpaLOkj9f5VKSnVFi1ahB49esBkMmHr1q34\n8ccf8cQTT8iY6du3L3bu3Am73Y7f/va3KCoqgtVqRVFRkRQ5cLlcGDJkCK688krU1dXhwgsvFHpQ\nQkICVqxYgVWrViE5OVnuIykpCVdeeaWoGKgg68orr8SiRYtQW1uLK664Ap999lmrlYl+LqMzSK9G\nc6r1xmMB8Egk0mwSk2p6Tn4sY/Luidi+fftQVFSE559/Xt4D1Zdo+oSv1t4XudhA47sfPHiwhPXV\nSphtNf0GJ5Z39kS80ydira4Kdrsdbre7iY7kz2WqXiOttrYWNputTV5ZmgpYmzOCPxWw0hPGBdNu\nt6Oqqko8erFC9QQ6NpsNLpdL9FydTmeb+Fxt1dRkudbmqkq0FK7hPbNjBYPBJh1P7ZjqoGDGPIEz\nf09OnL5kK8Xl6XHkdeiNpqdOTfzhNSmPxffBY/wvJzROwg6HQ0p9OhwOVFZWwul0wufziec5ISEB\nqampErqjmgXfpRryoxfQ5XLBYDBg/fr1SEhIQGFhYcyFad++fbBYLKisrBSwazKZJOGKmfYEeOTf\ndujQQd4Fk1hOZHcejTZWyOHul89jtVqFFsJIgCrnFg6HReUgOTkZ1dXVkgBGWS1uTFVvOYEm9S/5\n/3zGyspKDYepOUUBVXVD7XdHjhxB165dpczrLzHn/G+znj174q233sLw4cPx008/4dFHH8XWrVuR\nn5+PW2+9FbfccotwWrt27dqEE6q3Ewn9nmyiCdCoSOD1erF27VqcddZZuOWWW2C32zXZ9yxdqg+L\nNhfC5zigDRgwABaLBXl5eejSpYtQ2WJpK6tryd69e2OCYdWi0ShycnKQk5ODN954QwMSduzYAaDR\nifDpp5/KGqDX/7RYLJgxYwYAYO3atdi1axdWrlyJHj16ID09HZs3b0ZaWhoaGhqwZs0apKSk4IYb\nbpDiGh06dMCPP/6ItLQ0dOnSBYMHD0ZGRgbWrVt3wkD1VPBW25LZfrJ20UUXNdmIHT58GDfccAOK\ni4tPyTUuu+yyE5qjbrzxRsyfPx8GgwGdO3fWfNaS97St0mGANh+B5vV6kZWVFTORKykpCenp6Rrq\nRTQaxdChQ/H9998jNTUVcXFxms2vxWLBP//5T0kYpGf357BWz5qdnY1Vq1YhKytLMiCpicYkFwBS\nnpNhc1o0qi3n6PP5ZKFih+XnoVBIwq/6jkxvjfo3s/xb2o0R+Kr3xetWV1cLOKXHUpXjoVIBJy+C\ni6qqKtHWVE3PpWyrB7o1akUsiyWfBUDCQLw3vXdTDc1ST1RPnuf9sE1UbyQnVYJOAiC1LajLyTbg\nvaqLREpKiqgtOJ1OSYLz+/1NlA84eKn96nA44HQ6WxW0jo+PF61br9er8eilpqbC7XbDarVKiVwm\nf5HoTiF/Vi3Re+Epmmy323HgwAFZvOiJVSWC1OemHh+rnlHGq71WXV2Nn376SZQMKPJvNps1WoTU\nUGVfYv9n6J88bXUXz+9wfKgbPxYSoBSdKmMSiURQW1srz632CwIYcljVJCyTyYT+/fujpKQEHTt2\nxNKlS2EymWKWS/zVWjZW81u7di0CgQDuvPNOiSL5/X6sXr1avrtnzx5Eo1GsXbtWNjqkMDH6UlRU\nJBxjRqU4F4fDYRw4cEAoLvzHiJSaxW8wGITTrpYI1Rv7jM1mw5QpU2Txq6ysxA8//IAnn3wS8+bN\ng9/vl0z5oUOH4tNPP5U5fuDAgZpEkTPPPBM9e/bEeeedh02bNmHZsmXo27cv3njjDWzatAkWi6Vd\n2cx0ULRkat9viUYUCAQwbNgwuN1u9O3bFzt27JAIz/jx47F69WoYjUasX78ejzzyiCQ6U6IQgEai\nTq9rfaq9lb80b7W9RoWi8vJyrFq1CiNHjpTPJkyYgLVr17brfKp3WrXhw4fjgw8+aNe56urqMHfu\nXMyfPx9AY1sePnwYHTp0QFlZGVJSUnD77bfjgw8+gMfjwTnnnIO4uDjs2rUL+fn5OO+887Bo0SJE\nIhEUFha2uAYajUZcdNFFKCws1EjVsbRvfHw8evXqhX379iE9PR0XX3wx0tLS8Oyzz2re8bFjxzB4\n8GAcPXpUox4BNDqT5s+fD6fTiYsvvhgAMGbMmHYVhWqrtQpWuTtjMkYwGER8fLwsNOriTTBBIyDi\nZKMPp6pJHuoxfSINQ49cFK1WKxISEjSJIs0ZQ6AMsavhTPXe6GVV5Yr0pvJYT6W15i2m5qjemtvR\n6bMC2X7kh9ISExORkJAggJYeNhK7+f4YCqSXtLa2Vvil9ELX19dLFj8BoMfjEW9qamoqXC6XFBHw\ner0iG6ImgTmdTgQCAZHUYTg9EAhIok9VVRWqq6tFpYKAm4CPIWlVZisabRTVJgild5r0DH6HxQTc\nbrfonkajUQlrq/yc4uJiZGRkYN++ffD5fMJf8/v9iEQiAkbdbjfS09NRXFwMr9eLrl27oqysDIFA\nAKNHj8by5cvRr1+/tnQVAI274/379wuNQwWLwPHkOpViARyvzKaG7dkfOC7YDrH6OL3CqrICva1V\nVVUaj0BKSooAB55T5fTyvwDEg5qWlobt27ejvr4eAwYMwObNm1vVKP7VmhrlZt544w18+umniI+P\nxx133IG+ffsiOTlZs4GnRjXfDbnWlO9jkQyOUW5G1HFApRA1tEteOudylc/J6EVLRjCmnkOdByZO\nnKgJI5922ml47733sG7dOmRmZqJnz55YuHAhlixZgpSUFNx9990oKChAVVUVbrnlljbRn0jfiaV5\nzDUwGo3ik08+QVlZGa644goplkCrrq5GSkoKbrrpJhw5cgQbN25Ejx49UFZWJlWByFMFGhOfJk2a\nhL179yIjIwOZmZkS4Vi8eLGsZ5xnaGrWt3q8NaCalJSESCRyQpvln9NaWmdbW4O58d66dSuuvvpq\nHDlyRBKACgsL230vzeELSpe1ZIWFhVi+fDmys7OxcuVKHD58uAltgPM00NjnPvjgA5SXl6O+vh6L\nFy/GJZdcgri4OPz0009ITU3F4cOHcfToUdhsNg2n2WQyIT09XehozIGYNm0aPv30UxQVFWHNmjWa\n6Oi2bdskMqbqKat29OhRSRxuzj744APs27cP/fr1Q8+ePdGjR48Wv38i1iZ/LUPgCQkJqKqqEkkO\n1RgS1icVMSweywKBAEKhkPBwXC4XwuEwkpKSWkXm9fX1SElJEeDUFquvr4fdbheQR06j0WgUoXQV\nADLDPRAICB/P5/OJl6893I8TMXVCbysFQg3VkhuqapiyrRjmJpghaIxGo8J1VENh+v+qnjPVa8uJ\nhG1DIEnvrMViEa4rRf9VTzs9v/QOE2QDx7PYOUGEQiEJZ6SkpMiETW+4yWQSIMWqOtSFzcvLE9kq\nVd2C3FYaQ+N+vx9ut1sW6aNHj2L16tUwm80akF5eXg6DobG4RX19vYZeQBmzI0eOwOFwoLa2FgcO\nHJD6y61ZOBzG3r17ceDAAXTs2FHaWvVYs41TUlIQiUREz5Qe3Pr6esn4Z58uLS2VhZf9IxgMory8\nXCMLx+tx00LKACuEEfiEQiEpdsD2ZB9U/xsXFyeqD1SuMBgMKC8vl6ooZWVlv4LVE7Ddu3fjpZde\nkoX2ySefRGlpqYwdv9+PuXPnIhpt1OtU2/jrr79G9+7d0a1bN2zfvh2rVq3C6aefjmHDhsHj8WDV\nqlU477zzAACrVq2CwaCt7tSS7dmzB4cPH27z9/X27bffolOnTjjttNNifn7FFVcAANavX4/58+fL\n2Lj33nslJD906NBWQcYDDzyAl156CSaTCa+99homTZoU83uTJk3CW2+9BQCYMmUKNm/ejJycHHi9\nXowbNw7bt29Hly5dMGXKFLzyyis4++yzsX//fmzevFmoONdee63mnLNnz5Y574cffsBVV12FPXv2\nCAg5ldZeaaOTNRVoqpE8PfhsCYy2x1lUWVmJ0tJS5Ofni+f6VLVjaw6GH3/8EcOHD2/COyVNis/R\nu3dvKQQBaEunAsDixYtl0/Hhhx/KcRZ1oUUikSbVv/74xz/GTJCmcX5oSfmiLeZyufDtt99i8eLF\nSE9Px0MPPXRS54tlbSJbMGRLi0W6b4m30R4NM5W/2NLumx46gpC2GBfeWPcTK7GFuzEVJNLb1pqp\n0lfNWU1NDbxeb0zQq9eMVY2Z1gTRBCzkllZVVUnYGoCE9AAtrYCVpchtoTwWvSsM/dbU1EhCDX/P\n7/MeeK8E8cXFxTCbzQJSSR/g5BgfH4+0tDThd9psNhgMBvFYELylpKTAarXCbDbLMYI7q9WKjIwM\nCWXzc4fDIQLgNBYJIFgiQDMajXA4HHJ9Pgu1/hjeNJvN+P7771FRUYEff/wR3333HYxGo6bgAT0l\nVqtV3kFpaSncbjf27dsnfOz6+npUVFQgGo1i8eLFTbRyY1l9fT1WrlwJt9st45FeYT4HAScLMTDk\nSuqO2+2W8rcE3QT7ar8uKSmRSY/6r1TQMJvNUsebRSBU/pfek2M0GmUzyvfBTS2/y03Rxo0bUV9f\nj127domeX1s56r+a1kpLSzXzXHV1tUaSbdSoUbjnnnswadIknH/++U0SURoaGrBq1SoMHDgQkyZN\nwogRI/C3v/2tyXUMBsPPEvJrq82YMQN9+/bFiBEjNKVDCwsLNQtwMBjE/v37sXLlyiYFDPS2ceNG\nKQYQiUTwhz/8QSIxLFN76NAhNDQ04K9//av8rry8XBKyPvroI7mfQ4cO4c0334TX68W2bdtQUlIC\nm82G66+/Hueee65GskvdnPM5nn/+eSxcuBBbt27VtLWqxayCb3qk4+Pj0a1bN/n/fwfTR171x061\n5ebmora2Fq+++ioKCgralFjVFjMajZg1axbGjRvXbM7J3LlzY87rqlQgAJlfaXrO58nQONSI489l\negflyciNtWRtAqu5ubnYuHGjhIlaajwVoJ3oQqOGd1oDrfzsVADW5o6rmevqMzEs6na7UV9fH5On\n15LV1tYKFaGtYX52vEgkIp0+Eoloyt6yEINau129Z+A4gGUItr6+HklJSUhLS5PKW7x+eno60tPT\nxWMHQEAmoOVj0WtmsVjkHxN8KHdEYMQ2VcPYeloHPaxqWJ9hbqDxfSUlJSEhIQGHDx8Wbl1DQ4NQ\nEwBoat3TK1hRUQG3242qqirxjqq0ET6/3++Hy+VCIBDAihUrsHPnTsmSBxoBtdfrhd1uR21tLdxu\nN1JTUyWxKyEhAU6nE263Gx6PBxkZGQCO84c3bNiAhQsXori4WOPp4HOEw2EsWbIEFotFnpu780gk\nIooCtbW1Ml6CwaA8CykXHLscv7W1tcInDoVC8Pv9OHr0qPQj8ndramo074u/Z7GIcDgsEzY3MwTR\n9NhzAtYnCKiLqCq5ZrVa0blz5yZh1V+tbXbhhRdqONoFBQWymfvpp59E8ggANm3apAF63NDNnj1b\nMzZnzpzZ5DqxvGI+nw933XUXhg8fjqlTp2o+i6X3fKK2fv16TJw4ETt37sTq1avxm9/8Rj4bNmxY\ns9qPGzZswJIlS+Qfow00PcBQJf727t2LyspKJCYmolOnTk1qz/PvWGWo6+rqUFFRIRv81atXY/v2\n7VJZDGia46EHLupayLkN0FZWCgQCeOmllzBp0iQMHToUCxcubLHAwX+Cqe9SBXZOpxNnn312zN/k\n5uaivr4e/fr1w5/+9CdNO5+sNTQ0Fkf58ssvcc8992DhwoUSKi8uLsbIkSObSLE1ZwcOHNAAPnrc\ngaYYID4+XqIgFosFY8aMaeJdbc0cDgd69+6t0Tnm9elwaqsVFBTgjDPOkL8NBoNmHJ5KazMNwGKx\nCGF/8ODBMbM9yWPTa4y2x9SJTw0PxzonBza9VW0NlfP7+vBic5UheF1yO9VrEDTQy6TXPW3NEhMT\nm+x69eF/vQUCASQlJTUJNQMQsApAEndieW4JdFrTE4y1UaB8l97ULH49R42hYQDSTmrykZq4BRyv\nZqZO+vy+moWr7mp5be7smL2olhYFIMk95HCSC+dwOGAymeByuWRxSktLk0XBZDJJTXG32y1/k2Nb\nWloqXgy+k9raWlRWViInJ0cykQ8dOiRJZeyLHo8Hy5YtQ15eHgYPHoySkhLJ8icvWKVZqN4XdRJW\n9VTZ9nxeHq+urtb0GRVs8rv19fWiY0tPO0vUAscnReo0er1eOSeBPDc0KmedHGPVI8dxPHToUBw8\neBBZWVlNQMCv1j7Lzs7Gu+++iw8//BBWqxVXXXWVfJaRkaHhF5vNZmRmZsrnHLv6d5CZmRlzPtLP\nH5MmTRJprDVr1iAjIwO333675tynwgoLCzXnO3LkiORUOBwOjBw5Ejt37kRycrKmItCQIUPw2muv\nIRAIYMKECcjOztaAwmHDhmHkyJEikD5hwgShpUSjjRXZBg0aBKCRq3fDDTegvLwcd955J6644go0\nNDTg0ksvxerVq6Wgyfjx45GRkQG3240///nP8Pv9uOuuuzB06NAmIdixY8diz549iIuLQ4cOHU7I\nGzhr1iwpQ9veJKCf004050OdW9QKk9XV1fjhhx9i/kafDPRz2bx58/D+++8jPj4enTp1QmVlZbOl\nTQ0GA3JyclBWVibjL5aqBNcr1XGTlZWFm2++GXa7HS+88AK8Xi8+++yzNkeuExMTRRFHr51aX1+v\n4b+21QYOHIjbb78d7777LrxeL2688UaMHTu2Xedoq7VZY0Av1K9mRkejjZn1iYmJiIuLE8BKaw68\nxeq0sRqeHbwlENyaWG57vq8+mypurk8OYxJAS/fe0j2rXir1+wAke14Fa80BaYp6U6WBISsCF72n\nUn12Feypklh8Zv7W7XZrsmVVTwS9jvToMvysGoEhoE3mIZ+ZyTiJiYkS0me2Pq/HJC273S4qECkp\nKXC5XEhPTxf5pfj4eJkw6F1iH6TeKfm8TqcTFRUVTTKBufFisggpFvQ0AscnGZvNJhSAhIQEVFZW\nStIZ3z15SOnp6aIikJubC7fbDYfDIUksR48eFSmuvn37wuv1ijqGOl4oKRWNRpGeno6amhrxHusV\nMmw2m5Q4Zftzk2K1WuHz+YTbTA97fX29httFDjMLBlCWTJVdYRszDGkwGGCz2cTLSm+BwWBAcXEx\n4uLikJaWhoyMDOTm5sJgMLSoefmrtc+6d++O3//+9zLGd+7ciYKCAnTs2BGzZ8/G//t//w9AY8Uj\ngjGawWDAI488gs2bN2PZsmXo378/pk2bFpNbqJ9Ht27dqvm7NWks1eitstlsuOyyy1rc+I8cOVKT\nyHfhhRdKTfnBgweLXmVWVhYeeOABlJSUIDs7G3//+9+xd+9eAMC6deswffp0jcSRxWIRr2tcXBxG\njRoln6mqMABwzjnnaHRfg8Egli5divz8fCxduhSHDx9GQUEBXC4XvF4vrrzySpnTn3jiCWzYsAEj\nR47E8uXLATQmW9ntduzfvx8GgwGDBg3ChAkTUFxcjK5du2L58uXYv38/gEbO5M6dO9HQ0IDOnTuj\nqKgI4XAY/fr1w+7du+WewuFwqyU8fyk72c2K+vt/lUas3nhPwWBQ+lVL3z1REO1yufD8889r1u/2\nUARa00NtL1BNS0vDAw88gIKCghPmoLfH2gRWmTAzdOhQuFwujZQDJX8aGhpEG1H1iLIaEXeuJ0MN\naA2w8pptvUZNTY3IvBCc6r2rzAjlYq3+a27gqUoJLe169C5+PU+V95Wamir31BI3mLxFAjSfz4ek\npCTx3FZVVaG+vl60RhMTE4X3xAzgxMREWdxUBQa9JSQkwO12w2AwSAZ/KBRqEm5KTk6G3+9HXFyc\naHBSZqU5j2+s/7bHDAaD8DQ9Ho/QFNQQJPuSz+cToKgmAiYkJMDn82l2yASnJpNJ2ojAGGgEgQyZ\nq7QDjolAIIDKykpRAygrK4PVakV1dbV4WlVlhDVr1kgbcVPEDUhSUpK0NzcHlBBLSEjQZOszIqAm\ne1HftLy8XEA70NhHOJmSEkIFAABCO6DH/vDhw0JrUBOwDAaDcJbVPkt9Vrvdjv79+2t4d7/aqbVI\nJIJu3brBYrGgsLAQx44dQ0FBARoaGtC9e3fMmTNH5G3UschNdFJSEhYtWqSJJqmhZ5p+Trrgggs0\ntIILLrhAc+7mxrTf78ewYcPktzfeeCPef//9Zp+vc+fOWLNmDd577z04nU7cd999AIAvvvhCI6xe\nWlqKOXPm4MEHH0THjh3x4osvymehUEhKn6pmtVpx6aWXNrkmJRqbM7YjQ6FDhgwBAKxYsQJVVVUa\n50NdXR2Ki4s1wNLn82HBggXy96xZs5CdnY2SkhLs27dPNsVAY7Lam2++iW7dumH9+vUwmUwYO3Ys\nDh8+jGeeeUZTrYwlVX+1/0xTnT36/tdSotrJWnJysiTeco259tpr8dvf/hann366zP2/hLUJrBKR\nJyYmIikpSZJDuLgyDE4xdb3Z7XZNA+sr5KjWEhhrDbC2lw4AtKxD5/P55OWrVZJOpVC5ys0FWuap\nxvqMIu+qtXR/DMHy2up3DQaDgDC1nKy6QOmrVqn/z2x34DjXSqWLdO7cWbwCNMpX0RieUAEgjcfU\nsAn7m7or5LtKTk6G1+tFdXU18vPzBayr1yQ9IRwO49ixY8Lr43V9Pp94MflMvL7VapXrU7qH1BJS\nAphwlpOTI3SDAwcOiIQWPZkejwcpKSlC62CZYYbzCYJ5r/yb7U+pMW4wVCF/VQqOx5k0x2N6TVg1\nm189Ri3X+Ph46S/6MCZD/9XV1Rg0aBAsFgtcLhfKyspwzjnniALAr/bzmtvtRq9evZCUlIRwOIwt\nW7Zg9+7dKCkpES3hyspKfPPNN01+u3fv3la9REBTjiUAvPTSS+jQoQN27dqFSy65BFdffbXm+83Z\n8uXLNSB33rx5mD59eosapQUFBRrwWVxcjG+//bbJ98rKyjB16lTMnj0bBQUFEiJPSEhA9+7d5b7I\nPT9Rp0pzz8fwb//+/aWAQdeuXdGnT5+YAu2qkeZz5MgRzXEmUk6ZMkWSHFevXo177rkHH330ER5+\n+GGUlZXh1ltvxW233XZCz/PvYM3R89piagTq39FaCr0T7/Tv3x8WiwWbNm2Sz1TccioT1cxmM66+\n+mqMHz8ep512GlwuF84++2xJAvtXJry22bNKb4lawYmLNj0tJpOpiafE7/ejpqZGjjc0NCAlJUUk\nofSeu9aAoLp7oAeAUkUEB9R7bUvDsjynHkAzS57cuqSkJOGjqoBP3SkTmKkEfcrzUPqH9822YPEB\nAAIeeO/MHmcyFY0cUAJchokpQ6UKwqucVfU9ApBwsT5xjpxXhp5ZA5kJYUw44OcEOWoxB3rTCQzV\ncrPqOySgVMP9drsdXq9XvIf0Fvr9ftjtduFDmkwmhEIh8dTGx8dLshmvSQ/r/v37pd8ZjUaNfBO9\ngOFwGBUVFZr3RC8tE7xUDqnP50NiYqIA1sTERM3Ck5mZiYSEBBw6dAglJSVoaGhAhw4dhMfatWtX\nlJeXo6amBtnZ2bIpSEtLk2IGBKvq+2toaEBaWpq8O44BJurxfZNrTv1aoNFz6vf7BYhyU6KqGnBx\n4HvnOyPlAmjcGHJjQwBMj20wGER2djYKCgpgtVrh9/vFe7RmzRpUV1fjggsuaJcI+6/WflM1rPmO\n6HF0OBxISEiAwWBo4kF0u91Ys2aNJlGCY93j8WDNmjWa4/pEJrPZjIcffjjmPXF87ty5E/X19bBa\nrTCZTOjRo0eTtYNyiapFo43yc2qhElp1dTV27tyJOXPmxLy2y+XCvffei4aGBgwZMgTJycm4/vrr\nkZ6ejt27d2P8+PHYuHEjMjMz8dprr6FHjx6inayC2YaGBqE6sISxyj8HIIUGAEhUIxwO4/XXX8fH\nH3+MSCSCq6++GmVlZTj77LMl4S0hIQFdunQRKSO73a6hapGGAzRy8quqqjRqHIsWLcLNN9+MZ555\nBuvWrUNqaqokGenpGa1Za5HBX8paA6rnn3++0CjS0tI0DrNTXRDhVFtlZWWzHlEe27Ztm8bp054q\nVm01g8GALl264Nxzz8WyZcuwfft23HrrrejVqxd27NiBiooKnHHGGf/ShNc2J1gxYzIUCsnAZIiX\nAK45vVP1RRCYEczoQZjf7xewl5qa2izgpAdVBVl86Vzs2wJY6+vrEQ6HhetEI1CiiDoTTgKBgGi1\nEvTQODkx9EnvMzUu9UCcPL5oNKoJvTN8S2F8ghb9dVhBSn12glyDwSDgVx82UBUF1NB4OBzWiH1T\nBYGamEAjmIyPj5cCESqQpPdR9bYQSPI4ADmfmmmuqjrwmVTuJSdoLlK8d7Yxz6FeQ20zJjF16NBB\n3hvBHtuNQI0cT9IceB16fZOSkkR+hrxORhwAiHeV1b34t8/nQ1lZGbKysoSfSq3g4uJipKamIhQK\niTZxc6Edo9EoOrn8DikM7MOsyqUu6sXFxdI30tPT4fF4pCwuN3psY/JKVeNC7XA4msi1MOGPEmPh\ncBjr16+H1WrVeF6rq6vRrVu3X4Hqz2x8519//bV4yY1GI0aPHo0e0no4AAAgAElEQVTVq1fD6XTi\nyJEjyM3NxR//+Ed8+eWXOO200zBr1qwmyiSkeMV6Z4yuUbLp9NNPj1krXZXOYxSDQI9a28OHD8dD\nDz2EF198EQkJCZg1a1ZMsOr3+2NmtyckJEjYMpaZTCYcPHgQQONY+Nvf/obMzEzU1tZi3rx5EjYv\nLy/HlClT8MILL0gEgXMkN/tUgKF8Ivs426ikpETuXS3QUVNTg0svvVTmcL/fj8mTJ+Orr75CZWUl\nLrjgAqHWdO/eHatXr46ZRAo0Rkf0BQucTid27NiBWbNmAWj0xj722GOtem9j2b8DUG2LEagCjRuS\nTp06NfFC/zubPhchFsBWcQYpaqfKDAYDunXrhptvvhmTJ0+W48888wzmzJmDiooK2O32mOP6l7Q2\ngdWKigoMHDgQgLb+u8lkQmpqqmQpN1cPOtbkwfAkS2JS4iguLk6yrZvLqHM6nZrMYuC44D/J9m2l\nBFAvsr6+XrOzDwaDsFgsqKqqEg8yPazk4nJiCgaDGu00Xo+D3efzSUnMWIldRuPxerrJycnweDzi\nvSOwdDgcGt4hs9abE5P3eDwCIGisOOV0OqVkrMpnbc5UAAtAQInqnQMgoFylF8THx6OmpkYT9qVU\nEk1dDFpLxlMnUP0xAk9yiukZYLsHAgFUVFQgKysLBkNjdQ8mQ1ksFtGYVVUNTCYTHA6HLHJWq1XC\ncuSPOZ1OFBUVwW63Iy4urslEGY1GRcTc5/OhtLQUGRkZqKmpQWVlJXr27Iljx47B5/PBZrNJkhqv\nz2diO/F5CWjD4TCqq6thNpuRkJAAk8kkmwAC2lAoJM/FsCrLrKrvht5wvguLxSLeaRqr8tjtdrjd\nbk0fNBqNKCsrQ69evdCvXz/4fD7s378f5eXlyMrKQkFBQbOSQr/aqTOfz4ennnpKKiOdddZZuOee\nezBkyBA0NDTg8ccfh9VqxXfffYdp06YBAPbv348777xTw5lcuXIlrrrqKrhcLlx55ZV4++238dNP\nP4n26JVXXolbb70VZ511FtatW4cff/wRP/74Y5P76dWrF7p37w6LxYKEhAScccYZWL9+PUaPHo1/\n/OMfMu6fe+45TJkypclmk2Y0GpGfn99sUYAzzzwT+fn5Ml4NBgOGDBmC7t27i0IBAKHbsF/rk08C\ngQASExNx/vnnAwC++uorrFq1CmeffTauueYaAMDBgwexZ88ejBo1Cjt27MDq1asxffp0HD58GIMG\nDcK8efPw8ccf4y9/+QuMRiNee+015ObmomfPnhrZIKCR47pixQp88MEHUklozZo1SE9P13xPrx1r\nsVjw8ssv48UXX0RycjJmzpzZxLPc3sSZ/3RrrdrSv7NFIhFkZ2cjPz9fxi6jj7RTnVgWjUaxb98+\nPP/885rjHo8HRqMRw4cPb7aw0y9pbQKrXHyA46FuFVSoskR6U8POeqOX1uFwyAugh0c/SGmVlZXw\n+/3inWvJJa4CVv09t8XobaPXWJ9lHQgENHxSPqvKb+T9hUIhDTm/ObqDwWCQUC71ToPBIPx+v5yz\nPTpoeguHw+K5Jm8RgHgoYwF8hqeDwaCU5vP5fLLhILAi2AMgJQKZnKOek2ASaByILNVJb3BKSgoq\nKyths9kkM57AyOFwwO12i04sJadcLpe0bygUkqIRbFOGqEOhUBOlg3A4rJH7IhWB7ULwabVaNW0R\njUaRlJSE4uJi+T6/y80JaRLk/2VnZ8Pv96OiogJ5eXlwuVzYs2ePcFjdbjeqq6tlcqAHhveoVvii\npzMjI0NC9l6vF507d0Z1dbV47dlv2efU7GXV66ZuWOx2u5SKZTuqIUigERCpagD8Tl1dHfx+P5Ys\nWYJotFHqZ+jQoW2q0vWrnRpbu3atpgb6pk2bMGnSJBnvN9xwA2bNmtVEwLuwsFAz9m+77TbZvHz+\n+ec477zzMHXqVBnz7733Hk4//XSMHDkSF154Ycx7YVY8tYxjzcPqsfbKHlLKD2j0Or344osCKKPR\nKDZs2ID77rsPmzdvFq5qhw4d4HA4kJmZCb/fj9GjR2PJkiXw+XwwGAy44oorZK6eP38+brzxRrne\n//zP/+Duu++WaM6iRYsQHx+P119/XcL33333HR588EHMnz9f1p+JEydizpw5qK+vx4033ije7I8+\n+ghdu3ZFJBKRuu0ANGOWpnpxrVYrli1bhmg0ij/84Q/weDx48MEHhVrBtcrhcPzHA9aWKAl6Tuu/\nKz+1rVZSUgKXy4XLLrsMANCtWzd88sknkvj6c4n8+/1+DTA+//zzMXbs2FOao3My1ipYZclGVTRW\nbyo401tbOg47YluqbBDIUfjc6XT+f/a+OzzKMmv/nprpNaR3AglI6IIUVwELoIhtXcu6tssG64rf\np7urWND9XLGsfVVE1wKs+7kWbOgqApZIEUQiBBJCep1MJplkMpNJpvz+mN85ed6ZSSCACn6c6+Ii\n097+Pu/93Oc+9+E0vWilRYOf2C7yYCyr6ApAr4lyp/0j5pY6GwHghzCxeHK5nCUR1FEqXiGCGCSL\nIBBEPbCBftugIwGptK3EDrtcLmbHCYzQRMTv9zMwIfBN65bJZDGgPRqYi3IEjUYTM8j09vayNRWl\ns2ldokF/R0cHgx26gQj8UiV8OBxmXSxpdaMLg8TJjEwm4yIKah0M9Ft42e12uFwufk1A2mQyobGx\nkUEypeCcTifC4TCn2cQZqPiw0Ol0aGxsRHNzM5KTk9HV1YWmpibYbDZuOiAWdxEojicDENP+ZDRO\n6wmFQgxAcnNzmaWnYwtIJ1aivIGuAdIK0nmgBx8BVVE2Eh1dXV1QqVQ8sE6cOBFpaWkx3zsRP25Q\nwZ947YgPOb/fD5fLhQULFuCpp57ie5R8Qimi/Rjb29tjfCFFIPTII4/g8ccfh8ViwUsvvYSZM2ci\nKyuL3S8AxExaZDLZQW114kVHRwfOPfdcFBcXIzc3F+vWrUNhYSFSUlIk36MJ9dKlS/Hhhx8iGAzi\n4Ycf5olWWVkZ/H4/SktL8fXXX2PEiBFoaWnh6/zdd9+VLO/dd9/FzTffjNraWtx1113YvXs3AMRk\nDJqamiTHPxgMoqurC6+//jr++c9/AohMIm644QasX78eMpkMaWlpEieDaLlDNFDZtGkTgEjb24HA\n3PEGVKNrO0RpXLx9FGs9jseI1tkCkXH9gw8+4NeDyaaiM1+HG3l5efjzn/+MXbt2IT8/HzfddNMx\nA1SBQwCrTqcTZrN5wI2m4iZxNtzT08NsGn3m9Xohl8sHBKRi2nWwII/Nrq4u2O12BkXiMki4L8bB\nfFijP49nYUXrMRgMzCIejK0VgcFAQdpJOob0Guj3xCQmcyCpBRAZvAkgKZVK1hMDsUVdAFhy4Xa7\nuTqYgKDRaGSw2d7ezjN6m83GWk4yvzcYDHC5XMz8hcNhZGRkoLa2FgaDgVuDAmBfRNFhgCYbBDJJ\nJwZE2F9iVAk0EQsr3qCkryW21+/3Q61WQ6vVwu12IzExES6XCyaTSfJgJG1yMBhkqYVOp4PX6+WJ\niUKhYJ/UhIQEtLS0wGKxoLGxkR0AvF4vb2NdXR0PqjSIFhYWwmKxwO12o7m5GSkpKejq6oLD4cCw\nYcPY1io5OVny0NNqtSwxIe04MdYAJIWLBMIBSHSBdNzoWqRrnYAIMbDk2Su2cY0u8Bgo7HY7vF4v\nJk2axKD5WBro/i8F6eQffPBBLF26FABw2WWXYevWrezGkZKSgnHjxuHUU0/Fhg0bsG7dOmRkZODs\ns8/mYri9e/diyZIlrGNLS0vDxRdfjC+++EJS0DJ16lQAEcBEPcFbWlpwwQUXwOFwYOTIkcjPz8e6\ndeu4SEN8OGs0GrhcLmRlZQ1pPx955BEu9qqqqsKSJUvwySefYNKkSSgoKEBZWRmAiASisrISL774\nIhQKBW666SY0NDTg7rvvhsViweWXXw4g0vHo0ksvBRBpuUr67/z8fMl66XVxcTEDVUCaotfpdFiw\nYAFaW1vZ4WDOnDlIT0+XVHUDwL59+7B8+XJYrVZcd911kMlk2L9/P2bPno2tW7dKMh4iIBPHvx9L\nXzpx4kR89913P8qyB4po0BlPAnaw32g0GiQlJR0X2tW2tjakpaXB6XQOCDoHm8wdKVAtLCzEwoUL\n8d///d8/qRXVUOOgYFVMsVDodDoGCwSmqOqcLhqxIp4e2BaLhUFLPNDq8XjYvmewVBB1UCJAQ1Y6\ntK54YJXiUIquxCDwRy3QyBzeYrHA4/EcclXewRhdABIwAYALq+iY+Xw+SdV8vOVotVokJCTwxR0N\nNMRKfgJptI+iiwDNxgnQ0AyfJidiYRMN6tS+Mxzu77DkcDigUCgYgPn9fj53ZrMZHR0dMJlM3ACA\n0tK0HQQEZTIZf08E8xQEwEjrG62JjT4GolUUXRMiuKL9piI30uaSTlUspmpqamL9KLGaBCJNJhNq\nampQVlbGIL6jowMOhwN5eXloampCa2srDxLE6AwfPhwdHR18vQHgjmXBYJCPJ4HWnJwctLW1we12\nIyUlhT1XqfECebkSmx0Oh9n/laQVdF7pOtfr9cy0+nw+vi7Fa48mdQqFArNnz5YUopyInye8Xi80\nGg3uvPNO3HLLLQiHwyguLsaSJUvw3nvvYf/+/TjnnHOgVCqxceNG9Pb24tRTTwXQ3xVKJpPhwIED\nuPjiizFt2jS0trZi9uzZUKlUuPXWW3HNNdegra0NOTk5LNmK1go6nU74fD7odDo4HA7IZLK41cTU\nAW2oEc360mu5XI4HH3wQW7ZsgcFgQGJiIrsAAMDDDz+Mxx57jMfVjRs34vHHHwcA1o2Lce+996Kp\nqYk1q6Tti36GyeVy/Nd//RdCoRB+9atfQaFQYNmyZexeMn/+fHz99ddYsGABVq1axev3er248847\nIZfLcfPNN+OOO+5gNnHcuHH4y1/+gs7OTmRlZaG+vp7348eoCo+OnxqoDiWimdbc3FwufD355JMl\nrhXHelAxa7TU6kjiYGyzXC5HcXExewEf63FQsGo2m2OqgikIkBDrA4Cr5inVQ00ERG0jPSDjATiq\nEB0MsMYDo6TpHMw3dahdrug3MplM4vVHOsqhBNlPxbt4gsEgd/6KllQQO0pUf0dHBzsNUDoa6E8T\nyOVyCZCn80A6T9JZulwuSUU9IAUhVLhDDy4CpOI+0HGm34ndsgKBAEwmE3vV0nLIvYH0lUC/Vyot\nR0xRi8wwMZ0EkMQCImI1RJ0XtZcTpQLEIJI7gNg/va2tTQJSaULidDolEhO9Xs+dtMjqSuxQRWDS\n5/Ohs7OTCwLb2trQ2NiI1NRUuN1uHDhwgCUBTqcTqamp3P3pwIEDvK2ia4OYlk9MTGRNs9jClfaV\nJplut5v/ARFWjdgal8sVU1xH62lvb0dubi5PSMk5w2w28/nt6enB2LFjsXv3bvT29sZUkp+Inz7I\npSUYDEqAl91ux4033ohdu3ZBLpfD6XTir3/9K7Zs2YLMzEx88MEHGDduHDZt2sQthCklbTAYOEui\nUChw5ZVXAoiwi3SPzpkzBykpKSyJWbhwIY9L9fX1A6YyxQLGocT111+PVatWwePxQC6X4w9/+AOA\nyL2bkJCA8847D5dffjkaGxtjuviJz4E9e/bA6XTi1FNPxddff42srCw88sgjSExMhMPhQCgUwvLl\ny/n71GK5oKAA11xzDV555RUoFApcf/31mD59Ol577TW89957KCoqwm9/+1t89dVX+OGHH/DBBx/g\nkksuwZlnnomtW7fis88+w1dffYX33nsPQIRsWLVqFR5//HGo1Wps27YNOp0OLS0tcDqd2Lp1K66+\n+momggwGg+SZKqbNj9eU+FBC3EfKyFFW6OOPP/4Zt+zww+/34/zzz8fHH3/MhJAY0cVWg8XBroFQ\nKIS//OUv+Oijjw57e3/KOChYNZlM6OvrQ319fcysmMzMyXInOk0tMoYEimjm4Ha7YTAY4gJS+n48\nwEqV0QM9FEn3SaykCIiJPRO9YgcLYpTEk24wGFhjSelTcV/jhVi8FC/omBGYsNvtrI0UQTJ1IiJX\nAOo4BUQAdLRpr/g3aWZFz1ZyC3C73fD7/eyMQBXyJpMJbW1tsFqtcDqd8Pv9rDUlppE8dInBJUBM\nA2lOTg6qq6sl1f5JSUlwOBz83d7eXgbjBMzUajXb3NCxValUXKhG1wc5G1BhDwFSQMq8iAMZEJnB\n+nw+7lBGBW1UAU/FdQSkjUYjGhoaYDKZ+GEs6lQ9Hg+zqdXV1bxMAsbjxo3j7k0NDQ3IzMxEe3s7\nmpubkZqais7OTjQ1NSExMRFKpRIGg4G1wtGm1vQwIva7sLAQDQ0NaG9vh81mY2cDul7ot+SeUVVV\nJZEpDBs2LIaB12g06OjoQFVVFaxWK0KhEBdcUaMDWkZ5eTmfsxPx84dcLkdKSgq+//57TJgwQcJy\np6eno6SkBIWFhfj3v/+NLVu2AIiwoosXL8amTZt44v/555/jhRdegFKpxA033AAgUm0/UCQnJ2Pb\ntm144403YLFYcM011/Bn7e3t3Oc+EAhg/PjxqK+vx4UXXojOzk7Mnj0bFouFJUA0ltGYTf+L98KE\nCRNQUlKCzZs3Y9SoUTHbdt1118VtbZmfn4+qqiqebOfk5GDdunX4+uuvAUSKJB999FEsW7YM3377\nLYLBIN59911UVFRgzJgxOPfcc3k8u/DCC3HWWWfh5JNPxoEDB7B27VoGnwcOHEB1dTX7m27ZsgXB\nYBAXXHABxo4di7Fjx7KzCIVMJsOtt94Kg8GAM844A1u3bmVpwNSpUyUZS3F8E8eH4xmoarValqId\nLKL3mYrbjrcQi+YMBgPcbjcWLlyIdevWAYjYwYXDEQei1tZWCVi1Wq0S4oeWQb7oB4vjacw+KFhV\nqVQ45ZRTWMCdlJQEQMqmRrdUpBB1iSLoksvlzDpR73BKqYgV3GI6ly5MSnsMxLoSoBELrsTfazQa\nNnQX3x8o4n2uVqslBvgUA3XaoFlftJwCgCQVREEXWbSnHgAGDaSZjZ55iRX98ULUIIpetbQtYsU+\nbRtpkOlvAoR0Lnp6enibaH9pu6gIyuPxcOqazp1Y4EXbGy0xoEYMpCUV24sCkLgN0LLJpsput7O+\nmdhBkRWmyQZ1EYlmc6lq3mAw8EOFbu6cnBzs2bMH2dnZKC0tZZArmq4DkYGorq4Oe/bsQSAQwLhx\n41BdXY26ujrk5ubC4XCgqamJNaytra0YNWoU+1fS9UyWP52dndBoNJJmCOXl5UhNTUVHRwdcLhes\nViu7ZZDbgtlsRn19PR83MoQnbTPQn4JKSEiAwWCAUqlEa2srywfofhYfJNQEgM77iTg2YsKECdiy\nZQt++OEHnmyQIb9cLkcgEIhh1F0uFxfs1NbW4rHHHuP7/oknnkBRURF27twp+Q1lPKqrq/l+/u1v\nf4twOIyWlhYeX/x+P+6//3688847AIDTTz8du3fv5gnX119/jeTkZOTm5vIYED0mAOAGKxS5ubkx\nNlDi/ohx8sknY+7cuRg/fjyUSiWefvppWCwW3HzzzXjmmWck3/V6vTCZTPjVr36FZcuW4dVXX+Xt\nLCoqwqJFi9DU1IQdO3bwvQJEZBRiRLc5LS0tRWNjIz799FNuJTtq1Cjs3bsXarUafr+fraveeust\n1NXVMaiOllkcK6b9RzMOBWD9koLGcADsVy76xgLAt99+O+DvqXmRGOKEJjpE8kKlUuHee+893E3/\nyeOQrKu0Wi3S0tKwb98+7N+/H9OmTZMMBNHFFNQ8ILqDBwVZDJFJstVq5YIOeh/o9/c81AuYHpai\n0XS86OvrY49N0kOKJ1B8GBNLKJqt08BEFeyHG+JDnnS49EAhWyzquASAgVtfXx9LBqIZMQKE8dqw\nikGAUASKdJzJa5SOgyh7ENt8RmtWdTod24oRuO7u7ubUBYFj0TqLjp9oXSZagMlkMmRmZqKrq4vB\nEml7SQohAmtRbkHdqWiZBFDFLldAvwyBrhvR1YDM9env2tpaGI1GLt4oLS0FEJnh0oMqMTGRAZ7f\n72e2tLm5GSUlJcjOzkZ7ezuqqqqQnp4Ot9vNxW49PT0ShiCedEWlUvHkjwa7hoYGJCYmIhAIoLOz\nkwvR2tvb2a6MZufiPkfLC2hfNBoNZyDEa5wkAFarFYFAAElJSejr6zskJ48T8dMFdYXatm0bGhoa\nEAqFUFZWxtetw+HA7373O6xYsYIzOpdccgnfRx0dHZKHoN/v5yp5MWw2Gzo6OnjCNtAkubGxkYEq\n0F/FLi6/rq4O11133aD79fHHH8PlcuH777+XeA97PB60tLQgMzOT9+e8887DK6+8AiByT95yyy38\nTDj33HNx3nnnAYi4AcybNw8bN27kjBwVWgHAF198IdmGL7/8EosWLUJ5eTmP2dXV1ejr68NJJ50k\nsZ+KTtlqNBo8/PDDePbZZ/n45ufnY8WKFdi/fz8ee+wx/q5oMQdEiJqsrCzU1dVBpVJh9uzZWL9+\nPYLBILKystDc3MxOK1QQbLVa4Xa7EQ6HeXwh5lr0o6ZnLo2nMpkMkydPRnV1NRwOx1Fja38qiUJy\ncnLMtXoshtiI6HCA+lAnK+Kx7+vr49qL4yEOuUH36NGj0draijFjxkClUrGovquri1PQQL+OkUyV\nyQXAarXyLJsKhUTAAIALg0Rrk1AoJNE6iVZQAwFF8rc8lIgWqFNlOgXpBmkQJzBDN52oKyGQcKgt\n3sRWsbQ/tC4aBAm0iSyDuHytVhujBXO73dDpdDF2YtESAZIBkI0VDeQOhwMmk4l7ulssFta42mw2\nvkGor31HRwfsdjtCoRDrx4xGIzo6OmCz2RhAAWAd6/Dhw3HgwAFOY9DxpQGU5Am0HqCfFTaZTOju\n7mbXgq6uLgZMXq8XOp2OPydQG90Ji8612GFJq9Vy0RlNxgKBALM/4o0dCARgsVjYBYAKq9LS0tDb\n24udO3dK9LHDhw9nBre6uhq5ublwuVxoaGhg5wSy3BG78Oh0uhgpCnXCAiKDcnZ2Nurq6uB0OlFY\nWMgPKjpuWq0WiYmJaG9v5wdPRkYGuzTYbDa0tbWxMwQ1j6DzLGZIKMj7tqWlBQkJCTEV0yfi54+k\npCSkp6dDp9OhoKCA3//ss8/Q09MDn8+He+65BzU1NcjMzER3dzduv/12hMNhXHrppRgzZgxXu0+b\nNg1jx47FZ599JlnH6NGjUVlZiSlTpvAzgXyhRa/s119/PQaokBwIiFzzubm5kizbQEGtS0kms2fP\nHtx5553weDxITU3FY489hszMTFx44YXIycmB0+nErFmzYDab4fV60djYyB6WV199NaxWK9LT0/Ht\nt99ix44dKCgokKRRTz75ZAm4DoVC2LBhAxMt7e3tKCkpwe7du5Gbm4vzzz8fu3btgt/vj6n32LFj\nR4wbQEVFBU477TRuTkL3rc1mg9lsZj1vYmIiV7f39vbi008/5XtU9MsVrapEUknM3onPEBHwiM/D\nrVu3DnoeDid+KokCXVf/12KobPtgLOyxFocMVuVyOfvlRaddxB7iCoWCgapWq+VULjFrxHJpNBq2\nyqHlAxHA2tXVxRY80XEo9hWHYilFEW3LFd3JCogAb1EvJVpNiQVF4jYMtG3EUorMIVWwk16Tin4I\nrNEgQ9sgFh35fL4Y6QFVetP+DNVk+0iCulhFMwomk2nQmaPYsYbalNJ5IIBJ4JtYH5oo0PGInjDR\ncROPF4F0aiZAkwVaTzgc5gE+NTUVFRUVkMki3a5qa2ths9lQX18PuVyOhoYGXid1cwsEAqiqqkJy\ncrJk/0gnOnbsWFRVVaG6upoZ1nA44pTR1NQEmUyG7OxsZkDEBwyxHikpKeju7mbQGg6HuRXwvn37\nGCSQP6/T6YwpuqImBQAY+CYlJXFxY0tLCxITE2MmZFS0QxMpaiN8PGmf/i9FTk4OfvjhBwlYlclk\ncLvd+MMf/sAs/iWXXIK1a9fyeX700Ufx3HPPobi4GJ9++ik2b96MpKQk3HXXXTjppJNi1rN9+3bM\nnTsX77//Pi677DJ4vV5ceOGFePPNN6FQKGC327F06VL89a9/RSgUwm233YaxY8fim2++gdfrxaJF\ni+ByuQ56HcnlcuTl5WHEiBH83v33388P3aamJmzbtg3Tp0+Hx+PBGWecwcv1er1QqVRYunQpA7rN\nmzfjxRdfhFqtRnJyMi677DIAwLZt23g8vuGGG+BwOLBhwwbU1dXh3//+NxobG/HUU08hLS0Nzzzz\nDJYvXy4p+BxKqNVqlJWVISUlBW+99RaWL18OnU6HK6+8EikpKVwQt3nzZgk7/UuTAFAMViR9qHE8\n6nYzMjIgk8nQ2toqaTZ0KOeZ6j8IVxxKFBUVYe7cuUe0zT9lDMlfhlgxEdwR+CRxPAnkCbwR6ycC\nVVHTSADE5/OxYDw67Sm+JnAw0MV4MGAWvWxie0nTRVpMYqbIDolALelPAbAmkOyByOEgOv0eDofR\n09PDsgN6jzxKjUYjA3sReMZrtECFB+L+U0tMtVrNxUFUUEUp8nA4zC0GRaBHnxHjTYBS9Ebt7e3l\nG4DM+GkfRG0qvU+sOa1bZE3J6J/eI7kDadGSk5ORmJiI5ORkbpNKExcC72LFf1dXF9s7kSSCJCVA\nBDzb7XbW04kPFDoHdF7J05Va+dL1SHpPun5I5wpE7glKAQKRooqUlJSYYjcyxi8pKUFiYiLkcjmq\nq6sxbNgwNDQ0QKPRcGqf0n+U4qTrjY4pnSPaBkrhk2yGwGlrays/lKkjVWtrq8R2i/7JZDI4HA44\nHA4YjUZejygDIHsuoF/ET9t5ooXqsRnUvvnOO+/E1KlTceONN0Kv12Pr1q0Sucnbb78t0b/7fD4u\ntCI2r7OzE88//zwAYNWqVcjOzkZWVhZ27tzJ4/21117LY9w777yDN998E0Bk3Prd737HbbSXLl2K\nYcOG4cUXX8Tq1asxduxYAP2kRX19PRYsWIDx48dLUuM0VpvHoOkAACAASURBVNHY5fV6Y8Z08oye\nN28eL2vMmDEAIkWRIvMoOoCIziC9vb3o7u7GunXrsG/fPlx44YXs+AFEXBBIx75p0yZJ5muoQbK5\ncDiMsWPHYs2aNXjhhReQkZEBlUqFCy+8EAsXLsRpp50meb6lp6fz36Lrg/h8Fp9F0W2VKcRlin8P\n1OjncGIocrkjBarHa9TX16Ourk6CAQ4VeJJ88lDcjvLy8nD33Xfj888/H7TZwLEWQ7oaxRaWAJjd\nAcDpfkAKYrq7uyVtQgm0arVa7m1MrCuFOLuOnlkQYzfYxU+sz0Ahfhad4tTpdDE6UGLjRCskCmI6\nCUAQSBT1qMR0EuiK55wQj3Wk5Yr+rvS+CFjFojTaBqDfIYCWTSCcQnQoCIfDEhZPBJ+iZlVMG4gp\ndFF7Y7fbYbFY0NDQING46vV61oR5PB72/zQajUhISEBnZ2eM0bVYUEEV/AD4tyKbbrPZ0N3djd7e\nXiiVSn7gaDQadoEA+r1nSbdpMBgQDve3VU1ISIBMJkNHRweDMkp7kwMApeYIlKakpKC8vBzZ2dnw\n+/2sDRQjPz8fLS0tqKqqQm5uLpxOJw4cOACTyYSKigqkp6dz04SWlhZmZ6OZc3HiYDQa4XQ6GbhS\noZbZbEZXVxd/l7YbAF+Hzc3NrM/NzMxEX18fM83p6ekxE6O+vj6YTCa+5vV6Pfr6+lBYWHiiuOoY\nDblcjvfffx8vvfQSgAhjKII3CqVSCbvdzunTxMRE2Gy2mAprv9+PhoYGLF68mEHFQw89hFWrVkn0\n6xQejwdlZWUIBALQ6XTc2S+6Y090OvKyyy7j6vxdu3Zh5MiROO+88xAKhbB//35JIdP8+fPx3Xff\nsaRl6tSp2LRpE+bMmYNbb70V27dvxy233ILf//73mDp1Kt9jQATM63Q6qNVqLhKTy+Xo6OiAWq3m\nFrIDVaeHQqEhtxGm+4rGYrPZDKVSyRXtRCb09PRg3bp1CAaDmDt3LnJycnDyySfj22+/hcViwa9/\n/Wu88sor6O7uxpQpU1BRUYGmpibk5eWhs7MTLpcLhYWFaGxshNvtxujRo1FXVwePx4O0tDQew8Rn\nL2Xi9Ho9pk2bhl27drGU4UgYz6PBdObl5SE3NxcbNmw4LpnTYyUqKyuRnp5+TDcAiBdDAqvRDQLE\nC4b0l6JhsdfrZe0P2eZQoQuBzr6+Pm4yEG8dYhC4Er8fL8ir9VDCZrPFyABErZXP54PX6+V0s1qt\nRnd396DFX9GgEOg/PrTd0b8TwSIdRzE9DURAoMfj4QIrMY0tsgLEiJnNZnR2dkqAMtDPRpJmldhE\nYvYcDgf0ej00Gg37ibrdbgSDQR5YSctKMzqbzSZJoQP9kgA678SU0n7Z7XY2vqd9pHNB+08NBei6\noOWRQwEN8uFwf5MDIHKtEGCjByMti5pPdHZ2IhwOo66ujlPp1PqO/FPVajU/wOncWa1WdHd3w2q1\norKyEsOGDeOHZ19fH/+dnp7O297a2srdgwwGA6qrq5Gfn4/m5mZYrVZ0dHSgoaEB6enpXL0tAky5\nXI7k5OS4g7TBYODGAiSjITacWFS5XA69Xo/m5maeQFgsFtjtdlRWVqKurg56vR7p6eno6+vDmDFj\noFAoJB166Dolz83hw4fD6XSeaKd6DAd58IpRVVWFRYsWYcOGDdi+fTtkMhnmz5+PhQsX4p133sGH\nH34Ip9OJm266KWbivmDBAjgcDgloofbAMpkMd955J+677z4AQEFBAc4991x89913MJvNEiYwOmpq\naiTsIBUuiq/PO+88KBQK7ohFce655+Laa69FVVUVTjrpJBiNRqxbtw5PP/00tm/fDiAyJq9YsQJz\n587FAw88gFWrVgEArrjiChgMBvT29jIwFydn1H1KJpPhlltuwVNPPQUAmDlzJpKSkrB3716WjnV3\ndyMlJQWBQAA+nw+FhYW49tpr8fbbb+OTTz7h7Q0Ggxg2bBhCoRA38nj88cdxzz334KyzzkJpaSlq\na2vx8MMP8/Z/+eWXuOCCC/DNN98AiOjnn332WX7ObNiwgZcvTpR37drFf5OFFoBBfW2pu120V+lP\nzXhGE1WVlZWoqqpi67wTcfgxfPjwn3sThhxDAquBQECSVogGjMSg0kUt6hZ7enrYHzPexUaG/vQ+\nFcqIQTq+Q6Guj1YHHUodE1tHFkKANPUCRAY5Ancia9rW1ibxjY1mH6KlDaQDFAEtMRJAP5t7sNa0\nB4ujMTtNTk5GQ0MDp+eAWNYkFAqxPjkjI4MtWMRCLUp1B4NBBrVks0NFUi6XK4bhpUkEuQyITCBp\nNOmBK1pXUbqLmHWtVsuDIwFuYocVCgX0ej13qhK9G2m/w+EwkpOT+UGRnp6OUCjE55pmsU1NTazJ\n3r9/P4xGI6qrqzFp0iRUVVVxwRUAlgsQI0xpRyrEomsgGAxygwKn0xlzXhMTE9HY2MjHQZzYlJSU\nMIig8zZ//nwYDAZus0vVxEDkWjUajejt7UVZWRmmTJlyglU9hiMQCGDSpEmSCvX09HQ88sgjAPq7\nIL377rtITk7G5s2b+R6LBqqnnnoqzj77bNx9992S9ydMmIBhw4Zh/fr1uPfee3H22WejpaUFp59+\nOk8Ip02bdtDtFAmGefPmYc2aNQAi9yoxnNFRU1OD999/H2lpabjoooskn0V7mIZCIZx99tk4++yz\nuYEAECk4s9vtmDhxIr/3zTffoKOjg++JcDiMBQsWYPLkyfB6vcjJyYHD4cCjjz6KL7/8kn9H2RmZ\nTIbExET87W9/Q2ZmJs477zy8//77/L3oKuyvv/6ai6TC4TAcDgcDVSAiDYrO1hxvgG2oet54KXCS\n6f0S42g7JYgNOsSYMmUK5syZc9TW81PFkMCqzWZjdgjoBzvUkjIcDsNoNKKzs5OZMnIEIO2USqVi\nr1PSHhFrRoyq3++H1+tlL0hxfWRTIl6woVAIBoOBGSMROB1pUH/5np4e9s6kFFJ0EEiP1s3KZDIk\nJCRIrIHEferq6uKOMTqdDgqFgh8UNAGIXiaBWVonAfmhAAdRAkD6TREwi38bDAbuG0/7QdpQrVbL\nhUJABAyRhtRqtcLhcDCobGtrQyAQgFKpZP/Prq4u3nZyU6D9EmUAdE7JWouOrXiDp6Wlobu7m4v6\novdXTHmRC4LZbGYtL7Gier1eoruOfvARIymXy5mloElMWlqaZFnEEBcUFCA1NRVNTU1ITk6Gw+GA\nx+OBwWDAjh072CGA9id6UCYGllhUGrjpnIseukajkYEsPUAJfEdPlpqamhAKhZCeno62tjasW7cO\naWlpDLDJrspoNMJisTB4Jn3xiTh2w2AwYNasWSgoKMBXX30Fu92OZ599Nq4f9EsvvTQoEEhNTcX+\n/fuxb98+fk+lUmHfvn1YsmQJbr/9dowZMwZTp07lzwnslZeXS8YI0n5/9dVXLB8QSYh//OMfKCoq\nQl1dHS655BJMnjw5Znuqq6sxefJkXsett96KJ598EgBw5plnoqenB8XFxcweX3vttejp6cF9992H\n0tJSzJ8/HzfffDP8fj+0Wi1efPFFlJeXY8GCBdDpdOyfesMNN8DtduP222/HrbfeCiDCZPb29koK\nFcUIh8P44IMPAAD79u3D6NGjufEJEPGHFdlNmUyG999/H19++SWmT5+OtLQ0GAwGnpQrlUqcfvrp\n2LRpE2fg8vLy2MdVNJYXx0SRnRT/Flu1HipIIjeTw43odUR3Yzqc9rHiMT3e42hLG+IBVQDIzs4+\nLtthDwmsEmAh9gsAV7J3d3dz33n6DnmCAuDCLOrMEwgEYi6ytrY2mEwmBndtbW2QyWQwGAwSoEGe\npPSQFr00gf6CJio8OtKg9bjdbpYxxDvZ5Ls6GGAUt7Gzs1OyD5R+IW9PIJbNpkYJdKwpCKhToZa4\nHvLZpCDdLfms0sRCBKuilEH0kxXPWbQNFBB5CJGzAW0XVd+L+0rgh9L54jVFQVpdsj5rb29n1tls\nNrNnKg221M4UiPgZ0iSGriV6v6enhx8UOp2Ol0mdurKysuByudjCi7Y7JSWFH/I0eUhLS4Pb7UZy\ncjKnDMPhMMrLyyGTyZCVlcXnklKbhYWF3A2npqaGbaVoG0gOQMVydMxJ7qFQKNDc3MwMK4FhkmmQ\n9IAYGplMBpPJxAUiNFmi46tWq9kRgM5jd3d3jKapoKAARUVF2LJlC7xer6TC/EQcm0FOFmPGjME1\n11wzIFAFYidH0WBi165dkuYuQP8EsLq6Gk899RSys7M5GyUSBnV1dTCZTDwuUYc+0ocDkUxcaWkp\nA7s//elPMdsoPtDfe+89SRbn5ZdfZrBKjjOPPvooampqoFKpYLVaceutt+LFF18EAHz44YfsArBy\n5Uo88cQTAIAnn3wSzz77LAoLC7Fw4UIGaEuWLEFZWRncbjcmTZqEkSNHYvTo0QOCAjHq6uowYsQI\neDweFBUVYcaMGdi2bRt3u8rNzcWHH34IAHjjjTfwyCOP4G9/+xsefPBB9PX1YfHixcjIyGCtaWZm\nJjIzM1FdXQ29Xo+LL74Ya9euRWdnJyZOnIjGxkY0NzcjJyeHpVD5+flwuVwxHrrRICkjI4OzZUBs\nx7yjFdFkwuEwpr8UoPpjBknbKI7XlthDAqvRqWdiwsLhiOFwV1eXRNdCFehAPysmFjRptVoGLRTU\nKMBsNnOfdEqbUheoeGCQgBqFx+NBV1cXay+PJMTuUaKWNDoobX0oQalVao1JDB+1PqWgY0wSAo1G\nwyxsMBhktheQFjnRMSLPUhFwigVPfr8fvb29bDVGFzU9lNra2vgYNjU1wWAwQK1Ws9yBvFiTk5MR\nCoXQ1NQU07msra2NZ/UKhQI5/78FK8kDADBoom0nFwBqLtHV1cUPWWJu6ThpNBr09fXBZrNBrVaj\nubmZvWFJv0tBywgEAnz90TorKysZWDscDtbZNjY2QiaToaenBw0NDUhJSWFQF929idinzMxMPv4U\nmZmZqKurw759+2A0GrF7924YjUZUVVXBaDTiwIEDyM3NhUwmY8AaL4LBIOx2O5qbm5Gdnc06Xlof\nXQdNTU0M7El6YbVaJW4DdC3k5OSwKwEAzJgxg8GtTCbDvHnzUFpailAoBK/Xi+Tk5BgZzIk4NkMs\njDnttNN4PAAiD65QKMRafIqJEydixIgR+N///V9+r7W1FdOnT8frr78umShTdHR04KSTToJCoUB5\neTl6enpgt9sxYcKEQxqD6+vr8f3338Pv9w/a1lWcPIqRmprKf3/11VcoLy/Hvn37MHLkSBQVFSEU\nCmHz5s2S33zxxRf4zW9+w0ARiNxfxcXFyM7OjgFo5Ibw5ptvYvny5fjggw+wePFilJWVYezYsdi1\naxf2798Ps9nMYxwQIWv27NkDIHLMaX0333wzzjzzTPzud7+TrH/37t3w+XycFdm+fTs2btzIHfKq\nq6v5Pu7q6sLrr7/O51jseCRmQuMVfcaL6Ba1R8r4He309okYWpx11ln4z3/+A5fLhczMTNaUH28x\nZC6YOtuIxVTUAx3or+AWgwCVQqFgf1W73c6/oYIQapVJodVquZKbGNaBgGp0GAwGZpjiDawUB0ub\n0wBuNpthtVphtVq5KUC87TgU+UF7ezt3U4q2OKICJhG4yWSyuLPQ6HVF+4xSEGNH9loDbT/F4Qjp\nacYeLd2giGdt1N3djb6+Pt4mKooSWWYgMnsmZphYQQJhBCIJ+Ov1epjNZmYKg8FgjPauvb2dWXdi\n8VtbWxm4ErAjKYDofQtEgPWePXskJt0HDhyIa6tGXYPoQUEgduTIkQAipupAhKGVyWSoqqpiCzTR\nKmeg81VTU8MTJJPJBKvViubmZjQ3N8NsNsNoNKKurg4ymUwCVJOTk2G32zmNT/ZbJpMJ8+fPBxDR\nNqanpyMcDnOHourqasyYMQPjx4+Puz0n4tgLjUYDp9OJqqoqOJ1OLFu2DFOmTMGFF16Ip59+GitW\nrOA22vT922+/HZdddplkwuRyufCf//wHWVlZcdczf/585ObmIisri8mFadOmHTJZkJGRgalTp6Kx\nsRFbtmw56Fh6ySWXYNGiRdBqtRg+fDhrXLu7u1FcXIw//vGPWLlyJe644w7s2LEDcrk8Rjt70kkn\nIRwOS3xbgch9qtfr2f4KkNZBBAIBfPPNN1i7di0cDgfGjBmDBx54AH6/H21tbTzxvf766zFz5kzJ\nskXpwPPPP4+Ojo4Y7/KUlBT861//4tdr164dtCPTkRQ//dia8xNA9eChVquRkJBw1D3RTSYTjEYj\nfvjhB3z//fcoKys7bhu4DNlIbezYsQwixIPb2dkJpVIJn8/HVes0eyegJbKAQP8NRqlOKrKKNrbV\n6/XM0g50MuO9r9PpIJfLWaJA9LdoJD9YkKZWLpcf0kUktq0b6HPR+J+WHR0ymYyZu4SEBN4HEXST\nDRjpeCmo2OZQtpdcBUgSQNtGGjIx9U8DjqiT9fv9vL+kN+7u7kZaWhqampokaSRqG0vdoUhfSXZo\n1MOe7JaosAroL9Ai+7De3l72lBOtq8RiJNono9GIQCDAtlkUw4YNYxkEgUKj0cjLS0pKgs/nQ0tL\nC6xWK9RqNSorK2G1WiXnjAqrKioqkJqaivLycgakBFCzsrJQW1vLr3U6HXbs2IGRI0di+/bt0Ol0\nKC8vR15eHjsPUDtgsUUi9Q6n85yWlobGxkY0NDRAJouYSdN9k5ubi/b2dknqv6qqisGpyLYNGzYM\nra2tyMzMxNy5c2N0YOnp6SgoKEBaWhq+/PJL2O32AVsZn4hjL0aMGIFPPvmEJTIulwtFRUWYNWsW\nmpqasHLlSol+csGCBUhMTITf78fChQvx3HPP8WcbN26UOH4AEZupsWPHYty4cdi8eTM++ugj5OTk\nICUlBWVlZUOSiwwbNgwzZ85EcXExvvjiixhbNNLXA5Fx5e9//zv+/ve/8+ekFd+0aZMEwL377ruY\nNGkSnnrqKZjNZuzduxfz5s3Dtddei/Xr1+PJJ5+ETCbD/v37sXDhQixcuBB+vx/vvvsuVq5cia1b\nt2L//v2Srk5+vx9XXHEFv66ursbOnTv5dVdXFwoLC5Gbm8s2XPFCJpPh9ddfx0MPPYSWlhaceuqp\ncY/Z9OnTsWfPHpZ5qdVqzuxQR0Cgv06Elh2dzo/++1DB5NEw6xfjBOPaH+J4K1qrHWoMdCw7Ozvx\n4osvIjExEQ8++OARb+fPGUMGq0ajEY2Njejs7ER+fj5UKhXrVIkN7OnpgcFgkKSeAUiAFfmGkmZJ\nNKCPp13s7e3lgp2hzASJme3q6oJCoYhhKMmMGehnMQnMEiMXzQqKmlAxCHj5/f4BdSG0Lio2o4vy\nUCr7Ra2ZWBwlaoMJ1IjrC4VCkotfBKgUJDWg7RPXRfpVAjEk5Bd/T+sk710Ch9STXq1Wc1tRamkr\nykpUKpXEaovkEVSMlZGRwZMk2ify9iWA1tvby4M03fBiK1xRwC9KFYjx12q1zDz29PSgubmZr7XK\nykr+W7QConVHnz8RqAKRYohQKITq6mqWA5SXl8NoNHIfa7F1YnZ2NoAIY0vOAuJ1T84aNAEU9YX0\nvYaGBmagCYwolUqJRyUFyRLmzp3LEyU6du3t7cjLy4NCoUBaWtohGU+fiGMnlEolpkyZgpKSEvz9\n73/H2rVrAQCrV6+O6x+6adMmbNiwAWPHjsWMGTMkn3k8HsnYMHfuXNxyyy0wm8349NNPcccdd/A9\nduONN+Lcc89FZmbmkMzHzWYzTj/9dGzYsAHfffed5LNwOIz29nbU1tayrIj07jKZDHv27EFfX59E\nEgBEMgkyWaTBBjkhAP06yYaGBokUYNu2bZx1+f3vf88erp2dnWhubsaUKVNiJmzbt2+PuQ8PHDiA\nd999FxqNBna7HSeffDL6+vrw0UcfAQBuu+02JCYmYvz48Sy5+PLLL9HR0YGioiLWwc+ePRsFBQWw\nWCzo7OyExWJht46+vj62nvP5fMjKyoLD4UBXVxfy8/NRVlbGNn9EEgxEqpDFnVjLAID3/WiGCK6I\n+Dqe2n/+WDFUoAocfMIhWpgdr3FYLSry8/Px1Vdfsfk4PRxJ49fd3S3RP1GKl2bkNAsguyClUinR\nEsbd0P/vp+nxeAZsxTpQEJBSqVSS6mWn0xlTGU3SAQpi6+KZ1Q90UYn6SqAfXJGNC9Df2ctutw84\nCKhUKvj9fv4uAXUqmurs7ITb7WZgTPph0SyfwKwIdOhvvV7PrJ3NZoPT6eTjTIVzPp9Pol+lbmVt\nbW0S/ap4LGg7xApVqtCn/aIZOjWNMBgM6OnpQXZ2NqqrqyWFVEA/uKTBjEAqTRCoaIuYyHhaWFoO\n7W97e7tEk1ZdXY1wOAyTycRFE2azmY8lAcNQKCRhKAcKAqpiv28AzDbV1dUhJycHFRUVyM/P52YB\ntK9UVEYhXlMEyvV6Pbxer+SaDYfDrI/Lzc1lticxMRH79+9Henq65D5raWlBZmYmqqqqsHLlSmRk\nZHD6kyZsra2t3JnsRFHD8RdJSUnQ6/UMVIGBje7JVmnjxo3s6wmAawbE8cpkMsHr9cJisWDz5s2S\n62r9+vW49NJLsWXLFsyePXtI26vT6aBUKjFy5Ejk5eXx++vWrYPD4YDT6cS3336Ll19+GaFQCFdf\nfTWmTZuGUCiEPXv2oL6+HikpKXC73RgxYgSuuOIKeL1eLF68GC0tLZg1a5ZEF+vxeLB582YeG6kI\nidqxvvrqqwCAUaNGsZzirbfekjBaM2fOxFVXXYXbb7+djfxXr17Nx6uhoQF33HEHRo4ciQsuuABK\npRKpqamorq7GFVdcAb1ej3POOQcqlQqvvfaaxOP1oosuwoMPPsjjAdUWiPaGdF+Kbg1iU4e+vr4Y\nVhyIjGFEYGRkZCAhIQFOp1NyfcT73WBBx+VQ2VjRazt6Gb/ksFqt6OnpGbQV+dGIeC2Sj7c4LLCq\nUCgwefJkfPPNN5g8eTKDVLFzVLQNBbFoIgsIQFIAI3Z+EoNACYE3rVZ71FrB2Ww2CZDr6+vjjiRO\np1PiERoOh7kg4VBvoujv0eweiO8F29HRwawu/dbj8bBul5ZBYEytVktS5sFgkJlLKnwDpOwwWUVF\nh7j8gfbPZDLFnf2K4NBisSAQCMDtdrMzABVx0OwfiOiKOzs7JcxvV1eXpK0nEHlw6XQ6tLW1seUZ\nSTOiBzgC4OFwpCVqR0cHp8XoeqRjQilFk8nEANtoNPIEiiyb4mlHCSyLFlvi53RMRBcLmUyG7Oxs\n9lOUyWRxAUMwGER1dTXr2BoaGlBYWMjFcCL4TUhIkMhcxFa4VquVHzKJiYlxjcDpPiotLeW2q263\nG+vWrcP8+fP5mImejz6f77jVPf1fjsmTJx80xRg9bovXZ09PD2bPno033niDWf2rrroKPp8PVVVV\nMQVPeXl5GDFiBHbu3In9+/fH6EIPJ+RyOUaOHAmj0YiLLrqIx5JHH30UlZWV+PTTT3HvvfcycMvL\ny8NLL72EUCiEZcuWsTn/2rVr8cILL0ge4mLNAY0/wWAQq1ev5u/s3bsXa9aswezZszFu3Dj861//\nwgsvvACj0Ygrr7wSWq0WzzzzDIBINmflypWS7W9ra4PZbJbUeNxxxx0MaLdu3YpVq1ahpKREsl2V\nlZWcWTraIYJJ0uAPFgMB0HgA9f9q69RDjegOmj9G5OXlxeimj8c4bLMtg8GA1NRUdHR0IBgMsq6U\nfB/FNDiBO9KdUpoX6Dfd1+v1zObR+2IQo0Op/J9ixkWMptlshlqtZkN0s9kMi8UCs9kc84+CXlOx\njFwuh8lkgslk4jaVLpcLbW1tEvBOtlh6vZ47BZGVVXd3N8/CiEmj7lR6vZ6tjsgfEADrf7u7u+Hx\neBjYkAyAzg1ZXxEAE2UBPT09PIkg0KdQKCQzQtEnV4yUlBQJkysCYgLa8dj0hIQE2O32GFaYCrjI\nmYGCGOToAZ1+T8cFiDzwXC4XnE4nFAoFrFYrWltbkZqaCpVKhcbGRonXKxApgBK7bw1UCS9el+J5\npeucPi8rK0NmZiYXW5DeTNSVEuAEIueZGOK+vj7OLhAYtVqtvL1NTU2wWq1ISEhAdXU1t20FIulQ\n8XgHAgHJ5+J+iAOpmMYVr/MTcfwEMXbk4Tl16tSYSWs0wRCtfbfZbHjppZewdOlSPP300zjrrLMw\nfPhwhEIhLFq0CLfeeiuysrIwZ84cvPTSS/jhhx+g1WrZHUCMoUz6xZDJZGhqapKwUX6/H/X19THM\nf2VlJUaNGoWpU6dix44d/H4wGERzczOmTZvGz6rp06djxowZmDFjBmw2G4xGI2bOnBkjYVi8eDHG\njx+P4uJiXHLJJbjnnntwxx13YMqUKUhOTuaiR7PZjFNOOYV/Z7FYMGrUKLz88ss488wzceaZZ+KJ\nJ56QMNUlJSXw+XzcGIRCr9dj7ty5h3R8xGfn0SR2KAYCoCLAPxrxS2dVf6qorKzEG2+88XNvxhHH\nETnD5uXlobS0lH0/qZ0l9VoGpB0ngsEgtFotgzWlUgmLxcKDhUajgdls5n7s4sVKmkOyLRqswn8o\n4ff7GYyR5ye1yyOwQdrJcDjMQDHeP9JhxgsqWoqWSBDokMlkvE9yuRwJCQn8jxwUenp64PV64fP5\n0NPTw8eaQhz8aXtpn4jFE4ul6DtAf4qZlkEdt4AIQKVt02g0rAcLhUL8wOjs7GSg2NHRwewrMaXi\ncaFjLJPJGJhRhy6z2cwsMs3Uu7u70dbWxttFgJqONy1DqVTywEwFWNTvno4xIB3MqVIaiFyf9fX1\nzLaGw2E0NDTAarXy9UB61c7OTlRVVcUFeuXl5cjKymKgSfZjtI0kD6Bjn5qayoVaYtD2Wq1WlJSU\nSFguUd5A+0MsMOnTqKgtEAhIWNWKigpUVFSgsrKSrXDo97TvN998M0aNGsWfeb1eZqRPsKrHbyxY\nsID9Prdu3YoxY8bEMKJnnHEGfv3rX+PBBx9k1wqKvQqDTAAAIABJREFUd955B3/5y19QXFyMUCgE\np9OJUaNGITk5GXv37sXy5ctRU1OD9evXw+FwIBwOY9asWdBqtZLipGeffZYnuCtWrBhwe6PHU5pE\nabVaybbl5eWx/lsEZxkZGXA4HNizZw9ycnIkyzKZTNi3bx+PZ9E2VV6vF7t27cJpp50WkwXz+/14\n/PHHsW/fPpZqBQIBzJ07F7///e9xzjnnYOfOnZJmBh0dHfjwww/xj3/8g9/75JNPJPtosVhQV1eH\nefPmYdKkScjIyMA555yD1NRUXHHFFTjjjDNQVFSEhQsXoqioCKeeeipOOeUUqFQq6HQ6zJ8/Hxdc\ncAEvT2ygQsfTZDINecIpEiBHEoPVmyQnJ7O389EG2D9nRO8znYMfYz033XRT3M/Ecf54jSO6Iii1\nrNPpsGvXLowePRrBYFBSua5QKLiHPbVc7erqklgcUYW3y+WC1WrllqShUIhTtJR2osYCHo9HwtCK\nEa0xHSyiNau0X8Q0Av2G+yKgFC9AYhTJhD5emjy6oIkABgEQ0RkgnvOByWRinSjpM+MN5OFwWGIA\nTLpSaspgtVpZBqDT6VgrRH6o5PdK29TV1cWaVZfLBb/fz+e0o6ODdYxioRFNXBQKhWSfqTuTwWCI\n8eQlsEyFd729vQx+ydajq6tLcl5IEztQ5Stdnx6PBwqFgr9H7V1JlkLsJDVFsNvtCIVCXD0tBjGx\n4rGvqKhAXl4eA/dwOCxJp4mTroMZX4tMcHV1NRda0XYnJCSgr6+PjyvpzcRCPZPJBKVSKemvrlAo\nuOsVEAHINCmoqKhgJ4T09HTMnz8ftbW1OPfccwH0697oHMWzITsRx0dUVlbiiy++4Nc//PADLr/8\ncvzrX/9iLXZHRwfWr1+PDRs2xFSlkySmqqoK3d3dsNvt6O3txY033gin04nTTz8dn376KdxuNxci\nyeVyTJ06FRs3bkRZWRlUKhX+8Ic/8LW4aNEi/OpXv4op3IvH0IXDYTQ1NaGlpQV33nknVq9eDY1G\ngyuuuALV1dWQyWS466678NFHH0Gv1+Oqq67CN998g5qaGlxzzTVQKBRwOByYNWsWRo0ahbq6Oh6D\nowFcIBDAM888w52oosPn82HHjh38jHrttdckgPeVV16JKfQS0/sUF1xwAf7zn/8AAM455xzcfvvt\nqKmpgU6nw6xZs/Dxxx/jo48+kpi7k55VjL6+PnzxxReSDFe0zCgcDjOTKzZrofGfYty4cVCpVNix\nYwf0ej1mzpzJk9wjicHYUtGa65fUUjV6n4mAiW66caQxfPjwASchvwQZwBGBVXr4l5aWIjU1FXv3\n7kVeXh7rBkUNK4Ezj8fD7TuJFSSNYF9fH1fSU3tWsQCHwJxGo2GGM9oOi9YBSAHlQIUw0ZpVIHLT\nU3ELFRXECzENrVKpmP2NrhIlGQBtq0wmg8/n4+Ig2ie1Wo3Ozk6WAkQDVlELFM/Gi7Sr1HXpcPUw\nxN5SiAMH3WhABETa7XY0NTXxthgMBrS1tSEhIQFKpRKdnZ3QaDQMQpVKJUwmE4NV0R2BOqFFp5MU\nCgWziGR/pVAomKGn65AKreh40zaJel4K0U2B7L5aW1slEwZKw4s6PlqGOADl5+ezdZVMJkNBQUFc\nA27SucabaYtBgJkefMQyNDQ0YPjw4dzwQK1Ww2AwwO12IxgMoqGhARkZGTwxpMkJ0M+YV1RU8PJC\noRAcDgeMRiNyc3MlNjxU1BIKhSTX8wnLquM7dDpdjCb966+/5rHM6XTyddfW1oaamhrMnDkTP/zw\nAwwGg0S/7Xa7odFoGKgCESeB+++/HzNnzkRSUhK6u7tx1113Qa/X47TTTsOBAweQlJQkWX8oFML3\n338Pk8kk8WTVarUxHbPkcjkKCgpgMpkwbdo07N+/HzKZDHPnzsVll12G4uJizJ49G/fffz8AoLi4\nGHPnzoXH44HVasWGDRskHsG1tbUoKSlBUVGRZDyl1tfkuSwePzED9tvf/hbjxo3DsmXLYqRBZrMZ\nBQUFKC4u5vfy8vIwYcIErFq1CgDwm9/8Brt37+Yx9Z///KeEJFm3bh2/FsHkQEETiEMJWmc0wQFE\nZFipqakYMWIE3nzzTdb6Dhbi+HYihT94BIPBo+6uUFFRgTVr1khqGiwWC8444wwsX778qK7r54gj\nkgEYDAacffbZ0Ol0qK2tRSAQwL59+6DT6aDX6yWpE9GyilwAyOezr6+PwYBYMU7FOGJREgXpBwe6\nKRISEtjEnwzxDzVUKhWzpPHSFqJekgq/XC5XjGNA9PddLldcnSoAdjog1pSKhCiV3dfXB51Ox+8B\nEcDV1tYGl8sV48F6JL1/CSwTg+Z2u7njllqt5tkb2Uup1Wp+qNBEwev18s2o1WqRlpbG20aAUqPR\nICEhARaLhR8UdrsdCoVColn1+XzMfqrVagaYTqeTrxtav81mk+ilxYIoUbva0tICjUYTI08glqSh\noYGvGVqHaFk1UAw2SEcXb1CITGU4HJak7Km4j0DigQMH+FjQg0GpVLJcgSZ31OEs+jgAES9Lek33\nmwhUgQgD5/f7UVhYCKAfME+ZMuWgx+BEHLuRlpaG5cuXS66HwYpqvF4v/vSnP2H16tV49dVXJZP+\ncePGwe/3xzx0m5ubEQgEkJ2djWnTpuGhhx7C3Xffjdtuuw2hUAjjxo2TMD2zZs1Cbm4ujEYj5syZ\nw/8MBgPefvvtuBO/NWvWsAVbOBzGsmXL0Nvbi/b2dkkK+aGHHuIxqb29HY899hh/tn37dpSUlMBi\nsaCvrw+7du3ie9Pv98Plckm6QQGQMM10f+3atQtLly5FT08PTjvtNAAR94UXXngBjz/+OObMmYPU\n1FQUFBSgtbUV4XAYjz32GF577TU89dRTkor9wwF50Slzl8vF4+nhmMwrFApuBfvGG28csgZ1oPHt\nRPx0UV9fL2mTLZPJcPfddx+VtvM/dxwRWAUiN8PUqVMxbNgwhEIh5Ofno6OjQ2I4L/amJxDV29uL\nzs5O7uYkWi2JaV7SDkZ3MxFviKPd9QHot+yhHvPiP1onrZf2ldjieIwnsXR2ux0Wi4Wr44EIABOr\nuwmUkpyBtKbkd6rRaGCz2aDX62EymaBQKFjHOlhEDyKiwT+BUVH3KgJIAo7UDpf2m8COx+OBRqNh\n1pNY18G2xev1cpEX7Vu8gU680Wjd1CyBNJnt7e0IBAJwuVzM6tM+kUyBipy8Xi8DV4fDwal2YmTF\nhgzR51G0PqPvEPMudh0bKOIx/F6vF6mpqaioqIjRrYqTDpvNBrlcjoaGBjQ0NKCmpga7d+9GZWWl\nZLtExp6AcLz7JyEhgbeZuv+IIfoeyuVyzJkz50e5107ETxt//OMfYyYnYoiTp9TUVHR2dkImk8Fs\nNuPqq6/GsGHDkJOTgzPOOAMAcN5550m+f/XVVwMAPv/8c0lqd/v27ejo6IBKpcJnn32G1atX45//\n/Cc+/vjjmPti9erVOOWUU3DddddhwoQJ2LJli+TzaPJCq9VyK9WTTz6Z349+SIuvm5ubYbVa8dln\nn2HEiBEYP348LrjgAh6ba2pqYrJT0a1IKUpLS3H//fejvb0d48aNw/XXX48nnngCv/71rzFz5kxc\neeWVKCsrw+bNm7F69Wrs3r0bNpsN3377rcQlQS6XczcxrVaLefPm8RgwatQoZGZmwmg0IisrCyaT\nCYmJiTjllFMkGkiPxyMhNMQQ3XpErbKYPv65K/iH4sl7ImJDlK+1t7cP2XbsWI2jomKmh3x+fj4D\nCLKzIiscYtKIog4GgwxERe9Q8tukAVOpVKKrqwt+v/9HSUH6fD5+kItpHLLaOpSHs1h8JAZZLBEb\nKpfL4/qpDVSYJZqzi2wp2RfR+si2iFhqcYAlsEFAjT6j405BrynNHg7Hb3wgTiZ0Oh20Wi3a2toY\n5BLzGV2pT0HG/QaDQaIXJpNrSkcFg0EuBiMAGQwGYTab2SuVivRooCU9FuluifERC8rovNAxAcD6\nOroOyVrK7/dLumiJ1wkd19raWmaNCbTS+mpra2NaU6pUqrgWUvEiMTERZWVlyMnJYf/YlJQU+Hw+\ntLe3S+4HktyI2ujo643Od1NTE1JTU+H3+5GamoqmpiZUVVVhzZo1DGJoMkBsclJS0gmt6i8oBptI\njhs3Dg0NDairq0NpaSkWLVqEZ555Bk1NTVi1ahV6e3vR2tqKe++9F88//zwuv/xyjBkzBpmZmTjz\nzDORnJyMb7/9FvX19ZKmHTabjcdY0pkOFM899xzfRz6fD//4xz9wyimnIBwOo7W1FVOmTMGUKVOw\nbds26HQ6PP/88wiHw0hNTZUA0v/5n//B1q1b0djYiJycHNxzzz0A+kFnbm4uHnjgAf7+e++9hw0b\nNnC7WDGlrVKp2DkkXgSDQdakiibsn3/+OSZNmiT57tatW3HVVVchOzsbS5cuxZo1a9DR0YEzzjgD\nEydOZIbMaDTi8ssvR1dXFz744AOsW7cOACQtpAfrjhUd4lhIXtLA4Eb0KSkpaG9vj6m7iI7DTf9H\n26UNGzaMx+ATMbRQq9XQarV8PjUaDYYPH/4zb9XRiaNWcifOhihFLzoC0IOcGDT6HgGjnp4eBq/B\nYBBer1diHdXe3g6PxzOgZdDhBqXbCVAmJCTwex6Phz1OD5bejX6QRxvBi5ZNYnW4wWCQpPDphpfL\n5RJ7ItK0EhPZ3d3NjGw43O+nSg8Gep8GGHIYIJBHkwcafOgYJyQkMMCJ1mmSlQ3pUulcARGgRoVc\ngUAAwWCQB1RiNknvRV3DyL4qEAjAaDQyCKWUvVqthtfrZcZYBM+kbU1MTEQwGOTmBuQDS8chehIg\nalJp/+h/sQGAqPWk80lBBVu5ubmoqqriYyCmQwsLC7Fv374YwEr7IqYTRe9LmqBE+2EGAgEJ+LTZ\nbFCpVBJvYmroQPsj7rtSqYRMJmN9LUVTUxPihUqlgtPp5Fk5AfIT8cuIpUuX4rXXXovr3Wk0GiVa\nTbfbjZKSEi6EpWhpaYHBYMCYMWMQDoeRlJTEmYFJkybB7Xbjj3/8I9auXQuDwYAHHngghuEXQxxj\no8E0vQ6Hw3A6nZDL5fjzn/8Mr9eLkSNHoquri635PvnkEwZAfr8fK1asQFtbGxITE7lIyO/3cyYs\nHsiSy+XIysrCaaedhq+++gpKpRJ33303bDYbHn74YTQ2NqKoqAhOpzNG1xodlNURIzc3F1lZWfD5\nfKivr8d1112HwsJClmCp1WqkpaVhy5YtaG1tZd3woUR0u+Sh/kalUmH27NlwOp3QarWHDIaHClSt\nVivmzJmDrVu3So7hwY7niRg4CB9oNBpkZWXhySefjCFMjtc4amB12LBhKC0thcfjkVjbKJVKTmtT\n+1WqJCcQRQ9g8s+kFq5erxdGo5HBHHUmGqiV6eEEVXZTh6XoNLNYEBOPbRR9RgcKAnlioRgVUmk0\nGu7wBfRXb4ZCIQZ7BDrdbjfbg1HbQ2Ipxep3n8/H1fhUOU6vVSoVL5cubKAf/BGbSWAdgOSBJqb+\nfT4f/93T08MTERqcaZ9EdwSZTMbFa2KKniYrtDy5XM6FdMS2U6MBAmMmk0nCztpsNu48Q+dRrVZD\nJou00KVzSttB4J2ODf0dj+WmiYfT6URiYiIzwTKZDHa7HRUVFQgGgxg5ciTKy8uRmZkpKbQiZrS2\ntjZm+SJLQvtG4DL6faB/IhT9QBKBKiBN54mODYAUpObn56OlpUVSyezxeCTgW9RBnYjjPzQaTVyg\najabkZeXh5SUFGbeZDIZJkyYwD7TdL3a7XZMnToVxcXFsFgscDgckpalADBjxgxcdNFFmDx5MhwO\nR4wGdKB48sknceDAAezduxenn3467rzzTgCRcSEjIwO33XYb1q9fj/T0dNx9993IyMiAXq9HcnIy\nent7sW7dOtx///3o7e3FlVdeiT//+c+8bNqv8ePHw2KxYNmyZbjvvvsAAOeffz5mz56NnTt34u23\n38amTZsARO4lv9+PBx54AC0tLSgoKMCSJUvQ1dWFZ599Fn19fXC73TH2VxQ7d+7EmDFjYDKZWCpR\nW1uLefPmoaenB0qlEv/+979x/vnnA4hkZd5++2389a9/BRAZ26jr3WAxatQo5OTkwOfzoby8HCqV\nSsJS0jhETgAUY8aM4a5VF198MftyD8QiH07QpID+9/v9eOutt2K+M9iE5kQcPOg5nJaWxp0Ifwlx\nxJpVisTERAYlpFe02+0IBAJcJEJAhcABMXMymQxGo5H/prQuyQZsNhvsdjs0Go3E8mgglnUwzeBA\nodfrkZiYyNo/KhIzGo1szk/m+/SPZsuDtdwUNaDEflLBFAFcAk3RAEU0pvd6vQiFQjCbzby+7u5u\n6HQ6GAwGCbMr/k03fjwdEFmC0TaJmlWVSsXFTkqlkjWrorcq9bsmtlb0dLXb7cwSWiwW2O12Zqip\naxVV89PARdtBGl2yuvJ6vXwciOEkZpH6XdNxExl80tgS0IoGc/QeHWf6XLS/oomRXC7nYiMgwnbT\nsSLpQlNTk4RBp6itrUV5eTkXspA/JD14QqEQmpqaJECa9LZJSUmoqanhAjKRlRevO9pXhUIhYaWo\n8UFubi7rB0eNGoX8/HwUFhYyUI0XBPinT59+WPfUiTh2Q6PRxB0T3G43VqxYgfnz52PChAmcJbvu\nuuvgcDiwZMkSvq/b2tpwyy23QC6XY/r06dBoNDAYDDjrrLNw1lln4eyzz8akSZPQ3Nx8UJAVfX0N\nHz4cpaWl6Ovrw8aNGyWazJUrV2L9+vUAIg4Z77zzDtRqNdLT0zF69GiMHDmSgSoArFq1Ck6nE6NH\nj0ZhYSFf11RAee+996KiogIlJSV45513+D6MBtYrVqzge6WsrAyvvvoq7r//fuzbtw/V1dW49NJL\nJRkT0cHG7/dj9+7dOOuss3DjjTdixowZWLlypaTN+HPPPSdZn+jH6nK5JF0MByqg3bt3Lz7++GNs\n2rQJjY2NqKmp4XGCWocDkWeHKFuj8amlpQUrV67Eq6++iuLi4rjFbYcbYl0KAElGETihVT3aMdC4\nfrzGUQOr4mxI9HcE+rseieBSLCKyWCwxnavIQ5VSnVTFrVQqJenRH6vg41AezgQaBnIaGGjbvF4v\nFyGJXrViZywgko4joEcgTARlZrOZbaoG276BPtdqtcwk0iRCLBgCpIMipafI7ouWS9oum83GTCbF\nYECemE6FQsFgLD09nUFxYmIiz8JpRt7b28vfFfWz9D/5jBLIprQafUYyA2Dg3ugUIogWdbgEomnf\nKL1OIZPJGJgWFhaioKCA/xcfZjKZLMbYnNZFaX+tVotwOMzpeHE74p1fsQUs9T4Xj0FLSwuzxCJw\nJ8mJuC20nGj7oBNx/IdKpcKaNWskXeXE2L17NwoKCvha6enpwQsvvICqqirJdfPhhx+y/zU1G6Bu\nayqVCqmpqcjLy0NJSUlcT+uDRTxz+GhGmCRJFD09PTFZB8oS0Daceuqpks+HDx+OoqIiybGgdscU\n0eN5ZWUlM4/BYBDvvfeeRGLj8XhiUuNKpRJnnnkmu9SIEf06upizpKSElzcU9pHu4+iuf2JBrpj9\nGqqE4GiF6KF9Io48rrnmmp97E45qHDWwqlQqJUwjpW3JG1SsnifPzUAgwM0BaFAUK+SBWNN+0hUe\nzg0ltss8kujt7UVbWxt8Ph+zokMJ0p9S0O9pUKECNbE4JrogChh8JjpYMYzRaDyqUoqBfENFRlP8\nzGQySVgCMcgaKxwOw+FwsK0ZFVzp9XoEg0F+jyQEQGTAFY8ZATR6jyQfQ23zSFrQ3t5e5OTkSH6b\nm5srKVQIh8Nc3UvdsGjd4rVdV1fHgF9kPigMBgNrkwFI5APxfFnF9Bo9zKmYzul0IhQK8cOXZtxO\np1My+9bpdHj//fcBRB7ExF6fiF9mnH/++Xj55Zfj3gsZGRkxE02v1xujJbVaraxTJQN86m5FMXr0\naJjNZuzdu/eojL8XX3yxZPK+ePFiyec2mw3XXnstv544cSKmT5+OTz/9FF9++SW0Wu1BOziFw2Es\nXrwY1157LSZOnIgrrrgCS5Ys4XtYr9dLOrwBiOsEU1RUJNkuSvMDwH333cdWcKNHj8Yjjzwi+e1L\nL72E7OxsKBQKXHrppUe9XmOgOBLbw6EESdfi2SrFezacGIsOLX71q1/h/fffxx133PFzb8pRDVn4\nKE5l/H4/vvji/7H33WFSlWf79/Tedmd7pe3CAos0QUBCkGBFTVQkWCJRP43GeCXWGP1iYr+SGIwa\nS2yfJCoaTaIIagCVIkWkExZY2i5sn7ZTdvr8/pjf8+x7zs42mhH3vi4udndmznnPmXPec7/Pcz/3\n8zkGDx4sIa8AOIJGaVZqJQqkI1UmkwlGo1HymXg8Dr/fz6lm8e+Ubs5EyjweD7RabUYdqVh539bW\nlvGmEB/83b0uBxGPTK8ZDAbuGgV0JeJyqyhA2jVLfA8dU3cOAuJnyGSfxkeLCIL4s9iGFcjcpu9Y\nLpVoNCrRTopdnoD0OZD78dJrSqUSXq8XTqdTMh4qBqBzLhJQ+rzcdcHr9XKVqV6vh8vlgtFohNvt\nhtFoZBubVKqzxSogbcRAWmuqkHc6nTAYDKipqUFOTg5MJhO2bduGwsJCKJVK9k8sKSnhYjjR05Ki\nqgqFAg0NDRydbW5uZmJJuum2tjaUy9pFypGdnQ2v1ytxBgDAnX3IXo7cCKqrq+H3+1lnR/KWvLw8\nlJaWYsGCBT1G7gfwzcdHH33URddGqWq1Wo17770Xu3fvhk6nw+OPP46f/vSnuPXWW7Fo0SJYrVb8\n5S9/wZw5c/izfr8fq1atwhlnnIGioiL+ezwex/LlyxGPx7kzmohNmzYhGAyyT2l3oGr4xsZG7Nq1\nCyUlJVyYJF6nCoUCmzdvRkdHB8aPH58xOEBzYqZiTJpr6HlEc0BjYyMOHz6MoUOHQq/X44EHHkBt\nbS3MZjN+/etfo7m5GU899RRisRjOPvts/OIXv8CGDRvQ3t7OFo/y+ykcDncJHtDxkPNCfn4+Nm3a\nhCeeeIIX7TR3kn1fQUEBzGYznE4nSktLsWbNGu4o6ff7YTQaMXjwYLS2tqKkpITPOwCUlpZCpVJx\nR0MgHWzIycnB6tWrJedO/nzsz3NBXnh8zTXXwGKxYMmSJT36/R7r8+ebBJvNBr/ff9ya3Yceegj3\n33//CRrVfw9OaANenU6HiRMn4tChQ7DZbJKTrlarodPpJG1Y1Wo1QqEQTCZTF3ILQJKuFfU1VOlJ\nBujyFRelbzP5xWm1WglJyxSdpFQrtYcFuo8ehkIhTo8TSSJTdnF7YmEYRcKIeJIelV6PxWK8ihYn\nYTofpMfMRNRFF4VEIiFpTQtAUoRF30lHRwdMJhNSqXR3KnFcRHjpcyRhEJ0FotEoV/rTdqjIi6Ln\n5MNqNpvhdrv5YUBkjFq/Ejmk7kyZoug6nY610HSeyGXAarWyzy99D1RMQjpQUR8sXiPiZEjWUCLx\no+9h0KBBHOkUi9TE7YjFVmKEFUiTVLHVXqa2rkBnQwCg83qj46HPitZApLulc0eLwPLychw6dAgt\nLS1QKpVMhGkBpVKp+DySTMLj8WD16tWoqKjo0h9+AKcPpk+fjlGjRmHnzp0AgEmTJuG2227j62Dd\nunV4/fXXkZOTg4KCAiSTSRQWFiISiaC5uRl33303pk6dylIRi8UCo9GIhoYGCVlVq9WYPHky1qxZ\ng5qaGon+GwBnETZs2NDl71SxD4B13FVVVTjnnHP4fZTF27VrF3uQjhw5ko9DlAnV19fD6/WisrIS\n8XgcR48eRTQaxeDBg3nxW1dXh2g0yrIdmm/GjBkDIK2VbWtrw7Jly7gLHM1L8+fPR1NTE1KpFAYP\nHozq6mp4PB40NjZi2LBhXUj17t27kZeXxz7KAFBTU4OmpibcfffdaG5uRl5eHh555BH89a9/xQsv\nvIAVK1ZAoVDg9ttvx6RJk7Bx40a2F8vOzkZ+fr6k29icOXPw5Zdf8vccj8fhcrkkhZ9y6HQ6PP/8\n81i3bh3Wr1+P1atXS+RI4v9y0DmXvy5/Jv/1r3/lwuVBgwbxd9Hbdk5H9GQf1h+Q3/DphhNKVgGw\nFufzzz9HSUkJlEolzGYz2tvb0d7ezoQsHA6z3ZBer5cQL7Jloos2E+kkzWd7ezscDkeX1AURTnGS\nIxKl1+tZoyNWiIvw+/1ced8TqMMWvS8cDnf5HBFIkVRTO0zSEdntdibr4iq7o6ODI8lEKDwej6TD\nlHjMoVCIiT21dCVSLxJiIqvUClWv1zNZFY9Fr9ezGJ8imCTxoH7ysVgMer1esu9wOCwhrECnDlmc\nrAsLC3HkyBG20SKdaTQahdfrRSqVgtFolKT7qRpZjAIA0kpS0qdGo1FJwwWKRPSEwYMH48CBAwDS\nkyXZesmLs1pbW+F0OtnCKi8vj62hSktLEYvFUFFRwTZU9OBMJpNstN7Q0AClUsl6VToOAEy4RXkI\nNYoQIz5i+p+ujba2NrYPs1qtHJU9dOgQF13Rdm02GxQKBRcVEsaPH4+9e/cOkNXTGEajEV988QXe\nffddNDc3c2p77dq1ePHFF2G323H33Xdj+vTp2Lx5Mz755BMsXLiQ77Oamhq8/vrr+P73v8/3SDAY\n7BJ4SKVSsFqtGD16NHbs2CEpZgU6F1o099NnIpGIpBAnlUrBYrFkzDK0trZCoVCgurq6x2P2eDzw\n+/28DZ/PB7/fL/GjpKJJsv2RZ9m2bduGyspKDB06lDMiNF8CwMGDB7F27Vr84x//gM/nw/nnn4+c\nnByoVCrMnz8ftbW1uOSSS/D8889zZoainUBa9rNo0SKW6TQ3N+Ptt9/G+eefjxUrVvCYnnrqKSxe\nvBivvPIKz3Pr16/v0j51y5YtErkSvd5TI5nGxkbceuut2LVrl2RR3Bd0995MEiZ6fyb/6QFngP5j\n6dKlWL16dRdd9jcdJ0Wc4vf74ff7ufsT0NmVQBCtAAAgAElEQVQhg8grRdnsdjs/IAOBADweDzo6\nOjg6BXTtwkGwWCxsAyWCCDAVK1HhEhFptVrda4MBMvTvLzKlTDNNCPIGAt0VIhkMBokwnohrJp2P\nfPVpMBh67EbSl+OjBwXpROn4qKOWHKKDAY03HA4zUZVDXJCkUin2uBW1nACY5FKhHWnnqABNo9Gw\nwwSQfsiIzgQ0FoqmZvIilV9HXq8XLpeLNaCibIMeYnKrGjpGMVJBEUxaMMjlIIMHD5YsVEQNq16v\n5+MiWzc6X/T9UaU0aVQrKipQVlaG4uJiAGmZjcfjQXZ2NkaMGIFBgwZh2LBhKC8vR3l5uSSyKl5r\nbW1tElutAZyesFgsuOqqqzBmzBiMHj0amzZtwmOPPQaXy4X9+/fjoYceQmFhIUaMGIEhQ4Z00U4e\nPHgQO3bsQEtLCy/CRIL5yiuvsGPJu+++i/z8fGzcuFESQaMsycyZMzFt2jRMmzYNZ599NmbNmiVp\nwapWqzMWXQFga78TjYcffhhGoxFZWVn4xz/+wX8njW5TUxPGjx8Pg8HADRVisRjuv/9+vPTSS3jn\nnXdw8803w+fz4cYbb8T69evR1taGl19+Gc8//zyA9Jxy//33Y8aMGbjrrrskLcgJmTr8UUGlnNTJ\nNbl9beghztFlZWXYtWsX7+dE4OvujvVtQXf+2d9knBSyumfPHmg0Gtjtdi4UUavVMJlM3OLTYDBI\nbgyfz8eRVoPBwISSWniKEG9Ym82GRCIhqWbsLWXQl0Krk5F2kN/wRFh7E87Lq72Bvtt8iBZhFAX1\n+XyIRCKIx+Pwer3siSq26CNdFO3P5/PB5/Oho6ODo5OZiIzX62WvU3HB0R25pYcapUCIlKpUKkk0\nl8ZGlfLiWOWtfQFw4wHaN507MX0lpgfz8/MlC4Li4mIulPJ4PNxdS3SrEHWlQGelPUVaaMKg/Yr2\nYI2NjTh06BC/l85TXV2dpNNWIBCQnDdx4UY/+/1+JqpFRUXc8S2VSnf0KSoqQlFREWpra9HQ0AC3\n243GxkY+LnrYkYSDLNrIn1G8twZweqKxsZF1j/KFdFNTE2prazFkyBCMGDECzzzzDJOfkSNH4nvf\n+x5KS0sxY8YMzJw5E5MnT+Z7tLm5GTfddBO3Vr7zzju5gcgXX3zB++jrfNuTfro7Hf/x4Msvv8QD\nDzyAcDgMj8eDq666qovl0gMPPIDNmzcDSFfs33fffYhGoxJ/U+rcJ0+3k6XXs88+i0ceeQSff/45\nfv/73+Oll17CD3/4Q16I2mw2zJ07F6NGjZLoem+55RaYzWbcfvvtPA+NHj0at99+O2bPno38/Hzo\n9Xrs27ePX7dYLJJgh91uh1arRWlpKfLz89nqTnQ4kSOTBvhY0NdCX3oefFtwvIsucVF1uuCkkFWz\n2YwJEyZI0uOxWAxarZb9VIH0hZpIJODxeLh7lM1m6+IZKloIEYjoUqcn8ubsKzQaTa/FI30htFQY\n1hsyETWg05qlp5WrSK67iypkglhkRKl7akZAWtBEIoH29nb4/X6OLJJkg94LQKJJE6vqqRCMtEzk\niUtpeHFSa29v73JOrVarpE0pfS4Wi/H7STJCnw2HwxIrGhpnIpHgY6YuVqlUStJ2lc6z0+mE3+9H\nTk5OF9ItpiSLioowcuRIFBcXQ6lUwuVywePx8PdAhFducyMSVmqVS7ZelI4bO3as5PukiXvQoEEc\nRaZ9UMtZgkql4uvO7XajqKgIZWVlfL7F+4NA7yHyWlRUhEGDBsFsNvN3QE4M4vfU0tKCAZze0Ov1\ncDqd0Ov1mDNnjoREnH/++di3bx//Xl1djQ8++AAvvvginnjiCcyePRtOpxNvvvkmVqxYwZ7KW7du\nhdfrlcx9qVS65fPUqVMRDAa5PSkgJT0ulwtLly7tYoNI28gEcXF8oiA3xe/o6JA0awE6MxoEt9uN\nioqKLprdQYMGSVrMarVaXHbZZQDAWlLC7t274Xa74XA4kJOTg6uuugobNmzAddddh+bmZowfPx45\nOTnYsGEDHnroIbz00ksYN24cBg8ejObmZvz973/HrFmzMGjQIM7sJZNJ5Ofn89yv1+txxhlncIOe\nuro61NfXI5FI4ODBg+xlC6TnkZkzZ0pafhMyfR9GozEjEZXLsMTnOtVCZMK3LSJ7vMf71ltv9bkB\nxzcFJ1yzCoDthQBwkYvf7+fCKOrkRORC7L9O+jt62FIDgVAo1O2FrNVqodPp4Pf7e03viyBNp9xa\niaKO3e1PrN4nPWd3zgFyZJIXRKPRHm05qPMXAMlkIScwPcFutyMSicBoNHI01W63w+12Q6PRwGaz\ncVtXo9EIl8sFhSLdrEGufxLHQRFKs9ks8T8kLS+tEA0GAzo6OjJ2zQE6i+bINYK0okDnw4AqYLVa\nrcTEn/ZB11UwGOQJOjs7mx8udrsdWVlZ2L9/Py+CCFlZWWhqaoLP54PT6UQqlWIXB9o/pf2OHj3K\nkoDS0lIcOnRIol2l94kFVkBnReuwYcOQSqW6kGRx4s5EFsWHPkkCPB4PRo0aBa/Xy/6W0WiU9YNi\ntbM4BqVSyXpX2q7RaGQ/ZFG7Wl9fL9HUDuD0g8lkQiAQQCgUwrXXXsvXYmVlJW644QbJNbRjxw5E\nIhEUFBRApVKhqakJEydO5Ov0N7/5DS699FIcOXIE48ePx+zZs/HJJ58ASBdwTZgwAVqtFuPGjcNX\nX33VpTtaXV0dzjrrLDQ0NEClUuHVV1/FNddcw69nIkfBYBAHDhzIKI86HkyfPh0jRoxgZ4/vf//7\nbNVFuPnmm/HBBx/wPH7LLbdg9+7deOihh7B8+XL4fD5MnjwZOTk5uO2221BZWYmDBw/ivPPOw9ix\nY7F06VJMmTKFnQ6AdMT60Ucf5TnihRde4GeqWJApkmkx9fuvf/0L//rXv7ocT3t7u6QjZCadaCY8\n9thjWL58eZ/lAPLoM6Gnz8slZHL0pK8dQFecbhmxk0JWye5i9OjRsNls7AJAD0UiZjTpZGVldWsj\nBUjtg7qD2Wzmdpz9AREjoDOlrFCku2iRv6YccmJJBUbdaWvFz8nfQ1GsUCjEbWapK5M4RiqsoRWt\nSHTk5y0SiXQh2iSx6CsSiURGIizvdEXRPTouMf0udruiYitRLwp0ErC8vDwmgRqNBslkUiInoGPO\npLMl0iUWXNGxitFhOVEWz4fP50N+fj5aWlrQ1taG7OzsbiP1RUVFOHr0KLKzsyX6zvz8fADph0Ze\nXh4UCkXGVFp3kaGWlhaWHlD1MZ3XQYMGcZEK2dEcOnQIRUVFTKZDoZDkQUbjkdu+NDU1YfDgwYhG\no6y5pe+RiuZEdPfgGcDpA6PRCIPBgEWLFnFKG0hLuigDAaQjgD/+8Y/hcrkwbNgwPPLII3j77bcl\n0fenn34a119/Pae4lyxZgnfffRfxeByXXXYZE8qCggKUlpZi8+bNksYTL730El/HiUQCDz/8MK66\n6qpuNfb/+c9/cODAAajVakyZMuWEnhez2cwFaEajEVdccQW/tm7dOp5Dnn/+eSiVSowbNw6jR4/G\n/v37kZOTg7vvvhsFBQXYuHEjVq5cidWrVyMrKwuXXXYZGhsb2QN59uzZsNlsWLt2Lc4880w4nU78\n9a9/5X2diMiiVqtFXl6ehKA6nc4+PTP//Oc/S2QNmfBtsJf6pmDkyJGYOnXq1z2ME4qTQlb1ej0m\nTJiATZs2YebMmYhGo3A4HKyRpBtP9NikoqhMKy+tVtunVYLVau2SkhERCoUkvefF/5PJJPx+P2v2\nTvQKXYQYXaXJjsglRThEUD/uQCDAkWa73Y54PM7yh2QyCYPBgHA4jEAgwG4DBFG/SQSZfk4mk0wy\naZsE8WelUtlldSsfazAYlGhEqSCK2uRS8Zz4fiBNKilySlFjoNNTlSKzoiuA+HoqlYJarYbRaER7\nezsvKMTFgdPpzNi7W6FQwOv1wmKxIDc3F01NTfw+itTT96RSqXibXq8XVqsVY8aMwfbt2xGPxzm6\nKq+eFXuqZ0Jzc7NEX0xjp3FQ5J7srDweD0eU7XY7fD4f2tvboVKp2MuRoqd0vinSnZ+fLyG15G9s\nMBi4fa/ZbOZzS9sY8Fs9faFQKDBx4kT23SSQVRpdQzfffDNnWvbt24cPP/wQ06dPl3wmKysLeXl5\nLKWxWCyYN29exv1WV1fD7XbD5XKxPlNeDBSPx7F06VJevImR2C+++ILT7n11regvobLb7bj++uu7\n/D0vL0/S6OaCCy7AwYMH8fbbb6O6uhpjx47Fli1bEIvFcPjwYdx33308dzU2NuInP/kJcnJy0NTU\nhB07dqC8vBzjxo1DcXExdu3aJYnoZmdnIxAI9Np1rztUVlZiz549OHjwIN/XFosFeXl5aGpqgl6v\nR1lZGRoaGiSuAUA6e9QTUS0tLcXo0aPR1NSEr776CoCUuA6Q2BOPns7pggULMGfOHEQikZPKY041\nTlqrCofDAZvNxilQIJ2mNRgMiEaj8Pl8iMVikp7PBHnkkn7vLQWhVCp5e5neS2kanU7HRV8EImtW\nq/WkfMGRSAQejweBQACxWAxutxtut5vJHqX6lUolTCYTT+CkkaSIZjweZ6E5Fa1Rulyn0yErK4s9\nUEnvCYBtjIiQEzmn16g1IH03AJj4AmAyB6QXI9nZ2VxlT21wNRoN/03UTqZSKR4zkW2gs1EE6V/V\najXriJPJJBf6AGCvRYVCIUlRy6O0NJmTh6DYUIIiq6KdmUaj4RQ3tWnNz89nCx/yZ/V6vXC73UxU\ni4qKWG9N/q0iEaaUHLXilUcnKZIkCunLysokERTaXnl5OUf5XS4Xjh49iqKiIo6ckmUVALbfUSgU\nbMlD/8htIxgMIjc3Fzk5ORxRpUJIuV7V4XB0IbcDOD2h1Wpx4YUX4tprr+XgwUsvvYTvfve7iMVi\nWL16dRdJEMkG5s2bB4VCgfz8fLz22mtQq9VsodYbpkyZwpkRAPjpT3+Ks846C0D6nrzlllswduxY\ntnKjBWQ0GoXb7caIESMyEtXf/OY3KCwsxJgxY7Bly5Zu959pERaPxxEIBLBixQqsWLECy5cvx/Ll\ny/Hvf/8b//73vwGkF5iBQABVVVUAgIULF2LkyJG48sorUV1djVdeeQVAOpOxZ88eySJ71apVUCqV\nCIVC+PWvf43rr78e8+bNw5o1a3Dw4EEoFApcdtllsNlsMJlMuPjiizFz5kzo9XpkZWWhsrISOp0O\nhYWFKC0thV6vx9ChQ1FQUACDwYCKigoYDAbo9Xpccskl2LNnD+9bzM598cUXCAaDcLlc2Lx5cxei\nqlQqezTrB9KyjQ8//JCJKiBdEGQiVf1d+BYVFWVs8vNtRXdEdezYsfif//kfaDQabN269RSP6uTi\npERWCUOGDMG2bdvYT4+IGFmbaLXaLkUjmUCEJhKJ9GrBQWSUmgLIu2glk0lYrVbo9XrJvunmOVkt\n3ZRKZZeiMDECGY/HEY1GYbPZ0NHRAavVyqSR9Ilin24q2KHtAelInGhDRDYyQJrYEpHsTbMaiUTQ\n0dHBEWaXy8XeoL2BNFQUBRSlC/R38g5NJpNQqVSw2WwcpfR6vfx7KBSSyCFIa0merkajkbtR0fmh\nBx4Re7fbzTc2XXNAJ5mmBgJAWgsmpiOJDBKam5vh9XqhUChQWloKpVKJ+vp6aLVaNt5XKBQYNGgQ\nd7lSqVQZ5R9ELomcirZbdJ4AsBckLbBcLheKioqg0+k4okwknIrFxAguRaHongDSC6NAIMDXv8lk\nkmhV6X8aDxXLiAUjAzg9UVZWhvnz5+PJJ59kKRQAzpRddtlleOKJJxCPx2EymTB37lyo1Wq8+eab\neP311yXzp8lkQlNTU5fiQzm0Wi3Gjx+PTZs28UJszZo1aGpq4o5xRUVFLIG57777cPDgQVxxxRXQ\narW8IBSxbNkyPPjggwDSC8fLLruMvZP7AmpaI2YpgM77MhqNIhKJwOVyYdmyZXj33XexadMmvsdi\nsRiWLFmCsWPHAkAXnWtFRQWSySQWLVqEjRs3AkhnmV588UVMnjwZsVgMCxcu5GDBa6+9JikwpYJW\ncRFZW1vLP+/duxczZ86E0+lEYWFhn49bDnnQp79+q91BTrZ6i742NDRwdmcgSts9tmzZgqlTp8Jg\nMODcc889rbxWTypZzcrKgtFohM/nk1TMUyo+Go3ySp3IhbxNJoFSSsFgUNL9pyf4fD4J+aC2dEDX\nqvqT3Q9Z7LYEpCczcaXY3t7OaXOj0YhwOMypY2od6/F4oNfruQ0tIF2hhkIhBINByUNGTpJEIpNJ\nqyQWvIkg036xOp9A3pw0kZAulXS81M2M9k36WXovkS0igrSoCYVC8Hg8UCgUTO7UajU7A1AXFgBM\n/gOBALKysniSF6On9fX1vH2lUgmn08mfz83NRUtLCxPrTHKSqqoqeDweNDQ04PDhw7Db7SgpKUFD\nQwNH9KlRQCqVQnNzc7eTO028DocDbrebSStd22LhBHUR83g8TBipqhpI61k7OjpgMBj4c/SQTaXS\njTBEazIgLYmIRCI8Nmq1ShDdCKg72wBOf2g0GgwdOhTr1q3r0gYZACZPnoxnnnkGR44cwZAhQ2Aw\nGLBs2TLJNkTNOpDWrIrbyBRVo79t2bIF2dnZ0Ov1KCwshE6nY5JpsVgwf/58vPnmmwCAxYsX47e/\n/W3GB7I8bV1fX98vKYtSqYROp0N1dTXi8TheeOEFNDU14corr8SoUaMApCOKH3/8MR588MGM90d5\neTn7PM+ePRv79u1jt4Rbb70VQFdv50gkgnA4DK/X2y87xkxYuXIlHwstpo8XfSWqlCGLRqPdPtNF\niMdHXRczvd6X83C6Edr+Hg91g3vvvffwzjvvSHTW32ScVLKqUCgwYsQIhEIhyepUJC9EYqn9ZaZQ\nP6WFydtTpVLBarX2eAETuQ0EApJWkqcCVODUW5S2p8YDlDYnLSaNnc4PFYNR5JjIokhYgc7IHWk9\nk8kka1xpMlEoFEwARXkESQ8AcHcjt9sNnU7HEW6Px8OfEyOo8ogqQSRlZC9FRJOkGESqLBZLF7sr\n8oCl80w3MkUaAEh0sWSD5XK52D4NkFaWitdFMBhEMplEaWkpfD4ff0fJZJJ/p4nf6/XCbrezHKC8\nvJxlL9TJKtPkTtFvn8+HeDzOXWqA9MOLxiim/30+H0dUI5EIWltboVQqkZuby8ficrmgVCpZonHk\nyBEkEgloNBpkZWXxuacHIvmwkl4YAOtVTSYTDAaDJJNBLWgHcHpj8ODB2LdvH8rLy3mepfn6wIED\n+N73vscLfypQlRNRar6hVquxZcsW2Gw2DB8+nBeocs9jwp49e7Bu3Tp897vfBdCZAaH78PPPP+f3\nplIp7Nq1K2Mh6HnnnQeHw8ELuiuvvLLb+V+hUCAYDKK2tjZjQeSCBQu42GnhwoX46quvUFFRAYVC\ngS+//FIyfmpfqtVqsXz5cgSDQTzzzDMoLy/Hn/70J9x7773Yv38/6urqMH36dPz0pz/F8uXL0dLS\nApVKhWuvvZYX+NTtC0gvPoPB4DEVOyaTyW6JKhW9Ur1DpmepmJXJBHJyEeH3+6HT6XhuUigUqKio\nQENDQ6+NRo63iv10IqrA8R3PV199NUBW+wqr1coWJNTWEUg/MM1mM+sW+5p+p25AfXk/kVuy9KGo\nXCbQBUHWWscKkYT0NMZMqeFMID88StOK7URFJwMCHXNHRwe3P43FYggGg3zuaWIRfUeDwSBHREW5\ngQgqtKF0PIFWzmQdJbfAEt9Hn6NiqVQqhUAgILFUonFSQ4hQKMSklo6PIpBEwrxeL7Kzs+F2uzkC\nLBJ8ahurUCi4qIHsq4LBIBwOB/Ly8uBwOFBTU4MjR47wuSGySpIEk8mEgoICNDY2wuv1sjsAnaO2\ntjY4nU4oFAru6y0/j3TO2tvbkZeXxwVWyWSS20bSIk08h1SkCKR1XFRQRk4JhYWFEkNyp9MJlUqF\nQCAgueYcDgcblYseq0RoM6U+m5qaBsjqtwAKhYKLBmfMmAGPx4M77rgD9fX1OOOMM2Cz2bpEM+Px\nOP71r38hGo3ikksukWTStm3bBovF0sWiKhNycnKwYsUK7Ny5E6NGjeJrMxQKwWw2Y/z48ZLU99Ch\nQ9Hc3NzFWq28vBwbN27E22+/jdzcXCxYsEDyutfrxfnnn48dO3Zg5syZuOKKK/Dss89ixYoVyM/P\nx6233soL/r///e/8uUAggI8//pjJqtgiFQDmzJmDHTt2oKamBm63Gx9++CFmzJiBO++8E4899hie\ne+45AMAnn3yCvLw8/OQnP8HOnTvx/PPPY9asWUzmg8Eg5s6diyNHjiAWi+Hiiy9GU1MTVqxYAaPR\nyFX9TqcTWq0WDQ0NKC0tZV26Xq/vsdj4V7/6FRYvXszSgZ6in70VdWXyEBfrJeh3UTc7gJ5xIuQW\nFosFlZWVJ2hEXz9OOllVKBQYPnw4Vq9ejerqahgMBigUCuh0OrhcLqRSqZP2ACSS6vf7kZWV1acV\nis/nOy43gP5qXvvS1jWVSkGr1XJlLYEipeLnyXhe3k7UbrdDpVLxqpYq7qltp9VqRWtrK1eEu1wu\niWY1EAhIIpqZXAJEki8W6ohyA6pIp6itVqvlFrIAuCjA5XLxBEoaVqpMp2gpkDbgFnXJYjU9/d7R\n0YGOjg72caWx6/V65ObmorW1lY/N7XZnfKi2trbyufP7/bBYLGx1Rfv3eDwoKyvjKEZ5eTnbxFD0\ngaI9tD8xKqHRaLh5Q1lZmSRiTOl/+j0/Px/xeJxJMo2ZXieyTJEYhUKB8vJyuN1uhMNh3j9VepPv\nMUVWqSWyXq/HsGHDcPDgwT53TRvANx8FBQVwuVzYtm0b7rzzTqxevRpAuvo+Ly+Pi3mA9D122WWX\n4f333wcATJw4EatWreLskEaj6fN8qtfrMWbMGGzduhUFBQVMGGlu+b//+z/cddddOHjwIObOnYui\noiL85z//QUdHB0aOHCnZ1tChQ3Hfffdl3M8zzzzDUdpFixahtbUVH330EYC0j2xdXR23Qh08eLCk\nOQERY4VCgQsuuAAWiwVLly7FiBEj8Nxzz3FxJoGKLdeuXSv5+9q1a9kRYMaMGfD5fOy+kEgk8Lvf\n/Y5lAq+88kpGzapYwLx3717+uaOjA3a7HR0dHRg8eDAUCgUfQ2lpKSZPntxjl6P8/Hzk5uZKmjZk\nwolKuZPsIhNp1mg0mDNnDt57773j3s83BcdLVO+//36UlZVxW/DTASdXqPn/oVAoMH78eGzYsEHy\nJZDO72T2H7dYLFwZTfZQmTzrRAsp6uZ0rN52YlRK3DaQJolUBBMOhzlFnam/c2/orv2caDXTXZRY\nvq+eVuEAOOVHBVJEaBSKzi5VVHBAq2qaUMl2StwORT7NZrOE2FJlqjhG0cOVirIo8qhSqZjs0edI\n9iFKAej7EIktkX15dFcOtVqNvLw85OTkMCmka1YsepJvX4Tcj5bGI0YlKBIhjkGpVKKsrAwqlYoj\nqlT4RWOgAgr6PK2mQ6EQVCoVysrKYLfb0dzczMV5pFElokrnjSQACoUCLpcLgwYN4gWYvN/4AE5v\nVFZWIhqNYtu2bZK/Hzx4UFJdf/jwYSaqQLpF6YYNG/j3/hKa4uJi5OXlceGRRqNh3arD4cBLL72E\nFStW4KabbgIAjBgxAgcPHsTatWv73BNdXvUur3gX0+avv/46qqurUVhYiFtuuQVGoxFLlizhMT32\n2GPYsWMH3n77bWRnZ+Occ87hz2q1Wpx33nkA0g0RRIi/V1dXo66uDjt37oTNZuPOfIRjIYRerxeR\nSAS7d++WFF8dOXIEDzzwAFwuFz8fHA6HJNDS1NSE7du39yqd66uGNBPEBQzJ1MhFQkQsFstIrL/N\nVnryQnMx4Ddv3jw89NBDyM/PP63m7JMeWSUYjcYuaW9acVNhjFiAdCJBkTkiTKLWk0A3ndlshkql\n4m5Ler3+hFpmhEIhjmYCnWSSUvJUUCSOS14YEAwGmeTQcYgWVeQeIBaXkRRAjDyKqYZkMskNEcSK\nVjovNpsNSqWS/T2J+JMumCr85almj8fDk67BYEAoFOLXVSoVa16B9DUiarLEqGNWVhaTNYqQAp2R\nWooSWywWPqeinMBgMMDlcsFkMrEfKUV1yYOQmlMQmdbr9dzljK6ZWCyG/Px8NDU1we/38880HrLq\nEZsEAJ2FFFu3bsXQoUMzVtmK3yfQuYCgNrnkQhCJRNiflshzMBiEWq2G0+lEc3MznzeHw8FjIhkO\nXSPUAIC04rT4UKvVqKqqgkajgVKpxMcffwwAkqj+AE5/aDQaqFQqTJ06lYuoVCoV5s6di0Qigc8+\n+wzTp0/ne05ceIkPT5Kz9Afjx4/H8uXLsWHDBu4k1x0KCgpgMpmwZ88efPXVVzCbzZgxY0aP258+\nfTqnpZVKJc477zzs37+f5z7RUN1gMODRRx+VZBZEv+Xly5dj2bJlWL16NYqKinD11Vdj5MiRUCgU\nsFqtqKysRH19PS666CK0tLRg7969GDduHMaPH49169YhlUrh+eefx6JFiwAAF1xwAW699Vb2aQXS\nmZKOjg6+73tbAMhfF+sHksmkxNZoypQpyMnJydjxSnQEoW59mZCVlSWpG5Bvg+ZJEfKaBiqa7W4b\nffnb6QZ6Nskhj0CnUim8/PLLyMnJwYUXXsitVsmJ6XTAKSOrCoUCQ4YMgc/nYz/LQCDAusFwONzF\nTupEQaVSseE80PtFToUlHo8H4XCYPT5PFDQaDUeVY7EYHA4HlEol2yx1F50jUHSMCBq9nyZPeStR\nAKzXFHVE5K1K1fyAtDBKfC9pWqmBgBjtpAhpJBKByWRi31F5ZEAkUG63G/F4nBcrarWax2Cz2dgP\nFgDLGkTJA42RvBfp+1GpVIhEIrBardziVyxMoP+JpIkP0oaGBnZeIJE/bVdcYFBhUlNTE0KhEPLz\n89Ha2oqSkhLW9W3dupUfbhqNBolEgmVjPxsAACAASURBVPurHzhwgPc5duxYLjSjbYugiC319Y5E\nIqxPJaJKJJ7SfgqFgu18xN9Jk2y1WjmiLEZV6bzm5ubCarWira0N69evh1KpRHV1da/X5QBOP5SV\nleHmm29GRUUF2tvbMXXqVFRVVSESiWDv3r2oqalBVVUV/vKXv+CWW25BLBbDgw8+iOrqat5GPB7v\nN7FQKpU466yzOFWfyZ5KRH5+PvLz87Ft2zbU19ezBVYmpFIpzJ07F7NmzcLOnTs5ElpdXY0tW7ag\noKAA06dPl0idtFotF33V1dXBZDIhOzsb69atw5IlS7Bw4UIA6YIWl8uFP/7xj5g4cSKWLl0KlUqF\nAwcOIBwO4+abb5ZYMLndboRCIUm3qqVLl2LSpEm46KKLcODAAcTjcVx88cVobGzEp59+CpPJhLy8\nPBw4cIA1q42NjRLNqsPhYIkQICWTciL7xRdf9Pp9UJFWYWEhz5liFDs3N7dbsgqA6xgGWqb2D3v2\n7IFSqZRkHzOB2m2fe+653La3tLT0tJIBnDKyCqTTNWvWrMGwYcMklcmUDiBvz5MB8g+Nx+NdWpF2\nB4fDAZfLJSE43UV/KSqZCUQIxUglQYxEUncisVFCW1ubJKpAUTKKFgJpUkndu7RaLYxGI6+8iHTZ\n7XYupqFOKNnZ2fB6vVwMlkgkJIVRZrOZtcXUUIG+N2qJCmROfRMJ7ejo4Kg6kU0iUA6Hg6v74/F4\nF1sx2hdFgx0OBwKBQBd5BhFUAJIJk25wg8EAjUbDx0qv0Wfa29vZxoq0wVToBGSWqZjNZuTk5PB7\n5G1hgU5iTNdGKpXqMtlv2bJFYmhO59RoNMLj8cBqtaKuro7PMW0zOzubzyWQflgTibXZbEzmi4qK\nuAEHNeWgiDplEeg6omLH9vZ2tLe3IxAIIC8vDxMmTPhWp9y+zSgsLGQDetJ779ixAyaTCWq1Go2N\njaiqqsJ1112Ha6+9tkuzFUKmB20sFsPdd9+NNWvW4Mwzz8Qf/vAHibTJYrFg+PDhqKmp6bGuQbw2\nx4wZw9ZyPp8PHR0dGD16dBfNrEKhwNy5czF37lwAwOeff46RI0fiRz/6EQBg06ZNbJ0nejfPnz8f\nb731FlQqFZ555hlceumlvAgl1NbWorm5mS27KDqq0Wjwm9/8BsuXL8fo0aPxz3/+EzqdTtKqlhCP\nx/Hkk09ygOXVV1+VaFZJ8iRqVsUIHBXXEjkU6wbEKv3+gorb5DK3mpqaHj/XXetqABg+fDgaGhok\nLdmPF6eTfVVfsxIGgwHBYBBGoxHf+c53TrvgwinRrIrwer348ssvsXnzZlgsFlgsFkmUrqeLWkRf\nKunlIKLZH09VIkLyoqL+IJXq7Awlb1RASCaTLKxvb2/nDlZA+sbLysqCw+FAVlaWxAOzJ4gtTkVk\nOseZimfk+6DGBkRCSfMpb4FKx0ygCZeio2JUMx6P8/GJx0Wf1+v1rDsmMg90FpIBndWqom2OeI7J\nBF9+bOROQFHT7OxsBINB+P1+HrPT6URBQQEKCwtRWFjIhUvi9vx+P/Ly8jjCSWRanHhFmx6afKhA\nJZlMcnUvLdbERQHQafhP6Tgg/UBKpVLIycnh8+90Ovn7tdvt7F0rdgNzOp18L1CrVWqokEgkcOTI\nEaxatQrl5eWYOHHiAFH9lqOhoYGvD8qeUMFiR0cHazeVSmVGokrFM3I8/PDDWLhwITZt2oQ///nP\neOCBB7q8h6ykemoGI78+yebp6NGjaGxslEQY+wqa49auXYujR4/CYDDgk08+wVtvvQUgfX/edttt\nsFqt3MGKQIVes2bNwjnnnINZs2bBYrHgrbfewscff4xEIoGtW7fi9ttvB5C+Bx977DH+/JlnnonS\n0lKeg4BjS3mLc7K4wA+Hwzj77LNx7rnndvvZ888/H6Wlpd0GdkQCdSxjo+9Mo9GgpqYG7e3tPF/K\no+iZulz2BKqD6Alqtfq0I3MffvghLBYLZs6cedodG3CKI6tAupNHXl4ee15Sgc5nn32G0aNH98ns\nvz/mziJE26TeOmERxBuH2p+KpvvdjU+8Wcj9oLuoLEVXNRoNRy/VajVX7FNUoycQcaHqdyLIYu/q\nZDIpifaRJRTJMChVT+SPLKDo/SLJFYlnLBaTRCzp/SJJFlPucrJMr6VSKQlpFvXCtB/67sVt0DkK\nh8OSYi5xO/LVKbUQNRqNLIcAOq2exLQ8aWRpws/Pz0dzczOCwSAqKys58uNyuVBRUSGpyiXU1tYy\nOZWv+mtra7koiv5O+5JHkR0Oh0S75nQ6+Tt1OBz8d5vNxgs6sZWq2WxGR0cHR7VFyQCQjtyLspAB\nDKC0tBR+vx/r16/Hz372M8RiMQwfPhxPP/00wuEw/vOf/3CluVxvT8gUMSMP0e5+JxgMBrS0tHSx\np5Lj3XffxQcffICKigrcdddd0Gg0+Oijj/Cf//wH8Xgcw4YN6/azsVhMcq/RfC1qX8UiMjqmZDKJ\nH/zgB0ilUli7di2ys7O5ber8+fOhUCjw5JNPYtiwYV3S5EeOHOEip3vuuQc/+MEP8Mc//hFarRZm\nsxnV1dVcjZ+bm8uWhMDxRw5Xr14NlUqFKVOmYNOmTZJaBQBYsWKFZI51Op0IBAL9jshS3YJ8vOJz\nQg5a9BP6wglE9MWn9URFcE8GyOZTJPCZIK/x+PLLL0/refuUk1XqFT9kyBC+GXQ6HXJycrBnzx5U\nVFRw4QtFmWgCJGNqKoAhgtdXEDHuD1kVQR2liEyKxyTHsXTESiaTkuq9trY2OByOXok5VcjTBCB2\ni6Jx0iRD/yeTSXR0dHTxVqVmAwBYH0nHI9phiQVpOp2OvU5Ja0pRFkqrG41G3ieRappUqLAM6Fod\nT40CaGxAp5E16ZDFSZCcAqjpAdBZdCaOXSy2o+IwOofiQ0vuNUqfyc/PR2NjI6fF6P+eTLvJG1Yc\nL/m12u12NDQ0dNHKkl8q/d1sNnPasKioiFvn5ufn8yRvs9lY2kHOEAUFBfxdGgwGxGIx6HQ6juaT\nby8RVVFzOIBvN2jO/v3vf8/3YE1NDVauXIlp06bB4/Hg0KFDKCkpwaxZs7gwj+6dL774QlLsSZg9\ne7akyvt73/texv0PGzYM27dv57qGTFiyZAkuv/xy/v3o0aN49tlncdZZZ+HLL7/M2K1PBBVcEjIR\nwXPPPRfTpk3DmjVrAAD33nsvk0q6Xz766CMYjUb87ne/4znnpptuwuLFi3HRRRfh448/Zp3/tGnT\nWK/v9/vxy1/+Eu+++y6AdHtVo9EIo9HIHfksFgu3yM7OzkYkEpFo5mkx2trampG06PV6zigB6Xlx\n8+bNuOKKK3DkyBFJwwV5QKGtrQ0ajQaVlZXsFEJ+0MXFxaivr4fdbodWq+X5SaFIdx7MFEA4laDn\nxakAXffHQ4YTiYRkYVNUVIS2tjaW0hG0Wq3keTNo0KBjttz8JuCUk1XRU5NAN0ZVVRUcDgeSyST7\nZ4rhbPGCI9LRX8JKbUu7S8f3BLoQMk1kckIpX0US8ZK/VywiEo3re3JGoOgiHQcAiaaMzofFYpHo\nQOlzYuSQIoZUVOZyuTjq5na7oVarEYlE+MFDOldRTwp0EkmKDNP3TJG+UCjEN7JGo5HIKmgRQS1B\naZs6nQ4qlQqhUIg76QQCAdjtdrhcLibBoVCIJ0N6sIrnSYwQ03VDJF58TXRJoMi2KHGgz9E5zc7O\nhsvlYu0qdbLqDqL2laKvw4cPB9BZ+S/KI2if+fn5CAQCyMnJYfLudDr5AZyXl8fnOTs7m9vZit6p\ndH5Ip2o0GpFIJGA0GtHU1IRRo0bBZrNBr9dj//79p5UwfwDHB3lxI0GlUuHVV19l03yHw4H333+f\nSZj44Mz08L755puh1+uxZs0aTJo0CTfeeGPG/ZeWlmLXrl04cOBAl5Q7gVqLEpYvXw4AnAXrC1mR\nV88HAgH2XqU5+5577sGcOXNgMBhQUVGBjz/+mK3xhg8fjng8jqamJskzLpFIoKWlBWPHjsUbb7yB\nf//738jNzYXJZIJSqUQoFMJnn30mqcb3+Xx8f2daAIuNEcjLGYBEOiBHOBzGlClTJAVVkUgEf/vb\n33o9N0B6jrfb7bjkkkvw9NNPw2az4eKLL8bcuXMxZcoUXHrppezHC3Sez6+TqAKZrSqBzrqKEwlx\n7j5R6E7GcuWVVyKVSmHVqlUoKCjAa6+9dkL3+9+GU05Wy8rKsHnzZl4RUuq7tLRUQhbIaF60jRKr\nscXUcX8IK20jFAodczEXWUdRVLG3wjCyA8pEdjs6OnhVr1QqYbFYEAwGeaKiAiU5RHslipSRRRfQ\n2RDheG8cqvInMkrRWCK8wWAQ4XCYvzuz2YxYLIb29nZJAVYikWBtKMkb6HW73c7fN9BZJKVUKtnu\nisijeE5TqVSXiZxIHzkBpFIpie5KJOlykMZTlCoQ8cvOzuYiL7K4oaglPSByc3O5AG7w4MGs5RNb\n58olAslkEgUFBdi7dy9ruMkVAuhsQ0y/e71eSeo/OzubrxWbzcbn0GQyIZlMckTbarVyBzJaCLnd\nbgSDQUyZMoV1YZWVlRgyZEiGK2EA31bk5eXh0KFDuPXWW3HPPfcgEolg9OjRuOKKKzB58mR+n8fj\nweLFi/Hss89i8eLFyM3NxXvvvcd2aZlw3XXX4brrrut1DBaLhYu55FAqlTjjjDMkfxN/DwQCCAQC\nWLVqFaZNm5Zx+2KBJJBe9Op0OraZE183m82IRqMoLy8HkL6v/X4/20FlZWVh8uTJWL9+PYC0Ddag\nQYNgtVqhUCgwZcoU3HnnnWhpaYHZbMZjjz3Gr/dUUd9fZIooyiv/+ysl2LBhAzZv3szPg0WLFmHM\nmDEZt90TFIp0+9Xy8nI0NjZi4sSJWLNmzSntcnWiiSrQlRifjEKviRMn4vLLL8ddd90lqdvoa+H4\nNxWnnKzm5OSgqqqKBex79uzhDkMTJ07sHNj/JyciWRWLb8Rimv4SVkpLBINB3n5fCrZEYkQrYrGX\nuwh5pJUqseUIh8PQaDQS03giFj2lrvx+v4QMxmIxCQEjwiVqLymKSKluSpeTLpNWwOFwmJsi0N+I\nXNI5INcBamhArxMhElfT5L9KkV+FQgGj0ciRUXHcVqsVGo0GbrcbsViMybfP5+NjEQvPUqkUr5Dp\nIUKpNYoax+PxLql9q9WK5uZmmEwmxONxhMNh3he1fKVGAQUFBZLuXQ6HA+3t7QiHw3A6nfB6vcjJ\nyUFbW5tEikHYuXMngM5oaklJCRQKBerq6rB3716Orubl5WH79u2ShQ8do2jNZbPZEAqFUFxczGN2\nOBy8MKE2xnS9UYSdWg7HYjG+tiZOnCgpYFAqlad1KmkA/YfJZMKYMWNQXFyMGTNmYO/evTCbzair\nq4PVapXc6/v372dP1ubmZlx33XV4+umnj3vRPHz4cKxfvx5r1qzBlClToFQqJVX01157LRobG/H+\n+++joqICf/zjHwFIq+Db29uxdOnSjMbz8qJVyvYMGjSoy1ja29sRDAYlLh5Aet5cuXIltFotVqxY\ngcWLF0OhUGDevHn47LPPUF9fj2QyicWLF/PYA4EAXn/9dTz44IO499578fjjj3PraHIaEQlPf8iP\nfM47UXpG+bOyo6MDlZWVKCkpyejDmimCmUql268SOe2tU9Y3FcdCVEkuBqR5A7XUBtLf/5133sku\nFoTTnagCXwNZBSDpp1xcXAwgHeXZtGkTpkyZAq1WC5VKlfECF/8niIQV6L3lqdFoRDgc5n99nQCi\n0SiMRiNH7CiK11NHrL5AnETEYiuyJsqURqHJp7v9xONxBAIBljokEgk+P6KGszt/VTofRE7poSQ2\nDBAlCBqNBoFAQCKOt9vtiEajCAaDUCqVMBqNiEQirF8TU1aZVrmi+b9SqZQI7XU6Haf4LRYLFyqI\nJD0rK4vJNEEk6PS63W6XEOhQKMTRVJJw0Hmi82Gz2eB2uznSTNeQuC+SGqhUKuTm5iIUCnG3KQDs\nyyqvrBXJKS1CVCoVgsEgcnNz2VyboutkVSXKR2jxQ2l/IuVk5eXz+VBdXY3s7Owu530AA5AjOzub\nrxWKpEUiETzwwAP47W9/C5fLhauvvrqLtIoihccbXXI6ncjNzUVLSwuWLVvGiy4R99xzD+655x7J\n3+rq6qBUKjFr1iwolUqsXr06Y6pclAb1BrIhJLS0tKC5uRnDhw/nQsvPPvsMOTk5UCqVWLlyJZLJ\nJEwmU8aGNCqVCmq1GgUFBbjjjjtQXFyMI0eO4OWXX2a3j6NHj3KL5dbWVgwdOhT19fVIJBIoKSlB\nbW0t9Ho9VCoVXC5Xl0CHXq/vUU/fH5jNZtbQW61WPP7443jggQdQWlqKYcOGoa6uTqKvPFV60dMF\nYoEYNYQhpFKpjFZn3wZ8LWRVBE1iWVlZqKqqwtatWzF69Gi2FRIh79okQoy6ilFWOYEAwEU+RqOR\n+833ZlhM7gWU9jWbzcjOzu7Sm76/yEQ2ibBSoQzZxog6VvI/FY9NlFEQISQ9J6WTFYp0tyIijR6P\nB/F4nNPJCkW660pjYyMTHoog0zmllTIRU9EpIDs7WxKlpQIrUaNKkVEgTVjFh4f4vQGQkGrShpGO\nlkATcyrV6Z0qknP5uY1Go5KWrmL0mDxgKe1vNBpZy2uxWLjrVnZ2NlQqFRc2iBPMsGHDsG/fPv4+\n5AsD8fgUCgVLAMToqbjgouPTarW8DXoo2mw2/hu1SaVsAV0vBoOBLcJIFqDVagd0qQM4Joia8uuu\nuw5Dhw7FyJEjsW3bNrS0tODDDz9Ec3MzAOC2225DPB7v1dRfhFggSmhpaUFLSwvKy8sRCoXg9XrZ\neaOnYlZyPNm4cSOmTZuG7373u/jyyy+7VJz3FPmtqanB9u3bMX78eAwZMkQSmX333Xdx1VVXIRKJ\nYMKECfjoo484g7V582YMHz6co17UQvbyyy/Htm3bcPjwYWRnZ+PHP/4xamtr8ctf/hLt7e2wWCwS\nG0fSpIraRVGzKm8V2915IPQ3NU2LYCLcRJYsFgusVit7vXY3jv6SVcoK9aS/PV6cSh9Wg8EgCQD1\nBqrp6A4U4Pu24Wsjq263G4cOHeKbzmQyYdq0aWhvb8fq1auhVqsxYcIExONxXvESqRA1jRTVEmE2\nm3my6+4CsVgs0Gq1nCqlbYvhdupcRdFX0bSYiAAJqsXPif8fK8QIK9C9JiUajbL/Jo2hr+ken8/X\nhfjJIUb56H0Wi4VtNVQqFRMheg+dc7HYiCxM1Go1TCYTuzrQ+SfrLQJNkIFAoMv3TA0QqFiMJnV5\nNCGTmT9FIFOpFKxWK7xeL08kdA1QtydamJAEgfZD0U86bqfTyW1oaez0vkz/i6BK2oKCAuzbtw8W\niwWJRKKLPtfpdEombypEE69HWmhQURURVyqgU6lUsNvt2L17tyTCO4AB9AUdHR3Yu3cv2tvb4fP5\noNPpMGnSJA4yAMDo0aOxbNkybN++HcXFxRg5ciQ2bdqELVu2QKlUchEpSW1E0H3VnSQrPz8fo0aN\nkvxt79692LhxI7dcLisrQ25uLj799FNEo1GeX0iL3tHRgY0bNyIajXKjgZ6KYj755BPMmTOHt/XJ\nJ5/wvQUAP//5z3le3LRpE/72t7/hZz/7GQBg8+bNyMvLk0jZ4vE4HA4HFi1ahObmZpbdPProozx/\n99Ra9kSA5iGbzdarSwK9X97oBEiPsz/FzX2Bw+FAVVUVCgoK8I9//KPPRJfm9L7KHU4VUQX6X2BG\nUjlAOk6tVouf//znuPTSS0/o+L4p+NrIqtfrRUNDA+tHKfVfVVWFnJwcBAIBNDc3Iy8vj8mJWIFO\nxEAehQLAKWcxAkArYSJZ3enyxMpwWn0bDAZJ5bp4AVFnLEot0xj7Q1a7e68YZezOHYAmWurjrdfr\nj1k43tOYHQ4HwuGwZLIi/SR1zpKb71MEQozCUpEBPZTkDyaqOhajlWIRE9mCkF0XHa/D4YDX62Wz\nZ9EiSjwunU4Hi8WCtrY2hMNhOBwO/g4NBgOTWWo3SrIBm83GD1i3243GxkZ2KwDABWT5+fkcARH3\nK0bfxda/fTn3dNxKpZIrcinKAYCjpbS4ErWqCoWCFzn0HapUKowYMaLH/Q1gAHJEIhHU19fztUo+\nziUlJbDb7VxcuG/fPlx11VXYuXMnXnjhBbS3t2P8+PEoLi7mgse8vDwoFArEYjE8/fTTHLm87bbb\noNVqkZuby9rturo6bN++vVs7NZI1xeNxbNy4keeX8vJy+P1+dgxpbGzEeeedxxryH/3oR1iwYAFn\n2jI9ExYuXMjzaUdHB5599lmJ1EBOjOTkauPGjXj44YeRSCTw4IMP8r2YSCRYVjF8+PCMz7CT7Zkp\n9y/tyz5Fv2kAOOecc/DPf/6z2wVGfyvuPR4P1q5dy7+TtV9vyFQrQAXGfTmPp+J89wepVIplYoRX\nX30V8+fP/xpH9fXiayOrZWVl7P8or3bPyclBTk4OEokEmpubEQqFJKl6ior2hFQq1e2qL1PaiCZg\n0eeUUskiWSRbLYr4kuUTwe12S9K+5APa00qut1VeIBBgY3v52Mk4PxwOw26386QhFo8Bnf25U6kU\np8BFM38xNU8/i8Q00+viz5RajkQiHAnP1MHJ7/f3WMzm8XhYwkCfoUInsqChaEAikZCs+IlY0mRK\nQnVR4hGNRvmhKkZKRQ9Y0bOWiDCdu6ysLMkYxApeKrKSHzONlUBEdc+ePdwMgBwD5KSViLvoE0vn\nljS94mu0aCECS5FVItd6vR4TJkz4VgjyB3BiYbfbMWbMGBiNxi5aZ3KyANIp6gMHDuDXv/41G+kX\nFhZi27ZtcDqdks/96le/wksvvQQgTeyKi4tx3333Sd5D7iPdzflTpkzhxWA0GkVNTQ2sVitX6wPp\n7j6vv/46E1UAeOONN/Dyyy9j69ataGxs5Pt1x44d8Hq9XIgpgjIXdM89/vjjWLBgAeLxOEaNGoUF\nCxYASEdZg8Egrr32Ws4wXXTRRXjjjTdgs9nwne98R7Ld+fPnY/fu3WhtbUVJSQkuueQSLFmyhAtZ\nW1tbMWLECBw5cgShUAhjxozBtm3boNfrMXToUOzcuROFhYXcxrmlpYUDLDk5OfwsEAug5M+dTGRN\nTuIqKiqwe/duAGn3k9bWVkydOhXXX3897r//fvaFJohENdMivTeQPv9YICfJ5JOeCV8XUaWFFNUV\niAuIcePG4dJLL8WRI0dw/vnn44c//OHXMsb/FnxtZFWlUvVqkUMRLqCzSpxS7llZWcdkvN/fMcqL\nmCi65vf7YbFYuhXlK5VKiQXRsZBV0qqKY5ATVjm50Wg06Ojo6GIgTGb5QGcan4T94XAYVquVJxIy\nljYYDNDpdNyyk8ZpsViYyFJKn/Sw1JuerKOIsJKVEqVE6CYlX9BQKAS73Q6Px8Pkj6QQALjxAP2N\niJlYpU/nQ55O604rShIGsVEC2ey4XC6OslKHLLIsI0QiEc4IAJ2EuSfQeZRbtIi6WafTiUOHDnE0\nl7ZN5yoajbKemRZ6FouFi0RokUbkPRAI4JxzzjmmRhgDGIAIsTi2O6jVauzevRsffvgh/62hoQFv\nvPEGp8gJX331leT3TZs2ZdxmX+dPrVabMQJrNpu7ECWSxtA9azKZsH79erS1tTE5fvzxx7F582bs\n27cPo0aNwoMPPihx/bj66qtx9tlno6mpCdXV1VAoFNixYwe7mYhSqGAwiIaGhowNEiZPnowXX3wR\nJSUlKC0txdixY7v4a4q/19fX8xjIZaQ7zWhbWxs7C/QXchJHRBXo1BEDaV2tGAXMhGPRoJ7IdL3f\n7z8p3qo9obeILT1HE4kEpk6diu3bt+Po0aOoqqrCH/7whwEbQQEnl+0dJ0jjRERl165dvHo/VisU\nUYPZG7qLANJ4MlVXinpNqtQWu7nI0dNYQqEQwuEwG+nLI8XdfZYIl2jeTySbLFnofUS0yH2AIpjy\n1+12O0eXyROWCGNPMgbShVG0D0g/OLrr+iUSKq/Xy/o2+i5E8kh+reLYdTod1Go1OzbQZ0TfUgJp\nTrVaLUcaKZJJE1pWVhZSqU4/V5IzFBcXS7bldDo5AprpfGTSINH+SkpKsG/fPgBd04g0RrIwoc+L\n139JSQlrcEkWo9FooNVq0dDQgDPPPHOAqA7glGHChAn4zne+0yUqmemhPX36dMnv8ogjgIzFtplA\nRU2Z2rZWVVVh4sSJ7LOq1+s5okv30oEDB9DW1obCwkLk5ORArVajvLwce/bsgdvtxo4dO1BQUNBl\nLGVlZZg0aRIMBgOOHj2Kw4cPQ6FQYPz48RLrq4KCAgwdOhRAOnq7bNkyztA4HA6o1Wo0NjbizTff\n7NYIXjzWvuJU6DMPHz58QqKTFoulx4Y4x4tTSVSB9DU/duzYPr132bJlUCqVeOqpp7By5coBoirD\n1+4G0BNqamowaNAgaDQamM1mhEIhrF27FlVVVQgGgz12oZKbyItFMf15cIvEI5VKwefzMeEVyayY\n8qffge5ttFKpFJNJhUKRsfNRMpmEWq3uUyUtpbrF9qAnsuKxt8iGmFKnSCWlquWfF78zsTBJHDeR\nQ7ERBKXfMlmX9dTijgrkAHB0XqfT8d/F60QspKLoJUEsetPpdDCZTPD5fF2K/ESS3B1JJfRFK0Xn\nhyQX5OxAqT2Px8PVumazmY8vkUigqKhogKgO4JShoaEBkUgE5eXlePPNN3HFFVcgEAhg9uzZGDZs\nGGpra2E0GnmRe8MNNyAej2Pz5s2YNGkS5s2bh5aWFr7PY7EY6uvreyUwqVQK8+bNw9tvvw0A+NnP\nfoannnoKALB161Z4vV6YTCbcc889ePPNN5GVlQW9Xo99+/ZJPE+B9MJTTD8rFApedG/YsIHrJz79\n9NMu44hGo1CpVNw69vPPP8cTTzyBRCKBO+64Ay6XC++88w6efPJJpFIpDBo0COvWrePMkE6ny9gE\n5mSgoqICc+bMwZtvvilxFzgWLihzxQAAIABJREFUyJ81BoOBZVv9scwqKytDeXk51qxZ08Wxoa/Q\n6/UoKCiA1+uFzWZDQUEB1q1b1+37j0We0B/05zjq6+vxyiuvdMlADOC/nKweOHAAtbW1GD9+PAoK\nCjBhwgQsX74cu3fvxqRJkwB0FYkT5GbVIvozGciLdIgIEEEjQ3y3280RMOrB3FNVJxXkaLXabiOT\n0WgU8XhcYoJvsVgkUoBMJIjSwVarlScKURZA2xNT4Jl0qNR7GpDecJneS4RRnJzEAirxXIjFT/Q+\n2hZNGjk5ObxfseKfPiem7qnQg/4ei8UkUU+x6Ey01BL9U6lNq06nQyQSQUFBAcLhMLKystDU1MS+\njtRgQH7e5dX7NFZa2HRXJJCJzMtB1woAboVLhNVsNvNnjUYjSwNoDCNHjux2uwMYwIkGubwEg0Gc\ne+658Hg8WLJkCbuA1NTUAJAGAcaNG4dx48ZBoVBIZAAkYwHSRUgtLS247bbbcOjQIcydOxd33HEH\nv3fjxo1MVAHgT3/6E+644w6UlpaisbERZrMZFosFTU1N3BVw5cqVCIVCMJlMKC0thUajwcKFCzF3\n7lzE43HccMMNXSK9bW1tHAXVarU4evQotFotz1ft7e3cfICO4ZFHHoHBYIBWq4Xb7cZrr73G9+zB\ngwfx+uuv4+yzz5aQ3M8++wzvvPMOF7H6fD5uAhIOhzFkyBAcOHAAGo0GBQUFbIOlVCrR1taGoqIi\n1NfXIxqNorKyEocPH4ZarUZZWRlqa2thNpvR3NyMP/zhDygoKOB5hYp6qMitubmZnVzkARWdTscF\nTPL5S3z2ktwMQI/OM0C6gYqoKz4WhMNhtvvyeDw4dOhQj4T0ZBJVQNoOl3DjjTdi48aNqKurQygU\nkpyXniw0v834ryarM2bMwOeffw6/34+CggLo9XqceeaZ2L59O/R6PVdUihOf2+3mdKiclFJUtD+g\ndqKiXQn97HK5uO0mkE4ZdxdJE42kxYIZ6jaUCYFAgP1VqTre5/NxZCLTJAGkCRCNiUBp8lQqBZPJ\nxA0DVCoV74MKjEiHGovFWJROfeY7Ojpgs9k4ikzb0mg0MJlMcLvdyMrKQiQSQSKRQFZWFssZRKsU\nigRT2pyiGnQuXC4Xj1duB2a1WuHz+ST6I5EUZ2VlSQqrqF2iCPlCgj5PRFuuPy0oKIBarYbX62Vv\nWuosQpO5OH4xqjp06FBO84ug1yly2t11QNeL2NVNLJgj43/S2ZHVjM/nw4QJEzJucwADOBkYOXIk\n3G43318qlQqzZ8/G6tWrMWbMGDgcDrS0tGD79u3c9Wj9+vWs2fP7/Vi1ahXy8vIwYcIE7NmzB7W1\ntXA6nTjvvPPw8ccfA0iT0/Lycol8R45Dhw7xIrSkpATl5eVYu3YtWltbMWzYMITDYYwaNYoLsVpb\nW/GnP/2JF4bPPfccrrnmGlRUVEhqD4qLi1FSUoIf/ehHWLRoERQKBZ544gncddddaG9vx6pVq7jd\n67Zt27B69Wo+N8FgsEuhmMFgkLh7tLe3s/UW0En8xDlk27ZtPCYKGMgDAgRRFkH1AOJ7xYW0qEml\n93o8nozntzfiSRAX22IdQl9xIir1i4uLT2kr155gs9nw/vvvsxcxAEl9xw033PB1De2/Gv/VZNVo\nNOL888+X/C03NxdOp5OthgCptpTSRZnS79SWtD8gQkEV6SKBIY9SMcqXSZaQSqUkpvgifD4fp5gy\n7Vu0HiICSib9dEx9ARUSKBQK6PV6Ph7R3os8UinaK6bIKZIn/1ks5ukJpH/VaDRcKEXWUTRZ0hiJ\nmFFqX7QDo6YAQOeioaOjg0kmRTxEqNVqtLa28hizs7N5EWK1WuH3+yX+jqWlpWwmLlb3A53yDiKr\n5O0HdOpdCT0V11VWVvLkSRW64oQsJ+ji6xS9F1+n616pVHJKb/DgwZm+igEM4KRBoVB00aEaDAYM\nHz4c+/btg8FgwIwZM+B2u2E0GrFkyRKJF+pZZ53F0ddHHnkEN910E5M0eUvOHTt28GJs4sSJWLBg\nAV599VUAwNy5c+H3+7FlyxYAaeJFUciamhqsX7+emw/s378fn376KYxGYxfN+OrVq5m0EbZv346D\nBw9i0aJFANL39z333IMbbriB50PyMab/P/roIxw4cADRaBT33nsvfvWrXyEQCGDGjBm4/vrrsWXL\nFv7s2rVre03Ln0qfUODEVcuLz9++ytROxL73799/3Ns4EVAoFPD5fF38bc8880ycccYZGDJkCH7x\ni198TaP778Z/dYFVXV1dRh1iUVGRJO1KBSVUCd/dxU0Rqr6uCIFOj1an08ktB4kg0ORG+8tEHCly\naDAY4HQ6Jf9oRd3dWMk2qztQEU1fIZ8c5AUQctDrvRFi0gITYaRINJBefVMUkNqg0mdEyC2aDAYD\n+4SKOuBkMimp9g8EApJzmEgkOEpLiwgal7iAIZJJ549amtpsNkkjhng8zoSW5AtUzUtEVrQqo2gn\nSQZsNhuam5szWlJVVlZyxFveZxwAy0pEJwigUzpgNps5GkPRdPJbBdLR4AEM4FSipaUlo/ypsLAQ\nbW1tePLJJ5n8hUIhPProo2xN+Pe//52JKgA8/PDDfA/v2rULs2fP5teUSiVmzpwp2ccrr7yCPXv2\nYOfOnbjmmmtw4YUX4oILLsCSJUvY5/W1116TLEKbm5sxduxY3HjjjbjqqqskbgfDhw/H7bffjgsv\nvJD/0T7lzxCaA3sqjEqlUrDb7Zg3bx6am5tx5MgRrFy5UqIpj0ajyM/P7/kkn2CI8/uJctgR59Hu\nYLFYuiyoqcj2eMZhMBiQm5uLqVOn8hxIcyYFPAiii82pQHfP82nTpuGCCy7AxRdffErG8U3Ef3Vk\ndfv27WhsbGR9KqG3zhvd2UlRb+ZgMNgnn0mKAvb0OqVe5fpYugF6E5dT4ZA4YZA9VyYiSzcdaXJF\nHZFOp2OiJpcjxGIxPhZ6mFBxENC9zyrdxH6/v8f3isVUYjcqsUkA7Vc8L1Ss0F1r3UxyCtLskoUV\nHWt7e3uXgqlMIEsxKmyjyDd57Ho8Hn4Y0d9ovwqFAjabjbdBkgj6/kibp9FooFarJY0NgLSAvqSk\nhFP6YjSWyGlbWxsGDx7Mfr6iewOBmh8AnW1W6ZwlEglMnDix24j9AAZwsrBt2zZEIhFceOGFXa5X\nuk5F6HQ6LhaUy7YMBgMKCgpQX1+PgwcP4rnnnsOwYcNw6NAhXH755Zg+fTqWLFki+UxFRQWCwSDr\nBDdv3oznnnuOX3/ooYfwwQcfwOl0wu1247333pOQa6VSif/93/+FUqnEWWedBZ1Oh6VLl2Lp0qUY\nMWIErr76avy/9s48PKry7P/f2fc9y2QPSQiEfRcEREWQRWyVt2C1tWq1auvPtmordrFYbW217att\nbe2mvtaqRVq1AqIWEQFZlMhOgCRAAiEh62zJ7PP7Y6775pzJQsIWAs/nurhIJjNznjmZPPM99/K9\ngeRI5WuvvZbLEr7zne/g4MGDnaKwRDQaxaBBg5CRkSEzvafIL5A0fX/zzTdhsVgwe/ZsbNy4kS8+\naWRtW1sbXzA3NjbyXuP1euFyubjkKj09ndP3drsdjY2NMJvNUKvVaGlpgc1mg9lshlarhd/vx/Hj\nx+FyuRAOh9He3g6Hw4GmpqY+T18iJk2ahK997WuorKzEpk2bZGUNlNanAT1SaP8+3WgqDRnq6OjA\niRMnZF7jwMk+Aun30v/7A5VKBZfLhaFDhwoHgB64oMVqcXExqqqqOhnckxjtiw0VAI6k9SWyeioc\nDgfXcqai0+l41jwVoktFmdFoREdHB9sTUZ1nMBjkNHjq66M/YmpmUqlUHAElA/uuaozIdJjqQ+n7\ntrY2TilTRDS1dtVisUCn06GpqYlrhem+VBNKHqkGgwF6vR4tLS0sqKTrktaPqlQqxGIxfq3UVU9+\nrKk1q7TJUXcujW+1WCwIh8Pwer3IzMyE1+vtUrBqNBoYjUb2S6XnJj9V4KRgDIVCsFqtvIlRfWwi\nkeC6aKprlV7QUB0rIf1ZaWkppzRpfbRZk2iVXhDk5OTwRZk0wkzHlK6ZLr7q6+sxfvx4ZGZmdnr9\nAsG5ZsKECdi4cSOOHTvWaYa5Wq3G/fffj/Xr16OyshJutxtPPvkkmpqaoFQqsWjRIixbtgxvv/02\nDAYD/vrXv3IGoqmpCRqNBj/84Q/7tJ6uyr6GDx+OQYMGYdWqVZ08T7OzszFx4kTo9XokEgm88cYb\nWLx4Mf/t1dTUYObMmWhpacE777yDFStWcL24z+dDXl4eOwns3LkTmzZtYusit9vN46OvuOIKWVTv\n6aefxr///W8A4JHjFosFJ06cQEdHB3Jzc2WG+7THSJuDuqtZpSiytLG1q+j30aNH+WtpkOF0aG5u\nxiOPPNKl96pUiKYGc3oKDmVmZqK5ublH28rUz/Zz3Tx1ukjrcGOxGMrLy/H973+/n1d1YXNBlwEM\nGTKky1F09CF9qhnKNIGKutrb2toQCoV6Xed5plBXNqWFuxqxSRHC9vZ2BAIBhEIhaDQatqvqbS2o\ntCa1K6SetYC8tlOr1fIFAJU9SFPkZDRP4+voWBQV6UpUd4e0M1S6MdHzSksPpFe9JCypVIDcDUik\n0h8+DUSQrocEn8lkYlFM1jkUzXG73fw6SbxKn4O+ltaKkisAiUyaFgVA5gtLj6UpOdINvLa2FqWl\npVy3K73CJ7sdo9EIq9UKk8nEqX/6J206O3HiBM/VFgj6A4fDgVGjRnVZYtTa2oqjR49iz549qKqq\nQnV1NUaOHAng5D72+uuvo6KiAjt37sSIESOwZcsWjkR2lzHriUmTJuHGG2/k77/xjW/IvE/vvPNO\nLFiwAEqlEoMHD8Zf//pXvggPhUJ49dVXZX+TJHC9Xi98Ph/b2Ol0OsyaNYudYNasWYMJEybgnnvu\nwZQpU7BhwwbZusiKsbGxkXsIpFBkkJAKydPlfEYPy8vLTzkkoK80NDSc0l/9QhqZ2hOpwYRhw4b1\n00oGDhd0ZFWpVLKJshSFQoEtW7YASJpKBwIBFns1NTUsqmhUndFohF6v5zrRvvrY9cbjrysoSkfC\nJRwOo6Ojg2uUAoGArIZWqVR2Od0klfb29lPWA/WFcDjcpw+CntLssViMXw+lkqheNZFIsIF/PB6H\nw+FAc3MzT4eKRCIcEaBzJx0pSiKaGiMUipNTrKRjZglpNJLSXdJBAHSRAIAnhdG4VovFws8tnbwl\nrSOWRkJLSkpQWVnJP6MLIhKz9PPS0lIcOHCAN3JpPergwYM5KkMiN/W9Jf0+Ho+zJU4oFOqyBkwg\nON/k5+d3eTtlQ8h9pL6+nhsdjx8/jrq6Oh5+Qft0KBSC2+0+7Q9zhUKB5cuXY8uWLdBoNBg/fjz/\nLJFIQK/X4z//+Y8s66XRaLB//34oFIpOF36FhYX8N0o2W9deey1aWlp4j1MoFPjb3/7Ge1I8Hsd7\n772HRx55hJ/nueeew/333494PI6bb74ZX/jCFzBo0CAuX5g2bRo++eQTFl/ne/LSxUh3DV1nw22g\nt8cvKCjAhAkTMG/ePDzzzDPYv38/5s6dK6KqveCCFqs9MWXKFGzatAnl5eWy6NOYMWNgt9thNBpl\nqfBIJIIPPvigU1E+kWoDIsVgMMi6wruzp5Kmk1OfV6vVIhaLIRAIQKFQsPWTNAXeG+j5I5EI1zx2\nRWodbCQSkUWiQ6EQP/5UfquBQIBFIN0/kUh0681KYtXv97NYo2On1qdSZJbKPOg4qYKQ6kql50Da\nwS/1q6XNJ/X3Q1fler2ej0Nile4r/R1KfQRpfWq1Gh6PB0qlEvn5+RzxSI3yp25+ZFNiMBhYsALJ\n2rfUc0ivQZr2J39f+p6a9qizdNCgQcKmSnBBM3nyZLz77rvYunWrLDswYsQInlyUetF84sQJ5OXl\n9RhgWL16dadMDAAe90oCUqFQYNWqVbL7NTc3s90bQRemer0eX/3qV9HY2Ig9e/YgPT0dN998M7Ra\nLWe+jh8/jsWLF2PZsmUwGo345S9/iSFDhrDvKmG1WtnCKhQK4dvf/jbvEa+++irKysrw61//mutF\n4/E4li9fjuXLl0Oj0eBb3/oW/v3vf+PIkSPIzMyEz+dDR0cHCgsL2UM1MzMTx44dg8vlQiKRQGtr\nKwoLC1FXV4dwOIycnBxUVVVBpVJh6tSp8Pv92Lt3b5cZSpfLJbMPTKW3nfxngkKhwJQpU3Dw4MHT\nGhc7atQomYNEd+s9X9HYRCKBw4cPo62tDfPmzcPf/vY3lJSU9GrojwBQJPqzsvgM6UvNaiKRQEVF\nBWpqapCfn4/BgwfLRFMwGEQgEODUvbQekI5DNkpd/fxUJQk6nQ5msxnNzc3Q6/UcXSCR5ff7EYlE\nZE0xbW1tUCqVnVJqJKAoukhNQDTBioz0KWLp8/n4Q0ClUnHa3Gg0wuPx8NxsqtMkIWcymdivVKPR\ncP1qKBSC3++HyWTi124ymdDR0cECmepYjx49yjWmPp+PJ7zEYjG2y1IoFHA6ndzsRG9JOk8qlYqF\npnRt0rpWu92O2tpa6PV6FrBOp5MjFVSyQGujNcTjcVgsFh4cEA6HUVBQgObmZtjtdm5GkDbCSVN2\nXq+X1xQIBNhGy+fzIRAIcAmCz+fj90hqtIZKABwOB/Ly8tDU1ASbzcYf5rQ+o9EIs9mM7OxsLsuI\nxWKYPHmyaKYSDAj62mdw9OhR7Nu3D06nE6WlpTxum1ixYgXKyso4YyPNvtCeRxfiKpWKXT9UKpVs\nqlFXQQadToeZM2fivffeQ05ODmpqajB48GC888470Ol0WLBgAZ5//nn88pe/5MdZrVYsX74c48eP\nx4033oj169dj3LhxeO211+ByuVBbW4vKykosXLhQdrznnnsOxcXFuPbaawEAr7zyCu6//35uoHW7\n3bKpWmcKZWR6alQmaK88HYE6dOhQRCKRM7aO6mv0k9aak5NzytG1/cGSJUvw85//vE9/C5c6Azay\nCpy6njP1vmVlZSgsLERlZSXWrFmDqVOnwmAwyJ6nu9GUkUikW5soioqmpaV1+fOWlhZZXSdt2L1x\nJOgKaWlBd1e9qdhsNq6xAsCep/R89D9t+pSyl94OgNPnQDJdRtFOck6gDwaFIjmOlprIAMgKyilC\n29UmRBsNjUOV1imZTCYEg0FOiVmtVvj9fu6SlUaoaS0UOaEaT5/PB6vVioaGBn6t0kks9JqoszcW\ni8FgMKC9vZ2bxiKRCF/suFwunvAlFdt0xUwfCFQKQMMKgJNCtaSkBI2NjZ18Xek56Vhms5l/F3T+\n6GJFILjQ6euHc25uLtxuNw4fPoxNmzYhPT0dpaWlsobbgoKCLsuYnn76aaxcuRJlZWV46qmnOgld\npVKJMWPGsBeqlM8++wyBQIB9nak+ftGiRRyte+GFFzBt2jTZ42ivczqd+Oijjzo11TY2NsJgMGDJ\nkiX4xS9+AQCYMWMGpk+fLjPnr6iokDm9nE2hSuvsbae/0+nErFmz8Oqrr/Z4PxK1ADB37lxkZmbC\naDTipZdeOtPl9lqoppZPXIhCFUhefAih2jcGtFg9HQwGA0aOHIni4mIcPHgQDQ0NmDp1aq/eON1F\nBfr6pjubb9KunutUV78qlarTH7/ZbIbH42Hbqd6s0ev1snAlCy8SYYlEgq2kqIMeOGktQl38VKdK\nJQPU+ERRZoq2UhQWSEZcqROf6n67ipqmdprq9XpeE0WAqeOfRtsCJ2uJ1Wo1dDod9Ho9/ywUCiEz\nMxNHjx6FXq+Hz+eTdaAmEgkYDAYW2wTVo5FglVJSUiKbZmKz2WQCnSL6drsdLpdLdqyrrrrqvHkE\nCgT9gVqtRklJCQoKCnDo0CFs2LABWVlZshKaVF588UWuA1y3bh0CgQBefvnlTvc71V5ZW1sLn8+H\n9PR0HD58WJZW3r59O26++WYMHTqU/WHvvPNO2d7ZlSWfQqHAk08+yYMLKNUtfVx2drZM/EkvcM81\nFFihYzc2NuJf//qX7D5UQ5va1U6sXr36vNtBKZXKTo1sFwr0mRONRjF//nx885vf7O8lDTguObFK\nGI1GjB49Gn6/H/v372cz6O6E2umMieuOVK+3rkg1mO/pOSjKSFFBqbcqiSeqP5KWK9DXFBUkZwJ6\nLNVQStPedBttVhQ5lTZ90QZGI1gTiQQLVGqaoC7+1O55el3SqVAqlQpmsxmhUIhFK1lQEdLItcFg\nQCAQkNm3ACc9XelrIFkeEA6HWXi6XC4YDAa0trYiLS0NPp+P02X04UGPDYfDSEtLQ2NjI59zm83G\nx5WOGJRGTKWClRoIFQoFCgsL+fxS3bXRaORyAKpbJXE8ceLE047OCwQDDY1Gg9LSUhQWFqKqqgof\nf/wxgK4bRMvLy3v8Hjg5Atvj8eD//b//h3379mH+/Pn4yU9+gng8jp/85CdYt24dVCoVfvjDH6Kw\nsFA2FlOr1SIrKwtbtmzBRx99BIfDAaPRiObmZvZhpswN/aOhNU1NTcjNzUUikUBDQwOqq6vx1ltv\nYfv27Zg0aRJ27NiBBQsWYN26dUgkEpg9ezY2b96M1tZWZGdn854zdOhQ1NTUQKVSoa2tDcFgEEVF\nRYjH4/B4PBg2bBiOHTuGSCSCOXPmYPPmzTJv166Q2iPS16mWUNdccw2GDh2KF154gT8/pHT3+Xa6\njWK9+fw9G7Wn56oWl1xs/vnPf2LRokVn/fkvBS5ZsUqYzWaMGzcOra2t2LNnD8rKymA0GrsVAV2J\n2d68uaX3OVXUUhqJjMViXdYVSUcDkuikjnd6DhJNNAWJGpkCgQCLKp1Ox7WrFNUMhUKy1Bd5isbj\ncZjNZni9Xt50qG5SmlZyOBxsaE/lBlKzZ+nEJ4rG0pQo8lmNRqMs3Oh8ScsOSJzS66CmLwCyc6DV\namG1WuH1evk1UQSXPG4BeWMXnTd6PRSNJYcCEtIUgaXXQudW2hhFvyv6HTY2NiIzM5NFqkaj4SYt\n+oCTvl9S3ys0ZthmsyEjI6PH95FAcDGi1WpRVlaGoqIi7NixAx9//DGKiopQVFTEovXKK6/E73//\ne37MlVde2el5yBXk3nvvxWuvvQYgmf7Pzs6G3+/HunXrACT34CeffBJvvPEGXnjhBTz88MNQKpX4\n6U9/CofDAavViuuvvx7vv/8+1qxZg3feeQdGoxFf+9rXOqV76e+a3GyAZLDg/vvv5z2/q9KoZcuW\n8dfSGfdUdysVWQcOHODHu1wupKWlQaVSYevWrdi7d6/seUeMGIGamppOF/ZAZ/E3duxYVFZWwufz\n4f3338eqVas6PaYnzsTRoK+Bory8PGRnZ8vOs8Vi4c9Kt9uNaDTaqezqXEaD4/F4t6WCglNzyYtV\nwuFwYNq0aWhubsa2bdsQj8cxdOhQ2ZuLru762iQgRaFQcDpHmjaR+nUSVqsVWq1WZn5P0B+v3W7n\nDVqa9qbpWvQvGAxCp9Px42i+vLQpikQYNTw1NzdzvSqJXfqajun3+2G1WmXR3Wg0CpPJxLWktJEa\nDAZu/orFYtDr9Zzeotcv7cbX6/U8Baq7TvmWlpYur4alt9EGZbFYEI1G2b/U5/PxFS81WpF/K0WE\n6bVKo8YkbDMzM9kL0WazyaaH0QCCRCLB97dYLEhLS+OmL4J8H6mZS0qqeAWSIlpqwSMQXIrodDpM\nmjQJgUAA+/fvx9q1a1FaWoq8vDwsXLgQr7zyClatWoWhQ4diyZIlnR5PF6C7du2S3b5r1y7Z2FXg\nZFPrDTfcwL6tHo8Hn3/+Of99Hzp0CD/72c/4Avjw4cOdvEY/+OAD5OTksBVXPB7HI488Ipt8dToR\nwlRLOyJVnKaye/fubn+Wl5cHj8fDQlYakU31Ox00aBBsNhu2b98uu53sI9va2joJVfLrJpsyaSnU\nmeLz+TqVW0mjw2e7Brg35OXlCceWM0CI1RRcLhemTp2K+vp67NmzB3q9HuPHj2dxRoKVRqL2Vbj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7q6GkuWLIHf78e4ceMwZ84c/PznP+/2+BQAUKlUyMrKQl1dHe+nhDTi2FvID/tUOBwOmM1m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\nd87DETPEuwAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x10a3b2890>"
]
}
],
"prompt_number": 49
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Note how trying to plot the points in this case is not very useful as one quickly gets a big black blob in the NE part of the country. In this context, the use of a kernel proves very useful."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from IPython.display import HTML\n",
"license = \"\"\"\n",
"<a rel=\"license\" href=\"http://creativecommons.org/licenses/by/4.0/\"><img\n",
"alt=\"Creative Commons License\" style=\"border-width:0\"\n",
"src=\"http://i.creativecommons.org/l/by/4.0/88x31.png\" /></a><br />This work is\n",
"licensed under a <a rel=\"license\"\n",
"href=\"http://creativecommons.org/licenses/by/4.0/\">Creative Commons\n",
"Attribution 4.0 International License</a>\n",
"\"\"\"\n",
"HTML(license)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"\n",
"<a rel=\"license\" href=\"http://creativecommons.org/licenses/by/4.0/\"><img\n",
"alt=\"Creative Commons License\" style=\"border-width:0\"\n",
"src=\"http://i.creativecommons.org/l/by/4.0/88x31.png\" /></a><br />This work is\n",
"licensed under a <a rel=\"license\"\n",
"href=\"http://creativecommons.org/licenses/by/4.0/\">Creative Commons\n",
"Attribution 4.0 International License</a>\n"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 2,
"text": [
"<IPython.core.display.HTML at 0x105221590>"
]
}
],
"prompt_number": 2
}
],
"metadata": {}
}
]
}
'''
Generate grid of points within a PySAL geometry
Author: Dani Arribas-Bel <@darribas>
Copyright (c) 2014, Dani Arribas-Bel
All rights reserved.
LICENSE
-------
Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions are met:
* Redistributions of source code must retain the above copyright notice, this
list of conditions and the following disclaimer.
* Redistributions in binary form must reproduce the above copyright
notice, this list of conditions and the following disclaimer in the
documentation and/or other materials provided with the distribution.
* The name of the author may not be used to endorse or
promote products derived from this software without specific prior written
permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND
CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES,
INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR
CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF
USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
AND
ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING
IN
ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
POSSIBILITY OF SUCH DAMAGE.
'''
import time
import pysal as ps
import numpy as np
import matplotlib.pyplot as plt
from sklearn.neighbors import KernelDensity
from sklearn.grid_search import GridSearchCV
try:
from pyGDsandbox.geo_tools import pip_xy_shp_multi
except:
print ("\nWARNING: pyGDsandbox is not available.") \
("Functionality to clip the grid based on a shapefile will fail\n")
def kde_map(xys, ax=None, cmap=plt.cm.YlOrRd, alpha=1, **kwds):
'''
Quickly create a KDE map from a set of point coordinates
...
Arguments
---------
xys : ndarray
Nx2 array with the original XY locations
ax : matplotlib.axes.AxesSubplot
[Optional. Default=None]
cmap : plt.cmap
[Optional. Default: plt.cm.YlOrRd] Matplotlib colormap
alpha : float
[Optional. Default: 1] Transparency for the surface map
**kwds : dictionary
Additional arguments to be passed to `kde_grid`
'''
# KDE computation
xyz, gdim = kde_grid(xys, **kwds)
x = xyz[:, 0].reshape(gdim)
y = xyz[:, 1].reshape(gdim)
z = xyz[:, 2].reshape(gdim)
levels = np.linspace(0, z.max(), 25)
# Plotting
display=False
if not ax:
f, ax = plt.subplots(1)
display = True
ax.contourf(x, y, z, levels=levels, cmap=cmap, alpha=alpha)
if display:
plt.show()
return ax
def kde_grid(xys, bw=None, shp_link=None, spaced=0.01, ax=None, est=None,
verbose=False):
'''
Generate a KDE map of `xys`, potentially within the boundaries of `shp_link`.
...
Arguments
---------
xys : ndarray
Nx2 array with the original XY locations
bw : float
[Optional, default: None] Bandwith for the kernel. If left
blank, it is chosen by cross-validation as shown in the
following blog post:
http://jakevdp.github.io/blog/2013/12/01/kernel-density-estimation/
shp_link : str
[Optional, default: None] Path to shapefile to use for
clipping the grid. If nothing is passed a grid on the
dimensions of the bounding box of the points is used.
spaced : float
[Optional, default: 0.01] Share in the range [0, 1] that
should be left between points on each axis
ax : matplotlib axis object
[Optional, default: None] If passed, the map is embedded into `ax`,
otherwise a brand new figure is created
est : KernelDensity
[Optional, default: None] Kernel density estimator in
scikit-learn. If none is passed, it initializes a new one
with the following parameters:
* metric='euclidean'
* kernel='gaussian'
* algorithm='ball_tree'
verbose : Boolean
[Optional. Default=False] Switch to turn on info printouts
Returns
-------
kde : ndarray
Nx3 array with the XY locations on the clipped grid and
their estimated density
gdim : tuple
Dimensions of the grid
'''
# Fitting
if not est:
kde = KernelDensity(metric='euclidean',
kernel='gaussian', algorithm='ball_tree')
if not bw:
ti = time.time()
gs = GridSearchCV(kde, \
{'bandwidth': np.linspace(0.1, 1.0, 30)}, \
cv=3)
cv = gs.fit(xys)
bw = cv.best_params_['bandwidth']
tf = time.time()
if verbose:
print ("Finding optimal bandwith (%i-fold cross-validation): ")%cv.cv, \
("%.2f secs")%(tf-ti)
kde.bandwidth = bw
_ = kde.fit(xys)
# Grid
t0 = time.time()
if shp_link:
gXY, gdim = grid_clipped(shp_link, spaced)
zi = np.where(gXY[:, 2] == 1)
zXY = gXY[zi, :2]
else:
minX, minY = xys.min(axis=0)
maxX, maxY = xys.max(axis=0)
bbox = [minX, minY, maxX, maxY]
gXY, gdim = grid_full(bbox, spaced)
zi = np.arange(gXY.shape[0])
zXY = gXY
t1 = time.time()
if verbose:
print "Creating grid: %.2f secs"%(t1-t0)
# Evaluate
z = np.exp(kde.score_samples(zXY))
t2 = time.time()
if verbose:
print "Evaluating kernel in grid points: %.2f secs"%(t2-t1)
# Plug into grid
zg = -9999 + np.zeros(gXY.shape[0])
zg[zi] = z
xyz = np.hstack((gXY[:, :2], zg[:, None]))
return xyz, gdim
def grid_full(bbox, spaced):
'''
Generate a grid of points on the bounding box of `bbox`
...
Arguments
---------
bbox : list
Bounding box for the grid in a sequence of minX, minY,
maxX, maxY
spaced : float
Share in the range [0, 1] that should be left between
points on each axis
Returns
-------
xys : ndarray
Nx2 array with XY coordinates of the entire grid
gdim : tuple
Dimensions of the grid
'''
difX = (bbox[2] - bbox[0]) * spaced
xs = np.arange(bbox[0], bbox[2]+difX, difX)
difY = (bbox[3] - bbox[1]) * spaced
ys = np.arange(bbox[1], bbox[3]+difY, difY)
X, Y = np.meshgrid(xs, ys)
xys = np.vstack((X.ravel(), Y.ravel())).T
return xys, X.shape
def grid_clipped(shp_link, spaced):
'''
Generate a grid of points on the bounding box of `shp_link` and mark those
within its boundaries
...
Arguments
---------
shp_link : str
Path to polygon shapefile
spaced : float
Share in the range [0, 1] that should be left between
points on each axis
Returns
-------
xys : ndarray
Nx3 array with XY coordinates of the entire grid and 1 if the
point is inside, 0 otherwise
gdim : tuple
Dimensions of the grid
'''
shp = ps.open(shp_link)
difX = (shp.bbox[2] - shp.bbox[0]) * spaced
xs = np.arange(shp.bbox[0], shp.bbox[2]+difX, difX)
difY = (shp.bbox[3] - shp.bbox[1]) * spaced
ys = np.arange(shp.bbox[1], shp.bbox[3]+difY, difY)
X, Y = np.meshgrid(xs, ys)
xys = np.vstack((X.ravel(), Y.ravel(), np.zeros(Y.ravel().shape))).T
corr = np.array(pip_xy_shp_multi(xys[:, :2], shp_link, empty=-9))
corr[np.where(corr=='out')] = -9
xys[:, 2] = corr.astype(int)
xys[np.where(xys[:, 2] != -9), 2] = 1
xys[np.where(xys[:, 2] == -9), 2] = 0
return xys, X.shape
if __name__ == '__main__':
import matplotlib.pyplot as plt
from pysal.contrib.viz import mapping as maps
link = ps.examples.get_path('taz.shp')
link = ps.examples.get_path('columbus.shp')
shp = ps.open(link)
pts = np.array([p.centroid for p in ps.open(link)])
xyz, gdim = kde_map(pts, shp_link=link, spaced=0.03)
x = xyz[:, 0].reshape(gdim)
y = xyz[:, 1].reshape(gdim)
z = xyz[:, 2].reshape(gdim)
levels = np.linspace(0, z.max(), 25)
f = plt.figure()
base = maps.map_poly_shp(ps.open(link))
base.set_facecolor('none')
ax = maps.setup_ax([base])
cont = plt.contourf(x, y, z, levels=levels, cmap=plt.cm.bone)
cont.set_alpha(0.5)
cents = plt.scatter(pts[:, 0], pts[:, 1])
plt.show()
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